Magma V2.19-8 Wed Aug 21 2013 00:58:19 on localhost [Seed = 4594332] Type ? for help. Type -D to quit. Loading file "L13n4980__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4980 geometric_solution 11.64975378 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 -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 6 -5 0 0 0 0 1 -3 0 2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.765437934358 1.182676125106 0 5 5 6 0132 0132 1302 0132 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 0 0 0 0 0 0 0 0 -5 0 5 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 0.238028197276 0.695235729097 4 0 8 7 0213 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 -1 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 1 -1 0 0 0 6 -6 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.851041621524 0.887476861214 9 10 11 0 0132 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 6 -6 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 0.611335885920 0.672872081408 2 7 0 9 0213 0132 0132 0321 1 1 1 0 0 0 -1 1 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 5 -5 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 -0.249219776034 0.798338201473 1 1 10 12 2031 0132 2031 0132 1 1 0 1 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 5 0 -5 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 0.559215320435 1.287449392883 11 9 1 10 0321 0321 0132 0132 1 1 1 1 0 -1 1 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 5 -5 0 0 0 0 0 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.934721161711 0.883243912097 8 4 2 12 0321 0132 0132 2031 1 1 0 1 0 0 0 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 0 0 0 0 0 0 0 -6 0 6 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.054652008434 1.214609980793 7 12 10 2 0321 2031 1302 0132 1 1 0 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 0 -1 1 0 0 6 -6 -2 -1 0 3 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574039977504 0.594541018663 3 4 11 6 0132 0321 0321 0321 1 1 1 1 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 5 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 0 0 0 0.572551002464 0.389951613628 8 3 6 5 2031 0132 0132 1302 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 1 0 0 -1 0 0 0 0 -6 1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.220855466386 1.422932567290 6 12 9 3 0321 1302 0321 0132 1 1 1 1 0 -1 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 0 0 0 6 0 -6 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.797764382468 0.782929614556 8 7 5 11 1302 1302 0132 2031 1 1 1 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 0 0 5 -5 6 0 0 -6 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.106760180438 1.088179113521 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_10']), 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : negation(d['c_0011_8']), 'c_1001_5' : negation(d['c_0110_10']), 'c_1001_4' : d['c_0011_12'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0110_10']), 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_12'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_0110_10'], 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : d['c_1001_3'], 's_3_11' : negation(d['1']), 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : negation(d['c_0101_0']), 'c_0101_10' : negation(d['c_0011_11']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0110_10']), 'c_1100_8' : negation(d['c_0011_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : d['c_1001_9'], 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_1001_9'], 'c_1100_3' : d['c_1001_9'], 'c_1100_2' : negation(d['c_0011_11']), 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_9'], 'c_1100_10' : d['c_0101_5'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0110_10']), 'c_1010_0' : d['c_0011_12'], 'c_1010_9' : d['c_1001_0'], 'c_1010_8' : d['c_0011_12'], 's_3_1' : d['1'], 's_3_0' : negation(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_1001_3']), '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' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0110_10']), 'c_0101_12' : negation(d['c_0011_8']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_10']), '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_0011_6']), 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : negation(d['c_0011_8']), 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : negation(d['c_0011_11'])})} 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_4, c_0011_6, c_0011_8, c_0101_0, c_0101_5, c_0110_10, c_1001_0, c_1001_3, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 1453797123/19457*c_1001_9^6 + 188432278/136199*c_1001_9^5 - 4282366890/136199*c_1001_9^4 + 27329649959/136199*c_1001_9^3 + 21363053489/136199*c_1001_9^2 + 33490606029/136199*c_1001_9 + 3521897250/136199, c_0011_0 - 1, c_0011_10 + 2188/19457*c_1001_9^6 - 32660/136199*c_1001_9^5 + 41296/136199*c_1001_9^4 - 37183/136199*c_1001_9^3 + 111033/136199*c_1001_9^2 - 34654/136199*c_1001_9 + 102995/136199, c_0011_11 + 317/19457*c_1001_9^6 - 32619/136199*c_1001_9^5 + 108568/136199*c_1001_9^4 - 843/136199*c_1001_9^3 + 10671/136199*c_1001_9^2 - 216540/136199*c_1001_9 + 7639/136199, c_0011_12 - 20992/19457*c_1001_9^6 + 72818/136199*c_1001_9^5 + 11899/136199*c_1001_9^4 + 332089/136199*c_1001_9^3 + 49971/136199*c_1001_9^2 + 321271/136199*c_1001_9 - 84804/136199, c_0011_4 + 12677/19457*c_1001_9^6 - 12342/19457*c_1001_9^5 + 14190/19457*c_1001_9^4 - 32866/19457*c_1001_9^3 - 11955/19457*c_1001_9^2 - 40688/19457*c_1001_9 + 7305/19457, c_0011_6 + 8104/19457*c_1001_9^6 - 100052/136199*c_1001_9^5 + 76015/136199*c_1001_9^4 - 200715/136199*c_1001_9^3 + 83325/136199*c_1001_9^2 - 156987/136199*c_1001_9 + 208178/136199, c_0011_8 - 7639/19457*c_1001_9^6 + 25136/136199*c_1001_9^5 - 55536/136199*c_1001_9^4 + 261348/136199*c_1001_9^3 + 52630/136199*c_1001_9^2 + 140534/136199*c_1001_9 - 133814/136199, c_0101_0 - 1, c_0101_5 - 7374/19457*c_1001_9^6 + 136215/136199*c_1001_9^5 + 2999/136199*c_1001_9^4 - 55579/136199*c_1001_9^3 - 205262/136199*c_1001_9^2 - 21151/136199*c_1001_9 + 49158/136199, c_0110_10 + 15013/19457*c_1001_9^6 - 161351/136199*c_1001_9^5 + 52537/136199*c_1001_9^4 - 205769/136199*c_1001_9^3 + 152632/136199*c_1001_9^2 - 119383/136199*c_1001_9 + 84656/136199, c_1001_0 - 20992/19457*c_1001_9^6 + 72818/136199*c_1001_9^5 + 11899/136199*c_1001_9^4 + 332089/136199*c_1001_9^3 + 49971/136199*c_1001_9^2 + 185072/136199*c_1001_9 - 84804/136199, c_1001_3 + 20527/19457*c_1001_9^6 + 2098/136199*c_1001_9^5 - 32378/136199*c_1001_9^4 - 392722/136199*c_1001_9^3 - 185926/136199*c_1001_9^2 - 168619/136199*c_1001_9 + 146639/136199, c_1001_9^7 - 3/7*c_1001_9^6 + 3/7*c_1001_9^5 - 20/7*c_1001_9^4 - c_1001_9^3 - 17/7*c_1001_9^2 + c_1001_9 + 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.400 seconds, Total memory usage: 32.09MB