Magma V2.19-8 Wed Aug 21 2013 00:25:41 on localhost [Seed = 3532964257] Type ? for help. Type -D to quit. Loading file "K14n14269__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n14269 geometric_solution 11.62556610 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 1 0 0 -1 -16 -1 0 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307118091429 1.318978467787 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 -1 0 0 1 0 0 0 0 16 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.832544283330 0.719171194272 3 0 8 6 1023 0132 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.183876044828 1.198306238857 9 2 10 0 0132 1023 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.309492435574 0.588811491236 9 7 0 11 3120 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 17 0 -17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.175191483965 1.180883527021 9 1 11 8 1023 0132 2103 0321 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -17 0 1 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.397537356226 0.569156726945 12 11 1 2 0132 2103 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.407629768901 0.177999182669 8 4 10 1 0132 0132 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 -16 0 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.781430018045 0.779783120556 7 5 12 2 0132 0321 3120 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.173006637090 0.504023505767 3 5 12 4 0132 1023 0132 3120 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 17 0 -17 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.867147557137 0.827811631137 12 7 11 3 1023 1230 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455559936575 2.040268910850 5 6 4 10 2103 2103 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.209776005713 0.392221907448 6 10 8 9 0132 1023 3120 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.663211671011 0.832861988111 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_12'], 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_0110_2'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0110_2'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : d['c_0110_2'], 'c_1010_10' : d['c_0101_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_12']), 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0110_2']), 'c_1100_6' : negation(d['c_0110_2']), 'c_1100_1' : negation(d['c_0110_2']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_12']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0110_2']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_0110_2'], 'c_1010_2' : d['c_0110_2'], 'c_1010_1' : d['c_0011_11'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0011_4']), 'c_1010_8' : d['c_1001_1'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_1']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_0'], 'c_0011_8' : d['c_0011_4'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_2'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_2, c_0110_2, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 302113822404146/6973382047593*c_1100_0^7 - 3668205253896160/39515831603027*c_1100_0^6 + 515883506607214/9119038062237*c_1100_0^5 + 755862842984168/118547494809081*c_1100_0^4 + 5733735197789629/39515831603027*c_1100_0^3 - 35570608403892917/118547494809081*c_1100_0^2 + 555714721346352/3039679354079*c_1100_0 + 4531820575586222/118547494809081, c_0011_0 - 1, c_0011_10 + 183413918/349000653*c_1100_0^7 - 78113379/116333551*c_1100_0^6 + 138501761/349000653*c_1100_0^5 - 188210804/349000653*c_1100_0^4 + 242627655/116333551*c_1100_0^3 - 770775499/349000653*c_1100_0^2 + 189566247/116333551*c_1100_0 - 273848033/349000653, c_0011_11 + 4897700/116333551*c_1100_0^7 - 174617671/349000653*c_1100_0^6 + 274718809/349000653*c_1100_0^5 - 54090032/349000653*c_1100_0^4 - 12263538/116333551*c_1100_0^3 - 145415707/116333551*c_1100_0^2 + 903138422/349000653*c_1100_0 - 200978123/349000653, c_0011_4 + 60497968/349000653*c_1100_0^7 - 108602428/349000653*c_1100_0^6 - 65461258/349000653*c_1100_0^5 + 18381038/116333551*c_1100_0^4 + 97328767/116333551*c_1100_0^3 - 387286271/349000653*c_1100_0^2 - 34553155/349000653*c_1100_0 + 50414633/116333551, c_0101_0 - 62727161/349000653*c_1100_0^7 + 602786/349000653*c_1100_0^6 + 72723269/349000653*c_1100_0^5 - 11783856/116333551*c_1100_0^4 - 62532177/116333551*c_1100_0^3 - 134112200/349000653*c_1100_0^2 + 254963345/349000653*c_1100_0 - 57637113/116333551, c_0101_1 + 7175530/349000653*c_1100_0^7 + 20823712/116333551*c_1100_0^6 - 243119339/349000653*c_1100_0^5 + 52120142/349000653*c_1100_0^4 + 8604150/116333551*c_1100_0^3 + 342387274/349000653*c_1100_0^2 - 219774637/116333551*c_1100_0 - 67694161/349000653, c_0101_10 - 142555387/349000653*c_1100_0^7 + 345883886/349000653*c_1100_0^6 - 80941500/116333551*c_1100_0^5 + 225532262/349000653*c_1100_0^4 - 176436090/116333551*c_1100_0^3 + 998747546/349000653*c_1100_0^2 - 718475944/349000653*c_1100_0 + 366431003/349000653, c_0101_11 + 7175530/349000653*c_1100_0^7 + 20823712/116333551*c_1100_0^6 - 243119339/349000653*c_1100_0^5 + 52120142/349000653*c_1100_0^4 + 8604150/116333551*c_1100_0^3 + 342387274/349000653*c_1100_0^2 - 219774637/116333551*c_1100_0 + 281306492/349000653, c_0101_12 - 45972743/116333551*c_1100_0^7 + 283822885/349000653*c_1100_0^6 - 136534282/349000653*c_1100_0^5 - 36404650/349000653*c_1100_0^4 - 147597406/116333551*c_1100_0^3 + 229807064/116333551*c_1100_0^2 - 264621269/349000653*c_1100_0 - 123177115/349000653, c_0101_2 + 137014577/349000653*c_1100_0^7 - 188713966/349000653*c_1100_0^6 - 1612548/116333551*c_1100_0^5 + 12637667/349000653*c_1100_0^4 + 88034244/116333551*c_1100_0^3 - 533413726/349000653*c_1100_0^2 + 209511659/349000653*c_1100_0 + 137827421/349000653, c_0110_2 + 60497968/349000653*c_1100_0^7 - 108602428/349000653*c_1100_0^6 - 65461258/349000653*c_1100_0^5 + 18381038/116333551*c_1100_0^4 + 97328767/116333551*c_1100_0^3 - 387286271/349000653*c_1100_0^2 - 34553155/349000653*c_1100_0 + 50414633/116333551, c_1001_1 - 116049599/349000653*c_1100_0^7 + 57225450/116333551*c_1100_0^6 - 104934812/349000653*c_1100_0^5 - 38374540/349000653*c_1100_0^4 - 151256794/116333551*c_1100_0^3 + 595561345/349000653*c_1100_0^2 - 123269137/116333551*c_1100_0 - 42848746/349000653, c_1100_0^8 - 38/17*c_1100_0^7 + 30/17*c_1100_0^6 - 8/17*c_1100_0^5 + 61/17*c_1100_0^4 - 124/17*c_1100_0^3 + 97/17*c_1100_0^2 - 19/17*c_1100_0 + 13/17 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_2, c_0110_2, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 3978700732391013606770651990995/132785755556858256889445303594*c_11\ 00_0^17 + 10140079957190090666931099443987/663928777784291284447226\ 51797*c_1100_0^16 - 55611795777832013936249157425628/66392877778429\ 128444722651797*c_1100_0^15 - 30223473248130601359796299963073/1896\ 9393650979750984206471942*c_1100_0^14 + 570255779598971489970763248113099/132785755556858256889445303594*c_\ 1100_0^13 + 1090270869869902891644245239451435/13278575555685825688\ 9445303594*c_1100_0^12 - 508666528833982298013568708287460/66392877\ 778429128444722651797*c_1100_0^11 - 176790210947524788007344672400122/9484696825489875492103235971*c_11\ 00_0^10 + 24912026465598862702857598531855/428341146957607280288533\ 2374*c_1100_0^9 + 1600452740778314871673835824947260/66392877778429\ 128444722651797*c_1100_0^8 - 193022592621781397748514681435313/1327\ 85755556858256889445303594*c_1100_0^7 - 2731859549199483378649693364518715/132785755556858256889445303594*c\ _1100_0^6 - 1081545212015386557695427421839/61191592422515325755504\ 7482*c_1100_0^5 + 1624098465504745012861019124820807/13278575555685\ 8256889445303594*c_1100_0^4 + 85734848301313083912193463197379/6639\ 2877778429128444722651797*c_1100_0^3 - 144649416849783733366031668286490/66392877778429128444722651797*c_1\ 100_0^2 - 31232095538834661529280005416749/132785755556858256889445\ 303594*c_1100_0 - 5368599289260690695725263638140/94846968254898754\ 92103235971, c_0011_0 - 1, c_0011_10 + 3974089365369825094658/145210233560786250013063*c_1100_0^17 + 21929929365407181613478/145210233560786250013063*c_1100_0^16 - 101540260127128434111871/145210233560786250013063*c_1100_0^15 - 250101621984296325352474/145210233560786250013063*c_1100_0^14 + 467289545857710208421504/145210233560786250013063*c_1100_0^13 + 1205936902906666212167896/145210233560786250013063*c_1100_0^12 - 578280197805516998407733/145210233560786250013063*c_1100_0^11 - 2358729993240993760085442/145210233560786250013063*c_1100_0^10 + 265398470959674637145049/145210233560786250013063*c_1100_0^9 + 2802042944983390664745042/145210233560786250013063*c_1100_0^8 - 17393860877266085007022/145210233560786250013063*c_1100_0^7 - 2435384241482848706933775/145210233560786250013063*c_1100_0^6 - 171821700503786559799806/145210233560786250013063*c_1100_0^5 + 1433767182066235222322147/145210233560786250013063*c_1100_0^4 - 85411233700358825252117/145210233560786250013063*c_1100_0^3 - 386291952354965190983680/145210233560786250013063*c_1100_0^2 + 272084264555826411718170/145210233560786250013063*c_1100_0 + 32861550097772280559340/145210233560786250013063, c_0011_11 - c_1100_0, c_0011_4 - 3645495065478791193294/145210233560786250013063*c_1100_0^17 - 19163048564744145195711/145210233560786250013063*c_1100_0^16 + 97943850745742582018863/145210233560786250013063*c_1100_0^15 + 204660993662988056622486/145210233560786250013063*c_1100_0^14 - 466191152693002760712621/145210233560786250013063*c_1100_0^13 - 1025382366131878769902347/145210233560786250013063*c_1100_0^12 + 669291516892154618391126/145210233560786250013063*c_1100_0^11 + 2164419721750247825595136/145210233560786250013063*c_1100_0^10 - 279132542044763077823678/145210233560786250013063*c_1100_0^9 - 2684696646108401471887078/145210233560786250013063*c_1100_0^8 - 179750084667655150601501/145210233560786250013063*c_1100_0^7 + 2366573450417525571000719/145210233560786250013063*c_1100_0^6 + 382600370294069540053316/145210233560786250013063*c_1100_0^5 - 1655162287363635279641317/145210233560786250013063*c_1100_0^4 - 184169808570885731278642/145210233560786250013063*c_1100_0^3 + 498177575159403128567240/145210233560786250013063*c_1100_0^2 + 1123376633737438229506/145210233560786250013063*c_1100_0 - 139110938389664382126914/145210233560786250013063, c_0101_0 - 1882851397728319444481/145210233560786250013063*c_1100_0^17 - 12502333083335890510166/145210233560786250013063*c_1100_0^16 + 37389015761180378997594/145210233560786250013063*c_1100_0^15 + 176508424359188793365518/145210233560786250013063*c_1100_0^14 - 116186101126563864011379/145210233560786250013063*c_1100_0^13 - 836948928309315799873067/145210233560786250013063*c_1100_0^12 - 249137914494317297320086/145210233560786250013063*c_1100_0^11 + 1452375882677270639553458/145210233560786250013063*c_1100_0^10 + 904401802455379016883353/145210233560786250013063*c_1100_0^9 - 1329860310325257508990761/145210233560786250013063*c_1100_0^8 - 982113913411461296585707/145210233560786250013063*c_1100_0^7 + 1025907513204042267806008/145210233560786250013063*c_1100_0^6 + 726404327691964313180451/145210233560786250013063*c_1100_0^5 - 519592074969893638710896/145210233560786250013063*c_1100_0^4 - 307020898650798631038934/145210233560786250013063*c_1100_0^3 + 189655572567752856005011/145210233560786250013063*c_1100_0^2 - 182273293735324721774037/145210233560786250013063*c_1100_0 - 36835226011803934217784/145210233560786250013063, c_0101_1 + 1, c_0101_10 + 3974089365369825094658/145210233560786250013063*c_1100_0^17 + 21929929365407181613478/145210233560786250013063*c_1100_0^16 - 101540260127128434111871/145210233560786250013063*c_1100_0^15 - 250101621984296325352474/145210233560786250013063*c_1100_0^14 + 467289545857710208421504/145210233560786250013063*c_1100_0^13 + 1205936902906666212167896/145210233560786250013063*c_1100_0^12 - 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