Magma V2.19-8 Wed Aug 21 2013 01:06:45 on localhost [Seed = 2244189565] Type ? for help. Type -D to quit. Loading file "L14n32834__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32834 geometric_solution 12.31840966 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 0 0 0 1 0 -1 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 1 0 -1 -3 0 4 -1 3 1 0 -4 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.963259116996 0.575946664148 0 3 5 4 0132 0132 0132 0132 0 0 0 0 0 1 -1 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 -4 4 0 3 0 -3 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664612879373 0.444235752903 4 6 7 0 0132 0132 0132 0132 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 0 0 0 0 0 4 -4 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664612879373 0.444235752903 8 1 7 9 0132 0132 1302 0132 0 1 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 0 0 0 0 0 0 0 4 -4 0 1 0 4 -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 0.612443422045 0.635039828689 2 4 1 4 0132 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.956982478782 0.838977643209 6 10 6 1 2031 0132 3201 0132 0 0 0 1 0 0 -1 1 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 0 4 -4 0 0 -3 3 0 3 0 -3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.430317424914 0.791477826566 5 2 5 11 2310 0132 1302 0132 0 1 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 0 0 0 0 0 1 -1 3 0 0 -3 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.430317424914 0.791477826566 3 12 8 2 2031 0132 2310 0132 0 0 0 1 0 0 0 0 -1 0 0 1 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 4 0 0 -4 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.612443422045 0.635039828689 3 7 12 9 0132 3201 1230 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 -4 4 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 0.563233957012 0.728856642772 8 10 3 11 3012 0213 0132 0213 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 5 -5 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.305333678279 0.708741520224 12 5 9 11 0213 0132 0213 3120 0 1 1 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 0 0 0 0 0 0 0 -4 -1 0 5 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.611053176346 0.522642853966 10 12 6 9 3120 0213 0132 0213 0 1 1 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 0 0 0 0 0 1 -1 -5 0 0 5 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.611053176346 0.522642853966 10 7 11 8 0213 0132 0213 3012 0 1 1 0 0 0 0 0 -1 0 0 1 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 4 0 0 -4 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.305333678279 0.708741520224 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_1'], 'c_1001_12' : d['c_1001_11'], 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : d['c_0101_2'], 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_1001_11'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0101_7']), 'c_1010_12' : negation(d['c_0101_8']), 'c_1010_11' : d['c_0101_7'], 'c_1010_10' : negation(d['c_0011_10']), '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'], 'c_0101_12' : d['c_0011_10'], 'c_0101_11' : d['c_0101_11'], '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' : 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' : 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_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_2'], 'c_1100_7' : negation(d['c_0011_0']), 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : negation(d['c_0011_0']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_7'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : d['c_0101_8'], 'c_1100_8' : negation(d['c_0110_10']), 's_3_1' : 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' : negation(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' : d['c_0101_7'], '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' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_12'], 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0110_10'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0110_10']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : negation(d['c_0101_11']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_12'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0110_10']), 'c_0110_8' : d['c_0011_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_11'], 's_2_9' : d['1']})} 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_2, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_7, c_0101_8, c_0110_10, c_1001_1, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 36054944469735/24948428992*c_1001_11^8 - 55799599503135/12474214496*c_1001_11^7 + 145575635884685/24948428992*c_1001_11^6 - 138497615834217/24948428992*c_1001_11^5 + 113700103916909/24948428992*c_1001_11^4 - 12948447540839/6237107248*c_1001_11^3 + 14218981332597/24948428992*c_1001_11^2 - 1128353490009/12474214496*c_1001_11 + 569198148905/24948428992, c_0011_0 - 1, c_0011_10 + 134565047/4373848*c_1001_11^8 - 166134863/2186924*c_1001_11^7 + 851226095/13121544*c_1001_11^6 - 510315587/13121544*c_1001_11^5 + 247334383/13121544*c_1001_11^4 + 68852909/3280386*c_1001_11^3 - 82672571/4373848*c_1001_11^2 + 48811457/6560772*c_1001_11 - 14965645/13121544, c_0011_12 - 1, c_0011_2 - 737411907/33897322*c_1001_11^8 + 753541458/16948661*c_1001_11^7 - 843600931/33897322*c_1001_11^6 + 513121809/33897322*c_1001_11^5 - 255348687/33897322*c_1001_11^4 - 304499898/16948661*c_1001_11^3 + 146884133/33897322*c_1001_11^2 - 32196382/16948661*c_1001_11 + 7633591/33897322, c_0101_0 + 207745644/16948661*c_1001_11^8 - 265554903/16948661*c_1001_11^7 - 71772371/16948661*c_1001_11^6 + 18076170/16948661*c_1001_11^5 - 22737950/16948661*c_1001_11^4 + 253975494/16948661*c_1001_11^3 + 68213873/16948661*c_1001_11^2 - 4654799/16948661*c_1001_11 + 31978255/16948661, c_0101_1 + 737411907/33897322*c_1001_11^8 - 753541458/16948661*c_1001_11^7 + 843600931/33897322*c_1001_11^6 - 513121809/33897322*c_1001_11^5 + 255348687/33897322*c_1001_11^4 + 304499898/16948661*c_1001_11^3 - 146884133/33897322*c_1001_11^2 + 15247721/16948661*c_1001_11 - 7633591/33897322, c_0101_11 + 134565047/4373848*c_1001_11^8 - 166134863/2186924*c_1001_11^7 + 851226095/13121544*c_1001_11^6 - 510315587/13121544*c_1001_11^5 + 247334383/13121544*c_1001_11^4 + 68852909/3280386*c_1001_11^3 - 82672571/4373848*c_1001_11^2 + 48811457/6560772*c_1001_11 - 14965645/13121544, c_0101_2 + 100149465/2186924*c_1001_11^8 - 118132629/1093462*c_1001_11^7 + 179505067/2186924*c_1001_11^6 - 105858927/2186924*c_1001_11^5 + 56866171/2186924*c_1001_11^4 + 17833280/546731*c_1001_11^3 - 51913201/2186924*c_1001_11^2 + 8516259/1093462*c_1001_11 - 3321189/2186924, c_0101_7 + 1, c_0101_8 + 106127821/2186924*c_1001_11^8 - 130897537/1093462*c_1001_11^7 + 632293045/6560772*c_1001_11^6 - 332118685/6560772*c_1001_11^5 + 164442497/6560772*c_1001_11^4 + 57309196/1640193*c_1001_11^3 - 68326665/2186924*c_1001_11^2 + 27188749/3280386*c_1001_11 - 1085951/6560772, c_0110_10 - 116844757/1093462*c_1001_11^8 + 137738414/546731*c_1001_11^7 - 621618517/3280386*c_1001_11^6 + 109162503/1093462*c_1001_11^5 - 157345211/3280386*c_1001_11^4 - 42796540/546731*c_1001_11^3 + 61639285/1093462*c_1001_11^2 - 24127699/1640193*c_1001_11 - 674629/1093462, c_1001_1 - c_1001_11, c_1001_11^9 - 45/17*c_1001_11^8 + 131/51*c_1001_11^7 - 88/51*c_1001_11^6 + 16/17*c_1001_11^5 + 25/51*c_1001_11^4 - 35/51*c_1001_11^3 + 19/51*c_1001_11^2 - 5/51*c_1001_11 + 1/51 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.340 seconds, Total memory usage: 32.09MB