Magma V2.19-8 Wed Aug 21 2013 01:01:20 on localhost [Seed = 2067620021] Type ? for help. Type -D to quit. Loading file "L14n1028__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n1028 geometric_solution 12.38798144 oriented_manifold CS_known -0.0000000000000010 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 2 0 -2 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 -1 0 1 -1 0 1 0 0 1 0 -1 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.681774998972 0.701090116731 0 5 7 6 0132 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 -9 8 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.300103497292 0.990903875565 8 0 7 9 0132 0132 3201 0132 0 1 1 1 0 -2 1 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 1 0 -1 0 0 0 0 0 9 0 -9 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.302027712452 1.106225235690 9 5 10 0 0213 1230 0132 0132 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 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 0.525437222865 0.618798103956 8 5 0 11 3201 1302 0132 0132 0 1 1 1 0 -1 2 -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 1 -1 0 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.814006347680 0.888133946422 12 1 3 4 0132 0132 3012 2031 1 0 1 1 0 0 0 0 -1 0 0 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 1 -1 1 0 0 -1 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.478083203567 0.864232474976 11 8 1 10 0132 3201 0132 2310 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 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 0.121642082074 1.065593050600 2 11 10 1 2310 3120 2310 0132 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 -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 -0.446962909813 0.676466344366 2 12 6 4 0132 0132 2310 2310 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 0 0 0 0 0 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 0.557437893040 0.721568165478 3 12 2 11 0213 1302 0132 0213 0 1 1 1 0 1 -1 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 0 0 0 0 0 0 0 0 -1 -8 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.138846284778 0.816672301948 6 7 12 3 3201 3201 1023 0132 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 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 0.194633829607 1.093522912739 6 7 4 9 0132 3120 0132 0213 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.885704416485 0.761665909679 5 8 10 9 0132 0132 1023 2031 1 0 1 1 0 0 0 0 1 0 0 -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 1 -1 0 -1 0 0 1 -8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.576130758602 0.763398205994 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0101_12'], 'c_1001_7' : negation(d['c_1001_11']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : d['c_0101_12'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_0011_9'], 'c_1010_12' : d['c_0011_9'], 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : d['c_1001_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : negation(d['c_0101_10']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : d['1'], 's_0_7' : negation(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_1100_8' : negation(d['c_0011_11']), 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_1001_11']), 'c_1100_4' : d['c_1010_9'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : d['c_1010_9'], 'c_1100_3' : d['c_1010_9'], 'c_1100_2' : negation(d['c_0011_7']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1010_9'], 'c_1100_10' : d['c_1010_9'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0101_12'], 'c_1010_9' : d['c_1010_9'], 'c_1010_8' : d['c_0101_10'], '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1010_9']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_11']), '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_0011_9'], 'c_0110_12' : d['c_0101_5'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_12']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_9'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_3'], 'c_0101_8' : d['c_0011_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' : negation(d['c_0101_0']), 'c_0110_8' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_7']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : negation(d['c_0101_10']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_10']), '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_11, c_0011_3, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_5, c_1001_11, c_1010_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 26664845312/3441555*c_1010_9^11 + 6821804032/1147185*c_1010_9^10 - 25845874688/1147185*c_1010_9^9 - 57963329536/3441555*c_1010_9^8 + 30490829312/1147185*c_1010_9^7 + 78671485312/3441555*c_1010_9^6 - 12255544576/1147185*c_1010_9^5 - 4508823776/382395*c_1010_9^4 + 115978976/3441555*c_1010_9^3 + 6265628456/3441555*c_1010_9^2 + 600493744/1147185*c_1010_9 + 303841112/3441555, c_0011_0 - 1, c_0011_10 + 38144/15*c_1010_9^11 + 5376/5*c_1010_9^10 - 38208/5*c_1010_9^9 - 48832/15*c_1010_9^8 + 9888*c_1010_9^7 + 70816/15*c_1010_9^6 - 27204/5*c_1010_9^5 - 12468/5*c_1010_9^4 + 18254/15*c_1010_9^3 + 4889/15*c_1010_9^2 - 318/5*c_1010_9 + 551/15, c_0011_11 + 75584/45*c_1010_9^11 + 33344/45*c_1010_9^10 - 226928/45*c_1010_9^9 - 100544/45*c_1010_9^8 + 97688/15*c_1010_9^7 + 144772/45*c_1010_9^6 - 160199/45*c_1010_9^5 - 15239/9*c_1010_9^4 + 23591/30*c_1010_9^3 + 222*c_1010_9^2 - 1829/45*c_1010_9 + 433/18, c_0011_3 + 8704/15*c_1010_9^11 + 3776/15*c_1010_9^10 - 25856/15*c_1010_9^9 - 3696/5*c_1010_9^8 + 11024/5*c_1010_9^7 + 15704/15*c_1010_9^6 - 17828/15*c_1010_9^5 - 7837/15*c_1010_9^4 + 4034/15*c_1010_9^3 + 1789/30*c_1010_9^2 - 523/30*c_1010_9 + 41/5, c_0011_7 - 83456/45*c_1010_9^11 - 37376/45*c_1010_9^10 + 250112/45*c_1010_9^9 + 112256/45*c_1010_9^8 - 107552/15*c_1010_9^7 - 160768/45*c_1010_9^6 + 175976/45*c_1010_9^5 + 16760/9*c_1010_9^4 - 4334/5*c_1010_9^3 - 718/3*c_1010_9^2 + 2081/45*c_1010_9 - 242/9, c_0011_9 - 51584/45*c_1010_9^11 - 2624/5*c_1010_9^10 + 51232/15*c_1010_9^9 + 70288/45*c_1010_9^8 - 65744/15*c_1010_9^7 - 99664/45*c_1010_9^6 + 35426/15*c_1010_9^5 + 17009/15*c_1010_9^4 - 23354/45*c_1010_9^3 - 12859/90*c_1010_9^2 + 136/5*c_1010_9 - 1411/90, c_0101_0 - 3584/3*c_1010_9^11 - 26176/45*c_1010_9^10 + 160384/45*c_1010_9^9 + 77552/45*c_1010_9^8 - 22896/5*c_1010_9^7 - 12104/5*c_1010_9^6 + 111052/45*c_1010_9^5 + 55631/45*c_1010_9^4 - 4936/9*c_1010_9^3 - 14167/90*c_1010_9^2 + 589/18*c_1010_9 - 769/45, c_0101_1 + 14912/9*c_1010_9^11 + 3648/5*c_1010_9^10 - 74576/15*c_1010_9^9 - 98624/45*c_1010_9^8 + 96376/15*c_1010_9^7 + 141572/45*c_1010_9^6 - 52813/15*c_1010_9^5 - 24649/15*c_1010_9^4 + 14197/18*c_1010_9^3 + 9622/45*c_1010_9^2 - 43*c_1010_9 + 2081/90, c_0101_10 + 61312/45*c_1010_9^11 + 27968/45*c_1010_9^10 - 183008/45*c_1010_9^9 - 9296/5*c_1010_9^8 + 78352/15*c_1010_9^7 + 119312/45*c_1010_9^6 - 126974/45*c_1010_9^5 - 61831/45*c_1010_9^4 + 27902/45*c_1010_9^3 + 16027/90*c_1010_9^2 - 1502/45*c_1010_9 + 187/10, c_0101_12 - 12928/9*c_1010_9^11 - 5504/9*c_1010_9^10 + 39008/9*c_1010_9^9 + 1856*c_1010_9^8 - 16912/3*c_1010_9^7 - 24200/9*c_1010_9^6 + 28190/9*c_1010_9^5 + 12826/9*c_1010_9^4 - 6419/9*c_1010_9^3 - 1682/9*c_1010_9^2 + 359/9*c_1010_9 - 21, c_0101_5 - 1, c_1001_11 + 66688/45*c_1010_9^11 + 640*c_1010_9^10 - 66848/15*c_1010_9^9 - 86912/45*c_1010_9^8 + 86512/15*c_1010_9^7 + 125576/45*c_1010_9^6 - 47554/15*c_1010_9^5 - 22114/15*c_1010_9^4 + 31873/45*c_1010_9^3 + 8842/45*c_1010_9^2 - 187/5*c_1010_9 + 913/45, c_1010_9^12 + c_1010_9^11 - 11/4*c_1010_9^10 - 3*c_1010_9^9 + 25/8*c_1010_9^8 + 65/16*c_1010_9^7 - 67/64*c_1010_9^6 - 139/64*c_1010_9^5 - 11/128*c_1010_9^4 + 25/64*c_1010_9^3 + 3/64*c_1010_9^2 + 1/128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.450 Total time: 0.660 seconds, Total memory usage: 32.09MB