Magma V2.19-8 Wed Aug 21 2013 00:54:34 on localhost [Seed = 627261297] Type ? for help. Type -D to quit. Loading file "L12n39__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n39 geometric_solution 12.72241474 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 -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 0 1 -1 -2 0 2 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 0.476774875463 1.025127637637 0 0 5 4 0132 1302 0132 0132 1 1 1 0 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 -2 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 0.626995369172 0.802008192351 5 0 5 4 0132 0132 3012 3120 1 1 1 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 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 0.394990864615 0.773884954950 5 6 7 0 2031 0132 0132 0132 1 1 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 1 0 -1 1 0 1 -2 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.185660915030 0.893614259614 2 7 1 6 3120 1230 0132 1230 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 0.557119859632 0.611354974936 2 2 3 1 0132 1230 1302 0132 1 1 0 1 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 1 -1 0 -1 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 0.626995369172 0.802008192351 4 3 8 9 3012 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 0.268952316039 0.899843034124 9 8 4 3 0132 0132 3012 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 1 0 0 -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 0.268952316039 0.899843034124 10 7 11 6 0132 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 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 0.294832816612 0.818582477245 7 11 6 12 0132 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 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 0 0 0 0.294832816612 0.818582477245 8 11 12 12 0132 1023 2103 3201 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 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.076725258019 0.816851798625 10 9 12 8 1023 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 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 0.814810611735 1.508357267225 10 10 9 11 2103 2310 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 -1 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 0.076725258019 0.816851798625 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_8']), 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : negation(d['c_0101_8']), 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_1001_3'], 'c_1001_8' : d['c_1001_3'], 'c_1010_12' : negation(d['c_0101_8']), 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : d['c_0101_8'], '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'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_12'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(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' : d['c_0101_3'], 'c_1100_4' : d['c_0101_3'], 'c_1100_7' : negation(d['c_1001_4']), 'c_1100_6' : d['c_1100_11'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0101_0']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_11'], 'c_1100_11' : d['c_1100_11'], 'c_1100_10' : negation(d['c_0011_12']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0101_8']), 'c_1010_8' : negation(d['c_0011_4']), 'c_1100_8' : d['c_1100_11'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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' : d['c_1100_11'], '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' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : negation(d['c_0011_3']), '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_0101_8'], 'c_0110_10' : d['c_0101_8'], 'c_0110_12' : d['c_0011_12'], 'c_0101_12' : d['c_0101_10'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], '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_0101_3'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], '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' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_3']})} 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_8, c_1001_3, c_1001_4, c_1100_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 1052275793796513792/36578631451*c_1100_11^17 + 2843486961387651072/36578631451*c_1100_11^16 - 134127199550603264/1261332119*c_1100_11^15 + 3050284068511481856/36578631451*c_1100_11^14 - 1647351374430233600/36578631451*c_1100_11^13 + 1265238131181212672/36578631451*c_1100_11^12 - 1739131674649023488/36578631451*c_1100_11^11 + 1901754583943817216/36578631451*c_1100_11^10 - 1362113299758094400/36578631451*c_1100_11^9 + 609188778162132928/36578631451*c_1100_11^8 - 