Magma V2.19-8 Tue Aug 20 2013 18:07:35 on localhost [Seed = 4155919619] Type ? for help. Type -D to quit. Loading file "10_104__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_104 geometric_solution 14.10712669 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 15 1 2 3 4 0132 0132 0132 0132 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 0 -1 1 0 0 0 0 0 -1 0 1 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.253905465779 0.608132094426 0 5 3 2 0132 0132 1023 1023 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 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 0.847574541854 0.939932061579 6 0 4 1 0132 0132 0132 1023 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 0 0 0 0 0 0 0 0 -2 2 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453641968783 1.002418090375 7 7 1 0 0132 1230 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.841209979854 1.197622355079 8 9 0 2 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.144435309938 0.730395763761 10 1 8 11 0132 0132 0213 0132 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 -1 1 0 0 -1 1 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.973521601348 0.586071669812 2 10 12 12 0132 0132 0132 0321 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 1 -1 0 0 0 0 0 1 0 0 -1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.596527836426 0.551928885755 3 13 3 11 0132 0132 3012 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.607266067842 0.559131427366 4 5 12 11 0132 0213 1302 1023 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 1 0 -1 0 0 0 0 -1 1 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.696781421279 0.886164771969 13 4 14 14 2031 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0.632946031791 0.497362259481 5 6 13 13 0132 0132 2031 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0.591661596392 1.020889825607 14 7 5 8 0132 1302 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357621882212 0.914604555541 8 6 14 6 2031 0321 0321 0132 0 0 0 0 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 -3 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.096814428695 0.835659587969 10 7 9 10 3201 0132 1302 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.337761098312 0.844438989097 11 9 12 9 0132 0321 0321 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0.023216202306 0.767546318714 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_14' : d['c_1001_12'], 'c_1001_11' : d['c_0101_3'], 'c_1001_10' : negation(d['c_0110_13']), 'c_1001_13' : d['c_0011_11'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_13']), 'c_1001_6' : negation(d['c_0110_13']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_2'], 'c_1001_8' : d['c_0101_6'], 'c_1010_13' : negation(d['c_0011_13']), 'c_1010_12' : negation(d['c_0110_13']), 'c_1010_11' : d['c_0101_1'], 'c_1010_10' : negation(d['c_0110_13']), 'c_1010_14' : d['c_1001_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 'c_0101_14' : negation(d['c_0101_12']), '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_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_14' : 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_14' : negation(d['c_0011_11']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_12'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_12']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_1']), 'c_1100_6' : d['c_1001_12'], 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_1100_14' : d['c_1001_12'], 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : d['c_0011_13'], 'c_1100_13' : d['c_0101_10'], 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : negation(d['c_0110_13']), 'c_1010_5' : d['c_0101_3'], 's_0_13' : d['1'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0101_12']), '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' : d['c_1001_12'], '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_3_11' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_13']), 