Magma V2.19-8 Tue Aug 20 2013 23:45:18 on localhost [Seed = 947805673] Type ? for help. Type -D to quit. Loading file "K13n2561__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2561 geometric_solution 11.19536199 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 -9 9 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.865259026099 1.295598166689 0 3 5 4 0132 3120 0132 1230 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 9 0 -9 0 0 1 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568111136059 0.653509082083 6 0 5 7 0132 0132 3012 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473061722148 0.774108644257 8 1 6 0 0132 3120 2031 0132 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 1 0 -1 0 0 -9 9 0 0 0 0 -1 -9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.076766983582 0.647989296180 1 8 0 9 3012 0213 0132 0132 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 -1 1 0 9 0 -9 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 0.240938454912 0.527303130573 8 2 10 1 1230 1230 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 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 0.518160323916 1.079671016961 2 7 11 3 0132 2103 0132 1302 0 0 0 0 0 1 0 -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 -9 0 9 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.638593023877 0.384743513823 10 6 2 9 0213 2103 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 0 0 0 0 0 0 0 0 9 0 -9 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.218891434823 1.232963364464 3 5 4 11 0132 3012 0213 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 1 -1 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 0.812150385602 0.670127384368 11 10 4 7 2310 2103 0132 0213 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 0 0 0 -9 0 0 9 -9 9 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.706667474948 1.382720079990 7 9 11 5 0213 2103 3012 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 -9 9 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 0.776655478275 0.761393712081 8 10 9 6 3012 1230 3201 0132 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 0 0 0 1 0 9 -10 0 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.885937478865 1.111562370768 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_9']), 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0011_5']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_0011_5']), 'c_1010_11' : d['c_0011_7'], 'c_1010_10' : d['c_1001_5'], 's_3_11' : d['1'], 's_3_10' : 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_7'], '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' : negation(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_1100_8' : d['c_0011_10'], 'c_1100_5' : d['c_0101_9'], 'c_1100_4' : negation(d['c_1010_6']), 'c_1100_7' : negation(d['c_1001_5']), 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : d['c_0101_9'], 'c_1100_0' : negation(d['c_1010_6']), 'c_1100_3' : negation(d['c_1010_6']), 'c_1100_2' : negation(d['c_1001_5']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_0101_9'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1010_6']), 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0011_5']), 'c_1010_9' : negation(d['c_1001_5']), 'c_1010_8' : d['c_0101_11'], 's_3_1' : d['1'], 's_3_0' : 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' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : negation(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_11']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_0' : negation(d['c_0011_3']), 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : negation(d['c_0101_11']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0011_11'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0011_4'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_4'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0011_4'], 'c_1100_9' : negation(d['c_1010_6']), 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_2']})} 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_10, c_0011_11, c_0011_3, c_0011_4, c_0011_5, c_0011_7, c_0101_11, c_0101_2, c_0101_9, c_1001_5, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 125/8*c_1010_6^3 + 245/8*c_1010_6^2 - 65/4*c_1010_6 - 183/16, c_0011_0 - 1, c_0011_10 - 2*c_1010_6^2 + 3*c_1010_6 - 2, c_0011_11 + 1, c_0011_3 + c_1010_6 - 1, c_0011_4 - c_1010_6 + 1, c_0011_5 + 2*c_1010_6^3 - 4*c_1010_6^2 + 4*c_1010_6 - 1, c_0011_7 - 2*c_1010_6^3 + 4*c_1010_6^2 - 3*c_1010_6 + 1, c_0101_11 - 2*c_1010_6^3 + 4*c_1010_6^2 - 3*c_1010_6 + 1, c_0101_2 + 2*c_1010_6^3 - 4*c_1010_6^2 + 3*c_1010_6 - 1, c_0101_9 - c_1010_6, c_1001_5 + c_1010_6 - 1, c_1010_6^4 - 3*c_1010_6^3 + 4*c_1010_6^2 - 5/2*c_1010_6 + 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0011_5, c_0011_7, c_0101_11, c_0101_2, c_0101_9, c_1001_5, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 185281/57785728*c_1010_6^5 + 156419/57785728*c_1010_6^4 + 81171/7223216*c_1010_6^3 + 608081/28892864*c_1010_6^2 + 429037/8255104*c_1010_6 + 5188679/57785728, c_0011_0 - 1, c_0011_10 + 5/64*c_1010_6^5 + 3/64*c_1010_6^4 + 1/8*c_1010_6^3 + 13/32*c_1010_6^2 + 63/64*c_1010_6 + 55/64, c_0011_11 + 1/64*c_1010_6^5 - 1/64*c_1010_6^4 + 1/8*c_1010_6^3 - 7/32*c_1010_6^2 + 3/64*c_1010_6 + 99/64, c_0011_3 + 7/64*c_1010_6^5 + 9/64*c_1010_6^4 + 3/8*c_1010_6^3 + 31/32*c_1010_6^2 + 149/64*c_1010_6 + 165/64, c_0011_4 + 3/64*c_1010_6^5 + 5/64*c_1010_6^4 + 3/8*c_1010_6^3 + 11/32*c_1010_6^2 + 89/64*c_1010_6 + 145/64, c_0011_5 + 1/64*c_1010_6^5 - 1/64*c_1010_6^4 + 1/8*c_1010_6^3 - 7/32*c_1010_6^2 + 3/64*c_1010_6 - 29/64, c_0011_7 - 1/8*c_1010_6^4 - 1/4*c_1010_6 - 13/8, c_0101_11 - 1/64*c_1010_6^5 + 9/64*c_1010_6^4 - 1/8*c_1010_6^3 + 7/32*c_1010_6^2 + 13/64*c_1010_6 + 5/64, c_0101_2 - 1/8*c_1010_6^4 - 1/4*c_1010_6 - 5/8, c_0101_9 + 3/32*c_1010_6^5 + 1/32*c_1010_6^4 + 1/4*c_1010_6^3 + 3/16*c_1010_6^2 + 33/32*c_1010_6 + 45/32, c_1001_5 - 1/8*c_1010_6^4 - 1/4*c_1010_6 - 13/8, c_1010_6^6 + 2*c_1010_6^5 + 5*c_1010_6^4 + 10*c_1010_6^3 + 25*c_1010_6^2 + 44*c_1010_6 + 41 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0011_5, c_0011_7, c_0101_11, c_0101_2, c_0101_9, c_1001_5, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 752729344/1549185*c_1010_6^12 - 544852586/1549185*c_1010_6^11 + 275777801/103279*c_1010_6^10 + 547862561/140835*c_1010_6^9 - 2081660354/516395*c_1010_6^8 - 18993035894/1549185*c_1010_6^7 + 5087206889/1549185*c_1010_6^6 + 60554533316/1549185*c_1010_6^5 + 28971752914/516395*c_1010_6^4 + 53479710199/1549185*c_1010_6^3 + 1566741547/1549185*c_1010_6^2 - 16483912057/1549185*c_1010_6 - 8834595004/1549185, c_0011_0 - 1, c_0011_10 + 56230/84501*c_1010_6^12 + 11375/28167*c_1010_6^11 - 151484/28167*c_1010_6^10 - 294373/84501*c_1010_6^9 + 1290161/84501*c_1010_6^8 + 1137115/84501*c_1010_6^7 - 2389768/84501*c_1010_6^6 - 546657/9389*c_1010_6^5 - 622186/28167*c_1010_6^4 + 2415272/84501*c_1010_6^3 + 2356831/84501*c_1010_6^2 + 160256/84501*c_1010_6 - 289588/28167, c_0011_11 - 8674/9389*c_1010_6^12 + 8331/9389*c_1010_6^11 + 49460/9389*c_1010_6^10 - 21814/9389*c_1010_6^9 - 125177/9389*c_1010_6^8 - 14233/9389*c_1010_6^7 + 289964/9389*c_1010_6^6 + 339707/9389*c_1010_6^5 + 4865/9389*c_1010_6^4 - 202412/9389*c_1010_6^3 - 132766/9389*c_1010_6^2 + 43698/9389*c_1010_6 + 34210/9389, c_0011_3 + 21557/84501*c_1010_6^12 + 11752/28167*c_1010_6^11 - 68527/28167*c_1010_6^10 - 241325/84501*c_1010_6^9 + 636568/84501*c_1010_6^8 + 760184/84501*c_1010_6^7 - 1118855/84501*c_1010_6^6 - 299447/9389*c_1010_6^5 - 363326/28167*c_1010_6^4 + 1524316/84501*c_1010_6^3 + 1367108/84501*c_1010_6^2 + 84382/84501*c_1010_6 - 181496/28167, c_0011_4 - 21557/84501*c_1010_6^12 - 11752/28167*c_1010_6^11 + 68527/28167*c_1010_6^10 + 241325/84501*c_1010_6^9 - 636568/84501*c_1010_6^8 - 760184/84501*c_1010_6^7 + 1118855/84501*c_1010_6^6 + 299447/9389*c_1010_6^5 + 363326/28167*c_1010_6^4 - 1524316/84501*c_1010_6^3 - 1367108/84501*c_1010_6^2 - 84382/84501*c_1010_6 + 181496/28167, c_0011_5 - 21826/28167*c_1010_6^12 + 14149/9389*c_1010_6^11 + 30962/9389*c_1010_6^10 - 160682/28167*c_1010_6^9 - 218864/28167*c_1010_6^8 + 250214/28167*c_1010_6^7 + 642529/28167*c_1010_6^6 + 37526/9389*c_1010_6^5 - 164622/9389*c_1010_6^4 - 171680/28167*c_1010_6^3 + 177518/28167*c_1010_6^2 + 191458/28167*c_1010_6 - 37056/9389, c_0011_7 - 105784/84501*c_1010_6^12 + 49822/28167*c_1010_6^11 + 179459/28167*c_1010_6^10 - 501425/84501*c_1010_6^9 - 1358156/84501*c_1010_6^8 + 469547/84501*c_1010_6^7 + 3454261/84501*c_1010_6^6 + 279869/9389*c_1010_6^5 - 431732/28167*c_1010_6^4 - 2020226/84501*c_1010_6^3 - 516826/84501*c_1010_6^2 + 810754/84501*c_1010_6 + 14938/28167, c_0101_11 - 105784/84501*c_1010_6^12 + 49822/28167*c_1010_6^11 + 179459/28167*c_1010_6^10 - 501425/84501*c_1010_6^9 - 1358156/84501*c_1010_6^8 + 469547/84501*c_1010_6^7 + 3454261/84501*c_1010_6^6 + 279869/9389*c_1010_6^5 - 431732/28167*c_1010_6^4 - 2020226/84501*c_1010_6^3 - 516826/84501*c_1010_6^2 + 810754/84501*c_1010_6 + 14938/28167, c_0101_2 - 2660/2061*c_1010_6^12 + 680/687*c_1010_6^11 + 5470/687*c_1010_6^10 - 4471/2061*c_1010_6^9 - 44581/2061*c_1010_6^8 - 8354/2061*c_1010_6^7 + 101048/2061*c_1010_6^6 + 12888/229*c_1010_6^5 - 2155/687*c_1010_6^4 - 79453/2061*c_1010_6^3 - 41312/2061*c_1010_6^2 + 17177/2061*c_1010_6 + 3899/687, c_0101_9 + 85454/84501*c_1010_6^12 - 2129/28167*c_1010_6^11 - 201151/28167*c_1010_6^10 - 161204/84501*c_1010_6^9 + 1658548/84501*c_1010_6^8 + 1049747/84501*c_1010_6^7 - 3352085/84501*c_1010_6^6 - 633970/9389*c_1010_6^5 - 507821/28167*c_1010_6^4 + 3083713/84501*c_1010_6^3 + 2518826/84501*c_1010_6^2 - 198818/84501*c_1010_6 - 289823/28167, c_1001_5 - 32603/28167*c_1010_6^12 + 1654/9389*c_1010_6^11 + 74091/9389*c_1010_6^10 + 61592/28167*c_1010_6^9 - 611413/28167*c_1010_6^8 - 418334/28167*c_1010_6^7 + 1266758/28167*c_1010_6^6 + 725349/9389*c_1010_6^5 + 185357/9389*c_1010_6^4 - 1195093/28167*c_1010_6^3 - 976211/28167*c_1010_6^2 + 94955/28167*c_1010_6 + 107161/9389, c_1010_6^13 - 6*c_1010_6^11 - 4*c_1010_6^10 + 14*c_1010_6^9 + 19*c_1010_6^8 - 25*c_1010_6^7 - 75*c_1010_6^6 - 57*c_1010_6^5 + 11*c_1010_6^4 + 46*c_1010_6^3 + 20*c_1010_6^2 - 6*c_1010_6 - 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.210 Total time: 1.419 seconds, Total memory usage: 32.09MB