Properties

Label 930.2.bs.a.107.1
Level $930$
Weight $2$
Character 930.107
Analytic conductor $7.426$
Analytic rank $0$
Dimension $1024$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [930,2,Mod(107,930)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(930, base_ring=CyclotomicField(60))
 
chi = DirichletCharacter(H, H._module([30, 15, 44]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("930.107");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.bs (of order \(60\), degree \(16\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(1024\)
Relative dimension: \(64\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 107.1
Character \(\chi\) \(=\) 930.107
Dual form 930.2.bs.a.113.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.453990 - 0.891007i) q^{2} +(-1.71996 - 0.204302i) q^{3} +(-0.587785 + 0.809017i) q^{4} +(-1.77453 - 1.36053i) q^{5} +(0.598811 + 1.62525i) q^{6} +(-3.08239 + 2.49607i) q^{7} +(0.987688 + 0.156434i) q^{8} +(2.91652 + 0.702783i) q^{9} +O(q^{10})\) \(q+(-0.453990 - 0.891007i) q^{2} +(-1.71996 - 0.204302i) q^{3} +(-0.587785 + 0.809017i) q^{4} +(-1.77453 - 1.36053i) q^{5} +(0.598811 + 1.62525i) q^{6} +(-3.08239 + 2.49607i) q^{7} +(0.987688 + 0.156434i) q^{8} +(2.91652 + 0.702783i) q^{9} +(-0.406621 + 2.19879i) q^{10} +(0.345954 + 0.777026i) q^{11} +(1.17625 - 1.27139i) q^{12} +(-0.335521 + 0.217890i) q^{13} +(3.62339 + 1.61324i) q^{14} +(2.77416 + 2.70260i) q^{15} +(-0.309017 - 0.951057i) q^{16} +(2.65918 - 1.02076i) q^{17} +(-0.697888 - 2.91770i) q^{18} +(1.61037 + 7.57621i) q^{19} +(2.14373 - 0.635926i) q^{20} +(5.81154 - 3.66340i) q^{21} +(0.535275 - 0.661010i) q^{22} +(-7.14939 - 1.13235i) q^{23} +(-1.66682 - 0.470848i) q^{24} +(1.29792 + 4.82860i) q^{25} +(0.346465 + 0.200032i) q^{26} +(-4.87272 - 1.80461i) q^{27} +(-0.207580 - 3.96086i) q^{28} +(1.94129 - 5.97467i) q^{29} +(1.14859 - 3.69875i) q^{30} +(-1.74501 - 5.28724i) q^{31} +(-0.707107 + 0.707107i) q^{32} +(-0.436279 - 1.40713i) q^{33} +(-2.11675 - 1.90593i) q^{34} +(8.86578 - 0.235670i) q^{35} +(-2.28285 + 1.94643i) q^{36} +(2.56173 - 9.56052i) q^{37} +(6.01936 - 4.87438i) q^{38} +(0.621598 - 0.306214i) q^{39} +(-1.53985 - 1.62138i) q^{40} +(-0.475974 + 0.428569i) q^{41} +(-5.90250 - 3.51497i) q^{42} +(0.148102 - 0.228057i) q^{43} +(-0.831974 - 0.176842i) q^{44} +(-4.21930 - 5.21512i) q^{45} +(2.23682 + 6.88423i) q^{46} +(4.63490 + 2.36160i) q^{47} +(0.337194 + 1.69891i) q^{48} +(1.81538 - 8.54070i) q^{49} +(3.71307 - 3.34859i) q^{50} +(-4.78223 + 1.21240i) q^{51} +(0.0209377 - 0.399515i) q^{52} +(-7.22547 + 8.92271i) q^{53} +(0.604248 + 5.16090i) q^{54} +(0.443260 - 1.84954i) q^{55} +(-3.43491 + 1.98315i) q^{56} +(-1.22194 - 13.3598i) q^{57} +(-6.20479 + 0.982743i) q^{58} +(8.89354 - 9.87727i) q^{59} +(-3.81706 + 0.655798i) q^{60} -3.04831 q^{61} +(-3.91875 + 3.95517i) q^{62} +(-10.7441 + 5.11359i) q^{63} +(0.951057 + 0.309017i) q^{64} +(0.891838 + 0.0698340i) q^{65} +(-1.05570 + 1.02755i) q^{66} +(7.76817 - 2.08147i) q^{67} +(-0.737213 + 2.75132i) q^{68} +(12.0653 + 3.40824i) q^{69} +(-4.23496 - 7.79247i) q^{70} +(-7.98843 + 0.839618i) q^{71} +(2.77067 + 1.15038i) q^{72} +(4.98716 - 12.9920i) q^{73} +(-9.68148 + 2.05786i) q^{74} +(-1.24587 - 8.57017i) q^{75} +(-7.07584 - 3.15037i) q^{76} +(-3.00588 - 1.53157i) q^{77} +(-0.555038 - 0.414830i) q^{78} +(1.59531 - 3.58312i) q^{79} +(-0.745580 + 2.10811i) q^{80} +(8.01219 + 4.09936i) q^{81} +(0.597945 + 0.229530i) q^{82} +(0.442952 - 8.45203i) q^{83} +(-0.452184 + 6.85493i) q^{84} +(-6.10758 - 1.80652i) q^{85} +(-0.270437 - 0.0284241i) q^{86} +(-4.55957 + 9.87957i) q^{87} +(0.220141 + 0.821579i) q^{88} +(7.42575 + 5.39513i) q^{89} +(-2.73119 + 6.12704i) q^{90} +(0.490338 - 1.50911i) q^{91} +(5.11840 - 5.11840i) q^{92} +(1.92115 + 9.45035i) q^{93} -5.20187i q^{94} +(7.45000 - 15.6352i) q^{95} +(1.36066 - 1.07173i) q^{96} +(0.596170 + 3.76407i) q^{97} +(-8.43399 + 2.25988i) q^{98} +(0.462902 + 2.50934i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1024 q - 8 q^{3} + 24 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 1024 q - 8 q^{3} + 24 q^{7} + 8 q^{10} + 8 q^{12} - 8 q^{15} + 256 q^{16} + 44 q^{22} + 16 q^{25} - 20 q^{27} + 4 q^{28} + 48 q^{30} - 32 q^{31} - 52 q^{33} + 112 q^{37} + 12 q^{42} + 40 q^{45} + 24 q^{46} - 12 q^{48} + 16 q^{51} - 20 q^{55} - 40 q^{57} - 56 q^{58} - 12 q^{60} + 32 q^{61} + 224 q^{63} - 32 q^{66} + 24 q^{67} - 24 q^{70} - 88 q^{73} + 224 q^{75} - 96 q^{76} - 32 q^{78} + 48 q^{81} - 24 q^{85} + 20 q^{87} - 36 q^{88} + 8 q^{90} - 80 q^{91} - 252 q^{93} - 32 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(-1\) \(e\left(\frac{11}{15}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.453990 0.891007i −0.321020 0.630037i
\(3\) −1.71996 0.204302i −0.993019 0.117954i
\(4\) −0.587785 + 0.809017i −0.293893 + 0.404508i
\(5\) −1.77453 1.36053i −0.793594 0.608447i
\(6\) 0.598811 + 1.62525i 0.244463 + 0.663504i
\(7\) −3.08239 + 2.49607i −1.16503 + 0.943426i −0.999088 0.0427085i \(-0.986401\pi\)
−0.165947 + 0.986135i \(0.553068\pi\)
\(8\) 0.987688 + 0.156434i 0.349201 + 0.0553079i
\(9\) 2.91652 + 0.702783i 0.972174 + 0.234261i
\(10\) −0.406621 + 2.19879i −0.128585 + 0.695317i
\(11\) 0.345954 + 0.777026i 0.104309 + 0.234282i 0.958159 0.286238i \(-0.0924048\pi\)
−0.853849 + 0.520520i \(0.825738\pi\)
\(12\) 1.17625 1.27139i 0.339554 0.367019i
\(13\) −0.335521 + 0.217890i −0.0930568 + 0.0604318i −0.590329 0.807163i \(-0.701002\pi\)
0.497272 + 0.867595i \(0.334335\pi\)
\(14\) 3.62339 + 1.61324i 0.968392 + 0.431156i
\(15\) 2.77416 + 2.70260i 0.716285 + 0.697807i
\(16\) −0.309017 0.951057i −0.0772542 0.237764i
\(17\) 2.65918 1.02076i 0.644947 0.247572i −0.0138370 0.999904i \(-0.504405\pi\)
0.658784 + 0.752332i \(0.271071\pi\)
\(18\) −0.697888 2.91770i −0.164494 0.687708i
\(19\) 1.61037 + 7.57621i 0.369445 + 1.73810i 0.633635 + 0.773632i \(0.281562\pi\)
−0.264190 + 0.964471i \(0.585105\pi\)
\(20\) 2.14373 0.635926i 0.479354 0.142197i
\(21\) 5.81154 3.66340i 1.26818 0.799420i
\(22\) 0.535275 0.661010i 0.114121 0.140928i
\(23\) −7.14939 1.13235i −1.49075 0.236112i −0.642737 0.766087i \(-0.722201\pi\)
−0.848013 + 0.529975i \(0.822201\pi\)
\(24\) −1.66682 0.470848i −0.340239 0.0961114i
\(25\) 1.29792 + 4.82860i 0.259584 + 0.965721i
\(26\) 0.346465 + 0.200032i 0.0679473 + 0.0392294i
\(27\) −4.87272 1.80461i −0.937755 0.347297i
\(28\) −0.207580 3.96086i −0.0392289 0.748532i
\(29\) 1.94129 5.97467i 0.360488 1.10947i −0.592271 0.805739i \(-0.701768\pi\)
0.952759 0.303729i \(-0.0982316\pi\)
\(30\) 1.14859 3.69875i 0.209703 0.675296i
\(31\) −1.74501 5.28724i −0.313413 0.949617i
\(32\) −0.707107 + 0.707107i −0.125000 + 0.125000i
\(33\) −0.436279 1.40713i −0.0759464 0.244950i
\(34\) −2.11675 1.90593i −0.363020 0.326865i
\(35\) 8.86578 0.235670i 1.49859 0.0398355i
\(36\) −2.28285 + 1.94643i −0.380475 + 0.324405i
\(37\) 2.56173 9.56052i 0.421146 1.57174i −0.351051 0.936356i \(-0.614176\pi\)
0.772197 0.635383i \(-0.219158\pi\)
\(38\) 6.01936 4.87438i 0.976469 0.790729i
\(39\) 0.621598 0.306214i 0.0995354 0.0490335i
\(40\) −1.53985 1.62138i −0.243472 0.256362i
\(41\) −0.475974 + 0.428569i −0.0743346 + 0.0669312i −0.705461 0.708749i \(-0.749260\pi\)
0.631126 + 0.775680i \(0.282593\pi\)
\(42\) −5.90250 3.51497i −0.910775 0.542372i
\(43\) 0.148102 0.228057i 0.0225853 0.0347783i −0.827198 0.561911i \(-0.810066\pi\)
0.849783 + 0.527133i \(0.176733\pi\)
\(44\) −0.831974 0.176842i −0.125425 0.0266599i
\(45\) −4.21930 5.21512i −0.628976 0.777425i
\(46\) 2.23682 + 6.88423i 0.329801 + 1.01502i
\(47\) 4.63490 + 2.36160i 0.676070 + 0.344475i 0.758084 0.652156i \(-0.226135\pi\)
−0.0820147 + 0.996631i \(0.526135\pi\)
\(48\) 0.337194 + 1.69891i 0.0486697 + 0.245217i
\(49\) 1.81538 8.54070i 0.259340 1.22010i
\(50\) 3.71307 3.34859i 0.525108 0.473563i
\(51\) −4.78223 + 1.21240i −0.669646 + 0.169770i
\(52\) 0.0209377 0.399515i 0.00290353 0.0554027i
\(53\) −7.22547 + 8.92271i −0.992495 + 1.22563i −0.0183203 + 0.999832i \(0.505832\pi\)
−0.974174 + 0.225797i \(0.927501\pi\)
\(54\) 0.604248 + 5.16090i 0.0822277 + 0.702309i
\(55\) 0.443260 1.84954i 0.0597692 0.249392i
\(56\) −3.43491 + 1.98315i −0.459010 + 0.265009i
\(57\) −1.22194 13.3598i −0.161850 1.76955i
\(58\) −6.20479 + 0.982743i −0.814729 + 0.129040i
\(59\) 8.89354 9.87727i 1.15784 1.28591i 0.206265 0.978496i \(-0.433869\pi\)
0.951575 0.307415i \(-0.0994641\pi\)
\(60\) −3.81706 + 0.655798i −0.492780 + 0.0846631i
\(61\) −3.04831 −0.390296 −0.195148 0.980774i \(-0.562519\pi\)
−0.195148 + 0.980774i \(0.562519\pi\)
\(62\) −3.91875 + 3.95517i −0.497682 + 0.502308i
\(63\) −10.7441 + 5.11359i −1.35362 + 0.644252i
\(64\) 0.951057 + 0.309017i 0.118882 + 0.0386271i
\(65\) 0.891838 + 0.0698340i 0.110619 + 0.00866184i
\(66\) −1.05570 + 1.02755i −0.129947 + 0.126483i
\(67\) 7.76817 2.08147i 0.949033 0.254293i 0.249081 0.968483i \(-0.419871\pi\)
0.699952 + 0.714190i \(0.253205\pi\)
\(68\) −0.737213 + 2.75132i −0.0894002 + 0.333646i
\(69\) 12.0653 + 3.40824i 1.45249 + 0.410303i
\(70\) −4.23496 7.79247i −0.506175 0.931379i
\(71\) −7.98843 + 0.839618i −0.948052 + 0.0996443i −0.565917 0.824462i \(-0.691478\pi\)
−0.382135 + 0.924107i \(0.624811\pi\)
\(72\) 2.77067 + 1.15038i 0.326527 + 0.135573i
\(73\) 4.98716 12.9920i 0.583703 1.52060i −0.249920 0.968266i \(-0.580404\pi\)
0.833624 0.552333i \(-0.186262\pi\)
\(74\) −9.68148 + 2.05786i −1.12545 + 0.239222i
\(75\) −1.24587 8.57017i −0.143861 0.989598i
\(76\) −7.07584 3.15037i −0.811654 0.361372i
\(77\) −3.00588 1.53157i −0.342552 0.174539i
\(78\) −0.555038 0.414830i −0.0628457 0.0469702i
\(79\) 1.59531 3.58312i 0.179486 0.403132i −0.801288 0.598279i \(-0.795852\pi\)
0.980774 + 0.195147i \(0.0625182\pi\)
\(80\) −0.745580 + 2.10811i −0.0833584 + 0.235693i
\(81\) 8.01219 + 4.09936i 0.890244 + 0.455485i
\(82\) 0.597945 + 0.229530i 0.0660320 + 0.0253473i
\(83\) 0.442952 8.45203i 0.0486203 0.927731i −0.860048 0.510213i \(-0.829567\pi\)
0.908669 0.417518i \(-0.137100\pi\)
\(84\) −0.452184 + 6.85493i −0.0493373 + 0.747934i
\(85\) −6.10758 1.80652i −0.662460 0.195945i
\(86\) −0.270437 0.0284241i −0.0291620 0.00306505i
\(87\) −4.55957 + 9.87957i −0.488837 + 1.05920i
\(88\) 0.220141 + 0.821579i 0.0234671 + 0.0875806i
\(89\) 7.42575 + 5.39513i 0.787128 + 0.571882i 0.907110 0.420894i \(-0.138284\pi\)
−0.119982 + 0.992776i \(0.538284\pi\)
\(90\) −2.73119 + 6.12704i −0.287892 + 0.645847i
\(91\) 0.490338 1.50911i 0.0514014 0.158197i
\(92\) 5.11840 5.11840i 0.533630 0.533630i
\(93\) 1.92115 + 9.45035i 0.199214 + 0.979956i
\(94\) 5.20187i 0.536532i
\(95\) 7.45000 15.6352i 0.764354 1.60414i
\(96\) 1.36066 1.07173i 0.138872 0.109383i
\(97\) 0.596170 + 3.76407i 0.0605319 + 0.382183i 0.999292 + 0.0376130i \(0.0119754\pi\)
−0.938760 + 0.344570i \(0.888025\pi\)
\(98\) −8.43399 + 2.25988i −0.851961 + 0.228282i
\(99\) 0.462902 + 2.50934i 0.0465234 + 0.252199i
\(100\) −4.66932 1.78814i −0.466932 0.178814i
\(101\) 3.35447 + 4.61704i 0.333782 + 0.459412i 0.942613 0.333888i \(-0.108361\pi\)
−0.608830 + 0.793301i \(0.708361\pi\)
\(102\) 3.25134 + 3.71058i 0.321931 + 0.367403i
\(103\) −4.89360 0.256463i −0.482181 0.0252700i −0.190303 0.981725i \(-0.560947\pi\)
−0.291878 + 0.956455i \(0.594280\pi\)
\(104\) −0.365476 + 0.162720i −0.0358378 + 0.0159560i
\(105\) −15.2969 1.40595i −1.49283 0.137207i
\(106\) 11.2305 + 2.38711i 1.09080 + 0.231857i
\(107\) 2.07324 0.795842i 0.200428 0.0769369i −0.256084 0.966655i \(-0.582432\pi\)
0.456511 + 0.889718i \(0.349099\pi\)
\(108\) 4.32407 2.88139i 0.416084 0.277262i
\(109\) 9.11461 2.96152i 0.873022 0.283662i 0.161965 0.986797i \(-0.448217\pi\)
0.711057 + 0.703135i \(0.248217\pi\)
\(110\) −1.84919 + 0.444724i −0.176313 + 0.0424028i
\(111\) −6.35931 + 15.9203i −0.603599 + 1.51109i
\(112\) 3.32642 + 2.16020i 0.314317 + 0.204120i
\(113\) −14.9341 5.73266i −1.40488 0.539284i −0.466388 0.884580i \(-0.654445\pi\)
−0.938494 + 0.345296i \(0.887778\pi\)
\(114\) −11.3489 + 7.15397i −1.06292 + 0.670031i
\(115\) 11.1462 + 11.7364i 1.03939 + 1.09442i
\(116\) 3.69255 + 5.08235i 0.342844 + 0.471885i
\(117\) −1.13168 + 0.399682i −0.104624 + 0.0369506i
\(118\) −12.8383 3.44001i −1.18186 0.316679i
\(119\) −5.64874 + 9.78391i −0.517819 + 0.896889i
\(120\) 2.31723 + 3.10330i 0.211533 + 0.283291i
\(121\) 6.87635 7.63696i 0.625123 0.694269i
\(122\) 1.38390 + 2.71606i 0.125293 + 0.245901i
\(123\) 0.906213 0.639878i 0.0817105 0.0576959i
\(124\) 5.30316 + 1.69602i 0.476238 + 0.152307i
\(125\) 4.26626 10.3344i 0.381586 0.924333i
\(126\) 9.43394 + 7.25150i 0.840442 + 0.646015i
\(127\) 7.76993 0.407205i 0.689469 0.0361336i 0.295616 0.955307i \(-0.404475\pi\)
0.393853 + 0.919173i \(0.371142\pi\)
\(128\) −0.156434 0.987688i −0.0138270 0.0873001i
\(129\) −0.301322 + 0.361991i −0.0265299 + 0.0318715i
\(130\) −0.342664 0.826338i −0.0300536 0.0724746i
\(131\) 17.9910 + 1.89093i 1.57188 + 0.165211i 0.849991 0.526797i \(-0.176607\pi\)
0.721890 + 0.692008i \(0.243274\pi\)
\(132\) 1.39483 + 0.474134i 0.121405 + 0.0412681i
\(133\) −23.8746 19.3332i −2.07019 1.67640i
\(134\) −5.38128 5.97652i −0.464872 0.516293i
\(135\) 6.19156 + 9.83181i 0.532885 + 0.846188i
\(136\) 2.78613 0.592210i 0.238908 0.0507816i
\(137\) 6.71267 4.35926i 0.573502 0.372437i −0.225064 0.974344i \(-0.572259\pi\)
0.798566 + 0.601907i \(0.205592\pi\)
\(138\) −2.44078 12.2976i −0.207773 1.04684i
\(139\) 3.55124 1.15387i 0.301212 0.0978698i −0.154512 0.987991i \(-0.549380\pi\)
0.455724 + 0.890121i \(0.349380\pi\)
\(140\) −5.02051 + 7.31109i −0.424311 + 0.617900i
\(141\) −7.48936 5.00878i −0.630718 0.421815i
\(142\) 4.37478 + 6.73656i 0.367123 + 0.565320i
\(143\) −0.285381 0.185329i −0.0238648 0.0154980i
\(144\) −0.232868 2.99095i −0.0194057 0.249246i
\(145\) −11.5736 + 7.96105i −0.961134 + 0.661129i
\(146\) −13.8401 + 1.45465i −1.14541 + 0.120388i
\(147\) −4.86727 + 14.3188i −0.401445 + 1.18099i
\(148\) 6.22887 + 7.69202i 0.512010 + 0.632280i
\(149\) −2.62085 4.53944i −0.214708 0.371885i 0.738474 0.674282i \(-0.235547\pi\)
−0.953182 + 0.302396i \(0.902213\pi\)
\(150\) −7.07046 + 5.00086i −0.577301 + 0.408318i
\(151\) −7.63435 5.54668i −0.621275 0.451383i 0.232092 0.972694i \(-0.425443\pi\)
−0.853367 + 0.521311i \(0.825443\pi\)
\(152\) 0.405367 + 7.73485i 0.0328796 + 0.627380i
\(153\) 8.47294 1.10825i 0.684997 0.0895969i
\(154\) 3.37358i 0.271851i
\(155\) −4.09687 + 11.7565i −0.329069 + 0.944306i
\(156\) −0.117634 + 0.682872i −0.00941824 + 0.0546735i
\(157\) 18.8398 9.59935i 1.50358 0.766112i 0.508118 0.861287i \(-0.330341\pi\)
0.995461 + 0.0951755i \(0.0303412\pi\)
\(158\) −3.91683 + 0.205273i −0.311607 + 0.0163306i
\(159\) 14.2504 13.8705i 1.13013 1.10000i
\(160\) 2.21682 0.292743i 0.175255 0.0231434i
\(161\) 24.8636 14.3550i 1.95953 1.13134i
\(162\) 0.0151014 8.99999i 0.00118648 0.707106i
\(163\) −1.63547 + 10.3259i −0.128100 + 0.808789i 0.837057 + 0.547116i \(0.184274\pi\)
−0.965156 + 0.261673i \(0.915726\pi\)
\(164\) −0.0669490 0.636977i −0.00522784 0.0497396i
\(165\) −1.14025 + 3.09057i −0.0887687 + 0.240601i
\(166\) −7.73191 + 3.44247i −0.600113 + 0.267187i
\(167\) −11.5804 + 17.8322i −0.896116 + 1.37990i 0.0287426 + 0.999587i \(0.490850\pi\)
−0.924859 + 0.380311i \(0.875817\pi\)
\(168\) 6.31307 2.70917i 0.487064 0.209017i
\(169\) −5.22248 + 11.7299i −0.401729 + 0.902298i
\(170\) 1.16316 + 6.26204i 0.0892106 + 0.480276i
\(171\) −0.627746 + 23.2279i −0.0480049 + 1.77628i
\(172\) 0.0974497 + 0.253865i 0.00743047 + 0.0193570i
\(173\) 13.1861 + 20.3048i 1.00252 + 1.54374i 0.829257 + 0.558867i \(0.188764\pi\)
0.173261 + 0.984876i \(0.444569\pi\)
\(174\) 10.8728 0.422624i 0.824262 0.0320391i
\(175\) −16.0532 11.6439i −1.21351 0.880200i
\(176\) 0.632090 0.569136i 0.0476456 0.0429003i
\(177\) −17.3145 + 15.1715i −1.30144 + 1.14036i
\(178\) 1.43587 9.06573i 0.107623 0.679505i
\(179\) 0.668957 6.36470i 0.0500002 0.475720i −0.940658 0.339355i \(-0.889791\pi\)
0.990659 0.136365i \(-0.0435420\pi\)
\(180\) 6.69917 0.348112i 0.499326 0.0259467i
\(181\) 3.29766 5.71172i 0.245113 0.424549i −0.717050 0.697022i \(-0.754508\pi\)
0.962163 + 0.272473i \(0.0878415\pi\)
\(182\) −1.56723 + 0.248225i −0.116171 + 0.0183997i
\(183\) 5.24296 + 0.622776i 0.387571 + 0.0460369i
\(184\) −6.88423 2.23682i −0.507512 0.164901i
\(185\) −17.5532 + 13.4801i −1.29054 + 0.991078i
\(186\) 7.54814 6.00213i 0.553457 0.440098i
\(187\) 1.71312 + 1.71312i 0.125275 + 0.125275i
\(188\) −4.63490 + 2.36160i −0.338035 + 0.172237i
\(189\) 19.5241 6.60014i 1.42017 0.480089i
\(190\) −17.3133 + 0.460222i −1.25604 + 0.0333880i
\(191\) −3.34664 1.93218i −0.242155 0.139808i 0.374012 0.927424i \(-0.377982\pi\)
−0.616167 + 0.787616i \(0.711315\pi\)
\(192\) −1.57265 0.725800i −0.113496 0.0523801i
\(193\) −13.4312 16.5861i −0.966798 1.19390i −0.981002 0.193996i \(-0.937855\pi\)
0.0142047 0.999899i \(-0.495478\pi\)
\(194\) 3.08316 2.24004i 0.221358 0.160826i
\(195\) −1.51966 0.302316i −0.108825 0.0216493i
\(196\) 5.84252 + 6.48877i 0.417323 + 0.463484i
\(197\) −3.06951 + 7.99635i −0.218694 + 0.569717i −0.998407 0.0564199i \(-0.982031\pi\)
0.779713 + 0.626137i \(0.215365\pi\)
\(198\) 2.02569 1.55167i 0.143959 0.110272i
\(199\) 0.154882 0.728661i 0.0109793 0.0516534i −0.972317 0.233666i \(-0.924928\pi\)
0.983296 + 0.182012i \(0.0582611\pi\)
\(200\) 0.526579 + 4.97219i 0.0372347 + 0.351587i
\(201\) −13.7862 + 1.99300i −0.972403 + 0.140575i
\(202\) 2.59091 5.08495i 0.182296 0.357776i
\(203\) 8.92939 + 23.2618i 0.626720 + 1.63266i
\(204\) 1.83008 4.58154i 0.128131 0.320772i
\(205\) 1.42771 0.112932i 0.0997157 0.00788751i
\(206\) 1.99314 + 4.47666i 0.138869 + 0.311904i
\(207\) −20.0555 8.32700i −1.39396 0.578767i
\(208\) 0.310907 + 0.251768i 0.0215575 + 0.0174570i
\(209\) −5.32980 + 3.87233i −0.368670 + 0.267854i
\(210\) 5.69194 + 14.2679i 0.392781 + 0.984582i
\(211\) 5.43340 + 9.41092i 0.374050 + 0.647874i 0.990184 0.139767i \(-0.0446354\pi\)
−0.616134 + 0.787641i \(0.711302\pi\)
\(212\) −2.97160 11.0902i −0.204090 0.761676i
\(213\) 13.9113 + 0.187946i 0.953187 + 0.0128778i
\(214\) −1.65033 1.48596i −0.112814 0.101578i
\(215\) −0.573089 + 0.203197i −0.0390844 + 0.0138579i
\(216\) −4.53042 2.54465i −0.308256 0.173142i
\(217\) 18.5761 + 11.9417i 1.26103 + 0.810654i
\(218\) −6.77668 6.77668i −0.458975 0.458975i
\(219\) −11.2320 + 21.3268i −0.758989 + 1.44113i
\(220\) 1.23577 + 1.44574i 0.0833153 + 0.0974715i
\(221\) −0.669798 + 0.921897i −0.0450555 + 0.0620135i
\(222\) 17.0722 1.56149i 1.14581 0.104800i
\(223\) 23.6804 + 6.34515i 1.58576 + 0.424902i 0.940702 0.339234i \(-0.110168\pi\)
0.645055 + 0.764136i \(0.276834\pi\)
\(224\) 0.414591 3.94457i 0.0277010 0.263558i
\(225\) 0.391945 + 14.9949i 0.0261296 + 0.999659i
\(226\) 1.67210 + 15.9090i 0.111226 + 1.05825i
\(227\) 10.1867 + 0.533862i 0.676114 + 0.0354337i 0.387303 0.921952i \(-0.373407\pi\)
0.288811 + 0.957386i \(0.406740\pi\)
\(228\) 11.5265 + 6.86411i 0.763363 + 0.454587i
\(229\) −2.87620 13.5314i −0.190065 0.894183i −0.965022 0.262170i \(-0.915562\pi\)
0.774957 0.632014i \(-0.217771\pi\)
\(230\) 5.39689 15.2595i 0.355860 1.00618i
\(231\) 4.85709 + 3.24835i 0.319573 + 0.213726i
\(232\) 2.85203 5.59742i 0.187245 0.367489i
\(233\) 7.51421 14.7475i 0.492273 0.966139i −0.502554 0.864546i \(-0.667606\pi\)
0.994826 0.101593i \(-0.0323940\pi\)
\(234\) 0.869893 + 0.826886i 0.0568667 + 0.0540552i
\(235\) −5.01175 10.4967i −0.326930 0.684726i
\(236\) 2.76339 + 13.0007i 0.179882 + 0.846276i
\(237\) −3.47590 + 5.83689i −0.225784 + 0.379147i
\(238\) 11.2820 + 0.591265i 0.731303 + 0.0383260i
\(239\) −0.911078 8.66833i −0.0589327 0.560708i −0.983655 0.180065i \(-0.942369\pi\)
0.924722 0.380643i \(-0.124297\pi\)
\(240\) 1.71306 3.47353i 0.110577 0.224216i
\(241\) −2.19703 + 20.9033i −0.141523 + 1.34650i 0.661227 + 0.750186i \(0.270036\pi\)
−0.802750 + 0.596316i \(0.796631\pi\)
\(242\) −9.92638 2.65977i −0.638092 0.170976i
\(243\) −12.9431 8.68765i −0.830303 0.557313i
\(244\) 1.79175 2.46613i 0.114705 0.157878i
\(245\) −14.8413 + 12.6859i −0.948178 + 0.810470i
\(246\) −0.981548 0.516943i −0.0625812 0.0329591i
\(247\) −2.19109 2.19109i −0.139416 0.139416i
\(248\) −0.896420 5.49513i −0.0569228 0.348941i
\(249\) −2.48863 + 14.4467i −0.157710 + 0.915519i
\(250\) −11.1448 + 0.890434i −0.704861 + 0.0563160i
\(251\) 3.13291 + 2.82089i 0.197748 + 0.178053i 0.762056 0.647512i \(-0.224190\pi\)
−0.564308 + 0.825564i \(0.690857\pi\)
\(252\) 2.17822 11.6978i 0.137215 0.736893i
\(253\) −1.59349 5.94700i −0.100182 0.373885i
\(254\) −3.89029 6.73819i −0.244099 0.422792i
\(255\) 10.1357 + 4.35493i 0.634723 + 0.272716i
\(256\) −0.809017 + 0.587785i −0.0505636 + 0.0367366i
\(257\) 1.78690 + 1.44700i 0.111464 + 0.0902614i 0.683432 0.730014i \(-0.260487\pi\)
−0.571968 + 0.820276i \(0.693820\pi\)
\(258\) 0.459333 + 0.104139i 0.0285968 + 0.00648342i
\(259\) 15.9675 + 35.8635i 0.992170 + 2.22845i
\(260\) −0.580706 + 0.680465i −0.0360139 + 0.0422006i
\(261\) 9.86070 16.0609i 0.610362 0.994147i
\(262\) −6.48291 16.8886i −0.400516 1.04338i
\(263\) 10.1920 20.0030i 0.628469 1.23344i −0.328844 0.944384i \(-0.606659\pi\)
0.957313 0.289055i \(-0.0933409\pi\)
\(264\) −0.210784 1.45806i −0.0129728 0.0897372i
\(265\) 24.9614 6.00316i 1.53337 0.368771i
\(266\) −6.38722 + 30.0495i −0.391626 + 1.84245i
\(267\) −11.6698 10.7965i −0.714178 0.660735i
\(268\) −2.88207 + 7.50804i −0.176050 + 0.458627i
\(269\) 6.54591 + 7.26997i 0.399111 + 0.443258i 0.908883 0.417052i \(-0.136937\pi\)
−0.509771 + 0.860310i \(0.670270\pi\)
\(270\) 5.94930 9.98027i 0.362063 0.607380i
\(271\) 0.898303 0.652655i 0.0545680 0.0396460i −0.560167 0.828380i \(-0.689263\pi\)
0.614735 + 0.788734i \(0.289263\pi\)
\(272\) −1.79254 2.21360i −0.108689 0.134219i
\(273\) −1.15168 + 2.49542i −0.0697026 + 0.151030i
\(274\) −6.93162 4.00197i −0.418754 0.241768i
\(275\) −3.30293 + 2.67899i −0.199174 + 0.161549i
\(276\) −9.84914 + 7.75774i −0.592848 + 0.466961i
\(277\) 17.7431 9.04055i 1.06608 0.543194i 0.169250 0.985573i \(-0.445865\pi\)
0.896828 + 0.442379i \(0.145865\pi\)
\(278\) −2.64033 2.64033i −0.158357 0.158357i
\(279\) −1.37358 16.6467i −0.0822339 0.996613i
\(280\) 8.79349 + 1.15414i 0.525512 + 0.0689733i
\(281\) −15.2697 4.96144i −0.910916 0.295975i −0.184181 0.982892i \(-0.558963\pi\)
−0.726735 + 0.686918i \(0.758963\pi\)
\(282\) −1.06275 + 8.94701i −0.0632861 + 0.532787i
\(283\) 5.82946 0.923296i 0.346526 0.0548843i 0.0192541 0.999815i \(-0.493871\pi\)
0.327271 + 0.944930i \(0.393871\pi\)
\(284\) 4.01622 6.95629i 0.238319 0.412780i
\(285\) −16.0080 + 25.3698i −0.948233 + 1.50278i
\(286\) −0.0355687 + 0.338414i −0.00210322 + 0.0200108i
\(287\) 0.397399 2.50908i 0.0234577 0.148106i
\(288\) −2.55923 + 1.56535i −0.150804 + 0.0922391i
\(289\) −6.60417 + 5.94642i −0.388480 + 0.349789i
\(290\) 12.3476 + 6.69790i 0.725079 + 0.393314i
\(291\) −0.256381 6.59585i −0.0150293 0.386655i
\(292\) 7.57937 + 11.6712i 0.443549 + 0.683006i
\(293\) −3.90177 10.1645i −0.227944 0.593815i 0.771137 0.636669i \(-0.219688\pi\)
−0.999081 + 0.0428542i \(0.986355\pi\)
\(294\) 14.9678 2.16382i 0.872941 0.126197i
\(295\) −29.2202 + 5.42760i −1.70126 + 0.316007i
\(296\) 4.02579 9.04207i 0.233994 0.525559i
\(297\) −0.283508 4.41054i −0.0164508 0.255926i
\(298\) −2.85483 + 4.39605i −0.165376 + 0.254657i
\(299\) 2.64550 1.17785i 0.152993 0.0681169i
\(300\) 7.66572 + 4.02949i 0.442580 + 0.232643i
\(301\) 0.112738 + 1.07263i 0.00649812 + 0.0618255i
\(302\) −1.47621 + 9.32040i −0.0849461 + 0.536329i
\(303\) −4.82629 8.62644i −0.277263 0.495576i
\(304\) 6.70777 3.87273i 0.384717 0.222117i
\(305\) 5.40931 + 4.14731i 0.309736 + 0.237474i
\(306\) −4.83410 7.04631i −0.276347 0.402811i
\(307\) −10.3327 + 0.541512i −0.589717 + 0.0309057i −0.344861 0.938654i \(-0.612074\pi\)
−0.244856 + 0.969560i \(0.578741\pi\)
\(308\) 3.00588 1.53157i 0.171276 0.0872694i
\(309\) 8.36440 + 1.44088i 0.475834 + 0.0819688i
\(310\) 12.3351 1.68700i 0.700585 0.0958154i
\(311\) 26.3401i 1.49361i −0.665042 0.746806i \(-0.731587\pi\)
0.665042 0.746806i \(-0.268413\pi\)
\(312\) 0.661848 0.205205i 0.0374697 0.0116174i
\(313\) −0.861437 16.4372i −0.0486913 0.929086i −0.908348 0.418214i \(-0.862656\pi\)
0.859657 0.510872i \(-0.170677\pi\)
\(314\) −17.1062 12.4284i −0.965357 0.701373i
\(315\) 26.0228 + 5.54338i 1.46622 + 0.312334i
\(316\) 1.96110 + 3.39673i 0.110321 + 0.191081i
\(317\) 13.7524 + 16.9829i 0.772414 + 0.953852i 0.999801 0.0199522i \(-0.00635142\pi\)
−0.227387 + 0.973805i \(0.573018\pi\)
\(318\) −18.8283 6.40015i −1.05584 0.358903i
\(319\) 5.31407 0.558531i 0.297531 0.0312717i
\(320\) −1.26725 1.84230i −0.0708416 0.102988i
