Magma V2.19-8 Wed Aug 21 2013 00:05:21 on localhost [Seed = 1090990028] Type ? for help. Type -D to quit. Loading file "L9a6__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L9a6 geometric_solution 11.29496914 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1230 0132 0132 0 0 1 1 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 0 -1 -1 0 0 1 0 1 0 -1 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453487024088 0.937872700339 0 4 0 5 0132 0132 3012 0132 1 0 1 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 0 0 0 0 0 -6 6 0 1 0 -1 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 0.582138079378 0.864195152332 6 4 7 0 0132 1230 0132 0132 0 0 1 1 0 1 0 -1 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 -1 7 0 -6 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592051482148 1.006161812373 6 8 0 9 3120 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 0.450498495469 1.191840545907 10 1 2 10 0132 0132 3012 2031 1 0 1 1 0 -1 1 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 6 -6 0 1 0 -1 0 0 -1 0 1 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.463822026698 0.795966492708 8 6 1 9 2031 2103 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.633180783210 0.221836082139 2 5 8 3 0132 2103 2031 3120 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 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 0.909950514481 0.835436660554 11 11 10 2 0132 1302 1023 0132 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 0 0 0 -1 0 1 0 0 0 0 1 -7 0 6 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456475552708 0.683904854771 11 3 5 6 1230 0132 1302 1302 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 -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 0.134156560399 0.436207133089 11 5 3 10 2103 1302 0132 1023 0 0 1 1 0 0 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 1 -1 1 0 -1 0 7 0 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518491843502 0.546584623480 4 4 7 9 0132 1302 1023 1023 0 0 1 1 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 0 0 0 -1 0 0 1 -7 0 0 7 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453487024088 0.937872700339 7 8 9 7 0132 3012 2103 2031 1 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 0 0 0 0 0 0 0 0 0 0 0 -7 7 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 0.712216785318 0.896166712565 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_3'], 'c_1001_10' : d['c_0101_10'], 'c_1001_5' : negation(d['c_0011_2']), 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : negation(d['c_0011_11']), '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' : d['c_0110_9'], 'c_1001_9' : d['c_0110_5'], 'c_1001_8' : d['c_0110_5'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : d['c_0110_9'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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_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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_4']), 'c_1100_4' : negation(d['c_0110_9']), 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_0101_1']), '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'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : negation(d['c_0110_9']), 'c_1100_10' : negation(d['c_1100_0']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_9'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0011_2']), 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0101_4'], 'c_1010_8' : d['c_0101_1'], 'c_1100_8' : d['c_0101_0'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : 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' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(d['1']), 'c_0011_9' : d['c_0011_3'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), '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' : d['c_0011_3'], 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_4'], 'c_0101_7' : d['c_0101_10'], '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' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0011_11'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_11'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_2, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_4, c_0110_5, c_0110_9, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 1058661441/3188356480*c_1100_0^6 + 46485630741/3188356480*c_1100_0^5 - 22653913345/637671296*c_1100_0^4 + 12614513279/318835648*c_1100_0^3 - 6497377157/3188356480*c_1100_0^2 - 54707342147/3188356480*c_1100_0 + 4441219843/398544560, c_0011_0 - 1, c_0011_11 + 3389283/199272280*c_1100_0^6 - 149112913/199272280*c_1100_0^5 + 74159565/39854456*c_1100_0^4 - 11933519/9963614*c_1100_0^3 - 235517109/199272280*c_1100_0^2 + 216583111/199272280*c_1100_0 + 63165769/99636140, c_0011_2 + 421718/24909035*c_1100_0^6 - 17964483/24909035*c_1100_0^5 + 4272118/4981807*c_1100_0^4 - 2839476/4981807*c_1100_0^3 - 4618889/24909035*c_1100_0^2 - 31379949/24909035*c_1100_0 - 13557132/24909035, c_0011_3 + 39327/39854456*c_1100_0^6 - 2058565/39854456*c_1100_0^5 + 19367701/39854456*c_1100_0^4 - 16199809/9963614*c_1100_0^3 + 40993063/39854456*c_1100_0^2 + 4211211/39854456*c_1100_0 - 37388051/19927228, c_0101_0 - 1, c_0101_1 - 1820009/49818070*c_1100_0^6 + 78361049/49818070*c_1100_0^5 - 25357125/9963614*c_1100_0^4 + 6668679/4981807*c_1100_0^3 + 94600427/49818070*c_1100_0^2 - 41438713/49818070*c_1100_0 + 1801158/24909035, c_0101_10 + 1820009/49818070*c_1100_0^6 - 78361049/49818070*c_1100_0^5 + 25357125/9963614*c_1100_0^4 - 6668679/4981807*c_1100_0^3 - 94600427/49818070*c_1100_0^2 + 41438713/49818070*c_1100_0 - 1801158/24909035, c_0101_11 + 43926/4981807*c_1100_0^6 - 1773338/4981807*c_1100_0^5 - 1982805/4981807*c_1100_0^4 + 5226524/4981807*c_1100_0^3 - 7566968/4981807*c_1100_0^2 - 6055335/4981807*c_1100_0 + 1101703/4981807, c_0101_4 + 91458/24909035*c_1100_0^6 - 3111803/24909035*c_1100_0^5 - 5927929/4981807*c_1100_0^4 + 14614131/4981807*c_1100_0^3 - 46696634/24909035*c_1100_0^2 - 43217199/24909035*c_1100_0 + 24336013/24909035, c_0110_5 + 399081/24909035*c_1100_0^6 - 17352511/24909035*c_1100_0^5 + 6848983/4981807*c_1100_0^4 + 2133145/4981807*c_1100_0^3 - 55060303/24909035*c_1100_0^2 + 24440882/24909035*c_1100_0 + 37617471/24909035, c_0110_9 - 1, c_1100_0^7 - 43*c_1100_0^6 + 67*c_1100_0^5 - 20*c_1100_0^4 - 103*c_1100_0^3 + 53*c_1100_0^2 + 22*c_1100_0 - 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB