Magma V2.19-8 Tue Aug 20 2013 23:52:14 on localhost [Seed = 3137130895] Type ? for help. Type -D to quit. Loading file "L13n1672__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n1672 geometric_solution 11.60318623 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 2103 0 1 0 0 0 1 0 -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 -1 0 1 -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 0.666510399143 0.974604267629 0 4 5 0 0132 0132 0132 2103 0 1 0 0 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 -1 1 0 1 0 -1 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 0.666510399143 0.974604267629 6 0 5 7 0132 0132 0213 0132 0 0 0 0 0 -1 1 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 -1 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 0.554914385295 0.788397344956 8 9 8 0 0132 0132 3120 0132 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 0 0 0 0 0 0 0 0 0 0 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 0.287049779239 0.744270839997 6 1 10 8 3201 0132 0132 0321 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 1 -1 0 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.860457657723 0.834897003381 10 2 10 1 0321 0213 2310 0132 0 1 0 0 0 -1 0 1 -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 1 0 -1 -10 0 9 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 0.179900980444 1.016822320394 2 9 9 4 0132 2031 3120 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.811392962307 0.793646047267 11 11 2 8 0132 1230 0132 0213 0 0 1 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.372861909000 1.302649562634 3 4 3 7 0132 0321 3120 0213 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 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 0.287049779239 0.744270839997 6 3 6 11 1302 0132 3120 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.006243112650 1.815709395914 5 5 11 4 0321 3201 0213 0132 0 0 0 1 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 0 -1 1 0 0 0 0 1 0 0 -1 10 -9 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.480576507120 0.595855997196 7 10 7 9 0132 0213 3012 2103 0 0 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 0 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 0.796907530870 0.709534306670 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_5'], 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_0011_11'], 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : negation(d['c_1001_2']), 'c_1001_7' : d['c_0110_9'], 'c_1001_6' : negation(d['c_0110_9']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0110_9'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0110_9'], 'c_1001_8' : negation(d['c_1001_3']), 'c_1010_11' : negation(d['c_1001_3']), 'c_1010_10' : negation(d['c_1001_2']), 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(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_11'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : negation(d['c_1001_3']), 'c_1100_7' : d['c_1001_1'], 'c_1100_6' : d['c_0011_0'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : d['c_1001_1'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_9']), 'c_1100_10' : negation(d['c_1001_3']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0110_9'], 'c_1010_2' : d['c_0110_9'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_1'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(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_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), '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_6'], 'c_0110_10' : negation(d['c_0011_5']), 'c_0110_0' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : negation(d['c_0101_11']), 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : negation(d['c_0011_10']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_0']), 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0101_11']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_6']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10']})} 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_10, c_0011_11, c_0011_3, c_0011_5, c_0101_0, c_0101_11, c_0101_6, c_0110_9, c_1001_1, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 1769734747003645587/5071762230534064000*c_1001_3^5 + 55560974998642073425511/76284375709462856624000*c_1001_3^4 - 4254962829840982147391/3051375028378514264960*c_1001_3^3 + 41235935779027006036393/38142187854731428312000*c_1001_3^2 - 10115109266994170864089/19071093927365714156000*c_1001_3 + 30614404224299340475893/76284375709462856624000, c_0011_0 - 1, c_0011_10 - 379384889/237673628*c_1001_3^5 + 166681147/118836814*c_1001_3^4 - 895918295/237673628*c_1001_3^3 - 349209599/237673628*c_1001_3^2 - 46213021/237673628*c_1001_3 + 7137436/59418407, c_0011_11 + 4656818829/475347256*c_1001_3^5 - 998842499/59418407*c_1001_3^4 + 1925247435/59418407*c_1001_3^3 - 4351989675/237673628*c_1001_3^2 + 4701403065/475347256*c_1001_3 - 5540267993/475347256, c_0011_3 + 249820701/237673628*c_1001_3^5 - 570582315/237673628*c_1001_3^4 + 569083793/118836814*c_1001_3^3 - 786072411/237673628*c_1001_3^2 + 21571894/59418407*c_1001_3 - 60703614/59418407, c_0011_5 + 811149131/237673628*c_1001_3^5 - 1558932993/237673628*c_1001_3^4 + 1438301861/118836814*c_1001_3^3 - 2098141325/237673628*c_1001_3^2 + 308685072/59418407*c_1001_3 - 315097261/59418407, c_0101_0 - 1, c_0101_11 + 698035572/59418407*c_1001_3^5 - 1246233981/59418407*c_1001_3^4 + 9410211181/237673628*c_1001_3^3 - 5462991379/237673628*c_1001_3^2 + 1235560949/118836814*c_1001_3 - 2988675303/237673628, c_0101_6 + 143603187/237673628*c_1001_3^5 - 184678413/237673628*c_1001_3^4 + 318765801/237673628*c_1001_3^3 + 48461655/118836814*c_1001_3^2 - 35684509/118836814*c_1001_3 + 25376963/237673628, c_0110_9 - 68503305/237673628*c_1001_3^5 + 111356053/118836814*c_1001_3^4 - 82169680/59418407*c_1001_3^3 + 75760635/59418407*c_1001_3^2 - 142706215/237673628*c_1001_3 - 1132429/237673628, c_1001_1 - 47867729/59418407*c_1001_3^5 + 61559471/59418407*c_1001_3^4 - 106255267/59418407*c_1001_3^3 - 32307770/59418407*c_1001_3^2 - 55434870/59418407*c_1001_3 + 70765555/59418407, c_1001_2 - 5158894/59418407*c_1001_3^5 + 161152635/237673628*c_1001_3^4 - 222423453/237673628*c_1001_3^3 + 167675155/118836814*c_1001_3^2 - 324944973/237673628*c_1001_3 + 100862318/59418407, c_1001_3^6 - 438/169*c_1001_3^5 + 813/169*c_1001_3^4 - 802/169*c_1001_3^3 + 430/169*c_1001_3^2 - 324/169*c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.170 Total time: 0.390 seconds, Total memory usage: 32.09MB