Magma V2.19-8 Wed Aug 21 2013 00:51:42 on localhost [Seed = 1309170480] Type ? for help. Type -D to quit. Loading file "L11n211__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n211 geometric_solution 12.18134633 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 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 1 0 -1 1 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 0.542209987247 0.986745539368 0 4 6 5 0132 0132 0132 0132 0 1 1 1 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 -2 0 2 -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 0.572274380441 0.778400171706 0 0 8 7 3012 0132 0132 0132 0 0 1 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 0 0 0 0 0 0 0 -1 0 1 1 0 1 -2 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.386895820303 0.833936333796 9 5 8 0 0132 2310 0321 0132 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 -1 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 0.214659893223 0.610863908930 6 1 10 8 0321 0132 0132 1230 0 1 1 1 0 -1 0 1 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 2 0 -2 3 0 0 -3 0 -1 0 1 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.693447910151 0.416968166898 11 7 1 3 0132 1302 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.793341913134 0.617087982638 4 12 9 1 0321 0132 2310 0132 0 1 1 1 0 0 0 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 4 0 -3 -1 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.144548760881 1.556800343411 10 11 2 5 1023 3201 0132 2031 0 0 1 1 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 1 -1 0 0 0 2 -2 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.170880900708 0.586119219065 4 10 3 2 3012 0213 0321 0132 0 0 1 1 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 0 0 0 2 0 -1 -1 3 -4 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.154653987079 0.738541735814 3 6 11 12 0132 3201 0132 1302 1 1 0 1 0 -1 0 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 -3 0 3 0 0 0 0 1 0 0 -1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.399318476328 0.935625317182 12 7 8 4 0213 1023 0213 0132 0 1 1 1 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 0 0 0 -4 0 4 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 0.634141280001 0.683721158860 5 12 7 9 0132 2310 2310 0132 1 1 1 0 0 1 -1 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 4 -4 0 0 0 0 0 0 -3 0 3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.706898595288 0.966781864047 10 6 9 11 0213 0132 2031 3201 0 1 1 1 0 0 0 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 0 1 -1 0 0 -3 3 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.787504781856 0.660286955643 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_0101_7'], 'c_1001_12' : negation(d['c_0101_3']), 'c_1001_5' : d['c_0110_7'], 'c_1001_4' : d['c_0110_7'], 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0101_11']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0101_4'], 'c_1001_8' : d['c_0101_7'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : d['c_0101_4'], 'c_1010_10' : d['c_0110_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_12'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(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_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' : negation(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_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_3'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : d['c_1001_3'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_1001_3'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_10'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0101_2'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_1001_3']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_11']), 