Magma V2.19-8 Tue Aug 20 2013 16:16:56 on localhost [Seed = 4054871329] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1188 geometric_solution 5.06472134 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 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 -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 1.688825516039 1.187345481511 0 1 1 0 0132 3201 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.663570500448 0.209920402595 0 3 4 0 3201 0132 0132 0132 0 0 0 0 0 1 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 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 0.591097387465 0.346147806127 5 2 4 6 0132 0132 1302 0132 0 0 0 0 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 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 0.556698414640 0.397378642765 3 6 5 2 2031 1023 1023 0132 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 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 0.556698414640 0.397378642765 3 5 4 5 0132 1302 1023 2031 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 0 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 1.092607349860 1.279374226370 4 6 3 6 1023 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.710472353905 0.514792766854 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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_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_0_6' : 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_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0110_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0011_2'], 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0101_0, c_0101_1, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 2380270807427973/616849070835250*c_0110_6^12 + 14009484023375043/616849070835250*c_0110_6^11 - 155022436795013153/1233698141670500*c_0110_6^10 + 473675268131569747/1233698141670500*c_0110_6^9 - 1149205370374208711/1233698141670500*c_0110_6^8 + 443627572592231608/308424535417625*c_0110_6^7 - 858093456674881113/616849070835250*c_0110_6^6 - 581057528706485483/1233698141670500*c_0110_6^5 + 85256486882988263/49347925666820*c_0110_6^4 - 300654952493376793/246739628334100*c_0110_6^3 + 12712764480434467/49347925666820*c_0110_6^2 + 524634932705965571/1233698141670500*c_0110_6 - 27747314608079469/123369814167050, c_0011_0 - 1, c_0011_2 + 2107258160239/49347925666820*c_0110_6^12 - 10756669437319/49347925666820*c_0110_6^11 + 14957788578563/12336981416705*c_0110_6^10 - 80483194599339/24673962833410*c_0110_6^9 + 92969855544726/12336981416705*c_0110_6^8 - 232476498538879/24673962833410*c_0110_6^7 + 324629541984069/49347925666820*c_0110_6^6 + 151779444306278/12336981416705*c_0110_6^5 - 112203762976189/9869585133364*c_0110_6^4 + 33814267674461/9869585133364*c_0110_6^3 + 3383909319985/4934792566682*c_0110_6^2 - 54279392586871/12336981416705*c_0110_6 - 8347467193195/9869585133364, c_0011_4 - 12959974064999/246739628334100*c_0110_6^12 + 68988264969309/246739628334100*c_0110_6^11 - 96162601545183/61684907083525*c_0110_6^10 + 541086406886309/123369814167050*c_0110_6^9 - 642452189635396/61684907083525*c_0110_6^8 + 1773784720463079/123369814167050*c_0110_6^7 - 3085581449162469/246739628334100*c_0110_6^6 - 1303319879025101/123369814167050*c_0110_6^5 + 139115194605447/9869585133364*c_0110_6^4 - 357948290831577/49347925666820*c_0110_6^3 + 533176026825/2467396283341*c_0110_6^2 + 566276313091037/123369814167050*c_0110_6 + 40600722147173/49347925666820, c_0101_0 - 257061252109/9869585133364*c_0110_6^12 + 1243860890201/9869585133364*c_0110_6^11 - 1741261167427/2467396283341*c_0110_6^10 + 8904384137899/4934792566682*c_0110_6^9 - 10197590427047/2467396283341*c_0110_6^8 + 23475138704525/4934792566682*c_0110_6^7 - 30775262570091/9869585133364*c_0110_6^6 - 18299234101219/2467396283341*c_0110_6^5 + 32986133214623/9869585133364*c_0110_6^4 + 5313626804221/9869585133364*c_0110_6^3 - 2129942933243/4934792566682*c_0110_6^2 + 3327560472062/2467396283341*c_0110_6 + 13115170876601/9869585133364, c_0101_1 + 1114510236931/49347925666820*c_0110_6^12 - 6014216321881/49347925666820*c_0110_6^11 + 8333037584692/12336981416705*c_0110_6^10 - 47244709553911/24673962833410*c_0110_6^9 + 55570581196269/12336981416705*c_0110_6^8 - 152659357955811/24673962833410*c_0110_6^7 + 249341475240361/49347925666820*c_0110_6^6 + 129946172567589/24673962833410*c_0110_6^5 - 73648338465431/9869585133364*c_0110_6^4 + 28635020492361/9869585133364*c_0110_6^3 + 2127642816194/2467396283341*c_0110_6^2 - 76616036291383/24673962833410*c_0110_6 - 2459443085445/9869585133364, c_0101_5 - 10212879774813/123369814167050*c_0110_6^12 + 26399397166204/61684907083525*c_0110_6^11 - 147200865388292/61684907083525*c_0110_6^10 + 402221420972683/61684907083525*c_0110_6^9 - 942076439769829/61684907083525*c_0110_6^8 + 1229411314503648/61684907083525*c_0110_6^7 - 1941128009456903/123369814167050*c_0110_6^6 - 2511938031754799/123369814167050*c_0110_6^5 + 50726792105622/2467396283341*c_0110_6^4 - 201855306554109/24673962833410*c_0110_6^3 - 1378715173797/4934792566682*c_0110_6^2 + 894077637484013/123369814167050*c_0110_6 + 19547002982913/12336981416705, c_0110_6^13 - 6*c_0110_6^12 + 33*c_0110_6^11 - 102*c_0110_6^10 + 246*c_0110_6^9 - 382*c_0110_6^8 + 361*c_0110_6^7 + 133*c_0110_6^6 - 495*c_0110_6^5 + 290*c_0110_6^4 - 25*c_0110_6^3 - 126*c_0110_6^2 + 55*c_0110_6 + 25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB