Properties

Label 231.2.y.b.4.7
Level $231$
Weight $2$
Character 231.4
Analytic conductor $1.845$
Analytic rank $0$
Dimension $64$
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] = [231,2,Mod(4,231)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(231, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([0, 20, 6]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("231.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 231 = 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 231.y (of order \(15\), degree \(8\), 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: \(1.84454428669\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(8\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 4.7
Character \(\chi\) \(=\) 231.4
Dual form 231.2.y.b.58.7

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.164728 - 1.56729i) q^{2} +(0.669131 + 0.743145i) q^{3} +(-0.472952 - 0.100529i) q^{4} +(-3.79103 - 1.68787i) q^{5} +(1.27494 - 0.926302i) q^{6} +(2.12208 - 1.58012i) q^{7} +(0.738505 - 2.27288i) q^{8} +(-0.104528 + 0.994522i) q^{9} +O(q^{10})\) \(q+(0.164728 - 1.56729i) q^{2} +(0.669131 + 0.743145i) q^{3} +(-0.472952 - 0.100529i) q^{4} +(-3.79103 - 1.68787i) q^{5} +(1.27494 - 0.926302i) q^{6} +(2.12208 - 1.58012i) q^{7} +(0.738505 - 2.27288i) q^{8} +(-0.104528 + 0.994522i) q^{9} +(-3.26987 + 5.66358i) q^{10} +(1.12120 - 3.12136i) q^{11} +(-0.241759 - 0.418739i) q^{12} +(-1.57878 - 1.14705i) q^{13} +(-2.12693 - 3.58619i) q^{14} +(-1.28236 - 3.94669i) q^{15} +(-4.32404 - 1.92518i) q^{16} +(0.474916 + 4.51852i) q^{17} +(1.54148 + 0.327652i) q^{18} +(4.93569 - 1.04911i) q^{19} +(1.62329 + 1.17939i) q^{20} +(2.59421 + 0.519706i) q^{21} +(-4.70737 - 2.27142i) q^{22} +(0.495419 + 0.858091i) q^{23} +(2.18324 - 0.972040i) q^{24} +(8.17730 + 9.08182i) q^{25} +(-2.05783 + 2.28545i) q^{26} +(-0.809017 + 0.587785i) q^{27} +(-1.16249 + 0.533991i) q^{28} +(0.853348 + 2.62634i) q^{29} +(-6.39683 + 1.35969i) q^{30} +(-4.24603 + 1.89045i) q^{31} +(-1.33975 + 2.32052i) q^{32} +(3.06986 - 1.25538i) q^{33} +7.16004 q^{34} +(-10.7119 + 2.40847i) q^{35} +(0.149415 - 0.459853i) q^{36} +(-2.13405 + 2.37011i) q^{37} +(-0.831213 - 7.90846i) q^{38} +(-0.203985 - 1.94079i) q^{39} +(-6.63603 + 7.37006i) q^{40} +(-3.23441 + 9.95449i) q^{41} +(1.24187 - 3.98025i) q^{42} +3.83062 q^{43} +(-0.844064 + 1.36354i) q^{44} +(2.07490 - 3.59383i) q^{45} +(1.42648 - 0.635111i) q^{46} +(5.86007 - 1.24560i) q^{47} +(-1.46265 - 4.50159i) q^{48} +(2.00644 - 6.70628i) q^{49} +(15.5808 - 11.3201i) q^{50} +(-3.04014 + 3.37641i) q^{51} +(0.631376 + 0.701214i) q^{52} +(8.86428 - 3.94663i) q^{53} +(0.787959 + 1.36479i) q^{54} +(-9.51898 + 9.94071i) q^{55} +(-2.02426 - 5.99016i) q^{56} +(4.08227 + 2.96594i) q^{57} +(4.25679 - 0.904808i) q^{58} +(6.42889 + 1.36650i) q^{59} +(0.209737 + 1.99551i) q^{60} +(-6.90543 - 3.07450i) q^{61} +(2.26344 + 6.96614i) q^{62} +(1.34965 + 2.27562i) q^{63} +(-4.24233 - 3.08223i) q^{64} +(4.04912 + 7.01328i) q^{65} +(-1.46185 - 5.01814i) q^{66} +(-0.922802 + 1.59834i) q^{67} +(0.229631 - 2.18479i) q^{68} +(-0.306186 + 0.942343i) q^{69} +(2.01021 + 17.1853i) q^{70} +(3.33445 - 2.42262i) q^{71} +(2.18324 + 0.972040i) q^{72} +(4.60897 + 0.979667i) q^{73} +(3.36309 + 3.73509i) q^{74} +(-1.27742 + 12.1538i) q^{75} -2.43982 q^{76} +(-2.55284 - 8.39542i) q^{77} -3.07537 q^{78} +(0.135587 - 1.29003i) q^{79} +(13.1431 + 14.5969i) q^{80} +(-0.978148 - 0.207912i) q^{81} +(15.0687 + 6.70903i) q^{82} +(1.10236 - 0.800908i) q^{83} +(-1.17469 - 0.506589i) q^{84} +(5.82627 - 17.9314i) q^{85} +(0.631011 - 6.00367i) q^{86} +(-1.38075 + 2.39152i) q^{87} +(-6.26648 - 4.85351i) q^{88} +(-7.79893 - 13.5081i) q^{89} +(-5.29076 - 3.84396i) q^{90} +(-5.16278 + 0.0605292i) q^{91} +(-0.148047 - 0.455640i) q^{92} +(-4.24603 - 1.89045i) q^{93} +(-0.986885 - 9.38959i) q^{94} +(-20.4821 - 4.35361i) q^{95} +(-2.62095 + 0.557101i) q^{96} +(3.00835 + 2.18569i) q^{97} +(-10.1801 - 4.24938i) q^{98} +(2.98706 + 1.44133i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q + 4 q^{2} + 8 q^{3} + 10 q^{4} - 4 q^{5} - 8 q^{6} - q^{7} + 8 q^{8} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 64 q + 4 q^{2} + 8 q^{3} + 10 q^{4} - 4 q^{5} - 8 q^{6} - q^{7} + 8 q^{8} + 8 q^{9} - 14 q^{10} + 11 q^{11} - 30 q^{12} - 8 q^{13} + 6 q^{14} - 12 q^{15} - 4 q^{17} - q^{18} - 2 q^{19} + 24 q^{20} - 2 q^{21} - 14 q^{22} + 16 q^{24} - 10 q^{25} + 4 q^{26} - 16 q^{27} + 29 q^{28} - 58 q^{29} + 11 q^{30} - 19 q^{31} - 64 q^{32} + 6 q^{33} - 88 q^{34} + 17 q^{35} - 20 q^{36} - 20 q^{37} + 29 q^{38} + 4 q^{39} + 51 q^{40} - 68 q^{41} - 11 q^{42} + 92 q^{43} - 21 q^{44} - 4 q^{45} - 5 q^{46} - 26 q^{47} - 10 q^{48} + 37 q^{49} - 10 q^{50} + 6 q^{51} - 14 q^{52} - 3 q^{53} - 6 q^{54} - 32 q^{55} + 24 q^{56} - 36 q^{57} + 52 q^{58} + 7 q^{59} - 12 q^{60} - 21 q^{61} + 92 q^{62} - 7 q^{63} - 72 q^{64} - 66 q^{65} - 23 q^{66} - 4 q^{67} - 17 q^{68} + 40 q^{69} - q^{70} + 58 q^{71} + 16 q^{72} - 3 q^{73} - 28 q^{74} + 20 q^{75} + 168 q^{76} - 34 q^{77} + 132 q^{78} + 9 q^{79} - 5 q^{80} + 8 q^{81} - 42 q^{82} + 60 q^{83} - 39 q^{84} + 110 q^{85} + 13 q^{86} - 46 q^{87} + 92 q^{88} - 10 q^{89} + 8 q^{90} + 10 q^{91} + 110 q^{92} - 19 q^{93} - 46 q^{94} + 43 q^{95} - 4 q^{96} + 64 q^{97} - 88 q^{98} + 28 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/231\mathbb{Z}\right)^\times\).

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.164728 1.56729i 0.116481 1.10824i −0.767608 0.640919i \(-0.778553\pi\)
0.884089 0.467319i \(-0.154780\pi\)
\(3\) 0.669131 + 0.743145i 0.386323 + 0.429055i
\(4\) −0.472952 0.100529i −0.236476 0.0502646i
\(5\) −3.79103 1.68787i −1.69540 0.754840i −0.999320 0.0368739i \(-0.988260\pi\)
−0.696078 0.717966i \(-0.745073\pi\)
\(6\) 1.27494 0.926302i 0.520494 0.378161i
\(7\) 2.12208 1.58012i 0.802071 0.597229i
\(8\) 0.738505 2.27288i 0.261101 0.803586i
\(9\) −0.104528 + 0.994522i −0.0348428 + 0.331507i
\(10\) −3.26987 + 5.66358i −1.03402 + 1.79098i
\(11\) 1.12120 3.12136i 0.338056 0.941126i
\(12\) −0.241759 0.418739i −0.0697899 0.120880i
\(13\) −1.57878 1.14705i −0.437875 0.318135i 0.346915 0.937897i \(-0.387229\pi\)
−0.784790 + 0.619762i \(0.787229\pi\)
\(14\) −2.12693 3.58619i −0.568447 0.958451i
\(15\) −1.28236 3.94669i −0.331103 1.01903i
\(16\) −4.32404 1.92518i −1.08101 0.481296i
\(17\) 0.474916 + 4.51852i 0.115184 + 1.09590i 0.887546 + 0.460720i \(0.152409\pi\)
−0.772362 + 0.635183i \(0.780925\pi\)
\(18\) 1.54148 + 0.327652i 0.363330 + 0.0772283i
\(19\) 4.93569 1.04911i 1.13233 0.240683i 0.396619 0.917983i \(-0.370183\pi\)
0.735707 + 0.677300i \(0.236850\pi\)
\(20\) 1.62329 + 1.17939i 0.362980 + 0.263720i
\(21\) 2.59421 + 0.519706i 0.566102 + 0.113409i
\(22\) −4.70737 2.27142i −1.00361 0.484269i
\(23\) 0.495419 + 0.858091i 0.103302 + 0.178924i 0.913043 0.407863i \(-0.133726\pi\)
−0.809741 + 0.586787i \(0.800393\pi\)
\(24\) 2.18324 0.972040i 0.445651 0.198417i
\(25\) 8.17730 + 9.08182i 1.63546 + 1.81636i
\(26\) −2.05783 + 2.28545i −0.403573 + 0.448213i
\(27\) −0.809017 + 0.587785i −0.155695 + 0.113119i
\(28\) −1.16249 + 0.533991i −0.219690 + 0.100915i
\(29\) 0.853348 + 2.62634i 0.158463 + 0.487698i 0.998495 0.0548378i \(-0.0174642\pi\)
−0.840032 + 0.542536i \(0.817464\pi\)
\(30\) −6.39683 + 1.35969i −1.16790 + 0.248244i
\(31\) −4.24603 + 1.89045i −0.762609 + 0.339535i −0.750917 0.660396i \(-0.770388\pi\)
−0.0116915 + 0.999932i \(0.503722\pi\)
\(32\) −1.33975 + 2.32052i −0.236837 + 0.410214i
\(33\) 3.06986 1.25538i 0.534393 0.218534i
\(34\) 7.16004 1.22794
\(35\) −10.7119 + 2.40847i −1.81064 + 0.407106i
\(36\) 0.149415 0.459853i 0.0249026 0.0766422i
\(37\) −2.13405 + 2.37011i −0.350836 + 0.389643i −0.892571 0.450906i \(-0.851101\pi\)
0.541735 + 0.840549i \(0.317768\pi\)
\(38\) −0.831213 7.90846i −0.134841 1.28292i
\(39\) −0.203985 1.94079i −0.0326638 0.310775i
\(40\) −6.63603 + 7.37006i −1.04925 + 1.16531i
\(41\) −3.23441 + 9.95449i −0.505130 + 1.55463i 0.295422 + 0.955367i \(0.404540\pi\)
−0.800552 + 0.599263i \(0.795460\pi\)
\(42\) 1.24187 3.98025i 0.191624 0.614166i
\(43\) 3.83062 0.584163 0.292082 0.956393i \(-0.405652\pi\)
0.292082 + 0.956393i \(0.405652\pi\)
\(44\) −0.844064 + 1.36354i −0.127247 + 0.205562i
\(45\) 2.07490 3.59383i 0.309307 0.535736i
\(46\) 1.42648 0.635111i 0.210323 0.0936420i
\(47\) 5.86007 1.24560i 0.854779 0.181689i 0.240375 0.970680i \(-0.422730\pi\)
0.614404 + 0.788991i \(0.289396\pi\)
\(48\) −1.46265 4.50159i −0.211116 0.649748i
\(49\) 2.00644 6.70628i 0.286634 0.958040i
\(50\) 15.5808 11.3201i 2.20346 1.60091i
\(51\) −3.04014 + 3.37641i −0.425704 + 0.472792i
\(52\) 0.631376 + 0.701214i 0.0875561 + 0.0972409i
\(53\) 8.86428 3.94663i 1.21760 0.542111i 0.305546 0.952177i \(-0.401161\pi\)
0.912056 + 0.410066i \(0.134494\pi\)
\(54\) 0.787959 + 1.36479i 0.107228 + 0.185724i
\(55\) −9.51898 + 9.94071i −1.28354 + 1.34041i
\(56\) −2.02426 5.99016i −0.270504 0.800469i
\(57\) 4.08227 + 2.96594i 0.540710 + 0.392849i
\(58\) 4.25679 0.904808i 0.558944 0.118807i
\(59\) 6.42889 + 1.36650i 0.836970 + 0.177903i 0.606408 0.795154i \(-0.292610\pi\)
0.230563 + 0.973057i \(0.425943\pi\)
\(60\) 0.209737 + 1.99551i 0.0270769 + 0.257619i
\(61\) −6.90543 3.07450i −0.884150 0.393649i −0.0861326 0.996284i \(-0.527451\pi\)
−0.798017 + 0.602635i \(0.794118\pi\)
\(62\) 2.26344 + 6.96614i 0.287457 + 0.884701i
\(63\) 1.34965 + 2.27562i 0.170039 + 0.286701i
\(64\) −4.24233 3.08223i −0.530291 0.385279i
\(65\) 4.04912 + 7.01328i 0.502231 + 0.869890i
\(66\) −1.46185 5.01814i −0.179941 0.617690i
\(67\) −0.922802 + 1.59834i −0.112738 + 0.195268i −0.916873 0.399178i \(-0.869295\pi\)
0.804135 + 0.594446i \(0.202629\pi\)
\(68\) 0.229631 2.18479i 0.0278468 0.264945i
\(69\) −0.306186 + 0.942343i −0.0368604 + 0.113445i
\(70\) 2.01021 + 17.1853i 0.240266 + 2.05404i
\(71\) 3.33445 2.42262i 0.395726 0.287512i −0.372072 0.928204i \(-0.621352\pi\)
0.767798 + 0.640692i \(0.221352\pi\)
\(72\) 2.18324 + 0.972040i 0.257297 + 0.114556i
\(73\) 4.60897 + 0.979667i 0.539439 + 0.114661i 0.469571 0.882895i \(-0.344409\pi\)
0.0698685 + 0.997556i \(0.477742\pi\)
\(74\) 3.36309 + 3.73509i 0.390952 + 0.434196i
\(75\) −1.27742 + 12.1538i −0.147504 + 1.40340i
\(76\) −2.43982 −0.279866
\(77\) −2.55284 8.39542i −0.290923 0.956746i
\(78\) −3.07537 −0.348217
\(79\) 0.135587 1.29003i 0.0152548 0.145139i −0.984243 0.176819i \(-0.943419\pi\)
0.999498 + 0.0316801i \(0.0100858\pi\)
\(80\) 13.1431 + 14.5969i 1.46944 + 1.63198i
\(81\) −0.978148 0.207912i −0.108683 0.0231013i
\(82\) 15.0687 + 6.70903i 1.66406 + 0.740888i
\(83\) 1.10236 0.800908i 0.120999 0.0879111i −0.525640 0.850707i \(-0.676174\pi\)
0.646639 + 0.762796i \(0.276174\pi\)
\(84\) −1.17469 0.506589i −0.128169 0.0552734i
\(85\) 5.82627 17.9314i 0.631948 1.94494i
\(86\) 0.631011 6.00367i 0.0680436 0.647392i
\(87\) −1.38075 + 2.39152i −0.148032 + 0.256398i
\(88\) −6.26648 4.85351i −0.668009 0.517386i
\(89\) −7.79893 13.5081i −0.826685 1.43186i −0.900625 0.434598i \(-0.856891\pi\)
0.0739396 0.997263i \(-0.476443\pi\)
\(90\) −5.29076 3.84396i −0.557695 0.405189i
\(91\) −5.16278 + 0.0605292i −0.541206 + 0.00634519i
\(92\) −0.148047 0.455640i −0.0154349 0.0475038i
\(93\) −4.24603 1.89045i −0.440292 0.196031i
\(94\) −0.986885 9.38959i −0.101789 0.968462i
\(95\) −20.4821 4.35361i −2.10142 0.446671i
\(96\) −2.62095 + 0.557101i −0.267500 + 0.0568589i
\(97\) 3.00835 + 2.18569i 0.305451 + 0.221923i 0.729942 0.683509i \(-0.239547\pi\)
−0.424491 + 0.905432i \(0.639547\pi\)
\(98\) −10.1801 4.24938i −1.02835 0.429252i
\(99\) 2.98706 + 1.44133i 0.300211 + 0.144859i
\(100\) −2.95449 5.11733i −0.295449 0.511733i
\(101\) −10.4864 + 4.66884i −1.04344 + 0.464567i −0.855602 0.517634i \(-0.826813\pi\)
−0.187833 + 0.982201i \(0.560146\pi\)
\(102\) 4.79101 + 5.32095i 0.474380 + 0.526853i
\(103\) 3.99578 4.43777i 0.393716 0.437266i −0.513398 0.858151i \(-0.671614\pi\)
0.907114 + 0.420884i \(0.138280\pi\)
\(104\) −3.77305 + 2.74128i −0.369978 + 0.268805i
\(105\) −8.95750 6.34891i −0.874163 0.619590i
\(106\) −4.72530 14.5430i −0.458962 1.41254i
\(107\) 3.73517 0.793935i 0.361092 0.0767526i −0.0237931 0.999717i \(-0.507574\pi\)
0.384885 + 0.922964i \(0.374241\pi\)
\(108\) 0.441716 0.196665i 0.0425042 0.0189241i
\(109\) −2.52250 + 4.36909i −0.241611 + 0.418483i −0.961173 0.275945i \(-0.911009\pi\)
0.719562 + 0.694428i \(0.244343\pi\)
\(110\) 14.0119 + 16.5565i 1.33598 + 1.57860i
\(111\) −3.18929 −0.302714
\(112\) −12.2180 + 2.74710i −1.15449 + 0.259577i
\(113\) −4.75887 + 14.6463i −0.447677 + 1.37781i 0.431844 + 0.901949i \(0.357863\pi\)
−0.879521 + 0.475860i \(0.842137\pi\)
\(114\) 5.32094 5.90950i 0.498352 0.553476i
\(115\) −0.429798 4.08925i −0.0400788 0.381325i
\(116\) −0.139570 1.32792i −0.0129587 0.123294i
\(117\) 1.30579 1.45023i 0.120721 0.134074i
\(118\) 3.20072 9.85080i 0.294650 0.906840i
\(119\) 8.14762 + 8.83824i 0.746891 + 0.810200i
\(120\) −9.91739 −0.905330
\(121\) −8.48580 6.99937i −0.771436 0.636306i
\(122\) −5.95613 + 10.3163i −0.539243 + 0.933996i
\(123\) −9.56187 + 4.25722i −0.862165 + 0.383860i
\(124\) 2.19821 0.467245i 0.197405 0.0419598i
\(125\) −9.25963 28.4982i −0.828206 2.54896i
\(126\) 3.78887 1.74042i 0.337540 0.155049i
\(127\) −12.6872 + 9.21782i −1.12581 + 0.817949i −0.985080 0.172099i \(-0.944945\pi\)
−0.140731 + 0.990048i \(0.544945\pi\)
\(128\) −9.11545 + 10.1237i −0.805700 + 0.894820i
\(129\) 2.56318 + 2.84670i 0.225676 + 0.250638i
\(130\) 11.6588 5.19084i 1.02255 0.455267i
\(131\) −5.39188 9.33900i −0.471090 0.815952i 0.528363 0.849019i \(-0.322806\pi\)
−0.999453 + 0.0330662i \(0.989473\pi\)
\(132\) −1.57810 + 0.285126i −0.137356 + 0.0248170i
\(133\) 8.81621 10.0253i 0.764462 0.869303i
\(134\) 2.35304 + 1.70958i 0.203272 + 0.147686i
\(135\) 4.05911 0.862791i 0.349353 0.0742572i
\(136\) 10.6208 + 2.25752i 0.910726 + 0.193581i
\(137\) 1.62834 + 15.4926i 0.139118 + 1.32362i 0.811908 + 0.583786i \(0.198429\pi\)
−0.672790 + 0.739834i \(0.734904\pi\)
\(138\) 1.42648 + 0.635111i 0.121430 + 0.0540643i
\(139\) 5.54456 + 17.0644i 0.470284 + 1.44738i 0.852214 + 0.523193i \(0.175259\pi\)
−0.381930 + 0.924191i \(0.624741\pi\)
\(140\) 5.30834 0.0622359i 0.448637 0.00525989i
\(141\) 4.84681 + 3.52141i 0.408175 + 0.296557i
\(142\) −3.24766 5.62511i −0.272537 0.472048i
\(143\) −5.35050 + 3.64187i −0.447431 + 0.304548i
\(144\) 2.36662 4.09911i 0.197219 0.341593i
\(145\) 1.19786 11.3968i 0.0994766 0.946457i
\(146\) 2.29465 7.06219i 0.189906 0.584471i
\(147\) 6.32631 2.99630i 0.521785 0.247131i
\(148\) 1.24757 0.906413i 0.102550 0.0745067i
\(149\) 3.55557 + 1.58304i 0.291284 + 0.129688i 0.547176 0.837017i \(-0.315703\pi\)
−0.255893 + 0.966705i \(0.582369\pi\)
\(150\) 18.8381 + 4.00416i 1.53813 + 0.326939i
\(151\) 1.08676 + 1.20697i 0.0884395 + 0.0982220i 0.785740 0.618557i \(-0.212282\pi\)
−0.697301 + 0.716779i \(0.745616\pi\)
\(152\) 1.26052 11.9930i 0.102242 0.972764i
\(153\) −4.54341 −0.367313
\(154\) −13.5785 + 2.61807i −1.09419 + 0.210970i
\(155\) 19.2876 1.54922
\(156\) −0.0986306 + 0.938408i −0.00789677 + 0.0751327i
\(157\) −5.54667 6.16020i −0.442673 0.491638i 0.479975 0.877282i \(-0.340646\pi\)
−0.922647 + 0.385645i \(0.873979\pi\)
\(158\) −1.99950 0.425008i −0.159072 0.0338118i
\(159\) 8.86428 + 3.94663i 0.702983 + 0.312988i
\(160\) 8.99579 6.53582i 0.711180 0.516702i
\(161\) 2.40721 + 1.03812i 0.189714 + 0.0818150i
\(162\) −0.486986 + 1.49879i −0.0382612 + 0.117756i
\(163\) 0.269230 2.56155i 0.0210877 0.200636i −0.978906 0.204313i \(-0.934504\pi\)
0.999993 + 0.00367718i \(0.00117049\pi\)
\(164\) 2.53044 4.38285i 0.197594 0.342243i
\(165\) −13.7568 0.422346i −1.07097 0.0328796i
\(166\) −1.07366 1.85964i −0.0833324 0.144336i
\(167\) 10.9144 + 7.92980i 0.844584 + 0.613626i 0.923647 0.383243i \(-0.125193\pi\)
−0.0790634 + 0.996870i \(0.525193\pi\)
\(168\) 3.09706 5.51252i 0.238944 0.425300i
\(169\) −2.84040 8.74185i −0.218492 0.672450i
\(170\) −27.1439 12.0852i −2.08184 0.926896i
\(171\) 0.527447 + 5.01832i 0.0403348 + 0.383760i
\(172\) −1.81170 0.385089i −0.138141 0.0293627i
\(173\) −0.496584 + 0.105552i −0.0377546 + 0.00802498i −0.226750 0.973953i \(-0.572810\pi\)
0.188996 + 0.981978i \(0.439477\pi\)
\(174\) 3.52075 + 2.55797i 0.266907 + 0.193920i
\(175\) 31.7033 + 6.35121i 2.39654 + 0.480107i
\(176\) −10.8573 + 11.3384i −0.818402 + 0.854661i
\(177\) 3.28626 + 5.69196i 0.247010 + 0.427834i
\(178\) −22.4558 + 9.99798i −1.68313 + 0.749380i
\(179\) −10.3026 11.4422i −0.770053 0.855231i 0.222764 0.974872i \(-0.428492\pi\)
−0.992817 + 0.119642i \(0.961825\pi\)
\(180\) −1.34261 + 1.49112i −0.100072 + 0.111142i
\(181\) 18.9457 13.7649i 1.40822 1.02313i 0.414646 0.909983i \(-0.363905\pi\)
0.993578 0.113152i \(-0.0360946\pi\)
\(182\) −0.755589 + 8.10151i −0.0560080 + 0.600524i
\(183\) −2.33584 7.18897i −0.172670 0.531424i
\(184\) 2.31621 0.492326i 0.170753 0.0362947i
\(185\) 12.0907 5.38312i 0.888925 0.395775i
\(186\) −3.66232 + 6.34332i −0.268534 + 0.465115i
\(187\) 14.6364 + 3.58380i 1.07032 + 0.262074i
\(188\) −2.89675 −0.211267
\(189\) −0.788027 + 2.52567i −0.0573205 + 0.183716i
\(190\) −10.1973 + 31.3842i −0.739792 + 2.27685i
\(191\) −15.7352 + 17.4757i −1.13856 + 1.26450i −0.178736 + 0.983897i \(0.557201\pi\)
−0.959824 + 0.280602i \(0.909466\pi\)
\(192\) −0.548127 5.21508i −0.0395577 0.376366i
\(193\) −2.26304 21.5314i −0.162897 1.54986i −0.704789 0.709417i \(-0.748959\pi\)
0.541892 0.840448i \(-0.317708\pi\)
\(194\) 3.92116 4.35489i 0.281523 0.312663i
\(195\) −2.50249 + 7.70188i −0.179207 + 0.551543i
\(196\) −1.62313 + 2.97005i −0.115938 + 0.212146i
\(197\) −15.2088 −1.08358 −0.541790 0.840514i \(-0.682253\pi\)
−0.541790 + 0.840514i \(0.682253\pi\)
\(198\) 2.75104 4.44415i 0.195508 0.315832i
\(199\) −6.60469 + 11.4397i −0.468194 + 0.810936i −0.999339 0.0363450i \(-0.988428\pi\)
0.531145 + 0.847281i \(0.321762\pi\)
\(200\) 26.6809 11.8791i 1.88662 0.839979i
\(201\) −1.80527 + 0.383722i −0.127334 + 0.0270657i
\(202\) 5.59000 + 17.2043i 0.393311 + 1.21049i
\(203\) 5.96080 + 4.22490i 0.418366 + 0.296530i
\(204\) 1.77727 1.29126i 0.124434 0.0904063i
\(205\) 29.0636 32.2784i 2.02989 2.25442i
\(206\) −6.29703 6.99356i −0.438735 0.487264i
\(207\) −0.905176 + 0.403010i −0.0629141 + 0.0280111i
\(208\) 4.61842 + 7.99933i 0.320230 + 0.554654i
\(209\) 2.25926 16.5824i 0.156276 1.14703i
\(210\) −11.4261 + 12.9931i −0.788476 + 0.896610i
\(211\) 9.82946 + 7.14152i 0.676688 + 0.491643i 0.872257 0.489047i \(-0.162655\pi\)
−0.195569 + 0.980690i \(0.562655\pi\)
\(212\) −4.58913 + 0.975450i −0.315183 + 0.0669942i
\(213\) 4.03154 + 0.856930i 0.276236 + 0.0587159i
\(214\) −0.629034 5.98486i −0.0429999 0.409117i
\(215\) −14.5220 6.46559i −0.990389 0.440950i
\(216\) 0.738505 + 2.27288i 0.0502489 + 0.154650i
\(217\) −6.02326 + 10.7209i −0.408886 + 0.727783i
\(218\) 6.43209 + 4.67319i 0.435636 + 0.316508i
\(219\) 2.35597 + 4.08066i 0.159202 + 0.275745i
\(220\) 5.50136 3.74455i 0.370901 0.252457i
\(221\) 4.43319 7.67851i 0.298208 0.516512i
\(222\) −0.525367 + 4.99853i −0.0352603 + 0.335479i
\(223\) −3.00327 + 9.24310i −0.201114 + 0.618964i 0.798737 + 0.601680i \(0.205502\pi\)
−0.999851 + 0.0172836i \(0.994498\pi\)
\(224\) 0.823639 + 7.04131i 0.0550317 + 0.470467i
\(225\) −9.88683 + 7.18320i −0.659122 + 0.478880i
\(226\) 22.1710 + 9.87118i 1.47479 + 0.656621i
\(227\) 19.1597 + 4.07251i 1.27167 + 0.270302i 0.793828 0.608142i \(-0.208085\pi\)
0.477844 + 0.878445i \(0.341418\pi\)
\(228\) −1.63256 1.81314i −0.108119 0.120078i
\(229\) 0.340065 3.23550i 0.0224721 0.213808i −0.977523 0.210827i \(-0.932384\pi\)
0.999996 0.00298126i \(-0.000948965\pi\)
\(230\) −6.47982 −0.427267
\(231\) 4.53083 7.51476i 0.298106 0.494435i
\(232\) 6.59956 0.433282
\(233\) −2.97905 + 28.3438i −0.195164 + 1.85686i 0.258916 + 0.965900i \(0.416635\pi\)
−0.454080 + 0.890961i \(0.650032\pi\)
\(234\) −2.05783 2.28545i −0.134524 0.149404i
\(235\) −24.3181 5.16897i −1.58634 0.337186i
\(236\) −2.90319 1.29258i −0.188981 0.0841399i
\(237\) 1.04940 0.762435i 0.0681660 0.0495255i
\(238\) 15.1942 11.3137i 0.984893 0.733360i
\(239\) 0.503891 1.55082i 0.0325940 0.100314i −0.933436 0.358744i \(-0.883205\pi\)
0.966030 + 0.258430i \(0.0832051\pi\)
\(240\) −2.05315 + 19.5344i −0.132530 + 1.26094i
\(241\) −2.73011 + 4.72869i −0.175862 + 0.304602i −0.940459 0.339907i \(-0.889605\pi\)
0.764597 + 0.644508i \(0.222938\pi\)
\(242\) −12.3679 + 12.1467i −0.795036 + 0.780818i
\(243\) −0.500000 0.866025i −0.0320750 0.0555556i
\(244\) 2.95686 + 2.14829i 0.189294 + 0.137530i
\(245\) −18.9258 + 22.0371i −1.20913 + 1.40790i
\(246\) 5.09716 + 15.6875i 0.324983 + 1.00020i
\(247\) −8.99576 4.00517i −0.572387 0.254843i
\(248\) 1.16107 + 11.0468i 0.0737279 + 0.701474i
\(249\) 1.33281 + 0.283298i 0.0844635 + 0.0179533i
\(250\) −46.1901 + 9.81802i −2.92132 + 0.620946i
\(251\) −15.8982 11.5507i −1.00348 0.729073i −0.0406509 0.999173i \(-0.512943\pi\)
−0.962832 + 0.270100i \(0.912943\pi\)
\(252\) −0.409552 1.21194i −0.0257994 0.0763450i
\(253\) 3.23388 0.584287i 0.203312 0.0367338i
\(254\) 12.3570 + 21.4030i 0.775347 + 1.34294i
\(255\) 17.2242 7.66870i 1.07862 0.480233i
\(256\) 7.34762 + 8.16036i 0.459226 + 0.510023i
\(257\) −6.69460 + 7.43511i −0.417598 + 0.463789i −0.914836 0.403825i \(-0.867681\pi\)
0.497239 + 0.867614i \(0.334347\pi\)
\(258\) 4.88382 3.54830i 0.304054 0.220908i
\(259\) −0.783578 + 8.40161i −0.0486891 + 0.522051i
\(260\) −1.21000 3.72400i −0.0750411 0.230953i
\(261\) −2.70115 + 0.574147i −0.167197 + 0.0355388i
\(262\) −15.5251 + 6.91221i −0.959142 + 0.427038i
\(263\) 3.33921 5.78367i 0.205904 0.356637i −0.744516 0.667604i \(-0.767320\pi\)
0.950420 + 0.310968i \(0.100653\pi\)
\(264\) −0.586232 7.90453i −0.0360801 0.486490i
\(265\) −40.2661 −2.47353
\(266\) −14.2602 15.4690i −0.874350 0.948463i
\(267\) 4.82000 14.8344i 0.294979 0.907854i
\(268\) 0.597121 0.663170i 0.0364750 0.0405096i
\(269\) −2.88285 27.4285i −0.175771 1.67235i −0.626299 0.779583i \(-0.715431\pi\)
0.450528 0.892762i \(-0.351236\pi\)
\(270\) −0.683589 6.50391i −0.0416019 0.395815i
\(271\) 2.90164 3.22259i 0.176262 0.195759i −0.648540 0.761181i \(-0.724620\pi\)
0.824802 + 0.565422i \(0.191287\pi\)
\(272\) 6.64544 20.4526i 0.402939 1.24012i
\(273\) −3.49955 3.79619i −0.211803 0.229756i
\(274\) 24.5495 1.48309
\(275\) 37.5161 15.3418i 2.26230 0.925142i
\(276\) 0.239544 0.414903i 0.0144189 0.0249742i
\(277\) −6.98732 + 3.11096i −0.419827 + 0.186919i −0.605767 0.795642i \(-0.707134\pi\)
0.185940 + 0.982561i \(0.440467\pi\)
\(278\) 27.6581 5.87892i 1.65883 0.352594i
\(279\) −1.43627 4.42037i −0.0859870 0.264641i
\(280\) −2.43660 + 26.1256i −0.145615 + 1.56130i
\(281\) 9.49612 6.89934i 0.566491 0.411580i −0.267338 0.963603i \(-0.586144\pi\)
0.833829 + 0.552023i \(0.186144\pi\)
\(282\) 6.31747 7.01626i 0.376200 0.417812i
\(283\) −5.06137 5.62122i −0.300867 0.334147i 0.573687 0.819075i \(-0.305513\pi\)
−0.874554 + 0.484928i \(0.838846\pi\)
\(284\) −1.82058 + 0.810574i −0.108032 + 0.0480987i
\(285\) −10.4698 18.1343i −0.620180 1.07418i
\(286\) 4.82646 + 8.98567i 0.285395 + 0.531334i
\(287\) 8.86561 + 26.2350i 0.523321 + 1.54860i
\(288\) −2.16777 1.57498i −0.127737 0.0928063i
\(289\) −3.56299 + 0.757336i −0.209587 + 0.0445492i
\(290\) −17.6648 3.75477i −1.03731 0.220488i
\(291\) 0.388691 + 3.69815i 0.0227855 + 0.216789i
\(292\) −2.08134 0.926672i −0.121801 0.0542294i
\(293\) 4.69184 + 14.4400i 0.274100 + 0.843594i 0.989456 + 0.144834i \(0.0462647\pi\)
−0.715356 + 0.698760i \(0.753735\pi\)
\(294\) −3.65394 10.4087i −0.213102 0.607048i
\(295\) −22.0656 16.0316i −1.28471 0.933396i
\(296\) 3.81097 + 6.60079i 0.221508 + 0.383663i
\(297\) 0.927617 + 3.18426i 0.0538258 + 0.184770i
\(298\) 3.06678 5.31182i 0.177654 0.307706i
\(299\) 0.202116 1.92301i 0.0116887 0.111210i
\(300\) 1.82597 5.61977i 0.105423 0.324458i
\(301\) 8.12887 6.05283i 0.468540 0.348879i
\(302\) 2.07069 1.50444i 0.119155 0.0865711i
\(303\) −10.4864 4.66884i −0.602428 0.268218i
\(304\) −23.3619 4.96572i −1.33989 0.284803i
\(305\) 20.9893 + 23.3110i 1.20184 + 1.33478i
\(306\) −0.748428 + 7.12082i −0.0427848 + 0.407070i
\(307\) −11.8851 −0.678321 −0.339161 0.940729i \(-0.610143\pi\)
−0.339161 + 0.940729i \(0.610143\pi\)
\(308\) 0.363389 + 4.22727i 0.0207060 + 0.240871i
\(309\) 5.97160 0.339713
\(310\) 3.17722 30.2292i 0.180454 1.71690i
\(311\) −11.8544 13.1657i −0.672204 0.746558i 0.306492 0.951873i \(-0.400845\pi\)
−0.978696 + 0.205315i \(0.934178\pi\)
\(312\) −4.56183 0.969647i −0.258263 0.0548955i
\(313\) 11.9046 + 5.30028i 0.672889 + 0.299589i 0.714593 0.699541i \(-0.246612\pi\)
−0.0417040 + 0.999130i \(0.513279\pi\)
\(314\) −10.5685 + 7.67846i −0.596414 + 0.433320i
\(315\) −1.27558 10.9050i −0.0718709 0.614426i
\(316\) −0.193812 + 0.596491i −0.0109028 + 0.0335552i
\(317\) 1.71202 16.2888i 0.0961567 0.914870i −0.835000 0.550250i \(-0.814532\pi\)
0.931157 0.364620i \(-0.118801\pi\)
\(318\) 7.64569 13.2427i 0.428749 0.742615i
\(319\) 9.15452 + 0.281051i 0.512555 + 0.0157358i
\(320\) 10.8804 + 18.8453i 0.608231 + 1.05349i
\(321\) 3.08932 + 2.24453i 0.172429 + 0.125277i
\(322\) 2.02356 3.60177i 0.112768 0.200719i
\(323\) 7.08449 + 21.8038i 0.394191 + 1.21320i
\(324\) 0.441716 + 0.196665i 0.0245398 + 0.0109258i
\(325\) −2.49286 23.7180i −0.138279 1.31564i
\(326\) −3.97033 0.843920i −0.219896 0.0467404i
\(327\) −4.93475 + 1.04891i −0.272892 + 0.0580050i
\(328\) 20.2368 + 14.7029i 1.11739 + 0.811830i
\(329\) 10.4673 11.9029i 0.577083 0.656226i
\(330\) −2.92808 + 21.4913i −0.161185 + 1.18306i
\(331\) 1.64859 + 2.85543i 0.0906145 + 0.156949i 0.907770 0.419469i \(-0.137784\pi\)
−0.817155 + 0.576417i \(0.804450\pi\)
\(332\) −0.601877 + 0.267973i −0.0330323 + 0.0147069i
\(333\) −2.13405 2.37011i −0.116945 0.129881i
\(334\) 14.2262 15.7998i 0.778421 0.864525i
\(335\) 6.19616 4.50177i 0.338532 0.245958i
\(336\) −10.2169 7.24155i −0.557378 0.395059i
\(337\) 9.76850 + 30.0644i 0.532124 + 1.63771i 0.749782 + 0.661685i \(0.230158\pi\)
−0.217658 + 0.976025i \(0.569842\pi\)
\(338\) −14.1689 + 3.01169i −0.770685 + 0.163814i
\(339\) −14.0686 + 6.26376i −0.764104 + 0.340201i
\(340\) −4.55818 + 7.89500i −0.247202 + 0.428167i
\(341\) 1.14012 + 15.3730i 0.0617411 + 0.832493i
\(342\) 7.95202 0.429996
\(343\) −6.33890 17.4017i −0.342268 0.939602i
\(344\) 2.82893 8.70654i 0.152526 0.469425i
\(345\) 2.75131 3.05564i 0.148126 0.164510i
\(346\) 0.0836289 + 0.795676i 0.00449592 + 0.0427758i
\(347\) 3.50845 + 33.3806i 0.188343 + 1.79197i 0.525782 + 0.850619i \(0.323773\pi\)
−0.337439 + 0.941348i \(0.609561\pi\)
\(348\) 0.893445 0.992271i 0.0478937 0.0531913i
\(349\) 3.38656 10.4228i 0.181279 0.557918i −0.818586 0.574384i \(-0.805242\pi\)
0.999864 + 0.0164660i \(0.00524152\pi\)
\(350\) 15.1766 48.6418i 0.811223 2.60001i
\(351\) 1.95148 0.104162
\(352\) 5.74105 + 6.78364i 0.305999 + 0.361569i
\(353\) 15.1279 26.2023i 0.805177 1.39461i −0.110995 0.993821i \(-0.535404\pi\)
0.916172 0.400786i \(-0.131263\pi\)
\(354\) 9.46227 4.21288i 0.502914 0.223912i
\(355\) −16.7301 + 3.55608i −0.887939 + 0.188737i
\(356\) 2.33056 + 7.17273i 0.123520 + 0.380154i
\(357\) −1.11627 + 11.9688i −0.0590793 + 0.633456i
\(358\) −19.6303 + 14.2623i −1.03750 + 0.753785i
\(359\) 13.5342 15.0313i 0.714309 0.793320i −0.271276 0.962502i \(-0.587446\pi\)
0.985585 + 0.169181i \(0.0541123\pi\)
\(360\) −6.63603 7.37006i −0.349749 0.388436i
\(361\) 5.90308 2.62822i 0.310688 0.138327i
\(362\) −18.4526 31.9608i −0.969846 1.67982i
\(363\) −0.476562 10.9897i −0.0250130 0.576808i
\(364\) 2.44783 + 0.490382i 0.128301 + 0.0257030i
\(365\) −15.8192 11.4933i −0.828013 0.601587i
\(366\) −11.6520 + 2.47670i −0.609057 + 0.129459i
\(367\) −2.30627 0.490212i −0.120386 0.0255889i 0.147325 0.989088i \(-0.452934\pi\)
−0.267711 + 0.963499i \(0.586267\pi\)
\(368\) −0.490226 4.66419i −0.0255548 0.243138i
\(369\) −9.56187 4.25722i −0.497771 0.221622i
\(370\) −6.44521 19.8363i −0.335070 1.03124i
\(371\) 12.5745 22.3817i 0.652838 1.16200i
\(372\) 1.81812 + 1.32094i 0.0942653 + 0.0684877i
\(373\) 8.05587 + 13.9532i 0.417117 + 0.722468i 0.995648 0.0931924i \(-0.0297072\pi\)
−0.578531 + 0.815660i \(0.696374\pi\)
\(374\) 8.02788 22.3491i 0.415112 1.15564i
\(375\) 14.9824 25.9503i 0.773688 1.34007i
\(376\) 1.49659 14.2391i 0.0771809 0.734327i
\(377\) 1.66529 5.12524i 0.0857669 0.263963i
\(378\) 3.82864 + 1.65111i 0.196924 + 0.0849241i
\(379\) −22.4027 + 16.2765i −1.15075 + 0.836069i −0.988581 0.150694i \(-0.951849\pi\)
−0.162170 + 0.986763i \(0.551849\pi\)
\(380\) 9.24940 + 4.11810i 0.474484 + 0.211254i
\(381\) −15.3396 3.26053i −0.785871 0.167042i
\(382\) 24.7974 + 27.5403i 1.26875 + 1.40909i
\(383\) −1.59063 + 15.1339i −0.0812775 + 0.773304i 0.875644 + 0.482957i \(0.160437\pi\)
−0.956921 + 0.290347i \(0.906229\pi\)
\(384\) −13.6228 −0.695187
\(385\) −4.49251 + 36.1361i −0.228960 + 1.84167i
\(386\) −34.1186 −1.73659
\(387\) −0.400408 + 3.80963i −0.0203539 + 0.193654i
\(388\) −1.20308 1.33615i −0.0610771 0.0678330i
\(389\) 5.68142 + 1.20762i 0.288059 + 0.0612289i 0.349675 0.936871i \(-0.386292\pi\)
−0.0616157 + 0.998100i \(0.519625\pi\)
\(390\) 11.6588 + 5.19084i 0.590367 + 0.262848i
\(391\) −3.64202 + 2.64608i −0.184185 + 0.133818i
\(392\) −13.7608 9.51302i −0.695027 0.480480i
\(393\) 3.33236 10.2560i 0.168095 0.517345i
\(394\) −2.50532 + 23.8365i −0.126216 + 1.20087i
\(395\) −2.69142 + 4.66167i −0.135420 + 0.234554i
\(396\) −1.26784 0.981970i −0.0637115 0.0493458i
\(397\) 10.5158 + 18.2139i 0.527772 + 0.914127i 0.999476 + 0.0323706i \(0.0103057\pi\)
−0.471704 + 0.881757i \(0.656361\pi\)
\(398\) 16.8412 + 12.2359i 0.844174 + 0.613329i
\(399\) 13.3494 0.156511i 0.668308 0.00783535i
\(400\) −17.8748 55.0129i −0.893739 2.75065i
\(401\) −0.291963 0.129990i −0.0145800 0.00649141i 0.399434 0.916762i \(-0.369207\pi\)
−0.414014 + 0.910271i \(0.635873\pi\)
\(402\) 0.304023 + 2.89259i 0.0151633 + 0.144269i
\(403\) 8.87199 + 1.88580i 0.441945 + 0.0939383i
\(404\) 5.42892 1.15395i 0.270099 0.0574113i
\(405\) 3.35725 + 2.43919i 0.166823 + 0.121204i
\(406\) 7.60354 8.64631i 0.377357 0.429109i
\(407\) 5.00525 + 9.31852i 0.248101 + 0.461902i
\(408\) 5.42904 + 9.40337i 0.268777 + 0.465536i
\(409\) −8.94987 + 3.98474i −0.442543 + 0.197033i −0.615897 0.787827i \(-0.711206\pi\)
0.173354 + 0.984860i \(0.444539\pi\)
\(410\) −45.8019 50.8682i −2.26200 2.51220i
\(411\) −10.4237 + 11.5766i −0.514161 + 0.571034i
\(412\) −2.33594 + 1.69716i −0.115084 + 0.0836131i
\(413\) 15.8019 7.25859i 0.777558 0.357172i
\(414\) 0.482524 + 1.48506i 0.0237148 + 0.0729865i
\(415\) −5.53089 + 1.17563i −0.271501 + 0.0577093i
\(416\) 4.77694 2.12683i 0.234209 0.104276i
\(417\) −8.97129 + 15.5387i −0.439326 + 0.760935i
\(418\) −25.6171 6.27249i −1.25297 0.306797i
\(419\) −24.4796 −1.19591 −0.597953 0.801531i \(-0.704019\pi\)
−0.597953 + 0.801531i \(0.704019\pi\)
\(420\) 3.59822 + 3.90322i 0.175575 + 0.190458i
\(421\) −2.19524 + 6.75624i −0.106989 + 0.329279i −0.990192 0.139712i \(-0.955382\pi\)
0.883203 + 0.468991i \(0.155382\pi\)
\(422\) 12.8120 14.2292i 0.623678 0.692664i
\(423\) 0.626229 + 5.95817i 0.0304483 + 0.289696i
\(424\) −2.42392 23.0621i −0.117716 1.11999i
\(425\) −37.1529 + 41.2624i −1.80218 + 2.00152i
\(426\) 2.00716 6.17741i 0.0972473 0.299296i
\(427\) −19.5119 + 4.38709i −0.944249 + 0.212306i
\(428\) −1.84637 −0.0892477
\(429\) −6.28661 1.53931i −0.303521 0.0743186i
\(430\) −12.5256 + 21.6950i −0.604038 + 1.04623i
\(431\) −7.01206 + 3.12197i −0.337759 + 0.150380i −0.568606 0.822610i \(-0.692517\pi\)
0.230847 + 0.972990i \(0.425850\pi\)
\(432\) 4.62981 0.984097i 0.222752 0.0473474i
\(433\) 1.06654 + 3.28247i 0.0512547 + 0.157746i 0.973408 0.229080i \(-0.0735716\pi\)
−0.922153 + 0.386825i \(0.873572\pi\)
\(434\) 15.8105 + 11.2062i 0.758930 + 0.537915i
\(435\) 9.27103 6.73580i 0.444512 0.322957i
\(436\) 1.63224 1.81279i 0.0781702 0.0868168i
\(437\) 3.34547 + 3.71552i 0.160036 + 0.177738i
\(438\) 6.78365 3.02028i 0.324135 0.144314i
\(439\) −15.7554 27.2892i −0.751965 1.30244i −0.946869 0.321619i \(-0.895773\pi\)
0.194905 0.980822i \(-0.437560\pi\)
\(440\) 15.5643 + 28.9768i 0.741997 + 1.38141i
\(441\) 6.45981 + 2.69645i 0.307610 + 0.128402i
\(442\) −11.3041 8.21294i −0.537683 0.390650i
\(443\) 9.54727 2.02933i 0.453604 0.0964166i 0.0245567 0.999698i \(-0.492183\pi\)
0.429048 + 0.903282i \(0.358849\pi\)
\(444\) 1.50838 + 0.320617i 0.0715847 + 0.0152158i
\(445\) 6.76591 + 64.3733i 0.320735 + 3.05159i
\(446\) 13.9919 + 6.22957i 0.662533 + 0.294979i
\(447\) 1.20271 + 3.70157i 0.0568863 + 0.175078i
\(448\) −13.8729 + 0.162648i −0.655431 + 0.00768438i
\(449\) −13.4686 9.78552i −0.635623 0.461807i 0.222720 0.974882i \(-0.428506\pi\)
−0.858344 + 0.513075i \(0.828506\pi\)
\(450\) 9.62948 + 16.6788i 0.453938 + 0.786244i
\(451\) 27.4451 + 21.2568i 1.29234 + 1.00094i
\(452\) 3.72310 6.44860i 0.175120 0.303317i
\(453\) −0.169769 + 1.61524i −0.00797644 + 0.0758908i
\(454\) 9.53893 29.3578i 0.447684 1.37783i
\(455\) 19.6744 + 8.48464i 0.922349 + 0.397766i
\(456\) 9.75601 7.08816i 0.456867 0.331933i
\(457\) −11.6409 5.18288i −0.544541 0.242445i 0.115982 0.993251i \(-0.462999\pi\)
−0.660523 + 0.750806i \(0.729665\pi\)
\(458\) −5.01494 1.06596i −0.234333 0.0498090i
\(459\) −3.04014 3.37641i −0.141901 0.157597i
\(460\) −0.207815 + 1.97723i −0.00968943 + 0.0921887i
\(461\) 5.21592 0.242929 0.121465 0.992596i \(-0.461241\pi\)
0.121465 + 0.992596i \(0.461241\pi\)
\(462\) −11.0314 8.33899i −0.513228 0.387965i
\(463\) −10.6551 −0.495186 −0.247593 0.968864i \(-0.579640\pi\)
−0.247593 + 0.968864i \(0.579640\pi\)
\(464\) 1.36627 12.9992i 0.0634277 0.603474i
\(465\) 12.9059 + 14.3335i 0.598499 + 0.664700i
\(466\) 43.9320 + 9.33804i 2.03511 + 0.432576i
\(467\) −27.1213 12.0752i −1.25503 0.558773i −0.331915 0.943309i \(-0.607695\pi\)
−0.923110 + 0.384536i \(0.874361\pi\)
\(468\) −0.763369 + 0.554620i −0.0352868 + 0.0256373i
\(469\) 0.567310 + 4.84994i 0.0261959 + 0.223949i
\(470\) −12.1071 + 37.2619i −0.558460 + 1.71876i
\(471\) 0.866475 8.24396i 0.0399251 0.379862i
\(472\) 7.85367 13.6029i 0.361494 0.626126i
\(473\) 4.29490 11.9567i 0.197480 0.549771i
\(474\) −1.02209 1.77031i −0.0469460 0.0813129i
\(475\) 49.8885 + 36.2461i 2.28904 + 1.66309i
\(476\) −2.96493 4.99914i −0.135898 0.229135i
\(477\) 2.99844 + 9.22825i 0.137289 + 0.422533i
\(478\) −2.34757 1.04520i −0.107375 0.0478066i
\(479\) 2.30834 + 21.9624i 0.105471 + 1.00349i 0.911413 + 0.411493i \(0.134992\pi\)
−0.805942 + 0.591994i \(0.798341\pi\)
\(480\) 10.8764 + 2.31186i 0.496439 + 0.105521i
\(481\) 6.08783 1.29401i 0.277581 0.0590017i
\(482\) 6.96148 + 5.05781i 0.317087 + 0.230377i
\(483\) 0.839265 + 2.48354i 0.0381879 + 0.113005i
\(484\) 3.30974 + 4.16344i 0.150443 + 0.189247i
\(485\) −7.71555 13.3637i −0.350345 0.606815i
\(486\) −1.43967 + 0.640984i −0.0653049 + 0.0290756i
\(487\) −21.7035 24.1042i −0.983480 1.09227i −0.995727 0.0923406i \(-0.970565\pi\)
0.0122472 0.999925i \(-0.496102\pi\)
\(488\) −12.0877 + 13.4247i −0.547183 + 0.607708i
\(489\) 2.08375 1.51394i 0.0942306 0.0684626i
\(490\) 31.4207 + 33.2923i 1.41944 + 1.50399i
\(491\) −1.64832 5.07301i −0.0743877 0.228942i 0.906949 0.421241i \(-0.138405\pi\)
−0.981336 + 0.192300i \(0.938405\pi\)
\(492\) 4.95028 1.05222i 0.223176 0.0474375i
\(493\) −11.4619 + 5.10316i −0.516217 + 0.229835i
\(494\) −7.75911 + 13.4392i −0.349099 + 0.604657i
\(495\) −8.89125 10.5059i −0.399632 0.472206i
\(496\) 21.9994 0.987804
\(497\) 3.24794 10.4098i 0.145690 0.466944i
\(498\) 0.663560 2.04223i 0.0297348 0.0915144i
\(499\) −24.9790 + 27.7420i −1.11821 + 1.24190i −0.150837 + 0.988559i \(0.548197\pi\)
−0.967377 + 0.253343i \(0.918470\pi\)
\(500\) 1.51446 + 14.4092i 0.0677289 + 0.644397i
\(501\) 1.41019 + 13.4171i 0.0630027 + 0.599431i
\(502\) −20.7221 + 23.0142i −0.924873 + 1.02718i
\(503\) −1.78265 + 5.48642i −0.0794843 + 0.244627i −0.982901 0.184137i \(-0.941051\pi\)
0.903416 + 0.428764i \(0.141051\pi\)
\(504\) 6.16894 1.38703i 0.274787 0.0617833i
\(505\) 47.6346 2.11971
\(506\) −0.383032 5.16466i −0.0170279 0.229597i
\(507\) 4.59586 7.96027i 0.204109 0.353528i
\(508\) 6.92712 3.08415i 0.307341 0.136837i
\(509\) −3.26996 + 0.695052i −0.144938 + 0.0308076i −0.279810 0.960056i \(-0.590271\pi\)
0.134871 + 0.990863i \(0.456938\pi\)
\(510\) −9.18173 28.2585i −0.406574 1.25131i
\(511\) 11.3286 5.20380i 0.501147 0.230202i
\(512\) −8.04222 + 5.84302i −0.355419 + 0.258227i
\(513\) −3.37641 + 3.74988i −0.149072 + 0.165561i
\(514\) 10.5501 + 11.7171i 0.465347 + 0.516820i
\(515\) −22.6385 + 10.0793i −0.997572 + 0.444147i
\(516\) −0.926087 1.60403i −0.0407687 0.0706135i
\(517\) 2.68238 19.6880i 0.117971 0.865876i
\(518\) 13.0386 + 2.61207i 0.572885 + 0.114768i
\(519\) −0.410720 0.298405i −0.0180286 0.0130985i
\(520\) 18.9307 4.02384i 0.830164 0.176457i
\(521\) −9.51115 2.02166i −0.416691 0.0885704i −0.00520499 0.999986i \(-0.501657\pi\)
−0.411486 + 0.911416i \(0.634990\pi\)
\(522\) 0.454896 + 4.32805i 0.0199103 + 0.189433i
\(523\) 10.4166 + 4.63776i 0.455485 + 0.202795i 0.621637 0.783305i \(-0.286468\pi\)
−0.166153 + 0.986100i \(0.553134\pi\)
\(524\) 1.61126 + 4.95895i 0.0703882 + 0.216633i
\(525\) 16.4937 + 27.8099i 0.719846 + 1.21372i
\(526\) −8.51461 6.18622i −0.371254 0.269732i
\(527\) −10.5586 18.2880i −0.459938 0.796636i
\(528\) −15.6910 0.481727i −0.682864 0.0209645i
\(529\) 11.0091 19.0684i 0.478657 0.829059i
\(530\) −6.63297 + 63.1085i −0.288118 + 2.74126i
\(531\) −2.03102 + 6.25083i −0.0881387 + 0.271263i
\(532\) −5.17748 + 3.85520i −0.224472 + 0.167144i
\(533\) 16.5247 12.0059i 0.715765 0.520034i
\(534\) −22.4558 9.99798i −0.971758 0.432655i
\(535\) −15.5002 3.29467i −0.670131 0.142441i
\(536\) 2.95135 + 3.27780i 0.127479 + 0.141579i
\(537\) 1.60943 15.3127i 0.0694519 0.660790i
\(538\) −43.4632 −1.87383
\(539\) −18.6831 13.7819i −0.804738 0.593630i
\(540\) −2.00650 −0.0863461
\(541\) −1.25117 + 11.9041i −0.0537921 + 0.511798i 0.934140 + 0.356908i \(0.116169\pi\)
−0.987932 + 0.154890i \(0.950498\pi\)
\(542\) −4.57274 5.07854i −0.196416 0.218142i
\(543\) 22.9064 + 4.86892i 0.983010 + 0.208945i
\(544\) −11.1216 4.95166i −0.476835 0.212301i
\(545\) 16.9373 12.3057i 0.725515 0.527118i
\(546\) −6.52618 + 4.85946i −0.279295 + 0.207966i
\(547\) 0.385883 1.18762i 0.0164991 0.0507791i −0.942468 0.334296i \(-0.891501\pi\)
0.958967 + 0.283517i \(0.0915013\pi\)
\(548\) 0.787330 7.49095i 0.0336331 0.319997i
\(549\) 3.77947 6.54623i 0.161304 0.279386i
\(550\) −17.8649 61.3256i −0.761764 2.61493i
\(551\) 6.96719 + 12.0675i 0.296812 + 0.514094i
\(552\) 1.91572 + 1.39185i 0.0815383 + 0.0592410i
\(553\) −1.75067 2.95178i −0.0744461 0.125523i
\(554\) 3.72475 + 11.4636i 0.158249 + 0.487041i
\(555\) 12.0907 + 5.38312i 0.513221 + 0.228501i
\(556\) −0.906844 8.62805i −0.0384588 0.365911i
\(557\) −1.32432 0.281493i −0.0561132 0.0119272i 0.179770 0.983709i \(-0.442465\pi\)
−0.235883 + 0.971782i \(0.575798\pi\)
\(558\) −7.16458 + 1.52288i −0.303301 + 0.0644686i
\(559\) −6.04770 4.39391i −0.255790 0.185843i
\(560\) 50.9554 + 10.2081i 2.15326 + 0.431369i
\(561\) 7.13039 + 13.2750i 0.301045 + 0.560471i
\(562\) −9.24895 16.0197i −0.390143 0.675748i
\(563\) 23.9020 10.6419i 1.00735 0.448501i 0.164342 0.986403i \(-0.447450\pi\)
0.843007 + 0.537903i \(0.180783\pi\)
\(564\) −1.93831 2.15271i −0.0816174 0.0906453i
\(565\) 42.7621 47.4922i 1.79902 1.99801i
\(566\) −9.64381 + 7.00664i −0.405360 + 0.294511i
\(567\) −2.40423 + 1.10439i −0.100968 + 0.0463798i
\(568\) −3.04382 9.36793i −0.127716 0.393070i
\(569\) −10.4810 + 2.22781i −0.439388 + 0.0933948i −0.422294 0.906459i \(-0.638775\pi\)
−0.0170943 + 0.999854i \(0.505442\pi\)
\(570\) −30.1463 + 13.4220i −1.26269 + 0.562186i
\(571\) −0.748830 + 1.29701i −0.0313376 + 0.0542783i −0.881269 0.472615i \(-0.843310\pi\)
0.849931 + 0.526894i \(0.176643\pi\)
\(572\) 2.89664 1.18455i 0.121115 0.0495285i
\(573\) −23.5159 −0.982391
\(574\) 42.5781 9.57330i 1.77718 0.399582i
\(575\) −3.74183 + 11.5162i −0.156045 + 0.480258i
\(576\) 3.50879 3.89691i 0.146200 0.162371i
\(577\) −2.72972 25.9716i −0.113640 1.08121i −0.891577 0.452869i \(-0.850400\pi\)
0.777937 0.628342i \(-0.216266\pi\)
\(578\) 0.600037 + 5.70897i 0.0249582 + 0.237462i
\(579\) 14.4867 16.0891i 0.602046 0.668640i
\(580\) −1.71225 + 5.26975i −0.0710971 + 0.218814i
\(581\) 1.07376 3.44145i 0.0445469 0.142775i
\(582\) 5.86008 0.242908
\(583\) −2.38019 32.0936i −0.0985775 1.32918i
\(584\) 5.63041 9.75216i 0.232988 0.403547i
\(585\) −7.39811 + 3.29385i −0.305874 + 0.136184i
\(586\) 23.4045 4.97478i 0.966830 0.205506i
\(587\) −6.81855 20.9853i −0.281432 0.866158i −0.987446 0.157960i \(-0.949508\pi\)
0.706014 0.708198i \(-0.250492\pi\)
\(588\) −3.29326 + 0.781130i −0.135812 + 0.0322132i
\(589\) −18.9738 + 13.7853i −0.781801 + 0.568012i
\(590\) −28.7609 + 31.9422i −1.18407 + 1.31504i
\(591\) −10.1767 11.3023i −0.418612 0.464916i
\(592\) 13.7906 6.13998i 0.566791 0.252351i
\(593\) −5.52727 9.57352i −0.226978 0.393137i 0.729933 0.683519i \(-0.239551\pi\)
−0.956911 + 0.290381i \(0.906218\pi\)
\(594\) 5.14345 0.929302i 0.211038 0.0381297i
\(595\) −15.9700 47.2581i −0.654706 1.93739i
\(596\) −1.52247 1.10614i −0.0623630 0.0453094i
\(597\) −12.9207 + 2.74638i −0.528810 + 0.112402i
\(598\) −2.98061 0.633548i −0.121886 0.0259077i
\(599\) 0.249776 + 2.37646i 0.0102056 + 0.0970997i 0.998439 0.0558540i \(-0.0177881\pi\)
−0.988233 + 0.152954i \(0.951121\pi\)
\(600\) 26.6809 + 11.8791i 1.08924 + 0.484962i
\(601\) 5.39235 + 16.5959i 0.219959 + 0.676963i 0.998764 + 0.0496976i \(0.0158257\pi\)
−0.778806 + 0.627265i \(0.784174\pi\)
\(602\) −8.14746 13.7373i −0.332066 0.559892i
\(603\) −1.49312 1.08482i −0.0608047 0.0441772i
\(604\) −0.392651 0.680092i −0.0159768 0.0276725i
\(605\) 20.3558 + 40.8577i 0.827582 + 1.66110i
\(606\) −9.04481 + 15.6661i −0.367420 + 0.636391i
\(607\) −5.06550 + 48.1950i −0.205602 + 1.95618i 0.0772501 + 0.997012i \(0.475386\pi\)
−0.282852 + 0.959163i \(0.591281\pi\)
\(608\) −4.17813 + 12.8589i −0.169445 + 0.521499i
\(609\) 0.848840 + 7.25675i 0.0343967 + 0.294058i
\(610\) 39.9925 29.0562i 1.61925 1.17645i
\(611\) −10.6805 4.75528i −0.432088 0.192378i
\(612\) 2.14882 + 0.456745i 0.0868608 + 0.0184628i
\(613\) 3.32277 + 3.69031i 0.134205 + 0.149050i 0.806501 0.591232i \(-0.201358\pi\)
−0.672296 + 0.740283i \(0.734692\pi\)
\(614\) −1.95782 + 18.6274i −0.0790112 + 0.751741i
\(615\) 43.4349 1.75147
\(616\) −20.9671 0.397742i −0.844788 0.0160255i
\(617\) −22.2393 −0.895322 −0.447661 0.894203i \(-0.647743\pi\)
−0.447661 + 0.894203i \(0.647743\pi\)
\(618\) 0.983692 9.35921i 0.0395699 0.376482i
\(619\) −19.5873 21.7539i −0.787281 0.874364i 0.207305 0.978276i \(-0.433531\pi\)
−0.994587 + 0.103912i \(0.966864\pi\)
\(620\) −9.12213 1.93897i −0.366354 0.0778709i
\(621\) −0.905176 0.403010i −0.0363235 0.0161722i
\(622\) −22.5872 + 16.4105i −0.905663 + 0.658003i
\(623\) −37.8944 16.3421i −1.51821 0.654733i
\(624\) −2.85434 + 8.78475i −0.114265 + 0.351672i
\(625\) −6.61077 + 62.8973i −0.264431 + 2.51589i
\(626\) 10.2681 17.7848i 0.410395 0.710825i
\(627\) 13.8348 9.41681i 0.552510 0.376071i
\(628\) 2.00403 + 3.47109i 0.0799696 + 0.138511i
\(629\) −11.7229 8.51716i −0.467421 0.339602i
\(630\) −17.3013 + 0.202844i −0.689301 + 0.00808148i
\(631\) 10.5313 + 32.4119i 0.419243 + 1.29030i 0.908401 + 0.418101i \(0.137304\pi\)
−0.489158 + 0.872195i \(0.662696\pi\)
\(632\) −2.83195 1.26086i −0.112649 0.0501545i
\(633\) 1.27001 + 12.0833i 0.0504783 + 0.480269i
\(634\) −25.2472 5.36645i −1.00269 0.213129i
\(635\) 63.6562 13.5305i 2.52612 0.536943i
\(636\) −3.79563 2.75769i −0.150507 0.109349i
\(637\) −10.8602 + 8.28625i −0.430296 + 0.328313i
\(638\) 1.94850 14.3015i 0.0771417 0.566200i
\(639\) 2.06080 + 3.56941i 0.0815241 + 0.141204i
\(640\) 51.6445 22.9936i 2.04143 0.908902i
\(641\) 18.8848 + 20.9737i 0.745906 + 0.828413i 0.989960 0.141349i \(-0.0451439\pi\)
−0.244053 + 0.969762i \(0.578477\pi\)
\(642\) 4.02671 4.47212i 0.158922 0.176500i
\(643\) −4.28751 + 3.11506i −0.169083 + 0.122846i −0.669109 0.743165i \(-0.733324\pi\)
0.500026 + 0.866011i \(0.333324\pi\)
\(644\) −1.03413 0.732974i −0.0407506 0.0288832i
\(645\) −4.91222 15.1182i −0.193418 0.595280i
\(646\) 35.3398 7.51171i 1.39043 0.295544i
\(647\) 21.1339 9.40942i 0.830860 0.369923i 0.0531813 0.998585i \(-0.483064\pi\)
0.777678 + 0.628662i \(0.216397\pi\)
\(648\) −1.19493 + 2.06967i −0.0469411 + 0.0813044i
\(649\) 11.4735 18.5348i 0.450372 0.727553i
\(650\) −37.5835 −1.47415
\(651\) −11.9975 + 2.69754i −0.470221 + 0.105725i
\(652\) −0.384844 + 1.18443i −0.0150716 + 0.0463857i
\(653\) −3.44677 + 3.82803i −0.134883 + 0.149802i −0.806802 0.590822i \(-0.798803\pi\)
0.671919 + 0.740624i \(0.265470\pi\)
\(654\) 0.831053 + 7.90694i 0.0324968 + 0.309186i
\(655\) 4.67769 + 44.5052i 0.182772 + 1.73896i
\(656\) 33.1499 36.8167i 1.29429 1.43745i
\(657\) −1.45607 + 4.48132i −0.0568067 + 0.174833i
\(658\) −16.9309 18.3661i −0.660036 0.715983i
\(659\) −3.97856 −0.154983 −0.0774913 0.996993i \(-0.524691\pi\)
−0.0774913 + 0.996993i \(0.524691\pi\)
\(660\) 6.46387 + 1.58271i 0.251606 + 0.0616070i
\(661\) −9.08125 + 15.7292i −0.353220 + 0.611794i −0.986812 0.161873i \(-0.948246\pi\)
0.633592 + 0.773667i \(0.281580\pi\)
\(662\) 4.74685 2.11343i 0.184492 0.0821409i
\(663\) 8.67262 1.84342i 0.336817 0.0715926i
\(664\) −1.00628 3.09700i −0.0390511 0.120187i
\(665\) −50.3439 + 23.1255i −1.95225 + 0.896769i
\(666\) −4.06617 + 2.95425i −0.157561 + 0.114475i
\(667\) −1.83087 + 2.03339i −0.0708916 + 0.0787331i
\(668\) −4.36483 4.84764i −0.168880 0.187561i
\(669\) −8.87854 + 3.95298i −0.343264 + 0.152831i
\(670\) −6.03488 10.4527i −0.233148 0.403824i
\(671\) −17.3390 + 18.1072i −0.669365 + 0.699021i
\(672\) −4.68159 + 5.32364i −0.180596 + 0.205364i
\(673\) −8.98748 6.52978i −0.346442 0.251705i 0.400933 0.916107i \(-0.368686\pi\)
−0.747375 + 0.664403i \(0.768686\pi\)
\(674\) 48.7286 10.3576i 1.87695 0.398959i
\(675\) −11.9537 2.54085i −0.460100 0.0977972i
\(676\) 0.464563 + 4.42002i 0.0178678 + 0.170001i
\(677\) 18.8635 + 8.39856i 0.724982 + 0.322783i 0.735837 0.677158i \(-0.236789\pi\)
−0.0108552 + 0.999941i \(0.503455\pi\)
\(678\) 7.49960 + 23.0814i 0.288020 + 0.886435i
\(679\) 9.83760 0.115338i 0.377533 0.00442625i
\(680\) −36.4533 26.4849i −1.39792 1.01565i
\(681\) 9.79385 + 16.9635i 0.375301 + 0.650041i
\(682\) 24.2816 + 0.745466i 0.929792 + 0.0285454i
\(683\) 11.4215 19.7826i 0.437032 0.756961i −0.560427 0.828204i \(-0.689363\pi\)
0.997459 + 0.0712425i \(0.0226964\pi\)
\(684\) 0.255030 2.42645i 0.00975132 0.0927776i
\(685\) 19.9764 61.4812i 0.763261 2.34907i
\(686\) −28.3176 + 7.06832i −1.08117 + 0.269870i
\(687\) 2.63200 1.91226i 0.100417 0.0729572i
\(688\) −16.5637 7.37464i −0.631486 0.281156i
\(689\) −18.5217 3.93692i −0.705622 0.149985i
\(690\) −4.33585 4.81545i −0.165063 0.183321i
\(691\) −1.86223 + 17.7179i −0.0708426 + 0.674022i 0.900259 + 0.435355i \(0.143377\pi\)
−0.971101 + 0.238667i \(0.923289\pi\)
\(692\) 0.245472 0.00933143
\(693\) 8.61627 1.66130i 0.327305 0.0631074i
\(694\) 52.8949 2.00786
\(695\) 7.78298 74.0501i 0.295225 2.80888i
\(696\) 4.41596 + 4.90443i 0.167387 + 0.185902i
\(697\) −46.5156 9.88720i −1.76191 0.374505i
\(698\) −15.7776 7.02464i −0.597191 0.265887i
\(699\) −23.0569 + 16.7518i −0.872092 + 0.633612i
\(700\) −14.3556 6.19092i −0.542593 0.233995i
\(701\) 11.2347 34.5768i 0.424328 1.30595i −0.479308 0.877647i \(-0.659112\pi\)
0.903636 0.428301i \(-0.140888\pi\)
\(702\) 0.321464 3.05853i 0.0121329 0.115437i
\(703\) −8.04652 + 13.9370i −0.303480 + 0.525643i
\(704\) −14.3773 + 9.78603i −0.541864 + 0.368825i
\(705\) −12.4307 21.5306i −0.468167 0.810888i
\(706\) −38.5745 28.0260i −1.45177 1.05477i
\(707\) −14.8756 + 26.4774i −0.559455 + 0.995786i
\(708\) −0.982035 3.02239i −0.0369071 0.113589i
\(709\) −17.9367 7.98595i −0.673628 0.299919i 0.0412691 0.999148i \(-0.486860\pi\)
−0.714897 + 0.699229i \(0.753527\pi\)
\(710\) 2.81748 + 26.8066i 0.105738 + 1.00603i
\(711\) 1.26879 + 0.269689i 0.0475832 + 0.0101141i
\(712\) −36.4620 + 7.75023i −1.36647 + 0.290452i
\(713\) −3.72574 2.70691i −0.139530 0.101375i
\(714\) 18.5746 + 3.72111i 0.695138 + 0.139259i
\(715\) 26.4309 4.77544i 0.988459 0.178591i
\(716\) 3.72237 + 6.44733i 0.139112 + 0.240948i
\(717\) 1.48965 0.663235i 0.0556320 0.0247690i
\(718\) −21.3288 23.6881i −0.795985 0.884031i
\(719\) 19.2474 21.3764i 0.717806 0.797204i −0.268298 0.963336i \(-0.586461\pi\)
0.986104 + 0.166132i \(0.0531277\pi\)
\(720\) −15.8907 + 11.5453i −0.592212 + 0.430267i
\(721\) 1.46716 15.7311i 0.0546400 0.585857i
\(722\) −3.14677 9.68475i −0.117111 0.360429i
\(723\) −5.34090 + 1.13524i −0.198630 + 0.0422202i
\(724\) −10.3442 + 4.60553i −0.384439 + 0.171163i
\(725\) −16.8738 + 29.2263i −0.626678 + 1.08544i
\(726\) −17.3025 1.06340i −0.642154 0.0394665i
\(727\) 37.1335 1.37721 0.688603 0.725139i \(-0.258224\pi\)
0.688603 + 0.725139i \(0.258224\pi\)
\(728\) −3.67516 + 11.7791i −0.136210 + 0.436562i
\(729\) 0.309017 0.951057i 0.0114451 0.0352243i
\(730\) −20.6191 + 22.8999i −0.763149 + 0.847563i
\(731\) 1.81922 + 17.3087i 0.0672863 + 0.640186i
\(732\) 0.382039 + 3.63486i 0.0141206 + 0.134348i
\(733\) 18.8654 20.9521i 0.696809 0.773884i −0.286056 0.958213i \(-0.592344\pi\)
0.982865 + 0.184328i \(0.0590110\pi\)
\(734\) −1.14821 + 3.53383i −0.0423812 + 0.130436i
\(735\) −29.0406 + 0.681047i −1.07118 + 0.0251208i
\(736\) −2.65496 −0.0978631
\(737\) 3.95435 + 4.67246i 0.145660 + 0.172112i
\(738\) −8.24739 + 14.2849i −0.303590 + 0.525834i
\(739\) −7.45806 + 3.32054i −0.274349 + 0.122148i −0.539300 0.842114i \(-0.681311\pi\)
0.264951 + 0.964262i \(0.414644\pi\)
\(740\) −6.25948 + 1.33049i −0.230103 + 0.0489099i
\(741\) −3.04292 9.36514i −0.111784 0.344037i
\(742\) −33.0071 23.3948i −1.21173 0.858850i
\(743\) 19.2134 13.9593i 0.704871 0.512119i −0.176644 0.984275i \(-0.556524\pi\)
0.881515 + 0.472156i \(0.156524\pi\)
\(744\) −7.43249 + 8.25461i −0.272488 + 0.302629i
\(745\) −10.8073 12.0027i −0.395948 0.439745i
\(746\) 23.1956 10.3274i 0.849252 0.378112i
\(747\) 0.681293 + 1.18003i 0.0249272 + 0.0431752i
\(748\) −6.56205 3.16636i −0.239932 0.115773i
\(749\) 6.67181 7.58681i 0.243783 0.277216i
\(750\) −38.2035 27.7564i −1.39499 1.01352i
\(751\) 42.3913 9.01055i 1.54688 0.328800i 0.646162 0.763201i \(-0.276373\pi\)
0.900720 + 0.434401i \(0.143040\pi\)
\(752\) −27.7372 5.89572i −1.01147 0.214995i
\(753\) −2.05411 19.5436i −0.0748560 0.712207i
\(754\) −7.75839 3.45426i −0.282544 0.125797i
\(755\) −2.08273 6.40998i −0.0757983 0.233283i
\(756\) 0.626603 1.11530i 0.0227893 0.0405632i
\(757\) 23.5693 + 17.1241i 0.856643 + 0.622387i 0.926969 0.375137i \(-0.122404\pi\)
−0.0703269 + 0.997524i \(0.522404\pi\)
\(758\) 21.8196 + 37.7927i 0.792524 + 1.37269i
\(759\) 2.59810 + 2.01228i 0.0943050 + 0.0730410i
\(760\) −25.0214 + 43.3383i −0.907621 + 1.57205i
\(761\) 2.58653 24.6092i 0.0937616 0.892082i −0.842007 0.539467i \(-0.818626\pi\)
0.935769 0.352615i \(-0.114707\pi\)
\(762\) −7.63705 + 23.5044i −0.276661 + 0.851475i
\(763\) 1.55075 + 13.2574i 0.0561410 + 0.479950i
\(764\) 9.19883 6.68334i 0.332802 0.241795i
\(765\) 17.2242 + 7.66870i 0.622742 + 0.277263i
\(766\) 23.4570 + 4.98595i 0.847538 + 0.180150i
\(767\) −8.58236 9.53167i −0.309891 0.344169i
\(768\) −1.14781 + 10.9207i −0.0414181 + 0.394067i
\(769\) −38.7769 −1.39833 −0.699165 0.714960i \(-0.746445\pi\)
−0.699165 + 0.714960i \(0.746445\pi\)
\(770\) 55.8955 + 12.9937i 2.01434 + 0.468260i
\(771\) −10.0049 −0.360319
\(772\) −1.09422 + 10.4108i −0.0393819 + 0.374694i
\(773\) 9.32270 + 10.3539i 0.335314 + 0.372404i 0.887097 0.461584i \(-0.152719\pi\)
−0.551782 + 0.833988i \(0.686052\pi\)
\(774\) 5.90482 + 1.25511i 0.212244 + 0.0451139i
\(775\) −51.8898 23.1028i −1.86394 0.829878i
\(776\) 7.18950 5.22348i 0.258088 0.187512i
\(777\) −6.76793 + 5.03946i −0.242798 + 0.180790i
\(778\) 2.82858 8.70547i 0.101409 0.312106i
\(779\) −5.52066 + 52.5256i −0.197798 + 1.88192i
\(780\) 1.95782 3.39105i 0.0701014 0.121419i
\(781\) −3.82327 13.1243i −0.136807 0.469623i
\(782\) 3.54722 + 6.14397i 0.126848 + 0.219708i
\(783\) −2.23409 1.62316i −0.0798400 0.0580072i
\(784\) −21.5868 + 25.1354i −0.770955 + 0.897694i
\(785\) 10.6299 + 32.7156i 0.379398 + 1.16767i
\(786\) −15.5251 6.91221i −0.553761 0.246550i
\(787\) −2.79628 26.6048i −0.0996765 0.948358i −0.924040 0.382297i \(-0.875133\pi\)
0.824363 0.566061i \(-0.191533\pi\)
\(788\) 7.19303 + 1.52893i 0.256241 + 0.0544657i
\(789\) 6.53247 1.38852i 0.232562 0.0494326i
\(790\) 6.86281 + 4.98613i 0.244168 + 0.177398i
\(791\) 13.0442 + 38.6002i 0.463799 + 1.37247i
\(792\) 5.48194 5.72482i 0.194792 0.203423i
\(793\) 7.37555 + 12.7748i 0.261914 + 0.453648i
\(794\) 30.2786 13.4809i 1.07455 0.478419i
\(795\) −26.9433 29.9236i −0.955580 1.06128i
\(796\) 4.27372 4.74645i 0.151478 0.168233i
\(797\) 11.9802 8.70412i 0.424360 0.308316i −0.355029 0.934855i \(-0.615529\pi\)
0.779390 + 0.626539i \(0.215529\pi\)
\(798\) 1.95373 20.9482i 0.0691614 0.741557i
\(799\) 8.41129 + 25.8873i 0.297570 + 0.915827i
\(800\) −32.0301 + 6.80822i −1.13244 + 0.240707i
\(801\) 14.2494 6.34422i 0.503476 0.224162i
\(802\) −0.251827 + 0.436177i −0.00889231 + 0.0154019i
\(803\) 8.22549 13.2879i 0.290271 0.468918i
\(804\) 0.892383 0.0314719
\(805\) −7.37357 7.99858i −0.259884 0.281913i
\(806\) 4.41705 13.5943i 0.155584 0.478838i
\(807\) 18.4543 20.4956i 0.649624 0.721480i
\(808\) 2.86749 + 27.2823i 0.100878 + 0.959788i
\(809\) 0.429971 + 4.09091i 0.0151170 + 0.143829i 0.999477 0.0323405i \(-0.0102961\pi\)
−0.984360 + 0.176169i \(0.943629\pi\)
\(810\) 4.37594 4.85997i 0.153755 0.170762i
\(811\) 8.54601 26.3019i 0.300091 0.923585i −0.681373 0.731936i \(-0.738617\pi\)
0.981464 0.191648i \(-0.0613832\pi\)
\(812\) −2.39445 2.59741i −0.0840287 0.0911513i
\(813\) 4.33643 0.152085
\(814\) 15.4293 6.30963i 0.540796 0.221152i
\(815\) −5.34423 + 9.25648i −0.187200 + 0.324241i
\(816\) 19.6459 8.74691i 0.687743 0.306203i
\(817\) 18.9067 4.01875i 0.661463 0.140598i
\(818\) 4.77093 + 14.6834i 0.166812 + 0.513393i
\(819\) 0.479459 5.14082i 0.0167537 0.179635i
\(820\) −16.9906 + 12.3444i −0.593339 + 0.431086i
\(821\) 15.0925 16.7620i 0.526733 0.584996i −0.419795 0.907619i \(-0.637898\pi\)
0.946528 + 0.322623i \(0.104565\pi\)
\(822\) 16.4268 + 18.2438i 0.572952 + 0.636327i
\(823\) 41.4162 18.4397i 1.44368 0.642767i 0.472545 0.881307i \(-0.343335\pi\)
0.971133 + 0.238540i \(0.0766688\pi\)
\(824\) −7.13562 12.3593i −0.248581 0.430555i
\(825\) 36.5043 + 17.6142i 1.27092 + 0.613249i
\(826\) −8.77327 25.9617i −0.305261 0.903323i
\(827\) 22.1062 + 16.0611i 0.768708 + 0.558499i 0.901569 0.432636i \(-0.142416\pi\)
−0.132861 + 0.991135i \(0.542416\pi\)
\(828\) 0.468619 0.0996081i 0.0162857 0.00346162i
\(829\) 21.4477 + 4.55884i 0.744908 + 0.158335i 0.564703 0.825294i \(-0.308991\pi\)
0.180205 + 0.983629i \(0.442324\pi\)
\(830\) 0.931449 + 8.86214i 0.0323311 + 0.307609i
\(831\) −6.98732 3.11096i −0.242387 0.107918i
\(832\) 3.16223 + 9.73234i 0.109631 + 0.337408i
\(833\) 31.2554 + 5.88123i 1.08293 + 0.203773i
\(834\) 22.8758 + 16.6202i 0.792124 + 0.575512i
\(835\) −27.9924 48.4842i −0.968717 1.67787i
\(836\) −2.73553 + 7.61555i −0.0946104 + 0.263389i
\(837\) 2.32393 4.02516i 0.0803267 0.139130i
\(838\) −4.03248 + 38.3665i −0.139300 + 1.32535i
\(839\) 6.51321 20.0456i 0.224861 0.692051i −0.773445 0.633864i \(-0.781468\pi\)
0.998306 0.0581871i \(-0.0185320\pi\)
\(840\) −21.0455 + 15.6707i −0.726138 + 0.540689i
\(841\) 17.2921 12.5634i 0.596278 0.433221i
\(842\) 10.2273 + 4.55350i 0.352457 + 0.156924i
\(843\) 11.4814 + 2.44044i 0.395439 + 0.0840531i
\(844\) −3.93094 4.36575i −0.135308 0.150275i
\(845\) −3.98711 + 37.9348i −0.137161 + 1.30500i
\(846\) 9.44131 0.324599
\(847\) −29.0674 1.44464i −0.998767 0.0496383i
\(848\) −45.9274 −1.57715
\(849\) 0.790664 7.52266i 0.0271355 0.258177i
\(850\) 58.5499 + 65.0262i 2.00824 + 2.23038i
\(851\) −3.09102 0.657016i −0.105959 0.0225222i
\(852\) −1.82058 0.810574i −0.0623720 0.0277698i
\(853\) −6.49921 + 4.72195i −0.222529 + 0.161677i −0.693464 0.720491i \(-0.743916\pi\)
0.470935 + 0.882168i \(0.343916\pi\)
\(854\) 3.66164 + 31.3035i 0.125299 + 1.07118i
\(855\) 6.47072 19.9148i 0.221294 0.681073i
\(856\) 0.953918 9.07593i 0.0326043 0.310209i
\(857\) 1.46402 2.53576i 0.0500099 0.0866198i −0.839937 0.542684i \(-0.817408\pi\)
0.889947 + 0.456064i \(0.150741\pi\)
\(858\) −3.44812 + 9.59935i −0.117717 + 0.327716i
\(859\) −12.8540 22.2638i −0.438572 0.759629i 0.559007 0.829163i \(-0.311182\pi\)
−0.997580 + 0.0695333i \(0.977849\pi\)
\(860\) 6.21822 + 4.51780i 0.212039 + 0.154056i
\(861\) −13.5641 + 24.1431i −0.462264 + 0.822793i
\(862\) 3.73793 + 11.5042i 0.127314 + 0.391834i
\(863\) 1.42860 + 0.636052i 0.0486300 + 0.0216515i 0.430908 0.902396i \(-0.358194\pi\)
−0.382278 + 0.924048i \(0.624860\pi\)
\(864\) −0.280085 2.66483i −0.00952868 0.0906594i
\(865\) 2.06072 + 0.438020i 0.0700666 + 0.0148931i
\(866\) 5.32026 1.13086i 0.180790 0.0384281i
\(867\) −2.94691 2.14106i −0.100082 0.0727141i
\(868\) 3.92648 4.46497i 0.133273 0.151551i
\(869\) −3.87462 1.86960i −0.131437 0.0634219i
\(870\) −9.02972 15.6399i −0.306136 0.530243i
\(871\) 3.29028 1.46493i 0.111487 0.0496371i
\(872\) 8.06756 + 8.95994i 0.273202 + 0.303422i
\(873\) −2.48818 + 2.76340i −0.0842120 + 0.0935269i
\(874\) 6.37438 4.63126i 0.215617 0.156655i
\(875\) −64.6803 45.8441i −2.18659 1.54981i
\(876\) −0.704036 2.16680i −0.0237872 0.0732094i
\(877\) −53.0728 + 11.2810i −1.79214 + 0.380931i −0.979438 0.201747i \(-0.935338\pi\)
−0.812703 + 0.582678i \(0.802005\pi\)
\(878\) −45.3653 + 20.1979i −1.53100 + 0.681647i
\(879\) −7.59156 + 13.1490i −0.256057 + 0.443504i
\(880\) 60.2981 24.6582i 2.03265 0.831228i
\(881\) 44.2360 1.49035 0.745174 0.666870i \(-0.232366\pi\)
0.745174 + 0.666870i \(0.232366\pi\)
\(882\) 5.29022 9.68019i 0.178131 0.325949i
\(883\) 11.4908 35.3652i 0.386698 1.19013i −0.548543 0.836122i \(-0.684817\pi\)
0.935241 0.354011i \(-0.115183\pi\)
\(884\) −2.86860 + 3.18590i −0.0964815 + 0.107154i
\(885\) −2.85097 27.1252i −0.0958343 0.911803i
\(886\) −1.60784 15.2976i −0.0540165 0.513932i
\(887\) −8.91643 + 9.90270i −0.299384 + 0.332500i −0.874002 0.485922i \(-0.838484\pi\)
0.574618 + 0.818422i \(0.305151\pi\)
\(888\) −2.35531 + 7.24889i −0.0790389 + 0.243257i
\(889\) −12.3581 + 39.6083i −0.414476 + 1.32842i
\(890\) 102.006 3.41925
\(891\) −1.74567 + 2.82004i −0.0584822 + 0.0944749i
\(892\) 2.34960 4.06963i 0.0786705 0.136261i
\(893\) 27.6167 12.2958i 0.924159 0.411462i
\(894\) 5.99953 1.27524i 0.200654 0.0426504i
\(895\) 19.7445 + 60.7672i 0.659985 + 2.03122i
\(896\) −3.34699 + 35.8869i −0.111815 + 1.19890i
\(897\) 1.56432 1.13654i 0.0522310 0.0379480i
\(898\) −17.5554 + 19.4972i −0.585830 + 0.650630i
\(899\) −8.58830 9.53827i −0.286436 0.318119i
\(900\) 5.39812 2.40340i 0.179937 0.0801133i
\(901\) 22.0427 + 38.1791i 0.734349 + 1.27193i
\(902\) 37.8364 39.5127i 1.25982 1.31563i
\(903\) 9.93741 + 1.99079i 0.330696 + 0.0662494i
\(904\) 29.7749 + 21.6327i 0.990299 + 0.719494i
\(905\) −95.0570 + 20.2050i −3.15980 + 0.671637i
\(906\) 2.50358 + 0.532153i 0.0831760 + 0.0176796i
\(907\) −0.156697 1.49087i −0.00520303 0.0495035i 0.991612 0.129248i \(-0.0412563\pi\)
−0.996815 + 0.0797443i \(0.974590\pi\)
\(908\) −8.65221 3.85221i −0.287134 0.127840i
\(909\) −3.54714 10.9170i −0.117651 0.362093i
\(910\) 16.5388 29.4377i 0.548255 0.975850i
\(911\) −16.7328 12.1571i −0.554384 0.402784i 0.275015 0.961440i \(-0.411317\pi\)
−0.829399 + 0.558656i \(0.811317\pi\)
\(912\) −11.9419 20.6840i −0.395435 0.684914i
\(913\) −1.26396 4.33883i −0.0418309 0.143594i
\(914\) −10.0407 + 17.3909i −0.332115 + 0.575241i
\(915\) −3.27885 + 31.1962i −0.108395 + 1.03131i
\(916\) −0.486097 + 1.49605i −0.0160611 + 0.0494310i
\(917\) −26.1987 11.2983i −0.865158 0.373103i
\(918\) −5.79260 + 4.20857i −0.191184 + 0.138903i
\(919\) 10.7446 + 4.78381i 0.354432 + 0.157803i 0.576226 0.817290i \(-0.304525\pi\)
−0.221794 + 0.975094i \(0.571191\pi\)
\(920\) −9.61180 2.04305i −0.316892 0.0673574i
\(921\) −7.95271 8.83238i −0.262051 0.291037i
\(922\) 0.859209 8.17483i 0.0282965 0.269224i
\(923\) −8.04323 −0.264746
\(924\) −2.89832 + 3.09864i −0.0953476 + 0.101938i
\(925\) −38.9757 −1.28151
\(926\) −1.75520 + 16.6996i −0.0576795 + 0.548784i
\(927\) 3.99578 + 4.43777i 0.131239 + 0.145755i
\(928\) −7.23775 1.53843i −0.237591 0.0505015i
\(929\) 25.7504 + 11.4648i 0.844842 + 0.376148i 0.783063 0.621942i \(-0.213656\pi\)
0.0617785 + 0.998090i \(0.480323\pi\)
\(930\) 24.5907 17.8662i 0.806360 0.585855i
\(931\) 2.86753 35.2051i 0.0939794 1.15380i
\(932\) 4.25832 13.1058i 0.139486 0.429294i
\(933\) 1.85185 17.6191i 0.0606267 0.576825i
\(934\) −23.3929 + 40.5177i −0.765440 + 1.32578i
\(935\) −49.4380 38.2907i −1.61680 1.25224i
\(936\) −2.33187 4.03892i −0.0762196 0.132016i
\(937\) 21.6468 + 15.7273i 0.707170 + 0.513789i 0.882259 0.470763i \(-0.156021\pi\)
−0.175090 + 0.984553i \(0.556021\pi\)
\(938\) 7.69469 0.0902138i 0.251241 0.00294559i
\(939\) 4.02687 + 12.3934i 0.131412 + 0.404444i
\(940\) 10.9817 + 4.88935i 0.358182 + 0.159473i
\(941\) 1.79849 + 17.1115i 0.0586292 + 0.557820i 0.983926 + 0.178576i \(0.0571491\pi\)
−0.925297 + 0.379244i \(0.876184\pi\)
\(942\) −12.7779 2.71603i −0.416327 0.0884930i
\(943\) −10.1442 + 2.15623i −0.330342 + 0.0702164i
\(944\) −25.1680 18.2856i −0.819148 0.595146i
\(945\) 7.25044 8.24479i 0.235857 0.268203i
\(946\) −18.0321 8.70095i −0.586275 0.282892i
\(947\) −19.2943 33.4187i −0.626980 1.08596i −0.988154 0.153463i \(-0.950957\pi\)
0.361174 0.932498i \(-0.382376\pi\)
\(948\) −0.572964 + 0.255100i −0.0186090 + 0.00828527i
\(949\) −6.15282 6.83340i −0.199729 0.221822i
\(950\) 65.0261 72.2188i 2.10973 2.34309i
\(951\) 13.2505 9.62705i 0.429677 0.312178i
\(952\) 26.1053 11.9915i 0.846079 0.388647i
\(953\) −6.61448 20.3573i −0.214264 0.659437i −0.999205 0.0398663i \(-0.987307\pi\)
0.784941 0.619571i \(-0.212693\pi\)
\(954\) 14.9572 3.17926i 0.484258 0.102932i
\(955\) 89.1494 39.6919i 2.88481 1.28440i
\(956\) −0.394219 + 0.682807i −0.0127500 + 0.0220836i
\(957\) 5.91671 + 6.99120i 0.191260 + 0.225993i
\(958\) 34.8016 1.12439
\(959\) 27.9356 + 30.3035i 0.902087 + 0.978551i
\(960\) −6.72443 + 20.6957i −0.217030 + 0.667950i
\(961\) −6.28813 + 6.98367i −0.202843 + 0.225280i
\(962\) −1.02524 9.75453i −0.0330551 0.314499i
\(963\) 0.399154 + 3.79770i 0.0128626 + 0.122379i
\(964\) 1.76658 1.96199i 0.0568978 0.0631914i
\(965\) −27.7630 + 85.4458i −0.893724 + 2.75060i
\(966\) 4.03066 0.906258i 0.129684 0.0291584i
\(967\) −54.9040 −1.76559 −0.882796 0.469756i \(-0.844342\pi\)
−0.882796 + 0.469756i \(0.844342\pi\)
\(968\) −22.1756 + 14.1182i −0.712749 + 0.453775i
\(969\) −11.4629 + 19.8544i −0.368243 + 0.637815i
\(970\) −22.2157 + 9.89108i −0.713304 + 0.317583i
\(971\) −51.1777 + 10.8782i −1.64237 + 0.349097i −0.934146 0.356891i \(-0.883837\pi\)
−0.708225 + 0.705987i \(0.750504\pi\)
\(972\) 0.149415 + 0.459853i 0.00479250 + 0.0147498i
\(973\) 38.7298 + 27.4510i 1.24162 + 0.880037i
\(974\) −41.3533 + 30.0450i −1.32505 + 0.962703i
\(975\) 15.9578 17.7230i 0.511060 0.567590i
\(976\) 23.9404 + 26.5885i 0.766312 + 0.851076i
\(977\) 56.3572 25.0918i 1.80303 0.802758i 0.835714 0.549164i \(-0.185054\pi\)
0.967311 0.253594i \(-0.0816127\pi\)
\(978\) −2.02952 3.51523i −0.0648968 0.112405i
\(979\) −50.9080 + 9.19789i −1.62703 + 0.293966i
\(980\) 11.1664 8.51989i 0.356697 0.272158i
\(981\) −4.08149 2.96537i −0.130312 0.0946771i
\(982\) −8.22239 + 1.74772i −0.262387 + 0.0557721i
\(983\) −10.1573 2.15899i −0.323967 0.0688612i 0.0430577 0.999073i \(-0.486290\pi\)
−0.367024 + 0.930211i \(0.619623\pi\)
\(984\) 2.61468 + 24.8770i 0.0833528 + 0.793049i
\(985\) 57.6569 + 25.6705i 1.83710 + 0.817930i
\(986\) 6.11001 + 18.8047i 0.194582 + 0.598863i
\(987\) 15.8496 0.185823i 0.504498 0.00591481i
\(988\) 3.85193 + 2.79859i 0.122546 + 0.0890351i
\(989\) 1.89776 + 3.28702i 0.0603453 + 0.104521i
\(990\) −17.9304 + 12.2045i −0.569866 + 0.387885i
\(991\) −21.8063 + 37.7696i −0.692699 + 1.19979i 0.278251 + 0.960508i \(0.410245\pi\)
−0.970950 + 0.239282i \(0.923088\pi\)
\(992\) 1.30179 12.3857i 0.0413320 0.393248i
\(993\) −1.01888 + 3.13580i −0.0323332 + 0.0995115i
\(994\) −15.7801 6.80523i −0.500515 0.215849i
\(995\) 44.3472 32.2201i 1.40590 1.02145i
\(996\) −0.601877 0.267973i −0.0190712 0.00849104i
\(997\) −26.9635 5.73128i −0.853944 0.181511i −0.239914 0.970794i \(-0.577119\pi\)
−0.614030 + 0.789283i \(0.710453\pi\)
\(998\) 39.3648 + 43.7191i 1.24607 + 1.38390i
\(999\) 0.333372 3.17182i 0.0105474 0.100352i
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 231.2.y.b.4.7 64
3.2 odd 2 693.2.by.c.235.2 64
7.2 even 3 inner 231.2.y.b.37.2 yes 64
11.3 even 5 inner 231.2.y.b.25.2 yes 64
21.2 odd 6 693.2.by.c.37.7 64
33.14 odd 10 693.2.by.c.487.7 64
77.58 even 15 inner 231.2.y.b.58.7 yes 64
231.212 odd 30 693.2.by.c.289.2 64
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
231.2.y.b.4.7 64 1.1 even 1 trivial
231.2.y.b.25.2 yes 64 11.3 even 5 inner
231.2.y.b.37.2 yes 64 7.2 even 3 inner
231.2.y.b.58.7 yes 64 77.58 even 15 inner
693.2.by.c.37.7 64 21.2 odd 6
693.2.by.c.235.2 64 3.2 odd 2
693.2.by.c.289.2 64 231.212 odd 30
693.2.by.c.487.7 64 33.14 odd 10