Properties

Label 570.2.bf.a.89.5
Level $570$
Weight $2$
Character 570.89
Analytic conductor $4.551$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [570,2,Mod(29,570)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(570, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([9, 9, 17]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("570.29");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bf (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: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(40\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 89.5
Character \(\chi\) \(=\) 570.89
Dual form 570.2.bf.a.269.5

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.642788 - 0.766044i) q^{2} +(-1.40021 + 1.01952i) q^{3} +(-0.173648 + 0.984808i) q^{4} +(0.0444616 + 2.23563i) q^{5} +(1.68103 + 0.417284i) q^{6} +(4.02623 + 2.32455i) q^{7} +(0.866025 - 0.500000i) q^{8} +(0.921151 - 2.85508i) q^{9} +O(q^{10})\) \(q+(-0.642788 - 0.766044i) q^{2} +(-1.40021 + 1.01952i) q^{3} +(-0.173648 + 0.984808i) q^{4} +(0.0444616 + 2.23563i) q^{5} +(1.68103 + 0.417284i) q^{6} +(4.02623 + 2.32455i) q^{7} +(0.866025 - 0.500000i) q^{8} +(0.921151 - 2.85508i) q^{9} +(1.68401 - 1.47109i) q^{10} +(-0.0906937 + 0.0523621i) q^{11} +(-0.760890 - 1.55597i) q^{12} +(1.33336 - 0.485303i) q^{13} +(-0.807307 - 4.57846i) q^{14} +(-2.34152 - 3.08501i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(-3.79975 + 3.18837i) q^{17} +(-2.77922 + 1.12957i) q^{18} +(3.84452 - 2.05419i) q^{19} +(-2.20938 - 0.344426i) q^{20} +(-8.00748 + 0.849989i) q^{21} +(0.0984085 + 0.0358178i) q^{22} +(-0.445860 + 2.52860i) q^{23} +(-0.702853 + 1.58303i) q^{24} +(-4.99605 + 0.198799i) q^{25} +(-1.22883 - 0.709466i) q^{26} +(1.62101 + 4.93683i) q^{27} +(-2.98838 + 3.56141i) q^{28} +(5.99196 + 5.02786i) q^{29} +(-0.858149 + 3.77672i) q^{30} +(-2.96451 - 1.71156i) q^{31} +(0.342020 + 0.939693i) q^{32} +(0.0736056 - 0.165782i) q^{33} +(4.88487 + 0.861334i) q^{34} +(-5.01780 + 9.10450i) q^{35} +(2.65175 + 1.40294i) q^{36} +4.83826 q^{37} +(-4.04481 - 1.62467i) q^{38} +(-1.37220 + 2.03891i) q^{39} +(1.15632 + 1.91388i) q^{40} +(-0.912946 - 0.332285i) q^{41} +(5.79824 + 5.58772i) q^{42} +(-3.52133 + 0.620906i) q^{43} +(-0.0358178 - 0.0984085i) q^{44} +(6.42385 + 1.93241i) q^{45} +(2.22361 - 1.28380i) q^{46} +(-4.06112 - 3.40768i) q^{47} +(1.66446 - 0.479138i) q^{48} +(7.30704 + 12.6562i) q^{49} +(3.36369 + 3.69941i) q^{50} +(2.06982 - 8.33830i) q^{51} +(0.246395 + 1.39737i) q^{52} +(-3.46921 - 0.611716i) q^{53} +(2.73986 - 4.41510i) q^{54} +(-0.121094 - 0.200429i) q^{55} +4.64909 q^{56} +(-3.28883 + 6.79585i) q^{57} -7.82195i q^{58} +(-1.98984 + 1.66967i) q^{59} +(3.44474 - 1.77025i) q^{60} +(-2.42070 + 13.7285i) q^{61} +(0.594418 + 3.37111i) q^{62} +(10.3455 - 9.35396i) q^{63} +(0.500000 - 0.866025i) q^{64} +(1.14424 + 2.95931i) q^{65} +(-0.174309 + 0.0501773i) q^{66} +(-5.34450 - 4.48457i) q^{67} +(-2.48011 - 4.29568i) q^{68} +(-1.95366 - 3.99512i) q^{69} +(10.1998 - 2.00840i) q^{70} +(-2.73413 - 15.5060i) q^{71} +(-0.629800 - 2.93315i) q^{72} +(-2.57642 + 7.07867i) q^{73} +(-3.10997 - 3.70632i) q^{74} +(6.79281 - 5.37194i) q^{75} +(1.35538 + 4.14282i) q^{76} -0.486872 q^{77} +(2.44393 - 0.259422i) q^{78} +(-1.78665 + 4.90879i) q^{79} +(0.722849 - 2.11601i) q^{80} +(-7.30296 - 5.25992i) q^{81} +(0.332285 + 0.912946i) q^{82} +(-2.49077 + 4.31413i) q^{83} +(0.553409 - 8.03343i) q^{84} +(-7.29695 - 8.35306i) q^{85} +(2.73911 + 2.29839i) q^{86} +(-13.5160 - 0.931093i) q^{87} +(-0.0523621 + 0.0906937i) q^{88} +(16.3079 - 5.93559i) q^{89} +(-2.64886 - 6.16308i) q^{90} +(6.49653 + 1.14551i) q^{91} +(-2.41276 - 0.878173i) q^{92} +(5.89589 - 0.625844i) q^{93} +5.30141i q^{94} +(4.76332 + 8.50357i) q^{95} +(-1.43694 - 0.967066i) q^{96} +(-7.91209 + 6.63904i) q^{97} +(4.99831 - 13.7327i) q^{98} +(0.0659552 + 0.307171i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 30 q^{15} + 48 q^{19} + 12 q^{25} - 48 q^{39} + 36 q^{45} - 72 q^{46} + 216 q^{49} - 180 q^{51} + 36 q^{54} + 60 q^{55} + 6 q^{60} - 72 q^{61} + 120 q^{64} - 156 q^{66} + 48 q^{79} - 120 q^{81} - 108 q^{84} - 48 q^{85} - 36 q^{90} - 24 q^{91} - 216 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{18}\right)\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.642788 0.766044i −0.454519 0.541675i
\(3\) −1.40021 + 1.01952i −0.808409 + 0.588621i
\(4\) −0.173648 + 0.984808i −0.0868241 + 0.492404i
\(5\) 0.0444616 + 2.23563i 0.0198838 + 0.999802i
\(6\) 1.68103 + 0.417284i 0.686279 + 0.170355i
\(7\) 4.02623 + 2.32455i 1.52177 + 0.878596i 0.999669 + 0.0257143i \(0.00818600\pi\)
0.522104 + 0.852882i \(0.325147\pi\)
\(8\) 0.866025 0.500000i 0.306186 0.176777i
\(9\) 0.921151 2.85508i 0.307050 0.951693i
\(10\) 1.68401 1.47109i 0.532531 0.465200i
\(11\) −0.0906937 + 0.0523621i −0.0273452 + 0.0157878i −0.513610 0.858024i \(-0.671692\pi\)
0.486265 + 0.873811i \(0.338359\pi\)
\(12\) −0.760890 1.55597i −0.219650 0.449170i
\(13\) 1.33336 0.485303i 0.369807 0.134599i −0.150430 0.988621i \(-0.548066\pi\)
0.520237 + 0.854022i \(0.325844\pi\)
\(14\) −0.807307 4.57846i −0.215762 1.22365i
\(15\) −2.34152 3.08501i −0.604579 0.796545i
\(16\) −0.939693 0.342020i −0.234923 0.0855050i
\(17\) −3.79975 + 3.18837i −0.921575 + 0.773293i −0.974286 0.225317i \(-0.927658\pi\)
0.0527106 + 0.998610i \(0.483214\pi\)
\(18\) −2.77922 + 1.12957i −0.655069 + 0.266242i
\(19\) 3.84452 2.05419i 0.881993 0.471262i
\(20\) −2.20938 0.344426i −0.494033 0.0770161i
\(21\) −8.00748 + 0.849989i −1.74738 + 0.185483i
\(22\) 0.0984085 + 0.0358178i 0.0209808 + 0.00763637i
\(23\) −0.445860 + 2.52860i −0.0929682 + 0.527249i 0.902383 + 0.430935i \(0.141816\pi\)
−0.995351 + 0.0963137i \(0.969295\pi\)
\(24\) −0.702853 + 1.58303i −0.143469 + 0.323136i
\(25\) −4.99605 + 0.198799i −0.999209 + 0.0397598i
\(26\) −1.22883 0.709466i −0.240993 0.139138i
\(27\) 1.62101 + 4.93683i 0.311964 + 0.950094i
\(28\) −2.98838 + 3.56141i −0.564751 + 0.673044i
\(29\) 5.99196 + 5.02786i 1.11268 + 0.933649i 0.998212 0.0597776i \(-0.0190392\pi\)
0.114468 + 0.993427i \(0.463484\pi\)
\(30\) −0.858149 + 3.77672i −0.156676 + 0.689531i
\(31\) −2.96451 1.71156i −0.532441 0.307405i 0.209569 0.977794i \(-0.432794\pi\)
−0.742010 + 0.670389i \(0.766127\pi\)
\(32\) 0.342020 + 0.939693i 0.0604612 + 0.166116i
\(33\) 0.0736056 0.165782i 0.0128131 0.0288589i
\(34\) 4.88487 + 0.861334i 0.837748 + 0.147718i
\(35\) −5.01780 + 9.10450i −0.848164 + 1.53894i
\(36\) 2.65175 + 1.40294i 0.441958 + 0.233823i
\(37\) 4.83826 0.795405 0.397702 0.917514i \(-0.369808\pi\)
0.397702 + 0.917514i \(0.369808\pi\)
\(38\) −4.04481 1.62467i −0.656154 0.263556i
\(39\) −1.37220 + 2.03891i −0.219728 + 0.326487i
\(40\) 1.15632 + 1.91388i 0.182830 + 0.302611i
\(41\) −0.912946 0.332285i −0.142578 0.0518942i 0.269745 0.962932i \(-0.413060\pi\)
−0.412324 + 0.911037i \(0.635283\pi\)
\(42\) 5.79824 + 5.58772i 0.894688 + 0.862204i
\(43\) −3.52133 + 0.620906i −0.536998 + 0.0946873i −0.435569 0.900155i \(-0.643453\pi\)
−0.101429 + 0.994843i \(0.532342\pi\)
\(44\) −0.0358178 0.0984085i −0.00539973 0.0148356i
\(45\) 6.42385 + 1.93241i 0.957610 + 0.288066i
\(46\) 2.22361 1.28380i 0.327854 0.189286i
\(47\) −4.06112 3.40768i −0.592375 0.497061i 0.296610 0.954999i \(-0.404144\pi\)
−0.888984 + 0.457937i \(0.848588\pi\)
\(48\) 1.66446 0.479138i 0.240244 0.0691577i
\(49\) 7.30704 + 12.6562i 1.04386 + 1.80802i
\(50\) 3.36369 + 3.69941i 0.475697 + 0.523175i
\(51\) 2.06982 8.33830i 0.289833 1.16760i
\(52\) 0.246395 + 1.39737i 0.0341688 + 0.193781i
\(53\) −3.46921 0.611716i −0.476533 0.0840257i −0.0697774 0.997563i \(-0.522229\pi\)
−0.406756 + 0.913537i \(0.633340\pi\)
\(54\) 2.73986 4.41510i 0.372848 0.600820i
\(55\) −0.121094 0.200429i −0.0163284 0.0270259i
\(56\) 4.64909 0.621261
\(57\) −3.28883 + 6.79585i −0.435616 + 0.900133i
\(58\) 7.82195i 1.02707i
\(59\) −1.98984 + 1.66967i −0.259055 + 0.217373i −0.763060 0.646328i \(-0.776304\pi\)
0.504005 + 0.863701i \(0.331859\pi\)
\(60\) 3.44474 1.77025i 0.444714 0.228538i
\(61\) −2.42070 + 13.7285i −0.309939 + 1.75775i 0.289354 + 0.957222i \(0.406559\pi\)
−0.599293 + 0.800530i \(0.704552\pi\)
\(62\) 0.594418 + 3.37111i 0.0754911 + 0.428132i
\(63\) 10.3455 9.35396i 1.30342 1.17849i
\(64\) 0.500000 0.866025i 0.0625000 0.108253i
\(65\) 1.14424 + 2.95931i 0.141925 + 0.367058i
\(66\) −0.174309 + 0.0501773i −0.0214560 + 0.00617640i
\(67\) −5.34450 4.48457i −0.652935 0.547877i 0.255025 0.966934i \(-0.417916\pi\)
−0.907960 + 0.419057i \(0.862361\pi\)
\(68\) −2.48011 4.29568i −0.300758 0.520928i
\(69\) −1.95366 3.99512i −0.235194 0.480956i
\(70\) 10.1998 2.00840i 1.21911 0.240050i
\(71\) −2.73413 15.5060i −0.324482 1.84023i −0.513290 0.858215i \(-0.671573\pi\)
0.188808 0.982014i \(-0.439538\pi\)
\(72\) −0.629800 2.93315i −0.0742226 0.345675i
\(73\) −2.57642 + 7.07867i −0.301548 + 0.828495i 0.692684 + 0.721241i \(0.256428\pi\)
−0.994232 + 0.107254i \(0.965794\pi\)
\(74\) −3.10997 3.70632i −0.361527 0.430851i
\(75\) 6.79281 5.37194i 0.784366 0.620298i
\(76\) 1.35538 + 4.14282i 0.155473 + 0.475214i
\(77\) −0.486872 −0.0554842
\(78\) 2.44393 0.259422i 0.276721 0.0293737i
\(79\) −1.78665 + 4.90879i −0.201014 + 0.552282i −0.998710 0.0507779i \(-0.983830\pi\)
0.797696 + 0.603060i \(0.206052\pi\)
\(80\) 0.722849 2.11601i 0.0808170 0.236577i
\(81\) −7.30296 5.25992i −0.811440 0.584436i
\(82\) 0.332285 + 0.912946i 0.0366947 + 0.100818i
\(83\) −2.49077 + 4.31413i −0.273397 + 0.473538i −0.969729 0.244182i \(-0.921481\pi\)
0.696332 + 0.717719i \(0.254814\pi\)
\(84\) 0.553409 8.03343i 0.0603819 0.876519i
\(85\) −7.29695 8.35306i −0.791465 0.906017i
\(86\) 2.73911 + 2.29839i 0.295366 + 0.247841i
\(87\) −13.5160 0.931093i −1.44907 0.0998237i
\(88\) −0.0523621 + 0.0906937i −0.00558181 + 0.00966798i
\(89\) 16.3079 5.93559i 1.72863 0.629171i 0.730101 0.683339i \(-0.239473\pi\)
0.998532 + 0.0541685i \(0.0172508\pi\)
\(90\) −2.64886 6.16308i −0.279214 0.649646i
\(91\) 6.49653 + 1.14551i 0.681021 + 0.120082i
\(92\) −2.41276 0.878173i −0.251548 0.0915558i
\(93\) 5.89589 0.625844i 0.611375 0.0648970i
\(94\) 5.30141i 0.546799i
\(95\) 4.76332 + 8.50357i 0.488707 + 0.872448i
\(96\) −1.43694 0.967066i −0.146657 0.0987007i
\(97\) −7.91209 + 6.63904i −0.803351 + 0.674092i −0.949011 0.315243i \(-0.897914\pi\)
0.145660 + 0.989335i \(0.453470\pi\)
\(98\) 4.99831 13.7327i 0.504905 1.38722i
\(99\) 0.0659552 + 0.307171i 0.00662875 + 0.0308719i
\(100\) 0.671776 4.95467i 0.0671776 0.495467i
\(101\) −0.0861922 0.236811i −0.00857645 0.0235636i 0.935331 0.353775i \(-0.115102\pi\)
−0.943907 + 0.330211i \(0.892880\pi\)
\(102\) −7.71796 + 3.77418i −0.764192 + 0.373700i
\(103\) −7.45112 12.9057i −0.734180 1.27164i −0.955082 0.296341i \(-0.904233\pi\)
0.220902 0.975296i \(-0.429100\pi\)
\(104\) 0.912071 1.08696i 0.0894360 0.106586i
\(105\) −2.25628 17.8639i −0.220191 1.74334i
\(106\) 1.76137 + 3.05078i 0.171079 + 0.296318i
\(107\) 8.47883 + 4.89525i 0.819679 + 0.473242i 0.850306 0.526289i \(-0.176417\pi\)
−0.0306267 + 0.999531i \(0.509750\pi\)
\(108\) −5.14332 + 0.739116i −0.494916 + 0.0711215i
\(109\) 9.47129 1.67004i 0.907185 0.159961i 0.299460 0.954109i \(-0.403193\pi\)
0.607725 + 0.794148i \(0.292082\pi\)
\(110\) −0.0756997 + 0.221597i −0.00721768 + 0.0211284i
\(111\) −6.77456 + 4.93271i −0.643012 + 0.468192i
\(112\) −2.98838 3.56141i −0.282375 0.336522i
\(113\) 1.39050i 0.130807i 0.997859 + 0.0654036i \(0.0208335\pi\)
−0.997859 + 0.0654036i \(0.979167\pi\)
\(114\) 7.31994 1.84890i 0.685576 0.173165i
\(115\) −5.67282 0.884351i −0.528993 0.0824661i
\(116\) −5.99196 + 5.02786i −0.556340 + 0.466825i
\(117\) −0.157354 4.25388i −0.0145473 0.393272i
\(118\) 2.55809 + 0.451060i 0.235491 + 0.0415235i
\(119\) −22.7102 + 4.00442i −2.08184 + 0.367085i
\(120\) −3.57032 1.50093i −0.325924 0.137016i
\(121\) −5.49452 + 9.51678i −0.499501 + 0.865162i
\(122\) 12.0726 6.97013i 1.09300 0.631046i
\(123\) 1.61708 0.465501i 0.145807 0.0419728i
\(124\) 2.20034 2.62226i 0.197596 0.235486i
\(125\) −0.666572 11.1605i −0.0596200 0.998221i
\(126\) −13.8155 1.91253i −1.23079 0.170382i
\(127\) 3.69581 1.34517i 0.327950 0.119364i −0.172798 0.984957i \(-0.555281\pi\)
0.500748 + 0.865593i \(0.333058\pi\)
\(128\) −0.984808 + 0.173648i −0.0870455 + 0.0153485i
\(129\) 4.29756 4.45947i 0.378379 0.392635i
\(130\) 1.53146 2.77875i 0.134318 0.243712i
\(131\) 5.21813 + 6.21873i 0.455910 + 0.543333i 0.944210 0.329343i \(-0.106827\pi\)
−0.488300 + 0.872676i \(0.662383\pi\)
\(132\) 0.150482 + 0.101275i 0.0130978 + 0.00881487i
\(133\) 20.2540 + 0.666134i 1.75624 + 0.0577611i
\(134\) 6.97675i 0.602699i
\(135\) −10.9648 + 3.84348i −0.943703 + 0.330794i
\(136\) −1.69650 + 4.66108i −0.145473 + 0.399685i
\(137\) 1.52264 8.63533i 0.130088 0.737766i −0.848067 0.529889i \(-0.822233\pi\)
0.978155 0.207877i \(-0.0666554\pi\)
\(138\) −1.80465 + 4.06461i −0.153622 + 0.346002i
\(139\) 13.7768 5.01436i 1.16854 0.425312i 0.316396 0.948627i \(-0.397527\pi\)
0.852139 + 0.523315i \(0.175305\pi\)
\(140\) −8.09485 6.52255i −0.684140 0.551256i
\(141\) 9.16060 + 0.631058i 0.771462 + 0.0531447i
\(142\) −10.1209 + 12.0616i −0.849323 + 1.01218i
\(143\) −0.0955159 + 0.113831i −0.00798744 + 0.00951906i
\(144\) −1.84209 + 2.36785i −0.153508 + 0.197320i
\(145\) −10.9740 + 13.6193i −0.911340 + 1.13102i
\(146\) 7.07867 2.57642i 0.585835 0.213226i
\(147\) −23.1346 10.2715i −1.90811 0.847183i
\(148\) −0.840155 + 4.76475i −0.0690603 + 0.391660i
\(149\) 5.04115 13.8504i 0.412987 1.13467i −0.542607 0.839986i \(-0.682563\pi\)
0.955594 0.294686i \(-0.0952149\pi\)
\(150\) −8.48148 1.75058i −0.692510 0.142934i
\(151\) 17.8106i 1.44941i −0.689059 0.724705i \(-0.741976\pi\)
0.689059 0.724705i \(-0.258024\pi\)
\(152\) 2.30236 3.70124i 0.186746 0.300210i
\(153\) 5.60290 + 13.7856i 0.452968 + 1.11450i
\(154\) 0.312955 + 0.372966i 0.0252187 + 0.0300544i
\(155\) 3.69460 6.70362i 0.296757 0.538448i
\(156\) −1.76966 1.70541i −0.141686 0.136542i
\(157\) 17.7541 3.13052i 1.41693 0.249843i 0.587848 0.808972i \(-0.299975\pi\)
0.829081 + 0.559129i \(0.188864\pi\)
\(158\) 4.90879 1.78665i 0.390523 0.142139i
\(159\) 5.48127 2.68041i 0.434693 0.212570i
\(160\) −2.08559 + 0.806409i −0.164881 + 0.0637523i
\(161\) −7.67298 + 9.14430i −0.604716 + 0.720672i
\(162\) 0.664920 + 8.97540i 0.0522411 + 0.705174i
\(163\) 12.5756 7.26050i 0.984993 0.568686i 0.0812193 0.996696i \(-0.474119\pi\)
0.903774 + 0.428010i \(0.140785\pi\)
\(164\) 0.485768 0.841375i 0.0379321 0.0657004i
\(165\) 0.373899 + 0.157184i 0.0291080 + 0.0122367i
\(166\) 4.90585 0.865034i 0.380768 0.0671397i
\(167\) 14.3743 + 2.53457i 1.11232 + 0.196131i 0.699464 0.714667i \(-0.253422\pi\)
0.412851 + 0.910799i \(0.364533\pi\)
\(168\) −6.50969 + 4.73985i −0.502233 + 0.365688i
\(169\) −8.41625 + 7.06207i −0.647404 + 0.543236i
\(170\) −1.70843 + 10.9590i −0.131031 + 0.840519i
\(171\) −2.32348 12.8686i −0.177681 0.984088i
\(172\) 3.57565i 0.272641i
\(173\) 2.45142 + 2.92149i 0.186378 + 0.222117i 0.851140 0.524938i \(-0.175912\pi\)
−0.664762 + 0.747055i \(0.731467\pi\)
\(174\) 7.97465 + 10.9523i 0.604557 + 0.830295i
\(175\) −20.5774 10.8131i −1.55550 0.817396i
\(176\) 0.103133 0.0181851i 0.00777395 0.00137076i
\(177\) 1.08392 4.36657i 0.0814722 0.328212i
\(178\) −15.0294 8.67725i −1.12650 0.650387i
\(179\) −12.0121 20.8056i −0.897830 1.55509i −0.830263 0.557372i \(-0.811810\pi\)
−0.0675672 0.997715i \(-0.521524\pi\)
\(180\) −3.01854 + 5.99069i −0.224989 + 0.446520i
\(181\) −2.84819 + 3.39434i −0.211704 + 0.252299i −0.861438 0.507863i \(-0.830436\pi\)
0.649734 + 0.760162i \(0.274880\pi\)
\(182\) −3.29837 5.71295i −0.244492 0.423472i
\(183\) −10.6070 21.6906i −0.784092 1.60342i
\(184\) 0.878173 + 2.41276i 0.0647398 + 0.177871i
\(185\) 0.215117 + 10.8165i 0.0158157 + 0.795248i
\(186\) −4.26923 4.11423i −0.313035 0.301670i
\(187\) 0.177664 0.488128i 0.0129921 0.0356954i
\(188\) 4.06112 3.40768i 0.296187 0.248531i
\(189\) −4.94931 + 23.6450i −0.360010 + 1.71992i
\(190\) 3.45231 9.11491i 0.250457 0.661265i
\(191\) 8.06560i 0.583606i 0.956478 + 0.291803i \(0.0942552\pi\)
−0.956478 + 0.291803i \(0.905745\pi\)
\(192\) 0.182829 + 1.72237i 0.0131945 + 0.124302i
\(193\) −16.0842 5.85417i −1.15777 0.421392i −0.309467 0.950910i \(-0.600151\pi\)
−0.848299 + 0.529518i \(0.822373\pi\)
\(194\) 10.1716 + 1.79353i 0.730278 + 0.128768i
\(195\) −4.61926 2.97707i −0.330792 0.213193i
\(196\) −13.7327 + 4.99831i −0.980910 + 0.357022i
\(197\) 11.8521 20.5284i 0.844424 1.46258i −0.0416969 0.999130i \(-0.513276\pi\)
0.886121 0.463455i \(-0.153390\pi\)
\(198\) 0.192912 0.247970i 0.0137096 0.0176225i
\(199\) −4.91779 4.12652i −0.348613 0.292521i 0.451620 0.892211i \(-0.350846\pi\)
−0.800233 + 0.599689i \(0.795291\pi\)
\(200\) −4.22730 + 2.67019i −0.298916 + 0.188811i
\(201\) 12.0555 + 0.830483i 0.850330 + 0.0585778i
\(202\) −0.126005 + 0.218246i −0.00886566 + 0.0153558i
\(203\) 12.4376 + 34.1719i 0.872946 + 2.39840i
\(204\) 7.85220 + 3.48631i 0.549764 + 0.244090i
\(205\) 0.702274 2.05578i 0.0490489 0.143582i
\(206\) −5.09686 + 14.0035i −0.355115 + 0.975671i
\(207\) 6.80864 + 3.60219i 0.473233 + 0.250369i
\(208\) −1.41893 −0.0983852
\(209\) −0.241112 + 0.387609i −0.0166781 + 0.0268114i
\(210\) −12.2343 + 13.2111i −0.844244 + 0.911655i
\(211\) −4.41320 5.25944i −0.303817 0.362075i 0.592437 0.805617i \(-0.298166\pi\)
−0.896254 + 0.443542i \(0.853722\pi\)
\(212\) 1.20485 3.31029i 0.0827491 0.227351i
\(213\) 19.6371 + 18.9241i 1.34551 + 1.29666i
\(214\) −1.70010 9.64177i −0.116217 0.659098i
\(215\) −1.54468 7.84478i −0.105346 0.535009i
\(216\) 3.87226 + 3.46491i 0.263474 + 0.235758i
\(217\) −7.95719 13.7823i −0.540169 0.935601i
\(218\) −7.36735 6.18194i −0.498980 0.418694i
\(219\) −3.60933 12.5383i −0.243896 0.847261i
\(220\) 0.218412 0.0844505i 0.0147253 0.00569365i
\(221\) −3.51911 + 6.09527i −0.236721 + 0.410012i
\(222\) 8.13328 + 2.01893i 0.545870 + 0.135502i
\(223\) 2.42000 + 13.7245i 0.162055 + 0.919061i 0.952049 + 0.305946i \(0.0989727\pi\)
−0.789994 + 0.613115i \(0.789916\pi\)
\(224\) −0.807307 + 4.57846i −0.0539404 + 0.305911i
\(225\) −4.03453 + 14.4472i −0.268968 + 0.963149i
\(226\) 1.06518 0.893796i 0.0708550 0.0594544i
\(227\) 1.58854i 0.105435i −0.998609 0.0527176i \(-0.983212\pi\)
0.998609 0.0527176i \(-0.0167883\pi\)
\(228\) −6.12151 4.41895i −0.405407 0.292652i
\(229\) 16.9141 1.11771 0.558857 0.829264i \(-0.311240\pi\)
0.558857 + 0.829264i \(0.311240\pi\)
\(230\) 2.96897 + 4.91408i 0.195768 + 0.324025i
\(231\) 0.681721 0.496377i 0.0448540 0.0326592i
\(232\) 7.70312 + 1.35827i 0.505735 + 0.0891747i
\(233\) 2.53356 + 14.3685i 0.165979 + 0.941314i 0.948049 + 0.318124i \(0.103053\pi\)
−0.782070 + 0.623190i \(0.785836\pi\)
\(234\) −3.15752 + 2.85488i −0.206414 + 0.186630i
\(235\) 7.43774 9.23065i 0.485185 0.602141i
\(236\) −1.29878 2.24955i −0.0845431 0.146433i
\(237\) −2.50294 8.69485i −0.162583 0.564791i
\(238\) 17.6654 + 14.8230i 1.14508 + 0.960834i
\(239\) 15.6740 9.04939i 1.01387 0.585356i 0.101546 0.994831i \(-0.467621\pi\)
0.912322 + 0.409474i \(0.134288\pi\)
\(240\) 1.14518 + 3.69981i 0.0739210 + 0.238821i
\(241\) 8.06391 + 22.1554i 0.519442 + 1.42716i 0.871137 + 0.491041i \(0.163383\pi\)
−0.351695 + 0.936115i \(0.614394\pi\)
\(242\) 10.8221 1.90823i 0.695670 0.122665i
\(243\) 15.5882 0.0805574i 0.999987 0.00516776i
\(244\) −13.0996 4.76785i −0.838614 0.305230i
\(245\) −27.9696 + 16.8985i −1.78691 + 1.07961i
\(246\) −1.39604 0.939540i −0.0890080 0.0599029i
\(247\) 4.12922 4.60472i 0.262736 0.292992i
\(248\) −3.42312 −0.217368
\(249\) −0.910768 8.58007i −0.0577176 0.543740i
\(250\) −8.12094 + 7.68442i −0.513613 + 0.486006i
\(251\) 10.2777 + 1.81223i 0.648721 + 0.114387i 0.488320 0.872665i \(-0.337610\pi\)
0.160401 + 0.987052i \(0.448721\pi\)
\(252\) 7.41537 + 11.8127i 0.467124 + 0.744128i
\(253\) −0.0919659 0.252674i −0.00578184 0.0158855i
\(254\) −3.40608 1.96650i −0.213716 0.123389i
\(255\) 18.7334 + 4.25661i 1.17313 + 0.266559i
\(256\) 0.766044 + 0.642788i 0.0478778 + 0.0401742i
\(257\) 6.00519 7.15671i 0.374593 0.446423i −0.545507 0.838107i \(-0.683663\pi\)
0.920100 + 0.391683i \(0.128107\pi\)
\(258\) −6.17857 0.425631i −0.384661 0.0264986i
\(259\) 19.4800 + 11.2468i 1.21043 + 0.698840i
\(260\) −3.11305 + 0.612976i −0.193063 + 0.0380152i
\(261\) 19.8744 12.4761i 1.23020 0.772253i
\(262\) 1.40967 7.99464i 0.0870897 0.493910i
\(263\) −12.1414 4.41912i −0.748672 0.272494i −0.0606254 0.998161i \(-0.519309\pi\)
−0.688047 + 0.725666i \(0.741532\pi\)
\(264\) −0.0191466 0.180374i −0.00117839 0.0111013i
\(265\) 1.21332 7.78306i 0.0745338 0.478110i
\(266\) −12.5087 15.9436i −0.766959 0.977567i
\(267\) −16.7829 + 24.9373i −1.02710 + 1.52614i
\(268\) 5.34450 4.48457i 0.326467 0.273939i
\(269\) 26.0845 + 9.49400i 1.59040 + 0.578859i 0.977433 0.211247i \(-0.0677524\pi\)
0.612970 + 0.790106i \(0.289975\pi\)
\(270\) 9.99234 + 5.92901i 0.608114 + 0.360828i
\(271\) −0.913695 5.18182i −0.0555030 0.314773i 0.944399 0.328803i \(-0.106645\pi\)
−0.999902 + 0.0140297i \(0.995534\pi\)
\(272\) 4.66108 1.69650i 0.282620 0.102865i
\(273\) −10.2643 + 5.01939i −0.621226 + 0.303788i
\(274\) −7.59379 + 4.38427i −0.458757 + 0.264864i
\(275\) 0.442701 0.279633i 0.0266958 0.0168625i
\(276\) 4.27368 1.23024i 0.257245 0.0740517i
\(277\) −12.6467 + 7.30156i −0.759865 + 0.438708i −0.829247 0.558882i \(-0.811231\pi\)
0.0693823 + 0.997590i \(0.477897\pi\)
\(278\) −12.6968 7.33050i −0.761503 0.439654i
\(279\) −7.61739 + 6.88730i −0.456041 + 0.412332i
\(280\) 0.206706 + 10.3936i 0.0123530 + 0.621138i
\(281\) −1.01731 + 5.76945i −0.0606876 + 0.344177i 0.939312 + 0.343065i \(0.111465\pi\)
−0.999999 + 0.00111193i \(0.999646\pi\)
\(282\) −5.40490 7.42307i −0.321857 0.442037i
\(283\) 21.0306 + 25.0633i 1.25014 + 1.48986i 0.803688 + 0.595051i \(0.202868\pi\)
0.446451 + 0.894808i \(0.352688\pi\)
\(284\) 15.7453 0.934309
\(285\) −15.3392 7.05044i −0.908616 0.417632i
\(286\) 0.148596 0.00878668
\(287\) −2.90332 3.46004i −0.171378 0.204240i
\(288\) 2.99795 0.110896i 0.176656 0.00653460i
\(289\) 1.32039 7.48829i 0.0776699 0.440488i
\(290\) 17.4870 0.347776i 1.02687 0.0204221i
\(291\) 4.30992 17.3626i 0.252652 1.01781i
\(292\) −6.52374 3.76648i −0.381773 0.220417i
\(293\) −20.8904 + 12.0611i −1.22043 + 0.704616i −0.965010 0.262214i \(-0.915548\pi\)
−0.255421 + 0.966830i \(0.582214\pi\)
\(294\) 7.00217 + 24.3245i 0.408375 + 1.41864i
\(295\) −3.82124 4.37430i −0.222481 0.254682i
\(296\) 4.19005 2.41913i 0.243542 0.140609i
\(297\) −0.405519 0.362860i −0.0235306 0.0210553i
\(298\) −13.8504 + 5.04115i −0.802334 + 0.292026i
\(299\) 0.632645 + 3.58791i 0.0365868 + 0.207494i
\(300\) 4.11077 + 7.62244i 0.237335 + 0.440082i
\(301\) −15.6210 5.68559i −0.900381 0.327712i
\(302\) −13.6437 + 11.4485i −0.785109 + 0.658785i
\(303\) 0.362121 + 0.243710i 0.0208033 + 0.0140007i
\(304\) −4.31524 + 0.615400i −0.247496 + 0.0352956i
\(305\) −30.7994 4.80139i −1.76357 0.274927i
\(306\) 6.95888 13.1533i 0.397812 0.751922i
\(307\) −6.04000 2.19838i −0.344721 0.125468i 0.163857 0.986484i \(-0.447606\pi\)
−0.508578 + 0.861016i \(0.669829\pi\)
\(308\) 0.0845445 0.479476i 0.00481737 0.0273207i
\(309\) 23.5907 + 10.4741i 1.34203 + 0.595849i
\(310\) −7.51011 + 1.47878i −0.426546 + 0.0839891i
\(311\) 6.75652 + 3.90088i 0.383127 + 0.221198i 0.679178 0.733974i \(-0.262336\pi\)
−0.296051 + 0.955172i \(0.595670\pi\)
\(312\) −0.168904 + 2.45185i −0.00956229 + 0.138809i
\(313\) 20.1201 23.9782i 1.13725 1.35533i 0.211422 0.977395i \(-0.432191\pi\)
0.925833 0.377933i \(-0.123365\pi\)
\(314\) −13.8102 11.5881i −0.779355 0.653957i
\(315\) 21.3719 + 22.7129i 1.20417 + 1.27972i
\(316\) −4.52397 2.61191i −0.254493 0.146932i
\(317\) 5.96589 + 16.3911i 0.335078 + 0.920618i 0.986769 + 0.162134i \(0.0518376\pi\)
−0.651691 + 0.758484i \(0.725940\pi\)
\(318\) −5.57661 2.47596i −0.312721 0.138845i
\(319\) −0.806702 0.142243i −0.0451667 0.00796410i
\(320\) 1.95834 + 1.07931i 0.109475 + 0.0603352i
\(321\) −16.8629 + 1.78999i −0.941196 + 0.0999073i
\(322\) 11.9370 0.665225
\(323\) −8.05871 + 20.0631i −0.448399 + 1.11634i
\(324\) 6.44816 6.27864i 0.358231 0.348813i
\(325\) −6.56505 + 2.68967i −0.364163 + 0.149196i
\(326\) −13.6453 4.96647i −0.755742 0.275067i
\(327\) −11.5591 + 11.9946i −0.639220 + 0.663302i
\(328\) −0.956777 + 0.168706i −0.0528292 + 0.00931521i
\(329\) −8.42969 23.1604i −0.464744 1.27687i
\(330\) −0.119928 0.387459i −0.00660181 0.0213289i
\(331\) −0.121709 + 0.0702690i −0.00668975 + 0.00386233i −0.503341 0.864088i \(-0.667896\pi\)
0.496651 + 0.867950i \(0.334563\pi\)
\(332\) −3.81608 3.20207i −0.209434 0.175736i
\(333\) 4.45677 13.8136i 0.244229 0.756981i
\(334\) −7.29801 12.6405i −0.399330 0.691659i
\(335\) 9.78819 12.1477i 0.534786 0.663699i
\(336\) 7.81528 + 1.93999i 0.426359 + 0.105835i
\(337\) 2.54126 + 14.4122i 0.138431 + 0.785083i 0.972409 + 0.233284i \(0.0749473\pi\)
−0.833977 + 0.551799i \(0.813942\pi\)
\(338\) 10.8197 + 1.90781i 0.588515 + 0.103771i
\(339\) −1.41764 1.94699i −0.0769959 0.105746i
\(340\) 9.49326 5.73559i 0.514844 0.311056i
\(341\) 0.358483 0.0194129
\(342\) −8.36443 + 10.0517i −0.452297 + 0.543533i
\(343\) 35.3985i 1.91134i
\(344\) −2.73911 + 2.29839i −0.147683 + 0.123921i
\(345\) 8.84473 4.54529i 0.476184 0.244710i
\(346\) 0.662248 3.75580i 0.0356027 0.201913i
\(347\) −1.52821 8.66689i −0.0820384 0.465263i −0.997956 0.0638975i \(-0.979647\pi\)
0.915918 0.401365i \(-0.131464\pi\)
\(348\) 3.26397 13.1490i 0.174967 0.704859i
\(349\) 3.32939 5.76668i 0.178218 0.308683i −0.763052 0.646337i \(-0.776300\pi\)
0.941270 + 0.337654i \(0.109633\pi\)
\(350\) 4.94354 + 22.7137i 0.264243 + 1.21410i
\(351\) 4.55725 + 5.79589i 0.243248 + 0.309362i
\(352\) −0.0802233 0.0673154i −0.00427592 0.00358792i
\(353\) −7.74392 13.4129i −0.412167 0.713895i 0.582959 0.812502i \(-0.301895\pi\)
−0.995126 + 0.0986066i \(0.968561\pi\)
\(354\) −4.04172 + 1.97645i −0.214815 + 0.105047i
\(355\) 34.5442 6.80193i 1.83341 0.361009i
\(356\) 3.01358 + 17.0908i 0.159719 + 0.905813i
\(357\) 27.7164 28.7606i 1.46691 1.52217i
\(358\) −8.21679 + 22.5754i −0.434271 + 1.19315i
\(359\) 6.53170 + 7.78418i 0.344730 + 0.410833i 0.910354 0.413830i \(-0.135809\pi\)
−0.565624 + 0.824663i \(0.691365\pi\)
\(360\) 6.52942 1.53841i 0.344131 0.0810812i
\(361\) 10.5606 15.7947i 0.555823 0.831300i
\(362\) 4.43099 0.232888
\(363\) −2.00911 18.9272i −0.105451 0.993422i
\(364\) −2.25622 + 6.19891i −0.118258 + 0.324911i
\(365\) −15.9398 5.44519i −0.834328 0.285014i
\(366\) −9.79795 + 22.0679i −0.512147 + 1.15351i
\(367\) 1.30970 + 3.59838i 0.0683659 + 0.187834i 0.969171 0.246391i \(-0.0792447\pi\)
−0.900805 + 0.434225i \(0.857022\pi\)
\(368\) 1.28380 2.22361i 0.0669228 0.115914i
\(369\) −1.78966 + 2.30045i −0.0931660 + 0.119757i
\(370\) 8.14767 7.11752i 0.423577 0.370022i
\(371\) −12.5459 10.5273i −0.651351 0.546548i
\(372\) −0.407474 + 5.91499i −0.0211265 + 0.306678i
\(373\) 5.25856 9.10809i 0.272278 0.471599i −0.697167 0.716909i \(-0.745556\pi\)
0.969445 + 0.245310i \(0.0788897\pi\)
\(374\) −0.488128 + 0.177664i −0.0252405 + 0.00918679i
\(375\) 12.3117 + 14.9473i 0.635771 + 0.771877i
\(376\) −5.22087 0.920580i −0.269246 0.0474753i
\(377\) 10.4295 + 3.79602i 0.537145 + 0.195505i
\(378\) 21.2945 11.4073i 1.09527 0.586728i
\(379\) 30.9672i 1.59068i −0.606164 0.795340i \(-0.707292\pi\)
0.606164 0.795340i \(-0.292708\pi\)
\(380\) −9.20153 + 3.21433i −0.472028 + 0.164892i
\(381\) −3.80347 + 5.65147i −0.194858 + 0.289533i
\(382\) 6.17861 5.18447i 0.316125 0.265260i
\(383\) 2.05062 5.63403i 0.104782 0.287885i −0.876212 0.481926i \(-0.839937\pi\)
0.980993 + 0.194041i \(0.0621595\pi\)
\(384\) 1.20190 1.24718i 0.0613340 0.0636447i
\(385\) −0.0216471 1.08846i −0.00110324 0.0554733i
\(386\) 5.85417 + 16.0842i 0.297969 + 0.818664i
\(387\) −1.47094 + 10.6256i −0.0747723 + 0.540131i
\(388\) −5.16425 8.94475i −0.262175 0.454101i
\(389\) −22.0311 + 26.2557i −1.11702 + 1.33121i −0.179313 + 0.983792i \(0.557387\pi\)
−0.937709 + 0.347423i \(0.887057\pi\)
\(390\) 0.688631 + 5.45218i 0.0348702 + 0.276082i
\(391\) −6.36795 11.0296i −0.322041 0.557791i
\(392\) 12.6562 + 7.30704i 0.639233 + 0.369061i
\(393\) −13.6466 3.38750i −0.688379 0.170877i
\(394\) −23.3440 + 4.11617i −1.17605 + 0.207370i
\(395\) −11.0537 3.77604i −0.556170 0.189993i
\(396\) −0.313958 + 0.0116135i −0.0157770 + 0.000583599i
\(397\) −15.4770 18.4447i −0.776767 0.925715i 0.222015 0.975043i \(-0.428736\pi\)
−0.998783 + 0.0493280i \(0.984292\pi\)
\(398\) 6.41972i 0.321792i
\(399\) −29.0389 + 19.7166i −1.45376 + 0.987067i
\(400\) 4.76274 + 1.52194i 0.238137 + 0.0760969i
\(401\) −9.20553 + 7.72436i −0.459702 + 0.385736i −0.843022 0.537880i \(-0.819225\pi\)
0.383319 + 0.923616i \(0.374781\pi\)
\(402\) −7.11295 9.76888i −0.354762 0.487228i
\(403\) −4.78337 0.843438i −0.238277 0.0420146i
\(404\) 0.248181 0.0437610i 0.0123475 0.00217719i
\(405\) 11.4345 16.5606i 0.568186 0.822900i
\(406\) 18.1825 31.4930i 0.902382 1.56297i
\(407\) −0.438800 + 0.253341i −0.0217505 + 0.0125577i
\(408\) −2.37663 8.25609i −0.117661 0.408737i
\(409\) −17.7789 + 21.1881i −0.879110 + 1.04768i 0.119385 + 0.992848i \(0.461908\pi\)
−0.998495 + 0.0548348i \(0.982537\pi\)
\(410\) −2.02623 + 0.783456i −0.100068 + 0.0386921i
\(411\) 6.67190 + 13.6436i 0.329100 + 0.672990i
\(412\) 14.0035 5.09686i 0.689904 0.251104i
\(413\) −11.8928 + 2.09702i −0.585206 + 0.103188i
\(414\) −1.61708 7.53117i −0.0794750 0.370137i
\(415\) −9.75553 5.37661i −0.478880 0.263927i
\(416\) 0.912071 + 1.08696i 0.0447180 + 0.0532928i
\(417\) −14.1782 + 21.0669i −0.694307 + 1.03165i
\(418\) 0.451909 0.0644472i 0.0221036 0.00315222i
\(419\) 37.9671i 1.85481i 0.374054 + 0.927407i \(0.377967\pi\)
−0.374054 + 0.927407i \(0.622033\pi\)
\(420\) 17.9843 + 0.880037i 0.877546 + 0.0429414i
\(421\) −4.75919 + 13.0758i −0.231949 + 0.637274i −0.999995 0.00312012i \(-0.999007\pi\)
0.768046 + 0.640394i \(0.221229\pi\)
\(422\) −1.19222 + 6.76141i −0.0580363 + 0.329140i
\(423\) −13.4701 + 8.45582i −0.654939 + 0.411136i
\(424\) −3.31029 + 1.20485i −0.160762 + 0.0585125i
\(425\) 18.3499 16.6846i 0.890100 0.809323i
\(426\) 1.87425 27.2071i 0.0908077 1.31819i
\(427\) −41.6588 + 49.6470i −2.01601 + 2.40259i
\(428\) −6.29322 + 7.49996i −0.304194 + 0.362524i
\(429\) 0.0176883 0.256768i 0.000853999 0.0123969i
\(430\) −5.01655 + 6.22582i −0.241919 + 0.300236i
\(431\) −18.0503 + 6.56979i −0.869454 + 0.316455i −0.737946 0.674860i \(-0.764204\pi\)
−0.131508 + 0.991315i \(0.541982\pi\)
\(432\) 0.165241 5.19352i 0.00795014 0.249874i
\(433\) 5.83374 33.0848i 0.280352 1.58995i −0.441080 0.897468i \(-0.645404\pi\)
0.721431 0.692486i \(-0.243485\pi\)
\(434\) −5.44304 + 14.9546i −0.261274 + 0.717845i
\(435\) 1.48063 30.2581i 0.0709910 1.45076i
\(436\) 9.61740i 0.460590i
\(437\) 3.48009 + 10.6371i 0.166475 + 0.508842i
\(438\) −7.28487 + 10.8244i −0.348085 + 0.517209i
\(439\) −17.0937 20.3715i −0.815839 0.972279i 0.184105 0.982907i \(-0.441061\pi\)
−0.999944 + 0.0106276i \(0.996617\pi\)
\(440\) −0.205085 0.113030i −0.00977706 0.00538847i
\(441\) 42.8652 9.20394i 2.04120 0.438283i
\(442\) 6.93129 1.22217i 0.329688 0.0581329i
\(443\) 28.5078 10.3760i 1.35445 0.492979i 0.440115 0.897941i \(-0.354938\pi\)
0.914333 + 0.404962i \(0.132715\pi\)
\(444\) −3.68138 7.52819i −0.174711 0.357272i
\(445\) 13.9948 + 36.1944i 0.663418 + 1.71578i
\(446\) 8.95803 10.6758i 0.424175 0.505512i
\(447\) 7.06218 + 24.5330i 0.334030 + 1.16037i
\(448\) 4.02623 2.32455i 0.190222 0.109825i
\(449\) 2.16458 3.74916i 0.102153 0.176934i −0.810419 0.585851i \(-0.800760\pi\)
0.912571 + 0.408917i \(0.134094\pi\)
\(450\) 13.6606 6.19588i 0.643965 0.292076i
\(451\) 0.100198 0.0176675i 0.00471812 0.000831932i
\(452\) −1.36938 0.241458i −0.0644100 0.0113572i
\(453\) 18.1583 + 24.9386i 0.853153 + 1.17172i
\(454\) −1.21689 + 1.02109i −0.0571116 + 0.0479223i
\(455\) −2.27209 + 14.5747i −0.106517 + 0.683274i
\(456\) 0.549716 + 7.52979i 0.0257428 + 0.352615i
\(457\) 24.4038i 1.14156i −0.821103 0.570781i \(-0.806641\pi\)
0.821103 0.570781i \(-0.193359\pi\)
\(458\) −10.8722 12.9569i −0.508023 0.605438i
\(459\) −21.8999 13.5903i −1.02220 0.634343i
\(460\) 1.85599 5.43307i 0.0865360 0.253318i
\(461\) 34.5470 6.09156i 1.60901 0.283712i 0.704353 0.709849i \(-0.251237\pi\)
0.904659 + 0.426137i \(0.140126\pi\)
\(462\) −0.818449 0.203164i −0.0380777 0.00945204i
\(463\) −13.9124 8.03232i −0.646563 0.373294i 0.140575 0.990070i \(-0.455105\pi\)
−0.787138 + 0.616776i \(0.788438\pi\)
\(464\) −3.91098 6.77401i −0.181563 0.314476i
\(465\) 1.66129 + 13.1532i 0.0770407 + 0.609964i
\(466\) 9.37839 11.1767i 0.434446 0.517752i
\(467\) −11.8739 20.5661i −0.549457 0.951687i −0.998312 0.0580824i \(-0.981501\pi\)
0.448855 0.893605i \(-0.351832\pi\)
\(468\) 4.21658 + 0.583716i 0.194912 + 0.0269823i
\(469\) −11.0936 30.4795i −0.512256 1.40741i
\(470\) −11.8520 + 0.235709i −0.546691 + 0.0108725i
\(471\) −21.6677 + 22.4840i −0.998395 + 1.03601i
\(472\) −0.888415 + 2.44090i −0.0408926 + 0.112352i
\(473\) 0.286851 0.240696i 0.0131894 0.0110672i
\(474\) −5.05179 + 7.50631i −0.232036 + 0.344776i
\(475\) −18.7990 + 11.0271i −0.862558 + 0.505958i
\(476\) 23.0605i 1.05698i
\(477\) −4.94217 + 9.34140i −0.226286 + 0.427713i
\(478\) −17.0073 6.19015i −0.777895 0.283131i
\(479\) −28.3407 4.99723i −1.29492 0.228329i −0.516616 0.856217i \(-0.672809\pi\)
−0.778304 + 0.627888i \(0.783920\pi\)
\(480\) 2.09811 3.25545i 0.0957651 0.148590i
\(481\) 6.45114 2.34802i 0.294147 0.107061i
\(482\) 11.7886 20.4185i 0.536958 0.930039i
\(483\) 1.42094 20.6267i 0.0646548 0.938546i
\(484\) −8.41809 7.06361i −0.382640 0.321073i
\(485\) −15.1942 17.3933i −0.689932 0.789789i
\(486\) −10.0816 11.8895i −0.457313 0.539319i
\(487\) 7.34528 12.7224i 0.332847 0.576507i −0.650222 0.759744i \(-0.725324\pi\)
0.983069 + 0.183237i \(0.0586575\pi\)
\(488\) 4.76785 + 13.0996i 0.215830 + 0.592989i
\(489\) −10.2061 + 22.9872i −0.461537 + 1.03952i
\(490\) 30.9235 + 10.5638i 1.39698 + 0.477222i
\(491\) 6.21043 17.0630i 0.280273 0.770043i −0.717057 0.697014i \(-0.754511\pi\)
0.997330 0.0730283i \(-0.0232663\pi\)
\(492\) 0.177625 + 1.67335i 0.00800795 + 0.0754404i
\(493\) −38.7986 −1.74740
\(494\) −6.18164 0.203308i −0.278125 0.00914726i
\(495\) −0.683787 + 0.161108i −0.0307340 + 0.00724129i
\(496\) 2.20034 + 2.62226i 0.0987980 + 0.117743i
\(497\) 25.0363 68.7866i 1.12303 3.08550i
\(498\) −5.98728 + 6.21285i −0.268296 + 0.278404i
\(499\) −1.06610 6.04615i −0.0477251 0.270663i 0.951602 0.307332i \(-0.0994362\pi\)
−0.999327 + 0.0366694i \(0.988325\pi\)
\(500\) 11.1066 + 1.28155i 0.496704 + 0.0573125i
\(501\) −22.7110 + 11.1060i −1.01465 + 0.496178i
\(502\) −5.21811 9.03804i −0.232896 0.403387i
\(503\) 2.08015 + 1.74545i 0.0927493 + 0.0778259i 0.687983 0.725727i \(-0.258496\pi\)
−0.595234 + 0.803552i \(0.702941\pi\)
\(504\) 4.28252 13.2735i 0.190759 0.591250i
\(505\) 0.525589 0.203223i 0.0233884 0.00904329i
\(506\) −0.134445 + 0.232866i −0.00597681 + 0.0103521i
\(507\) 4.58454 18.4689i 0.203607 0.820233i
\(508\) 0.682958 + 3.87325i 0.0303014 + 0.171848i
\(509\) 3.05486 17.3250i 0.135404 0.767917i −0.839173 0.543865i \(-0.816960\pi\)
0.974577 0.224052i \(-0.0719285\pi\)
\(510\) −8.78081 17.0867i −0.388821 0.756611i
\(511\) −26.8280 + 22.5114i −1.18680 + 0.995843i
\(512\) 1.00000i 0.0441942i
\(513\) 16.3732 + 15.6499i 0.722894 + 0.690959i
\(514\) −9.34242 −0.412076
\(515\) 28.5211 17.2317i 1.25679 0.759320i
\(516\) 3.64546 + 5.00665i 0.160482 + 0.220406i
\(517\) 0.546751 + 0.0964070i 0.0240461 + 0.00423997i
\(518\) −3.90596 22.1518i −0.171618 0.973294i
\(519\) −6.41102 1.59141i −0.281412 0.0698551i
\(520\) 2.47060 + 1.99072i 0.108343 + 0.0872989i
\(521\) −4.11931 7.13485i −0.180470 0.312584i 0.761571 0.648082i \(-0.224429\pi\)
−0.942041 + 0.335498i \(0.891095\pi\)
\(522\) −22.3323 7.20520i −0.977458 0.315363i
\(523\) −11.6036 9.73660i −0.507391 0.425752i 0.352819 0.935692i \(-0.385223\pi\)
−0.860210 + 0.509940i \(0.829668\pi\)
\(524\) −7.03037 + 4.05898i −0.307123 + 0.177318i
\(525\) 39.8368 5.83846i 1.73862 0.254811i
\(526\) 4.41912 + 12.1414i 0.192683 + 0.529391i
\(527\) 16.7215 2.94844i 0.728398 0.128436i
\(528\) −0.125867 + 0.130609i −0.00547768 + 0.00568404i
\(529\) 15.4179 + 5.61166i 0.670344 + 0.243985i
\(530\) −6.74208 + 4.07340i −0.292857 + 0.176937i
\(531\) 2.93411 + 7.21918i 0.127330 + 0.313286i
\(532\) −4.17308 + 19.8306i −0.180926 + 0.859766i
\(533\) −1.37854 −0.0597113
\(534\) 29.8909 3.17290i 1.29351 0.137305i
\(535\) −10.5670 + 19.1731i −0.456850 + 0.828927i
\(536\) −6.87076 1.21150i −0.296771 0.0523288i
\(537\) 38.0313 + 16.8855i 1.64117 + 0.728665i
\(538\) −9.49400 26.0845i −0.409315 1.12458i
\(539\) −1.32540 0.765223i −0.0570892 0.0329605i
\(540\) −1.88107 11.4657i −0.0809482 0.493404i
\(541\) −22.8092 19.1392i −0.980642 0.822856i 0.00354414 0.999994i \(-0.498872\pi\)
−0.984186 + 0.177137i \(0.943316\pi\)
\(542\) −3.38219 + 4.03074i −0.145278 + 0.173135i
\(543\) 0.527447 7.65656i 0.0226349 0.328574i
\(544\) −4.29568 2.48011i −0.184176 0.106334i
\(545\) 4.15470 + 21.1000i 0.177968 + 0.903825i
\(546\) 10.4429 + 4.63654i 0.446914 + 0.198426i
\(547\) 2.67401 15.1651i 0.114332 0.648411i −0.872746 0.488174i \(-0.837663\pi\)
0.987079 0.160237i \(-0.0512258\pi\)
\(548\) 8.23974 + 2.99902i 0.351984 + 0.128112i
\(549\) 36.9661 + 19.5573i 1.57767 + 0.834685i
\(550\) −0.498774 0.159384i −0.0212678 0.00679614i
\(551\) 33.3644 + 7.02108i 1.42137 + 0.299108i
\(552\) −3.68948 2.48304i −0.157035 0.105685i
\(553\) −18.6042 + 15.6108i −0.791132 + 0.663838i
\(554\) 13.7224 + 4.99456i 0.583011 + 0.212199i
\(555\) −11.3289 14.9261i −0.480885 0.633576i
\(556\) 2.54586 + 14.4383i 0.107968 + 0.612319i
\(557\) −5.29473 + 1.92712i −0.224345 + 0.0816549i −0.451747 0.892146i \(-0.649199\pi\)
0.227402 + 0.973801i \(0.426977\pi\)
\(558\) 10.1723 + 1.40819i 0.430629 + 0.0596135i
\(559\) −4.39387 + 2.53680i −0.185841 + 0.107295i
\(560\) 7.82912 6.83925i 0.330841 0.289011i
\(561\) 0.248891 + 0.864612i 0.0105082 + 0.0365039i
\(562\) 5.07357 2.92923i 0.214016 0.123562i
\(563\) −18.1001 10.4501i −0.762827 0.440418i 0.0674831 0.997720i \(-0.478503\pi\)
−0.830310 + 0.557302i \(0.811836\pi\)
\(564\) −2.21219 + 8.91185i −0.0931501 + 0.375257i
\(565\) −3.10864 + 0.0618238i −0.130781 + 0.00260095i
\(566\) 5.68139 32.2208i 0.238807 1.35434i
\(567\) −17.1765 38.1537i −0.721345 1.60231i
\(568\) −10.1209 12.0616i −0.424662 0.506092i
\(569\) −17.8675 −0.749045 −0.374522 0.927218i \(-0.622193\pi\)
−0.374522 + 0.927218i \(0.622193\pi\)
\(570\) 4.45890 + 16.2824i 0.186763 + 0.681997i
\(571\) 43.7370 1.83034 0.915169 0.403070i \(-0.132057\pi\)
0.915169 + 0.403070i \(0.132057\pi\)
\(572\) −0.0955159 0.113831i −0.00399372 0.00475953i
\(573\) −8.22305 11.2935i −0.343523 0.471793i
\(574\) −0.784328 + 4.44814i −0.0327372 + 0.185662i
\(575\) 1.72485 12.7216i 0.0719314 0.530529i
\(576\) −2.01200 2.22528i −0.0838332 0.0927200i
\(577\) 9.66319 + 5.57905i 0.402284 + 0.232259i 0.687469 0.726214i \(-0.258722\pi\)
−0.285185 + 0.958472i \(0.592055\pi\)
\(578\) −6.58509 + 3.80191i −0.273904 + 0.158138i
\(579\) 28.4896 8.20115i 1.18399 0.340828i
\(580\) −11.5068 13.1722i −0.477795 0.546948i
\(581\) −20.0568 + 11.5798i −0.832097 + 0.480411i
\(582\) −16.0709 + 7.85885i −0.666159 + 0.325760i
\(583\) 0.346667 0.126176i 0.0143575 0.00522569i
\(584\) 1.30808 + 7.41852i 0.0541289 + 0.306980i
\(585\) 9.50310 0.540918i 0.392905 0.0223642i
\(586\) 22.6674 + 8.25027i 0.936383 + 0.340816i
\(587\) 15.8043 13.2614i 0.652313 0.547356i −0.255459 0.966820i \(-0.582226\pi\)
0.907772 + 0.419464i \(0.137782\pi\)
\(588\) 14.1328 20.9995i 0.582826 0.866004i
\(589\) −14.9130 0.490473i −0.614477 0.0202096i
\(590\) −0.894665 + 5.73899i −0.0368328 + 0.236270i
\(591\) 4.33379 + 40.8273i 0.178268 + 1.67941i
\(592\) −4.54648 1.65478i −0.186859 0.0680111i
\(593\) 4.71813 26.7579i 0.193751 1.09881i −0.720436 0.693521i \(-0.756058\pi\)
0.914187 0.405293i \(-0.132830\pi\)
\(594\) −0.0173047 + 0.543887i −0.000710019 + 0.0223160i
\(595\) −9.96212 50.5935i −0.408407 2.07413i
\(596\) 12.7646 + 7.36966i 0.522860 + 0.301873i
\(597\) 11.0930 + 0.764178i 0.454006 + 0.0312757i
\(598\) 2.34184 2.79090i 0.0957649 0.114128i
\(599\) 30.3008 + 25.4254i 1.23806 + 1.03885i 0.997673 + 0.0681734i \(0.0217171\pi\)
0.240382 + 0.970678i \(0.422727\pi\)
\(600\) 3.19678 8.04864i 0.130508 0.328584i
\(601\) 23.4964 + 13.5657i 0.958440 + 0.553355i 0.895692 0.444674i \(-0.146681\pi\)
0.0627471 + 0.998029i \(0.480014\pi\)
\(602\) 5.68559 + 15.6210i 0.231727 + 0.636666i
\(603\) −17.7269 + 11.1280i −0.721895 + 0.453167i
\(604\) 17.5401 + 3.09279i 0.713695 + 0.125844i
\(605\) −21.5203 11.8606i −0.874923 0.482200i
\(606\) −0.0460746 0.434054i −0.00187165 0.0176323i
\(607\) 39.3335 1.59650 0.798249 0.602327i \(-0.205760\pi\)
0.798249 + 0.602327i \(0.205760\pi\)
\(608\) 3.24521 + 2.91009i 0.131610 + 0.118020i
\(609\) −52.2542 35.1674i −2.11745 1.42505i
\(610\) 16.1194 + 26.6800i 0.652654 + 1.08024i
\(611\) −7.06869 2.57279i −0.285968 0.104084i
\(612\) −14.5491 + 3.12395i −0.588111 + 0.126278i
\(613\) 5.75767 1.01523i 0.232550 0.0410049i −0.0561585 0.998422i \(-0.517885\pi\)
0.288709 + 0.957417i \(0.406774\pi\)
\(614\) 2.19838 + 6.04000i 0.0887195 + 0.243755i
\(615\) 1.11258 + 3.59450i 0.0448637 + 0.144944i
\(616\) −0.421644 + 0.243436i −0.0169885 + 0.00980832i
\(617\) −18.0654 15.1587i −0.727286 0.610265i 0.202104 0.979364i \(-0.435222\pi\)
−0.929390 + 0.369099i \(0.879666\pi\)
\(618\) −7.14023 24.8042i −0.287222 0.997770i
\(619\) 8.89449 + 15.4057i 0.357500 + 0.619208i 0.987542 0.157353i \(-0.0502959\pi\)
−0.630043 + 0.776561i \(0.716963\pi\)
\(620\) 5.96022 + 4.80254i 0.239368 + 0.192875i
\(621\) −13.2060 + 1.89776i −0.529939 + 0.0761544i
\(622\) −1.35476 7.68323i −0.0543210 0.308069i
\(623\) 79.4569 + 14.0104i 3.18337 + 0.561315i
\(624\) 1.98680 1.44663i 0.0795355 0.0579116i
\(625\) 24.9210 1.98642i 0.996838 0.0794567i
\(626\) −31.3013 −1.25105
\(627\) −0.0575685 0.788551i −0.00229906 0.0314917i
\(628\) 18.0279i 0.719393i
\(629\) −18.3842 + 15.4262i −0.733025 + 0.615081i
\(630\) 3.66145 30.9714i 0.145876 1.23393i
\(631\) −1.34554 + 7.63096i −0.0535652 + 0.303784i −0.999806 0.0196786i \(-0.993736\pi\)
0.946241 + 0.323462i \(0.104847\pi\)
\(632\) 0.907108 + 5.14447i 0.0360828 + 0.204636i
\(633\) 11.5415 + 2.86495i 0.458733 + 0.113872i
\(634\) 8.72155 15.1062i 0.346377 0.599942i
\(635\) 3.17161 + 8.20264i 0.125861 + 0.325512i
\(636\) 1.68788 + 5.86345i 0.0669287 + 0.232501i
\(637\) 15.8850 + 13.3291i 0.629386 + 0.528117i
\(638\) 0.409574 + 0.709402i 0.0162152 + 0.0280855i
\(639\) −46.7896 6.47724i −1.85097 0.256236i
\(640\) −0.431998 2.19394i −0.0170762 0.0867231i
\(641\) −6.12309 34.7258i −0.241847 1.37159i −0.827702 0.561169i \(-0.810352\pi\)
0.585854 0.810417i \(-0.300759\pi\)
\(642\) 12.2105 + 11.7672i 0.481909 + 0.464413i
\(643\) 7.08140 19.4560i 0.279263 0.767269i −0.718184 0.695854i \(-0.755026\pi\)
0.997447 0.0714154i \(-0.0227516\pi\)
\(644\) −7.67298 9.14430i −0.302358 0.360336i
\(645\) 10.1608 + 9.40947i 0.400081 + 0.370497i
\(646\) 20.5493 6.72301i 0.808501 0.264513i
\(647\) −39.3673 −1.54769 −0.773843 0.633377i \(-0.781668\pi\)
−0.773843 + 0.633377i \(0.781668\pi\)
\(648\) −8.95451 0.903744i −0.351766 0.0355024i
\(649\) 0.0930385 0.255621i 0.00365208 0.0100340i
\(650\) 6.28033 + 3.30023i 0.246335 + 0.129446i
\(651\) 25.1930 + 11.1855i 0.987392 + 0.438393i
\(652\) 4.96647 + 13.6453i 0.194502 + 0.534390i
\(653\) −10.7121 + 18.5539i −0.419196 + 0.726069i −0.995859 0.0909135i \(-0.971021\pi\)
0.576663 + 0.816982i \(0.304355\pi\)
\(654\) 16.6184 + 1.14482i 0.649832 + 0.0447658i
\(655\) −13.6707 + 11.9423i −0.534160 + 0.466624i
\(656\) 0.744240 + 0.624492i 0.0290577 + 0.0243823i
\(657\) 17.8369 + 13.8764i 0.695883 + 0.541371i
\(658\) −12.3234 + 21.3447i −0.480415 + 0.832104i
\(659\) 2.57407 0.936884i 0.100271 0.0364958i −0.291397 0.956602i \(-0.594120\pi\)
0.391669 + 0.920106i \(0.371898\pi\)
\(660\) −0.219723 + 0.340924i −0.00855269 + 0.0132704i
\(661\) −35.3289 6.22944i −1.37413 0.242297i −0.562662 0.826687i \(-0.690223\pi\)
−0.811473 + 0.584390i \(0.801334\pi\)
\(662\) 0.132062 + 0.0480668i 0.00513275 + 0.00186817i
\(663\) −1.28679 12.1224i −0.0499747 0.470797i
\(664\) 4.98153i 0.193321i
\(665\) −0.588703 + 45.3099i −0.0228289 + 1.75704i
\(666\) −13.4466 + 5.46514i −0.521045 + 0.211770i
\(667\) −15.3850 + 12.9095i −0.595710 + 0.499860i
\(668\) −4.99213 + 13.7158i −0.193152 + 0.530679i
\(669\) −17.3809 16.7499i −0.671986 0.647588i
\(670\) −15.5974 + 0.310197i −0.602580 + 0.0119840i
\(671\) −0.499309 1.37184i −0.0192756 0.0529593i
\(672\) −3.53745 7.23386i −0.136460 0.279052i
\(673\) 6.79756 + 11.7737i 0.262027 + 0.453843i 0.966780 0.255609i \(-0.0822759\pi\)
−0.704754 + 0.709452i \(0.748943\pi\)
\(674\) 9.40690 11.2107i 0.362340 0.431821i
\(675\) −9.08010 24.3424i −0.349493 0.936939i
\(676\) −5.49332 9.51470i −0.211281 0.365950i
\(677\) 20.5592 + 11.8699i 0.790155 + 0.456196i 0.840017 0.542560i \(-0.182545\pi\)
−0.0498619 + 0.998756i \(0.515878\pi\)
\(678\) −0.580233 + 2.33748i −0.0222837 + 0.0897703i
\(679\) −47.2887 + 8.33827i −1.81477 + 0.319993i
\(680\) −10.4959 3.58549i −0.402498 0.137497i
\(681\) 1.61955 + 2.22428i 0.0620613 + 0.0852347i
\(682\) −0.230428 0.274614i −0.00882355 0.0105155i
\(683\) 10.3244i 0.395053i 0.980298 + 0.197527i \(0.0632909\pi\)
−0.980298 + 0.197527i \(0.936709\pi\)
\(684\) 13.0766 0.0535686i 0.499996 0.00204825i
\(685\) 19.3731 + 3.02012i 0.740207 + 0.115393i
\(686\) 27.1169 22.7537i 1.03533 0.868742i
\(687\) −23.6832 + 17.2443i −0.903571 + 0.657910i
\(688\) 3.52133 + 0.620906i 0.134250 + 0.0236718i
\(689\) −4.92258 + 0.867983i −0.187535 + 0.0330675i
\(690\) −9.16718 3.85380i −0.348989 0.146712i
\(691\) −21.6242 + 37.4542i −0.822624 + 1.42483i 0.0810981 + 0.996706i \(0.474157\pi\)
−0.903722 + 0.428120i \(0.859176\pi\)
\(692\) −3.30279 + 1.90687i −0.125553 + 0.0724882i
\(693\) −0.448483 + 1.39006i −0.0170365 + 0.0528040i
\(694\) −5.65691 + 6.74164i −0.214733 + 0.255909i
\(695\) 11.8228 + 30.5769i 0.448463 + 1.15985i
\(696\) −12.1707 + 5.95164i −0.461331 + 0.225596i
\(697\) 4.52841 1.64821i 0.171526 0.0624303i
\(698\) −6.55762 + 1.15629i −0.248210 + 0.0437661i
\(699\) −18.1965 17.5359i −0.688256 0.663268i
\(700\) 14.2221 18.3871i 0.537544 0.694966i
\(701\) 23.1763 + 27.6204i 0.875355 + 1.04321i 0.998707 + 0.0508447i \(0.0161913\pi\)
−0.123351 + 0.992363i \(0.539364\pi\)
\(702\) 1.51056 7.21658i 0.0570124 0.272372i
\(703\) 18.6008 9.93868i 0.701541 0.374844i
\(704\) 0.104724i 0.00394694i
\(705\) −1.00352 + 20.5077i −0.0377946 + 0.772366i
\(706\) −5.29715 + 14.5538i −0.199361 + 0.547740i
\(707\) 0.203449 1.15382i 0.00765148 0.0433937i
\(708\) 4.11201 + 1.82570i 0.154539 + 0.0686139i
\(709\) 20.4424 7.44043i 0.767731 0.279431i 0.0716841 0.997427i \(-0.477163\pi\)
0.696047 + 0.717996i \(0.254940\pi\)
\(710\) −27.4151 22.0902i −1.02887 0.829029i
\(711\) 12.3692 + 9.62278i 0.463882 + 0.360883i
\(712\) 11.1553 13.2943i 0.418061 0.498225i
\(713\) 5.64960 6.73293i 0.211579 0.252150i
\(714\) −39.8476 2.74503i −1.49126 0.102730i
\(715\) −0.258731 0.208477i −0.00967600 0.00779658i
\(716\) 22.5754 8.21679i 0.843684 0.307076i
\(717\) −12.7208 + 28.6510i −0.475066 + 1.06999i
\(718\) 1.76453 10.0071i 0.0658517 0.373463i
\(719\) −3.97741 + 10.9278i −0.148332 + 0.407539i −0.991499 0.130112i \(-0.958466\pi\)
0.843167 + 0.537652i \(0.180688\pi\)
\(720\) −5.37552 4.01295i −0.200334 0.149554i
\(721\) 69.2819i 2.58019i
\(722\) −18.8877 + 2.06272i −0.702927 + 0.0767664i
\(723\) −33.8790 22.8008i −1.25998 0.847971i
\(724\) −2.84819 3.39434i −0.105852 0.126149i
\(725\) −30.9357 23.9282i −1.14892 0.888671i
\(726\) −13.2077 + 13.7053i −0.490182 + 0.508650i
\(727\) 17.0160 3.00037i 0.631087 0.111278i 0.151051 0.988526i \(-0.451734\pi\)
0.480037 + 0.877248i \(0.340623\pi\)
\(728\) 6.19891 2.25622i 0.229747 0.0836211i
\(729\) −21.7446 + 16.0054i −0.805356 + 0.592791i
\(730\) 6.07465 + 15.7107i 0.224833 + 0.581479i
\(731\) 11.4005 13.5866i 0.421663 0.502519i
\(732\) 23.2030 6.67932i 0.857608 0.246875i
\(733\) −18.0954 + 10.4474i −0.668370 + 0.385883i −0.795459 0.606008i \(-0.792770\pi\)
0.127089 + 0.991891i \(0.459437\pi\)
\(734\) 1.91466 3.31628i 0.0706713 0.122406i
\(735\) 21.9347 52.1770i 0.809075 1.92458i
\(736\) −2.52860 + 0.445860i −0.0932054 + 0.0164346i
\(737\) 0.719534 + 0.126873i 0.0265044 + 0.00467343i
\(738\) 2.91262 0.107739i 0.107215 0.00396594i
\(739\) −16.6566 + 13.9765i −0.612721 + 0.514134i −0.895506 0.445049i \(-0.853186\pi\)
0.282785 + 0.959183i \(0.408742\pi\)
\(740\) −10.6896 1.66642i −0.392956 0.0612589i
\(741\) −1.08714 + 10.6574i −0.0399372 + 0.391509i
\(742\) 16.3775i 0.601238i
\(743\) −10.9830 13.0890i −0.402927 0.480190i 0.525983 0.850495i \(-0.323697\pi\)
−0.928910 + 0.370305i \(0.879253\pi\)
\(744\) 4.79307 3.48994i 0.175722 0.127947i
\(745\) 31.1885 + 10.6543i 1.14266 + 0.390344i
\(746\) −10.3573 + 1.82628i −0.379209 + 0.0668648i
\(747\) 10.0228 + 11.0853i 0.366716 + 0.405590i
\(748\) 0.449861 + 0.259727i 0.0164486 + 0.00949658i
\(749\) 22.7585 + 39.4189i 0.831577 + 1.44033i
\(750\) 3.53655 19.0392i 0.129136 0.695215i
\(751\) 3.26720 3.89370i 0.119222 0.142083i −0.703132 0.711059i \(-0.748216\pi\)
0.822354 + 0.568976i \(0.192660\pi\)
\(752\) 2.65071 + 4.59116i 0.0966613 + 0.167422i
\(753\) −16.2385 + 7.94082i −0.591763 + 0.289379i
\(754\) −3.79602 10.4295i −0.138243 0.379819i
\(755\) 39.8179 0.791889i 1.44912 0.0288198i
\(756\) −22.4263 8.98003i −0.815637 0.326600i
\(757\) −7.50444 + 20.6183i −0.272754 + 0.749385i 0.725382 + 0.688347i \(0.241663\pi\)
−0.998135 + 0.0610378i \(0.980559\pi\)
\(758\) −23.7223 + 19.9053i −0.861632 + 0.722995i
\(759\) 0.386378 + 0.260035i 0.0140246 + 0.00943866i
\(760\) 8.37695 + 4.98265i 0.303864 + 0.180740i
\(761\) 42.6627i 1.54652i −0.634089 0.773260i \(-0.718625\pi\)
0.634089 0.773260i \(-0.281375\pi\)
\(762\) 6.77410 0.719066i 0.245400 0.0260490i
\(763\) 42.0157 + 15.2925i 1.52107 + 0.553624i
\(764\) −7.94306 1.40058i −0.287370 0.0506711i
\(765\) −30.5702 + 13.1389i −1.10527 + 0.475039i
\(766\) −5.63403 + 2.05062i −0.203566 + 0.0740918i
\(767\) −1.84287 + 3.19195i −0.0665423 + 0.115255i
\(768\) −1.72796 0.119036i −0.0623522 0.00429534i
\(769\) −5.51613 4.62858i −0.198917 0.166911i 0.537889 0.843016i \(-0.319222\pi\)
−0.736805 + 0.676105i \(0.763667\pi\)
\(770\) −0.819897 + 0.716234i −0.0295471 + 0.0258113i
\(771\) −1.11208 + 16.1433i −0.0400507 + 0.581386i
\(772\) 8.55822 14.8233i 0.308017 0.533501i
\(773\) 0.874302 + 2.40212i 0.0314465 + 0.0863984i 0.954422 0.298459i \(-0.0964727\pi\)
−0.922976 + 0.384858i \(0.874251\pi\)
\(774\) 9.08521 5.70322i 0.326561 0.204998i
\(775\) 15.1511 + 7.96168i 0.544242 + 0.285992i
\(776\) −3.53256 + 9.70562i −0.126811 + 0.348411i
\(777\) −38.7423 + 4.11246i −1.38987 + 0.147534i
\(778\) 34.2743 1.22879
\(779\) −4.19241 + 0.597884i −0.150209 + 0.0214214i
\(780\) 3.73397 4.03212i 0.133698 0.144373i
\(781\) 1.05990 + 1.26314i 0.0379261 + 0.0451986i
\(782\) −4.35593 + 11.9678i −0.155768 + 0.427969i
\(783\) −15.1086 + 37.7316i −0.539938 + 1.34842i
\(784\) −2.53771 14.3921i −0.0906324 0.514002i
\(785\) 7.78804 + 39.5523i 0.277967 + 1.41168i
\(786\) 6.17688 + 12.6313i 0.220322 + 0.450545i
\(787\) −0.218345 0.378184i −0.00778315 0.0134808i 0.862108 0.506725i \(-0.169144\pi\)
−0.869891 + 0.493244i \(0.835811\pi\)
\(788\) 18.1584 + 15.2367i 0.646866 + 0.542785i
\(789\) 21.5059 6.19077i 0.765630 0.220397i
\(790\) 4.21254 + 10.8948i 0.149876 + 0.387619i
\(791\) −3.23228 + 5.59848i −0.114927 + 0.199059i
\(792\) 0.210704 + 0.233040i 0.00748706 + 0.00828073i
\(793\) 3.43481 + 19.4798i 0.121974 + 0.691747i
\(794\) −4.18108 + 23.7121i −0.148381 + 0.841511i
\(795\) 6.23610 + 12.1349i 0.221172 + 0.430380i
\(796\) 4.91779 4.12652i 0.174307 0.146261i
\(797\) 14.2821i 0.505898i 0.967480 + 0.252949i \(0.0814005\pi\)
−0.967480 + 0.252949i \(0.918600\pi\)
\(798\) 33.7697 + 9.57145i 1.19543 + 0.338826i
\(799\) 26.2962 0.930292
\(800\) −1.89556 4.62675i −0.0670181 0.163580i
\(801\) −1.92454 52.0279i −0.0680003 1.83832i
\(802\) 11.8344 + 2.08673i 0.417887 + 0.0736848i
\(803\) −0.136988 0.776898i −0.00483420 0.0274161i
\(804\) −2.91128 + 11.7281i −0.102673 + 0.413620i
\(805\) −20.7844 16.7473i −0.732554 0.590266i
\(806\) 2.42858 + 4.20643i 0.0855432 + 0.148165i
\(807\) −46.2031 + 13.3002i −1.62642 + 0.468190i
\(808\) −0.193050 0.161988i −0.00679149 0.00569873i
\(809\) −16.2829 + 9.40094i −0.572476 + 0.330519i −0.758138 0.652094i \(-0.773891\pi\)
0.185661 + 0.982614i \(0.440557\pi\)
\(810\) −20.0361 + 1.88557i −0.703996 + 0.0662523i
\(811\) −0.0966504 0.265545i −0.00339386 0.00932454i 0.937984 0.346678i \(-0.112690\pi\)
−0.941378 + 0.337354i \(0.890468\pi\)
\(812\) −35.8125 + 6.31472i −1.25677 + 0.221603i
\(813\) 6.56234 + 6.32408i 0.230151 + 0.221795i
\(814\) 0.476126 + 0.173296i 0.0166882 + 0.00607401i
\(815\) 16.7909 + 27.7914i 0.588159 + 0.973491i
\(816\) −4.79686 + 7.12752i −0.167924 + 0.249513i
\(817\) −12.2624 + 9.62055i −0.429006 + 0.336581i
\(818\) 27.6591 0.967077
\(819\) 9.25481 17.4929i 0.323389 0.611252i
\(820\) 1.90260 + 1.04859i 0.0664416 + 0.0366183i
\(821\) 5.42717 + 0.956956i 0.189410 + 0.0333980i 0.267548 0.963544i \(-0.413787\pi\)
−0.0781386 + 0.996943i \(0.524898\pi\)
\(822\) 6.16300 13.8809i 0.214959 0.484152i
\(823\) 1.02518 + 2.81666i 0.0357355 + 0.0981824i 0.956277 0.292462i \(-0.0944745\pi\)
−0.920542 + 0.390644i \(0.872252\pi\)
\(824\) −12.9057 7.45112i −0.449592 0.259572i
\(825\) −0.334780 + 0.842887i −0.0116555 + 0.0293455i
\(826\) 9.25096 + 7.76247i 0.321882 + 0.270091i
\(827\) −20.5422 + 24.4813i −0.714324 + 0.851298i −0.994066 0.108777i \(-0.965306\pi\)
0.279743 + 0.960075i \(0.409751\pi\)
\(828\) −4.72977 + 6.07969i −0.164371 + 0.211284i
\(829\) 32.0273 + 18.4910i 1.11235 + 0.642217i 0.939438 0.342719i \(-0.111348\pi\)
0.172915 + 0.984937i \(0.444681\pi\)
\(830\) 2.15201 + 10.9292i 0.0746975 + 0.379358i
\(831\) 10.2638 23.1172i 0.356049 0.801928i
\(832\) 0.246395 1.39737i 0.00854220 0.0484452i
\(833\) −68.1174 24.7927i −2.36013 0.859017i
\(834\) 25.2517 2.68045i 0.874396 0.0928165i
\(835\) −5.02725 + 32.2482i −0.173975 + 1.11600i
\(836\) −0.339851 0.304757i −0.0117540 0.0105402i
\(837\) 3.64417 17.4097i 0.125961 0.601768i
\(838\) 29.0845 24.4048i 1.00471 0.843049i
\(839\) −23.3399 8.49502i −0.805782 0.293281i −0.0939019 0.995581i \(-0.529934\pi\)
−0.711880 + 0.702301i \(0.752156\pi\)
\(840\) −10.8860 14.3425i −0.375602 0.494863i
\(841\) 5.58851 + 31.6940i 0.192707 + 1.09290i
\(842\) 13.0758 4.75919i 0.450621 0.164013i
\(843\) −4.45764 9.11559i −0.153529 0.313958i
\(844\) 5.94588 3.43286i 0.204666 0.118164i
\(845\) −16.1624 18.5016i −0.556002 0.636474i
\(846\) 15.1360 + 4.88340i 0.520385 + 0.167895i
\(847\) −44.2444 + 25.5445i −1.52026 + 0.877720i
\(848\) 3.05078 + 1.76137i 0.104764 + 0.0604856i
\(849\) −54.9997 13.6526i −1.88759 0.468556i
\(850\) −24.5762 3.33216i −0.842958 0.114292i
\(851\) −2.15719 + 12.2340i −0.0739474 + 0.419376i
\(852\) −22.0466 + 16.0526i −0.755304 + 0.549954i
\(853\) −8.70427 10.3733i −0.298029 0.355177i 0.596161 0.802865i \(-0.296692\pi\)
−0.894190 + 0.447688i \(0.852247\pi\)
\(854\) 64.8096 2.21774
\(855\) 28.6661 5.76659i 0.980361 0.197213i
\(856\) 9.79051 0.334633
\(857\) 3.60871 + 4.30070i 0.123271 + 0.146909i 0.824150 0.566371i \(-0.191653\pi\)
−0.700879 + 0.713280i \(0.747209\pi\)
\(858\) −0.208065 + 0.151497i −0.00710323 + 0.00517203i
\(859\) −8.00419 + 45.3940i −0.273100 + 1.54882i 0.471835 + 0.881687i \(0.343592\pi\)
−0.744935 + 0.667138i \(0.767519\pi\)
\(860\) 7.99383 0.158979i 0.272587 0.00542115i
\(861\) 7.59283 + 1.88477i 0.258763 + 0.0642329i
\(862\) 16.6353 + 9.60439i 0.566600 + 0.327127i
\(863\) 32.7774 18.9240i 1.11575 0.644181i 0.175441 0.984490i \(-0.443865\pi\)
0.940314 + 0.340309i \(0.110532\pi\)
\(864\) −4.08469 + 3.21175i −0.138964 + 0.109266i
\(865\) −6.42237 + 5.61036i −0.218367 + 0.190758i
\(866\) −29.0943 + 16.7976i −0.988664 + 0.570805i
\(867\) 5.78566 + 11.8313i 0.196491 + 0.401812i
\(868\) 14.9546 5.44304i 0.507593 0.184749i
\(869\) −0.0949961 0.538750i −0.00322252 0.0182758i
\(870\) −24.1308 + 18.3153i −0.818110 + 0.620947i
\(871\) −9.30251 3.38584i −0.315204 0.114725i
\(872\) 7.36735 6.18194i 0.249490 0.209347i
\(873\) 11.6667 + 28.7052i 0.394859 + 0.971524i
\(874\) 5.91155 9.50331i 0.199961 0.321454i
\(875\) 23.2592 46.4841i 0.786305 1.57145i
\(876\) 12.9746 1.37724i 0.438370 0.0465327i
\(877\) −31.1984 11.3553i −1.05349 0.383441i −0.243514 0.969897i \(-0.578300\pi\)
−0.809980 + 0.586457i \(0.800522\pi\)
\(878\) −4.61785 + 26.1891i −0.155845 + 0.883840i
\(879\) 16.9543 38.1862i 0.571856 1.28799i
\(880\) 0.0452407 + 0.229759i 0.00152506 + 0.00774516i
\(881\) 10.6331 + 6.13903i 0.358239 + 0.206829i 0.668308 0.743885i \(-0.267019\pi\)
−0.310069 + 0.950714i \(0.600352\pi\)
\(882\) −34.6039 26.9205i −1.16517 0.906460i
\(883\) −1.21639 + 1.44963i −0.0409346 + 0.0487840i −0.786123 0.618070i \(-0.787915\pi\)
0.745189 + 0.666854i \(0.232359\pi\)
\(884\) −5.39159 4.52408i −0.181339 0.152161i
\(885\) 9.81022 + 2.22909i 0.329767 + 0.0749299i
\(886\) −26.2730 15.1687i −0.882658 0.509603i
\(887\) 11.6872 + 32.1104i 0.392419 + 1.07816i 0.965894 + 0.258939i \(0.0833730\pi\)
−0.573474 + 0.819224i \(0.694405\pi\)
\(888\) −3.40058 + 7.65913i −0.114116 + 0.257024i
\(889\) 18.0071 + 3.17514i 0.603939 + 0.106491i
\(890\) 18.7308 33.9860i 0.627859 1.13921i
\(891\) 0.937753 + 0.0946438i 0.0314159 + 0.00317069i
\(892\) −13.9362 −0.466619
\(893\) −22.6130 4.75861i −0.756717 0.159241i
\(894\) 14.2539 21.1795i 0.476722 0.708347i
\(895\) 45.9796 27.7797i 1.53693 0.928573i
\(896\) −4.36872 1.59008i −0.145949 0.0531210i
\(897\) −4.54378 4.37881i −0.151712 0.146204i
\(898\) −4.26339 + 0.751751i −0.142271 + 0.0250863i
\(899\) −9.15775 25.1607i −0.305428 0.839156i
\(900\) −13.5272 6.48197i −0.450905 0.216066i
\(901\) 15.1325 8.73677i 0.504138 0.291064i
\(902\) −0.0779399 0.0653993i −0.00259511 0.00217756i
\(903\) 27.6692 7.96499i 0.920775 0.265058i
\(904\) 0.695250 + 1.20421i 0.0231237 + 0.0400514i
\(905\) −7.71510 6.21656i −0.256459 0.206645i
\(906\) 7.43209 29.9403i 0.246915 0.994700i
\(907\) −6.05787 34.3559i −0.201148 1.14077i −0.903387 0.428826i \(-0.858927\pi\)
0.702239 0.711941i \(-0.252184\pi\)
\(908\) 1.56441 + 0.275847i 0.0519167 + 0.00915431i
\(909\) −0.755511 + 0.0279468i −0.0250587 + 0.000926936i
\(910\) 12.6254 7.62793i 0.418527 0.252864i
\(911\) −39.7431 −1.31675 −0.658374 0.752691i \(-0.728755\pi\)
−0.658374 + 0.752691i \(0.728755\pi\)
\(912\) 5.41481 5.26117i 0.179302 0.174215i
\(913\) 0.521687i 0.0172653i
\(914\) −18.6944 + 15.6865i −0.618356 + 0.518862i
\(915\) 48.0206 24.6777i 1.58751 0.815819i
\(916\) −2.93710 + 16.6571i −0.0970445 + 0.550367i
\(917\) 6.55369 + 37.1678i 0.216422 + 1.22739i
\(918\) 3.66618 + 25.5120i 0.121002 + 0.842021i
\(919\) 10.2652 17.7799i 0.338618 0.586504i −0.645555 0.763714i \(-0.723374\pi\)
0.984173 + 0.177210i \(0.0567072\pi\)
\(920\) −5.35498 + 2.07054i −0.176549 + 0.0682637i
\(921\) 10.6985 3.07973i 0.352529 0.101481i
\(922\) −26.8728 22.5489i −0.885007 0.742609i
\(923\) −11.1707 19.3482i −0.367689 0.636855i
\(924\) 0.370456 + 0.757559i 0.0121871 + 0.0249219i
\(925\) −24.1722 + 0.961840i −0.794776 + 0.0316251i
\(926\) 2.78960 + 15.8206i 0.0916718 + 0.519897i
\(927\) −43.7104 + 9.38542i −1.43564 + 0.308258i
\(928\) −2.67527 + 7.35023i −0.0878199 + 0.241283i
\(929\) −26.2986 31.3414i −0.862829 1.02828i −0.999292 0.0376343i \(-0.988018\pi\)
0.136463 0.990645i \(-0.456427\pi\)
\(930\) 9.00805 9.72732i 0.295386 0.318971i
\(931\) 54.0901 + 33.6468i 1.77273 + 1.10273i
\(932\) −14.5902 −0.477918
\(933\) −13.4375 + 1.42639i −0.439925 + 0.0466978i
\(934\) −8.12220 + 22.3156i −0.265766 + 0.730187i
\(935\) 1.09917 + 0.375487i 0.0359467 + 0.0122798i
\(936\) −2.26321 3.60530i −0.0739755 0.117843i
\(937\) 6.33194 + 17.3969i 0.206855 + 0.568331i 0.999124 0.0418416i \(-0.0133225\pi\)
−0.792269 + 0.610172i \(0.791100\pi\)
\(938\) −16.2178 + 28.0900i −0.529529 + 0.917172i
\(939\) −3.72598 + 54.0873i −0.121593 + 1.76507i
\(940\) 7.79887 + 8.92763i 0.254371 + 0.291187i
\(941\) −5.42107 4.54882i −0.176722 0.148287i 0.550136 0.835075i \(-0.314576\pi\)
−0.726858 + 0.686788i \(0.759020\pi\)
\(942\) 31.1515 + 2.14597i 1.01497 + 0.0699196i
\(943\) 1.24726 2.16032i 0.0406164 0.0703497i
\(944\) 2.44090 0.888415i 0.0794446 0.0289155i
\(945\) −53.0813 10.0135i −1.72674 0.325740i
\(946\) −0.368768 0.0650238i −0.0119897 0.00211411i
\(947\) 25.2380 + 9.18589i 0.820126 + 0.298501i 0.717800 0.696250i \(-0.245149\pi\)
0.102326 + 0.994751i \(0.467372\pi\)
\(948\) 8.99739 0.955067i 0.292222 0.0310191i
\(949\) 10.6888i 0.346972i
\(950\) 20.5310 + 7.31281i 0.666114 + 0.237259i
\(951\) −25.0646 16.8686i −0.812775 0.547002i
\(952\) −17.6654 + 14.8230i −0.572539 + 0.480417i
\(953\) −4.52893 + 12.4431i −0.146706 + 0.403072i −0.991180 0.132525i \(-0.957691\pi\)
0.844473 + 0.535598i \(0.179914\pi\)
\(954\) 10.3327 2.21862i 0.334533 0.0718303i
\(955\) −18.0317 + 0.358609i −0.583491 + 0.0116043i
\(956\) 6.19015 + 17.0073i 0.200204 + 0.550055i
\(957\) 1.27457 0.623281i 0.0412010 0.0201478i
\(958\) 14.3890 + 24.9224i 0.464886 + 0.805206i
\(959\) 26.2038 31.2284i 0.846163 1.00842i
\(960\) −3.84246 + 0.485316i −0.124015 + 0.0156635i
\(961\) −9.64114 16.6989i −0.311004 0.538676i
\(962\) −5.94540 3.43258i −0.191687 0.110671i
\(963\) 21.7866 19.6985i 0.702064 0.634774i
\(964\) −23.2191 + 4.09415i −0.747837 + 0.131864i
\(965\) 12.3726 36.2185i 0.398288 1.16592i
\(966\) −16.7143 + 12.1701i −0.537774 + 0.391566i
\(967\) 12.1671 + 14.5002i 0.391268 + 0.466295i 0.925337 0.379146i \(-0.123782\pi\)
−0.534069 + 0.845441i \(0.679338\pi\)
\(968\) 10.9890i 0.353201i
\(969\) −9.17095 36.3086i −0.294613 1.16640i
\(970\) −3.55741 + 22.8196i −0.114222 + 0.732694i
\(971\) −5.15695 + 4.32719i −0.165494 + 0.138866i −0.721774 0.692129i \(-0.756673\pi\)
0.556279 + 0.830995i \(0.312228\pi\)
\(972\) −2.62754 + 15.3654i −0.0842783 + 0.492846i
\(973\) 67.1249 + 11.8359i 2.15192 + 0.379442i
\(974\) −14.4674 + 2.55099i −0.463565 + 0.0817390i
\(975\) 6.45024 10.4593i 0.206573 0.334965i
\(976\) 6.97013 12.0726i 0.223108 0.386435i
\(977\) 17.9327 10.3534i 0.573718 0.331236i −0.184915 0.982755i \(-0.559201\pi\)
0.758633 + 0.651518i \(0.225868\pi\)
\(978\) 24.1696 6.95757i 0.772859 0.222478i
\(979\) −1.16822 + 1.39223i −0.0373366 + 0.0444960i
\(980\) −11.7849 30.4790i −0.376456 0.973617i
\(981\) 3.95638 28.5796i 0.126317 0.912478i
\(982\) −17.0630 + 6.21043i −0.544502 + 0.198183i
\(983\) 0.184591 0.0325483i 0.00588753 0.00103813i −0.170704 0.985322i \(-0.554604\pi\)
0.176591 + 0.984284i \(0.443493\pi\)
\(984\) 1.16769 1.21168i 0.0372244 0.0386269i
\(985\) 46.4207 + 25.5840i 1.47909 + 0.815175i
\(986\) 24.9393 + 29.7215i 0.794229 + 0.946525i
\(987\) 35.4158 + 23.8350i 1.12730 + 0.758678i
\(988\) 3.81774 + 4.86609i 0.121458 + 0.154811i
\(989\) 9.18087i 0.291935i
\(990\) 0.562946 + 0.420253i 0.0178916 + 0.0133565i
\(991\) 16.4329 45.1491i 0.522009 1.43421i −0.346272 0.938134i \(-0.612552\pi\)
0.868281 0.496073i \(-0.165225\pi\)
\(992\) 0.594418 3.37111i 0.0188728 0.107033i
\(993\) 0.0987775 0.222476i 0.00313461 0.00706007i
\(994\) −68.7866 + 25.0363i −2.18178 + 0.794102i
\(995\) 9.00670 11.1778i 0.285532 0.354361i
\(996\) 8.60787 + 0.592981i 0.272751 + 0.0187893i
\(997\) −3.10488 + 3.70025i −0.0983325 + 0.117188i −0.812967 0.582310i \(-0.802149\pi\)
0.714634 + 0.699499i \(0.246593\pi\)
\(998\) −3.94634 + 4.70307i −0.124919 + 0.148873i
\(999\) 7.84289 + 23.8857i 0.248138 + 0.755709i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (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 570.2.bf.a.89.5 240
3.2 odd 2 inner 570.2.bf.a.89.29 yes 240
5.4 even 2 inner 570.2.bf.a.89.36 yes 240
15.14 odd 2 inner 570.2.bf.a.89.12 yes 240
19.3 odd 18 inner 570.2.bf.a.269.12 yes 240
57.41 even 18 inner 570.2.bf.a.269.36 yes 240
95.79 odd 18 inner 570.2.bf.a.269.29 yes 240
285.269 even 18 inner 570.2.bf.a.269.5 yes 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
570.2.bf.a.89.5 240 1.1 even 1 trivial
570.2.bf.a.89.12 yes 240 15.14 odd 2 inner
570.2.bf.a.89.29 yes 240 3.2 odd 2 inner
570.2.bf.a.89.36 yes 240 5.4 even 2 inner
570.2.bf.a.269.5 yes 240 285.269 even 18 inner
570.2.bf.a.269.12 yes 240 19.3 odd 18 inner
570.2.bf.a.269.29 yes 240 95.79 odd 18 inner
570.2.bf.a.269.36 yes 240 57.41 even 18 inner