'c_1010_2' : negation(d['c_0101_11']), 'c_1010_1' : d['c_0110_7'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_0101_2'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0011_11']), '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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_12'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], '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' : d['c_0101_0'], 'c_0110_10' : d['c_0101_4'], 'c_0110_12' : negation(d['c_0101_4']), 'c_0101_12' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], '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' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_3']), 'c_0011_10' : d['c_0011_10'], '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' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0011_12'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : negation(d['c_0011_0'])})} 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_11, c_0011_12, c_0011_3, c_0101_0, c_0101_11, c_0101_2, c_0101_3, c_0101_4, c_0101_7, c_0110_7, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 5/18*c_0110_7*c_1001_3 - 1/9*c_0110_7 - 2/9*c_1001_3 - 1/9, c_0011_0 - 1, c_0011_10 - 1/2*c_0110_7*c_1001_3 - 1/2*c_1001_3, c_0011_11 - 1/3*c_0110_7*c_1001_3 - 2/3*c_0110_7 - 1/3*c_1001_3 + 1/3, c_0011_12 - 1/3*c_0110_7*c_1001_3 + 1/3*c_0110_7 + 1/6*c_1001_3 + 1/3, c_0011_3 - 1/3*c_0110_7*c_1001_3 + 1/3*c_0110_7 + 2/3*c_1001_3 + 4/3, c_0101_0 + 2/3*c_0110_7*c_1001_3 - 2/3*c_0110_7 - 1/3*c_1001_3 - 2/3, c_0101_11 + 1, c_0101_2 + 1/3*c_0110_7*c_1001_3 - 1/3*c_0110_7 + 1/3*c_1001_3 - 1/3, c_0101_3 - c_0110_7, c_0101_4 + 1/2*c_0110_7*c_1001_3 + 1/2*c_1001_3 - 1, c_0101_7 + 1/3*c_0110_7*c_1001_3 + 2/3*c_0110_7 + 1/3*c_1001_3 - 1/3, c_0110_7^2 + c_0110_7*c_1001_3 - c_1001_3, c_1001_3^2 + 2 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0101_0, c_0101_11, c_0101_2, c_0101_3, c_0101_4, c_0101_7, c_0110_7, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 10492393607/215760896*c_1001_3^5 - 7567807509/107880448*c_1001_3^4 + 161604176021/107880448*c_1001_3^3 + 403052888605/107880448*c_1001_3^2 - 88270451121/107880448*c_1001_3 + 75264441529/26970112, c_0011_0 - 1, c_0011_10 - 999/129664*c_1001_3^5 - 269/64832*c_1001_3^4 + 9797/64832*c_1001_3^3 + 33933/64832*c_1001_3^2 + 102015/64832*c_1001_3 + 15301/16208, c_0011_11 + 171/32416*c_1001_3^5 - 319/16208*c_1001_3^4 - 1969/16208*c_1001_3^3 + 5143/16208*c_1001_3^2 + 7069/16208*c_1001_3 - 1889/4052, c_0011_12 + 2779/129664*c_1001_3^5 + 2825/64832*c_1001_3^4 - 44321/64832*c_1001_3^3 - 127881/64832*c_1001_3^2 + 11757/64832*c_1001_3 - 5297/16208, c_0011_3 + 393/16208*c_1001_3^5 + 191/8104*c_1001_3^4 - 5947/8104*c_1001_3^3 - 13203/8104*c_1001_3^2 + 8711/8104*c_1001_3 - 787/2026, c_0101_0 + 171/32416*c_1001_3^5 - 319/16208*c_1001_3^4 - 1969/16208*c_1001_3^3 + 5143/16208*c_1001_3^2 + 7069/16208*c_1001_3 - 5941/4052, c_0101_11 + 1, c_0101_2 + 171/32416*c_1001_3^5 - 319/16208*c_1001_3^4 - 1969/16208*c_1001_3^3 + 5143/16208*c_1001_3^2 + 7069/16208*c_1001_3 - 1889/4052, c_0101_3 - 393/16208*c_1001_3^5 - 191/8104*c_1001_3^4 + 5947/8104*c_1001_3^3 + 13203/8104*c_1001_3^2 - 607/8104*c_1001_3 + 787/2026, c_0101_4 - 1597/129664*c_1001_3^5 + 657/64832*c_1001_3^4 + 24455/64832*c_1001_3^3 + 14431/64832*c_1001_3^2 - 96539/64832*c_1001_3 - 225/16208, c_0101_7 - 85/16208*c_1001_3^5 - 31/8104*c_1001_3^4 + 647/8104*c_1001_3^3 + 4031/8104*c_1001_3^2 + 9045/8104*c_1001_3 + 1093/2026, c_0110_7 - 97/16208*c_1001_3^5 + 489/8104*c_1001_3^4 + 643/8104*c_1001_3^3 - 8557/8104*c_1001_3^2 - 9223/8104*c_1001_3 - 445/2026, c_1001_3^6 + 2*c_1001_3^5 - 30*c_1001_3^4 - 94*c_1001_3^3 - 26*c_1001_3^2 - 48*c_1001_3 - 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.360 seconds, Total memory usage: 32.09MB