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_13'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_12']), 'c_0110_10' : negation(d['c_0011_4']), 'c_0110_13' : d['c_0110_13'], 'c_0110_12' : d['c_0101_6'], 'c_0110_14' : d['c_0101_10'], 'c_1010_4' : d['c_1001_2'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 's_0_8' : d['1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_12']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0011_12']), 'c_0011_10' : negation(d['c_0011_0']), 's_1_14' : d['1'], 's_1_13' : d['1'], '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_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_12'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0011_12']), 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0011_12']), 'c_0101_13' : d['c_0011_4']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_12, c_0011_13, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_3, c_0101_6, c_0110_13, c_1001_12, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 12578765723/29225477*c_1100_0^6 + 121564310472/29225477*c_1100_0^5 + 383364709204/29225477*c_1100_0^4 - 8757029263/80957*c_1100_0^3 + 6601074636141/29225477*c_1100_0^2 - 6165435521874/29225477*c_1100_0 + 728207735900/29225477, c_0011_0 - 1, c_0011_11 - 7701/21071*c_1100_0^6 + 119219/21071*c_1100_0^5 - 463673/21071*c_1100_0^4 + 43148/1109*c_1100_0^3 - 749763/21071*c_1100_0^2 + 165022/21071*c_1100_0 - 5127/21071, c_0011_12 + 12750/21071*c_1100_0^6 - 202406/21071*c_1100_0^5 + 840512/21071*c_1100_0^4 - 83357/1109*c_1100_0^3 + 1505624/21071*c_1100_0^2 - 481553/21071*c_1100_0 + 63887/21071, c_0011_13 - 1803/21071*c_1100_0^6 + 28692/21071*c_1100_0^5 - 119245/21071*c_1100_0^4 + 11599/1109*c_1100_0^3 - 216909/21071*c_1100_0^2 + 96144/21071*c_1100_0 - 2604/21071, c_0011_4 - 6816/21071*c_1100_0^6 + 109483/21071*c_1100_0^5 - 468495/21071*c_1100_0^4 + 48135/1109*c_1100_0^3 - 911642/21071*c_1100_0^2 + 333308/21071*c_1100_0 - 49602/21071, c_0101_0 + 1340/21071*c_1100_0^6 - 21289/21071*c_1100_0^5 + 90435/21071*c_1100_0^4 - 10168/1109*c_1100_0^3 + 231433/21071*c_1100_0^2 - 118996/21071*c_1100_0 + 18729/21071, c_0101_1 - 12563/21071*c_1100_0^6 + 199325/21071*c_1100_0^5 - 826555/21071*c_1100_0^4 + 81991/1109*c_1100_0^3 - 1504163/21071*c_1100_0^2 + 508850/21071*c_1100_0 - 71856/21071, c_0101_10 + 1069/21071*c_1100_0^6 - 19641/21071*c_1100_0^5 + 110435/21071*c_1100_0^4 - 14279/1109*c_1100_0^3 + 319121/21071*c_1100_0^2 - 178837/21071*c_1100_0 + 48419/21071, c_0101_12 - 8890/21071*c_1100_0^6 + 139823/21071*c_1100_0^5 - 567740/21071*c_1100_0^4 + 55623/1109*c_1100_0^3 - 1040863/21071*c_1100_0^2 + 369611/21071*c_1100_0 - 64658/21071, c_0101_3 - 17576/21071*c_1100_0^6 + 280116/21071*c_1100_0^5 - 1175805/21071*c_1100_0^4 + 118527/1109*c_1100_0^3 - 2198896/21071*c_1100_0^2 + 746014/21071*c_1100_0 - 97783/21071, c_0101_6 - 187/21071*c_1100_0^6 + 3081/21071*c_1100_0^5 - 13957/21071*c_1100_0^4 + 1366/1109*c_1100_0^3 - 1461/21071*c_1100_0^2 - 27297/21071*c_1100_0 + 7969/21071, c_0110_13 - 3944/21071*c_1100_0^6 + 61150/21071*c_1100_0^5 - 238815/21071*c_1100_0^4 + 22257/1109*c_1100_0^3 - 375612/21071*c_1100_0^2 + 79398/21071*c_1100_0 - 19650/21071, c_1001_12 - 6816/21071*c_1100_0^6 + 109483/21071*c_1100_0^5 - 468495/21071*c_1100_0^4 + 48135/1109*c_1100_0^3 - 911642/21071*c_1100_0^2 + 333308/21071*c_1100_0 - 49602/21071, c_1001_2 - 1803/21071*c_1100_0^6 + 28692/21071*c_1100_0^5 - 119245/21071*c_1100_0^4 + 11599/1109*c_1100_0^3 - 216909/21071*c_1100_0^2 + 96144/21071*c_1100_0 - 23675/21071, c_1100_0^7 - 16*c_1100_0^6 + 68*c_1100_0^5 - 134*c_1100_0^4 + 140*c_1100_0^3 - 60*c_1100_0^2 + 13*c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 77.980 Total time: 78.189 seconds, Total memory usage: 881.66MB