Magma V2.19-8 Tue Aug 20 2013 16:14:39 on localhost [Seed = 172725772] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s636 geometric_solution 5.12730533 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 0 1 -1 -1 0 1 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 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.573648320256 0.990893556188 0 3 2 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 1 0 -1 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 0.110686428698 0.874773687958 3 0 4 1 3201 0132 3201 0132 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 -1 0 0 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.110686428698 0.874773687958 3 1 3 2 2310 0132 3201 2310 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 -1 0 0 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.409953171689 0.977393322753 2 5 1 5 2310 0132 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.053120325704 1.726767712187 4 4 5 5 3201 0132 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.409985858108 0.132792141364 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : 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_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 12178934743880717095/491990723731946563*c_0110_5^16 - 127727836908748685957/1475972171195839689*c_0110_5^15 - 72345165219372718022/1475972171195839689*c_0110_5^14 + 344876898523917827318/1475972171195839689*c_0110_5^13 + 701699343401665583054/1475972171195839689*c_0110_5^12 - 357454467109941673633/491990723731946563*c_0110_5^11 - 1367136565926706319747/1475972171195839689*c_0110_5^10 + 1247924859596502396997/1475972171195839689*c_0110_5^9 + 1311451832750046484550/1475972171195839689*c_0110_5^8 - 108936741479097776842/1475972171195839689*c_0110_5^7 - 476748211086623828884/1475972171195839689*c_0110_5^6 - 259884181459972730074/1475972171195839689*c_0110_5^5 - 151775454027952521279/491990723731946563*c_0110_5^4 + 135069527360794003610/1475972171195839689*c_0110_5^3 + 282277738772838339982/1475972171195839689*c_0110_5^2 - 120705671778086953393/1475972171195839689*c_0110_5 + 23592813290673720361/1475972171195839689, c_0011_0 - 1, c_0011_4 - 1198386736809178965/491990723731946563*c_0110_5^16 + 3001147941010555788/491990723731946563*c_0110_5^15 + 5591616234401527904/491990723731946563*c_0110_5^14 - 6185250770417781924/491990723731946563*c_0110_5^13 - 30942185960787028720/491990723731946563*c_0110_5^12 + 5461604572978471810/491990723731946563*c_0110_5^11 + 57903640583387441758/491990723731946563*c_0110_5^10 + 18994733360141963762/491990723731946563*c_0110_5^9 - 40570923182321534173/491990723731946563*c_0110_5^8 - 45812584955410612808/491990723731946563*c_0110_5^7 - 18434205498283474491/491990723731946563*c_0110_5^6 + 4236966765470298511/491990723731946563*c_0110_5^5 + 24903417009772358791/491990723731946563*c_0110_5^4 + 18929982302479947507/491990723731946563*c_0110_5^3 + 2953543007246016681/491990723731946563*c_0110_5^2 + 963541280831275444/491990723731946563*c_0110_5 + 154000033286131280/491990723731946563, c_0101_0 - 895275190967580120/491990723731946563*c_0110_5^16 + 2750560331029569049/491990723731946563*c_0110_5^15 + 2806278368986307744/491990723731946563*c_0110_5^14 - 6806403078901831214/491990723731946563*c_0110_5^13 - 19844004860888883438/491990723731946563*c_0110_5^12 + 16821647848107803937/491990723731946563*c_0110_5^11 + 38000125273832075812/491990723731946563*c_0110_5^10 - 11096631669371317924/491990723731946563*c_0110_5^9 - 32372965066274630196/491990723731946563*c_0110_5^8 - 13606834343143401892/491990723731946563*c_0110_5^7 + 1717335501734207134/491990723731946563*c_0110_5^6 + 5730078795683293715/491990723731946563*c_0110_5^5 + 14416180705008196134/491990723731946563*c_0110_5^4 + 3351234977540122093/491990723731946563*c_0110_5^3 - 2805335690708117561/491990723731946563*c_0110_5^2 + 2261174562595876901/491990723731946563*c_0110_5 - 205783010646086131/491990723731946563, c_0101_1 + 566006529856415510/491990723731946563*c_0110_5^16 - 1862096404756654172/491990723731946563*c_0110_5^15 - 1366278409291637613/491990723731946563*c_0110_5^14 + 4622830870095874971/491990723731946563*c_0110_5^13 + 11488192005163099120/491990723731946563*c_0110_5^12 - 13390959332557600553/491990723731946563*c_0110_5^11 - 20891321259431150207/491990723731946563*c_0110_5^10 + 12577028277728780188/491990723731946563*c_0110_5^9 + 18005450565885218899/491990723731946563*c_0110_5^8 + 2085917299234761114/491990723731946563*c_0110_5^7 - 2427812213859259509/491990723731946563*c_0110_5^6 - 805705071533577947/491990723731946563*c_0110_5^5 - 7322510168460154005/491990723731946563*c_0110_5^4 - 839466966742728677/491990723731946563*c_0110_5^3 + 1672769770718773096/491990723731946563*c_0110_5^2 - 1851331364732435292/491990723731946563*c_0110_5 - 40640136894703156/491990723731946563, c_0101_2 - 787867397750726510/491990723731946563*c_0110_5^16 + 1718401295021449762/491990723731946563*c_0110_5^15 + 4453526624163008810/491990723731946563*c_0110_5^14 - 3306133371182079859/491990723731946563*c_0110_5^13 - 22048461902450680342/491990723731946563*c_0110_5^12 - 2102935712679578150/491990723731946563*c_0110_5^11 + 42280660961091972297/491990723731946563*c_0110_5^10 + 22560906174125083998/491990723731946563*c_0110_5^9 - 27704603395869028144/491990723731946563*c_0110_5^8 - 38402091000301644860/491990723731946563*c_0110_5^7 - 17997917829485006264/491990723731946563*c_0110_5^6 + 1992930872440344087/491990723731946563*c_0110_5^5 + 18124253385711497356/491990723731946563*c_0110_5^4 + 17259949372824845761/491990723731946563*c_0110_5^3 + 3855904466307435581/491990723731946563*c_0110_5^2 + 376124435307449034/491990723731946563*c_0110_5 + 280357837106669002/491990723731946563, c_0110_5^17 - 11/5*c_0110_5^16 - 29/5*c_0110_5^15 + 24/5*c_0110_5^14 + 144/5*c_0110_5^13 + 4/5*c_0110_5^12 - 293/5*c_0110_5^11 - 128/5*c_0110_5^10 + 231/5*c_0110_5^9 + 241/5*c_0110_5^8 + 64/5*c_0110_5^7 - 42/5*c_0110_5^6 - 114/5*c_0110_5^5 - 96/5*c_0110_5^4 - 4/5*c_0110_5^3 + 7/5*c_0110_5^2 - c_0110_5 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB