Properties

Label 507.2.p.b.64.1
Level $507$
Weight $2$
Character 507.64
Analytic conductor $4.048$
Analytic rank $0$
Dimension $192$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [507,2,Mod(25,507)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(507, base_ring=CyclotomicField(26))
 
chi = DirichletCharacter(H, H._module([0, 3]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("507.25");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 507 = 3 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 507.p (of order \(26\), degree \(12\), 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: \(4.04841538248\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(16\) over \(\Q(\zeta_{26})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{26}]$

Embedding invariants

Embedding label 64.1
Character \(\chi\) \(=\) 507.64
Dual form 507.2.p.b.103.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-2.62119 - 0.318270i) q^{2} +(0.748511 - 0.663123i) q^{3} +(4.82745 + 1.18986i) q^{4} +(-0.880115 - 1.67692i) q^{5} +(-2.17304 + 1.49994i) q^{6} +(-2.02452 - 0.767800i) q^{7} +(-7.33724 - 2.78265i) q^{8} +(0.120537 - 0.992709i) q^{9} +O(q^{10})\) \(q+(-2.62119 - 0.318270i) q^{2} +(0.748511 - 0.663123i) q^{3} +(4.82745 + 1.18986i) q^{4} +(-0.880115 - 1.67692i) q^{5} +(-2.17304 + 1.49994i) q^{6} +(-2.02452 - 0.767800i) q^{7} +(-7.33724 - 2.78265i) q^{8} +(0.120537 - 0.992709i) q^{9} +(1.77323 + 4.67563i) q^{10} +(-2.01393 + 0.244536i) q^{11} +(4.40242 - 2.31057i) q^{12} +(-1.63692 + 3.21255i) q^{13} +(5.06228 + 2.65689i) q^{14} +(-1.77078 - 0.671568i) q^{15} +(9.54182 + 5.00793i) q^{16} +(-1.34828 + 3.55513i) q^{17} +(-0.631899 + 2.56371i) q^{18} +5.17956i q^{19} +(-2.25341 - 9.14245i) q^{20} +(-2.02452 + 0.767800i) q^{21} +5.35673 q^{22} -2.11838 q^{23} +(-7.33724 + 2.78265i) q^{24} +(0.802868 - 1.16316i) q^{25} +(5.31313 - 7.89973i) q^{26} +(-0.568065 - 0.822984i) q^{27} +(-8.85970 - 6.11541i) q^{28} +(0.239201 - 1.97000i) q^{29} +(4.42780 + 2.32389i) q^{30} +(3.80995 - 2.62982i) q^{31} +(-10.5008 - 7.24819i) q^{32} +(-1.34529 + 1.51852i) q^{33} +(4.66560 - 8.88955i) q^{34} +(0.494274 + 4.07071i) q^{35} +(1.76307 - 4.64883i) q^{36} +(-6.26399 + 4.32372i) q^{37} +(1.64850 - 13.5766i) q^{38} +(0.905066 + 3.49011i) q^{39} +(1.79134 + 14.7530i) q^{40} +(3.58958 + 4.05179i) q^{41} +(5.55102 - 1.36820i) q^{42} +(1.47890 - 2.14256i) q^{43} +(-10.0131 - 1.21581i) q^{44} +(-1.77078 + 0.671568i) q^{45} +(5.55268 + 0.674217i) q^{46} +(1.33083 + 5.39938i) q^{47} +(10.4630 - 2.57891i) q^{48} +(-1.73040 - 1.53300i) q^{49} +(-2.47467 + 2.79332i) q^{50} +(1.34828 + 3.55513i) q^{51} +(-11.7246 + 13.5607i) q^{52} +(-3.94821 + 10.4106i) q^{53} +(1.22707 + 2.33799i) q^{54} +(2.18256 + 3.16198i) q^{55} +(12.7179 + 11.2671i) q^{56} +(3.43468 + 3.87696i) q^{57} +(-1.25398 + 5.08760i) q^{58} +(-2.89294 - 5.51203i) q^{59} +(-7.74927 - 5.34893i) q^{60} +(4.55511 + 12.0108i) q^{61} +(-10.8236 + 5.68065i) q^{62} +(-1.00623 + 1.91721i) q^{63} +(9.08560 + 8.04914i) q^{64} +(6.82787 - 0.0824379i) q^{65} +(4.00957 - 3.55217i) q^{66} +(-1.92002 - 7.78983i) q^{67} +(-10.7389 + 15.5579i) q^{68} +(-1.58563 + 1.40475i) q^{69} -10.8274i q^{70} +(9.12120 + 10.2957i) q^{71} +(-3.64677 + 6.94833i) q^{72} +(-7.04302 + 0.855178i) q^{73} +(17.7952 - 9.33965i) q^{74} +(-0.170359 - 1.40303i) q^{75} +(-6.16294 + 25.0040i) q^{76} +(4.26501 + 1.05123i) q^{77} +(-1.26155 - 9.43628i) q^{78} +(-9.51491 + 2.34521i) q^{79} -20.4084i q^{80} +(-0.970942 - 0.239316i) q^{81} +(-8.11939 - 11.7630i) q^{82} +(0.883477 - 0.997240i) q^{83} +(-10.6868 + 1.29762i) q^{84} +(7.14832 - 0.867963i) q^{85} +(-4.55840 + 5.14537i) q^{86} +(-1.12731 - 1.63318i) q^{87} +(15.4572 + 3.80985i) q^{88} +5.56897i q^{89} +(4.85528 - 1.19672i) q^{90} +(5.78057 - 5.24706i) q^{91} +(-10.2264 - 2.52058i) q^{92} +(1.10790 - 4.49491i) q^{93} +(-1.76989 - 14.5763i) q^{94} +(8.68570 - 4.55861i) q^{95} +(-12.6664 + 1.53798i) q^{96} +(6.51356 - 12.4106i) q^{97} +(4.04781 + 4.56903i) q^{98} +2.02873i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192 q + 16 q^{3} + 18 q^{4} - 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 192 q + 16 q^{3} + 18 q^{4} - 16 q^{9} - 18 q^{12} - 63 q^{13} - 10 q^{14} - 6 q^{16} + 12 q^{17} + 16 q^{22} - 52 q^{23} + 58 q^{25} + 51 q^{26} + 16 q^{27} - 49 q^{29} - 26 q^{31} - 13 q^{33} - 65 q^{34} + 39 q^{35} + 18 q^{36} + 77 q^{38} - 2 q^{39} - 55 q^{42} - 76 q^{43} + 39 q^{44} + 6 q^{48} - 58 q^{49} + 52 q^{50} - 12 q^{51} + 63 q^{52} - 73 q^{53} + 37 q^{55} - 10 q^{56} + 13 q^{57} - 26 q^{58} - 104 q^{59} - 13 q^{60} + 8 q^{61} + 53 q^{62} + 42 q^{64} + 52 q^{65} - 42 q^{66} + 26 q^{67} - 34 q^{68} - 39 q^{71} + 52 q^{73} + 59 q^{74} - 6 q^{75} - 130 q^{76} - 52 q^{77} + 53 q^{78} + 14 q^{79} - 16 q^{81} + 41 q^{82} - 78 q^{83} + 91 q^{85} + 169 q^{86} - 42 q^{87} - 270 q^{88} + 80 q^{91} - 54 q^{92} - 91 q^{93} + 25 q^{94} - 58 q^{95} - 65 q^{96} + 130 q^{97} + 104 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).

\(n\) \(170\) \(340\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{26}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.62119 0.318270i −1.85346 0.225051i −0.883520 0.468394i \(-0.844833\pi\)
−0.969940 + 0.243343i \(0.921756\pi\)
\(3\) 0.748511 0.663123i 0.432153 0.382854i
\(4\) 4.82745 + 1.18986i 2.41372 + 0.594929i
\(5\) −0.880115 1.67692i −0.393599 0.749941i 0.605341 0.795966i \(-0.293037\pi\)
−0.998940 + 0.0460253i \(0.985345\pi\)
\(6\) −2.17304 + 1.49994i −0.887140 + 0.612348i
\(7\) −2.02452 0.767800i −0.765197 0.290201i −0.0590395 0.998256i \(-0.518804\pi\)
−0.706158 + 0.708055i \(0.749573\pi\)
\(8\) −7.33724 2.78265i −2.59411 0.983815i
\(9\) 0.120537 0.992709i 0.0401789 0.330903i
\(10\) 1.77323 + 4.67563i 0.560746 + 1.47857i
\(11\) −2.01393 + 0.244536i −0.607224 + 0.0737303i −0.418373 0.908275i \(-0.637399\pi\)
−0.188851 + 0.982006i \(0.560476\pi\)
\(12\) 4.40242 2.31057i 1.27087 0.667003i
\(13\) −1.63692 + 3.21255i −0.453999 + 0.891002i
\(14\) 5.06228 + 2.65689i 1.35295 + 0.710084i
\(15\) −1.77078 0.671568i −0.457213 0.173398i
\(16\) 9.54182 + 5.00793i 2.38546 + 1.25198i
\(17\) −1.34828 + 3.55513i −0.327007 + 0.862246i 0.666188 + 0.745784i \(0.267925\pi\)
−0.993195 + 0.116463i \(0.962844\pi\)
\(18\) −0.631899 + 2.56371i −0.148940 + 0.604273i
\(19\) 5.17956i 1.18827i 0.804364 + 0.594136i \(0.202506\pi\)
−0.804364 + 0.594136i \(0.797494\pi\)
\(20\) −2.25341 9.14245i −0.503878 2.04431i
\(21\) −2.02452 + 0.767800i −0.441787 + 0.167548i
\(22\) 5.35673 1.14206
\(23\) −2.11838 −0.441713 −0.220857 0.975306i \(-0.570885\pi\)
−0.220857 + 0.975306i \(0.570885\pi\)
\(24\) −7.33724 + 2.78265i −1.49771 + 0.568006i
\(25\) 0.802868 1.16316i 0.160574 0.232631i
\(26\) 5.31313 7.89973i 1.04199 1.54926i
\(27\) −0.568065 0.822984i −0.109324 0.158383i
\(28\) −8.85970 6.11541i −1.67433 1.15570i
\(29\) 0.239201 1.97000i 0.0444185 0.365819i −0.953503 0.301383i \(-0.902552\pi\)
0.997922 0.0644368i \(-0.0205251\pi\)
\(30\) 4.42780 + 2.32389i 0.808403 + 0.424282i
\(31\) 3.80995 2.62982i 0.684287 0.472329i −0.174503 0.984657i \(-0.555832\pi\)
0.858790 + 0.512327i \(0.171217\pi\)
\(32\) −10.5008 7.24819i −1.85630 1.28131i
\(33\) −1.34529 + 1.51852i −0.234186 + 0.264341i
\(34\) 4.66560 8.88955i 0.800143 1.52455i
\(35\) 0.494274 + 4.07071i 0.0835475 + 0.688076i
\(36\) 1.76307 4.64883i 0.293845 0.774805i
\(37\) −6.26399 + 4.32372i −1.02979 + 0.710815i −0.958048 0.286607i \(-0.907472\pi\)
−0.0717459 + 0.997423i \(0.522857\pi\)
\(38\) 1.64850 13.5766i 0.267422 2.20242i
\(39\) 0.905066 + 3.49011i 0.144927 + 0.558865i
\(40\) 1.79134 + 14.7530i 0.283236 + 2.33266i
\(41\) 3.58958 + 4.05179i 0.560597 + 0.632784i 0.958653 0.284578i \(-0.0918533\pi\)
−0.398056 + 0.917361i \(0.630315\pi\)
\(42\) 5.55102 1.36820i 0.856541 0.211118i
\(43\) 1.47890 2.14256i 0.225531 0.326738i −0.693840 0.720129i \(-0.744083\pi\)
0.919371 + 0.393391i \(0.128698\pi\)
