Magma V2.19-8 Tue Aug 20 2013 23:55:14 on localhost [Seed = 660688759] Type ? for help. Type -D to quit. Loading file "L13n9868__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9868 geometric_solution 11.16470021 oriented_manifold CS_known 0.0000000000000005 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 2 0 0 2 -1 -1 -2 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 3 -2 -1 -3 0 3 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 0.562580632100 0.955016431503 0 5 7 6 0132 0132 0132 0132 2 0 0 2 0 0 0 0 2 0 -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 3 0 -3 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.139821634527 0.877858521456 4 0 7 7 1302 0132 3012 1230 0 2 0 2 0 -2 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 -3 0 3 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 0.462655233402 0.533786796431 8 9 10 0 0132 0132 0132 0132 0 0 0 2 0 -1 0 1 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 0 -2 0 2 3 0 0 -3 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.954782450590 0.902160904534 9 2 0 5 0321 2031 0132 3120 0 0 2 2 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 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.856926084924 0.757693710966 4 1 11 9 3120 0132 0132 1023 2 0 2 0 0 0 0 0 0 0 -1 1 0 0 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 -2 2 0 0 0 0 1 2 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.022453301323 1.107668682312 8 10 1 11 2103 2031 0132 0132 2 0 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 0 0 0 -1 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.096550348100 0.946467895097 2 2 9 1 3012 1230 1023 0132 2 0 2 0 0 0 0 0 -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 -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 0.611434002346 1.209620636268 3 10 6 11 0132 3120 2103 3201 1 0 2 0 0 0 -1 1 -2 0 0 2 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 -3 0 0 3 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.096550348100 0.946467895097 4 3 7 5 0321 0132 1023 1023 0 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 2 0 -2 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 0.536347046518 0.412646026937 6 8 11 3 1302 3120 2103 0132 0 0 2 1 0 0 0 0 -1 0 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 0 0 0 0 0 -2 0 2 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 0.096550348100 0.946467895097 10 8 6 5 2103 2310 0132 0132 2 0 0 1 0 0 0 0 -1 0 0 1 0 -2 0 2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -2 0 0 2 0 -3 0 3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.527708905689 0.552836050289 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_11'], 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0011_11'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_0101_7'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_0101_7'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0101_3']), 'c_1010_10' : d['c_0011_3'], 's_3_11' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0011_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' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : d['c_0101_1'], 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_1100_1']), 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : negation(d['c_0101_5']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0101_7'], 'c_1010_2' : d['c_0101_7'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : negation(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_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_11']), '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_5'], 'c_0110_10' : d['c_0101_3'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_1']), 'c_0101_8' : d['c_0101_0'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_4']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_7'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0011_11'])})} 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_4, c_0011_7, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_7, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 6083443795/3793408*c_1100_1^6 + 111597208577/30347264*c_1100_1^5 - 496411218869/30347264*c_1100_1^4 - 75021329151/30347264*c_1100_1^3 + 25705794029/15173632*c_1100_1^2 + 2142525357/489472*c_1100_1 - 7053347605/30347264, c_0011_0 - 1, c_0011_10 + 20417/15296*c_1100_1^6 - 421915/122368*c_1100_1^5 + 1782839/122368*c_1100_1^4 - 263067/122368*c_1100_1^3 - 90543/61184*c_1100_1^2 - 283313/61184*c_1100_1 + 94935/122368, c_0011_11 + 1, c_0011_3 - c_1100_1, c_0011_4 + 4235/15296*c_1100_1^6 - 104681/122368*c_1100_1^5 + 425245/122368*c_1100_1^4 - 275305/122368*c_1100_1^3 - 22341/61184*c_1100_1^2 - 3291/61184*c_1100_1 + 58877/122368, c_0011_7 - 12593/30592*c_1100_1^6 + 119531/244736*c_1100_1^5 - 757319/244736*c_1100_1^4 - 1315221/244736*c_1100_1^3 + 73663/122368*c_1100_1^2 + 156577/122368*c_1100_1 + 106777/244736, c_0101_0 - 1, c_0101_1 - 23465/30592*c_1100_1^6 + 436115/244736*c_1100_1^5 - 1954319/244736*c_1100_1^4 - 186605/244736*c_1100_1^3 - 61753/122368*c_1100_1^2 + 200089/122368*c_1100_1 + 28241/244736, c_0101_3 + 20417/15296*c_1100_1^6 - 421915/122368*c_1100_1^5 + 1782839/122368*c_1100_1^4 - 263067/122368*c_1100_1^3 - 90543/61184*c_1100_1^2 - 222129/61184*c_1100_1 + 94935/122368, c_0101_5 - 204725/237088*c_1100_1^6 + 3142103/1896704*c_1100_1^5 - 15270435/1896704*c_1100_1^4 - 9146025/1896704*c_1100_1^3 + 894651/948352*c_1100_1^2 + 43067/30592*c_1100_1 + 730045/1896704, c_0101_7 - 838205/948352*c_1100_1^6 + 15009839/7586816*c_1100_1^5 - 67939547/7586816*c_1100_1^4 - 14907985/7586816*c_1100_1^3 + 3081715/3793408*c_1100_1^2 + 47731/122368*c_1100_1 - 579835/7586816, c_1100_1^7 - 19/8*c_1100_1^6 + 21/2*c_1100_1^5 + 1/2*c_1100_1^4 - 1/8*c_1100_1^3 - 2*c_1100_1^2 + 5/8*c_1100_1 - 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB