Magma V2.19-8 Tue Aug 20 2013 16:17:11 on localhost [Seed = 3515895040] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1417 geometric_solution 5.25294205 oriented_manifold CS_known -0.0000000000000000 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.856852800621 0.857483466916 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 -0.682940506940 0.150074294957 0 3 4 0 3201 0132 0132 0132 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.759073594495 0.496015814934 5 2 4 6 0132 0132 1302 0132 0 0 0 0 0 0 0 0 0 0 1 -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 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 0.494075773235 0.527515260760 3 6 5 2 2031 1023 0132 0132 0 0 0 0 0 1 0 -1 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.494075773235 0.527515260760 3 5 5 4 0132 3201 2310 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 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 0.045253940750 1.065964033040 4 6 3 6 1023 1302 0132 2031 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 0 0 0 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.531031285720 0.478260604963 ==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' : 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' : 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_1_6' : 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' : d['1'], 's_0_6' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : 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' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), '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' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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' : negation(d['c_0101_5']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0110_6'], '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' : d['c_0110_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : d['c_0110_6'], '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_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 1207185924/279433615*c_0110_6^11 - 1812395091/1117734460*c_0110_6^10 + 41644071/223546892*c_0110_6^9 - 5111279747/223546892*c_0110_6^8 + 6818654430/55886723*c_0110_6^7 - 11367407727/111773446*c_0110_6^6 + 281056054409/1117734460*c_0110_6^5 - 151311536171/1117734460*c_0110_6^4 - 3177855503/223546892*c_0110_6^3 - 126185634161/1117734460*c_0110_6^2 + 2404130082/55886723*c_0110_6 - 70796199323/1117734460, c_0011_0 - 1, c_0011_2 - 35100449/894187568*c_0110_6^11 - 10242149/223546892*c_0110_6^10 + 5841917/223546892*c_0110_6^9 - 165706217/894187568*c_0110_6^8 + 419100823/447093784*c_0110_6^7 + 175061973/894187568*c_0110_6^6 + 301512011/447093784*c_0110_6^5 + 488805579/447093784*c_0110_6^4 - 614836931/223546892*c_0110_6^3 - 1182355203/894187568*c_0110_6^2 + 300416855/894187568*c_0110_6 + 32915751/894187568, c_0011_4 + 11169859/894187568*c_0101_5*c_0110_6^11 + 16330315/223546892*c_0101_5*c_0110_6^10 + 9659005/223546892*c_0101_5*c_0110_6^9 + 62445835/894187568*c_0101_5*c_0110_6^8 + 4224579/447093784*c_0101_5*c_0110_6^7 - 1391356047/894187568*c_0101_5*c_0110_6^6 + 177878647/447093784*c_0101_5*c_0110_6^5 - 1342049713/447093784*c_0101_5*c_0110_6^4 + 238795285/223546892*c_0101_5*c_0110_6^3 + 1637928985/894187568*c_0101_5*c_0110_6^2 + 1012400715/894187568*c_0101_5*c_0110_6 - 68460757/894187568*c_0101_5, c_0101_0 + 35991053/894187568*c_0110_6^11 + 6954857/223546892*c_0110_6^10 - 2192029/223546892*c_0110_6^9 + 152587077/894187568*c_0110_6^8 - 471887523/447093784*c_0110_6^7 + 438893359/894187568*c_0110_6^6 - 782653415/447093784*c_0110_6^5 + 442129937/447093784*c_0110_6^4 + 160834723/223546892*c_0110_6^3 + 1416685159/894187568*c_0110_6^2 - 565323995/894187568*c_0110_6 - 489023323/894187568, c_0101_1 + 6413637/111773446*c_0110_6^11 + 11333099/223546892*c_0110_6^10 - 3521787/223546892*c_0110_6^9 + 64859369/223546892*c_0110_6^8 - 82297198/55886723*c_0110_6^7 + 22575730/55886723*c_0110_6^6 - 419510385/223546892*c_0110_6^5 - 82108077/223546892*c_0110_6^4 + 541713627/223546892*c_0110_6^3 + 244016579/223546892*c_0110_6^2 - 121887655/111773446*c_0110_6 - 11841039/223546892, c_0101_5^2 - 18062443/894187568*c_0110_6^11 + 246249/223546892*c_0110_6^10 + 13051915/223546892*c_0110_6^9 - 63950803/894187568*c_0110_6^8 + 248043293/447093784*c_0110_6^7 - 450400585/894187568*c_0110_6^6 + 60785977/447093784*c_0110_6^5 - 150077007/447093784*c_0110_6^4 - 352481325/223546892*c_0110_6^3 + 155156927/894187568*c_0110_6^2 + 455915149/894187568*c_0110_6 - 211047251/894187568, c_0110_6^12 + c_0110_6^11 + 5*c_0110_6^9 - 25*c_0110_6^8 + 5*c_0110_6^7 - 39*c_0110_6^6 - 4*c_0110_6^5 + 30*c_0110_6^4 + 31*c_0110_6^3 - 2*c_0110_6 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB