Magma V2.19-8 Tue Aug 20 2013 23:59:24 on localhost [Seed = 2277633790] Type ? for help. Type -D to quit. Loading file "L14n43313__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n43313 geometric_solution 11.16470021 oriented_manifold CS_known -0.0000000000000003 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 1 2 1 0 -1 -1 2 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 0 1 -1 -1 0 -3 4 1 -1 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.893329082890 1.045678243232 0 4 6 5 0132 1023 0132 0132 1 1 1 2 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 1 0 -1 0 -4 3 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.055417811377 1.105672100578 7 0 3 4 0132 0132 0213 0213 0 1 1 2 0 1 1 -2 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 -1 1 0 0 0 0 0 4 0 -4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.477391225295 0.451080452267 8 2 4 0 0132 0213 0213 0132 0 1 1 2 0 -1 0 1 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 -1 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 0.527708905689 0.552836050289 1 3 0 2 1023 0213 0132 0213 0 1 1 2 0 0 -2 2 0 0 1 -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 0 0 -4 4 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.477391225295 0.451080452267 9 7 1 10 0132 3201 0132 0132 1 1 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 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.542078794413 0.777350393376 8 9 11 1 1302 2103 0132 0132 1 1 2 2 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 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 -0.171204328358 0.901082267472 2 8 5 11 0132 0321 2310 3120 2 1 2 1 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 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 0.569449995661 0.581154503880 3 6 9 7 0132 2031 0132 0321 2 1 2 1 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 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 -0.022453301323 1.107668682312 5 6 10 8 0132 2103 3012 0132 2 1 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 -1 1 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 0.240634303751 1.274355975358 11 9 5 11 1023 1230 0132 0132 1 1 2 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 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.936682903775 0.930480759389 7 10 10 6 3120 1023 0132 0132 1 1 2 2 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 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.240722509059 0.749378268634 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_1001_10']), 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_0101_1']), 'c_1010_11' : negation(d['c_0011_5']), 'c_1010_10' : d['c_0101_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_5']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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_1100_9' : negation(d['c_1001_10']), 'c_1100_8' : negation(d['c_1001_10']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1001_0'], 'c_1100_7' : d['c_0011_5'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_1001_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_7']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_1']), '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' : negation(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'], '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' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_10']), '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_0011_3'], 'c_0110_10' : negation(d['c_0011_5']), 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : negation(d['c_0011_0']), '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_0101_7'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0101_7']), 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : d['c_0101_1']})} 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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_7, c_1001_0, c_1001_10, c_1001_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 163107989/36087472*c_1100_1^6 - 23311014599/288699776*c_1100_1^5 - 2759837781/18043736*c_1100_1^4 + 65902459/36087472*c_1100_1^3 + 116537127837/288699776*c_1100_1^2 + 150606753771/288699776*c_1100_1 + 80038607793/288699776, c_0011_0 - 1, c_0011_10 - 1737/2347*c_1100_1^6 - 4979/18776*c_1100_1^5 + 13523/9388*c_1100_1^4 + 5623/2347*c_1100_1^3 - 8121/18776*c_1100_1^2 - 18229/18776*c_1100_1 - 10869/18776, c_0011_3 - 514/2347*c_1100_1^6 - 7979/9388*c_1100_1^5 - 1554/2347*c_1100_1^4 + 3134/2347*c_1100_1^3 + 34121/9388*c_1100_1^2 + 20881/9388*c_1100_1 + 3929/9388, c_0011_5 + 1196/2347*c_1100_1^6 + 3073/4694*c_1100_1^5 + 3515/4694*c_1100_1^4 - 3265/2347*c_1100_1^3 - 8383/2347*c_1100_1^2 - 10060/2347*c_1100_1 - 1523/2347, c_0101_0 - 1, c_0101_1 - 514/2347*c_1100_1^6 - 7979/9388*c_1100_1^5 - 1554/2347*c_1100_1^4 + 3134/2347*c_1100_1^3 + 34121/9388*c_1100_1^2 + 20881/9388*c_1100_1 + 3929/9388, c_0101_10 - 5374/2347*c_1100_1^6 - 54053/9388*c_1100_1^5 - 4267/4694*c_1100_1^4 + 30091/2347*c_1100_1^3 + 165623/9388*c_1100_1^2 + 85149/9388*c_1100_1 + 10175/9388, c_0101_7 - 1028/2347*c_1100_1^6 - 7979/4694*c_1100_1^5 - 3108/2347*c_1100_1^4 + 6268/2347*c_1100_1^3 + 34121/4694*c_1100_1^2 + 25575/4694*c_1100_1 + 8623/4694, c_1001_0 - 1, c_1001_10 - 4326/2347*c_1100_1^6 - 38369/9388*c_1100_1^5 - 8487/4694*c_1100_1^4 + 43667/4694*c_1100_1^3 + 140071/9388*c_1100_1^2 + 95761/9388*c_1100_1 + 7333/9388, c_1001_2 + 514/2347*c_1100_1^6 + 7979/9388*c_1100_1^5 + 1554/2347*c_1100_1^4 - 3134/2347*c_1100_1^3 - 34121/9388*c_1100_1^2 - 20881/9388*c_1100_1 + 5459/9388, c_1100_1^7 + 19/8*c_1100_1^6 + 7/8*c_1100_1^5 - 5*c_1100_1^4 - 65/8*c_1100_1^3 - 11/2*c_1100_1^2 - c_1100_1 - 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB