Magma V2.19-8 Tue Aug 20 2013 16:17:30 on localhost [Seed = 3069651567] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1745 geometric_solution 5.44216343 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 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 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 0.475673000001 0.504176667011 0 3 2 4 0132 0132 1230 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 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 1.009961131624 1.049364788138 3 0 4 1 2310 0132 2310 3012 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 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 1.009961131624 1.049364788138 3 1 2 3 3012 0132 3201 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 0.141926675605 0.624832296986 5 2 1 5 0132 3201 0132 1023 0 0 0 0 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.643554174190 0.316702388814 4 6 6 4 0132 0132 1023 1023 0 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.104925926084 0.375752710664 6 5 5 6 3201 0132 1023 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.191764138514 0.199397902204 ==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' : negation(d['1']), 's_2_0' : negation(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' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_4']), '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_6' : 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' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_4']), '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' : d['c_0011_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_4']), '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t - 51254271525/1214837932*c_0101_6^13 + 115266774197/607418966*c_0101_6^12 + 106003522420/303709483*c_0101_6^11 - 614199905304/303709483*c_0101_6^10 - 668211479503/607418966*c_0101_6^9 + 4299253915237/607418966*c_0101_6^8 + 3200713623073/1214837932*c_0101_6^7 - 2696279222430/303709483*c_0101_6^6 - 700592258522/303709483*c_0101_6^5 + 1233723124168/303709483*c_0101_6^4 + 601867998987/1214837932*c_0101_6^3 - 114630190229/173548276*c_0101_6^2 - 1760187326/27609953*c_0101_6 + 108194707331/1214837932, c_0011_0 - 1, c_0011_4 + 4650469/7888558*c_0101_1*c_0101_6^13 - 11183350/3944279*c_0101_1*c_0101_6^12 - 15906873/3944279*c_0101_1*c_0101_6^11 + 116685743/3944279*c_0101_1*c_0101_6^10 + 27674398/3944279*c_0101_1*c_0101_6^9 - 403663570/3944279*c_0101_1*c_0101_6^8 - 87862509/7888558*c_0101_1*c_0101_6^7 + 526279881/3944279*c_0101_1*c_0101_6^6 + 34406685/3944279*c_0101_1*c_0101_6^5 - 260119504/3944279*c_0101_1*c_0101_6^4 - 25990351/7888558*c_0101_1*c_0101_6^3 + 103973447/7888558*c_0101_1*c_0101_6^2 + 3994033/3944279*c_0101_1*c_0101_6 - 16576141/7888558*c_0101_1, c_0101_0 - 2680999/3944279*c_0101_6^13 + 12268420/3944279*c_0101_6^12 + 21787409/3944279*c_0101_6^11 - 132895021/3944279*c_0101_6^10 - 63179056/3944279*c_0101_6^9 + 480693048/3944279*c_0101_6^8 + 136519086/3944279*c_0101_6^7 - 652999170/3944279*c_0101_6^6 - 112395411/3944279*c_0101_6^5 + 341936671/3944279*c_0101_6^4 + 16744426/3944279*c_0101_6^3 - 70164633/3944279*c_0101_6^2 - 3526775/3944279*c_0101_6 + 8012814/3944279, c_0101_1^2 + 4938545/3944279*c_0101_6^13 - 22584379/3944279*c_0101_6^12 - 38955092/3944279*c_0101_6^11 + 238712998/3944279*c_0101_6^10 + 110002988/3944279*c_0101_6^9 - 830176079/3944279*c_0101_6^8 - 246041433/3944279*c_0101_6^7 + 1051685910/3944279*c_0101_6^6 + 188725740/3944279*c_0101_6^5 - 512574925/3944279*c_0101_6^4 - 38212193/3944279*c_0101_6^3 + 85037232/3944279*c_0101_6^2 + 9660335/3944279*c_0101_6 - 9182987/3944279, c_0101_2 - 884062/3944279*c_0101_6^13 + 3436424/3944279*c_0101_6^12 + 9682917/3944279*c_0101_6^11 - 38029724/3944279*c_0101_6^10 - 46561131/3944279*c_0101_6^9 + 133490352/3944279*c_0101_6^8 + 127118825/3944279*c_0101_6^7 - 144499544/3944279*c_0101_6^6 - 111501560/3944279*c_0101_6^5 + 50545352/3944279*c_0101_6^4 + 22372466/3944279*c_0101_6^3 + 1899429/3944279*c_0101_6^2 - 1764280/3944279*c_0101_6 - 3331451/3944279, c_0101_5 + 612828/3944279*c_0101_6^13 - 2180078/3944279*c_0101_6^12 - 7113392/3944279*c_0101_6^11 + 22184139/3944279*c_0101_6^10 + 39255380/3944279*c_0101_6^9 - 63747909/3944279*c_0101_6^8 - 120620964/3944279*c_0101_6^7 + 19347067/3944279*c_0101_6^6 + 115083800/3944279*c_0101_6^5 + 37962200/3944279*c_0101_6^4 - 30322028/3944279*c_0101_6^3 - 10115906/3944279*c_0101_6^2 - 1019290/3944279*c_0101_6 - 74204/3944279, c_0101_6^14 - 5*c_0101_6^13 - 6*c_0101_6^12 + 52*c_0101_6^11 + 2*c_0101_6^10 - 180*c_0101_6^9 + 21*c_0101_6^8 + 239*c_0101_6^7 - 48*c_0101_6^6 - 120*c_0101_6^5 + 33*c_0101_6^4 + 20*c_0101_6^3 - 5*c_0101_6^2 - 3*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB