Magma V2.19-8 Wed Aug 21 2013 01:07:58 on localhost [Seed = 2210765484] Type ? for help. Type -D to quit. Loading file "L14n37612__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n37612 geometric_solution 11.20636594 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 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 0 0 1 0 4 -5 4 0 0 -4 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.224342255416 0.673570350894 0 5 7 6 0132 0132 0132 0132 0 1 1 0 0 0 0 0 0 0 0 0 -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 -1 0 1 -1 0 1 0 5 -5 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.728721892901 0.702391016029 8 0 9 4 0132 0132 0132 2310 0 0 1 0 0 0 0 0 1 0 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 -4 0 0 4 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599680875195 1.255854236042 8 5 10 0 1302 1230 0132 0132 0 1 1 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 4 -4 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.161886180094 0.709009704302 2 11 0 10 3201 0132 0132 0132 0 1 0 0 0 0 0 0 1 0 -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 1 0 -1 -5 0 5 0 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.961301818754 0.334822201700 10 1 3 11 0321 0132 3012 2103 0 0 0 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 1 -1 0 0 0 0 0 1 -4 0 3 -4 5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599680875195 1.255854236042 8 12 1 7 2310 0132 0132 3120 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 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 1.431594156647 0.689242721781 6 9 12 1 3120 2103 3201 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 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.178650651742 0.610978026211 2 3 6 12 0132 2031 3201 2103 1 0 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 0 0 0 0 1 0 -1 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.728721892901 0.702391016029 10 7 11 2 1230 2103 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.002998854405 0.993564030825 5 9 4 3 0321 3012 0132 0132 0 1 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 -1 1 0 4 0 0 -4 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.210601743783 1.467848817765 9 4 12 5 2310 0132 1023 2103 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 -1 4 -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 0 0 0.503235828787 0.501500946829 7 6 11 8 2310 0132 1023 2103 0 0 1 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 -4 4 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.783798427466 0.583044982231 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : negation(d['c_0011_9']), 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_12' : negation(d['c_0011_7']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_10']), 'c_1001_3' : negation(d['c_0101_9']), 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : d['c_0011_7'], 'c_1001_8' : negation(d['c_0101_0']), 'c_1010_12' : negation(d['c_0011_3']), 'c_1010_11' : negation(d['c_1001_1']), 'c_1010_10' : negation(d['c_0101_9']), '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'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_7']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(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' : 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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_9'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_12']), 'c_1100_6' : negation(d['c_0011_12']), 'c_1100_1' : negation(d['c_0011_12']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_11']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_9']), 'c_1010_3' : negation(d['c_0101_10']), 'c_1010_2' : negation(d['c_0101_10']), 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : negation(d['c_1001_1']), 'c_1010_8' : d['c_0011_3'], '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' : negation(d['1']), 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_10']), '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' : 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_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' : negation(d['c_0101_9']), 'c_0110_10' : negation(d['c_0011_0']), 'c_0110_12' : negation(d['c_0011_12']), 'c_0101_12' : negation(d['c_0011_9']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_12'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_1']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_0011_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_7, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_9, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 10743987684455/9388419562387008*c_1100_0^7 + 27317419051573/2347104890596752*c_1100_0^6 - 184604344894481/3129473187462336*c_1100_0^5 + 429277853563561/2347104890596752*c_1100_0^4 - 242609881175/613141298484*c_1100_0^3 + 2239761264987901/4694209781193504*c_1100_0^2 - 334847097686215/722186120183616*c_1100_0 + 1492167050289/16299339518033, c_0011_0 - 1, c_0011_10 - 4816/423093*c_1100_0^7 + 752591/5500209*c_1100_0^6 - 1434370/1833403*c_1100_0^5 + 14969519/5500209*c_1100_0^4 - 1049666/166673*c_1100_0^3 + 48894676/5500209*c_1100_0^2 - 41441195/5500209*c_1100_0 + 7908441/1833403, c_0011_11 - 8/166673*c_1100_0^7 + 190/12821*c_1100_0^6 - 24357/166673*c_1100_0^5 + 115829/166673*c_1100_0^4 - 352831/166673*c_1100_0^3 + 772051/166673*c_1100_0^2 - 808885/166673*c_1100_0 + 626413/166673, c_0011_12 - 11977/5500209*c_1100_0^7 + 226613/5500209*c_1100_0^6 - 547345/1833403*c_1100_0^5 + 6915383/5500209*c_1100_0^4 - 558360/166673*c_1100_0^3 + 31649071/5500209*c_1100_0^2 - 2102090/423093*c_1100_0 + 6380342/1833403, c_0011_3 - 122468/5500209*c_1100_0^7 + 1272145/5500209*c_1100_0^6 - 2150455/1833403*c_1100_0^5 + 19864444/5500209*c_1100_0^4 - 1291010/166673*c_1100_0^3 + 4059329/423093*c_1100_0^2 - 50020471/5500209*c_1100_0 + 8127078/1833403, c_0011_7 - 38098/1833403*c_1100_0^7 + 396941/1833403*c_1100_0^6 - 1986586/1833403*c_1100_0^5 + 5916048/1833403*c_1100_0^4 - 82600/12821*c_1100_0^3 + 12512564/1833403*c_1100_0^2 - 10194168/1833403*c_1100_0 + 800831/1833403, c_0011_9 - 43247/1833403*c_1100_0^7 + 425738/1833403*c_1100_0^6 - 158847/141031*c_1100_0^5 + 6032570/1833403*c_1100_0^4 - 1124546/166673*c_1100_0^3 + 12605331/1833403*c_1100_0^2 - 10400373/1833403*c_1100_0 + 3298814/1833403, c_0101_0 - 1, c_0101_1 - 31381/5500209*c_1100_0^7 + 294296/5500209*c_1100_0^6 - 425124/1833403*c_1100_0^5 + 223499/423093*c_1100_0^4 - 99410/166673*c_1100_0^3 - 4948391/5500209*c_1100_0^2 + 10894420/5500209*c_1100_0 - 3690785/1833403, c_0101_10 + 8841/1833403*c_1100_0^7 - 78917/1833403*c_1100_0^6 + 376457/1833403*c_1100_0^5 - 1127305/1833403*c_1100_0^4 + 225432/166673*c_1100_0^3 - 185608/141031*c_1100_0^2 + 2063031/1833403*c_1100_0 + 1442783/1833403, c_0101_9 - 33842/1833403*c_1100_0^7 + 377822/1833403*c_1100_0^6 - 2041977/1833403*c_1100_0^5 + 6643543/1833403*c_1100_0^4 - 1335443/166673*c_1100_0^3 + 19989631/1833403*c_1100_0^2 - 18307085/1833403*c_1100_0 + 9946741/1833403, c_1001_1 + 3514/500019*c_1100_0^7 - 27215/500019*c_1100_0^6 + 30880/166673*c_1100_0^5 - 103523/500019*c_1100_0^4 - 5158/12821*c_1100_0^3 + 1309406/500019*c_1100_0^2 - 1201195/500019*c_1100_0 + 441113/166673, c_1100_0^8 - 11*c_1100_0^7 + 60*c_1100_0^6 - 203*c_1100_0^5 + 483*c_1100_0^4 - 730*c_1100_0^3 + 839*c_1100_0^2 - 597*c_1100_0 + 279 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.430 Total time: 2.629 seconds, Total memory usage: 32.09MB