Properties

Label 430.2.r.a.27.5
Level $430$
Weight $2$
Character 430.27
Analytic conductor $3.434$
Analytic rank $0$
Dimension $264$
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] = [430,2,Mod(27,430)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(430, base_ring=CyclotomicField(28))
 
chi = DirichletCharacter(H, H._module([7, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("430.27");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 430 = 2 \cdot 5 \cdot 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 430.r (of order \(28\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.43356728692\)
Analytic rank: \(0\)
Dimension: \(264\)
Relative dimension: \(22\) over \(\Q(\zeta_{28})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label 27.5
Character \(\chi\) \(=\) 430.27
Dual form 430.2.r.a.223.5

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.846724 - 0.532032i) q^{2} +(-0.0459382 + 0.0288649i) q^{3} +(0.433884 + 0.900969i) q^{4} +(-1.90179 - 1.17609i) q^{5} +0.0542540 q^{6} +(-0.499604 + 0.499604i) q^{7} +(0.111964 - 0.993712i) q^{8} +(-1.30037 + 2.70025i) q^{9} +O(q^{10})\) \(q+(-0.846724 - 0.532032i) q^{2} +(-0.0459382 + 0.0288649i) q^{3} +(0.433884 + 0.900969i) q^{4} +(-1.90179 - 1.17609i) q^{5} +0.0542540 q^{6} +(-0.499604 + 0.499604i) q^{7} +(0.111964 - 0.993712i) q^{8} +(-1.30037 + 2.70025i) q^{9} +(0.984578 + 2.00764i) q^{10} +(1.98628 + 0.956540i) q^{11} +(-0.0459382 - 0.0288649i) q^{12} +(4.43413 + 0.499607i) q^{13} +(0.688832 - 0.157222i) q^{14} +(0.121313 - 0.000867713i) q^{15} +(-0.623490 + 0.781831i) q^{16} +(2.69020 - 0.303112i) q^{17} +(2.53768 - 1.59453i) q^{18} +(-0.517113 + 0.249028i) q^{19} +(0.234461 - 2.22374i) q^{20} +(0.00852990 - 0.0373719i) q^{21} +(-1.17292 - 1.86669i) q^{22} +(5.75294 - 2.01304i) q^{23} +(0.0235399 + 0.0488812i) q^{24} +(2.23364 + 4.47335i) q^{25} +(-3.48868 - 2.78213i) q^{26} +(-0.0364293 - 0.323319i) q^{27} +(-0.666898 - 0.233358i) q^{28} +(0.0156851 + 0.0687207i) q^{29} +(-0.103180 - 0.0638075i) q^{30} +(1.84639 + 8.08958i) q^{31} +(0.943883 - 0.330279i) q^{32} +(-0.118856 + 0.0133919i) q^{33} +(-2.43912 - 1.17462i) q^{34} +(1.53772 - 0.362566i) q^{35} -2.99706 q^{36} +(-1.14650 + 1.14650i) q^{37} +(0.570343 + 0.0642622i) q^{38} +(-0.218117 + 0.105040i) q^{39} +(-1.38163 + 1.75816i) q^{40} +(-0.823879 - 3.60965i) q^{41} +(-0.0271055 + 0.0271055i) q^{42} +(6.51895 - 0.709388i) q^{43} +2.20460i q^{44} +(5.64878 - 3.60597i) q^{45} +(-5.94215 - 1.35626i) q^{46} +(2.75594 + 0.964344i) q^{47} +(0.00607452 - 0.0539129i) q^{48} +6.50079i q^{49} +(0.488691 - 4.97606i) q^{50} +(-0.114833 + 0.0915767i) q^{51} +(1.47377 + 4.21179i) q^{52} +(-0.271072 - 2.40583i) q^{53} +(-0.141170 + 0.293143i) q^{54} +(-2.65251 - 4.15517i) q^{55} +(0.440525 + 0.552401i) q^{56} +(0.0165670 - 0.0263663i) q^{57} +(0.0232807 - 0.0665325i) q^{58} +(3.76719 + 3.00423i) q^{59} +(0.0534173 + 0.108922i) q^{60} +(2.12387 + 0.484760i) q^{61} +(2.74053 - 7.83198i) q^{62} +(-0.699386 - 1.99873i) q^{63} +(-0.974928 - 0.222521i) q^{64} +(-7.84523 - 6.16508i) q^{65} +(0.107763 + 0.0518961i) q^{66} +(-4.11480 - 1.43983i) q^{67} +(1.44033 + 2.29227i) q^{68} +(-0.206173 + 0.258533i) q^{69} +(-1.49492 - 0.511124i) q^{70} +(-4.06845 - 8.44823i) q^{71} +(2.53768 + 1.59453i) q^{72} +(-0.924518 + 8.20532i) q^{73} +(1.58074 - 0.360795i) q^{74} +(-0.231732 - 0.141024i) q^{75} +(-0.448734 - 0.357853i) q^{76} +(-1.47024 + 0.514460i) q^{77} +(0.240570 + 0.0271057i) q^{78} +1.84838i q^{79} +(2.10525 - 0.753604i) q^{80} +(-5.59490 - 7.01578i) q^{81} +(-1.22285 + 3.49471i) q^{82} +(-4.67661 - 7.44278i) q^{83} +(0.0373719 - 0.00852990i) q^{84} +(-5.47269 - 2.58745i) q^{85} +(-5.89717 - 2.86764i) q^{86} +(-0.00270416 - 0.00270416i) q^{87} +(1.17292 - 1.86669i) q^{88} +(-3.89457 + 17.0632i) q^{89} +(-6.70145 + 0.0479335i) q^{90} +(-2.46492 + 1.96571i) q^{91} +(4.30979 + 4.30979i) q^{92} +(-0.318325 - 0.318325i) q^{93} +(-1.82046 - 2.28278i) q^{94} +(1.27632 + 0.134569i) q^{95} +(-0.0338268 + 0.0424175i) q^{96} +(4.59271 + 13.1252i) q^{97} +(3.45863 - 5.50438i) q^{98} +(-5.16580 + 4.11959i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 264 q - 8 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 264 q - 8 q^{6} - 40 q^{13} + 44 q^{16} - 8 q^{17} - 16 q^{21} - 24 q^{23} - 8 q^{25} + 48 q^{31} - 56 q^{33} + 32 q^{35} + 256 q^{36} - 100 q^{38} + 40 q^{41} - 168 q^{43} + 48 q^{47} - 280 q^{51} - 16 q^{52} + 24 q^{53} - 8 q^{56} - 40 q^{57} - 16 q^{60} - 84 q^{62} + 84 q^{65} + 144 q^{66} + 40 q^{67} + 20 q^{68} - 252 q^{73} - 56 q^{77} - 56 q^{78} + 48 q^{81} - 56 q^{82} - 44 q^{83} + 20 q^{86} - 144 q^{87} + 4 q^{90} + 24 q^{92} + 28 q^{95} + 8 q^{96} - 60 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/430\mathbb{Z}\right)^\times\).

\(n\) \(87\) \(261\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.846724 0.532032i −0.598724 0.376203i
\(3\) −0.0459382 + 0.0288649i −0.0265224 + 0.0166651i −0.545228 0.838288i \(-0.683557\pi\)
0.518706 + 0.854953i \(0.326414\pi\)
\(4\) 0.433884 + 0.900969i 0.216942 + 0.450484i
\(5\) −1.90179 1.17609i −0.850508 0.525962i
\(6\) 0.0542540 0.0221491
\(7\) −0.499604 + 0.499604i −0.188833 + 0.188833i −0.795191 0.606359i \(-0.792630\pi\)
0.606359 + 0.795191i \(0.292630\pi\)
\(8\) 0.111964 0.993712i 0.0395854 0.351330i
\(9\) −1.30037 + 2.70025i −0.433458 + 0.900085i
\(10\) 0.984578 + 2.00764i 0.311351 + 0.634870i
\(11\) 1.98628 + 0.956540i 0.598885 + 0.288408i 0.708661 0.705549i \(-0.249299\pi\)
−0.109777 + 0.993956i \(0.535014\pi\)
\(12\) −0.0459382 0.0288649i −0.0132612 0.00833257i
\(13\) 4.43413 + 0.499607i 1.22981 + 0.138566i 0.702858 0.711330i \(-0.251907\pi\)
0.526950 + 0.849896i \(0.323336\pi\)
\(14\) 0.688832 0.157222i 0.184098 0.0420192i
\(15\) 0.121313 0.000867713i 0.0313228 0.000224043i
\(16\) −0.623490 + 0.781831i −0.155872 + 0.195458i
\(17\) 2.69020 0.303112i 0.652469 0.0735156i 0.220476 0.975392i \(-0.429239\pi\)
0.431993 + 0.901877i \(0.357811\pi\)
\(18\) 2.53768 1.59453i 0.598137 0.375834i
\(19\) −0.517113 + 0.249028i −0.118634 + 0.0571310i −0.492259 0.870449i \(-0.663829\pi\)
0.373626 + 0.927580i \(0.378115\pi\)
\(20\) 0.234461 2.22374i 0.0524270 0.497244i
\(21\) 0.00852990 0.0373719i 0.00186138 0.00815523i
\(22\) −1.17292 1.86669i −0.250067 0.397979i
\(23\) 5.75294 2.01304i 1.19957 0.419748i 0.344761 0.938690i \(-0.387960\pi\)
0.854809 + 0.518942i \(0.173674\pi\)
\(24\) 0.0235399 + 0.0488812i 0.00480507 + 0.00997783i
\(25\) 2.23364 + 4.47335i 0.446727 + 0.894670i
\(26\) −3.48868 2.78213i −0.684187 0.545621i
\(27\) −0.0364293 0.323319i −0.00701082 0.0622227i
\(28\) −0.666898 0.233358i −0.126032 0.0441005i
\(29\) 0.0156851 + 0.0687207i 0.00291264 + 0.0127611i 0.976363 0.216136i \(-0.0693453\pi\)
−0.973451 + 0.228897i \(0.926488\pi\)
\(30\) −0.103180 0.0638075i −0.0188380 0.0116496i
\(31\) 1.84639 + 8.08958i 0.331622 + 1.45293i 0.815989 + 0.578067i \(0.196193\pi\)
−0.484367 + 0.874865i \(0.660950\pi\)
\(32\) 0.943883 0.330279i 0.166857 0.0583856i
\(33\) −0.118856 + 0.0133919i −0.0206902 + 0.00233123i
\(34\) −2.43912 1.17462i −0.418306 0.201445i
\(35\) 1.53772 0.362566i 0.259923 0.0612848i
\(36\) −2.99706 −0.499509
\(37\) −1.14650 + 1.14650i −0.188484 + 0.188484i −0.795040 0.606557i \(-0.792550\pi\)
0.606557 + 0.795040i \(0.292550\pi\)
\(38\) 0.570343 + 0.0642622i 0.0925218 + 0.0104247i
\(39\) −0.218117 + 0.105040i −0.0349267 + 0.0168198i
\(40\) −1.38163 + 1.75816i −0.218454 + 0.277989i
\(41\) −0.823879 3.60965i −0.128668 0.563732i −0.997627 0.0688481i \(-0.978068\pi\)
0.868959 0.494884i \(-0.164790\pi\)
\(42\) −0.0271055 + 0.0271055i −0.00418248 + 0.00418248i
\(43\) 6.51895 0.709388i 0.994131 0.108181i
\(44\) 2.20460i 0.332356i
\(45\) 5.64878 3.60597i 0.842070 0.537547i
\(46\) −5.94215 1.35626i −0.876123 0.199969i
\(47\) 2.75594 + 0.964344i 0.401995 + 0.140664i 0.523701 0.851902i \(-0.324551\pi\)
−0.121706 + 0.992566i \(0.538837\pi\)
\(48\) 0.00607452 0.0539129i 0.000876782 0.00778166i
\(49\) 6.50079i 0.928684i
\(50\) 0.488691 4.97606i 0.0691114 0.703721i
\(51\) −0.114833 + 0.0915767i −0.0160799 + 0.0128233i
\(52\) 1.47377 + 4.21179i 0.204375 + 0.584070i
\(53\) −0.271072 2.40583i −0.0372346 0.330466i −0.998496 0.0548274i \(-0.982539\pi\)
0.961261 0.275639i \(-0.0888894\pi\)
\(54\) −0.141170 + 0.293143i −0.0192109 + 0.0398917i
\(55\) −2.65251 4.15517i −0.357665 0.560284i
\(56\) 0.440525 + 0.552401i 0.0588676 + 0.0738177i
\(57\) 0.0165670 0.0263663i 0.00219436 0.00349230i
\(58\) 0.0232807 0.0665325i 0.00305691 0.00873614i
\(59\) 3.76719 + 3.00423i 0.490446 + 0.391117i 0.837250 0.546820i \(-0.184162\pi\)
−0.346804 + 0.937937i \(0.612733\pi\)
\(60\) 0.0534173 + 0.108922i 0.00689615 + 0.0140618i
\(61\) 2.12387 + 0.484760i 0.271934 + 0.0620672i 0.356313 0.934367i \(-0.384034\pi\)
−0.0843793 + 0.996434i \(0.526891\pi\)
\(62\) 2.74053 7.83198i 0.348048 0.994663i
\(63\) −0.699386 1.99873i −0.0881144 0.251816i
\(64\) −0.974928 0.222521i −0.121866 0.0278151i
\(65\) −7.84523 6.16508i −0.973081 0.764684i
\(66\) 0.107763 + 0.0518961i 0.0132648 + 0.00638797i
\(67\) −4.11480 1.43983i −0.502703 0.175903i 0.0670016 0.997753i \(-0.478657\pi\)
−0.569705 + 0.821849i \(0.692942\pi\)
\(68\) 1.44033 + 2.29227i 0.174665 + 0.277978i
\(69\) −0.206173 + 0.258533i −0.0248204 + 0.0311238i
\(70\) −1.49492 0.511124i −0.178678 0.0610910i
\(71\) −4.06845 8.44823i −0.482836 1.00262i −0.990039 0.140793i \(-0.955035\pi\)
0.507203 0.861827i \(-0.330680\pi\)
\(72\) 2.53768 + 1.59453i 0.299068 + 0.187917i
\(73\) −0.924518 + 8.20532i −0.108207 + 0.960360i 0.815892 + 0.578205i \(0.196247\pi\)
−0.924098 + 0.382155i \(0.875182\pi\)
\(74\) 1.58074 0.360795i 0.183758 0.0419415i
\(75\) −0.231732 0.141024i −0.0267581 0.0162840i
\(76\) −0.448734 0.357853i −0.0514733 0.0410486i
\(77\) −1.47024 + 0.514460i −0.167550 + 0.0586282i
\(78\) 0.240570 + 0.0271057i 0.0272391 + 0.00306911i
\(79\) 1.84838i 0.207959i 0.994579 + 0.103980i \(0.0331576\pi\)
−0.994579 + 0.103980i \(0.966842\pi\)
\(80\) 2.10525 0.753604i 0.235374 0.0842554i
\(81\) −5.59490 7.01578i −0.621655 0.779531i
\(82\) −1.22285 + 3.49471i −0.135041 + 0.385926i
\(83\) −4.67661 7.44278i −0.513324 0.816951i 0.485018 0.874504i \(-0.338813\pi\)
−0.998342 + 0.0575533i \(0.981670\pi\)
\(84\) 0.0373719 0.00852990i 0.00407761 0.000930688i
\(85\) −5.47269 2.58745i −0.593596 0.280648i
\(86\) −5.89717 2.86764i −0.635909 0.309225i
\(87\) −0.00270416 0.00270416i −0.000289916 0.000289916i
\(88\) 1.17292 1.86669i 0.125033 0.198990i
\(89\) −3.89457 + 17.0632i −0.412823 + 1.80870i 0.157784 + 0.987474i \(0.449565\pi\)
−0.570607 + 0.821223i \(0.693292\pi\)
\(90\) −6.70145 + 0.0479335i −0.706395 + 0.00505263i
\(91\) −2.46492 + 1.96571i −0.258394 + 0.206062i
\(92\) 4.30979 + 4.30979i 0.449327 + 0.449327i
\(93\) −0.318325 0.318325i −0.0330087 0.0330087i
\(94\) −1.82046 2.28278i −0.187766 0.235451i
\(95\) 1.27632 + 0.134569i 0.130948 + 0.0138065i
\(96\) −0.0338268 + 0.0424175i −0.00345244 + 0.00432922i
\(97\) 4.59271 + 13.1252i 0.466319 + 1.33266i 0.901679 + 0.432406i \(0.142335\pi\)
−0.435360 + 0.900256i \(0.643379\pi\)
\(98\) 3.45863 5.50438i 0.349374 0.556026i
\(99\) −5.16580 + 4.11959i −0.519183 + 0.414034i
\(100\) −3.06121 + 3.95335i −0.306121 + 0.395335i
\(101\) −1.78842 + 0.861259i −0.177955 + 0.0856985i −0.520740 0.853715i \(-0.674344\pi\)
0.342785 + 0.939414i \(0.388630\pi\)
\(102\) 0.145954 0.0164451i 0.0144516 0.00162830i
\(103\) −1.54425 13.7056i −0.152160 1.35045i −0.805143 0.593081i \(-0.797911\pi\)
0.652983 0.757372i \(-0.273517\pi\)
\(104\) 0.992931 4.35032i 0.0973649 0.426583i
\(105\) −0.0601748 + 0.0610418i −0.00587246 + 0.00595707i
\(106\) −1.05046 + 2.18129i −0.102029 + 0.211866i
\(107\) 1.04242 0.654996i 0.100775 0.0633208i −0.480702 0.876884i \(-0.659618\pi\)
0.581476 + 0.813563i \(0.302475\pi\)
\(108\) 0.275494 0.173104i 0.0265094 0.0166570i
\(109\) −4.90465 + 10.1846i −0.469780 + 0.975508i 0.522633 + 0.852558i \(0.324950\pi\)
−0.992413 + 0.122950i \(0.960764\pi\)
\(110\) 0.0352593 + 4.92951i 0.00336184 + 0.470010i
\(111\) 0.0195746 0.0857618i 0.00185794 0.00814015i
\(112\) −0.0791082 0.702104i −0.00747502 0.0663426i
\(113\) −6.95122 + 0.783215i −0.653916 + 0.0736787i −0.432688 0.901544i \(-0.642435\pi\)
−0.221228 + 0.975222i \(0.571006\pi\)
\(114\) −0.0280554 + 0.0135108i −0.00262763 + 0.00126540i
\(115\) −13.3084 2.93757i −1.24102 0.273930i
\(116\) −0.0551098 + 0.0439486i −0.00511681 + 0.00408052i
\(117\) −7.11510 + 11.3236i −0.657791 + 1.04687i
\(118\) −1.59142 4.54802i −0.146502 0.418679i
\(119\) −1.19260 + 1.49547i −0.109325 + 0.137090i
\(120\) 0.0127204 0.120647i 0.00116121 0.0110135i
\(121\) −3.82807 4.80024i −0.348006 0.436386i
\(122\) −1.54043 1.54043i −0.139464 0.139464i
\(123\) 0.142040 + 0.142040i 0.0128073 + 0.0128073i
\(124\) −6.48734 + 5.17348i −0.582580 + 0.464592i
\(125\) 1.01313 11.1343i 0.0906175 0.995886i
\(126\) −0.471202 + 2.06447i −0.0419780 + 0.183918i
\(127\) 9.18409 14.6164i 0.814956 1.29699i −0.136942 0.990579i \(-0.543727\pi\)
0.951898 0.306416i \(-0.0991297\pi\)
\(128\) 0.707107 + 0.707107i 0.0625000 + 0.0625000i
\(129\) −0.278993 + 0.220757i −0.0245639 + 0.0194366i
\(130\) 3.36272 + 9.39403i 0.294930 + 0.823911i
\(131\) 5.76552 1.31594i 0.503736 0.114974i 0.0369010 0.999319i \(-0.488251\pi\)
0.466835 + 0.884344i \(0.345394\pi\)
\(132\) −0.0636355 0.101275i −0.00553876 0.00881489i
\(133\) 0.133936 0.382767i 0.0116137 0.0331901i
\(134\) 2.71807 + 3.40835i 0.234805 + 0.294436i
\(135\) −0.310970 + 0.657729i −0.0267640 + 0.0566083i
\(136\) 2.70722i 0.232142i
\(137\) −12.0427 1.35688i −1.02888 0.115926i −0.418645 0.908150i \(-0.637495\pi\)
−0.610231 + 0.792223i \(0.708923\pi\)
\(138\) 0.312120 0.109216i 0.0265694 0.00929705i
\(139\) −14.6832 11.7095i −1.24542 0.993187i −0.999716 0.0238408i \(-0.992411\pi\)
−0.245701 0.969346i \(-0.579018\pi\)
\(140\) 0.993853 + 1.22813i 0.0839959 + 0.103796i
\(141\) −0.154438 + 0.0352496i −0.0130061 + 0.00296855i
\(142\) −1.04987 + 9.31787i −0.0881032 + 0.781938i
\(143\) 8.32952 + 5.23378i 0.696549 + 0.437671i
\(144\) −1.30037 2.70025i −0.108365 0.225021i
\(145\) 0.0509918 0.149140i 0.00423464 0.0123854i
\(146\) 5.14830 6.45577i 0.426077 0.534283i
\(147\) −0.187645 0.298635i −0.0154767 0.0246310i
\(148\) −1.53041 0.535513i −0.125799 0.0440189i
\(149\) 7.64047 + 3.67946i 0.625932 + 0.301433i 0.719832 0.694149i \(-0.244219\pi\)
−0.0938996 + 0.995582i \(0.529933\pi\)
\(150\) 0.121184 + 0.242697i 0.00989462 + 0.0198162i
\(151\) −3.36863 0.768868i −0.274135 0.0625696i 0.0832431 0.996529i \(-0.473472\pi\)
−0.357378 + 0.933960i \(0.616329\pi\)
\(152\) 0.189564 + 0.541743i 0.0153757 + 0.0439412i
\(153\) −2.67978 + 7.65838i −0.216648 + 0.619143i
\(154\) 1.51860 + 0.346610i 0.122372 + 0.0279307i
\(155\) 6.00259 17.5562i 0.482140 1.41015i
\(156\) −0.189275 0.150942i −0.0151541 0.0120850i
\(157\) 1.05550 3.01645i 0.0842382 0.240739i −0.894058 0.447952i \(-0.852154\pi\)
0.978296 + 0.207213i \(0.0664393\pi\)
\(158\) 0.983398 1.56507i 0.0782349 0.124510i
\(159\) 0.0818966 + 0.102695i 0.00649482 + 0.00814425i
\(160\) −2.18351 0.481967i −0.172621 0.0381028i
\(161\) −1.86847 + 3.87992i −0.147256 + 0.305780i
\(162\) 1.00472 + 8.91709i 0.0789379 + 0.700593i
\(163\) 1.56281 + 4.46625i 0.122409 + 0.349824i 0.988740 0.149647i \(-0.0478136\pi\)
−0.866331 + 0.499471i \(0.833528\pi\)
\(164\) 2.89471 2.30846i 0.226039 0.180260i
\(165\) 0.241790 + 0.114317i 0.0188233 + 0.00889955i
\(166\) 8.79008i 0.682243i
\(167\) 0.627553 5.56969i 0.0485615 0.430995i −0.945784 0.324798i \(-0.894704\pi\)
0.994345 0.106198i \(-0.0338676\pi\)
\(168\) −0.0361819 0.0126606i −0.00279149 0.000976786i
\(169\) 6.73788 + 1.53788i 0.518298 + 0.118298i
\(170\) 3.25725 + 5.10250i 0.249820 + 0.391344i
\(171\) 1.72017i 0.131544i
\(172\) 3.46761 + 5.56558i 0.264402 + 0.424372i
\(173\) 3.18291 3.18291i 0.241992 0.241992i −0.575682 0.817674i \(-0.695263\pi\)
0.817674 + 0.575682i \(0.195263\pi\)
\(174\) 0.000850978 0.00372838i 6.45125e−5 0.000282648i
\(175\) −3.35084 1.11897i −0.253300 0.0845862i
\(176\) −1.98628 + 0.956540i −0.149721 + 0.0721019i
\(177\) −0.259774 0.0292696i −0.0195258 0.00220003i
\(178\) 12.3758 12.3758i 0.927605 0.927605i
\(179\) 13.9002 1.03895 0.519474 0.854486i \(-0.326128\pi\)
0.519474 + 0.854486i \(0.326128\pi\)
\(180\) 5.69978 + 3.52480i 0.424837 + 0.262723i
\(181\) 20.2661 + 9.75962i 1.50637 + 0.725427i 0.991287 0.131716i \(-0.0420488\pi\)
0.515078 + 0.857144i \(0.327763\pi\)
\(182\) 3.13292 0.352996i 0.232228 0.0261658i
\(183\) −0.111559 + 0.0390363i −0.00824671 + 0.00288565i
\(184\) −1.35626 5.94215i −0.0999847 0.438061i
\(185\) 3.52879 0.832022i 0.259442 0.0611715i
\(186\) 0.100174 + 0.438892i 0.00734514 + 0.0321811i
\(187\) 5.63341 + 1.97122i 0.411956 + 0.144150i
\(188\) 0.326912 + 2.90143i 0.0238425 + 0.211608i
\(189\) 0.179732 + 0.143331i 0.0130735 + 0.0104258i
\(190\) −1.00910 0.792986i −0.0732075 0.0575293i
\(191\) 2.32875 + 4.83570i 0.168503 + 0.349899i 0.968071 0.250676i \(-0.0806527\pi\)
−0.799569 + 0.600575i \(0.794938\pi\)
\(192\) 0.0512095 0.0179190i 0.00369573 0.00129319i
\(193\) −0.302452 0.481349i −0.0217710 0.0346483i 0.835661 0.549245i \(-0.185085\pi\)
−0.857432 + 0.514597i \(0.827942\pi\)
\(194\) 3.09427 13.5569i 0.222156 0.973328i
\(195\) 0.538350 + 0.0567611i 0.0385520 + 0.00406474i
\(196\) −5.85701 + 2.82059i −0.418358 + 0.201471i
\(197\) 21.4155 13.4562i 1.52579 0.958716i 0.532083 0.846692i \(-0.321409\pi\)
0.993705 0.112024i \(-0.0357334\pi\)
\(198\) 6.56576 0.739784i 0.466608 0.0525742i
\(199\) 15.4686 19.3970i 1.09654 1.37502i 0.175991 0.984392i \(-0.443687\pi\)
0.920549 0.390626i \(-0.127742\pi\)
\(200\) 4.69531 1.71874i 0.332009 0.121533i
\(201\) 0.230587 0.0526300i 0.0162644 0.00371224i
\(202\) 1.97252 + 0.222250i 0.138786 + 0.0156374i
\(203\) −0.0421695 0.0264969i −0.00295972 0.00185971i
\(204\) −0.132332 0.0637278i −0.00926510 0.00446184i
\(205\) −2.67841 + 7.83376i −0.187069 + 0.547133i
\(206\) −5.98427 + 12.4265i −0.416944 + 0.865792i
\(207\) −2.04525 + 18.1521i −0.142155 + 1.26166i
\(208\) −3.15525 + 3.15525i −0.218777 + 0.218777i
\(209\) −1.26533 −0.0875250
\(210\) 0.0834276 0.0196707i 0.00575705 0.00135740i
\(211\) −5.67756 11.7896i −0.390859 0.811628i −0.999830 0.0184352i \(-0.994132\pi\)
0.608971 0.793193i \(-0.291583\pi\)
\(212\) 2.04997 1.28808i 0.140792 0.0884656i
\(213\) 0.430754 + 0.270661i 0.0295148 + 0.0185454i
\(214\) −1.23112 −0.0841577
\(215\) −13.2320 6.31775i −0.902415 0.430867i
\(216\) −0.325364 −0.0221382
\(217\) −4.96405 3.11912i −0.336982 0.211740i
\(218\) 9.57142 6.01412i 0.648258 0.407328i
\(219\) −0.194375 0.403624i −0.0131346 0.0272744i
\(220\) 2.59280 4.19269i 0.174807 0.282671i
\(221\) 12.0801 0.812598
\(222\) −0.0622023 + 0.0622023i −0.00417474 + 0.00417474i
\(223\) −2.56500 + 22.7650i −0.171765 + 1.52446i 0.551667 + 0.834064i \(0.313992\pi\)
−0.723433 + 0.690395i \(0.757437\pi\)
\(224\) −0.306559 + 0.636577i −0.0204829 + 0.0425331i
\(225\) −14.9837 + 0.214360i −0.998917 + 0.0142906i
\(226\) 6.30247 + 3.03511i 0.419234 + 0.201892i
\(227\) −5.48775 3.44818i −0.364235 0.228864i 0.337463 0.941339i \(-0.390431\pi\)
−0.701697 + 0.712475i \(0.747574\pi\)
\(228\) 0.0309434 + 0.00348648i 0.00204928 + 0.000230898i
\(229\) 13.1562 3.00281i 0.869385 0.198432i 0.235515 0.971871i \(-0.424322\pi\)
0.633870 + 0.773439i \(0.281465\pi\)
\(230\) 9.70567 + 9.56782i 0.639973 + 0.630883i
\(231\) 0.0526905 0.0660718i 0.00346678 0.00434720i
\(232\) 0.0700448 0.00789215i 0.00459867 0.000518145i
\(233\) −7.13972 + 4.48619i −0.467739 + 0.293900i −0.745205 0.666836i \(-0.767648\pi\)
0.277466 + 0.960735i \(0.410505\pi\)
\(234\) 12.0491 5.80252i 0.787671 0.379322i
\(235\) −4.10707 5.07520i −0.267916 0.331070i
\(236\) −1.07220 + 4.69760i −0.0697941 + 0.305788i
\(237\) −0.0533533 0.0849113i −0.00346567 0.00551558i
\(238\) 1.80544 0.631750i 0.117029 0.0409503i
\(239\) −7.28680 15.1312i −0.471344 0.978756i −0.992147 0.125079i \(-0.960082\pi\)
0.520803 0.853677i \(-0.325633\pi\)
\(240\) −0.0749588 + 0.0953870i −0.00483857 + 0.00615721i
\(241\) 3.09029 + 2.46443i 0.199063 + 0.158748i 0.717948 0.696096i \(-0.245081\pi\)
−0.518885 + 0.854844i \(0.673653\pi\)
\(242\) 0.687433 + 6.10114i 0.0441899 + 0.392196i
\(243\) 1.38085 + 0.483179i 0.0885814 + 0.0309960i
\(244\) 0.484760 + 2.12387i 0.0310336 + 0.135967i
\(245\) 7.64550 12.3632i 0.488453 0.789853i
\(246\) −0.0446987 0.195838i −0.00284989 0.0124862i
\(247\) −2.41736 + 0.845872i −0.153813 + 0.0538215i
\(248\) 8.24545 0.929039i 0.523586 0.0589940i
\(249\) 0.429670 + 0.206918i 0.0272292 + 0.0131129i
\(250\) −6.78167 + 8.88870i −0.428911 + 0.562171i
\(251\) 18.3639 1.15912 0.579559 0.814930i \(-0.303225\pi\)
0.579559 + 0.814930i \(0.303225\pi\)
\(252\) 1.49734 1.49734i 0.0943237 0.0943237i
\(253\) 13.3525 + 1.50446i 0.839463 + 0.0945847i
\(254\) −15.5528 + 7.48982i −0.975868 + 0.469953i
\(255\) 0.326092 0.0391057i 0.0204207 0.00244889i
\(256\) −0.222521 0.974928i −0.0139076 0.0609330i
\(257\) −14.1548 + 14.1548i −0.882952 + 0.882952i −0.993834 0.110881i \(-0.964633\pi\)
0.110881 + 0.993834i \(0.464633\pi\)
\(258\) 0.353680 0.0384872i 0.0220191 0.00239611i
\(259\) 1.14559i 0.0711837i
\(260\) 2.15063 9.74323i 0.133376 0.604250i
\(261\) −0.205960 0.0470090i −0.0127486 0.00290978i
\(262\) −5.58193 1.95320i −0.344853 0.120669i
\(263\) −1.23596 + 10.9694i −0.0762123 + 0.676403i 0.896283 + 0.443482i \(0.146257\pi\)
−0.972496 + 0.232921i \(0.925172\pi\)
\(264\) 0.119608i 0.00736139i
\(265\) −2.31394 + 4.89420i −0.142144 + 0.300648i
\(266\) −0.317051 + 0.252840i −0.0194397 + 0.0155026i
\(267\) −0.313618 0.896269i −0.0191931 0.0548508i
\(268\) −0.488102 4.33203i −0.0298156 0.264621i
\(269\) −6.30557 + 13.0937i −0.384457 + 0.798334i 0.615491 + 0.788144i \(0.288958\pi\)
−0.999948 + 0.0101898i \(0.996756\pi\)
\(270\) 0.613239 0.391469i 0.0373205 0.0238241i
\(271\) 14.8174 + 18.5804i 0.900091 + 1.12868i 0.991139 + 0.132832i \(0.0424072\pi\)
−0.0910471 + 0.995847i \(0.529021\pi\)
\(272\) −1.44033 + 2.29227i −0.0873327 + 0.138989i
\(273\) 0.0564940 0.161451i 0.00341917 0.00977143i
\(274\) 9.47493 + 7.55600i 0.572401 + 0.456475i
\(275\) 0.157680 + 11.0219i 0.00950848 + 0.664644i
\(276\) −0.322386 0.0735825i −0.0194053 0.00442914i
\(277\) 3.56591 10.1908i 0.214255 0.612306i −0.785725 0.618575i \(-0.787710\pi\)
0.999980 + 0.00626998i \(0.00199581\pi\)
\(278\) 6.20283 + 17.7267i 0.372021 + 1.06318i
\(279\) −24.2449 5.53375i −1.45151 0.331297i
\(280\) −0.188116 1.56865i −0.0112421 0.0937446i
\(281\) −16.0331 7.72113i −0.956454 0.460604i −0.110510 0.993875i \(-0.535248\pi\)
−0.845944 + 0.533271i \(0.820963\pi\)
\(282\) 0.149521 + 0.0523195i 0.00890382 + 0.00311558i
\(283\) −1.69893 2.70384i −0.100991 0.160726i 0.792406 0.609994i \(-0.208828\pi\)
−0.893397 + 0.449267i \(0.851685\pi\)
\(284\) 5.84635 7.33110i 0.346917 0.435021i
\(285\) −0.0625162 + 0.0306590i −0.00370314 + 0.00181608i
\(286\) −4.26826 8.86314i −0.252388 0.524089i
\(287\) 2.21501 + 1.39178i 0.130748 + 0.0821543i
\(288\) −0.335564 + 2.97821i −0.0197733 + 0.175493i
\(289\) −9.42849 + 2.15199i −0.554617 + 0.126588i
\(290\) −0.122523 + 0.0991509i −0.00719481 + 0.00582234i
\(291\) −0.589838 0.470380i −0.0345769 0.0275742i
\(292\) −7.79387 + 2.72719i −0.456102 + 0.159597i
\(293\) −31.7680 3.57940i −1.85591 0.209111i −0.887901 0.460034i \(-0.847837\pi\)
−0.968007 + 0.250923i \(0.919266\pi\)
\(294\) 0.352694i 0.0205695i
\(295\) −3.63117 10.1440i −0.211415 0.590604i
\(296\) 1.01092 + 1.26766i 0.0587588 + 0.0736812i
\(297\) 0.236909 0.677046i 0.0137468 0.0392862i
\(298\) −4.51178 7.18046i −0.261361 0.415953i
\(299\) 26.5150 6.05188i 1.53340 0.349989i
\(300\) 0.0265135 0.269971i 0.00153076 0.0155868i
\(301\) −2.90248 + 3.61131i −0.167296 + 0.208152i
\(302\) 2.44324 + 2.44324i 0.140593 + 0.140593i
\(303\) 0.0572968 0.0911873i 0.00329162 0.00523858i
\(304\) 0.127716 0.559562i 0.00732503 0.0320931i
\(305\) −3.46905 3.41977i −0.198637 0.195816i
\(306\) 6.34354 5.05880i 0.362636 0.289192i
\(307\) −4.09378 4.09378i −0.233645 0.233645i 0.580567 0.814212i \(-0.302831\pi\)
−0.814212 + 0.580567i \(0.802831\pi\)
\(308\) −1.10143 1.10143i −0.0627596 0.0627596i
\(309\) 0.466551 + 0.585036i 0.0265411 + 0.0332815i
\(310\) −14.4230 + 11.6717i −0.819172 + 0.662909i
\(311\) 3.82701 4.79892i 0.217010 0.272122i −0.661396 0.750037i \(-0.730036\pi\)
0.878406 + 0.477915i \(0.158607\pi\)
\(312\) 0.0799579 + 0.228506i 0.00452672 + 0.0129366i
\(313\) 13.4255 21.3665i 0.758852 1.20771i −0.214126 0.976806i \(-0.568690\pi\)
0.972978 0.230900i \(-0.0741670\pi\)
\(314\) −2.49857 + 1.99254i −0.141002 + 0.112446i
\(315\) −1.02059 + 4.62371i −0.0575040 + 0.260517i
\(316\) −1.66533 + 0.801982i −0.0936823 + 0.0451150i
\(317\) 18.2893 2.06071i 1.02723 0.115741i 0.417765 0.908555i \(-0.362814\pi\)
0.609463 + 0.792814i \(0.291385\pi\)
\(318\) −0.0147068 0.130526i −0.000824714 0.00731954i
\(319\) −0.0345793 + 0.151502i −0.00193607 + 0.00848247i
\(320\) 1.59241 + 1.56979i 0.0890183 + 0.0877539i
\(321\) −0.0289805 + 0.0601786i −0.00161753 + 0.00335884i
\(322\) 3.64632 2.29113i 0.203201 0.127680i
\(323\) −1.31565 + 0.826678i −0.0732048 + 0.0459976i
\(324\) 3.89346 8.08486i 0.216304 0.449159i
\(325\) 7.66933 + 20.9514i 0.425418 + 1.16217i
\(326\) 1.05292 4.61315i 0.0583159 0.255499i
\(327\) −0.0686668 0.609434i −0.00379728 0.0337018i
\(328\) −3.67920 + 0.414546i −0.203150 + 0.0228895i
\(329\) −1.85867 + 0.895087i −0.102472 + 0.0493477i
\(330\) −0.143909 0.225435i −0.00792195 0.0124098i
\(331\) 25.4379 20.2861i 1.39819 1.11502i 0.419955 0.907545i \(-0.362046\pi\)
0.978240 0.207478i \(-0.0665256\pi\)
\(332\) 4.67661 7.44278i 0.256662 0.408475i
\(333\) −1.60496 4.58672i −0.0879515 0.251351i
\(334\) −3.49462 + 4.38211i −0.191217 + 0.239778i
\(335\) 6.13214 + 7.57763i 0.335034 + 0.414010i
\(336\) 0.0239003 + 0.0299700i 0.00130387 + 0.00163500i
\(337\) −22.6907 22.6907i −1.23604 1.23604i −0.961606 0.274434i \(-0.911509\pi\)
−0.274434 0.961606i \(-0.588491\pi\)
\(338\) −4.88692 4.88692i −0.265814 0.265814i
\(339\) 0.296719 0.236626i 0.0161156 0.0128517i
\(340\) −0.0432980 6.05337i −0.00234816 0.328290i
\(341\) −4.07056 + 17.8343i −0.220433 + 0.965781i
\(342\) −0.915183 + 1.45651i −0.0494874 + 0.0787588i
\(343\) −6.74505 6.74505i −0.364199 0.364199i
\(344\) 0.0249633 6.55739i 0.00134593 0.353551i
\(345\) 0.696157 0.249199i 0.0374798 0.0134164i
\(346\) −4.38846 + 1.00164i −0.235925 + 0.0538484i
\(347\) 10.2499 + 16.3126i 0.550244 + 0.875708i 0.999847 0.0175204i \(-0.00557720\pi\)
−0.449602 + 0.893229i \(0.648434\pi\)
\(348\) 0.00126307 0.00360965i 6.77078e−5 0.000193498i
\(349\) 17.8209 + 22.3467i 0.953930 + 1.19619i 0.980495 + 0.196543i \(0.0629715\pi\)
−0.0265655 + 0.999647i \(0.508457\pi\)
\(350\) 2.24191 + 2.73021i 0.119835 + 0.145936i
\(351\) 1.45184i 0.0774934i
\(352\) 2.19074 + 0.246837i 0.116767 + 0.0131564i
\(353\) −35.2782 + 12.3444i −1.87767 + 0.657025i −0.904718 + 0.426010i \(0.859919\pi\)
−0.972950 + 0.231014i \(0.925796\pi\)
\(354\) 0.204385 + 0.162992i 0.0108629 + 0.00866291i
\(355\) −2.19850 + 20.8516i −0.116684 + 1.10669i
\(356\) −17.0632 + 3.89457i −0.904348 + 0.206412i
\(357\) 0.0116192 0.103123i 0.000614954 0.00545787i
\(358\) −11.7696 7.39534i −0.622044 0.390856i
\(359\) −5.90798 12.2681i −0.311812 0.647483i 0.684889 0.728647i \(-0.259851\pi\)
−0.996701 + 0.0811639i \(0.974136\pi\)
\(360\) −2.95084 6.01700i −0.155523 0.317124i
\(361\) −11.6409 + 14.5972i −0.612680 + 0.768276i
\(362\) −11.9673 19.0459i −0.628989 1.00103i
\(363\) 0.314413 + 0.110018i 0.0165024 + 0.00577444i
\(364\) −2.84053 1.36793i −0.148884 0.0716988i
\(365\) 11.4084 14.5175i 0.597144 0.759881i
\(366\) 0.115229 + 0.0263002i 0.00602310 + 0.00137473i
\(367\) −6.70937 19.1743i −0.350226 1.00089i −0.975407 0.220410i \(-0.929261\pi\)
0.625181 0.780480i \(-0.285025\pi\)
\(368\) −2.01304 + 5.75294i −0.104937 + 0.299893i
\(369\) 10.8183 + 2.46921i 0.563179 + 0.128542i
\(370\) −3.43058 1.17294i −0.178347 0.0609781i
\(371\) 1.33739 + 1.06653i 0.0694339 + 0.0553717i
\(372\) 0.148685 0.424917i 0.00770895 0.0220309i
\(373\) 9.46984 15.0712i 0.490330 0.780356i −0.506302 0.862356i \(-0.668988\pi\)
0.996632 + 0.0820004i \(0.0261309\pi\)
\(374\) −3.72120 4.66623i −0.192418 0.241285i
\(375\) 0.274850 + 0.540736i 0.0141932 + 0.0279235i
\(376\) 1.26685 2.63063i 0.0653326 0.135665i
\(377\) 0.0352163 + 0.312553i 0.00181373 + 0.0160973i
\(378\) −0.0759263 0.216985i −0.00390523 0.0111605i
\(379\) −12.3183 + 9.82350i −0.632747 + 0.504599i −0.886535 0.462661i \(-0.846895\pi\)
0.253788 + 0.967260i \(0.418323\pi\)
\(380\) 0.432532 + 1.20831i 0.0221884 + 0.0619851i
\(381\) 0.936548i 0.0479808i
\(382\) 0.600939 5.33348i 0.0307467 0.272885i
\(383\) −8.70124 3.04470i −0.444613 0.155577i 0.0986816 0.995119i \(-0.468537\pi\)
−0.543294 + 0.839542i \(0.682823\pi\)
\(384\) −0.0528938 0.0120727i −0.00269922 0.000616080i
\(385\) 3.40115 + 0.750737i 0.173339 + 0.0382611i
\(386\) 0.568484i 0.0289351i
\(387\) −6.56155 + 18.5253i −0.333542 + 0.941694i
\(388\) −9.83270 + 9.83270i −0.499180 + 0.499180i
\(389\) −4.94106 21.6482i −0.250522 1.09761i −0.931052 0.364887i \(-0.881107\pi\)
0.680530 0.732720i \(-0.261750\pi\)
\(390\) −0.425635 0.334480i −0.0215529 0.0169371i
\(391\) 14.8664 7.15926i 0.751824 0.362059i
\(392\) 6.45992 + 0.727858i 0.326275 + 0.0367624i
\(393\) −0.226873 + 0.226873i −0.0114442 + 0.0114442i
\(394\) −25.2921 −1.27420
\(395\) 2.17386 3.51524i 0.109379 0.176871i
\(396\) −5.95298 2.86680i −0.299148 0.144062i
\(397\) −26.7255 + 3.01124i −1.34131 + 0.151130i −0.753276 0.657704i \(-0.771528\pi\)
−0.588037 + 0.808834i \(0.700099\pi\)
\(398\) −23.4175 + 8.19413i −1.17381 + 0.410735i
\(399\) 0.00489575 + 0.0214497i 0.000245094 + 0.00107383i
\(400\) −4.89006 1.04276i −0.244503 0.0521380i
\(401\) −0.471041 2.06376i −0.0235227 0.103059i 0.961804 0.273740i \(-0.0882607\pi\)
−0.985326 + 0.170680i \(0.945404\pi\)
\(402\) −0.223245 0.0781167i −0.0111344 0.00389611i
\(403\) 4.14555 + 36.7928i 0.206504 + 1.83278i
\(404\) −1.55194 1.23763i −0.0772117 0.0615743i
\(405\) 2.38917 + 19.9226i 0.118719 + 0.989964i
\(406\) 0.0216088 + 0.0448710i 0.00107242 + 0.00222691i
\(407\) −3.37394 + 1.18059i −0.167240 + 0.0585198i
\(408\) 0.0781436 + 0.124365i 0.00386868 + 0.00615697i
\(409\) 0.0760593 0.333237i 0.00376089 0.0164775i −0.973013 0.230752i \(-0.925881\pi\)
0.976774 + 0.214274i \(0.0687386\pi\)
\(410\) 6.43569 5.20803i 0.317836 0.257206i
\(411\) 0.592386 0.285278i 0.0292202 0.0140717i
\(412\) 11.6783 7.33796i 0.575348 0.361515i
\(413\) −3.38303 + 0.381176i −0.166468 + 0.0187564i
\(414\) 11.3893 14.2817i 0.559752 0.701907i
\(415\) 0.140584 + 19.6547i 0.00690102 + 0.964812i
\(416\) 4.35032 0.992931i 0.213292 0.0486824i
\(417\) 1.01252 + 0.114083i 0.0495831 + 0.00558667i
\(418\) 1.07139 + 0.673198i 0.0524033 + 0.0329272i
\(419\) −32.1226 15.4694i −1.56929 0.755732i −0.571404 0.820669i \(-0.693601\pi\)
−0.997889 + 0.0649375i \(0.979315\pi\)
\(420\) −0.0811056 0.0277306i −0.00395755 0.00135311i
\(421\) −1.13130 + 2.34917i −0.0551361 + 0.114491i −0.926716 0.375761i \(-0.877381\pi\)
0.871580 + 0.490253i \(0.163096\pi\)
\(422\) −1.46510 + 13.0032i −0.0713202 + 0.632984i
\(423\) −6.18772 + 6.18772i −0.300857 + 0.300857i
\(424\) −2.42105 −0.117577
\(425\) 7.36485 + 11.3572i 0.357248 + 0.550903i
\(426\) −0.220730 0.458350i −0.0106944 0.0222071i
\(427\) −1.30328 + 0.818907i −0.0630703 + 0.0396297i
\(428\) 1.04242 + 0.654996i 0.0503873 + 0.0316604i
\(429\) −0.533716 −0.0257680
\(430\) 7.84262 + 12.3892i 0.378205 + 0.597462i
\(431\) 20.8378 1.00372 0.501862 0.864948i \(-0.332649\pi\)
0.501862 + 0.864948i \(0.332649\pi\)
\(432\) 0.275494 + 0.173104i 0.0132547 + 0.00832849i
\(433\) −3.86132 + 2.42623i −0.185563 + 0.116597i −0.621610 0.783327i \(-0.713521\pi\)
0.436047 + 0.899924i \(0.356378\pi\)
\(434\) 2.54371 + 5.28207i 0.122102 + 0.253548i
\(435\) 0.00196243 + 0.00832308i 9.40911e−5 + 0.000399061i
\(436\) −11.3041 −0.541366
\(437\) −2.47361 + 2.47361i −0.118329 + 0.118329i
\(438\) −0.0501588 + 0.445172i −0.00239668 + 0.0212711i
\(439\) −11.6770 + 24.2475i −0.557311 + 1.15727i 0.411944 + 0.911209i \(0.364850\pi\)
−0.969255 + 0.246059i \(0.920864\pi\)
\(440\) −4.42603 + 2.17060i −0.211003 + 0.103479i
\(441\) −17.5538 8.45346i −0.835895 0.402546i
\(442\) −10.2285 6.42702i −0.486522 0.305702i
\(443\) 1.30320 + 0.146835i 0.0619170 + 0.00697637i 0.142869 0.989742i \(-0.454367\pi\)
−0.0809517 + 0.996718i \(0.525796\pi\)
\(444\) 0.0857618 0.0195746i 0.00407007 0.000928968i
\(445\) 27.4745 27.8704i 1.30242 1.32118i
\(446\) 14.2836 17.9110i 0.676347 0.848112i
\(447\) −0.457197 + 0.0515137i −0.0216247 + 0.00243651i
\(448\) 0.598250 0.375906i 0.0282647 0.0177599i
\(449\) 18.1957 8.76260i 0.858710 0.413533i 0.0479066 0.998852i \(-0.484745\pi\)
0.810803 + 0.585319i \(0.199031\pi\)
\(450\) 12.8011 + 7.79033i 0.603452 + 0.367240i
\(451\) 1.81632 7.95783i 0.0855273 0.374719i
\(452\) −3.72168 5.92301i −0.175053 0.278595i
\(453\) 0.176942 0.0619147i 0.00831347 0.00290901i
\(454\) 2.81207 + 5.83932i 0.131977 + 0.274053i
\(455\) 6.99961 0.839409i 0.328147 0.0393521i
\(456\) −0.0243456 0.0194150i −0.00114009 0.000909189i
\(457\) −3.67793 32.6425i −0.172046 1.52695i −0.722080 0.691809i \(-0.756814\pi\)
0.550034 0.835142i \(-0.314615\pi\)
\(458\) −12.7373 4.45696i −0.595173 0.208260i
\(459\) −0.196004 0.858749i −0.00914867 0.0400830i
\(460\) −3.12764 13.2650i −0.145827 0.618485i
\(461\) 0.685847 + 3.00489i 0.0319431 + 0.139952i 0.988385 0.151971i \(-0.0485621\pi\)
−0.956442 + 0.291923i \(0.905705\pi\)
\(462\) −0.0797666 + 0.0279115i −0.00371108 + 0.00129856i
\(463\) −30.9718 + 3.48968i −1.43938 + 0.162179i −0.796894 0.604119i \(-0.793525\pi\)
−0.642486 + 0.766298i \(0.722097\pi\)
\(464\) −0.0635075 0.0305836i −0.00294826 0.00141981i
\(465\) 0.231010 + 0.979766i 0.0107128 + 0.0454356i
\(466\) 8.43217 0.390613
\(467\) 3.74112 3.74112i 0.173118 0.173118i −0.615230 0.788348i \(-0.710937\pi\)
0.788348 + 0.615230i \(0.210937\pi\)
\(468\) −13.2894 1.49735i −0.614300 0.0692150i
\(469\) 2.77512 1.33643i 0.128143 0.0617105i
\(470\) 0.777383 + 6.48239i 0.0358580 + 0.299010i
\(471\) 0.0385817 + 0.169037i 0.00177775 + 0.00778883i
\(472\) 3.40713 3.40713i 0.156826 0.156826i
\(473\) 13.6270 + 4.82660i 0.626570 + 0.221927i
\(474\) 0.100282i 0.00460611i
\(475\) −2.26903 1.75699i −0.104110 0.0806161i
\(476\) −1.86482 0.425633i −0.0854739 0.0195089i
\(477\) 6.84885 + 2.39652i 0.313587 + 0.109729i
\(478\) −1.88037 + 16.6888i −0.0860062 + 0.763326i
\(479\) 6.79932i 0.310669i 0.987862 + 0.155334i \(0.0496455\pi\)
−0.987862 + 0.155334i \(0.950355\pi\)
\(480\) 0.114218 0.0408860i 0.00521333 0.00186618i
\(481\) −5.65654 + 4.51094i −0.257916 + 0.205681i
\(482\) −1.30547 3.73083i −0.0594626 0.169934i
\(483\) −0.0261592 0.232170i −0.00119029 0.0105641i
\(484\) 2.66393 5.53172i 0.121088 0.251442i
\(485\) 6.70200 30.3628i 0.304322 1.37871i
\(486\) −0.912130 1.14377i −0.0413751 0.0518827i
\(487\) 10.1055 16.0828i 0.457924 0.728782i −0.535342 0.844635i \(-0.679817\pi\)
0.993266 + 0.115853i \(0.0369601\pi\)
\(488\) 0.719510 2.05624i 0.0325707 0.0930817i
\(489\) −0.200711 0.160061i −0.00907644 0.00723822i
\(490\) −13.0512 + 6.40054i −0.589594 + 0.289147i
\(491\) −19.5605 4.46455i −0.882752 0.201482i −0.242965 0.970035i \(-0.578120\pi\)
−0.639787 + 0.768553i \(0.720977\pi\)
\(492\) −0.0663446 + 0.189602i −0.00299104 + 0.00854791i
\(493\) 0.0630260 + 0.180118i 0.00283855 + 0.00811211i
\(494\) 2.49687 + 0.569894i 0.112340 + 0.0256408i
\(495\) 14.6693 1.75917i 0.659335 0.0790690i
\(496\) −7.47590 3.60020i −0.335678 0.161654i
\(497\) 6.25339 + 2.18815i 0.280503 + 0.0981521i
\(498\) −0.253725 0.403801i −0.0113697 0.0180947i
\(499\) 18.9109 23.7135i 0.846569 1.06156i −0.150764 0.988570i \(-0.548173\pi\)
0.997332 0.0729936i \(-0.0232553\pi\)
\(500\) 10.4713 3.91821i 0.468290 0.175228i
\(501\) 0.131940 + 0.273976i 0.00589463 + 0.0122403i
\(502\) −15.5491 9.77018i −0.693992 0.436064i
\(503\) −1.42272 + 12.6270i −0.0634360 + 0.563010i 0.921287 + 0.388883i \(0.127139\pi\)
−0.984723 + 0.174127i \(0.944290\pi\)
\(504\) −2.06447 + 0.471202i −0.0919588 + 0.0209890i
\(505\) 4.41413 + 0.465405i 0.196426 + 0.0207102i
\(506\) −10.5054 8.37781i −0.467024 0.372439i
\(507\) −0.353916 + 0.123841i −0.0157180 + 0.00549996i
\(508\) 17.1537 + 1.93276i 0.761074 + 0.0857524i
\(509\) 12.8944i 0.571534i 0.958299 + 0.285767i \(0.0922483\pi\)
−0.958299 + 0.285767i \(0.907752\pi\)
\(510\) −0.296915 0.140380i −0.0131476 0.00621611i
\(511\) −3.63752 4.56131i −0.160914 0.201780i
\(512\) −0.330279 + 0.943883i −0.0145964 + 0.0417141i
\(513\) 0.0993535 + 0.158120i 0.00438657 + 0.00698118i
\(514\) 19.5160 4.45440i 0.860815 0.196475i
\(515\) −13.1821 + 27.8814i −0.580875 + 1.22860i
\(516\) −0.319945 0.155581i −0.0140848 0.00684906i
\(517\) 4.55161 + 4.55161i 0.200180 + 0.200180i
\(518\) −0.609492 + 0.970001i −0.0267795 + 0.0426194i
\(519\) −0.0543429 + 0.238092i −0.00238539 + 0.0104511i
\(520\) −7.00470 + 7.10563i −0.307176 + 0.311602i
\(521\) 18.0128 14.3647i 0.789156 0.629331i −0.143683 0.989624i \(-0.545895\pi\)
0.932839 + 0.360293i \(0.117323\pi\)
\(522\) 0.149381 + 0.149381i 0.00653823 + 0.00653823i
\(523\) 17.5298 + 17.5298i 0.766527 + 0.766527i 0.977493 0.210967i \(-0.0676611\pi\)
−0.210967 + 0.977493i \(0.567661\pi\)
\(524\) 3.68719 + 4.62359i 0.161076 + 0.201982i
\(525\) 0.186230 0.0453181i 0.00812776 0.00197784i
\(526\) 6.88260 8.63050i 0.300095 0.376308i
\(527\) 7.41922 + 21.2029i 0.323186 + 0.923613i
\(528\) 0.0636355 0.101275i 0.00276938 0.00440744i
\(529\) 11.0619 8.82153i 0.480950 0.383545i
\(530\) 4.56314 2.91294i 0.198210 0.126530i
\(531\) −13.0109 + 6.26574i −0.564627 + 0.271910i
\(532\) 0.402974 0.0454043i 0.0174711 0.00196852i
\(533\) −1.84978 16.4173i −0.0801230 0.711111i
\(534\) −0.211296 + 0.925748i −0.00914367 + 0.0400610i
\(535\) −2.75280 + 0.0196900i −0.119014 + 0.000851271i
\(536\) −1.89149 + 3.92772i −0.0816999 + 0.169652i
\(537\) −0.638549 + 0.401227i −0.0275554 + 0.0173142i
\(538\) 12.3053 7.73195i 0.530520 0.333348i
\(539\) −6.21827 + 12.9124i −0.267840 + 0.556175i
\(540\) −0.727518 + 0.00520372i −0.0313074 + 0.000223933i
\(541\) −7.97409 + 34.9368i −0.342833 + 1.50205i 0.450232 + 0.892912i \(0.351341\pi\)
−0.793065 + 0.609137i \(0.791516\pi\)
\(542\) −2.66086 23.6158i −0.114294 1.01439i
\(543\) −1.21270 + 0.136638i −0.0520418 + 0.00586370i
\(544\) 2.43912 1.17462i 0.104576 0.0503614i
\(545\) 21.3056 13.6007i 0.912632 0.582591i
\(546\) −0.133732 + 0.106647i −0.00572319 + 0.00456409i
\(547\) 19.9071 31.6820i 0.851167 1.35463i −0.0825399 0.996588i \(-0.526303\pi\)
0.933707 0.358037i \(-0.116554\pi\)
\(548\) −4.00261 11.4388i −0.170983 0.488642i
\(549\) −4.07080 + 5.10463i −0.173738 + 0.217860i
\(550\) 5.73048 9.41637i 0.244348 0.401516i
\(551\) −0.0252244 0.0316303i −0.00107459 0.00134750i
\(552\) 0.233824 + 0.233824i 0.00995220 + 0.00995220i
\(553\) −0.923459 0.923459i −0.0392695 0.0392695i
\(554\) −8.44117 + 6.73161i −0.358631 + 0.285999i
\(555\) −0.138090 + 0.140080i −0.00586160 + 0.00594606i
\(556\) 4.17907 18.3097i 0.177232 0.776504i
\(557\) −11.0453 + 17.5785i −0.468006 + 0.744827i −0.994430 0.105395i \(-0.966389\pi\)
0.526425 + 0.850222i \(0.323532\pi\)
\(558\) 17.5846 + 17.5846i 0.744417 + 0.744417i
\(559\) 29.2603 + 0.111391i 1.23758 + 0.00471135i
\(560\) −0.675289 + 1.42830i −0.0285362 + 0.0603565i
\(561\) −0.315688 + 0.0720537i −0.0133283 + 0.00304211i
\(562\) 9.46772 + 15.0678i 0.399372 + 0.635596i
\(563\) −4.84254 + 13.8392i −0.204089 + 0.583252i −0.999747 0.0224937i \(-0.992839\pi\)
0.795658 + 0.605746i \(0.207125\pi\)
\(564\) −0.0987671 0.123850i −0.00415884 0.00521502i
\(565\) 14.1409 + 6.68573i 0.594913 + 0.281271i
\(566\) 3.19329i 0.134224i
\(567\) 6.30035 + 0.709879i 0.264590 + 0.0298121i
\(568\) −8.85063 + 3.09697i −0.371364 + 0.129946i
\(569\) −22.1876 17.6940i −0.930152 0.741771i 0.0361059 0.999348i \(-0.488505\pi\)
−0.966258 + 0.257577i \(0.917076\pi\)
\(570\) 0.0692455 + 0.00730092i 0.00290038 + 0.000305802i
\(571\) −11.1698 + 2.54944i −0.467444 + 0.106691i −0.449754 0.893153i \(-0.648488\pi\)
−0.0176898 + 0.999844i \(0.505631\pi\)
\(572\) −1.10143 + 9.77549i −0.0460532 + 0.408734i
\(573\) −0.246561 0.154924i −0.0103002 0.00647206i
\(574\) −1.13503 2.35691i −0.0473752 0.0983756i
\(575\) 21.8550 + 21.2385i 0.911417 + 0.885707i
\(576\) 1.86863 2.34319i 0.0778598 0.0976330i
\(577\) −7.23045 11.5072i −0.301007 0.479051i 0.661635 0.749826i \(-0.269863\pi\)
−0.962643 + 0.270775i \(0.912720\pi\)
\(578\) 9.12826 + 3.19412i 0.379686 + 0.132858i
\(579\) 0.0277882 + 0.0133821i 0.00115484 + 0.000556141i
\(580\) 0.156495 0.0187672i 0.00649809 0.000779266i
\(581\) 6.05489 + 1.38199i 0.251199 + 0.0573346i
\(582\) 0.249173 + 0.712095i 0.0103285 + 0.0295173i
\(583\) 1.76285 5.03794i 0.0730098 0.208650i
\(584\) 8.05021 + 1.83741i 0.333120 + 0.0760325i
\(585\) 26.8490 13.1672i 1.11007 0.544397i
\(586\) 24.9944 + 19.9324i 1.03251 + 0.823399i
\(587\) −10.8232 + 30.9310i −0.446722 + 1.27666i 0.471946 + 0.881628i \(0.343552\pi\)
−0.918668 + 0.395031i \(0.870734\pi\)
\(588\) 0.187645 0.298635i 0.00773833 0.0123155i
\(589\) −2.96933 3.72342i −0.122349 0.153421i
\(590\) −2.32231 + 10.5210i −0.0956081 + 0.433144i
\(591\) −0.595375 + 1.23631i −0.0244905 + 0.0508550i
\(592\) −0.181539 1.61120i −0.00746120 0.0662200i
\(593\) 0.701653 + 2.00521i 0.0288134 + 0.0823441i 0.957392 0.288793i \(-0.0932538\pi\)
−0.928578 + 0.371137i \(0.878968\pi\)
\(594\) −0.560806 + 0.447228i −0.0230102 + 0.0183500i
\(595\) 4.02688 1.44148i 0.165086 0.0590948i
\(596\) 8.48029i 0.347366i
\(597\) −0.150707 + 1.33756i −0.00616804 + 0.0547428i
\(598\) −25.6707 8.98257i −1.04975 0.367325i
\(599\) −23.6516 5.39832i −0.966377 0.220569i −0.289920 0.957051i \(-0.593629\pi\)
−0.676457 + 0.736482i \(0.736486\pi\)
\(600\) −0.166083 + 0.214485i −0.00678031 + 0.00875632i
\(601\) 22.4028i 0.913828i −0.889511 0.456914i \(-0.848955\pi\)
0.889511 0.456914i \(-0.151045\pi\)
\(602\) 4.37894 1.51357i 0.178472 0.0616885i
\(603\) 9.23870 9.23870i 0.376229 0.376229i
\(604\) −0.768868 3.36863i −0.0312848 0.137068i
\(605\) 1.63469 + 13.6312i 0.0664594 + 0.554188i
\(606\) −0.0970292 + 0.0467268i −0.00394154 + 0.00189815i
\(607\) 26.6075 + 2.99795i 1.07997 + 0.121683i 0.633974 0.773354i \(-0.281422\pi\)
0.445992 + 0.895037i \(0.352851\pi\)
\(608\) −0.405845 + 0.405845i −0.0164592 + 0.0164592i
\(609\) 0.00270202 0.000109491
\(610\) 1.11790 + 4.74125i 0.0452623 + 0.191968i
\(611\) 11.7384 + 5.65291i 0.474885 + 0.228692i
\(612\) −8.06267 + 0.908445i −0.325914 + 0.0367217i
\(613\) 16.5892 5.80480i 0.670030 0.234454i 0.0262401 0.999656i \(-0.491647\pi\)
0.643790 + 0.765202i \(0.277361\pi\)
\(614\) 1.28828 + 5.64433i 0.0519908 + 0.227787i
\(615\) −0.103079 0.437181i −0.00415655 0.0176288i
\(616\) 0.346610 + 1.51860i 0.0139653 + 0.0611861i
\(617\) −21.6372 7.57117i −0.871080 0.304804i −0.142525 0.989791i \(-0.545522\pi\)
−0.728555 + 0.684987i \(0.759808\pi\)
\(618\) −0.0837818 0.743584i −0.00337020 0.0299113i
\(619\) −26.2848 20.9614i −1.05648 0.842511i −0.0685818 0.997645i \(-0.521847\pi\)
−0.987893 + 0.155135i \(0.950419\pi\)
\(620\) 18.4220 2.20921i 0.739847 0.0887242i
\(621\) −0.860429 1.78670i −0.0345278 0.0716978i
\(622\) −5.79360 + 2.02727i −0.232302 + 0.0812861i
\(623\) −6.57911 10.4706i −0.263586 0.419495i
\(624\) 0.0538705 0.236022i 0.00215655 0.00944845i
\(625\) −15.0217 + 19.9837i −0.600869 + 0.799347i
\(626\) −22.7353 + 10.9488i −0.908686 + 0.437600i
\(627\) 0.0581271 0.0365237i 0.00232137 0.00145862i
\(628\) 3.17569 0.357815i 0.126724 0.0142784i
\(629\) −2.73679 + 3.43183i −0.109123 + 0.136836i
\(630\) 3.32413 3.37202i 0.132436 0.134345i
\(631\) −10.8414 + 2.47449i −0.431591 + 0.0985078i −0.432797 0.901491i \(-0.642473\pi\)
0.00120601 + 0.999999i \(0.499616\pi\)
\(632\) 1.83676 + 0.206953i 0.0730623 + 0.00823215i
\(633\) 0.601122 + 0.377710i 0.0238924 + 0.0150126i
\(634\) −16.5823 7.98563i −0.658569 0.317150i
\(635\) −34.6564 + 16.9961i −1.37530 + 0.674468i
\(636\) −0.0569915 + 0.118344i −0.00225986 + 0.00469265i
\(637\) −3.24784 + 28.8254i −0.128684 + 1.14210i
\(638\) 0.109883 0.109883i 0.00435030 0.00435030i
\(639\) 28.1029 1.11173
\(640\) −0.513152 2.17639i −0.0202841 0.0860294i
\(641\) 16.2442 + 33.7314i 0.641607 + 1.33231i 0.927419 + 0.374024i \(0.122022\pi\)
−0.285812 + 0.958286i \(0.592263\pi\)
\(642\) 0.0565555 0.0355362i 0.00223207 0.00140250i
\(643\) −10.2515 6.44146i −0.404280 0.254026i 0.314508 0.949255i \(-0.398160\pi\)
−0.718789 + 0.695228i \(0.755303\pi\)
\(644\) −4.30638 −0.169695
\(645\) 0.790216 0.0917143i 0.0311147 0.00361125i
\(646\) 1.55381 0.0611340
\(647\) −33.0304 20.7544i −1.29856 0.815938i −0.307783 0.951457i \(-0.599587\pi\)
−0.990775 + 0.135518i \(0.956730\pi\)
\(648\) −7.59809 + 4.77420i −0.298481 + 0.187548i
\(649\) 4.60900 + 9.57069i 0.180919 + 0.375682i
\(650\) 4.65300 21.8204i 0.182506 0.855865i
\(651\) 0.318073 0.0124663
\(652\) −3.34588 + 3.34588i −0.131035 + 0.131035i
\(653\) 1.08067 9.59120i 0.0422898 0.375332i −0.954686 0.297616i \(-0.903809\pi\)
0.996975 0.0777165i \(-0.0247629\pi\)
\(654\) −0.266097 + 0.552556i −0.0104052 + 0.0216066i
\(655\) −12.5125 4.27811i −0.488904 0.167159i
\(656\) 3.33582 + 1.60644i 0.130242 + 0.0627211i
\(657\) −20.9542 13.1664i −0.817503 0.513671i
\(658\) 2.04999 + 0.230979i 0.0799171 + 0.00900449i
\(659\) 32.2527 7.36146i 1.25639 0.286762i 0.458024 0.888940i \(-0.348557\pi\)
0.798362 + 0.602178i \(0.205700\pi\)
\(660\) 0.00191296 + 0.267446i 7.44618e−5 + 0.0104103i
\(661\) 10.6407 13.3430i 0.413874 0.518981i −0.530576 0.847637i \(-0.678024\pi\)
0.944450 + 0.328656i \(0.106596\pi\)
\(662\) −32.3317 + 3.64291i −1.25661 + 0.141586i
\(663\) −0.554939 + 0.348692i −0.0215521 + 0.0135421i
\(664\) −7.91959 + 3.81387i −0.307340 + 0.148007i
\(665\) −0.704886 + 0.570424i −0.0273343 + 0.0221201i
\(666\) −1.08132 + 4.73758i −0.0419004 + 0.183578i
\(667\) 0.228573 + 0.363772i 0.00885038 + 0.0140853i
\(668\) 5.29040 1.85119i 0.204692 0.0716247i
\(669\) −0.539278 1.11982i −0.0208497 0.0432949i
\(670\) −1.16069 9.67866i −0.0448412 0.373919i
\(671\) 3.75490 + 2.99444i 0.144956 + 0.115599i
\(672\) −0.00429194 0.0380920i −0.000165565 0.00146943i
\(673\) 46.4954 + 16.2695i 1.79227 + 0.627141i 0.999853 + 0.0171575i \(0.00546168\pi\)
0.792414 + 0.609984i \(0.208824\pi\)
\(674\) 7.14058 + 31.2849i 0.275045 + 1.20505i
\(675\) 1.36495 0.885137i 0.0525369 0.0340690i
\(676\) 1.53788 + 6.73788i 0.0591491 + 0.259149i
\(677\) 5.97652 2.09128i 0.229696 0.0803742i −0.212977 0.977057i \(-0.568316\pi\)
0.442673 + 0.896683i \(0.354030\pi\)
\(678\) −0.377132 + 0.0424926i −0.0144837 + 0.00163192i
\(679\) −8.85194 4.26287i −0.339706 0.163594i
\(680\) −3.18393 + 5.14857i −0.122098 + 0.197439i
\(681\) 0.351629 0.0134744
\(682\) 12.9351 12.9351i 0.495309 0.495309i
\(683\) −32.4470 3.65590i −1.24155 0.139889i −0.533347 0.845897i \(-0.679066\pi\)
−0.708204 + 0.706008i \(0.750494\pi\)
\(684\) 1.54982 0.746352i 0.0592587 0.0285375i
\(685\) 21.3069 + 16.7438i 0.814094 + 0.639746i
\(686\) 2.12261 + 9.29978i 0.0810418 + 0.355067i
\(687\) −0.517696 + 0.517696i −0.0197513 + 0.0197513i
\(688\) −3.50988 + 5.53902i −0.133813 + 0.211173i
\(689\) 10.8032i 0.411569i
\(690\) −0.722035 0.159375i −0.0274874 0.00606731i
\(691\) −11.5441 2.63485i −0.439156 0.100235i −0.00277458 0.999996i \(-0.500883\pi\)
−0.436382 + 0.899762i \(0.643740\pi\)
\(692\) 4.24872 + 1.48669i 0.161512 + 0.0565155i
\(693\) 0.522692 4.63902i 0.0198554 0.176222i
\(694\) 19.2656i 0.731312i
\(695\) 14.1531 + 39.5378i 0.536858 + 1.49976i
\(696\) −0.00298993 + 0.00238439i −0.000113333 + 9.03799e-5i
\(697\) −3.31052 9.46094i −0.125395 0.358359i
\(698\) −3.20022 28.4027i −0.121130 1.07506i
\(699\) 0.198493 0.412175i 0.00750769 0.0155899i
\(700\) −0.445717 3.50450i −0.0168465 0.132458i
\(701\) −9.47980 11.8873i −0.358047 0.448977i 0.569886 0.821724i \(-0.306987\pi\)
−0.927933 + 0.372747i \(0.878416\pi\)
\(702\) −0.772425 + 1.22931i −0.0291533 + 0.0463972i
\(703\) 0.307359 0.878381i 0.0115923 0.0331288i
\(704\) −1.72363 1.37455i −0.0649616 0.0518051i
\(705\) 0.335166 + 0.114596i 0.0126231 + 0.00431592i
\(706\) 36.4385 + 8.31685i 1.37138 + 0.313009i
\(707\) 0.463215 1.32379i 0.0174210 0.0497864i
\(708\) −0.0863410 0.246748i −0.00324489 0.00927337i
\(709\) −12.8592 2.93502i −0.482936 0.110227i −0.0258805 0.999665i \(-0.508239\pi\)
−0.457056 + 0.889438i \(0.651096\pi\)
\(710\) 12.9553 16.4859i 0.486202 0.618705i
\(711\) −4.99110 2.40359i −0.187181 0.0901415i
\(712\) 16.5199 + 5.78055i 0.619108 + 0.216635i
\(713\) 26.9068 + 42.8220i 1.00767 + 1.60370i
\(714\) −0.0647032 + 0.0811353i −0.00242146 + 0.00303641i
\(715\) −9.68564 19.7498i −0.362222 0.738601i
\(716\) 6.03106 + 12.5236i 0.225391 + 0.468030i
\(717\) 0.771503 + 0.484767i 0.0288123 + 0.0181040i
\(718\) −1.52457 + 13.5309i −0.0568963 + 0.504969i
\(719\) −21.9128 + 5.00146i −0.817210 + 0.186523i −0.610639 0.791909i \(-0.709087\pi\)
−0.206571 + 0.978432i \(0.566230\pi\)
\(720\) −0.702692 + 6.66468i −0.0261878 + 0.248378i
\(721\) 7.61889 + 6.07586i 0.283742 + 0.226277i
\(722\) 17.6228 6.16650i 0.655855 0.229493i
\(723\) −0.213098 0.0240104i −0.00792520 0.000892956i
\(724\) 22.4936i 0.835970i
\(725\) −0.272377 + 0.223662i −0.0101158 + 0.00830660i
\(726\) −0.207688 0.260433i −0.00770803 0.00966556i
\(727\) −3.31999 + 9.48799i −0.123132 + 0.351890i −0.988906 0.148545i \(-0.952541\pi\)
0.865774 + 0.500435i \(0.166827\pi\)
\(728\) 1.67736 + 2.66951i 0.0621672 + 0.0989386i
\(729\) 26.1682 5.97272i 0.969193 0.221212i
\(730\) −17.3836 + 6.22269i −0.643395 + 0.230312i
\(731\) 17.3222 3.88437i 0.640686 0.143669i
\(732\) −0.0835743 0.0835743i −0.00308900 0.00308900i
\(733\) 23.1288 36.8092i 0.854281 1.35958i −0.0776634 0.996980i \(-0.524746\pi\)
0.931944 0.362601i \(-0.118111\pi\)
\(734\) −4.52035 + 19.8049i −0.166849 + 0.731014i
\(735\) 0.00564082 + 0.788628i 0.000208065 + 0.0290890i
\(736\) 4.76524 3.80015i 0.175649 0.140075i
\(737\) −6.79588 6.79588i −0.250329 0.250329i
\(738\) −7.84643 7.84643i −0.288831 0.288831i
\(739\) 24.7620 + 31.0506i 0.910886 + 1.14222i 0.989387 + 0.145301i \(0.0464151\pi\)
−0.0785014 + 0.996914i \(0.525013\pi\)
\(740\) 2.28071 + 2.81833i 0.0838406 + 0.103604i
\(741\) 0.0866333 0.108635i 0.00318255 0.00399080i
\(742\) −0.564972 1.61460i −0.0207408 0.0592737i
\(743\) 15.2096 24.2059i 0.557985 0.888029i −0.441974 0.897028i \(-0.645722\pi\)
0.999960 + 0.00899924i \(0.00286458\pi\)
\(744\) −0.351964 + 0.280682i −0.0129036 + 0.0102903i
\(745\) −10.2032 15.9834i −0.373818 0.585588i
\(746\) −16.0367 + 7.72286i −0.587145 + 0.282754i
\(747\) 26.1787 2.94963i 0.957830 0.107921i
\(748\) 0.668241 + 5.93081i 0.0244333 + 0.216852i
\(749\) −0.193559 + 0.848036i −0.00707248 + 0.0309866i
\(750\) 0.0549666 0.604083i 0.00200710 0.0220580i
\(751\) 14.5378 30.1881i 0.530493 1.10158i −0.447758 0.894155i \(-0.647778\pi\)
0.978251 0.207425i \(-0.0665082\pi\)
\(752\) −2.47225 + 1.55342i −0.0901537 + 0.0566474i
\(753\) −0.843604 + 0.530071i −0.0307426 + 0.0193169i
\(754\) 0.136470 0.283383i 0.00496994 0.0103202i
\(755\) 5.50219 + 5.42403i 0.200245 + 0.197401i
\(756\) −0.0511543 + 0.224122i −0.00186046 + 0.00815122i
\(757\) −1.92549 17.0892i −0.0699831 0.621117i −0.978929 0.204202i \(-0.934540\pi\)
0.908946 0.416915i \(-0.136889\pi\)
\(758\) 15.6566 1.76407i 0.568673 0.0640741i
\(759\) −0.656815 + 0.316305i −0.0238409 + 0.0114812i
\(760\) 0.276626 1.25323i 0.0100343 0.0454594i
\(761\) −36.3763 + 29.0091i −1.31864 + 1.05158i −0.324232 + 0.945978i \(0.605106\pi\)
−0.994408 + 0.105603i \(0.966323\pi\)
\(762\) 0.498274 0.792998i 0.0180505 0.0287273i
\(763\) −2.63789 7.53865i −0.0954980 0.272918i
\(764\) −3.34641 + 4.19627i −0.121069 + 0.151816i
\(765\) 14.1033 11.4130i 0.509906 0.412638i
\(766\) 5.74767 + 7.20736i 0.207672 + 0.260412i
\(767\) 15.2033 + 15.2033i 0.548958 + 0.548958i
\(768\) 0.0383634 + 0.0383634i 0.00138432 + 0.00138432i
\(769\) 10.3986 8.29260i 0.374983 0.299039i −0.417805 0.908537i \(-0.637200\pi\)
0.792788 + 0.609498i \(0.208629\pi\)
\(770\) −2.48042 2.44519i −0.0893881 0.0881184i
\(771\) 0.241669 1.05882i 0.00870351 0.0381326i
\(772\) 0.302452 0.481349i 0.0108855 0.0173241i
\(773\) −14.8449 14.8449i −0.533932 0.533932i 0.387808 0.921740i \(-0.373232\pi\)
−0.921740 + 0.387808i \(0.873232\pi\)
\(774\) 15.4119 12.1949i 0.553969 0.438336i
\(775\) −32.0634 + 26.3288i −1.15175 + 0.945757i
\(776\) 13.5569 3.09427i 0.486664 0.111078i
\(777\) 0.0330674 + 0.0526265i 0.00118629 + 0.00188796i
\(778\) −7.33383 + 20.9589i −0.262930 + 0.751412i
\(779\) 1.32494 + 1.66143i 0.0474710 + 0.0595267i
\(780\) 0.182441 + 0.509664i 0.00653245 + 0.0182489i
\(781\) 20.6721i 0.739707i
\(782\) −16.3967 1.84746i −0.586344 0.0660650i
\(783\) 0.0216473 0.00757472i 0.000773612 0.000270698i
\(784\) −5.08252 4.05318i −0.181519 0.144756i
\(785\) −5.55496 + 4.49530i −0.198265 + 0.160444i
\(786\) 0.312803 0.0713952i 0.0111573 0.00254658i
\(787\) 4.13490 36.6982i 0.147393 1.30815i −0.674400 0.738366i \(-0.735598\pi\)
0.821794 0.569785i \(-0.192974\pi\)
\(788\) 21.4155 + 13.4562i 0.762894 + 0.479358i
\(789\) −0.259853 0.539591i −0.00925102 0.0192099i
\(790\) −3.71088 + 1.81988i −0.132027 + 0.0647483i
\(791\) 3.08156 3.86416i 0.109568 0.137394i
\(792\) 3.51530 + 5.59457i 0.124911 + 0.198794i
\(793\) 9.17535 + 3.21059i 0.325826 + 0.114011i
\(794\) 24.2312 + 11.6691i 0.859933 + 0.414122i
\(795\) −0.0349720 0.291622i −0.00124033 0.0103428i
\(796\) 24.1877 + 5.52068i 0.857310 + 0.195675i
\(797\) −11.1163 31.7687i −0.393761 1.12530i −0.954732 0.297469i \(-0.903858\pi\)
0.560971 0.827836i \(-0.310428\pi\)
\(798\) 0.00726657 0.0207667i 0.000257234 0.000735132i
\(799\) 7.70631 + 1.75892i 0.272630 + 0.0622260i
\(800\) 3.58575 + 3.48460i 0.126775 + 0.123199i
\(801\) −41.0106 32.7049i −1.44904 1.15557i
\(802\) −0.699147 + 1.99805i −0.0246877 + 0.0705535i
\(803\) −9.68506 + 15.4137i −0.341778 + 0.543937i
\(804\) 0.147466 + 0.184917i 0.00520073 + 0.00652151i
\(805\) 8.11656 5.18132i 0.286071 0.182617i
\(806\) 16.0648 33.3589i 0.565858 1.17502i
\(807\) −0.0882802 0.783508i −0.00310761 0.0275808i
\(808\) 0.655604 + 1.87361i 0.0230641 + 0.0659133i
\(809\) −29.2328 + 23.3124i −1.02777 + 0.819620i −0.983774 0.179412i \(-0.942581\pi\)
−0.0439966 + 0.999032i \(0.514009\pi\)
\(810\) 8.57652 18.1401i 0.301348 0.637378i
\(811\) 28.0499i 0.984965i 0.870322 + 0.492483i \(0.163910\pi\)
−0.870322 + 0.492483i \(0.836090\pi\)
\(812\) 0.00557618 0.0494900i 0.000195686 0.00173676i
\(813\) −1.21700 0.425848i −0.0426822 0.0149352i
\(814\) 3.48491 + 0.795408i 0.122146 + 0.0278790i
\(815\) 2.28056 10.3319i 0.0798846 0.361910i
\(816\) 0.146878i 0.00514174i
\(817\) −3.19438 + 1.99024i −0.111757 + 0.0696296i
\(818\) −0.241694 + 0.241694i −0.00845064 + 0.00845064i
\(819\) −2.10259 9.21206i −0.0734705 0.321895i
\(820\) −8.22009 + 0.985772i −0.287058 + 0.0344247i
\(821\) −35.0755 + 16.8915i −1.22414 + 0.589517i −0.930463 0.366387i \(-0.880595\pi\)
−0.293681 + 0.955903i \(0.594880\pi\)
\(822\) −0.653364 0.0736165i −0.0227887 0.00256767i
\(823\) 8.15659 8.15659i 0.284321 0.284321i −0.550509 0.834829i \(-0.685566\pi\)
0.834829 + 0.550509i \(0.185566\pi\)
\(824\) −13.7923 −0.480479
\(825\) −0.325389 0.501773i −0.0113286 0.0174695i
\(826\) 3.06729 + 1.47713i 0.106725 + 0.0513959i
\(827\) 16.0103 1.80393i 0.556734 0.0627288i 0.170885 0.985291i \(-0.445337\pi\)
0.385849 + 0.922562i \(0.373909\pi\)
\(828\) −17.2419 + 6.03320i −0.599197 + 0.209668i
\(829\) −9.64475 42.2564i −0.334976 1.46763i −0.809363 0.587309i \(-0.800187\pi\)
0.474387 0.880317i \(-0.342670\pi\)
\(830\) 10.3379 16.7169i 0.358834 0.580253i
\(831\) 0.130344 + 0.571076i 0.00452160 + 0.0198104i
\(832\) −4.21179 1.47377i −0.146017 0.0510937i
\(833\) 1.97047 + 17.4884i 0.0682728 + 0.605937i
\(834\) −0.796625 0.635287i −0.0275849 0.0219982i
\(835\) −7.74391 + 9.85434i −0.267989 + 0.341023i
\(836\) −0.549008 1.14003i −0.0189878 0.0394286i
\(837\) 2.54825 0.891671i 0.0880804 0.0308207i
\(838\) 18.9688 + 30.1886i 0.655265 + 1.04285i
\(839\) 5.41250 23.7137i 0.186860 0.818688i −0.791399 0.611300i \(-0.790647\pi\)
0.978259 0.207387i \(-0.0664961\pi\)
\(840\) 0.0539205 + 0.0666309i 0.00186044 + 0.00229899i
\(841\) 26.1236 12.5805i 0.900815 0.433809i
\(842\) 2.20773 1.38721i 0.0760834 0.0478064i
\(843\) 0.959401 0.108099i 0.0330435 0.00372311i
\(844\) 8.15864 10.2306i 0.280832 0.352152i
\(845\) −11.0054 10.8491i −0.378596 0.373219i
\(846\) 8.53136 1.94723i 0.293314 0.0669470i
\(847\) 4.31074 + 0.485704i 0.148119 + 0.0166890i
\(848\) 2.04997 + 1.28808i 0.0703961 + 0.0442328i
\(849\) 0.156092 + 0.0751699i 0.00535706 + 0.00257982i
\(850\) −0.193629 13.5347i −0.00664144 0.464237i
\(851\) −4.28780 + 8.90370i −0.146984 + 0.305215i
\(852\) −0.0569597 + 0.505532i −0.00195141 + 0.0173192i
\(853\) 5.17636 5.17636i 0.177235 0.177235i −0.612914 0.790149i \(-0.710003\pi\)
0.790149 + 0.612914i \(0.210003\pi\)
\(854\) 1.53921 0.0526706
\(855\) −2.02307 + 3.27140i −0.0691874 + 0.111880i
\(856\) −0.534163 1.10920i −0.0182573 0.0379117i
\(857\) −21.0372 + 13.2185i −0.718616 + 0.451536i −0.841062 0.540939i \(-0.818069\pi\)
0.122446 + 0.992475i \(0.460926\pi\)
\(858\) 0.451910 + 0.283954i 0.0154279 + 0.00969402i
\(859\) −51.3036 −1.75045 −0.875227 0.483712i \(-0.839288\pi\)
−0.875227 + 0.483712i \(0.839288\pi\)
\(860\) −0.0490575 14.6628i −0.00167285 0.499997i
\(861\) −0.141927 −0.00483686
\(862\) −17.6439 11.0864i −0.600954 0.377604i
\(863\) −32.5734 + 20.4672i −1.10881 + 0.696712i −0.956533 0.291626i \(-0.905804\pi\)
−0.152278 + 0.988338i \(0.548661\pi\)
\(864\) −0.141170 0.293143i −0.00480271 0.00997294i
\(865\) −9.79663 + 2.30986i −0.333095 + 0.0785376i
\(866\) 4.56030 0.154965
\(867\) 0.371011 0.371011i 0.0126002 0.0126002i
\(868\) 0.656409 5.82580i 0.0222800 0.197740i
\(869\) −1.76805 + 3.67139i −0.0599770 + 0.124543i
\(870\) 0.00276651 0.00809143i 9.37936e−5 0.000274325i
\(871\) −17.5262 8.44019i −0.593854 0.285985i
\(872\) 9.57142 + 6.01412i 0.324129 + 0.203664i
\(873\) −41.4136 4.66619i −1.40164 0.157927i
\(874\) 3.41051 0.778427i 0.115362 0.0263307i
\(875\) 5.05660 + 6.06893i 0.170944 + 0.205167i
\(876\) 0.279316 0.350252i 0.00943722 0.0118339i
\(877\) 17.2209 1.94033i 0.581508 0.0655202i 0.183689 0.982984i \(-0.441196\pi\)
0.397819 + 0.917464i \(0.369767\pi\)
\(878\) 22.7876 14.3184i 0.769044 0.483223i
\(879\) 1.56269 0.752550i 0.0527081 0.0253829i
\(880\) 4.90246 + 0.516892i 0.165262 + 0.0174244i
\(881\) 4.57655 20.0512i 0.154188 0.675541i −0.837453 0.546510i \(-0.815956\pi\)
0.991641 0.129031i \(-0.0411867\pi\)
\(882\) 10.3657 + 16.4969i 0.349032 + 0.555481i
\(883\) 14.2415 4.98330i 0.479263 0.167702i −0.0798261 0.996809i \(-0.525436\pi\)
0.559090 + 0.829107i \(0.311151\pi\)
\(884\) 5.24137 + 10.8838i 0.176286 + 0.366063i
\(885\) 0.459614 + 0.361182i 0.0154498 + 0.0121410i
\(886\) −1.02533 0.817674i −0.0344467 0.0274703i
\(887\) 5.30017 + 47.0403i 0.177962 + 1.57946i 0.692133 + 0.721770i \(0.256671\pi\)
−0.514170 + 0.857688i \(0.671900\pi\)
\(888\) −0.0830309 0.0290538i −0.00278633 0.000974980i
\(889\) 2.71400 + 11.8908i 0.0910247 + 0.398805i
\(890\) −38.0912 + 8.98119i −1.27682 + 0.301050i
\(891\) −4.40213 19.2870i −0.147477 0.646139i
\(892\) −21.6235 + 7.56639i −0.724008 + 0.253341i
\(893\) −1.66528 + 0.187632i −0.0557264 + 0.00627886i
\(894\) 0.414527 + 0.199625i 0.0138638 + 0.00667647i
\(895\) −26.4353 16.3478i −0.883634 0.546448i
\(896\) −0.706547 −0.0236041
\(897\) −1.04337 + 1.04337i −0.0348370 + 0.0348370i
\(898\) −20.0688 2.26121i −0.669703 0.0754574i
\(899\) −0.526961 + 0.253771i −0.0175751 + 0.00846374i
\(900\) −6.69434 13.4069i −0.223145 0.446896i
\(901\) −1.45847 6.39000i −0.0485888 0.212882i
\(902\) −5.77174 + 5.77174i −0.192178 + 0.192178i
\(903\) 0.0290948 0.249677i 0.000968215 0.00830873i
\(904\) 6.99521i 0.232657i
\(905\) −27.0637 42.3955i −0.899628 1.40927i
\(906\) −0.182762 0.0417142i −0.00607186 0.00138586i
\(907\) 15.5928 + 5.45615i 0.517750 + 0.181169i 0.576489 0.817105i \(-0.304422\pi\)
−0.0587392 + 0.998273i \(0.518708\pi\)
\(908\) 0.725659 6.44040i 0.0240818 0.213732i
\(909\) 5.94916i 0.197321i
\(910\) −6.37333 3.01327i −0.211274 0.0998889i
\(911\) −20.5088 + 16.3552i −0.679487 + 0.541872i −0.901289 0.433219i \(-0.857378\pi\)
0.221802 + 0.975092i \(0.428806\pi\)
\(912\) 0.0102846 + 0.0293918i 0.000340558 + 0.000973259i
\(913\) −2.16972 19.2568i −0.0718071 0.637306i
\(914\) −14.2527 + 29.5960i −0.471436 + 0.978948i
\(915\) 0.258073 + 0.0569646i 0.00853163 + 0.00188319i
\(916\) 8.41370 + 10.5504i 0.277996 + 0.348596i
\(917\) −2.22303 + 3.53793i −0.0734109 + 0.116833i
\(918\) −0.290921 + 0.831404i −0.00960181 + 0.0274404i
\(919\) 15.0553 + 12.0062i 0.496628 + 0.396048i 0.839521 0.543327i \(-0.182835\pi\)
−0.342893 + 0.939374i \(0.611407\pi\)
\(920\) −4.40917 + 12.8958i −0.145366 + 0.425163i
\(921\) 0.306228 + 0.0698945i 0.0100905 + 0.00230310i
\(922\) 1.01798 2.90921i 0.0335253 0.0958097i
\(923\) −13.8193 39.4932i −0.454867 1.29993i
\(924\) 0.0823901 + 0.0188050i 0.00271044 + 0.000618640i
\(925\) −7.68956 2.56783i −0.252831 0.0844298i
\(926\) 28.0812 + 13.5232i 0.922804 + 0.444399i
\(927\) 39.0167 + 13.6525i 1.28148 + 0.448408i
\(928\) 0.0375019 + 0.0596839i 0.00123106 + 0.00195922i
\(929\) 5.73704 7.19402i 0.188226 0.236028i −0.678760 0.734360i \(-0.737482\pi\)
0.866986 + 0.498332i \(0.166054\pi\)
\(930\) 0.325665 0.952496i 0.0106790 0.0312336i
\(931\) −1.61888 3.36164i −0.0530567 0.110173i
\(932\) −7.13972 4.48619i −0.233869 0.146950i
\(933\) −0.0372857 + 0.330920i −0.00122068 + 0.0108338i
\(934\) −5.15809 + 1.17730i −0.168778 + 0.0385224i
\(935\) −8.39526 10.3742i −0.274554 0.339274i
\(936\) 10.4558 + 8.33820i 0.341758 + 0.272543i
\(937\) −17.5917 + 6.15561i −0.574697 + 0.201095i −0.601950 0.798533i \(-0.705610\pi\)
0.0272537 + 0.999629i \(0.491324\pi\)
\(938\) −3.06078 0.344867i −0.0999381 0.0112603i
\(939\) 1.36906i 0.0446777i
\(940\) 2.79061 5.90239i 0.0910197 0.192515i
\(941\) −3.51099 4.40264i −0.114455 0.143522i 0.721304 0.692619i \(-0.243543\pi\)
−0.835759 + 0.549097i \(0.814972\pi\)
\(942\) 0.0572652 0.163655i 0.00186580 0.00533216i
\(943\) −12.0061 19.1076i −0.390972 0.622229i
\(944\) −4.69760 + 1.07220i −0.152894 + 0.0348970i
\(945\) −0.173242 0.483966i −0.00563558 0.0157434i
\(946\) −8.97040 11.3368i −0.291653 0.368591i
\(947\) 38.0962 + 38.0962i 1.23796 + 1.23796i 0.960834 + 0.277126i \(0.0893818\pi\)
0.277126 + 0.960834i \(0.410618\pi\)
\(948\) 0.0533533 0.0849113i 0.00173283 0.00275779i
\(949\) −8.19887 + 35.9216i −0.266147 + 1.16606i
\(950\) 0.986472 + 2.69488i 0.0320054 + 0.0874335i
\(951\) −0.780694 + 0.622583i −0.0253157 + 0.0201886i
\(952\) 1.35254 + 1.35254i 0.0438360 + 0.0438360i
\(953\) 17.5321 + 17.5321i 0.567921 + 0.567921i 0.931546 0.363625i \(-0.118461\pi\)
−0.363625 + 0.931546i \(0.618461\pi\)
\(954\) −4.52407 5.67300i −0.146472 0.183670i
\(955\) 1.25840 11.9353i 0.0407210 0.386218i
\(956\) 10.4711 13.1304i 0.338660 0.424666i
\(957\) −0.00278457 0.00795784i −9.00123e−5 0.000257241i
\(958\) 3.61745 5.75715i 0.116875 0.186005i
\(959\) 6.69448 5.33867i 0.216176 0.172395i
\(960\) −0.118464 0.0261486i −0.00382341 0.000843944i
\(961\) −34.1021 + 16.4227i −1.10007 + 0.529765i
\(962\) 7.18949 0.810061i 0.231798 0.0261174i
\(963\) 0.413120 + 3.66654i 0.0133126 + 0.118153i
\(964\) −0.879544 + 3.85353i −0.0283282 + 0.124114i
\(965\) 0.00909207 + 1.27114i 0.000292684 + 0.0409193i
\(966\) −0.101372 + 0.210501i −0.00326159 + 0.00677276i
\(967\) −16.6163 + 10.4407i −0.534346 + 0.335752i −0.772025 0.635592i \(-0.780756\pi\)
0.237679 + 0.971344i \(0.423613\pi\)
\(968\) −5.19867 + 3.26654i −0.167092 + 0.104991i
\(969\) 0.0365767 0.0759522i 0.00117501 0.00243994i
\(970\) −21.8288 + 22.1433i −0.700879 + 0.710978i
\(971\) −11.7202 + 51.3495i −0.376119 + 1.64788i 0.333097 + 0.942893i \(0.391906\pi\)
−0.709215 + 0.704992i \(0.750951\pi\)
\(972\) 0.163798 + 1.45374i 0.00525381 + 0.0466289i
\(973\) 13.1859 1.48570i 0.422721 0.0476293i
\(974\) −17.1132 + 8.24126i −0.548341 + 0.264067i
\(975\) −0.957074 0.741094i −0.0306509 0.0237340i
\(976\) −1.70321 + 1.35827i −0.0545185 + 0.0434771i
\(977\) 8.61601 13.7123i 0.275651 0.438695i −0.679994 0.733218i \(-0.738018\pi\)
0.955645 + 0.294522i \(0.0951605\pi\)
\(978\) 0.0847887 + 0.242312i 0.00271124 + 0.00774829i
\(979\) −24.0573 + 30.1669i −0.768875 + 0.964139i
\(980\) 14.4561 + 1.52418i 0.461783 + 0.0486882i
\(981\) −21.1231 26.4876i −0.674410 0.845684i
\(982\) 14.1870 + 14.1870i 0.452727 + 0.452727i
\(983\) −12.0669 12.0669i −0.384874 0.384874i 0.487980 0.872855i \(-0.337734\pi\)
−0.872855 + 0.487980i \(0.837734\pi\)
\(984\) 0.157050 0.125243i 0.00500657 0.00399260i
\(985\) −56.5535 + 0.404510i −1.80194 + 0.0128888i
\(986\) 0.0424629 0.186042i 0.00135229 0.00592479i
\(987\) 0.0595472 0.0947689i 0.00189541 0.00301653i
\(988\) −1.81096 1.81096i −0.0576143 0.0576143i
\(989\) 36.0751 17.2040i 1.14712 0.547055i
\(990\) −13.3568 6.31500i −0.424506 0.200704i
\(991\) −53.2302 + 12.1494i −1.69091 + 0.385940i −0.956263 0.292508i \(-0.905510\pi\)
−0.734649 + 0.678448i \(0.762653\pi\)
\(992\) 4.41460 + 7.02579i 0.140164 + 0.223069i
\(993\) −0.583017 + 1.66617i −0.0185015 + 0.0528742i
\(994\) −4.13072 5.17976i −0.131019 0.164292i
\(995\) −52.2307 + 18.6967i −1.65582 + 0.592725i
\(996\) 0.476897i 0.0151111i
\(997\) 45.6498 + 5.14350i 1.44574 + 0.162896i 0.799698 0.600402i \(-0.204993\pi\)
0.646046 + 0.763298i \(0.276421\pi\)
\(998\) −28.6287 + 10.0176i −0.906225 + 0.317102i
\(999\) 0.412451 + 0.328919i 0.0130494 + 0.0104065i
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 430.2.r.a.27.5 264
5.3 odd 4 inner 430.2.r.a.113.5 yes 264
43.8 odd 14 inner 430.2.r.a.137.5 yes 264
215.8 even 28 inner 430.2.r.a.223.5 yes 264
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
430.2.r.a.27.5 264 1.1 even 1 trivial
430.2.r.a.113.5 yes 264 5.3 odd 4 inner
430.2.r.a.137.5 yes 264 43.8 odd 14 inner
430.2.r.a.223.5 yes 264 215.8 even 28 inner