Magma V2.19-8 Tue Aug 20 2013 19:35:36 on localhost [Seed = 240099608] Type ? for help. Type -D to quit. Loading file "11_280__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_280 geometric_solution 13.79481497 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 15 1 2 3 2 0132 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357166410213 0.989841094450 0 4 4 5 0132 0132 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.820574116465 1.092801857657 0 0 7 6 3012 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.461467457483 0.710571850048 8 9 10 0 0132 0132 0132 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 0 0 -1 0 0 1 1 0 0 -1 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.530397440308 0.869218392457 1 1 10 11 2031 0132 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 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 0.560616477337 0.585150226110 6 10 1 11 0213 3201 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.239219567266 0.351374936122 5 12 2 13 0213 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0.425615099710 0.781933920415 9 12 14 2 3012 0213 0132 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 0 -1 1 0 0 0 0 1 0 0 -1 0 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.038389879561 1.262710098270 3 14 12 11 0132 3120 1302 0213 0 0 0 0 0 0 0 0 0 0 -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 1 0 10 -11 11 -11 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.632693933344 0.668750025814 13 3 12 7 1230 0132 0132 1230 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 1 0 0 -1 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.914368915842 0.732792582623 4 14 5 3 2310 1023 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.256761478696 1.586832627395 5 13 4 8 3012 2031 0132 0213 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 -11 0 11 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.370276044377 0.733940928843 8 6 7 9 2031 0132 0213 0132 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 0 0 0 0 0 0 0 0 0 0 0 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.699467077751 0.820397324217 11 9 6 14 1302 3012 0132 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 0 0 0 0 0 0 1 -1 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.660336343909 1.733206354493 10 8 13 7 1023 3120 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 0 1 0 0 0 0 -1 11 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.057584895153 0.562876059141 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_14' : negation(d['c_0101_9']), 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_13' : d['c_0011_3'], 'c_1001_12' : d['c_0011_3'], 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : negation(d['c_0101_10']), 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_11'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_9'], 'c_1010_13' : negation(d['c_0101_9']), 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : d['c_0011_13'], 'c_1010_10' : d['c_0101_7'], 'c_1010_14' : d['c_0011_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_3_13' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : 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'], 'c_0101_14' : negation(d['c_0101_11']), '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_2_14' : 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_0011_14' : d['c_0011_10'], 'c_1100_9' : d['c_0101_2'], 'c_1100_8' : d['c_0011_13'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : d['c_1100_13'], 'c_1100_6' : d['c_1100_13'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_1100_13'], 'c_1100_14' : d['c_1100_13'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0011_5'], 'c_1100_13' : d['c_1100_13'], 's_0_11' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_10']), 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : negation(d['c_0011_10']), '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_2'], '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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_13'], 'c_0011_6' : negation(d['c_0011_12']), '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' : negation(d['c_0101_3']), 'c_0110_10' : d['c_0101_3'], 'c_0110_13' : negation(d['c_0101_11']), 'c_0110_12' : d['c_0101_9'], 'c_0110_14' : d['c_0101_7'], 's_0_13' : d['1'], 'c_0101_12' : d['c_0011_13'], 'c_0110_0' : negation(d['c_0011_0']), 's_0_8' : d['1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0011_12']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : negation(d['c_0011_12']), 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_12']), 'c_0011_10' : d['c_0011_10'], 's_1_14' : 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_0011_13'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : negation(d['c_0011_12']), 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0011_12']), 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_11']), 'c_0101_13' : negation(d['c_0011_11'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0011_3, c_0011_5, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_7, c_0101_9, c_1001_0, c_1100_13 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 189/11*c_1100_13^5 - 6859/77*c_1100_13^4 - 23717/154*c_1100_13^3 - 17715/154*c_1100_13^2 - 485/22*c_1100_13 - 6896/77, c_0011_0 - 1, c_0011_10 + 1/4*c_1100_13^5 + 3/2*c_1100_13^4 + 13/4*c_1100_13^3 + 3*c_1100_13^2 + 3/4*c_1100_13 + 1, c_0011_11 + 1/4*c_1100_13^5 + 3/2*c_1100_13^4 + 11/4*c_1100_13^3 + 3/2*c_1100_13^2 - 3/4*c_1100_13 + 1, c_0011_12 + 1/4*c_1100_13^5 + 3/2*c_1100_13^4 + 13/4*c_1100_13^3 + 3*c_1100_13^2 + 3/4*c_1100_13 + 1, c_0011_13 + 1/4*c_1100_13^5 + 5/4*c_1100_13^4 + 7/4*c_1100_13^3 + 3/4*c_1100_13^2 - 1/4*c_1100_13 + 5/4, c_0011_3 - 1/4*c_1100_13^5 - 5/4*c_1100_13^4 - 7/4*c_1100_13^3 - 3/4*c_1100_13^2 + 1/4*c_1100_13 - 5/4, c_0011_5 - 1/4*c_1100_13^4 - c_1100_13^3 - 5/4*c_1100_13^2 + 3/4, c_0101_10 - 1/2*c_1100_13^5 - 11/4*c_1100_13^4 - 5*c_1100_13^3 - 15/4*c_1100_13^2 + 1/2*c_1100_13 - 5/4, c_0101_11 - 1, c_0101_2 + 1/2*c_1100_13^2 + 1/2*c_1100_13 - 1/2, c_0101_3 - 1/4*c_1100_13^5 - 5/4*c_1100_13^4 - 7/4*c_1100_13^3 - 3/4*c_1100_13^2 + 5/4*c_1100_13 - 1/4, c_0101_7 - 1/4*c_1100_13^5 - 5/4*c_1100_13^4 - 7/4*c_1100_13^3 - 1/4*c_1100_13^2 + 3/4*c_1100_13 - 3/4, c_0101_9 - 1/4*c_1100_13^5 - 5/4*c_1100_13^4 - 9/4*c_1100_13^3 - 9/4*c_1100_13^2 - 5/4*c_1100_13 - 5/4, c_1001_0 + c_1100_13 + 1, c_1100_13^6 + 5*c_1100_13^5 + 8*c_1100_13^4 + 5*c_1100_13^3 + 5*c_1100_13 - 1 ], Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0011_3, c_0011_5, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_7, c_0101_9, c_1001_0, c_1100_13 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 993*c_1100_13^5 + 3310*c_1100_13^4 - 3088*c_1100_13^3 + 3008*c_1100_13^2 - 5957*c_1100_13 + 2976, c_0011_0 - 1, c_0011_10 - c_1100_13^5 + c_1100_13^3 + 3*c_1100_13^2 + 2*c_1100_13, c_0011_11 + c_1100_13^4 - c_1100_13^2 - 3*c_1100_13 - 1, c_0011_12 + c_1100_13^5 - 2*c_1100_13^4 + c_1100_13^3 - 3*c_1100_13^2 + 3*c_1100_13, c_0011_13 + c_1100_13^5 - c_1100_13^4 - c_1100_13^3 - 2*c_1100_13^2 + c_1100_13 + 2, c_0011_3 + c_1100_13^5 - 2*c_1100_13^4 - 2*c_1100_13^2 + 3*c_1100_13 + 2, c_0011_5 + 2*c_1100_13^5 - 4*c_1100_13^4 - 3*c_1100_13^2 + 6*c_1100_13 + 3, c_0101_10 + 2*c_1100_13^5 - 5*c_1100_13^4 + 2*c_1100_13^3 - 4*c_1100_13^2 + 8*c_1100_13 + 1, c_0101_11 + 2*c_1100_13^5 - 3*c_1100_13^4 - 4*c_1100_13^2 + 3*c_1100_13 + 2, c_0101_2 + 2*c_1100_13^5 - 3*c_1100_13^4 - 4*c_1100_13^2 + 3*c_1100_13 + 1, c_0101_3 + 2*c_1100_13^5 - 4*c_1100_13^4 + c_1100_13^3 - 4*c_1100_13^2 + 6*c_1100_13 + 1, c_0101_7 + c_1100_13^5 - 2*c_1100_13^4 - 2*c_1100_13^2 + 3*c_1100_13 + 1, c_0101_9 - c_1100_13^4 + c_1100_13^3 + 3*c_1100_13, c_1001_0 + 3*c_1100_13^5 - 5*c_1100_13^4 - 6*c_1100_13^2 + 7*c_1100_13 + 3, c_1100_13^6 - 3*c_1100_13^5 + 2*c_1100_13^4 - 2*c_1100_13^3 + 5*c_1100_13^2 - c_1100_13 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 158.900 Total time: 159.110 seconds, Total memory usage: 831.53MB