Magma V2.19-8 Wed Aug 21 2013 01:07:36 on localhost [Seed = 3835887103] Type ? for help. Type -D to quit. Loading file "L14n33505__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33505 geometric_solution 11.58100253 oriented_manifold CS_known 0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 1 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 0 0 0 0 0 -1 1 0 0 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.477222034250 0.760051531831 0 4 6 5 0132 0132 0132 0132 1 1 1 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 -8 8 0 0 0 0 -1 1 0 0 1 3 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.516112973587 0.274384561392 0 0 8 7 3012 0132 0132 0132 1 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 -1 0 1 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 0.614328134603 0.893153633746 5 6 9 0 0132 3201 0132 0132 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 -1 1 0 0 0 0 -9 8 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605781556177 0.745462961258 6 1 9 10 0321 0132 3201 0132 1 1 0 1 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 -9 9 0 0 0 0 3 -3 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.577501564020 0.562760884453 3 10 1 9 0132 2310 0132 3201 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 8 -8 0 0 0 0 0 -1 0 0 1 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.384240603889 0.820129326143 4 11 3 1 0321 0132 2310 0132 1 1 0 1 0 0 1 -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 0 -8 8 -1 0 1 0 -3 -1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.397132006389 0.604907601021 12 11 2 12 0132 2310 0132 1302 1 1 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 0 0 0 0 0 0 0 0 0 0 0.234210742062 0.776913032446 10 11 12 2 1230 1230 3012 0132 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 -8 0 9 -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 0.282592298750 0.538665468758 4 5 12 3 2310 2310 1230 0132 1 1 1 1 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 -1 0 1 0 0 0 0 0 0 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.143321483896 0.964486339796 11 8 4 5 0213 3012 0132 3201 1 1 1 0 0 0 1 -1 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 -9 9 0 0 0 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.962067049727 0.732591325023 10 6 8 7 0213 0132 3012 3201 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.801244202558 0.841058757601 7 8 7 9 0132 1230 2031 3012 1 1 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 0 0 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.217700295297 0.685602791684 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_8']), 'c_1001_10' : negation(d['c_0011_8']), 'c_1001_12' : negation(d['c_0101_12']), 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_0101_8'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_1001_0']), 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : d['c_0110_10'], 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : d['c_0101_8'], 'c_1010_11' : negation(d['c_1001_0']), 'c_1010_10' : negation(d['c_0101_8']), '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_0011_10'], 'c_0101_10' : d['c_0011_11'], '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_1100_8' : d['c_0101_12'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : d['c_0101_12'], 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_0101_12'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_7'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : d['c_0011_3'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_10'], 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : negation(d['c_0110_10']), 'c_1010_4' : negation(d['c_0011_8']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : d['c_0011_10'], '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' : negation(d['c_0110_10']), '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_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_11']), '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' : negation(d['c_0110_10']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_8']), 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : negation(d['c_0011_0'])})} 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_8, c_0101_0, c_0101_12, c_0101_3, c_0101_7, c_0101_8, c_0110_10, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 25405054344794340618488/183359259760186265*c_1001_0^11 - 16794248932416336675404/183359259760186265*c_1001_0^10 + 219537585716365401055428/183359259760186265*c_1001_0^9 + 464034241108261619571656/183359259760186265*c_1001_0^8 + 16970203500897108198178/183359259760186265*c_1001_0^7 - 1064557702747663901083829/183359259760186265*c_1001_0^6 - 534750241695244442694089/73343703904074506*c_1001_0^5 - 667168903918219070790431/733437039040745060*c_1001_0^4 + 125562336180861215360537/20955343972592716*c_1001_0^3 + 4711383487008636393243767/733437039040745060*c_1001_0^2 + 237406647782214534300071/83821375890370864*c_1001_0 + 1383411701872323453166063/2933748156162980240, c_0011_0 - 1, c_0011_10 + 127225544388032/11825814882953*c_1001_0^11 + 86779079911136/11825814882953*c_1001_0^10 - 1092446578182688/11825814882953*c_1001_0^9 - 2348927425239264/11825814882953*c_1001_0^8 - 176559905996496/11825814882953*c_1001_0^7 + 5281365151688808/11825814882953*c_1001_0^6 + 6855155278371260/11825814882953*c_1001_0^5 + 1124957729042094/11825814882953*c_1001_0^4 - 5419944069323374/11825814882953*c_1001_0^3 - 6100217216991338/11825814882953*c_1001_0^2 - 5652574207308033/23651629765906*c_1001_0 - 1022301905083021/23651629765906, c_0011_11 - 197047010131776/11825814882953*c_1001_0^11 - 241323270118176/11825814882953*c_1001_0^10 + 1689422275795808/11825814882953*c_1001_0^9 + 4563080861683392/11825814882953*c_1001_0^8 + 1639431450558032/11825814882953*c_1001_0^7 - 8971282849276584/11825814882953*c_1001_0^6 - 14603084829562572/11825814882953*c_1001_0^5 - 4883430971982362/11825814882953*c_1001_0^4 + 9623433354776586/11825814882953*c_1001_0^3 + 13298447133985952/11825814882953*c_1001_0^2 + 13990835903487363/23651629765906*c_1001_0 + 2836131127334321/23651629765906, c_0011_12 - 159628663544128/11825814882953*c_1001_0^11 - 110101327291040/11825814882953*c_1001_0^10 + 1371645624428000/11825814882953*c_1001_0^9 + 2963000439849984/11825814882953*c_1001_0^8 + 225837514412512/11825814882953*c_1001_0^7 - 6688142968778584/11825814882953*c_1001_0^6 - 8678564604030148/11825814882953*c_1001_0^5 - 1377792463880634/11825814882953*c_1001_0^4 + 6928084034582686/11825814882953*c_1001_0^3 + 7706348130745520/11825814882953*c_1001_0^2 + 7040944364513851/23651629765906*c_1001_0 + 1234949683354011/23651629765906, c_0011_3 + 125306851115776/11825814882953*c_1001_0^11 + 128027896529408/11825814882953*c_1001_0^10 - 1073452350762048/11825814882953*c_1001_0^9 - 2682050018408448/11825814882953*c_1001_0^8 - 731189297457824/11825814882953*c_1001_0^7 + 5498774800142224/11825814882953*c_1001_0^6 + 8362398224251728/11825814882953*c_1001_0^5 + 2429346921929580/11825814882953*c_1001_0^4 - 5796756439985532/11825814882953*c_1001_0^3 - 7583531351682942/11825814882953*c_1001_0^2 - 3895407294906651/11825814882953*c_1001_0 - 779499210717928/11825814882953, c_0011_8 - 52663290629600/11825814882953*c_1001_0^11 - 112250886530480/11825814882953*c_1001_0^10 + 445373725621072/11825814882953*c_1001_0^9 + 1632150238205728/11825814882953*c_1001_0^8 + 1089994637802568/11825814882953*c_1001_0^7 - 2682183377778948/11825814882953*c_1001_0^6 - 5708866058320106/11825814882953*c_1001_0^5 - 2887618507020927/11825814882953*c_1001_0^4 + 2989144316476871/11825814882953*c_1001_0^3 + 5332406639234301/11825814882953*c_1001_0^2 + 12749807264934413/47303259531812*c_1001_0 + 2916497501073719/47303259531812, c_0101_0 - 1, c_0101_12 + 72086971243008/11825814882953*c_1001_0^11 + 41163425488512/11825814882953*c_1001_0^10 - 620671806247488/11825814882953*c_1001_0^9 - 1261649695941792/11825814882953*c_1001_0^8 + 17925027460752/11825814882953*c_1001_0^7 + 2950972826161040/11825814882953*c_1001_0^6 + 3550119079386688/11825814882953*c_1001_0^5 + 323869538309424/11825814882953*c_1001_0^4 - 2988860422660492/11825814882953*c_1001_0^3 - 3088539017989492/11825814882953*c_1001_0^2 - 1334130241650624/11825814882953*c_1001_0 - 220298916560101/11825814882953, c_0101_3 + 72643560486176/11825814882953*c_1001_0^11 + 15777009998928/11825814882953*c_1001_0^10 - 628078625140976/11825814882953*c_1001_0^9 - 1049899780202720/11825814882953*c_1001_0^8 + 358805340344744/11825814882953*c_1001_0^7 + 2816591422363276/11825814882953*c_1001_0^6 + 2653532165931622/11825814882953*c_1001_0^5 - 458271585091347/11825814882953*c_1001_0^4 - 2807612123508661/11825814882953*c_1001_0^3 - 2251124712448641/11825814882953*c_1001_0^2 - 2831821914692191/47303259531812*c_1001_0 - 201499341797993/47303259531812, c_0101_7 + 127225544388032/11825814882953*c_1001_0^11 + 86779079911136/11825814882953*c_1001_0^10 - 1092446578182688/11825814882953*c_1001_0^9 - 2348927425239264/11825814882953*c_1001_0^8 - 176559905996496/11825814882953*c_1001_0^7 + 5281365151688808/11825814882953*c_1001_0^6 + 6855155278371260/11825814882953*c_1001_0^5 + 1124957729042094/11825814882953*c_1001_0^4 - 5419944069323374/11825814882953*c_1001_0^3 - 6100217216991338/11825814882953*c_1001_0^2 - 5676225837073939/23651629765906*c_1001_0 - 1022301905083021/23651629765906, c_0101_8 + 72643560486176/11825814882953*c_1001_0^11 + 15777009998928/11825814882953*c_1001_0^10 - 628078625140976/11825814882953*c_1001_0^9 - 1049899780202720/11825814882953*c_1001_0^8 + 358805340344744/11825814882953*c_1001_0^7 + 2816591422363276/11825814882953*c_1001_0^6 + 2653532165931622/11825814882953*c_1001_0^5 - 458271585091347/11825814882953*c_1001_0^4 - 2807612123508661/11825814882953*c_1001_0^3 - 2251124712448641/11825814882953*c_1001_0^2 - 2831821914692191/47303259531812*c_1001_0 - 201499341797993/47303259531812, c_0110_10 + 72643560486176/11825814882953*c_1001_0^11 + 15777009998928/11825814882953*c_1001_0^10 - 628078625140976/11825814882953*c_1001_0^9 - 1049899780202720/11825814882953*c_1001_0^8 + 358805340344744/11825814882953*c_1001_0^7 + 2816591422363276/11825814882953*c_1001_0^6 + 2653532165931622/11825814882953*c_1001_0^5 - 458271585091347/11825814882953*c_1001_0^4 - 2807612123508661/11825814882953*c_1001_0^3 - 2251124712448641/11825814882953*c_1001_0^2 - 2879125174224003/47303259531812*c_1001_0 - 248802601329805/47303259531812, c_1001_0^12 + 3/2*c_1001_0^11 - 8*c_1001_0^10 - 51/2*c_1001_0^9 - 67/4*c_1001_0^8 + 321/8*c_1001_0^7 + 1413/16*c_1001_0^6 + 1731/32*c_1001_0^5 - 557/16*c_1001_0^4 - 167/2*c_1001_0^3 - 8023/128*c_1001_0^2 - 1469/64*c_1001_0 - 443/128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.450 Total time: 0.660 seconds, Total memory usage: 32.09MB