Magma V2.19-8 Tue Aug 20 2013 16:18:13 on localhost [Seed = 3667609569] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2433 geometric_solution 5.78073207 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 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 1 0 -1 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 0.492914705237 0.318727993485 2 0 3 0 0132 2310 0132 0132 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 1 -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 1.076491146119 0.606321305397 1 4 3 5 0132 0132 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.063772645167 0.823399791639 5 2 4 1 1023 1230 1023 0132 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 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 1.063772645167 0.823399791639 4 2 3 4 3012 0132 1023 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.386357098522 0.603499630936 6 3 2 6 0132 1023 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 -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 0.745012986233 0.410125371528 5 6 6 5 0132 3201 2310 1023 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 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 1.143472313862 0.440625911304 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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' : negation(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' : negation(d['1']), 's_0_6' : 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' : d['1'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0011_1'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 1426420187955245/70495910930364*c_0101_6^11 - 303046152022946/17623977732591*c_0101_6^10 + 22722562942253941/35247955465182*c_0101_6^9 - 18973040005998967/17623977732591*c_0101_6^8 + 117823515338473829/70495910930364*c_0101_6^7 - 278053170396853873/70495910930364*c_0101_6^6 + 142159502817303071/70495910930364*c_0101_6^5 - 4943372379431335/5874659244197*c_0101_6^4 + 76193121775771103/70495910930364*c_0101_6^3 + 92098177059649519/70495910930364*c_0101_6^2 + 175383749508074/255419967139*c_0101_6 + 10813926985911175/70495910930364, c_0011_0 - 1, c_0011_1 - 79129853740/669264977187*c_0101_6^11 + 29768401894/223088325729*c_0101_6^10 - 2567130761576/669264977187*c_0101_6^9 + 4928950116242/669264977187*c_0101_6^8 - 8600347926449/669264977187*c_0101_6^7 + 18463276591199/669264977187*c_0101_6^6 - 14883827070035/669264977187*c_0101_6^5 + 1173986989249/74362775243*c_0101_6^4 - 8080932302998/669264977187*c_0101_6^3 - 281684688626/223088325729*c_0101_6^2 - 78190875224/29098477269*c_0101_6 - 254612260795/669264977187, c_0011_3 + 77738930221/1338529954374*c_0101_0*c_0101_6^11 - 21418702934/223088325729*c_0101_0*c_0101_6^10 + 1264933098526/669264977187*c_0101_0*c_0101_6^9 - 3072080600368/669264977187*c_0101_0*c_0101_6^8 + 9724237994165/1338529954374*c_0101_0*c_0101_6^7 - 20916614278427/1338529954374*c_0101_0*c_0101_6^6 + 19676401032239/1338529954374*c_0101_0*c_0101_6^5 - 582301699373/74362775243*c_0101_0*c_0101_6^4 + 7259741026399/1338529954374*c_0101_0*c_0101_6^3 + 1410961672577/446176651458*c_0101_0*c_0101_6^2 + 3733293283/29098477269*c_0101_0*c_0101_6 + 666266466373/1338529954374*c_0101_0, c_0101_0^2 + 79129853740/669264977187*c_0101_6^11 - 29768401894/223088325729*c_0101_6^10 + 2567130761576/669264977187*c_0101_6^9 - 4928950116242/669264977187*c_0101_6^8 + 8600347926449/669264977187*c_0101_6^7 - 18463276591199/669264977187*c_0101_6^6 + 14883827070035/669264977187*c_0101_6^5 - 1173986989249/74362775243*c_0101_6^4 + 8080932302998/669264977187*c_0101_6^3 + 281684688626/223088325729*c_0101_6^2 + 78190875224/29098477269*c_0101_6 - 414652716392/669264977187, c_0101_1 + 2515027568/223088325729*c_0101_6^11 - 537029048/74362775243*c_0101_6^10 + 83664825259/223088325729*c_0101_6^9 - 109506476947/223088325729*c_0101_6^8 + 306886097686/223088325729*c_0101_6^7 - 304016349409/223088325729*c_0101_6^6 + 208947586426/223088325729*c_0101_6^5 + 15848041260/74362775243*c_0101_6^4 - 870730907176/223088325729*c_0101_6^3 + 70123105976/74362775243*c_0101_6^2 - 20323190891/9699492423*c_0101_6 - 29870524831/223088325729, c_0101_3 - 12056938436/223088325729*c_0101_6^11 + 6638199830/74362775243*c_0101_6^10 - 401166083434/223088325729*c_0101_6^9 + 956262439648/223088325729*c_0101_6^8 - 1794918900580/223088325729*c_0101_6^7 + 3595412470810/223088325729*c_0101_6^6 - 3916191117589/223088325729*c_0101_6^5 + 1087788740268/74362775243*c_0101_6^4 - 2280575240768/223088325729*c_0101_6^3 + 212264691081/74362775243*c_0101_6^2 - 11929765855/9699492423*c_0101_6 - 125233993010/223088325729, c_0101_6^12 - c_0101_6^11 + 32*c_0101_6^10 - 58*c_0101_6^9 + 91*c_0101_6^8 - 208*c_0101_6^7 + 130*c_0101_6^6 - 59*c_0101_6^5 + 61*c_0101_6^4 + 56*c_0101_6^3 + 25*c_0101_6^2 + 3*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB