Magma V2.19-8 Tue Aug 20 2013 23:29:48 on localhost [Seed = 3516381063] Type ? for help. Type -D to quit. Loading file "K14n21882__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n21882 geometric_solution 6.16820572 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 9 1 1 2 2 0132 2310 0132 2310 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 1 0 -1 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 1.666279553563 1.227532871398 0 3 4 0 0132 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 -1 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 0 -1 1 0 0 1 -1 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.710343768084 0.369844510369 0 5 5 0 3201 0132 3201 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.350692151107 0.214807581233 6 1 6 7 0132 0132 0321 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 -1 0 1 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 0.556403666730 0.447224676350 4 7 4 1 2310 0132 3201 0132 0 0 0 0 0 0 0 0 0 0 -1 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 -1 1 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 0.680861534076 0.806311290924 2 2 8 8 2310 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.554552869064 1.279127609336 3 7 3 8 0132 1023 0321 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.703200011283 1.601594682276 6 4 3 8 1023 0132 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.519490517667 0.153621593099 5 6 7 5 3201 1302 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.286836401134 0.892478044612 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_1001_1'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_0']), 'c_1001_2' : negation(d['c_0101_5']), 'c_1001_8' : d['c_0101_3'], 's_2_8' : d['1'], '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' : negation(d['1']), 's_0_8' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_8' : d['c_0011_8'], 'c_1100_5' : d['c_0011_8'], 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : d['c_0011_2'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : d['c_0011_8'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_8' : d['c_1001_0'], '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_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(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_8' : d['1'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_0']), 'c_0011_6' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_0101_7' : negation(d['c_0101_3']), 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_1']), 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0011_8'], 'c_0110_6' : d['c_0101_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_8, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 2474511593456410176/3825623839393073*c_1001_1^11 - 11233346678838591984/3825623839393073*c_1001_1^10 - 28795100606430747912/3825623839393073*c_1001_1^9 - 48701683345201657440/3825623839393073*c_1001_1^8 - 56423106425812677166/3825623839393073*c_1001_1^7 - 35312979939514395166/3825623839393073*c_1001_1^6 + 8469618125838462136/3825623839393073*c_1001_1^5 + 64540919860074481882/3825623839393073*c_1001_1^4 + 87053226193583412473/3825623839393073*c_1001_1^3 + 79133905790657028349/3825623839393073*c_1001_1^2 + 49658955303666654700/3825623839393073*c_1001_1 + 8306908429471238937/3825623839393073, c_0011_0 - 1, c_0011_2 + 12566636995472/72181581875341*c_1001_1^11 + 55462710669256/72181581875341*c_1001_1^10 + 131340179055848/72181581875341*c_1001_1^9 + 212543319981854/72181581875341*c_1001_1^8 + 242734577608446/72181581875341*c_1001_1^7 + 171121050453244/72181581875341*c_1001_1^6 + 20196094135472/72181581875341*c_1001_1^5 - 209267749788071/72181581875341*c_1001_1^4 - 379697393573039/72181581875341*c_1001_1^3 - 417990433701634/72181581875341*c_1001_1^2 - 382809169660953/72181581875341*c_1001_1 - 109571780786763/72181581875341, c_0011_8 - 6324898087376/72181581875341*c_1001_1^11 - 29102696398840/72181581875341*c_1001_1^10 - 86503246792336/72181581875341*c_1001_1^9 - 166116479480830/72181581875341*c_1001_1^8 - 211096779658004/72181581875341*c_1001_1^7 - 127956210373762/72181581875341*c_1001_1^6 + 58817181254780/72181581875341*c_1001_1^5 + 271646769533569/72181581875341*c_1001_1^4 + 323347166424268/72181581875341*c_1001_1^3 + 263831948034651/72181581875341*c_1001_1^2 + 94226120872469/72181581875341*c_1001_1 - 15742474128121/72181581875341, c_0101_0 - 14381619819552/72181581875341*c_1001_1^11 - 71549641015296/72181581875341*c_1001_1^10 - 184804853735000/72181581875341*c_1001_1^9 - 309208121162300/72181581875341*c_1001_1^8 - 337682118480742/72181581875341*c_1001_1^7 - 169280171589472/72181581875341*c_1001_1^6 + 143897233820638/72181581875341*c_1001_1^5 + 467520405899060/72181581875341*c_1001_1^4 + 557873753386465/72181581875341*c_1001_1^3 + 368056066254314/72181581875341*c_1001_1^2 + 171966936050034/72181581875341*c_1001_1 - 16464690812082/72181581875341, c_0101_1 - 84559191463104/72181581875341*c_1001_1^11 - 372967093591728/72181581875341*c_1001_1^10 - 934678906440104/72181581875341*c_1001_1^9 - 1541261739216864/72181581875341*c_1001_1^8 - 1726333995382174/72181581875341*c_1001_1^7 - 986883148286058/72181581875341*c_1001_1^6 + 402688076304844/72181581875341*c_1001_1^5 + 2121912398395834/72181581875341*c_1001_1^4 + 2664160046514639/72181581875341*c_1001_1^3 + 2326843551758663/72181581875341*c_1001_1^2 + 1419793439884801/72181581875341*c_1001_1 + 160281624193925/72181581875341, c_0101_3 - 27948890891152/72181581875341*c_1001_1^11 - 126166074855336/72181581875341*c_1001_1^10 - 325375594708840/72181581875341*c_1001_1^9 - 564336522702950/72181581875341*c_1001_1^8 - 695699565044610/72181581875341*c_1001_1^7 - 509508839414606/72181581875341*c_1001_1^6 - 19938343834340/72181581875341*c_1001_1^5 + 678211347030071/72181581875341*c_1001_1^4 + 1050269542708871/72181581875341*c_1001_1^3 + 1040322138469193/72181581875341*c_1001_1^2 + 709901066424749/72181581875341*c_1001_1 + 176094440200959/72181581875341, c_0101_5 - 13523396112176/72181581875341*c_1001_1^11 - 81639658115064/72181581875341*c_1001_1^10 - 251308521818776/72181581875341*c_1001_1^9 - 505483057517218/72181581875341*c_1001_1^8 - 684894185783150/72181581875341*c_1001_1^7 - 561428257663122/72181581875341*c_1001_1^6 - 62239353931756/72181581875341*c_1001_1^5 + 602298785460487/72181581875341*c_1001_1^4 + 1032841212615205/72181581875341*c_1001_1^3 + 973556344644797/72181581875341*c_1001_1^2 + 633260599128546/72181581875341*c_1001_1 + 183987713734101/72181581875341, c_1001_0 + c_1001_1 + 1, c_1001_1^12 + 11/2*c_1001_1^11 + 16*c_1001_1^10 + 247/8*c_1001_1^9 + 167/4*c_1001_1^8 + 145/4*c_1001_1^7 + 83/8*c_1001_1^6 - 469/16*c_1001_1^5 - 241/4*c_1001_1^4 - 527/8*c_1001_1^3 - 815/16*c_1001_1^2 - 91/4*c_1001_1 - 53/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.250 seconds, Total memory usage: 32.09MB