Properties

Label 349.2.i.a.9.10
Level $349$
Weight $2$
Character 349.9
Analytic conductor $2.787$
Analytic rank $0$
Dimension $1568$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [349,2,Mod(9,349)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(349, base_ring=CyclotomicField(174))
 
chi = DirichletCharacter(H, H._module([26]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("349.9");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 349 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 349.i (of order \(87\), degree \(56\), 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: \(2.78677903054\)
Analytic rank: \(0\)
Dimension: \(1568\)
Relative dimension: \(28\) over \(\Q(\zeta_{87})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{87}]$

Embedding invariants

Embedding label 9.10
Character \(\chi\) \(=\) 349.9
Dual form 349.2.i.a.194.10

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.818321 - 0.415096i) q^{2} +(-2.39483 + 0.904438i) q^{3} +(-0.684062 - 0.934416i) q^{4} +(-1.74670 + 0.451166i) q^{5} +(2.33517 + 0.253965i) q^{6} +(-4.80765 - 0.173681i) q^{7} +(0.468806 + 2.85959i) q^{8} +(2.66617 - 2.34884i) q^{9} +O(q^{10})\) \(q+(-0.818321 - 0.415096i) q^{2} +(-2.39483 + 0.904438i) q^{3} +(-0.684062 - 0.934416i) q^{4} +(-1.74670 + 0.451166i) q^{5} +(2.33517 + 0.253965i) q^{6} +(-4.80765 - 0.173681i) q^{7} +(0.468806 + 2.85959i) q^{8} +(2.66617 - 2.34884i) q^{9} +(1.61663 + 0.355848i) q^{10} +(1.49371 + 0.691064i) q^{11} +(2.48334 + 1.61908i) q^{12} +(-0.0521868 - 2.89010i) q^{13} +(3.86211 + 2.13776i) q^{14} +(3.77500 - 2.66025i) q^{15} +(0.103584 - 0.326810i) q^{16} +(0.176681 - 1.07771i) q^{17} +(-3.15678 + 0.815385i) q^{18} +(1.45838 + 0.433426i) q^{19} +(1.61642 + 1.32351i) q^{20} +(11.6706 - 3.93229i) q^{21} +(-0.935476 - 1.18555i) q^{22} +(0.0443078 + 2.45376i) q^{23} +(-3.70903 - 6.42423i) q^{24} +(-1.52716 + 0.845318i) q^{25} +(-1.15696 + 2.38669i) q^{26} +(-0.663386 + 1.25128i) q^{27} +(3.12644 + 4.61115i) q^{28} +(3.46865 - 2.26148i) q^{29} +(-4.19341 + 0.609949i) q^{30} +(1.62538 + 2.39726i) q^{31} +(3.84047 - 3.91044i) q^{32} +(-4.20221 - 0.304015i) q^{33} +(-0.591933 + 0.808570i) q^{34} +(8.47587 - 1.86568i) q^{35} +(-4.01862 - 0.884564i) q^{36} +(1.67062 - 1.00518i) q^{37} +(-1.01351 - 0.960050i) q^{38} +(2.73890 + 6.87411i) q^{39} +(-2.10901 - 4.78332i) q^{40} +(-1.22440 - 7.46850i) q^{41} +(-11.1826 - 1.62655i) q^{42} +(1.03234 + 11.4044i) q^{43} +(-0.376049 - 1.86848i) q^{44} +(-3.59728 + 5.30559i) q^{45} +(0.982289 - 2.02636i) q^{46} +(1.51811 + 1.15403i) q^{47} +(0.0475139 + 0.876342i) q^{48} +(16.1016 + 1.16489i) q^{49} +(1.60059 - 0.0578230i) q^{50} +(0.551597 + 2.74073i) q^{51} +(-2.66485 + 2.02577i) q^{52} +(-4.05734 - 4.77667i) q^{53} +(1.06226 - 0.748578i) q^{54} +(-2.92084 - 0.533168i) q^{55} +(-1.75720 - 13.8293i) q^{56} +(-3.88460 + 0.281036i) q^{57} +(-3.77719 + 0.410795i) q^{58} +(-9.06241 + 3.42253i) q^{59} +(-5.06810 - 1.70764i) q^{60} +(-0.105110 + 1.93864i) q^{61} +(-0.334992 - 2.63642i) q^{62} +(-13.2260 + 10.8293i) q^{63} +(-5.41572 + 1.82477i) q^{64} +(1.39507 + 5.02458i) q^{65} +(3.31256 + 1.99310i) q^{66} +(-10.5668 - 10.0094i) q^{67} +(-1.12789 + 0.572124i) q^{68} +(-2.32539 - 5.83628i) q^{69} +(-7.71041 - 1.99157i) q^{70} +(10.0312 + 3.78842i) q^{71} +(7.96662 + 6.52301i) q^{72} +(-5.45453 + 8.70574i) q^{73} +(-1.78435 + 0.129091i) q^{74} +(2.89276 - 3.40562i) q^{75} +(-0.592625 - 1.65923i) q^{76} +(-7.06122 - 3.58183i) q^{77} +(0.612119 - 6.76213i) q^{78} +(1.95621 - 2.30303i) q^{79} +(-0.0334838 + 0.617572i) q^{80} +(-0.886660 + 6.97810i) q^{81} +(-2.09819 + 6.61987i) q^{82} +(2.84550 + 2.89734i) q^{83} +(-11.6578 - 8.21528i) q^{84} +(0.177616 + 1.96214i) q^{85} +(3.88912 - 9.76096i) q^{86} +(-6.26146 + 8.55304i) q^{87} +(-1.27590 + 4.59537i) q^{88} +(10.5920 - 13.4235i) q^{89} +(5.14606 - 2.84846i) q^{90} +(-0.251060 + 13.9037i) q^{91} +(2.26253 - 1.71993i) q^{92} +(-6.06070 - 4.27099i) q^{93} +(-0.763262 - 1.57453i) q^{94} +(-2.74290 - 0.0990899i) q^{95} +(-5.66053 + 12.8383i) q^{96} +(8.07137 + 2.08481i) q^{97} +(-12.6927 - 7.63696i) q^{98} +(5.60569 - 1.66599i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1568 q - 58 q^{2} - 58 q^{3} - 28 q^{4} - 62 q^{5} - 72 q^{6} - 60 q^{7} + 23 q^{8} - 30 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1568 q - 58 q^{2} - 58 q^{3} - 28 q^{4} - 62 q^{5} - 72 q^{6} - 60 q^{7} + 23 q^{8} - 30 q^{9} - 56 q^{10} - 56 q^{11} - 69 q^{12} - 56 q^{13} - 60 q^{14} - 67 q^{15} - 24 q^{16} - 58 q^{17} + 40 q^{18} - 169 q^{19} - 72 q^{20} + 46 q^{21} - 51 q^{22} - 47 q^{23} + q^{24} - 52 q^{25} + 11 q^{26} - 28 q^{27} - 6 q^{28} - 66 q^{29} - 37 q^{30} - 10 q^{31} - 52 q^{32} - 70 q^{33} - 44 q^{34} - 42 q^{35} - 124 q^{36} - 159 q^{37} - 118 q^{38} - 32 q^{39} - 82 q^{40} - 403 q^{42} - 35 q^{43} + 78 q^{44} - 76 q^{45} - 63 q^{46} - 32 q^{47} + 22 q^{48} - 32 q^{49} + 308 q^{50} + 44 q^{51} + 255 q^{52} - 46 q^{53} - 51 q^{54} + 48 q^{55} - 39 q^{56} - 83 q^{57} - 46 q^{58} - 42 q^{59} - 742 q^{60} + 190 q^{61} - 31 q^{62} - 89 q^{63} + 149 q^{64} - 130 q^{65} + 385 q^{66} - 24 q^{67} - q^{68} + 48 q^{69} - 6 q^{70} - 48 q^{71} + 243 q^{72} - 81 q^{73} + 75 q^{74} - 32 q^{75} - 67 q^{76} - 48 q^{77} - 547 q^{78} - 106 q^{79} + 148 q^{80} + 418 q^{81} - 50 q^{82} - 304 q^{83} + 338 q^{84} + 90 q^{85} - 46 q^{86} + 102 q^{87} - 116 q^{88} + 340 q^{89} - 126 q^{90} - 112 q^{91} - 106 q^{92} - q^{93} - 91 q^{94} + 120 q^{95} - 914 q^{96} - 58 q^{97} + 316 q^{98} - 131 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/349\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{13}{87}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.818321 0.415096i −0.578640 0.293517i 0.138594 0.990349i \(-0.455742\pi\)
−0.717234 + 0.696832i \(0.754592\pi\)
\(3\) −2.39483 + 0.904438i −1.38266 + 0.522178i −0.929358 0.369180i \(-0.879639\pi\)
−0.453300 + 0.891358i \(0.649753\pi\)
\(4\) −0.684062 0.934416i −0.342031 0.467208i
\(5\) −1.74670 + 0.451166i −0.781146 + 0.201767i −0.619411 0.785067i \(-0.712629\pi\)
−0.161735 + 0.986834i \(0.551709\pi\)
\(6\) 2.33517 + 0.253965i 0.953329 + 0.103681i
\(7\) −4.80765 0.173681i −1.81712 0.0656453i −0.893526 0.449012i \(-0.851776\pi\)
−0.923596 + 0.383367i \(0.874764\pi\)
\(8\) 0.468806 + 2.85959i 0.165748 + 1.01102i
\(9\) 2.66617 2.34884i 0.888724 0.782946i
\(10\) 1.61663 + 0.355848i 0.511225 + 0.112529i
\(11\) 1.49371 + 0.691064i 0.450371 + 0.208364i 0.631945 0.775014i \(-0.282257\pi\)
−0.181574 + 0.983377i \(0.558119\pi\)
\(12\) 2.48334 + 1.61908i 0.716877 + 0.467388i
\(13\) −0.0521868 2.89010i −0.0144740 0.801569i −0.923231 0.384244i \(-0.874462\pi\)
0.908757 0.417325i \(-0.137032\pi\)
\(14\) 3.86211 + 2.13776i 1.03219 + 0.571341i
\(15\) 3.77500 2.66025i 0.974700 0.686872i
\(16\) 0.103584 0.326810i 0.0258959 0.0817026i
\(17\) 0.176681 1.07771i 0.0428514 0.261382i −0.956708 0.291048i \(-0.905996\pi\)
0.999560 + 0.0296659i \(0.00944432\pi\)
\(18\) −3.15678 + 0.815385i −0.744059 + 0.192188i
\(19\) 1.45838 + 0.433426i 0.334576 + 0.0994347i 0.447797 0.894135i \(-0.352209\pi\)
−0.113221 + 0.993570i \(0.536117\pi\)
\(20\) 1.61642 + 1.32351i 0.361443 + 0.295947i
\(21\) 11.6706 3.93229i 2.54674 0.858096i
\(22\) −0.935476 1.18555i −0.199444 0.252759i
\(23\) 0.0443078 + 2.45376i 0.00923882 + 0.511645i 0.971175 + 0.238369i \(0.0766129\pi\)
−0.961936 + 0.273276i \(0.911893\pi\)
\(24\) −3.70903 6.42423i −0.757103 1.31134i
\(25\) −1.52716 + 0.845318i −0.305432 + 0.169064i
\(26\) −1.15696 + 2.38669i −0.226899 + 0.468068i
\(27\) −0.663386 + 1.25128i −0.127669 + 0.240809i
\(28\) 3.12644 + 4.61115i 0.590842 + 0.871426i
\(29\) 3.46865 2.26148i 0.644111 0.419946i −0.182121 0.983276i \(-0.558296\pi\)
0.826232 + 0.563330i \(0.190480\pi\)
\(30\) −4.19341 + 0.609949i −0.765609 + 0.111361i
\(31\) 1.62538 + 2.39726i 0.291928 + 0.430561i 0.945166 0.326592i \(-0.105900\pi\)
−0.653238 + 0.757153i \(0.726590\pi\)
\(32\) 3.84047 3.91044i 0.678905 0.691275i
\(33\) −4.20221 0.304015i −0.731512 0.0529222i
\(34\) −0.591933 + 0.808570i −0.101516 + 0.138669i
\(35\) 8.47587 1.86568i 1.43268 0.315357i
\(36\) −4.01862 0.884564i −0.669769 0.147427i
\(37\) 1.67062 1.00518i 0.274648 0.165250i −0.371566 0.928407i \(-0.621179\pi\)
0.646214 + 0.763156i \(0.276351\pi\)
\(38\) −1.01351 0.960050i −0.164413 0.155741i
\(39\) 2.73890 + 6.87411i 0.438574 + 1.10074i
\(40\) −2.10901 4.78332i −0.333463 0.756309i
\(41\) −1.22440 7.46850i −0.191219 1.16638i −0.891671 0.452684i \(-0.850467\pi\)
0.700452 0.713699i \(-0.252982\pi\)
\(42\) −11.1826 1.62655i −1.72551 0.250982i
\(43\) 1.03234 + 11.4044i 0.157431 + 1.73915i 0.564216 + 0.825627i \(0.309179\pi\)
−0.406785 + 0.913524i \(0.633350\pi\)
\(44\) −0.376049 1.86848i −0.0566915 0.281684i
\(45\) −3.59728 + 5.30559i −0.536251 + 0.790911i
\(46\) 0.982289 2.02636i 0.144831 0.298770i
\(47\) 1.51811 + 1.15403i 0.221438 + 0.168333i 0.710012 0.704190i \(-0.248689\pi\)
−0.488574 + 0.872523i \(0.662483\pi\)
\(48\) 0.0475139 + 0.876342i 0.00685804 + 0.126489i
\(49\) 16.1016 + 1.16489i 2.30023 + 0.166413i
\(50\) 1.60059 0.0578230i 0.226358 0.00817741i
\(51\) 0.551597 + 2.74073i 0.0772391 + 0.383778i
\(52\) −2.66485 + 2.02577i −0.369549 + 0.280924i
\(53\) −4.05734 4.77667i −0.557319 0.656126i 0.409284 0.912407i \(-0.365779\pi\)
−0.966602 + 0.256281i \(0.917503\pi\)
\(54\) 1.06226 0.748578i 0.144556 0.101869i
\(55\) −2.92084 0.533168i −0.393846 0.0718924i
\(56\) −1.75720 13.8293i −0.234815 1.84802i
\(57\) −3.88460 + 0.281036i −0.514527 + 0.0372242i
\(58\) −3.77719 + 0.410795i −0.495970 + 0.0539400i
\(59\) −9.06241 + 3.42253i −1.17983 + 0.445576i −0.864122 0.503282i \(-0.832126\pi\)
−0.315704 + 0.948858i \(0.602241\pi\)
\(60\) −5.06810 1.70764i −0.654290 0.220456i
\(61\) −0.105110 + 1.93864i −0.0134580 + 0.248217i 0.984062 + 0.177828i \(0.0569070\pi\)
−0.997520 + 0.0703896i \(0.977576\pi\)
\(62\) −0.334992 2.63642i −0.0425440 0.334826i
\(63\) −13.2260 + 10.8293i −1.66632 + 1.36437i
\(64\) −5.41572 + 1.82477i −0.676964 + 0.228096i
\(65\) 1.39507 + 5.02458i 0.173037 + 0.623222i
\(66\) 3.31256 + 1.99310i 0.407748 + 0.245334i
\(67\) −10.5668 10.0094i −1.29094 1.22284i −0.960262 0.279101i \(-0.909964\pi\)
−0.330679 0.943743i \(-0.607278\pi\)
\(68\) −1.12789 + 0.572124i −0.136776 + 0.0693802i
\(69\) −2.32539 5.83628i −0.279944 0.702606i
\(70\) −7.71041 1.99157i −0.921570 0.238038i
\(71\) 10.0312 + 3.78842i 1.19049 + 0.449602i 0.867805 0.496905i \(-0.165530\pi\)
0.322683 + 0.946507i \(0.395415\pi\)
\(72\) 7.96662 + 6.52301i 0.938875 + 0.768744i
\(73\) −5.45453 + 8.70574i −0.638405 + 1.01893i 0.357960 + 0.933737i \(0.383473\pi\)
−0.996364 + 0.0851930i \(0.972849\pi\)
\(74\) −1.78435 + 0.129091i −0.207426 + 0.0150065i
\(75\) 2.89276 3.40562i 0.334027 0.393247i
\(76\) −0.592625 1.65923i −0.0679788 0.190326i
\(77\) −7.06122 3.58183i −0.804700 0.408187i
\(78\) 0.612119 6.76213i 0.0693089 0.765660i
\(79\) 1.95621 2.30303i 0.220091 0.259112i −0.641024 0.767520i \(-0.721490\pi\)
0.861116 + 0.508409i \(0.169766\pi\)
\(80\) −0.0334838 + 0.617572i −0.00374360 + 0.0690466i
\(81\) −0.886660 + 6.97810i −0.0985177 + 0.775344i
\(82\) −2.09819 + 6.61987i −0.231706 + 0.731042i
\(83\) 2.84550 + 2.89734i 0.312334 + 0.318025i 0.851683 0.524058i \(-0.175582\pi\)
−0.539349 + 0.842082i \(0.681330\pi\)
\(84\) −11.6578 8.21528i −1.27197 0.896360i
\(85\) 0.177616 + 1.96214i 0.0192652 + 0.212824i
\(86\) 3.88912 9.76096i 0.419375 1.05255i
\(87\) −6.26146 + 8.55304i −0.671299 + 0.916982i
\(88\) −1.27590 + 4.59537i −0.136011 + 0.489868i
\(89\) 10.5920 13.4235i 1.12275 1.42288i 0.229511 0.973306i \(-0.426287\pi\)
0.893241 0.449577i \(-0.148425\pi\)
\(90\) 5.14606 2.84846i 0.542442 0.300254i
\(91\) −0.251060 + 13.9037i −0.0263182 + 1.45750i
\(92\) 2.26253 1.71993i 0.235885 0.179315i
\(93\) −6.06070 4.27099i −0.628466 0.442881i
\(94\) −0.763262 1.57453i −0.0787245 0.162400i
\(95\) −2.74290 0.0990899i −0.281416 0.0101664i
\(96\) −5.66053 + 12.8383i −0.577726 + 1.31031i
\(97\) 8.07137 + 2.08481i 0.819523 + 0.211680i 0.636350 0.771401i \(-0.280444\pi\)
0.183173 + 0.983081i \(0.441363\pi\)
\(98\) −12.6927 7.63696i −1.28216 0.771450i
\(99\) 5.60569 1.66599i 0.563393 0.167438i
\(100\) 1.83455 + 0.848753i 0.183455 + 0.0848753i
\(101\) 11.1603 10.5716i 1.11049 1.05191i 0.112184 0.993687i \(-0.464216\pi\)
0.998304 0.0582219i \(-0.0185431\pi\)
\(102\) 0.686280 2.47176i 0.0679519 0.244740i
\(103\) −0.392359 7.23664i −0.0386603 0.713047i −0.952047 0.305953i \(-0.901025\pi\)
0.913386 0.407094i \(-0.133458\pi\)
\(104\) 8.24002 1.50413i 0.808001 0.147492i
\(105\) −18.6109 + 12.1339i −1.81624 + 1.18415i
\(106\) 1.33743 + 5.59303i 0.129903 + 0.543243i
\(107\) 0.365959 + 1.53041i 0.0353786 + 0.147951i 0.987452 0.157918i \(-0.0504783\pi\)
−0.952074 + 0.305869i \(0.901053\pi\)
\(108\) 1.62301 0.236073i 0.156174 0.0227162i
\(109\) 5.05402 + 15.9456i 0.484087 + 1.52731i 0.812605 + 0.582815i \(0.198049\pi\)
−0.328518 + 0.944498i \(0.606549\pi\)
\(110\) 2.16887 + 1.64873i 0.206794 + 0.157200i
\(111\) −3.09174 + 3.91821i −0.293455 + 0.371900i
\(112\) −0.554755 + 1.55320i −0.0524195 + 0.146764i
\(113\) 13.8159 + 9.00762i 1.29969 + 0.847366i 0.994481 0.104920i \(-0.0334588\pi\)
0.305205 + 0.952287i \(0.401275\pi\)
\(114\) 3.29550 + 1.38250i 0.308652 + 0.129483i
\(115\) −1.18445 4.26599i −0.110450 0.397806i
\(116\) −4.48593 1.69417i −0.416508 0.157299i
\(117\) −6.92751 7.58293i −0.640449 0.701042i
\(118\) 8.83664 + 0.961042i 0.813478 + 0.0884711i
\(119\) −1.03660 + 5.15055i −0.0950248 + 0.472150i
\(120\) 9.37694 + 9.54779i 0.855994 + 0.871590i
\(121\) −5.36765 6.31928i −0.487968 0.574480i
\(122\) 0.890735 1.54280i 0.0806433 0.139678i
\(123\) 9.68702 + 16.7784i 0.873450 + 1.51286i
\(124\) 1.12818 3.15866i 0.101313 0.283656i
\(125\) 8.83467 8.36864i 0.790197 0.748514i
\(126\) 15.3183 3.37181i 1.36466 0.300385i
\(127\) 17.2694 7.98970i 1.53242 0.708971i 0.541159 0.840920i \(-0.317986\pi\)
0.991256 + 0.131949i \(0.0421235\pi\)
\(128\) −5.65849 0.823050i −0.500145 0.0727481i
\(129\) −12.7868 26.3779i −1.12582 2.32245i
\(130\) 0.944069 4.69080i 0.0828003 0.411411i
\(131\) −1.00662 + 6.14012i −0.0879490 + 0.536465i 0.905698 + 0.423923i \(0.139347\pi\)
−0.993647 + 0.112542i \(0.964101\pi\)
\(132\) 2.59050 + 4.13458i 0.225474 + 0.359869i
\(133\) −6.93613 2.33705i −0.601439 0.202648i
\(134\) 4.49217 + 12.5771i 0.388064 + 1.08650i
\(135\) 0.594200 2.48490i 0.0511406 0.213866i
\(136\) 3.16462 0.271364
\(137\) −0.919056 + 3.84343i −0.0785203 + 0.328366i −0.997882 0.0650467i \(-0.979280\pi\)
0.919362 + 0.393413i \(0.128706\pi\)
\(138\) −0.519704 + 5.74121i −0.0442401 + 0.488724i
\(139\) −16.5633 + 1.80137i −1.40488 + 0.152790i −0.778950 0.627086i \(-0.784247\pi\)
−0.625933 + 0.779876i \(0.715282\pi\)
\(140\) −7.54133 6.64374i −0.637359 0.561499i
\(141\) −4.67936 1.39069i −0.394074 0.117117i
\(142\) −6.63620 7.26406i −0.556898 0.609586i
\(143\) 1.91929 4.35304i 0.160499 0.364019i
\(144\) −0.491452 1.11463i −0.0409543 0.0928862i
\(145\) −5.03837 + 5.51505i −0.418414 + 0.458000i
\(146\) 8.07727 4.85993i 0.668480 0.402211i
\(147\) −39.6142 + 11.7732i −3.26733 + 0.971036i
\(148\) −2.08206 0.873450i −0.171145 0.0717971i
\(149\) −4.07867 5.16896i −0.334137 0.423458i 0.588877 0.808222i \(-0.299570\pi\)
−0.923015 + 0.384764i \(0.874283\pi\)
\(150\) −3.78086 + 1.58612i −0.308706 + 0.129506i
\(151\) 14.4440 + 2.63660i 1.17544 + 0.214563i 0.731721 0.681604i \(-0.238717\pi\)
0.443716 + 0.896167i \(0.353660\pi\)
\(152\) −0.555720 + 4.37357i −0.0450748 + 0.354743i
\(153\) −2.06029 3.28835i −0.166565 0.265847i
\(154\) 4.29154 + 5.86216i 0.345822 + 0.472387i
\(155\) −3.92062 3.45397i −0.314911 0.277430i
\(156\) 4.54970 7.26158i 0.364268 0.581392i
\(157\) 12.9103 10.5708i 1.03035 0.843644i 0.0425090 0.999096i \(-0.486465\pi\)
0.987844 + 0.155452i \(0.0496833\pi\)
\(158\) −2.55679 + 1.07260i −0.203407 + 0.0853318i
\(159\) 14.0369 + 7.76972i 1.11320 + 0.616179i
\(160\) −4.94387 + 8.56304i −0.390848 + 0.676968i
\(161\) 0.213156 11.8045i 0.0167990 0.930328i
\(162\) 3.62215 5.34227i 0.284583 0.419729i
\(163\) 1.23033 + 2.32065i 0.0963668 + 0.181767i 0.927009 0.375040i \(-0.122371\pi\)
−0.830642 + 0.556807i \(0.812026\pi\)
\(164\) −6.14112 + 6.25301i −0.479541 + 0.488278i
\(165\) 7.47715 1.36487i 0.582096 0.106255i
\(166\) −1.12585 3.55211i −0.0873832 0.275697i
\(167\) 11.9148 22.4737i 0.921997 1.73907i 0.304467 0.952523i \(-0.401522\pi\)
0.617530 0.786547i \(-0.288133\pi\)
\(168\) 16.7160 + 31.5297i 1.28966 + 2.43257i
\(169\) 4.64158 0.167681i 0.357044 0.0128986i
\(170\) 0.669128 1.67939i 0.0513198 0.128803i
\(171\) 4.90635 2.26992i 0.375198 0.173585i
\(172\) 9.95024 8.76594i 0.758699 0.668396i
\(173\) 1.84068 2.01483i 0.139945 0.153185i −0.664337 0.747433i \(-0.731286\pi\)
0.804282 + 0.594248i \(0.202550\pi\)
\(174\) 8.67422 4.40002i 0.657591 0.333565i
\(175\) 7.48887 3.79875i 0.566105 0.287159i
\(176\) 0.380571 0.416577i 0.0286866 0.0314007i
\(177\) 18.6075 16.3928i 1.39863 1.23216i
\(178\) −14.2397 + 6.58798i −1.06731 + 0.493790i
\(179\) −4.35772 + 10.9371i −0.325712 + 0.817475i 0.671369 + 0.741123i \(0.265706\pi\)
−0.997081 + 0.0763516i \(0.975673\pi\)
\(180\) 7.41839 0.267996i 0.552934 0.0199753i
\(181\) 2.08846 + 3.93925i 0.155234 + 0.292802i 0.948915 0.315532i \(-0.102183\pi\)
−0.793681 + 0.608334i \(0.791838\pi\)
\(182\) 5.97680 11.2734i 0.443030 0.835642i
\(183\) −1.50166 4.73779i −0.111006 0.350227i
\(184\) −6.99598 + 1.27704i −0.515750 + 0.0941447i
\(185\) −2.46457 + 2.50947i −0.181198 + 0.184500i
\(186\) 3.18673 + 6.01081i 0.233662 + 0.440734i
\(187\) 1.00867 1.48768i 0.0737616 0.108790i
\(188\) 0.0398695 2.20797i 0.00290779 0.161033i
\(189\) 3.40665 5.90050i 0.247798 0.429198i
\(190\) 2.20344 + 1.21965i 0.159854 + 0.0884830i
\(191\) 24.0269 10.0796i 1.73852 0.729331i 0.740144 0.672449i \(-0.234758\pi\)
0.998381 0.0568825i \(-0.0181161\pi\)
\(192\) 11.3194 9.26820i 0.816904 0.668874i
\(193\) −7.34246 + 11.7190i −0.528522 + 0.843550i −0.999250 0.0387281i \(-0.987669\pi\)
0.470728 + 0.882278i \(0.343991\pi\)
\(194\) −5.73957 5.05643i −0.412077 0.363031i
\(195\) −7.88538 10.7713i −0.564684 0.771347i
\(196\) −9.92599 15.8424i −0.709000 1.13160i
\(197\) −1.69511 + 13.3407i −0.120771 + 0.950483i 0.810394 + 0.585886i \(0.199253\pi\)
−0.931165 + 0.364597i \(0.881207\pi\)
\(198\) −5.27879 0.963587i −0.375148 0.0684791i
\(199\) −21.5683 + 9.04814i −1.52893 + 0.641405i −0.980805 0.194989i \(-0.937533\pi\)
−0.548128 + 0.836395i \(0.684659\pi\)
\(200\) −3.13320 3.97076i −0.221551 0.280775i
\(201\) 34.3586 + 14.4139i 2.42347 + 1.01667i
\(202\) −13.5209 + 4.01835i −0.951326 + 0.282730i
\(203\) −17.0688 + 10.2700i −1.19800 + 0.720810i
\(204\) 2.18365 2.39025i 0.152886 0.167351i
\(205\) 5.50818 + 12.4928i 0.384708 + 0.872534i
\(206\) −2.68282 + 6.08476i −0.186921 + 0.423945i
\(207\) 5.88162 + 6.43809i 0.408801 + 0.447478i
\(208\) −0.949920 0.282312i −0.0658651 0.0195748i
\(209\) 1.87888 + 1.65525i 0.129965 + 0.114496i
\(210\) 20.2664 2.20410i 1.39852 0.152098i
\(211\) 1.03204 11.4010i 0.0710484 0.784877i −0.879825 0.475297i \(-0.842341\pi\)
0.950874 0.309579i \(-0.100188\pi\)
\(212\) −1.68792 + 7.05878i −0.115927 + 0.484799i
\(213\) −27.4495 −1.88081
\(214\) 0.335796 1.40428i 0.0229546 0.0959943i
\(215\) −6.94845 19.4542i −0.473881 1.32677i
\(216\) −3.88914 1.31040i −0.264622 0.0891617i
\(217\) −7.39792 11.8075i −0.502204 0.801546i
\(218\) 2.48315 15.1465i 0.168180 1.02585i
\(219\) 5.18890 25.7821i 0.350633 1.74219i
\(220\) 1.49984 + 3.09400i 0.101119 + 0.208598i
\(221\) −3.12390 0.454384i −0.210136 0.0305651i
\(222\) 4.15647 1.92299i 0.278964 0.129062i
\(223\) 8.20683 1.80646i 0.549570 0.120969i 0.0684991 0.997651i \(-0.478179\pi\)
0.481071 + 0.876682i \(0.340248\pi\)
\(224\) −19.1428 + 18.1330i −1.27903 + 1.21156i
\(225\) −2.08616 + 5.84081i −0.139077 + 0.389388i
\(226\) −7.56677 13.1060i −0.503334 0.871800i
\(227\) −8.08342 + 14.0009i −0.536515 + 0.929272i 0.462573 + 0.886581i \(0.346926\pi\)
−0.999088 + 0.0426905i \(0.986407\pi\)
\(228\) 2.91991 + 3.43758i 0.193376 + 0.227659i
\(229\) −0.712021 0.724994i −0.0470517 0.0479090i 0.689533 0.724254i \(-0.257816\pi\)
−0.736585 + 0.676345i \(0.763563\pi\)
\(230\) −0.801538 + 3.98261i −0.0528518 + 0.262605i
\(231\) 20.1500 + 2.19144i 1.32577 + 0.144186i
\(232\) 8.09302 + 8.85870i 0.531333 + 0.581602i
\(233\) 26.7479 + 10.1017i 1.75232 + 0.661784i 0.999996 + 0.00298664i \(0.000950679\pi\)
0.752321 + 0.658797i \(0.228934\pi\)
\(234\) 2.52128 + 9.08084i 0.164821 + 0.593633i
\(235\) −3.17233 1.33083i −0.206940 0.0868137i
\(236\) 9.39732 + 6.12684i 0.611713 + 0.398823i
\(237\) −2.60186 + 7.28466i −0.169009 + 0.473190i
\(238\) 2.98624 3.78451i 0.193569 0.245314i
\(239\) 9.85971 + 7.49516i 0.637772 + 0.484821i 0.873388 0.487025i \(-0.161918\pi\)
−0.235616 + 0.971846i \(0.575711\pi\)
\(240\) −0.478367 1.50927i −0.0308785 0.0974227i
\(241\) −13.7097 + 1.99413i −0.883120 + 0.128453i −0.570376 0.821384i \(-0.693202\pi\)
−0.312744 + 0.949837i \(0.601248\pi\)
\(242\) 1.76935 + 7.39929i 0.113738 + 0.475644i
\(243\) −5.17598 21.6456i −0.332040 1.38857i
\(244\) 1.88340 1.22793i 0.120572 0.0786103i
\(245\) −28.6502 + 5.22978i −1.83039 + 0.334118i
\(246\) −0.962440 17.7512i −0.0613630 1.13177i
\(247\) 1.17653 4.23749i 0.0748611 0.269625i
\(248\) −6.09319 + 5.77178i −0.386918 + 0.366508i
\(249\) −9.43496 4.36508i −0.597916 0.276626i
\(250\) −10.7034 + 3.18100i −0.676941 + 0.201184i
\(251\) 1.42104 + 0.855010i 0.0896951 + 0.0539678i 0.559695 0.828699i \(-0.310918\pi\)
−0.470000 + 0.882667i \(0.655746\pi\)
\(252\) 19.1665 + 4.95064i 1.20737 + 0.311861i
\(253\) −1.62953 + 3.69583i −0.102447 + 0.232355i
\(254\) −17.4484 0.630342i −1.09481 0.0395511i
\(255\) −2.19999 4.53835i −0.137769 0.284203i
\(256\) 13.6317 + 9.60631i 0.851984 + 0.600394i
\(257\) −9.31597 + 7.08182i −0.581114 + 0.441752i −0.853984 0.520299i \(-0.825820\pi\)
0.272870 + 0.962051i \(0.412027\pi\)
\(258\) −0.485616 + 26.8933i −0.0302331 + 1.67431i
\(259\) −8.20635 + 4.54240i −0.509918 + 0.282251i
\(260\) 3.74073 4.74069i 0.231990 0.294005i
\(261\) 3.93616 14.1768i 0.243642 0.877520i
\(262\) 3.37248 4.60675i 0.208352 0.284606i
\(263\) 3.13020 7.85620i 0.193016 0.484434i −0.800336 0.599552i \(-0.795345\pi\)
0.993352 + 0.115118i \(0.0367247\pi\)
\(264\) −1.10066 12.1591i −0.0677412 0.748342i
\(265\) 9.24201 + 6.51286i 0.567732 + 0.400082i
\(266\) 4.70587 + 4.79162i 0.288536 + 0.293793i
\(267\) −13.2255 + 41.7268i −0.809385 + 2.55364i
\(268\) −2.12460 + 16.7208i −0.129781 + 1.02139i
\(269\) −0.0437734 + 0.807352i −0.00266891 + 0.0492251i −0.999564 0.0295099i \(-0.990605\pi\)
0.996896 + 0.0787350i \(0.0250881\pi\)
\(270\) −1.51772 + 1.78680i −0.0923654 + 0.108741i
\(271\) −0.608181 + 6.71862i −0.0369444 + 0.408127i 0.956325 + 0.292304i \(0.0944219\pi\)
−0.993270 + 0.115823i \(0.963049\pi\)
\(272\) −0.333904 0.169374i −0.0202459 0.0102698i
\(273\) −11.9738 33.5240i −0.724684 2.02897i
\(274\) 2.34747 2.76366i 0.141816 0.166959i
\(275\) −2.86530 + 0.207294i −0.172784 + 0.0125003i
\(276\) −3.86281 + 6.16526i −0.232514 + 0.371105i
\(277\) 6.36911 + 5.21497i 0.382683 + 0.313337i 0.805184 0.593025i \(-0.202066\pi\)
−0.422502 + 0.906362i \(0.638848\pi\)
\(278\) 14.3019 + 5.40127i 0.857768 + 0.323947i
\(279\) 9.96434 + 2.57375i 0.596549 + 0.154087i
\(280\) 9.30860 + 23.3628i 0.556296 + 1.39620i
\(281\) −7.07122 + 3.58690i −0.421834 + 0.213976i −0.650464 0.759537i \(-0.725426\pi\)
0.228631 + 0.973513i \(0.426575\pi\)
\(282\) 3.25195 + 3.08041i 0.193651 + 0.183436i
\(283\) −16.5289 9.94508i −0.982538 0.591174i −0.0688664 0.997626i \(-0.521938\pi\)
−0.913672 + 0.406452i \(0.866766\pi\)
\(284\) −3.32202 11.9648i −0.197126 0.709983i
\(285\) 6.65841 2.24348i 0.394410 0.132892i
\(286\) −3.37752 + 2.76549i −0.199717 + 0.163527i
\(287\) 4.58934 + 36.1186i 0.270900 + 2.13201i
\(288\) 1.05436 19.4465i 0.0621288 1.14590i
\(289\) 14.9799 + 5.04731i 0.881169 + 0.296900i
\(290\) 6.41227 2.42167i 0.376542 0.142206i
\(291\) −21.2152 + 2.30729i −1.24365 + 0.135256i
\(292\) 11.8660 0.858463i 0.694406 0.0502377i
\(293\) −3.09763 24.3787i −0.180966 1.42422i −0.781143 0.624352i \(-0.785363\pi\)
0.600177 0.799867i \(-0.295097\pi\)
\(294\) 37.3041 + 6.80947i 2.17562 + 0.397136i
\(295\) 14.2852 10.0668i 0.831714 0.586110i
\(296\) 3.65759 + 4.30605i 0.212593 + 0.250284i
\(297\) −1.85562 + 1.41061i −0.107674 + 0.0818517i
\(298\) 1.19204 + 5.92291i 0.0690531 + 0.343105i
\(299\) 7.08931 0.256108i 0.409985 0.0148111i
\(300\) −5.16109 0.373386i −0.297976 0.0215574i
\(301\) −2.98242 55.0076i −0.171904 3.17058i
\(302\) −10.7254 8.15323i −0.617177 0.469166i
\(303\) −17.1656 + 35.4109i −0.986141 + 2.03430i
\(304\) 0.292713 0.431719i 0.0167882 0.0247608i
\(305\) −0.691052 3.43364i −0.0395695 0.196609i
\(306\) 0.321003 + 3.54614i 0.0183505 + 0.202719i
\(307\) −10.0945 1.46829i −0.576125 0.0837997i −0.150357 0.988632i \(-0.548042\pi\)
−0.425768 + 0.904832i \(0.639996\pi\)
\(308\) 1.48339 + 9.04830i 0.0845242 + 0.515575i
\(309\) 7.48473 + 16.9757i 0.425791 + 0.965713i
\(310\) 1.77459 + 4.45389i 0.100790 + 0.252964i
\(311\) −9.84243 9.32325i −0.558113 0.528673i 0.355811 0.934558i \(-0.384205\pi\)
−0.913924 + 0.405885i \(0.866963\pi\)
\(312\) −18.3731 + 11.0547i −1.04017 + 0.625851i
\(313\) −14.3480 3.15824i −0.811000 0.178515i −0.209935 0.977715i \(-0.567325\pi\)
−0.601064 + 0.799201i \(0.705256\pi\)
\(314\) −14.9527 + 3.29133i −0.843827 + 0.185740i
\(315\) 18.2159 24.8827i 1.02635 1.40198i
\(316\) −3.49016 0.252500i −0.196337 0.0142043i
\(317\) 2.76680 2.81721i 0.155399 0.158230i −0.631362 0.775488i \(-0.717504\pi\)
0.786761 + 0.617258i \(0.211757\pi\)
\(318\) −8.26147 12.1848i −0.463280 0.683288i
\(319\) 6.74398 0.980939i 0.377590 0.0549220i
\(320\) 8.63634 5.63070i 0.482786 0.314766i
\(321\) −2.26057 3.33410i −0.126173 0.186091i
\(322\) −5.07444 + 9.57142i −0.282788 + 0.533394i
\(323\) 0.724774 1.49513i 0.0403275 0.0831914i
\(324\) 7.12698 3.94494i 0.395943 0.219163i
\(325\) 2.52275 + 4.36953i 0.139937 + 0.242378i
\(326\) −0.0435128 2.40974i −0.00240995 0.133463i
\(327\) −26.5254 33.6160i −1.46686 1.85897i
\(328\) 20.7828 7.00254i 1.14754 0.386651i
\(329\) −7.09809 5.81186i −0.391330 0.320418i
\(330\) −6.68526 1.98683i −0.368011 0.109371i
\(331\) −21.1464 + 5.46205i −1.16231 + 0.300221i −0.781184 0.624301i \(-0.785384\pi\)
−0.381129 + 0.924522i \(0.624465\pi\)
\(332\) 0.760827 4.64084i 0.0417558 0.254699i
\(333\) 2.09316 6.60400i 0.114705 0.361897i
\(334\) −19.0789 + 13.4449i −1.04395 + 0.735674i
\(335\) 22.9729 + 12.7160i 1.25514 + 0.694750i
\(336\) −0.0762262 4.22140i −0.00415848 0.230296i
\(337\) −3.45502 2.25259i −0.188207 0.122707i 0.448592 0.893737i \(-0.351926\pi\)
−0.636799 + 0.771030i \(0.719742\pi\)
\(338\) −3.86790 1.78948i −0.210386 0.0973350i
\(339\) −41.2335 9.07618i −2.23950 0.492951i
\(340\) 1.71195 1.50819i 0.0928436 0.0817931i
\(341\) 0.771192 + 4.70406i 0.0417624 + 0.254739i
\(342\) −4.95720 0.179084i −0.268055 0.00968374i
\(343\) −43.7305 4.75598i −2.36122 0.256799i
\(344\) −32.1278 + 8.29851i −1.73222 + 0.447426i
\(345\) 6.69488 + 9.14508i 0.360440 + 0.492355i
\(346\) −2.34262 + 0.884718i −0.125940 + 0.0475627i
\(347\) 16.5115 + 8.37552i 0.886384 + 0.449621i 0.835759 0.549097i \(-0.185028\pi\)
0.0506251 + 0.998718i \(0.483879\pi\)
\(348\) 12.2753 0.658026
\(349\) −14.0304 12.3348i −0.751030 0.660268i
\(350\) −7.70514 −0.411857
\(351\) 3.65094 + 1.85195i 0.194873 + 0.0988498i
\(352\) 8.43892 3.18706i 0.449796 0.169871i
\(353\) −4.12776 5.63844i −0.219698 0.300104i 0.682965 0.730451i \(-0.260690\pi\)
−0.902664 + 0.430347i \(0.858391\pi\)
\(354\) −22.0315 + 5.69066i −1.17096 + 0.302455i
\(355\) −19.2307 2.09147i −1.02066 0.111003i
\(356\) −19.7887 0.714885i −1.04880 0.0378888i
\(357\) −2.17588 13.2723i −0.115160 0.702442i
\(358\) 8.10595 7.14115i 0.428413 0.377422i
\(359\) −14.2683 3.14069i −0.753052 0.165759i −0.178175 0.983999i \(-0.557019\pi\)
−0.574877 + 0.818239i \(0.694950\pi\)
\(360\) −16.8582 7.79944i −0.888506 0.411067i
\(361\) −13.9770 9.11269i −0.735632 0.479615i
\(362\) −0.0738621 4.09048i −0.00388211 0.214991i
\(363\) 18.5700 + 10.2789i 0.974674 + 0.539504i
\(364\) 13.1635 9.27636i 0.689957 0.486213i
\(365\) 5.59968 17.6672i 0.293101 0.924743i
\(366\) −0.737797 + 4.50036i −0.0385652 + 0.235238i
\(367\) 22.7174 5.86784i 1.18584 0.306299i 0.395210 0.918591i \(-0.370672\pi\)
0.790632 + 0.612292i \(0.209752\pi\)
\(368\) 0.806505 + 0.239690i 0.0420420 + 0.0124947i
\(369\) −20.8067 17.0364i −1.08316 0.886879i
\(370\) 3.05847 1.03052i 0.159003 0.0535742i
\(371\) 18.6767 + 23.6693i 0.969644 + 1.22885i
\(372\) 0.155017 + 8.58483i 0.00803726 + 0.445103i
\(373\) 12.0130 + 20.8071i 0.622009 + 1.07735i 0.989111 + 0.147171i \(0.0470167\pi\)
−0.367102 + 0.930181i \(0.619650\pi\)
\(374\) −1.44295 + 0.798706i −0.0746132 + 0.0413001i
\(375\) −13.5886 + 28.0319i −0.701715 + 1.44756i
\(376\) −2.58836 + 4.88217i −0.133485 + 0.251779i
\(377\) −6.71691 9.90671i −0.345939 0.510221i
\(378\) −5.23700 + 3.41441i −0.269362 + 0.175618i
\(379\) −4.63190 + 0.673728i −0.237925 + 0.0346071i −0.261858 0.965106i \(-0.584335\pi\)
0.0239331 + 0.999714i \(0.492381\pi\)
\(380\) 1.78372 + 2.63079i 0.0915030 + 0.134957i
\(381\) −34.1313 + 34.7532i −1.74860 + 1.78046i
\(382\) −23.8457 1.72515i −1.22005 0.0882662i
\(383\) −2.08840 + 2.85271i −0.106712 + 0.145767i −0.856947 0.515405i \(-0.827642\pi\)
0.750235 + 0.661171i \(0.229940\pi\)
\(384\) 14.2956 3.14669i 0.729517 0.160579i
\(385\) 13.9498 + 3.07058i 0.710947 + 0.156491i
\(386\) 10.8730 6.54205i 0.553420 0.332982i
\(387\) 29.5394 + 27.9812i 1.50157 + 1.42237i
\(388\) −3.57324 8.96815i −0.181404 0.455289i
\(389\) −5.31447 12.0535i −0.269455 0.611134i 0.727751 0.685841i \(-0.240566\pi\)
−0.997206 + 0.0747070i \(0.976198\pi\)
\(390\) 1.98165 + 12.0875i 0.100345 + 0.612077i
\(391\) 2.65227 + 0.385783i 0.134131 + 0.0195099i
\(392\) 4.21741 + 46.5900i 0.213011 + 2.35315i
\(393\) −3.14267 15.6150i −0.158527 0.787673i
\(394\) 6.92479 10.2133i 0.348866 0.514539i
\(395\) −2.37786 + 4.90528i −0.119643 + 0.246811i
\(396\) −5.39136 4.09841i −0.270926 0.205953i
\(397\) 1.71863 + 31.6982i 0.0862555 + 1.59089i 0.646731 + 0.762718i \(0.276136\pi\)
−0.560476 + 0.828171i \(0.689382\pi\)
\(398\) 21.4056 + 1.54862i 1.07297 + 0.0776251i
\(399\) 18.7246 0.676444i 0.937402 0.0338646i
\(400\) 0.118070 + 0.586653i 0.00590348 + 0.0293326i
\(401\) 1.24545 0.946763i 0.0621946 0.0472791i −0.573615 0.819125i \(-0.694459\pi\)
0.635810 + 0.771846i \(0.280666\pi\)
\(402\) −22.1333 26.0573i −1.10391 1.29962i
\(403\) 6.84350 4.82263i 0.340899 0.240232i
\(404\) −17.5125 3.19672i −0.871281 0.159043i
\(405\) −1.59955 12.5886i −0.0794825 0.625535i
\(406\) 18.2308 1.31893i 0.904779 0.0654574i
\(407\) 3.19007 0.346941i 0.158126 0.0171972i
\(408\) −7.57875 + 2.86221i −0.375204 + 0.141700i
\(409\) 12.1754 + 4.10236i 0.602034 + 0.202849i 0.603782 0.797150i \(-0.293660\pi\)
−0.00174789 + 0.999998i \(0.500556\pi\)
\(410\) 0.678247 12.5095i 0.0334962 0.617801i
\(411\) −1.27516 10.0356i −0.0628988 0.495020i
\(412\) −6.49363 + 5.31693i −0.319918 + 0.261946i
\(413\) 44.1634 14.8804i 2.17314 0.732215i
\(414\) −2.14063 7.70986i −0.105206 0.378919i
\(415\) −6.27740 3.77699i −0.308145 0.185405i
\(416\) −11.5020 10.8953i −0.563931 0.534184i
\(417\) 38.0372 19.2945i 1.86269 0.944856i
\(418\) −0.850439 2.13444i −0.0415963 0.104399i
\(419\) 32.5947 + 8.41909i 1.59235 + 0.411300i 0.938488 0.345311i \(-0.112226\pi\)
0.653866 + 0.756610i \(0.273146\pi\)
\(420\) 24.0691 + 9.08999i 1.17445 + 0.443546i
\(421\) −23.9932 19.6455i −1.16936 0.957462i −0.169752 0.985487i \(-0.554297\pi\)
−0.999607 + 0.0280247i \(0.991078\pi\)
\(422\) −5.57704 + 8.90127i −0.271486 + 0.433307i
\(423\) 6.75817 0.488929i 0.328593 0.0237725i
\(424\) 11.7572 13.8416i 0.570980 0.672210i
\(425\) 0.641184 + 1.79518i 0.0311020 + 0.0870791i
\(426\) 22.4625 + 11.3942i 1.08831 + 0.552050i
\(427\) 0.842037 9.30205i 0.0407490 0.450158i
\(428\) 1.17970 1.38885i 0.0570231 0.0671328i
\(429\) −0.659333 + 12.1607i −0.0318329 + 0.587123i
\(430\) −2.38930 + 18.8041i −0.115222 + 0.906813i
\(431\) −3.50170 + 11.0480i −0.168671 + 0.532162i −0.999711 0.0240504i \(-0.992344\pi\)
0.831040 + 0.556213i \(0.187746\pi\)
\(432\) 0.340215 + 0.346414i 0.0163686 + 0.0166668i
\(433\) 13.8174 + 9.73715i 0.664022 + 0.467938i 0.858394 0.512990i \(-0.171462\pi\)
−0.194372 + 0.980928i \(0.562267\pi\)
\(434\) 1.15263 + 12.7332i 0.0553279 + 0.611212i
\(435\) 7.07803 17.7645i 0.339366 0.851744i
\(436\) 11.4426 15.6303i 0.548000 0.748557i
\(437\) −0.998906 + 3.59774i −0.0477842 + 0.172103i
\(438\) −14.9482 + 18.9441i −0.714254 + 0.905186i
\(439\) −10.1881 + 5.63935i −0.486252 + 0.269152i −0.708335 0.705876i \(-0.750554\pi\)
0.222083 + 0.975028i \(0.428714\pi\)
\(440\) 0.155334 8.60236i 0.00740524 0.410101i
\(441\) 45.6658 34.7142i 2.17456 1.65306i
\(442\) 2.36774 + 1.66855i 0.112622 + 0.0793648i
\(443\) 6.00051 + 12.3784i 0.285093 + 0.588116i 0.992990 0.118199i \(-0.0377122\pi\)
−0.707897 + 0.706316i \(0.750356\pi\)
\(444\) 5.77618 + 0.208670i 0.274125 + 0.00990304i
\(445\) −12.4448 + 28.2255i −0.589942 + 1.33801i
\(446\) −7.46567 1.92836i −0.353510 0.0913104i
\(447\) 14.4427 + 8.68991i 0.683118 + 0.411019i
\(448\) 26.3538 7.83224i 1.24510 0.370038i
\(449\) 34.9032 + 16.1479i 1.64718 + 0.762068i 1.00000 0.000267932i \(-8.52853e-5\pi\)
0.647182 + 0.762335i \(0.275947\pi\)
\(450\) 4.13164 3.91370i 0.194768 0.184494i
\(451\) 3.33231 12.0019i 0.156913 0.565148i
\(452\) −1.03403 19.0715i −0.0486366 0.897049i
\(453\) −36.9757 + 6.74951i −1.73727 + 0.317120i
\(454\) 12.4265 8.10182i 0.583206 0.380237i
\(455\) −5.83433 24.3987i −0.273517 1.14383i
\(456\) −2.62477 10.9766i −0.122916 0.514026i
\(457\) 24.3010 3.53467i 1.13675 0.165345i 0.450546 0.892753i \(-0.351229\pi\)
0.686205 + 0.727408i \(0.259275\pi\)
\(458\) 0.281719 + 0.888835i 0.0131639 + 0.0415325i
\(459\) 1.23130 + 0.936013i 0.0574723 + 0.0436893i
\(460\) −3.17597 + 4.02496i −0.148081 + 0.187665i
\(461\) 7.22402 20.2258i 0.336456 0.942008i −0.647258 0.762271i \(-0.724085\pi\)
0.983715 0.179737i \(-0.0575246\pi\)
\(462\) −15.5795 10.1575i −0.724823 0.472569i
\(463\) −8.74587 3.66900i −0.406455 0.170513i 0.174111 0.984726i \(-0.444295\pi\)
−0.580566 + 0.814213i \(0.697169\pi\)
\(464\) −0.379779 1.36784i −0.0176308 0.0635005i
\(465\) 12.5131 + 4.72574i 0.580282 + 0.219151i
\(466\) −17.6952 19.3694i −0.819716 0.897269i
\(467\) 34.5831 + 3.76114i 1.60031 + 0.174045i 0.864320 0.502943i \(-0.167749\pi\)
0.735995 + 0.676987i \(0.236715\pi\)
\(468\) −2.34676 + 11.6604i −0.108479 + 0.539000i
\(469\) 49.0631 + 49.9570i 2.26552 + 2.30680i
\(470\) 2.04356 + 2.40587i 0.0942624 + 0.110974i
\(471\) −21.3573 + 36.9920i −0.984093 + 1.70450i
\(472\) −14.0355 24.3103i −0.646038 1.11897i
\(473\) −6.33913 + 17.7483i −0.291474 + 0.816066i
\(474\) 5.15299 4.88117i 0.236684 0.224199i
\(475\) −2.59357 + 0.570888i −0.119001 + 0.0261941i
\(476\) 5.52185 2.55468i 0.253094 0.117094i
\(477\) −22.0372 3.20540i −1.00901 0.146765i
\(478\) −4.95720 10.2262i −0.226737 0.467734i
\(479\) −2.46826 + 12.2641i −0.112778 + 0.560359i 0.883064 + 0.469253i \(0.155477\pi\)
−0.995841 + 0.0911056i \(0.970960\pi\)
\(480\) 4.09502 24.9785i 0.186911 1.14011i
\(481\) −2.99225 4.77580i −0.136435 0.217758i
\(482\) 12.0467 + 4.05900i 0.548712 + 0.184883i
\(483\) 10.1660 + 28.4627i 0.462569 + 1.29510i
\(484\) −2.23304 + 9.33839i −0.101502 + 0.424472i
\(485\) −15.0388 −0.682877
\(486\) −4.74938 + 19.8616i −0.215436 + 0.900939i
\(487\) 2.98549 32.9809i 0.135285 1.49451i −0.590753 0.806853i \(-0.701169\pi\)
0.726038 0.687654i \(-0.241360\pi\)
\(488\) −5.59298 + 0.608274i −0.253183 + 0.0275353i
\(489\) −5.04531 4.44481i −0.228157 0.201001i
\(490\) 25.6159 + 7.61293i 1.15721 + 0.343917i
\(491\) −0.754998 0.826428i −0.0340726 0.0372962i 0.721021 0.692913i \(-0.243673\pi\)
−0.755094 + 0.655617i \(0.772409\pi\)
\(492\) 9.05149 20.5292i 0.408073 0.925527i
\(493\) −1.82437 4.13774i −0.0821653 0.186355i
\(494\) −2.72175 + 2.97925i −0.122457 + 0.134043i
\(495\) −9.03980 + 5.43907i −0.406309 + 0.244468i
\(496\) 0.951814 0.282875i 0.0427377 0.0127015i
\(497\) −47.5687 19.9556i −2.13375 0.895132i
\(498\) 5.90890 + 7.48845i 0.264784 + 0.335565i
\(499\) 6.97918 2.92785i 0.312431 0.131068i −0.225043 0.974349i \(-0.572252\pi\)
0.537474 + 0.843280i \(0.319379\pi\)
\(500\) −13.8632 2.53059i −0.619983 0.113171i
\(501\) −8.20791 + 64.5971i −0.366703 + 2.88599i
\(502\) −0.807953 1.28954i −0.0360607 0.0575549i
\(503\) −1.67085 2.28235i −0.0744994 0.101765i 0.768034 0.640410i \(-0.221235\pi\)
−0.842533 + 0.538645i \(0.818937\pi\)
\(504\) −37.1678 32.7440i −1.65559 1.45853i
\(505\) −14.7241 + 23.5004i −0.655212 + 1.04576i
\(506\) 2.86760 2.34797i 0.127480 0.104380i
\(507\) −10.9642 + 4.59959i −0.486935 + 0.204275i
\(508\) −19.2791 10.6714i −0.855370 0.473467i
\(509\) 1.04136 1.80369i 0.0461575 0.0799471i −0.842024 0.539441i \(-0.818636\pi\)
0.888181 + 0.459494i \(0.151969\pi\)
\(510\) −0.0835508 + 4.62703i −0.00369969 + 0.204889i
\(511\) 27.7355 40.9068i 1.22695 1.80961i
\(512\) −1.81084 3.41561i −0.0800287 0.150950i
\(513\) −1.50981 + 1.53732i −0.0666597 + 0.0678742i
\(514\) 10.5631 1.92818i 0.465918 0.0850482i
\(515\) 3.95025 + 12.4632i 0.174069 + 0.549194i
\(516\) −15.9009 + 29.9923i −0.700000 + 1.32034i
\(517\) 1.47010 + 2.77290i 0.0646549 + 0.121952i
\(518\) 8.60095 0.310718i 0.377904 0.0136522i
\(519\) −2.58584 + 6.48997i −0.113506 + 0.284878i
\(520\) −13.7142 + 6.34487i −0.601408 + 0.278241i
\(521\) −17.5362 + 15.4490i −0.768275 + 0.676833i −0.951984 0.306148i \(-0.900960\pi\)
0.183709 + 0.982981i \(0.441190\pi\)
\(522\) −9.10576 + 9.96726i −0.398548 + 0.436255i
\(523\) 32.7908 16.6333i 1.43384 0.727321i 0.447850 0.894109i \(-0.352190\pi\)
0.985993 + 0.166787i \(0.0533393\pi\)
\(524\) 6.42602 3.25962i 0.280722 0.142397i
\(525\) −14.4989 + 15.8706i −0.632782 + 0.692650i
\(526\) −5.82258 + 5.12956i −0.253876 + 0.223659i
\(527\) 2.87072 1.32814i 0.125051 0.0578545i
\(528\) −0.534636 + 1.34184i −0.0232671 + 0.0583959i
\(529\) 16.9660 0.612914i 0.737653 0.0266484i
\(530\) −4.85947 9.16592i −0.211082 0.398142i
\(531\) −16.1230 + 30.4112i −0.699678 + 1.31973i
\(532\) 2.56096 + 8.07991i 0.111032 + 0.350309i
\(533\) −21.5208 + 3.92839i −0.932169 + 0.170157i
\(534\) 28.1433 28.6561i 1.21788 1.24007i
\(535\) −1.32969 2.50806i −0.0574874 0.108433i
\(536\) 23.6690 34.9092i 1.02235 1.50785i
\(537\) 0.544128 30.1338i 0.0234809 1.30037i
\(538\) 0.370949 0.642503i 0.0159928 0.0277003i
\(539\) 23.2461 + 12.8673i 1.00128 + 0.554232i
\(540\) −2.72840 + 1.14460i −0.117412 + 0.0492555i
\(541\) −18.8196 + 15.4093i −0.809116 + 0.662498i −0.944579 0.328285i \(-0.893529\pi\)
0.135463 + 0.990782i \(0.456748\pi\)
\(542\) 3.28656 5.24553i 0.141170 0.225315i
\(543\) −8.56432 7.54497i −0.367530 0.323785i
\(544\) −3.53577 4.82980i −0.151595 0.207076i
\(545\) −16.0219 25.5719i −0.686305 1.09538i
\(546\) −4.11731 + 32.4036i −0.176205 + 1.38675i
\(547\) 6.07075 + 1.10815i 0.259566 + 0.0473810i 0.307786 0.951456i \(-0.400412\pi\)
−0.0482191 + 0.998837i \(0.515355\pi\)
\(548\) 4.22005 1.77036i 0.180272 0.0756260i
\(549\) 4.27331 + 5.41563i 0.182380 + 0.231134i
\(550\) 2.43078 + 1.01974i 0.103649 + 0.0434820i
\(551\) 6.03880 1.79471i 0.257262 0.0764570i
\(552\) 15.5992 9.38573i 0.663946 0.399483i
\(553\) −9.80479 + 10.7324i −0.416942 + 0.456389i
\(554\) −3.04726 6.91131i −0.129466 0.293633i
\(555\) 3.63256 8.23881i 0.154194 0.349718i
\(556\) 13.0136 + 14.2448i 0.551898 + 0.604113i
\(557\) −2.16909 0.644644i −0.0919073 0.0273145i 0.238600 0.971118i \(-0.423312\pi\)
−0.330507 + 0.943804i \(0.607220\pi\)
\(558\) −7.08567 6.24231i −0.299960 0.264258i
\(559\) 32.9059 3.57873i 1.39177 0.151364i
\(560\) 0.268239 2.96325i 0.0113352 0.125220i
\(561\) −1.07009 + 4.47504i −0.0451792 + 0.188936i
\(562\) 7.27543 0.306896
\(563\) 3.34856 14.0034i 0.141125 0.590175i −0.856171 0.516692i \(-0.827163\pi\)
0.997296 0.0734828i \(-0.0234114\pi\)
\(564\) 1.90149 + 5.32379i 0.0800673 + 0.224172i
\(565\) −28.1960 9.50035i −1.18622 0.399683i
\(566\) 9.39774 + 14.9993i 0.395016 + 0.630469i
\(567\) 5.47471 33.3943i 0.229916 1.40243i
\(568\) −6.13061 + 30.4612i −0.257235 + 1.27812i
\(569\) 12.5826 + 25.9566i 0.527491 + 1.08816i 0.980476 + 0.196639i \(0.0630026\pi\)
−0.452985 + 0.891518i \(0.649641\pi\)
\(570\) −6.37998 0.927993i −0.267228 0.0388694i
\(571\) 0.181582 0.0840086i 0.00759895 0.00351565i −0.416086 0.909325i \(-0.636598\pi\)
0.423685 + 0.905810i \(0.360736\pi\)
\(572\) −5.38046 + 1.18433i −0.224968 + 0.0495193i
\(573\) −48.4241 + 45.8697i −2.02294 + 1.91623i
\(574\) 11.2371 31.4616i 0.469028 1.31318i
\(575\) −2.14188 3.70984i −0.0893224 0.154711i
\(576\) −10.1532 + 17.5858i −0.423048 + 0.732741i
\(577\) −11.0834 13.0484i −0.461408 0.543212i 0.481420 0.876490i \(-0.340121\pi\)
−0.942829 + 0.333278i \(0.891845\pi\)
\(578\) −10.1632 10.3484i −0.422734 0.430436i
\(579\) 6.98488 34.7058i 0.290282 1.44232i
\(580\) 8.59990 + 0.935296i 0.357091 + 0.0388360i
\(581\) −13.1769 14.4236i −0.546672 0.598393i
\(582\) 18.3185 + 6.91822i 0.759328 + 0.286770i
\(583\) −2.75951 9.93885i −0.114287 0.411625i
\(584\) −27.4519 11.5164i −1.13597 0.476553i
\(585\) 15.5214 + 10.1196i 0.641731 + 0.418394i
\(586\) −7.58464 + 21.2354i −0.313318 + 0.877227i
\(587\) 23.4979 29.7793i 0.969862 1.22912i −0.00353366 0.999994i \(-0.501125\pi\)
0.973396 0.229129i \(-0.0735878\pi\)
\(588\) 38.0996 + 28.9626i 1.57120 + 1.19440i
\(589\) 1.33140 + 4.20061i 0.0548594 + 0.173083i
\(590\) −15.8685 + 2.30814i −0.653296 + 0.0950245i
\(591\) −8.00631 33.4818i −0.329336 1.37726i
\(592\) −0.155454 0.650097i −0.00638911 0.0267188i
\(593\) −30.1579 + 19.6623i −1.23844 + 0.807433i −0.987044 0.160453i \(-0.948705\pi\)
−0.251393 + 0.967885i \(0.580889\pi\)
\(594\) 2.10403 0.384068i 0.0863294 0.0157585i
\(595\) −0.513130 9.46412i −0.0210363 0.387991i
\(596\) −2.03990 + 7.34706i −0.0835576 + 0.300947i
\(597\) 43.4689 41.1759i 1.77906 1.68522i
\(598\) −5.90764 2.73316i −0.241581 0.111767i
\(599\) 19.0767 5.66953i 0.779454 0.231651i 0.129455 0.991585i \(-0.458677\pi\)
0.649999 + 0.759935i \(0.274769\pi\)
\(600\) 11.0948 + 6.67552i 0.452943 + 0.272527i
\(601\) 44.2471 + 11.4289i 1.80488 + 0.466194i 0.993049 0.117703i \(-0.0375529\pi\)
0.811828 + 0.583896i \(0.198472\pi\)
\(602\) −20.3928 + 46.2518i −0.831150 + 1.88508i
\(603\) −51.6834 1.86711i −2.10471 0.0760347i
\(604\) −7.41692 15.3003i −0.301790 0.622561i
\(605\) 12.2267 + 8.61617i 0.497086 + 0.350297i
\(606\) 28.7459 21.8521i 1.16772 0.887680i
\(607\) −0.000436056 0.0241488i −1.76990e−5 0.000980168i −0.999846 0.0175641i \(-0.994409\pi\)
0.999828 + 0.0185442i \(0.00590315\pi\)
\(608\) 7.29576 4.03837i 0.295882 0.163778i
\(609\) 31.5884 40.0326i 1.28003 1.62220i
\(610\) −0.859786 + 3.09667i −0.0348117 + 0.125380i
\(611\) 3.25605 4.44770i 0.131726 0.179935i
\(612\) −1.66331 + 4.17460i −0.0672355 + 0.168748i
\(613\) −3.75383 41.4688i −0.151616 1.67491i −0.614828 0.788661i \(-0.710774\pi\)
0.463212 0.886247i \(-0.346697\pi\)
\(614\) 7.65108 + 5.39173i 0.308772 + 0.217592i
\(615\) −24.4901 24.9363i −0.987537 1.00553i
\(616\) 6.93220 21.8713i 0.279306 0.881222i
\(617\) −2.76899 + 21.7922i −0.111475 + 0.877321i 0.834031 + 0.551717i \(0.186027\pi\)
−0.945506 + 0.325604i \(0.894432\pi\)
\(618\) 0.921628 16.9984i 0.0370733 0.683777i
\(619\) 24.2526 28.5524i 0.974795 1.14762i −0.0142348 0.999899i \(-0.504531\pi\)
0.989029 0.147718i \(-0.0471929\pi\)
\(620\) −0.545503 + 6.02621i −0.0219079 + 0.242019i
\(621\) −3.09974 1.57235i −0.124388 0.0630963i
\(622\) 4.18422 + 11.7150i 0.167772 + 0.469727i
\(623\) −53.2542 + 62.6957i −2.13358 + 2.51185i
\(624\) 2.53023 0.183053i 0.101290 0.00732799i
\(625\) −7.02205 + 11.2076i −0.280882 + 0.448304i
\(626\) 10.4303 + 8.54027i 0.416880 + 0.341338i
\(627\) −5.99668 2.26472i −0.239484 0.0904441i
\(628\) −18.7090 4.83247i −0.746570 0.192836i
\(629\) −0.788121 1.97804i −0.0314245 0.0788694i
\(630\) −25.2352 + 12.8006i −1.00539 + 0.509989i
\(631\) 5.54227 + 5.24992i 0.220634 + 0.208996i 0.790031 0.613067i \(-0.210064\pi\)
−0.569397 + 0.822063i \(0.692823\pi\)
\(632\) 7.50281 + 4.51429i 0.298446 + 0.179569i
\(633\) 7.83994 + 28.2369i 0.311609 + 1.12232i
\(634\) −3.43354 + 1.15690i −0.136363 + 0.0459462i
\(635\) −26.5598 + 21.7470i −1.05399 + 0.863002i
\(636\) −2.34193 18.4312i −0.0928636 0.730846i
\(637\) 2.52636 46.5960i 0.100098 1.84620i
\(638\) −5.92592 1.99668i −0.234609 0.0790491i
\(639\) 35.6434 13.4611i 1.41003 0.532515i
\(640\) 10.2550 1.11530i 0.405364 0.0440860i
\(641\) 35.2359 2.54919i 1.39173 0.100687i 0.644173 0.764880i \(-0.277202\pi\)
0.747561 + 0.664193i \(0.231225\pi\)
\(642\) 0.465905 + 3.66672i 0.0183878 + 0.144714i
\(643\) 21.7246 + 3.96558i 0.856733 + 0.156387i 0.590020 0.807389i \(-0.299120\pi\)
0.266713 + 0.963776i \(0.414062\pi\)
\(644\) −11.1762 + 7.87586i −0.440402 + 0.310352i
\(645\) 34.2355 + 40.3052i 1.34802 + 1.58702i
\(646\) −1.21372 + 0.922647i −0.0477532 + 0.0363010i
\(647\) 1.50850 + 7.49529i 0.0593052 + 0.294670i 0.998860 0.0477272i \(-0.0151978\pi\)
−0.939555 + 0.342398i \(0.888761\pi\)
\(648\) −20.3702 + 0.735892i −0.800215 + 0.0289085i
\(649\) −15.9018 1.15044i −0.624201 0.0451586i
\(650\) −0.250644 4.62286i −0.00983107 0.181323i
\(651\) 28.3960 + 21.5861i 1.11293 + 0.846024i
\(652\) 1.32683 2.73710i 0.0519626 0.107193i
\(653\) −0.207142 + 0.305512i −0.00810610 + 0.0119556i −0.831720 0.555195i \(-0.812644\pi\)
0.823614 + 0.567150i \(0.191954\pi\)
\(654\) 7.75237 + 38.5193i 0.303142 + 1.50622i
\(655\) −1.01195 11.1791i −0.0395401 0.436803i
\(656\) −2.56761 0.373469i −0.100248 0.0145815i
\(657\) 5.90564 + 36.0228i 0.230401 + 1.40538i
\(658\) 3.39603 + 7.70235i 0.132391 + 0.300269i
\(659\) −8.38714 21.0501i −0.326717 0.819997i −0.996964 0.0778595i \(-0.975191\pi\)
0.670248 0.742137i \(-0.266188\pi\)
\(660\) −6.39019 6.05311i −0.248738 0.235617i
\(661\) 0.348782 0.209855i 0.0135661 0.00816243i −0.508755 0.860912i \(-0.669894\pi\)
0.522321 + 0.852749i \(0.325066\pi\)
\(662\) 19.5718 + 4.30809i 0.760681 + 0.167439i
\(663\) 7.89218 1.73720i 0.306507 0.0674673i
\(664\) −6.95122 + 9.49524i −0.269760 + 0.368487i
\(665\) 13.1697 + 0.952780i 0.510699 + 0.0369472i
\(666\) −4.45417 + 4.53533i −0.172596 + 0.175740i
\(667\) 5.70282 + 8.41104i 0.220814 + 0.325677i
\(668\) −29.1503 + 4.24003i −1.12786 + 0.164052i
\(669\) −18.0202 + 11.7487i −0.696700 + 0.454233i
\(670\) −13.5208 19.9417i −0.522355 0.770416i
\(671\) −1.49673 + 2.82313i −0.0577806 + 0.108986i
\(672\) 29.4436 60.7391i 1.13581 2.34306i
\(673\) 31.2616 17.3040i 1.20505 0.667021i 0.251381 0.967888i \(-0.419115\pi\)
0.953666 + 0.300868i \(0.0972763\pi\)
\(674\) 1.89227 + 3.27751i 0.0728875 + 0.126245i
\(675\) −0.0446313 2.47168i −0.00171786 0.0951348i
\(676\) −3.33181 4.22246i −0.128146 0.162402i
\(677\) 6.74994 2.27432i 0.259421 0.0874092i −0.186586 0.982439i \(-0.559742\pi\)
0.446007 + 0.895029i \(0.352846\pi\)
\(678\) 29.9747 + 24.5431i 1.15117 + 0.942572i
\(679\) −38.4422 11.4249i −1.47528 0.438446i
\(680\) −5.52764 + 1.42777i −0.211975 + 0.0547525i
\(681\) 6.69550 40.8408i 0.256572 1.56502i
\(682\) 1.32155 4.16955i 0.0506049 0.159660i
\(683\) −4.00920 + 2.82529i −0.153408 + 0.108107i −0.650201 0.759762i \(-0.725315\pi\)
0.496793 + 0.867869i \(0.334511\pi\)
\(684\) −5.47730 3.03181i −0.209430 0.115924i
\(685\) −0.128710 7.12794i −0.00491775 0.272345i
\(686\) 33.8114 + 22.0442i 1.29092 + 0.841653i
\(687\) 2.36089 + 1.09226i 0.0900734 + 0.0416724i
\(688\) 3.83400 + 0.843928i 0.146170 + 0.0321744i
\(689\) −13.5933 + 11.9754i −0.517864 + 0.456226i
\(690\) −1.68247 10.2626i −0.0640506 0.390691i
\(691\) −44.9613 1.62427i −1.71041 0.0617901i −0.836525 0.547929i \(-0.815416\pi\)
−0.873882 + 0.486139i \(0.838405\pi\)
\(692\) −3.14183 0.341695i −0.119434 0.0129893i
\(693\) −27.2396 + 7.03588i −1.03475 + 0.267271i
\(694\) −10.0351 13.7077i −0.380926 0.520338i
\(695\) 28.1184 10.6193i 1.06659 0.402811i
\(696\) −27.3936 13.8955i −1.03835 0.526707i
\(697\) −8.26517 −0.313066
\(698\) 6.36123 + 15.9178i 0.240776 + 0.602498i
\(699\) −73.1933 −2.76842
\(700\) −8.67247 4.39914i −0.327788 0.166272i
\(701\) −40.4409 + 15.2730i −1.52743 + 0.576854i −0.967763 0.251862i \(-0.918957\pi\)
−0.559670 + 0.828716i \(0.689072\pi\)
\(702\) −2.21890 3.03098i −0.0837470 0.114397i
\(703\) 2.87208 0.741848i 0.108323 0.0279793i
\(704\) −9.35054 1.01693i −0.352412 0.0383271i
\(705\) 8.80086 + 0.317939i 0.331459 + 0.0119743i
\(706\) 1.03734 + 6.32747i 0.0390407 + 0.238137i
\(707\) −55.4907 + 48.8861i −2.08694 + 1.83855i
\(708\) −28.0464 6.17347i −1.05405 0.232013i
\(709\) 1.72963 + 0.800212i 0.0649576 + 0.0300526i 0.452099 0.891968i \(-0.350675\pi\)
−0.387141 + 0.922020i \(0.626537\pi\)
\(710\) 14.8687 + 9.69407i 0.558013 + 0.363812i
\(711\) −0.193845 10.7351i −0.00726976 0.402598i
\(712\) 43.3511 + 23.9958i 1.62465 + 0.899282i
\(713\) −5.81030 + 4.09453i −0.217597 + 0.153341i
\(714\) −3.72869 + 11.7642i −0.139543 + 0.440263i
\(715\) −1.38848 + 8.46935i −0.0519262 + 0.316736i
\(716\) 13.2007 3.40970i 0.493334 0.127426i
\(717\) −30.3913 9.03216i −1.13498 0.337312i
\(718\) 10.3724 + 8.49281i 0.387093 + 0.316949i
\(719\) 21.9279 7.38838i 0.817774 0.275540i 0.120837 0.992672i \(-0.461442\pi\)
0.696937 + 0.717132i \(0.254546\pi\)
\(720\) 1.36130 + 1.72520i 0.0507327 + 0.0642944i
\(721\) 0.629459 + 34.8594i 0.0234423 + 1.29823i
\(722\) 7.65503 + 13.2589i 0.284891 + 0.493445i
\(723\) 31.0289 17.1752i 1.15398 0.638753i
\(724\) 2.25226 4.64618i 0.0837046 0.172674i
\(725\) −3.38551 + 6.38575i −0.125735 + 0.237161i
\(726\) −10.9295 16.1198i −0.405632 0.598262i
\(727\) −15.7583 + 10.2741i −0.584444 + 0.381044i −0.804065 0.594541i \(-0.797334\pi\)
0.219622 + 0.975585i \(0.429518\pi\)
\(728\) −39.8764 + 5.80018i −1.47792 + 0.214969i
\(729\) 20.1302 + 29.6898i 0.745563 + 1.09962i
\(730\) −11.9159 + 12.1330i −0.441027 + 0.449063i
\(731\) 12.4730 + 0.902374i 0.461329 + 0.0333755i
\(732\) −3.39983 + 4.64411i −0.125661 + 0.171651i
\(733\) −8.30121 + 1.82723i −0.306612 + 0.0674904i −0.365611 0.930768i \(-0.619140\pi\)
0.0589993 + 0.998258i \(0.481209\pi\)
\(734\) −21.0259 4.62814i −0.776079 0.170828i
\(735\) 63.8824 38.4368i 2.35634 1.41776i
\(736\) 9.76546 + 9.25034i 0.359960 + 0.340972i
\(737\) −8.86661 22.2535i −0.326606 0.819718i
\(738\) 9.95485 + 22.5780i 0.366443 + 0.831108i
\(739\) 7.71775 + 47.0762i 0.283902 + 1.73173i 0.615351 + 0.788253i \(0.289014\pi\)
−0.331449 + 0.943473i \(0.607537\pi\)
\(740\) 4.03080 + 0.586296i 0.148175 + 0.0215527i
\(741\) 1.01495 + 11.2122i 0.0372850 + 0.411890i
\(742\) −5.45849 27.1216i −0.200388 0.995667i
\(743\) 1.56423 2.30707i 0.0573862 0.0846383i −0.797913 0.602772i \(-0.794063\pi\)
0.855300 + 0.518134i \(0.173373\pi\)
\(744\) 9.37197 19.3334i 0.343593 0.708796i
\(745\) 9.45625 + 7.18846i 0.346450 + 0.263365i
\(746\) −1.19353 22.0134i −0.0436984 0.805969i
\(747\) 14.3920 + 1.04121i 0.526575 + 0.0380958i
\(748\) −2.08011 + 0.0751460i −0.0760564 + 0.00274761i
\(749\) −1.49360 7.42125i −0.0545749 0.271167i
\(750\) 22.7558 17.2985i 0.830924 0.631652i
\(751\) 22.4558 + 26.4370i 0.819422 + 0.964698i 0.999821 0.0188950i \(-0.00601482\pi\)
−0.180399 + 0.983593i \(0.557739\pi\)
\(752\) 0.534401 0.376593i 0.0194876 0.0137329i
\(753\) −4.17645 0.762366i −0.152198 0.0277822i
\(754\) 1.38436 + 10.8950i 0.0504153 + 0.396773i
\(755\) −26.4189 + 1.91131i −0.961480 + 0.0695596i
\(756\) −7.84388 + 0.853073i −0.285279 + 0.0310260i
\(757\) −25.0979 + 9.47852i −0.912197 + 0.344502i −0.764570 0.644541i \(-0.777049\pi\)
−0.147627 + 0.989043i \(0.547164\pi\)
\(758\) 4.07004 + 1.37136i 0.147831 + 0.0498099i
\(759\) 0.559790 10.3247i 0.0203191 0.374763i
\(760\) −1.00253 7.89002i −0.0363656 0.286201i
\(761\) −16.5777 + 13.5737i −0.600942 + 0.492046i −0.884270 0.466977i \(-0.845343\pi\)
0.283328 + 0.959023i \(0.408562\pi\)
\(762\) 42.3562 14.2715i 1.53440 0.517001i
\(763\) −21.5285 77.5387i −0.779385 2.80709i
\(764\) −25.8544 15.5561i −0.935378 0.562798i
\(765\) 5.08230 + 4.81421i 0.183751 + 0.174058i
\(766\) 2.89313 1.46755i 0.104533 0.0530247i
\(767\) 10.3644 + 26.0127i 0.374236 + 0.939263i
\(768\) −41.3341 10.6765i −1.49152 0.385253i
\(769\) 27.8657 + 10.5238i 1.00486 + 0.379499i 0.800459 0.599387i \(-0.204589\pi\)
0.204405 + 0.978886i \(0.434474\pi\)
\(770\) −10.1408 8.30322i −0.365450 0.299227i
\(771\) 15.9051 25.3855i 0.572809 0.914236i
\(772\) 15.9731 1.15559i 0.574884 0.0415907i
\(773\) 19.0750 22.4568i 0.686079 0.807714i −0.303328 0.952886i \(-0.598098\pi\)
0.989406 + 0.145172i \(0.0463736\pi\)
\(774\) −12.5578 35.1593i −0.451382 1.26378i
\(775\) −4.50867 2.28704i −0.161956 0.0821528i
\(776\) −2.17778 + 24.0581i −0.0781779 + 0.863637i
\(777\) 15.5445 18.3004i 0.557657 0.656524i
\(778\) −0.654395 + 12.0696i −0.0234612 + 0.432716i
\(779\) 1.45139 11.4226i 0.0520016 0.409258i
\(780\) −4.67077 + 14.7364i −0.167240 + 0.527649i
\(781\) 12.3657 + 12.5910i 0.442480 + 0.450542i
\(782\) −2.01027 1.41664i −0.0718870 0.0506589i
\(783\) 0.528690 + 5.84048i 0.0188938 + 0.208722i
\(784\) 2.04856 5.14151i 0.0731630 0.183625i
\(785\) −17.7811 + 24.2887i −0.634636 + 0.866901i
\(786\) −3.91001 + 14.0826i −0.139466 + 0.502309i
\(787\) 0.418346 0.530177i 0.0149124 0.0188988i −0.777524 0.628853i \(-0.783525\pi\)
0.792437 + 0.609954i \(0.208812\pi\)
\(788\) 13.6253 7.54190i 0.485381 0.268669i
\(789\) −0.390852 + 21.6454i −0.0139147 + 0.770595i
\(790\) 3.98201 3.02705i 0.141674 0.107698i
\(791\) −64.8574 45.7051i −2.30606 1.62509i
\(792\) 7.39201 + 15.2489i 0.262664 + 0.541847i
\(793\) 5.60835 + 0.202607i 0.199158 + 0.00719478i
\(794\) 11.7514 26.6527i 0.417042 0.945869i
\(795\) −28.0236 7.23839i −0.993893 0.256719i
\(796\) 23.2087 + 13.9642i 0.822612 + 0.494949i
\(797\) 7.63165 2.26809i 0.270327 0.0803400i −0.146871 0.989156i \(-0.546920\pi\)
0.417198 + 0.908816i \(0.363012\pi\)
\(798\) −15.6035 7.21895i −0.552358 0.255548i
\(799\) 1.51193 1.43218i 0.0534882 0.0506668i
\(800\) −2.55944 + 9.21829i −0.0904900 + 0.325916i
\(801\) −3.28933 60.6682i −0.116223 2.14361i
\(802\) −1.41217 + 0.257777i −0.0498655 + 0.00910241i
\(803\) −14.1637 + 9.23443i −0.499827 + 0.325876i
\(804\) −10.0349 41.9652i −0.353904 1.48000i
\(805\) 4.95348 + 20.7151i 0.174587 + 0.730112i
\(806\) −7.60203 + 1.10575i −0.267770 + 0.0389482i
\(807\) −0.625371 1.97307i −0.0220141 0.0694552i
\(808\) 35.4623 + 26.9577i 1.24756 + 0.948370i
\(809\) 3.97300 5.03505i 0.139683 0.177023i −0.710190 0.704010i \(-0.751391\pi\)
0.849873 + 0.526987i \(0.176678\pi\)
\(810\) −3.91655 + 10.9655i −0.137613 + 0.385289i
\(811\) −21.6997 14.1477i −0.761980 0.496794i 0.105406 0.994429i \(-0.466386\pi\)
−0.867386 + 0.497635i \(0.834202\pi\)
\(812\) 21.2725 + 8.92408i 0.746520 + 0.313174i
\(813\) −4.62009 16.6400i −0.162033 0.583592i
\(814\) −2.75451 1.04028i −0.0965456 0.0364616i
\(815\) −3.19600 3.49838i −0.111951 0.122543i
\(816\) 0.952834 + 0.103627i 0.0333559 + 0.00362767i
\(817\) −3.43740 + 17.0794i −0.120259 + 0.597533i
\(818\) −8.26049 8.41100i −0.288821 0.294084i
\(819\) 31.9881 + 37.6592i 1.11775 + 1.31592i
\(820\) 7.90552 13.6928i 0.276073 0.478172i
\(821\) 2.19434 + 3.80071i 0.0765831 + 0.132646i 0.901774 0.432209i \(-0.142266\pi\)
−0.825191 + 0.564854i \(0.808932\pi\)
\(822\) −3.12225 + 8.74165i −0.108901 + 0.304900i
\(823\) 9.42081 8.92386i 0.328389 0.311066i −0.505686 0.862717i \(-0.668761\pi\)
0.834075 + 0.551651i \(0.186002\pi\)
\(824\) 20.5099 4.51456i 0.714495 0.157272i
\(825\) 6.67444 3.08793i 0.232374 0.107508i
\(826\) −42.3166 6.15511i −1.47238 0.214164i
\(827\) −6.16128 12.7101i −0.214249 0.441972i 0.765165 0.643834i \(-0.222657\pi\)
−0.979414 + 0.201862i \(0.935301\pi\)
\(828\) 1.99246 9.89993i 0.0692426 0.344046i
\(829\) 1.39968 8.53766i 0.0486128 0.296525i −0.951319 0.308208i \(-0.900271\pi\)
0.999932 + 0.0116831i \(0.00371894\pi\)
\(830\) 3.56911 + 5.69651i 0.123886 + 0.197729i
\(831\) −19.9696 6.72853i −0.692737 0.233410i
\(832\) 5.55639 + 15.5567i 0.192633 + 0.539332i
\(833\) 4.10026 17.1470i 0.142066 0.594108i
\(834\) −39.1357 −1.35516
\(835\) −10.6722 + 44.6303i −0.369327 + 1.54450i
\(836\) 0.261422 2.88795i 0.00904146 0.0998817i
\(837\) −4.07790 + 0.443499i −0.140953 + 0.0153296i
\(838\) −23.1782 20.4194i −0.800676 0.705378i
\(839\) 13.8106 + 4.10444i 0.476793 + 0.141701i 0.514327 0.857594i \(-0.328042\pi\)
−0.0375331 + 0.999295i \(0.511950\pi\)
\(840\) −43.4228 47.5311i −1.49823 1.63998i
\(841\) −4.78241 + 10.8467i −0.164911 + 0.374024i
\(842\) 11.4794 + 26.0358i 0.395607 + 0.897253i
\(843\) 13.6903 14.9855i 0.471518 0.516128i
\(844\) −11.3592 + 6.83463i −0.391001 + 0.235258i
\(845\) −8.03177 + 2.38701i −0.276301 + 0.0821156i
\(846\) −5.73330 2.40519i −0.197115 0.0826920i
\(847\) 24.7082 + 31.3132i 0.848985 + 1.07593i
\(848\) −1.98134 + 0.831195i −0.0680395 + 0.0285434i
\(849\) 48.5786 + 8.86749i 1.66721 + 0.304332i
\(850\) 0.220478 1.73519i 0.00756235 0.0595164i
\(851\) 2.54049 + 4.05477i 0.0870870 + 0.138996i
\(852\) 18.7772 + 25.6493i 0.643295 + 0.878729i
\(853\) 32.6381 + 28.7534i 1.11751 + 0.984498i 0.999963 0.00856957i \(-0.00272781\pi\)
0.117544 + 0.993068i \(0.462498\pi\)
\(854\) −4.55030 + 7.26253i −0.155708 + 0.248519i
\(855\) −7.54579 + 6.17844i −0.258061 + 0.211298i
\(856\) −4.20479 + 1.76396i −0.143717 + 0.0602908i
\(857\) 38.1657 + 21.1256i 1.30371 + 0.721635i 0.974875 0.222751i \(-0.0715037\pi\)
0.328839 + 0.944386i \(0.393343\pi\)
\(858\) 5.58739 9.67765i 0.190750 0.330389i
\(859\) −0.467693 + 25.9008i −0.0159575 + 0.883723i 0.888923 + 0.458057i \(0.151454\pi\)
−0.904880 + 0.425666i \(0.860040\pi\)
\(860\) −13.4252 + 19.8006i −0.457794 + 0.675196i
\(861\) −43.6578 82.3473i −1.48785 2.80639i
\(862\) 7.45148 7.58725i 0.253798 0.258423i
\(863\) 16.1617 2.95014i 0.550151 0.100424i 0.102666 0.994716i \(-0.467263\pi\)
0.447484 + 0.894292i \(0.352320\pi\)
\(864\) 2.34534 + 7.39963i 0.0797901 + 0.251740i
\(865\) −2.30609 + 4.34975i −0.0784095 + 0.147896i
\(866\) −7.26522 13.7037i −0.246882 0.465669i
\(867\) −40.4393 + 1.46091i −1.37339 + 0.0496150i
\(868\) −5.97248 + 14.9898i −0.202719 + 0.508787i
\(869\) 4.51356 2.08820i 0.153112 0.0708372i
\(870\) −13.1661 + 11.5990i −0.446372 + 0.393243i
\(871\) −28.3767 + 31.0615i −0.961509 + 1.05248i
\(872\) −43.2285 + 21.9278i −1.46390 + 0.742569i
\(873\) 26.4165 13.3999i 0.894064 0.453517i
\(874\) 2.31083 2.52946i 0.0781650 0.0855602i
\(875\) −43.9275 + 38.6991i −1.48502 + 1.30827i
\(876\) −27.6407 + 12.7880i −0.933893 + 0.432065i
\(877\) 0.296171 0.743332i 0.0100010 0.0251006i −0.923891 0.382655i \(-0.875010\pi\)
0.933892 + 0.357554i \(0.116389\pi\)
\(878\) 10.6780 0.385754i 0.360366 0.0130186i
\(879\) 29.4674 + 55.5813i 0.993909 + 1.87471i
\(880\) −0.476797 + 0.899334i −0.0160728 + 0.0303165i
\(881\) −9.76663 30.8141i −0.329046 1.03815i −0.964068 0.265657i \(-0.914411\pi\)
0.635021 0.772495i \(-0.280991\pi\)
\(882\) −51.7790 + 9.45169i −1.74349 + 0.318255i
\(883\) −31.4625 + 32.0358i −1.05880 + 1.07809i −0.0620043 + 0.998076i \(0.519749\pi\)
−0.996794 + 0.0800136i \(0.974504\pi\)
\(884\) 1.71236 + 3.22985i 0.0575928 + 0.108631i
\(885\) −25.1058 + 37.0283i −0.843922 + 1.24469i
\(886\) 0.227886 12.6203i 0.00765598 0.423987i
\(887\) 22.5936 39.1333i 0.758619 1.31397i −0.184936 0.982751i \(-0.559208\pi\)
0.943555 0.331216i \(-0.107459\pi\)
\(888\) −12.6539 7.00422i −0.424637 0.235046i
\(889\) −84.4132 + 35.4123i −2.83113 + 1.18769i
\(890\) 21.9001 17.9317i 0.734094 0.601071i
\(891\) −6.14673 + 9.81052i −0.205923 + 0.328665i
\(892\) −7.30196 6.43286i −0.244488 0.215388i
\(893\) 1.71379 + 2.34101i 0.0573499 + 0.0783389i
\(894\) −8.21165 13.1063i −0.274639 0.438339i
\(895\) 2.67719 21.0698i 0.0894887 0.704285i
\(896\) 27.0611 + 4.93971i 0.904048 + 0.165024i
\(897\) −16.7461 + 7.02518i −0.559135 + 0.234564i
\(898\) −21.8590 27.7023i −0.729446 0.924439i
\(899\) 11.0592 + 4.63948i 0.368846 + 0.154735i
\(900\) 6.88481 2.04614i 0.229494 0.0682045i
\(901\) −5.86470 + 3.52867i −0.195382 + 0.117557i
\(902\) −7.70884 + 8.43818i −0.256676 + 0.280961i
\(903\) 56.8934 + 129.037i 1.89329 + 4.29407i
\(904\) −19.2811 + 43.7305i −0.641281 + 1.45445i
\(905\) −5.42515 5.93843i −0.180338 0.197400i
\(906\) 33.0596 + 9.82518i 1.09833 + 0.326420i
\(907\) −7.14215 6.29207i −0.237151 0.208925i 0.534159 0.845384i \(-0.320628\pi\)
−0.771310 + 0.636459i \(0.780398\pi\)
\(908\) 18.6122 2.02420i 0.617668 0.0671754i
\(909\) 4.92431 54.3992i 0.163329 1.80431i
\(910\) −5.35346 + 22.3878i −0.177465 + 0.742148i
\(911\) −25.6238 −0.848954 −0.424477 0.905439i \(-0.639542\pi\)
−0.424477 + 0.905439i \(0.639542\pi\)
\(912\) −0.310535 + 1.29864i −0.0102829 + 0.0430022i
\(913\) 2.24810 + 6.29421i 0.0744013 + 0.208308i
\(914\) −21.3532 7.19473i −0.706301 0.237981i
\(915\) 4.76047 + 7.59797i 0.157376 + 0.251181i
\(916\) −0.190380 + 1.16126i −0.00629032 + 0.0383693i
\(917\) 5.90591 29.3448i 0.195030 0.969049i
\(918\) −0.619066 1.27707i −0.0204322 0.0421495i
\(919\) −47.4169 6.89698i −1.56414 0.227510i −0.693875 0.720096i \(-0.744098\pi\)
−0.870264 + 0.492585i \(0.836052\pi\)
\(920\) 11.6437 5.38695i 0.383881 0.177602i
\(921\) 25.5027 5.61357i 0.840342 0.184973i
\(922\) −14.3072 + 13.5525i −0.471182 + 0.446328i
\(923\) 10.4254 29.1889i 0.343156 0.960766i
\(924\) −11.7361 20.3275i −0.386090 0.668727i
\(925\) −1.70161 + 2.94728i −0.0559486 + 0.0969058i
\(926\) 5.63394 + 6.63279i 0.185143 + 0.217967i
\(927\) −18.0438 18.3725i −0.592635 0.603433i
\(928\) 4.47784 22.2491i 0.146992 0.730362i
\(929\) −21.1600 2.30129i −0.694238 0.0755030i −0.245805 0.969319i \(-0.579052\pi\)
−0.448433 + 0.893816i \(0.648018\pi\)
\(930\) −8.27812 9.06131i −0.271450 0.297132i
\(931\) 22.9774 + 8.67771i 0.753055 + 0.284400i
\(932\) −8.85807 31.9039i −0.290156 1.04505i
\(933\) 32.0033 + 13.4258i 1.04774 + 0.439540i
\(934\) −26.7388 17.4331i −0.874921 0.570429i
\(935\) −1.09066 + 3.05361i −0.0356683 + 0.0998637i
\(936\) 18.4364 23.3647i 0.602612 0.763700i
\(937\) −19.3930 14.7422i −0.633543 0.481607i 0.238431 0.971160i \(-0.423367\pi\)
−0.871974 + 0.489553i \(0.837160\pi\)
\(938\) −19.4124 61.2467i −0.633837 1.99978i
\(939\) 37.2176 5.41345i 1.21455 0.176661i
\(940\) 0.926521 + 3.87464i 0.0302198 + 0.126377i
\(941\) 10.8667 + 45.4436i 0.354243 + 1.48142i 0.807408 + 0.589993i \(0.200870\pi\)
−0.453165 + 0.891427i \(0.649705\pi\)
\(942\) 32.8323 21.4059i 1.06974 0.697443i
\(943\) 18.2717 3.33530i 0.595008 0.108612i
\(944\) 0.179800 + 3.31621i 0.00585198 + 0.107933i
\(945\) −3.28829 + 11.8433i −0.106968 + 0.385264i
\(946\) 12.5547 11.8924i 0.408188 0.386656i
\(947\) 16.3442 + 7.56164i 0.531115 + 0.245720i 0.667070 0.744995i \(-0.267548\pi\)
−0.135955 + 0.990715i \(0.543410\pi\)
\(948\) 8.58673 2.55194i 0.278884 0.0828832i
\(949\) 25.4451 + 15.3098i 0.825983 + 0.496978i
\(950\) 2.35934 + 0.609410i 0.0765472 + 0.0197719i
\(951\) −4.07803 + 9.24916i −0.132239 + 0.299924i
\(952\) −15.2144 0.549635i −0.493102 0.0178138i
\(953\) −17.2243 35.5318i −0.557949 1.15099i −0.970733 0.240161i \(-0.922800\pi\)
0.412784 0.910829i \(-0.364556\pi\)
\(954\) 16.7029 + 11.7706i 0.540778 + 0.381087i
\(955\) −37.4201 + 28.4460i −1.21089 + 0.920492i
\(956\) 0.258943 14.3402i 0.00837480 0.463796i
\(957\) −15.2635 + 8.44870i −0.493399 + 0.273108i
\(958\) 7.11058 9.01136i 0.229732 0.291144i
\(959\) 5.08603 18.3182i 0.164237 0.591527i
\(960\) −15.5900 + 21.2956i −0.503164 + 0.687313i
\(961\) 8.36929 21.0053i 0.269977 0.677591i
\(962\) 0.466206 + 5.15021i 0.0150311 + 0.166049i
\(963\) 4.57040 + 3.22077i 0.147279 + 0.103788i
\(964\) 11.2416 + 11.4465i 0.362069 + 0.368666i
\(965\) 7.53784 23.7821i 0.242652 0.765574i
\(966\) 3.49570 27.5115i 0.112472 0.885167i
\(967\) 2.46034 45.3782i 0.0791191 1.45927i −0.642133 0.766593i \(-0.721950\pi\)
0.721252 0.692672i \(-0.243567\pi\)
\(968\) 15.5542 18.3118i 0.499930 0.588563i
\(969\) −0.383460 + 4.23611i −0.0123185 + 0.136083i
\(970\) 12.3066 + 6.24255i 0.395140 + 0.200436i
\(971\) −18.3208 51.2945i −0.587943 1.64612i −0.751614 0.659603i \(-0.770724\pi\)
0.163671 0.986515i \(-0.447666\pi\)
\(972\) −16.6853 + 19.6434i −0.535181 + 0.630064i
\(973\) 79.9436 5.78363i 2.56287 0.185415i
\(974\) −16.1333 + 25.7497i −0.516945 + 0.825073i
\(975\) −9.99354 8.18263i −0.320049 0.262054i
\(976\) 0.622680 + 0.235163i 0.0199315 + 0.00752737i
\(977\) 5.68298 + 1.46789i 0.181815 + 0.0469621i 0.339891 0.940465i \(-0.389610\pi\)
−0.158077 + 0.987427i \(0.550529\pi\)
\(978\) 2.28366 + 5.73156i 0.0730235 + 0.183275i
\(979\) 25.0979 12.7310i 0.802132 0.406884i
\(980\) 24.4853 + 23.1937i 0.782153 + 0.740895i
\(981\) 50.9285 + 30.6427i 1.62602 + 0.978346i
\(982\) 0.274783 + 0.989680i 0.00876868 + 0.0315819i
\(983\) −27.8941 + 9.39863i −0.889685 + 0.299770i −0.726779 0.686872i \(-0.758983\pi\)
−0.162906 + 0.986642i \(0.552087\pi\)
\(984\) −43.4380 + 35.5667i −1.38475 + 1.13383i
\(985\) −3.05801 24.0669i −0.0974363 0.766834i
\(986\) −0.224642 + 4.14329i −0.00715407 + 0.131949i
\(987\) 22.2552 + 7.49866i 0.708391 + 0.238685i
\(988\) −4.76440 + 1.79933i −0.151576 + 0.0572445i
\(989\) −27.9379 + 3.03843i −0.888374 + 0.0966165i
\(990\) 9.65519 0.698517i 0.306862 0.0222003i
\(991\) −6.42537 50.5683i −0.204109 1.60636i −0.684306 0.729195i \(-0.739895\pi\)
0.480198 0.877160i \(-0.340565\pi\)
\(992\) 15.6166 + 2.85064i 0.495827 + 0.0905079i
\(993\) 45.7021 32.2063i 1.45031 1.02204i
\(994\) 30.6429 + 36.0757i 0.971935 + 1.14425i
\(995\) 33.5910 25.5352i 1.06491 0.809520i
\(996\) 2.37530 + 11.8022i 0.0752642 + 0.373966i
\(997\) 29.4043 1.06226i 0.931245 0.0336421i 0.433678 0.901068i \(-0.357215\pi\)
0.497567 + 0.867426i \(0.334227\pi\)
\(998\) −6.92654 0.501110i −0.219256 0.0158624i
\(999\) 0.149493 + 2.75724i 0.00472975 + 0.0872351i
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 349.2.i.a.9.10 1568
349.194 even 87 inner 349.2.i.a.194.10 yes 1568
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
349.2.i.a.9.10 1568 1.1 even 1 trivial
349.2.i.a.194.10 yes 1568 349.194 even 87 inner