Magma V2.19-8 Wed Aug 21 2013 00:53:22 on localhost [Seed = 660681417] Type ? for help. Type -D to quit. Loading file "L12n1501__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1501 geometric_solution 11.76294367 oriented_manifold CS_known 0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 2 0 2 0 1 -1 0 0 0 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 1 -2 1 -1 0 2 -1 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.703806660314 0.710509768384 0 5 7 6 0132 0132 0132 0132 1 2 2 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 -1 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 0.687098848661 0.597768605177 8 0 5 9 0132 0132 0132 0132 1 2 2 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 -1 0 1 0 0 0 0 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.678081244282 0.891635357356 10 6 9 0 0132 0321 0132 0132 1 2 2 2 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 0 0 0 0 0 0 0 -2 2 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.090381715765 0.334047345402 11 8 0 5 0132 0132 0132 0132 1 2 2 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 1 -1 0 0 0 1 -1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.216382332142 1.880203859432 11 1 4 2 1023 0132 0132 0132 1 2 0 2 0 0 0 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 0 0 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 0.188858885057 0.453145990879 10 8 1 3 2103 0213 0132 0321 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.574730621141 1.157759342973 11 8 9 1 3120 0321 0213 0132 1 2 0 2 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 -1 1 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 0.128755685392 0.619418334424 2 4 6 7 0132 0132 0213 0321 1 2 0 2 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.740183617582 0.642484756848 12 7 2 3 0132 0213 0132 0132 1 2 2 2 0 0 -1 1 1 0 0 -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 -1 -1 2 2 0 0 -2 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.078078327743 2.083958728329 3 12 6 12 0132 1302 2103 2031 2 2 2 2 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 0 2 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 -0.052010681642 1.915021650253 4 5 12 7 0132 1023 1023 3120 2 2 0 2 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 1 0 -1 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 0.514878421366 0.749869050495 9 10 11 10 0132 1302 1023 2031 2 2 2 2 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 0 0 0 0 0 0 0 -2 0 0 2 1 -2 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.312847414565 0.998260203066 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_10'], 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : d['c_0101_11'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_5'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : d['c_0011_12'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_11'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_0'], 'c_1100_8' : d['c_1001_0'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1001_3'], 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : negation(d['c_0011_10']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_5'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_1'], '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0011_12']), 's_1_7' : negation(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' : negation(d['c_0011_12']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), '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_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0011_6'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], '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_0011_6'], 'c_0101_8' : d['c_0011_6'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : negation(d['c_0011_7']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10'], 's_2_9' : d['1']})} 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_11, c_1001_0, c_1001_1, c_1001_3, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 2453956090/144797653*c_1100_0^7 + 43772331199/289595306*c_1100_0^6 - 434287593965/579190612*c_1100_0^5 + 1327184734549/579190612*c_1100_0^4 - 2524659874337/579190612*c_1100_0^3 + 121929067691/26326846*c_1100_0^2 - 704785455579/289595306*c_1100_0 + 109139265635/579190612, c_0011_0 - 1, c_0011_10 + 238551/104648*c_1100_0^7 - 265205/13081*c_1100_0^6 + 10515147/104648*c_1100_0^5 - 16041245/52324*c_1100_0^4 + 60934825/104648*c_1100_0^3 - 64566047/104648*c_1100_0^2 + 33807153/104648*c_1100_0 - 2437359/104648, c_0011_12 + 176459/52324*c_1100_0^7 - 785391/26162*c_1100_0^6 + 7787525/52324*c_1100_0^5 - 11886607/26162*c_1100_0^4 + 45182181/52324*c_1100_0^3 - 47928973/52324*c_1100_0^2 + 25135733/52324*c_1100_0 - 1872217/52324, c_0011_6 + 56683/104648*c_1100_0^7 - 126971/26162*c_1100_0^6 + 2532035/104648*c_1100_0^5 - 3893057/52324*c_1100_0^4 + 14959789/104648*c_1100_0^3 - 16179351/104648*c_1100_0^2 + 8750741/104648*c_1100_0 - 796239/104648, c_0011_7 - 1491/1016*c_1100_0^7 + 6629/508*c_1100_0^6 - 65661/1016*c_1100_0^5 + 100083/508*c_1100_0^4 - 379565/1016*c_1100_0^3 + 401161/1016*c_1100_0^2 - 209257/1016*c_1100_0 + 16613/1016, c_0101_0 - 1, c_0101_1 - 907/1016*c_1100_0^7 + 4085/508*c_1100_0^6 - 40789/1016*c_1100_0^5 + 62815/508*c_1100_0^4 - 241517/1016*c_1100_0^3 + 260633/1016*c_1100_0^2 - 139017/1016*c_1100_0 + 11293/1016, c_0101_11 - 272313/104648*c_1100_0^7 + 606683/26162*c_1100_0^6 - 12040449/104648*c_1100_0^5 + 18396191/52324*c_1100_0^4 - 70016495/104648*c_1100_0^3 + 74434197/104648*c_1100_0^2 - 39160087/104648*c_1100_0 + 3008221/104648, c_1001_0 - 1, c_1001_1 + 907/1016*c_1100_0^7 - 4085/508*c_1100_0^6 + 40789/1016*c_1100_0^5 - 62815/508*c_1100_0^4 + 241517/1016*c_1100_0^3 - 260633/1016*c_1100_0^2 + 140033/1016*c_1100_0 - 11293/1016, c_1001_3 - 1199/508*c_1100_0^7 + 5357/254*c_1100_0^6 - 53225/508*c_1100_0^5 + 81449/254*c_1100_0^4 - 310541/508*c_1100_0^3 + 330897/508*c_1100_0^2 - 174137/508*c_1100_0 + 13445/508, c_1001_5 - 561/254*c_1100_0^7 + 2496/127*c_1100_0^6 - 24731/254*c_1100_0^5 + 37727/127*c_1100_0^4 - 143267/254*c_1100_0^3 + 151801/254*c_1100_0^2 - 79657/254*c_1100_0 + 6123/254, c_1100_0^8 - 9*c_1100_0^7 + 45*c_1100_0^6 - 139*c_1100_0^5 + 269*c_1100_0^4 - 296*c_1100_0^3 + 168*c_1100_0^2 - 24*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB