Magma V2.19-8 Wed Aug 21 2013 01:09:36 on localhost [Seed = 543570367] Type ? for help. Type -D to quit. Loading file "L14n47040__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n47040 geometric_solution 12.36221152 oriented_manifold CS_known -0.0000000000000003 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 2 0 2 0 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 1 0 -1 -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 0.265039379166 1.079502071494 0 5 5 6 0132 0132 0321 0132 1 0 0 2 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 -1 0 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 0.138577196016 0.797015933660 7 0 9 8 0132 0132 0132 0132 2 2 0 2 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 -3 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 0 0 0 0.240845299908 1.146034485643 10 11 11 0 0132 0132 1302 0132 2 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 0 0 0 0 0 1 -1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.585289271542 0.746372031406 6 11 0 6 1302 0321 0132 2103 2 0 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 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 0.585289271542 0.746372031406 7 1 1 8 1023 0132 0321 2103 1 2 2 0 0 0 0 0 1 0 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 1 0 -1 4 0 0 -4 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.138577196016 0.797015933660 12 4 1 4 0132 2031 0132 2103 1 0 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 0 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 0.568832320257 1.023751027562 2 5 12 9 0132 1023 3012 2031 2 2 2 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 -4 1 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 0.824380168920 0.835666641023 10 10 2 5 1023 0321 0132 2103 2 2 1 0 0 1 -1 0 -1 0 0 1 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 4 -4 0 -4 0 0 4 7 -8 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.788250089359 1.217863094241 9 7 9 2 2031 1302 1302 0132 2 2 2 2 0 0 -1 1 1 0 -1 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 0 -3 3 3 0 -3 0 3 -3 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399080444261 0.259988477219 3 8 12 8 0132 1023 0132 0321 2 0 1 0 0 1 0 -1 -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 4 0 -4 0 0 0 0 -1 -7 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625450542925 0.578686849387 3 3 12 4 2031 0132 0321 0321 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 0 0 0 0 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.349414551154 0.829638960884 6 7 11 10 0132 1230 0321 0132 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 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 0.785492322117 0.873687085123 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_0101_7'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0110_4']), 'c_1001_4' : d['c_1001_12'], 'c_1001_7' : negation(d['c_0011_12']), 'c_1001_6' : negation(d['c_0110_4']), 'c_1001_1' : negation(d['c_0110_8']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_1001_12'], 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0101_7'], 'c_1010_11' : negation(d['c_0011_4']), 'c_1010_10' : d['c_0110_8'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(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' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0110_8']), 'c_1100_4' : d['c_0101_11'], 'c_1100_7' : negation(d['c_1001_12']), 'c_1100_6' : negation(d['c_0110_4']), 'c_1100_1' : negation(d['c_0110_4']), 'c_1100_0' : d['c_0101_11'], 'c_1100_3' : d['c_0101_11'], 'c_1100_2' : negation(d['c_0011_9']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_9']), 'c_1100_11' : d['c_1001_12'], 'c_1100_10' : d['c_1001_0'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_9'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0110_8']), 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : d['c_1001_12'], 'c_1010_9' : d['c_1001_12'], 'c_1010_8' : d['c_0110_8'], 'c_1100_8' : negation(d['c_0011_9']), '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' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_1001_0'], '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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_4']), 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : negation(d['c_0101_11']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_12']), 'c_0101_4' : d['c_0011_12'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_12'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_9']), 'c_0101_8' : d['c_0101_7'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_12'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_9'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_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_12, c_0011_4, c_0011_9, c_0101_0, c_0101_11, c_0101_2, c_0101_7, c_0110_4, c_0110_8, c_1001_0, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 1910349557697355/968851497586688*c_1001_12^6 - 6360268933799033/2422128743966720*c_1001_12^5 - 12151147691152679/968851497586688*c_1001_12^4 + 94904159339354737/2422128743966720*c_1001_12^3 + 165371239262403039/968851497586688*c_1001_12^2 + 17706138056257833/151383046497920*c_1001_12 + 31518476430240751/1211064371983360, c_0011_0 - 1, c_0011_10 - 22261687915/473072020306*c_1001_12^6 + 526962569661/4730720203060*c_1001_12^5 + 44410266594/236536010153*c_1001_12^4 - 5235122733759/4730720203060*c_1001_12^3 - 712221017841/236536010153*c_1001_12^2 + 2033568125349/4730720203060*c_1001_12 - 956971187657/2365360101530, c_0011_12 + 23215981495/946144040612*c_1001_12^6 - 131722012927/2365360101530*c_1001_12^5 - 111541429547/946144040612*c_1001_12^4 + 705138021324/1182680050765*c_1001_12^3 + 1584068053457/946144040612*c_1001_12^2 - 1536198261563/2365360101530*c_1001_12 - 59646222421/1182680050765, c_0011_4 - 10590316940/236536010153*c_1001_12^6 + 211563623471/2365360101530*c_1001_12^5 + 109486432755/473072020306*c_1001_12^4 - 1223772211787/1182680050765*c_1001_12^3 - 1483058745195/473072020306*c_1001_12^2 - 2151489605411/2365360101530*c_1001_12 + 778843480828/1182680050765, c_0011_9 + 6594548165/236536010153*c_1001_12^6 - 80445289193/1182680050765*c_1001_12^5 - 32819837480/236536010153*c_1001_12^4 + 879553909242/1182680050765*c_1001_12^3 + 406904451687/236536010153*c_1001_12^2 - 1326796722327/1182680050765*c_1001_12 - 816997131348/1182680050765, c_0101_0 - 1, c_0101_11 + 10026885165/473072020306*c_1001_12^6 - 51276723734/1182680050765*c_1001_12^5 - 45901754587/473072020306*c_1001_12^4 + 530722133406/1182680050765*c_1001_12^3 + 770259150083/473072020306*c_1001_12^2 + 973278511529/1182680050765*c_1001_12 - 484975364259/1182680050765, c_0101_2 + 8718969375/236536010153*c_1001_12^6 - 51235192775/473072020306*c_1001_12^5 - 53213279001/473072020306*c_1001_12^4 + 495786375933/473072020306*c_1001_12^3 + 447212796644/236536010153*c_1001_12^2 - 382253624418/236536010153*c_1001_12 - 178155514076/236536010153, c_0101_7 - 1, c_0110_4 - 22261687915/473072020306*c_1001_12^6 + 526962569661/4730720203060*c_1001_12^5 + 44410266594/236536010153*c_1001_12^4 - 5235122733759/4730720203060*c_1001_12^3 - 712221017841/236536010153*c_1001_12^2 + 2033568125349/4730720203060*c_1001_12 - 956971187657/2365360101530, c_0110_8 + 1, c_1001_0 - 23215981495/946144040612*c_1001_12^6 + 131722012927/2365360101530*c_1001_12^5 + 111541429547/946144040612*c_1001_12^4 - 705138021324/1182680050765*c_1001_12^3 - 1584068053457/946144040612*c_1001_12^2 + 1536198261563/2365360101530*c_1001_12 + 59646222421/1182680050765, c_1001_12^7 - 46/25*c_1001_12^6 - 141/25*c_1001_12^5 + 574/25*c_1001_12^4 + 1909/25*c_1001_12^3 + 416/25*c_1001_12^2 - 76/5*c_1001_12 - 256/25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB