Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [588,2,Mod(103,588)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(588, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 0, 29]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("588.103");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 588.ba (of order \(42\), degree \(12\), 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: | \(4.69520363885\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 283.5 | ||
Character | \(\chi\) | \(=\) | 588.283 |
Dual form | 588.2.ba.b.187.5 |
$q$-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 \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(493\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{19}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.25978 | − | 0.642609i | −0.890801 | − | 0.454393i | ||||
\(3\) | −0.988831 | + | 0.149042i | −0.570902 | + | 0.0860496i | ||||
\(4\) | 1.17411 | + | 1.61910i | 0.587054 | + | 0.809548i | ||||
\(5\) | 2.80567 | + | 1.10114i | 1.25473 | + | 0.492446i | 0.897271 | − | 0.441481i | \(-0.145547\pi\) |
0.357462 | + | 0.933928i | \(0.383642\pi\) | |||||||
\(6\) | 1.34149 | + | 0.447671i | 0.547660 | + | 0.182761i | ||||
\(7\) | 1.52632 | + | 2.16110i | 0.576896 | + | 0.816817i | ||||
\(8\) | −0.438676 | − | 2.79420i | −0.155095 | − | 0.987900i | ||||
\(9\) | 0.955573 | − | 0.294755i | 0.318524 | − | 0.0982517i | ||||
\(10\) | −2.82693 | − | 3.19015i | −0.893954 | − | 1.00881i | ||||
\(11\) | 1.71367 | − | 5.55558i | 0.516691 | − | 1.67507i | −0.201713 | − | 0.979445i | \(-0.564651\pi\) |
0.718404 | − | 0.695626i | \(-0.244873\pi\) | |||||||
\(12\) | −1.40231 | − | 1.42602i | −0.404811 | − | 0.411657i | ||||
\(13\) | 0.363826 | − | 0.0830410i | 0.100907 | − | 0.0230314i | −0.171769 | − | 0.985137i | \(-0.554948\pi\) |
0.272676 | + | 0.962106i | \(0.412091\pi\) | |||||||
\(14\) | −0.534098 | − | 3.70334i | −0.142744 | − | 0.989760i | ||||
\(15\) | −2.93845 | − | 0.670682i | −0.758704 | − | 0.173169i | ||||
\(16\) | −1.24294 | + | 3.80199i | −0.310736 | + | 0.950496i | ||||
\(17\) | 3.94001 | + | 5.77893i | 0.955592 | + | 1.40160i | 0.915463 | + | 0.402402i | \(0.131825\pi\) |
0.0401294 | + | 0.999194i | \(0.487223\pi\) | |||||||
\(18\) | −1.39323 | − | 0.242732i | −0.328387 | − | 0.0572125i | ||||
\(19\) | −1.74600 | − | 3.02417i | −0.400561 | − | 0.693791i | 0.593233 | − | 0.805031i | \(-0.297851\pi\) |
−0.993794 | + | 0.111239i | \(0.964518\pi\) | |||||||
\(20\) | 1.51130 | + | 5.83551i | 0.337937 | + | 1.30486i | ||||
\(21\) | −1.83137 | − | 1.90947i | −0.399638 | − | 0.416681i | ||||
\(22\) | −5.72892 | + | 5.89761i | −1.22141 | + | 1.25737i | ||||
\(23\) | −0.103798 | + | 0.152244i | −0.0216434 | + | 0.0317451i | −0.836908 | − | 0.547344i | \(-0.815639\pi\) |
0.815265 | + | 0.579089i | \(0.196591\pi\) | |||||||
\(24\) | 0.850230 | + | 2.69761i | 0.173553 | + | 0.550648i | ||||
\(25\) | 2.99400 | + | 2.77802i | 0.598800 | + | 0.555605i | ||||
\(26\) | −0.511705 | − | 0.129184i | −0.100354 | − | 0.0253351i | ||||
\(27\) | −0.900969 | + | 0.433884i | −0.173392 | + | 0.0835010i | ||||
\(28\) | −1.70695 | + | 5.00862i | −0.322584 | + | 0.946541i | ||||
\(29\) | −0.320214 | − | 0.154207i | −0.0594623 | − | 0.0286355i | 0.403916 | − | 0.914796i | \(-0.367649\pi\) |
−0.463379 | + | 0.886160i | \(0.653363\pi\) | |||||||
\(30\) | 3.27082 | + | 2.73319i | 0.597168 | + | 0.499009i | ||||
\(31\) | −4.31962 | + | 7.48180i | −0.775827 | + | 1.34377i | 0.158502 | + | 0.987359i | \(0.449334\pi\) |
−0.934329 | + | 0.356413i | \(0.884000\pi\) | |||||||
\(32\) | 4.00903 | − | 3.99095i | 0.708703 | − | 0.705507i | ||||
\(33\) | −0.866513 | + | 5.74894i | −0.150841 | + | 1.00076i | ||||
\(34\) | −1.24996 | − | 9.81209i | −0.214367 | − | 1.68276i | ||||
\(35\) | 1.90268 | + | 7.74402i | 0.321612 | + | 1.30898i | ||||
\(36\) | 1.59918 | + | 1.20109i | 0.266530 | + | 0.200182i | ||||
\(37\) | −0.593000 | − | 7.91303i | −0.0974885 | − | 1.30089i | −0.804611 | − | 0.593803i | \(-0.797626\pi\) |
0.707122 | − | 0.707091i | \(-0.249993\pi\) | |||||||
\(38\) | 0.256230 | + | 4.93179i | 0.0415659 | + | 0.800042i | ||||
\(39\) | −0.347386 | + | 0.136339i | −0.0556263 | + | 0.0218317i | ||||
\(40\) | 1.84604 | − | 8.32265i | 0.291884 | − | 1.31593i | ||||
\(41\) | 5.81173 | − | 4.63470i | 0.907640 | − | 0.723819i | −0.0538814 | − | 0.998547i | \(-0.517159\pi\) |
0.961522 | + | 0.274728i | \(0.0885879\pi\) | |||||||
\(42\) | 1.08009 | + | 3.58238i | 0.166661 | + | 0.552772i | ||||
\(43\) | 4.58736 | + | 3.65830i | 0.699566 | + | 0.557885i | 0.907394 | − | 0.420280i | \(-0.138068\pi\) |
−0.207829 | + | 0.978165i | \(0.566640\pi\) | |||||||
\(44\) | 11.0070 | − | 3.74825i | 1.65938 | − | 0.565071i | ||||
\(45\) | 3.00559 | + | 0.225238i | 0.448047 | + | 0.0335765i | ||||
\(46\) | 0.228597 | − | 0.125093i | 0.0337047 | − | 0.0184439i | ||||
\(47\) | 5.05565 | − | 4.69095i | 0.737442 | − | 0.684246i | −0.219145 | − | 0.975692i | \(-0.570327\pi\) |
0.956587 | + | 0.291446i | \(0.0941364\pi\) | |||||||
\(48\) | 0.662403 | − | 3.94477i | 0.0956097 | − | 0.569379i | ||||
\(49\) | −2.34067 | + | 6.59706i | −0.334381 | + | 0.942438i | ||||
\(50\) | −1.98661 | − | 5.42368i | −0.280948 | − | 0.767024i | ||||
\(51\) | −4.75731 | − | 5.12716i | −0.666156 | − | 0.717946i | ||||
\(52\) | 0.561622 | + | 0.491570i | 0.0778830 | + | 0.0681686i | ||||
\(53\) | 0.161590 | − | 2.15627i | 0.0221961 | − | 0.296186i | −0.975048 | − | 0.221994i | \(-0.928743\pi\) |
0.997244 | − | 0.0741915i | \(-0.0236376\pi\) | |||||||
\(54\) | 1.41384 | + | 0.0323711i | 0.192400 | + | 0.00440515i | ||||
\(55\) | 10.9255 | − | 13.7001i | 1.47319 | − | 1.84732i | ||||
\(56\) | 5.36898 | − | 5.21288i | 0.717460 | − | 0.696600i | ||||
\(57\) | 2.17723 | + | 2.73016i | 0.288381 | + | 0.361619i | ||||
\(58\) | 0.304306 | + | 0.400040i | 0.0399573 | + | 0.0525278i | ||||
\(59\) | 3.14449 | + | 8.01204i | 0.409378 | + | 1.04308i | 0.975742 | + | 0.218923i | \(0.0702544\pi\) |
−0.566364 | + | 0.824155i | \(0.691650\pi\) | |||||||
\(60\) | −2.36416 | − | 5.54508i | −0.305211 | − | 0.715867i | ||||
\(61\) | −1.57359 | + | 0.117924i | −0.201477 | + | 0.0150986i | −0.175086 | − | 0.984553i | \(-0.556020\pi\) |
−0.0263908 | + | 0.999652i | \(0.508401\pi\) | |||||||
\(62\) | 10.2497 | − | 6.64962i | 1.30171 | − | 0.844503i | ||||
\(63\) | 2.09551 | + | 1.61519i | 0.264009 | + | 0.203495i | ||||
\(64\) | −7.61513 | + | 2.45150i | −0.951891 | + | 0.306437i | ||||
\(65\) | 1.11222 | + | 0.167640i | 0.137953 | + | 0.0207931i | ||||
\(66\) | 4.78594 | − | 6.68559i | 0.589108 | − | 0.822939i | ||||
\(67\) | 7.35040 | + | 4.24376i | 0.897995 | + | 0.518457i | 0.876549 | − | 0.481313i | \(-0.159840\pi\) |
0.0214456 | + | 0.999770i | \(0.493173\pi\) | |||||||
\(68\) | −4.73065 | + | 13.1643i | −0.573675 | + | 1.59641i | ||||
\(69\) | 0.0799481 | − | 0.166014i | 0.00962462 | − | 0.0199857i | ||||
\(70\) | 2.57941 | − | 10.9785i | 0.308298 | − | 1.31218i | ||||
\(71\) | 0.231302 | + | 0.480303i | 0.0274505 | + | 0.0570015i | 0.914243 | − | 0.405166i | \(-0.132786\pi\) |
−0.886793 | + | 0.462167i | \(0.847072\pi\) | |||||||
\(72\) | −1.24279 | − | 2.54076i | −0.146464 | − | 0.299432i | ||||
\(73\) | −3.07021 | + | 3.30890i | −0.359341 | + | 0.387278i | −0.886685 | − | 0.462374i | \(-0.846998\pi\) |
0.527344 | + | 0.849652i | \(0.323188\pi\) | |||||||
\(74\) | −4.33793 | + | 10.3498i | −0.504274 | + | 1.20314i | ||||
\(75\) | −3.37460 | − | 2.30076i | −0.389665 | − | 0.265669i | ||||
\(76\) | 2.84642 | − | 6.37764i | 0.326507 | − | 0.731566i | ||||
\(77\) | 14.6218 | − | 4.77621i | 1.66630 | − | 0.544300i | ||||
\(78\) | 0.525244 | + | 0.0514758i | 0.0594721 | + | 0.00582849i | ||||
\(79\) | −10.1632 | + | 5.86770i | −1.14344 | + | 0.660168i | −0.947281 | − | 0.320404i | \(-0.896181\pi\) |
−0.196163 | + | 0.980571i | \(0.562848\pi\) | |||||||
\(80\) | −7.67382 | + | 9.29845i | −0.857959 | + | 1.03960i | ||||
\(81\) | 0.826239 | − | 0.563320i | 0.0918043 | − | 0.0625911i | ||||
\(82\) | −10.2998 | + | 2.10405i | −1.13743 | + | 0.232353i | ||||
\(83\) | −2.46534 | + | 10.8014i | −0.270607 | + | 1.18561i | 0.638693 | + | 0.769462i | \(0.279476\pi\) |
−0.909299 | + | 0.416143i | \(0.863382\pi\) | |||||||
\(84\) | 0.941391 | − | 5.20709i | 0.102714 | − | 0.568140i | ||||
\(85\) | 4.69092 | + | 20.5523i | 0.508802 | + | 2.22921i | ||||
\(86\) | −3.42822 | − | 7.55654i | −0.369675 | − | 0.814842i | ||||
\(87\) | 0.339621 | + | 0.104759i | 0.0364112 | + | 0.0112314i | ||||
\(88\) | −16.2752 | − | 2.35124i | −1.73494 | − | 0.250643i | ||||
\(89\) | −3.52899 | − | 11.4407i | −0.374072 | − | 1.21271i | −0.925583 | − | 0.378545i | \(-0.876425\pi\) |
0.551510 | − | 0.834168i | \(-0.314052\pi\) | |||||||
\(90\) | −3.64165 | − | 2.21517i | −0.383864 | − | 0.233499i | ||||
\(91\) | 0.734776 | + | 0.659516i | 0.0770255 | + | 0.0691361i | ||||
\(92\) | −0.368368 | + | 0.0106916i | −0.0384050 | + | 0.00111468i | ||||
\(93\) | 3.15627 | − | 8.04204i | 0.327290 | − | 0.833921i | ||||
\(94\) | −9.38347 | + | 2.66078i | −0.967831 | + | 0.274439i | ||||
\(95\) | −1.56866 | − | 10.4074i | −0.160942 | − | 1.06778i | ||||
\(96\) | −3.36943 | + | 4.54389i | −0.343891 | + | 0.463759i | ||||
\(97\) | 11.7280i | 1.19080i | 0.803429 | + | 0.595401i | \(0.203007\pi\) | ||||
−0.803429 | + | 0.595401i | \(0.796993\pi\) | |||||||
\(98\) | 7.18807 | − | 6.80674i | 0.726105 | − | 0.687584i | ||||
\(99\) | − | 5.81387i | − | 0.584316i | ||||||
\(100\) | −0.982612 | + | 8.10927i | −0.0982612 | + | 0.810927i | ||||
\(101\) | −1.42021 | − | 9.42248i | −0.141316 | − | 0.937572i | −0.941305 | − | 0.337557i | \(-0.890399\pi\) |
0.799989 | − | 0.600015i | \(-0.204839\pi\) | |||||||
\(102\) | 2.69842 | + | 9.51619i | 0.267183 | + | 0.942244i | ||||
\(103\) | 3.50806 | − | 8.93839i | 0.345659 | − | 0.880726i | −0.647296 | − | 0.762239i | \(-0.724100\pi\) |
0.992956 | − | 0.118487i | \(-0.0378045\pi\) | |||||||
\(104\) | −0.391635 | − | 0.980176i | −0.0384030 | − | 0.0961141i | ||||
\(105\) | −3.03562 | − | 7.37395i | −0.296246 | − | 0.719623i | ||||
\(106\) | −1.58920 | + | 2.61259i | −0.154357 | + | 0.253757i | ||||
\(107\) | −0.354707 | − | 1.14993i | −0.0342908 | − | 0.111168i | 0.936809 | − | 0.349840i | \(-0.113764\pi\) |
−0.971100 | + | 0.238672i | \(0.923288\pi\) | |||||||
\(108\) | −1.76033 | − | 0.949329i | −0.169388 | − | 0.0913492i | ||||
\(109\) | 5.08269 | + | 1.56780i | 0.486834 | + | 0.150168i | 0.528448 | − | 0.848965i | \(-0.322774\pi\) |
−0.0416147 | + | 0.999134i | \(0.513250\pi\) | |||||||
\(110\) | −22.5676 | + | 10.2384i | −2.15173 | + | 0.976190i | ||||
\(111\) | 1.76575 | + | 7.73627i | 0.167598 | + | 0.734294i | ||||
\(112\) | −10.1136 | + | 3.11694i | −0.955644 | + | 0.294523i | ||||
\(113\) | 1.57815 | − | 6.91431i | 0.148460 | − | 0.650444i | −0.844854 | − | 0.534997i | \(-0.820313\pi\) |
0.993314 | − | 0.115447i | \(-0.0368301\pi\) | |||||||
\(114\) | −0.988413 | − | 4.83852i | −0.0925734 | − | 0.453169i | ||||
\(115\) | −0.458866 | + | 0.312849i | −0.0427895 | + | 0.0291734i | ||||
\(116\) | −0.126290 | − | 0.699513i | −0.0117257 | − | 0.0649481i | ||||
\(117\) | 0.323186 | − | 0.186591i | 0.0298785 | − | 0.0172504i | ||||
\(118\) | 1.18723 | − | 12.1141i | 0.109293 | − | 1.11519i | ||||
\(119\) | −6.47509 | + | 17.3353i | −0.593571 | + | 1.58912i | ||||
\(120\) | −0.584994 | + | 8.50483i | −0.0534024 | + | 0.776381i | ||||
\(121\) | −18.8392 | − | 12.8443i | −1.71265 | − | 1.16767i | ||||
\(122\) | 2.05816 | + | 0.862643i | 0.186337 | + | 0.0781000i | ||||
\(123\) | −5.05606 | + | 5.44913i | −0.455889 | + | 0.491332i | ||||
\(124\) | −17.1855 | + | 1.79056i | −1.54330 | + | 0.160797i | ||||
\(125\) | −1.19750 | − | 2.48664i | −0.107108 | − | 0.222411i | ||||
\(126\) | −1.60195 | − | 3.38138i | −0.142713 | − | 0.301238i | ||||
\(127\) | 2.72901 | − | 5.66685i | 0.242160 | − | 0.502851i | −0.744096 | − | 0.668073i | \(-0.767120\pi\) |
0.986257 | + | 0.165221i | \(0.0528338\pi\) | |||||||
\(128\) | 11.1688 | + | 1.80519i | 0.987189 | + | 0.159558i | ||||
\(129\) | −5.08136 | − | 2.93373i | −0.447389 | − | 0.258300i | ||||
\(130\) | −1.29342 | − | 0.925909i | −0.113441 | − | 0.0812076i | ||||
\(131\) | −10.4689 | − | 1.57793i | −0.914672 | − | 0.137865i | −0.325192 | − | 0.945648i | \(-0.605429\pi\) |
−0.589480 | + | 0.807783i | \(0.700667\pi\) | |||||||
\(132\) | −10.3255 | + | 5.34690i | −0.898716 | + | 0.465388i | ||||
\(133\) | 3.87055 | − | 8.38914i | 0.335619 | − | 0.727431i | ||||
\(134\) | −6.53284 | − | 10.0696i | −0.564351 | − | 0.869885i | ||||
\(135\) | −3.00559 | + | 0.225238i | −0.258680 | + | 0.0193854i | ||||
\(136\) | 14.4191 | − | 13.5443i | 1.23643 | − | 1.16141i | ||||
\(137\) | 7.44129 | + | 18.9601i | 0.635753 | + | 1.61987i | 0.776712 | + | 0.629856i | \(0.216886\pi\) |
−0.140959 | + | 0.990015i | \(0.545019\pi\) | |||||||
\(138\) | −0.207399 | + | 0.157766i | −0.0176550 | + | 0.0134299i | ||||
\(139\) | 12.6693 | + | 15.8869i | 1.07460 | + | 1.34751i | 0.933933 | + | 0.357448i | \(0.116353\pi\) |
0.140667 | + | 0.990057i | \(0.455075\pi\) | |||||||
\(140\) | −10.3044 | + | 12.1729i | −0.870877 | + | 1.02880i | ||||
\(141\) | −4.30003 | + | 5.39207i | −0.362128 | + | 0.454094i | ||||
\(142\) | 0.0172569 | − | 0.753714i | 0.00144817 | − | 0.0632503i | ||||
\(143\) | 0.162137 | − | 2.16357i | 0.0135586 | − | 0.180927i | ||||
\(144\) | −0.0670672 | + | 3.99944i | −0.00558893 | + | 0.333286i | ||||
\(145\) | −0.728610 | − | 0.785255i | −0.0605078 | − | 0.0652119i | ||||
\(146\) | 5.99413 | − | 2.19555i | 0.496078 | − | 0.181705i | ||||
\(147\) | 1.33129 | − | 6.87224i | 0.109803 | − | 0.566813i | ||||
\(148\) | 12.1157 | − | 10.2509i | 0.995905 | − | 0.842616i | ||||
\(149\) | −8.51380 | + | 7.89965i | −0.697477 | + | 0.647164i | −0.947011 | − | 0.321202i | \(-0.895913\pi\) |
0.249533 | + | 0.968366i | \(0.419723\pi\) | |||||||
\(150\) | 2.77277 | + | 5.06701i | 0.226396 | + | 0.413720i | ||||
\(151\) | −13.5447 | − | 1.01503i | −1.10225 | − | 0.0826021i | −0.488844 | − | 0.872371i | \(-0.662581\pi\) |
−0.613404 | + | 0.789769i | \(0.710200\pi\) | |||||||
\(152\) | −7.68420 | + | 6.20531i | −0.623271 | + | 0.503318i | ||||
\(153\) | 5.46833 | + | 4.36085i | 0.442089 | + | 0.352554i | ||||
\(154\) | −21.4895 | − | 3.37908i | −1.73167 | − | 0.272294i | ||||
\(155\) | −20.3580 | + | 16.2349i | −1.63519 | + | 1.30402i | ||||
\(156\) | −0.628614 | − | 0.402375i | −0.0503294 | − | 0.0322157i | ||||
\(157\) | 9.34604 | − | 3.66805i | 0.745896 | − | 0.292742i | 0.0382098 | − | 0.999270i | \(-0.487834\pi\) |
0.707686 | + | 0.706527i | \(0.249739\pi\) | |||||||
\(158\) | 16.5740 | − | 0.861096i | 1.31856 | − | 0.0685052i | ||||
\(159\) | 0.161590 | + | 2.15627i | 0.0128149 | + | 0.171003i | ||||
\(160\) | 15.6426 | − | 6.78277i | 1.23666 | − | 0.536225i | ||||
\(161\) | −0.487444 | + | 0.00805580i | −0.0384159 | + | 0.000634886i | ||||
\(162\) | −1.40288 | + | 0.178713i | −0.110220 | + | 0.0140410i | ||||
\(163\) | 0.847575 | − | 5.62329i | 0.0663872 | − | 0.440450i | −0.930802 | − | 0.365524i | \(-0.880890\pi\) |
0.997189 | − | 0.0749261i | \(-0.0238721\pi\) | |||||||
\(164\) | 14.3276 | + | 3.96811i | 1.11880 | + | 0.309858i | ||||
\(165\) | −8.76156 | + | 15.1755i | −0.682086 | + | 1.18141i | ||||
\(166\) | 10.0469 | − | 12.0231i | 0.779787 | − | 0.933177i | ||||
\(167\) | −13.4490 | − | 6.47670i | −1.04071 | − | 0.501182i | −0.166155 | − | 0.986100i | \(-0.553135\pi\) |
−0.874560 | + | 0.484918i | \(0.838850\pi\) | |||||||
\(168\) | −4.53207 | + | 5.95486i | −0.349657 | + | 0.459427i | ||||
\(169\) | −11.5871 | + | 5.58006i | −0.891317 | + | 0.429236i | ||||
\(170\) | 7.29753 | − | 28.9058i | 0.559695 | − | 2.21698i | ||||
\(171\) | −2.55982 | − | 2.37517i | −0.195755 | − | 0.181634i | ||||
\(172\) | −0.537080 | + | 11.7226i | −0.0409519 | + | 0.893840i | ||||
\(173\) | −1.61037 | + | 2.36198i | −0.122434 | + | 0.179578i | −0.882563 | − | 0.470195i | \(-0.844184\pi\) |
0.760129 | + | 0.649773i | \(0.225136\pi\) | |||||||
\(174\) | −0.360530 | − | 0.350217i | −0.0273317 | − | 0.0265499i | ||||
\(175\) | −1.43377 | + | 10.7105i | −0.108383 | + | 0.809636i | ||||
\(176\) | 18.9922 | + | 13.4206i | 1.43159 | + | 1.01162i | ||||
\(177\) | −4.30350 | − | 7.45388i | −0.323471 | − | 0.560268i | ||||
\(178\) | −2.90614 | + | 16.6806i | −0.217824 | + | 1.25026i | ||||
\(179\) | −7.76352 | − | 11.3870i | −0.580273 | − | 0.851104i | 0.418084 | − | 0.908408i | \(-0.362702\pi\) |
−0.998357 | + | 0.0573046i | \(0.981749\pi\) | |||||||
\(180\) | 3.16420 | + | 5.13079i | 0.235846 | + | 0.382426i | ||||
\(181\) | −1.78007 | − | 0.406288i | −0.132311 | − | 0.0301992i | 0.155852 | − | 0.987780i | \(-0.450188\pi\) |
−0.288164 | + | 0.957581i | \(0.593045\pi\) | |||||||
\(182\) | −0.501848 | − | 1.30302i | −0.0371994 | − | 0.0965863i | ||||
\(183\) | 1.53844 | − | 0.351138i | 0.113724 | − | 0.0259569i | ||||
\(184\) | 0.470934 | + | 0.223247i | 0.0347177 | + | 0.0164580i | ||||
\(185\) | 7.04962 | − | 22.8543i | 0.518299 | − | 1.68028i | ||||
\(186\) | −9.14410 | + | 8.10298i | −0.670478 | + | 0.594140i | ||||
\(187\) | 38.8572 | − | 11.9859i | 2.84152 | − | 0.876493i | ||||
\(188\) | 13.5310 | + | 2.67789i | 0.986848 | + | 0.195305i | ||||
\(189\) | −2.31283 | − | 1.28483i | −0.168234 | − | 0.0934578i | ||||
\(190\) | −4.71172 | + | 14.1191i | −0.341824 | + | 1.02431i | ||||
\(191\) | −15.1266 | − | 5.93674i | −1.09452 | − | 0.429567i | −0.251723 | − | 0.967799i | \(-0.580997\pi\) |
−0.842797 | + | 0.538232i | \(0.819092\pi\) | |||||||
\(192\) | 7.16470 | − | 3.55909i | 0.517067 | − | 0.256855i | ||||
\(193\) | 11.7874 | − | 1.77666i | 0.848475 | − | 0.127887i | 0.289609 | − | 0.957145i | \(-0.406475\pi\) |
0.558866 | + | 0.829258i | \(0.311237\pi\) | |||||||
\(194\) | 7.53654 | − | 14.7748i | 0.541092 | − | 1.06077i | ||||
\(195\) | −1.12478 | −0.0805471 | ||||||||
\(196\) | −13.4295 | + | 3.95589i | −0.959248 | + | 0.282564i | ||||
\(197\) | −20.1629 | −1.43655 | −0.718275 | − | 0.695759i | \(-0.755068\pi\) | ||||
−0.718275 | + | 0.695759i | \(0.755068\pi\) | |||||||
\(198\) | −3.73605 | + | 7.32422i | −0.265509 | + | 0.520510i | ||||
\(199\) | 6.01407 | − | 0.906476i | 0.426326 | − | 0.0642584i | 0.0676251 | − | 0.997711i | \(-0.478458\pi\) |
0.358701 | + | 0.933452i | \(0.383220\pi\) | |||||||
\(200\) | 6.44897 | − | 9.58449i | 0.456011 | − | 0.677726i | ||||
\(201\) | −7.90080 | − | 3.10084i | −0.557280 | − | 0.218716i | ||||
\(202\) | −4.26581 | + | 12.7829i | −0.300142 | + | 0.899404i | ||||
\(203\) | −0.155494 | − | 0.927383i | −0.0109136 | − | 0.0650895i | ||||
\(204\) | 2.71577 | − | 13.7224i | 0.190142 | − | 0.960758i | ||||
\(205\) | 21.4093 | − | 6.60389i | 1.49529 | − | 0.461235i | ||||
\(206\) | −10.1633 | + | 9.00613i | −0.708110 | + | 0.627487i | ||||
\(207\) | −0.0543120 | + | 0.176075i | −0.00377495 | + | 0.0122381i | ||||
\(208\) | −0.136495 | + | 1.48648i | −0.00946419 | + | 0.103069i | ||||
\(209\) | −19.7931 | + | 4.51764i | −1.36912 | + | 0.312492i | ||||
\(210\) | −0.914344 | + | 11.2403i | −0.0630957 | + | 0.775654i | ||||
\(211\) | −25.7015 | − | 5.86621i | −1.76937 | − | 0.403847i | −0.791182 | − | 0.611581i | \(-0.790534\pi\) |
−0.978185 | + | 0.207734i | \(0.933391\pi\) | |||||||
\(212\) | 3.68092 | − | 2.27006i | 0.252807 | − | 0.155908i | ||||
\(213\) | −0.300304 | − | 0.440464i | −0.0205765 | − | 0.0301801i | ||||
\(214\) | −0.292103 | + | 1.67660i | −0.0199677 | + | 0.114610i | ||||
\(215\) | 8.84230 | + | 15.3153i | 0.603040 | + | 1.04450i | ||||
\(216\) | 1.60759 | + | 2.32715i | 0.109383 | + | 0.158343i | ||||
\(217\) | −22.7620 | + | 2.08454i | −1.54519 | + | 0.141508i | ||||
\(218\) | −5.39561 | − | 5.24128i | −0.365437 | − | 0.354984i | ||||
\(219\) | 2.54275 | − | 3.72954i | 0.171823 | − | 0.252019i | ||||
\(220\) | 35.0095 | + | 1.60399i | 2.36034 | + | 0.108141i | ||||
\(221\) | 1.91337 | + | 1.77534i | 0.128707 | + | 0.119423i | ||||
\(222\) | 2.74693 | − | 10.8807i | 0.184362 | − | 0.730265i | ||||
\(223\) | 10.4498 | − | 5.03237i | 0.699771 | − | 0.336992i | −0.0499445 | − | 0.998752i | \(-0.515904\pi\) |
0.749716 | + | 0.661760i | \(0.230190\pi\) | |||||||
\(224\) | 14.7439 | + | 2.57241i | 0.985119 | + | 0.171876i | ||||
\(225\) | 3.67982 | + | 1.77211i | 0.245321 | + | 0.118141i | ||||
\(226\) | −6.43132 | + | 7.69640i | −0.427805 | + | 0.511957i | ||||
\(227\) | 6.29227 | − | 10.8985i | 0.417633 | − | 0.723361i | −0.578068 | − | 0.815989i | \(-0.696193\pi\) |
0.995701 | + | 0.0926273i | \(0.0295265\pi\) | |||||||
\(228\) | −1.86409 | + | 6.73065i | −0.123452 | + | 0.445748i | ||||
\(229\) | 2.99787 | − | 19.8896i | 0.198105 | − | 1.31434i | −0.639808 | − | 0.768535i | \(-0.720986\pi\) |
0.837912 | − | 0.545805i | \(-0.183776\pi\) | |||||||
\(230\) | 0.779111 | − | 0.0992512i | 0.0513731 | − | 0.00654443i | ||||
\(231\) | −13.7466 | + | 6.90212i | −0.904459 | + | 0.454126i | ||||
\(232\) | −0.290415 | + | 0.962390i | −0.0190667 | + | 0.0631840i | ||||
\(233\) | 0.116288 | + | 1.55175i | 0.00761826 | + | 0.101659i | 0.999717 | − | 0.0238037i | \(-0.00757766\pi\) |
−0.992098 | + | 0.125462i | \(0.959959\pi\) | |||||||
\(234\) | −0.527049 | + | 0.0273826i | −0.0344543 | + | 0.00179006i | ||||
\(235\) | 19.3499 | − | 7.59427i | 1.26225 | − | 0.495396i | ||||
\(236\) | −9.28028 | + | 14.4982i | −0.604095 | + | 0.943754i | ||||
\(237\) | 9.17510 | − | 7.31690i | 0.595987 | − | 0.475284i | ||||
\(238\) | 19.2970 | − | 17.6777i | 1.25084 | − | 1.14588i | ||||
\(239\) | 6.57797 | + | 5.24575i | 0.425493 | + | 0.339320i | 0.812709 | − | 0.582669i | \(-0.197992\pi\) |
−0.387216 | + | 0.921989i | \(0.626563\pi\) | |||||||
\(240\) | 6.20224 | − | 10.3383i | 0.400353 | − | 0.667336i | ||||
\(241\) | 7.78062 | + | 0.583077i | 0.501194 | + | 0.0375593i | 0.322929 | − | 0.946423i | \(-0.395333\pi\) |
0.178265 | + | 0.983983i | \(0.442952\pi\) | |||||||
\(242\) | 15.4794 | + | 28.2873i | 0.995054 | + | 1.81838i | ||||
\(243\) | −0.733052 | + | 0.680173i | −0.0470253 | + | 0.0436331i | ||||
\(244\) | −2.03849 | − | 2.40933i | −0.130501 | − | 0.154242i | ||||
\(245\) | −13.8315 | + | 15.9318i | −0.883660 | + | 1.01784i | ||||
\(246\) | 9.87119 | − | 3.61566i | 0.629364 | − | 0.230526i | ||||
\(247\) | −0.886372 | − | 0.955281i | −0.0563985 | − | 0.0607831i | ||||
\(248\) | 22.8006 | + | 8.78781i | 1.44784 | + | 0.558026i | ||||
\(249\) | 0.827946 | − | 11.0482i | 0.0524690 | − | 0.700150i | ||||
\(250\) | −0.0893430 | + | 3.90215i | −0.00565055 | + | 0.246793i | ||||
\(251\) | 17.4494 | − | 21.8808i | 1.10139 | − | 1.38111i | 0.184095 | − | 0.982908i | \(-0.441065\pi\) |
0.917300 | − | 0.398197i | \(-0.130364\pi\) | |||||||
\(252\) | −0.154800 | + | 5.28924i | −0.00975147 | + | 0.333191i | ||||
\(253\) | 0.667928 | + | 0.837555i | 0.0419923 | + | 0.0526566i | ||||
\(254\) | −7.07953 | + | 5.38531i | −0.444209 | + | 0.337905i | ||||
\(255\) | −7.70169 | − | 19.6236i | −0.482298 | − | 1.22888i | ||||
\(256\) | −12.9102 | − | 9.45130i | −0.806887 | − | 0.590706i | ||||
\(257\) | −23.2908 | + | 1.74541i | −1.45284 | + | 0.108875i | −0.777617 | − | 0.628738i | \(-0.783572\pi\) |
−0.675224 | + | 0.737613i | \(0.735953\pi\) | |||||||
\(258\) | 4.51618 | + | 6.96119i | 0.281165 | + | 0.433385i | ||||
\(259\) | 16.1957 | − | 13.3594i | 1.00635 | − | 0.830111i | ||||
\(260\) | 1.03444 | + | 1.99761i | 0.0641530 | + | 0.123887i | ||||
\(261\) | −0.351441 | − | 0.0529712i | −0.0217537 | − | 0.00327884i | ||||
\(262\) | 12.1746 | + | 8.71526i | 0.752146 | + | 0.538431i | ||||
\(263\) | −21.4261 | − | 12.3704i | −1.32119 | − | 0.762790i | −0.337272 | − | 0.941407i | \(-0.609504\pi\) |
−0.983919 | + | 0.178617i | \(0.942838\pi\) | |||||||
\(264\) | 16.4438 | − | 0.100708i | 1.01205 | − | 0.00619812i | ||||
\(265\) | 2.82773 | − | 5.87183i | 0.173706 | − | 0.360704i | ||||
\(266\) | −10.2670 | + | 8.08125i | −0.629509 | + | 0.495493i | ||||
\(267\) | 5.19473 | + | 10.7870i | 0.317912 | + | 0.660151i | ||||
\(268\) | 1.75911 | + | 16.8836i | 0.107455 | + | 1.03133i | ||||
\(269\) | −3.05488 | + | 3.29238i | −0.186259 | + | 0.200740i | −0.819278 | − | 0.573397i | \(-0.805625\pi\) |
0.633018 | + | 0.774137i | \(0.281816\pi\) | |||||||
\(270\) | 3.93113 | + | 1.64767i | 0.239241 | + | 0.100274i | ||||
\(271\) | −5.26352 | − | 3.58860i | −0.319736 | − | 0.217992i | 0.392807 | − | 0.919621i | \(-0.371504\pi\) |
−0.712543 | + | 0.701629i | \(0.752457\pi\) | |||||||
\(272\) | −26.8686 | + | 7.79698i | −1.62915 | + | 0.472761i | ||||
\(273\) | −0.824865 | − | 0.542637i | −0.0499231 | − | 0.0328419i | ||||
\(274\) | 2.80952 | − | 28.6675i | 0.169729 | − | 1.73187i | ||||
\(275\) | 20.5643 | − | 11.8728i | 1.24007 | − | 0.715956i | ||||
\(276\) | 0.362660 | − | 0.0654746i | 0.0218296 | − | 0.00394111i | ||||
\(277\) | −6.22613 | + | 4.24490i | −0.374092 | + | 0.255051i | −0.735741 | − | 0.677263i | \(-0.763166\pi\) |
0.361650 | + | 0.932314i | \(0.382214\pi\) | |||||||
\(278\) | −5.75159 | − | 28.1554i | −0.344958 | − | 1.68865i | ||||
\(279\) | −1.92241 | + | 8.42264i | −0.115092 | + | 0.504250i | ||||
\(280\) | 20.8037 | − | 8.71359i | 1.24326 | − | 0.520737i | ||||
\(281\) | −6.75347 | − | 29.5889i | −0.402878 | − | 1.76513i | −0.615646 | − | 0.788023i | \(-0.711105\pi\) |
0.212767 | − | 0.977103i | \(-0.431752\pi\) | |||||||
\(282\) | 8.88209 | − | 4.02960i | 0.528921 | − | 0.239959i | ||||
\(283\) | −4.45435 | − | 1.37399i | −0.264784 | − | 0.0816750i | 0.159521 | − | 0.987195i | \(-0.449005\pi\) |
−0.424304 | + | 0.905520i | \(0.639481\pi\) | |||||||
\(284\) | −0.506083 | + | 0.938427i | −0.0300305 | + | 0.0556854i | ||||
\(285\) | 3.10229 | + | 10.0574i | 0.183764 | + | 0.595747i | ||||
\(286\) | −1.59459 | + | 2.62144i | −0.0942899 | + | 0.155009i | ||||
\(287\) | 18.8866 | + | 5.48566i | 1.11484 | + | 0.323808i | ||||
\(288\) | 2.65456 | − | 4.99533i | 0.156422 | − | 0.294352i | ||||
\(289\) | −11.6616 | + | 29.7132i | −0.685975 | + | 1.74784i | ||||
\(290\) | 0.413279 | + | 1.45746i | 0.0242686 | + | 0.0855852i | ||||
\(291\) | −1.74797 | − | 11.5970i | −0.102468 | − | 0.679831i | ||||
\(292\) | −8.96219 | − | 1.08596i | −0.524473 | − | 0.0635511i | ||||
\(293\) | 2.69745i | 0.157586i | 0.996891 | + | 0.0787932i | \(0.0251067\pi\) | ||||
−0.996891 | + | 0.0787932i | \(0.974893\pi\) | |||||||
\(294\) | −6.09329 | + | 7.80204i | −0.355368 | + | 0.455024i | ||||
\(295\) | 25.9417i | 1.51038i | ||||||||
\(296\) | −21.8505 | + | 5.12821i | −1.27003 | + | 0.298071i | ||||
\(297\) | 0.866513 | + | 5.74894i | 0.0502802 | + | 0.333587i | ||||
\(298\) | 15.8019 | − | 4.48080i | 0.915381 | − | 0.259566i | ||||
\(299\) | −0.0251220 | + | 0.0640099i | −0.00145284 | + | 0.00370179i | ||||
\(300\) | −0.236987 | − | 8.16515i | −0.0136825 | − | 0.471415i | ||||
\(301\) | −0.904134 | + | 15.4975i | −0.0521134 | + | 0.893259i | ||||
\(302\) | 16.4111 | + | 9.98264i | 0.944351 | + | 0.574436i | ||||
\(303\) | 2.80870 | + | 9.10557i | 0.161355 | + | 0.523101i | ||||
\(304\) | 13.6680 | − | 2.87941i | 0.783915 | − | 0.165146i | ||||
\(305\) | −4.54482 | − | 1.40189i | −0.260235 | − | 0.0802720i | ||||
\(306\) | −4.08659 | − | 9.00773i | −0.233615 | − | 0.514938i | ||||
\(307\) | 1.45949 | + | 6.39443i | 0.0832973 | + | 0.364949i | 0.999348 | − | 0.0361140i | \(-0.0114979\pi\) |
−0.916050 | + | 0.401063i | \(0.868641\pi\) | |||||||
\(308\) | 24.9007 | + | 18.0662i | 1.41885 | + | 1.02942i | ||||
\(309\) | −2.13668 | + | 9.36141i | −0.121551 | + | 0.532552i | ||||
\(310\) | 36.0793 | − | 7.37029i | 2.04917 | − | 0.418604i | ||||
\(311\) | 2.43249 | − | 1.65845i | 0.137934 | − | 0.0940418i | −0.492387 | − | 0.870376i | \(-0.663876\pi\) |
0.630321 | + | 0.776334i | \(0.282923\pi\) | |||||||
\(312\) | 0.533348 | + | 0.910858i | 0.0301949 | + | 0.0515672i | ||||
\(313\) | −13.6653 | + | 7.88968i | −0.772410 | + | 0.445951i | −0.833734 | − | 0.552167i | \(-0.813801\pi\) |
0.0613236 | + | 0.998118i | \(0.480468\pi\) | |||||||
\(314\) | −14.1311 | − | 1.38490i | −0.797465 | − | 0.0781545i | ||||
\(315\) | 4.10074 | + | 6.83915i | 0.231051 | + | 0.385342i | ||||
\(316\) | −21.4330 | − | 9.56581i | −1.20570 | − | 0.538119i | ||||
\(317\) | −12.5466 | − | 8.55410i | −0.704685 | − | 0.480446i | 0.157189 | − | 0.987569i | \(-0.449757\pi\) |
−0.861874 | + | 0.507122i | \(0.830709\pi\) | |||||||
\(318\) | 1.18207 | − | 2.82027i | 0.0662871 | − | 0.158153i | ||||
\(319\) | −1.40545 | + | 1.51472i | −0.0786901 | + | 0.0848078i | ||||
\(320\) | −24.0650 | − | 1.50726i | −1.34527 | − | 0.0842585i | ||||
\(321\) | 0.522134 | + | 1.08422i | 0.0291427 | + | 0.0605154i | ||||
\(322\) | 0.619250 | + | 0.303087i | 0.0345095 | + | 0.0168904i | ||||
\(323\) | 10.5972 | − | 22.0053i | 0.589643 | − | 1.22441i | ||||
\(324\) | 1.88216 | + | 0.676361i | 0.104565 | + | 0.0375756i | ||||
\(325\) | 1.31998 | + | 0.762094i | 0.0732196 | + | 0.0422733i | ||||
\(326\) | −4.68134 | + | 6.53947i | −0.259275 | + | 0.362188i | ||||
\(327\) | −5.25959 | − | 0.792756i | −0.290856 | − | 0.0438395i | ||||
\(328\) | −15.4998 | − | 14.2060i | −0.855831 | − | 0.784397i | ||||
\(329\) | 17.8542 | + | 3.76582i | 0.984332 | + | 0.207616i | ||||
\(330\) | 20.7895 | − | 13.4875i | 1.14443 | − | 0.742464i | ||||
\(331\) | 12.3787 | − | 0.927655i | 0.680394 | − | 0.0509885i | 0.269950 | − | 0.962874i | \(-0.412993\pi\) |
0.410444 | + | 0.911886i | \(0.365374\pi\) | |||||||
\(332\) | −20.3830 | + | 8.69035i | −1.11866 | + | 0.476945i | ||||
\(333\) | −2.89906 | − | 7.38669i | −0.158868 | − | 0.404788i | ||||
\(334\) | 12.7808 | + | 16.8017i | 0.699336 | + | 0.919347i | ||||
\(335\) | 15.9498 | + | 20.0004i | 0.871431 | + | 1.09274i | ||||
\(336\) | 9.53607 | − | 4.58948i | 0.520235 | − | 0.250377i | ||||
\(337\) | 8.06985 | − | 10.1193i | 0.439593 | − | 0.551232i | −0.511843 | − | 0.859079i | \(-0.671037\pi\) |
0.951436 | + | 0.307847i | \(0.0996085\pi\) | |||||||
\(338\) | 18.1831 | + | 0.416317i | 0.989028 | + | 0.0226446i | ||||
\(339\) | −0.529995 | + | 7.07230i | −0.0287854 | + | 0.384114i | ||||
\(340\) | −27.7685 | + | 31.7256i | −1.50596 | + | 1.72056i | ||||
\(341\) | 34.1634 | + | 36.8193i | 1.85005 | + | 1.99388i | ||||
\(342\) | 1.69852 | + | 4.63716i | 0.0918453 | + | 0.250749i | ||||
\(343\) | −17.8295 | + | 5.01084i | −0.962703 | + | 0.270560i | ||||
\(344\) | 8.20966 | − | 14.4228i | 0.442635 | − | 0.777626i | ||||
\(345\) | 0.407113 | − | 0.377746i | 0.0219182 | − | 0.0203371i | ||||
\(346\) | 3.54654 | − | 1.94074i | 0.190663 | − | 0.104335i | ||||
\(347\) | 13.8882 | + | 1.04077i | 0.745556 | + | 0.0558717i | 0.442090 | − | 0.896971i | \(-0.354237\pi\) |
0.303466 | + | 0.952842i | \(0.401856\pi\) | |||||||
\(348\) | 0.229136 | + | 0.672877i | 0.0122830 | + | 0.0360700i | ||||
\(349\) | −10.6156 | − | 8.46568i | −0.568242 | − | 0.453158i | 0.296742 | − | 0.954958i | \(-0.404100\pi\) |
−0.864984 | + | 0.501800i | \(0.832671\pi\) | |||||||
\(350\) | 8.68889 | − | 12.5715i | 0.464440 | − | 0.671977i | ||||
\(351\) | −0.291766 | + | 0.232676i | −0.0155733 | + | 0.0124193i | ||||
\(352\) | −15.3019 | − | 29.1117i | −0.815594 | − | 1.55166i | ||||
\(353\) | 23.6912 | − | 9.29811i | 1.26096 | − | 0.494889i | 0.361693 | − | 0.932297i | \(-0.382199\pi\) |
0.899263 | + | 0.437409i | \(0.144104\pi\) | |||||||
\(354\) | 0.631548 | + | 12.1557i | 0.0335664 | + | 0.646071i | ||||
\(355\) | 0.120073 | + | 1.60227i | 0.00637283 | + | 0.0850395i | ||||
\(356\) | 14.3802 | − | 19.1464i | 0.762149 | − | 1.01476i | ||||
\(357\) | 3.81909 | − | 18.1067i | 0.202128 | − | 0.958308i | ||||
\(358\) | 2.46297 | + | 19.3340i | 0.130172 | + | 1.02184i | ||||
\(359\) | 2.64664 | − | 17.5593i | 0.139684 | − | 0.926746i | −0.803698 | − | 0.595038i | \(-0.797137\pi\) |
0.943382 | − | 0.331708i | \(-0.107625\pi\) | |||||||
\(360\) | −0.689119 | − | 8.49703i | −0.0363198 | − | 0.447833i | ||||
\(361\) | 3.40294 | − | 5.89407i | 0.179102 | − | 0.310214i | ||||
\(362\) | 1.98141 | + | 1.65572i | 0.104141 | + | 0.0870228i | ||||
\(363\) | 20.5431 | + | 9.89304i | 1.07823 | + | 0.519250i | ||||
\(364\) | −0.205113 | + | 1.96402i | −0.0107509 | + | 0.102942i | ||||
\(365\) | −12.2576 | + | 5.90294i | −0.641591 | + | 0.308974i | ||||
\(366\) | −2.16374 | − | 0.546255i | −0.113101 | − | 0.0285532i | ||||
\(367\) | −1.59964 | − | 1.48425i | −0.0835008 | − | 0.0774774i | 0.637318 | − | 0.770601i | \(-0.280044\pi\) |
−0.720819 | + | 0.693123i | \(0.756234\pi\) | |||||||
\(368\) | −0.449814 | − | 0.583870i | −0.0234482 | − | 0.0304363i | ||||
\(369\) | 4.18743 | − | 6.14184i | 0.217989 | − | 0.319731i | ||||
\(370\) | −23.5674 | + | 24.2613i | −1.22521 | + | 1.26129i | ||||
\(371\) | 4.90654 | − | 2.94195i | 0.254735 | − | 0.152738i | ||||
\(372\) | 16.7266 | − | 4.33192i | 0.867236 | − | 0.224600i | ||||
\(373\) | −12.9500 | − | 22.4300i | −0.670525 | − | 1.16138i | −0.977755 | − | 0.209748i | \(-0.932736\pi\) |
0.307230 | − | 0.951635i | \(-0.400598\pi\) | |||||||
\(374\) | −56.6539 | − | 9.87040i | −2.92950 | − | 0.510386i | ||||
\(375\) | 1.55474 | + | 2.28038i | 0.0802864 | + | 0.117759i | ||||
\(376\) | −15.3253 | − | 12.0687i | −0.790340 | − | 0.622395i | ||||
\(377\) | −0.129308 | − | 0.0295137i | −0.00665969 | − | 0.00152003i | ||||
\(378\) | 2.08803 | + | 3.10486i | 0.107396 | + | 0.159697i | ||||
\(379\) | −1.85588 | + | 0.423593i | −0.0953303 | + | 0.0217585i | −0.269920 | − | 0.962883i | \(-0.586997\pi\) |
0.174590 | + | 0.984641i | \(0.444140\pi\) | |||||||
\(380\) | 15.0088 | − | 14.7592i | 0.769936 | − | 0.757133i | ||||
\(381\) | −1.85393 | + | 6.01029i | −0.0949797 | + | 0.307917i | ||||
\(382\) | 15.2412 | + | 17.1995i | 0.779807 | + | 0.880002i | ||||
\(383\) | 1.90032 | − | 0.586171i | 0.0971018 | − | 0.0299519i | −0.245824 | − | 0.969315i | \(-0.579058\pi\) |
0.342925 | + | 0.939363i | \(0.388582\pi\) | |||||||
\(384\) | −11.3131 | − | 0.120413i | −0.577318 | − | 0.00614481i | ||||
\(385\) | 46.2831 | + | 2.70019i | 2.35880 | + | 0.137614i | ||||
\(386\) | −15.9913 | − | 5.33647i | −0.813934 | − | 0.271619i | ||||
\(387\) | 5.46186 | + | 2.14362i | 0.277642 | + | 0.108966i | ||||
\(388\) | −18.9888 | + | 13.7700i | −0.964011 | + | 0.699065i | ||||
\(389\) | −23.1487 | + | 3.48910i | −1.17369 | + | 0.176905i | −0.706800 | − | 0.707413i | \(-0.749862\pi\) |
−0.466885 | + | 0.884318i | \(0.654624\pi\) | |||||||
\(390\) | 1.41698 | + | 0.722793i | 0.0717514 | + | 0.0366000i | ||||
\(391\) | −1.28877 | −0.0651761 | ||||||||
\(392\) | 19.4603 | + | 3.64633i | 0.982895 | + | 0.184168i | ||||
\(393\) | 10.5871 | 0.534051 | ||||||||
\(394\) | 25.4009 | + | 12.9569i | 1.27968 | + | 0.652758i | ||||
\(395\) | −34.9756 | + | 5.27173i | −1.75981 | + | 0.265249i | ||||
\(396\) | 9.41322 | − | 6.82611i | 0.473032 | − | 0.343025i | ||||
\(397\) | −11.2620 | − | 4.42001i | −0.565223 | − | 0.221834i | 0.0654853 | − | 0.997854i | \(-0.479140\pi\) |
−0.630709 | + | 0.776020i | \(0.717236\pi\) | |||||||
\(398\) | −8.15894 | − | 2.72273i | −0.408971 | − | 0.136478i | ||||
\(399\) | −2.57698 | + | 8.87231i | −0.129010 | + | 0.444171i | ||||
\(400\) | −14.2834 | + | 7.93021i | −0.714169 | + | 0.396511i | ||||
\(401\) | 27.1586 | − | 8.37732i | 1.35624 | − | 0.418343i | 0.470446 | − | 0.882429i | \(-0.344093\pi\) |
0.885790 | + | 0.464086i | \(0.153617\pi\) | |||||||
\(402\) | 7.96067 | + | 8.98351i | 0.397042 | + | 0.448057i | ||||
\(403\) | −0.950295 | + | 3.08078i | −0.0473376 | + | 0.153465i | ||||
\(404\) | 13.5884 | − | 13.3625i | 0.676049 | − | 0.664808i | ||||
\(405\) | 2.93845 | − | 0.670682i | 0.146013 | − | 0.0333264i | ||||
\(406\) | −0.400055 | + | 1.26822i | −0.0198544 | + | 0.0629409i | ||||
\(407\) | −44.9777 | − | 10.2659i | −2.22946 | − | 0.508860i | ||||
\(408\) | −12.2394 | + | 15.5420i | −0.605940 | + | 0.769445i | ||||
\(409\) | 16.2931 | + | 23.8976i | 0.805642 | + | 1.18166i | 0.980394 | + | 0.197047i | \(0.0631353\pi\) |
−0.174752 | + | 0.984612i | \(0.555912\pi\) | |||||||
\(410\) | −31.2148 | − | 5.43832i | −1.54159 | − | 0.268580i | ||||
\(411\) | −10.1840 | − | 17.6393i | −0.502342 | − | 0.870081i | ||||
\(412\) | 18.5910 | − | 4.81475i | 0.915911 | − | 0.237206i | ||||
\(413\) | −12.5153 | + | 19.0245i | −0.615836 | + | 0.936135i | ||||
\(414\) | 0.181569 | − | 0.186915i | 0.00892363 | − | 0.00918639i | ||||
\(415\) | −18.8108 | + | 27.5904i | −0.923386 | + | 1.35436i | ||||
\(416\) | 1.12718 | − | 1.78493i | 0.0552644 | − | 0.0875132i | ||||
\(417\) | −14.8956 | − | 13.8211i | −0.729443 | − | 0.676824i | ||||
\(418\) | 27.8381 | + | 7.02796i | 1.36160 | + | 0.343749i | ||||
\(419\) | 27.5088 | − | 13.2475i | 1.34389 | − | 0.647184i | 0.382907 | − | 0.923787i | \(-0.374923\pi\) |
0.960984 | + | 0.276603i | \(0.0892088\pi\) | |||||||
\(420\) | 8.37498 | − | 13.5728i | 0.408657 | − | 0.662283i | ||||
\(421\) | 1.52458 | + | 0.734201i | 0.0743037 | + | 0.0357828i | 0.470667 | − | 0.882311i | \(-0.344013\pi\) |
−0.396363 | + | 0.918094i | \(0.629728\pi\) | |||||||
\(422\) | 28.6087 | + | 23.9062i | 1.39265 | + | 1.16374i | ||||
\(423\) | 3.44836 | − | 5.97273i | 0.167665 | − | 0.290404i | ||||
\(424\) | −6.09593 | + | 0.494387i | −0.296044 | + | 0.0240096i | ||||
\(425\) | −4.25763 | + | 28.2475i | −0.206526 | + | 1.37021i | ||||
\(426\) | 0.0952710 | + | 0.747868i | 0.00461590 | + | 0.0362343i | ||||
\(427\) | −2.65665 | − | 3.22068i | −0.128564 | − | 0.155860i | ||||
\(428\) | 1.44539 | − | 1.92445i | 0.0698654 | − | 0.0930218i | ||||
\(429\) | 0.162137 | + | 2.16357i | 0.00782806 | + | 0.104458i | ||||
\(430\) | −1.29762 | − | 24.9761i | −0.0625770 | − | 1.20445i | ||||
\(431\) | −27.6299 | + | 10.8439i | −1.33088 | + | 0.522333i | −0.920914 | − | 0.389766i | \(-0.872556\pi\) |
−0.409970 | + | 0.912099i | \(0.634461\pi\) | |||||||
\(432\) | −0.529767 | − | 3.96476i | −0.0254884 | − | 0.190755i | ||||
\(433\) | −30.4972 | + | 24.3207i | −1.46560 | + | 1.16878i | −0.515481 | + | 0.856901i | \(0.672387\pi\) |
−0.950122 | + | 0.311879i | \(0.899042\pi\) | |||||||
\(434\) | 30.0148 | + | 12.0010i | 1.44075 | + | 0.576067i | ||||
\(435\) | 0.837509 | + | 0.667891i | 0.0401555 | + | 0.0320229i | ||||
\(436\) | 3.42920 | + | 10.0701i | 0.164229 | + | 0.482272i | ||||
\(437\) | 0.641643 | + | 0.0480845i | 0.0306940 | + | 0.00230019i | ||||
\(438\) | −5.59995 | + | 3.06441i | −0.267576 | + | 0.146423i | ||||
\(439\) | 13.8167 | − | 12.8201i | 0.659437 | − | 0.611868i | −0.277768 | − | 0.960648i | \(-0.589595\pi\) |
0.937204 | + | 0.348781i | \(0.113404\pi\) | |||||||
\(440\) | −43.0736 | − | 24.5181i | −2.05346 | − | 1.16885i | ||||
\(441\) | −0.292162 | + | 6.99390i | −0.0139125 | + | 0.333043i | ||||
\(442\) | −1.26957 | − | 3.46610i | −0.0603875 | − | 0.164865i | ||||
\(443\) | 13.6127 | + | 14.6710i | 0.646760 | + | 0.697042i | 0.968282 | − | 0.249860i | \(-0.0803847\pi\) |
−0.321522 | + | 0.946902i | \(0.604194\pi\) | |||||||
\(444\) | −10.4526 | + | 11.9421i | −0.496057 | + | 0.566748i | ||||
\(445\) | 2.69669 | − | 35.9848i | 0.127835 | − | 1.70584i | ||||
\(446\) | −16.3983 | − | 0.375454i | −0.776484 | − | 0.0177783i | ||||
\(447\) | 7.24132 | − | 9.08033i | 0.342503 | − | 0.429485i | ||||
\(448\) | −16.9211 | − | 12.7152i | −0.799445 | − | 0.600739i | ||||
\(449\) | −2.59992 | − | 3.26020i | −0.122698 | − | 0.153858i | 0.716689 | − | 0.697393i | \(-0.245657\pi\) |
−0.839386 | + | 0.543535i | \(0.817085\pi\) | |||||||
\(450\) | −3.49700 | − | 4.59716i | −0.164850 | − | 0.216712i | ||||
\(451\) | −15.7891 | − | 40.2299i | −0.743479 | − | 1.89435i | ||||
\(452\) | 13.0478 | − | 5.56298i | 0.613719 | − | 0.261660i | ||||
\(453\) | 13.5447 | − | 1.01503i | 0.636384 | − | 0.0476904i | ||||
\(454\) | −14.9304 | + | 9.68632i | −0.700718 | + | 0.454602i | ||||
\(455\) | 1.33532 | + | 2.65948i | 0.0626006 | + | 0.124678i | ||||
\(456\) | 6.67352 | − | 7.28128i | 0.312516 | − | 0.340977i | ||||
\(457\) | −29.1633 | − | 4.39566i | −1.36420 | − | 0.205620i | −0.574194 | − | 0.818719i | \(-0.694685\pi\) |
−0.790006 | + | 0.613099i | \(0.789923\pi\) | |||||||
\(458\) | −16.5579 | + | 23.1301i | −0.773699 | + | 1.08080i | ||||
\(459\) | −6.05721 | − | 3.49713i | −0.282726 | − | 0.163232i | ||||
\(460\) | −1.04529 | − | 0.375629i | −0.0487370 | − | 0.0175138i | ||||
\(461\) | 8.82571 | − | 18.3268i | 0.411054 | − | 0.853563i | −0.587948 | − | 0.808899i | \(-0.700064\pi\) |
0.999002 | − | 0.0446643i | \(-0.0142218\pi\) | |||||||
\(462\) | 21.7531 | + | 0.138498i | 1.01205 | + | 0.00644350i | ||||
\(463\) | 16.5562 | + | 34.3792i | 0.769430 | + | 1.59774i | 0.801312 | + | 0.598247i | \(0.204136\pi\) |
−0.0318817 | + | 0.999492i | \(0.510150\pi\) | |||||||
\(464\) | 0.984300 | − | 1.02578i | 0.0456950 | − | 0.0476206i | ||||
\(465\) | 17.7109 | − | 19.0878i | 0.821323 | − | 0.885175i | ||||
\(466\) | 0.850672 | − | 2.02960i | 0.0394066 | − | 0.0940193i | ||||
\(467\) | 11.2891 | + | 7.69674i | 0.522395 | + | 0.356163i | 0.795628 | − | 0.605785i | \(-0.207141\pi\) |
−0.273234 | + | 0.961948i | \(0.588093\pi\) | |||||||
\(468\) | 0.681564 | + | 0.304190i | 0.0315053 | + | 0.0140612i | ||||
\(469\) | 2.04793 | + | 22.3623i | 0.0945646 | + | 1.03259i | ||||
\(470\) | −29.2568 | − | 2.86727i | −1.34952 | − | 0.132257i | ||||
\(471\) | −8.69496 | + | 5.02004i | −0.400643 | + | 0.231311i | ||||
\(472\) | 21.0078 | − | 12.3010i | 0.966964 | − | 0.566201i | ||||
\(473\) | 28.1852 | − | 19.2163i | 1.29596 | − | 0.883568i | ||||
\(474\) | −16.2605 | + | 3.32171i | −0.746872 | + | 0.152571i | ||||
\(475\) | 3.17368 | − | 13.9048i | 0.145618 | − | 0.637996i | ||||
\(476\) | −35.6699 | + | 9.86966i | −1.63493 | + | 0.452375i | ||||
\(477\) | −0.481160 | − | 2.10810i | −0.0220308 | − | 0.0965232i | ||||
\(478\) | −4.91584 | − | 10.8356i | −0.224845 | − | 0.495608i | ||||
\(479\) | −30.8796 | − | 9.52509i | −1.41092 | − | 0.435213i | −0.506645 | − | 0.862155i | \(-0.669115\pi\) |
−0.904279 | + | 0.426942i | \(0.859591\pi\) | |||||||
\(480\) | −14.4570 | + | 9.03842i | −0.659868 | + | 0.412546i | ||||
\(481\) | −0.872854 | − | 2.82972i | −0.0397987 | − | 0.129024i | ||||
\(482\) | −9.42720 | − | 5.73445i | −0.429397 | − | 0.261197i | ||||
\(483\) | 0.480799 | − | 0.0806155i | 0.0218771 | − | 0.00366813i | ||||
\(484\) | −1.32302 | − | 45.5831i | −0.0601371 | − | 2.07196i | ||||
\(485\) | −12.9143 | + | 32.9050i | −0.586406 | + | 1.49414i | ||||
\(486\) | 1.36057 | − | 0.385805i | 0.0617168 | − | 0.0175005i | ||||
\(487\) | 3.47085 | + | 23.0276i | 0.157279 | + | 1.04348i | 0.918624 | + | 0.395133i | \(0.129301\pi\) |
−0.761345 | + | 0.648347i | \(0.775461\pi\) | |||||||
\(488\) | 1.01980 | + | 4.34519i | 0.0461641 | + | 0.196698i | ||||
\(489\) | 5.68681i | 0.257166i | ||||||||
\(490\) | 27.6625 | − | 11.1823i | 1.24967 | − | 0.505167i | ||||
\(491\) | 30.3304i | 1.36879i | 0.729112 | + | 0.684395i | \(0.239933\pi\) | ||||
−0.729112 | + | 0.684395i | \(0.760067\pi\) | |||||||
\(492\) | −14.7590 | − | 1.78837i | −0.665388 | − | 0.0806260i | ||||
\(493\) | −0.370495 | − | 2.45807i | −0.0166862 | − | 0.110706i | ||||
\(494\) | 0.502764 | + | 1.77304i | 0.0226204 | + | 0.0797727i | ||||
\(495\) | 6.40191 | − | 16.3118i | 0.287745 | − | 0.733161i | ||||
\(496\) | −23.0767 | − | 25.7226i | −1.03617 | − | 1.15498i | ||||
\(497\) | −0.684939 | + | 1.23296i | −0.0307237 | + | 0.0553059i | ||||
\(498\) | −8.14269 | + | 13.3863i | −0.364883 | + | 0.599853i | ||||
\(499\) | −0.430234 | − | 1.39478i | −0.0192599 | − | 0.0624391i | 0.945433 | − | 0.325817i | \(-0.105639\pi\) |
−0.964693 | + | 0.263378i | \(0.915163\pi\) | |||||||
\(500\) | 2.62011 | − | 4.85845i | 0.117175 | − | 0.217276i | ||||
\(501\) | 14.2641 | + | 4.39989i | 0.637272 | + | 0.196572i | ||||
\(502\) | −36.0432 | + | 16.3520i | −1.60869 | + | 0.729824i | ||||
\(503\) | 1.83606 | + | 8.04431i | 0.0818659 | + | 0.358678i | 0.999224 | − | 0.0393847i | \(-0.0125398\pi\) |
−0.917358 | + | 0.398063i | \(0.869683\pi\) | |||||||
\(504\) | 3.59393 | − | 6.56382i | 0.160086 | − | 0.292376i | ||||
\(505\) | 6.39087 | − | 28.0002i | 0.284390 | − | 1.24599i | ||||
\(506\) | −0.303224 | − | 1.48435i | −0.0134800 | − | 0.0659876i | ||||
\(507\) | 10.6260 | − | 7.24471i | 0.471919 | − | 0.321749i | ||||
\(508\) | 12.3793 | − | 2.23496i | 0.549244 | − | 0.0991603i | ||||
\(509\) | −6.99647 | + | 4.03941i | −0.310113 | + | 0.179044i | −0.646977 | − | 0.762509i | \(-0.723967\pi\) |
0.336864 | + | 0.941553i | \(0.390634\pi\) | |||||||
\(510\) | −2.90783 | + | 29.6706i | −0.128761 | + | 1.31384i | ||||
\(511\) | −11.8370 | − | 1.58457i | −0.523638 | − | 0.0700971i | ||||
\(512\) | 10.1905 | + | 20.2028i | 0.450363 | + | 0.892846i | ||||
\(513\) | 2.88523 | + | 1.96712i | 0.127386 | + | 0.0868504i | ||||
\(514\) | 30.4630 | + | 12.7681i | 1.34366 | + | 0.563175i | ||||
\(515\) | 19.6849 | − | 21.2153i | 0.867421 | − | 0.934857i | ||||
\(516\) | −1.21608 | − | 11.6717i | −0.0535351 | − | 0.513819i | ||||
\(517\) | −17.3973 | − | 36.1258i | −0.765131 | − | 1.58881i | ||||
\(518\) | −28.9879 | + | 6.42241i | −1.27366 | + | 0.282185i | ||||
\(519\) | 1.24035 | − | 2.57561i | 0.0544452 | − | 0.113057i | ||||
\(520\) | −0.0194833 | − | 3.18129i | −0.000854401 | − | 0.139509i | ||||
\(521\) | −19.8502 | − | 11.4605i | −0.869654 | − | 0.502095i | −0.00242074 | − | 0.999997i | \(-0.500771\pi\) |
−0.867233 | + | 0.497902i | \(0.834104\pi\) | |||||||
\(522\) | 0.408700 | + | 0.292571i | 0.0178883 | + | 0.0128055i | ||||
\(523\) | −1.50305 | − | 0.226548i | −0.0657237 | − | 0.00990625i | 0.116098 | − | 0.993238i | \(-0.462961\pi\) |
−0.181822 | + | 0.983332i | \(0.558199\pi\) | |||||||
\(524\) | −9.73679 | − | 18.8028i | −0.425354 | − | 0.821405i | ||||
\(525\) | −0.178563 | − | 10.8045i | −0.00779312 | − | 0.471549i | ||||
\(526\) | 19.0429 | + | 29.3526i | 0.830312 | + | 1.27983i | ||||
\(527\) | −60.2562 | + | 4.51557i | −2.62480 | + | 0.196702i | ||||
\(528\) | −20.7804 | − | 10.4401i | −0.904349 | − | 0.454346i | ||||
\(529\) | 8.39044 | + | 21.3785i | 0.364802 | + | 0.929500i | ||||
\(530\) | −7.33561 | + | 5.58012i | −0.318639 | + | 0.242385i | ||||
\(531\) | 5.36638 | + | 6.72923i | 0.232881 | + | 0.292024i | ||||
\(532\) | 18.1273 | − | 3.58297i | 0.785916 | − | 0.155341i | ||||
\(533\) | 1.72959 | − | 2.16884i | 0.0749169 | − | 0.0939428i | ||||
\(534\) | 0.387567 | − | 16.9274i | 0.0167717 | − | 0.732521i | ||||
\(535\) | 0.271050 | − | 3.61691i | 0.0117185 | − | 0.156373i | ||||
\(536\) | 8.63347 | − | 22.4001i | 0.372909 | − | 0.967539i | ||||
\(537\) | 9.37395 | + | 10.1027i | 0.404516 | + | 0.435964i | ||||
\(538\) | 5.96420 | − | 2.18459i | 0.257135 | − | 0.0941843i | ||||
\(539\) | 32.6394 | + | 24.3090i | 1.40588 | + | 1.04706i | ||||
\(540\) | −3.89357 | − | 4.60188i | −0.167552 | − | 0.198033i | ||||
\(541\) | 15.5305 | − | 14.4102i | 0.667707 | − | 0.619541i | −0.271685 | − | 0.962386i | \(-0.587581\pi\) |
0.939392 | + | 0.342845i | \(0.111391\pi\) | |||||||
\(542\) | 4.32482 | + | 7.90325i | 0.185767 | + | 0.339474i | ||||
\(543\) | 1.82074 | + | 0.136445i | 0.0781353 | + | 0.00585543i | ||||
\(544\) | 38.8590 | + | 7.44351i | 1.66607 | + | 0.319138i | ||||
\(545\) | 12.5340 | + | 9.99551i | 0.536896 | + | 0.428161i | ||||
\(546\) | 0.690448 | + | 1.21367i | 0.0295484 | + | 0.0519403i | ||||
\(547\) | −19.8054 | + | 15.7943i | −0.846817 | + | 0.675314i | −0.947553 | − | 0.319599i | \(-0.896452\pi\) |
0.100736 | + | 0.994913i | \(0.467880\pi\) | |||||||
\(548\) | −21.9614 | + | 34.3094i | −0.938142 | + | 1.46562i | ||||
\(549\) | −1.46892 | + | 0.576508i | −0.0626919 | + | 0.0246048i | ||||
\(550\) | −33.5361 | + | 1.74235i | −1.42998 | + | 0.0742942i | ||||
\(551\) | 0.0927473 | + | 1.23763i | 0.00395117 | + | 0.0527247i | ||||
\(552\) | −0.498948 | − | 0.150565i | −0.0212366 | − | 0.00640846i | ||||
\(553\) | −28.1929 | − | 13.0075i | −1.19888 | − | 0.553137i | ||||
\(554\) | 10.5714 | − | 1.34669i | 0.449135 | − | 0.0572154i | ||||
\(555\) | −3.56463 | + | 23.6497i | −0.151310 | + | 1.00388i | ||||
\(556\) | −10.8472 | + | 39.1658i | −0.460022 | + | 1.66100i | ||||
\(557\) | −15.1694 | + | 26.2741i | −0.642747 | + | 1.11327i | 0.342070 | + | 0.939675i | \(0.388872\pi\) |
−0.984817 | + | 0.173596i | \(0.944461\pi\) | |||||||
\(558\) | 7.83428 | − | 9.37534i | 0.331652 | − | 0.396890i | ||||
\(559\) | 1.97279 | + | 0.950045i | 0.0834401 | + | 0.0401826i | ||||
\(560\) | −31.8076 | − | 2.39140i | −1.34412 | − | 0.101055i | ||||
\(561\) | −36.6368 | + | 17.6433i | −1.54681 | + | 0.744903i | ||||
\(562\) | −10.5062 | + | 41.6154i | −0.443176 | + | 1.75544i | ||||
\(563\) | −15.4535 | − | 14.3387i | −0.651285 | − | 0.604304i | 0.283733 | − | 0.958903i | \(-0.408427\pi\) |
−0.935019 | + | 0.354599i | \(0.884617\pi\) | |||||||
\(564\) | −13.7790 | − | 0.631293i | −0.580199 | − | 0.0265822i | ||||
\(565\) | 12.0414 | − | 17.6615i | 0.506586 | − | 0.743025i | ||||
\(566\) | 4.72858 | + | 4.59333i | 0.198757 | + | 0.193072i | ||||
\(567\) | 2.47850 | + | 0.925772i | 0.104087 | + | 0.0388788i | ||||
\(568\) | 1.24060 | − | 0.857001i | 0.0520543 | − | 0.0359589i | ||||
\(569\) | 21.5465 | + | 37.3196i | 0.903276 | + | 1.56452i | 0.823215 | + | 0.567730i | \(0.192178\pi\) |
0.0800615 | + | 0.996790i | \(0.474488\pi\) | |||||||
\(570\) | 2.55475 | − | 14.6637i | 0.107007 | − | 0.614193i | ||||
\(571\) | −0.395201 | − | 0.579654i | −0.0165387 | − | 0.0242578i | 0.817880 | − | 0.575388i | \(-0.195149\pi\) |
−0.834419 | + | 0.551130i | \(0.814197\pi\) | |||||||
\(572\) | 3.69339 | − | 2.27775i | 0.154429 | − | 0.0952375i | ||||
\(573\) | 15.8424 | + | 3.61593i | 0.661827 | + | 0.151058i | ||||
\(574\) | −20.2679 | − | 19.0475i | −0.845967 | − | 0.795025i | ||||
\(575\) | −0.733709 | + | 0.167464i | −0.0305978 | + | 0.00698375i | ||||
\(576\) | −6.55422 | + | 4.58718i | −0.273092 | + | 0.191133i | ||||
\(577\) | −12.1980 | + | 39.5449i | −0.507809 | + | 1.64628i | 0.231445 | + | 0.972848i | \(0.425655\pi\) |
−0.739253 | + | 0.673427i | \(0.764821\pi\) | |||||||
\(578\) | 33.7850 | − | 29.9384i | 1.40527 | − | 1.24527i | ||||
\(579\) | −11.3909 | + | 3.51364i | −0.473391 | + | 0.146022i | ||||
\(580\) | 0.415936 | − | 2.10166i | 0.0172708 | − | 0.0872669i | ||||
\(581\) | −27.1057 | + | 11.1586i | −1.12453 | + | 0.462935i | ||||
\(582\) | −5.25030 | + | 15.7330i | −0.217632 | + | 0.652155i | ||||
\(583\) | −11.7024 | − | 4.59285i | −0.484664 | − | 0.190217i | ||||
\(584\) | 10.5926 | + | 7.12726i | 0.438324 | + | 0.294928i | ||||
\(585\) | 1.11222 | − | 0.167640i | 0.0459845 | − | 0.00693104i | ||||
\(586\) | 1.73340 | − | 3.39820i | 0.0716062 | − | 0.140378i | ||||
\(587\) | −10.0898 | −0.416450 | −0.208225 | − | 0.978081i | \(-0.566769\pi\) | ||||
−0.208225 | + | 0.978081i | \(0.566769\pi\) | |||||||
\(588\) | 12.6899 | − | 5.91327i | 0.523322 | − | 0.243859i | ||||
\(589\) | 30.1683 | 1.24306 | ||||||||
\(590\) | 16.6703 | − | 32.6809i | 0.686307 | − | 1.34545i | ||||
\(591\) | 19.9377 | − | 3.00513i | 0.820129 | − | 0.123615i | ||||
\(592\) | 30.8223 | + | 7.58087i | 1.26679 | + | 0.311572i | ||||
\(593\) | 20.8579 | + | 8.18614i | 0.856533 | + | 0.336164i | 0.752647 | − | 0.658425i | \(-0.228777\pi\) |
0.103886 | + | 0.994589i | \(0.466872\pi\) | |||||||
\(594\) | 2.60270 | − | 7.79925i | 0.106790 | − | 0.320007i | ||||
\(595\) | −37.2556 | + | 41.5070i | −1.52733 | + | 1.70162i | ||||
\(596\) | −22.7864 | − | 4.50961i | −0.933367 | − | 0.184721i | ||||
\(597\) | −5.81180 | + | 1.79270i | −0.237861 | + | 0.0733704i | ||||
\(598\) | 0.0727816 | − | 0.0644949i | 0.00297626 | − | 0.00263739i | ||||
\(599\) | 5.99870 | − | 19.4473i | 0.245100 | − | 0.794596i | −0.746515 | − | 0.665369i | \(-0.768274\pi\) |
0.991615 | − | 0.129227i | \(-0.0412496\pi\) | |||||||
\(600\) | −4.94844 | + | 10.4386i | −0.202019 | + | 0.426154i | ||||
\(601\) | −16.3611 | + | 3.73432i | −0.667385 | + | 0.152326i | −0.542773 | − | 0.839879i | \(-0.682626\pi\) |
−0.124612 | + | 0.992206i | \(0.539769\pi\) | |||||||
\(602\) | 11.0978 | − | 18.9424i | 0.452314 | − | 0.772036i | ||||
\(603\) | 8.27471 | + | 1.88865i | 0.336972 | + | 0.0769118i | ||||
\(604\) | −14.2595 | − | 23.1219i | −0.580209 | − | 0.940815i | ||||
\(605\) | −38.7130 | − | 56.7816i | −1.57391 | − | 2.30850i | ||||
\(606\) | 2.31297 | − | 13.2759i | 0.0939580 | − | 0.539298i | ||||
\(607\) | 3.13404 | + | 5.42831i | 0.127207 | + | 0.220328i | 0.922593 | − | 0.385774i | \(-0.126066\pi\) |
−0.795387 | + | 0.606102i | \(0.792732\pi\) | |||||||
\(608\) | −19.0691 | − | 5.15575i | −0.773353 | − | 0.209093i | ||||
\(609\) | 0.291977 | + | 0.893850i | 0.0118315 | + | 0.0362206i | ||||
\(610\) | 4.82462 | + | 4.68662i | 0.195343 | + | 0.189756i | ||||
\(611\) | 1.44984 | − | 2.12652i | 0.0586541 | − | 0.0860297i | ||||
\(612\) | −0.640223 | + | 13.9739i | −0.0258795 | + | 0.564860i | ||||
\(613\) | 15.4543 | + | 14.3395i | 0.624193 | + | 0.579166i | 0.927545 | − | 0.373712i | \(-0.121915\pi\) |
−0.303352 | + | 0.952879i | \(0.598106\pi\) | |||||||
\(614\) | 2.27048 | − | 8.99347i | 0.0916291 | − | 0.362947i | ||||
\(615\) | −20.1859 | + | 9.72101i | −0.813974 | + | 0.391989i | ||||
\(616\) | −19.7599 | − | 38.7609i | −0.796149 | − | 1.56172i | ||||
\(617\) | −11.6041 | − | 5.58824i | −0.467163 | − | 0.224974i | 0.185467 | − | 0.982650i | \(-0.440620\pi\) |
−0.652630 | + | 0.757676i | \(0.726335\pi\) | |||||||
\(618\) | 8.70748 | − | 10.4203i | 0.350266 | − | 0.419166i | ||||
\(619\) | 6.86291 | − | 11.8869i | 0.275844 | − | 0.477775i | −0.694504 | − | 0.719489i | \(-0.744376\pi\) |
0.970348 | + | 0.241714i | \(0.0777094\pi\) | |||||||
\(620\) | −50.1883 | − | 13.8999i | −2.01561 | − | 0.558235i | ||||
\(621\) | 0.0274628 | − | 0.182203i | 0.00110204 | − | 0.00731157i | ||||
\(622\) | −4.13015 | + | 0.526140i | −0.165604 | + | 0.0210963i | ||||
\(623\) | 19.3381 | − | 25.0887i | 0.774764 | − | 1.00516i | ||||
\(624\) | −0.0865779 | − | 1.49022i | −0.00346589 | − | 0.0596565i | ||||
\(625\) | −2.14774 | − | 28.6597i | −0.0859098 | − | 1.14639i | ||||
\(626\) | 22.2853 | − | 1.15783i | 0.890701 | − | 0.0462761i | ||||
\(627\) | 18.8987 | − | 7.41719i | 0.754741 | − | 0.296214i | ||||
\(628\) | 16.9122 | + | 10.8255i | 0.674870 | + | 0.431983i | ||||
\(629\) | 43.3924 | − | 34.6043i | 1.73017 | − | 1.37976i | ||||
\(630\) | −0.771146 | − | 11.2510i | −0.0307232 | − | 0.448251i | ||||
\(631\) | −25.7382 | − | 20.5256i | −1.02462 | − | 0.817110i | −0.0413312 | − | 0.999146i | \(-0.513160\pi\) |
−0.983292 | + | 0.182036i | \(0.941731\pi\) | |||||||
\(632\) | 20.8539 | + | 25.8239i | 0.829522 | + | 1.02722i | ||||
\(633\) | 26.2888 | + | 1.97007i | 1.04489 | + | 0.0783034i | ||||
\(634\) | 10.3090 | + | 18.8388i | 0.409423 | + | 0.748186i | ||||
\(635\) | 13.8967 | − | 12.8943i | 0.551474 | − | 0.511693i | ||||
\(636\) | −3.30148 | + | 2.79332i | −0.130912 | + | 0.110762i | ||||
\(637\) | −0.303771 | + | 2.59456i | −0.0120358 | + | 0.102800i | ||||
\(638\) | 2.74393 | − | 1.00506i | 0.108633 | − | 0.0397906i | ||||
\(639\) | 0.362597 | + | 0.390787i | 0.0143441 | + | 0.0154593i | ||||
\(640\) | 29.3481 | + | 17.3632i | 1.16008 | + | 0.686340i | ||||
\(641\) | 1.55093 | − | 20.6958i | 0.0612582 | − | 0.817433i | −0.878968 | − | 0.476882i | \(-0.841767\pi\) |
0.940226 | − | 0.340552i | \(-0.110614\pi\) | |||||||
\(642\) | 0.0389553 | − | 1.70141i | 0.00153744 | − | 0.0671494i | ||||
\(643\) | 1.06575 | − | 1.33640i | 0.0420290 | − | 0.0527027i | −0.760373 | − | 0.649487i | \(-0.774984\pi\) |
0.802402 | + | 0.596784i | \(0.203555\pi\) | |||||||
\(644\) | −0.585354 | − | 0.779759i | −0.0230662 | − | 0.0307268i | ||||
\(645\) | −11.0262 | − | 13.8264i | −0.434155 | − | 0.544413i | ||||
\(646\) | −27.4909 | + | 20.9120i | −1.08162 | + | 0.822773i | ||||
\(647\) | 11.7545 | + | 29.9499i | 0.462116 | + | 1.17745i | 0.952118 | + | 0.305731i | \(0.0989009\pi\) |
−0.490002 | + | 0.871722i | \(0.663004\pi\) | |||||||
\(648\) | −1.93648 | − | 2.06156i | −0.0760722 | − | 0.0809858i | ||||
\(649\) | 49.9001 | − | 3.73950i | 1.95875 | − | 0.146788i | ||||
\(650\) | −1.17317 | − | 1.80831i | −0.0460154 | − | 0.0709276i | ||||
\(651\) | 22.1971 | − | 5.45376i | 0.869973 | − | 0.213750i | ||||
\(652\) | 10.0998 | − | 5.23004i | 0.395538 | − | 0.204824i | ||||
\(653\) | 39.1271 | + | 5.89746i | 1.53116 | + | 0.230786i | 0.859911 | − | 0.510444i | \(-0.170519\pi\) |
0.671251 | + | 0.741230i | \(0.265757\pi\) | |||||||
\(654\) | 6.11651 | + | 4.37856i | 0.239175 | + | 0.171215i | ||||
\(655\) | −27.6347 | − | 15.9549i | −1.07978 | − | 0.623410i | ||||
\(656\) | 10.3974 | + | 27.8568i | 0.405951 | + | 1.08763i | ||||
\(657\) | −1.95850 | + | 4.06686i | −0.0764082 | + | 0.158663i | ||||
\(658\) | −20.0724 | − | 16.2174i | −0.782504 | − | 0.632218i | ||||
\(659\) | 3.63072 | + | 7.53927i | 0.141433 | + | 0.293688i | 0.959638 | − | 0.281238i | \(-0.0907451\pi\) |
−0.818205 | + | 0.574926i | \(0.805031\pi\) | |||||||
\(660\) | −34.8575 | + | 3.63182i | −1.35683 | + | 0.141369i | ||||
\(661\) | 10.2612 | − | 11.0590i | 0.399115 | − | 0.430144i | −0.501234 | − | 0.865312i | \(-0.667121\pi\) |
0.900349 | + | 0.435168i | \(0.143311\pi\) | |||||||
\(662\) | −16.1906 | − | 6.78601i | −0.629265 | − | 0.263746i | ||||
\(663\) | −2.15660 | − | 1.47034i | −0.0837553 | − | 0.0571034i | ||||
\(664\) | 31.2627 | + | 2.15037i | 1.21323 | + | 0.0834504i | ||||
\(665\) | 20.0971 | − | 19.2751i | 0.779333 | − | 0.747457i | ||||
\(666\) | −1.09456 | + | 11.1686i | −0.0424134 | + | 0.432774i | ||||
\(667\) | 0.0567147 | − | 0.0327443i | 0.00219600 | − | 0.00126786i | ||||
\(668\) | −5.30418 | − | 29.3796i | −0.205225 | − | 1.13673i | ||||
\(669\) | −9.58306 | + | 6.53362i | −0.370503 | + | 0.252604i | ||||
\(670\) | −7.24085 | − | 35.4457i | −0.279738 | − | 1.36939i | ||||
\(671\) | −2.04147 | + | 8.94428i | −0.0788102 | + | 0.345290i | ||||
\(672\) | −14.9626 | − | 0.346212i | −0.577196 | − | 0.0133554i | ||||
\(673\) | −9.24461 | − | 40.5033i | −0.356353 | − | 1.56129i | −0.762198 | − | 0.647344i | \(-0.775880\pi\) |
0.405845 | − | 0.913942i | \(-0.366977\pi\) | |||||||
\(674\) | −16.6690 | + | 7.56233i | −0.642066 | + | 0.291290i | ||||
\(675\) | −3.90284 | − | 1.20387i | −0.150220 | − | 0.0463368i | ||||
\(676\) | −22.6392 | − | 12.2091i | −0.870738 | − | 0.469579i | ||||
\(677\) | −7.91739 | − | 25.6676i | −0.304290 | − | 0.986484i | −0.970577 | − | 0.240789i | \(-0.922594\pi\) |
0.666287 | − | 0.745695i | \(-0.267882\pi\) | |||||||
\(678\) | 5.21240 | − | 8.56898i | 0.200181 | − | 0.329090i | ||||
\(679\) | −25.3454 | + | 17.9008i | −0.972668 | + | 0.686969i | ||||
\(680\) | 55.3694 | − | 22.1232i | 2.12332 | − | 0.848385i | ||||
\(681\) | −4.59765 | + | 11.7146i | −0.176182 | + | 0.448905i | ||||
\(682\) | −19.3780 | − | 68.3381i | −0.742021 | − | 2.61680i | ||||
\(683\) | −2.58586 | − | 17.1561i | −0.0989452 | − | 0.656458i | −0.982238 | − | 0.187637i | \(-0.939917\pi\) |
0.883293 | − | 0.468821i | \(-0.155321\pi\) | |||||||
\(684\) | 0.840118 | − | 6.93330i | 0.0321227 | − | 0.265101i | ||||
\(685\) | 61.3897i | 2.34558i | ||||||||
\(686\) | 25.6813 | + | 5.14482i | 0.980518 | + | 0.196430i | ||||
\(687\) | 20.1142i | 0.767406i | ||||||||
\(688\) | −19.6106 | + | 12.8940i | −0.747648 | + | 0.491580i | ||||
\(689\) | −0.120268 | − | 0.797925i | −0.00458184 | − | 0.0303985i | ||||
\(690\) | −0.755617 | + | 0.214263i | −0.0287658 | + | 0.00815686i | ||||
\(691\) | 5.65575 | − | 14.4106i | 0.215155 | − | 0.548206i | −0.782026 | − | 0.623246i | \(-0.785813\pi\) |
0.997180 | + | 0.0750406i | \(0.0239086\pi\) | |||||||
\(692\) | −5.71501 | + | 0.165874i | −0.217252 | + | 0.00630558i | ||||
\(693\) | 12.5643 | − | 8.87386i | 0.477280 | − | 0.337090i | ||||
\(694\) | −16.8273 | − | 10.2358i | −0.638754 | − | 0.388546i | ||||
\(695\) | 18.0523 | + | 58.5240i | 0.684761 | + | 2.21994i | ||||
\(696\) | 0.143735 | − | 0.994925i | 0.00544825 | − | 0.0377125i | ||||
\(697\) | 49.6819 | + | 15.3248i | 1.88184 | + | 0.580470i | ||||
\(698\) | 7.93327 | + | 17.4866i | 0.300279 | + | 0.661878i | ||||
\(699\) | −0.346265 | − | 1.51709i | −0.0130970 | − | 0.0573815i | ||||
\(700\) | −19.0247 | + | 10.2539i | −0.719066 | + | 0.387559i | ||||
\(701\) | −1.64967 | + | 7.22766i | −0.0623071 | + | 0.272985i | −0.996479 | − | 0.0838368i | \(-0.973283\pi\) |
0.934172 | + | 0.356822i | \(0.116140\pi\) | |||||||
\(702\) | 0.517081 | − | 0.105629i | 0.0195160 | − | 0.00398673i | ||||
\(703\) | −22.8949 | + | 15.6095i | −0.863499 | + | 0.588724i | ||||
\(704\) | 0.569677 | + | 46.5075i | 0.0214705 | + | 1.75282i | ||||
\(705\) | −18.0019 | + | 10.3934i | −0.677991 | + | 0.391438i | ||||
\(706\) | −35.8208 | − | 3.51057i | −1.34814 | − | 0.132122i | ||||
\(707\) | 18.1952 | − | 17.4510i | 0.684300 | − | 0.656311i | ||||
\(708\) | 7.01578 | − | 15.7194i | 0.263669 | − | 0.590773i | ||||
\(709\) | 28.2072 | + | 19.2313i | 1.05934 | + | 0.722248i | 0.962013 | − | 0.273004i | \(-0.0880174\pi\) |
0.0973301 | + | 0.995252i | \(0.468970\pi\) | |||||||
\(710\) | 0.878364 | − | 2.09567i | 0.0329644 | − | 0.0786490i | ||||
\(711\) | −7.98210 | + | 8.60265i | −0.299352 | + | 0.322625i | ||||
\(712\) | −30.4196 | + | 14.8795i | −1.14002 | + | 0.557632i | ||||
\(713\) | −0.690691 | − | 1.43423i | −0.0258666 | − | 0.0537125i | ||||
\(714\) | −16.4467 | + | 20.3563i | −0.615504 | + | 0.761817i | ||||
\(715\) | 2.83731 | − | 5.89172i | 0.106109 | − | 0.220338i | ||||
\(716\) | 9.32142 | − | 25.9394i | 0.348358 | − | 0.969402i | ||||
\(717\) | −7.28634 | − | 4.20677i | −0.272113 | − | 0.157105i | ||||
\(718\) | −14.6180 | + | 20.4202i | −0.545538 | + | 0.762075i | ||||
\(719\) | 22.6213 | + | 3.40961i | 0.843632 | + | 0.127157i | 0.556617 | − | 0.830769i | \(-0.312099\pi\) |
0.287015 | + | 0.957926i | \(0.407337\pi\) | |||||||
\(720\) | −4.59212 | + | 11.1472i | −0.171138 | + | 0.415433i | ||||
\(721\) | 24.6712 | − | 6.06163i | 0.918802 | − | 0.225747i | ||||
\(722\) | −8.07455 | + | 5.23849i | −0.300504 | + | 0.194956i | ||||
\(723\) | −7.78062 | + | 0.583077i | −0.289364 | + | 0.0216849i | ||||
\(724\) | −1.43217 | − | 3.35912i | −0.0532261 | − | 0.124841i | ||||
\(725\) | −0.530330 | − | 1.35126i | −0.0196959 | − | 0.0501845i | ||||
\(726\) | −19.5225 | − | 25.6643i | −0.724549 | − | 0.952491i | ||||
\(727\) | 9.74757 | + | 12.2231i | 0.361518 | + | 0.453329i | 0.929013 | − | 0.370048i | \(-0.120659\pi\) |
−0.567495 | + | 0.823377i | \(0.692087\pi\) | |||||||
\(728\) | 1.52049 | − | 2.34243i | 0.0563532 | − | 0.0868161i | ||||
\(729\) | 0.623490 | − | 0.781831i | 0.0230922 | − | 0.0289567i | ||||
\(730\) | 19.2352 | + | 0.440406i | 0.711926 | + | 0.0163001i | ||||
\(731\) | −3.06681 | + | 40.9237i | −0.113430 | + | 1.51362i | ||||
\(732\) | 2.37482 | + | 2.07860i | 0.0877757 | + | 0.0768273i | ||||
\(733\) | −4.51338 | − | 4.86427i | −0.166705 | − | 0.179666i | 0.644174 | − | 0.764879i | \(-0.277201\pi\) |
−0.810879 | + | 0.585213i | \(0.801011\pi\) | |||||||
\(734\) | 1.06141 | + | 2.89778i | 0.0391774 | + | 0.106959i | ||||
\(735\) | 11.3025 | − | 17.8153i | 0.416898 | − | 0.657127i | ||||
\(736\) | 0.191469 | + | 1.02460i | 0.00705763 | + | 0.0377674i | ||||
\(737\) | 36.1727 | − | 33.5634i | 1.33244 | − | 1.23632i | ||||
\(738\) | −9.22206 | + | 5.04650i | −0.339469 | + | 0.185764i | ||||
\(739\) | 34.6350 | + | 2.59553i | 1.27407 | + | 0.0954782i | 0.694528 | − | 0.719465i | \(-0.255613\pi\) |
0.579540 | + | 0.814944i | \(0.303232\pi\) | |||||||
\(740\) | 45.2803 | − | 15.4194i | 1.66454 | − | 0.566829i | ||||
\(741\) | 1.01885 | + | 0.812505i | 0.0374283 | + | 0.0298481i | ||||
\(742\) | −8.07169 | + | 0.553235i | −0.296321 | + | 0.0203099i | ||||
\(743\) | 3.91983 | − | 3.12596i | 0.143805 | − | 0.114680i | −0.548945 | − | 0.835858i | \(-0.684970\pi\) |
0.692750 | + | 0.721178i | \(0.256399\pi\) | |||||||
\(744\) | −23.8557 | − | 5.29140i | −0.874591 | − | 0.193992i | ||||
\(745\) | −32.5855 | + | 12.7889i | −1.19384 | + | 0.468548i | ||||
\(746\) | 1.90044 | + | 36.5788i | 0.0695799 | + | 1.33924i | ||||
\(747\) | 0.827946 | + | 11.0482i | 0.0302930 | + | 0.404232i | ||||
\(748\) | 65.0288 | + | 48.8408i | 2.37769 | + | 1.78580i | ||||
\(749\) | 1.94372 | − | 2.52173i | 0.0710218 | − | 0.0921418i | ||||
\(750\) | −0.493240 | − | 3.87188i | −0.0180106 | − | 0.141381i | ||||
\(751\) | 2.12749 | − | 14.1149i | 0.0776331 | − | 0.515062i | −0.915890 | − | 0.401430i | \(-0.868513\pi\) |
0.993523 | − | 0.113632i | \(-0.0362485\pi\) | |||||||
\(752\) | 11.5511 | + | 25.0521i | 0.421224 | + | 0.913555i | ||||
\(753\) | −13.9933 | + | 24.2371i | −0.509945 | + | 0.883250i | ||||
\(754\) | 0.143934 | + | 0.120275i | 0.00524177 | + | 0.00438016i | ||||
\(755\) | −36.8841 | − | 17.7625i | −1.34235 | − | 0.646442i | ||||
\(756\) | −0.635249 | − | 5.25323i | −0.0231038 | − | 0.191058i | ||||
\(757\) | 23.0791 | − | 11.1143i | 0.838824 | − | 0.403956i | 0.0354070 | − | 0.999373i | \(-0.488727\pi\) |
0.803417 | + | 0.595417i | \(0.203013\pi\) | |||||||
\(758\) | 2.61021 | + | 0.658971i | 0.0948072 | + | 0.0239349i | ||||
\(759\) | −0.785299 | − | 0.728651i | −0.0285045 | − | 0.0264484i | ||||
\(760\) | −28.3923 | + | 8.94864i | −1.02990 | + | 0.324601i | ||||
\(761\) | 6.66162 | − | 9.77080i | 0.241483 | − | 0.354191i | −0.686295 | − | 0.727324i | \(-0.740764\pi\) |
0.927778 | + | 0.373133i | \(0.121716\pi\) | |||||||
\(762\) | 6.19782 | − | 6.38031i | 0.224523 | − | 0.231134i | ||||
\(763\) | 4.36966 | + | 13.3772i | 0.158192 | + | 0.484286i | ||||
\(764\) | −8.14807 | − | 31.4617i | −0.294787 | − | 1.13825i | ||||
\(765\) | 10.5404 | + | 18.2565i | 0.381089 | + | 0.660066i | ||||
\(766\) | −2.77067 | − | 0.482714i | −0.100108 | − | 0.0174412i | ||||
\(767\) | 1.80938 | + | 2.65387i | 0.0653328 | + | 0.0958256i | ||||
\(768\) | 14.1746 | + | 7.42157i | 0.511483 | + | 0.267803i | ||||
\(769\) | −15.4222 | − | 3.52001i | −0.556138 | − | 0.126935i | −0.0647912 | − | 0.997899i | \(-0.520638\pi\) |
−0.491347 | + | 0.870964i | \(0.663495\pi\) | |||||||
\(770\) | −56.5715 | − | 33.1436i | −2.03870 | − | 1.19441i | ||||
\(771\) | 22.7705 | − | 5.19723i | 0.820061 | − | 0.187174i | ||||
\(772\) | 16.7163 | + | 16.9989i | 0.601631 | + | 0.611805i | ||||
\(773\) | −11.9031 | + | 38.5890i | −0.428126 | + | 1.38795i | 0.442838 | + | 0.896602i | \(0.353972\pi\) |
−0.870964 | + | 0.491348i | \(0.836504\pi\) | |||||||
\(774\) | −5.50325 | − | 6.21034i | −0.197810 | − | 0.223226i | ||||
\(775\) | −33.7176 | + | 10.4005i | −1.21117 | + | 0.373597i | ||||
\(776\) | 32.7705 | − | 5.14481i | 1.17639 | − | 0.184688i | ||||
\(777\) | −14.0237 | + | 15.6240i | −0.503098 | + | 0.560508i | ||||
\(778\) | 31.4045 | + | 10.4800i | 1.12590 | + | 0.375728i | ||||
\(779\) | −24.1634 | − | 9.48345i | −0.865745 | − | 0.339780i | ||||
\(780\) | −1.32061 | − | 1.82112i | −0.0472855 | − | 0.0652067i | ||||
\(781\) | 3.06474 | − | 0.461935i | 0.109665 | − | 0.0165293i | ||||
\(782\) | 1.62358 | + | 0.828177i | 0.0580589 | + | 0.0296156i | ||||
\(783\) | 0.355411 | 0.0127013 | ||||||||
\(784\) | −22.1726 | − | 17.0990i | −0.791879 | − | 0.610677i | ||||
\(785\) | 30.2610 | 1.08006 | ||||||||
\(786\) | −13.3375 | − | 6.80340i | −0.475733 | − | 0.242669i | ||||
\(787\) | 10.3994 | − | 1.56745i | 0.370697 | − | 0.0558736i | 0.0389481 | − | 0.999241i | \(-0.487599\pi\) |
0.331749 | + | 0.943368i | \(0.392361\pi\) | |||||||
\(788\) | −23.6735 | − | 32.6457i | −0.843332 | − | 1.16296i | ||||
\(789\) | 23.0305 | + | 9.03881i | 0.819908 | + | 0.321790i | ||||
\(790\) | 47.4493 | + | 15.8344i | 1.68817 | + | 0.563363i | ||||
\(791\) | 17.3513 | − | 7.14295i | 0.616940 | − | 0.253974i | ||||
\(792\) | −16.2451 | + | 2.55041i | −0.577246 | + | 0.0906247i | ||||
\(793\) | −0.562720 | + | 0.173576i | −0.0199828 | + | 0.00616387i | ||||
\(794\) | 11.3473 | + | 12.8053i | 0.402702 | + | 0.454443i | ||||
\(795\) | −1.92099 | + | 6.22770i | −0.0681305 | + | 0.220874i | ||||
\(796\) | 8.52884 | + | 8.67306i | 0.302297 | + | 0.307408i | ||||
\(797\) | 34.0808 | − | 7.77873i | 1.20720 | − | 0.275537i | 0.428858 | − | 0.903372i | \(-0.358916\pi\) |
0.778346 | + | 0.627835i | \(0.216059\pi\) | |||||||
\(798\) | 8.94787 | − | 9.52120i | 0.316751 | − | 0.337047i | ||||
\(799\) | 47.0280 | + | 10.7338i | 1.66373 | + | 0.379736i | ||||
\(800\) | 23.0900 | − | 0.811725i | 0.816354 | − | 0.0286988i | ||||
\(801\) | −6.74442 | − | 9.89224i | −0.238302 | − | 0.349525i | ||||
\(802\) | −39.5973 | − | 6.89875i | −1.39823 | − | 0.243603i | ||||
\(803\) | 13.1215 | + | 22.7272i | 0.463049 | + | 0.802025i | ||||
\(804\) | −4.25584 | − | 16.4329i | −0.150092 | − | 0.579543i | ||||
\(805\) | −1.37648 | − | 0.514144i | −0.0485144 | − | 0.0181212i | ||||
\(806\) | 3.17690 | − | 3.27045i | 0.111902 | − | 0.115197i | ||||
\(807\) | 2.53006 | − | 3.71091i | 0.0890622 | − | 0.130630i | ||||
\(808\) | −25.7053 | + | 8.10177i | −0.904309 | + | 0.285019i | ||||
\(809\) | −3.80767 | − | 3.53300i | −0.133871 | − | 0.124214i | 0.610396 | − | 0.792096i | \(-0.291010\pi\) |
−0.744267 | + | 0.667883i | \(0.767201\pi\) | |||||||
\(810\) | −4.13279 | − | 1.04336i | −0.145212 | − | 0.0366599i | ||||
\(811\) | −23.3830 | + | 11.2606i | −0.821087 | + | 0.395415i | −0.796765 | − | 0.604289i | \(-0.793457\pi\) |
−0.0243223 | + | 0.999704i | \(0.507743\pi\) | |||||||
\(812\) | 1.31895 | − | 1.34061i | 0.0462862 | − | 0.0470461i | ||||
\(813\) | 5.73958 | + | 2.76404i | 0.201296 | + | 0.0969390i | ||||
\(814\) | 50.0652 | + | 41.8358i | 1.75478 | + | 1.46634i | ||||
\(815\) | 8.57006 | − | 14.8438i | 0.300196 | − | 0.519955i | ||||
\(816\) | 25.4064 | − | 11.7144i | 0.889403 | − | 0.410088i | ||||
\(817\) | 3.05375 | − | 20.2603i | 0.106837 | − | 0.708819i | ||||
\(818\) | −5.16897 | − | 40.5759i | −0.180729 | − | 1.41870i | ||||
\(819\) | 0.896528 | + | 0.413636i | 0.0313272 | + | 0.0144536i | ||||
\(820\) | 35.8291 | + | 26.9100i | 1.25121 | + | 0.939738i | ||||
\(821\) | −0.681531 | − | 9.09440i | −0.0237856 | − | 0.317397i | −0.996388 | − | 0.0849207i | \(-0.972936\pi\) |
0.972602 | − | 0.232476i | \(-0.0746827\pi\) | |||||||
\(822\) | 1.49453 | + | 28.7660i | 0.0521276 | + | 1.00333i | ||||
\(823\) | 21.6942 | − | 8.51434i | 0.756212 | − | 0.296791i | 0.0442604 | − | 0.999020i | \(-0.485907\pi\) |
0.711951 | + | 0.702229i | \(0.247812\pi\) | |||||||
\(824\) | −26.5146 | − | 5.88117i | −0.923679 | − | 0.204880i | ||||
\(825\) | −18.5650 | + | 14.8051i | −0.646351 | + | 0.515448i | ||||
\(826\) | 27.9918 | − | 15.9243i | 0.973961 | − | 0.554079i | ||||
\(827\) | 3.86065 | + | 3.07877i | 0.134248 | + | 0.107059i | 0.688312 | − | 0.725415i | \(-0.258352\pi\) |
−0.554064 | + | 0.832474i | \(0.686924\pi\) | |||||||
\(828\) | −0.348851 | + | 0.118795i | −0.0121234 | + | 0.00412841i | ||||
\(829\) | −36.9238 | − | 2.76706i | −1.28242 | − | 0.0961039i | −0.583976 | − | 0.811771i | \(-0.698504\pi\) |
−0.698442 | + | 0.715667i | \(0.746123\pi\) | |||||||
\(830\) | 41.4274 | − | 22.6699i | 1.43796 | − | 0.786884i | ||||
\(831\) | 5.52392 | − | 5.12545i | 0.191623 | − | 0.177800i | ||||
\(832\) | −2.56701 | + | 1.52429i | −0.0889950 | + | 0.0528451i | ||||
\(833\) | −47.3462 | + | 12.4659i | −1.64045 | + | 0.431918i | ||||
\(834\) | 9.88370 | + | 26.9837i | 0.342245 | + | 0.934370i | ||||
\(835\) | −30.6017 | − | 32.9807i | −1.05901 | − | 1.14135i | ||||
\(836\) | −30.5537 | − | 26.7427i | −1.05672 | − | 0.924915i | ||||
\(837\) | 0.645611 | − | 8.61508i | 0.0223156 | − | 0.297781i | ||||
\(838\) | −43.1681 | − | 0.988369i | −1.49122 | − | 0.0341427i | ||||
\(839\) | −27.9725 | + | 35.0764i | −0.965719 | + | 1.21097i | 0.0117580 | + | 0.999931i | \(0.496257\pi\) |
−0.977477 | + | 0.211042i | \(0.932314\pi\) | |||||||
\(840\) | −19.2726 | + | 11.7169i | −0.664969 | + | 0.404271i | ||||
\(841\) | −18.0024 | − | 22.5744i | −0.620774 | − | 0.778426i | ||||
\(842\) | −1.44884 | − | 1.90465i | −0.0499304 | − | 0.0656384i | ||||
\(843\) | 11.0880 | + | 28.2519i | 0.381892 | + | 0.973046i | ||||
\(844\) | −20.6784 | − | 48.5008i | −0.711781 | − | 1.66947i | ||||
\(845\) | −38.6541 | + | 2.89672i | −1.32974 | + | 0.0996503i | ||||
\(846\) | −8.18231 | + | 5.30840i | −0.281314 | + | 0.182506i | ||||
\(847\) | −0.996852 | − | 60.3179i | −0.0342522 | − | 2.07255i | ||||
\(848\) | 7.99724 | + | 3.29448i | 0.274627 | + | 0.113133i | ||||
\(849\) | 4.60938 | + | 0.694753i | 0.158194 | + | 0.0238439i | ||||
\(850\) | 23.5158 | − | 32.8498i | 0.806586 | − | 1.12674i | ||||
\(851\) | 1.26626 | + | 0.731078i | 0.0434070 | + | 0.0250610i | ||||
\(852\) | 0.360565 | − | 1.00337i | 0.0123528 | − | 0.0343750i | ||||
\(853\) | −10.6721 | + | 22.1609i | −0.365407 | + | 0.758776i | −0.999900 | − | 0.0141528i | \(-0.995495\pi\) |
0.634492 | + | 0.772929i | \(0.281209\pi\) | |||||||
\(854\) | 1.27716 | + | 5.76455i | 0.0437036 | + | 0.197259i | ||||
\(855\) | −4.56661 | − | 9.48267i | −0.156175 | − | 0.324300i | ||||
\(856\) | −3.05754 | + | 1.49557i | −0.104505 | + | 0.0511176i | ||||
\(857\) | −19.3334 | + | 20.8365i | −0.660417 | + | 0.711760i | −0.971079 | − | 0.238760i | \(-0.923259\pi\) |
0.310661 | + | 0.950521i | \(0.399449\pi\) | |||||||
\(858\) | 1.18607 | − | 2.82982i | 0.0404918 | − | 0.0966085i | ||||
\(859\) | 4.19091 | + | 2.85731i | 0.142992 | + | 0.0974903i | 0.632703 | − | 0.774394i | \(-0.281945\pi\) |
−0.489711 | + | 0.871885i | \(0.662898\pi\) | |||||||
\(860\) | −14.4151 | + | 32.2983i | −0.491552 | + | 1.10136i | ||||
\(861\) | −19.4933 | − | 2.60948i | −0.664329 | − | 0.0889308i | ||||
\(862\) | 41.7760 | + | 4.09420i | 1.42290 | + | 0.139449i | ||||
\(863\) | 31.0042 | − | 17.9003i | 1.05539 | − | 0.609332i | 0.131239 | − | 0.991351i | \(-0.458104\pi\) |
0.924155 | + | 0.382019i | \(0.124771\pi\) | |||||||
\(864\) | −1.88040 | + | 5.33518i | −0.0639725 | + | 0.181506i | ||||
\(865\) | −7.11903 | + | 4.85367i | −0.242054 | + | 0.165030i | ||||
\(866\) | 54.0486 | − | 11.0411i | 1.83665 | − | 0.375190i | ||||
\(867\) | 7.10280 | − | 31.1194i | 0.241224 | − | 1.05687i | ||||
\(868\) | −30.1001 | − | 34.4064i | −1.02167 | − | 1.16783i | ||||
\(869\) | 15.1822 | + | 66.5175i | 0.515020 | + | 2.25645i | ||||
\(870\) | −0.625887 | − | 1.37959i | −0.0212195 | − | 0.0467724i | ||||
\(871\) | 3.02667 | + | 0.933605i | 0.102555 | + | 0.0316340i | ||||
\(872\) | 2.15110 | − | 14.8898i | 0.0728456 | − | 0.504233i | ||||
\(873\) | 3.45690 | + | 11.2070i | 0.116998 | + | 0.379299i | ||||
\(874\) | −0.777432 | − | 0.472902i | −0.0262970 | − | 0.0159961i | ||||
\(875\) | 3.54608 | − | 6.38333i | 0.119880 | − | 0.215796i | ||||
\(876\) | 9.02394 | − | 0.261913i | 0.304891 | − | 0.00884923i | ||||
\(877\) | −18.2523 | + | 46.5062i | −0.616338 | + | 1.57040i | 0.191816 | + | 0.981431i | \(0.438562\pi\) |
−0.808154 | + | 0.588972i | \(0.799533\pi\) | |||||||
\(878\) | −25.6444 | + | 7.27173i | −0.865455 | + | 0.245409i | ||||
\(879\) | −0.402033 | − | 2.66732i | −0.0135603 | − | 0.0899664i | ||||
\(880\) | 38.5079 | + | 58.5670i | 1.29810 | + | 1.97429i | ||||
\(881\) | 38.0213i | 1.28097i | 0.767970 | + | 0.640486i | \(0.221267\pi\) | ||||
−0.767970 | + | 0.640486i | \(0.778733\pi\) | |||||||
\(882\) | 4.86240 | − | 8.62305i | 0.163726 | − | 0.290353i | ||||
\(883\) | − | 42.9570i | − | 1.44562i | −0.691048 | − | 0.722809i | \(-0.742851\pi\) | ||
0.691048 | − | 0.722809i | \(-0.257149\pi\) | |||||||
\(884\) | −0.627955 | + | 5.18237i | −0.0211204 | + | 0.174302i | ||||
\(885\) | −3.86640 | − | 25.6519i | −0.129968 | − | 0.862279i | ||||
\(886\) | −7.72135 | − | 27.2300i | −0.259404 | − | 0.914809i | ||||
\(887\) | 0.296936 | − | 0.756580i | 0.00997013 | − | 0.0254035i | −0.925802 | − | 0.378009i | \(-0.876609\pi\) |
0.935772 | + | 0.352605i | \(0.114704\pi\) | |||||||
\(888\) | 20.8421 | − | 8.32758i | 0.699415 | − | 0.279455i | ||||
\(889\) | 16.4120 | − | 2.75179i | 0.550439 | − | 0.0922922i | ||||
\(890\) | −26.5214 | + | 43.6001i | −0.888998 | + | 1.46148i | ||||
\(891\) | −1.71367 | − | 5.55558i | −0.0574101 | − | 0.186119i | ||||
\(892\) | 20.4171 | + | 11.0107i | 0.683615 | + | 0.368666i | ||||
\(893\) | −23.0134 | − | 7.09870i | −0.770114 | − | 0.237549i | ||||
\(894\) | −14.9576 | + | 6.78591i | −0.500257 | + | 0.226955i | ||||
\(895\) | −9.24315 | − | 40.4969i | −0.308964 | − | 1.35366i | ||||
\(896\) | 13.1460 | + | 26.8921i | 0.439176 | + | 0.898401i | ||||
\(897\) | 0.0153013 | − | 0.0670392i | 0.000510894 | − | 0.00223837i | ||||
\(898\) | 1.18030 | + | 5.77787i | 0.0393873 | + | 0.192810i | ||||
\(899\) | 2.53695 | − | 1.72966i | 0.0846120 | − | 0.0576875i | ||||
\(900\) | 1.45129 | + | 8.03863i | 0.0483764 | + | 0.267954i | ||||
\(901\) | 13.0976 | − | 7.56189i | 0.436344 | − | 0.251923i | ||||
\(902\) | −5.96128 | + | 60.8272i | −0.198489 | + | 2.02532i | ||||
\(903\) | −1.41574 | − | 15.4591i | −0.0471129 | − | 0.514448i | ||||
\(904\) | −20.0123 | − | 1.37652i | −0.665599 | − | 0.0457824i | ||||
\(905\) | −4.54689 | − | 3.10002i | −0.151144 | − | 0.103048i | ||||
\(906\) | −17.7156 | − | 7.42520i | −0.588562 | − | 0.246686i | ||||
\(907\) | −17.1604 | + | 18.4945i | −0.569802 | + | 0.614101i | −0.950548 | − | 0.310579i | \(-0.899477\pi\) |
0.380745 | + | 0.924680i | \(0.375667\pi\) | |||||||
\(908\) | 25.0336 | − | 2.60826i | 0.830769 | − | 0.0865582i | ||||
\(909\) | −4.13444 | − | 8.58525i | −0.137131 | − | 0.284755i | ||||
\(910\) | 0.0267944 | − | 4.20845i | 0.000888227 | − | 0.139509i | ||||
\(911\) | 2.33956 | − | 4.85814i | 0.0775130 | − | 0.160957i | −0.858611 | − | 0.512628i | \(-0.828672\pi\) |
0.936124 | + | 0.351671i | \(0.114386\pi\) | |||||||
\(912\) | −13.0862 | + | 4.88437i | −0.433328 | + | 0.161738i | ||||
\(913\) | 55.7831 | + | 32.2064i | 1.84615 | + | 1.06588i | ||||
\(914\) | 33.9147 | + | 24.2782i | 1.12180 | + | 0.803050i | ||||
\(915\) | 4.70300 | + | 0.708862i | 0.155476 | + | 0.0234343i | ||||
\(916\) | 35.7229 | − | 18.4987i | 1.18032 | − | 0.611213i | ||||
\(917\) | −12.5689 | − | 25.0327i | −0.415061 | − | 0.826654i | ||||
\(918\) | 5.38348 | + | 8.29804i | 0.177681 | + | 0.273876i | ||||
\(919\) | −32.9586 | + | 2.46991i | −1.08721 | + | 0.0814748i | −0.606253 | − | 0.795272i | \(-0.707328\pi\) |
−0.480952 | + | 0.876747i | \(0.659709\pi\) | |||||||
\(920\) | 1.07546 | + | 1.14492i | 0.0354568 | + | 0.0377470i | ||||
\(921\) | −2.39622 | − | 6.10548i | −0.0789583 | − | 0.201182i | ||||
\(922\) | −22.8954 | + | 17.4163i | −0.754021 | + | 0.573575i | ||||
\(923\) | 0.124038 | + | 0.155539i | 0.00408277 | + | 0.00511964i | ||||
\(924\) | −27.3152 | − | 14.1532i | −0.898603 | − | 0.465606i | ||||
\(925\) | 20.2071 | − | 25.3390i | 0.664407 | − | 0.833140i | ||||
\(926\) | 1.23522 | − | 53.9495i | 0.0405919 | − | 1.77289i | ||||
\(927\) | 0.717570 | − | 9.57530i | 0.0235681 | − | 0.314494i | ||||
\(928\) | −1.89918 | + | 0.659739i | −0.0623436 | + | 0.0216570i | ||||
\(929\) | 11.3245 | + | 12.2049i | 0.371544 | + | 0.400430i | 0.890952 | − | 0.454097i | \(-0.150038\pi\) |
−0.519408 | + | 0.854526i | \(0.673847\pi\) | |||||||
\(930\) | −34.5779 | + | 12.6653i | −1.13385 | + | 0.415312i | ||||
\(931\) | 24.0374 | − | 4.43992i | 0.787795 | − | 0.145513i | ||||
\(932\) | −2.37590 | + | 2.01020i | −0.0778252 | + | 0.0658464i | ||||
\(933\) | −2.15815 | + | 2.00247i | −0.0706545 | + | 0.0655578i | ||||
\(934\) | −9.27576 | − | 16.9507i | −0.303512 | − | 0.554643i | ||||
\(935\) | 122.219 | + | 9.15901i | 3.99697 | + | 0.299532i | ||||
\(936\) | −0.663148 | − | 0.821193i | −0.0216757 | − | 0.0268415i | ||||
\(937\) | −2.55001 | − | 2.03356i | −0.0833051 | − | 0.0664336i | 0.580952 | − | 0.813938i | \(-0.302680\pi\) |
−0.664257 | + | 0.747504i | \(0.731252\pi\) | |||||||
\(938\) | 11.7902 | − | 29.4876i | 0.384965 | − | 0.962805i | ||||
\(939\) | 12.3368 | − | 9.83827i | 0.402596 | − | 0.321060i | ||||
\(940\) | 35.0147 | + | 22.4128i | 1.14205 | + | 0.731026i | ||||
\(941\) | −38.2381 | + | 15.0074i | −1.24653 | + | 0.489226i | −0.894628 | − | 0.446812i | \(-0.852559\pi\) |
−0.351900 | + | 0.936038i | \(0.614464\pi\) | |||||||
\(942\) | 14.1797 | − | 0.736701i | 0.461999 | − | 0.0240030i | ||||
\(943\) | 0.102358 | + | 1.36588i | 0.00333324 | + | 0.0444790i | ||||
\(944\) | −34.3701 | + | 1.99681i | −1.11865 | + | 0.0649908i | ||||
\(945\) | −5.07426 | − | 6.15158i | −0.165066 | − | 0.200111i | ||||
\(946\) | −47.8558 | + | 6.09636i | −1.55593 | + | 0.198210i | ||||
\(947\) | 3.43286 | − | 22.7755i | 0.111553 | − | 0.740106i | −0.861201 | − | 0.508265i | \(-0.830287\pi\) |
0.972754 | − | 0.231841i | \(-0.0744748\pi\) | |||||||
\(948\) | 22.6193 | + | 6.26454i | 0.734641 | + | 0.203463i | ||||
\(949\) | −0.842249 | + | 1.45882i | −0.0273406 | + | 0.0473553i | ||||
\(950\) | −12.9335 | + | 15.4776i | −0.419618 | + | 0.502159i | ||||
\(951\) | 13.6813 | + | 6.58859i | 0.443648 | + | 0.213650i | ||||
\(952\) | 51.2787 | + | 10.4882i | 1.66195 | + | 0.339923i | ||||
\(953\) | −14.2238 | + | 6.84984i | −0.460755 | + | 0.221888i | −0.649837 | − | 0.760073i | \(-0.725163\pi\) |
0.189082 | + | 0.981961i | \(0.439449\pi\) | |||||||
\(954\) | −0.748526 | + | 2.96494i | −0.0242344 | + | 0.0959936i | ||||
\(955\) | −35.9029 | − | 33.3130i | −1.16179 | − | 1.07798i | ||||
\(956\) | −0.770137 | + | 16.8094i | −0.0249080 | + | 0.543656i | ||||
\(957\) | 1.16400 | − | 1.70727i | 0.0376266 | − | 0.0551882i | ||||
\(958\) | 32.7807 | + | 31.8430i | 1.05910 | + | 1.02880i | ||||
\(959\) | −29.6168 | + | 45.0206i | −0.956376 | + | 1.45379i | ||||
\(960\) | 24.0208 | − | 2.09627i | 0.775269 | − | 0.0676569i | ||||
\(961\) | −21.8182 | − | 37.7903i | −0.703814 | − | 1.21904i | ||||
\(962\) | −0.718799 | + | 4.12574i | −0.0231750 | + | 0.133019i | ||||
\(963\) | −0.677897 | − | 0.994292i | −0.0218449 | − | 0.0320406i | ||||
\(964\) | 8.19123 | + | 13.2822i | 0.263822 | + | 0.427790i | ||||
\(965\) | 35.0279 | + | 7.99489i | 1.12759 | + | 0.257364i | ||||
\(966\) | −0.657506 | − | 0.207407i | −0.0211549 | − | 0.00667322i | ||||
\(967\) | 55.0327 | − | 12.5609i | 1.76973 | − | 0.403930i | 0.791455 | − | 0.611227i | \(-0.209324\pi\) |
0.978278 | + | 0.207297i | \(0.0664666\pi\) | |||||||
\(968\) | −27.6254 | + | 58.2750i | −0.887913 | + | 1.87303i | ||||
\(969\) | −7.19911 | + | 23.3389i | −0.231269 | + | 0.749754i | ||||
\(970\) | 37.4142 | − | 33.1543i | 1.20130 | − | 1.06452i | ||||
\(971\) | 19.1617 | − | 5.91060i | 0.614928 | − | 0.189680i | 0.0283837 | − | 0.999597i | \(-0.490964\pi\) |
0.586545 | + | 0.809917i | \(0.300488\pi\) | |||||||
\(972\) | −1.96195 | − | 0.388285i | −0.0629295 | − | 0.0124543i | ||||
\(973\) | −14.9955 | + | 51.6281i | −0.480733 | + | 1.65512i | ||||
\(974\) | 10.4252 | − | 31.2402i | 0.334045 | − | 1.00100i | ||||
\(975\) | −1.41883 | − | 0.556848i | −0.0454388 | − | 0.0178334i | ||||
\(976\) | 1.50753 | − | 6.12933i | 0.0482550 | − | 0.196195i | ||||
\(977\) | 8.74183 | − | 1.31762i | 0.279676 | − | 0.0421544i | −0.00770642 | − | 0.999970i | \(-0.502453\pi\) |
0.287382 | + | 0.957816i | \(0.407215\pi\) | |||||||
\(978\) | 3.65439 | − | 7.16414i | 0.116855 | − | 0.229084i | ||||
\(979\) | −69.6073 | −2.22466 | ||||||||
\(980\) | −42.0347 | − | 3.68886i | −1.34275 | − | 0.117836i | ||||
\(981\) | 5.31900 | 0.169823 | ||||||||
\(982\) | 19.4906 | − | 38.2097i | 0.621969 | − | 1.21932i | ||||
\(983\) | 27.5932 | − | 4.15900i | 0.880086 | − | 0.132652i | 0.306572 | − | 0.951847i | \(-0.400818\pi\) |
0.573514 | + | 0.819196i | \(0.305580\pi\) | |||||||
\(984\) | 17.4439 | + | 11.7372i | 0.556093 | + | 0.374169i | ||||
\(985\) | −56.5705 | − | 22.2023i | −1.80249 | − | 0.707424i | ||||
\(986\) | −1.11284 | + | 3.33472i | −0.0354399 | + | 0.106199i | ||||
\(987\) | −18.2160 | − | 1.06274i | −0.579822 | − | 0.0338272i | ||||
\(988\) | 0.505996 | − | 2.55672i | 0.0160979 | − | 0.0813402i | ||||
\(989\) | −1.03311 | + | 0.318673i | −0.0328511 | + | 0.0101332i | ||||
\(990\) | −18.5471 | + | 16.4354i | −0.589467 | + | 0.522352i | ||||
\(991\) | 3.63978 | − | 11.7999i | 0.115621 | − | 0.374835i | −0.879203 | − | 0.476448i | \(-0.841924\pi\) |
0.994824 | + | 0.101613i | \(0.0324002\pi\) | |||||||
\(992\) | 12.5420 | + | 47.2341i | 0.398210 | + | 1.49969i | ||||
\(993\) | −12.1022 | + | 2.76224i | −0.384051 | + | 0.0876571i | ||||
\(994\) | 1.65519 | − | 1.11312i | 0.0524994 | − | 0.0353059i | ||||
\(995\) | 17.8717 | + | 4.07909i | 0.566569 | + | 0.129316i | ||||
\(996\) | 18.8602 | − | 11.6312i | 0.597607 | − | 0.368549i | ||||
\(997\) | −25.3452 | − | 37.1746i | −0.802691 | − | 1.17733i | −0.981124 | − | 0.193379i | \(-0.938055\pi\) |
0.178434 | − | 0.983952i | \(-0.442897\pi\) | |||||||
\(998\) | −0.354299 | + | 2.03360i | −0.0112151 | + | 0.0643724i | ||||
\(999\) | 3.96761 | + | 6.87210i | 0.125530 | + | 0.217424i |
(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 | 588.2.ba.b.283.5 | yes | 336 | |
4.3 | odd | 2 | 588.2.ba.a.283.18 | yes | 336 | ||
49.40 | odd | 42 | 588.2.ba.a.187.18 | ✓ | 336 | ||
196.187 | even | 42 | inner | 588.2.ba.b.187.5 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
588.2.ba.a.187.18 | ✓ | 336 | 49.40 | odd | 42 | ||
588.2.ba.a.283.18 | yes | 336 | 4.3 | odd | 2 | ||
588.2.ba.b.187.5 | yes | 336 | 196.187 | even | 42 | inner | |
588.2.ba.b.283.5 | yes | 336 | 1.1 | even | 1 | trivial |