Magma V2.19-8 Tue Aug 20 2013 23:44:04 on localhost [Seed = 3701127472] Type ? for help. Type -D to quit. Loading file "L14n1621__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n1621 geometric_solution 10.44861816 oriented_manifold CS_known 0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 1 2 3 0132 1230 0132 0132 1 1 0 1 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 1 0 -1 0 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.457255517537 1.377651271290 0 4 0 5 0132 0132 3012 0132 1 1 1 0 0 0 -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 0 13 -13 0 0 -1 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 0.782983248718 0.653843183576 6 7 8 0 0132 0132 0132 0132 1 1 1 1 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 13 0 0 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.346156816424 0.782983248718 4 4 0 9 0132 1302 0132 0132 1 1 1 0 0 0 0 0 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 0 0 0 0 0 0 0 -12 0 0 12 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.457255517537 1.377651271290 3 1 7 3 0132 0132 1023 2031 1 1 0 1 0 0 0 0 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 0 0 0 0 0 0 0 -1 -1 0 2 12 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.247546553969 0.628348764103 6 10 1 9 2103 0132 0132 3120 1 1 1 1 0 1 -1 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 -13 13 0 1 0 -1 0 -12 0 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.628348764103 0.752453446031 2 7 5 9 0132 1302 2103 3201 1 1 1 1 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 0 12 -12 0 0 -1 1 0 0 0 0 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.062929784434 0.644520592731 10 2 4 6 3012 0132 1023 2031 1 1 1 1 0 0 0 0 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 0 0 0 0 0 0 0 13 0 0 -13 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.527680706138 1.068354218651 10 10 9 2 2310 1023 0132 0132 1 1 1 1 0 0 0 0 0 0 0 0 1 -1 0 0 -1 0 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 -12 12 0 0 13 0 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.062929784434 0.644520592731 5 6 3 8 3120 2310 0132 0132 1 1 1 1 0 0 0 0 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 0 0 0 0 0 0 0 -12 -1 0 13 0 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.346156816424 0.782983248718 8 5 8 7 1023 0132 3201 1230 1 1 1 1 0 -1 1 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 13 -13 0 1 0 12 -13 -12 0 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.849941002503 1.536889326434 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0011_2']), 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_0101_10'], 'c_1010_10' : d['c_0101_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_10' : d['c_0101_10'], '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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_4']), 'c_1100_4' : negation(d['c_1001_9']), 'c_1100_7' : d['c_1001_9'], 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_1100_10' : negation(d['c_0011_10']), 'c_1010_7' : negation(d['c_0011_2']), 'c_1010_6' : negation(d['c_1001_9']), 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_9'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : negation(d['c_0011_2']), 'c_1100_8' : d['c_1100_0'], 's_3_1' : negation(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'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(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_10'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_2'], 'c_0110_10' : negation(d['c_0011_2']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_4'], 'c_0101_8' : d['c_0011_9'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_9'], 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_9'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : negation(d['c_0101_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_2, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_4, c_0101_7, c_1001_9, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 15553/30634*c_1100_0^5 + 193895/122536*c_1100_0^4 - 384539/122536*c_1100_0^3 + 1649609/245072*c_1100_0^2 - 1260765/122536*c_1100_0 + 2001123/245072, c_0011_0 - 1, c_0011_10 - 16/53*c_1100_0^5 + 30/53*c_1100_0^4 - 57/53*c_1100_0^3 + 140/53*c_1100_0^2 - 168/53*c_1100_0 + 62/53, c_0011_2 + 27/106*c_1100_0^5 - 22/53*c_1100_0^4 + 199/212*c_1100_0^3 - 499/212*c_1100_0^2 + 461/212*c_1100_0 - 143/212, c_0011_9 + 27/106*c_1100_0^5 - 22/53*c_1100_0^4 + 199/212*c_1100_0^3 - 499/212*c_1100_0^2 + 461/212*c_1100_0 - 143/212, c_0101_0 - 1, c_0101_1 - 13/53*c_1100_0^5 + 31/53*c_1100_0^4 - 139/106*c_1100_0^3 + 127/53*c_1100_0^2 - 379/106*c_1100_0 + 110/53, c_0101_10 - 16/53*c_1100_0^5 + 30/53*c_1100_0^4 - 57/53*c_1100_0^3 + 140/53*c_1100_0^2 - 168/53*c_1100_0 + 62/53, c_0101_4 - 8/53*c_1100_0^5 + 15/53*c_1100_0^4 - 55/53*c_1100_0^3 + 193/106*c_1100_0^2 - 137/53*c_1100_0 + 115/106, c_0101_7 + c_1100_0, c_1001_9 + 1, c_1100_0^6 - 3*c_1100_0^5 + 13/2*c_1100_0^4 - 14*c_1100_0^3 + 22*c_1100_0^2 - 19*c_1100_0 + 17/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB