Magma V2.19-8 Tue Aug 20 2013 23:55:48 on localhost [Seed = 4614194] Type ? for help. Type -D to quit. Loading file "L14n13191__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13191 geometric_solution 11.20636594 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 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 0 1 -1 0 0 -1 1 1 -11 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.649018840059 0.910510173707 0 4 6 5 0132 3120 0132 0132 1 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 -10 0 10 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 0.480890507006 0.728260021845 4 0 6 7 0213 0132 2310 0132 1 1 1 1 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 -1 0 0 1 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.751440639255 0.637012668758 8 8 9 0 0132 1302 0132 0132 1 1 1 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 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 0.511250161130 0.662754342032 2 1 0 6 0213 3120 0132 2310 1 1 1 1 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 1 0 1 0 -1 0 0 0 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.156251977123 0.460614901601 8 10 1 10 2103 0132 0132 3120 1 1 1 1 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 0 -10 10 0 0 0 0 11 -10 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.720742698348 0.977341197539 4 2 7 1 3201 3201 2103 0132 1 1 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 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 0 0 0 0 0 0 0.531601708517 1.362398994124 6 10 2 9 2103 1302 0132 0132 1 1 1 1 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 0 0 0 0 11 -11 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.705841001790 0.639143833812 3 11 5 3 0132 0132 2103 2031 1 1 0 1 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 0 0 11 -11 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 0.720742698348 0.977341197539 11 11 7 3 0132 1230 0132 0132 1 1 0 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 0 0 0 0 0 0 0 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.511250161130 0.662754342032 5 5 11 7 3120 0132 0132 2031 1 1 1 1 0 0 1 -1 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 -11 11 0 0 0 0 1 0 0 -1 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.270288989477 0.945954011210 9 8 9 10 0132 0132 3012 0132 1 1 1 0 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 -11 0 11 0 0 0 0 0 0 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.270288989477 0.945954011210 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_0']), 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : negation(d['c_0011_10']), 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_7' : d['c_0110_10'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0110_10'], 'c_1001_3' : d['c_0101_11'], 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_4']), 's_0_10' : 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_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_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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : d['c_0011_6'], 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_6'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_9']), 'c_1100_10' : negation(d['c_1001_9']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_9'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0110_10'], 'c_1010_2' : d['c_0110_10'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_0011_11'], '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'], '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_11']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0110_10'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0110_10'], 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_7' : d['c_0101_10'], 'c_1100_8' : negation(d['c_0110_10'])})} 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_4, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_6, c_0110_10, c_1001_1, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 1779771871/124526808*c_1001_9^10 - 194888387/4612104*c_1001_9^9 + 119235797/988308*c_1001_9^8 - 25543104523/124526808*c_1001_9^7 + 18814268003/41508936*c_1001_9^6 - 36808089995/62263404*c_1001_9^5 + 112846786069/124526808*c_1001_9^4 - 57166720403/124526808*c_1001_9^3 + 51392694301/124526808*c_1001_9^2 + 12681763289/20754468*c_1001_9 + 318520025/20754468, c_0011_0 - 1, c_0011_10 - 7903/219624*c_1001_9^10 + 10179/73208*c_1001_9^9 - 33219/73208*c_1001_9^8 + 205501/219624*c_1001_9^7 - 18546/9151*c_1001_9^6 + 90068/27453*c_1001_9^5 - 1174567/219624*c_1001_9^4 + 1178357/219624*c_1001_9^3 - 609215/109812*c_1001_9^2 + 65937/36604*c_1001_9 - 11059/9151, c_0011_11 - 1, c_0011_4 + 5711/109812*c_1001_9^10 - 1295/9151*c_1001_9^9 + 31083/73208*c_1001_9^8 - 85079/109812*c_1001_9^7 + 133009/73208*c_1001_9^6 - 276755/109812*c_1001_9^5 + 227197/54906*c_1001_9^4 - 365353/109812*c_1001_9^3 + 966169/219624*c_1001_9^2 - 20903/18302*c_1001_9 + 68119/36604, c_0011_6 - 5711/109812*c_1001_9^10 + 1295/9151*c_1001_9^9 - 31083/73208*c_1001_9^8 + 85079/109812*c_1001_9^7 - 133009/73208*c_1001_9^6 + 276755/109812*c_1001_9^5 - 227197/54906*c_1001_9^4 + 365353/109812*c_1001_9^3 - 966169/219624*c_1001_9^2 + 20903/18302*c_1001_9 - 68119/36604, c_0101_0 + c_1001_9, c_0101_10 + 3459/73208*c_1001_9^10 - 6153/36604*c_1001_9^9 + 36835/73208*c_1001_9^8 - 36939/36604*c_1001_9^7 + 80227/36604*c_1001_9^6 - 123863/36604*c_1001_9^5 + 390697/73208*c_1001_9^4 - 96203/18302*c_1001_9^3 + 193087/36604*c_1001_9^2 - 37851/18302*c_1001_9 + 13084/9151, c_0101_11 + 7961/219624*c_1001_9^10 - 4567/36604*c_1001_9^9 + 3008/9151*c_1001_9^8 - 15121/27453*c_1001_9^7 + 83751/73208*c_1001_9^6 - 86003/54906*c_1001_9^5 + 461885/219624*c_1001_9^4 - 78077/109812*c_1001_9^3 + 14087/219624*c_1001_9^2 + 19467/9151*c_1001_9 - 8209/36604, c_0101_6 - 7695/73208*c_1001_9^10 + 31051/73208*c_1001_9^9 - 93389/73208*c_1001_9^8 + 192471/73208*c_1001_9^7 - 102369/18302*c_1001_9^6 + 83727/9151*c_1001_9^5 - 1039367/73208*c_1001_9^4 + 1083443/73208*c_1001_9^3 - 520105/36604*c_1001_9^2 + 217053/36604*c_1001_9 - 34131/9151, c_0110_10 - 3459/73208*c_1001_9^10 + 6153/36604*c_1001_9^9 - 36835/73208*c_1001_9^8 + 36939/36604*c_1001_9^7 - 80227/36604*c_1001_9^6 + 123863/36604*c_1001_9^5 - 390697/73208*c_1001_9^4 + 96203/18302*c_1001_9^3 - 193087/36604*c_1001_9^2 + 37851/18302*c_1001_9 - 13084/9151, c_1001_1 + 5261/219624*c_1001_9^10 - 4207/54906*c_1001_9^9 + 13837/73208*c_1001_9^8 - 8365/27453*c_1001_9^7 + 17240/27453*c_1001_9^6 - 87727/109812*c_1001_9^5 + 75317/73208*c_1001_9^4 - 7765/109812*c_1001_9^3 - 14824/27453*c_1001_9^2 + 41800/27453*c_1001_9 - 11687/18302, c_1001_9^11 - 3*c_1001_9^10 + 9*c_1001_9^9 - 16*c_1001_9^8 + 36*c_1001_9^7 - 49*c_1001_9^6 + 79*c_1001_9^5 - 53*c_1001_9^4 + 58*c_1001_9^3 + 27*c_1001_9^2 + 12*c_1001_9 + 18 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB