Magma V2.19-8 Wed Aug 21 2013 01:10:43 on localhost [Seed = 2681833082] Type ? for help. Type -D to quit. Loading file "L14n542__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n542 geometric_solution 11.81741481 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 1302 0132 0 1 1 1 0 2 -1 -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 1 -1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442908756832 0.707186015034 0 4 5 4 0132 0132 0132 1230 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 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 0.687374303816 0.872570697733 0 0 7 6 2031 0132 0132 0132 0 0 1 1 0 -2 2 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 1 -1 0 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.363892955992 1.015662929776 8 6 0 9 0132 0132 0132 0132 0 1 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 0 0 0 0 -1 1 -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 0.083553490535 1.145071817121 1 1 7 6 3012 0132 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 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 0.363892955992 1.015662929776 10 11 7 1 0132 0132 0213 0132 0 1 1 1 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 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 0.936614056459 0.868682530033 9 3 2 4 1023 0132 0132 1023 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 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 -0.312625696184 0.872570697733 11 5 4 2 3012 0213 1023 0132 0 0 1 1 0 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 -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 -0.312625696184 0.872570697733 3 9 12 10 0132 1023 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 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.031259714596 1.120411230581 8 6 3 11 1023 1023 0132 0132 0 1 1 1 0 1 1 -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 -1 1 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 0.201973134374 0.813690491058 5 12 8 12 0132 3012 0132 1302 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 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.806753498311 0.688457876912 12 5 9 7 1302 0132 0132 1230 0 1 1 1 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 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 0.614368194490 0.626426978086 10 11 10 8 1230 2031 2031 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.746137052967 0.925416676562 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_6'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0011_7']), 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_4'], 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : d['c_0110_6'], 'c_1001_0' : d['c_0101_6'], 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : d['c_0110_4'], 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_0101_4'], 'c_1010_10' : negation(d['c_0101_12']), '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' : negation(d['1']), 'c_0101_11' : negation(d['c_0011_12']), 'c_0101_10' : d['c_0101_1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(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_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : negation(d['c_1100_2']), 'c_1100_7' : d['c_1100_2'], 'c_1100_6' : d['c_1100_2'], 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_1100_2'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_2'], 'c_1100_11' : d['c_0101_2'], 'c_1100_10' : d['c_0101_12'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_4'], 'c_1010_6' : d['c_0110_4'], 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_0110_4'], 'c_1010_9' : d['c_0110_6'], 'c_1010_8' : negation(d['c_0011_12']), 'c_1100_8' : d['c_0101_12'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(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' : d['1'], 'c_1100_12' : d['c_0101_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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], '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_0011_7'], 'c_0110_10' : d['c_0011_7'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_12']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_10'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], '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_10, c_0011_12, c_0011_3, c_0011_7, c_0101_1, c_0101_12, c_0101_2, c_0101_4, c_0101_6, c_0110_4, c_0110_6, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 45561/1703936*c_1100_2^8 + 4729089/11927552*c_1100_2^7 + 3285627/11927552*c_1100_2^6 - 13903945/5963776*c_1100_2^5 + 214329/5963776*c_1100_2^4 + 69690457/11927552*c_1100_2^3 - 17089713/11927552*c_1100_2^2 - 2745375/425984*c_1100_2 + 2650889/745472, c_0011_0 - 1, c_0011_10 + 3/32*c_1100_2^8 + 1/32*c_1100_2^7 - 25/32*c_1100_2^6 - 1/8*c_1100_2^5 + 49/16*c_1100_2^4 + 7/32*c_1100_2^3 - 181/32*c_1100_2^2 - 1/16*c_1100_2 + 5, c_0011_12 + 1/2*c_1100_2^8 - 1/8*c_1100_2^7 - 27/8*c_1100_2^6 + 7/8*c_1100_2^5 + 21/2*c_1100_2^4 - 9/4*c_1100_2^3 - 133/8*c_1100_2^2 + 19/8*c_1100_2 + 47/4, c_0011_3 - 3/32*c_1100_2^8 - 1/32*c_1100_2^7 + 25/32*c_1100_2^6 + 1/8*c_1100_2^5 - 49/16*c_1100_2^4 - 7/32*c_1100_2^3 + 213/32*c_1100_2^2 + 1/16*c_1100_2 - 7, c_0011_7 - 3/32*c_1100_2^8 - 1/32*c_1100_2^7 + 25/32*c_1100_2^6 + 1/8*c_1100_2^5 - 49/16*c_1100_2^4 - 7/32*c_1100_2^3 + 213/32*c_1100_2^2 + 1/16*c_1100_2 - 7, c_0101_1 + c_1100_2, c_0101_12 - 1/4*c_1100_2^8 - 1/8*c_1100_2^7 + 13/8*c_1100_2^6 + 1/8*c_1100_2^5 - 5*c_1100_2^4 + 1/2*c_1100_2^3 + 63/8*c_1100_2^2 - 15/8*c_1100_2 - 23/4, c_0101_2 + 1/16*c_1100_2^8 - 1/16*c_1100_2^7 - 7/16*c_1100_2^6 + 1/2*c_1100_2^5 + 11/8*c_1100_2^4 - 27/16*c_1100_2^3 - 35/16*c_1100_2^2 + 15/8*c_1100_2 + 3/2, c_0101_4 - 1, c_0101_6 - 1, c_0110_4 - 1/16*c_1100_2^8 + 1/16*c_1100_2^7 + 7/16*c_1100_2^6 - 1/2*c_1100_2^5 - 11/8*c_1100_2^4 + 27/16*c_1100_2^3 + 35/16*c_1100_2^2 - 23/8*c_1100_2 - 3/2, c_0110_6 - 1/16*c_1100_2^8 + 1/16*c_1100_2^7 + 7/16*c_1100_2^6 - 1/2*c_1100_2^5 - 11/8*c_1100_2^4 + 27/16*c_1100_2^3 + 35/16*c_1100_2^2 - 15/8*c_1100_2 - 3/2, c_1100_2^9 - c_1100_2^8 - 7*c_1100_2^7 + 8*c_1100_2^6 + 22*c_1100_2^5 - 27*c_1100_2^4 - 35*c_1100_2^3 + 46*c_1100_2^2 + 24*c_1100_2 - 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB