Magma V2.19-8 Tue Aug 20 2013 23:39:23 on localhost [Seed = 4613215] Type ? for help. Type -D to quit. Loading file "K13n3192__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n3192 geometric_solution 10.41277940 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 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 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 0 0 1.278829165119 0.733056539483 0 5 3 2 0132 0132 3120 2103 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 1 0 -3 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 0.681984507587 0.693224377543 6 0 7 1 0132 0132 0132 2103 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 0 0 0 2 0 0 -2 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.651608327284 0.836274273839 7 8 1 0 2103 0132 3120 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 0 1 -1 -3 0 3 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 0.681984507587 0.693224377543 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 -1 1 0 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 0.336474731379 0.757617829219 9 1 8 7 1302 0132 3120 3120 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 0 0 0 -3 0 0 3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.734580057484 0.598683948491 2 10 8 9 0132 1230 2103 1302 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 0 1 -1 -2 0 0 2 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429493498296 0.404445559839 5 10 3 2 3120 0321 2103 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 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.623913407489 1.028180922461 6 3 5 10 2103 0132 3120 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.033363350190 0.940372050539 4 5 6 4 0132 2031 2031 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 -1 0 1 -1 0 1 0 0 0 0 0 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.336474731379 0.757617829219 8 4 6 7 3201 0132 3012 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0.281946372784 0.972723384510 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0011_7']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_7'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_2']), 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0101_1']), 'c_1100_7' : negation(d['c_0101_0']), 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : negation(d['c_0101_0']), 'c_1100_10' : d['c_0011_3'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : negation(d['c_0011_7']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_0'], 'c_1010_8' : d['c_0011_7'], 'c_1100_8' : d['c_0011_10'], 's_3_1' : negation(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' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), '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_10' : negation(d['c_0011_7']), 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_3'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 26559/55*c_1001_2^5 + 167113/77*c_1001_2^4 - 318732/77*c_1001_2^3 + 299967/77*c_1001_2^2 - 658128/385*c_1001_2 + 80798/385, c_0011_0 - 1, c_0011_10 + 259/55*c_1001_2^5 - 179/11*c_1001_2^4 + 274/11*c_1001_2^3 - 200/11*c_1001_2^2 + 379/55*c_1001_2 - 9/55, c_0011_3 - 126/55*c_1001_2^5 + 85/11*c_1001_2^4 - 122/11*c_1001_2^3 + 64/11*c_1001_2^2 + 49/55*c_1001_2 - 64/55, c_0011_7 + c_1001_2 - 1, c_0101_0 - 42/55*c_1001_2^5 + 54/11*c_1001_2^4 - 103/11*c_1001_2^3 + 91/11*c_1001_2^2 - 167/55*c_1001_2 + 52/55, c_0101_1 + 14/11*c_1001_2^5 - 13/11*c_1001_2^4 - 41/11*c_1001_2^3 + 94/11*c_1001_2^2 - 58/11*c_1001_2 + 12/11, c_0101_10 + 168/55*c_1001_2^5 - 139/11*c_1001_2^4 + 225/11*c_1001_2^3 - 155/11*c_1001_2^2 + 173/55*c_1001_2 + 