Properties

Label 380.2.v.c.7.1
Level $380$
Weight $2$
Character 380.7
Analytic conductor $3.034$
Analytic rank $0$
Dimension $216$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [380,2,Mod(7,380)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(380, base_ring=CyclotomicField(12))
 
chi = DirichletCharacter(H, H._module([6, 3, 4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("380.7");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 380 = 2^{2} \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 380.v (of order \(12\), degree \(4\), 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: \(3.03431527681\)
Analytic rank: \(0\)
Dimension: \(216\)
Relative dimension: \(54\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 7.1
Character \(\chi\) \(=\) 380.7
Dual form 380.2.v.c.163.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.41404 - 0.0219748i) q^{2} +(-0.838811 + 3.13048i) q^{3} +(1.99903 + 0.0621466i) q^{4} +(0.366696 + 2.20580i) q^{5} +(1.25491 - 4.40821i) q^{6} +(-2.07593 + 2.07593i) q^{7} +(-2.82535 - 0.131806i) q^{8} +(-6.49825 - 3.75177i) q^{9} +O(q^{10})\) \(q+(-1.41404 - 0.0219748i) q^{2} +(-0.838811 + 3.13048i) q^{3} +(1.99903 + 0.0621466i) q^{4} +(0.366696 + 2.20580i) q^{5} +(1.25491 - 4.40821i) q^{6} +(-2.07593 + 2.07593i) q^{7} +(-2.82535 - 0.131806i) q^{8} +(-6.49825 - 3.75177i) q^{9} +(-0.470052 - 3.12715i) q^{10} +0.382617i q^{11} +(-1.87136 + 6.20582i) q^{12} +(1.27715 + 4.76640i) q^{13} +(2.98107 - 2.88984i) q^{14} +(-7.21280 - 0.702308i) q^{15} +(3.99228 + 0.248466i) q^{16} +(1.29636 - 4.83808i) q^{17} +(9.10636 + 5.44796i) q^{18} +(4.01209 + 1.70385i) q^{19} +(0.595956 + 4.43225i) q^{20} +(-4.75736 - 8.23998i) q^{21} +(0.00840794 - 0.541037i) q^{22} +(3.31497 - 0.888244i) q^{23} +(2.78255 - 8.73417i) q^{24} +(-4.73107 + 1.61771i) q^{25} +(-1.70121 - 6.76796i) q^{26} +(10.3206 - 10.3206i) q^{27} +(-4.27887 + 4.02084i) q^{28} +(1.02916 + 0.594185i) q^{29} +(10.1838 + 1.15159i) q^{30} +2.46502i q^{31} +(-5.63979 - 0.439072i) q^{32} +(-1.19778 - 0.320944i) q^{33} +(-1.93942 + 6.81276i) q^{34} +(-5.34031 - 3.81784i) q^{35} +(-12.7571 - 7.90375i) q^{36} +(-2.57686 - 2.57686i) q^{37} +(-5.63583 - 2.49748i) q^{38} -15.9924 q^{39} +(-0.745309 - 6.28049i) q^{40} +(0.810401 + 1.40366i) q^{41} +(6.54603 + 11.7562i) q^{42} +(-0.0963050 + 0.359415i) q^{43} +(-0.0237784 + 0.764865i) q^{44} +(5.89275 - 15.7096i) q^{45} +(-4.70703 + 1.18317i) q^{46} +(-2.83976 - 10.5981i) q^{47} +(-4.12658 + 12.2893i) q^{48} -1.61898i q^{49} +(6.72548 - 2.18355i) q^{50} +(14.0581 + 8.11646i) q^{51} +(2.25686 + 9.60757i) q^{52} +(2.23556 + 8.34321i) q^{53} +(-14.8206 + 14.3670i) q^{54} +(-0.843976 + 0.140304i) q^{55} +(6.13886 - 5.59162i) q^{56} +(-8.69926 + 11.1306i) q^{57} +(-1.44222 - 0.862818i) q^{58} +(-3.30279 - 5.72059i) q^{59} +(-14.3750 - 1.85219i) q^{60} +(2.88885 - 5.00364i) q^{61} +(0.0541684 - 3.48565i) q^{62} +(21.2783 - 5.70151i) q^{63} +(7.96525 + 0.744799i) q^{64} +(-10.0454 + 4.56496i) q^{65} +(1.68666 + 0.480149i) q^{66} +(2.12225 + 7.92033i) q^{67} +(2.89214 - 9.59092i) q^{68} +11.1225i q^{69} +(7.46754 + 5.51595i) q^{70} +(-1.58734 + 0.916453i) q^{71} +(17.8654 + 11.4566i) q^{72} +(-7.26822 - 1.94752i) q^{73} +(3.58716 + 3.70041i) q^{74} +(-1.09576 - 16.1675i) q^{75} +(7.91442 + 3.65539i) q^{76} +(-0.794287 - 0.794287i) q^{77} +(22.6140 + 0.351430i) q^{78} +(4.53497 + 7.85481i) q^{79} +(0.915887 + 8.89726i) q^{80} +(12.3962 + 21.4709i) q^{81} +(-1.11510 - 2.00264i) q^{82} +(-2.75477 - 2.75477i) q^{83} +(-8.99803 - 16.7677i) q^{84} +(11.1472 + 1.08540i) q^{85} +(0.144077 - 0.506112i) q^{86} +(-2.72335 + 2.72335i) q^{87} +(0.0504314 - 1.08103i) q^{88} +(-5.52018 - 3.18708i) q^{89} +(-8.67781 + 22.0845i) q^{90} +(-12.5460 - 7.24344i) q^{91} +(6.68194 - 1.56962i) q^{92} +(-7.71672 - 2.06769i) q^{93} +(3.78265 + 15.0486i) q^{94} +(-2.28713 + 9.47465i) q^{95} +(6.10522 - 17.2870i) q^{96} +(-2.66173 + 9.93369i) q^{97} +(-0.0355767 + 2.28930i) q^{98} +(1.43549 - 2.48634i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 216 q + 12 q^{6} - 36 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 216 q + 12 q^{6} - 36 q^{8} + 4 q^{10} - 20 q^{12} - 8 q^{13} + 8 q^{16} - 16 q^{17} + 12 q^{18} - 48 q^{20} + 40 q^{21} + 16 q^{22} - 16 q^{25} + 24 q^{26} + 8 q^{28} - 12 q^{30} - 20 q^{32} + 20 q^{33} - 56 q^{36} - 32 q^{37} - 18 q^{38} - 48 q^{41} + 54 q^{42} - 104 q^{45} - 24 q^{46} - 4 q^{48} + 8 q^{50} - 14 q^{52} - 16 q^{53} - 16 q^{56} + 12 q^{57} - 136 q^{58} + 50 q^{60} - 84 q^{61} + 42 q^{62} - 56 q^{65} + 28 q^{68} - 130 q^{70} + 80 q^{72} - 36 q^{73} + 96 q^{77} + 36 q^{78} + 6 q^{80} + 76 q^{81} - 16 q^{85} + 88 q^{86} + 104 q^{88} - 86 q^{90} + 28 q^{92} - 84 q^{93} - 128 q^{96} + 12 q^{97} + 34 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(77\) \(191\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{4}\right)\) \(-1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.41404 0.0219748i −0.999879 0.0155385i
\(3\) −0.838811 + 3.13048i −0.484288 + 1.80739i 0.0989601 + 0.995091i \(0.468448\pi\)
−0.583248 + 0.812294i \(0.698218\pi\)
\(4\) 1.99903 + 0.0621466i 0.999517 + 0.0310733i
\(5\) 0.366696 + 2.20580i 0.163992 + 0.986462i
\(6\) 1.25491 4.40821i 0.512313 1.79964i
\(7\) −2.07593 + 2.07593i −0.784628 + 0.784628i −0.980608 0.195980i \(-0.937211\pi\)
0.195980 + 0.980608i \(0.437211\pi\)
\(8\) −2.82535 0.131806i −0.998914 0.0466006i
\(9\) −6.49825 3.75177i −2.16608 1.25059i
\(10\) −0.470052 3.12715i −0.148644 0.988891i
\(11\) 0.382617i 0.115363i 0.998335 + 0.0576817i \(0.0183709\pi\)
−0.998335 + 0.0576817i \(0.981629\pi\)
\(12\) −1.87136 + 6.20582i −0.540215 + 1.79146i
\(13\) 1.27715 + 4.76640i 0.354219 + 1.32196i 0.881465 + 0.472249i \(0.156558\pi\)
−0.527246 + 0.849712i \(0.676776\pi\)
\(14\) 2.98107 2.88984i 0.796725 0.772341i
\(15\) −7.21280 0.702308i −1.86234 0.181335i
\(16\) 3.99228 + 0.248466i 0.998069 + 0.0621166i
\(17\) 1.29636 4.83808i 0.314413 1.17341i −0.610121 0.792308i \(-0.708879\pi\)
0.924534 0.381098i \(-0.124454\pi\)
\(18\) 9.10636 + 5.44796i 2.14639 + 1.28410i
\(19\) 4.01209 + 1.70385i 0.920437 + 0.390890i
\(20\) 0.595956 + 4.43225i 0.133260 + 0.991081i
\(21\) −4.75736 8.23998i −1.03814 1.79811i
\(22\) 0.00840794 0.541037i 0.00179258 0.115350i
\(23\) 3.31497 0.888244i 0.691219 0.185212i 0.103925 0.994585i \(-0.466860\pi\)
0.587294 + 0.809374i \(0.300193\pi\)
\(24\) 2.78255 8.73417i 0.567987 1.78285i
\(25\) −4.73107 + 1.61771i −0.946214 + 0.323543i
\(26\) −1.70121 6.76796i −0.333634 1.32731i
\(27\) 10.3206 10.3206i 1.98621 1.98621i
\(28\) −4.27887 + 4.02084i −0.808630 + 0.759868i
\(29\) 1.02916 + 0.594185i 0.191110 + 0.110337i 0.592502 0.805569i \(-0.298140\pi\)
−0.401392 + 0.915906i \(0.631474\pi\)
\(30\) 10.1838 + 1.15159i 1.85929 + 0.210251i
\(31\) 2.46502i 0.442731i 0.975191 + 0.221366i \(0.0710514\pi\)
−0.975191 + 0.221366i \(0.928949\pi\)
\(32\) −5.63979 0.439072i −0.996983 0.0776176i
\(33\) −1.19778 0.320944i −0.208506 0.0558691i
\(34\) −1.93942 + 6.81276i −0.332608 + 1.16838i
\(35\) −5.34031 3.81784i −0.902678 0.645333i
\(36\) −12.7571 7.90375i −2.12618 1.31729i
\(37\) −2.57686 2.57686i −0.423633 0.423633i 0.462820 0.886452i \(-0.346838\pi\)
−0.886452 + 0.462820i \(0.846838\pi\)
\(38\) −5.63583 2.49748i −0.914252 0.405145i
\(39\) −15.9924 −2.56084
\(40\) −0.745309 6.28049i −0.117844 0.993032i
\(41\) 0.810401 + 1.40366i 0.126563 + 0.219214i 0.922343 0.386372i \(-0.126272\pi\)
−0.795780 + 0.605586i \(0.792939\pi\)
\(42\) 6.54603 + 11.7562i 1.01007 + 1.81403i
\(43\) −0.0963050 + 0.359415i −0.0146864 + 0.0548103i −0.972880 0.231310i \(-0.925699\pi\)
0.958194 + 0.286120i \(0.0923656\pi\)
\(44\) −0.0237784 + 0.764865i −0.00358472 + 0.115308i
\(45\) 5.89275 15.7096i 0.878439 2.34184i
\(46\) −4.70703 + 1.18317i −0.694014 + 0.174449i
\(47\) −2.83976 10.5981i −0.414222 1.54590i −0.786390 0.617731i \(-0.788052\pi\)
0.372168 0.928165i \(-0.378614\pi\)
\(48\) −4.12658 + 12.2893i −0.595621 + 1.77381i
\(49\) 1.61898i 0.231282i
\(50\) 6.72548 2.18355i 0.951127 0.308801i
\(51\) 14.0581 + 8.11646i 1.96853 + 1.13653i
\(52\) 2.25686 + 9.60757i 0.312970 + 1.33233i
\(53\) 2.23556 + 8.34321i 0.307077 + 1.14603i 0.931142 + 0.364656i \(0.118813\pi\)
−0.624065 + 0.781372i \(0.714520\pi\)
\(54\) −14.8206 + 14.3670i −2.01683 + 1.95510i
\(55\) −0.843976 + 0.140304i −0.113802 + 0.0189186i
\(56\) 6.13886 5.59162i 0.820340 0.747212i
\(57\) −8.69926 + 11.1306i −1.15225 + 1.47428i
\(58\) −1.44222 0.862818i −0.189372 0.113294i
\(59\) −3.30279 5.72059i −0.429986 0.744758i 0.566885 0.823797i \(-0.308148\pi\)
−0.996872 + 0.0790389i \(0.974815\pi\)
\(60\) −14.3750 1.85219i −1.85580 0.239116i
\(61\) 2.88885 5.00364i 0.369880 0.640651i −0.619667 0.784865i \(-0.712732\pi\)
0.989546 + 0.144214i \(0.0460655\pi\)
\(62\) 0.0541684 3.48565i 0.00687939 0.442678i
\(63\) 21.2783 5.70151i 2.68082 0.718323i
\(64\) 7.96525 + 0.744799i 0.995657 + 0.0930999i
\(65\) −10.0454 + 4.56496i −1.24598 + 0.566214i
\(66\) 1.68666 + 0.480149i 0.207613 + 0.0591022i
\(67\) 2.12225 + 7.92033i 0.259274 + 0.967622i 0.965663 + 0.259799i \(0.0836562\pi\)
−0.706389 + 0.707824i \(0.749677\pi\)
\(68\) 2.89214 9.59092i 0.350723 1.16307i
\(69\) 11.1225i 1.33900i
\(70\) 7.46754 + 5.51595i 0.892541 + 0.659282i
\(71\) −1.58734 + 0.916453i −0.188383 + 0.108763i −0.591225 0.806506i \(-0.701356\pi\)
0.402842 + 0.915269i \(0.368022\pi\)
\(72\) 17.8654 + 11.4566i 2.10545 + 1.35017i
\(73\) −7.26822 1.94752i −0.850681 0.227939i −0.192966 0.981206i \(-0.561811\pi\)
−0.657716 + 0.753266i \(0.728477\pi\)
\(74\) 3.58716 + 3.70041i 0.416999 + 0.430164i
\(75\) −1.09576 16.1675i −0.126527 1.86686i
\(76\) 7.91442 + 3.65539i 0.907847 + 0.419302i
\(77\) −0.794287 0.794287i −0.0905174 0.0905174i
\(78\) 22.6140 + 0.351430i 2.56053 + 0.0397917i
\(79\) 4.53497 + 7.85481i 0.510225 + 0.883735i 0.999930 + 0.0118468i \(0.00377104\pi\)
−0.489705 + 0.871888i \(0.662896\pi\)
\(80\) 0.915887 + 8.89726i 0.102399 + 0.994743i
\(81\) 12.3962 + 21.4709i 1.37736 + 2.38565i
\(82\) −1.11510 2.00264i −0.123142 0.221154i
\(83\) −2.75477 2.75477i −0.302375 0.302375i 0.539567 0.841942i \(-0.318588\pi\)
−0.841942 + 0.539567i \(0.818588\pi\)
\(84\) −8.99803 16.7677i −0.981765 1.82950i
\(85\) 11.1472 + 1.08540i 1.20908 + 0.117728i
\(86\) 0.144077 0.506112i 0.0155363 0.0545755i
\(87\) −2.72335 + 2.72335i −0.291974 + 0.291974i
\(88\) 0.0504314 1.08103i 0.00537600 0.115238i
\(89\) −5.52018 3.18708i −0.585138 0.337830i 0.178034 0.984024i \(-0.443026\pi\)
−0.763173 + 0.646194i \(0.776359\pi\)
\(90\) −8.67781 + 22.0845i −0.914721 + 2.32791i
\(91\) −12.5460 7.24344i −1.31518 0.759318i
\(92\) 6.68194 1.56962i 0.696640 0.163644i
\(93\) −7.71672 2.06769i −0.800186 0.214409i
\(94\) 3.78265 + 15.0486i 0.390151 + 1.55215i
\(95\) −2.28713 + 9.47465i −0.234654 + 0.972079i
\(96\) 6.10522 17.2870i 0.623112 1.76434i
\(97\) −2.66173 + 9.93369i −0.270257 + 1.00861i 0.688696 + 0.725050i \(0.258183\pi\)
−0.958953 + 0.283564i \(0.908483\pi\)
\(98\) −0.0355767 + 2.28930i −0.00359379 + 0.231254i
\(99\) 1.43549 2.48634i 0.144272 0.249887i
\(100\) −9.55810 + 2.93985i −0.955810 + 0.293985i
\(101\) −8.95094 + 15.5035i −0.890652 + 1.54265i −0.0515564 + 0.998670i \(0.516418\pi\)
−0.839095 + 0.543984i \(0.816915\pi\)
\(102\) −19.7004 11.7860i −1.95063 1.16698i
\(103\) 6.68105 + 6.68105i 0.658304 + 0.658304i 0.954979 0.296675i \(-0.0958777\pi\)
−0.296675 + 0.954979i \(0.595878\pi\)
\(104\) −2.98017 13.6351i −0.292230 1.33703i
\(105\) 16.4312 13.5153i 1.60352 1.31896i
\(106\) −2.97783 11.8468i −0.289233 1.15066i
\(107\) −7.26267 + 7.26267i −0.702109 + 0.702109i −0.964863 0.262754i \(-0.915369\pi\)
0.262754 + 0.964863i \(0.415369\pi\)
\(108\) 21.2727 19.9899i 2.04696 1.92353i
\(109\) 4.77932 2.75934i 0.457775 0.264297i −0.253333 0.967379i \(-0.581527\pi\)
0.711108 + 0.703082i \(0.248194\pi\)
\(110\) 1.19650 0.179850i 0.114082 0.0171480i
\(111\) 10.2283 5.90531i 0.970828 0.560508i
\(112\) −8.80349 + 7.77189i −0.831851 + 0.734374i
\(113\) 12.0697 12.0697i 1.13542 1.13542i 0.146156 0.989262i \(-0.453310\pi\)
0.989262 0.146156i \(-0.0466902\pi\)
\(114\) 12.5457 15.5480i 1.17501 1.45620i
\(115\) 3.17487 + 6.98643i 0.296058 + 0.651488i
\(116\) 2.02040 + 1.25175i 0.187589 + 0.116222i
\(117\) 9.58316 35.7649i 0.885964 3.30646i
\(118\) 4.54457 + 8.16174i 0.418362 + 0.751349i
\(119\) 7.35236 + 12.7347i 0.673990 + 1.16739i
\(120\) 20.2861 + 2.93496i 1.85186 + 0.267924i
\(121\) 10.8536 0.986691
\(122\) −4.19492 + 7.01188i −0.379790 + 0.634826i
\(123\) −5.07389 + 1.35955i −0.457497 + 0.122586i
\(124\) −0.153193 + 4.92767i −0.0137571 + 0.442518i
\(125\) −5.30321 9.84256i −0.474334 0.880345i
\(126\) −30.2138 + 7.59459i −2.69166 + 0.676580i
\(127\) 0.266837 + 0.995851i 0.0236780 + 0.0883675i 0.976754 0.214364i \(-0.0687680\pi\)
−0.953076 + 0.302732i \(0.902101\pi\)
\(128\) −11.2468 1.22821i −0.994090 0.108560i
\(129\) −1.04436 0.602963i −0.0919509 0.0530879i
\(130\) 14.3049 6.23430i 1.25462 0.546785i
\(131\) −8.30014 + 4.79209i −0.725187 + 0.418687i −0.816659 0.577121i \(-0.804176\pi\)
0.0914720 + 0.995808i \(0.470843\pi\)
\(132\) −2.37445 0.716015i −0.206670 0.0623211i
\(133\) −11.8659 + 4.79175i −1.02890 + 0.415498i
\(134\) −2.82690 11.2463i −0.244207 0.971534i
\(135\) 26.5497 + 18.9807i 2.28504 + 1.63360i
\(136\) −4.30036 + 13.4984i −0.368753 + 1.15748i
\(137\) −3.33250 + 0.892941i −0.284715 + 0.0762891i −0.398350 0.917233i \(-0.630417\pi\)
0.113635 + 0.993523i \(0.463750\pi\)
\(138\) 0.244415 15.7277i 0.0208060 1.33883i
\(139\) −2.05091 + 3.55228i −0.173956 + 0.301300i −0.939799 0.341727i \(-0.888988\pi\)
0.765844 + 0.643027i \(0.222322\pi\)
\(140\) −10.4382 7.96388i −0.882189 0.673071i
\(141\) 35.5593 2.99463
\(142\) 2.26471 1.26102i 0.190050 0.105823i
\(143\) −1.82371 + 0.488661i −0.152506 + 0.0408639i
\(144\) −25.0106 16.5927i −2.08422 1.38272i
\(145\) −0.933261 + 2.48800i −0.0775031 + 0.206617i
\(146\) 10.2348 + 2.91359i 0.847037 + 0.241130i
\(147\) 5.06818 + 1.35801i 0.418017 + 0.112007i
\(148\) −4.99108 5.31137i −0.410264 0.436592i
\(149\) 0.534837 0.308788i 0.0438156 0.0252969i −0.477932 0.878397i \(-0.658614\pi\)
0.521748 + 0.853100i \(0.325280\pi\)
\(150\) 1.19417 + 22.8856i 0.0975038 + 1.86860i
\(151\) 18.6269i 1.51584i 0.652348 + 0.757919i \(0.273784\pi\)
−0.652348 + 0.757919i \(0.726216\pi\)
\(152\) −11.1110 5.34280i −0.901222 0.433358i
\(153\) −26.5754 + 26.5754i −2.14849 + 2.14849i
\(154\) 1.10570 + 1.14061i 0.0891000 + 0.0919130i
\(155\) −5.43734 + 0.903915i −0.436738 + 0.0726042i
\(156\) −31.9694 0.993875i −2.55960 0.0795737i
\(157\) 0.807379 3.01318i 0.0644358 0.240478i −0.926195 0.377045i \(-0.876940\pi\)
0.990631 + 0.136567i \(0.0436069\pi\)
\(158\) −6.24004 11.2067i −0.496431 0.891556i
\(159\) −27.9935 −2.22003
\(160\) −1.09959 12.6012i −0.0869301 0.996214i
\(161\) −5.03772 + 8.72558i −0.397028 + 0.687672i
\(162\) −17.0570 30.6331i −1.34012 2.40677i
\(163\) −6.07614 6.07614i −0.475920 0.475920i 0.427904 0.903824i \(-0.359252\pi\)
−0.903824 + 0.427904i \(0.859252\pi\)
\(164\) 1.53279 + 2.85632i 0.119690 + 0.223041i
\(165\) 0.268715 2.75974i 0.0209194 0.214846i
\(166\) 3.83483 + 3.95590i 0.297640 + 0.307037i
\(167\) 3.18467 + 11.8853i 0.246437 + 0.919715i 0.972656 + 0.232251i \(0.0746092\pi\)
−0.726219 + 0.687464i \(0.758724\pi\)
\(168\) 12.3551 + 23.9079i 0.953219 + 1.84454i
\(169\) −9.82913 + 5.67485i −0.756087 + 0.436527i
\(170\) −15.7387 1.77976i −1.20711 0.136501i
\(171\) −19.6791 26.1245i −1.50490 1.99779i
\(172\) −0.214853 + 0.712498i −0.0163824 + 0.0543275i
\(173\) 7.36799 + 1.97425i 0.560178 + 0.150099i 0.527788 0.849376i \(-0.323022\pi\)
0.0323899 + 0.999475i \(0.489688\pi\)
\(174\) 3.91078 3.79109i 0.296476 0.287402i
\(175\) 6.46311 13.1796i 0.488565 0.996286i
\(176\) −0.0950675 + 1.52751i −0.00716599 + 0.115141i
\(177\) 20.6786 5.54082i 1.55430 0.416474i
\(178\) 7.73574 + 4.62797i 0.579818 + 0.346881i
\(179\) −15.3514 −1.14742 −0.573710 0.819058i \(-0.694496\pi\)
−0.573710 + 0.819058i \(0.694496\pi\)
\(180\) 12.7561 31.0378i 0.950783 2.31342i
\(181\) 11.8093 20.4543i 0.877779 1.52036i 0.0240067 0.999712i \(-0.492358\pi\)
0.853772 0.520646i \(-0.174309\pi\)
\(182\) 17.5814 + 10.5182i 1.30322 + 0.779663i
\(183\) 13.2406 + 13.2406i 0.978775 + 0.978775i
\(184\) −9.48304 + 2.07267i −0.699099 + 0.152799i
\(185\) 4.73910 6.62894i 0.348425 0.487370i
\(186\) 10.8663 + 3.09337i 0.796758 + 0.226817i
\(187\) 1.85113 + 0.496010i 0.135368 + 0.0362718i
\(188\) −5.01814 21.3625i −0.365985 1.55802i
\(189\) 42.8498i 3.11687i
\(190\) 3.44230 13.3473i 0.249731 0.968315i
\(191\) 4.50940i 0.326289i −0.986602 0.163145i \(-0.947836\pi\)
0.986602 0.163145i \(-0.0521637\pi\)
\(192\) −9.01292 + 24.3104i −0.650452 + 1.75445i
\(193\) −23.4060 6.27162i −1.68480 0.451441i −0.715761 0.698345i \(-0.753920\pi\)
−0.969040 + 0.246904i \(0.920587\pi\)
\(194\) 3.98208 13.9882i 0.285897 1.00429i
\(195\) −5.86437 35.2760i −0.419956 2.52617i
\(196\) 0.100614 3.23639i 0.00718671 0.231171i
\(197\) 14.8173 + 14.8173i 1.05569 + 1.05569i 0.998355 + 0.0573363i \(0.0182607\pi\)
0.0573363 + 0.998355i \(0.481739\pi\)
\(198\) −2.08448 + 3.48425i −0.148138 + 0.247615i
\(199\) 6.80099 11.7797i 0.482110 0.835038i −0.517680 0.855575i \(-0.673204\pi\)
0.999789 + 0.0205363i \(0.00653738\pi\)
\(200\) 13.5802 3.94703i 0.960263 0.279097i
\(201\) −26.5746 −1.87443
\(202\) 12.9977 21.7259i 0.914515 1.52863i
\(203\) −3.36995 + 0.902974i −0.236524 + 0.0633764i
\(204\) 27.5983 + 17.0988i 1.93227 + 1.19715i
\(205\) −2.79901 + 2.30229i −0.195491 + 0.160799i
\(206\) −9.30048 9.59411i −0.647995 0.668453i
\(207\) −24.8740 6.66497i −1.72886 0.463247i
\(208\) 3.91446 + 19.3461i 0.271419 + 1.34141i
\(209\) −0.651923 + 1.53510i −0.0450945 + 0.106185i
\(210\) −23.5314 + 18.7502i −1.62382 + 1.29388i
\(211\) −18.8673 + 10.8930i −1.29888 + 0.749907i −0.980210 0.197959i \(-0.936569\pi\)
−0.318667 + 0.947867i \(0.603235\pi\)
\(212\) 3.95045 + 16.8173i 0.271318 + 1.15502i
\(213\) −1.53746 5.73788i −0.105345 0.393153i
\(214\) 10.4293 10.1101i 0.712934 0.691114i
\(215\) −0.828111 0.0806329i −0.0564767 0.00549912i
\(216\) −30.5198 + 27.7991i −2.07661 + 1.89149i
\(217\) −5.11722 5.11722i −0.347379 0.347379i
\(218\) −6.81879 + 3.79680i −0.461827 + 0.257152i
\(219\) 12.1933 21.1195i 0.823949 1.42712i
\(220\) −1.69586 + 0.228023i −0.114335 + 0.0153733i
\(221\) 24.7159 1.66257
\(222\) −14.5930 + 8.12560i −0.979420 + 0.545355i
\(223\) 2.18169 8.14216i 0.146097 0.545240i −0.853608 0.520916i \(-0.825590\pi\)
0.999704 0.0243231i \(-0.00774304\pi\)
\(224\) 12.6193 10.7963i 0.843162 0.721360i
\(225\) 36.8130 + 7.23755i 2.45420 + 0.482503i
\(226\) −17.3322 + 16.8018i −1.15292 + 1.11764i
\(227\) 3.96432 3.96432i 0.263121 0.263121i −0.563200 0.826321i \(-0.690430\pi\)
0.826321 + 0.563200i \(0.190430\pi\)
\(228\) −18.0819 + 21.7098i −1.19750 + 1.43777i
\(229\) 12.1604i 0.803582i −0.915731 0.401791i \(-0.868388\pi\)
0.915731 0.401791i \(-0.131612\pi\)
\(230\) −4.33588 9.94888i −0.285899 0.656010i
\(231\) 3.15276 1.82025i 0.207436 0.119763i
\(232\) −2.82942 1.81443i −0.185760 0.119123i
\(233\) 8.61629 + 2.30873i 0.564472 + 0.151250i 0.529760 0.848148i \(-0.322282\pi\)
0.0347119 + 0.999397i \(0.488949\pi\)
\(234\) −14.3369 + 50.3624i −0.937234 + 3.29230i
\(235\) 22.3360 10.1502i 1.45704 0.662128i
\(236\) −6.24687 11.6409i −0.406636 0.757759i
\(237\) −28.3933 + 7.60797i −1.84435 + 0.494191i
\(238\) −10.1167 18.1689i −0.655769 1.17772i
\(239\) 13.6511 0.883013 0.441507 0.897258i \(-0.354444\pi\)
0.441507 + 0.897258i \(0.354444\pi\)
\(240\) −28.6210 4.59594i −1.84748 0.296667i
\(241\) −0.135564 + 0.234804i −0.00873245 + 0.0151250i −0.870359 0.492418i \(-0.836113\pi\)
0.861626 + 0.507543i \(0.169446\pi\)
\(242\) −15.3475 0.238506i −0.986572 0.0153317i
\(243\) −35.3175 + 9.46331i −2.26562 + 0.607072i
\(244\) 6.08588 9.82292i 0.389608 0.628848i
\(245\) 3.57113 0.593673i 0.228151 0.0379284i
\(246\) 7.20458 1.81096i 0.459347 0.115462i
\(247\) −2.99718 + 21.2993i −0.190706 + 1.35524i
\(248\) 0.324906 6.96457i 0.0206315 0.442250i
\(249\) 10.9345 6.31303i 0.692945 0.400072i
\(250\) 7.28268 + 14.0343i 0.460597 + 0.887609i
\(251\) 23.0108 + 13.2853i 1.45243 + 0.838562i 0.998619 0.0525351i \(-0.0167302\pi\)
0.453813 + 0.891097i \(0.350063\pi\)
\(252\) 42.8904 10.0751i 2.70184 0.634674i
\(253\) 0.339857 + 1.26837i 0.0213667 + 0.0797414i
\(254\) −0.355436 1.41404i −0.0223020 0.0887247i
\(255\) −12.7482 + 33.9856i −0.798323 + 2.12826i
\(256\) 15.8765 + 1.98389i 0.992283 + 0.123993i
\(257\) 10.3959 2.78558i 0.648480 0.173760i 0.0804385 0.996760i \(-0.474368\pi\)
0.568042 + 0.823000i \(0.307701\pi\)
\(258\) 1.46352 + 0.875565i 0.0911149 + 0.0545103i
\(259\) 10.6988 0.664788
\(260\) −20.3648 + 8.50123i −1.26297 + 0.527224i
\(261\) −4.45848 7.72232i −0.275973 0.478000i
\(262\) 11.8421 6.59382i 0.731605 0.407368i
\(263\) 1.92248 7.17481i 0.118545 0.442418i −0.880982 0.473149i \(-0.843117\pi\)
0.999528 + 0.0307317i \(0.00978374\pi\)
\(264\) 3.34184 + 1.06465i 0.205676 + 0.0655249i
\(265\) −17.5836 + 7.99061i −1.08015 + 0.490859i
\(266\) 16.8842 6.51499i 1.03524 0.399460i
\(267\) 14.6075 14.6075i 0.893964 0.893964i
\(268\) 3.75022 + 15.9649i 0.229081 + 0.975212i
\(269\) 19.9598 11.5238i 1.21697 0.702617i 0.252699 0.967545i \(-0.418682\pi\)
0.964268 + 0.264928i \(0.0853483\pi\)
\(270\) −37.1254 27.4229i −2.25938 1.66890i
\(271\) −0.689579 + 0.398129i −0.0418890 + 0.0241846i −0.520798 0.853680i \(-0.674366\pi\)
0.478909 + 0.877864i \(0.341032\pi\)
\(272\) 6.37752 18.9928i 0.386694 1.15161i
\(273\) 33.1992 33.1992i 2.00931 2.00931i
\(274\) 4.73192 1.18943i 0.285866 0.0718558i
\(275\) −0.618966 1.81019i −0.0373250 0.109158i
\(276\) −0.691227 + 22.2343i −0.0416070 + 1.33835i
\(277\) 1.91975 + 1.91975i 0.115347 + 0.115347i 0.762424 0.647078i \(-0.224009\pi\)
−0.647078 + 0.762424i \(0.724009\pi\)
\(278\) 2.97813 4.97800i 0.178616 0.298561i
\(279\) 9.24820 16.0183i 0.553675 0.958993i
\(280\) 14.5851 + 11.4906i 0.871624 + 0.686697i
\(281\) −5.15061 + 8.92111i −0.307259 + 0.532189i −0.977762 0.209718i \(-0.932745\pi\)
0.670502 + 0.741907i \(0.266079\pi\)
\(282\) −50.2824 0.781408i −2.99427 0.0465322i
\(283\) 4.04975 15.1139i 0.240733 0.898427i −0.734747 0.678341i \(-0.762699\pi\)
0.975480 0.220087i \(-0.0706340\pi\)
\(284\) −3.23011 + 1.73337i −0.191672 + 0.102857i
\(285\) −27.7418 15.1073i −1.64328 0.894876i
\(286\) 2.58954 0.650912i 0.153123 0.0384892i
\(287\) −4.59623 1.23156i −0.271307 0.0726964i
\(288\) 35.0015 + 24.0124i 2.06248 + 1.41494i
\(289\) −7.00403 4.04378i −0.412002 0.237869i
\(290\) 1.37434 3.49763i 0.0807043 0.205388i
\(291\) −28.8646 16.6650i −1.69207 0.976918i
\(292\) −14.4084 4.34484i −0.843188 0.254263i
\(293\) −0.253423 + 0.253423i −0.0148051 + 0.0148051i −0.714471 0.699665i \(-0.753332\pi\)
0.699665 + 0.714471i \(0.253332\pi\)
\(294\) −7.13678 2.03166i −0.416226 0.118489i
\(295\) 11.4073 9.38299i 0.664161 0.546299i
\(296\) 6.94089 + 7.62018i 0.403431 + 0.442914i
\(297\) 3.94885 + 3.94885i 0.229136 + 0.229136i
\(298\) −0.763068 + 0.424887i −0.0442034 + 0.0246131i
\(299\) 8.46745 + 14.6661i 0.489685 + 0.848160i
\(300\) −1.18570 32.3875i −0.0684567 1.86989i
\(301\) −0.546199 0.946044i −0.0314824 0.0545290i
\(302\) 0.409323 26.3393i 0.0235539 1.51566i
\(303\) −41.0253 41.0253i −2.35684 2.35684i
\(304\) 15.5940 + 7.79911i 0.894379 + 0.447310i
\(305\) 12.0963 + 4.53740i 0.692635 + 0.259811i
\(306\) 38.1628 36.9948i 2.18162 2.11485i
\(307\) 26.4125 + 7.07722i 1.50744 + 0.403918i 0.915585 0.402124i \(-0.131728\pi\)
0.591858 + 0.806042i \(0.298395\pi\)
\(308\) −1.53844 1.63717i −0.0876610 0.0932864i
\(309\) −26.5191 + 15.3108i −1.50862 + 0.871001i
\(310\) 7.70849 1.15869i 0.437813 0.0658092i
\(311\) 0.368335i 0.0208864i 0.999945 + 0.0104432i \(0.00332423\pi\)
−0.999945 + 0.0104432i \(0.996676\pi\)
\(312\) 45.1843 + 2.10790i 2.55806 + 0.119337i
\(313\) −0.0562718 0.210009i −0.00318067 0.0118704i 0.964317 0.264749i \(-0.0852892\pi\)
−0.967498 + 0.252879i \(0.918623\pi\)
\(314\) −1.20788 + 4.24302i −0.0681647 + 0.239448i
\(315\) 20.3791 + 44.8449i 1.14823 + 2.52672i
\(316\) 8.57742 + 15.9839i 0.482518 + 0.899162i
\(317\) −29.7951 + 7.98358i −1.67346 + 0.448403i −0.966041 0.258390i \(-0.916808\pi\)
−0.707421 + 0.706793i \(0.750141\pi\)
\(318\) 39.5840 + 0.615151i 2.21976 + 0.0344960i
\(319\) −0.227345 + 0.393774i −0.0127289 + 0.0220471i
\(320\) 1.27795 + 17.8428i 0.0714399 + 0.997445i
\(321\) −16.6437 28.8277i −0.928959 1.60900i
\(322\) 7.31529 12.2276i 0.407665 0.681420i
\(323\) 13.4445 17.2020i 0.748071 0.957146i
\(324\) 23.4461 + 43.6914i 1.30256 + 2.42730i
\(325\) −13.7530 20.4841i −0.762878 1.13625i
\(326\) 8.45840 + 8.72544i 0.468467 + 0.483258i
\(327\) 4.62913 + 17.2761i 0.255991 + 0.955372i
\(328\) −2.10466 4.07264i −0.116210 0.224874i
\(329\) 27.8961 + 16.1058i 1.53796 + 0.887944i
\(330\) −0.440620 + 3.89649i −0.0242553 + 0.214495i
\(331\) 12.0101i 0.660137i −0.943957 0.330069i \(-0.892928\pi\)
0.943957 0.330069i \(-0.107072\pi\)
\(332\) −5.33568 5.67808i −0.292833 0.311625i
\(333\) 7.07730 + 26.4128i 0.387833 + 1.44741i
\(334\) −4.24208 16.8764i −0.232116 0.923433i
\(335\) −16.6924 + 7.58560i −0.912004 + 0.414445i
\(336\) −16.9453 34.0783i −0.924443 1.85912i
\(337\) 4.72573 17.6367i 0.257427 0.960731i −0.709297 0.704910i \(-0.750987\pi\)
0.966724 0.255821i \(-0.0823459\pi\)
\(338\) 14.0235 7.80849i 0.762778 0.424726i
\(339\) 27.6597 + 47.9080i 1.50227 + 2.60201i
\(340\) 22.2161 + 2.86251i 1.20484 + 0.155241i
\(341\) −0.943161 −0.0510750
\(342\) 27.2531 + 37.3736i 1.47368 + 2.02093i
\(343\) −11.1706 11.1706i −0.603157 0.603157i
\(344\) 0.319469 1.00278i 0.0172246 0.0540664i
\(345\) −24.5340 + 4.07859i −1.32087 + 0.219584i
\(346\) −10.3753 2.95358i −0.557778 0.158785i
\(347\) −30.2986 8.11848i −1.62651 0.435823i −0.673608 0.739089i \(-0.735256\pi\)
−0.952906 + 0.303266i \(0.901923\pi\)
\(348\) −5.61333 + 5.27483i −0.300906 + 0.282761i
\(349\) 4.43958i 0.237645i 0.992915 + 0.118823i \(0.0379120\pi\)
−0.992915 + 0.118823i \(0.962088\pi\)
\(350\) −9.42873 + 18.4945i −0.503987 + 0.988575i
\(351\) 62.3733 + 36.0112i 3.32924 + 1.92214i
\(352\) 0.167996 2.15788i 0.00895424 0.115015i
\(353\) −2.71521 + 2.71521i −0.144516 + 0.144516i −0.775663 0.631147i \(-0.782584\pi\)
0.631147 + 0.775663i \(0.282584\pi\)
\(354\) −29.3622 + 7.38055i −1.56059 + 0.392272i
\(355\) −2.60358 3.16529i −0.138184 0.167996i
\(356\) −10.8370 6.71414i −0.574358 0.355849i
\(357\) −46.0329 + 12.3345i −2.43632 + 0.652810i
\(358\) 21.7076 + 0.337345i 1.14728 + 0.0178292i
\(359\) 11.2456 + 19.4779i 0.593518 + 1.02800i 0.993754 + 0.111592i \(0.0355949\pi\)
−0.400236 + 0.916412i \(0.631072\pi\)
\(360\) −18.7197 + 43.6084i −0.986616 + 2.29836i
\(361\) 13.1938 + 13.6720i 0.694410 + 0.719580i
\(362\) −17.1484 + 28.6638i −0.901297 + 1.50654i
\(363\) −9.10412 + 33.9770i −0.477842 + 1.78333i
\(364\) −24.6297 15.2596i −1.29095 0.799819i
\(365\) 1.63059 16.7464i 0.0853489 0.876545i
\(366\) −18.4318 19.0138i −0.963448 0.993865i
\(367\) 0.935565 + 3.49158i 0.0488361 + 0.182259i 0.986036 0.166535i \(-0.0532579\pi\)
−0.937199 + 0.348794i \(0.886591\pi\)
\(368\) 13.4550 2.72245i 0.701389 0.141918i
\(369\) 12.1617i 0.633115i
\(370\) −6.84695 + 9.26947i −0.355956 + 0.481897i
\(371\) −21.9608 12.6791i −1.14015 0.658264i
\(372\) −15.2975 4.61295i −0.793138 0.239170i
\(373\) −3.46331 + 3.46331i −0.179324 + 0.179324i −0.791061 0.611737i \(-0.790471\pi\)
0.611737 + 0.791061i \(0.290471\pi\)
\(374\) −2.60668 0.742057i −0.134788 0.0383709i
\(375\) 35.2604 8.34558i 1.82084 0.430964i
\(376\) 6.62643 + 30.3178i 0.341732 + 1.56352i
\(377\) −1.51773 + 5.66424i −0.0781671 + 0.291723i
\(378\) 0.941616 60.5915i 0.0484315 3.11649i
\(379\) −4.40121 −0.226075 −0.113037 0.993591i \(-0.536058\pi\)
−0.113037 + 0.993591i \(0.536058\pi\)
\(380\) −5.16086 + 18.7980i −0.264747 + 0.964318i
\(381\) −3.34132 −0.171181
\(382\) −0.0990932 + 6.37649i −0.00507005 + 0.326250i
\(383\) −1.10311 + 4.11686i −0.0563663 + 0.210362i −0.988365 0.152099i \(-0.951397\pi\)
0.931999 + 0.362461i \(0.118063\pi\)
\(384\) 13.2789 34.1778i 0.677635 1.74413i
\(385\) 1.46077 2.04330i 0.0744479 0.104136i
\(386\) 32.9593 + 9.38268i 1.67758 + 0.477566i
\(387\) 1.97426 1.97426i 0.100357 0.100357i
\(388\) −5.93823 + 19.6924i −0.301468 + 0.999729i
\(389\) 16.9167 + 9.76687i 0.857711 + 0.495200i 0.863245 0.504785i \(-0.168428\pi\)
−0.00553383 + 0.999985i \(0.501761\pi\)
\(390\) 7.51728 + 50.0107i 0.380652 + 2.53239i
\(391\) 17.1896i 0.869314i
\(392\) −0.213391 + 4.57418i −0.0107779 + 0.231031i
\(393\) −8.03931 30.0031i −0.405530 1.51346i
\(394\) −20.6267 21.2780i −1.03916 1.07197i
\(395\) −15.6631 + 12.8836i −0.788098 + 0.648242i
\(396\) 3.02411 4.88108i 0.151967 0.245283i
\(397\) −5.92651 + 22.1181i −0.297443 + 1.11007i 0.641814 + 0.766860i \(0.278182\pi\)
−0.939258 + 0.343213i \(0.888485\pi\)
\(398\) −9.87575 + 16.5075i −0.495027 + 0.827446i
\(399\) −5.04725 41.1654i −0.252679 2.06085i
\(400\) −19.2897 + 5.28285i −0.964484 + 0.264142i
\(401\) 5.26653 + 9.12189i 0.262998 + 0.455525i 0.967037 0.254636i \(-0.0819555\pi\)
−0.704039 + 0.710161i \(0.748622\pi\)
\(402\) 37.5777 + 0.583972i 1.87420 + 0.0291259i
\(403\) −11.7493 + 3.14821i −0.585274 + 0.156824i
\(404\) −18.8567 + 30.4357i −0.938157 + 1.51423i
\(405\) −42.8147 + 35.2168i −2.12748 + 1.74994i
\(406\) 4.78509 1.20279i 0.237480 0.0596935i
\(407\) 0.985950 0.985950i 0.0488717 0.0488717i
\(408\) −38.6494 24.7848i −1.91343 1.22703i
\(409\) −20.7983 12.0079i −1.02841 0.593753i −0.111882 0.993722i \(-0.535688\pi\)
−0.916529 + 0.399968i \(0.869021\pi\)
\(410\) 4.00851 3.19403i 0.197966 0.157742i
\(411\) 11.1813i 0.551535i
\(412\) 12.9404 + 13.7709i 0.637530 + 0.678442i
\(413\) 18.7319 + 5.01920i 0.921737 + 0.246979i
\(414\) 35.0264 + 9.97115i 1.72146 + 0.490055i
\(415\) 5.06629 7.08662i 0.248695 0.347868i
\(416\) −5.11008 27.4423i −0.250542 1.34547i
\(417\) −9.40002 9.40002i −0.460321 0.460321i
\(418\) 0.955580 2.15637i 0.0467390 0.105471i
\(419\) 1.54023 0.0752453 0.0376227 0.999292i \(-0.488022\pi\)
0.0376227 + 0.999292i \(0.488022\pi\)
\(420\) 33.6865 25.9965i 1.64373 1.26850i
\(421\) 13.1114 + 22.7096i 0.639011 + 1.10680i 0.985650 + 0.168800i \(0.0539894\pi\)
−0.346640 + 0.937998i \(0.612677\pi\)
\(422\) 26.9185 14.9886i 1.31037 0.729634i
\(423\) −21.3082 + 79.5234i −1.03604 + 3.86656i
\(424\) −5.21655 23.8672i −0.253338 1.15909i
\(425\) 1.69347 + 24.9864i 0.0821451 + 1.21202i
\(426\) 2.04795 + 8.14739i 0.0992233 + 0.394743i
\(427\) 4.39015 + 16.3843i 0.212454 + 0.792891i
\(428\) −14.9697 + 14.0670i −0.723586 + 0.679953i
\(429\) 6.11898i 0.295427i
\(430\) 1.16921 + 0.132216i 0.0563844 + 0.00637602i
\(431\) −12.7394 7.35512i −0.613638 0.354284i 0.160750 0.986995i \(-0.448609\pi\)
−0.774388 + 0.632711i \(0.781942\pi\)
\(432\) 43.7671 38.6385i 2.10575 1.85899i
\(433\) 4.12992 + 15.4131i 0.198471 + 0.740706i 0.991341 + 0.131314i \(0.0419196\pi\)
−0.792869 + 0.609392i \(0.791414\pi\)
\(434\) 7.12352 + 7.34842i 0.341940 + 0.352735i
\(435\) −7.00581 5.00852i −0.335903 0.240140i
\(436\) 9.72550 5.21899i 0.465767 0.249945i
\(437\) 14.8134 + 2.08450i 0.708621 + 0.0997151i
\(438\) −17.7060 + 29.5959i −0.846025 + 1.41415i
\(439\) −7.64108 13.2347i −0.364689 0.631659i 0.624037 0.781394i \(-0.285491\pi\)
−0.988726 + 0.149735i \(0.952158\pi\)
\(440\) 2.40302 0.285168i 0.114560 0.0135949i
\(441\) −6.07402 + 10.5205i −0.289239 + 0.500977i
\(442\) −34.9493 0.543126i −1.66237 0.0258339i
\(443\) 33.4341 8.95865i 1.58850 0.425638i 0.646959 0.762525i \(-0.276041\pi\)
0.941545 + 0.336886i \(0.109374\pi\)
\(444\) 20.8137 11.1693i 0.987776 0.530070i
\(445\) 5.00582 13.3451i 0.237298 0.632618i
\(446\) −3.26392 + 11.4654i −0.154551 + 0.542904i
\(447\) 0.518030 + 1.93331i 0.0245020 + 0.0914427i
\(448\) −18.0815 + 14.9892i −0.854269 + 0.708171i
\(449\) 30.3359i 1.43164i −0.698284 0.715820i \(-0.746053\pi\)
0.698284 0.715820i \(-0.253947\pi\)
\(450\) −51.8960 11.0432i −2.44640 0.520580i
\(451\) −0.537063 + 0.310073i −0.0252893 + 0.0146008i
\(452\) 24.8777 23.3776i 1.17015 1.09959i
\(453\) −58.3113 15.6245i −2.73970 0.734102i
\(454\) −5.69283 + 5.51860i −0.267178 + 0.259001i
\(455\) 11.3770 30.3301i 0.533360 1.42189i
\(456\) 26.0456 30.3012i 1.21970 1.41899i
\(457\) 20.6887 + 20.6887i 0.967778 + 0.967778i 0.999497 0.0317189i \(-0.0100981\pi\)
−0.0317189 + 0.999497i \(0.510098\pi\)
\(458\) −0.267222 + 17.1953i −0.0124865 + 0.803485i
\(459\) −36.5528 63.3113i −1.70614 2.95512i
\(460\) 5.91249 + 14.1634i 0.275671 + 0.660373i
\(461\) 5.12738 + 8.88089i 0.238806 + 0.413624i 0.960372 0.278721i \(-0.0899106\pi\)
−0.721566 + 0.692346i \(0.756577\pi\)
\(462\) −4.49814 + 2.50463i −0.209272 + 0.116526i
\(463\) −3.72174 3.72174i −0.172964 0.172964i 0.615316 0.788280i \(-0.289028\pi\)
−0.788280 + 0.615316i \(0.789028\pi\)
\(464\) 3.96105 + 2.62786i 0.183887 + 0.121995i
\(465\) 1.73121 17.7797i 0.0802827 0.824515i
\(466\) −12.1331 3.45398i −0.562054 0.160003i
\(467\) 18.3562 18.3562i 0.849422 0.849422i −0.140639 0.990061i \(-0.544916\pi\)
0.990061 + 0.140639i \(0.0449156\pi\)
\(468\) 21.3797 70.8996i 0.988279 3.27734i
\(469\) −20.8477 12.0364i −0.962657 0.555790i
\(470\) −31.8071 + 13.8620i −1.46715 + 0.639408i
\(471\) 8.75547 + 5.05497i 0.403431 + 0.232921i
\(472\) 8.57753 + 16.5980i 0.394813 + 0.763986i
\(473\) −0.137518 0.0368480i −0.00632311 0.00169427i
\(474\) 40.3166 10.1341i 1.85180 0.465473i
\(475\) −21.7378 1.57061i −0.997400 0.0720647i
\(476\) 13.9062 + 25.9140i 0.637390 + 1.18776i
\(477\) 16.7746 62.6036i 0.768055 2.86642i
\(478\) −19.3032 0.299979i −0.882906 0.0137207i
\(479\) −0.734895 + 1.27287i −0.0335782 + 0.0581591i −0.882326 0.470638i \(-0.844024\pi\)
0.848748 + 0.528798i \(0.177357\pi\)
\(480\) 40.3703 + 7.12780i 1.84264 + 0.325338i
\(481\) 8.99129 15.5734i 0.409968 0.710085i
\(482\) 0.196853 0.329044i 0.00896641 0.0149875i
\(483\) −23.0896 23.0896i −1.05061 1.05061i
\(484\) 21.6967 + 0.674515i 0.986215 + 0.0306598i
\(485\) −22.8877 2.22857i −1.03928 0.101194i
\(486\) 50.1485 12.6054i 2.27478 0.571794i
\(487\) 5.60442 5.60442i 0.253961 0.253961i −0.568632 0.822592i \(-0.692527\pi\)
0.822592 + 0.568632i \(0.192527\pi\)
\(488\) −8.82155 + 13.7563i −0.399333 + 0.622718i
\(489\) 24.1180 13.9245i 1.09065 0.629689i
\(490\) −5.06278 + 0.761004i −0.228713 + 0.0343787i
\(491\) 14.3254 8.27078i 0.646496 0.373255i −0.140616 0.990064i \(-0.544908\pi\)
0.787113 + 0.616809i \(0.211575\pi\)
\(492\) −10.2274 + 2.40245i −0.461086 + 0.108311i
\(493\) 4.20887 4.20887i 0.189558 0.189558i
\(494\) 4.70619 30.0523i 0.211741 1.35212i
\(495\) 6.01076 + 2.25467i 0.270163 + 0.101340i
\(496\) −0.612476 + 9.84106i −0.0275010 + 0.441876i
\(497\) 1.39272 5.19771i 0.0624721 0.233149i
\(498\) −15.6006 + 8.68661i −0.699078 + 0.389256i
\(499\) 10.6707 + 18.4821i 0.477685 + 0.827374i 0.999673 0.0255788i \(-0.00814288\pi\)
−0.521988 + 0.852953i \(0.674810\pi\)
\(500\) −9.98962 20.0052i −0.446749 0.894659i
\(501\) −39.8782 −1.78163
\(502\) −32.2464 19.2917i −1.43923 0.861029i
\(503\) 7.45551 1.99770i 0.332425 0.0890729i −0.0887461 0.996054i \(-0.528286\pi\)
0.421171 + 0.906981i \(0.361619\pi\)
\(504\) −60.8703 + 13.3042i −2.71138 + 0.592615i
\(505\) −37.4798 14.0589i −1.66783 0.625612i
\(506\) −0.452701 1.80099i −0.0201250 0.0800638i
\(507\) −9.52025 35.5300i −0.422809 1.57794i
\(508\) 0.471528 + 2.00732i 0.0209207 + 0.0890605i
\(509\) 11.2167 + 6.47597i 0.497172 + 0.287042i 0.727545 0.686060i \(-0.240661\pi\)
−0.230373 + 0.973102i \(0.573995\pi\)
\(510\) 18.7733 47.7770i 0.831297 2.11560i
\(511\) 19.1312 11.0454i 0.846316 0.488621i
\(512\) −22.4065 3.15419i −0.990237 0.139397i
\(513\) 58.9921 23.8225i 2.60457 1.05179i
\(514\) −14.7615 + 3.71048i −0.651102 + 0.163662i
\(515\) −12.2871 + 17.1870i −0.541435 + 0.757348i
\(516\) −2.05024 1.27025i −0.0902569 0.0559195i
\(517\) 4.05503 1.08654i 0.178340 0.0477860i
\(518\) −15.1285 0.235103i −0.664708 0.0103298i
\(519\) −12.3607 + 21.4094i −0.542575 + 0.939767i
\(520\) 28.9834 11.5736i 1.27101 0.507535i
\(521\) −38.3824 −1.68156 −0.840781 0.541376i \(-0.817904\pi\)
−0.840781 + 0.541376i \(0.817904\pi\)
\(522\) 6.13479 + 11.0177i 0.268513 + 0.482230i
\(523\) 21.2784 5.70153i 0.930440 0.249311i 0.238397 0.971168i \(-0.423378\pi\)
0.692042 + 0.721857i \(0.256711\pi\)
\(524\) −16.8901 + 9.06372i −0.737846 + 0.395951i
\(525\) 35.8373 + 31.2879i 1.56407 + 1.36551i
\(526\) −2.87614 + 10.1032i −0.125406 + 0.440522i
\(527\) 11.9260 + 3.19556i 0.519504 + 0.139201i
\(528\) −4.70211 1.57890i −0.204633 0.0687129i
\(529\) −9.71853 + 5.61100i −0.422545 + 0.243956i
\(530\) 25.0396 10.9127i 1.08765 0.474016i
\(531\) 49.5651i 2.15094i
\(532\) −24.0181 + 8.84145i −1.04132 + 0.383325i
\(533\) −5.65538 + 5.65538i −0.244962 + 0.244962i
\(534\) −20.9766 + 20.3346i −0.907747 + 0.879965i
\(535\) −18.6832 13.3568i −0.807743 0.577463i
\(536\) −4.95215 22.6575i −0.213900 0.978653i
\(537\) 12.8770 48.0574i 0.555682 2.07383i
\(538\) −28.4772 + 15.8565i −1.22774 + 0.683622i
\(539\) 0.619449 0.0266815
\(540\) 51.8942 + 39.5930i 2.23317 + 1.70381i
\(541\) −0.793165 + 1.37380i −0.0341008 + 0.0590644i −0.882572 0.470177i \(-0.844190\pi\)
0.848471 + 0.529241i \(0.177523\pi\)
\(542\) 0.983843 0.547818i 0.0422597 0.0235308i
\(543\) 54.1262 + 54.1262i 2.32278 + 2.32278i
\(544\) −9.43546 + 26.7165i −0.404542 + 1.14546i
\(545\) 7.83909 + 9.53035i 0.335790 + 0.408235i
\(546\) −47.6746 + 46.2155i −2.04028 + 1.97784i
\(547\) −3.07026 11.4584i −0.131275 0.489924i 0.868711 0.495320i \(-0.164949\pi\)
−0.999985 + 0.00539580i \(0.998282\pi\)
\(548\) −6.71728 + 1.57792i −0.286948 + 0.0674052i
\(549\) −37.5450 + 21.6766i −1.60238 + 0.925135i
\(550\) 0.835465 + 2.57329i 0.0356244 + 0.109725i
\(551\) 3.11668 + 4.13746i 0.132775 + 0.176262i
\(552\) 1.46602 31.4251i 0.0623979 1.33754i
\(553\) −25.7203 6.89174i −1.09374 0.293067i
\(554\) −2.67242 2.75679i −0.113540 0.117125i
\(555\) 16.7766 + 20.3961i 0.712127 + 0.865766i
\(556\) −4.32060 + 6.97367i −0.183234 + 0.295749i
\(557\) −16.2368 + 4.35063i −0.687974 + 0.184342i −0.585838 0.810428i \(-0.699234\pi\)
−0.102136 + 0.994770i \(0.532568\pi\)
\(558\) −13.4293 + 22.4474i −0.568509 + 0.950274i
\(559\) −1.83611 −0.0776593
\(560\) −20.3714 16.5688i −0.860849 0.700158i
\(561\) −3.10550 + 5.37888i −0.131114 + 0.227097i
\(562\) 7.47922 12.5016i 0.315492 0.527350i
\(563\) −31.5657 31.5657i −1.33034 1.33034i −0.905068 0.425268i \(-0.860180\pi\)
−0.425268 0.905068i \(-0.639820\pi\)
\(564\) 71.0842 + 2.20989i 2.99319 + 0.0930531i
\(565\) 31.0491 + 22.1973i 1.30624 + 0.933847i
\(566\) −6.05865 + 21.2827i −0.254664 + 0.894578i
\(567\) −70.3057 18.8384i −2.95256 0.791137i
\(568\) 4.60560 2.38008i 0.193247 0.0998660i
\(569\) 1.43983i 0.0603608i 0.999544 + 0.0301804i \(0.00960818\pi\)
−0.999544 + 0.0301804i \(0.990392\pi\)
\(570\) 38.8961 + 21.9719i 1.62918 + 0.920303i
\(571\) 35.4495i 1.48352i 0.670668 + 0.741758i \(0.266008\pi\)
−0.670668 + 0.741758i \(0.733992\pi\)
\(572\) −3.67602 + 0.863513i −0.153702 + 0.0361053i
\(573\) 14.1166 + 3.78254i 0.589730 + 0.158018i
\(574\) 6.47220 + 1.84247i 0.270144 + 0.0769033i
\(575\) −14.2464 + 9.56502i −0.594117 + 0.398889i
\(576\) −48.9659 34.7237i −2.04025 1.44682i
\(577\) 14.3154 + 14.3154i 0.595956 + 0.595956i 0.939234 0.343278i \(-0.111537\pi\)
−0.343278 + 0.939234i \(0.611537\pi\)
\(578\) 9.81513 + 5.87199i 0.408256 + 0.244242i
\(579\) 39.2664 68.0114i 1.63186 2.82646i
\(580\) −2.02024 + 4.91559i −0.0838860 + 0.204109i
\(581\) 11.4374 0.474504
\(582\) 40.4496 + 24.1993i 1.67669 + 1.00309i
\(583\) −3.19226 + 0.855363i −0.132210 + 0.0354255i
\(584\) 20.2786 + 6.46042i 0.839135 + 0.267334i
\(585\) 82.4041 + 8.02366i 3.40699 + 0.331737i
\(586\) 0.363919 0.352782i 0.0150334 0.0145733i
\(587\) −0.646787 0.173306i −0.0266958 0.00715311i 0.245446 0.969410i \(-0.421065\pi\)
−0.272142 + 0.962257i \(0.587732\pi\)
\(588\) 10.0471 + 3.02969i 0.414334 + 0.124942i
\(589\) −4.20003 + 9.88991i −0.173059 + 0.407506i
\(590\) −16.3367 + 13.0173i −0.672569 + 0.535913i
\(591\) −58.8144 + 33.9565i −2.41930 + 1.39678i
\(592\) −9.64726 10.9278i −0.396500 0.449129i
\(593\) 9.58768 + 35.7817i 0.393719 + 1.46938i 0.823951 + 0.566661i \(0.191765\pi\)
−0.430232 + 0.902718i \(0.641568\pi\)
\(594\) −5.49707 5.67062i −0.225548 0.232668i
\(595\) −25.3940 + 20.8876i −1.04105 + 0.856307i
\(596\) 1.08835 0.584040i 0.0445805 0.0239232i
\(597\) 31.1713 + 31.1713i 1.27576 + 1.27576i
\(598\) −11.6511 20.9245i −0.476447 0.855666i
\(599\) −11.2838 + 19.5441i −0.461044 + 0.798551i −0.999013 0.0444133i \(-0.985858\pi\)
0.537970 + 0.842964i \(0.319191\pi\)
\(600\) 0.964929 + 45.8233i 0.0393931 + 1.87073i
\(601\) −23.9739 −0.977916 −0.488958 0.872307i \(-0.662623\pi\)
−0.488958 + 0.872307i \(0.662623\pi\)
\(602\) 0.751559 + 1.34975i 0.0306313 + 0.0550117i
\(603\) 15.9243 59.4305i 0.648489 2.42020i
\(604\) −1.15760 + 37.2359i −0.0471021 + 1.51511i
\(605\) 3.97998 + 23.9408i 0.161809 + 0.973333i
\(606\) 57.1100 + 58.9130i 2.31993 + 2.39318i
\(607\) 18.2810 18.2810i 0.742002 0.742002i −0.230961 0.972963i \(-0.574187\pi\)
0.972963 + 0.230961i \(0.0741871\pi\)
\(608\) −21.8792 11.3710i −0.887321 0.461153i
\(609\) 11.3070i 0.458182i
\(610\) −17.0050 6.68190i −0.688514 0.270542i
\(611\) 46.8881 27.0709i 1.89689 1.09517i
\(612\) −54.7767 + 51.4736i −2.21422 + 2.08070i
\(613\) 34.6752 + 9.29118i 1.40052 + 0.375267i 0.878530 0.477687i \(-0.158525\pi\)
0.521986 + 0.852954i \(0.325191\pi\)
\(614\) −37.1930 10.5879i −1.50099 0.427293i
\(615\) −4.85946 10.6934i −0.195952 0.431201i
\(616\) 2.13945 + 2.34883i 0.0862009 + 0.0946372i
\(617\) 19.2524 5.15867i 0.775074 0.207680i 0.150462 0.988616i \(-0.451924\pi\)
0.624612 + 0.780935i \(0.285257\pi\)
\(618\) 37.8356 21.0674i 1.52197 0.847454i
\(619\) −18.5310 −0.744823 −0.372412 0.928068i \(-0.621469\pi\)
−0.372412 + 0.928068i \(0.621469\pi\)
\(620\) −10.9256 + 1.46905i −0.438783 + 0.0589983i
\(621\) 25.0453 43.3798i 1.00504 1.74077i
\(622\) 0.00809410 0.520842i 0.000324544 0.0208839i
\(623\) 18.0757 4.84336i 0.724187 0.194045i
\(624\) −63.8462 3.97358i −2.55589 0.159071i
\(625\) 19.7660 15.3070i 0.790640 0.612281i
\(626\) 0.0749558 + 0.298199i 0.00299584 + 0.0119184i
\(627\) −4.25876 3.32849i −0.170078 0.132927i
\(628\) 1.80124 5.97327i 0.0718772 0.238359i
\(629\) −15.8076 + 9.12651i −0.630289 + 0.363898i
\(630\) −27.8314 63.8605i −1.10883 2.54426i
\(631\) −34.1075 19.6920i −1.35780 0.783926i −0.368473 0.929639i \(-0.620119\pi\)
−0.989327 + 0.145712i \(0.953453\pi\)
\(632\) −11.7776 22.7904i −0.468488 0.906552i
\(633\) −18.2744 68.2009i −0.726342 2.71074i
\(634\) 42.3070 10.6344i 1.68023 0.422345i
\(635\) −2.09879 + 0.953764i −0.0832881 + 0.0378490i
\(636\) −55.9600 1.73970i −2.21896 0.0689836i
\(637\) 7.71669 2.06768i 0.305746 0.0819245i
\(638\) 0.330129 0.551817i 0.0130699 0.0218466i
\(639\) 13.7533 0.544071
\(640\) −1.41499 25.2586i −0.0559324 0.998435i
\(641\) −10.0213 17.3574i −0.395818 0.685577i 0.597387 0.801953i \(-0.296206\pi\)
−0.993205 + 0.116376i \(0.962872\pi\)
\(642\) 22.9014 + 41.1293i 0.903845 + 1.62324i
\(643\) 5.64997 21.0860i 0.222813 0.831550i −0.760456 0.649390i \(-0.775024\pi\)
0.983269 0.182160i \(-0.0583090\pi\)
\(644\) −10.6128 + 17.1297i −0.418204 + 0.675003i
\(645\) 0.947049 2.52475i 0.0372900 0.0994120i
\(646\) −19.3891 + 24.0290i −0.762853 + 0.945407i
\(647\) −9.45636 + 9.45636i −0.371768 + 0.371768i −0.868121 0.496353i \(-0.834672\pi\)
0.496353 + 0.868121i \(0.334672\pi\)
\(648\) −32.1937 62.2967i −1.26469 2.44725i
\(649\) 2.18880 1.26370i 0.0859178 0.0496047i
\(650\) 18.9972 + 29.2676i 0.745130 + 1.14797i
\(651\) 20.3118 11.7270i 0.796080 0.459617i
\(652\) −11.7688 12.5240i −0.460902 0.490479i
\(653\) −0.856271 + 0.856271i −0.0335085 + 0.0335085i −0.723662 0.690154i \(-0.757543\pi\)
0.690154 + 0.723662i \(0.257543\pi\)
\(654\) −6.16614 24.5309i −0.241115 0.959235i
\(655\) −13.6140 16.5512i −0.531943 0.646708i
\(656\) 2.88658 + 5.80514i 0.112702 + 0.226652i
\(657\) 39.9241 + 39.9241i 1.55759 + 1.55759i
\(658\) −39.0924 23.3874i −1.52398 0.911734i
\(659\) −19.3107 + 33.4471i −0.752238 + 1.30292i 0.194497 + 0.980903i \(0.437692\pi\)
−0.946736 + 0.322012i \(0.895641\pi\)
\(660\) 0.708679 5.50012i 0.0275853 0.214092i
\(661\) 16.0446 27.7901i 0.624063 1.08091i −0.364658 0.931141i \(-0.618814\pi\)
0.988721 0.149768i \(-0.0478525\pi\)
\(662\) −0.263921 + 16.9829i −0.0102576 + 0.660058i
\(663\) −20.7319 + 77.3726i −0.805162 + 3.00490i
\(664\) 7.42010 + 8.14629i 0.287956 + 0.316137i
\(665\) −14.9208 24.4166i −0.578604 0.946837i
\(666\) −9.42718 37.5044i −0.365296 1.45327i
\(667\) 3.93941 + 1.05556i 0.152535 + 0.0408715i
\(668\) 5.62762 + 23.9571i 0.217739 + 0.926928i
\(669\) 23.6589 + 13.6595i 0.914706 + 0.528105i
\(670\) 23.7705 10.3595i 0.918333 0.400224i
\(671\) 1.91448 + 1.10533i 0.0739077 + 0.0426706i
\(672\) 23.2125 + 48.5606i 0.895443 + 1.87326i
\(673\) 9.80218 9.80218i 0.377846 0.377846i −0.492478 0.870325i \(-0.663909\pi\)
0.870325 + 0.492478i \(0.163909\pi\)
\(674\) −7.06995 + 24.8352i −0.272324 + 0.956615i
\(675\) −32.1318 + 65.5234i −1.23675 + 2.52200i
\(676\) −20.0014 + 10.7334i −0.769286 + 0.412822i
\(677\) −20.0733 20.0733i −0.771480 0.771480i 0.206886 0.978365i \(-0.433667\pi\)
−0.978365 + 0.206886i \(0.933667\pi\)
\(678\) −38.0592 68.3518i −1.46166 2.62504i
\(679\) −15.0961 26.1472i −0.579335 1.00344i
\(680\) −31.3517 4.53590i −1.20228 0.173944i
\(681\) 9.08492 + 15.7355i 0.348135 + 0.602987i
\(682\) 1.33367 + 0.0207258i 0.0510689 + 0.000793631i
\(683\) 23.6194 + 23.6194i 0.903772 + 0.903772i 0.995760 0.0919877i \(-0.0293220\pi\)
−0.0919877 + 0.995760i \(0.529322\pi\)
\(684\) −37.7157 53.4467i −1.44210 2.04359i
\(685\) −3.19166 7.02338i −0.121947 0.268349i
\(686\) 15.5503 + 16.0412i 0.593712 + 0.612457i
\(687\) 38.0679 + 10.2003i 1.45238 + 0.389165i
\(688\) −0.473779 + 1.41096i −0.0180626 + 0.0537922i
\(689\) −36.9119 + 21.3111i −1.40623 + 0.811889i
\(690\) 34.7818 5.22817i 1.32412 0.199033i
\(691\) 11.2691i 0.428697i 0.976757 + 0.214348i \(0.0687628\pi\)
−0.976757 + 0.214348i \(0.931237\pi\)
\(692\) 14.6062 + 4.40448i 0.555243 + 0.167433i
\(693\) 2.18150 + 8.14146i 0.0828682 + 0.309268i
\(694\) 42.6651 + 12.1457i 1.61955 + 0.461044i
\(695\) −8.58766 3.22128i −0.325748 0.122190i
\(696\) 8.05340 7.33549i 0.305263 0.278051i
\(697\) 7.84156 2.10114i 0.297020 0.0795864i
\(698\) 0.0975589 6.27776i 0.00369266 0.237617i
\(699\) −14.4549 + 25.0366i −0.546734 + 0.946970i
\(700\) 13.7390 25.9449i 0.519287 0.980624i
\(701\) 14.3278 + 24.8164i 0.541152 + 0.937302i 0.998838 + 0.0481886i \(0.0153449\pi\)
−0.457687 + 0.889114i \(0.651322\pi\)
\(702\) −87.4071 52.2921i −3.29897 1.97364i
\(703\) −5.94801 14.7292i −0.224333 0.555521i
\(704\) −0.284973 + 3.04764i −0.0107403 + 0.114862i
\(705\) 13.0395 + 78.4365i 0.491095 + 2.95409i
\(706\) 3.89909 3.77976i 0.146744 0.142253i
\(707\) −13.6026 50.7657i −0.511579 1.90924i
\(708\) 41.6816 9.79119i 1.56649 0.367975i
\(709\) 21.6360 + 12.4916i 0.812558 + 0.469131i 0.847843 0.530247i \(-0.177901\pi\)
−0.0352855 + 0.999377i \(0.511234\pi\)
\(710\) 3.61202 + 4.53307i 0.135557 + 0.170123i
\(711\) 68.0567i 2.55232i
\(712\) 15.1764 + 9.73222i 0.568760 + 0.364731i
\(713\) 2.18954 + 8.17148i 0.0819990 + 0.306024i
\(714\) 65.3636 16.4299i 2.44617 0.614874i
\(715\) −1.74663 3.84354i −0.0653204 0.143740i
\(716\) −30.6881 0.954040i −1.14687 0.0356541i
\(717\) −11.4506 + 42.7344i −0.427632 + 1.59595i
\(718\) −15.4737 27.7897i −0.577473 1.03710i
\(719\) 7.51771 + 13.0211i 0.280363 + 0.485603i 0.971474 0.237145i \(-0.0762118\pi\)
−0.691111 + 0.722749i \(0.742878\pi\)
\(720\) 27.4288 61.2528i 1.02221 2.28276i
\(721\) −27.7388 −1.03305
\(722\) −18.3561 19.6227i −0.683145 0.730283i
\(723\) −0.621337 0.621337i −0.0231078 0.0231078i
\(724\) 24.8784 40.1550i 0.924598 1.49235i
\(725\) −5.83024 1.14624i −0.216530 0.0425704i
\(726\) 13.6203 47.8449i 0.505495 1.77569i
\(727\) 33.2728 + 8.91542i 1.23402 + 0.330654i 0.816143 0.577850i \(-0.196108\pi\)
0.417876 + 0.908504i \(0.362775\pi\)
\(728\) 34.4922 + 22.1189i 1.27836 + 0.819782i
\(729\) 44.1217i 1.63414i
\(730\) −2.67372 + 23.6442i −0.0989588 + 0.875113i
\(731\) 1.61403 + 0.931862i 0.0596972 + 0.0344662i
\(732\) 25.6456 + 27.2913i 0.947888 + 1.00872i
\(733\) −2.73421 + 2.73421i −0.100990 + 0.100990i −0.755797 0.654806i \(-0.772750\pi\)
0.654806 + 0.755797i \(0.272750\pi\)
\(734\) −1.24620 4.95780i −0.0459982 0.182996i
\(735\) −1.13702 + 11.6773i −0.0419396 + 0.430726i
\(736\) −19.0857 + 3.55400i −0.703510 + 0.131002i
\(737\) −3.03046 + 0.812008i −0.111628 + 0.0299107i
\(738\) −0.267252 + 17.1972i −0.00983767 + 0.633038i
\(739\) 18.5555 + 32.1391i 0.682575 + 1.18226i 0.974192 + 0.225720i \(0.0724734\pi\)
−0.291617 + 0.956535i \(0.594193\pi\)
\(740\) 9.88558 12.9570i 0.363401 0.476308i
\(741\) −64.1631 27.2487i −2.35709 1.00101i
\(742\) 30.7749 + 18.4113i 1.12978 + 0.675901i
\(743\) 3.78331 14.1195i 0.138796 0.517994i −0.861157 0.508339i \(-0.830260\pi\)
0.999953 0.00965566i \(-0.00307354\pi\)
\(744\) 21.5299 + 6.85906i 0.789326 + 0.251466i
\(745\) 0.877247 + 1.06651i 0.0321398 + 0.0390739i
\(746\) 4.97338 4.82117i 0.182088 0.176516i
\(747\) 7.56593 + 28.2364i 0.276823 + 1.03312i
\(748\) 3.66965 + 1.10658i 0.134176 + 0.0404606i
\(749\) 30.1536i 1.10179i
\(750\) −50.0431 + 11.0262i −1.82731 + 0.402619i
\(751\) 37.9800 + 21.9278i 1.38591 + 0.800156i 0.992851 0.119357i \(-0.0380833\pi\)
0.393060 + 0.919513i \(0.371417\pi\)
\(752\) −8.70383 43.0162i −0.317396 1.56864i
\(753\) −60.8912 + 60.8912i −2.21900 + 2.21900i
\(754\) 2.27061 7.97613i 0.0826906 0.290474i
\(755\) −41.0872 + 6.83043i −1.49532 + 0.248585i
\(756\) −2.66297 + 85.6583i −0.0968513 + 3.11536i
\(757\) 11.0155 41.1106i 0.400367 1.49419i −0.412077 0.911149i \(-0.635196\pi\)
0.812444 0.583040i \(-0.198137\pi\)
\(758\) 6.22350 + 0.0967156i 0.226048 + 0.00351287i
\(759\) −4.25567 −0.154471
\(760\) 7.71076 26.4678i 0.279699 0.960088i
\(761\) −30.8443 −1.11810 −0.559052 0.829133i \(-0.688835\pi\)
−0.559052 + 0.829133i \(0.688835\pi\)
\(762\) 4.72477 + 0.0734248i 0.171160 + 0.00265990i
\(763\) −4.19333 + 15.6497i −0.151809 + 0.566558i
\(764\) 0.280244 9.01445i 0.0101389 0.326131i
\(765\) −68.3650 48.8748i −2.47174 1.76707i
\(766\) 1.65031 5.79718i 0.0596282 0.209460i
\(767\) 23.0485 23.0485i 0.832232 0.832232i
\(768\) −19.5279 + 48.0371i −0.704654 + 1.73339i
\(769\) −9.71179