Magma V2.19-8 Wed Aug 21 2013 00:35:15 on localhost [Seed = 2244187187] Type ? for help. Type -D to quit. Loading file "K14n21978__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n21978 geometric_solution 12.01132255 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 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 -0.263368265927 1.331931347335 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 -1 1 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 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 0.260236363783 0.656640144006 8 0 10 9 0132 0132 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 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 0.681236730374 0.751673007093 8 11 12 0 2031 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 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 -0.129732753118 1.326710643942 7 11 0 10 1302 0321 0132 3120 0 0 0 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 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 0.326721917156 0.328040531650 8 1 6 9 1023 0132 2103 1023 0 0 0 0 0 1 -1 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 1 -1 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 0.277128269070 1.163828150617 5 7 1 12 2103 3012 0132 2310 0 0 0 0 0 1 0 -1 0 0 -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 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.952267885846 0.862438235313 6 4 8 1 1230 2031 2031 0132 0 0 0 0 0 0 1 -1 1 0 -1 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 0 1 -1 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 1.093932941672 0.539784332992 2 5 3 7 0132 1023 1302 1302 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 -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 0.349277914927 0.784995152511 11 12 2 5 0213 3120 0132 1023 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 -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 0.520364766959 1.223197569847 4 11 12 2 3120 0213 3120 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 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 0.545179789644 0.759820161248 9 3 10 4 0213 0132 0213 0321 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 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 0.210024711101 1.230868492905 6 9 10 3 3201 3120 3120 0132 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543986339687 0.906023127867 ==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_1001_0'], 'c_1001_12' : negation(d['c_1001_0']), 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0011_6'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_0'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_1001_2'], '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'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], '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' : 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' : negation(d['c_0101_12']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_12'], 'c_1100_4' : negation(d['c_0101_10']), 'c_1100_7' : d['c_0011_12'], 'c_1100_6' : d['c_0011_12'], 'c_1100_1' : d['c_0011_12'], 'c_1100_0' : negation(d['c_0101_10']), 'c_1100_3' : negation(d['c_0101_10']), 'c_1100_2' : negation(d['c_0101_12']), 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_2'], 'c_1100_10' : negation(d['c_0101_12']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_12']), 'c_1010_8' : negation(d['c_0011_12']), 'c_1100_8' : d['c_0101_3'], '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' : negation(d['c_0101_10']), '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_6']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_4']), 'c_0110_10' : d['c_0101_2'], 'c_0110_12' : d['c_0101_3'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : d['c_0011_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_11'], 'c_0110_5' : negation(d['c_0011_12']), 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0011_6'], 'c_0110_6' : negation(d['c_0101_12'])})} 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_4, c_0011_6, c_0101_0, c_0101_10, c_0101_12, c_0101_2, c_0101_3, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 13442656053/42625*c_1001_2^15 + 2993472229/3875*c_1001_2^14 + 87110940211/34100*c_1001_2^13 + 29334381751/6820*c_1001_2^12 - 23867352239/8525*c_1001_2^11 + 1290129765931/170500*c_1001_2^10 - 1785899940177/170500*c_1001_2^9 - 1341619590037/170500*c_1001_2^8 + 965215230811/42625*c_1001_2^7 - 7134817624331/170500*c_1001_2^6 + 1863694733469/34100*c_1001_2^5 - 1989560860198/42625*c_1001_2^4 + 1376048262749/42625*c_1001_2^3 - 2952547293771/170500*c_1001_2^2 + 464271662119/85250*c_1001_2 - 119191031197/170500, c_0011_0 - 1, c_0011_10 - c_1001_2, c_0011_11 - 369*c_1001_2^15 - 851*c_1001_2^14 - 2840*c_1001_2^13 - 4550*c_1001_2^12 + 4173*c_1001_2^11 - 8998*c_1001_2^10 + 13460*c_1001_2^9 + 7889*c_1001_2^8 - 28314*c_1001_2^7 + 52096*c_1001_2^6 - 69791*c_1001_2^5 + 61609*c_1001_2^4 - 42974*c_1001_2^3 + 23712*c_1001_2^2 - 7974*c_1001_2 + 1118, c_0011_12 + 1, c_0011_4 - 4581*c_1001_2^15 - 11191*c_1001_2^14 - 37015*c_1001_2^13 - 62179*c_1001_2^12 + 41258*c_1001_2^11 - 109834*c_1001_2^10 + 152921*c_1001_2^9 + 113756*c_1001_2^8 - 330018*c_1001_2^7 + 609391*c_1001_2^6 - 796990*c_1001_2^5 + 681381*c_1001_2^4 - 471346*c_1001_2^3 + 253148*c_1001_2^2 - 79771*c_1001_2 + 10257, c_0011_6 - 39*c_1001_2^15 - 86*c_1001_2^14 - 290*c_1001_2^13 - 448*c_1001_2^12 + 498*c_1001_2^11 - 982*c_1001_2^10 + 1507*c_1001_2^9 + 714*c_1001_2^8 - 3113*c_1001_2^7 + 5781*c_1001_2^6 - 7850*c_1001_2^5 + 7115*c_1001_2^4 - 5016*c_1001_2^3 + 2813*c_1001_2^2 - 999*c_1001_2 + 153, c_0101_0 - 9851*c_1001_2^15 - 24422*c_1001_2^14 - 80650*c_1001_2^13 - 137127*c_1001_2^12 + 82145*c_1001_2^11 - 236308*c_1001_2^10 + 320230*c_1001_2^9 + 252152*c_1001_2^8 - 696986*c_1001_2^7 + 1291155*c_1001_2^6 - 1676191*c_1001_2^5 + 1422319*c_1001_2^4 - 982342*c_1001_2^3 + 523559*c_1001_2^2 - 162410*c_1001_2 + 20486, c_0101_10 + 970*c_1001_2^15 + 2320*c_1001_2^14 + 7693*c_1001_2^13 + 12697*c_1001_2^12 - 9630*c_1001_2^11 + 23286*c_1001_2^10 - 33545*c_1001_2^9 - 22974*c_1001_2^8 + 71648*c_1001_2^7 - 131773*c_1001_2^6 + 174046*c_1001_2^5 - 150404*c_1001_2^4 + 104271*c_1001_2^3 - 56585*c_1001_2^2 + 18221*c_1001_2 - 2405, c_0101_12 + 749*c_1001_2^15 + 1754*c_1001_2^14 + 5837*c_1001_2^13 + 9470*c_1001_2^12 - 8047*c_1001_2^11 + 18133*c_1001_2^10 - 26734*c_1001_2^9 - 16751*c_1001_2^8 + 56591*c_1001_2^7 - 104060*c_1001_2^6 + 138607*c_1001_2^5 - 121268*c_1001_2^4 + 84359*c_1001_2^3 - 46232*c_1001_2^2 + 15269*c_1001_2 - 2088, c_0101_2 + 2105*c_1001_2^15 + 5082*c_1001_2^14 + 16830*c_1001_2^13 + 27992*c_1001_2^12 - 20076*c_1001_2^11 + 50439*c_1001_2^10 - 71720*c_1001_2^9 - 51000*c_1001_2^8 + 153816*c_1001_2^7 - 283241*c_1001_2^6 + 372569*c_1001_2^5 - 320304*c_1001_2^4 + 221804*c_1001_2^3 - 119808*c_1001_2^2 + 38171*c_1001_2 - 4969, c_0101_3 + 2075*c_1001_2^15 + 5015*c_1001_2^14 + 16605*c_1001_2^13 + 27641*c_1001_2^12 - 19703*c_1001_2^11 + 49694*c_1001_2^10 - 70581*c_1001_2^9 - 50420*c_1001_2^8 + 151440*c_1001_2^7 - 278862*c_1001_2^6 + 366651*c_1001_2^5 - 314990*c_1001_2^4 + 218083*c_1001_2^3 - 117734*c_1001_2^2 + 37450*c_1001_2 - 4863, c_1001_0 + 6885*c_1001_2^15 + 17028*c_1001_2^14 + 56250*c_1001_2^13 + 95460*c_1001_2^12 - 58128*c_1001_2^11 + 165227*c_1001_2^10 - 224749*c_1001_2^9 - 175265*c_1001_2^8 + 488588*c_1001_2^7 - 904730*c_1001_2^6 + 1175931*c_1001_2^5 - 999253*c_1001_2^4 + 690352*c_1001_2^3 - 368438*c_1001_2^2 + 114640*c_1001_2 - 14518, c_1001_2^16 + 2*c_1001_2^15 + 7*c_1001_2^14 + 10*c_1001_2^13 - 15*c_1001_2^12 + 28*c_1001_2^11 - 44*c_1001_2^10 - 10*c_1001_2^9 + 83*c_1001_2^8 - 165*c_1001_2^7 + 233*c_1001_2^6 - 226*c_1001_2^5 + 169*c_1001_2^4 - 101*c_1001_2^3 + 42*c_1001_2^2 - 10*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 9.240 Total time: 9.449 seconds, Total memory usage: 143.56MB