Magma V2.19-8 Wed Aug 21 2013 01:09:35 on localhost [Seed = 711734186] Type ? for help. Type -D to quit. Loading file "L14n47040__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n47040 geometric_solution 12.36221152 oriented_manifold CS_known -0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 0 2 0 0 0 0 0 -1 0 1 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 1 0 -1 -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 0.265039379166 1.079502071494 0 5 5 6 0132 0132 0321 0132 1 0 0 2 0 0 0 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 -1 0 1 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 0.138577196016 0.797015933660 7 0 9 8 0132 0132 0132 0132 2 2 0 2 0 0 -1 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 -1 -3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.240845299908 1.146034485643 10 11 11 0 0132 0132 1302 0132 2 0 0 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 0 0 0 0 0 1 -1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.585289271542 0.746372031406 6 11 0 6 1302 0321 0132 2103 2 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 0 0 0 0 0 0 0 0 0 1 -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 0.585289271542 0.746372031406 7 1 1 8 1023 0132 0321 2103 1 2 2 0 0 0 0 0 1 0 0 -1 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 1 0 -1 4 0 0 -4 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.138577196016 0.797015933660 12 4 1 4 0132 2031 0132 2103 1 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 0 0 0 0 0 0 -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 0.568832320257 1.023751027562 2 5 12 9 0132 1023 3012 2031 2 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 -4 1 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 0 0 0.824380168920 0.835666641023 10 10 2 5 1023 0321 0132 2103 2 2 1 0 0 1 -1 0 -1 0 0 1 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 4 -4 0 -4 0 0 4 7 -8 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.788250089359 1.217863094241 9 7 9 2 2031 1302 1302 0132 2 2 2 2 0 0 -1 1 1 0 -1 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 0 -3 3 3 0 -3 0 3 -3 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399080444261 0.259988477219 3 8 12 8 0132 1023 0132 0321 2 0 1 0 0 1 0 -1 -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 4 0 -4 0 0 0 0 -1 -7 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625450542925 0.578686849387 3 3 12 4 2031 0132 0321 0321 2 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 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.349414551154 0.829638960884 6 7 11 10 0132 1230 0321 0132 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 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 0.785492322117 0.873687085123 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_0101_7'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0110_4']), 'c_1001_4' : d['c_1001_12'], 'c_1001_7' : negation(d['c_0011_12']), 'c_1001_6' : negation(d['c_0110_4']), 'c_1001_1' : negation(d['c_0110_8']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_1001_12'], 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0101_7'], 'c_1010_11' : negation(d['c_0011_4']), 'c_1010_10' : d['c_0110_8'], '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_0101_0'], 's_2_0' : negation(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' : negation(d['1']), 's_2_12' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0110_8']), 'c_1100_4' : d['c_0101_11'], 'c_1100_7' : negation(d['c_1001_12']), 'c_1100_6' : negation(d['c_0110_4']), 'c_1100_1' : negation(d['c_0110_4']), 'c_1100_0' : d['c_0101_11'], 'c_1100_3' : d['c_0101_11'], 'c_1100_2' : negation(d['c_0011_9']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_9']), 'c_1100_11' : d['c_1001_12'], 'c_1100_10' : d['c_1001_0'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_9'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0110_8']), 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : d['c_1001_12'], 'c_1010_9' : d['c_1001_12'], 'c_1010_8' : d['c_0110_8'], 'c_1100_8' : negation(d['c_0011_9']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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_0'], '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' : 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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_4']), 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : negation(d['c_0101_11']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_12']), 'c_0101_4' : d['c_0011_12'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_12'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_9']), 'c_0101_8' : d['c_0101_7'], 's_1_12' : negation(d['1']), 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_12'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_9'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_11'])})} 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_0011_9, c_0101_0, c_0101_11, c_0101_2, c_0101_7, c_0110_4, c_0110_8, c_1001_0, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 5261701526343/19514096*c_1001_12^7 - 9027949644207/78056384*c_1001_12^6 - 16344950888475/78056384*c_1001_12^5 + 242337794985/39028192*c_1001_12^4 + 3462540543301/33452736*c_1001_12^3 - 1004474893937/39028192*c_1001_12^2 + 1961319541639/234169152*c_1001_12 - 20106064711/78056384, c_0011_0 - 1, c_0011_10 + 61430833269/39028192*c_1001_12^7 - 23380092153/39028192*c_1001_12^6 - 24928186509/19514096*c_1001_12^5 - 655740819/39028192*c_1001_12^4 + 1745712997/2787728*c_1001_12^3 - 4578704259/39028192*c_1001_12^2 + 1200432649/39028192*c_1001_12 + 2012419/19514096, c_0011_12 - 2330814933/9757048*c_1001_12^7 + 439430265/4878524*c_1001_12^6 + 962240067/4878524*c_1001_12^5 + 154405953/19514096*c_1001_12^4 - 133399373/1393864*c_1001_12^3 + 283141475/19514096*c_1001_12^2 - 25613107/4878524*c_1001_12 + 14440921/19514096, c_0011_4 + 3108805191/39028192*c_1001_12^7 - 217554741/19514096*c_1001_12^6 - 2333237481/39028192*c_1001_12^5 - 855851967/39028192*c_1001_12^4 + 108561365/5575456*c_1001_12^3 + 74993381/39028192*c_1001_12^2 + 74514809/9757048*c_1001_12 - 6705477/39028192, c_0011_9 + 2725760889/19514096*c_1001_12^7 - 1130965497/19514096*c_1001_12^6 - 1059109425/9757048*c_1001_12^5 - 7997859/19514096*c_1001_12^4 + 73017369/1393864*c_1001_12^3 - 234483579/19514096*c_1001_12^2 + 83710117/19514096*c_1001_12 - 493513/9757048, c_0101_0 - 1, c_0101_11 + 2338202619/19514096*c_1001_12^7 - 24605937/2439262*c_1001_12^6 - 2070075933/19514096*c_1001_12^5 - 327931497/9757048*c_1001_12^4 + 123176031/2787728*c_1001_12^3 + 8291697/1219631*c_1001_12^2 + 8256079/9757048*c_1001_12 - 3944943/9757048, c_0101_2 + 7487577225/39028192*c_1001_12^7 - 2963538819/39028192*c_1001_12^6 - 1471763925/9757048*c_1001_12^5 + 68993829/39028192*c_1001_12^4 + 102819109/1393864*c_1001_12^3 - 654731923/39028192*c_1001_12^2 + 197325267/39028192*c_1001_12 - 85971/1219631, c_0101_7 - 702033561/4878524*c_1001_12^7 + 643417587/9757048*c_1001_12^6 + 2104744743/19514096*c_1001_12^5 - 70172325/19514096*c_1001_12^4 - 152767539/2787728*c_1001_12^3 + 239929701/19514096*c_1001_12^2 - 109045227/19514096*c_1001_12 + 21703023/19514096, c_0110_4 - 521540451/1219631*c_1001_12^7 + 7627414005/19514096*c_1001_12^6 + 2651524875/9757048*c_1001_12^5 - 896279985/4878524*c_1001_12^4 - 62146365/348466*c_1001_12^3 + 606258965/4878524*c_1001_12^2 - 225010395/9757048*c_1001_12 + 51225065/19514096, c_0110_8 + 1, c_1001_0 + 1369667799/19514096*c_1001_12^7 - 1938687291/39028192*c_1001_12^6 - 2016995823/39028192*c_1001_12^5 + 26836731/1219631*c_1001_12^4 + 162928655/5575456*c_1001_12^3 - 160917527/9757048*c_1001_12^2 + 82083831/39028192*c_1001_12 + 20991111/39028192, c_1001_12^8 - 4/9*c_1001_12^7 - 62/81*c_1001_12^6 + 8/243*c_1001_12^5 + 2491/6561*c_1001_12^4 - 664/6561*c_1001_12^3 + 226/6561*c_1001_12^2 - 4/2187*c_1001_12 + 1/6561 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB