Magma V2.19-8 Tue Aug 20 2013 23:40:08 on localhost [Seed = 340947121] Type ? for help. Type -D to quit. Loading file "K14n4745__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n4745 geometric_solution 9.73656555 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 1 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 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 0.152616863243 0.660117611068 0 4 0 5 0132 0132 1023 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 1 -1 -1 0 1 0 0 15 0 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.152616863243 0.660117611068 4 0 6 5 0132 0132 0132 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 0 0 0 -1 0 0 1 -14 0 0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.193564120695 1.929344924843 5 7 0 8 0213 0132 0132 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 -1 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 0.371645007456 0.937978122823 2 1 9 7 0132 0132 0132 3120 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 1 0 0 -1 0 0 0 0 14 -15 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.591427959984 0.955184790637 3 2 1 8 0213 1302 0132 3201 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 -1 1 0 0 0 0 0 0 0 0 0 -1 -14 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.371645007456 0.937978122823 9 10 7 2 2031 0132 0321 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.283233038550 1.063649336607 4 3 6 10 3120 0132 0321 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.714949095158 0.526016548262 8 5 3 8 3201 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.203695888317 0.831375483819 10 10 6 4 3120 1023 1302 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 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.183299054872 0.556776872544 9 6 7 9 1023 0132 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.835926485602 0.569883672973 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_4'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_1001_7'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], '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_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' : 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_9' : d['c_0101_6'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_8']), 'c_1100_4' : d['c_0101_6'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : d['c_1001_7'], 'c_1100_1' : negation(d['c_0011_8']), 'c_1100_0' : d['c_0011_8'], 'c_1100_3' : d['c_0011_8'], 'c_1100_2' : d['c_1001_7'], 'c_1100_10' : negation(d['c_0011_10']), 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : negation(d['c_1001_7']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_7'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_1001_10'], 'c_1010_9' : d['c_0101_4'], 'c_1010_8' : d['c_0101_8'], 'c_1100_8' : d['c_0011_8'], 's_3_1' : 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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_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' : negation(d['c_0011_3']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_4'], 'c_0101_7' : negation(d['c_0101_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0011_3'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : negation(d['c_0101_8']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_8']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_10']})} 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_3, c_0011_5, c_0011_8, c_0101_10, c_0101_4, c_0101_6, c_0101_8, c_1001_10, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 3397239797/90473696*c_1001_10^15 + 447054003/22618424*c_1001_10^14 - 21736496827/90473696*c_1001_10^13 + 1984278965/22618424*c_1001_10^12 - 27886865471/45236848*c_1001_10^11 + 10207353237/90473696*c_1001_10^10 - 77130748983/90473696*c_1001_10^9 + 546238675/22618424*c_1001_10^8 - 63685086581/90473696*c_1001_10^7 - 3840186101/45236848*c_1001_10^6 - 30987481801/90473696*c_1001_10^5 - 11075352455/90473696*c_1001_10^4 - 7352220615/90473696*c_1001_10^3 - 3734165929/45236848*c_1001_10^2 - 122253587/11309212*c_1001_10 - 2709729515/90473696, c_0011_0 - 1, c_0011_10 + 3713017/5654606*c_1001_10^15 - 4034797/5654606*c_1001_10^14 + 27960029/5654606*c_1001_10^13 - 8732770/2827303*c_1001_10^12 + 73977155/5654606*c_1001_10^11 - 17239651/5654606*c_1001_10^10 + 87106301/5654606*c_1001_10^9 + 11200293/5654606*c_1001_10^8 + 27254038/2827303*c_1001_10^7 + 27112159/5654606*c_1001_10^6 + 18960399/5654606*c_1001_10^5 + 27028697/5654606*c_1001_10^4 + 1288949/2827303*c_1001_10^3 + 7400726/2827303*c_1001_10^2 + 1459207/2827303*c_1001_10 + 864234/2827303, c_0011_3 + 15967385/5654606*c_1001_10^15 - 3806201/2827303*c_1001_10^14 + 51866532/2827303*c_1001_10^13 - 36780945/5654606*c_1001_10^12 + 136578748/2827303*c_1001_10^11 - 57022083/5654606*c_1001_10^10 + 385736261/5654606*c_1001_10^9 - 16111584/2827303*c_1001_10^8 + 154694001/2827303*c_1001_10^7 + 2981009/2827303*c_1001_10^6 + 131860063/5654606*c_1001_10^5 + 19344455/5654606*c_1001_10^4 + 15187141/5654606*c_1001_10^3 + 14823413/5654606*c_1001_10^2 - 6014075/5654606*c_1001_10 + 5336537/5654606, c_0011_5 - 15967385/5654606*c_1001_10^15 + 3806201/2827303*c_1001_10^14 - 51866532/2827303*c_1001_10^13 + 36780945/5654606*c_1001_10^12 - 136578748/2827303*c_1001_10^11 + 57022083/5654606*c_1001_10^10 - 385736261/5654606*c_1001_10^9 + 16111584/2827303*c_1001_10^8 - 154694001/2827303*c_1001_10^7 - 2981009/2827303*c_1001_10^6 - 131860063/5654606*c_1001_10^5 - 19344455/5654606*c_1001_10^4 - 15187141/5654606*c_1001_10^3 - 14823413/5654606*c_1001_10^2 + 6014075/5654606*c_1001_10 - 5336537/5654606, c_0011_8 + 5765515/2827303*c_1001_10^15 + 2931119/2827303*c_1001_10^14 + 63967207/5654606*c_1001_10^13 + 45463613/5654606*c_1001_10^12 + 71296104/2827303*c_1001_10^11 + 129438491/5654606*c_1001_10^10 + 93445785/2827303*c_1001_10^9 + 172775593/5654606*c_1001_10^8 + 77983925/2827303*c_1001_10^7 + 66241901/2827303*c_1001_10^6 + 72680627/5654606*c_1001_10^5 + 30315776/2827303*c_1001_10^4 + 18785715/5654606*c_1001_10^3 + 6278049/2827303*c_1001_10^2 + 1303125/5654606*c_1001_10 + 5600449/5654606, c_0101_10 + 10168291/2827303*c_1001_10^15 - 11171355/5654606*c_1001_10^14 + 57645516/2827303*c_1001_10^13 - 43743267/5654606*c_1001_10^12 + 120804459/2827303*c_1001_10^11 - 20141846/2827303*c_1001_10^10 + 120124179/2827303*c_1001_10^9 + 5646963/5654606*c_1001_10^8 + 112591179/5654606*c_1001_10^7 + 14536121/2827303*c_1001_10^6 + 5285230/2827303*c_1001_10^5 + 14227539/2827303*c_1001_10^4 - 10178857/5654606*c_1001_10^3 + 6078712/2827303*c_1001_10^2 + 3254551/5654606*c_1001_10 + 1527886/2827303, c_0101_4 + c_1001_10, c_0101_6 - 843220/2827303*c_1001_10^15 - 16529727/5654606*c_1001_10^14 + 1151901/5654606*c_1001_10^13 - 52600378/2827303*c_1001_10^12 + 13674649/2827303*c_1001_10^11 - 252845315/5654606*c_1001_10^10 + 21743835/2827303*c_1001_10^9 - 146771664/2827303*c_1001_10^8 + 23734395/5654606*c_1001_10^7 - 87172069/2827303*c_1001_10^6 + 7862281/5654606*c_1001_10^5 - 20173051/2827303*c_1001_10^4 - 1645080/2827303*c_1001_10^3 + 4010142/2827303*c_1001_10^2 - 1452468/2827303*c_1001_10 + 624171/5654606, c_0101_8 + 5206418/2827303*c_1001_10^15 - 9001057/2827303*c_1001_10^14 + 37449082/2827303*c_1001_10^13 - 99710811/5654606*c_1001_10^12 + 106921491/2827303*c_1001_10^11 - 104126058/2827303*c_1001_10^10 + 323544515/5654606*c_1001_10^9 - 221993239/5654606*c_1001_10^8 + 151423614/2827303*c_1001_10^7 - 60782265/2827303*c_1001_10^6 + 90947110/2827303*c_1001_10^5 - 17928767/5654606*c_1001_10^4 + 65221769/5654606*c_1001_10^3 + 6163325/2827303*c_1001_10^2 + 4849423/2827303*c_1001_10 + 5271053/5654606, c_1001_10^16 - 3/7*c_1001_10^15 + 45/7*c_1001_10^14 - 13/7*c_1001_10^13 + 118/7*c_1001_10^12 - 17/7*c_1001_10^11 + 172/7*c_1001_10^10 - 9/7*c_1001_10^9 + 155/7*c_1001_10^8 - 1/7*c_1001_10^7 + 85/7*c_1001_10^6 + 2/7*c_1001_10^5 + 24/7*c_1001_10^4 + 1/7*c_1001_10^3 + 2/7*c_1001_10^2 + 1/7*c_1001_10 - 1/7, c_1001_7 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.410 Total time: 0.630 seconds, Total memory usage: 32.09MB