Properties

Label 507.2.p.a.25.5
Level $507$
Weight $2$
Character 507.25
Analytic conductor $4.048$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [507,2,Mod(25,507)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(507, base_ring=CyclotomicField(26))
 
chi = DirichletCharacter(H, H._module([0, 3]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("507.25");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 507 = 3 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 507.p (of order \(26\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(4.04841538248\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(14\) over \(\Q(\zeta_{26})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{26}]$

Embedding invariants

Embedding label 25.5
Character \(\chi\) \(=\) 507.25
Dual form 507.2.p.a.142.5

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.911757 - 0.345784i) q^{2} +(0.568065 + 0.822984i) q^{3} +(-0.785288 - 0.695704i) q^{4} +(2.27932 + 0.276760i) q^{5} +(-0.233362 - 0.946788i) q^{6} +(1.78194 + 3.39521i) q^{7} +(1.38175 + 2.63271i) q^{8} +(-0.354605 + 0.935016i) q^{9} +O(q^{10})\) \(q+(-0.911757 - 0.345784i) q^{2} +(0.568065 + 0.822984i) q^{3} +(-0.785288 - 0.695704i) q^{4} +(2.27932 + 0.276760i) q^{5} +(-0.233362 - 0.946788i) q^{6} +(1.78194 + 3.39521i) q^{7} +(1.38175 + 2.63271i) q^{8} +(-0.354605 + 0.935016i) q^{9} +(-1.98249 - 1.04049i) q^{10} +(-0.0539466 + 0.0204593i) q^{11} +(0.126459 - 1.04148i) q^{12} +(-1.20767 - 3.39728i) q^{13} +(-0.450690 - 3.71177i) q^{14} +(1.06703 + 2.03306i) q^{15} +(-0.0965561 - 0.795211i) q^{16} +(-4.90759 + 2.57570i) q^{17} +(0.646627 - 0.729891i) q^{18} +6.27486i q^{19} +(-1.59738 - 1.80307i) q^{20} +(-1.78194 + 3.39521i) q^{21} +0.0562607 q^{22} +3.51596 q^{23} +(-1.38175 + 2.63271i) q^{24} +(0.263995 + 0.0650689i) q^{25} +(-0.0736285 + 3.51509i) q^{26} +(-0.970942 + 0.239316i) q^{27} +(0.962722 - 3.90592i) q^{28} +(2.75100 - 7.25379i) q^{29} +(-0.269875 - 2.22262i) q^{30} +(1.70007 + 6.89744i) q^{31} +(1.23617 - 5.01534i) q^{32} +(-0.0474828 - 0.0327750i) q^{33} +(5.36517 - 0.651449i) q^{34} +(3.12196 + 8.23193i) q^{35} +(0.928962 - 0.487557i) q^{36} +(1.92301 + 7.80196i) q^{37} +(2.16974 - 5.72114i) q^{38} +(2.10988 - 2.92377i) q^{39} +(2.42083 + 6.38320i) q^{40} +(8.26566 - 5.70537i) q^{41} +(2.79870 - 2.47944i) q^{42} +(-1.62225 - 0.399848i) q^{43} +(0.0565972 + 0.0214645i) q^{44} +(-1.06703 + 2.03306i) q^{45} +(-3.20570 - 1.21576i) q^{46} +(2.41926 + 2.73079i) q^{47} +(0.599595 - 0.531195i) q^{48} +(-4.37566 + 6.33923i) q^{49} +(-0.218199 - 0.150612i) q^{50} +(-4.90759 - 2.57570i) q^{51} +(-1.41514 + 3.50802i) q^{52} +(-3.03124 + 1.59092i) q^{53} +(0.968014 + 0.117538i) q^{54} +(-0.128624 + 0.0317030i) q^{55} +(-6.47639 + 9.38267i) q^{56} +(-5.16410 + 3.56452i) q^{57} +(-5.01648 + 5.66244i) q^{58} +(-3.83224 - 0.465318i) q^{59} +(0.576481 - 2.33888i) q^{60} +(10.9982 + 5.77228i) q^{61} +(0.834976 - 6.87665i) q^{62} +(-3.80646 + 0.462188i) q^{63} +(-3.77141 + 5.46383i) q^{64} +(-1.81243 - 8.07773i) q^{65} +(0.0319597 + 0.0463016i) q^{66} +(-2.39165 - 2.69961i) q^{67} +(5.64580 + 1.39156i) q^{68} +(1.99729 + 2.89358i) q^{69} -8.58504i q^{70} +(7.11787 - 4.91311i) q^{71} +(-2.95160 + 0.358390i) q^{72} +(-9.89374 + 3.75220i) q^{73} +(0.944473 - 7.77843i) q^{74} +(0.0964155 + 0.254227i) q^{75} +(4.36544 - 4.92757i) q^{76} +(-0.165593 - 0.146703i) q^{77} +(-2.93469 + 1.93620i) q^{78} +(10.5509 - 9.34727i) q^{79} -1.83926i q^{80} +(-0.748511 - 0.663123i) q^{81} +(-9.50909 + 2.34378i) q^{82} +(-2.75551 - 1.90199i) q^{83} +(3.76140 - 1.42651i) q^{84} +(-11.8988 + 4.51263i) q^{85} +(1.34083 + 0.925510i) q^{86} +(7.53249 - 1.85659i) q^{87} +(-0.128404 - 0.113756i) q^{88} -15.4794i q^{89} +(1.67587 - 1.48469i) q^{90} +(9.38249 - 10.1540i) q^{91} +(-2.76104 - 2.44607i) q^{92} +(-4.71074 + 5.31732i) q^{93} +(-1.26152 - 3.32635i) q^{94} +(-1.73663 + 14.3024i) q^{95} +(4.82977 - 1.83169i) q^{96} +(3.45109 - 0.419038i) q^{97} +(6.18153 - 4.26681i) q^{98} -0.0576959i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q - 14 q^{3} + 12 q^{4} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 168 q - 14 q^{3} + 12 q^{4} - 14 q^{9} - 4 q^{10} + 12 q^{12} + 13 q^{13} + 2 q^{14} - 8 q^{16} - 4 q^{17} - 72 q^{22} + 48 q^{23} - 44 q^{25} - 39 q^{26} - 14 q^{27} + 45 q^{29} - 4 q^{30} - 26 q^{31} + 130 q^{32} + 13 q^{33} - 65 q^{34} - 35 q^{35} + 12 q^{36} + 61 q^{38} + 12 q^{40} - 63 q^{42} + 72 q^{43} - 39 q^{44} - 8 q^{48} - 68 q^{49} - 52 q^{50} - 4 q^{51} + 65 q^{52} - q^{53} + 53 q^{55} - 14 q^{56} - 13 q^{57} - 26 q^{58} - 104 q^{59} + 117 q^{60} + 12 q^{61} + 49 q^{62} - 32 q^{64} - 52 q^{65} - 46 q^{66} + 26 q^{67} - 84 q^{68} - 4 q^{69} - 39 q^{71} - 52 q^{73} + 29 q^{74} + 8 q^{75} - 130 q^{76} + 60 q^{77} + 65 q^{78} + 14 q^{79} - 14 q^{81} + 45 q^{82} + 78 q^{83} - 13 q^{85} - 13 q^{86} - 46 q^{87} - 26 q^{88} - 4 q^{90} - 208 q^{91} + 82 q^{92} - 39 q^{93} + 25 q^{94} - 66 q^{95} + 65 q^{96} + 26 q^{97} - 104 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).

\(n\) \(170\) \(340\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{26}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.911757 0.345784i −0.644709 0.244506i 0.0105100 0.999945i \(-0.496655\pi\)
−0.655219 + 0.755439i \(0.727424\pi\)
\(3\) 0.568065 + 0.822984i 0.327972 + 0.475150i
\(4\) −0.785288 0.695704i −0.392644 0.347852i
\(5\) 2.27932 + 0.276760i 1.01934 + 0.123771i 0.613109 0.789998i \(-0.289919\pi\)
0.406234 + 0.913769i \(0.366842\pi\)
\(6\) −0.233362 0.946788i −0.0952698 0.386525i
\(7\) 1.78194 + 3.39521i 0.673511 + 1.28327i 0.946951 + 0.321378i \(0.104146\pi\)
−0.273440 + 0.961889i \(0.588162\pi\)
\(8\) 1.38175 + 2.63271i 0.488524 + 0.930804i
\(9\) −0.354605 + 0.935016i −0.118202 + 0.311672i
\(10\) −1.98249 1.04049i −0.626917 0.329031i
\(11\) −0.0539466 + 0.0204593i −0.0162655 + 0.00616870i −0.362724 0.931897i \(-0.618153\pi\)
0.346459 + 0.938065i \(0.387384\pi\)
\(12\) 0.126459 1.04148i 0.0365056 0.300651i
\(13\) −1.20767 3.39728i −0.334946 0.942237i
\(14\) −0.450690 3.71177i −0.120452 0.992012i
\(15\) 1.06703 + 2.03306i 0.275507 + 0.524934i
\(16\) −0.0965561 0.795211i −0.0241390 0.198803i
\(17\) −4.90759 + 2.57570i −1.19027 + 0.624700i −0.939234 0.343279i \(-0.888462\pi\)
−0.251033 + 0.967979i \(0.580770\pi\)
\(18\) 0.646627 0.729891i 0.152411 0.172037i
\(19\) 6.27486i 1.43955i 0.694207 + 0.719775i \(0.255755\pi\)
−0.694207 + 0.719775i \(0.744245\pi\)
\(20\) −1.59738 1.80307i −0.357185 0.403178i
\(21\) −1.78194 + 3.39521i −0.388852 + 0.740895i
\(22\) 0.0562607 0.0119948
\(23\) 3.51596 0.733128 0.366564 0.930393i \(-0.380534\pi\)
0.366564 + 0.930393i \(0.380534\pi\)
\(24\) −1.38175 + 2.63271i −0.282049 + 0.537400i
\(25\) 0.263995 + 0.0650689i 0.0527990 + 0.0130138i
\(26\) −0.0736285 + 3.51509i −0.0144397 + 0.689365i
\(27\) −0.970942 + 0.239316i −0.186858 + 0.0460563i
\(28\) 0.962722 3.90592i 0.181937 0.738149i
\(29\) 2.75100 7.25379i 0.510848 1.34699i −0.393157 0.919471i \(-0.628617\pi\)
0.904004 0.427523i \(-0.140614\pi\)
\(30\) −0.269875 2.22262i −0.0492722 0.405793i
\(31\) 1.70007 + 6.89744i 0.305341 + 1.23882i 0.900374 + 0.435116i \(0.143293\pi\)
−0.595033 + 0.803701i \(0.702861\pi\)
\(32\) 1.23617 5.01534i 0.218526 0.886596i
\(33\) −0.0474828 0.0327750i −0.00826570 0.00570540i
\(34\) 5.36517 0.651449i 0.920118 0.111723i
\(35\) 3.12196 + 8.23193i 0.527707 + 1.39145i
\(36\) 0.928962 0.487557i 0.154827 0.0812595i
\(37\) 1.92301 + 7.80196i 0.316141 + 1.28263i 0.887070 + 0.461635i \(0.152737\pi\)
−0.570929 + 0.820999i \(0.693417\pi\)
\(38\) 2.16974 5.72114i 0.351979 0.928092i
\(39\) 2.10988 2.92377i 0.337851 0.468177i
\(40\) 2.42083 + 6.38320i 0.382767 + 1.00927i
\(41\) 8.26566 5.70537i 1.29088 0.891029i 0.292999 0.956113i \(-0.405347\pi\)
0.997880 + 0.0650833i \(0.0207313\pi\)
\(42\) 2.79870 2.47944i 0.431849 0.382585i
\(43\) −1.62225 0.399848i −0.247390 0.0609762i 0.113671 0.993519i \(-0.463739\pi\)
−0.361061 + 0.932542i \(0.617585\pi\)
\(44\) 0.0565972 + 0.0214645i 0.00853235 + 0.00323589i
\(45\) −1.06703 + 2.03306i −0.159064 + 0.303071i
\(46\) −3.20570 1.21576i −0.472654 0.179254i
\(47\) 2.41926 + 2.73079i 0.352886 + 0.398326i 0.897971 0.440055i \(-0.145041\pi\)
−0.545085 + 0.838381i \(0.683503\pi\)
\(48\) 0.599595 0.531195i 0.0865441 0.0766714i
\(49\) −4.37566 + 6.33923i −0.625094 + 0.905604i
\(50\) −0.218199 0.150612i −0.0308580 0.0212998i
\(51\) −4.90759 2.57570i −0.687200 0.360671i
\(52\) −1.41514 + 3.50802i −0.196245 + 0.486475i
\(53\) −3.03124 + 1.59092i −0.416373 + 0.218530i −0.659882 0.751369i \(-0.729394\pi\)
0.243509 + 0.969899i \(0.421702\pi\)
\(54\) 0.968014 + 0.117538i 0.131730 + 0.0159949i
\(55\) −0.128624 + 0.0317030i −0.0173436 + 0.00427483i
\(56\) −6.47639 + 9.38267i −0.865444 + 1.25381i
\(57\) −5.16410 + 3.56452i −0.684002 + 0.472133i
\(58\) −5.01648 + 5.66244i −0.658696 + 0.743514i
\(59\) −3.83224 0.465318i −0.498915 0.0605793i −0.132789 0.991144i \(-0.542393\pi\)
−0.366127 + 0.930565i \(0.619316\pi\)
\(60\) 0.576481 2.33888i 0.0744234 0.301948i
\(61\) 10.9982 + 5.77228i 1.40817 + 0.739065i 0.985889 0.167399i \(-0.0535369\pi\)
0.422282 + 0.906465i \(0.361229\pi\)
\(62\) 0.834976 6.87665i 0.106042 0.873335i
\(63\) −3.80646 + 0.462188i −0.479569 + 0.0582302i
\(64\) −3.77141 + 5.46383i −0.471426 + 0.682979i
\(65\) −1.81243 8.07773i −0.224804 1.00192i
\(66\) 0.0319597 + 0.0463016i 0.00393397 + 0.00569934i
\(67\) −2.39165 2.69961i −0.292186 0.329810i 0.584027 0.811735i \(-0.301476\pi\)
−0.876213 + 0.481925i \(0.839938\pi\)
\(68\) 5.64580 + 1.39156i 0.684654 + 0.168752i
\(69\) 1.99729 + 2.89358i 0.240446 + 0.348346i
\(70\) 8.58504i 1.02611i
\(71\) 7.11787 4.91311i 0.844736 0.583079i −0.0651793 0.997874i \(-0.520762\pi\)
0.909915 + 0.414795i \(0.136147\pi\)
\(72\) −2.95160 + 0.358390i −0.347850 + 0.0422366i
\(73\) −9.89374 + 3.75220i −1.15798 + 0.439162i −0.857427 0.514605i \(-0.827939\pi\)
−0.300548 + 0.953767i \(0.597169\pi\)
\(74\) 0.944473 7.77843i 0.109793 0.904224i
\(75\) 0.0964155 + 0.254227i 0.0111331 + 0.0293556i
\(76\) 4.36544 4.92757i 0.500751 0.565231i
\(77\) −0.165593 0.146703i −0.0188711 0.0167183i
\(78\) −2.93469 + 1.93620i −0.332288 + 0.219232i
\(79\) 10.5509 9.34727i 1.18707 1.05165i 0.189504 0.981880i \(-0.439312\pi\)
0.997563 0.0697696i \(-0.0222264\pi\)
\(80\) 1.83926i 0.205636i
\(81\) −0.748511 0.663123i −0.0831679 0.0736803i
\(82\) −9.50909 + 2.34378i −1.05010 + 0.258827i
\(83\) −2.75551 1.90199i −0.302456 0.208771i 0.407164 0.913355i \(-0.366518\pi\)
−0.709620 + 0.704585i \(0.751133\pi\)
\(84\) 3.76140 1.42651i 0.410402 0.155645i
\(85\) −11.8988 + 4.51263i −1.29061 + 0.489463i
\(86\) 1.34083 + 0.925510i 0.144586 + 0.0998004i
\(87\) 7.53249 1.85659i 0.807568 0.199048i
\(88\) −0.128404 0.113756i −0.0136879 0.0121265i
\(89\) 15.4794i 1.64081i −0.571783 0.820405i \(-0.693748\pi\)
0.571783 0.820405i \(-0.306252\pi\)
\(90\) 1.67587 1.48469i 0.176653 0.156501i
\(91\) 9.38249 10.1540i 0.983552 1.06443i
\(92\) −2.76104 2.44607i −0.287858 0.255020i
\(93\) −4.71074 + 5.31732i −0.488481 + 0.551381i
\(94\) −1.26152 3.32635i −0.130116 0.343087i
\(95\) −1.73663 + 14.3024i −0.178174 + 1.46740i
\(96\) 4.82977 1.83169i 0.492936 0.186946i
\(97\) 3.45109 0.419038i 0.350405 0.0425469i 0.0565579 0.998399i \(-0.481987\pi\)
0.293847 + 0.955852i \(0.405064\pi\)
\(98\) 6.18153 4.26681i 0.624429 0.431012i
\(99\) 0.0576959i 0.00579866i
\(100\) −0.162043 0.234760i −0.0162043 0.0234760i
\(101\) −1.97747 0.487402i −0.196766 0.0484984i 0.139701 0.990194i \(-0.455386\pi\)
−0.336467 + 0.941695i \(0.609232\pi\)
\(102\) 3.58389 + 4.04538i 0.354858 + 0.400552i
\(103\) −8.26110 11.9683i −0.813990 1.17927i −0.981133 0.193336i \(-0.938069\pi\)
0.167142 0.985933i \(-0.446546\pi\)
\(104\) 7.27537 7.87364i 0.713409 0.772074i
\(105\) −5.00127 + 7.24559i −0.488074 + 0.707097i
\(106\) 3.31387 0.402377i 0.321872 0.0390823i
\(107\) 1.26971 10.4570i 0.122748 1.01092i −0.793017 0.609200i \(-0.791491\pi\)
0.915764 0.401717i \(-0.131586\pi\)
\(108\) 0.928962 + 0.487557i 0.0893894 + 0.0469152i
\(109\) 0.717329 2.91032i 0.0687076 0.278758i −0.926532 0.376216i \(-0.877225\pi\)
0.995240 + 0.0974582i \(0.0310712\pi\)
\(110\) 0.128236 + 0.0155707i 0.0122268 + 0.00148461i
\(111\) −5.32849 + 6.01462i −0.505758 + 0.570883i
\(112\) 2.52785 1.74485i 0.238859 0.164873i
\(113\) −5.73111 + 8.30295i −0.539137 + 0.781075i −0.993988 0.109493i \(-0.965077\pi\)
0.454850 + 0.890568i \(0.349693\pi\)
\(114\) 5.94096 1.46432i 0.556422 0.137146i
\(115\) 8.01399 + 0.973075i 0.747309 + 0.0907397i
\(116\) −7.20682 + 3.78243i −0.669136 + 0.351190i
\(117\) 3.60476 + 0.0755068i 0.333260 + 0.00698061i
\(118\) 3.33317 + 1.74938i 0.306843 + 0.161044i
\(119\) −17.4901 12.0725i −1.60331 1.10669i
\(120\) −3.87809 + 5.61838i −0.354019 + 0.512885i
\(121\) −8.23113 + 7.29214i −0.748284 + 0.662922i
\(122\) −8.03169 9.06590i −0.727155 0.820788i
\(123\) 9.39086 + 3.56148i 0.846745 + 0.321128i
\(124\) 3.46354 6.59922i 0.311035 0.592628i
\(125\) −10.1506 3.84960i −0.907893 0.344318i
\(126\) 3.63038 + 0.894808i 0.323420 + 0.0797159i
\(127\) −1.65813 + 1.46897i −0.147135 + 0.130350i −0.733480 0.679712i \(-0.762105\pi\)
0.586344 + 0.810062i \(0.300567\pi\)
\(128\) −3.17424 + 2.19102i −0.280566 + 0.193661i
\(129\) −0.592473 1.56222i −0.0521643 0.137546i
\(130\) −1.14066 + 7.99163i −0.100042 + 0.700913i
\(131\) −0.248315 + 0.654754i −0.0216954 + 0.0572061i −0.945426 0.325836i \(-0.894354\pi\)
0.923731 + 0.383042i \(0.125124\pi\)
\(132\) 0.0144860 + 0.0587718i 0.00126084 + 0.00511543i
\(133\) −21.3044 + 11.1814i −1.84733 + 0.969553i
\(134\) 1.24712 + 3.28838i 0.107735 + 0.284073i
\(135\) −2.27932 + 0.276760i −0.196173 + 0.0238197i
\(136\) −13.5622 9.36129i −1.16295 0.802724i
\(137\) 4.88924 19.8364i 0.417716 1.69474i −0.265157 0.964205i \(-0.585424\pi\)
0.682874 0.730537i \(-0.260730\pi\)
\(138\) −0.820492 3.32887i −0.0698450 0.283372i
\(139\) 1.76448 + 14.5318i 0.149661 + 1.23257i 0.853074 + 0.521789i \(0.174735\pi\)
−0.703413 + 0.710781i \(0.748342\pi\)
\(140\) 3.27535 8.63640i 0.276818 0.729909i
\(141\) −0.873093 + 3.54228i −0.0735277 + 0.298314i
\(142\) −8.18864 + 2.01832i −0.687175 + 0.169373i
\(143\) 0.134655 + 0.158564i 0.0112605 + 0.0132598i
\(144\) 0.777774 + 0.191704i 0.0648145 + 0.0159753i
\(145\) 8.27796 15.7723i 0.687447 1.30982i
\(146\) 10.3181 0.853935
\(147\) −7.70274 −0.635311
\(148\) 3.91774 7.46463i 0.322036 0.613589i
\(149\) 2.41896 + 2.73044i 0.198169 + 0.223687i 0.839192 0.543835i \(-0.183028\pi\)
−0.641023 + 0.767522i \(0.721490\pi\)
\(150\) 0.265132i 0.0216479i
\(151\) 11.7390 13.2505i 0.955303 1.07831i −0.0415578 0.999136i \(-0.513232\pi\)
0.996861 0.0791777i \(-0.0252295\pi\)
\(152\) −16.5199 + 8.67030i −1.33994 + 0.703254i
\(153\) −0.668068 5.50204i −0.0540101 0.444813i
\(154\) 0.100253 + 0.191017i 0.00807864 + 0.0153926i
\(155\) 1.96606 + 16.1920i 0.157918 + 1.30057i
\(156\) −3.69094 + 0.828147i −0.295512 + 0.0663048i
\(157\) 0.554368 4.56563i 0.0442434 0.364377i −0.953726 0.300678i \(-0.902787\pi\)
0.997969 0.0636992i \(-0.0202898\pi\)
\(158\) −12.8520 + 4.87411i −1.02245 + 0.387763i
\(159\) −3.03124 1.59092i −0.240393 0.126168i
\(160\) 4.20567 11.0894i 0.332488 0.876698i
\(161\) 6.26523 + 11.9374i 0.493770 + 0.940799i
\(162\) 0.453163 + 0.863429i 0.0356038 + 0.0678374i
\(163\) −3.67923 14.9272i −0.288179 1.16919i −0.919317 0.393519i \(-0.871258\pi\)
0.631137 0.775671i \(-0.282588\pi\)
\(164\) −10.4602 1.27009i −0.816802 0.0991778i
\(165\) −0.0991577 0.0878461i −0.00771942 0.00683881i
\(166\) 1.85468 + 2.68696i 0.143951 + 0.208549i
\(167\) 18.4683 + 7.00412i 1.42912 + 0.541995i 0.943264 0.332042i \(-0.107738\pi\)
0.485859 + 0.874037i \(0.338507\pi\)
\(168\) −11.4008 −0.879591
\(169\) −10.0831 + 8.20557i −0.775622 + 0.631198i
\(170\) 12.4092 0.951744
\(171\) −5.86709 2.22509i −0.448668 0.170157i
\(172\) 0.995755 + 1.44260i 0.0759256 + 0.109997i
\(173\) 5.55983 + 4.92558i 0.422706 + 0.374485i 0.847491 0.530809i \(-0.178112\pi\)
−0.424785 + 0.905294i \(0.639650\pi\)
\(174\) −7.50978 0.911853i −0.569315 0.0691274i
\(175\) 0.249501 + 1.01227i 0.0188605 + 0.0765201i
\(176\) 0.0214783 + 0.0409235i 0.00161899 + 0.00308472i
\(177\) −1.79401 3.41820i −0.134846 0.256928i
\(178\) −5.35251 + 14.1134i −0.401188 + 1.05785i
\(179\) 0.573905 + 0.301209i 0.0428957 + 0.0225134i 0.486035 0.873940i \(-0.338443\pi\)
−0.443139 + 0.896453i \(0.646135\pi\)
\(180\) 2.25234 0.854199i 0.167879 0.0636682i
\(181\) 0.441933 3.63965i 0.0328486 0.270533i −0.967026 0.254679i \(-0.918030\pi\)
0.999874 0.0158540i \(-0.00504669\pi\)
\(182\) −12.0656 + 6.01370i −0.894365 + 0.445765i
\(183\) 1.49718 + 12.3303i 0.110674 + 0.911485i
\(184\) 4.85819 + 9.25650i 0.358150 + 0.682398i
\(185\) 2.22389 + 18.3154i 0.163504 + 1.34657i
\(186\) 6.13369 3.21921i 0.449744 0.236044i
\(187\) 0.212051 0.239356i 0.0155067 0.0175035i
\(188\) 3.82755i 0.279152i
\(189\) −2.54269 2.87010i −0.184953 0.208769i
\(190\) 6.52892 12.4398i 0.473657 0.902479i
\(191\) −1.93249 −0.139830 −0.0699149 0.997553i \(-0.522273\pi\)
−0.0699149 + 0.997553i \(0.522273\pi\)
\(192\) −6.63905 −0.479132
\(193\) 5.72884 10.9154i 0.412371 0.785708i −0.587350 0.809333i \(-0.699829\pi\)
0.999721 + 0.0236257i \(0.00752099\pi\)
\(194\) −3.29145 0.811269i −0.236312 0.0582457i
\(195\) 5.61827 6.08027i 0.402333 0.435417i
\(196\) 7.84638 1.93396i 0.560456 0.138140i
\(197\) −2.54838 + 10.3392i −0.181564 + 0.736636i 0.807588 + 0.589747i \(0.200772\pi\)
−0.989153 + 0.146890i \(0.953074\pi\)
\(198\) −0.0199503 + 0.0526046i −0.00141781 + 0.00373845i
\(199\) −2.98542 24.5871i −0.211630 1.74293i −0.581227 0.813741i \(-0.697427\pi\)
0.369597 0.929192i \(-0.379496\pi\)
\(200\) 0.193468 + 0.784931i 0.0136803 + 0.0555030i
\(201\) 0.863126 3.50184i 0.0608802 0.247001i
\(202\) 1.63444 + 1.12817i 0.114998 + 0.0793777i
\(203\) 29.5302 3.58562i 2.07262 0.251661i
\(204\) 2.06194 + 5.43690i 0.144365 + 0.380659i
\(205\) 20.4191 10.7168i 1.42613 0.748492i
\(206\) 3.39368 + 13.7687i 0.236449 + 0.959311i
\(207\) −1.24678 + 3.28748i −0.0866569 + 0.228496i
\(208\) −2.58495 + 1.28838i −0.179234 + 0.0893329i
\(209\) −0.128379 0.338507i −0.00888015 0.0234150i
\(210\) 7.06535 4.87686i 0.487555 0.336535i
\(211\) −0.112192 + 0.0993933i −0.00772361 + 0.00684252i −0.666976 0.745080i \(-0.732411\pi\)
0.659252 + 0.751922i \(0.270873\pi\)
\(212\) 3.48721 + 0.859520i 0.239503 + 0.0590321i
\(213\) 8.08682 + 3.06693i 0.554100 + 0.210142i
\(214\) −4.77353 + 9.09520i −0.326312 + 0.621735i
\(215\) −3.58696 1.36035i −0.244629 0.0927754i
\(216\) −1.97165 2.22553i −0.134154 0.151428i
\(217\) −20.3888 + 18.0629i −1.38408 + 1.22619i
\(218\) −1.66037 + 2.40546i −0.112454 + 0.162918i
\(219\) −8.70829 6.01090i −0.588452 0.406179i
\(220\) 0.123063 + 0.0645883i 0.00829689 + 0.00435454i
\(221\) 14.6771 + 13.5619i 0.987290 + 0.912272i
\(222\) 6.93805 3.64137i 0.465651 0.244393i
\(223\) −12.9252 1.56940i −0.865533 0.105095i −0.324287 0.945959i \(-0.605124\pi\)
−0.541246 + 0.840864i \(0.682047\pi\)
\(224\) 19.2309 4.73999i 1.28492 0.316704i
\(225\) −0.154454 + 0.223766i −0.0102970 + 0.0149177i
\(226\) 8.09640 5.58854i 0.538564 0.371744i
\(227\) −14.8498 + 16.7619i −0.985614 + 1.11253i 0.00803114 + 0.999968i \(0.497444\pi\)
−0.993645 + 0.112560i \(0.964095\pi\)
\(228\) 6.53516 + 0.793513i 0.432802 + 0.0525517i
\(229\) 0.641171 2.60133i 0.0423698 0.171901i −0.945945 0.324327i \(-0.894862\pi\)
0.988315 + 0.152426i \(0.0487085\pi\)
\(230\) −6.97034 3.65832i −0.459611 0.241222i
\(231\) 0.0266663 0.219617i 0.00175452 0.0144497i
\(232\) 22.8983 2.78036i 1.50335 0.182540i
\(233\) −2.88709 + 4.18268i −0.189140 + 0.274016i −0.906069 0.423129i \(-0.860932\pi\)
0.716929 + 0.697146i \(0.245547\pi\)
\(234\) −3.26056 1.31531i −0.213149 0.0859846i
\(235\) 4.75851 + 6.89389i 0.310411 + 0.449708i
\(236\) 2.68569 + 3.03152i 0.174823 + 0.197335i
\(237\) 13.6862 + 3.37335i 0.889016 + 0.219123i
\(238\) 11.7722 + 17.0550i 0.763079 + 1.10551i
\(239\) 14.5658i 0.942186i −0.882084 0.471093i \(-0.843860\pi\)
0.882084 0.471093i \(-0.156140\pi\)
\(240\) 1.51368 1.04482i 0.0977078 0.0674428i
\(241\) −18.8653 + 2.29066i −1.21522 + 0.147554i −0.702931 0.711258i \(-0.748126\pi\)
−0.512290 + 0.858813i \(0.671203\pi\)
\(242\) 10.0263 3.80247i 0.644514 0.244432i
\(243\) 0.120537 0.992709i 0.00773243 0.0636823i
\(244\) −4.62093 12.1844i −0.295824 0.780025i
\(245\) −11.7280 + 13.2381i −0.749272 + 0.845753i
\(246\) −7.33067 6.49441i −0.467387 0.414068i
\(247\) 21.3175 7.57793i 1.35640 0.482172i
\(248\) −15.8099 + 14.0064i −1.00393 + 0.889404i
\(249\) 3.34819i 0.212183i
\(250\) 7.92370 + 7.01979i 0.501139 + 0.443970i
\(251\) −14.0494 + 3.46286i −0.886790 + 0.218574i −0.656299 0.754501i \(-0.727879\pi\)
−0.230490 + 0.973075i \(0.574033\pi\)
\(252\) 3.31071 + 2.28522i 0.208555 + 0.143955i
\(253\) −0.189674 + 0.0719339i −0.0119247 + 0.00452245i
\(254\) 2.01976 0.765993i 0.126731 0.0480626i
\(255\) −10.4731 7.22908i −0.655852 0.452702i
\(256\) 16.5440 4.07773i 1.03400 0.254858i
\(257\) 8.71362 + 7.71959i 0.543541 + 0.481535i 0.889640 0.456663i \(-0.150955\pi\)
−0.346099 + 0.938198i \(0.612494\pi\)
\(258\) 1.62923i 0.101432i
\(259\) −23.0626 + 20.4317i −1.43304 + 1.26956i
\(260\) −4.19644 + 7.60426i −0.260252 + 0.471596i
\(261\) 5.80689 + 5.14446i 0.359438 + 0.318434i
\(262\) 0.452806 0.511113i 0.0279745 0.0315766i
\(263\) 3.26985 + 8.62188i 0.201627 + 0.531648i 0.997247 0.0741485i \(-0.0236239\pi\)
−0.795620 + 0.605796i \(0.792855\pi\)
\(264\) 0.0206776 0.170296i 0.00127262 0.0104810i
\(265\) −7.34948 + 2.78729i −0.451475 + 0.171222i
\(266\) 23.2908 2.82802i 1.42805 0.173397i
\(267\) 12.7393 8.79329i 0.779631 0.538140i
\(268\) 3.78385i 0.231135i
\(269\) −8.71975 12.6327i −0.531652 0.770231i 0.461490 0.887146i \(-0.347315\pi\)
−0.993142 + 0.116914i \(0.962700\pi\)
\(270\) 2.17388 + 0.535814i 0.132298 + 0.0326086i
\(271\) 5.25772 + 5.93474i 0.319384 + 0.360510i 0.886174 0.463352i \(-0.153353\pi\)
−0.566790 + 0.823862i \(0.691815\pi\)
\(272\) 2.52208 + 3.65387i 0.152924 + 0.221548i
\(273\) 13.6865 + 1.95349i 0.828343 + 0.118231i
\(274\) −11.3169 + 16.3954i −0.683680 + 0.990482i
\(275\) −0.0155729 + 0.00189089i −0.000939081 + 0.000114025i
\(276\) 0.444625 3.66182i 0.0267633 0.220415i
\(277\) 6.19389 + 3.25081i 0.372155 + 0.195322i 0.640423 0.768022i \(-0.278759\pi\)
−0.268268 + 0.963344i \(0.586451\pi\)
\(278\) 3.41608 13.8596i 0.204883 0.831243i
\(279\) −7.05208 0.856277i −0.422197 0.0512640i
\(280\) −17.3585 + 19.5937i −1.03737 + 1.17095i
\(281\) 4.26225 2.94202i 0.254264 0.175506i −0.434114 0.900858i \(-0.642938\pi\)
0.688378 + 0.725352i \(0.258323\pi\)
\(282\) 2.02091 2.92779i 0.120343 0.174348i
\(283\) 10.3006 2.53886i 0.612305 0.150920i 0.0790448 0.996871i \(-0.474813\pi\)
0.533260 + 0.845952i \(0.320967\pi\)
\(284\) −9.00765 1.09373i −0.534506 0.0649007i
\(285\) −12.7572 + 6.69548i −0.755669 + 0.396606i
\(286\) −0.0679441 0.191134i −0.00401762 0.0113020i
\(287\) 34.0998 + 17.8970i 2.01285 + 1.05642i
\(288\) 4.25107 + 2.93431i 0.250497 + 0.172906i
\(289\) 7.79312 11.2903i 0.458419 0.664134i
\(290\) −13.0013 + 11.5181i −0.763463 + 0.676369i
\(291\) 2.30530 + 2.60215i 0.135139 + 0.152541i
\(292\) 10.3799 + 3.93656i 0.607435 + 0.230370i
\(293\) 8.98205 17.1139i 0.524737 0.999803i −0.468474 0.883477i \(-0.655196\pi\)
0.993211 0.116326i \(-0.0371117\pi\)
\(294\) 7.02302 + 2.66348i 0.409591 + 0.155337i
\(295\) −8.60612 2.12122i −0.501068 0.123502i
\(296\) −17.8832 + 15.8431i −1.03944 + 0.920862i
\(297\) 0.0474828 0.0327750i 0.00275523 0.00190180i
\(298\) −1.26136 3.32594i −0.0730687 0.192666i
\(299\) −4.24610 11.9447i −0.245558 0.690781i
\(300\) 0.101153 0.266718i 0.00584006 0.0153990i
\(301\) −1.53318 6.22037i −0.0883712 0.358536i
\(302\) −15.2849 + 8.02213i −0.879547 + 0.461622i
\(303\) −0.722206 1.90430i −0.0414897 0.109399i
\(304\) 4.98983 0.605875i 0.286186 0.0347493i
\(305\) 23.4708 + 16.2007i 1.34393 + 0.927651i
\(306\) −1.29340 + 5.24752i −0.0739387 + 0.299981i
\(307\) 6.31970 + 25.6401i 0.360685 + 1.46335i 0.818602 + 0.574360i \(0.194749\pi\)
−0.457918 + 0.888994i \(0.651405\pi\)
\(308\) 0.0279766 + 0.230408i 0.00159411 + 0.0131287i
\(309\) 5.15685 13.5975i 0.293363 0.773535i
\(310\) 3.80635 15.4430i 0.216186 0.877103i
\(311\) 19.0370 4.69220i 1.07949 0.266070i 0.340814 0.940131i \(-0.389297\pi\)
0.738676 + 0.674060i \(0.235451\pi\)
\(312\) 10.6128 + 1.51478i 0.600830 + 0.0857573i
\(313\) −3.93825 0.970692i −0.222603 0.0548667i 0.126437 0.991975i \(-0.459646\pi\)
−0.349040 + 0.937108i \(0.613492\pi\)
\(314\) −2.08417 + 3.97105i −0.117616 + 0.224099i
\(315\) −8.80405 −0.496052
\(316\) −14.7884 −0.831913
\(317\) 0.544207 1.03690i 0.0305657 0.0582381i −0.869694 0.493591i \(-0.835684\pi\)
0.900260 + 0.435353i \(0.143376\pi\)
\(318\) 2.21364 + 2.49869i 0.124135 + 0.140119i
\(319\) 0.447601i 0.0250608i
\(320\) −10.1084 + 11.4100i −0.565078 + 0.637841i
\(321\) 9.32722 4.89530i 0.520595 0.273229i
\(322\) −1.58461 13.0504i −0.0883068 0.727272i
\(323\) −16.1622 30.7944i −0.899287 1.71345i
\(324\) 0.126459 + 1.04148i 0.00702550 + 0.0578602i
\(325\) −0.0977599 0.975447i −0.00542275 0.0541081i
\(326\) −1.80703 + 14.8822i −0.100082 + 0.824249i
\(327\) 2.80263 1.06290i 0.154986 0.0587784i
\(328\) 26.4417 + 13.8777i 1.46000 + 0.766266i
\(329\) −4.96059 + 13.0800i −0.273486 + 0.721124i
\(330\) 0.0600320 + 0.114381i 0.00330465 + 0.00629649i
\(331\) 13.2263 + 25.2006i 0.726983 + 1.38515i 0.915191 + 0.403022i \(0.132040\pi\)
−0.188207 + 0.982129i \(0.560268\pi\)
\(332\) 0.840644 + 3.41063i 0.0461364 + 0.187183i
\(333\) −7.97687 0.968567i −0.437130 0.0530771i
\(334\) −14.4167 12.7721i −0.788848 0.698858i
\(335\) −4.70418 6.81519i −0.257017 0.372353i
\(336\) 2.87196 + 1.08919i 0.156678 + 0.0594203i
\(337\) 13.2768 0.723235 0.361617 0.932327i \(-0.382225\pi\)
0.361617 + 0.932327i \(0.382225\pi\)
\(338\) 12.0307 3.99491i 0.654382 0.217295i
\(339\) −10.0888 −0.547950
\(340\) 12.4835 + 4.73435i 0.677011 + 0.256756i
\(341\) −0.232830 0.337312i −0.0126084 0.0182665i
\(342\) 4.57996 + 4.05749i 0.247656 + 0.219404i
\(343\) −2.67495 0.324798i −0.144434 0.0175374i
\(344\) −1.18886 4.82340i −0.0640991 0.260060i
\(345\) 3.75164 + 7.14816i 0.201982 + 0.384844i
\(346\) −3.36603 6.41343i −0.180959 0.344788i
\(347\) 10.0302 26.4475i 0.538449 1.41977i −0.339311 0.940674i \(-0.610194\pi\)
0.877760 0.479100i \(-0.159037\pi\)
\(348\) −7.20682 3.78243i −0.386326 0.202759i
\(349\) −4.81456 + 1.82592i −0.257717 + 0.0977393i −0.480080 0.877225i \(-0.659392\pi\)
0.222363 + 0.974964i \(0.428623\pi\)
\(350\) 0.122541 1.00921i 0.00655008 0.0539447i
\(351\) 1.98560 + 3.00955i 0.105983 + 0.160638i
\(352\) 0.0359229 + 0.295852i 0.00191470 + 0.0157690i
\(353\) −10.8093 20.5953i −0.575320 1.09618i −0.983095 0.183097i \(-0.941388\pi\)
0.407775 0.913082i \(-0.366305\pi\)
\(354\) 0.453743 + 3.73691i 0.0241162 + 0.198614i
\(355\) 17.5837 9.22861i 0.933243 0.489804i
\(356\) −10.7691 + 12.1558i −0.570759 + 0.644254i
\(357\) 21.2520i 1.12478i
\(358\) −0.419109 0.473076i −0.0221506 0.0250029i
\(359\) 9.43463 17.9762i 0.497941 0.948747i −0.498694 0.866778i \(-0.666187\pi\)
0.996635 0.0819691i \(-0.0261209\pi\)
\(360\) −6.82684 −0.359806
\(361\) −20.3738 −1.07231
\(362\) −1.66147 + 3.16566i −0.0873247 + 0.166383i
\(363\) −10.6771 2.63168i −0.560404 0.138127i
\(364\) −14.4322 + 1.44640i −0.756451 + 0.0758120i
\(365\) −23.5895 + 5.81428i −1.23473 + 0.304333i
\(366\) 2.89857 11.7600i 0.151511 0.614704i
\(367\) 7.29173 19.2267i 0.380625 1.00363i −0.598635 0.801022i \(-0.704290\pi\)
0.979261 0.202605i \(-0.0649406\pi\)
\(368\) −0.339487 2.79593i −0.0176970 0.145748i
\(369\) 2.40357 + 9.75168i 0.125125 + 0.507652i
\(370\) 4.30551 17.4681i 0.223833 0.908126i
\(371\) −10.8030 7.45677i −0.560864 0.387136i
\(372\) 7.39857 0.898349i 0.383598 0.0465772i
\(373\) 12.2779 + 32.3742i 0.635726 + 1.67627i 0.732331 + 0.680949i \(0.238432\pi\)
−0.0966051 + 0.995323i \(0.530798\pi\)
\(374\) −0.276104 + 0.144911i −0.0142770 + 0.00749316i
\(375\) −2.59801 10.5406i −0.134161 0.544312i
\(376\) −3.84654 + 10.1425i −0.198370 + 0.523059i
\(377\) −27.9655 0.585777i −1.44029 0.0301690i
\(378\) 1.32588 + 3.49605i 0.0681958 + 0.179818i
\(379\) 2.52465 1.74264i 0.129682 0.0895133i −0.501458 0.865182i \(-0.667203\pi\)
0.631140 + 0.775669i \(0.282587\pi\)
\(380\) 11.3140 10.0233i 0.580396 0.514186i
\(381\) −2.15087 0.530141i −0.110192 0.0271599i
\(382\) 1.76196 + 0.668222i 0.0901495 + 0.0341892i
\(383\) −16.9993 + 32.3895i −0.868626 + 1.65503i −0.119268 + 0.992862i \(0.538055\pi\)
−0.749357 + 0.662166i \(0.769637\pi\)
\(384\) −3.60635 1.36771i −0.184036 0.0697955i
\(385\) −0.336838 0.380212i −0.0171669 0.0193774i
\(386\) −8.99768 + 7.97125i −0.457970 + 0.405726i
\(387\) 0.949121 1.37504i 0.0482465 0.0698972i
\(388\) −3.00162 2.07187i −0.152384 0.105183i
\(389\) −26.2912 13.7987i −1.33302 0.699622i −0.360568 0.932733i \(-0.617417\pi\)
−0.972450 + 0.233111i \(0.925109\pi\)
\(390\) −7.22495 + 3.60102i −0.365850 + 0.182345i
\(391\) −17.2549 + 9.05607i −0.872617 + 0.457985i
\(392\) −22.7354 2.76058i −1.14831 0.139430i
\(393\) −0.679911 + 0.167583i −0.0342970 + 0.00845344i
\(394\) 5.89862 8.54563i 0.297168 0.430522i
\(395\) 26.6358 18.3854i 1.34019 0.925067i
\(396\) −0.0401393 + 0.0453079i −0.00201708 + 0.00227681i
\(397\) −30.1560 3.66160i −1.51349 0.183771i −0.678730 0.734388i \(-0.737469\pi\)
−0.834758 + 0.550617i \(0.814392\pi\)
\(398\) −5.77985 + 23.4498i −0.289718 + 1.17543i
\(399\) −21.3044 11.1814i −1.06656 0.559771i
\(400\) 0.0262532 0.216214i 0.00131266 0.0108107i
\(401\) −6.69329 + 0.812713i −0.334247 + 0.0405849i −0.285940 0.958248i \(-0.592306\pi\)
−0.0483072 + 0.998833i \(0.515383\pi\)
\(402\) −1.99784 + 2.89437i −0.0996432 + 0.144358i
\(403\) 21.3795 14.1054i 1.06499 0.702641i
\(404\) 1.21379 + 1.75849i 0.0603885 + 0.0874879i
\(405\) −1.52257 1.71863i −0.0756571 0.0853992i
\(406\) −28.1642 6.94186i −1.39777 0.344519i
\(407\) −0.263362 0.381546i −0.0130544 0.0189125i
\(408\) 16.4793i 0.815845i
\(409\) 31.3002 21.6049i 1.54769 1.06830i 0.580498 0.814261i \(-0.302858\pi\)
0.967195 0.254034i \(-0.0817576\pi\)
\(410\) −22.3229 + 2.71049i −1.10245 + 0.133862i
\(411\) 19.1025 7.24462i 0.942256 0.357351i
\(412\) −1.83904 + 15.1458i −0.0906028 + 0.746181i
\(413\) −5.24898 13.8404i −0.258285 0.681042i
\(414\) 2.27351 2.56627i 0.111737 0.126125i
\(415\) −5.75429 5.09786i −0.282467 0.250244i
\(416\) −18.5314 + 1.85723i −0.908578 + 0.0910583i
\(417\) −10.9571 + 9.70714i −0.536571 + 0.475361i
\(418\) 0.353028i 0.0172671i
\(419\) −15.1161 13.3917i −0.738470 0.654228i 0.207591 0.978216i \(-0.433438\pi\)
−0.946061 + 0.323988i \(0.894976\pi\)
\(420\) 8.96823 2.21047i 0.437605 0.107860i
\(421\) −33.5670 23.1696i −1.63596 1.12922i −0.880536 0.473978i \(-0.842817\pi\)
−0.755420 0.655241i \(-0.772567\pi\)
\(422\) 0.136660 0.0518284i 0.00665252 0.00252297i
\(423\) −3.41121 + 1.29370i −0.165859 + 0.0629019i
\(424\) −8.37686 5.78213i −0.406817 0.280805i
\(425\) −1.46318 + 0.360641i −0.0709745 + 0.0174936i
\(426\) −6.31272 5.59258i −0.305852 0.270961i
\(427\) 47.6269i 2.30483i
\(428\) −8.27207 + 7.32841i −0.399846 + 0.354232i
\(429\) −0.0540027 + 0.200894i −0.00260728 + 0.00969925i
\(430\) 2.80004 + 2.48062i 0.135030 + 0.119626i
\(431\) 0.146023 0.164826i 0.00703368 0.00793939i −0.744983 0.667083i \(-0.767543\pi\)
0.752017 + 0.659144i \(0.229081\pi\)
\(432\) 0.284057 + 0.748996i 0.0136667 + 0.0360361i
\(433\) −1.93451 + 15.9322i −0.0929668 + 0.765651i 0.869440 + 0.494039i \(0.164480\pi\)
−0.962407 + 0.271612i \(0.912443\pi\)
\(434\) 24.8355 9.41887i 1.19214 0.452120i
\(435\) 17.6828 2.14708i 0.847825 0.102945i
\(436\) −2.58803 + 1.78639i −0.123944 + 0.0855525i
\(437\) 22.0621i 1.05537i
\(438\) 5.86137 + 8.49166i 0.280067 + 0.405747i
\(439\) −28.6495 7.06148i −1.36737 0.337026i −0.513757 0.857936i \(-0.671747\pi\)
−0.853612 + 0.520910i \(0.825593\pi\)
\(440\) −0.261191 0.294824i −0.0124518 0.0140552i
\(441\) −4.37566 6.33923i −0.208365 0.301868i
\(442\) −8.69248 17.4403i −0.413459 0.829549i
\(443\) 21.0862 30.5487i 1.00184 1.45141i 0.112778 0.993620i \(-0.464025\pi\)
0.889059 0.457792i \(-0.151360\pi\)
\(444\) 8.36880 1.01616i 0.397166 0.0482246i
\(445\) 4.28406 35.2824i 0.203084 1.67255i
\(446\) 11.2419 + 5.90022i 0.532321 + 0.279383i
\(447\) −0.872984 + 3.54183i −0.0412907 + 0.167523i
\(448\) −25.2713 3.06849i −1.19395 0.144972i
\(449\) 4.98481 5.62668i 0.235248 0.265540i −0.619018 0.785377i \(-0.712469\pi\)
0.854265 + 0.519838i \(0.174008\pi\)
\(450\) 0.218199 0.150612i 0.0102860 0.00709992i
\(451\) −0.329177 + 0.476895i −0.0155003 + 0.0224561i
\(452\) 10.2770 2.53304i 0.483388 0.119144i
\(453\) 17.5735 + 2.13381i 0.825674 + 0.100255i
\(454\) 19.3354 10.1480i 0.907454 0.476269i
\(455\) 24.1959 20.5476i 1.13432 0.963287i
\(456\) −16.5199 8.67030i −0.773614 0.406024i
\(457\) 4.67382 + 3.22610i 0.218632 + 0.150911i 0.672347 0.740236i \(-0.265286\pi\)
−0.453715 + 0.891147i \(0.649902\pi\)
\(458\) −1.48409 + 2.15008i −0.0693470 + 0.100467i
\(459\) 4.14858 3.67532i 0.193639 0.171549i
\(460\) −5.61632 6.33951i −0.261862 0.295581i
\(461\) 29.2596 + 11.0967i 1.36276 + 0.516825i 0.924210 0.381884i \(-0.124724\pi\)
0.438546 + 0.898709i \(0.355494\pi\)
\(462\) −0.100253 + 0.191017i −0.00466420 + 0.00888690i
\(463\) −0.482895 0.183138i −0.0224420 0.00851114i 0.343358 0.939204i \(-0.388435\pi\)
−0.365800 + 0.930693i \(0.619205\pi\)
\(464\) −6.03391 1.48723i −0.280117 0.0690427i
\(465\) −12.2089 + 10.8161i −0.566174 + 0.501586i
\(466\) 4.07863 2.81527i 0.188939 0.130415i
\(467\) 12.0141 + 31.6785i 0.555945 + 1.46591i 0.858519 + 0.512782i \(0.171385\pi\)
−0.302574 + 0.953126i \(0.597846\pi\)
\(468\) −2.77824 2.56714i −0.128424 0.118666i
\(469\) 4.90396 12.9307i 0.226444 0.597083i
\(470\) −1.95481 7.93096i −0.0901685 0.365828i
\(471\) 4.07236 2.13734i 0.187644 0.0984833i
\(472\) −4.07016 10.7321i −0.187344 0.493987i
\(473\) 0.0956954 0.0116195i 0.00440008 0.000534266i
\(474\) −11.3121 7.80815i −0.519580 0.358640i
\(475\) −0.408298 + 1.65653i −0.0187340 + 0.0760068i
\(476\) 5.33584 + 21.6483i 0.244568 + 0.992250i
\(477\) −0.412642 3.39841i −0.0188936 0.155603i
\(478\) −5.03663 + 13.2805i −0.230370 + 0.607436i
\(479\) −4.48690 + 18.2041i −0.205012 + 0.831764i 0.774860 + 0.632133i \(0.217821\pi\)
−0.979871 + 0.199631i \(0.936026\pi\)
\(480\) 11.5155 2.83832i 0.525610 0.129551i
\(481\) 24.1831 15.9552i 1.10266 0.727493i
\(482\) 17.9926 + 4.43478i 0.819542 + 0.201999i
\(483\) −6.26523 + 11.9374i −0.285078 + 0.543171i
\(484\) 11.5370 0.524408
\(485\) 7.98211 0.362449
\(486\) −0.453163 + 0.863429i −0.0205559 + 0.0391659i
\(487\) 6.31437 + 7.12745i 0.286131 + 0.322975i 0.873949 0.486018i \(-0.161551\pi\)
−0.587817 + 0.808994i \(0.700013\pi\)
\(488\) 36.9309i 1.67178i
\(489\) 10.1948 11.5076i 0.461026 0.520390i
\(490\) 15.2706 8.01462i 0.689854 0.362063i
\(491\) 0.558368 + 4.59858i 0.0251988 + 0.207531i 0.999870 0.0161109i \(-0.00512850\pi\)
−0.974671 + 0.223642i \(0.928205\pi\)
\(492\) −4.89679 9.33005i −0.220764 0.420631i
\(493\) 5.18282 + 42.6844i 0.233423 + 1.92241i
\(494\) −22.0567 0.462008i −0.992376 0.0207867i
\(495\) 0.0159679 0.131507i 0.000717704 0.00591082i
\(496\) 5.32077 2.01790i 0.238910 0.0906065i
\(497\) 29.3647 + 15.4118i 1.31718 + 0.691312i
\(498\) −1.15775 + 3.05274i −0.0518800 + 0.136796i
\(499\) 3.26649 + 6.22378i 0.146228 + 0.278615i 0.947543 0.319628i \(-0.103558\pi\)
−0.801315 + 0.598243i \(0.795866\pi\)
\(500\) 5.29292 + 10.0848i 0.236707 + 0.451007i
\(501\) 4.72694 + 19.1779i 0.211184 + 0.856807i
\(502\) 14.0070 + 1.70076i 0.625164 + 0.0759087i
\(503\) 4.65419 + 4.12325i 0.207520 + 0.183847i 0.760481 0.649361i \(-0.224963\pi\)
−0.552960 + 0.833208i \(0.686502\pi\)
\(504\) −6.47639 9.38267i −0.288481 0.417938i
\(505\) −4.37239 1.65823i −0.194569 0.0737903i
\(506\) 0.197810 0.00879374
\(507\) −12.4809 3.63692i −0.554296 0.161521i
\(508\) 2.32408 0.103114
\(509\) −1.36299 0.516913i −0.0604134 0.0229118i 0.324213 0.945984i \(-0.394901\pi\)
−0.384627 + 0.923072i \(0.625670\pi\)
\(510\) 7.04924 + 10.2126i 0.312146 + 0.452221i
\(511\) −30.3696 26.9051i −1.34347 1.19021i
\(512\) −8.83639 1.07293i −0.390517 0.0474173i
\(513\) −1.50167 6.09252i −0.0663004 0.268991i
\(514\) −5.27539 10.0514i −0.232687 0.443349i
\(515\) −15.5174 29.5658i −0.683776 1.30283i
\(516\) −0.621583 + 1.63898i −0.0273637 + 0.0721521i
\(517\) −0.186381 0.0978203i −0.00819703 0.00430213i
\(518\) 28.0924 10.6540i 1.23431 0.468111i
\(519\) −0.895329 + 7.37370i −0.0393006 + 0.323669i
\(520\) 18.7620 15.9330i 0.822769 0.698709i
\(521\) 1.26690 + 10.4338i 0.0555038 + 0.457115i 0.993791 + 0.111259i \(0.0354883\pi\)
−0.938288 + 0.345856i \(0.887589\pi\)
\(522\) −3.51560 6.69842i −0.153874 0.293182i
\(523\) −2.18713 18.0126i −0.0956366 0.787638i −0.959069 0.283173i \(-0.908613\pi\)
0.863432 0.504465i \(-0.168310\pi\)
\(524\) 0.650514 0.341416i 0.0284178 0.0149148i
\(525\) −0.691346 + 0.780368i −0.0301728 + 0.0340580i
\(526\) 8.99171i 0.392057i
\(527\) −26.1090 29.4710i −1.13733 1.28378i
\(528\) −0.0214783 + 0.0409235i −0.000934723 + 0.00178097i
\(529\) −10.6380 −0.462523
\(530\) 7.66473 0.332935
\(531\) 1.79401 3.41820i 0.0778535 0.148337i
\(532\) 24.5091 + 6.04094i 1.06260 + 0.261908i
\(533\) −29.3649 21.1906i −1.27194 0.917867i
\(534\) −14.6557 + 3.61230i −0.634214 + 0.156320i
\(535\) 5.78815 23.4835i 0.250244 1.01528i
\(536\) 3.80263 10.0267i 0.164249 0.433088i
\(537\) 0.0781255 + 0.643421i 0.00337136 + 0.0277657i
\(538\) 3.58209 + 14.5331i 0.154435 + 0.626568i
\(539\) 0.106356 0.431503i 0.00458107 0.0185861i
\(540\) 1.98247 + 1.36840i 0.0853117 + 0.0588864i
\(541\) 10.3015 1.25083i 0.442896 0.0537773i 0.103949 0.994583i \(-0.466852\pi\)
0.338947 + 0.940805i \(0.389929\pi\)
\(542\) −2.74163 7.22908i −0.117763 0.310515i
\(543\) 3.24642 1.70385i 0.139317 0.0731193i
\(544\) 6.85141 + 27.7973i 0.293752 + 1.19180i
\(545\) 2.44048 6.43502i 0.104539 0.275646i
\(546\) −11.8032 6.51366i −0.505132 0.278759i
\(547\) −0.899526 2.37186i −0.0384610 0.101413i 0.914410 0.404790i \(-0.132655\pi\)
−0.952871 + 0.303376i \(0.901886\pi\)
\(548\) −17.6398 + 12.1758i −0.753533 + 0.520127i
\(549\) −9.29718 + 8.23659i −0.396794 + 0.351529i
\(550\) 0.0148525 + 0.00366082i 0.000633314 + 0.000156098i
\(551\) 45.5165 + 17.2621i 1.93907 + 0.735391i
\(552\) −4.85819 + 9.25650i −0.206778 + 0.393983i
\(553\) 50.5370 + 19.1661i 2.14905 + 0.815027i
\(554\) −4.52325 5.10569i −0.192174 0.216920i
\(555\) −13.8099 + 12.2345i −0.586199 + 0.519327i
\(556\) 8.72421 12.6392i 0.369989 0.536021i
\(557\) −9.25443 6.38787i −0.392123 0.270663i 0.355648 0.934620i \(-0.384260\pi\)
−0.747770 + 0.663957i \(0.768876\pi\)
\(558\) 6.13369 + 3.21921i 0.259660 + 0.136280i
\(559\) 0.600734 + 5.99412i 0.0254084 + 0.253524i
\(560\) 6.24467 3.27746i 0.263886 0.138498i
\(561\) 0.317445 + 0.0385448i 0.0134025 + 0.00162736i
\(562\) −4.90343 + 1.20859i −0.206839 + 0.0509812i
\(563\) −2.81913 + 4.08421i −0.118812 + 0.172129i −0.877877 0.478886i \(-0.841041\pi\)
0.759065 + 0.651014i \(0.225656\pi\)
\(564\) 3.15001 2.17429i 0.132639 0.0915543i
\(565\) −15.3610 + 17.3389i −0.646240 + 0.729454i
\(566\) −10.2695 1.24694i −0.431659 0.0524129i
\(567\) 0.917636 3.72299i 0.0385371 0.156351i
\(568\) 22.7699 + 11.9506i 0.955406 + 0.501436i
\(569\) −0.0482430 + 0.397317i −0.00202245 + 0.0166564i −0.993685 0.112204i \(-0.964209\pi\)
0.991663 + 0.128861i \(0.0411320\pi\)
\(570\) 13.9466 1.69343i 0.584159 0.0709298i
\(571\) 20.2074 29.2755i 0.845655 1.22514i −0.126771 0.991932i \(-0.540461\pi\)
0.972426 0.233211i \(-0.0749231\pi\)
\(572\) 0.00457049 0.218199i 0.000191102 0.00912335i
\(573\) −1.09778 1.59040i −0.0458603 0.0664401i
\(574\) −24.9023 28.1088i −1.03940 1.17324i
\(575\) 0.928195 + 0.228779i 0.0387084 + 0.00954076i
\(576\) −3.77141 5.46383i −0.157142 0.227660i
\(577\) 19.4376i 0.809199i 0.914494 + 0.404600i \(0.132589\pi\)
−0.914494 + 0.404600i \(0.867411\pi\)
\(578\) −11.0094 + 7.59925i −0.457931 + 0.316087i
\(579\) 12.2376 1.48591i 0.508575 0.0617522i
\(580\) −17.4735 + 6.62681i −0.725546 + 0.275163i
\(581\) 1.54749 12.7448i 0.0642008 0.528741i
\(582\) −1.20209 3.16966i −0.0498284 0.131387i
\(583\) 0.130976 0.147842i 0.00542449 0.00612298i
\(584\) −23.5492 20.8627i −0.974472 0.863307i
\(585\) 8.19551 + 1.16976i 0.338842 + 0.0483635i
\(586\) −14.1071 + 12.4978i −0.582761 + 0.516281i
\(587\) 34.8719i 1.43932i 0.694329 + 0.719658i \(0.255701\pi\)
−0.694329 + 0.719658i \(0.744299\pi\)
\(588\) 6.04887 + 5.35883i 0.249451 + 0.220994i
\(589\) −43.2805 + 10.6677i −1.78334 + 0.439554i
\(590\) 7.11321 + 4.90989i 0.292846 + 0.202137i
\(591\) −9.95662 + 3.77605i −0.409561 + 0.155326i
\(592\) 6.01852 2.28252i 0.247360 0.0938112i
\(593\) −8.27060 5.70878i −0.339633 0.234432i 0.386024 0.922489i \(-0.373848\pi\)
−0.725656 + 0.688057i \(0.758464\pi\)
\(594\) −0.0546258 + 0.0134641i −0.00224133 + 0.000552437i
\(595\) −36.5243 32.3577i −1.49735 1.32654i
\(596\) 3.82707i 0.156763i
\(597\) 18.5389 16.4240i 0.758746 0.672190i
\(598\) −0.258875 + 12.3589i −0.0105862 + 0.505393i
\(599\) 24.9646 + 22.1167i 1.02003 + 0.903664i 0.995378 0.0960319i \(-0.0306151\pi\)
0.0246478 + 0.999696i \(0.492154\pi\)
\(600\) −0.536083 + 0.605113i −0.0218855 + 0.0247036i
\(601\) 10.1338 + 26.7205i 0.413365 + 1.08995i 0.966456 + 0.256832i \(0.0826788\pi\)
−0.553091 + 0.833121i \(0.686552\pi\)
\(602\) −0.753012 + 6.20161i −0.0306905 + 0.252759i
\(603\) 3.37227 1.27893i 0.137329 0.0520822i
\(604\) −18.4369 + 2.23865i −0.750188 + 0.0910893i
\(605\) −20.7795 + 14.3431i −0.844808 + 0.583129i
\(606\) 1.98599i 0.0806752i
\(607\) −17.4739 25.3152i −0.709242 1.02751i −0.997549 0.0699760i \(-0.977708\pi\)
0.288307 0.957538i \(-0.406908\pi\)
\(608\) 31.4706 + 7.75679i 1.27630 + 0.314580i
\(609\) 19.7260 + 22.2660i 0.799337 + 0.902265i
\(610\) −15.7977 22.8869i −0.639631 0.926665i
\(611\) 6.35559 11.5168i 0.257120 0.465920i
\(612\) −3.30316 + 4.78546i −0.133523 + 0.193441i
\(613\) 10.2825 1.24852i 0.415304 0.0504271i 0.0897821 0.995961i \(-0.471383\pi\)
0.325522 + 0.945534i \(0.394460\pi\)
\(614\) 3.10388 25.5627i 0.125262 1.03163i
\(615\) 20.4191 + 10.7168i 0.823377 + 0.432142i
\(616\) 0.157417 0.638666i 0.00634251 0.0257326i
\(617\) −0.247133 0.0300073i −0.00994919 0.00120805i 0.115561 0.993300i \(-0.463134\pi\)
−0.125510 + 0.992092i \(0.540057\pi\)
\(618\) −9.40359 + 10.6145i −0.378268 + 0.426976i
\(619\) −13.2799 + 9.16642i −0.533762 + 0.368429i −0.804247 0.594295i \(-0.797431\pi\)
0.270485 + 0.962724i \(0.412816\pi\)
\(620\) 9.72091 14.0832i 0.390401 0.565594i
\(621\) −3.41379 + 0.841424i −0.136991 + 0.0337652i
\(622\) −18.9796 2.30454i −0.761013 0.0924037i
\(623\) 52.5557 27.5833i 2.10560 1.10510i
\(624\) −2.52873 1.39549i −0.101230 0.0558643i
\(625\) −23.2747 12.2155i −0.930988 0.488620i
\(626\) 3.25508 + 2.24682i 0.130099 + 0.0898009i
\(627\) 0.205659 0.297948i 0.00821321 0.0118989i
\(628\) −3.61167 + 3.19966i −0.144121 + 0.127680i
\(629\) −29.5329 33.3357i −1.17755 1.32918i
\(630\) 8.02715 + 3.04430i 0.319809 + 0.121288i
\(631\) −20.4654 + 38.9936i −0.814716 + 1.55231i 0.0188035 + 0.999823i \(0.494014\pi\)
−0.833520 + 0.552489i \(0.813678\pi\)
\(632\) 39.1874 + 14.8618i 1.55879 + 0.591171i
\(633\) −0.145531 0.0358703i −0.00578435 0.00142571i
\(634\) −0.854727 + 0.757222i −0.0339455 + 0.0300731i
\(635\) −4.18596 + 2.88936i −0.166115 + 0.114661i
\(636\) 1.27359 + 3.35818i 0.0505011 + 0.133160i
\(637\) 26.8205 + 7.20968i 1.06267 + 0.285658i
\(638\) 0.154773 0.408103i 0.00612752 0.0161569i
\(639\) 2.06981 + 8.39754i 0.0818803 + 0.332201i
\(640\) −7.84150 + 4.11553i −0.309962 + 0.162681i
\(641\) −8.72359 23.0022i −0.344561 0.908533i −0.989530 0.144325i \(-0.953899\pi\)
0.644969 0.764209i \(-0.276870\pi\)
\(642\) −10.1969 + 1.23812i −0.402438 + 0.0488649i
\(643\) 6.36208 + 4.39143i 0.250896 + 0.173181i 0.686874 0.726776i \(-0.258982\pi\)
−0.435979 + 0.899957i \(0.643598\pi\)
\(644\) 3.38489 13.7330i 0.133383 0.541158i
\(645\) −0.918075 3.72478i −0.0361492 0.146663i
\(646\) 4.08775 + 33.6656i 0.160830 + 1.32456i
\(647\) −3.22928 + 8.51491i −0.126956 + 0.334756i −0.983391 0.181499i \(-0.941905\pi\)
0.856435 + 0.516255i \(0.172674\pi\)
\(648\) 0.711553 2.88688i 0.0279524 0.113408i
\(649\) 0.216257 0.0533025i 0.00848881 0.00209230i
\(650\) −0.248160 + 0.923174i −0.00973365 + 0.0362099i
\(651\) −26.4477 6.51876i −1.03657 0.255491i
\(652\) −7.49567 + 14.2818i −0.293553 + 0.559319i
\(653\) −24.1099 −0.943492 −0.471746 0.881735i \(-0.656376\pi\)
−0.471746 + 0.881735i \(0.656376\pi\)
\(654\) −2.92285 −0.114293
\(655\) −0.747199 + 1.42367i −0.0291955 + 0.0556274i
\(656\) −5.33507 6.02205i −0.208300 0.235122i
\(657\) 10.5814i 0.412818i
\(658\) 9.04570 10.2105i 0.352638 0.398046i
\(659\) −15.6868 + 8.23309i −0.611072 + 0.320715i −0.741716 0.670714i \(-0.765988\pi\)
0.130644 + 0.991429i \(0.458296\pi\)
\(660\) 0.0167525 + 0.137969i 0.000652089 + 0.00537043i
\(661\) 4.75390 + 9.05780i 0.184905 + 0.352308i 0.960210 0.279280i \(-0.0900958\pi\)
−0.775304 + 0.631588i \(0.782404\pi\)
\(662\) −3.34521 27.5503i −0.130015 1.07077i
\(663\) −2.82367 + 19.7831i −0.109662 + 0.768311i
\(664\) 1.19996 9.88254i 0.0465674 0.383517i
\(665\) −51.6542 + 19.5898i −2.00306 + 0.759662i
\(666\) 6.93805 + 3.64137i 0.268844 + 0.141100i
\(667\) 9.67240 25.5040i 0.374517 0.987519i
\(668\) −9.63017 18.3488i −0.372602 0.709935i
\(669\) −6.05074 11.5287i −0.233935 0.445726i
\(670\) 1.93249 + 7.84042i 0.0746586 + 0.302902i
\(671\) −0.711411 0.0863809i −0.0274637 0.00333470i
\(672\) 14.8253 + 13.1341i 0.571900 + 0.506659i
\(673\) 16.9004 + 24.4844i 0.651462 + 0.943806i 0.999979 + 0.00650303i \(0.00206999\pi\)
−0.348517 + 0.937302i \(0.613315\pi\)
\(674\) −12.1052 4.59091i −0.466276 0.176835i
\(675\) −0.271896 −0.0104653
\(676\) 13.6268 + 0.571115i 0.524107 + 0.0219660i
\(677\) −30.9113 −1.18802 −0.594009 0.804459i \(-0.702455\pi\)
−0.594009 + 0.804459i \(0.702455\pi\)
\(678\) 9.19856 + 3.48855i 0.353269 + 0.133977i
\(679\) 7.57236 + 10.9705i 0.290600 + 0.421007i
\(680\) −28.3217 25.0908i −1.08609 0.962189i
\(681\) −22.2304 2.69926i −0.851872 0.103436i
\(682\) 0.0956469 + 0.388055i 0.00366251 + 0.0148594i
\(683\) −11.9913 22.8474i −0.458833 0.874233i −0.999456 0.0329685i \(-0.989504\pi\)
0.540623 0.841265i \(-0.318188\pi\)
\(684\) 3.05935 + 5.82910i 0.116977 + 0.222881i
\(685\) 16.6341 43.8605i 0.635555 1.67582i
\(686\) 2.32659 + 1.22109i 0.0888298 + 0.0466215i
\(687\) 2.50508 0.950053i 0.0955749 0.0362468i
\(688\) −0.161326 + 1.32864i −0.00615048 + 0.0506538i
\(689\) 9.06554 + 8.37670i 0.345369 + 0.319127i
\(690\) −0.948869 7.81464i −0.0361228 0.297498i
\(691\) −9.52643 18.1511i −0.362402 0.690500i 0.634173 0.773191i \(-0.281341\pi\)
−0.996575 + 0.0826912i \(0.973648\pi\)
\(692\) −0.939320 7.73599i −0.0357076 0.294078i
\(693\) 0.195890 0.102811i 0.00744123 0.00390546i
\(694\) −18.2902 + 20.6454i −0.694287 + 0.783688i
\(695\) 33.6109i 1.27494i
\(696\) 15.2959 + 17.2655i 0.579790 + 0.654448i
\(697\) −25.8691 + 49.2895i −0.979863 + 1.86697i
\(698\) 5.02108 0.190051
\(699\) −5.08233 −0.192231
\(700\) 0.508307 0.968499i 0.0192122 0.0366058i
\(701\) 13.9685 + 3.44293i 0.527584 + 0.130038i 0.494106 0.869402i \(-0.335495\pi\)
0.0334781 + 0.999439i \(0.489342\pi\)
\(702\) −0.769727 3.43057i −0.0290515 0.129478i
\(703\) −48.9562 + 12.0666i −1.84642 + 0.455101i
\(704\) 0.0916689 0.371915i 0.00345490 0.0140171i
\(705\) −2.97042 + 7.83235i −0.111872 + 0.294983i
\(706\) 2.73389 + 22.5156i 0.102891 + 0.847386i
\(707\) −1.86890 7.58244i −0.0702874 0.285167i
\(708\) −0.969243 + 3.93237i −0.0364264 + 0.147788i
\(709\) 28.4162 + 19.6143i 1.06719 + 0.736631i 0.966080 0.258244i \(-0.0831437\pi\)
0.101115 + 0.994875i \(0.467759\pi\)
\(710\) −19.2231 + 2.33411i −0.721431 + 0.0875975i
\(711\) 4.99845 + 13.1798i 0.187457 + 0.494282i
\(712\) 40.7527 21.3887i 1.52727 0.801574i
\(713\) 5.97737 + 24.2511i 0.223854 + 0.908212i
\(714\) −7.34861 + 19.3767i −0.275015 + 0.725154i
\(715\) 0.263039 + 0.398686i 0.00983709 + 0.0149100i
\(716\) −0.241129 0.635804i −0.00901140 0.0237611i
\(717\) 11.9875 8.27434i 0.447680 0.309011i
\(718\) −14.8180 + 13.1276i −0.553002 + 0.489917i
\(719\) 40.8372 + 10.0655i 1.52297 + 0.375379i 0.909960 0.414695i \(-0.136112\pi\)
0.613011 + 0.790074i \(0.289958\pi\)
\(720\) 1.71974 + 0.652211i 0.0640909 + 0.0243065i
\(721\) 25.9139 49.3749i 0.965086 1.83882i
\(722\) 18.5760 + 7.04493i 0.691326 + 0.262185i
\(723\) −12.6019 14.2246i −0.468669 0.529018i
\(724\) −2.87916 + 2.55072i −0.107003 + 0.0947966i
\(725\) 1.19825 1.73596i 0.0445017 0.0644719i
\(726\) 8.82495 + 6.09142i 0.327525 + 0.226074i
\(727\) −6.45083 3.38566i −0.239248 0.125567i 0.340839 0.940122i \(-0.389289\pi\)
−0.580087 + 0.814555i \(0.696981\pi\)
\(728\) 39.6969 + 10.6710i 1.47127 + 0.395494i
\(729\) 0.885456 0.464723i 0.0327947 0.0172120i
\(730\) 23.5183 + 2.85564i 0.870453 + 0.105692i
\(731\) 8.99122 2.21614i 0.332552 0.0819667i
\(732\) 7.40256 10.7245i 0.273607 0.396388i
\(733\) −20.1047 + 13.8772i −0.742583 + 0.512568i −0.878259 0.478185i \(-0.841295\pi\)
0.135676 + 0.990753i \(0.456679\pi\)
\(734\) −13.2966 + 15.0087i −0.490785 + 0.553982i
\(735\) −17.5570 2.13181i −0.647600 0.0786329i
\(736\) 4.34633 17.6337i 0.160208 0.649988i
\(737\) 0.184253 + 0.0967036i 0.00678706 + 0.00356212i
\(738\) 1.18050 9.72227i 0.0434547 0.357882i
\(739\) 33.9840 4.12641i 1.25012 0.151792i 0.531419 0.847109i \(-0.321659\pi\)
0.718703 + 0.695317i \(0.244736\pi\)
\(740\) 10.9957 15.9300i 0.404210 0.585599i
\(741\) 18.3462 + 13.2392i 0.673965 + 0.486353i
\(742\) 7.27128 + 10.5343i 0.266937 + 0.386725i
\(743\) 9.97400 + 11.2583i 0.365911 + 0.413028i 0.902414 0.430871i \(-0.141794\pi\)
−0.536503 + 0.843898i \(0.680255\pi\)
\(744\) −20.5081 5.05478i −0.751862 0.185317i
\(745\) 4.75791 + 6.89302i 0.174316 + 0.252541i
\(746\) 33.7629i 1.23615i
\(747\) 2.75551 1.90199i 0.100819 0.0695902i
\(748\) −0.333042 + 0.0404387i −0.0121772 + 0.00147858i
\(749\) 37.7662 14.3228i 1.37995 0.523345i
\(750\) −1.27600 + 10.5088i −0.0465928 + 0.383726i
\(751\) 15.5664 + 41.0452i 0.568025 + 1.49776i 0.843865 + 0.536556i \(0.180275\pi\)
−0.275840 + 0.961204i \(0.588956\pi\)
\(752\) 1.93795 2.18750i 0.0706699 0.0797699i
\(753\) −10.8308 9.59529i −0.394698 0.349672i
\(754\) 25.2951 + 10.2041i 0.921195 + 0.371611i
\(755\) 30.4241 26.9534i 1.10724 0.980933i
\(756\) 4.02281i 0.146308i
\(757\) 1.29055 + 1.14332i 0.0469057 + 0.0415548i 0.686250 0.727366i \(-0.259256\pi\)
−0.639344 + 0.768921i \(0.720794\pi\)
\(758\) −2.90444 + 0.715880i −0.105494 + 0.0260019i
\(759\) −0.166948 0.115236i −0.00605981 0.00418279i
\(760\) −40.0537 + 15.1904i −1.45290 + 0.551012i
\(761\) 25.7556 9.76781i 0.933640 0.354083i 0.159572 0.987186i \(-0.448988\pi\)
0.774067 + 0.633103i \(0.218219\pi\)
\(762\) 1.77775 + 1.22709i 0.0644012 + 0.0444529i
\(763\) 11.1594 2.75054i 0.403996 0.0995761i
\(764\) 1.51756 + 1.34444i 0.0549033 + 0.0486401i
\(765\) 12.7258i 0.460102i
\(766\) 26.6990 23.6533i 0.964675 0.854628i
\(767\) 3.04725 + 13.5812i 0.110030 + 0.490387i
\(768\) 12.7540 + 11.2990i 0.460219 + 0.407719i
\(769\) −0.508884 + 0.574411i −0.0183508 + 0.0207138i −0.757615 0.652702i \(-0.773635\pi\)
0.739264 + 0.673416i \(0.235174\pi\)
\(770\) 0.175644 + 0.463134i 0.00632975 + 0.0166902i
\(771\) −1.40320 + 11.5564i −0.0505350 + 0.416193i
\(772\) −12.0927 + 4.58615i −0.435225 + 0.165059i
\(773\) −2.01501 + 0.244666i −0.0724748 + 0.00880003i −0.156694 0.987647i \(-0.550084\pi\)
0.0842190 + 0.996447i \(0.473160\pi\)
\(774\) −1.34083 + 0.925510i −0.0481953 + 0.0332668i
\(775\) 1.93151i 0.0693819i
\(776\) 5.87176 + 8.50671i 0.210784 + 0.305373i
\(777\) −29.9159 7.37362i −1.07323 0.264527i
\(778\) 19.1998 + 21.6721i 0.688347 + 0.776984i
\(779\) 35.8004 + 51.8658i 1.28268 + 1.85829i
\(780\) −8.64203 + 0.866110i −0.309434 + 0.0310117i
\(781\) −0.283467 + 0.410672i −0.0101432 + 0.0146950i
\(782\) 18.8637 2.29047i 0.674565 0.0819070i
\(783\) −0.935115 + 7.70136i −0.0334183 + 0.275224i
\(784\) 5.46352 + 2.86748i 0.195126 + 0.102410i
\(785\) 2.52716 10.2531i 0.0901984 0.365949i
\(786\) 0.677861 + 0.0823072i 0.0241785 + 0.00293580i
\(787\) 20.5250 23.1679i 0.731637 0.825847i −0.258491 0.966014i \(-0.583225\pi\)
0.990128 + 0.140167i \(0.0447638\pi\)
\(788\) 9.19422 6.34631i 0.327531 0.226078i
\(789\) −5.23818 + 7.58882i −0.186484 + 0.270169i
\(790\) −30.6427 + 7.55275i −1.09022 + 0.268715i
\(791\) −38.4027 4.66293i −1.36544 0.165795i
\(792\) 0.151897 0.0797215i 0.00539741 0.00283278i
\(793\) 6.32798 44.3349i 0.224713 1.57438i
\(794\) 26.2288 + 13.7660i 0.930826 + 0.488535i
\(795\) −6.46887 4.46514i −0.229427 0.158362i
\(796\) −14.7609 + 21.3849i −0.523188 + 0.757968i
\(797\) −29.8665 + 26.4594i −1.05793 + 0.937241i −0.998140 0.0609701i \(-0.980581\pi\)
−0.0597869 + 0.998211i \(0.519042\pi\)
\(798\) 15.5581 + 17.5615i 0.550751 + 0.621669i
\(799\) −18.9065 7.17027i −0.668862 0.253666i
\(800\) 0.652685 1.24359i 0.0230759 0.0439675i
\(801\) 14.4735 + 5.48906i 0.511395 + 0.193946i
\(802\) 6.38368 + 1.57343i 0.225415 + 0.0555599i
\(803\) 0.456967 0.404837i 0.0161260 0.0142864i
\(804\) −3.11405 + 2.14947i −0.109824 + 0.0758060i
\(805\) 10.9767 + 28.9431i 0.386877 + 1.02011i
\(806\) −24.3703 + 5.46804i −0.858407 + 0.192603i
\(807\) 5.44316 14.3524i 0.191608 0.505229i
\(808\) −1.44919 5.87958i −0.0509822 0.206843i
\(809\) −1.07254 + 0.562910i −0.0377083 + 0.0197909i −0.483472 0.875360i \(-0.660624\pi\)
0.445764 + 0.895151i \(0.352932\pi\)
\(810\) 0.793940 + 2.09345i 0.0278962 + 0.0735563i
\(811\) −2.62674 + 0.318944i −0.0922374 + 0.0111996i −0.166525 0.986037i \(-0.553255\pi\)
0.0742878 + 0.997237i \(0.476332\pi\)
\(812\) −25.6843 17.7286i −0.901341 0.622150i
\(813\) −1.89747 + 7.69834i −0.0665472 + 0.269993i
\(814\) 0.108190 + 0.438943i 0.00379205 + 0.0153850i
\(815\) −4.25489 35.0422i −0.149042 1.22747i
\(816\) −1.57437 + 4.15127i −0.0551139 + 0.145324i
\(817\) 2.50899 10.1794i 0.0877784 0.356131i
\(818\) −36.0088 + 8.87536i −1.25902 + 0.310320i
\(819\) 6.16711 + 12.3735i 0.215496 + 0.432363i
\(820\) −23.4906 5.78991i −0.820326 0.202192i
\(821\) −18.5411 + 35.3272i −0.647090 + 1.23293i 0.312069 + 0.950060i \(0.398978\pi\)
−0.959159 + 0.282868i \(0.908714\pi\)
\(822\) −19.9219 −0.694855
\(823\) 13.6249 0.474935 0.237467 0.971395i \(-0.423683\pi\)
0.237467 + 0.971395i \(0.423683\pi\)
\(824\) 20.0942 38.2863i 0.700014 1.33377i
\(825\) −0.0104026 0.0117421i −0.000362172 0.000408807i
\(826\) 14.4341i 0.502227i
\(827\) 6.21417 7.01435i 0.216088 0.243913i −0.630465 0.776218i \(-0.717136\pi\)
0.846553 + 0.532305i \(0.178674\pi\)
\(828\) 3.26619 1.71423i 0.113508 0.0595736i
\(829\) −0.300422 2.47420i −0.0104341 0.0859324i 0.986562 0.163390i \(-0.0522429\pi\)
−0.996996 + 0.0774575i \(0.975320\pi\)
\(830\) 3.48376 + 6.63774i 0.120923 + 0.230399i
\(831\) 0.843172 + 6.94414i 0.0292493 + 0.240890i
\(832\) 23.1168 + 6.21407i 0.801430 + 0.215434i
\(833\) 5.14596 42.3808i 0.178297 1.46841i
\(834\) 13.3468 5.06176i 0.462161 0.175275i
\(835\) 40.1568 + 21.0759i 1.38968 + 0.729362i
\(836\) −0.134687 + 0.355139i −0.00465823 + 0.0122828i
\(837\) −3.30133 6.29016i −0.114111 0.217420i
\(838\) 9.15158 + 17.4369i 0.316136 + 0.602347i
\(839\) −0.301381 1.22275i −0.0104048 0.0422140i 0.965510 0.260366i \(-0.0838433\pi\)
−0.975915 + 0.218152i \(0.929997\pi\)
\(840\) −25.9861 3.15528i −0.896605 0.108868i
\(841\) −23.3426 20.6798i −0.804918 0.713095i
\(842\) 22.5933 + 32.7320i 0.778615 + 1.12802i
\(843\) 4.84246 + 1.83650i 0.166783 + 0.0632526i
\(844\) 0.157251 0.00541281
\(845\) −25.2536 + 15.9125i −0.868749 + 0.547407i
\(846\) 3.55754 0.122311
\(847\) −39.4257 14.9522i −1.35468 0.513764i
\(848\) 1.55780 + 2.25686i 0.0534951 + 0.0775011i
\(849\) 7.94082 + 7.03496i 0.272528 + 0.241439i
\(850\) 1.45877 + 0.177126i 0.0500352 + 0.00607538i
\(851\) 6.76122 + 27.4314i 0.231772 + 0.940335i
\(852\) −4.21681 8.03446i −0.144465 0.275256i
\(853\) −16.4107 31.2679i −0.561890 1.07059i −0.986275 0.165111i \(-0.947202\pi\)
0.424385 0.905482i \(-0.360490\pi\)
\(854\) 16.4686 43.4242i 0.563544 1.48594i
\(855\) −12.7572 6.69548i −0.436286 0.228980i
\(856\) 29.2847 11.1062i 1.00093 0.379603i
\(857\) −1.84975 + 15.2340i −0.0631862 + 0.520385i 0.926410 + 0.376515i \(0.122878\pi\)
−0.989597 + 0.143870i \(0.954045\pi\)
\(858\) 0.118703 0.164493i 0.00405246 0.00561570i
\(859\) −5.25129 43.2483i −0.179172 1.47561i −0.753749 0.657162i \(-0.771757\pi\)
0.574577 0.818450i \(-0.305167\pi\)
\(860\) 1.87039 + 3.56373i 0.0637798 + 0.121522i
\(861\) 4.64199 + 38.2303i 0.158199 + 1.30288i
\(862\) −0.190132 + 0.0997888i −0.00647591 + 0.00339882i
\(863\) −3.82858 + 4.32157i −0.130326 + 0.147108i −0.810051 0.586359i \(-0.800561\pi\)
0.679725 + 0.733467i \(0.262099\pi\)
\(864\) 5.16544i 0.175732i
\(865\) 11.3094 + 12.7657i 0.384532 + 0.434047i
\(866\) 7.27288 13.8573i 0.247143 0.470891i
\(867\) 13.7187 0.465912
\(868\) 28.5775 0.969985
\(869\) −0.377946 + 0.720117i −0.0128210 + 0.0244283i
\(870\) −16.8648 4.15681i −0.571771 0.140929i
\(871\) −6.28304 + 11.3853i −0.212893 + 0.385777i
\(872\) 8.65319 2.13282i 0.293034 0.0722264i
\(873\) −0.831965 + 3.37542i −0.0281578 + 0.114241i
\(874\) 7.62872 20.1153i 0.258045 0.680410i
\(875\) −5.01752 41.3230i −0.169623 1.39697i
\(876\) 2.65671 + 10.7787i 0.0897618 + 0.364178i
\(877\) 8.25185 33.4791i 0.278645 1.13051i −0.650117 0.759834i \(-0.725280\pi\)
0.928763 0.370675i \(-0.120874\pi\)
\(878\) 23.6797 + 16.3449i 0.799150 + 0.551613i
\(879\) 19.1868 2.32970i 0.647156 0.0785789i
\(880\) 0.0376299 + 0.0992220i 0.00126851 + 0.00334477i
\(881\) −11.2543 + 5.90671i −0.379167 + 0.199002i −0.643530 0.765421i \(-0.722531\pi\)
0.264363 + 0.964423i \(0.414838\pi\)
\(882\) 1.79753 + 7.29287i 0.0605260 + 0.245564i
\(883\) −20.3580 + 53.6797i −0.685102 + 1.80647i −0.100839 + 0.994903i \(0.532153\pi\)
−0.584264 + 0.811564i \(0.698617\pi\)
\(884\) −2.09070 20.8609i −0.0703177 0.701629i
\(885\) −3.14311 8.28769i −0.105654 0.278588i
\(886\) −29.7888 + 20.5617i −1.00077 + 0.690784i
\(887\) −9.87765 + 8.75084i −0.331659 + 0.293824i −0.812474 0.582998i \(-0.801880\pi\)
0.480814 + 0.876822i \(0.340341\pi\)
\(888\) −23.1974 5.71765i −0.778455 0.191872i
\(889\) −7.94216 3.01206i −0.266371 0.101021i
\(890\) −16.1061 + 30.6876i −0.539878 + 1.02865i
\(891\) 0.0539466 + 0.0204593i 0.00180728 + 0.000685411i
\(892\) 9.05813 + 10.2245i 0.303289 + 0.342342i
\(893\) −17.1353 + 15.1805i −0.573410 + 0.507997i
\(894\) 2.02066 2.92743i 0.0675809 0.0979078i
\(895\) 1.22475 + 0.845385i 0.0409389 + 0.0282581i
\(896\) −13.0953 6.87293i −0.437482 0.229609i
\(897\) 7.41824 10.2798i 0.247688 0.343234i
\(898\) −6.49054 + 3.40650i −0.216592 + 0.113676i
\(899\) 54.7095 + 6.64293i 1.82466 + 0.221554i
\(900\) 0.276966 0.0682660i 0.00923220 0.00227553i
\(901\) 10.7784 15.6152i 0.359080 0.520217i
\(902\) 0.465032 0.320988i 0.0154839 0.0106877i
\(903\) 4.24832 4.79536i 0.141375 0.159579i
\(904\) −29.7782 3.61573i −0.990409 0.120257i
\(905\) 2.01461 8.17361i 0.0669681 0.271700i
\(906\) −15.2849 8.02213i −0.507806 0.266517i
\(907\) −2.65394 + 21.8572i −0.0881228 + 0.725756i 0.879946 + 0.475073i \(0.157578\pi\)
−0.968069 + 0.250683i \(0.919345\pi\)
\(908\) 23.3227 2.83189i 0.773990 0.0939795i
\(909\) 1.15695 1.67613i 0.0383736 0.0555938i
\(910\) −29.1658 + 10.3679i −0.966838 + 0.343691i
\(911\) −18.3870 26.6382i −0.609188 0.882562i 0.390081 0.920781i \(-0.372447\pi\)
−0.999269 + 0.0382188i \(0.987832\pi\)
\(912\) 3.33317 + 3.76237i 0.110372 + 0.124585i
\(913\) 0.187564 + 0.0462303i 0.00620745 + 0.00153000i
\(914\) −3.14585 4.55755i −0.104055 0.150750i
\(915\) 28.5192i 0.942814i
\(916\) −2.31326 + 1.59673i −0.0764324 + 0.0527575i
\(917\) −2.66551 + 0.323651i −0.0880228 + 0.0106879i
\(918\) −5.05336 + 1.91649i −0.166786 + 0.0632535i
\(919\) −2.85191 + 23.4876i −0.0940757 + 0.774783i 0.866964 + 0.498371i \(0.166068\pi\)
−0.961039 + 0.276412i \(0.910855\pi\)
\(920\) 8.51154 + 22.4431i 0.280617 + 0.739926i
\(921\) −17.5113 + 19.7662i −0.577018 + 0.651319i
\(922\) −22.8406 20.2350i −0.752215 0.666404i
\(923\) −25.2872 18.2480i −0.832340 0.600641i
\(924\) −0.173729 + 0.153911i −0.00571528 + 0.00506329i
\(925\) 2.18480i 0.0718359i
\(926\) 0.376957 + 0.333955i 0.0123876 + 0.0109744i
\(927\) 14.1200 3.48026i 0.463760 0.114307i
\(928\) −32.9795 22.7641i −1.08261 0.747269i
\(929\) 6.94239 2.63290i 0.227772 0.0863827i −0.238078 0.971246i \(-0.576518\pi\)
0.465851 + 0.884863i \(0.345748\pi\)
\(930\) 14.8716 5.64005i 0.487659 0.184944i
\(931\) −39.7778 27.4566i −1.30366 0.899854i
\(932\) 5.17711 1.27604i 0.169582 0.0417981i
\(933\) 14.6759 + 13.0017i 0.480466 + 0.425656i
\(934\) 33.0374i 1.08102i
\(935\) 0.549576 0.486882i 0.0179731 0.0159228i
\(936\) 4.78210 + 9.59462i 0.156308 + 0.313610i
\(937\) 23.2291 + 20.5792i 0.758861 + 0.672292i 0.951040 0.309068i \(-0.100017\pi\)
−0.192179 + 0.981360i \(0.561556\pi\)
\(938\) −8.94244 + 10.0939i −0.291981 + 0.329578i
\(939\) −1.43832 3.79253i −0.0469377 0.123765i
\(940\) 1.05931 8.72420i 0.0345509 0.284552i
\(941\) −43.6385 + 16.5499i −1.42257 + 0.539511i −0.941454 0.337143i \(-0.890540\pi\)
−0.481121 + 0.876654i \(0.659770\pi\)
\(942\) −4.45206 + 0.540577i −0.145056 + 0.0176130i
\(943\) 29.0617 20.0599i 0.946380 0.653239i
\(944\) 3.09237i 0.100648i
\(945\) −5.00127 7.24559i −0.162691 0.235699i
\(946\) −0.0912687 0.0224957i −0.00296740 0.000731399i
\(947\) −9.34488 10.5482i −0.303668 0.342770i 0.576792 0.816891i \(-0.304304\pi\)
−0.880460 + 0.474121i \(0.842766\pi\)
\(948\) −8.40078 12.1706i −0.272845 0.395284i
\(949\) 24.6956 + 29.0805i 0.801654 + 0.943992i
\(950\) 0.945069 1.36917i 0.0306621 0.0444217i
\(951\) 1.16250 0.141153i 0.0376965 0.00457718i
\(952\) 7.61651 62.7276i 0.246853 2.03301i
\(953\) 33.0606 + 17.3515i 1.07094 + 0.562071i 0.905585 0.424164i \(-0.139432\pi\)
0.165351 + 0.986235i \(0.447124\pi\)
\(954\) −0.798886 + 3.24121i −0.0258649 + 0.104938i
\(955\) −4.40475 0.534834i −0.142534 0.0173068i
\(956\) −10.1335 + 11.4384i −0.327741 + 0.369944i
\(957\) −0.368368 + 0.254266i −0.0119077 + 0.00821926i
\(958\) 10.3856 15.0462i 0.335544 0.486120i
\(959\) 76.0612 18.7474i 2.45614 0.605385i
\(960\) −15.1325 1.83742i −0.488400 0.0593025i
\(961\) −17.2354 + 9.04582i −0.555980 + 0.291801i
\(962\) −27.5662 + 6.18510i −0.888769 + 0.199416i
\(963\) 9.32722 + 4.89530i 0.300566 + 0.157749i
\(964\) 16.4083 + 11.3258i 0.528476 + 0.364781i
\(965\) 16.0788 23.2942i 0.517595 0.749866i
\(966\) 9.84013 8.71759i 0.316601 0.280484i
\(967\) 8.87326 + 10.0158i 0.285345 + 0.322088i 0.873653 0.486549i \(-0.161744\pi\)
−0.588309 + 0.808637i \(0.700206\pi\)
\(968\) −30.5715 11.5942i −0.982605 0.372653i
\(969\) 16.1622 30.7944i 0.519204 0.989260i
\(970\) −7.27774 2.76008i −0.233674 0.0886209i
\(971\) 30.0183 + 7.39886i 0.963334 + 0.237441i 0.689459 0.724325i \(-0.257848\pi\)
0.273875 + 0.961765i \(0.411694\pi\)
\(972\) −0.785288 + 0.695704i −0.0251881 + 0.0223147i
\(973\) −46.1942 + 31.8856i −1.48092 + 1.02220i
\(974\) −3.29261 8.68190i −0.105502 0.278186i
\(975\) 0.747243 0.634572i 0.0239309 0.0203226i
\(976\) 3.52824 9.30321i 0.112936 0.297788i
\(977\) −2.07477 8.41766i −0.0663777 0.269305i 0.928371 0.371656i \(-0.121210\pi\)
−0.994748 + 0.102351i \(0.967364\pi\)
\(978\) −13.2743 + 6.96690i −0.424466 + 0.222777i
\(979\) 0.316696 + 0.835060i 0.0101217 + 0.0266886i
\(980\) 18.4197 2.23655i 0.588394 0.0714440i
\(981\) 2.46683 + 1.70273i 0.0787597 + 0.0543639i
\(982\) 1.08102 4.38586i 0.0344966 0.139958i
\(983\) 10.6212 + 43.0920i 0.338764 + 1.37442i 0.855290 + 0.518150i \(0.173379\pi\)
−0.516526 + 0.856272i \(0.672775\pi\)
\(984\) 3.59949 + 29.6445i 0.114748 + 0.945032i
\(985\) −8.67004 + 22.8610i −0.276250 + 0.728412i
\(986\) 10.0341 40.7099i 0.319551 1.29647i
\(987\) −13.5826 + 3.34780i −0.432338 + 0.106562i
\(988\) −22.0123 8.87980i −0.700306 0.282504i
\(989\) −5.70375 1.40585i −0.181369 0.0447034i
\(990\) −0.0600320 + 0.114381i −0.00190794 + 0.00363528i
\(991\) −17.0170 −0.540563 −0.270282 0.962781i \(-0.587117\pi\)
−0.270282 + 0.962781i \(0.587117\pi\)
\(992\) 36.6946 1.16506
\(993\) −13.2263 + 25.2006i −0.419724 + 0.799717i
\(994\) −21.4443 24.2056i −0.680171 0.767755i
\(995\) 56.8681i 1.80284i
\(996\) −2.32935 + 2.62929i −0.0738083 + 0.0833124i
\(997\) −36.9184 + 19.3763i −1.16922 + 0.613653i −0.933644 0.358203i \(-0.883389\pi\)
−0.235574 + 0.971856i \(0.575697\pi\)
\(998\) −0.826164 6.80408i −0.0261518 0.215379i
\(999\) −3.73426 7.11504i −0.118147 0.225110i
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 507.2.p.a.25.5 168
169.142 even 26 inner 507.2.p.a.142.5 yes 168
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
507.2.p.a.25.5 168 1.1 even 1 trivial
507.2.p.a.142.5 yes 168 169.142 even 26 inner