Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,2,Mod(3,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.k (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.606863055362\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 67.8 | ||
Character | \(\chi\) | \(=\) | 76.67 |
Dual form | 76.2.k.a.59.8 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{17}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.33760 | + | 0.459147i | 0.945829 | + | 0.324666i | ||||
\(3\) | 0.220673 | − | 0.185167i | 0.127406 | − | 0.106906i | −0.576858 | − | 0.816844i | \(-0.695722\pi\) |
0.704264 | + | 0.709938i | \(0.251277\pi\) | |||||||
\(4\) | 1.57837 | + | 1.22831i | 0.789184 | + | 0.614157i | ||||
\(5\) | −2.14071 | − | 0.779153i | −0.957352 | − | 0.348448i | −0.184357 | − | 0.982859i | \(-0.559020\pi\) |
−0.772995 | + | 0.634412i | \(0.781242\pi\) | |||||||
\(6\) | 0.380192 | − | 0.146358i | 0.155213 | − | 0.0597505i | ||||
\(7\) | −3.55057 | − | 2.04992i | −1.34199 | − | 0.774799i | −0.354891 | − | 0.934908i | \(-0.615482\pi\) |
−0.987099 | + | 0.160109i | \(0.948815\pi\) | |||||||
\(8\) | 1.54725 | + | 2.36770i | 0.547037 | + | 0.837108i | ||||
\(9\) | −0.506535 | + | 2.87270i | −0.168845 | + | 0.957567i | ||||
\(10\) | −2.50567 | − | 2.02510i | −0.792362 | − | 0.640392i | ||||
\(11\) | 3.61965 | − | 2.08981i | 1.09137 | − | 0.630101i | 0.157426 | − | 0.987531i | \(-0.449680\pi\) |
0.933940 | + | 0.357430i | \(0.116347\pi\) | |||||||
\(12\) | 0.575746 | − | 0.0212054i | 0.166204 | − | 0.00612147i | ||||
\(13\) | −0.374492 | + | 0.446302i | −0.103865 | + | 0.123782i | −0.815473 | − | 0.578795i | \(-0.803523\pi\) |
0.711608 | + | 0.702577i | \(0.247967\pi\) | |||||||
\(14\) | −3.80804 | − | 4.37222i | −1.01774 | − | 1.16853i | ||||
\(15\) | −0.616669 | + | 0.224449i | −0.159223 | + | 0.0579525i | ||||
\(16\) | 0.982490 | + | 3.87746i | 0.245623 | + | 0.969366i | ||||
\(17\) | −0.573106 | − | 3.25025i | −0.138999 | − | 0.788301i | −0.971991 | − | 0.235017i | \(-0.924486\pi\) |
0.832993 | − | 0.553284i | \(-0.186626\pi\) | |||||||
\(18\) | −1.99653 | + | 3.60996i | −0.470588 | + | 0.850876i | ||||
\(19\) | −0.458280 | + | 4.33474i | −0.105137 | + | 0.994458i | ||||
\(20\) | −2.42178 | − | 3.85925i | −0.541526 | − | 0.862954i | ||||
\(21\) | −1.16309 | + | 0.205085i | −0.253808 | + | 0.0447532i | ||||
\(22\) | 5.80119 | − | 1.13338i | 1.23682 | − | 0.241638i | ||||
\(23\) | −0.862701 | − | 2.37025i | −0.179886 | − | 0.494232i | 0.816675 | − | 0.577098i | \(-0.195815\pi\) |
−0.996561 | + | 0.0828661i | \(0.973593\pi\) | |||||||
\(24\) | 0.779857 | + | 0.235988i | 0.159188 | + | 0.0481708i | ||||
\(25\) | 0.145317 | + | 0.121936i | 0.0290635 | + | 0.0243872i | ||||
\(26\) | −0.705840 | + | 0.425028i | −0.138427 | + | 0.0833549i | ||||
\(27\) | 0.852252 | + | 1.47614i | 0.164016 | + | 0.284084i | ||||
\(28\) | −3.08616 | − | 7.59675i | −0.583230 | − | 1.43565i | ||||
\(29\) | 8.34798 | + | 1.47197i | 1.55018 | + | 0.273339i | 0.882213 | − | 0.470850i | \(-0.156053\pi\) |
0.667969 | + | 0.744189i | \(0.267164\pi\) | |||||||
\(30\) | −0.927914 | + | 0.0170823i | −0.169413 | + | 0.00311878i | ||||
\(31\) | −0.386863 | + | 0.670066i | −0.0694826 | + | 0.120347i | −0.898674 | − | 0.438618i | \(-0.855468\pi\) |
0.829191 | + | 0.558965i | \(0.188801\pi\) | |||||||
\(32\) | −0.466142 | + | 5.63762i | −0.0824031 | + | 0.996599i | ||||
\(33\) | 0.411797 | − | 1.13140i | 0.0716847 | − | 0.196952i | ||||
\(34\) | 0.725752 | − | 4.61068i | 0.124465 | − | 0.790725i | ||||
\(35\) | 6.00353 | + | 7.15472i | 1.01478 | + | 1.20937i | ||||
\(36\) | −4.32808 | + | 3.91200i | −0.721346 | + | 0.651999i | ||||
\(37\) | 1.23521i | 0.203067i | 0.994832 | + | 0.101534i | \(0.0323749\pi\) | ||||
−0.994832 | + | 0.101534i | \(0.967625\pi\) | |||||||
\(38\) | −2.60328 | + | 5.58775i | −0.422308 | + | 0.906452i | ||||
\(39\) | 0.167830i | 0.0268743i | ||||||||
\(40\) | −1.46741 | − | 6.27410i | −0.232019 | − | 0.992022i | ||||
\(41\) | −4.51238 | − | 5.37764i | −0.704715 | − | 0.839847i | 0.288336 | − | 0.957529i | \(-0.406898\pi\) |
−0.993051 | + | 0.117683i | \(0.962453\pi\) | |||||||
\(42\) | −1.64992 | − | 0.259709i | −0.254589 | − | 0.0400739i | ||||
\(43\) | −1.55737 | + | 4.27884i | −0.237497 | + | 0.652517i | 0.762488 | + | 0.647002i | \(0.223978\pi\) |
−0.999985 | + | 0.00551486i | \(0.998245\pi\) | |||||||
\(44\) | 8.28008 | + | 1.14758i | 1.24827 | + | 0.173005i | ||||
\(45\) | 3.32261 | − | 5.75494i | 0.495306 | − | 0.857895i | ||||
\(46\) | −0.0656581 | − | 3.56656i | −0.00968075 | − | 0.525861i | ||||
\(47\) | 4.84679 | + | 0.854620i | 0.706977 | + | 0.124659i | 0.515565 | − | 0.856851i | \(-0.327582\pi\) |
0.191412 | + | 0.981510i | \(0.438693\pi\) | |||||||
\(48\) | 0.934786 | + | 0.673727i | 0.134925 | + | 0.0972441i | ||||
\(49\) | 4.90438 | + | 8.49464i | 0.700626 | + | 1.21352i | ||||
\(50\) | 0.138391 | + | 0.229824i | 0.0195714 | + | 0.0325020i | ||||
\(51\) | −0.728306 | − | 0.611122i | −0.101983 | − | 0.0855742i | ||||
\(52\) | −1.13928 | + | 0.244435i | −0.157990 | + | 0.0338971i | ||||
\(53\) | −0.232598 | − | 0.639058i | −0.0319498 | − | 0.0877814i | 0.922692 | − | 0.385538i | \(-0.125984\pi\) |
−0.954642 | + | 0.297756i | \(0.903762\pi\) | |||||||
\(54\) | 0.462209 | + | 2.36581i | 0.0628986 | + | 0.321945i | ||||
\(55\) | −9.37689 | + | 1.65340i | −1.26438 | + | 0.222944i | ||||
\(56\) | −0.640033 | − | 11.5784i | −0.0855280 | − | 1.54724i | ||||
\(57\) | 0.701520 | + | 1.04142i | 0.0929185 | + | 0.137939i | ||||
\(58\) | 10.4904 | + | 5.80187i | 1.37746 | + | 0.761823i | ||||
\(59\) | −0.368113 | − | 2.08767i | −0.0479243 | − | 0.271792i | 0.951424 | − | 0.307883i | \(-0.0996205\pi\) |
−0.999349 | + | 0.0360909i | \(0.988509\pi\) | |||||||
\(60\) | −1.24902 | − | 0.403200i | −0.161248 | − | 0.0520529i | ||||
\(61\) | −2.91217 | + | 1.05994i | −0.372866 | + | 0.135712i | −0.521654 | − | 0.853157i | \(-0.674685\pi\) |
0.148789 | + | 0.988869i | \(0.452463\pi\) | |||||||
\(62\) | −0.825128 | + | 0.718656i | −0.104791 | + | 0.0912693i | ||||
\(63\) | 7.68731 | − | 9.16138i | 0.968510 | − | 1.15423i | ||||
\(64\) | −3.21201 | + | 7.32687i | −0.401501 | + | 0.915859i | ||||
\(65\) | 1.14941 | − | 0.663614i | 0.142567 | − | 0.0823112i | ||||
\(66\) | 1.07030 | − | 1.32429i | 0.131745 | − | 0.163009i | ||||
\(67\) | 2.44691 | − | 13.8771i | 0.298938 | − | 1.69536i | −0.351813 | − | 0.936070i | \(-0.614435\pi\) |
0.650751 | − | 0.759291i | \(-0.274454\pi\) | |||||||
\(68\) | 3.08775 | − | 5.83404i | 0.374445 | − | 0.707481i | ||||
\(69\) | −0.629267 | − | 0.363307i | −0.0757548 | − | 0.0437370i | ||||
\(70\) | 4.74527 | + | 12.3267i | 0.567168 | + | 1.47332i | ||||
\(71\) | −12.4034 | − | 4.51448i | −1.47202 | − | 0.535771i | −0.523370 | − | 0.852105i | \(-0.675326\pi\) |
−0.948648 | + | 0.316335i | \(0.897548\pi\) | |||||||
\(72\) | −7.58543 | + | 3.24548i | −0.893952 | + | 0.382483i | ||||
\(73\) | −8.59023 | + | 7.20806i | −1.00541 | + | 0.843639i | −0.987725 | − | 0.156205i | \(-0.950074\pi\) |
−0.0176852 | + | 0.999844i | \(0.505630\pi\) | |||||||
\(74\) | −0.567143 | + | 1.65222i | −0.0659290 | + | 0.192067i | ||||
\(75\) | 0.0546461 | 0.00630999 | ||||||||
\(76\) | −6.04776 | + | 6.27890i | −0.693725 | + | 0.720240i | ||||
\(77\) | −17.1358 | −1.95280 | ||||||||
\(78\) | −0.0770587 | + | 0.224490i | −0.00872518 | + | 0.0254185i | ||||
\(79\) | −7.91111 | + | 6.63821i | −0.890069 | + | 0.746857i | −0.968224 | − | 0.250085i | \(-0.919542\pi\) |
0.0781550 | + | 0.996941i | \(0.475097\pi\) | |||||||
\(80\) | 0.917914 | − | 9.06601i | 0.102626 | − | 1.01361i | ||||
\(81\) | −7.76190 | − | 2.82510i | −0.862433 | − | 0.313900i | ||||
\(82\) | −3.56664 | − | 9.26500i | −0.393870 | − | 1.02315i | ||||
\(83\) | 1.29416 | + | 0.747183i | 0.142052 | + | 0.0820140i | 0.569342 | − | 0.822101i | \(-0.307198\pi\) |
−0.427289 | + | 0.904115i | \(0.640531\pi\) | |||||||
\(84\) | −2.08770 | − | 1.10494i | −0.227787 | − | 0.120559i | ||||
\(85\) | −1.30559 | + | 7.40436i | −0.141611 | + | 0.803115i | ||||
\(86\) | −4.04776 | + | 5.00833i | −0.436482 | + | 0.540062i | ||||
\(87\) | 2.11474 | − | 1.22094i | 0.226723 | − | 0.130899i | ||||
\(88\) | 10.5486 | + | 5.33679i | 1.12448 | + | 0.568904i | ||||
\(89\) | 9.52313 | − | 11.3492i | 1.00945 | − | 1.20302i | 0.0303703 | − | 0.999539i | \(-0.490331\pi\) |
0.979080 | − | 0.203477i | \(-0.0652242\pi\) | |||||||
\(90\) | 7.08670 | − | 6.17226i | 0.747004 | − | 0.650613i | ||||
\(91\) | 2.24455 | − | 0.816948i | 0.235292 | − | 0.0856394i | ||||
\(92\) | 1.54975 | − | 4.80080i | 0.161573 | − | 0.500518i | ||||
\(93\) | 0.0387037 | + | 0.219500i | 0.00401339 | + | 0.0227610i | ||||
\(94\) | 6.09069 | + | 3.36853i | 0.628206 | + | 0.347438i | ||||
\(95\) | 4.35847 | − | 8.92233i | 0.447169 | − | 0.915412i | ||||
\(96\) | 0.941034 | + | 1.33038i | 0.0960438 | + | 0.135782i | ||||
\(97\) | 10.1050 | − | 1.78178i | 1.02601 | − | 0.180913i | 0.364776 | − | 0.931095i | \(-0.381146\pi\) |
0.661230 | + | 0.750183i | \(0.270035\pi\) | |||||||
\(98\) | 2.65983 | + | 13.6143i | 0.268684 | + | 1.37525i | ||||
\(99\) | 4.16991 | + | 11.4567i | 0.419092 | + | 1.15145i | ||||
\(100\) | 0.0795889 | + | 0.370955i | 0.00795889 | + | 0.0370955i | ||||
\(101\) | 6.70325 | + | 5.62470i | 0.666999 | + | 0.559678i | 0.912175 | − | 0.409800i | \(-0.134402\pi\) |
−0.245177 | + | 0.969478i | \(0.578846\pi\) | |||||||
\(102\) | −0.693591 | − | 1.15184i | −0.0686757 | − | 0.114049i | ||||
\(103\) | −4.40079 | − | 7.62240i | −0.433623 | − | 0.751057i | 0.563559 | − | 0.826076i | \(-0.309432\pi\) |
−0.997182 | + | 0.0750187i | \(0.976098\pi\) | |||||||
\(104\) | −1.63614 | − | 0.196142i | −0.160437 | − | 0.0192333i | ||||
\(105\) | 2.64963 | + | 0.467202i | 0.258578 | + | 0.0455942i | ||||
\(106\) | −0.0177025 | − | 0.961604i | −0.00171942 | − | 0.0933992i | ||||
\(107\) | −0.252753 | + | 0.437781i | −0.0244346 | + | 0.0423219i | −0.877984 | − | 0.478690i | \(-0.841112\pi\) |
0.853550 | + | 0.521012i | \(0.174445\pi\) | |||||||
\(108\) | −0.468001 | + | 3.37673i | −0.0450334 | + | 0.324926i | ||||
\(109\) | 2.13914 | − | 5.87723i | 0.204892 | − | 0.562937i | −0.794102 | − | 0.607785i | \(-0.792058\pi\) |
0.998994 | + | 0.0448483i | \(0.0142805\pi\) | |||||||
\(110\) | −13.3017 | − | 2.09378i | −1.26827 | − | 0.199634i | ||||
\(111\) | 0.228720 | + | 0.272577i | 0.0217091 | + | 0.0258719i | ||||
\(112\) | 4.46010 | − | 15.7812i | 0.421440 | − | 1.49119i | ||||
\(113\) | 7.26696i | 0.683618i | 0.939769 | + | 0.341809i | \(0.111040\pi\) | ||||
−0.939769 | + | 0.341809i | \(0.888960\pi\) | |||||||
\(114\) | 0.460191 | + | 1.71511i | 0.0431008 | + | 0.160634i | ||||
\(115\) | 5.74619i | 0.535835i | ||||||||
\(116\) | 11.3681 | + | 12.5773i | 1.05551 | + | 1.16777i | ||||
\(117\) | −1.09240 | − | 1.30187i | −0.100992 | − | 0.120358i | ||||
\(118\) | 0.466160 | − | 2.96150i | 0.0429135 | − | 0.272628i | ||||
\(119\) | −4.62790 | + | 12.7151i | −0.424239 | + | 1.16559i | ||||
\(120\) | −1.48557 | − | 1.11281i | −0.135614 | − | 0.101585i | ||||
\(121\) | 3.23459 | − | 5.60247i | 0.294054 | − | 0.509316i | ||||
\(122\) | −4.38201 | + | 0.0806698i | −0.396728 | + | 0.00730350i | ||||
\(123\) | −1.99152 | − | 0.351159i | −0.179569 | − | 0.0316629i | ||||
\(124\) | −1.43366 | + | 0.582421i | −0.128747 | + | 0.0523030i | ||||
\(125\) | 5.47915 | + | 9.49017i | 0.490070 | + | 0.848827i | ||||
\(126\) | 14.4890 | − | 8.72469i | 1.29078 | − | 0.777257i | ||||
\(127\) | 6.88695 | + | 5.77884i | 0.611118 | + | 0.512789i | 0.894998 | − | 0.446071i | \(-0.147177\pi\) |
−0.283879 | + | 0.958860i | \(0.591622\pi\) | |||||||
\(128\) | −7.66051 | + | 8.32566i | −0.677099 | + | 0.735892i | ||||
\(129\) | 0.448629 | + | 1.23260i | 0.0394996 | + | 0.108524i | ||||
\(130\) | 1.84216 | − | 0.359903i | 0.161568 | − | 0.0315656i | ||||
\(131\) | 13.5834 | − | 2.39512i | 1.18679 | − | 0.209262i | 0.454807 | − | 0.890590i | \(-0.349708\pi\) |
0.731979 | + | 0.681328i | \(0.238597\pi\) | |||||||
\(132\) | 2.03969 | − | 1.27995i | 0.177532 | − | 0.111406i | ||||
\(133\) | 10.5130 | − | 14.4514i | 0.911597 | − | 1.25309i | ||||
\(134\) | 9.64465 | − | 17.4386i | 0.833171 | − | 1.50647i | ||||
\(135\) | −0.674279 | − | 3.82402i | −0.0580327 | − | 0.329120i | ||||
\(136\) | 6.80887 | − | 6.38590i | 0.583856 | − | 0.547587i | ||||
\(137\) | −7.03294 | + | 2.55978i | −0.600865 | + | 0.218697i | −0.624501 | − | 0.781024i | \(-0.714698\pi\) |
0.0236365 | + | 0.999721i | \(0.492476\pi\) | |||||||
\(138\) | −0.674898 | − | 0.774887i | −0.0574511 | − | 0.0659628i | ||||
\(139\) | −12.3852 | + | 14.7601i | −1.05050 | + | 1.25194i | −0.0836787 | + | 0.996493i | \(0.526667\pi\) |
−0.966823 | + | 0.255447i | \(0.917777\pi\) | |||||||
\(140\) | 0.687527 | + | 18.6670i | 0.0581066 | + | 1.57765i | ||||
\(141\) | 1.22780 | − | 0.708872i | 0.103400 | − | 0.0596978i | ||||
\(142\) | −14.5181 | − | 11.7336i | −1.21833 | − | 0.984662i | ||||
\(143\) | −0.422845 | + | 2.39807i | −0.0353601 | + | 0.200537i | ||||
\(144\) | −11.6365 | + | 0.858332i | −0.969704 | + | 0.0715277i | ||||
\(145\) | −16.7237 | − | 9.65542i | −1.38883 | − | 0.801839i | ||||
\(146\) | −14.7999 | + | 5.69735i | −1.22485 | + | 0.471516i | ||||
\(147\) | 2.65519 | + | 0.966410i | 0.218996 | + | 0.0797081i | ||||
\(148\) | −1.51722 | + | 1.94961i | −0.124715 | + | 0.160257i | ||||
\(149\) | 1.56368 | − | 1.31208i | 0.128101 | − | 0.107490i | −0.576486 | − | 0.817107i | \(-0.695576\pi\) |
0.704588 | + | 0.709617i | \(0.251132\pi\) | |||||||
\(150\) | 0.0730948 | + | 0.0250906i | 0.00596817 | + | 0.00204864i | ||||
\(151\) | 9.61868 | 0.782757 | 0.391378 | − | 0.920230i | \(-0.371998\pi\) | ||||
0.391378 | + | 0.920230i | \(0.371998\pi\) | |||||||
\(152\) | −10.9724 | + | 5.62188i | −0.889983 | + | 0.455994i | ||||
\(153\) | 9.62728 | 0.778320 | ||||||||
\(154\) | −22.9209 | − | 7.86785i | −1.84702 | − | 0.634009i | ||||
\(155\) | 1.35024 | − | 1.13299i | 0.108454 | − | 0.0910038i | ||||
\(156\) | −0.206148 | + | 0.264898i | −0.0165051 | + | 0.0212088i | ||||
\(157\) | −7.10221 | − | 2.58499i | −0.566818 | − | 0.206305i | 0.0426851 | − | 0.999089i | \(-0.486409\pi\) |
−0.609503 | + | 0.792784i | \(0.708631\pi\) | |||||||
\(158\) | −13.6298 | + | 5.24693i | −1.08433 | + | 0.417423i | ||||
\(159\) | −0.169660 | − | 0.0979535i | −0.0134549 | − | 0.00776822i | ||||
\(160\) | 5.39044 | − | 11.7053i | 0.426152 | − | 0.925383i | ||||
\(161\) | −1.79575 | + | 10.1842i | −0.141525 | + | 0.802629i | ||||
\(162\) | −9.08520 | − | 7.34271i | −0.713801 | − | 0.576898i | ||||
\(163\) | 14.3484 | − | 8.28406i | 1.12385 | − | 0.648858i | 0.181472 | − | 0.983396i | \(-0.441914\pi\) |
0.942382 | + | 0.334538i | \(0.108580\pi\) | |||||||
\(164\) | −0.516760 | − | 14.0305i | −0.0403522 | − | 1.09560i | ||||
\(165\) | −1.76307 | + | 2.10115i | −0.137255 | + | 0.163574i | ||||
\(166\) | 1.38801 | + | 1.59364i | 0.107730 | + | 0.123691i | ||||
\(167\) | −7.24993 | + | 2.63876i | −0.561016 | + | 0.204193i | −0.606934 | − | 0.794752i | \(-0.707601\pi\) |
0.0459180 | + | 0.998945i | \(0.485379\pi\) | |||||||
\(168\) | −2.28518 | − | 2.43654i | −0.176306 | − | 0.187983i | ||||
\(169\) | 2.19849 | + | 12.4682i | 0.169114 | + | 0.959094i | ||||
\(170\) | −5.14605 | + | 9.30464i | −0.394684 | + | 0.713633i | ||||
\(171\) | −12.2203 | − | 3.51220i | −0.934508 | − | 0.268585i | ||||
\(172\) | −7.71387 | + | 4.84065i | −0.588177 | + | 0.369096i | ||||
\(173\) | −9.18629 | + | 1.61979i | −0.698421 | + | 0.123150i | −0.511575 | − | 0.859239i | \(-0.670938\pi\) |
−0.186846 | + | 0.982389i | \(0.559827\pi\) | |||||||
\(174\) | 3.38927 | − | 0.662164i | 0.256940 | − | 0.0501985i | ||||
\(175\) | −0.266001 | − | 0.730832i | −0.0201078 | − | 0.0552457i | ||||
\(176\) | 11.6594 | + | 11.9818i | 0.878862 | + | 0.903166i | ||||
\(177\) | −0.467801 | − | 0.392531i | −0.0351620 | − | 0.0295045i | ||||
\(178\) | 17.9491 | − | 10.8083i | 1.34535 | − | 0.810113i | ||||
\(179\) | 0.791374 | + | 1.37070i | 0.0591501 | + | 0.102451i | 0.894084 | − | 0.447899i | \(-0.147828\pi\) |
−0.834934 | + | 0.550350i | \(0.814494\pi\) | |||||||
\(180\) | 12.3132 | − | 5.00220i | 0.917770 | − | 0.372842i | ||||
\(181\) | 13.1059 | + | 2.31093i | 0.974156 | + | 0.171770i | 0.638000 | − | 0.770036i | \(-0.279762\pi\) |
0.336156 | + | 0.941806i | \(0.390873\pi\) | |||||||
\(182\) | 3.37741 | − | 0.0621759i | 0.250350 | − | 0.00460878i | ||||
\(183\) | −0.446372 | + | 0.773139i | −0.0329968 | + | 0.0571521i | ||||
\(184\) | 4.27723 | − | 5.71000i | 0.315321 | − | 0.420947i | ||||
\(185\) | 0.962417 | − | 2.64422i | 0.0707583 | − | 0.194407i | ||||
\(186\) | −0.0490124 | + | 0.311374i | −0.00359376 | + | 0.0228311i | ||||
\(187\) | −8.86683 | − | 10.5671i | −0.648407 | − | 0.772742i | ||||
\(188\) | 6.60028 | + | 7.30228i | 0.481375 | + | 0.532574i | ||||
\(189\) | − | 6.98821i | − | 0.508318i | ||||||
\(190\) | 9.92657 | − | 9.93337i | 0.720149 | − | 0.720642i | ||||
\(191\) | 12.6803i | 0.917517i | 0.888561 | + | 0.458759i | \(0.151706\pi\) | ||||
−0.888561 | + | 0.458759i | \(0.848294\pi\) | |||||||
\(192\) | 0.647888 | + | 2.21160i | 0.0467573 | + | 0.159608i | ||||
\(193\) | −14.1194 | − | 16.8269i | −1.01634 | − | 1.21123i | −0.977272 | − | 0.211989i | \(-0.932006\pi\) |
−0.0390670 | − | 0.999237i | \(-0.512439\pi\) | |||||||
\(194\) | 14.3346 | + | 2.25636i | 1.02916 | + | 0.161997i | ||||
\(195\) | 0.130765 | − | 0.359275i | 0.00936430 | − | 0.0257282i | ||||
\(196\) | −2.69316 | + | 19.4318i | −0.192369 | + | 1.38798i | ||||
\(197\) | 2.27195 | − | 3.93514i | 0.161870 | − | 0.280367i | −0.773669 | − | 0.633590i | \(-0.781581\pi\) |
0.935539 | + | 0.353223i | \(0.114914\pi\) | |||||||
\(198\) | 0.317362 | + | 17.2392i | 0.0225539 | + | 1.22514i | ||||
\(199\) | 11.9982 | + | 2.11561i | 0.850530 | + | 0.149971i | 0.581888 | − | 0.813269i | \(-0.302314\pi\) |
0.268642 | + | 0.963240i | \(0.413425\pi\) | |||||||
\(200\) | −0.0638644 | + | 0.532734i | −0.00451590 | + | 0.0376700i | ||||
\(201\) | −2.02962 | − | 3.51540i | −0.143158 | − | 0.247957i | ||||
\(202\) | 6.38373 | + | 10.6014i | 0.449158 | + | 0.745912i | ||||
\(203\) | −26.6227 | − | 22.3391i | −1.86855 | − | 1.56790i | ||||
\(204\) | −0.398886 | − | 1.85916i | −0.0279276 | − | 0.130167i | ||||
\(205\) | 5.46966 | + | 15.0278i | 0.382018 | + | 1.04959i | ||||
\(206\) | −2.38672 | − | 12.2164i | −0.166290 | − | 0.851154i | ||||
\(207\) | 7.24601 | − | 1.27767i | 0.503633 | − | 0.0888040i | ||||
\(208\) | −2.09845 | − | 1.01359i | −0.145502 | − | 0.0702798i | ||||
\(209\) | 7.39996 | + | 16.6480i | 0.511866 | + | 1.15156i | ||||
\(210\) | 3.32965 | + | 1.84150i | 0.229767 | + | 0.127076i | ||||
\(211\) | −0.635579 | − | 3.60455i | −0.0437551 | − | 0.248147i | 0.955083 | − | 0.296338i | \(-0.0957656\pi\) |
−0.998838 | + | 0.0481908i | \(0.984654\pi\) | |||||||
\(212\) | 0.417839 | − | 1.29437i | 0.0286973 | − | 0.0888979i | ||||
\(213\) | −3.57304 | + | 1.30048i | −0.244821 | + | 0.0891074i | ||||
\(214\) | −0.539089 | + | 0.469527i | −0.0368514 | + | 0.0320962i | ||||
\(215\) | 6.66775 | − | 7.94631i | 0.454736 | − | 0.541934i | ||||
\(216\) | −2.17642 | + | 4.30185i | −0.148086 | + | 0.292704i | ||||
\(217\) | 2.74717 | − | 1.58608i | 0.186490 | − | 0.107670i | ||||
\(218\) | 5.55983 | − | 6.87923i | 0.376559 | − | 0.465920i | ||||
\(219\) | −0.560940 | + | 3.18125i | −0.0379048 | + | 0.214969i | ||||
\(220\) | −16.8311 | − | 8.90809i | −1.13475 | − | 0.600583i | ||||
\(221\) | 1.66521 | + | 0.961412i | 0.112014 | + | 0.0646716i | ||||
\(222\) | 0.180783 | + | 0.469616i | 0.0121334 | + | 0.0315186i | ||||
\(223\) | 26.3079 | + | 9.57530i | 1.76171 | + | 0.641210i | 0.999978 | − | 0.00668309i | \(-0.00212731\pi\) |
0.761732 | + | 0.647893i | \(0.224350\pi\) | |||||||
\(224\) | 13.2118 | − | 19.0612i | 0.882748 | − | 1.27358i | ||||
\(225\) | −0.423893 | + | 0.355689i | −0.0282596 | + | 0.0237126i | ||||
\(226\) | −3.33660 | + | 9.72032i | −0.221948 | + | 0.646586i | ||||
\(227\) | −6.26652 | −0.415924 | −0.207962 | − | 0.978137i | \(-0.566683\pi\) | ||||
−0.207962 | + | 0.978137i | \(0.566683\pi\) | |||||||
\(228\) | −0.171933 | + | 2.50543i | −0.0113865 | + | 0.165926i | ||||
\(229\) | −12.6430 | −0.835472 | −0.417736 | − | 0.908569i | \(-0.637176\pi\) | ||||
−0.417736 | + | 0.908569i | \(0.637176\pi\) | |||||||
\(230\) | −2.63834 | + | 7.68612i | −0.173967 | + | 0.506808i | ||||
\(231\) | −3.78141 | + | 3.17298i | −0.248798 | + | 0.208767i | ||||
\(232\) | 9.43126 | + | 22.0430i | 0.619192 | + | 1.44720i | ||||
\(233\) | 6.32647 | + | 2.30265i | 0.414461 | + | 0.150851i | 0.540830 | − | 0.841132i | \(-0.318110\pi\) |
−0.126369 | + | 0.991983i | \(0.540332\pi\) | |||||||
\(234\) | −0.863447 | − | 2.24296i | −0.0564453 | − | 0.146627i | ||||
\(235\) | −9.70967 | − | 5.60588i | −0.633389 | − | 0.365687i | ||||
\(236\) | 1.98330 | − | 3.74728i | 0.129102 | − | 0.243927i | ||||
\(237\) | −0.516593 | + | 2.92975i | −0.0335563 | + | 0.190307i | ||||
\(238\) | −12.0284 | + | 14.8828i | −0.779685 | + | 0.964711i | ||||
\(239\) | −8.72510 | + | 5.03744i | −0.564380 | + | 0.325845i | −0.754901 | − | 0.655838i | \(-0.772315\pi\) |
0.190522 | + | 0.981683i | \(0.438982\pi\) | |||||||
\(240\) | −1.47616 | − | 2.17059i | −0.0952860 | − | 0.140111i | ||||
\(241\) | 5.43427 | − | 6.47631i | 0.350052 | − | 0.417176i | −0.562073 | − | 0.827088i | \(-0.689996\pi\) |
0.912125 | + | 0.409912i | \(0.134440\pi\) | |||||||
\(242\) | 6.89896 | − | 6.00874i | 0.443482 | − | 0.386256i | ||||
\(243\) | −7.04109 | + | 2.56275i | −0.451686 | + | 0.164400i | ||||
\(244\) | −5.89843 | − | 1.90408i | −0.377608 | − | 0.121896i | ||||
\(245\) | −3.88021 | − | 22.0058i | −0.247898 | − | 1.40590i | ||||
\(246\) | −2.50263 | − | 1.38411i | −0.159562 | − | 0.0882478i | ||||
\(247\) | −1.76298 | − | 1.82786i | −0.112176 | − | 0.116304i | ||||
\(248\) | −2.18509 | + | 0.120787i | −0.138753 | + | 0.00767000i | ||||
\(249\) | 0.423939 | − | 0.0747520i | 0.0268661 | − | 0.00473721i | ||||
\(250\) | 2.97155 | + | 15.2098i | 0.187937 | + | 0.961954i | ||||
\(251\) | −2.91664 | − | 8.01342i | −0.184097 | − | 0.505802i | 0.812973 | − | 0.582302i | \(-0.197848\pi\) |
−0.997070 | + | 0.0764996i | \(0.975626\pi\) | |||||||
\(252\) | 23.3864 | − | 5.01760i | 1.47321 | − | 0.316079i | ||||
\(253\) | −8.07605 | − | 6.77661i | −0.507737 | − | 0.426042i | ||||
\(254\) | 6.55868 | + | 10.8919i | 0.411528 | + | 0.683420i | ||||
\(255\) | 1.08293 | + | 1.87569i | 0.0678158 | + | 0.117460i | ||||
\(256\) | −14.0694 | + | 7.61914i | −0.879339 | + | 0.476196i | ||||
\(257\) | −2.70278 | − | 0.476573i | −0.168595 | − | 0.0297278i | 0.0887134 | − | 0.996057i | \(-0.471724\pi\) |
−0.257308 | + | 0.966329i | \(0.582836\pi\) | |||||||
\(258\) | 0.0341441 | + | 1.85472i | 0.00212572 | + | 0.115470i | ||||
\(259\) | 2.53208 | − | 4.38570i | 0.157336 | − | 0.272514i | ||||
\(260\) | 2.62932 | + | 0.364413i | 0.163064 | + | 0.0225999i | ||||
\(261\) | −8.45709 | + | 23.2357i | −0.523481 | + | 1.43825i | ||||
\(262\) | 19.2689 | + | 3.03305i | 1.19044 | + | 0.187383i | ||||
\(263\) | −1.42151 | − | 1.69409i | −0.0876540 | − | 0.104462i | 0.720435 | − | 0.693523i | \(-0.243942\pi\) |
−0.808089 | + | 0.589061i | \(0.799498\pi\) | |||||||
\(264\) | 3.31598 | − | 0.775556i | 0.204084 | − | 0.0477322i | ||||
\(265\) | 1.54926i | 0.0951706i | ||||||||
\(266\) | 20.6976 | − | 14.5032i | 1.26905 | − | 0.889247i | ||||
\(267\) | − | 4.26784i | − | 0.261187i | ||||||
\(268\) | 20.9076 | − | 18.8976i | 1.27714 | − | 1.15436i | ||||
\(269\) | 9.64383 | + | 11.4931i | 0.587995 | + | 0.700745i | 0.975219 | − | 0.221241i | \(-0.0710106\pi\) |
−0.387225 | + | 0.921985i | \(0.626566\pi\) | |||||||
\(270\) | 0.853872 | − | 5.42462i | 0.0519650 | − | 0.330132i | ||||
\(271\) | 8.76172 | − | 24.0726i | 0.532237 | − | 1.46231i | −0.324166 | − | 0.946000i | \(-0.605084\pi\) |
0.856403 | − | 0.516308i | \(-0.172694\pi\) | |||||||
\(272\) | 12.0396 | − | 5.41553i | 0.730010 | − | 0.328365i | ||||
\(273\) | 0.344039 | − | 0.595893i | 0.0208222 | − | 0.0360651i | ||||
\(274\) | −10.5826 | + | 0.194819i | −0.639319 | + | 0.0117694i | ||||
\(275\) | 0.780821 | + | 0.137680i | 0.0470853 | + | 0.00830240i | ||||
\(276\) | −0.546959 | − | 1.34637i | −0.0329231 | − | 0.0810419i | ||||
\(277\) | −4.24573 | − | 7.35381i | −0.255101 | − | 0.441848i | 0.709822 | − | 0.704381i | \(-0.248775\pi\) |
−0.964923 | + | 0.262533i | \(0.915442\pi\) | |||||||
\(278\) | −23.3436 | + | 14.0566i | −1.40006 | + | 0.843058i | ||||
\(279\) | −1.72894 | − | 1.45075i | −0.103509 | − | 0.0868542i | ||||
\(280\) | −7.65126 | + | 25.2847i | −0.457250 | + | 1.51105i | ||||
\(281\) | −0.393696 | − | 1.08167i | −0.0234859 | − | 0.0645270i | 0.927396 | − | 0.374082i | \(-0.122042\pi\) |
−0.950882 | + | 0.309555i | \(0.899820\pi\) | |||||||
\(282\) | 1.96779 | − | 0.384448i | 0.117180 | − | 0.0228936i | ||||
\(283\) | −9.24245 | + | 1.62969i | −0.549407 | + | 0.0968752i | −0.441459 | − | 0.897281i | \(-0.645539\pi\) |
−0.107948 | + | 0.994157i | \(0.534428\pi\) | |||||||
\(284\) | −14.0320 | − | 22.3608i | −0.832646 | − | 1.32687i | ||||
\(285\) | −0.690322 | − | 2.77596i | −0.0408911 | − | 0.164434i | ||||
\(286\) | −1.66667 | + | 3.01352i | −0.0985521 | + | 0.178193i | ||||
\(287\) | 4.99777 | + | 28.3437i | 0.295009 | + | 1.67308i | ||||
\(288\) | −15.9591 | − | 4.19474i | −0.940397 | − | 0.247177i | ||||
\(289\) | 5.73912 | − | 2.08887i | 0.337595 | − | 0.122875i | ||||
\(290\) | −17.9364 | − | 20.5938i | −1.05326 | − | 1.20931i | ||||
\(291\) | 1.89997 | − | 2.26430i | 0.111378 | − | 0.132736i | ||||
\(292\) | −22.4123 | + | 0.825470i | −1.31158 | + | 0.0483070i | ||||
\(293\) | −15.9687 | + | 9.21954i | −0.932902 | + | 0.538611i | −0.887728 | − | 0.460368i | \(-0.847717\pi\) |
−0.0451738 | + | 0.998979i | \(0.514384\pi\) | |||||||
\(294\) | 3.10787 | + | 2.51180i | 0.181254 | + | 0.146491i | ||||
\(295\) | −0.838596 | + | 4.75591i | −0.0488249 | + | 0.276900i | ||||
\(296\) | −2.92460 | + | 1.91118i | −0.169989 | + | 0.111085i | ||||
\(297\) | 6.16971 | + | 3.56209i | 0.358003 | + | 0.206693i | ||||
\(298\) | 2.69402 | − | 1.03709i | 0.156060 | − | 0.0600768i | ||||
\(299\) | 1.38092 | + | 0.502615i | 0.0798608 | + | 0.0290669i | ||||
\(300\) | 0.0862516 | + | 0.0671225i | 0.00497974 | + | 0.00387532i | ||||
\(301\) | 14.3009 | − | 11.9999i | 0.824288 | − | 0.691660i | ||||
\(302\) | 12.8660 | + | 4.41639i | 0.740354 | + | 0.254135i | ||||
\(303\) | 2.52073 | 0.144812 | ||||||||
\(304\) | −17.2580 | + | 2.48188i | −0.989817 | + | 0.142345i | ||||
\(305\) | 7.05996 | 0.404252 | ||||||||
\(306\) | 12.8775 | + | 4.42034i | 0.736157 | + | 0.252694i | ||||
\(307\) | −4.28349 | + | 3.59427i | −0.244471 | + | 0.205136i | −0.756787 | − | 0.653661i | \(-0.773232\pi\) |
0.512316 | + | 0.858797i | \(0.328788\pi\) | |||||||
\(308\) | −27.0466 | − | 21.0481i | −1.54112 | − | 1.19933i | ||||
\(309\) | −2.38255 | − | 0.867177i | −0.135539 | − | 0.0493320i | ||||
\(310\) | 2.32630 | − | 0.895529i | 0.132125 | − | 0.0508626i | ||||
\(311\) | 10.3643 | + | 5.98382i | 0.587704 | + | 0.339311i | 0.764189 | − | 0.644992i | \(-0.223139\pi\) |
−0.176485 | + | 0.984303i | \(0.556473\pi\) | |||||||
\(312\) | −0.397372 | + | 0.259676i | −0.0224967 | + | 0.0147013i | ||||
\(313\) | −2.75949 | + | 15.6499i | −0.155976 | + | 0.884582i | 0.801913 | + | 0.597441i | \(0.203816\pi\) |
−0.957888 | + | 0.287141i | \(0.907295\pi\) | |||||||
\(314\) | −8.31305 | − | 6.71865i | −0.469133 | − | 0.379156i | ||||
\(315\) | −23.5944 | + | 13.6222i | −1.32939 | + | 0.767525i | ||||
\(316\) | −20.6404 | + | 0.760211i | −1.16112 | + | 0.0427652i | ||||
\(317\) | 10.8229 | − | 12.8982i | 0.607875 | − | 0.724437i | −0.371060 | − | 0.928609i | \(-0.621006\pi\) |
0.978935 | + | 0.204172i | \(0.0654500\pi\) | |||||||
\(318\) | −0.181963 | − | 0.208922i | −0.0102040 | − | 0.0117158i | ||||
\(319\) | 33.2929 | − | 12.1176i | 1.86405 | − | 0.678458i | ||||
\(320\) | 12.5847 | − | 13.1820i | 0.703507 | − | 0.736897i | ||||
\(321\) | 0.0252867 | + | 0.143408i | 0.00141137 | + | 0.00800425i | ||||
\(322\) | −7.07806 | + | 12.7979i | −0.394445 | + | 0.713202i | ||||
\(323\) | 14.3516 | − | 0.994743i | 0.798546 | − | 0.0553490i | ||||
\(324\) | −8.78102 | − | 13.9931i | −0.487834 | − | 0.777394i | ||||
\(325\) | −0.108840 | + | 0.0191915i | −0.00603738 | + | 0.00106455i | ||||
\(326\) | 22.9961 | − | 4.49276i | 1.27364 | − | 0.248831i | ||||
\(327\) | −0.616218 | − | 1.69304i | −0.0340769 | − | 0.0936255i | ||||
\(328\) | 5.75085 | − | 19.0045i | 0.317538 | − | 1.04935i | ||||
\(329\) | −15.4570 | − | 12.9699i | −0.852171 | − | 0.715056i | ||||
\(330\) | −3.32303 | + | 2.00099i | −0.182927 | + | 0.110151i | ||||
\(331\) | 7.28237 | + | 12.6134i | 0.400275 | + | 0.693297i | 0.993759 | − | 0.111549i | \(-0.0355811\pi\) |
−0.593484 | + | 0.804846i | \(0.702248\pi\) | |||||||
\(332\) | 1.12488 | + | 2.76896i | 0.0617360 | + | 0.151967i | ||||
\(333\) | −3.54839 | − | 0.625676i | −0.194450 | − | 0.0342868i | ||||
\(334\) | −10.9091 | + | 0.200829i | −0.596920 | + | 0.0109889i | ||||
\(335\) | −16.0505 | + | 27.8003i | −0.876934 | + | 1.51889i | ||||
\(336\) | −1.93794 | − | 4.30836i | −0.105723 | − | 0.235040i | ||||
\(337\) | 0.136737 | − | 0.375681i | 0.00744853 | − | 0.0204647i | −0.935913 | − | 0.352232i | \(-0.885423\pi\) |
0.943361 | + | 0.331768i | \(0.107645\pi\) | |||||||
\(338\) | −2.78405 | + | 17.6870i | −0.151432 | + | 0.962045i | ||||
\(339\) | 1.34560 | + | 1.60362i | 0.0730829 | + | 0.0870968i | ||||
\(340\) | −11.1556 | + | 10.0831i | −0.604996 | + | 0.546834i | ||||
\(341\) | 3.23387i | 0.175124i | ||||||||
\(342\) | −14.7333 | − | 10.3088i | −0.796684 | − | 0.557438i | ||||
\(343\) | − | 11.5155i | − | 0.621779i | ||||||
\(344\) | −12.5407 | + | 2.93307i | −0.676147 | + | 0.158140i | ||||
\(345\) | 1.06400 | + | 1.26803i | 0.0572840 | + | 0.0682684i | ||||
\(346\) | −13.0313 | − | 2.05122i | −0.700569 | − | 0.110274i | ||||
\(347\) | 6.38859 | − | 17.5525i | 0.342958 | − | 0.942268i | −0.641574 | − | 0.767061i | \(-0.721718\pi\) |
0.984532 | − | 0.175207i | \(-0.0560595\pi\) | |||||||
\(348\) | 4.83753 | + | 0.670461i | 0.259319 | + | 0.0359405i | ||||
\(349\) | −3.47936 | + | 6.02643i | −0.186246 | + | 0.322587i | −0.943996 | − | 0.329958i | \(-0.892965\pi\) |
0.757750 | + | 0.652545i | \(0.226299\pi\) | |||||||
\(350\) | −0.0202447 | − | 1.09970i | −0.00108212 | − | 0.0587813i | ||||
\(351\) | −0.977967 | − | 0.172442i | −0.0522000 | − | 0.00920427i | ||||
\(352\) | 10.0943 | + | 21.3804i | 0.538026 | + | 1.13958i | ||||
\(353\) | −2.82935 | − | 4.90058i | −0.150591 | − | 0.260831i | 0.780854 | − | 0.624714i | \(-0.214784\pi\) |
−0.931445 | + | 0.363882i | \(0.881451\pi\) | |||||||
\(354\) | −0.445502 | − | 0.739841i | −0.0236782 | − | 0.0393221i | ||||
\(355\) | 23.0346 | + | 19.3284i | 1.22255 | + | 1.02584i | ||||
\(356\) | 28.9714 | − | 6.21586i | 1.53548 | − | 0.329440i | ||||
\(357\) | 1.33315 | + | 3.66281i | 0.0705579 | + | 0.193856i | ||||
\(358\) | 0.429192 | + | 2.19681i | 0.0226835 | + | 0.116105i | ||||
\(359\) | −22.1724 | + | 3.90959i | −1.17022 | + | 0.206340i | −0.724784 | − | 0.688976i | \(-0.758061\pi\) |
−0.445431 | + | 0.895316i | \(0.646949\pi\) | |||||||
\(360\) | 18.7669 | − | 1.03740i | 0.989102 | − | 0.0546756i | ||||
\(361\) | −18.5800 | − | 3.97305i | −0.977893 | − | 0.209108i | ||||
\(362\) | 16.4695 | + | 9.10865i | 0.865617 | + | 0.478740i | ||||
\(363\) | −0.323605 | − | 1.83525i | −0.0169848 | − | 0.0963258i | ||||
\(364\) | 4.54619 | + | 1.46756i | 0.238285 | + | 0.0769211i | ||||
\(365\) | 24.0053 | − | 8.73722i | 1.25650 | − | 0.457327i | ||||
\(366\) | −0.952053 | + | 0.829203i | −0.0497646 | + | 0.0433431i | ||||
\(367\) | −19.3515 | + | 23.0622i | −1.01014 | + | 1.20384i | −0.0312345 | + | 0.999512i | \(0.509944\pi\) |
−0.978903 | + | 0.204323i | \(0.934501\pi\) | |||||||
\(368\) | 8.34297 | − | 5.67384i | 0.434907 | − | 0.295769i | ||||
\(369\) | 17.7340 | − | 10.2387i | 0.923197 | − | 0.533008i | ||||
\(370\) | 2.50142 | − | 3.09503i | 0.130042 | − | 0.160903i | ||||
\(371\) | −0.484164 | + | 2.74583i | −0.0251366 | + | 0.142557i | ||||
\(372\) | −0.208526 | + | 0.393991i | −0.0108115 | + | 0.0204275i | ||||
\(373\) | 15.0172 | + | 8.67020i | 0.777562 | + | 0.448926i | 0.835566 | − | 0.549391i | \(-0.185140\pi\) |
−0.0580034 | + | 0.998316i | \(0.518473\pi\) | |||||||
\(374\) | −7.00847 | − | 18.2057i | −0.362399 | − | 0.941397i | ||||
\(375\) | 2.96636 | + | 1.07967i | 0.153182 | + | 0.0557538i | ||||
\(376\) | 5.47573 | + | 12.7981i | 0.282389 | + | 0.660009i | ||||
\(377\) | −3.78320 | + | 3.17448i | −0.194844 | + | 0.163494i | ||||
\(378\) | 3.20862 | − | 9.34746i | 0.165033 | − | 0.480781i | ||||
\(379\) | −13.0139 | −0.668480 | −0.334240 | − | 0.942488i | \(-0.608480\pi\) | ||||
−0.334240 | + | 0.942488i | \(0.608480\pi\) | |||||||
\(380\) | 17.8387 | − | 8.72916i | 0.915106 | − | 0.447796i | ||||
\(381\) | 2.58981 | 0.132680 | ||||||||
\(382\) | −5.82214 | + | 16.9613i | −0.297887 | + | 0.867814i | ||||
\(383\) | 21.9719 | − | 18.4366i | 1.12271 | − | 0.942068i | 0.123975 | − | 0.992285i | \(-0.460436\pi\) |
0.998738 | + | 0.0502175i | \(0.0159915\pi\) | |||||||
\(384\) | −0.148832 | + | 3.25572i | −0.00759504 | + | 0.166143i | ||||
\(385\) | 36.6827 | + | 13.3514i | 1.86952 | + | 0.680450i | ||||
\(386\) | −11.1602 | − | 28.9906i | −0.568039 | − | 1.47558i | ||||
\(387\) | −11.5030 | − | 6.64124i | −0.584729 | − | 0.337593i | ||||
\(388\) | 18.1380 | + | 9.59979i | 0.920816 | + | 0.487355i | ||||
\(389\) | 5.59981 | − | 31.7581i | 0.283921 | − | 1.61020i | −0.425191 | − | 0.905104i | \(-0.639793\pi\) |
0.709113 | − | 0.705095i | \(-0.249096\pi\) | |||||||
\(390\) | 0.339872 | − | 0.420527i | 0.0172101 | − | 0.0212942i | ||||
\(391\) | −7.20948 | + | 4.16240i | −0.364599 | + | 0.210501i | ||||
\(392\) | −12.5244 | + | 24.7555i | −0.632579 | + | 1.25034i | ||||
\(393\) | 2.55399 | − | 3.04373i | 0.128832 | − | 0.153536i | ||||
\(394\) | 4.84578 | − | 4.22049i | 0.244127 | − | 0.212625i | ||||
\(395\) | 22.1075 | − | 8.04648i | 1.11235 | − | 0.404862i | ||||
\(396\) | −7.49081 | + | 23.2049i | −0.376428 | + | 1.16609i | ||||
\(397\) | 2.86736 | + | 16.2616i | 0.143909 | + | 0.816146i | 0.968237 | + | 0.250034i | \(0.0804419\pi\) |
−0.824328 | + | 0.566112i | \(0.808447\pi\) | |||||||
\(398\) | 15.0775 | + | 8.33878i | 0.755765 | + | 0.417985i | ||||
\(399\) | −0.355967 | − | 5.13570i | −0.0178206 | − | 0.257106i | ||||
\(400\) | −0.330028 | + | 0.683264i | −0.0165014 | + | 0.0341632i | ||||
\(401\) | −22.0221 | + | 3.88308i | −1.09973 | + | 0.193912i | −0.693925 | − | 0.720048i | \(-0.744120\pi\) |
−0.405805 | + | 0.913960i | \(0.633009\pi\) | |||||||
\(402\) | −1.10074 | − | 5.63410i | −0.0548998 | − | 0.281003i | ||||
\(403\) | −0.154175 | − | 0.423591i | −0.00767999 | − | 0.0211006i | ||||
\(404\) | 3.67131 | + | 17.1115i | 0.182654 | + | 0.851331i | ||||
\(405\) | 14.4147 | + | 12.0954i | 0.716274 | + | 0.601026i | ||||
\(406\) | −25.3537 | − | 42.1046i | −1.25828 | − | 2.08962i | ||||
\(407\) | 2.58135 | + | 4.47103i | 0.127953 | + | 0.221621i | ||||
\(408\) | 0.320078 | − | 2.66997i | 0.0158462 | − | 0.132183i | ||||
\(409\) | −21.3931 | − | 3.77218i | −1.05782 | − | 0.186522i | −0.382431 | − | 0.923984i | \(-0.624913\pi\) |
−0.675389 | + | 0.737462i | \(0.736024\pi\) | |||||||
\(410\) | 0.416283 | + | 22.6126i | 0.0205587 | + | 1.11676i | ||||
\(411\) | −1.07799 | + | 1.86714i | −0.0531736 | + | 0.0920993i | ||||
\(412\) | 2.41662 | − | 17.4365i | 0.119059 | − | 0.859035i | ||||
\(413\) | −2.97256 | + | 8.16705i | −0.146270 | + | 0.401874i | ||||
\(414\) | 10.2789 | + | 1.61797i | 0.505182 | + | 0.0795190i | ||||
\(415\) | −2.18824 | − | 2.60785i | −0.107417 | − | 0.128014i | ||||
\(416\) | −2.34151 | − | 2.31928i | −0.114802 | − | 0.113712i | ||||
\(417\) | 5.55050i | 0.271809i | ||||||||
\(418\) | 2.25434 | + | 25.6661i | 0.110264 | + | 1.25537i | ||||
\(419\) | − | 13.1962i | − | 0.644678i | −0.946624 | − | 0.322339i | \(-0.895531\pi\) | ||
0.946624 | − | 0.322339i | \(-0.104469\pi\) | |||||||
\(420\) | 3.60823 | + | 3.99200i | 0.176063 | + | 0.194790i | ||||
\(421\) | −4.59262 | − | 5.47327i | −0.223830 | − | 0.266751i | 0.642429 | − | 0.766345i | \(-0.277927\pi\) |
−0.866259 | + | 0.499595i | \(0.833482\pi\) | |||||||
\(422\) | 0.804865 | − | 5.11328i | 0.0391802 | − | 0.248911i | ||||
\(423\) | −4.91013 | + | 13.4905i | −0.238739 | + | 0.655930i | ||||
\(424\) | 1.15321 | − | 1.53951i | 0.0560048 | − | 0.0747651i | ||||
\(425\) | 0.313039 | − | 0.542200i | 0.0151846 | − | 0.0263005i | ||||
\(426\) | −5.37642 | + | 0.0989763i | −0.260488 | + | 0.00479542i | ||||
\(427\) | 12.5127 | + | 2.20633i | 0.605532 | + | 0.106772i | ||||
\(428\) | −0.936670 | + | 0.380520i | −0.0452756 | + | 0.0183931i | ||||
\(429\) | 0.350733 | + | 0.607487i | 0.0169335 | + | 0.0293297i | ||||
\(430\) | 12.5673 | − | 7.56754i | 0.606050 | − | 0.364939i | ||||
\(431\) | −10.9959 | − | 9.22664i | −0.529653 | − | 0.444432i | 0.338329 | − | 0.941028i | \(-0.390138\pi\) |
−0.867982 | + | 0.496596i | \(0.834583\pi\) | |||||||
\(432\) | −4.88636 | + | 4.75487i | −0.235095 | + | 0.228769i | ||||
\(433\) | −9.93835 | − | 27.3054i | −0.477607 | − | 1.31221i | −0.911519 | − | 0.411258i | \(-0.865089\pi\) |
0.433912 | − | 0.900955i | \(-0.357133\pi\) | |||||||
\(434\) | 4.40287 | − | 0.860190i | 0.211344 | − | 0.0412904i | ||||
\(435\) | −5.47833 | + | 0.965977i | −0.262666 | + | 0.0463151i | ||||
\(436\) | 10.5954 | − | 6.64890i | 0.507429 | − | 0.318425i | ||||
\(437\) | 10.6698 | − | 2.65335i | 0.510405 | − | 0.126927i | ||||
\(438\) | −2.21098 | + | 3.99769i | −0.105644 | + | 0.191017i | ||||
\(439\) | −4.75454 | − | 26.9643i | −0.226922 | − | 1.28694i | −0.858977 | − | 0.512014i | \(-0.828900\pi\) |
0.632055 | − | 0.774923i | \(-0.282212\pi\) | |||||||
\(440\) | −18.4232 | − | 19.6434i | −0.878291 | − | 0.936464i | ||||
\(441\) | −26.8868 | + | 9.78599i | −1.28032 | + | 0.466000i | ||||
\(442\) | 1.78597 | + | 2.05057i | 0.0849498 | + | 0.0975355i | ||||
\(443\) | 9.24631 | − | 11.0193i | 0.439305 | − | 0.523544i | −0.500278 | − | 0.865865i | \(-0.666769\pi\) |
0.939583 | + | 0.342321i | \(0.111213\pi\) | |||||||
\(444\) | 0.0261931 | + | 0.711167i | 0.00124307 | + | 0.0337505i | ||||
\(445\) | −29.2290 | + | 16.8754i | −1.38559 | + | 0.799969i | ||||
\(446\) | 30.7931 | + | 24.8872i | 1.45810 | + | 1.17844i | ||||
\(447\) | 0.102108 | − | 0.579082i | 0.00482953 | − | 0.0273896i | ||||
\(448\) | 26.4240 | − | 19.4302i | 1.24842 | − | 0.917991i | ||||
\(449\) | −19.6084 | − | 11.3209i | −0.925380 | − | 0.534268i | −0.0400325 | − | 0.999198i | \(-0.512746\pi\) |
−0.885347 | + | 0.464930i | \(0.846079\pi\) | |||||||
\(450\) | −0.730315 | + | 0.281141i | −0.0344274 | + | 0.0132531i | ||||
\(451\) | −27.5715 | − | 10.0352i | −1.29829 | − | 0.472539i | ||||
\(452\) | −8.92611 | + | 11.4699i | −0.419849 | + | 0.539501i | ||||
\(453\) | 2.12258 | − | 1.78106i | 0.0997276 | − | 0.0836814i | ||||
\(454\) | −8.38213 | − | 2.87726i | −0.393393 | − | 0.135036i | ||||
\(455\) | −5.44144 | −0.255099 | ||||||||
\(456\) | −1.38034 | + | 3.27233i | −0.0646403 | + | 0.153241i | ||||
\(457\) | 20.3699 | 0.952862 | 0.476431 | − | 0.879212i | \(-0.341930\pi\) | ||||
0.476431 | + | 0.879212i | \(0.341930\pi\) | |||||||
\(458\) | −16.9113 | − | 5.80499i | −0.790213 | − | 0.271249i | ||||
\(459\) | 4.30940 | − | 3.61602i | 0.201146 | − | 0.168781i | ||||
\(460\) | −7.05812 | + | 9.06960i | −0.329087 | + | 0.422872i | ||||
\(461\) | −17.2074 | − | 6.26298i | −0.801429 | − | 0.291696i | −0.0913504 | − | 0.995819i | \(-0.529118\pi\) |
−0.710078 | + | 0.704123i | \(0.751341\pi\) | |||||||
\(462\) | −6.51489 | + | 2.50796i | −0.303100 | + | 0.116681i | ||||
\(463\) | −8.71218 | − | 5.02998i | −0.404890 | − | 0.233763i | 0.283702 | − | 0.958912i | \(-0.408437\pi\) |
−0.688592 | + | 0.725149i | \(0.741771\pi\) | |||||||
\(464\) | 2.49429 | + | 33.8152i | 0.115794 | + | 1.56983i | ||||
\(465\) | 0.0881705 | − | 0.500040i | 0.00408881 | − | 0.0231888i | ||||
\(466\) | 7.40506 | + | 5.98481i | 0.343033 | + | 0.277241i | ||||
\(467\) | 4.54318 | − | 2.62300i | 0.210233 | − | 0.121378i | −0.391187 | − | 0.920311i | \(-0.627935\pi\) |
0.601420 | + | 0.798933i | \(0.294602\pi\) | |||||||
\(468\) | −0.125102 | − | 3.39664i | −0.00578285 | − | 0.157010i | ||||
\(469\) | −37.1350 | + | 44.2558i | −1.71474 | + | 2.04354i | ||||
\(470\) | −10.4138 | − | 11.9566i | −0.480351 | − | 0.551517i | ||||
\(471\) | −2.04592 | + | 0.744654i | −0.0942711 | + | 0.0343119i | ||||
\(472\) | 4.37342 | − | 4.10175i | 0.201303 | − | 0.188798i | ||||
\(473\) | 3.30481 | + | 18.7425i | 0.151955 | + | 0.861782i | ||||
\(474\) | −2.03618 | + | 3.68165i | −0.0935249 | + | 0.169104i | ||||
\(475\) | −0.595156 | + | 0.574033i | −0.0273076 | + | 0.0263384i | ||||
\(476\) | −22.9226 | + | 14.3845i | −1.05066 | + | 0.659314i | ||||
\(477\) | 1.95364 | − | 0.344480i | 0.0894511 | − | 0.0157726i | ||||
\(478\) | −13.9836 | + | 2.73199i | −0.639597 | + | 0.124958i | ||||
\(479\) | 1.67304 | + | 4.59663i | 0.0764430 | + | 0.210025i | 0.972028 | − | 0.234865i | \(-0.0754648\pi\) |
−0.895585 | + | 0.444890i | \(0.853243\pi\) | |||||||
\(480\) | −0.977903 | − | 3.58117i | −0.0446350 | − | 0.163457i | ||||
\(481\) | −0.551276 | − | 0.462575i | −0.0251360 | − | 0.0210916i | ||||
\(482\) | 10.2425 | − | 6.16761i | 0.466532 | − | 0.280927i | ||||
\(483\) | 1.48950 | + | 2.57990i | 0.0677748 | + | 0.117389i | ||||
\(484\) | 11.9870 | − | 4.86967i | 0.544862 | − | 0.221349i | ||||
\(485\) | −23.0201 | − | 4.05906i | −1.04529 | − | 0.184312i | ||||
\(486\) | −10.5949 | + | 0.195044i | −0.480593 | + | 0.00884739i | ||||
\(487\) | 9.66172 | − | 16.7346i | 0.437814 | − | 0.758317i | −0.559706 | − | 0.828691i | \(-0.689086\pi\) |
0.997521 | + | 0.0703744i | \(0.0224194\pi\) | |||||||
\(488\) | −7.01550 | − | 5.25515i | −0.317577 | − | 0.237890i | ||||
\(489\) | 1.63238 | − | 4.48492i | 0.0738186 | − | 0.202815i | ||||
\(490\) | 4.91370 | − | 31.2166i | 0.221978 | − | 1.41022i | ||||
\(491\) | −14.7254 | − | 17.5490i | −0.664547 | − | 0.791977i | 0.323483 | − | 0.946234i | \(-0.395146\pi\) |
−0.988031 | + | 0.154257i | \(0.950702\pi\) | |||||||
\(492\) | −2.71202 | − | 3.00047i | −0.122267 | − | 0.135272i | ||||
\(493\) | − | 27.9766i | − | 1.26000i | ||||||
\(494\) | −1.51891 | − | 3.25441i | −0.0683392 | − | 0.146423i | ||||
\(495\) | − | 27.7745i | − | 1.24837i | ||||||
\(496\) | −2.97824 | − | 0.841712i | −0.133727 | − | 0.0377940i | ||||
\(497\) | 34.7850 | + | 41.4551i | 1.56032 | + | 1.85952i | ||||
\(498\) | 0.601385 | + | 0.0946620i | 0.0269487 | + | 0.00424191i | ||||
\(499\) | 0.869506 | − | 2.38895i | 0.0389245 | − | 0.106944i | −0.918708 | − | 0.394938i | \(-0.870766\pi\) |
0.957632 | + | 0.287994i | \(0.0929883\pi\) | |||||||
\(500\) | −3.00879 | + | 21.7091i | −0.134557 | + | 0.970860i | ||||
\(501\) | −1.11125 | + | 1.92475i | −0.0496472 | + | 0.0859914i | ||||
\(502\) | −0.221979 | − | 12.0579i | −0.00990740 | − | 0.538172i | ||||
\(503\) | −39.8057 | − | 7.01881i | −1.77485 | − | 0.312953i | −0.812132 | − | 0.583473i | \(-0.801693\pi\) |
−0.962714 | + | 0.270520i | \(0.912804\pi\) | |||||||
\(504\) | 33.5856 | + | 4.02626i | 1.49602 | + | 0.179344i | ||||
\(505\) | −9.96719 | − | 17.2637i | −0.443534 | − | 0.768224i | ||||
\(506\) | −7.69109 | − | 12.7725i | −0.341911 | − | 0.567807i | ||||
\(507\) | 2.79385 | + | 2.34432i | 0.124079 | + | 0.104115i | ||||
\(508\) | 3.77192 | + | 17.5805i | 0.167352 | + | 0.780008i | ||||
\(509\) | 2.34020 | + | 6.42964i | 0.103728 | + | 0.284989i | 0.980690 | − | 0.195570i | \(-0.0626558\pi\) |
−0.876962 | + | 0.480559i | \(0.840434\pi\) | |||||||
\(510\) | 0.587315 | + | 3.00616i | 0.0260067 | + | 0.133115i | ||||
\(511\) | 45.2762 | − | 7.98342i | 2.00290 | − | 0.353166i | ||||
\(512\) | −22.3176 | + | 3.73145i | −0.986309 | + | 0.164909i | ||||
\(513\) | −6.78927 | + | 3.01781i | −0.299754 | + | 0.133239i | ||||
\(514\) | −3.39643 | − | 1.87844i | −0.149810 | − | 0.0828545i | ||||
\(515\) | 3.48179 | + | 19.7462i | 0.153426 | + | 0.870121i | ||||
\(516\) | −0.805916 | + | 2.49655i | −0.0354785 | + | 0.109905i | ||||
\(517\) | 19.3297 | − | 7.03543i | 0.850118 | − | 0.309418i | ||||
\(518\) | 5.40061 | − | 4.70373i | 0.237289 | − | 0.206670i | ||||
\(519\) | −1.72724 | + | 2.05844i | −0.0758173 | + | 0.0903555i | ||||
\(520\) | 3.34967 | + | 1.69469i | 0.146893 | + | 0.0743169i | ||||
\(521\) | 32.2497 | − | 18.6194i | 1.41288 | − | 0.815729i | 0.417225 | − | 0.908803i | \(-0.363003\pi\) |
0.995659 | + | 0.0930744i | \(0.0296694\pi\) | |||||||
\(522\) | −21.9808 | + | 27.1971i | −0.962074 | + | 1.19038i | ||||
\(523\) | −7.68298 | + | 43.5724i | −0.335953 | + | 1.90529i | 0.0816571 | + | 0.996660i | \(0.473979\pi\) |
−0.417611 | + | 0.908626i | \(0.637132\pi\) | |||||||
\(524\) | 24.3815 | + | 12.9043i | 1.06511 | + | 0.563726i | ||||
\(525\) | −0.194025 | − | 0.112020i | −0.00846794 | − | 0.00488897i | ||||
\(526\) | −1.12358 | − | 2.91870i | −0.0489904 | − | 0.127261i | ||||
\(527\) | 2.39959 | + | 0.873380i | 0.104528 | + | 0.0380450i | ||||
\(528\) | 4.79156 | + | 0.485135i | 0.208526 | + | 0.0211128i | ||||
\(529\) | 12.7452 | − | 10.6945i | 0.554138 | − | 0.464977i | ||||
\(530\) | −0.711340 | + | 2.07230i | −0.0308987 | + | 0.0900151i | ||||
\(531\) | 6.18373 | 0.268351 | ||||||||
\(532\) | 34.3443 | − | 9.89627i | 1.48901 | − | 0.429058i | ||||
\(533\) | 4.08990 | 0.177153 | ||||||||
\(534\) | 1.95956 | − | 5.70867i | 0.0847986 | − | 0.247038i | ||||
\(535\) | 0.882168 | − | 0.740227i | 0.0381395 | − | 0.0320028i | ||||
\(536\) | 36.6429 | − | 15.6779i | 1.58273 | − | 0.677182i | ||||
\(537\) | 0.428443 | + | 0.155940i | 0.0184887 | + | 0.00672933i | ||||
\(538\) | 7.62261 | + | 19.8011i | 0.328634 | + | 0.853686i | ||||
\(539\) | 35.5043 | + | 20.4984i | 1.52928 | + | 0.882930i | ||||
\(540\) | 3.63284 | − | 6.86394i | 0.156333 | − | 0.295377i | ||||
\(541\) | 6.37799 | − | 36.1714i | 0.274211 | − | 1.55513i | −0.467245 | − | 0.884128i | \(-0.654753\pi\) |
0.741456 | − | 0.671001i | \(-0.234135\pi\) | |||||||
\(542\) | 22.7726 | − | 28.1767i | 0.978167 | − | 1.21029i | ||||
\(543\) | 3.32003 | − | 1.91682i | 0.142476 | − | 0.0822587i | ||||
\(544\) | 18.5908 | − | 1.71587i | 0.797074 | − | 0.0735675i | ||||
\(545\) | −9.15853 | + | 10.9147i | −0.392308 | + | 0.467535i | ||||
\(546\) | 0.733791 | − | 0.639105i | 0.0314033 | − | 0.0273512i | ||||
\(547\) | −30.6008 | + | 11.1378i | −1.30840 | + | 0.476217i | −0.899722 | − | 0.436464i | \(-0.856231\pi\) |
−0.408673 | + | 0.912681i | \(0.634008\pi\) | |||||||
\(548\) | −14.2448 | − | 4.59838i | −0.608507 | − | 0.196433i | ||||
\(549\) | −1.56979 | − | 8.90270i | −0.0669969 | − | 0.379958i | ||||
\(550\) | 0.981214 | + | 0.542673i | 0.0418391 | + | 0.0231396i | ||||
\(551\) | −10.2063 | + | 35.5118i | −0.434805 | + | 1.51285i | ||||
\(552\) | −0.113433 | − | 2.05204i | −0.00482802 | − | 0.0873408i | ||||
\(553\) | 41.6968 | − | 7.35227i | 1.77313 | − | 0.312650i | ||||
\(554\) | −2.30262 | − | 11.7859i | −0.0978288 | − | 0.500735i | ||||
\(555\) | −0.277242 | − | 0.761715i | −0.0117683 | − | 0.0323330i | ||||
\(556\) | −37.6786 | + | 8.08399i | −1.59793 | + | 0.342838i | ||||
\(557\) | 9.87223 | + | 8.28378i | 0.418300 | + | 0.350995i | 0.827516 | − | 0.561442i | \(-0.189753\pi\) |
−0.409216 | + | 0.912438i | \(0.634198\pi\) | |||||||
\(558\) | −1.64653 | − | 2.73437i | −0.0697030 | − | 0.115755i | ||||
\(559\) | −1.32643 | − | 2.29745i | −0.0561021 | − | 0.0971717i | ||||
\(560\) | −21.8438 | + | 30.3079i | −0.923068 | + | 1.28074i | ||||
\(561\) | −3.91334 | − | 0.690028i | −0.165221 | − | 0.0291330i | ||||
\(562\) | −0.0299632 | − | 1.62761i | −0.00126392 | − | 0.0686566i | ||||
\(563\) | 2.06206 | − | 3.57160i | 0.0869055 | − | 0.150525i | −0.819296 | − | 0.573371i | \(-0.805635\pi\) |
0.906202 | + | 0.422846i | \(0.138969\pi\) | |||||||
\(564\) | 2.80864 | + | 0.389266i | 0.118265 | + | 0.0163911i | ||||
\(565\) | 5.66208 | − | 15.5564i | 0.238205 | − | 0.654464i | ||||
\(566\) | −13.1110 | − | 2.06376i | −0.551097 | − | 0.0867463i | ||||
\(567\) | 21.7679 | + | 25.9420i | 0.914168 | + | 1.08946i | ||||
\(568\) | −8.50234 | − | 36.3527i | −0.356750 | − | 1.52533i | ||||
\(569\) | 2.71200i | 0.113693i | 0.998383 | + | 0.0568466i | \(0.0181046\pi\) | ||||
−0.998383 | + | 0.0568466i | \(0.981895\pi\) | |||||||
\(570\) | 0.351197 | − | 4.03010i | 0.0147100 | − | 0.168802i | ||||
\(571\) | 27.8695i | 1.16630i | 0.812363 | + | 0.583152i | \(0.198181\pi\) | ||||
−0.812363 | + | 0.583152i | \(0.801819\pi\) | |||||||
\(572\) | −3.61299 | + | 3.26565i | −0.151067 | + | 0.136544i | ||||
\(573\) | 2.34798 | + | 2.79821i | 0.0980881 | + | 0.116897i | ||||
\(574\) | −6.32892 | + | 40.2074i | −0.264164 | + | 1.67823i | ||||
\(575\) | 0.163653 | − | 0.449633i | 0.00682480 | − | 0.0187510i | ||||
\(576\) | −19.4209 | − | 12.9385i | −0.809204 | − | 0.539102i | ||||
\(577\) | −20.7062 | + | 35.8643i | −0.862012 | + | 1.49305i | 0.00797112 | + | 0.999968i | \(0.497463\pi\) |
−0.869983 | + | 0.493081i | \(0.835871\pi\) | |||||||
\(578\) | 8.63577 | − | 0.158979i | 0.359201 | − | 0.00661265i | ||||
\(579\) | −6.23156 | − | 1.09879i | −0.258975 | − | 0.0456642i | ||||
\(580\) | −14.5362 | − | 35.7817i | −0.603584 | − | 1.48576i | ||||
\(581\) | −3.06334 | − | 5.30586i | −0.127089 | − | 0.220124i | ||||
\(582\) | 3.58106 | − | 2.15637i | 0.148440 | − | 0.0893843i | ||||
\(583\) | −2.17743 | − | 1.82708i | −0.0901801 | − | 0.0756701i | ||||
\(584\) | −30.3578 | − | 9.18639i | −1.25621 | − | 0.380135i | ||||
\(585\) | 1.32415 | + | 3.63807i | 0.0547468 | + | 0.150415i | ||||
\(586\) | −25.5929 | + | 5.00010i | −1.05723 | + | 0.206552i | ||||
\(587\) | 14.7610 | − | 2.60276i | 0.609252 | − | 0.107428i | 0.139494 | − | 0.990223i | \(-0.455452\pi\) |
0.469758 | + | 0.882795i | \(0.344341\pi\) | |||||||
\(588\) | 3.00381 | + | 4.78676i | 0.123875 | + | 0.197402i | ||||
\(589\) | −2.72727 | − | 1.98403i | −0.112375 | − | 0.0817504i | ||||
\(590\) | −3.30537 | + | 5.97649i | −0.136080 | + | 0.246048i | ||||
\(591\) | −0.227298 | − | 1.28907i | −0.00934977 | − | 0.0530252i | ||||
\(592\) | −4.78948 | + | 1.21358i | −0.196846 | + | 0.0498779i | ||||
\(593\) | −7.47341 | + | 2.72010i | −0.306896 | + | 0.111701i | −0.490877 | − | 0.871229i | \(-0.663324\pi\) |
0.183981 | + | 0.982930i | \(0.441101\pi\) | |||||||
\(594\) | 6.61711 | + | 7.59747i | 0.271503 | + | 0.311728i | ||||
\(595\) | 19.8140 | − | 23.6134i | 0.812293 | − | 0.968053i | ||||
\(596\) | 4.07971 | − | 0.150260i | 0.167111 | − | 0.00615490i | ||||
\(597\) | 3.03942 | − | 1.75481i | 0.124395 | − | 0.0718195i | ||||
\(598\) | 1.61635 | + | 1.30635i | 0.0660976 | + | 0.0534204i | ||||
\(599\) | 4.61115 | − | 26.1511i | 0.188407 | − | 1.06851i | −0.733093 | − | 0.680128i | \(-0.761924\pi\) |
0.921500 | − | 0.388379i | \(-0.126965\pi\) | |||||||
\(600\) | 0.0845514 | + | 0.129386i | 0.00345180 | + | 0.00528214i | ||||
\(601\) | 22.0067 | + | 12.7056i | 0.897673 | + | 0.518272i | 0.876444 | − | 0.481503i | \(-0.159909\pi\) |
0.0212282 | + | 0.999775i | \(0.493242\pi\) | |||||||
\(602\) | 24.6386 | − | 9.48485i | 1.00419 | − | 0.386573i | ||||
\(603\) | 38.6254 | + | 14.0585i | 1.57295 | + | 0.572506i | ||||
\(604\) | 15.1818 | + | 11.8148i | 0.617739 | + | 0.480735i | ||||
\(605\) | −11.2895 | + | 9.47300i | −0.458983 | + | 0.385132i | ||||
\(606\) | 3.37174 | + | 1.15739i | 0.136968 | + | 0.0470157i | ||||
\(607\) | −13.6931 | −0.555787 | −0.277894 | − | 0.960612i | \(-0.589636\pi\) | ||||
−0.277894 | + | 0.960612i | \(0.589636\pi\) | |||||||
\(608\) | −24.2240 | − | 4.60421i | −0.982412 | − | 0.186726i | ||||
\(609\) | −10.0114 | −0.405681 | ||||||||
\(610\) | 9.44344 | + | 3.24156i | 0.382354 | + | 0.131247i | ||||
\(611\) | −2.19650 | + | 1.84308i | −0.0888609 | + | 0.0745631i | ||||
\(612\) | 15.1954 | + | 11.8253i | 0.614237 | + | 0.478010i | ||||
\(613\) | 18.5018 | + | 6.73412i | 0.747282 | + | 0.271988i | 0.687462 | − | 0.726221i | \(-0.258725\pi\) |
0.0598205 | + | 0.998209i | \(0.480947\pi\) | |||||||
\(614\) | −7.37991 | + | 2.84096i | −0.297829 | + | 0.114652i | ||||
\(615\) | 3.98965 | + | 2.30343i | 0.160878 | + | 0.0928831i | ||||
\(616\) | −26.5134 | − | 40.5724i | −1.06826 | − | 1.63471i | ||||
\(617\) | 0.953161 | − | 5.40564i | 0.0383728 | − | 0.217623i | −0.959592 | − | 0.281396i | \(-0.909202\pi\) |
0.997964 | + | 0.0637735i | \(0.0203135\pi\) | |||||||
\(618\) | −2.78875 | − | 2.25388i | −0.112180 | − | 0.0906644i | ||||
\(619\) | −12.3997 | + | 7.15899i | −0.498388 | + | 0.287744i | −0.728047 | − | 0.685527i | \(-0.759572\pi\) |
0.229660 | + | 0.973271i | \(0.426239\pi\) | |||||||
\(620\) | 3.52284 | − | 0.129750i | 0.141481 | − | 0.00521090i | ||||
\(621\) | 2.76359 | − | 3.29352i | 0.110899 | − | 0.132165i | ||||
\(622\) | 11.1158 | + | 12.7627i | 0.445705 | + | 0.511738i | ||||
\(623\) | −57.0776 | + | 20.7746i | −2.28677 | + | 0.832315i | ||||
\(624\) | −0.650755 | + | 0.164892i | −0.0260511 | + | 0.00660094i | ||||
\(625\) | −4.49966 | − | 25.5188i | −0.179986 | − | 1.02075i | ||||
\(626\) | −10.8767 | + | 19.6663i | −0.434720 | + | 0.786023i | ||||
\(627\) | 4.71562 | + | 2.30353i | 0.188324 | + | 0.0919943i | ||||
\(628\) | −8.03472 | − | 12.8038i | −0.320620 | − | 0.510928i | ||||
\(629\) | 4.01473 | − | 0.707906i | 0.160078 | − | 0.0282261i | ||||
\(630\) | −37.8145 | + | 7.38784i | −1.50657 | + | 0.294339i | ||||
\(631\) | −0.896513 | − | 2.46315i | −0.0356896 | − | 0.0980565i | 0.920568 | − | 0.390583i | \(-0.127726\pi\) |
−0.956258 | + | 0.292526i | \(0.905504\pi\) | |||||||
\(632\) | −27.9578 | − | 8.46013i | −1.11210 | − | 0.336526i | ||||
\(633\) | −0.807698 | − | 0.677739i | −0.0321031 | − | 0.0269377i | ||||
\(634\) | 20.3990 | − | 12.2834i | 0.810146 | − | 0.487837i | ||||
\(635\) | −10.2403 | − | 17.7368i | −0.406375 | − | 0.703863i | ||||
\(636\) | −0.147469 | − | 0.363003i | −0.00584752 | − | 0.0143940i | ||||
\(637\) | −5.62782 | − | 0.992337i | −0.222982 | − | 0.0393178i | ||||
\(638\) | 50.0966 | − | 0.922244i | 1.98334 | − | 0.0365120i | ||||
\(639\) | 19.2515 | − | 33.3446i | 0.761579 | − | 1.31909i | ||||
\(640\) | 22.8858 | − | 11.8541i | 0.904643 | − | 0.468574i | ||||
\(641\) | 12.1986 | − | 33.5152i | 0.481814 | − | 1.32377i | −0.426123 | − | 0.904665i | \(-0.640121\pi\) |
0.907937 | − | 0.419107i | \(-0.137657\pi\) | |||||||
\(642\) | −0.0320218 | + | 0.203433i | −0.00126380 | + | 0.00802887i | ||||
\(643\) | 15.4800 | + | 18.4484i | 0.610472 | + | 0.727532i | 0.979401 | − | 0.201925i | \(-0.0647198\pi\) |
−0.368929 | + | 0.929458i | \(0.620275\pi\) | |||||||
\(644\) | −15.3438 | + | 13.8687i | −0.604630 | + | 0.546504i | ||||
\(645\) | − | 2.98818i | − | 0.117660i | ||||||
\(646\) | 19.6535 | + | 5.25893i | 0.773257 | + | 0.206910i | ||||
\(647\) | 28.8314i | 1.13348i | 0.823897 | + | 0.566740i | \(0.191796\pi\) | ||||
−0.823897 | + | 0.566740i | \(0.808204\pi\) | |||||||
\(648\) | −5.32064 | − | 22.7490i | −0.209014 | − | 0.893665i | ||||
\(649\) | −5.69528 | − | 6.78737i | −0.223559 | − | 0.266428i | ||||
\(650\) | −0.154397 | − | 0.0243031i | −0.00605595 | − | 0.000953247i | ||||
\(651\) | 0.312537 | − | 0.858689i | 0.0122493 | − | 0.0336547i | ||||
\(652\) | 32.8225 | + | 4.54906i | 1.28543 | + | 0.178155i | ||||
\(653\) | −21.8194 | + | 37.7923i | −0.853859 | + | 1.47893i | 0.0238403 | + | 0.999716i | \(0.492411\pi\) |
−0.877699 | + | 0.479212i | \(0.840923\pi\) | |||||||
\(654\) | −0.0468988 | − | 2.54756i | −0.00183389 | − | 0.0996173i | ||||
\(655\) | −30.9442 | − | 5.45629i | −1.20909 | − | 0.213195i | ||||
\(656\) | 16.4182 | − | 22.7801i | 0.641024 | − | 0.889412i | ||||
\(657\) | −16.3553 | − | 28.3283i | −0.638083 | − | 1.10519i | ||||
\(658\) | −14.7202 | − | 24.4457i | −0.573853 | − | 0.952991i | ||||
\(659\) | 30.8465 | + | 25.8833i | 1.20161 | + | 1.00827i | 0.999583 | + | 0.0288882i | \(0.00919669\pi\) |
0.202025 | + | 0.979380i | \(0.435248\pi\) | |||||||
\(660\) | −5.36365 | + | 1.15078i | −0.208780 | + | 0.0447940i | ||||
\(661\) | 5.51264 | + | 15.1459i | 0.214417 | + | 0.589106i | 0.999543 | − | 0.0302304i | \(-0.00962411\pi\) |
−0.785126 | + | 0.619336i | \(0.787402\pi\) | |||||||
\(662\) | 3.94951 | + | 20.2155i | 0.153502 | + | 0.785696i | ||||
\(663\) | 0.545489 | − | 0.0961845i | 0.0211851 | − | 0.00373550i | ||||
\(664\) | 0.233288 | + | 4.22026i | 0.00905331 | + | 0.163778i | ||||
\(665\) | −33.7652 | + | 22.7449i | −1.30936 | + | 0.882008i | ||||
\(666\) | −4.45906 | − | 2.46614i | −0.172785 | − | 0.0955609i | ||||
\(667\) | −3.71286 | − | 21.0567i | −0.143763 | − | 0.815319i | ||||
\(668\) | −14.6843 | − | 4.74026i | −0.568152 | − | 0.183406i | ||||
\(669\) | 7.57848 | − | 2.75834i | 0.293001 | − | 0.106644i | ||||
\(670\) | −34.2337 | + | 29.8163i | −1.32256 | + | 1.15190i | ||||
\(671\) | −8.32598 | + | 9.92251i | −0.321421 | + | 0.383054i | ||||
\(672\) | −0.614022 | − | 6.65267i | −0.0236864 | − | 0.256632i | ||||
\(673\) | −20.0030 | + | 11.5487i | −0.771058 | + | 0.445171i | −0.833252 | − | 0.552894i | \(-0.813524\pi\) |
0.0621939 | + | 0.998064i | \(0.480190\pi\) | |||||||
\(674\) | 0.355392 | − | 0.439730i | 0.0136892 | − | 0.0169378i | ||||
\(675\) | −0.0561477 | + | 0.318430i | −0.00216113 | + | 0.0122564i | ||||
\(676\) | −11.8449 | + | 22.3799i | −0.455572 | + | 0.860765i | ||||
\(677\) | 25.2730 | + | 14.5914i | 0.971321 | + | 0.560792i | 0.899639 | − | 0.436635i | \(-0.143830\pi\) |
0.0716821 | + | 0.997428i | \(0.477163\pi\) | |||||||
\(678\) | 1.06358 | + | 2.76284i | 0.0408465 | + | 0.106106i | ||||
\(679\) | −39.5310 | − | 14.3881i | −1.51706 | − | 0.552165i | ||||
\(680\) | −19.5514 | + | 8.36518i | −0.749761 | + | 0.320790i | ||||
\(681\) | −1.38285 | + | 1.16035i | −0.0529910 | + | 0.0444648i | ||||
\(682\) | −1.48482 | + | 4.32564i | −0.0568568 | + | 0.165637i | ||||
\(683\) | 32.3508 | 1.23787 | 0.618934 | − | 0.785443i | \(-0.287565\pi\) | ||||
0.618934 | + | 0.785443i | \(0.287565\pi\) | |||||||
\(684\) | −14.9740 | − | 20.5539i | −0.572546 | − | 0.785897i | ||||
\(685\) | 17.0499 | 0.651444 | ||||||||
\(686\) | 5.28731 | − | 15.4032i | 0.201871 | − | 0.588097i | ||||
\(687\) | −2.78996 | + | 2.34106i | −0.106444 | + | 0.0893170i | ||||
\(688\) | −18.1212 | − | 1.83473i | −0.690862 | − | 0.0699483i | ||||
\(689\) | 0.372319 | + | 0.135513i | 0.0141842 | + | 0.00516263i | ||||
\(690\) | 0.841002 | + | 2.18465i | 0.0320164 | + | 0.0831683i | ||||
\(691\) | 13.6086 | + | 7.85694i | 0.517696 | + | 0.298892i | 0.735992 | − | 0.676991i | \(-0.236716\pi\) |
−0.218295 | + | 0.975883i | \(0.570050\pi\) | |||||||
\(692\) | −16.4890 | − | 8.72703i | −0.626816 | − | 0.331752i | ||||
\(693\) | 8.67987 | − | 49.2260i | 0.329721 | − | 1.86994i | ||||
\(694\) | 16.6046 | − | 20.5450i | 0.630302 | − | 0.779878i | ||||
\(695\) | 38.0136 | − | 21.9471i | 1.44194 | − | 0.832502i | ||||
\(696\) | 6.16286 | + | 3.11795i | 0.233603 | + | 0.118186i | ||||
\(697\) | −14.8926 | + | 17.7483i | −0.564097 | + | 0.672265i | ||||
\(698\) | −7.42102 | + | 6.46344i | −0.280890 | + | 0.244645i | ||||
\(699\) | 1.82246 | − | 0.663319i | 0.0689316 | − | 0.0250890i | ||||
\(700\) | 0.477843 | − | 1.48025i | 0.0180608 | − | 0.0559483i | ||||
\(701\) | 3.32956 | + | 18.8829i | 0.125756 | + | 0.713196i | 0.980856 | + | 0.194734i | \(0.0623842\pi\) |
−0.855100 | + | 0.518462i | \(0.826505\pi\) | |||||||
\(702\) | −1.22896 | − | 0.679690i | −0.0463840 | − | 0.0256532i | ||||
\(703\) | −5.35431 | − | 0.566072i | −0.201942 | − | 0.0213498i | ||||
\(704\) | 3.68539 | + | 33.2332i | 0.138898 | + | 1.25252i | ||||
\(705\) | −3.18068 | + | 0.560840i | −0.119791 | + | 0.0211225i | ||||
\(706\) | −1.53446 | − | 7.85412i | −0.0577503 | − | 0.295594i | ||||
\(707\) | −12.2702 | − | 33.7121i | −0.461468 | − | 1.26787i | ||||
\(708\) | −0.256210 | − | 1.19416i | −0.00962895 | − | 0.0448795i | ||||
\(709\) | −13.0269 | − | 10.9309i | −0.489235 | − | 0.410517i | 0.364517 | − | 0.931197i | \(-0.381234\pi\) |
−0.853752 | + | 0.520680i | \(0.825679\pi\) | |||||||
\(710\) | 21.9367 | + | 36.4300i | 0.823268 | + | 1.36719i | ||||
\(711\) | −15.0623 | − | 26.0887i | −0.564881 | − | 0.978403i | ||||
\(712\) | 41.6063 | + | 4.98778i | 1.55926 | + | 0.186925i | ||||
\(713\) | 1.92197 | + | 0.338895i | 0.0719784 | + | 0.0126917i | ||||
\(714\) | 0.101463 | + | 5.51150i | 0.00379716 | + | 0.206263i | ||||
\(715\) | 2.77365 | − | 4.80411i | 0.103729 | − | 0.179663i | ||||
\(716\) | −0.434570 | + | 3.13552i | −0.0162407 | + | 0.117180i | ||||
\(717\) | −0.992628 | + | 2.72722i | −0.0370704 | + | 0.101850i | ||||
\(718\) | −31.4530 | − | 4.95091i | −1.17381 | − | 0.184766i | ||||
\(719\) | −25.6259 | − | 30.5397i | −0.955684 | − | 1.13894i | −0.990217 | − | 0.139536i | \(-0.955439\pi\) |
0.0345328 | − | 0.999404i | \(-0.489006\pi\) | |||||||
\(720\) | 25.5790 | + | 7.22914i | 0.953273 | + | 0.269414i | ||||
\(721\) | 36.0852i | 1.34388i | ||||||||
\(722\) | −23.0284 | − | 13.8453i | −0.857029 | − | 0.515269i | ||||
\(723\) | − | 2.43539i | − | 0.0905733i | ||||||
\(724\) | 17.8474 | + | 19.7457i | 0.663294 | + | 0.733843i | ||||
\(725\) | 1.03362 | + | 1.23182i | 0.0383877 | + | 0.0457487i | ||||
\(726\) | 0.409796 | − | 2.60342i | 0.0152090 | − | 0.0966221i | ||||
\(727\) | −2.73410 | + | 7.51188i | −0.101402 | + | 0.278600i | −0.980011 | − | 0.198941i | \(-0.936250\pi\) |
0.878609 | + | 0.477541i | \(0.158472\pi\) | |||||||
\(728\) | 5.40717 | + | 4.05038i | 0.200403 | + | 0.150117i | ||||
\(729\) | 11.3108 | − | 19.5909i | 0.418919 | − | 0.725589i | ||||
\(730\) | 36.1213 | − | 0.664969i | 1.33691 | − | 0.0246116i | ||||
\(731\) | 14.7998 | + | 2.60961i | 0.547392 | + | 0.0965199i | ||||
\(732\) | −1.65420 | + | 0.672013i | −0.0611408 | + | 0.0248383i | ||||
\(733\) | 14.5869 | + | 25.2652i | 0.538779 | + | 0.933193i | 0.998970 | + | 0.0453728i | \(0.0144476\pi\) |
−0.460191 | + | 0.887820i | \(0.652219\pi\) | |||||||
\(734\) | −36.4735 | + | 21.9629i | −1.34626 | + | 0.810665i | ||||
\(735\) | −4.93100 | − | 4.13760i | −0.181883 | − | 0.152618i | ||||
\(736\) | 13.7647 | − | 3.75870i | 0.507374 | − | 0.138548i | ||||
\(737\) | −20.1436 | − | 55.3440i | −0.741998 | − | 2.03862i | ||||
\(738\) | 28.4222 | − | 5.55286i | 1.04624 | − | 0.204404i | ||||
\(739\) | −18.2045 | + | 3.20994i | −0.669663 | + | 0.118080i | −0.498135 | − | 0.867100i | \(-0.665981\pi\) |
−0.171528 | + | 0.985179i | \(0.554870\pi\) | |||||||
\(740\) | 4.76698 | − | 2.99140i | 0.175238 | − | 0.109966i | ||||
\(741\) | −0.727500 | − | 0.0769132i | −0.0267254 | − | 0.00282548i | ||||
\(742\) | −1.90836 | + | 3.45053i | −0.0700581 | + | 0.126673i | ||||
\(743\) | −1.20332 | − | 6.82439i | −0.0441457 | − | 0.250363i | 0.954746 | − | 0.297421i | \(-0.0961264\pi\) |
−0.998892 | + | 0.0470583i | \(0.985015\pi\) | |||||||
\(744\) | −0.459825 | + | 0.431260i | −0.0168580 | + | 0.0158108i | ||||
\(745\) | −4.36969 | + | 1.59044i | −0.160093 | + | 0.0582690i | ||||
\(746\) | 16.1062 | + | 18.4924i | 0.589690 | + | 0.677055i | ||||
\(747\) | −2.80197 | + | 3.33926i | −0.102519 | + | 0.122177i | ||||
\(748\) | −1.01543 | − | 27.5700i | −0.0371280 | − | 1.00806i | ||||
\(749\) | 1.79484 | − | 1.03625i | 0.0655819 | − | 0.0378637i | ||||
\(750\) | 3.47209 | + | 2.80617i | 0.126783 | + | 0.102467i | ||||
\(751\) | −1.76031 | + | 9.98320i | −0.0642345 | + | 0.364292i | 0.935699 | + | 0.352798i | \(0.114770\pi\) |
−0.999934 | + | 0.0114939i | \(0.996341\pi\) | |||||||
\(752\) | 1.44817 | + | 19.6329i | 0.0528093 | + | 0.715938i | ||||
\(753\) | −2.12744 | − | 1.22828i | −0.0775283 | − | 0.0447610i | ||||
\(754\) | −6.51797 | + | 2.50915i | −0.237370 | + | 0.0913779i | ||||
\(755\) | −20.5908 | − | 7.49442i | −0.749374 | − | 0.272750i | ||||
\(756\) | 8.58372 | − | 11.0300i | 0.312187 | − | 0.401156i | ||||
\(757\) | −15.0952 | + | 12.6664i | −0.548646 | + | 0.460368i | −0.874482 | − | 0.485058i | \(-0.838799\pi\) |
0.325836 | + | 0.945426i | \(0.394354\pi\) | |||||||
\(758\) | −17.4075 | − | 5.97530i | −0.632267 | − | 0.217033i | ||||
\(759\) | −3.03697 | −0.110235 | ||||||||
\(760\) | 27.8691 | − | 3.48557i | 1.01092 | − | 0.126435i | ||||
\(761\) | 19.6304 | 0.711603 | 0.355801 | − | 0.934562i | \(-0.384208\pi\) | ||||
0.355801 | + | 0.934562i | \(0.384208\pi\) | |||||||
\(762\) | 3.46414 | + | 1.18911i | 0.125493 | + | 0.0430767i | ||||
\(763\) | −19.6430 | + | 16.4825i | −0.711126 | + | 0.596706i | ||||
\(764\) | −15.5754 | + | 20.0142i | −0.563500 | + | 0.724090i | ||||
\(765\) | −20.6092 | − | 7.50113i | −0.745126 | − | 0.271204i | ||||
\(766\) | 37.8549 | − | 14.5726i | 1.36775 | − | 0.526528i | ||||
\(767\) | 1.06959 | + | 0.617527i | 0.0386206 | + | 0.0222976i | ||||
\(768\) | −1.69393 | + | 4.28653i | −0.0611245 | + | 0.154677i | ||||
\(769\) | −6.67065 | + | 37.8311i | −0.240550 | + | 1.36423i | 0.590055 | + | 0.807363i | \(0.299106\pi\) |
−0.830605 | + | 0.556863i | \(0.812005\pi\) | |||||||
\(770\) | 42.9366 | + | 34.7016i | 1.54733 | + | 1.25056i | ||||
\(771\) | −0.684677 | + | 0.395298i | −0.0246580 | + | 0.0142363i | ||||
\(772\) | −1.61697 | − | 43.9021i | −0.0581958 | − | 1.58007i | ||||
\(773\) | −10.1209 | + | 12.0616i | −0.364024 | + | 0.433827i | −0.916704 | − | 0.399567i | \(-0.869161\pi\) |
0.552680 | + | 0.833393i | \(0.313605\pi\) | |||||||
\(774\) | −12.3371 | − | 14.1649i | −0.443448 | − | 0.509147i | ||||
\(775\) | −0.137923 | + | 0.0501998i | −0.00495434 | + | 0.00180323i | ||||
\(776\) | 19.8537 | + | 21.1687i | 0.712707 | + | 0.759912i | ||||
\(777\) | −0.253323 | − | 1.43666i | −0.00908790 | − | 0.0515400i | ||||
\(778\) | 22.0720 | − | 39.9086i | 0.791318 | − | 1.43079i | ||||
\(779\) | 25.3786 | − | 17.0955i | 0.909283 | − | 0.612511i | ||||
\(780\) | 0.647698 | − | 0.406447i | 0.0231913 | − | 0.0145531i | ||||
\(781\) | −54.3306 | + | 9.57994i | −1.94410 | + | 0.342797i | ||||
\(782\) | −11.5546 | + | 2.25743i | −0.413191 | + | 0.0807254i | ||||
\(783\) | 4.94174 | + | 13.5773i | 0.176603 | + | 0.485214i | ||||
\(784\) | −28.1191 | + | 27.3625i | −1.00425 | + | 0.977231i | ||||
\(785\) | 13.1896 | + | 11.0674i | 0.470758 | + | 0.395013i | ||||
\(786\) | 4.81375 | − | 2.89864i | 0.171701 | − | 0.103391i | ||||
\(787\) | −11.5582 | − | 20.0194i | −0.412005 | − | 0.713614i | 0.583104 | − | 0.812398i | \(-0.301838\pi\) |
−0.995109 | + | 0.0987836i | \(0.968505\pi\) | |||||||
\(788\) | 8.41956 | − | 3.42042i | 0.299934 | − | 0.121848i | ||||
\(789\) | −0.627377 | − | 0.110624i | −0.0223352 | − | 0.00393830i | ||||
\(790\) | 33.2656 | − | 0.612398i | 1.18354 | − | 0.0217881i | ||||
\(791\) | 14.8967 | − | 25.8019i | 0.529667 | − | 0.917409i | ||||
\(792\) | −20.6742 | + | 27.5996i | −0.734626 | + | 0.980709i | ||||
\(793\) | 0.617530 | − | 1.69665i | 0.0219291 | − | 0.0602498i | ||||
\(794\) | −3.63108 | + | 23.0681i | −0.128862 | + | 0.818657i | ||||
\(795\) | 0.286872 | + | 0.341881i | 0.0101743 | + | 0.0121253i | ||||
\(796\) | 16.3389 | + | 18.0768i | 0.579118 | + | 0.640714i | ||||
\(797\) | − | 54.7609i | − | 1.93973i | −0.243642 | − | 0.969865i | \(-0.578342\pi\) | ||
0.243642 | − | 0.969865i | \(-0.421658\pi\) | |||||||
\(798\) | 1.88190 | − | 7.03297i | 0.0666184 | − | 0.248964i | ||||
\(799\) | − | 16.2430i | − | 0.574638i | ||||||
\(800\) | −0.755166 | + | 0.762404i | −0.0266991 | + | 0.0269551i | ||||
\(801\) | 27.7791 | + | 33.1059i | 0.981528 | + | 1.16974i | ||||
\(802\) | −31.2397 | − | 4.91734i | −1.10311 | − | 0.173637i | ||||
\(803\) | −16.0302 | + | 44.0426i | −0.565693 | + | 1.55423i | ||||
\(804\) | 1.11453 | − | 8.04159i | 0.0393065 | − | 0.283605i | ||||
\(805\) | 11.7792 | − | 20.4023i | 0.415164 | − | 0.719085i | ||||
\(806\) | −0.0117339 | − | 0.637386i | −0.000413308 | − | 0.0224510i | ||||
\(807\) | 4.25627 | + | 0.750495i | 0.149828 | + | 0.0264187i | ||||
\(808\) | −2.94596 | + | 24.5741i | −0.103639 | + | 0.864515i | ||||
\(809\) | −4.43960 | − | 7.68961i | −0.156088 | − | 0.270352i | 0.777367 | − | 0.629048i | \(-0.216555\pi\) |
−0.933455 | + | 0.358695i | \(0.883222\pi\) | |||||||
\(810\) | 13.7276 | + | 22.7974i | 0.482340 | + | 0.801017i | ||||
\(811\) | 37.3268 | + | 31.3209i | 1.31072 | + | 1.09982i | 0.988185 | + | 0.153268i | \(0.0489796\pi\) |
0.322536 | + | 0.946557i | \(0.395465\pi\) | |||||||
\(812\) | −14.5810 | − | 67.9603i | −0.511692 | − | 2.38494i | ||||
\(813\) | −2.52397 | − | 6.93456i | −0.0885196 | − | 0.243206i | ||||
\(814\) | 1.39996 | + | 7.16568i | 0.0490687 | + | 0.251157i | ||||
\(815\) | −37.1703 | + | 6.55412i | −1.30202 | + | 0.229581i | ||||
\(816\) | 1.65405 | − | 3.42440i | 0.0579032 | − | 0.119878i | ||||
\(817\) | −17.8340 | − | 8.71171i | −0.623931 | − | 0.304784i | ||||
\(818\) | −26.8835 | − | 14.8683i | −0.939960 | − | 0.519857i | ||||
\(819\) | 1.20991 | + | 6.86172i | 0.0422775 | + | 0.239768i | ||||
\(820\) | −9.82569 | + | 30.4378i | −0.343128 | + | 1.06294i | ||||
\(821\) | 13.9797 | − | 5.08819i | 0.487894 | − | 0.177579i | −0.0863471 | − | 0.996265i | \(-0.527519\pi\) |
0.574241 | + | 0.818686i | \(0.305297\pi\) | |||||||
\(822\) | −2.29922 | + | 2.00254i | −0.0801946 | + | 0.0698465i | ||||
\(823\) | 1.64912 | − | 1.96535i | 0.0574848 | − | 0.0685077i | −0.736536 | − | 0.676399i | \(-0.763540\pi\) |
0.794021 | + | 0.607891i | \(0.207984\pi\) | |||||||
\(824\) | 11.2384 | − | 22.2135i | 0.391508 | − | 0.773845i | ||||
\(825\) | 0.197800 | − | 0.114200i | 0.00688651 | − | 0.00397593i | ||||
\(826\) | −7.72599 | + | 9.55943i | −0.268821 | + | 0.332615i | ||||
\(827\) | 0.878109 | − | 4.98000i | 0.0305348 | − | 0.173172i | −0.965727 | − | 0.259562i | \(-0.916422\pi\) |
0.996261 | + | 0.0863899i | \(0.0275331\pi\) | |||||||
\(828\) | 13.0062 | + | 6.88375i | 0.451998 | + | 0.239227i | ||||
\(829\) | 43.3520 | + | 25.0293i | 1.50568 | + | 0.869303i | 0.999978 | + | 0.00659184i | \(0.00209826\pi\) |
0.505698 | + | 0.862711i | \(0.331235\pi\) | |||||||
\(830\) | −1.72962 | − | 4.49299i | −0.0600359 | − | 0.155954i | ||||
\(831\) | −2.29860 | − | 0.836621i | −0.0797375 | − | 0.0290221i | ||||
\(832\) | −2.06712 | − | 4.17738i | −0.0716646 | − | 0.144824i | ||||
\(833\) | 24.7989 | − | 20.8088i | 0.859232 | − | 0.720982i | ||||
\(834\) | −2.54850 | + | 7.42437i | −0.0882472 | + | 0.257085i | ||||
\(835\) | 17.5760 | 0.608241 | ||||||||
\(836\) | −8.76908 | + | 35.3661i | −0.303285 | + | 1.22316i | ||||
\(837\) | −1.31882 | −0.0455850 | ||||||||
\(838\) | 6.05901 | − | 17.6513i | 0.209305 | − | 0.609755i | ||||
\(839\) | 33.0449 | − | 27.7279i | 1.14084 | − | 0.957275i | 0.141370 | − | 0.989957i | \(-0.454849\pi\) |
0.999466 | + | 0.0326821i | \(0.0104049\pi\) | |||||||
\(840\) | 2.99346 | + | 6.99642i | 0.103284 | + | 0.241399i | ||||
\(841\) | 40.2710 | + | 14.6575i | 1.38866 | + | 0.505430i | ||||
\(842\) | −3.63007 | − | 9.42975i | −0.125100 | − | 0.324971i | ||||
\(843\) | −0.287167 | − | 0.165796i | −0.00989056 | − | 0.00571032i | ||||
\(844\) | 3.42434 | − | 6.47000i | 0.117871 | − | 0.222706i | ||||
\(845\) | 5.00835 | − | 28.4038i | 0.172292 | − | 0.977119i | ||||
\(846\) | −12.7619 | + | 15.7904i | −0.438764 | + | 0.542887i | ||||
\(847\) | −22.9693 | + | 13.2613i | −0.789234 | + | 0.455665i | ||||
\(848\) | 2.24940 | − | 1.52976i | 0.0772447 | − | 0.0525321i | ||||
\(849\) | −1.73779 | + | 2.07102i | −0.0596410 | + | 0.0710773i | ||||
\(850\) | 0.667672 | − | 0.581517i | 0.0229009 | − | 0.0199459i | ||||
\(851\) | 2.92776 | − | 1.06562i | 0.100362 | − | 0.0365288i | ||||
\(852\) | −7.23697 | − | 2.33618i | −0.247934 | − | 0.0800361i | ||||
\(853\) | −0.190369 | − | 1.07963i | −0.00651809 | − | 0.0369659i | 0.981375 | − | 0.192101i | \(-0.0615300\pi\) |
−0.987893 | + | 0.155135i | \(0.950419\pi\) | |||||||
\(854\) | 15.7240 | + | 8.69636i | 0.538064 | + | 0.297583i | ||||
\(855\) | 23.4235 | + | 17.0400i | 0.801066 | + | 0.582757i | ||||
\(856\) | −1.42761 | + | 0.0789152i | −0.0487946 | + | 0.00269727i | ||||
\(857\) | 17.0456 | − | 3.00560i | 0.582267 | − | 0.102669i | 0.125246 | − | 0.992126i | \(-0.460028\pi\) |
0.457020 | + | 0.889456i | \(0.348917\pi\) | |||||||
\(858\) | 0.190216 | + | 0.973615i | 0.00649385 | + | 0.0332387i | ||||
\(859\) | 2.68429 | + | 7.37504i | 0.0915869 | + | 0.251633i | 0.977025 | − | 0.213124i | \(-0.0683639\pi\) |
−0.885438 | + | 0.464757i | \(0.846142\pi\) | |||||||
\(860\) | 20.2847 | − | 4.35212i | 0.691703 | − | 0.148406i | ||||
\(861\) | 6.35119 | + | 5.32928i | 0.216448 | + | 0.181621i | ||||
\(862\) | −10.4717 | − | 17.3903i | −0.356669 | − | 0.592317i | ||||
\(863\) | 14.7692 | + | 25.5810i | 0.502750 | + | 0.870789i | 0.999995 | + | 0.00317851i | \(0.00101175\pi\) |
−0.497245 | + | 0.867610i | \(0.665655\pi\) | |||||||
\(864\) | −8.71920 | + | 4.11658i | −0.296633 | + | 0.140049i | ||||
\(865\) | 20.9272 | + | 3.69003i | 0.711547 | + | 0.125465i | ||||
\(866\) | −0.756383 | − | 41.0870i | −0.0257030 | − | 1.39619i | ||||
\(867\) | 0.879681 | − | 1.52365i | 0.0298755 | − | 0.0517459i | ||||
\(868\) | 6.28424 | + | 0.870970i | 0.213301 | + | 0.0295626i | ||||
\(869\) | −14.7629 | + | 40.5607i | −0.500796 | + | 1.37593i | ||||
\(870\) | −7.77136 | − | 1.22326i | −0.263474 | − | 0.0414725i | ||||
\(871\) | 5.27704 | + | 6.28893i | 0.178806 | + | 0.213092i | ||||
\(872\) | 17.2253 | − | 4.02874i | 0.583323 | − | 0.136430i | ||||
\(873\) | 29.9311i | 1.01302i | ||||||||
\(874\) | 15.4902 | + | 1.34987i | 0.523965 | + | 0.0456602i | ||||
\(875\) | − | 44.9274i | − | 1.51882i | ||||||
\(876\) | −4.79294 | + | 4.33217i | −0.161938 | + | 0.146370i | ||||
\(877\) | −18.0457 | − | 21.5060i | −0.609359 | − | 0.726206i | 0.369843 | − | 0.929094i | \(-0.379412\pi\) |
−0.979202 | + | 0.202888i | \(0.934967\pi\) | |||||||
\(878\) | 6.02091 | − | 38.2506i | 0.203196 | − | 1.29090i | ||||
\(879\) | −1.81671 | + | 4.99138i | −0.0612762 | + | 0.168355i | ||||
\(880\) | −15.6237 | − | 34.7341i | −0.526675 | − | 1.17089i | ||||
\(881\) | −0.307651 | + | 0.532868i | −0.0103650 | + | 0.0179528i | −0.871161 | − | 0.490997i | \(-0.836633\pi\) |
0.860796 | + | 0.508950i | \(0.169966\pi\) | |||||||
\(882\) | −40.4571 | + | 0.744788i | −1.36226 | + | 0.0250783i | ||||
\(883\) | −20.1205 | − | 3.54779i | −0.677110 | − | 0.119393i | −0.175491 | − | 0.984481i | \(-0.556151\pi\) |
−0.501620 | + | 0.865088i | \(0.667262\pi\) | |||||||
\(884\) | 1.44741 | + | 3.56287i | 0.0486815 | + | 0.119832i | ||||
\(885\) | 0.695581 | + | 1.20478i | 0.0233817 | + | 0.0404983i | ||||
\(886\) | 17.4274 | − | 10.4941i | 0.585484 | − | 0.352555i | ||||
\(887\) | 21.2538 | + | 17.8341i | 0.713634 | + | 0.598810i | 0.925616 | − | 0.378463i | \(-0.123547\pi\) |
−0.211982 | + | 0.977274i | \(0.567992\pi\) | |||||||
\(888\) | −0.291494 | + | 0.963286i | −0.00978190 | + | 0.0323257i | ||||
\(889\) | −12.6064 | − | 34.6359i | −0.422807 | − | 1.16165i | ||||
\(890\) | −46.8451 | + | 9.15215i | −1.57025 | + | 0.306781i | ||||
\(891\) | −33.9993 | + | 5.99499i | −1.13902 | + | 0.200840i | ||||
\(892\) | 29.7621 | + | 47.4277i | 0.996509 | + | 1.58800i | ||||
\(893\) | −5.92574 | + | 20.6179i | −0.198297 | + | 0.689952i | ||||
\(894\) | 0.402464 | − | 0.727700i | 0.0134604 | − | 0.0243379i | ||||
\(895\) | −0.626113 | − | 3.55087i | −0.0209287 | − | 0.118692i | ||||
\(896\) | 44.2662 | − | 13.8574i | 1.47883 | − | 0.462944i | ||||
\(897\) | 0.397800 | − | 0.144787i | 0.0132821 | − | 0.00483431i | ||||
\(898\) | −21.0304 | − | 24.1461i | −0.701792 | − | 0.805766i | ||||
\(899\) | −4.21584 | + | 5.02425i | −0.140606 | + | 0.167568i | ||||
\(900\) | −1.10596 | + | 0.0407337i | −0.0368652 | + | 0.00135779i | ||||
\(901\) | −1.94379 | + | 1.12225i | −0.0647571 | + | 0.0373876i | ||||
\(902\) | −32.2721 | − | 26.0825i | −1.07454 | − | 0.868451i | ||||
\(903\) | 0.933843 | − | 5.29609i | 0.0310764 | − | 0.176243i | ||||
\(904\) | −17.2060 | + | 11.2438i | −0.572263 | + | 0.373965i | ||||
\(905\) | −26.2554 | − | 15.1585i | −0.872758 | − | 0.503887i | ||||
\(906\) | 3.65694 | − | 1.40777i | 0.121494 | − | 0.0467701i | ||||
\(907\) | −28.1356 | − | 10.2405i | −0.934228 | − | 0.340031i | −0.170344 | − | 0.985385i | \(-0.554488\pi\) |
−0.763884 | + | 0.645354i | \(0.776710\pi\) | |||||||
\(908\) | −9.89088 | − | 7.69726i | −0.328240 | − | 0.255442i | ||||
\(909\) | −19.5535 | + | 16.4073i | −0.648549 | + | 0.544197i | ||||
\(910\) | −7.27849 | − | 2.49842i | −0.241280 | − | 0.0828218i | ||||
\(911\) | −30.9988 | −1.02704 | −0.513518 | − | 0.858079i | \(-0.671658\pi\) | ||||
−0.513518 | + | 0.858079i | \(0.671658\pi\) | |||||||
\(912\) | −3.34883 | + | 3.74330i | −0.110891 | + | 0.123953i | ||||
\(913\) | 6.24587 | 0.206708 | ||||||||
\(914\) | 27.2468 | + | 9.35276i | 0.901244 | + | 0.309362i | ||||
\(915\) | 1.55794 | − | 1.30727i | 0.0515040 | − | 0.0432170i | ||||
\(916\) | −19.9553 | − | 15.5295i | −0.659341 | − | 0.513111i | ||||
\(917\) | −53.1386 | − | 19.3409i | −1.75479 | − | 0.638692i | ||||
\(918\) | 7.42456 | − | 2.85815i | 0.245047 | − | 0.0943330i | ||||
\(919\) | 19.5649 | + | 11.2958i | 0.645385 | + | 0.372613i | 0.786686 | − | 0.617353i | \(-0.211795\pi\) |
−0.141301 | + | 0.989967i | \(0.545128\pi\) | |||||||
\(920\) | −13.6052 | + | 8.89081i | −0.448552 | + | 0.293121i | ||||
\(921\) | −0.279711 | + | 1.58632i | −0.00921678 | + | 0.0522709i | ||||
\(922\) | −20.1411 | − | 16.2781i | −0.663311 | − | 0.536091i | ||||
\(923\) | 6.65981 | − | 3.84504i | 0.219210 | − | 0.126561i | ||||
\(924\) | −9.86586 | + | 0.363371i | −0.324563 | + | 0.0119540i | ||||
\(925\) | −0.150616 | + | 0.179497i | −0.00495223 | + | 0.00590184i | ||||
\(926\) | −9.34395 | − | 10.7283i | −0.307061 | − | 0.352554i | ||||
\(927\) | 24.1260 | − | 8.78115i | 0.792402 | − | 0.288411i | ||||
\(928\) | −12.1898 | + | 46.3766i | −0.400149 | + | 1.52239i | ||||
\(929\) | −2.89978 | − | 16.4455i | −0.0951388 | − | 0.539559i | −0.994705 | − | 0.102774i | \(-0.967228\pi\) |
0.899566 | − | 0.436785i | \(-0.143883\pi\) | |||||||
\(930\) | 0.347529 | − | 0.628372i | 0.0113959 | − | 0.0206051i | ||||
\(931\) | −39.0696 | + | 17.3663i | −1.28046 | + | 0.569158i | ||||
\(932\) | 7.15712 | + | 11.4053i | 0.234439 | + | 0.373594i | ||||
\(933\) | 3.39512 | − | 0.598652i | 0.111151 | − | 0.0195990i | ||||
\(934\) | 7.28131 | − | 1.42255i | 0.238252 | − | 0.0465474i | ||||
\(935\) | 10.7479 | + | 29.5296i | 0.351494 | + | 0.965722i | ||||
\(936\) | 1.39222 | − | 4.60080i | 0.0455061 | − | 0.150382i | ||||
\(937\) | −39.7274 | − | 33.3352i | −1.29784 | − | 1.08901i | −0.990515 | − | 0.137408i | \(-0.956123\pi\) |
−0.307322 | − | 0.951606i | \(-0.599433\pi\) | |||||||
\(938\) | −69.9919 | + | 42.1463i | −2.28532 | + | 1.37613i | ||||
\(939\) | 2.28889 | + | 3.96447i | 0.0746950 | + | 0.129376i | ||||
\(940\) | −8.43965 | − | 20.7747i | −0.275271 | − | 0.677595i | ||||
\(941\) | −25.8232 | − | 4.55332i | −0.841811 | − | 0.148434i | −0.263917 | − | 0.964545i | \(-0.585014\pi\) |
−0.577895 | + | 0.816111i | \(0.696126\pi\) | |||||||
\(942\) | −3.07854 | + | 0.0566738i | −0.100304 | + | 0.00184653i | ||||
\(943\) | −8.85353 | + | 15.3348i | −0.288311 | + | 0.499369i | ||||
\(944\) | 7.73321 | − | 3.47847i | 0.251695 | − | 0.113214i | ||||
\(945\) | −5.44489 | + | 14.9597i | −0.177122 | + | 0.486639i | ||||
\(946\) | −4.18505 | + | 26.5875i | −0.136068 | + | 0.864433i | ||||
\(947\) | 9.64551 | + | 11.4951i | 0.313437 | + | 0.373540i | 0.899646 | − | 0.436620i | \(-0.143825\pi\) |
−0.586209 | + | 0.810160i | \(0.699380\pi\) | |||||||
\(948\) | −4.41402 | + | 3.98968i | −0.143361 | + | 0.129579i | ||||
\(949\) | − | 6.53319i | − | 0.212076i | ||||||
\(950\) | −1.05965 | + | 0.494564i | −0.0343795 | + | 0.0160458i | ||||
\(951\) | − | 4.85034i | − | 0.157283i | ||||||
\(952\) | −37.2660 | + | 8.71595i | −1.20780 | + | 0.282485i | ||||
\(953\) | −5.08743 | − | 6.06296i | −0.164798 | − | 0.196399i | 0.677325 | − | 0.735684i | \(-0.263139\pi\) |
−0.842123 | + | 0.539285i | \(0.818695\pi\) | |||||||
\(954\) | 2.77137 | + | 0.436232i | 0.0897263 | + | 0.0141235i | ||||
\(955\) | 9.87993 | − | 27.1449i | 0.319707 | − | 0.878388i | ||||
\(956\) | −19.9590 | − | 2.76623i | −0.645519 | − | 0.0894662i | ||||
\(957\) | 5.10307 | − | 8.83878i | 0.164959 | − | 0.285717i | ||||
\(958\) | 0.127331 | + | 6.91664i | 0.00411387 | + | 0.223466i | ||||
\(959\) | 30.2183 | + | 5.32831i | 0.975801 | + | 0.172060i | ||||
\(960\) | 0.336237 | − | 5.23919i | 0.0108520 | − | 0.169094i | ||||
\(961\) | 15.2007 | + | 26.3283i | 0.490344 | + | 0.849301i | ||||
\(962\) | −0.524999 | − | 0.871859i | −0.0169266 | − | 0.0281099i | ||||
\(963\) | −1.12959 | − | 0.947835i | −0.0364004 | − | 0.0305436i | ||||
\(964\) | 16.5322 | − | 3.54701i | 0.532467 | − | 0.114242i | ||||
\(965\) | 17.1148 | + | 47.0226i | 0.550946 | + | 1.51371i | ||||
\(966\) | 0.807815 | + | 4.13478i | 0.0259910 | + | 0.133034i | ||||
\(967\) | 39.9648 | − | 7.04688i | 1.28518 | − | 0.226612i | 0.511003 | − | 0.859579i | \(-0.329274\pi\) |
0.774179 | + | 0.632967i | \(0.218163\pi\) | |||||||
\(968\) | 18.2697 | − | 1.00991i | 0.587211 | − | 0.0324598i | ||||
\(969\) | 2.98282 | − | 2.87695i | 0.0958221 | − | 0.0924211i | ||||
\(970\) | −28.9280 | − | 15.9990i | −0.928823 | − | 0.513698i | ||||
\(971\) | 7.47160 | + | 42.3736i | 0.239775 | + | 1.35983i | 0.832320 | + | 0.554295i | \(0.187012\pi\) |
−0.592545 | + | 0.805537i | \(0.701877\pi\) | |||||||
\(972\) | −14.2613 | − | 4.60371i | −0.457431 | − | 0.147664i | ||||
\(973\) | 74.2319 | − | 27.0182i | 2.37976 | − | 0.866164i | ||||
\(974\) | 20.6072 | − | 17.9481i | 0.660297 | − | 0.575094i | ||||
\(975\) | −0.0204645 | + | 0.0243886i | −0.000655389 | + | 0.000781062i | ||||
\(976\) | −6.97108 | − | 10.2505i | −0.223139 | − | 0.328109i | ||||
\(977\) | 28.8945 | − | 16.6822i | 0.924415 | − | 0.533712i | 0.0393744 | − | 0.999225i | \(-0.487463\pi\) |
0.885041 | + | 0.465513i | \(0.154130\pi\) | |||||||
\(978\) | 4.24271 | − | 5.24954i | 0.135667 | − | 0.167862i | ||||
\(979\) | 10.7527 | − | 60.9818i | 0.343659 | − | 1.94899i | ||||
\(980\) | 20.9056 | − | 39.4993i | 0.667805 | − | 1.26176i | ||||
\(981\) | 15.8000 | + | 9.12212i | 0.504455 | + | 0.291247i | ||||
\(982\) | −11.6391 | − | 30.2348i | −0.371420 | − | 0.964830i | ||||
\(983\) | 27.6780 | + | 10.0740i | 0.882790 | + | 0.321309i | 0.743335 | − | 0.668919i | \(-0.233243\pi\) |
0.139455 | + | 0.990228i | \(0.455465\pi\) | |||||||
\(984\) | −2.24995 | − | 5.25865i | −0.0717258 | − | 0.167640i | ||||
\(985\) | −7.92965 | + | 6.65377i | −0.252660 | + | 0.212007i | ||||
\(986\) | 12.8454 | − | 37.4216i | 0.409080 | − | 1.19175i | ||||
\(987\) | −5.81254 | −0.185015 | ||||||||
\(988\) | −0.537452 | − | 5.05052i | −0.0170986 | − | 0.160679i | ||||
\(989\) | 11.4855 | 0.365217 | ||||||||
\(990\) | 12.7526 | − | 37.1513i | 0.405304 | − | 1.18074i | ||||
\(991\) | −14.8234 | + | 12.4383i | −0.470882 | + | 0.395117i | −0.847116 | − | 0.531408i | \(-0.821663\pi\) |
0.376234 | + | 0.926525i | \(0.377219\pi\) | |||||||
\(992\) | −3.59724 | − | 2.49333i | −0.114212 | − | 0.0791633i | ||||
\(993\) | 3.94261 | + | 1.43499i | 0.125115 | + | 0.0455381i | ||||
\(994\) | 27.4945 | + | 71.4220i | 0.872073 | + | 2.26537i | ||||
\(995\) | −24.0362 | − | 13.8773i | −0.761999 | − | 0.439941i | ||||
\(996\) | 0.760951 | + | 0.402745i | 0.0241117 | + | 0.0127614i | ||||
\(997\) | −8.02691 | + | 45.5229i | −0.254215 | + | 1.44172i | 0.543865 | + | 0.839173i | \(0.316960\pi\) |
−0.798080 | + | 0.602551i | \(0.794151\pi\) | |||||||
\(998\) | 2.25993 | − | 2.79624i | 0.0715370 | − | 0.0885133i | ||||
\(999\) | −1.82335 | + | 1.05271i | −0.0576881 | + | 0.0333063i |
(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 | 76.2.k.a.67.8 | yes | 48 | |
3.2 | odd | 2 | 684.2.cf.a.523.1 | 48 | |||
4.3 | odd | 2 | inner | 76.2.k.a.67.7 | yes | 48 | |
12.11 | even | 2 | 684.2.cf.a.523.2 | 48 | |||
19.2 | odd | 18 | inner | 76.2.k.a.59.7 | ✓ | 48 | |
57.2 | even | 18 | 684.2.cf.a.667.2 | 48 | |||
76.59 | even | 18 | inner | 76.2.k.a.59.8 | yes | 48 | |
228.59 | odd | 18 | 684.2.cf.a.667.1 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.2.k.a.59.7 | ✓ | 48 | 19.2 | odd | 18 | inner | |
76.2.k.a.59.8 | yes | 48 | 76.59 | even | 18 | inner | |
76.2.k.a.67.7 | yes | 48 | 4.3 | odd | 2 | inner | |
76.2.k.a.67.8 | yes | 48 | 1.1 | even | 1 | trivial | |
684.2.cf.a.523.1 | 48 | 3.2 | odd | 2 | |||
684.2.cf.a.523.2 | 48 | 12.11 | even | 2 | |||
684.2.cf.a.667.1 | 48 | 228.59 | odd | 18 | |||
684.2.cf.a.667.2 | 48 | 57.2 | even | 18 |