Magma V2.19-8 Wed Aug 21 2013 00:55:11 on localhost [Seed = 104864874] Type ? for help. Type -D to quit. Loading file "L13a2127__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13a2127 geometric_solution 11.40296553 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 3201 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 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 0.746781263797 0.225846402426 0 0 1 1 0132 2310 1230 3012 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 1.322514808922 0.575225554600 4 0 3 5 0132 0132 1302 0132 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 -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 0.726171107591 0.452057957845 2 5 6 0 2031 0132 0132 0132 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 -1 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 0.726171107591 0.452057957845 2 7 8 5 0132 0132 0132 2103 1 1 1 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 0 0 0 0 0 0 0 0 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.595493682106 0.749632352441 6 3 2 4 0321 0132 0132 2103 1 1 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 0 0 0 0 0 0 10 0 1 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.641652984692 0.265612978670 5 9 10 3 0321 0132 0132 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 0 -1 1 0 0 1 -1 0 1 0 -1 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.595493682106 0.749632352441 11 4 9 9 0132 0132 3120 1023 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 0.838969111659 0.848388929271 10 12 12 4 0213 0132 1302 0132 1 1 1 0 0 0 0 0 -1 0 0 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 -11 0 0 11 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.838969111659 0.848388929271 12 6 7 7 2031 0132 3120 1023 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.838969111659 0.848388929271 8 11 11 6 0213 1230 2310 0132 1 1 1 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 -1 0 1 0 0 1 -1 11 -1 0 -10 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.838969111659 0.848388929271 7 10 10 12 0132 3201 3012 2103 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 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 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 0.838969111659 0.848388929271 8 8 9 11 2031 0132 1302 2103 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 -1 1 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.410684394291 0.595932351718 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_0110_12'], 'c_1001_12' : d['c_0110_9'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0110_9'], 'c_1001_7' : negation(d['c_1001_3']), 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : d['c_1001_3'], 'c_1001_8' : d['c_0110_12'], 'c_1010_12' : d['c_0110_12'], 'c_1010_11' : negation(d['c_0110_12']), 'c_1010_10' : d['c_0101_11'], 's_3_11' : 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_0011_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(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_0'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : d['c_0101_7'], 'c_1100_6' : d['c_0011_0'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_3'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0110_12']), 'c_1100_10' : d['c_0011_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_9'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_1001_3'], 'c_1010_4' : negation(d['c_1001_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_0110_9'], 'c_1100_8' : d['c_0011_6'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0101_7']), 's_1_7' : d['1'], 's_1_6' : negation(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' : negation(d['1']), 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_6']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_0']), '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_0101_7'], 'c_0110_10' : negation(d['c_0101_4']), 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0011_6'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_7']), 'c_0101_8' : d['c_0011_10'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_7']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0011_3']})} 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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_4, c_0101_7, c_0110_12, c_0110_9, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 21 Groebner basis: [ t + 333337197999010457/220849701392973*c_1001_3^20 - 8644423162808829/73616567130991*c_1001_3^19 + 445129136880848209/73616567130991*c_1001_3^18 + 5563531035510196460/220849701392973*c_1001_3^17 - 3033318812730723121/73616567130991*c_1001_3^16 + 50711044323564613913/220849701392973*c_1001_3^15 - 5055052791908606501/12991158905469*c_1001_3^14 + 66887885004990093134/73616567130991*c_1001_3^13 - 306846787585339607662/220849701392973*c_1001_3^12 + 456686857979912155009/220849701392973*c_1001_3^11 - 33043440965888787194/11623668494367*c_1001_3^10 + 658271624169195765088/220849701392973*c_1001_3^9 - 267819548637940250116/73616567130991*c_1001_3^8 + 619540984307113675538/220849701392973*c_1001_3^7 - 640952760792206865419/220849701392973*c_1001_3^6 + 374237636966338421480/220849701392973*c_1001_3^5 - 290450262879051119770/220849701392973*c_1001_3^4 + 133397109186528803279/220849701392973*c_1001_3^3 - 883257348141892753/3743215277847*c_1001_3^2 + 7199383331770438433/73616567130991*c_1001_3 + 4361112026522842189/220849701392973, c_0011_0 - 1, c_0011_10 - 1, c_0011_3 + 6548282362/51887313351*c_1001_3^20 + 3799746569/51887313351*c_1001_3^19 + 1324517122/3052194903*c_1001_3^18 + 2397077338/1017398301*c_1001_3^17 - 122764022735/51887313351*c_1001_3^16 + 811323542813/51887313351*c_1001_3^15 - 1015399737812/51887313351*c_1001_3^14 + 2404322692634/51887313351*c_1001_3^13 - 1012568245649/17295771117*c_1001_3^12 + 413340685874/5765257039*c_1001_3^11 - 262878152423/2730911229*c_1001_3^10 + 2930978566649/51887313351*c_1001_3^9 - 277851307450/3052194903*c_1001_3^8 + 803530925594/51887313351*c_1001_3^7 - 2163710966986/51887313351*c_1001_3^6 - 194580316060/51887313351*c_1001_3^5 - 8116972640/51887313351*c_1001_3^4 + 31304679823/17295771117*c_1001_3^3 + 1463695573/293148663*c_1001_3^2 + 202990239632/51887313351*c_1001_3 - 35332297484/51887313351, c_0011_6 + 1, c_0101_0 + 27699854932/51887313351*c_1001_3^20 + 6902148761/51887313351*c_1001_3^19 + 5832883237/3052194903*c_1001_3^18 + 9508677443/1017398301*c_1001_3^17 - 625137698747/51887313351*c_1001_3^16 + 3743267809688/51887313351*c_1001_3^15 - 5655982518182/51887313351*c_1001_3^14 + 13492155753206/51887313351*c_1001_3^13 - 2195682209498/5765257039*c_1001_3^12 + 9591490741978/17295771117*c_1001_3^11 - 2110846900400/2730911229*c_1001_3^10 + 39723455281340/51887313351*c_1001_3^9 - 3018124349296/3052194903*c_1001_3^8 + 36846897557627/51887313351*c_1001_3^7 - 41111788664656/51887313351*c_1001_3^6 + 22933338362411/51887313351*c_1001_3^5 - 18833831484047/51887313351*c_1001_3^4 + 995618311772/5765257039*c_1001_3^3 - 6629086151/97716221*c_1001_3^2 + 1702067939504/51887313351*c_1001_3 + 219078803674/51887313351, c_0101_1 + 985797123/5765257039*c_1001_3^20 - 6541365152/17295771117*c_1001_3^19 + 711588407/1017398301*c_1001_3^18 + 1926172394/1017398301*c_1001_3^17 - 187075098037/17295771117*c_1001_3^16 + 642683568416/17295771117*c_1001_3^15 - 522768059881/5765257039*c_1001_3^14 + 3112233335062/17295771117*c_1001_3^13 - 5332043991173/17295771117*c_1001_3^12 + 7891749396902/17295771117*c_1001_3^11 - 545406586709/910303743*c_1001_3^10 + 4053660311635/5765257039*c_1001_3^9 - 745593773204/1017398301*c_1001_3^8 + 11823693084953/17295771117*c_1001_3^7 - 3296737713374/5765257039*c_1001_3^6 + 7040611573778/17295771117*c_1001_3^5 - 1535402384719/5765257039*c_1001_3^4 + 2269057156525/17295771117*c_1001_3^3 - 16710161345/293148663*c_1001_3^2 + 270346694851/17295771117*c_1001_3 + 19346670100/17295771117, c_0101_11 - 16286948611/51887313351*c_1001_3^20 - 2111036537/51887313351*c_1001_3^19 - 3472405759/3052194903*c_1001_3^18 - 5678519663/1017398301*c_1001_3^17 + 421712775158/51887313351*c_1001_3^16 - 2290014229709/51887313351*c_1001_3^15 + 3458592925889/51887313351*c_1001_3^14 - 7737272586884/51887313351*c_1001_3^13 + 1192497261914/5765257039*c_1001_3^12 - 4747795620214/17295771117*c_1001_3^11 + 978525845462/2730911229*c_1001_3^10 - 15302233662953/51887313351*c_1001_3^9 + 1128227662759/3052194903*c_1001_3^8 - 9462071942879/51887313351*c_1001_3^7 + 11025255437701/51887313351*c_1001_3^6 - 3056056207946/51887313351*c_1001_3^5 + 2456512201946/51887313351*c_1001_3^4 - 57759647418/5765257039*c_1001_3^3 - 671967456/97716221*c_1001_3^2 - 174124925885/51887313351*c_1001_3 - 66373160056/51887313351, c_0101_4 - c_1001_3, c_0101_7 + 31258530620/51887313351*c_1001_3^20 - 44924229365/51887313351*c_1001_3^19 + 5270316833/3052194903*c_1001_3^18 + 2568631129/339132767*c_1001_3^17 - 1685343424528/51887313351*c_1001_3^16 + 5390371122442/51887313351*c_1001_3^15 - 12703416611164/51887313351*c_1001_3^14 + 23294031067894/51887313351*c_1001_3^13 - 13330128069824/17295771117*c_1001_3^12 + 18103731893167/17295771117*c_1001_3^11 - 3713420728402/2730911229*c_1001_3^10 + 77407911478330/51887313351*c_1001_3^9 - 4388871893615/3052194903*c_1001_3^8 + 68601082871020/51887313351*c_1001_3^7 - 46158502727186/51887313351*c_1001_3^6 + 34928104337740/51887313351*c_1001_3^5 - 14390095303747/51887313351*c_1001_3^4 + 2439898377511/17295771117*c_1001_3^3 - 7104167885/293148663*c_1001_3^2 - 602330311256/51887313351*c_1001_3 - 37017011923/51887313351, c_0110_12 - 14485846705/51887313351*c_1001_3^20 + 16286948611/51887313351*c_1001_3^19 - 3284255899/3052194903*c_1001_3^18 - 3671146982/1017398301*c_1001_3^17 + 666236517143/51887313351*c_1001_3^16 - 2594589780908/51887313351*c_1001_3^15 + 5853532519139/51887313351*c_1001_3^14 - 11889355708199/51887313351*c_1001_3^13 + 2266433623006/5765257039*c_1001_3^12 - 9849863409007/17295771117*c_1001_3^11 + 2105222226428/2730911229*c_1001_3^10 - 45101090533928/51887313351*c_1001_3^9 + 2825044786444/3052194903*c_1001_3^8 - 43429177651073/51887313351*c_1001_3^7 + 35261364924484/51887313351*c_1001_3^6 - 25163441821781/51887313351*c_1001_3^5 + 14441931718076/51887313351*c_1001_3^4 - 810531666824/5765257039*c_1001_3^3 + 4416296632/97716221*c_1001_3^2 - 410935156229/51887313351*c_1001_3 - 86620314805/51887313351, c_0110_9 - 16286948611/51887313351*c_1001_3^20 - 2111036537/51887313351*c_1001_3^19 - 3472405759/3052194903*c_1001_3^18 - 5678519663/1017398301*c_1001_3^17 + 421712775158/51887313351*c_1001_3^16 - 2290014229709/51887313351*c_1001_3^15 + 3458592925889/51887313351*c_1001_3^14 - 7737272586884/51887313351*c_1001_3^13 + 1192497261914/5765257039*c_1001_3^12 - 4747795620214/17295771117*c_1001_3^11 + 978525845462/2730911229*c_1001_3^10 - 15302233662953/51887313351*c_1001_3^9 + 1128227662759/3052194903*c_1001_3^8 - 9462071942879/51887313351*c_1001_3^7 + 11025255437701/51887313351*c_1001_3^6 - 3056056207946/51887313351*c_1001_3^5 + 2456512201946/51887313351*c_1001_3^4 - 57759647418/5765257039*c_1001_3^3 - 671967456/97716221*c_1001_3^2 - 174124925885/51887313351*c_1001_3 - 66373160056/51887313351, c_1001_0 + 8822404594/51887313351*c_1001_3^20 - 2102487817/51887313351*c_1001_3^19 + 1113855136/3052194903*c_1001_3^18 + 1005233683/339132767*c_1001_3^17 - 305828588168/51887313351*c_1001_3^16 + 1118106608951/51887313351*c_1001_3^15 - 1790657627096/51887313351*c_1001_3^14 + 3238154598803/51887313351*c_1001_3^13 - 1445761068229/17295771117*c_1001_3^12 + 1597004658683/17295771117*c_1001_3^11 - 293750399450/2730911229*c_1001_3^10 + 3457503150140/51887313351*c_1001_3^9 - 207017094304/3052194903*c_1001_3^8 + 316906082708/51887313351*c_1001_3^7 - 49286678410/51887313351*c_1001_3^6 - 1319864469526/51887313351*c_1001_3^5 + 1410347746009/51887313351*c_1001_3^4 - 276154359763/17295771117*c_1001_3^3 + 3688532204/293148663*c_1001_3^2 - 128208761122/51887313351*c_1001_3 + 32681405077/51887313351, c_1001_3^21 + 4*c_1001_3^19 + 17*c_1001_3^18 - 26*c_1001_3^17 + 150*c_1001_3^16 - 246*c_1001_3^15 + 582*c_1001_3^14 - 874*c_1001_3^13 + 1299*c_1001_3^12 - 1778*c_1001_3^11 + 1830*c_1001_3^10 - 2259*c_1001_3^9 + 1674*c_1001_3^8 - 1781*c_1001_3^7 + 976*c_1001_3^6 - 786*c_1001_3^5 + 334*c_1001_3^4 - 126*c_1001_3^3 + 53*c_1001_3^2 + 18*c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB