Properties

Label 294.2.j.a.251.20
Level $294$
Weight $2$
Character 294.251
Analytic conductor $2.348$
Analytic rank $0$
Dimension $120$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [294,2,Mod(41,294)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(294, base_ring=CyclotomicField(14))
 
chi = DirichletCharacter(H, H._module([7, 5]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("294.41");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 294 = 2 \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 294.j (of order \(14\), degree \(6\), 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: \(2.34760181943\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(20\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 251.20
Character \(\chi\) \(=\) 294.251
Dual form 294.2.j.a.41.20

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.781831 + 0.623490i) q^{2} +(1.72885 - 0.105257i) q^{3} +(0.222521 + 0.974928i) q^{4} +(-1.32694 - 0.639022i) q^{5} +(1.41730 + 0.995627i) q^{6} +(1.06200 + 2.42325i) q^{7} +(-0.433884 + 0.900969i) q^{8} +(2.97784 - 0.363947i) q^{9} +O(q^{10})\) \(q+(0.781831 + 0.623490i) q^{2} +(1.72885 - 0.105257i) q^{3} +(0.222521 + 0.974928i) q^{4} +(-1.32694 - 0.639022i) q^{5} +(1.41730 + 0.995627i) q^{6} +(1.06200 + 2.42325i) q^{7} +(-0.433884 + 0.900969i) q^{8} +(2.97784 - 0.363947i) q^{9} +(-0.639022 - 1.32694i) q^{10} +(-1.54863 - 1.23499i) q^{11} +(0.487323 + 1.66208i) q^{12} +(2.81675 + 2.24628i) q^{13} +(-0.680565 + 2.55672i) q^{14} +(-2.36134 - 0.965102i) q^{15} +(-0.900969 + 0.433884i) q^{16} +(0.364924 - 1.59884i) q^{17} +(2.55509 + 1.57211i) q^{18} -3.32283i q^{19} +(0.327728 - 1.43587i) q^{20} +(2.09111 + 4.07765i) q^{21} +(-0.440762 - 1.93110i) q^{22} +(-1.55008 + 0.353797i) q^{23} +(-0.655286 + 1.60331i) q^{24} +(-1.76502 - 2.21327i) q^{25} +(0.801689 + 3.51243i) q^{26} +(5.10993 - 0.942649i) q^{27} +(-2.12618 + 1.57460i) q^{28} +(-8.42627 - 1.92324i) q^{29} +(-1.24444 - 2.22682i) q^{30} -7.72115i q^{31} +(-0.974928 - 0.222521i) q^{32} +(-2.80733 - 1.97210i) q^{33} +(1.28217 - 1.02249i) q^{34} +(0.139293 - 3.89416i) q^{35} +(1.01745 + 2.82220i) q^{36} +(-1.59721 + 6.99784i) q^{37} +(2.07175 - 2.59789i) q^{38} +(5.10618 + 3.58700i) q^{39} +(1.15148 - 0.918272i) q^{40} +(-4.55013 - 2.19123i) q^{41} +(-0.907481 + 4.49182i) q^{42} +(-4.87660 + 2.34845i) q^{43} +(0.859422 - 1.78461i) q^{44} +(-4.18399 - 1.41997i) q^{45} +(-1.43249 - 0.689853i) q^{46} +(-2.86905 + 3.59768i) q^{47} +(-1.51197 + 0.844953i) q^{48} +(-4.74430 + 5.14700i) q^{49} -2.83088i q^{50} +(0.462610 - 2.80256i) q^{51} +(-1.56318 + 3.24597i) q^{52} +(13.0036 - 2.96798i) q^{53} +(4.58284 + 2.44900i) q^{54} +(1.26575 + 2.62836i) q^{55} +(-2.64406 - 0.0945772i) q^{56} +(-0.349751 - 5.74467i) q^{57} +(-5.38880 - 6.75734i) q^{58} +(3.81131 - 1.83543i) q^{59} +(0.415456 - 2.51690i) q^{60} +(10.9005 + 2.48797i) q^{61} +(4.81406 - 6.03664i) q^{62} +(4.04442 + 6.82955i) q^{63} +(-0.623490 - 0.781831i) q^{64} +(-2.30224 - 4.78065i) q^{65} +(-0.965273 - 3.29219i) q^{66} -5.99565 q^{67} +1.63995 q^{68} +(-2.64262 + 0.774819i) q^{69} +(2.53687 - 2.95773i) q^{70} +(-8.40837 + 1.91916i) q^{71} +(-0.964132 + 2.84085i) q^{72} +(5.11254 - 4.07712i) q^{73} +(-5.61183 + 4.47528i) q^{74} +(-3.28442 - 3.64063i) q^{75} +(3.23952 - 0.739399i) q^{76} +(1.34804 - 5.06427i) q^{77} +(1.75571 + 5.98808i) q^{78} -7.73563 q^{79} +1.47279 q^{80} +(8.73508 - 2.16756i) q^{81} +(-2.19123 - 4.55013i) q^{82} +(6.53297 + 8.19209i) q^{83} +(-3.51010 + 2.94604i) q^{84} +(-1.50592 + 1.88837i) q^{85} +(-5.27691 - 1.20442i) q^{86} +(-14.7702 - 2.43807i) q^{87} +(1.78461 - 0.859422i) q^{88} +(-5.78822 - 7.25820i) q^{89} +(-2.38584 - 3.71885i) q^{90} +(-2.45191 + 9.21126i) q^{91} +(-0.689853 - 1.43249i) q^{92} +(-0.812706 - 13.3487i) q^{93} +(-4.48623 + 1.02395i) q^{94} +(-2.12336 + 4.40920i) q^{95} +(-1.70893 - 0.282087i) q^{96} +7.64326i q^{97} +(-6.91834 + 1.06607i) q^{98} +(-5.06103 - 3.11398i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120 q + 20 q^{4} - 14 q^{6} + 4 q^{7} - 10 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 120 q + 20 q^{4} - 14 q^{6} + 4 q^{7} - 10 q^{9} + 12 q^{15} - 20 q^{16} - 8 q^{18} - 12 q^{21} - 10 q^{22} - 24 q^{25} + 42 q^{27} - 4 q^{28} + 8 q^{30} + 10 q^{36} - 58 q^{37} + 8 q^{39} - 14 q^{40} - 2 q^{42} - 12 q^{43} + 14 q^{45} - 60 q^{46} - 36 q^{49} - 24 q^{51} - 42 q^{52} - 14 q^{55} + 34 q^{57} + 50 q^{58} - 12 q^{60} - 154 q^{61} + 20 q^{64} - 28 q^{67} + 28 q^{69} - 38 q^{70} + 8 q^{72} - 84 q^{75} - 16 q^{78} + 16 q^{79} + 22 q^{81} - 30 q^{84} - 32 q^{85} - 56 q^{87} - 4 q^{88} - 42 q^{90} + 88 q^{91} + 14 q^{93} + 112 q^{94} - 224 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/294\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(199\)
\(\chi(n)\) \(-1\) \(e\left(\frac{9}{14}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.781831 + 0.623490i 0.552838 + 0.440874i
\(3\) 1.72885 0.105257i 0.998152 0.0607702i
\(4\) 0.222521 + 0.974928i 0.111260 + 0.487464i
\(5\) −1.32694 0.639022i −0.593427 0.285779i 0.112967 0.993599i \(-0.463965\pi\)
−0.706393 + 0.707820i \(0.749679\pi\)
\(6\) 1.41730 + 0.995627i 0.578609 + 0.406463i
\(7\) 1.06200 + 2.42325i 0.401400 + 0.915903i
\(8\) −0.433884 + 0.900969i −0.153401 + 0.318541i
\(9\) 2.97784 0.363947i 0.992614 0.121316i
\(10\) −0.639022 1.32694i −0.202076 0.419616i
\(11\) −1.54863 1.23499i −0.466928 0.372363i 0.361579 0.932342i \(-0.382238\pi\)
−0.828507 + 0.559979i \(0.810809\pi\)
\(12\) 0.487323 + 1.66208i 0.140678 + 0.479802i
\(13\) 2.81675 + 2.24628i 0.781226 + 0.623007i 0.930710 0.365757i \(-0.119190\pi\)
−0.149484 + 0.988764i \(0.547761\pi\)
\(14\) −0.680565 + 2.55672i −0.181889 + 0.683313i
\(15\) −2.36134 0.965102i −0.609697 0.249188i
\(16\) −0.900969 + 0.433884i −0.225242 + 0.108471i
\(17\) 0.364924 1.59884i 0.0885071 0.387775i −0.911200 0.411963i \(-0.864843\pi\)
0.999707 + 0.0241887i \(0.00770027\pi\)
\(18\) 2.55509 + 1.57211i 0.602240 + 0.370550i
\(19\) 3.32283i 0.762309i −0.924511 0.381155i \(-0.875527\pi\)
0.924511 0.381155i \(-0.124473\pi\)
\(20\) 0.327728 1.43587i 0.0732821 0.321070i
\(21\) 2.09111 + 4.07765i 0.456317 + 0.889817i
\(22\) −0.440762 1.93110i −0.0939707 0.411713i
\(23\) −1.55008 + 0.353797i −0.323215 + 0.0737717i −0.381050 0.924554i \(-0.624437\pi\)
0.0578350 + 0.998326i \(0.481580\pi\)
\(24\) −0.655286 + 1.60331i −0.133760 + 0.327274i
\(25\) −1.76502 2.21327i −0.353004 0.442654i
\(26\) 0.801689 + 3.51243i 0.157224 + 0.688844i
\(27\) 5.10993 0.942649i 0.983407 0.181413i
\(28\) −2.12618 + 1.57460i −0.401810 + 0.297572i
\(29\) −8.42627 1.92324i −1.56472 0.357137i −0.649585 0.760289i \(-0.725057\pi\)
−0.915133 + 0.403152i \(0.867915\pi\)
\(30\) −1.24444 2.22682i −0.227203 0.406560i
\(31\) 7.72115i 1.38676i −0.720572 0.693380i \(-0.756121\pi\)
0.720572 0.693380i \(-0.243879\pi\)
\(32\) −0.974928 0.222521i −0.172345 0.0393365i
\(33\) −2.80733 1.97210i −0.488694 0.343299i
\(34\) 1.28217 1.02249i 0.219890 0.175356i
\(35\) 0.139293 3.89416i 0.0235448 0.658233i
\(36\) 1.01745 + 2.82220i 0.169576 + 0.470366i
\(37\) −1.59721 + 6.99784i −0.262580 + 1.15044i 0.655862 + 0.754881i \(0.272305\pi\)
−0.918442 + 0.395556i \(0.870552\pi\)
\(38\) 2.07175 2.59789i 0.336082 0.421434i
\(39\) 5.10618 + 3.58700i 0.817642 + 0.574380i
\(40\) 1.15148 0.918272i 0.182065 0.145192i
\(41\) −4.55013 2.19123i −0.710611 0.342212i 0.0434147 0.999057i \(-0.486176\pi\)
−0.754026 + 0.656845i \(0.771891\pi\)
\(42\) −0.907481 + 4.49182i −0.140027 + 0.693103i
\(43\) −4.87660 + 2.34845i −0.743674 + 0.358135i −0.767046 0.641592i \(-0.778274\pi\)
0.0233718 + 0.999727i \(0.492560\pi\)
\(44\) 0.859422 1.78461i 0.129563 0.269040i
\(45\) −4.18399 1.41997i −0.623713 0.211676i
\(46\) −1.43249 0.689853i −0.211210 0.101713i
\(47\) −2.86905 + 3.59768i −0.418494 + 0.524775i −0.945734 0.324941i \(-0.894656\pi\)
0.527240 + 0.849717i \(0.323227\pi\)
\(48\) −1.51197 + 0.844953i −0.218234 + 0.121958i
\(49\) −4.74430 + 5.14700i −0.677757 + 0.735286i
\(50\) 2.83088i 0.400346i
\(51\) 0.462610 2.80256i 0.0647783 0.392437i
\(52\) −1.56318 + 3.24597i −0.216774 + 0.450136i
\(53\) 13.0036 2.96798i 1.78618 0.407684i 0.803849 0.594833i \(-0.202782\pi\)
0.982331 + 0.187149i \(0.0599248\pi\)
\(54\) 4.58284 + 2.44900i 0.623645 + 0.333266i
\(55\) 1.26575 + 2.62836i 0.170674 + 0.354408i
\(56\) −2.64406 0.0945772i −0.353327 0.0126384i
\(57\) −0.349751 5.74467i −0.0463257 0.760900i
\(58\) −5.38880 6.75734i −0.707584 0.887282i
\(59\) 3.81131 1.83543i 0.496190 0.238952i −0.169015 0.985614i \(-0.554059\pi\)
0.665205 + 0.746661i \(0.268344\pi\)
\(60\) 0.415456 2.51690i 0.0536352 0.324930i
\(61\) 10.9005 + 2.48797i 1.39567 + 0.318552i 0.853225 0.521542i \(-0.174643\pi\)
0.542441 + 0.840094i \(0.317500\pi\)
\(62\) 4.81406 6.03664i 0.611386 0.766654i
\(63\) 4.04442 + 6.82955i 0.509548 + 0.860442i
\(64\) −0.623490 0.781831i −0.0779362 0.0977289i
\(65\) −2.30224 4.78065i −0.285558 0.592967i
\(66\) −0.965273 3.29219i −0.118817 0.405241i
\(67\) −5.99565 −0.732485 −0.366243 0.930519i \(-0.619356\pi\)
−0.366243 + 0.930519i \(0.619356\pi\)
\(68\) 1.63995 0.198874
\(69\) −2.64262 + 0.774819i −0.318135 + 0.0932772i
\(70\) 2.53687 2.95773i 0.303214 0.353516i
\(71\) −8.40837 + 1.91916i −0.997890 + 0.227762i −0.690117 0.723698i \(-0.742441\pi\)
−0.307773 + 0.951460i \(0.599584\pi\)
\(72\) −0.964132 + 2.84085i −0.113624 + 0.334798i
\(73\) 5.11254 4.07712i 0.598378 0.477191i −0.276842 0.960915i \(-0.589288\pi\)
0.875220 + 0.483725i \(0.160716\pi\)
\(74\) −5.61183 + 4.47528i −0.652362 + 0.520241i
\(75\) −3.28442 3.64063i −0.379252 0.420383i
\(76\) 3.23952 0.739399i 0.371598 0.0848149i
\(77\) 1.34804 5.06427i 0.153623 0.577127i
\(78\) 1.75571 + 5.98808i 0.198795 + 0.678017i
\(79\) −7.73563 −0.870327 −0.435163 0.900351i \(-0.643309\pi\)
−0.435163 + 0.900351i \(0.643309\pi\)
\(80\) 1.47279 0.164663
\(81\) 8.73508 2.16756i 0.970565 0.240840i
\(82\) −2.19123 4.55013i −0.241981 0.502478i
\(83\) 6.53297 + 8.19209i 0.717087 + 0.899199i 0.998169 0.0604852i \(-0.0192648\pi\)
−0.281082 + 0.959684i \(0.590693\pi\)
\(84\) −3.51010 + 2.94604i −0.382984 + 0.321440i
\(85\) −1.50592 + 1.88837i −0.163340 + 0.204822i
\(86\) −5.27691 1.20442i −0.569024 0.129876i
\(87\) −14.7702 2.43807i −1.58353 0.261388i
\(88\) 1.78461 0.859422i 0.190240 0.0916147i
\(89\) −5.78822 7.25820i −0.613550 0.769367i 0.373871 0.927481i \(-0.378030\pi\)
−0.987421 + 0.158113i \(0.949459\pi\)
\(90\) −2.38584 3.71885i −0.251490 0.392002i
\(91\) −2.45191 + 9.21126i −0.257030 + 0.965602i
\(92\) −0.689853 1.43249i −0.0719221 0.149348i
\(93\) −0.812706 13.3487i −0.0842737 1.38420i
\(94\) −4.48623 + 1.02395i −0.462719 + 0.105613i
\(95\) −2.12336 + 4.40920i −0.217852 + 0.452374i
\(96\) −1.70893 0.282087i −0.174416 0.0287904i
\(97\) 7.64326i 0.776056i 0.921648 + 0.388028i \(0.126844\pi\)
−0.921648 + 0.388028i \(0.873156\pi\)
\(98\) −6.91834 + 1.06607i −0.698858 + 0.107689i
\(99\) −5.06103 3.11398i −0.508653 0.312967i
\(100\) 1.76502 2.21327i 0.176502 0.221327i
\(101\) 9.59189 + 4.61921i 0.954428 + 0.459628i 0.845237 0.534392i \(-0.179459\pi\)
0.109192 + 0.994021i \(0.465174\pi\)
\(102\) 2.10905 1.90270i 0.208827 0.188395i
\(103\) 5.60788 11.6449i 0.552561 1.14741i −0.418421 0.908253i \(-0.637416\pi\)
0.970982 0.239152i \(-0.0768694\pi\)
\(104\) −3.24597 + 1.56318i −0.318294 + 0.153282i
\(105\) −0.169071 6.74707i −0.0164997 0.658447i
\(106\) 12.0171 + 5.78714i 1.16721 + 0.562097i
\(107\) 0.462864 0.369122i 0.0447468 0.0356844i −0.600861 0.799353i \(-0.705176\pi\)
0.645608 + 0.763669i \(0.276604\pi\)
\(108\) 2.05608 + 4.77206i 0.197847 + 0.459191i
\(109\) 7.65924 9.60438i 0.733622 0.919933i −0.265400 0.964138i \(-0.585504\pi\)
0.999022 + 0.0442054i \(0.0140756\pi\)
\(110\) −0.649152 + 2.84412i −0.0618942 + 0.271176i
\(111\) −2.02476 + 12.2663i −0.192182 + 1.16427i
\(112\) −2.00824 1.72249i −0.189761 0.162760i
\(113\) 0.488590 0.389638i 0.0459627 0.0366540i −0.600239 0.799821i \(-0.704928\pi\)
0.646202 + 0.763167i \(0.276356\pi\)
\(114\) 3.30830 4.70943i 0.309850 0.441079i
\(115\) 2.28296 + 0.521070i 0.212887 + 0.0485900i
\(116\) 8.64296i 0.802479i
\(117\) 9.20537 + 5.66393i 0.851036 + 0.523630i
\(118\) 4.12417 + 0.941315i 0.379661 + 0.0866551i
\(119\) 4.26193 0.813667i 0.390691 0.0745888i
\(120\) 1.89408 1.70876i 0.172905 0.155987i
\(121\) −1.57468 6.89914i −0.143153 0.627195i
\(122\) 6.97113 + 8.74152i 0.631137 + 0.791420i
\(123\) −8.09713 3.30937i −0.730094 0.298396i
\(124\) 7.52757 1.71812i 0.675996 0.154292i
\(125\) 2.56639 + 11.2441i 0.229545 + 1.00570i
\(126\) −1.09610 + 7.86121i −0.0976485 + 0.700332i
\(127\) −3.60492 + 15.7942i −0.319885 + 1.40151i 0.517868 + 0.855461i \(0.326726\pi\)
−0.837753 + 0.546049i \(0.816131\pi\)
\(128\) 1.00000i 0.0883883i
\(129\) −8.18371 + 4.57341i −0.720536 + 0.402666i
\(130\) 1.18072 5.17309i 0.103556 0.453710i
\(131\) −1.39804 + 0.673260i −0.122147 + 0.0588230i −0.493959 0.869485i \(-0.664451\pi\)
0.371812 + 0.928308i \(0.378737\pi\)
\(132\) 1.29797 3.17578i 0.112974 0.276416i
\(133\) 8.05205 3.52886i 0.698201 0.305991i
\(134\) −4.68759 3.73823i −0.404946 0.322934i
\(135\) −7.38296 2.01452i −0.635424 0.173382i
\(136\) 1.28217 + 1.02249i 0.109945 + 0.0876781i
\(137\) 3.52575 + 7.32129i 0.301225 + 0.625500i 0.995558 0.0941541i \(-0.0300146\pi\)
−0.694333 + 0.719654i \(0.744300\pi\)
\(138\) −2.54918 1.04187i −0.217000 0.0886900i
\(139\) 0.557993 1.15868i 0.0473283 0.0982783i −0.875964 0.482377i \(-0.839774\pi\)
0.923292 + 0.384099i \(0.125488\pi\)
\(140\) 3.82752 0.730731i 0.323484 0.0617581i
\(141\) −4.58148 + 6.52183i −0.385830 + 0.549237i
\(142\) −7.77051 3.74208i −0.652086 0.314028i
\(143\) −1.58796 6.95730i −0.132792 0.581799i
\(144\) −2.52503 + 1.61994i −0.210419 + 0.134995i
\(145\) 9.95217 + 7.93659i 0.826483 + 0.659098i
\(146\) 6.53919 0.541187
\(147\) −7.66042 + 9.39777i −0.631820 + 0.775115i
\(148\) −7.17780 −0.590011
\(149\) 17.2664 + 13.7695i 1.41452 + 1.12804i 0.973004 + 0.230790i \(0.0741309\pi\)
0.441517 + 0.897253i \(0.354440\pi\)
\(150\) −0.297970 4.89416i −0.0243291 0.399606i
\(151\) 2.45059 + 10.7368i 0.199427 + 0.873745i 0.971279 + 0.237943i \(0.0764732\pi\)
−0.771852 + 0.635802i \(0.780670\pi\)
\(152\) 2.99376 + 1.44172i 0.242826 + 0.116939i
\(153\) 0.504793 4.89389i 0.0408101 0.395648i
\(154\) 4.21146 3.11892i 0.339369 0.251329i
\(155\) −4.93398 + 10.2455i −0.396307 + 0.822940i
\(156\) −2.36084 + 5.77634i −0.189018 + 0.462477i
\(157\) 4.94561 + 10.2697i 0.394703 + 0.819609i 0.999726 + 0.0234010i \(0.00744946\pi\)
−0.605023 + 0.796208i \(0.706836\pi\)
\(158\) −6.04796 4.82309i −0.481150 0.383704i
\(159\) 22.1688 6.49992i 1.75810 0.515477i
\(160\) 1.15148 + 0.918272i 0.0910323 + 0.0725958i
\(161\) −2.50353 3.38051i −0.197306 0.266422i
\(162\) 8.18081 + 3.75157i 0.642745 + 0.294751i
\(163\) −12.5794 + 6.05791i −0.985293 + 0.474492i −0.855922 0.517104i \(-0.827010\pi\)
−0.129371 + 0.991596i \(0.541296\pi\)
\(164\) 1.12379 4.92364i 0.0877532 0.384472i
\(165\) 2.46495 + 4.41081i 0.191896 + 0.343381i
\(166\) 10.4781i 0.813256i
\(167\) −3.88274 + 17.0114i −0.300455 + 1.31638i 0.568987 + 0.822346i \(0.307335\pi\)
−0.869442 + 0.494034i \(0.835522\pi\)
\(168\) −4.58114 + 0.114796i −0.353442 + 0.00885673i
\(169\) −0.00447860 0.0196220i −0.000344507 0.00150939i
\(170\) −2.35476 + 0.537458i −0.180602 + 0.0412211i
\(171\) −1.20933 9.89486i −0.0924801 0.756679i
\(172\) −3.37471 4.23175i −0.257319 0.322668i
\(173\) 4.23299 + 18.5459i 0.321828 + 1.41002i 0.834297 + 0.551316i \(0.185874\pi\)
−0.512469 + 0.858706i \(0.671269\pi\)
\(174\) −10.0277 11.1152i −0.760197 0.842642i
\(175\) 3.48885 6.62759i 0.263732 0.500999i
\(176\) 1.93110 + 0.440762i 0.145562 + 0.0332237i
\(177\) 6.39598 3.57435i 0.480752 0.268664i
\(178\) 9.28358i 0.695834i
\(179\) −6.70000 1.52923i −0.500782 0.114300i −0.0353340 0.999376i \(-0.511250\pi\)
−0.465448 + 0.885075i \(0.654107\pi\)
\(180\) 0.453340 4.39507i 0.0337900 0.327589i
\(181\) 1.16733 0.930913i 0.0867668 0.0691942i −0.579146 0.815224i \(-0.696614\pi\)
0.665913 + 0.746030i \(0.268042\pi\)
\(182\) −7.66011 + 5.67291i −0.567805 + 0.420504i
\(183\) 19.1072 + 3.15397i 1.41245 + 0.233148i
\(184\) 0.353797 1.55008i 0.0260822 0.114274i
\(185\) 6.59117 8.26507i 0.484593 0.607660i
\(186\) 7.68739 10.9432i 0.563667 0.802391i
\(187\) −2.53967 + 2.02532i −0.185719 + 0.148106i
\(188\) −4.14590 1.99656i −0.302371 0.145614i
\(189\) 7.71104 + 11.3816i 0.560896 + 0.827886i
\(190\) −4.40920 + 2.12336i −0.319877 + 0.154045i
\(191\) −5.00229 + 10.3874i −0.361953 + 0.751603i −0.999828 0.0185366i \(-0.994099\pi\)
0.637875 + 0.770140i \(0.279814\pi\)
\(192\) −1.16021 1.28604i −0.0837312 0.0928121i
\(193\) −16.1615 7.78296i −1.16333 0.560229i −0.250317 0.968164i \(-0.580535\pi\)
−0.913011 + 0.407934i \(0.866249\pi\)
\(194\) −4.76550 + 5.97574i −0.342143 + 0.429033i
\(195\) −4.48343 8.02270i −0.321065 0.574518i
\(196\) −6.07366 3.48003i −0.433833 0.248574i
\(197\) 16.1287i 1.14912i −0.818462 0.574560i \(-0.805173\pi\)
0.818462 0.574560i \(-0.194827\pi\)
\(198\) −2.01534 5.59011i −0.143224 0.397272i
\(199\) 2.60766 5.41486i 0.184852 0.383850i −0.787863 0.615850i \(-0.788813\pi\)
0.972716 + 0.232000i \(0.0745270\pi\)
\(200\) 2.75990 0.629929i 0.195154 0.0445427i
\(201\) −10.3656 + 0.631085i −0.731131 + 0.0445133i
\(202\) 4.61921 + 9.59189i 0.325006 + 0.674883i
\(203\) −4.28823 22.4614i −0.300975 1.57648i
\(204\) 2.83523 0.172617i 0.198506 0.0120856i
\(205\) 4.63752 + 5.81526i 0.323898 + 0.406156i
\(206\) 11.6449 5.60788i 0.811338 0.390720i
\(207\) −4.48714 + 1.61770i −0.311878 + 0.112438i
\(208\) −3.51243 0.801689i −0.243543 0.0555872i
\(209\) −4.10365 + 5.14581i −0.283855 + 0.355943i
\(210\) 4.07455 5.38049i 0.281170 0.371289i
\(211\) 0.969347 + 1.21552i 0.0667326 + 0.0836801i 0.814077 0.580756i \(-0.197243\pi\)
−0.747345 + 0.664436i \(0.768672\pi\)
\(212\) 5.78714 + 12.0171i 0.397463 + 0.825339i
\(213\) −14.3348 + 4.20297i −0.982205 + 0.287983i
\(214\) 0.592026 0.0404700
\(215\) 7.97167 0.543663
\(216\) −1.36782 + 5.01289i −0.0930683 + 0.341084i
\(217\) 18.7103 8.19989i 1.27014 0.556645i
\(218\) 11.9765 2.73355i 0.811149 0.185139i
\(219\) 8.40967 7.58685i 0.568273 0.512672i
\(220\) −2.28081 + 1.81888i −0.153772 + 0.122629i
\(221\) 4.61934 3.68380i 0.310730 0.247799i
\(222\) −9.23095 + 8.32778i −0.619541 + 0.558924i
\(223\) −17.0995 + 3.90285i −1.14507 + 0.261354i −0.752642 0.658429i \(-0.771221\pi\)
−0.392426 + 0.919784i \(0.628364\pi\)
\(224\) −0.496153 2.59881i −0.0331506 0.173641i
\(225\) −6.06147 5.94839i −0.404098 0.396559i
\(226\) 0.624930 0.0415698
\(227\) −7.72625 −0.512809 −0.256405 0.966570i \(-0.582538\pi\)
−0.256405 + 0.966570i \(0.582538\pi\)
\(228\) 5.52281 1.61929i 0.365757 0.107240i
\(229\) −11.3034 23.4718i −0.746950 1.55106i −0.832059 0.554687i \(-0.812838\pi\)
0.0851091 0.996372i \(-0.472876\pi\)
\(230\) 1.46001 + 1.83079i 0.0962699 + 0.120719i
\(231\) 1.79751 8.89725i 0.118267 0.585396i
\(232\) 5.38880 6.75734i 0.353792 0.443641i
\(233\) 15.4871 + 3.53482i 1.01459 + 0.231574i 0.697319 0.716761i \(-0.254376\pi\)
0.317272 + 0.948335i \(0.397233\pi\)
\(234\) 3.66564 + 10.1677i 0.239631 + 0.664683i
\(235\) 6.10606 2.94052i 0.398316 0.191819i
\(236\) 2.63751 + 3.30733i 0.171687 + 0.215289i
\(237\) −13.3737 + 0.814230i −0.868718 + 0.0528900i
\(238\) 3.83943 + 2.02112i 0.248873 + 0.131010i
\(239\) 10.4073 + 21.6109i 0.673190 + 1.39789i 0.905118 + 0.425161i \(0.139783\pi\)
−0.231927 + 0.972733i \(0.574503\pi\)
\(240\) 2.54624 0.155022i 0.164359 0.0100066i
\(241\) −0.292112 + 0.0666726i −0.0188166 + 0.00429476i −0.231919 0.972735i \(-0.574500\pi\)
0.213102 + 0.977030i \(0.431643\pi\)
\(242\) 3.07041 6.37577i 0.197373 0.409850i
\(243\) 14.8735 4.66681i 0.954135 0.299376i
\(244\) 11.1808i 0.715779i
\(245\) 9.58445 3.79807i 0.612328 0.242650i
\(246\) −4.26724 7.63585i −0.272069 0.486844i
\(247\) 7.46401 9.35958i 0.474924 0.595536i
\(248\) 6.95652 + 3.35008i 0.441739 + 0.212730i
\(249\) 12.1568 + 13.4752i 0.770406 + 0.853959i
\(250\) −5.00410 + 10.3911i −0.316487 + 0.657192i
\(251\) 18.2776 8.80202i 1.15367 0.555579i 0.243536 0.969892i \(-0.421692\pi\)
0.910134 + 0.414313i \(0.135978\pi\)
\(252\) −5.75835 + 5.46273i −0.362742 + 0.344120i
\(253\) 2.83743 + 1.36644i 0.178388 + 0.0859071i
\(254\) −12.6660 + 10.1008i −0.794734 + 0.633779i
\(255\) −2.40475 + 3.42321i −0.150591 + 0.214370i
\(256\) 0.623490 0.781831i 0.0389681 0.0488645i
\(257\) −1.57725 + 6.91038i −0.0983861 + 0.431058i −0.999999 0.00148644i \(-0.999527\pi\)
0.901613 + 0.432544i \(0.142384\pi\)
\(258\) −9.24976 1.52683i −0.575865 0.0950562i
\(259\) −18.6538 + 3.56129i −1.15909 + 0.221287i
\(260\) 4.14849 3.30831i 0.257279 0.205173i
\(261\) −25.7920 2.66039i −1.59649 0.164674i
\(262\) −1.51280 0.345287i −0.0934613 0.0213319i
\(263\) 20.3134i 1.25258i −0.779590 0.626290i \(-0.784572\pi\)
0.779590 0.626290i \(-0.215428\pi\)
\(264\) 2.99486 1.67365i 0.184321 0.103006i
\(265\) −19.1516 4.37123i −1.17647 0.268523i
\(266\) 8.49555 + 2.26140i 0.520896 + 0.138655i
\(267\) −10.7709 11.9391i −0.659171 0.730660i
\(268\) −1.33416 5.84533i −0.0814967 0.357060i
\(269\) −19.1687 24.0368i −1.16874 1.46555i −0.856949 0.515401i \(-0.827643\pi\)
−0.311789 0.950151i \(-0.600928\pi\)
\(270\) −4.51620 6.17821i −0.274847 0.375994i
\(271\) −17.7061 + 4.04130i −1.07557 + 0.245491i −0.723388 0.690441i \(-0.757416\pi\)
−0.352179 + 0.935933i \(0.614559\pi\)
\(272\) 0.364924 + 1.59884i 0.0221268 + 0.0969437i
\(273\) −3.26943 + 16.1830i −0.197875 + 0.979437i
\(274\) −1.80821 + 7.92228i −0.109238 + 0.478603i
\(275\) 5.60730i 0.338133i
\(276\) −1.34343 2.40395i −0.0808651 0.144701i
\(277\) −2.97133 + 13.0182i −0.178530 + 0.782191i 0.803780 + 0.594927i \(0.202819\pi\)
−0.982310 + 0.187264i \(0.940038\pi\)
\(278\) 1.15868 0.557993i 0.0694932 0.0334662i
\(279\) −2.81009 22.9924i −0.168236 1.37652i
\(280\) 3.44808 + 1.81511i 0.206062 + 0.108474i
\(281\) −16.6635 13.2887i −0.994061 0.792737i −0.0157494 0.999876i \(-0.505013\pi\)
−0.978312 + 0.207139i \(0.933585\pi\)
\(282\) −7.64824 + 2.24247i −0.455446 + 0.133537i
\(283\) −10.1699 8.11023i −0.604539 0.482103i 0.272738 0.962088i \(-0.412071\pi\)
−0.877277 + 0.479985i \(0.840642\pi\)
\(284\) −3.74208 7.77051i −0.222052 0.461095i
\(285\) −3.20687 + 7.84634i −0.189959 + 0.464777i
\(286\) 3.09629 6.42951i 0.183088 0.380185i
\(287\) 0.477640 13.3532i 0.0281942 0.788215i
\(288\) −2.98417 0.307810i −0.175844 0.0181379i
\(289\) 12.8934 + 6.20912i 0.758433 + 0.365242i
\(290\) 2.83254 + 12.4102i 0.166332 + 0.728750i
\(291\) 0.804507 + 13.2140i 0.0471611 + 0.774621i
\(292\) 5.11254 + 4.07712i 0.299189 + 0.238595i
\(293\) 20.1083 1.17474 0.587369 0.809320i \(-0.300164\pi\)
0.587369 + 0.809320i \(0.300164\pi\)
\(294\) −11.8486 + 2.57128i −0.691022 + 0.149960i
\(295\) −6.23026 −0.362740
\(296\) −5.61183 4.47528i −0.326181 0.260121i
\(297\) −9.07753 4.85089i −0.526732 0.281477i
\(298\) 4.91428 + 21.5309i 0.284677 + 1.24725i
\(299\) −5.16093 2.48537i −0.298464 0.143733i
\(300\) 2.81850 4.01219i 0.162726 0.231644i
\(301\) −10.8698 9.32316i −0.626527 0.537378i
\(302\) −4.77831 + 9.92226i −0.274961 + 0.570962i
\(303\) 17.0691 + 6.97630i 0.980596 + 0.400778i
\(304\) 1.44172 + 2.99376i 0.0826884 + 0.171704i
\(305\) −12.8745 10.2670i −0.737190 0.587889i
\(306\) 3.44596 3.51147i 0.196992 0.200737i
\(307\) 2.75322 + 2.19562i 0.157135 + 0.125311i 0.698901 0.715218i \(-0.253673\pi\)
−0.541766 + 0.840529i \(0.682244\pi\)
\(308\) 5.23726 + 0.187335i 0.298421 + 0.0106744i
\(309\) 8.46948 20.7225i 0.481812 1.17886i
\(310\) −10.2455 + 4.93398i −0.581907 + 0.280231i
\(311\) −3.47447 + 15.2226i −0.197019 + 0.863197i 0.775680 + 0.631126i \(0.217407\pi\)
−0.972699 + 0.232070i \(0.925450\pi\)
\(312\) −5.44726 + 3.04416i −0.308391 + 0.172342i
\(313\) 28.8461i 1.63048i −0.579124 0.815239i \(-0.696605\pi\)
0.579124 0.815239i \(-0.303395\pi\)
\(314\) −2.53640 + 11.1127i −0.143137 + 0.627125i
\(315\) −1.00248 11.6469i −0.0564832 0.656227i
\(316\) −1.72134 7.54169i −0.0968330 0.424253i
\(317\) 5.65132 1.28988i 0.317410 0.0724467i −0.0608478 0.998147i \(-0.519380\pi\)
0.378258 + 0.925700i \(0.376523\pi\)
\(318\) 21.3849 + 8.74021i 1.19921 + 0.490127i
\(319\) 10.6739 + 13.3847i 0.597626 + 0.749400i
\(320\) 0.327728 + 1.43587i 0.0183205 + 0.0802675i
\(321\) 0.761370 0.686876i 0.0424955 0.0383377i
\(322\) 0.150373 4.20392i 0.00837995 0.234275i
\(323\) −5.31266 1.21258i −0.295604 0.0674697i
\(324\) 4.05695 + 8.03375i 0.225386 + 0.446320i
\(325\) 10.1990i 0.565737i
\(326\) −13.6120 3.10685i −0.753899 0.172072i
\(327\) 12.2307 17.4107i 0.676362 0.962815i
\(328\) 3.94846 3.14879i 0.218017 0.173863i
\(329\) −11.7650 3.13169i −0.648627 0.172656i
\(330\) −0.822922 + 4.98538i −0.0453004 + 0.274436i
\(331\) −4.47172 + 19.5919i −0.245788 + 1.07687i 0.689863 + 0.723940i \(0.257671\pi\)
−0.935651 + 0.352927i \(0.885186\pi\)
\(332\) −6.53297 + 8.19209i −0.358543 + 0.449599i
\(333\) −2.20940 + 21.4198i −0.121074 + 1.17380i
\(334\) −13.6421 + 10.8792i −0.746461 + 0.595283i
\(335\) 7.95588 + 3.83135i 0.434676 + 0.209329i
\(336\) −3.65325 2.76654i −0.199301 0.150927i
\(337\) 24.0398 11.5770i 1.30953 0.630638i 0.356725 0.934209i \(-0.383893\pi\)
0.952809 + 0.303571i \(0.0981790\pi\)
\(338\) 0.00873262 0.0181335i 0.000474992 0.000986330i
\(339\) 0.803687 0.725053i 0.0436503 0.0393795i
\(340\) −2.17612 1.04797i −0.118017 0.0568339i
\(341\) −9.53553 + 11.9572i −0.516378 + 0.647517i
\(342\) 5.22385 8.49012i 0.282473 0.459093i
\(343\) −17.5109 6.03049i −0.945502 0.325616i
\(344\) 5.41261i 0.291829i
\(345\) 4.00173 + 0.660554i 0.215446 + 0.0355630i
\(346\) −8.25372 + 17.1390i −0.443723 + 0.921400i
\(347\) −9.98529 + 2.27908i −0.536039 + 0.122347i −0.481966 0.876190i \(-0.660077\pi\)
−0.0540722 + 0.998537i \(0.517220\pi\)
\(348\) −0.909733 14.9424i −0.0487668 0.800996i
\(349\) −10.8458 22.5216i −0.580565 1.20556i −0.959912 0.280301i \(-0.909566\pi\)
0.379347 0.925254i \(-0.376149\pi\)
\(350\) 6.85993 3.00640i 0.366678 0.160699i
\(351\) 16.5109 + 8.82315i 0.881285 + 0.470945i
\(352\) 1.23499 + 1.54863i 0.0658250 + 0.0825420i
\(353\) −9.49413 + 4.57213i −0.505322 + 0.243350i −0.669134 0.743141i \(-0.733335\pi\)
0.163813 + 0.986491i \(0.447621\pi\)
\(354\) 7.22915 + 1.19329i 0.384225 + 0.0634228i
\(355\) 12.3838 + 2.82652i 0.657264 + 0.150016i
\(356\) 5.78822 7.25820i 0.306775 0.384684i
\(357\) 7.28260 1.85531i 0.385436 0.0981933i
\(358\) −4.28481 5.37298i −0.226459 0.283971i
\(359\) −0.0833725 0.173125i −0.00440023 0.00913718i 0.898757 0.438447i \(-0.144471\pi\)
−0.903157 + 0.429310i \(0.858757\pi\)
\(360\) 3.09471 3.15355i 0.163106 0.166207i
\(361\) 7.95881 0.418885
\(362\) 1.49307 0.0784740
\(363\) −3.44858 11.7618i −0.181003 0.617336i
\(364\) −9.52591 0.340739i −0.499293 0.0178596i
\(365\) −9.38942 + 2.14307i −0.491464 + 0.112174i
\(366\) 12.9721 + 14.3790i 0.678065 + 0.751603i
\(367\) 5.18683 4.13636i 0.270750 0.215916i −0.478697 0.877980i \(-0.658891\pi\)
0.749447 + 0.662064i \(0.230319\pi\)
\(368\) 1.24307 0.991316i 0.0647996 0.0516759i
\(369\) −14.3471 4.86912i −0.746878 0.253476i
\(370\) 10.3064 2.35236i 0.535803 0.122294i
\(371\) 21.0020 + 28.3590i 1.09037 + 1.47232i
\(372\) 12.8332 3.76270i 0.665370 0.195087i
\(373\) 27.1844 1.40755 0.703777 0.710421i \(-0.251495\pi\)
0.703777 + 0.710421i \(0.251495\pi\)
\(374\) −3.24836 −0.167969
\(375\) 5.62043 + 19.1692i 0.290238 + 0.989895i
\(376\) −1.99656 4.14590i −0.102965 0.213809i
\(377\) −19.4145 24.3451i −0.999900 1.25383i
\(378\) −1.06755 + 13.7062i −0.0549087 + 0.704972i
\(379\) 20.9064 26.2158i 1.07389 1.34661i 0.139555 0.990214i \(-0.455433\pi\)
0.934334 0.356400i \(-0.115996\pi\)
\(380\) −4.77114 1.08898i −0.244755 0.0558636i
\(381\) −4.56992 + 27.6853i −0.234124 + 1.41836i
\(382\) −10.3874 + 5.00229i −0.531464 + 0.255939i
\(383\) −20.8610 26.1589i −1.06595 1.33666i −0.938681 0.344787i \(-0.887951\pi\)
−0.127266 0.991869i \(-0.540620\pi\)
\(384\) −0.105257 1.72885i −0.00537138 0.0882250i
\(385\) −5.02495 + 5.85857i −0.256095 + 0.298580i
\(386\) −7.78296 16.1615i −0.396142 0.822597i
\(387\) −13.6670 + 8.76812i −0.694734 + 0.445709i
\(388\) −7.45163 + 1.70079i −0.378299 + 0.0863443i
\(389\) −8.84279 + 18.3622i −0.448347 + 0.931003i 0.547223 + 0.836987i \(0.315685\pi\)
−0.995571 + 0.0940161i \(0.970029\pi\)
\(390\) 1.49679 9.06777i 0.0757929 0.459164i
\(391\) 2.60744i 0.131864i
\(392\) −2.57882 6.50766i −0.130250 0.328687i
\(393\) −2.34614 + 1.31112i −0.118347 + 0.0661372i
\(394\) 10.0561 12.6099i 0.506617 0.635278i
\(395\) 10.2647 + 4.94324i 0.516475 + 0.248721i
\(396\) 1.90972 5.62707i 0.0959670 0.282771i
\(397\) −13.2439 + 27.5013i −0.664694 + 1.38025i 0.246852 + 0.969053i \(0.420604\pi\)
−0.911546 + 0.411198i \(0.865110\pi\)
\(398\) 5.41486 2.60766i 0.271423 0.130710i
\(399\) 13.5493 6.94840i 0.678316 0.347855i
\(400\) 2.55053 + 1.22827i 0.127527 + 0.0614136i
\(401\) −4.76358 + 3.79883i −0.237882 + 0.189704i −0.735174 0.677879i \(-0.762899\pi\)
0.497292 + 0.867583i \(0.334328\pi\)
\(402\) −8.49761 5.96943i −0.423822 0.297728i
\(403\) 17.3439 21.7486i 0.863961 1.08337i
\(404\) −2.36900 + 10.3793i −0.117862 + 0.516388i
\(405\) −12.9761 2.70569i −0.644786 0.134447i
\(406\) 10.6518 20.2347i 0.528641 1.00423i
\(407\) 11.1157 8.86449i 0.550986 0.439396i
\(408\) 2.32430 + 1.63278i 0.115070 + 0.0808347i
\(409\) 28.8491 + 6.58462i 1.42650 + 0.325588i 0.864950 0.501857i \(-0.167350\pi\)
0.561546 + 0.827446i \(0.310207\pi\)
\(410\) 7.43800i 0.367337i
\(411\) 6.86611 + 12.2863i 0.338680 + 0.606039i
\(412\) 12.6008 + 2.87605i 0.620797 + 0.141693i
\(413\) 8.49533 + 7.28652i 0.418028 + 0.358546i
\(414\) −4.51681 1.53292i −0.221989 0.0753389i
\(415\) −3.43395 15.0451i −0.168566 0.738537i
\(416\) −2.24628 2.81675i −0.110133 0.138103i
\(417\) 0.842726 2.06192i 0.0412685 0.100973i
\(418\) −6.41673 + 1.46458i −0.313852 + 0.0716347i
\(419\) −0.0633625 0.277609i −0.00309546 0.0135621i 0.973357 0.229297i \(-0.0736426\pi\)
−0.976452 + 0.215734i \(0.930785\pi\)
\(420\) 6.54029 1.66620i 0.319133 0.0813021i
\(421\) −6.94826 + 30.4423i −0.338638 + 1.48367i 0.463269 + 0.886218i \(0.346677\pi\)
−0.801906 + 0.597450i \(0.796181\pi\)
\(422\) 1.55471i 0.0756822i
\(423\) −7.23422 + 11.7575i −0.351740 + 0.571669i
\(424\) −2.96798 + 13.0036i −0.144138 + 0.631510i
\(425\) −4.18275 + 2.01431i −0.202893 + 0.0977083i
\(426\) −13.8279 5.65159i −0.669965 0.273820i
\(427\) 5.54740 + 29.0569i 0.268457 + 1.40616i
\(428\) 0.462864 + 0.369122i 0.0223734 + 0.0178422i
\(429\) −3.47765 11.8610i −0.167902 0.572654i
\(430\) 6.23250 + 4.97025i 0.300558 + 0.239687i
\(431\) −10.1735 21.1254i −0.490038 1.01757i −0.988578 0.150708i \(-0.951845\pi\)
0.498540 0.866866i \(-0.333870\pi\)
\(432\) −4.19489 + 3.06641i −0.201827 + 0.147533i
\(433\) 7.20508 14.9615i 0.346254 0.719004i −0.653011 0.757349i \(-0.726494\pi\)
0.999265 + 0.0383451i \(0.0122086\pi\)
\(434\) 19.7408 + 5.25474i 0.947591 + 0.252236i
\(435\) 18.0412 + 12.6736i 0.865009 + 0.607655i
\(436\) 11.0679 + 5.33003i 0.530057 + 0.255262i
\(437\) 1.17561 + 5.15066i 0.0562368 + 0.246390i
\(438\) 11.3053 0.688296i 0.540187 0.0328881i
\(439\) −5.49252 4.38014i −0.262144 0.209053i 0.483594 0.875293i \(-0.339331\pi\)
−0.745737 + 0.666240i \(0.767903\pi\)
\(440\) −2.91726 −0.139075
\(441\) −12.2545 + 17.0536i −0.583549 + 0.812078i
\(442\) 5.90836 0.281032
\(443\) 3.77559 + 3.01093i 0.179384 + 0.143054i 0.709065 0.705143i \(-0.249117\pi\)
−0.529682 + 0.848197i \(0.677689\pi\)
\(444\) −12.4093 + 0.755514i −0.588921 + 0.0358551i
\(445\) 3.04249 + 13.3300i 0.144228 + 0.631903i
\(446\) −15.8023 7.61000i −0.748262 0.360344i
\(447\) 31.3004 + 21.9880i 1.48046 + 1.04000i
\(448\) 1.23243 2.34118i 0.0582267 0.110610i
\(449\) −14.3939 + 29.8892i −0.679288 + 1.41056i 0.221005 + 0.975273i \(0.429066\pi\)
−0.900293 + 0.435284i \(0.856648\pi\)
\(450\) −1.03029 8.42990i −0.0485683 0.397389i
\(451\) 4.34031 + 9.01274i 0.204377 + 0.424393i
\(452\) 0.488590 + 0.389638i 0.0229814 + 0.0183270i
\(453\) 5.36683 + 18.3043i 0.252156 + 0.860011i
\(454\) −6.04063 4.81724i −0.283501 0.226084i
\(455\) 9.13974 10.6560i 0.428477 0.499560i
\(456\) 5.32752 + 2.17740i 0.249484 + 0.101966i
\(457\) 31.0767 14.9658i 1.45371 0.700069i 0.470473 0.882414i \(-0.344083\pi\)
0.983234 + 0.182346i \(0.0583691\pi\)
\(458\) 5.79705 25.3985i 0.270878 1.18680i
\(459\) 0.357595 8.51394i 0.0166911 0.397397i
\(460\) 2.34167i 0.109181i
\(461\) −2.25103 + 9.86243i −0.104841 + 0.459339i 0.895069 + 0.445928i \(0.147126\pi\)
−0.999910 + 0.0134112i \(0.995731\pi\)
\(462\) 6.95269 5.83542i 0.323469 0.271488i
\(463\) −4.37095 19.1504i −0.203135 0.889993i −0.969013 0.247008i \(-0.920553\pi\)
0.765878 0.642986i \(-0.222304\pi\)
\(464\) 8.42627 1.92324i 0.391180 0.0892842i
\(465\) −7.45170 + 18.2323i −0.345564 + 0.845503i
\(466\) 9.90434 + 12.4197i 0.458810 + 0.575329i
\(467\) −5.74667 25.1778i −0.265924 1.16509i −0.914708 0.404116i \(-0.867579\pi\)
0.648783 0.760973i \(-0.275278\pi\)
\(468\) −3.47353 + 10.2349i −0.160564 + 0.473109i
\(469\) −6.36740 14.5290i −0.294019 0.670885i
\(470\) 6.60730 + 1.50807i 0.304772 + 0.0695622i
\(471\) 9.63117 + 17.2342i 0.443781 + 0.794108i
\(472\) 4.23023i 0.194712i
\(473\) 10.4523 + 2.38567i 0.480598 + 0.109693i
\(474\) −10.9637 7.70180i −0.503579 0.353756i
\(475\) −7.35431 + 5.86487i −0.337439 + 0.269099i
\(476\) 1.74164 + 3.97402i 0.0798278 + 0.182149i
\(477\) 37.6424 13.5708i 1.72353 0.621365i
\(478\) −5.33746 + 23.3849i −0.244130 + 1.06960i
\(479\) 7.91703 9.92765i 0.361738 0.453606i −0.567343 0.823482i \(-0.692028\pi\)
0.929081 + 0.369876i \(0.120600\pi\)
\(480\) 2.08739 + 1.46635i 0.0952757 + 0.0669296i
\(481\) −20.2181 + 16.1234i −0.921865 + 0.735162i
\(482\) −0.269952 0.130002i −0.0122960 0.00592143i
\(483\) −4.68406 5.58088i −0.213132 0.253939i
\(484\) 6.37577 3.07041i 0.289808 0.139564i
\(485\) 4.88421 10.1422i 0.221780 0.460532i
\(486\) 14.5383 + 5.62482i 0.659470 + 0.255147i
\(487\) −11.5926 5.58270i −0.525311 0.252976i 0.152382 0.988322i \(-0.451306\pi\)
−0.677692 + 0.735345i \(0.737020\pi\)
\(488\) −6.97113 + 8.74152i −0.315568 + 0.395710i
\(489\) −21.1102 + 11.7973i −0.954637 + 0.533492i
\(490\) 9.86148 + 3.00636i 0.445496 + 0.135813i
\(491\) 15.2551i 0.688455i 0.938886 + 0.344227i \(0.111859\pi\)
−0.938886 + 0.344227i \(0.888141\pi\)
\(492\) 1.42461 8.63053i 0.0642266 0.389094i
\(493\) −6.14989 + 12.7704i −0.276977 + 0.575149i
\(494\) 11.6712 2.66388i 0.525112 0.119853i
\(495\) 4.72580 + 7.36618i 0.212409 + 0.331085i
\(496\) 3.35008 + 6.95652i 0.150423 + 0.312357i
\(497\) −13.5803 18.3375i −0.609161 0.822547i
\(498\) 1.10289 + 18.1150i 0.0494218 + 0.811753i
\(499\) 16.3258 + 20.4718i 0.730841 + 0.916446i 0.998897 0.0469576i \(-0.0149526\pi\)
−0.268056 + 0.963403i \(0.586381\pi\)
\(500\) −10.3911 + 5.00410i −0.464705 + 0.223790i
\(501\) −4.92210 + 29.8188i −0.219903 + 1.33221i
\(502\) 19.7780 + 4.51419i 0.882733 + 0.201478i
\(503\) 15.0541 18.8772i 0.671227 0.841692i −0.323286 0.946301i \(-0.604788\pi\)
0.994513 + 0.104609i \(0.0333592\pi\)
\(504\) −7.90801 + 0.680663i −0.352251 + 0.0303191i
\(505\) −9.77610 12.2588i −0.435031 0.545511i
\(506\) 1.36644 + 2.83743i 0.0607455 + 0.126139i
\(507\) −0.00980817 0.0334521i −0.000435596 0.00148566i
\(508\) −16.2004 −0.718776
\(509\) 4.81385 0.213370 0.106685 0.994293i \(-0.465976\pi\)
0.106685 + 0.994293i \(0.465976\pi\)
\(510\) −4.01445 + 1.17704i −0.177763 + 0.0521202i
\(511\) 15.3094 + 8.05907i 0.677249 + 0.356512i
\(512\) 0.974928 0.222521i 0.0430861 0.00983413i
\(513\) −3.13226 16.9794i −0.138293 0.749660i
\(514\) −5.54169 + 4.41935i −0.244434 + 0.194929i
\(515\) −14.8827 + 11.8685i −0.655809 + 0.522990i
\(516\) −6.27979 6.96085i −0.276452 0.306434i
\(517\) 8.88617 2.02821i 0.390814 0.0892006i
\(518\) −16.8045 8.84611i −0.738348 0.388676i
\(519\) 9.27029 + 31.6176i 0.406921 + 1.38786i
\(520\) 5.30612 0.232689
\(521\) 42.7580 1.87326 0.936632 0.350316i \(-0.113926\pi\)
0.936632 + 0.350316i \(0.113926\pi\)
\(522\) −18.5063 18.1611i −0.809999 0.794888i
\(523\) −0.276694 0.574561i −0.0120990 0.0251238i 0.894832 0.446403i \(-0.147295\pi\)
−0.906931 + 0.421280i \(0.861581\pi\)
\(524\) −0.967474 1.21317i −0.0422643 0.0529977i
\(525\) 5.33409 11.8253i 0.232799 0.516100i
\(526\) 12.6652 15.8817i 0.552230 0.692475i
\(527\) −12.3449 2.81763i −0.537751 0.122738i
\(528\) 3.38498 + 0.558749i 0.147312 + 0.0243164i
\(529\) −18.4447 + 8.88250i −0.801943 + 0.386195i
\(530\) −12.2479 15.3584i −0.532016 0.667126i
\(531\) 10.6815 6.85273i 0.463536 0.297383i
\(532\) 5.23213 + 7.06492i 0.226842 + 0.306303i
\(533\) −7.89446 16.3930i −0.341947 0.710061i
\(534\) −0.977163 16.0499i −0.0422860 0.694548i
\(535\) −0.850071 + 0.194023i −0.0367518 + 0.00838835i
\(536\) 2.60142 5.40189i 0.112364 0.233326i
\(537\) −11.7443 1.93859i −0.506802 0.0836563i
\(538\) 30.7443i 1.32548i
\(539\) 13.7036 2.11163i 0.590257 0.0909545i
\(540\) 0.321146 7.64612i 0.0138199 0.329037i
\(541\) −0.912718 + 1.14451i −0.0392408 + 0.0492064i −0.801065 0.598578i \(-0.795733\pi\)
0.761824 + 0.647784i \(0.224304\pi\)
\(542\) −16.3629 7.87995i −0.702846 0.338473i
\(543\) 1.92015 1.73228i 0.0824015 0.0743392i
\(544\) −0.711549 + 1.47755i −0.0305074 + 0.0633493i
\(545\) −16.3008 + 7.85004i −0.698248 + 0.336259i
\(546\) −12.6461 + 10.6139i −0.541201 + 0.454232i
\(547\) 13.0829 + 6.30038i 0.559383 + 0.269385i 0.692139 0.721764i \(-0.256668\pi\)
−0.132756 + 0.991149i \(0.542383\pi\)
\(548\) −6.35318 + 5.06649i −0.271394 + 0.216430i
\(549\) 33.3655 + 3.44157i 1.42400 + 0.146882i
\(550\) −3.49610 + 4.38397i −0.149074 + 0.186933i
\(551\) −6.39060 + 27.9990i −0.272249 + 1.19280i
\(552\) 0.448504 2.71710i 0.0190896 0.115648i
\(553\) −8.21527 18.7454i −0.349349 0.797135i
\(554\) −10.4398 + 8.32548i −0.443546 + 0.353716i
\(555\) 10.5252 14.9828i 0.446770 0.635986i
\(556\) 1.25380 + 0.286171i 0.0531729 + 0.0121364i
\(557\) 3.96586i 0.168039i 0.996464 + 0.0840194i \(0.0267758\pi\)
−0.996464 + 0.0840194i \(0.973224\pi\)
\(558\) 12.1385 19.7282i 0.513863 0.835162i
\(559\) −19.0114 4.33924i −0.804098 0.183530i
\(560\) 1.56411 + 3.56895i 0.0660958 + 0.150816i
\(561\) −4.17753 + 3.76879i −0.176376 + 0.159119i
\(562\) −4.74268 20.7790i −0.200058 0.876511i
\(563\) −7.40300 9.28307i −0.311999 0.391235i 0.600964 0.799276i \(-0.294783\pi\)
−0.912963 + 0.408041i \(0.866212\pi\)
\(564\) −7.37779 3.01537i −0.310661 0.126970i
\(565\) −0.897318 + 0.204807i −0.0377505 + 0.00861629i
\(566\) −2.89451 12.6817i −0.121665 0.533051i
\(567\) 14.5292 + 18.8654i 0.610170 + 0.792270i
\(568\) 1.91916 8.40837i 0.0805260 0.352808i
\(569\) 19.5090i 0.817860i 0.912566 + 0.408930i \(0.134098\pi\)
−0.912566 + 0.408930i \(0.865902\pi\)
\(570\) −7.39935 + 4.13507i −0.309924 + 0.173199i
\(571\) 4.36755 19.1355i 0.182776 0.800796i −0.797524 0.603287i \(-0.793858\pi\)
0.980301 0.197510i \(-0.0632853\pi\)
\(572\) 6.42951 3.09629i 0.268831 0.129462i
\(573\) −7.55486 + 18.4847i −0.315609 + 0.772210i
\(574\) 8.69902 10.1422i 0.363090 0.423325i
\(575\) 3.51898 + 2.80629i 0.146752 + 0.117031i
\(576\) −2.14120 2.10125i −0.0892166 0.0875522i
\(577\) 5.80128 + 4.62636i 0.241510 + 0.192598i 0.736763 0.676151i \(-0.236353\pi\)
−0.495253 + 0.868749i \(0.664925\pi\)
\(578\) 6.20912 + 12.8934i 0.258265 + 0.536293i
\(579\) −28.7600 11.7544i −1.19522 0.488498i
\(580\) −5.52304 + 11.4687i −0.229332 + 0.476212i
\(581\) −12.9135 + 24.5311i −0.535740 + 1.01772i
\(582\) −7.60983 + 10.8328i −0.315438 + 0.449032i
\(583\) −23.8031 11.4630i −0.985824 0.474748i
\(584\) 1.45511 + 6.37524i 0.0602127 + 0.263809i
\(585\) −8.59562 13.3981i −0.355385 0.553945i
\(586\) 15.7213 + 12.5373i 0.649440 + 0.517911i
\(587\) 37.2173 1.53612 0.768062 0.640376i \(-0.221221\pi\)
0.768062 + 0.640376i \(0.221221\pi\)
\(588\) −10.8667 5.37715i −0.448137 0.221750i
\(589\) −25.6561 −1.05714
\(590\) −4.87101 3.88450i −0.200536 0.159922i
\(591\) −1.69766 27.8840i −0.0698323 1.14700i
\(592\) −1.59721 6.99784i −0.0656449 0.287609i
\(593\) −22.9742 11.0638i −0.943439 0.454336i −0.102058 0.994778i \(-0.532543\pi\)
−0.841381 + 0.540442i \(0.818257\pi\)
\(594\) −4.07262 9.45233i −0.167102 0.387834i
\(595\) −6.17529 1.64378i −0.253162 0.0673883i
\(596\) −9.58214 + 19.8975i −0.392500 + 0.815034i
\(597\) 3.93830 9.63596i 0.161184 0.394374i
\(598\) −2.48537 5.16093i −0.101634 0.211046i
\(599\) −17.3102 13.8044i −0.707274 0.564032i 0.202426 0.979298i \(-0.435117\pi\)
−0.909700 + 0.415265i \(0.863689\pi\)
\(600\) 4.70515 1.37955i 0.192087 0.0563200i
\(601\) −26.0877 20.8043i −1.06414 0.848624i −0.0752342 0.997166i \(-0.523970\pi\)
−0.988906 + 0.148542i \(0.952542\pi\)
\(602\) −2.68548 14.0664i −0.109452 0.573303i
\(603\) −17.8541 + 2.18210i −0.727075 + 0.0888620i
\(604\) −9.92226 + 4.77831i −0.403731 + 0.194427i
\(605\) −2.31919 + 10.1610i −0.0942883 + 0.413104i
\(606\) 8.99553 + 16.0967i 0.365418 + 0.653885i
\(607\) 41.6265i 1.68957i −0.535109 0.844783i \(-0.679729\pi\)
0.535109 0.844783i \(-0.320271\pi\)
\(608\) −0.739399 + 3.23952i −0.0299866 + 0.131380i
\(609\) −9.77793 38.3811i −0.396222 1.55528i
\(610\) −3.66427 16.0542i −0.148362 0.650015i
\(611\) −16.1628 + 3.68906i −0.653877 + 0.149243i
\(612\) 4.88352 0.596857i 0.197405 0.0241265i
\(613\) −10.0676 12.6244i −0.406628 0.509895i 0.535782 0.844357i \(-0.320017\pi\)
−0.942409 + 0.334461i \(0.891446\pi\)
\(614\) 0.783608 + 3.43321i 0.0316239 + 0.138553i
\(615\) 8.62967 + 9.56558i 0.347982 + 0.385722i
\(616\) 3.97786 + 3.41185i 0.160272 + 0.137467i
\(617\) −24.1397 5.50972i −0.971826 0.221813i −0.293000 0.956112i \(-0.594654\pi\)
−0.678826 + 0.734299i \(0.737511\pi\)
\(618\) 19.5420 10.9209i 0.786094 0.439303i
\(619\) 38.4042i 1.54359i 0.635868 + 0.771797i \(0.280642\pi\)
−0.635868 + 0.771797i \(0.719358\pi\)
\(620\) −11.0866 2.53044i −0.445247 0.101625i
\(621\) −7.58732 + 3.26906i −0.304469 + 0.131183i
\(622\) −12.2076 + 9.73524i −0.489481 + 0.390348i
\(623\) 11.4413 21.7345i 0.458387 0.870776i
\(624\) −6.15685 1.01629i −0.246471 0.0406842i
\(625\) 0.630126 2.76076i 0.0252050 0.110430i
\(626\) 17.9853 22.5528i 0.718835 0.901391i
\(627\) −6.55296 + 9.32828i −0.261700 + 0.372536i
\(628\) −8.91168 + 7.10683i −0.355615 + 0.283593i
\(629\) 10.6055 + 5.10736i 0.422870 + 0.203644i
\(630\) 6.47794 9.73093i 0.258087 0.387690i
\(631\) −24.2383 + 11.6725i −0.964910 + 0.464676i −0.848889 0.528571i \(-0.822728\pi\)
−0.116021 + 0.993247i \(0.537014\pi\)
\(632\) 3.35637 6.96957i 0.133509 0.277234i
\(633\) 1.80380 + 1.99943i 0.0716945 + 0.0794700i
\(634\) 5.22261 + 2.51508i 0.207416 + 0.0998864i
\(635\) 14.8764 18.6544i 0.590351 0.740276i
\(636\) 11.2700 + 20.1667i 0.446884 + 0.799660i
\(637\) −24.9251 + 3.84079i −0.987570 + 0.152178i
\(638\) 17.1197i 0.677775i
\(639\) −24.3403 + 8.77515i −0.962889 + 0.347140i
\(640\) −0.639022 + 1.32694i −0.0252595 + 0.0524520i
\(641\) −15.5718 + 3.55415i −0.615048 + 0.140381i −0.518685 0.854966i \(-0.673578\pi\)
−0.0963630 + 0.995346i \(0.530721\pi\)
\(642\) 1.02352 0.0623149i 0.0403952 0.00245937i
\(643\) 5.40512 + 11.2238i 0.213157 + 0.442625i 0.979943 0.199278i \(-0.0638596\pi\)
−0.766786 + 0.641903i \(0.778145\pi\)
\(644\) 2.73867 3.19300i 0.107919 0.125822i
\(645\) 13.7818 0.839075i 0.542659 0.0330385i
\(646\) −3.39757 4.26042i −0.133676 0.167624i
\(647\) −25.4627 + 12.2622i −1.00104 + 0.482076i −0.861291 0.508111i \(-0.830344\pi\)
−0.139749 + 0.990187i \(0.544630\pi\)
\(648\) −1.83711 + 8.81051i −0.0721685 + 0.346109i
\(649\) −8.16901 1.86452i −0.320662 0.0731890i
\(650\) 6.35895 7.97387i 0.249419 0.312761i
\(651\) 31.4842 16.1458i 1.23396 0.632803i
\(652\) −8.70520 10.9160i −0.340922 0.427503i
\(653\) −11.1422 23.1371i −0.436029 0.905423i −0.996986 0.0775784i \(-0.975281\pi\)
0.560958 0.827845i \(-0.310433\pi\)
\(654\) 20.4178 5.98651i 0.798399 0.234091i
\(655\) 2.28535 0.0892958
\(656\) 5.05026 0.197180
\(657\) 13.7405 14.0017i 0.536068 0.546259i
\(658\) −7.24569 9.78383i −0.282466 0.381413i
\(659\) 42.0342 9.59404i 1.63742 0.373731i 0.697893 0.716202i \(-0.254121\pi\)
0.939528 + 0.342471i \(0.111264\pi\)
\(660\) −3.75172 + 3.38465i −0.146036 + 0.131747i
\(661\) −2.96279 + 2.36275i −0.115239 + 0.0919003i −0.679414 0.733755i \(-0.737766\pi\)
0.564175 + 0.825655i \(0.309194\pi\)
\(662\) −15.7115 + 12.5295i −0.610643 + 0.486972i
\(663\) 7.59840 6.85495i 0.295097 0.266224i
\(664\) −10.2154 + 2.33159i −0.396433 + 0.0904833i
\(665\) −12.9396 0.462846i −0.501777 0.0179484i
\(666\) −15.0824 + 15.3691i −0.584430 + 0.595541i
\(667\) 13.7419 0.532087
\(668\) −17.4489 −0.675117
\(669\) −29.1517 + 8.54729i −1.12707 + 0.330457i
\(670\) 3.83135 + 7.95588i 0.148018 + 0.307362i
\(671\) −13.8082 17.3149i −0.533059 0.668435i
\(672\) −1.13132 4.44073i −0.0436415 0.171305i
\(673\) −3.29085 + 4.12659i −0.126853 + 0.159068i −0.841202 0.540721i \(-0.818151\pi\)
0.714349 + 0.699790i \(0.246723\pi\)
\(674\) 26.0132 + 5.93735i 1.00199 + 0.228698i
\(675\) −11.1055 9.64585i −0.427450 0.371269i
\(676\) 0.0181335 0.00873262i 0.000697441 0.000335870i
\(677\) 23.5791 + 29.5673i 0.906220 + 1.13636i 0.990167 + 0.139894i \(0.0446761\pi\)
−0.0839465 + 0.996470i \(0.526752\pi\)
\(678\) 1.08041 0.0657784i 0.0414929 0.00252620i
\(679\) −18.5215 + 8.11717i −0.710792 + 0.311508i
\(680\) −1.04797 2.17612i −0.0401876 0.0834505i
\(681\) −13.3575 + 0.813243i −0.511862 + 0.0311635i
\(682\) −14.9103 + 3.40319i −0.570947 + 0.130315i
\(683\) 5.43653 11.2891i 0.208023 0.431964i −0.770687 0.637214i \(-0.780087\pi\)
0.978710 + 0.205250i \(0.0658008\pi\)
\(684\) 9.37767 3.38083i 0.358564 0.129269i
\(685\) 11.9680i 0.457272i
\(686\) −9.93066 15.6327i −0.379154 0.596860i
\(687\) −22.0125 39.3894i −0.839828 1.50280i
\(688\) 3.37471 4.23175i 0.128660 0.161334i
\(689\) 43.2948 + 20.8497i 1.64940 + 0.794309i
\(690\) 2.71683 + 3.01148i 0.103428 + 0.114645i
\(691\) −15.5152 + 32.2176i −0.590226 + 1.22562i 0.365350 + 0.930870i \(0.380949\pi\)
−0.955576 + 0.294746i \(0.904765\pi\)
\(692\) −17.1390 + 8.25372i −0.651528 + 0.313759i
\(693\) 2.17112 15.5712i 0.0824740 0.591501i
\(694\) −9.22780 4.44387i −0.350282 0.168687i
\(695\) −1.48085 + 1.18094i −0.0561718 + 0.0447955i
\(696\) 8.60516 12.2496i 0.326178 0.464321i
\(697\) −5.16387 + 6.47528i −0.195595 + 0.245269i
\(698\) 5.56238 24.3704i 0.210539 0.922433i
\(699\) 27.1468 + 4.48105i 1.02679 + 0.169489i
\(700\) 7.23777 + 1.92659i 0.273562 + 0.0728184i
\(701\) 28.5995 22.8073i 1.08019 0.861422i 0.0892864 0.996006i \(-0.471541\pi\)
0.990902 + 0.134584i \(0.0429699\pi\)
\(702\) 7.40757 + 17.1926i 0.279581 + 0.648892i
\(703\) 23.2526 + 5.30726i 0.876989 + 0.200167i
\(704\) 1.98077i 0.0746529i
\(705\) 10.2470 5.72643i 0.385922 0.215670i
\(706\) −10.2735 2.34486i −0.386648 0.0882498i
\(707\) −1.00689 + 28.1492i −0.0378679 + 1.05866i
\(708\) 4.90797 + 5.44026i 0.184453 + 0.204457i
\(709\) 4.50433 + 19.7348i 0.169164 + 0.741155i 0.986334 + 0.164759i \(0.0526845\pi\)
−0.817170 + 0.576397i \(0.804458\pi\)
\(710\) 7.91974 + 9.93104i 0.297223 + 0.372705i
\(711\) −23.0355 + 2.81536i −0.863899 + 0.105584i
\(712\) 9.05082 2.06579i 0.339194 0.0774188i
\(713\) 2.73172 + 11.9684i 0.102304 + 0.448222i
\(714\) 6.85053 + 3.09009i 0.256375 + 0.115644i
\(715\) −2.33874 + 10.2467i −0.0874638 + 0.383204i
\(716\) 6.87230i 0.256830i
\(717\) 20.2673 + 36.2666i 0.756896 + 1.35440i
\(718\) 0.0427583 0.187336i 0.00159573 0.00699133i
\(719\) 20.8376 10.0349i 0.777113 0.374238i −0.00290427 0.999996i \(-0.500924\pi\)
0.780017 + 0.625758i \(0.215210\pi\)
\(720\) 4.38575 0.536020i 0.163447 0.0199763i
\(721\) 34.1741 + 1.22240i 1.27271 + 0.0455244i
\(722\) 6.22245 + 4.96224i 0.231576 + 0.184675i
\(723\) −0.497999 + 0.146014i −0.0185208 + 0.00543031i
\(724\) 1.16733 + 0.930913i 0.0433834 + 0.0345971i
\(725\) 10.6159 + 22.0441i 0.394265 + 0.818699i
\(726\) 4.63718 11.3459i 0.172102 0.421087i
\(727\) −3.91958 + 8.13909i −0.145369 + 0.301862i −0.960921 0.276821i \(-0.910719\pi\)
0.815552 + 0.578683i \(0.196433\pi\)
\(728\) −7.23521 6.20571i −0.268155 0.229999i
\(729\) 25.2228 9.63375i 0.934179 0.356806i
\(730\) −8.67712 4.17868i −0.321155 0.154660i
\(731\) 1.97519 + 8.65388i 0.0730551 + 0.320075i
\(732\) 1.17686 + 19.3300i 0.0434981 + 0.714456i
\(733\) 13.9674 + 11.1386i 0.515898 + 0.411415i 0.846527 0.532346i \(-0.178689\pi\)
−0.330629 + 0.943761i \(0.607261\pi\)
\(734\) 6.63420 0.244873
\(735\) 16.1703 7.57512i 0.596451 0.279413i
\(736\) 1.58995 0.0586063
\(737\) 9.28501 + 7.40455i 0.342018 + 0.272750i
\(738\) −8.18114 12.7521i −0.301152 0.469410i
\(739\) −8.86061 38.8209i −0.325943 1.42805i −0.826789 0.562512i \(-0.809835\pi\)
0.500846 0.865536i \(-0.333022\pi\)
\(740\) 9.52452 + 4.58677i 0.350128 + 0.168613i
\(741\) 11.9190 16.9669i 0.437855 0.623296i
\(742\) −1.26147 + 35.2665i −0.0463101 + 1.29467i
\(743\) −6.46787 + 13.4307i −0.237283 + 0.492724i −0.985273 0.170986i \(-0.945305\pi\)
0.747990 + 0.663710i \(0.231019\pi\)
\(744\) 12.3794 + 5.05957i 0.453851 + 0.185493i
\(745\) −14.1125 29.3050i −0.517043 1.07365i
\(746\) 21.2536 + 16.9492i 0.778150 + 0.620554i
\(747\) 22.4356 + 22.0171i 0.820877 + 0.805563i
\(748\) −2.53967 2.02532i −0.0928596 0.0740531i
\(749\) 1.38604 + 0.729628i 0.0506448 + 0.0266600i
\(750\) −7.55760 + 18.4914i −0.275964 + 0.675210i
\(751\) −20.4618 + 9.85389i −0.746662 + 0.359574i −0.768213 0.640194i \(-0.778854\pi\)
0.0215509 + 0.999768i \(0.493140\pi\)
\(752\) 1.02395 4.48623i 0.0373397 0.163596i
\(753\) 30.6727 17.1412i 1.11778 0.624661i
\(754\) 31.1385i 1.13400i
\(755\) 3.60922 15.8130i 0.131353 0.575495i
\(756\) −9.38033 + 10.0503i −0.341159 + 0.365528i
\(757\) −0.545100 2.38824i −0.0198120 0.0868020i 0.964055 0.265701i \(-0.0856035\pi\)
−0.983867 + 0.178899i \(0.942746\pi\)
\(758\) 32.6905 7.46140i 1.18737 0.271010i
\(759\) 5.04932 + 2.06370i 0.183279 + 0.0749077i
\(760\) −3.05126 3.82616i −0.110681 0.138789i
\(761\) 2.12786 + 9.32276i 0.0771348 + 0.337950i 0.998740 0.0501783i \(-0.0159790\pi\)
−0.921605 + 0.388128i \(0.873122\pi\)
\(762\) −20.8344 + 18.7959i −0.754750 + 0.680904i
\(763\) 31.4080 + 8.36037i 1.13704 + 0.302666i
\(764\) −11.2400 2.56547i −0.406651 0.0928153i
\(765\) −3.79714 + 6.17134i −0.137286 + 0.223125i
\(766\) 33.4584i 1.20890i
\(767\) 14.8584 + 3.39133i 0.536505 + 0.122454i
\(768\) 0.995627 1.41730i 0.0359266 0.0511423i
\(769\) 17.8134 14.2058i 0.642369 0.512272i −0.247264 0.968948i \(-0.579531\pi\)
0.889633 + 0.456676i \(0.150960\pi\)
\(770\) −7.58142 + 1.44741i −0.273215 + 0.0521609i
\(771\) −1.99946 + 12.1130i −0.0720088 + 0.436240i
\(772\) 3.99155 17.4881i 0.143659 0.629412i
\(773\) 5.03713 6.31636i 0.181173 0.227184i −0.682949 0.730466i \(-0.739303\pi\)
0.864122 + 0.503282i \(0.167874\pi\)
\(774\) −16.1521 1.66606i −0.580577 0.0598851i
\(775\) −17.0890 + 13.6280i −0.613854 + 0.489533i
\(776\) −6.88634 3.31629i −0.247205 0.119048i
\(777\) −31.8747 + 8.12037i −1.14350 + 0.291317i
\(778\) −18.3622 + 8.84279i −0.658318 + 0.317029i
\(779\) −7.28107 + 15.1193i −0.260871 + 0.541705i
\(780\) 6.82390 6.15624i 0.244335 0.220429i
\(781\) 15.3916 + 7.41218i 0.550753 + 0.265229i
\(782\) −1.62571 + 2.03858i −0.0581354 + 0.0728994i
\(783\) −44.8706 1.88461i −1.60354 0.0673506i
\(784\) 2.04126 6.69576i 0.0729022 0.239134i
\(785\) 16.7876i 0.599175i
\(786\) −2.65175 0.437717i −0.0945849 0.0156128i
\(787\) −6.67729 + 13.8655i −0.238020 + 0.494253i −0.985424 0.170117i \(-0.945586\pi\)
0.747404 + 0.664370i \(0.231300\pi\)
\(788\) 15.7243 3.58897i 0.560155 0.127852i
\(789\) −2.13813 35.1189i −0.0761196 1.25027i
\(790\) 4.94324 + 10.2647i 0.175872 + 0.365203i
\(791\) 1.46308 + 0.770180i 0.0520210 + 0.0273845i
\(792\) 5.00150 3.20873i 0.177720 0.114017i
\(793\) 25.1153 + 31.4936i 0.891871 + 1.11837i
\(794\) −27.5013 + 13.2439i −0.975985 + 0.470010i
\(795\) −33.5704 5.54136i −1.19062 0.196532i
\(796\) 5.85936 + 1.33736i 0.207680 + 0.0474015i
\(797\) −12.0683 + 15.1332i −0.427483 + 0.536046i −0.948196 0.317685i \(-0.897095\pi\)
0.520714 + 0.853731i \(0.325666\pi\)
\(798\) 14.9256 + 3.01540i 0.528359 + 0.106744i
\(799\) 4.70511 + 5.90002i 0.166455 + 0.208728i
\(800\) 1.22827 + 2.55053i 0.0434259 + 0.0901749i
\(801\) −19.8780 19.5072i −0.702355 0.689251i
\(802\) −6.09285 −0.215146
\(803\) −12.9526 −0.457087
\(804\) −2.92182 9.96526i −0.103045 0.351448i
\(805\) 1.16182 + 6.08556i 0.0409489 + 0.214488i
\(806\) 27.1200 6.18997i 0.955262 0.218032i
\(807\) −35.6699 39.5384i −1.25564 1.39182i
\(808\) −8.32353 + 6.63779i −0.292821 + 0.233517i
\(809\) 18.8643 15.0437i 0.663232 0.528910i −0.233010 0.972474i \(-0.574858\pi\)
0.896243 + 0.443564i \(0.146286\pi\)
\(810\) −8.45813 10.2058i −0.297188 0.358597i
\(811\) −3.76413 + 0.859138i −0.132176 + 0.0301684i −0.288097 0.957601i \(-0.593023\pi\)
0.155921 + 0.987770i \(0.450166\pi\)
\(812\) 20.9441 9.17886i 0.734993 0.322115i
\(813\) −30.1858 + 8.85048i −1.05866 + 0.310400i
\(814\) 14.2175 0.498324
\(815\) 20.5632 0.720299
\(816\) 0.799187 + 2.72574i 0.0279772 + 0.0954199i
\(817\) 7.80348 + 16.2041i 0.273009 + 0.566910i
\(818\) 18.4497 + 23.1352i 0.645078 + 0.808902i
\(819\) −3.94899 + 28.3220i −0.137989 + 0.989652i
\(820\) −4.63752 + 5.81526i −0.161949 + 0.203078i
\(821\) −40.1775 9.17025i −1.40220 0.320044i −0.546478 0.837474i \(-0.684032\pi\)
−0.855726 + 0.517430i \(0.826889\pi\)
\(822\) −2.29225 + 13.8868i −0.0799513 + 0.484357i
\(823\) 10.6440 5.12586i 0.371025 0.178676i −0.239074 0.971001i \(-0.576844\pi\)
0.610099 + 0.792325i \(0.291130\pi\)
\(824\) 8.05851 + 10.1051i 0.280732 + 0.352026i
\(825\) 0.590208 + 9.69418i 0.0205484 + 0.337508i
\(826\) 2.09884 + 10.9936i 0.0730280 + 0.382516i
\(827\) −10.4845 21.7713i −0.364581 0.757061i 0.635303 0.772263i \(-0.280875\pi\)
−0.999884 + 0.0152021i \(0.995161\pi\)
\(828\) −2.57562 4.01467i −0.0895091 0.139519i
\(829\) 19.3498 4.41646i 0.672045 0.153390i 0.127136 0.991885i \(-0.459421\pi\)
0.544909 + 0.838495i \(0.316564\pi\)
\(830\) 6.69572 13.9038i 0.232412 0.482608i
\(831\) −3.76672 + 22.8193i −0.130666 + 0.791594i
\(832\) 3.60276i 0.124903i
\(833\) 6.49791 + 9.46362i 0.225139 + 0.327895i
\(834\) 1.94446 1.08665i 0.0673310 0.0376274i
\(835\) 16.0228 20.0920i 0.554492 0.695311i
\(836\) −5.92995 2.85571i −0.205091 0.0987669i
\(837\) −7.27834 39.4546i −0.251576 1.36375i
\(838\) 0.123548 0.256550i 0.00426789 0.00886236i
\(839\) −8.67659 + 4.17842i −0.299549 + 0.144255i −0.577621 0.816305i \(-0.696019\pi\)
0.278072 + 0.960560i \(0.410305\pi\)
\(840\) 6.15226 + 2.77512i 0.212273 + 0.0957507i
\(841\) 41.1750 + 19.8288i 1.41983 + 0.683753i
\(842\) −24.4128 + 19.4686i −0.841322 + 0.670932i
\(843\) −30.2074 21.2202i −1.04040 0.730863i
\(844\) −0.969347 + 1.21552i −0.0333663 + 0.0418400i
\(845\) −0.00659605 + 0.0288992i −0.000226911 + 0.000994162i
\(846\) −12.9866 + 4.68192i −0.446489 + 0.160968i
\(847\) 15.0460 11.1428i 0.516988 0.382870i
\(848\) −10.4281 + 8.31611i −0.358101 + 0.285576i
\(849\) −18.4359 12.9509i −0.632719 0.444474i
\(850\) −4.52611 1.03305i −0.155244 0.0354335i
\(851\) 11.4123i 0.391210i
\(852\) −7.28739 13.0402i −0.249662 0.446748i
\(853\) 29.3011 + 6.68778i 1.00325 + 0.228985i 0.692431 0.721484i \(-0.256540\pi\)
0.310818 + 0.950469i \(0.399397\pi\)
\(854\) −13.7795 + 26.1763i −0.471526 + 0.895736i
\(855\) −4.71831 + 13.9027i −0.161363 + 0.475462i
\(856\) 0.131738 + 0.577182i 0.00450272 + 0.0197277i
\(857\) −20.4760 25.6760i −0.699445 0.877077i 0.297537 0.954710i \(-0.403835\pi\)
−0.996982 + 0.0776338i \(0.975264\pi\)
\(858\) 4.67627 11.4416i 0.159645 0.390609i
\(859\) 48.5131 11.0728i 1.65525 0.377799i 0.710011 0.704191i \(-0.248690\pi\)
0.945235 + 0.326392i \(0.105833\pi\)
\(860\) 1.77386 + 7.77180i 0.0604882 + 0.265016i
\(861\) −0.579752 23.1360i −0.0197579 0.788471i
\(862\) 5.21754 22.8595i 0.177710 0.778599i
\(863\) 30.2716i 1.03046i 0.857053 + 0.515229i \(0.172293\pi\)
−0.857053 + 0.515229i \(0.827707\pi\)
\(864\) −5.19158 0.218052i −0.176621 0.00741828i
\(865\) 6.23432 27.3144i 0.211973 0.928716i
\(866\) 14.9615 7.20508i 0.508412 0.244838i
\(867\) 22.9442 + 9.37751i 0.779227 + 0.318477i
\(868\) 12.1577 + 16.4165i 0.412661 + 0.557214i
\(869\) 11.9796 + 9.55341i 0.406380 + 0.324077i
\(870\) 6.20329 + 21.1572i 0.210311 + 0.717295i
\(871\) −16.8883 13.4679i −0.572237 0.456343i
\(872\) 5.33003 + 11.0679i 0.180498 + 0.374807i
\(873\) 2.78174 + 22.7604i 0.0941478 + 0.770324i
\(874\) −2.29226 + 4.75993i −0.0775369 + 0.161007i
\(875\) −24.5218 + 18.1603i −0.828988 + 0.613930i
\(876\) 9.26796 + 6.51059i 0.313136 + 0.219973i
\(877\) −13.0754 6.29678i −0.441525 0.212627i 0.199895 0.979817i \(-0.435940\pi\)
−0.641420 + 0.767190i \(0.721654\pi\)
\(878\) −1.56325 6.84906i −0.0527572 0.231145i
\(879\) 34.7642 2.11654i 1.17257 0.0713890i
\(880\) −2.28081 1.81888i −0.0768860 0.0613145i
\(881\) −41.7787 −1.40756 −0.703780 0.710418i \(-0.748506\pi\)
−0.703780 + 0.710418i \(0.748506\pi\)
\(882\) −20.2137 + 5.69250i −0.680632 + 0.191676i
\(883\) −41.7559 −1.40520 −0.702599 0.711586i \(-0.747977\pi\)
−0.702599 + 0.711586i \(0.747977\pi\)
\(884\) 4.61934 + 3.68380i 0.155365 + 0.123900i
\(885\) −10.7712 + 0.655779i −0.362069 + 0.0220438i
\(886\) 1.07459 + 4.70808i 0.0361015 + 0.158171i
\(887\) 50.8286 + 24.4778i 1.70666 + 0.821883i 0.992549 + 0.121850i \(0.0388826\pi\)
0.714110 + 0.700034i \(0.246832\pi\)
\(888\) −10.1731 7.14641i −0.341386 0.239818i
\(889\) −42.1018 + 8.03787i −1.41205 + 0.269581i
\(890\) −5.93241 + 12.3188i −0.198855 + 0.412926i
\(891\) −16.2043 7.43099i −0.542864 0.248947i
\(892\) −7.61000 15.8023i −0.254802 0.529101i
\(893\) 11.9545 + 9.53337i 0.400041 + 0.319022i
\(894\) 10.7623 + 36.7064i 0.359946 + 1.22765i
\(895\) 7.91330 + 6.31065i 0.264513 + 0.210942i
\(896\) 2.42325 1.06200i 0.0809552 0.0354791i
\(897\) −9.18407 3.75361i −0.306647 0.125329i
\(898\) −29.8892 + 14.3939i −0.997414 + 0.480329i
\(899\) −14.8496 + 65.0605i −0.495263 + 2.16989i
\(900\) 4.45044 7.23314i 0.148348 0.241105i
\(901\) 21.8737i 0.728719i
\(902\) −2.22596 + 9.75258i −0.0741165 + 0.324726i
\(903\) −19.7736 14.9742i −0.658026 0.498311i
\(904\) 0.139060 + 0.609262i 0.00462507 + 0.0202638i
\(905\) −2.14385 + 0.489320i −0.0712640 + 0.0162655i
\(906\) −7.21659 + 17.6570i −0.239755 + 0.586616i
\(907\) 31.2429 + 39.1774i 1.03740 + 1.30086i 0.952521 + 0.304473i \(0.0984803\pi\)
0.0848832 + 0.996391i \(0.472948\pi\)
\(908\) −1.71925 7.53254i −0.0570554 0.249976i
\(909\) 30.2443 + 10.2643i 1.00314 + 0.340446i
\(910\) 13.7896 2.63265i 0.457122 0.0872714i
\(911\) 8.48121 + 1.93578i 0.280995 + 0.0641352i 0.360696 0.932684i \(-0.382539\pi\)
−0.0797007 + 0.996819i \(0.525396\pi\)
\(912\) 2.80763 + 5.02402i 0.0929700 + 0.166362i
\(913\) 20.7546i 0.686877i
\(914\) 33.6277 + 7.67531i 1.11231 + 0.253877i
\(915\) −23.3387 16.3950i −0.771554 0.542004i
\(916\) 20.3680 16.2430i 0.672979 0.536683i
\(917\) −3.11620 2.67280i −0.102906 0.0882635i
\(918\) 5.58793 6.43351i 0.184429 0.212337i
\(919\) −3.21700 + 14.0946i −0.106119 + 0.464938i 0.893747 + 0.448571i \(0.148067\pi\)
−0.999866 + 0.0163664i \(0.994790\pi\)
\(920\) −1.46001 + 1.83079i −0.0481350 + 0.0603593i
\(921\) 4.99101 + 3.50610i 0.164459 + 0.115530i
\(922\) −7.90905 + 6.30726i −0.260471 + 0.207719i
\(923\) −27.9953 13.4818i −0.921475 0.443759i
\(924\) 9.07416 0.227385i 0.298518 0.00748041i
\(925\) 18.3072 8.81628i 0.601937 0.289878i
\(926\) 8.52272 17.6976i 0.280074 0.581580i
\(927\) 12.4613 36.7176i 0.409282 1.20596i
\(928\) 7.78704 + 3.75004i 0.255622 + 0.123101i
\(929\) −10.8898 + 13.6554i −0.357284 + 0.448020i −0.927695 0.373340i \(-0.878213\pi\)
0.570411 + 0.821360i \(0.306784\pi\)
\(930\) −17.1936 + 9.60853i −0.563801 + 0.315076i
\(931\) 17.1026 + 15.7645i 0.560515 + 0.516660i
\(932\) 15.8853i 0.520341i
\(933\) −4.40454 + 26.6834i −0.144198 + 0.873574i
\(934\) 11.2052 23.2678i 0.366644 0.761345i
\(935\) 4.66422 1.06458i 0.152536 0.0348154i
\(936\) −9.09708 + 5.83626i −0.297347 + 0.190764i
\(937\) 4.88887 + 10.1518i 0.159712 + 0.331646i 0.965434 0.260649i \(-0.0839364\pi\)
−0.805721 + 0.592295i \(0.798222\pi\)
\(938\) 4.08043 15.3292i 0.133231 0.500517i
\(939\) −3.03626 49.8706i −0.0990845 1.62747i
\(940\) 4.22553 + 5.29864i 0.137821 + 0.172823i
\(941\) 26.1828 12.6090i 0.853536 0.411041i 0.0446473 0.999003i \(-0.485784\pi\)
0.808889 + 0.587961i \(0.200069\pi\)
\(942\) −3.21536 + 19.4791i −0.104762 + 0.634665i
\(943\) 7.82834 + 1.78677i 0.254926 + 0.0581851i
\(944\) −2.63751 + 3.30733i −0.0858435 + 0.107644i
\(945\) −2.95905 20.0302i −0.0962578 0.651582i
\(946\) 6.68451 + 8.38211i 0.217332 + 0.272526i
\(947\) −19.4354 40.3579i −0.631564 1.31146i −0.933654 0.358177i \(-0.883398\pi\)
0.302089 0.953280i \(-0.402316\pi\)
\(948\) −3.76975 12.8573i −0.122436 0.417584i
\(949\) 23.5591 0.764761
\(950\) −9.40651 −0.305188
\(951\) 9.63452 2.82485i 0.312421 0.0916019i
\(952\) −1.11609 + 4.19291i −0.0361728 + 0.135893i
\(953\) 37.6700 8.59792i 1.22025 0.278514i 0.436565 0.899673i \(-0.356195\pi\)
0.783685 + 0.621159i \(0.213338\pi\)
\(954\) 37.8913 + 12.8596i 1.22678 + 0.416345i
\(955\) 13.2755 10.5869i 0.429585 0.342583i
\(956\) −18.7533 + 14.9552i −0.606523 + 0.483686i
\(957\) 19.8625 + 22.0166i 0.642063 + 0.711697i
\(958\) 12.3796 2.82556i 0.399966 0.0912896i
\(959\) −13.9970 + 16.3190i −0.451986 + 0.526968i
\(960\) 0.717727 + 2.44791i 0.0231645 + 0.0790058i
\(961\) −28.6162 −0.923104
\(962\) −25.8599 −0.833756
\(963\) 1.24400 1.26765i 0.0400872 0.0408493i
\(964\) −0.130002 0.269952i −0.00418708 0.00869456i
\(965\) 16.4719 + 20.6551i 0.530248 + 0.664910i
\(966\) −0.182520 7.28377i −0.00587249 0.234351i
\(967\) 13.6485 17.1146i 0.438905 0.550369i −0.512349 0.858777i \(-0.671225\pi\)
0.951254 + 0.308408i \(0.0997961\pi\)
\(968\) 6.89914 + 1.57468i 0.221747 + 0.0506123i
\(969\) −9.31242 1.53717i −0.299158 0.0493811i
\(970\) 10.1422 4.88421i 0.325645 0.156822i
\(971\) −16.2586 20.3877i −0.521764 0.654271i 0.449219 0.893422i \(-0.351702\pi\)
−0.970982 + 0.239151i \(0.923131\pi\)
\(972\) 7.85947 + 13.4621i 0.252092 + 0.431798i
\(973\) 3.40037 + 0.121630i 0.109011 + 0.00389929i
\(974\) −5.58270 11.5926i −0.178881 0.371451i
\(975\) −1.07351 17.6325i −0.0343799 0.564691i
\(976\) −10.9005 + 2.48797i −0.348917 + 0.0796379i
\(977\) 14.4872 30.0829i 0.463486 0.962438i −0.529948 0.848030i \(-0.677789\pi\)
0.993434 0.114408i \(-0.0364971\pi\)
\(978\) −23.8601 3.93852i −0.762962 0.125940i
\(979\) 18.3886i 0.587702i
\(980\) 5.83558 + 8.49900i 0.186411 + 0.271491i
\(981\) 19.3125 31.3879i 0.616601 1.00214i
\(982\) −9.51142 + 11.9269i −0.303522 + 0.380604i
\(983\) −38.1792 18.3861i −1.21773 0.586427i −0.289050 0.957314i \(-0.593339\pi\)
−0.928678 + 0.370887i \(0.879054\pi\)
\(984\) 6.49485 5.85938i 0.207048 0.186790i
\(985\) −10.3066 + 21.4018i −0.328395 + 0.681918i
\(986\) −12.7704 + 6.14989i −0.406692 + 0.195852i
\(987\) −20.6696 4.17587i −0.657920 0.132919i
\(988\) 10.7858 + 5.19417i 0.343142 + 0.165249i
\(989\) 6.72827 5.36561i 0.213946 0.170617i
\(990\) −0.897961 + 8.70559i −0.0285391 + 0.276682i
\(991\) 28.6284 35.8988i 0.909410 1.14036i −0.0802274 0.996777i \(-0.525565\pi\)
0.989638 0.143588i \(-0.0458639\pi\)
\(992\) −1.71812 + 7.52757i −0.0545503 + 0.239001i
\(993\) −5.66874 + 34.3421i −0.179892 + 1.08981i
\(994\) 0.815692 22.8040i 0.0258722 0.723299i
\(995\) −6.92043 + 5.51886i −0.219392 + 0.174960i
\(996\) −10.4323 + 14.8505i −0.330559 + 0.470557i
\(997\) −49.7488 11.3548i −1.57556 0.359612i −0.656688 0.754163i \(-0.728043\pi\)
−0.918874 + 0.394551i \(0.870900\pi\)
\(998\) 26.1845i 0.828855i
\(999\) −1.56513 + 37.2641i −0.0495186 + 1.17898i
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 294.2.j.a.251.20 yes 120
3.2 odd 2 inner 294.2.j.a.251.3 yes 120
49.41 odd 14 inner 294.2.j.a.41.3 120
147.41 even 14 inner 294.2.j.a.41.20 yes 120
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
294.2.j.a.41.3 120 49.41 odd 14 inner
294.2.j.a.41.20 yes 120 147.41 even 14 inner
294.2.j.a.251.3 yes 120 3.2 odd 2 inner
294.2.j.a.251.20 yes 120 1.1 even 1 trivial