Magma V2.19-8 Tue Aug 20 2013 17:58:13 on localhost [Seed = 3297079442] Type ? for help. Type -D to quit. Loading file "10_108__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_108 geometric_solution 12.90462395 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 14 1 2 1 3 0132 0132 3120 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 1 0 -1 0 0 -1 1 0 0 0 0 -1 -4 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.465402150701 0.746390096628 0 4 0 5 0132 0132 3120 0132 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 5 -5 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 0.465402150701 0.746390096628 6 0 8 7 0132 0132 0132 0132 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 -1 1 0 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.962282196297 0.918050965965 9 10 0 9 0132 0132 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.900548307982 0.591410753184 11 1 7 7 0132 0132 1230 3201 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 -5 5 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 0.603031014574 1.013951652183 12 8 1 6 0132 1230 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.497921703857 0.373294771516 2 11 5 13 0132 0132 1230 0132 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 0 0 0 0 0 0 0 0 4 1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.533449763496 1.355689684583 10 4 2 4 0321 2310 0132 3012 0 0 0 0 0 0 0 0 -1 0 0 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 5 0 0 -5 1 -1 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.566708489729 0.728547341842 10 13 5 2 2103 3120 3012 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 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.504966941565 0.628169606673 3 13 12 3 0132 0321 1023 2103 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 -1 0 1 0 -1 0 0 1 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.900548307982 0.591410753184 7 3 8 13 0321 0132 2103 3120 0 0 0 0 0 0 0 0 -1 0 0 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 4 0 0 -4 -1 1 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.052348418481 1.134867210577 4 6 12 12 0132 0132 3012 1023 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 -4 4 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 0.170425696392 0.539148716519 5 11 9 11 0132 1230 1023 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 0 -1 1 0 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.466963713742 1.686282266574 10 8 6 9 3120 3120 0132 0321 0 0 0 0 0 1 -1 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 -5 5 0 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.499776728306 1.567184736840 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : d['c_0011_8'], 'c_1001_13' : negation(d['c_0011_12']), 'c_1001_12' : d['c_0101_9'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_13']), 'c_1001_2' : negation(d['c_0011_13']), 'c_1001_9' : d['c_0101_12'], 'c_1001_8' : d['c_0011_12'], 'c_1010_13' : negation(d['c_0011_8']), 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : d['c_0101_0'], 'c_1010_10' : negation(d['c_0011_13']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_0_13' : d['1'], 'c_0101_13' : d['c_0101_13'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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' : 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_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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_9']), 'c_1100_8' : negation(d['c_1001_4']), 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : negation(d['c_1001_4']), 'c_1100_6' : d['c_0101_12'], 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : negation(d['c_1001_4']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_9']), 'c_1100_10' : negation(d['c_0101_13']), 'c_1100_13' : d['c_0101_12'], 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : negation(d['c_0011_12']), 'c_1010_5' : d['c_0101_10'], 's_3_12' : d['1'], 'c_1010_3' : d['c_0011_8'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_13']), 'c_1010_9' : negation(d['c_0011_8']), 'c_1010_8' : negation(d['c_0011_13']), '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_0101_9'], '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_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' : negation(d['c_0011_12']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_11'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_13' : negation(d['c_0011_10']), 'c_0110_12' : d['c_0101_0'], 'c_1010_4' : negation(d['c_1001_0']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_11'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_13'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 's_2_8' : 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_0101_1'], 'c_0110_8' : d['c_0101_13'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_9'], 'c_0110_2' : negation(d['c_0101_10']), 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_13']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_13, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_13, c_0101_9, c_1001_0, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 500861/28*c_1001_4^6 + 1878537/56*c_1001_4^5 + 509429/56*c_1001_4^4 - 16291007/56*c_1001_4^3 - 14967471/28*c_1001_4^2 - 16209667/56*c_1001_4 - 2792103/56, c_0011_0 - 1, c_0011_10 - 20*c_1001_4^6 - 32*c_1001_4^5 - 7*c_1001_4^4 + 323*c_1001_4^3 + 511*c_1001_4^2 + 273*c_1001_4 + 48, c_0011_12 + 15*c_1001_4^6 + 22*c_1001_4^5 + 3*c_1001_4^4 - 242*c_1001_4^3 - 351*c_1001_4^2 - 168*c_1001_4 - 25, c_0011_13 + 32*c_1001_4^6 + 52*c_1001_4^5 + 12*c_1001_4^4 - 517*c_1001_4^3 - 830*c_1001_4^2 - 449*c_1001_4 - 80, c_0011_8 - 14*c_1001_4^6 - 21*c_1001_4^5 - 3*c_1001_4^4 + 226*c_1001_4^3 + 335*c_1001_4^2 + 161*c_1001_4 + 23, c_0101_0 + c_1001_4^6 + 2*c_1001_4^5 + c_1001_4^4 - 16*c_1001_4^3 - 32*c_1001_4^2 - 24*c_1001_4 - 6, c_0101_1 + c_1001_4^6 + 2*c_1001_4^5 + c_1001_4^4 - 16*c_1001_4^3 - 32*c_1001_4^2 - 24*c_1001_4 - 7, c_0101_10 + 28*c_1001_4^6 + 44*c_1001_4^5 + 9*c_1001_4^4 - 452*c_1001_4^3 - 702*c_1001_4^2 - 368*c_1001_4 - 63, c_0101_11 - 16*c_1001_4^6 - 24*c_1001_4^5 - 4*c_1001_4^4 + 258*c_1001_4^3 + 383*c_1001_4^2 + 193*c_1001_4 + 32, c_0101_12 - 28*c_1001_4^6 - 44*c_1001_4^5 - 9*c_1001_4^4 + 452*c_1001_4^3 + 702*c_1001_4^2 + 368*c_1001_4 + 63, c_0101_13 - 34*c_1001_4^6 - 55*c_1001_4^5 - 13*c_1001_4^4 + 549*c_1001_4^3 + 878*c_1001_4^2 + 480*c_1001_4 + 88, c_0101_9 + 20*c_1001_4^6 + 32*c_1001_4^5 + 7*c_1001_4^4 - 323*c_1001_4^3 - 511*c_1001_4^2 - 273*c_1001_4 - 48, c_1001_0 - 16*c_1001_4^6 - 24*c_1001_4^5 - 4*c_1001_4^4 + 258*c_1001_4^3 + 383*c_1001_4^2 + 193*c_1001_4 + 31, c_1001_4^7 + 2*c_1001_4^6 + c_1001_4^5 - 16*c_1001_4^4 - 32*c_1001_4^3 - 24*c_1001_4^2 - 8*c_1001_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 42.520 Total time: 42.729 seconds, Total memory usage: 190.81MB