12/55, c_0101_2 - 42/55*c_1001_2^5 + 54/11*c_1001_2^4 - 103/11*c_1001_2^3 + 91/11*c_1001_2^2 - 167/55*c_1001_2 + 52/55, c_0101_3 + 112/55*c_1001_2^5 - 67/11*c_1001_2^4 + 62/11*c_1001_2^3 + 3/11*c_1001_2^2 - 123/55*c_1001_2 + 8/55, c_1001_0 + 126/55*c_1001_2^5 - 85/11*c_1001_2^4 + 122/11*c_1001_2^3 - 64/11*c_1001_2^2 + 6/55*c_1001_2 + 64/55, c_1001_2^6 - 31/7*c_1001_2^5 + 60/7*c_1001_2^4 - 60/7*c_1001_2^3 + 32/7*c_1001_2^2 - 8/7*c_1001_2 + 1/7 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 4825304269/26784825*c_1001_2^10 - 11750614183/16070895*c_1001_2^9 + 162667956892/80354475*c_1001_2^8 - 134001732227/17856550*c_1001_2^7 + 130980796783/8928275*c_1001_2^6 - 600409740253/160708950*c_1001_2^5 - 335418338254/16070895*c_1001_2^4 + 3035038333337/160708950*c_1001_2^3 + 95964987787/26784825*c_1001_2^2 - 726984973844/80354475*c_1001_2 + 491319378929/160708950, c_0011_0 - 1, c_0011_10 + 18763/357131*c_1001_2^10 - 17428/357131*c_1001_2^9 + 90914/357131*c_1001_2^8 - 439709/357131*c_1001_2^7 - 31160/357131*c_1001_2^6 + 656930/357131*c_1001_2^5 + 1160088/357131*c_1001_2^4 - 1142276/357131*c_1001_2^3 - 1259562/357131*c_1001_2^2 + 473895/357131*c_1001_2 + 330712/357131, c_0011_3 - 1, c_0011_7 - 304579/1785655*c_1001_2^10 + 161355/357131*c_1001_2^9 - 2279524/1785655*c_1001_2^8 + 9505353/1785655*c_1001_2^7 - 11636064/1785655*c_1001_2^6 - 9644677/1785655*c_1001_2^5 + 3885773/357131*c_1001_2^4 + 1406493/1785655*c_1001_2^3 - 6137677/1785655*c_1001_2^2 - 40392/1785655*c_1001_2 - 1534534/1785655, c_0101_0 - 235699/1785655*c_1001_2^10 + 119171/357131*c_1001_2^9 - 1630479/1785655*c_1001_2^8 + 6722768/1785655*c_1001_2^7 - 7029979/1785655*c_1001_2^6 - 12193447/1785655*c_1001_2^5 + 4931686/357131*c_1001_2^4 - 3576767/1785655*c_1001_2^3 - 15706767/1785655*c_1001_2^2 + 6980513/1785655*c_1001_2 + 1374011/1785655, c_0101_1 - 319662/1785655*c_1001_2^10 + 216675/357131*c_1001_2^9 - 2976192/1785655*c_1001_2^8 + 11688654/1785655*c_1001_2^7 - 19153897/1785655*c_1001_2^6 - 2066976/1785655*c_1001_2^5 + 5867187/357131*c_1001_2^4 - 14481056/1785655*c_1001_2^3 - 11453946/1785655*c_1001_2^2 + 8196359/1785655*c_1001_2 + 888368/1785655, c_0101_10 - 119026/1785655*c_1001_2^10 + 53068/357131*c_1001_2^9 - 589651/1785655*c_1001_2^8 + 3055112/1785655*c_1001_2^7 - 2096246/1785655*c_1001_2^6 - 9887448/1785655*c_1001_2^5 + 1513203/357131*c_1001_2^4 + 13564757/1785655*c_1001_2^3 - 7399563/1785655*c_1001_2^2 - 6603213/1785655*c_1001_2 + 662719/1785655, c_0101_2 - 19422/357131*c_1001_2^10 + 132890/357131*c_1001_2^9 - 318801/357131*c_1001_2^8 + 1137533/357131*c_1001_2^7 - 3032319/357131*c_1001_2^6 + 1369784/357131*c_1001_2^5 + 4460863/357131*c_1001_2^4 - 3248157/357131*c_1001_2^3 - 2174415/357131*c_1001_2^2 + 1271057/357131*c_1001_2 + 244275/357131, c_0101_3 + 319662/1785655*c_1001_2^10 - 216675/357131*c_1001_2^9 + 2976192/1785655*c_1001_2^8 - 11688654/1785655*c_1001_2^7 + 19153897/1785655*c_1001_2^6 + 2066976/1785655*c_1001_2^5 - 5867187/357131*c_1001_2^4 + 14481056/1785655*c_1001_2^3 + 11453946/1785655*c_1001_2^2 - 8196359/1785655*c_1001_2 - 888368/1785655, c_1001_0 + 251121/1785655*c_1001_2^10 - 139981/357131*c_1001_2^9 + 1955556/1785655*c_1001_2^8 - 8016437/1785655*c_1001_2^7 + 10333206/1785655*c_1001_2^6 + 7618128/1785655*c_1001_2^5 - 3947296/357131*c_1001_2^4 + 5180993/1785655*c_1001_2^3 + 5122653/1785655*c_1001_2^2 - 4381597/1785655*c_1001_2 + 1770431/1785655, c_1001_2^11 - 4*c_1001_2^10 + 11*c_1001_2^9 - 41*c_1001_2^8 + 79*c_1001_2^7 - 16*c_1001_2^6 - 117*c_1001_2^5 + 98*c_1001_2^4 + 26*c_1001_2^3 - 49*c_1001_2^2 + 14*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.390 seconds, Total memory usage: 32.09MB