Magma V2.19-8 Wed Aug 21 2013 00:05:22 on localhost [Seed = 1679952618] Type ? for help. Type -D to quit. Loading file "L9a8__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L9a8 geometric_solution 11.38178609 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1230 1 1 0 1 0 0 0 0 -1 0 0 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 1 0 -1 -3 0 -1 4 -1 -1 0 2 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411548718811 0.790943454207 0 4 4 5 0132 0132 1302 0132 1 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 0 0 0 0 0 0 0 0 3 0 -3 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 0.482305144884 0.994942611202 0 0 4 5 3012 0132 0132 0213 1 1 1 0 0 0 0 0 0 0 0 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 -1 1 0 1 0 0 -1 -4 4 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605485739623 0.813839646000 6 4 7 0 0132 1230 0132 0132 1 1 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 0 0 0 0 0 -1 1 1 3 0 -4 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.242707453196 0.959731880493 1 1 3 2 2031 0132 3012 0132 1 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 1 -1 0 0 0 0 1 0 0 -1 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605485739623 0.813839646000 8 6 1 2 0132 2103 0132 0213 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 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 0.506693467760 0.642142692014 3 5 8 9 0132 2103 0132 0132 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 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 0.148371139626 1.274996873329 10 9 8 3 0132 0132 3120 0132 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 0 0 0 0 0 0 -1 0 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 0.686889362363 0.551744530201 5 11 7 6 0132 0132 3120 0132 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 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 0.511184787380 0.481854744158 10 7 6 11 2103 0132 0132 2103 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 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 1.435262916223 0.988766529552 7 11 9 11 0132 3201 2103 3120 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 0 0 0 0 1 -1 1 0 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 0.813260110562 0.623881657755 10 8 10 9 3120 0132 2310 2103 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 0 0 0 1 0 -1 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 0.813260110562 0.623881657755 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_1001_3'], 'c_1001_8' : negation(d['c_1001_7']), 'c_1010_11' : negation(d['c_1001_7']), 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : 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' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : 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_0101_4'], 'c_1100_4' : negation(d['c_1001_3']), 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : negation(d['c_0101_8']), 'c_1100_3' : negation(d['c_0101_8']), 'c_1100_2' : negation(d['c_1001_3']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0011_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : negation(d['c_1001_3']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_1001_7'], 'c_1010_8' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_7']), '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'], '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' : 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' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_11'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_3']), '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_7'], 'c_0110_10' : d['c_0101_7'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_7']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_8']), 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_10']})} 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_10, c_0011_11, c_0011_3, c_0101_0, c_0101_10, c_0101_2, c_0101_4, c_0101_7, c_0101_8, c_1001_3, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 35894845202368316021/4511484666684505000*c_1001_7^11 - 7106092092117713049/902296933336901000*c_1001_7^10 + 18767498504758478579/2255742333342252500*c_1001_7^9 - 45986588530694947059/563935583335563125*c_1001_7^8 + 219381372421752159861/1127871166671126250*c_1001_7^7 - 568109649786008765357/2255742333342252500*c_1001_7^6 + 151033907756435684761/563935583335563125*c_1001_7^5 - 74599058476770346937/451148466668450500*c_1001_7^4 + 61078645780379646073/4511484666684505000*c_1001_7^3 + 147529983174876248053/4511484666684505000*c_1001_7^2 - 39693965690933007401/2255742333342252500*c_1001_7 + 7783702196732441741/2255742333342252500, c_0011_0 - 1, c_0011_10 - 719867662070427/1804593866673802*c_1001_7^11 + 1125081866291041/1804593866673802*c_1001_7^10 - 465012473537452/902296933336901*c_1001_7^9 + 3755338232610814/902296933336901*c_1001_7^8 - 10852934216474352/902296933336901*c_1001_7^7 + 15273498634634197/902296933336901*c_1001_7^6 - 15485455599048922/902296933336901*c_1001_7^5 + 10935338292403915/902296933336901*c_1001_7^4 - 3664239260667619/1804593866673802*c_1001_7^3 - 6171747481756279/1804593866673802*c_1001_7^2 + 489117202660846/902296933336901*c_1001_7 + 728260498421297/902296933336901, c_0011_11 - 3718770376616477/3609187733347604*c_1001_7^11 + 1701345129623068/902296933336901*c_1001_7^10 - 1822554112722455/902296933336901*c_1001_7^9 + 10358500675316619/902296933336901*c_1001_7^8 - 30837778822784762/902296933336901*c_1001_7^7 + 49415149273568036/902296933336901*c_1001_7^6 - 57296164214510515/902296933336901*c_1001_7^5 + 47569431652427194/902296933336901*c_1001_7^4 - 84039201861493653/3609187733347604*c_1001_7^3 + 603531879285614/902296933336901*c_1001_7^2 + 1962850326269020/902296933336901*c_1001_7 + 373040165751088/902296933336901, c_0011_3 + 1508606278934313/1804593866673802*c_1001_7^11 - 3006453118312941/1804593866673802*c_1001_7^10 + 1401664051207946/902296933336901*c_1001_7^9 - 8423683113617397/902296933336901*c_1001_7^8 + 26248382755697308/902296933336901*c_1001_7^7 - 40931542714333934/902296933336901*c_1001_7^6 + 46581038260572202/902296933336901*c_1001_7^5 - 39160906869955403/902296933336901*c_1001_7^4 + 30254215771045441/1804593866673802*c_1001_7^3 + 3269956862370119/1804593866673802*c_1001_7^2 - 1862769251255256/902296933336901*c_1001_7 + 465668977132631/902296933336901, c_0101_0 - 1, c_0101_10 - 3718770376616477/3609187733347604*c_1001_7^11 + 1701345129623068/902296933336901*c_1001_7^10 - 1822554112722455/902296933336901*c_1001_7^9 + 10358500675316619/902296933336901*c_1001_7^8 - 30837778822784762/902296933336901*c_1001_7^7 + 49415149273568036/902296933336901*c_1001_7^6 - 57296164214510515/902296933336901*c_1001_7^5 + 47569431652427194/902296933336901*c_1001_7^4 - 84039201861493653/3609187733347604*c_1001_7^3 + 603531879285614/902296933336901*c_1001_7^2 + 1962850326269020/902296933336901*c_1001_7 + 373040165751088/902296933336901, c_0101_2 - 14071902/1013246401*c_1001_7^11 + 1841138089/2026492802*c_1001_7^10 - 1198728861/1013246401*c_1001_7^9 + 1201351803/1013246401*c_1001_7^8 - 10019713726/1013246401*c_1001_7^7 + 25498046350/1013246401*c_1001_7^6 - 34649168540/1013246401*c_1001_7^5 + 38280816491/1013246401*c_1001_7^4 - 27878180754/1013246401*c_1001_7^3 + 16053747005/2026492802*c_1001_7^2 - 567549023/1013246401*c_1001_7 + 241296005/1013246401, c_0101_4 + 1483544193328509/1804593866673802*c_1001_7^11 - 683458904460176/902296933336901*c_1001_7^10 + 334194801758585/902296933336901*c_1001_7^9 - 7353878131694094/902296933336901*c_1001_7^8 + 17325817662980582/902296933336901*c_1001_7^7 - 18225506941612584/902296933336901*c_1001_7^6 + 15725919026533662/902296933336901*c_1001_7^5 - 5071801503903412/902296933336901*c_1001_7^4 - 19396879908190067/1804593866673802*c_1001_7^3 + 8782917312034812/902296933336901*c_1001_7^2 - 2368172223785779/902296933336901*c_1001_7 + 680543310881136/902296933336901, c_0101_7 + 1076718992557195/902296933336901*c_1001_7^11 - 1745945552305526/902296933336901*c_1001_7^10 + 1701808383576546/902296933336901*c_1001_7^9 - 11580836964792673/902296933336901*c_1001_7^8 + 33284505762647428/902296933336901*c_1001_7^7 - 49862607033503712/902296933336901*c_1001_7^6 + 54721153431199652/902296933336901*c_1001_7^5 - 42359486581906577/902296933336901*c_1001_7^4 + 14810829403929531/902296933336901*c_1001_7^3 + 2399161833267579/902296933336901*c_1001_7^2 - 1302455374896662/902296933336901*c_1001_7 - 1451009623508127/902296933336901, c_0101_8 - 1508606278934313/1804593866673802*c_1001_7^11 + 3006453118312941/1804593866673802*c_1001_7^10 - 1401664051207946/902296933336901*c_1001_7^9 + 8423683113617397/902296933336901*c_1001_7^8 - 26248382755697308/902296933336901*c_1001_7^7 + 40931542714333934/902296933336901*c_1001_7^6 - 46581038260572202/902296933336901*c_1001_7^5 + 39160906869955403/902296933336901*c_1001_7^4 - 30254215771045441/1804593866673802*c_1001_7^3 - 3269956862370119/1804593866673802*c_1001_7^2 + 1862769251255256/902296933336901*c_1001_7 - 465668977132631/902296933336901, c_1001_3 + 1, c_1001_7^12 - 36/13*c_1001_7^11 + 44/13*c_1001_7^10 - 164/13*c_1001_7^9 + 564/13*c_1001_7^8 - 1056/13*c_1001_7^7 + 1348/13*c_1001_7^6 - 1288/13*c_1001_7^5 + 789/13*c_1001_7^4 - 204/13*c_1001_7^3 - 24/13*c_1001_7^2 + 8/13*c_1001_7 + 8/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB