Question 24221: One Convolution Degree Is Not the Whole Exponential Addition Proof

Original question and givens

Use the whole real series E(x)=sum over n≥0 of x^n/n!, with power-series coefficients1/n!. A finite sum is a separate object; whole-series identities require the declared convergence and rearrangement obligations. Use x=21/22, y=-22/23, declared degree=20. Give (x, y, degree, coefficient_terms, convolution_coefficient, sum_argument_coefficient, equal, certificate).

• G001 — Use the whole real series E(x)=sum over n≥0 of x^n/n!, with power-series coefficients1/n!. A finite sum is a separate object; whole-series identities require the declared convergence and rearrangement obligations. Use x=21/22, y=-22/23, declared degree=20. Give (x, y, degree, coefficient_terms, convolution_coefficient, sum_argument_coefficient, equal, certificate).

Definition and scope

Use the original question domain, assumptions and cited MKO definitions. This item has second-context mathematical and bilingual review, with the model, answer and every arithmetic step independently recomputed from the original parameters; the source question remains a candidate.

• mko-real-exponential-function

Step-by-step derivation

source roles = [exp-addition-convolution]

derived = [[x, y, degree, coefficient_terms, convolution_coefficient, sum_argument_coefficient, equal, certificate]]

(21/22)^0

Exp convolution x power0 = 1

(-22/23)^20

Exp convolution y power20 = 705429498686404044207947776/1716155831334586342923895201

Exp convolution numerator0 := mul(1, 705429498686404044207947776/1716155831334586342923895201)

Exp convolution numerator0 = 705429498686404044207947776/1716155831334586342923895201

source roles = [0]

derived = [1]

Exp convolution right0 factorial step1 := mul(1, 1)

Exp convolution right0 factorial step1 = 1

Exp convolution right0 factorial step2 := mul(1, 2)

Exp convolution right0 factorial step2 = 2

Exp convolution right0 factorial step3 := mul(2, 3)

Exp convolution right0 factorial step3 = 6

Exp convolution right0 factorial step4 := mul(6, 4)

Exp convolution right0 factorial step4 = 24

Exp convolution right0 factorial step5 := mul(24, 5)

Exp convolution right0 factorial step5 = 120

Exp convolution right0 factorial step6 := mul(120, 6)

Exp convolution right0 factorial step6 = 720

Exp convolution right0 factorial step7 := mul(720, 7)

Exp convolution right0 factorial step7 = 5040

Exp convolution right0 factorial step8 := mul(5040, 8)

Exp convolution right0 factorial step8 = 40320

Exp convolution right0 factorial step9 := mul(40320, 9)

Exp convolution right0 factorial step9 = 362880

Exp convolution right0 factorial step10 := mul(362880, 10)

Exp convolution right0 factorial step10 = 3628800

Exp convolution right0 factorial step11 := mul(3628800, 11)

Exp convolution right0 factorial step11 = 39916800

Exp convolution right0 factorial step12 := mul(39916800, 12)

Exp convolution right0 factorial step12 = 479001600

Exp convolution right0 factorial step13 := mul(479001600, 13)

Exp convolution right0 factorial step13 = 6227020800

Exp convolution right0 factorial step14 := mul(6227020800, 14)

Exp convolution right0 factorial step14 = 87178291200

Exp convolution right0 factorial step15 := mul(87178291200, 15)

Exp convolution right0 factorial step15 = 1307674368000

Exp convolution right0 factorial step16 := mul(1307674368000, 16)

Exp convolution right0 factorial step16 = 20922789888000

Exp convolution right0 factorial step17 := mul(20922789888000, 17)

Exp convolution right0 factorial step17 = 355687428096000

Exp convolution right0 factorial step18 := mul(355687428096000, 18)

Exp convolution right0 factorial step18 = 6402373705728000

Exp convolution right0 factorial step19 := mul(6402373705728000, 19)

Exp convolution right0 factorial step19 = 121645100408832000

Exp convolution right0 factorial step20 := mul(121645100408832000, 20)

Exp convolution right0 factorial step20 = 2432902008176640000

Exp convolution denominator0 := mul(1, 2432902008176640000)

Exp convolution denominator0 = 2432902008176640000

Exp convolution coefficient term0 := div(705429498686404044207947776/1716155831334586342923895201, 2432902008176640000)

Exp convolution coefficient term0 = 244636361793658185164/1447933879643515222582682716129837194375

(21/22)^1

Exp convolution x power1 = 21/22

(-22/23)^19

Exp convolution y power19 = -32064977213018365645815808/74615470927590710561908487

Exp convolution numerator1 := mul(21/22, -32064977213018365645815808/74615470927590710561908487)

Exp convolution numerator1 = -30607478248790258116460544/74615470927590710561908487

Exp convolution left1 factorial step1 := mul(1, 1)

Exp convolution left1 factorial step1 = 1

Exp convolution right1 factorial step1 := mul(1, 1)

Exp convolution right1 factorial step1 = 1

Exp convolution right1 factorial step2 := mul(1, 2)

Exp convolution right1 factorial step2 = 2

Exp convolution right1 factorial step3 := mul(2, 3)

Exp convolution right1 factorial step3 = 6

Exp convolution right1 factorial step4 := mul(6, 4)

Exp convolution right1 factorial step4 = 24

Exp convolution right1 factorial step5 := mul(24, 5)

Exp convolution right1 factorial step5 = 120

Exp convolution right1 factorial step6 := mul(120, 6)

Exp convolution right1 factorial step6 = 720

Exp convolution right1 factorial step7 := mul(720, 7)

Exp convolution right1 factorial step7 = 5040

Exp convolution right1 factorial step8 := mul(5040, 8)

Exp convolution right1 factorial step8 = 40320

Exp convolution right1 factorial step9 := mul(40320, 9)

Exp convolution right1 factorial step9 = 362880

Exp convolution right1 factorial step10 := mul(362880, 10)

Exp convolution right1 factorial step10 = 3628800

Exp convolution right1 factorial step11 := mul(3628800, 11)

Exp convolution right1 factorial step11 = 39916800

Exp convolution right1 factorial step12 := mul(39916800, 12)

Exp convolution right1 factorial step12 = 479001600

Exp convolution right1 factorial step13 := mul(479001600, 13)

Exp convolution right1 factorial step13 = 6227020800

Exp convolution right1 factorial step14 := mul(6227020800, 14)

Exp convolution right1 factorial step14 = 87178291200

Exp convolution right1 factorial step15 := mul(87178291200, 15)

Exp convolution right1 factorial step15 = 1307674368000

Exp convolution right1 factorial step16 := mul(1307674368000, 16)

Exp convolution right1 factorial step16 = 20922789888000

Exp convolution right1 factorial step17 := mul(20922789888000, 17)

Exp convolution right1 factorial step17 = 355687428096000

Exp convolution right1 factorial step18 := mul(355687428096000, 18)

Exp convolution right1 factorial step18 = 6402373705728000

Exp convolution right1 factorial step19 := mul(6402373705728000, 19)

Exp convolution right1 factorial step19 = 121645100408832000

Exp convolution denominator1 := mul(1, 121645100408832000)

Exp convolution denominator1 = 121645100408832000

Exp convolution coefficient term1 := div(-30607478248790258116460544/74615470927590710561908487, 121645100408832000)

Exp convolution coefficient term1 = -2021788113997175084/599558542295451437922435907300139625

(21/22)^2

Exp convolution x power2 = 441/484

(-22/23)^18

Exp convolution y power18 = 1457498964228107529355264/3244150909895248285300369

Exp convolution numerator2 := mul(441/484, 1457498964228107529355264/3244150909895248285300369)

Exp convolution numerator2 = 1328010419885527728193536/3244150909895248285300369

Exp convolution left2 factorial step1 := mul(1, 1)

Exp convolution left2 factorial step1 = 1

Exp convolution left2 factorial step2 := mul(1, 2)

Exp convolution left2 factorial step2 = 2

Exp convolution right2 factorial step1 := mul(1, 1)

Exp convolution right2 factorial step1 = 1

Exp convolution right2 factorial step2 := mul(1, 2)

Exp convolution right2 factorial step2 = 2

Exp convolution right2 factorial step3 := mul(2, 3)

Exp convolution right2 factorial step3 = 6

Exp convolution right2 factorial step4 := mul(6, 4)

Exp convolution right2 factorial step4 = 24

Exp convolution right2 factorial step5 := mul(24, 5)

Exp convolution right2 factorial step5 = 120

Exp convolution right2 factorial step6 := mul(120, 6)

Exp convolution right2 factorial step6 = 720

Exp convolution right2 factorial step7 := mul(720, 7)

Exp convolution right2 factorial step7 = 5040

Exp convolution right2 factorial step8 := mul(5040, 8)

Exp convolution right2 factorial step8 = 40320

Exp convolution right2 factorial step9 := mul(40320, 9)

Exp convolution right2 factorial step9 = 362880

Exp convolution right2 factorial step10 := mul(362880, 10)

Exp convolution right2 factorial step10 = 3628800

Exp convolution right2 factorial step11 := mul(3628800, 11)

Exp convolution right2 factorial step11 = 39916800

Exp convolution right2 factorial step12 := mul(39916800, 12)

Exp convolution right2 factorial step12 = 479001600

Exp convolution right2 factorial step13 := mul(479001600, 13)

Exp convolution right2 factorial step13 = 6227020800

Exp convolution right2 factorial step14 := mul(6227020800, 14)

Exp convolution right2 factorial step14 = 87178291200

Exp convolution right2 factorial step15 := mul(87178291200, 15)

Exp convolution right2 factorial step15 = 1307674368000

Exp convolution right2 factorial step16 := mul(1307674368000, 16)

Exp convolution right2 factorial step16 = 20922789888000

Exp convolution right2 factorial step17 := mul(20922789888000, 17)

Exp convolution right2 factorial step17 = 355687428096000

Exp convolution right2 factorial step18 := mul(355687428096000, 18)

Exp convolution right2 factorial step18 = 6402373705728000

Exp convolution denominator2 := mul(2, 6402373705728000)

Exp convolution denominator2 = 12804747411456000

Exp convolution coefficient term2 := div(1328010419885527728193536/3244150909895248285300369, 12804747411456000)

Exp convolution coefficient term2 = 4177248169415651/130665477235578388999114287305250

(21/22)^3

Exp convolution x power3 = 9261/10648

(-22/23)^17

Exp convolution y power17 = -66249952919459433152512/141050039560662968926103

Exp convolution numerator3 := mul(9261/10648, -66249952919459433152512/141050039560662968926103)

Exp convolution numerator3 = -57620286813215046057984/141050039560662968926103

Exp convolution left3 factorial step1 := mul(1, 1)

Exp convolution left3 factorial step1 = 1

Exp convolution left3 factorial step2 := mul(1, 2)

Exp convolution left3 factorial step2 = 2

Exp convolution left3 factorial step3 := mul(2, 3)

Exp convolution left3 factorial step3 = 6

Exp convolution right3 factorial step1 := mul(1, 1)

Exp convolution right3 factorial step1 = 1

Exp convolution right3 factorial step2 := mul(1, 2)

Exp convolution right3 factorial step2 = 2

Exp convolution right3 factorial step3 := mul(2, 3)

Exp convolution right3 factorial step3 = 6

Exp convolution right3 factorial step4 := mul(6, 4)

Exp convolution right3 factorial step4 = 24

Exp convolution right3 factorial step5 := mul(24, 5)

Exp convolution right3 factorial step5 = 120

Exp convolution right3 factorial step6 := mul(120, 6)

Exp convolution right3 factorial step6 = 720

Exp convolution right3 factorial step7 := mul(720, 7)

Exp convolution right3 factorial step7 = 5040

Exp convolution right3 factorial step8 := mul(5040, 8)

Exp convolution right3 factorial step8 = 40320

Exp convolution right3 factorial step9 := mul(40320, 9)

Exp convolution right3 factorial step9 = 362880

Exp convolution right3 factorial step10 := mul(362880, 10)

Exp convolution right3 factorial step10 = 3628800

Exp convolution right3 factorial step11 := mul(3628800, 11)

Exp convolution right3 factorial step11 = 39916800

Exp convolution right3 factorial step12 := mul(39916800, 12)

Exp convolution right3 factorial step12 = 479001600

Exp convolution right3 factorial step13 := mul(479001600, 13)

Exp convolution right3 factorial step13 = 6227020800

Exp convolution right3 factorial step14 := mul(6227020800, 14)

Exp convolution right3 factorial step14 = 87178291200

Exp convolution right3 factorial step15 := mul(87178291200, 15)

Exp convolution right3 factorial step15 = 1307674368000

Exp convolution right3 factorial step16 := mul(1307674368000, 16)

Exp convolution right3 factorial step16 = 20922789888000

Exp convolution right3 factorial step17 := mul(20922789888000, 17)

Exp convolution right3 factorial step17 = 355687428096000

Exp convolution denominator3 := mul(6, 355687428096000)

Exp convolution denominator3 = 2134124568576000

Exp convolution coefficient term3 := div(-57620286813215046057984/141050039560662968926103, 2134124568576000)

Exp convolution coefficient term3 = -241658985007517/1262468379087713903373084901500

(21/22)^4

Exp convolution x power4 = 194481/234256

(-22/23)^16

Exp convolution y power16 = 3011361496339065143296/6132610415680998648961

Exp convolution numerator4 := mul(194481/234256, 3011361496339065143296/6132610415680998648961)

Exp convolution numerator4 = 2500053766689082576896/6132610415680998648961

Exp convolution left4 factorial step1 := mul(1, 1)

Exp convolution left4 factorial step1 = 1

Exp convolution left4 factorial step2 := mul(1, 2)

Exp convolution left4 factorial step2 = 2

Exp convolution left4 factorial step3 := mul(2, 3)

Exp convolution left4 factorial step3 = 6

Exp convolution left4 factorial step4 := mul(6, 4)

Exp convolution left4 factorial step4 = 24

Exp convolution right4 factorial step1 := mul(1, 1)

Exp convolution right4 factorial step1 = 1

Exp convolution right4 factorial step2 := mul(1, 2)

Exp convolution right4 factorial step2 = 2

Exp convolution right4 factorial step3 := mul(2, 3)

Exp convolution right4 factorial step3 = 6

Exp convolution right4 factorial step4 := mul(6, 4)

Exp convolution right4 factorial step4 = 24

Exp convolution right4 factorial step5 := mul(24, 5)

Exp convolution right4 factorial step5 = 120

Exp convolution right4 factorial step6 := mul(120, 6)

Exp convolution right4 factorial step6 = 720

Exp convolution right4 factorial step7 := mul(720, 7)

Exp convolution right4 factorial step7 = 5040

Exp convolution right4 factorial step8 := mul(5040, 8)

Exp convolution right4 factorial step8 = 40320

Exp convolution right4 factorial step9 := mul(40320, 9)

Exp convolution right4 factorial step9 = 362880

Exp convolution right4 factorial step10 := mul(362880, 10)

Exp convolution right4 factorial step10 = 3628800

Exp convolution right4 factorial step11 := mul(3628800, 11)

Exp convolution right4 factorial step11 = 39916800

Exp convolution right4 factorial step12 := mul(39916800, 12)

Exp convolution right4 factorial step12 = 479001600

Exp convolution right4 factorial step13 := mul(479001600, 13)

Exp convolution right4 factorial step13 = 6227020800

Exp convolution right4 factorial step14 := mul(6227020800, 14)

Exp convolution right4 factorial step14 = 87178291200

Exp convolution right4 factorial step15 := mul(87178291200, 15)

Exp convolution right4 factorial step15 = 1307674368000

Exp convolution right4 factorial step16 := mul(1307674368000, 16)

Exp convolution right4 factorial step16 = 20922789888000

Exp convolution denominator4 := mul(24, 20922789888000)

Exp convolution denominator4 = 502146957312000

Exp convolution coefficient term4 := div(2500053766689082576896/6132610415680998648961, 502146957312000)

Exp convolution coefficient term4 = 13980271859939/17220370047232244206282488000

(21/22)^5

Exp convolution x power5 = 4084101/5153632

(-22/23)^15

Exp convolution y power15 = -136880068015412051968/266635235464391245607

Exp convolution numerator5 := mul(4084101/5153632, -136880068015412051968/266635235464391245607)

Exp convolution numerator5 = -108473407232377549824/266635235464391245607

Exp convolution left5 factorial step1 := mul(1, 1)

Exp convolution left5 factorial step1 = 1

Exp convolution left5 factorial step2 := mul(1, 2)

Exp convolution left5 factorial step2 = 2

Exp convolution left5 factorial step3 := mul(2, 3)

Exp convolution left5 factorial step3 = 6

Exp convolution left5 factorial step4 := mul(6, 4)

Exp convolution left5 factorial step4 = 24

Exp convolution left5 factorial step5 := mul(24, 5)

Exp convolution left5 factorial step5 = 120

Exp convolution right5 factorial step1 := mul(1, 1)

Exp convolution right5 factorial step1 = 1

Exp convolution right5 factorial step2 := mul(1, 2)

Exp convolution right5 factorial step2 = 2

Exp convolution right5 factorial step3 := mul(2, 3)

Exp convolution right5 factorial step3 = 6

Exp convolution right5 factorial step4 := mul(6, 4)

Exp convolution right5 factorial step4 = 24

Exp convolution right5 factorial step5 := mul(24, 5)

Exp convolution right5 factorial step5 = 120

Exp convolution right5 factorial step6 := mul(120, 6)

Exp convolution right5 factorial step6 = 720

Exp convolution right5 factorial step7 := mul(720, 7)

Exp convolution right5 factorial step7 = 5040

Exp convolution right5 factorial step8 := mul(5040, 8)

Exp convolution right5 factorial step8 = 40320

Exp convolution right5 factorial step9 := mul(40320, 9)

Exp convolution right5 factorial step9 = 362880

Exp convolution right5 factorial step10 := mul(362880, 10)

Exp convolution right5 factorial step10 = 3628800

Exp convolution right5 factorial step11 := mul(3628800, 11)

Exp convolution right5 factorial step11 = 39916800

Exp convolution right5 factorial step12 := mul(39916800, 12)

Exp convolution right5 factorial step12 = 479001600

Exp convolution right5 factorial step13 := mul(479001600, 13)

Exp convolution right5 factorial step13 = 6227020800

Exp convolution right5 factorial step14 := mul(6227020800, 14)

Exp convolution right5 factorial step14 = 87178291200

Exp convolution right5 factorial step15 := mul(87178291200, 15)

Exp convolution right5 factorial step15 = 1307674368000

Exp convolution denominator5 := mul(120, 1307674368000)

Exp convolution denominator5 = 156920924160000

Exp convolution coefficient term5 := div(-108473407232377549824/266635235464391245607, 156920924160000)

Exp convolution coefficient term5 = -808776058013/311963225493337757360190000

(21/22)^6

Exp convolution x power6 = 85766121/113379904

(-22/23)^14

Exp convolution y power14 = 6221821273427820544/11592836324538749809

Exp convolution numerator6 := mul(85766121/113379904, 6221821273427820544/11592836324538749809)

Exp convolution numerator6 = 4706490809669273856/11592836324538749809

Exp convolution left6 factorial step1 := mul(1, 1)

Exp convolution left6 factorial step1 = 1

Exp convolution left6 factorial step2 := mul(1, 2)

Exp convolution left6 factorial step2 = 2

Exp convolution left6 factorial step3 := mul(2, 3)

Exp convolution left6 factorial step3 = 6

Exp convolution left6 factorial step4 := mul(6, 4)

Exp convolution left6 factorial step4 = 24

Exp convolution left6 factorial step5 := mul(24, 5)

Exp convolution left6 factorial step5 = 120

Exp convolution left6 factorial step6 := mul(120, 6)

Exp convolution left6 factorial step6 = 720

Exp convolution right6 factorial step1 := mul(1, 1)

Exp convolution right6 factorial step1 = 1

Exp convolution right6 factorial step2 := mul(1, 2)

Exp convolution right6 factorial step2 = 2

Exp convolution right6 factorial step3 := mul(2, 3)

Exp convolution right6 factorial step3 = 6

Exp convolution right6 factorial step4 := mul(6, 4)

Exp convolution right6 factorial step4 = 24

Exp convolution right6 factorial step5 := mul(24, 5)

Exp convolution right6 factorial step5 = 120

Exp convolution right6 factorial step6 := mul(120, 6)

Exp convolution right6 factorial step6 = 720

Exp convolution right6 factorial step7 := mul(720, 7)

Exp convolution right6 factorial step7 = 5040

Exp convolution right6 factorial step8 := mul(5040, 8)

Exp convolution right6 factorial step8 = 40320

Exp convolution right6 factorial step9 := mul(40320, 9)

Exp convolution right6 factorial step9 = 362880

Exp convolution right6 factorial step10 := mul(362880, 10)

Exp convolution right6 factorial step10 = 3628800

Exp convolution right6 factorial step11 := mul(3628800, 11)

Exp convolution right6 factorial step11 = 39916800

Exp convolution right6 factorial step12 := mul(39916800, 12)

Exp convolution right6 factorial step12 = 479001600

Exp convolution right6 factorial step13 := mul(479001600, 13)

Exp convolution right6 factorial step13 = 6227020800

Exp convolution right6 factorial step14 := mul(6227020800, 14)

Exp convolution right6 factorial step14 = 87178291200

Exp convolution denominator6 := mul(720, 87178291200)

Exp convolution denominator6 = 62768369664000

Exp convolution coefficient term6 := div(4706490809669273856/11592836324538749809, 62768369664000)

Exp convolution coefficient term6 = 46788697571/7233929866512179880816000

(21/22)^7

Exp convolution x power7 = 1801088541/2494357888

(-22/23)^13

Exp convolution y power13 = -282810057883082752/504036361936467383

Exp convolution numerator7 := mul(1801088541/2494357888, -282810057883082752/504036361936467383)

Exp convolution numerator7 = -204207245874080064/504036361936467383

Exp convolution left7 factorial step1 := mul(1, 1)

Exp convolution left7 factorial step1 = 1

Exp convolution left7 factorial step2 := mul(1, 2)

Exp convolution left7 factorial step2 = 2

Exp convolution left7 factorial step3 := mul(2, 3)

Exp convolution left7 factorial step3 = 6

Exp convolution left7 factorial step4 := mul(6, 4)

Exp convolution left7 factorial step4 = 24

Exp convolution left7 factorial step5 := mul(24, 5)

Exp convolution left7 factorial step5 = 120

Exp convolution left7 factorial step6 := mul(120, 6)

Exp convolution left7 factorial step6 = 720

Exp convolution left7 factorial step7 := mul(720, 7)

Exp convolution left7 factorial step7 = 5040

Exp convolution right7 factorial step1 := mul(1, 1)

Exp convolution right7 factorial step1 = 1

Exp convolution right7 factorial step2 := mul(1, 2)

Exp convolution right7 factorial step2 = 2

Exp convolution right7 factorial step3 := mul(2, 3)

Exp convolution right7 factorial step3 = 6

Exp convolution right7 factorial step4 := mul(6, 4)

Exp convolution right7 factorial step4 = 24

Exp convolution right7 factorial step5 := mul(24, 5)

Exp convolution right7 factorial step5 = 120

Exp convolution right7 factorial step6 := mul(120, 6)

Exp convolution right7 factorial step6 = 720

Exp convolution right7 factorial step7 := mul(720, 7)

Exp convolution right7 factorial step7 = 5040

Exp convolution right7 factorial step8 := mul(5040, 8)

Exp convolution right7 factorial step8 = 40320

Exp convolution right7 factorial step9 := mul(40320, 9)

Exp convolution right7 factorial step9 = 362880

Exp convolution right7 factorial step10 := mul(362880, 10)

Exp convolution right7 factorial step10 = 3628800

Exp convolution right7 factorial step11 := mul(3628800, 11)

Exp convolution right7 factorial step11 = 39916800

Exp convolution right7 factorial step12 := mul(39916800, 12)

Exp convolution right7 factorial step12 = 479001600

Exp convolution right7 factorial step13 := mul(479001600, 13)

Exp convolution right7 factorial step13 = 6227020800

Exp convolution denominator7 := mul(5040, 6227020800)

Exp convolution denominator7 = 31384184832000

Exp convolution coefficient term7 := div(-204207245874080064/504036361936467383, 31384184832000)

Exp convolution coefficient term7 = -2706784157/209679126565570431328000

(21/22)^8

Exp convolution x power8 = 37822859361/54875873536

(-22/23)^12

Exp convolution y power12 = 12855002631049216/21914624432020321

Exp convolution numerator8 := mul(37822859361/54875873536, 12855002631049216/21914624432020321)

Exp convolution numerator8 = 8860231742470416/21914624432020321

Exp convolution left8 factorial step1 := mul(1, 1)

Exp convolution left8 factorial step1 = 1

Exp convolution left8 factorial step2 := mul(1, 2)

Exp convolution left8 factorial step2 = 2

Exp convolution left8 factorial step3 := mul(2, 3)

Exp convolution left8 factorial step3 = 6

Exp convolution left8 factorial step4 := mul(6, 4)

Exp convolution left8 factorial step4 = 24

Exp convolution left8 factorial step5 := mul(24, 5)

Exp convolution left8 factorial step5 = 120

Exp convolution left8 factorial step6 := mul(120, 6)

Exp convolution left8 factorial step6 = 720

Exp convolution left8 factorial step7 := mul(720, 7)

Exp convolution left8 factorial step7 = 5040

Exp convolution left8 factorial step8 := mul(5040, 8)

Exp convolution left8 factorial step8 = 40320

Exp convolution right8 factorial step1 := mul(1, 1)

Exp convolution right8 factorial step1 = 1

Exp convolution right8 factorial step2 := mul(1, 2)

Exp convolution right8 factorial step2 = 2

Exp convolution right8 factorial step3 := mul(2, 3)

Exp convolution right8 factorial step3 = 6

Exp convolution right8 factorial step4 := mul(6, 4)

Exp convolution right8 factorial step4 = 24

Exp convolution right8 factorial step5 := mul(24, 5)

Exp convolution right8 factorial step5 = 120

Exp convolution right8 factorial step6 := mul(120, 6)

Exp convolution right8 factorial step6 = 720

Exp convolution right8 factorial step7 := mul(720, 7)

Exp convolution right8 factorial step7 = 5040

Exp convolution right8 factorial step8 := mul(5040, 8)

Exp convolution right8 factorial step8 = 40320

Exp convolution right8 factorial step9 := mul(40320, 9)

Exp convolution right8 factorial step9 = 362880

Exp convolution right8 factorial step10 := mul(362880, 10)

Exp convolution right8 factorial step10 = 3628800

Exp convolution right8 factorial step11 := mul(3628800, 11)

Exp convolution right8 factorial step11 = 39916800

Exp convolution right8 factorial step12 := mul(39916800, 12)

Exp convolution right8 factorial step12 = 479001600

Exp convolution denominator8 := mul(40320, 479001600)

Exp convolution denominator8 = 19313344512000

Exp convolution coefficient term8 := div(8860231742470416/21914624432020321, 19313344512000)

Exp convolution coefficient term8 = 469772457/22440575418388808704000

(21/22)^9

Exp convolution x power9 = 794280046581/1207269217792

(-22/23)^11

Exp convolution y power11 = -584318301411328/952809757913927

Exp convolution numerator9 := mul(794280046581/1207269217792, -584318301411328/952809757913927)

Exp convolution numerator9 = -384431542545204/952809757913927

Exp convolution left9 factorial step1 := mul(1, 1)

Exp convolution left9 factorial step1 = 1

Exp convolution left9 factorial step2 := mul(1, 2)

Exp convolution left9 factorial step2 = 2

Exp convolution left9 factorial step3 := mul(2, 3)

Exp convolution left9 factorial step3 = 6

Exp convolution left9 factorial step4 := mul(6, 4)

Exp convolution left9 factorial step4 = 24

Exp convolution left9 factorial step5 := mul(24, 5)

Exp convolution left9 factorial step5 = 120

Exp convolution left9 factorial step6 := mul(120, 6)

Exp convolution left9 factorial step6 = 720

Exp convolution left9 factorial step7 := mul(720, 7)

Exp convolution left9 factorial step7 = 5040

Exp convolution left9 factorial step8 := mul(5040, 8)

Exp convolution left9 factorial step8 = 40320

Exp convolution left9 factorial step9 := mul(40320, 9)

Exp convolution left9 factorial step9 = 362880

Exp convolution right9 factorial step1 := mul(1, 1)

Exp convolution right9 factorial step1 = 1

Exp convolution right9 factorial step2 := mul(1, 2)

Exp convolution right9 factorial step2 = 2

Exp convolution right9 factorial step3 := mul(2, 3)

Exp convolution right9 factorial step3 = 6

Exp convolution right9 factorial step4 := mul(6, 4)

Exp convolution right9 factorial step4 = 24

Exp convolution right9 factorial step5 := mul(24, 5)

Exp convolution right9 factorial step5 = 120

Exp convolution right9 factorial step6 := mul(120, 6)

Exp convolution right9 factorial step6 = 720

Exp convolution right9 factorial step7 := mul(720, 7)

Exp convolution right9 factorial step7 = 5040

Exp convolution right9 factorial step8 := mul(5040, 8)

Exp convolution right9 factorial step8 = 40320

Exp convolution right9 factorial step9 := mul(40320, 9)

Exp convolution right9 factorial step9 = 362880

Exp convolution right9 factorial step10 := mul(362880, 10)

Exp convolution right9 factorial step10 = 3628800

Exp convolution right9 factorial step11 := mul(3628800, 11)

Exp convolution right9 factorial step11 = 39916800

Exp convolution denominator9 := mul(362880, 39916800)

Exp convolution denominator9 = 14485008384000

Exp convolution coefficient term9 := div(-384431542545204/952809757913927, 14485008384000)

Exp convolution coefficient term9 = -27176919/975677192103861248000

(21/22)^10

Exp convolution x power10 = 16679880978201/26559922791424

(-22/23)^10

Exp convolution y power10 = 26559922791424/41426511213649

Exp convolution numerator10 := mul(16679880978201/26559922791424, 26559922791424/41426511213649)

Exp convolution numerator10 = 16679880978201/41426511213649

Exp convolution left10 factorial step1 := mul(1, 1)

Exp convolution left10 factorial step1 = 1

Exp convolution left10 factorial step2 := mul(1, 2)

Exp convolution left10 factorial step2 = 2

Exp convolution left10 factorial step3 := mul(2, 3)

Exp convolution left10 factorial step3 = 6

Exp convolution left10 factorial step4 := mul(6, 4)

Exp convolution left10 factorial step4 = 24

Exp convolution left10 factorial step5 := mul(24, 5)

Exp convolution left10 factorial step5 = 120

Exp convolution left10 factorial step6 := mul(120, 6)

Exp convolution left10 factorial step6 = 720

Exp convolution left10 factorial step7 := mul(720, 7)

Exp convolution left10 factorial step7 = 5040

Exp convolution left10 factorial step8 := mul(5040, 8)

Exp convolution left10 factorial step8 = 40320

Exp convolution left10 factorial step9 := mul(40320, 9)

Exp convolution left10 factorial step9 = 362880

Exp convolution left10 factorial step10 := mul(362880, 10)

Exp convolution left10 factorial step10 = 3628800

Exp convolution right10 factorial step1 := mul(1, 1)

Exp convolution right10 factorial step1 = 1

Exp convolution right10 factorial step2 := mul(1, 2)

Exp convolution right10 factorial step2 = 2

Exp convolution right10 factorial step3 := mul(2, 3)

Exp convolution right10 factorial step3 = 6

Exp convolution right10 factorial step4 := mul(6, 4)

Exp convolution right10 factorial step4 = 24

Exp convolution right10 factorial step5 := mul(24, 5)

Exp convolution right10 factorial step5 = 120

Exp convolution right10 factorial step6 := mul(120, 6)

Exp convolution right10 factorial step6 = 720

Exp convolution right10 factorial step7 := mul(720, 7)

Exp convolution right10 factorial step7 = 5040

Exp convolution right10 factorial step8 := mul(5040, 8)

Exp convolution right10 factorial step8 = 40320

Exp convolution right10 factorial step9 := mul(40320, 9)

Exp convolution right10 factorial step9 = 362880

Exp convolution right10 factorial step10 := mul(362880, 10)

Exp convolution right10 factorial step10 = 3628800

Exp convolution denominator10 := mul(3628800, 3628800)

Exp convolution denominator10 = 13168189440000

Exp convolution coefficient term10 := div(16679880978201/41426511213649, 13168189440000)

Exp convolution coefficient term10 = 51883209/1696829899311063040000

(21/22)^11

Exp convolution x power11 = 350277500542221/584318301411328

(-22/23)^9

Exp convolution y power9 = -1207269217792/1801152661463

Exp convolution numerator11 := mul(350277500542221/584318301411328, -1207269217792/1801152661463)

Exp convolution numerator11 = -350277500542221/871757888148092

Exp convolution left11 factorial step1 := mul(1, 1)

Exp convolution left11 factorial step1 = 1

Exp convolution left11 factorial step2 := mul(1, 2)

Exp convolution left11 factorial step2 = 2

Exp convolution left11 factorial step3 := mul(2, 3)

Exp convolution left11 factorial step3 = 6

Exp convolution left11 factorial step4 := mul(6, 4)

Exp convolution left11 factorial step4 = 24

Exp convolution left11 factorial step5 := mul(24, 5)

Exp convolution left11 factorial step5 = 120

Exp convolution left11 factorial step6 := mul(120, 6)

Exp convolution left11 factorial step6 = 720

Exp convolution left11 factorial step7 := mul(720, 7)

Exp convolution left11 factorial step7 = 5040

Exp convolution left11 factorial step8 := mul(5040, 8)

Exp convolution left11 factorial step8 = 40320

Exp convolution left11 factorial step9 := mul(40320, 9)

Exp convolution left11 factorial step9 = 362880

Exp convolution left11 factorial step10 := mul(362880, 10)

Exp convolution left11 factorial step10 = 3628800

Exp convolution left11 factorial step11 := mul(3628800, 11)

Exp convolution left11 factorial step11 = 39916800

Exp convolution right11 factorial step1 := mul(1, 1)

Exp convolution right11 factorial step1 = 1

Exp convolution right11 factorial step2 := mul(1, 2)

Exp convolution right11 factorial step2 = 2

Exp convolution right11 factorial step3 := mul(2, 3)

Exp convolution right11 factorial step3 = 6

Exp convolution right11 factorial step4 := mul(6, 4)

Exp convolution right11 factorial step4 = 24

Exp convolution right11 factorial step5 := mul(24, 5)

Exp convolution right11 factorial step5 = 120

Exp convolution right11 factorial step6 := mul(120, 6)

Exp convolution right11 factorial step6 = 720

Exp convolution right11 factorial step7 := mul(720, 7)

Exp convolution right11 factorial step7 = 5040

Exp convolution right11 factorial step8 := mul(5040, 8)

Exp convolution right11 factorial step8 = 40320

Exp convolution right11 factorial step9 := mul(40320, 9)

Exp convolution right11 factorial step9 = 362880

Exp convolution denominator11 := mul(39916800, 362880)

Exp convolution denominator11 = 14485008384000

Exp convolution coefficient term11 := div(-350277500542221/871757888148092, 14485008384000)

Exp convolution coefficient term11 = -1089547389/39277923408400433152000

(21/22)^12

Exp convolution x power12 = 7355827511386641/12855002631049216

(-22/23)^8

Exp convolution y power8 = 54875873536/78310985281

Exp convolution numerator12 := mul(7355827511386641/12855002631049216, 54875873536/78310985281)

Exp convolution numerator12 = 7355827511386641/18344818167985936

Exp convolution left12 factorial step1 := mul(1, 1)

Exp convolution left12 factorial step1 = 1

Exp convolution left12 factorial step2 := mul(1, 2)

Exp convolution left12 factorial step2 = 2

Exp convolution left12 factorial step3 := mul(2, 3)

Exp convolution left12 factorial step3 = 6

Exp convolution left12 factorial step4 := mul(6, 4)

Exp convolution left12 factorial step4 = 24

Exp convolution left12 factorial step5 := mul(24, 5)

Exp convolution left12 factorial step5 = 120

Exp convolution left12 factorial step6 := mul(120, 6)

Exp convolution left12 factorial step6 = 720

Exp convolution left12 factorial step7 := mul(720, 7)

Exp convolution left12 factorial step7 = 5040

Exp convolution left12 factorial step8 := mul(5040, 8)

Exp convolution left12 factorial step8 = 40320

Exp convolution left12 factorial step9 := mul(40320, 9)

Exp convolution left12 factorial step9 = 362880

Exp convolution left12 factorial step10 := mul(362880, 10)

Exp convolution left12 factorial step10 = 3628800

Exp convolution left12 factorial step11 := mul(3628800, 11)

Exp convolution left12 factorial step11 = 39916800

Exp convolution left12 factorial step12 := mul(39916800, 12)

Exp convolution left12 factorial step12 = 479001600

Exp convolution right12 factorial step1 := mul(1, 1)

Exp convolution right12 factorial step1 = 1

Exp convolution right12 factorial step2 := mul(1, 2)

Exp convolution right12 factorial step2 = 2

Exp convolution right12 factorial step3 := mul(2, 3)

Exp convolution right12 factorial step3 = 6

Exp convolution right12 factorial step4 := mul(6, 4)

Exp convolution right12 factorial step4 = 24

Exp convolution right12 factorial step5 := mul(24, 5)

Exp convolution right12 factorial step5 = 120

Exp convolution right12 factorial step6 := mul(120, 6)

Exp convolution right12 factorial step6 = 720

Exp convolution right12 factorial step7 := mul(720, 7)

Exp convolution right12 factorial step7 = 5040

Exp convolution right12 factorial step8 := mul(5040, 8)

Exp convolution right12 factorial step8 = 40320

Exp convolution denominator12 := mul(479001600, 40320)

Exp convolution denominator12 = 19313344512000

Exp convolution coefficient term12 := div(7355827511386641/18344818167985936, 19313344512000)

Exp convolution coefficient term12 = 68641485507/3306176509507097329664000

(21/22)^13

Exp convolution x power13 = 154472377739119461/282810057883082752

(-22/23)^7

Exp convolution y power7 = -2494357888/3404825447

Exp convolution numerator13 := mul(154472377739119461/282810057883082752, -2494357888/3404825447)

Exp convolution numerator13 = -154472377739119461/386038782317617088

Exp convolution left13 factorial step1 := mul(1, 1)

Exp convolution left13 factorial step1 = 1

Exp convolution left13 factorial step2 := mul(1, 2)

Exp convolution left13 factorial step2 = 2

Exp convolution left13 factorial step3 := mul(2, 3)

Exp convolution left13 factorial step3 = 6

Exp convolution left13 factorial step4 := mul(6, 4)

Exp convolution left13 factorial step4 = 24

Exp convolution left13 factorial step5 := mul(24, 5)

Exp convolution left13 factorial step5 = 120

Exp convolution left13 factorial step6 := mul(120, 6)

Exp convolution left13 factorial step6 = 720

Exp convolution left13 factorial step7 := mul(720, 7)

Exp convolution left13 factorial step7 = 5040

Exp convolution left13 factorial step8 := mul(5040, 8)

Exp convolution left13 factorial step8 = 40320

Exp convolution left13 factorial step9 := mul(40320, 9)

Exp convolution left13 factorial step9 = 362880

Exp convolution left13 factorial step10 := mul(362880, 10)

Exp convolution left13 factorial step10 = 3628800

Exp convolution left13 factorial step11 := mul(3628800, 11)

Exp convolution left13 factorial step11 = 39916800

Exp convolution left13 factorial step12 := mul(39916800, 12)

Exp convolution left13 factorial step12 = 479001600

Exp convolution left13 factorial step13 := mul(479001600, 13)

Exp convolution left13 factorial step13 = 6227020800

Exp convolution right13 factorial step1 := mul(1, 1)

Exp convolution right13 factorial step1 = 1

Exp convolution right13 factorial step2 := mul(1, 2)

Exp convolution right13 factorial step2 = 2

Exp convolution right13 factorial step3 := mul(2, 3)

Exp convolution right13 factorial step3 = 6

Exp convolution right13 factorial step4 := mul(6, 4)

Exp convolution right13 factorial step4 = 24

Exp convolution right13 factorial step5 := mul(24, 5)

Exp convolution right13 factorial step5 = 120

Exp convolution right13 factorial step6 := mul(120, 6)

Exp convolution right13 factorial step6 = 720

Exp convolution right13 factorial step7 := mul(720, 7)

Exp convolution right13 factorial step7 = 5040

Exp convolution denominator13 := mul(6227020800, 5040)

Exp convolution denominator13 = 31384184832000

Exp convolution coefficient term13 := div(-154472377739119461/386038782317617088, 31384184832000)

Exp convolution coefficient term13 = -1441471195647/113056861944666610860032000

(21/22)^14

Exp convolution x power14 = 3243919932521508681/6221821273427820544

(-22/23)^6

Exp convolution y power6 = 113379904/148035889

Exp convolution numerator14 := mul(3243919932521508681/6221821273427820544, 113379904/148035889)

Exp convolution numerator14 = 3243919932521508681/8123598723553333504

Exp convolution left14 factorial step1 := mul(1, 1)

Exp convolution left14 factorial step1 = 1

Exp convolution left14 factorial step2 := mul(1, 2)

Exp convolution left14 factorial step2 = 2

Exp convolution left14 factorial step3 := mul(2, 3)

Exp convolution left14 factorial step3 = 6

Exp convolution left14 factorial step4 := mul(6, 4)

Exp convolution left14 factorial step4 = 24

Exp convolution left14 factorial step5 := mul(24, 5)

Exp convolution left14 factorial step5 = 120

Exp convolution left14 factorial step6 := mul(120, 6)

Exp convolution left14 factorial step6 = 720

Exp convolution left14 factorial step7 := mul(720, 7)

Exp convolution left14 factorial step7 = 5040

Exp convolution left14 factorial step8 := mul(5040, 8)

Exp convolution left14 factorial step8 = 40320

Exp convolution left14 factorial step9 := mul(40320, 9)

Exp convolution left14 factorial step9 = 362880

Exp convolution left14 factorial step10 := mul(362880, 10)

Exp convolution left14 factorial step10 = 3628800

Exp convolution left14 factorial step11 := mul(3628800, 11)

Exp convolution left14 factorial step11 = 39916800

Exp convolution left14 factorial step12 := mul(39916800, 12)

Exp convolution left14 factorial step12 = 479001600

Exp convolution left14 factorial step13 := mul(479001600, 13)

Exp convolution left14 factorial step13 = 6227020800

Exp convolution left14 factorial step14 := mul(6227020800, 14)

Exp convolution left14 factorial step14 = 87178291200

Exp convolution right14 factorial step1 := mul(1, 1)

Exp convolution right14 factorial step1 = 1

Exp convolution right14 factorial step2 := mul(1, 2)

Exp convolution right14 factorial step2 = 2

Exp convolution right14 factorial step3 := mul(2, 3)

Exp convolution right14 factorial step3 = 6

Exp convolution right14 factorial step4 := mul(6, 4)

Exp convolution right14 factorial step4 = 24

Exp convolution right14 factorial step5 := mul(24, 5)

Exp convolution right14 factorial step5 = 120

Exp convolution right14 factorial step6 := mul(120, 6)

Exp convolution right14 factorial step6 = 720

Exp convolution denominator14 := mul(87178291200, 720)

Exp convolution denominator14 = 62768369664000

Exp convolution coefficient term14 := div(3243919932521508681/8123598723553333504, 62768369664000)

Exp convolution coefficient term14 = 30270895108587/4758219233149446926630912000

(21/22)^15

Exp convolution x power15 = 68122318582951682301/136880068015412051968

(-22/23)^5

Exp convolution y power5 = -5153632/6436343

Exp convolution numerator15 := mul(68122318582951682301/136880068015412051968, -5153632/6436343)

Exp convolution numerator15 = -68122318582951682301/170948773139122322432

Exp convolution left15 factorial step1 := mul(1, 1)

Exp convolution left15 factorial step1 = 1

Exp convolution left15 factorial step2 := mul(1, 2)

Exp convolution left15 factorial step2 = 2

Exp convolution left15 factorial step3 := mul(2, 3)

Exp convolution left15 factorial step3 = 6

Exp convolution left15 factorial step4 := mul(6, 4)

Exp convolution left15 factorial step4 = 24

Exp convolution left15 factorial step5 := mul(24, 5)

Exp convolution left15 factorial step5 = 120

Exp convolution left15 factorial step6 := mul(120, 6)

Exp convolution left15 factorial step6 = 720

Exp convolution left15 factorial step7 := mul(720, 7)

Exp convolution left15 factorial step7 = 5040

Exp convolution left15 factorial step8 := mul(5040, 8)

Exp convolution left15 factorial step8 = 40320

Exp convolution left15 factorial step9 := mul(40320, 9)

Exp convolution left15 factorial step9 = 362880

Exp convolution left15 factorial step10 := mul(362880, 10)

Exp convolution left15 factorial step10 = 3628800

Exp convolution left15 factorial step11 := mul(3628800, 11)

Exp convolution left15 factorial step11 = 39916800

Exp convolution left15 factorial step12 := mul(39916800, 12)

Exp convolution left15 factorial step12 = 479001600

Exp convolution left15 factorial step13 := mul(479001600, 13)

Exp convolution left15 factorial step13 = 6227020800

Exp convolution left15 factorial step14 := mul(6227020800, 14)

Exp convolution left15 factorial step14 = 87178291200

Exp convolution left15 factorial step15 := mul(87178291200, 15)

Exp convolution left15 factorial step15 = 1307674368000

Exp convolution right15 factorial step1 := mul(1, 1)

Exp convolution right15 factorial step1 = 1

Exp convolution right15 factorial step2 := mul(1, 2)

Exp convolution right15 factorial step2 = 2

Exp convolution right15 factorial step3 := mul(2, 3)

Exp convolution right15 factorial step3 = 6

Exp convolution right15 factorial step4 := mul(6, 4)

Exp convolution right15 factorial step4 = 24

Exp convolution right15 factorial step5 := mul(24, 5)

Exp convolution right15 factorial step5 = 120

Exp convolution denominator15 := mul(1307674368000, 120)

Exp convolution denominator15 = 156920924160000

Exp convolution coefficient term15 := div(-68122318582951682301/170948773139122322432, 156920924160000)

Exp convolution coefficient term15 = -635688797280327/250323707483079599183626240000

(21/22)^16

Exp convolution x power16 = 1430568690241985328321/3011361496339065143296

(-22/23)^4

Exp convolution y power4 = 234256/279841

Exp convolution numerator16 := mul(1430568690241985328321/3011361496339065143296, 234256/279841)

Exp convolution numerator16 = 1430568690241985328321/3597356791275443654656

Exp convolution left16 factorial step1 := mul(1, 1)

Exp convolution left16 factorial step1 = 1

Exp convolution left16 factorial step2 := mul(1, 2)

Exp convolution left16 factorial step2 = 2

Exp convolution left16 factorial step3 := mul(2, 3)

Exp convolution left16 factorial step3 = 6

Exp convolution left16 factorial step4 := mul(6, 4)

Exp convolution left16 factorial step4 = 24

Exp convolution left16 factorial step5 := mul(24, 5)

Exp convolution left16 factorial step5 = 120

Exp convolution left16 factorial step6 := mul(120, 6)

Exp convolution left16 factorial step6 = 720

Exp convolution left16 factorial step7 := mul(720, 7)

Exp convolution left16 factorial step7 = 5040

Exp convolution left16 factorial step8 := mul(5040, 8)

Exp convolution left16 factorial step8 = 40320

Exp convolution left16 factorial step9 := mul(40320, 9)

Exp convolution left16 factorial step9 = 362880

Exp convolution left16 factorial step10 := mul(362880, 10)

Exp convolution left16 factorial step10 = 3628800

Exp convolution left16 factorial step11 := mul(3628800, 11)

Exp convolution left16 factorial step11 = 39916800

Exp convolution left16 factorial step12 := mul(39916800, 12)

Exp convolution left16 factorial step12 = 479001600

Exp convolution left16 factorial step13 := mul(479001600, 13)

Exp convolution left16 factorial step13 = 6227020800

Exp convolution left16 factorial step14 := mul(6227020800, 14)

Exp convolution left16 factorial step14 = 87178291200

Exp convolution left16 factorial step15 := mul(87178291200, 15)

Exp convolution left16 factorial step15 = 1307674368000

Exp convolution left16 factorial step16 := mul(1307674368000, 16)

Exp convolution left16 factorial step16 = 20922789888000

Exp convolution right16 factorial step1 := mul(1, 1)

Exp convolution right16 factorial step1 = 1

Exp convolution right16 factorial step2 := mul(1, 2)

Exp convolution right16 factorial step2 = 2

Exp convolution right16 factorial step3 := mul(2, 3)

Exp convolution right16 factorial step3 = 6

Exp convolution right16 factorial step4 := mul(6, 4)

Exp convolution right16 factorial step4 = 24

Exp convolution denominator16 := mul(20922789888000, 24)

Exp convolution denominator16 = 502146957312000

Exp convolution coefficient term16 := div(1430568690241985328321/3597356791275443654656, 502146957312000)

Exp convolution coefficient term16 = 13349464742886867/16856580789121464487634796544000

(21/22)^17

Exp convolution x power17 = 30041942495081691894741/66249952919459433152512

(-22/23)^3

Exp convolution y power3 = -10648/12167

Exp convolution numerator17 := mul(30041942495081691894741/66249952919459433152512, -10648/12167)

Exp convolution numerator17 = -30041942495081691894741/75700899433796292558848

Exp convolution left17 factorial step1 := mul(1, 1)

Exp convolution left17 factorial step1 = 1

Exp convolution left17 factorial step2 := mul(1, 2)

Exp convolution left17 factorial step2 = 2

Exp convolution left17 factorial step3 := mul(2, 3)

Exp convolution left17 factorial step3 = 6

Exp convolution left17 factorial step4 := mul(6, 4)

Exp convolution left17 factorial step4 = 24

Exp convolution left17 factorial step5 := mul(24, 5)

Exp convolution left17 factorial step5 = 120

Exp convolution left17 factorial step6 := mul(120, 6)

Exp convolution left17 factorial step6 = 720

Exp convolution left17 factorial step7 := mul(720, 7)

Exp convolution left17 factorial step7 = 5040

Exp convolution left17 factorial step8 := mul(5040, 8)

Exp convolution left17 factorial step8 = 40320

Exp convolution left17 factorial step9 := mul(40320, 9)

Exp convolution left17 factorial step9 = 362880

Exp convolution left17 factorial step10 := mul(362880, 10)

Exp convolution left17 factorial step10 = 3628800

Exp convolution left17 factorial step11 := mul(3628800, 11)

Exp convolution left17 factorial step11 = 39916800

Exp convolution left17 factorial step12 := mul(39916800, 12)

Exp convolution left17 factorial step12 = 479001600

Exp convolution left17 factorial step13 := mul(479001600, 13)

Exp convolution left17 factorial step13 = 6227020800

Exp convolution left17 factorial step14 := mul(6227020800, 14)

Exp convolution left17 factorial step14 = 87178291200

Exp convolution left17 factorial step15 := mul(87178291200, 15)

Exp convolution left17 factorial step15 = 1307674368000

Exp convolution left17 factorial step16 := mul(1307674368000, 16)

Exp convolution left17 factorial step16 = 20922789888000

Exp convolution left17 factorial step17 := mul(20922789888000, 17)

Exp convolution left17 factorial step17 = 355687428096000

Exp convolution right17 factorial step1 := mul(1, 1)

Exp convolution right17 factorial step1 = 1

Exp convolution right17 factorial step2 := mul(1, 2)

Exp convolution right17 factorial step2 = 2

Exp convolution right17 factorial step3 := mul(2, 3)

Exp convolution right17 factorial step3 = 6

Exp convolution denominator17 := mul(355687428096000, 6)

Exp convolution denominator17 = 2134124568576000

Exp convolution coefficient term17 := div(-30041942495081691894741/75700899433796292558848, 2134124568576000)

Exp convolution coefficient term17 = -280338759600624207/1507564638400993584828903325696000

(21/22)^18

Exp convolution x power18 = 630880792396715529789561/1457498964228107529355264

(-22/23)^2

Exp convolution y power2 = 484/529

Exp convolution numerator18 := mul(630880792396715529789561/1457498964228107529355264, 484/529)

Exp convolution numerator18 = 630880792396715529789561/1593010231563365460803584

Exp convolution left18 factorial step1 := mul(1, 1)

Exp convolution left18 factorial step1 = 1

Exp convolution left18 factorial step2 := mul(1, 2)

Exp convolution left18 factorial step2 = 2

Exp convolution left18 factorial step3 := mul(2, 3)

Exp convolution left18 factorial step3 = 6

Exp convolution left18 factorial step4 := mul(6, 4)

Exp convolution left18 factorial step4 = 24

Exp convolution left18 factorial step5 := mul(24, 5)

Exp convolution left18 factorial step5 = 120

Exp convolution left18 factorial step6 := mul(120, 6)

Exp convolution left18 factorial step6 = 720

Exp convolution left18 factorial step7 := mul(720, 7)

Exp convolution left18 factorial step7 = 5040

Exp convolution left18 factorial step8 := mul(5040, 8)

Exp convolution left18 factorial step8 = 40320

Exp convolution left18 factorial step9 := mul(40320, 9)

Exp convolution left18 factorial step9 = 362880

Exp convolution left18 factorial step10 := mul(362880, 10)

Exp convolution left18 factorial step10 = 3628800

Exp convolution left18 factorial step11 := mul(3628800, 11)

Exp convolution left18 factorial step11 = 39916800

Exp convolution left18 factorial step12 := mul(39916800, 12)

Exp convolution left18 factorial step12 = 479001600

Exp convolution left18 factorial step13 := mul(479001600, 13)

Exp convolution left18 factorial step13 = 6227020800

Exp convolution left18 factorial step14 := mul(6227020800, 14)

Exp convolution left18 factorial step14 = 87178291200

Exp convolution left18 factorial step15 := mul(87178291200, 15)

Exp convolution left18 factorial step15 = 1307674368000

Exp convolution left18 factorial step16 := mul(1307674368000, 16)

Exp convolution left18 factorial step16 = 20922789888000

Exp convolution left18 factorial step17 := mul(20922789888000, 17)

Exp convolution left18 factorial step17 = 355687428096000

Exp convolution left18 factorial step18 := mul(355687428096000, 18)

Exp convolution left18 factorial step18 = 6402373705728000

Exp convolution right18 factorial step1 := mul(1, 1)

Exp convolution right18 factorial step1 = 1

Exp convolution right18 factorial step2 := mul(1, 2)

Exp convolution right18 factorial step2 = 2

Exp convolution denominator18 := mul(6402373705728000, 2)

Exp convolution denominator18 = 12804747411456000

Exp convolution coefficient term18 := div(630880792396715529789561/1593010231563365460803584, 12804747411456000)

Exp convolution coefficient term18 = 1962371317204369449/63448807390093990874538192142336000

(21/22)^19

Exp convolution x power19 = 13248496640331026125580781/32064977213018365645815808

(-22/23)^1

Exp convolution y power1 = -22/23

Exp convolution numerator19 := mul(13248496640331026125580781/32064977213018365645815808, -22/23)

Exp convolution numerator19 = -13248496640331026125580781/33522476177246473175171072

Exp convolution left19 factorial step1 := mul(1, 1)

Exp convolution left19 factorial step1 = 1

Exp convolution left19 factorial step2 := mul(1, 2)

Exp convolution left19 factorial step2 = 2

Exp convolution left19 factorial step3 := mul(2, 3)

Exp convolution left19 factorial step3 = 6

Exp convolution left19 factorial step4 := mul(6, 4)

Exp convolution left19 factorial step4 = 24

Exp convolution left19 factorial step5 := mul(24, 5)

Exp convolution left19 factorial step5 = 120

Exp convolution left19 factorial step6 := mul(120, 6)

Exp convolution left19 factorial step6 = 720

Exp convolution left19 factorial step7 := mul(720, 7)

Exp convolution left19 factorial step7 = 5040

Exp convolution left19 factorial step8 := mul(5040, 8)

Exp convolution left19 factorial step8 = 40320

Exp convolution left19 factorial step9 := mul(40320, 9)

Exp convolution left19 factorial step9 = 362880

Exp convolution left19 factorial step10 := mul(362880, 10)

Exp convolution left19 factorial step10 = 3628800

Exp convolution left19 factorial step11 := mul(3628800, 11)

Exp convolution left19 factorial step11 = 39916800

Exp convolution left19 factorial step12 := mul(39916800, 12)

Exp convolution left19 factorial step12 = 479001600

Exp convolution left19 factorial step13 := mul(479001600, 13)

Exp convolution left19 factorial step13 = 6227020800

Exp convolution left19 factorial step14 := mul(6227020800, 14)

Exp convolution left19 factorial step14 = 87178291200

Exp convolution left19 factorial step15 := mul(87178291200, 15)

Exp convolution left19 factorial step15 = 1307674368000

Exp convolution left19 factorial step16 := mul(1307674368000, 16)

Exp convolution left19 factorial step16 = 20922789888000

Exp convolution left19 factorial step17 := mul(20922789888000, 17)

Exp convolution left19 factorial step17 = 355687428096000

Exp convolution left19 factorial step18 := mul(355687428096000, 18)

Exp convolution left19 factorial step18 = 6402373705728000

Exp convolution left19 factorial step19 := mul(6402373705728000, 19)

Exp convolution left19 factorial step19 = 121645100408832000

Exp convolution right19 factorial step1 := mul(1, 1)

Exp convolution right19 factorial step1 = 1

Exp convolution denominator19 := mul(121645100408832000, 1)

Exp convolution denominator19 = 121645100408832000

Exp convolution coefficient term19 := div(-13248496640331026125580781/33522476177246473175171072, 121645100408832000)

Exp convolution coefficient term19 = -41209797661291758429/12684244190419659567005504672628736000

(21/22)^20

Exp convolution x power20 = 278218429446951548637196401/705429498686404044207947776

(-22/23)^0

Exp convolution y power0 = 1

Exp convolution numerator20 := mul(278218429446951548637196401/705429498686404044207947776, 1)

Exp convolution numerator20 = 278218429446951548637196401/705429498686404044207947776

Exp convolution left20 factorial step1 := mul(1, 1)

Exp convolution left20 factorial step1 = 1

Exp convolution left20 factorial step2 := mul(1, 2)

Exp convolution left20 factorial step2 = 2

Exp convolution left20 factorial step3 := mul(2, 3)

Exp convolution left20 factorial step3 = 6

Exp convolution left20 factorial step4 := mul(6, 4)

Exp convolution left20 factorial step4 = 24

Exp convolution left20 factorial step5 := mul(24, 5)

Exp convolution left20 factorial step5 = 120

Exp convolution left20 factorial step6 := mul(120, 6)

Exp convolution left20 factorial step6 = 720

Exp convolution left20 factorial step7 := mul(720, 7)

Exp convolution left20 factorial step7 = 5040

Exp convolution left20 factorial step8 := mul(5040, 8)

Exp convolution left20 factorial step8 = 40320

Exp convolution left20 factorial step9 := mul(40320, 9)

Exp convolution left20 factorial step9 = 362880

Exp convolution left20 factorial step10 := mul(362880, 10)

Exp convolution left20 factorial step10 = 3628800

Exp convolution left20 factorial step11 := mul(3628800, 11)

Exp convolution left20 factorial step11 = 39916800

Exp convolution left20 factorial step12 := mul(39916800, 12)

Exp convolution left20 factorial step12 = 479001600

Exp convolution left20 factorial step13 := mul(479001600, 13)

Exp convolution left20 factorial step13 = 6227020800

Exp convolution left20 factorial step14 := mul(6227020800, 14)

Exp convolution left20 factorial step14 = 87178291200

Exp convolution left20 factorial step15 := mul(87178291200, 15)

Exp convolution left20 factorial step15 = 1307674368000

Exp convolution left20 factorial step16 := mul(1307674368000, 16)

Exp convolution left20 factorial step16 = 20922789888000

Exp convolution left20 factorial step17 := mul(20922789888000, 17)

Exp convolution left20 factorial step17 = 355687428096000

Exp convolution left20 factorial step18 := mul(355687428096000, 18)

Exp convolution left20 factorial step18 = 6402373705728000

Exp convolution left20 factorial step19 := mul(6402373705728000, 19)

Exp convolution left20 factorial step19 = 121645100408832000

Exp convolution left20 factorial step20 := mul(121645100408832000, 20)

Exp convolution left20 factorial step20 = 2432902008176640000

source roles = [0]

derived = [1]

Exp convolution denominator20 := mul(2432902008176640000, 1)

Exp convolution denominator20 = 2432902008176640000

Exp convolution coefficient term20 := div(278218429446951548637196401/705429498686404044207947776, 2432902008176640000)

Exp convolution coefficient term20 = 865405750887126927009/5338412337533143678635360227436789760000

Exp complete declared-degree convolution := sum(244636361793658185164/1447933879643515222582682716129837194375, -2021788113997175084/599558542295451437922435907300139625, 4177248169415651/130665477235578388999114287305250, -241658985007517/1262468379087713903373084901500, 13980271859939/17220370047232244206282488000, -808776058013/311963225493337757360190000, 46788697571/7233929866512179880816000, -2706784157/209679126565570431328000, 469772457/22440575418388808704000, -27176919/975677192103861248000, 51883209/1696829899311063040000, -1089547389/39277923408400433152000, 68641485507/3306176509507097329664000, -1441471195647/113056861944666610860032000, 30270895108587/4758219233149446926630912000, -635688797280327/250323707483079599183626240000, 13349464742886867/16856580789121464487634796544000, -280338759600624207/1507564638400993584828903325696000, 1962371317204369449/63448807390093990874538192142336000, -41209797661291758429/12684244190419659567005504672628736000, 865405750887126927009/5338412337533143678635360227436789760000)

Exp complete declared-degree convolution = 1/2945336732372916073844860985203962504337568772809813725658735066480640000

Exp ORIGINAL arguments sum := sum(21/22, -22/23)

Exp ORIGINAL arguments sum = -1/506

(-1/506)^20

Exp sum argument declared power = 1/1210626947766106217045572015091629890089590188305022976

Exp sum argument factorial step1 := mul(1, 1)

Exp sum argument factorial step1 = 1

Exp sum argument factorial step2 := mul(1, 2)

Exp sum argument factorial step2 = 2

Exp sum argument factorial step3 := mul(2, 3)

Exp sum argument factorial step3 = 6

Exp sum argument factorial step4 := mul(6, 4)

Exp sum argument factorial step4 = 24

Exp sum argument factorial step5 := mul(24, 5)

Exp sum argument factorial step5 = 120

Exp sum argument factorial step6 := mul(120, 6)

Exp sum argument factorial step6 = 720

Exp sum argument factorial step7 := mul(720, 7)

Exp sum argument factorial step7 = 5040

Exp sum argument factorial step8 := mul(5040, 8)

Exp sum argument factorial step8 = 40320

Exp sum argument factorial step9 := mul(40320, 9)

Exp sum argument factorial step9 = 362880

Exp sum argument factorial step10 := mul(362880, 10)

Exp sum argument factorial step10 = 3628800

Exp sum argument factorial step11 := mul(3628800, 11)

Exp sum argument factorial step11 = 39916800

Exp sum argument factorial step12 := mul(39916800, 12)

Exp sum argument factorial step12 = 479001600

Exp sum argument factorial step13 := mul(479001600, 13)

Exp sum argument factorial step13 = 6227020800

Exp sum argument factorial step14 := mul(6227020800, 14)

Exp sum argument factorial step14 = 87178291200

Exp sum argument factorial step15 := mul(87178291200, 15)

Exp sum argument factorial step15 = 1307674368000

Exp sum argument factorial step16 := mul(1307674368000, 16)

Exp sum argument factorial step16 = 20922789888000

Exp sum argument factorial step17 := mul(20922789888000, 17)

Exp sum argument factorial step17 = 355687428096000

Exp sum argument factorial step18 := mul(355687428096000, 18)

Exp sum argument factorial step18 = 6402373705728000

Exp sum argument factorial step19 := mul(6402373705728000, 19)

Exp sum argument factorial step19 = 121645100408832000

Exp sum argument factorial step20 := mul(121645100408832000, 20)

Exp sum argument factorial step20 = 2432902008176640000

Exp sum argument coefficient := div(1/1210626947766106217045572015091629890089590188305022976, 2432902008176640000)

Exp sum argument coefficient = 1/2945336732372916073844860985203962504337568772809813725658735066480640000

source roles = [[21/22, -22/23], a_n=1/n! for EVERY n>=0]

derived = [coefficient ratio=1/(n+1), for EVERY fixed real z,term absolute ratio=|z|/(n+1)->0, absolute convergence and real-valued E(z)]

source roles = [[21/22, -22/23, 20], E(x),E(y) absolutely convergent]

derived = [for EVERY n,sum_k x^k*y^(n-k)/(k!*(n-k)!)=(x+y)^n/n!, E(x)E(y)=E(x+y)]

Reverse checks

• S554 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S553 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S552 · premise_and_result_audit — Recompute Exp sum argument coefficient with exact rational arithmetic, not rounded decimals.
• S551 · premise_and_result_audit — Recompute Exp sum argument factorial step20 with exact rational arithmetic, not rounded decimals.
• S550 · premise_and_result_audit — Recompute Exp sum argument factorial step19 with exact rational arithmetic, not rounded decimals.
• S549 · premise_and_result_audit — Recompute Exp sum argument factorial step18 with exact rational arithmetic, not rounded decimals.
• S548 · premise_and_result_audit — Recompute Exp sum argument factorial step17 with exact rational arithmetic, not rounded decimals.
• S547 · premise_and_result_audit — Recompute Exp sum argument factorial step16 with exact rational arithmetic, not rounded decimals.
• S546 · premise_and_result_audit — Recompute Exp sum argument factorial step15 with exact rational arithmetic, not rounded decimals.
• S545 · premise_and_result_audit — Recompute Exp sum argument factorial step14 with exact rational arithmetic, not rounded decimals.
• S544 · premise_and_result_audit — Recompute Exp sum argument factorial step13 with exact rational arithmetic, not rounded decimals.
• S543 · premise_and_result_audit — Recompute Exp sum argument factorial step12 with exact rational arithmetic, not rounded decimals.
• S542 · premise_and_result_audit — Recompute Exp sum argument factorial step11 with exact rational arithmetic, not rounded decimals.
• S541 · premise_and_result_audit — Recompute Exp sum argument factorial step10 with exact rational arithmetic, not rounded decimals.
• S540 · premise_and_result_audit — Recompute Exp sum argument factorial step9 with exact rational arithmetic, not rounded decimals.
• S539 · premise_and_result_audit — Recompute Exp sum argument factorial step8 with exact rational arithmetic, not rounded decimals.
• S538 · premise_and_result_audit — Recompute Exp sum argument factorial step7 with exact rational arithmetic, not rounded decimals.
• S537 · premise_and_result_audit — Recompute Exp sum argument factorial step6 with exact rational arithmetic, not rounded decimals.
• S536 · premise_and_result_audit — Recompute Exp sum argument factorial step5 with exact rational arithmetic, not rounded decimals.
• S535 · premise_and_result_audit — Recompute Exp sum argument factorial step4 with exact rational arithmetic, not rounded decimals.
• S534 · premise_and_result_audit — Recompute Exp sum argument factorial step3 with exact rational arithmetic, not rounded decimals.
• S533 · premise_and_result_audit — Recompute Exp sum argument factorial step2 with exact rational arithmetic, not rounded decimals.
• S532 · premise_and_result_audit — Recompute Exp sum argument factorial step1 with exact rational arithmetic, not rounded decimals.
• S531 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S530 · premise_and_result_audit — Recompute Exp ORIGINAL arguments sum with exact rational arithmetic, not rounded decimals.
• S529 · premise_and_result_audit — Recompute Exp complete declared-degree convolution with exact rational arithmetic, not rounded decimals.
• S528 · premise_and_result_audit — Recompute Exp convolution coefficient term20 with exact rational arithmetic, not rounded decimals.
• S527 · premise_and_result_audit — Recompute Exp convolution denominator20 with exact rational arithmetic, not rounded decimals.
• S526 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S525 · premise_and_result_audit — Recompute Exp convolution left20 factorial step20 with exact rational arithmetic, not rounded decimals.
• S524 · premise_and_result_audit — Recompute Exp convolution left20 factorial step19 with exact rational arithmetic, not rounded decimals.
• S523 · premise_and_result_audit — Recompute Exp convolution left20 factorial step18 with exact rational arithmetic, not rounded decimals.
• S522 · premise_and_result_audit — Recompute Exp convolution left20 factorial step17 with exact rational arithmetic, not rounded decimals.
• S521 · premise_and_result_audit — Recompute Exp convolution left20 factorial step16 with exact rational arithmetic, not rounded decimals.
• S520 · premise_and_result_audit — Recompute Exp convolution left20 factorial step15 with exact rational arithmetic, not rounded decimals.
• S519 · premise_and_result_audit — Recompute Exp convolution left20 factorial step14 with exact rational arithmetic, not rounded decimals.
• S518 · premise_and_result_audit — Recompute Exp convolution left20 factorial step13 with exact rational arithmetic, not rounded decimals.
• S517 · premise_and_result_audit — Recompute Exp convolution left20 factorial step12 with exact rational arithmetic, not rounded decimals.
• S516 · premise_and_result_audit — Recompute Exp convolution left20 factorial step11 with exact rational arithmetic, not rounded decimals.
• S515 · premise_and_result_audit — Recompute Exp convolution left20 factorial step10 with exact rational arithmetic, not rounded decimals.
• S514 · premise_and_result_audit — Recompute Exp convolution left20 factorial step9 with exact rational arithmetic, not rounded decimals.
• S513 · premise_and_result_audit — Recompute Exp convolution left20 factorial step8 with exact rational arithmetic, not rounded decimals.
• S512 · premise_and_result_audit — Recompute Exp convolution left20 factorial step7 with exact rational arithmetic, not rounded decimals.
• S511 · premise_and_result_audit — Recompute Exp convolution left20 factorial step6 with exact rational arithmetic, not rounded decimals.
• S510 · premise_and_result_audit — Recompute Exp convolution left20 factorial step5 with exact rational arithmetic, not rounded decimals.
• S509 · premise_and_result_audit — Recompute Exp convolution left20 factorial step4 with exact rational arithmetic, not rounded decimals.
• S508 · premise_and_result_audit — Recompute Exp convolution left20 factorial step3 with exact rational arithmetic, not rounded decimals.
• S507 · premise_and_result_audit — Recompute Exp convolution left20 factorial step2 with exact rational arithmetic, not rounded decimals.
• S506 · premise_and_result_audit — Recompute Exp convolution left20 factorial step1 with exact rational arithmetic, not rounded decimals.
• S505 · premise_and_result_audit — Recompute Exp convolution numerator20 with exact rational arithmetic, not rounded decimals.
• S504 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S503 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S502 · premise_and_result_audit — Recompute Exp convolution coefficient term19 with exact rational arithmetic, not rounded decimals.
• S501 · premise_and_result_audit — Recompute Exp convolution denominator19 with exact rational arithmetic, not rounded decimals.
• S500 · premise_and_result_audit — Recompute Exp convolution right19 factorial step1 with exact rational arithmetic, not rounded decimals.
• S499 · premise_and_result_audit — Recompute Exp convolution left19 factorial step19 with exact rational arithmetic, not rounded decimals.
• S498 · premise_and_result_audit — Recompute Exp convolution left19 factorial step18 with exact rational arithmetic, not rounded decimals.
• S497 · premise_and_result_audit — Recompute Exp convolution left19 factorial step17 with exact rational arithmetic, not rounded decimals.
• S496 · premise_and_result_audit — Recompute Exp convolution left19 factorial step16 with exact rational arithmetic, not rounded decimals.
• S495 · premise_and_result_audit — Recompute Exp convolution left19 factorial step15 with exact rational arithmetic, not rounded decimals.
• S494 · premise_and_result_audit — Recompute Exp convolution left19 factorial step14 with exact rational arithmetic, not rounded decimals.
• S493 · premise_and_result_audit — Recompute Exp convolution left19 factorial step13 with exact rational arithmetic, not rounded decimals.
• S492 · premise_and_result_audit — Recompute Exp convolution left19 factorial step12 with exact rational arithmetic, not rounded decimals.
• S491 · premise_and_result_audit — Recompute Exp convolution left19 factorial step11 with exact rational arithmetic, not rounded decimals.
• S490 · premise_and_result_audit — Recompute Exp convolution left19 factorial step10 with exact rational arithmetic, not rounded decimals.
• S489 · premise_and_result_audit — Recompute Exp convolution left19 factorial step9 with exact rational arithmetic, not rounded decimals.
• S488 · premise_and_result_audit — Recompute Exp convolution left19 factorial step8 with exact rational arithmetic, not rounded decimals.
• S487 · premise_and_result_audit — Recompute Exp convolution left19 factorial step7 with exact rational arithmetic, not rounded decimals.
• S486 · premise_and_result_audit — Recompute Exp convolution left19 factorial step6 with exact rational arithmetic, not rounded decimals.
• S485 · premise_and_result_audit — Recompute Exp convolution left19 factorial step5 with exact rational arithmetic, not rounded decimals.
• S484 · premise_and_result_audit — Recompute Exp convolution left19 factorial step4 with exact rational arithmetic, not rounded decimals.
• S483 · premise_and_result_audit — Recompute Exp convolution left19 factorial step3 with exact rational arithmetic, not rounded decimals.
• S482 · premise_and_result_audit — Recompute Exp convolution left19 factorial step2 with exact rational arithmetic, not rounded decimals.
• S481 · premise_and_result_audit — Recompute Exp convolution left19 factorial step1 with exact rational arithmetic, not rounded decimals.
• S480 · premise_and_result_audit — Recompute Exp convolution numerator19 with exact rational arithmetic, not rounded decimals.
• S479 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S478 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S477 · premise_and_result_audit — Recompute Exp convolution coefficient term18 with exact rational arithmetic, not rounded decimals.
• S476 · premise_and_result_audit — Recompute Exp convolution denominator18 with exact rational arithmetic, not rounded decimals.
• S475 · premise_and_result_audit — Recompute Exp convolution right18 factorial step2 with exact rational arithmetic, not rounded decimals.
• S474 · premise_and_result_audit — Recompute Exp convolution right18 factorial step1 with exact rational arithmetic, not rounded decimals.
• S473 · premise_and_result_audit — Recompute Exp convolution left18 factorial step18 with exact rational arithmetic, not rounded decimals.
• S472 · premise_and_result_audit — Recompute Exp convolution left18 factorial step17 with exact rational arithmetic, not rounded decimals.
• S471 · premise_and_result_audit — Recompute Exp convolution left18 factorial step16 with exact rational arithmetic, not rounded decimals.
• S470 · premise_and_result_audit — Recompute Exp convolution left18 factorial step15 with exact rational arithmetic, not rounded decimals.
• S469 · premise_and_result_audit — Recompute Exp convolution left18 factorial step14 with exact rational arithmetic, not rounded decimals.
• S468 · premise_and_result_audit — Recompute Exp convolution left18 factorial step13 with exact rational arithmetic, not rounded decimals.
• S467 · premise_and_result_audit — Recompute Exp convolution left18 factorial step12 with exact rational arithmetic, not rounded decimals.
• S466 · premise_and_result_audit — Recompute Exp convolution left18 factorial step11 with exact rational arithmetic, not rounded decimals.
• S465 · premise_and_result_audit — Recompute Exp convolution left18 factorial step10 with exact rational arithmetic, not rounded decimals.
• S464 · premise_and_result_audit — Recompute Exp convolution left18 factorial step9 with exact rational arithmetic, not rounded decimals.
• S463 · premise_and_result_audit — Recompute Exp convolution left18 factorial step8 with exact rational arithmetic, not rounded decimals.
• S462 · premise_and_result_audit — Recompute Exp convolution left18 factorial step7 with exact rational arithmetic, not rounded decimals.
• S461 · premise_and_result_audit — Recompute Exp convolution left18 factorial step6 with exact rational arithmetic, not rounded decimals.
• S460 · premise_and_result_audit — Recompute Exp convolution left18 factorial step5 with exact rational arithmetic, not rounded decimals.
• S459 · premise_and_result_audit — Recompute Exp convolution left18 factorial step4 with exact rational arithmetic, not rounded decimals.
• S458 · premise_and_result_audit — Recompute Exp convolution left18 factorial step3 with exact rational arithmetic, not rounded decimals.
• S457 · premise_and_result_audit — Recompute Exp convolution left18 factorial step2 with exact rational arithmetic, not rounded decimals.
• S456 · premise_and_result_audit — Recompute Exp convolution left18 factorial step1 with exact rational arithmetic, not rounded decimals.
• S455 · premise_and_result_audit — Recompute Exp convolution numerator18 with exact rational arithmetic, not rounded decimals.
• S454 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S453 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S452 · premise_and_result_audit — Recompute Exp convolution coefficient term17 with exact rational arithmetic, not rounded decimals.
• S451 · premise_and_result_audit — Recompute Exp convolution denominator17 with exact rational arithmetic, not rounded decimals.
• S450 · premise_and_result_audit — Recompute Exp convolution right17 factorial step3 with exact rational arithmetic, not rounded decimals.
• S449 · premise_and_result_audit — Recompute Exp convolution right17 factorial step2 with exact rational arithmetic, not rounded decimals.
• S448 · premise_and_result_audit — Recompute Exp convolution right17 factorial step1 with exact rational arithmetic, not rounded decimals.
• S447 · premise_and_result_audit — Recompute Exp convolution left17 factorial step17 with exact rational arithmetic, not rounded decimals.
• S446 · premise_and_result_audit — Recompute Exp convolution left17 factorial step16 with exact rational arithmetic, not rounded decimals.
• S445 · premise_and_result_audit — Recompute Exp convolution left17 factorial step15 with exact rational arithmetic, not rounded decimals.
• S444 · premise_and_result_audit — Recompute Exp convolution left17 factorial step14 with exact rational arithmetic, not rounded decimals.
• S443 · premise_and_result_audit — Recompute Exp convolution left17 factorial step13 with exact rational arithmetic, not rounded decimals.
• S442 · premise_and_result_audit — Recompute Exp convolution left17 factorial step12 with exact rational arithmetic, not rounded decimals.
• S441 · premise_and_result_audit — Recompute Exp convolution left17 factorial step11 with exact rational arithmetic, not rounded decimals.
• S440 · premise_and_result_audit — Recompute Exp convolution left17 factorial step10 with exact rational arithmetic, not rounded decimals.
• S439 · premise_and_result_audit — Recompute Exp convolution left17 factorial step9 with exact rational arithmetic, not rounded decimals.
• S438 · premise_and_result_audit — Recompute Exp convolution left17 factorial step8 with exact rational arithmetic, not rounded decimals.
• S437 · premise_and_result_audit — Recompute Exp convolution left17 factorial step7 with exact rational arithmetic, not rounded decimals.
• S436 · premise_and_result_audit — Recompute Exp convolution left17 factorial step6 with exact rational arithmetic, not rounded decimals.
• S435 · premise_and_result_audit — Recompute Exp convolution left17 factorial step5 with exact rational arithmetic, not rounded decimals.
• S434 · premise_and_result_audit — Recompute Exp convolution left17 factorial step4 with exact rational arithmetic, not rounded decimals.
• S433 · premise_and_result_audit — Recompute Exp convolution left17 factorial step3 with exact rational arithmetic, not rounded decimals.
• S432 · premise_and_result_audit — Recompute Exp convolution left17 factorial step2 with exact rational arithmetic, not rounded decimals.
• S431 · premise_and_result_audit — Recompute Exp convolution left17 factorial step1 with exact rational arithmetic, not rounded decimals.
• S430 · premise_and_result_audit — Recompute Exp convolution numerator17 with exact rational arithmetic, not rounded decimals.
• S429 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S428 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S427 · premise_and_result_audit — Recompute Exp convolution coefficient term16 with exact rational arithmetic, not rounded decimals.
• S426 · premise_and_result_audit — Recompute Exp convolution denominator16 with exact rational arithmetic, not rounded decimals.
• S425 · premise_and_result_audit — Recompute Exp convolution right16 factorial step4 with exact rational arithmetic, not rounded decimals.
• S424 · premise_and_result_audit — Recompute Exp convolution right16 factorial step3 with exact rational arithmetic, not rounded decimals.
• S423 · premise_and_result_audit — Recompute Exp convolution right16 factorial step2 with exact rational arithmetic, not rounded decimals.
• S422 · premise_and_result_audit — Recompute Exp convolution right16 factorial step1 with exact rational arithmetic, not rounded decimals.
• S421 · premise_and_result_audit — Recompute Exp convolution left16 factorial step16 with exact rational arithmetic, not rounded decimals.
• S420 · premise_and_result_audit — Recompute Exp convolution left16 factorial step15 with exact rational arithmetic, not rounded decimals.
• S419 · premise_and_result_audit — Recompute Exp convolution left16 factorial step14 with exact rational arithmetic, not rounded decimals.
• S418 · premise_and_result_audit — Recompute Exp convolution left16 factorial step13 with exact rational arithmetic, not rounded decimals.
• S417 · premise_and_result_audit — Recompute Exp convolution left16 factorial step12 with exact rational arithmetic, not rounded decimals.
• S416 · premise_and_result_audit — Recompute Exp convolution left16 factorial step11 with exact rational arithmetic, not rounded decimals.
• S415 · premise_and_result_audit — Recompute Exp convolution left16 factorial step10 with exact rational arithmetic, not rounded decimals.
• S414 · premise_and_result_audit — Recompute Exp convolution left16 factorial step9 with exact rational arithmetic, not rounded decimals.
• S413 · premise_and_result_audit — Recompute Exp convolution left16 factorial step8 with exact rational arithmetic, not rounded decimals.
• S412 · premise_and_result_audit — Recompute Exp convolution left16 factorial step7 with exact rational arithmetic, not rounded decimals.
• S411 · premise_and_result_audit — Recompute Exp convolution left16 factorial step6 with exact rational arithmetic, not rounded decimals.
• S410 · premise_and_result_audit — Recompute Exp convolution left16 factorial step5 with exact rational arithmetic, not rounded decimals.
• S409 · premise_and_result_audit — Recompute Exp convolution left16 factorial step4 with exact rational arithmetic, not rounded decimals.
• S408 · premise_and_result_audit — Recompute Exp convolution left16 factorial step3 with exact rational arithmetic, not rounded decimals.
• S407 · premise_and_result_audit — Recompute Exp convolution left16 factorial step2 with exact rational arithmetic, not rounded decimals.
• S406 · premise_and_result_audit — Recompute Exp convolution left16 factorial step1 with exact rational arithmetic, not rounded decimals.
• S405 · premise_and_result_audit — Recompute Exp convolution numerator16 with exact rational arithmetic, not rounded decimals.
• S404 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S403 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S402 · premise_and_result_audit — Recompute Exp convolution coefficient term15 with exact rational arithmetic, not rounded decimals.
• S401 · premise_and_result_audit — Recompute Exp convolution denominator15 with exact rational arithmetic, not rounded decimals.
• S400 · premise_and_result_audit — Recompute Exp convolution right15 factorial step5 with exact rational arithmetic, not rounded decimals.
• S399 · premise_and_result_audit — Recompute Exp convolution right15 factorial step4 with exact rational arithmetic, not rounded decimals.
• S398 · premise_and_result_audit — Recompute Exp convolution right15 factorial step3 with exact rational arithmetic, not rounded decimals.
• S397 · premise_and_result_audit — Recompute Exp convolution right15 factorial step2 with exact rational arithmetic, not rounded decimals.
• S396 · premise_and_result_audit — Recompute Exp convolution right15 factorial step1 with exact rational arithmetic, not rounded decimals.
• S395 · premise_and_result_audit — Recompute Exp convolution left15 factorial step15 with exact rational arithmetic, not rounded decimals.
• S394 · premise_and_result_audit — Recompute Exp convolution left15 factorial step14 with exact rational arithmetic, not rounded decimals.
• S393 · premise_and_result_audit — Recompute Exp convolution left15 factorial step13 with exact rational arithmetic, not rounded decimals.
• S392 · premise_and_result_audit — Recompute Exp convolution left15 factorial step12 with exact rational arithmetic, not rounded decimals.
• S391 · premise_and_result_audit — Recompute Exp convolution left15 factorial step11 with exact rational arithmetic, not rounded decimals.
• S390 · premise_and_result_audit — Recompute Exp convolution left15 factorial step10 with exact rational arithmetic, not rounded decimals.
• S389 · premise_and_result_audit — Recompute Exp convolution left15 factorial step9 with exact rational arithmetic, not rounded decimals.
• S388 · premise_and_result_audit — Recompute Exp convolution left15 factorial step8 with exact rational arithmetic, not rounded decimals.
• S387 · premise_and_result_audit — Recompute Exp convolution left15 factorial step7 with exact rational arithmetic, not rounded decimals.
• S386 · premise_and_result_audit — Recompute Exp convolution left15 factorial step6 with exact rational arithmetic, not rounded decimals.
• S385 · premise_and_result_audit — Recompute Exp convolution left15 factorial step5 with exact rational arithmetic, not rounded decimals.
• S384 · premise_and_result_audit — Recompute Exp convolution left15 factorial step4 with exact rational arithmetic, not rounded decimals.
• S383 · premise_and_result_audit — Recompute Exp convolution left15 factorial step3 with exact rational arithmetic, not rounded decimals.
• S382 · premise_and_result_audit — Recompute Exp convolution left15 factorial step2 with exact rational arithmetic, not rounded decimals.
• S381 · premise_and_result_audit — Recompute Exp convolution left15 factorial step1 with exact rational arithmetic, not rounded decimals.
• S380 · premise_and_result_audit — Recompute Exp convolution numerator15 with exact rational arithmetic, not rounded decimals.
• S379 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S378 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S377 · premise_and_result_audit — Recompute Exp convolution coefficient term14 with exact rational arithmetic, not rounded decimals.
• S376 · premise_and_result_audit — Recompute Exp convolution denominator14 with exact rational arithmetic, not rounded decimals.
• S375 · premise_and_result_audit — Recompute Exp convolution right14 factorial step6 with exact rational arithmetic, not rounded decimals.
• S374 · premise_and_result_audit — Recompute Exp convolution right14 factorial step5 with exact rational arithmetic, not rounded decimals.
• S373 · premise_and_result_audit — Recompute Exp convolution right14 factorial step4 with exact rational arithmetic, not rounded decimals.
• S372 · premise_and_result_audit — Recompute Exp convolution right14 factorial step3 with exact rational arithmetic, not rounded decimals.
• S371 · premise_and_result_audit — Recompute Exp convolution right14 factorial step2 with exact rational arithmetic, not rounded decimals.
• S370 · premise_and_result_audit — Recompute Exp convolution right14 factorial step1 with exact rational arithmetic, not rounded decimals.
• S369 · premise_and_result_audit — Recompute Exp convolution left14 factorial step14 with exact rational arithmetic, not rounded decimals.
• S368 · premise_and_result_audit — Recompute Exp convolution left14 factorial step13 with exact rational arithmetic, not rounded decimals.
• S367 · premise_and_result_audit — Recompute Exp convolution left14 factorial step12 with exact rational arithmetic, not rounded decimals.
• S366 · premise_and_result_audit — Recompute Exp convolution left14 factorial step11 with exact rational arithmetic, not rounded decimals.
• S365 · premise_and_result_audit — Recompute Exp convolution left14 factorial step10 with exact rational arithmetic, not rounded decimals.
• S364 · premise_and_result_audit — Recompute Exp convolution left14 factorial step9 with exact rational arithmetic, not rounded decimals.
• S363 · premise_and_result_audit — Recompute Exp convolution left14 factorial step8 with exact rational arithmetic, not rounded decimals.
• S362 · premise_and_result_audit — Recompute Exp convolution left14 factorial step7 with exact rational arithmetic, not rounded decimals.
• S361 · premise_and_result_audit — Recompute Exp convolution left14 factorial step6 with exact rational arithmetic, not rounded decimals.
• S360 · premise_and_result_audit — Recompute Exp convolution left14 factorial step5 with exact rational arithmetic, not rounded decimals.
• S359 · premise_and_result_audit — Recompute Exp convolution left14 factorial step4 with exact rational arithmetic, not rounded decimals.
• S358 · premise_and_result_audit — Recompute Exp convolution left14 factorial step3 with exact rational arithmetic, not rounded decimals.
• S357 · premise_and_result_audit — Recompute Exp convolution left14 factorial step2 with exact rational arithmetic, not rounded decimals.
• S356 · premise_and_result_audit — Recompute Exp convolution left14 factorial step1 with exact rational arithmetic, not rounded decimals.
• S355 · premise_and_result_audit — Recompute Exp convolution numerator14 with exact rational arithmetic, not rounded decimals.
• S354 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S353 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S352 · premise_and_result_audit — Recompute Exp convolution coefficient term13 with exact rational arithmetic, not rounded decimals.
• S351 · premise_and_result_audit — Recompute Exp convolution denominator13 with exact rational arithmetic, not rounded decimals.
• S350 · premise_and_result_audit — Recompute Exp convolution right13 factorial step7 with exact rational arithmetic, not rounded decimals.
• S349 · premise_and_result_audit — Recompute Exp convolution right13 factorial step6 with exact rational arithmetic, not rounded decimals.
• S348 · premise_and_result_audit — Recompute Exp convolution right13 factorial step5 with exact rational arithmetic, not rounded decimals.
• S347 · premise_and_result_audit — Recompute Exp convolution right13 factorial step4 with exact rational arithmetic, not rounded decimals.
• S346 · premise_and_result_audit — Recompute Exp convolution right13 factorial step3 with exact rational arithmetic, not rounded decimals.
• S345 · premise_and_result_audit — Recompute Exp convolution right13 factorial step2 with exact rational arithmetic, not rounded decimals.
• S344 · premise_and_result_audit — Recompute Exp convolution right13 factorial step1 with exact rational arithmetic, not rounded decimals.
• S343 · premise_and_result_audit — Recompute Exp convolution left13 factorial step13 with exact rational arithmetic, not rounded decimals.
• S342 · premise_and_result_audit — Recompute Exp convolution left13 factorial step12 with exact rational arithmetic, not rounded decimals.
• S341 · premise_and_result_audit — Recompute Exp convolution left13 factorial step11 with exact rational arithmetic, not rounded decimals.
• S340 · premise_and_result_audit — Recompute Exp convolution left13 factorial step10 with exact rational arithmetic, not rounded decimals.
• S339 · premise_and_result_audit — Recompute Exp convolution left13 factorial step9 with exact rational arithmetic, not rounded decimals.
• S338 · premise_and_result_audit — Recompute Exp convolution left13 factorial step8 with exact rational arithmetic, not rounded decimals.
• S337 · premise_and_result_audit — Recompute Exp convolution left13 factorial step7 with exact rational arithmetic, not rounded decimals.
• S336 · premise_and_result_audit — Recompute Exp convolution left13 factorial step6 with exact rational arithmetic, not rounded decimals.
• S335 · premise_and_result_audit — Recompute Exp convolution left13 factorial step5 with exact rational arithmetic, not rounded decimals.
• S334 · premise_and_result_audit — Recompute Exp convolution left13 factorial step4 with exact rational arithmetic, not rounded decimals.
• S333 · premise_and_result_audit — Recompute Exp convolution left13 factorial step3 with exact rational arithmetic, not rounded decimals.
• S332 · premise_and_result_audit — Recompute Exp convolution left13 factorial step2 with exact rational arithmetic, not rounded decimals.
• S331 · premise_and_result_audit — Recompute Exp convolution left13 factorial step1 with exact rational arithmetic, not rounded decimals.
• S330 · premise_and_result_audit — Recompute Exp convolution numerator13 with exact rational arithmetic, not rounded decimals.
• S329 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S328 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S327 · premise_and_result_audit — Recompute Exp convolution coefficient term12 with exact rational arithmetic, not rounded decimals.
• S326 · premise_and_result_audit — Recompute Exp convolution denominator12 with exact rational arithmetic, not rounded decimals.
• S325 · premise_and_result_audit — Recompute Exp convolution right12 factorial step8 with exact rational arithmetic, not rounded decimals.
• S324 · premise_and_result_audit — Recompute Exp convolution right12 factorial step7 with exact rational arithmetic, not rounded decimals.
• S323 · premise_and_result_audit — Recompute Exp convolution right12 factorial step6 with exact rational arithmetic, not rounded decimals.
• S322 · premise_and_result_audit — Recompute Exp convolution right12 factorial step5 with exact rational arithmetic, not rounded decimals.
• S321 · premise_and_result_audit — Recompute Exp convolution right12 factorial step4 with exact rational arithmetic, not rounded decimals.
• S320 · premise_and_result_audit — Recompute Exp convolution right12 factorial step3 with exact rational arithmetic, not rounded decimals.
• S319 · premise_and_result_audit — Recompute Exp convolution right12 factorial step2 with exact rational arithmetic, not rounded decimals.
• S318 · premise_and_result_audit — Recompute Exp convolution right12 factorial step1 with exact rational arithmetic, not rounded decimals.
• S317 · premise_and_result_audit — Recompute Exp convolution left12 factorial step12 with exact rational arithmetic, not rounded decimals.
• S316 · premise_and_result_audit — Recompute Exp convolution left12 factorial step11 with exact rational arithmetic, not rounded decimals.
• S315 · premise_and_result_audit — Recompute Exp convolution left12 factorial step10 with exact rational arithmetic, not rounded decimals.
• S314 · premise_and_result_audit — Recompute Exp convolution left12 factorial step9 with exact rational arithmetic, not rounded decimals.
• S313 · premise_and_result_audit — Recompute Exp convolution left12 factorial step8 with exact rational arithmetic, not rounded decimals.
• S312 · premise_and_result_audit — Recompute Exp convolution left12 factorial step7 with exact rational arithmetic, not rounded decimals.
• S311 · premise_and_result_audit — Recompute Exp convolution left12 factorial step6 with exact rational arithmetic, not rounded decimals.
• S310 · premise_and_result_audit — Recompute Exp convolution left12 factorial step5 with exact rational arithmetic, not rounded decimals.
• S309 · premise_and_result_audit — Recompute Exp convolution left12 factorial step4 with exact rational arithmetic, not rounded decimals.
• S308 · premise_and_result_audit — Recompute Exp convolution left12 factorial step3 with exact rational arithmetic, not rounded decimals.
• S307 · premise_and_result_audit — Recompute Exp convolution left12 factorial step2 with exact rational arithmetic, not rounded decimals.
• S306 · premise_and_result_audit — Recompute Exp convolution left12 factorial step1 with exact rational arithmetic, not rounded decimals.
• S305 · premise_and_result_audit — Recompute Exp convolution numerator12 with exact rational arithmetic, not rounded decimals.
• S304 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S303 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S302 · premise_and_result_audit — Recompute Exp convolution coefficient term11 with exact rational arithmetic, not rounded decimals.
• S301 · premise_and_result_audit — Recompute Exp convolution denominator11 with exact rational arithmetic, not rounded decimals.
• S300 · premise_and_result_audit — Recompute Exp convolution right11 factorial step9 with exact rational arithmetic, not rounded decimals.
• S299 · premise_and_result_audit — Recompute Exp convolution right11 factorial step8 with exact rational arithmetic, not rounded decimals.
• S298 · premise_and_result_audit — Recompute Exp convolution right11 factorial step7 with exact rational arithmetic, not rounded decimals.
• S297 · premise_and_result_audit — Recompute Exp convolution right11 factorial step6 with exact rational arithmetic, not rounded decimals.
• S296 · premise_and_result_audit — Recompute Exp convolution right11 factorial step5 with exact rational arithmetic, not rounded decimals.
• S295 · premise_and_result_audit — Recompute Exp convolution right11 factorial step4 with exact rational arithmetic, not rounded decimals.
• S294 · premise_and_result_audit — Recompute Exp convolution right11 factorial step3 with exact rational arithmetic, not rounded decimals.
• S293 · premise_and_result_audit — Recompute Exp convolution right11 factorial step2 with exact rational arithmetic, not rounded decimals.
• S292 · premise_and_result_audit — Recompute Exp convolution right11 factorial step1 with exact rational arithmetic, not rounded decimals.
• S291 · premise_and_result_audit — Recompute Exp convolution left11 factorial step11 with exact rational arithmetic, not rounded decimals.
• S290 · premise_and_result_audit — Recompute Exp convolution left11 factorial step10 with exact rational arithmetic, not rounded decimals.
• S289 · premise_and_result_audit — Recompute Exp convolution left11 factorial step9 with exact rational arithmetic, not rounded decimals.
• S288 · premise_and_result_audit — Recompute Exp convolution left11 factorial step8 with exact rational arithmetic, not rounded decimals.
• S287 · premise_and_result_audit — Recompute Exp convolution left11 factorial step7 with exact rational arithmetic, not rounded decimals.
• S286 · premise_and_result_audit — Recompute Exp convolution left11 factorial step6 with exact rational arithmetic, not rounded decimals.
• S285 · premise_and_result_audit — Recompute Exp convolution left11 factorial step5 with exact rational arithmetic, not rounded decimals.
• S284 · premise_and_result_audit — Recompute Exp convolution left11 factorial step4 with exact rational arithmetic, not rounded decimals.
• S283 · premise_and_result_audit — Recompute Exp convolution left11 factorial step3 with exact rational arithmetic, not rounded decimals.
• S282 · premise_and_result_audit — Recompute Exp convolution left11 factorial step2 with exact rational arithmetic, not rounded decimals.
• S281 · premise_and_result_audit — Recompute Exp convolution left11 factorial step1 with exact rational arithmetic, not rounded decimals.
• S280 · premise_and_result_audit — Recompute Exp convolution numerator11 with exact rational arithmetic, not rounded decimals.
• S279 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S278 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S277 · premise_and_result_audit — Recompute Exp convolution coefficient term10 with exact rational arithmetic, not rounded decimals.
• S276 · premise_and_result_audit — Recompute Exp convolution denominator10 with exact rational arithmetic, not rounded decimals.
• S275 · premise_and_result_audit — Recompute Exp convolution right10 factorial step10 with exact rational arithmetic, not rounded decimals.
• S274 · premise_and_result_audit — Recompute Exp convolution right10 factorial step9 with exact rational arithmetic, not rounded decimals.
• S273 · premise_and_result_audit — Recompute Exp convolution right10 factorial step8 with exact rational arithmetic, not rounded decimals.
• S272 · premise_and_result_audit — Recompute Exp convolution right10 factorial step7 with exact rational arithmetic, not rounded decimals.
• S271 · premise_and_result_audit — Recompute Exp convolution right10 factorial step6 with exact rational arithmetic, not rounded decimals.
• S270 · premise_and_result_audit — Recompute Exp convolution right10 factorial step5 with exact rational arithmetic, not rounded decimals.
• S269 · premise_and_result_audit — Recompute Exp convolution right10 factorial step4 with exact rational arithmetic, not rounded decimals.
• S268 · premise_and_result_audit — Recompute Exp convolution right10 factorial step3 with exact rational arithmetic, not rounded decimals.
• S267 · premise_and_result_audit — Recompute Exp convolution right10 factorial step2 with exact rational arithmetic, not rounded decimals.
• S266 · premise_and_result_audit — Recompute Exp convolution right10 factorial step1 with exact rational arithmetic, not rounded decimals.
• S265 · premise_and_result_audit — Recompute Exp convolution left10 factorial step10 with exact rational arithmetic, not rounded decimals.
• S264 · premise_and_result_audit — Recompute Exp convolution left10 factorial step9 with exact rational arithmetic, not rounded decimals.
• S263 · premise_and_result_audit — Recompute Exp convolution left10 factorial step8 with exact rational arithmetic, not rounded decimals.
• S262 · premise_and_result_audit — Recompute Exp convolution left10 factorial step7 with exact rational arithmetic, not rounded decimals.
• S261 · premise_and_result_audit — Recompute Exp convolution left10 factorial step6 with exact rational arithmetic, not rounded decimals.
• S260 · premise_and_result_audit — Recompute Exp convolution left10 factorial step5 with exact rational arithmetic, not rounded decimals.
• S259 · premise_and_result_audit — Recompute Exp convolution left10 factorial step4 with exact rational arithmetic, not rounded decimals.
• S258 · premise_and_result_audit — Recompute Exp convolution left10 factorial step3 with exact rational arithmetic, not rounded decimals.
• S257 · premise_and_result_audit — Recompute Exp convolution left10 factorial step2 with exact rational arithmetic, not rounded decimals.
• S256 · premise_and_result_audit — Recompute Exp convolution left10 factorial step1 with exact rational arithmetic, not rounded decimals.
• S255 · premise_and_result_audit — Recompute Exp convolution numerator10 with exact rational arithmetic, not rounded decimals.
• S254 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S253 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S252 · premise_and_result_audit — Recompute Exp convolution coefficient term9 with exact rational arithmetic, not rounded decimals.
• S251 · premise_and_result_audit — Recompute Exp convolution denominator9 with exact rational arithmetic, not rounded decimals.
• S250 · premise_and_result_audit — Recompute Exp convolution right9 factorial step11 with exact rational arithmetic, not rounded decimals.
• S249 · premise_and_result_audit — Recompute Exp convolution right9 factorial step10 with exact rational arithmetic, not rounded decimals.
• S248 · premise_and_result_audit — Recompute Exp convolution right9 factorial step9 with exact rational arithmetic, not rounded decimals.
• S247 · premise_and_result_audit — Recompute Exp convolution right9 factorial step8 with exact rational arithmetic, not rounded decimals.
• S246 · premise_and_result_audit — Recompute Exp convolution right9 factorial step7 with exact rational arithmetic, not rounded decimals.
• S245 · premise_and_result_audit — Recompute Exp convolution right9 factorial step6 with exact rational arithmetic, not rounded decimals.
• S244 · premise_and_result_audit — Recompute Exp convolution right9 factorial step5 with exact rational arithmetic, not rounded decimals.
• S243 · premise_and_result_audit — Recompute Exp convolution right9 factorial step4 with exact rational arithmetic, not rounded decimals.
• S242 · premise_and_result_audit — Recompute Exp convolution right9 factorial step3 with exact rational arithmetic, not rounded decimals.
• S241 · premise_and_result_audit — Recompute Exp convolution right9 factorial step2 with exact rational arithmetic, not rounded decimals.
• S240 · premise_and_result_audit — Recompute Exp convolution right9 factorial step1 with exact rational arithmetic, not rounded decimals.
• S239 · premise_and_result_audit — Recompute Exp convolution left9 factorial step9 with exact rational arithmetic, not rounded decimals.
• S238 · premise_and_result_audit — Recompute Exp convolution left9 factorial step8 with exact rational arithmetic, not rounded decimals.
• S237 · premise_and_result_audit — Recompute Exp convolution left9 factorial step7 with exact rational arithmetic, not rounded decimals.
• S236 · premise_and_result_audit — Recompute Exp convolution left9 factorial step6 with exact rational arithmetic, not rounded decimals.
• S235 · premise_and_result_audit — Recompute Exp convolution left9 factorial step5 with exact rational arithmetic, not rounded decimals.
• S234 · premise_and_result_audit — Recompute Exp convolution left9 factorial step4 with exact rational arithmetic, not rounded decimals.
• S233 · premise_and_result_audit — Recompute Exp convolution left9 factorial step3 with exact rational arithmetic, not rounded decimals.
• S232 · premise_and_result_audit — Recompute Exp convolution left9 factorial step2 with exact rational arithmetic, not rounded decimals.
• S231 · premise_and_result_audit — Recompute Exp convolution left9 factorial step1 with exact rational arithmetic, not rounded decimals.
• S230 · premise_and_result_audit — Recompute Exp convolution numerator9 with exact rational arithmetic, not rounded decimals.
• S229 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S228 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S227 · premise_and_result_audit — Recompute Exp convolution coefficient term8 with exact rational arithmetic, not rounded decimals.
• S226 · premise_and_result_audit — Recompute Exp convolution denominator8 with exact rational arithmetic, not rounded decimals.
• S225 · premise_and_result_audit — Recompute Exp convolution right8 factorial step12 with exact rational arithmetic, not rounded decimals.
• S224 · premise_and_result_audit — Recompute Exp convolution right8 factorial step11 with exact rational arithmetic, not rounded decimals.
• S223 · premise_and_result_audit — Recompute Exp convolution right8 factorial step10 with exact rational arithmetic, not rounded decimals.
• S222 · premise_and_result_audit — Recompute Exp convolution right8 factorial step9 with exact rational arithmetic, not rounded decimals.
• S221 · premise_and_result_audit — Recompute Exp convolution right8 factorial step8 with exact rational arithmetic, not rounded decimals.
• S220 · premise_and_result_audit — Recompute Exp convolution right8 factorial step7 with exact rational arithmetic, not rounded decimals.
• S219 · premise_and_result_audit — Recompute Exp convolution right8 factorial step6 with exact rational arithmetic, not rounded decimals.
• S218 · premise_and_result_audit — Recompute Exp convolution right8 factorial step5 with exact rational arithmetic, not rounded decimals.
• S217 · premise_and_result_audit — Recompute Exp convolution right8 factorial step4 with exact rational arithmetic, not rounded decimals.
• S216 · premise_and_result_audit — Recompute Exp convolution right8 factorial step3 with exact rational arithmetic, not rounded decimals.
• S215 · premise_and_result_audit — Recompute Exp convolution right8 factorial step2 with exact rational arithmetic, not rounded decimals.
• S214 · premise_and_result_audit — Recompute Exp convolution right8 factorial step1 with exact rational arithmetic, not rounded decimals.
• S213 · premise_and_result_audit — Recompute Exp convolution left8 factorial step8 with exact rational arithmetic, not rounded decimals.
• S212 · premise_and_result_audit — Recompute Exp convolution left8 factorial step7 with exact rational arithmetic, not rounded decimals.
• S211 · premise_and_result_audit — Recompute Exp convolution left8 factorial step6 with exact rational arithmetic, not rounded decimals.
• S210 · premise_and_result_audit — Recompute Exp convolution left8 factorial step5 with exact rational arithmetic, not rounded decimals.
• S209 · premise_and_result_audit — Recompute Exp convolution left8 factorial step4 with exact rational arithmetic, not rounded decimals.
• S208 · premise_and_result_audit — Recompute Exp convolution left8 factorial step3 with exact rational arithmetic, not rounded decimals.
• S207 · premise_and_result_audit — Recompute Exp convolution left8 factorial step2 with exact rational arithmetic, not rounded decimals.
• S206 · premise_and_result_audit — Recompute Exp convolution left8 factorial step1 with exact rational arithmetic, not rounded decimals.
• S205 · premise_and_result_audit — Recompute Exp convolution numerator8 with exact rational arithmetic, not rounded decimals.
• S204 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S203 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S202 · premise_and_result_audit — Recompute Exp convolution coefficient term7 with exact rational arithmetic, not rounded decimals.
• S201 · premise_and_result_audit — Recompute Exp convolution denominator7 with exact rational arithmetic, not rounded decimals.
• S200 · premise_and_result_audit — Recompute Exp convolution right7 factorial step13 with exact rational arithmetic, not rounded decimals.
• S199 · premise_and_result_audit — Recompute Exp convolution right7 factorial step12 with exact rational arithmetic, not rounded decimals.
• S198 · premise_and_result_audit — Recompute Exp convolution right7 factorial step11 with exact rational arithmetic, not rounded decimals.
• S197 · premise_and_result_audit — Recompute Exp convolution right7 factorial step10 with exact rational arithmetic, not rounded decimals.
• S196 · premise_and_result_audit — Recompute Exp convolution right7 factorial step9 with exact rational arithmetic, not rounded decimals.
• S195 · premise_and_result_audit — Recompute Exp convolution right7 factorial step8 with exact rational arithmetic, not rounded decimals.
• S194 · premise_and_result_audit — Recompute Exp convolution right7 factorial step7 with exact rational arithmetic, not rounded decimals.
• S193 · premise_and_result_audit — Recompute Exp convolution right7 factorial step6 with exact rational arithmetic, not rounded decimals.
• S192 · premise_and_result_audit — Recompute Exp convolution right7 factorial step5 with exact rational arithmetic, not rounded decimals.
• S191 · premise_and_result_audit — Recompute Exp convolution right7 factorial step4 with exact rational arithmetic, not rounded decimals.
• S190 · premise_and_result_audit — Recompute Exp convolution right7 factorial step3 with exact rational arithmetic, not rounded decimals.
• S189 · premise_and_result_audit — Recompute Exp convolution right7 factorial step2 with exact rational arithmetic, not rounded decimals.
• S188 · premise_and_result_audit — Recompute Exp convolution right7 factorial step1 with exact rational arithmetic, not rounded decimals.
• S187 · premise_and_result_audit — Recompute Exp convolution left7 factorial step7 with exact rational arithmetic, not rounded decimals.
