Magma V2.19-8 Tue Aug 20 2013 16:15:48 on localhost [Seed = 2665415349] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0032 geometric_solution 3.60047221 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 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 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 3.495995779193 0.274313603130 0 1 1 0 0132 3201 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.533599219643 0.020902330506 0 3 3 0 3201 0132 3201 0132 0 0 0 0 0 -1 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 0 0 0 0 1 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 0 0 0 -0.764169888669 0.279307307858 2 2 4 4 2310 0132 0132 3201 0 0 0 0 0 1 -1 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 -1 0 1 0 0 -1 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 0.349969902484 0.251188315568 5 3 6 3 0132 2310 0132 0132 0 0 0 0 0 0 -1 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 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 0.991085308739 0.513437233595 4 6 6 6 0132 1230 3012 2310 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.995281558951 0.978150727063 5 5 5 4 3201 1230 3012 0132 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 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 0.995281558951 0.978150727063 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], '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' : negation(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' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(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_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), '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_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 3261124973710157/4463091798284*c_0101_4^12 + 21985181189682433/2231545899142*c_0101_4^11 + 233213005878675243/4463091798284*c_0101_4^10 + 856139483822824119/4463091798284*c_0101_4^9 + 380486703762087371/637584542612*c_0101_4^8 + 1935671208115238259/2231545899142*c_0101_4^7 + 922933282695071061/4463091798284*c_0101_4^6 - 455478093225713590/1115772949571*c_0101_4^5 - 475461577922870515/4463091798284*c_0101_4^4 + 48705385655262025/637584542612*c_0101_4^3 - 13003808007029071/1115772949571*c_0101_4^2 - 432537888571231/318792271306*c_0101_4 + 6634868354487201/4463091798284, c_0011_0 - 1, c_0011_2 - 1677883339376/159396135653*c_0101_4^12 - 45225545321521/318792271306*c_0101_4^11 - 239695014884419/318792271306*c_0101_4^10 - 439720745269461/159396135653*c_0101_4^9 - 2735018583268137/318792271306*c_0101_4^8 - 1983002699618935/159396135653*c_0101_4^7 - 461553150718058/159396135653*c_0101_4^6 + 1880578390204589/318792271306*c_0101_4^5 + 475032591004923/318792271306*c_0101_4^4 - 175792726622584/159396135653*c_0101_4^3 + 58427534359903/318792271306*c_0101_4^2 + 5390204979731/318792271306*c_0101_4 - 6982074707703/318792271306, c_0011_4 - 4027514732077/637584542612*c_0101_4^12 - 13548661835631/159396135653*c_0101_4^11 - 286551949427865/637584542612*c_0101_4^10 - 1049551593021635/637584542612*c_0101_4^9 - 3260565696248471/637584542612*c_0101_4^8 - 2345573647102473/318792271306*c_0101_4^7 - 1006774324079453/637584542612*c_0101_4^6 + 1147918871862597/318792271306*c_0101_4^5 + 547907758630073/637584542612*c_0101_4^4 - 433922522408795/637584542612*c_0101_4^3 + 35090196488529/318792271306*c_0101_4^2 + 1585513694779/159396135653*c_0101_4 - 8606351795315/637584542612, c_0101_0 - 2532860179075/637584542612*c_0101_4^12 - 8534930588485/159396135653*c_0101_4^11 - 180996598803523/637584542612*c_0101_4^10 - 664347505052113/637584542612*c_0101_4^9 - 2066650901573193/637584542612*c_0101_4^8 - 1500546888518259/318792271306*c_0101_4^7 - 714216728211219/637584542612*c_0101_4^6 + 703224829517091/318792271306*c_0101_4^5 + 362216104555075/637584542612*c_0101_4^4 - 266819183033005/637584542612*c_0101_4^3 + 19587868196209/318792271306*c_0101_4^2 + 1381345709954/159396135653*c_0101_4 - 4772973807881/637584542612, c_0101_1 + 3012903795671/318792271306*c_0101_4^12 + 40626460332977/318792271306*c_0101_4^11 + 107749759404639/159396135653*c_0101_4^10 + 791156870772043/318792271306*c_0101_4^9 + 1230644219197663/159396135653*c_0101_4^8 + 1789216586399581/159396135653*c_0101_4^7 + 854153830613093/318792271306*c_0101_4^6 - 1686269143332175/318792271306*c_0101_4^5 - 221646197839498/159396135653*c_0101_4^4 + 316321257680449/318792271306*c_0101_4^3 - 47135356420021/318792271306*c_0101_4^2 - 6725662700991/318792271306*c_0101_4 + 3141971399630/159396135653, c_0101_3 + 1225112136317/318792271306*c_0101_4^12 + 16542879505527/318792271306*c_0101_4^11 + 43972093858433/159396135653*c_0101_4^10 + 323420032577925/318792271306*c_0101_4^9 + 503627613890860/159396135653*c_0101_4^8 + 737695921121486/159396135653*c_0101_4^7 + 379194972209145/318792271306*c_0101_4^6 - 670744879782095/318792271306*c_0101_4^5 - 93751658249431/159396135653*c_0101_4^4 + 122837672844581/318792271306*c_0101_4^3 - 19068752608747/318792271306*c_0101_4^2 - 2805231888269/318792271306*c_0101_4 + 1290394389779/159396135653, c_0101_4^13 + 13*c_0101_4^12 + 65*c_0101_4^11 + 228*c_0101_4^10 + 690*c_0101_4^9 + 793*c_0101_4^8 - 289*c_0101_4^7 - 693*c_0101_4^6 + 125*c_0101_4^5 + 174*c_0101_4^4 - 67*c_0101_4^3 + 6*c_0101_4^2 + 3*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB