Magma V2.19-8 Tue Aug 20 2013 23:48:58 on localhost [Seed = 2362107422] Type ? for help. Type -D to quit. Loading file "K11n128__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n128 geometric_solution 12.26192867 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 -1 1 0 0 0 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 6 -5 0 0 0 0 0 6 0 -6 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.392129892758 0.966652421339 0 5 7 6 0132 0132 0132 0132 0 0 0 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 5 0 0 -5 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.725868409809 0.680410770076 8 0 5 7 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -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 1 -1 0 -5 0 5 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.459111859305 0.703885505745 9 10 4 0 0132 0132 3201 0132 0 0 0 0 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 0 0 0 0 6 -6 0 0 0 0 5 -5 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.890849574364 1.067290750934 3 7 0 10 2310 0132 0132 0132 0 0 0 0 0 0 -1 1 0 0 0 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 0 5 -5 0 0 0 0 0 -5 0 5 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329430527768 0.727363928769 11 1 8 2 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 1 0 0 -1 -5 5 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.225075548581 0.659836422642 11 8 1 12 1023 0132 0132 0132 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 1 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.692035536834 0.480794228670 10 4 2 1 3201 0132 0132 0132 0 0 0 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 -1 0 1 0 5 0 0 -5 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.526864334467 0.682271811642 2 6 12 5 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 -6 5 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.964637648300 0.942273441385 3 11 11 12 0132 1302 1023 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 -1 0 1 0 0 0 0 1 0 0 -1 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.607547581854 0.847756633655 12 3 4 7 0213 0132 0132 2310 0 0 0 0 0 0 -1 1 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 5 -5 0 0 0 0 0 -1 0 1 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.658516964469 1.067899242461 5 6 9 9 0132 1023 1023 2031 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 -1 0 0 1 -1 1 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.441492387971 0.779327491684 10 9 6 8 0213 0321 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.261045897823 1.052003329287 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_0'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_1001_12'], 'c_1010_12' : d['c_1001_12'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0101_1']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : 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_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_1100_9' : d['c_1001_12'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0011_4']), '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_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_1100_1'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_12']), 'c_1100_10' : negation(d['c_0011_4']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_12'], 'c_1010_8' : d['c_1001_5'], 'c_1100_8' : d['c_1100_1'], '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' : d['c_1100_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' : 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_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : negation(d['c_0011_0']), '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' : d['c_0101_11'], 'c_0110_10' : negation(d['c_0101_7']), 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0011_10'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_12']), 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_12']), 'c_0110_8' : d['c_0101_11'], '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_11'], 'c_0110_4' : d['c_0011_12'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_10']})} 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_0101_0, c_0101_1, c_0101_11, c_0101_7, c_1001_0, c_1001_1, c_1001_12, c_1001_5, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 3050361041157/31901902*c_1100_1^10 - 2487092489503/15950951*c_1100_1^9 - 837052880231/15950951*c_1100_1^8 + 3385238540429/15950951*c_1100_1^7 + 3474816642685/31901902*c_1100_1^6 - 3609313531699/31901902*c_1100_1^5 - 112402694796/15950951*c_1100_1^4 - 1199485465729/31901902*c_1100_1^3 - 149215788095/15950951*c_1100_1^2 + 95871301867/31901902*c_1100_1 + 208277923039/15950951, c_0011_0 - 1, c_0011_10 - 3005820/146339*c_1100_1^10 + 5164133/146339*c_1100_1^9 + 737571/146339*c_1100_1^8 - 6109551/146339*c_1100_1^7 - 2435925/146339*c_1100_1^6 + 2831237/146339*c_1100_1^5 - 821523/146339*c_1100_1^4 + 1651986/146339*c_1100_1^3 + 181946/146339*c_1100_1^2 + 153170/146339*c_1100_1 - 308471/146339, c_0011_12 - 2059137/146339*c_1100_1^10 + 3324823/146339*c_1100_1^9 + 1125561/146339*c_1100_1^8 - 4318552/146339*c_1100_1^7 - 2588077/146339*c_1100_1^6 + 2120958/146339*c_1100_1^5 + 535429/146339*c_1100_1^4 + 1094483/146339*c_1100_1^3 - 170324/146339*c_1100_1^2 - 57495/146339*c_1100_1 - 129610/146339, c_0011_4 + 4777515/146339*c_1100_1^10 - 8077119/146339*c_1100_1^9 - 2455424/146339*c_1100_1^8 + 10848819/146339*c_1100_1^7 + 5404619/146339*c_1100_1^6 - 6218430/146339*c_1100_1^5 - 977224/146339*c_1100_1^4 - 2331232/146339*c_1100_1^3 - 334675/146339*c_1100_1^2 + 427027/146339*c_1100_1 + 862866/146339, c_0101_0 - 10761534/146339*c_1100_1^10 + 18383749/146339*c_1100_1^9 + 4730200/146339*c_1100_1^8 - 24297975/146339*c_1100_1^7 - 10703826/146339*c_1100_1^6 + 13504142/146339*c_1100_1^5 + 369924/146339*c_1100_1^4 + 4983431/146339*c_1100_1^3 + 925393/146339*c_1100_1^2 - 555113/146339*c_1100_1 - 1530290/146339, c_0101_1 + 4063050/146339*c_1100_1^10 - 6676339/146339*c_1100_1^9 - 2725314/146339*c_1100_1^8 + 9836722/146339*c_1100_1^7 + 5023287/146339*c_1100_1^6 - 6132709/146339*c_1100_1^5 - 1015778/146339*c_1100_1^4 - 1156827/146339*c_1100_1^3 - 424512/146339*c_1100_1^2 + 227784/146339*c_1100_1 + 682774/146339, c_0101_11 + 1819476/146339*c_1100_1^10 - 2272362/146339*c_1100_1^9 - 2128940/146339*c_1100_1^8 + 3785425/146339*c_1100_1^7 + 3495019/146339*c_1100_1^6 - 1519781/146339*c_1100_1^5 - 815925/146339*c_1100_1^4 - 482722/146339*c_1100_1^3 - 381704/146339*c_1100_1^2 - 68074/146339*c_1100_1 + 201044/146339, c_0101_7 - 8277993/146339*c_1100_1^10 + 14372008/146339*c_1100_1^9 + 3337020/146339*c_1100_1^8 - 18800760/146339*c_1100_1^7 - 8040968/146339*c_1100_1^6 + 10849188/146339*c_1100_1^5 + 456558/146339*c_1100_1^4 + 3620155/146339*c_1100_1^3 + 382808/146339*c_1100_1^2 - 255179/146339*c_1100_1 - 1196846/146339, c_1001_0 - 7101729/146339*c_1100_1^10 + 12466158/146339*c_1100_1^9 + 2772817/146339*c_1100_1^8 - 16541570/146339*c_1100_1^7 - 6503784/146339*c_1100_1^6 + 9854662/146339*c_1100_1^5 + 218061/146339*c_1100_1^4 + 2685268/146339*c_1100_1^3 + 444619/146339*c_1100_1^2 - 306522/146339*c_1100_1 - 1011154/146339, c_1001_1 + 5272173/146339*c_1100_1^10 - 9207875/146339*c_1100_1^9 - 2599449/146339*c_1100_1^8 + 12691209/146339*c_1100_1^7 + 5605043/146339*c_1100_1^6 - 8017951/146339*c_1100_1^5 - 1278081/146339*c_1100_1^4 - 1968169/146339*c_1100_1^3 - 200862/146339*c_1100_1^2 + 408349/146339*c_1100_1 + 888375/146339, c_1001_12 + 4777515/146339*c_1100_1^10 - 8077119/146339*c_1100_1^9 - 2455424/146339*c_1100_1^8 + 10848819/146339*c_1100_1^7 + 5404619/146339*c_1100_1^6 - 6218430/146339*c_1100_1^5 - 977224/146339*c_1100_1^4 - 2331232/146339*c_1100_1^3 - 334675/146339*c_1100_1^2 + 280688/146339*c_1100_1 + 862866/146339, c_1001_5 - 2766159/146339*c_1100_1^10 + 4111672/146339*c_1100_1^9 + 1740950/146339*c_1100_1^8 - 5576424/146339*c_1100_1^7 - 3342867/146339*c_1100_1^6 + 2230060/146339*c_1100_1^5 - 541027/146339*c_1100_1^4 + 1040225/146339*c_1100_1^3 + 733974/146339*c_1100_1^2 + 132400/146339*c_1100_1 - 233566/146339, c_1100_1^11 - 22/9*c_1100_1^10 + 7/9*c_1100_1^9 + 8/3*c_1100_1^8 - 2/3*c_1100_1^7 - 19/9*c_1100_1^6 + 8/9*c_1100_1^5 - 1/3*c_1100_1^4 + 2/9*c_1100_1^3 + 1/9*c_1100_1^2 + 1/9*c_1100_1 - 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 9.650 Total time: 9.859 seconds, Total memory usage: 64.12MB