Properties

Label 350.3.w.a.23.20
Level $350$
Weight $3$
Character 350.23
Analytic conductor $9.537$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [350,3,Mod(23,350)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(350, base_ring=CyclotomicField(60))
 
chi = DirichletCharacter(H, H._module([33, 20]))
 
N = Newforms(chi, 3, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("350.23");
 
S:= CuspForms(chi, 3);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 350 = 2 \cdot 5^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 350.w (of order \(60\), degree \(16\), 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: \(9.53680925261\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(20\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 23.20
Character \(\chi\) \(=\) 350.23
Dual form 350.3.w.a.137.20

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.09905 + 0.889993i) q^{2} +(4.74169 + 3.07929i) q^{3} +(0.415823 + 1.95630i) q^{4} +(-2.40553 + 4.38331i) q^{5} +(2.47081 + 7.60437i) q^{6} +(4.97800 - 4.92134i) q^{7} +(-1.28408 + 2.52015i) q^{8} +(9.34097 + 20.9802i) q^{9} +O(q^{10})\) \(q+(1.09905 + 0.889993i) q^{2} +(4.74169 + 3.07929i) q^{3} +(0.415823 + 1.95630i) q^{4} +(-2.40553 + 4.38331i) q^{5} +(2.47081 + 7.60437i) q^{6} +(4.97800 - 4.92134i) q^{7} +(-1.28408 + 2.52015i) q^{8} +(9.34097 + 20.9802i) q^{9} +(-6.54492 + 2.67658i) q^{10} +(1.00154 + 0.445914i) q^{11} +(-4.05229 + 10.5566i) q^{12} +(-3.46629 - 21.8853i) q^{13} +(9.85103 - 0.978412i) q^{14} +(-24.9038 + 13.3770i) q^{15} +(-3.65418 + 1.62695i) q^{16} +(0.833208 + 15.8986i) q^{17} +(-8.40601 + 31.3717i) q^{18} +(7.39520 - 34.7917i) q^{19} +(-9.57533 - 2.88324i) q^{20} +(38.7583 - 8.00676i) q^{21} +(0.703882 + 1.38145i) q^{22} +(-13.9005 + 17.1657i) q^{23} +(-13.8490 + 7.99571i) q^{24} +(-13.4269 - 21.0884i) q^{25} +(15.6681 - 27.1380i) q^{26} +(-12.3520 + 77.9872i) q^{27} +(11.6976 + 7.69202i) q^{28} +(-5.78647 - 1.88014i) q^{29} +(-39.2759 - 7.46221i) q^{30} +(-14.8703 + 16.5151i) q^{31} +(-5.46410 - 1.46410i) q^{32} +(3.37589 + 5.19842i) q^{33} +(-13.2339 + 18.2149i) q^{34} +(9.59704 + 33.6585i) q^{35} +(-37.1592 + 26.9977i) q^{36} +(20.0534 - 52.2410i) q^{37} +(39.0921 - 31.6561i) q^{38} +(50.9551 - 114.447i) q^{39} +(-7.95770 - 11.6908i) q^{40} +(5.72972 + 4.16288i) q^{41} +(49.7233 + 25.6948i) q^{42} +(13.0927 + 13.0927i) q^{43} +(-0.455876 + 2.14473i) q^{44} +(-114.433 - 9.52402i) q^{45} +(-30.5546 + 6.49459i) q^{46} +(17.1312 + 0.897807i) q^{47} +(-22.3368 - 3.53781i) q^{48} +(0.560898 - 48.9968i) q^{49} +(4.01173 - 35.1270i) q^{50} +(-45.0054 + 77.9517i) q^{51} +(41.3727 - 15.8815i) q^{52} +(-56.0683 - 36.4112i) q^{53} +(-82.9835 + 74.7187i) q^{54} +(-4.36381 + 3.31740i) q^{55} +(6.01035 + 18.8647i) q^{56} +(142.199 - 142.199i) q^{57} +(-4.68632 - 7.21629i) q^{58} +(49.5825 + 5.21133i) q^{59} +(-36.5249 - 43.1567i) q^{60} +(4.76752 + 45.3600i) q^{61} +(-31.0415 + 4.91650i) q^{62} +(149.750 + 58.4691i) q^{63} +(-4.70228 - 6.47214i) q^{64} +(104.268 + 37.4519i) q^{65} +(-0.916282 + 8.71785i) q^{66} +(1.41739 + 27.0453i) q^{67} +(-30.7558 + 8.24099i) q^{68} +(-118.770 + 38.5906i) q^{69} +(-19.4082 + 45.5337i) q^{70} +(1.49845 - 4.61174i) q^{71} +(-64.8677 - 3.39957i) q^{72} +(34.7566 + 90.5441i) q^{73} +(68.5339 - 39.5680i) q^{74} +(1.27123 - 141.340i) q^{75} +71.1379 q^{76} +(7.18015 - 2.70915i) q^{77} +(157.859 - 80.4334i) q^{78} +(-21.6330 + 19.4784i) q^{79} +(1.65883 - 19.9311i) q^{80} +(-160.411 + 178.154i) q^{81} +(2.59231 + 9.67463i) q^{82} +(-8.57626 + 16.8319i) q^{83} +(31.7802 + 72.4934i) q^{84} +(-71.6926 - 34.5922i) q^{85} +(2.73713 + 26.0420i) q^{86} +(-21.6482 - 26.7333i) q^{87} +(-2.40983 + 1.95144i) q^{88} +(14.5949 - 1.53399i) q^{89} +(-117.291 - 112.312i) q^{90} +(-124.960 - 91.8862i) q^{91} +(-39.3612 - 20.0556i) q^{92} +(-121.365 + 32.5197i) q^{93} +(18.0290 + 16.2334i) q^{94} +(134.713 + 116.108i) q^{95} +(-21.4007 - 23.7679i) q^{96} +(39.2340 + 77.0010i) q^{97} +(44.2233 - 53.3507i) q^{98} +25.1777i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q - 40 q^{2} - 6 q^{5} + 2 q^{7} - 160 q^{8} - 40 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q - 40 q^{2} - 6 q^{5} + 2 q^{7} - 160 q^{8} - 40 q^{9} - 16 q^{11} - 30 q^{14} + 52 q^{15} - 160 q^{16} + 94 q^{17} + 496 q^{18} - 40 q^{19} + 16 q^{20} - 68 q^{21} - 32 q^{22} - 16 q^{23} - 62 q^{25} + 144 q^{27} - 8 q^{28} + 200 q^{29} - 46 q^{30} - 84 q^{31} - 640 q^{32} + 222 q^{33} - 252 q^{35} - 576 q^{36} + 214 q^{37} - 16 q^{38} + 320 q^{39} - 4 q^{40} - 128 q^{41} - 136 q^{42} + 100 q^{43} + 40 q^{44} - 214 q^{45} - 48 q^{46} - 110 q^{47} + 172 q^{50} - 56 q^{51} - 262 q^{53} - 184 q^{55} + 48 q^{56} - 244 q^{57} - 180 q^{58} + 520 q^{59} - 96 q^{60} - 216 q^{61} + 552 q^{62} + 968 q^{63} - 150 q^{65} + 16 q^{66} - 190 q^{67} - 88 q^{68} + 1060 q^{69} + 114 q^{70} + 340 q^{71} - 208 q^{72} + 134 q^{73} - 84 q^{75} - 64 q^{76} - 98 q^{77} + 532 q^{78} - 80 q^{79} - 56 q^{80} - 112 q^{81} + 256 q^{82} - 1216 q^{83} - 380 q^{84} - 48 q^{85} + 40 q^{86} - 334 q^{87} - 52 q^{88} + 990 q^{89} + 672 q^{90} - 42 q^{91} - 256 q^{92} + 306 q^{93} + 432 q^{95} - 576 q^{97} + 12 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/350\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{11}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.09905 + 0.889993i 0.549525 + 0.444997i
\(3\) 4.74169 + 3.07929i 1.58056 + 1.02643i 0.972606 + 0.232461i \(0.0746777\pi\)
0.607958 + 0.793969i \(0.291989\pi\)
\(4\) 0.415823 + 1.95630i 0.103956 + 0.489074i
\(5\) −2.40553 + 4.38331i −0.481106 + 0.876662i
\(6\) 2.47081 + 7.60437i 0.411801 + 1.26739i
\(7\) 4.97800 4.92134i 0.711142 0.703048i
\(8\) −1.28408 + 2.52015i −0.160510 + 0.315018i
\(9\) 9.34097 + 20.9802i 1.03789 + 2.33113i
\(10\) −6.54492 + 2.67658i −0.654492 + 0.267658i
\(11\) 1.00154 + 0.445914i 0.0910491 + 0.0405377i 0.451756 0.892142i \(-0.350798\pi\)
−0.360707 + 0.932679i \(0.617464\pi\)
\(12\) −4.05229 + 10.5566i −0.337691 + 0.879716i
\(13\) −3.46629 21.8853i −0.266638 1.68348i −0.650037 0.759902i \(-0.725247\pi\)
0.383400 0.923583i \(-0.374753\pi\)
\(14\) 9.85103 0.978412i 0.703645 0.0698866i
\(15\) −24.9038 + 13.3770i −1.66025 + 0.891799i
\(16\) −3.65418 + 1.62695i −0.228386 + 0.101684i
\(17\) 0.833208 + 15.8986i 0.0490122 + 0.935209i 0.906893 + 0.421361i \(0.138447\pi\)
−0.857881 + 0.513848i \(0.828219\pi\)
\(18\) −8.40601 + 31.3717i −0.467001 + 1.74287i
\(19\) 7.39520 34.7917i 0.389221 1.83114i −0.149632 0.988742i \(-0.547809\pi\)
0.538853 0.842400i \(-0.318858\pi\)
\(20\) −9.57533 2.88324i −0.478766 0.144162i
\(21\) 38.7583 8.00676i 1.84564 0.381274i
\(22\) 0.703882 + 1.38145i 0.0319946 + 0.0627930i
\(23\) −13.9005 + 17.1657i −0.604369 + 0.746333i −0.983875 0.178856i \(-0.942760\pi\)
0.379507 + 0.925189i \(0.376094\pi\)
\(24\) −13.8490 + 7.99571i −0.577040 + 0.333154i
\(25\) −13.4269 21.0884i −0.537074 0.843535i
\(26\) 15.6681 27.1380i 0.602621 1.04377i
\(27\) −12.3520 + 77.9872i −0.457480 + 2.88841i
\(28\) 11.6976 + 7.69202i 0.417770 + 0.274715i
\(29\) −5.78647 1.88014i −0.199534 0.0648324i 0.207545 0.978225i \(-0.433453\pi\)
−0.407079 + 0.913393i \(0.633453\pi\)
\(30\) −39.2759 7.46221i −1.30920 0.248740i
\(31\) −14.8703 + 16.5151i −0.479687 + 0.532746i −0.933608 0.358296i \(-0.883358\pi\)
0.453922 + 0.891042i \(0.350025\pi\)
\(32\) −5.46410 1.46410i −0.170753 0.0457532i
\(33\) 3.37589 + 5.19842i 0.102300 + 0.157528i
\(34\) −13.2339 + 18.2149i −0.389231 + 0.535731i
\(35\) 9.59704 + 33.6585i 0.274201 + 0.961672i
\(36\) −37.1592 + 26.9977i −1.03220 + 0.749937i
\(37\) 20.0534 52.2410i 0.541985 1.41192i −0.339904 0.940460i \(-0.610395\pi\)
0.881889 0.471458i \(-0.156272\pi\)
\(38\) 39.0921 31.6561i 1.02874 0.833056i
\(39\) 50.9551 114.447i 1.30654 2.93454i
\(40\) −7.95770 11.6908i −0.198943 0.292270i
\(41\) 5.72972 + 4.16288i 0.139749 + 0.101534i 0.655463 0.755227i \(-0.272473\pi\)
−0.515714 + 0.856761i \(0.672473\pi\)
\(42\) 49.7233 + 25.6948i 1.18389 + 0.611782i
\(43\) 13.0927 + 13.0927i 0.304482 + 0.304482i 0.842765 0.538282i \(-0.180927\pi\)
−0.538282 + 0.842765i \(0.680927\pi\)
\(44\) −0.455876 + 2.14473i −0.0103608 + 0.0487438i
\(45\) −114.433 9.52402i −2.54295 0.211645i
\(46\) −30.5546 + 6.49459i −0.664231 + 0.141187i
\(47\) 17.1312 + 0.897807i 0.364493 + 0.0191023i 0.233704 0.972308i \(-0.424915\pi\)
0.130790 + 0.991410i \(0.458249\pi\)
\(48\) −22.3368 3.53781i −0.465351 0.0737043i
\(49\) 0.560898 48.9968i 0.0114469 0.999934i
\(50\) 4.01173 35.1270i 0.0802345 0.702540i
\(51\) −45.0054 + 77.9517i −0.882460 + 1.52846i
\(52\) 41.3727 15.8815i 0.795630 0.305414i
\(53\) −56.0683 36.4112i −1.05789 0.687003i −0.106290 0.994335i \(-0.533897\pi\)
−0.951602 + 0.307332i \(0.900564\pi\)
\(54\) −82.9835 + 74.7187i −1.53673 + 1.38368i
\(55\) −4.36381 + 3.31740i −0.0793421 + 0.0603164i
\(56\) 6.01035 + 18.8647i 0.107328 + 0.336869i
\(57\) 142.199 142.199i 2.49473 2.49473i
\(58\) −4.68632 7.21629i −0.0807985 0.124419i
\(59\) 49.5825 + 5.21133i 0.840381 + 0.0883276i 0.514931 0.857232i \(-0.327817\pi\)
0.325450 + 0.945559i \(0.394484\pi\)
\(60\) −36.5249 43.1567i −0.608748 0.719278i
\(61\) 4.76752 + 45.3600i 0.0781561 + 0.743606i 0.961486 + 0.274854i \(0.0886295\pi\)
−0.883330 + 0.468752i \(0.844704\pi\)
\(62\) −31.0415 + 4.91650i −0.500670 + 0.0792983i
\(63\) 149.750 + 58.4691i 2.37698 + 0.928082i
\(64\) −4.70228 6.47214i −0.0734732 0.101127i
\(65\) 104.268 + 37.4519i 1.60413 + 0.576183i
\(66\) −0.916282 + 8.71785i −0.0138831 + 0.132089i
\(67\) 1.41739 + 27.0453i 0.0211550 + 0.403662i 0.988599 + 0.150575i \(0.0481125\pi\)
−0.967444 + 0.253087i \(0.918554\pi\)
\(68\) −30.7558 + 8.24099i −0.452291 + 0.121191i
\(69\) −118.770 + 38.5906i −1.72130 + 0.559285i
\(70\) −19.4082 + 45.5337i −0.277261 + 0.650482i
\(71\) 1.49845 4.61174i 0.0211049 0.0649542i −0.939949 0.341314i \(-0.889128\pi\)
0.961054 + 0.276360i \(0.0891281\pi\)
\(72\) −64.8677 3.39957i −0.900940 0.0472163i
\(73\) 34.7566 + 90.5441i 0.476118 + 1.24033i 0.935890 + 0.352293i \(0.114598\pi\)
−0.459772 + 0.888037i \(0.652069\pi\)
\(74\) 68.5339 39.5680i 0.926133 0.534703i
\(75\) 1.27123 141.340i 0.0169497 1.88453i
\(76\) 71.1379 0.936025
\(77\) 7.18015 2.70915i 0.0932488 0.0351838i
\(78\) 157.859 80.4334i 2.02384 1.03120i
\(79\) −21.6330 + 19.4784i −0.273835 + 0.246562i −0.794593 0.607142i \(-0.792316\pi\)
0.520758 + 0.853704i \(0.325649\pi\)
\(80\) 1.65883 19.9311i 0.0207353 0.249139i
\(81\) −160.411 + 178.154i −1.98038 + 2.19944i
\(82\) 2.59231 + 9.67463i 0.0316135 + 0.117983i
\(83\) −8.57626 + 16.8319i −0.103328 + 0.202794i −0.936882 0.349644i \(-0.886302\pi\)
0.833554 + 0.552438i \(0.186302\pi\)
\(84\) 31.7802 + 72.4934i 0.378336 + 0.863016i
\(85\) −71.6926 34.5922i −0.843443 0.406967i
\(86\) 2.73713 + 26.0420i 0.0318271 + 0.302814i
\(87\) −21.6482 26.7333i −0.248830 0.307279i
\(88\) −2.40983 + 1.95144i −0.0273844 + 0.0221754i
\(89\) 14.5949 1.53399i 0.163988 0.0172358i −0.0221788 0.999754i \(-0.507060\pi\)
0.186166 + 0.982518i \(0.440394\pi\)
\(90\) −117.291 112.312i −1.30323 1.24791i
\(91\) −124.960 91.8862i −1.37319 1.00974i
\(92\) −39.3612 20.0556i −0.427840 0.217995i
\(93\) −121.365 + 32.5197i −1.30500 + 0.349674i
\(94\) 18.0290 + 16.2334i 0.191798 + 0.172696i
\(95\) 134.713 + 116.108i 1.41804 + 1.22219i
\(96\) −21.4007 23.7679i −0.222924 0.247582i
\(97\) 39.2340 + 77.0010i 0.404474 + 0.793825i 0.999954 0.00954503i \(-0.00303832\pi\)
−0.595481 + 0.803370i \(0.703038\pi\)
\(98\) 44.2233 53.3507i 0.451258 0.544395i
\(99\) 25.1777i 0.254321i
\(100\) 35.6719 35.0359i 0.356719 0.350359i
\(101\) −65.9072 114.155i −0.652546 1.13024i −0.982503 0.186247i \(-0.940367\pi\)
0.329956 0.943996i \(-0.392966\pi\)
\(102\) −118.840 + 45.6183i −1.16510 + 0.447238i
\(103\) 0.530986 10.1318i 0.00515520 0.0983671i −0.994840 0.101456i \(-0.967650\pi\)
0.999995 + 0.00308887i \(0.000983221\pi\)
\(104\) 59.6052 + 19.3669i 0.573127 + 0.186220i
\(105\) −58.1382 + 189.150i −0.553697 + 1.80143i
\(106\) −29.2162 89.9181i −0.275624 0.848284i
\(107\) 14.4956 + 54.0983i 0.135473 + 0.505592i 0.999996 + 0.00299772i \(0.000954205\pi\)
−0.864523 + 0.502594i \(0.832379\pi\)
\(108\) −157.702 + 8.26482i −1.46020 + 0.0765261i
\(109\) 85.0937 + 8.94371i 0.780676 + 0.0820524i 0.486479 0.873692i \(-0.338281\pi\)
0.294197 + 0.955745i \(0.404948\pi\)
\(110\) −7.74852 0.237775i −0.0704411 0.00216159i
\(111\) 255.952 185.960i 2.30588 1.67532i
\(112\) −10.1838 + 26.0824i −0.0909264 + 0.232879i
\(113\) −9.60315 60.6319i −0.0849836 0.536565i −0.993046 0.117730i \(-0.962438\pi\)
0.908062 0.418836i \(-0.137562\pi\)
\(114\) 282.841 29.7278i 2.48106 0.260770i
\(115\) −41.8044 102.223i −0.363517 0.888892i
\(116\) 1.27196 12.1019i 0.0109651 0.104326i
\(117\) 426.779 277.153i 3.64768 2.36883i
\(118\) 49.8556 + 49.8556i 0.422505 + 0.422505i
\(119\) 82.3898 + 75.0424i 0.692351 + 0.630609i
\(120\) −1.73357 79.9383i −0.0144464 0.666152i
\(121\) −80.1606 89.0273i −0.662484 0.735763i
\(122\) −35.1303 + 54.0959i −0.287953 + 0.443409i
\(123\) 14.3498 + 37.3826i 0.116665 + 0.303923i
\(124\) −38.4919 22.2233i −0.310418 0.179220i
\(125\) 124.736 8.12539i 0.997885 0.0650031i
\(126\) 112.545 + 197.537i 0.893218 + 1.56775i
\(127\) 25.2112 159.177i 0.198514 1.25336i −0.664155 0.747595i \(-0.731208\pi\)
0.862668 0.505770i \(-0.168792\pi\)
\(128\) 0.592114 11.2982i 0.00462589 0.0882672i
\(129\) 21.7654 + 102.398i 0.168724 + 0.793783i
\(130\) 81.2642 + 133.960i 0.625110 + 1.03046i
\(131\) −78.7761 16.7444i −0.601344 0.127820i −0.102827 0.994699i \(-0.532789\pi\)
−0.498517 + 0.866880i \(0.666122\pi\)
\(132\) −8.76587 + 8.76587i −0.0664081 + 0.0664081i
\(133\) −134.408 209.587i −1.01059 1.57584i
\(134\) −22.5124 + 30.9856i −0.168003 + 0.231236i
\(135\) −312.129 241.743i −2.31207 1.79069i
\(136\) −41.1366 18.3152i −0.302475 0.134671i
\(137\) −60.9655 75.2861i −0.445004 0.549534i 0.504450 0.863441i \(-0.331695\pi\)
−0.949454 + 0.313907i \(0.898362\pi\)
\(138\) −164.879 63.2913i −1.19478 0.458632i
\(139\) 136.340 + 187.656i 0.980862 + 1.35004i 0.936363 + 0.351032i \(0.114169\pi\)
0.0444990 + 0.999009i \(0.485831\pi\)
\(140\) −61.8554 + 32.7706i −0.441824 + 0.234076i
\(141\) 78.4662 + 57.0090i 0.556498 + 0.404319i
\(142\) 5.75129 3.73493i 0.0405020 0.0263023i
\(143\) 6.28734 23.4647i 0.0439674 0.164089i
\(144\) −68.2672 61.4681i −0.474078 0.426862i
\(145\) 22.1608 20.8412i 0.152833 0.143732i
\(146\) −42.3844 + 130.446i −0.290304 + 0.893463i
\(147\) 153.535 230.600i 1.04446 1.56871i
\(148\) 110.537 + 17.5074i 0.746875 + 0.118293i
\(149\) −120.754 69.7173i −0.810428 0.467901i 0.0366762 0.999327i \(-0.488323\pi\)
−0.847105 + 0.531426i \(0.821656\pi\)
\(150\) 127.189 154.208i 0.847924 1.02805i
\(151\) 8.87112 + 15.3652i 0.0587491 + 0.101756i 0.893904 0.448258i \(-0.147955\pi\)
−0.835155 + 0.550015i \(0.814622\pi\)
\(152\) 78.1841 + 63.3123i 0.514369 + 0.416528i
\(153\) −325.771 + 165.989i −2.12922 + 1.08489i
\(154\) 10.3025 + 3.41279i 0.0668992 + 0.0221610i
\(155\) −36.6200 104.909i −0.236258 0.676830i
\(156\) 245.081 + 52.0935i 1.57103 + 0.333933i
\(157\) 138.208 + 37.0327i 0.880304 + 0.235877i 0.670538 0.741875i \(-0.266063\pi\)
0.209766 + 0.977752i \(0.432730\pi\)
\(158\) −41.1114 + 2.15456i −0.260199 + 0.0136364i
\(159\) −153.738 345.301i −0.966905 2.17170i
\(160\) 19.5617 20.4289i 0.122260 0.127681i
\(161\) 15.2815 + 153.860i 0.0949159 + 0.955649i
\(162\) −334.856 + 53.0360i −2.06701 + 0.327383i
\(163\) −90.6527 34.7983i −0.556151 0.213486i 0.0640259 0.997948i \(-0.479606\pi\)
−0.620177 + 0.784462i \(0.712939\pi\)
\(164\) −5.76128 + 12.9400i −0.0351297 + 0.0789027i
\(165\) −30.9071 + 2.29264i −0.187316 + 0.0138948i
\(166\) −24.4060 + 10.8662i −0.147024 + 0.0654593i
\(167\) −246.503 125.600i −1.47607 0.752094i −0.483680 0.875245i \(-0.660700\pi\)
−0.992388 + 0.123151i \(0.960700\pi\)
\(168\) −29.5906 + 107.958i −0.176134 + 0.642607i
\(169\) −306.223 + 99.4978i −1.81197 + 0.588744i
\(170\) −48.0069 101.825i −0.282394 0.598968i
\(171\) 799.014 169.836i 4.67260 0.993191i
\(172\) −20.1690 + 31.0575i −0.117262 + 0.180567i
\(173\) −129.032 + 159.342i −0.745851 + 0.921049i −0.998923 0.0463981i \(-0.985226\pi\)
0.253072 + 0.967447i \(0.418559\pi\)
\(174\) 48.6479i 0.279586i
\(175\) −170.622 38.8998i −0.974982 0.222285i
\(176\) −4.38529 −0.0249164
\(177\) 219.058 + 177.389i 1.23761 + 1.00220i
\(178\) 17.4058 + 11.3034i 0.0977852 + 0.0635025i
\(179\) −35.5044 167.035i −0.198349 0.933157i −0.958870 0.283845i \(-0.908390\pi\)
0.760522 0.649313i \(-0.224943\pi\)
\(180\) −28.9520 227.824i −0.160844 1.26569i
\(181\) 19.3045 + 59.4130i 0.106654 + 0.328249i 0.990115 0.140257i \(-0.0447927\pi\)
−0.883461 + 0.468505i \(0.844793\pi\)
\(182\) −55.5594 212.201i −0.305271 1.16594i
\(183\) −117.070 + 229.763i −0.639729 + 1.25554i
\(184\) −25.4107 57.0733i −0.138101 0.310181i
\(185\) 180.749 + 213.568i 0.977024 + 1.15442i
\(186\) −162.329 72.2734i −0.872735 0.388567i
\(187\) −6.25490 + 16.2946i −0.0334487 + 0.0871367i
\(188\) 5.36717 + 33.8870i 0.0285488 + 0.180250i
\(189\) 322.313 + 449.008i 1.70536 + 2.37570i
\(190\) 44.7216 + 247.503i 0.235377 + 1.30264i
\(191\) −191.577 + 85.2955i −1.00302 + 0.446574i −0.841478 0.540292i \(-0.818314\pi\)
−0.161543 + 0.986866i \(0.551647\pi\)
\(192\) −2.36718 45.1686i −0.0123291 0.235253i
\(193\) −2.28099 + 8.51276i −0.0118186 + 0.0441076i −0.971583 0.236698i \(-0.923935\pi\)
0.959765 + 0.280805i \(0.0906015\pi\)
\(194\) −25.4103 + 119.546i −0.130981 + 0.616216i
\(195\) 379.083 + 498.658i 1.94402 + 2.55722i
\(196\) 96.0854 19.2767i 0.490232 0.0983507i
\(197\) −89.3593 175.378i −0.453601 0.890241i −0.998655 0.0518408i \(-0.983491\pi\)
0.545055 0.838400i \(-0.316509\pi\)
\(198\) −22.4080 + 27.6716i −0.113172 + 0.139756i
\(199\) 241.787 139.596i 1.21501 0.701485i 0.251162 0.967945i \(-0.419187\pi\)
0.963846 + 0.266460i \(0.0858540\pi\)
\(200\) 70.3869 6.75851i 0.351935 0.0337925i
\(201\) −76.5596 + 132.605i −0.380894 + 0.659727i
\(202\) 29.1615 184.119i 0.144364 0.911478i
\(203\) −38.0578 + 19.1179i −0.187477 + 0.0941766i
\(204\) −171.211 55.6298i −0.839269 0.272695i
\(205\) −32.0302 + 15.1012i −0.156245 + 0.0736644i
\(206\) 9.60083 10.6628i 0.0466060 0.0517612i
\(207\) −489.982 131.290i −2.36706 0.634253i
\(208\) 48.2727 + 74.3334i 0.232080 + 0.357372i
\(209\) 22.9207 31.5476i 0.109668 0.150946i
\(210\) −232.239 + 156.143i −1.10590 + 0.743539i
\(211\) −306.649 + 222.794i −1.45331 + 1.05589i −0.468271 + 0.883585i \(0.655123\pi\)
−0.985043 + 0.172310i \(0.944877\pi\)
\(212\) 47.9165 124.827i 0.226021 0.588805i
\(213\) 21.3061 17.2533i 0.100028 0.0810015i
\(214\) −32.2157 + 72.3577i −0.150541 + 0.338120i
\(215\) −88.8845 + 25.8946i −0.413416 + 0.120440i
\(216\) −180.678 131.270i −0.836473 0.607733i
\(217\) 7.25226 + 155.394i 0.0334205 + 0.716101i
\(218\) 85.5624 + 85.5624i 0.392488 + 0.392488i
\(219\) −114.006 + 536.358i −0.520577 + 2.44912i
\(220\) −8.30439 7.15746i −0.0377472 0.0325339i
\(221\) 345.056 73.3440i 1.56134 0.331873i
\(222\) 446.808 + 23.4162i 2.01265 + 0.105478i
\(223\) 4.45803 + 0.706083i 0.0199912 + 0.00316629i 0.166422 0.986055i \(-0.446779\pi\)
−0.146431 + 0.989221i \(0.546779\pi\)
\(224\) −34.4056 + 19.6024i −0.153596 + 0.0875107i
\(225\) 317.018 478.684i 1.40897 2.12748i
\(226\) 43.4076 75.1842i 0.192069 0.332674i
\(227\) 5.54160 2.12722i 0.0244123 0.00937101i −0.346131 0.938186i \(-0.612505\pi\)
0.370543 + 0.928815i \(0.379171\pi\)
\(228\) 337.314 + 219.054i 1.47945 + 0.960764i
\(229\) 119.631 107.716i 0.522405 0.470375i −0.365234 0.930916i \(-0.619011\pi\)
0.887639 + 0.460540i \(0.152344\pi\)
\(230\) 45.0323 149.553i 0.195793 0.650233i
\(231\) 42.3883 + 9.26381i 0.183499 + 0.0401031i
\(232\) 12.1685 12.1685i 0.0524505 0.0524505i
\(233\) 30.4728 + 46.9239i 0.130784 + 0.201390i 0.897996 0.440004i \(-0.145023\pi\)
−0.767211 + 0.641394i \(0.778356\pi\)
\(234\) 715.716 + 75.2248i 3.05862 + 0.321473i
\(235\) −45.1449 + 72.9316i −0.192106 + 0.310347i
\(236\) 10.4227 + 99.1650i 0.0441638 + 0.420191i
\(237\) −162.557 + 25.7464i −0.685893 + 0.108635i
\(238\) 23.7633 + 155.802i 0.0998458 + 0.654630i
\(239\) 158.802 + 218.573i 0.664445 + 0.914530i 0.999618 0.0276262i \(-0.00879480\pi\)
−0.335173 + 0.942157i \(0.608795\pi\)
\(240\) 69.2392 89.3990i 0.288497 0.372496i
\(241\) −29.4891 + 280.570i −0.122361 + 1.16419i 0.745193 + 0.666849i \(0.232357\pi\)
−0.867554 + 0.497342i \(0.834309\pi\)
\(242\) −8.86676 169.188i −0.0366395 0.699123i
\(243\) −622.789 + 166.876i −2.56292 + 0.686732i
\(244\) −86.7550 + 28.1884i −0.355553 + 0.115526i
\(245\) 213.419 + 120.322i 0.871098 + 0.491109i
\(246\) −17.4991 + 53.8566i −0.0711344 + 0.218929i
\(247\) −787.060 41.2481i −3.18648 0.166996i
\(248\) −22.5259 58.6820i −0.0908303 0.236621i
\(249\) −92.4962 + 53.4027i −0.371471 + 0.214469i
\(250\) 144.322 + 102.084i 0.577289 + 0.408335i
\(251\) −334.908 −1.33429 −0.667147 0.744926i \(-0.732485\pi\)
−0.667147 + 0.744926i \(0.732485\pi\)
\(252\) −52.1134 + 317.268i −0.206799 + 1.25900i
\(253\) −21.5763 + 10.9937i −0.0852818 + 0.0434532i
\(254\) 169.375 152.506i 0.666831 0.600418i
\(255\) −233.425 384.788i −0.915391 1.50897i
\(256\) 10.7061 11.8903i 0.0418207 0.0464466i
\(257\) −70.3140 262.415i −0.273595 1.02107i −0.956777 0.290823i \(-0.906071\pi\)
0.683182 0.730248i \(-0.260596\pi\)
\(258\) −67.2123 + 131.912i −0.260513 + 0.511285i
\(259\) −157.269 358.745i −0.607218 1.38512i
\(260\) −29.9097 + 219.553i −0.115037 + 0.844435i
\(261\) −14.6057 138.964i −0.0559604 0.532427i
\(262\) −71.6765 88.5131i −0.273574 0.337836i
\(263\) −289.350 + 234.311i −1.10019 + 0.890916i −0.994630 0.103497i \(-0.966997\pi\)
−0.105560 + 0.994413i \(0.533663\pi\)
\(264\) −17.4357 + 1.83256i −0.0660443 + 0.00694153i
\(265\) 294.475 158.177i 1.11123 0.596893i
\(266\) 38.8097 349.969i 0.145901 1.31567i
\(267\) 73.9281 + 37.6682i 0.276884 + 0.141080i
\(268\) −52.3193 + 14.0189i −0.195221 + 0.0523093i
\(269\) 9.25590 + 8.33405i 0.0344085 + 0.0309816i 0.686156 0.727455i \(-0.259297\pi\)
−0.651747 + 0.758436i \(0.725964\pi\)
\(270\) −127.896 543.480i −0.473689 2.01289i
\(271\) −35.7978 39.7575i −0.132095 0.146707i 0.673468 0.739216i \(-0.264804\pi\)
−0.805563 + 0.592510i \(0.798137\pi\)
\(272\) −28.9108 56.7406i −0.106290 0.208605i
\(273\) −309.578 820.484i −1.13399 3.00544i
\(274\) 137.002i 0.500008i
\(275\) −4.04392 27.1081i −0.0147052 0.0985748i
\(276\) −124.882 216.302i −0.452471 0.783703i
\(277\) 255.071 97.9126i 0.920834 0.353475i 0.148662 0.988888i \(-0.452503\pi\)
0.772173 + 0.635413i \(0.219170\pi\)
\(278\) −17.1680 + 327.585i −0.0617554 + 1.17836i
\(279\) −485.393 157.714i −1.73976 0.565282i
\(280\) −97.1478 19.0343i −0.346956 0.0679796i
\(281\) 166.928 + 513.751i 0.594050 + 1.82830i 0.559401 + 0.828897i \(0.311031\pi\)
0.0346491 + 0.999400i \(0.488969\pi\)
\(282\) 35.5006 + 132.490i 0.125889 + 0.469823i
\(283\) −253.556 + 13.2883i −0.895958 + 0.0469552i −0.494754 0.869033i \(-0.664742\pi\)
−0.401205 + 0.915988i \(0.631408\pi\)
\(284\) 9.64502 + 1.01373i 0.0339613 + 0.00356948i
\(285\) 281.240 + 965.370i 0.986806 + 3.38726i
\(286\) 27.7935 20.1932i 0.0971801 0.0706055i
\(287\) 49.0095 7.47505i 0.170765 0.0260455i
\(288\) −20.3229 128.314i −0.0705657 0.445534i
\(289\) 35.3471 3.71513i 0.122308 0.0128551i
\(290\) 42.9043 3.18258i 0.147946 0.0109744i
\(291\) −51.0731 + 485.928i −0.175509 + 1.66985i
\(292\) −162.678 + 105.645i −0.557118 + 0.361796i
\(293\) 234.986 + 234.986i 0.802000 + 0.802000i 0.983408 0.181408i \(-0.0580655\pi\)
−0.181408 + 0.983408i \(0.558065\pi\)
\(294\) 373.975 116.796i 1.27203 0.397267i
\(295\) −142.115 + 204.800i −0.481746 + 0.694236i
\(296\) 105.905 + 117.619i 0.357786 + 0.397362i
\(297\) −47.1465 + 72.5993i −0.158743 + 0.244442i
\(298\) −70.6666 184.093i −0.237136 0.617761i
\(299\) 423.859 + 244.715i 1.41759 + 0.818445i
\(300\) 277.031 56.2855i 0.923436 0.187618i
\(301\) 129.609 + 0.741836i 0.430596 + 0.00246457i
\(302\) −3.92515 + 24.7824i −0.0129972 + 0.0820609i
\(303\) 39.0036 744.233i 0.128725 2.45621i
\(304\) 29.5808 + 139.167i 0.0973053 + 0.457785i
\(305\) −210.295 88.2172i −0.689493 0.289237i
\(306\) −505.768 107.504i −1.65284 0.351321i
\(307\) 23.3717 23.3717i 0.0761295 0.0761295i −0.668017 0.744146i \(-0.732857\pi\)
0.744146 + 0.668017i \(0.232857\pi\)
\(308\) 8.28558 + 12.9200i 0.0269012 + 0.0419480i
\(309\) 33.7166 46.4069i 0.109115 0.150184i
\(310\) 53.1208 147.892i 0.171357 0.477070i
\(311\) 297.384 + 132.404i 0.956219 + 0.425736i 0.824696 0.565577i \(-0.191346\pi\)
0.131524 + 0.991313i \(0.458013\pi\)
\(312\) 222.993 + 275.373i 0.714721 + 0.882607i
\(313\) 21.3962 + 8.21322i 0.0683584 + 0.0262403i 0.392307 0.919834i \(-0.371677\pi\)
−0.323949 + 0.946075i \(0.605010\pi\)
\(314\) 118.938 + 163.705i 0.378785 + 0.521353i
\(315\) −616.516 + 515.751i −1.95719 + 1.63730i
\(316\) −47.1010 34.2209i −0.149054 0.108294i
\(317\) 68.7891 44.6721i 0.217000 0.140922i −0.431562 0.902083i \(-0.642037\pi\)
0.648562 + 0.761162i \(0.275371\pi\)
\(318\) 138.350 516.329i 0.435063 1.62368i
\(319\) −4.95700 4.46331i −0.0155392 0.0139916i
\(320\) 39.6809 5.04266i 0.124003 0.0157583i
\(321\) −97.8507 + 301.154i −0.304831 + 0.938173i
\(322\) −120.139 + 182.700i −0.373102 + 0.567391i
\(323\) 559.299 + 88.5843i 1.73158 + 0.274255i
\(324\) −415.225 239.730i −1.28156 0.739909i
\(325\) −414.984 + 366.949i −1.27687 + 1.12907i
\(326\) −68.6616 118.925i −0.210618 0.364802i
\(327\) 375.948 + 304.437i 1.14969 + 0.930999i
\(328\) −17.8485 + 9.09426i −0.0544161 + 0.0277264i
\(329\) 89.6974 79.8390i 0.272636 0.242672i
\(330\) −36.0089 24.9874i −0.109118 0.0757194i
\(331\) −261.438 55.5705i −0.789844 0.167887i −0.204710 0.978823i \(-0.565625\pi\)
−0.585135 + 0.810936i \(0.698958\pi\)
\(332\) −36.4943 9.77862i −0.109923 0.0294537i
\(333\) 1283.34 67.2572i 3.85388 0.201973i
\(334\) −159.137 357.427i −0.476457 1.07014i
\(335\) −121.958 58.8455i −0.364053 0.175658i
\(336\) −128.603 + 92.3159i −0.382748 + 0.274750i
\(337\) −338.822 + 53.6641i −1.00541 + 0.159241i −0.637359 0.770567i \(-0.719973\pi\)
−0.368046 + 0.929807i \(0.619973\pi\)
\(338\) −425.107 163.183i −1.25771 0.482790i
\(339\) 141.168 317.069i 0.416425 0.935305i
\(340\) 37.8611 154.636i 0.111356 0.454812i
\(341\) −22.2575 + 9.90968i −0.0652713 + 0.0290606i
\(342\) 1029.31 + 524.459i 3.00968 + 1.53351i
\(343\) −238.338 246.666i −0.694862 0.719143i
\(344\) −49.8077 + 16.1835i −0.144790 + 0.0470451i
\(345\) 116.549 613.436i 0.337824 1.77808i
\(346\) −283.626 + 60.2865i −0.819728 + 0.174239i
\(347\) 343.576 529.061i 0.990133 1.52467i 0.145477 0.989362i \(-0.453528\pi\)
0.844656 0.535310i \(-0.179805\pi\)
\(348\) 43.2964 53.4665i 0.124415 0.153639i
\(349\) 648.089i 1.85699i 0.371347 + 0.928494i \(0.378896\pi\)
−0.371347 + 0.928494i \(0.621104\pi\)
\(350\) −152.901 194.605i −0.436861 0.556015i
\(351\) 1749.59 4.98458
\(352\) −4.81965 3.90288i −0.0136922 0.0110877i
\(353\) −126.446 82.1152i −0.358205 0.232621i 0.352972 0.935634i \(-0.385171\pi\)
−0.711177 + 0.703013i \(0.751838\pi\)
\(354\) 82.8800 + 389.920i 0.234124 + 1.10147i
\(355\) 16.6102 + 17.6618i 0.0467892 + 0.0497517i
\(356\) 9.06983 + 27.9141i 0.0254771 + 0.0784103i
\(357\) 159.590 + 609.530i 0.447030 + 1.70737i
\(358\) 109.639 215.179i 0.306254 0.601058i
\(359\) −112.357 252.357i −0.312971 0.702945i 0.686742 0.726901i \(-0.259040\pi\)
−0.999713 + 0.0239566i \(0.992374\pi\)
\(360\) 170.942 276.157i 0.474840 0.767104i
\(361\) −825.983 367.751i −2.28804 1.01870i
\(362\) −31.6606 + 82.4787i −0.0874603 + 0.227842i
\(363\) −105.956 668.978i −0.291889 1.84291i
\(364\) 127.795 282.667i 0.351086 0.776558i
\(365\) −480.491 65.4574i −1.31641 0.179335i
\(366\) −333.154 + 148.330i −0.910257 + 0.405273i
\(367\) 16.0885 + 306.988i 0.0438380 + 0.836479i 0.928747 + 0.370715i \(0.120887\pi\)
−0.884909 + 0.465764i \(0.845779\pi\)
\(368\) 22.8673 85.3418i 0.0621393 0.231907i
\(369\) −33.8169 + 159.096i −0.0916446 + 0.431154i
\(370\) 8.57886 + 395.587i 0.0231861 + 1.06916i
\(371\) −458.299 + 94.6762i −1.23531 + 0.255192i
\(372\) −114.085 223.904i −0.306679 0.601891i
\(373\) 233.434 288.268i 0.625830 0.772835i −0.361353 0.932429i \(-0.617685\pi\)
0.987183 + 0.159594i \(0.0510185\pi\)
\(374\) −21.3765 + 12.3417i −0.0571564 + 0.0329993i
\(375\) 616.478 + 345.569i 1.64394 + 0.921518i
\(376\) −24.2604 + 42.0203i −0.0645224 + 0.111756i
\(377\) −21.0898 + 133.156i −0.0559412 + 0.353199i
\(378\) −45.3758 + 780.339i −0.120042 + 2.06439i
\(379\) −431.836 140.312i −1.13941 0.370216i −0.322264 0.946650i \(-0.604444\pi\)
−0.817144 + 0.576434i \(0.804444\pi\)
\(380\) −171.124 + 311.820i −0.450327 + 0.820578i
\(381\) 609.697 677.137i 1.60025 1.77726i
\(382\) −286.465 76.7581i −0.749909 0.200937i
\(383\) −244.456 376.429i −0.638266 0.982844i −0.998745 0.0500766i \(-0.984053\pi\)
0.360479 0.932767i \(-0.382613\pi\)
\(384\) 37.5981 51.7493i 0.0979116 0.134764i
\(385\) −5.39700 + 37.9898i −0.0140182 + 0.0986748i
\(386\) −10.0832 + 7.32589i −0.0261223 + 0.0189790i
\(387\) −152.389 + 396.987i −0.393770 + 1.02581i
\(388\) −134.322 + 108.772i −0.346191 + 0.280340i
\(389\) −267.760 + 601.398i −0.688328 + 1.54601i 0.142692 + 0.989767i \(0.454424\pi\)
−0.831020 + 0.556243i \(0.812242\pi\)
\(390\) −27.1708 + 885.432i −0.0696687 + 2.27034i
\(391\) −284.491 206.695i −0.727599 0.528631i
\(392\) 122.759 + 64.3293i 0.313160 + 0.164105i
\(393\) −321.971 321.971i −0.819265 0.819265i
\(394\) 57.8745 272.278i 0.146890 0.691061i
\(395\) −33.3412 141.680i −0.0844082 0.358684i
\(396\) −49.2551 + 10.4695i −0.124382 + 0.0264381i
\(397\) 55.4694 + 2.90703i 0.139721 + 0.00732249i 0.122068 0.992522i \(-0.461047\pi\)
0.0176530 + 0.999844i \(0.494381\pi\)
\(398\) 389.975 + 61.7659i 0.979836 + 0.155191i
\(399\) 8.05704 1407.68i 0.0201931 3.52802i
\(400\) 83.3738 + 55.2160i 0.208435 + 0.138040i
\(401\) −88.2764 + 152.899i −0.220141 + 0.381295i −0.954851 0.297087i \(-0.903985\pi\)
0.734710 + 0.678381i \(0.237318\pi\)
\(402\) −202.161 + 77.6022i −0.502887 + 0.193040i
\(403\) 412.983 + 268.194i 1.02477 + 0.665495i
\(404\) 195.914 176.402i 0.484936 0.436639i
\(405\) −395.033 1131.69i −0.975391 2.79429i
\(406\) −58.8423 12.8597i −0.144932 0.0316742i
\(407\) 43.3793 43.3793i 0.106583 0.106583i
\(408\) −138.659 213.516i −0.339851 0.523325i
\(409\) 66.7984 + 7.02079i 0.163321 + 0.0171657i 0.185836 0.982581i \(-0.440501\pi\)
−0.0225149 + 0.999747i \(0.507167\pi\)
\(410\) −48.6428 11.9097i −0.118641 0.0290481i
\(411\) −57.2517 544.714i −0.139299 1.32534i
\(412\) 20.0416 3.17428i 0.0486447 0.00770456i
\(413\) 272.468 218.070i 0.659729 0.528015i
\(414\) −421.668 580.376i −1.01852 1.40187i
\(415\) −53.1489 78.0820i −0.128070 0.188149i
\(416\) −13.1021 + 124.659i −0.0314955 + 0.299660i
\(417\) 68.6351 + 1309.64i 0.164593 + 3.14061i
\(418\) 53.2682 14.2732i 0.127436 0.0341463i
\(419\) −43.7279 + 14.2081i −0.104363 + 0.0339095i −0.360733 0.932669i \(-0.617473\pi\)
0.256370 + 0.966579i \(0.417473\pi\)
\(420\) −394.209 35.0823i −0.938593 0.0835294i
\(421\) −111.513 + 343.201i −0.264876 + 0.815205i 0.726846 + 0.686801i \(0.240985\pi\)
−0.991722 + 0.128404i \(0.959015\pi\)
\(422\) −535.308 28.0543i −1.26850 0.0664794i
\(423\) 141.186 + 367.802i 0.333773 + 0.869507i
\(424\) 163.758 94.5455i 0.386221 0.222985i
\(425\) 324.087 231.039i 0.762558 0.543620i
\(426\) 38.7718 0.0910136
\(427\) 246.964 + 202.339i 0.578371 + 0.473862i
\(428\) −99.8046 + 50.8530i −0.233188 + 0.118815i
\(429\) 102.067 91.9016i 0.237919 0.214223i
\(430\) −120.735 50.6472i −0.280778 0.117784i
\(431\) 216.874 240.863i 0.503189 0.558848i −0.437017 0.899453i \(-0.643965\pi\)
0.940206 + 0.340605i \(0.110632\pi\)
\(432\) −81.7447 305.075i −0.189224 0.706193i
\(433\) 50.7726 99.6468i 0.117258 0.230131i −0.824917 0.565254i \(-0.808778\pi\)
0.942174 + 0.335123i \(0.108778\pi\)
\(434\) −130.329 + 177.240i −0.300297 + 0.408388i
\(435\) 169.256 30.5830i 0.389093 0.0703058i
\(436\) 17.8874 + 170.187i 0.0410262 + 0.390338i
\(437\) 494.425 + 610.565i 1.13141 + 1.39717i
\(438\) −602.653 + 488.019i −1.37592 + 1.11420i
\(439\) 288.975 30.3724i 0.658256 0.0691855i 0.230490 0.973075i \(-0.425967\pi\)
0.427767 + 0.903889i \(0.359301\pi\)
\(440\) −2.75686 15.2573i −0.00626558 0.0346756i
\(441\) 1033.20 445.910i 2.34286 1.01113i
\(442\) 444.510 + 226.489i 1.00568 + 0.512419i
\(443\) 324.334 86.9050i 0.732131 0.196174i 0.126553 0.991960i \(-0.459609\pi\)
0.605578 + 0.795786i \(0.292942\pi\)
\(444\) 470.224 + 423.392i 1.05906 + 0.953585i
\(445\) −28.3845 + 67.6641i −0.0637855 + 0.152054i
\(446\) 4.27120 + 4.74364i 0.00957667 + 0.0106360i
\(447\) −357.898 702.414i −0.800666 1.57140i
\(448\) −55.2595 9.07676i −0.123347 0.0202606i
\(449\) 161.430i 0.359532i 0.983709 + 0.179766i \(0.0575341\pi\)
−0.983709 + 0.179766i \(0.942466\pi\)
\(450\) 774.444 243.954i 1.72099 0.542119i
\(451\) 3.88225 + 6.72426i 0.00860809 + 0.0149097i
\(452\) 114.621 43.9988i 0.253586 0.0973424i
\(453\) −5.24989 + 100.174i −0.0115892 + 0.221134i
\(454\) 7.98370 + 2.59406i 0.0175853 + 0.00571379i
\(455\) 703.361 326.704i 1.54585 0.718031i
\(456\) 175.768 + 540.959i 0.385457 + 1.18631i
\(457\) −103.504 386.284i −0.226487 0.845260i −0.981803 0.189900i \(-0.939184\pi\)
0.755317 0.655360i \(-0.227483\pi\)
\(458\) 227.347 11.9147i 0.496390 0.0260147i
\(459\) −1250.17 131.399i −2.72369 0.286272i
\(460\) 182.594 124.288i 0.396944 0.270192i
\(461\) −59.3700 + 43.1348i −0.128785 + 0.0935680i −0.650313 0.759666i \(-0.725362\pi\)
0.521528 + 0.853234i \(0.325362\pi\)
\(462\) 38.3422 + 47.9067i 0.0829918 + 0.103694i
\(463\) −38.3481 242.120i −0.0828252 0.522938i −0.993863 0.110616i \(-0.964718\pi\)
0.911038 0.412322i \(-0.135282\pi\)
\(464\) 24.2037 2.54391i 0.0521632 0.00548257i
\(465\) 149.403 610.208i 0.321298 1.31228i
\(466\) −8.27089 + 78.6923i −0.0177487 + 0.168868i
\(467\) 399.925 259.714i 0.856370 0.556133i −0.0401210 0.999195i \(-0.512774\pi\)
0.896491 + 0.443062i \(0.146108\pi\)
\(468\) 719.658 + 719.658i 1.53773 + 1.53773i
\(469\) 140.155 + 127.656i 0.298838 + 0.272188i
\(470\) −114.525 + 39.9768i −0.243671 + 0.0850571i
\(471\) 541.304 + 601.179i 1.14927 + 1.27639i
\(472\) −76.8012 + 118.263i −0.162714 + 0.250558i
\(473\) 7.27466 + 18.9511i 0.0153798 + 0.0400658i
\(474\) −201.572 116.378i −0.425257 0.245522i
\(475\) −832.994 + 311.190i −1.75367 + 0.655137i
\(476\) −112.546 + 192.383i −0.236440 + 0.404166i
\(477\) 240.180 1516.44i 0.503522 3.17911i
\(478\) −19.9965 + 381.556i −0.0418336 + 0.798233i
\(479\) −17.3665 81.7029i −0.0362557 0.170570i 0.956295 0.292405i \(-0.0944554\pi\)
−0.992550 + 0.121835i \(0.961122\pi\)
\(480\) 155.662 36.6316i 0.324296 0.0763158i
\(481\) −1212.82 257.793i −2.52146 0.535952i
\(482\) −282.116 + 282.116i −0.585302 + 0.585302i
\(483\) −401.318 + 776.610i −0.830886 + 1.60789i
\(484\) 140.831 193.837i 0.290973 0.400490i
\(485\) −431.898 13.2534i −0.890511 0.0273267i
\(486\) −832.995 370.873i −1.71398 0.763114i
\(487\) −158.893 196.216i −0.326269 0.402908i 0.587447 0.809263i \(-0.300133\pi\)
−0.913715 + 0.406355i \(0.866800\pi\)
\(488\) −120.436 46.2309i −0.246794 0.0947355i
\(489\) −322.693 444.149i −0.659904 0.908279i
\(490\) 127.473 + 322.181i 0.260148 + 0.657513i
\(491\) 320.697 + 233.000i 0.653151 + 0.474542i 0.864343 0.502902i \(-0.167734\pi\)
−0.211192 + 0.977445i \(0.567734\pi\)
\(492\) −67.1643 + 43.6170i −0.136513 + 0.0886525i
\(493\) 25.0702 93.5631i 0.0508523 0.189783i
\(494\) −828.309 745.812i −1.67674 1.50974i
\(495\) −110.362 60.5658i −0.222953 0.122355i
\(496\) 27.4695 84.5424i 0.0553821 0.170448i
\(497\) −15.2367 30.3316i −0.0306573 0.0610294i
\(498\) −149.186 23.6287i −0.299570 0.0474473i
\(499\) 263.485 + 152.123i 0.528026 + 0.304856i 0.740212 0.672373i \(-0.234725\pi\)
−0.212186 + 0.977229i \(0.568058\pi\)
\(500\) 67.7636 + 240.641i 0.135527 + 0.481282i
\(501\) −782.084 1354.61i −1.56105 2.70381i
\(502\) −368.081 298.066i −0.733229 0.593757i
\(503\) 832.278 424.067i 1.65463 0.843075i 0.658752 0.752361i \(-0.271085\pi\)
0.995877 0.0907148i \(-0.0289152\pi\)
\(504\) −339.641 + 302.313i −0.673892 + 0.599826i
\(505\) 658.917 14.2895i 1.30479 0.0282961i
\(506\) −33.4977 7.12016i −0.0662010 0.0140715i
\(507\) −1758.40 471.161i −3.46824 0.929311i
\(508\) 321.881 16.8691i 0.633625 0.0332069i
\(509\) 12.8228 + 28.8005i 0.0251921 + 0.0565824i 0.925703 0.378250i \(-0.123474\pi\)
−0.900511 + 0.434833i \(0.856807\pi\)
\(510\) 85.9132 630.648i 0.168457 1.23656i
\(511\) 618.616 + 279.679i 1.21060 + 0.547317i
\(512\) 22.3488 3.53971i 0.0436501 0.00691349i
\(513\) 2621.96 + 1006.48i 5.11103 + 1.96194i
\(514\) 156.269 350.987i 0.304026 0.682853i
\(515\) 43.1336 + 26.6999i 0.0837546 + 0.0518444i
\(516\) −191.270 + 85.1590i −0.370679 + 0.165037i
\(517\) 16.7572 + 8.53823i 0.0324124 + 0.0165149i
\(518\) 146.434 534.248i 0.282690 1.03137i
\(519\) −1102.49 + 358.221i −2.12426 + 0.690213i
\(520\) −228.273 + 214.680i −0.438987 + 0.412847i
\(521\) −115.297 + 24.5072i −0.221300 + 0.0470388i −0.317227 0.948350i \(-0.602752\pi\)
0.0959271 + 0.995388i \(0.469418\pi\)
\(522\) 107.624 165.727i 0.206177 0.317484i
\(523\) 169.094 208.814i 0.323316 0.399262i −0.589410 0.807834i \(-0.700640\pi\)
0.912726 + 0.408572i \(0.133973\pi\)
\(524\) 161.072i 0.307389i
\(525\) −689.252 709.845i −1.31286 1.35209i
\(526\) −526.545 −1.00104
\(527\) −274.957 222.655i −0.521739 0.422496i
\(528\) −20.7937 13.5036i −0.0393820 0.0255749i
\(529\) 8.54868 + 40.2184i 0.0161601 + 0.0760272i
\(530\) 464.419 + 88.2371i 0.876263 + 0.166485i
\(531\) 353.814 + 1088.93i 0.666317 + 2.05071i
\(532\) 354.124 350.094i 0.665647 0.658071i
\(533\) 71.2451 139.826i 0.133668 0.262338i
\(534\) 47.7262 + 107.195i 0.0893749 + 0.200739i
\(535\) −271.999 66.5963i −0.508410 0.124479i
\(536\) −69.9782 31.1563i −0.130556 0.0581275i
\(537\) 345.999 901.357i 0.644318 1.67851i
\(538\) 2.75545 + 17.3972i 0.00512165 + 0.0323368i
\(539\) 22.4101 48.8221i 0.0415772 0.0905791i
\(540\) 343.130 711.139i 0.635426 1.31692i
\(541\) −241.452 + 107.501i −0.446307 + 0.198709i −0.617569 0.786517i \(-0.711882\pi\)
0.171262 + 0.985226i \(0.445216\pi\)
\(542\) −3.95968 75.5552i −0.00730569 0.139401i
\(543\) −91.4141 + 341.162i −0.168350 + 0.628291i
\(544\) 18.7244 88.0912i 0.0344198 0.161932i
\(545\) −243.899 + 351.478i −0.447520 + 0.644914i
\(546\) 389.984 1177.28i 0.714256 2.15618i
\(547\) −76.5893 150.315i −0.140017 0.274799i 0.810340 0.585960i \(-0.199282\pi\)
−0.950357 + 0.311161i \(0.899282\pi\)
\(548\) 121.931 150.572i 0.222502 0.274767i
\(549\) −907.126 + 523.730i −1.65232 + 0.953970i
\(550\) 19.6815 33.3922i 0.0357846 0.0607131i
\(551\) −108.205 + 187.417i −0.196380 + 0.340140i
\(552\) 55.2557 348.871i 0.100101 0.632012i
\(553\) −11.8290 + 203.427i −0.0213906 + 0.367860i
\(554\) 367.478 + 119.401i 0.663317 + 0.215525i
\(555\) 199.421 + 1569.25i 0.359317 + 2.82748i
\(556\) −310.417 + 344.753i −0.558303 + 0.620059i
\(557\) 839.880 + 225.045i 1.50786 + 0.404031i 0.915725 0.401805i \(-0.131617\pi\)
0.592139 + 0.805836i \(0.298284\pi\)
\(558\) −393.107 605.332i −0.704493 1.08482i
\(559\) 241.155 331.922i 0.431405 0.593778i
\(560\) −89.8300 107.381i −0.160411 0.191751i
\(561\) −79.8345 + 58.0032i −0.142307 + 0.103392i
\(562\) −273.773 + 713.204i −0.487141 + 1.26905i
\(563\) 347.975 281.784i 0.618072 0.500505i −0.268387 0.963311i \(-0.586491\pi\)
0.886460 + 0.462806i \(0.153157\pi\)
\(564\) −78.8984 + 177.209i −0.139891 + 0.314200i
\(565\) 288.869 + 103.758i 0.511273 + 0.183643i
\(566\) −290.498 211.059i −0.513246 0.372895i
\(567\) 78.2326 + 1676.29i 0.137976 + 2.95642i
\(568\) 9.69815 + 9.69815i 0.0170742 + 0.0170742i
\(569\) −6.32564 + 29.7598i −0.0111171 + 0.0523020i −0.983357 0.181686i \(-0.941844\pi\)
0.972239 + 0.233988i \(0.0751778\pi\)
\(570\) −550.076 + 1311.29i −0.965046 + 2.30051i
\(571\) 850.321 180.741i 1.48918 0.316535i 0.609760 0.792586i \(-0.291266\pi\)
0.879418 + 0.476051i \(0.157932\pi\)
\(572\) 48.5182 + 2.54273i 0.0848221 + 0.00444534i
\(573\) −1171.05 185.476i −2.04371 0.323693i
\(574\) 60.5166 + 35.4026i 0.105430 + 0.0616771i
\(575\) 548.636 + 62.6577i 0.954149 + 0.108970i
\(576\) 91.8626 159.111i 0.159484 0.276234i
\(577\) −69.2104 + 26.5674i −0.119949 + 0.0460440i −0.417602 0.908630i \(-0.637129\pi\)
0.297653 + 0.954674i \(0.403796\pi\)
\(578\) 42.1547 + 27.3756i 0.0729320 + 0.0473626i
\(579\) −37.0290 + 33.3410i −0.0639533 + 0.0575839i
\(580\) 49.9865 + 34.6868i 0.0861836 + 0.0598048i
\(581\) 40.1427 + 125.996i 0.0690924 + 0.216860i
\(582\) −488.604 + 488.604i −0.839526 + 0.839526i
\(583\) −39.9183 61.4689i −0.0684706 0.105435i
\(584\) −272.815 28.6740i −0.467148 0.0490993i
\(585\) 188.221 + 2537.41i 0.321745 + 4.33745i
\(586\) 49.1254 + 467.397i 0.0838318 + 0.797606i
\(587\) 245.233 38.8411i 0.417774 0.0661688i 0.0559909 0.998431i \(-0.482168\pi\)
0.361783 + 0.932262i \(0.382168\pi\)
\(588\) 514.966 + 204.471i 0.875792 + 0.347739i
\(589\) 464.620 + 639.495i 0.788829 + 1.08573i
\(590\) −338.462 + 98.6036i −0.573664 + 0.167125i
\(591\) 116.324 1106.75i 0.196826 1.87267i
\(592\) 11.7144 + 223.524i 0.0197878 + 0.377574i
\(593\) −749.830 + 200.916i −1.26447 + 0.338814i −0.827910 0.560862i \(-0.810470\pi\)
−0.436560 + 0.899675i \(0.643803\pi\)
\(594\) −116.429 + 37.8302i −0.196009 + 0.0636872i
\(595\) −527.126 + 180.624i −0.885925 + 0.303569i
\(596\) 86.1753 265.220i 0.144589 0.445000i
\(597\) 1576.33 + 82.6121i 2.64042 + 0.138379i
\(598\) 248.047 + 646.186i 0.414795 + 1.08058i
\(599\) −488.817 + 282.219i −0.816056 + 0.471150i −0.849054 0.528305i \(-0.822828\pi\)
0.0329988 + 0.999455i \(0.489494\pi\)
\(600\) 354.565 + 184.695i 0.590941 + 0.307825i
\(601\) 858.406 1.42830 0.714148 0.699995i \(-0.246814\pi\)
0.714148 + 0.699995i \(0.246814\pi\)
\(602\) 141.787 + 116.167i 0.235527 + 0.192968i
\(603\) −554.176 + 282.367i −0.919031 + 0.468270i
\(604\) −26.3701 + 23.7437i −0.0436591 + 0.0393108i
\(605\) 583.063 137.211i 0.963741 0.226795i
\(606\) 705.230 783.237i 1.16375 1.29247i
\(607\) 279.718 + 1043.92i 0.460821 + 1.71981i 0.670387 + 0.742012i \(0.266128\pi\)
−0.209566 + 0.977795i \(0.567205\pi\)
\(608\) −91.3467 + 179.278i −0.150241 + 0.294865i
\(609\) −239.328 26.5402i −0.392985 0.0435799i
\(610\) −152.612 284.117i −0.250184 0.465765i
\(611\) −39.7329 378.033i −0.0650293 0.618712i
\(612\) −460.186 568.283i −0.751939 0.928567i
\(613\) −234.626 + 189.997i −0.382751 + 0.309945i −0.801316 0.598241i \(-0.795866\pi\)
0.418565 + 0.908187i \(0.362533\pi\)
\(614\) 46.4874 4.88603i 0.0757124 0.00795770i
\(615\) −198.378 27.0251i −0.322566 0.0439433i
\(616\) −2.39242 + 21.5738i −0.00388380 + 0.0350224i
\(617\) −566.304 288.546i −0.917834 0.467660i −0.0697760 0.997563i \(-0.522228\pi\)
−0.848058 + 0.529903i \(0.822228\pi\)
\(618\) 78.3580 20.9960i 0.126793 0.0339741i
\(619\) 318.860 + 287.103i 0.515121 + 0.463817i 0.885218 0.465176i \(-0.154009\pi\)
−0.370097 + 0.928993i \(0.620676\pi\)
\(620\) 190.005 115.263i 0.306460 0.185908i
\(621\) −1167.00 1296.09i −1.87923 2.08710i
\(622\) 209.002 + 410.189i 0.336015 + 0.659467i
\(623\) 65.1041 79.4626i 0.104501 0.127548i
\(624\) 501.112i 0.803063i
\(625\) −264.439 + 566.301i −0.423103 + 0.906082i
\(626\) 16.2058 + 28.0692i 0.0258878 + 0.0448390i
\(627\) 205.827 79.0096i 0.328273 0.126012i
\(628\) −14.9768 + 285.774i −0.0238484 + 0.455054i
\(629\) 847.264 + 275.293i 1.34700 + 0.437668i
\(630\) −1136.60 + 18.1410i −1.80412 + 0.0287952i
\(631\) −276.633 851.389i −0.438404 1.34927i −0.889558 0.456823i \(-0.848987\pi\)
0.451154 0.892446i \(-0.351013\pi\)
\(632\) −21.3100 79.5301i −0.0337184 0.125839i
\(633\) −2140.08 + 112.157i −3.38086 + 0.177183i
\(634\) 115.361 + 12.1249i 0.181957 + 0.0191244i
\(635\) 637.078 + 493.414i 1.00327 + 0.777031i
\(636\) 611.583 444.341i 0.961608 0.698649i
\(637\) −1074.25 + 157.562i −1.68643 + 0.247350i
\(638\) −1.47568 9.31710i −0.00231298 0.0146036i
\(639\) 110.752 11.6405i 0.173321 0.0182168i
\(640\) 48.0992 + 29.7736i 0.0751550 + 0.0465212i
\(641\) −92.0839 + 876.119i −0.143657 + 1.36680i 0.650693 + 0.759341i \(0.274478\pi\)
−0.794350 + 0.607460i \(0.792188\pi\)
\(642\) −375.568 + 243.896i −0.584996 + 0.379901i
\(643\) 292.987 + 292.987i 0.455657 + 0.455657i 0.897227 0.441570i \(-0.145578\pi\)
−0.441570 + 0.897227i \(0.645578\pi\)
\(644\) −294.640 + 93.8734i −0.457516 + 0.145766i
\(645\) −501.200 150.917i −0.777054 0.233980i
\(646\) 535.859 + 595.131i 0.829502 + 0.921256i
\(647\) 41.5075 63.9160i 0.0641538 0.0987882i −0.805138 0.593088i \(-0.797909\pi\)
0.869292 + 0.494300i \(0.164575\pi\)
\(648\) −242.995 633.024i −0.374992 0.976888i
\(649\) 47.3350 + 27.3289i 0.0729353 + 0.0421092i
\(650\) −782.671 + 33.9626i −1.20411 + 0.0522501i
\(651\) −444.115 + 759.162i −0.682204 + 1.16615i
\(652\) 30.3802 191.813i 0.0465955 0.294192i
\(653\) 35.9443 685.858i 0.0550449 1.05032i −0.821871 0.569674i \(-0.807069\pi\)
0.876915 0.480645i \(-0.159597\pi\)
\(654\) 142.239 + 669.182i 0.217491 + 1.02321i
\(655\) 262.894 305.021i 0.401365 0.465681i
\(656\) −27.7102 5.88999i −0.0422412 0.00897864i
\(657\) −1574.97 + 1574.97i −2.39721 + 2.39721i
\(658\) 169.638 7.91704i 0.257809 0.0120320i
\(659\) 25.9149 35.6687i 0.0393245 0.0541256i −0.788902 0.614519i \(-0.789350\pi\)
0.828226 + 0.560394i \(0.189350\pi\)
\(660\) −17.3370 59.5101i −0.0262681 0.0901668i
\(661\) −563.693 250.972i −0.852789 0.379686i −0.0666802 0.997774i \(-0.521241\pi\)
−0.786109 + 0.618088i \(0.787907\pi\)
\(662\) −237.877 293.753i −0.359330 0.443736i
\(663\) 1862.00 + 714.754i 2.80844 + 1.07806i
\(664\) −31.4062 43.2269i −0.0472985 0.0651007i
\(665\) 1242.01 84.9855i 1.86768 0.127798i
\(666\) 1470.32 + 1068.25i 2.20768 + 1.60398i
\(667\) 112.709 73.1938i 0.168978 0.109736i
\(668\) 143.208 534.460i 0.214384 0.800091i
\(669\) 18.9644 + 17.0756i 0.0283474 + 0.0255241i
\(670\) −81.6655 173.216i −0.121889 0.258531i
\(671\) −15.4518 + 47.5557i −0.0230280 + 0.0708729i
\(672\) −223.502 12.9964i −0.332593 0.0193399i
\(673\) 145.438 + 23.0351i 0.216104 + 0.0342275i 0.263548 0.964646i \(-0.415107\pi\)
−0.0474436 + 0.998874i \(0.515107\pi\)
\(674\) −420.143 242.569i −0.623357 0.359895i
\(675\) 1810.47 786.640i 2.68218 1.16539i
\(676\) −321.982 557.688i −0.476304 0.824983i
\(677\) −737.014 596.823i −1.08865 0.881569i −0.0951546 0.995463i \(-0.530335\pi\)
−0.993493 + 0.113893i \(0.963668\pi\)
\(678\) 437.340 222.836i 0.645044 0.328666i
\(679\) 574.254 + 190.227i 0.845735 + 0.280158i
\(680\) 179.236 136.257i 0.263583 0.200378i
\(681\) 32.8269 + 6.97756i 0.0482039 + 0.0102461i
\(682\) −33.2817 8.91780i −0.0488001 0.0130759i
\(683\) 619.571 32.4704i 0.907132 0.0475408i 0.406940 0.913455i \(-0.366596\pi\)
0.500192 + 0.865914i \(0.333263\pi\)
\(684\) 664.497 + 1492.49i 0.971487 + 2.18200i
\(685\) 476.657 86.1278i 0.695849 0.125734i
\(686\) −42.4136 483.217i −0.0618275 0.704399i
\(687\) 898.940 142.378i 1.30850 0.207246i
\(688\) −69.1444 26.5421i −0.100501 0.0385786i
\(689\) −602.520 + 1353.28i −0.874485 + 1.96413i
\(690\) 674.048 570.469i 0.976881 0.826767i
\(691\) 477.588 212.636i 0.691154 0.307722i −0.0309352 0.999521i \(-0.509849\pi\)
0.722089 + 0.691800i \(0.243182\pi\)
\(692\) −365.374 186.167i −0.527997 0.269028i
\(693\) 123.908 + 125.335i 0.178800 + 0.180858i
\(694\) 848.468 275.684i 1.22258 0.397239i
\(695\) −1150.52 + 146.209i −1.65543 + 0.210372i
\(696\) 95.1697 20.2290i 0.136738 0.0290646i
\(697\) −61.4098 + 94.5628i −0.0881058 + 0.135671i
\(698\) −576.795 + 712.282i −0.826354 + 1.02046i
\(699\) 316.333i 0.452551i
\(700\) 5.15093 349.962i 0.00735847 0.499946i
\(701\) 1138.78 1.62451 0.812253 0.583305i \(-0.198241\pi\)
0.812253 + 0.583305i \(0.198241\pi\)
\(702\) 1922.89 + 1557.12i 2.73915 + 2.21812i
\(703\) −1669.25 1084.03i −2.37447 1.54200i
\(704\) −1.82350 8.57892i −0.00259021 0.0121860i
\(705\) −438.641 + 206.805i −0.622186 + 0.293340i
\(706\) −65.8889 202.785i −0.0933270 0.287231i
\(707\) −889.879 243.910i −1.25867 0.344993i
\(708\) −255.937 + 502.304i −0.361493 + 0.709469i
\(709\) 399.342 + 896.936i 0.563246 + 1.26507i 0.940762 + 0.339069i \(0.110112\pi\)
−0.377515 + 0.926003i \(0.623221\pi\)
\(710\) 2.53647 + 34.1942i 0.00357250 + 0.0481608i
\(711\) −610.734 271.916i −0.858978 0.382442i
\(712\) −14.8751 + 38.7511i −0.0208920 + 0.0544256i
\(713\) −76.7889 484.826i −0.107698 0.679981i
\(714\) −367.081 + 811.938i −0.514119 + 1.13717i
\(715\) 87.7286 + 84.0043i 0.122697 + 0.117489i
\(716\) 312.007 138.914i 0.435763 0.194014i
\(717\) 79.9430 + 1525.40i 0.111496 + 2.12748i
\(718\) 101.111 377.350i 0.140823 0.525557i
\(719\) −7.46776 + 35.1331i −0.0103863 + 0.0488638i −0.983036 0.183415i \(-0.941285\pi\)
0.972649 + 0.232279i \(0.0746181\pi\)
\(720\) 433.653 151.373i 0.602295 0.210241i
\(721\) −47.2188 53.0493i −0.0654907 0.0735774i
\(722\) −580.500 1139.30i −0.804017 1.57797i
\(723\) −1003.78 + 1239.57i −1.38836 + 1.71448i
\(724\) −108.202 + 62.4705i −0.149450 + 0.0862853i
\(725\) 38.0451 + 147.272i 0.0524760 + 0.203133i
\(726\) 478.935 829.540i 0.659690 1.14262i
\(727\) −10.3540 + 65.3723i −0.0142420 + 0.0899207i −0.993786 0.111312i \(-0.964495\pi\)
0.979543 + 0.201233i \(0.0644947\pi\)
\(728\) 392.025 196.929i 0.538496 0.270507i
\(729\) −1414.96 459.748i −1.94096 0.630655i
\(730\) −469.827 499.575i −0.643599 0.684349i
\(731\) −197.247 + 219.065i −0.269831 + 0.299678i
\(732\) −498.166 133.483i −0.680554 0.182354i
\(733\) 7.65981 + 11.7951i 0.0104499 + 0.0160915i 0.843857 0.536568i \(-0.180280\pi\)
−0.833407 + 0.552660i \(0.813613\pi\)
\(734\) −255.535 + 351.714i −0.348140 + 0.479174i
\(735\) 641.461 + 1227.71i 0.872736 + 1.67035i
\(736\) 101.086 73.4432i 0.137345 0.0997870i
\(737\) −10.6403 + 27.7190i −0.0144373 + 0.0376106i
\(738\) −178.761 + 144.758i −0.242223 + 0.196148i
\(739\) 268.040 602.028i 0.362706 0.814652i −0.636357 0.771394i \(-0.719560\pi\)
0.999064 0.0432578i \(-0.0137737\pi\)
\(740\) −342.642 + 442.406i −0.463029 + 0.597845i
\(741\) −3604.98 2619.17i −4.86502 3.53465i
\(742\) −587.955 303.829i −0.792392 0.409474i
\(743\) 274.329 + 274.329i 0.369217 + 0.369217i 0.867192 0.497974i \(-0.165923\pi\)
−0.497974 + 0.867192i \(0.665923\pi\)
\(744\) 73.8880 347.616i 0.0993119 0.467226i
\(745\) 596.069 361.595i 0.800093 0.485362i
\(746\) 513.112 109.065i 0.687818 0.146200i
\(747\) −433.246 22.7055i −0.579981 0.0303955i
\(748\) −34.4779 5.46077i −0.0460935 0.00730049i
\(749\) 338.395 + 197.963i 0.451796 + 0.264304i
\(750\) 369.986 + 928.459i 0.493315 + 1.23795i
\(751\) −92.3351 + 159.929i −0.122950 + 0.212955i −0.920930 0.389729i \(-0.872569\pi\)
0.797980 + 0.602684i \(0.205902\pi\)
\(752\) −64.0612 + 24.5908i −0.0851877 + 0.0327005i
\(753\) −1588.03 1031.28i −2.10894 1.36956i
\(754\) −141.687 + 127.575i −0.187913 + 0.169198i
\(755\) −88.6903 + 1.92337i −0.117471 + 0.00254751i
\(756\) −744.367 + 817.247i −0.984612 + 1.08102i
\(757\) 470.454 470.454i 0.621471 0.621471i −0.324436 0.945907i \(-0.605175\pi\)
0.945907 + 0.324436i \(0.105175\pi\)
\(758\) −349.732 538.541i −0.461388 0.710476i
\(759\) −136.161 14.3111i −0.179395 0.0188552i
\(760\) −465.592 + 190.406i −0.612621 + 0.250534i
\(761\) 34.8320 + 331.404i 0.0457713 + 0.435485i 0.993278 + 0.115750i \(0.0369272\pi\)
−0.947507 + 0.319735i \(0.896406\pi\)
\(762\) 1272.74 201.581i 1.67026 0.264543i
\(763\) 467.611 374.253i 0.612859 0.490502i
\(764\) −246.525 339.313i −0.322677 0.444127i
\(765\) 56.0719 1827.25i 0.0732966 2.38856i
\(766\) 66.3501 631.279i 0.0866189 0.824124i
\(767\) −57.8158 1103.19i −0.0753792 1.43832i
\(768\) 87.3787 23.4131i 0.113774 0.0304857i
\(769\) 900.828 292.697i 1.17143 0.380620i 0.342252 0.939608i \(-0.388810\pi\)
0.829176 + 0.558988i \(0.188810\pi\)
\(770\) −39.7423 + 36.9494i −0.0516133 + 0.0479863i
\(771\) 474.646 1460.81i 0.615624 1.89469i
\(772\) −17.6020 0.922479i −0.0228005 0.00119492i
\(773\) 83.5842 + 217.744i 0.108130 + 0.281687i 0.976960 0.213423i \(-0.0684611\pi\)
−0.868830 + 0.495110i \(0.835128\pi\)
\(774\) −520.799 + 300.683i −0.672867 + 0.388480i
\(775\) 547.938 + 91.8440i 0.707017 + 0.118508i
\(776\) −244.433 −0.314991
\(777\) 358.957 2185.34i 0.461978 2.81253i
\(778\) −829.522 + 422.662i −1.06622 + 0.543268i
\(779\) 187.206 168.561i 0.240316 0.216381i
\(780\) −817.890 + 948.952i −1.04858 + 1.21661i
\(781\) 3.55720 3.95067i 0.00455467 0.00505847i
\(782\) −128.713 480.363i −0.164595 0.614275i
\(783\) 218.101 428.047i 0.278545 0.546676i
\(784\) 77.6655 + 179.956i 0.0990632 + 0.229535i
\(785\) −494.789 + 516.725i −0.630304 + 0.658248i
\(786\) −67.3103 640.415i −0.0856365 0.814777i
\(787\) 845.939 + 1044.65i 1.07489 + 1.32738i 0.941762 + 0.336281i \(0.109169\pi\)
0.133129 + 0.991099i \(0.457497\pi\)
\(788\) 305.933 247.739i 0.388239 0.314390i
\(789\) −2093.52 + 220.038i −2.65338 + 0.278882i
\(790\) 89.4506 185.387i 0.113229 0.234667i
\(791\) −346.194 254.565i −0.437667 0.321827i
\(792\) −63.4516 32.3302i −0.0801157 0.0408210i
\(793\) 976.191 261.570i 1.23101 0.329848i
\(794\) 58.3765 + 52.5624i 0.0735220 + 0.0661995i
\(795\) 1883.38 + 156.750i 2.36904 + 0.197170i
\(796\) 373.631 + 414.959i 0.469385 + 0.521305i
\(797\) 294.518 + 578.024i 0.369533 + 0.725250i 0.998644 0.0520661i \(-0.0165807\pi\)
−0.629110 + 0.777316i \(0.716581\pi\)
\(798\) 1261.68 1539.94i 1.58105 1.92975i
\(799\) 273.109i 0.341814i
\(800\) 42.4902 + 134.887i 0.0531127 + 0.168609i
\(801\) 168.514 + 291.875i 0.210379 + 0.364388i
\(802\) −233.100 + 89.4785i −0.290648 + 0.111569i
\(803\) −5.56476 + 106.182i −0.00692996 + 0.132232i
\(804\) −291.250 94.6329i −0.362251 0.117703i
\(805\) −711.174 303.130i −0.883446 0.376559i
\(806\) 215.198 + 662.312i 0.266995 + 0.821726i
\(807\) 18.2257 + 68.0191i 0.0225845 + 0.0842863i
\(808\) 372.316 19.5123i 0.460788 0.0241489i
\(809\) 1218.25 + 128.043i 1.50587 + 0.158273i 0.821225 0.570604i \(-0.193291\pi\)
0.684644 + 0.728877i \(0.259958\pi\)
\(810\) 573.033 1595.36i 0.707448 1.96958i
\(811\) −379.112 + 275.441i −0.467463 + 0.339632i −0.796452 0.604702i \(-0.793292\pi\)
0.328989 + 0.944334i \(0.393292\pi\)
\(812\) −53.2255 66.5027i −0.0655487 0.0818999i
\(813\) −47.3172 298.749i −0.0582008 0.367465i
\(814\) 86.2833 9.06874i 0.105999 0.0111410i
\(815\) 370.599 313.651i 0.454723 0.384847i
\(816\) 37.6348 358.071i 0.0461211 0.438813i
\(817\) 552.342 358.695i 0.676061 0.439039i
\(818\) 67.1663 + 67.1663i 0.0821104 + 0.0821104i
\(819\) 760.538 3479.99i 0.928618 4.24907i
\(820\) −42.8613 56.3811i −0.0522699 0.0687575i
\(821\) 148.189 + 164.580i 0.180498 + 0.200463i 0.826603 0.562785i \(-0.190270\pi\)
−0.646106 + 0.763248i \(0.723603\pi\)
\(822\) 421.869 649.622i 0.513223 0.790294i
\(823\) −203.494 530.120i −0.247259 0.644131i 0.752639 0.658434i \(-0.228781\pi\)
−0.999898 + 0.0143022i \(0.995447\pi\)
\(824\) 24.8518 + 14.3482i 0.0301600 + 0.0174129i
\(825\) 64.2986 140.990i 0.0779377 0.170898i
\(826\) 493.537 + 2.82483i 0.597503 + 0.00341989i
\(827\) 101.168 638.752i 0.122332 0.772372i −0.847893 0.530167i \(-0.822129\pi\)
0.970225 0.242205i \(-0.0778708\pi\)
\(828\) 53.0966 1013.14i 0.0641264 1.22360i
\(829\) −105.699 497.273i −0.127501 0.599847i −0.994782 0.102027i \(-0.967467\pi\)
0.867280 0.497820i \(-0.165866\pi\)
\(830\) 11.0792 133.118i 0.0133484 0.160383i
\(831\) 1510.97 + 321.166i 1.81825 + 0.386482i
\(832\) −125.345 + 125.345i −0.150655 + 0.150655i
\(833\) 779.445 31.9070i 0.935709 0.0383038i
\(834\) −1090.13 + 1500.44i −1.30711 + 1.79909i
\(835\) 1143.51 778.367i 1.36948 0.932176i
\(836\) 71.2474 + 31.7214i 0.0852242 + 0.0379443i
\(837\) −1104.29 1363.69i −1.31934 1.62925i
\(838\) −60.7043 23.3022i −0.0724395 0.0278069i
\(839\) −840.077 1156.27i −1.00128 1.37815i −0.924534 0.381099i \(-0.875546\pi\)
−0.0767500 0.997050i \(-0.524454\pi\)
\(840\) −402.033 389.401i −0.478610 0.463573i
\(841\) −650.435 472.569i −0.773407 0.561913i
\(842\) −428.005 + 277.950i −0.508319 + 0.330107i
\(843\) −790.469 + 2950.07i −0.937685 + 3.49949i
\(844\) −563.362 507.254i −0.667491 0.601011i
\(845\) 300.498 1581.61i 0.355619 1.87173i
\(846\) −172.171 + 529.887i −0.203511 + 0.626344i
\(847\) −837.172 48.6806i −0.988397 0.0574742i
\(848\) 264.123 + 41.8329i 0.311465 + 0.0493313i
\(849\) −1243.20 717.764i −1.46432 0.845423i
\(850\) 561.811 + 34.5125i 0.660954 + 0.0406030i
\(851\) 617.998 + 1070.40i 0.726203 + 1.25782i
\(852\) 42.6121 + 34.5066i 0.0500142 + 0.0405007i
\(853\) 901.666 459.422i 1.05705 0.538595i 0.163032 0.986621i \(-0.447873\pi\)
0.894021 + 0.448026i \(0.147873\pi\)
\(854\) 91.3457 + 442.178i 0.106962 + 0.517772i
\(855\) −1177.61 + 3910.87i −1.37732 + 4.57412i
\(856\) −154.949 32.9355i −0.181015 0.0384760i
\(857\) −322.533 86.4225i −0.376352 0.100843i 0.0656843 0.997840i \(-0.479077\pi\)
−0.442036 + 0.896997i \(0.645744\pi\)
\(858\) 193.969 10.1655i 0.226071 0.0118479i
\(859\) −523.255 1175.25i −0.609144 1.36816i −0.910047 0.414506i \(-0.863955\pi\)
0.300902 0.953655i \(-0.402712\pi\)
\(860\) −87.6177 163.117i −0.101881 0.189671i
\(861\) 255.406 + 115.470i 0.296638 + 0.134111i
\(862\) 452.723 71.7043i 0.525201 0.0831836i
\(863\) −947.724 363.797i −1.09817 0.421549i −0.259257 0.965808i \(-0.583478\pi\)
−0.838917 + 0.544259i \(0.816811\pi\)
\(864\) 181.673 408.045i 0.210270 0.472275i
\(865\) −388.053 948.889i −0.448616 1.09698i
\(866\) 144.487 64.3296i 0.166844 0.0742836i
\(867\) 179.045 + 91.2280i 0.206511 + 0.105223i
\(868\) −300.981 + 78.8040i −0.346752 + 0.0907880i
\(869\) −30.3520 + 9.86196i −0.0349275 + 0.0113486i
\(870\) 213.239 + 117.024i 0.245102 + 0.134510i
\(871\) 586.982 124.767i 0.673917 0.143246i
\(872\) −131.807 + 202.964i −0.151154 + 0.232757i
\(873\) −1249.01 + 1542.40i −1.43071 + 1.76678i
\(874\) 1111.08i 1.27125i
\(875\) 580.946 654.314i 0.663938 0.747788i
\(876\) −1096.68 −1.25192
\(877\) −262.002 212.165i −0.298748 0.241921i 0.468212 0.883616i \(-0.344898\pi\)
−0.766960 + 0.641695i \(0.778232\pi\)
\(878\) 344.629 + 223.805i 0.392516 + 0.254903i
\(879\) 390.641 + 1837.82i 0.444415 + 2.09081i
\(880\) 10.5489 19.2221i 0.0119874 0.0218433i
\(881\) 444.292 + 1367.39i 0.504304 + 1.55209i 0.801937 + 0.597408i \(0.203803\pi\)
−0.297633 + 0.954680i \(0.596197\pi\)
\(882\) 1532.40 + 429.464i 1.73741 + 0.486921i
\(883\) −303.501 + 595.654i −0.343716 + 0.674580i −0.996557 0.0829150i \(-0.973577\pi\)
0.652841 + 0.757495i \(0.273577\pi\)
\(884\) 286.965 + 644.534i 0.324621 + 0.729111i
\(885\) −1304.50 + 533.483i −1.47401 + 0.602805i
\(886\) 433.804 + 193.142i 0.489621 + 0.217993i
\(887\) −6.60957 + 17.2185i −0.00745160 + 0.0194121i −0.937256 0.348643i \(-0.886643\pi\)
0.929804 + 0.368055i \(0.119976\pi\)
\(888\) 139.984 + 883.825i 0.157640 + 0.995298i
\(889\) −657.864 916.457i −0.740004 1.03089i
\(890\) −91.4166 + 49.1042i −0.102715 + 0.0551732i
\(891\) −240.100 + 106.899i −0.269472 + 0.119977i
\(892\) 0.472448 + 9.01484i 0.000529650 + 0.0101063i
\(893\) 157.925 589.383i 0.176847 0.660004i
\(894\) 231.796 1090.51i 0.259280 1.21982i
\(895\) 817.574 + 246.181i 0.913491 + 0.275063i
\(896\) −52.6547 59.1564i −0.0587664 0.0660228i
\(897\) 1256.26 + 2465.55i 1.40051 + 2.74866i
\(898\) −143.672 + 177.420i −0.159991 + 0.197572i
\(899\) 117.097 67.6061i 0.130253 0.0752015i
\(900\) 1068.27 + 421.133i 1.18697 + 0.467925i
\(901\) 532.168 921.742i 0.590642 1.02302i
\(902\) −1.71775 + 10.8455i −0.00190438 + 0.0120238i
\(903\) 612.283 + 402.622i 0.678054 + 0.445872i
\(904\) 165.132 + 53.6548i 0.182669 + 0.0593527i
\(905\) −306.863 58.3023i −0.339075 0.0644224i
\(906\) −94.9240 + 105.424i −0.104773 + 0.116362i
\(907\) 413.686 + 110.847i 0.456104 + 0.122213i 0.479554 0.877512i \(-0.340799\pi\)
−0.0234504 + 0.999725i \(0.507465\pi\)
\(908\) 6.46579 + 9.95645i 0.00712092 + 0.0109653i
\(909\) 1779.35 2449.06i 1.95748 2.69423i
\(910\) 1063.79 + 266.922i 1.16900 + 0.293321i
\(911\) −805.460 + 585.201i −0.884149 + 0.642372i −0.934346 0.356367i \(-0.884015\pi\)
0.0501966 + 0.998739i \(0.484015\pi\)
\(912\) −288.272 + 750.974i −0.316087 + 0.823436i
\(913\) −16.0950 + 13.0335i −0.0176287 + 0.0142755i
\(914\) 230.034 516.664i 0.251678 0.565278i
\(915\) −725.509 1065.86i −0.792906 1.16487i
\(916\) 260.469 + 189.242i 0.284355 + 0.206596i
\(917\) −474.552 + 304.330i −0.517505 + 0.331876i
\(918\) −1257.06 1257.06i −1.36935 1.36935i
\(919\) −93.3919 + 439.374i −0.101623 + 0.478100i 0.897675 + 0.440657i \(0.145255\pi\)
−0.999299 + 0.0374430i \(0.988079\pi\)
\(920\) 311.296 + 25.9086i 0.338366 + 0.0281615i
\(921\) 182.790 38.8532i 0.198469 0.0421859i
\(922\) −103.640 5.43156i −0.112408 0.00589106i
\(923\) −106.123 16.8083i −0.114977 0.0182105i
\(924\) −0.496675 + 86.7762i −0.000537527 + 0.0939137i
\(925\) −1370.93 + 278.538i −1.48209 + 0.301122i
\(926\) 173.339 300.232i 0.187191 0.324225i
\(927\) 217.527 83.5008i 0.234657 0.0900764i
\(928\) 28.8652 + 18.7453i 0.0311047 + 0.0201996i
\(929\) −375.717 + 338.297i −0.404432 + 0.364152i −0.846098 0.533028i \(-0.821054\pi\)
0.441666 + 0.897179i \(0.354388\pi\)
\(930\) 707.283 537.682i 0.760520 0.578152i
\(931\) −1700.53 381.856i −1.82657 0.410157i
\(932\) −79.1258 + 79.1258i −0.0848989 + 0.0848989i
\(933\) 1002.39 + 1543.55i 1.07438 + 1.65440i
\(934\) 670.682 + 70.4915i 0.718074 + 0.0754727i
\(935\) −56.3778 66.6142i −0.0602972 0.0712452i
\(936\) 150.450 + 1431.43i 0.160737 + 1.52931i
\(937\) 1218.43 192.981i 1.30036 0.205956i 0.532418 0.846481i \(-0.321283\pi\)
0.767937 + 0.640525i \(0.221283\pi\)
\(938\) 40.4242 + 265.037i 0.0430961 + 0.282556i
\(939\) 76.1632 + 104.830i 0.0811109 + 0.111640i
\(940\) −161.448 57.9902i −0.171753 0.0616917i
\(941\) −159.972 + 1522.03i −0.170002 + 1.61746i 0.493815 + 0.869567i \(0.335602\pi\)
−0.663817 + 0.747895i \(0.731065\pi\)
\(942\) 59.8750 + 1142.48i 0.0635616 + 1.21283i
\(943\) −151.104 + 40.4883i −0.160238 + 0.0429356i
\(944\) −189.662 + 61.6249i −0.200913 + 0.0652806i
\(945\) −2743.48 + 332.697i −2.90315 + 0.352060i
\(946\) −8.87117 + 27.3026i −0.00937755 + 0.0288611i
\(947\) 998.938 + 52.3521i 1.05484 + 0.0552821i 0.571864 0.820349i \(-0.306221\pi\)
0.482981 + 0.875631i \(0.339554\pi\)
\(948\) −117.962 307.303i −0.124433 0.324159i
\(949\) 1861.11 1074.51i 1.96113 1.13226i
\(950\) −1192.46 399.346i −1.25522 0.420364i
\(951\) 463.735 0.487629
\(952\) −294.913 + 111.274i −0.309783 + 0.116885i
\(953\) 486.479 247.874i 0.510472 0.260098i −0.179729 0.983716i \(-0.557522\pi\)
0.690201 + 0.723618i \(0.257522\pi\)
\(954\) 1613.59 1452.88i 1.69139 1.52294i
\(955\) 86.9670 1044.92i 0.0910649 1.09416i
\(956\) −361.559 + 401.552i −0.378200 + 0.420034i
\(957\) −9.76076 36.4277i −0.0101993 0.0380644i
\(958\) 53.6284 105.252i 0.0559795 0.109866i
\(959\) −673.994 74.7423i −0.702810 0.0779378i
\(960\) 203.682 + 98.2782i 0.212169 + 0.102373i
\(961\) 48.8279 + 464.566i 0.0508095 + 0.483420i
\(962\) −1103.52 1362.73i −1.14711 1.41656i
\(963\) −999.589 + 809.451i −1.03799 + 0.840551i
\(964\) −561.140 + 58.9782i −0.582096 + 0.0611807i
\(965\) −31.8271 30.4760i −0.0329815 0.0315813i
\(966\) −1132.25 + 496.363i −1.17210 + 0.513834i
\(967\) −302.815 154.292i −0.313149 0.159557i 0.290352 0.956920i \(-0.406228\pi\)
−0.603500 + 0.797363i \(0.706228\pi\)
\(968\) 327.294 87.6983i 0.338114 0.0905974i
\(969\) 2379.25 + 2142.28i 2.45536 + 2.21082i
\(970\) −462.882 398.952i −0.477198 0.411291i
\(971\) 645.928 + 717.376i 0.665220 + 0.738801i 0.977441 0.211208i \(-0.0677398\pi\)
−0.312221 + 0.950009i \(0.601073\pi\)
\(972\) −585.429 1148.97i −0.602293 1.18207i
\(973\) 1602.22 + 263.175i 1.64668 + 0.270478i
\(974\) 357.065i 0.366597i
\(975\) −3097.67 + 462.103i −3.17710 + 0.473952i
\(976\) −91.2196 157.997i −0.0934627 0.161882i
\(977\) −762.205 + 292.583i −0.780149 + 0.299471i −0.715661 0.698448i \(-0.753875\pi\)
−0.0644873 + 0.997919i \(0.520541\pi\)
\(978\) 40.6336 775.336i 0.0415477 0.792777i
\(979\) 15.3014 + 4.97173i 0.0156296 + 0.00507837i
\(980\) −146.640 + 467.543i −0.149633 + 0.477085i
\(981\) 607.218 + 1868.82i 0.618978 + 1.90502i
\(982\) 145.094 + 541.497i 0.147753 + 0.551423i
\(983\) 725.839 38.0396i 0.738392 0.0386975i 0.320568 0.947226i \(-0.396126\pi\)
0.417824 + 0.908528i \(0.362793\pi\)
\(984\) −112.636 11.8385i −0.114467 0.0120310i
\(985\) 983.691 + 30.1861i 0.998671 + 0.0306457i
\(986\) 110.824 80.5183i 0.112397 0.0816616i
\(987\) 671.165 102.368i 0.680005 0.103716i
\(988\) −246.585 1556.87i −0.249580 1.57578i
\(989\) −406.741 + 42.7502i −0.411265 + 0.0432257i
\(990\) −67.3901 164.786i −0.0680708 0.166451i
\(991\) 30.6453 291.570i 0.0309236 0.294218i −0.968120 0.250488i \(-0.919409\pi\)
0.999043 0.0437306i \(-0.0139243\pi\)
\(992\) 105.433 68.4687i 0.106283 0.0690209i
\(993\) −1068.54 1068.54i −1.07608 1.07608i
\(994\) 10.2490 46.8965i 0.0103109 0.0471796i
\(995\) 30.2661 + 1395.63i 0.0304182 + 1.40264i
\(996\) −142.934 158.744i −0.143508 0.159381i
\(997\) 386.763 595.563i 0.387927 0.597355i −0.589720 0.807608i \(-0.700762\pi\)
0.977647 + 0.210253i \(0.0674287\pi\)
\(998\) 154.195 + 401.691i 0.154504 + 0.402496i
\(999\) 3826.43 + 2209.19i 3.83026 + 2.21140i
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 350.3.w.a.23.20 320
7.4 even 3 inner 350.3.w.a.123.20 yes 320
25.12 odd 20 inner 350.3.w.a.37.20 yes 320
175.137 odd 60 inner 350.3.w.a.137.20 yes 320
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
350.3.w.a.23.20 320 1.1 even 1 trivial
350.3.w.a.37.20 yes 320 25.12 odd 20 inner
350.3.w.a.123.20 yes 320 7.4 even 3 inner
350.3.w.a.137.20 yes 320 175.137 odd 60 inner