Magma V2.19-8 Tue Aug 20 2013 18:14:38 on localhost [Seed = 1831654772] Type ? for help. Type -D to quit. Loading file "11_316__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_316 geometric_solution 13.04893247 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 14 1 2 3 4 0132 0132 0132 0132 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 -1 1 0 0 0 0 0 0 1 0 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.118787807315 0.585860739849 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 0 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 -3 3 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.731573184679 0.732362563834 8 0 5 9 0132 0132 1230 0132 0 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 -1 0 0 0 0 0 0 2 0 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.166621731744 0.947072874216 5 8 10 0 0132 0132 0132 0132 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 1 -1 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.166741670753 0.738010081756 11 9 0 6 0132 0321 0132 2103 0 0 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 0 0 0 2 0 0 -2 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.324952615045 1.368084370334 3 1 10 2 0132 0132 2103 3012 0 0 0 0 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 0 0 -1 1 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.867110449052 1.025604533878 10 12 1 4 2103 0132 0132 2103 0 0 0 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 0 0 0 1 0 -3 2 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.591242615805 0.554655391932 11 8 13 1 3120 2310 0132 0132 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 1 0 0 0 -3 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 0.572421523828 0.733617126036 2 3 13 7 0132 0132 3201 3201 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 -1 0 0 1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.356670972503 0.996445341370 11 13 2 4 2031 3201 0132 0321 0 0 0 0 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 0 0 0 0 1 -1 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.211271453501 0.868460310848 5 12 6 3 2103 1302 2103 0132 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 1 0 -1 1 0 -1 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 0.352192907003 1.319755872030 4 12 9 7 0132 3012 1302 3120 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 0 0 0 0 0 0 0 0 -2 0 2 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 0.948147182242 0.874042589781 11 6 13 10 1230 0132 0213 2031 0 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 0 0 0 1 0 0 -1 -1 -2 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.885324545856 1.140318643244 8 12 9 7 2310 0213 2310 0132 0 0 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 0 1 -1 -3 0 0 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 0.401468203170 0.936521972313 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_0011_11'], 'c_1001_13' : d['c_1001_12'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : negation(d['c_1001_3']), 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_13']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_3'], 'c_1001_9' : negation(d['c_0101_13']), 'c_1001_8' : negation(d['c_0101_13']), 'c_1010_13' : negation(d['c_1001_3']), 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : negation(d['c_0011_13']), 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_3_13' : d['1'], 's_0_13' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_9']), 'c_0101_10' : d['c_0101_0'], '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_13' : 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_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0110_6']), 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : d['c_0011_9'], 'c_1100_0' : negation(d['c_0110_6']), 'c_1100_3' : negation(d['c_0110_6']), 'c_1100_2' : d['c_0101_3'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_7']), 'c_1100_10' : negation(d['c_0110_6']), 'c_1100_13' : d['c_0011_9'], 's_0_11' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : negation(d['c_0101_2']), 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_1001_12']), 'c_1010_3' : negation(d['c_0101_13']), 'c_1010_2' : negation(d['c_0101_13']), 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_0101_3'], 'c_1010_9' : negation(d['c_1001_12']), 'c_1010_8' : d['c_1001_3'], 'c_1100_8' : negation(d['c_0011_13']), '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' : 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' : 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_0101_13' : d['c_0101_13'], 'c_0011_6' : d['c_0011_11'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_3'], 'c_0110_13' : d['c_0101_7'], 'c_0110_12' : d['c_0011_11'], 'c_0101_12' : d['c_0011_13'], 'c_0011_7' : d['c_0011_13'], 'c_0110_0' : d['c_0101_1'], 's_3_12' : d['1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_7']), 'c_0101_8' : negation(d['c_0101_7']), 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_7']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0011_9']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_9, c_0101_0, c_0101_1, c_0101_13, c_0101_2, c_0101_3, c_0101_7, c_0110_6, c_1001_12, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 104693592231502/751825330389*c_1001_3^6 - 309118328971210/250608443463*c_1001_3^5 - 4453435355029457/751825330389*c_1001_3^4 - 708226848288/209363779*c_1001_3^3 + 401206423674457/250608443463*c_1001_3^2 - 8489843238182813/751825330389*c_1001_3 - 1485843884991776/751825330389, c_0011_0 - 1, c_0011_10 + 549989/9102773*c_1001_3^6 - 4718314/9102773*c_1001_3^5 - 24925070/9102773*c_1001_3^4 - 18078194/9102773*c_1001_3^3 + 6110613/9102773*c_1001_3^2 - 42831719/9102773*c_1001_3 - 27672941/9102773, c_0011_11 - 308741/9102773*c_1001_3^6 + 2669288/9102773*c_1001_3^5 + 13836769/9102773*c_1001_3^4 + 9023835/9102773*c_1001_3^3 - 5648734/9102773*c_1001_3^2 + 20802801/9102773*c_1001_3 + 12707940/9102773, c_0011_13 + 14554/9102773*c_1001_3^6 - 141574/9102773*c_1001_3^5 - 329271/9102773*c_1001_3^4 - 1904659/9102773*c_1001_3^3 - 1239856/9102773*c_1001_3^2 + 8214976/9102773*c_1001_3 + 2756971/9102773, c_0011_9 + 323295/9102773*c_1001_3^6 - 2810862/9102773*c_1001_3^5 - 14166040/9102773*c_1001_3^4 - 10928494/9102773*c_1001_3^3 + 4408878/9102773*c_1001_3^2 - 21690598/9102773*c_1001_3 - 9950969/9102773, c_0101_0 - 614363/9102773*c_1001_3^6 + 5078071/9102773*c_1001_3^5 + 29546241/9102773*c_1001_3^4 + 28419091/9102773*c_1001_3^3 - 2795643/9102773*c_1001_3^2 + 48790002/9102773*c_1001_3 + 30185333/9102773, c_0101_1 - 373115/9102773*c_1001_3^6 + 3029045/9102773*c_1001_3^5 + 18457940/9102773*c_1001_3^4 + 19364732/9102773*c_1001_3^3 - 2333764/9102773*c_1001_3^2 + 26761084/9102773*c_1001_3 + 24323105/9102773, c_0101_13 - 425591/9102773*c_1001_3^6 + 3734645/9102773*c_1001_3^5 + 18096552/9102773*c_1001_3^4 + 15213037/9102773*c_1001_3^3 + 3212440/9102773*c_1001_3^2 + 30141009/9102773*c_1001_3 + 17073230/9102773, c_0101_2 + 241248/9102773*c_1001_3^6 - 2049026/9102773*c_1001_3^5 - 11088301/9102773*c_1001_3^4 - 9054359/9102773*c_1001_3^3 + 461879/9102773*c_1001_3^2 - 22028918/9102773*c_1001_3 - 5862228/9102773, c_0101_3 + 564543/9102773*c_1001_3^6 - 4859888/9102773*c_1001_3^5 - 25254341/9102773*c_1001_3^4 - 19982853/9102773*c_1001_3^3 + 4870757/9102773*c_1001_3^2 - 43719516/9102773*c_1001_3 - 24915970/9102773, c_0101_7 - 323295/9102773*c_1001_3^6 + 2810862/9102773*c_1001_3^5 + 14166040/9102773*c_1001_3^4 + 10928494/9102773*c_1001_3^3 - 4408878/9102773*c_1001_3^2 + 21690598/9102773*c_1001_3 + 19053742/9102773, c_0110_6 - 117313/9102773*c_1001_3^6 + 838445/9102773*c_1001_3^5 + 7040368/9102773*c_1001_3^4 + 8405714/9102773*c_1001_3^3 - 3111741/9102773*c_1001_3^2 + 12947142/9102773*c_1001_3 + 12115075/9102773, c_1001_12 + 205055/9102773*c_1001_3^6 - 1620654/9102773*c_1001_3^5 - 10641609/9102773*c_1001_3^4 - 10785598/9102773*c_1001_3^3 - 3269721/9102773*c_1001_3^2 - 20509756/9102773*c_1001_3 - 12891534/9102773, c_1001_3^7 - 8*c_1001_3^6 - 50*c_1001_3^5 - 62*c_1001_3^4 - 15*c_1001_3^3 - 74*c_1001_3^2 - 82*c_1001_3 - 23 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 13.140 Total time: 13.359 seconds, Total memory usage: 191.12MB