Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [430,2,Mod(31,430)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(430, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([0, 34]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("430.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 430 = 2 \cdot 5 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 430.q (of order \(21\), 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: | \(3.43356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 111.3 | ||
Character | \(\chi\) | \(=\) | 430.111 |
Dual form | 430.2.q.a.31.3 |
$q$-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 \(\left(\mathbb{Z}/430\mathbb{Z}\right)^\times\).
\(n\) | \(87\) | \(261\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{4}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.900969 | − | 0.433884i | −0.637081 | − | 0.306802i | ||||
\(3\) | 0.492510 | + | 0.335788i | 0.284351 | + | 0.193867i | 0.697093 | − | 0.716981i | \(-0.254477\pi\) |
−0.412742 | + | 0.910848i | \(0.635429\pi\) | |||||||
\(4\) | 0.623490 | + | 0.781831i | 0.311745 | + | 0.390916i | ||||
\(5\) | −0.733052 | + | 0.680173i | −0.327831 | + | 0.304182i | ||||
\(6\) | −0.298043 | − | 0.516226i | −0.121676 | − | 0.210749i | ||||
\(7\) | −0.982941 | + | 1.70250i | −0.371517 | + | 0.643486i | −0.989799 | − | 0.142470i | \(-0.954495\pi\) |
0.618282 | + | 0.785956i | \(0.287829\pi\) | |||||||
\(8\) | −0.222521 | − | 0.974928i | −0.0786730 | − | 0.344689i | ||||
\(9\) | −0.966210 | − | 2.46186i | −0.322070 | − | 0.820621i | ||||
\(10\) | 0.955573 | − | 0.294755i | 0.302179 | − | 0.0932098i | ||||
\(11\) | −3.99493 | + | 5.00948i | −1.20452 | + | 1.51041i | −0.399965 | + | 0.916531i | \(0.630978\pi\) |
−0.804551 | + | 0.593884i | \(0.797594\pi\) | |||||||
\(12\) | 0.0445456 | + | 0.594420i | 0.0128592 | + | 0.171594i | ||||
\(13\) | 0.766750 | + | 0.236511i | 0.212658 | + | 0.0655963i | 0.399254 | − | 0.916840i | \(-0.369269\pi\) |
−0.186596 | + | 0.982437i | \(0.559745\pi\) | |||||||
\(14\) | 1.62429 | − | 1.10742i | 0.434109 | − | 0.295971i | ||||
\(15\) | −0.589429 | + | 0.0888421i | −0.152190 | + | 0.0229389i | ||||
\(16\) | −0.222521 | + | 0.974928i | −0.0556302 | + | 0.243732i | ||||
\(17\) | −3.05126 | − | 2.83115i | −0.740038 | − | 0.686655i | 0.217144 | − | 0.976139i | \(-0.430326\pi\) |
−0.957183 | + | 0.289484i | \(0.906516\pi\) | |||||||
\(18\) | −0.197637 | + | 2.63729i | −0.0465835 | + | 0.621614i | ||||
\(19\) | −0.838614 | + | 2.13675i | −0.192391 | + | 0.490205i | −0.994222 | − | 0.107347i | \(-0.965764\pi\) |
0.801830 | + | 0.597552i | \(0.203860\pi\) | |||||||
\(20\) | −0.988831 | − | 0.149042i | −0.221109 | − | 0.0333269i | ||||
\(21\) | −1.05579 | + | 0.508441i | −0.230392 | + | 0.110951i | ||||
\(22\) | 5.77283 | − | 2.78005i | 1.23077 | − | 0.592709i | ||||
\(23\) | −2.14071 | − | 0.322660i | −0.446369 | − | 0.0672793i | −0.0779882 | − | 0.996954i | \(-0.524850\pi\) |
−0.368381 | + | 0.929675i | \(0.620088\pi\) | |||||||
\(24\) | 0.217775 | − | 0.554882i | 0.0444531 | − | 0.113265i | ||||
\(25\) | 0.0747301 | − | 0.997204i | 0.0149460 | − | 0.199441i | ||||
\(26\) | −0.588199 | − | 0.545769i | −0.115355 | − | 0.107034i | ||||
\(27\) | 0.748721 | − | 3.28036i | 0.144091 | − | 0.631305i | ||||
\(28\) | −1.94392 | + | 0.292999i | −0.367367 | + | 0.0553717i | ||||
\(29\) | −5.99270 | + | 4.08575i | −1.11282 | + | 0.758705i | −0.972847 | − | 0.231451i | \(-0.925653\pi\) |
−0.139969 | + | 0.990156i | \(0.544700\pi\) | |||||||
\(30\) | 0.569604 | + | 0.175700i | 0.103995 | + | 0.0320782i | ||||
\(31\) | 0.318121 | + | 4.24503i | 0.0571362 | + | 0.762429i | 0.950029 | + | 0.312161i | \(0.101053\pi\) |
−0.892893 | + | 0.450269i | \(0.851328\pi\) | |||||||
\(32\) | 0.623490 | − | 0.781831i | 0.110218 | − | 0.138210i | ||||
\(33\) | −3.64966 | + | 1.12577i | −0.635325 | + | 0.195972i | ||||
\(34\) | 1.52070 | + | 3.87467i | 0.260797 | + | 0.664501i | ||||
\(35\) | −0.437450 | − | 1.91659i | −0.0739425 | − | 0.323963i | ||||
\(36\) | 1.32234 | − | 2.29036i | 0.220390 | − | 0.381727i | ||||
\(37\) | −4.21684 | − | 7.30378i | −0.693244 | − | 1.20073i | −0.970769 | − | 0.240015i | \(-0.922848\pi\) |
0.277525 | − | 0.960718i | \(-0.410486\pi\) | |||||||
\(38\) | 1.68267 | − | 1.56129i | 0.272965 | − | 0.253274i | ||||
\(39\) | 0.298214 | + | 0.373949i | 0.0477525 | + | 0.0598798i | ||||
\(40\) | 0.826239 | + | 0.563320i | 0.130640 | + | 0.0890687i | ||||
\(41\) | 10.2417 | + | 4.93216i | 1.59949 | + | 0.770274i | 0.999557 | − | 0.0297759i | \(-0.00947937\pi\) |
0.599934 | + | 0.800050i | \(0.295194\pi\) | |||||||
\(42\) | 1.17184 | 0.180818 | ||||||||
\(43\) | −2.07133 | + | 6.22170i | −0.315875 | + | 0.948801i | ||||
\(44\) | −6.40736 | −0.965946 | ||||||||
\(45\) | 2.38277 | + | 1.14748i | 0.355203 | + | 0.171057i | ||||
\(46\) | 1.78872 | + | 1.21953i | 0.263732 | + | 0.179809i | ||||
\(47\) | 2.27396 | + | 2.85146i | 0.331692 | + | 0.415928i | 0.919511 | − | 0.393064i | \(-0.128585\pi\) |
−0.587819 | + | 0.808992i | \(0.700013\pi\) | |||||||
\(48\) | −0.436963 | + | 0.405442i | −0.0630701 | + | 0.0585205i | ||||
\(49\) | 1.56765 | + | 2.71526i | 0.223951 | + | 0.387894i | ||||
\(50\) | −0.500000 | + | 0.866025i | −0.0707107 | + | 0.122474i | ||||
\(51\) | −0.552109 | − | 2.41895i | −0.0773107 | − | 0.338720i | ||||
\(52\) | 0.293149 | + | 0.746931i | 0.0406524 | + | 0.103581i | ||||
\(53\) | −9.96419 | + | 3.07355i | −1.36869 | + | 0.422184i | −0.890064 | − | 0.455836i | \(-0.849340\pi\) |
−0.478623 | + | 0.878020i | \(0.658864\pi\) | |||||||
\(54\) | −2.09787 | + | 2.63064i | −0.285484 | + | 0.357985i | ||||
\(55\) | −0.478823 | − | 6.38945i | −0.0645645 | − | 0.861553i | ||||
\(56\) | 1.87854 | + | 0.579454i | 0.251031 | + | 0.0774328i | ||||
\(57\) | −1.13052 | + | 0.770776i | −0.149741 | + | 0.102092i | ||||
\(58\) | 7.17197 | − | 1.08100i | 0.941726 | − | 0.141942i | ||||
\(59\) | −0.680983 | + | 2.98358i | −0.0886564 | + | 0.388429i | −0.999716 | − | 0.0238465i | \(-0.992409\pi\) |
0.911059 | + | 0.412275i | \(0.135266\pi\) | |||||||
\(60\) | −0.436963 | − | 0.405442i | −0.0564116 | − | 0.0523423i | ||||
\(61\) | −0.426228 | + | 5.68761i | −0.0545729 | + | 0.728224i | 0.901066 | + | 0.433682i | \(0.142786\pi\) |
−0.955639 | + | 0.294542i | \(0.904833\pi\) | |||||||
\(62\) | 1.55523 | − | 3.96266i | 0.197515 | − | 0.503259i | ||||
\(63\) | 5.14106 | + | 0.774890i | 0.647713 | + | 0.0976270i | ||||
\(64\) | −0.900969 | + | 0.433884i | −0.112621 | + | 0.0542355i | ||||
\(65\) | −0.722935 | + | 0.348147i | −0.0896691 | + | 0.0431824i | ||||
\(66\) | 3.77669 | + | 0.569244i | 0.464878 | + | 0.0700691i | ||||
\(67\) | 3.24862 | − | 8.27735i | 0.396882 | − | 1.01124i | −0.583144 | − | 0.812369i | \(-0.698178\pi\) |
0.980026 | − | 0.198870i | \(-0.0637271\pi\) | |||||||
\(68\) | 0.311057 | − | 4.15076i | 0.0377212 | − | 0.503354i | ||||
\(69\) | −0.945976 | − | 0.877738i | −0.113882 | − | 0.105667i | ||||
\(70\) | −0.437450 | + | 1.91659i | −0.0522853 | + | 0.229077i | ||||
\(71\) | 2.80401 | − | 0.422636i | 0.332774 | − | 0.0501576i | 0.0194699 | − | 0.999810i | \(-0.493802\pi\) |
0.313304 | + | 0.949653i | \(0.398564\pi\) | |||||||
\(72\) | −2.18514 | + | 1.48980i | −0.257521 | + | 0.175575i | ||||
\(73\) | 10.6556 | + | 3.28683i | 1.24715 | + | 0.384695i | 0.846920 | − | 0.531721i | \(-0.178454\pi\) |
0.400229 | + | 0.916415i | \(0.368931\pi\) | |||||||
\(74\) | 0.630249 | + | 8.41009i | 0.0732650 | + | 0.977653i | ||||
\(75\) | 0.371654 | − | 0.466039i | 0.0429149 | − | 0.0538136i | ||||
\(76\) | −2.19345 | + | 0.676589i | −0.251606 | + | 0.0776101i | ||||
\(77\) | −4.60188 | − | 11.7254i | −0.524433 | − | 1.33623i | ||||
\(78\) | −0.106432 | − | 0.466307i | −0.0120510 | − | 0.0527989i | ||||
\(79\) | 6.22457 | − | 10.7813i | 0.700319 | − | 1.21299i | −0.268036 | − | 0.963409i | \(-0.586375\pi\) |
0.968355 | − | 0.249579i | \(-0.0802921\pi\) | |||||||
\(80\) | −0.500000 | − | 0.866025i | −0.0559017 | − | 0.0968246i | ||||
\(81\) | −4.34581 | + | 4.03232i | −0.482867 | + | 0.448036i | ||||
\(82\) | −7.08750 | − | 8.88744i | −0.782683 | − | 0.981454i | ||||
\(83\) | −8.89920 | − | 6.06737i | −0.976814 | − | 0.665980i | −0.0340424 | − | 0.999420i | \(-0.510838\pi\) |
−0.942771 | + | 0.333440i | \(0.891791\pi\) | |||||||
\(84\) | −1.05579 | − | 0.508441i | −0.115196 | − | 0.0554754i | ||||
\(85\) | 4.16240 | 0.451476 | ||||||||
\(86\) | 4.56570 | − | 4.70684i | 0.492332 | − | 0.507552i | ||||
\(87\) | −4.32341 | −0.463518 | ||||||||
\(88\) | 5.77283 | + | 2.78005i | 0.615386 | + | 0.296354i | ||||
\(89\) | −4.66995 | − | 3.18392i | −0.495014 | − | 0.337495i | 0.289944 | − | 0.957044i | \(-0.406363\pi\) |
−0.784958 | + | 0.619549i | \(0.787316\pi\) | |||||||
\(90\) | −1.64893 | − | 2.06769i | −0.173813 | − | 0.217954i | ||||
\(91\) | −1.15633 | + | 1.07292i | −0.121216 | + | 0.112472i | ||||
\(92\) | −1.08245 | − | 1.87485i | −0.112853 | − | 0.195467i | ||||
\(93\) | −1.26875 | + | 2.19754i | −0.131563 | + | 0.227874i | ||||
\(94\) | −0.811569 | − | 3.55571i | −0.0837069 | − | 0.366744i | ||||
\(95\) | −0.838614 | − | 2.13675i | −0.0860400 | − | 0.219226i | ||||
\(96\) | 0.569604 | − | 0.175700i | 0.0581350 | − | 0.0179323i | ||||
\(97\) | 1.24320 | − | 1.55892i | 0.126228 | − | 0.158285i | −0.714702 | − | 0.699429i | \(-0.753438\pi\) |
0.840929 | + | 0.541145i | \(0.182009\pi\) | |||||||
\(98\) | −0.234302 | − | 3.12654i | −0.0236681 | − | 0.315828i | ||||
\(99\) | 16.1926 | + | 4.99475i | 1.62742 | + | 0.501992i | ||||
\(100\) | 0.826239 | − | 0.563320i | 0.0826239 | − | 0.0563320i | ||||
\(101\) | −4.31569 | + | 0.650486i | −0.429427 | + | 0.0647258i | −0.360200 | − | 0.932875i | \(-0.617292\pi\) |
−0.0692275 | + | 0.997601i | \(0.522053\pi\) | |||||||
\(102\) | −0.552109 | + | 2.41895i | −0.0546669 | + | 0.239511i | ||||
\(103\) | 9.65313 | + | 8.95680i | 0.951152 | + | 0.882540i | 0.993182 | − | 0.116577i | \(-0.0371921\pi\) |
−0.0420301 | + | 0.999116i | \(0.513383\pi\) | |||||||
\(104\) | 0.0599633 | − | 0.800154i | 0.00587988 | − | 0.0784616i | ||||
\(105\) | 0.428120 | − | 1.09083i | 0.0417802 | − | 0.106454i | ||||
\(106\) | 10.3110 | + | 1.55413i | 1.00149 | + | 0.150951i | ||||
\(107\) | 6.29076 | − | 3.02947i | 0.608150 | − | 0.292870i | −0.104351 | − | 0.994541i | \(-0.533277\pi\) |
0.712501 | + | 0.701671i | \(0.247562\pi\) | |||||||
\(108\) | 3.03151 | − | 1.45990i | 0.291707 | − | 0.140479i | ||||
\(109\) | 14.3363 | + | 2.16085i | 1.37317 | + | 0.206972i | 0.793841 | − | 0.608125i | \(-0.208078\pi\) |
0.579325 | + | 0.815096i | \(0.303316\pi\) | |||||||
\(110\) | −2.34087 | + | 5.96445i | −0.223193 | + | 0.568688i | ||||
\(111\) | 0.375683 | − | 5.01315i | 0.0356583 | − | 0.475827i | ||||
\(112\) | −1.44109 | − | 1.33714i | −0.136171 | − | 0.126348i | ||||
\(113\) | 2.41342 | − | 10.5739i | 0.227035 | − | 0.994706i | −0.725008 | − | 0.688741i | \(-0.758164\pi\) |
0.952043 | − | 0.305965i | \(-0.0989791\pi\) | |||||||
\(114\) | 1.35299 | − | 0.203931i | 0.126719 | − | 0.0190999i | ||||
\(115\) | 1.78872 | − | 1.21953i | 0.166799 | − | 0.113721i | ||||
\(116\) | −6.93075 | − | 2.13785i | −0.643504 | − | 0.198495i | ||||
\(117\) | −0.158584 | − | 2.11615i | −0.0146611 | − | 0.195638i | ||||
\(118\) | 1.90807 | − | 2.39265i | 0.175652 | − | 0.220261i | ||||
\(119\) | 7.81925 | − | 2.41192i | 0.716790 | − | 0.221100i | ||||
\(120\) | 0.217775 | + | 0.554882i | 0.0198800 | + | 0.0506535i | ||||
\(121\) | −6.68771 | − | 29.3008i | −0.607974 | − | 2.66371i | ||||
\(122\) | 2.85178 | − | 4.93943i | 0.258188 | − | 0.447195i | ||||
\(123\) | 3.38800 | + | 5.86819i | 0.305486 | + | 0.529117i | ||||
\(124\) | −3.12055 | + | 2.89545i | −0.280234 | + | 0.260019i | ||||
\(125\) | 0.623490 | + | 0.781831i | 0.0557666 | + | 0.0699291i | ||||
\(126\) | −4.29572 | − | 2.92877i | −0.382693 | − | 0.260916i | ||||
\(127\) | 12.3797 | + | 5.96173i | 1.09852 | + | 0.529018i | 0.893192 | − | 0.449675i | \(-0.148460\pi\) |
0.205326 | + | 0.978694i | \(0.434175\pi\) | |||||||
\(128\) | 1.00000 | 0.0883883 | ||||||||
\(129\) | −3.10932 | + | 2.36872i | −0.273761 | + | 0.208555i | ||||
\(130\) | 0.802398 | 0.0703749 | ||||||||
\(131\) | 0.287636 | + | 0.138518i | 0.0251309 | + | 0.0121024i | 0.446407 | − | 0.894830i | \(-0.352703\pi\) |
−0.421276 | + | 0.906932i | \(0.638418\pi\) | |||||||
\(132\) | −3.15569 | − | 2.15151i | −0.274668 | − | 0.187265i | ||||
\(133\) | −2.81352 | − | 3.52805i | −0.243963 | − | 0.305920i | ||||
\(134\) | −6.51831 | + | 6.04811i | −0.563096 | + | 0.522477i | ||||
\(135\) | 1.68236 | + | 2.91393i | 0.144794 | + | 0.250791i | ||||
\(136\) | −2.08120 | + | 3.60475i | −0.178462 | + | 0.309104i | ||||
\(137\) | −2.03404 | − | 8.91170i | −0.173779 | − | 0.761378i | −0.984420 | − | 0.175833i | \(-0.943738\pi\) |
0.810640 | − | 0.585544i | \(-0.199119\pi\) | |||||||
\(138\) | 0.471459 | + | 1.20126i | 0.0401333 | + | 0.102258i | ||||
\(139\) | −6.31205 | + | 1.94701i | −0.535381 | + | 0.165143i | −0.550644 | − | 0.834740i | \(-0.685618\pi\) |
0.0152626 | + | 0.999884i | \(0.495142\pi\) | |||||||
\(140\) | 1.22571 | − | 1.53699i | 0.103591 | − | 0.129899i | ||||
\(141\) | 0.162465 | + | 2.16794i | 0.0136820 | + | 0.182574i | ||||
\(142\) | −2.70970 | − | 0.835831i | −0.227393 | − | 0.0701413i | ||||
\(143\) | −4.24790 | + | 2.89617i | −0.355228 | + | 0.242190i | ||||
\(144\) | 2.61514 | − | 0.394169i | 0.217928 | − | 0.0328474i | ||||
\(145\) | 1.61394 | − | 7.07114i | 0.134030 | − | 0.587226i | ||||
\(146\) | −8.17430 | − | 7.58464i | −0.676510 | − | 0.627710i | ||||
\(147\) | −0.139664 | + | 1.86369i | −0.0115193 | + | 0.153715i | ||||
\(148\) | 3.08117 | − | 7.85069i | 0.253270 | − | 0.645322i | ||||
\(149\) | 2.98005 | + | 0.449170i | 0.244135 | + | 0.0367974i | 0.269970 | − | 0.962869i | \(-0.412986\pi\) |
−0.0258348 | + | 0.999666i | \(0.508224\pi\) | |||||||
\(150\) | −0.537056 | + | 0.258632i | −0.0438504 | + | 0.0211172i | ||||
\(151\) | −11.3681 | + | 5.47457i | −0.925120 | + | 0.445514i | −0.834896 | − | 0.550407i | \(-0.814472\pi\) |
−0.0902235 | + | 0.995922i | \(0.528758\pi\) | |||||||
\(152\) | 2.26979 | + | 0.342116i | 0.184104 | + | 0.0277493i | ||||
\(153\) | −4.02176 | + | 10.2473i | −0.325140 | + | 0.828442i | ||||
\(154\) | −0.941309 | + | 12.5609i | −0.0758528 | + | 1.01219i | ||||
\(155\) | −3.12055 | − | 2.89545i | −0.250649 | − | 0.232568i | ||||
\(156\) | −0.106432 | + | 0.466307i | −0.00852134 | + | 0.0373344i | ||||
\(157\) | −10.4048 | + | 1.56827i | −0.830391 | + | 0.125161i | −0.550463 | − | 0.834860i | \(-0.685549\pi\) |
−0.279928 | + | 0.960021i | \(0.590311\pi\) | |||||||
\(158\) | −10.2860 | + | 7.01285i | −0.818307 | + | 0.557912i | ||||
\(159\) | −5.93952 | − | 1.83210i | −0.471035 | − | 0.145295i | ||||
\(160\) | 0.0747301 | + | 0.997204i | 0.00590793 | + | 0.0788359i | ||||
\(161\) | 2.65352 | − | 3.32741i | 0.209127 | − | 0.262237i | ||||
\(162\) | 5.66499 | − | 1.74742i | 0.445084 | − | 0.137290i | ||||
\(163\) | 2.38752 | + | 6.08330i | 0.187005 | + | 0.476481i | 0.993373 | − | 0.114933i | \(-0.0366653\pi\) |
−0.806368 | + | 0.591414i | \(0.798570\pi\) | |||||||
\(164\) | 2.52950 | + | 11.0825i | 0.197521 | + | 0.865395i | ||||
\(165\) | 1.90967 | − | 3.30765i | 0.148668 | − | 0.257500i | ||||
\(166\) | 5.38537 | + | 9.32773i | 0.417985 | + | 0.723972i | ||||
\(167\) | 10.4118 | − | 9.66071i | 0.805687 | − | 0.747568i | −0.165417 | − | 0.986224i | \(-0.552897\pi\) |
0.971104 | + | 0.238655i | \(0.0767066\pi\) | |||||||
\(168\) | 0.730628 | + | 0.916179i | 0.0563692 | + | 0.0706847i | ||||
\(169\) | −10.2091 | − | 6.96047i | −0.785318 | − | 0.535421i | ||||
\(170\) | −3.75019 | − | 1.80600i | −0.287627 | − | 0.138514i | ||||
\(171\) | 6.07067 | 0.464236 | ||||||||
\(172\) | −6.15578 | + | 2.25974i | −0.469374 | + | 0.172303i | ||||
\(173\) | −1.91196 | −0.145364 | −0.0726818 | − | 0.997355i | \(-0.523156\pi\) | ||||
−0.0726818 | + | 0.997355i | \(0.523156\pi\) | |||||||
\(174\) | 3.89526 | + | 1.87586i | 0.295299 | + | 0.142208i | ||||
\(175\) | 1.62429 | + | 1.10742i | 0.122785 | + | 0.0837131i | ||||
\(176\) | −3.99493 | − | 5.00948i | −0.301129 | − | 0.377604i | ||||
\(177\) | −1.33724 | + | 1.24078i | −0.100513 | + | 0.0932625i | ||||
\(178\) | 2.82603 | + | 4.89483i | 0.211820 | + | 0.366883i | ||||
\(179\) | −5.92576 | + | 10.2637i | −0.442912 | + | 0.767146i | −0.997904 | − | 0.0647093i | \(-0.979388\pi\) |
0.554992 | + | 0.831856i | \(0.312721\pi\) | |||||||
\(180\) | 0.588497 | + | 2.57837i | 0.0438640 | + | 0.192181i | ||||
\(181\) | 4.87553 | + | 12.4226i | 0.362395 | + | 0.923368i | 0.989513 | + | 0.144444i | \(0.0461392\pi\) |
−0.627118 | + | 0.778924i | \(0.715766\pi\) | |||||||
\(182\) | 1.50734 | − | 0.464953i | 0.111731 | − | 0.0344646i | ||||
\(183\) | −2.11975 | + | 2.65808i | −0.156697 | + | 0.196491i | ||||
\(184\) | 0.161782 | + | 2.15884i | 0.0119268 | + | 0.159152i | ||||
\(185\) | 8.05899 | + | 2.48587i | 0.592509 | + | 0.182765i | ||||
\(186\) | 2.09658 | − | 1.42942i | 0.153729 | − | 0.104810i | ||||
\(187\) | 26.3721 | − | 3.97496i | 1.92852 | − | 0.290678i | ||||
\(188\) | −0.811569 | + | 3.55571i | −0.0591897 | + | 0.259327i | ||||
\(189\) | 4.84888 | + | 4.49910i | 0.352704 | + | 0.327261i | ||||
\(190\) | −0.171538 | + | 2.28901i | −0.0124446 | + | 0.166062i | ||||
\(191\) | −9.92847 | + | 25.2973i | −0.718399 | + | 1.83045i | −0.189233 | + | 0.981932i | \(0.560600\pi\) |
−0.529166 | + | 0.848519i | \(0.677495\pi\) | |||||||
\(192\) | −0.589429 | − | 0.0888421i | −0.0425384 | − | 0.00641163i | ||||
\(193\) | −6.48071 | + | 3.12094i | −0.466492 | + | 0.224651i | −0.652338 | − | 0.757928i | \(-0.726212\pi\) |
0.185846 | + | 0.982579i | \(0.440497\pi\) | |||||||
\(194\) | −1.79647 | + | 0.865136i | −0.128979 | + | 0.0621132i | ||||
\(195\) | −0.472957 | − | 0.0712867i | −0.0338691 | − | 0.00510495i | ||||
\(196\) | −1.14546 | + | 2.91858i | −0.0818184 | + | 0.208470i | ||||
\(197\) | −1.50253 | + | 20.0498i | −0.107051 | + | 1.42849i | 0.642368 | + | 0.766396i | \(0.277952\pi\) |
−0.749419 | + | 0.662096i | \(0.769667\pi\) | |||||||
\(198\) | −12.4219 | − | 11.5258i | −0.882784 | − | 0.819104i | ||||
\(199\) | −3.52186 | + | 15.4303i | −0.249658 | + | 1.09382i | 0.682248 | + | 0.731121i | \(0.261003\pi\) |
−0.931906 | + | 0.362701i | \(0.881855\pi\) | |||||||
\(200\) | −0.988831 | + | 0.149042i | −0.0699209 | + | 0.0105389i | ||||
\(201\) | 4.37941 | − | 2.98583i | 0.308900 | − | 0.210604i | ||||
\(202\) | 4.17054 | + | 1.28644i | 0.293438 | + | 0.0905137i | ||||
\(203\) | −1.06554 | − | 14.2186i | −0.0747862 | − | 0.997953i | ||||
\(204\) | 1.54697 | − | 1.93984i | 0.108310 | − | 0.135816i | ||||
\(205\) | −10.8624 | + | 3.35062i | −0.758666 | + | 0.234017i | ||||
\(206\) | −4.81096 | − | 12.2581i | −0.335196 | − | 0.854065i | ||||
\(207\) | 1.27403 | + | 5.58189i | 0.0885513 | + | 0.387968i | ||||
\(208\) | −0.401199 | + | 0.694897i | −0.0278181 | + | 0.0481824i | ||||
\(209\) | −7.35382 | − | 12.7372i | −0.508674 | − | 0.881050i | ||||
\(210\) | −0.859017 | + | 0.797051i | −0.0592778 | + | 0.0550018i | ||||
\(211\) | 7.96188 | + | 9.98388i | 0.548119 | + | 0.687319i | 0.976312 | − | 0.216368i | \(-0.0694212\pi\) |
−0.428193 | + | 0.903687i | \(0.640850\pi\) | |||||||
\(212\) | −8.61557 | − | 5.87399i | −0.591720 | − | 0.403428i | ||||
\(213\) | 1.52292 | + | 0.733398i | 0.104349 | + | 0.0502516i | ||||
\(214\) | −6.98221 | −0.477294 | ||||||||
\(215\) | −2.71344 | − | 5.96969i | −0.185055 | − | 0.407130i | ||||
\(216\) | −3.36472 | −0.228940 | ||||||||
\(217\) | −7.53987 | − | 3.63101i | −0.511839 | − | 0.246489i | ||||
\(218\) | −11.9790 | − | 8.16714i | −0.811319 | − | 0.553148i | ||||
\(219\) | 4.14434 | + | 5.19683i | 0.280048 | + | 0.351169i | ||||
\(220\) | 4.69693 | − | 4.35811i | 0.316667 | − | 0.293824i | ||||
\(221\) | −1.66995 | − | 2.89244i | −0.112333 | − | 0.194567i | ||||
\(222\) | −2.51360 | + | 4.35368i | −0.168702 | + | 0.292200i | ||||
\(223\) | 5.98313 | + | 26.2138i | 0.400660 | + | 1.75541i | 0.624736 | + | 0.780836i | \(0.285206\pi\) |
−0.224076 | + | 0.974572i | \(0.571936\pi\) | |||||||
\(224\) | 0.718217 | + | 1.82999i | 0.0479879 | + | 0.122271i | ||||
\(225\) | −2.52718 | + | 0.779533i | −0.168479 | + | 0.0519689i | ||||
\(226\) | −6.76224 | + | 8.47959i | −0.449818 | + | 0.564054i | ||||
\(227\) | −0.0657944 | − | 0.877965i | −0.00436693 | − | 0.0582726i | 0.994595 | − | 0.103834i | \(-0.0331112\pi\) |
−0.998962 | + | 0.0455619i | \(0.985492\pi\) | |||||||
\(228\) | −1.30749 | − | 0.403306i | −0.0865904 | − | 0.0267096i | ||||
\(229\) | −8.44297 | + | 5.75632i | −0.557927 | + | 0.380388i | −0.809205 | − | 0.587527i | \(-0.800102\pi\) |
0.251278 | + | 0.967915i | \(0.419149\pi\) | |||||||
\(230\) | −2.14071 | + | 0.322660i | −0.141154 | + | 0.0212756i | ||||
\(231\) | 1.67077 | − | 7.32013i | 0.109929 | − | 0.481629i | ||||
\(232\) | 5.31681 | + | 4.93328i | 0.349066 | + | 0.323886i | ||||
\(233\) | −0.406323 | + | 5.42200i | −0.0266191 | + | 0.355207i | 0.967951 | + | 0.251139i | \(0.0808051\pi\) |
−0.994570 | + | 0.104068i | \(0.966814\pi\) | |||||||
\(234\) | −0.775285 | + | 1.97539i | −0.0506820 | + | 0.129136i | ||||
\(235\) | −3.60642 | − | 0.543580i | −0.235257 | − | 0.0354593i | ||||
\(236\) | −2.75724 | + | 1.32782i | −0.179481 | + | 0.0864336i | ||||
\(237\) | 6.68588 | − | 3.21975i | 0.434295 | − | 0.209145i | ||||
\(238\) | −8.09139 | − | 1.21958i | −0.524487 | − | 0.0790537i | ||||
\(239\) | −0.0335227 | + | 0.0854144i | −0.00216840 | + | 0.00552500i | −0.931954 | − | 0.362577i | \(-0.881897\pi\) |
0.929785 | + | 0.368102i | \(0.119992\pi\) | |||||||
\(240\) | 0.0445456 | − | 0.594420i | 0.00287541 | − | 0.0383697i | ||||
\(241\) | −20.4332 | − | 18.9593i | −1.31622 | − | 1.22127i | −0.957706 | − | 0.287749i | \(-0.907093\pi\) |
−0.358514 | − | 0.933524i | \(-0.616716\pi\) | |||||||
\(242\) | −6.68771 | + | 29.3008i | −0.429902 | + | 1.88353i | ||||
\(243\) | −13.4758 | + | 2.03115i | −0.864471 | + | 0.130298i | ||||
\(244\) | −4.71250 | + | 3.21293i | −0.301687 | + | 0.205687i | ||||
\(245\) | −2.99602 | − | 0.924149i | −0.191408 | − | 0.0590417i | ||||
\(246\) | −0.506371 | − | 6.75705i | −0.0322850 | − | 0.430814i | ||||
\(247\) | −1.14837 | + | 1.44001i | −0.0730692 | + | 0.0916259i | ||||
\(248\) | 4.06781 | − | 1.25475i | 0.258306 | − | 0.0796768i | ||||
\(249\) | −2.34560 | − | 5.97648i | −0.148646 | − | 0.378744i | ||||
\(250\) | −0.222521 | − | 0.974928i | −0.0140735 | − | 0.0616599i | ||||
\(251\) | 5.17618 | − | 8.96540i | 0.326717 | − | 0.565891i | −0.655141 | − | 0.755507i | \(-0.727391\pi\) |
0.981858 | + | 0.189615i | \(0.0607241\pi\) | |||||||
\(252\) | 2.59956 | + | 4.50258i | 0.163757 | + | 0.283636i | ||||
\(253\) | 10.1683 | − | 9.43484i | 0.639278 | − | 0.593163i | ||||
\(254\) | −8.56700 | − | 10.7427i | −0.537541 | − | 0.674055i | ||||
\(255\) | 2.05002 | + | 1.39768i | 0.128378 | + | 0.0875263i | ||||
\(256\) | −0.900969 | − | 0.433884i | −0.0563106 | − | 0.0271177i | ||||
\(257\) | −24.7013 | −1.54083 | −0.770414 | − | 0.637545i | \(-0.779950\pi\) | ||||
−0.770414 | + | 0.637545i | \(0.779950\pi\) | |||||||
\(258\) | 3.82915 | − | 0.785062i | 0.238393 | − | 0.0488758i | ||||
\(259\) | 16.5796 | 1.03021 | ||||||||
\(260\) | −0.722935 | − | 0.348147i | −0.0448346 | − | 0.0215912i | ||||
\(261\) | 15.8488 | + | 10.8055i | 0.981014 | + | 0.668844i | ||||
\(262\) | −0.199050 | − | 0.249601i | −0.0122974 | − | 0.0154204i | ||||
\(263\) | −1.78636 | + | 1.65750i | −0.110151 | + | 0.102206i | −0.733326 | − | 0.679877i | \(-0.762033\pi\) |
0.623175 | + | 0.782083i | \(0.285843\pi\) | |||||||
\(264\) | 1.90967 | + | 3.30765i | 0.117532 | + | 0.203572i | ||||
\(265\) | 5.21373 | − | 9.03044i | 0.320277 | − | 0.554736i | ||||
\(266\) | 1.00413 | + | 4.39940i | 0.0615674 | + | 0.269745i | ||||
\(267\) | −1.23088 | − | 3.13622i | −0.0753285 | − | 0.191934i | ||||
\(268\) | 8.49697 | − | 2.62097i | 0.519035 | − | 0.160101i | ||||
\(269\) | 14.3987 | − | 18.0554i | 0.877904 | − | 1.10086i | −0.116286 | − | 0.993216i | \(-0.537099\pi\) |
0.994190 | − | 0.107641i | \(-0.0343298\pi\) | |||||||
\(270\) | −0.251446 | − | 3.35531i | −0.0153025 | − | 0.204198i | ||||
\(271\) | −14.1128 | − | 4.35322i | −0.857292 | − | 0.264440i | −0.165210 | − | 0.986258i | \(-0.552830\pi\) |
−0.692082 | + | 0.721819i | \(0.743306\pi\) | |||||||
\(272\) | 3.43914 | − | 2.34476i | 0.208528 | − | 0.142172i | ||||
\(273\) | −0.929777 | + | 0.140141i | −0.0562727 | + | 0.00848174i | ||||
\(274\) | −2.03404 | + | 8.91170i | −0.122881 | + | 0.538375i | ||||
\(275\) | 4.69693 | + | 4.35811i | 0.283236 | + | 0.262804i | ||||
\(276\) | 0.0964364 | − | 1.28685i | 0.00580479 | − | 0.0774595i | ||||
\(277\) | −5.74668 | + | 14.6423i | −0.345285 | + | 0.879771i | 0.647740 | + | 0.761862i | \(0.275714\pi\) |
−0.993024 | + | 0.117909i | \(0.962381\pi\) | |||||||
\(278\) | 6.53174 | + | 0.984501i | 0.391748 | + | 0.0590465i | ||||
\(279\) | 10.1433 | − | 4.88476i | 0.607264 | − | 0.292443i | ||||
\(280\) | −1.77120 | + | 0.852964i | −0.105849 | + | 0.0509744i | ||||
\(281\) | 27.8661 | + | 4.20014i | 1.66235 | + | 0.250559i | 0.911913 | − | 0.410382i | \(-0.134605\pi\) |
0.750437 | + | 0.660942i | \(0.229843\pi\) | |||||||
\(282\) | 0.794259 | − | 2.02374i | 0.0472975 | − | 0.120512i | ||||
\(283\) | 1.50008 | − | 20.0172i | 0.0891707 | − | 1.18990i | −0.755696 | − | 0.654923i | \(-0.772701\pi\) |
0.844866 | − | 0.534977i | \(-0.179680\pi\) | |||||||
\(284\) | 2.07870 | + | 1.92875i | 0.123348 | + | 0.114450i | ||||
\(285\) | 0.304470 | − | 1.33397i | 0.0180352 | − | 0.0790175i | ||||
\(286\) | 5.08383 | − | 0.766264i | 0.300613 | − | 0.0453102i | ||||
\(287\) | −18.4640 | + | 12.5886i | −1.08990 | + | 0.743080i | ||||
\(288\) | −2.52718 | − | 0.779533i | −0.148916 | − | 0.0459344i | ||||
\(289\) | 0.0243313 | + | 0.324678i | 0.00143125 | + | 0.0190987i | ||||
\(290\) | −4.52216 | + | 5.67061i | −0.265550 | + | 0.332990i | ||||
\(291\) | 1.13575 | − | 0.350334i | 0.0665791 | − | 0.0205369i | ||||
\(292\) | 4.07394 | + | 10.3802i | 0.238409 | + | 0.607457i | ||||
\(293\) | 2.97742 | + | 13.0449i | 0.173942 | + | 0.762092i | 0.984350 | + | 0.176225i | \(0.0563887\pi\) |
−0.810407 | + | 0.585867i | \(0.800754\pi\) | |||||||
\(294\) | 0.934458 | − | 1.61853i | 0.0544987 | − | 0.0943945i | ||||
\(295\) | −1.53015 | − | 2.65030i | −0.0890890 | − | 0.154307i | ||||
\(296\) | −6.18232 | + | 5.73635i | −0.359340 | + | 0.333419i | ||||
\(297\) | 13.4418 | + | 16.8555i | 0.779973 | + | 0.978055i | ||||
\(298\) | −2.49004 | − | 1.69768i | −0.144244 | − | 0.0983440i | ||||
\(299\) | −1.56508 | − | 0.753701i | −0.0905107 | − | 0.0435876i | ||||
\(300\) | 0.596087 | 0.0344151 | ||||||||
\(301\) | −8.55648 | − | 9.64201i | −0.493187 | − | 0.555756i | ||||
\(302\) | 12.6176 | 0.726061 | ||||||||
\(303\) | −2.34395 | − | 1.12879i | −0.134656 | − | 0.0648470i | ||||
\(304\) | −1.89657 | − | 1.29306i | −0.108776 | − | 0.0741621i | ||||
\(305\) | −3.55611 | − | 4.45922i | −0.203622 | − | 0.255334i | ||||
\(306\) | 8.06960 | − | 7.48749i | 0.461308 | − | 0.428031i | ||||
\(307\) | 3.91707 | + | 6.78457i | 0.223559 | + | 0.387216i | 0.955886 | − | 0.293737i | \(-0.0948991\pi\) |
−0.732327 | + | 0.680953i | \(0.761566\pi\) | |||||||
\(308\) | 6.29806 | − | 10.9086i | 0.358865 | − | 0.621573i | ||||
\(309\) | 1.74668 | + | 7.65272i | 0.0993653 | + | 0.435348i | ||||
\(310\) | 1.55523 | + | 3.96266i | 0.0883312 | + | 0.225064i | ||||
\(311\) | 13.6005 | − | 4.19521i | 0.771216 | − | 0.237889i | 0.115918 | − | 0.993259i | \(-0.463019\pi\) |
0.655298 | + | 0.755370i | \(0.272543\pi\) | |||||||
\(312\) | 0.298214 | − | 0.373949i | 0.0168831 | − | 0.0211707i | ||||
\(313\) | −1.51871 | − | 20.2658i | −0.0858426 | − | 1.14549i | −0.859242 | − | 0.511570i | \(-0.829064\pi\) |
0.773399 | − | 0.633919i | \(-0.218555\pi\) | |||||||
\(314\) | 10.0548 | + | 3.10150i | 0.567426 | + | 0.175028i | ||||
\(315\) | −4.29572 | + | 2.92877i | −0.242037 | + | 0.165018i | ||||
\(316\) | 12.3101 | − | 1.85545i | 0.692497 | − | 0.104377i | ||||
\(317\) | −5.53042 | + | 24.2303i | −0.310619 | + | 1.36091i | 0.542877 | + | 0.839812i | \(0.317335\pi\) |
−0.853496 | + | 0.521099i | \(0.825522\pi\) | |||||||
\(318\) | 4.55641 | + | 4.22773i | 0.255511 | + | 0.237079i | ||||
\(319\) | 3.47289 | − | 46.3425i | 0.194445 | − | 2.59468i | ||||
\(320\) | 0.365341 | − | 0.930874i | 0.0204232 | − | 0.0520374i | ||||
\(321\) | 4.11552 | + | 0.620315i | 0.229706 | + | 0.0346226i | ||||
\(322\) | −3.83445 | + | 1.84657i | −0.213686 | + | 0.102906i | ||||
\(323\) | 8.60830 | − | 4.14554i | 0.478979 | − | 0.230664i | ||||
\(324\) | −5.86216 | − | 0.883579i | −0.325676 | − | 0.0490877i | ||||
\(325\) | 0.293149 | − | 0.746931i | 0.0162610 | − | 0.0414323i | ||||
\(326\) | 0.488364 | − | 6.51677i | 0.0270480 | − | 0.360931i | ||||
\(327\) | 6.33518 | + | 5.87819i | 0.350336 | + | 0.325064i | ||||
\(328\) | 2.52950 | − | 11.0825i | 0.139668 | − | 0.611927i | ||||
\(329\) | −7.08980 | + | 1.06861i | −0.390873 | + | 0.0589146i | ||||
\(330\) | −3.15569 | + | 2.15151i | −0.173715 | + | 0.118437i | ||||
\(331\) | −14.0921 | − | 4.34684i | −0.774573 | − | 0.238924i | −0.117825 | − | 0.993034i | \(-0.537592\pi\) |
−0.656748 | + | 0.754110i | \(0.728068\pi\) | |||||||
\(332\) | −0.804898 | − | 10.7406i | −0.0441745 | − | 0.589468i | ||||
\(333\) | −13.9065 | + | 17.4383i | −0.762074 | + | 0.955611i | ||||
\(334\) | −13.5723 | + | 4.18650i | −0.742644 | + | 0.229075i | ||||
\(335\) | 3.24862 | + | 8.27735i | 0.177491 | + | 0.452240i | ||||
\(336\) | −0.260758 | − | 1.14246i | −0.0142255 | − | 0.0623261i | ||||
\(337\) | 7.02294 | − | 12.1641i | 0.382564 | − | 0.662620i | −0.608864 | − | 0.793275i | \(-0.708375\pi\) |
0.991428 | + | 0.130654i | \(0.0417078\pi\) | |||||||
\(338\) | 6.17808 | + | 10.7007i | 0.336043 | + | 0.582044i | ||||
\(339\) | 4.73921 | − | 4.39734i | 0.257398 | − | 0.238831i | ||||
\(340\) | 2.59522 | + | 3.25430i | 0.140745 | + | 0.176489i | ||||
\(341\) | −22.5362 | − | 15.3649i | −1.22041 | − | 0.832058i | ||||
\(342\) | −5.46949 | − | 2.63397i | −0.295756 | − | 0.142429i | ||||
\(343\) | −19.9248 | −1.07584 | ||||||||
\(344\) | 6.52663 | + | 0.634939i | 0.351892 | + | 0.0342336i | ||||
\(345\) | 1.29046 | 0.0694762 | ||||||||
\(346\) | 1.72262 | + | 0.829568i | 0.0926084 | + | 0.0445978i | ||||
\(347\) | −25.5802 | − | 17.4403i | −1.37322 | − | 0.936243i | −0.999964 | − | 0.00851281i | \(-0.997290\pi\) |
−0.373252 | − | 0.927730i | \(-0.621757\pi\) | |||||||
\(348\) | −2.69560 | − | 3.38018i | −0.144499 | − | 0.181196i | ||||
\(349\) | 1.50678 | − | 1.39809i | 0.0806561 | − | 0.0748379i | −0.638815 | − | 0.769361i | \(-0.720575\pi\) |
0.719471 | + | 0.694523i | \(0.244384\pi\) | |||||||
\(350\) | −0.982941 | − | 1.70250i | −0.0525404 | − | 0.0910026i | ||||
\(351\) | 1.34992 | − | 2.33813i | 0.0720535 | − | 0.124800i | ||||
\(352\) | 1.42577 | + | 6.24672i | 0.0759939 | + | 0.332951i | ||||
\(353\) | 8.34895 | + | 21.2728i | 0.444370 | + | 1.13224i | 0.961128 | + | 0.276104i | \(0.0890434\pi\) |
−0.516758 | + | 0.856131i | \(0.672861\pi\) | |||||||
\(354\) | 1.74316 | − | 0.537695i | 0.0926482 | − | 0.0285782i | ||||
\(355\) | −1.76802 | + | 2.21702i | −0.0938365 | + | 0.117667i | ||||
\(356\) | −0.422379 | − | 5.63626i | −0.0223860 | − | 0.298721i | ||||
\(357\) | 4.66095 | + | 1.43771i | 0.246684 | + | 0.0760919i | ||||
\(358\) | 9.79219 | − | 6.67620i | 0.517533 | − | 0.352848i | ||||
\(359\) | 15.3253 | − | 2.30991i | 0.808838 | − | 0.121913i | 0.268412 | − | 0.963304i | \(-0.413501\pi\) |
0.540426 | + | 0.841392i | \(0.318263\pi\) | |||||||
\(360\) | 0.588497 | − | 2.57837i | 0.0310165 | − | 0.135892i | ||||
\(361\) | 10.0655 | + | 9.33946i | 0.529765 | + | 0.491551i | ||||
\(362\) | 0.997284 | − | 13.3078i | 0.0524161 | − | 0.699444i | ||||
\(363\) | 6.54508 | − | 16.6766i | 0.343527 | − | 0.875293i | ||||
\(364\) | −1.55980 | − | 0.235102i | −0.0817558 | − | 0.0123227i | ||||
\(365\) | −10.0468 | + | 4.83826i | −0.525871 | + | 0.253246i | ||||
\(366\) | 3.06313 | − | 1.47513i | 0.160112 | − | 0.0771061i | ||||
\(367\) | −28.4542 | − | 4.28878i | −1.48530 | − | 0.223872i | −0.644241 | − | 0.764822i | \(-0.722827\pi\) |
−0.841055 | + | 0.540950i | \(0.818065\pi\) | |||||||
\(368\) | 0.790923 | − | 2.01524i | 0.0412297 | − | 0.105052i | ||||
\(369\) | 2.24663 | − | 29.9793i | 0.116955 | − | 1.56066i | ||||
\(370\) | −6.18232 | − | 5.73635i | −0.321404 | − | 0.298219i | ||||
\(371\) | 4.56149 | − | 19.9852i | 0.236821 | − | 1.03758i | ||||
\(372\) | −2.50916 | + | 0.378195i | −0.130094 | + | 0.0196085i | ||||
\(373\) | 5.32392 | − | 3.62979i | 0.275662 | − | 0.187943i | −0.417596 | − | 0.908633i | \(-0.637127\pi\) |
0.693258 | + | 0.720690i | \(0.256175\pi\) | |||||||
\(374\) | −25.4851 | − | 7.86113i | −1.31781 | − | 0.406489i | ||||
\(375\) | 0.0445456 | + | 0.594420i | 0.00230033 | + | 0.0306957i | ||||
\(376\) | 2.27396 | − | 2.85146i | 0.117271 | − | 0.147053i | ||||
\(377\) | −5.56122 | + | 1.71541i | −0.286417 | + | 0.0883481i | ||||
\(378\) | −2.41660 | − | 6.15740i | −0.124296 | − | 0.316702i | ||||
\(379\) | 0.186148 | + | 0.815567i | 0.00956177 | + | 0.0418929i | 0.979484 | − | 0.201523i | \(-0.0645891\pi\) |
−0.969922 | + | 0.243416i | \(0.921732\pi\) | |||||||
\(380\) | 1.14771 | − | 1.98790i | 0.0588765 | − | 0.101977i | ||||
\(381\) | 4.09523 | + | 7.09315i | 0.209805 | + | 0.363393i | ||||
\(382\) | 19.9213 | − | 18.4843i | 1.01926 | − | 0.945739i | ||||
\(383\) | 16.7805 | + | 21.0420i | 0.857442 | + | 1.07520i | 0.996390 | + | 0.0848983i | \(0.0270565\pi\) |
−0.138948 | + | 0.990300i | \(0.544372\pi\) | |||||||
\(384\) | 0.492510 | + | 0.335788i | 0.0251333 | + | 0.0171356i | ||||
\(385\) | 11.3487 | + | 5.46525i | 0.578384 | + | 0.278535i | ||||
\(386\) | 7.19304 | 0.366116 | ||||||||
\(387\) | 17.3183 | − | 0.912140i | 0.880340 | − | 0.0463667i | ||||
\(388\) | 1.99394 | 0.101227 | ||||||||
\(389\) | −1.09819 | − | 0.528861i | −0.0556805 | − | 0.0268143i | 0.405836 | − | 0.913946i | \(-0.366980\pi\) |
−0.461517 | + | 0.887131i | \(0.652695\pi\) | |||||||
\(390\) | 0.395189 | + | 0.269435i | 0.0200112 | + | 0.0136434i | ||||
\(391\) | 5.61836 | + | 7.04520i | 0.284132 | + | 0.356291i | ||||
\(392\) | 2.29834 | − | 2.13255i | 0.116084 | − | 0.107710i | ||||
\(393\) | 0.0951510 | + | 0.164806i | 0.00479973 | + | 0.00831338i | ||||
\(394\) | 10.0530 | − | 17.4124i | 0.506464 | − | 0.877222i | ||||
\(395\) | 2.77019 | + | 12.1370i | 0.139384 | + | 0.610679i | ||||
\(396\) | 6.19086 | + | 15.7741i | 0.311102 | + | 0.792676i | ||||
\(397\) | 3.74056 | − | 1.15381i | 0.187733 | − | 0.0579081i | −0.199463 | − | 0.979905i | \(-0.563920\pi\) |
0.387196 | + | 0.921997i | \(0.373444\pi\) | |||||||
\(398\) | 9.86802 | − | 12.3741i | 0.494639 | − | 0.620258i | ||||
\(399\) | −0.201014 | − | 2.68234i | −0.0100633 | − | 0.134285i | ||||
\(400\) | 0.955573 | + | 0.294755i | 0.0477786 | + | 0.0147378i | ||||
\(401\) | −24.8884 | + | 16.9686i | −1.24287 | + | 0.847373i | −0.992674 | − | 0.120822i | \(-0.961447\pi\) |
−0.250194 | + | 0.968196i | \(0.580495\pi\) | |||||||
\(402\) | −5.24121 | + | 0.789986i | −0.261408 | + | 0.0394009i | ||||
\(403\) | −0.760076 | + | 3.33011i | −0.0378621 | + | 0.165885i | ||||
\(404\) | −3.19936 | − | 2.96857i | −0.159174 | − | 0.147692i | ||||
\(405\) | 0.443028 | − | 5.91180i | 0.0220142 | − | 0.293760i | ||||
\(406\) | −5.20922 | + | 13.2729i | −0.258529 | + | 0.658721i | ||||
\(407\) | 53.4341 | + | 8.05389i | 2.64863 | + | 0.399216i | ||||
\(408\) | −2.23544 | + | 1.07653i | −0.110671 | + | 0.0532963i | ||||
\(409\) | 15.5410 | − | 7.48417i | 0.768454 | − | 0.370068i | −0.00822340 | − | 0.999966i | \(-0.502618\pi\) |
0.776678 | + | 0.629898i | \(0.216903\pi\) | |||||||
\(410\) | 11.2405 | + | 1.69423i | 0.555129 | + | 0.0836722i | ||||
\(411\) | 1.99065 | − | 5.07210i | 0.0981917 | − | 0.250188i | ||||
\(412\) | −0.984077 | + | 13.1316i | −0.0484820 | + | 0.646947i | ||||
\(413\) | −4.41019 | − | 4.09206i | −0.217011 | − | 0.201357i | ||||
\(414\) | 1.27403 | − | 5.58189i | 0.0626152 | − | 0.274335i | ||||
\(415\) | 10.6504 | − | 1.60529i | 0.522809 | − | 0.0788008i | ||||
\(416\) | 0.662972 | − | 0.452007i | 0.0325049 | − | 0.0221615i | ||||
\(417\) | −3.76253 | − | 1.16059i | −0.184252 | − | 0.0568342i | ||||
\(418\) | 1.09910 | + | 14.6665i | 0.0537589 | + | 0.717363i | ||||
\(419\) | −17.6958 | + | 22.1898i | −0.864495 | + | 1.08404i | 0.131200 | + | 0.991356i | \(0.458117\pi\) |
−0.995695 | + | 0.0926869i | \(0.970454\pi\) | |||||||
\(420\) | 1.11977 | − | 0.345405i | 0.0546394 | − | 0.0168540i | ||||
\(421\) | 1.66177 | + | 4.23411i | 0.0809895 | + | 0.206358i | 0.965633 | − | 0.259911i | \(-0.0836932\pi\) |
−0.884643 | + | 0.466269i | \(0.845598\pi\) | |||||||
\(422\) | −2.84156 | − | 12.4497i | −0.138325 | − | 0.606042i | ||||
\(423\) | 4.82278 | − | 8.35330i | 0.234492 | − | 0.406151i | ||||
\(424\) | 5.21373 | + | 9.03044i | 0.253201 | + | 0.438557i | ||||
\(425\) | −3.05126 | + | 2.83115i | −0.148008 | + | 0.137331i | ||||
\(426\) | −1.05389 | − | 1.32154i | −0.0510612 | − | 0.0640287i | ||||
\(427\) | −9.26422 | − | 6.31624i | −0.448327 | − | 0.305664i | ||||
\(428\) | 6.29076 | + | 3.02947i | 0.304075 | + | 0.146435i | ||||
\(429\) | −3.06463 | −0.147962 | ||||||||
\(430\) | −0.145428 | + | 6.55583i | −0.00701316 | + | 0.316150i | ||||
\(431\) | 15.5055 | 0.746872 | 0.373436 | − | 0.927656i | \(-0.378179\pi\) | ||||
0.373436 | + | 0.927656i | \(0.378179\pi\) | |||||||
\(432\) | 3.03151 | + | 1.45990i | 0.145853 | + | 0.0702393i | ||||
\(433\) | −26.8692 | − | 18.3191i | −1.29125 | − | 0.880361i | −0.294100 | − | 0.955775i | \(-0.595020\pi\) |
−0.997152 | + | 0.0754133i | \(0.975972\pi\) | |||||||
\(434\) | 5.21775 | + | 6.54285i | 0.250460 | + | 0.314067i | ||||
\(435\) | 3.16928 | − | 2.94066i | 0.151955 | − | 0.140994i | ||||
\(436\) | 7.24911 | + | 12.5558i | 0.347169 | + | 0.601315i | ||||
\(437\) | 2.48467 | − | 4.30358i | 0.118858 | − | 0.205868i | ||||
\(438\) | −1.47910 | − | 6.48034i | −0.0706740 | − | 0.309643i | ||||
\(439\) | −8.76578 | − | 22.3348i | −0.418368 | − | 1.06598i | −0.972365 | − | 0.233466i | \(-0.924993\pi\) |
0.553997 | − | 0.832519i | \(-0.313102\pi\) | |||||||
\(440\) | −6.12270 | + | 1.88860i | −0.291888 | + | 0.0900356i | ||||
\(441\) | 5.16991 | − | 6.48286i | 0.246186 | − | 0.308708i | ||||
\(442\) | 0.249591 | + | 3.33056i | 0.0118718 | + | 0.158419i | ||||
\(443\) | 16.3663 | + | 5.04835i | 0.777588 | + | 0.239854i | 0.658049 | − | 0.752975i | \(-0.271382\pi\) |
0.119539 | + | 0.992829i | \(0.461858\pi\) | |||||||
\(444\) | 4.15367 | − | 2.83192i | 0.197124 | − | 0.134397i | ||||
\(445\) | 5.58893 | − | 0.842396i | 0.264941 | − | 0.0399334i | ||||
\(446\) | 5.98313 | − | 26.2138i | 0.283310 | − | 1.24126i | ||||
\(447\) | 1.31688 | + | 1.22188i | 0.0622862 | + | 0.0577931i | ||||
\(448\) | 0.146911 | − | 1.96038i | 0.00694087 | − | 0.0926195i | ||||
\(449\) | −1.25796 | + | 3.20523i | −0.0593668 | + | 0.151264i | −0.957480 | − | 0.288501i | \(-0.906843\pi\) |
0.898113 | + | 0.439765i | \(0.144938\pi\) | |||||||
\(450\) | 2.61514 | + | 0.394169i | 0.123279 | + | 0.0185813i | ||||
\(451\) | −65.6225 | + | 31.6021i | −3.09004 | + | 1.48809i | ||||
\(452\) | 9.77172 | − | 4.70581i | 0.459623 | − | 0.221343i | ||||
\(453\) | −7.43718 | − | 1.12097i | −0.349429 | − | 0.0526680i | ||||
\(454\) | −0.321656 | + | 0.819566i | −0.0150961 | + | 0.0384642i | ||||
\(455\) | 0.117881 | − | 1.57301i | 0.00552633 | − | 0.0737438i | ||||
\(456\) | 1.00302 | + | 0.930663i | 0.0469705 | + | 0.0435823i | ||||
\(457\) | −7.06150 | + | 30.9384i | −0.330323 | + | 1.44724i | 0.488183 | + | 0.872741i | \(0.337660\pi\) |
−0.818506 | + | 0.574498i | \(0.805197\pi\) | |||||||
\(458\) | 10.1044 | − | 1.52300i | 0.472149 | − | 0.0711649i | ||||
\(459\) | −11.5717 | + | 7.88948i | −0.540122 | + | 0.368249i | ||||
\(460\) | 2.06871 | + | 0.638113i | 0.0964541 | + | 0.0297522i | ||||
\(461\) | 0.518945 | + | 6.92484i | 0.0241697 | + | 0.322522i | 0.996163 | + | 0.0875146i | \(0.0278924\pi\) |
−0.971994 | + | 0.235008i | \(0.924489\pi\) | |||||||
\(462\) | −4.68140 | + | 5.87029i | −0.217798 | + | 0.273111i | ||||
\(463\) | −8.07744 | + | 2.49156i | −0.375390 | + | 0.115793i | −0.476708 | − | 0.879061i | \(-0.658170\pi\) |
0.101318 | + | 0.994854i | \(0.467694\pi\) | |||||||
\(464\) | −2.64981 | − | 6.75161i | −0.123014 | − | 0.313436i | ||||
\(465\) | −0.564647 | − | 2.47388i | −0.0261849 | − | 0.114723i | ||||
\(466\) | 2.71860 | − | 4.70876i | 0.125937 | − | 0.218129i | ||||
\(467\) | −0.704323 | − | 1.21992i | −0.0325922 | − | 0.0564513i | 0.849269 | − | 0.527960i | \(-0.177043\pi\) |
−0.881861 | + | 0.471509i | \(0.843710\pi\) | |||||||
\(468\) | 1.55560 | − | 1.44338i | 0.0719076 | − | 0.0667205i | ||||
\(469\) | 10.8990 | + | 13.6669i | 0.503270 | + | 0.631080i | ||||
\(470\) | 3.01342 | + | 2.05452i | 0.138999 | + | 0.0947678i | ||||
\(471\) | −5.65106 | − | 2.72141i | −0.260387 | − | 0.125396i | ||||
\(472\) | 3.06031 | 0.140862 | ||||||||
\(473\) | −22.8927 | − | 35.2315i | −1.05261 | − | 1.61995i | ||||
\(474\) | −7.42077 | −0.340847 | ||||||||
\(475\) | 2.06811 | + | 0.995949i | 0.0948913 | + | 0.0456973i | ||||
\(476\) | 6.76094 | + | 4.60953i | 0.309887 | + | 0.211277i | ||||
\(477\) | 17.1942 | + | 21.5608i | 0.787266 | + | 0.987201i | ||||
\(478\) | 0.0672628 | − | 0.0624108i | 0.00307653 | − | 0.00285460i | ||||
\(479\) | −12.6608 | − | 21.9292i | −0.578488 | − | 1.00197i | −0.995653 | − | 0.0931393i | \(-0.970310\pi\) |
0.417166 | − | 0.908831i | \(-0.363024\pi\) | |||||||
\(480\) | −0.298043 | + | 0.516226i | −0.0136038 | + | 0.0235624i | ||||
\(481\) | −1.50584 | − | 6.59749i | −0.0686602 | − | 0.300820i | ||||
\(482\) | 10.1836 | + | 25.9473i | 0.463850 | + | 1.18187i | ||||
\(483\) | 2.42419 | − | 0.747764i | 0.110304 | − | 0.0340244i | ||||
\(484\) | 18.7385 | − | 23.4974i | 0.851752 | − | 1.06806i | ||||
\(485\) | 0.149007 | + | 1.98836i | 0.00676606 | + | 0.0902868i | ||||
\(486\) | 13.0225 | + | 4.01692i | 0.590714 | + | 0.182211i | ||||
\(487\) | −5.35275 | + | 3.64944i | −0.242556 | + | 0.165372i | −0.678497 | − | 0.734603i | \(-0.737368\pi\) |
0.435940 | + | 0.899976i | \(0.356416\pi\) | |||||||
\(488\) | 5.63986 | − | 0.850072i | 0.255304 | − | 0.0384809i | ||||
\(489\) | −0.866820 | + | 3.79779i | −0.0391990 | + | 0.171742i | ||||
\(490\) | 2.29834 | + | 2.13255i | 0.103829 | + | 0.0963389i | ||||
\(491\) | 0.397626 | − | 5.30595i | 0.0179446 | − | 0.239454i | −0.981018 | − | 0.193917i | \(-0.937881\pi\) |
0.998963 | − | 0.0455376i | \(-0.0145001\pi\) | |||||||
\(492\) | −2.47555 | + | 6.30760i | −0.111606 | + | 0.284369i | ||||
\(493\) | 29.8526 | + | 4.49956i | 1.34450 | + | 0.202650i | ||||
\(494\) | 1.65945 | − | 0.799147i | 0.0746620 | − | 0.0359553i | ||||
\(495\) | −15.2673 | + | 7.35235i | −0.686214 | + | 0.330463i | ||||
\(496\) | −4.20938 | − | 0.634462i | −0.189007 | − | 0.0284882i | ||||
\(497\) | −2.03663 | + | 5.18925i | −0.0913554 | + | 0.232770i | ||||
\(498\) | −0.479789 | + | 6.40234i | −0.0214999 | + | 0.286896i | ||||
\(499\) | 1.05982 | + | 0.983369i | 0.0474440 | + | 0.0440216i | 0.703539 | − | 0.710657i | \(-0.251602\pi\) |
−0.656094 | + | 0.754679i | \(0.727793\pi\) | |||||||
\(500\) | −0.222521 | + | 0.974928i | −0.00995144 | + | 0.0436001i | ||||
\(501\) | 8.37185 | − | 1.26185i | 0.374027 | − | 0.0563755i | ||||
\(502\) | −8.55352 | + | 5.83169i | −0.381762 | + | 0.260281i | ||||
\(503\) | −7.47120 | − | 2.30456i | −0.333124 | − | 0.102755i | 0.123681 | − | 0.992322i | \(-0.460530\pi\) |
−0.456805 | + | 0.889567i | \(0.651006\pi\) | |||||||
\(504\) | −0.388531 | − | 5.18459i | −0.0173066 | − | 0.230940i | ||||
\(505\) | 2.72118 | − | 3.41226i | 0.121091 | − | 0.151843i | ||||
\(506\) | −13.2550 | + | 4.08862i | −0.589256 | + | 0.181761i | ||||
\(507\) | −2.69086 | − | 6.85620i | −0.119505 | − | 0.304495i | ||||
\(508\) | 3.05753 | + | 13.3959i | 0.135656 | + | 0.594347i | ||||
\(509\) | 12.3345 | − | 21.3641i | 0.546719 | − | 0.946945i | −0.451778 | − | 0.892131i | \(-0.649210\pi\) |
0.998497 | − | 0.0548145i | \(-0.0174568\pi\) | |||||||
\(510\) | −1.24058 | − | 2.14874i | −0.0549337 | − | 0.0951479i | ||||
\(511\) | −16.0697 | + | 14.9105i | −0.710882 | + | 0.659602i | ||||
\(512\) | 0.623490 | + | 0.781831i | 0.0275546 | + | 0.0345524i | ||||
\(513\) | 6.38143 | + | 4.35079i | 0.281747 | + | 0.192092i | ||||
\(514\) | 22.2551 | + | 10.7175i | 0.981632 | + | 0.472729i | ||||
\(515\) | −13.1684 | −0.580270 | ||||||||
\(516\) | −3.79057 | − | 0.954091i | −0.166871 | − | 0.0420015i | ||||
\(517\) | −23.3687 | −1.02775 | ||||||||
\(518\) | −14.9377 | − | 7.19362i | −0.656325 | − | 0.316070i | ||||
\(519\) | −0.941659 | − | 0.642012i | −0.0413342 | − | 0.0281812i | ||||
\(520\) | 0.500287 | + | 0.627340i | 0.0219390 | + | 0.0275107i | ||||
\(521\) | 26.6341 | − | 24.7128i | 1.16686 | − | 1.08269i | 0.171629 | − | 0.985162i | \(-0.445097\pi\) |
0.995233 | − | 0.0975280i | \(-0.0310935\pi\) | |||||||
\(522\) | −9.59091 | − | 16.6119i | −0.419783 | − | 0.727085i | ||||
\(523\) | −5.94473 | + | 10.2966i | −0.259945 | + | 0.450238i | −0.966227 | − | 0.257693i | \(-0.917038\pi\) |
0.706282 | + | 0.707931i | \(0.250371\pi\) | |||||||
\(524\) | 0.0710403 | + | 0.311248i | 0.00310341 | + | 0.0135969i | ||||
\(525\) | 0.428120 | + | 1.09083i | 0.0186847 | + | 0.0476078i | ||||
\(526\) | 2.32861 | − | 0.718281i | 0.101532 | − | 0.0313186i | ||||
\(527\) | 11.0476 | − | 13.8533i | 0.481243 | − | 0.603460i | ||||
\(528\) | −0.285420 | − | 3.80867i | −0.0124213 | − | 0.165751i | ||||
\(529\) | −17.4996 | − | 5.39793i | −0.760854 | − | 0.234692i | ||||
\(530\) | −8.61557 | + | 5.87399i | −0.374236 | + | 0.255150i | ||||
\(531\) | 8.00314 | − | 1.20628i | 0.347307 | − | 0.0523481i | ||||
\(532\) | 1.00413 | − | 4.39940i | 0.0435347 | − | 0.190738i | ||||
\(533\) | 6.68634 | + | 6.20401i | 0.289617 | + | 0.268726i | ||||
\(534\) | −0.251775 | + | 3.35970i | −0.0108954 | + | 0.145388i | ||||
\(535\) | −2.55089 | + | 6.49956i | −0.110285 | + | 0.281000i | ||||
\(536\) | −8.79270 | − | 1.32529i | −0.379787 | − | 0.0572437i | ||||
\(537\) | −6.36493 | + | 3.06519i | −0.274667 | + | 0.132273i | ||||
\(538\) | −20.8067 | + | 10.0200i | −0.897042 | + | 0.431992i | ||||
\(539\) | −19.8647 | − | 2.99412i | −0.855633 | − | 0.128966i | ||||
\(540\) | −1.22927 | + | 3.13213i | −0.0528994 | + | 0.134785i | ||||
\(541\) | −0.00676431 | + | 0.0902635i | −0.000290821 | + | 0.00388073i | −0.997347 | − | 0.0727896i | \(-0.976810\pi\) |
0.997056 | + | 0.0766703i | \(0.0244289\pi\) | |||||||
\(542\) | 10.8264 | + | 10.0454i | 0.465034 | + | 0.431489i | ||||
\(543\) | −1.77012 | + | 7.75542i | −0.0759633 | + | 0.332817i | ||||
\(544\) | −4.11591 | + | 0.620374i | −0.176468 | + | 0.0265983i | ||||
\(545\) | −11.9790 | + | 8.16714i | −0.513123 | + | 0.349842i | ||||
\(546\) | 0.898505 | + | 0.277152i | 0.0384525 | + | 0.0118610i | ||||
\(547\) | 1.96606 | + | 26.2352i | 0.0840626 | + | 1.12174i | 0.866556 | + | 0.499079i | \(0.166328\pi\) |
−0.782494 | + | 0.622658i | \(0.786053\pi\) | |||||||
\(548\) | 5.69924 | − | 7.14663i | 0.243460 | − | 0.305289i | ||||
\(549\) | 14.4140 | − | 4.44612i | 0.615172 | − | 0.189756i | ||||
\(550\) | −2.34087 | − | 5.96445i | −0.0998151 | − | 0.254325i | ||||
\(551\) | −3.70468 | − | 16.2313i | −0.157825 | − | 0.691476i | ||||
\(552\) | −0.645231 | + | 1.11757i | −0.0274629 | + | 0.0475671i | ||||
\(553\) | 12.2368 | + | 21.1947i | 0.520360 | + | 0.901290i | ||||
\(554\) | 11.5306 | − | 10.6989i | 0.489890 | − | 0.454552i | ||||
\(555\) | 3.13441 | + | 3.93042i | 0.133048 | + | 0.166837i | ||||
\(556\) | −5.45773 | − | 3.72102i | −0.231460 | − | 0.157806i | ||||
\(557\) | 11.4457 | + | 5.51195i | 0.484969 | + | 0.233549i | 0.660359 | − | 0.750950i | \(-0.270404\pi\) |
−0.175390 | + | 0.984499i | \(0.556119\pi\) | |||||||
\(558\) | −11.2582 | −0.476598 | ||||||||
\(559\) | −3.05969 | + | 4.28060i | −0.129411 | + | 0.181050i | ||||
\(560\) | 1.96588 | 0.0830737 | ||||||||
\(561\) | 14.3233 | + | 6.89773i | 0.604730 | + | 0.291222i | ||||
\(562\) | −23.2841 | − | 15.8748i | −0.982180 | − | 0.669639i | ||||
\(563\) | −1.00994 | − | 1.26642i | −0.0425639 | − | 0.0533734i | 0.760094 | − | 0.649813i | \(-0.225153\pi\) |
−0.802658 | + | 0.596440i | \(0.796581\pi\) | |||||||
\(564\) | −1.59367 | + | 1.47871i | −0.0671056 | + | 0.0622649i | ||||
\(565\) | 5.42290 | + | 9.39274i | 0.228143 | + | 0.395155i | ||||
\(566\) | −10.0367 | + | 17.3840i | −0.421873 | + | 0.730705i | ||||
\(567\) | −2.59337 | − | 11.3623i | −0.108911 | − | 0.477171i | ||||
\(568\) | −1.03599 | − | 2.63966i | −0.0434691 | − | 0.110758i | ||||
\(569\) | −22.1977 | + | 6.84710i | −0.930578 | + | 0.287045i | −0.722741 | − | 0.691118i | \(-0.757118\pi\) |
−0.207836 | + | 0.978164i | \(0.566642\pi\) | |||||||
\(570\) | −0.853105 | + | 1.06976i | −0.0357326 | + | 0.0448073i | ||||
\(571\) | 2.32741 | + | 31.0571i | 0.0973989 | + | 1.29970i | 0.805080 | + | 0.593166i | \(0.202122\pi\) |
−0.707681 | + | 0.706532i | \(0.750259\pi\) | |||||||
\(572\) | −4.91284 | − | 1.51541i | −0.205416 | − | 0.0633625i | ||||
\(573\) | −13.3844 | + | 9.12533i | −0.559142 | + | 0.381216i | ||||
\(574\) | 22.0975 | − | 3.33066i | 0.922332 | − | 0.139019i | ||||
\(575\) | −0.481733 | + | 2.11061i | −0.0200897 | + | 0.0880186i | ||||
\(576\) | 1.93869 | + | 1.79884i | 0.0807787 | + | 0.0749516i | ||||
\(577\) | 0.633166 | − | 8.44902i | 0.0263591 | − | 0.351737i | −0.968394 | − | 0.249427i | \(-0.919758\pi\) |
0.994753 | − | 0.102310i | \(-0.0326233\pi\) | |||||||
\(578\) | 0.118951 | − | 0.303082i | 0.00494771 | − | 0.0126065i | ||||
\(579\) | −4.23979 | − | 0.639045i | −0.176200 | − | 0.0265578i | ||||
\(580\) | 6.53471 | − | 3.14695i | 0.271339 | − | 0.130670i | ||||
\(581\) | 19.0771 | − | 9.18705i | 0.791452 | − | 0.381143i | ||||
\(582\) | −1.17528 | − | 0.177145i | −0.0487171 | − | 0.00734292i | ||||
\(583\) | 24.4093 | − | 62.1940i | 1.01093 | − | 2.57581i | ||||
\(584\) | 0.833319 | − | 11.1199i | 0.0344830 | − | 0.460144i | ||||
\(585\) | 1.55560 | + | 1.44338i | 0.0643161 | + | 0.0596766i | ||||
\(586\) | 2.97742 | − | 13.0449i | 0.122996 | − | 0.538880i | ||||
\(587\) | −17.4301 | + | 2.62717i | −0.719418 | + | 0.108435i | −0.498540 | − | 0.866867i | \(-0.666130\pi\) |
−0.220878 | + | 0.975301i | \(0.570892\pi\) | |||||||
\(588\) | −1.54417 | + | 1.05280i | −0.0636806 | + | 0.0434167i | ||||
\(589\) | −9.33735 | − | 2.88019i | −0.384739 | − | 0.118676i | ||||
\(590\) | 0.228697 | + | 3.05175i | 0.00941531 | + | 0.125639i | ||||
\(591\) | −7.47250 | + | 9.37022i | −0.307378 | + | 0.385439i | ||||
\(592\) | 8.05899 | − | 2.48587i | 0.331222 | − | 0.102169i | ||||
\(593\) | −2.61232 | − | 6.65609i | −0.107275 | − | 0.273333i | 0.867149 | − | 0.498049i | \(-0.165950\pi\) |
−0.974424 | + | 0.224716i | \(0.927855\pi\) | |||||||
\(594\) | −4.79732 | − | 21.0185i | −0.196837 | − | 0.862398i | ||||
\(595\) | −4.09139 | + | 7.08650i | −0.167731 | + | 0.290518i | ||||
\(596\) | 1.50685 | + | 2.60995i | 0.0617231 | + | 0.106908i | ||||
\(597\) | −6.91584 | + | 6.41696i | −0.283047 | + | 0.262629i | ||||
\(598\) | 1.08307 | + | 1.35812i | 0.0442899 | + | 0.0555377i | ||||
\(599\) | −1.80338 | − | 1.22953i | −0.0736843 | − | 0.0502371i | 0.525918 | − | 0.850536i | \(-0.323722\pi\) |
−0.599602 | + | 0.800298i | \(0.704674\pi\) | |||||||
\(600\) | −0.537056 | − | 0.258632i | −0.0219252 | − | 0.0105586i | ||||
\(601\) | 45.7122 | 1.86464 | 0.932320 | − | 0.361635i | \(-0.117781\pi\) | ||||
0.932320 | + | 0.361635i | \(0.117781\pi\) | |||||||
\(602\) | 3.52561 | + | 12.3997i | 0.143693 | + | 0.505373i | ||||
\(603\) | −23.5165 | −0.957668 | ||||||||
\(604\) | −11.3681 | − | 5.47457i | −0.462560 | − | 0.222757i | ||||
\(605\) | 24.8320 | + | 16.9302i | 1.00957 | + | 0.688310i | ||||
\(606\) | 1.62206 | + | 2.03400i | 0.0658917 | + | 0.0826256i | ||||
\(607\) | −26.2804 | + | 24.3846i | −1.06669 | + | 0.989742i | −0.999968 | − | 0.00803018i | \(-0.997444\pi\) |
−0.0667200 | + | 0.997772i | \(0.521253\pi\) | |||||||
\(608\) | 1.14771 | + | 1.98790i | 0.0465459 | + | 0.0806199i | ||||
\(609\) | 4.24965 | − | 7.36062i | 0.172205 | − | 0.298267i | ||||
\(610\) | 1.26916 | + | 5.56056i | 0.0513869 | + | 0.225141i | ||||
\(611\) | 1.06916 | + | 2.72417i | 0.0432536 | + | 0.110208i | ||||
\(612\) | −10.5192 | + | 3.24473i | −0.425212 | + | 0.131160i | ||||
\(613\) | 5.67597 | − | 7.11744i | 0.229250 | − | 0.287471i | −0.653880 | − | 0.756598i | \(-0.726860\pi\) |
0.883131 | + | 0.469127i | \(0.155431\pi\) | |||||||
\(614\) | −0.585447 | − | 7.81224i | −0.0236267 | − | 0.315276i | ||||
\(615\) | −6.47496 | − | 1.99726i | −0.261096 | − | 0.0805373i | ||||
\(616\) | −10.4074 | + | 7.09565i | −0.419326 | + | 0.285892i | ||||
\(617\) | −14.5400 | + | 2.19155i | −0.585357 | + | 0.0882284i | −0.435043 | − | 0.900410i | \(-0.643267\pi\) |
−0.150315 | + | 0.988638i | \(0.548029\pi\) | |||||||
\(618\) | 1.74668 | − | 7.65272i | 0.0702619 | − | 0.307837i | ||||
\(619\) | −0.141554 | − | 0.131343i | −0.00568954 | − | 0.00527912i | 0.677323 | − | 0.735686i | \(-0.263140\pi\) |
−0.683012 | + | 0.730407i | \(0.739331\pi\) | |||||||
\(620\) | 0.318121 | − | 4.24503i | 0.0127760 | − | 0.170484i | ||||
\(621\) | −2.66124 | + | 6.78072i | −0.106792 | + | 0.272101i | ||||
\(622\) | −14.0739 | − | 2.12130i | −0.564312 | − | 0.0850563i | ||||
\(623\) | 10.0109 | − | 4.82100i | 0.401079 | − | 0.193149i | ||||
\(624\) | −0.430932 | + | 0.207526i | −0.0172511 | + | 0.00830769i | ||||
\(625\) | −0.988831 | − | 0.149042i | −0.0395532 | − | 0.00596169i | ||||
\(626\) | −7.42468 | + | 18.9178i | −0.296750 | + | 0.756106i | ||||
\(627\) | 0.655161 | − | 8.74252i | 0.0261646 | − | 0.349142i | ||||
\(628\) | −7.71338 | − | 7.15697i | −0.307798 | − | 0.285594i | ||||
\(629\) | −7.81145 | + | 34.2242i | −0.311463 | + | 1.36461i | ||||
\(630\) | 5.14106 | − | 0.774890i | 0.204825 | − | 0.0308724i | ||||
\(631\) | −19.6743 | + | 13.4137i | −0.783221 | + | 0.533991i | −0.887638 | − | 0.460542i | \(-0.847655\pi\) |
0.104416 | + | 0.994534i | \(0.466703\pi\) | |||||||
\(632\) | −11.8961 | − | 3.66945i | −0.473200 | − | 0.145963i | ||||
\(633\) | 0.568842 | + | 7.59067i | 0.0226094 | + | 0.301702i | ||||
\(634\) | 15.4959 | − | 19.4312i | 0.615420 | − | 0.771713i | ||||
\(635\) | −13.1299 | + | 4.05005i | −0.521046 | + | 0.160721i | ||||
\(636\) | −2.27084 | − | 5.78600i | −0.0900446 | − | 0.229430i | ||||
\(637\) | 0.559810 | + | 2.45269i | 0.0221805 | + | 0.0971791i | ||||
\(638\) | −23.2362 | + | 40.2464i | −0.919932 | + | 1.59337i | ||||
\(639\) | −3.74973 | − | 6.49472i | −0.148337 | − | 0.256927i | ||||
\(640\) | −0.733052 | + | 0.680173i | −0.0289764 | + | 0.0268862i | ||||
\(641\) | 25.2671 | + | 31.6839i | 0.997991 | + | 1.25144i | 0.967754 | + | 0.251898i | \(0.0810547\pi\) |
0.0302369 | + | 0.999543i | \(0.490374\pi\) | |||||||
\(642\) | −3.43881 | − | 2.34454i | −0.135719 | − | 0.0925317i | ||||
\(643\) | −4.49605 | − | 2.16518i | −0.177307 | − | 0.0853865i | 0.343125 | − | 0.939290i | \(-0.388515\pi\) |
−0.520432 | + | 0.853903i | \(0.674229\pi\) | |||||||
\(644\) | 4.25592 | 0.167707 | ||||||||
\(645\) | 0.668153 | − | 3.85127i | 0.0263085 | − | 0.151644i | ||||
\(646\) | −9.55449 | −0.375916 | ||||||||
\(647\) | 27.2156 | + | 13.1064i | 1.06996 | + | 0.515264i | 0.884093 | − | 0.467312i | \(-0.154777\pi\) |
0.185864 | + | 0.982576i | \(0.440492\pi\) | |||||||
\(648\) | 4.89825 | + | 3.33957i | 0.192422 | + | 0.131191i | ||||
\(649\) | −12.2257 | − | 15.3305i | −0.479901 | − | 0.601777i | ||||
\(650\) | −0.588199 | + | 0.545769i | −0.0230711 | + | 0.0214068i | ||||
\(651\) | −2.49421 | − | 4.32010i | −0.0977559 | − | 0.169318i | ||||
\(652\) | −3.26752 | + | 5.65951i | −0.127966 | + | 0.221644i | ||||
\(653\) | −2.37402 | − | 10.4012i | −0.0929024 | − | 0.407032i | 0.906998 | − | 0.421135i | \(-0.138368\pi\) |
−0.999901 | + | 0.0141026i | \(0.995511\pi\) | |||||||
\(654\) | −3.15735 | − | 8.04479i | −0.123462 | − | 0.314576i | ||||
\(655\) | −0.305069 | + | 0.0941012i | −0.0119200 | + | 0.00367684i | ||||
\(656\) | −7.08750 | + | 8.88744i | −0.276720 | + | 0.346996i | ||||
\(657\) | −2.20386 | − | 29.4085i | −0.0859809 | − | 1.14734i | ||||
\(658\) | 6.85134 | + | 2.11336i | 0.267093 | + | 0.0823873i | ||||
\(659\) | 19.5464 | − | 13.3265i | 0.761421 | − | 0.519128i | −0.119246 | − | 0.992865i | \(-0.538048\pi\) |
0.880666 | + | 0.473737i | \(0.157095\pi\) | |||||||
\(660\) | 3.77669 | − | 0.569244i | 0.147007 | − | 0.0221578i | ||||
\(661\) | 6.74768 | − | 29.5635i | 0.262454 | − | 1.14989i | −0.656125 | − | 0.754652i | \(-0.727806\pi\) |
0.918580 | − | 0.395236i | \(-0.129337\pi\) | |||||||
\(662\) | 10.8105 | + | 10.0307i | 0.420163 | + | 0.389855i | ||||
\(663\) | 0.148778 | − | 1.98531i | 0.00577806 | − | 0.0771029i | ||||
\(664\) | −3.93499 | + | 10.0262i | −0.152707 | + | 0.389092i | ||||
\(665\) | 4.46214 | + | 0.672559i | 0.173034 | + | 0.0260807i | ||||
\(666\) | 20.0955 | − | 9.67750i | 0.778687 | − | 0.374996i | ||||
\(667\) | 14.1469 | − | 6.81280i | 0.547772 | − | 0.263793i | ||||
\(668\) | 14.0447 | + | 2.11690i | 0.543405 | + | 0.0819051i | ||||
\(669\) | −5.85552 | + | 14.9196i | −0.226388 | + | 0.576826i | ||||
\(670\) | 0.664501 | − | 8.86715i | 0.0256719 | − | 0.342568i | ||||
\(671\) | −26.7892 | − | 24.8568i | −1.03419 | − | 0.959585i | ||||
\(672\) | −0.260758 | + | 1.14246i | −0.0100590 | + | 0.0440712i | ||||
\(673\) | 33.1655 | − | 4.99890i | 1.27844 | − | 0.192693i | 0.525504 | − | 0.850791i | \(-0.323877\pi\) |
0.752933 | + | 0.658097i | \(0.228639\pi\) | |||||||
\(674\) | −11.6053 | + | 7.91233i | −0.447018 | + | 0.304771i | ||||
\(675\) | −3.21523 | − | 0.991769i | −0.123754 | − | 0.0381732i | ||||
\(676\) | −0.923377 | − | 12.3216i | −0.0355145 | − | 0.473908i | ||||
\(677\) | −5.29696 | + | 6.64218i | −0.203579 | + | 0.255280i | −0.873131 | − | 0.487485i | \(-0.837914\pi\) |
0.669553 | + | 0.742765i | \(0.266486\pi\) | |||||||
\(678\) | −6.17781 | + | 1.90560i | −0.237257 | + | 0.0731842i | ||||
\(679\) | 1.43208 | + | 3.64888i | 0.0549581 | + | 0.140031i | ||||
\(680\) | −0.926222 | − | 4.05804i | −0.0355190 | − | 0.155619i | ||||
\(681\) | 0.262405 | − | 0.454500i | 0.0100554 | − | 0.0174165i | ||||
\(682\) | 13.6378 | + | 23.6214i | 0.522220 | + | 0.904512i | ||||
\(683\) | 25.2752 | − | 23.4519i | 0.967128 | − | 0.897364i | −0.0276304 | − | 0.999618i | \(-0.508796\pi\) |
0.994758 | + | 0.102255i | \(0.0326057\pi\) | |||||||
\(684\) | 3.78500 | + | 4.74624i | 0.144723 | + | 0.181477i | ||||
\(685\) | 7.55255 | + | 5.14924i | 0.288568 | + | 0.196742i | ||||
\(686\) | 17.9516 | + | 8.64505i | 0.685397 | + | 0.330070i | ||||
\(687\) | −6.09115 | −0.232392 | ||||||||
\(688\) | −5.60480 | − | 3.40386i | −0.213681 | − | 0.129771i | ||||
\(689\) | −8.36697 | −0.318756 | ||||||||
\(690\) | −1.16267 | − | 0.559911i | −0.0442620 | − | 0.0213154i | ||||
\(691\) | −20.4488 | − | 13.9418i | −0.777909 | − | 0.530370i | 0.108043 | − | 0.994146i | \(-0.465542\pi\) |
−0.885952 | + | 0.463777i | \(0.846494\pi\) | |||||||
\(692\) | −1.19209 | − | 1.49483i | −0.0453163 | − | 0.0568249i | ||||
\(693\) | −24.4199 | + | 22.6584i | −0.927637 | + | 0.860721i | ||||
\(694\) | 15.4799 | + | 26.8120i | 0.587609 | + | 1.01777i | ||||
\(695\) | 3.30276 | − | 5.72055i | 0.125281 | − | 0.216993i | ||||
\(696\) | 0.962049 | + | 4.21501i | 0.0364664 | + | 0.159770i | ||||
\(697\) | −17.2865 | − | 44.0452i | −0.654772 | − | 1.66833i | ||||
\(698\) | −1.96417 | + | 0.605866i | −0.0743449 | + | 0.0229324i | ||||
\(699\) | −2.02076 | + | 2.53395i | −0.0764321 | + | 0.0958429i | ||||
\(700\) | 0.146911 | + | 1.96038i | 0.00555270 | + | 0.0740956i | ||||
\(701\) | 34.5919 | + | 10.6702i | 1.30652 | + | 0.403007i | 0.868379 | − | 0.495901i | \(-0.165162\pi\) |
0.438137 | + | 0.898908i | \(0.355638\pi\) | |||||||
\(702\) | −2.23072 | + | 1.52088i | −0.0841929 | + | 0.0574018i | ||||
\(703\) | 19.1427 | − | 2.88529i | 0.721979 | − | 0.108821i | ||||
\(704\) | 1.42577 | − | 6.24672i | 0.0537358 | − | 0.235432i | ||||
\(705\) | −1.59367 | − | 1.47871i | −0.0600211 | − | 0.0556915i | ||||
\(706\) | 1.70777 | − | 22.7886i | 0.0642727 | − | 0.857660i | ||||
\(707\) | 3.13462 | − | 7.98687i | 0.117889 | − | 0.300377i | ||||
\(708\) | −1.80383 | − | 0.271884i | −0.0677923 | − | 0.0102180i | ||||
\(709\) | −23.9602 | + | 11.5386i | −0.899845 | + | 0.433343i | −0.825833 | − | 0.563915i | \(-0.809295\pi\) |
−0.0740121 | + | 0.997257i | \(0.523580\pi\) | |||||||
\(710\) | 2.55486 | − | 1.23035i | 0.0958821 | − | 0.0461744i | ||||
\(711\) | −32.5563 | − | 4.90707i | −1.22095 | − | 0.184029i | ||||
\(712\) | −2.06493 | + | 5.26135i | −0.0773865 | + | 0.197178i | ||||
\(713\) | 0.688696 | − | 9.19002i | 0.0257919 | − | 0.344169i | ||||
\(714\) | −3.57557 | − | 3.31765i | −0.133812 | − | 0.124160i | ||||
\(715\) | 1.14404 | − | 5.01235i | 0.0427845 | − | 0.187451i | ||||
\(716\) | −11.7191 | + | 1.76638i | −0.437965 | + | 0.0660126i | ||||
\(717\) | −0.0451914 | + | 0.0308110i | −0.00168770 | + | 0.00115066i | ||||
\(718\) | −14.8098 | − | 4.56823i | −0.552698 | − | 0.170485i | ||||
\(719\) | 3.90655 | + | 52.1292i | 0.145690 | + | 1.94409i | 0.295424 | + | 0.955366i | \(0.404539\pi\) |
−0.149735 | + | 0.988726i | \(0.547842\pi\) | |||||||
\(720\) | −1.64893 | + | 2.06769i | −0.0614520 | + | 0.0770584i | ||||
\(721\) | −24.7374 | + | 7.63049i | −0.921271 | + | 0.284174i | ||||
\(722\) | −5.01650 | − | 12.7818i | −0.186695 | − | 0.475691i | ||||
\(723\) | −3.69728 | − | 16.1989i | −0.137503 | − | 0.602442i | ||||
\(724\) | −6.67257 | + | 11.5572i | −0.247984 | + | 0.429521i | ||||
\(725\) | 3.62649 | + | 6.28127i | 0.134685 | + | 0.233280i | ||||
\(726\) | −13.1326 | + | 12.1853i | −0.487397 | + | 0.452238i | ||||
\(727\) | −30.8162 | − | 38.6423i | −1.14291 | − | 1.43316i | −0.884139 | − | 0.467224i | \(-0.845254\pi\) |
−0.258770 | − | 0.965939i | \(-0.583317\pi\) | |||||||
\(728\) | 1.30332 | + | 0.888592i | 0.0483044 | + | 0.0329334i | ||||
\(729\) | 8.70486 | + | 4.19204i | 0.322402 | + | 0.155261i | ||||
\(730\) | 11.1511 | 0.412719 | ||||||||
\(731\) | 23.9347 | − | 13.1198i | 0.885259 | − | 0.485252i | ||||
\(732\) | −3.39982 | −0.125661 | ||||||||
\(733\) | −31.7896 | − | 15.3091i | −1.17418 | − | 0.565454i | −0.257968 | − | 0.966154i | \(-0.583053\pi\) |
−0.916209 | + | 0.400700i | \(0.868767\pi\) | |||||||
\(734\) | 23.7755 | + | 16.2099i | 0.877570 | + | 0.598317i | ||||
\(735\) | −1.16525 | − | 1.46118i | −0.0429809 | − | 0.0538964i | ||||
\(736\) | −1.58698 | + | 1.47250i | −0.0584967 | + | 0.0542770i | ||||
\(737\) | 28.4872 | + | 49.3413i | 1.04934 | + | 1.81751i | ||||
\(738\) | −15.0317 | + | 26.0356i | −0.553323 | + | 0.958384i | ||||
\(739\) | 2.02070 | + | 8.85327i | 0.0743327 | + | 0.325673i | 0.998399 | − | 0.0565587i | \(-0.0180128\pi\) |
−0.924067 | + | 0.382232i | \(0.875156\pi\) | |||||||
\(740\) | 3.08117 | + | 7.85069i | 0.113266 | + | 0.288597i | ||||
\(741\) | −1.04912 | + | 0.323612i | −0.0385405 | + | 0.0118882i | ||||
\(742\) | −12.7810 | + | 16.0269i | −0.469205 | + | 0.588365i | ||||
\(743\) | −1.21144 | − | 16.1655i | −0.0444434 | − | 0.593056i | −0.974318 | − | 0.225178i | \(-0.927704\pi\) |
0.929874 | − | 0.367878i | \(-0.119915\pi\) | |||||||
\(744\) | 2.42477 | + | 0.747941i | 0.0888962 | + | 0.0274209i | ||||
\(745\) | −2.49004 | + | 1.69768i | −0.0912281 | + | 0.0621982i | ||||
\(746\) | −6.37160 | + | 0.960364i | −0.233281 | + | 0.0351614i | ||||
\(747\) | −6.33854 | + | 27.7710i | −0.231915 | + | 1.01609i | ||||
\(748\) | 19.5505 | + | 18.1402i | 0.714837 | + | 0.663272i | ||||
\(749\) | −1.02576 | + | 13.6878i | −0.0374805 | + | 0.500142i | ||||
\(750\) | 0.217775 | − | 0.554882i | 0.00795202 | − | 0.0202614i | ||||
\(751\) | −18.7184 | − | 2.82134i | −0.683043 | − | 0.102952i | −0.201651 | − | 0.979457i | \(-0.564631\pi\) |
−0.481392 | + | 0.876505i | \(0.659869\pi\) | |||||||
\(752\) | −3.28597 | + | 1.58244i | −0.119827 | + | 0.0577057i | ||||
\(753\) | 5.55979 | − | 2.67745i | 0.202610 | − | 0.0975719i | ||||
\(754\) | 5.75478 | + | 0.867393i | 0.209577 | + | 0.0315886i | ||||
\(755\) | 4.60973 | − | 11.7454i | 0.167765 | − | 0.427459i | ||||
\(756\) | −0.494313 | + | 6.59615i | −0.0179780 | + | 0.239899i | ||||
\(757\) | −9.88500 | − | 9.17194i | −0.359276 | − | 0.333360i | 0.479795 | − | 0.877380i | \(-0.340711\pi\) |
−0.839072 | + | 0.544021i | \(0.816901\pi\) | |||||||
\(758\) | 0.186148 | − | 0.815567i | 0.00676119 | − | 0.0296227i | ||||
\(759\) | 8.17611 | − | 1.23235i | 0.296774 | − | 0.0447315i | ||||
\(760\) | −1.89657 | + | 1.29306i | −0.0687959 | + | 0.0469042i | ||||
\(761\) | 34.7006 | + | 10.7037i | 1.25789 | + | 0.388009i | 0.850854 | − | 0.525402i | \(-0.176085\pi\) |
0.407040 | + | 0.913410i | \(0.366561\pi\) | |||||||
\(762\) | −0.612075 | − | 8.16757i | −0.0221731 | − | 0.295880i | ||||
\(763\) | −17.7706 | + | 22.2836i | −0.643338 | + | 0.806720i | ||||
\(764\) | −25.9686 | + | 8.01024i | −0.939509 | + | 0.289800i | ||||
\(765\) | −4.02176 | − | 10.2473i | −0.145407 | − | 0.370491i | ||||
\(766\) | −5.98888 | − | 26.2390i | −0.216387 | − | 0.948053i | ||||
\(767\) | −1.22779 | + | 2.12660i | −0.0443330 | + | 0.0767870i | ||||
\(768\) | −0.298043 | − | 0.516226i | −0.0107547 | − | 0.0186277i | ||||
\(769\) | 19.4086 | − | 18.0086i | 0.699894 | − | 0.649406i | −0.247718 | − | 0.968832i | \(-0.579681\pi\) |
0.947611 | + | 0.319426i | \(0.103490\pi\) | |||||||
\(770\) | −7.85355 | − | 9.84804i | −0.283022 | − | 0.354899i | ||||
\(771\) | −12.1657 | − | 8.29440i | −0.438135 | − | 0.298716i | ||||
\(772\) | −6.48071 | − | 3.12094i | −0.233246 | − | 0.112325i | ||||
\(773\) | 11.7825 | 0.423786 | 0.211893 | − | 0.977293i | \(-0.432037\pi\) | ||||
0.211893 | + | 0.977293i | \(0.432037\pi\) | |||||||
\(774\) | −15.9990 | − | 6.69233i | −0.575073 | − | 0.240551i | ||||
\(775\) | 4.25693 | 0.152913 | ||||||||
\(776\) | −1.79647 | − | 0.865136i | −0.0644897 | − | 0.0310566i | ||||
\(777\) | 8.16562 | + | 5.56723i | 0.292940 | + | 0.199723i | ||||
\(778\) | 0.759972 | + | 0.952975i | 0.0272463 | + | 0.0341658i | ||||
\(779\) | −19.1277 | + | 17.7479i | −0.685320 | + | 0.635884i | ||||
\(780\) | −0.239149 | − | 0.414219i | −0.00856292 | − | 0.0148314i | ||||
\(781\) | −9.08461 | + | 15.7350i | −0.325073 | + | 0.563043i | ||||
\(782\) | −2.00517 | − | 8.78522i | −0.0717047 | − | 0.314159i | ||||
\(783\) | 8.91588 | + | 22.7173i | 0.318627 | + | 0.811849i | ||||
\(784\) | −2.99602 | + | 0.924149i | −0.107001 | + | 0.0330053i | ||||
\(785\) | 6.56054 | − | 8.22666i | 0.234156 | − | 0.293622i | ||||
\(786\) | −0.0142213 | − | 0.189770i | −0.000507256 | − | 0.00676886i | ||||
\(787\) | 36.9480 | + | 11.3969i | 1.31705 | + | 0.406257i | 0.872114 | − | 0.489303i | \(-0.162749\pi\) |
0.444940 | + | 0.895560i | \(0.353225\pi\) | |||||||
\(788\) | −16.6124 | + | 11.3261i | −0.591793 | + | 0.403477i | ||||
\(789\) | −1.43636 | + | 0.216497i | −0.0511359 | + | 0.00770750i | ||||
\(790\) | 2.77019 | − | 12.1370i | 0.0985591 | − | 0.431815i | ||||
\(791\) | 15.6298 | + | 14.5023i | 0.555732 | + | 0.515644i | ||||
\(792\) | 1.26633 | − | 16.8980i | 0.0449972 | − | 0.600446i | ||||
\(793\) | −1.67199 | + | 4.26017i | −0.0593742 | + | 0.151283i | ||||
\(794\) | −3.87075 | − | 0.583421i | −0.137368 | − | 0.0207048i | ||||
\(795\) | 5.60012 | − | 2.69688i | 0.198616 | − | 0.0956484i | ||||
\(796\) | −14.2597 | + | 6.86711i | −0.505422 | + | 0.243398i | ||||
\(797\) | −12.2554 | − | 1.84720i | −0.434108 | − | 0.0654312i | −0.0716465 | − | 0.997430i | \(-0.522825\pi\) |
−0.362461 | + | 0.931999i | \(0.618063\pi\) | |||||||
\(798\) | −0.982718 | + | 2.50393i | −0.0347878 | + | 0.0886380i | ||||
\(799\) | 1.13447 | − | 15.1385i | 0.0401347 | − | 0.535561i | ||||
\(800\) | −0.733052 | − | 0.680173i | −0.0259173 | − | 0.0240477i | ||||
\(801\) | −3.32622 | + | 14.5731i | −0.117526 | + | 0.514916i | ||||
\(802\) | 29.7861 | − | 4.48953i | 1.05178 | − | 0.158531i | ||||
\(803\) | −59.0338 | + | 40.2486i | −2.08326 | + | 1.42034i | ||||
\(804\) | 5.06493 | + | 1.56232i | 0.178626 | + | 0.0550989i | ||||
\(805\) | 0.318045 | + | 4.24402i | 0.0112096 | + | 0.149582i | ||||
\(806\) | 2.12969 | − | 2.67054i | 0.0750150 | − | 0.0940658i | ||||
\(807\) | 13.1543 | − | 4.05756i | 0.463053 | − | 0.142833i | ||||
\(808\) | 1.59451 | + | 4.06274i | 0.0560946 | + | 0.142927i | ||||
\(809\) | 0.0304643 | + | 0.133473i | 0.00107107 | + | 0.00469265i | 0.975461 | − | 0.220174i | \(-0.0706625\pi\) |
−0.974390 | + | 0.224867i | \(0.927805\pi\) | |||||||
\(810\) | −2.96419 | + | 5.13412i | −0.104151 | + | 0.180395i | ||||
\(811\) | −9.65315 | − | 16.7197i | −0.338968 | − | 0.587109i | 0.645271 | − | 0.763954i | \(-0.276744\pi\) |
−0.984239 | + | 0.176844i | \(0.943411\pi\) | |||||||
\(812\) | 10.4522 | − | 9.69825i | 0.366801 | − | 0.340342i | ||||
\(813\) | −5.48894 | − | 6.88291i | −0.192506 | − | 0.241394i | ||||
\(814\) | −44.6480 | − | 30.4405i | −1.56491 | − | 1.06694i | ||||
\(815\) | −5.88787 | − | 2.83545i | −0.206243 | − | 0.0993215i | ||||
\(816\) | 2.48115 | 0.0868577 | ||||||||
\(817\) | −11.5572 | − | 9.64353i | −0.404335 | − | 0.337384i | ||||
\(818\) | −17.2492 | −0.603106 | ||||||||
\(819\) | 3.75863 | + | 1.81006i | 0.131337 | + | 0.0632487i | ||||
\(820\) | −9.39224 | − | 6.40352i | −0.327991 | − | 0.223621i | ||||
\(821\) | 24.0501 | + | 30.1578i | 0.839353 | + | 1.05252i | 0.997875 | + | 0.0651597i | \(0.0207557\pi\) |
−0.158522 | + | 0.987355i | \(0.550673\pi\) | |||||||
\(822\) | −3.99422 | + | 3.70610i | −0.139314 | + | 0.129265i | ||||
\(823\) | −8.87185 | − | 15.3665i | −0.309253 | − | 0.535642i | 0.668946 | − | 0.743311i | \(-0.266746\pi\) |
−0.978199 | + | 0.207669i | \(0.933412\pi\) | |||||||
\(824\) | 6.58421 | − | 11.4042i | 0.229372 | − | 0.397284i | ||||
\(825\) | 0.849884 | + | 3.72359i | 0.0295892 | + | 0.129639i | ||||
\(826\) | 2.19797 | + | 5.60033i | 0.0764770 | + | 0.194860i | ||||
\(827\) | 52.7551 | − | 16.2728i | 1.83448 | − | 0.565861i | 0.834588 | − | 0.550875i | \(-0.185706\pi\) |
0.999888 | − | 0.0149854i | \(-0.00477017\pi\) | |||||||
\(828\) | −3.56976 | + | 4.47633i | −0.124058 | + | 0.155563i | ||||
\(829\) | 0.394285 | + | 5.26137i | 0.0136941 | + | 0.182735i | 0.999856 | + | 0.0169517i | \(0.00539615\pi\) |
−0.986162 | + | 0.165783i | \(0.946985\pi\) | |||||||
\(830\) | −10.2922 | − | 3.17473i | −0.357248 | − | 0.110196i | ||||
\(831\) | −7.74701 | + | 5.28182i | −0.268741 | + | 0.183224i | ||||
\(832\) | −0.793436 | + | 0.119591i | −0.0275074 | + | 0.00414608i | ||||
\(833\) | 2.90399 | − | 12.7232i | 0.100617 | − | 0.440833i | ||||
\(834\) | 2.88636 | + | 2.67815i | 0.0999466 | + | 0.0927369i | ||||
\(835\) | −1.06142 | + | 14.1636i | −0.0367318 | + | 0.490152i | ||||
\(836\) | 5.37330 | − | 13.6910i | 0.185840 | − | 0.473512i | ||||
\(837\) | 14.1634 | + | 2.13479i | 0.489559 | + | 0.0737891i | ||||
\(838\) | 25.5711 | − | 12.3144i | 0.883340 | − | 0.425394i | ||||
\(839\) | 47.7185 | − | 22.9800i | 1.64742 | − | 0.793358i | 0.647926 | − | 0.761704i | \(-0.275637\pi\) |
0.999499 | − | 0.0316544i | \(-0.0100776\pi\) | |||||||
\(840\) | −1.15875 | − | 0.174653i | −0.0399806 | − | 0.00602611i | ||||
\(841\) | 8.62415 | − | 21.9740i | 0.297385 | − | 0.757724i | ||||
\(842\) | 0.339912 | − | 4.53582i | 0.0117142 | − | 0.156315i | ||||
\(843\) | 12.3140 | + | 11.4257i | 0.424116 | + | 0.393522i | ||||
\(844\) | −2.84156 | + | 12.4497i | −0.0978106 | + | 0.428536i | ||||
\(845\) | 12.2181 | − | 1.84159i | 0.420317 | − | 0.0633526i | ||||
\(846\) | −7.96954 | + | 5.43354i | −0.273998 | + | 0.186809i | ||||
\(847\) | 56.4583 | + | 17.4151i | 1.93993 | + | 0.598389i | ||||
\(848\) | −0.779245 | − | 10.3983i | −0.0267594 | − | 0.357079i | ||||
\(849\) | 7.46034 | − | 9.35497i | 0.256038 | − | 0.321062i | ||||
\(850\) | 3.97748 | − | 1.22689i | 0.136426 | − | 0.0420820i | ||||
\(851\) | 6.67039 | + | 16.9959i | 0.228658 | + | 0.582611i | ||||
\(852\) | 0.376129 | + | 1.64793i | 0.0128860 | + | 0.0564572i | ||||
\(853\) | 23.6058 | − | 40.8864i | 0.808246 | − | 1.39992i | −0.105831 | − | 0.994384i | \(-0.533750\pi\) |
0.914078 | − | 0.405539i | \(-0.132916\pi\) | |||||||
\(854\) | 5.60626 | + | 9.71033i | 0.191842 | + | 0.332281i | ||||
\(855\) | −4.45012 | + | 4.12911i | −0.152191 | + | 0.141212i | ||||
\(856\) | −4.35334 | − | 5.45891i | −0.148794 | − | 0.186582i | ||||
\(857\) | −22.2738 | − | 15.1860i | −0.760859 | − | 0.518745i | 0.119626 | − | 0.992819i | \(-0.461831\pi\) |
−0.880485 | + | 0.474074i | \(0.842783\pi\) | |||||||
\(858\) | 2.76114 | + | 1.32969i | 0.0942638 | + | 0.0453950i | ||||
\(859\) | 30.3081 | 1.03410 | 0.517049 | − | 0.855956i | \(-0.327031\pi\) | ||||
0.517049 | + | 0.855956i | \(0.327031\pi\) | |||||||
\(860\) | 2.97549 | − | 5.84350i | 0.101463 | − | 0.199262i | ||||
\(861\) | −13.3208 | −0.453972 | ||||||||
\(862\) | −13.9699 | − | 6.72757i | −0.475818 | − | 0.229142i | ||||
\(863\) | −8.98201 | − | 6.12383i | −0.305751 | − | 0.208458i | 0.400718 | − | 0.916201i | \(-0.368761\pi\) |
−0.706469 | + | 0.707744i | \(0.749713\pi\) | |||||||
\(864\) | −2.09787 | − | 2.63064i | −0.0713709 | − | 0.0894963i | ||||
\(865\) | 1.40156 | − | 1.30046i | 0.0476546 | − | 0.0442170i | ||||
\(866\) | 16.2600 | + | 28.1631i | 0.552536 | + | 0.957021i | ||||
\(867\) | −0.0970396 | + | 0.168077i | −0.00329564 | + | 0.00570821i | ||||
\(868\) | −1.86219 | − | 8.15880i | −0.0632069 | − | 0.276928i | ||||
\(869\) | 29.1418 | + | 74.2522i | 0.988569 | + | 2.51883i | ||||
\(870\) | −4.13133 | + | 1.27435i | −0.140065 | + | 0.0432044i | ||||
\(871\) | 4.44856 | − | 5.57832i | 0.150734 | − | 0.189014i | ||||
\(872\) | −1.08345 | − | 14.4577i | −0.0366903 | − | 0.489599i | ||||
\(873\) | −5.03904 | − | 1.55434i | −0.170546 | − | 0.0526064i | ||||
\(874\) | −4.10587 | + | 2.79933i | −0.138883 | + | 0.0946889i | ||||
\(875\) | −1.94392 | + | 0.292999i | −0.0657166 | + | 0.00990519i | ||||
\(876\) | −1.47910 | + | 6.48034i | −0.0499740 | + | 0.218951i | ||||
\(877\) | −20.5231 | − | 19.0427i | −0.693016 | − | 0.643025i | 0.252879 | − | 0.967498i | \(-0.418623\pi\) |
−0.945895 | + | 0.324473i | \(0.894813\pi\) | |||||||
\(878\) | −1.79303 | + | 23.9263i | −0.0605119 | + | 0.807475i | ||||
\(879\) | −2.91391 | + | 7.42453i | −0.0982839 | + | 0.250423i | ||||
\(880\) | 6.33580 | + | 0.954968i | 0.213580 | + | 0.0321920i | ||||
\(881\) | 19.5434 | − | 9.41158i | 0.658432 | − | 0.317084i | −0.0746643 | − | 0.997209i | \(-0.523789\pi\) |
0.733097 | + | 0.680124i | \(0.238074\pi\) | |||||||
\(882\) | −7.47073 | + | 3.59772i | −0.251553 | + | 0.121141i | ||||
\(883\) | 33.2837 | + | 5.01672i | 1.12009 | + | 0.168826i | 0.682877 | − | 0.730533i | \(-0.260729\pi\) |
0.437210 | + | 0.899359i | \(0.355967\pi\) | |||||||
\(884\) | 1.22020 | − | 3.10903i | 0.0410399 | − | 0.104568i | ||||
\(885\) | 0.136323 | − | 1.81911i | 0.00458246 | − | 0.0611487i | ||||
\(886\) | −12.5552 | − | 11.6495i | −0.421799 | − | 0.391372i | ||||
\(887\) | 2.16095 | − | 9.46772i | 0.0725574 | − | 0.317895i | −0.925605 | − | 0.378491i | \(-0.876443\pi\) |
0.998162 | + | 0.0605962i | \(0.0193002\pi\) | |||||||
\(888\) | −4.97105 | + | 0.749266i | −0.166818 | + | 0.0251437i | ||||
\(889\) | −22.3184 | + | 15.2164i | −0.748534 | + | 0.510342i | ||||
\(890\) | −5.40096 | − | 1.66597i | −0.181040 | − | 0.0558436i | ||||
\(891\) | −2.83864 | − | 37.8790i | −0.0950981 | − | 1.26900i | ||||
\(892\) | −16.7644 | + | 21.0219i | −0.561313 | + | 0.703864i | ||||
\(893\) | −7.99985 | + | 2.46763i | −0.267705 | + | 0.0825760i | ||||
\(894\) | −0.656310 | − | 1.67225i | −0.0219503 | − | 0.0559284i | ||||
\(895\) | −2.63721 | − | 11.5544i | −0.0881523 | − | 0.386220i | ||||
\(896\) | −0.982941 | + | 1.70250i | −0.0328377 | + | 0.0568767i | ||||
\(897\) | −0.517732 | − | 0.896739i | −0.0172866 | − | 0.0299412i | ||||
\(898\) | 2.52408 | − | 2.34200i | 0.0842296 | − | 0.0781537i | ||||
\(899\) | −19.2505 | − | 24.1394i | −0.642041 | − | 0.805094i | ||||
\(900\) | −2.18514 | − | 1.48980i | −0.0728379 | − | 0.0496601i | ||||
\(901\) | 39.1050 | + | 18.8320i | 1.30278 | + | 0.627384i | ||||
\(902\) | 72.8355 | 2.42516 | ||||||||
\(903\) | −0.976481 | − | 7.62195i | −0.0324953 | − | 0.253643i | ||||
\(904\) | −10.8458 | −0.360726 | ||||||||
\(905\) | −12.0236 | − | 5.79024i | −0.399677 | − | 0.192474i | ||||
\(906\) | 6.21429 | + | 4.23683i | 0.206456 | + | 0.140759i | ||||
\(907\) | 9.27256 | + | 11.6274i | 0.307890 | + | 0.386082i | 0.911570 | − | 0.411145i | \(-0.134871\pi\) |
−0.603680 | + | 0.797227i | \(0.706299\pi\) | |||||||
\(908\) | 0.645399 | − | 0.598842i | 0.0214183 | − | 0.0198733i | ||||
\(909\) | 5.77127 | + | 9.99614i | 0.191421 | + | 0.331551i | ||||
\(910\) | −0.788710 | + | 1.36609i | −0.0261455 | + | 0.0452853i | ||||
\(911\) | −7.25845 | − | 31.8013i | −0.240483 | − | 1.05363i | −0.940579 | − | 0.339576i | \(-0.889716\pi\) |
0.700095 | − | 0.714049i | \(-0.253141\pi\) | |||||||
\(912\) | −0.499887 | − | 1.27369i | −0.0165529 | − | 0.0421761i | ||||
\(913\) | 65.9460 | − | 20.3416i | 2.18249 | − | 0.673210i | ||||
\(914\) | 19.7859 | − | 24.8107i | 0.654459 | − | 0.820665i | ||||
\(915\) | −0.254069 | − | 3.39031i | −0.00839925 | − | 0.112080i | ||||
\(916\) | −9.76457 | − | 3.01197i | −0.322631 | − | 0.0995183i | ||||
\(917\) | −0.518557 | + | 0.353546i | −0.0171243 | + | 0.0116751i | ||||
\(918\) | 13.8489 | − | 2.08738i | 0.457081 | − | 0.0688939i | ||||
\(919\) | −9.58748 | + | 42.0055i | −0.316262 | + | 1.38563i | 0.527792 | + | 0.849374i | \(0.323020\pi\) |
−0.844053 | + | 0.536259i | \(0.819837\pi\) | |||||||
\(920\) | −1.58698 | − | 1.47250i | −0.0523211 | − | 0.0485469i | ||||
\(921\) | −0.348977 | + | 4.65677i | −0.0114992 | + | 0.153446i | ||||
\(922\) | 2.53702 | − | 6.46423i | 0.0835524 | − | 0.212888i | ||||
\(923\) | 2.24993 | + | 0.339122i | 0.0740573 | + | 0.0111623i | ||||
\(924\) | 6.76482 | − | 3.25776i | 0.222546 | − | 0.107173i | ||||
\(925\) | −7.59848 | + | 3.65923i | −0.249836 | + | 0.120315i | ||||
\(926\) | 8.35857 | + | 1.25985i | 0.274680 | + | 0.0414013i | ||||
\(927\) | 12.7235 | − | 32.4189i | 0.417893 | − | 1.06477i | ||||
\(928\) | −0.542016 | + | 7.23270i | −0.0177926 | + | 0.237425i | ||||
\(929\) | 0.435851 | + | 0.404410i | 0.0142998 | + | 0.0132683i | 0.687290 | − | 0.726383i | \(-0.258800\pi\) |
−0.672990 | + | 0.739651i | \(0.734991\pi\) | |||||||
\(930\) | −0.564647 | + | 2.47388i | −0.0185155 | + | 0.0811217i | ||||
\(931\) | −7.11649 | + | 1.07264i | −0.233234 | + | 0.0351543i | ||||
\(932\) | −4.49243 | + | 3.06289i | −0.147154 | + | 0.100328i | ||||
\(933\) | 8.10710 | + | 2.50071i | 0.265415 | + | 0.0818696i | ||||
\(934\) | 0.105268 | + | 1.40471i | 0.00344448 | + | 0.0459634i | ||||
\(935\) | −16.6285 | + | 20.8515i | −0.543810 | + | 0.681916i | ||||
\(936\) | −2.02781 | + | 0.625496i | −0.0662810 | + | 0.0204450i | ||||
\(937\) | −12.2274 | − | 31.1549i | −0.399452 | − | 1.01779i | −0.979183 | − | 0.202979i | \(-0.934938\pi\) |
0.579732 | − | 0.814808i | \(-0.303157\pi\) | |||||||
\(938\) | −3.88981 | − | 17.0424i | −0.127007 | − | 0.556453i | ||||
\(939\) | 6.05702 | − | 10.4911i | 0.197663 | − | 0.342363i | ||||
\(940\) | −1.82358 | − | 3.15853i | −0.0594786 | − | 0.103020i | ||||
\(941\) | 7.27375 | − | 6.74905i | 0.237117 | − | 0.220013i | −0.552659 | − | 0.833407i | \(-0.686387\pi\) |
0.789777 | + | 0.613395i | \(0.210196\pi\) | |||||||
\(942\) | 3.91065 | + | 4.90380i | 0.127416 | + | 0.159775i | ||||
\(943\) | −20.3332 | − | 13.8629i | −0.662139 | − | 0.451439i | ||||
\(944\) | −2.75724 | − | 1.32782i | −0.0897406 | − | 0.0432168i | ||||
\(945\) | −6.61464 | −0.215174 | ||||||||
\(946\) | 5.33920 | + | 41.6753i | 0.173592 | + | 1.35498i | ||||
\(947\) | −41.1431 | −1.33697 | −0.668486 | − | 0.743725i | \(-0.733057\pi\) | ||||
−0.668486 | + | 0.743725i | \(0.733057\pi\) | |||||||
\(948\) | 6.68588 | + | 3.21975i | 0.217147 | + | 0.104573i | ||||
\(949\) | 7.39284 | + | 5.04035i | 0.239982 | + | 0.163617i | ||||
\(950\) | −1.43118 | − | 1.79464i | −0.0464335 | − | 0.0582257i | ||||
\(951\) | −10.8600 | + | 10.0766i | −0.352161 | + | 0.326757i | ||||
\(952\) | −4.09139 | − | 7.08650i | −0.132603 | − | 0.229675i | ||||
\(953\) | −8.09804 | + | 14.0262i | −0.262321 | + | 0.454354i | −0.966858 | − | 0.255313i | \(-0.917821\pi\) |
0.704537 | + | 0.709667i | \(0.251155\pi\) | |||||||
\(954\) | −6.13652 | − | 26.8859i | −0.198677 | − | 0.870462i | ||||
\(955\) | −9.92847 | − | 25.2973i | −0.321278 | − | 0.818602i | ||||
\(956\) | −0.0876807 | + | 0.0270459i | −0.00283580 | + | 0.000874728i | ||||
\(957\) | 17.2717 | − | 21.6580i | 0.558315 | − | 0.700104i | ||||
\(958\) | 1.89229 | + | 25.2508i | 0.0611371 | + | 0.815817i | ||||
\(959\) | 17.1715 | + | 5.29672i | 0.554498 | + | 0.171040i | ||||
\(960\) | 0.492510 | − | 0.335788i | 0.0158957 | − | 0.0108375i | ||||
\(961\) | 12.7347 | − | 1.91945i | 0.410797 | − | 0.0619177i | ||||
\(962\) | −1.50584 | + | 6.59749i | −0.0485501 | + | 0.212712i | ||||
\(963\) | −13.5363 | − | 12.5599i | −0.436202 | − | 0.404736i | ||||
\(964\) | 2.08304 | − | 27.7962i | 0.0670902 | − | 0.895257i | ||||
\(965\) | 2.62791 | − | 6.69582i | 0.0845955 | − | 0.215546i | ||||
\(966\) | −2.50856 | − | 0.378105i | −0.0807117 | − | 0.0121653i | ||||
\(967\) | −39.3845 | + | 18.9666i | −1.26652 | + | 0.609923i | −0.941891 | − | 0.335919i | \(-0.890953\pi\) |
−0.324628 | + | 0.945842i | \(0.605239\pi\) | |||||||
\(968\) | −27.0780 | + | 13.0401i | −0.870320 | + | 0.419124i | ||||
\(969\) | 5.63170 | + | 0.848842i | 0.180916 | + | 0.0272687i | ||||
\(970\) | 0.728466 | − | 1.85610i | 0.0233896 | − | 0.0595959i | ||||
\(971\) | 2.50571 | − | 33.4364i | 0.0804121 | − | 1.07302i | −0.800371 | − | 0.599505i | \(-0.795364\pi\) |
0.880783 | − | 0.473520i | \(-0.157017\pi\) | |||||||
\(972\) | −9.99002 | − | 9.26939i | −0.320430 | − | 0.297316i | ||||
\(973\) | 2.88958 | − | 12.6601i | 0.0926358 | − | 0.405864i | ||||
\(974\) | 6.40610 | − | 0.965564i | 0.205265 | − | 0.0309387i | ||||
\(975\) | 0.395189 | − | 0.269435i | 0.0126562 | − | 0.00862884i | ||||
\(976\) | −5.45017 | − | 1.68115i | −0.174456 | − | 0.0538124i | ||||
\(977\) | 0.463664 | + | 6.18717i | 0.0148339 | + | 0.197945i | 0.999697 | + | 0.0246114i | \(0.00783485\pi\) |
−0.984863 | + | 0.173334i | \(0.944546\pi\) | |||||||
\(978\) | 2.42878 | − | 3.04559i | 0.0776637 | − | 0.0973872i | ||||
\(979\) | 34.6059 | − | 10.6745i | 1.10601 | − | 0.341159i | ||||
\(980\) | −1.14546 | − | 2.91858i | −0.0365903 | − | 0.0932305i | ||||
\(981\) | −8.53215 | − | 37.3818i | −0.272411 | − | 1.19351i | ||||
\(982\) | −2.66042 | + | 4.60797i | −0.0848973 | + | 0.147046i | ||||
\(983\) | 0.941104 | + | 1.63004i | 0.0300165 | + | 0.0519902i | 0.880643 | − | 0.473780i | \(-0.157111\pi\) |
−0.850627 | + | 0.525770i | \(0.823777\pi\) | |||||||
\(984\) | 4.96716 | − | 4.60885i | 0.158347 | − | 0.146925i | ||||
\(985\) | −12.5359 | − | 15.7196i | −0.399428 | − | 0.500867i | ||||
\(986\) | −24.9440 | − | 17.0065i | −0.794379 | − | 0.541598i | ||||
\(987\) | −3.85062 | − | 1.85436i | −0.122567 | − | 0.0590250i | ||||
\(988\) | −1.84185 | −0.0585969 | ||||||||
\(989\) | 6.44161 | − | 12.6505i | 0.204831 | − | 0.402263i | ||||
\(990\) | 16.9454 | 0.538561 | ||||||||
\(991\) | −14.6671 | − | 7.06330i | −0.465916 | − | 0.224373i | 0.186171 | − | 0.982517i | \(-0.440392\pi\) |
−0.652087 | + | 0.758144i | \(0.726106\pi\) | |||||||
\(992\) | 3.51724 | + | 2.39801i | 0.111672 | + | 0.0761370i | ||||
\(993\) | −5.48089 | − | 6.87282i | −0.173931 | − | 0.218102i | ||||
\(994\) | 4.08648 | − | 3.79170i | 0.129615 | − | 0.120265i | ||||
\(995\) | −7.91354 | − | 13.7067i | −0.250876 | − | 0.434530i | ||||
\(996\) | 3.21015 | − | 5.56014i | 0.101717 | − | 0.176180i | ||||
\(997\) | 4.86877 | + | 21.3315i | 0.154195 | + | 0.675574i | 0.991638 | + | 0.129049i | \(0.0411925\pi\) |
−0.837443 | + | 0.546525i | \(0.815950\pi\) | |||||||
\(998\) | −0.528197 | − | 1.34582i | −0.0167198 | − | 0.0426013i | ||||
\(999\) | −27.1162 | + | 8.36425i | −0.857920 | + | 0.264633i |
(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 | 430.2.q.a.111.3 | yes | 36 | |
43.31 | even | 21 | inner | 430.2.q.a.31.3 | ✓ | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
430.2.q.a.31.3 | ✓ | 36 | 43.31 | even | 21 | inner | |
430.2.q.a.111.3 | yes | 36 | 1.1 | even | 1 | trivial |