Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,2,Mod(4,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.k (of order \(6\), degree \(2\), 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: | \(0.726638658394\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 12.0.2346760387617129.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 3 x^{11} + x^{10} + 10 x^{9} - 15 x^{8} - 10 x^{7} + 45 x^{6} - 20 x^{5} - 60 x^{4} + 80 x^{3} + \cdots + 64 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 23.2 | ||
Root | \(0.874681 + 1.11128i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 91.23 |
Dual form | 91.2.k.b.4.5 |
$q$-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 \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.34523i | − | 0.951219i | −0.879657 | − | 0.475609i | \(-0.842228\pi\) | ||
0.879657 | − | 0.475609i | \(-0.157772\pi\) | |||||||
\(3\) | −1.02505 | + | 1.77544i | −0.591814 | + | 1.02505i | 0.402174 | + | 0.915563i | \(0.368255\pi\) |
−0.993988 | + | 0.109489i | \(0.965079\pi\) | |||||||
\(4\) | 0.190366 | 0.0951832 | ||||||||
\(5\) | 3.08979 | + | 1.78389i | 1.38179 | + | 0.797779i | 0.992372 | − | 0.123280i | \(-0.0393415\pi\) |
0.389422 | + | 0.921059i | \(0.372675\pi\) | |||||||
\(6\) | 2.38837 | + | 1.37893i | 0.975048 | + | 0.562944i | ||||
\(7\) | −2.44601 | − | 1.00849i | −0.924504 | − | 0.381172i | ||||
\(8\) | − | 2.94654i | − | 1.04176i | ||||||
\(9\) | −0.601462 | − | 1.04176i | −0.200487 | − | 0.347254i | ||||
\(10\) | 2.39973 | − | 4.15646i | 0.758862 | − | 1.31439i | ||||
\(11\) | −1.10736 | − | 0.639336i | −0.333882 | − | 0.192767i | 0.323681 | − | 0.946166i | \(-0.395080\pi\) |
−0.657563 | + | 0.753399i | \(0.728413\pi\) | |||||||
\(12\) | −0.195135 | + | 0.337984i | −0.0563307 | + | 0.0975677i | ||||
\(13\) | 3.57420 | − | 0.474474i | 0.991304 | − | 0.131595i | ||||
\(14\) | −1.35664 | + | 3.29043i | −0.362578 | + | 0.879406i | ||||
\(15\) | −6.33438 | + | 3.65716i | −1.63553 | + | 0.944273i | ||||
\(16\) | −3.58303 | −0.895757 | ||||||||
\(17\) | −7.73920 | −1.87703 | −0.938515 | − | 0.345238i | \(-0.887798\pi\) | ||||
−0.938515 | + | 0.345238i | \(0.887798\pi\) | |||||||
\(18\) | −1.40141 | + | 0.809103i | −0.330315 | + | 0.190707i | ||||
\(19\) | 0.817422 | − | 0.471939i | 0.187530 | − | 0.108270i | −0.403296 | − | 0.915070i | \(-0.632135\pi\) |
0.590826 | + | 0.806799i | \(0.298802\pi\) | |||||||
\(20\) | 0.588191 | + | 0.339592i | 0.131524 | + | 0.0759352i | ||||
\(21\) | 4.29779 | − | 3.30899i | 0.937855 | − | 0.722082i | ||||
\(22\) | −0.860052 | + | 1.48965i | −0.183364 | + | 0.317595i | ||||
\(23\) | −1.64727 | −0.343481 | −0.171740 | − | 0.985142i | \(-0.554939\pi\) | ||||
−0.171740 | + | 0.985142i | \(0.554939\pi\) | |||||||
\(24\) | 5.23141 | + | 3.02035i | 1.06786 | + | 0.616527i | ||||
\(25\) | 3.86451 | + | 6.69354i | 0.772903 | + | 1.33871i | ||||
\(26\) | −0.638275 | − | 4.80810i | −0.125176 | − | 0.942946i | ||||
\(27\) | −3.68419 | −0.709023 | ||||||||
\(28\) | −0.465638 | − | 0.191982i | −0.0879973 | − | 0.0362812i | ||||
\(29\) | −2.02242 | − | 3.50293i | −0.375554 | − | 0.650478i | 0.614856 | − | 0.788639i | \(-0.289214\pi\) |
−0.990410 | + | 0.138161i | \(0.955881\pi\) | |||||||
\(30\) | 4.91970 | + | 8.52117i | 0.898210 | + | 1.55575i | ||||
\(31\) | 4.46193 | − | 2.57610i | 0.801387 | − | 0.462681i | −0.0425691 | − | 0.999094i | \(-0.513554\pi\) |
0.843956 | + | 0.536413i | \(0.180221\pi\) | |||||||
\(32\) | − | 1.07309i | − | 0.189698i | ||||||
\(33\) | 2.27021 | − | 1.31071i | 0.395192 | − | 0.228164i | ||||
\(34\) | 10.4110i | 1.78547i | ||||||||
\(35\) | −5.75861 | − | 7.47941i | −0.973383 | − | 1.26425i | ||||
\(36\) | −0.114498 | − | 0.198317i | −0.0190830 | − | 0.0330528i | ||||
\(37\) | − | 1.05608i | − | 0.173619i | −0.996225 | − | 0.0868094i | \(-0.972333\pi\) | ||
0.996225 | − | 0.0868094i | \(-0.0276671\pi\) | |||||||
\(38\) | −0.634865 | − | 1.09962i | −0.102989 | − | 0.178382i | ||||
\(39\) | −2.82133 | + | 6.83214i | −0.451775 | + | 1.09402i | ||||
\(40\) | 5.25629 | − | 9.10417i | 0.831093 | − | 1.43950i | ||||
\(41\) | −3.63629 | + | 2.09941i | −0.567893 | + | 0.327873i | −0.756307 | − | 0.654217i | \(-0.772998\pi\) |
0.188415 | + | 0.982090i | \(0.439665\pi\) | |||||||
\(42\) | −4.45135 | − | 5.78150i | −0.686858 | − | 0.892105i | ||||
\(43\) | 1.91532 | − | 3.31744i | 0.292084 | − | 0.505904i | −0.682218 | − | 0.731148i | \(-0.738985\pi\) |
0.974302 | + | 0.225244i | \(0.0723180\pi\) | |||||||
\(44\) | −0.210805 | − | 0.121708i | −0.0317800 | − | 0.0183482i | ||||
\(45\) | − | 4.29176i | − | 0.639778i | ||||||
\(46\) | 2.21596i | 0.326725i | ||||||||
\(47\) | 0.774415 | + | 0.447109i | 0.112960 | + | 0.0652175i | 0.555416 | − | 0.831573i | \(-0.312559\pi\) |
−0.442456 | + | 0.896790i | \(0.645893\pi\) | |||||||
\(48\) | 3.67279 | − | 6.36146i | 0.530121 | − | 0.918197i | ||||
\(49\) | 4.96591 | + | 4.93353i | 0.709416 | + | 0.704790i | ||||
\(50\) | 9.00432 | − | 5.19865i | 1.27340 | − | 0.735200i | ||||
\(51\) | 7.93308 | − | 13.7405i | 1.11085 | − | 1.92405i | ||||
\(52\) | 0.680407 | − | 0.0903239i | 0.0943554 | − | 0.0125257i | ||||
\(53\) | 0.0399961 | + | 0.0692754i | 0.00549389 | + | 0.00951570i | 0.868759 | − | 0.495235i | \(-0.164918\pi\) |
−0.863265 | + | 0.504750i | \(0.831585\pi\) | |||||||
\(54\) | 4.95607i | 0.674436i | ||||||||
\(55\) | −2.28101 | − | 3.95082i | −0.307571 | − | 0.532729i | ||||
\(56\) | −2.97154 | + | 7.20726i | −0.397089 | + | 0.963110i | ||||
\(57\) | 1.93505i | 0.256303i | ||||||||
\(58\) | −4.71224 | + | 2.72061i | −0.618747 | + | 0.357234i | ||||
\(59\) | 11.1847i | 1.45613i | 0.685509 | + | 0.728064i | \(0.259580\pi\) | ||||
−0.685509 | + | 0.728064i | \(0.740420\pi\) | |||||||
\(60\) | −1.20585 | + | 0.696200i | −0.155675 | + | 0.0898790i | ||||
\(61\) | 3.81196 | + | 6.60251i | 0.488072 | + | 0.845365i | 0.999906 | − | 0.0137195i | \(-0.00436719\pi\) |
−0.511834 | + | 0.859084i | \(0.671034\pi\) | |||||||
\(62\) | −3.46543 | − | 6.00231i | −0.440111 | − | 0.762294i | ||||
\(63\) | 0.420578 | + | 3.15473i | 0.0529879 | + | 0.397458i | ||||
\(64\) | −8.60961 | −1.07620 | ||||||||
\(65\) | 11.8899 | + | 4.90994i | 1.47476 | + | 0.609003i | ||||
\(66\) | −1.76319 | − | 3.05394i | −0.217034 | − | 0.375914i | ||||
\(67\) | 5.47418 | + | 3.16052i | 0.668777 | + | 0.386119i | 0.795613 | − | 0.605805i | \(-0.207149\pi\) |
−0.126836 | + | 0.991924i | \(0.540482\pi\) | |||||||
\(68\) | −1.47328 | −0.178662 | ||||||||
\(69\) | 1.68854 | − | 2.92464i | 0.203277 | − | 0.352085i | ||||
\(70\) | −10.0615 | + | 7.74664i | −1.20258 | + | 0.925900i | ||||
\(71\) | 9.89346 | + | 5.71199i | 1.17414 | + | 0.677889i | 0.954651 | − | 0.297727i | \(-0.0962285\pi\) |
0.219487 | + | 0.975616i | \(0.429562\pi\) | |||||||
\(72\) | −3.06959 | + | 1.77223i | −0.361755 | + | 0.208859i | ||||
\(73\) | 0.658617 | − | 0.380253i | 0.0770853 | − | 0.0445052i | −0.460962 | − | 0.887420i | \(-0.652496\pi\) |
0.538047 | + | 0.842915i | \(0.319162\pi\) | |||||||
\(74\) | −1.42067 | −0.165149 | ||||||||
\(75\) | −15.8453 | −1.82966 | ||||||||
\(76\) | 0.155610 | − | 0.0898413i | 0.0178497 | − | 0.0103055i | ||||
\(77\) | 2.06386 | + | 2.68058i | 0.235198 | + | 0.305481i | ||||
\(78\) | 9.19077 | + | 3.79533i | 1.04065 | + | 0.429737i | ||||
\(79\) | 1.42765 | − | 2.47277i | 0.160624 | − | 0.278208i | −0.774469 | − | 0.632612i | \(-0.781983\pi\) |
0.935093 | + | 0.354404i | \(0.115316\pi\) | |||||||
\(80\) | −11.0708 | − | 6.39172i | −1.23775 | − | 0.714616i | ||||
\(81\) | 5.58087 | − | 9.66636i | 0.620097 | − | 1.07404i | ||||
\(82\) | 2.82418 | + | 4.89163i | 0.311879 | + | 0.540190i | ||||
\(83\) | 2.32483i | 0.255183i | 0.991827 | + | 0.127591i | \(0.0407246\pi\) | ||||
−0.991827 | + | 0.127591i | \(0.959275\pi\) | |||||||
\(84\) | 0.818155 | − | 0.629921i | 0.0892681 | − | 0.0687301i | ||||
\(85\) | −23.9125 | − | 13.8059i | −2.59367 | − | 1.49746i | ||||
\(86\) | −4.46270 | − | 2.57654i | −0.481226 | − | 0.277836i | ||||
\(87\) | 8.29233 | 0.889032 | ||||||||
\(88\) | −1.88383 | + | 3.26289i | −0.200817 | + | 0.347825i | ||||
\(89\) | − | 7.57626i | − | 0.803082i | −0.915841 | − | 0.401541i | \(-0.868475\pi\) | ||
0.915841 | − | 0.401541i | \(-0.131525\pi\) | |||||||
\(90\) | −5.77339 | −0.608569 | ||||||||
\(91\) | −9.22101 | − | 2.44396i | −0.966625 | − | 0.256196i | ||||
\(92\) | −0.313586 | −0.0326936 | ||||||||
\(93\) | 10.5625i | 1.09528i | ||||||||
\(94\) | 0.601462 | − | 1.04176i | 0.0620361 | − | 0.107450i | ||||
\(95\) | 3.36755 | 0.345503 | ||||||||
\(96\) | 1.90522 | + | 1.09998i | 0.194450 | + | 0.112266i | ||||
\(97\) | −0.414443 | − | 0.239279i | −0.0420803 | − | 0.0242951i | 0.478812 | − | 0.877917i | \(-0.341067\pi\) |
−0.520893 | + | 0.853622i | \(0.674401\pi\) | |||||||
\(98\) | 6.63671 | − | 6.68028i | 0.670409 | − | 0.674810i | ||||
\(99\) | 1.53815i | 0.154589i | ||||||||
\(100\) | 0.735674 | + | 1.27422i | 0.0735674 | + | 0.127422i | ||||
\(101\) | 1.43918 | − | 2.49273i | 0.143204 | − | 0.248036i | −0.785498 | − | 0.618865i | \(-0.787593\pi\) |
0.928701 | + | 0.370829i | \(0.120926\pi\) | |||||||
\(102\) | −18.4841 | − | 10.6718i | −1.83020 | − | 1.05666i | ||||
\(103\) | −5.66755 | + | 9.81649i | −0.558441 | + | 0.967248i | 0.439186 | + | 0.898396i | \(0.355267\pi\) |
−0.997627 | + | 0.0688516i | \(0.978066\pi\) | |||||||
\(104\) | −1.39806 | − | 10.5315i | −0.137091 | − | 1.03270i | ||||
\(105\) | 19.1821 | − | 2.55730i | 1.87198 | − | 0.249567i | ||||
\(106\) | 0.0931910 | − | 0.0538039i | 0.00905151 | − | 0.00522589i | ||||
\(107\) | −6.57206 | −0.635345 | −0.317673 | − | 0.948200i | \(-0.602901\pi\) | ||||
−0.317673 | + | 0.948200i | \(0.602901\pi\) | |||||||
\(108\) | −0.701346 | −0.0674871 | ||||||||
\(109\) | −5.05684 | + | 2.91957i | −0.484358 | + | 0.279644i | −0.722231 | − | 0.691652i | \(-0.756883\pi\) |
0.237873 | + | 0.971296i | \(0.423550\pi\) | |||||||
\(110\) | −5.31475 | + | 3.06847i | −0.506741 | + | 0.292567i | ||||
\(111\) | 1.87501 | + | 1.08254i | 0.177968 | + | 0.102750i | ||||
\(112\) | 8.76412 | + | 3.61343i | 0.828131 | + | 0.341437i | ||||
\(113\) | −3.26617 | + | 5.65717i | −0.307255 | + | 0.532181i | −0.977761 | − | 0.209723i | \(-0.932744\pi\) |
0.670506 | + | 0.741904i | \(0.266077\pi\) | |||||||
\(114\) | 2.60308 | 0.243800 | ||||||||
\(115\) | −5.08973 | − | 2.93855i | −0.474619 | − | 0.274022i | ||||
\(116\) | −0.385001 | − | 0.666841i | −0.0357464 | − | 0.0619146i | ||||
\(117\) | −2.64403 | − | 3.43809i | −0.244441 | − | 0.317851i | ||||
\(118\) | 15.0460 | 1.38510 | ||||||||
\(119\) | 18.9301 | + | 7.80487i | 1.73532 | + | 0.715471i | ||||
\(120\) | 10.7759 | + | 18.6645i | 0.983705 | + | 1.70383i | ||||
\(121\) | −4.68250 | − | 8.11033i | −0.425682 | − | 0.737302i | ||||
\(122\) | 8.88187 | − | 5.12795i | 0.804127 | − | 0.464263i | ||||
\(123\) | − | 8.60802i | − | 0.776159i | ||||||
\(124\) | 0.849402 | − | 0.490402i | 0.0762786 | − | 0.0440394i | ||||
\(125\) | 9.73656i | 0.870865i | ||||||||
\(126\) | 4.24382 | − | 0.565773i | 0.378070 | − | 0.0504030i | ||||
\(127\) | 7.35818 | + | 12.7447i | 0.652932 | + | 1.13091i | 0.982408 | + | 0.186748i | \(0.0597948\pi\) |
−0.329475 | + | 0.944164i | \(0.606872\pi\) | |||||||
\(128\) | 9.43568i | 0.834005i | ||||||||
\(129\) | 3.92661 | + | 6.80109i | 0.345719 | + | 0.598802i | ||||
\(130\) | 6.60498 | − | 15.9946i | 0.579295 | − | 1.40282i | ||||
\(131\) | −5.59335 | + | 9.68796i | −0.488693 | + | 0.846441i | −0.999915 | − | 0.0130074i | \(-0.995860\pi\) |
0.511222 | + | 0.859448i | \(0.329193\pi\) | |||||||
\(132\) | 0.432171 | − | 0.249514i | 0.0376157 | − | 0.0217174i | ||||
\(133\) | −2.47537 | + | 0.330008i | −0.214641 | + | 0.0286153i | ||||
\(134\) | 4.25161 | − | 7.36400i | 0.367283 | − | 0.636153i | ||||
\(135\) | −11.3834 | − | 6.57219i | −0.979724 | − | 0.565644i | ||||
\(136\) | 22.8038i | 1.95541i | ||||||||
\(137\) | − | 17.6308i | − | 1.50630i | −0.657848 | − | 0.753151i | \(-0.728533\pi\) | ||
0.657848 | − | 0.753151i | \(-0.271467\pi\) | |||||||
\(138\) | −3.93430 | − | 2.27147i | −0.334910 | − | 0.193360i | ||||
\(139\) | 2.92855 | − | 5.07240i | 0.248396 | − | 0.430235i | −0.714685 | − | 0.699447i | \(-0.753430\pi\) |
0.963081 | + | 0.269212i | \(0.0867631\pi\) | |||||||
\(140\) | −1.09625 | − | 1.42383i | −0.0926497 | − | 0.120335i | ||||
\(141\) | −1.58763 | + | 0.916619i | −0.133703 | + | 0.0771932i | ||||
\(142\) | 7.68392 | − | 13.3089i | 0.644820 | − | 1.11686i | ||||
\(143\) | −4.26128 | − | 1.75970i | −0.356346 | − | 0.147153i | ||||
\(144\) | 2.15506 | + | 3.73267i | 0.179588 | + | 0.311055i | ||||
\(145\) | − | 14.4311i | − | 1.19844i | ||||||
\(146\) | −0.511526 | − | 0.885989i | −0.0423342 | − | 0.0733250i | ||||
\(147\) | −13.8495 | + | 3.75957i | −1.14229 | + | 0.310084i | ||||
\(148\) | − | 0.201043i | − | 0.0165256i | ||||||
\(149\) | 9.07505 | − | 5.23948i | 0.743457 | − | 0.429235i | −0.0798677 | − | 0.996805i | \(-0.525450\pi\) |
0.823325 | + | 0.567570i | \(0.192116\pi\) | |||||||
\(150\) | 21.3155i | 1.74041i | ||||||||
\(151\) | −4.08249 | + | 2.35703i | −0.332229 | + | 0.191812i | −0.656830 | − | 0.754039i | \(-0.728103\pi\) |
0.324602 | + | 0.945851i | \(0.394770\pi\) | |||||||
\(152\) | −1.39059 | − | 2.40857i | −0.112791 | − | 0.195361i | ||||
\(153\) | 4.65483 | + | 8.06241i | 0.376321 | + | 0.651807i | ||||
\(154\) | 3.60599 | − | 2.77635i | 0.290579 | − | 0.223725i | ||||
\(155\) | 18.3819 | 1.47647 | ||||||||
\(156\) | −0.537087 | + | 1.30061i | −0.0430014 | + | 0.104132i | ||||
\(157\) | −4.50105 | − | 7.79604i | −0.359223 | − | 0.622192i | 0.628608 | − | 0.777722i | \(-0.283625\pi\) |
−0.987831 | + | 0.155530i | \(0.950291\pi\) | |||||||
\(158\) | −3.32643 | − | 1.92052i | −0.264637 | − | 0.152788i | ||||
\(159\) | −0.163992 | −0.0130054 | ||||||||
\(160\) | 1.91428 | − | 3.31563i | 0.151337 | − | 0.262123i | ||||
\(161\) | 4.02925 | + | 1.66125i | 0.317549 | + | 0.130925i | ||||
\(162\) | −13.0034 | − | 7.50754i | −1.02165 | − | 0.589848i | ||||
\(163\) | 10.4203 | − | 6.01619i | 0.816185 | − | 0.471224i | −0.0329144 | − | 0.999458i | \(-0.510479\pi\) |
0.849099 | + | 0.528234i | \(0.177146\pi\) | |||||||
\(164\) | −0.692227 | + | 0.399657i | −0.0540538 | + | 0.0312080i | ||||
\(165\) | 9.35261 | 0.728099 | ||||||||
\(166\) | 3.12742 | 0.242735 | ||||||||
\(167\) | −16.8199 | + | 9.71099i | −1.30157 | + | 0.751459i | −0.980672 | − | 0.195657i | \(-0.937316\pi\) |
−0.320893 | + | 0.947116i | \(0.603983\pi\) | |||||||
\(168\) | −9.75008 | − | 12.6636i | −0.752235 | − | 0.977019i | ||||
\(169\) | 12.5497 | − | 3.39173i | 0.965365 | − | 0.260902i | ||||
\(170\) | −18.5720 | + | 32.1677i | −1.42441 | + | 2.46715i | ||||
\(171\) | −0.983297 | − | 0.567707i | −0.0751946 | − | 0.0434136i | ||||
\(172\) | 0.364613 | − | 0.631528i | 0.0278015 | − | 0.0481536i | ||||
\(173\) | 7.18976 | + | 12.4530i | 0.546627 | + | 0.946786i | 0.998503 | + | 0.0547049i | \(0.0174218\pi\) |
−0.451875 | + | 0.892081i | \(0.649245\pi\) | |||||||
\(174\) | − | 11.1551i | − | 0.845663i | ||||||
\(175\) | −2.70230 | − | 20.2697i | −0.204275 | − | 1.53225i | ||||
\(176\) | 3.96771 | + | 2.29076i | 0.299077 | + | 0.172672i | ||||
\(177\) | −19.8578 | − | 11.4649i | −1.49261 | − | 0.861757i | ||||
\(178\) | −10.1918 | −0.763907 | ||||||||
\(179\) | 2.71303 | − | 4.69911i | 0.202781 | − | 0.351228i | −0.746642 | − | 0.665226i | \(-0.768335\pi\) |
0.949424 | + | 0.313998i | \(0.101669\pi\) | |||||||
\(180\) | − | 0.817008i | − | 0.0608962i | ||||||
\(181\) | −15.4902 | −1.15138 | −0.575688 | − | 0.817669i | \(-0.695266\pi\) | ||||
−0.575688 | + | 0.817669i | \(0.695266\pi\) | |||||||
\(182\) | −3.28768 | + | 12.4043i | −0.243699 | + | 0.919471i | ||||
\(183\) | −15.6298 | −1.15539 | ||||||||
\(184\) | 4.85376i | 0.357824i | ||||||||
\(185\) | 1.88393 | − | 3.26307i | 0.138509 | − | 0.239905i | ||||
\(186\) | 14.2090 | 1.04185 | ||||||||
\(187\) | 8.57010 | + | 4.94795i | 0.626707 | + | 0.361830i | ||||
\(188\) | 0.147423 | + | 0.0851144i | 0.0107519 | + | 0.00620761i | ||||
\(189\) | 9.01156 | + | 3.71545i | 0.655495 | + | 0.270260i | ||||
\(190\) | − | 4.53011i | − | 0.328649i | ||||||
\(191\) | −2.37311 | − | 4.11035i | −0.171712 | − | 0.297414i | 0.767306 | − | 0.641281i | \(-0.221597\pi\) |
−0.939019 | + | 0.343866i | \(0.888263\pi\) | |||||||
\(192\) | 8.82529 | − | 15.2859i | 0.636911 | − | 1.10316i | ||||
\(193\) | 18.2204 | + | 10.5196i | 1.31154 | + | 0.757215i | 0.982350 | − | 0.187050i | \(-0.0598928\pi\) |
0.329185 | + | 0.944266i | \(0.393226\pi\) | |||||||
\(194\) | −0.321884 | + | 0.557519i | −0.0231099 | + | 0.0400276i | ||||
\(195\) | −20.9051 | + | 16.0769i | −1.49704 | + | 1.15129i | ||||
\(196\) | 0.945343 | + | 0.939178i | 0.0675245 | + | 0.0670842i | ||||
\(197\) | 5.03342 | − | 2.90604i | 0.358616 | − | 0.207047i | −0.309857 | − | 0.950783i | \(-0.600281\pi\) |
0.668474 | + | 0.743736i | \(0.266948\pi\) | |||||||
\(198\) | 2.06915 | 0.147048 | ||||||||
\(199\) | −10.6182 | −0.752703 | −0.376352 | − | 0.926477i | \(-0.622821\pi\) | ||||
−0.376352 | + | 0.926477i | \(0.622821\pi\) | |||||||
\(200\) | 19.7228 | − | 11.3869i | 1.39461 | − | 0.805178i | ||||
\(201\) | −11.2226 | + | 6.47939i | −0.791583 | + | 0.457021i | ||||
\(202\) | −3.35329 | − | 1.93602i | −0.235936 | − | 0.136218i | ||||
\(203\) | 1.41420 | + | 10.6078i | 0.0992571 | + | 0.744520i | ||||
\(204\) | 1.51019 | − | 2.61573i | 0.105735 | − | 0.183138i | ||||
\(205\) | −14.9805 | −1.04628 | ||||||||
\(206\) | 13.2054 | + | 7.62414i | 0.920064 | + | 0.531199i | ||||
\(207\) | 0.990773 | + | 1.71607i | 0.0688635 | + | 0.119275i | ||||
\(208\) | −12.8064 | + | 1.70005i | −0.887967 | + | 0.117877i | ||||
\(209\) | −1.20691 | −0.0834837 | ||||||||
\(210\) | −3.44015 | − | 25.8043i | −0.237393 | − | 1.78067i | ||||
\(211\) | 2.33275 | + | 4.04043i | 0.160593 | + | 0.278155i | 0.935081 | − | 0.354433i | \(-0.115326\pi\) |
−0.774489 | + | 0.632588i | \(0.781993\pi\) | |||||||
\(212\) | 0.00761392 | + | 0.0131877i | 0.000522926 | + | 0.000905735i | ||||
\(213\) | −20.2826 | + | 11.7102i | −1.38974 | + | 0.802368i | ||||
\(214\) | 8.84091i | 0.604352i | ||||||||
\(215\) | 11.8359 | − | 6.83344i | 0.807200 | − | 0.466037i | ||||
\(216\) | 10.8556i | 0.738631i | ||||||||
\(217\) | −13.5119 | + | 1.80136i | −0.917246 | + | 0.122284i | ||||
\(218\) | 3.92748 | + | 6.80260i | 0.266003 | + | 0.460730i | ||||
\(219\) | 1.55912i | 0.105355i | ||||||||
\(220\) | −0.434227 | − | 0.752104i | −0.0292756 | − | 0.0507068i | ||||
\(221\) | −27.6614 | + | 3.67205i | −1.86071 | + | 0.247009i | ||||
\(222\) | 1.45626 | − | 2.52232i | 0.0977377 | − | 0.169287i | ||||
\(223\) | 20.9798 | − | 12.1127i | 1.40491 | − | 0.811126i | 0.410020 | − | 0.912076i | \(-0.365522\pi\) |
0.994891 | + | 0.100950i | \(0.0321883\pi\) | |||||||
\(224\) | −1.08220 | + | 2.62480i | −0.0723075 | + | 0.175377i | ||||
\(225\) | 4.64872 | − | 8.05182i | 0.309915 | − | 0.536788i | ||||
\(226\) | 7.61017 | + | 4.39373i | 0.506221 | + | 0.292267i | ||||
\(227\) | − | 15.3753i | − | 1.02049i | −0.860028 | − | 0.510247i | \(-0.829554\pi\) | ||
0.860028 | − | 0.510247i | \(-0.170446\pi\) | |||||||
\(228\) | 0.368368i | 0.0243958i | ||||||||
\(229\) | −14.1608 | − | 8.17573i | −0.935771 | − | 0.540268i | −0.0471389 | − | 0.998888i | \(-0.515010\pi\) |
−0.888632 | + | 0.458621i | \(0.848344\pi\) | |||||||
\(230\) | −3.95302 | + | 6.84683i | −0.260654 | + | 0.451467i | ||||
\(231\) | −6.87477 | + | 0.916523i | −0.452327 | + | 0.0603028i | ||||
\(232\) | −10.3215 | + | 5.95913i | −0.677641 | + | 0.391236i | ||||
\(233\) | −14.5554 | + | 25.2106i | −0.953554 | + | 1.65160i | −0.215911 | + | 0.976413i | \(0.569272\pi\) |
−0.737643 | + | 0.675191i | \(0.764061\pi\) | |||||||
\(234\) | −4.62500 | + | 3.55682i | −0.302346 | + | 0.232517i | ||||
\(235\) | 1.59518 | + | 2.76294i | 0.104058 | + | 0.180234i | ||||
\(236\) | 2.12920i | 0.138599i | ||||||||
\(237\) | 2.92684 | + | 5.06943i | 0.190119 | + | 0.329295i | ||||
\(238\) | 10.4993 | − | 25.4653i | 0.680570 | − | 1.65067i | ||||
\(239\) | − | 8.65409i | − | 0.559787i | −0.960031 | − | 0.279893i | \(-0.909701\pi\) | ||
0.960031 | − | 0.279893i | \(-0.0902991\pi\) | |||||||
\(240\) | 22.6963 | − | 13.1037i | 1.46504 | − | 0.845840i | ||||
\(241\) | 18.1982i | 1.17225i | 0.810222 | + | 0.586124i | \(0.199347\pi\) | ||||
−0.810222 | + | 0.586124i | \(0.800653\pi\) | |||||||
\(242\) | −10.9102 | + | 6.29902i | −0.701336 | + | 0.404916i | ||||
\(243\) | 5.91508 | + | 10.2452i | 0.379453 | + | 0.657231i | ||||
\(244\) | 0.725669 | + | 1.25690i | 0.0464562 | + | 0.0804645i | ||||
\(245\) | 6.54274 | + | 24.1022i | 0.418000 | + | 1.53983i | ||||
\(246\) | −11.5797 | −0.738297 | ||||||||
\(247\) | 2.69770 | − | 2.07465i | 0.171651 | − | 0.132007i | ||||
\(248\) | −7.59057 | − | 13.1473i | −0.482002 | − | 0.834851i | ||||
\(249\) | −4.12759 | − | 2.38307i | −0.261576 | − | 0.151021i | ||||
\(250\) | 13.0979 | 0.828383 | ||||||||
\(251\) | 7.93598 | − | 13.7455i | 0.500915 | − | 0.867610i | −0.499085 | − | 0.866553i | \(-0.666330\pi\) |
0.999999 | − | 0.00105678i | \(-0.000336383\pi\) | |||||||
\(252\) | 0.0800639 | + | 0.600554i | 0.00504355 | + | 0.0378313i | ||||
\(253\) | 1.82413 | + | 1.05316i | 0.114682 | + | 0.0662117i | ||||
\(254\) | 17.1446 | − | 9.89841i | 1.07574 | − | 0.621082i | ||||
\(255\) | 49.0230 | − | 28.3034i | 3.06994 | − | 1.77243i | ||||
\(256\) | −4.52609 | −0.282880 | ||||||||
\(257\) | 24.3267 | 1.51746 | 0.758730 | − | 0.651406i | \(-0.225820\pi\) | ||||
0.758730 | + | 0.651406i | \(0.225820\pi\) | |||||||
\(258\) | 9.14900 | − | 5.28218i | 0.569592 | − | 0.328854i | ||||
\(259\) | −1.06504 | + | 2.58319i | −0.0661786 | + | 0.160511i | ||||
\(260\) | 2.26344 | + | 0.934688i | 0.140372 | + | 0.0579669i | ||||
\(261\) | −2.43282 | + | 4.21376i | −0.150588 | + | 0.260825i | ||||
\(262\) | 13.0325 | + | 7.52432i | 0.805150 | + | 0.464854i | ||||
\(263\) | −7.71727 | + | 13.3667i | −0.475867 | + | 0.824226i | −0.999618 | − | 0.0276456i | \(-0.991199\pi\) |
0.523751 | + | 0.851872i | \(0.324532\pi\) | |||||||
\(264\) | −3.86204 | − | 6.68925i | −0.237692 | − | 0.411695i | ||||
\(265\) | 0.285395i | 0.0175317i | ||||||||
\(266\) | 0.443935 | + | 3.32993i | 0.0272194 | + | 0.204171i | ||||
\(267\) | 13.4512 | + | 7.76606i | 0.823201 | + | 0.475275i | ||||
\(268\) | 1.04210 | + | 0.601656i | 0.0636563 | + | 0.0367520i | ||||
\(269\) | −13.0407 | −0.795106 | −0.397553 | − | 0.917579i | \(-0.630141\pi\) | ||||
−0.397553 | + | 0.917579i | \(0.630141\pi\) | |||||||
\(270\) | −8.84108 | + | 15.3132i | −0.538051 | + | 0.931931i | ||||
\(271\) | − | 26.9706i | − | 1.63835i | −0.573544 | − | 0.819174i | \(-0.694432\pi\) | ||
0.573544 | − | 0.819174i | \(-0.305568\pi\) | |||||||
\(272\) | 27.7298 | 1.68136 | ||||||||
\(273\) | 13.7911 | − | 13.8662i | 0.834677 | − | 0.839220i | ||||
\(274\) | −23.7174 | −1.43282 | ||||||||
\(275\) | − | 9.88289i | − | 0.595961i | ||||||
\(276\) | 0.321442 | − | 0.556753i | 0.0193485 | − | 0.0335126i | ||||
\(277\) | −12.7015 | −0.763156 | −0.381578 | − | 0.924337i | \(-0.624619\pi\) | ||||
−0.381578 | + | 0.924337i | \(0.624619\pi\) | |||||||
\(278\) | −6.82352 | − | 3.93956i | −0.409248 | − | 0.236279i | ||||
\(279\) | −5.36737 | − | 3.09885i | −0.321336 | − | 0.185523i | ||||
\(280\) | −22.0384 | + | 16.9680i | −1.31704 | + | 1.01403i | ||||
\(281\) | − | 26.7216i | − | 1.59408i | −0.603930 | − | 0.797038i | \(-0.706399\pi\) | ||
0.603930 | − | 0.797038i | \(-0.293601\pi\) | |||||||
\(282\) | 1.23306 | + | 2.13572i | 0.0734276 | + | 0.127180i | ||||
\(283\) | 7.37113 | − | 12.7672i | 0.438168 | − | 0.758929i | −0.559380 | − | 0.828911i | \(-0.688961\pi\) |
0.997548 | + | 0.0699819i | \(0.0222941\pi\) | |||||||
\(284\) | 1.88338 | + | 1.08737i | 0.111758 | + | 0.0645236i | ||||
\(285\) | −3.45191 | + | 5.97888i | −0.204473 | + | 0.354158i | ||||
\(286\) | −2.36719 | + | 5.73238i | −0.139975 | + | 0.338963i | ||||
\(287\) | 11.0116 | − | 1.46803i | 0.649995 | − | 0.0866553i | ||||
\(288\) | −1.11791 | + | 0.645425i | −0.0658734 | + | 0.0380320i | ||||
\(289\) | 42.8952 | 2.52324 | ||||||||
\(290\) | −19.4131 | −1.13997 | ||||||||
\(291\) | 0.849651 | − | 0.490546i | 0.0498074 | − | 0.0287563i | ||||
\(292\) | 0.125379 | − | 0.0723874i | 0.00733723 | − | 0.00423615i | ||||
\(293\) | −10.0312 | − | 5.79153i | −0.586030 | − | 0.338345i | 0.177496 | − | 0.984121i | \(-0.443200\pi\) |
−0.763526 | + | 0.645777i | \(0.776534\pi\) | |||||||
\(294\) | 5.05747 | + | 18.6307i | 0.294957 | + | 1.08657i | ||||
\(295\) | −19.9523 | + | 34.5584i | −1.16167 | + | 2.01207i | ||||
\(296\) | −3.11179 | −0.180869 | ||||||||
\(297\) | 4.07974 | + | 2.35544i | 0.236730 | + | 0.136676i | ||||
\(298\) | −7.04829 | − | 12.2080i | −0.408297 | − | 0.707190i | ||||
\(299\) | −5.88768 | + | 0.781589i | −0.340493 | + | 0.0452005i | ||||
\(300\) | −3.01641 | −0.174153 | ||||||||
\(301\) | −8.03048 | + | 6.18290i | −0.462869 | + | 0.356376i | ||||
\(302\) | 3.17074 | + | 5.49188i | 0.182455 | + | 0.316022i | ||||
\(303\) | 2.95047 | + | 5.11036i | 0.169500 | + | 0.293582i | ||||
\(304\) | −2.92885 | + | 1.69097i | −0.167981 | + | 0.0969838i | ||||
\(305\) | 27.2004i | 1.55749i | ||||||||
\(306\) | 10.8458 | − | 6.26180i | 0.620011 | − | 0.357963i | ||||
\(307\) | − | 29.3335i | − | 1.67415i | −0.547086 | − | 0.837076i | \(-0.684263\pi\) | ||
0.547086 | − | 0.837076i | \(-0.315737\pi\) | |||||||
\(308\) | 0.392889 | + | 0.510293i | 0.0223869 | + | 0.0290766i | ||||
\(309\) | −11.6191 | − | 20.1248i | −0.660986 | − | 1.14486i | ||||
\(310\) | − | 24.7278i | − | 1.40444i | ||||||
\(311\) | −0.0753271 | − | 0.130470i | −0.00427141 | − | 0.00739830i | 0.863882 | − | 0.503695i | \(-0.168026\pi\) |
−0.868153 | + | 0.496296i | \(0.834693\pi\) | |||||||
\(312\) | 20.1312 | + | 8.31317i | 1.13970 | + | 0.470641i | ||||
\(313\) | 5.26057 | − | 9.11157i | 0.297345 | − | 0.515016i | −0.678183 | − | 0.734893i | \(-0.737232\pi\) |
0.975528 | + | 0.219877i | \(0.0705656\pi\) | |||||||
\(314\) | −10.4874 | + | 6.05493i | −0.591841 | + | 0.341699i | ||||
\(315\) | −4.32818 | + | 10.4977i | −0.243866 | + | 0.591478i | ||||
\(316\) | 0.271777 | − | 0.470732i | 0.0152887 | − | 0.0264808i | ||||
\(317\) | 1.30489 | + | 0.753380i | 0.0732901 | + | 0.0423140i | 0.536197 | − | 0.844093i | \(-0.319860\pi\) |
−0.462907 | + | 0.886407i | \(0.653194\pi\) | |||||||
\(318\) | 0.220607i | 0.0123710i | ||||||||
\(319\) | 5.17202i | 0.289578i | ||||||||
\(320\) | −26.6018 | − | 15.3586i | −1.48709 | − | 0.858571i | ||||
\(321\) | 6.73671 | − | 11.6683i | 0.376006 | − | 0.651262i | ||||
\(322\) | 2.23476 | − | 5.42025i | 0.124538 | − | 0.302059i | ||||
\(323\) | −6.32619 | + | 3.65243i | −0.351999 | + | 0.203227i | ||||
\(324\) | 1.06241 | − | 1.84015i | 0.0590228 | − | 0.102231i | ||||
\(325\) | 16.9884 | + | 22.0904i | 0.942349 | + | 1.22535i | ||||
\(326\) | −8.09314 | − | 14.0177i | −0.448237 | − | 0.776370i | ||||
\(327\) | − | 11.9708i | − | 0.661989i | ||||||
\(328\) | 6.18600 | + | 10.7145i | 0.341565 | + | 0.591607i | ||||
\(329\) | −1.44332 | − | 1.87462i | −0.0795729 | − | 0.103351i | ||||
\(330\) | − | 12.5814i | − | 0.692582i | ||||||
\(331\) | −21.8679 | + | 12.6254i | −1.20197 | + | 0.693957i | −0.960993 | − | 0.276574i | \(-0.910801\pi\) |
−0.240976 | + | 0.970531i | \(0.577467\pi\) | |||||||
\(332\) | 0.442569i | 0.0242891i | ||||||||
\(333\) | −1.10019 | + | 0.635193i | −0.0602899 | + | 0.0348084i | ||||
\(334\) | 13.0635 | + | 22.6266i | 0.714802 | + | 1.23807i | ||||
\(335\) | 11.2760 | + | 19.5306i | 0.616075 | + | 1.06707i | ||||
\(336\) | −15.3991 | + | 11.8562i | −0.840090 | + | 0.646810i | ||||
\(337\) | 32.1811 | 1.75302 | 0.876509 | − | 0.481386i | \(-0.159866\pi\) | ||||
0.876509 | + | 0.481386i | \(0.159866\pi\) | |||||||
\(338\) | −4.56264 | − | 16.8823i | −0.248175 | − | 0.918273i | ||||
\(339\) | −6.69598 | − | 11.5978i | −0.363676 | − | 0.629905i | ||||
\(340\) | −4.55213 | − | 2.62817i | −0.246874 | − | 0.142533i | ||||
\(341\) | −6.58797 | −0.356759 | ||||||||
\(342\) | −0.763694 | + | 1.32276i | −0.0412959 | + | 0.0715265i | ||||
\(343\) | −7.17127 | − | 17.0755i | −0.387212 | − | 0.921991i | ||||
\(344\) | −9.77495 | − | 5.64357i | −0.527030 | − | 0.304281i | ||||
\(345\) | 10.4345 | − | 6.02434i | 0.561773 | − | 0.324340i | ||||
\(346\) | 16.7521 | − | 9.67185i | 0.900600 | − | 0.519962i | ||||
\(347\) | 24.7638 | 1.32939 | 0.664695 | − | 0.747115i | \(-0.268562\pi\) | ||||
0.664695 | + | 0.747115i | \(0.268562\pi\) | |||||||
\(348\) | 1.57858 | 0.0846209 | ||||||||
\(349\) | −10.0075 | + | 5.77782i | −0.535688 | + | 0.309280i | −0.743330 | − | 0.668925i | \(-0.766755\pi\) |
0.207642 | + | 0.978205i | \(0.433421\pi\) | |||||||
\(350\) | −27.2674 | + | 3.63520i | −1.45750 | + | 0.194310i | ||||
\(351\) | −13.1680 | + | 1.74805i | −0.702857 | + | 0.0933042i | ||||
\(352\) | −0.686067 | + | 1.18830i | −0.0365675 | + | 0.0633368i | ||||
\(353\) | −17.3971 | − | 10.0442i | −0.925953 | − | 0.534599i | −0.0404237 | − | 0.999183i | \(-0.512871\pi\) |
−0.885529 | + | 0.464583i | \(0.846204\pi\) | |||||||
\(354\) | −15.4229 | + | 26.7133i | −0.819719 | + | 1.41980i | ||||
\(355\) | 20.3791 | + | 35.2977i | 1.08161 | + | 1.87340i | ||||
\(356\) | − | 1.44227i | − | 0.0764399i | ||||||
\(357\) | −33.2615 | + | 25.6090i | −1.76038 | + | 1.35537i | ||||
\(358\) | −6.32136 | − | 3.64964i | −0.334094 | − | 0.192890i | ||||
\(359\) | 13.0346 | + | 7.52551i | 0.687938 | + | 0.397181i | 0.802839 | − | 0.596196i | \(-0.203322\pi\) |
−0.114901 | + | 0.993377i | \(0.536655\pi\) | |||||||
\(360\) | −12.6458 | −0.666495 | ||||||||
\(361\) | −9.05455 | + | 15.6829i | −0.476555 | + | 0.825418i | ||||
\(362\) | 20.8378i | 1.09521i | ||||||||
\(363\) | 19.1992 | 1.00770 | ||||||||
\(364\) | −1.75537 | − | 0.465248i | −0.0920064 | − | 0.0243856i | ||||
\(365\) | 2.71331 | 0.142021 | ||||||||
\(366\) | 21.0257i | 1.09903i | ||||||||
\(367\) | −4.50178 | + | 7.79731i | −0.234991 | + | 0.407016i | −0.959270 | − | 0.282491i | \(-0.908839\pi\) |
0.724279 | + | 0.689507i | \(0.242173\pi\) | |||||||
\(368\) | 5.90223 | 0.307675 | ||||||||
\(369\) | 4.37418 | + | 2.52543i | 0.227711 | + | 0.131469i | ||||
\(370\) | −4.38956 | − | 2.53431i | −0.228202 | − | 0.131753i | ||||
\(371\) | −0.0279677 | − | 0.209784i | −0.00145201 | − | 0.0108914i | ||||
\(372\) | 2.01075i | 0.104253i | ||||||||
\(373\) | 8.06953 | + | 13.9768i | 0.417824 | + | 0.723693i | 0.995720 | − | 0.0924174i | \(-0.0294594\pi\) |
−0.577896 | + | 0.816110i | \(0.696126\pi\) | |||||||
\(374\) | 6.65611 | − | 11.5287i | 0.344179 | − | 0.596136i | ||||
\(375\) | −17.2867 | − | 9.98048i | −0.892681 | − | 0.515390i | ||||
\(376\) | 1.31742 | − | 2.28184i | 0.0679409 | − | 0.117677i | ||||
\(377\) | −8.89057 | − | 11.5606i | −0.457888 | − | 0.595400i | ||||
\(378\) | 4.99813 | − | 12.1226i | 0.257076 | − | 0.623519i | ||||
\(379\) | −13.5668 | + | 7.83277i | −0.696878 | + | 0.402342i | −0.806183 | − | 0.591666i | \(-0.798471\pi\) |
0.109306 | + | 0.994008i | \(0.465137\pi\) | |||||||
\(380\) | 0.641068 | 0.0328861 | ||||||||
\(381\) | −30.1700 | −1.54566 | ||||||||
\(382\) | −5.52935 | + | 3.19237i | −0.282906 | + | 0.163336i | ||||
\(383\) | 21.3327 | − | 12.3164i | 1.09005 | − | 0.629339i | 0.156459 | − | 0.987685i | \(-0.449992\pi\) |
0.933589 | + | 0.358345i | \(0.116659\pi\) | |||||||
\(384\) | −16.7525 | − | 9.67207i | −0.854898 | − | 0.493576i | ||||
\(385\) | 1.59502 | + | 11.9641i | 0.0812896 | + | 0.609747i | ||||
\(386\) | 14.1512 | − | 24.5106i | 0.720277 | − | 1.24756i | ||||
\(387\) | −4.60798 | −0.234237 | ||||||||
\(388\) | −0.0788960 | − | 0.0455506i | −0.00400534 | − | 0.00231248i | ||||
\(389\) | −9.42834 | − | 16.3304i | −0.478036 | − | 0.827982i | 0.521647 | − | 0.853161i | \(-0.325318\pi\) |
−0.999683 | + | 0.0251791i | \(0.991984\pi\) | |||||||
\(390\) | 21.6270 | + | 28.1221i | 1.09513 | + | 1.42402i | ||||
\(391\) | 12.7486 | 0.644724 | ||||||||
\(392\) | 14.5368 | − | 14.6323i | 0.734221 | − | 0.739040i | ||||
\(393\) | −11.4669 | − | 19.8613i | −0.578431 | − | 1.00187i | ||||
\(394\) | −3.90929 | − | 6.77108i | −0.196947 | − | 0.341122i | ||||
\(395\) | 8.82229 | − | 5.09355i | 0.443897 | − | 0.256284i | ||||
\(396\) | 0.292811i | 0.0147143i | ||||||||
\(397\) | −12.5600 | + | 7.25149i | −0.630366 | + | 0.363942i | −0.780894 | − | 0.624664i | \(-0.785236\pi\) |
0.150528 | + | 0.988606i | \(0.451903\pi\) | |||||||
\(398\) | 14.2839i | 0.715985i | ||||||||
\(399\) | 1.95147 | − | 4.73314i | 0.0976956 | − | 0.236954i | ||||
\(400\) | −13.8467 | − | 23.9831i | −0.692333 | − | 1.19916i | ||||
\(401\) | − | 20.9889i | − | 1.04814i | −0.851676 | − | 0.524069i | \(-0.824413\pi\) | ||
0.851676 | − | 0.524069i | \(-0.175587\pi\) | |||||||
\(402\) | 8.71624 | + | 15.0970i | 0.434727 | + | 0.752968i | ||||
\(403\) | 14.7255 | − | 11.3245i | 0.733531 | − | 0.564116i | ||||
\(404\) | 0.273971 | − | 0.474532i | 0.0136306 | − | 0.0236089i | ||||
\(405\) | 34.4874 | − | 19.9113i | 1.71369 | − | 0.989401i | ||||
\(406\) | 14.2699 | − | 1.90241i | 0.708201 | − | 0.0944152i | ||||
\(407\) | −0.675191 | + | 1.16947i | −0.0334680 | + | 0.0579683i | ||||
\(408\) | −40.4869 | − | 23.3751i | −2.00440 | − | 1.15724i | ||||
\(409\) | − | 21.4276i | − | 1.05953i | −0.848146 | − | 0.529763i | \(-0.822281\pi\) | ||
0.848146 | − | 0.529763i | \(-0.177719\pi\) | |||||||
\(410\) | 20.1521i | 0.995242i | ||||||||
\(411\) | 31.3025 | + | 18.0725i | 1.54404 | + | 0.891451i | ||||
\(412\) | −1.07891 | + | 1.86873i | −0.0531542 | + | 0.0920657i | ||||
\(413\) | 11.2796 | − | 27.3580i | 0.555035 | − | 1.34620i | ||||
\(414\) | 2.30850 | − | 1.33281i | 0.113457 | − | 0.0655043i | ||||
\(415\) | −4.14723 | + | 7.18321i | −0.203580 | + | 0.352610i | ||||
\(416\) | −0.509155 | − | 3.83545i | −0.0249634 | − | 0.188048i | ||||
\(417\) | 6.00383 | + | 10.3989i | 0.294009 | + | 0.509238i | ||||
\(418\) | 1.62357i | 0.0794113i | ||||||||
\(419\) | −3.98203 | − | 6.89708i | −0.194535 | − | 0.336944i | 0.752213 | − | 0.658920i | \(-0.228986\pi\) |
−0.946748 | + | 0.321976i | \(0.895653\pi\) | |||||||
\(420\) | 3.65163 | − | 0.486824i | 0.178181 | − | 0.0237546i | ||||
\(421\) | 2.81786i | 0.137334i | 0.997640 | + | 0.0686670i | \(0.0218746\pi\) | ||||
−0.997640 | + | 0.0686670i | \(0.978125\pi\) | |||||||
\(422\) | 5.43530 | − | 3.13807i | 0.264586 | − | 0.152759i | ||||
\(423\) | − | 1.07568i | − | 0.0523011i | ||||||
\(424\) | 0.204122 | − | 0.117850i | 0.00991306 | − | 0.00572331i | ||||
\(425\) | −29.9082 | − | 51.8026i | −1.45076 | − | 2.51279i | ||||
\(426\) | 15.7528 | + | 27.2847i | 0.763227 | + | 1.32195i | ||||
\(427\) | −2.66555 | − | 19.9941i | −0.128995 | − | 0.967582i | ||||
\(428\) | −1.25110 | −0.0604742 | ||||||||
\(429\) | 7.49227 | − | 5.76187i | 0.361730 | − | 0.278186i | ||||
\(430\) | −9.19253 | − | 15.9219i | −0.443303 | − | 0.767823i | ||||
\(431\) | 4.96775 | + | 2.86813i | 0.239288 | + | 0.138153i | 0.614849 | − | 0.788645i | \(-0.289217\pi\) |
−0.375561 | + | 0.926797i | \(0.622550\pi\) | |||||||
\(432\) | 13.2006 | 0.635112 | ||||||||
\(433\) | −12.2628 | + | 21.2398i | −0.589314 | + | 1.02072i | 0.405009 | + | 0.914313i | \(0.367268\pi\) |
−0.994322 | + | 0.106409i | \(0.966065\pi\) | |||||||
\(434\) | 2.42324 | + | 18.1765i | 0.116319 | + | 0.872502i | ||||
\(435\) | 25.6215 | + | 14.7926i | 1.22846 | + | 0.709251i | ||||
\(436\) | −0.962653 | + | 0.555788i | −0.0461027 | + | 0.0266174i | ||||
\(437\) | −1.34652 | + | 0.777413i | −0.0644128 | + | 0.0371887i | ||||
\(438\) | 2.09736 | 0.100216 | ||||||||
\(439\) | −36.6423 | −1.74884 | −0.874420 | − | 0.485169i | \(-0.838758\pi\) | ||||
−0.874420 | + | 0.485169i | \(0.838758\pi\) | |||||||
\(440\) | −11.6412 | + | 6.72108i | −0.554975 | + | 0.320415i | ||||
\(441\) | 2.15276 | − | 8.14063i | 0.102512 | − | 0.387649i | ||||
\(442\) | 4.93973 | + | 37.2108i | 0.234959 | + | 1.76994i | ||||
\(443\) | −13.5467 | + | 23.4635i | −0.643622 | + | 1.11479i | 0.340996 | + | 0.940065i | \(0.389236\pi\) |
−0.984618 | + | 0.174721i | \(0.944098\pi\) | |||||||
\(444\) | 0.356939 | + | 0.206079i | 0.0169396 | + | 0.00978008i | ||||
\(445\) | 13.5152 | − | 23.4090i | 0.640682 | − | 1.10969i | ||||
\(446\) | −16.2943 | − | 28.2226i | −0.771558 | − | 1.33638i | ||||
\(447\) | 21.4830i | 1.01611i | ||||||||
\(448\) | 21.0592 | + | 8.68267i | 0.994953 | + | 0.410218i | ||||
\(449\) | 23.7571 | + | 13.7162i | 1.12117 | + | 0.647307i | 0.941699 | − | 0.336456i | \(-0.109228\pi\) |
0.179470 | + | 0.983764i | \(0.442562\pi\) | |||||||
\(450\) | −10.8315 | − | 6.25358i | −0.510602 | − | 0.294796i | ||||
\(451\) | 5.36892 | 0.252812 | ||||||||
\(452\) | −0.621768 | + | 1.07693i | −0.0292455 | + | 0.0506547i | ||||
\(453\) | − | 9.66431i | − | 0.454069i | ||||||
\(454\) | −20.6832 | −0.970712 | ||||||||
\(455\) | −24.1312 | − | 24.0006i | −1.13129 | − | 1.12516i | ||||
\(456\) | 5.70169 | 0.267006 | ||||||||
\(457\) | 39.6639i | 1.85540i | 0.373327 | + | 0.927700i | \(0.378217\pi\) | ||||
−0.373327 | + | 0.927700i | \(0.621783\pi\) | |||||||
\(458\) | −10.9982 | + | 19.0495i | −0.513913 | + | 0.890123i | ||||
\(459\) | 28.5127 | 1.33086 | ||||||||
\(460\) | −0.968913 | − | 0.559402i | −0.0451758 | − | 0.0260823i | ||||
\(461\) | −4.23988 | − | 2.44790i | −0.197471 | − | 0.114010i | 0.398004 | − | 0.917384i | \(-0.369703\pi\) |
−0.595475 | + | 0.803374i | \(0.703036\pi\) | |||||||
\(462\) | 1.23293 | + | 9.24813i | 0.0573611 | + | 0.430262i | ||||
\(463\) | − | 4.71193i | − | 0.218982i | −0.993988 | − | 0.109491i | \(-0.965078\pi\) | ||
0.993988 | − | 0.109491i | \(-0.0349221\pi\) | |||||||
\(464\) | 7.24638 | + | 12.5511i | 0.336405 | + | 0.582670i | ||||
\(465\) | −18.8424 | + | 32.6360i | −0.873794 | + | 1.51346i | ||||
\(466\) | 33.9140 | + | 19.5803i | 1.57104 | + | 0.907038i | ||||
\(467\) | 16.0081 | − | 27.7268i | 0.740765 | − | 1.28304i | −0.211383 | − | 0.977403i | \(-0.567797\pi\) |
0.952147 | − | 0.305639i | \(-0.0988701\pi\) | |||||||
\(468\) | −0.503335 | − | 0.654496i | −0.0232667 | − | 0.0302541i | ||||
\(469\) | −10.2025 | − | 13.2513i | −0.471110 | − | 0.611887i | ||||
\(470\) | 3.71678 | − | 2.14588i | 0.171442 | − | 0.0989822i | ||||
\(471\) | 18.4552 | 0.850372 | ||||||||
\(472\) | 32.9563 | 1.51693 | ||||||||
\(473\) | −4.24191 | + | 2.44907i | −0.195043 | + | 0.112608i | ||||
\(474\) | 6.81953 | − | 3.93726i | 0.313232 | − | 0.180844i | ||||
\(475\) | 6.31788 | + | 3.64763i | 0.289884 | + | 0.167365i | ||||
\(476\) | 3.60366 | + | 1.48578i | 0.165174 | + | 0.0681008i | ||||
\(477\) | 0.0481123 | − | 0.0833330i | 0.00220291 | − | 0.00381556i | ||||
\(478\) | −11.6417 | −0.532480 | ||||||||
\(479\) | 15.6097 | + | 9.01224i | 0.713224 | + | 0.411780i | 0.812254 | − | 0.583305i | \(-0.198241\pi\) |
−0.0990298 | + | 0.995084i | \(0.531574\pi\) | |||||||
\(480\) | 3.92447 | + | 6.79738i | 0.179127 | + | 0.310257i | ||||
\(481\) | −0.501083 | − | 3.77464i | −0.0228474 | − | 0.172109i | ||||
\(482\) | 24.4807 | 1.11506 | ||||||||
\(483\) | −7.07965 | + | 5.45082i | −0.322135 | + | 0.248021i | ||||
\(484\) | −0.891390 | − | 1.54393i | −0.0405177 | − | 0.0701788i | ||||
\(485\) | −0.853693 | − | 1.47864i | −0.0387642 | − | 0.0671416i | ||||
\(486\) | 13.7821 | − | 7.95712i | 0.625170 | − | 0.360942i | ||||
\(487\) | − | 17.6004i | − | 0.797550i | −0.917049 | − | 0.398775i | \(-0.869435\pi\) | ||
0.917049 | − | 0.398775i | \(-0.130565\pi\) | |||||||
\(488\) | 19.4545 | − | 11.2321i | 0.880666 | − | 0.508453i | ||||
\(489\) | 24.6676i | 1.11551i | ||||||||
\(490\) | 32.4229 | − | 8.80146i | 1.46472 | − | 0.397609i | ||||
\(491\) | 1.93180 | + | 3.34598i | 0.0871810 | + | 0.151002i | 0.906318 | − | 0.422595i | \(-0.138881\pi\) |
−0.819138 | + | 0.573597i | \(0.805547\pi\) | |||||||
\(492\) | − | 1.63868i | − | 0.0738773i | ||||||
\(493\) | 15.6519 | + | 27.1099i | 0.704926 | + | 1.22097i | ||||
\(494\) | −2.79087 | − | 3.62902i | −0.125567 | − | 0.163277i | ||||
\(495\) | −2.74388 | + | 4.75254i | −0.123328 | + | 0.213611i | ||||
\(496\) | −15.9872 | + | 9.23023i | −0.717848 | + | 0.414450i | ||||
\(497\) | −18.4390 | − | 23.9490i | −0.827103 | − | 1.07426i | ||||
\(498\) | −3.20576 | + | 5.55255i | −0.143654 | + | 0.248816i | ||||
\(499\) | −10.9528 | − | 6.32363i | −0.490317 | − | 0.283084i | 0.234389 | − | 0.972143i | \(-0.424691\pi\) |
−0.724706 | + | 0.689058i | \(0.758024\pi\) | |||||||
\(500\) | 1.85351i | 0.0828917i | ||||||||
\(501\) | − | 39.8171i | − | 1.77890i | ||||||
\(502\) | −18.4908 | − | 10.6757i | −0.825287 | − | 0.476480i | ||||
\(503\) | −11.0180 | + | 19.0837i | −0.491268 | + | 0.850902i | −0.999949 | − | 0.0100533i | \(-0.996800\pi\) |
0.508681 | + | 0.860955i | \(0.330133\pi\) | |||||||
\(504\) | 9.29552 | − | 1.23925i | 0.414056 | − | 0.0552006i | ||||
\(505\) | 8.89351 | − | 5.13467i | 0.395756 | − | 0.228490i | ||||
\(506\) | 1.41674 | − | 2.45387i | 0.0629818 | − | 0.109088i | ||||
\(507\) | −6.84233 | + | 25.7580i | −0.303879 | + | 1.14395i | ||||
\(508\) | 1.40075 | + | 2.42617i | 0.0621482 | + | 0.107644i | ||||
\(509\) | 15.6702i | 0.694568i | 0.937760 | + | 0.347284i | \(0.112896\pi\) | ||||
−0.937760 | + | 0.347284i | \(0.887104\pi\) | |||||||
\(510\) | −38.0745 | − | 65.9470i | −1.68597 | − | 2.92018i | ||||
\(511\) | −1.99446 | + | 0.265895i | −0.0882299 | + | 0.0117625i | ||||
\(512\) | 24.9600i | 1.10309i | ||||||||
\(513\) | −3.01154 | + | 1.73871i | −0.132963 | + | 0.0767661i | ||||
\(514\) | − | 32.7249i | − | 1.44344i | ||||||
\(515\) | −35.0230 | + | 20.2206i | −1.54330 | + | 0.891025i | ||||
\(516\) | 0.747495 | + | 1.29470i | 0.0329066 | + | 0.0569959i | ||||
\(517\) | −0.571705 | − | 0.990222i | −0.0251436 | − | 0.0435499i | ||||
\(518\) | 3.47497 | + | 1.43272i | 0.152681 | + | 0.0629503i | ||||
\(519\) | −29.4795 | −1.29401 | ||||||||
\(520\) | 14.4673 | − | 35.0341i | 0.634435 | − | 1.53635i | ||||
\(521\) | 12.6207 | + | 21.8598i | 0.552925 | + | 0.957694i | 0.998062 | + | 0.0622317i | \(0.0198218\pi\) |
−0.445137 | + | 0.895463i | \(0.646845\pi\) | |||||||
\(522\) | 5.66846 | + | 3.27269i | 0.248102 | + | 0.143242i | ||||
\(523\) | −13.2477 | −0.579279 | −0.289640 | − | 0.957136i | \(-0.593535\pi\) | ||||
−0.289640 | + | 0.957136i | \(0.593535\pi\) | |||||||
\(524\) | −1.06479 | + | 1.84426i | −0.0465154 | + | 0.0805670i | ||||
\(525\) | 38.7578 | + | 15.9798i | 1.69153 | + | 0.697414i | ||||
\(526\) | 17.9812 | + | 10.3815i | 0.784019 | + | 0.452654i | ||||
\(527\) | −34.5318 | + | 19.9369i | −1.50423 | + | 0.868466i | ||||
\(528\) | −8.13422 | + | 4.69629i | −0.353996 | + | 0.204380i | ||||
\(529\) | −20.2865 | −0.882021 | ||||||||
\(530\) | 0.383920 | 0.0166764 | ||||||||
\(531\) | 11.6518 | − | 6.72720i | 0.505647 | − | 0.291935i | ||||
\(532\) | −0.471226 | + | 0.0628224i | −0.0204303 | + | 0.00272370i | ||||
\(533\) | −12.0007 | + | 9.22903i | −0.519807 | + | 0.399754i | ||||
\(534\) | 10.4471 | − | 18.0949i | 0.452091 | − | 0.783044i | ||||
\(535\) | −20.3063 | − | 11.7238i | −0.877916 | − | 0.506865i | ||||
\(536\) | 9.31258 | − | 16.1299i | 0.402242 | − | 0.696704i | ||||
\(537\) | 5.56200 | + | 9.63366i | 0.240018 | + | 0.415723i | ||||
\(538\) | 17.5427i | 0.756320i | ||||||||
\(539\) | −2.34488 | − | 8.63809i | −0.101001 | − | 0.372069i | ||||
\(540\) | −2.16701 | − | 1.25112i | −0.0932532 | − | 0.0538398i | ||||
\(541\) | −12.4737 | − | 7.20170i | −0.536287 | − | 0.309625i | 0.207286 | − | 0.978280i | \(-0.433537\pi\) |
−0.743573 | + | 0.668655i | \(0.766870\pi\) | |||||||
\(542\) | −36.2816 | −1.55843 | ||||||||
\(543\) | 15.8782 | − | 27.5019i | 0.681401 | − | 1.18022i | ||||
\(544\) | 8.30488i | 0.356069i | ||||||||
\(545\) | −20.8328 | −0.892377 | ||||||||
\(546\) | −18.6532 | − | 18.5522i | −0.798281 | − | 0.793960i | ||||
\(547\) | 2.00679 | 0.0858042 | 0.0429021 | − | 0.999079i | \(-0.486340\pi\) | ||||
0.0429021 | + | 0.999079i | \(0.486340\pi\) | |||||||
\(548\) | − | 3.35631i | − | 0.143375i | ||||||
\(549\) | 4.58550 | − | 7.94232i | 0.195704 | − | 0.338970i | ||||
\(550\) | −13.2947 | −0.566889 | ||||||||
\(551\) | −3.30634 | − | 1.90892i | −0.140855 | − | 0.0813226i | ||||
\(552\) | −8.61757 | − | 4.97535i | −0.366788 | − | 0.211765i | ||||
\(553\) | −5.98581 | + | 4.60864i | −0.254542 | + | 0.195979i | ||||
\(554\) | 17.0863i | 0.725928i | ||||||||
\(555\) | 3.86226 | + | 6.68962i | 0.163944 | + | 0.283959i | ||||
\(556\) | 0.557497 | − | 0.965614i | 0.0236432 | − | 0.0409512i | ||||
\(557\) | −7.42977 | − | 4.28958i | −0.314810 | − | 0.181755i | 0.334267 | − | 0.942478i | \(-0.391511\pi\) |
−0.649077 | + | 0.760723i | \(0.724845\pi\) | |||||||
\(558\) | −4.16865 | + | 7.22032i | −0.176473 | + | 0.305661i | ||||
\(559\) | 5.27170 | − | 12.7659i | 0.222969 | − | 0.539942i | ||||
\(560\) | 20.6333 | + | 26.7989i | 0.871915 | + | 1.13246i | ||||
\(561\) | −17.5696 | + | 10.1438i | −0.741788 | + | 0.428272i | ||||
\(562\) | −35.9466 | −1.51631 | ||||||||
\(563\) | 12.7744 | 0.538375 | 0.269188 | − | 0.963088i | \(-0.413245\pi\) | ||||
0.269188 | + | 0.963088i | \(0.413245\pi\) | |||||||
\(564\) | −0.302231 | + | 0.174493i | −0.0127262 | + | 0.00734750i | ||||
\(565\) | −20.1835 | + | 11.6530i | −0.849126 | + | 0.490243i | ||||
\(566\) | −17.1747 | − | 9.91583i | −0.721908 | − | 0.416794i | ||||
\(567\) | −23.3992 | + | 18.0158i | −0.982676 | + | 0.756591i | ||||
\(568\) | 16.8306 | − | 29.1515i | 0.706196 | − | 1.22317i | ||||
\(569\) | 5.79116 | 0.242778 | 0.121389 | − | 0.992605i | \(-0.461265\pi\) | ||||
0.121389 | + | 0.992605i | \(0.461265\pi\) | |||||||
\(570\) | 8.04295 | + | 4.64360i | 0.336882 | + | 0.194499i | ||||
\(571\) | −22.0666 | − | 38.2204i | −0.923458 | − | 1.59948i | −0.794023 | − | 0.607888i | \(-0.792017\pi\) |
−0.129435 | − | 0.991588i | \(-0.541316\pi\) | |||||||
\(572\) | −0.811204 | − | 0.334987i | −0.0339182 | − | 0.0140065i | ||||
\(573\) | 9.73025 | 0.406487 | ||||||||
\(574\) | −1.97484 | − | 14.8131i | −0.0824281 | − | 0.618287i | ||||
\(575\) | −6.36592 | − | 11.0261i | −0.265477 | − | 0.459820i | ||||
\(576\) | 5.17835 | + | 8.96917i | 0.215765 | + | 0.373715i | ||||
\(577\) | 10.3343 | − | 5.96649i | 0.430221 | − | 0.248388i | −0.269220 | − | 0.963079i | \(-0.586766\pi\) |
0.699441 | + | 0.714691i | \(0.253432\pi\) | |||||||
\(578\) | − | 57.7037i | − | 2.40016i | ||||||
\(579\) | −37.3538 | + | 21.5662i | −1.55237 | + | 0.896261i | ||||
\(580\) | − | 2.74719i | − | 0.114071i | ||||||
\(581\) | 2.34455 | − | 5.68654i | 0.0972685 | − | 0.235918i | ||||
\(582\) | −0.659895 | − | 1.14297i | −0.0273535 | − | 0.0473777i | ||||
\(583\) | − | 0.102284i | − | 0.00423617i | ||||||
\(584\) | −1.12043 | − | 1.94064i | −0.0463637 | − | 0.0803043i | ||||
\(585\) | −2.03633 | − | 15.3396i | −0.0841919 | − | 0.634215i | ||||
\(586\) | −7.79091 | + | 13.4943i | −0.321840 | + | 0.557443i | ||||
\(587\) | 17.6250 | − | 10.1758i | 0.727462 | − | 0.420000i | −0.0900312 | − | 0.995939i | \(-0.528697\pi\) |
0.817493 | + | 0.575939i | \(0.195363\pi\) | |||||||
\(588\) | −2.63648 | + | 0.715695i | −0.108727 | + | 0.0295148i | ||||
\(589\) | 2.43152 | − | 4.21152i | 0.100189 | − | 0.173533i | ||||
\(590\) | 46.4889 | + | 26.8404i | 1.91392 | + | 1.10500i | ||||
\(591\) | 11.9154i | 0.490133i | ||||||||
\(592\) | 3.78397i | 0.155520i | ||||||||
\(593\) | 15.7443 | + | 9.09000i | 0.646543 | + | 0.373282i | 0.787130 | − | 0.616787i | \(-0.211566\pi\) |
−0.140588 | + | 0.990068i | \(0.544899\pi\) | |||||||
\(594\) | 3.16859 | − | 5.48817i | 0.130009 | − | 0.225182i | ||||
\(595\) | 44.5670 | + | 57.8846i | 1.82707 | + | 2.37304i | ||||
\(596\) | 1.72759 | − | 0.997422i | 0.0707646 | − | 0.0408560i | ||||
\(597\) | 10.8842 | − | 18.8520i | 0.445460 | − | 0.771560i | ||||
\(598\) | 1.05141 | + | 7.92026i | 0.0429955 | + | 0.323884i | ||||
\(599\) | 19.1341 | + | 33.1412i | 0.781797 | + | 1.35411i | 0.930894 | + | 0.365290i | \(0.119030\pi\) |
−0.149096 | + | 0.988823i | \(0.547636\pi\) | |||||||
\(600\) | 46.6888i | 1.90606i | ||||||||
\(601\) | 13.4360 | + | 23.2718i | 0.548064 | + | 0.949275i | 0.998407 | + | 0.0564195i | \(0.0179684\pi\) |
−0.450343 | + | 0.892856i | \(0.648698\pi\) | |||||||
\(602\) | 8.31740 | + | 10.8028i | 0.338992 | + | 0.440290i | ||||
\(603\) | − | 7.60372i | − | 0.309648i | ||||||
\(604\) | −0.777170 | + | 0.448699i | −0.0316226 | + | 0.0182573i | ||||
\(605\) | − | 33.4122i | − | 1.35840i | ||||||
\(606\) | 6.87459 | − | 3.96904i | 0.279261 | − | 0.161231i | ||||
\(607\) | 4.70105 | + | 8.14245i | 0.190810 | + | 0.330492i | 0.945519 | − | 0.325568i | \(-0.105555\pi\) |
−0.754709 | + | 0.656059i | \(0.772222\pi\) | |||||||
\(608\) | −0.506435 | − | 0.877171i | −0.0205386 | − | 0.0355740i | ||||
\(609\) | −20.2831 | − | 8.36270i | −0.821913 | − | 0.338874i | ||||
\(610\) | 36.5908 | 1.48152 | ||||||||
\(611\) | 2.98005 | + | 1.23061i | 0.120560 | + | 0.0497853i | ||||
\(612\) | 0.886124 | + | 1.53481i | 0.0358194 | + | 0.0620411i | ||||
\(613\) | 11.5089 | + | 6.64469i | 0.464842 | + | 0.268376i | 0.714078 | − | 0.700066i | \(-0.246846\pi\) |
−0.249236 | + | 0.968443i | \(0.580180\pi\) | |||||||
\(614\) | −39.4602 | −1.59248 | ||||||||
\(615\) | 15.3557 | − | 26.5969i | 0.619204 | − | 1.07249i | ||||
\(616\) | 7.89843 | − | 6.08123i | 0.318237 | − | 0.245020i | ||||
\(617\) | −9.72211 | − | 5.61306i | −0.391397 | − | 0.225973i | 0.291368 | − | 0.956611i | \(-0.405890\pi\) |
−0.682765 | + | 0.730638i | \(0.739223\pi\) | |||||||
\(618\) | −27.0724 | + | 15.6303i | −1.08901 | + | 0.628742i | ||||
\(619\) | −8.04109 | + | 4.64253i | −0.323199 | + | 0.186599i | −0.652817 | − | 0.757515i | \(-0.726413\pi\) |
0.329619 | + | 0.944114i | \(0.393080\pi\) | |||||||
\(620\) | 3.49929 | 0.140535 | ||||||||
\(621\) | 6.06888 | 0.243536 | ||||||||
\(622\) | −0.175512 | + | 0.101332i | −0.00703740 | + | 0.00406304i | ||||
\(623\) | −7.64055 | + | 18.5316i | −0.306112 | + | 0.742453i | ||||
\(624\) | 10.1089 | − | 24.4797i | 0.404681 | − | 0.979974i | ||||
\(625\) | 1.95363 | − | 3.38379i | 0.0781452 | − | 0.135351i | ||||
\(626\) | −12.2571 | − | 7.07665i | −0.489893 | − | 0.282840i | ||||
\(627\) | 1.23715 | − | 2.14280i | 0.0494068 | − | 0.0855752i | ||||
\(628\) | −0.856848 | − | 1.48410i | −0.0341920 | − | 0.0592222i | ||||
\(629\) | 8.17322i | 0.325888i | ||||||||
\(630\) | 14.1218 | + | 5.82239i | 0.562625 | + | 0.231969i | ||||
\(631\) | 9.00894 | + | 5.20132i | 0.358640 | + | 0.207061i | 0.668484 | − | 0.743726i | \(-0.266943\pi\) |
−0.309844 | + | 0.950787i | \(0.600277\pi\) | |||||||
\(632\) | −7.28611 | − | 4.20664i | −0.289826 | − | 0.167331i | ||||
\(633\) | −9.56474 | −0.380164 | ||||||||
\(634\) | 1.01347 | − | 1.75538i | 0.0402499 | − | 0.0697149i | ||||
\(635\) | 52.5046i | 2.08358i | ||||||||
\(636\) | −0.0312187 | −0.00123790 | ||||||||
\(637\) | 20.0900 | + | 15.2772i | 0.795994 | + | 0.605305i | ||||
\(638\) | 6.95754 | 0.275452 | ||||||||
\(639\) | − | 13.7422i | − | 0.543632i | ||||||
\(640\) | −16.8322 | + | 29.1542i | −0.665351 | + | 1.15242i | ||||
\(641\) | −14.8591 | −0.586899 | −0.293449 | − | 0.955975i | \(-0.594803\pi\) | ||||
−0.293449 | + | 0.955975i | \(0.594803\pi\) | |||||||
\(642\) | −15.6965 | − | 9.06239i | −0.619492 | − | 0.357664i | ||||
\(643\) | 1.98945 | + | 1.14861i | 0.0784563 | + | 0.0452968i | 0.538715 | − | 0.842488i | \(-0.318910\pi\) |
−0.460259 | + | 0.887785i | \(0.652243\pi\) | |||||||
\(644\) | 0.767033 | + | 0.316247i | 0.0302254 | + | 0.0124619i | ||||
\(645\) | 28.0185i | 1.10323i | ||||||||
\(646\) | 4.91334 | + | 8.51016i | 0.193313 | + | 0.334828i | ||||
\(647\) | 3.99932 | − | 6.92703i | 0.157230 | − | 0.272330i | −0.776639 | − | 0.629946i | \(-0.783077\pi\) |
0.933869 | + | 0.357616i | \(0.116410\pi\) | |||||||
\(648\) | −28.4823 | − | 16.4443i | −1.11889 | − | 0.645991i | ||||
\(649\) | 7.15081 | − | 12.3856i | 0.280694 | − | 0.486176i | ||||
\(650\) | 29.7166 | − | 22.8533i | 1.16558 | − | 0.896380i | ||||
\(651\) | 10.6522 | − | 25.8360i | 0.417491 | − | 1.01259i | ||||
\(652\) | 1.98368 | − | 1.14528i | 0.0776871 | − | 0.0448526i | ||||
\(653\) | 3.98444 | 0.155923 | 0.0779615 | − | 0.996956i | \(-0.475159\pi\) | ||||
0.0779615 | + | 0.996956i | \(0.475159\pi\) | |||||||
\(654\) | −16.1035 | −0.629696 | ||||||||
\(655\) | −34.5645 | + | 19.9558i | −1.35055 | + | 0.779738i | ||||
\(656\) | 13.0289 | − | 7.52225i | 0.508694 | − | 0.293695i | ||||
\(657\) | −0.792267 | − | 0.457415i | −0.0309093 | − | 0.0178455i | ||||
\(658\) | −2.52178 | + | 1.94159i | −0.0983094 | + | 0.0756912i | ||||
\(659\) | 13.7501 | − | 23.8159i | 0.535629 | − | 0.927737i | −0.463504 | − | 0.886095i | \(-0.653408\pi\) |
0.999133 | − | 0.0416417i | \(-0.0132588\pi\) | |||||||
\(660\) | 1.78042 | 0.0693028 | ||||||||
\(661\) | 6.05023 | + | 3.49310i | 0.235327 | + | 0.135866i | 0.613027 | − | 0.790062i | \(-0.289952\pi\) |
−0.377700 | + | 0.925928i | \(0.623285\pi\) | |||||||
\(662\) | 16.9841 | + | 29.4173i | 0.660105 | + | 1.14333i | ||||
\(663\) | 21.8349 | − | 52.8752i | 0.847996 | − | 2.05350i | ||||
\(664\) | 6.85019 | 0.265839 | ||||||||
\(665\) | −8.23704 | − | 3.39612i | −0.319419 | − | 0.131696i | ||||
\(666\) | 0.854479 | + | 1.48000i | 0.0331104 | + | 0.0573488i | ||||
\(667\) | 3.33148 | + | 5.77029i | 0.128995 | + | 0.223427i | ||||
\(668\) | −3.20195 | + | 1.84865i | −0.123887 | + | 0.0715263i | ||||
\(669\) | 49.6646i | 1.92014i | ||||||||
\(670\) | 26.2731 | − | 15.1688i | 1.01502 | − | 0.586022i | ||||
\(671\) | − | 9.74849i | − | 0.376336i | ||||||
\(672\) | −3.55086 | − | 4.61193i | −0.136977 | − | 0.177909i | ||||
\(673\) | 2.72783 | + | 4.72474i | 0.105150 | + | 0.182125i | 0.913800 | − | 0.406166i | \(-0.133134\pi\) |
−0.808649 | + | 0.588291i | \(0.799801\pi\) | |||||||
\(674\) | − | 43.2909i | − | 1.66750i | ||||||
\(675\) | −14.2376 | − | 24.6603i | −0.548006 | − | 0.949174i | ||||
\(676\) | 2.38905 | − | 0.645671i | 0.0918866 | − | 0.0248335i | ||||
\(677\) | −16.8961 | + | 29.2649i | −0.649371 | + | 1.12474i | 0.333903 | + | 0.942607i | \(0.391634\pi\) |
−0.983273 | + | 0.182135i | \(0.941699\pi\) | |||||||
\(678\) | −15.6016 | + | 9.00761i | −0.599177 | + | 0.345935i | ||||
\(679\) | 0.772421 | + | 1.00324i | 0.0296428 | + | 0.0385007i | ||||
\(680\) | −40.6795 | + | 70.4590i | −1.55999 | + | 2.70198i | ||||
\(681\) | 27.2979 | + | 15.7605i | 1.04606 | + | 0.603942i | ||||
\(682\) | 8.86231i | 0.339355i | ||||||||
\(683\) | − | 12.2988i | − | 0.470602i | −0.971923 | − | 0.235301i | \(-0.924392\pi\) | ||
0.971923 | − | 0.235301i | \(-0.0756076\pi\) | |||||||
\(684\) | −0.187187 | − | 0.108072i | −0.00715726 | − | 0.00413225i | ||||
\(685\) | 31.4514 | − | 54.4754i | 1.20170 | − | 2.08140i | ||||
\(686\) | −22.9704 | + | 9.64698i | −0.877015 | + | 0.368323i | ||||
\(687\) | 29.0311 | − | 16.7611i | 1.10760 | − | 0.639476i | ||||
\(688\) | −6.86265 | + | 11.8865i | −0.261636 | + | 0.453167i | ||||
\(689\) | 0.175823 | + | 0.228627i | 0.00669834 | + | 0.00870998i | ||||
\(690\) | −8.10410 | − | 14.0367i | −0.308518 | − | 0.534369i | ||||
\(691\) | − | 11.0897i | − | 0.421871i | −0.977500 | − | 0.210935i | \(-0.932349\pi\) | ||
0.977500 | − | 0.210935i | \(-0.0676509\pi\) | |||||||
\(692\) | 1.36869 | + | 2.37064i | 0.0520297 | + | 0.0901181i | ||||
\(693\) | 1.55120 | − | 3.76232i | 0.0589251 | − | 0.142919i | ||||
\(694\) | − | 33.3129i | − | 1.26454i | ||||||
\(695\) | 18.0972 | − | 10.4484i | 0.686465 | − | 0.396331i | ||||
\(696\) | − | 24.4337i | − | 0.926156i | ||||||
\(697\) | 28.1419 | − | 16.2478i | 1.06595 | − | 0.615428i | ||||
\(698\) | 7.77247 | + | 13.4623i | 0.294193 | + | 0.509556i | ||||
\(699\) | −29.8400 | − | 51.6844i | −1.12865 | − | 1.95488i | ||||
\(700\) | −0.514427 | − | 3.85868i | −0.0194435 | − | 0.145844i | ||||
\(701\) | 10.6470 | 0.402133 | 0.201066 | − | 0.979578i | \(-0.435559\pi\) | ||||
0.201066 | + | 0.979578i | \(0.435559\pi\) | |||||||
\(702\) | 2.35153 | + | 17.7140i | 0.0887526 | + | 0.668571i | ||||
\(703\) | −0.498406 | − | 0.863265i | −0.0187977 | − | 0.0325587i | ||||
\(704\) | 9.53396 | + | 5.50443i | 0.359325 | + | 0.207456i | ||||
\(705\) | −6.54058 | −0.246333 | ||||||||
\(706\) | −13.5117 | + | 23.4030i | −0.508521 | + | 0.880784i | ||||
\(707\) | −6.03413 | + | 4.64585i | −0.226937 | + | 0.174725i | ||||
\(708\) | −3.78027 | − | 2.18254i | −0.142071 | − | 0.0820248i | ||||
\(709\) | 35.2532 | − | 20.3535i | 1.32396 | − | 0.764391i | 0.339605 | − | 0.940568i | \(-0.389707\pi\) |
0.984358 | + | 0.176178i | \(0.0563733\pi\) | |||||||
\(710\) | 47.4833 | − | 27.4145i | 1.78202 | − | 1.02885i | ||||
\(711\) | −3.43472 | −0.128812 | ||||||||
\(712\) | −22.3237 | −0.836618 | ||||||||
\(713\) | −7.35003 | + | 4.24354i | −0.275261 | + | 0.158922i | ||||
\(714\) | 34.4498 | + | 44.7442i | 1.28925 | + | 1.67451i | ||||
\(715\) | −10.0273 | − | 13.0387i | −0.375001 | − | 0.487621i | ||||
\(716\) | 0.516470 | − | 0.894552i | 0.0193014 | − | 0.0334310i | ||||
\(717\) | 15.3648 | + | 8.87089i | 0.573810 | + | 0.331290i | ||||
\(718\) | 10.1235 | − | 17.5344i | 0.377806 | − | 0.654380i | ||||
\(719\) | −4.88769 | − | 8.46572i | −0.182280 | − | 0.315718i | 0.760377 | − | 0.649482i | \(-0.225014\pi\) |
−0.942657 | + | 0.333764i | \(0.891681\pi\) | |||||||
\(720\) | 15.3775i | 0.573086i | ||||||||
\(721\) | 23.7627 | − | 18.2956i | 0.884968 | − | 0.681363i | ||||
\(722\) | 21.0971 | + | 12.1804i | 0.785153 | + | 0.453308i | ||||
\(723\) | −32.3098 | − | 18.6541i | −1.20161 | − | 0.693752i | ||||
\(724\) | −2.94881 | −0.109592 | ||||||||
\(725\) | 15.6313 | − | 27.0743i | 0.580533 | − | 1.00551i | ||||
\(726\) | − | 25.8273i | − | 0.958540i | ||||||
\(727\) | −12.2091 | −0.452811 | −0.226406 | − | 0.974033i | \(-0.572697\pi\) | ||||
−0.226406 | + | 0.974033i | \(0.572697\pi\) | |||||||
\(728\) | −7.20122 | + | 27.1701i | −0.266895 | + | 1.00699i | ||||
\(729\) | 9.23219 | 0.341933 | ||||||||
\(730\) | − | 3.65002i | − | 0.135093i | ||||||
\(731\) | −14.8231 | + | 25.6743i | −0.548251 | + | 0.949598i | ||||
\(732\) | −2.97539 | −0.109974 | ||||||||
\(733\) | −19.3256 | − | 11.1577i | −0.713809 | − | 0.412118i | 0.0986608 | − | 0.995121i | \(-0.468544\pi\) |
−0.812470 | + | 0.583003i | \(0.801877\pi\) | |||||||
\(734\) | 10.4891 | + | 6.05591i | 0.387161 | + | 0.223528i | ||||
\(735\) | −49.4987 | − | 13.0897i | −1.82579 | − | 0.482822i | ||||
\(736\) | 1.76768i | 0.0651576i | ||||||||
\(737\) | −4.04126 | − | 6.99968i | −0.148862 | − | 0.257836i | ||||
\(738\) | 3.39728 | − | 5.88426i | 0.125056 | − | 0.216603i | ||||
\(739\) | −36.6960 | − | 21.1865i | −1.34989 | − | 0.779357i | −0.361653 | − | 0.932313i | \(-0.617787\pi\) |
−0.988233 | + | 0.152956i | \(0.951121\pi\) | |||||||
\(740\) | 0.358637 | − | 0.621178i | 0.0131838 | − | 0.0228350i | ||||
\(741\) | 0.918130 | + | 6.91624i | 0.0337283 | + | 0.254074i | ||||
\(742\) | −0.282206 | + | 0.0376229i | −0.0103601 | + | 0.00138118i | ||||
\(743\) | −26.8296 | + | 15.4901i | −0.984282 | + | 0.568276i | −0.903560 | − | 0.428461i | \(-0.859056\pi\) |
−0.0807220 | + | 0.996737i | \(0.525723\pi\) | |||||||
\(744\) | 31.1229 | 1.14102 | ||||||||
\(745\) | 37.3866 | 1.36974 | ||||||||
\(746\) | 18.8020 | − | 10.8553i | 0.688390 | − | 0.397442i | ||||
\(747\) | 2.42192 | − | 1.39830i | 0.0886133 | − | 0.0511609i | ||||
\(748\) | 1.63146 | + | 0.941923i | 0.0596520 | + | 0.0344401i | ||||
\(749\) | 16.0753 | + | 6.62783i | 0.587379 | + | 0.242176i | ||||
\(750\) | −13.4260 | + | 23.2545i | −0.490248 | + | 0.849135i | ||||
\(751\) | −22.5660 | −0.823444 | −0.411722 | − | 0.911309i | \(-0.635073\pi\) | ||||
−0.411722 | + | 0.911309i | \(0.635073\pi\) | |||||||
\(752\) | −2.77475 | − | 1.60200i | −0.101185 | − | 0.0584190i | ||||
\(753\) | 16.2696 | + | 28.1798i | 0.592897 | + | 1.02693i | ||||
\(754\) | −15.5516 | + | 11.9598i | −0.566356 | + | 0.435551i | ||||
\(755\) | −16.8187 | −0.612095 | ||||||||
\(756\) | 1.71550 | + | 0.707298i | 0.0623921 | + | 0.0257242i | ||||
\(757\) | −16.1404 | − | 27.9560i | −0.586633 | − | 1.01608i | −0.994670 | − | 0.103112i | \(-0.967120\pi\) |
0.408037 | − | 0.912965i | \(-0.366213\pi\) | |||||||
\(758\) | 10.5368 | + | 18.2504i | 0.382716 | + | 0.662883i | ||||
\(759\) | −3.73966 | + | 2.15909i | −0.135741 | + | 0.0783701i | ||||
\(760\) | − | 9.92260i | − | 0.359931i | ||||||
\(761\) | −25.7657 | + | 14.8758i | −0.934006 | + | 0.539249i | −0.888076 | − | 0.459696i | \(-0.847958\pi\) |
−0.0459296 | + | 0.998945i | \(0.514625\pi\) | |||||||
\(762\) | 40.5855i | 1.47026i | ||||||||
\(763\) | 15.3134 | − | 2.04154i | 0.554383 | − | 0.0739086i | ||||
\(764\) | −0.451761 | − | 0.782473i | −0.0163441 | − | 0.0283089i | ||||
\(765\) | 33.2148i | 1.20088i | ||||||||
\(766\) | −16.5684 | − | 28.6972i | −0.598639 | − | 1.03687i | ||||
\(767\) | 5.30687 | + | 39.9764i | 0.191620 | + | 1.44347i | ||||
\(768\) | 4.63947 | − | 8.03581i | 0.167413 | − | 0.289967i | ||||
\(769\) | −36.2090 | + | 20.9053i | −1.30573 | + | 0.753863i | −0.981380 | − | 0.192075i | \(-0.938478\pi\) |
−0.324349 | + | 0.945938i | \(0.605145\pi\) | |||||||
\(770\) | 16.0944 | − | 2.14566i | 0.580003 | − | 0.0773242i | ||||
\(771\) | −24.9361 | + | 43.1907i | −0.898053 | + | 1.55547i | ||||
\(772\) | 3.46856 | + | 2.00257i | 0.124836 | + | 0.0720742i | ||||
\(773\) | 41.4336i | 1.49026i | 0.666917 | + | 0.745132i | \(0.267613\pi\) | ||||
−0.666917 | + | 0.745132i | \(0.732387\pi\) | |||||||
\(774\) | 6.19877i | 0.222810i | ||||||||
\(775\) | 34.4864 | + | 19.9107i | 1.23879 | + | 0.715215i | ||||
\(776\) | −0.705044 | + | 1.22117i | −0.0253096 | + | 0.0438375i | ||||
\(777\) | −3.49457 | − | 4.53882i | −0.125367 | − | 0.162829i | ||||
\(778\) | −21.9680 | + | 12.6832i | −0.787592 | + | 0.454716i | ||||
\(779\) | −1.98159 | + | 3.43221i | −0.0709978 | + | 0.122972i | ||||
\(780\) | −3.97963 | + | 3.06050i | −0.142493 | + | 0.109583i | ||||
\(781\) | −7.30376 | − | 12.6505i | −0.261349 | − | 0.452670i | ||||
\(782\) | − | 17.1497i | − | 0.613273i | ||||||
\(783\) | 7.45098 | + | 12.9055i | 0.266276 | + | 0.461204i | ||||
\(784\) | −17.7930 | − | 17.6770i | −0.635464 | − | 0.631320i | ||||
\(785\) | − | 32.1175i | − | 1.14632i | ||||||
\(786\) | −26.7180 | + | 15.4256i | −0.952998 | + | 0.550214i | ||||
\(787\) | 23.8627i | 0.850612i | 0.905050 | + | 0.425306i | \(0.139833\pi\) | ||||
−0.905050 | + | 0.425306i | \(0.860167\pi\) | |||||||
\(788\) | 0.958193 | − | 0.553213i | 0.0341342 | − | 0.0197074i | ||||
\(789\) | −15.8212 | − | 27.4031i | −0.563250 | − | 0.975577i | ||||
\(790\) | −6.85198 | − | 11.8680i | −0.243782 | − | 0.422243i | ||||
\(791\) | 13.6942 | − | 10.5436i | 0.486911 | − | 0.374887i | ||||
\(792\) | 4.53221 | 0.161045 | ||||||||
\(793\) | 16.7574 | + | 21.7900i | 0.595073 | + | 0.773785i | ||||
\(794\) | 9.75490 | + | 16.8960i | 0.346188 | + | 0.599616i | ||||
\(795\) | −0.506701 | − | 0.292544i | −0.0179708 | − | 0.0103755i | ||||
\(796\) | −2.02135 | −0.0716447 | ||||||||
\(797\) | 25.4115 | − | 44.0141i | 0.900123 | − | 1.55906i | 0.0727899 | − | 0.997347i | \(-0.476810\pi\) |
0.827333 | − | 0.561712i | \(-0.189857\pi\) | |||||||
\(798\) | −6.36715 | − | 2.62517i | −0.225395 | − | 0.0929299i | ||||
\(799\) | −5.99335 | − | 3.46026i | −0.212029 | − | 0.122415i | ||||
\(800\) | 7.18279 | − | 4.14699i | 0.253950 | − | 0.146618i | ||||
\(801\) | −7.89267 | + | 4.55683i | −0.278874 | + | 0.161008i | ||||
\(802\) | −28.2349 | −0.997008 | ||||||||
\(803\) | −0.972438 | −0.0343166 | ||||||||
\(804\) | −2.13641 | + | 1.23346i | −0.0753454 | + | 0.0435007i | ||||
\(805\) | 9.48602 | + | 12.3206i | 0.334338 | + | 0.434246i | ||||
\(806\) | −15.2341 | − | 19.8092i | −0.536598 | − | 0.697748i | ||||
\(807\) | 13.3674 | − | 23.1530i | 0.470555 | − | 0.815025i | ||||
\(808\) | −7.34493 | − | 4.24060i | −0.258394 | − | 0.149184i | ||||
\(809\) | −2.20588 | + | 3.82070i | −0.0775547 | + | 0.134329i | −0.902194 | − | 0.431330i | \(-0.858045\pi\) |
0.824640 | + | 0.565658i | \(0.191378\pi\) | |||||||
\(810\) | −26.7852 | − | 46.3933i | −0.941136 | − | 1.63010i | ||||
\(811\) | − | 17.6493i | − | 0.619750i | −0.950777 | − | 0.309875i | \(-0.899713\pi\) | ||
0.950777 | − | 0.309875i | \(-0.100287\pi\) | |||||||
\(812\) | 0.269215 | + | 2.01937i | 0.00944760 | + | 0.0708658i | ||||
\(813\) | 47.8848 | + | 27.6463i | 1.67939 | + | 0.969598i | ||||
\(814\) | 1.57320 | + | 0.908285i | 0.0551405 | + | 0.0318354i | ||||
\(815\) | 42.9288 | 1.50373 | ||||||||
\(816\) | −28.4244 | + | 49.2326i | −0.995054 | + | 1.72348i | ||||
\(817\) | − | 3.61566i | − | 0.126496i | ||||||
\(818\) | −28.8249 | −1.00784 | ||||||||
\(819\) | 3.00006 | + | 11.0761i | 0.104831 | + | 0.387029i | ||||
\(820\) | −2.85178 | −0.0995884 | ||||||||
\(821\) | − | 3.56043i | − | 0.124260i | −0.998068 | − | 0.0621299i | \(-0.980211\pi\) | ||
0.998068 | − | 0.0621299i | \(-0.0197893\pi\) | |||||||
\(822\) | 24.3116 | − | 42.1089i | 0.847964 | − | 1.46872i | ||||
\(823\) | −21.8665 | −0.762217 | −0.381109 | − | 0.924530i | \(-0.624458\pi\) | ||||
−0.381109 | + | 0.924530i | \(0.624458\pi\) | |||||||
\(824\) | 28.9247 | + | 16.6997i | 1.00764 | + | 0.581760i | ||||
\(825\) | 17.5465 | + | 10.1305i | 0.610891 | + | 0.352698i | ||||
\(826\) | −36.8026 | − | 15.1737i | −1.28053 | − | 0.527960i | ||||
\(827\) | − | 18.1361i | − | 0.630653i | −0.948983 | − | 0.315327i | \(-0.897886\pi\) | ||
0.948983 | − | 0.315327i | \(-0.102114\pi\) | |||||||
\(828\) | 0.188610 | + | 0.326682i | 0.00655465 | + | 0.0113530i | ||||
\(829\) | 15.4497 | − | 26.7596i | 0.536590 | − | 0.929401i | −0.462495 | − | 0.886622i | \(-0.653046\pi\) |
0.999085 | − | 0.0427787i | \(-0.0136210\pi\) | |||||||
\(830\) | 9.66305 | + | 5.57896i | 0.335409 | + | 0.193649i | ||||
\(831\) | 13.0196 | − | 22.5507i | 0.451646 | − | 0.782275i | ||||
\(832\) | −30.7724 | + | 4.08504i | −1.06684 | + | 0.141623i | ||||
\(833\) | −38.4322 | − | 38.1816i | −1.33160 | − | 1.32291i | ||||
\(834\) | 13.9889 | − | 8.07651i | 0.484397 | − | 0.279667i | ||||
\(835\) | −69.2933 | −2.39799 | ||||||||
\(836\) | −0.229755 | −0.00794625 | ||||||||
\(837\) | −16.4386 | + | 9.49084i | −0.568202 | + | 0.328051i | ||||
\(838\) | −9.27813 | + | 5.35673i | −0.320508 | + | 0.185045i | ||||
\(839\) | −13.3333 | − | 7.69796i | −0.460315 | − | 0.265763i | 0.251862 | − | 0.967763i | \(-0.418957\pi\) |
−0.712177 | + | 0.702000i | \(0.752291\pi\) | |||||||
\(840\) | −7.53518 | − | 56.5209i | −0.259989 | − | 1.95016i | ||||
\(841\) | 6.31965 | − | 10.9459i | 0.217919 | − | 0.377446i | ||||
\(842\) | 3.79065 | 0.130635 | ||||||||
\(843\) | 47.4426 | + | 27.3910i | 1.63401 | + | 0.943396i | ||||
\(844\) | 0.444076 | + | 0.769163i | 0.0152857 | + | 0.0264757i | ||||
\(845\) | 44.8265 | + | 11.9076i | 1.54208 | + | 0.409636i | ||||
\(846\) | −1.44703 | −0.0497498 | ||||||||
\(847\) | 3.27428 | + | 24.5602i | 0.112506 | + | 0.843897i | ||||
\(848\) | −0.143307 | − | 0.248216i | −0.00492119 | − | 0.00852376i | ||||
\(849\) | 15.1116 | + | 26.1740i | 0.518628 | + | 0.898290i | ||||
\(850\) | −69.6862 | + | 40.2333i | −2.39022 | + | 1.37999i | ||||
\(851\) | 1.73966i | 0.0596347i | ||||||||
\(852\) | −3.86113 | + | 2.22922i | −0.132280 | + | 0.0763719i | ||||
\(853\) | 23.7772i | 0.814116i | 0.913402 | + | 0.407058i | \(0.133445\pi\) | ||||
−0.913402 | + | 0.407058i | \(0.866555\pi\) | |||||||
\(854\) | −26.8966 | + | 3.58577i | −0.920382 | + | 0.122702i | ||||
\(855\) | −2.02545 | − | 3.50818i | −0.0692690 | − | 0.119977i | ||||
\(856\) | 19.3648i | 0.661877i | ||||||||
\(857\) | −15.0525 | − | 26.0717i | −0.514184 | − | 0.890592i | −0.999865 | − | 0.0164561i | \(-0.994762\pi\) |
0.485681 | − | 0.874136i | \(-0.338572\pi\) | |||||||
\(858\) | −7.75102 | − | 10.0788i | −0.264615 | − | 0.344085i | ||||
\(859\) | 7.56717 | − | 13.1067i | 0.258188 | − | 0.447195i | −0.707568 | − | 0.706645i | \(-0.750208\pi\) |
0.965757 | + | 0.259450i | \(0.0835411\pi\) | |||||||
\(860\) | 2.25315 | − | 1.30086i | 0.0768318 | − | 0.0443589i | ||||
\(861\) | −8.68107 | + | 21.0553i | −0.295850 | + | 0.717562i | ||||
\(862\) | 3.85828 | − | 6.68274i | 0.131414 | − | 0.227615i | ||||
\(863\) | 15.8186 | + | 9.13287i | 0.538471 | + | 0.310886i | 0.744459 | − | 0.667668i | \(-0.232707\pi\) |
−0.205988 | + | 0.978555i | \(0.566041\pi\) | |||||||
\(864\) | 3.95348i | 0.134500i | ||||||||
\(865\) | 51.3029i | 1.74435i | ||||||||
\(866\) | 28.5724 | + | 16.4963i | 0.970929 | + | 0.560566i | ||||
\(867\) | −43.9697 | + | 76.1578i | −1.49329 | + | 2.58646i | ||||
\(868\) | −2.57221 | + | 0.342919i | −0.0873064 | + | 0.0116394i | ||||
\(869\) | −3.16186 | + | 1.82550i | −0.107259 | + | 0.0619259i | ||||
\(870\) | 19.8994 | − | 34.4668i | 0.674653 | − | 1.16853i | ||||
\(871\) | 21.0654 | + | 8.69895i | 0.713772 | + | 0.294753i | ||||
\(872\) | 8.60263 | + | 14.9002i | 0.291322 | + | 0.504584i | ||||
\(873\) | 0.575668i | 0.0194834i | ||||||||
\(874\) | 1.04580 | + | 1.81137i | 0.0353746 | + | 0.0612706i | ||||
\(875\) | 9.81919 | − | 23.8157i | 0.331949 | − | 0.805118i | ||||
\(876\) | 0.296803i | 0.0100281i | ||||||||
\(877\) | −6.05906 | + | 3.49820i | −0.204600 | + | 0.118126i | −0.598799 | − | 0.800899i | \(-0.704355\pi\) |
0.394199 | + | 0.919025i | \(0.371022\pi\) | |||||||
\(878\) | 49.2922i | 1.66353i | ||||||||
\(879\) | 20.5650 | − | 11.8732i | 0.693641 | − | 0.400474i | ||||
\(880\) | 8.17292 | + | 14.1559i | 0.275509 | + | 0.477195i | ||||
\(881\) | 12.8873 | + | 22.3215i | 0.434184 | + | 0.752029i | 0.997229 | − | 0.0743977i | \(-0.0237034\pi\) |
−0.563045 | + | 0.826427i | \(0.690370\pi\) | |||||||
\(882\) | −10.9510 | − | 2.89595i | −0.368739 | − | 0.0975117i | ||||
\(883\) | −16.4526 | −0.553674 | −0.276837 | − | 0.960917i | \(-0.589286\pi\) | ||||
−0.276837 | + | 0.960917i | \(0.589286\pi\) | |||||||
\(884\) | −5.26580 | + | 0.699034i | −0.177108 | + | 0.0235111i | ||||
\(885\) | −40.9043 | − | 70.8484i | −1.37498 | − | 2.38154i | ||||
\(886\) | 31.5637 | + | 18.2233i | 1.06040 | + | 0.612225i | ||||
\(887\) | 55.2455 | 1.85496 | 0.927481 | − | 0.373871i | \(-0.121970\pi\) | ||||
0.927481 | + | 0.373871i | \(0.121970\pi\) | |||||||
\(888\) | 3.18974 | − | 5.52479i | 0.107041 | − | 0.185400i | ||||
\(889\) | −5.14527 | − | 38.5943i | −0.172567 | − | 1.29441i | ||||
\(890\) | −31.4904 | − | 18.1810i | −1.05556 | − | 0.609429i | ||||
\(891\) | −12.3601 | + | 7.13611i | −0.414079 | + | 0.239069i | ||||
\(892\) | 3.99385 | − | 2.30585i | 0.133724 | − | 0.0772056i | ||||
\(893\) | 0.844032 | 0.0282444 | ||||||||
\(894\) | 28.8995 | 0.966542 | ||||||||
\(895\) | 16.7654 | − | 9.67949i | 0.560404 | − | 0.323550i | ||||
\(896\) | 9.51575 | − | 23.0798i | 0.317899 | − | 0.771041i | ||||
\(897\) | 4.64751 | − | 11.2544i | 0.155176 | − | 0.375774i | ||||
\(898\) | 18.4514 | − | 31.9587i | 0.615731 | − | 1.06648i | ||||
\(899\) | −18.0478 | − | 10.4199i | −0.601927 | − | 0.347523i | ||||
\(900\) | 0.884960 | − | 1.53280i | 0.0294987 | − | 0.0510932i | ||||
\(901\) | −0.309538 | − | 0.536136i | −0.0103122 | − | 0.0178613i | ||||
\(902\) | − | 7.22241i | − | 0.240480i | ||||||
\(903\) | −2.74572 | − | 20.5954i | −0.0913718 | − | 0.685373i | ||||
\(904\) | 16.6691 | + | 9.62388i | 0.554405 | + | 0.320086i | ||||
\(905\) | −47.8614 | − | 27.6328i | −1.59097 | − | 0.918544i | ||||
\(906\) | −13.0007 | −0.431919 | ||||||||
\(907\) | 23.9212 | − | 41.4327i | 0.794290 | − | 1.37575i | −0.128998 | − | 0.991645i | \(-0.541176\pi\) |
0.923289 | − | 0.384107i | \(-0.125490\pi\) | |||||||
\(908\) | − | 2.92694i | − | 0.0971338i | ||||||
\(909\) | −3.46245 | −0.114842 | ||||||||
\(910\) | −32.2862 | + | 32.4619i | −1.07028 | + | 1.07610i | ||||
\(911\) | −23.0711 | −0.764380 | −0.382190 | − | 0.924084i | \(-0.624830\pi\) | ||||
−0.382190 | + | 0.924084i | \(0.624830\pi\) | |||||||
\(912\) | − | 6.93333i | − | 0.229585i | ||||||
\(913\) | 1.48635 | − | 2.57443i | 0.0491909 | − | 0.0852011i | ||||
\(914\) | 53.3569 | 1.76489 | ||||||||
\(915\) | −48.2928 | − | 27.8819i | −1.59651 | − | 0.921746i | ||||
\(916\) | −2.69574 | − | 1.55638i | −0.0890697 | − | 0.0514244i | ||||
\(917\) | 23.4515 | − | 18.0560i | 0.774438 | − | 0.596262i | ||||
\(918\) | − | 38.3560i | − | 1.26594i | ||||||
\(919\) | 21.7184 | + | 37.6174i | 0.716424 | + | 1.24088i | 0.962408 | + | 0.271609i | \(0.0875557\pi\) |
−0.245984 | + | 0.969274i | \(0.579111\pi\) | |||||||
\(920\) | −8.65856 | + | 14.9971i | −0.285464 | + | 0.494439i | ||||
\(921\) | 52.0799 | + | 30.0684i | 1.71609 | + | 0.990787i | ||||
\(922\) | −3.29298 | + | 5.70360i | −0.108448 | + | 0.187838i | ||||
\(923\) | 38.0714 | + | 15.7216i | 1.25313 | + | 0.517482i | ||||
\(924\) | −1.30873 | + | 0.174475i | −0.0430539 | + | 0.00573981i | ||||
\(925\) | 7.06892 | − | 4.08124i | 0.232425 | − | 0.134190i | ||||
\(926\) | −6.33861 | −0.208300 | ||||||||
\(927\) | 13.6353 | 0.447841 | ||||||||
\(928\) | −3.75897 | + | 2.17024i | −0.123394 | + | 0.0712418i | ||||
\(929\) | 11.0695 | − | 6.39095i | 0.363177 | − | 0.209680i | −0.307296 | − | 0.951614i | \(-0.599424\pi\) |
0.670474 | + | 0.741933i | \(0.266091\pi\) | |||||||
\(930\) | 43.9027 | + | 25.3473i | 1.43963 | + | 0.831169i | ||||
\(931\) | 6.38757 | + | 1.68917i | 0.209344 | + | 0.0553603i | ||||
\(932\) | −2.77085 | + | 4.79926i | −0.0907623 | + | 0.157205i | ||||
\(933\) | 0.308857 | 0.0101115 | ||||||||
\(934\) | −37.2988 | − | 21.5345i | −1.22045 | − | 0.704629i | ||||
\(935\) | 17.6532 | + | 30.5762i | 0.577320 | + | 0.999948i | ||||
\(936\) | −10.1305 | + | 7.79074i | −0.331124 | + | 0.254648i | ||||
\(937\) | 16.2533 | 0.530971 | 0.265486 | − | 0.964115i | \(-0.414468\pi\) | ||||
0.265486 | + | 0.964115i | \(0.414468\pi\) | |||||||
\(938\) | −17.8260 | + | 13.7247i | −0.582038 | + | 0.448128i | ||||
\(939\) | 10.7847 | + | 18.6797i | 0.351946 | + | 0.609588i | ||||
\(940\) | 0.303669 | + | 0.525971i | 0.00990460 | + | 0.0171553i | ||||
\(941\) | 39.1000 | − | 22.5744i | 1.27462 | − | 0.735905i | 0.298770 | − | 0.954325i | \(-0.403424\pi\) |
0.975855 | + | 0.218420i | \(0.0700904\pi\) | |||||||
\(942\) | − | 24.8265i | − | 0.808890i | ||||||
\(943\) | 5.98997 | − | 3.45831i | 0.195060 | − | 0.112618i | ||||
\(944\) | − | 40.0752i | − | 1.30434i | ||||||
\(945\) | 21.2158 | + | 27.5556i | 0.690151 | + | 0.896383i | ||||
\(946\) | 3.29455 | + | 5.70633i | 0.107115 | + | 0.185529i | ||||
\(947\) | − | 19.8557i | − | 0.645225i | −0.946531 | − | 0.322612i | \(-0.895439\pi\) | ||
0.946531 | − | 0.322612i | \(-0.104561\pi\) | |||||||
\(948\) | 0.557172 | + | 0.965050i | 0.0180961 | + | 0.0313434i | ||||
\(949\) | 2.17361 | − | 1.67160i | 0.0705583 | − | 0.0542623i | ||||
\(950\) | 4.90689 | − | 8.49898i | 0.159200 | − | 0.275743i | ||||
\(951\) | −2.67516 | + | 1.54451i | −0.0867482 | + | 0.0500841i | ||||
\(952\) | 22.9973 | − | 55.7784i | 0.745348 | − | 1.80779i | ||||
\(953\) | 7.86433 | − | 13.6214i | 0.254751 | − | 0.441241i | −0.710077 | − | 0.704124i | \(-0.751340\pi\) |
0.964828 | + | 0.262883i | \(0.0846733\pi\) | |||||||
\(954\) | −0.112102 | − | 0.0647220i | −0.00362943 | − | 0.00209545i | ||||
\(955\) | − | 16.9335i | − | 0.547954i | ||||||
\(956\) | − | 1.64745i | − | 0.0532823i | ||||||
\(957\) | −9.18262 | − | 5.30159i | −0.296832 | − | 0.171376i | ||||
\(958\) | 12.1235 | − | 20.9985i | 0.391693 | − | 0.678432i | ||||
\(959\) | −17.7804 | + | 43.1251i | −0.574160 | + | 1.39258i | ||||
\(960\) | 54.5365 | − | 31.4867i | 1.76016 | − | 1.01623i | ||||
\(961\) | −2.22744 | + | 3.85804i | −0.0718529 | + | 0.124453i | ||||
\(962\) | −5.07775 | + | 0.674070i | −0.163713 | + | 0.0217329i | ||||
\(963\) | 3.95285 | + | 6.84653i | 0.127379 | + | 0.220626i | ||||
\(964\) | 3.46432i | 0.111578i | ||||||||
\(965\) | 37.5315 | + | 65.0064i | 1.20818 | + | 2.09263i | ||||
\(966\) | 7.33259 | + | 9.52373i | 0.235922 | + | 0.306421i | ||||
\(967\) | 52.1912i | 1.67835i | 0.543858 | + | 0.839177i | \(0.316963\pi\) | ||||
−0.543858 | + | 0.839177i | \(0.683037\pi\) | |||||||
\(968\) | −23.8974 | + | 13.7972i | −0.768091 | + | 0.443458i | ||||
\(969\) | − | 14.9757i | − | 0.481089i | ||||||
\(970\) | −1.98910 | + | 1.14841i | −0.0638663 | + | 0.0368732i | ||||
\(971\) | 11.2292 | + | 19.4495i | 0.360362 | + | 0.624165i | 0.988020 | − | 0.154324i | \(-0.0493198\pi\) |
−0.627658 | + | 0.778489i | \(0.715987\pi\) | |||||||
\(972\) | 1.12603 | + | 1.95035i | 0.0361175 | + | 0.0625574i | ||||
\(973\) | −12.2787 | + | 9.45372i | −0.393637 | + | 0.303072i | ||||
\(974\) | −23.6765 | −0.758645 | ||||||||
\(975\) | −56.6342 | + | 7.51819i | −1.81375 | + | 0.240775i | ||||
\(976\) | −13.6584 | − | 23.6570i | −0.437193 | − | 0.757241i | ||||
\(977\) | −35.5369 | − | 20.5172i | −1.13693 | − | 0.656405i | −0.191259 | − | 0.981540i | \(-0.561257\pi\) |
−0.945668 | + | 0.325135i | \(0.894590\pi\) | |||||||
\(978\) | 33.1835 | 1.06109 | ||||||||
\(979\) | −4.84378 | + | 8.38967i | −0.154808 | + | 0.268135i | ||||
\(980\) | 1.24552 | + | 4.58825i | 0.0397866 | + | 0.146566i | ||||
\(981\) | 6.08300 | + | 3.51202i | 0.194215 | + | 0.112130i | ||||
\(982\) | 4.50110 | − | 2.59871i | 0.143636 | − | 0.0829282i | ||||
\(983\) | −23.2379 | + | 13.4164i | −0.741173 | + | 0.427916i | −0.822496 | − | 0.568772i | \(-0.807419\pi\) |
0.0813229 | + | 0.996688i | \(0.474085\pi\) | |||||||
\(984\) | −25.3639 | −0.808571 | ||||||||
\(985\) | 20.7362 | 0.660711 | ||||||||
\(986\) | 36.4689 | − | 21.0553i | 1.16141 | − | 0.670539i | ||||
\(987\) | 4.80775 | − | 0.640954i | 0.153032 | − | 0.0204018i | ||||
\(988\) | 0.513552 | − | 0.394943i | 0.0163383 | − | 0.0125648i | ||||
\(989\) | −3.15506 | + | 5.46473i | −0.100325 | + | 0.173768i | ||||
\(990\) | 6.39324 | + | 3.69114i | 0.203191 | + | 0.117312i | ||||
\(991\) | −5.18755 | + | 8.98510i | −0.164788 | + | 0.285421i | −0.936580 | − | 0.350454i | \(-0.886027\pi\) |
0.771792 | + | 0.635875i | \(0.219361\pi\) | |||||||
\(992\) | −2.76439 | − | 4.78807i | −0.0877696 | − | 0.152021i | ||||
\(993\) | − | 51.7669i | − | 1.64277i | ||||||
\(994\) | −32.2168 | + | 24.8047i | −1.02186 | + | 0.786756i | ||||
\(995\) | −32.8079 | − | 18.9417i | −1.04008 | − | 0.600491i | ||||
\(996\) | −0.785755 | − | 0.453656i | −0.0248976 | − | 0.0143746i | ||||
\(997\) | −53.9097 | −1.70734 | −0.853669 | − | 0.520816i | \(-0.825628\pi\) | ||||
−0.853669 | + | 0.520816i | \(0.825628\pi\) | |||||||
\(998\) | −8.50671 | + | 14.7341i | −0.269275 | + | 0.466398i | ||||
\(999\) | 3.89081i | 0.123100i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 91.2.k.b.23.2 | yes | 12 | |
3.2 | odd | 2 | 819.2.bm.f.478.5 | 12 | |||
7.2 | even | 3 | 637.2.q.g.491.2 | 12 | |||
7.3 | odd | 6 | 637.2.u.g.361.5 | 12 | |||
7.4 | even | 3 | 91.2.u.b.88.5 | yes | 12 | ||
7.5 | odd | 6 | 637.2.q.i.491.2 | 12 | |||
7.6 | odd | 2 | 637.2.k.i.569.2 | 12 | |||
13.2 | odd | 12 | 1183.2.e.j.170.9 | 24 | |||
13.4 | even | 6 | 91.2.u.b.30.5 | yes | 12 | ||
13.11 | odd | 12 | 1183.2.e.j.170.4 | 24 | |||
21.11 | odd | 6 | 819.2.do.e.361.2 | 12 | |||
39.17 | odd | 6 | 819.2.do.e.667.2 | 12 | |||
91.2 | odd | 12 | 8281.2.a.cp.1.4 | 12 | |||
91.4 | even | 6 | inner | 91.2.k.b.4.5 | ✓ | 12 | |
91.11 | odd | 12 | 1183.2.e.j.508.4 | 24 | |||
91.17 | odd | 6 | 637.2.k.i.459.5 | 12 | |||
91.30 | even | 6 | 637.2.q.g.589.2 | 12 | |||
91.37 | odd | 12 | 8281.2.a.cp.1.9 | 12 | |||
91.54 | even | 12 | 8281.2.a.co.1.4 | 12 | |||
91.67 | odd | 12 | 1183.2.e.j.508.9 | 24 | |||
91.69 | odd | 6 | 637.2.u.g.30.5 | 12 | |||
91.82 | odd | 6 | 637.2.q.i.589.2 | 12 | |||
91.89 | even | 12 | 8281.2.a.co.1.9 | 12 | |||
273.95 | odd | 6 | 819.2.bm.f.550.2 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.k.b.4.5 | ✓ | 12 | 91.4 | even | 6 | inner | |
91.2.k.b.23.2 | yes | 12 | 1.1 | even | 1 | trivial | |
91.2.u.b.30.5 | yes | 12 | 13.4 | even | 6 | ||
91.2.u.b.88.5 | yes | 12 | 7.4 | even | 3 | ||
637.2.k.i.459.5 | 12 | 91.17 | odd | 6 | |||
637.2.k.i.569.2 | 12 | 7.6 | odd | 2 | |||
637.2.q.g.491.2 | 12 | 7.2 | even | 3 | |||
637.2.q.g.589.2 | 12 | 91.30 | even | 6 | |||
637.2.q.i.491.2 | 12 | 7.5 | odd | 6 | |||
637.2.q.i.589.2 | 12 | 91.82 | odd | 6 | |||
637.2.u.g.30.5 | 12 | 91.69 | odd | 6 | |||
637.2.u.g.361.5 | 12 | 7.3 | odd | 6 | |||
819.2.bm.f.478.5 | 12 | 3.2 | odd | 2 | |||
819.2.bm.f.550.2 | 12 | 273.95 | odd | 6 | |||
819.2.do.e.361.2 | 12 | 21.11 | odd | 6 | |||
819.2.do.e.667.2 | 12 | 39.17 | odd | 6 | |||
1183.2.e.j.170.4 | 24 | 13.11 | odd | 12 | |||
1183.2.e.j.170.9 | 24 | 13.2 | odd | 12 | |||
1183.2.e.j.508.4 | 24 | 91.11 | odd | 12 | |||
1183.2.e.j.508.9 | 24 | 91.67 | odd | 12 | |||
8281.2.a.co.1.4 | 12 | 91.54 | even | 12 | |||
8281.2.a.co.1.9 | 12 | 91.89 | even | 12 | |||
8281.2.a.cp.1.4 | 12 | 91.2 | odd | 12 | |||
8281.2.a.cp.1.9 | 12 | 91.37 | odd | 12 |