Magma V2.19-8 Wed Aug 21 2013 01:09:15 on localhost [Seed = 4290373260] Type ? for help. Type -D to quit. Loading file "L14n45391__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n45391 geometric_solution 11.32877367 oriented_manifold CS_known -0.0000000000000001 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 1 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 -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 0.687263443217 0.558848317499 0 5 6 6 0132 0132 0213 0132 0 1 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 -1 0 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 0.716396307679 0.830857559220 7 0 9 8 0132 0132 0132 0132 1 1 2 2 0 0 0 0 -1 0 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 2 0 -3 1 0 0 0 0 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.635262942649 0.571697207336 5 5 6 0 3120 1230 1230 0132 1 1 2 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 0 1 1 0 -1 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 0.716396307679 0.830857559220 8 10 0 7 0132 0132 0132 0132 1 1 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 -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 0.635262942649 0.571697207336 8 1 3 3 1023 0132 3012 3120 0 1 2 2 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 -2 1 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 0.716396307679 0.830857559220 8 1 1 3 3012 0213 0132 3012 0 1 1 2 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 1 0 0 0 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 0.367955534441 1.077978339228 2 11 4 9 0132 0132 0132 0132 1 1 2 2 0 0 0 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 1 -1 0 -2 0 0 2 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.732089987779 0.656236631405 4 5 2 6 0132 1023 0132 1230 1 1 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 -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 0.687263443217 0.558848317499 11 10 7 2 3012 0321 0132 0132 1 1 2 2 0 0 0 0 0 0 1 -1 -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 0 0 0 -1 0 -2 3 2 0 0 -2 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.154912079366 0.767242614071 12 4 11 9 0132 0132 0321 0321 1 2 2 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 0 0 0 0 0 0 0 0 0 0 0 3 -1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.088413124193 0.856799547420 12 7 10 9 1023 0132 0321 1230 1 2 2 2 0 0 0 0 0 0 -1 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 -1 0 1 0 0 2 -2 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.713392034532 0.224379544106 10 11 12 12 0132 1023 2031 1302 2 2 2 2 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 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 0.695961587946 0.294207738790 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0101_2'], 'c_1001_12' : negation(d['c_0101_10']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_11'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : d['c_0011_9'], 'c_1010_11' : d['c_0101_2'], 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_0_11' : 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' : negation(d['c_0101_10']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(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' : 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' : 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_0110_6'], 'c_1100_8' : d['c_0110_6'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_0110_6'], 'c_1100_7' : d['c_0110_6'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0110_6'], 'c_1100_3' : d['c_0110_6'], 'c_1100_2' : d['c_0110_6'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_2'], 'c_1100_10' : d['c_1001_11'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0101_0'], 's_3_1' : negation(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_0011_9']), 's_1_7' : d['1'], 's_1_6' : negation(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' : 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_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_9'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : negation(d['c_0011_9']), 'c_0110_0' : d['c_0011_6'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_2'], 'c_0101_8' : d['c_0101_7'], 'c_0011_10' : d['c_0011_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0110_6']})} 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_3, c_0011_6, c_0011_9, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_5, c_0101_7, c_0110_6, c_1001_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 1416087111174324224/9373941456327*c_1001_2^8 + 43287133696491520/9373941456327*c_1001_2^7 + 2147631259386216448/9373941456327*c_1001_2^6 - 33399325508976640/3124647152109*c_1001_2^5 + 48410365108895744/228632718447*c_1001_2^4 - 673464025999831040/9373941456327*c_1001_2^3 + 750818481105661952/9373941456327*c_1001_2^2 - 642275040107150336/9373941456327*c_1001_2 + 153160697997754880/9373941456327, c_0011_0 - 1, c_0011_3 + 1, c_0011_6 - 12192896/1017407*c_1001_2^8 + 1143744/1017407*c_1001_2^7 - 17203744/1017407*c_1001_2^6 + 3557824/1017407*c_1001_2^5 - 15072152/1017407*c_1001_2^4 + 8368680/1017407*c_1001_2^3 - 5007856/1017407*c_1001_2^2 + 5814070/1017407*c_1001_2 - 142751/70166, c_0011_9 - 17905152/7121849*c_1001_2^8 - 25137920/7121849*c_1001_2^7 - 34041152/7121849*c_1001_2^6 - 43208800/7121849*c_1001_2^5 - 42574032/7121849*c_1001_2^4 - 28298352/7121849*c_1001_2^3 - 5305696/7121849*c_1001_2^2 + 2490542/7121849*c_1001_2 + 305019/245581, c_0101_0 - 1, c_0101_10 + 16801280/7121849*c_1001_2^8 - 41058560/7121849*c_1001_2^7 + 25282304/7121849*c_1001_2^6 - 50371008/7121849*c_1001_2^5 + 28131072/7121849*c_1001_2^4 - 52698760/7121849*c_1001_2^3 + 18048860/7121849*c_1001_2^2 - 24524680/7121849*c_1001_2 + 392657/245581, c_0101_2 - 22098304/1017407*c_1001_2^8 + 3314944/1017407*c_1001_2^7 - 31425664/1017407*c_1001_2^6 + 8468096/1017407*c_1001_2^5 - 28054976/1017407*c_1001_2^4 + 17404368/1017407*c_1001_2^3 - 11288032/1017407*c_1001_2^2 + 12186978/1017407*c_1001_2 - 119004/35083, c_0101_3 + 12192896/1017407*c_1001_2^8 - 1143744/1017407*c_1001_2^7 + 17203744/1017407*c_1001_2^6 - 3557824/1017407*c_1001_2^5 + 15072152/1017407*c_1001_2^4 - 8368680/1017407*c_1001_2^3 + 5007856/1017407*c_1001_2^2 - 5814070/1017407*c_1001_2 + 72585/70166, c_0101_5 - 12192896/1017407*c_1001_2^8 + 1143744/1017407*c_1001_2^7 - 17203744/1017407*c_1001_2^6 + 3557824/1017407*c_1001_2^5 - 15072152/1017407*c_1001_2^4 + 8368680/1017407*c_1001_2^3 - 5007856/1017407*c_1001_2^2 + 5814070/1017407*c_1001_2 - 142751/70166, c_0101_7 - c_1001_2, c_0110_6 + 12192896/1017407*c_1001_2^8 - 1143744/1017407*c_1001_2^7 + 17203744/1017407*c_1001_2^6 - 3557824/1017407*c_1001_2^5 + 15072152/1017407*c_1001_2^4 - 8368680/1017407*c_1001_2^3 + 5007856/1017407*c_1001_2^2 - 12645547/2034814*c_1001_2 + 53834/35083, c_1001_11 + 19810816/1017407*c_1001_2^8 - 4342400/1017407*c_1001_2^7 + 28443840/1017407*c_1001_2^6 - 9820544/1017407*c_1001_2^5 + 25965648/1017407*c_1001_2^4 - 18071376/1017407*c_1001_2^3 + 10525538/1017407*c_1001_2^2 - 12745816/1017407*c_1001_2 + 130340/35083, c_1001_2^9 - 1/2*c_1001_2^8 + 3/2*c_1001_2^7 - 7/8*c_1001_2^6 + 23/16*c_1001_2^5 - 39/32*c_1001_2^4 + 25/32*c_1001_2^3 - 47/64*c_1001_2^2 + 89/256*c_1001_2 - 29/512 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.250 seconds, Total memory usage: 32.09MB