Magma V2.19-8 Wed Aug 21 2013 00:51:13 on localhost [Seed = 711737174] Type ? for help. Type -D to quit. Loading file "L11a205__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a205 geometric_solution 12.10968214 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 1 1 0 1 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 1 -1 0 0 0 0 1 1 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.774328291779 1.144261709194 0 0 5 4 0132 1302 0132 0132 1 1 1 0 0 0 -1 1 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 7 -7 0 0 0 0 -1 1 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.594362974106 0.599429107123 5 0 5 6 0132 0132 3012 0132 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.165903048207 0.841206489720 7 8 9 0 0132 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 0 1 0 -1 -8 0 8 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 0.163747694471 0.488649464311 7 9 1 7 2103 1230 0132 1023 1 1 1 1 0 1 -1 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 -7 7 0 8 0 0 -8 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.165903048207 0.841206489720 2 2 7 1 0132 1230 0213 0132 1 1 0 1 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 7 -7 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 0.594362974106 0.599429107123 8 10 2 9 0213 0132 0132 0321 1 1 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 0 0 0 0 0.660230217127 0.630372067301 3 5 4 4 0132 0213 2103 1023 1 1 1 1 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 -7 -1 8 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.774328291779 1.144261709194 6 3 10 11 0213 0132 0132 0132 1 1 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 -1 0 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 0.270482347442 0.452122881515 11 6 4 3 0213 0321 3012 0132 1 1 1 1 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 1 0 7 -8 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.376558540194 0.632048248249 12 6 12 8 0132 0132 1230 0132 1 1 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 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.764010125974 0.910113306965 9 12 8 12 0213 1230 0132 2031 1 1 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 -1 1 0 0 0 0 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.764010125974 0.910113306965 10 11 11 10 0132 1302 3012 3012 1 1 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 1 -1 0 0 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.458923125572 0.644548084857 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_9']), 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0011_4']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_1001_0'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_9'], '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_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : d['c_0110_4'], 'c_1100_7' : negation(d['c_0110_4']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0011_4']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : d['c_0101_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_4'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_1001_10'], 'c_1010_8' : d['c_1001_10'], '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'], 'c_1100_12' : negation(d['c_1001_10']), '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_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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_11' : negation(d['c_0011_11']), 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_11'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : negation(d['c_0011_10']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0011_9'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1001_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0110_4, c_1001_0, c_1001_10, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 701300788080457/64743600128*c_1001_4^18 + 23462853426609285/64743600128*c_1001_4^17 - 361727652997015533/64743600128*c_1001_4^16 + 852106180621721831/16185900032*c_1001_4^15 - 5489709308890241335/16185900032*c_1001_4^14 + 4459466499885336649/2814939136*c_1001_4^13 - 179801668557841802529/32371800064*c_1001_4^12 + 483639302702775906157/32371800064*c_1001_4^11 - 2024646692651049166295/64743600128*c_1001_4^10 + 1663720002558281464311/32371800064*c_1001_4^9 - 4314435807351845922853/64743600128*c_1001_4^8 + 138021405432184636723/2023237504*c_1001_4^7 - 1777501743278509776105/32371800064*c_1001_4^6 + 2226688436222264645241/64743600128*c_1001_4^5 - 266181329047250601519/16185900032*c_1001_4^4 + 188048942926207545083/32371800064*c_1001_4^3 - 92669963595601525103/64743600128*c_1001_4^2 + 7129057611079320775/32371800064*c_1001_4 - 1035932381531846177/64743600128, c_0011_0 - 1, c_0011_10 - c_1001_4^5 + 8*c_1001_4^4 - 22*c_1001_4^3 + 25*c_1001_4^2 - 14*c_1001_4 + 3, c_0011_11 + c_1001_4^18 - 33*c_1001_4^17 + 502*c_1001_4^16 - 4669*c_1001_4^15 + 29702*c_1001_4^14 - 137036*c_1001_4^13 + 474675*c_1001_4^12 - 1261541*c_1001_4^11 + 2608515*c_1001_4^10 - 4232705*c_1001_4^9 + 5413709*c_1001_4^8 - 5459593*c_1001_4^7 + 4321872*c_1001_4^6 - 2656992*c_1001_4^5 + 1244095*c_1001_4^4 - 429161*c_1001_4^3 + 102933*c_1001_4^2 - 15353*c_1001_4 + 1075, c_0011_3 - c_1001_4, c_0011_4 + 1, c_0011_9 + c_1001_4^18 - 33*c_1001_4^17 + 501*c_1001_4^16 - 4640*c_1001_4^15 + 29319*c_1001_4^14 - 133986*c_1001_4^13 + 458323*c_1001_4^12 - 1199088*c_1001_4^11 + 2432988*c_1001_4^10 - 3862486*c_1001_4^9 + 4820742*c_1001_4^8 - 4733914*c_1001_4^7 + 3642797*c_1001_4^6 - 2174016*c_1001_4^5 + 986987*c_1001_4^4 - 329688*c_1001_4^3 + 76436*c_1001_4^2 - 10989*c_1001_4 + 738, c_0101_0 - 1, c_0101_1 - 3/2*c_1001_4^18 + 101/2*c_1001_4^17 - 1569/2*c_1001_4^16 + 7460*c_1001_4^15 - 48590*c_1001_4^14 + 459851/2*c_1001_4^13 - 818508*c_1001_4^12 + 2240913*c_1001_4^11 - 9571729/2*c_1001_4^10 + 8043731*c_1001_4^9 - 21374143/2*c_1001_4^8 + 11226984*c_1001_4^7 - 9282299*c_1001_4^6 + 11949425/2*c_1001_4^5 - 2935729*c_1001_4^4 + 1065035*c_1001_4^3 - 538441/2*c_1001_4^2 + 42419*c_1001_4 - 6295/2, c_0101_10 + c_1001_4^7 - 12*c_1001_4^6 + 57*c_1001_4^5 - 137*c_1001_4^4 + 181*c_1001_4^3 - 138*c_1001_4^2 + 57*c_1001_4 - 10, c_0110_4 - c_1001_4^18 + 34*c_1001_4^17 - 533*c_1001_4^16 + 5110*c_1001_4^15 - 33519*c_1001_4^14 + 159514*c_1001_4^13 - 570135*c_1001_4^12 + 1564064*c_1001_4^11 - 3339286*c_1001_4^10 + 5596102*c_1001_4^9 - 7393070*c_1001_4^8 + 7701296*c_1001_4^7 - 6296955*c_1001_4^6 + 3998288*c_1001_4^5 - 1933473*c_1001_4^4 + 688816*c_1001_4^3 - 170638*c_1001_4^2 + 26296*c_1001_4 - 1904, c_1001_0 - c_1001_4^18 + 33*c_1001_4^17 - 502*c_1001_4^16 + 4669*c_1001_4^15 - 29702*c_1001_4^14 + 137036*c_1001_4^13 - 474675*c_1001_4^12 + 1261541*c_1001_4^11 - 2608515*c_1001_4^10 + 4232705*c_1001_4^9 - 5413709*c_1001_4^8 + 5459593*c_1001_4^7 - 4321872*c_1001_4^6 + 2656992*c_1001_4^5 - 1244095*c_1001_4^4 + 429161*c_1001_4^3 - 102933*c_1001_4^2 + 15353*c_1001_4 - 1075, c_1001_10 + c_1001_4^3 - 4*c_1001_4^2 + 3*c_1001_4 - 1, c_1001_4^19 - 34*c_1001_4^18 + 534*c_1001_4^17 - 5141*c_1001_4^16 + 33960*c_1001_4^15 - 163331*c_1001_4^14 + 592613*c_1001_4^13 - 1659524*c_1001_4^12 + 3641809*c_1001_4^11 - 6326873*c_1001_4^10 + 8756467*c_1001_4^9 - 9680657*c_1001_4^8 + 8538658*c_1001_4^7 - 5973371*c_1001_4^6 + 3274769*c_1001_4^5 - 1378194*c_1001_4^4 + 430293*c_1001_4^3 - 94001*c_1001_4^2 + 12847*c_1001_4 - 829 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.220 Total time: 0.430 seconds, Total memory usage: 32.09MB