• S186 · premise_and_result_audit — Recompute Exp convolution left7 factorial step6 with exact rational arithmetic, not rounded decimals.
• S185 · premise_and_result_audit — Recompute Exp convolution left7 factorial step5 with exact rational arithmetic, not rounded decimals.
• S184 · premise_and_result_audit — Recompute Exp convolution left7 factorial step4 with exact rational arithmetic, not rounded decimals.
• S183 · premise_and_result_audit — Recompute Exp convolution left7 factorial step3 with exact rational arithmetic, not rounded decimals.
• S182 · premise_and_result_audit — Recompute Exp convolution left7 factorial step2 with exact rational arithmetic, not rounded decimals.
• S181 · premise_and_result_audit — Recompute Exp convolution left7 factorial step1 with exact rational arithmetic, not rounded decimals.
• S180 · premise_and_result_audit — Recompute Exp convolution numerator7 with exact rational arithmetic, not rounded decimals.
• S179 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S178 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S177 · premise_and_result_audit — Recompute Exp convolution coefficient term6 with exact rational arithmetic, not rounded decimals.
• S176 · premise_and_result_audit — Recompute Exp convolution denominator6 with exact rational arithmetic, not rounded decimals.
• S175 · premise_and_result_audit — Recompute Exp convolution right6 factorial step14 with exact rational arithmetic, not rounded decimals.
• S174 · premise_and_result_audit — Recompute Exp convolution right6 factorial step13 with exact rational arithmetic, not rounded decimals.
• S173 · premise_and_result_audit — Recompute Exp convolution right6 factorial step12 with exact rational arithmetic, not rounded decimals.
• S172 · premise_and_result_audit — Recompute Exp convolution right6 factorial step11 with exact rational arithmetic, not rounded decimals.
• S171 · premise_and_result_audit — Recompute Exp convolution right6 factorial step10 with exact rational arithmetic, not rounded decimals.
• S170 · premise_and_result_audit — Recompute Exp convolution right6 factorial step9 with exact rational arithmetic, not rounded decimals.
• S169 · premise_and_result_audit — Recompute Exp convolution right6 factorial step8 with exact rational arithmetic, not rounded decimals.
• S168 · premise_and_result_audit — Recompute Exp convolution right6 factorial step7 with exact rational arithmetic, not rounded decimals.
• S167 · premise_and_result_audit — Recompute Exp convolution right6 factorial step6 with exact rational arithmetic, not rounded decimals.
• S166 · premise_and_result_audit — Recompute Exp convolution right6 factorial step5 with exact rational arithmetic, not rounded decimals.
• S165 · premise_and_result_audit — Recompute Exp convolution right6 factorial step4 with exact rational arithmetic, not rounded decimals.
• S164 · premise_and_result_audit — Recompute Exp convolution right6 factorial step3 with exact rational arithmetic, not rounded decimals.
• S163 · premise_and_result_audit — Recompute Exp convolution right6 factorial step2 with exact rational arithmetic, not rounded decimals.
• S162 · premise_and_result_audit — Recompute Exp convolution right6 factorial step1 with exact rational arithmetic, not rounded decimals.
• S161 · premise_and_result_audit — Recompute Exp convolution left6 factorial step6 with exact rational arithmetic, not rounded decimals.
• S160 · premise_and_result_audit — Recompute Exp convolution left6 factorial step5 with exact rational arithmetic, not rounded decimals.
• S159 · premise_and_result_audit — Recompute Exp convolution left6 factorial step4 with exact rational arithmetic, not rounded decimals.
• S158 · premise_and_result_audit — Recompute Exp convolution left6 factorial step3 with exact rational arithmetic, not rounded decimals.
• S157 · premise_and_result_audit — Recompute Exp convolution left6 factorial step2 with exact rational arithmetic, not rounded decimals.
• S156 · premise_and_result_audit — Recompute Exp convolution left6 factorial step1 with exact rational arithmetic, not rounded decimals.
• S155 · premise_and_result_audit — Recompute Exp convolution numerator6 with exact rational arithmetic, not rounded decimals.
• S154 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S153 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S152 · premise_and_result_audit — Recompute Exp convolution coefficient term5 with exact rational arithmetic, not rounded decimals.
• S151 · premise_and_result_audit — Recompute Exp convolution denominator5 with exact rational arithmetic, not rounded decimals.
• S150 · premise_and_result_audit — Recompute Exp convolution right5 factorial step15 with exact rational arithmetic, not rounded decimals.
• S149 · premise_and_result_audit — Recompute Exp convolution right5 factorial step14 with exact rational arithmetic, not rounded decimals.
• S148 · premise_and_result_audit — Recompute Exp convolution right5 factorial step13 with exact rational arithmetic, not rounded decimals.
• S147 · premise_and_result_audit — Recompute Exp convolution right5 factorial step12 with exact rational arithmetic, not rounded decimals.
• S146 · premise_and_result_audit — Recompute Exp convolution right5 factorial step11 with exact rational arithmetic, not rounded decimals.
• S145 · premise_and_result_audit — Recompute Exp convolution right5 factorial step10 with exact rational arithmetic, not rounded decimals.
• S144 · premise_and_result_audit — Recompute Exp convolution right5 factorial step9 with exact rational arithmetic, not rounded decimals.
• S143 · premise_and_result_audit — Recompute Exp convolution right5 factorial step8 with exact rational arithmetic, not rounded decimals.
• S142 · premise_and_result_audit — Recompute Exp convolution right5 factorial step7 with exact rational arithmetic, not rounded decimals.
• S141 · premise_and_result_audit — Recompute Exp convolution right5 factorial step6 with exact rational arithmetic, not rounded decimals.
• S140 · premise_and_result_audit — Recompute Exp convolution right5 factorial step5 with exact rational arithmetic, not rounded decimals.
• S139 · premise_and_result_audit — Recompute Exp convolution right5 factorial step4 with exact rational arithmetic, not rounded decimals.
• S138 · premise_and_result_audit — Recompute Exp convolution right5 factorial step3 with exact rational arithmetic, not rounded decimals.
• S137 · premise_and_result_audit — Recompute Exp convolution right5 factorial step2 with exact rational arithmetic, not rounded decimals.
• S136 · premise_and_result_audit — Recompute Exp convolution right5 factorial step1 with exact rational arithmetic, not rounded decimals.
• S135 · premise_and_result_audit — Recompute Exp convolution left5 factorial step5 with exact rational arithmetic, not rounded decimals.
• S134 · premise_and_result_audit — Recompute Exp convolution left5 factorial step4 with exact rational arithmetic, not rounded decimals.
• S133 · premise_and_result_audit — Recompute Exp convolution left5 factorial step3 with exact rational arithmetic, not rounded decimals.
• S132 · premise_and_result_audit — Recompute Exp convolution left5 factorial step2 with exact rational arithmetic, not rounded decimals.
• S131 · premise_and_result_audit — Recompute Exp convolution left5 factorial step1 with exact rational arithmetic, not rounded decimals.
• S130 · premise_and_result_audit — Recompute Exp convolution numerator5 with exact rational arithmetic, not rounded decimals.
• S129 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S128 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S127 · premise_and_result_audit — Recompute Exp convolution coefficient term4 with exact rational arithmetic, not rounded decimals.
• S126 · premise_and_result_audit — Recompute Exp convolution denominator4 with exact rational arithmetic, not rounded decimals.
• S125 · premise_and_result_audit — Recompute Exp convolution right4 factorial step16 with exact rational arithmetic, not rounded decimals.
• S124 · premise_and_result_audit — Recompute Exp convolution right4 factorial step15 with exact rational arithmetic, not rounded decimals.
• S123 · premise_and_result_audit — Recompute Exp convolution right4 factorial step14 with exact rational arithmetic, not rounded decimals.
• S122 · premise_and_result_audit — Recompute Exp convolution right4 factorial step13 with exact rational arithmetic, not rounded decimals.
• S121 · premise_and_result_audit — Recompute Exp convolution right4 factorial step12 with exact rational arithmetic, not rounded decimals.
• S120 · premise_and_result_audit — Recompute Exp convolution right4 factorial step11 with exact rational arithmetic, not rounded decimals.
• S119 · premise_and_result_audit — Recompute Exp convolution right4 factorial step10 with exact rational arithmetic, not rounded decimals.
• S118 · premise_and_result_audit — Recompute Exp convolution right4 factorial step9 with exact rational arithmetic, not rounded decimals.
• S117 · premise_and_result_audit — Recompute Exp convolution right4 factorial step8 with exact rational arithmetic, not rounded decimals.
• S116 · premise_and_result_audit — Recompute Exp convolution right4 factorial step7 with exact rational arithmetic, not rounded decimals.
• S115 · premise_and_result_audit — Recompute Exp convolution right4 factorial step6 with exact rational arithmetic, not rounded decimals.
• S114 · premise_and_result_audit — Recompute Exp convolution right4 factorial step5 with exact rational arithmetic, not rounded decimals.
• S113 · premise_and_result_audit — Recompute Exp convolution right4 factorial step4 with exact rational arithmetic, not rounded decimals.
• S112 · premise_and_result_audit — Recompute Exp convolution right4 factorial step3 with exact rational arithmetic, not rounded decimals.
• S111 · premise_and_result_audit — Recompute Exp convolution right4 factorial step2 with exact rational arithmetic, not rounded decimals.
• S110 · premise_and_result_audit — Recompute Exp convolution right4 factorial step1 with exact rational arithmetic, not rounded decimals.
• S109 · premise_and_result_audit — Recompute Exp convolution left4 factorial step4 with exact rational arithmetic, not rounded decimals.
• S108 · premise_and_result_audit — Recompute Exp convolution left4 factorial step3 with exact rational arithmetic, not rounded decimals.
• S107 · premise_and_result_audit — Recompute Exp convolution left4 factorial step2 with exact rational arithmetic, not rounded decimals.
• S106 · premise_and_result_audit — Recompute Exp convolution left4 factorial step1 with exact rational arithmetic, not rounded decimals.
• S105 · premise_and_result_audit — Recompute Exp convolution numerator4 with exact rational arithmetic, not rounded decimals.
• S104 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S103 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S102 · premise_and_result_audit — Recompute Exp convolution coefficient term3 with exact rational arithmetic, not rounded decimals.
• S101 · premise_and_result_audit — Recompute Exp convolution denominator3 with exact rational arithmetic, not rounded decimals.
• S100 · premise_and_result_audit — Recompute Exp convolution right3 factorial step17 with exact rational arithmetic, not rounded decimals.
• S099 · premise_and_result_audit — Recompute Exp convolution right3 factorial step16 with exact rational arithmetic, not rounded decimals.
• S098 · premise_and_result_audit — Recompute Exp convolution right3 factorial step15 with exact rational arithmetic, not rounded decimals.
• S097 · premise_and_result_audit — Recompute Exp convolution right3 factorial step14 with exact rational arithmetic, not rounded decimals.
• S096 · premise_and_result_audit — Recompute Exp convolution right3 factorial step13 with exact rational arithmetic, not rounded decimals.
• S095 · premise_and_result_audit — Recompute Exp convolution right3 factorial step12 with exact rational arithmetic, not rounded decimals.
• S094 · premise_and_result_audit — Recompute Exp convolution right3 factorial step11 with exact rational arithmetic, not rounded decimals.
• S093 · premise_and_result_audit — Recompute Exp convolution right3 factorial step10 with exact rational arithmetic, not rounded decimals.
• S092 · premise_and_result_audit — Recompute Exp convolution right3 factorial step9 with exact rational arithmetic, not rounded decimals.
• S091 · premise_and_result_audit — Recompute Exp convolution right3 factorial step8 with exact rational arithmetic, not rounded decimals.
• S090 · premise_and_result_audit — Recompute Exp convolution right3 factorial step7 with exact rational arithmetic, not rounded decimals.
• S089 · premise_and_result_audit — Recompute Exp convolution right3 factorial step6 with exact rational arithmetic, not rounded decimals.
• S088 · premise_and_result_audit — Recompute Exp convolution right3 factorial step5 with exact rational arithmetic, not rounded decimals.
• S087 · premise_and_result_audit — Recompute Exp convolution right3 factorial step4 with exact rational arithmetic, not rounded decimals.
• S086 · premise_and_result_audit — Recompute Exp convolution right3 factorial step3 with exact rational arithmetic, not rounded decimals.
• S085 · premise_and_result_audit — Recompute Exp convolution right3 factorial step2 with exact rational arithmetic, not rounded decimals.
• S084 · premise_and_result_audit — Recompute Exp convolution right3 factorial step1 with exact rational arithmetic, not rounded decimals.
• S083 · premise_and_result_audit — Recompute Exp convolution left3 factorial step3 with exact rational arithmetic, not rounded decimals.
• S082 · premise_and_result_audit — Recompute Exp convolution left3 factorial step2 with exact rational arithmetic, not rounded decimals.
• S081 · premise_and_result_audit — Recompute Exp convolution left3 factorial step1 with exact rational arithmetic, not rounded decimals.
• S080 · premise_and_result_audit — Recompute Exp convolution numerator3 with exact rational arithmetic, not rounded decimals.
• S079 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S078 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S077 · premise_and_result_audit — Recompute Exp convolution coefficient term2 with exact rational arithmetic, not rounded decimals.
• S076 · premise_and_result_audit — Recompute Exp convolution denominator2 with exact rational arithmetic, not rounded decimals.
• S075 · premise_and_result_audit — Recompute Exp convolution right2 factorial step18 with exact rational arithmetic, not rounded decimals.
• S074 · premise_and_result_audit — Recompute Exp convolution right2 factorial step17 with exact rational arithmetic, not rounded decimals.
• S073 · premise_and_result_audit — Recompute Exp convolution right2 factorial step16 with exact rational arithmetic, not rounded decimals.
• S072 · premise_and_result_audit — Recompute Exp convolution right2 factorial step15 with exact rational arithmetic, not rounded decimals.
• S071 · premise_and_result_audit — Recompute Exp convolution right2 factorial step14 with exact rational arithmetic, not rounded decimals.
• S070 · premise_and_result_audit — Recompute Exp convolution right2 factorial step13 with exact rational arithmetic, not rounded decimals.
• S069 · premise_and_result_audit — Recompute Exp convolution right2 factorial step12 with exact rational arithmetic, not rounded decimals.
• S068 · premise_and_result_audit — Recompute Exp convolution right2 factorial step11 with exact rational arithmetic, not rounded decimals.
• S067 · premise_and_result_audit — Recompute Exp convolution right2 factorial step10 with exact rational arithmetic, not rounded decimals.
• S066 · premise_and_result_audit — Recompute Exp convolution right2 factorial step9 with exact rational arithmetic, not rounded decimals.
• S065 · premise_and_result_audit — Recompute Exp convolution right2 factorial step8 with exact rational arithmetic, not rounded decimals.
• S064 · premise_and_result_audit — Recompute Exp convolution right2 factorial step7 with exact rational arithmetic, not rounded decimals.
• S063 · premise_and_result_audit — Recompute Exp convolution right2 factorial step6 with exact rational arithmetic, not rounded decimals.
• S062 · premise_and_result_audit — Recompute Exp convolution right2 factorial step5 with exact rational arithmetic, not rounded decimals.
• S061 · premise_and_result_audit — Recompute Exp convolution right2 factorial step4 with exact rational arithmetic, not rounded decimals.
• S060 · premise_and_result_audit — Recompute Exp convolution right2 factorial step3 with exact rational arithmetic, not rounded decimals.
• S059 · premise_and_result_audit — Recompute Exp convolution right2 factorial step2 with exact rational arithmetic, not rounded decimals.
• S058 · premise_and_result_audit — Recompute Exp convolution right2 factorial step1 with exact rational arithmetic, not rounded decimals.
• S057 · premise_and_result_audit — Recompute Exp convolution left2 factorial step2 with exact rational arithmetic, not rounded decimals.
• S056 · premise_and_result_audit — Recompute Exp convolution left2 factorial step1 with exact rational arithmetic, not rounded decimals.
• S055 · premise_and_result_audit — Recompute Exp convolution numerator2 with exact rational arithmetic, not rounded decimals.
• S054 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S053 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S052 · premise_and_result_audit — Recompute Exp convolution coefficient term1 with exact rational arithmetic, not rounded decimals.
• S051 · premise_and_result_audit — Recompute Exp convolution denominator1 with exact rational arithmetic, not rounded decimals.
• S050 · premise_and_result_audit — Recompute Exp convolution right1 factorial step19 with exact rational arithmetic, not rounded decimals.
• S049 · premise_and_result_audit — Recompute Exp convolution right1 factorial step18 with exact rational arithmetic, not rounded decimals.
• S048 · premise_and_result_audit — Recompute Exp convolution right1 factorial step17 with exact rational arithmetic, not rounded decimals.
• S047 · premise_and_result_audit — Recompute Exp convolution right1 factorial step16 with exact rational arithmetic, not rounded decimals.
• S046 · premise_and_result_audit — Recompute Exp convolution right1 factorial step15 with exact rational arithmetic, not rounded decimals.
• S045 · premise_and_result_audit — Recompute Exp convolution right1 factorial step14 with exact rational arithmetic, not rounded decimals.
• S044 · premise_and_result_audit — Recompute Exp convolution right1 factorial step13 with exact rational arithmetic, not rounded decimals.
• S043 · premise_and_result_audit — Recompute Exp convolution right1 factorial step12 with exact rational arithmetic, not rounded decimals.
• S042 · premise_and_result_audit — Recompute Exp convolution right1 factorial step11 with exact rational arithmetic, not rounded decimals.
• S041 · premise_and_result_audit — Recompute Exp convolution right1 factorial step10 with exact rational arithmetic, not rounded decimals.
• S040 · premise_and_result_audit — Recompute Exp convolution right1 factorial step9 with exact rational arithmetic, not rounded decimals.
• S039 · premise_and_result_audit — Recompute Exp convolution right1 factorial step8 with exact rational arithmetic, not rounded decimals.
• S038 · premise_and_result_audit — Recompute Exp convolution right1 factorial step7 with exact rational arithmetic, not rounded decimals.
• S037 · premise_and_result_audit — Recompute Exp convolution right1 factorial step6 with exact rational arithmetic, not rounded decimals.
• S036 · premise_and_result_audit — Recompute Exp convolution right1 factorial step5 with exact rational arithmetic, not rounded decimals.
• S035 · premise_and_result_audit — Recompute Exp convolution right1 factorial step4 with exact rational arithmetic, not rounded decimals.
• S034 · premise_and_result_audit — Recompute Exp convolution right1 factorial step3 with exact rational arithmetic, not rounded decimals.
• S033 · premise_and_result_audit — Recompute Exp convolution right1 factorial step2 with exact rational arithmetic, not rounded decimals.
• S032 · premise_and_result_audit — Recompute Exp convolution right1 factorial step1 with exact rational arithmetic, not rounded decimals.
• S031 · premise_and_result_audit — Recompute Exp convolution left1 factorial step1 with exact rational arithmetic, not rounded decimals.
• S030 · premise_and_result_audit — Recompute Exp convolution numerator1 with exact rational arithmetic, not rounded decimals.
• S029 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S028 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S027 · premise_and_result_audit — Recompute Exp convolution coefficient term0 with exact rational arithmetic, not rounded decimals.
• S026 · premise_and_result_audit — Recompute Exp convolution denominator0 with exact rational arithmetic, not rounded decimals.
• S025 · premise_and_result_audit — Recompute Exp convolution right0 factorial step20 with exact rational arithmetic, not rounded decimals.
• S024 · premise_and_result_audit — Recompute Exp convolution right0 factorial step19 with exact rational arithmetic, not rounded decimals.
• S023 · premise_and_result_audit — Recompute Exp convolution right0 factorial step18 with exact rational arithmetic, not rounded decimals.
• S022 · premise_and_result_audit — Recompute Exp convolution right0 factorial step17 with exact rational arithmetic, not rounded decimals.
• S021 · premise_and_result_audit — Recompute Exp convolution right0 factorial step16 with exact rational arithmetic, not rounded decimals.
• S020 · premise_and_result_audit — Recompute Exp convolution right0 factorial step15 with exact rational arithmetic, not rounded decimals.
• S019 · premise_and_result_audit — Recompute Exp convolution right0 factorial step14 with exact rational arithmetic, not rounded decimals.
• S018 · premise_and_result_audit — Recompute Exp convolution right0 factorial step13 with exact rational arithmetic, not rounded decimals.
• S017 · premise_and_result_audit — Recompute Exp convolution right0 factorial step12 with exact rational arithmetic, not rounded decimals.
• S016 · premise_and_result_audit — Recompute Exp convolution right0 factorial step11 with exact rational arithmetic, not rounded decimals.
• S015 · premise_and_result_audit — Recompute Exp convolution right0 factorial step10 with exact rational arithmetic, not rounded decimals.
• S014 · premise_and_result_audit — Recompute Exp convolution right0 factorial step9 with exact rational arithmetic, not rounded decimals.
• S013 · premise_and_result_audit — Recompute Exp convolution right0 factorial step8 with exact rational arithmetic, not rounded decimals.
• S012 · premise_and_result_audit — Recompute Exp convolution right0 factorial step7 with exact rational arithmetic, not rounded decimals.
• S011 · premise_and_result_audit — Recompute Exp convolution right0 factorial step6 with exact rational arithmetic, not rounded decimals.
• S010 · premise_and_result_audit — Recompute Exp convolution right0 factorial step5 with exact rational arithmetic, not rounded decimals.
• S009 · premise_and_result_audit — Recompute Exp convolution right0 factorial step4 with exact rational arithmetic, not rounded decimals.
• S008 · premise_and_result_audit — Recompute Exp convolution right0 factorial step3 with exact rational arithmetic, not rounded decimals.
• S007 · premise_and_result_audit — Recompute Exp convolution right0 factorial step2 with exact rational arithmetic, not rounded decimals.
• S006 · premise_and_result_audit — Recompute Exp convolution right0 factorial step1 with exact rational arithmetic, not rounded decimals.
• S005 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S004 · premise_and_result_audit — Recompute Exp convolution numerator0 with exact rational arithmetic, not rounded decimals.
• S003 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S002 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S001 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.

