Magma V2.19-8 Wed Aug 21 2013 00:58:14 on localhost [Seed = 1798140410] Type ? for help. Type -D to quit. Loading file "L13n4850__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4850 geometric_solution 12.57952659 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 0321 0132 0 1 1 1 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 1 0 -1 -3 0 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 0.159914257512 0.875181303161 0 4 6 5 0132 0132 0132 0132 1 1 1 1 0 0 -1 1 -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 3 -3 3 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 0.332368403252 0.828130754879 7 0 0 8 0132 0132 0321 0132 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 0 0 0 0 0 0 0 -1 0 1 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 0.159914257512 0.875181303161 9 5 0 5 0132 2031 0132 2103 0 1 1 1 0 0 0 0 -1 0 1 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 1 -1 2 0 -2 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 0.599370768218 0.839518892871 7 1 10 8 1023 0132 0132 3120 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 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 0.089302872171 1.049536006803 3 11 1 3 1302 0132 0132 2103 1 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 0 0 0 0 -1 3 -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 0.436701350361 0.788993864526 10 12 9 1 0321 0132 3120 0132 1 1 1 1 0 -1 0 1 1 0 0 -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 3 0 -3 -3 0 0 3 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.300733961462 1.632234477036 2 4 10 9 0132 1023 3120 0321 1 1 1 1 0 0 -1 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 0 3 -3 0 0 -2 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 0.909108656977 0.990078519112 4 11 2 11 3120 3201 0132 3120 0 1 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 0 0 0 -1 -1 2 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 0.674415417415 1.327487228024 3 7 6 12 0132 0321 3120 0213 1 1 1 1 0 -1 0 1 1 0 0 -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 3 0 -3 -2 0 0 2 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.004955338364 1.204385990500 6 12 7 4 0321 3012 3120 0132 1 1 1 1 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 -2 0 2 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 0.477272762685 0.816964607208 8 5 8 12 3120 0132 2310 3012 1 1 1 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 -1 0 0 0 0 0 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.674415417415 1.327487228024 10 6 11 9 1230 0132 1230 0213 1 1 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 0 0 0 -3 0 3 0 0 0 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 0.574463249440 0.911227229400 ==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' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0011_8']), 'c_1001_5' : negation(d['c_0101_12']), 'c_1001_4' : negation(d['c_0101_12']), 'c_1001_7' : d['c_0011_12'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : negation(d['c_0101_11']), 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : negation(d['c_0110_5']), 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : negation(d['c_0101_12']), 's_3_11' : 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_0101_12'], 'c_0101_11' : d['c_0101_11'], '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' : negation(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' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(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_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_9']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : negation(d['c_0101_11']), 's_0_10' : d['1'], 'c_1100_9' : d['c_0101_10'], 'c_1100_11' : d['c_0011_8'], 'c_1100_10' : negation(d['c_0101_7']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_11'], 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : negation(d['c_0011_8']), 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : negation(d['c_0101_11']), 'c_1010_1' : negation(d['c_0101_12']), 'c_1010_0' : negation(d['c_0110_5']), 'c_1010_9' : d['c_0110_11'], 'c_1010_8' : negation(d['c_0011_11']), 'c_1100_8' : negation(d['c_0101_11']), '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' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0110_11'], '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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_12']), '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_0110_11'], 