Magma V2.19-8 Tue Aug 20 2013 17:56:09 on localhost [Seed = 2901220198] Type ? for help. Type -D to quit. Loading file "11_153__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_153 geometric_solution 9.50421539 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 2 3 0132 0132 1023 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 1 0 -1 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 0.326083287863 0.772859186264 0 4 6 5 0132 0132 0132 0132 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 1 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.098928839788 0.538682833094 7 0 0 5 0132 0132 1023 2031 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 -1 1 0 0 0 0 0 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.231218850031 0.956472734615 4 7 0 8 0132 0132 0132 0132 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 1 -1 0 0 0 0 3 -2 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.151368976933 0.843124636623 3 1 7 9 0132 0132 1023 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 -1 0 0 1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.192167487062 0.673025662341 7 2 1 9 3012 1302 0132 2103 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 0 1 2 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.773053662978 0.419330706042 9 10 10 1 0132 0132 3120 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 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 0.215871080790 0.701526561581 2 3 4 5 0132 0132 1023 1230 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 1 0 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.602494203604 0.850233048590 10 10 3 9 3201 2031 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599303662525 1.302162025772 6 8 4 5 0132 1302 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1.973958489106 1.580763858064 8 6 6 8 1302 0132 3120 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 1 -1 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 0.215871080790 0.701526561581 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0110_8'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : negation(d['c_0110_8']), 'c_1001_1' : d['c_0110_8'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : d['c_0110_8'], 'c_1001_8' : d['c_0101_4'], 'c_1010_10' : negation(d['c_0110_8']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_8']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(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_1100_9' : negation(d['c_0110_5']), 'c_1100_8' : d['c_1010_5'], 'c_1100_5' : d['c_0011_8'], 'c_1100_4' : negation(d['c_0110_5']), 'c_1100_7' : d['c_0110_5'], 'c_1100_6' : d['c_0011_8'], 'c_1100_1' : d['c_0011_8'], 'c_1100_0' : d['c_1010_5'], 'c_1100_3' : d['c_1010_5'], 'c_1100_2' : negation(d['c_1010_5']), 'c_1100_10' : d['c_0011_8'], 'c_1010_7' : d['c_0101_0'], 'c_1010_6' : d['c_0110_8'], 'c_1010_5' : d['c_1010_5'], 'c_1010_4' : d['c_0110_8'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : negation(d['c_1010_5']), 'c_1010_8' : d['c_0011_10'], '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'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0101_4']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_8']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : d['c_0101_4'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0011_5'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_5, c_0011_8, c_0101_0, c_0101_1, c_0101_4, c_0101_7, c_0110_5, c_0110_8, c_1010_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 1295032326149595/3395623694336*c_1010_5^18 - 4062051964637543/3395623694336*c_1010_5^17 + 4995253788774729/848905923584*c_1010_5^16 - 28631896387624417/3395623694336*c_1010_5^15 + 2284219344650741/89358518272*c_1010_5^14 + 3780936641128371/1697811847168*c_1010_5^13 + 51295786542465059/1697811847168*c_1010_5^12 + 435393556123620135/3395623694336*c_1010_5^11 + 178776493813139129/1697811847168*c_1010_5^10 + 38804954642013275/212226480896*c_1010_5^9 + 96347522010966039/106113240448*c_1010_5^8 - 1551452068455093235/3395623694336*c_1010_5^7 + 4349230667984562815/1697811847168*c_1010_5^6 - 1315938194151577927/1697811847168*c_1010_5^5 + 215379330174331697/89358518272*c_1010_5^4 + 17671366236000639/178717036544*c_1010_5^3 + 1081933024171472311/3395623694336*c_1010_5^2 - 131660733717264097/3395623694336*c_1010_5 + 775821237062369/212226480896, c_0011_0 - 1, c_0011_10 + 99/2048*c_1010_5^18 - 307/2048*c_1010_5^17 + 1519/2048*c_1010_5^16 - 2141/2048*c_1010_5^15 + 3293/1024*c_1010_5^14 + 777/2048*c_1010_5^13 + 7943/2048*c_1010_5^12 + 16795/1024*c_1010_5^11 + 28419/2048*c_1010_5^10 + 6087/256*c_1010_5^9 + 118581/1024*c_1010_5^8 - 111313/2048*c_1010_5^7 + 165639/512*c_1010_5^6 - 183819/2048*c_1010_5^5 + 621079/2048*c_1010_5^4 + 5265/256*c_1010_5^3 + 20389/512*c_1010_5^2 - 2707/2048*c_1010_5 - 1351/2048, c_0011_5 + 25/512*c_1010_5^18 - 139/1024*c_1010_5^17 + 1429/2048*c_1010_5^16 - 415/512*c_1010_5^15 + 2945/1024*c_1010_5^14 + 2959/2048*c_1010_5^13 + 8009/2048*c_1010_5^12 + 36199/2048*c_1010_5^11 + 39127/2048*c_1010_5^10 + 221/8*c_1010_5^9 + 126571/1024*c_1010_5^8 - 18975/1024*c_1010_5^7 + 38889/128*c_1010_5^6 + 30631/2048*c_1010_5^5 + 547801/2048*c_1010_5^4 + 242723/2048*c_1010_5^3 + 86307/2048*c_1010_5^2 + 801/128*c_1010_5 - 1405/2048, c_0011_8 + 75/4096*c_1010_5^18 - 193/4096*c_1010_5^17 + 259/1024*c_1010_5^16 - 1045/4096*c_1010_5^15 + 267/256*c_1010_5^14 + 747/1024*c_1010_5^13 + 1735/1024*c_1010_5^12 + 28525/4096*c_1010_5^11 + 17757/2048*c_1010_5^10 + 3195/256*c_1010_5^9 + 25101/512*c_1010_5^8 + 14053/4096*c_1010_5^7 + 14939/128*c_1010_5^6 + 6923/256*c_1010_5^5 + 114959/1024*c_1010_5^4 + 254115/4096*c_1010_5^3 + 134571/4096*c_1010_5^2 + 25045/4096*c_1010_5 - 35/1024, c_0101_0 + 53/2048*c_1010_5^18 - 285/4096*c_1010_5^17 + 1485/4096*c_1010_5^16 - 799/2048*c_1010_5^15 + 6025/4096*c_1010_5^14 + 487/512*c_1010_5^13 + 539/256*c_1010_5^12 + 19767/2048*c_1010_5^11 + 45751/4096*c_1010_5^10 + 31957/2048*c_1010_5^9 + 34511/512*c_1010_5^8 - 5713/2048*c_1010_5^7 + 652607/4096*c_1010_5^6 + 14051/512*c_1010_5^5 + 141499/1024*c_1010_5^4 + 164121/2048*c_1010_5^3 + 99831/4096*c_1010_5^2 + 18275/4096*c_1010_5 - 1729/4096, c_0101_1 - 73/8192*c_1010_5^18 + 45/2048*c_1010_5^17 - 963/8192*c_1010_5^16 + 839/8192*c_1010_5^15 - 3719/8192*c_1010_5^14 - 469/1024*c_1010_5^13 - 367/512*c_1010_5^12 - 27915/8192*c_1010_5^11 - 36639/8192*c_1010_5^10 - 23551/4096*c_1010_5^9 - 6093/256*c_1010_5^8 - 30479/8192*c_1010_5^7 - 422009/8192*c_1010_5^6 - 46663/2048*c_1010_5^5 - 89145/2048*c_1010_5^4 - 320525/8192*c_1010_5^3 - 10327/1024*c_1010_5^2 - 9737/4096*c_1010_5 + 1623/8192, c_0101_4 + 73/8192*c_1010_5^18 - 45/2048*c_1010_5^17 + 963/8192*c_1010_5^16 - 839/8192*c_1010_5^15 + 3719/8192*c_1010_5^14 + 469/1024*c_1010_5^13 + 367/512*c_1010_5^12 + 27915/8192*c_1010_5^11 + 36639/8192*c_1010_5^10 + 23551/4096*c_1010_5^9 + 6093/256*c_1010_5^8 + 30479/8192*c_1010_5^7 + 422009/8192*c_1010_5^6 + 46663/2048*c_1010_5^5 + 89145/2048*c_1010_5^4 + 320525/8192*c_1010_5^3 + 10327/1024*c_1010_5^2 + 9737/4096*c_1010_5 - 1623/8192, c_0101_7 + 315/4096*c_1010_5^18 - 903/4096*c_1010_5^17 + 287/256*c_1010_5^16 - 5641/4096*c_1010_5^15 + 9599/2048*c_1010_5^14 + 3821/2048*c_1010_5^13 + 12649/2048*c_1010_5^12 + 112851/4096*c_1010_5^11 + 57835/2048*c_1010_5^10 + 21759/512*c_1010_5^9 + 98921/512*c_1010_5^8 - 174979/4096*c_1010_5^7 + 1004627/2048*c_1010_5^6 - 30629/2048*c_1010_5^5 + 898793/2048*c_1010_5^4 + 627833/4096*c_1010_5^3 + 264619/4096*c_1010_5^2 + 31039/4096*c_1010_5 - 1039/1024, c_0110_5 - 13/2048*c_1010_5^18 + 31/2048*c_1010_5^17 - 175/2048*c_1010_5^16 + 151/2048*c_1010_5^15 - 91/256*c_1010_5^14 - 643/2048*c_1010_5^13 - 1385/2048*c_1010_5^12 - 2635/1024*c_1010_5^11 - 7247/2048*c_1010_5^10 - 1331/256*c_1010_5^9 - 18681/1024*c_1010_5^8 - 10037/2048*c_1010_5^7 - 43693/1024*c_1010_5^6 - 35215/2048*c_1010_5^5 - 91097/2048*c_1010_5^4 - 15295/512*c_1010_5^3 - 18385/1024*c_1010_5^2 - 10309/2048*c_1010_5 + 19/2048, c_0110_8 + 185/4096*c_1010_5^18 - 571/4096*c_1010_5^17 + 1413/2048*c_1010_5^16 - 3947/4096*c_1010_5^15 + 3049/1024*c_1010_5^14 + 859/2048*c_1010_5^13 + 7339/2048*c_1010_5^12 + 63049/4096*c_1010_5^11 + 6759/512*c_1010_5^10 + 22833/1024*c_1010_5^9 + 13905/128*c_1010_5^8 - 200345/4096*c_1010_5^7 + 153929/512*c_1010_5^6 - 156939/2048*c_1010_5^5 + 571727/2048*c_1010_5^4 + 112891/4096*c_1010_5^3 + 141571/4096*c_1010_5^2 - 105/4096*c_1010_5 - 1023/2048, c_1010_5^19 - 3*c_1010_5^18 + 15*c_1010_5^17 - 20*c_1010_5^16 + 64*c_1010_5^15 + 15*c_1010_5^14 + 80*c_1010_5^13 + 347*c_1010_5^12 + 322*c_1010_5^11 + 517*c_1010_5^10 + 2446*c_1010_5^9 - 873*c_1010_5^8 + 6552*c_1010_5^7 - 1115*c_1010_5^6 + 6040*c_1010_5^5 + 1121*c_1010_5^4 + 869*c_1010_5^3 + 10*c_1010_5^2 - 5*c_1010_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.330 seconds, Total memory usage: 32.09MB