Magma V2.19-8 Wed Aug 21 2013 01:00:41 on localhost [Seed = 947790635] Type ? for help. Type -D to quit. Loading file "L13n9798__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9798 geometric_solution 12.75754410 oriented_manifold CS_known 0.0000000000000000 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 2 1 2 0 0 0 0 0 0 0 0 0 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 1 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 0.555718767467 0.568552843000 0 5 5 6 0132 0132 0321 0132 0 2 2 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 -2 1 1 -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 0 0 0 0.743691414202 0.856866990502 7 0 9 8 0132 0132 0132 0132 1 2 2 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 1 0 -1 5 0 0 -5 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.403099024055 1.128390163556 7 9 8 0 2031 2031 2103 0132 1 2 2 2 0 0 0 0 -1 0 1 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 -6 0 5 1 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.566253150245 0.704690226597 10 10 0 11 0132 3120 0132 0132 1 2 1 1 0 1 0 -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 -1 -1 2 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 0.743691414202 0.856866990502 10 1 1 11 3201 0132 0321 2031 0 1 1 2 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 2 -1 -1 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.743691414202 0.856866990502 12 11 1 11 0132 2031 0132 2103 0 2 1 2 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 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.320419724549 1.071197378021 2 12 3 9 0132 1302 1302 1302 2 2 1 2 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 0 0 6 -6 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.566253150245 0.704690226597 3 9 2 12 2103 2103 0132 0132 1 2 1 2 0 0 0 0 -1 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 0 1 -1 -5 0 5 0 0 0 0 0 6 -5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.366296888427 0.692452890009 3 8 7 2 1302 2103 2031 0132 1 2 1 2 0 0 0 0 -1 0 1 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 -6 0 6 0 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.054245772327 0.969819377011 4 4 12 5 0132 3120 0213 2310 1 2 1 1 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 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 0.743691414202 0.856866990502 6 5 4 6 1302 1302 0132 2103 1 2 0 1 0 0 1 -1 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 -2 2 0 0 0 0 0 1 0 -1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.743691414202 0.856866990502 6 10 8 7 0132 0213 0132 2031 1 2 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 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 0.120803439032 0.899501210967 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0110_11']), 'c_1001_4' : negation(d['c_1001_10']), 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0110_11']), 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : d['c_0011_9'], 'c_1001_3' : d['c_0011_8'], 'c_1001_2' : negation(d['c_1001_10']), 'c_1001_9' : d['c_0011_8'], 'c_1001_8' : d['c_0011_9'], 'c_1010_12' : d['c_0011_0'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : d['c_0011_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_12'], 'c_0101_10' : d['c_0011_12'], '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' : negation(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' : negation(d['1']), 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : negation(d['c_0101_12']), 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : negation(d['c_0110_11']), 'c_1100_1' : negation(d['c_0110_11']), 'c_1100_0' : negation(d['c_0101_12']), 'c_1100_3' : negation(d['c_0101_12']), 'c_1100_2' : negation(d['c_1010_7']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : d['c_0011_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1010_7'], 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_0011_9'], 'c_1010_2' : d['c_0011_9'], 'c_1010_1' : negation(d['c_0110_11']), 'c_1010_0' : negation(d['c_1001_10']), 'c_1010_9' : negation(d['c_1001_10']), 'c_1010_8' : d['c_1001_10'], 'c_1100_8' : negation(d['c_1010_7']), 's_3_1' : negation(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'], 'c_1100_12' : negation(d['c_1010_7']), '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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], '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' : negation(d['c_0011_12']), '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_0110_11'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_8']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : negation(d['c_0011_3']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1010_7']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0011_12'], 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : d['c_0101_12']})} 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_12, c_0011_3, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_12, c_0110_11, c_1001_10, c_1010_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 896705/254*c_1010_7^9 - 6275619/508*c_1010_7^8 - 3741067/254*c_1010_7^7 + 534117/254*c_1010_7^6 + 2060310/127*c_1010_7^5 + 2781493/254*c_1010_7^4 - 85856/127*c_1010_7^3 - 1081903/254*c_1010_7^2 - 454773/254*c_1010_7 - 125171/508, c_0011_0 - 1, c_0011_10 + 72865/508*c_1010_7^9 + 258003/508*c_1010_7^8 + 78174/127*c_1010_7^7 - 9591/127*c_1010_7^6 - 173809/254*c_1010_7^5 - 60787/127*c_1010_7^4 + 5319/254*c_1010_7^3 + 23298/127*c_1010_7^2 + 41137/508*c_1010_7 + 5763/508, c_0011_11 - 1, c_0011_12 + 578721/508*c_1010_7^9 + 1966885/508*c_1010_7^8 + 553723/127*c_1010_7^7 - 149515/127*c_1010_7^6 - 1347175/254*c_1010_7^5 - 412113/127*c_1010_7^4 + 117259/254*c_1010_7^3 + 178824/127*c_1010_7^2 + 278505/508*c_1010_7 + 36937/508, c_0011_3 + 21755/508*c_1010_7^9 + 87935/508*c_1010_7^8 + 60905/254*c_1010_7^7 + 3073/254*c_1010_7^6 - 33536/127*c_1010_7^5 - 52657/254*c_1010_7^4 - 661/127*c_1010_7^3 + 19623/254*c_1010_7^2 + 19613/508*c_1010_7 + 2681/508, c_0011_8 + 13110/127*c_1010_7^9 + 91705/254*c_1010_7^8 + 53744/127*c_1010_7^7 - 10817/127*c_1010_7^6 - 63872/127*c_1010_7^5 - 41302/127*c_1010_7^4 + 3998/127*c_1010_7^3 + 17291/127*c_1010_7^2 + 7291/127*c_1010_7 + 1913/254, c_0011_9 + c_1010_7, c_0101_0 - 1, c_0101_1 - 578721/508*c_1010_7^9 - 1966885/508*c_1010_7^8 - 553723/127*c_1010_7^7 + 149515/127*c_1010_7^6 + 1347175/254*c_1010_7^5 + 412113/127*c_1010_7^4 - 117259/254*c_1010_7^3 - 178824/127*c_1010_7^2 - 278505/508*c_1010_7 - 36937/508, c_0101_12 - 1, c_0110_11 + 213085/508*c_1010_7^9 + 718735/508*c_1010_7^8 + 397771/254*c_1010_7^7 - 121877/254*c_1010_7^6 - 247044/127*c_1010_7^5 - 291037/254*c_1010_7^4 + 24385/127*c_1010_7^3 + 130363/254*c_1010_7^2 + 97783/508*c_1010_7 + 12973/508, c_1001_10 - 443935/508*c_1010_7^9 - 1514335/508*c_1010_7^8 - 429206/127*c_1010_7^7 + 110096/127*c_1010_7^6 + 1037439/254*c_1010_7^5 + 322108/127*c_1010_7^4 - 83517/254*c_1010_7^3 - 138159/127*c_1010_7^2 - 219691/508*c_1010_7 - 29951/508, c_1010_7^10 + 50/19*c_1010_7^9 + 23/19*c_1010_7^8 - 4*c_1010_7^7 - 74/19*c_1010_7^6 + 14/19*c_1010_7^5 + 50/19*c_1010_7^4 + 18/19*c_1010_7^3 - 9/19*c_1010_7^2 - 6/19*c_1010_7 - 1/19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB