Magma V2.19-8 Tue Aug 20 2013 23:49:43 on localhost [Seed = 374373602] Type ? for help. Type -D to quit. Loading file "L12n1963__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1963 geometric_solution 11.13390472 oriented_manifold CS_known -0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 0 0 1 2 1230 3012 0132 0132 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 1 -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 0.861426241349 2.111162852299 3 4 5 0 0132 0132 0132 0132 0 0 0 1 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 -1 0 1 0 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 0.140692977769 0.738165636700 6 3 0 7 0132 3201 0132 0132 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.140692977769 0.738165636700 1 6 2 4 0132 0132 2310 2310 1 0 1 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 -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 0.803709961635 0.468225508791 3 1 8 7 3201 0132 0132 1230 0 1 1 0 0 -1 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 0 0 0 1 -1 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 0.475998701765 1.349176385831 9 6 7 1 0132 1230 0132 0132 0 0 1 1 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.345907873233 0.810562083435 2 3 5 10 0132 0132 3012 0132 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 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 0.475998701765 1.349176385831 4 11 2 5 3012 0132 0132 0132 0 0 1 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.345907873233 0.810562083435 9 10 9 4 2310 3012 1230 0132 0 1 0 2 0 0 1 -1 0 0 0 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 -1 1 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 0.025181243642 0.784445789077 5 11 8 8 0132 1023 3201 3012 2 0 1 1 0 0 -1 1 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 -1 0 1 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 0.622638009278 0.501042641324 8 11 6 11 1230 2310 0132 3012 1 0 2 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 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 0.025181243642 0.784445789077 9 7 10 10 1023 0132 1230 3201 0 2 1 1 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 0 0 0 1 0 0 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.622638009278 0.501042641324 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_11'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : negation(d['c_1001_10']), 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : d['c_0101_6'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : negation(d['c_0101_0']), 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_1001_10']), 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : d['1'], 's_3_10' : 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_0'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_1001_11']), 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_10'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_1001_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0011_11'], 'c_1010_2' : negation(d['c_1001_10']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : negation(d['c_0011_0']), 'c_1100_8' : d['c_0101_5'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : negation(d['c_0011_1']), 'c_0110_11' : d['c_0101_11'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : negation(d['c_0101_11']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_11']), 'c_0110_7' : d['c_0101_5'], 'c_0110_6' : d['c_0011_0']})} 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_1, c_0011_10, c_0011_11, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_0101_6, c_1001_10, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 141669642670593489/13553053240430850224*c_1100_0^7 - 1450779035918938041/13553053240430850224*c_1100_0^6 + 42989638778942691/13553053240430850224*c_1100_0^5 - 2877335474390444753/13553053240430850224*c_1100_0^4 + 6540118100798365689/13553053240430850224*c_1100_0^3 + 28083857931893600893/3388263310107712556*c_1100_0^2 + 2133343229095337153/13553053240430850224*c_1100_0 + 433185967680935402177/13553053240430850224, c_0011_0 - 1, c_0011_1 - 1, c_0011_10 + 1, c_0011_11 + 501884739/684858607316*c_1100_0^7 + 7037777983/684858607316*c_1100_0^6 + 5467307618/171214651829*c_1100_0^5 + 40532017167/684858607316*c_1100_0^4 + 84597688795/684858607316*c_1100_0^3 - 103552594725/684858607316*c_1100_0^2 - 341774806385/684858607316*c_1100_0 - 171752743717/342429303658, c_0101_0 - 5727/3768011*c_1100_0^7 - 77982/3768011*c_1100_0^6 - 200348/3768011*c_1100_0^5 - 189170/3768011*c_1100_0^4 - 871049/3768011*c_1100_0^3 + 560709/3768011*c_1100_0^2 + 1667207/3768011*c_1100_0 - 4623638/3768011, c_0101_1 - 316073911/171214651829*c_1100_0^7 - 7758036307/342429303658*c_1100_0^6 - 14221710235/342429303658*c_1100_0^5 - 15989350192/171214651829*c_1100_0^4 - 100311856083/342429303658*c_1100_0^3 + 78677653983/342429303658*c_1100_0^2 - 69991816483/342429303658*c_1100_0 - 109802641955/342429303658, c_0101_11 - 228433233/342429303658*c_1100_0^7 - 1954487359/342429303658*c_1100_0^6 + 2611918481/171214651829*c_1100_0^5 + 8556399603/342429303658*c_1100_0^4 + 30900187083/342429303658*c_1100_0^3 + 236105068665/342429303658*c_1100_0^2 - 146206414487/342429303658*c_1100_0 + 254276129303/171214651829, c_0101_5 - 860581055/342429303658*c_1100_0^7 - 4856261833/171214651829*c_1100_0^6 - 8997873273/342429303658*c_1100_0^5 - 23422300781/342429303658*c_1100_0^4 - 34705834500/171214651829*c_1100_0^3 + 157391361324/171214651829*c_1100_0^2 - 108099115485/171214651829*c_1100_0 + 398749616651/342429303658, c_0101_6 + 7212175/342429303658*c_1100_0^7 - 458282207/171214651829*c_1100_0^6 - 9955236513/342429303658*c_1100_0^5 + 6607756021/342429303658*c_1100_0^4 + 9228660791/171214651829*c_1100_0^3 - 15098668145/171214651829*c_1100_0^2 + 253913911612/171214651829*c_1100_0 - 160276748875/342429303658, c_1001_10 - 316073911/171214651829*c_1100_0^7 - 7758036307/342429303658*c_1100_0^6 - 14221710235/342429303658*c_1100_0^5 - 15989350192/171214651829*c_1100_0^4 - 100311856083/342429303658*c_1100_0^3 + 78677653983/342429303658*c_1100_0^2 - 69991816483/342429303658*c_1100_0 - 109802641955/342429303658, c_1001_11 + 860581055/342429303658*c_1100_0^7 + 4856261833/171214651829*c_1100_0^6 + 8997873273/342429303658*c_1100_0^5 + 23422300781/342429303658*c_1100_0^4 + 34705834500/171214651829*c_1100_0^3 - 157391361324/171214651829*c_1100_0^2 + 108099115485/171214651829*c_1100_0 - 398749616651/342429303658, c_1100_0^8 + 12*c_1100_0^7 + 24*c_1100_0^6 + 104*c_1100_0^5 + 250*c_1100_0^4 + 25*c_1100_0^3 + 979*c_1100_0^2 - 852*c_1100_0 + 901 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB