Magma V2.19-8 Tue Aug 20 2013 23:55:25 on localhost [Seed = 3701126274] Type ? for help. Type -D to quit. Loading file "L14a20470__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14a20470 geometric_solution 9.09058616 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 0321 1 0 0 0 0 0 0 0 0 0 1 -1 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 -1 0 1 -1 0 -5 6 -6 0 0 6 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.488382875212 0.529367146138 0 0 2 4 0132 0321 1302 0132 1 0 0 0 0 0 -1 1 0 0 0 0 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 -1 7 -6 1 0 0 -1 0 -6 0 6 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.345042094765 0.808344314678 1 0 5 3 2031 0132 0132 3012 1 1 0 0 0 0 0 0 1 0 -1 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 1 -1 0 -7 0 7 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.108040698057 0.741494717699 5 4 2 0 1230 0132 1230 0132 1 0 0 1 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 0 0 0 0 -5 5 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.216752098643 0.726068753444 6 3 1 7 0132 0132 0132 0132 1 0 1 0 0 0 -1 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 0 6 -6 -1 0 1 0 0 0 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.419200604040 1.045916087413 8 3 6 2 0132 3012 3012 0132 1 1 0 0 0 0 0 0 0 0 -1 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 -1 1 0 0 7 -7 0 0 0 0 1 5 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.405793487690 0.730761670715 4 5 9 8 0132 1230 0132 0321 1 0 0 1 0 1 -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 0 0 0 0 -7 6 1 1 0 -1 0 -6 6 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.472855007496 0.925643454013 9 10 4 8 2103 0132 0132 1302 1 0 1 1 0 1 -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 0 0 0 0 -6 6 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.122940427579 1.143580563667 5 6 7 9 0132 0321 2031 2310 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 -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 0.074039456391 0.605833169280 8 10 7 6 3201 0321 2103 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 6 -6 -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 -0.302300915017 0.296590706797 11 7 11 9 0132 0132 2310 0321 1 1 1 1 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 6 -6 0 0 0 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.374612227615 0.687765068090 10 10 11 11 0132 3201 2031 1302 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.445753206947 0.057574162089 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_5'], 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : d['c_1001_3'], 'c_1001_6' : d['c_1001_3'], 'c_1001_1' : d['c_0110_2'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_0110_7']), 'c_1010_11' : d['c_0011_9'], 'c_1010_10' : d['c_1001_3'], '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_9']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(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_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' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : negation(d['c_0011_10']), 'c_1100_8' : d['c_0011_9'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : d['c_0101_2'], 'c_1100_6' : negation(d['c_0110_7']), 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : negation(d['c_1001_3']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_9']), 'c_1100_10' : negation(d['c_0011_10']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_1001_3'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : negation(d['c_0101_3']), 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_0101_5'], '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' : 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' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : 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_10'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_0' : d['c_0011_0'], 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0011_5'], 'c_0101_9' : negation(d['c_0101_5']), 'c_0101_8' : d['c_0101_2'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_5']), 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0011_5'], 'c_1100_9' : negation(d['c_0110_7']), 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_7' : d['c_0110_7'], 'c_0011_10' : d['c_0011_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_3, c_0011_5, c_0011_9, c_0101_10, c_0101_2, c_0101_3, c_0101_5, c_0110_2, c_0110_7, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 24316782869796513/107461493742889*c_1001_3^17 - 163062081084394080/107461493742889*c_1001_3^16 + 583874088042768511/107461493742889*c_1001_3^15 - 1423257860642624997/107461493742889*c_1001_3^14 + 309489438414255459/12642528675634*c_1001_3^13 - 435159920107248433/11311736183462*c_1001_3^12 + 879340756964662219/16532537498906*c_1001_3^11 - 6802954970905546862/107461493742889*c_1001_3^10 + 6343018884220173426/107461493742889*c_1001_3^9 - 7555502472202319541/214922987485778*c_1001_3^8 + 48937701803407315/16532537498906*c_1001_3^7 + 240076811800424194/8266268749453*c_1001_3^6 - 5404306153630173334/107461493742889*c_1001_3^5 + 6048578188524689936/107461493742889*c_1001_3^4 - 9760605919554175965/214922987485778*c_1001_3^3 + 4968550833962894887/214922987485778*c_1001_3^2 - 1844379450606952861/214922987485778*c_1001_3 - 21274128256136089/214922987485778, c_0011_0 - 1, c_0011_10 - 53401/17645*c_1001_3^17 + 84129/7058*c_1001_3^16 - 533276/17645*c_1001_3^15 + 1667403/35290*c_1001_3^14 - 1039068/17645*c_1001_3^13 + 2691217/35290*c_1001_3^12 - 1142529/17645*c_1001_3^11 + 1273267/35290*c_1001_3^10 + 2772337/35290*c_1001_3^9 - 3664207/35290*c_1001_3^8 + 4043659/35290*c_1001_3^7 - 3382971/35290*c_1001_3^6 + 814319/35290*c_1001_3^5 - 116009/17645*c_1001_3^4 - 404679/3529*c_1001_3^3 + 94763/7058*c_1001_3^2 - 712067/17645*c_1001_3 - 989479/35290, c_0011_3 - 1618171/829315*c_1001_3^17 + 1310908/165863*c_1001_3^16 - 34161697/1658630*c_1001_3^15 + 56023443/1658630*c_1001_3^14 - 73956941/1658630*c_1001_3^13 + 49321801/829315*c_1001_3^12 - 46802029/829315*c_1001_3^11 + 68134117/1658630*c_1001_3^10 + 54585717/1658630*c_1001_3^9 - 48067231/829315*c_1001_3^8 + 62998872/829315*c_1001_3^7 - 60174928/829315*c_1001_3^6 + 53203499/1658630*c_1001_3^5 - 35746183/1658630*c_1001_3^4 - 19959997/331726*c_1001_3^3 + 1889633/331726*c_1001_3^2 - 22665007/829315*c_1001_3 - 13351072/829315, c_0011_5 - 1618171/829315*c_1001_3^17 + 1310908/165863*c_1001_3^16 - 34161697/1658630*c_1001_3^15 + 56023443/1658630*c_1001_3^14 - 73956941/1658630*c_1001_3^13 + 49321801/829315*c_1001_3^12 - 46802029/829315*c_1001_3^11 + 68134117/1658630*c_1001_3^10 + 54585717/1658630*c_1001_3^9 - 48067231/829315*c_1001_3^8 + 62998872/829315*c_1001_3^7 - 60174928/829315*c_1001_3^6 + 53203499/1658630*c_1001_3^5 - 35746183/1658630*c_1001_3^4 - 19959997/331726*c_1001_3^3 + 1889633/331726*c_1001_3^2 - 21835692/829315*c_1001_3 - 14180387/829315, c_0011_9 - 1282568/829315*c_1001_3^17 + 742254/165863*c_1001_3^16 - 6430598/829315*c_1001_3^15 + 1391872/829315*c_1001_3^14 + 11347921/829315*c_1001_3^13 - 23809397/829315*c_1001_3^12 + 52881138/829315*c_1001_3^11 - 159957109/1658630*c_1001_3^10 + 256809501/1658630*c_1001_3^9 - 88465523/829315*c_1001_3^8 + 80177077/1658630*c_1001_3^7 + 33548697/1658630*c_1001_3^6 - 161189773/1658630*c_1001_3^5 + 82573493/829315*c_1001_3^4 - 24601895/165863*c_1001_3^3 + 6860065/331726*c_1001_3^2 - 43084737/1658630*c_1001_3 - 26616121/829315, c_0101_10 + 1303262/829315*c_1001_3^17 - 534956/165863*c_1001_3^16 + 1258432/829315*c_1001_3^15 + 14011097/829315*c_1001_3^14 - 41583664/829315*c_1001_3^13 + 70446708/829315*c_1001_3^12 - 119621632/829315*c_1001_3^11 + 159541838/829315*c_1001_3^10 - 208037242/829315*c_1001_3^9 + 125299732/829315*c_1001_3^8 - 31248364/829315*c_1001_3^7 - 65758579/829315*c_1001_3^6 + 156450311/829315*c_1001_3^5 - 155097662/829315*c_1001_3^4 + 37056851/165863*c_1001_3^3 - 5366184/165863*c_1001_3^2 + 23822319/829315*c_1001_3 + 37988964/829315, c_0101_2 + 1618171/829315*c_1001_3^17 - 1310908/165863*c_1001_3^16 + 34161697/1658630*c_1001_3^15 - 56023443/1658630*c_1001_3^14 + 73956941/1658630*c_1001_3^13 - 49321801/829315*c_1001_3^12 + 46802029/829315*c_1001_3^11 - 68134117/1658630*c_1001_3^10 - 54585717/1658630*c_1001_3^9 + 48067231/829315*c_1001_3^8 - 62998872/829315*c_1001_3^7 + 60174928/829315*c_1001_3^6 - 53203499/1658630*c_1001_3^5 + 35746183/1658630*c_1001_3^4 + 19959997/331726*c_1001_3^3 - 1889633/331726*c_1001_3^2 + 22665007/829315*c_1001_3 + 13351072/829315, c_0101_3 + 1, c_0101_5 - 3154486/829315*c_1001_3^17 + 6760297/331726*c_1001_3^16 - 105793657/1658630*c_1001_3^15 + 223786523/1658630*c_1001_3^14 - 183694823/829315*c_1001_3^13 + 268741316/829315*c_1001_3^12 - 676224543/1658630*c_1001_3^11 + 718035827/1658630*c_1001_3^10 - 239011409/829315*c_1001_3^9 + 41962649/829315*c_1001_3^8 + 150187302/829315*c_1001_3^7 - 594064901/1658630*c_1001_3^6 + 663303689/1658630*c_1001_3^5 - 598196653/1658630*c_1001_3^4 + 53671105/331726*c_1001_3^3 - 5503904/165863*c_1001_3^2 - 29532782/829315*c_1001_3 + 20206908/829315, c_0110_2 + 1618171/829315*c_1001_3^17 - 1310908/165863*c_1001_3^16 + 34161697/1658630*c_1001_3^15 - 56023443/1658630*c_1001_3^14 + 73956941/1658630*c_1001_3^13 - 49321801/829315*c_1001_3^12 + 46802029/829315*c_1001_3^11 - 68134117/1658630*c_1001_3^10 - 54585717/1658630*c_1001_3^9 + 48067231/829315*c_1001_3^8 - 62998872/829315*c_1001_3^7 + 60174928/829315*c_1001_3^6 - 53203499/1658630*c_1001_3^5 + 35746183/1658630*c_1001_3^4 + 19959997/331726*c_1001_3^3 - 1889633/331726*c_1001_3^2 + 21835692/829315*c_1001_3 + 13351072/829315, c_0110_7 - 7288689/1658630*c_1001_3^17 + 7960767/331726*c_1001_3^16 - 62911887/829315*c_1001_3^15 + 269059221/1658630*c_1001_3^14 - 444966277/1658630*c_1001_3^13 + 652668599/1658630*c_1001_3^12 - 826631791/1658630*c_1001_3^11 + 883450559/1658630*c_1001_3^10 - 605947681/1658630*c_1001_3^9 + 61111753/829315*c_1001_3^8 + 352099203/1658630*c_1001_3^7 - 718840567/1658630*c_1001_3^6 + 408872399/829315*c_1001_3^5 - 369486173/829315*c_1001_3^4 + 69975747/331726*c_1001_3^3 - 13708863/331726*c_1001_3^2 - 34002959/829315*c_1001_3 + 27657246/829315, c_1001_3^18 - 6*c_1001_3^17 + 21*c_1001_3^16 - 50*c_1001_3^15 + 92*c_1001_3^14 - 144*c_1001_3^13 + 195*c_1001_3^12 - 230*c_1001_3^11 + 205*c_1001_3^10 - 118*c_1001_3^9 - 13*c_1001_3^8 + 130*c_1001_3^7 - 200*c_1001_3^6 + 216*c_1001_3^5 - 154*c_1001_3^4 + 80*c_1001_3^3 - 3*c_1001_3^2 - 10*c_1001_3 + 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.420 seconds, Total memory usage: 32.09MB