Properties

Label 552.2.bb.a.85.8
Level $552$
Weight $2$
Character 552.85
Analytic conductor $4.408$
Analytic rank $0$
Dimension $480$
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] = [552,2,Mod(13,552)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(552, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([0, 11, 0, 14]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("552.13");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 552.bb (of order \(22\), degree \(10\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(4.40774219157\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(48\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 85.8
Character \(\chi\) \(=\) 552.85
Dual form 552.2.bb.a.13.8

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.28649 - 0.587327i) q^{2} +(-0.540641 - 0.841254i) q^{3} +(1.31009 + 1.51118i) q^{4} +(2.37560 - 1.08490i) q^{5} +(0.201436 + 1.39979i) q^{6} +(1.76843 - 0.519257i) q^{7} +(-0.797864 - 2.71356i) q^{8} +(-0.415415 + 0.909632i) q^{9} +O(q^{10})\) \(q+(-1.28649 - 0.587327i) q^{2} +(-0.540641 - 0.841254i) q^{3} +(1.31009 + 1.51118i) q^{4} +(2.37560 - 1.08490i) q^{5} +(0.201436 + 1.39979i) q^{6} +(1.76843 - 0.519257i) q^{7} +(-0.797864 - 2.71356i) q^{8} +(-0.415415 + 0.909632i) q^{9} +(-3.69337 + 0.000455346i) q^{10} +(3.66757 - 3.17797i) q^{11} +(0.562992 - 1.91912i) q^{12} +(-0.735357 + 2.50439i) q^{13} +(-2.58003 - 0.370628i) q^{14} +(-2.19702 - 1.41194i) q^{15} +(-0.567307 + 3.95957i) q^{16} +(-0.317717 + 2.20977i) q^{17} +(1.06868 - 0.926245i) q^{18} +(1.84049 - 0.264623i) q^{19} +(4.75173 + 2.16863i) q^{20} +(-1.39291 - 1.20696i) q^{21} +(-6.58478 + 1.93435i) q^{22} +(4.13830 + 2.42373i) q^{23} +(-1.85144 + 2.13827i) q^{24} +(1.19216 - 1.37583i) q^{25} +(2.41692 - 2.78997i) q^{26} +(0.989821 - 0.142315i) q^{27} +(3.10149 + 1.99213i) q^{28} +(1.40144 + 0.201497i) q^{29} +(1.99717 + 3.10681i) q^{30} +(0.445741 + 0.286460i) q^{31} +(3.05539 - 4.76073i) q^{32} +(-4.65631 - 1.36722i) q^{33} +(1.70660 - 2.65623i) q^{34} +(3.63773 - 3.15211i) q^{35} +(-1.91885 + 0.563938i) q^{36} +(-6.09278 - 2.78248i) q^{37} +(-2.52319 - 0.740537i) q^{38} +(2.50439 - 0.735357i) q^{39} +(-4.83935 - 5.58073i) q^{40} +(-1.56265 - 3.42173i) q^{41} +(1.08308 + 2.37084i) q^{42} +(-0.469155 - 0.730019i) q^{43} +(9.60732 + 1.37891i) q^{44} +2.61160i q^{45} +(-3.90034 - 5.54863i) q^{46} +2.04867 q^{47} +(3.63771 - 1.66345i) q^{48} +(-3.03107 + 1.94795i) q^{49} +(-2.34176 + 1.06979i) q^{50} +(2.03075 - 0.927411i) q^{51} +(-4.74797 + 2.16974i) q^{52} +(-3.30615 - 11.2597i) q^{53} +(-1.35698 - 0.398263i) q^{54} +(5.26490 - 11.5285i) q^{55} +(-2.82000 - 4.38444i) q^{56} +(-1.21766 - 1.40526i) q^{57} +(-1.68459 - 1.08233i) q^{58} +(0.962583 - 3.27826i) q^{59} +(-0.744615 - 5.16986i) q^{60} +(1.27324 - 1.98120i) q^{61} +(-0.405194 - 0.630323i) q^{62} +(-0.262298 + 1.82432i) q^{63} +(-6.72683 + 4.33010i) q^{64} +(0.970105 + 6.74723i) q^{65} +(5.18728 + 4.49368i) q^{66} +(-3.55986 - 3.08463i) q^{67} +(-3.75559 + 2.41488i) q^{68} +(-0.198359 - 4.79173i) q^{69} +(-6.53121 + 1.91861i) q^{70} +(7.67205 - 8.85401i) q^{71} +(2.79979 + 0.401492i) q^{72} +(0.985217 + 6.85234i) q^{73} +(6.20406 + 7.15808i) q^{74} +(-1.80195 - 0.259081i) q^{75} +(2.81111 + 2.43463i) q^{76} +(4.83564 - 7.52441i) q^{77} +(-3.65376 - 0.524872i) q^{78} +(9.58201 + 2.81353i) q^{79} +(2.94804 + 10.0218i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(0.000655866 + 5.31980i) q^{82} +(-12.8319 - 5.86015i) q^{83} +(-0.000908918 - 3.68617i) q^{84} +(1.64261 + 5.59422i) q^{85} +(0.174801 + 1.21471i) q^{86} +(-0.588168 - 1.28791i) q^{87} +(-11.5498 - 7.41658i) q^{88} +(-6.64268 + 4.26899i) q^{89} +(1.53387 - 3.35979i) q^{90} +4.81068i q^{91} +(1.75887 + 9.42902i) q^{92} -0.529853i q^{93} +(-2.63558 - 1.20324i) q^{94} +(4.08518 - 2.62539i) q^{95} +(-5.65685 + 0.00348710i) q^{96} +(4.94567 + 10.8295i) q^{97} +(5.04351 - 0.725782i) q^{98} +(1.36722 + 4.65631i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480 q + 4 q^{2} + 4 q^{6} + 8 q^{7} + 4 q^{8} + 48 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 480 q + 4 q^{2} + 4 q^{6} + 8 q^{7} + 4 q^{8} + 48 q^{9} - 4 q^{10} - 4 q^{14} - 8 q^{15} - 8 q^{16} - 4 q^{18} + 20 q^{20} + 20 q^{22} - 8 q^{23} - 4 q^{24} + 48 q^{25} + 16 q^{30} + 16 q^{31} + 4 q^{32} + 6 q^{34} - 22 q^{36} + 90 q^{38} - 74 q^{40} + 90 q^{42} - 130 q^{44} + 96 q^{46} - 88 q^{48} - 48 q^{49} + 142 q^{50} - 142 q^{52} + 18 q^{54} - 82 q^{56} + 22 q^{58} + 2 q^{60} - 40 q^{62} - 8 q^{63} + 16 q^{66} - 44 q^{68} + 16 q^{71} - 4 q^{72} + 10 q^{74} - 138 q^{76} - 40 q^{79} - 170 q^{80} - 48 q^{81} - 124 q^{82} - 8 q^{84} - 216 q^{86} - 108 q^{88} + 4 q^{90} - 198 q^{92} - 238 q^{94} + 80 q^{95} + 4 q^{96} - 132 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{4}{11}\right)\) \(1\) \(-1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.28649 0.587327i −0.909683 0.415303i
\(3\) −0.540641 0.841254i −0.312139 0.485698i
\(4\) 1.31009 + 1.51118i 0.655047 + 0.755588i
\(5\) 2.37560 1.08490i 1.06240 0.485182i 0.193977 0.981006i \(-0.437861\pi\)
0.868423 + 0.495824i \(0.165134\pi\)
\(6\) 0.201436 + 1.39979i 0.0822360 + 0.571464i
\(7\) 1.76843 0.519257i 0.668403 0.196261i 0.0701110 0.997539i \(-0.477665\pi\)
0.598292 + 0.801278i \(0.295846\pi\)
\(8\) −0.797864 2.71356i −0.282087 0.959389i
\(9\) −0.415415 + 0.909632i −0.138472 + 0.303211i
\(10\) −3.69337 0.000455346i −1.16795 0.000143993i
\(11\) 3.66757 3.17797i 1.10581 0.958193i 0.106466 0.994316i \(-0.466047\pi\)
0.999347 + 0.0361238i \(0.0115011\pi\)
\(12\) 0.562992 1.91912i 0.162522 0.554004i
\(13\) −0.735357 + 2.50439i −0.203951 + 0.694594i 0.792458 + 0.609926i \(0.208801\pi\)
−0.996409 + 0.0846677i \(0.973017\pi\)
\(14\) −2.58003 0.370628i −0.689542 0.0990544i
\(15\) −2.19702 1.41194i −0.567269 0.364561i
\(16\) −0.567307 + 3.95957i −0.141827 + 0.989892i
\(17\) −0.317717 + 2.20977i −0.0770577 + 0.535948i 0.914328 + 0.404974i \(0.132719\pi\)
−0.991386 + 0.130974i \(0.958190\pi\)
\(18\) 1.06868 0.926245i 0.251890 0.218318i
\(19\) 1.84049 0.264623i 0.422238 0.0607087i 0.0720790 0.997399i \(-0.477037\pi\)
0.350159 + 0.936690i \(0.386128\pi\)
\(20\) 4.75173 + 2.16863i 1.06252 + 0.484920i
\(21\) −1.39291 1.20696i −0.303958 0.263381i
\(22\) −6.58478 + 1.93435i −1.40388 + 0.412404i
\(23\) 4.13830 + 2.42373i 0.862895 + 0.505383i
\(24\) −1.85144 + 2.13827i −0.377923 + 0.436472i
\(25\) 1.19216 1.37583i 0.238432 0.275165i
\(26\) 2.41692 2.78997i 0.473998 0.547159i
\(27\) 0.989821 0.142315i 0.190491 0.0273885i
\(28\) 3.10149 + 1.99213i 0.586127 + 0.376477i
\(29\) 1.40144 + 0.201497i 0.260242 + 0.0374171i 0.271201 0.962523i \(-0.412579\pi\)
−0.0109589 + 0.999940i \(0.503488\pi\)
\(30\) 1.99717 + 3.10681i 0.364631 + 0.567224i
\(31\) 0.445741 + 0.286460i 0.0800574 + 0.0514498i 0.580057 0.814576i \(-0.303030\pi\)
−0.500000 + 0.866026i \(0.666667\pi\)
\(32\) 3.05539 4.76073i 0.540122 0.841587i
\(33\) −4.65631 1.36722i −0.810560 0.238002i
\(34\) 1.70660 2.65623i 0.292679 0.455541i
\(35\) 3.63773 3.15211i 0.614889 0.532804i
\(36\) −1.91885 + 0.563938i −0.319808 + 0.0939897i
\(37\) −6.09278 2.78248i −1.00165 0.457437i −0.154042 0.988064i \(-0.549229\pi\)
−0.847605 + 0.530627i \(0.821956\pi\)
\(38\) −2.52319 0.740537i −0.409315 0.120131i
\(39\) 2.50439 0.735357i 0.401024 0.117751i
\(40\) −4.83935 5.58073i −0.765168 0.882391i
\(41\) −1.56265 3.42173i −0.244045 0.534385i 0.747482 0.664282i \(-0.231263\pi\)
−0.991527 + 0.129897i \(0.958535\pi\)
\(42\) 1.08308 + 2.37084i 0.167123 + 0.365828i
\(43\) −0.469155 0.730019i −0.0715454 0.111327i 0.803637 0.595119i \(-0.202895\pi\)
−0.875183 + 0.483793i \(0.839259\pi\)
\(44\) 9.60732 + 1.37891i 1.44836 + 0.207878i
\(45\) 2.61160i 0.389315i
\(46\) −3.90034 5.54863i −0.575074 0.818101i
\(47\) 2.04867 0.298829 0.149414 0.988775i \(-0.452261\pi\)
0.149414 + 0.988775i \(0.452261\pi\)
\(48\) 3.63771 1.66345i 0.525058 0.240099i
\(49\) −3.03107 + 1.94795i −0.433010 + 0.278278i
\(50\) −2.34176 + 1.06979i −0.331175 + 0.151292i
\(51\) 2.03075 0.927411i 0.284362 0.129864i
\(52\) −4.74797 + 2.16974i −0.658425 + 0.300889i
\(53\) −3.30615 11.2597i −0.454134 1.54664i −0.795049 0.606545i \(-0.792555\pi\)
0.340915 0.940094i \(-0.389263\pi\)
\(54\) −1.35698 0.398263i −0.184661 0.0541967i
\(55\) 5.26490 11.5285i 0.709918 1.55450i
\(56\) −2.82000 4.38444i −0.376838 0.585895i
\(57\) −1.21766 1.40526i −0.161283 0.186131i
\(58\) −1.68459 1.08233i −0.221198 0.142117i
\(59\) 0.962583 3.27826i 0.125318 0.426793i −0.872803 0.488073i \(-0.837700\pi\)
0.998121 + 0.0612799i \(0.0195182\pi\)
\(60\) −0.744615 5.16986i −0.0961294 0.667426i
\(61\) 1.27324 1.98120i 0.163021 0.253666i −0.750127 0.661294i \(-0.770008\pi\)
0.913148 + 0.407628i \(0.133644\pi\)
\(62\) −0.405194 0.630323i −0.0514596 0.0800511i
\(63\) −0.262298 + 1.82432i −0.0330465 + 0.229843i
\(64\) −6.72683 + 4.33010i −0.840853 + 0.541263i
\(65\) 0.970105 + 6.74723i 0.120327 + 0.836890i
\(66\) 5.18728 + 4.49368i 0.638510 + 0.553134i
\(67\) −3.55986 3.08463i −0.434906 0.376848i 0.409714 0.912214i \(-0.365628\pi\)
−0.844620 + 0.535366i \(0.820174\pi\)
\(68\) −3.75559 + 2.41488i −0.455432 + 0.292847i
\(69\) −0.198359 4.79173i −0.0238796 0.576856i
\(70\) −6.53121 + 1.91861i −0.780629 + 0.229318i
\(71\) 7.67205 8.85401i 0.910504 1.05078i −0.0880009 0.996120i \(-0.528048\pi\)
0.998505 0.0546575i \(-0.0174067\pi\)
\(72\) 2.79979 + 0.401492i 0.329958 + 0.0473162i
\(73\) 0.985217 + 6.85234i 0.115311 + 0.802005i 0.962610 + 0.270890i \(0.0873179\pi\)
−0.847299 + 0.531116i \(0.821773\pi\)
\(74\) 6.20406 + 7.15808i 0.721207 + 0.832110i
\(75\) −1.80195 0.259081i −0.208071 0.0299161i
\(76\) 2.81111 + 2.43463i 0.322457 + 0.279271i
\(77\) 4.83564 7.52441i 0.551073 0.857486i
\(78\) −3.65376 0.524872i −0.413707 0.0594301i
\(79\) 9.58201 + 2.81353i 1.07806 + 0.316547i 0.772103 0.635498i \(-0.219205\pi\)
0.305958 + 0.952045i \(0.401023\pi\)
\(80\) 2.94804 + 10.0218i 0.329601 + 1.12047i
\(81\) −0.654861 0.755750i −0.0727623 0.0839722i
\(82\) 0.000655866 5.31980i 7.24282e−5 0.587474i
\(83\) −12.8319 5.86015i −1.40849 0.643235i −0.441314 0.897353i \(-0.645488\pi\)
−0.967173 + 0.254118i \(0.918215\pi\)
\(84\) −0.000908918 3.68617i −9.91711e−5 0.402194i
\(85\) 1.64261 + 5.59422i 0.178166 + 0.606778i
\(86\) 0.174801 + 1.21471i 0.0188493 + 0.130985i
\(87\) −0.588168 1.28791i −0.0630582 0.138078i
\(88\) −11.5498 7.41658i −1.23122 0.790611i
\(89\) −6.64268 + 4.26899i −0.704123 + 0.452512i −0.843081 0.537786i \(-0.819261\pi\)
0.138959 + 0.990298i \(0.455624\pi\)
\(90\) 1.53387 3.35979i 0.161684 0.354153i
\(91\) 4.81068i 0.504296i
\(92\) 1.75887 + 9.42902i 0.183375 + 0.983043i
\(93\) 0.529853i 0.0549432i
\(94\) −2.63558 1.20324i −0.271839 0.124104i
\(95\) 4.08518 2.62539i 0.419131 0.269359i
\(96\) −5.65685 + 0.00348710i −0.577350 + 0.000355901i
\(97\) 4.94567 + 10.8295i 0.502157 + 1.09957i 0.975762 + 0.218833i \(0.0702249\pi\)
−0.473606 + 0.880737i \(0.657048\pi\)
\(98\) 5.04351 0.725782i 0.509472 0.0733151i
\(99\) 1.36722 + 4.65631i 0.137410 + 0.467977i
\(100\) 3.64096 0.000897770i 0.364096 8.97770e-5i
\(101\) 11.2923 + 5.15701i 1.12362 + 0.513141i 0.888524 0.458830i \(-0.151731\pi\)
0.235099 + 0.971971i \(0.424459\pi\)
\(102\) −3.15722 0.000389246i −0.312612 3.85411e-5i
\(103\) −7.80713 9.00991i −0.769260 0.887773i 0.227026 0.973889i \(-0.427100\pi\)
−0.996285 + 0.0861160i \(0.972554\pi\)
\(104\) 7.38254 0.00273053i 0.723918 0.000267750i
\(105\) −4.61843 1.35609i −0.450713 0.132341i
\(106\) −2.35981 + 16.4272i −0.229205 + 1.59555i
\(107\) −8.71496 + 13.5607i −0.842507 + 1.31097i 0.106050 + 0.994361i \(0.466180\pi\)
−0.948557 + 0.316606i \(0.897457\pi\)
\(108\) 1.51182 + 1.30935i 0.145475 + 0.125992i
\(109\) 4.80826 + 0.691323i 0.460548 + 0.0662168i 0.368684 0.929555i \(-0.379808\pi\)
0.0918638 + 0.995772i \(0.470718\pi\)
\(110\) −13.5442 + 11.7391i −1.29139 + 1.11928i
\(111\) 0.953236 + 6.62990i 0.0904771 + 0.629282i
\(112\) 1.05279 + 7.29678i 0.0994795 + 0.689481i
\(113\) −11.6861 + 13.4864i −1.09933 + 1.26870i −0.138862 + 0.990312i \(0.544344\pi\)
−0.960470 + 0.278384i \(0.910201\pi\)
\(114\) 0.741160 + 2.52301i 0.0694159 + 0.236301i
\(115\) 12.4604 + 1.26818i 1.16194 + 0.118258i
\(116\) 1.53153 + 2.38181i 0.142199 + 0.221145i
\(117\) −1.97260 1.70927i −0.182367 0.158022i
\(118\) −3.16376 + 3.65208i −0.291248 + 0.336202i
\(119\) 0.585579 + 4.07279i 0.0536800 + 0.373352i
\(120\) −2.07846 + 7.08829i −0.189737 + 0.647069i
\(121\) 1.78612 12.4228i 0.162375 1.12934i
\(122\) −2.80161 + 1.80097i −0.253646 + 0.163053i
\(123\) −2.03371 + 3.16452i −0.183374 + 0.285335i
\(124\) 0.151071 + 1.04888i 0.0135665 + 0.0941924i
\(125\) −2.33941 + 7.96730i −0.209243 + 0.712617i
\(126\) 1.40892 2.19291i 0.125516 0.195360i
\(127\) −4.31607 4.98101i −0.382989 0.441993i 0.531221 0.847233i \(-0.321733\pi\)
−0.914210 + 0.405240i \(0.867188\pi\)
\(128\) 11.1972 1.61977i 0.989698 0.143169i
\(129\) −0.360487 + 0.789356i −0.0317391 + 0.0694989i
\(130\) 2.71480 9.24998i 0.238104 0.811277i
\(131\) −2.85266 9.71528i −0.249238 0.848828i −0.985142 0.171741i \(-0.945061\pi\)
0.735904 0.677086i \(-0.236758\pi\)
\(132\) −4.03410 8.82769i −0.351123 0.768352i
\(133\) 3.11737 1.42366i 0.270310 0.123447i
\(134\) 2.76802 + 6.05914i 0.239120 + 0.523430i
\(135\) 2.19702 1.41194i 0.189090 0.121520i
\(136\) 6.24984 0.900951i 0.535919 0.0772559i
\(137\) 8.67507 0.741161 0.370581 0.928800i \(-0.379159\pi\)
0.370581 + 0.928800i \(0.379159\pi\)
\(138\) −2.55912 + 6.28099i −0.217847 + 0.534674i
\(139\) 17.3825i 1.47436i 0.675696 + 0.737181i \(0.263843\pi\)
−0.675696 + 0.737181i \(0.736157\pi\)
\(140\) 9.52917 + 1.36769i 0.805362 + 0.115591i
\(141\) −1.10759 1.72345i −0.0932761 0.145140i
\(142\) −15.0702 + 6.88457i −1.26466 + 0.577740i
\(143\) 5.26191 + 11.5220i 0.440023 + 0.963516i
\(144\) −3.36608 2.16090i −0.280507 0.180075i
\(145\) 3.54787 1.04175i 0.294635 0.0865126i
\(146\) 2.75709 9.39408i 0.228179 0.777460i
\(147\) 3.27744 + 1.49676i 0.270319 + 0.123450i
\(148\) −3.77730 12.8526i −0.310492 1.05648i
\(149\) 8.88083 7.69529i 0.727546 0.630422i −0.210234 0.977651i \(-0.567423\pi\)
0.937781 + 0.347229i \(0.112877\pi\)
\(150\) 2.16602 + 1.39164i 0.176855 + 0.113627i
\(151\) 9.18412 + 2.69670i 0.747393 + 0.219454i 0.633183 0.774002i \(-0.281748\pi\)
0.114210 + 0.993457i \(0.463566\pi\)
\(152\) −2.18653 4.78316i −0.177351 0.387965i
\(153\) −1.87809 1.20698i −0.151835 0.0975783i
\(154\) −10.6403 + 6.83995i −0.857418 + 0.551179i
\(155\) 1.36968 + 0.196931i 0.110015 + 0.0158178i
\(156\) 4.39225 + 2.82120i 0.351661 + 0.225876i
\(157\) −21.5541 + 3.09902i −1.72021 + 0.247328i −0.930536 0.366201i \(-0.880658\pi\)
−0.789672 + 0.613530i \(0.789749\pi\)
\(158\) −10.6747 9.24734i −0.849231 0.735679i
\(159\) −7.68483 + 8.86876i −0.609446 + 0.703339i
\(160\) 2.09347 14.6244i 0.165503 1.15616i
\(161\) 8.57682 + 2.13735i 0.675948 + 0.168447i
\(162\) 0.398597 + 1.35688i 0.0313168 + 0.106606i
\(163\) 6.42240 + 5.56505i 0.503042 + 0.435888i 0.869051 0.494723i \(-0.164731\pi\)
−0.366009 + 0.930611i \(0.619276\pi\)
\(164\) 3.12362 6.84424i 0.243914 0.534445i
\(165\) −12.5448 + 1.80367i −0.976613 + 0.140416i
\(166\) 13.0663 + 15.0755i 1.01414 + 1.17009i
\(167\) 1.95777 13.6166i 0.151497 1.05368i −0.762215 0.647323i \(-0.775888\pi\)
0.913712 0.406361i \(-0.133203\pi\)
\(168\) −2.16382 + 4.74274i −0.166942 + 0.365910i
\(169\) 5.20505 + 3.34508i 0.400389 + 0.257314i
\(170\) 1.17244 8.16163i 0.0899220 0.625969i
\(171\) −0.523859 + 1.78410i −0.0400605 + 0.136434i
\(172\) 0.488550 1.66537i 0.0372516 0.126983i
\(173\) −10.1829 + 8.82351i −0.774190 + 0.670839i −0.949533 0.313668i \(-0.898442\pi\)
0.175343 + 0.984507i \(0.443897\pi\)
\(174\) 0.000246862 2.00232i 1.87145e−5 0.151796i
\(175\) 1.39384 3.05209i 0.105364 0.230716i
\(176\) 10.5027 + 16.3249i 0.791673 + 1.23053i
\(177\) −3.27826 + 0.962583i −0.246409 + 0.0723522i
\(178\) 11.0530 1.59057i 0.828458 0.119219i
\(179\) −23.5580 + 10.7586i −1.76081 + 0.804133i −0.775941 + 0.630805i \(0.782725\pi\)
−0.984864 + 0.173328i \(0.944548\pi\)
\(180\) −3.94659 + 3.42145i −0.294162 + 0.255020i
\(181\) −0.832132 1.29482i −0.0618519 0.0962434i 0.808950 0.587877i \(-0.200036\pi\)
−0.870802 + 0.491634i \(0.836400\pi\)
\(182\) 2.82544 6.18887i 0.209436 0.458750i
\(183\) −2.35505 −0.174090
\(184\) 3.27515 13.1633i 0.241447 0.970414i
\(185\) −17.4927 −1.28609
\(186\) −0.311197 + 0.681649i −0.0228181 + 0.0499809i
\(187\) 5.85732 + 9.11417i 0.428330 + 0.666494i
\(188\) 2.68394 + 3.09589i 0.195747 + 0.225791i
\(189\) 1.67653 0.765645i 0.121950 0.0556925i
\(190\) −6.79750 + 0.978188i −0.493142 + 0.0709652i
\(191\) −23.4228 + 6.87754i −1.69481 + 0.497641i −0.979547 0.201213i \(-0.935512\pi\)
−0.715264 + 0.698855i \(0.753693\pi\)
\(192\) 7.27951 + 3.31794i 0.525354 + 0.239451i
\(193\) −0.511863 + 1.12082i −0.0368447 + 0.0806786i −0.927159 0.374667i \(-0.877757\pi\)
0.890315 + 0.455346i \(0.150484\pi\)
\(194\) −0.00207576 16.8367i −0.000149031 1.20881i
\(195\) 5.15165 4.46393i 0.368917 0.319669i
\(196\) −6.91468 2.02848i −0.493906 0.144892i
\(197\) −0.833382 + 2.83824i −0.0593760 + 0.202216i −0.983839 0.179056i \(-0.942696\pi\)
0.924463 + 0.381272i \(0.124514\pi\)
\(198\) 0.975872 6.79328i 0.0693522 0.482778i
\(199\) 7.26635 + 4.66980i 0.515098 + 0.331033i 0.772230 0.635343i \(-0.219141\pi\)
−0.257132 + 0.966376i \(0.582778\pi\)
\(200\) −4.68457 2.13728i −0.331249 0.151128i
\(201\) −0.670355 + 4.66242i −0.0472832 + 0.328862i
\(202\) −11.4985 13.2667i −0.809032 0.933440i
\(203\) 2.58298 0.371377i 0.181290 0.0260655i
\(204\) 4.06195 + 1.85382i 0.284394 + 0.129793i
\(205\) −7.42447 6.43334i −0.518548 0.449324i
\(206\) 4.75200 + 16.1765i 0.331088 + 1.12707i
\(207\) −3.92382 + 2.75747i −0.272724 + 0.191658i
\(208\) −9.49914 4.33245i −0.658647 0.300402i
\(209\) 5.90917 6.81955i 0.408746 0.471718i
\(210\) 5.14508 + 4.45713i 0.355044 + 0.307571i
\(211\) 26.3552 3.78931i 1.81437 0.260867i 0.850257 0.526368i \(-0.176446\pi\)
0.964111 + 0.265501i \(0.0855373\pi\)
\(212\) 12.6840 19.7474i 0.871143 1.35626i
\(213\) −11.5963 1.66729i −0.794565 0.114241i
\(214\) 19.1763 12.3272i 1.31086 0.842669i
\(215\) −1.90652 1.22525i −0.130024 0.0835611i
\(216\) −1.17592 2.57239i −0.0800114 0.175029i
\(217\) 0.937006 + 0.275130i 0.0636081 + 0.0186770i
\(218\) −5.77973 3.71340i −0.391452 0.251503i
\(219\) 5.23190 4.53347i 0.353539 0.306344i
\(220\) 24.3191 7.14725i 1.63960 0.481868i
\(221\) −5.30050 2.42066i −0.356550 0.162831i
\(222\) 2.66759 9.08914i 0.179037 0.610023i
\(223\) 2.91073 0.854668i 0.194917 0.0572328i −0.182817 0.983147i \(-0.558522\pi\)
0.377734 + 0.925914i \(0.376703\pi\)
\(224\) 2.93119 10.0055i 0.195849 0.668523i
\(225\) 0.756254 + 1.65597i 0.0504170 + 0.110398i
\(226\) 22.9549 10.4866i 1.52694 0.697556i
\(227\) −5.86057 9.11922i −0.388979 0.605264i 0.590444 0.807078i \(-0.298953\pi\)
−0.979424 + 0.201815i \(0.935316\pi\)
\(228\) 0.528338 3.68112i 0.0349901 0.243788i
\(229\) 15.9631i 1.05487i 0.849595 + 0.527435i \(0.176846\pi\)
−0.849595 + 0.527435i \(0.823154\pi\)
\(230\) −15.2854 8.94985i −1.00789 0.590136i
\(231\) −8.94428 −0.588491
\(232\) −0.571386 3.96367i −0.0375134 0.260228i
\(233\) −22.0074 + 14.1433i −1.44175 + 0.926556i −0.442189 + 0.896922i \(0.645798\pi\)
−0.999561 + 0.0296343i \(0.990566\pi\)
\(234\) 1.53382 + 3.35751i 0.100269 + 0.219487i
\(235\) 4.86681 2.22260i 0.317476 0.144986i
\(236\) 6.21510 2.84019i 0.404569 0.184881i
\(237\) −2.81353 9.58201i −0.182759 0.622419i
\(238\) 1.63872 5.58352i 0.106223 0.361926i
\(239\) 8.39636 18.3855i 0.543115 1.18926i −0.416808 0.908994i \(-0.636851\pi\)
0.959924 0.280262i \(-0.0904213\pi\)
\(240\) 6.83706 7.89825i 0.441330 0.509830i
\(241\) −9.61813 11.0999i −0.619558 0.715008i 0.356065 0.934461i \(-0.384118\pi\)
−0.975623 + 0.219453i \(0.929573\pi\)
\(242\) −9.59405 + 14.9327i −0.616729 + 0.959909i
\(243\) −0.281733 + 0.959493i −0.0180732 + 0.0615515i
\(244\) 4.66200 0.671467i 0.298454 0.0429863i
\(245\) −5.08727 + 7.91595i −0.325014 + 0.505732i
\(246\) 4.47495 2.87665i 0.285312 0.183409i
\(247\) −0.690699 + 4.80391i −0.0439481 + 0.305666i
\(248\) 0.421687 1.43810i 0.0267771 0.0913195i
\(249\) 2.00760 + 13.9631i 0.127226 + 0.884878i
\(250\) 7.68903 8.87582i 0.486297 0.561356i
\(251\) −5.23567 4.53673i −0.330472 0.286356i 0.473781 0.880643i \(-0.342889\pi\)
−0.804253 + 0.594287i \(0.797434\pi\)
\(252\) −3.10051 + 1.99366i −0.195314 + 0.125589i
\(253\) 22.8800 4.26216i 1.43846 0.267960i
\(254\) 2.62708 + 8.94295i 0.164838 + 0.561131i
\(255\) 3.81809 4.40631i 0.239098 0.275934i
\(256\) −15.3563 4.49258i −0.959770 0.280786i
\(257\) −2.86044 19.8948i −0.178429 1.24100i −0.860398 0.509622i \(-0.829785\pi\)
0.681969 0.731381i \(-0.261124\pi\)
\(258\) 0.927371 0.803772i 0.0577356 0.0500407i
\(259\) −12.2195 1.75689i −0.759281 0.109168i
\(260\) −8.92532 + 10.3055i −0.553525 + 0.639120i
\(261\) −0.765469 + 1.19109i −0.0473814 + 0.0737268i
\(262\) −2.03613 + 14.1740i −0.125793 + 0.875674i
\(263\) −9.32323 2.73755i −0.574895 0.168804i −0.0186547 0.999826i \(-0.505938\pi\)
−0.556240 + 0.831022i \(0.687757\pi\)
\(264\) 0.00507675 + 13.7260i 0.000312452 + 0.844779i
\(265\) −20.0697 23.1617i −1.23287 1.42281i
\(266\) −4.84661 0.000597527i −0.297164 3.66367e-5i
\(267\) 7.18261 + 3.28019i 0.439568 + 0.200744i
\(268\) −0.00232292 9.42073i −0.000141895 0.575463i
\(269\) 6.63849 + 22.6086i 0.404756 + 1.37847i 0.869896 + 0.493235i \(0.164186\pi\)
−0.465140 + 0.885237i \(0.653996\pi\)
\(270\) −3.65571 + 0.526072i −0.222479 + 0.0320157i
\(271\) 10.8107 + 23.6720i 0.656700 + 1.43797i 0.885565 + 0.464515i \(0.153771\pi\)
−0.228865 + 0.973458i \(0.573501\pi\)
\(272\) −8.56949 2.51164i −0.519601 0.152290i
\(273\) 4.04700 2.60085i 0.244936 0.157411i
\(274\) −11.1604 5.09510i −0.674222 0.307806i
\(275\) 8.83458i 0.532745i
\(276\) 6.98128 6.57737i 0.420223 0.395911i
\(277\) 5.40470i 0.324737i −0.986730 0.162369i \(-0.948087\pi\)
0.986730 0.162369i \(-0.0519134\pi\)
\(278\) 10.2092 22.3623i 0.612306 1.34120i
\(279\) −0.445741 + 0.286460i −0.0266858 + 0.0171499i
\(280\) −11.4559 7.35625i −0.684619 0.439620i
\(281\) −0.436338 0.955446i −0.0260297 0.0569972i 0.896171 0.443710i \(-0.146338\pi\)
−0.922200 + 0.386713i \(0.873611\pi\)
\(282\) 0.412675 + 2.86771i 0.0245745 + 0.170770i
\(283\) 7.33493 + 24.9805i 0.436017 + 1.48494i 0.825765 + 0.564015i \(0.190744\pi\)
−0.389748 + 0.920921i \(0.627438\pi\)
\(284\) 23.4311 0.00577752i 1.39038 0.000342833i
\(285\) −4.41724 2.01728i −0.261654 0.119494i
\(286\) −0.00220849 17.9133i −0.000130591 1.05924i
\(287\) −4.54020 5.23967i −0.267999 0.309288i
\(288\) 3.06126 + 4.75696i 0.180386 + 0.280307i
\(289\) 11.5292 + 3.38529i 0.678191 + 0.199135i
\(290\) −5.17614 0.743565i −0.303953 0.0436636i
\(291\) 6.43653 10.0154i 0.377316 0.587115i
\(292\) −9.06436 + 10.4660i −0.530452 + 0.612479i
\(293\) 33.7146 + 4.84743i 1.96963 + 0.283190i 0.999110 + 0.0421698i \(0.0134270\pi\)
0.970520 + 0.241020i \(0.0774821\pi\)
\(294\) −3.33729 3.85048i −0.194635 0.224565i
\(295\) −1.26987 8.83213i −0.0739346 0.514227i
\(296\) −2.68922 + 18.7532i −0.156308 + 1.09001i
\(297\) 3.17797 3.66757i 0.184404 0.212814i
\(298\) −15.9447 + 4.68393i −0.923653 + 0.271333i
\(299\) −9.11311 + 8.58163i −0.527025 + 0.496288i
\(300\) −1.96921 3.06248i −0.113692 0.176813i
\(301\) −1.20873 1.04737i −0.0696702 0.0603696i
\(302\) −10.2314 8.86335i −0.588751 0.510029i
\(303\) −1.76671 12.2877i −0.101495 0.705913i
\(304\) 0.00366789 + 7.43768i 0.000210368 + 0.426580i
\(305\) 0.875302 6.08786i 0.0501197 0.348590i
\(306\) 1.70725 + 2.65581i 0.0975970 + 0.151823i
\(307\) −6.75808 + 10.5158i −0.385704 + 0.600167i −0.978764 0.204991i \(-0.934283\pi\)
0.593060 + 0.805158i \(0.297920\pi\)
\(308\) 17.7059 2.55017i 1.00888 0.145310i
\(309\) −3.35876 + 11.4389i −0.191073 + 0.650736i
\(310\) −1.64641 1.05780i −0.0935101 0.0600790i
\(311\) −9.20654 10.6249i −0.522055 0.602483i 0.432089 0.901831i \(-0.357777\pi\)
−0.954144 + 0.299347i \(0.903231\pi\)
\(312\) −3.99360 6.20911i −0.226093 0.351522i
\(313\) 9.81781 21.4980i 0.554935 1.21514i −0.399503 0.916732i \(-0.630817\pi\)
0.954439 0.298407i \(-0.0964553\pi\)
\(314\) 29.5492 + 8.67248i 1.66756 + 0.489416i
\(315\) 1.35609 + 4.61843i 0.0764072 + 0.260219i
\(316\) 8.30159 + 18.1661i 0.467001 + 1.02192i
\(317\) 13.1275 5.99514i 0.737315 0.336720i −0.0111116 0.999938i \(-0.503537\pi\)
0.748426 + 0.663218i \(0.230810\pi\)
\(318\) 15.0953 6.89604i 0.846502 0.386710i
\(319\) 5.78024 3.71474i 0.323631 0.207985i
\(320\) −11.2825 + 17.5845i −0.630712 + 0.983005i
\(321\) 16.1197 0.899713
\(322\) −9.77864 7.78708i −0.544942 0.433957i
\(323\) 4.15114i 0.230976i
\(324\) 0.284142 1.97971i 0.0157856 0.109984i
\(325\) 2.56895 + 3.99736i 0.142500 + 0.221734i
\(326\) −4.99383 10.9314i −0.276583 0.605435i
\(327\) −2.01796 4.41872i −0.111594 0.244356i
\(328\) −8.03830 + 6.97043i −0.443841 + 0.384878i
\(329\) 3.62292 1.06378i 0.199738 0.0586483i
\(330\) 17.1981 + 5.04751i 0.946724 + 0.277856i
\(331\) −29.9583 13.6815i −1.64666 0.752004i −0.646717 0.762730i \(-0.723858\pi\)
−0.999942 + 0.0107259i \(0.996586\pi\)
\(332\) −7.95533 27.0687i −0.436605 1.48559i
\(333\) 5.06207 4.38631i 0.277400 0.240368i
\(334\) −10.5160 + 16.3677i −0.575413 + 0.895602i
\(335\) −11.8033 3.46577i −0.644884 0.189355i
\(336\) 5.56926 4.83060i 0.303828 0.263531i
\(337\) −11.2877 7.25414i −0.614878 0.395158i 0.195806 0.980643i \(-0.437268\pi\)
−0.810683 + 0.585485i \(0.800904\pi\)
\(338\) −4.73157 7.36047i −0.257363 0.400357i
\(339\) 17.6635 + 2.53962i 0.959347 + 0.137933i
\(340\) −6.30187 + 9.81123i −0.341767 + 0.532088i
\(341\) 2.54514 0.365937i 0.137827 0.0198166i
\(342\) 1.72179 1.98754i 0.0931036 0.107474i
\(343\) −12.7975 + 14.7691i −0.690999 + 0.797456i
\(344\) −1.60663 + 1.85553i −0.0866236 + 0.100044i
\(345\) −5.66977 11.1680i −0.305250 0.601266i
\(346\) 18.2824 5.37065i 0.982869 0.288728i
\(347\) 9.24581 + 8.01154i 0.496341 + 0.430082i 0.866717 0.498800i \(-0.166226\pi\)
−0.370376 + 0.928882i \(0.620771\pi\)
\(348\) 1.17570 2.57611i 0.0630241 0.138094i
\(349\) 1.85621 0.266883i 0.0993606 0.0142859i −0.0924552 0.995717i \(-0.529471\pi\)
0.191816 + 0.981431i \(0.438562\pi\)
\(350\) −3.58573 + 3.10783i −0.191665 + 0.166120i
\(351\) −0.371459 + 2.58356i −0.0198270 + 0.137900i
\(352\) −3.92359 27.1702i −0.209128 1.44818i
\(353\) 31.1623 + 20.0268i 1.65860 + 1.06592i 0.920112 + 0.391655i \(0.128097\pi\)
0.738490 + 0.674264i \(0.235539\pi\)
\(354\) 4.78279 + 0.687059i 0.254202 + 0.0365168i
\(355\) 8.61999 29.3570i 0.457501 1.55811i
\(356\) −15.1537 4.44548i −0.803146 0.235610i
\(357\) 3.10966 2.69454i 0.164581 0.142610i
\(358\) 36.6258 0.00451551i 1.93573 0.000238652i
\(359\) −1.19107 + 2.60807i −0.0628622 + 0.137649i −0.938456 0.345400i \(-0.887743\pi\)
0.875593 + 0.483049i \(0.160471\pi\)
\(360\) 7.08675 2.08370i 0.373504 0.109821i
\(361\) −14.9130 + 4.37885i −0.784894 + 0.230466i
\(362\) 0.310042 + 2.15450i 0.0162954 + 0.113238i
\(363\) −11.4163 + 5.21367i −0.599203 + 0.273647i
\(364\) −7.26978 + 6.30244i −0.381040 + 0.330338i
\(365\) 9.77458 + 15.2095i 0.511625 + 0.796104i
\(366\) 3.02974 + 1.38319i 0.158367 + 0.0723003i
\(367\) 21.4917 1.12186 0.560929 0.827864i \(-0.310444\pi\)
0.560929 + 0.827864i \(0.310444\pi\)
\(368\) −11.9446 + 15.0109i −0.622656 + 0.782496i
\(369\) 3.76167 0.195825
\(370\) 22.5042 + 10.2740i 1.16994 + 0.534117i
\(371\) −11.6934 18.1952i −0.607089 0.944649i
\(372\) 0.800701 0.694157i 0.0415144 0.0359904i
\(373\) −15.9124 + 7.26694i −0.823912 + 0.376268i −0.782328 0.622867i \(-0.785968\pi\)
−0.0415840 + 0.999135i \(0.513240\pi\)
\(374\) −2.18237 15.1654i −0.112848 0.784185i
\(375\) 7.96730 2.33941i 0.411429 0.120807i
\(376\) −1.63456 5.55918i −0.0842958 0.286693i
\(377\) −1.53519 + 3.36160i −0.0790663 + 0.173131i
\(378\) −2.60652 0.000321351i −0.134065 1.65285e-5i
\(379\) 3.17370 2.75002i 0.163022 0.141259i −0.569530 0.821971i \(-0.692875\pi\)
0.732552 + 0.680711i \(0.238329\pi\)
\(380\) 9.31940 + 2.73393i 0.478075 + 0.140248i
\(381\) −1.85685 + 6.32385i −0.0951293 + 0.323981i
\(382\) 34.1724 + 4.90895i 1.74841 + 0.251164i
\(383\) −4.02529 2.58690i −0.205683 0.132184i 0.433745 0.901036i \(-0.357192\pi\)
−0.639427 + 0.768852i \(0.720828\pi\)
\(384\) −7.41628 8.54393i −0.378460 0.436006i
\(385\) 3.32432 23.1212i 0.169423 1.17836i
\(386\) 1.31679 1.14129i 0.0670230 0.0580903i
\(387\) 0.858942 0.123497i 0.0436625 0.00627772i
\(388\) −9.88600 + 21.6614i −0.501885 + 1.09969i
\(389\) 3.82435 + 3.31382i 0.193902 + 0.168017i 0.746401 0.665497i \(-0.231780\pi\)
−0.552499 + 0.833514i \(0.686326\pi\)
\(390\) −9.24931 + 2.71708i −0.468357 + 0.137585i
\(391\) −6.67070 + 8.37463i −0.337352 + 0.423523i
\(392\) 7.70426 + 6.67079i 0.389124 + 0.336926i
\(393\) −6.63074 + 7.65229i −0.334477 + 0.386007i
\(394\) 2.73911 3.16189i 0.137994 0.159294i
\(395\) 25.8154 3.71170i 1.29891 0.186756i
\(396\) −5.24532 + 8.16631i −0.263587 + 0.410373i
\(397\) −5.99768 0.862337i −0.301015 0.0432794i −0.00984753 0.999952i \(-0.503135\pi\)
−0.291168 + 0.956672i \(0.594044\pi\)
\(398\) −6.60536 10.2754i −0.331097 0.515057i
\(399\) −2.88303 1.85281i −0.144332 0.0927567i
\(400\) 4.77135 + 5.50095i 0.238568 + 0.275048i
\(401\) −26.5150 7.78550i −1.32409 0.388789i −0.458126 0.888887i \(-0.651479\pi\)
−0.865969 + 0.500098i \(0.833297\pi\)
\(402\) 3.60077 5.60443i 0.179590 0.279523i
\(403\) −1.04519 + 0.905660i −0.0520645 + 0.0451142i
\(404\) 7.00079 + 23.8208i 0.348302 + 1.18513i
\(405\) −2.37560 1.08490i −0.118044 0.0539091i
\(406\) −3.54109 1.03928i −0.175741 0.0515788i
\(407\) −31.1883 + 9.15772i −1.54595 + 0.453931i
\(408\) −4.13685 4.77061i −0.204804 0.236180i
\(409\) 13.7237 + 30.0506i 0.678592 + 1.48591i 0.864128 + 0.503272i \(0.167870\pi\)
−0.185536 + 0.982637i \(0.559402\pi\)
\(410\) 5.77301 + 12.6370i 0.285109 + 0.624097i
\(411\) −4.69010 7.29793i −0.231345 0.359980i
\(412\) 3.38748 23.6018i 0.166889 1.16278i
\(413\) 6.29719i 0.309864i
\(414\) 6.66748 1.24289i 0.327689 0.0610847i
\(415\) −36.8412 −1.80846
\(416\) 9.67595 + 11.1527i 0.474403 + 0.546808i
\(417\) 14.6231 9.39767i 0.716094 0.460206i
\(418\) −11.6074 + 5.30264i −0.567735 + 0.259360i
\(419\) −25.0576 + 11.4434i −1.22414 + 0.559047i −0.919376 0.393381i \(-0.871305\pi\)
−0.304766 + 0.952427i \(0.598578\pi\)
\(420\) −4.00128 8.75588i −0.195243 0.427243i
\(421\) −8.96532 30.5331i −0.436943 1.48809i −0.824296 0.566160i \(-0.808429\pi\)
0.387353 0.921932i \(-0.373390\pi\)
\(422\) −36.1312 10.6042i −1.75884 0.516206i
\(423\) −0.851046 + 1.86353i −0.0413793 + 0.0906080i
\(424\) −27.9160 + 17.9551i −1.35572 + 0.871979i
\(425\) 2.66149 + 3.07152i 0.129101 + 0.148991i
\(426\) 13.9392 + 8.95577i 0.675357 + 0.433908i
\(427\) 1.22288 4.16474i 0.0591792 0.201546i
\(428\) −31.9101 + 4.59601i −1.54243 + 0.222156i
\(429\) 6.84810 10.6558i 0.330629 0.514469i
\(430\) 1.73309 + 2.69601i 0.0835771 + 0.130013i
\(431\) −3.79483 + 26.3936i −0.182790 + 1.27134i 0.667336 + 0.744757i \(0.267435\pi\)
−0.850126 + 0.526579i \(0.823475\pi\)
\(432\) 0.00197260 + 4.00000i 9.49069e−5 + 0.192450i
\(433\) 1.61112 + 11.2056i 0.0774255 + 0.538506i 0.991209 + 0.132305i \(0.0422377\pi\)
−0.913784 + 0.406201i \(0.866853\pi\)
\(434\) −1.04385 0.904280i −0.0501066 0.0434068i
\(435\) −2.79450 2.42145i −0.133986 0.116100i
\(436\) 5.25456 + 8.17183i 0.251648 + 0.391359i
\(437\) 8.25789 + 3.36578i 0.395028 + 0.161007i
\(438\) −9.39340 + 2.75941i −0.448834 + 0.131850i
\(439\) −2.24901 + 2.59550i −0.107340 + 0.123876i −0.806877 0.590719i \(-0.798844\pi\)
0.699537 + 0.714596i \(0.253389\pi\)
\(440\) −35.4840 5.08843i −1.69163 0.242582i
\(441\) −0.512766 3.56636i −0.0244174 0.169827i
\(442\) 5.39730 + 6.22727i 0.256724 + 0.296201i
\(443\) 7.73978 + 1.11281i 0.367728 + 0.0528713i 0.323702 0.946159i \(-0.395072\pi\)
0.0440259 + 0.999030i \(0.485982\pi\)
\(444\) −8.77012 + 10.1263i −0.416211 + 0.480573i
\(445\) −11.1489 + 17.3481i −0.528509 + 0.822377i
\(446\) −4.24658 0.610032i −0.201082 0.0288859i
\(447\) −11.2750 3.31065i −0.533291 0.156588i
\(448\) −9.64747 + 11.1504i −0.455800 + 0.526808i
\(449\) 16.4297 + 18.9608i 0.775363 + 0.894817i 0.996765 0.0803657i \(-0.0256088\pi\)
−0.221402 + 0.975183i \(0.571063\pi\)
\(450\) −0.000317410 2.57455i −1.49628e−5 0.121365i
\(451\) −16.6053 7.58338i −0.781912 0.357087i
\(452\) −35.6902 + 0.00880032i −1.67873 + 0.000413932i
\(453\) −2.69670 9.18412i −0.126702 0.431508i
\(454\) 2.18357 + 15.1738i 0.102480 + 0.712143i
\(455\) 5.21910 + 11.4282i 0.244675 + 0.535764i
\(456\) −2.84172 + 4.42540i −0.133076 + 0.207238i
\(457\) 6.94514 4.46337i 0.324880 0.208788i −0.368026 0.929815i \(-0.619966\pi\)
0.692906 + 0.721028i \(0.256330\pi\)
\(458\) 9.37555 20.5363i 0.438091 0.959598i
\(459\) 2.23249i 0.104204i
\(460\) 14.4079 + 20.4914i 0.671773 + 0.955415i
\(461\) 5.22218i 0.243221i 0.992578 + 0.121611i \(0.0388059\pi\)
−0.992578 + 0.121611i \(0.961194\pi\)
\(462\) 11.5067 + 5.25322i 0.535340 + 0.244402i
\(463\) 1.83891 1.18180i 0.0854615 0.0549228i −0.497212 0.867629i \(-0.665643\pi\)
0.582674 + 0.812706i \(0.302007\pi\)
\(464\) −1.59289 + 5.43480i −0.0739481 + 0.252304i
\(465\) −0.574837 1.25872i −0.0266574 0.0583717i
\(466\) 36.6189 5.26961i 1.69634 0.244110i
\(467\) −4.80858 16.3765i −0.222515 0.757815i −0.992765 0.120073i \(-0.961687\pi\)
0.770250 0.637742i \(-0.220131\pi\)
\(468\) −0.00128718 5.22025i −5.95001e−5 0.241306i
\(469\) −7.89707 3.60647i −0.364653 0.166531i
\(470\) −7.56647 0.000932853i −0.349015 4.30293e-5i
\(471\) 14.2601 + 16.4570i 0.657071 + 0.758300i
\(472\) −9.66376 + 0.00357427i −0.444811 + 0.000164519i
\(473\) −4.04063 1.18644i −0.185788 0.0545524i
\(474\) −2.00820 + 13.9796i −0.0922398 + 0.642104i
\(475\) 1.83009 2.84767i 0.0839702 0.130660i
\(476\) −5.38754 + 6.22066i −0.246938 + 0.285123i
\(477\) 11.6156 + 1.67007i 0.531842 + 0.0764674i
\(478\) −21.6001 + 18.7212i −0.987964 + 0.856289i
\(479\) 1.52925 + 10.6361i 0.0698730 + 0.485977i 0.994469 + 0.105029i \(0.0334935\pi\)
−0.924596 + 0.380949i \(0.875597\pi\)
\(480\) −13.4346 + 6.14540i −0.613204 + 0.280498i
\(481\) 11.4488 13.2126i 0.522020 0.602444i
\(482\) 5.85431 + 19.9289i 0.266657 + 0.907735i
\(483\) −2.83892 8.37082i −0.129175 0.380886i
\(484\) 21.1130 13.5758i 0.959681 0.617084i
\(485\) 23.4979 + 20.3610i 1.06698 + 0.924546i
\(486\) 0.925981 1.06891i 0.0420034 0.0484865i
\(487\) 2.69121 + 18.7178i 0.121951 + 0.848185i 0.955342 + 0.295502i \(0.0954869\pi\)
−0.833392 + 0.552683i \(0.813604\pi\)
\(488\) −6.39196 1.87428i −0.289351 0.0848448i
\(489\) 1.20940 8.41156i 0.0546910 0.380384i
\(490\) 11.1940 7.19587i 0.505692 0.325076i
\(491\) −10.9268 + 17.0024i −0.493119 + 0.767308i −0.995236 0.0974913i \(-0.968918\pi\)
0.502117 + 0.864799i \(0.332555\pi\)
\(492\) −7.44649 + 1.07252i −0.335714 + 0.0483529i
\(493\) −0.890525 + 3.03285i −0.0401072 + 0.136593i
\(494\) 3.71004 5.77450i 0.166923 0.259807i
\(495\) 8.29959 + 9.57824i 0.373039 + 0.430510i
\(496\) −1.38713 + 1.60243i −0.0622840 + 0.0719512i
\(497\) 8.96994 19.6414i 0.402357 0.881039i
\(498\) 5.61819 19.1425i 0.251757 0.857796i
\(499\) −8.56623 29.1739i −0.383477 1.30600i −0.894743 0.446581i \(-0.852642\pi\)
0.511266 0.859422i \(-0.329177\pi\)
\(500\) −15.1048 + 6.90265i −0.675509 + 0.308696i
\(501\) −12.5135 + 5.71471i −0.559061 + 0.255314i
\(502\) 4.07107 + 8.91149i 0.181701 + 0.397739i
\(503\) 26.9415 17.3142i 1.20126 0.772003i 0.222087 0.975027i \(-0.428713\pi\)
0.979174 + 0.203024i \(0.0650769\pi\)
\(504\) 5.15970 0.743800i 0.229831 0.0331315i
\(505\) 32.4207 1.44270
\(506\) −31.9381 7.95484i −1.41982 0.353636i
\(507\) 6.18726i 0.274786i
\(508\) 1.87273 13.0479i 0.0830888 0.578909i
\(509\) −11.8980 18.5136i −0.527368 0.820601i 0.470728 0.882278i \(-0.343991\pi\)
−0.998096 + 0.0616775i \(0.980355\pi\)
\(510\) −7.49987 + 3.42619i −0.332100 + 0.151714i
\(511\) 5.30041 + 11.6063i 0.234476 + 0.513432i
\(512\) 17.1171 + 14.7988i 0.756476 + 0.654022i
\(513\) 1.78410 0.523859i 0.0787699 0.0231289i
\(514\) −8.00483 + 27.2744i −0.353078 + 1.20302i
\(515\) −28.3215 12.9340i −1.24799 0.569939i
\(516\) −1.66513 + 0.489371i −0.0733031 + 0.0215434i
\(517\) 7.51362 6.51059i 0.330449 0.286335i
\(518\) 14.6883 + 9.43704i 0.645367 + 0.414640i
\(519\) 12.9281 + 3.79603i 0.567480 + 0.166627i
\(520\) 17.5350 8.01581i 0.768961 0.351516i
\(521\) 12.3936 + 7.96489i 0.542974 + 0.348948i 0.783201 0.621769i \(-0.213586\pi\)
−0.240227 + 0.970717i \(0.577222\pi\)
\(522\) 1.68433 1.08274i 0.0737210 0.0473905i
\(523\) 22.6053 + 3.25016i 0.988463 + 0.142119i 0.617536 0.786543i \(-0.288131\pi\)
0.370927 + 0.928662i \(0.379040\pi\)
\(524\) 10.9442 17.0388i 0.478101 0.744343i
\(525\) −3.32115 + 0.477509i −0.144947 + 0.0208402i
\(526\) 10.3864 + 8.99760i 0.452867 + 0.392314i
\(527\) −0.774630 + 0.893971i −0.0337434 + 0.0389420i
\(528\) 8.05514 17.6613i 0.350555 0.768611i
\(529\) 11.2510 + 20.0603i 0.489175 + 0.872185i
\(530\) 12.2159 + 41.5847i 0.530626 + 1.80632i
\(531\) 2.58214 + 2.23743i 0.112055 + 0.0970964i
\(532\) 6.23544 + 2.84577i 0.270341 + 0.123380i
\(533\) 9.71848 1.39731i 0.420954 0.0605240i
\(534\) −7.31378 8.43846i −0.316498 0.365168i
\(535\) −5.99120 + 41.6697i −0.259022 + 1.80154i
\(536\) −5.53006 + 12.1210i −0.238862 + 0.523548i
\(537\) 21.7871 + 14.0017i 0.940182 + 0.604218i
\(538\) 4.73833 32.9847i 0.204284 1.42207i
\(539\) −4.92613 + 16.7769i −0.212184 + 0.722631i
\(540\) 5.01200 + 1.47031i 0.215682 + 0.0632722i
\(541\) 31.9033 27.6444i 1.37163 1.18853i 0.410689 0.911775i \(-0.365288\pi\)
0.960942 0.276750i \(-0.0892572\pi\)
\(542\) −0.00453737 36.8031i −0.000194897 1.58083i
\(543\) −0.639389 + 1.40007i −0.0274388 + 0.0600826i
\(544\) 9.54937 + 8.26428i 0.409426 + 0.354328i
\(545\) 12.1725 3.57417i 0.521413 0.153101i
\(546\) −6.73396 + 0.969045i −0.288187 + 0.0414713i
\(547\) −18.4816 + 8.44026i −0.790216 + 0.360880i −0.769289 0.638901i \(-0.779389\pi\)
−0.0209275 + 0.999781i \(0.506662\pi\)
\(548\) 11.3652 + 13.1096i 0.485495 + 0.560013i
\(549\) 1.27324 + 1.98120i 0.0543404 + 0.0845554i
\(550\) −5.18879 + 11.3656i −0.221251 + 0.484629i
\(551\) 2.63267 0.112155
\(552\) −12.8444 + 4.36140i −0.546693 + 0.185634i
\(553\) 18.4060 0.782704
\(554\) −3.17433 + 6.95308i −0.134864 + 0.295408i
\(555\) 9.45728 + 14.7158i 0.401439 + 0.624652i
\(556\) −26.2680 + 22.7727i −1.11401 + 0.965776i
\(557\) −23.3541 + 10.6655i −0.989544 + 0.451910i −0.843361 0.537348i \(-0.819426\pi\)
−0.146183 + 0.989258i \(0.546699\pi\)
\(558\) 0.741685 0.106732i 0.0313980 0.00451831i
\(559\) 2.17325 0.638124i 0.0919187 0.0269898i
\(560\) 10.4173 + 16.1921i 0.440211 + 0.684239i
\(561\) 4.50062 9.85499i 0.190016 0.416078i
\(562\) 0.000183137 1.48544i 7.72515e−6 0.0626596i
\(563\) 32.1348 27.8450i 1.35432 1.17353i 0.386383 0.922338i \(-0.373724\pi\)
0.967938 0.251188i \(-0.0808213\pi\)
\(564\) 1.15338 3.93165i 0.0485662 0.165552i
\(565\) −13.1300 + 44.7165i −0.552382 + 1.88124i
\(566\) 5.23542 36.4451i 0.220061 1.53190i
\(567\) −1.55050 0.996447i −0.0651150 0.0418468i
\(568\) −30.1471 13.7543i −1.26495 0.577116i
\(569\) 2.99106 20.8033i 0.125392 0.872120i −0.825897 0.563820i \(-0.809331\pi\)
0.951289 0.308300i \(-0.0997599\pi\)
\(570\) 4.49791 + 5.18957i 0.188397 + 0.217367i
\(571\) −8.17895 + 1.17596i −0.342278 + 0.0492122i −0.311311 0.950308i \(-0.600768\pi\)
−0.0309677 + 0.999520i \(0.509859\pi\)
\(572\) −10.5181 + 23.0465i −0.439785 + 0.963624i
\(573\) 18.4491 + 15.9862i 0.770720 + 0.667833i
\(574\) 2.76350 + 9.40734i 0.115346 + 0.392655i
\(575\) 8.26815 2.80410i 0.344806 0.116939i
\(576\) −1.14438 7.91773i −0.0476823 0.329905i
\(577\) −18.5159 + 21.3685i −0.770827 + 0.889582i −0.996411 0.0846418i \(-0.973025\pi\)
0.225584 + 0.974224i \(0.427571\pi\)
\(578\) −12.8439 11.1266i −0.534237 0.462804i
\(579\) 1.21963 0.175356i 0.0506861 0.00728756i
\(580\) 6.22232 + 3.99667i 0.258368 + 0.165953i
\(581\) −25.7353 3.70017i −1.06768 0.153509i
\(582\) −14.1628 + 9.10437i −0.587069 + 0.377388i
\(583\) −47.9085 30.7889i −1.98417 1.27515i
\(584\) 17.8082 8.14068i 0.736907 0.336864i
\(585\) −6.54049 1.92046i −0.270416 0.0794013i
\(586\) −40.5264 26.0377i −1.67413 1.07561i
\(587\) −26.0822 + 22.6004i −1.07653 + 0.932817i −0.997944 0.0640906i \(-0.979585\pi\)
−0.0785840 + 0.996907i \(0.525040\pi\)
\(588\) 2.03189 + 6.91368i 0.0837938 + 0.285115i
\(589\) 0.896187 + 0.409275i 0.0369267 + 0.0168639i
\(590\) −3.55368 + 12.1082i −0.146303 + 0.498489i
\(591\) 2.83824 0.833382i 0.116750 0.0342807i
\(592\) 14.4739 22.5463i 0.594874 0.926646i
\(593\) −13.5332 29.6335i −0.555740 1.21690i −0.954049 0.299650i \(-0.903130\pi\)
0.398309 0.917251i \(-0.369597\pi\)
\(594\) −6.24247 + 2.85177i −0.256132 + 0.117010i
\(595\) 5.80967 + 9.04003i 0.238173 + 0.370605i
\(596\) 23.2637 + 3.33895i 0.952917 + 0.136769i
\(597\) 8.63753i 0.353511i
\(598\) 16.7641 5.68777i 0.685536 0.232590i
\(599\) 26.5132 1.08330 0.541649 0.840604i \(-0.317800\pi\)
0.541649 + 0.840604i \(0.317800\pi\)
\(600\) 0.734677 + 5.09641i 0.0299931 + 0.208060i
\(601\) −9.52709 + 6.12269i −0.388618 + 0.249750i −0.720331 0.693631i \(-0.756010\pi\)
0.331713 + 0.943380i \(0.392374\pi\)
\(602\) 0.939868 + 2.05735i 0.0383062 + 0.0838514i
\(603\) 4.28470 1.95676i 0.174487 0.0796853i
\(604\) 7.95687 + 17.4118i 0.323761 + 0.708474i
\(605\) −9.23434 31.4493i −0.375429 1.27860i
\(606\) −4.94408 + 16.8457i −0.200839 + 0.684308i
\(607\) 10.8811 23.8262i 0.441649 0.967076i −0.549644 0.835399i \(-0.685237\pi\)
0.991293 0.131677i \(-0.0420361\pi\)
\(608\) 4.36363 9.57062i 0.176969 0.388140i
\(609\) −1.70889 1.97216i −0.0692476 0.0799160i
\(610\) −4.70163 + 7.31786i −0.190363 + 0.296292i
\(611\) −1.50650 + 5.13067i −0.0609465 + 0.207565i
\(612\) −0.636524 4.41938i −0.0257299 0.178643i
\(613\) 12.5472 19.5239i 0.506778 0.788561i −0.489747 0.871865i \(-0.662911\pi\)
0.996524 + 0.0833034i \(0.0265471\pi\)
\(614\) 14.8704 9.55920i 0.600119 0.385778i
\(615\) −1.39810 + 9.72399i −0.0563768 + 0.392109i
\(616\) −24.2761 7.11836i −0.978113 0.286807i
\(617\) −0.588568 4.09358i −0.0236949 0.164801i 0.974538 0.224222i \(-0.0719839\pi\)
−0.998233 + 0.0594201i \(0.981075\pi\)
\(618\) 11.0394 12.7433i 0.444069 0.512611i
\(619\) 8.50677 + 7.37116i 0.341916 + 0.296272i 0.808844 0.588024i \(-0.200094\pi\)
−0.466928 + 0.884295i \(0.654639\pi\)
\(620\) 1.49682 + 2.32783i 0.0601136 + 0.0934878i
\(621\) 4.44111 + 1.81012i 0.178216 + 0.0726377i
\(622\) 5.60379 + 19.0761i 0.224691 + 0.764880i
\(623\) −9.53039 + 10.9987i −0.381827 + 0.440652i
\(624\) 1.49093 + 10.3335i 0.0596851 + 0.413671i
\(625\) 4.38162 + 30.4749i 0.175265 + 1.21899i
\(626\) −25.2568 + 21.8906i −1.00947 + 0.874925i
\(627\) −8.93171 1.28419i −0.356698 0.0512854i
\(628\) −32.9211 28.5121i −1.31370 1.13776i
\(629\) 8.08442 12.5796i 0.322347 0.501582i
\(630\) 0.967933 6.73802i 0.0385634 0.268449i
\(631\) −29.7434 8.73345i −1.18407 0.347673i −0.370326 0.928902i \(-0.620754\pi\)
−0.813740 + 0.581228i \(0.802572\pi\)
\(632\) −0.0104472 28.2462i −0.000415568 1.12357i
\(633\) −17.4365 20.1228i −0.693038 0.799808i
\(634\) −20.4095 + 0.00251624i −0.810564 + 9.99325e-5i
\(635\) −15.6572 7.15038i −0.621335 0.283754i
\(636\) −23.4701 + 0.00578715i −0.930650 + 0.000229475i
\(637\) −2.64952 9.02343i −0.104978 0.357521i
\(638\) −9.61797 + 1.38407i −0.380779 + 0.0547957i
\(639\) 4.86681 + 10.6568i 0.192528 + 0.421578i
\(640\) 24.8427 15.9957i 0.981993 0.632287i
\(641\) 38.8596 24.9736i 1.53486 0.986397i 0.545964 0.837809i \(-0.316163\pi\)
0.988899 0.148588i \(-0.0474729\pi\)
\(642\) −20.7378 9.46752i −0.818454 0.373653i
\(643\) 28.9678i 1.14238i −0.820818 0.571189i \(-0.806482\pi\)
0.820818 0.571189i \(-0.193518\pi\)
\(644\) 8.00652 + 15.7612i 0.315501 + 0.621079i
\(645\) 2.26629i 0.0892349i
\(646\) 2.43808 5.34039i 0.0959249 0.210115i
\(647\) 23.3498 15.0060i 0.917976 0.589948i 0.00590657 0.999983i \(-0.498120\pi\)
0.912070 + 0.410035i \(0.134484\pi\)
\(648\) −1.52828 + 2.37999i −0.0600366 + 0.0934948i
\(649\) −6.88785 15.0823i −0.270372 0.592032i
\(650\) −0.957159 6.65137i −0.0375429 0.260888i
\(651\) −0.275130 0.937006i −0.0107832 0.0367242i
\(652\) 0.00419082 + 16.9961i 0.000164125 + 0.665619i
\(653\) −19.8169 9.05009i −0.775497 0.354157i −0.0119655 0.999928i \(-0.503809\pi\)
−0.763531 + 0.645771i \(0.776536\pi\)
\(654\) 0.000846965 6.86983i 3.31190e−5 0.268632i
\(655\) −17.3169 19.9847i −0.676627 0.780869i
\(656\) 14.4351 4.24626i 0.563595 0.165788i
\(657\) −6.64238 1.95038i −0.259144 0.0760915i
\(658\) −5.28562 0.759292i −0.206055 0.0296003i
\(659\) 10.9176 16.9882i 0.425291 0.661766i −0.560804 0.827949i \(-0.689508\pi\)
0.986095 + 0.166183i \(0.0531442\pi\)
\(660\) −19.1606 16.5945i −0.745824 0.645938i
\(661\) −40.4903 5.82162i −1.57489 0.226435i −0.701216 0.712949i \(-0.747359\pi\)
−0.873673 + 0.486514i \(0.838268\pi\)
\(662\) 30.5055 + 35.1964i 1.18563 + 1.36795i
\(663\) 0.829280 + 5.76777i 0.0322066 + 0.224002i
\(664\) −5.66373 + 39.4958i −0.219796 + 1.53274i
\(665\) 5.86110 6.76407i 0.227284 0.262299i
\(666\) −9.08848 + 2.66984i −0.352171 + 0.103454i
\(667\) 5.31122 + 4.23058i 0.205651 + 0.163809i
\(668\) 23.1420 14.8805i 0.895389 0.575744i
\(669\) −2.29265 1.98659i −0.0886390 0.0768062i
\(670\) 13.1493 + 11.3911i 0.508000 + 0.440075i
\(671\) −1.62649 11.3125i −0.0627899 0.436713i
\(672\) −10.0019 + 2.94353i −0.385832 + 0.113549i
\(673\) −3.05352 + 21.2377i −0.117704 + 0.818653i 0.842368 + 0.538902i \(0.181161\pi\)
−0.960073 + 0.279750i \(0.909748\pi\)
\(674\) 10.2609 + 15.9619i 0.395234 + 0.614829i
\(675\) 0.984225 1.53148i 0.0378828 0.0589469i
\(676\) 1.76410 + 12.2481i 0.0678499 + 0.471082i
\(677\) 0.992982 3.38178i 0.0381634 0.129973i −0.938208 0.346072i \(-0.887515\pi\)
0.976371 + 0.216099i \(0.0693335\pi\)
\(678\) −21.2322 13.6414i −0.815418 0.523895i
\(679\) 14.3694 + 16.5831i 0.551445 + 0.636402i
\(680\) 13.8697 8.92075i 0.531878 0.342095i
\(681\) −4.50311 + 9.86044i −0.172560 + 0.377853i
\(682\) −3.48922 1.02406i −0.133609 0.0392133i
\(683\) −3.65308 12.4412i −0.139781 0.476051i 0.859610 0.510951i \(-0.170707\pi\)
−0.999391 + 0.0349004i \(0.988889\pi\)
\(684\) −3.38239 + 1.54570i −0.129329 + 0.0591011i
\(685\) 20.6085 9.41158i 0.787410 0.359598i
\(686\) 25.1381 11.4839i 0.959776 0.438458i
\(687\) 13.4290 8.63030i 0.512349 0.329266i
\(688\) 3.15671 1.44350i 0.120349 0.0550331i
\(689\) 30.6299 1.16691
\(690\) 0.734794 + 17.6975i 0.0279731 + 0.673733i
\(691\) 31.3390i 1.19219i −0.802914 0.596095i \(-0.796718\pi\)
0.802914 0.596095i \(-0.203282\pi\)
\(692\) −26.6744 3.82849i −1.01401 0.145537i
\(693\) 4.83564 + 7.52441i 0.183691 + 0.285829i
\(694\) −7.18922 15.7371i −0.272899 0.597370i
\(695\) 18.8582 + 41.2938i 0.715333 + 1.56636i
\(696\) −3.02554 + 2.62360i −0.114683 + 0.0994474i
\(697\) 8.05772 2.36596i 0.305208 0.0896172i
\(698\) −2.54474 0.746861i −0.0963197 0.0282691i
\(699\) 23.7961 + 10.8673i 0.900053 + 0.411040i
\(700\) 6.43830 1.89218i 0.243345 0.0715177i
\(701\) 7.65820 6.63587i 0.289246 0.250633i −0.498135 0.867099i \(-0.665982\pi\)
0.787382 + 0.616466i \(0.211436\pi\)
\(702\) 1.99527 3.10554i 0.0753066 0.117211i
\(703\) −11.9500 3.50885i −0.450704 0.132339i
\(704\) −10.9102 + 37.2586i −0.411193 + 1.40424i
\(705\) −4.50096 2.89259i −0.169516 0.108941i
\(706\) −28.3276 44.0667i −1.06612 1.65847i
\(707\) 22.6474 + 3.25620i 0.851742 + 0.122462i
\(708\) −5.74946 3.69295i −0.216078 0.138790i
\(709\) −19.7779 + 2.84364i −0.742776 + 0.106795i −0.503306 0.864109i \(-0.667883\pi\)
−0.239471 + 0.970904i \(0.576974\pi\)
\(710\) −28.3316 + 32.7046i −1.06327 + 1.22738i
\(711\) −6.53979 + 7.54732i −0.245261 + 0.283047i
\(712\) 16.8841 + 14.6192i 0.632759 + 0.547879i
\(713\) 1.15031 + 2.26581i 0.0430793 + 0.0848554i
\(714\) −5.58312 + 1.64010i −0.208943 + 0.0613791i
\(715\) 25.0004 + 21.6629i 0.934961 + 0.810148i
\(716\) −47.1213 21.5055i −1.76100 0.803699i
\(717\) −20.0062 + 2.87646i −0.747147 + 0.107424i
\(718\) 3.06409 2.65571i 0.114351 0.0991101i
\(719\) 5.93536 41.2813i 0.221352 1.53953i −0.511582 0.859234i \(-0.670941\pi\)
0.732934 0.680300i \(-0.238150\pi\)
\(720\) −10.3408 1.48158i −0.385380 0.0552153i
\(721\) −18.4848 11.8795i −0.688410 0.442414i
\(722\) 21.7572 + 3.12547i 0.809717 + 0.116318i
\(723\) −4.13789 + 14.0924i −0.153890 + 0.524100i
\(724\) 0.866534 2.95384i 0.0322045 0.109778i
\(725\) 1.94797 1.68793i 0.0723458 0.0626880i
\(726\) 17.7491 0.00218825i 0.658731 8.12134e-5i
\(727\) −1.62780 + 3.56439i −0.0603718 + 0.132196i −0.937413 0.348219i \(-0.886787\pi\)
0.877041 + 0.480415i \(0.159514\pi\)
\(728\) 13.0541 3.83827i 0.483816 0.142256i
\(729\) 0.959493 0.281733i 0.0355368 0.0104345i
\(730\) −3.64189 25.3077i −0.134792 0.936682i
\(731\) 1.76223 0.804784i 0.0651785 0.0297660i
\(732\) −3.08534 3.55890i −0.114037 0.131541i
\(733\) 5.13833 + 7.99540i 0.189789 + 0.295317i 0.923088 0.384589i \(-0.125657\pi\)
−0.733299 + 0.679906i \(0.762021\pi\)
\(734\) −27.6488 12.6227i −1.02054 0.465911i
\(735\) 9.40971 0.347082
\(736\) 24.1829 12.2959i 0.891393 0.453232i
\(737\) −22.8589 −0.842018
\(738\) −4.83933 2.20933i −0.178138 0.0813265i
\(739\) 10.8062 + 16.8148i 0.397512 + 0.618541i 0.981098 0.193510i \(-0.0619873\pi\)
−0.583586 + 0.812051i \(0.698351\pi\)
\(740\) −22.9171 26.4346i −0.842450 0.971755i
\(741\) 4.41473 2.01614i 0.162179 0.0740647i
\(742\) 4.35680 + 30.2757i 0.159943 + 1.11146i
\(743\) −10.2560 + 3.01142i −0.376255 + 0.110478i −0.464391 0.885630i \(-0.653727\pi\)
0.0881368 + 0.996108i \(0.471909\pi\)
\(744\) −1.43779 + 0.422751i −0.0527119 + 0.0154988i
\(745\) 12.7487 27.9157i 0.467076 1.02275i
\(746\) 24.7391 0.00305003i 0.905764 0.000111669i
\(747\) 10.6612 9.23794i 0.390071 0.337999i
\(748\) −6.09948 + 20.7919i −0.223019 + 0.760226i
\(749\) −8.37026 + 28.5065i −0.305843 + 1.04160i
\(750\) −11.6238 1.66979i −0.424442 0.0609721i
\(751\) −10.0792 6.47750i −0.367795 0.236367i 0.343668 0.939091i \(-0.388331\pi\)
−0.711463 + 0.702724i \(0.751967\pi\)
\(752\) −1.16222 + 8.11183i −0.0423819 + 0.295808i
\(753\) −0.985926 + 6.85727i −0.0359291 + 0.249893i
\(754\) 3.94936 3.42299i 0.143827 0.124658i
\(755\) 24.7434 3.55757i 0.900506 0.129473i
\(756\) 3.35344 + 1.53046i 0.121963 + 0.0556624i
\(757\) −11.6174 10.0665i −0.422241 0.365874i 0.417670 0.908599i \(-0.362847\pi\)
−0.839910 + 0.542725i \(0.817392\pi\)
\(758\) −5.69808 + 1.67387i −0.206964 + 0.0607977i
\(759\) −15.9554 16.9436i −0.579146 0.615014i
\(760\) −10.3836 8.99070i −0.376652 0.326127i
\(761\) 27.4361 31.6629i 0.994556 1.14778i 0.00553843 0.999985i \(-0.498237\pi\)
0.989018 0.147795i \(-0.0472175\pi\)
\(762\) 6.10298 7.04497i 0.221088 0.255212i
\(763\) 8.86203 1.27417i 0.320827 0.0461280i
\(764\) −41.0792 26.3857i −1.48619 0.954601i
\(765\) −5.77105 0.829751i −0.208653 0.0299997i
\(766\) 3.65912 + 5.69217i 0.132210 + 0.205666i
\(767\) 7.50221 + 4.82138i 0.270889 + 0.174090i
\(768\) 4.52286 + 15.3474i 0.163205 + 0.553803i
\(769\) −14.3676 4.21871i −0.518110 0.152131i 0.0122150 0.999925i \(-0.496112\pi\)
−0.530325 + 0.847795i \(0.677930\pi\)
\(770\) −17.8564 + 27.7926i −0.643499 + 1.00158i
\(771\) −15.1901 + 13.1623i −0.547058 + 0.474028i
\(772\) −2.36435 + 0.694869i −0.0850948 + 0.0250089i
\(773\) 19.9535 + 9.11245i 0.717677 + 0.327752i 0.740564 0.671986i \(-0.234558\pi\)
−0.0228868 + 0.999738i \(0.507286\pi\)
\(774\) −1.17755 0.345602i −0.0423262 0.0124224i
\(775\) 0.925514 0.271755i 0.0332454 0.00976174i
\(776\) 25.4406 22.0608i 0.913263 0.791938i
\(777\) 5.12835 + 11.2295i 0.183979 + 0.402857i
\(778\) −2.97368 6.50932i −0.106612 0.233370i
\(779\) −3.78152 5.88416i −0.135487 0.210822i
\(780\) 13.4949 + 1.93688i 0.483196 + 0.0693515i
\(781\) 56.8542i 2.03440i
\(782\) 13.5004 6.85596i 0.482774 0.245169i
\(783\) 1.41586 0.0505986
\(784\) −5.99349 13.1068i −0.214053 0.468100i
\(785\) −47.8419 + 30.7461i −1.70755 + 1.09738i
\(786\) 13.0248 5.95015i 0.464578 0.212235i
\(787\) 31.3360 14.3107i 1.11701 0.510121i 0.230612 0.973046i \(-0.425927\pi\)
0.886397 + 0.462925i \(0.153200\pi\)
\(788\) −5.38089 + 2.45897i −0.191686 + 0.0875972i
\(789\) 2.73755 + 9.32323i 0.0974592 + 0.331916i
\(790\) −35.3912 10.3870i −1.25916 0.369554i
\(791\) −13.6630 + 29.9178i −0.485801 + 1.06376i
\(792\) 11.5443 7.42513i 0.410210 0.263840i
\(793\) 4.02541 + 4.64557i 0.142947 + 0.164969i
\(794\) 7.20946 + 4.63198i 0.255854 + 0.164383i
\(795\) −8.63435 + 29.4059i −0.306229 + 1.04292i
\(796\) 2.46271 + 17.0986i 0.0872886 + 0.606044i
\(797\) −4.07432 + 6.33976i −0.144320 + 0.224566i −0.905886 0.423521i \(-0.860794\pi\)
0.761567 + 0.648087i \(0.224430\pi\)
\(798\) 2.62078 + 4.07690i 0.0927744 + 0.144321i
\(799\) −0.650896 + 4.52708i −0.0230270 + 0.160157i
\(800\) −2.90742 9.87924i −0.102793 0.349284i
\(801\) −1.12374 7.81580i −0.0397055 0.276158i
\(802\) 29.5385 + 25.5889i 1.04304 + 0.903575i
\(803\) 25.3898 + 22.0004i 0.895988 + 0.776378i
\(804\) −7.92397 + 5.09519i −0.279457 + 0.179693i
\(805\) 22.6939 4.22749i 0.799855 0.148999i
\(806\) 1.87654 0.551253i 0.0660983 0.0194171i
\(807\) 15.4305 17.8078i 0.543181 0.626864i
\(808\) 4.98416 34.7568i 0.175342 1.22274i
\(809\) 3.39877 + 23.6390i 0.119495 + 0.831103i 0.958114 + 0.286386i \(0.0924538\pi\)
−0.838620 + 0.544717i \(0.816637\pi\)
\(810\) 2.41898 + 2.79096i 0.0849945 + 0.0980644i
\(811\) 5.75532 + 0.827490i 0.202097 + 0.0290571i 0.242620 0.970122i \(-0.421993\pi\)
−0.0405230 + 0.999179i \(0.512902\pi\)
\(812\) 3.94516 + 3.41680i 0.138448 + 0.119906i
\(813\) 14.0695 21.8926i 0.493439 0.767806i
\(814\) 45.5019 + 6.53646i 1.59484 + 0.229103i
\(815\) 21.2946 + 6.25265i 0.745916 + 0.219021i
\(816\) 2.52009 + 8.56700i 0.0882208 + 0.299905i
\(817\) −1.05666 1.21945i −0.0369677 0.0426630i
\(818\) −0.00576000 46.7200i −0.000201394 1.63353i
\(819\) −4.37595 1.99843i −0.152908 0.0698307i
\(820\) −0.00484470 19.6480i −0.000169184 0.686137i
\(821\) −5.87424 20.0058i −0.205012 0.698208i −0.996236 0.0866814i \(-0.972374\pi\)
0.791224 0.611527i \(-0.209444\pi\)
\(822\) 1.74747 + 12.1433i 0.0609501 + 0.423547i
\(823\) −3.25128 7.11932i −0.113333 0.248164i 0.844463 0.535614i \(-0.179920\pi\)
−0.957796 + 0.287450i \(0.907192\pi\)
\(824\) −18.2199 + 28.3738i −0.634721 + 0.988448i
\(825\) −7.43212 + 4.77633i −0.258753 + 0.166291i
\(826\) −3.69851 + 8.10125i −0.128688 + 0.281878i
\(827\) 15.5514i 0.540776i 0.962751 + 0.270388i \(0.0871520\pi\)
−0.962751 + 0.270388i \(0.912848\pi\)
\(828\) −9.30760 2.31703i −0.323461 0.0805223i
\(829\) 28.7722i 0.999301i 0.866227 + 0.499650i \(0.166538\pi\)
−0.866227 + 0.499650i \(0.833462\pi\)
\(830\) 47.3957 + 21.6378i 1.64513 + 0.751060i
\(831\) −4.54673 + 2.92200i −0.157724 + 0.101363i
\(832\) −5.89767 20.0308i −0.204465 0.694443i
\(833\) −3.34150 7.31686i −0.115776 0.253514i
\(834\) −24.3319 + 3.50146i −0.842544 + 0.121246i
\(835\) −10.1218 34.4716i −0.350278 1.19294i
\(836\) 18.0471 0.00444997i 0.624172 0.000153905i
\(837\) 0.481971 + 0.220109i 0.0166594 + 0.00760808i
\(838\) 38.9572 0.00480294i 1.34575 0.000165915i
\(839\) −10.3234 11.9139i −0.356404 0.411312i 0.549027 0.835804i \(-0.314998\pi\)
−0.905432 + 0.424492i \(0.860453\pi\)
\(840\) 0.00503545 + 13.6144i 0.000173740 + 0.469741i
\(841\) −25.9019 7.60547i −0.893167 0.262258i
\(842\) −6.39914 + 44.5460i −0.220529 + 1.53516i
\(843\) −0.567871 + 0.883624i −0.0195585 + 0.0304336i
\(844\) 40.2541 + 34.8630i 1.38560 + 1.20003i
\(845\) 15.9942 + 2.29962i 0.550217 + 0.0791093i
\(846\) 2.18936 1.89757i 0.0752718 0.0652397i
\(847\) −3.29198 22.8962i −0.113114 0.786723i
\(848\) 46.4591 6.70320i 1.59541 0.230189i
\(849\) 17.0494 19.6760i 0.585133 0.675279i
\(850\) −1.61998 5.51464i −0.0555649 0.189150i
\(851\) −18.4698 26.2820i −0.633136 0.900936i
\(852\) −12.6727 19.7083i −0.434158 0.675197i
\(853\) 21.3236 + 18.4770i 0.730108 + 0.632642i 0.938450 0.345414i \(-0.112261\pi\)
−0.208343 + 0.978056i \(0.566807\pi\)
\(854\) −4.01928 + 4.63965i −0.137537 + 0.158766i
\(855\) 0.691091 + 4.80664i 0.0236348 + 0.164384i
\(856\) 43.7512 + 12.8290i 1.49539 + 0.438484i
\(857\) −7.12206 + 49.5350i −0.243285 + 1.69208i 0.392128 + 0.919910i \(0.371739\pi\)
−0.635413 + 0.772172i \(0.719170\pi\)
\(858\) −15.0685 + 9.68653i −0.514429 + 0.330693i
\(859\) 1.73528 2.70015i 0.0592070 0.0921279i −0.810388 0.585894i \(-0.800744\pi\)
0.869595 + 0.493766i \(0.164380\pi\)
\(860\) −0.646158 4.48628i −0.0220338 0.152981i
\(861\) −1.95327 + 6.65223i −0.0665673 + 0.226707i
\(862\) 20.3837 31.7262i 0.694271 1.08060i
\(863\) −0.498304 0.575073i −0.0169625 0.0195757i 0.747205 0.664594i \(-0.231395\pi\)
−0.764167 + 0.645018i \(0.776850\pi\)
\(864\) 2.34677 5.14710i 0.0798387 0.175108i
\(865\) −14.6178 + 32.0085i −0.497020 + 1.08832i
\(866\) 4.50866 15.3621i 0.153210 0.522025i
\(867\) −3.38529 11.5292i −0.114971 0.391554i
\(868\) 0.811797 + 1.77643i 0.0275542 + 0.0602959i
\(869\) 44.0840 20.1325i 1.49545 0.682948i
\(870\) 2.17291 + 4.75645i 0.0736684 + 0.161259i
\(871\) 10.3429 6.64698i 0.350456 0.225224i
\(872\) −1.96039 13.5991i −0.0663871 0.460523i
\(873\) −11.9054 −0.402936
\(874\) −8.64685 9.18010i −0.292484 0.310522i
\(875\) 15.3043i 0.517381i
\(876\) 13.7052 + 1.96706i 0.463054 + 0.0664607i
\(877\) −8.45381 13.1544i −0.285465 0.444192i 0.668674 0.743555i \(-0.266862\pi\)
−0.954139 + 0.299363i \(0.903226\pi\)
\(878\) 4.41773 2.01817i 0.149091 0.0681099i
\(879\) −14.1496 30.9833i −0.477254 1.04504i
\(880\) 42.6611 + 27.3869i 1.43811 + 0.923212i
\(881\) −6.60681 + 1.93993i −0.222589 + 0.0653580i −0.391125 0.920337i \(-0.627914\pi\)
0.168536 + 0.985695i \(0.446096\pi\)
\(882\) −1.43496 + 4.88924i −0.0483175 + 0.164629i
\(883\) −42.2286 19.2851i −1.42110 0.648997i −0.451187 0.892430i \(-0.648999\pi\)
−0.969918 + 0.243433i \(0.921726\pi\)
\(884\) −3.28611 11.1813i −0.110524 0.376067i
\(885\) −6.74352 + 5.84329i −0.226681 + 0.196420i
\(886\) −9.30353 5.97740i −0.312558 0.200815i
\(887\) −36.7135 10.7801i −1.23272 0.361959i −0.400444 0.916321i \(-0.631144\pi\)
−0.832276 + 0.554362i \(0.812962\pi\)
\(888\) 17.2301 7.87642i 0.578204 0.264315i
\(889\) −10.2191 6.56741i −0.342737 0.220264i
\(890\) 24.5319 15.7700i 0.822311 0.528611i
\(891\) −4.80349 0.690638i −0.160923 0.0231372i
\(892\) 5.10488 + 3.27893i 0.170924 + 0.109787i
\(893\) 3.77056 0.542124i 0.126177 0.0181415i
\(894\) 12.5607 + 10.8812i 0.420094 + 0.363923i
\(895\) −44.2923 + 51.1161i −1.48053 + 1.70862i
\(896\) 18.9603 8.67865i 0.633418 0.289933i
\(897\) 12.1462 + 3.02686i 0.405551 + 0.101064i
\(898\) −10.0003 34.0424i −0.333715 1.13601i
\(899\) 0.566960 + 0.491274i 0.0189092 + 0.0163849i
\(900\) −1.51169 + 3.31230i −0.0503897 + 0.110410i
\(901\) 25.9318 3.72843i 0.863912 0.124212i
\(902\) 16.9085 + 19.5086i 0.562993 + 0.649567i
\(903\) −0.227616 + 1.58310i −0.00757458 + 0.0526824i
\(904\) 45.9201 + 20.9505i 1.52728 + 0.696803i
\(905\) −3.38156 2.17320i −0.112407 0.0722396i
\(906\) −1.92481 + 13.3991i −0.0639476 + 0.445155i
\(907\) 1.32242 4.50376i 0.0439104 0.149545i −0.934620 0.355648i \(-0.884260\pi\)
0.978530 + 0.206103i \(0.0660783\pi\)
\(908\) 6.10285 20.8034i 0.202530 0.690384i
\(909\) −9.38196 + 8.12951i −0.311180 + 0.269639i
\(910\) −0.00219053 17.7676i −7.26152e−5 0.588990i
\(911\) −6.96032 + 15.2410i −0.230606 + 0.504956i −0.989194 0.146615i \(-0.953162\pi\)
0.758588 + 0.651571i \(0.225890\pi\)
\(912\) 6.25499 4.02420i 0.207123 0.133254i
\(913\) −65.6853 + 19.2870i −2.17387 + 0.638305i
\(914\) −11.5563 + 1.66300i −0.382248 + 0.0550071i
\(915\) −5.59466 + 2.55500i −0.184954 + 0.0844655i
\(916\) −24.1230 + 20.9132i −0.797048 + 0.690990i
\(917\) −10.0894 15.6995i −0.333183 0.518443i
\(918\) 1.31120 2.87207i 0.0432762 0.0947925i
\(919\) 0.481424 0.0158807 0.00794036 0.999968i \(-0.497472\pi\)
0.00794036 + 0.999968i \(0.497472\pi\)
\(920\) −6.50046 34.8240i −0.214314 1.14811i
\(921\) 12.5001 0.411893
\(922\) 3.06713 6.71826i 0.101010 0.221254i
\(923\) 16.5323 + 25.7247i 0.544166 + 0.846738i
\(924\) −11.7179 13.5164i −0.385489 0.444656i
\(925\) −11.0918 + 5.06545i −0.364696 + 0.166551i
\(926\) −3.05984 + 0.440323i −0.100552 + 0.0144699i
\(927\) 11.4389 3.35876i 0.375703 0.110316i
\(928\) 5.24124 6.05625i 0.172052 0.198806i
\(929\) −10.5387 + 23.0766i −0.345765 + 0.757119i 0.654235 + 0.756291i \(0.272991\pi\)
−1.00000 0.000827766i \(0.999737\pi\)
\(930\) 0.000241267 1.95694i 7.91145e−6 0.0641706i
\(931\) −5.06319 + 4.38728i −0.165939 + 0.143787i
\(932\) −50.2047 14.7280i −1.64451 0.482431i
\(933\) −3.96081 + 13.4893i −0.129671 + 0.441620i
\(934\) −3.43220 + 23.8924i −0.112305 + 0.781783i
\(935\) 23.8026 + 15.2970i 0.778429 + 0.500266i
\(936\) −3.06434 + 6.71653i −0.100161 + 0.219537i
\(937\) 6.27180 43.6213i 0.204891 1.42505i −0.584618 0.811308i \(-0.698756\pi\)
0.789509 0.613739i \(-0.210335\pi\)
\(938\) 8.04129 + 9.27783i 0.262557 + 0.302932i
\(939\) −23.3932 + 3.36343i −0.763407 + 0.109761i
\(940\) 9.73471 + 4.44279i 0.317511 + 0.144908i
\(941\) 13.1646 + 11.4072i 0.429153 + 0.371864i 0.842488 0.538716i \(-0.181090\pi\)
−0.413334 + 0.910579i \(0.635636\pi\)
\(942\) −8.67977 29.5471i −0.282802 0.962696i
\(943\) 1.82664 17.9476i 0.0594837 0.584454i
\(944\) 12.4344 + 5.67119i 0.404705 + 0.184582i
\(945\) 3.15211 3.63773i 0.102538 0.118335i
\(946\) 4.50139 + 3.89950i 0.146353 + 0.126784i
\(947\) 30.0813 4.32503i 0.977510 0.140545i 0.365000 0.931008i \(-0.381069\pi\)
0.612510 + 0.790463i \(0.290160\pi\)
\(948\) 10.7941 16.8051i 0.350577 0.545804i
\(949\) −17.8854 2.57154i −0.580586 0.0834757i
\(950\) −4.02690 + 2.58863i −0.130650 + 0.0839863i
\(951\) −12.1407 7.80235i −0.393689 0.253009i
\(952\) 10.5846 4.83854i 0.343048 0.156818i
\(953\) −15.4402 4.53365i −0.500157 0.146859i 0.0219166 0.999760i \(-0.493023\pi\)
−0.522074 + 0.852900i \(0.674841\pi\)
\(954\) −13.9624 8.97068i −0.452051 0.290437i
\(955\) −48.1816 + 41.7496i −1.55912 + 1.35099i
\(956\) 38.7837 11.3983i 1.25435 0.368648i
\(957\) −6.25007 2.85431i −0.202036 0.0922668i
\(958\) 4.27954 14.5814i 0.138266 0.471104i
\(959\) 15.3412 4.50459i 0.495394 0.145461i
\(960\) 20.8928 0.0154550i 0.674313 0.000498807i
\(961\) −12.7612 27.9432i −0.411653 0.901394i
\(962\) −22.4889 + 10.2737i −0.725070 + 0.331236i
\(963\) −8.71496 13.5607i −0.280836 0.436989i
\(964\) 4.17327 29.0766i 0.134412 0.936495i
\(965\) 3.21795i 0.103589i
\(966\) −1.26418 + 12.4363i −0.0406742 + 0.400132i
\(967\) 7.03317 0.226171 0.113086 0.993585i \(-0.463927\pi\)
0.113086 + 0.993585i \(0.463927\pi\)
\(968\) −35.1350 + 5.06492i −1.12928 + 0.162793i
\(969\) 3.49216 2.24428i 0.112184 0.0720965i
\(970\) −18.2711 39.9951i −0.586650 1.28416i
\(971\) −48.8709 + 22.3186i −1.56834 + 0.716238i −0.994695 0.102865i \(-0.967199\pi\)
−0.573647 + 0.819103i \(0.694472\pi\)
\(972\) −1.81906 + 0.831279i −0.0583463 + 0.0266633i
\(973\) 9.02597 + 30.7396i 0.289359 + 0.985467i
\(974\) 7.53126 25.6608i 0.241317 0.822226i
\(975\) 1.97392 4.32227i 0.0632159 0.138424i
\(976\) 7.12236 + 6.16541i 0.227981 + 0.197350i
\(977\) 22.3454 + 25.7879i 0.714891 + 0.825028i 0.990683 0.136189i \(-0.0434855\pi\)
−0.275792 + 0.961217i \(0.588940\pi\)
\(978\) −6.49621 + 10.1110i −0.207726 + 0.323316i
\(979\) −10.7958 + 36.7670i −0.345034 + 1.17508i
\(980\) −18.6272 + 2.68288i −0.595024 + 0.0857013i
\(981\) −2.62627 + 4.08656i −0.0838504 + 0.130474i
\(982\) 24.0431 15.4558i 0.767247 0.493214i
\(983\) −6.37123 + 44.3129i −0.203211 + 1.41336i 0.591467 + 0.806329i \(0.298549\pi\)
−0.794678 + 0.607032i \(0.792360\pi\)
\(984\) 10.2097 + 2.99375i 0.325474 + 0.0954371i
\(985\) 1.09942 + 7.64665i 0.0350305 + 0.243643i
\(986\) 2.92692 3.37869i 0.0932122 0.107599i
\(987\) −2.85361 2.47267i −0.0908313 0.0787058i
\(988\) −8.16444 + 5.24981i −0.259745 + 0.167019i
\(989\) −0.172131 4.15814i −0.00547344 0.132221i
\(990\) −5.05175 17.1968i −0.160555 0.546552i
\(991\) 26.1358 30.1623i 0.830230 0.958137i −0.169394 0.985548i \(-0.554181\pi\)
0.999624 + 0.0274117i \(0.00872652\pi\)
\(992\) 2.72567 1.24680i 0.0865402 0.0395861i
\(993\) 4.68708 + 32.5993i 0.148740 + 1.03451i
\(994\) −23.0757 + 20.0002i −0.731915 + 0.634366i
\(995\) 22.3282 + 3.21031i 0.707852 + 0.101774i
\(996\) −18.4706 + 21.3269i −0.585264 + 0.675768i
\(997\) −21.6014 + 33.6125i −0.684124 + 1.06452i 0.309404 + 0.950931i \(0.399870\pi\)
−0.993528 + 0.113587i \(0.963766\pi\)
\(998\) −6.11428 + 42.5630i −0.193544 + 1.34731i
\(999\) −6.42676 1.88707i −0.203334 0.0597041i
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 552.2.bb.a.85.8 yes 480
8.5 even 2 inner 552.2.bb.a.85.33 yes 480
23.13 even 11 inner 552.2.bb.a.13.33 yes 480
184.13 even 22 inner 552.2.bb.a.13.8 480
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
552.2.bb.a.13.8 480 184.13 even 22 inner
552.2.bb.a.13.33 yes 480 23.13 even 11 inner
552.2.bb.a.85.8 yes 480 1.1 even 1 trivial
552.2.bb.a.85.33 yes 480 8.5 even 2 inner