Properties

Label 230.3.k.a.3.6
Level $230$
Weight $3$
Character 230.3
Analytic conductor $6.267$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

Related objects

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [230,3,Mod(3,230)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(230, base_ring=CyclotomicField(44))
 
chi = DirichletCharacter(H, H._module([33, 32]))
 
N = Newforms(chi, 3, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("230.3");
 
S:= CuspForms(chi, 3);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 230.k (of order \(44\), degree \(20\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(6.26704608029\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 3.6
Character \(\chi\) \(=\) 230.3
Dual form 230.3.k.a.77.6

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.13214 - 0.847507i) q^{2} +(-1.16785 + 0.435585i) q^{3} +(0.563465 + 1.91899i) q^{4} +(-0.970697 + 4.90487i) q^{5} +(1.69133 + 0.496618i) q^{6} +(-1.47212 + 6.76723i) q^{7} +(0.988434 - 2.65009i) q^{8} +(-5.62761 + 4.87635i) q^{9} +O(q^{10})\) \(q+(-1.13214 - 0.847507i) q^{2} +(-1.16785 + 0.435585i) q^{3} +(0.563465 + 1.91899i) q^{4} +(-0.970697 + 4.90487i) q^{5} +(1.69133 + 0.496618i) q^{6} +(-1.47212 + 6.76723i) q^{7} +(0.988434 - 2.65009i) q^{8} +(-5.62761 + 4.87635i) q^{9} +(5.25587 - 4.73031i) q^{10} +(2.87974 - 20.0290i) q^{11} +(-1.49392 - 1.99565i) q^{12} +(-4.81784 - 22.1472i) q^{13} +(7.40192 - 6.41380i) q^{14} +(-1.00286 - 6.15097i) q^{15} +(-3.36501 + 2.16256i) q^{16} +(-8.58281 + 4.68657i) q^{17} +(10.5040 - 0.751258i) q^{18} +(4.79184 + 16.3195i) q^{19} +(-9.95933 + 0.900969i) q^{20} +(-1.22849 - 8.54434i) q^{21} +(-20.2350 + 20.2350i) q^{22} +(-22.4924 + 4.80525i) q^{23} +3.52546i q^{24} +(-23.1155 - 9.52228i) q^{25} +(-13.3155 + 29.1568i) q^{26} +(9.82431 - 17.9919i) q^{27} +(-13.8157 + 0.988119i) q^{28} +(11.5682 - 39.3978i) q^{29} +(-4.07761 + 7.81366i) q^{30} +(-2.17305 - 4.75832i) q^{31} +(5.64244 + 0.403555i) q^{32} +(5.36125 + 24.6452i) q^{33} +(13.6888 + 1.96815i) q^{34} +(-31.7634 - 13.7895i) q^{35} +(-12.5286 - 8.05165i) q^{36} +(-31.9169 - 2.28274i) q^{37} +(8.40587 - 22.5370i) q^{38} +(15.2735 + 23.7661i) q^{39} +(12.0389 + 7.42058i) q^{40} +(12.0005 - 13.8493i) q^{41} +(-5.85057 + 10.7145i) q^{42} +(-70.7046 + 26.3715i) q^{43} +(40.0581 - 5.75948i) q^{44} +(-18.4552 - 32.3362i) q^{45} +(29.5370 + 13.6223i) q^{46} +(-43.6965 + 43.6965i) q^{47} +(2.98785 - 3.99130i) q^{48} +(0.943657 + 0.430954i) q^{49} +(18.0997 + 30.3711i) q^{50} +(7.98202 - 9.21175i) q^{51} +(39.7856 - 21.7246i) q^{52} +(46.0696 + 10.0218i) q^{53} +(-26.3707 + 12.0431i) q^{54} +(95.4444 + 33.5669i) q^{55} +(16.4787 + 10.5902i) q^{56} +(-12.7047 - 16.9714i) q^{57} +(-46.4867 + 34.7995i) q^{58} +(30.1663 - 46.9397i) q^{59} +(11.2385 - 5.39033i) q^{60} +(-1.15464 - 2.52830i) q^{61} +(-1.57252 + 7.22874i) q^{62} +(-24.7149 - 45.2619i) q^{63} +(-6.04600 - 5.23889i) q^{64} +(113.306 - 2.13260i) q^{65} +(14.8174 - 32.4455i) q^{66} +(-57.8369 - 43.2961i) q^{67} +(-13.8296 - 13.8296i) q^{68} +(24.1747 - 15.4092i) q^{69} +(24.2738 + 42.5313i) q^{70} +(-0.361667 - 2.51545i) q^{71} +(7.36027 + 19.7336i) q^{72} +(23.2879 + 12.7161i) q^{73} +(34.1997 + 29.6342i) q^{74} +(31.1432 + 1.05182i) q^{75} +(-28.6168 + 18.3909i) q^{76} +(131.302 + 48.9730i) q^{77} +(2.85019 - 39.8508i) q^{78} +(-64.5201 + 100.395i) q^{79} +(-7.34068 - 18.6041i) q^{80} +(5.90128 - 41.0443i) q^{81} +(-25.3235 + 5.50879i) q^{82} +(-0.133228 + 1.86278i) q^{83} +(15.7043 - 7.17189i) q^{84} +(-14.6557 - 46.6468i) q^{85} +(102.397 + 30.0665i) q^{86} +(3.65114 + 51.0496i) q^{87} +(-50.2324 - 27.4290i) q^{88} +(-38.7633 - 17.7026i) q^{89} +(-6.51134 + 52.2498i) q^{90} +156.968 q^{91} +(-21.8949 - 40.4551i) q^{92} +(4.61045 + 4.61045i) q^{93} +(86.5035 - 12.4373i) q^{94} +(-84.6964 + 7.66205i) q^{95} +(-6.76530 + 1.98647i) q^{96} +(-2.35554 - 32.9347i) q^{97} +(-0.703112 - 1.28765i) q^{98} +(81.4625 + 126.758i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 24 q^{2} - 4 q^{5} - 74 q^{7} + 48 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 24 q^{2} - 4 q^{5} - 74 q^{7} + 48 q^{8} - 16 q^{10} + 8 q^{11} + 44 q^{12} + 24 q^{13} + 24 q^{15} + 96 q^{16} + 12 q^{17} + 88 q^{18} - 24 q^{20} + 24 q^{21} + 8 q^{22} - 44 q^{23} - 128 q^{25} + 48 q^{26} - 60 q^{27} - 116 q^{28} + 120 q^{30} - 12 q^{31} + 96 q^{32} - 334 q^{33} - 224 q^{35} - 176 q^{36} + 188 q^{37} + 76 q^{38} - 16 q^{40} - 116 q^{41} + 24 q^{42} + 120 q^{43} + 204 q^{45} + 396 q^{46} - 144 q^{47} - 88 q^{48} + 170 q^{50} - 176 q^{51} + 48 q^{52} + 192 q^{53} - 312 q^{55} + 296 q^{56} + 88 q^{57} - 28 q^{58} - 72 q^{60} - 552 q^{61} - 12 q^{62} - 122 q^{63} - 392 q^{65} - 8 q^{66} - 72 q^{67} - 24 q^{68} + 100 q^{70} + 424 q^{71} - 176 q^{72} + 452 q^{73} + 604 q^{75} - 112 q^{76} + 356 q^{77} + 32 q^{78} + 16 q^{80} - 704 q^{81} + 148 q^{82} - 360 q^{83} + 428 q^{85} - 376 q^{86} - 462 q^{87} - 104 q^{88} - 510 q^{90} + 432 q^{91} - 192 q^{93} - 166 q^{95} - 1042 q^{97} - 88 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{8}{11}\right)\)

Coefficient data

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



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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.13214 0.847507i −0.566068 0.423753i
\(3\) −1.16785 + 0.435585i −0.389283 + 0.145195i −0.536482 0.843912i \(-0.680247\pi\)
0.147199 + 0.989107i \(0.452974\pi\)
\(4\) 0.563465 + 1.91899i 0.140866 + 0.479746i
\(5\) −0.970697 + 4.90487i −0.194139 + 0.980974i
\(6\) 1.69133 + 0.496618i 0.281888 + 0.0827696i
\(7\) −1.47212 + 6.76723i −0.210303 + 0.966748i 0.744063 + 0.668109i \(0.232896\pi\)
−0.954366 + 0.298638i \(0.903468\pi\)
\(8\) 0.988434 2.65009i 0.123554 0.331262i
\(9\) −5.62761 + 4.87635i −0.625290 + 0.541817i
\(10\) 5.25587 4.73031i 0.525587 0.473031i
\(11\) 2.87974 20.0290i 0.261795 1.82082i −0.257560 0.966262i \(-0.582919\pi\)
0.519355 0.854559i \(-0.326172\pi\)
\(12\) −1.49392 1.99565i −0.124494 0.166304i
\(13\) −4.81784 22.1472i −0.370603 1.70363i −0.664074 0.747666i \(-0.731174\pi\)
0.293472 0.955968i \(-0.405189\pi\)
\(14\) 7.40192 6.41380i 0.528708 0.458128i
\(15\) −1.00286 6.15097i −0.0668574 0.410064i
\(16\) −3.36501 + 2.16256i −0.210313 + 0.135160i
\(17\) −8.58281 + 4.68657i −0.504871 + 0.275681i −0.711434 0.702753i \(-0.751954\pi\)
0.206563 + 0.978433i \(0.433772\pi\)
\(18\) 10.5040 0.751258i 0.583553 0.0417366i
\(19\) 4.79184 + 16.3195i 0.252202 + 0.858921i 0.984116 + 0.177524i \(0.0568088\pi\)
−0.731915 + 0.681396i \(0.761373\pi\)
\(20\) −9.95933 + 0.900969i −0.497967 + 0.0450485i
\(21\) −1.22849 8.54434i −0.0584996 0.406873i
\(22\) −20.2350 + 20.2350i −0.919772 + 0.919772i
\(23\) −22.4924 + 4.80525i −0.977932 + 0.208924i
\(24\) 3.52546i 0.146894i
\(25\) −23.1155 9.52228i −0.924620 0.380891i
\(26\) −13.3155 + 29.1568i −0.512134 + 1.12142i
\(27\) 9.82431 17.9919i 0.363863 0.666366i
\(28\) −13.8157 + 0.988119i −0.493418 + 0.0352900i
\(29\) 11.5682 39.3978i 0.398905 1.35855i −0.478202 0.878250i \(-0.658711\pi\)
0.877107 0.480295i \(-0.159470\pi\)
\(30\) −4.07761 + 7.81366i −0.135920 + 0.260455i
\(31\) −2.17305 4.75832i −0.0700984 0.153494i 0.871339 0.490681i \(-0.163252\pi\)
−0.941438 + 0.337187i \(0.890525\pi\)
\(32\) 5.64244 + 0.403555i 0.176326 + 0.0126111i
\(33\) 5.36125 + 24.6452i 0.162462 + 0.746826i
\(34\) 13.6888 + 1.96815i 0.402612 + 0.0578869i
\(35\) −31.7634 13.7895i −0.907526 0.393986i
\(36\) −12.5286 8.05165i −0.348017 0.223657i
\(37\) −31.9169 2.28274i −0.862620 0.0616958i −0.366985 0.930227i \(-0.619610\pi\)
−0.495635 + 0.868531i \(0.665065\pi\)
\(38\) 8.40587 22.5370i 0.221207 0.593079i
\(39\) 15.2735 + 23.7661i 0.391629 + 0.609386i
\(40\) 12.0389 + 7.42058i 0.300972 + 0.185514i
\(41\) 12.0005 13.8493i 0.292694 0.337787i −0.590289 0.807192i \(-0.700986\pi\)
0.882983 + 0.469405i \(0.155532\pi\)
\(42\) −5.85057 + 10.7145i −0.139299 + 0.255107i
\(43\) −70.7046 + 26.3715i −1.64429 + 0.613290i −0.989760 0.142743i \(-0.954408\pi\)
−0.654534 + 0.756033i \(0.727135\pi\)
\(44\) 40.0581 5.75948i 0.910410 0.130897i
\(45\) −18.4552 32.3362i −0.410115 0.718581i
\(46\) 29.5370 + 13.6223i 0.642108 + 0.296137i
\(47\) −43.6965 + 43.6965i −0.929713 + 0.929713i −0.997687 0.0679744i \(-0.978346\pi\)
0.0679744 + 0.997687i \(0.478346\pi\)
\(48\) 2.98785 3.99130i 0.0622468 0.0831520i
\(49\) 0.943657 + 0.430954i 0.0192583 + 0.00879497i
\(50\) 18.0997 + 30.3711i 0.361994 + 0.607421i
\(51\) 7.98202 9.21175i 0.156510 0.180622i
\(52\) 39.7856 21.7246i 0.765107 0.417780i
\(53\) 46.0696 + 10.0218i 0.869237 + 0.189091i 0.625000 0.780625i \(-0.285099\pi\)
0.244237 + 0.969716i \(0.421463\pi\)
\(54\) −26.3707 + 12.0431i −0.488346 + 0.223020i
\(55\) 95.4444 + 33.5669i 1.73535 + 0.610307i
\(56\) 16.4787 + 10.5902i 0.294263 + 0.189111i
\(57\) −12.7047 16.9714i −0.222889 0.297745i
\(58\) −46.4867 + 34.7995i −0.801495 + 0.599992i
\(59\) 30.1663 46.9397i 0.511294 0.795589i −0.485613 0.874174i \(-0.661404\pi\)
0.996907 + 0.0785847i \(0.0250401\pi\)
\(60\) 11.2385 5.39033i 0.187309 0.0898388i
\(61\) −1.15464 2.52830i −0.0189285 0.0414476i 0.899932 0.436031i \(-0.143616\pi\)
−0.918860 + 0.394583i \(0.870889\pi\)
\(62\) −1.57252 + 7.22874i −0.0253632 + 0.116593i
\(63\) −24.7149 45.2619i −0.392300 0.718443i
\(64\) −6.04600 5.23889i −0.0944687 0.0818576i
\(65\) 113.306 2.13260i 1.74317 0.0328093i
\(66\) 14.8174 32.4455i 0.224505 0.491598i
\(67\) −57.8369 43.2961i −0.863237 0.646211i 0.0730960 0.997325i \(-0.476712\pi\)
−0.936333 + 0.351114i \(0.885803\pi\)
\(68\) −13.8296 13.8296i −0.203376 0.203376i
\(69\) 24.1747 15.4092i 0.350358 0.223321i
\(70\) 24.2738 + 42.5313i 0.346769 + 0.607590i
\(71\) −0.361667 2.51545i −0.00509390 0.0354289i 0.987116 0.160006i \(-0.0511515\pi\)
−0.992210 + 0.124578i \(0.960242\pi\)
\(72\) 7.36027 + 19.7336i 0.102226 + 0.274078i
\(73\) 23.2879 + 12.7161i 0.319012 + 0.174194i 0.630774 0.775966i \(-0.282737\pi\)
−0.311762 + 0.950160i \(0.600919\pi\)
\(74\) 34.1997 + 29.6342i 0.462158 + 0.400462i
\(75\) 31.1432 + 1.05182i 0.415242 + 0.0140243i
\(76\) −28.6168 + 18.3909i −0.376537 + 0.241986i
\(77\) 131.302 + 48.9730i 1.70522 + 0.636013i
\(78\) 2.85019 39.8508i 0.0365409 0.510908i
\(79\) −64.5201 + 100.395i −0.816710 + 1.27083i 0.142969 + 0.989727i \(0.454335\pi\)
−0.959679 + 0.281098i \(0.909301\pi\)
\(80\) −7.34068 18.6041i −0.0917585 0.232552i
\(81\) 5.90128 41.0443i 0.0728553 0.506720i
\(82\) −25.3235 + 5.50879i −0.308823 + 0.0671804i
\(83\) −0.133228 + 1.86278i −0.00160516 + 0.0224431i −0.998192 0.0601131i \(-0.980854\pi\)
0.996586 + 0.0825562i \(0.0263084\pi\)
\(84\) 15.7043 7.17189i 0.186955 0.0853797i
\(85\) −14.6557 46.6468i −0.172420 0.548786i
\(86\) 102.397 + 30.0665i 1.19067 + 0.349611i
\(87\) 3.65114 + 51.0496i 0.0419671 + 0.586777i
\(88\) −50.2324 27.4290i −0.570822 0.311693i
\(89\) −38.7633 17.7026i −0.435543 0.198906i 0.185563 0.982632i \(-0.440589\pi\)
−0.621106 + 0.783726i \(0.713316\pi\)
\(90\) −6.51134 + 52.2498i −0.0723482 + 0.580553i
\(91\) 156.968 1.72492
\(92\) −21.8949 40.4551i −0.237988 0.439729i
\(93\) 4.61045 + 4.61045i 0.0495747 + 0.0495747i
\(94\) 86.5035 12.4373i 0.920250 0.132312i
\(95\) −84.6964 + 7.66205i −0.891541 + 0.0806531i
\(96\) −6.76530 + 1.98647i −0.0704719 + 0.0206924i
\(97\) −2.35554 32.9347i −0.0242839 0.339533i −0.995041 0.0994684i \(-0.968286\pi\)
0.970757 0.240065i \(-0.0771687\pi\)
\(98\) −0.703112 1.28765i −0.00717461 0.0131393i
\(99\) 81.4625 + 126.758i 0.822854 + 1.28039i
\(100\) 5.24836 49.7238i 0.0524836 0.497238i
\(101\) −40.8477 47.1408i −0.404433 0.466741i 0.516599 0.856227i \(-0.327198\pi\)
−0.921032 + 0.389487i \(0.872652\pi\)
\(102\) −16.8438 + 3.66413i −0.165135 + 0.0359229i
\(103\) −81.9328 + 61.3341i −0.795464 + 0.595477i −0.917814 0.397010i \(-0.870048\pi\)
0.122350 + 0.992487i \(0.460957\pi\)
\(104\) −63.4544 9.12337i −0.610138 0.0877247i
\(105\) 43.1014 + 2.26838i 0.410489 + 0.0216036i
\(106\) −43.6635 50.3903i −0.411920 0.475381i
\(107\) 29.7589 + 11.0995i 0.278120 + 0.103733i 0.484654 0.874706i \(-0.338946\pi\)
−0.206534 + 0.978439i \(0.566218\pi\)
\(108\) 40.0618 + 8.71492i 0.370943 + 0.0806937i
\(109\) −60.8191 + 207.131i −0.557973 + 1.90028i −0.145352 + 0.989380i \(0.546432\pi\)
−0.412621 + 0.910903i \(0.635387\pi\)
\(110\) −79.6080 118.892i −0.723709 1.08084i
\(111\) 38.2685 11.2366i 0.344761 0.101231i
\(112\) −9.68086 25.9554i −0.0864363 0.231745i
\(113\) 52.0947 69.5904i 0.461015 0.615844i −0.508444 0.861095i \(-0.669779\pi\)
0.969460 + 0.245250i \(0.0788702\pi\)
\(114\) 29.9813i 0.262994i
\(115\) −1.73577 114.987i −0.0150936 0.999886i
\(116\) 82.1221 0.707950
\(117\) 135.111 + 101.143i 1.15479 + 0.864467i
\(118\) −73.9342 + 27.5760i −0.626561 + 0.233695i
\(119\) −19.0802 64.9811i −0.160338 0.546060i
\(120\) −17.2919 3.42215i −0.144099 0.0285179i
\(121\) −276.770 81.2671i −2.28736 0.671629i
\(122\) −0.835546 + 3.84094i −0.00684874 + 0.0314831i
\(123\) −7.98218 + 21.4011i −0.0648958 + 0.173992i
\(124\) 7.90671 6.85120i 0.0637638 0.0552516i
\(125\) 69.1437 104.135i 0.553150 0.833082i
\(126\) −10.3792 + 72.1887i −0.0823744 + 0.572926i
\(127\) −5.83473 7.79429i −0.0459428 0.0613723i 0.776982 0.629523i \(-0.216750\pi\)
−0.822924 + 0.568151i \(0.807659\pi\)
\(128\) 2.40490 + 11.0552i 0.0187883 + 0.0863684i
\(129\) 71.0853 61.5957i 0.551049 0.477486i
\(130\) −130.085 93.6132i −1.00066 0.720102i
\(131\) −152.032 + 97.7052i −1.16055 + 0.745841i −0.971713 0.236167i \(-0.924109\pi\)
−0.188839 + 0.982008i \(0.560472\pi\)
\(132\) −44.2730 + 24.1749i −0.335402 + 0.183143i
\(133\) −117.492 + 8.40319i −0.883398 + 0.0631819i
\(134\) 28.7854 + 98.0342i 0.214817 + 0.731599i
\(135\) 78.7114 + 65.6517i 0.583048 + 0.486309i
\(136\) 3.93631 + 27.3776i 0.0289434 + 0.201306i
\(137\) 26.2426 26.2426i 0.191552 0.191552i −0.604814 0.796366i \(-0.706753\pi\)
0.796366 + 0.604814i \(0.206753\pi\)
\(138\) −40.4284 3.04291i −0.292959 0.0220501i
\(139\) 4.41200i 0.0317410i 0.999874 + 0.0158705i \(0.00505195\pi\)
−0.999874 + 0.0158705i \(0.994948\pi\)
\(140\) 8.56428 68.7235i 0.0611734 0.490882i
\(141\) 31.9974 70.0644i 0.226932 0.496911i
\(142\) −1.72240 + 3.15435i −0.0121296 + 0.0222137i
\(143\) −457.462 + 32.7183i −3.19903 + 0.228799i
\(144\) 8.39157 28.5791i 0.0582748 0.198466i
\(145\) 182.012 + 94.9840i 1.25525 + 0.655062i
\(146\) −15.5880 34.1330i −0.106767 0.233788i
\(147\) −1.28977 0.0922458i −0.00877391 0.000627523i
\(148\) −13.6035 62.5344i −0.0919157 0.422530i
\(149\) 152.631 + 21.9450i 1.02437 + 0.147282i 0.633965 0.773362i \(-0.281426\pi\)
0.390404 + 0.920644i \(0.372335\pi\)
\(150\) −34.3669 27.5848i −0.229113 0.183899i
\(151\) 207.214 + 133.168i 1.37228 + 0.881908i 0.998951 0.0457929i \(-0.0145814\pi\)
0.373324 + 0.927701i \(0.378218\pi\)
\(152\) 47.9846 + 3.43193i 0.315688 + 0.0225785i
\(153\) 25.4473 68.2270i 0.166323 0.445928i
\(154\) −107.147 166.723i −0.695757 1.08262i
\(155\) 25.4483 6.03965i 0.164183 0.0389655i
\(156\) −37.0006 + 42.7010i −0.237184 + 0.273724i
\(157\) −127.758 + 233.971i −0.813743 + 1.49026i 0.0569203 + 0.998379i \(0.481872\pi\)
−0.870663 + 0.491880i \(0.836310\pi\)
\(158\) 158.131 58.9799i 1.00083 0.373290i
\(159\) −58.1676 + 8.36325i −0.365834 + 0.0525990i
\(160\) −7.45649 + 27.2837i −0.0466030 + 0.170523i
\(161\) 0.593376 159.285i 0.00368556 0.989351i
\(162\) −41.4664 + 41.4664i −0.255965 + 0.255965i
\(163\) −29.8145 + 39.8275i −0.182911 + 0.244341i −0.882620 0.470088i \(-0.844222\pi\)
0.699709 + 0.714428i \(0.253313\pi\)
\(164\) 33.3384 + 15.2251i 0.203283 + 0.0928361i
\(165\) −126.086 + 2.37314i −0.764157 + 0.0143827i
\(166\) 1.72955 1.99600i 0.0104190 0.0120241i
\(167\) −20.7517 + 11.3313i −0.124262 + 0.0678521i −0.540178 0.841551i \(-0.681643\pi\)
0.415916 + 0.909403i \(0.363461\pi\)
\(168\) −23.8576 5.18990i −0.142009 0.0308923i
\(169\) −313.561 + 143.199i −1.85539 + 0.847329i
\(170\) −22.9412 + 65.2313i −0.134948 + 0.383714i
\(171\) −106.546 68.4731i −0.623077 0.400427i
\(172\) −90.4460 120.822i −0.525849 0.702452i
\(173\) 160.697 120.296i 0.928885 0.695354i −0.0236707 0.999720i \(-0.507535\pi\)
0.952555 + 0.304366i \(0.0984444\pi\)
\(174\) 39.1313 60.8895i 0.224893 0.349940i
\(175\) 98.4683 142.410i 0.562676 0.813771i
\(176\) 33.6237 + 73.6256i 0.191044 + 0.418327i
\(177\) −14.7835 + 67.9585i −0.0835225 + 0.383947i
\(178\) 28.8823 + 52.8940i 0.162260 + 0.297157i
\(179\) −92.2298 79.9176i −0.515250 0.446467i 0.358012 0.933717i \(-0.383455\pi\)
−0.873263 + 0.487250i \(0.838000\pi\)
\(180\) 51.6538 53.6355i 0.286965 0.297975i
\(181\) 1.83257 4.01276i 0.0101247 0.0221700i −0.904502 0.426469i \(-0.859757\pi\)
0.914627 + 0.404299i \(0.132485\pi\)
\(182\) −177.709 133.031i −0.976424 0.730942i
\(183\) 2.44973 + 2.44973i 0.0133865 + 0.0133865i
\(184\) −9.49793 + 64.3567i −0.0516192 + 0.349765i
\(185\) 42.1782 154.333i 0.227990 0.834230i
\(186\) −1.31227 9.12704i −0.00705522 0.0490701i
\(187\) 69.1512 + 185.401i 0.369792 + 0.991452i
\(188\) −108.474 59.2315i −0.576992 0.315061i
\(189\) 107.293 + 92.9697i 0.567686 + 0.491903i
\(190\) 102.382 + 63.1063i 0.538850 + 0.332138i
\(191\) 35.6219 22.8928i 0.186502 0.119858i −0.444058 0.895998i \(-0.646462\pi\)
0.630560 + 0.776140i \(0.282825\pi\)
\(192\) 9.34279 + 3.48468i 0.0486604 + 0.0181494i
\(193\) 16.6849 233.285i 0.0864502 1.20873i −0.750281 0.661119i \(-0.770082\pi\)
0.836731 0.547613i \(-0.184464\pi\)
\(194\) −25.2456 + 39.2829i −0.130132 + 0.202489i
\(195\) −131.395 + 51.8450i −0.673822 + 0.265872i
\(196\) −0.295276 + 2.05369i −0.00150651 + 0.0104780i
\(197\) −190.582 + 41.4586i −0.967423 + 0.210450i −0.668405 0.743798i \(-0.733023\pi\)
−0.299018 + 0.954248i \(0.596659\pi\)
\(198\) 15.2017 212.548i 0.0767763 1.07347i
\(199\) −274.927 + 125.555i −1.38154 + 0.630930i −0.961052 0.276367i \(-0.910870\pi\)
−0.420491 + 0.907297i \(0.638142\pi\)
\(200\) −48.0831 + 51.8461i −0.240415 + 0.259230i
\(201\) 86.4038 + 25.3705i 0.429870 + 0.126221i
\(202\) 6.29306 + 87.9885i 0.0311538 + 0.435587i
\(203\) 249.584 + 136.283i 1.22948 + 0.671347i
\(204\) 22.1748 + 10.1269i 0.108700 + 0.0496416i
\(205\) 56.2800 + 72.3041i 0.274537 + 0.352703i
\(206\) 144.740 0.702622
\(207\) 103.147 136.723i 0.498293 0.660498i
\(208\) 64.1069 + 64.1069i 0.308206 + 0.308206i
\(209\) 340.663 48.9799i 1.62997 0.234354i
\(210\) −46.8742 39.0968i −0.223210 0.186175i
\(211\) −199.702 + 58.6379i −0.946457 + 0.277905i −0.718311 0.695722i \(-0.755085\pi\)
−0.228146 + 0.973627i \(0.573266\pi\)
\(212\) 6.72686 + 94.0538i 0.0317305 + 0.443650i
\(213\) 1.51806 + 2.78013i 0.00712706 + 0.0130522i
\(214\) −24.2842 37.7870i −0.113478 0.176575i
\(215\) −60.7158 372.396i −0.282399 1.73207i
\(216\) −37.9695 43.8191i −0.175785 0.202866i
\(217\) 35.3996 7.70072i 0.163132 0.0354872i
\(218\) 244.400 182.956i 1.12110 0.839246i
\(219\) −32.7357 4.70668i −0.149478 0.0214917i
\(220\) −10.6347 + 202.070i −0.0483397 + 0.918501i
\(221\) 145.145 + 167.506i 0.656766 + 0.757948i
\(222\) −52.8483 19.7114i −0.238055 0.0887900i
\(223\) 369.679 + 80.4187i 1.65775 + 0.360622i 0.941446 0.337165i \(-0.109468\pi\)
0.716306 + 0.697787i \(0.245832\pi\)
\(224\) −11.0373 + 37.5896i −0.0492737 + 0.167811i
\(225\) 176.519 59.1316i 0.784529 0.262807i
\(226\) −117.957 + 34.6352i −0.521932 + 0.153253i
\(227\) 48.9258 + 131.175i 0.215532 + 0.577864i 0.999053 0.0435012i \(-0.0138512\pi\)
−0.783521 + 0.621365i \(0.786579\pi\)
\(228\) 25.4093 33.9429i 0.111444 0.148872i
\(229\) 238.088i 1.03968i −0.854262 0.519842i \(-0.825991\pi\)
0.854262 0.519842i \(-0.174009\pi\)
\(230\) −95.4870 + 131.652i −0.415161 + 0.572400i
\(231\) −174.673 −0.756158
\(232\) −92.9735 69.5991i −0.400748 0.299996i
\(233\) −199.674 + 74.4745i −0.856969 + 0.319633i −0.739264 0.673415i \(-0.764827\pi\)
−0.117705 + 0.993049i \(0.537554\pi\)
\(234\) −67.2447 229.014i −0.287370 0.978694i
\(235\) −171.910 256.742i −0.731530 1.09252i
\(236\) 107.074 + 31.4399i 0.453705 + 0.133220i
\(237\) 31.6190 145.350i 0.133414 0.613293i
\(238\) −33.4705 + 89.7380i −0.140633 + 0.377050i
\(239\) −58.0439 + 50.2954i −0.242862 + 0.210441i −0.767783 0.640710i \(-0.778640\pi\)
0.524921 + 0.851151i \(0.324095\pi\)
\(240\) 16.6765 + 18.5293i 0.0694854 + 0.0772056i
\(241\) 56.6410 393.947i 0.235025 1.63463i −0.440825 0.897593i \(-0.645314\pi\)
0.675849 0.737040i \(-0.263777\pi\)
\(242\) 244.467 + 326.570i 1.01020 + 1.34946i
\(243\) 50.2036 + 230.782i 0.206599 + 0.949721i
\(244\) 4.20118 3.64034i 0.0172179 0.0149194i
\(245\) −3.02978 + 4.21019i −0.0123664 + 0.0171844i
\(246\) 27.1745 17.4640i 0.110465 0.0709917i
\(247\) 338.346 184.751i 1.36982 0.747978i
\(248\) −14.7579 + 1.05551i −0.0595077 + 0.00425607i
\(249\) −0.655807 2.23347i −0.00263376 0.00896977i
\(250\) −166.535 + 59.2955i −0.666142 + 0.237182i
\(251\) 34.4453 + 239.572i 0.137232 + 0.954470i 0.935791 + 0.352554i \(0.114687\pi\)
−0.798559 + 0.601916i \(0.794404\pi\)
\(252\) 72.9310 72.9310i 0.289409 0.289409i
\(253\) 31.4721 + 464.339i 0.124395 + 1.83533i
\(254\) 13.7692i 0.0542093i
\(255\) 37.4343 + 48.0926i 0.146801 + 0.188598i
\(256\) 6.64664 14.5541i 0.0259634 0.0568520i
\(257\) 130.121 238.299i 0.506308 0.927234i −0.492084 0.870548i \(-0.663765\pi\)
0.998392 0.0566861i \(-0.0180534\pi\)
\(258\) −132.681 + 9.48953i −0.514268 + 0.0367811i
\(259\) 62.4335 212.629i 0.241056 0.820961i
\(260\) 67.9364 + 216.231i 0.261294 + 0.831658i
\(261\) 127.016 + 278.126i 0.486651 + 1.06562i
\(262\) 254.927 + 18.2327i 0.973004 + 0.0695906i
\(263\) 25.4881 + 117.167i 0.0969130 + 0.445502i 0.999875 + 0.0157825i \(0.00502392\pi\)
−0.902962 + 0.429720i \(0.858612\pi\)
\(264\) 70.6115 + 10.1524i 0.267468 + 0.0384560i
\(265\) −93.8753 + 216.237i −0.354247 + 0.815989i
\(266\) 140.139 + 90.0617i 0.526837 + 0.338578i
\(267\) 52.9807 + 3.78926i 0.198430 + 0.0141920i
\(268\) 50.4956 135.384i 0.188416 0.505164i
\(269\) −33.0325 51.3995i −0.122797 0.191076i 0.774412 0.632681i \(-0.218046\pi\)
−0.897210 + 0.441605i \(0.854409\pi\)
\(270\) −33.4719 141.035i −0.123970 0.522352i
\(271\) 152.200 175.648i 0.561622 0.648147i −0.401929 0.915671i \(-0.631660\pi\)
0.963551 + 0.267524i \(0.0862055\pi\)
\(272\) 18.7463 34.3312i 0.0689201 0.126218i
\(273\) −183.315 + 68.3729i −0.671483 + 0.250450i
\(274\) −51.9510 + 7.46943i −0.189602 + 0.0272607i
\(275\) −257.289 + 435.559i −0.935595 + 1.58385i
\(276\) 43.1916 + 37.7083i 0.156491 + 0.136624i
\(277\) 83.5198 83.5198i 0.301516 0.301516i −0.540091 0.841607i \(-0.681610\pi\)
0.841607 + 0.540091i \(0.181610\pi\)
\(278\) 3.73920 4.99499i 0.0134504 0.0179676i
\(279\) 35.4323 + 16.1814i 0.126998 + 0.0579978i
\(280\) −67.9395 + 70.5460i −0.242641 + 0.251950i
\(281\) −237.793 + 274.428i −0.846238 + 0.976610i −0.999934 0.0115077i \(-0.996337\pi\)
0.153696 + 0.988118i \(0.450882\pi\)
\(282\) −95.6054 + 52.2045i −0.339026 + 0.185122i
\(283\) −38.2504 8.32087i −0.135160 0.0294024i 0.144476 0.989508i \(-0.453850\pi\)
−0.279637 + 0.960106i \(0.590214\pi\)
\(284\) 4.62333 2.11140i 0.0162793 0.00743452i
\(285\) 95.5751 45.8406i 0.335351 0.160844i
\(286\) 545.638 + 350.660i 1.90783 + 1.22609i
\(287\) 76.0551 + 101.598i 0.265000 + 0.353999i
\(288\) −33.7213 + 25.2435i −0.117088 + 0.0876510i
\(289\) −104.544 + 162.674i −0.361746 + 0.562887i
\(290\) −125.563 261.791i −0.432975 0.902728i
\(291\) 17.0968 + 37.4367i 0.0587519 + 0.128649i
\(292\) −11.2802 + 51.8542i −0.0386308 + 0.177583i
\(293\) 15.3295 + 28.0739i 0.0523191 + 0.0958154i 0.902530 0.430627i \(-0.141707\pi\)
−0.850211 + 0.526442i \(0.823526\pi\)
\(294\) 1.38201 + 1.19752i 0.00470072 + 0.00407319i
\(295\) 200.951 + 193.526i 0.681190 + 0.656021i
\(296\) −37.5973 + 82.3265i −0.127018 + 0.278130i
\(297\) −332.069 248.583i −1.11808 0.836981i
\(298\) −154.201 154.201i −0.517451 0.517451i
\(299\) 214.788 + 474.995i 0.718354 + 1.58861i
\(300\) 15.5297 + 60.3560i 0.0517655 + 0.201187i
\(301\) −74.3760 517.297i −0.247096 1.71859i
\(302\) −121.733 326.379i −0.403090 1.08073i
\(303\) 68.2378 + 37.2607i 0.225207 + 0.122972i
\(304\) −51.4165 44.5527i −0.169133 0.146555i
\(305\) 13.5218 3.20913i 0.0443337 0.0105217i
\(306\) −86.6327 + 55.6754i −0.283113 + 0.181946i
\(307\) −21.6108 8.06041i −0.0703934 0.0262554i 0.314021 0.949416i \(-0.398324\pi\)
−0.384414 + 0.923161i \(0.625597\pi\)
\(308\) −19.9946 + 279.561i −0.0649175 + 0.907665i
\(309\) 68.9689 107.318i 0.223200 0.347306i
\(310\) −33.9296 14.7299i −0.109450 0.0475158i
\(311\) 27.7024 192.674i 0.0890752 0.619532i −0.895564 0.444932i \(-0.853228\pi\)
0.984640 0.174600i \(-0.0558631\pi\)
\(312\) 78.0791 16.9851i 0.250254 0.0544393i
\(313\) 42.1871 589.853i 0.134783 1.88452i −0.259810 0.965660i \(-0.583660\pi\)
0.394593 0.918856i \(-0.370885\pi\)
\(314\) 342.931 156.611i 1.09214 0.498762i
\(315\) 245.995 77.2877i 0.780935 0.245358i
\(316\) −229.012 67.2439i −0.724721 0.212797i
\(317\) −26.3117 367.886i −0.0830024 1.16052i −0.852800 0.522237i \(-0.825098\pi\)
0.769798 0.638288i \(-0.220357\pi\)
\(318\) 72.9416 + 39.8291i 0.229376 + 0.125249i
\(319\) −755.786 345.156i −2.36924 1.08199i
\(320\) 31.5649 24.5695i 0.0986403 0.0767795i
\(321\) −39.5886 −0.123329
\(322\) −135.667 + 179.830i −0.421327 + 0.558478i
\(323\) −117.610 117.610i −0.364117 0.364117i
\(324\) 82.0886 11.8026i 0.253360 0.0364276i
\(325\) −99.5257 + 557.821i −0.306233 + 1.71637i
\(326\) 67.5082 19.8222i 0.207080 0.0608043i
\(327\) −19.1956 268.389i −0.0587021 0.820763i
\(328\) −24.8402 45.4914i −0.0757323 0.138693i
\(329\) −231.378 360.031i −0.703276 1.09432i
\(330\) 144.758 + 104.172i 0.438660 + 0.315672i
\(331\) 32.3184 + 37.2974i 0.0976387 + 0.112681i 0.802466 0.596698i \(-0.203521\pi\)
−0.704827 + 0.709379i \(0.748975\pi\)
\(332\) −3.64971 + 0.793946i −0.0109931 + 0.00239140i
\(333\) 190.747 142.792i 0.572815 0.428804i
\(334\) 33.0971 + 4.75865i 0.0990932 + 0.0142475i
\(335\) 268.504 241.655i 0.801504 0.721358i
\(336\) 22.6116 + 26.0951i 0.0672963 + 0.0776641i
\(337\) −98.7925 36.8477i −0.293153 0.109340i 0.198585 0.980084i \(-0.436365\pi\)
−0.491738 + 0.870743i \(0.663638\pi\)
\(338\) 476.356 + 103.625i 1.40934 + 0.306582i
\(339\) −30.5262 + 103.963i −0.0900479 + 0.306675i
\(340\) 81.2566 54.4079i 0.238990 0.160023i
\(341\) −101.562 + 29.8214i −0.297837 + 0.0874528i
\(342\) 62.5934 + 167.819i 0.183022 + 0.490700i
\(343\) −207.670 + 277.415i −0.605453 + 0.808790i
\(344\) 213.440i 0.620466i
\(345\) 52.1137 + 133.531i 0.151054 + 0.387047i
\(346\) −283.883 −0.820471
\(347\) 120.612 + 90.2891i 0.347585 + 0.260199i 0.758778 0.651349i \(-0.225797\pi\)
−0.411193 + 0.911548i \(0.634888\pi\)
\(348\) −95.9062 + 35.7712i −0.275593 + 0.102791i
\(349\) −55.5740 189.268i −0.159238 0.542314i −1.00000 0.000908995i \(-0.999711\pi\)
0.840762 0.541405i \(-0.182108\pi\)
\(350\) −232.173 + 77.7749i −0.663351 + 0.222214i
\(351\) −445.803 130.899i −1.27009 0.372933i
\(352\) 24.3316 111.850i 0.0691238 0.317757i
\(353\) −214.127 + 574.098i −0.606593 + 1.62634i 0.162139 + 0.986768i \(0.448161\pi\)
−0.768732 + 0.639571i \(0.779112\pi\)
\(354\) 74.3322 64.4092i 0.209978 0.181947i
\(355\) 12.6890 + 0.667810i 0.0357437 + 0.00188115i
\(356\) 12.1293 84.3611i 0.0340711 0.236969i
\(357\) 50.5875 + 67.5770i 0.141702 + 0.189291i
\(358\) 36.6860 + 168.643i 0.102475 + 0.471070i
\(359\) −10.6304 + 9.21133i −0.0296113 + 0.0256583i −0.669541 0.742775i \(-0.733509\pi\)
0.639929 + 0.768434i \(0.278964\pi\)
\(360\) −103.936 + 16.9458i −0.288710 + 0.0470716i
\(361\) 60.3284 38.7707i 0.167115 0.107398i
\(362\) −5.47556 + 2.98988i −0.0151259 + 0.00825934i
\(363\) 358.625 25.6494i 0.987947 0.0706594i
\(364\) 88.4460 + 301.219i 0.242984 + 0.827526i
\(365\) −84.9765 + 101.881i −0.232812 + 0.279125i
\(366\) −0.697266 4.84959i −0.00190510 0.0132503i
\(367\) 21.5411 21.5411i 0.0586950 0.0586950i −0.677150 0.735845i \(-0.736785\pi\)
0.735845 + 0.677150i \(0.236785\pi\)
\(368\) 65.2957 64.8110i 0.177434 0.176117i
\(369\) 136.457i 0.369801i
\(370\) −178.549 + 138.979i −0.482566 + 0.375619i
\(371\) −135.640 + 297.010i −0.365607 + 0.800567i
\(372\) −6.24956 + 11.4452i −0.0167999 + 0.0307667i
\(373\) 414.043 29.6130i 1.11004 0.0793913i 0.495743 0.868469i \(-0.334896\pi\)
0.614293 + 0.789078i \(0.289441\pi\)
\(374\) 78.8404 268.506i 0.210803 0.717930i
\(375\) −35.3896 + 151.732i −0.0943724 + 0.404619i
\(376\) 72.6087 + 158.991i 0.193108 + 0.422848i
\(377\) −928.287 66.3924i −2.46230 0.176107i
\(378\) −42.6776 196.186i −0.112904 0.519010i
\(379\) 407.651 + 58.6114i 1.07560 + 0.154647i 0.657274 0.753651i \(-0.271709\pi\)
0.418322 + 0.908299i \(0.362618\pi\)
\(380\) −62.4268 158.214i −0.164281 0.416352i
\(381\) 10.2092 + 6.56103i 0.0267957 + 0.0172205i
\(382\) −59.7306 4.27202i −0.156363 0.0111833i
\(383\) 207.694 556.850i 0.542282 1.45392i −0.319966 0.947429i \(-0.603671\pi\)
0.862248 0.506486i \(-0.169056\pi\)
\(384\) −7.62402 11.8632i −0.0198542 0.0308938i
\(385\) −367.661 + 596.480i −0.954963 + 1.54930i
\(386\) −216.600 + 249.970i −0.561141 + 0.647591i
\(387\) 269.301 493.189i 0.695869 1.27439i
\(388\) 61.8740 23.0778i 0.159469 0.0594789i
\(389\) 356.667 51.2810i 0.916882 0.131828i 0.332311 0.943170i \(-0.392172\pi\)
0.584572 + 0.811342i \(0.301263\pi\)
\(390\) 192.696 + 52.6629i 0.494093 + 0.135033i
\(391\) 170.528 146.655i 0.436133 0.375076i
\(392\) 2.07481 2.07481i 0.00529288 0.00529288i
\(393\) 134.992 180.328i 0.343490 0.458850i
\(394\) 250.902 + 114.583i 0.636806 + 0.290820i
\(395\) −429.796 413.916i −1.08809 1.04789i
\(396\) −197.346 + 227.749i −0.498348 + 0.575124i
\(397\) 241.192 131.701i 0.607537 0.331740i −0.145861 0.989305i \(-0.546595\pi\)
0.753398 + 0.657565i \(0.228413\pi\)
\(398\) 417.664 + 90.8572i 1.04941 + 0.228284i
\(399\) 133.553 60.9914i 0.334718 0.152861i
\(400\) 98.3765 17.9461i 0.245941 0.0448652i
\(401\) −480.759 308.965i −1.19890 0.770486i −0.220134 0.975470i \(-0.570649\pi\)
−0.978765 + 0.204984i \(0.934286\pi\)
\(402\) −76.3193 101.951i −0.189849 0.253609i
\(403\) −94.9142 + 71.0519i −0.235519 + 0.176307i
\(404\) 67.4463 104.948i 0.166946 0.259773i
\(405\) 195.589 + 68.7866i 0.482935 + 0.169843i
\(406\) −167.062 365.816i −0.411484 0.901024i
\(407\) −137.634 + 632.691i −0.338166 + 1.55452i
\(408\) −16.5223 30.2583i −0.0404958 0.0741625i
\(409\) −256.260 222.051i −0.626553 0.542911i 0.282672 0.959217i \(-0.408779\pi\)
−0.909225 + 0.416305i \(0.863325\pi\)
\(410\) −2.43845 129.556i −0.00594744 0.315990i
\(411\) −19.2165 + 42.0783i −0.0467555 + 0.102380i
\(412\) −163.866 122.668i −0.397732 0.297738i
\(413\) 273.244 + 273.244i 0.661607 + 0.661607i
\(414\) −232.650 + 67.3717i −0.561956 + 0.162734i
\(415\) −9.00735 2.46166i −0.0217045 0.00593171i
\(416\) −18.2467 126.909i −0.0438623 0.305069i
\(417\) −1.92180 5.15255i −0.00460864 0.0123562i
\(418\) −427.188 233.262i −1.02198 0.558043i
\(419\) −448.944 389.012i −1.07146 0.928430i −0.0738372 0.997270i \(-0.523525\pi\)
−0.997628 + 0.0688407i \(0.978070\pi\)
\(420\) 19.9331 + 83.9891i 0.0474598 + 0.199974i
\(421\) 232.236 149.249i 0.551628 0.354510i −0.234943 0.972009i \(-0.575490\pi\)
0.786572 + 0.617499i \(0.211854\pi\)
\(422\) 275.786 + 102.863i 0.653522 + 0.243751i
\(423\) 32.8273 458.986i 0.0776060 1.08507i
\(424\) 72.0955 112.183i 0.170037 0.264582i
\(425\) 243.023 26.6044i 0.571818 0.0625986i
\(426\) 0.637521 4.43405i 0.00149653 0.0104086i
\(427\) 18.8094 4.09173i 0.0440500 0.00958250i
\(428\) −4.53167 + 63.3610i −0.0105880 + 0.148040i
\(429\) 519.995 237.474i 1.21211 0.553552i
\(430\) −246.869 + 473.060i −0.574114 + 1.10014i
\(431\) −116.718 34.2715i −0.270807 0.0795162i 0.143509 0.989649i \(-0.454161\pi\)
−0.414317 + 0.910133i \(0.635979\pi\)
\(432\) 5.84964 + 81.7887i 0.0135408 + 0.189326i
\(433\) 362.352 + 197.859i 0.836841 + 0.456950i 0.839703 0.543046i \(-0.182729\pi\)
−0.00286202 + 0.999996i \(0.500911\pi\)
\(434\) −46.6036 21.2832i −0.107382 0.0490396i
\(435\) −253.936 31.6454i −0.583761 0.0727479i
\(436\) −431.751 −0.990254
\(437\) −186.199 344.039i −0.426085 0.787275i
\(438\) 33.0723 + 33.0723i 0.0755076 + 0.0755076i
\(439\) −284.535 + 40.9099i −0.648143 + 0.0931889i −0.458543 0.888672i \(-0.651628\pi\)
−0.189601 + 0.981861i \(0.560719\pi\)
\(440\) 183.296 219.758i 0.416582 0.499450i
\(441\) −7.41201 + 2.17636i −0.0168073 + 0.00493506i
\(442\) −22.3613 312.652i −0.0505911 0.707357i
\(443\) −167.140 306.093i −0.377290 0.690956i 0.618179 0.786037i \(-0.287871\pi\)
−0.995469 + 0.0950817i \(0.969689\pi\)
\(444\) 43.1259 + 67.1052i 0.0971304 + 0.151138i
\(445\) 124.457 172.945i 0.279678 0.388641i
\(446\) −350.371 404.350i −0.785586 0.906614i
\(447\) −187.809 + 40.8553i −0.420154 + 0.0913989i
\(448\) 44.3532 33.2024i 0.0990027 0.0741125i
\(449\) −39.2122 5.63786i −0.0873322 0.0125565i 0.0985102 0.995136i \(-0.468592\pi\)
−0.185842 + 0.982580i \(0.559501\pi\)
\(450\) −249.958 82.6560i −0.555462 0.183680i
\(451\) −242.829 280.240i −0.538424 0.621374i
\(452\) 162.897 + 60.7573i 0.360391 + 0.134419i
\(453\) −300.000 65.2610i −0.662252 0.144064i
\(454\) 55.7811 189.973i 0.122866 0.418443i
\(455\) −152.368 + 769.908i −0.334876 + 1.69210i
\(456\) −57.5337 + 16.8934i −0.126170 + 0.0370469i
\(457\) 166.963 + 447.646i 0.365347 + 0.979532i 0.981425 + 0.191847i \(0.0614478\pi\)
−0.616078 + 0.787685i \(0.711279\pi\)
\(458\) −201.781 + 269.548i −0.440570 + 0.588532i
\(459\) 200.463i 0.436739i
\(460\) 219.680 68.1220i 0.477566 0.148091i
\(461\) −245.241 −0.531976 −0.265988 0.963976i \(-0.585698\pi\)
−0.265988 + 0.963976i \(0.585698\pi\)
\(462\) 197.753 + 148.036i 0.428037 + 0.320425i
\(463\) −377.189 + 140.684i −0.814663 + 0.303854i −0.722043 0.691848i \(-0.756797\pi\)
−0.0926197 + 0.995702i \(0.529524\pi\)
\(464\) 46.2730 + 157.591i 0.0997262 + 0.339636i
\(465\) −27.0890 + 18.1383i −0.0582559 + 0.0390071i
\(466\) 289.176 + 84.9096i 0.620549 + 0.182210i
\(467\) 52.8937 243.148i 0.113263 0.520660i −0.885199 0.465213i \(-0.845978\pi\)
0.998462 0.0554474i \(-0.0176585\pi\)
\(468\) −117.961 + 316.266i −0.252054 + 0.675782i
\(469\) 378.138 327.658i 0.806264 0.698632i
\(470\) −22.9652 + 436.361i −0.0488622 + 0.928428i
\(471\) 47.2875 328.892i 0.100398 0.698284i
\(472\) −94.5773 126.340i −0.200376 0.267671i
\(473\) 324.584 + 1492.09i 0.686224 + 3.15452i
\(474\) −158.983 + 137.759i −0.335406 + 0.290631i
\(475\) 44.6332 422.862i 0.0939647 0.890237i
\(476\) 113.947 73.2291i 0.239384 0.153843i
\(477\) −308.132 + 168.253i −0.645978 + 0.352731i
\(478\) 108.339 7.74858i 0.226651 0.0162104i
\(479\) 1.83030 + 6.23343i 0.00382109 + 0.0130134i 0.961381 0.275219i \(-0.0887505\pi\)
−0.957560 + 0.288233i \(0.906932\pi\)
\(480\) −3.17633 35.1112i −0.00661735 0.0731483i
\(481\) 103.214 + 717.870i 0.214582 + 1.49245i
\(482\) −397.998 + 397.998i −0.825721 + 0.825721i
\(483\) 68.6894 + 186.280i 0.142214 + 0.385672i
\(484\) 576.910i 1.19196i
\(485\) 163.827 + 20.4160i 0.337788 + 0.0420949i
\(486\) 138.752 303.825i 0.285498 0.625154i
\(487\) −96.6453 + 176.993i −0.198450 + 0.363435i −0.957886 0.287147i \(-0.907293\pi\)
0.759436 + 0.650582i \(0.225475\pi\)
\(488\) −7.84152 + 0.560836i −0.0160687 + 0.00114925i
\(489\) 17.4706 59.4993i 0.0357271 0.121675i
\(490\) 6.99828 2.19875i 0.0142822 0.00448725i
\(491\) −96.9260 212.238i −0.197405 0.432257i 0.784880 0.619647i \(-0.212724\pi\)
−0.982286 + 0.187390i \(0.939997\pi\)
\(492\) −45.5660 3.25895i −0.0926139 0.00662387i
\(493\) 85.3525 + 392.359i 0.173129 + 0.795861i
\(494\) −539.631 77.5872i −1.09237 0.157059i
\(495\) −700.808 + 276.519i −1.41577 + 0.558625i
\(496\) 17.6025 + 11.3124i 0.0354889 + 0.0228074i
\(497\) 17.5551 + 1.25556i 0.0353220 + 0.00252628i
\(498\) −1.15042 + 3.08440i −0.00231008 + 0.00619357i
\(499\) 102.845 + 160.030i 0.206102 + 0.320701i 0.928881 0.370378i \(-0.120772\pi\)
−0.722779 + 0.691079i \(0.757136\pi\)
\(500\) 238.794 + 74.0092i 0.477588 + 0.148018i
\(501\) 19.2991 22.2724i 0.0385212 0.0444559i
\(502\) 164.042 300.421i 0.326777 0.598448i
\(503\) 498.783 186.036i 0.991616 0.369854i 0.199283 0.979942i \(-0.436139\pi\)
0.792334 + 0.610088i \(0.208866\pi\)
\(504\) −144.377 + 20.7583i −0.286463 + 0.0411872i
\(505\) 270.870 154.593i 0.536377 0.306125i
\(506\) 357.900 552.368i 0.707313 1.09164i
\(507\) 303.817 303.817i 0.599244 0.599244i
\(508\) 11.6695 15.5886i 0.0229714 0.0306862i
\(509\) −747.360 341.308i −1.46829 0.670546i −0.488867 0.872358i \(-0.662590\pi\)
−0.979424 + 0.201812i \(0.935317\pi\)
\(510\) −1.62192 86.1732i −0.00318024 0.168967i
\(511\) −120.336 + 138.875i −0.235491 + 0.271771i
\(512\) −19.8596 + 10.8442i −0.0387883 + 0.0211800i
\(513\) 340.695 + 74.1137i 0.664123 + 0.144471i
\(514\) −349.275 + 159.509i −0.679523 + 0.310328i
\(515\) −221.304 461.406i −0.429716 0.895935i
\(516\) 158.255 + 101.705i 0.306697 + 0.197102i
\(517\) 749.364 + 1001.03i 1.44945 + 1.93623i
\(518\) −250.888 + 187.812i −0.484339 + 0.362572i
\(519\) −135.271 + 210.485i −0.260637 + 0.405559i
\(520\) 106.344 302.380i 0.204508 0.581499i
\(521\) 166.021 + 363.535i 0.318658 + 0.697764i 0.999396 0.0347638i \(-0.0110679\pi\)
−0.680738 + 0.732527i \(0.738341\pi\)
\(522\) 91.9144 422.524i 0.176081 0.809433i
\(523\) −168.862 309.248i −0.322872 0.591296i 0.664949 0.746889i \(-0.268453\pi\)
−0.987821 + 0.155592i \(0.950271\pi\)
\(524\) −273.160 236.694i −0.521297 0.451707i
\(525\) −52.9645 + 209.205i −0.100885 + 0.398485i
\(526\) 70.4438 154.250i 0.133924 0.293252i
\(527\) 40.9511 + 30.6556i 0.0777060 + 0.0581700i
\(528\) −71.3376 71.3376i −0.135109 0.135109i
\(529\) 482.819 216.163i 0.912702 0.408626i
\(530\) 289.542 165.250i 0.546306 0.311792i
\(531\) 59.1303 + 411.260i 0.111357 + 0.774501i
\(532\) −82.3282 220.731i −0.154752 0.414907i
\(533\) −364.539 199.054i −0.683939 0.373459i
\(534\) −56.7700 49.1915i −0.106311 0.0921189i
\(535\) −83.3284 + 135.189i −0.155754 + 0.252690i
\(536\) −171.907 + 110.478i −0.320722 + 0.206115i
\(537\) 142.521 + 53.1577i 0.265403 + 0.0989902i
\(538\) −6.16418 + 86.1865i −0.0114576 + 0.160198i
\(539\) 11.3491 17.6595i 0.0210558 0.0327634i
\(540\) −81.6334 + 188.039i −0.151173 + 0.348220i
\(541\) −122.202 + 849.936i −0.225882 + 1.57105i 0.489305 + 0.872113i \(0.337251\pi\)
−0.715187 + 0.698933i \(0.753659\pi\)
\(542\) −321.173 + 69.8670i −0.592571 + 0.128906i
\(543\) −0.392262 + 5.48454i −0.000722398 + 0.0101004i
\(544\) −50.3193 + 22.9801i −0.0924987 + 0.0422427i
\(545\) −956.913 499.371i −1.75580 0.916277i
\(546\) 265.484 + 77.9531i 0.486234 + 0.142771i
\(547\) −31.5783 441.522i −0.0577300 0.807170i −0.941022 0.338346i \(-0.890132\pi\)
0.883292 0.468824i \(-0.155322\pi\)
\(548\) 65.1460 + 35.5724i 0.118880 + 0.0649132i
\(549\) 18.8267 + 8.59788i 0.0342928 + 0.0156610i
\(550\) 660.425 275.059i 1.20077 0.500106i
\(551\) 698.385 1.26749
\(552\) −16.9407 79.2961i −0.0306896 0.143652i
\(553\) −584.416 584.416i −1.05681 1.05681i
\(554\) −165.339 + 23.7722i −0.298447 + 0.0429102i
\(555\) 17.9672 + 198.609i 0.0323732 + 0.357855i
\(556\) −8.46657 + 2.48601i −0.0152276 + 0.00447124i
\(557\) 20.2855 + 283.629i 0.0364193 + 0.509208i 0.982620 + 0.185628i \(0.0594320\pi\)
−0.946201 + 0.323580i \(0.895113\pi\)
\(558\) −26.4004 48.3487i −0.0473125 0.0866464i
\(559\) 924.699 + 1438.86i 1.65420 + 2.57399i
\(560\) 136.705 22.2885i 0.244116 0.0398010i
\(561\) −161.516 186.400i −0.287908 0.332263i
\(562\) 501.793 109.158i 0.892870 0.194232i
\(563\) 134.478 100.669i 0.238859 0.178808i −0.473141 0.880986i \(-0.656880\pi\)
0.712001 + 0.702178i \(0.247789\pi\)
\(564\) 152.482 + 21.9236i 0.270358 + 0.0388716i
\(565\) 290.764 + 323.069i 0.514626 + 0.571804i
\(566\) 36.2527 + 41.8378i 0.0640507 + 0.0739184i
\(567\) 269.069 + 100.358i 0.474548 + 0.176997i
\(568\) −7.02366 1.52790i −0.0123656 0.00268997i
\(569\) −121.019 + 412.153i −0.212687 + 0.724347i 0.782170 + 0.623065i \(0.214113\pi\)
−0.994858 + 0.101282i \(0.967705\pi\)
\(570\) −147.054 29.1027i −0.257990 0.0510574i
\(571\) 535.071 157.111i 0.937077 0.275151i 0.222680 0.974891i \(-0.428519\pi\)
0.714397 + 0.699741i \(0.246701\pi\)
\(572\) −320.550 859.427i −0.560402 1.50250i
\(573\) −31.6292 + 42.2517i −0.0551993 + 0.0737377i
\(574\) 179.480i 0.312682i
\(575\) 565.681 + 103.104i 0.983792 + 0.179311i
\(576\) 59.5712 0.103422
\(577\) −586.299 438.898i −1.01612 0.760655i −0.0449333 0.998990i \(-0.514308\pi\)
−0.971183 + 0.238335i \(0.923398\pi\)
\(578\) 256.226 95.5675i 0.443298 0.165342i
\(579\) 82.1302 + 279.710i 0.141848 + 0.483091i
\(580\) −79.7157 + 402.798i −0.137441 + 0.694480i
\(581\) −12.4097 3.64382i −0.0213592 0.00627164i
\(582\) 12.3720 56.8731i 0.0212577 0.0977202i
\(583\) 333.396 893.869i 0.571862 1.53322i
\(584\) 56.7175 49.1460i 0.0971190 0.0841541i
\(585\) −627.243 + 564.521i −1.07221 + 0.964994i
\(586\) 6.43772 44.7753i 0.0109859 0.0764084i
\(587\) −228.653 305.444i −0.389528 0.520348i 0.562320 0.826920i \(-0.309909\pi\)
−0.951848 + 0.306572i \(0.900818\pi\)
\(588\) −0.549719 2.52702i −0.000934897 0.00429765i
\(589\) 67.2404 58.2642i 0.114160 0.0989205i
\(590\) −63.4891 389.405i −0.107609 0.660009i
\(591\) 204.512 131.432i 0.346045 0.222389i
\(592\) 112.338 61.3409i 0.189759 0.103616i
\(593\) −232.996 + 16.6642i −0.392910 + 0.0281015i −0.266397 0.963863i \(-0.585833\pi\)
−0.126513 + 0.991965i \(0.540379\pi\)
\(594\) 165.271 + 562.861i 0.278234 + 0.947577i
\(595\) 337.245 30.5088i 0.566798 0.0512753i
\(596\) 43.8900 + 305.262i 0.0736410 + 0.512184i
\(597\) 266.383 266.383i 0.446203 0.446203i
\(598\) 159.392 719.793i 0.266542 1.20367i
\(599\) 157.380i 0.262739i −0.991333 0.131369i \(-0.958063\pi\)
0.991333 0.131369i \(-0.0419374\pi\)
\(600\) 33.5704 81.4927i 0.0559507 0.135821i
\(601\) 56.6463 124.038i 0.0942535 0.206386i −0.856633 0.515926i \(-0.827448\pi\)
0.950886 + 0.309540i \(0.100175\pi\)
\(602\) −354.209 + 648.684i −0.588386 + 1.07755i
\(603\) 536.610 38.3791i 0.889901 0.0636470i
\(604\) −138.790 + 472.676i −0.229785 + 0.782575i
\(605\) 667.265 1278.64i 1.10292 2.11345i
\(606\) −45.6758 100.016i −0.0753727 0.165043i
\(607\) 970.123 + 69.3845i 1.59822 + 0.114307i 0.841806 0.539780i \(-0.181493\pi\)
0.756419 + 0.654087i \(0.226947\pi\)
\(608\) 20.4518 + 94.0155i 0.0336379 + 0.154631i
\(609\) −350.840 50.4431i −0.576092 0.0828295i
\(610\) −18.0283 7.82664i −0.0295545 0.0128306i
\(611\) 1178.28 + 757.234i 1.92844 + 1.23934i
\(612\) 145.265 + 10.3896i 0.237362 + 0.0169764i
\(613\) −80.8910 + 216.877i −0.131959 + 0.353797i −0.986078 0.166281i \(-0.946824\pi\)
0.854119 + 0.520077i \(0.174097\pi\)
\(614\) 17.6351 + 27.4408i 0.0287217 + 0.0446918i
\(615\) −97.2211 59.9255i −0.158083 0.0974399i
\(616\) 259.566 299.555i 0.421374 0.486291i
\(617\) 99.6789 182.548i 0.161554 0.295864i −0.784345 0.620325i \(-0.787001\pi\)
0.945899 + 0.324460i \(0.105183\pi\)
\(618\) −169.035 + 63.0466i −0.273519 + 0.102017i
\(619\) 793.333 114.064i 1.28164 0.184272i 0.532354 0.846522i \(-0.321308\pi\)
0.749283 + 0.662250i \(0.230398\pi\)
\(620\) 25.9292 + 45.4318i 0.0418213 + 0.0732771i
\(621\) −134.517 + 451.890i −0.216614 + 0.727681i
\(622\) −194.656 + 194.656i −0.312951 + 0.312951i
\(623\) 176.862 236.260i 0.283888 0.379230i
\(624\) −102.791 46.9432i −0.164729 0.0752294i
\(625\) 443.652 + 440.225i 0.709843 + 0.704359i
\(626\) −547.666 + 632.040i −0.874866 + 1.00965i
\(627\) −376.508 + 205.589i −0.600491 + 0.327893i
\(628\) −520.973 113.331i −0.829575 0.180463i
\(629\) 284.635 129.989i 0.452520 0.206659i
\(630\) −344.001 120.982i −0.546034 0.192035i
\(631\) 458.930 + 294.936i 0.727306 + 0.467411i 0.851171 0.524888i \(-0.175893\pi\)
−0.123866 + 0.992299i \(0.539529\pi\)
\(632\) 202.283 + 270.218i 0.320068 + 0.427561i
\(633\) 207.680 155.468i 0.328089 0.245604i
\(634\) −281.998 + 438.797i −0.444791 + 0.692109i
\(635\) 43.8937 21.0527i 0.0691240 0.0331539i
\(636\) −48.8244 106.911i −0.0767679 0.168098i
\(637\) 4.99805 22.9757i 0.00784623 0.0360685i
\(638\) 563.131 + 1031.30i 0.882651 + 1.61645i
\(639\) 14.3015 + 12.3924i 0.0223811 + 0.0193934i
\(640\) −56.5585 + 1.06452i −0.0883727 + 0.00166332i
\(641\) −113.724 + 249.021i −0.177417 + 0.388489i −0.977359 0.211589i \(-0.932136\pi\)
0.799942 + 0.600078i \(0.204864\pi\)
\(642\) 44.8197 + 33.5516i 0.0698126 + 0.0522611i
\(643\) 349.150 + 349.150i 0.543001 + 0.543001i 0.924407 0.381406i \(-0.124560\pi\)
−0.381406 + 0.924407i \(0.624560\pi\)
\(644\) 306.001 88.6131i 0.475157 0.137598i
\(645\) 233.117 + 408.455i 0.361421 + 0.633263i
\(646\) 33.4752 + 232.825i 0.0518193 + 0.360411i
\(647\) 248.065 + 665.089i 0.383408 + 1.02796i 0.975095 + 0.221789i \(0.0711897\pi\)
−0.591686 + 0.806168i \(0.701538\pi\)
\(648\) −102.938 56.2085i −0.158855 0.0867415i
\(649\) −853.286 739.377i −1.31477 1.13926i
\(650\) 585.434 547.181i 0.900668 0.841817i
\(651\) −37.9871 + 24.4128i −0.0583519 + 0.0375005i
\(652\) −93.2279 34.7722i −0.142988 0.0533316i
\(653\) −3.16383 + 44.2361i −0.00484507 + 0.0677429i −0.999299 0.0374266i \(-0.988084\pi\)
0.994454 + 0.105169i \(0.0335385\pi\)
\(654\) −205.730 + 320.122i −0.314571 + 0.489483i
\(655\) −331.654 840.541i −0.506342 1.28327i
\(656\) −10.4318 + 72.5547i −0.0159021 + 0.110602i
\(657\) −193.064 + 41.9984i −0.293856 + 0.0639245i
\(658\) −43.1774 + 603.698i −0.0656191 + 0.917475i
\(659\) 148.918 68.0088i 0.225976 0.103200i −0.299210 0.954187i \(-0.596723\pi\)
0.525186 + 0.850987i \(0.323996\pi\)
\(660\) −75.5990 240.620i −0.114544 0.364576i
\(661\) −169.994 49.9147i −0.257177 0.0755139i 0.150603 0.988594i \(-0.451879\pi\)
−0.407779 + 0.913080i \(0.633697\pi\)
\(662\) −4.97903 69.6159i −0.00752119 0.105160i
\(663\) −242.471 132.399i −0.365718 0.199697i
\(664\) 4.80484 + 2.19430i 0.00723621 + 0.00330467i
\(665\) 72.8326 584.440i 0.109523 0.878857i
\(666\) −336.969 −0.505960
\(667\) −70.8817 + 941.741i −0.106269 + 1.41191i
\(668\) −33.4375 33.4375i −0.0500561 0.0500561i
\(669\) −466.758 + 67.1096i −0.697695 + 0.100313i
\(670\) −508.787 + 46.0273i −0.759384 + 0.0686975i
\(671\) −53.9645 + 15.8454i −0.0804239 + 0.0236146i
\(672\) −3.48357 48.7067i −0.00518389 0.0724802i
\(673\) −248.958 455.932i −0.369922 0.677462i 0.624719 0.780850i \(-0.285214\pi\)
−0.994641 + 0.103388i \(0.967032\pi\)
\(674\) 80.6179 + 125.444i 0.119611 + 0.186118i
\(675\) −398.418 + 322.341i −0.590249 + 0.477543i
\(676\) −451.477 521.032i −0.667865 0.770757i
\(677\) −58.4249 + 12.7095i −0.0862996 + 0.0187733i −0.255508 0.966807i \(-0.582243\pi\)
0.169208 + 0.985580i \(0.445879\pi\)
\(678\) 122.669 91.8288i 0.180928 0.135441i
\(679\) 226.345 + 32.5435i 0.333350 + 0.0479285i
\(680\) −138.105 7.26830i −0.203095 0.0106887i
\(681\) −114.276 131.881i −0.167806 0.193658i
\(682\) 140.256 + 52.3129i 0.205654 + 0.0767051i
\(683\) −943.731 205.296i −1.38174 0.300580i −0.540549 0.841313i \(-0.681783\pi\)
−0.841194 + 0.540733i \(0.818147\pi\)
\(684\) 71.3638 243.043i 0.104333 0.355326i
\(685\) 103.243 + 154.190i 0.150720 + 0.225095i
\(686\) 470.222 138.070i 0.685455 0.201268i
\(687\) 103.707 + 278.050i 0.150957 + 0.404731i
\(688\) 180.892 241.644i 0.262925 0.351226i
\(689\) 1068.60i 1.55094i
\(690\) 54.1688 195.342i 0.0785055 0.283105i
\(691\) 52.7010 0.0762677 0.0381338 0.999273i \(-0.487859\pi\)
0.0381338 + 0.999273i \(0.487859\pi\)
\(692\) 321.394 + 240.593i 0.464442 + 0.347677i
\(693\) −977.725 + 364.673i −1.41086 + 0.526223i
\(694\) −60.0287 204.439i −0.0864967 0.294581i
\(695\) −21.6403 4.28272i −0.0311371 0.00616218i
\(696\) 138.895 + 40.7833i 0.199562 + 0.0585967i
\(697\) −38.0921 + 175.107i −0.0546515 + 0.251229i
\(698\) −97.4883 + 261.376i −0.139668 + 0.374464i
\(699\) 200.749 173.950i 0.287194 0.248855i
\(700\) 328.766 + 108.716i 0.469666 + 0.155309i
\(701\) 53.8841 374.772i 0.0768675 0.534625i −0.914609 0.404339i \(-0.867501\pi\)
0.991476 0.130286i \(-0.0415895\pi\)
\(702\) 393.771 + 526.017i 0.560928 + 0.749312i
\(703\) −115.687 531.807i −0.164563 0.756482i
\(704\) −122.341 + 106.009i −0.173779 + 0.150581i
\(705\) 312.597 + 224.954i 0.443400 + 0.319084i
\(706\) 728.973 468.483i 1.03254 0.663573i
\(707\) 379.146 207.029i 0.536274 0.292828i
\(708\) −138.741 + 9.92298i −0.195962 + 0.0140155i
\(709\) 340.298 + 1158.95i 0.479969 + 1.63462i 0.742606 + 0.669728i \(0.233590\pi\)
−0.262637 + 0.964895i \(0.584592\pi\)
\(710\) −13.7997 11.5101i −0.0194362 0.0162114i
\(711\) −126.469 879.608i −0.177874 1.23714i
\(712\) −85.2286 + 85.2286i −0.119703 + 0.119703i
\(713\) 71.7421 + 96.5841i 0.100620 + 0.135462i
\(714\) 119.380i 0.167198i
\(715\) 283.578 2275.55i 0.396612 3.18259i
\(716\) 101.392 222.019i 0.141610 0.310082i
\(717\) 45.8786 84.0205i 0.0639869 0.117183i
\(718\) 19.8418 1.41911i 0.0276348 0.00197648i
\(719\) −155.147 + 528.383i −0.215782 + 0.734886i 0.778457 + 0.627698i \(0.216003\pi\)
−0.994239 + 0.107188i \(0.965815\pi\)
\(720\) 132.031 + 68.9011i 0.183376 + 0.0956960i
\(721\) −294.447 644.749i −0.408387 0.894243i
\(722\) −101.158 7.23499i −0.140109 0.0100208i
\(723\) 105.449 + 484.742i 0.145849 + 0.670459i
\(724\) 8.73302 + 1.25562i 0.0120622 + 0.00173428i
\(725\) −642.563 + 800.544i −0.886293 + 1.10420i
\(726\) −427.750 274.898i −0.589188 0.378648i
\(727\) −403.430 28.8539i −0.554924 0.0396890i −0.208939 0.977929i \(-0.567001\pi\)
−0.345986 + 0.938240i \(0.612455\pi\)
\(728\) 155.153 415.980i 0.213122 0.571401i
\(729\) 42.6101 + 66.3026i 0.0584500 + 0.0909500i
\(730\) 182.549 43.3245i 0.250068 0.0593486i
\(731\) 483.253 557.703i 0.661084 0.762932i
\(732\) −3.32066 + 6.08134i −0.00453642 + 0.00830784i
\(733\) −530.759 + 197.963i −0.724091 + 0.270072i −0.684366 0.729138i \(-0.739921\pi\)
−0.0397253 + 0.999211i \(0.512648\pi\)
\(734\) −42.6436 + 6.13123i −0.0580976 + 0.00835317i
\(735\) 1.70442 6.23659i 0.00231895 0.00848515i
\(736\) −128.851 + 18.0364i −0.175070 + 0.0245059i
\(737\) −1033.73 + 1033.73i −1.40262 + 1.40262i
\(738\) 115.648 154.488i 0.156705 0.209333i
\(739\) −714.201 326.165i −0.966443 0.441360i −0.131270 0.991347i \(-0.541905\pi\)
−0.835173 + 0.549987i \(0.814633\pi\)
\(740\) 319.928 6.02157i 0.432335 0.00813725i
\(741\) −314.662 + 363.139i −0.424645 + 0.490066i
\(742\) 405.281 221.300i 0.546201 0.298248i
\(743\) −146.216 31.8074i −0.196792 0.0428094i 0.113089 0.993585i \(-0.463925\pi\)
−0.309881 + 0.950775i \(0.600289\pi\)
\(744\) 16.7752 7.66100i 0.0225474 0.0102970i
\(745\) −255.796 + 727.333i −0.343350 + 0.976286i
\(746\) −493.851 317.379i −0.661998 0.425441i
\(747\) −8.33379 11.1326i −0.0111564 0.0149031i
\(748\) −316.819 + 237.167i −0.423554 + 0.317069i
\(749\) −118.921 + 185.045i −0.158774 + 0.247057i
\(750\) 168.660 141.789i 0.224880 0.189051i
\(751\) −43.9136 96.1573i −0.0584735 0.128039i 0.878140 0.478404i \(-0.158785\pi\)
−0.936613 + 0.350365i \(0.886057\pi\)
\(752\) 52.5429 241.536i 0.0698709 0.321191i
\(753\) −144.581 264.780i −0.192006 0.351633i
\(754\) 994.679 + 861.894i 1.31920 + 1.14310i
\(755\) −854.314 + 887.090i −1.13154 + 1.17495i
\(756\) −117.952 + 258.278i −0.156021 + 0.341638i
\(757\) −141.306 105.780i −0.186666 0.139736i 0.501858 0.864950i \(-0.332650\pi\)
−0.688524 + 0.725214i \(0.741741\pi\)
\(758\) −411.843 411.843i −0.543329 0.543329i
\(759\) −239.014 528.570i −0.314906 0.696403i
\(760\) −63.4117 + 232.027i −0.0834364 + 0.305298i
\(761\) 183.301 + 1274.89i 0.240869 + 1.67528i 0.647791 + 0.761818i \(0.275693\pi\)
−0.406922 + 0.913463i \(0.633398\pi\)
\(762\) −5.99764 16.0803i −0.00787092 0.0211028i
\(763\) −1312.17 716.499i −1.71975 0.939055i
\(764\) 64.0026 + 55.4586i 0.0837731 + 0.0725898i
\(765\) 309.943 + 191.044i 0.405154 + 0.249730i
\(766\) −707.072 + 454.407i −0.923070 + 0.593221i
\(767\) −1184.92 441.953i −1.54488 0.576210i
\(768\) −1.42272 + 19.8922i −0.00185250 + 0.0259013i
\(769\) 398.694 620.380i 0.518458 0.806737i −0.479013 0.877808i \(-0.659005\pi\)
0.997471 + 0.0710712i \(0.0226418\pi\)
\(770\) 921.763 363.702i 1.19709 0.472340i
\(771\) −48.1623 + 334.976i −0.0624673 + 0.434470i
\(772\) 457.073 99.4301i 0.592063 0.128795i
\(773\) 68.8017 961.974i 0.0890061 1.24447i −0.735071 0.677990i \(-0.762851\pi\)
0.824077 0.566478i \(-0.191694\pi\)
\(774\) −722.867 + 330.122i −0.933936 + 0.426514i
\(775\) 4.92109 + 130.683i 0.00634979 + 0.168624i
\(776\) −89.6084 26.3114i −0.115475 0.0339065i
\(777\) 19.7051 + 275.513i 0.0253605 + 0.354586i
\(778\) −447.257 244.221i −0.574880 0.313908i
\(779\) 283.517 + 129.478i 0.363950 + 0.166210i
\(780\) −173.526 222.933i −0.222470 0.285812i
\(781\) −51.4235 −0.0658432
\(782\) −317.352 + 21.5095i −0.405821 + 0.0275058i
\(783\) −595.191 595.191i −0.760142 0.760142i
\(784\) −4.10738 + 0.590552i −0.00523901 + 0.000753256i
\(785\) −1023.58 853.749i −1.30393 1.08758i
\(786\) −305.658 + 89.7493i −0.388878 + 0.114185i
\(787\) −6.74704 94.3359i −0.00857311 0.119868i 0.991363 0.131144i \(-0.0418651\pi\)
−0.999936 + 0.0112764i \(0.996411\pi\)
\(788\) −186.945 342.364i −0.237240 0.434472i
\(789\) −80.8025 125.731i −0.102411 0.159355i
\(790\) 135.791 + 832.864i 0.171888 + 1.05426i
\(791\) 394.245 + 454.983i 0.498413 + 0.575199i
\(792\) 416.441 90.5913i 0.525810 0.114383i
\(793\) −50.4320 + 37.7530i −0.0635965 + 0.0476078i
\(794\) −384.680 55.3086i −0.484484 0.0696582i
\(795\) 15.4425 293.423i 0.0194246 0.369085i
\(796\) −395.850 456.835i −0.497299 0.573914i
\(797\) 33.3971 + 12.4565i 0.0419036 + 0.0156292i 0.370329 0.928901i \(-0.379245\pi\)
−0.328425 + 0.944530i \(0.606518\pi\)
\(798\) −202.890 44.1361i −0.254249 0.0553084i
\(799\) 170.252 579.825i 0.213081 0.725689i
\(800\) −126.585 63.0573i −0.158231 0.0788216i
\(801\) 304.469 89.4002i 0.380111 0.111611i
\(802\) 282.435 + 757.236i 0.352163 + 0.944185i
\(803\) 321.755 429.815i 0.400691 0.535261i
\(804\) 180.103i 0.224009i
\(805\) 780.698 + 157.528i 0.969812 + 0.195687i
\(806\) 167.673 0.208031
\(807\) 60.9658 + 45.6384i 0.0755462 + 0.0565532i
\(808\) −165.303 + 61.6548i −0.204583 + 0.0763054i
\(809\) 292.932 + 997.633i 0.362091 + 1.23317i 0.916199 + 0.400724i \(0.131241\pi\)
−0.554108 + 0.832445i \(0.686941\pi\)
\(810\) −163.136 243.638i −0.201402 0.300788i
\(811\) −547.693 160.817i −0.675331 0.198295i −0.0739552 0.997262i \(-0.523562\pi\)
−0.601375 + 0.798967i \(0.705380\pi\)
\(812\) −120.894 + 555.740i −0.148884 + 0.684409i
\(813\) −101.237 + 271.426i −0.124522 + 0.333857i
\(814\) 692.030 599.648i 0.850160 0.736668i
\(815\) −166.408 184.897i −0.204182 0.226867i
\(816\) −6.93864 + 48.2593i −0.00850323 + 0.0591413i
\(817\) −769.174 1027.50i −0.941461 1.25764i
\(818\) 101.932 + 468.574i 0.124611 + 0.572829i
\(819\) −883.355 + 765.431i −1.07858 + 0.934593i
\(820\) −107.039 + 148.741i −0.130535 + 0.181392i
\(821\) 755.087 485.265i 0.919717 0.591066i 0.00714119 0.999975i \(-0.497727\pi\)
0.912575 + 0.408909i \(0.134091\pi\)
\(822\) 57.4174 31.3523i 0.0698508 0.0381414i
\(823\) 1190.65 85.1572i 1.44672 0.103472i 0.674243 0.738510i \(-0.264470\pi\)
0.772481 + 0.635038i \(0.219016\pi\)
\(824\) 81.5560 + 277.754i 0.0989757 + 0.337080i
\(825\) 110.751 620.738i 0.134244 0.752410i
\(826\) −77.7733 540.925i −0.0941565 0.654873i
\(827\) −447.530 + 447.530i −0.541148 + 0.541148i −0.923866 0.382717i \(-0.874988\pi\)
0.382717 + 0.923866i \(0.374988\pi\)
\(828\) 320.489 + 120.898i 0.387064 + 0.146012i
\(829\) 396.355i 0.478112i 0.971006 + 0.239056i \(0.0768380\pi\)
−0.971006 + 0.239056i \(0.923162\pi\)
\(830\) 8.11127 + 10.4207i 0.00977262 + 0.0125551i
\(831\) −61.1585 + 133.919i −0.0735963 + 0.161153i
\(832\) −86.8983 + 159.142i −0.104445 + 0.191277i
\(833\) −10.1189 + 0.723719i −0.0121476 + 0.000868811i
\(834\) −2.19108 + 7.46213i −0.00262719 + 0.00894740i
\(835\) −35.4349 112.784i −0.0424370 0.135070i
\(836\) 285.943 + 626.129i 0.342038 + 0.748958i
\(837\) −106.960 7.64992i −0.127790 0.00913969i
\(838\) 178.575 + 820.897i 0.213097 + 0.979591i
\(839\) −444.390 63.8936i −0.529666 0.0761545i −0.127707 0.991812i \(-0.540762\pi\)
−0.401959 + 0.915657i \(0.631671\pi\)
\(840\) 48.6143 111.981i 0.0578741 0.133310i
\(841\) −710.869 456.848i −0.845266 0.543220i
\(842\) −389.412 27.8513i −0.462484 0.0330775i
\(843\) 158.170 424.069i 0.187627 0.503047i
\(844\) −225.051 350.186i −0.266648 0.414912i
\(845\) −397.997 1676.98i −0.471003 1.98459i
\(846\) −426.159 + 491.814i −0.503734 + 0.581340i
\(847\) 957.394 1753.34i 1.13033 2.07005i
\(848\) −176.698 + 65.9048i −0.208370 + 0.0777179i
\(849\) 48.2951 6.94379i 0.0568847 0.00817879i
\(850\) −297.682 175.844i −0.350214 0.206875i
\(851\) 728.859 102.024i 0.856473 0.119887i
\(852\) −4.47965 + 4.47965i −0.00525781 + 0.00525781i
\(853\) 491.655 656.774i 0.576383 0.769958i −0.413704 0.910411i \(-0.635765\pi\)
0.990087 + 0.140454i \(0.0448561\pi\)
\(854\) −24.7625 11.3087i −0.0289959 0.0132420i
\(855\) 439.275 456.128i 0.513772 0.533484i
\(856\) 58.8293 67.8927i 0.0687259 0.0793139i
\(857\) −925.316 + 505.261i −1.07971 + 0.589569i −0.917722 0.397223i \(-0.869974\pi\)
−0.161993 + 0.986792i \(0.551792\pi\)
\(858\) −789.965 171.846i −0.920706 0.200287i
\(859\) −595.716 + 272.054i −0.693499 + 0.316710i −0.730798 0.682594i \(-0.760852\pi\)
0.0372990 + 0.999304i \(0.488125\pi\)
\(860\) 680.411 326.345i 0.791175 0.379471i
\(861\) −133.075 85.5223i −0.154559 0.0993290i
\(862\) 103.095 + 137.719i 0.119600 + 0.159767i
\(863\) −154.492 + 115.652i −0.179018 + 0.134011i −0.685029 0.728516i \(-0.740210\pi\)
0.506011 + 0.862527i \(0.331120\pi\)
\(864\) 62.6938 97.5535i 0.0725623 0.112909i
\(865\) 434.050 + 904.969i 0.501791 + 1.04621i
\(866\) −242.545 531.099i −0.280075 0.613279i
\(867\) 51.2336 235.517i 0.0590930 0.271646i
\(868\) 34.7240 + 63.5923i 0.0400047 + 0.0732631i
\(869\) 1825.02 + 1581.39i 2.10014 + 1.81978i
\(870\) 260.670 + 251.039i 0.299621 + 0.288551i
\(871\) −680.241 + 1489.52i −0.780989 + 1.71013i
\(872\) 488.800 + 365.911i 0.560551 + 0.419623i
\(873\) 173.857 + 173.857i 0.199149 + 0.199149i
\(874\) −80.7726 + 547.304i −0.0924171 + 0.626206i
\(875\) 602.920 + 621.211i 0.689051 + 0.709956i
\(876\) −9.41336 65.4714i −0.0107458 0.0747390i
\(877\) 569.120 + 1525.87i 0.648940 + 1.73988i 0.672440 + 0.740151i \(0.265246\pi\)
−0.0235006 + 0.999724i \(0.507481\pi\)
\(878\) 356.804 + 194.830i 0.406382 + 0.221902i
\(879\) −30.1311 26.1088i −0.0342789 0.0297028i
\(880\) −393.762 + 93.4516i −0.447457 + 0.106195i
\(881\) 1154.87 742.193i 1.31087 0.842443i 0.316517 0.948587i \(-0.397487\pi\)
0.994351 + 0.106143i \(0.0338503\pi\)
\(882\) 10.2359 + 3.81779i 0.0116053 + 0.00432856i
\(883\) −15.4530 + 216.061i −0.0175006 + 0.244690i 0.981170 + 0.193145i \(0.0618689\pi\)
−0.998671 + 0.0515444i \(0.983586\pi\)
\(884\) −239.658 + 372.916i −0.271107 + 0.421850i
\(885\) −318.977 138.478i −0.360427 0.156472i
\(886\) −70.1913 + 488.191i −0.0792227 + 0.551006i
\(887\) −922.219 + 200.616i −1.03971 + 0.226174i −0.699840 0.714300i \(-0.746745\pi\)
−0.339866 + 0.940474i \(0.610382\pi\)
\(888\) 8.04771 112.522i 0.00906274 0.126714i
\(889\) 61.3352 28.0108i 0.0689935 0.0315083i
\(890\) −287.474 + 90.3199i −0.323005 + 0.101483i
\(891\) −805.083 236.394i −0.903572 0.265313i
\(892\) 53.9787 + 754.721i 0.0605143 + 0.846100i
\(893\) −922.491 503.718i −1.03302 0.564074i
\(894\) 247.250 + 112.915i 0.276566 + 0.126304i
\(895\) 481.513 374.800i 0.538003 0.418770i
\(896\) −78.3531 −0.0874477
\(897\) −457.740 461.163i −0.510301 0.514118i
\(898\) 39.6154 + 39.6154i 0.0441151 + 0.0441151i
\(899\) −212.606 + 30.5681i −0.236491 + 0.0340023i
\(900\) 212.935 + 305.419i 0.236594 + 0.339354i
\(901\) −442.374 + 129.893i −0.490982 + 0.144165i
\(902\) 37.4106 + 523.069i 0.0414752 + 0.579899i
\(903\) 312.187 + 571.727i 0.345722 + 0.633142i
\(904\) −132.929 206.841i −0.147045 0.228807i
\(905\) 17.9032 + 12.8837i 0.0197826 + 0.0142361i
\(906\) 284.332 + 328.137i 0.313832 + 0.362182i
\(907\) −477.573 + 103.890i −0.526541 + 0.114542i −0.467975 0.883742i \(-0.655016\pi\)
−0.0585658 + 0.998284i \(0.518653\pi\)
\(908\) −224.155 + 167.800i −0.246867 + 0.184802i
\(909\) 459.750 + 66.1021i 0.505776 + 0.0727196i
\(910\) 825.004 742.507i 0.906597 0.815942i
\(911\) 1030.32 + 1189.06i 1.13098 + 1.30522i 0.946616 + 0.322363i \(0.104477\pi\)
0.184364 + 0.982858i \(0.440977\pi\)
\(912\) 79.4532 + 29.6345i 0.0871197 + 0.0324940i
\(913\) 36.9259 + 8.03274i 0.0404446 + 0.00879819i
\(914\) 190.358 648.299i 0.208269 0.709299i
\(915\) −14.3936 + 9.63766i −0.0157307 + 0.0105330i
\(916\) 456.887 134.154i 0.498785 0.146456i
\(917\) −437.384 1172.67i −0.476973 1.27881i
\(918\) 169.894 226.952i 0.185070 0.247224i
\(919\) 499.443i 0.543463i −0.962373 0.271732i \(-0.912404\pi\)
0.962373 0.271732i \(-0.0875963\pi\)
\(920\) −306.442 109.057i −0.333089 0.118540i
\(921\) 28.7491 0.0312151
\(922\) 277.646 + 207.843i 0.301135 + 0.225427i
\(923\) −53.9678 + 20.1290i −0.0584700 + 0.0218082i
\(924\) −98.4219 335.194i −0.106517 0.362764i
\(925\) 716.039 + 356.689i 0.774096 + 0.385610i
\(926\) 546.260 + 160.396i 0.589914 + 0.173214i
\(927\) 161.999 744.697i 0.174756 0.803341i
\(928\) 81.1723 217.631i 0.0874702 0.234517i
\(929\) 62.3019 53.9849i 0.0670634 0.0581107i −0.620684 0.784061i \(-0.713145\pi\)
0.687748 + 0.725950i \(0.258600\pi\)
\(930\) 46.0408 + 2.42308i 0.0495062 + 0.00260546i
\(931\) −2.51110 + 17.4651i −0.00269720 + 0.0187595i
\(932\) −255.425 341.208i −0.274061 0.366103i
\(933\) 51.5739 + 237.081i 0.0552774 + 0.254106i
\(934\) −265.953 + 230.449i −0.284746 + 0.246734i
\(935\) −976.495 + 159.209i −1.04438 + 0.170277i
\(936\) 401.585 258.083i 0.429044 0.275730i
\(937\) 336.115 183.533i 0.358715 0.195873i −0.289778 0.957094i \(-0.593582\pi\)
0.648493 + 0.761221i \(0.275400\pi\)
\(938\) −705.796 + 50.4795i −0.752448 + 0.0538161i
\(939\) 207.663 + 707.236i 0.221153 + 0.753180i
\(940\) 395.819 474.557i 0.421084 0.504848i
\(941\) 212.451 + 1477.63i 0.225772 + 1.57028i 0.715632 + 0.698478i \(0.246139\pi\)
−0.489860 + 0.871801i \(0.662952\pi\)
\(942\) −332.274 + 332.274i −0.352732 + 0.352732i
\(943\) −203.370 + 369.169i −0.215663 + 0.391483i
\(944\) 223.190i 0.236430i
\(945\) −560.153 + 436.011i −0.592754 + 0.461388i
\(946\) 897.081 1964.33i 0.948289 2.07646i
\(947\) 531.374 973.140i 0.561113 1.02760i −0.431011 0.902347i \(-0.641843\pi\)
0.992124 0.125256i \(-0.0399752\pi\)
\(948\) 296.742 21.2234i 0.313019 0.0223875i
\(949\) 169.430 577.027i 0.178536 0.608037i
\(950\) −408.910 + 440.911i −0.430431 + 0.464117i
\(951\) 190.974 + 418.175i 0.200814 + 0.439721i
\(952\) −191.065 13.6653i −0.200699 0.0143543i
\(953\) −159.564 733.505i −0.167434 0.769680i −0.981889 0.189455i \(-0.939328\pi\)
0.814456 0.580226i \(-0.197036\pi\)
\(954\) 491.442 + 70.6587i 0.515138 + 0.0740657i
\(955\) 77.7081 + 196.943i 0.0813698 + 0.206223i
\(956\) −129.222 83.0458i −0.135169 0.0868680i
\(957\) 1032.99 + 73.8808i 1.07940 + 0.0772004i
\(958\) 3.21072 8.60829i 0.00335149 0.00898569i
\(959\) 138.958 + 216.222i 0.144898 + 0.225466i
\(960\) −26.1609 + 42.4426i −0.0272510 + 0.0442110i
\(961\) 611.402 705.595i 0.636214 0.734230i
\(962\) 491.547 900.201i 0.510964 0.935760i
\(963\) −221.596 + 82.6511i −0.230110 + 0.0858267i
\(964\) 787.893 113.282i 0.817317 0.117512i
\(965\) 1128.04 + 308.287i 1.16895 + 0.319468i
\(966\) 80.1076 269.109i 0.0829271 0.278581i
\(967\) 392.460 392.460i 0.405853 0.405853i −0.474437 0.880290i \(-0.657348\pi\)
0.880290 + 0.474437i \(0.157348\pi\)
\(968\) −488.935 + 653.141i −0.505098 + 0.674732i
\(969\) 188.580 + 86.1214i 0.194613 + 0.0888766i
\(970\) −168.172 161.958i −0.173373 0.166967i
\(971\) 750.097 865.658i 0.772499 0.891512i −0.224045 0.974579i \(-0.571926\pi\)
0.996544 + 0.0830671i \(0.0264716\pi\)
\(972\) −414.580 + 226.378i −0.426523 + 0.232899i
\(973\) −29.8570 6.49500i −0.0306856 0.00667523i
\(974\) 259.418 118.472i 0.266343 0.121635i
\(975\) −126.748 694.803i −0.129998 0.712618i
\(976\) 9.35298 + 6.01079i 0.00958297 + 0.00615860i
\(977\) −261.032 348.698i −0.267177 0.356907i 0.646809 0.762652i \(-0.276103\pi\)
−0.913986 + 0.405745i \(0.867012\pi\)
\(978\) −70.2051 + 52.5549i −0.0717844 + 0.0537371i
\(979\) −466.195 + 725.413i −0.476195 + 0.740974i
\(980\) −9.78646 3.44180i −0.00998619 0.00351204i
\(981\) −667.777 1462.23i −0.680710 1.49055i
\(982\) −70.1399 + 322.428i −0.0714256 + 0.328338i
\(983\) 131.094 + 240.081i 0.133361 + 0.244233i 0.935823 0.352471i \(-0.114658\pi\)
−0.802461 + 0.596704i \(0.796477\pi\)
\(984\) 48.8250 + 42.3071i 0.0496189 + 0.0429950i
\(985\) −18.3516 975.025i −0.0186310 0.989873i
\(986\) 235.896 516.541i 0.239246 0.523875i
\(987\) 427.038 + 319.677i 0.432663 + 0.323887i
\(988\) 545.180 + 545.180i 0.551801 + 0.551801i
\(989\) 1463.60 932.911i 1.47988 0.943288i
\(990\) 1027.76 + 280.882i 1.03814 + 0.283719i
\(991\) 113.781 + 791.367i 0.114815 + 0.798554i 0.963125 + 0.269055i \(0.0867112\pi\)
−0.848310 + 0.529500i \(0.822380\pi\)
\(992\) −10.3411 27.7255i −0.0104245 0.0279491i
\(993\) −53.9892 29.4804i −0.0543698 0.0296882i
\(994\) −18.8106 16.2995i −0.0189242 0.0163979i
\(995\) −348.960 1470.36i −0.350714 1.47775i
\(996\) 3.91648 2.51697i 0.00393221 0.00252708i
\(997\) 461.175 + 172.009i 0.462563 + 0.172527i 0.569931 0.821692i \(-0.306970\pi\)
−0.107369 + 0.994219i \(0.534242\pi\)
\(998\) 19.1919 268.337i 0.0192303 0.268875i
\(999\) −354.633 + 551.819i −0.354988 + 0.552372i
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 230.3.k.a.3.6 240
5.2 odd 4 inner 230.3.k.a.187.7 yes 240
23.8 even 11 inner 230.3.k.a.123.7 yes 240
115.77 odd 44 inner 230.3.k.a.77.6 yes 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
230.3.k.a.3.6 240 1.1 even 1 trivial
230.3.k.a.77.6 yes 240 115.77 odd 44 inner
230.3.k.a.123.7 yes 240 23.8 even 11 inner
230.3.k.a.187.7 yes 240 5.2 odd 4 inner