\(44\) −10.0131 1.21581i −1.50953 0.183291i
\(45\) −1.77078 + 0.671568i −0.263972 + 0.100111i
\(46\) 5.55268 + 0.674217i 0.818698 + 0.0994079i
\(47\) 1.33083 + 5.39938i 0.194121 + 0.787580i 0.984561 + 0.175041i \(0.0560057\pi\)
−0.790440 + 0.612539i \(0.790148\pi\)
\(48\) 10.4630 2.57891i 1.51021 0.372233i
\(49\) −1.73040 1.53300i −0.247201 0.219001i
\(50\) −2.47467 + 2.79332i −0.349971 + 0.395035i
\(51\) 1.34828 + 3.55513i 0.188798 + 0.497818i
\(52\) −11.7246 + 13.5607i −1.62591 + 1.88054i
\(53\) −3.94821 + 10.4106i −0.542328 + 1.43000i 0.331355 + 0.943506i \(0.392494\pi\)
−0.873683 + 0.486496i \(0.838275\pi\)
\(54\) 1.22707 + 2.33799i 0.166984 + 0.318161i
\(55\) 2.18256 + 3.16198i 0.294296 + 0.426362i
\(56\) 12.7179 + 11.2671i 1.69950 + 1.50562i
\(57\) 3.43468 + 3.87696i 0.454935 + 0.513515i
\(58\) −1.25398 + 5.08760i −0.164656 + 0.668035i
\(59\) −2.89294 5.51203i −0.376628 0.717605i 0.621188 0.783662i \(-0.286650\pi\)
−0.997816 + 0.0660568i \(0.978958\pi\)
\(60\) −7.74927 5.34893i −1.00043 0.690544i
\(61\) 4.55511 + 12.0108i 0.583223 + 1.53783i 0.823611 + 0.567155i \(0.191956\pi\)
−0.240389 + 0.970677i \(0.577275\pi\)
\(62\) −10.8236 + 5.68065i −1.37460 + 0.721444i
\(63\) −1.00623 + 1.91721i −0.126773 + 0.241546i
\(64\) 9.08560 + 8.04914i 1.13570 + 1.00614i
\(65\) 6.82787 0.0824379i 0.846893 0.0102252i
\(66\) 4.00957 3.55217i 0.493544 0.437242i
\(67\) −1.92002 7.78983i −0.234568 0.951680i −0.963632 0.267234i \(-0.913890\pi\)
0.729064 0.684446i \(-0.239956\pi\)
\(68\) −10.7389 + 15.5579i −1.30228 + 1.88668i
\(69\) −1.58563 + 1.40475i −0.190888 + 0.169112i
\(70\) 10.8274i 1.29412i
\(71\) 9.12120 + 10.2957i 1.08249 + 1.22188i 0.973706 + 0.227810i \(0.0731567\pi\)
0.108782 + 0.994066i \(0.465305\pi\)
\(72\) −3.64677 + 6.94833i −0.429776 + 0.818869i
\(73\) −7.04302 + 0.855178i −0.824323 + 0.100091i −0.521818 0.853057i \(-0.674746\pi\)
−0.302505 + 0.953148i \(0.597823\pi\)
\(74\) 17.7952 9.33965i 2.06865 1.08571i
\(75\) −0.170359 1.40303i −0.0196714 0.162008i
\(76\) −6.16294 + 25.0040i −0.706938 + 2.86816i
\(77\) 4.26501 + 1.05123i 0.486043 + 0.119799i
\(78\) −1.26155 9.43628i −0.142843 1.06845i
\(79\) −9.51491 + 2.34521i −1.07051 + 0.263857i −0.734922 0.678152i \(-0.762781\pi\)
−0.335588 + 0.942009i \(0.608935\pi\)
\(80\) 20.4084i 2.28173i
\(81\) −0.970942 0.239316i −0.107882 0.0265906i
\(82\) −8.11939 11.7630i −0.896636 1.29900i
\(83\) 0.883477 0.997240i 0.0969742 0.109461i −0.698020 0.716078i \(-0.745935\pi\)
0.794994 + 0.606617i \(0.207474\pi\)
\(84\) −10.6868 + 1.29762i −1.16603 + 0.141582i
\(85\) 7.14832 0.867963i 0.775344 0.0941438i
\(86\) −4.55840 + 5.14537i −0.491545 + 0.554840i
\(87\) −1.12731 1.63318i −0.120860 0.175096i
\(88\) 15.4572 + 3.80985i 1.64774 + 0.406132i
\(89\) 5.56897i 0.590309i 0.955449 + 0.295155i \(0.0953712\pi\)
−0.955449 + 0.295155i \(0.904629\pi\)
\(90\) 4.85528 1.19672i 0.511792 0.126145i
\(91\) 5.78057 5.24706i 0.605969 0.550041i
\(92\) −10.2264 2.52058i −1.06617 0.262788i
\(93\) 1.10790 4.49491i 0.114883 0.466100i
\(94\) −1.76989 14.5763i −0.182550 1.50344i
\(95\) 8.68570 4.55861i 0.891134 0.467703i
\(96\) −12.6664 + 1.53798i −1.29276 + 0.156970i
\(97\) 6.51356 12.4106i 0.661352 1.26010i −0.291472 0.956579i \(-0.594145\pi\)
0.952824 0.303522i \(-0.0981626\pi\)
\(98\) 4.04781 + 4.56903i 0.408890 + 0.461542i
\(99\) 2.02873i 0.203895i
\(100\) 5.25980 4.65977i 0.525980 0.465977i
\(101\) −2.18888 + 3.17114i −0.217802 + 0.315540i −0.916620 0.399759i \(-0.869094\pi\)
0.698819 + 0.715299i \(0.253709\pi\)
\(102\) −2.40261 9.74779i −0.237894 0.965175i
\(103\) −10.8096 + 9.57648i −1.06510 + 0.943599i −0.998531 0.0541830i \(-0.982745\pi\)
−0.0665717 + 0.997782i \(0.521206\pi\)
\(104\) 20.9499 19.0163i 2.05430 1.86470i
\(105\) 3.06935 + 2.71921i 0.299538 + 0.265367i
\(106\) 13.6624 26.0315i 1.32701 2.52840i
\(107\) −15.0109 + 7.87831i −1.45116 + 0.761625i −0.991941 0.126701i \(-0.959561\pi\)
−0.459214 + 0.888326i \(0.651869\pi\)
\(108\) −1.76307 4.64883i −0.169651 0.447334i
\(109\) −13.9451 9.62562i −1.33570 0.921968i −0.335899 0.941898i \(-0.609040\pi\)
−0.999801 + 0.0199303i \(0.993656\pi\)
\(110\) −4.71454 8.98280i −0.449513 0.856476i
\(111\) −1.82151 + 7.39015i −0.172890 + 0.701442i
\(112\) −15.4725 17.4649i −1.46202 1.65028i
\(113\) −15.5827 13.8051i −1.46590 1.29867i −0.867467 0.497495i \(-0.834253\pi\)
−0.598429 0.801176i \(-0.704208\pi\)
\(114\) −7.76903 11.2554i −0.727637 1.05416i
\(115\) 1.86442 + 3.55235i 0.173858 + 0.331259i
\(116\) 3.49875 9.22545i 0.324851 0.856561i
\(117\) 2.99182 + 2.01221i 0.276594 + 0.186029i
\(118\) 5.82862 + 15.3688i 0.536568 + 1.41481i
\(119\) 5.45926 6.16223i 0.500450 0.564891i
\(120\) 11.1239 + 9.85491i 1.01547 + 0.899626i
\(121\) −6.68423 + 1.64751i −0.607657 + 0.149774i
\(122\) −8.11712 32.9324i −0.734889 2.98156i
\(123\) 5.37367 + 0.652482i 0.484528 + 0.0588323i
\(124\) 21.5214 8.16200i 1.93268 0.732970i
\(125\) −12.0573 1.46403i −1.07844 0.130946i
\(126\) 3.24771 4.70512i 0.289329 0.419166i
\(127\) 11.0221 2.71671i 0.978057 0.241069i 0.282284 0.959331i \(-0.408908\pi\)
0.695773 + 0.718262i \(0.255062\pi\)
\(128\) −4.33110 4.88880i −0.382819 0.432113i
\(129\) −0.313806 2.58443i −0.0276291 0.227546i
\(130\) −17.9234 1.95702i −1.57198 0.171642i
\(131\) 1.80254 14.8453i 0.157489 1.29704i −0.672850 0.739779i \(-0.734930\pi\)
0.830339 0.557259i \(-0.188147\pi\)
\(132\) −8.30116 + 5.72988i −0.722523 + 0.498722i
\(133\) 3.97686 10.4861i 0.344838 0.909263i
\(134\) 2.55347 + 21.0297i 0.220586 + 1.81669i
\(135\) −0.880115 + 1.67692i −0.0757482 + 0.144326i
\(136\) 19.7854 22.3331i 1.69658 1.91504i
\(137\) 9.34370 + 6.44949i 0.798286 + 0.551017i 0.895925 0.444205i \(-0.146514\pi\)
−0.0976389 + 0.995222i \(0.531129\pi\)
\(138\) 4.60333 3.17745i 0.391861 0.270482i
