Magma V2.19-8 Tue Aug 20 2013 16:14:40 on localhost [Seed = 3852761596] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s651 geometric_solution 5.14525647 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 1 0 0 -1 1 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 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 0.518853216745 0.251570724872 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 1 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.920669508661 0.505040945725 1 4 5 3 0132 0132 0132 2310 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 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 0.467342957143 1.088732834049 2 5 4 1 3201 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467342957143 1.088732834049 4 2 3 4 3012 0132 1023 1230 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.878575658767 0.888414275734 3 5 5 2 1023 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.332924961998 0.775589600447 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : 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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0011_1'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 27412806877321731073/2340989186001321480*c_0101_4^21 + 355408707889185438563/2340989186001321480*c_0101_4^19 - 350749335974513886889/195082432166776790*c_0101_4^17 + 2135800759332344403007/468197837200264296*c_0101_4^15 - 19148603739344890344763/2340989186001321480*c_0101_4^13 + 10882261281208805217991/390164864333553580*c_0101_4^11 - 26871029751067333647949/780329728667107160*c_0101_4^9 + 12299275290760701687813/780329728667107160*c_0101_4^7 - 2349891953150901907123/468197837200264296*c_0101_4^5 + 6163756927579065716501/2340989186001321480*c_0101_4^3 - 1369604043918879879169/2340989186001321480*c_0101_4, c_0011_0 - 1, c_0011_1 - 10938958871971/120570106407155*c_0101_4^20 + 139504874952557/120570106407155*c_0101_4^18 - 1649746886892999/120570106407155*c_0101_4^16 + 3908619869856447/120570106407155*c_0101_4^14 - 1355401836293069/24114021281431*c_0101_4^12 + 24560896767045681/120570106407155*c_0101_4^10 - 26855901040802329/120570106407155*c_0101_4^8 + 8560400430655642/120570106407155*c_0101_4^6 - 2700666688401526/120570106407155*c_0101_4^4 + 1894995277868469/120570106407155*c_0101_4^2 - 125738683378639/120570106407155, c_0011_3 + 6955341287216773/97541216083388395*c_0101_4^21 - 84666033170718038/97541216083388395*c_0101_4^19 + 999131755826944233/97541216083388395*c_0101_4^17 - 379253561811871096/19508243216677679*c_0101_4^15 + 3099602799580625463/97541216083388395*c_0101_4^13 - 13532764360360874671/97541216083388395*c_0101_4^11 + 8743628264757470992/97541216083388395*c_0101_4^9 + 1281955568290454401/97541216083388395*c_0101_4^7 + 66398404185341648/19508243216677679*c_0101_4^5 - 434390815632610376/97541216083388395*c_0101_4^3 - 195194065568269186/97541216083388395*c_0101_4, c_0101_0 + 304941755910099/97541216083388395*c_0101_4^21 - 2969073867297828/97541216083388395*c_0101_4^19 + 33550955663119441/97541216083388395*c_0101_4^17 + 38316729833260462/97541216083388395*c_0101_4^15 - 48164017772521660/19508243216677679*c_0101_4^13 + 71387395724911741/97541216083388395*c_0101_4^11 - 1643486261093801134/97541216083388395*c_0101_4^9 + 3416546635253163397/97541216083388395*c_0101_4^7 - 1485160520158434801/97541216083388395*c_0101_4^5 + 374784080546722859/97541216083388395*c_0101_4^3 - 375835154300829659/97541216083388395*c_0101_4, c_0101_1 - 3116702957851/24114021281431*c_0101_4^20 + 196131887022698/120570106407155*c_0101_4^18 - 2318951187044364/120570106407155*c_0101_4^16 + 5198982307855921/120570106407155*c_0101_4^14 - 9003758023607882/120570106407155*c_0101_4^12 + 33886773244521167/120570106407155*c_0101_4^10 - 6660448617899826/24114021281431*c_0101_4^8 + 9624688904507617/120570106407155*c_0101_4^6 - 4028807032315353/120570106407155*c_0101_4^4 + 2312303126966126/120570106407155*c_0101_4^2 - 129537199002403/120570106407155, c_0101_4^22 - 13*c_0101_4^20 + 154*c_0101_4^18 - 395*c_0101_4^16 + 713*c_0101_4^14 - 2408*c_0101_4^12 + 3027*c_0101_4^10 - 1461*c_0101_4^8 + 485*c_0101_4^6 - 243*c_0101_4^4 + 59*c_0101_4^2 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB