Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(7,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([0, 11, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.w (of order \(44\), degree \(20\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 373.6 | ||
Character | \(\chi\) | \(=\) | 690.373 |
Dual form | 690.2.w.b.37.6 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(1\) | \(e\left(\frac{1}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.877679 | + | 0.479249i | −0.620613 | + | 0.338880i | ||||
\(3\) | 0.997452 | − | 0.0713392i | 0.575879 | − | 0.0411877i | ||||
\(4\) | 0.540641 | − | 0.841254i | 0.270320 | − | 0.420627i | ||||
\(5\) | 2.18586 | + | 0.471182i | 0.977547 | + | 0.210719i | ||||
\(6\) | −0.841254 | + | 0.540641i | −0.343440 | + | 0.220716i | ||||
\(7\) | 1.33355 | − | 3.57540i | 0.504036 | − | 1.35137i | −0.397075 | − | 0.917786i | \(-0.629975\pi\) |
0.901111 | − | 0.433588i | \(-0.142753\pi\) | |||||||
\(8\) | −0.0713392 | + | 0.997452i | −0.0252222 | + | 0.352653i | ||||
\(9\) | 0.989821 | − | 0.142315i | 0.329940 | − | 0.0474383i | ||||
\(10\) | −2.14430 | + | 0.634025i | −0.678086 | + | 0.200496i | ||||
\(11\) | 0.274213 | + | 0.933883i | 0.0826783 | + | 0.281576i | 0.990447 | − | 0.137895i | \(-0.0440336\pi\) |
−0.907769 | + | 0.419471i | \(0.862215\pi\) | |||||||
\(12\) | 0.479249 | − | 0.877679i | 0.138347 | − | 0.253364i | ||||
\(13\) | −0.363351 | + | 0.135523i | −0.100776 | + | 0.0375873i | −0.399346 | − | 0.916800i | \(-0.630763\pi\) |
0.298571 | + | 0.954388i | \(0.403490\pi\) | |||||||
\(14\) | 0.543073 | + | 3.77716i | 0.145142 | + | 1.00949i | ||||
\(15\) | 2.21391 | + | 0.314044i | 0.571628 | + | 0.0810859i | ||||
\(16\) | −0.415415 | − | 0.909632i | −0.103854 | − | 0.227408i | ||||
\(17\) | 6.16390 | + | 1.34087i | 1.49496 | + | 0.325210i | 0.884390 | − | 0.466749i | \(-0.154575\pi\) |
0.610574 | + | 0.791959i | \(0.290939\pi\) | |||||||
\(18\) | −0.800541 | + | 0.599278i | −0.188689 | + | 0.141251i | ||||
\(19\) | −4.73875 | − | 3.04541i | −1.08714 | − | 0.698665i | −0.130947 | − | 0.991389i | \(-0.541802\pi\) |
−0.956197 | + | 0.292725i | \(0.905438\pi\) | |||||||
\(20\) | 1.57815 | − | 1.58412i | 0.352885 | − | 0.354221i | ||||
\(21\) | 1.07509 | − | 3.66142i | 0.234604 | − | 0.798988i | ||||
\(22\) | −0.688234 | − | 0.688234i | −0.146732 | − | 0.146732i | ||||
\(23\) | −3.01793 | − | 3.72721i | −0.629282 | − | 0.777177i | ||||
\(24\) | 1.00000i | 0.204124i | ||||||||
\(25\) | 4.55597 | + | 2.05988i | 0.911195 | + | 0.411976i | ||||
\(26\) | 0.253957 | − | 0.293081i | 0.0498050 | − | 0.0574780i | ||||
\(27\) | 0.977147 | − | 0.212565i | 0.188052 | − | 0.0409082i | ||||
\(28\) | −2.28684 | − | 3.05486i | −0.432173 | − | 0.577315i | ||||
\(29\) | −1.75012 | − | 2.72324i | −0.324989 | − | 0.505692i | 0.639862 | − | 0.768490i | \(-0.278991\pi\) |
−0.964851 | + | 0.262797i | \(0.915355\pi\) | |||||||
\(30\) | −2.09360 | + | 0.785382i | −0.382238 | + | 0.143390i | ||||
\(31\) | 0.0490589 | + | 0.0566169i | 0.00881123 | + | 0.0101687i | 0.760138 | − | 0.649762i | \(-0.225131\pi\) |
−0.751327 | + | 0.659930i | \(0.770586\pi\) | |||||||
\(32\) | 0.800541 | + | 0.599278i | 0.141517 | + | 0.105938i | ||||
\(33\) | 0.340137 | + | 0.911942i | 0.0592102 | + | 0.158749i | ||||
\(34\) | −6.05253 | + | 1.77718i | −1.03800 | + | 0.304785i | ||||
\(35\) | 4.59963 | − | 7.18698i | 0.777479 | − | 1.21482i | ||||
\(36\) | 0.415415 | − | 0.909632i | 0.0692358 | − | 0.151605i | ||||
\(37\) | −5.11516 | + | 6.83305i | −0.840927 | + | 1.12335i | 0.149965 | + | 0.988691i | \(0.452084\pi\) |
−0.990892 | + | 0.134656i | \(0.957007\pi\) | |||||||
\(38\) | 5.61861 | + | 0.401851i | 0.911459 | + | 0.0651888i | ||||
\(39\) | −0.352757 | + | 0.161099i | −0.0564864 | + | 0.0257965i | ||||
\(40\) | −0.625919 | + | 2.14668i | −0.0989665 | + | 0.339420i | ||||
\(41\) | 0.842836 | − | 5.86205i | 0.131629 | − | 0.915499i | −0.811803 | − | 0.583932i | \(-0.801514\pi\) |
0.943432 | − | 0.331567i | \(-0.107577\pi\) | |||||||
\(42\) | 0.811149 | + | 3.72879i | 0.125163 | + | 0.575365i | ||||
\(43\) | 0.138451 | + | 1.93580i | 0.0211136 | + | 0.295207i | 0.997027 | + | 0.0770499i | \(0.0245501\pi\) |
−0.975914 | + | 0.218157i | \(0.929995\pi\) | |||||||
\(44\) | 0.933883 | + | 0.274213i | 0.140788 | + | 0.0413392i | ||||
\(45\) | 2.23067 | + | 0.155306i | 0.332528 | + | 0.0231516i | ||||
\(46\) | 4.43504 | + | 1.82495i | 0.653910 | + | 0.269075i | ||||
\(47\) | −7.27937 | + | 7.27937i | −1.06181 | + | 1.06181i | −0.0638453 | + | 0.997960i | \(0.520336\pi\) |
−0.997960 | + | 0.0638453i | \(0.979664\pi\) | |||||||
\(48\) | −0.479249 | − | 0.877679i | −0.0691736 | − | 0.126682i | ||||
\(49\) | −5.71486 | − | 4.95196i | −0.816409 | − | 0.707422i | ||||
\(50\) | −4.98588 | + | 0.375535i | −0.705110 | + | 0.0531086i | ||||
\(51\) | 6.24385 | + | 0.897730i | 0.874313 | + | 0.125707i | ||||
\(52\) | −0.0824333 | + | 0.378940i | −0.0114314 | + | 0.0525495i | ||||
\(53\) | 11.9363 | + | 4.45203i | 1.63958 | + | 0.611533i | 0.989002 | − | 0.147903i | \(-0.0472525\pi\) |
0.650582 | + | 0.759436i | \(0.274525\pi\) | |||||||
\(54\) | −0.755750 | + | 0.654861i | −0.102844 | + | 0.0891153i | ||||
\(55\) | 0.159362 | + | 2.17054i | 0.0214884 | + | 0.292676i | ||||
\(56\) | 3.47115 | + | 1.58522i | 0.463853 | + | 0.211834i | ||||
\(57\) | −4.94393 | − | 2.69959i | −0.654840 | − | 0.357569i | ||||
\(58\) | 2.84115 | + | 1.55139i | 0.373061 | + | 0.203707i | ||||
\(59\) | 11.1289 | + | 5.08238i | 1.44886 | + | 0.661670i | 0.975660 | − | 0.219288i | \(-0.0703733\pi\) |
0.473195 | + | 0.880958i | \(0.343101\pi\) | |||||||
\(60\) | 1.46112 | − | 1.69267i | 0.188630 | − | 0.218523i | ||||
\(61\) | 5.42228 | − | 4.69843i | 0.694251 | − | 0.601572i | −0.234570 | − | 0.972099i | \(-0.575368\pi\) |
0.928822 | + | 0.370527i | \(0.120823\pi\) | |||||||
\(62\) | −0.0701916 | − | 0.0261801i | −0.00891434 | − | 0.00332488i | ||||
\(63\) | 0.811149 | − | 3.72879i | 0.102195 | − | 0.469784i | ||||
\(64\) | −0.989821 | − | 0.142315i | −0.123728 | − | 0.0177894i | ||||
\(65\) | −0.858092 | + | 0.125030i | −0.106433 | + | 0.0155080i | ||||
\(66\) | −0.735578 | − | 0.637382i | −0.0905434 | − | 0.0784563i | ||||
\(67\) | −2.25028 | − | 4.12107i | −0.274915 | − | 0.503469i | 0.703346 | − | 0.710848i | \(-0.251689\pi\) |
−0.978261 | + | 0.207379i | \(0.933507\pi\) | |||||||
\(68\) | 4.46047 | − | 4.46047i | 0.540911 | − | 0.540911i | ||||
\(69\) | −3.27614 | − | 3.50242i | −0.394401 | − | 0.421642i | ||||
\(70\) | −0.592647 | + | 8.51223i | −0.0708349 | + | 1.01741i | ||||
\(71\) | −3.89999 | − | 1.14514i | −0.462844 | − | 0.135903i | 0.0419930 | − | 0.999118i | \(-0.486629\pi\) |
−0.504837 | + | 0.863215i | \(0.668447\pi\) | |||||||
\(72\) | 0.0713392 | + | 0.997452i | 0.00840740 | + | 0.117551i | ||||
\(73\) | 0.475950 | + | 2.18791i | 0.0557058 | + | 0.256075i | 0.996575 | − | 0.0826949i | \(-0.0263527\pi\) |
−0.940869 | + | 0.338770i | \(0.889989\pi\) | |||||||
\(74\) | 1.21473 | − | 8.44866i | 0.141210 | − | 0.982137i | ||||
\(75\) | 4.69132 | + | 1.72961i | 0.541707 | + | 0.199718i | ||||
\(76\) | −5.12392 | + | 2.34002i | −0.587754 | + | 0.268418i | ||||
\(77\) | 3.70468 | + | 0.264964i | 0.422188 | + | 0.0301955i | ||||
\(78\) | 0.232401 | − | 0.310452i | 0.0263143 | − | 0.0351517i | ||||
\(79\) | 2.42651 | − | 5.31332i | 0.273004 | − | 0.597795i | −0.722620 | − | 0.691246i | \(-0.757062\pi\) |
0.995624 | + | 0.0934502i | \(0.0297896\pi\) | |||||||
\(80\) | −0.479437 | − | 2.18407i | −0.0536027 | − | 0.244186i | ||||
\(81\) | 0.959493 | − | 0.281733i | 0.106610 | − | 0.0313036i | ||||
\(82\) | 2.06964 | + | 5.54893i | 0.228554 | + | 0.612777i | ||||
\(83\) | 2.85816 | + | 2.13959i | 0.313723 | + | 0.234850i | 0.744522 | − | 0.667598i | \(-0.232677\pi\) |
−0.430799 | + | 0.902448i | \(0.641768\pi\) | |||||||
\(84\) | −2.49895 | − | 2.88394i | −0.272658 | − | 0.314664i | ||||
\(85\) | 12.8416 | + | 5.83528i | 1.39287 | + | 0.632925i | ||||
\(86\) | −1.04925 | − | 1.63266i | −0.113143 | − | 0.176054i | ||||
\(87\) | −1.93993 | − | 2.59145i | −0.207983 | − | 0.277832i | ||||
\(88\) | −0.951066 | + | 0.206892i | −0.101384 | + | 0.0220547i | ||||
\(89\) | 0.830562 | − | 0.958520i | 0.0880394 | − | 0.101603i | −0.710021 | − | 0.704181i | \(-0.751314\pi\) |
0.798060 | + | 0.602578i | \(0.205860\pi\) | |||||||
\(90\) | −2.03224 | + | 0.932737i | −0.214217 | + | 0.0983191i | ||||
\(91\) | 1.47985i | 0.155131i | ||||||||
\(92\) | −4.76715 | + | 0.523762i | −0.497009 | + | 0.0546059i | ||||
\(93\) | 0.0529729 | + | 0.0529729i | 0.00549303 | + | 0.00549303i | ||||
\(94\) | 2.90032 | − | 9.87758i | 0.299145 | − | 1.01879i | ||||
\(95\) | −8.92330 | − | 8.88965i | −0.915511 | − | 0.912059i | ||||
\(96\) | 0.841254 | + | 0.540641i | 0.0858601 | + | 0.0551789i | ||||
\(97\) | −10.6558 | + | 7.97683i | −1.08193 | + | 0.809925i | −0.982712 | − | 0.185141i | \(-0.940726\pi\) |
−0.0992207 | + | 0.995065i | \(0.531635\pi\) | |||||||
\(98\) | 7.38904 | + | 1.60739i | 0.746405 | + | 0.162371i | ||||
\(99\) | 0.404327 | + | 0.885353i | 0.0406364 | + | 0.0889814i | ||||
\(100\) | 4.19603 | − | 2.71908i | 0.419603 | − | 0.271908i | ||||
\(101\) | 1.55156 | + | 10.7913i | 0.154386 | + | 1.07378i | 0.908756 | + | 0.417328i | \(0.137033\pi\) |
−0.754370 | + | 0.656450i | \(0.772057\pi\) | |||||||
\(102\) | −5.91033 | + | 2.20444i | −0.585210 | + | 0.218272i | ||||
\(103\) | −5.67500 | + | 10.3930i | −0.559174 | + | 1.02405i | 0.433260 | + | 0.901269i | \(0.357363\pi\) |
−0.992434 | + | 0.122782i | \(0.960819\pi\) | |||||||
\(104\) | −0.109257 | − | 0.372094i | −0.0107135 | − | 0.0364868i | ||||
\(105\) | 4.07520 | − | 7.49680i | 0.397699 | − | 0.731613i | ||||
\(106\) | −12.6099 | + | 1.81303i | −1.22478 | + | 0.176097i | ||||
\(107\) | −1.22992 | + | 17.1965i | −0.118901 | + | 1.66245i | 0.491892 | + | 0.870656i | \(0.336305\pi\) |
−0.610793 | + | 0.791791i | \(0.709149\pi\) | |||||||
\(108\) | 0.349464 | − | 0.936950i | 0.0336272 | − | 0.0901580i | ||||
\(109\) | −10.2548 | + | 6.59035i | −0.982231 | + | 0.631241i | −0.930064 | − | 0.367397i | \(-0.880249\pi\) |
−0.0521665 | + | 0.998638i | \(0.516613\pi\) | |||||||
\(110\) | −1.18010 | − | 1.82867i | −0.112518 | − | 0.174356i | ||||
\(111\) | −4.61466 | + | 7.18056i | −0.438004 | + | 0.681548i | ||||
\(112\) | −3.80628 | + | 0.272230i | −0.359659 | + | 0.0257233i | ||||
\(113\) | 11.8013 | − | 6.44401i | 1.11018 | − | 0.606202i | 0.183861 | − | 0.982952i | \(-0.441140\pi\) |
0.926315 | + | 0.376750i | \(0.122959\pi\) | |||||||
\(114\) | 5.63296 | 0.527575 | ||||||||
\(115\) | −4.84058 | − | 9.56916i | −0.451386 | − | 0.892329i | ||||
\(116\) | −3.23712 | −0.300559 | ||||||||
\(117\) | −0.340366 | + | 0.185854i | −0.0314668 | + | 0.0171822i | ||||
\(118\) | −12.2033 | + | 0.872797i | −1.12341 | + | 0.0803475i | ||||
\(119\) | 13.0140 | − | 20.2503i | 1.19300 | − | 1.85634i | ||||
\(120\) | −0.471182 | + | 2.18586i | −0.0430129 | + | 0.199541i | ||||
\(121\) | 8.45684 | − | 5.43488i | 0.768804 | − | 0.494080i | ||||
\(122\) | −2.50730 | + | 6.72233i | −0.227000 | + | 0.608611i | ||||
\(123\) | 0.422495 | − | 5.90725i | 0.0380950 | − | 0.532638i | ||||
\(124\) | 0.0741524 | − | 0.0106615i | 0.00665909 | − | 0.000957432i | ||||
\(125\) | 8.98815 | + | 6.64930i | 0.803924 | + | 0.594731i | ||||
\(126\) | 1.07509 | + | 3.66142i | 0.0957767 | + | 0.326186i | ||||
\(127\) | −0.372763 | + | 0.682665i | −0.0330774 | + | 0.0605768i | −0.893695 | − | 0.448675i | \(-0.851896\pi\) |
0.860618 | + | 0.509252i | \(0.170078\pi\) | |||||||
\(128\) | 0.936950 | − | 0.349464i | 0.0828154 | − | 0.0308886i | ||||
\(129\) | 0.276197 | + | 1.92099i | 0.0243178 | + | 0.169134i | ||||
\(130\) | 0.693208 | − | 0.520976i | 0.0607984 | − | 0.0456926i | ||||
\(131\) | −2.71596 | − | 5.94713i | −0.237295 | − | 0.519603i | 0.753094 | − | 0.657913i | \(-0.228560\pi\) |
−0.990389 | + | 0.138310i | \(0.955833\pi\) | |||||||
\(132\) | 0.951066 | + | 0.206892i | 0.0827797 | + | 0.0180076i | ||||
\(133\) | −17.2079 | + | 12.8817i | −1.49212 | + | 1.11698i | ||||
\(134\) | 3.95004 | + | 2.53854i | 0.341231 | + | 0.219296i | ||||
\(135\) | 2.23606 | − | 0.00422385i | 0.192450 | − | 0.000363532i | ||||
\(136\) | −1.77718 | + | 6.05253i | −0.152392 | + | 0.519000i | ||||
\(137\) | −4.37090 | − | 4.37090i | −0.373431 | − | 0.373431i | 0.495294 | − | 0.868725i | \(-0.335060\pi\) |
−0.868725 | + | 0.495294i | \(0.835060\pi\) | |||||||
\(138\) | 4.55393 | + | 1.50391i | 0.387656 | + | 0.128022i | ||||
\(139\) | − | 17.8821i | − | 1.51674i | −0.651824 | − | 0.758370i | \(-0.725996\pi\) | ||
0.651824 | − | 0.758370i | \(-0.274004\pi\) | |||||||
\(140\) | −3.55932 | − | 7.75503i | −0.300818 | − | 0.655419i | ||||
\(141\) | −6.74152 | + | 7.78013i | −0.567738 | + | 0.655205i | ||||
\(142\) | 3.97175 | − | 0.864002i | 0.333302 | − | 0.0725054i | ||||
\(143\) | −0.226198 | − | 0.302166i | −0.0189157 | − | 0.0252684i | ||||
\(144\) | −0.540641 | − | 0.841254i | −0.0450534 | − | 0.0701045i | ||||
\(145\) | −2.54237 | − | 6.77724i | −0.211133 | − | 0.562819i | ||||
\(146\) | −1.46628 | − | 1.69218i | −0.121351 | − | 0.140046i | ||||
\(147\) | −6.05357 | − | 4.53165i | −0.499290 | − | 0.373764i | ||||
\(148\) | 2.98287 | + | 7.99738i | 0.245190 | + | 0.657380i | ||||
\(149\) | −22.5527 | + | 6.62207i | −1.84759 | + | 0.542501i | −0.847662 | + | 0.530537i | \(0.821990\pi\) |
−0.999928 | + | 0.0119646i | \(0.996191\pi\) | |||||||
\(150\) | −4.94638 | + | 0.730266i | −0.403871 | + | 0.0596260i | ||||
\(151\) | −3.11780 | + | 6.82703i | −0.253723 | + | 0.555575i | −0.993039 | − | 0.117783i | \(-0.962421\pi\) |
0.739317 | + | 0.673358i | \(0.235149\pi\) | |||||||
\(152\) | 3.37571 | − | 4.50942i | 0.273806 | − | 0.365762i | ||||
\(153\) | 6.29198 | + | 0.450011i | 0.508677 | + | 0.0363813i | ||||
\(154\) | −3.37851 | + | 1.54291i | −0.272248 | + | 0.124331i | ||||
\(155\) | 0.0805589 | + | 0.146872i | 0.00647065 | + | 0.0117971i | ||||
\(156\) | −0.0551900 | + | 0.383855i | −0.00441874 | + | 0.0307330i | ||||
\(157\) | 1.98589 | + | 9.12901i | 0.158492 | + | 0.728574i | 0.985949 | + | 0.167046i | \(0.0534228\pi\) |
−0.827457 | + | 0.561528i | \(0.810214\pi\) | |||||||
\(158\) | 0.416705 | + | 5.82629i | 0.0331513 | + | 0.463515i | ||||
\(159\) | 12.2235 | + | 3.58915i | 0.969390 | + | 0.284638i | ||||
\(160\) | 1.46750 | + | 1.68714i | 0.116016 | + | 0.133380i | ||||
\(161\) | −17.3508 | + | 5.81986i | −1.36744 | + | 0.458669i | ||||
\(162\) | −0.707107 | + | 0.707107i | −0.0555556 | + | 0.0555556i | ||||
\(163\) | −7.76393 | − | 14.2186i | −0.608118 | − | 1.11368i | −0.982474 | − | 0.186400i | \(-0.940318\pi\) |
0.374356 | − | 0.927285i | \(-0.377864\pi\) | |||||||
\(164\) | −4.47580 | − | 3.87830i | −0.349501 | − | 0.302845i | ||||
\(165\) | 0.313801 | + | 2.15364i | 0.0244294 | + | 0.167661i | ||||
\(166\) | −3.53394 | − | 0.508104i | −0.274287 | − | 0.0394365i | ||||
\(167\) | −2.78193 | + | 12.7883i | −0.215272 | + | 0.989590i | 0.734975 | + | 0.678094i | \(0.237194\pi\) |
−0.950247 | + | 0.311496i | \(0.899170\pi\) | |||||||
\(168\) | 3.57540 | + | 1.33355i | 0.275848 | + | 0.102886i | ||||
\(169\) | −9.71109 | + | 8.41470i | −0.747007 | + | 0.647285i | ||||
\(170\) | −14.0674 | + | 1.03283i | −1.07892 | + | 0.0792145i | ||||
\(171\) | −5.12392 | − | 2.34002i | −0.391836 | − | 0.178946i | ||||
\(172\) | 1.70335 | + | 0.930102i | 0.129880 | + | 0.0709196i | ||||
\(173\) | −6.67813 | − | 3.64654i | −0.507729 | − | 0.277241i | 0.204899 | − | 0.978783i | \(-0.434313\pi\) |
−0.712628 | + | 0.701542i | \(0.752495\pi\) | |||||||
\(174\) | 2.94459 | + | 1.34475i | 0.223228 | + | 0.101945i | ||||
\(175\) | 13.4405 | − | 13.5425i | 1.01601 | − | 1.02371i | ||||
\(176\) | 0.735578 | − | 0.637382i | 0.0554463 | − | 0.0480445i | ||||
\(177\) | 11.4631 | + | 4.27551i | 0.861618 | + | 0.321367i | ||||
\(178\) | −0.269597 | + | 1.23932i | −0.0202072 | + | 0.0928909i | ||||
\(179\) | −24.5473 | − | 3.52937i | −1.83475 | − | 0.263797i | −0.863931 | − | 0.503611i | \(-0.832005\pi\) |
−0.970819 | + | 0.239814i | \(0.922914\pi\) | |||||||
\(180\) | 1.33664 | − | 1.79259i | 0.0996274 | − | 0.133612i | ||||
\(181\) | −17.9599 | − | 15.5624i | −1.33495 | − | 1.15674i | −0.974607 | − | 0.223924i | \(-0.928113\pi\) |
−0.360345 | − | 0.932819i | \(-0.617341\pi\) | |||||||
\(182\) | −0.709218 | − | 1.29884i | −0.0525708 | − | 0.0962762i | ||||
\(183\) | 5.07328 | − | 5.07328i | 0.375028 | − | 0.375028i | ||||
\(184\) | 3.93301 | − | 2.74434i | 0.289945 | − | 0.202316i | ||||
\(185\) | −14.4006 | + | 12.5259i | −1.05876 | + | 0.920925i | ||||
\(186\) | −0.0718804 | − | 0.0211060i | −0.00527053 | − | 0.00154757i | ||||
\(187\) | 0.438000 | + | 6.12404i | 0.0320298 | + | 0.447834i | ||||
\(188\) | 2.18827 | + | 10.0593i | 0.159596 | + | 0.733651i | ||||
\(189\) | 0.543073 | − | 3.77716i | 0.0395028 | − | 0.274748i | ||||
\(190\) | 12.0921 | + | 3.52578i | 0.877257 | + | 0.255787i | ||||
\(191\) | −5.22626 | + | 2.38675i | −0.378159 | + | 0.172699i | −0.595421 | − | 0.803414i | \(-0.703015\pi\) |
0.217262 | + | 0.976113i | \(0.430287\pi\) | |||||||
\(192\) | −0.997452 | − | 0.0713392i | −0.0719849 | − | 0.00514846i | ||||
\(193\) | 2.72149 | − | 3.63548i | 0.195897 | − | 0.261688i | −0.691828 | − | 0.722063i | \(-0.743194\pi\) |
0.887725 | + | 0.460375i | \(0.152285\pi\) | |||||||
\(194\) | 5.52948 | − | 12.1079i | 0.396994 | − | 0.869295i | ||||
\(195\) | −0.846986 | + | 0.185927i | −0.0606539 | + | 0.0133145i | ||||
\(196\) | −7.25554 | + | 2.13042i | −0.518253 | + | 0.152173i | ||||
\(197\) | 5.41721 | + | 14.5241i | 0.385960 | + | 1.03480i | 0.974115 | + | 0.226051i | \(0.0725817\pi\) |
−0.588155 | + | 0.808748i | \(0.700146\pi\) | |||||||
\(198\) | −0.779174 | − | 0.583283i | −0.0553735 | − | 0.0414521i | ||||
\(199\) | −2.24405 | − | 2.58977i | −0.159076 | − | 0.183584i | 0.670616 | − | 0.741804i | \(-0.266030\pi\) |
−0.829693 | + | 0.558221i | \(0.811484\pi\) | |||||||
\(200\) | −2.37965 | + | 4.39742i | −0.168267 | + | 0.310944i | ||||
\(201\) | −2.53854 | − | 3.95004i | −0.179055 | − | 0.278614i | ||||
\(202\) | −6.53351 | − | 8.72774i | −0.459696 | − | 0.614082i | ||||
\(203\) | −12.0705 | + | 2.62578i | −0.847185 | + | 0.184294i | ||||
\(204\) | 4.13090 | − | 4.76731i | 0.289221 | − | 0.333778i | ||||
\(205\) | 4.60442 | − | 12.4165i | 0.321587 | − | 0.867206i | ||||
\(206\) | − | 11.8414i | − | 0.825032i | ||||||
\(207\) | −3.51765 | − | 3.25978i | −0.244494 | − | 0.226570i | ||||
\(208\) | 0.274218 | + | 0.274218i | 0.0190136 | + | 0.0190136i | ||||
\(209\) | 1.54463 | − | 5.26053i | 0.106844 | − | 0.363878i | ||||
\(210\) | 0.0161182 | + | 8.53282i | 0.00111226 | + | 0.588820i | ||||
\(211\) | 0.879820 | + | 0.565426i | 0.0605693 | + | 0.0389255i | 0.570575 | − | 0.821245i | \(-0.306720\pi\) |
−0.510006 | + | 0.860171i | \(0.670357\pi\) | |||||||
\(212\) | 10.1986 | − | 7.63455i | 0.700440 | − | 0.524343i | ||||
\(213\) | −3.97175 | − | 0.864002i | −0.272140 | − | 0.0592004i | ||||
\(214\) | −7.16192 | − | 15.6824i | −0.489579 | − | 1.07203i | ||||
\(215\) | −0.609481 | + | 4.29663i | −0.0415663 | + | 0.293028i | ||||
\(216\) | 0.142315 | + | 0.989821i | 0.00968330 | + | 0.0673488i | ||||
\(217\) | 0.267851 | − | 0.0999032i | 0.0181829 | − | 0.00678187i | ||||
\(218\) | 5.84199 | − | 10.6988i | 0.395670 | − | 0.724615i | ||||
\(219\) | 0.630821 | + | 2.14838i | 0.0426270 | + | 0.145174i | ||||
\(220\) | 1.91213 | + | 1.03942i | 0.128916 | + | 0.0700777i | ||||
\(221\) | −2.42138 | + | 0.348142i | −0.162880 | + | 0.0234185i | ||||
\(222\) | 0.608919 | − | 8.51380i | 0.0408679 | − | 0.571409i | ||||
\(223\) | 5.08542 | − | 13.6345i | 0.340545 | − | 0.913036i | −0.647937 | − | 0.761694i | \(-0.724368\pi\) |
0.988481 | − | 0.151342i | \(-0.0483594\pi\) | |||||||
\(224\) | 3.21022 | − | 2.06308i | 0.214492 | − | 0.137846i | ||||
\(225\) | 4.80275 | + | 1.39053i | 0.320183 | + | 0.0927019i | ||||
\(226\) | −7.26949 | + | 11.3116i | −0.483559 | + | 0.752433i | ||||
\(227\) | 9.44228 | − | 0.675326i | 0.626706 | − | 0.0448229i | 0.245626 | − | 0.969365i | \(-0.421007\pi\) |
0.381081 | + | 0.924542i | \(0.375552\pi\) | |||||||
\(228\) | −4.94393 | + | 2.69959i | −0.327420 | + | 0.178785i | ||||
\(229\) | 3.31839 | 0.219285 | 0.109643 | − | 0.993971i | \(-0.465029\pi\) | ||||
0.109643 | + | 0.993971i | \(0.465029\pi\) | |||||||
\(230\) | 8.83448 | + | 6.07881i | 0.582529 | + | 0.400825i | ||||
\(231\) | 3.71415 | 0.244373 | ||||||||
\(232\) | 2.84115 | − | 1.55139i | 0.186531 | − | 0.101853i | ||||
\(233\) | −6.38529 | + | 0.456685i | −0.418314 | + | 0.0299184i | −0.278910 | − | 0.960317i | \(-0.589973\pi\) |
−0.139404 | + | 0.990236i | \(0.544519\pi\) | |||||||
\(234\) | 0.209662 | − | 0.326240i | 0.0137060 | − | 0.0213270i | ||||
\(235\) | −19.3416 | + | 12.4818i | −1.26171 | + | 0.814221i | ||||
\(236\) | 10.2923 | − | 6.61446i | 0.669971 | − | 0.430564i | ||||
\(237\) | 2.04128 | − | 5.47289i | 0.132596 | − | 0.355502i | ||||
\(238\) | −1.71724 | + | 24.0102i | −0.111312 | + | 1.55635i | ||||
\(239\) | 6.07333 | − | 0.873213i | 0.392851 | − | 0.0564834i | 0.0569410 | − | 0.998378i | \(-0.481865\pi\) |
0.335910 | + | 0.941894i | \(0.390956\pi\) | |||||||
\(240\) | −0.634025 | − | 2.14430i | −0.0409261 | − | 0.138414i | ||||
\(241\) | 1.27095 | + | 4.32846i | 0.0818690 | + | 0.278820i | 0.990246 | − | 0.139333i | \(-0.0444957\pi\) |
−0.908377 | + | 0.418153i | \(0.862678\pi\) | |||||||
\(242\) | −4.81773 | + | 8.82302i | −0.309696 | + | 0.567165i | ||||
\(243\) | 0.936950 | − | 0.349464i | 0.0601054 | − | 0.0224181i | ||||
\(244\) | −1.02107 | − | 7.10167i | −0.0653671 | − | 0.454638i | ||||
\(245\) | −10.1586 | − | 13.5170i | −0.649010 | − | 0.863571i | ||||
\(246\) | 2.46023 | + | 5.38715i | 0.156858 | + | 0.343472i | ||||
\(247\) | 2.13455 | + | 0.464344i | 0.135818 | + | 0.0295455i | ||||
\(248\) | −0.0599725 | + | 0.0448949i | −0.00380826 | + | 0.00285083i | ||||
\(249\) | 3.00351 | + | 1.93024i | 0.190340 | + | 0.122324i | ||||
\(250\) | −11.0754 | − | 1.52839i | −0.700468 | − | 0.0966639i | ||||
\(251\) | −4.74550 | + | 16.1617i | −0.299533 | + | 1.02012i | 0.662925 | + | 0.748686i | \(0.269315\pi\) |
−0.962458 | + | 0.271431i | \(0.912503\pi\) | |||||||
\(252\) | −2.69832 | − | 2.69832i | −0.169978 | − | 0.169978i | ||||
\(253\) | 2.65323 | − | 3.84044i | 0.166807 | − | 0.241447i | ||||
\(254\) | − | 0.777808i | − | 0.0488040i | ||||||
\(255\) | 13.2252 | + | 4.90430i | 0.828193 | + | 0.307119i | ||||
\(256\) | −0.654861 | + | 0.755750i | −0.0409288 | + | 0.0472343i | ||||
\(257\) | −5.84972 | + | 1.27253i | −0.364895 | + | 0.0793781i | −0.391275 | − | 0.920274i | \(-0.627966\pi\) |
0.0263796 | + | 0.999652i | \(0.491602\pi\) | |||||||
\(258\) | −1.16305 | − | 1.55365i | −0.0724082 | − | 0.0967260i | ||||
\(259\) | 17.6095 | + | 27.4010i | 1.09420 | + | 1.70261i | ||||
\(260\) | −0.358738 | + | 0.789469i | −0.0222480 | + | 0.0489608i | ||||
\(261\) | −2.11986 | − | 2.44645i | −0.131216 | − | 0.151431i | ||||
\(262\) | 5.23390 | + | 3.91805i | 0.323351 | + | 0.242058i | ||||
\(263\) | −2.43648 | − | 6.53247i | −0.150240 | − | 0.402809i | 0.839927 | − | 0.542700i | \(-0.182598\pi\) |
−0.990167 | + | 0.139890i | \(0.955325\pi\) | |||||||
\(264\) | −0.933883 | + | 0.274213i | −0.0574766 | + | 0.0168766i | ||||
\(265\) | 23.9935 | + | 15.3557i | 1.47391 | + | 0.943294i | ||||
\(266\) | 8.92950 | − | 19.5529i | 0.547503 | − | 1.19886i | ||||
\(267\) | 0.760066 | − | 1.01533i | 0.0465153 | − | 0.0621371i | ||||
\(268\) | −4.68346 | − | 0.334967i | −0.286088 | − | 0.0204614i | ||||
\(269\) | −9.83916 | + | 4.49339i | −0.599904 | + | 0.273967i | −0.692132 | − | 0.721771i | \(-0.743328\pi\) |
0.0922279 | + | 0.995738i | \(0.470601\pi\) | |||||||
\(270\) | −1.96052 | + | 1.07534i | −0.119314 | + | 0.0654430i | ||||
\(271\) | 2.52104 | − | 17.5342i | 0.153142 | − | 1.06513i | −0.757768 | − | 0.652524i | \(-0.773710\pi\) |
0.910910 | − | 0.412605i | \(-0.135381\pi\) | |||||||
\(272\) | −1.34087 | − | 6.16390i | −0.0813024 | − | 0.373741i | ||||
\(273\) | 0.105572 | + | 1.47608i | 0.00638948 | + | 0.0893366i | ||||
\(274\) | 5.93100 | + | 1.74150i | 0.358305 | + | 0.105208i | ||||
\(275\) | −0.674379 | + | 4.81959i | −0.0406666 | + | 0.290632i | ||||
\(276\) | −4.71763 | + | 0.862512i | −0.283968 | + | 0.0519171i | ||||
\(277\) | 4.91405 | − | 4.91405i | 0.295257 | − | 0.295257i | −0.543896 | − | 0.839153i | \(-0.683051\pi\) |
0.839153 | + | 0.543896i | \(0.183051\pi\) | |||||||
\(278\) | 8.56998 | + | 15.6947i | 0.513993 | + | 0.941308i | ||||
\(279\) | 0.0566169 | + | 0.0490589i | 0.00338957 | + | 0.00293708i | ||||
\(280\) | 6.84053 | + | 5.10062i | 0.408800 | + | 0.304821i | ||||
\(281\) | 1.68557 | + | 0.242348i | 0.100553 | + | 0.0144573i | 0.192407 | − | 0.981315i | \(-0.438370\pi\) |
−0.0918548 | + | 0.995772i | \(0.529280\pi\) | |||||||
\(282\) | 2.18827 | − | 10.0593i | 0.130310 | − | 0.599024i | ||||
\(283\) | 24.7516 | + | 9.23186i | 1.47133 | + | 0.548777i | 0.952081 | − | 0.305846i | \(-0.0989393\pi\) |
0.519248 | + | 0.854624i | \(0.326212\pi\) | |||||||
\(284\) | −3.07185 | + | 2.66177i | −0.182281 | + | 0.157947i | ||||
\(285\) | −9.53474 | − | 8.23042i | −0.564790 | − | 0.487528i | ||||
\(286\) | 0.343342 | + | 0.156799i | 0.0203022 | + | 0.00927172i | ||||
\(287\) | −19.8352 | − | 10.8308i | −1.17084 | − | 0.639325i | ||||
\(288\) | 0.877679 | + | 0.479249i | 0.0517177 | + | 0.0282400i | ||||
\(289\) | 20.7319 | + | 9.46795i | 1.21952 | + | 0.556938i | ||||
\(290\) | 5.47937 | + | 4.72981i | 0.321760 | + | 0.277744i | ||||
\(291\) | −10.0596 | + | 8.71669i | −0.589704 | + | 0.510981i | ||||
\(292\) | 2.09790 | + | 0.782478i | 0.122771 | + | 0.0457911i | ||||
\(293\) | −2.82785 | + | 12.9994i | −0.165205 | + | 0.759434i | 0.817748 | + | 0.575576i | \(0.195222\pi\) |
−0.982953 | + | 0.183858i | \(0.941141\pi\) | |||||||
\(294\) | 7.48488 | + | 1.07616i | 0.436527 | + | 0.0627631i | ||||
\(295\) | 21.9314 | + | 16.3531i | 1.27690 | + | 0.952115i | ||||
\(296\) | −6.45073 | − | 5.58959i | −0.374941 | − | 0.324888i | ||||
\(297\) | 0.466457 | + | 0.854253i | 0.0270666 | + | 0.0495688i | ||||
\(298\) | 16.6204 | − | 16.6204i | 0.962795 | − | 0.962795i | ||||
\(299\) | 1.60169 | + | 0.945288i | 0.0926282 | + | 0.0546674i | ||||
\(300\) | 3.99136 | − | 3.01149i | 0.230441 | − | 0.173868i | ||||
\(301\) | 7.10590 | + | 2.08648i | 0.409577 | + | 0.120263i | ||||
\(302\) | −0.535419 | − | 7.48614i | −0.0308099 | − | 0.430779i | ||||
\(303\) | 2.31745 | + | 10.6532i | 0.133134 | + | 0.612008i | ||||
\(304\) | −0.801654 | + | 5.57562i | −0.0459780 | + | 0.319784i | ||||
\(305\) | 14.0662 | − | 7.71523i | 0.805426 | − | 0.441773i | ||||
\(306\) | −5.73801 | + | 2.62046i | −0.328020 | + | 0.149802i | ||||
\(307\) | 0.410966 | + | 0.0293928i | 0.0234551 | + | 0.00167754i | 0.0830618 | − | 0.996544i | \(-0.473530\pi\) |
−0.0596067 | + | 0.998222i | \(0.518985\pi\) | |||||||
\(308\) | 2.22581 | − | 2.97333i | 0.126827 | − | 0.169421i | ||||
\(309\) | −4.91911 | + | 10.7713i | −0.279838 | + | 0.612761i | ||||
\(310\) | −0.141093 | − | 0.0902991i | −0.00801356 | − | 0.00512864i | ||||
\(311\) | 17.0529 | − | 5.00719i | 0.966982 | − | 0.283932i | 0.240142 | − | 0.970738i | \(-0.422806\pi\) |
0.726840 | + | 0.686806i | \(0.240988\pi\) | |||||||
\(312\) | −0.135523 | − | 0.363351i | −0.00767248 | − | 0.0205707i | ||||
\(313\) | −13.3095 | − | 9.96338i | −0.752299 | − | 0.563164i | 0.152855 | − | 0.988249i | \(-0.451153\pi\) |
−0.905153 | + | 0.425085i | \(0.860244\pi\) | |||||||
\(314\) | −6.11805 | − | 7.06060i | −0.345261 | − | 0.398453i | ||||
\(315\) | 3.53000 | − | 7.76842i | 0.198893 | − | 0.437701i | ||||
\(316\) | −3.15798 | − | 4.91391i | −0.177650 | − | 0.276429i | ||||
\(317\) | 15.7961 | + | 21.1012i | 0.887200 | + | 1.18516i | 0.981852 | + | 0.189650i | \(0.0607352\pi\) |
−0.0946521 | + | 0.995510i | \(0.530174\pi\) | |||||||
\(318\) | −12.4484 | + | 2.70799i | −0.698074 | + | 0.151857i | ||||
\(319\) | 2.06328 | − | 2.38115i | 0.115522 | − | 0.133319i | ||||
\(320\) | −2.09656 | − | 0.777467i | −0.117201 | − | 0.0434617i | ||||
\(321\) | 17.2404i | 0.962266i | ||||||||
\(322\) | 12.4393 | − | 13.4233i | 0.693215 | − | 0.748054i | ||||
\(323\) | −25.1256 | − | 25.1256i | −1.39803 | − | 1.39803i | ||||
\(324\) | 0.281733 | − | 0.959493i | 0.0156518 | − | 0.0533052i | ||||
\(325\) | −1.93458 | − | 0.131020i | −0.107311 | − | 0.00726767i | ||||
\(326\) | 13.6285 | + | 8.75849i | 0.754812 | + | 0.485088i | ||||
\(327\) | −9.75851 | + | 7.30513i | −0.539647 | + | 0.403975i | ||||
\(328\) | 5.78699 | + | 1.25888i | 0.319533 | + | 0.0695102i | ||||
\(329\) | 16.3192 | + | 35.7341i | 0.899707 | + | 1.97008i | ||||
\(330\) | −1.30755 | − | 1.73982i | −0.0719782 | − | 0.0957739i | ||||
\(331\) | 4.05028 | + | 28.1703i | 0.222624 | + | 1.54838i | 0.728057 | + | 0.685516i | \(0.240423\pi\) |
−0.505434 | + | 0.862865i | \(0.668667\pi\) | |||||||
\(332\) | 3.34517 | − | 1.24768i | 0.183590 | − | 0.0684756i | ||||
\(333\) | −4.09065 | + | 7.49147i | −0.224166 | + | 0.410530i | ||||
\(334\) | −3.68715 | − | 12.5573i | −0.201752 | − | 0.687103i | ||||
\(335\) | −2.97701 | − | 10.0684i | −0.162652 | − | 0.550094i | ||||
\(336\) | −3.77716 | + | 0.543073i | −0.206061 | + | 0.0296271i | ||||
\(337\) | 1.98422 | − | 27.7431i | 0.108088 | − | 1.51126i | −0.597058 | − | 0.802198i | \(-0.703664\pi\) |
0.705145 | − | 0.709063i | \(-0.250882\pi\) | |||||||
\(338\) | 4.49048 | − | 12.0394i | 0.244250 | − | 0.654859i | ||||
\(339\) | 11.3116 | − | 7.26949i | 0.614359 | − | 0.394825i | ||||
\(340\) | 11.8517 | − | 7.64827i | 0.642746 | − | 0.414786i | ||||
\(341\) | −0.0394211 | + | 0.0613404i | −0.00213477 | + | 0.00332177i | ||||
\(342\) | 5.61861 | − | 0.401851i | 0.303820 | − | 0.0217296i | ||||
\(343\) | −1.88175 | + | 1.02751i | −0.101605 | + | 0.0554805i | ||||
\(344\) | −1.94075 | −0.104638 | ||||||||
\(345\) | −5.51090 | − | 9.19945i | −0.296697 | − | 0.495282i | ||||
\(346\) | 7.60886 | 0.409055 | ||||||||
\(347\) | 1.98019 | − | 1.08127i | 0.106302 | − | 0.0580454i | −0.425218 | − | 0.905091i | \(-0.639803\pi\) |
0.531520 | + | 0.847045i | \(0.321621\pi\) | |||||||
\(348\) | −3.22887 | + | 0.230933i | −0.173086 | + | 0.0123793i | ||||
\(349\) | −3.55257 | + | 5.52791i | −0.190165 | + | 0.295902i | −0.923224 | − | 0.384263i | \(-0.874456\pi\) |
0.733059 | + | 0.680165i | \(0.238092\pi\) | |||||||
\(350\) | −5.30625 | + | 18.3273i | −0.283631 | + | 0.979635i | ||||
\(351\) | −0.326240 | + | 0.209662i | −0.0174134 | + | 0.0111909i | ||||
\(352\) | −0.340137 | + | 0.911942i | −0.0181293 | + | 0.0486067i | ||||
\(353\) | −2.28504 | + | 31.9490i | −0.121620 | + | 1.70047i | 0.460735 | + | 0.887538i | \(0.347586\pi\) |
−0.582355 | + | 0.812935i | \(0.697869\pi\) | |||||||
\(354\) | −12.1099 | + | 1.74115i | −0.643636 | + | 0.0925409i | ||||
\(355\) | −7.98528 | − | 4.34073i | −0.423814 | − | 0.230382i | ||||
\(356\) | −0.357322 | − | 1.21693i | −0.0189380 | − | 0.0644971i | ||||
\(357\) | 11.5363 | − | 21.1271i | 0.610563 | − | 1.11816i | ||||
\(358\) | 23.2361 | − | 8.66661i | 1.22806 | − | 0.458044i | ||||
\(359\) | −3.31404 | − | 23.0497i | −0.174908 | − | 1.21652i | −0.868331 | − | 0.495984i | \(-0.834807\pi\) |
0.693423 | − | 0.720531i | \(-0.256102\pi\) | |||||||
\(360\) | −0.314044 | + | 2.21391i | −0.0165516 | + | 0.116683i | ||||
\(361\) | 5.28833 | + | 11.5798i | 0.278333 | + | 0.609465i | ||||
\(362\) | 23.2213 | + | 5.05149i | 1.22049 | + | 0.265500i | ||||
\(363\) | 8.04758 | − | 6.02434i | 0.422388 | − | 0.316196i | ||||
\(364\) | 1.24493 | + | 0.800069i | 0.0652522 | + | 0.0419350i | ||||
\(365\) | 0.00945754 | + | 5.00672i | 0.000495030 | + | 0.262064i | ||||
\(366\) | −2.02135 | + | 6.88407i | −0.105657 | + | 0.359836i | ||||
\(367\) | −18.2764 | − | 18.2764i | −0.954020 | − | 0.954020i | 0.0449685 | − | 0.998988i | \(-0.485681\pi\) |
−0.998988 | + | 0.0449685i | \(0.985681\pi\) | |||||||
\(368\) | −2.13670 | + | 4.29354i | −0.111383 | + | 0.223816i | ||||
\(369\) | − | 5.92233i | − | 0.308304i | ||||||
\(370\) | 6.63610 | − | 17.8952i | 0.344994 | − | 0.930329i | ||||
\(371\) | 31.8355 | − | 36.7402i | 1.65282 | − | 1.90746i | ||||
\(372\) | 0.0732029 | − | 0.0159243i | 0.00379539 | − | 0.000825638i | ||||
\(373\) | 6.57802 | + | 8.78721i | 0.340597 | + | 0.454984i | 0.937836 | − | 0.347079i | \(-0.112826\pi\) |
−0.597239 | + | 0.802063i | \(0.703736\pi\) | |||||||
\(374\) | −3.31937 | − | 5.16503i | −0.171640 | − | 0.267078i | ||||
\(375\) | 9.43960 | + | 5.99115i | 0.487459 | + | 0.309382i | ||||
\(376\) | −6.74152 | − | 7.78013i | −0.347667 | − | 0.401229i | ||||
\(377\) | 1.00497 | + | 0.752310i | 0.0517585 | + | 0.0387460i | ||||
\(378\) | 1.33355 | + | 3.57540i | 0.0685907 | + | 0.183899i | ||||
\(379\) | 4.88542 | − | 1.43449i | 0.250947 | − | 0.0736848i | −0.153840 | − | 0.988096i | \(-0.549164\pi\) |
0.404787 | + | 0.914411i | \(0.367346\pi\) | |||||||
\(380\) | −12.3028 | + | 2.70065i | −0.631118 | + | 0.138540i | ||||
\(381\) | −0.323113 | + | 0.707519i | −0.0165536 | + | 0.0362473i | ||||
\(382\) | 3.44313 | − | 4.59948i | 0.176166 | − | 0.235330i | ||||
\(383\) | −2.24872 | − | 0.160832i | −0.114904 | − | 0.00821813i | 0.0137685 | − | 0.999905i | \(-0.495617\pi\) |
−0.128673 | + | 0.991687i | \(0.541072\pi\) | |||||||
\(384\) | 0.909632 | − | 0.415415i | 0.0464195 | − | 0.0211991i | ||||
\(385\) | 7.97308 | + | 2.32476i | 0.406346 | + | 0.118481i | ||||
\(386\) | −0.646292 | + | 4.49506i | −0.0328954 | + | 0.228792i | ||||
\(387\) | 0.412536 | + | 1.89640i | 0.0209704 | + | 0.0963993i | ||||
\(388\) | 0.949578 | + | 13.2768i | 0.0482075 | + | 0.674029i | ||||
\(389\) | −26.2514 | − | 7.70811i | −1.33100 | − | 0.390816i | −0.462549 | − | 0.886594i | \(-0.653065\pi\) |
−0.868450 | + | 0.495777i | \(0.834883\pi\) | |||||||
\(390\) | 0.654276 | − | 0.569101i | 0.0331306 | − | 0.0288176i | ||||
\(391\) | −13.6045 | − | 27.0208i | −0.688008 | − | 1.36650i | ||||
\(392\) | 5.34703 | − | 5.34703i | 0.270066 | − | 0.270066i | ||||
\(393\) | −3.13331 | − | 5.73822i | −0.158054 | − | 0.289455i | ||||
\(394\) | −11.7152 | − | 10.1513i | −0.590205 | − | 0.511416i | ||||
\(395\) | 7.80756 | − | 10.4709i | 0.392841 | − | 0.526846i | ||||
\(396\) | 0.963402 | + | 0.138516i | 0.0484128 | + | 0.00696071i | ||||
\(397\) | −0.505823 | + | 2.32523i | −0.0253865 | + | 0.116700i | −0.988096 | − | 0.153836i | \(-0.950837\pi\) |
0.962710 | + | 0.270536i | \(0.0872009\pi\) | |||||||
\(398\) | 3.21070 | + | 1.19753i | 0.160938 | + | 0.0600267i | ||||
\(399\) | −16.2451 | + | 14.0765i | −0.813273 | + | 0.704705i | ||||
\(400\) | −0.0188896 | − | 4.99996i | −0.000944481 | − | 0.249998i | ||||
\(401\) | −20.0093 | − | 9.13794i | −0.999217 | − | 0.456327i | −0.152461 | − | 0.988309i | \(-0.548720\pi\) |
−0.846755 | + | 0.531983i | \(0.821447\pi\) | |||||||
\(402\) | 4.12107 | + | 2.25028i | 0.205540 | + | 0.112234i | ||||
\(403\) | −0.0254985 | − | 0.0139232i | −0.00127017 | − | 0.000693566i | ||||
\(404\) | 9.91708 | + | 4.52898i | 0.493393 | + | 0.225325i | ||||
\(405\) | 2.23007 | − | 0.163732i | 0.110813 | − | 0.00813591i | ||||
\(406\) | 9.33565 | − | 8.08939i | 0.463321 | − | 0.401470i | ||||
\(407\) | −7.78392 | − | 2.90325i | −0.385835 | − | 0.143909i | ||||
\(408\) | −1.34087 | + | 6.16390i | −0.0663831 | + | 0.305158i | ||||
\(409\) | 27.9282 | + | 4.01547i | 1.38096 | + | 0.198552i | 0.792451 | − | 0.609936i | \(-0.208805\pi\) |
0.588512 | + | 0.808488i | \(0.299714\pi\) | |||||||
\(410\) | 1.90940 | + | 13.1044i | 0.0942983 | + | 0.647179i | ||||
\(411\) | −4.67158 | − | 4.04795i | −0.230432 | − | 0.199671i | ||||
\(412\) | 5.67500 | + | 10.3930i | 0.279587 | + | 0.512025i | ||||
\(413\) | 33.0125 | − | 33.0125i | 1.62444 | − | 1.62444i | ||||
\(414\) | 4.64961 | + | 1.17521i | 0.228516 | + | 0.0577583i | ||||
\(415\) | 5.23940 | + | 6.02356i | 0.257192 | + | 0.295685i | ||||
\(416\) | −0.372094 | − | 0.109257i | −0.0182434 | − | 0.00535674i | ||||
\(417\) | −1.27569 | − | 17.8365i | −0.0624710 | − | 0.873459i | ||||
\(418\) | 1.16541 | + | 5.35732i | 0.0570022 | + | 0.262035i | ||||
\(419\) | 2.07037 | − | 14.3998i | 0.101144 | − | 0.703475i | −0.874645 | − | 0.484764i | \(-0.838906\pi\) |
0.975790 | − | 0.218711i | \(-0.0701853\pi\) | |||||||
\(420\) | −4.10349 | − | 7.48135i | −0.200230 | − | 0.365053i | ||||
\(421\) | 13.0428 | − | 5.95647i | 0.635670 | − | 0.290301i | −0.0713966 | − | 0.997448i | \(-0.522746\pi\) |
0.707066 | + | 0.707147i | \(0.250018\pi\) | |||||||
\(422\) | −1.04318 | − | 0.0746097i | −0.0507812 | − | 0.00363194i | ||||
\(423\) | −6.16931 | + | 8.24124i | −0.299962 | + | 0.400703i | ||||
\(424\) | −5.29221 | + | 11.5883i | −0.257013 | + | 0.562779i | ||||
\(425\) | 25.3205 | + | 18.8059i | 1.22823 | + | 0.912218i | ||||
\(426\) | 3.89999 | − | 1.14514i | 0.188955 | − | 0.0554823i | ||||
\(427\) | −9.56786 | − | 25.6524i | −0.463021 | − | 1.24141i | ||||
\(428\) | 13.8017 | + | 10.3318i | 0.667128 | + | 0.499406i | ||||
\(429\) | −0.247178 | − | 0.285259i | −0.0119339 | − | 0.0137724i | ||||
\(430\) | −1.52423 | − | 4.06316i | −0.0735048 | − | 0.195943i | ||||
\(431\) | −4.06779 | − | 6.32960i | −0.195938 | − | 0.304886i | 0.729357 | − | 0.684133i | \(-0.239819\pi\) |
−0.925295 | + | 0.379247i | \(0.876183\pi\) | |||||||
\(432\) | −0.599278 | − | 0.800541i | −0.0288328 | − | 0.0385161i | ||||
\(433\) | −4.84668 | + | 1.05433i | −0.232917 | + | 0.0506679i | −0.327509 | − | 0.944848i | \(-0.606209\pi\) |
0.0945918 | + | 0.995516i | \(0.469845\pi\) | |||||||
\(434\) | −0.187209 | + | 0.216050i | −0.00898630 | + | 0.0103707i | ||||
\(435\) | −3.01938 | − | 6.57860i | −0.144768 | − | 0.315420i | ||||
\(436\) | 12.1899i | 0.583790i | ||||||||
\(437\) | 2.95033 | + | 26.8531i | 0.141133 | + | 1.28456i | ||||
\(438\) | −1.58327 | − | 1.58327i | −0.0756515 | − | 0.0756515i | ||||
\(439\) | −5.84276 | + | 19.8986i | −0.278860 | + | 0.949709i | 0.694321 | + | 0.719666i | \(0.255705\pi\) |
−0.973180 | + | 0.230043i | \(0.926113\pi\) | |||||||
\(440\) | −2.17638 | + | 0.00411112i | −0.103755 | + | 0.000195990i | ||||
\(441\) | −6.36143 | − | 4.08824i | −0.302925 | − | 0.194678i | ||||
\(442\) | 1.95835 | − | 1.46600i | 0.0931491 | − | 0.0697305i | ||||
\(443\) | 24.6639 | + | 5.36531i | 1.17182 | + | 0.254914i | 0.756023 | − | 0.654545i | \(-0.227140\pi\) |
0.415795 | + | 0.909458i | \(0.363503\pi\) | |||||||
\(444\) | 3.54579 | + | 7.76420i | 0.168276 | + | 0.368473i | ||||
\(445\) | 2.26713 | − | 1.70384i | 0.107472 | − | 0.0807700i | ||||
\(446\) | 2.07097 | + | 14.4039i | 0.0980634 | + | 0.682046i | ||||
\(447\) | −22.0228 | + | 8.21409i | −1.04164 | + | 0.388513i | ||||
\(448\) | −1.82881 | + | 3.34922i | −0.0864033 | + | 0.158236i | ||||
\(449\) | 5.27726 | + | 17.9727i | 0.249050 | + | 0.848185i | 0.985206 | + | 0.171374i | \(0.0548205\pi\) |
−0.736157 | + | 0.676811i | \(0.763361\pi\) | |||||||
\(450\) | −4.88168 | + | 1.08128i | −0.230125 | + | 0.0509719i | ||||
\(451\) | 5.70559 | − | 0.820340i | 0.268666 | − | 0.0386283i | ||||
\(452\) | 0.959231 | − | 13.4118i | 0.0451184 | − | 0.630838i | ||||
\(453\) | −2.62282 | + | 7.03205i | −0.123231 | + | 0.330395i | ||||
\(454\) | −7.96365 | + | 5.11792i | −0.373752 | + | 0.240196i | ||||
\(455\) | −0.697281 | + | 3.23475i | −0.0326890 | + | 0.151648i | ||||
\(456\) | 3.04541 | − | 4.73875i | 0.142614 | − | 0.221912i | ||||
\(457\) | 29.5147 | − | 2.11093i | 1.38064 | − | 0.0987452i | 0.638825 | − | 0.769352i | \(-0.279421\pi\) |
0.741813 | + | 0.670607i | \(0.233966\pi\) | |||||||
\(458\) | −2.91248 | + | 1.59033i | −0.136091 | + | 0.0743114i | ||||
\(459\) | 6.30805 | 0.294435 | ||||||||
\(460\) | −10.6671 | − | 1.10132i | −0.497356 | − | 0.0513495i | ||||
\(461\) | 40.7854 | 1.89956 | 0.949782 | − | 0.312911i | \(-0.101304\pi\) | ||||
0.949782 | + | 0.312911i | \(0.101304\pi\) | |||||||
\(462\) | −3.25983 | + | 1.78000i | −0.151661 | + | 0.0828132i | ||||
\(463\) | −20.5689 | + | 1.47112i | −0.955918 | + | 0.0683686i | −0.540574 | − | 0.841296i | \(-0.681793\pi\) |
−0.415343 | + | 0.909665i | \(0.636339\pi\) | |||||||
\(464\) | −1.75012 | + | 2.72324i | −0.0812472 | + | 0.126423i | ||||
\(465\) | 0.0908315 | + | 0.140751i | 0.00421221 | + | 0.00652718i | ||||
\(466\) | 5.38537 | − | 3.46097i | 0.249472 | − | 0.160326i | ||||
\(467\) | −10.4118 | + | 27.9151i | −0.481801 | + | 1.29176i | 0.437859 | + | 0.899044i | \(0.355737\pi\) |
−0.919660 | + | 0.392715i | \(0.871536\pi\) | |||||||
\(468\) | −0.0276655 | + | 0.386814i | −0.00127884 | + | 0.0178805i | ||||
\(469\) | −17.7353 | + | 2.54996i | −0.818942 | + | 0.117746i | ||||
\(470\) | 10.9938 | − | 20.2244i | 0.507108 | − | 0.932884i | ||||
\(471\) | 2.63209 | + | 8.96408i | 0.121280 | + | 0.413043i | ||||
\(472\) | −5.86336 | + | 10.7379i | −0.269883 | + | 0.494254i | ||||
\(473\) | −1.76985 | + | 0.660120i | −0.0813778 | + | 0.0303523i | ||||
\(474\) | 0.831286 | + | 5.78172i | 0.0381822 | + | 0.265563i | ||||
\(475\) | −15.3164 | − | 23.6360i | −0.702767 | − | 1.08450i | ||||
\(476\) | −9.99967 | − | 21.8962i | −0.458334 | − | 1.00361i | ||||
\(477\) | 12.4484 | + | 2.70799i | 0.569975 | + | 0.123990i | ||||
\(478\) | −4.91195 | + | 3.67704i | −0.224667 | + | 0.168184i | ||||
\(479\) | −15.8082 | − | 10.1593i | −0.722296 | − | 0.464192i | 0.127139 | − | 0.991885i | \(-0.459421\pi\) |
−0.849435 | + | 0.527693i | \(0.823057\pi\) | |||||||
\(480\) | 1.58412 | + | 1.57815i | 0.0723050 | + | 0.0720323i | ||||
\(481\) | 0.932564 | − | 3.17602i | 0.0425213 | − | 0.144814i | ||||
\(482\) | −3.18989 | − | 3.18989i | −0.145296 | − | 0.145296i | ||||
\(483\) | −16.8914 | + | 7.04283i | −0.768588 | + | 0.320460i | ||||
\(484\) | − | 10.0527i | − | 0.456940i | ||||||
\(485\) | −27.0506 | + | 12.4154i | −1.22831 | + | 0.563755i | ||||
\(486\) | −0.654861 | + | 0.755750i | −0.0297051 | + | 0.0342815i | ||||
\(487\) | −25.6323 | + | 5.57596i | −1.16151 | + | 0.252671i | −0.751703 | − | 0.659502i | \(-0.770767\pi\) |
−0.409806 | + | 0.912173i | \(0.634404\pi\) | |||||||
\(488\) | 4.29964 | + | 5.74364i | 0.194635 | + | 0.260003i | ||||
\(489\) | −8.75849 | − | 13.6285i | −0.396073 | − | 0.616301i | ||||
\(490\) | 15.3940 | + | 6.99510i | 0.695431 | + | 0.316007i | ||||
\(491\) | 16.5050 | + | 19.0478i | 0.744861 | + | 0.859615i | 0.994060 | − | 0.108837i | \(-0.0347127\pi\) |
−0.249199 | + | 0.968452i | \(0.580167\pi\) | |||||||
\(492\) | −4.74107 | − | 3.54912i | −0.213744 | − | 0.160007i | ||||
\(493\) | −7.13603 | − | 19.1324i | −0.321390 | − | 0.861681i | ||||
\(494\) | −2.09599 | + | 0.615438i | −0.0943030 | + | 0.0276899i | ||||
\(495\) | 0.466640 | + | 2.12577i | 0.0209739 | + | 0.0955463i | ||||
\(496\) | 0.0311208 | − | 0.0681450i | 0.00139737 | − | 0.00305980i | ||||
\(497\) | −9.29520 | + | 12.4169i | −0.416947 | + | 0.556975i | ||||
\(498\) | −3.56118 | − | 0.254701i | −0.159580 | − | 0.0114134i | ||||
\(499\) | 26.0877 | − | 11.9138i | 1.16784 | − | 0.533336i | 0.265398 | − | 0.964139i | \(-0.414497\pi\) |
0.902446 | + | 0.430803i | \(0.141769\pi\) | |||||||
\(500\) | 10.4531 | − | 3.96643i | 0.467477 | − | 0.177384i | ||||
\(501\) | −1.86253 | + | 12.9542i | −0.0832118 | + | 0.578751i | ||||
\(502\) | −3.58045 | − | 16.4590i | −0.159803 | − | 0.734603i | ||||
\(503\) | −3.02376 | − | 42.2777i | −0.134823 | − | 1.88507i | −0.393814 | − | 0.919190i | \(-0.628845\pi\) |
0.258991 | − | 0.965880i | \(-0.416610\pi\) | |||||||
\(504\) | 3.66142 | + | 1.07509i | 0.163093 | + | 0.0478884i | ||||
\(505\) | −1.69319 | + | 24.3194i | −0.0753460 | + | 1.08220i | ||||
\(506\) | −0.488151 | + | 4.64223i | −0.0217010 | + | 0.206372i | ||||
\(507\) | −9.08605 | + | 9.08605i | −0.403525 | + | 0.403525i | ||||
\(508\) | 0.372763 | + | 0.682665i | 0.0165387 | + | 0.0302884i | ||||
\(509\) | −8.01055 | − | 6.94118i | −0.355061 | − | 0.307662i | 0.459006 | − | 0.888433i | \(-0.348206\pi\) |
−0.814067 | + | 0.580771i | \(0.802751\pi\) | |||||||
\(510\) | −13.9578 | + | 2.03375i | −0.618064 | + | 0.0900561i | ||||
\(511\) | 8.45735 | + | 1.21598i | 0.374131 | + | 0.0537920i | ||||
\(512\) | 0.212565 | − | 0.977147i | 0.00939415 | − | 0.0431842i | ||||
\(513\) | −5.27780 | − | 1.96852i | −0.233021 | − | 0.0869122i | ||||
\(514\) | 4.52431 | − | 3.92034i | 0.199559 | − | 0.172919i | ||||
\(515\) | −17.3017 | + | 20.0436i | −0.762406 | + | 0.883229i | ||||
\(516\) | 1.76537 | + | 0.806216i | 0.0777160 | + | 0.0354917i | ||||
\(517\) | −8.79418 | − | 4.80199i | −0.386768 | − | 0.211191i | ||||
\(518\) | −28.5874 | − | 15.6099i | −1.25606 | − | 0.685860i | ||||
\(519\) | −6.92126 | − | 3.16083i | −0.303810 | − | 0.138745i | ||||
\(520\) | −0.0634957 | − | 0.864825i | −0.00278447 | − | 0.0379251i | ||||
\(521\) | −19.8959 | + | 17.2399i | −0.871654 | + | 0.755292i | −0.970828 | − | 0.239778i | \(-0.922925\pi\) |
0.0991738 | + | 0.995070i | \(0.468380\pi\) | |||||||
\(522\) | 3.03302 | + | 1.13126i | 0.132752 | + | 0.0495138i | ||||
\(523\) | 1.92103 | − | 8.83084i | 0.0840008 | − | 0.386146i | −0.915882 | − | 0.401447i | \(-0.868507\pi\) |
0.999883 | + | 0.0153018i | \(0.00487091\pi\) | |||||||
\(524\) | −6.47140 | − | 0.930447i | −0.282704 | − | 0.0406468i | ||||
\(525\) | 12.4402 | − | 14.4668i | 0.542934 | − | 0.631383i | ||||
\(526\) | 5.26913 | + | 4.56573i | 0.229745 | + | 0.199075i | ||||
\(527\) | 0.226478 | + | 0.414763i | 0.00986552 | + | 0.0180673i | ||||
\(528\) | 0.688234 | − | 0.688234i | 0.0299515 | − | 0.0299515i | ||||
\(529\) | −4.78420 | + | 22.4969i | −0.208009 | + | 0.978127i | ||||
\(530\) | −28.4178 | − | 1.97853i | −1.23439 | − | 0.0859419i | ||||
\(531\) | 11.7389 | + | 3.44685i | 0.509425 | + | 0.149581i | ||||
\(532\) | 1.53346 | + | 21.4406i | 0.0664840 | + | 0.929568i | ||||
\(533\) | 0.488198 | + | 2.24421i | 0.0211462 | + | 0.0972075i | ||||
\(534\) | −0.180498 | + | 1.25539i | −0.00781093 | + | 0.0543262i | ||||
\(535\) | −10.7911 | + | 37.0096i | −0.466540 | + | 1.60006i | ||||
\(536\) | 4.27111 | − | 1.95055i | 0.184484 | − | 0.0842509i | ||||
\(537\) | −24.7365 | − | 1.76919i | −1.06746 | − | 0.0763462i | ||||
\(538\) | 6.48217 | − | 8.65917i | 0.279466 | − | 0.373323i | ||||
\(539\) | 3.05746 | − | 6.69491i | 0.131694 | − | 0.288370i | ||||
\(540\) | 1.20535 | − | 1.88338i | 0.0518702 | − | 0.0810478i | ||||
\(541\) | −20.1977 | + | 5.93057i | −0.868366 | + | 0.254975i | −0.685420 | − | 0.728148i | \(-0.740381\pi\) |
−0.182946 | + | 0.983123i | \(0.558563\pi\) | |||||||
\(542\) | 6.19060 | + | 16.5976i | 0.265909 | + | 0.712929i | ||||
\(543\) | −19.0244 | − | 14.2415i | −0.816415 | − | 0.611160i | ||||
\(544\) | 4.13090 | + | 4.76731i | 0.177111 | + | 0.204397i | ||||
\(545\) | −25.5208 | + | 9.57372i | −1.09319 | + | 0.410093i | ||||
\(546\) | −0.800069 | − | 1.24493i | −0.0342398 | − | 0.0532782i | ||||
\(547\) | −0.812063 | − | 1.08479i | −0.0347213 | − | 0.0463822i | 0.782845 | − | 0.622217i | \(-0.213768\pi\) |
−0.817566 | + | 0.575835i | \(0.804677\pi\) | |||||||
\(548\) | −6.04013 | + | 1.31395i | −0.258021 | + | 0.0561291i | ||||
\(549\) | 4.69843 | − | 5.42228i | 0.200524 | − | 0.231417i | ||||
\(550\) | −1.71790 | − | 4.55325i | −0.0732514 | − | 0.194151i | ||||
\(551\) | 18.2346i | 0.776818i | ||||||||
\(552\) | 3.72721 | − | 3.01793i | 0.158641 | − | 0.128452i | ||||
\(553\) | −15.7614 | − | 15.7614i | −0.670241 | − | 0.670241i | ||||
\(554\) | −1.95791 | + | 6.66801i | −0.0831834 | + | 0.283297i | ||||
\(555\) | −13.4704 | + | 13.5213i | −0.571785 | + | 0.573949i | ||||
\(556\) | −15.0434 | − | 9.66779i | −0.637981 | − | 0.410006i | ||||
\(557\) | −25.8650 | + | 19.3623i | −1.09593 | + | 0.820406i | −0.984851 | − | 0.173405i | \(-0.944523\pi\) |
−0.111084 | + | 0.993811i | \(0.535432\pi\) | |||||||
\(558\) | −0.0732029 | − | 0.0159243i | −0.00309893 | − | 0.000674130i | ||||
\(559\) | −0.312653 | − | 0.684614i | −0.0132238 | − | 0.0289561i | ||||
\(560\) | −8.44826 | − | 1.19839i | −0.357004 | − | 0.0506413i | ||||
\(561\) | 0.873769 | + | 6.07719i | 0.0368905 | + | 0.256579i | ||||
\(562\) | −1.59553 | + | 0.595103i | −0.0673035 | + | 0.0251029i | ||||
\(563\) | −14.5654 | + | 26.6745i | −0.613857 | + | 1.12420i | 0.367139 | + | 0.930166i | \(0.380337\pi\) |
−0.980996 | + | 0.194029i | \(0.937844\pi\) | |||||||
\(564\) | 2.90032 | + | 9.87758i | 0.122125 | + | 0.415921i | ||||
\(565\) | 28.8324 | − | 8.52514i | 1.21299 | − | 0.358655i | ||||
\(566\) | −26.1483 | + | 3.75956i | −1.09910 | + | 0.158026i | ||||
\(567\) | 0.272230 | − | 3.80628i | 0.0114326 | − | 0.159849i | ||||
\(568\) | 1.42045 | − | 3.80836i | 0.0596006 | − | 0.159795i | ||||
\(569\) | 23.9467 | − | 15.3896i | 1.00390 | − | 0.645167i | 0.0680917 | − | 0.997679i | \(-0.478309\pi\) |
0.935807 | + | 0.352512i | \(0.114673\pi\) | |||||||
\(570\) | 12.3129 | + | 2.65415i | 0.515729 | + | 0.111170i | ||||
\(571\) | 3.09902 | − | 4.82216i | 0.129690 | − | 0.201801i | −0.770336 | − | 0.637639i | \(-0.779911\pi\) |
0.900025 | + | 0.435837i | \(0.143548\pi\) | |||||||
\(572\) | −0.376490 | + | 0.0269271i | −0.0157418 | + | 0.00112588i | ||||
\(573\) | −5.04267 | + | 2.75351i | −0.210661 | + | 0.115029i | ||||
\(574\) | 22.5996 | 0.943290 | ||||||||
\(575\) | −6.07201 | − | 23.1976i | −0.253220 | − | 0.967409i | ||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | 9.65305 | − | 5.27096i | 0.401862 | − | 0.219433i | −0.265590 | − | 0.964086i | \(-0.585567\pi\) |
0.667452 | + | 0.744653i | \(0.267385\pi\) | |||||||
\(578\) | −22.7335 | + | 1.62593i | −0.945588 | + | 0.0676298i | ||||
\(579\) | 2.45520 | − | 3.82037i | 0.102035 | − | 0.158769i | ||||
\(580\) | −7.07589 | − | 1.52527i | −0.293810 | − | 0.0633335i | ||||
\(581\) | 11.4614 | − | 7.36579i | 0.475499 | − | 0.305584i | ||||
\(582\) | 4.65163 | − | 12.4715i | 0.192816 | − | 0.516960i | ||||
\(583\) | −0.884574 | + | 12.3680i | −0.0366353 | + | 0.512229i | ||||
\(584\) | −2.21629 | + | 0.318654i | −0.0917107 | + | 0.0131860i | ||||
\(585\) | −0.831564 | + | 0.245876i | −0.0343809 | + | 0.0101657i | ||||
\(586\) | −3.74801 | − | 12.7646i | −0.154829 | − | 0.527299i | ||||
\(587\) | 23.0673 | − | 42.2446i | 0.952090 | − | 1.74362i | 0.374729 | − | 0.927134i | \(-0.377736\pi\) |
0.577361 | − | 0.816489i | \(-0.304082\pi\) | |||||||
\(588\) | −7.08507 | + | 2.64259i | −0.292183 | + | 0.108979i | ||||
\(589\) | −0.0600559 | − | 0.417698i | −0.00247456 | − | 0.0172109i | ||||
\(590\) | −27.0860 | − | 3.84217i | −1.11511 | − | 0.158179i | ||||
\(591\) | 6.43955 | + | 14.1006i | 0.264888 | + | 0.580023i | ||||
\(592\) | 8.34048 | + | 1.81436i | 0.342792 | + | 0.0745697i | ||||
\(593\) | 17.5347 | − | 13.1263i | 0.720062 | − | 0.539032i | −0.175221 | − | 0.984529i | \(-0.556064\pi\) |
0.895283 | + | 0.445497i | \(0.146973\pi\) | |||||||
\(594\) | −0.818800 | − | 0.526211i | −0.0335958 | − | 0.0215907i | ||||
\(595\) | 37.9885 | − | 38.1323i | 1.55738 | − | 1.56327i | ||||
\(596\) | −6.62207 | + | 22.5527i | −0.271251 | + | 0.923795i | ||||
\(597\) | −2.42308 | − | 2.42308i | −0.0991702 | − | 0.0991702i | ||||
\(598\) | −1.85880 | − | 0.0620502i | −0.0760120 | − | 0.00253742i | ||||
\(599\) | − | 3.34715i | − | 0.136761i | −0.997659 | − | 0.0683805i | \(-0.978217\pi\) | ||
0.997659 | − | 0.0683805i | \(-0.0217832\pi\) | |||||||
\(600\) | −2.05988 | + | 4.55597i | −0.0840942 | + | 0.185997i | ||||
\(601\) | 12.4486 | − | 14.3665i | 0.507790 | − | 0.586021i | −0.442741 | − | 0.896649i | \(-0.645994\pi\) |
0.950531 | + | 0.310628i | \(0.100539\pi\) | |||||||
\(602\) | −7.23665 | + | 1.57424i | −0.294944 | + | 0.0641611i | ||||
\(603\) | −2.81386 | − | 3.75888i | −0.114589 | − | 0.153073i | ||||
\(604\) | 4.05765 | + | 6.31383i | 0.165103 | + | 0.256906i | ||||
\(605\) | 21.0463 | − | 7.89518i | 0.855654 | − | 0.320985i | ||||
\(606\) | −7.13949 | − | 8.23941i | −0.290022 | − | 0.334703i | ||||
\(607\) | 17.6523 | + | 13.2144i | 0.716486 | + | 0.536354i | 0.894167 | − | 0.447734i | \(-0.147769\pi\) |
−0.177681 | + | 0.984088i | \(0.556860\pi\) | |||||||
\(608\) | −1.96852 | − | 5.27780i | −0.0798339 | − | 0.214043i | ||||
\(609\) | −11.8525 | + | 3.48020i | −0.480286 | + | 0.141025i | ||||
\(610\) | −8.64805 | + | 13.5127i | −0.350149 | + | 0.547113i | ||||
\(611\) | 1.65845 | − | 3.63149i | 0.0670936 | − | 0.146914i | ||||
\(612\) | 3.78028 | − | 5.04986i | 0.152809 | − | 0.204128i | ||||
\(613\) | −45.3100 | − | 3.24063i | −1.83005 | − | 0.130888i | −0.886630 | − | 0.462479i | \(-0.846960\pi\) |
−0.943423 | + | 0.331591i | \(0.892415\pi\) | |||||||
\(614\) | −0.374782 | + | 0.171157i | −0.0151250 | + | 0.00690735i | ||||
\(615\) | 3.70690 | − | 12.7133i | 0.149477 | − | 0.512651i | ||||
\(616\) | −0.528578 | + | 3.67634i | −0.0212970 | + | 0.148124i | ||||
\(617\) | −0.646927 | − | 2.97387i | −0.0260443 | − | 0.119724i | 0.962289 | − | 0.272028i | \(-0.0876943\pi\) |
−0.988334 | + | 0.152304i | \(0.951331\pi\) | |||||||
\(618\) | −0.844758 | − | 11.8113i | −0.0339812 | − | 0.475119i | ||||
\(619\) | 44.5335 | + | 13.0762i | 1.78995 | + | 0.525577i | 0.996540 | − | 0.0831103i | \(-0.0264854\pi\) |
0.793410 | + | 0.608687i | \(0.208304\pi\) | |||||||
\(620\) | 0.167110 | + | 0.0116347i | 0.00671132 | + | 0.000467262i | ||||
\(621\) | −3.74124 | − | 3.00053i | −0.150131 | − | 0.120407i | ||||
\(622\) | −12.5673 | + | 12.5673i | −0.503903 | + | 0.503903i | ||||
\(623\) | −2.31949 | − | 4.24783i | −0.0929284 | − | 0.170186i | ||||
\(624\) | 0.293081 | + | 0.253957i | 0.0117326 | + | 0.0101664i | ||||
\(625\) | 16.5138 | + | 18.7695i | 0.660552 | + | 0.750780i | ||||
\(626\) | 16.4564 | + | 2.36608i | 0.657731 | + | 0.0945675i | ||||
\(627\) | 1.16541 | − | 5.35732i | 0.0465421 | − | 0.213951i | ||||
\(628\) | 8.75347 | + | 3.26488i | 0.349301 | + | 0.130283i | ||||
\(629\) | −40.6916 | + | 35.2594i | −1.62248 | + | 1.40589i | ||||
\(630\) | 0.624801 | + | 8.50993i | 0.0248927 | + | 0.339044i | ||||
\(631\) | −38.8330 | − | 17.7344i | −1.54592 | − | 0.705996i | −0.553956 | − | 0.832546i | \(-0.686882\pi\) |
−0.991960 | + | 0.126550i | \(0.959610\pi\) | |||||||
\(632\) | 5.12668 | + | 2.79938i | 0.203928 | + | 0.111353i | ||||
\(633\) | 0.917916 | + | 0.501220i | 0.0364839 | + | 0.0199217i | ||||
\(634\) | −23.9767 | − | 10.9498i | −0.952235 | − | 0.434871i | ||||
\(635\) | −1.13647 | + | 1.31657i | −0.0450994 | + | 0.0522466i | ||||
\(636\) | 9.62793 | − | 8.34265i | 0.381772 | − | 0.330808i | ||||
\(637\) | 2.74761 | + | 1.02480i | 0.108864 | + | 0.0406042i | ||||
\(638\) | −0.669733 | + | 3.07871i | −0.0265150 | + | 0.121887i | ||||
\(639\) | −4.02327 | − | 0.578459i | −0.159158 | − | 0.0228835i | ||||
\(640\) | 2.21270 | − | 0.322406i | 0.0874648 | − | 0.0127442i | ||||
\(641\) | −20.4667 | − | 17.7345i | −0.808385 | − | 0.700470i | 0.149141 | − | 0.988816i | \(-0.452349\pi\) |
−0.957526 | + | 0.288346i | \(0.906895\pi\) | |||||||
\(642\) | −8.26245 | − | 15.1315i | −0.326093 | − | 0.597194i | ||||
\(643\) | −32.8220 | + | 32.8220i | −1.29437 | + | 1.29437i | −0.362316 | + | 0.932055i | \(0.618014\pi\) |
−0.932055 | + | 0.362316i | \(0.881986\pi\) | |||||||
\(644\) | −4.48459 | + | 17.7429i | −0.176718 | + | 0.699169i | ||||
\(645\) | −0.301410 | + | 4.32917i | −0.0118680 | + | 0.170461i | ||||
\(646\) | 34.0937 | + | 10.0108i | 1.34140 | + | 0.393870i | ||||
\(647\) | −0.0598213 | − | 0.836411i | −0.00235182 | − | 0.0328827i | 0.996141 | − | 0.0877708i | \(-0.0279743\pi\) |
−0.998493 | + | 0.0548881i | \(0.982520\pi\) | |||||||
\(648\) | 0.212565 | + | 0.977147i | 0.00835035 | + | 0.0383860i | ||||
\(649\) | −1.69467 | + | 11.7867i | −0.0665218 | + | 0.462669i | ||||
\(650\) | 1.76073 | − | 0.812152i | 0.0690616 | − | 0.0318552i | ||||
\(651\) | 0.260041 | − | 0.118757i | 0.0101918 | − | 0.00465445i | ||||
\(652\) | −16.1589 | − | 1.15571i | −0.632832 | − | 0.0452611i | ||||
\(653\) | 17.9671 | − | 24.0012i | 0.703106 | − | 0.939239i | −0.296771 | − | 0.954949i | \(-0.595910\pi\) |
0.999877 | + | 0.0157094i | \(0.00500066\pi\) | |||||||
\(654\) | 5.06386 | − | 11.0883i | 0.198013 | − | 0.433587i | ||||
\(655\) | −3.13453 | − | 14.2793i | −0.122476 | − | 0.557939i | ||||
\(656\) | −5.68244 | + | 1.66851i | −0.221862 | + | 0.0651445i | ||||
\(657\) | 0.782478 | + | 2.09790i | 0.0305274 | + | 0.0818470i | ||||
\(658\) | −31.4486 | − | 23.5421i | −1.22599 | − | 0.917766i | ||||
\(659\) | −12.5771 | − | 14.5147i | −0.489934 | − | 0.565414i | 0.455914 | − | 0.890024i | \(-0.349312\pi\) |
−0.945848 | + | 0.324610i | \(0.894767\pi\) | |||||||
\(660\) | 1.98141 | + | 0.900362i | 0.0771265 | + | 0.0350465i | ||||
\(661\) | −0.970932 | − | 1.51080i | −0.0377649 | − | 0.0587633i | 0.821858 | − | 0.569693i | \(-0.192938\pi\) |
−0.859623 | + | 0.510929i | \(0.829301\pi\) | |||||||
\(662\) | −17.0555 | − | 22.7834i | −0.662879 | − | 0.885503i | ||||
\(663\) | −2.39037 | + | 0.519994i | −0.0928344 | + | 0.0201949i | ||||
\(664\) | −2.33804 | + | 2.69824i | −0.0907334 | + | 0.104712i | ||||
\(665\) | −43.6838 | + | 20.0495i | −1.69398 | + | 0.777487i | ||||
\(666\) | − | 8.53554i | − | 0.330746i | ||||||
\(667\) | −4.86834 | + | 14.7416i | −0.188503 | + | 0.570797i | ||||
\(668\) | 9.25419 | + | 9.25419i | 0.358056 | + | 0.358056i | ||||
\(669\) | 4.09979 | − | 13.9626i | 0.158507 | − | 0.539825i | ||||
\(670\) | 7.43812 | + | 7.41008i | 0.287360 | + | 0.286276i | ||||
\(671\) | 5.87464 | + | 3.77540i | 0.226788 | + | 0.145748i | ||||
\(672\) | 3.05486 | − | 2.28684i | 0.117844 | − | 0.0882169i | ||||
\(673\) | −0.167349 | − | 0.0364046i | −0.00645083 | − | 0.00140329i | 0.209339 | − | 0.977843i | \(-0.432869\pi\) |
−0.215790 | + | 0.976440i | \(0.569233\pi\) | |||||||
\(674\) | 11.5543 | + | 25.3004i | 0.445056 | + | 0.974537i | ||||
\(675\) | 4.88971 | + | 1.04436i | 0.188205 | + | 0.0401975i | ||||
\(676\) | 1.82869 | + | 12.7188i | 0.0703342 | + | 0.489185i | ||||
\(677\) | 47.6441 | − | 17.7703i | 1.83111 | − | 0.682969i | 0.841302 | − | 0.540566i | \(-0.181790\pi\) |
0.989809 | − | 0.142403i | \(-0.0454830\pi\) | |||||||
\(678\) | −6.44401 | + | 11.8013i | −0.247481 | + | 0.453227i | ||||
\(679\) | 14.3103 | + | 48.7363i | 0.549178 | + | 1.87033i | ||||
\(680\) | −6.73652 | + | 12.3926i | −0.258334 | + | 0.475235i | ||||
\(681\) | 9.37005 | − | 1.34721i | 0.359061 | − | 0.0516252i | ||||
\(682\) | 0.00520173 | − | 0.0727296i | 0.000199184 | − | 0.00278496i | ||||
\(683\) | 6.01902 | − | 16.1376i | 0.230311 | − | 0.617488i | −0.769464 | − | 0.638690i | \(-0.779477\pi\) |
0.999775 | + | 0.0212019i | \(0.00674929\pi\) | |||||||
\(684\) | −4.73875 | + | 3.04541i | −0.181191 | + | 0.116444i | ||||
\(685\) | −7.49469 | − | 11.6137i | −0.286358 | − | 0.443736i | ||||
\(686\) | 1.15914 | − | 1.80365i | 0.0442561 | − | 0.0688638i | ||||
\(687\) | 3.30993 | − | 0.236731i | 0.126282 | − | 0.00903185i | ||||
\(688\) | 1.70335 | − | 0.930102i | 0.0649398 | − | 0.0354598i | ||||
\(689\) | −4.94044 | −0.188216 | ||||||||
\(690\) | 9.24563 | + | 5.43307i | 0.351975 | + | 0.206834i | ||||
\(691\) | 11.7454 | 0.446816 | 0.223408 | − | 0.974725i | \(-0.428282\pi\) | ||||
0.223408 | + | 0.974725i | \(0.428282\pi\) | |||||||
\(692\) | −6.67813 | + | 3.64654i | −0.253865 | + | 0.138621i | ||||
\(693\) | 3.70468 | − | 0.264964i | 0.140729 | − | 0.0100652i | ||||
\(694\) | −1.21978 | + | 1.89801i | −0.0463021 | + | 0.0720474i | ||||
\(695\) | 8.42573 | − | 39.0878i | 0.319606 | − | 1.48268i | ||||
\(696\) | 2.72324 | − | 1.75012i | 0.103224 | − | 0.0663380i | ||||
\(697\) | 13.0554 | − | 35.0029i | 0.494509 | − | 1.32583i | ||||
\(698\) | 0.468772 | − | 6.55430i | 0.0177433 | − | 0.248084i | ||||
\(699\) | −6.33644 | + | 0.911043i | −0.239666 | + | 0.0344588i | ||||
\(700\) | −4.12615 | − | 18.6285i | −0.155954 | − | 0.704091i | ||||
\(701\) | −1.57999 | − | 5.38096i | −0.0596755 | − | 0.203236i | 0.924259 | − | 0.381766i | \(-0.124684\pi\) |
−0.983934 | + | 0.178530i | \(0.942866\pi\) | |||||||
\(702\) | 0.185854 | − | 0.340366i | 0.00701460 | − | 0.0128463i | ||||
\(703\) | 45.0489 | − | 16.8024i | 1.69905 | − | 0.633713i | ||||
\(704\) | −0.138516 | − | 0.963402i | −0.00522053 | − | 0.0363096i | ||||
\(705\) | −18.4019 | + | 13.8298i | −0.693055 | + | 0.520860i | ||||
\(706\) | −13.3060 | − | 29.1361i | −0.500778 | − | 1.09655i | ||||
\(707\) | 40.6524 | + | 8.84339i | 1.52889 | + | 0.332590i | ||||
\(708\) | 9.79420 | − | 7.33185i | 0.368089 | − | 0.275548i | ||||
\(709\) | −14.9460 | − | 9.60521i | −0.561309 | − | 0.360731i | 0.229013 | − | 0.973423i | \(-0.426450\pi\) |
−0.790322 | + | 0.612692i | \(0.790087\pi\) | |||||||
\(710\) | 9.08880 | − | 0.0171685i | 0.341097 | − | 0.000644321i | ||||
\(711\) | 1.64565 | − | 5.60457i | 0.0617167 | − | 0.210188i | ||||
\(712\) | 0.896826 | + | 0.896826i | 0.0336100 | + | 0.0336100i | ||||
\(713\) | 0.0629671 | − | 0.353719i | 0.00235814 | − | 0.0132469i | ||||
\(714\) | 24.0715i | 0.900854i | ||||||||
\(715\) | −0.352063 | − | 0.767073i | −0.0131664 | − | 0.0286869i | ||||
\(716\) | −16.2403 | + | 18.7424i | −0.606930 | + | 0.700435i | ||||
\(717\) | 5.99556 | − | 1.30425i | 0.223908 | − | 0.0487083i | ||||
\(718\) | 13.9552 | + | 18.6420i | 0.520803 | + | 0.695712i | ||||
\(719\) | 5.39152 | + | 8.38937i | 0.201070 | + | 0.312871i | 0.927115 | − | 0.374776i | \(-0.122280\pi\) |
−0.726046 | + | 0.687646i | \(0.758644\pi\) | |||||||
\(720\) | −0.785382 | − | 2.09360i | −0.0292695 | − | 0.0780240i | ||||
\(721\) | 29.5911 | + | 34.1500i | 1.10203 | + | 1.27181i | ||||
\(722\) | −10.1911 | − | 7.62895i | −0.379273 | − | 0.283920i | ||||
\(723\) | 1.57650 | + | 4.22676i | 0.0586307 | + | 0.157195i | ||||
\(724\) | −22.8018 | + | 6.69521i | −0.847422 | + | 0.248825i | ||||
\(725\) | −2.36396 | − | 16.0120i | −0.0877952 | − | 0.594672i | ||||
\(726\) | −4.17603 | + | 9.14423i | −0.154987 | + | 0.339374i | ||||
\(727\) | 6.63141 | − | 8.85852i | 0.245945 | − | 0.328544i | −0.660533 | − | 0.750797i | \(-0.729670\pi\) |
0.906478 | + | 0.422253i | \(0.138761\pi\) | |||||||
\(728\) | −1.47608 | − | 0.105572i | −0.0547073 | − | 0.00391274i | ||||
\(729\) | 0.909632 | − | 0.415415i | 0.0336901 | − | 0.0153857i | ||||
\(730\) | −2.40777 | − | 4.38976i | −0.0891155 | − | 0.162472i | ||||
\(731\) | −1.74227 | + | 12.1177i | −0.0644401 | + | 0.448191i | ||||
\(732\) | −1.52509 | − | 7.01074i | −0.0563690 | − | 0.259124i | ||||
\(733\) | −3.71338 | − | 51.9199i | −0.137157 | − | 1.91770i | −0.343376 | − | 0.939198i | \(-0.611570\pi\) |
0.206219 | − | 0.978506i | \(-0.433884\pi\) | |||||||
\(734\) | 24.7997 | + | 7.28186i | 0.915375 | + | 0.268778i | ||||
\(735\) | −11.0970 | − | 12.7579i | −0.409320 | − | 0.470582i | ||||
\(736\) | −0.182343 | − | 4.79236i | −0.00672126 | − | 0.176649i | ||||
\(737\) | 3.23155 | − | 3.23155i | 0.119036 | − | 0.119036i | ||||
\(738\) | 2.83827 | + | 5.19791i | 0.104478 | + | 0.191338i | ||||
\(739\) | 15.7237 | + | 13.6247i | 0.578407 | + | 0.501193i | 0.894219 | − | 0.447629i | \(-0.147731\pi\) |
−0.315812 | + | 0.948822i | \(0.602277\pi\) | |||||||
\(740\) | 2.75191 | + | 18.8866i | 0.101162 | + | 0.694286i | ||||
\(741\) | 2.16224 | + | 0.310883i | 0.0794319 | + | 0.0114206i | ||||
\(742\) | −10.3337 | + | 47.5032i | −0.379362 | + | 1.74390i | ||||
\(743\) | 22.4603 | + | 8.37725i | 0.823987 | + | 0.307331i | 0.725860 | − | 0.687842i | \(-0.241442\pi\) |
0.0981273 | + | 0.995174i | \(0.468715\pi\) | |||||||
\(744\) | −0.0566169 | + | 0.0490589i | −0.00207568 | + | 0.00179859i | ||||
\(745\) | −52.4173 | + | 3.84849i | −1.92042 | + | 0.140998i | ||||
\(746\) | −9.98465 | − | 4.55984i | −0.365564 | − | 0.166948i | ||||
\(747\) | 3.13356 | + | 1.71105i | 0.114651 | + | 0.0626042i | ||||
\(748\) | 5.38867 | + | 2.94244i | 0.197029 | + | 0.107586i | ||||
\(749\) | 59.8441 | + | 27.3299i | 2.18666 | + | 0.998613i | ||||
\(750\) | −11.1562 | − | 0.734387i | −0.407367 | − | 0.0268160i | ||||
\(751\) | −9.27102 | + | 8.03339i | −0.338304 | + | 0.293142i | −0.807399 | − | 0.590005i | \(-0.799126\pi\) |
0.469095 | + | 0.883148i | \(0.344580\pi\) | |||||||
\(752\) | 9.64551 | + | 3.59759i | 0.351735 | + | 0.131191i | ||||
\(753\) | −3.58045 | + | 16.4590i | −0.130479 | + | 0.599801i | ||||
\(754\) | −1.24258 | − | 0.178657i | −0.0452522 | − | 0.00650629i | ||||
\(755\) | −10.0318 | + | 13.4539i | −0.365096 | + | 0.489637i | ||||
\(756\) | −2.88394 | − | 2.49895i | −0.104888 | − | 0.0908859i | ||||
\(757\) | −15.5440 | − | 28.4667i | −0.564955 | − | 1.03464i | −0.991492 | − | 0.130168i | \(-0.958448\pi\) |
0.426537 | − | 0.904470i | \(-0.359734\pi\) | |||||||
\(758\) | −3.60036 | + | 3.60036i | −0.130771 | + | 0.130771i | ||||
\(759\) | 2.37249 | − | 4.01994i | 0.0861160 | − | 0.145914i | ||||
\(760\) | 9.50358 | − | 8.26638i | 0.344731 | − | 0.299853i | ||||
\(761\) | 14.7640 | + | 4.33509i | 0.535193 | + | 0.157147i | 0.538150 | − | 0.842849i | \(-0.319123\pi\) |
−0.00295758 | + | 0.999996i | \(0.500941\pi\) | |||||||
\(762\) | −0.0554882 | − | 0.775826i | −0.00201012 | − | 0.0281052i | ||||
\(763\) | 9.88782 | + | 45.4536i | 0.357963 | + | 1.64553i | ||||
\(764\) | −0.817665 | + | 5.68698i | −0.0295821 | + | 0.205748i | ||||
\(765\) | 13.5414 | + | 3.94833i | 0.489589 | + | 0.142752i | ||||
\(766\) | 2.05074 | − | 0.936540i | 0.0740961 | − | 0.0338386i | ||||
\(767\) | −4.73247 | − | 0.338473i | −0.170880 | − | 0.0122215i | ||||
\(768\) | −0.599278 | + | 0.800541i | −0.0216246 | + | 0.0288870i | ||||
\(769\) | 17.8823 | − | 39.1569i | 0.644854 | − | 1.41203i | −0.251133 | − | 0.967953i | \(-0.580803\pi\) |
0.895987 | − | 0.444081i | \(-0.146470\pi\) | |||||||
\(770\) | −8.11194 | + | 1.78070i | −0.292334 | + | 0.0641719i | ||||
\(771\) | −5.74403 | + | 1.68660i | −0.206866 | + | 0.0607414i | ||||
\(772\) | −1.58701 | − | 4.25495i | −0.0571179 | − | 0.153139i | ||||
\(773\) | 23.3442 | + | 17.4752i | 0.839632 | + | 0.628541i | 0.930079 | − | 0.367361i | \(-0.119738\pi\) |
−0.0904464 | + | 0.995901i | \(0.528829\pi\) | |||||||
\(774\) | −1.27092 | − | 1.46672i | −0.0456823 | − | 0.0527202i | ||||
\(775\) | 0.106887 | + | 0.359001i | 0.00383949 | + | 0.0128957i | ||||
\(776\) | −7.19633 | − | 11.1977i | −0.258333 | − | 0.401974i | ||||
\(777\) | 19.5194 | + | 26.0749i | 0.700256 | + | 0.935433i | ||||
\(778\) | 26.7344 | − | 5.81571i | 0.958475 | − | 0.208503i | ||||
\(779\) | −21.8463 | + | 25.2120i | −0.782726 | + | 0.903314i | ||||
\(780\) | −0.301503 | + | 0.813049i | −0.0107956 | + | 0.0291118i | ||||
\(781\) | − | 3.95615i | − | 0.141562i | ||||||
\(782\) | 24.8901 | + | 17.1957i | 0.890067 | + | 0.614915i | ||||
\(783\) | −2.28899 | − | 2.28899i | −0.0818017 | − | 0.0818017i | ||||
\(784\) | −2.13042 | + | 7.25554i | −0.0760864 | + | 0.259126i | ||||
\(785\) | 0.0394614 | + | 20.8905i | 0.00140844 | + | 0.745613i | ||||
\(786\) | 5.50007 | + | 3.53468i | 0.196181 | + | 0.126078i | ||||
\(787\) | 3.37974 | − | 2.53004i | 0.120475 | − | 0.0901863i | −0.537341 | − | 0.843365i | \(-0.680571\pi\) |
0.657816 | + | 0.753179i | \(0.271480\pi\) | |||||||
\(788\) | 15.1472 | + | 3.29508i | 0.539597 | + | 0.117382i | ||||
\(789\) | −2.89630 | − | 6.34201i | −0.103111 | − | 0.225781i | ||||
\(790\) | −1.83439 | + | 12.9318i | −0.0652646 | + | 0.460093i | ||||
\(791\) | −7.30220 | − | 50.7879i | −0.259636 | − | 1.80581i | ||||
\(792\) | −0.911942 | + | 0.340137i | −0.0324044 | + | 0.0120862i | ||||
\(793\) | −1.33345 | + | 2.44202i | −0.0473521 | + | 0.0867188i | ||||
\(794\) | −0.670414 | − | 2.28322i | −0.0237921 | − | 0.0810284i | ||||
\(795\) | 25.0278 | + | 13.6049i | 0.887645 | + | 0.482516i | ||||
\(796\) | −3.39188 | + | 0.487678i | −0.120222 | + | 0.0172853i | ||||
\(797\) | −1.49961 | + | 20.9673i | −0.0531189 | + | 0.742699i | 0.899189 | + | 0.437561i | \(0.144157\pi\) |
−0.952308 | + | 0.305139i | \(0.901297\pi\) | |||||||
\(798\) | 7.51186 | − | 20.1401i | 0.265917 | − | 0.712951i | ||||
\(799\) | −54.6300 | + | 35.1086i | −1.93267 | + | 1.24205i | ||||
\(800\) | 2.41281 | + | 4.37931i | 0.0853056 | + | 0.154832i | ||||
\(801\) | 0.685697 | − | 1.06696i | 0.0242279 | − | 0.0376993i | ||||
\(802\) | 21.9411 | − | 1.56926i | 0.774767 | − | 0.0554124i | ||||
\(803\) | −1.91274 | + | 1.04444i | −0.0674991 | + | 0.0368573i | ||||
\(804\) | −4.69542 | −0.165595 | ||||||||
\(805\) | −40.6687 | + | 4.54600i | −1.43338 | + | 0.160226i | ||||
\(806\) | 0.0290522 | 0.00102332 | ||||||||
\(807\) | −9.49354 | + | 5.18386i | −0.334188 | + | 0.182481i | ||||
\(808\) | −10.8745 | + | 0.777761i | −0.382564 | + | 0.0273615i | ||||
\(809\) | −1.68679 | + | 2.62469i | −0.0593043 | + | 0.0922792i | −0.869639 | − | 0.493687i | \(-0.835649\pi\) |
0.810335 | + | 0.585967i | \(0.199285\pi\) | |||||||
\(810\) | −1.87881 | + | 1.21246i | −0.0660148 | + | 0.0426015i | ||||
\(811\) | −6.91986 | + | 4.44713i | −0.242989 | + | 0.156160i | −0.656468 | − | 0.754354i | \(-0.727950\pi\) |
0.413478 | + | 0.910514i | \(0.364314\pi\) | |||||||
\(812\) | −4.31687 | + | 11.5740i | −0.151493 | + | 0.406167i | ||||
\(813\) | 1.26374 | − | 17.6694i | 0.0443213 | − | 0.619693i | ||||
\(814\) | 8.22316 | − | 1.18231i | 0.288222 | − | 0.0414400i | ||||
\(815\) | −10.2713 | − | 34.7381i | −0.359789 | − | 1.21682i | ||||
\(816\) | −1.77718 | − | 6.05253i | −0.0622139 | − | 0.211881i | ||||
\(817\) | 5.23923 | − | 9.59493i | 0.183297 | − | 0.335684i | ||||
\(818\) | −26.4364 | + | 9.86028i | −0.924329 | + | 0.344757i | ||||
\(819\) | 0.210605 | + | 1.46479i | 0.00735914 | + | 0.0511839i | ||||
\(820\) | −7.95609 | − | 10.5864i | −0.277839 | − | 0.369691i | ||||
\(821\) | −5.88133 | − | 12.8783i | −0.205260 | − | 0.449457i | 0.778805 | − | 0.627266i | \(-0.215826\pi\) |
−0.984065 | + | 0.177810i | \(0.943099\pi\) | |||||||
\(822\) | 6.04013 | + | 1.31395i | 0.210674 | + | 0.0458292i | ||||
\(823\) | −7.55612 | + | 5.65644i | −0.263390 | + | 0.197171i | −0.722808 | − | 0.691049i | \(-0.757149\pi\) |
0.459418 | + | 0.888220i | \(0.348058\pi\) | |||||||
\(824\) | −9.96165 | − | 6.40196i | −0.347031 | − | 0.223023i | ||||
\(825\) | −0.328834 | + | 4.85542i | −0.0114485 | + | 0.169044i | ||||
\(826\) | −13.1532 | + | 44.7956i | −0.457657 | + | 1.55864i | ||||
\(827\) | 7.55843 | + | 7.55843i | 0.262832 | + | 0.262832i | 0.826204 | − | 0.563371i | \(-0.190496\pi\) |
−0.563371 | + | 0.826204i | \(0.690496\pi\) | |||||||
\(828\) | −4.64408 | + | 1.19687i | −0.161393 | + | 0.0415940i | ||||
\(829\) | 6.96694i | 0.241972i | 0.992654 | + | 0.120986i | \(0.0386056\pi\) | ||||
−0.992654 | + | 0.120986i | \(0.961394\pi\) | |||||||
\(830\) | −7.48529 | − | 2.77577i | −0.259818 | − | 0.0963485i | ||||
\(831\) | 4.55097 | − | 5.25210i | 0.157871 | − | 0.182193i | ||||
\(832\) | 0.378940 | − | 0.0824333i | 0.0131374 | − | 0.00285786i | ||||
\(833\) | −28.5859 | − | 38.1862i | −0.990442 | − | 1.32308i | ||||
\(834\) | 9.66779 | + | 15.0434i | 0.334768 | + | 0.520910i | ||||
\(835\) | −12.1065 | + | 26.6427i | −0.418964 | + | 0.922008i | ||||
\(836\) | −3.59035 | − | 4.14348i | −0.124175 | − | 0.143305i | ||||
\(837\) | 0.0599725 | + | 0.0448949i | 0.00207295 | + | 0.00155179i | ||||
\(838\) | 5.08395 | + | 13.6306i | 0.175622 | + | 0.470861i | ||||
\(839\) | −15.2990 | + | 4.49220i | −0.528181 | + | 0.155088i | −0.534941 | − | 0.844889i | \(-0.679666\pi\) |
0.00676027 | + | 0.999977i | \(0.497848\pi\) | |||||||
\(840\) | 7.18698 | + | 4.59963i | 0.247974 | + | 0.158702i | ||||
\(841\) | 7.69393 | − | 16.8474i | 0.265308 | − | 0.580943i | ||||
\(842\) | −8.59280 | + | 11.4786i | −0.296128 | + | 0.395580i | ||||
\(843\) | 1.69856 | + | 0.121484i | 0.0585016 | + | 0.00418412i | ||||
\(844\) | 0.951334 | − | 0.434460i | 0.0327463 | − | 0.0149547i | ||||
\(845\) | −25.1919 | + | 13.8177i | −0.866629 | + | 0.475343i | ||||
\(846\) | 1.46507 | − | 10.1898i | 0.0503702 | − | 0.350332i | ||||
\(847\) | −8.15421 | − | 37.4843i | −0.280182 | − | 1.28798i | ||||
\(848\) | −0.908831 | − | 12.7071i | −0.0312094 | − | 0.436364i | ||||
\(849\) | 25.3471 | + | 7.44258i | 0.869911 | + | 0.255429i | ||||
\(850\) | −31.2360 | − | 4.37067i | −1.07138 | − | 0.149913i | ||||
\(851\) | 40.9054 | − | 1.55640i | 1.40222 | − | 0.0533526i | ||||
\(852\) | −2.87414 | + | 2.87414i | −0.0984663 | + | 0.0984663i | ||||
\(853\) | −24.0316 | − | 44.0105i | −0.822825 | − | 1.50689i | −0.861568 | − | 0.507643i | \(-0.830517\pi\) |
0.0387424 | − | 0.999249i | \(-0.487665\pi\) | |||||||
\(854\) | 20.6914 | + | 17.9292i | 0.708045 | + | 0.613525i | ||||
\(855\) | −10.0976 | − | 7.52925i | −0.345331 | − | 0.257495i | ||||
\(856\) | −17.0649 | − | 2.45357i | −0.583267 | − | 0.0838612i | ||||
\(857\) | −2.98149 | + | 13.7057i | −0.101846 | + | 0.468177i | 0.897770 | + | 0.440464i | \(0.145186\pi\) |
−0.999616 | + | 0.0277129i | \(0.991178\pi\) | |||||||
\(858\) | 0.353653 | + | 0.131906i | 0.0120735 | + | 0.00450319i | ||||
\(859\) | 43.1394 | − | 37.3805i | 1.47190 | − | 1.27541i | 0.587032 | − | 0.809564i | \(-0.300296\pi\) |
0.884867 | − | 0.465844i | \(-0.154249\pi\) | |||||||
\(860\) | 3.28505 | + | 2.83566i | 0.112019 | + | 0.0966953i | ||||
\(861\) | −20.5573 | − | 9.38822i | −0.700592 | − | 0.319950i | ||||
\(862\) | 6.60367 | + | 3.60588i | 0.224922 | + | 0.122817i | ||||
\(863\) | 11.6782 | + | 6.37680i | 0.397532 | + | 0.217069i | 0.665563 | − | 0.746341i | \(-0.268191\pi\) |
−0.268032 | + | 0.963410i | \(0.586373\pi\) | |||||||
\(864\) | 0.909632 | + | 0.415415i | 0.0309463 | + | 0.0141327i | ||||
\(865\) | −12.8793 | − | 11.1174i | −0.437909 | − | 0.378004i | ||||
\(866\) | 3.74855 | − | 3.24813i | 0.127381 | − | 0.110376i | ||||
\(867\) | 21.3545 | + | 7.96483i | 0.725238 | + | 0.270500i | ||||
\(868\) | 0.0607672 | − | 0.279342i | 0.00206257 | − | 0.00948149i | ||||
\(869\) | 5.62740 | + | 0.809099i | 0.190897 | + | 0.0274468i | ||||
\(870\) | 5.80283 | + | 4.32687i | 0.196734 | + | 0.146695i | ||||
\(871\) | 1.37614 | + | 1.19243i | 0.0466288 | + | 0.0404040i | ||||
\(872\) | −5.84199 | − | 10.6988i | −0.197835 | − | 0.362307i | ||||
\(873\) | −9.41212 | + | 9.41212i | −0.318552 | + | 0.318552i | ||||
\(874\) | −15.4588 | − | 22.1545i | −0.522901 | − | 0.749387i | ||||
\(875\) | 35.7601 | − | 23.2690i | 1.20891 | − | 0.786636i | ||||
\(876\) | 2.14838 | + | 0.630821i | 0.0725871 | + | 0.0213135i | ||||
\(877\) | −2.27384 | − | 31.7925i | −0.0767823 | − | 1.07356i | −0.879093 | − | 0.476650i | \(-0.841851\pi\) |
0.802311 | − | 0.596907i | \(-0.203604\pi\) | |||||||
\(878\) | −4.40832 | − | 20.2647i | −0.148774 | − | 0.683901i | ||||
\(879\) | −1.89328 | + | 13.1680i | −0.0638587 | + | 0.444147i | ||||
\(880\) | 1.90819 | − | 1.04664i | 0.0643252 | − | 0.0352821i | ||||
\(881\) | −5.17683 | + | 2.36418i | −0.174412 | + | 0.0796513i | −0.500708 | − | 0.865617i | \(-0.666927\pi\) |
0.326296 | + | 0.945268i | \(0.394200\pi\) | |||||||
\(882\) | 7.54258 | + | 0.539456i | 0.253972 | + | 0.0181644i | ||||
\(883\) | −6.35988 | + | 8.49580i | −0.214027 | + | 0.285907i | −0.894688 | − | 0.446692i | \(-0.852602\pi\) |
0.680661 | + | 0.732599i | \(0.261693\pi\) | |||||||
\(884\) | −1.01622 | + | 2.22521i | −0.0341792 | + | 0.0748420i | ||||
\(885\) | 23.0422 | + | 14.7469i | 0.774554 | + | 0.495711i | ||||
\(886\) | −24.2183 | + | 7.11114i | −0.813631 | + | 0.238904i | ||||
\(887\) | −12.7143 | − | 34.0884i | −0.426905 | − | 1.14458i | −0.955315 | − | 0.295588i | \(-0.904484\pi\) |
0.528410 | − | 0.848989i | \(-0.322788\pi\) | |||||||
\(888\) | −6.83305 | − | 5.11516i | −0.229302 | − | 0.171654i | ||||
\(889\) | 1.94370 | + | 2.24315i | 0.0651896 | + | 0.0752328i | ||||
\(890\) | −1.17325 | + | 2.58195i | −0.0393273 | + | 0.0865471i | ||||
\(891\) | 0.526211 | + | 0.818800i | 0.0176287 | + | 0.0274308i | ||||
\(892\) | −8.72072 | − | 11.6495i | −0.291991 | − | 0.390055i | ||||
\(893\) | 56.6637 | − | 12.3264i | 1.89618 | − | 0.412489i | ||||
\(894\) | 15.3924 | − | 17.7638i | 0.514798 | − | 0.594109i | ||||
\(895\) | −51.9939 | − | 19.2809i | −1.73797 | − | 0.644491i | ||||
\(896\) | − | 3.81600i | − | 0.127484i | ||||||
\(897\) | 1.66505 | + | 0.828616i | 0.0555943 | + | 0.0276667i | ||||
\(898\) | −13.2451 | − | 13.2451i | −0.441996 | − | 0.441996i | ||||
\(899\) | 0.0683225 | − | 0.232685i | 0.00227868 | − | 0.00776049i | ||||
\(900\) | 3.76635 | − | 3.28856i | 0.125545 | − | 0.109619i | ||||
\(901\) | 67.6048 | + | 43.4470i | 2.25224 | + | 1.44743i | ||||
\(902\) | −4.61453 | + | 3.45439i | −0.153647 | + | 0.115019i | ||||
\(903\) | 7.23665 | + | 1.57424i | 0.240821 | + | 0.0523873i | ||||
\(904\) | 5.58570 | + | 12.2310i | 0.185778 | + | 0.406796i | ||||
\(905\) | −31.9252 | − | 42.4796i | −1.06123 | − | 1.41207i | ||||
\(906\) | −1.06811 | − | 7.42887i | −0.0354856 | − | 0.246808i | ||||
\(907\) | 43.9215 | − | 16.3819i | 1.45839 | − | 0.543951i | 0.509753 | − | 0.860321i | \(-0.329737\pi\) |
0.948636 | + | 0.316370i | \(0.102464\pi\) | |||||||
\(908\) | 4.53676 | − | 8.30846i | 0.150558 | − | 0.275726i | ||||
\(909\) | 3.07153 | + | 10.4607i | 0.101876 | + | 0.346959i | ||||
\(910\) | −0.938264 | − | 3.17325i | −0.0311031 | − | 0.105192i | ||||
\(911\) | 32.6492 | − | 4.69424i | 1.08172 | − | 0.155527i | 0.421667 | − | 0.906751i | \(-0.361445\pi\) |
0.660048 | + | 0.751223i | \(0.270536\pi\) | |||||||
\(912\) | −0.401851 | + | 5.61861i | −0.0133066 | + | 0.186051i | ||||
\(913\) | −1.21438 | + | 3.25589i | −0.0401902 | + | 0.107754i | ||||
\(914\) | −24.8927 | + | 15.9976i | −0.823379 | + | 0.529153i | ||||
\(915\) | 13.4799 | − | 8.69904i | 0.445632 | − | 0.287581i | ||||
\(916\) | 1.79406 | − | 2.79161i | 0.0592773 | − | 0.0922372i | ||||
\(917\) | −24.8852 | + | 1.77983i | −0.821783 | + | 0.0587751i | ||||
\(918\) | −5.53645 | + | 3.02313i | −0.182730 | + | 0.0997781i | ||||
\(919\) | 25.1454 | 0.829469 | 0.414735 | − | 0.909942i | \(-0.363874\pi\) | ||||
0.414735 | + | 0.909942i | \(0.363874\pi\) | |||||||
\(920\) | 9.89010 | − | 4.14559i | 0.326067 | − | 0.136676i | ||||
\(921\) | 0.412015 | 0.0135764 | ||||||||
\(922\) | −35.7965 | + | 19.5464i | −1.17889 | + | 0.643725i | ||||
\(923\) | 1.57226 | − | 0.112450i | 0.0517516 | − | 0.00370135i | ||||
\(924\) | 2.00802 | − | 3.12454i | 0.0660590 | − | 0.102790i | ||||
\(925\) | −37.3798 | + | 20.5946i | −1.22904 | + | 0.677147i | ||||
\(926\) | 17.3479 | − | 11.1488i | 0.570086 | − | 0.366372i | ||||
\(927\) | −4.13816 | + | 11.0948i | −0.135915 | + | 0.364402i | ||||
\(928\) | 0.230933 | − | 3.22887i | 0.00758076 | − | 0.105993i | ||||
\(929\) | −25.5589 | + | 3.67481i | −0.838560 | + | 0.120567i | −0.548196 | − | 0.836350i | \(-0.684685\pi\) |
−0.290363 | + | 0.956916i | \(0.593776\pi\) | |||||||
\(930\) | −0.147176 | − | 0.0800035i | −0.00482608 | − | 0.00262342i | ||||
\(931\) | 12.0006 | + | 40.8702i | 0.393303 | + | 1.33947i | ||||
\(932\) | −3.06796 | + | 5.61855i | −0.100494 | + | 0.184042i | ||||
\(933\) | 16.6523 | − | 6.21097i | 0.545170 | − | 0.203338i | ||||
\(934\) | −4.24008 | − | 29.4904i | −0.138740 | − | 0.964955i | ||||
\(935\) | −1.92813 | + | 13.5927i | −0.0630567 | + | 0.444528i | ||||
\(936\) | −0.161099 | − | 0.352757i | −0.00526568 | − | 0.0115302i | ||||
\(937\) | −48.3044 | − | 10.5080i | −1.57804 | − | 0.343281i | −0.663625 | − | 0.748065i | \(-0.730983\pi\) |
−0.914412 | + | 0.404784i | \(0.867347\pi\) | |||||||
\(938\) | 14.3439 | − | 10.7377i | 0.468344 | − | 0.350598i | ||||
\(939\) | −13.9864 | − | 8.98851i | −0.456429 | − | 0.293329i | ||||
\(940\) | 0.0434828 | + | 23.0193i | 0.00141825 | + | 0.750808i | ||||
\(941\) | 1.70148 | − | 5.79470i | 0.0554666 | − | 0.188902i | −0.927100 | − | 0.374815i | \(-0.877706\pi\) |
0.982566 | + | 0.185913i | \(0.0595244\pi\) | |||||||
\(942\) | −6.60616 | − | 6.60616i | −0.215240 | − | 0.215240i | ||||
\(943\) | −24.3927 | + | 14.5498i | −0.794337 | + | 0.473808i | ||||
\(944\) | − | 12.2345i | − | 0.398198i | ||||||
\(945\) | 2.96681 | − | 8.00045i | 0.0965104 | − | 0.260255i | ||||
\(946\) | 1.23700 | − | 1.42757i | 0.0402183 | − | 0.0464144i | ||||
\(947\) | −6.72134 | + | 1.46214i | −0.218414 | + | 0.0475131i | −0.320441 | − | 0.947269i | \(-0.603831\pi\) |
0.102026 | + | 0.994782i | \(0.467467\pi\) | |||||||
\(948\) | −3.50049 | − | 4.67610i | −0.113691 | − | 0.151873i | ||||
\(949\) | −0.469449 | − | 0.730477i | −0.0152390 | − | 0.0237123i | ||||
\(950\) | 24.7705 | + | 13.4045i | 0.803660 | + | 0.434898i | ||||
\(951\) | 17.2612 | + | 19.9205i | 0.559734 | + | 0.645967i | ||||
\(952\) | 19.2702 | + | 14.4255i | 0.624552 | + | 0.467534i | ||||
\(953\) | −4.74384 | − | 12.7187i | −0.153668 | − | 0.412000i | 0.837189 | − | 0.546913i | \(-0.184197\pi\) |
−0.990857 | + | 0.134913i | \(0.956925\pi\) | |||||||
\(954\) | −12.2235 | + | 3.58915i | −0.395752 | + | 0.116203i | ||||
\(955\) | −12.5485 | + | 2.75459i | −0.406059 | + | 0.0891363i | ||||
\(956\) | 2.54890 | − | 5.58130i | 0.0824372 | − | 0.180512i | ||||
\(957\) | 1.88815 | − | 2.52228i | 0.0610353 | − | 0.0815337i | ||||
\(958\) | 18.7434 | + | 1.34055i | 0.605572 | + | 0.0433113i | ||||
\(959\) | −21.4566 | + | 9.79888i | −0.692869 | + | 0.316422i | ||||
\(960\) | −2.14668 | − | 0.625919i | −0.0692837 | − | 0.0202015i | ||||
\(961\) | 4.41096 | − | 30.6789i | 0.142289 | − | 0.989642i | ||||
\(962\) | 0.703613 | + | 3.23446i | 0.0226854 | + | 0.104283i | ||||
\(963\) | 1.22992 | + | 17.1965i | 0.0396335 | + | 0.554149i | ||||
\(964\) | 4.32846 | + | 1.27095i | 0.139410 | + | 0.0409345i | ||||
\(965\) | 7.66177 | − | 6.66434i | 0.246641 | − | 0.214533i | ||||
\(966\) | 11.4500 | − | 14.2766i | 0.368398 | − | 0.459341i | ||||
\(967\) | −19.4225 | + | 19.4225i | −0.624585 | + | 0.624585i | −0.946701 | − | 0.322115i | \(-0.895606\pi\) |
0.322115 | + | 0.946701i | \(0.395606\pi\) | |||||||
\(968\) | 4.81773 | + | 8.82302i | 0.154848 | + | 0.283582i | ||||
\(969\) | −26.8541 | − | 23.2692i | −0.862677 | − | 0.747514i | ||||
\(970\) | 17.7917 | − | 23.8607i | 0.571257 | − | 0.766122i | ||||
\(971\) | 31.7495 | + | 4.56488i | 1.01889 | + | 0.146494i | 0.631462 | − | 0.775407i | \(-0.282455\pi\) |
0.387426 | + | 0.921901i | \(0.373364\pi\) | |||||||
\(972\) | 0.212565 | − | 0.977147i | 0.00681803 | − | 0.0313420i | ||||
\(973\) | −63.9356 | − | 23.8468i | −2.04968 | − | 0.764492i | ||||
\(974\) | 19.8246 | − | 17.1782i | 0.635223 | − | 0.550423i | ||||
\(975\) | −1.93900 | + | 0.00732544i | −0.0620976 | + | 0.000234602i | ||||
\(976\) | −6.52634 | − | 2.98048i | −0.208903 | − | 0.0954028i | ||||
\(977\) | 20.7390 | + | 11.3243i | 0.663499 | + | 0.362298i | 0.775444 | − | 0.631417i | \(-0.217526\pi\) |
−0.111945 | + | 0.993714i | \(0.535708\pi\) | |||||||
\(978\) | 14.2186 | + | 7.76393i | 0.454660 | + | 0.248263i | ||||
\(979\) | 1.12290 | + | 0.512810i | 0.0358879 | + | 0.0163895i | ||||
\(980\) | −16.8634 | + | 1.23812i | −0.538682 | + | 0.0395502i | ||||
\(981\) | −9.21251 | + | 7.98268i | −0.294133 | + | 0.254867i | ||||
\(982\) | −23.6147 | − | 8.80784i | −0.753577 | − | 0.281070i | ||||
\(983\) | −7.47253 | + | 34.3507i | −0.238337 | + | 1.09562i | 0.689981 | + | 0.723828i | \(0.257619\pi\) |
−0.928318 | + | 0.371788i | \(0.878745\pi\) | |||||||
\(984\) | 5.86205 | + | 0.842836i | 0.186875 | + | 0.0268686i | ||||
\(985\) | 4.99777 | + | 34.3002i | 0.159242 | + | 1.09289i | ||||
\(986\) | 15.4323 | + | 13.3722i | 0.491466 | + | 0.425857i | ||||
\(987\) | 18.8269 | + | 34.4788i | 0.599266 | + | 1.09747i | ||||
\(988\) | 1.54466 | − | 1.54466i | 0.0491421 | − | 0.0491421i | ||||
\(989\) | 6.79731 | − | 6.35816i | 0.216142 | − | 0.202178i | ||||
\(990\) | −1.42833 | − | 1.64211i | −0.0453954 | − | 0.0521896i | ||||
\(991\) | 11.0720 | + | 3.25103i | 0.351714 | + | 0.103272i | 0.452817 | − | 0.891603i | \(-0.350419\pi\) |
−0.101103 | + | 0.994876i | \(0.532237\pi\) | |||||||
\(992\) | 0.00534437 | + | 0.0747241i | 0.000169684 | + | 0.00237249i | ||||
\(993\) | 6.04961 | + | 27.8096i | 0.191979 | + | 0.882512i | ||||
\(994\) | 2.20740 | − | 15.3528i | 0.0700144 | − | 0.486961i | ||||
\(995\) | −3.68492 | − | 6.71823i | −0.116820 | − | 0.212982i | ||||
\(996\) | 3.24764 | − | 1.48315i | 0.102905 | − | 0.0469953i | ||||
\(997\) | 41.0218 | + | 2.93394i | 1.29917 | + | 0.0929187i | 0.703723 | − | 0.710474i | \(-0.251519\pi\) |
0.595449 | + | 0.803393i | \(0.296974\pi\) | |||||||
\(998\) | −17.1869 | + | 22.9590i | −0.544042 | + | 0.726755i | ||||
\(999\) | −3.54579 | + | 7.76420i | −0.112184 | + | 0.245649i |
(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 | 690.2.w.b.373.6 | yes | 240 | |
5.2 | odd | 4 | inner | 690.2.w.b.97.6 | yes | 240 | |
23.14 | odd | 22 | inner | 690.2.w.b.313.6 | yes | 240 | |
115.37 | even | 44 | inner | 690.2.w.b.37.6 | ✓ | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.w.b.37.6 | ✓ | 240 | 115.37 | even | 44 | inner | |
690.2.w.b.97.6 | yes | 240 | 5.2 | odd | 4 | inner | |
690.2.w.b.313.6 | yes | 240 | 23.14 | odd | 22 | inner | |
690.2.w.b.373.6 | yes | 240 | 1.1 | even | 1 | trivial |