\(321\) −3.72848 + 0.945248i −0.208103 + 0.0527586i
\(322\) −24.0783 15.6366i −1.34183 0.871395i
\(323\) 12.0158 + 18.5027i 0.668578 + 1.02952i
\(324\) −8.02590 + 4.07245i −0.445884 + 0.226247i
\(325\) −1.48758 1.33729i −0.0825163 0.0741798i
\(326\) 9.94296 3.23066i 0.550690 0.178930i
\(327\) −16.2818 + 3.23155i −0.900386 + 0.178705i
\(328\) −0.537157 + 0.348834i −0.0296595 + 0.0192611i
\(329\) −20.1813 + 4.28967i −1.11263 + 0.236497i
\(330\) 3.27138 0.387115i 0.180084 0.0213100i
\(331\) −0.634457 0.704636i −0.0348729 0.0387303i 0.725456 0.688269i \(-0.241629\pi\)
−0.760329 + 0.649538i \(0.774962\pi\)
\(332\) 6.57747 + 5.32633i 0.360986 + 0.292321i
\(333\) 14.1903 26.0831i 0.777625 1.42935i
\(334\) 21.1460 + 2.22253i 1.15706 + 0.121612i
\(335\) −16.6168 6.87518i −0.907871 0.375631i
\(336\) −5.27997 4.39505i −0.288046 0.239770i
\(337\) −4.82387 30.4567i −0.262773 1.65908i −0.667473 0.744634i \(-0.732624\pi\)
0.404700 0.914449i \(-0.367376\pi\)
\(338\) 12.8224 0.671991i 0.697444 0.0365515i
\(339\) 24.5149 + 12.9110i 1.33146 + 0.701230i
\(340\) 5.05145 3.87929i 0.273953 0.210384i
\(341\) 3.50463 3.18506i 0.189786 0.172481i
\(342\) 20.9812 9.98593i 1.13453 0.539977i
\(343\) 3.11785 + 6.11913i 0.168348 + 0.330402i
\(344\) 0.181954 0.202081i 0.00981032 0.0108955i
\(345\) −16.7733 22.4632i −0.903043 1.20938i
\(346\) 12.1053 20.9670i 0.650787 1.12720i
\(347\) 4.62875 + 1.24027i 0.248484 + 0.0665812i 0.380911 0.924612i \(-0.375610\pi\)
−0.132427 + 0.991193i \(0.542277\pi\)
\(348\) −5.31269 9.49584i −0.284790 0.509030i
\(349\) −17.7967 24.4950i −0.952634 1.31119i −0.950347 0.311191i \(-0.899272\pi\)
−0.00228715 0.999997i \(-0.500728\pi\)
\(350\) −3.08682 + 19.5898i −0.164997 + 1.04712i
\(351\) 2.02811 0.456231i 0.108252 0.0243518i
\(352\) −0.794067 0.304814i −0.0423239 0.0162466i
\(353\) 0.971513 + 0.630908i 0.0517084 + 0.0335798i 0.570234 0.821482i \(-0.306852\pi\)
−0.518526 + 0.855062i \(0.673519\pi\)
\(354\) 21.3786 + 8.53957i 1.13626 + 0.453873i
\(355\) 15.3180 + 9.37857i 0.812997 + 0.497763i
\(356\) −8.72950 + 2.83639i −0.462662 + 0.150328i
\(357\) 11.7145 15.6739i 0.619996 0.829549i
\(358\) −5.97469 + 2.29347i −0.315772 + 0.121214i
\(359\) −7.03271 1.49485i −0.371172 0.0788951i 0.0185491 0.999828i \(-0.494095\pi\)
−0.389721 + 0.920933i \(0.627429\pi\)
\(360\) −3.35153 5.81096i −0.176641 0.306265i
\(361\) −37.4483 + 16.6731i −1.97096 + 0.877530i
\(362\) −6.58629 0.345173i −0.346167 0.0181419i
\(363\) −13.3873 + 11.7304i −0.702651 + 0.615687i
\(364\) 0.932679 + 1.28372i 0.0488857 + 0.0672853i
\(365\) −26.5259 + 16.2695i −1.38843 + 0.851586i
\(366\) −1.82536 4.95425i −0.0954130 0.258963i
\(367\) −12.2300 + 3.27701i −0.638400 + 0.171059i −0.563479 0.826131i \(-0.690537\pi\)
−0.0749215 + 0.997189i \(0.523871\pi\)
\(368\) 1.13235 + 7.14939i 0.0590279 + 0.372688i
\(369\) −1.68938 + 0.915424i −0.0879456 + 0.0476550i
\(370\) 19.9799 + 9.52021i 1.03870 + 0.494932i
\(371\) 45.5386i 2.36425i
\(372\) −8.77472 4.00053i −0.454948 0.207418i
\(373\) 2.19146 2.19146i 0.113469 0.113469i −0.648092 0.761562i \(-0.724433\pi\)
0.761562 + 0.648092i \(0.224433\pi\)
\(374\) 0.748659 2.30414i 0.0387123 0.119144i
\(375\) −9.44913 + 16.9031i −0.487951 + 0.872871i
\(376\) 4.20840 + 3.05758i 0.217032 + 0.157683i
\(377\) 0.650477 + 2.42761i 0.0335013 + 0.125028i
\(378\) −14.7445 14.3997i −0.758375 0.740639i
\(379\) −7.27393 0.764521i −0.373637 0.0392708i −0.0841507 0.996453i \(-0.526818\pi\)
−0.289486 + 0.957182i \(0.593484\pi\)
\(380\) 8.27013 + 15.2173i 0.424249 + 0.780632i
\(381\) −13.4472 0.887038i −0.688918 0.0454443i
\(382\) −0.202245 + 3.85907i −0.0103478 + 0.197447i
\(383\) −10.2260 3.92539i −0.522523 0.200578i 0.0827872 0.996567i \(-0.473618\pi\)
−0.605311 + 0.795989i \(0.706951\pi\)
\(384\) 0.0672740 + 1.73074i 0.00343306 + 0.0883217i
\(385\) 3.25027 + 6.80741i 0.165649 + 0.346938i
\(386\) −8.68072 + 19.4972i −0.441837 + 0.992382i
\(387\) 0.592216 0.561049i 0.0301041 0.0285197i
\(388\) −3.39562 1.73015i −0.172386 0.0878352i
\(389\) 0.874685 + 0.389435i 0.0443483 + 0.0197451i 0.428791 0.903404i \(-0.358940\pi\)
−0.384443 + 0.923149i \(0.625606\pi\)
\(390\) 0.420545 + 1.49127i 0.0212951 + 0.0755136i
\(391\) −20.1674 + 4.28671i −1.01991 + 0.216788i
\(392\) 3.12909 8.15156i 0.158043 0.411716i
\(393\) −30.5575 6.92793i −1.54142 0.349468i
\(394\) 8.51833 0.895313i 0.429147 0.0451052i
\(395\) −7.70586 + 4.18789i −0.387724 + 0.210716i
\(396\) −2.30219 1.10046i −0.115689 0.0553002i
\(397\) −7.18701 + 26.8223i −0.360706 + 1.34617i 0.512444 + 0.858721i \(0.328740\pi\)
−0.873150 + 0.487452i \(0.837926\pi\)
\(398\) −0.719557 + 0.192805i −0.0360681 + 0.00966442i
\(399\) 37.1135 + 38.1300i 1.85800 + 1.90889i
\(400\) 4.19120 2.72651i 0.209560 0.136326i
\(401\) −10.7395 3.48949i −0.536307 0.174257i 0.0283260 0.999599i \(-0.490982\pi\)
−0.564633 + 0.825342i \(0.690982\pi\)
\(402\) 8.03457 + 11.3788i 0.400728 + 0.567522i
\(403\) 1.73753 + 1.39376i 0.0865523 + 0.0694282i
\(404\) −5.70697 −0.283932
\(405\) −8.64057 18.1753i −0.429354 0.903137i
\(406\) 16.6726 18.5168i 0.827447 0.918973i
\(407\) 8.31501 1.31697i 0.412160 0.0652797i
\(408\) −4.91302 + 0.449364i −0.243231 + 0.0222469i
\(409\) −0.767817 + 0.443299i −0.0379661 + 0.0219197i −0.518863 0.854857i \(-0.673644\pi\)
0.480897 + 0.876777i \(0.340311\pi\)
\(410\) −0.748790 1.22083i −0.0369801 0.0602925i
\(411\) −12.4361 + 6.12634i −0.613429 + 0.302190i
\(412\) 3.08387 3.80826i 0.151931 0.187620i
\(413\) −2.75898 + 52.6445i −0.135761 + 2.59047i
\(414\) 1.68562 + 21.6500i 0.0828436 + 1.06404i
\(415\) −12.2853 + 14.3957i −0.603060 + 0.706659i
\(416\) 0.0831778 0.391321i 0.00407813 0.0191861i
\(417\) −6.34373 + 1.25908i −0.310654 + 0.0616574i
\(418\) 5.86994 + 2.99089i 0.287108 + 0.146289i
\(419\) 2.46581 + 7.58897i 0.120463 + 0.370745i 0.993047 0.117718i \(-0.0375577\pi\)
−0.872585 + 0.488463i \(0.837558\pi\)
\(420\) 10.1287 11.5491i 0.494232 0.563537i
\(421\) −19.1262 4.06540i −0.932155 0.198136i −0.283286 0.959036i \(-0.591424\pi\)
−0.648869 + 0.760900i \(0.724758\pi\)
\(422\) 5.91848 9.11366i 0.288107 0.443646i
\(423\) 11.8581 + 10.1450i 0.576560 + 0.493266i
\(424\) −8.53233 + 7.68255i −0.414367 + 0.373097i
\(425\) 8.38027 + 11.5153i 0.406503 + 0.558573i
\(426\) −6.14814 12.4804i −0.297878 0.604677i
\(427\) 9.39607 7.60879i 0.454708 0.368215i
\(428\) −0.574770 + 2.14507i −0.0277825 + 0.103686i
\(429\) 0.452981 + 0.377062i 0.0218701 + 0.0182047i
\(430\) 0.441227 + 0.418377i 0.0212778 + 0.0201759i
\(431\) 2.49506 + 2.24656i 0.120183 + 0.108213i 0.727031 0.686605i \(-0.240900\pi\)
−0.606848 + 0.794818i \(0.707566\pi\)
\(432\) −0.210534 + 5.19189i −0.0101293 + 0.249795i
\(433\) −0.897306 + 0.897306i −0.0431218 + 0.0431218i −0.728339 0.685217i \(-0.759707\pi\)
0.685217 + 0.728339i \(0.259707\pi\)
\(434\) 2.20672 21.9729i 0.105926 1.05473i
\(435\) 21.5326 11.3282i 1.03241 0.543144i
\(436\) −2.96152 + 9.11461i −0.141831 + 0.436511i
\(437\) −2.93425 55.9888i −0.140364 2.67831i
\(438\) 24.1016 + 0.325619i 1.15162 + 0.0155587i
\(439\) −1.87410 1.08201i −0.0894457 0.0516415i 0.454610 0.890691i \(-0.349779\pi\)
−0.544056 + 0.839049i \(0.683112\pi\)
\(440\) 0.727135 1.75743i 0.0346648 0.0837820i
\(441\) 11.2969 23.6333i 0.537946 1.12540i
\(442\) 1.12550 + 0.178261i 0.0535345 + 0.00847903i
\(443\) 13.9601 17.2393i 0.663265 0.819064i −0.328852 0.944381i \(-0.606662\pi\)
0.992117 + 0.125318i \(0.0399951\pi\)
\(444\) −9.14191 14.5025i −0.433856 0.688260i
\(445\) −5.83700 19.6768i −0.276700 0.932769i
\(446\) −5.09711 23.9800i −0.241355 1.13549i
\(447\) 3.58033 + 8.34310i 0.169344 + 0.394615i
\(448\) −3.70286 + 1.42139i −0.174944 + 0.0671545i
\(449\) −8.04981 24.7748i −0.379894 1.16919i −0.940117 0.340852i \(-0.889284\pi\)
0.560223 0.828342i \(-0.310716\pi\)
\(450\) 13.1826 7.15676i 0.621434 0.337373i
\(451\) −0.497674 0.221579i −0.0234346 0.0104337i
\(452\) 13.4159 8.71237i 0.631029 0.409795i
\(453\) 11.9976 + 11.0998i 0.563695 + 0.521513i
\(454\) −4.14899 9.31878i −0.194722 0.437352i
\(455\) −2.92330 + 2.01084i −0.137047 + 0.0942694i
\(456\) 0.883034 13.3865i 0.0413519 0.626878i
\(457\) −5.15218 0.816026i −0.241009 0.0381721i 0.0347613 0.999396i \(-0.488933\pi\)
−0.275770 + 0.961224i \(0.588933\pi\)
\(458\) −10.7508 + 8.70586i −0.502354 + 0.406798i
\(459\) −14.7995 + 0.175109i −0.690783 + 0.00817339i
\(460\) −16.0465 + 2.11902i −0.748171 + 0.0987999i
\(461\) 21.8777 30.1121i 1.01895 1.40246i 0.106006 0.994366i \(-0.466194\pi\)
0.912940 0.408093i \(-0.133806\pi\)
\(462\) 0.689229 5.80241i 0.0320658 0.269953i
\(463\) 6.31430 + 12.3925i 0.293450 + 0.575929i 0.989915 0.141662i \(-0.0452447\pi\)
−0.696465 + 0.717591i \(0.745245\pi\)
\(464\) −6.28214 −0.291641
\(465\) 9.44834 19.3837i 0.438156 0.898899i
\(466\) −16.5515 −0.766732
\(467\) −2.33106 4.57496i −0.107868 0.211704i 0.830762 0.556627i \(-0.187905\pi\)
−0.938631 + 0.344923i \(0.887905\pi\)
\(468\) 0.341837 1.15048i 0.0158014 0.0531809i
\(469\) −18.7490 + 25.8058i −0.865750 + 1.19160i
\(470\) −7.07730 + 9.23088i −0.326451 + 0.425789i
\(471\) −34.3648 + 12.6615i −1.58345 + 0.583410i
\(472\) 10.3292 8.36441i 0.475440 0.385003i
\(473\) 0.228442 + 0.0361817i 0.0105038 + 0.00166364i
\(474\) 6.77873 + 0.447158i 0.311358 + 0.0205386i
\(475\) −34.4924 + 17.6092i −1.58262 + 0.807964i
\(476\) −4.59510 10.3208i −0.210616 0.473051i
\(477\) −27.3440 + 20.9453i −1.25199 + 0.959021i
\(478\) −7.30992 + 4.74712i −0.334348 + 0.217128i
\(479\) −3.57128 1.59004i −0.163176 0.0726506i 0.323523 0.946220i \(-0.395133\pi\)
−0.486699 + 0.873570i \(0.661799\pi\)
\(480\) −3.87265 + 0.0506042i −0.176762 + 0.00230975i
\(481\) 1.22363 + 3.76593i 0.0557925 + 0.171712i
\(482\) 19.6224 7.53235i 0.893778 0.343089i
\(483\) −45.6972 + 19.6104i −2.07930 + 0.892303i
\(484\) 2.13661 + 10.0520i 0.0971188 + 0.456908i
\(485\) 4.06321 7.49057i 0.184501 0.340129i
\(486\) −1.86469 + 15.4765i −0.0845841 + 0.702030i
\(487\) −19.0040 + 23.4680i −0.861154 + 1.06344i 0.136196 + 0.990682i \(0.456512\pi\)
−0.997350 + 0.0727547i \(0.976821\pi\)
\(488\) −3.01078 0.476860i −0.136291 0.0215865i
\(489\) 4.92255 17.4261i 0.222605 0.788033i
\(490\) 18.0410 + 7.46446i 0.815009 + 0.337210i
\(491\) −16.1818 9.34257i −0.730274 0.421624i 0.0882482 0.996099i \(-0.471873\pi\)
−0.818523 + 0.574474i \(0.805206\pi\)
\(492\) −0.0149863 + 1.10925i −0.000675635 + 0.0500090i
\(493\) −0.936492 17.8693i −0.0421775 0.804794i
\(494\) −0.957544 + 2.94702i −0.0430819 + 0.132593i
\(495\) 2.59260 5.08270i 0.116529 0.228450i
\(496\) −4.48923 + 3.29345i −0.201572 + 0.147880i
\(497\) 22.5277 22.5277i 1.01051 1.01051i
\(498\) 14.0019 4.34126i 0.627439 0.194536i
\(499\) −16.0399 14.4424i −0.718044 0.646530i 0.226841 0.973932i \(-0.427160\pi\)
−0.944885 + 0.327402i \(0.893827\pi\)
\(500\) 5.85303 + 9.52586i 0.261755 + 0.426010i
\(501\) 23.5609 28.3048i 1.05262 1.26456i
\(502\) 1.09112 4.07210i 0.0486989 0.181747i
\(503\) −1.74879 + 1.41614i −0.0779747 + 0.0631427i −0.667515 0.744596i \(-0.732642\pi\)
0.589541 + 0.807739i \(0.299309\pi\)
\(504\) −11.4117 + 3.36989i −0.508318 + 0.150107i
\(505\) 0.328999 12.7569i 0.0146403 0.567676i
\(506\) −4.57539 + 4.11970i −0.203401 + 0.183143i
\(507\) 11.3789 19.1080i 0.505354 0.848614i
\(508\) −4.23761 + 6.52535i −0.188014 + 0.289516i
\(509\) −6.86036 1.45822i −0.304080 0.0646343i 0.0533446 0.998576i \(-0.483012\pi\)
−0.357425 + 0.933942i \(0.616345\pi\)
\(510\) −0.721247 11.0081i −0.0319373 0.487446i
\(511\) 17.0566 + 52.4948i 0.754539 + 2.32223i
\(512\) 0.891007 + 0.453990i 0.0393773 + 0.0200637i
\(513\) 5.82522 39.8228i 0.257190 1.75822i
\(514\) 0.478053 2.24906i 0.0210860 0.0992018i
\(515\) 8.33492 + 7.11299i 0.367281 + 0.313436i
\(516\) −0.115744 0.456547i −0.00509536 0.0200984i
\(517\) −0.231561 + 4.41844i −0.0101840 + 0.194323i
\(518\) 24.7055 30.5088i 1.08550 1.34048i
\(519\) −18.5312 37.6173i −0.813429 1.65122i
\(520\) 0.869934 + 0.208488i 0.0381491 + 0.00914282i
\(521\) 13.4961 7.79199i 0.591276 0.341373i −0.174326 0.984688i \(-0.555775\pi\)
0.765602 + 0.643315i \(0.222441\pi\)
\(522\) −18.7871 1.49443i −0.822287 0.0654096i
\(523\) −13.5248 + 2.14212i −0.591398 + 0.0936682i −0.444958 0.895551i \(-0.646781\pi\)
−0.146440 + 0.989220i \(0.546781\pi\)
\(524\) −12.1046 + 13.4436i −0.528794 + 0.587285i
\(525\) 25.2320 + 23.3068i 1.10122 + 1.01719i
\(526\) −22.4499 −0.978863
\(527\) −10.0373 12.2785i −0.437233 0.534860i
\(528\) −1.20344 + 0.849754i −0.0523732 + 0.0369808i
\(529\) 27.9573 + 9.08386i 1.21553 + 0.394951i
\(530\) −16.6811 19.5154i −0.724581 0.847696i
\(531\) 32.8798 22.5571i 1.42686 0.978893i
\(532\) 29.6740 7.95113i 1.28653 0.344725i
\(533\) 0.0663184 0.247504i 0.00287257 0.0107206i
\(534\) −4.32179 + 15.2993i −0.187022 + 0.662067i
\(535\) −4.76179 1.40846i −0.205870 0.0608929i
\(536\) 7.99814 0.840639i 0.345467 0.0363101i
\(537\) −2.45090 + 10.8104i −0.105764 + 0.466501i
\(538\) 3.50581 9.13295i 0.151146 0.393749i
\(539\) 7.26439 1.54409i 0.312899 0.0665088i
\(540\) −11.5934 0.769917i −0.498901 0.0331319i
\(541\) 1.29278 + 0.575582i 0.0555809 + 0.0247462i 0.434339 0.900750i \(-0.356982\pi\)
−0.378758 + 0.925496i \(0.623649\pi\)
\(542\) −0.989341 0.504095i −0.0424959 0.0216527i
\(543\) −6.83876 + 9.15020i −0.293479 + 0.392673i
\(544\) −1.15854 + 2.60212i −0.0496719 + 0.111565i
\(545\) −20.2034 7.14540i −0.865418 0.306075i
\(546\) 2.74629 0.106748i 0.117530 0.00456840i
\(547\) 38.6786 + 14.8473i 1.65378 + 0.634826i 0.993252 0.115977i \(-0.0370000\pi\)
0.660526 + 0.750803i \(0.270333\pi\)
\(548\) −0.418894 + 7.99298i −0.0178943 + 0.341443i
\(549\) −8.89045 2.14230i −0.379435 0.0914311i
\(550\) 3.88650 + 1.72670i 0.165721 + 0.0736265i
\(551\) 48.3915 + 5.08616i 2.06155 + 0.216678i
\(552\) 11.3836 + 5.25371i 0.484519 + 0.223613i
\(553\) 4.02636 + 15.0266i 0.171218 + 0.638995i
\(554\) −16.1104 11.7049i −0.684465 0.497293i
\(555\) 32.9449 19.5991i 1.39843 0.831935i
\(556\) −1.15387 + 3.55124i −0.0489349 + 0.150606i
\(557\) 14.2745 14.2745i 0.604829 0.604829i −0.336761 0.941590i \(-0.609332\pi\)
0.941590 + 0.336761i \(0.109332\pi\)
\(558\) −14.2087 + 8.78132i −0.601504 + 0.371743i
\(559\) 0.108788i 0.00460123i
\(560\) −2.96381 8.35903i −0.125244 0.353233i
\(561\) −2.59650 3.29648i −0.109624 0.139178i
\(562\) 2.51164 + 15.8579i 0.105947 + 0.668925i
\(563\) 16.1157 4.31819i 0.679196 0.181990i 0.0973025 0.995255i \(-0.468979\pi\)
0.581894 + 0.813265i \(0.302312\pi\)
\(564\) 8.45432 3.11494i 0.355991 0.131162i
\(565\) 18.7016 + 30.4911i 0.786781 + 1.28277i
\(566\) −3.46918 4.77492i −0.145821 0.200705i
\(567\) −34.9290 + 7.36316i −1.46688 + 0.309223i
\(568\) −8.02142 0.420385i −0.336571 0.0176390i
\(569\) −10.4477 + 4.65161i −0.437990 + 0.195006i −0.613872 0.789406i \(-0.710389\pi\)
0.175882 + 0.984411i \(0.443722\pi\)
\(570\) 29.8722 + 2.74558i 1.25121 + 0.115000i
\(571\) −26.0284 5.53250i −1.08925 0.231528i −0.371925 0.928263i \(-0.621302\pi\)
−0.717329 + 0.696735i \(0.754635\pi\)
\(572\) 0.317677 0.121945i 0.0132827 0.00509876i
\(573\) 5.36134 + 4.00701i 0.223973 + 0.167395i
\(574\) −2.41602 + 0.785014i −0.100843 + 0.0327658i
\(575\) −3.81164 35.9913i −0.158957 1.50094i
\(576\) 2.55660 + 1.56964i 0.106525 + 0.0654017i
\(577\) 28.2473 + 18.3440i 1.17595 + 0.763670i 0.976348 0.216207i \(-0.0693687\pi\)
0.199601 + 0.979877i \(0.436035\pi\)
\(578\) 8.29653 + 3.18474i 0.345090 + 0.132468i
\(579\) 19.7125 + 31.2715i 0.819224 + 1.29960i
\(580\) 0.362157 14.0426i 0.0150377 0.583088i
\(581\) 19.7315 + 27.1581i 0.818601 + 1.12671i
\(582\) −5.76055 + 3.22289i −0.238782 + 0.133593i
\(583\) −9.43286 2.52753i −0.390669 0.104680i
\(584\) 6.95816 12.0519i 0.287931 0.498711i
\(585\) 2.55199 + 0.830441i 0.105512 + 0.0343345i
\(586\) −7.28524 + 8.09108i −0.300951 + 0.334239i
\(587\) 2.76856 + 5.43361i 0.114271 + 0.224269i 0.941058 0.338246i \(-0.109834\pi\)
−0.826787 + 0.562515i \(0.809834\pi\)
\(588\) −8.72322 12.3541i −0.359740 0.509473i
\(589\) 37.2472 21.7350i 1.53474 0.895576i
\(590\) 18.1017 + 23.5713i 0.745236 + 0.970415i
\(591\) 6.91311 13.1263i 0.284367 0.539944i
\(592\) −9.88421 + 0.518010i −0.406239 + 0.0212901i
\(593\) 3.97860 + 25.1199i 0.163382 + 1.03155i 0.924011 + 0.382365i \(0.124890\pi\)
−0.760630 + 0.649186i \(0.775110\pi\)
\(594\) −3.80111 + 2.25495i −0.155961 + 0.0925218i
\(595\) 23.3352 9.67656i 0.956648 0.396700i
\(596\) 5.21298 + 0.547906i 0.213532 + 0.0224431i
\(597\) −0.415257 + 1.22163i −0.0169954 + 0.0499978i
\(598\) −2.25051 1.82242i −0.0920300 0.0745244i
\(599\) 15.1963 + 16.8772i 0.620905 + 0.689585i 0.968770 0.247960i \(-0.0797601\pi\)
−0.347865 + 0.937544i \(0.613093\pi\)
\(600\) 0.110136 8.65955i 0.00449630 0.353525i
\(601\) 44.1545 9.38533i 1.80110 0.382836i 0.819393 0.573232i \(-0.194311\pi\)
0.981707 + 0.190396i \(0.0609772\pi\)
\(602\) 0.904541 0.587416i 0.0368663 0.0239413i
\(603\) 24.1189 0.611326i 0.982196 0.0248951i
\(604\) 8.97472 2.91606i 0.365176 0.118653i
\(605\) −22.5926 + 4.19654i −0.918520 + 0.170614i
\(606\) −5.49513 + 8.21657i −0.223224 + 0.333776i
\(607\) −15.9897 24.6219i −0.649001 0.999374i −0.998059 0.0622727i \(-0.980165\pi\)
0.349058 0.937101i \(-0.386502\pi\)
\(608\) −6.49590 4.21849i −0.263443 0.171082i
\(609\) −10.6057 41.8337i −0.429766 1.69519i
\(610\) 1.23950 6.70257i 0.0501861 0.271379i
\(611\) −2.06968 + 0.217532i −0.0837301 + 0.00880039i
\(612\) −4.08367 + 7.50617i −0.165073 + 0.303419i
\(613\) 9.97950 + 12.3237i 0.403068 + 0.497748i 0.937753 0.347304i \(-0.112903\pi\)
−0.534684 + 0.845052i \(0.679569\pi\)
\(614\) 5.17343 + 8.96064i 0.208782 + 0.361622i
\(615\) −2.47868 0.0974462i −0.0999499 0.00392941i
\(616\) −2.72928 1.98294i −0.109966 0.0798949i
\(617\) 0.642362 + 12.2570i 0.0258605 + 0.493448i 0.980602 + 0.196011i \(0.0627987\pi\)
−0.954741 + 0.297438i \(0.903868\pi\)
\(618\) −2.51353 8.10688i −0.101109 0.326107i
\(619\) 20.6576i 0.830300i −0.909753 0.415150i \(-0.863729\pi\)
0.909753 0.415150i \(-0.136271\pi\)
\(620\) −7.10314 10.2247i −0.285269 0.410636i
\(621\) 32.7935 + 18.4195i 1.31596 + 0.739149i
\(622\) −23.4692 + 11.9582i −0.941030 + 0.479479i
\(623\) −36.3557 + 1.90532i −1.45656 + 0.0763351i
\(624\) −0.483311 0.496550i −0.0193479 0.0198779i
\(625\) −21.6308 + 12.5343i −0.865233 + 0.501371i
\(626\) −14.2546 + 8.22988i −0.569727 + 0.328932i
\(627\) 9.95816 5.57135i 0.397691 0.222498i
\(628\) −3.30771 + 20.8841i −0.131992 + 0.833365i
\(629\) −2.94692 28.0381i −0.117501 1.11795i
\(630\) −6.87494 25.7032i −0.273904 1.02404i
\(631\) −21.0284 + 9.36247i −0.837129 + 0.372714i −0.780097 0.625658i \(-0.784830\pi\)
−0.0570320 + 0.998372i \(0.518164\pi\)
\(632\) 2.13619 3.28944i 0.0849730 0.130847i
\(633\) −7.42255 17.2965i −0.295020 0.687472i
\(634\) 8.88836 19.9636i 0.353002 0.792855i
\(635\) −14.3420 9.84862i −0.569144 0.390830i
\(636\) 2.84529 + 19.6817i 0.112823 + 0.780432i
\(637\) 1.25183 + 3.26114i 0.0495995 + 0.129211i
\(638\) −2.91019 4.48130i −0.115216 0.177416i
\(639\) −23.8885 3.16537i −0.945014 0.125220i
\(640\) −1.06618 + 1.96552i −0.0421445 + 0.0776939i
\(641\) −15.9181 + 14.3327i −0.628726 + 0.566107i −0.920677 0.390326i \(-0.872362\pi\)
0.291951 + 0.956433i \(0.405696\pi\)
\(642\) 2.53492 + 2.89297i 0.100045 + 0.114176i
\(643\) −7.04176 + 44.4599i −0.277700 + 1.75333i 0.316109 + 0.948723i \(0.397624\pi\)
−0.593809 + 0.804606i \(0.702376\pi\)
\(644\) −3.00102 + 28.5528i −0.118257 + 1.12514i
\(645\) 1.02720 0.232407i 0.0404461 0.00915101i
\(646\) 11.0310 19.1062i 0.434008 0.751724i
\(647\) 20.5275 3.25123i 0.807017 0.127819i 0.260725 0.965413i \(-0.416039\pi\)
0.546293 + 0.837594i \(0.316039\pi\)
\(648\) 7.27227 + 5.30228i 0.285682 + 0.208293i
\(649\) 10.7517 + 3.49342i 0.422039 + 0.137129i
\(650\) −0.516190 + 1.93257i −0.0202466 + 0.0758014i
\(651\) −29.5105 24.3343i −1.15661 0.953738i
\(652\) −7.39255 7.39255i −0.289515 0.289515i
\(653\) −22.7862 + 11.6101i −0.891692 + 0.454340i −0.838912 0.544266i \(-0.816808\pi\)
−0.0527797 + 0.998606i \(0.516808\pi\)
\(654\) 10.2711 + 13.0401i 0.401633 + 0.509908i
\(655\) −29.3529 27.8328i −1.14691 1.08752i
\(656\) 0.554677 + 0.320243i 0.0216565 + 0.0125034i
\(657\) 23.6757 34.3866i 0.923678 1.34155i
\(658\) 12.9842 + 16.0342i 0.506178 + 0.625078i
\(659\) 3.47473 2.52454i 0.135356 0.0983421i −0.518047 0.855352i \(-0.673341\pi\)
0.653403 + 0.757010i \(0.273341\pi\)
\(660\) −1.83010 2.73908i −0.0712365 0.106618i
\(661\) 18.8069 + 20.8872i 0.731504 + 0.812417i 0.988053 0.154114i \(-0.0492523\pi\)
−0.256549 + 0.966531i \(0.582586\pi\)
\(662\) −0.339798 + 0.885204i −0.0132066 + 0.0344044i
\(663\) 1.34037 1.44879i 0.0520557 0.0562662i
\(664\) 1.75969 8.27868i 0.0682891 0.321275i
\(665\) 16.0627 + 66.7895i 0.622885 + 2.58999i
\(666\) −29.6825 0.802184i −1.15017 0.0310840i
\(667\) −20.6444 + 40.5170i −0.799356 + 1.56882i
\(668\) −7.61979 19.8502i −0.294818 0.768028i
\(669\) −39.4330 15.7514i −1.52457 0.608982i
\(670\) 1.41802 + 17.9269i 0.0547828 + 0.692577i
\(671\) −1.05457 2.36861i −0.0407114 0.0914393i
\(672\) −1.51896 + 6.69980i −0.0585953 + 0.258450i
\(673\) 7.97564 + 6.45855i 0.307438 + 0.248959i 0.770606 0.637312i \(-0.219954\pi\)
−0.463167 + 0.886271i \(0.653287\pi\)
\(674\) −24.9471 + 18.1252i −0.960928 + 0.698155i
\(675\) 2.38936 25.8707i 0.0919665 0.995762i
\(676\) −6.41997 11.1197i −0.246922 0.427682i
\(677\) 4.57751 + 17.0835i 0.175928 + 0.656572i 0.996392 + 0.0848737i \(0.0270487\pi\)
−0.820464 + 0.571699i \(0.806285\pi\)
\(678\) 0.374294 27.7044i 0.0143747 1.06398i
\(679\) −11.2330 10.1143i −0.431084 0.388149i
\(680\) −5.74979 2.73971i −0.220494 0.105063i
\(681\) −17.4116 2.99939i −0.667215 0.114937i
\(682\) −4.42898 1.67666i −0.169594 0.0642026i
\(683\) −4.44349 4.44349i −0.170025 0.170025i 0.616965 0.786991i \(-0.288362\pi\)
−0.786991 + 0.616965i \(0.788362\pi\)
\(684\) −18.4228 14.1609i −0.704414 0.541455i
\(685\) −17.8427 1.39715i −0.681736 0.0533823i
\(686\) 4.03671 5.55606i 0.154122 0.212131i
\(687\) 2.18244 + 23.8612i 0.0832652 + 0.910360i
\(688\) −0.262661 0.0703798i −0.0100139 0.00268320i
\(689\) 0.480128 4.56812i 0.0182914 0.174031i
\(690\) −12.4000 + 25.1432i −0.472060 + 0.957185i
\(691\) −3.36386 32.0050i −0.127967 1.21753i −0.850419 0.526105i \(-0.823652\pi\)
0.722452 0.691421i \(-0.243015\pi\)
\(692\) −24.1775 1.26709i −0.919090 0.0481675i
\(693\) −7.69035 6.57934i −0.292132 0.249929i
\(694\) −0.996321 4.68732i −0.0378198 0.177928i
\(695\) −7.87166 2.78399i −0.298589 0.105603i
\(696\) −6.04894 + 9.04467i −0.229285 + 0.342837i
\(697\) −0.828234 + 1.62550i −0.0313716 + 0.0615702i
\(698\) −13.7457 + 26.9775i −0.520283 + 1.02111i
\(699\) −15.9371 + 23.8299i −0.602796 + 0.901329i
\(700\) 18.8560 6.14319i 0.712690 0.232191i
\(701\) −1.18262 5.56377i −0.0446668 0.210141i 0.950155 0.311779i \(-0.100925\pi\)
−0.994821 + 0.101638i \(0.967592\pi\)
\(702\) −1.32725 1.59993i −0.0500937 0.0603855i
\(703\) 76.5579 + 4.01223i 2.88743 + 0.151324i
\(704\) 0.0889078 + 0.845901i 0.00335084 + 0.0318811i
\(705\) 6.47551 + 19.0777i 0.243882 + 0.718509i
\(706\) 0.121085 1.15205i 0.00455711 0.0433580i
\(707\) −21.8642 5.85851i −0.822290 0.220332i
\(708\) −2.09684 22.9253i −0.0788042 0.861586i
\(709\) −17.5360 + 24.1363i −0.658580 + 0.906457i −0.999433 0.0336593i \(-0.989284\pi\)
0.340854 + 0.940116i \(0.389284\pi\)
\(710\) 1.40212 17.9062i 0.0526207 0.672010i
\(711\) 7.17090 9.32908i 0.268930 0.349868i
\(712\) 6.49035 + 6.49035i 0.243236 + 0.243236i
\(713\) 6.48875 + 39.7765i 0.243005 + 1.48964i
\(714\) −19.2838 3.32189i −0.721678 0.124319i
\(715\) 0.254272 + 0.717141i 0.00950925 + 0.0268195i
\(716\) 4.75595 + 4.28227i 0.177738 + 0.160036i
\(717\) −0.203942 + 15.0953i −0.00761635 + 0.563745i
\(718\) 1.86086 + 6.94483i 0.0694468 + 0.259179i
\(719\) −12.6772 21.9576i −0.472780 0.818880i 0.526734 0.850030i \(-0.323416\pi\)
−0.999515 + 0.0311503i \(0.990083\pi\)
\(720\) −3.65604 + 5.62435i −0.136253 + 0.209607i
\(721\) 15.7241 11.4243i 0.585598 0.425462i
\(722\) 31.8570 + 25.7973i 1.18559 + 0.960076i
\(723\) 8.04940 35.5040i 0.299360 1.32041i
\(724\) 2.68256 + 6.02513i 0.0996966 + 0.223922i
\(725\) 31.3689 + 1.61908i 1.16501 + 0.0601309i
\(726\) 16.5296 + 6.60267i 0.613470 + 0.245048i
\(727\) −14.3822 37.4670i −0.533407 1.38957i −0.890277 0.455419i \(-0.849489\pi\)
0.356870 0.934154i \(-0.383844\pi\)
\(728\) 0.720378 1.41382i 0.0266990 0.0523997i
\(729\) 20.4868 + 17.5867i 0.758769 + 0.651360i
\(730\) 26.5388 + 16.2485i 0.982243 + 0.601385i
\(731\) 0.161038 0.757622i 0.00595619 0.0280217i
\(732\) −3.58557 + 3.87559i −0.132527 + 0.143246i
\(733\) 6.91016 18.0016i 0.255233 0.664904i −0.744764 0.667327i \(-0.767438\pi\)
0.999997 + 0.00242377i \(0.000771511\pi\)
\(734\) 8.47214 + 9.40926i 0.312712 + 0.347302i
\(735\) 28.1182 18.7870i 1.03716 0.692970i
\(736\) 5.85608 4.25469i 0.215858 0.156830i
\(737\) 4.30479 + 5.31597i 0.158569 + 0.195816i
\(738\) 1.58261 + 1.08965i 0.0582567 + 0.0401107i
\(739\) −4.02869 2.32596i −0.148198 0.0855620i 0.424068 0.905631i \(-0.360602\pi\)
−0.572265 + 0.820069i \(0.693935\pi\)
\(740\) −0.588108 22.1243i −0.0216193 0.813305i
\(741\) 3.32095 + 4.21624i 0.121998 + 0.154887i
\(742\) −40.5752 + 20.6741i −1.48956 + 0.758969i
\(743\) 19.1925 + 19.1925i 0.704105 + 0.704105i 0.965289 0.261184i \(-0.0841129\pi\)
−0.261184 + 0.965289i \(0.584113\pi\)
\(744\) 0.419140 + 9.63454i 0.0153664 + 0.353219i
\(745\) −1.52527 + 11.6211i −0.0558815 + 0.425765i
\(746\) −2.94750 0.957701i −0.107916 0.0350639i
\(747\) 7.23182 24.3392i 0.264599 0.890526i
\(748\) −2.39289 + 0.378996i −0.0874925 + 0.0138575i
\(749\) −4.40406 + 7.62805i −0.160921 + 0.278723i
\(750\) 19.3506 + 0.745402i 0.706583 + 0.0272182i
\(751\) 2.12805 20.2471i 0.0776538 0.738826i −0.884541 0.466463i \(-0.845528\pi\)
0.962194 0.272363i \(-0.0878052\pi\)
\(752\) 0.813752 5.13783i 0.0296745 0.187357i
\(753\) −4.81217 5.49187i −0.175365 0.200135i
\(754\) 1.86771 1.68169i 0.0680179 0.0612436i
\(755\) 6.00097 + 20.2295i 0.218398 + 0.736228i
\(756\) −6.13633 + 19.6748i −0.223176 + 0.715564i
\(757\) −13.7628 21.1928i −0.500216 0.770265i 0.494903 0.868948i \(-0.335204\pi\)
−0.995119 + 0.0986832i \(0.968537\pi\)
\(758\) 2.62110 + 6.82820i 0.0952027 + 0.248012i
\(759\) 1.52576 + 10.5542i 0.0553816 + 0.383092i
\(760\) 9.80416 14.2773i 0.355634 0.517890i
\(761\) 1.32760 2.98184i 0.0481255 0.108092i −0.887883 0.460070i \(-0.847824\pi\)
0.936008 + 0.351978i \(0.114491\pi\)
\(762\) 5.31452 + 12.3842i 0.192525 + 0.448632i
\(763\) −20.7026 + 31.8793i −0.749486 + 1.15411i
\(764\) 3.53028 1.57178i 0.127721 0.0568650i
\(765\) −16.5433 9.56106i −0.598124 0.345681i
\(766\) 1.14495 + 10.8935i 0.0413689 + 0.393599i
\(767\) −0.831811 + 5.25185i −0.0300349 + 0.189633i
\(768\) 1.51156 0.845683i 0.0545438 0.0305159i
\(769\) −15.7604 + 9.09924i −0.568333 + 0.328127i −0.756483 0.654013i \(-0.773084\pi\)
0.188150 + 0.982140i \(0.439751\pi\)
\(770\) 4.58985 5.98651i 0.165407 0.215739i
\(771\) −2.77776 2.85385i −0.100039 0.102779i
\(772\) 21.3131 1.11697i 0.767076 0.0402007i
\(773\) 22.4877 11.4581i 0.808827 0.412118i −0.000119364 1.00000i \(-0.500038\pi\)
0.808947 + 0.587882i \(0.200038\pi\)
\(774\) −0.768759 0.272958i −0.0276325 0.00981127i
\(775\) 23.2651 15.2884i 0.835708 0.549175i
\(776\) 3.81099i 0.136807i
\(777\) −20.1364 64.9460i −0.722389 2.32992i
\(778\) −0.0501097 0.956150i −0.00179652 0.0342796i
\(779\) −4.01342 2.91592i −0.143796 0.104474i
\(780\) 1.13781 1.05173i 0.0407402 0.0376581i
\(781\) −3.41604 5.91675i −0.122235 0.211718i
\(782\) 12.9753 + 16.0232i 0.463996 + 0.572987i
\(783\) −20.2413 + 25.6096i −0.723365 + 0.915212i
\(784\) −8.68367 + 0.912691i −0.310131 + 0.0325961i
\(785\) −46.4920 8.59775i −1.65937 0.306867i
\(786\) 7.69998 + 30.3721i 0.274649 + 1.08334i
\(787\) −34.0617 22.1199i −1.21417 0.788491i −0.231316 0.972879i \(-0.574303\pi\)
−0.982854 + 0.184388i \(0.940970\pi\)
\(788\) −4.66497 7.18343i −0.166183 0.255899i
\(789\) −21.6166 + 32.3221i −0.769570 + 1.15070i
\(790\) 7.22982 + 4.96471i 0.257226 + 0.176636i
\(791\) 60.3419 19.6063i 2.14551 0.697119i
\(792\) 0.0646552 + 2.55086i 0.00229742 + 0.0906410i
\(793\) 1.02277 0.664195i 0.0363197 0.0235863i
\(794\) 27.1617 5.77339i 0.963932 0.204890i
\(795\) −44.1591 + 5.22552i −1.56616 + 0.185330i
\(796\) 0.498462 + 0.553598i 0.0176675 + 0.0196218i
\(797\) 31.5917 + 25.5824i 1.11903 + 0.906176i 0.996273 0.0862606i \(-0.0274918\pi\)
0.122761 + 0.992436i \(0.460825\pi\)
\(798\) 17.1249 50.3790i 0.606216 1.78340i
\(799\) 14.7357 + 1.54878i 0.521311 + 0.0547920i
\(800\) −4.33210 2.49657i −0.153163 0.0882671i
\(801\) 17.8658 + 20.9537i 0.631256 + 0.740362i
\(802\) 1.76649 + 11.1532i 0.0623770 + 0.393833i
\(803\) 11.8205 0.619484i 0.417135 0.0218611i
\(804\) 6.49095 12.3247i 0.228918 0.434659i
\(805\) −63.6518 8.35428i −2.24343 0.294450i
\(806\) 0.453030 2.18090i 0.0159573 0.0768189i
\(807\) −9.77343 13.8414i −0.344041 0.487240i
\(808\) 2.59091 + 5.08495i 0.0911479 + 0.178888i
\(809\) 4.25865 4.72972i 0.149726 0.166288i −0.663616 0.748073i \(-0.730979\pi\)
0.813342 + 0.581786i \(0.197646\pi\)
\(810\) −12.2715 + 15.9502i −0.431178 + 0.560433i
\(811\) −2.75425 + 4.77050i −0.0967148 + 0.167515i −0.910323 0.413899i \(-0.864167\pi\)
0.813608 + 0.581414i \(0.197500\pi\)
\(812\) −24.0678 6.44895i −0.844614 0.226314i
\(813\) −1.67838 + 0.939016i −0.0588635 + 0.0329327i
\(814\) −4.94836 6.81084i −0.173440 0.238720i
\(815\) 16.9509 16.0986i 0.593765 0.563909i
\(816\) 2.63085 + 4.17352i 0.0920981 + 0.146102i
\(817\) 1.96631 + 0.754794i 0.0687923 + 0.0264069i
\(818\) 0.743564 + 0.482876i 0.0259981 + 0.0168834i
\(819\) 2.49066 4.05674i 0.0870306 0.141754i
\(820\) −0.747824 + 1.22142i −0.0261151 + 0.0426539i
\(821\) 21.2903 6.91763i 0.743036 0.241427i 0.0870541 0.996204i \(-0.472255\pi\)
0.655982 + 0.754776i \(0.272255\pi\)
\(822\) 11.1045 + 8.29938i 0.387314 + 0.289474i
\(823\) 35.3849 13.5830i 1.23344 0.473473i 0.347678 0.937614i \(-0.386970\pi\)
0.885761 + 0.464141i \(0.153637\pi\)
\(824\) −4.79324 1.01883i −0.166980 0.0354927i
\(825\) 6.22823 3.93296i 0.216839 0.136928i
\(826\) 48.1592 21.4418i 1.67567 0.746057i
\(827\) −46.6095 2.44270i −1.62077 0.0849410i −0.779803 0.626025i \(-0.784681\pi\)
−0.840968 + 0.541084i \(0.818014\pi\)
\(828\) 18.5250 11.3308i 0.643790 0.393772i
\(829\) 15.6585 + 21.5521i 0.543842 + 0.748535i 0.989161 0.146838i \(-0.0469095\pi\)
−0.445318 + 0.895372i \(0.646909\pi\)
\(830\) 18.4041 + 4.41073i 0.638815 + 0.153099i
\(831\) −32.3644 + 11.9244i −1.12271 + 0.413654i
\(832\) −0.386431 + 0.103544i −0.0133971 + 0.00358974i
\(833\) −3.89061 24.5644i −0.134802 0.851105i
\(834\) 4.00184 + 5.08069i 0.138572 + 0.175930i
\(835\) 44.8110 15.8884i 1.55075 0.549839i
\(836\) 6.58799i 0.227851i
\(837\) −1.03847 + 28.9123i −0.0358946 + 0.999356i
\(838\) 5.64237 5.64237i 0.194912 0.194912i
\(839\) 1.84427 5.67609i 0.0636714 0.195960i −0.914160 0.405353i \(-0.867149\pi\)
0.977832 + 0.209393i \(0.0671486\pi\)
\(840\) −14.8887 3.78161i −0.513707 0.130478i
\(841\) −8.46655 6.15131i −0.291950 0.212114i
\(842\) 5.06082 + 18.8872i 0.174407 + 0.650897i
\(843\) 25.2497 + 11.6531i 0.869646 + 0.401355i
\(844\) −10.8073 1.13589i −0.372001 0.0390989i
\(845\) 25.2263 13.7097i 0.867811 0.471628i
\(846\) 3.65579 15.1714i 0.125689 0.521602i
\(847\) −2.13320 + 40.7040i −0.0732978 + 1.39860i
\(848\) 10.7188 + 4.11456i 0.368085 + 0.141295i
\(849\) −10.2151 + 0.397060i −0.350580 + 0.0136271i
\(850\) 6.45562 12.6947i 0.221426 0.435425i
\(851\) −29.1407 + 65.4511i −0.998930 + 2.24363i
\(852\) −8.32891 + 11.1440i −0.285344 + 0.381788i
\(853\) 23.8337 + 12.1439i 0.816050 + 0.415798i 0.811615 0.584192i \(-0.198588\pi\)
0.00443436 + 0.999990i \(0.498588\pi\)
\(854\) −11.0452 4.91764i −0.377959 0.168278i
\(855\) 32.7162 40.3646i 1.11887 1.38044i
\(856\) 2.17221 0.461718i 0.0742446 0.0157812i
\(857\) −14.5931 + 38.0162i −0.498489 + 1.29861i 0.421558 + 0.906801i \(0.361483\pi\)
−0.920047 + 0.391807i \(0.871850\pi\)
\(858\) 0.130315 0.574791i 0.00444890 0.0196231i
\(859\) 5.73411 0.602680i 0.195645 0.0205632i −0.00619886 0.999981i \(-0.501973\pi\)
0.201844 + 0.979418i \(0.435307\pi\)
\(860\) 0.172464 0.583075i 0.00588096 0.0198827i
\(861\) −1.19612 + 4.23433i −0.0407637 + 0.144306i
\(862\) 0.868968 3.24303i 0.0295972 0.110458i
\(863\) 16.2979 4.36700i 0.554785 0.148654i 0.0294759 0.999565i \(-0.490616\pi\)
0.525310 + 0.850911i \(0.323950\pi\)
\(864\) 4.72158 2.16948i 0.160632 0.0738072i
\(865\) 4.22615 53.9715i 0.143693 1.83509i
\(866\) 1.20687 + 0.392137i 0.0410112 + 0.0133254i
\(867\) 12.5738 8.87835i 0.427027 0.301525i
\(868\) −20.5798 + 8.00927i −0.698524 + 0.271852i
\(869\) 3.33608 0.113169
\(870\) −19.8691 14.0428i −0.673624 0.476094i
\(871\) −2.15285 + 2.39098i −0.0729466 + 0.0810154i
\(872\) 9.46568 1.49922i 0.320548 0.0507699i
\(873\) −0.906583 + 11.3970i −0.0306832 + 0.385729i
\(874\) −48.5543 + 28.0328i −1.64237 + 0.948224i
\(875\) 12.6450 + 42.5034i 0.427479 + 1.43688i
\(876\) −10.6518 21.6225i −0.359890 0.730556i
\(877\) −25.8780 + 31.9566i −0.873837 + 1.07910i 0.122404 + 0.992480i \(0.460940\pi\)
−0.996242 + 0.0866187i \(0.972394\pi\)
\(878\) −0.113256 + 2.16105i −0.00382221 + 0.0729320i
\(879\) 4.63427 + 18.2796i 0.156310 + 0.616556i
\(880\) −1.89599 + 0.149973i −0.0639138 + 0.00505558i
\(881\) 1.38546 6.51808i 0.0466774 0.219600i −0.948627 0.316398i \(-0.897527\pi\)
0.995304 + 0.0967977i \(0.0308600\pi\)
\(882\) −26.1861 + 0.663723i −0.881732 + 0.0223487i
\(883\) 11.4379 + 5.82789i 0.384915 + 0.196124i 0.635731 0.771911i \(-0.280699\pi\)
−0.250816 + 0.968035i \(0.580699\pi\)
\(884\) −0.352133 1.08376i −0.0118435 0.0364506i
\(885\) 51.3664 3.36551i 1.72666 0.113130i
\(886\) −21.6981 4.61207i −0.728961 0.154946i
\(887\) 5.08315 7.82737i 0.170676 0.262817i −0.742974 0.669320i \(-0.766585\pi\)
0.913649 + 0.406503i \(0.133252\pi\)
\(888\) −8.77151 + 14.7295i −0.294352 + 0.494290i
\(889\) −22.9335 + 20.6495i −0.769166 + 0.692560i
\(890\) −14.8822 + 14.1339i −0.498852 + 0.473769i
\(891\) −0.413461 + 7.64387i −0.0138515 + 0.256079i
\(892\) −19.0523 + 15.4283i −0.637919 + 0.516577i
\(893\) −10.4281 + 38.9181i −0.348962 + 1.30234i
\(894\) 5.80832 6.97779i 0.194259 0.233372i
\(895\) −9.84645 + 10.3842i −0.329130 + 0.347106i
\(896\) 2.94753 + 2.65397i 0.0984701 + 0.0886629i
\(897\) −4.79079 + 1.48538i −0.159960 + 0.0495953i
\(898\) −18.4200 + 18.4200i −0.614682 + 0.614682i
\(899\) −34.9771 + 0.161806i −1.16655 + 0.00539654i
\(900\) −12.3615 8.49668i −0.412050 0.283223i
\(901\) −10.1059 + 31.1026i −0.336675 + 1.03618i
\(902\) 0.0285112 + 0.544026i 0.000949319 + 0.0181141i
\(903\) 0.0252361 1.86792i 0.000839804 0.0621604i
\(904\) −13.8535 7.99829i −0.460759 0.266019i
\(905\) −13.6228 + 5.64905i −0.452836 + 0.187781i
\(906\) 4.44319 15.7291i 0.147615 0.522565i
\(907\) 37.8690 + 5.99786i 1.25742 + 0.199156i 0.749358 0.662165i \(-0.230362\pi\)
0.508062 + 0.861321i \(0.330362\pi\)
\(908\) −6.41949 + 7.92741i −0.213038 + 0.263080i
\(909\) 6.53862 + 15.8231i 0.216872 + 0.524821i
\(910\) 3.11882 + 1.69178i 0.103388 + 0.0560821i
\(911\) 6.63170 + 31.1997i 0.219718 + 1.03369i 0.940307 + 0.340329i \(0.110538\pi\)
−0.720589 + 0.693363i \(0.756128\pi\)
\(912\) −12.3283 + 5.29053i −0.408231 + 0.175187i
\(913\) 6.72069 2.57983i 0.222422 0.0853799i
\(914\) 1.61196 + 4.96110i 0.0533189 + 0.164099i
\(915\) −8.45650 8.23834i −0.279563 0.272351i
\(916\) 12.6378 + 5.62669i 0.417563 + 0.185911i
\(917\) −60.1752 + 39.0782i −1.98716 + 1.29048i
\(918\) 6.87487 + 13.1070i 0.226905 + 0.432595i
\(919\) 2.33253 + 5.23895i 0.0769431 + 0.172817i 0.947921 0.318505i \(-0.103181\pi\)
−0.870978 + 0.491322i \(0.836514\pi\)
\(920\) 9.17301 + 13.3355i 0.302425 + 0.439659i
\(921\) 17.8824 + 1.17961i 0.589245 + 0.0388694i
\(922\) −36.7623 5.82258i −1.21070 0.191756i
\(923\) 2.49734 2.02231i 0.0822010 0.0665651i
\(924\) −5.48289 + 2.02013i −0.180374 + 0.0664575i
\(925\) 49.4889 0.0391779i 1.62718 0.00128816i
\(926\) 8.17517 11.2522i 0.268653 0.369769i
\(927\) −14.0921 4.18712i −0.462844 0.137523i
\(928\) 2.85203 + 5.59742i 0.0936225 + 0.183744i
\(929\) 47.2249 1.54940 0.774699 0.632330i \(-0.217901\pi\)
0.774699 + 0.632330i \(0.217901\pi\)
\(930\) −21.5605 + 0.381495i −0.706996 + 0.0125097i
\(931\) 67.6296 2.21647
\(932\) 7.51421 + 14.7475i 0.246136 + 0.483070i
\(933\) −5.38135 + 45.3039i −0.176177 + 1.48318i
\(934\) −3.01804 + 4.15398i −0.0987533 + 0.135922i
\(935\) −0.709232 5.37072i −0.0231944 0.175641i
\(936\) −1.18027 + 0.217727i −0.0385785 + 0.00711663i
\(937\) 33.2941 26.9611i 1.08767 0.880780i 0.0942797 0.995546i \(-0.469945\pi\)
0.993393 + 0.114766i \(0.0366119\pi\)
\(938\) 31.5050 + 4.98991i 1.02868 + 0.162926i
\(939\) −1.87652 + 28.4473i −0.0612379 + 0.928343i
\(940\) 11.4378 + 2.11519i 0.373060 + 0.0689898i
\(941\) −4.23191 9.50503i −0.137956 0.309855i 0.831334 0.555773i \(-0.187577\pi\)
−0.969291 + 0.245917i \(0.920911\pi\)
\(942\) 26.8828 + 24.8711i 0.875888 + 0.810344i
\(943\) 3.88821 2.52504i 0.126618 0.0822265i
\(944\) −12.1421 5.40601i −0.395192 0.175951i
\(945\) −43.6257 14.8509i −1.41914 0.483100i
\(946\) −0.0714726 0.219970i −0.00232377 0.00715184i
\(947\) 32.1858 12.3550i 1.04590 0.401482i 0.226081 0.974109i \(-0.427409\pi\)
0.819816 + 0.572626i \(0.194075\pi\)
\(948\) −2.67906 6.24290i −0.0870118 0.202760i
\(949\) 1.15753 + 5.44574i 0.0375750 + 0.176776i
\(950\) 31.3491 + 22.7386i 1.01710 + 0.737736i
\(951\) −20.1840 32.0195i −0.654512 1.03830i
\(952\) −7.10974 + 8.77979i −0.230428 + 0.284555i
\(953\) −42.5678 6.74208i −1.37891 0.218397i −0.577438 0.816435i \(-0.695947\pi\)
−0.801468 + 0.598037i \(0.795947\pi\)
\(954\) 31.0763 + 14.8547i 1.00613 + 0.480938i
\(955\) 3.30992 + 7.98193i 0.107107 + 0.258289i
\(956\) 7.54834 + 4.35804i 0.244131 + 0.140949i
\(957\) −9.25409 0.125025i −0.299142 0.00404149i
\(958\) 0.204594 + 3.90390i 0.00661015 + 0.126129i
\(959\) −9.81006 + 30.1923i −0.316783 + 0.974959i
\(960\) 1.80324 + 3.42759i 0.0581992 + 0.110625i
\(961\) −24.9099 + 18.4526i −0.803544 + 0.595245i
\(962\) 2.79995 2.79995i 0.0902742 0.0902742i
\(963\) 6.60595 0.864052i 0.212874 0.0278437i
\(964\) −15.6198 14.0641i −0.503079 0.452974i
\(965\) 1.26812 + 47.7061i 0.0408224 + 1.53571i
\(966\) 38.2191 + 31.8136i 1.22968 + 1.02359i
\(967\) 14.2010 52.9990i 0.456674 1.70433i −0.226445 0.974024i \(-0.572710\pi\)
0.683119 0.730307i \(-0.260623\pi\)
\(968\) 7.98638 6.46724i 0.256692 0.207865i
\(969\) −16.8866 34.2788i −0.542474 1.10119i
\(970\) −8.51880 0.219698i −0.273522 0.00705409i
\(971\) −21.9874 + 19.7975i −0.705609 + 0.635333i −0.941722 0.336393i \(-0.890793\pi\)
0.236113 + 0.971726i \(0.424126\pi\)
\(972\) 14.6362 5.36474i 0.469458 0.172074i
\(973\) −8.06618 + 12.4208i −0.258590 + 0.398193i
\(974\) 29.5378 + 6.27845i 0.946452 + 0.201175i
\(975\) 2.28537 + 2.60401i 0.0731904 + 0.0833950i
\(976\) 0.941979 + 2.89911i 0.0301520 + 0.0927983i
\(977\) 48.2166 + 24.5676i 1.54259 + 0.785987i 0.998589 0.0530990i \(-0.0169099\pi\)
0.543998 + 0.839087i \(0.316910\pi\)
\(978\) −17.7615 + 3.52524i −0.567951 + 0.112725i
\(979\) −1.62318 + 7.63647i −0.0518771 + 0.244063i
\(980\) −1.53956 19.4634i −0.0491794 0.621737i
\(981\) 28.6643 2.23173i 0.915180 0.0712537i
\(982\) −0.977904 + 18.6595i −0.0312062 + 0.595449i
\(983\) 18.5358 22.8898i 0.591200 0.730071i −0.390479 0.920612i \(-0.627691\pi\)
0.981679 + 0.190540i \(0.0610240\pi\)
\(984\) 0.995155 0.490237i 0.0317244 0.0156282i
\(985\) 16.3262 10.0136i 0.520197 0.319060i
\(986\) −15.4965 + 8.94693i −0.493510 + 0.284928i
\(987\) 35.5874 3.25497i 1.13276 0.103607i
\(988\) 3.06053 0.484740i 0.0973683 0.0154216i
\(989\) −1.31708 + 1.46276i −0.0418806 + 0.0465132i
\(990\) −5.70573 0.00252846i −0.181340 8.03598e-5i
\(991\) 10.3672 0.329324 0.164662 0.986350i \(-0.447347\pi\)
0.164662 + 0.986350i \(0.447347\pi\)
\(992\) 4.97255 + 2.50474i 0.157879 + 0.0795254i
\(993\) 0.947282 + 1.34157i 0.0300611 + 0.0425733i
\(994\) −30.2997 9.84497i −0.961048 0.312264i
\(995\) −1.26621 + 1.08231i −0.0401415 + 0.0343116i
\(996\) −10.2248 10.5049i −0.323985 0.332860i
\(997\) 16.3504 4.38107i 0.517822 0.138750i 0.00956304 0.999954i \(-0.496956\pi\)
0.508259 + 0.861204i \(0.330289\pi\)
\(998\) −5.58630 + 20.8484i −0.176831 + 0.659943i
\(999\) −29.7356 + 41.9628i −0.940793 + 1.32764i
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 930.2.bs.a.107.1 1024
3.2 odd 2 inner 930.2.bs.a.107.62 yes 1024
5.3 odd 4 inner 930.2.bs.a.293.17 yes 1024
15.8 even 4 inner 930.2.bs.a.293.49 yes 1024
31.20 even 15 inner 930.2.bs.a.857.49 yes 1024
93.20 odd 30 inner 930.2.bs.a.857.17 yes 1024
155.113 odd 60 inner 930.2.bs.a.113.62 yes 1024
465.113 even 60 inner 930.2.bs.a.113.1 yes 1024
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
930.2.bs.a.107.1 1024 1.1 even 1 trivial
930.2.bs.a.107.62 yes 1024 3.2 odd 2 inner
930.2.bs.a.113.1 yes 1024 465.113 even 60 inner
930.2.bs.a.113.62 yes 1024 155.113 odd 60 inner
930.2.bs.a.293.17 yes 1024 5.3 odd 4 inner
930.2.bs.a.293.49 yes 1024 15.8 even 4 inner
930.2.bs.a.857.17 yes 1024 93.20 odd 30 inner
930.2.bs.a.857.49 yes 1024 31.20 even 15 inner