Magma V2.19-8 Wed Aug 21 2013 01:00:30 on localhost [Seed = 2648409751] Type ? for help. Type -D to quit. Loading file "L13n9504__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9504 geometric_solution 12.27378513 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 0 2 0 0 1 -1 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 1 1 -2 -1 0 1 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 -0.034512886691 0.773233200078 0 5 2 6 0132 0132 1023 0132 2 1 2 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 1 0 -1 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 0.485358733091 0.753979815281 7 0 1 8 0132 0132 1023 0132 1 2 2 0 0 0 0 0 0 0 0 0 -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 -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 1.178984261165 1.149697288759 9 10 11 0 0132 0132 0132 0132 1 1 2 2 0 1 0 -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 1 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 0 0 0 0.849212573014 1.132204960766 7 5 0 9 3012 1302 0132 1023 1 1 2 0 0 -1 1 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 2 -1 0 0 0 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 -0.034512886691 0.773233200078 7 1 12 4 1023 0132 0132 2031 2 1 0 2 0 0 0 0 -1 0 0 1 -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 -1 0 0 1 -2 0 0 2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.396364026349 0.937717421941 11 10 1 12 1023 1023 0132 3120 2 1 2 2 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 -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 0.716517754433 0.636586153326 2 5 10 4 0132 1023 0132 1230 1 2 0 2 0 1 -1 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 -1 0 0 0 0 0 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.132204960766 0.849212573014 12 10 2 9 1302 0213 0132 0321 1 2 2 2 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 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 0.774196191533 0.988478679637 3 8 11 4 0132 0321 1023 1023 1 1 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 -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 0.849212573014 1.132204960766 6 3 8 7 1023 0132 0213 0132 1 2 2 2 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 -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 0.508905168766 0.627020354354 12 6 9 3 2103 1023 1023 0132 1 1 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 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.303629928245 0.776058254720 6 8 11 5 3120 2031 2103 0132 2 1 2 2 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 1 -1 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 0.583772330798 1.310915897882 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_0'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0011_8'], 'c_1010_11' : d['c_0101_5'], 'c_1010_10' : d['c_0101_5'], 's_3_11' : 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' : d['c_0101_11'], 'c_0101_10' : d['c_0011_8'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : 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' : 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' : negation(d['c_0101_3']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0110_4'], 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_11'], 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_1100_0']), 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_0110_4'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0011_12']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0110_4'], 'c_1010_8' : d['c_0110_4'], 'c_1100_8' : d['c_0101_11'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : 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' : negation(d['c_0101_3']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_11'], 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_12']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_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_12']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_4'], 'c_0110_6' : d['c_0101_5']})} 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_4, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_5, c_0110_4, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 2208433/1912372*c_1100_0^5 - 48284499/3824744*c_1100_0^4 + 75900875/1912372*c_1100_0^3 - 44594205/1912372*c_1100_0^2 - 4544737/956186*c_1100_0 - 1732407/68299, c_0011_0 - 1, c_0011_10 + 79/6209*c_1100_0^5 - 990/6209*c_1100_0^4 + 3060/6209*c_1100_0^3 - 56/887*c_1100_0^2 + 1235/6209*c_1100_0 - 4118/6209, c_0011_12 + 237/12418*c_1100_0^5 - 1485/6209*c_1100_0^4 + 4590/6209*c_1100_0^3 - 84/887*c_1100_0^2 - 1252/6209*c_1100_0 + 32/6209, c_0011_4 - 267/12418*c_1100_0^5 + 1280/6209*c_1100_0^4 - 2263/6209*c_1100_0^3 - 725/887*c_1100_0^2 + 2668/6209*c_1100_0 + 5387/6209, c_0011_8 - 407/12418*c_1100_0^5 + 2393/6209*c_1100_0^4 - 7961/6209*c_1100_0^3 + 526/887*c_1100_0^2 + 3067/6209*c_1100_0 + 3770/6209, c_0101_0 - 1, c_0101_1 - 1, c_0101_11 + 10/887*c_1100_0^5 - 159/887*c_1100_0^4 + 814/887*c_1100_0^3 - 1251/887*c_1100_0^2 - 57/887*c_1100_0 + 231/887, c_0101_3 - 7/1774*c_1100_0^5 + 100/887*c_1100_0^4 - 551/887*c_1100_0^3 + 837/887*c_1100_0^2 - 734/887*c_1100_0 + 407/887, c_0101_5 + 111/1774*c_1100_0^5 - 572/887*c_1100_0^4 + 1768/887*c_1100_0^3 - 1488/887*c_1100_0^2 + 615/887*c_1100_0 - 625/887, c_0110_4 - 85/1774*c_1100_0^5 + 454/887*c_1100_0^4 - 1242/887*c_1100_0^3 - 227/887*c_1100_0^2 + 1351/887*c_1100_0 + 127/887, c_1001_0 - c_1100_0 + 1, c_1100_0^6 - 12*c_1100_0^5 + 46*c_1100_0^4 - 56*c_1100_0^3 + 12*c_1100_0^2 - 8*c_1100_0 + 28 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.270 seconds, Total memory usage: 32.09MB