Properties

Label 950.2.bi.a.3.10
Level $950$
Weight $2$
Character 950.3
Analytic conductor $7.586$
Analytic rank $0$
Dimension $2400$
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] = [950,2,Mod(3,950)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(950, base_ring=CyclotomicField(180))
 
chi = DirichletCharacter(H, H._module([63, 130]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("950.3");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 950 = 2 \cdot 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 950.bi (of order \(180\), degree \(48\), 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: \(7.58578819202\)
Analytic rank: \(0\)
Dimension: \(2400\)
Relative dimension: \(50\) over \(\Q(\zeta_{180})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{180}]$

Embedding invariants

Embedding label 3.10
Character \(\chi\) \(=\) 950.3
Dual form 950.2.bi.a.317.10

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.974370 - 0.224951i) q^{2} +(-0.697754 + 0.386771i) q^{3} +(0.898794 + 0.438371i) q^{4} +(-1.12307 + 1.93357i) q^{5} +(0.766875 - 0.219898i) q^{6} +(-1.17316 - 0.314348i) q^{7} +(-0.777146 - 0.629320i) q^{8} +(-1.25249 + 2.00440i) q^{9} +O(q^{10})\) \(q+(-0.974370 - 0.224951i) q^{2} +(-0.697754 + 0.386771i) q^{3} +(0.898794 + 0.438371i) q^{4} +(-1.12307 + 1.93357i) q^{5} +(0.766875 - 0.219898i) q^{6} +(-1.17316 - 0.314348i) q^{7} +(-0.777146 - 0.629320i) q^{8} +(-1.25249 + 2.00440i) q^{9} +(1.52925 - 1.63138i) q^{10} +(3.11910 + 3.46411i) q^{11} +(-0.796687 + 0.0417526i) q^{12} +(1.20107 + 1.28799i) q^{13} +(1.07238 + 0.570195i) q^{14} +(0.0357781 - 1.78353i) q^{15} +(0.615661 + 0.788011i) q^{16} +(3.48984 - 3.03367i) q^{17} +(1.67128 - 1.67128i) q^{18} +(-4.21706 + 1.10291i) q^{19} +(-1.85703 + 1.24556i) q^{20} +(0.940159 - 0.234408i) q^{21} +(-2.25990 - 4.07697i) q^{22} +(1.40096 + 1.85914i) q^{23} +(0.785660 + 0.138533i) q^{24} +(-2.47741 - 4.34309i) q^{25} +(-0.880553 - 1.52516i) q^{26} +(0.223942 - 4.27307i) q^{27} +(-0.916630 - 0.796814i) q^{28} +(-2.73420 + 0.191194i) q^{29} +(-0.436068 + 1.72977i) q^{30} +(-2.03352 + 4.56735i) q^{31} +(-0.422618 - 0.906308i) q^{32} +(-3.51618 - 1.21072i) q^{33} +(-4.08282 + 2.17087i) q^{34} +(1.92536 - 1.91536i) q^{35} +(-2.00440 + 1.25249i) q^{36} +(-2.41307 + 4.73593i) q^{37} +(4.35708 - 0.126009i) q^{38} +(-1.33621 - 0.434161i) q^{39} +(2.08963 - 0.795896i) q^{40} +(-8.56531 + 6.69195i) q^{41} +(-0.968793 + 0.0169103i) q^{42} +(3.08291 - 2.15868i) q^{43} +(1.28486 + 4.48084i) q^{44} +(-2.46902 - 4.67287i) q^{45} +(-0.946842 - 2.12664i) q^{46} +(4.48105 - 5.15486i) q^{47} +(-0.734360 - 0.311717i) q^{48} +(-4.78468 - 2.76244i) q^{49} +(1.43693 + 4.78907i) q^{50} +(-1.26171 + 3.46653i) q^{51} +(0.514897 + 1.68415i) q^{52} +(-4.25234 - 12.3497i) q^{53} +(-1.17943 + 4.11317i) q^{54} +(-10.2011 + 2.14056i) q^{55} +(0.713892 + 0.982588i) q^{56} +(2.51590 - 2.40060i) q^{57} +(2.70713 + 0.428768i) q^{58} +(3.36635 - 8.33200i) q^{59} +(0.814006 - 1.58734i) q^{60} +(9.12148 + 1.28194i) q^{61} +(3.00883 - 3.99285i) q^{62} +(2.09945 - 1.95777i) q^{63} +(0.207912 + 0.978148i) q^{64} +(-3.83932 + 0.875851i) q^{65} +(3.15371 + 1.97066i) q^{66} +(-10.6808 + 6.41766i) q^{67} +(4.46652 - 1.19680i) q^{68} +(-1.69659 - 0.755372i) q^{69} +(-2.30688 + 1.43316i) q^{70} +(-5.09143 - 5.27233i) q^{71} +(2.23478 - 0.769496i) q^{72} +(-10.6090 + 11.3768i) q^{73} +(3.41658 - 4.07172i) q^{74} +(3.40841 + 2.07222i) q^{75} +(-4.27375 - 0.857350i) q^{76} +(-2.57027 - 5.04444i) q^{77} +(1.20430 + 0.723615i) q^{78} +(0.145110 + 0.0416097i) q^{79} +(-2.21511 + 0.305433i) q^{80} +(-1.61189 - 3.30486i) q^{81} +(9.85114 - 4.59366i) q^{82} +(0.180792 + 0.470979i) q^{83} +(0.947767 + 0.201454i) q^{84} +(1.94648 + 10.1549i) q^{85} +(-3.48949 + 1.40985i) q^{86} +(1.83385 - 1.19092i) q^{87} +(-0.243960 - 4.65503i) q^{88} +(-7.92743 + 10.1467i) q^{89} +(1.35457 + 5.10851i) q^{90} +(-1.00417 - 1.88857i) q^{91} +(0.444184 + 2.28513i) q^{92} +(-0.347627 - 3.97339i) q^{93} +(-5.52580 + 4.01473i) q^{94} +(2.60351 - 9.39264i) q^{95} +(0.645418 + 0.468923i) q^{96} +(4.65794 - 7.75212i) q^{97} +(4.04064 + 3.76796i) q^{98} +(-10.8501 + 1.91317i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 2400 q + 12 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 2400 q + 12 q^{7} + 36 q^{15} - 36 q^{17} + 96 q^{22} + 120 q^{23} + 24 q^{25} - 120 q^{29} - 24 q^{33} - 36 q^{35} - 168 q^{43} + 36 q^{45} - 96 q^{47} + 144 q^{50} - 36 q^{53} + 72 q^{55} + 156 q^{57} - 120 q^{59} + 24 q^{60} + 24 q^{62} - 36 q^{63} - 720 q^{65} + 96 q^{67} + 12 q^{68} + 48 q^{70} + 36 q^{73} - 96 q^{78} - 48 q^{82} - 84 q^{83} - 540 q^{84} - 288 q^{85} - 192 q^{87} - 168 q^{90} - 72 q^{92} - 156 q^{93} - 24 q^{95} - 120 q^{97} - 24 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(401\)
\(\chi(n)\) \(e\left(\frac{7}{20}\right)\) \(e\left(\frac{13}{18}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.974370 0.224951i −0.688984 0.159064i
\(3\) −0.697754 + 0.386771i −0.402849 + 0.223303i −0.673202 0.739459i \(-0.735082\pi\)
0.270354 + 0.962761i \(0.412859\pi\)
\(4\) 0.898794 + 0.438371i 0.449397 + 0.219186i
\(5\) −1.12307 + 1.93357i −0.502254 + 0.864720i
\(6\) 0.766875 0.219898i 0.313076 0.0897730i
\(7\) −1.17316 0.314348i −0.443413 0.118812i 0.0302025 0.999544i \(-0.490385\pi\)
−0.473616 + 0.880732i \(0.657051\pi\)
\(8\) −0.777146 0.629320i −0.274763 0.222498i
\(9\) −1.25249 + 2.00440i −0.417496 + 0.668134i
\(10\) 1.52925 1.63138i 0.483591 0.515888i
\(11\) 3.11910 + 3.46411i 0.940443 + 1.04447i 0.998933 + 0.0461803i \(0.0147049\pi\)
−0.0584896 + 0.998288i \(0.518628\pi\)
\(12\) −0.796687 + 0.0417526i −0.229984 + 0.0120529i
\(13\) 1.20107 + 1.28799i 0.333117 + 0.357224i 0.875767 0.482735i \(-0.160357\pi\)
−0.542649 + 0.839959i \(0.682579\pi\)
\(14\) 1.07238 + 0.570195i 0.286606 + 0.152391i
\(15\) 0.0357781 1.78353i 0.00923787 0.460506i
\(16\) 0.615661 + 0.788011i 0.153915 + 0.197003i
\(17\) 3.48984 3.03367i 0.846410 0.735773i −0.120001 0.992774i \(-0.538290\pi\)
0.966411 + 0.257001i \(0.0827343\pi\)
\(18\) 1.67128 1.67128i 0.393925 0.393925i
\(19\) −4.21706 + 1.10291i −0.967460 + 0.253025i
\(20\) −1.85703 + 1.24556i −0.415246 + 0.278516i
\(21\) 0.940159 0.234408i 0.205160 0.0511520i
\(22\) −2.25990 4.07697i −0.481812 0.869213i
\(23\) 1.40096 + 1.85914i 0.292121 + 0.387658i 0.920818 0.389992i \(-0.127522\pi\)
−0.628697 + 0.777651i \(0.716411\pi\)
\(24\) 0.785660 + 0.138533i 0.160372 + 0.0282779i
\(25\) −2.47741 4.34309i −0.495483 0.868618i
\(26\) −0.880553 1.52516i −0.172691 0.299109i
\(27\) 0.223942 4.27307i 0.0430976 0.822352i
\(28\) −0.916630 0.796814i −0.173227 0.150584i
\(29\) −2.73420 + 0.191194i −0.507728 + 0.0355038i −0.321324 0.946969i \(-0.604128\pi\)
−0.186404 + 0.982473i \(0.559683\pi\)
\(30\) −0.436068 + 1.72977i −0.0796148 + 0.315812i
\(31\) −2.03352 + 4.56735i −0.365230 + 0.820321i 0.633678 + 0.773597i \(0.281545\pi\)
−0.998908 + 0.0467234i \(0.985122\pi\)
\(32\) −0.422618 0.906308i −0.0747091 0.160214i
\(33\) −3.51618 1.21072i −0.612089 0.210759i
\(34\) −4.08282 + 2.17087i −0.700198 + 0.372302i
\(35\) 1.92536 1.91536i 0.325445 0.323755i
\(36\) −2.00440 + 1.25249i −0.334067 + 0.208748i
\(37\) −2.41307 + 4.73593i −0.396707 + 0.778581i −0.999818 0.0190759i \(-0.993928\pi\)
0.603111 + 0.797657i \(0.293928\pi\)
\(38\) 4.35708 0.126009i 0.706811 0.0204413i
\(39\) −1.33621 0.434161i −0.213965 0.0695214i
\(40\) 2.08963 0.795896i 0.330399 0.125842i
\(41\) −8.56531 + 6.69195i −1.33768 + 1.04511i −0.343297 + 0.939227i \(0.611544\pi\)
−0.994379 + 0.105880i \(0.966234\pi\)
\(42\) −0.968793 + 0.0169103i −0.149488 + 0.00260932i
\(43\) 3.08291 2.15868i 0.470139 0.329195i −0.314383 0.949296i \(-0.601797\pi\)
0.784522 + 0.620101i \(0.212909\pi\)
\(44\) 1.28486 + 4.48084i 0.193700 + 0.675513i
\(45\) −2.46902 4.67287i −0.368060 0.696590i
\(46\) −0.946842 2.12664i −0.139604 0.313556i
\(47\) 4.48105 5.15486i 0.653629 0.751914i −0.327588 0.944821i \(-0.606236\pi\)
0.981217 + 0.192907i \(0.0617915\pi\)
\(48\) −0.734360 0.311717i −0.105996 0.0449925i
\(49\) −4.78468 2.76244i −0.683526 0.394634i
\(50\) 1.43693 + 4.78907i 0.203213 + 0.677277i
\(51\) −1.26171 + 3.46653i −0.176675 + 0.485411i
\(52\) 0.514897 + 1.68415i 0.0714034 + 0.233550i
\(53\) −4.25234 12.3497i −0.584104 1.69636i −0.709898 0.704305i \(-0.751259\pi\)
0.125794 0.992056i \(-0.459852\pi\)
\(54\) −1.17943 + 4.11317i −0.160501 + 0.559732i
\(55\) −10.2011 + 2.14056i −1.37551 + 0.288633i
\(56\) 0.713892 + 0.982588i 0.0953979 + 0.131304i
\(57\) 2.51590 2.40060i 0.333239 0.317967i
\(58\) 2.70713 + 0.428768i 0.355464 + 0.0562999i
\(59\) 3.36635 8.33200i 0.438261 1.08473i −0.532872 0.846196i \(-0.678887\pi\)
0.971133 0.238538i \(-0.0766682\pi\)
\(60\) 0.814006 1.58734i 0.105088 0.204925i
\(61\) 9.12148 + 1.28194i 1.16789 + 0.164136i 0.696344 0.717708i \(-0.254809\pi\)
0.471542 + 0.881844i \(0.343698\pi\)
\(62\) 3.00883 3.99285i 0.382122 0.507092i
\(63\) 2.09945 1.95777i 0.264506 0.246656i
\(64\) 0.207912 + 0.978148i 0.0259890 + 0.122268i
\(65\) −3.83932 + 0.875851i −0.476208 + 0.108636i
\(66\) 3.15371 + 1.97066i 0.388195 + 0.242571i
\(67\) −10.6808 + 6.41766i −1.30487 + 0.784042i −0.986474 0.163917i \(-0.947587\pi\)
−0.318392 + 0.947959i \(0.603143\pi\)
\(68\) 4.46652 1.19680i 0.541645 0.145133i
\(69\) −1.69659 0.755372i −0.204246 0.0909361i
\(70\) −2.30688 + 1.43316i −0.275724 + 0.171295i
\(71\) −5.09143 5.27233i −0.604241 0.625710i 0.345623 0.938374i \(-0.387668\pi\)
−0.949864 + 0.312664i \(0.898779\pi\)
\(72\) 2.23478 0.769496i 0.263371 0.0906859i
\(73\) −10.6090 + 11.3768i −1.24169 + 1.33155i −0.318154 + 0.948039i \(0.603063\pi\)
−0.923536 + 0.383511i \(0.874715\pi\)
\(74\) 3.41658 4.07172i 0.397169 0.473328i
\(75\) 3.40841 + 2.07222i 0.393569 + 0.239279i
\(76\) −4.27375 0.857350i −0.490233 0.0983448i
\(77\) −2.57027 5.04444i −0.292910 0.574867i
\(78\) 1.20430 + 0.723615i 0.136360 + 0.0819333i
\(79\) 0.145110 + 0.0416097i 0.0163262 + 0.00468146i 0.283791 0.958886i \(-0.408408\pi\)
−0.267464 + 0.963568i \(0.586186\pi\)
\(80\) −2.21511 + 0.305433i −0.247657 + 0.0341484i
\(81\) −1.61189 3.30486i −0.179099 0.367207i
\(82\) 9.85114 4.59366i 1.08788 0.507285i
\(83\) 0.180792 + 0.470979i 0.0198445 + 0.0516967i 0.943145 0.332382i \(-0.107852\pi\)
−0.923300 + 0.384079i \(0.874519\pi\)
\(84\) 0.947767 + 0.201454i 0.103410 + 0.0219804i
\(85\) 1.94648 + 10.1549i 0.211125 + 1.10145i
\(86\) −3.48949 + 1.40985i −0.376281 + 0.152028i
\(87\) 1.83385 1.19092i 0.196609 0.127680i
\(88\) −0.243960 4.65503i −0.0260062 0.496228i
\(89\) −7.92743 + 10.1467i −0.840306 + 1.07554i 0.155835 + 0.987783i \(0.450193\pi\)
−0.996142 + 0.0877598i \(0.972029\pi\)
\(90\) 1.35457 + 5.10851i 0.142784 + 0.538485i
\(91\) −1.00417 1.88857i −0.105266 0.197976i
\(92\) 0.444184 + 2.28513i 0.0463094 + 0.238241i
\(93\) −0.347627 3.97339i −0.0360472 0.412022i
\(94\) −5.52580 + 4.01473i −0.569942 + 0.414087i
\(95\) 2.60351 9.39264i 0.267115 0.963665i
\(96\) 0.645418 + 0.468923i 0.0658727 + 0.0478593i
\(97\) 4.65794 7.75212i 0.472943 0.787109i −0.525008 0.851097i \(-0.675938\pi\)
0.997951 + 0.0639887i \(0.0203821\pi\)
\(98\) 4.04064 + 3.76796i 0.408166 + 0.380621i
\(99\) −10.8501 + 1.91317i −1.09048 + 0.192280i
\(100\) −0.322798 4.98957i −0.0322798 0.498957i
\(101\) −5.24968 1.91073i −0.522363 0.190124i 0.0673623 0.997729i \(-0.478542\pi\)
−0.589725 + 0.807604i \(0.700764\pi\)
\(102\) 2.00917 3.09385i 0.198938 0.306337i
\(103\) −2.65379 + 6.91336i −0.261486 + 0.681193i 0.738490 + 0.674264i \(0.235539\pi\)
−0.999976 + 0.00692933i \(0.997794\pi\)
\(104\) −0.122848 1.75682i −0.0120463 0.172270i
\(105\) −0.602622 + 2.08112i −0.0588099 + 0.203097i
\(106\) 1.36528 + 12.9897i 0.132607 + 1.26168i
\(107\) −0.707377 + 2.63997i −0.0683847 + 0.255215i −0.991652 0.128943i \(-0.958842\pi\)
0.923267 + 0.384158i \(0.125508\pi\)
\(108\) 2.07447 3.74244i 0.199616 0.360116i
\(109\) −12.2835 + 1.72634i −1.17655 + 0.165353i −0.700228 0.713919i \(-0.746918\pi\)
−0.476320 + 0.879272i \(0.658029\pi\)
\(110\) 10.4212 + 0.209051i 0.993618 + 0.0199322i
\(111\) −0.147988 4.23782i −0.0140464 0.402236i
\(112\) −0.474561 1.11800i −0.0448418 0.105641i
\(113\) 2.28498 + 1.16426i 0.214953 + 0.109524i 0.558152 0.829739i \(-0.311511\pi\)
−0.343199 + 0.939263i \(0.611511\pi\)
\(114\) −2.99143 + 1.77312i −0.280173 + 0.166068i
\(115\) −5.16818 + 0.620914i −0.481935 + 0.0579006i
\(116\) −2.54130 1.02675i −0.235953 0.0953314i
\(117\) −4.08598 + 0.794234i −0.377749 + 0.0734269i
\(118\) −5.15436 + 7.36119i −0.474497 + 0.677652i
\(119\) −5.04777 + 2.46196i −0.462728 + 0.225688i
\(120\) −1.15022 + 1.36355i −0.105000 + 0.124474i
\(121\) −1.12147 + 10.6701i −0.101952 + 0.970005i
\(122\) −8.59932 3.30097i −0.778546 0.298856i
\(123\) 3.38822 7.98215i 0.305506 0.719726i
\(124\) −3.82991 + 3.21367i −0.343936 + 0.288596i
\(125\) 11.1800 + 0.0873491i 0.999969 + 0.00781274i
\(126\) −2.48604 + 1.43532i −0.221474 + 0.127868i
\(127\) −11.3799 + 1.39728i −1.00981 + 0.123989i −0.609826 0.792535i \(-0.708761\pi\)
−0.399980 + 0.916524i \(0.630983\pi\)
\(128\) 0.0174524 0.999848i 0.00154259 0.0883749i
\(129\) −1.31620 + 2.69861i −0.115885 + 0.237599i
\(130\) 3.93794 + 0.0102555i 0.345380 + 0.000899466i
\(131\) 17.5250 + 1.22547i 1.53117 + 0.107070i 0.810304 0.586009i \(-0.199302\pi\)
0.720862 + 0.693079i \(0.243746\pi\)
\(132\) −2.62958 2.62958i −0.228876 0.228876i
\(133\) 5.29399 + 0.0317332i 0.459047 + 0.00275162i
\(134\) 11.8507 3.85053i 1.02374 0.332635i
\(135\) 8.01078 + 5.23198i 0.689459 + 0.450297i
\(136\) −4.62126 + 0.161378i −0.396270 + 0.0138381i
\(137\) −1.70611 + 5.58042i −0.145762 + 0.476767i −0.998998 0.0447585i \(-0.985748\pi\)
0.853235 + 0.521526i \(0.174637\pi\)
\(138\) 1.48319 + 1.11766i 0.126257 + 0.0951417i
\(139\) 9.65985 + 7.54710i 0.819338 + 0.640137i 0.935592 0.353083i \(-0.114867\pi\)
−0.116254 + 0.993219i \(0.537089\pi\)
\(140\) 2.57014 0.877490i 0.217217 0.0741615i
\(141\) −1.13292 + 5.32997i −0.0954091 + 0.448864i
\(142\) 3.77492 + 6.28252i 0.316784 + 0.527217i
\(143\) −0.715483 + 8.17801i −0.0598317 + 0.683880i
\(144\) −2.35060 + 0.247058i −0.195883 + 0.0205882i
\(145\) 2.70102 5.50150i 0.224307 0.456875i
\(146\) 12.8963 8.69867i 1.06731 0.719907i
\(147\) 4.40697 + 0.0769239i 0.363480 + 0.00634457i
\(148\) −4.24495 + 3.19880i −0.348933 + 0.262940i
\(149\) −5.44300 14.9545i −0.445908 1.22512i −0.935548 0.353198i \(-0.885094\pi\)
0.489640 0.871925i \(-0.337128\pi\)
\(150\) −2.85490 2.78583i −0.233102 0.227462i
\(151\) 4.09495i 0.333243i 0.986021 + 0.166621i \(0.0532857\pi\)
−0.986021 + 0.166621i \(0.946714\pi\)
\(152\) 3.97135 + 1.79676i 0.322119 + 0.145737i
\(153\) 1.70971 + 10.7947i 0.138222 + 0.872698i
\(154\) 1.36964 + 5.49334i 0.110369 + 0.442666i
\(155\) −6.54752 9.06142i −0.525910 0.727831i
\(156\) −1.01065 0.975977i −0.0809171 0.0781407i
\(157\) −12.3290 17.6077i −0.983963 1.40524i −0.913089 0.407760i \(-0.866310\pi\)
−0.0708736 0.997485i \(-0.522579\pi\)
\(158\) −0.132031 0.0731860i −0.0105038 0.00582237i
\(159\) 7.74360 + 6.97237i 0.614107 + 0.552945i
\(160\) 2.22704 + 0.200687i 0.176063 + 0.0158657i
\(161\) −1.05914 2.62147i −0.0834720 0.206600i
\(162\) 0.827144 + 3.58275i 0.0649866 + 0.281488i
\(163\) 5.59610 + 8.61724i 0.438320 + 0.674954i 0.986935 0.161122i \(-0.0515111\pi\)
−0.548614 + 0.836076i \(0.684844\pi\)
\(164\) −10.6320 + 2.25990i −0.830220 + 0.176469i
\(165\) 6.28994 5.43907i 0.489671 0.423431i
\(166\) −0.0702110 0.499577i −0.00544943 0.0387747i
\(167\) −0.0330257 1.89204i −0.00255561 0.146411i −0.998442 0.0557998i \(-0.982229\pi\)
0.995886 0.0906109i \(-0.0288820\pi\)
\(168\) −0.878158 0.409492i −0.0677514 0.0315930i
\(169\) 0.690485 9.87440i 0.0531142 0.759569i
\(170\) 0.387762 10.3325i 0.0297400 0.792465i
\(171\) 3.07115 9.83406i 0.234857 0.752030i
\(172\) 3.71720 0.588747i 0.283434 0.0448915i
\(173\) 5.36499 23.2383i 0.407893 1.76678i −0.207176 0.978304i \(-0.566427\pi\)
0.615069 0.788473i \(-0.289128\pi\)
\(174\) −2.05475 + 0.747867i −0.155770 + 0.0566956i
\(175\) 1.54116 + 5.87391i 0.116501 + 0.444026i
\(176\) −0.809447 + 4.59060i −0.0610144 + 0.346030i
\(177\) 0.873697 + 7.11569i 0.0656711 + 0.534848i
\(178\) 10.0068 8.10331i 0.750038 0.607369i
\(179\) 19.6641 8.75501i 1.46976 0.654381i 0.493259 0.869882i \(-0.335805\pi\)
0.976503 + 0.215502i \(0.0691387\pi\)
\(180\) −0.170690 5.28229i −0.0127225 0.393719i
\(181\) 13.3207 + 3.32123i 0.990122 + 0.246865i 0.703125 0.711066i \(-0.251787\pi\)
0.286997 + 0.957932i \(0.407343\pi\)
\(182\) 0.553599 + 2.06606i 0.0410355 + 0.153147i
\(183\) −6.86037 + 2.63345i −0.507133 + 0.194670i
\(184\) 0.0812425 2.32648i 0.00598928 0.171510i
\(185\) −6.44720 9.98465i −0.474008 0.734086i
\(186\) −0.555102 + 3.94976i −0.0407021 + 0.289610i
\(187\) 21.3941 + 2.62687i 1.56449 + 0.192096i
\(188\) 6.28729 2.66879i 0.458547 0.194642i
\(189\) −1.60595 + 4.94260i −0.116816 + 0.359521i
\(190\) −4.64967 + 8.56625i −0.337323 + 0.621461i
\(191\) 5.22887 + 16.0928i 0.378348 + 1.16444i 0.941192 + 0.337872i \(0.109707\pi\)
−0.562844 + 0.826563i \(0.690293\pi\)
\(192\) −0.523391 0.602092i −0.0377725 0.0434523i
\(193\) 5.53743 11.8751i 0.398593 0.854785i −0.599909 0.800068i \(-0.704797\pi\)
0.998502 0.0547172i \(-0.0174257\pi\)
\(194\) −6.28241 + 6.50562i −0.451051 + 0.467077i
\(195\) 2.34014 2.09607i 0.167581 0.150102i
\(196\) −3.08947 4.58033i −0.220677 0.327167i
\(197\) −1.39442 1.72196i −0.0993480 0.122685i 0.725047 0.688699i \(-0.241818\pi\)
−0.824395 + 0.566015i \(0.808485\pi\)
\(198\) 11.0024 + 0.576611i 0.781905 + 0.0409779i
\(199\) 5.37077 + 6.40063i 0.380724 + 0.453729i 0.922043 0.387089i \(-0.126519\pi\)
−0.541319 + 0.840817i \(0.682075\pi\)
\(200\) −0.807884 + 4.93430i −0.0571260 + 0.348908i
\(201\) 4.97039 8.60897i 0.350585 0.607230i
\(202\) 4.68531 + 3.04268i 0.329657 + 0.214082i
\(203\) 3.26776 + 0.635188i 0.229352 + 0.0445815i
\(204\) −2.65364 + 2.56259i −0.185792 + 0.179417i
\(205\) −3.31991 24.0772i −0.231873 1.68162i
\(206\) 4.14094 6.13920i 0.288513 0.427738i
\(207\) −5.48116 + 0.479540i −0.380967 + 0.0333303i
\(208\) −0.275498 + 1.73942i −0.0191023 + 0.120607i
\(209\) −16.9740 11.1683i −1.17412 0.772526i
\(210\) 1.05533 1.89222i 0.0728246 0.130576i
\(211\) 12.2195 + 19.5552i 0.841223 + 1.34624i 0.936457 + 0.350783i \(0.114085\pi\)
−0.0952334 + 0.995455i \(0.530360\pi\)
\(212\) 1.59177 12.9639i 0.109323 0.890367i
\(213\) 5.59175 + 1.70957i 0.383140 + 0.117138i
\(214\) 1.28311 2.41318i 0.0877116 0.164962i
\(215\) 0.711626 + 8.38538i 0.0485325 + 0.571878i
\(216\) −2.86316 + 3.17987i −0.194814 + 0.216362i
\(217\) 3.82138 4.71901i 0.259412 0.320347i
\(218\) 12.3570 + 1.08110i 0.836924 + 0.0732213i
\(219\) 3.00227 12.0414i 0.202875 0.813686i
\(220\) −10.1070 2.54794i −0.681416 0.171782i
\(221\) 8.09888 + 0.851227i 0.544790 + 0.0572597i
\(222\) −0.809107 + 4.16249i −0.0543037 + 0.279368i
\(223\) 15.5813 4.76368i 1.04340 0.319000i 0.276668 0.960965i \(-0.410770\pi\)
0.766733 + 0.641966i \(0.221881\pi\)
\(224\) 0.210904 + 1.19609i 0.0140916 + 0.0799174i
\(225\) 11.8082 + 0.473943i 0.787215 + 0.0315962i
\(226\) −1.96452 1.64843i −0.130678 0.109652i
\(227\) −16.5301 + 8.42250i −1.09714 + 0.559021i −0.906315 0.422603i \(-0.861116\pi\)
−0.190825 + 0.981624i \(0.561116\pi\)
\(228\) 3.31363 1.05475i 0.219450 0.0698522i
\(229\) −13.2008 + 18.1694i −0.872335 + 1.20067i 0.106151 + 0.994350i \(0.466147\pi\)
−0.978486 + 0.206316i \(0.933853\pi\)
\(230\) 5.17539 + 0.557586i 0.341255 + 0.0367662i
\(231\) 3.74446 + 2.52567i 0.246368 + 0.166177i
\(232\) 2.24519 + 1.57210i 0.147404 + 0.103214i
\(233\) −0.875896 + 2.54379i −0.0573819 + 0.166649i −0.970531 0.240977i \(-0.922532\pi\)
0.913149 + 0.407626i \(0.133643\pi\)
\(234\) 4.15992 + 0.145268i 0.271942 + 0.00949644i
\(235\) 4.93475 + 14.4537i 0.321908 + 0.942858i
\(236\) 6.67816 6.01304i 0.434711 0.391416i
\(237\) −0.117345 + 0.0270912i −0.00762236 + 0.00175976i
\(238\) 5.47222 1.26336i 0.354711 0.0818915i
\(239\) −5.19386 + 4.67657i −0.335963 + 0.302502i −0.819793 0.572660i \(-0.805912\pi\)
0.483831 + 0.875162i \(0.339245\pi\)
\(240\) 1.42747 1.06986i 0.0921427 0.0690590i
\(241\) 8.61951 + 0.301000i 0.555232 + 0.0193891i 0.311142 0.950363i \(-0.399289\pi\)
0.244090 + 0.969753i \(0.421511\pi\)
\(242\) 3.49296 10.1443i 0.224536 0.652101i
\(243\) 12.9182 + 9.04543i 0.828704 + 0.580265i
\(244\) 7.63637 + 5.15079i 0.488868 + 0.329746i
\(245\) 10.7149 6.14912i 0.684552 0.392853i
\(246\) −5.09698 + 7.01538i −0.324971 + 0.447285i
\(247\) −6.48552 4.10686i −0.412664 0.261313i
\(248\) 4.45467 2.26977i 0.282872 0.144130i
\(249\) −0.308309 0.258702i −0.0195383 0.0163946i
\(250\) −10.8738 2.60006i −0.687720 0.164442i
\(251\) 4.87604 + 27.6534i 0.307773 + 1.74547i 0.610157 + 0.792280i \(0.291106\pi\)
−0.302385 + 0.953186i \(0.597783\pi\)
\(252\) 2.74520 0.839293i 0.172932 0.0528705i
\(253\) −2.07053 + 10.6519i −0.130173 + 0.669682i
\(254\) 11.4026 + 1.19846i 0.715462 + 0.0751981i
\(255\) −5.28579 6.33277i −0.331009 0.396574i
\(256\) −0.241922 + 0.970296i −0.0151201 + 0.0606435i
\(257\) −9.10969 0.796994i −0.568247 0.0497151i −0.200588 0.979676i \(-0.564285\pi\)
−0.367659 + 0.929961i \(0.619841\pi\)
\(258\) 1.88952 2.33336i 0.117636 0.145269i
\(259\) 4.31965 4.79746i 0.268410 0.298100i
\(260\) −3.83470 0.895836i −0.237818 0.0555574i
\(261\) 3.04133 5.71990i 0.188253 0.354053i
\(262\) −16.8002 5.13632i −1.03792 0.317323i
\(263\) 0.872865 7.10892i 0.0538232 0.438355i −0.941132 0.338038i \(-0.890237\pi\)
0.994956 0.100316i \(-0.0319855\pi\)
\(264\) 1.97066 + 3.15371i 0.121286 + 0.194097i
\(265\) 28.6547 + 5.64740i 1.76025 + 0.346917i
\(266\) −5.15117 1.22181i −0.315838 0.0749139i
\(267\) 1.60696 10.1460i 0.0983446 0.620923i
\(268\) −12.4131 + 1.08601i −0.758254 + 0.0663386i
\(269\) −7.71930 + 11.4443i −0.470654 + 0.697773i −0.987378 0.158378i \(-0.949373\pi\)
0.516724 + 0.856152i \(0.327151\pi\)
\(270\) −6.62853 6.89991i −0.403400 0.419915i
\(271\) −16.6567 + 16.0852i −1.01182 + 0.977105i −0.999740 0.0228217i \(-0.992735\pi\)
−0.0120826 + 0.999927i \(0.503846\pi\)
\(272\) 4.53912 + 0.882316i 0.275225 + 0.0534983i
\(273\) 1.43111 + 0.929375i 0.0866149 + 0.0562484i
\(274\) 2.91770 5.05360i 0.176265 0.305299i
\(275\) 7.31764 22.1286i 0.441271 1.33440i
\(276\) −1.19375 1.42266i −0.0718556 0.0856341i
\(277\) −29.6451 1.55364i −1.78120 0.0933490i −0.866926 0.498437i \(-0.833908\pi\)
−0.914278 + 0.405088i \(0.867241\pi\)
\(278\) −7.71454 9.52667i −0.462687 0.571371i
\(279\) −6.60785 9.79654i −0.395602 0.586504i
\(280\) −2.70166 + 0.276844i −0.161455 + 0.0165446i
\(281\) 0.102032 0.105657i 0.00608671 0.00630297i −0.716290 0.697803i \(-0.754161\pi\)
0.722376 + 0.691500i \(0.243050\pi\)
\(282\) 2.30287 4.93851i 0.137134 0.294084i
\(283\) −9.95845 11.4559i −0.591969 0.680982i 0.377553 0.925988i \(-0.376766\pi\)
−0.969522 + 0.245006i \(0.921210\pi\)
\(284\) −2.26491 6.97067i −0.134398 0.413633i
\(285\) 1.81619 + 7.56072i 0.107582 + 0.447858i
\(286\) 2.53680 7.80746i 0.150004 0.461665i
\(287\) 12.1521 5.15825i 0.717315 0.304482i
\(288\) 2.34593 + 0.288044i 0.138235 + 0.0169732i
\(289\) 0.609873 4.33947i 0.0358749 0.255263i
\(290\) −3.86936 + 4.75290i −0.227217 + 0.279100i
\(291\) −0.251801 + 7.21063i −0.0147608 + 0.422695i
\(292\) −14.5226 + 5.57469i −0.849869 + 0.326234i
\(293\) 1.37022 + 5.11372i 0.0800489 + 0.298747i 0.994331 0.106332i \(-0.0339107\pi\)
−0.914282 + 0.405079i \(0.867244\pi\)
\(294\) −4.27671 1.06630i −0.249423 0.0621881i
\(295\) 12.3299 + 15.8665i 0.717873 + 0.923785i
\(296\) 4.85573 2.16191i 0.282233 0.125658i
\(297\) 15.5009 12.5524i 0.899452 0.728362i
\(298\) 1.93946 + 15.7957i 0.112350 + 0.915018i
\(299\) −0.711901 + 4.03739i −0.0411703 + 0.233488i
\(300\) 2.15506 + 3.35664i 0.124422 + 0.193796i
\(301\) −4.29532 + 1.56337i −0.247578 + 0.0901112i
\(302\) 0.921164 3.99000i 0.0530070 0.229599i
\(303\) 4.40200 0.697208i 0.252888 0.0400536i
\(304\) −3.46538 2.64407i −0.198753 0.151648i
\(305\) −12.7228 + 16.1973i −0.728506 + 0.927457i
\(306\) 0.762385 10.9026i 0.0435826 0.623261i
\(307\) 0.254111 + 0.118494i 0.0145029 + 0.00676280i 0.429856 0.902897i \(-0.358564\pi\)
−0.415353 + 0.909660i \(0.636342\pi\)
\(308\) −0.0988069 5.66065i −0.00563005 0.322545i
\(309\) −0.822197 5.85023i −0.0467731 0.332808i
\(310\) 4.34133 + 10.3021i 0.246571 + 0.585117i
\(311\) 20.8347 4.42854i 1.18142 0.251120i 0.424996 0.905195i \(-0.360276\pi\)
0.756429 + 0.654076i \(0.226942\pi\)
\(312\) 0.765204 + 1.17831i 0.0433211 + 0.0667087i
\(313\) 4.83907 + 20.9603i 0.273521 + 1.18475i 0.910382 + 0.413769i \(0.135788\pi\)
−0.636861 + 0.770978i \(0.719768\pi\)
\(314\) 8.05217 + 19.9298i 0.454410 + 1.12470i
\(315\) 1.42765 + 6.25816i 0.0804392 + 0.352607i
\(316\) 0.112184 + 0.101011i 0.00631083 + 0.00568230i
\(317\) 13.8561 + 7.68056i 0.778236 + 0.431383i 0.823304 0.567601i \(-0.192128\pi\)
−0.0450679 + 0.998984i \(0.514350\pi\)
\(318\) −5.97669 8.53560i −0.335156 0.478653i
\(319\) −9.19055 8.87522i −0.514572 0.496917i
\(320\) −2.12482 0.696519i −0.118781 0.0389366i
\(321\) −0.527489 2.11564i −0.0294415 0.118084i
\(322\) 0.442294 + 2.79253i 0.0246481 + 0.155622i
\(323\) −11.3710 + 16.6421i −0.632699 + 0.925993i
\(324\) 3.67700i 0.204278i
\(325\) 2.61831 8.40724i 0.145238 0.466350i
\(326\) −3.51421 9.65523i −0.194634 0.534754i
\(327\) 7.90318 5.95547i 0.437047 0.329338i
\(328\) 10.8679 + 0.189699i 0.600078 + 0.0104744i
\(329\) −6.87742 + 4.63888i −0.379164 + 0.255750i
\(330\) −7.35226 + 3.88474i −0.404728 + 0.213848i
\(331\) 15.8619 1.66716i 0.871850 0.0916352i 0.341973 0.939710i \(-0.388905\pi\)
0.529877 + 0.848074i \(0.322238\pi\)
\(332\) −0.0439689 + 0.502567i −0.00241311 + 0.0275819i
\(333\) −6.47035 10.7685i −0.354573 0.590108i
\(334\) −0.393438 + 1.85098i −0.0215280 + 0.101281i
\(335\) −0.413718 27.8596i −0.0226038 1.52213i
\(336\) 0.763536 + 0.596539i 0.0416543 + 0.0325439i
\(337\) −1.92473 1.45039i −0.104847 0.0790079i 0.548094 0.836417i \(-0.315354\pi\)
−0.652941 + 0.757409i \(0.726465\pi\)
\(338\) −2.89404 + 9.46599i −0.157415 + 0.514882i
\(339\) −2.04466 + 0.0714010i −0.111051 + 0.00387797i
\(340\) −2.70213 + 9.98044i −0.146543 + 0.541265i
\(341\) −22.1645 + 7.20170i −1.20028 + 0.389994i
\(342\) −5.20462 + 8.89116i −0.281434 + 0.480779i
\(343\) 10.7565 + 10.7565i 0.580798 + 0.580798i
\(344\) −3.75437 0.262531i −0.202422 0.0141547i
\(345\) 3.36596 2.43215i 0.181217 0.130942i
\(346\) −10.4550 + 21.4359i −0.562063 + 1.15240i
\(347\) −0.252917 + 14.4896i −0.0135773 + 0.777842i 0.914317 + 0.404999i \(0.132728\pi\)
−0.927894 + 0.372843i \(0.878383\pi\)
\(348\) 2.17032 0.266482i 0.116341 0.0142849i
\(349\) 2.96669 1.71282i 0.158803 0.0916850i −0.418492 0.908220i \(-0.637441\pi\)
0.577296 + 0.816535i \(0.304108\pi\)
\(350\) −0.180322 6.07005i −0.00963860 0.324458i
\(351\) 5.77264 4.84382i 0.308121 0.258544i
\(352\) 1.82136 4.29086i 0.0970789 0.228704i
\(353\) 21.8857 + 8.40113i 1.16486 + 0.447147i 0.862505 0.506049i \(-0.168895\pi\)
0.302353 + 0.953196i \(0.402228\pi\)
\(354\) 0.749378 7.12986i 0.0398290 0.378948i
\(355\) 15.9125 3.92344i 0.844546 0.208234i
\(356\) −11.5731 + 5.64459i −0.613375 + 0.299163i
\(357\) 2.56989 3.67018i 0.136013 0.194246i
\(358\) −21.1295 + 4.10717i −1.11673 + 0.217071i
\(359\) 1.63869 + 0.662074i 0.0864867 + 0.0349429i 0.417442 0.908703i \(-0.362927\pi\)
−0.330956 + 0.943646i \(0.607371\pi\)
\(360\) −1.02194 + 5.18531i −0.0538611 + 0.273290i
\(361\) 16.5672 9.30206i 0.871957 0.489582i
\(362\) −12.2322 6.23262i −0.642910 0.327579i
\(363\) −3.34436 7.87883i −0.175534 0.413531i
\(364\) −0.0746480 2.13764i −0.00391262 0.112043i
\(365\) −10.0831 33.2902i −0.527775 1.74249i
\(366\) 7.27694 1.02271i 0.380372 0.0534577i
\(367\) −13.3918 + 24.1594i −0.699044 + 1.26111i 0.256581 + 0.966523i \(0.417404\pi\)
−0.955625 + 0.294586i \(0.904818\pi\)
\(368\) −0.602505 + 2.24858i −0.0314077 + 0.117215i
\(369\) −2.68540 25.5499i −0.139797 1.33007i
\(370\) 4.03590 + 11.1790i 0.209817 + 0.581171i
\(371\) 1.10658 + 15.8249i 0.0574510 + 0.821588i
\(372\) 1.42938 3.72365i 0.0741097 0.193062i
\(373\) −3.53314 + 5.44056i −0.182939 + 0.281702i −0.918228 0.396052i \(-0.870380\pi\)
0.735289 + 0.677754i \(0.237047\pi\)
\(374\) −20.2549 7.37217i −1.04735 0.381206i
\(375\) −7.83467 + 4.26316i −0.404581 + 0.220148i
\(376\) −6.72649 + 1.18606i −0.346892 + 0.0611665i
\(377\) −3.53022 3.29199i −0.181816 0.169546i
\(378\) 2.67663 4.45466i 0.137671 0.229123i
\(379\) −7.55124 5.48630i −0.387881 0.281812i 0.376705 0.926333i \(-0.377057\pi\)
−0.764587 + 0.644521i \(0.777057\pi\)
\(380\) 6.45749 7.30075i 0.331262 0.374520i
\(381\) 7.39997 5.37639i 0.379112 0.275441i
\(382\) −1.47476 16.8566i −0.0754554 0.862459i
\(383\) −5.64041 29.0174i −0.288211 1.48272i −0.787517 0.616293i \(-0.788634\pi\)
0.499305 0.866426i \(-0.333589\pi\)
\(384\) 0.374535 + 0.704398i 0.0191129 + 0.0359462i
\(385\) 12.6404 + 0.695469i 0.644214 + 0.0354444i
\(386\) −8.06681 + 10.3251i −0.410590 + 0.525531i
\(387\) 0.465544 + 8.88310i 0.0236649 + 0.451554i
\(388\) 7.58484 4.92565i 0.385062 0.250062i
\(389\) 25.1696 10.1692i 1.27615 0.515598i 0.366286 0.930502i \(-0.380629\pi\)
0.909865 + 0.414904i \(0.136185\pi\)
\(390\) −2.75168 + 1.51593i −0.139337 + 0.0767619i
\(391\) 10.5292 + 2.23804i 0.532483 + 0.113183i
\(392\) 1.97994 + 5.15792i 0.100002 + 0.260514i
\(393\) −12.7021 + 5.92309i −0.640737 + 0.298781i
\(394\) 0.971320 + 1.99150i 0.0489344 + 0.100330i
\(395\) −0.243425 + 0.233851i −0.0122480 + 0.0117663i
\(396\) −10.5907 3.03683i −0.532202 0.152606i
\(397\) −8.54474 5.13420i −0.428848 0.257678i 0.284239 0.958753i \(-0.408259\pi\)
−0.713087 + 0.701076i \(0.752704\pi\)
\(398\) −3.79329 7.44475i −0.190140 0.373171i
\(399\) −3.70618 + 2.02542i −0.185541 + 0.101398i
\(400\) 1.89715 4.62610i 0.0948577 0.231305i
\(401\) −16.6836 + 19.8827i −0.833139 + 0.992896i 0.166837 + 0.985984i \(0.446645\pi\)
−0.999976 + 0.00691182i \(0.997800\pi\)
\(402\) −6.77960 + 7.27023i −0.338136 + 0.362606i
\(403\) −8.32510 + 2.86656i −0.414703 + 0.142794i
\(404\) −3.88077 4.01866i −0.193076 0.199936i
\(405\) 8.20046 + 0.594897i 0.407484 + 0.0295607i
\(406\) −3.04112 1.35399i −0.150928 0.0671976i
\(407\) −23.9324 + 6.41266i −1.18628 + 0.317864i
\(408\) 3.16209 1.89997i 0.156547 0.0940628i
\(409\) 8.07776 + 5.04755i 0.399420 + 0.249585i 0.714726 0.699405i \(-0.246552\pi\)
−0.315306 + 0.948990i \(0.602107\pi\)
\(410\) −2.18137 + 24.2069i −0.107730 + 1.19549i
\(411\) −0.967905 4.55363i −0.0477432 0.224614i
\(412\) −5.41583 + 5.05034i −0.266819 + 0.248812i
\(413\) −6.56841 + 8.71658i −0.323210 + 0.428915i
\(414\) 5.44855 + 0.765744i 0.267782 + 0.0376343i
\(415\) −1.11371 0.179370i −0.0546701 0.00880490i
\(416\) 0.659722 1.63287i 0.0323455 0.0800580i
\(417\) −9.65921 1.52987i −0.473013 0.0749180i
\(418\) 14.0267 + 14.7004i 0.686066 + 0.719018i
\(419\) −6.90122 9.49872i −0.337147 0.464043i 0.606459 0.795115i \(-0.292590\pi\)
−0.943605 + 0.331072i \(0.892590\pi\)
\(420\) −1.45394 + 1.60633i −0.0709449 + 0.0783808i
\(421\) 1.31364 4.58121i 0.0640230 0.223275i −0.922746 0.385410i \(-0.874060\pi\)
0.986769 + 0.162135i \(0.0518380\pi\)
\(422\) −7.50732 21.8028i −0.365450 1.06134i
\(423\) 4.71994 + 15.4382i 0.229491 + 0.750633i
\(424\) −4.46723 + 12.2736i −0.216948 + 0.596059i
\(425\) −21.8213 7.64103i −1.05849 0.370644i
\(426\) −5.06386 2.92362i −0.245345 0.141650i
\(427\) −10.2980 4.37124i −0.498355 0.211539i
\(428\) −1.79307 + 2.06269i −0.0866714 + 0.0997040i
\(429\) −2.66379 5.98297i −0.128609 0.288860i
\(430\) 1.19291 8.33054i 0.0575274 0.401735i
\(431\) −6.20422 21.6367i −0.298847 1.04220i −0.957184 0.289479i \(-0.906518\pi\)
0.658338 0.752723i \(-0.271260\pi\)
\(432\) 3.50509 2.45429i 0.168639 0.118082i
\(433\) −29.7410 + 0.519131i −1.42926 + 0.0249478i −0.726836 0.686811i \(-0.759010\pi\)
−0.702424 + 0.711759i \(0.747899\pi\)
\(434\) −4.78498 + 3.73844i −0.229687 + 0.179451i
\(435\) 0.243176 + 4.88337i 0.0116594 + 0.234140i
\(436\) −11.7971 3.83312i −0.564980 0.183573i
\(437\) −7.95842 6.29498i −0.380703 0.301130i
\(438\) −5.63406 + 11.0575i −0.269206 + 0.528346i
\(439\) −16.1293 + 10.0787i −0.769808 + 0.481029i −0.857098 0.515154i \(-0.827735\pi\)
0.0872899 + 0.996183i \(0.472179\pi\)
\(440\) 9.27483 + 4.75623i 0.442160 + 0.226744i
\(441\) 11.5298 6.13050i 0.549038 0.291929i
\(442\) −7.69982 2.65126i −0.366243 0.126108i
\(443\) 0.116310 + 0.249427i 0.00552604 + 0.0118506i 0.909051 0.416684i \(-0.136808\pi\)
−0.903525 + 0.428535i \(0.859030\pi\)
\(444\) 1.72473 3.87380i 0.0818519 0.183842i
\(445\) −10.7162 26.7237i −0.507997 1.26683i
\(446\) −16.2536 + 1.13656i −0.769628 + 0.0538177i
\(447\) 9.58187 + 8.32939i 0.453207 + 0.393967i
\(448\) 0.0635644 1.21288i 0.00300314 0.0573033i
\(449\) 14.7230 + 25.5010i 0.694823 + 1.20347i 0.970240 + 0.242144i \(0.0778506\pi\)
−0.275418 + 0.961325i \(0.588816\pi\)
\(450\) −11.3990 3.11807i −0.537353 0.146987i
\(451\) −49.8977 8.79831i −2.34959 0.414296i
\(452\) 1.54335 + 2.04810i 0.0725932 + 0.0963344i
\(453\) −1.58381 2.85727i −0.0744139 0.134246i
\(454\) 18.0011 4.48817i 0.844832 0.210640i
\(455\) 4.77946 + 0.179366i 0.224064 + 0.00840879i
\(456\) −3.46596 + 0.282309i −0.162309 + 0.0132203i
\(457\) −27.6960 + 27.6960i −1.29557 + 1.29557i −0.364274 + 0.931292i \(0.618683\pi\)
−0.931292 + 0.364274i \(0.881317\pi\)
\(458\) 16.9497 14.7342i 0.792008 0.688482i
\(459\) −12.1816 15.5917i −0.568586 0.727757i
\(460\) −4.91732 1.70751i −0.229271 0.0796128i
\(461\) −16.6899 8.87418i −0.777327 0.413312i 0.0328778 0.999459i \(-0.489533\pi\)
−0.810204 + 0.586147i \(0.800644\pi\)
\(462\) −3.08034 3.30326i −0.143310 0.153682i
\(463\) −13.3426 + 0.699255i −0.620082 + 0.0324971i −0.359791 0.933033i \(-0.617152\pi\)
−0.260292 + 0.965530i \(0.583819\pi\)
\(464\) −1.83400 2.03687i −0.0851415 0.0945592i
\(465\) 8.07326 + 3.79025i 0.374389 + 0.175769i
\(466\) 1.42567 2.28156i 0.0660431 0.105691i
\(467\) 5.29575 + 4.28841i 0.245058 + 0.198444i 0.743978 0.668204i \(-0.232937\pi\)
−0.498920 + 0.866648i \(0.666270\pi\)
\(468\) −4.02062 1.07732i −0.185853 0.0497993i
\(469\) 14.5477 4.17148i 0.671749 0.192621i
\(470\) −1.55689 15.1934i −0.0718141 0.700818i
\(471\) 15.4128 + 7.51731i 0.710183 + 0.346379i
\(472\) −7.85964 + 4.35667i −0.361769 + 0.200532i
\(473\) 17.0938 + 3.94641i 0.785973 + 0.181456i
\(474\) 0.120431 0.00553160
\(475\) 15.2374 + 15.5827i 0.699141 + 0.714984i
\(476\) −5.61616 −0.257416
\(477\) 30.0798 + 6.94446i 1.37726 + 0.317965i
\(478\) 6.11274 3.38834i 0.279590 0.154979i
\(479\) 32.0607 + 15.6370i 1.46489 + 0.714474i 0.986513 0.163681i \(-0.0523367\pi\)
0.478376 + 0.878155i \(0.341226\pi\)
\(480\) −1.63155 + 0.721327i −0.0744697 + 0.0329239i
\(481\) −8.99810 + 2.58016i −0.410278 + 0.117645i
\(482\) −8.33089 2.23225i −0.379461 0.101676i
\(483\) 1.75293 + 1.41949i 0.0797610 + 0.0645892i
\(484\) −5.68541 + 9.09856i −0.258428 + 0.413571i
\(485\) 9.75808 + 17.7127i 0.443092 + 0.804291i
\(486\) −10.5523 11.7196i −0.478664 0.531610i
\(487\) −4.51923 + 0.236843i −0.204786 + 0.0107324i −0.154453 0.988000i \(-0.549362\pi\)
−0.0503327 + 0.998733i \(0.516028\pi\)
\(488\) −6.28197 6.73659i −0.284371 0.304951i
\(489\) −7.23760 3.84830i −0.327296 0.174026i
\(490\) −11.8236 + 3.58118i −0.534134 + 0.161781i
\(491\) −2.30500 2.95027i −0.104023 0.133144i 0.733182 0.680032i \(-0.238034\pi\)
−0.837205 + 0.546889i \(0.815812\pi\)
\(492\) 6.54446 5.68901i 0.295047 0.256480i
\(493\) −8.96189 + 8.96189i −0.403623 + 0.403623i
\(494\) 5.39546 + 5.46053i 0.242753 + 0.245681i
\(495\) 8.48621 23.1281i 0.381427 1.03953i
\(496\) −4.85108 + 1.20951i −0.217820 + 0.0543086i
\(497\) 4.31572 + 7.78577i 0.193587 + 0.349239i
\(498\) 0.242212 + 0.321426i 0.0108538 + 0.0144035i
\(499\) −34.2629 6.04148i −1.53382 0.270454i −0.657973 0.753042i \(-0.728586\pi\)
−0.875848 + 0.482588i \(0.839697\pi\)
\(500\) 10.0102 + 4.97950i 0.447671 + 0.222690i
\(501\) 0.754832 + 1.30741i 0.0337234 + 0.0584107i
\(502\) 1.46959 28.0415i 0.0655911 1.25155i
\(503\) 4.44207 + 3.86143i 0.198062 + 0.172173i 0.749418 0.662098i \(-0.230334\pi\)
−0.551355 + 0.834270i \(0.685889\pi\)
\(504\) −2.86364 + 0.200246i −0.127557 + 0.00891964i
\(505\) 9.59031 8.00475i 0.426763 0.356207i
\(506\) 4.41363 9.91317i 0.196210 0.440694i
\(507\) 3.33735 + 7.15696i 0.148217 + 0.317852i
\(508\) −10.8408 3.73277i −0.480981 0.165615i
\(509\) −24.4490 + 12.9998i −1.08368 + 0.576205i −0.912517 0.409038i \(-0.865864\pi\)
−0.171166 + 0.985242i \(0.554753\pi\)
\(510\) 3.72575 + 7.35951i 0.164979 + 0.325885i
\(511\) 16.0223 10.0119i 0.708787 0.442899i
\(512\) 0.453990 0.891007i 0.0200637 0.0393773i
\(513\) 3.76842 + 18.2668i 0.166380 + 0.806497i
\(514\) 8.69692 + 2.82580i 0.383605 + 0.124641i
\(515\) −10.3871 12.8955i −0.457710 0.568244i
\(516\) −2.36598 + 1.84851i −0.104157 + 0.0813760i
\(517\) 31.8338 0.555662i 1.40005 0.0244380i
\(518\) −5.28813 + 3.70279i −0.232347 + 0.162691i
\(519\) 5.24448 + 18.2897i 0.230207 + 0.802827i
\(520\) 3.53490 + 1.73550i 0.155016 + 0.0761065i
\(521\) 2.90827 + 6.53208i 0.127414 + 0.286176i 0.965977 0.258629i \(-0.0832706\pi\)
−0.838563 + 0.544804i \(0.816604\pi\)
\(522\) −4.25008 + 4.88915i −0.186021 + 0.213992i
\(523\) −9.62488 4.08552i −0.420867 0.178647i 0.169951 0.985453i \(-0.445639\pi\)
−0.590818 + 0.806805i \(0.701195\pi\)
\(524\) 15.2142 + 8.78390i 0.664633 + 0.383726i
\(525\) −3.34722 3.50247i −0.146084 0.152860i
\(526\) −2.44965 + 6.73036i −0.106810 + 0.293458i
\(527\) 6.75920 + 22.1083i 0.294435 + 0.963054i
\(528\) −1.21072 3.51618i −0.0526898 0.153022i
\(529\) 4.84595 16.8998i 0.210693 0.734775i
\(530\) −26.6499 11.9486i −1.15760 0.519013i
\(531\) 12.4844 + 17.1832i 0.541775 + 0.745689i
\(532\) 4.74429 + 2.34925i 0.205691 + 0.101853i
\(533\) −18.9067 2.99453i −0.818940 0.129707i
\(534\) −3.84812 + 9.52444i −0.166525 + 0.412163i
\(535\) −4.31013 4.33264i −0.186343 0.187316i
\(536\) 12.3393 + 1.73418i 0.532976 + 0.0749050i
\(537\) −10.3345 + 13.7144i −0.445967 + 0.591818i
\(538\) 10.0959 9.41455i 0.435264 0.405890i
\(539\) −5.35451 25.1910i −0.230635 1.08505i
\(540\) 4.90650 + 8.21417i 0.211142 + 0.353481i
\(541\) −12.1287 7.57886i −0.521454 0.325841i 0.243526 0.969894i \(-0.421696\pi\)
−0.764980 + 0.644054i \(0.777251\pi\)
\(542\) 19.8482 11.9260i 0.852552 0.512265i
\(543\) −10.5791 + 2.83467i −0.453995 + 0.121648i
\(544\) −4.22431 1.88078i −0.181116 0.0806379i
\(545\) 10.4573 25.6899i 0.447941 1.10043i
\(546\) −1.18537 1.22749i −0.0507291 0.0525315i
\(547\) −12.3589 + 4.25550i −0.528428 + 0.181952i −0.576813 0.816877i \(-0.695704\pi\)
0.0483849 + 0.998829i \(0.484593\pi\)
\(548\) −3.97973 + 4.26774i −0.170006 + 0.182309i
\(549\) −13.9941 + 16.6775i −0.597253 + 0.711778i
\(550\) −12.1079 + 19.9153i −0.516284 + 0.849191i
\(551\) 11.3194 3.82185i 0.482223 0.162816i
\(552\) 0.843129 + 1.65473i 0.0358860 + 0.0704302i
\(553\) −0.157158 0.0944300i −0.00668304 0.00401557i
\(554\) 28.5358 + 8.18252i 1.21237 + 0.347642i
\(555\) 8.36034 + 4.47324i 0.354877 + 0.189878i
\(556\) 5.37378 + 11.0179i 0.227899 + 0.467263i
\(557\) 18.5951 8.67105i 0.787901 0.367404i 0.0133460 0.999911i \(-0.495752\pi\)
0.774555 + 0.632507i \(0.217974\pi\)
\(558\) 4.23475 + 11.0319i 0.179271 + 0.467018i
\(559\) 6.48315 + 1.37804i 0.274208 + 0.0582847i
\(560\) 2.69469 + 0.337993i 0.113872 + 0.0142828i
\(561\) −15.9438 + 6.44172i −0.673149 + 0.271970i
\(562\) −0.123184 + 0.0799969i −0.00519622 + 0.00337447i
\(563\) 1.27213 + 24.2738i 0.0536141 + 1.02302i 0.884490 + 0.466560i \(0.154507\pi\)
−0.830876 + 0.556458i \(0.812160\pi\)
\(564\) −3.35477 + 4.29391i −0.141261 + 0.180806i
\(565\) −4.81738 + 3.11064i −0.202669 + 0.130865i
\(566\) 7.12621 + 13.4024i 0.299537 + 0.563347i
\(567\) 0.852130 + 4.38383i 0.0357861 + 0.184104i
\(568\) 0.638799 + 7.30150i 0.0268034 + 0.306364i
\(569\) 2.51897 1.83014i 0.105601 0.0767233i −0.533732 0.845654i \(-0.679211\pi\)
0.639332 + 0.768931i \(0.279211\pi\)
\(570\) −0.0688529 7.77549i −0.00288393 0.325680i
\(571\) −17.0782 12.4081i −0.714702 0.519261i 0.169985 0.985447i \(-0.445628\pi\)
−0.884687 + 0.466185i \(0.845628\pi\)
\(572\) −4.22808 + 7.03670i −0.176785 + 0.294219i
\(573\) −9.87271 9.20645i −0.412438 0.384605i
\(574\) −13.0010 + 2.29242i −0.542651 + 0.0956839i
\(575\) 4.60366 10.6904i 0.191986 0.445820i
\(576\) −2.22101 0.808381i −0.0925420 0.0336825i
\(577\) −10.7300 + 16.5228i −0.446696 + 0.687852i −0.988255 0.152811i \(-0.951168\pi\)
0.541559 + 0.840663i \(0.317834\pi\)
\(578\) −1.57041 + 4.09106i −0.0653205 + 0.170166i
\(579\) 0.729168 + 10.4276i 0.0303032 + 0.433356i
\(580\) 4.83936 3.76067i 0.200943 0.156153i
\(581\) −0.0640469 0.609366i −0.00265711 0.0252808i
\(582\) 1.86739 6.96918i 0.0774057 0.288882i
\(583\) 29.5172 53.2505i 1.22248 2.20541i
\(584\) 15.4044 2.16494i 0.637438 0.0895860i
\(585\) 3.05314 8.79252i 0.126232 0.363526i
\(586\) −0.184762 5.29089i −0.00763244 0.218565i
\(587\) 9.64774 + 22.7286i 0.398205 + 0.938111i 0.991135 + 0.132858i \(0.0424154\pi\)
−0.592930 + 0.805254i \(0.702029\pi\)
\(588\) 3.92723 + 2.00103i 0.161956 + 0.0825209i
\(589\) 3.53809 21.5036i 0.145784 0.886040i
\(590\) −8.44467 18.2335i −0.347662 0.750661i
\(591\) 1.63896 + 0.662185i 0.0674180 + 0.0272386i
\(592\) −5.21760 + 1.01420i −0.214442 + 0.0416833i
\(593\) −27.1486 + 38.7722i −1.11486 + 1.59218i −0.364427 + 0.931232i \(0.618735\pi\)
−0.750430 + 0.660950i \(0.770154\pi\)
\(594\) −17.9272 + 8.74370i −0.735564 + 0.358758i
\(595\) 0.908632 12.5252i 0.0372503 0.513483i
\(596\) 1.66350 15.8271i 0.0681394 0.648303i
\(597\) −6.22306 2.38881i −0.254693 0.0977674i
\(598\) 1.60187 3.77377i 0.0655054 0.154321i
\(599\) −30.7212 + 25.7781i −1.25523 + 1.05327i −0.259060 + 0.965861i \(0.583413\pi\)
−0.996173 + 0.0874044i \(0.972143\pi\)
\(600\) −1.34474 3.75540i −0.0548989 0.153313i
\(601\) −31.1597 + 17.9901i −1.27103 + 0.733831i −0.975182 0.221404i \(-0.928936\pi\)
−0.295850 + 0.955235i \(0.595603\pi\)
\(602\) 4.53692 0.557063i 0.184911 0.0227042i
\(603\) 0.513993 29.4466i 0.0209314 1.19916i
\(604\) −1.79511 + 3.68052i −0.0730420 + 0.149758i
\(605\) −19.3718 14.1517i −0.787577 0.575348i
\(606\) −4.44602 0.310896i −0.180607 0.0126293i
\(607\) 27.9386 + 27.9386i 1.13399 + 1.13399i 0.989507 + 0.144484i \(0.0461522\pi\)
0.144484 + 0.989507i \(0.453848\pi\)
\(608\) 2.78178 + 3.35584i 0.112816 + 0.136097i
\(609\) −2.52577 + 0.820671i −0.102349 + 0.0332553i
\(610\) 16.0403 12.9202i 0.649454 0.523123i
\(611\) 12.0215 0.419799i 0.486337 0.0169833i
\(612\) −3.19540 + 10.4517i −0.129166 + 0.422484i
\(613\) −3.31196 2.49574i −0.133769 0.100802i 0.532817 0.846231i \(-0.321134\pi\)
−0.666585 + 0.745429i \(0.732245\pi\)
\(614\) −0.220943 0.172619i −0.00891651 0.00696634i
\(615\) 11.6289 + 15.5159i 0.468921 + 0.625662i
\(616\) −1.17709 + 5.53779i −0.0474265 + 0.223124i
\(617\) 4.09523 + 6.81561i 0.164868 + 0.274386i 0.928551 0.371205i \(-0.121055\pi\)
−0.763683 + 0.645591i \(0.776611\pi\)
\(618\) −0.514892 + 5.88525i −0.0207120 + 0.236739i
\(619\) 19.8956 2.09111i 0.799670 0.0840487i 0.304126 0.952632i \(-0.401636\pi\)
0.495544 + 0.868583i \(0.334969\pi\)
\(620\) −1.91261 11.0146i −0.0768122 0.442357i
\(621\) 8.25798 5.57008i 0.331381 0.223519i
\(622\) −21.2969 0.371738i −0.853927 0.0149053i
\(623\) 12.4897 9.41169i 0.500391 0.377071i
\(624\) −0.480530 1.32024i −0.0192366 0.0528521i
\(625\) −12.7249 + 21.5192i −0.508994 + 0.860770i
\(626\) 21.5117i 0.859779i
\(627\) 16.1633 + 1.22765i 0.645499 + 0.0490275i
\(628\) −3.36256 21.2304i −0.134181 0.847183i
\(629\) 5.94599 + 23.8481i 0.237082 + 0.950885i
\(630\) 0.0167167 6.41892i 0.000666008 0.255736i
\(631\) −8.94893 8.64188i −0.356251 0.344028i 0.494899 0.868951i \(-0.335205\pi\)
−0.851150 + 0.524923i \(0.824094\pi\)
\(632\) −0.0865861 0.123658i −0.00344421 0.00491884i
\(633\) −16.0896 8.91861i −0.639504 0.354483i
\(634\) −11.7732 10.6007i −0.467574 0.421006i
\(635\) 10.0788 23.5732i 0.399964 0.935474i
\(636\) 3.90342 + 9.66129i 0.154781 + 0.383095i
\(637\) −2.18875 9.48051i −0.0867214 0.375632i
\(638\) 6.95851 + 10.7152i 0.275490 + 0.424218i
\(639\) 16.9448 3.60173i 0.670326 0.142482i
\(640\) 1.91368 + 1.15665i 0.0756448 + 0.0457205i
\(641\) −0.115407 0.821166i −0.00455832 0.0324341i 0.987856 0.155371i \(-0.0496575\pi\)
−0.992414 + 0.122937i \(0.960769\pi\)
\(642\) 0.0380534 + 2.18008i 0.00150185 + 0.0860408i
\(643\) 18.5259 + 8.63877i 0.730590 + 0.340680i 0.752064 0.659090i \(-0.229058\pi\)
−0.0214744 + 0.999769i \(0.506836\pi\)
\(644\) 0.197225 2.82045i 0.00777177 0.111141i
\(645\) −3.73977 5.57570i −0.147253 0.219543i
\(646\) 14.8232 13.6577i 0.583212 0.537354i
\(647\) 38.8418 6.15193i 1.52703 0.241857i 0.664277 0.747487i \(-0.268740\pi\)
0.862751 + 0.505629i \(0.168740\pi\)
\(648\) −0.827144 + 3.58275i −0.0324933 + 0.140744i
\(649\) 39.3629 14.3269i 1.54513 0.562381i
\(650\) −4.44242 + 7.60277i −0.174246 + 0.298205i
\(651\) −0.841205 + 4.77071i −0.0329694 + 0.186979i
\(652\) 1.25219 + 10.1983i 0.0490396 + 0.399396i
\(653\) −16.9025 + 13.6874i −0.661448 + 0.535630i −0.900214 0.435447i \(-0.856590\pi\)
0.238767 + 0.971077i \(0.423257\pi\)
\(654\) −9.04031 + 4.02500i −0.353504 + 0.157390i
\(655\) −22.0514 + 32.5096i −0.861619 + 1.27025i
\(656\) −10.5467 2.62958i −0.411778 0.102668i
\(657\) −9.51594 35.5140i −0.371252 1.38553i
\(658\) 7.74467 2.97290i 0.301919 0.115896i
\(659\) 0.403176 11.5454i 0.0157055 0.449746i −0.965910 0.258878i \(-0.916647\pi\)
0.981616 0.190869i \(-0.0611305\pi\)
\(660\) 8.03770 2.13127i 0.312867 0.0829597i
\(661\) 3.78511 26.9325i 0.147224 1.04755i −0.766799 0.641887i \(-0.778152\pi\)
0.914023 0.405663i \(-0.132959\pi\)
\(662\) −15.8304 1.94373i −0.615267 0.0755452i
\(663\) −5.98026 + 2.53847i −0.232254 + 0.0985860i
\(664\) 0.155895 0.479795i 0.00604990 0.0186197i
\(665\) −6.00690 + 10.2007i −0.232937 + 0.395565i
\(666\) 3.88213 + 11.9480i 0.150430 + 0.462975i
\(667\) −4.18597 4.81541i −0.162082 0.186454i
\(668\) 0.799734 1.71503i 0.0309426 0.0663567i
\(669\) −9.02947 + 9.35029i −0.349099 + 0.361503i
\(670\) −5.86393 + 27.2386i −0.226543 + 1.05232i
\(671\) 24.0100 + 35.5963i 0.926896 + 1.37418i
\(672\) −0.609774 0.753008i −0.0235225 0.0290479i
\(673\) 18.8507 + 0.987923i 0.726641 + 0.0380816i 0.412070 0.911152i \(-0.364806\pi\)
0.314571 + 0.949234i \(0.398139\pi\)
\(674\) 1.54914 + 1.84619i 0.0596705 + 0.0711126i
\(675\) −19.1131 + 9.61355i −0.735664 + 0.370026i
\(676\) 4.94925 8.57236i 0.190356 0.329706i
\(677\) −29.8583 19.3902i −1.14755 0.745227i −0.176545 0.984293i \(-0.556492\pi\)
−0.971003 + 0.239066i \(0.923159\pi\)
\(678\) 2.00832 + 0.390377i 0.0771289 + 0.0149923i
\(679\) −7.90138 + 7.63028i −0.303227 + 0.292823i
\(680\) 4.87798 9.11679i 0.187062 0.349613i
\(681\) 8.27635 12.2702i 0.317150 0.470195i
\(682\) 23.2165 2.03118i 0.889006 0.0777779i
\(683\) 1.30874 8.26303i 0.0500774 0.316176i −0.949916 0.312506i \(-0.898832\pi\)
0.999993 0.00367045i \(-0.00116834\pi\)
\(684\) 7.07130 7.49249i 0.270378 0.286483i
\(685\) −8.87407 9.56610i −0.339061 0.365502i
\(686\) −8.06115 12.9005i −0.307776 0.492545i
\(687\) 2.18353 17.7835i 0.0833070 0.678481i
\(688\) 3.59909 + 1.10035i 0.137214 + 0.0419505i
\(689\) 10.7989 20.3098i 0.411407 0.773743i
\(690\) −3.82681 + 1.61264i −0.145684 + 0.0613920i
\(691\) −17.8328 + 19.8053i −0.678390 + 0.753429i −0.979781 0.200072i \(-0.935882\pi\)
0.301391 + 0.953501i \(0.402549\pi\)
\(692\) 15.0090 18.5346i 0.570558 0.704580i
\(693\) 13.3303 + 1.16625i 0.506377 + 0.0443023i
\(694\) 3.50588 14.0613i 0.133082 0.533761i
\(695\) −25.4416 + 10.2021i −0.965055 + 0.386987i
\(696\) −2.17464 0.228564i −0.0824294 0.00866368i
\(697\) −9.59036 + 49.3381i −0.363261 + 1.86881i
\(698\) −3.27595 + 1.00156i −0.123997 + 0.0379096i
\(699\) −0.372704 2.11371i −0.0140970 0.0799478i
\(700\) −1.18976 + 5.95504i −0.0449689 + 0.225079i
\(701\) −0.309745 0.259907i −0.0116989 0.00981654i 0.636919 0.770930i \(-0.280208\pi\)
−0.648618 + 0.761114i \(0.724653\pi\)
\(702\) −6.71431 + 3.42111i −0.253415 + 0.129122i
\(703\) 4.95279 22.6331i 0.186798 0.853623i
\(704\) −2.73991 + 3.77117i −0.103264 + 0.142131i
\(705\) −9.03354 8.17653i −0.340223 0.307946i
\(706\) −19.4349 13.1090i −0.731442 0.493364i
\(707\) 5.55809 + 3.89182i 0.209033 + 0.146367i
\(708\) −2.33404 + 6.77855i −0.0877186 + 0.254753i
\(709\) 40.8526 + 1.42661i 1.53425 + 0.0535773i 0.789495 0.613757i \(-0.210343\pi\)
0.744758 + 0.667335i \(0.232565\pi\)
\(710\) −16.3872 + 0.243352i −0.615001 + 0.00913284i
\(711\) −0.265152 + 0.238744i −0.00994397 + 0.00895359i
\(712\) 12.5463 2.89653i 0.470191 0.108552i
\(713\) −11.3402 + 2.61810i −0.424696 + 0.0980487i
\(714\) −3.32963 + 2.99801i −0.124608 + 0.112198i
\(715\) −15.0092 10.5679i −0.561314 0.395219i
\(716\) 21.5119 + 0.751212i 0.803938 + 0.0280741i
\(717\) 1.81527 5.27193i 0.0677925 0.196884i
\(718\) −1.44776 1.01373i −0.0540298 0.0378321i
\(719\) 12.3771 + 8.34844i 0.461587 + 0.311344i 0.767881 0.640593i \(-0.221311\pi\)
−0.306294 + 0.951937i \(0.599089\pi\)
\(720\) 2.16219 4.82252i 0.0805801 0.179725i
\(721\) 5.28652 7.27627i 0.196880 0.270983i
\(722\) −18.2351 + 5.33684i −0.678639 + 0.198617i
\(723\) −6.13072 + 3.12376i −0.228004 + 0.116174i
\(724\) 10.5167 + 8.82452i 0.390848 + 0.327961i
\(725\) 7.60411 + 11.4012i 0.282410 + 0.423430i
\(726\) 1.48630 + 8.42921i 0.0551617 + 0.312837i
\(727\) −10.5026 + 3.21098i −0.389521 + 0.119089i −0.481005 0.876718i \(-0.659728\pi\)
0.0914836 + 0.995807i \(0.470839\pi\)
\(728\) −0.408130 + 2.09964i −0.0151263 + 0.0778180i
\(729\) −1.54169 0.162038i −0.0570997 0.00600142i
\(730\) 2.33602 + 34.7052i 0.0864599 + 1.28450i
\(731\) 4.21014 16.8860i 0.155718 0.624550i
\(732\) −7.32049 0.640460i −0.270573 0.0236721i
\(733\) 8.56385 10.5755i 0.316313 0.390614i −0.594048 0.804430i \(-0.702471\pi\)
0.910361 + 0.413816i \(0.135804\pi\)
\(734\) 18.4832 20.5277i 0.682227 0.757690i
\(735\) −5.09808 + 8.43480i −0.188046 + 0.311122i
\(736\) 1.09288 2.05541i 0.0402842 0.0757635i
\(737\) −55.5459 16.9821i −2.04606 0.625543i
\(738\) −3.13090 + 25.4991i −0.115250 + 0.938637i
\(739\) −16.1800 25.8934i −0.595190 0.952503i −0.999286 0.0377862i \(-0.987969\pi\)
0.404096 0.914717i \(-0.367586\pi\)
\(740\) −1.41772 11.8004i −0.0521165 0.433792i
\(741\) 6.11372 + 0.357165i 0.224593 + 0.0131208i
\(742\) 2.48161 15.6682i 0.0911026 0.575199i
\(743\) 12.7402 1.11462i 0.467392 0.0408915i 0.148972 0.988841i \(-0.452403\pi\)
0.318420 + 0.947950i \(0.396848\pi\)
\(744\) −2.23038 + 3.30668i −0.0817698 + 0.121229i
\(745\) 35.0286 + 6.27059i 1.28335 + 0.229737i
\(746\) 4.66645 4.50634i 0.170851 0.164989i
\(747\) −1.17047 0.227516i −0.0428253 0.00832439i
\(748\) 18.0774 + 11.7396i 0.660974 + 0.429241i
\(749\) 1.65973 2.87475i 0.0606454 0.105041i
\(750\) 8.59287 2.39147i 0.313767 0.0873243i
\(751\) −19.8236 23.6248i −0.723373 0.862082i 0.271581 0.962416i \(-0.412453\pi\)
−0.994954 + 0.100334i \(0.968009\pi\)
\(752\) 6.82090 + 0.357468i 0.248733 + 0.0130355i
\(753\) −14.0978 17.4094i −0.513753 0.634432i
\(754\) 2.69921 + 4.00174i 0.0982994 + 0.145735i
\(755\) −7.91789 4.59893i −0.288162 0.167372i
\(756\) −3.61011 + 3.73838i −0.131298 + 0.135964i
\(757\) −3.56907 + 7.65389i −0.129720 + 0.278185i −0.960431 0.278519i \(-0.910157\pi\)
0.830711 + 0.556704i \(0.187934\pi\)
\(758\) 6.12356 + 7.04435i 0.222418 + 0.255862i
\(759\) −2.67515 8.23326i −0.0971017 0.298848i
\(760\) −7.93429 + 5.66101i −0.287807 + 0.205346i
\(761\) −3.79526 + 11.6806i −0.137578 + 0.423422i −0.995982 0.0895524i \(-0.971456\pi\)
0.858404 + 0.512974i \(0.171456\pi\)
\(762\) −8.41974 + 3.57397i −0.305015 + 0.129471i
\(763\) 14.9532 + 1.83602i 0.541343 + 0.0664685i
\(764\) −2.35495 + 16.7563i −0.0851990 + 0.606222i
\(765\) −22.7924 8.81736i −0.824062 0.318792i
\(766\) −1.03165 + 29.5425i −0.0372749 + 1.06741i
\(767\) 14.7748 5.67150i 0.533486 0.204786i
\(768\) −0.206481 0.770596i −0.00745073 0.0278065i
\(769\) 39.1330 + 9.75695i 1.41117 + 0.351845i 0.871651 0.490127i \(-0.163050\pi\)
0.539521 + 0.841972i \(0.318605\pi\)
\(770\) −12.1600 3.52112i −0.438215 0.126892i
\(771\) 6.66458 2.96726i 0.240019 0.106863i
\(772\) 10.1827 8.24578i 0.366483 0.296772i
\(773\) −1.91083 15.5625i −0.0687279 0.559744i −0.986635 0.162948i \(-0.947900\pi\)
0.917907 0.396796i \(-0.129878\pi\)
\(774\) 1.54465 8.76016i 0.0555214 0.314877i
\(775\) 24.8743 2.48347i 0.893510 0.0892090i
\(776\) −8.49847 + 3.09319i −0.305077 + 0.111039i
\(777\) −1.15853 + 5.01817i −0.0415622 + 0.180026i
\(778\) −26.8121 + 4.24662i −0.961260 + 0.152249i
\(779\) 28.7398 37.6671i 1.02971 1.34956i
\(780\) 3.02216 0.858080i 0.108211 0.0307242i
\(781\) 2.38326 34.0822i 0.0852796 1.21956i
\(782\) −9.75585 4.54923i −0.348869 0.162680i
\(783\) 0.204682 + 11.7262i 0.00731474 + 0.419061i
\(784\) −0.768914 5.47111i −0.0274612 0.195397i
\(785\) 47.8921 4.06437i 1.70934 0.145063i
\(786\) 13.7090 2.91393i 0.488983 0.103936i
\(787\) 1.94987 + 3.00253i 0.0695052 + 0.107029i 0.871714 0.490015i \(-0.163009\pi\)
−0.802209 + 0.597043i \(0.796342\pi\)
\(788\) −0.498435 2.15896i −0.0177560 0.0769097i
\(789\) 2.14048 + 5.29788i 0.0762031 + 0.188609i
\(790\) 0.289791 0.173098i 0.0103103 0.00615857i
\(791\) −2.31467 2.08414i −0.0823003 0.0741035i
\(792\) 9.63611 + 5.34138i 0.342404 + 0.189798i
\(793\) 9.30442 + 13.2881i 0.330410 + 0.471874i
\(794\) 7.17079 + 6.92475i 0.254482 + 0.245750i
\(795\) −22.1782 + 7.14234i −0.786580 + 0.253313i
\(796\) 2.02136 + 8.10724i 0.0716453 + 0.287354i
\(797\) −2.71996 17.1732i −0.0963460 0.608305i −0.987864 0.155320i \(-0.950359\pi\)
0.891518 0.452985i \(-0.149641\pi\)
\(798\) 4.06681 1.13980i 0.143963 0.0403486i
\(799\) 31.5837i 1.11735i
\(800\) −2.88918 + 4.08077i −0.102148 + 0.144277i
\(801\) −10.4089 28.5983i −0.367782 1.01047i
\(802\) 20.7286 15.6201i 0.731954 0.551567i
\(803\) −72.5009 1.26551i −2.55850 0.0446588i
\(804\) 8.24129 5.55882i 0.290648 0.196044i
\(805\) 6.25829 + 0.896171i 0.220576 + 0.0315859i
\(806\) 8.75657 0.920352i 0.308437 0.0324180i
\(807\) 0.959833 10.9709i 0.0337877 0.386195i
\(808\) 2.87731 + 4.78864i 0.101223 + 0.168464i
\(809\) −5.53146 + 26.0235i −0.194476 + 0.914937i 0.767340 + 0.641240i \(0.221580\pi\)
−0.961816 + 0.273697i \(0.911754\pi\)
\(810\) −7.85646 2.42435i −0.276048 0.0851831i
\(811\) 22.7927 + 17.8076i 0.800361 + 0.625311i 0.930544 0.366179i \(-0.119334\pi\)
−0.130183 + 0.991490i \(0.541556\pi\)
\(812\) 2.65859 + 2.00339i 0.0932984 + 0.0703054i
\(813\) 5.40099 17.6658i 0.189421 0.619568i
\(814\) 24.7615 0.864692i 0.867891 0.0303074i
\(815\) −22.9469 + 1.14268i −0.803794 + 0.0400263i
\(816\) −3.50845 + 1.13996i −0.122820 + 0.0399067i
\(817\) −10.6200 + 12.5034i −0.371546 + 0.437440i
\(818\) −6.73528 6.73528i −0.235493 0.235493i
\(819\) 5.04318 + 0.352653i 0.176223 + 0.0123227i
\(820\) 7.57083 23.0958i 0.264385 0.806540i
\(821\) 16.8055 34.4563i 0.586515 1.20253i −0.374806 0.927103i \(-0.622291\pi\)
0.961321 0.275431i \(-0.0888206\pi\)
\(822\) −0.0812473 + 4.65466i −0.00283383 + 0.162350i
\(823\) 11.8779 1.45842i 0.414036 0.0508373i 0.0878292 0.996136i \(-0.472007\pi\)
0.326207 + 0.945298i \(0.394229\pi\)
\(824\) 6.41310 3.70260i 0.223411 0.128986i
\(825\) 3.45277 + 18.2705i 0.120210 + 0.636099i
\(826\) 8.36087 7.01560i 0.290912 0.244104i
\(827\) −3.00920 + 7.08923i −0.104640 + 0.246517i −0.964535 0.263954i \(-0.914973\pi\)
0.859895 + 0.510471i \(0.170529\pi\)
\(828\) −5.13665 1.97178i −0.178511 0.0685240i
\(829\) −2.07910 + 19.7814i −0.0722103 + 0.687035i 0.897206 + 0.441612i \(0.145593\pi\)
−0.969416 + 0.245423i \(0.921073\pi\)
\(830\) 1.04482 + 0.425304i 0.0362663 + 0.0147625i
\(831\) 21.2859 10.3818i 0.738401 0.360142i
\(832\) −1.01013 + 1.44261i −0.0350199 + 0.0500136i
\(833\) −25.0781 + 4.87469i −0.868905 + 0.168898i
\(834\) 9.06750 + 3.66351i 0.313982 + 0.126857i
\(835\) 3.69549 + 2.06105i 0.127888 + 0.0713254i
\(836\) −10.3603 17.4789i −0.358318 0.604520i
\(837\) 19.0612 + 9.71217i 0.658852 + 0.335702i
\(838\) 4.58760 + 10.8077i 0.158476 + 0.373346i
\(839\) 1.49676 + 42.8617i 0.0516740 + 1.47975i 0.697676 + 0.716414i \(0.254218\pi\)
−0.646002 + 0.763336i \(0.723560\pi\)
\(840\) 1.77802 1.23809i 0.0613475 0.0427183i
\(841\) −21.2785 + 2.99050i −0.733741 + 0.103121i
\(842\) −2.31052 + 4.16829i −0.0796258 + 0.143649i
\(843\) −0.0303280 + 0.113186i −0.00104455 + 0.00389832i
\(844\) 2.41033 + 22.9328i 0.0829671 + 0.789380i
\(845\) 18.3174 + 12.4248i 0.630138 + 0.427425i
\(846\) −1.12612 16.1043i −0.0387169 0.553678i
\(847\) 4.66977 12.1652i 0.160455 0.418000i
\(848\) 7.11369 10.9541i 0.244285 0.376166i
\(849\) 11.3794 + 4.14175i 0.390539 + 0.142144i
\(850\) 19.5431 + 12.3539i 0.670324 + 0.423735i
\(851\) −12.1854 + 2.14861i −0.417710 + 0.0736535i
\(852\) 4.27640 + 3.98781i 0.146507 + 0.136620i
\(853\) −6.00952 + 10.0015i −0.205762 + 0.342446i −0.942773 0.333435i \(-0.891792\pi\)
0.737011 + 0.675881i \(0.236237\pi\)
\(854\) 9.05074 + 6.57575i 0.309710 + 0.225018i
\(855\) 15.5658 + 16.9827i 0.532338 + 0.580795i
\(856\) 2.21112 1.60647i 0.0755745 0.0549081i
\(857\) 4.20820 + 48.0999i 0.143749 + 1.64306i 0.635338 + 0.772234i \(0.280861\pi\)
−0.491589 + 0.870827i \(0.663584\pi\)
\(858\) 1.24964 + 6.42885i 0.0426621 + 0.219477i
\(859\) −2.50977 4.72020i −0.0856324 0.161051i 0.836452 0.548041i \(-0.184626\pi\)
−0.922084 + 0.386989i \(0.873515\pi\)
\(860\) −3.03630 + 7.84869i −0.103537 + 0.267638i
\(861\) −6.48410 + 8.29927i −0.220978 + 0.282838i
\(862\) 1.17801 + 22.4778i 0.0401232 + 0.765596i
\(863\) −10.4105 + 6.76065i −0.354377 + 0.230135i −0.709534 0.704672i \(-0.751094\pi\)
0.355156 + 0.934807i \(0.384428\pi\)
\(864\) −3.96736 + 1.60292i −0.134972 + 0.0545323i
\(865\) 38.9077 + 36.4719i 1.32290 + 1.24008i
\(866\) 29.0955 + 6.18444i 0.988705 + 0.210156i
\(867\) 1.25284 + 3.26377i 0.0425488 + 0.110843i
\(868\) 5.50331 2.56624i 0.186795 0.0871037i
\(869\) 0.308473 + 0.632463i 0.0104642 + 0.0214548i
\(870\) 0.861576 4.81291i 0.0292102 0.163173i
\(871\) −21.0943 6.04869i −0.714752 0.204952i
\(872\) 10.6325 + 6.38865i 0.360062 + 0.216347i
\(873\) 9.70434 + 19.0458i 0.328442 + 0.644604i
\(874\) 6.33838 + 7.92390i 0.214399 + 0.268030i
\(875\) −13.0885 3.61688i −0.442472 0.122273i
\(876\) 7.97705 9.50667i 0.269519 0.321201i
\(877\) −1.88823 + 2.02488i −0.0637611 + 0.0683754i −0.762435 0.647065i \(-0.775996\pi\)
0.698674 + 0.715441i \(0.253774\pi\)
\(878\) 17.9831 6.19207i 0.606900 0.208972i
\(879\) −2.93392 3.03816i −0.0989585 0.102475i
\(880\) −7.96720 6.72071i −0.268574 0.226555i
\(881\) 26.3953 + 11.7520i 0.889281 + 0.395933i 0.799949 0.600069i \(-0.204860\pi\)
0.0893323 + 0.996002i \(0.471527\pi\)
\(882\) −12.6134 + 3.37974i −0.424714 + 0.113802i
\(883\) 35.5255 21.3459i 1.19553 0.718345i 0.228631 0.973513i \(-0.426575\pi\)
0.966897 + 0.255168i \(0.0821308\pi\)
\(884\) 6.90607 + 4.31539i 0.232276 + 0.145142i
\(885\) −14.7399 6.30209i −0.495478 0.211842i
\(886\) −0.0572198 0.269198i −0.00192234 0.00904388i
\(887\) 27.4119 25.5620i 0.920401 0.858288i −0.0698537 0.997557i \(-0.522253\pi\)
0.990255 + 0.139270i \(0.0444755\pi\)
\(888\) −2.55194 + 3.38654i −0.0856374 + 0.113645i
\(889\) 13.7897 + 1.93802i 0.462493 + 0.0649992i
\(890\) 4.43003 + 28.4494i 0.148495 + 0.953626i
\(891\) 6.42076 15.8919i 0.215104 0.532400i
\(892\) 16.0927 + 2.54883i 0.538822 + 0.0853410i
\(893\) −13.2115 + 26.6806i −0.442107 + 0.892831i
\(894\) −7.46258 10.2714i −0.249586 0.343526i
\(895\) −5.15575 + 47.8545i −0.172338 + 1.59960i
\(896\) −0.334774 + 1.16750i −0.0111840 + 0.0390033i
\(897\) −1.06482 3.09245i −0.0355532 0.103254i
\(898\) −8.60920 28.1594i −0.287293 0.939692i
\(899\) 4.68679 12.8768i 0.156313 0.429467i
\(900\) 10.4054 + 5.60236i 0.346847 + 0.186745i
\(901\) −52.3049 30.1982i −1.74253 1.00605i
\(902\) 46.6396 + 19.7973i 1.55293 + 0.659179i
\(903\) 2.39241 2.75216i 0.0796145 0.0915860i
\(904\) −1.04307 2.34278i −0.0346922 0.0779199i
\(905\) −21.3820 + 22.0266i −0.710762 + 0.732190i
\(906\) 0.900472 + 3.14032i 0.0299162 + 0.104330i
\(907\) 42.6867 29.8896i 1.41739 0.992466i 0.421044 0.907040i \(-0.361664\pi\)
0.996344 0.0854262i \(-0.0272252\pi\)
\(908\) −18.5493 + 0.323780i −0.615581 + 0.0107450i
\(909\) 10.4050 8.12930i 0.345113 0.269632i
\(910\) −4.61661 1.24991i −0.153039 0.0414342i
\(911\) −12.6066 4.09613i −0.417675 0.135711i 0.0926374 0.995700i \(-0.470470\pi\)
−0.510312 + 0.859989i \(0.670470\pi\)
\(912\) 3.44064 + 0.504599i 0.113931 + 0.0167089i
\(913\) −1.06762 + 2.09531i −0.0353329 + 0.0693447i
\(914\) 33.2164 20.7559i 1.09870 0.686545i
\(915\) 2.61273 16.2226i 0.0863742 0.536302i
\(916\) −19.8297 + 10.5437i −0.655193 + 0.348372i
\(917\) −20.1744 6.94661i −0.666218 0.229397i
\(918\) 8.36198 + 17.9323i 0.275986 + 0.591855i
\(919\) 20.2638 45.5133i 0.668442 1.50135i −0.186408 0.982472i \(-0.559685\pi\)
0.854851 0.518874i \(-0.173649\pi\)
\(920\) 4.40718 + 2.76990i 0.145300 + 0.0913208i
\(921\) −0.223137 + 0.0156032i −0.00735261 + 0.000514144i
\(922\) 14.2659 + 12.4012i 0.469822 + 0.408410i
\(923\) 0.675544 12.8901i 0.0222358 0.424284i
\(924\) 2.25832 + 3.91152i 0.0742932 + 0.128680i
\(925\) 26.5467 1.25264i 0.872851 0.0411866i
\(926\) 13.1579 + 2.32010i 0.432396 + 0.0762431i
\(927\) −10.5333 13.9782i −0.345959 0.459103i
\(928\) 1.32880 + 2.39722i 0.0436201 + 0.0786928i
\(929\) 42.8411 10.6815i 1.40557 0.350448i 0.535984 0.844228i \(-0.319941\pi\)
0.869587 + 0.493779i \(0.164385\pi\)
\(930\) −7.01372 5.50920i −0.229989 0.180654i
\(931\) 23.2240 + 6.37230i 0.761136 + 0.208844i
\(932\) −1.90237 + 1.90237i −0.0623143 + 0.0623143i
\(933\) −12.8246 + 11.1483i −0.419860 + 0.364978i
\(934\) −4.19534 5.36979i −0.137276 0.175705i
\(935\) −29.1064 + 38.4169i −0.951881 + 1.25637i
\(936\) 3.67523 + 1.95415i 0.120129 + 0.0638735i
\(937\) 34.1246 + 36.5941i 1.11480 + 1.19548i 0.978811 + 0.204768i \(0.0656439\pi\)
0.135991 + 0.990710i \(0.456578\pi\)
\(938\) −15.1132 + 0.792049i −0.493463 + 0.0258613i
\(939\) −11.4833 12.7535i −0.374745 0.416196i
\(940\) −1.90077 + 15.1542i −0.0619964 + 0.494275i
\(941\) −16.5582 + 26.4987i −0.539782 + 0.863833i −0.999709 0.0241245i \(-0.992320\pi\)
0.459926 + 0.887957i \(0.347876\pi\)
\(942\) −13.3267 10.7918i −0.434208 0.351615i
\(943\) −24.4410 6.54894i −0.795908 0.213263i
\(944\) 8.63823 2.47697i 0.281151 0.0806186i
\(945\) −7.75328 8.65612i −0.252214 0.281584i
\(946\) −15.7679 7.69053i −0.512659 0.250041i
\(947\) 33.3863 18.5063i 1.08491 0.601375i 0.162156 0.986765i \(-0.448155\pi\)
0.922754 + 0.385390i \(0.125933\pi\)
\(948\) −0.117345 0.0270912i −0.00381118 0.000879881i
\(949\) −27.3953 −0.889290
\(950\) −11.3415 18.6110i −0.367968 0.603821i
\(951\) −12.6388 −0.409840
\(952\) 5.47222 + 1.26336i 0.177356 + 0.0409458i
\(953\) 21.1200 11.7070i 0.684143 0.379227i −0.104120 0.994565i \(-0.533203\pi\)
0.788263 + 0.615338i \(0.210980\pi\)
\(954\) −27.7467 13.5329i −0.898331 0.438145i
\(955\) −36.9891 7.96300i −1.19694 0.257677i
\(956\) −6.71828 + 1.92644i −0.217285 + 0.0623054i
\(957\) 9.84543 + 2.63807i 0.318257 + 0.0852768i
\(958\) −27.7214 22.4483i −0.895637 0.725273i
\(959\) 3.75573 6.01042i 0.121279 0.194087i
\(960\) 1.75200 0.335821i 0.0565454 0.0108386i
\(961\) 4.01753 + 4.46192i 0.129598 + 0.143933i
\(962\) 9.34789 0.489902i 0.301388 0.0157951i
\(963\) −4.40557 4.72440i −0.141968 0.152242i
\(964\) 7.61522 + 4.04908i 0.245270 + 0.130412i
\(965\) 16.7424 + 24.0436i 0.538956 + 0.773991i
\(966\) −1.38868 1.77743i −0.0446802 0.0571880i
\(967\) −22.0939 + 19.2060i −0.710493 + 0.617622i −0.934081 0.357062i \(-0.883779\pi\)
0.223588 + 0.974684i \(0.428223\pi\)
\(968\) 7.58643 7.58643i 0.243837 0.243837i
\(969\) 1.49746 16.0101i 0.0481052 0.514318i
\(970\) −5.52350 19.4538i −0.177349 0.624624i
\(971\) 35.8417 8.93633i 1.15021 0.286781i 0.380260 0.924880i \(-0.375835\pi\)
0.769954 + 0.638099i \(0.220279\pi\)
\(972\) 7.64556 + 13.7930i 0.245231 + 0.442409i
\(973\) −8.96015 11.8905i −0.287249 0.381193i
\(974\) 4.45668 + 0.785833i 0.142801 + 0.0251797i
\(975\) 1.42474 + 6.87888i 0.0456283 + 0.220300i
\(976\) 4.60556 + 7.97707i 0.147420 + 0.255340i
\(977\) 2.20944 42.1586i 0.0706863 1.34877i −0.701178 0.712987i \(-0.747342\pi\)
0.771864 0.635788i \(-0.219325\pi\)
\(978\) 6.18642 + 5.37778i 0.197820 + 0.171962i
\(979\) −59.8756 + 4.18691i −1.91363 + 0.133814i
\(980\) 12.3261 0.829674i 0.393743 0.0265030i
\(981\) 11.9247 26.7833i 0.380726 0.855125i
\(982\) 1.58226 + 3.39317i 0.0504919 + 0.108280i
\(983\) 0.977235 + 0.336489i 0.0311690 + 0.0107323i 0.341108 0.940024i \(-0.389198\pi\)
−0.309939 + 0.950756i \(0.600309\pi\)
\(984\) −7.65647 + 4.07102i −0.244079 + 0.129779i
\(985\) 4.89557 0.762318i 0.155986 0.0242895i
\(986\) 10.7482 6.71621i 0.342292 0.213888i
\(987\) 3.00456 5.89678i 0.0956362 0.187697i
\(988\) −4.02882 6.53429i −0.128174 0.207883i
\(989\) 8.33233 + 2.70734i 0.264953 + 0.0860884i
\(990\) −13.4714 + 20.6263i −0.428149 + 0.655548i
\(991\) −44.2673 + 34.5854i −1.40620 + 1.09864i −0.425095 + 0.905149i \(0.639759\pi\)
−0.981102 + 0.193492i \(0.938019\pi\)
\(992\) 4.99883 0.0872549i 0.158713 0.00277034i
\(993\) −10.4229 + 7.29821i −0.330761 + 0.231602i
\(994\) −2.45369 8.55704i −0.0778264 0.271413i
\(995\) −18.4079 + 3.19640i −0.583568 + 0.101333i
\(996\) −0.163699 0.367674i −0.00518700 0.0116502i
\(997\) 5.50293 6.33039i 0.174279 0.200486i −0.660883 0.750489i \(-0.729818\pi\)
0.835162 + 0.550003i \(0.185374\pi\)
\(998\) 32.0258 + 13.5941i 1.01376 + 0.430315i
\(999\) 19.6965 + 11.3718i 0.623171 + 0.359788i
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 950.2.bi.a.3.10 2400
19.13 odd 18 inner 950.2.bi.a.203.41 yes 2400
25.17 odd 20 inner 950.2.bi.a.117.41 yes 2400
475.317 even 180 inner 950.2.bi.a.317.10 yes 2400
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
950.2.bi.a.3.10 2400 1.1 even 1 trivial
950.2.bi.a.117.41 yes 2400 25.17 odd 20 inner
950.2.bi.a.203.41 yes 2400 19.13 odd 18 inner
950.2.bi.a.317.10 yes 2400 475.317 even 180 inner