Magma V2.19-8 Wed Aug 21 2013 00:55:27 on localhost [Seed = 2564719335] Type ? for help. Type -D to quit. Loading file "L13n10006__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n10006 geometric_solution 12.72602628 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 0 0 1 1 0 0 -1 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 -1 2 -1 1 0 -1 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 0.322202605504 1.092358794719 0 5 4 6 0132 0132 3012 0132 1 0 1 1 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 -1 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 0.710153943559 0.863753009673 7 0 4 8 0132 0132 1302 0132 0 1 1 1 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 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 0.379410995800 0.669375018687 9 9 10 0 0132 1302 0132 0132 0 0 1 2 0 -1 0 1 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 -2 -1 0 0 1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.263248119186 0.777837712562 2 1 0 8 2031 1230 0132 0213 0 0 1 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 0 0 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 0.386096227984 1.076150313992 11 1 9 6 0132 0132 3120 3120 1 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 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 0.380174323425 0.526365083889 5 12 1 8 3120 0132 0132 1230 1 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 0.708342520198 0.636879516884 2 11 12 12 0132 0132 1023 1230 2 1 1 1 0 0 0 0 0 0 0 0 1 0 0 -1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618654299270 1.033722727289 6 10 2 4 3012 0213 0132 0213 0 1 0 1 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 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.823333505265 1.383806582656 3 12 5 3 0132 2310 3120 2031 1 0 2 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 1 0 0 -1 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.641862273664 0.677656475305 11 11 8 3 2103 1302 0213 0132 0 0 2 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 0 0 0 0 1 0 -1 -1 0 1 0 3 -2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.609615918276 1.153495273160 5 7 10 10 0132 0132 2103 2031 2 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 0 0 0 1 -3 2 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 0.609615918276 1.153495273160 7 6 7 9 3012 0132 1023 3201 1 2 1 1 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 -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 0.573728687302 0.712265871986 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0101_5'], 'c_1001_12' : d['c_0101_7'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0110_4'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0011_12'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : d['c_0110_4'], 'c_1001_9' : negation(d['c_1001_5']), 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_0101_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 'c_0101_12' : d['c_0011_10'], 'c_0101_11' : d['c_0011_8'], 'c_0101_10' : d['c_0011_8'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(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_5']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_1010_8'], 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : negation(d['c_0110_4']), 'c_1100_1' : negation(d['c_0110_4']), 'c_1100_0' : d['c_1010_8'], 'c_1100_3' : d['c_1010_8'], 'c_1100_2' : d['c_0101_1'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_3']), 'c_1100_10' : d['c_1010_8'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : d['c_0011_12'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0110_4'], 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : d['c_1010_8'], 'c_1100_8' : d['c_0101_1'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_0011_3'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_12']), '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_0101_5'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_12'], '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'], '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' : negation(d['c_0110_4']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_8'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_12'], 'c_0110_6' : d['c_0011_8'], '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_12, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_7, c_0110_4, c_1001_5, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 3451547410871/379598667776*c_1010_8^8 + 33558611035535/379598667776*c_1010_8^7 - 70422933476941/189799333888*c_1010_8^6 - 54196077389553/189799333888*c_1010_8^5 + 254042130911765/379598667776*c_1010_8^4 + 681930858829235/379598667776*c_1010_8^3 + 166729290547827/94899666944*c_1010_8^2 + 13201780944237/23724916736*c_1010_8 + 81323515385/5931229184, c_0011_0 - 1, c_0011_10 - 69399626051/94899666944*c_1010_8^8 + 688557879867/94899666944*c_1010_8^7 - 1485971476545/47449833472*c_1010_8^6 - 779005383813/47449833472*c_1010_8^5 + 5287011490361/94899666944*c_1010_8^4 + 12587015530415/94899666944*c_1010_8^3 + 2794669194583/23724916736*c_1010_8^2 + 163009407041/5931229184*c_1010_8 + 2032372021/1482807296, c_0011_12 + 13092987425/23724916736*c_1010_8^8 - 134225590121/23724916736*c_1010_8^7 + 302625053115/11862458368*c_1010_8^6 + 45837217111/11862458368*c_1010_8^5 - 1017587413875/23724916736*c_1010_8^4 - 2027840546277/23724916736*c_1010_8^3 - 367635533317/5931229184*c_1010_8^2 - 3703744059/1482807296*c_1010_8 - 357581647/370701824, c_0011_3 - 1, c_0011_8 + 16382605659/94899666944*c_1010_8^8 - 172962621779/94899666944*c_1010_8^7 + 404147337801/47449833472*c_1010_8^6 - 56375170323/47449833472*c_1010_8^5 - 1327509821185/94899666944*c_1010_8^4 - 2154286232167/94899666944*c_1010_8^3 - 251519134287/23724916736*c_1010_8^2 + 31224489207/5931229184*c_1010_8 - 860066461/1482807296, c_0101_0 - 1, c_0101_1 + 5359304783/47449833472*c_1010_8^8 - 54310780647/47449833472*c_1010_8^7 + 120551828805/23724916736*c_1010_8^6 + 34608387929/23724916736*c_1010_8^5 - 427911858205/47449833472*c_1010_8^4 - 843812838955/47449833472*c_1010_8^3 - 171755692659/11862458368*c_1010_8^2 - 6733837189/2965614592*c_1010_8 - 614902857/741403648, c_0101_3 - 30039271689/94899666944*c_1010_8^8 + 303351883633/94899666944*c_1010_8^7 - 670630472323/47449833472*c_1010_8^6 - 212288314831/47449833472*c_1010_8^5 + 2306900430955/94899666944*c_1010_8^4 + 5033452720845/94899666944*c_1010_8^3 + 1013052165573/23724916736*c_1010_8^2 + 42584552707/5931229184*c_1010_8 + 1382235871/1482807296, c_0101_5 - 55742960021/94899666944*c_1010_8^8 + 558168618013/94899666944*c_1010_8^7 - 1219488342023/47449833472*c_1010_8^6 - 510341898659/47449833472*c_1010_8^5 + 4307620880591/94899666944*c_1010_8^4 + 9707849041737/94899666944*c_1010_8^3 + 2033136163297/23724916736*c_1010_8^2 + 89200365127/5931229184*c_1010_8 + 27395315/1482807296, c_0101_7 - 37935455677/94899666944*c_1010_8^8 + 369140968709/94899666944*c_1010_8^7 - 775587661055/47449833472*c_1010_8^6 - 588796961467/47449833472*c_1010_8^5 + 2799431892167/94899666944*c_1010_8^4 + 7441197598097/94899666944*c_1010_8^3 + 1811497808841/23724916736*c_1010_8^2 + 146716971583/5931229184*c_1010_8 + 2445997931/1482807296, c_0110_4 + 23869096139/47449833472*c_1010_8^8 - 239820055875/47449833472*c_1010_8^7 + 526463142169/23724916736*c_1010_8^6 + 198577604349/23724916736*c_1010_8^5 - 1839766090833/47449833472*c_1010_8^4 - 4090621050007/47449833472*c_1010_8^3 - 847669180543/11862458368*c_1010_8^2 - 31799644377/2965614592*c_1010_8 - 109408045/741403648, c_1001_5 - 51948240085/47449833472*c_1010_8^8 + 528215207261/47449833472*c_1010_8^7 - 1177677914535/23724916736*c_1010_8^6 - 290268350435/23724916736*c_1010_8^5 + 4079967995919/47449833472*c_1010_8^4 + 8390444906121/47449833472*c_1010_8^3 + 1583379604529/11862458368*c_1010_8^2 + 30517752615/2965614592*c_1010_8 + 682947267/741403648, c_1010_8^9 - 450/49*c_1010_8^8 + 1735/49*c_1010_8^7 + 2696/49*c_1010_8^6 - 3137/49*c_1010_8^5 - 11658/49*c_1010_8^4 - 14087/49*c_1010_8^3 - 6940/49*c_1010_8^2 - 912/49*c_1010_8 - 64/49 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB