Magma V2.19-8 Wed Aug 21 2013 00:22:10 on localhost [Seed = 3516384146] Type ? for help. Type -D to quit. Loading file "K14n11821__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n11821 geometric_solution 11.08207670 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 13 1 2 2 1 0132 0132 1230 2031 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 0 0 0 0 0 0 0 -6 0 1 5 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.217126986020 0.674001202787 0 0 4 3 0132 1302 0132 0132 0 0 0 0 0 1 -1 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 -5 5 0 6 0 -6 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 0.566977327423 1.344180230657 5 0 6 0 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 0 0 0 0 0 0 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.733598812274 0.631579417104 7 5 1 8 0132 3201 0132 0132 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 0 0 0 0 0 0 0 6 0 0 -6 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.067029468288 0.561547335847 7 9 10 1 1302 0132 0132 0132 0 0 0 0 0 -1 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 0 0 0 0 5 0 -5 -6 0 0 6 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.435160200911 1.212028027007 2 6 3 11 0132 3120 2310 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 0.855580852320 0.668242090555 9 5 7 2 3120 3120 1230 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 -1 0 0 1 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.350024294709 0.362346769381 3 4 8 6 0132 2031 3012 3012 0 0 0 0 0 0 -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 6 -6 0 0 0 0 -1 1 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.006933375331 1.999828392538 12 7 3 10 0132 1230 0132 0132 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 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.851079481216 0.586378815520 11 4 12 6 0132 0132 3012 3120 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 -5 -1 6 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 1.102993279609 1.160589975476 11 12 8 4 3012 1302 0132 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 0.379660686335 0.827760745890 9 12 5 10 0132 1230 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.919508255716 0.984244222143 8 9 11 10 0132 1230 3012 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 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 1.505211889038 0.270437636275 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_6']), 'c_1001_10' : d['c_0101_7'], 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : d['c_0011_12'], 'c_1001_6' : negation(d['c_1001_5']), 'c_1001_1' : negation(d['c_0011_12']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : negation(d['c_1001_5']), 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : negation(d['c_0011_6']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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' : d['1'], 's_2_12' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_1001_5'], 'c_1100_6' : d['c_0101_0'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_1100_1'], 'c_1100_2' : d['c_0101_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_3'], 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0011_12']), 'c_1010_3' : negation(d['c_1001_5']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_0101_7'], 'c_1100_8' : d['c_1100_1'], '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'], 'c_1100_12' : d['c_0011_6'], '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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_6'], '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_0011_10'], 'c_0110_10' : d['c_0011_3'], 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0101_10'], 'c_0110_0' : negation(d['c_0011_12']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : negation(d['c_0011_12']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_11'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0011_12']), 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_5, c_0101_7, c_1001_5, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 81436188850513613/53445451006645663*c_1100_1^15 + 41538595266899383/53445451006645663*c_1100_1^14 + 10169285371456990/7635064429520809*c_1100_1^13 + 5918015884224812/7635064429520809*c_1100_1^12 - 652509306283000169/7635064429520809*c_1100_1^11 - 332096026092271436/7635064429520809*c_1100_1^10 + 20042169618387722628/53445451006645663*c_1100_1^9 + 9937144330702871599/53445451006645663*c_1100_1^8 - 4982679713761499044/53445451006645663*c_1100_1^7 - 1318392098469679384/53445451006645663*c_1100_1^6 - 20634068448587780930/53445451006645663*c_1100_1^5 - 10704419587620914569/53445451006645663*c_1100_1^4 + 13380651778490716044/53445451006645663*c_1100_1^3 + 5593680315956311703/53445451006645663*c_1100_1^2 - 170021623706269492/53445451006645663*c_1100_1 + 639795746243356159/53445451006645663, c_0011_0 - 1, c_0011_10 + 1323139534/7892778299*c_1100_1^14 + 167473630/1127539757*c_1100_1^12 - 10605774122/1127539757*c_1100_1^10 + 324671187060/7892778299*c_1100_1^8 - 74832827775/7892778299*c_1100_1^6 - 344455444702/7892778299*c_1100_1^4 + 206971226221/7892778299*c_1100_1^2 + 10564852469/7892778299, c_0011_11 - 1359407633/7892778299*c_1100_1^14 - 185913074/1127539757*c_1100_1^12 + 10871220641/1127539757*c_1100_1^10 - 328277020767/7892778299*c_1100_1^8 + 57975175264/7892778299*c_1100_1^6 + 340109824332/7892778299*c_1100_1^4 - 192798541562/7892778299*c_1100_1^2 - 11714612178/7892778299, c_0011_12 - 447069335/7892778299*c_1100_1^14 - 48485278/1127539757*c_1100_1^12 + 3600313274/1127539757*c_1100_1^10 - 112756835253/7892778299*c_1100_1^8 + 35459163479/7892778299*c_1100_1^6 + 125431755963/7892778299*c_1100_1^4 - 72004597764/7892778299*c_1100_1^2 - 8482667836/7892778299, c_0011_3 + 2248645512/7892778299*c_1100_1^15 - 1359407633/7892778299*c_1100_1^14 + 311155395/1127539757*c_1100_1^13 - 185913074/1127539757*c_1100_1^12 - 17994582199/1127539757*c_1100_1^11 + 10871220641/1127539757*c_1100_1^10 + 541388581021/7892778299*c_1100_1^9 - 328277020767/7892778299*c_1100_1^8 - 83947228668/7892778299*c_1100_1^7 + 57975175264/7892778299*c_1100_1^6 - 584962736600/7892778299*c_1100_1^5 + 340109824332/7892778299*c_1100_1^4 + 302115899973/7892778299*c_1100_1^3 - 192798541562/7892778299*c_1100_1^2 + 30698635549/7892778299*c_1100_1 - 11714612178/7892778299, c_0011_6 + 1359407633/7892778299*c_1100_1^14 + 185913074/1127539757*c_1100_1^12 - 10871220641/1127539757*c_1100_1^10 + 328277020767/7892778299*c_1100_1^8 - 57975175264/7892778299*c_1100_1^6 - 340109824332/7892778299*c_1100_1^4 + 192798541562/7892778299*c_1100_1^2 + 11714612178/7892778299, c_0101_0 + 3548058579/7892778299*c_1100_1^15 + 469648107/1127539757*c_1100_1^13 - 28418296541/1127539757*c_1100_1^11 + 862638089287/7892778299*c_1100_1^9 - 166432834621/7892778299*c_1100_1^7 - 929258711571/7892778299*c_1100_1^5 + 530842561240/7892778299*c_1100_1^3 + 41002966188/7892778299*c_1100_1, c_0101_10 - 3991711336/7892778299*c_1100_1^15 + 447069335/7892778299*c_1100_1^14 - 504380948/1127539757*c_1100_1^13 + 48485278/1127539757*c_1100_1^12 + 31998655352/1127539757*c_1100_1^11 - 3600313274/1127539757*c_1100_1^10 - 979809996953/7892778299*c_1100_1^9 + 112756835253/7892778299*c_1100_1^8 + 226325861931/7892778299*c_1100_1^7 - 35459163479/7892778299*c_1100_1^6 + 1041029371678/7892778299*c_1100_1^5 - 125431755963/7892778299*c_1100_1^4 - 624362149029/7892778299*c_1100_1^3 + 72004597764/7892778299*c_1100_1^2 - 29442495317/7892778299*c_1100_1 + 8482667836/7892778299, c_0101_11 + 447069335/7892778299*c_1100_1^14 + 48485278/1127539757*c_1100_1^12 - 3600313274/1127539757*c_1100_1^10 + 112756835253/7892778299*c_1100_1^8 - 35459163479/7892778299*c_1100_1^6 - 125431755963/7892778299*c_1100_1^4 + 72004597764/7892778299*c_1100_1^2 + 8482667836/7892778299, c_0101_5 - 693888964/1127539757*c_1100_1^15 - 620642351/1127539757*c_1100_1^13 + 38939957130/1127539757*c_1100_1^11 - 169928554059/1127539757*c_1100_1^9 + 37135813359/1127539757*c_1100_1^7 + 183674687745/1127539757*c_1100_1^5 - 107919277498/1127539757*c_1100_1^3 - 6880856694/1127539757*c_1100_1, c_0101_7 - 3991711336/7892778299*c_1100_1^15 + 1146343131/7892778299*c_1100_1^14 - 504380948/1127539757*c_1100_1^13 + 145317793/1127539757*c_1100_1^12 + 31998655352/1127539757*c_1100_1^11 - 9196562653/1127539757*c_1100_1^10 - 979809996953/7892778299*c_1100_1^9 + 281065768497/7892778299*c_1100_1^8 + 226325861931/7892778299*c_1100_1^7 - 61382729099/7892778299*c_1100_1^6 + 1041029371678/7892778299*c_1100_1^5 - 307882879540/7892778299*c_1100_1^4 - 624362149029/7892778299*c_1100_1^3 + 164338612407/7892778299*c_1100_1^2 - 21549717018/7892778299*c_1100_1 + 18274499841/7892778299, c_1001_5 + 3731189506/7892778299*c_1100_1^15 - 2248645512/7892778299*c_1100_1^14 + 470553039/1127539757*c_1100_1^13 - 311155395/1127539757*c_1100_1^12 - 29905499794/1127539757*c_1100_1^11 + 17994582199/1127539757*c_1100_1^10 + 916270861123/7892778299*c_1100_1^9 - 541388581021/7892778299*c_1100_1^8 - 215349050067/7892778299*c_1100_1^7 + 83947228668/7892778299*c_1100_1^6 - 964338308550/7892778299*c_1100_1^5 + 584962736600/7892778299*c_1100_1^4 + 590855885058/7892778299*c_1100_1^3 - 302115899973/7892778299*c_1100_1^2 + 2216101841/7892778299*c_1100_1 - 30698635549/7892778299, c_1100_1^16 + c_1100_1^14 - 56*c_1100_1^12 + 239*c_1100_1^10 - 29*c_1100_1^8 - 265*c_1100_1^6 + 128*c_1100_1^4 + 21*c_1100_1^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 3.230 Total time: 3.430 seconds, Total memory usage: 64.12MB