Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [294,6,Mod(67,294)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(294, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("294.67");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 294.e (of order , degree , not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | no (minimal twist has level 42) |
Sato-Tate group: |
Embedding invariants
Embedding label | 67.2 | ||
Root | of defining polynomial | ||
Character | 294.67 | ||
Dual form | 294.6.e.s.79.2 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
−2.00000 | − | 3.46410i | −0.353553 | − | 0.612372i | |||||
−4.50000 | + | 7.79423i | −0.288675 | + | 0.500000i | |||||
−8.00000 | + | 13.8564i | −0.250000 | + | 0.433013i | |||||
11.2462 | + | 19.4789i | 0.201178 | + | 0.348450i | 0.948908 | − | 0.315552i | ||
−0.747730 | + | 0.664002i | ||||||||
36.0000 | 0.408248 | |||||||||
0 | 0 | |||||||||
64.0000 | 0.353553 | |||||||||
−40.5000 | − | 70.1481i | −0.166667 | − | 0.288675i | |||||
44.9847 | − | 77.9158i | 0.142254 | − | 0.246391i | |||||
−170.231 | + | 294.849i | −0.424186 | + | 0.734712i | −0.996344 | − | 0.0854314i | ||
0.572158 | + | 0.820144i | ||||||||
−72.0000 | − | 124.708i | −0.144338 | − | 0.250000i | |||||
728.416 | 1.19542 | 0.597711 | − | 0.801712i | ||||||
0.597711 | + | 0.801712i | ||||||||
0 | 0 | |||||||||
−202.431 | −0.232300 | |||||||||
−128.000 | − | 221.703i | −0.125000 | − | 0.216506i | |||||
404.923 | − | 701.348i | 0.339821 | − | 0.588588i | −0.644578 | − | 0.764539i | ||
0.984399 | + | 0.175951i | ||||||||
−162.000 | + | 280.592i | −0.117851 | + | 0.204124i | |||||
513.101 | + | 888.717i | 0.326076 | + | 0.564780i | 0.981730 | − | 0.190282i | ||
−0.655654 | + | 0.755062i | ||||||||
−359.878 | −0.201178 | |||||||||
0 | 0 | |||||||||
1361.85 | 0.599890 | |||||||||
−711.015 | − | 1231.51i | −0.280259 | − | 0.485423i | 0.691190 | − | 0.722674i | ||
−0.971448 | + | 0.237251i | ||||||||
−288.000 | + | 498.831i | −0.102062 | + | 0.176777i | |||||
1309.55 | − | 2268.20i | 0.419055 | − | 0.725825i | |||||
−1456.83 | − | 2523.31i | −0.422645 | − | 0.732043i | |||||
729.000 | 0.192450 | |||||||||
0 | 0 | |||||||||
5218.03 | 1.15216 | 0.576079 | − | 0.817394i | ||||||
0.576079 | + | 0.817394i | ||||||||
404.862 | + | 701.242i | 0.0821304 | + | 0.142254i | |||||
−3518.87 | + | 6094.87i | −0.657657 | + | 1.13909i | 0.323564 | + | 0.946206i | ||
−0.981221 | + | 0.192889i | ||||||||
−512.000 | + | 886.810i | −0.0883883 | + | 0.153093i | |||||
−1532.08 | − | 2653.64i | −0.244904 | − | 0.424186i | |||||
−3239.39 | −0.480580 | |||||||||
0 | 0 | |||||||||
1296.00 | 0.166667 | |||||||||
−6396.05 | − | 11078.3i | −0.768082 | − | 1.33036i | −0.938601 | − | 0.345004i | ||
0.170519 | − | 0.985354i | ||||||||
2052.40 | − | 3554.87i | 0.230570 | − | 0.399360i | |||||
−3277.87 | + | 5677.44i | −0.345088 | + | 0.597711i | |||||
719.755 | + | 1246.65i | 0.0711270 | + | 0.123196i | |||||
−1173.51 | −0.109025 | −0.0545124 | − | 0.998513i | ||||||
−0.0545124 | + | 0.998513i | ||||||||
0 | 0 | |||||||||
3664.17 | 0.302207 | 0.151103 | − | 0.988518i | ||||||
0.151103 | + | 0.988518i | ||||||||
−2723.69 | − | 4717.58i | −0.212093 | − | 0.367356i | |||||
910.940 | − | 1577.79i | 0.0670592 | − | 0.116150i | |||||
−2844.06 | + | 4926.06i | −0.198173 | + | 0.343246i | |||||
4656.60 | + | 8065.46i | 0.307485 | + | 0.532580i | 0.977812 | − | 0.209487i | ||
−0.670326 | + | 0.742066i | ||||||||
2304.00 | 0.144338 | |||||||||
0 | 0 | |||||||||
−10476.4 | −0.592633 | |||||||||
3644.31 | + | 6312.13i | 0.196196 | + | 0.339821i | |||||
−5827.33 | + | 10093.2i | −0.298855 | + | 0.517633i | |||||
−17821.4 | + | 30867.6i | −0.871469 | + | 1.50943i | −0.0109916 | + | 0.999940i | ||
−0.860477 | + | 0.509489i | ||||||||
−1458.00 | − | 2525.33i | −0.0680414 | − | 0.117851i | |||||
−7657.78 | −0.341347 | |||||||||
0 | 0 | |||||||||
−9235.81 | −0.376520 | |||||||||
−10436.1 | − | 18075.8i | −0.407349 | − | 0.705549i | |||||
−15188.1 | + | 26306.5i | −0.568033 | + | 0.983861i | 0.428728 | + | 0.903434i | ||
−0.996760 | + | 0.0804276i | ||||||||
1619.45 | − | 2804.97i | 0.0580750 | − | 0.100589i | |||||
16093.1 | + | 27874.1i | 0.553753 | + | 0.959128i | 0.997999 | + | 0.0632231i | ||
−0.444247 | + | 0.895904i | ||||||||
28151.0 | 0.930067 | |||||||||
0 | 0 | |||||||||
4096.00 | 0.125000 | |||||||||
8191.89 | + | 14188.8i | 0.240492 | + | 0.416544i | |||||
−6128.31 | + | 10614.5i | −0.173173 | + | 0.299945i | |||||
−10675.5 | + | 18490.6i | −0.290538 | + | 0.503226i | −0.973937 | − | 0.226819i | ||
0.683399 | + | 0.730045i | ||||||||
6478.78 | + | 11221.6i | 0.169911 | + | 0.294294i | |||||
12798.3 | 0.323615 | |||||||||
0 | 0 | |||||||||
61153.7 | 1.43972 | 0.719859 | − | 0.694121i | ||||||
0.719859 | + | 0.694121i | ||||||||
−2592.00 | − | 4489.48i | −0.0589256 | − | 0.102062i | |||||
20633.9 | − | 35739.0i | 0.453184 | − | 0.784937i | −0.545398 | − | 0.838177i | ||
0.998582 | + | 0.0532401i | ||||||||
−25584.2 | + | 44313.2i | −0.543116 | + | 0.940705i | |||||
11785.9 | + | 20413.8i | 0.241942 | + | 0.419055i | |||||
−16419.2 | −0.326076 | |||||||||
0 | 0 | |||||||||
26223.0 | 0.488029 | |||||||||
17500.2 | + | 30311.3i | 0.315483 | + | 0.546433i | 0.979540 | − | 0.201249i | ||
−0.664057 | + | 0.747682i | ||||||||
2879.02 | − | 4986.61i | 0.0502944 | − | 0.0871125i | |||||
−3280.50 | + | 5681.99i | −0.0555556 | + | 0.0962250i | |||||
2347.01 | + | 4065.14i | 0.0385461 | + | 0.0667638i | |||||
−86193.0 | −1.37334 | −0.686668 | − | 0.726972i | ||||||
−0.686668 | + | 0.726972i | ||||||||
0 | 0 | |||||||||
18215.4 | 0.273458 | |||||||||
−7328.33 | − | 12693.0i | −0.106846 | − | 0.185063i | |||||
−23481.1 | + | 40670.5i | −0.332599 | + | 0.576079i | |||||
−10894.8 | + | 18870.3i | −0.149972 | + | 0.259760i | |||||
38996.3 | + | 67543.6i | 0.521853 | + | 0.903876i | 0.999677 | + | 0.0254206i | ||
−0.477824 | + | 0.878456i | ||||||||
−7287.52 | −0.0948361 | |||||||||
0 | 0 | |||||||||
22752.5 | 0.280259 | |||||||||
−31669.9 | − | 54853.8i | −0.379698 | − | 0.657657i | |||||
18626.4 | − | 32261.9i | 0.217425 | − | 0.376591i | |||||
−11540.8 | + | 19989.3i | −0.131198 | + | 0.227242i | |||||
−4608.00 | − | 7981.29i | −0.0510310 | − | 0.0883883i | |||||
161765. | 1.74565 | 0.872823 | − | 0.488037i | ||||||
0.872823 | + | 0.488037i | ||||||||
0 | 0 | |||||||||
27577.4 | 0.282791 | |||||||||
20952.8 | + | 36291.2i | 0.209528 | + | 0.362912i | |||||
−32927.2 | + | 57031.6i | −0.321182 | + | 0.556304i | −0.980732 | − | 0.195357i | ||
0.659550 | + | 0.751661i | ||||||||
14577.2 | − | 25248.5i | 0.138731 | − | 0.240290i | |||||
65099.0 | + | 112755.i | 0.604619 | + | 1.04723i | 0.992112 | + | 0.125358i | ||
−0.387493 | + | 0.921873i | ||||||||
46618.6 | 0.422645 | |||||||||
0 | 0 | |||||||||
142571. | 1.23244 | |||||||||
−1295.48 | − | 2243.83i | −0.0109388 | − | 0.0189466i | 0.860504 | − | 0.509443i | ||
−0.871443 | + | 0.490497i | ||||||||
−5832.00 | + | 10101.3i | −0.0481125 | + | 0.0833333i | |||||
−55326.9 | + | 95828.9i | −0.446036 | + | 0.772557i | −0.998124 | − | 0.0612291i | ||
0.552088 | + | 0.833786i | ||||||||
15315.6 | + | 26527.3i | 0.120684 | + | 0.209032i | |||||
115129. | 0.886905 | |||||||||
0 | 0 | |||||||||
−193910. | −1.42858 | −0.714291 | − | 0.699849i | ||||||
−0.714291 | + | 0.699849i | ||||||||
18471.6 | + | 31993.8i | 0.133120 | + | 0.230570i | |||||
15992.4 | − | 27699.7i | 0.112764 | − | 0.195312i | |||||
−41744.3 | + | 72303.2i | −0.288039 | + | 0.498899i | |||||
−29500.8 | − | 51097.0i | −0.199237 | − | 0.345088i | |||||
121505. | 0.803319 | |||||||||
0 | 0 | |||||||||
−12955.6 | −0.0821304 | |||||||||
22568.4 | + | 39089.6i | 0.140132 | + | 0.242716i | |||||
64372.5 | − | 111496.i | 0.391562 | − | 0.678206i | |||||
5280.77 | − | 9146.57i | 0.0314728 | − | 0.0545124i | |||||
−56302.0 | − | 97517.9i | −0.328828 | − | 0.569547i | |||||
129198. | 0.739573 | |||||||||
0 | 0 | |||||||||
27429.2 | 0.150905 | 0.0754526 | − | 0.997149i | ||||||
0.0754526 | + | 0.997149i | ||||||||
−8192.00 | − | 14189.0i | −0.0441942 | − | 0.0765466i | |||||
−16488.7 | + | 28559.3i | −0.0872395 | + | 0.151103i | |||||
32767.6 | − | 56755.1i | 0.170054 | − | 0.294541i | |||||
75188.0 | + | 130229.i | 0.382798 | + | 0.663026i | 0.991461 | − | 0.130403i | ||
−0.608663 | + | 0.793429i | ||||||||
49026.5 | 0.244904 | |||||||||
0 | 0 | |||||||||
85404.3 | 0.410883 | |||||||||
8198.46 | + | 14200.1i | 0.0387167 | + | 0.0670592i | |||||
25915.1 | − | 44886.3i | 0.120145 | − | 0.208097i | |||||
−48051.0 | + | 83226.8i | −0.218726 | + | 0.378845i | −0.954419 | − | 0.298471i | ||
0.735693 | + | 0.677316i | ||||||||
−25596.6 | − | 44334.5i | −0.114415 | − | 0.198173i | |||||
−100854. | −0.442749 | −0.221375 | − | 0.975189i | ||||||
−0.221375 | + | 0.975189i | ||||||||
0 | 0 | |||||||||
−83818.7 | −0.355053 | |||||||||
−122307. | − | 211843.i | −0.509017 | − | 0.881643i | |||||
−123999. | + | 214772.i | −0.507081 | + | 0.878291i | |||||
−10368.0 | + | 17957.9i | −0.0416667 | + | 0.0721688i | |||||
58682.9 | + | 101642.i | 0.231788 | + | 0.401469i | |||||
−165071. | −0.640898 | |||||||||
0 | 0 | |||||||||
204674. | 0.768082 | |||||||||
180472. | + | 312587.i | 0.665954 | + | 1.15347i | 0.979026 | + | 0.203737i | ||
−0.313071 | + | 0.949730i | ||||||||
47143.7 | − | 81655.3i | 0.171079 | − | 0.296317i | |||||
217028. | − | 375903.i | 0.774592 | − | 1.34163i | −0.160431 | − | 0.987047i | ||
0.935023 | − | 0.354586i | ||||||||
32838.4 | + | 56877.9i | 0.115285 | + | 0.199680i | |||||
−65597.6 | −0.226548 | |||||||||
0 | 0 | |||||||||
−158295. | −0.529223 | |||||||||
−52445.9 | − | 90839.0i | −0.172544 | − | 0.298855i | |||||
−255798. | + | 443055.i | −0.828225 | + | 1.43453i | 0.0712046 | + | 0.997462i | ||
−0.899430 | + | 0.437066i | ||||||||
70000.9 | − | 121245.i | 0.223080 | − | 0.386386i | |||||
−160393. | − | 277808.i | −0.503143 | − | 0.871469i | |||||
−23032.2 | −0.0711270 | |||||||||
0 | 0 | |||||||||
26244.0 | 0.0785674 | |||||||||
125635. | + | 217606.i | 0.370374 | + | 0.641507i | 0.989623 | − | 0.143688i | ||
−0.619249 | + | 0.785195i | ||||||||
9388.04 | − | 16260.6i | 0.0272562 | − | 0.0472091i | |||||
34460.0 | − | 59686.5i | 0.0985384 | − | 0.170674i | |||||
172386. | + | 298581.i | 0.485547 | + | 0.840993i | |||||
−419277. | −1.16335 | −0.581674 | − | 0.813422i | ||||||
−0.581674 | + | 0.813422i | ||||||||
0 | 0 | |||||||||
159297. | 0.429032 | |||||||||
−36430.7 | − | 63099.8i | −0.0966819 | − | 0.167458i | |||||
41561.2 | − | 71986.0i | 0.108692 | − | 0.188260i | |||||
−29313.3 | + | 50772.2i | −0.0755517 | + | 0.130859i | |||||
−230688. | − | 399564.i | −0.586017 | − | 1.01501i | −0.994748 | − | 0.102356i | ||
0.408731 | − | 0.912655i | ||||||||
187849. | 0.470366 | |||||||||
0 | 0 | |||||||||
87158.2 | 0.212093 | |||||||||
−136693. | − | 236759.i | −0.327954 | − | 0.568033i | |||||
155985. | − | 270174.i | 0.369006 | − | 0.639137i | |||||
−370853. | + | 642336.i | −0.865105 | + | 1.49841i | 0.00183697 | + | 0.999998i | ||
−0.866942 | + | 0.498408i | ||||||||
14575.0 | + | 25244.7i | 0.0335296 | + | 0.0580750i | |||||
−301371. | −0.683762 | −0.341881 | − | 0.939743i | ||||||
−0.341881 | + | 0.939743i | ||||||||
0 | 0 | |||||||||
−289676. | −0.639418 | |||||||||
−45505.0 | − | 78816.9i | −0.0990865 | − | 0.171623i | |||||
143862. | − | 249177.i | 0.309042 | − | 0.535277i | |||||
−126679. | + | 219415.i | −0.268487 | + | 0.465034i | |||||
137861. | + | 238782.i | 0.288295 | + | 0.499342i | |||||
−149011. | −0.307485 | |||||||||
0 | 0 | |||||||||
92326.7 | 0.185542 | |||||||||
−131591. | − | 227923.i | −0.261002 | − | 0.452069i | 0.705507 | − | 0.708703i | ||
−0.966508 | + | 0.256635i | ||||||||
−18432.0 | + | 31925.2i | −0.0360844 | + | 0.0625000i | |||||
415563. | − | 719777.i | 0.803053 | − | 1.39093i | −0.114545 | − | 0.993418i | ||
0.917598 | − | 0.397510i | ||||||||
−323531. | − | 560372.i | −0.617179 | − | 1.06899i | |||||
−147454. | −0.277696 | |||||||||
0 | 0 | |||||||||
−1.05421e6 | −1.93536 | −0.967681 | − | 0.252178i | ||||||
−0.967681 | + | 0.252178i | ||||||||
−55154.8 | − | 95530.9i | −0.0999817 | − | 0.173173i | |||||
349284. | − | 604977.i | 0.625239 | − | 1.08295i | −0.363256 | − | 0.931689i | ||
0.988495 | − | 0.151256i | ||||||||
83811.0 | − | 145165.i | 0.148158 | − | 0.256618i | |||||
−96079.9 | − | 166415.i | −0.167742 | − | 0.290538i | |||||
263418. | 0.454220 | |||||||||
0 | 0 | |||||||||
−116618. | −0.196196 | |||||||||
−13197.4 | − | 22858.6i | −0.0219334 | − | 0.0379897i | |||||
260396. | − | 451019.i | 0.427530 | − | 0.740504i | |||||
−57592.2 | + | 99752.7i | −0.0934196 | + | 0.161808i | |||||
−93237.2 | − | 161492.i | −0.149428 | − | 0.258816i | |||||
−349382. | −0.553268 | |||||||||
0 | 0 | |||||||||
−99693.6 | −0.154156 | −0.0770781 | − | 0.997025i | ||||||
−0.0770781 | + | 0.997025i | ||||||||
−285142. | − | 493881.i | −0.435734 | − | 0.754714i | |||||
−275192. | + | 476646.i | −0.415611 | + | 0.719859i | |||||
−5181.90 | + | 8975.32i | −0.00773490 | + | 0.0133972i | |||||
41207.8 | + | 71374.1i | 0.0607972 | + | 0.105304i | |||||
46656.0 | 0.0680414 | |||||||||
0 | 0 | |||||||||
442615. | 0.630790 | |||||||||
185705. | + | 321651.i | 0.261646 | + | 0.453184i | |||||
61262.3 | − | 106109.i | 0.0853368 | − | 0.147808i | |||||
294953. | − | 510873.i | 0.406230 | − | 0.703610i | |||||
−230258. | − | 398819.i | −0.313568 | − | 0.543116i | |||||
−526194. | −0.708572 | −0.354286 | − | 0.935137i | ||||||
−0.354286 | + | 0.935137i | ||||||||
0 | 0 | |||||||||
−212147. | −0.279370 | |||||||||
387821. | + | 671725.i | 0.505080 | + | 0.874824i | |||||
−490802. | + | 850095.i | −0.632182 | + | 1.09497i | 0.354923 | + | 0.934896i | ||
−0.987105 | + | 0.160076i | ||||||||
73886.5 | − | 127975.i | 0.0941300 | − | 0.163038i | |||||
−42540.5 | − | 73682.3i | −0.0536061 | − | 0.0928484i | 0.837977 | − | 0.545705i | ||
−0.891583 | + | 0.452857i | ||||||||
−127939. | −0.159472 | |||||||||
0 | 0 | |||||||||
333954. | 0.407349 | |||||||||
−56561.4 | − | 97967.3i | −0.0682544 | − | 0.118220i | 0.829879 | − | 0.557944i | ||
−0.898133 | + | 0.439724i | ||||||||
−118003. | + | 204388.i | −0.140882 | + | 0.244014i | |||||
−104738. | + | 181411.i | −0.123718 | + | 0.214286i | |||||
−243009. | − | 420905.i | −0.284016 | − | 0.491931i | |||||
−315004. | −0.364288 | |||||||||
0 | 0 | |||||||||
−895100. | −1.01362 | −0.506812 | − | 0.862057i | ||||||
−0.506812 | + | 0.862057i | ||||||||
25911.2 | + | 44879.5i | 0.0290375 | + | 0.0502944i | |||||
263857. | − | 457014.i | 0.292635 | − | 0.506859i | −0.681797 | − | 0.731542i | ||
0.974432 | + | 0.224683i | ||||||||
90273.6 | − | 156358.i | 0.0990883 | − | 0.171626i | |||||
−29524.5 | − | 51137.9i | −0.0320750 | − | 0.0555556i | |||||
−514980. | −0.553753 | |||||||||
0 | 0 | |||||||||
−42246.2 | −0.0445092 | |||||||||
373751. | + | 647355.i | 0.389798 | + | 0.675150i | |||||
−225208. | + | 390071.i | −0.232517 | + | 0.402731i | |||||
387868. | − | 671808.i | 0.396448 | − | 0.686668i | |||||
−258396. | − | 447556.i | −0.261479 | − | 0.452894i | |||||
1.19293e6 | 1.19517 | 0.597584 | − | 0.801806i | ||||||
0.597584 | + | 0.801806i | ||||||||
0 | 0 | |||||||||
484147. | 0.475528 | |||||||||
−54858.5 | − | 95017.7i | −0.0533531 | − | 0.0924102i | |||||
−81969.1 | + | 141975.i | −0.0789405 | + | 0.136729i | |||||
−32768.0 | + | 56755.8i | −0.0312500 | + | 0.0541266i | |||||
−597462. | − | 1.03483e6i | −0.564257 | − | 0.977322i | −0.997118 | − | 0.0758617i | ||
0.432861 | − | 0.901461i | ||||||||
131910. | 0.123375 | |||||||||
0 | 0 | |||||||||
−262140. | −0.240492 | |||||||||
−211330. | − | 366035.i | −0.192026 | − | 0.332599i | |||||
300752. | − | 520917.i | 0.270679 | − | 0.468830i | |||||
1.06115e6 | − | 1.83797e6i | 0.945993 | − | 1.63851i | 0.192244 | − | 0.981347i | ||
0.753750 | − | 0.657161i | ||||||||
−98053.0 | − | 169833.i | −0.0865867 | − | 0.149972i | |||||
−801690. | −0.701280 | |||||||||
0 | 0 | |||||||||
−701933. | −0.602584 | |||||||||
−170809. | − | 295849.i | −0.145269 | − | 0.251613i | |||||
77488.3 | − | 134214.i | 0.0652913 | − | 0.113088i | −0.831532 | − | 0.555477i | ||
0.896823 | + | 0.442389i | ||||||||
32793.8 | − | 56800.6i | 0.0273768 | − | 0.0474180i | |||||
979439. | + | 1.69644e6i | 0.810129 | + | 1.40318i | 0.912773 | + | 0.408466i | ||
−0.102645 | + | 0.994718i | ||||||||
−207321. | −0.169911 | |||||||||
0 | 0 | |||||||||
384408. | 0.309326 | |||||||||
445851. | + | 772236.i | 0.355515 | + | 0.615770i | |||||
−102386. | + | 177338.i | −0.0809038 | + | 0.140129i | |||||
874763. | − | 1.51513e6i | 0.685001 | − | 1.18646i | −0.288436 | − | 0.957499i | ||
0.973437 | − | 0.228957i | ||||||||
201709. | + | 349370.i | 0.156536 | + | 0.271128i | |||||
570057. | 0.438438 | |||||||||
0 | 0 | |||||||||
1.40665e6 | 1.06272 | 0.531361 | − | 0.847145i | ||||||
0.531361 | + | 0.847145i | ||||||||
167637. | + | 290357.i | 0.125530 | + | 0.217425i | |||||
978536. | − | 1.69487e6i | 0.726291 | − | 1.25797i | −0.232150 | − | 0.972680i | ||
0.958441 | − | 0.285292i | ||||||||
−489230. | + | 847371.i | −0.359929 | + | 0.623416i | |||||
−103868. | − | 179904.i | −0.0757474 | − | 0.131198i | |||||
991991. | 0.717121 | |||||||||
0 | 0 | |||||||||
82944.0 | 0.0589256 | |||||||||
382002. | + | 661648.i | 0.269043 | + | 0.465996i | |||||
234732. | − | 406567.i | 0.163899 | − | 0.283882i | |||||
−727944. | + | 1.26084e6i | −0.503925 | + | 0.872823i | |||||
330142. | + | 571823.i | 0.226592 | + | 0.392469i | |||||
1.26998e6 | 0.864229 | 0.432114 | − | 0.901819i | ||||||
0.432114 | + | 0.901819i | ||||||||
0 | 0 | |||||||||
−683232. | −0.457102 | |||||||||
−409348. | − | 709011.i | −0.271558 | − | 0.470353i | |||||
−124098. | + | 214945.i | −0.0816347 | + | 0.141395i | |||||
721888. | − | 1.25035e6i | 0.470901 | − | 0.815624i | |||||
−517915. | − | 897055.i | −0.335027 | − | 0.580285i | |||||
−377150. | −0.241942 | |||||||||
0 | 0 | |||||||||
−1.73622e6 | −1.09544 | |||||||||
−296345. | − | 513284.i | −0.185435 | − | 0.321182i | |||||
131354. | − | 227511.i | 0.0815190 | − | 0.141195i | |||||
−361972. | + | 626954.i | −0.222805 | + | 0.385910i | |||||
131195. | + | 227237.i | 0.0800967 | + | 0.138731i | |||||
41854.4 | 0.0253451 | 0.0126726 | − | 0.999920i | ||||||
0.0126726 | + | 0.999920i | ||||||||
0 | 0 | |||||||||
−1.17178e6 | −0.698154 | |||||||||
316591. | + | 548351.i | 0.187109 | + | 0.324082i | |||||
−1.14595e6 | + | 1.98484e6i | −0.671837 | + | 1.16366i | 0.305546 | + | 0.952177i | ||
−0.977383 | + | 0.211478i | ||||||||
−209784. | + | 363356.i | −0.122007 | + | 0.211323i | |||||
1.13575e6 | + | 1.96717e6i | 0.655271 | + | 1.13496i | 0.981826 | + | 0.189785i | ||
−0.326555 | + | 0.945178i | ||||||||
2.04639e6 | 1.17129 | |||||||||
0 | 0 | |||||||||
−560007. | −0.315483 | |||||||||
992372. | + | 1.71884e6i | 0.554659 | + | 0.960698i | 0.997930 | + | 0.0643100i | ||
−0.443271 | + | 0.896388i | ||||||||
−641570. | + | 1.11123e6i | −0.355776 | + | 0.616222i | |||||
−888270. | + | 1.53853e6i | −0.488729 | + | 0.846504i | |||||
46064.3 | + | 79785.8i | 0.0251472 | + | 0.0435562i | |||||
23318.6 | 0.0126310 | |||||||||
0 | 0 | |||||||||
831066. | 0.443230 | |||||||||
−52488.0 | − | 90911.9i | −0.0277778 | − | 0.0481125i | |||||
953895. | − | 1.65219e6i | 0.500947 | − | 0.867666i | |||||
502539. | − | 870423.i | 0.261894 | − | 0.453614i | |||||
−497942. | − | 862460.i | −0.257519 | − | 0.446036i | |||||
−75104.3 | −0.0385461 | |||||||||
0 | 0 | |||||||||
−275680. | −0.139354 | |||||||||
−319230. | − | 552923.i | −0.160153 | − | 0.277393i | 0.774771 | − | 0.632242i | ||
−0.934923 | + | 0.354850i | ||||||||
689544. | − | 1.19432e6i | 0.343334 | − | 0.594672i | |||||
−518080. | + | 897342.i | −0.256027 | + | 0.443453i | |||||
838553. | + | 1.45242e6i | 0.411305 | + | 0.712402i | |||||
−480236. | −0.233799 | |||||||||
0 | 0 | |||||||||
2.72026e6 | 1.30478 | 0.652388 | − | 0.757886i | ||||||
0.652388 | + | 0.757886i | ||||||||
−318593. | − | 551820.i | −0.151686 | − | 0.262727i | |||||
872597. | − | 1.51138e6i | 0.412396 | − | 0.714291i | |||||
−145723. | + | 252399.i | −0.0683645 | + | 0.118411i | |||||
−1.19804e6 | − | 2.07507e6i | −0.557938 | − | 0.966377i | |||||
−332489. | −0.153714 | |||||||||
0 | 0 | |||||||||
234507. | 0.106846 | |||||||||
143932. | + | 249297.i | 0.0651041 | + | 0.112764i | |||||
−922753. | + | 1.59825e6i | −0.414376 | + | 0.717721i | |||||
−1.31038e6 | + | 2.26965e6i | −0.584217 | + | 1.01189i | 0.410755 | + | 0.911746i | ||
−0.994973 | + | 0.100148i | ||||||||
−375698. | − | 650729.i | −0.166300 | − | 0.288039i | |||||
−575592. | −0.252960 | −0.126480 | − | 0.991969i | ||||||
−0.126480 | + | 0.991969i | ||||||||
0 | 0 | |||||||||
531015. | 0.230059 | |||||||||
−174316. | − | 301925.i | −0.0749862 | − | 0.129880i | |||||
−1.29486e6 | + | 2.24276e6i | −0.553077 | + | 0.957957i | 0.444974 | + | 0.895544i | ||
−0.998050 | + | 0.0624135i | ||||||||
−546771. | + | 947036.i | −0.231898 | + | 0.401660i | |||||
687746. | + | 1.19121e6i | 0.289639 | + | 0.501669i | |||||
−1.24788e6 | −0.521853 | |||||||||
0 | 0 | |||||||||
2.96682e6 | 1.22344 | |||||||||
−1.43389e6 | − | 2.48358e6i | −0.587193 | − | 1.01705i | −0.994598 | − | 0.103801i | ||
0.407405 | − | 0.913248i | ||||||||
58300.2 | − | 100979.i | 0.0237090 | − | 0.0410652i | |||||
711505. | − | 1.23236e6i | 0.287349 | − | 0.497703i | |||||
602742. | + | 1.04398e6i | 0.241746 | + | 0.418717i | |||||
−406231. | −0.161811 | |||||||||
0 | 0 | |||||||||
928210. | 0.364682 | |||||||||
579352. | + | 1.00347e6i | 0.226069 | + | 0.391562i | |||||
−977255. | + | 1.69265e6i | −0.378741 | + | 0.655999i | −0.990879 | − | 0.134752i | ||
0.612138 | + | 0.790751i | ||||||||
−182020. | + | 315268.i | −0.0700647 | + | 0.121356i | |||||
47527.0 | + | 82319.1i | 0.0181708 | + | 0.0314728i | |||||
−1.15090e6 | −0.437052 | |||||||||
0 | 0 | |||||||||
1.01344e6 | 0.379698 | |||||||||
−1.10555e6 | − | 1.91486e6i | −0.411439 | − | 0.712633i | 0.583608 | − | 0.812035i | ||
−0.995047 | + | 0.0994020i | ||||||||
551444. | − | 955129.i | 0.203855 | − | 0.353088i | |||||
−581392. | + | 1.00700e6i | −0.213496 | + | 0.369787i | |||||
298022. | + | 516190.i | 0.108712 | + | 0.188295i | |||||
3.80090e6 | 1.37731 | |||||||||
0 | 0 | |||||||||
3.81232e6 | 1.36330 | 0.681649 | − | 0.731679i | ||||||
0.681649 | + | 0.731679i | ||||||||
−184653. | − | 319829.i | −0.0655992 | − | 0.113621i | |||||
−123432. | + | 213790.i | −0.0435626 | + | 0.0754526i | |||||
−526365. | + | 911691.i | −0.184556 | + | 0.319661i | |||||
1.90303e6 | + | 3.29614e6i | 0.662901 | + | 1.14818i | 0.979850 | + | 0.199735i | ||
−0.316949 | + | 0.948442i | ||||||||
147456. | 0.0510310 | |||||||||
0 | 0 | |||||||||
−3.32451e6 | −1.13569 | |||||||||
−148399. | − | 257034.i | −0.0503678 | − | 0.0872395i | |||||
−1.29412e6 | + | 2.24149e6i | −0.436411 | + | 0.755887i | |||||
−1.53762e6 | + | 2.66324e6i | −0.515200 | + | 0.892352i | 0.484645 | + | 0.874711i | ||
−0.999844 | + | 0.0176410i | ||||||||
294908. | + | 510796.i | 0.0981805 | + | 0.170054i | |||||
−1.15163e6 | −0.380952 | |||||||||
0 | 0 | |||||||||
−1.35338e6 | −0.442017 | |||||||||
2.10842e6 | + | 3.65190e6i | 0.684254 | + | 1.18516i | |||||
−393621. | + | 681772.i | −0.126936 | + | 0.219860i | |||||
−220619. | + | 382124.i | −0.0706977 | + | 0.122452i | |||||
1.09566e6 | + | 1.89774e6i | 0.348900 | + | 0.604312i | 0.986054 | − | 0.166424i | ||
−0.637154 | + | 0.770736i | ||||||||
−2.79427e6 | −0.884221 | |||||||||
0 | 0 | |||||||||
−670488. | −0.209528 | |||||||||
−888340. | − | 1.53865e6i | −0.275879 | − | 0.477836i | 0.694478 | − | 0.719514i | ||
−0.970356 | + | 0.241678i | ||||||||
−384319. | + | 665661.i | −0.118612 | + | 0.205441i | |||||
−2.56320e6 | + | 4.43960e6i | −0.786177 | + | 1.36170i | |||||
−526835. | − | 912505.i | −0.160591 | − | 0.278152i | |||||
−147572. | −0.0447061 | |||||||||
0 | 0 | |||||||||
4.35522e6 | 1.30324 | |||||||||
233236. | + | 403976.i | 0.0693657 | + | 0.120145i | |||||
1.18059e6 | − | 2.04484e6i | 0.348973 | − | 0.604438i | −0.637095 | − | 0.770786i | ||
0.986067 | + | 0.166347i | ||||||||
−52789.8 | + | 91434.6i | −0.0155092 | + | 0.0268628i | |||||
−432459. | − | 749041.i | −0.126282 | − | 0.218726i | |||||
−2.08317e6 | −0.604619 | |||||||||
0 | 0 | |||||||||
460738. | 0.132115 | |||||||||
−969341. | − | 1.67895e6i | −0.276284 | − | 0.478539i | |||||
−372949. | + | 645966.i | −0.105661 | + | 0.183011i | |||||
453845. | − | 786082.i | 0.127811 | − | 0.221375i | |||||
698765. | + | 1.21030e6i | 0.195610 | + | 0.338806i | |||||
3.23493e6 | 0.900181 | 0.450090 | − | 0.892983i | ||||||
0.450090 | + | 0.892983i | ||||||||
0 | 0 | |||||||||
−2.85759e6 | −0.785769 | −0.392884 | − | 0.919588i | ||||||
−0.392884 | + | 0.919588i | ||||||||
199387. | + | 345349.i | 0.0545025 | + | 0.0944010i | |||||
377184. | − | 653302.i | 0.102495 | − | 0.177527i | |||||
−1.14057e6 | + | 1.97552e6i | −0.308111 | + | 0.533664i | |||||
−1.06053e6 | − | 1.83690e6i | −0.284808 | − | 0.493301i | |||||
2.20153e6 | 0.587762 | |||||||||
0 | 0 | |||||||||
41455.2 | 0.0109388 | |||||||||
−1.11599e6 | − | 1.93295e6i | −0.292764 | − | 0.507081i | |||||
164831. | − | 285496.i | 0.0429901 | − | 0.0744611i | |||||
44193.1 | − | 76544.7i | 0.0114594 | − | 0.0198482i | −0.860239 | − | 0.509891i | ||
0.871698 | + | 0.490043i | ||||||||
−93312.0 | − | 161621.i | −0.0240563 | − | 0.0416667i | |||||
3.09418e6 | 0.793097 | 0.396549 | − | 0.918014i | ||||||
0.396549 | + | 0.918014i | ||||||||
0 | 0 | |||||||||
−1.05629e6 | −0.267646 | |||||||||
−885230. | − | 1.53326e6i | −0.223018 | − | 0.386278i | |||||
729645. | − | 1.26378e6i | 0.182771 | − | 0.316569i | |||||
742820. | − | 1.28660e6i | 0.185011 | − | 0.320449i | |||||
242589. | + | 420177.i | 0.0600773 | + | 0.104057i | 0.894500 | − | 0.447068i | ||
−0.834422 | + | 0.551125i | ||||||||
−490098. | −0.120684 | |||||||||
0 | 0 | |||||||||
−2.35962e6 | −0.574495 | |||||||||
−637598. | − | 1.10435e6i | −0.154361 | − | 0.267361i | 0.778465 | − | 0.627688i | ||
−0.932826 | + | 0.360327i | ||||||||
−921032. | + | 1.59527e6i | −0.221726 | + | 0.384041i | |||||
−877118. | + | 1.51921e6i | −0.209970 | + | 0.363679i | |||||
1.05239e6 | + | 1.82279e6i | 0.250518 | + | 0.433910i | |||||
−3.24850e6 | −0.768978 | |||||||||
0 | 0 | |||||||||
−3.79144e6 | −0.887541 | −0.443770 | − | 0.896141i | ||||||
−0.443770 | + | 0.896141i | ||||||||
424293. | + | 734898.i | 0.0987722 | + | 0.171079i | |||||
199767. | − | 346006.i | 0.0462468 | − | 0.0801019i | |||||
1.55128e6 | − | 2.68690e6i | 0.357145 | − | 0.618594i | |||||
1.95325e6 | + | 3.38313e6i | 0.447211 | + | 0.774592i | |||||
3.92642e6 | 0.894040 | |||||||||
0 | 0 | |||||||||
−591092. | −0.133120 | |||||||||
−851404. | − | 1.47467e6i | −0.190698 | − | 0.330298i | 0.754784 | − | 0.655973i | ||
−0.945482 | + | 0.325675i | ||||||||
−170162. | + | 294729.i | −0.0379052 | + | 0.0656537i | |||||
295189. | − | 511283.i | 0.0653986 | − | 0.113274i | |||||
255878. | + | 443194.i | 0.0563818 | + | 0.0976562i | |||||
−4.55537e6 | −0.998323 | −0.499161 | − | 0.866509i | ||||||
−0.499161 | + | 0.866509i | ||||||||
0 | 0 | |||||||||
5.82647e6 | 1.26314 | 0.631572 | − | 0.775317i | ||||||
0.631572 | + | 0.775317i | ||||||||
−667908. | − | 1.15685e6i | −0.144020 | − | 0.249449i | |||||
712329. | − | 1.23379e6i | 0.152774 | − | 0.264612i | |||||
−226246. | + | 391869.i | −0.0482631 | + | 0.0835942i | |||||
−1.77131e6 | − | 3.06799e6i | −0.375839 | − | 0.650972i | 0.614614 | − | 0.788828i | ||
−0.990452 | + | 0.137857i | ||||||||
944027. | 0.199237 | |||||||||
0 | 0 | |||||||||
837902. | 0.174964 | |||||||||
−2.30218e6 | − | 3.98750e6i | −0.478176 | − | 0.828225i | |||||
−972038. | + | 1.68362e6i | −0.200830 | + | 0.347847i | |||||
−623754. | + | 1.08037e6i | −0.128192 | + | 0.222035i | |||||
630008. | + | 1.09121e6i | 0.128795 | + | 0.223080i | |||||
2.68772e6 | 0.546575 | |||||||||
0 | 0 | |||||||||
2.88707e6 | 0.580979 | |||||||||
1.79020e6 | + | 3.10072e6i | 0.358370 | + | 0.620715i | |||||
−2.11771e6 | + | 3.66798e6i | −0.421723 | + | 0.730446i | −0.996108 | − | 0.0881390i | ||
0.574385 | + | 0.818585i | ||||||||
103645. | − | 179518.i | 0.0205326 | − | 0.0355635i | |||||
−4.65899e6 | − | 8.06960e6i | −0.918182 | − | 1.59034i | |||||
−2.11086e6 | −0.413849 | |||||||||
0 | 0 | |||||||||
−722189. | −0.140132 | |||||||||
1.81924e6 | + | 3.15102e6i | 0.351185 | + | 0.608270i | |||||
−118098. | + | 204552.i | −0.0226805 | + | 0.0392837i | |||||
2.82740e6 | − | 4.89719e6i | 0.540212 | − | 0.935675i | −0.458679 | − | 0.888602i | ||
0.998891 | − | 0.0470729i | ||||||||
1.02996e6 | + | 1.78394e6i | 0.195781 | + | 0.339103i | |||||
−2.26142e6 | −0.427671 | |||||||||
0 | 0 | |||||||||
8.33183e6 | 1.55968 | 0.779842 | − | 0.625976i | ||||||
0.779842 | + | 0.625976i | ||||||||
84492.4 | + | 146345.i | 0.0157364 | + | 0.0272562i | |||||
2.11290e6 | − | 3.65966e6i | 0.391528 | − | 0.678146i | |||||
1.49500e6 | − | 2.58942e6i | 0.275629 | − | 0.477403i | |||||
310140. | + | 537179.i | 0.0568912 | + | 0.0985384i | |||||
1.80166e6 | 0.328828 | |||||||||
0 | 0 | |||||||||
−3.10295e6 | −0.560662 | |||||||||
3.61884e6 | + | 6.26802e6i | 0.650607 | + | 1.12688i | 0.982976 | + | 0.183734i | ||
−0.332369 | + | 0.943149i | ||||||||
−1.03359e6 | + | 1.79022e6i | −0.184893 | + | 0.320245i | |||||
1.88674e6 | − | 3.26794e6i | 0.335829 | − | 0.581674i | |||||
−2.38585e6 | − | 4.13242e6i | −0.422556 | − | 0.731888i | |||||
6.16761e6 | 1.08692 | 0.543459 | − | 0.839436i | ||||||
0.543459 | + | 0.839436i | ||||||||
0 | 0 | |||||||||
−1.48122e6 | −0.258459 | |||||||||
−968294. | − | 1.67713e6i | −0.168124 | − | 0.291200i | |||||
−716835. | + | 1.24159e6i | −0.123851 | + | 0.214516i | |||||
−219434. | + | 380071.i | −0.0377263 | + | 0.0653439i | |||||
917439. | + | 1.58905e6i | 0.156958 | + | 0.271859i | 0.933770 | − | 0.357873i | ||
−0.776812 | + | 0.629732i | ||||||||
655753. | 0.111639 | |||||||||
0 | 0 | |||||||||
262144. | 0.0441942 | |||||||||
374050. | + | 647874.i | 0.0627533 | + | 0.108692i | |||||
−2.38985e6 | + | 4.13934e6i | −0.398990 | + | 0.691071i | |||||
−1.46423e6 | + | 2.53612e6i | −0.243272 | + | 0.421359i | |||||
−263820. | − | 456950.i | −0.0436198 | − | 0.0755517i | |||||
−3.17079e6 | −0.521724 | |||||||||
0 | 0 | |||||||||
4.15239e6 | 0.676674 | |||||||||
524281. | + | 908081.i | 0.0850268 | + | 0.147271i | |||||
2.65520e6 | − | 4.59894e6i | 0.428551 | − | 0.742273i | −0.568193 | − | 0.822895i | ||
0.996745 | + | 0.0806224i | ||||||||
−845321. | + | 1.46414e6i | −0.135783 | + | 0.235183i | |||||
−1.49418e6 | − | 2.58799e6i | −0.238862 | − | 0.413722i | 0.721526 | − | 0.692388i | ||
−0.960388 | + | 0.278666i | ||||||||
−2.40601e6 | −0.382798 | |||||||||
0 | 0 | |||||||||
−8.48921e6 | −1.33784 | |||||||||
2.84975e6 | + | 4.93591e6i | 0.446972 | + | 0.774178i | |||||
−392212. | + | 679331.i | −0.0612260 | + | 0.106047i | |||||
2.20709e6 | − | 3.82279e6i | 0.342910 | − | 0.593937i | |||||
1.60338e6 | + | 2.77713e6i | 0.247940 | + | 0.429445i | |||||
2.46047e6 | 0.378688 | |||||||||
0 | 0 | |||||||||
−854800. | −0.130331 | |||||||||
1.40387e6 | + | 2.43157e6i | 0.213046 | + | 0.369006i | |||||
29138.3 | − | 50469.0i | 0.00440128 | − | 0.00762325i | |||||
−683235. | + | 1.18340e6i | −0.102721 | + | 0.177917i | |||||
−3.33768e6 | − | 5.78102e6i | −0.499469 | − | 0.865105i | |||||
−619907. | −0.0923359 | |||||||||
0 | 0 | |||||||||
−262351. | −0.0387167 | |||||||||
−1.08416e6 | − | 1.87782e6i | −0.159258 | − | 0.275843i | 0.775343 | − | 0.631540i | ||
−0.934601 | + | 0.355697i | ||||||||
3.91775e6 | − | 6.78575e6i | 0.572848 | − | 0.992201i | |||||
1.35617e6 | − | 2.34895e6i | 0.197385 | − | 0.341881i | |||||
414642. | + | 718180.i | 0.0600725 | + | 0.104049i | |||||
−2.48886e6 | −0.358930 | |||||||||
0 | 0 | |||||||||
−9.13272e6 | −1.30506 | −0.652532 | − | 0.757761i | ||||||
−0.652532 | + | 0.757761i | ||||||||
−768816. | − | 1.33163e6i | −0.109363 | − | 0.189423i | |||||
1.30354e6 | − | 2.25780e6i | 0.184584 | − | 0.319709i | |||||
1.78340e6 | − | 3.08894e6i | 0.251387 | − | 0.435415i | |||||
2.67738e6 | + | 4.63735e6i | 0.375691 | + | 0.650715i | |||||
819090. | 0.114415 | |||||||||
0 | 0 | |||||||||
−6.99810e6 | −0.968737 | |||||||||
1.29476e6 | + | 2.24259e6i | 0.178426 | + | 0.309042i | |||||
806835. | − | 1.39748e6i | 0.110687 | − | 0.191716i | |||||
4.61014e6 | − | 7.98500e6i | 0.629617 | − | 1.09053i | −0.358012 | − | 0.933717i | ||
0.987629 | − | 0.156811i | ||||||||
−1.14011e6 | − | 1.97474e6i | −0.155011 | − | 0.268487i | |||||
2.66904e6 | 0.361264 | |||||||||
0 | 0 | |||||||||
−2.48150e6 | −0.332894 | |||||||||
−2.81330e6 | − | 4.87277e6i | −0.375729 | − | 0.650782i | |||||
4.24638e6 | − | 7.35495e6i | 0.564610 | − | 0.977933i | −0.432476 | − | 0.901645i | ||
0.997086 | − | 0.0762872i | ||||||||
670550. | − | 1.16143e6i | 0.0887633 | − | 0.153743i | |||||
−2.18075e6 | − | 3.77717e6i | −0.287399 | − | 0.497789i | |||||
−7.82828e6 | −1.02713 | |||||||||
0 | 0 | |||||||||
3.91384e6 | 0.509017 | |||||||||
2.35456e6 | + | 4.07822e6i | 0.304880 | + | 0.528068i | 0.977235 | − | 0.212162i | ||
−0.672355 | + | 0.740229i | ||||||||
−415470. | + | 719616.i | −0.0535615 | + | 0.0927712i | |||||
864035. | − | 1.49655e6i | 0.110902 | − | 0.192089i | −0.805232 | − | 0.592960i | ||
0.916134 | + | 0.400871i | ||||||||
−1.98398e6 | − | 3.43636e6i | −0.253541 | − | 0.439145i | |||||
2.36864e6 | 0.301379 | |||||||||
0 | 0 | |||||||||
−3.72443e6 | −0.469776 | |||||||||
−165888. | − | 287326.i | −0.0208333 | − | 0.0360844i | |||||
1.19249e6 | − | 2.06546e6i | 0.149113 | − | 0.258272i | −0.781787 | − | 0.623546i | ||
0.930900 | + | 0.365274i | ||||||||
1.52801e6 | − | 2.64659e6i | 0.190242 | − | 0.329509i | |||||
3.74007e6 | + | 6.47799e6i | 0.463643 | + | 0.803053i | |||||
−1.87785e6 | −0.231788 | |||||||||
0 | 0 | |||||||||
5.82355e6 | 0.712657 | |||||||||
−6.06750e6 | − | 1.05092e7i | −0.739330 | − | 1.28056i | |||||
1.32057e6 | − | 2.28729e6i | 0.160225 | − | 0.277517i | |||||
663543. | − | 1.14929e6i | 0.0801640 | − | 0.138848i | |||||
−2.53997e6 | − | 4.39935e6i | −0.305551 | − | 0.529230i | |||||
3.44904e6 | 0.413145 | 0.206573 | − | 0.978431i | ||||||
0.206573 | + | 0.978431i | ||||||||
0 | 0 | |||||||||
−7.22214e6 | −0.857784 | |||||||||
1.36646e6 | + | 2.36678e6i | 0.161610 | + | 0.279917i | |||||
4.74395e6 | − | 8.21676e6i | 0.558691 | − | 0.967681i | |||||
−1.63739e6 | + | 2.83604e6i | −0.192021 | + | 0.332589i | |||||
567341. | + | 982664.i | 0.0662533 | + | 0.114754i | 0.897249 | − | 0.441524i | ||
−0.830996 | + | 0.556278i | ||||||||
992786. | 0.115449 | |||||||||
0 | 0 | |||||||||
−5.77511e6 | −0.665954 | |||||||||
3.14355e6 | + | 5.44480e6i | 0.360982 | + | 0.625239i | |||||
−2.07166e6 | + | 3.58822e6i | −0.236900 | + | 0.410323i | |||||
−3.80933e6 | + | 6.59795e6i | −0.433792 | + | 0.751349i | −0.997196 | − | 0.0748320i | ||
0.563404 | + | 0.826181i | ||||||||
754299. | + | 1.30648e6i | 0.0855393 | + | 0.148158i | |||||
−9.78414e6 | −1.10493 | −0.552467 | − | 0.833535i | ||||||
−0.552467 | + | 0.833535i | ||||||||
0 | 0 | |||||||||
1.72944e6 | 0.193692 | |||||||||
3.47245e6 | + | 6.01445e6i | 0.387296 | + | 0.670817i | |||||
−507616. | + | 879217.i | −0.0563829 | + | 0.0976580i | |||||
−1.18538e6 | + | 2.05314e6i | −0.131122 | + | 0.227110i | |||||
926673. | + | 1.60504e6i | 0.102083 | + | 0.176813i | 0.912543 | − | 0.408981i | ||
−0.810460 | + | 0.585795i | ||||||||
−1.05083e6 | −0.115285 | |||||||||
0 | 0 | |||||||||
2.89578e6 | 0.315094 | |||||||||
3.39194e6 | + | 5.87501e6i | 0.367574 | + | 0.636657i | |||||
524781. | − | 908947.i | 0.0566369 | − | 0.0980980i | |||||
3.56048e6 | − | 6.16694e6i | 0.382699 | − | 0.662855i | −0.608748 | − | 0.793364i | ||
0.991447 | + | 0.130509i | ||||||||
−83708.7 | − | 144988.i | −0.00896086 | − | 0.0155207i | |||||
237554. | 0.0253265 | |||||||||
0 | 0 | |||||||||
−2.75212e6 | −0.291041 | −0.145521 | − | 0.989355i | ||||||
−0.145521 | + | 0.989355i | ||||||||
2.34357e6 | + | 4.05917e6i | 0.246835 | + | 0.427530i | |||||
−6.51660e6 | + | 1.12871e7i | −0.683588 | + | 1.18401i | 0.290291 | + | 0.956939i | ||
−0.973878 | + | 0.227070i | ||||||||
1.26636e6 | − | 2.19341e6i | 0.132306 | − | 0.229160i | |||||
−518330. | − | 897774.i | −0.0539358 | − | 0.0934196i | |||||
9.16758e6 | 0.950120 | |||||||||
0 | 0 | |||||||||
1.67827e6 | 0.172544 | |||||||||
−2.63935e6 | − | 4.57149e6i | −0.270269 | − | 0.468120i | |||||
4.54299e6 | − | 7.86869e6i | 0.463347 | − | 0.802540i | |||||
1.57222e6 | − | 2.72317e6i | 0.159715 | − | 0.276634i | |||||
−4.09277e6 | − | 7.08889e6i | −0.414112 | − | 0.717264i | |||||
−1.03597e7 | −1.04404 | |||||||||
0 | 0 | |||||||||
−4.40820e6 | −0.440745 | −0.220373 | − | 0.975416i | ||||||
−0.220373 | + | 0.975416i | ||||||||
1.12001e6 | + | 1.93992e6i | 0.111540 | + | 0.193193i | |||||
448621. | − | 777035.i | 0.0445011 | − | 0.0770781i | |||||
3.96949e6 | − | 6.87535e6i | 0.392203 | − | 0.679316i | |||||
308474. | + | 534293.i | 0.0303588 | + | 0.0525829i | |||||
5.13256e6 | 0.503143 | |||||||||
0 | 0 | |||||||||
7.10616e6 | 0.691168 | |||||||||
−2.47673e6 | − | 4.28982e6i | −0.239953 | − | 0.415611i | |||||
184257. | − | 319143.i | 0.0177818 | − | 0.0307989i | |||||
3.99195e6 | − | 6.91426e6i | 0.383742 | − | 0.664661i | −0.607851 | − | 0.794051i | ||
0.991594 | + | 0.129389i | ||||||||
−46637.1 | − | 80777.8i | −0.00446575 | − | 0.00773490i | |||||
−1.52102e6 | −0.145080 | −0.0725398 | − | 0.997366i | ||||||
−0.0725398 | + | 0.997366i | ||||||||
0 | 0 | |||||||||
−741741. | −0.0702026 | |||||||||
−1.66213e6 | − | 2.87890e6i | −0.156706 | − | 0.271422i | |||||
−6.26247e6 | + | 1.08469e7i | −0.588146 | + | 1.01870i | 0.406329 | + | 0.913727i | ||
−0.994475 | + | 0.104972i | ||||||||
−209952. | + | 363648.i | −0.0196419 | + | 0.0340207i | |||||
−5.17096e6 | − | 8.95637e6i | −0.481903 | − | 0.834681i | |||||
−7.63116e6 | −0.708447 | |||||||||
0 | 0 | |||||||||
−4.02031e6 | −0.370374 | |||||||||
8.53702e6 | + | 1.47865e7i | 0.783471 | + | 1.35701i | 0.929908 | + | 0.367792i | ||
−0.146436 | + | 0.989220i | ||||||||
−1.99177e6 | + | 3.44984e6i | −0.182093 | + | 0.315395i | |||||
−1.69115e6 | + | 2.92916e6i | −0.154021 | + | 0.266772i | |||||
150209. | + | 260169.i | 0.0136281 | + | 0.0236046i | |||||
−3.34269e6 | −0.302122 | |||||||||
0 | 0 | |||||||||
−2.12585e6 | −0.190686 | −0.0953432 | − | 0.995444i | ||||||
−0.0953432 | + | 0.995444i | ||||||||
551360. | + | 954984.i | 0.0492692 | + | 0.0853368i | |||||
−1.30005e6 | + | 2.25176e6i | −0.115733 | + | 0.200456i | −0.918073 | − | 0.396412i | ||
0.802339 | + | 0.596868i | ||||||||
−1.27692e6 | + | 2.21169e6i | −0.113245 | + | 0.196146i | |||||
2.65457e6 | + | 4.59786e6i | 0.234537 | + | 0.406230i | |||||
−5.51635e6 | −0.485547 | |||||||||
0 | 0 | |||||||||
4.14464e6 | 0.362078 | |||||||||
−3.71010e6 | − | 6.42608e6i | −0.322902 | − | 0.559283i | |||||
3.35421e6 | − | 5.80967e6i | 0.290837 | − | 0.503744i | |||||
2.36787e6 | − | 4.10128e6i | 0.204547 | − | 0.354286i | |||||
960472. | + | 1.66359e6i | 0.0826604 | + | 0.143172i | |||||
−1.09582e7 | −0.939577 | |||||||||
0 | 0 | |||||||||
−1.44746e7 | −1.23188 | −0.615942 | − | 0.787792i | ||||||
−0.615942 | + | 0.787792i | ||||||||
−5.44052e6 | − | 9.42326e6i | −0.461308 | − | 0.799008i | |||||
954660. | − | 1.65352e6i | 0.0806472 | − | 0.139685i | |||||
−1.27437e6 | + | 2.20728e6i | −0.107258 | + | 0.185776i | |||||
−1.64423e6 | − | 2.84788e6i | −0.137876 | − | 0.238809i | 0.788816 | − | 0.614629i | ||
−0.926693 | + | 0.375820i | ||||||||
−6.98077e6 | −0.583216 | |||||||||
0 | 0 | |||||||||
1.16578e6 | 0.0966819 | |||||||||
−4.41722e6 | − | 7.65085e6i | −0.364990 | − | 0.632182i | |||||
−4.79217e6 | + | 8.30027e6i | −0.394522 | + | 0.683332i | |||||
−4.40943e6 | + | 7.63736e6i | −0.361685 | + | 0.626458i | −0.988238 | − | 0.152921i | ||
0.626553 | + | 0.779379i | ||||||||
664979. | + | 1.15178e6i | 0.0543460 | + | 0.0941300i | |||||
−2.16156e6 | −0.176011 | |||||||||
0 | 0 | |||||||||
765729. | 0.0618989 | |||||||||
−469013. | − | 812355.i | −0.0377758 | − | 0.0654297i | |||||
−1.29814e7 | + | 2.24844e7i | −1.04177 | + | 1.80440i | |||||
575726. | − | 997188.i | 0.0460356 | − | 0.0797359i | |||||
−4.29808e6 | − | 7.44450e6i | −0.342436 | − | 0.593117i | 0.642448 | − | 0.766329i | ||
−0.984885 | + | 0.173212i | ||||||||
7.38202e6 | 0.586017 | |||||||||
0 | 0 | |||||||||
1.04831e7 | 0.826208 | |||||||||
−1.13423e6 | − | 1.96454e6i | −0.0890713 | − | 0.154276i | |||||
−1.50279e6 | + | 2.60291e6i | −0.117592 | + | 0.203675i | |||||
−475180. | + | 823035.i | −0.0370490 | + | 0.0641707i | |||||
1.15118e6 | + | 1.99391e6i | 0.0894348 | + | 0.154906i | |||||
1.01811e6 | 0.0788134 | |||||||||
0 | 0 | |||||||||
2.06437e7 | 1.58669 | 0.793347 | − | 0.608770i | ||||||
0.793347 | + | 0.608770i | ||||||||
−1.06203e6 | − | 1.83949e6i | −0.0813381 | − | 0.140882i | |||||
6.56364e6 | − | 1.13686e7i | 0.500906 | − | 0.867595i | |||||
−697266. | + | 1.20770e6i | −0.0530233 | + | 0.0918390i | |||||
−942640. | − | 1.63270e6i | −0.0714288 | − | 0.123718i | |||||
1.03589e7 | 0.782169 | |||||||||
0 | 0 | |||||||||
4.37417e6 | 0.327954 | |||||||||
213441. | + | 369691.i | 0.0159464 | + | 0.0276200i | 0.873888 | − | 0.486126i | ||
−0.857942 | + | 0.513746i | ||||||||
2.75098e6 | − | 4.76484e6i | 0.204806 | − | 0.354734i | |||||
1.41752e6 | − | 2.45521e6i | 0.105161 | − | 0.182144i | |||||
2.49576e6 | + | 4.32279e6i | 0.184503 | + | 0.319569i | |||||
1.00079e7 | 0.737257 | |||||||||
0 | 0 | |||||||||
−5.57805e6 | −0.408054 | |||||||||
−5.93365e6 | − | 1.02774e7i | −0.432553 | − | 0.749203i | |||||
4.02795e6 | − | 6.97662e6i | 0.292608 | − | 0.506812i | |||||
−5.73558e6 | + | 9.93431e6i | −0.415208 | + | 0.719162i | |||||
1.90362e6 | + | 3.29716e6i | 0.137328 | + | 0.237858i | 0.926484 | − | 0.376334i | ||
−0.789157 | + | 0.614192i | ||||||||
−466401. | −0.0335296 | |||||||||
0 | 0 | |||||||||
−5.69204e6 | −0.406373 | |||||||||
2.37472e6 | + | 4.11313e6i | 0.168953 | + | 0.292635i | |||||
2.41097e6 | − | 4.17592e6i | 0.170940 | − | 0.296077i | |||||
6.83326e6 | − | 1.18356e7i | 0.482817 | − | 0.836264i | |||||
812463. | + | 1.40723e6i | 0.0572087 | + | 0.0990883i | |||||
2.22044e7 | 1.55813 | 0.779065 | − | 0.626943i | ||||||
0.779065 | + | 0.626943i | ||||||||
0 | 0 | |||||||||
531441. | 0.0370370 | |||||||||
−1.85642e6 | − | 3.21541e6i | −0.128934 | − | 0.223321i | |||||
1.48371e6 | − | 2.56986e6i | 0.102696 | − | 0.177875i | |||||
2.31741e6 | − | 4.01387e6i | 0.159855 | − | 0.276876i | |||||
−1.45286e7 | − | 2.51643e7i | −0.998766 | − | 1.72991i | −0.542401 | − | 0.840120i | ||
−0.456365 | − | 0.889793i | ||||||||
7.81804e6 | 0.535621 | |||||||||
0 | 0 | |||||||||
1.45616e6 | 0.0990865 | |||||||||
−3.63461e6 | − | 6.29533e6i | −0.246484 | − | 0.426923i | |||||
190108. | − | 329276.i | 0.0128487 | − | 0.0222546i | |||||
−1.06761e7 | + | 1.84916e7i | −0.719122 | + | 1.24556i | 0.242226 | + | 0.970220i | ||
−0.961348 | + | 0.275337i | ||||||||
2.30180e6 | + | 3.98683e6i | 0.154521 | + | 0.267638i | |||||
−6.72751e6 | −0.450100 | |||||||||
0 | 0 | |||||||||
3.91874e6 | 0.260420 | 0.130210 | − | 0.991486i | ||||||
0.130210 | + | 0.991486i | ||||||||
−2.02687e6 | − | 3.51064e6i | −0.134244 | − | 0.232517i | |||||
−4.05924e6 | + | 7.03081e6i | −0.267950 | + | 0.464103i | |||||
−4.42219e6 | + | 7.65946e6i | −0.290931 | + | 0.503908i | |||||
3.49081e6 | + | 6.04627e6i | 0.228889 | + | 0.396448i | |||||
−4.41155e6 | −0.288295 | |||||||||
0 | 0 | |||||||||
4.65113e6 | 0.301930 | |||||||||
−2.83456e6 | − | 4.90960e6i | −0.183394 | − | 0.317648i | 0.759640 | − | 0.650344i | ||
−0.943034 | + | 0.332696i | ||||||||
1.19209e6 | − | 2.06476e6i | 0.0768713 | − | 0.133145i | |||||
−5.36817e6 | + | 9.29794e6i | −0.345015 | + | 0.597584i | |||||
−7.60180e6 | − | 1.31667e7i | −0.486954 | − | 0.843429i | |||||
9.76293e6 | 0.623323 | |||||||||
0 | 0 | |||||||||
−1.91706e7 | −1.21590 | −0.607949 | − | 0.793976i | ||||||
−0.607949 | + | 0.793976i | ||||||||
−7.62463e6 | − | 1.32063e7i | −0.481999 | − | 0.834846i | |||||
−2.17866e6 | + | 3.77355e6i | −0.137273 | + | 0.237764i | |||||
−738614. | + | 1.27932e6i | −0.0463856 | + | 0.0803423i | |||||
7.31680e6 | + | 1.26731e7i | 0.457993 | + | 0.793268i | 0.998855 | − | 0.0478438i | ||
−0.540861 | + | 0.841112i | ||||||||
987453. | 0.0616068 | |||||||||
0 | 0 | |||||||||
4.21092e6 | 0.261002 | |||||||||
−737722. | − | 1.27777e6i | −0.0455763 | − | 0.0789405i | |||||
7.61212e6 | − | 1.31846e7i | 0.468742 | − | 0.811884i | |||||
−1.10632e7 | + | 1.91621e7i | −0.679038 | + | 1.17613i | |||||
−294912. | − | 510803.i | −0.0180422 | − | 0.0312500i | |||||
−1.57337e7 | −0.959432 | −0.479716 | − | 0.877424i | ||||||
−0.479716 | + | 0.877424i | ||||||||
0 | 0 | |||||||||
1.07543e7 | 0.651548 | |||||||||
6.64902e6 | + | 1.15164e7i | 0.401526 | + | 0.695464i | |||||
2.02452e6 | − | 3.50658e6i | 0.121864 | − | 0.211074i | −0.798639 | − | 0.601810i | ||
0.920503 | + | 0.390736i | ||||||||
−593595. | + | 1.02814e6i | −0.0356154 | + | 0.0616877i | |||||
9.21626e6 | + | 1.59630e7i | 0.551189 | + | 0.954687i | |||||
1.03530e7 | 0.617179 | |||||||||
0 | 0 | |||||||||
1.23010e7 | 0.728602 | |||||||||
−602126. | − | 1.04291e6i | −0.0355504 | − | 0.0615750i | |||||
1.17963e6 | − | 2.04318e6i | 0.0694241 | − | 0.120246i | |||||
−1.04103e7 | + | 1.80311e7i | −0.610708 | + | 1.05778i | |||||
2.30325e6 | + | 3.98935e6i | 0.134687 | + | 0.233284i | |||||
3.80395e6 | 0.221733 | |||||||||
0 | 0 | |||||||||
−1.15070e7 | −0.666481 | |||||||||
2.70677e6 | + | 4.68826e6i | 0.156277 | + | 0.270679i | |||||
−1.08056e7 | + | 1.87158e7i | −0.621886 | + | 1.07714i | 0.367248 | + | 0.930123i | ||
−0.989134 | + | 0.147015i | ||||||||
8.43369e6 | − | 1.46076e7i | 0.483840 | − | 0.838036i | |||||
9.55037e6 | + | 1.65417e7i | 0.546170 | + | 0.945993i | |||||
3.14897e6 | 0.179515 | |||||||||
0 | 0 | |||||||||
1.76495e6 | 0.0999817 | |||||||||
1.17225e7 | + | 2.03039e7i | 0.661968 | + | 1.14656i | |||||
4.38265e6 | − | 7.59098e6i | 0.246709 | − | 0.427313i | |||||
3.60760e6 | − | 6.24855e6i | 0.202442 | − | 0.350640i | |||||
5.58854e6 | + | 9.67964e6i | 0.312619 | + | 0.541473i | |||||
−1.38162e7 | −0.770445 | −0.385222 | − | 0.922824i | ||||||
−0.385222 | + | 0.922824i | ||||||||
0 | 0 | |||||||||
7.54226e6 | 0.417960 | |||||||||
1.34098e6 | + | 2.32264e6i | 0.0740792 | + | 0.128309i | |||||
3.15870e6 | − | 5.47103e6i | 0.173951 | − | 0.301292i | |||||
−3.55336e6 | + | 6.15460e6i | −0.195076 | + | 0.337881i | |||||
7.02505e6 | + | 1.21678e7i | 0.384469 | + | 0.665919i | |||||
3.07456e6 | 0.167742 | |||||||||
0 | 0 | |||||||||
2.05056e7 | 1.11182 | |||||||||
697395. | + | 1.20792e6i | 0.0376960 | + | 0.0652913i | |||||
−2.10734e6 | + | 3.65002e6i | −0.113555 | + | 0.196683i | |||||
1.75378e7 | − | 3.03764e7i | 0.942116 | − | 1.63179i | 0.180691 | − | 0.983540i | ||
0.761425 | − | 0.648253i | ||||||||
295145. | + | 511205.i | 0.0158060 | + | 0.0273768i | |||||
−6.56287e6 | −0.350382 | −0.175191 | − | 0.984534i | ||||||
−0.175191 | + | 0.984534i | ||||||||
0 | 0 | |||||||||
−1.76299e7 | −0.935456 | |||||||||
−8.71045e6 | − | 1.50869e7i | −0.460765 | − | 0.798068i | |||||
−2.82582e6 | + | 4.89446e6i | −0.149022 | + | 0.258114i | |||||
932944. | − | 1.61591e6i | 0.0490490 | − | 0.0849553i | |||||
1.88009e6 | + | 3.25640e6i | 0.0985423 | + | 0.170680i | |||||
−9.44473e6 | −0.493522 | |||||||||
0 | 0 | |||||||||
422318. | 0.0219334 | |||||||||
889470. | + | 1.54061e6i | 0.0460547 | + | 0.0797690i | 0.888134 | − | 0.459585i | ||
−0.842079 | + | 0.539354i | ||||||||
−1.72984e6 | + | 2.99616e6i | −0.0892947 | + | 0.154663i | |||||
−9.47928e6 | + | 1.64186e7i | −0.487838 | + | 0.844960i | −0.999902 | − | 0.0139869i | ||
0.512064 | + | 0.858947i | ||||||||
4.16634e6 | + | 7.21631e6i | 0.213765 | + | 0.370252i | |||||
−8.02531e6 | −0.410513 | |||||||||
0 | 0 | |||||||||
2.82110e7 | 1.43435 | 0.717174 | − | 0.696894i | ||||||
0.717174 | + | 0.696894i | ||||||||
−921476. | − | 1.59604e6i | −0.0467098 | − | 0.0809038i | |||||
−1.12010e7 | + | 1.94008e7i | −0.566072 | + | 0.980466i | 0.430877 | + | 0.902411i | ||
−0.996949 | + | 0.0780553i | ||||||||
−3.87736e6 | + | 6.71579e6i | −0.195363 | + | 0.338378i | |||||
7.87287e6 | + | 1.36362e7i | 0.395485 | + | 0.685001i | |||||
2.98359e6 | 0.149428 | |||||||||
0 | 0 | |||||||||
−3.63076e6 | −0.180752 | |||||||||
−4.71526e6 | − | 8.16707e6i | −0.234040 | − | 0.405368i | |||||
2.79506e6 | − | 4.84118e6i | 0.138317 | − | 0.239572i | |||||
−2.56526e6 | + | 4.44316e6i | −0.126566 | + | 0.219219i | |||||
−6.46986e6 | − | 1.12061e7i | −0.318262 | − | 0.551246i | |||||
1.50303e7 | 0.737162 | 0.368581 | − | 0.929596i | ||||||
0.368581 | + | 0.929596i | ||||||||
0 | 0 | |||||||||
6.71672e6 | 0.327467 | |||||||||
5.71518e6 | + | 9.89898e6i | 0.277811 | + | 0.481183i | |||||
−6.32992e6 | + | 1.09637e7i | −0.306782 | + | 0.531361i | |||||
797549. | − | 1.38139e6i | 0.0385391 | − | 0.0667516i | |||||
1.79148e6 | + | 3.10293e6i | 0.0863117 | + | 0.149496i | |||||
−3.01747e6 | −0.144950 | |||||||||
0 | 0 | |||||||||
9.12455e6 | 0.435734 | |||||||||
8.80682e6 | + | 1.52539e7i | 0.419324 | + | 0.726291i | |||||
−4.24213e6 | + | 7.34759e6i | −0.201389 | + | 0.348817i | |||||
−9.09539e6 | + | 1.57537e7i | −0.430524 | + | 0.745689i | |||||
−4.40307e6 | − | 7.62634e6i | −0.207805 | − | 0.359929i | |||||
3.18297e7 | 1.49782 | 0.748911 | − | 0.662670i | ||||||
0.748911 | + | 0.662670i | ||||||||
0 | 0 | |||||||||
1.86962e6 | 0.0874656 | |||||||||
−82910.4 | − | 143605.i | −0.00386745 | − | 0.00669862i | |||||
1.08911e7 | − | 1.88640e7i | 0.506549 | − | 0.877369i | −0.493422 | − | 0.869790i | ||
0.999971 | − | 0.00757884i | ||||||||
−4.46396e6 | + | 7.73180e6i | −0.207015 | + | 0.358561i | |||||
1.86674e7 | + | 3.23329e7i | 0.863181 | + | 1.49507i | 0.868842 | + | 0.495089i | ||
−0.00566184 | + | 0.999984i | ||||||||
−1.31865e6 | −0.0607972 | |||||||||
0 | 0 | |||||||||
−353545. | −0.0162060 | |||||||||
7.73066e6 | + | 1.33899e7i | 0.353338 | + | 0.611999i | 0.986832 | − | 0.161749i | ||
−0.633494 | + | 0.773747i | ||||||||
−373248. | + | 646484.i | −0.0170103 | + | 0.0294628i | |||||
5.18872e6 | − | 8.98712e6i | 0.235787 | − | 0.408395i | |||||
−6.18837e6 | − | 1.07186e7i | −0.280402 | − | 0.485671i | |||||
−6.87604e6 | −0.310664 | |||||||||
0 | 0 | |||||||||
−1.19163e7 | −0.535294 | |||||||||
2.11258e6 | + | 3.65910e6i | 0.0946272 | + | 0.163899i | |||||
−7.77623e6 | + | 1.34688e7i | −0.347315 | + | 0.601568i | |||||
−3.54092e6 | + | 6.13305e6i | −0.157698 | + | 0.273140i | |||||
−6.55150e6 | − | 1.13475e7i | −0.290941 | − | 0.503925i | |||||
−5.83716e6 | −0.258478 | |||||||||
0 | 0 | |||||||||
−5.94256e6 | −0.261646 | |||||||||
3.40881e6 | + | 5.90423e6i | 0.149659 | + | 0.259218i | 0.931102 | − | 0.364760i | ||
−0.781442 | + | 0.623978i | ||||||||
970357. | − | 1.68071e6i | 0.0424810 | − | 0.0735793i | |||||
−5.71492e6 | + | 9.89853e6i | −0.249481 | + | 0.432114i | |||||
980196. | + | 1.69775e6i | 0.0426684 | + | 0.0739038i | |||||
1.20903e7 | 0.524805 | 0.262402 | − | 0.964959i | ||||||
0.262402 | + | 0.964959i | ||||||||
0 | 0 | |||||||||
1.63966e7 | 0.707706 | 0.353853 | − | 0.935301i | ||||||
0.353853 | + | 0.935301i | ||||||||
4.71924e6 | + | 8.17397e6i | 0.203115 | + | 0.351805i | |||||
3.07454e6 | − | 5.32526e6i | 0.131954 | − | 0.228551i | |||||
−2.55039e6 | + | 4.41741e6i | −0.109150 | + | 0.189053i | |||||
−1.28503e7 | − | 2.22574e7i | −0.548409 | − | 0.949872i | −0.998384 | − | 0.0568310i | ||
0.449975 | − | 0.893041i | ||||||||
7.36826e6 | 0.313568 | |||||||||
0 | 0 | |||||||||
7.01695e6 | 0.296943 | |||||||||
−1.11688e6 | − | 1.93450e6i | −0.0471318 | − | 0.0816347i | |||||
4.20955e6 | − | 7.29116e6i | 0.177143 | − | 0.306821i | |||||
−4.77861e6 | + | 8.27679e6i | −0.200527 | + | 0.347323i | |||||
6.49700e6 | + | 1.12531e7i | 0.271875 | + | 0.470901i | |||||
−1.66827e7 | −0.696160 | |||||||||
0 | 0 | |||||||||
9.32247e6 | 0.386856 | |||||||||
7.58288e6 | + | 1.31339e7i | 0.313793 | + | 0.543505i | |||||
−1.83616e7 | + | 3.18032e7i | −0.757724 | + | 1.31242i | |||||
1.69717e6 | − | 2.93959e6i | 0.0698425 | − | 0.120971i | |||||
1.44326e7 | + | 2.49980e7i | 0.592287 | + | 1.02587i | |||||
−1.59813e6 | −0.0654029 | |||||||||
0 | 0 | |||||||||
−1.24103e7 | −0.505080 | |||||||||
−3.38927e6 | − | 5.87039e6i | −0.137558 | − | 0.238257i | |||||
7.81300e6 | − | 1.35325e7i | 0.316226 | − | 0.547719i | |||||
1.17241e7 | − | 2.03067e7i | 0.473217 | − | 0.819636i | −0.526313 | − | 0.850291i | ||
0.999530 | + | 0.0306552i | ||||||||
−7.85284e6 | − | 1.36015e7i | −0.316091 | − | 0.547486i | |||||
5.33421e6 | 0.214121 | |||||||||
0 | 0 | |||||||||
−3.29134e7 | −1.31395 | −0.656973 | − | 0.753914i | ||||||
−0.656973 | + | 0.753914i | ||||||||
1.18218e6 | + | 2.04760e6i | 0.0470650 | + | 0.0815190i | |||||
1.46727e7 | − | 2.54139e7i | 0.582550 | − | 1.00901i | |||||
−3.40562e6 | + | 5.89870e6i | −0.134844 | + | 0.233556i | |||||
−3.25775e6 | − | 5.64259e6i | −0.128637 | − | 0.222805i | |||||
1.36130e6 | 0.0536061 | |||||||||
0 | 0 | |||||||||
−2.36151e6 | −0.0924877 | |||||||||
1.26132e7 | + | 2.18467e7i | 0.492647 | + | 0.853290i | 0.999964 | − | 0.00846958i | ||
−0.507317 | + | 0.861760i | ||||||||
1.02351e6 | − | 1.77278e6i | 0.0398680 | − | 0.0690533i | |||||
−188345. | + | 326222.i | −0.00731651 | + | 0.0126726i | |||||
9.11073e6 | + | 1.57802e7i | 0.352960 | + | 0.611345i | |||||
4.45454e7 | 1.72107 | |||||||||
0 | 0 | |||||||||
−3.35037e7 | −1.28748 | |||||||||
−1.16529e7 | − | 2.01835e7i | −0.446589 | − | 0.773515i | |||||
5.27302e6 | − | 9.13314e6i | 0.201540 | − | 0.349077i | |||||
−2.67163e6 | + | 4.62740e6i | −0.101837 | + | 0.176387i | |||||
1.25582e7 | + | 2.17514e7i | 0.477406 | + | 0.826891i | 0.999665 | − | 0.0258958i | ||
−0.522259 | + | 0.852787i | ||||||||
−5.69863e6 | −0.216055 | |||||||||
0 | 0 | |||||||||
1.80997e6 | 0.0682544 | |||||||||
−1.03135e7 | − | 1.78635e7i | −0.387885 | − | 0.671837i | |||||
−7.08522e6 | + | 1.22720e7i | −0.265758 | + | 0.460306i | |||||
−3.10082e6 | + | 5.37077e6i | −0.115997 | + | 0.200913i | |||||
−1.88805e6 | − | 3.27021e6i | −0.0704409 | − | 0.122007i | |||||
−8.25845e6 | −0.307291 | −0.153645 | − | 0.988126i | ||||||
−0.153645 | + | 0.988126i | ||||||||
0 | 0 | |||||||||
−2.04435e7 | −0.756642 | |||||||||
−1.67580e6 | − | 2.90258e6i | −0.0618591 | − | 0.107143i | |||||
6.35439e6 | − | 1.10061e7i | 0.233938 | − | 0.405192i | −0.725026 | − | 0.688722i | ||
0.958963 | + | 0.283530i | ||||||||
−9.20873e6 | + | 1.59500e7i | −0.338121 | + | 0.585643i | |||||
834380. | + | 1.44519e6i | 0.0305552 | + | 0.0529231i | |||||
7.77630e6 | 0.284016 | |||||||||
0 | 0 | |||||||||
4.99003e6 | 0.181291 | |||||||||
−5.31391e6 | − | 9.20397e6i | −0.192548 | − | 0.333503i | 0.753546 | − | 0.657395i | ||
−0.946094 | + | 0.323892i | ||||||||
2.52003e6 | − | 4.36482e6i | 0.0910721 | − | 0.157741i | |||||
1.50301e7 | − | 2.60328e7i | 0.541745 | − | 0.938330i | |||||
−5.37544e6 | − | 9.31053e6i | −0.193243 | − | 0.334707i | |||||
−1.78627e7 | −0.640465 | |||||||||
0 | 0 | |||||||||
749727. | 0.0267406 | 0.0133703 | − | 0.999911i | ||||||
0.0133703 | + | 0.999911i | ||||||||
−5.77413e6 | − | 1.00011e7i | −0.205407 | − | 0.355776i | |||||
2.95980e6 | − | 5.12652e6i | 0.105016 | − | 0.181892i | |||||
7.16080e6 | − | 1.24029e7i | 0.253406 | − | 0.438912i | |||||
−7.99443e6 | − | 1.38468e7i | −0.282168 | − | 0.488729i | |||||
1.69417e7 | 0.596407 | |||||||||
0 | 0 | |||||||||
−829158. | −0.0290375 | |||||||||
−1.04504e7 | − | 1.81005e7i | −0.365025 | − | 0.632242i | |||||
−1.86359e7 | + | 3.22784e7i | −0.649253 | + | 1.12454i | |||||
−104934. | + | 181750.i | −0.00364627 | + | 0.00631552i | |||||
4.22172e6 | + | 7.31223e6i | 0.146318 | + | 0.253430i | |||||
1.86940e7 | 0.646225 | |||||||||
0 | 0 | |||||||||
2.97713e7 | 1.02384 | 0.511920 | − | 0.859033i | ||||||
0.511920 | + | 0.859033i | ||||||||
1.44438e6 | + | 2.50174e6i | 0.0495442 | + | 0.0858130i | |||||
−3.73980e6 | + | 6.47752e6i | −0.127950 | + | 0.221615i | |||||
7.27696e6 | − | 1.26041e7i | 0.248325 | − | 0.430112i | |||||
−7.56052e6 | − | 1.30952e7i | −0.257338 | − | 0.445722i | 0.708190 | − | 0.706022i | ||
−0.965528 | + | 0.260300i | ||||||||
944784. | 0.0320750 | |||||||||
0 | 0 | |||||||||
−2.26192e7 | −0.763975 | |||||||||
8.58505e6 | + | 1.48697e7i | 0.289222 | + | 0.500947i | |||||
4.11984e6 | − | 7.13577e6i | 0.138438 | − | 0.239782i | |||||
−965535. | + | 1.67236e6i | −0.0323617 | + | 0.0560522i | −0.881753 | − | 0.471712i | ||
0.849391 | + | 0.527764i | ||||||||
4.52285e6 | + | 7.83380e6i | 0.151205 | + | 0.261894i | |||||
−2.65535e7 | −0.885452 | |||||||||
0 | 0 | |||||||||
8.96295e6 | 0.297357 | |||||||||
−1.66637e7 | − | 2.88623e7i | −0.551432 | − | 0.955108i | |||||
2.11172e7 | − | 3.65760e7i | 0.697030 | − | 1.20729i | −0.272461 | − | 0.962167i | ||
0.969491 | − | 0.245125i | ||||||||
337969. | − | 585380.i | 0.0111273 | − | 0.0192730i | |||||
−1.18558e7 | − | 2.05349e7i | −0.389352 | − | 0.674377i | |||||
−1.69032e7 | −0.553704 | |||||||||
0 | 0 | |||||||||
−1.19600e7 | −0.389798 | |||||||||
−2.60528e6 | − | 4.51247e6i | −0.0846961 | − | 0.146698i | |||||
1.24056e6 | − | 2.14871e6i | 0.0402282 | − | 0.0696772i | |||||
−2.91740e6 | + | 5.05308e6i | −0.0943651 | + | 0.163445i | −0.909343 | − | 0.416046i | ||
0.814978 | + | 0.579491i | ||||||||
−3.60333e6 | − | 6.24114e6i | −0.116258 | − | 0.201365i | |||||
5.74615e6 | 0.184928 | |||||||||
0 | 0 | |||||||||
1.57124e7 | 0.503136 | |||||||||
6.20589e6 | + | 1.07489e7i | 0.198224 | + | 0.343334i | |||||
6.17303e6 | − | 1.06920e7i | 0.196680 | − | 0.340660i | −0.750770 | − | 0.660564i | ||
0.947450 | + | 0.319904i | ||||||||
1.44754e7 | − | 2.50721e7i | 0.460048 | − | 0.796827i | |||||
−4.66272e6 | − | 8.07607e6i | −0.147818 | − | 0.256027i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 294.6.e.s.67.2 | 4 | ||
7.2 | even | 3 | inner | 294.6.e.s.79.2 | 4 | ||
7.3 | odd | 6 | 294.6.a.r.1.2 | 2 | |||
7.4 | even | 3 | 294.6.a.w.1.1 | 2 | |||
7.5 | odd | 6 | 42.6.e.c.37.1 | yes | 4 | ||
7.6 | odd | 2 | 42.6.e.c.25.1 | ✓ | 4 | ||
21.5 | even | 6 | 126.6.g.h.37.2 | 4 | |||
21.11 | odd | 6 | 882.6.a.bb.1.2 | 2 | |||
21.17 | even | 6 | 882.6.a.bh.1.1 | 2 | |||
21.20 | even | 2 | 126.6.g.h.109.2 | 4 | |||
28.19 | even | 6 | 336.6.q.f.289.1 | 4 | |||
28.27 | even | 2 | 336.6.q.f.193.1 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
42.6.e.c.25.1 | ✓ | 4 | 7.6 | odd | 2 | ||
42.6.e.c.37.1 | yes | 4 | 7.5 | odd | 6 | ||
126.6.g.h.37.2 | 4 | 21.5 | even | 6 | |||
126.6.g.h.109.2 | 4 | 21.20 | even | 2 | |||
294.6.a.r.1.2 | 2 | 7.3 | odd | 6 | |||
294.6.a.w.1.1 | 2 | 7.4 | even | 3 | |||
294.6.e.s.67.2 | 4 | 1.1 | even | 1 | trivial | ||
294.6.e.s.79.2 | 4 | 7.2 | even | 3 | inner | ||
336.6.q.f.193.1 | 4 | 28.27 | even | 2 | |||
336.6.q.f.289.1 | 4 | 28.19 | even | 6 | |||
882.6.a.bb.1.2 | 2 | 21.11 | odd | 6 | |||
882.6.a.bh.1.1 | 2 | 21.17 | even | 6 |