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0011_12'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_10']), 'c_0101_0' : negation(d['c_0011_3']), 'c_0101_9' : d['c_0101_9'], '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_10']), 'c_0110_8' : d['c_0110_11'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_9'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0110_11'], 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : negation(d['c_0011_10']), '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_11, c_0011_12, c_0011_3, c_0011_8, c_0101_10, c_0101_11, c_0101_12, c_0101_7, c_0101_9, c_0110_11, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 483069033679/1162585515*c_0110_5^11 + 271519114574/232517103*c_0110_5^10 + 12822708037/23726235*c_0110_5^9 - 2329160986487/1162585515*c_0110_5^8 - 1328795943086/1162585515*c_0110_5^7 + 1756392656309/1162585515*c_0110_5^6 + 408687458337/387528505*c_0110_5^5 + 1016699283706/1162585515*c_0110_5^4 + 659206725797/387528505*c_0110_5^3 + 290223982739/1162585515*c_0110_5^2 - 237978127715/232517103*c_0110_5 - 181842228943/387528505, c_0011_0 - 1, c_0011_10 + 19991/7319*c_0110_5^11 + 28554/7319*c_0110_5^10 - 33197/7319*c_0110_5^9 - 94044/7319*c_0110_5^8 + 71895/7319*c_0110_5^7 + 60009/7319*c_0110_5^6 - 35065/7319*c_0110_5^5 + 36338/7319*c_0110_5^4 + 17298/7319*c_0110_5^3 - 65634/7319*c_0110_5^2 - 10832/7319*c_0110_5 + 19964/7319, c_0011_11 + 6/13*c_0110_5^11 + 14/13*c_0110_5^10 - 10/13*c_0110_5^9 - 48/13*c_0110_5^8 + 3/13*c_0110_5^7 + 63/13*c_0110_5^6 - 18/13*c_0110_5^5 + 7/13*c_0110_5^4 + 10/13*c_0110_5^3 - 45/13*c_0110_5^2 - 20/13*c_0110_5 + 8/13, c_0011_12 - 18523/7319*c_0110_5^11 - 19244/7319*c_0110_5^10 + 44851/7319*c_0110_5^9 + 83288/7319*c_0110_5^8 - 102192/7319*c_0110_5^7 - 48365/7319*c_0110_5^6 + 57324/7319*c_0110_5^5 - 31098/7319*c_0110_5^4 - 7684/7319*c_0110_5^3 + 79142/7319*c_0110_5^2 - 2806/7319*c_0110_5 - 31245/7319, c_0011_3 - 19964/7319*c_0110_5^11 - 19937/7319*c_0110_5^10 + 48518/7319*c_0110_5^9 + 86587/7319*c_0110_5^8 - 114008/7319*c_0110_5^7 - 47889/7319*c_0110_5^6 + 60009/7319*c_0110_5^5 - 35065/7319*c_0110_5^4 - 3590/7319*c_0110_5^3 + 77190/7319*c_0110_5^2 - 5742/7319*c_0110_5 - 38115/7319, c_0011_8 - 2403/7319*c_0110_5^11 - 5737/7319*c_0110_5^10 + 5084/7319*c_0110_5^9 + 19601/7319*c_0110_5^8 - 6590/7319*c_0110_5^7 - 32063/7319*c_0110_5^6 + 19598/7319*c_0110_5^5 + 3807/7319*c_0110_5^4 - 12377/7319*c_0110_5^3 + 18133/7319*c_0110_5^2 + 3967/7319*c_0110_5 - 16698/7319, c_0101_10 - 15299/7319*c_0110_5^11 - 28253/7319*c_0110_5^10 + 19332/7319*c_0110_5^9 + 82261/7319*c_0110_5^8 - 36230/7319*c_0110_5^7 - 78772/7319*c_0110_5^6 + 33677/7319*c_0110_5^5 - 24117/7319*c_0110_5^4 - 27652/7319*c_0110_5^3 + 53766/7319*c_0110_5^2 + 24897/7319*c_0110_5 - 25408/7319, c_0101_11 + 1, c_0101_12 + 18387/7319*c_0110_5^11 + 34934/7319*c_0110_5^10 - 10612/7319*c_0110_5^9 - 86659/7319*c_0110_5^8 + 18846/7319*c_0110_5^7 + 49121/7319*c_0110_5^6 + 6784/7319*c_0110_5^5 + 47185/7319*c_0110_5^4 + 25380/7319*c_0110_5^3 - 34884/7319*c_0110_5^2 - 30272/7319*c_0110_5 - 6359/7319, c_0101_7 - 30796/7319*c_0110_5^11 - 41628/7319*c_0110_5^10 + 50733/7319*c_0110_5^9 + 136258/7319*c_0110_5^8 - 117383/7319*c_0110_5^7 - 70768/7319*c_0110_5^6 + 47889/7319*c_0110_5^5 - 60009/7319*c_0110_5^4 - 26527/7319*c_0110_5^3 + 95978/7319*c_0110_5^2 + 15198/7319*c_0110_5 - 25054/7319, c_0101_9 + 24958/7319*c_0110_5^11 + 33401/7319*c_0110_5^10 - 45527/7319*c_0110_5^9 - 116178/7319*c_0110_5^8 + 102049/7319*c_0110_5^7 + 75236/7319*c_0110_5^6 - 50486/7319*c_0110_5^5 + 36857/7319*c_0110_5^4 + 27561/7319*c_0110_5^3 - 84225/7319*c_0110_5^2 - 14588/7319*c_0110_5 + 35665/7319, c_0110_11 + 4853/7319*c_0110_5^11 + 15631/7319*c_0110_5^10 + 5930/7319*c_0110_5^9 - 31310/7319*c_0110_5^8 - 20551/7319*c_0110_5^7 + 34804/7319*c_0110_5^6 + 7749/7319*c_0110_5^5 + 5716/7319*c_0110_5^4 + 19069/7319*c_0110_5^3 - 1512/7319*c_0110_5^2 - 18352/7319*c_0110_5 - 1182/7319, c_0110_5^12 + 2*c_0110_5^11 - c_0110_5^10 - 6*c_0110_5^9 + c_0110_5^8 + 6*c_0110_5^7 + 2*c_0110_5^4 - 3*c_0110_5^3 - 3*c_0110_5^2 + c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.160 Total time: 1.379 seconds, Total memory usage: 32.09MB