Magma V2.19-8 Wed Aug 21 2013 01:05:21 on localhost [Seed = 2244189453] Type ? for help. Type -D to quit. Loading file "L14n25786__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25786 geometric_solution 11.55561594 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 -1 1 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 -1 1 1 -1 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.480197692013 0.949160437416 0 5 6 3 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 -1 1 0 0 1 -1 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 2 -1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.884971184844 1.084488393648 7 0 5 8 0132 0132 1230 0132 1 1 0 1 0 0 0 0 -1 0 1 0 0 1 0 -1 1 -1 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 0 -2 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.341791870208 0.870054463479 7 9 1 0 2103 0132 0132 0132 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 1 -1 -1 0 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 -0.205236766225 0.690086497736 8 10 0 11 3012 0132 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 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 1.326956246098 0.806121268313 11 1 9 2 0132 0132 1023 3012 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 -1 1 -1 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 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.247025356522 0.738991366086 8 10 11 1 1023 2031 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 0 0 0 0 0 0 0 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.227054365218 0.538672336162 2 12 3 8 0132 0132 2103 3120 0 1 1 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 -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 0.689863436344 0.471298685632 7 6 2 4 3120 1023 0132 1230 1 1 1 0 0 0 0 0 1 0 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 1 -1 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 -0.489895268401 0.875932535338 12 3 5 10 3120 0132 1023 0213 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 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 0.151944536301 1.123960576892 6 4 12 9 1302 0132 1023 0213 1 0 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 -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 0.654547251315 0.407202426023 5 12 4 6 0132 1023 0132 0132 1 1 0 1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.774928903647 0.675190525298 11 7 10 9 1023 0132 1023 3120 0 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.924490569513 0.546217967462 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : negation(d['c_0011_6']), 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0110_10']), 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0101_9'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : d['c_0011_3'], 'c_1010_11' : negation(d['c_0110_10']), 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_6']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_8' : negation(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_1100_9' : d['c_1001_2'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_1001_2']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_0']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_11'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_0101_9'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0101_12'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_9'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_9'], 'c_1010_8' : d['c_0101_1'], 'c_1100_8' : d['c_0101_11'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_9']), 's_1_7' : negation(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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_6'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0110_10']), 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : negation(d['1']), 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0110_10']), 'c_0110_8' : negation(d['c_0011_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_0'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_1'], 's_2_9' : d['1']})} 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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_5, c_0101_9, c_0110_10, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 69748030275112/285395503923*c_1100_0^9 - 66601071057416/285395503923*c_1100_0^8 - 149835176235206/285395503923*c_1100_0^7 + 398898248745598/285395503923*c_1100_0^6 - 77280304546916/95131834641*c_1100_0^5 + 12038377706599/31710611547*c_1100_0^4 + 150697401056657/285395503923*c_1100_0^3 - 54738935670323/95131834641*c_1100_0^2 + 43861284855650/285395503923*c_1100_0 - 46540123718858/285395503923, c_0011_0 - 1, c_0011_10 - 471516507/207258899*c_1100_0^9 - 416321283/207258899*c_1100_0^8 - 847302364/207258899*c_1100_0^7 + 2849041927/207258899*c_1100_0^6 - 1562619738/207258899*c_1100_0^5 - 38491108/207258899*c_1100_0^4 + 1699695390/207258899*c_1100_0^3 - 1125997833/207258899*c_1100_0^2 + 121498734/207258899*c_1100_0 - 198076761/207258899, c_0011_3 - 1007407793/207258899*c_1100_0^9 - 1285346328/207258899*c_1100_0^8 - 2308623413/207258899*c_1100_0^7 + 4957882635/207258899*c_1100_0^6 - 1802712022/207258899*c_1100_0^5 - 1647633587/207258899*c_1100_0^4 + 3490716650/207258899*c_1100_0^3 - 1410428812/207258899*c_1100_0^2 - 1049673836/207258899*c_1100_0 - 100044919/207258899, c_0011_6 + 798608755/207258899*c_1100_0^9 + 985402082/207258899*c_1100_0^8 + 1853895070/207258899*c_1100_0^7 - 4039439031/207258899*c_1100_0^6 + 1587056369/207258899*c_1100_0^5 + 501507641/207258899*c_1100_0^4 - 2371763823/207258899*c_1100_0^3 + 716939091/207258899*c_1100_0^2 + 647272624/207258899*c_1100_0 + 174531896/207258899, c_0101_0 - 685751808/207258899*c_1100_0^9 - 937643672/207258899*c_1100_0^8 - 1851362939/207258899*c_1100_0^7 + 3002225353/207258899*c_1100_0^6 - 1341557360/207258899*c_1100_0^5 - 72206583/207258899*c_1100_0^4 + 2011985686/207258899*c_1100_0^3 - 505131207/207258899*c_1100_0^2 + 7502932/207258899*c_1100_0 - 21651315/207258899, c_0101_1 - 1, c_0101_11 + 208949713/207258899*c_1100_0^9 - 39151679/207258899*c_1100_0^8 + 98682240/207258899*c_1100_0^7 - 1894809169/207258899*c_1100_0^6 + 1641547629/207258899*c_1100_0^5 - 767987102/207258899*c_1100_0^4 - 489180120/207258899*c_1100_0^3 + 1101333389/207258899*c_1100_0^2 - 261771934/207258899*c_1100_0 + 179115104/207258899, c_0101_12 - 434683515/207258899*c_1100_0^9 - 259261604/207258899*c_1100_0^8 - 887356982/207258899*c_1100_0^7 + 2568567474/207258899*c_1100_0^6 - 2802562820/207258899*c_1100_0^5 + 1345295804/207258899*c_1100_0^4 + 986555615/207258899*c_1100_0^3 - 1200830111/207258899*c_1100_0^2 + 626061626/207258899*c_1100_0 - 220508462/207258899, c_0101_5 - 48120289/207258899*c_1100_0^9 + 298245563/207258899*c_1100_0^8 + 508696841/207258899*c_1100_0^7 + 1461911414/207258899*c_1100_0^6 - 1169780528/207258899*c_1100_0^5 + 374689486/207258899*c_1100_0^4 + 321068207/207258899*c_1100_0^3 - 976101510/207258899*c_1100_0^2 + 50994097/207258899*c_1100_0 - 85614773/207258899, c_0101_9 + 79563939/207258899*c_1100_0^9 + 345710001/207258899*c_1100_0^8 + 426398615/207258899*c_1100_0^7 + 139810026/207258899*c_1100_0^6 - 1193850823/207258899*c_1100_0^5 + 951626987/207258899*c_1100_0^4 - 513175297/207258899*c_1100_0^3 - 657169071/207258899*c_1100_0^2 + 526115369/207258899*c_1100_0 + 5234119/207258899, c_0110_10 + 347622751/207258899*c_1100_0^9 + 401684479/207258899*c_1100_0^8 + 1017331685/207258899*c_1100_0^7 - 1355754616/207258899*c_1100_0^6 + 1657796532/207258899*c_1100_0^5 - 483322139/207258899*c_1100_0^4 - 1048390332/207258899*c_1100_0^3 + 1000678433/207258899*c_1100_0^2 - 699852700/207258899*c_1100_0 - 20586634/207258899, c_1001_2 + 449343076/207258899*c_1100_0^9 + 565652206/207258899*c_1100_0^8 + 1132459936/207258899*c_1100_0^7 - 2187896898/207258899*c_1100_0^6 + 919463907/207258899*c_1100_0^5 - 209657731/207258899*c_1100_0^4 - 1170467330/207258899*c_1100_0^3 + 569396197/207258899*c_1100_0^2 - 153693301/207258899*c_1100_0 + 277849554/207258899, c_1100_0^10 + c_1100_0^9 + 15/7*c_1100_0^8 - 39/7*c_1100_0^7 + 22/7*c_1100_0^6 - 6/7*c_1100_0^5 - 20/7*c_1100_0^4 + 2*c_1100_0^3 - 2/7*c_1100_0^2 + 4/7*c_1100_0 + 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.300 Total time: 0.510 seconds, Total memory usage: 32.09MB