Magma V2.19-8 Tue Aug 20 2013 20:31:50 on localhost [Seed = 4038502617] Type ? for help. Type -D to quit. Loading file "11_421__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_421 geometric_solution 14.19540733 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 15 1 2 3 4 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.607738161521 0.699317667960 0 4 6 5 0132 2103 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 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 0.686664398692 0.631330403059 7 0 7 8 0132 0132 3012 0132 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 1 0 -1 0 0 0 0 0 4 -1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.607868684417 0.832373358187 9 10 7 0 0132 0132 3120 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 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 0.457114216273 0.888526201490 11 1 0 8 0132 2103 0132 3120 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 -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 0.819759164537 1.980524426157 9 12 1 10 2103 0132 0132 2310 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 0 0 0 0.857260712322 0.947602595188 13 14 9 1 0132 0132 2310 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 1 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 0.067293629845 0.832054791844 2 2 3 11 0132 1230 3120 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 1 -1 0 -1 0 1 0 -4 3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.463176923303 0.983181183863 4 12 2 14 3120 1302 0132 2103 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 1 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 0.161316848424 1.340665687964 3 6 5 13 0132 3201 2103 2103 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 1 0 -1 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 0.917933179673 1.021445249140 5 3 12 14 3201 0132 1302 2310 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 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.210082145235 0.701633195191 4 14 7 13 0132 1230 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 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 -0.338689147218 1.038062480822 10 5 13 8 2031 0132 0213 2031 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 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.846782559418 0.706043565956 6 12 11 9 0132 0213 0132 2103 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.162804213015 1.164549291162 10 6 11 8 3201 0132 3012 2103 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 -1 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 0.752719501737 0.665826101656 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_14' : negation(d['c_0011_11']), 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_0110_12'], 'c_1001_13' : d['c_0101_14'], 'c_1001_12' : d['c_0101_14'], 's_0_10' : d['1'], 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : d['c_0110_14'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : d['c_0110_12'], 'c_1001_3' : negation(d['c_0110_14']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : d['c_0110_12'], 'c_1010_13' : d['c_1001_6'], 'c_1010_12' : d['c_0011_8'], 'c_1010_11' : d['c_0101_14'], 'c_1010_10' : negation(d['c_0110_14']), 'c_1010_14' : d['c_1001_6'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_3_13' : d['1'], 's_0_13' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 'c_0101_13' : d['c_0101_1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_12']), 'c_0101_14' : d['c_0101_14'], '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_2_14' : 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_14' : d['c_0011_13'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0110_14']), 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : negation(d['c_0110_14']), 'c_1100_14' : negation(d['c_0101_11']), 'c_1100_9' : negation(d['c_0011_12']), 'c_1100_11' : negation(d['c_0101_3']), 'c_1100_10' : d['c_0011_13'], 'c_1100_13' : negation(d['c_0101_3']), 's_0_11' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : d['c_0101_14'], 's_3_12' : d['1'], 'c_1010_3' : d['c_0110_12'], 'c_1010_2' : d['c_0110_12'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_1001_6']), 'c_1010_8' : negation(d['c_1001_6']), '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_1001_6'], '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_8'], 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_13']), '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_1'], 'c_0110_10' : negation(d['c_0101_14']), 'c_0110_13' : d['c_0011_12'], 'c_0110_12' : d['c_0110_12'], 'c_0110_14' : d['c_0110_14'], 'c_1010_4' : negation(d['c_0011_8']), 'c_0101_12' : d['c_0011_13'], 's_0_8' : d['1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_12'], '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_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'], 'c_0011_10' : d['c_0011_10'], 's_2_8' : d['1'], 's_1_14' : d['1'], '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_0101_3'], '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_0011_12'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_14, c_0101_3, c_0101_7, c_0110_12, c_0110_14, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 3497709/1463*c_1001_6^12 + 50264028/7315*c_1001_6^11 + 786091/665*c_1001_6^10 + 58772639/7315*c_1001_6^9 + 14633814/1045*c_1001_6^8 - 87419429/7315*c_1001_6^7 + 3830454/665*c_1001_6^6 + 17159519/7315*c_1001_6^5 - 161810032/7315*c_1001_6^4 + 9380684/1045*c_1001_6^3 - 99968524/7315*c_1001_6^2 + 17005287/7315*c_1001_6 - 20072454/7315, c_0011_0 - 1, c_0011_10 + 8/19*c_1001_6^12 + 52/95*c_1001_6^11 - 162/95*c_1001_6^10 + 108/95*c_1001_6^9 + 71/95*c_1001_6^8 - 463/95*c_1001_6^7 + 492/95*c_1001_6^6 - 31/95*c_1001_6^5 - 308/95*c_1001_6^4 + 631/95*c_1001_6^3 - 663/95*c_1001_6^2 + 364/95*c_1001_6 - 179/95, c_0011_11 + 147/95*c_1001_6^12 + 307/95*c_1001_6^11 - 336/95*c_1001_6^10 + 262/95*c_1001_6^9 + 649/95*c_1001_6^8 - 1379/95*c_1001_6^7 + 708/95*c_1001_6^6 + 120/19*c_1001_6^5 - 302/19*c_1001_6^4 + 1244/95*c_1001_6^3 - 727/95*c_1001_6^2 + 249/95*c_1001_6 - 113/95, c_0011_12 + 30/19*c_1001_6^12 + 328/95*c_1001_6^11 - 313/95*c_1001_6^10 + 177/95*c_1001_6^9 + 499/95*c_1001_6^8 - 1437/95*c_1001_6^7 + 553/95*c_1001_6^6 + 506/95*c_1001_6^5 - 1307/95*c_1001_6^4 + 1364/95*c_1001_6^3 - 667/95*c_1001_6^2 + 396/95*c_1001_6 - 106/95, c_0011_13 - 11/19*c_1001_6^12 - 138/95*c_1001_6^11 + 28/95*c_1001_6^10 - 177/95*c_1001_6^9 - 214/95*c_1001_6^8 + 487/95*c_1001_6^7 - 173/95*c_1001_6^6 + 64/95*c_1001_6^5 + 642/95*c_1001_6^4 - 509/95*c_1001_6^3 + 287/95*c_1001_6^2 - 206/95*c_1001_6 + 11/95, c_0011_8 + 12/95*c_1001_6^12 + 13/19*c_1001_6^11 + 111/95*c_1001_6^10 + 59/95*c_1001_6^9 + 8/95*c_1001_6^8 + 34/95*c_1001_6^7 - 164/95*c_1001_6^6 - 224/95*c_1001_6^5 + 128/95*c_1001_6^4 - 52/95*c_1001_6^3 - 159/95*c_1001_6^2 + 34/19*c_1001_6 - 29/95, c_0101_0 - 11/19*c_1001_6^12 - 138/95*c_1001_6^11 + 28/95*c_1001_6^10 - 177/95*c_1001_6^9 - 214/95*c_1001_6^8 + 487/95*c_1001_6^7 - 173/95*c_1001_6^6 + 64/95*c_1001_6^5 + 642/95*c_1001_6^4 - 509/95*c_1001_6^3 + 192/95*c_1001_6^2 - 206/95*c_1001_6 + 11/95, c_0101_1 + 59/95*c_1001_6^12 + 128/95*c_1001_6^11 - 86/95*c_1001_6^10 + 33/19*c_1001_6^9 + 18/19*c_1001_6^8 - 634/95*c_1001_6^7 + 87/19*c_1001_6^6 - 107/95*c_1001_6^5 - 536/95*c_1001_6^4 + 187/19*c_1001_6^3 - 106/19*c_1001_6^2 + 231/95*c_1001_6 - 84/95, c_0101_11 - 18/95*c_1001_6^12 + 83/95*c_1001_6^11 + 318/95*c_1001_6^10 - 269/95*c_1001_6^9 + 7/95*c_1001_6^8 + 652/95*c_1001_6^7 - 1141/95*c_1001_6^6 + 127/95*c_1001_6^5 + 701/95*c_1001_6^4 - 1138/95*c_1001_6^3 + 894/95*c_1001_6^2 - 369/95*c_1001_6 + 41/19, c_0101_14 - 13/19*c_1001_6^12 - 132/95*c_1001_6^11 + 192/95*c_1001_6^10 - 33/95*c_1001_6^9 - 341/95*c_1001_6^8 + 598/95*c_1001_6^7 - 182/95*c_1001_6^6 - 484/95*c_1001_6^5 + 643/95*c_1001_6^4 - 396/95*c_1001_6^3 + 163/95*c_1001_6^2 - 69/95*c_1001_6 - 6/95, c_0101_3 + 9/95*c_1001_6^12 + 139/95*c_1001_6^11 + 278/95*c_1001_6^10 - 141/95*c_1001_6^9 + 158/95*c_1001_6^8 + 377/95*c_1001_6^7 - 959/95*c_1001_6^6 + 31/19*c_1001_6^5 + 42/19*c_1001_6^4 - 837/95*c_1001_6^3 + 826/95*c_1001_6^2 - 357/95*c_1001_6 + 249/95, c_0101_7 - c_1001_6^2 + 1, c_0110_12 - 72/95*c_1001_6^12 - 86/95*c_1001_6^11 + 53/19*c_1001_6^10 - 373/95*c_1001_6^9 - 181/95*c_1001_6^8 + 191/19*c_1001_6^7 - 1182/95*c_1001_6^6 + 147/95*c_1001_6^5 + 1056/95*c_1001_6^4 - 1531/95*c_1001_6^3 + 1163/95*c_1001_6^2 - 412/95*c_1001_6 + 231/95, c_0110_14 - 28/95*c_1001_6^12 - 82/95*c_1001_6^11 - 12/95*c_1001_6^10 - 49/95*c_1001_6^9 - 63/95*c_1001_6^8 + 212/95*c_1001_6^7 + 9/95*c_1001_6^6 + 92/95*c_1001_6^5 + 151/95*c_1001_6^4 - 208/95*c_1001_6^3 + 124/95*c_1001_6^2 - 194/95*c_1001_6 + 11/19, c_1001_6^13 + 2*c_1001_6^12 - 2*c_1001_6^11 + 3*c_1001_6^10 + 3*c_1001_6^9 - 10*c_1001_6^8 + 7*c_1001_6^7 - c_1001_6^6 - 10*c_1001_6^5 + 12*c_1001_6^4 - 9*c_1001_6^3 + 6*c_1001_6^2 - 2*c_1001_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 131.580 Total time: 131.780 seconds, Total memory usage: 822.91MB