Magma V2.19-8 Tue Aug 20 2013 17:58:09 on localhost [Seed = 357867847] Type ? for help. Type -D to quit. Loading file "10^2_148__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_148 geometric_solution 11.79408628 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 1 1 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 1 0 -1 1 0 0 -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 0.261712740296 1.037429878713 0 5 7 6 0132 0132 0132 0132 1 0 1 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 1 -1 0 -1 0 0 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.417643772085 1.120251088120 5 0 9 8 0132 0132 0132 0132 0 0 1 1 0 0 0 0 1 0 -1 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 -1 1 0 -3 0 3 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 0.081306224369 0.919253385906 8 9 7 0 0132 0132 3120 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.081306224369 0.919253385906 10 11 0 12 0132 0132 0132 0132 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 2 1 -3 -1 0 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 0.261712740296 1.037429878713 2 1 6 11 0132 0132 2103 3012 1 0 1 1 0 0 0 0 -1 0 0 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 -1 1 0 3 0 -1 -2 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.018227449702 0.846916745866 5 11 1 10 2103 2031 0132 2031 1 0 1 1 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 1 0 -1 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 0.974599436654 1.180206929889 12 11 3 1 3120 2310 3120 0132 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 -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 0.236243099495 0.605917482906 3 12 2 10 0132 1023 0132 1023 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 0 0 0 0 -0.095470461740 1.079395161802 12 3 10 2 1023 0132 1023 0132 0 0 1 1 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 1 -1 3 0 0 -3 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.095470461740 1.079395161802 4 6 9 8 0132 1302 1023 1023 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 1 0 -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 0.081306224369 0.919253385906 6 4 5 7 1302 0132 1230 3201 0 1 1 1 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 -2 2 0 -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 -0.417643772085 1.120251088120 8 9 4 7 1023 1023 0132 3120 0 0 1 1 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.081306224369 0.919253385906 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_9'], 'c_1001_10' : d['c_0101_9'], 'c_1001_12' : d['c_0101_9'], 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_1001_2']), 'c_1001_6' : d['c_0011_6'], 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0101_10'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : negation(d['c_0011_7']), 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_0101_3'], 's_0_10' : negation(d['1']), 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_6']), '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' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : negation(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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(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_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_9']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : negation(d['c_1100_10']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_7']), 'c_1100_10' : d['c_1100_10'], 's_3_10' : negation(d['1']), 'c_1010_7' : d['c_0011_6'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0101_9'], 'c_1010_3' : d['c_0101_10'], 'c_1010_2' : d['c_0101_10'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0101_1'], 'c_1100_8' : negation(d['c_1100_10']), 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(d['1']), 'c_1100_12' : negation(d['c_0101_7']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_12'], 'c_0011_8' : d['c_0011_12'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_12']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_1'], 'c_0101_12' : d['c_0101_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_7']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1100_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_9']})} 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_12, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_7, c_0101_9, c_1001_2, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 1396507909553/64348872694784*c_1100_10^8 + 19169554258773/32174436347392*c_1100_10^7 + 84422777895399/64348872694784*c_1100_10^6 + 249939970924443/64348872694784*c_1100_10^5 + 678791381477725/64348872694784*c_1100_10^4 + 364159304202915/16087218173696*c_1100_10^3 + 275009928169061/8043609086848*c_1100_10^2 + 236127084929303/8043609086848*c_1100_10 + 52177562029865/4021804543424, c_0011_0 - 1, c_0011_10 - 1, c_0011_12 + 8341136005/8043609086848*c_1100_10^8 + 95739334489/4021804543424*c_1100_10^7 - 489205497133/8043609086848*c_1100_10^6 + 256192412119/8043609086848*c_1100_10^5 + 241600062369/8043609086848*c_1100_10^4 - 1117254380729/2010902271712*c_1100_10^3 - 881925648695/1005451135856*c_1100_10^2 - 1480362741837/1005451135856*c_1100_10 + 264547591581/502725567928, c_0011_6 - 7170598777/4021804543424*c_1100_10^8 - 101070769497/2010902271712*c_1100_10^7 - 559291151343/4021804543424*c_1100_10^6 - 1115338402555/4021804543424*c_1100_10^5 - 4312733725293/4021804543424*c_1100_10^4 - 1814190865745/1005451135856*c_1100_10^3 - 1655642275869/502725567928*c_1100_10^2 - 913637093707/502725567928*c_1100_10 - 183246166713/251362783964, c_0011_7 - 584971527/502725567928*c_1100_10^8 - 12835152525/502725567928*c_1100_10^7 + 47675142291/502725567928*c_1100_10^6 - 26849057445/251362783964*c_1100_10^5 + 66935852715/251362783964*c_1100_10^4 + 152696367655/502725567928*c_1100_10^3 + 380521268631/251362783964*c_1100_10^2 + 49041803604/62840695991*c_1100_10 + 6427580421/62840695991, c_0101_0 - 1, c_0101_1 - 1586929197/1005451135856*c_1100_10^8 - 21282863289/502725567928*c_1100_10^7 - 64792729291/1005451135856*c_1100_10^6 - 133476481191/1005451135856*c_1100_10^5 - 644238295401/1005451135856*c_1100_10^4 - 207206412145/251362783964*c_1100_10^3 - 68938799196/62840695991*c_1100_10^2 - 23748580527/62840695991*c_1100_10 - 8341136005/62840695991, c_0101_10 - 2972543503/1005451135856*c_1100_10^8 - 18938928999/251362783964*c_1100_10^7 - 30571307325/1005451135856*c_1100_10^6 - 477100875503/1005451135856*c_1100_10^5 - 648019761549/1005451135856*c_1100_10^4 - 961168723989/502725567928*c_1100_10^3 - 172982515505/125681391982*c_1100_10^2 - 237695893735/125681391982*c_1100_10 - 24996309423/62840695991, c_0101_3 - 584971527/502725567928*c_1100_10^8 - 12835152525/502725567928*c_1100_10^7 + 47675142291/502725567928*c_1100_10^6 - 26849057445/251362783964*c_1100_10^5 + 66935852715/251362783964*c_1100_10^4 + 152696367655/502725567928*c_1100_10^3 + 380521268631/251362783964*c_1100_10^2 + 49041803604/62840695991*c_1100_10 + 6427580421/62840695991, c_0101_7 - 211942243/1005451135856*c_1100_10^8 - 904333609/502725567928*c_1100_10^7 + 86636808691/1005451135856*c_1100_10^6 - 71571237757/1005451135856*c_1100_10^5 + 402420459021/1005451135856*c_1100_10^4 + 72948197349/125681391982*c_1100_10^3 + 129877736807/125681391982*c_1100_10^2 + 90241742081/125681391982*c_1100_10 + 7216728904/62840695991, c_0101_9 - 1, c_1001_2 + 1586929197/1005451135856*c_1100_10^8 + 21282863289/502725567928*c_1100_10^7 + 64792729291/1005451135856*c_1100_10^6 + 133476481191/1005451135856*c_1100_10^5 + 644238295401/1005451135856*c_1100_10^4 + 207206412145/251362783964*c_1100_10^3 + 68938799196/62840695991*c_1100_10^2 + 23748580527/62840695991*c_1100_10 + 8341136005/62840695991, c_1100_10^9 + 26*c_1100_10^8 + 23*c_1100_10^7 + 155*c_1100_10^6 + 285*c_1100_10^5 + 700*c_1100_10^4 + 744*c_1100_10^3 + 696*c_1100_10^2 + 272*c_1100_10 + 256 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.380 seconds, Total memory usage: 32.09MB