Magma V2.19-8 Wed Aug 21 2013 01:01:42 on localhost [Seed = 3203966311] Type ? for help. Type -D to quit. Loading file "L14n13174__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13174 geometric_solution 11.57267334 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 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 0 0 0 0 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 0.929191616024 1.105809244849 0 5 3 6 0132 0132 3120 0132 1 1 1 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 -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 0.431660478843 0.625446351302 7 0 9 8 0132 0132 0132 0132 0 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.327525456109 0.646990594955 6 10 1 0 0132 0132 3120 0132 0 1 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 1 -1 0 1 0 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 0.596066885742 0.475790006899 11 5 0 7 0132 2031 0132 2031 0 1 1 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 -1 0 1 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 0.554603272960 0.530056244474 4 1 10 12 1302 0132 1023 0132 1 0 0 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 1 0 -1 1 0 -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 0.241139785292 0.878552158924 3 7 1 8 0132 1230 0132 1230 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 -1 0 0 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 1.213361376602 0.793086069198 2 4 6 11 0132 1302 3012 1023 1 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 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 0.374736590506 0.878115546341 6 11 2 9 3012 2103 0132 2310 0 1 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 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 1.883615398496 1.154095869745 8 12 12 2 3201 3012 1230 0132 0 1 0 1 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 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 -0.095175340753 0.561673950655 11 3 5 12 2031 0132 1023 3201 0 1 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 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 0.637618070397 1.463637785918 4 8 10 7 0132 2103 1302 1023 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 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 0.591557355538 1.751477248816 9 10 5 9 1230 2310 0132 3012 1 0 1 0 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 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 0.070423806912 0.559701366801 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_8'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : negation(d['c_0101_12']), 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_11'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_0101_12']), 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : negation(d['c_0011_8']), 'c_1010_11' : d['c_0101_2'], 'c_1010_10' : negation(d['c_1001_1']), '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' : negation(d['c_0011_10']), '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_12'], 'c_1100_4' : negation(d['c_0101_1']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0011_8']), 'c_1100_1' : negation(d['c_0011_8']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : d['c_0011_9'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_0011_12']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0011_11'], 'c_1010_2' : d['c_0011_11'], 'c_1010_1' : d['c_0101_10'], 'c_1010_0' : negation(d['c_0101_12']), 'c_1010_9' : negation(d['c_0101_12']), 'c_1010_8' : negation(d['c_0101_2']), 'c_1100_8' : d['c_0011_9'], '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_12'], '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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0011_8'], 'c_0110_12' : d['c_0011_9'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_8'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_8'], '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_2'], 'c_0110_8' : negation(d['c_0011_8']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_9'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0011_8']})} 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_8, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_2, c_0101_7, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 364034398023619573327456/161514903964247042787*c_1001_1^13 + 2822154438887281902170528/484544711892741128361*c_1001_1^12 + 122345285500931322729872/484544711892741128361*c_1001_1^11 - 2468970655768109547484724/161514903964247042787*c_1001_1^10 - 138261810321890965760636/28502630111337713433*c_1001_1^9 + 9322407622969394852424017/484544711892741128361*c_1001_1^8 + 463582480126480733042237/161514903964247042787*c_1001_1^7 - 22178572263591927818325599/1938178847570964513444*c_1001_1^6 + 650168842769792691351695/1938178847570964513444*c_1001_1^5 + 4331981063427700361362469/1938178847570964513444*c_1001_1^4 - 133962116730619062261757/646059615856988171148*c_1001_1^3 - 92534213072977731550489/1938178847570964513444*c_1001_1^2 + 55245318650073734171701/1938178847570964513444*c_1001_1 + 15802416866047451639005/1938178847570964513444, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 2008535280881986688/75721942786801239*c_1001_1^13 + 23960206380724040512/227165828360403717*c_1001_1^12 + 31803338070571891840/227165828360403717*c_1001_1^11 - 2620877719662122704/75721942786801239*c_1001_1^10 - 2510135758311121816/13362695785906101*c_1001_1^9 - 7930199000991470492/227165828360403717*c_1001_1^8 + 9118998622575572182/75721942786801239*c_1001_1^7 + 20051615475522949397/227165828360403717*c_1001_1^6 + 2004386302353785297/454331656720807434*c_1001_1^5 - 20558076396536023465/454331656720807434*c_1001_1^4 - 2395446987257115361/151443885573602478*c_1001_1^3 + 2480426665170789808/227165828360403717*c_1001_1^2 + 292048473753969479/227165828360403717*c_1001_1 - 414743109915390215/454331656720807434, c_0011_12 + 783836522107337312/75721942786801239*c_1001_1^13 + 9757560794317931536/227165828360403717*c_1001_1^12 + 14176417088897579848/227165828360403717*c_1001_1^11 - 125766081715128448/75721942786801239*c_1001_1^10 - 997093240380842764/13362695785906101*c_1001_1^9 - 7260575176371214121/227165828360403717*c_1001_1^8 + 5862341560695779429/151443885573602478*c_1001_1^7 + 22339368441052728469/454331656720807434*c_1001_1^6 + 5483728794130364573/454331656720807434*c_1001_1^5 - 4292506710298649075/227165828360403717*c_1001_1^4 - 782812316515227743/75721942786801239*c_1001_1^3 + 51466101177286427/454331656720807434*c_1001_1^2 + 708334003479373166/227165828360403717*c_1001_1 + 14347766462551286/227165828360403717, c_0011_8 + 4763469532194205760/75721942786801239*c_1001_1^13 + 46009415415989584480/227165828360403717*c_1001_1^12 + 40457971478965670128/227165828360403717*c_1001_1^11 - 16121386662713468128/75721942786801239*c_1001_1^10 - 3574692056216223352/13362695785906101*c_1001_1^9 + 32119577453080408186/227165828360403717*c_1001_1^8 + 12987856100387367559/75721942786801239*c_1001_1^7 + 14462030030148391961/227165828360403717*c_1001_1^6 - 8633326500272303522/227165828360403717*c_1001_1^5 - 16353337010930298305/227165828360403717*c_1001_1^4 + 2144237590218110818/75721942786801239*c_1001_1^3 + 1142147476184686609/227165828360403717*c_1001_1^2 - 213350976503061943/227165828360403717*c_1001_1 - 87864068914808140/227165828360403717, c_0011_9 + 1672790902737324512/75721942786801239*c_1001_1^13 + 19287871035640932016/227165828360403717*c_1001_1^12 + 23988024810692928952/227165828360403717*c_1001_1^11 - 3110917570127608840/75721942786801239*c_1001_1^10 - 2018362645696676020/13362695785906101*c_1001_1^9 - 4015264056633053489/227165828360403717*c_1001_1^8 + 13704835170003402479/151443885573602478*c_1001_1^7 + 15616207310373496166/227165828360403717*c_1001_1^6 + 2093750983668598295/454331656720807434*c_1001_1^5 - 9202438091257613876/227165828360403717*c_1001_1^4 - 1815708229201325185/151443885573602478*c_1001_1^3 + 1989213869429699879/454331656720807434*c_1001_1^2 + 790687049501339917/454331656720807434*c_1001_1 + 167347673628901285/454331656720807434, c_0101_0 - 1, c_0101_1 + 2294558579404765088/75721942786801239*c_1001_1^13 + 23292596922834526000/227165828360403717*c_1001_1^12 + 24163343425550292376/227165828360403717*c_1001_1^11 - 5708387071433597296/75721942786801239*c_1001_1^10 - 1829662091274221284/13362695785906101*c_1001_1^9 + 6612479234769331777/227165828360403717*c_1001_1^8 + 12174284428878576815/151443885573602478*c_1001_1^7 + 26165035447381081573/454331656720807434*c_1001_1^6 - 1799068267012989205/454331656720807434*c_1001_1^5 - 8061564192087262073/227165828360403717*c_1001_1^4 + 251785802161227931/75721942786801239*c_1001_1^3 + 414366428200036721/454331656720807434*c_1001_1^2 + 392627752643331920/227165828360403717*c_1001_1 - 10749574924694770/227165828360403717, c_0101_10 - 10498234305776128/494914658737263*c_1001_1^13 - 129355227028352192/1484743976211789*c_1001_1^12 - 169825604291442080/1484743976211789*c_1001_1^11 + 18485222057430032/494914658737263*c_1001_1^10 + 249877040500902160/1484743976211789*c_1001_1^9 + 12130543695665800/1484743976211789*c_1001_1^8 - 61992613849957526/494914658737263*c_1001_1^7 - 89603692789011631/1484743976211789*c_1001_1^6 + 15055685293419352/1484743976211789*c_1001_1^5 + 64480648330775809/1484743976211789*c_1001_1^4 + 3509120092560898/494914658737263*c_1001_1^3 - 24551145307828526/1484743976211789*c_1001_1^2 - 201739314953587/1484743976211789*c_1001_1 + 742730482763945/1484743976211789, c_0101_12 + 4268236243316993360/75721942786801239*c_1001_1^13 + 41243559861559008328/227165828360403717*c_1001_1^12 + 36158985871796854228/227165828360403717*c_1001_1^11 - 14878890740835229180/75721942786801239*c_1001_1^10 - 3385825761936852598/13362695785906101*c_1001_1^9 + 53504445772336347125/454331656720807434*c_1001_1^8 + 50287532246308524229/302887771147204956*c_1001_1^7 + 15176760500131971164/227165828360403717*c_1001_1^6 - 35352258974081864957/908663313441614868*c_1001_1^5 - 32986064139906678013/454331656720807434*c_1001_1^4 + 5683095872166845809/302887771147204956*c_1001_1^3 + 5926299905977230367/908663313441614868*c_1001_1^2 - 100524182580682039/908663313441614868*c_1001_1 - 203448923945821771/908663313441614868, c_0101_2 + 259531699469777824/25240647595600413*c_1001_1^13 + 3146716909616400656/75721942786801239*c_1001_1^12 + 4158319521063195272/75721942786801239*c_1001_1^11 - 360276366296375048/25240647595600413*c_1001_1^10 - 326706800199188420/4454231928635367*c_1001_1^9 - 454306470657752563/75721942786801239*c_1001_1^8 + 2527767841756746757/50481295191200826*c_1001_1^7 + 2256051533394090667/75721942786801239*c_1001_1^6 + 97225579065446129/75721942786801239*c_1001_1^5 - 2712951029919083603/151443885573602478*c_1001_1^4 - 97459956708205663/25240647595600413*c_1001_1^3 + 711424793517499717/151443885573602478*c_1001_1^2 + 38057096986028381/151443885573602478*c_1001_1 + 33418053544864048/75721942786801239, c_0101_7 - 952684033933231616/25240647595600413*c_1001_1^13 - 8916492566545314304/75721942786801239*c_1001_1^12 - 6653426129364214720/75721942786801239*c_1001_1^11 + 4168621319714324128/25240647595600413*c_1001_1^10 + 825713441961127120/4454231928635367*c_1001_1^9 - 7706992536726002416/75721942786801239*c_1001_1^8 - 3342825482976570808/25240647595600413*c_1001_1^7 - 3263783661781353038/75721942786801239*c_1001_1^6 + 3472323099497329283/75721942786801239*c_1001_1^5 + 4864255176823179983/75721942786801239*c_1001_1^4 - 368732404702098535/25240647595600413*c_1001_1^3 - 552436785911378065/75721942786801239*c_1001_1^2 - 278768335041088637/75721942786801239*c_1001_1 + 42545805963671278/75721942786801239, c_1001_1^14 + 19/6*c_1001_1^13 + 31/12*c_1001_1^12 - 23/6*c_1001_1^11 - 107/24*c_1001_1^10 + 245/96*c_1001_1^9 + 581/192*c_1001_1^8 + 169/192*c_1001_1^7 - 7/8*c_1001_1^6 - 31/24*c_1001_1^5 + 43/96*c_1001_1^4 + 13/96*c_1001_1^3 - 1/32*c_1001_1^2 - 1/192*c_1001_1 + 1/192 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.250 Total time: 0.460 seconds, Total memory usage: 32.09MB