Magma V2.19-8 Tue Aug 20 2013 23:39:56 on localhost [Seed = 2160518194] Type ? for help. Type -D to quit. Loading file "K14n21098__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n21098 geometric_solution 9.93468203 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 3 0132 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 -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 -0.011296457767 1.029843916804 0 4 3 5 0132 0132 2310 0132 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 0 0 -1 4 0 -3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.037857967486 2.082955010232 6 0 7 5 0132 0132 0132 1230 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 1 -1 0 0 0 0 0 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.364622486222 0.390480499129 8 1 0 0 0132 3201 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 1 0 -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 -0.011296457767 1.029843916804 9 1 6 8 0132 0132 2031 3012 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 -1 0 1 0 1 -1 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214504593037 0.502194181806 2 7 1 10 3012 2031 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 0 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.029351457768 0.645164662403 2 9 7 4 0132 0132 0321 1302 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 1 -1 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.920125460305 0.784026285277 5 8 6 2 1302 2310 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 -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 0.939265196871 1.142340740099 3 10 4 7 0132 2310 1230 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214504593037 0.502194181806 4 6 10 10 0132 0132 2310 1230 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 1 0 -1 0 -4 3 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.734972325035 0.926996765874 9 9 5 8 3012 3201 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 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 0.734972325035 0.926996765874 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_7'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : d['c_1001_8'], 'c_1001_8' : d['c_1001_8'], 'c_1010_10' : negation(d['c_1001_8']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : d['1'], 's_2_10' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : 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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_10'], 'c_1100_8' : negation(d['c_0011_7']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_1001_8']), 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : d['c_0101_10'], 'c_1100_10' : d['c_0011_3'], 'c_1010_7' : negation(d['c_0101_3']), 'c_1010_6' : d['c_1001_8'], 'c_1010_5' : d['c_0011_7'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_3']), 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : negation(d['c_0011_10']), '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' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : d['c_0101_2'], '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_10' : d['c_0011_10'], 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_10'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_7']), 'c_0101_8' : d['c_0101_0'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0011_7']), 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 12*c_1001_8^5 - 10*c_1001_8^4 + 183*c_1001_8^3 - 322*c_1001_8^2 + 321*c_1001_8 - 95, c_0011_0 - 1, c_0011_10 + 8*c_1001_8^5 - 20*c_1001_8^4 + 18*c_1001_8^3 - 10*c_1001_8 + 5, c_0011_3 - 1, c_0011_5 - 4*c_1001_8^5 + 10*c_1001_8^4 - 11*c_1001_8^3 + c_1001_8^2 + 5*c_1001_8 - 4, c_0011_7 + c_1001_8, c_0101_0 - 8*c_1001_8^5 + 16*c_1001_8^4 - 12*c_1001_8^3 - 3*c_1001_8^2 + 8*c_1001_8 - 3, c_0101_1 - 4*c_1001_8^4 + 6*c_1001_8^3 - 3*c_1001_8^2 - 3*c_1001_8 + 2, c_0101_10 - 12*c_1001_8^5 + 22*c_1001_8^4 - 17*c_1001_8^3 - 3*c_1001_8^2 + 10*c_1001_8 - 5, c_0101_2 - 4*c_1001_8^5 + 10*c_1001_8^4 - 11*c_1001_8^3 + c_1001_8^2 + 5*c_1001_8 - 3, c_0101_3 + 4*c_1001_8^5 - 10*c_1001_8^4 + 11*c_1001_8^3 - c_1001_8^2 - 5*c_1001_8 + 3, c_1001_8^6 - 5/2*c_1001_8^5 + 11/4*c_1001_8^4 - 3/4*c_1001_8^3 - c_1001_8^2 + c_1001_8 - 1/4 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 35884415/1443852*c_1001_8^9 - 90812549/721926*c_1001_8^8 + 53902157/160428*c_1001_8^7 - 392175211/721926*c_1001_8^6 + 871884563/1443852*c_1001_8^5 - 302809733/721926*c_1001_8^4 + 55857806/360963*c_1001_8^3 + 30614719/1443852*c_1001_8^2 - 25574203/481284*c_1001_8 + 16595081/1443852, c_0011_0 - 1, c_0011_10 + 28660/13369*c_1001_8^9 - 207989/26738*c_1001_8^8 + 446935/26738*c_1001_8^7 - 267100/13369*c_1001_8^6 + 253878/13369*c_1001_8^5 - 174425/26738*c_1001_8^4 + 48297/26738*c_1001_8^3 + 70105/26738*c_1001_8^2 + 8736/13369*c_1001_8 - 40863/26738, c_0011_3 - 1, c_0011_5 - 72665/13369*c_1001_8^9 + 541041/26738*c_1001_8^8 - 1146845/26738*c_1001_8^7 + 651423/13369*c_1001_8^6 - 559092/13369*c_1001_8^5 + 293919/26738*c_1001_8^4 - 60205/26738*c_1001_8^3 - 130443/26738*c_1001_8^2 - 41937/13369*c_1001_8 + 84743/26738, c_0011_7 + c_1001_8, c_0101_0 + 37035/13369*c_1001_8^9 - 292429/26738*c_1001_8^8 + 670223/26738*c_1001_8^7 - 424722/13369*c_1001_8^6 + 394925/13369*c_1001_8^5 - 280413/26738*c_1001_8^4 + 83581/26738*c_1001_8^3 + 100865/26738*c_1001_8^2 + 32112/13369*c_1001_8 - 24375/26738, c_0101_1 - 181495/26738*c_1001_8^9 + 353437/13369*c_1001_8^8 - 1541885/26738*c_1001_8^7 + 901339/13369*c_1001_8^6 - 1478599/26738*c_1001_8^5 + 154894/13369*c_1001_8^4 + 28658/13369*c_1001_8^3 - 238281/26738*c_1001_8^2 - 112129/26738*c_1001_8 + 89115/26738, c_0101_10 - 146995/26738*c_1001_8^9 + 296407/13369*c_1001_8^8 - 1347363/26738*c_1001_8^7 + 837480/13369*c_1001_8^6 - 1450687/26738*c_1001_8^5 + 210560/13369*c_1001_8^4 - 11228/13369*c_1001_8^3 - 182507/26738*c_1001_8^2 - 134359/26738*c_1001_8 + 105117/26738, c_0101_2 - 32545/26738*c_1001_8^9 + 102249/26738*c_1001_8^8 - 99459/13369*c_1001_8^7 + 86399/13369*c_1001_8^6 - 129539/26738*c_1001_8^5 - 41565/26738*c_1001_8^4 - 36335/26738*c_1001_8^3 - 16993/13369*c_1001_8^2 - 55233/26738*c_1001_8 + 1677/13369, c_0101_3 + 32545/26738*c_1001_8^9 - 102249/26738*c_1001_8^8 + 99459/13369*c_1001_8^7 - 86399/13369*c_1001_8^6 + 129539/26738*c_1001_8^5 + 41565/26738*c_1001_8^4 + 36335/26738*c_1001_8^3 + 16993/13369*c_1001_8^2 + 55233/26738*c_1001_8 - 1677/13369, c_1001_8^10 - 21/5*c_1001_8^9 + 49/5*c_1001_8^8 - 13*c_1001_8^7 + 61/5*c_1001_8^6 - 27/5*c_1001_8^5 + 6/5*c_1001_8^4 + c_1001_8^3 + 2/5*c_1001_8^2 - 4/5*c_1001_8 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.560 Total time: 0.770 seconds, Total memory usage: 32.09MB