Properties

Label 525.2.bh.a.13.2
Level $525$
Weight $2$
Character 525.13
Analytic conductor $4.192$
Analytic rank $0$
Dimension $320$
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] = [525,2,Mod(13,525)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(525, base_ring=CyclotomicField(20))
 
chi = DirichletCharacter(H, H._module([0, 19, 10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("525.13");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 525 = 3 \cdot 5^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 525.bh (of order \(20\), degree \(8\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(4.19214610612\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(40\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 13.2
Character \(\chi\) \(=\) 525.13
Dual form 525.2.bh.a.202.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-2.65979 + 0.421270i) q^{2} +(0.891007 + 0.453990i) q^{3} +(4.99492 - 1.62295i) q^{4} +(-0.301881 - 2.21560i) q^{5} +(-2.56115 - 0.832167i) q^{6} +(1.22751 - 2.34376i) q^{7} +(-7.80289 + 3.97577i) q^{8} +(0.587785 + 0.809017i) q^{9} +O(q^{10})\) \(q+(-2.65979 + 0.421270i) q^{2} +(0.891007 + 0.453990i) q^{3} +(4.99492 - 1.62295i) q^{4} +(-0.301881 - 2.21560i) q^{5} +(-2.56115 - 0.832167i) q^{6} +(1.22751 - 2.34376i) q^{7} +(-7.80289 + 3.97577i) q^{8} +(0.587785 + 0.809017i) q^{9} +(1.73630 + 5.76586i) q^{10} +(2.88419 + 2.09549i) q^{11} +(5.18731 + 0.821589i) q^{12} +(0.934003 - 5.89706i) q^{13} +(-2.27757 + 6.75103i) q^{14} +(0.736882 - 2.11116i) q^{15} +(10.5813 - 7.68779i) q^{16} +(-0.635671 + 0.323890i) q^{17} +(-1.90420 - 1.90420i) q^{18} +(-1.08852 + 3.35012i) q^{19} +(-5.10367 - 10.5768i) q^{20} +(2.15777 - 1.53103i) q^{21} +(-8.55412 - 4.35854i) q^{22} +(-0.967431 - 6.10812i) q^{23} -8.75739 q^{24} +(-4.81774 + 1.33769i) q^{25} +16.0784i q^{26} +(0.156434 + 0.987688i) q^{27} +(2.32752 - 13.6991i) q^{28} +(-0.902636 + 0.293284i) q^{29} +(-1.07059 + 5.92568i) q^{30} +(-0.610193 - 0.198264i) q^{31} +(-12.5207 + 12.5207i) q^{32} +(1.61850 + 3.17649i) q^{33} +(1.55431 - 1.12927i) q^{34} +(-5.56339 - 2.01213i) q^{35} +(4.24893 + 3.08703i) q^{36} +(-1.17169 + 7.39773i) q^{37} +(1.48393 - 9.36919i) q^{38} +(3.50941 - 4.83029i) q^{39} +(11.1642 + 16.0879i) q^{40} +(-5.83596 - 8.03251i) q^{41} +(-5.09424 + 4.98122i) q^{42} +(-0.144018 - 0.144018i) q^{43} +(17.8072 + 5.78590i) q^{44} +(1.61501 - 1.54652i) q^{45} +(5.14633 + 15.8388i) q^{46} +(0.0925464 - 0.181633i) q^{47} +(12.9182 - 2.04605i) q^{48} +(-3.98643 - 5.75399i) q^{49} +(12.2507 - 5.58755i) q^{50} -0.713430 q^{51} +(-4.90536 - 30.9712i) q^{52} +(2.94211 - 5.77421i) q^{53} +(-0.832167 - 2.56115i) q^{54} +(3.77207 - 7.02279i) q^{55} +(-0.259882 + 23.1684i) q^{56} +(-2.49080 + 2.49080i) q^{57} +(2.27727 - 1.16033i) q^{58} +(11.1975 - 8.13546i) q^{59} +(0.254362 - 11.7410i) q^{60} +(6.97927 - 9.60614i) q^{61} +(1.70651 + 0.270285i) q^{62} +(2.61766 - 0.384550i) q^{63} +(12.6524 - 17.4145i) q^{64} +(-13.3475 - 0.289165i) q^{65} +(-5.64304 - 7.76698i) q^{66} +(6.05998 + 11.8934i) q^{67} +(-2.64947 + 2.64947i) q^{68} +(1.91104 - 5.88158i) q^{69} +(15.6451 + 3.00817i) q^{70} +(1.45594 + 4.48092i) q^{71} +(-7.80289 - 3.97577i) q^{72} +(-9.83237 + 1.55729i) q^{73} -20.1700i q^{74} +(-4.89993 - 0.995315i) q^{75} +18.5002i q^{76} +(8.45170 - 4.18762i) q^{77} +(-7.29946 + 14.3260i) q^{78} +(7.35558 - 2.38997i) q^{79} +(-20.2273 - 21.1232i) q^{80} +(-0.309017 + 0.951057i) q^{81} +(18.9063 + 18.9063i) q^{82} +(-1.92583 - 3.77965i) q^{83} +(8.29309 - 11.1493i) q^{84} +(0.909507 + 1.31061i) q^{85} +(0.443730 + 0.322389i) q^{86} +(-0.937403 - 0.148470i) q^{87} +(-30.8362 - 4.88398i) q^{88} +(6.27581 + 4.55964i) q^{89} +(-3.64410 + 4.79379i) q^{90} +(-12.6748 - 9.42780i) q^{91} +(-14.7454 - 28.9395i) q^{92} +(-0.453676 - 0.453676i) q^{93} +(-0.169638 + 0.522092i) q^{94} +(7.75112 + 1.40039i) q^{95} +(-16.8403 + 5.47176i) q^{96} +(0.881635 - 1.73031i) q^{97} +(13.0271 + 13.6251i) q^{98} +3.56506i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 8 q^{7} - 24 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 8 q^{7} - 24 q^{8} - 8 q^{15} + 80 q^{16} - 24 q^{22} + 36 q^{28} - 40 q^{29} - 32 q^{30} - 48 q^{32} + 28 q^{35} + 80 q^{36} - 32 q^{37} + 16 q^{42} - 144 q^{43} - 288 q^{50} + 136 q^{53} - 8 q^{57} - 32 q^{58} - 40 q^{60} - 8 q^{63} - 120 q^{64} - 40 q^{65} + 32 q^{67} - 40 q^{70} - 24 q^{72} + 24 q^{77} + 8 q^{78} + 80 q^{81} - 80 q^{84} - 48 q^{85} - 56 q^{88} + 40 q^{92} + 96 q^{93} - 88 q^{95} - 184 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(176\) \(451\)
\(\chi(n)\) \(e\left(\frac{19}{20}\right)\) \(1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.65979 + 0.421270i −1.88076 + 0.297883i −0.988214 0.153078i \(-0.951082\pi\)
−0.892544 + 0.450960i \(0.851082\pi\)
\(3\) 0.891007 + 0.453990i 0.514423 + 0.262112i
\(4\) 4.99492 1.62295i 2.49746 0.811474i
\(5\) −0.301881 2.21560i −0.135005 0.990845i
\(6\) −2.56115 0.832167i −1.04558 0.339731i
\(7\) 1.22751 2.34376i 0.463956 0.885858i
\(8\) −7.80289 + 3.97577i −2.75874 + 1.40565i
\(9\) 0.587785 + 0.809017i 0.195928 + 0.269672i
\(10\) 1.73630 + 5.76586i 0.549068 + 1.82332i
\(11\) 2.88419 + 2.09549i 0.869616 + 0.631813i 0.930484 0.366333i \(-0.119387\pi\)
−0.0608676 + 0.998146i \(0.519387\pi\)
\(12\) 5.18731 + 0.821589i 1.49745 + 0.237172i
\(13\) 0.934003 5.89706i 0.259046 1.63555i −0.424346 0.905500i \(-0.639496\pi\)
0.683392 0.730051i \(-0.260504\pi\)
\(14\) −2.27757 + 6.75103i −0.608707 + 1.80429i
\(15\) 0.736882 2.11116i 0.190262 0.545100i
\(16\) 10.5813 7.68779i 2.64534 1.92195i
\(17\) −0.635671 + 0.323890i −0.154173 + 0.0785549i −0.529375 0.848388i \(-0.677573\pi\)
0.375202 + 0.926943i \(0.377573\pi\)
\(18\) −1.90420 1.90420i −0.448825 0.448825i
\(19\) −1.08852 + 3.35012i −0.249724 + 0.768571i 0.745100 + 0.666953i \(0.232402\pi\)
−0.994824 + 0.101618i \(0.967598\pi\)
\(20\) −5.10367 10.5768i −1.14121 2.36504i
\(21\) 2.15777 1.53103i 0.470863 0.334098i
\(22\) −8.55412 4.35854i −1.82374 0.929244i
\(23\) −0.967431 6.10812i −0.201723 1.27363i −0.855842 0.517238i \(-0.826960\pi\)
0.654118 0.756392i \(-0.273040\pi\)
\(24\) −8.75739 −1.78759
\(25\) −4.81774 + 1.33769i −0.963547 + 0.267538i
\(26\) 16.0784i 3.15324i
\(27\) 0.156434 + 0.987688i 0.0301058 + 0.190081i
\(28\) 2.32752 13.6991i 0.439860 2.58888i
\(29\) −0.902636 + 0.293284i −0.167615 + 0.0544615i −0.391623 0.920126i \(-0.628086\pi\)
0.224007 + 0.974587i \(0.428086\pi\)
\(30\) −1.07059 + 5.92568i −0.195461 + 1.08188i
\(31\) −0.610193 0.198264i −0.109594 0.0356092i 0.253707 0.967281i \(-0.418350\pi\)
−0.363301 + 0.931672i \(0.618350\pi\)
\(32\) −12.5207 + 12.5207i −2.21337 + 2.21337i
\(33\) 1.61850 + 3.17649i 0.281745 + 0.552956i
\(34\) 1.55431 1.12927i 0.266561 0.193668i
\(35\) −5.56339 2.01213i −0.940385 0.340113i
\(36\) 4.24893 + 3.08703i 0.708156 + 0.514505i
\(37\) −1.17169 + 7.39773i −0.192624 + 1.21618i 0.681991 + 0.731361i \(0.261115\pi\)
−0.874615 + 0.484819i \(0.838885\pi\)
\(38\) 1.48393 9.36919i 0.240726 1.51988i
\(39\) 3.50941 4.83029i 0.561956 0.773466i
\(40\) 11.1642 + 16.0879i 1.76522 + 2.54371i
\(41\) −5.83596 8.03251i −0.911424 1.25447i −0.966678 0.255996i \(-0.917597\pi\)
0.0552535 0.998472i \(-0.482403\pi\)
\(42\) −5.09424 + 4.98122i −0.786058 + 0.768619i
\(43\) −0.144018 0.144018i −0.0219626 0.0219626i 0.696040 0.718003i \(-0.254944\pi\)
−0.718003 + 0.696040i \(0.754944\pi\)
\(44\) 17.8072 + 5.78590i 2.68453 + 0.872258i
\(45\) 1.61501 1.54652i 0.240752 0.230542i
\(46\) 5.14633 + 15.8388i 0.758785 + 2.33530i
\(47\) 0.0925464 0.181633i 0.0134993 0.0264938i −0.884158 0.467187i \(-0.845267\pi\)
0.897658 + 0.440693i \(0.145267\pi\)
\(48\) 12.9182 2.04605i 1.86459 0.295321i
\(49\) −3.98643 5.75399i −0.569490 0.821998i
\(50\) 12.2507 5.58755i 1.73250 0.790199i
\(51\) −0.713430 −0.0999001
\(52\) −4.90536 30.9712i −0.680251 4.29493i
\(53\) 2.94211 5.77421i 0.404129 0.793149i −0.595821 0.803117i \(-0.703173\pi\)
0.999950 + 0.00996867i \(0.00317318\pi\)
\(54\) −0.832167 2.56115i −0.113244 0.348528i
\(55\) 3.77207 7.02279i 0.508626 0.946953i
\(56\) −0.259882 + 23.1684i −0.0347282 + 3.09601i
\(57\) −2.49080 + 2.49080i −0.329915 + 0.329915i
\(58\) 2.27727 1.16033i 0.299021 0.152359i
\(59\) 11.1975 8.13546i 1.45779 1.05915i 0.473860 0.880600i \(-0.342860\pi\)
0.983931 0.178547i \(-0.0571396\pi\)
\(60\) 0.254362 11.7410i 0.0328380 1.51576i
\(61\) 6.97927 9.60614i 0.893604 1.22994i −0.0788601 0.996886i \(-0.525128\pi\)
0.972464 0.233054i \(-0.0748720\pi\)
\(62\) 1.70651 + 0.270285i 0.216727 + 0.0343262i
\(63\) 2.61766 0.384550i 0.329794 0.0484488i
\(64\) 12.6524 17.4145i 1.58154 2.17681i
\(65\) −13.3475 0.289165i −1.65555 0.0358665i
\(66\) −5.64304 7.76698i −0.694610 0.956049i
\(67\) 6.05998 + 11.8934i 0.740344 + 1.45301i 0.886007 + 0.463672i \(0.153469\pi\)
−0.145663 + 0.989334i \(0.546531\pi\)
\(68\) −2.64947 + 2.64947i −0.321295 + 0.321295i
\(69\) 1.91104 5.88158i 0.230062 0.708059i
\(70\) 15.6451 + 3.00817i 1.86995 + 0.359546i
\(71\) 1.45594 + 4.48092i 0.172788 + 0.531787i 0.999526 0.0308007i \(-0.00980572\pi\)
−0.826737 + 0.562588i \(0.809806\pi\)
\(72\) −7.80289 3.97577i −0.919580 0.468549i
\(73\) −9.83237 + 1.55729i −1.15079 + 0.182268i −0.702543 0.711641i \(-0.747952\pi\)
−0.448249 + 0.893909i \(0.647952\pi\)
\(74\) 20.1700i 2.34472i
\(75\) −4.89993 0.995315i −0.565796 0.114929i
\(76\) 18.5002i 2.12212i
\(77\) 8.45170 4.18762i 0.963161 0.477224i
\(78\) −7.29946 + 14.3260i −0.826501 + 1.62210i
\(79\) 7.35558 2.38997i 0.827568 0.268893i 0.135547 0.990771i \(-0.456721\pi\)
0.692020 + 0.721878i \(0.256721\pi\)
\(80\) −20.2273 21.1232i −2.26149 2.36164i
\(81\) −0.309017 + 0.951057i −0.0343352 + 0.105673i
\(82\) 18.9063 + 18.9063i 2.08785 + 2.08785i
\(83\) −1.92583 3.77965i −0.211387 0.414871i 0.760830 0.648951i \(-0.224792\pi\)
−0.972217 + 0.234081i \(0.924792\pi\)
\(84\) 8.29309 11.1493i 0.904851 1.21649i
\(85\) 0.909507 + 1.31061i 0.0986499 + 0.142156i
\(86\) 0.443730 + 0.322389i 0.0478486 + 0.0347641i
\(87\) −0.937403 0.148470i −0.100500 0.0159177i
\(88\) −30.8362 4.88398i −3.28715 0.520634i
\(89\) 6.27581 + 4.55964i 0.665234 + 0.483321i 0.868427 0.495818i \(-0.165132\pi\)
−0.203192 + 0.979139i \(0.565132\pi\)
\(90\) −3.64410 + 4.79379i −0.384122 + 0.505309i
\(91\) −12.6748 9.42780i −1.32868 0.988302i
\(92\) −14.7454 28.9395i −1.53731 3.01715i
\(93\) −0.453676 0.453676i −0.0470440 0.0470440i
\(94\) −0.169638 + 0.522092i −0.0174968 + 0.0538497i
\(95\) 7.75112 + 1.40039i 0.795248 + 0.143677i
\(96\) −16.8403 + 5.47176i −1.71876 + 0.558459i
\(97\) 0.881635 1.73031i 0.0895165 0.175686i −0.841908 0.539622i \(-0.818567\pi\)
0.931424 + 0.363936i \(0.118567\pi\)
\(98\) 13.0271 + 13.6251i 1.31593 + 1.37634i
\(99\) 3.56506i 0.358302i
\(100\) −21.8932 + 14.5006i −2.18932 + 1.45006i
\(101\) 6.42213i 0.639026i 0.947582 + 0.319513i \(0.103519\pi\)
−0.947582 + 0.319513i \(0.896481\pi\)
\(102\) 1.89758 0.300547i 0.187888 0.0297585i
\(103\) 1.83988 + 0.937468i 0.181289 + 0.0923714i 0.542280 0.840198i \(-0.317561\pi\)
−0.360991 + 0.932569i \(0.617561\pi\)
\(104\) 16.1575 + 49.7275i 1.58437 + 4.87619i
\(105\) −4.04353 4.31855i −0.394608 0.421447i
\(106\) −5.39290 + 16.5976i −0.523804 + 1.61210i
\(107\) 1.30513 1.30513i 0.126172 0.126172i −0.641201 0.767373i \(-0.721564\pi\)
0.767373 + 0.641201i \(0.221564\pi\)
\(108\) 2.38434 + 4.67954i 0.229434 + 0.450289i
\(109\) −2.93122 4.03447i −0.280759 0.386432i 0.645226 0.763992i \(-0.276763\pi\)
−0.925985 + 0.377560i \(0.876763\pi\)
\(110\) −7.07445 + 20.2682i −0.674522 + 1.93250i
\(111\) −4.40248 + 6.05949i −0.417865 + 0.575142i
\(112\) −5.02963 34.2370i −0.475255 3.23509i
\(113\) 14.4782 + 2.29313i 1.36200 + 0.215719i 0.794304 0.607520i \(-0.207836\pi\)
0.567694 + 0.823240i \(0.307836\pi\)
\(114\) 5.57572 7.67432i 0.522214 0.718766i
\(115\) −13.2411 + 3.98736i −1.23474 + 0.371823i
\(116\) −4.03261 + 2.92986i −0.374418 + 0.272031i
\(117\) 5.31982 2.71058i 0.491817 0.250593i
\(118\) −26.3558 + 26.3558i −2.42625 + 2.42625i
\(119\) −0.0211716 + 1.88744i −0.00194079 + 0.173021i
\(120\) 2.64369 + 19.4028i 0.241334 + 1.77123i
\(121\) 0.528304 + 1.62595i 0.0480277 + 0.147814i
\(122\) −14.5166 + 28.4905i −1.31427 + 2.57941i
\(123\) −1.55320 9.80650i −0.140047 0.884222i
\(124\) −3.36964 −0.302602
\(125\) 4.41816 + 10.2703i 0.395173 + 0.918607i
\(126\) −6.80042 + 2.12556i −0.605830 + 0.189360i
\(127\) 1.49911 0.237436i 0.133024 0.0210690i −0.0895671 0.995981i \(-0.528548\pi\)
0.222592 + 0.974912i \(0.428548\pi\)
\(128\) −10.2389 + 20.0949i −0.904996 + 1.77615i
\(129\) −0.0629384 0.193704i −0.00554141 0.0170547i
\(130\) 35.6233 4.85377i 3.12437 0.425704i
\(131\) −2.59392 0.842814i −0.226632 0.0736370i 0.193500 0.981100i \(-0.438016\pi\)
−0.420131 + 0.907463i \(0.638016\pi\)
\(132\) 13.2396 + 13.2396i 1.15236 + 1.15236i
\(133\) 6.51571 + 6.66354i 0.564984 + 0.577803i
\(134\) −21.1286 29.0810i −1.82523 2.51222i
\(135\) 2.14109 0.644760i 0.184276 0.0554921i
\(136\) 3.67235 5.05456i 0.314902 0.433425i
\(137\) −2.24329 + 14.1636i −0.191657 + 1.21008i 0.684849 + 0.728685i \(0.259868\pi\)
−0.876506 + 0.481391i \(0.840132\pi\)
\(138\) −2.60524 + 16.4488i −0.221773 + 1.40022i
\(139\) −7.04319 5.11718i −0.597396 0.434033i 0.247558 0.968873i \(-0.420372\pi\)
−0.844954 + 0.534840i \(0.820372\pi\)
\(140\) −31.0543 1.02136i −2.62457 0.0863207i
\(141\) 0.164919 0.119821i 0.0138887 0.0100907i
\(142\) −5.76017 11.3050i −0.483383 0.948693i
\(143\) 15.0511 15.0511i 1.25863 1.25863i
\(144\) 12.4391 + 4.04171i 1.03659 + 0.336809i
\(145\) 0.922288 + 1.91134i 0.0765918 + 0.158728i
\(146\) 25.4960 8.28417i 2.11007 0.685603i
\(147\) −0.939679 6.93664i −0.0775035 0.572125i
\(148\) 6.15366 + 38.8527i 0.505828 + 3.19367i
\(149\) 5.21840i 0.427508i 0.976887 + 0.213754i \(0.0685692\pi\)
−0.976887 + 0.213754i \(0.931431\pi\)
\(150\) 13.4521 + 0.583138i 1.09836 + 0.0476130i
\(151\) −5.23743 −0.426216 −0.213108 0.977029i \(-0.568359\pi\)
−0.213108 + 0.977029i \(0.568359\pi\)
\(152\) −4.82571 30.4683i −0.391417 2.47131i
\(153\) −0.635671 0.323890i −0.0513909 0.0261850i
\(154\) −20.7157 + 14.6987i −1.66932 + 1.18445i
\(155\) −0.255067 + 1.41179i −0.0204875 + 0.113398i
\(156\) 9.68993 29.8225i 0.775815 2.38771i
\(157\) −7.21390 7.21390i −0.575732 0.575732i 0.357993 0.933724i \(-0.383461\pi\)
−0.933724 + 0.357993i \(0.883461\pi\)
\(158\) −18.5575 + 9.45552i −1.47636 + 0.752241i
\(159\) 5.24287 3.80917i 0.415787 0.302087i
\(160\) 31.5206 + 23.9611i 2.49193 + 1.89429i
\(161\) −15.5035 5.23036i −1.22185 0.412210i
\(162\) 0.421270 2.65979i 0.0330981 0.208973i
\(163\) −7.64463 1.21079i −0.598773 0.0948364i −0.150312 0.988639i \(-0.548028\pi\)
−0.448461 + 0.893802i \(0.648028\pi\)
\(164\) −42.1865 30.6503i −3.29421 2.39339i
\(165\) 6.54922 4.54487i 0.509856 0.353817i
\(166\) 6.71456 + 9.24180i 0.521151 + 0.717303i
\(167\) −22.3942 + 11.4104i −1.73292 + 0.882965i −0.760625 + 0.649191i \(0.775107\pi\)
−0.972291 + 0.233774i \(0.924893\pi\)
\(168\) −10.7498 + 20.5252i −0.829365 + 1.58356i
\(169\) −21.5393 6.99853i −1.65687 0.538349i
\(170\) −2.97122 3.10281i −0.227882 0.237975i
\(171\) −3.35012 + 1.08852i −0.256190 + 0.0832412i
\(172\) −0.953095 0.485626i −0.0726728 0.0370287i
\(173\) 5.85870 0.927927i 0.445429 0.0705490i 0.0703089 0.997525i \(-0.477601\pi\)
0.375120 + 0.926976i \(0.377601\pi\)
\(174\) 2.55584 0.193758
\(175\) −2.77860 + 12.9337i −0.210042 + 0.977692i
\(176\) 46.6283 3.51474
\(177\) 13.6705 2.16519i 1.02754 0.162746i
\(178\) −18.6132 9.48390i −1.39512 0.710848i
\(179\) −13.5168 + 4.39187i −1.01029 + 0.328264i −0.766971 0.641682i \(-0.778237\pi\)
−0.243322 + 0.969946i \(0.578237\pi\)
\(180\) 5.55694 10.3458i 0.414190 0.771133i
\(181\) 4.17580 + 1.35680i 0.310384 + 0.100850i 0.460067 0.887884i \(-0.347825\pi\)
−0.149683 + 0.988734i \(0.547825\pi\)
\(182\) 37.6840 + 19.7365i 2.79333 + 1.46296i
\(183\) 10.5797 5.39061i 0.782072 0.398485i
\(184\) 31.8332 + 43.8147i 2.34678 + 3.23006i
\(185\) 16.7441 + 0.362751i 1.23105 + 0.0266700i
\(186\) 1.39780 + 1.01556i 0.102492 + 0.0744648i
\(187\) −2.51210 0.397878i −0.183703 0.0290957i
\(188\) 0.167482 1.05744i 0.0122149 0.0771216i
\(189\) 2.50693 + 0.845754i 0.182352 + 0.0615196i
\(190\) −21.2063 0.459423i −1.53847 0.0333300i
\(191\) 5.64418 4.10073i 0.408398 0.296719i −0.364555 0.931182i \(-0.618779\pi\)
0.772953 + 0.634463i \(0.218779\pi\)
\(192\) 19.1793 9.77236i 1.38415 0.705259i
\(193\) −1.86859 1.86859i −0.134504 0.134504i 0.636649 0.771153i \(-0.280320\pi\)
−0.771153 + 0.636649i \(0.780320\pi\)
\(194\) −1.61604 + 4.97366i −0.116025 + 0.357088i
\(195\) −11.7614 6.31727i −0.842252 0.452389i
\(196\) −29.2503 22.2709i −2.08931 1.59078i
\(197\) 0.583195 + 0.297153i 0.0415509 + 0.0211713i 0.474643 0.880179i \(-0.342577\pi\)
−0.433092 + 0.901350i \(0.642577\pi\)
\(198\) −1.50185 9.48232i −0.106732 0.673879i
\(199\) 19.7941 1.40317 0.701585 0.712586i \(-0.252476\pi\)
0.701585 + 0.712586i \(0.252476\pi\)
\(200\) 32.2739 29.5921i 2.28211 2.09248i
\(201\) 13.3482i 0.941513i
\(202\) −2.70545 17.0815i −0.190355 1.20185i
\(203\) −0.420608 + 2.47557i −0.0295209 + 0.173751i
\(204\) −3.56353 + 1.15786i −0.249497 + 0.0810664i
\(205\) −16.0350 + 15.3550i −1.11994 + 1.07244i
\(206\) −5.28864 1.71838i −0.368477 0.119725i
\(207\) 4.37293 4.37293i 0.303940 0.303940i
\(208\) −35.4524 69.5793i −2.45818 4.82445i
\(209\) −10.1596 + 7.38141i −0.702757 + 0.510583i
\(210\) 12.5742 + 9.78304i 0.867704 + 0.675094i
\(211\) 15.7409 + 11.4364i 1.08365 + 0.787316i 0.978315 0.207121i \(-0.0664094\pi\)
0.105332 + 0.994437i \(0.466409\pi\)
\(212\) 5.32435 33.6166i 0.365678 2.30880i
\(213\) −0.737044 + 4.65351i −0.0505014 + 0.318853i
\(214\) −2.92156 + 4.02119i −0.199714 + 0.274883i
\(215\) −0.275610 + 0.362563i −0.0187965 + 0.0247266i
\(216\) −5.14746 7.08488i −0.350241 0.482065i
\(217\) −1.21370 + 1.18678i −0.0823914 + 0.0805635i
\(218\) 9.49603 + 9.49603i 0.643152 + 0.643152i
\(219\) −9.46771 3.07624i −0.639768 0.207873i
\(220\) 7.44359 41.2002i 0.501846 2.77771i
\(221\) 1.31628 + 4.05110i 0.0885428 + 0.272507i
\(222\) 9.15701 17.9716i 0.614578 1.20618i
\(223\) 10.4108 1.64891i 0.697158 0.110419i 0.202211 0.979342i \(-0.435187\pi\)
0.494947 + 0.868923i \(0.335187\pi\)
\(224\) 13.9763 + 44.7149i 0.933828 + 2.98764i
\(225\) −3.91401 3.11136i −0.260934 0.207424i
\(226\) −39.4752 −2.62585
\(227\) 2.00907 + 12.6847i 0.133346 + 0.841916i 0.960162 + 0.279443i \(0.0901499\pi\)
−0.826816 + 0.562473i \(0.809850\pi\)
\(228\) −8.39892 + 16.4838i −0.556232 + 1.09167i
\(229\) 3.99133 + 12.2841i 0.263755 + 0.811754i 0.991978 + 0.126413i \(0.0403466\pi\)
−0.728223 + 0.685340i \(0.759653\pi\)
\(230\) 33.5388 16.1836i 2.21148 1.06712i
\(231\) 9.43166 + 0.105796i 0.620558 + 0.00696085i
\(232\) 5.87714 5.87714i 0.385853 0.385853i
\(233\) 2.10311 1.07159i 0.137779 0.0702020i −0.383742 0.923440i \(-0.625365\pi\)
0.521521 + 0.853238i \(0.325365\pi\)
\(234\) −13.0077 + 9.45067i −0.850342 + 0.617810i
\(235\) −0.430362 0.150214i −0.0280737 0.00979889i
\(236\) 42.7272 58.8090i 2.78131 3.82814i
\(237\) 7.63890 + 1.20988i 0.496200 + 0.0785903i
\(238\) −0.738809 5.02912i −0.0478899 0.325989i
\(239\) 17.5504 24.1561i 1.13524 1.56253i 0.357536 0.933899i \(-0.383617\pi\)
0.777706 0.628628i \(-0.216383\pi\)
\(240\) −8.43298 28.0039i −0.544346 1.80765i
\(241\) 14.3947 + 19.8126i 0.927242 + 1.27624i 0.960926 + 0.276806i \(0.0892760\pi\)
−0.0336841 + 0.999433i \(0.510724\pi\)
\(242\) −2.09015 4.10214i −0.134360 0.263696i
\(243\) −0.707107 + 0.707107i −0.0453609 + 0.0453609i
\(244\) 19.2706 59.3089i 1.23368 3.79686i
\(245\) −11.5451 + 10.5693i −0.737589 + 0.675250i
\(246\) 8.26236 + 25.4289i 0.526789 + 1.62129i
\(247\) 18.7392 + 9.54810i 1.19235 + 0.607531i
\(248\) 5.54952 0.878958i 0.352395 0.0558139i
\(249\) 4.24200i 0.268826i
\(250\) −16.0780 25.4557i −1.01686 1.60996i
\(251\) 26.4097i 1.66697i −0.552544 0.833484i \(-0.686343\pi\)
0.552544 0.833484i \(-0.313657\pi\)
\(252\) 12.4509 6.16912i 0.784332 0.388618i
\(253\) 10.0092 19.6442i 0.629275 1.23502i
\(254\) −3.88730 + 1.26306i −0.243911 + 0.0792514i
\(255\) 0.215371 + 1.58067i 0.0134870 + 0.0989856i
\(256\) 5.46441 16.8177i 0.341525 1.05111i
\(257\) 13.7974 + 13.7974i 0.860658 + 0.860658i 0.991415 0.130757i \(-0.0417406\pi\)
−0.130757 + 0.991415i \(0.541741\pi\)
\(258\) 0.249005 + 0.488700i 0.0155024 + 0.0304251i
\(259\) 15.9003 + 11.8270i 0.987994 + 0.734891i
\(260\) −67.1389 + 20.2179i −4.16378 + 1.25386i
\(261\) −0.767828 0.557860i −0.0475274 0.0345306i
\(262\) 7.25433 + 1.14897i 0.448174 + 0.0709838i
\(263\) 6.68590 + 1.05894i 0.412270 + 0.0652972i 0.359125 0.933290i \(-0.383075\pi\)
0.0531455 + 0.998587i \(0.483075\pi\)
\(264\) −25.2580 18.3510i −1.55452 1.12943i
\(265\) −13.6815 4.77540i −0.840447 0.293350i
\(266\) −20.1376 14.9788i −1.23472 0.918408i
\(267\) 3.52175 + 6.91183i 0.215528 + 0.422997i
\(268\) 49.5714 + 49.5714i 3.02806 + 3.02806i
\(269\) −5.64367 + 17.3694i −0.344100 + 1.05903i 0.617963 + 0.786207i \(0.287958\pi\)
−0.962064 + 0.272825i \(0.912042\pi\)
\(270\) −5.42325 + 2.61691i −0.330049 + 0.159260i
\(271\) −13.5681 + 4.40854i −0.824204 + 0.267800i −0.690602 0.723235i \(-0.742654\pi\)
−0.133602 + 0.991035i \(0.542654\pi\)
\(272\) −4.23624 + 8.31410i −0.256860 + 0.504116i
\(273\) −7.01321 14.1545i −0.424459 0.856668i
\(274\) 38.6172i 2.33295i
\(275\) −16.6984 6.23735i −1.00695 0.376126i
\(276\) 32.4795i 1.95504i
\(277\) 1.08945 0.172552i 0.0654589 0.0103677i −0.123619 0.992330i \(-0.539450\pi\)
0.189078 + 0.981962i \(0.439450\pi\)
\(278\) 20.8892 + 10.6436i 1.25285 + 0.638358i
\(279\) −0.198264 0.610193i −0.0118697 0.0365313i
\(280\) 51.4103 6.41830i 3.07235 0.383567i
\(281\) −5.32860 + 16.3998i −0.317878 + 0.978328i 0.656676 + 0.754173i \(0.271962\pi\)
−0.974554 + 0.224154i \(0.928038\pi\)
\(282\) −0.388173 + 0.388173i −0.0231154 + 0.0231154i
\(283\) 7.35468 + 14.4344i 0.437190 + 0.858034i 0.999516 + 0.0311180i \(0.00990677\pi\)
−0.562326 + 0.826916i \(0.690093\pi\)
\(284\) 14.5446 + 20.0189i 0.863063 + 1.18790i
\(285\) 6.27054 + 4.76669i 0.371435 + 0.282354i
\(286\) −33.6922 + 46.3733i −1.99226 + 2.74211i
\(287\) −25.9900 + 3.81810i −1.53414 + 0.225375i
\(288\) −17.4890 2.76998i −1.03055 0.163223i
\(289\) −9.69318 + 13.3415i −0.570187 + 0.784795i
\(290\) −3.25829 4.69524i −0.191333 0.275714i
\(291\) 1.57109 1.14146i 0.0920987 0.0669136i
\(292\) −46.5845 + 23.7360i −2.72615 + 1.38904i
\(293\) −3.95565 + 3.95565i −0.231091 + 0.231091i −0.813148 0.582057i \(-0.802248\pi\)
0.582057 + 0.813148i \(0.302248\pi\)
\(294\) 5.42155 + 18.0542i 0.316191 + 1.05294i
\(295\) −21.4052 22.3532i −1.24626 1.30145i
\(296\) −20.2692 62.3821i −1.17812 3.62588i
\(297\) −1.61850 + 3.17649i −0.0939150 + 0.184319i
\(298\) −2.19836 13.8799i −0.127347 0.804040i
\(299\) −36.9235 −2.13534
\(300\) −26.0901 + 2.98082i −1.50631 + 0.172098i
\(301\) −0.514329 + 0.160760i −0.0296454 + 0.00926608i
\(302\) 13.9305 2.20637i 0.801610 0.126962i
\(303\) −2.91559 + 5.72216i −0.167496 + 0.328729i
\(304\) 14.2370 + 43.8171i 0.816550 + 2.51308i
\(305\) −23.3902 12.5633i −1.33932 0.719375i
\(306\) 1.82720 + 0.593693i 0.104454 + 0.0339391i
\(307\) 2.80861 + 2.80861i 0.160296 + 0.160296i 0.782698 0.622402i \(-0.213843\pi\)
−0.622402 + 0.782698i \(0.713843\pi\)
\(308\) 35.4193 34.6335i 2.01820 1.97343i
\(309\) 1.21375 + 1.67058i 0.0690477 + 0.0950359i
\(310\) 0.0836795 3.86253i 0.00475268 0.219377i
\(311\) −13.2316 + 18.2118i −0.750296 + 1.03269i 0.247663 + 0.968846i \(0.420337\pi\)
−0.997960 + 0.0638481i \(0.979663\pi\)
\(312\) −8.17943 + 51.6429i −0.463069 + 2.92370i
\(313\) −0.577758 + 3.64782i −0.0326568 + 0.206187i −0.998622 0.0524864i \(-0.983285\pi\)
0.965965 + 0.258674i \(0.0832854\pi\)
\(314\) 22.2265 + 16.1485i 1.25431 + 0.911312i
\(315\) −1.64223 5.68358i −0.0925290 0.320233i
\(316\) 32.8617 23.8755i 1.84862 1.34310i
\(317\) 6.66191 + 13.0747i 0.374170 + 0.734350i 0.998919 0.0464754i \(-0.0147989\pi\)
−0.624750 + 0.780825i \(0.714799\pi\)
\(318\) −12.3403 + 12.3403i −0.692008 + 0.692008i
\(319\) −3.21795 1.04557i −0.180171 0.0585410i
\(320\) −42.4030 22.7754i −2.37040 1.27319i
\(321\) 1.75539 0.570362i 0.0979766 0.0318345i
\(322\) 43.4395 + 7.38052i 2.42079 + 0.411300i
\(323\) −0.393132 2.48213i −0.0218744 0.138110i
\(324\) 5.25197i 0.291776i
\(325\) 3.38867 + 29.6599i 0.187970 + 1.64524i
\(326\) 20.8432 1.15440
\(327\) −0.780120 4.92548i −0.0431407 0.272380i
\(328\) 77.4728 + 39.4744i 4.27772 + 2.17961i
\(329\) −0.312101 0.439863i −0.0172067 0.0242504i
\(330\) −15.5050 + 14.8474i −0.853520 + 0.817322i
\(331\) −0.851771 + 2.62148i −0.0468176 + 0.144090i −0.971733 0.236084i \(-0.924136\pi\)
0.924915 + 0.380174i \(0.124136\pi\)
\(332\) −15.7535 15.7535i −0.864588 0.864588i
\(333\) −6.67359 + 3.40037i −0.365711 + 0.186339i
\(334\) 54.7571 39.7834i 2.99618 2.17685i
\(335\) 24.5215 17.0168i 1.33975 0.929729i
\(336\) 11.0618 32.7888i 0.603472 1.78877i
\(337\) 0.607099 3.83307i 0.0330708 0.208801i −0.965620 0.259958i \(-0.916291\pi\)
0.998691 + 0.0511578i \(0.0162911\pi\)
\(338\) 60.2383 + 9.54081i 3.27653 + 0.518952i
\(339\) 11.8591 + 8.61618i 0.644101 + 0.467966i
\(340\) 6.66997 + 5.07033i 0.361730 + 0.274977i
\(341\) −1.34445 1.85048i −0.0728063 0.100209i
\(342\) 8.45207 4.30655i 0.457036 0.232871i
\(343\) −18.3794 + 2.28015i −0.992392 + 0.123117i
\(344\) 1.69634 + 0.551176i 0.0914608 + 0.0297174i
\(345\) −13.6081 2.45856i −0.732636 0.132364i
\(346\) −15.1920 + 4.93619i −0.816729 + 0.265371i
\(347\) −5.88741 2.99979i −0.316053 0.161037i 0.288767 0.957399i \(-0.406755\pi\)
−0.604820 + 0.796362i \(0.706755\pi\)
\(348\) −4.92321 + 0.779760i −0.263912 + 0.0417995i
\(349\) −25.6042 −1.37056 −0.685280 0.728279i \(-0.740320\pi\)
−0.685280 + 0.728279i \(0.740320\pi\)
\(350\) 1.94194 35.5714i 0.103801 1.90137i
\(351\) 5.97057 0.318686
\(352\) −62.3492 + 9.87514i −3.32322 + 0.526347i
\(353\) 17.0664 + 8.69577i 0.908353 + 0.462829i 0.844759 0.535147i \(-0.179744\pi\)
0.0635939 + 0.997976i \(0.479744\pi\)
\(354\) −35.4485 + 11.5179i −1.88407 + 0.612171i
\(355\) 9.48839 4.57848i 0.503592 0.243000i
\(356\) 38.7472 + 12.5897i 2.05360 + 0.667255i
\(357\) −0.875743 + 1.67211i −0.0463493 + 0.0884974i
\(358\) 34.1017 17.3757i 1.80233 0.918334i
\(359\) −3.76964 5.18846i −0.198954 0.273837i 0.697870 0.716225i \(-0.254131\pi\)
−0.896824 + 0.442388i \(0.854131\pi\)
\(360\) −6.45316 + 18.4883i −0.340112 + 0.974417i
\(361\) 5.33289 + 3.87457i 0.280678 + 0.203925i
\(362\) −11.6783 1.84967i −0.613800 0.0972163i
\(363\) −0.267445 + 1.68858i −0.0140372 + 0.0886275i
\(364\) −78.6105 26.5205i −4.12031 1.39005i
\(365\) 6.41854 + 21.3145i 0.335962 + 1.11565i
\(366\) −25.8688 + 18.7948i −1.35219 + 0.982420i
\(367\) 28.3521 14.4461i 1.47997 0.754082i 0.487106 0.873343i \(-0.338052\pi\)
0.992863 + 0.119261i \(0.0380524\pi\)
\(368\) −57.1947 57.1947i −2.98148 2.98148i
\(369\) 3.06815 9.44279i 0.159721 0.491572i
\(370\) −44.6887 + 6.08894i −2.32325 + 0.316549i
\(371\) −9.92190 13.9835i −0.515119 0.725987i
\(372\) −3.00237 1.52978i −0.155666 0.0793156i
\(373\) −0.614114 3.87736i −0.0317976 0.200762i 0.966675 0.256006i \(-0.0824065\pi\)
−0.998473 + 0.0552434i \(0.982407\pi\)
\(374\) 6.84929 0.354168
\(375\) −0.726022 + 11.1567i −0.0374916 + 0.576132i
\(376\) 1.78520i 0.0920648i
\(377\) 0.886451 + 5.59683i 0.0456545 + 0.288251i
\(378\) −7.02421 1.19344i −0.361286 0.0613838i
\(379\) 31.4011 10.2028i 1.61297 0.524085i 0.642699 0.766119i \(-0.277815\pi\)
0.970268 + 0.242034i \(0.0778147\pi\)
\(380\) 40.9890 5.58485i 2.10269 0.286497i
\(381\) 1.44351 + 0.469025i 0.0739533 + 0.0240289i
\(382\) −13.2848 + 13.2848i −0.679711 + 0.679711i
\(383\) 3.38093 + 6.63544i 0.172757 + 0.339055i 0.961109 0.276170i \(-0.0890652\pi\)
−0.788352 + 0.615225i \(0.789065\pi\)
\(384\) −18.2458 + 13.2563i −0.931101 + 0.676485i
\(385\) −11.8295 17.4614i −0.602886 0.889915i
\(386\) 5.75724 + 4.18288i 0.293036 + 0.212903i
\(387\) 0.0318615 0.201165i 0.00161961 0.0102258i
\(388\) 1.59550 10.0736i 0.0809993 0.511409i
\(389\) 0.285958 0.393587i 0.0144986 0.0199556i −0.801706 0.597718i \(-0.796074\pi\)
0.816205 + 0.577763i \(0.196074\pi\)
\(390\) 33.9442 + 11.8479i 1.71883 + 0.599943i
\(391\) 2.59333 + 3.56941i 0.131150 + 0.180513i
\(392\) 53.9822 + 29.0486i 2.72651 + 1.46718i
\(393\) −1.92857 1.92857i −0.0972833 0.0972833i
\(394\) −1.67636 0.544682i −0.0844538 0.0274407i
\(395\) −7.51572 15.5755i −0.378157 0.783689i
\(396\) 5.78590 + 17.8072i 0.290753 + 0.894844i
\(397\) −12.6598 + 24.8462i −0.635376 + 1.24700i 0.318821 + 0.947815i \(0.396713\pi\)
−0.954197 + 0.299180i \(0.903287\pi\)
\(398\) −52.6483 + 8.33868i −2.63902 + 0.417980i
\(399\) 2.78036 + 8.89533i 0.139192 + 0.445324i
\(400\) −40.6942 + 51.1923i −2.03471 + 2.55962i
\(401\) 27.3595 1.36627 0.683134 0.730293i \(-0.260616\pi\)
0.683134 + 0.730293i \(0.260616\pi\)
\(402\) −5.62321 35.5036i −0.280460 1.77076i
\(403\) −1.73910 + 3.41317i −0.0866305 + 0.170022i
\(404\) 10.4228 + 32.0780i 0.518553 + 1.59594i
\(405\) 2.20044 + 0.397552i 0.109341 + 0.0197545i
\(406\) 0.0758466 6.76170i 0.00376420 0.335578i
\(407\) −18.8812 + 18.8812i −0.935908 + 0.935908i
\(408\) 5.56681 2.83643i 0.275598 0.140424i
\(409\) 1.56310 1.13566i 0.0772905 0.0561549i −0.548469 0.836171i \(-0.684789\pi\)
0.625760 + 0.780016i \(0.284789\pi\)
\(410\) 36.1813 47.5962i 1.78687 2.35061i
\(411\) −8.42892 + 11.6014i −0.415768 + 0.572255i
\(412\) 10.7115 + 1.69654i 0.527719 + 0.0835826i
\(413\) −5.32251 36.2307i −0.261904 1.78279i
\(414\) −9.78890 + 13.4733i −0.481098 + 0.662175i
\(415\) −7.79281 + 5.40786i −0.382534 + 0.265461i
\(416\) 62.1411 + 85.5299i 3.04672 + 4.19345i
\(417\) −3.95238 7.75698i −0.193549 0.379861i
\(418\) 23.9130 23.9130i 1.16962 1.16962i
\(419\) 2.17623 6.69775i 0.106316 0.327206i −0.883721 0.468014i \(-0.844970\pi\)
0.990037 + 0.140807i \(0.0449698\pi\)
\(420\) −27.2059 15.0084i −1.32751 0.732334i
\(421\) −8.14727 25.0747i −0.397074 1.22207i −0.927335 0.374233i \(-0.877906\pi\)
0.530261 0.847834i \(-0.322094\pi\)
\(422\) −46.6853 23.7874i −2.27261 1.15795i
\(423\) 0.201341 0.0318893i 0.00978955 0.00155051i
\(424\) 56.7527i 2.75615i
\(425\) 2.62923 2.41075i 0.127536 0.116939i
\(426\) 12.6879i 0.614730i
\(427\) −13.9474 28.1494i −0.674960 1.36224i
\(428\) 4.40086 8.63717i 0.212724 0.417494i
\(429\) 20.2436 6.57756i 0.977372 0.317568i
\(430\) 0.580330 1.08045i 0.0279860 0.0521039i
\(431\) −6.51175 + 20.0411i −0.313660 + 0.965347i 0.662642 + 0.748936i \(0.269435\pi\)
−0.976302 + 0.216411i \(0.930565\pi\)
\(432\) 9.24843 + 9.24843i 0.444965 + 0.444965i
\(433\) 13.1016 + 25.7134i 0.629624 + 1.23571i 0.956801 + 0.290744i \(0.0939028\pi\)
−0.327177 + 0.944963i \(0.606097\pi\)
\(434\) 2.72824 3.66787i 0.130960 0.176064i
\(435\) −0.0459660 + 2.12173i −0.00220390 + 0.101729i
\(436\) −21.1889 15.3947i −1.01477 0.737270i
\(437\) 21.5160 + 3.40780i 1.02925 + 0.163017i
\(438\) 26.4781 + 4.19371i 1.26517 + 0.200383i
\(439\) 19.6352 + 14.2658i 0.937137 + 0.680870i 0.947730 0.319074i \(-0.103372\pi\)
−0.0105930 + 0.999944i \(0.503372\pi\)
\(440\) −1.51207 + 69.7950i −0.0720850 + 3.32735i
\(441\) 2.31191 6.60720i 0.110091 0.314629i
\(442\) −5.20765 10.2206i −0.247703 0.486144i
\(443\) −5.01179 5.01179i −0.238117 0.238117i 0.577953 0.816070i \(-0.303852\pi\)
−0.816070 + 0.577953i \(0.803852\pi\)
\(444\) −12.1558 + 37.4117i −0.576889 + 1.77548i
\(445\) 8.20778 15.2811i 0.389086 0.724395i
\(446\) −26.9959 + 8.77151i −1.27829 + 0.415343i
\(447\) −2.36911 + 4.64963i −0.112055 + 0.219920i
\(448\) −25.2844 51.0306i −1.19458 2.41097i
\(449\) 34.1734i 1.61274i 0.591410 + 0.806371i \(0.298572\pi\)
−0.591410 + 0.806371i \(0.701428\pi\)
\(450\) 11.7212 + 6.62671i 0.552542 + 0.312386i
\(451\) 35.3965i 1.66676i
\(452\) 76.0393 12.0434i 3.57659 0.566476i
\(453\) −4.66659 2.37774i −0.219255 0.111716i
\(454\) −10.6874 32.8924i −0.501585 1.54372i
\(455\) −17.0619 + 30.9283i −0.799875 + 1.44994i
\(456\) 9.53260 29.3383i 0.446405 1.37389i
\(457\) 14.7824 14.7824i 0.691491 0.691491i −0.271069 0.962560i \(-0.587377\pi\)
0.962560 + 0.271069i \(0.0873772\pi\)
\(458\) −15.7910 30.9916i −0.737866 1.44814i
\(459\) −0.419343 0.577177i −0.0195733 0.0269403i
\(460\) −59.6668 + 41.4061i −2.78198 + 1.93057i
\(461\) −3.31995 + 4.56952i −0.154625 + 0.212824i −0.879301 0.476267i \(-0.841990\pi\)
0.724675 + 0.689090i \(0.241990\pi\)
\(462\) −25.1308 + 3.69188i −1.16919 + 0.171762i
\(463\) −25.1994 3.99119i −1.17112 0.185486i −0.459580 0.888137i \(-0.652000\pi\)
−0.711535 + 0.702650i \(0.752000\pi\)
\(464\) −7.29639 + 10.0426i −0.338726 + 0.466217i
\(465\) −0.868207 + 1.14212i −0.0402621 + 0.0529645i
\(466\) −5.14240 + 3.73618i −0.238217 + 0.173075i
\(467\) 17.1018 8.71383i 0.791379 0.403228i −0.0110772 0.999939i \(-0.503526\pi\)
0.802456 + 0.596711i \(0.203526\pi\)
\(468\) 22.1729 22.1729i 1.02494 1.02494i
\(469\) 35.3139 + 0.396119i 1.63064 + 0.0182911i
\(470\) 1.20796 + 0.218240i 0.0557189 + 0.0100667i
\(471\) −3.15259 9.70267i −0.145264 0.447076i
\(472\) −55.0282 + 107.999i −2.53288 + 4.97105i
\(473\) −0.113588 0.717166i −0.00522278 0.0329753i
\(474\) −20.8276 −0.956642
\(475\) 0.762777 17.5961i 0.0349986 0.807365i
\(476\) 2.95747 + 9.46197i 0.135555 + 0.433689i
\(477\) 6.40076 1.01378i 0.293071 0.0464178i
\(478\) −36.5043 + 71.6437i −1.66967 + 3.27691i
\(479\) 0.792531 + 2.43916i 0.0362117 + 0.111448i 0.967528 0.252762i \(-0.0813390\pi\)
−0.931317 + 0.364210i \(0.881339\pi\)
\(480\) 17.2070 + 35.6596i 0.785388 + 1.62763i
\(481\) 42.5306 + 13.8190i 1.93923 + 0.630093i
\(482\) −46.6333 46.6333i −2.12409 2.12409i
\(483\) −11.4392 11.6987i −0.520501 0.532310i
\(484\) 5.27768 + 7.26410i 0.239894 + 0.330186i
\(485\) −4.09981 1.43100i −0.186163 0.0649785i
\(486\) 1.58288 2.17864i 0.0718007 0.0988252i
\(487\) 1.24881 7.88465i 0.0565888 0.357288i −0.943104 0.332498i \(-0.892108\pi\)
0.999693 0.0247895i \(-0.00789155\pi\)
\(488\) −16.2667 + 102.704i −0.736357 + 4.64917i
\(489\) −6.26173 4.54941i −0.283165 0.205731i
\(490\) 26.2550 32.9759i 1.18608 1.48970i
\(491\) 17.5786 12.7716i 0.793311 0.576374i −0.115633 0.993292i \(-0.536890\pi\)
0.908944 + 0.416918i \(0.136890\pi\)
\(492\) −23.6735 46.4619i −1.06729 2.09466i
\(493\) 0.478787 0.478787i 0.0215635 0.0215635i
\(494\) −53.8647 17.5017i −2.42349 0.787439i
\(495\) 7.89873 1.07622i 0.355021 0.0483725i
\(496\) −7.98087 + 2.59314i −0.358352 + 0.116435i
\(497\) 12.2894 + 2.08801i 0.551254 + 0.0936600i
\(498\) 1.78703 + 11.2828i 0.0800786 + 0.505596i
\(499\) 41.9491i 1.87790i −0.344056 0.938949i \(-0.611801\pi\)
0.344056 0.938949i \(-0.388199\pi\)
\(500\) 38.7366 + 44.1291i 1.73235 + 1.97351i
\(501\) −25.1336 −1.12289
\(502\) 11.1256 + 70.2444i 0.496561 + 3.13516i
\(503\) −25.5556 13.0212i −1.13947 0.580588i −0.220683 0.975346i \(-0.570828\pi\)
−0.918785 + 0.394758i \(0.870828\pi\)
\(504\) −18.8964 + 13.4078i −0.841712 + 0.597231i
\(505\) 14.2288 1.93872i 0.633175 0.0862717i
\(506\) −18.3470 + 56.4661i −0.815622 + 2.51023i
\(507\) −16.0144 16.0144i −0.711223 0.711223i
\(508\) 7.10259 3.61895i 0.315126 0.160565i
\(509\) −14.1432 + 10.2757i −0.626888 + 0.455461i −0.855321 0.518099i \(-0.826640\pi\)
0.228433 + 0.973560i \(0.426640\pi\)
\(510\) −1.23873 4.11353i −0.0548519 0.182150i
\(511\) −8.41943 + 24.9563i −0.372453 + 1.10400i
\(512\) −0.393255 + 2.48292i −0.0173796 + 0.109730i
\(513\) −3.47916 0.551044i −0.153609 0.0243292i
\(514\) −42.5107 30.8858i −1.87506 1.36231i
\(515\) 1.52162 4.35944i 0.0670508 0.192100i
\(516\) −0.628744 0.865392i −0.0276789 0.0380968i
\(517\) 0.647530 0.329933i 0.0284784 0.0145104i
\(518\) −47.2738 24.7590i −2.07709 1.08785i
\(519\) 5.64141 + 1.83301i 0.247631 + 0.0804600i
\(520\) 105.299 50.8102i 4.61765 2.22817i
\(521\) 12.1915 3.96127i 0.534121 0.173547i −0.0295231 0.999564i \(-0.509399\pi\)
0.563644 + 0.826018i \(0.309399\pi\)
\(522\) 2.27727 + 1.16033i 0.0996736 + 0.0507862i
\(523\) −7.09684 + 1.12403i −0.310323 + 0.0491504i −0.309654 0.950849i \(-0.600213\pi\)
−0.000669472 1.00000i \(0.500213\pi\)
\(524\) −14.3243 −0.625758
\(525\) −8.34751 + 10.2625i −0.364315 + 0.447893i
\(526\) −18.2292 −0.794831
\(527\) 0.452097 0.0716052i 0.0196937 0.00311917i
\(528\) 41.5461 + 21.1688i 1.80806 + 0.921254i
\(529\) −14.4989 + 4.71097i −0.630385 + 0.204825i
\(530\) 38.4017 + 6.93798i 1.66806 + 0.301367i
\(531\) 13.1635 + 4.27707i 0.571245 + 0.185609i
\(532\) 43.3601 + 22.7092i 1.87990 + 0.984569i
\(533\) −52.8191 + 26.9127i −2.28785 + 1.16572i
\(534\) −12.2789 16.9004i −0.531359 0.731353i
\(535\) −3.28563 2.49765i −0.142050 0.107983i
\(536\) −94.5707 68.7096i −4.08483 2.96780i
\(537\) −14.0374 2.22331i −0.605760 0.0959429i
\(538\) 7.69377 48.5766i 0.331702 2.09428i
\(539\) 0.559783 24.9491i 0.0241116 1.07463i
\(540\) 9.64819 6.69541i 0.415192 0.288125i
\(541\) 20.4506 14.8582i 0.879240 0.638805i −0.0538104 0.998551i \(-0.517137\pi\)
0.933050 + 0.359746i \(0.117137\pi\)
\(542\) 34.2312 17.4417i 1.47035 0.749183i
\(543\) 3.10469 + 3.10469i 0.133235 + 0.133235i
\(544\) 3.90372 12.0144i 0.167370 0.515113i
\(545\) −8.05388 + 7.71232i −0.344991 + 0.330359i
\(546\) 24.6165 + 34.6935i 1.05349 + 1.48475i
\(547\) −25.3213 12.9018i −1.08266 0.551643i −0.180734 0.983532i \(-0.557847\pi\)
−0.901927 + 0.431889i \(0.857847\pi\)
\(548\) 11.7817 + 74.3867i 0.503289 + 3.17764i
\(549\) 11.8738 0.506763
\(550\) 47.0419 + 9.55554i 2.00587 + 0.407449i
\(551\) 3.34319i 0.142425i
\(552\) 8.47217 + 53.4912i 0.360599 + 2.27673i
\(553\) 3.42754 20.1734i 0.145754 0.857862i
\(554\) −2.82503 + 0.917907i −0.120024 + 0.0389981i
\(555\) 14.7544 + 7.92488i 0.626290 + 0.336392i
\(556\) −43.4851 14.1292i −1.84418 0.599210i
\(557\) 0.426676 0.426676i 0.0180789 0.0180789i −0.698010 0.716088i \(-0.745931\pi\)
0.716088 + 0.698010i \(0.245931\pi\)
\(558\) 0.784396 + 1.53946i 0.0332061 + 0.0651707i
\(559\) −0.983800 + 0.714772i −0.0416103 + 0.0302316i
\(560\) −74.3370 + 21.4791i −3.14131 + 0.907658i
\(561\) −2.05767 1.49498i −0.0868748 0.0631182i
\(562\) 7.26426 45.8648i 0.306424 1.93469i
\(563\) −0.559530 + 3.53273i −0.0235814 + 0.148887i −0.996670 0.0815461i \(-0.974014\pi\)
0.973088 + 0.230433i \(0.0740142\pi\)
\(564\) 0.629294 0.866149i 0.0264981 0.0364715i
\(565\) 0.709947 32.7702i 0.0298677 1.37865i
\(566\) −25.6427 35.2941i −1.07784 1.48352i
\(567\) 1.84973 + 1.89169i 0.0776812 + 0.0794437i
\(568\) −29.1756 29.1756i −1.22418 1.22418i
\(569\) −5.15405 1.67465i −0.216069 0.0702050i 0.198982 0.980003i \(-0.436236\pi\)
−0.415051 + 0.909798i \(0.636236\pi\)
\(570\) −18.6864 10.0368i −0.782687 0.420396i
\(571\) 7.39468 + 22.7585i 0.309458 + 0.952413i 0.977976 + 0.208717i \(0.0669289\pi\)
−0.668518 + 0.743696i \(0.733071\pi\)
\(572\) 50.7518 99.6060i 2.12204 4.16474i
\(573\) 6.89069 1.09138i 0.287863 0.0455930i
\(574\) 67.5196 21.1042i 2.81821 0.880871i
\(575\) 12.8316 + 28.1332i 0.535115 + 1.17323i
\(576\) 21.5255 0.896895
\(577\) 1.87490 + 11.8377i 0.0780532 + 0.492808i 0.995485 + 0.0949160i \(0.0302583\pi\)
−0.917432 + 0.397892i \(0.869742\pi\)
\(578\) 20.1615 39.5691i 0.838607 1.64586i
\(579\) −0.816604 2.51325i −0.0339369 0.104447i
\(580\) 7.70876 + 8.05017i 0.320089 + 0.334265i
\(581\) −11.2226 0.125885i −0.465591 0.00522257i
\(582\) −3.69790 + 3.69790i −0.153283 + 0.153283i
\(583\) 20.5854 10.4888i 0.852560 0.434401i
\(584\) 70.5295 51.2427i 2.91853 2.12044i
\(585\) −7.61151 10.9683i −0.314697 0.453483i
\(586\) 8.85481 12.1876i 0.365789 0.503465i
\(587\) 15.7984 + 2.50222i 0.652070 + 0.103278i 0.473701 0.880686i \(-0.342918\pi\)
0.178369 + 0.983964i \(0.442918\pi\)
\(588\) −15.9514 33.1229i −0.657826 1.36597i
\(589\) 1.32841 1.82841i 0.0547364 0.0753382i
\(590\) 66.3502 + 50.4376i 2.73159 + 2.07648i
\(591\) 0.384726 + 0.529530i 0.0158255 + 0.0217820i
\(592\) 44.4742 + 87.2856i 1.82788 + 3.58742i
\(593\) 12.7756 12.7756i 0.524630 0.524630i −0.394336 0.918966i \(-0.629025\pi\)
0.918966 + 0.394336i \(0.129025\pi\)
\(594\) 2.96672 9.13063i 0.121726 0.374634i
\(595\) 4.18819 0.522873i 0.171699 0.0214357i
\(596\) 8.46920 + 26.0655i 0.346912 + 1.06769i
\(597\) 17.6367 + 8.98635i 0.721823 + 0.367787i
\(598\) 98.2090 15.5548i 4.01606 0.636082i
\(599\) 14.0010i 0.572065i −0.958220 0.286033i \(-0.907663\pi\)
0.958220 0.286033i \(-0.0923365\pi\)
\(600\) 42.1908 11.7147i 1.72243 0.478250i
\(601\) 11.2796i 0.460104i −0.973178 0.230052i \(-0.926110\pi\)
0.973178 0.230052i \(-0.0738896\pi\)
\(602\) 1.30029 0.644261i 0.0529957 0.0262581i
\(603\) −6.05998 + 11.8934i −0.246781 + 0.484336i
\(604\) −26.1606 + 8.50008i −1.06446 + 0.345863i
\(605\) 3.44297 1.66135i 0.139977 0.0675436i
\(606\) 5.34428 16.4480i 0.217097 0.668155i
\(607\) −23.1458 23.1458i −0.939460 0.939460i 0.0588092 0.998269i \(-0.481270\pi\)
−0.998269 + 0.0588092i \(0.981270\pi\)
\(608\) −28.3169 55.5750i −1.14840 2.25386i
\(609\) −1.49865 + 2.01480i −0.0607284 + 0.0816438i
\(610\) 67.5057 + 23.5623i 2.73323 + 0.954009i
\(611\) −0.984660 0.715398i −0.0398351 0.0289419i
\(612\) −3.70078 0.586146i −0.149595 0.0236936i
\(613\) 34.9114 + 5.52943i 1.41006 + 0.223331i 0.814586 0.580043i \(-0.196964\pi\)
0.595474 + 0.803375i \(0.296964\pi\)
\(614\) −8.65351 6.28714i −0.349227 0.253728i
\(615\) −21.2584 + 6.40165i −0.857220 + 0.258139i
\(616\) −49.2987 + 66.2776i −1.98630 + 2.67040i
\(617\) 13.4707 + 26.4378i 0.542311 + 1.06435i 0.985778 + 0.168055i \(0.0537486\pi\)
−0.443466 + 0.896291i \(0.646251\pi\)
\(618\) −3.93208 3.93208i −0.158172 0.158172i
\(619\) −12.8648 + 39.5936i −0.517078 + 1.59140i 0.262391 + 0.964962i \(0.415489\pi\)
−0.779469 + 0.626441i \(0.784511\pi\)
\(620\) 1.01723 + 7.46576i 0.0408529 + 0.299832i
\(621\) 5.88158 1.91104i 0.236020 0.0766874i
\(622\) 27.5213 54.0136i 1.10350 2.16575i
\(623\) 18.3903 9.11198i 0.736793 0.365064i
\(624\) 78.0906i 3.12613i
\(625\) 21.4212 12.8893i 0.856847 0.515571i
\(626\) 9.94585i 0.397516i
\(627\) −12.4034 + 1.96450i −0.495344 + 0.0784548i
\(628\) −47.7406 24.3251i −1.90506 0.970676i
\(629\) −1.65125 5.08202i −0.0658396 0.202633i
\(630\) 6.76231 + 14.4253i 0.269417 + 0.574719i
\(631\) 10.7596 33.1145i 0.428331 1.31827i −0.471437 0.881900i \(-0.656264\pi\)
0.899768 0.436369i \(-0.143736\pi\)
\(632\) −47.8928 + 47.8928i −1.90507 + 1.90507i
\(633\) 8.83321 + 17.3361i 0.351088 + 0.689050i
\(634\) −23.2273 31.9696i −0.922473 1.26968i
\(635\) −0.978614 3.24975i −0.0388351 0.128962i
\(636\) 20.0056 27.5354i 0.793276 1.09185i
\(637\) −37.6550 + 18.1340i −1.49194 + 0.718495i
\(638\) 8.99955 + 1.42539i 0.356296 + 0.0564317i
\(639\) −2.76936 + 3.81170i −0.109554 + 0.150788i
\(640\) 47.6131 + 16.6189i 1.88207 + 0.656921i
\(641\) −19.4274 + 14.1148i −0.767336 + 0.557502i −0.901152 0.433504i \(-0.857277\pi\)
0.133816 + 0.991006i \(0.457277\pi\)
\(642\) −4.42871 + 2.25654i −0.174787 + 0.0890586i
\(643\) −5.87150 + 5.87150i −0.231549 + 0.231549i −0.813339 0.581790i \(-0.802353\pi\)
0.581790 + 0.813339i \(0.302353\pi\)
\(644\) −85.9273 0.963855i −3.38601 0.0379812i
\(645\) −0.410171 + 0.197922i −0.0161505 + 0.00779316i
\(646\) 2.09130 + 6.43635i 0.0822810 + 0.253235i
\(647\) −20.1228 + 39.4932i −0.791108 + 1.55264i 0.0417367 + 0.999129i \(0.486711\pi\)
−0.832844 + 0.553507i \(0.813289\pi\)
\(648\) −1.36996 8.64957i −0.0538170 0.339787i
\(649\) 49.3435 1.93690
\(650\) −21.5080 77.4617i −0.843613 3.03830i
\(651\) −1.62020 + 0.506415i −0.0635007 + 0.0198480i
\(652\) −40.1494 + 6.35903i −1.57237 + 0.249039i
\(653\) 7.20835 14.1472i 0.282084 0.553622i −0.705875 0.708337i \(-0.749446\pi\)
0.987959 + 0.154715i \(0.0494459\pi\)
\(654\) 4.14992 + 12.7721i 0.162275 + 0.499430i
\(655\) −1.08428 + 6.00150i −0.0423665 + 0.234498i
\(656\) −123.505 40.1291i −4.82205 1.56678i
\(657\) −7.03920 7.03920i −0.274625 0.274625i
\(658\) 1.01543 + 1.03847i 0.0395854 + 0.0404836i
\(659\) −16.8289 23.1631i −0.655563 0.902304i 0.343762 0.939057i \(-0.388299\pi\)
−0.999324 + 0.0367525i \(0.988299\pi\)
\(660\) 25.3368 33.3303i 0.986232 1.29738i
\(661\) −15.1960 + 20.9155i −0.591055 + 0.813517i −0.994853 0.101331i \(-0.967690\pi\)
0.403798 + 0.914848i \(0.367690\pi\)
\(662\) 1.16118 7.33142i 0.0451307 0.284944i
\(663\) −0.666346 + 4.20714i −0.0258787 + 0.163392i
\(664\) 30.0541 + 21.8355i 1.16632 + 0.847384i
\(665\) 12.7968 16.4478i 0.496237 0.637818i
\(666\) 16.3179 11.8557i 0.632306 0.459397i
\(667\) 2.66465 + 5.22967i 0.103176 + 0.202494i
\(668\) −93.3388 + 93.3388i −3.61139 + 3.61139i
\(669\) 10.0247 + 3.25721i 0.387576 + 0.125931i
\(670\) −58.0535 + 55.5915i −2.24280 + 2.14769i
\(671\) 40.2591 13.0810i 1.55418 0.504985i
\(672\) −7.84722 + 46.1864i −0.302713 + 1.78168i
\(673\) 2.37710 + 15.0084i 0.0916306 + 0.578533i 0.990195 + 0.139691i \(0.0446111\pi\)
−0.898564 + 0.438842i \(0.855389\pi\)
\(674\) 10.4509i 0.402555i
\(675\) −2.07488 4.54916i −0.0798622 0.175097i
\(676\) −118.945 −4.57482
\(677\) 4.77205 + 30.1295i 0.183405 + 1.15797i 0.891892 + 0.452248i \(0.149378\pi\)
−0.708487 + 0.705723i \(0.750622\pi\)
\(678\) −35.1726 17.9213i −1.35080 0.688265i
\(679\) −2.97321 4.19031i −0.114101 0.160809i
\(680\) −12.3075 6.61058i −0.471970 0.253504i
\(681\) −3.96866 + 12.2143i −0.152079 + 0.468053i
\(682\) 4.35552 + 4.35552i 0.166782 + 0.166782i
\(683\) 32.4045 16.5109i 1.23992 0.631773i 0.293890 0.955839i \(-0.405050\pi\)
0.946035 + 0.324066i \(0.105050\pi\)
\(684\) −14.9670 + 10.8741i −0.572277 + 0.415783i
\(685\) 32.0580 + 0.694518i 1.22487 + 0.0265362i
\(686\) 47.9247 13.8074i 1.82978 0.527169i
\(687\) −2.02054 + 12.7572i −0.0770885 + 0.486718i
\(688\) −2.63109 0.416724i −0.100309 0.0158875i
\(689\) −31.3029 22.7429i −1.19255 0.866436i
\(690\) 37.2305 + 0.806577i 1.41734 + 0.0307058i
\(691\) −19.5829 26.9536i −0.744969 1.02536i −0.998317 0.0579870i \(-0.981532\pi\)
0.253348 0.967375i \(-0.418468\pi\)
\(692\) 27.7578 14.1433i 1.05519 0.537647i
\(693\) 8.35564 + 4.37615i 0.317405 + 0.166236i
\(694\) 16.9230 + 5.49863i 0.642389 + 0.208725i
\(695\) −9.21140 + 17.1497i −0.349408 + 0.650523i
\(696\) 7.90473 2.56840i 0.299628 0.0973551i
\(697\) 6.31140 + 3.21582i 0.239061 + 0.121808i
\(698\) 68.1018 10.7863i 2.57769 0.408266i
\(699\) 2.36037 0.0892775
\(700\) 7.11176 + 69.1121i 0.268799 + 2.61219i
\(701\) 1.54162 0.0582261 0.0291130 0.999576i \(-0.490732\pi\)
0.0291130 + 0.999576i \(0.490732\pi\)
\(702\) −15.8805 + 2.51522i −0.599370 + 0.0949310i
\(703\) −23.5079 11.9779i −0.886617 0.451754i
\(704\) 72.9836 23.7138i 2.75067 0.893748i
\(705\) −0.315260 0.329222i −0.0118734 0.0123992i
\(706\) −49.0564 15.9394i −1.84626 0.599887i
\(707\) 15.0519 + 7.88324i 0.566086 + 0.296480i
\(708\) 64.7689 33.0014i 2.43417 1.24027i
\(709\) −2.25577 3.10480i −0.0847171 0.116603i 0.764555 0.644559i \(-0.222959\pi\)
−0.849272 + 0.527955i \(0.822959\pi\)
\(710\) −23.3084 + 16.1750i −0.874748 + 0.607036i
\(711\) 6.25703 + 4.54600i 0.234657 + 0.170488i
\(712\) −67.0975 10.6272i −2.51459 0.398271i
\(713\) −0.620698 + 3.91894i −0.0232453 + 0.146765i
\(714\) 1.62489 4.81639i 0.0608099 0.180249i
\(715\) −37.8907 28.8035i −1.41703 1.07719i
\(716\) −60.3876 + 43.8741i −2.25679 + 1.63965i
\(717\) 26.6042 13.5555i 0.993551 0.506240i
\(718\) 12.2122 + 12.2122i 0.455755 + 0.455755i
\(719\) 4.17793 12.8583i 0.155810 0.479535i −0.842432 0.538803i \(-0.818877\pi\)
0.998242 + 0.0592679i \(0.0188766\pi\)
\(720\) 5.19968 28.7802i 0.193781 1.07257i
\(721\) 4.45568 3.16150i 0.165938 0.117740i
\(722\) −15.8166 8.05897i −0.588634 0.299924i
\(723\) 3.83103 + 24.1882i 0.142477 + 0.899567i
\(724\) 23.0598 0.857010
\(725\) 3.95634 2.62041i 0.146935 0.0973197i
\(726\) 4.60394i 0.170868i
\(727\) −2.22973 14.0780i −0.0826962 0.522123i −0.993910 0.110191i \(-0.964854\pi\)
0.911214 0.411933i \(-0.135146\pi\)
\(728\) 136.383 + 23.1719i 5.05469 + 0.858808i
\(729\) −0.951057 + 0.309017i −0.0352243 + 0.0114451i
\(730\) −26.0511 53.9881i −0.964196 1.99819i
\(731\) 0.138194 + 0.0449021i 0.00511131 + 0.00166076i
\(732\) 44.0959 44.0959i 1.62983 1.62983i
\(733\) −6.17520 12.1195i −0.228086 0.447644i 0.748393 0.663255i \(-0.230826\pi\)
−0.976479 + 0.215611i \(0.930826\pi\)
\(734\) −69.3251 + 50.3676i −2.55884 + 1.85910i
\(735\) −15.0851 + 4.17599i −0.556423 + 0.154034i
\(736\) 88.5910 + 64.3651i 3.26551 + 2.37253i
\(737\) −7.44429 + 47.0014i −0.274214 + 1.73132i
\(738\) −4.18268 + 26.4084i −0.153966 + 0.972106i
\(739\) −24.2670 + 33.4006i −0.892675 + 1.22866i 0.0800710 + 0.996789i \(0.474485\pi\)
−0.972746 + 0.231873i \(0.925515\pi\)
\(740\) 84.2242 25.3629i 3.09614 0.932359i
\(741\) 12.3620 + 17.0148i 0.454130 + 0.625056i
\(742\) 32.2810 + 33.0134i 1.18507 + 1.21196i
\(743\) 26.0011 + 26.0011i 0.953889 + 0.953889i 0.998983 0.0450933i \(-0.0143585\pi\)
−0.0450933 + 0.998983i \(0.514359\pi\)
\(744\) 5.34370 + 1.73627i 0.195909 + 0.0636548i
\(745\) 11.5619 1.57533i 0.423594 0.0577158i
\(746\) 3.26683 + 10.0543i 0.119607 + 0.368113i
\(747\) 1.92583 3.77965i 0.0704624 0.138290i
\(748\) −13.1935 + 2.08964i −0.482402 + 0.0764050i
\(749\) −1.45685 4.66097i −0.0532321 0.170308i
\(750\) −2.76893 29.9805i −0.101107 1.09473i
\(751\) −4.34272 −0.158468 −0.0792341 0.996856i \(-0.525247\pi\)
−0.0792341 + 0.996856i \(0.525247\pi\)
\(752\) −0.417089 2.63339i −0.0152097 0.0960300i
\(753\) 11.9898 23.5312i 0.436931 0.857526i
\(754\) −4.71555 14.5130i −0.171730 0.528532i
\(755\) 1.58108 + 11.6040i 0.0575414 + 0.422314i
\(756\) 13.8945 + 0.155856i 0.505339 + 0.00566844i
\(757\) 7.33518 7.33518i 0.266602 0.266602i −0.561128 0.827729i \(-0.689632\pi\)
0.827729 + 0.561128i \(0.189632\pi\)
\(758\) −79.2223 + 40.3658i −2.87748 + 1.46615i
\(759\) 17.8366 12.9590i 0.647427 0.470383i
\(760\) −66.0488 + 19.8896i −2.39584 + 0.721473i
\(761\) −25.7472 + 35.4380i −0.933335 + 1.28463i 0.0252096 + 0.999682i \(0.491975\pi\)
−0.958544 + 0.284943i \(0.908025\pi\)
\(762\) −4.03703 0.639402i −0.146246 0.0231631i
\(763\) −13.0539 + 1.91771i −0.472584 + 0.0694256i
\(764\) 21.5369 29.6430i 0.779179 1.07245i
\(765\) −0.525714 + 1.50617i −0.0190072 + 0.0544555i
\(766\) −11.7879 16.2246i −0.425913 0.586220i
\(767\) −37.5168 73.6310i −1.35465 2.65866i
\(768\) 12.5039 12.5039i 0.451196 0.451196i
\(769\) 5.91626 18.2084i 0.213346 0.656611i −0.785921 0.618327i \(-0.787811\pi\)
0.999267 0.0382840i \(-0.0121892\pi\)
\(770\) 38.8199 + 41.4603i 1.39897 + 1.49413i
\(771\) 6.02968 + 18.5575i 0.217154 + 0.668330i
\(772\) −12.3661 6.30083i −0.445065 0.226772i
\(773\) 33.9162 5.37180i 1.21988 0.193210i 0.486900 0.873458i \(-0.338128\pi\)
0.732982 + 0.680248i \(0.238128\pi\)
\(774\) 0.548480i 0.0197147i
\(775\) 3.20496 + 0.138933i 0.115126 + 0.00499061i
\(776\) 17.0066i 0.610500i
\(777\) 8.79791 + 17.7565i 0.315623 + 0.637010i
\(778\) −0.594782 + 1.16733i −0.0213240 + 0.0418506i
\(779\) 33.2625 10.8076i 1.19175 0.387224i
\(780\) −68.9999 12.4661i −2.47059 0.446359i
\(781\) −5.19051 + 15.9747i −0.185731 + 0.571621i
\(782\) −8.40140 8.40140i −0.300433 0.300433i
\(783\) −0.430877 0.845643i −0.0153983 0.0302208i
\(784\) −86.4172 30.2381i −3.08633 1.07993i
\(785\) −13.8054 + 18.1608i −0.492734 + 0.648188i
\(786\) 5.94204 + 4.31714i 0.211945 + 0.153987i
\(787\) −18.0276 2.85529i −0.642615 0.101780i −0.173382 0.984855i \(-0.555470\pi\)
−0.469233 + 0.883074i \(0.655470\pi\)
\(788\) 3.39528 + 0.537759i 0.120952 + 0.0191569i
\(789\) 5.47643 + 3.97886i 0.194966 + 0.141651i
\(790\) 26.5518 + 38.2615i 0.944670 + 1.36128i
\(791\) 23.1468 31.1187i 0.823004 1.10645i
\(792\) −14.1739 27.8177i −0.503646 0.988461i
\(793\) −50.1294 50.1294i −1.78015 1.78015i
\(794\) 23.2054 71.4190i 0.823530 2.53456i
\(795\) −10.0223 10.4662i −0.355455 0.371197i
\(796\) 98.8702 32.1249i 3.50436 1.13864i
\(797\) −10.0608 + 19.7455i −0.356372 + 0.699420i −0.997695 0.0678508i \(-0.978386\pi\)
0.641323 + 0.767271i \(0.278386\pi\)
\(798\) −11.1425 22.4885i −0.394441 0.796083i
\(799\) 0.145433i 0.00514506i
\(800\) 43.5727 77.0704i 1.54053 2.72485i
\(801\) 7.75733i 0.274092i
\(802\) −72.7706 + 11.5257i −2.56962 + 0.406988i
\(803\) −31.6217 16.1121i −1.11591 0.568583i
\(804\) 21.6635 + 66.6734i 0.764013 + 2.35139i
\(805\) −6.90816 + 35.9284i −0.243481 + 1.26631i
\(806\) 3.18777 9.81095i 0.112284 0.345576i
\(807\) −12.9141 + 12.9141i −0.454598 + 0.454598i
\(808\) −25.5329 50.1112i −0.898245 1.76291i
\(809\) 15.6457 + 21.5344i 0.550072 + 0.757109i 0.990022 0.140913i \(-0.0450038\pi\)
−0.439950 + 0.898022i \(0.645004\pi\)
\(810\) −6.02020 0.130424i −0.211528 0.00458264i
\(811\) −15.6325 + 21.5163i −0.548932 + 0.755539i −0.989867 0.142000i \(-0.954647\pi\)
0.440935 + 0.897539i \(0.354647\pi\)
\(812\) 1.91682 + 13.0479i 0.0672673 + 0.457892i
\(813\) −14.0907 2.23175i −0.494183 0.0782708i
\(814\) 42.2661 58.1743i 1.48143 2.03901i
\(815\) −0.374858 + 17.3029i −0.0131307 + 0.606095i
\(816\) −7.54904 + 5.48470i −0.264269 + 0.192003i
\(817\) 0.639246 0.325712i 0.0223644 0.0113952i
\(818\) −3.67911 + 3.67911i −0.128637 + 0.128637i
\(819\) 0.177181 15.7957i 0.00619121 0.551945i
\(820\) −55.1734 + 102.721i −1.92674 + 3.58718i
\(821\) −7.84636 24.1486i −0.273840 0.842792i −0.989524 0.144368i \(-0.953885\pi\)
0.715684 0.698424i \(-0.246115\pi\)
\(822\) 17.5319 34.4082i 0.611494 1.20012i
\(823\) 3.66412 + 23.1344i 0.127723 + 0.806413i 0.965501 + 0.260401i \(0.0838548\pi\)
−0.837777 + 0.546012i \(0.816145\pi\)
\(824\) −18.0836 −0.629971
\(825\) −12.0467 13.1384i −0.419411 0.457421i
\(826\) 29.4197 + 94.1239i 1.02364 + 3.27499i
\(827\) 4.60917 0.730021i 0.160277 0.0253853i −0.0757804 0.997125i \(-0.524145\pi\)
0.236057 + 0.971739i \(0.424145\pi\)
\(828\) 14.7454 28.9395i 0.512438 1.00572i
\(829\) 8.99475 + 27.6830i 0.312401 + 0.961470i 0.976811 + 0.214103i \(0.0686827\pi\)
−0.664411 + 0.747368i \(0.731317\pi\)
\(830\) 18.4491 17.6667i 0.640378 0.613219i
\(831\) 1.04905 + 0.340856i 0.0363910 + 0.0118242i
\(832\) −90.8769 90.8769i −3.15059 3.15059i
\(833\) 4.39772 + 2.36647i 0.152372 + 0.0819935i
\(834\) 13.7803 + 18.9670i 0.477173 + 0.656772i
\(835\) 32.0413 + 46.1720i 1.10883 + 1.59785i
\(836\) −38.7669 + 53.3581i −1.34078 + 1.84543i
\(837\) 0.100368 0.633696i 0.00346921 0.0219037i
\(838\) −2.96676 + 18.7314i −0.102485 + 0.647066i
\(839\) 17.2694 + 12.5470i 0.596207 + 0.433170i 0.844531 0.535507i \(-0.179880\pi\)
−0.248323 + 0.968677i \(0.579880\pi\)
\(840\) 48.7208 + 17.6210i 1.68103 + 0.607984i
\(841\) −22.7328 + 16.5163i −0.783888 + 0.569528i
\(842\) 32.2333 + 63.2614i 1.11083 + 2.18013i
\(843\) −12.1932 + 12.1932i −0.419955 + 0.419955i
\(844\) 97.1852 + 31.5774i 3.34525 + 1.08694i
\(845\) −9.00364 + 49.8351i −0.309735 + 1.71438i
\(846\) −0.522092 + 0.169638i −0.0179499 + 0.00583228i
\(847\) 4.45935 + 0.757658i 0.153225 + 0.0260334i
\(848\) −13.2595 83.7172i −0.455333 2.87486i
\(849\) 16.2001i 0.555985i
\(850\) −5.97763 + 7.51971i −0.205031 + 0.257924i
\(851\) 46.3197 1.58782
\(852\) 3.87093 + 24.4401i 0.132616 + 0.837304i
\(853\) −18.6081 9.48128i −0.637128 0.324633i 0.105418 0.994428i \(-0.466382\pi\)
−0.742546 + 0.669795i \(0.766382\pi\)
\(854\) 48.9556 + 68.9959i 1.67523 + 2.36099i
\(855\) 3.42306 + 7.09391i 0.117066 + 0.242607i
\(856\) −4.99488 + 15.3727i −0.170722 + 0.525427i
\(857\) −15.7492 15.7492i −0.537981 0.537981i 0.384955 0.922935i \(-0.374217\pi\)
−0.922935 + 0.384955i \(0.874217\pi\)
\(858\) −51.0730 + 26.0230i −1.74360 + 0.888410i
\(859\) −11.7622 + 8.54571i −0.401320 + 0.291576i −0.770078 0.637949i \(-0.779783\pi\)
0.368759 + 0.929525i \(0.379783\pi\)
\(860\) −0.788231 + 2.25828i −0.0268785 + 0.0770066i
\(861\) −24.8906 8.39727i −0.848271 0.286178i
\(862\) 8.87720 56.0484i 0.302359 1.90902i
\(863\) −34.7984 5.51153i −1.18455 0.187615i −0.467088 0.884211i \(-0.654697\pi\)
−0.717463 + 0.696596i \(0.754697\pi\)
\(864\) −14.3252 10.4079i −0.487355 0.354084i
\(865\) −3.82454 12.7004i −0.130038 0.431826i
\(866\) −45.6799 62.8730i −1.55227 2.13651i
\(867\) −14.6936 + 7.48677i −0.499021 + 0.254264i
\(868\) −4.13627 + 7.89762i −0.140394 + 0.268063i
\(869\) 26.2231 + 8.52039i 0.889557 + 0.289034i
\(870\) −0.771560 5.66272i −0.0261583 0.191984i
\(871\) 75.7960 24.6276i 2.56825 0.834475i
\(872\) 38.9121 + 19.8267i 1.31773 + 0.671417i
\(873\) 1.91806 0.303791i 0.0649165 0.0102818i
\(874\) −58.6637 −1.98433
\(875\) 29.4946 + 2.25184i 0.997098 + 0.0761260i
\(876\) −52.2830 −1.76648
\(877\) −34.4050 + 5.44922i −1.16178 + 0.184007i −0.707407 0.706807i \(-0.750135\pi\)
−0.454369 + 0.890814i \(0.650135\pi\)
\(878\) −58.2353 29.6724i −1.96535 1.00139i
\(879\) −5.32033 + 1.72868i −0.179450 + 0.0583070i
\(880\) −14.0762 103.309i −0.474508 3.48256i
\(881\) −45.5616 14.8038i −1.53501 0.498754i −0.585014 0.811023i \(-0.698911\pi\)
−0.949994 + 0.312269i \(0.898911\pi\)
\(882\) −3.36579 + 18.5477i −0.113332 + 0.624534i
\(883\) −5.86364 + 2.98767i −0.197327 + 0.100543i −0.549862 0.835255i \(-0.685320\pi\)
0.352535 + 0.935799i \(0.385320\pi\)
\(884\) 13.1495 + 18.0987i 0.442264 + 0.608725i
\(885\) −8.92404 29.6346i −0.299978 0.996157i
\(886\) 15.4416 + 11.2190i 0.518772 + 0.376910i
\(887\) 17.1908 + 2.72276i 0.577212 + 0.0914214i 0.438213 0.898871i \(-0.355612\pi\)
0.138999 + 0.990293i \(0.455612\pi\)
\(888\) 10.2609 64.7848i 0.344334 2.17404i
\(889\) 1.28368 3.80501i 0.0430533 0.127616i
\(890\) −15.3935 + 44.1023i −0.515992 + 1.47831i
\(891\) −2.88419 + 2.09549i −0.0966240 + 0.0702015i
\(892\) 49.3250 25.1323i 1.65152 0.841493i
\(893\) 0.507752 + 0.507752i 0.0169913 + 0.0169913i
\(894\) 4.34258 13.3651i 0.145238 0.446996i
\(895\) 13.8111 + 28.6219i 0.461653 + 0.956726i
\(896\) 34.5293 + 48.6642i 1.15354 + 1.62576i
\(897\) −32.8991 16.7629i −1.09847 0.559698i
\(898\) −14.3962 90.8942i −0.480408 3.03318i
\(899\) 0.608930 0.0203089
\(900\) −24.5997 9.18874i −0.819991 0.306291i
\(901\) 4.62341i 0.154028i
\(902\) 14.9115 + 94.1474i 0.496498 + 3.13477i
\(903\) −0.531254 0.0902619i −0.0176790 0.00300373i
\(904\) −122.089 + 39.6692i −4.06062 + 1.31938i
\(905\) 1.74553 9.66147i 0.0580233 0.321158i
\(906\) 13.4138 + 4.35842i 0.445645 + 0.144799i
\(907\) 29.9696 29.9696i 0.995125 0.995125i −0.00486305 0.999988i \(-0.501548\pi\)
0.999988 + 0.00486305i \(0.00154796\pi\)
\(908\) 30.6218 + 60.0987i 1.01622 + 1.99445i
\(909\) −5.19561 + 3.77483i −0.172328 + 0.125203i
\(910\) 32.3520 89.4507i 1.07246 2.96526i
\(911\) −17.9205 13.0200i −0.593734 0.431373i 0.249915 0.968268i \(-0.419597\pi\)
−0.843649 + 0.536895i \(0.819597\pi\)
\(912\) −7.20725 + 45.5048i −0.238656 + 1.50681i
\(913\) 2.36575 14.9368i 0.0782950 0.494335i
\(914\) −33.0907 + 45.5455i −1.09454 + 1.50651i
\(915\) −15.1372 21.8130i −0.500421 0.721114i
\(916\) 39.8728 + 54.8802i 1.31743 + 1.81329i
\(917\) −5.15942 + 5.04495i −0.170379 + 0.166599i
\(918\) 1.35851 + 1.35851i 0.0448377 + 0.0448377i
\(919\) 11.8815 + 3.86053i 0.391935 + 0.127347i 0.498353 0.866974i \(-0.333938\pi\)
−0.106419 + 0.994321i \(0.533938\pi\)
\(920\) 87.4658 83.7564i 2.88366 2.76137i
\(921\) 1.22741 + 3.77757i 0.0404445 + 0.124475i
\(922\) 6.90538 13.5526i 0.227417 0.446330i
\(923\) 27.7841 4.40057i 0.914526 0.144847i
\(924\) 47.2821 14.7787i 1.55547 0.486182i
\(925\) −4.25101 37.2077i −0.139772 1.22338i
\(926\) 68.7066 2.25784
\(927\) 0.323029 + 2.03953i 0.0106097 + 0.0669868i
\(928\) 7.62953 14.9738i 0.250451 0.491539i
\(929\) −14.0284 43.1748i −0.460255 1.41652i −0.864853 0.502025i \(-0.832588\pi\)
0.404598 0.914495i \(-0.367412\pi\)
\(930\) 1.82811 3.40355i 0.0599461 0.111607i
\(931\) 23.6159 7.09169i 0.773979 0.232421i
\(932\) 8.76572 8.76572i 0.287131 0.287131i
\(933\) −20.0574 + 10.2198i −0.656651 + 0.334580i
\(934\) −41.8165 + 30.3815i −1.36828 + 0.994112i
\(935\) −0.123182 + 5.68592i −0.00402849 + 0.185949i
\(936\) −30.7333 + 42.3008i −1.00455 + 1.38264i
\(937\) 45.5925 + 7.22114i 1.48944 + 0.235904i 0.847478 0.530831i \(-0.178120\pi\)
0.641963 + 0.766735i \(0.278120\pi\)
\(938\) −94.0946 + 13.8231i −3.07230 + 0.451340i
\(939\) −2.17086 + 2.98794i −0.0708435 + 0.0975077i
\(940\) −2.39342 0.0518520i −0.0780646 0.00169123i
\(941\) −28.7014 39.5041i −0.935638 1.28780i −0.957619 0.288037i \(-0.906997\pi\)
0.0219810 0.999758i \(-0.493003\pi\)
\(942\) 12.4727 + 24.4790i 0.406382 + 0.797570i
\(943\) −43.4176 + 43.4176i −1.41387 + 1.41387i
\(944\) 55.9408 172.168i 1.82072 5.60360i
\(945\) 1.11706 5.80966i 0.0363378 0.188988i
\(946\) 0.604241 + 1.85966i 0.0196456 + 0.0604628i
\(947\) −39.9840 20.3728i −1.29930 0.662029i −0.338948 0.940805i \(-0.610071\pi\)
−0.960356 + 0.278776i \(0.910071\pi\)
\(948\) 40.1193 6.35427i 1.30301 0.206377i
\(949\) 59.4367i 1.92940i
\(950\) 5.38388 + 47.1233i 0.174676 + 1.52888i
\(951\) 14.6741i 0.475841i
\(952\) −7.33883 14.8117i −0.237853 0.480048i
\(953\) −8.73467 + 17.1428i −0.282944 + 0.555309i −0.988113 0.153731i \(-0.950871\pi\)
0.705169 + 0.709039i \(0.250871\pi\)
\(954\) −16.5976 + 5.39290i −0.537368 + 0.174601i
\(955\) −10.7894 11.2673i −0.349138 0.364601i
\(956\) 48.4589 149.141i 1.56727 4.82357i
\(957\) −2.39253 2.39253i −0.0773396 0.0773396i
\(958\) −3.13551 6.15379i −0.101304 0.198820i
\(959\) 30.4424 + 22.6437i 0.983036 + 0.731203i
\(960\) −27.4415 39.5436i −0.885670 1.27626i
\(961\) −24.7465 17.9794i −0.798274 0.579980i
\(962\) −118.944 18.8389i −3.83491 0.607390i
\(963\) 1.82301 + 0.288736i 0.0587456 + 0.00930439i
\(964\) 104.055 + 75.6003i 3.35138 + 2.43492i
\(965\) −3.57595 + 4.70413i −0.115114 + 0.151431i
\(966\) 35.3542 + 26.2972i 1.13750 + 0.846099i
\(967\) 3.27023 + 6.41818i 0.105163 + 0.206395i 0.937592 0.347738i \(-0.113050\pi\)
−0.832428 + 0.554133i \(0.813050\pi\)
\(968\) −10.5867 10.5867i −0.340270 0.340270i
\(969\) 0.776583 2.39008i 0.0249474 0.0767803i
\(970\) 11.5075 + 2.07904i 0.369483 + 0.0667541i
\(971\) −4.94954 + 1.60820i −0.158838 + 0.0516097i −0.387357 0.921930i \(-0.626612\pi\)
0.228519 + 0.973540i \(0.426612\pi\)
\(972\) −2.38434 + 4.67954i −0.0764779 + 0.150096i
\(973\) −20.6390 + 10.2262i −0.661657 + 0.327836i
\(974\) 21.4976i 0.688829i
\(975\) −10.4460 + 27.9656i −0.334539 + 0.895616i
\(976\) 155.301i 4.97106i
\(977\) −36.7431 + 5.81953i −1.17552 + 0.186183i −0.713478 0.700677i \(-0.752881\pi\)
−0.462037 + 0.886861i \(0.652881\pi\)
\(978\) 18.5714 + 9.46262i 0.593849 + 0.302581i
\(979\) 8.54596 + 26.3018i 0.273130 + 0.840608i
\(980\) −40.5133 + 71.5301i −1.29415 + 2.28494i
\(981\) 1.54103 4.74281i 0.0492013 0.151426i
\(982\) −41.3751 + 41.3751i −1.32033 + 1.32033i
\(983\) −4.09962 8.04596i −0.130758 0.256626i 0.816340 0.577571i \(-0.196000\pi\)
−0.947098 + 0.320945i \(0.896000\pi\)
\(984\) 51.1078 + 70.3439i 1.62926 + 2.24248i
\(985\) 0.482315 1.38183i 0.0153678 0.0440288i
\(986\) −1.07178 + 1.47517i −0.0341323 + 0.0469791i
\(987\) −0.0783909 0.533612i −0.00249521 0.0169850i
\(988\) 109.097 + 17.2793i 3.47083 + 0.549726i
\(989\) −0.740354 + 1.01901i −0.0235419 + 0.0324026i
\(990\) −20.5556 + 6.19002i −0.653300 + 0.196732i
\(991\) 43.1364 31.3405i 1.37027 0.995563i 0.372559 0.928009i \(-0.378481\pi\)
0.997716 0.0675538i \(-0.0215194\pi\)
\(992\) 10.1225 5.15765i 0.321389 0.163756i
\(993\) −1.94906 + 1.94906i −0.0618516 + 0.0618516i
\(994\) −33.5668 0.376522i −1.06468 0.0119426i
\(995\) −5.97547 43.8558i −0.189435 1.39032i
\(996\) −6.88455 21.1885i −0.218145 0.671382i
\(997\) 9.66918 18.9768i 0.306226 0.601002i −0.685691 0.727893i \(-0.740500\pi\)
0.991917 + 0.126891i \(0.0404998\pi\)
\(998\) 17.6719 + 111.576i 0.559394 + 3.53187i
\(999\) −7.48995 −0.236971
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 525.2.bh.a.13.2 yes 320
7.6 odd 2 inner 525.2.bh.a.13.1 320
25.2 odd 20 inner 525.2.bh.a.202.1 yes 320
175.27 even 20 inner 525.2.bh.a.202.2 yes 320
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
525.2.bh.a.13.1 320 7.6 odd 2 inner
525.2.bh.a.13.2 yes 320 1.1 even 1 trivial
525.2.bh.a.202.1 yes 320 25.2 odd 20 inner
525.2.bh.a.202.2 yes 320 175.27 even 20 inner