Magma V2.19-8 Tue Aug 20 2013 23:59:56 on localhost [Seed = 3069239266] Type ? for help. Type -D to quit. Loading file "K13n1456__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1456 geometric_solution 11.57581797 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 1 -1 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 -7 6 1 0 0 0 0 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.368017267286 0.536101921023 0 3 6 5 0132 2103 0132 0132 0 0 0 0 0 1 -1 0 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 -6 6 0 0 0 0 0 6 -6 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.101921529837 0.718708834826 4 0 7 5 1023 0132 0132 3201 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 7 0 -7 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 0.047660415495 1.048528202128 8 1 9 0 0132 2103 0132 0132 0 0 0 0 0 -1 0 1 0 0 0 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 -6 0 0 0 0 0 6 0 -6 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.360237738135 0.889662271425 6 2 0 10 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 0 -1 1 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 0.712661693935 1.113487759357 10 2 1 11 0213 2310 0132 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 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.581141121964 0.636603139387 4 9 7 1 0132 3120 3120 0132 0 0 0 0 0 0 -1 1 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 6 -6 0 0 0 0 -1 7 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.667282376543 0.375060001528 8 12 6 2 3012 0132 3120 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 0 0 0 0 0 0 0 -1 0 1 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.016972980667 0.690374537607 3 11 10 7 0132 3120 0213 1230 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 6 0 0 -6 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.867778773252 0.669697546864 11 6 12 3 3120 3120 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 1 0 -1 0 7 -7 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.199231679742 0.659505628302 5 8 4 12 0213 0213 0132 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 1 -1 0 0 0 0 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.146657660931 0.668454779758 12 8 5 9 0321 3120 0132 3120 0 0 0 0 0 -1 0 1 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 7 0 -7 1 0 0 -1 7 0 0 -7 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.916003779173 0.793271995650 11 7 10 9 0321 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 0 0 -1 0 0 1 -7 0 0 7 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.262912042089 1.219276236182 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : negation(d['c_0110_2']), 'c_1001_10' : d['c_0110_2'], 'c_1001_12' : d['c_0101_2'], 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : d['c_0101_2'], 'c_1001_7' : negation(d['c_1001_6']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : negation(d['c_1001_6']), 'c_1001_8' : d['c_0110_2'], 'c_1010_12' : negation(d['c_1001_6']), 'c_1010_11' : d['c_0011_3'], 'c_1010_10' : d['c_0101_2'], 's_0_10' : d['1'], 's_0_11' : 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_0011_5'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_2'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_5']), 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : d['c_0011_11'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_5']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0110_2']), 'c_1010_4' : d['c_0110_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : negation(d['c_0011_0']), 'c_1010_8' : negation(d['c_0011_11']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : 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' : d['c_1100_0'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_12']), 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : negation(d['c_0101_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_12']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_10'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_12']), 'c_0110_8' : negation(d['c_0011_12']), 'c_0110_1' : d['c_0011_10'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0011_10'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0011_5'], 'c_0110_7' : d['c_0101_2'], '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_12, c_0011_3, c_0011_5, c_0101_1, c_0101_11, c_0101_2, c_0110_2, c_1001_0, c_1001_6, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 59/561*c_1100_0^5 - 757/1496*c_1100_0^4 + 6217/4488*c_1100_0^3 - 2171/1122*c_1100_0^2 + 2897/2244*c_1100_0 - 109/408, c_0011_0 - 1, c_0011_10 + 2*c_1100_0^5 - 10*c_1100_0^4 + 29*c_1100_0^3 - 45*c_1100_0^2 + 39*c_1100_0 - 15, c_0011_11 - c_1100_0^4 + 4*c_1100_0^3 - 11*c_1100_0^2 + 13*c_1100_0 - 8, c_0011_12 + c_1100_0^2 - 2*c_1100_0 + 3, c_0011_3 - c_1100_0^5 + 6*c_1100_0^4 - 19*c_1100_0^3 + 34*c_1100_0^2 - 33*c_1100_0 + 15, c_0011_5 + c_1100_0^5 - 5*c_1100_0^4 + 15*c_1100_0^3 - 24*c_1100_0^2 + 22*c_1100_0 - 8, c_0101_1 - c_1100_0^5 + 5*c_1100_0^4 - 14*c_1100_0^3 + 21*c_1100_0^2 - 17*c_1100_0 + 7, c_0101_11 + c_1100_0^4 - 4*c_1100_0^3 + 10*c_1100_0^2 - 11*c_1100_0 + 7, c_0101_2 + c_1100_0^4 - 4*c_1100_0^3 + 10*c_1100_0^2 - 11*c_1100_0 + 6, c_0110_2 - c_1100_0^5 + 5*c_1100_0^4 - 15*c_1100_0^3 + 24*c_1100_0^2 - 23*c_1100_0 + 10, c_1001_0 - c_1100_0^5 + 6*c_1100_0^4 - 19*c_1100_0^3 + 34*c_1100_0^2 - 34*c_1100_0 + 16, c_1001_6 + c_1100_0 - 1, c_1100_0^6 - 6*c_1100_0^5 + 20*c_1100_0^4 - 39*c_1100_0^3 + 47*c_1100_0^2 - 33*c_1100_0 + 11 ], 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_12, c_0011_3, c_0011_5, c_0101_1, c_0101_11, c_0101_2, c_0110_2, c_1001_0, c_1001_6, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 2169772590529538459225617/77504989166200448441875*c_1100_0^14 - 15109545326285725684559534/232514967498601345325625*c_1100_0^13 - 758195309012722096234481/7045908106018222585625*c_1100_0^12 - 30353734210556563451809283/77504989166200448441875*c_1100_0^11 + 903091816649044938916578/541992931232170968125*c_1100_0^10 - 70008818596375718973731234/46502993499720269065125*c_1100_0^9 + 283340349407373038596229858/46502993499720269065125*c_1100_0^8 - 1664588589064386916037010458/232514967498601345325625*c_1100_0^7 + 2256991563906075952281401578/232514967498601345325625*c_1100_0^6 - 691984283350329354654729289/77504989166200448441875*c_1100_0^5 + 278320063198949020207173406/46502993499720269065125*c_1100_0^4 - 322692006851885979134411722/77504989166200448441875*c_1100_0^3 - 101400872573944139682749902/232514967498601345325625*c_1100_0^2 - 178057648337420701264347004/232514967498601345325625*c_1100_0 - 9219546502327551947294456/232514967498601345325625, c_0011_0 - 1, c_0011_10 - 7201670198043188/1523439590490426505*c_1100_0^14 + 43189752493651913/1523439590490426505*c_1100_0^13 - 13363788976558529/1523439590490426505*c_1100_0^12 - 45882200987136053/1523439590490426505*c_1100_0^11 - 13893551367385335/23437532161391177*c_1100_0^10 + 1702046500886188683/1523439590490426505*c_1100_0^9 - 1695627013615561881/1523439590490426505*c_1100_0^8 + 6959715748086184144/1523439590490426505*c_1100_0^7 - 1207938890126724893/304687918098085301*c_1100_0^6 + 6983032514117263039/1523439590490426505*c_1100_0^5 - 6680966286902958082/1523439590490426505*c_1100_0^4 + 680338695691968403/304687918098085301*c_1100_0^3 - 2250545922410649368/1523439590490426505*c_1100_0^2 + 118021372993900968/1523439590490426505*c_1100_0 - 999898033869943243/1523439590490426505, c_0011_11 + 18043790703812017/1523439590490426505*c_1100_0^14 - 50321650745046068/1523439590490426505*c_1100_0^13 - 9821809078947906/304687918098085301*c_1100_0^12 - 214556419960863498/1523439590490426505*c_1100_0^11 + 91080726227915078/117187660806955885*c_1100_0^10 - 1532275185498778884/1523439590490426505*c_1100_0^9 + 4266916940152916726/1523439590490426505*c_1100_0^8 - 6197651821022312544/1523439590490426505*c_1100_0^7 + 8879408566053685007/1523439590490426505*c_1100_0^6 - 7710871626336010992/1523439590490426505*c_1100_0^5 + 6348850622635307824/1523439590490426505*c_1100_0^4 - 4636275169320992632/1523439590490426505*c_1100_0^3 + 994303953777645633/1523439590490426505*c_1100_0^2 + 767543714331356259/1523439590490426505*c_1100_0 - 44914514948872099/304687918098085301, c_0011_12 + 18043790703812017/1523439590490426505*c_1100_0^14 - 50321650745046068/1523439590490426505*c_1100_0^13 - 9821809078947906/304687918098085301*c_1100_0^12 - 214556419960863498/1523439590490426505*c_1100_0^11 + 91080726227915078/117187660806955885*c_1100_0^10 - 1532275185498778884/1523439590490426505*c_1100_0^9 + 4266916940152916726/1523439590490426505*c_1100_0^8 - 6197651821022312544/1523439590490426505*c_1100_0^7 + 8879408566053685007/1523439590490426505*c_1100_0^6 - 7710871626336010992/1523439590490426505*c_1100_0^5 + 6348850622635307824/1523439590490426505*c_1100_0^4 - 4636275169320992632/1523439590490426505*c_1100_0^3 + 994303953777645633/1523439590490426505*c_1100_0^2 + 767543714331356259/1523439590490426505*c_1100_0 - 44914514948872099/304687918098085301, c_0011_3 - 31733120942173753/1523439590490426505*c_1100_0^14 + 82239271853577414/1523439590490426505*c_1100_0^13 + 121738414888440392/1523439590490426505*c_1100_0^12 + 364962189066675997/1523439590490426505*c_1100_0^11 - 161858592179056523/117187660806955885*c_1100_0^10 + 397029351782189326/304687918098085301*c_1100_0^9 - 6099982198659515203/1523439590490426505*c_1100_0^8 + 9209509835754437657/1523439590490426505*c_1100_0^7 - 10036092890354793242/1523439590490426505*c_1100_0^6 + 1754449975243654163/304687918098085301*c_1100_0^5 - 6699689172698984258/1523439590490426505*c_1100_0^4 + 3963268855903164627/1523439590490426505*c_1100_0^3 - 1825411467684457994/1523439590490426505*c_1100_0^2 + 1407487915856233142/1523439590490426505*c_1100_0 - 1354382504657006636/1523439590490426505, c_0011_5 + 32010251806878081/1523439590490426505*c_1100_0^14 - 28685188439974065/304687918098085301*c_1100_0^13 + 40778998578479974/1523439590490426505*c_1100_0^12 - 186203339699100524/1523439590490426505*c_1100_0^11 + 220264364763917207/117187660806955885*c_1100_0^10 - 5909376506228570269/1523439590490426505*c_1100_0^9 + 2148097875857134845/304687918098085301*c_1100_0^8 - 4689215498487420789/304687918098085301*c_1100_0^7 + 29876115687778362638/1523439590490426505*c_1100_0^6 - 33802811082449381042/1523439590490426505*c_1100_0^5 + 31071488831075855703/1523439590490426505*c_1100_0^4 - 19459536640812591078/1523439590490426505*c_1100_0^3 + 1898764971327952451/304687918098085301*c_1100_0^2 - 867551397872891347/1523439590490426505*c_1100_0 + 889383630095368888/1523439590490426505, c_0101_1 - 7201670198043188/1523439590490426505*c_1100_0^14 + 43189752493651913/1523439590490426505*c_1100_0^13 - 13363788976558529/1523439590490426505*c_1100_0^12 - 45882200987136053/1523439590490426505*c_1100_0^11 - 13893551367385335/23437532161391177*c_1100_0^10 + 1702046500886188683/1523439590490426505*c_1100_0^9 - 1695627013615561881/1523439590490426505*c_1100_0^8 + 6959715748086184144/1523439590490426505*c_1100_0^7 - 1207938890126724893/304687918098085301*c_1100_0^6 + 6983032514117263039/1523439590490426505*c_1100_0^5 - 6680966286902958082/1523439590490426505*c_1100_0^4 + 680338695691968403/304687918098085301*c_1100_0^3 - 2250545922410649368/1523439590490426505*c_1100_0^2 + 118021372993900968/1523439590490426505*c_1100_0 - 999898033869943243/1523439590490426505, c_0101_11 + 38723891825394174/1523439590490426505*c_1100_0^14 - 23886983543300773/304687918098085301*c_1100_0^13 - 63078400211901574/1523439590490426505*c_1100_0^12 - 463137996902817491/1523439590490426505*c_1100_0^11 + 203066504159583918/117187660806955885*c_1100_0^10 - 4107609622907017966/1523439590490426505*c_1100_0^9 + 2196898232541970913/304687918098085301*c_1100_0^8 - 3378186798497739987/304687918098085301*c_1100_0^7 + 24575509620968258692/1523439590490426505*c_1100_0^6 - 26298021043214708273/1523439590490426505*c_1100_0^5 + 22051171657990582102/1523439590490426505*c_1100_0^4 - 16672487135430246447/1523439590490426505*c_1100_0^3 + 1112887344541358980/304687918098085301*c_1100_0^2 - 2195355939530037653/1523439590490426505*c_1100_0 + 278126365461488322/1523439590490426505, c_0101_2 - 8760254510130620/304687918098085301*c_1100_0^14 + 22937863179462095/304687918098085301*c_1100_0^13 + 26685626282199640/304687918098085301*c_1100_0^12 + 117214725900667506/304687918098085301*c_1100_0^11 - 43188063467564463/23437532161391177*c_1100_0^10 + 629737566699942657/304687918098085301*c_1100_0^9 - 2123512093517794138/304687918098085301*c_1100_0^8 + 3042669795478153403/304687918098085301*c_1100_0^7 - 4090520154688833298/304687918098085301*c_1100_0^6 + 4337142527408361495/304687918098085301*c_1100_0^5 - 3833045270349200367/304687918098085301*c_1100_0^4 + 2792574788918523250/304687918098085301*c_1100_0^3 - 1083965760982252605/304687918098085301*c_1100_0^2 + 624562325548157327/304687918098085301*c_1100_0 - 162546755694945210/304687918098085301, c_0110_2 - 36526733425392016/1523439590490426505*c_1100_0^14 + 49622489341769277/1523439590490426505*c_1100_0^13 + 247061493594688193/1523439590490426505*c_1100_0^12 + 587668437028634674/1523439590490426505*c_1100_0^11 - 138052137961902373/117187660806955885*c_1100_0^10 - 449219388767809302/1523439590490426505*c_1100_0^9 - 4458406727997084344/1523439590490426505*c_1100_0^8 + 578622293085358896/1523439590490426505*c_1100_0^7 + 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68*c_1100_0^11 - 98*c_1100_0^10 + 270*c_1100_0^9 - 418*c_1100_0^8 + 580*c_1100_0^7 - 624*c_1100_0^6 + 528*c_1100_0^5 - 386*c_1100_0^4 + 152*c_1100_0^3 - 66*c_1100_0^2 + 20*c_1100_0 - 11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 7.640 Total time: 7.849 seconds, Total memory usage: 142.75MB