Result

(21/22, -22/23, 20, [[0, 244636361793658185164/1447933879643515222582682716129837194375], [1, -2021788113997175084/599558542295451437922435907300139625], [2, 4177248169415651/130665477235578388999114287305250], [3, -241658985007517/1262468379087713903373084901500], [4, 13980271859939/17220370047232244206282488000], [5, -808776058013/311963225493337757360190000], [6, 46788697571/7233929866512179880816000], [7, -2706784157/209679126565570431328000], [8, 469772457/22440575418388808704000], [9, -27176919/975677192103861248000], [10, 51883209/1696829899311063040000], [11, -1089547389/39277923408400433152000], [12, 68641485507/3306176509507097329664000], [13, -1441471195647/113056861944666610860032000], [14, 30270895108587/4758219233149446926630912000], [15, -635688797280327/250323707483079599183626240000], [16, 13349464742886867/16856580789121464487634796544000], [17, -280338759600624207/1507564638400993584828903325696000], [18, 1962371317204369449/63448807390093990874538192142336000], [19, -41209797661291758429/12684244190419659567005504672628736000], [20, 865405750887126927009/5338412337533143678635360227436789760000]], 1/2945336732372916073844860985203962504337568772809813725658735066480640000, 1/2945336732372916073844860985203962504337568772809813725658735066480640000, Yes, binomial_convolution_matches_the_declared_degree;the_general_addition_law_requires_all_degrees_plus_absolute_convergence_for_Cauchy_product_rearrangement)

The full substitutions and premise checks give the original answer; source identity,format and status are unchanged.

This question review and source binding

Review date: 2026-10-26

Original questions, answers, step expressions, numeric ASTs and historical records are retained. Source candidate labels remain historical and are not overwritten as formal proof.