Magma V2.19-8 Wed Aug 21 2013 00:56:44 on localhost [Seed = 274074320] Type ? for help. Type -D to quit. Loading file "L13n2830__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2830 geometric_solution 11.62687349 oriented_manifold CS_known -0.0000000000000012 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 1 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 -1 1 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.539009209045 0.736729480338 0 4 3 5 0132 2103 2310 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 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 0.849805686639 0.625931738913 6 0 8 7 0132 0132 0132 0132 1 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 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 0.903413190146 1.058440763722 6 1 7 0 2031 3201 0132 0132 1 0 1 0 0 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 1 0 -1 -1 0 0 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 0.117365578048 0.628071180381 7 1 0 8 1230 2103 0132 0132 1 0 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 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 0.831280302850 1.692467341679 6 8 1 9 1023 3120 0132 0132 1 0 1 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 -1 1 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 0.675733475049 0.524199885125 2 5 3 10 0132 1023 1302 0132 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 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 0.721938376759 0.292424640455 9 4 2 3 3120 3012 0132 0132 1 0 0 1 0 0 0 0 1 0 0 -1 -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 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 0.395915728241 1.344857233122 10 5 4 2 0132 3120 0132 0132 1 0 1 1 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 0.357981566338 0.298462286843 11 12 5 7 0132 0132 0132 3120 1 0 0 1 0 -1 0 1 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 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 0.895635073071 1.010869826632 8 11 6 12 0132 1302 0132 1302 0 0 1 1 0 -1 0 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 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 0.508977380878 0.554198874953 9 12 12 10 0132 0321 2103 2031 1 0 1 0 0 1 0 -1 -1 0 0 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 -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 0.926215080140 0.650139918525 11 9 10 11 2103 0132 2031 0321 1 0 1 0 0 1 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 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 0.926215080140 0.650139918525 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_0101_9'], 'c_1001_12' : negation(d['c_0011_7']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_1001_5']), 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0011_11']), '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_11'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0101_11'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_3'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_0101_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0101_9'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : negation(d['c_1001_5']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : negation(d['c_0011_0']), 'c_1100_8' : d['c_1100_0'], '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_11'], '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_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_9'], 'c_0110_10' : d['c_0011_7'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : d['c_0101_11'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_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_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_9'], 'c_0110_4' : d['c_0011_7'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_10']})} 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_3, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_9, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 189115767922915495/48578800318096*c_1100_0^13 - 1146391730189102663/97157600636192*c_1100_0^12 - 3402040401333672309/97157600636192*c_1100_0^11 - 27077717726614880231/388630402544768*c_1100_0^10 - 24083627422119764979/194315201272384*c_1100_0^9 - 73866873985298876711/388630402544768*c_1100_0^8 - 48822866419792274465/194315201272384*c_1100_0^7 - 111492270714858599521/388630402544768*c_1100_0^6 - 13225938923298786061/48578800318096*c_1100_0^5 - 40557450143260057535/194315201272384*c_1100_0^4 - 24070218400134717965/194315201272384*c_1100_0^3 - 10075939093182743713/194315201272384*c_1100_0^2 - 2637589174812079657/194315201272384*c_1100_0 - 580996653142817709/388630402544768, c_0011_0 - 1, c_0011_10 + 52069461448125/3036175019881*c_1100_0^13 + 380725879557295/6072350039762*c_1100_0^12 + 556707599666117/3036175019881*c_1100_0^11 + 9588432453155717/24289400159048*c_1100_0^10 + 17274175250923347/24289400159048*c_1100_0^9 + 6861935467357597/6072350039762*c_1100_0^8 + 18736804010308185/12144700079524*c_1100_0^7 + 44378810935067533/24289400159048*c_1100_0^6 + 44280908034322637/24289400159048*c_1100_0^5 + 36084265094224231/24289400159048*c_1100_0^4 + 23179273188296125/24289400159048*c_1100_0^3 + 10908147055190143/24289400159048*c_1100_0^2 + 3317224105754305/24289400159048*c_1100_0 + 63261806389987/3036175019881, c_0011_11 + 132995595660555/6072350039762*c_1100_0^13 + 889946084163597/12144700079524*c_1100_0^12 + 652775215608016/3036175019881*c_1100_0^11 + 21634029744122715/48578800318096*c_1100_0^10 + 38667367073203071/48578800318096*c_1100_0^9 + 15064569495494059/12144700079524*c_1100_0^8 + 40498415009038179/24289400159048*c_1100_0^7 + 93943202383561055/48578800318096*c_1100_0^6 + 91345907384729781/48578800318096*c_1100_0^5 + 71946513769719793/48578800318096*c_1100_0^4 + 44205345910554493/48578800318096*c_1100_0^3 + 19548365259359557/48578800318096*c_1100_0^2 + 5457508011741217/48578800318096*c_1100_0 + 45888846545446/3036175019881, c_0011_3 + 15259675560030/3036175019881*c_1100_0^13 + 43832404715086/3036175019881*c_1100_0^12 + 260737737291281/6072350039762*c_1100_0^11 + 1015133027964885/12144700079524*c_1100_0^10 + 3603077435498047/24289400159048*c_1100_0^9 + 1369641008364803/6072350039762*c_1100_0^8 + 1798014323362945/6072350039762*c_1100_0^7 + 2033419908477247/6072350039762*c_1100_0^6 + 7664735323057437/24289400159048*c_1100_0^5 + 2915492960240075/12144700079524*c_1100_0^4 + 3462720469656833/24289400159048*c_1100_0^3 + 745130399820073/12144700079524*c_1100_0^2 + 407583137676153/24289400159048*c_1100_0 + 7804855945559/3036175019881, c_0011_4 - 33376644403900/3036175019881*c_1100_0^13 - 109706948135255/3036175019881*c_1100_0^12 - 662307900304665/6072350039762*c_1100_0^11 - 685123266102043/3036175019881*c_1100_0^10 - 9972524331193093/24289400159048*c_1100_0^9 - 1952635758661305/3036175019881*c_1100_0^8 - 5308786217871451/6072350039762*c_1100_0^7 - 12505346013736633/12144700079524*c_1100_0^6 - 24751023881234843/24289400159048*c_1100_0^5 - 5016550506447879/6072350039762*c_1100_0^4 - 12839993254475159/24289400159048*c_1100_0^3 - 1504215929998131/6072350039762*c_1100_0^2 - 1867088100445423/24289400159048*c_1100_0 - 36140232551275/3036175019881, c_0011_7 - 34849683804755/3036175019881*c_1100_0^13 - 228425100238767/6072350039762*c_1100_0^12 - 682869077311857/6072350039762*c_1100_0^11 - 5615041765912367/24289400159048*c_1100_0^10 - 1268996817389530/3036175019881*c_1100_0^9 - 1975879750251967/3036175019881*c_1100_0^8 - 10688144789012255/12144700079524*c_1100_0^7 - 