Magma V2.19-8 Tue Aug 20 2013 23:56:17 on localhost [Seed = 3431638232] Type ? for help. Type -D to quit. Loading file "L14n16051__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n16051 geometric_solution 11.70105261 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 0321 0132 1 1 1 1 0 0 0 0 0 0 -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 1 0 -1 0 0 -3 3 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657175434054 0.971958315951 0 4 0 5 0132 0132 0321 0132 1 1 1 1 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 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657175434054 0.971958315951 6 0 8 7 0132 0132 0132 0132 1 1 1 1 0 0 0 0 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 -1 0 1 0 0 2 -2 -2 0 0 2 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.408776934613 0.718049672422 5 9 0 7 0321 0132 0132 2310 1 1 1 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 0 0 0 0 0 0 0 0 0 1 -1 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 0.647527207182 1.125148723624 10 1 11 10 0132 0132 0132 2103 1 0 1 1 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 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 0.408776934613 0.718049672422 3 8 1 6 0321 0213 0132 1023 1 1 1 1 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 0 0 0 0 0 0 0 0 -3 0 3 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.522996697098 0.389950974283 2 10 7 5 0132 0132 3012 1023 1 1 1 1 0 1 -1 0 0 0 0 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 2 -2 0 0 0 0 0 3 0 0 -3 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.501435562633 1.186199706573 3 6 2 8 3201 1230 0132 1230 1 1 1 1 0 0 0 0 0 0 1 -1 0 1 0 -1 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 2 -2 1 2 0 -3 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467774692766 0.447236367992 7 11 5 2 3012 0132 0213 0132 1 1 1 1 0 0 0 0 0 0 1 -1 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 0 0 0 -1 0 3 -2 2 -2 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456781514406 0.924891545229 10 3 11 11 2103 0132 2103 0132 1 0 1 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 -1 0 0 1 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.472154225641 0.803896522155 4 6 9 4 0132 0132 2103 2103 1 0 1 1 0 -1 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 0 0 0 0 -2 2 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 0.408776934613 0.718049672422 9 8 9 4 2103 0132 0132 0132 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 0 0 -1 1 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456781514406 0.924891545229 ==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' : negation(d['c_0011_3']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_7']), 'c_1001_1' : d['c_0011_7'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : d['c_1001_11'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_1001_4'], 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : negation(d['c_0011_7']), '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_10'], '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_1100_8' : d['c_0101_2'], 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : negation(d['c_0101_4']), 'c_1100_7' : d['c_0101_2'], 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_0011_7'], 'c_1100_3' : d['c_0011_7'], 'c_1100_2' : d['c_0101_2'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_4']), 'c_1100_10' : negation(d['c_0101_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : d['c_0011_11'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_11'], 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : d['c_1001_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_3']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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_0101_4'], 'c_0110_10' : d['c_0101_4'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0101_7' : d['c_0011_5'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0011_5'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_4']), 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_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_11, c_0011_3, c_0011_5, c_0011_7, c_0101_0, c_0101_10, c_0101_2, c_0101_4, c_1001_0, c_1001_11, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 3715012322/10006365*c_1001_4^9 + 527962701/3335455*c_1001_4^8 + 4233703903/2001273*c_1001_4^7 - 25462135739/10006365*c_1001_4^6 + 4400587564/10006365*c_1001_4^5 - 7830887276/10006365*c_1001_4^4 + 16532564008/10006365*c_1001_4^3 - 2005569328/3335455*c_1001_4^2 - 167462561/2001273*c_1001_4 + 974567513/10006365, c_0011_0 - 1, c_0011_11 + 9840544/3335455*c_1001_4^9 - 4715716/3335455*c_1001_4^8 - 11006939/667091*c_1001_4^7 + 71038008/3335455*c_1001_4^6 - 18983658/3335455*c_1001_4^5 + 21226877/3335455*c_1001_4^4 - 48224241/3335455*c_1001_4^3 + 21536453/3335455*c_1001_4^2 + 36134/667091*c_1001_4 - 842426/3335455, c_0011_3 + 10748437/3335455*c_1001_4^9 - 14708088/3335455*c_1001_4^8 - 11947167/667091*c_1001_4^7 + 129413779/3335455*c_1001_4^6 - 68687489/3335455*c_1001_4^5 + 28860716/3335455*c_1001_4^4 - 71764858/3335455*c_1001_4^3 + 60819109/3335455*c_1001_4^2 - 1104662/667091*c_1001_4 - 8100168/3335455, c_0011_5 + 2265697/667091*c_1001_4^9 - 2784515/667091*c_1001_4^8 - 12123905/667091*c_1001_4^7 + 26416823/667091*c_1001_4^6 - 14446546/667091*c_1001_4^5 + 4671447/667091*c_1001_4^4 - 15124348/667091*c_1001_4^3 + 12956469/667091*c_1001_4^2 - 557999/667091*c_1001_4 - 1784472/667091, c_0011_7 - 9840544/3335455*c_1001_4^9 + 4715716/3335455*c_1001_4^8 + 11006939/667091*c_1001_4^7 - 71038008/3335455*c_1001_4^6 + 18983658/3335455*c_1001_4^5 - 21226877/3335455*c_1001_4^4 + 48224241/3335455*c_1001_4^3 - 21536453/3335455*c_1001_4^2 - 703225/667091*c_1001_4 + 4177881/3335455, c_0101_0 - 4038069/3335455*c_1001_4^9 - 7717204/3335455*c_1001_4^8 + 4091682/667091*c_1001_4^7 + 24614572/3335455*c_1001_4^6 - 24239187/3335455*c_1001_4^5 - 20588572/3335455*c_1001_4^4 - 6126789/3335455*c_1001_4^3 + 21910147/3335455*c_1001_4^2 + 551681/667091*c_1001_4 - 3528419/3335455, c_0101_10 + 5896982/3335455*c_1001_4^9 - 13210248/3335455*c_1001_4^8 - 5964750/667091*c_1001_4^7 + 100525699/3335455*c_1001_4^6 - 76092564/3335455*c_1001_4^5 + 25723066/3335455*c_1001_4^4 - 51554213/3335455*c_1001_4^3 + 59175779/3335455*c_1001_4^2 - 2959409/667091*c_1001_4 - 6043403/3335455, c_0101_2 - 8584303/3335455*c_1001_4^9 + 8759257/3335455*c_1001_4^8 + 10017568/667091*c_1001_4^7 - 85949481/3335455*c_1001_4^6 + 26081021/3335455*c_1001_4^5 - 20528739/3335455*c_1001_4^4 + 59069292/3335455*c_1001_4^3 - 28630311/3335455*c_1001_4^2 - 562197/667091*c_1001_4 + 2513142/3335455, c_0101_4 - 1, c_1001_0 - 9840544/3335455*c_1001_4^9 + 4715716/3335455*c_1001_4^8 + 11006939/667091*c_1001_4^7 - 71038008/3335455*c_1001_4^6 + 18983658/3335455*c_1001_4^5 - 21226877/3335455*c_1001_4^4 + 48224241/3335455*c_1001_4^3 - 21536453/3335455*c_1001_4^2 - 703225/667091*c_1001_4 + 4177881/3335455, c_1001_11 - c_1001_4, c_1001_4^10 - 4/7*c_1001_4^9 - 41/7*c_1001_4^8 + 54/7*c_1001_4^7 - 6/7*c_1001_4^6 + 8/7*c_1001_4^5 - 36/7*c_1001_4^4 + 13/7*c_1001_4^3 + 8/7*c_1001_4^2 - 3/7*c_1001_4 - 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.340 seconds, Total memory usage: 32.09MB