158496801904103680/36578631451*c_1100_11^7 + 969339298100224/2151684203*c_1100_11^6 - 12954860749315916/36578631451*c_1100_11^5 + 15541141526615724/36578631451*c_1100_11^4 - 9870949245814532/36578631451*c_1100_11^3 + 3198000126726856/36578631451*c_1100_11^2 - 667280842442903/36578631451*c_1100_11 + 89568252691777/36578631451, c_0011_0 - 1, c_0011_10 - c_1100_11, c_0011_12 - 225280/19*c_1100_11^17 + 577536/19*c_1100_11^16 - 37888*c_1100_11^15 + 477696/19*c_1100_11^14 - 10752*c_1100_11^13 + 199168/19*c_1100_11^12 - 329600/19*c_1100_11^11 + 17728*c_1100_11^10 - 203952/19*c_1100_11^9 + 66064/19*c_1100_11^8 - 6924/19*c_1100_11^7 - 1238/19*c_1100_11^6 - 3220/19*c_1100_11^5 + 3052/19*c_1100_11^4 - 1341/19*c_1100_11^3 + 471/38*c_1100_11^2 - 16/19*c_1100_11 - 3/38, c_0011_3 - 786432/19*c_1100_11^17 + 2117632/19*c_1100_11^16 - 2842624/19*c_1100_11^15 + 2155520/19*c_1100_11^14 - 1112320/19*c_1100_11^13 + 892672/19*c_1100_11^12 - 1283328/19*c_1100_11^11 + 1382656/19*c_1100_11^10 - 955104/19*c_1100_11^9 + 405168/19*c_1100_11^8 - 98624/19*c_1100_11^7 + 11892/19*c_1100_11^6 - 12281/19*c_1100_11^5 + 12393/19*c_1100_11^4 - 6969/19*c_1100_11^3 + 4145/38*c_1100_11^2 - 1621/76*c_1100_11 + 129/38, c_0011_4 - 487424/19*c_1100_11^17 + 1257472/19*c_1100_11^16 - 1641472/19*c_1100_11^15 + 1212416/19*c_1100_11^14 - 626944/19*c_1100_11^13 + 529152/19*c_1100_11^12 - 752512/19*c_1100_11^11 + 792448/19*c_1100_11^10 - 538128/19*c_1100_11^9 + 224528/19*c_1100_11^8 - 2884*c_1100_11^7 + 6944/19*c_1100_11^6 - 7491/19*c_1100_11^5 + 6993/19*c_1100_11^4 - 3778/19*c_1100_11^3 + 2277/38*c_1100_11^2 - 883/76*c_1100_11 + 39/19, c_0101_0 - 1, c_0101_1 - 917504/19*c_1100_11^17 + 2416640/19*c_1100_11^16 - 3256320/19*c_1100_11^15 + 2510848/19*c_1100_11^14 - 1351680/19*c_1100_11^13 + 1065472/19*c_1100_11^12 - 1468416/19*c_1100_11^11 + 1587712/19*c_1100_11^10 - 1124096/19*c_1100_11^9 + 26080*c_1100_11^8 - 127792/19*c_1100_11^7 + 14160/19*c_1100_11^6 - 13184/19*c_1100_11^5 + 13982/19*c_1100_11^4 - 8454/19*c_1100_11^3 + 2564/19*c_1100_11^2 - 497/19*c_1100_11 + 131/38, c_0101_10 - 552960/19*c_1100_11^17 + 1427456/19*c_1100_11^16 - 1832960/19*c_1100_11^15 + 1306112/19*c_1100_11^14 - 638976/19*c_1100_11^13 + 29696*c_1100_11^12 - 841216/19*c_1100_11^11 + 874432/19*c_1100_11^10 - 572272/19*c_1100_11^9 + 223560/19*c_1100_11^8 - 47384/19*c_1100_11^7 + 4230/19*c_1100_11^6 - 7870/19*c_1100_11^5 + 7641/19*c_1100_11^4 - 4031/19*c_1100_11^3 + 2187/38*c_1100_11^2 - 10*c_1100_11 + 73/76, c_0101_3 - 487424/19*c_1100_11^17 + 1257472/19*c_1100_11^16 - 1641472/19*c_1100_11^15 + 1212416/19*c_1100_11^14 - 626944/19*c_1100_11^13 + 529152/19*c_1100_11^12 - 752512/19*c_1100_11^11 + 792448/19*c_1100_11^10 - 538128/19*c_1100_11^9 + 224528/19*c_1100_11^8 - 2884*c_1100_11^7 + 6944/19*c_1100_11^6 - 7491/19*c_1100_11^5 + 6993/19*c_1100_11^4 - 3778/19*c_1100_11^3 + 2277/38*c_1100_11^2 - 883/76*c_1100_11 + 39/19, c_0101_8 - 139264/19*c_1100_11^17 + 358400/19*c_1100_11^16 - 471040/19*c_1100_11^15 + 346112/19*c_1100_11^14 - 176896/19*c_1100_11^13 + 150016/19*c_1100_11^12 - 217600/19*c_1100_11^11 + 228736/19*c_1100_11^10 - 152960/19*c_1100_11^9 + 63032/19*c_1100_11^8 - 16096/19*c_1100_11^7 + 2872/19*c_1100_11^6 - 2691/19*c_1100_11^5 + 1977/19*c_1100_11^4 - 1043/19*c_1100_11^3 + 617/38*c_1100_11^2 - 287/76*c_1100_11 + 37/38, c_1001_3 - 552960/19*c_1100_11^17 + 1427456/19*c_1100_11^16 - 1832960/19*c_1100_11^15 + 1306112/19*c_1100_11^14 - 638976/19*c_1100_11^13 + 29696*c_1100_11^12 - 841216/19*c_1100_11^11 + 874432/19*c_1100_11^10 - 572272/19*c_1100_11^9 + 223560/19*c_1100_11^8 - 47384/19*c_1100_11^7 + 4230/19*c_1100_11^6 - 7870/19*c_1100_11^5 + 7641/19*c_1100_11^4 - 4031/19*c_1100_11^3 + 2187/38*c_1100_11^2 - 10*c_1100_11 + 73/76, c_1001_4 - 786432/19*c_1100_11^17 + 2117632/19*c_1100_11^16 - 2842624/19*c_1100_11^15 + 2155520/19*c_1100_11^14 - 1112320/19*c_1100_11^13 + 892672/19*c_1100_11^12 - 1283328/19*c_1100_11^11 + 1382656/19*c_1100_11^10 - 955104/19*c_1100_11^9 + 405168/19*c_1100_11^8 - 98624/19*c_1100_11^7 + 11892/19*c_1100_11^6 - 12281/19*c_1100_11^5 + 12393/19*c_1100_11^4 - 6969/19*c_1100_11^3 + 4145/38*c_1100_11^2 - 1621/76*c_1100_11 + 129/38, c_1100_11^18 - 3*c_1100_11^17 + 9/2*c_1100_11^16 - 4*c_1100_11^15 + 39/16*c_1100_11^14 - 27/16*c_1100_11^13 + 65/32*c_1100_11^12 - 37/16*c_1100_11^11 + 471/256*c_1100_11^10 - 249/256*c_1100_11^9 + 171/512*c_1100_11^8 - 9/128*c_1100_11^7 + 93/4096*c_1100_11^6 - 85/4096*c_1100_11^5 + 119/8192*c_1100_11^4 - 25/4096*c_1100_11^3 + 27/16384*c_1100_11^2 - 5/16384*c_1100_11 + 1/32768 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.490 seconds, Total memory usage: 32.09MB