24945972187087017/24289400159048*c_1100_0^6 - 6108057318261559/6072350039762*c_1100_0^5 - 19525584681861985/24289400159048*c_1100_0^4 - 3059957708536679/6072350039762*c_1100_0^3 - 5595976473556613/24289400159048*c_1100_0^2 - 415655924906619/6072350039762*c_1100_0 - 30594430735274/3036175019881, c_0101_0 - 1, c_0101_1 - 1473039400855/3036175019881*c_1100_0^13 - 9011203968257/6072350039762*c_1100_0^12 - 10280588503596/3036175019881*c_1100_0^11 - 134055637096023/24289400159048*c_1100_0^10 - 179450207923147/24289400159048*c_1100_0^9 - 23243991590662/3036175019881*c_1100_0^8 - 70572353269353/12144700079524*c_1100_0^7 + 64719840386249/24289400159048*c_1100_0^6 + 318794608188607/24289400159048*c_1100_0^5 + 540617343929531/24289400159048*c_1100_0^4 + 600162420328443/24289400159048*c_1100_0^3 + 420887246435911/24289400159048*c_1100_0^2 + 204464400818947/24289400159048*c_1100_0 + 5545801816001/3036175019881, c_0101_10 - 15259675560030/3036175019881*c_1100_0^13 - 43832404715086/3036175019881*c_1100_0^12 - 260737737291281/6072350039762*c_1100_0^11 - 1015133027964885/12144700079524*c_1100_0^10 - 3603077435498047/24289400159048*c_1100_0^9 - 1369641008364803/6072350039762*c_1100_0^8 - 1798014323362945/6072350039762*c_1100_0^7 - 2033419908477247/6072350039762*c_1100_0^6 - 7664735323057437/24289400159048*c_1100_0^5 - 2915492960240075/12144700079524*c_1100_0^4 - 3462720469656833/24289400159048*c_1100_0^3 - 745130399820073/12144700079524*c_1100_0^2 - 407583137676153/24289400159048*c_1100_0 - 7804855945559/3036175019881, c_0101_11 - 3575924502040/3036175019881*c_1100_0^13 - 10889023490288/3036175019881*c_1100_0^12 - 34792573659762/3036175019881*c_1100_0^11 - 68920683162755/3036175019881*c_1100_0^10 - 257258735951677/6072350039762*c_1100_0^9 - 392964550264999/6072350039762*c_1100_0^8 - 268376759155439/3036175019881*c_1100_0^7 - 313380293602184/3036175019881*c_1100_0^6 - 306256194912056/3036175019881*c_1100_0^5 - 244785129655537/3036175019881*c_1100_0^4 - 151288049457755/3036175019881*c_1100_0^3 - 135415281229159/6072350039762*c_1100_0^2 - 41609655907489/6072350039762*c_1100_0 - 2290201481889/3036175019881, c_0101_9 - 34849683804755/3036175019881*c_1100_0^13 - 228425100238767/6072350039762*c_1100_0^12 - 682869077311857/6072350039762*c_1100_0^11 - 5615041765912367/24289400159048*c_1100_0^10 - 1268996817389530/3036175019881*c_1100_0^9 - 1975879750251967/3036175019881*c_1100_0^8 - 10688144789012255/12144700079524*c_1100_0^7 - 24945972187087017/24289400159048*c_1100_0^6 - 6108057318261559/6072350039762*c_1100_0^5 - 19525584681861985/24289400159048*c_1100_0^4 - 3059957708536679/6072350039762*c_1100_0^3 - 5595976473556613/24289400159048*c_1100_0^2 - 415655924906619/6072350039762*c_1100_0 - 30594430735274/3036175019881, c_1001_5 - 202139510179935/6072350039762*c_1100_0^13 - 1200278866468549/12144700079524*c_1100_0^12 - 1788975185198159/6072350039762*c_1100_0^11 - 28203001737032087/48578800318096*c_1100_0^10 - 50254215389761361/48578800318096*c_1100_0^9 - 19177731640975397/12144700079524*c_1100_0^8 - 50652788001996207/24289400159048*c_1100_0^7 - 115247361993482655/48578800318096*c_1100_0^6 - 109091981623095027/48578800318096*c_1100_0^5 - 83386383159565853/48578800318096*c_1100_0^4 - 49335617344549115/48578800318096*c_1100_0^3 - 20698247532245905/48578800318096*c_1100_0^2 - 5439733877863143/48578800318096*c_1100_0 - 37520611082435/3036175019881, c_1100_0^14 + 37/10*c_1100_0^13 + 111/10*c_1100_0^12 + 193/8*c_1100_0^11 + 889/20*c_1100_0^10 + 2853/40*c_1100_0^9 + 1987/20*c_1100_0^8 + 4803/40*c_1100_0^7 + 617/5*c_1100_0^6 + 2101/20*c_1100_0^5 + 1439/20*c_1100_0^4 + 151/4*c_1100_0^3 + 283/20*c_1100_0^2 + 27/8*c_1100_0 + 2/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.400 seconds, Total memory usage: 32.09MB