\(139\) 7.41163 + 3.88992i 0.628646 + 0.329939i 0.748780 0.662819i \(-0.230640\pi\)
−0.120134 + 0.992758i \(0.538332\pi\)
\(140\) −2.45749 + 20.2393i −0.207696 + 1.71053i
\(141\) 4.57659 + 3.15899i 0.385418 + 0.266035i
\(142\) −20.6316 29.8900i −1.73136 2.50831i
\(143\) 2.51106 6.87016i 0.209985 0.574511i
\(144\) 6.12156 8.86861i 0.510130 0.739051i
\(145\) −3.51405 + 1.33270i −0.291826 + 0.110675i
\(146\) 18.7333 1.55038
\(147\) −2.31180 −0.190674
\(148\) −35.3837 + 13.4193i −2.90852 + 1.10306i
\(149\) 4.75702 + 19.3000i 0.389710 + 1.58112i 0.758544 + 0.651621i \(0.225911\pi\)
−0.368834 + 0.929495i \(0.620243\pi\)
\(150\) 3.73184i 0.304703i
\(151\) −0.386882 + 1.56964i −0.0314840 + 0.127736i −0.984581 0.174930i \(-0.944030\pi\)
0.953097 + 0.302665i \(0.0978764\pi\)
\(152\) 14.4129 38.0037i 1.16904 3.08251i
\(153\) 3.36669 + 1.76698i 0.272181 + 0.142852i
\(154\) −10.8448 4.11289i −0.873900 0.331426i
\(155\) −7.76319 4.07443i −0.623554 0.327266i
\(156\) 0.216424 + 17.9252i 0.0173278 + 1.43517i
\(157\) −2.88542 + 1.51439i −0.230282 + 0.120861i −0.575918 0.817507i \(-0.695355\pi\)
0.345636 + 0.938369i \(0.387663\pi\)
\(158\) 25.6868 3.11894i 2.04353 0.248129i
\(159\) 3.94821 + 10.4106i 0.313113 + 0.825612i
\(160\) −2.91270 + 23.9883i −0.230269 + 1.89644i
\(161\) 4.28871 + 1.62649i 0.337998 + 0.128186i
\(162\) 2.46885 + 0.936313i 0.193971 + 0.0735637i
\(163\) 3.21318 2.21790i 0.251675 0.173719i −0.435547 0.900166i \(-0.643445\pi\)
0.687223 + 0.726447i \(0.258830\pi\)
\(164\) 12.5074 + 23.8309i 0.976666 + 1.86088i
\(165\) 3.73045 + 0.919474i 0.290415 + 0.0715810i
\(166\) −2.63315 + 2.33277i −0.204372 + 0.181058i
\(167\) −14.6433 1.77802i −1.13313 0.137587i −0.467590 0.883946i \(-0.654878\pi\)
−0.665544 + 0.746358i \(0.731801\pi\)
\(168\) 16.9909 1.31088
\(169\) −7.64100 10.5174i −0.587769 0.809029i
\(170\) −19.0133 −1.45826
\(171\) 5.14179 + 0.624327i 0.393203 + 0.0477435i
\(172\) 9.68868 8.58342i 0.738755 0.654480i
\(173\) 15.8534 + 3.90752i 1.20531 + 0.297083i 0.790293 0.612729i \(-0.209928\pi\)
0.415021 + 0.909812i \(0.363774\pi\)
\(174\) 2.43509 + 4.63967i 0.184603 + 0.351733i
\(175\) −2.51849 + 1.73839i −0.190380 + 0.131410i
\(176\) −20.4412 7.75233i −1.54081 0.584354i
\(177\) −5.82054 2.20744i −0.437499 0.165921i
\(178\) 1.77243 14.5973i 0.132850 1.09411i
\(179\) −6.03420 15.9109i −0.451017 1.18923i −0.947094 0.320956i \(-0.895996\pi\)
0.496077 0.868279i \(-0.334773\pi\)
\(180\) −9.34741 + 1.13498i −0.696715 + 0.0845965i
\(181\) −12.8815 + 6.76073i −0.957473 + 0.502521i −0.869679 0.493618i \(-0.835674\pi\)
−0.0877944 + 0.996139i \(0.527982\pi\)
\(182\) −16.8219 + 11.9137i −1.24693 + 0.883106i
\(183\) 11.3742 + 5.96965i 0.840806 + 0.441289i
\(184\) 15.5431 + 5.89471i 1.14585 + 0.434564i
\(185\) 12.7636 + 6.69884i 0.938396 + 0.492508i
\(186\) −4.33460 + 11.4294i −0.317828 + 0.838044i
\(187\) 1.84600 7.48951i 0.134993 0.547687i
\(188\) 27.6487i 2.01649i
\(189\) 0.518172 + 2.10231i 0.0376915 + 0.152920i
\(190\) −24.2177 + 9.18457i −1.75694 + 0.666319i
\(191\) −1.67127 −0.120929 −0.0604644 0.998170i \(-0.519258\pi\)
−0.0604644 + 0.998170i \(0.519258\pi\)
\(192\) 12.1382 0.876002
\(193\) 5.05256 1.91618i 0.363691 0.137930i −0.165988 0.986128i \(-0.553081\pi\)
0.529680 + 0.848198i \(0.322312\pi\)
\(194\) −21.0232 + 30.4573i −1.50938 + 2.18671i
\(195\) 5.05607 4.58942i 0.362072 0.328655i
\(196\) −6.52938 9.45944i −0.466384 0.675674i
\(197\) −15.3287 10.5806i −1.09212 0.753837i −0.121055 0.992646i \(-0.538628\pi\)
−0.971067 + 0.238809i \(0.923243\pi\)
\(198\) 0.645682 5.31767i 0.0458866 0.377910i
\(199\) −12.2944 6.45261i −0.871528 0.457413i −0.0312138 0.999513i \(-0.509937\pi\)
−0.840314 + 0.542100i \(0.817630\pi\)
\(200\) −9.12749 + 6.30025i −0.645411 + 0.445495i
\(201\) −6.60277 4.55756i −0.465724 0.321466i
\(202\) 6.74674 7.61550i 0.474699 0.535824i
\(203\) −1.99683 + 3.80464i −0.140150 + 0.267034i
\(204\) 2.27866 + 18.7665i 0.159538 + 1.31392i
\(205\) 3.63529 9.58547i 0.253900 0.669478i
\(206\) 31.3819 21.6614i 2.18648 1.50922i
\(207\) −0.255343 + 2.10294i −0.0177475 + 0.146164i
\(208\) −31.7074 + 22.4560i −2.19851 + 1.55705i
\(209\) −1.26659 10.4313i −0.0876117 0.721547i
\(210\) −7.17990 8.10443i −0.495460 0.559259i
\(211\) 9.77032 2.40817i 0.672617 0.165785i 0.111807 0.993730i \(-0.464336\pi\)
0.560810 + 0.827945i \(0.310490\pi\)
\(212\) −31.4469 + 45.5587i −2.15978 + 3.12898i
\(213\) 13.6546 + 1.65797i 0.935600 + 0.113602i
\(214\) 41.8537 15.8730i 2.86106 1.08506i
\(215\) −4.89451 0.594301i −0.333803 0.0405310i
\(216\) 1.87795 + 7.61916i 0.127779 + 0.518418i
\(217\) −9.73250 + 2.39884i −0.660685 + 0.162844i
\(218\) 33.4892 + 29.6689i 2.26818 + 2.00943i
\(219\) −4.70469 + 5.31050i −0.317913 + 0.358850i
\(220\) 6.77388 + 17.8613i 0.456695 + 1.20421i
\(221\) −9.21402 10.1509i −0.619802 0.682823i
\(222\) 7.12658 18.7912i 0.478304 1.26119i
\(223\) 1.19649 + 2.27972i 0.0801229 + 0.152661i 0.922221 0.386663i \(-0.126372\pi\)
−0.842098 + 0.539324i \(0.818680\pi\)
\(224\) 15.6940 + 22.7367i 1.04860 + 1.51916i
\(225\) −1.05790 0.937217i −0.0705267 0.0624812i
\(226\) 36.4514 + 41.1451i 2.42471 + 2.73693i
\(227\) 1.71773 6.96910i 0.114010 0.462556i −0.885990 0.463705i \(-0.846520\pi\)
0.999999 + 0.00114950i \(0.000365899\pi\)
\(228\) 11.9677 + 22.8026i 0.792582 + 1.51014i
\(229\) 11.3862 + 7.85936i 0.752424 + 0.519361i 0.881448 0.472281i \(-0.156569\pi\)
−0.129024 + 0.991641i \(0.541184\pi\)
\(230\) −3.75639 9.90478i −0.247689 0.653102i
\(231\) 3.88950 2.04137i 0.255910 0.134312i
\(232\) −7.23689 + 13.7887i −0.475125 + 0.905275i
\(233\) 1.83896 + 1.62918i 0.120474 + 0.106731i 0.721209 0.692718i \(-0.243587\pi\)
−0.600735 + 0.799448i \(0.705125\pi\)
\(234\) −7.20170 6.22660i −0.470790 0.407045i
\(235\) 7.88304 6.98376i 0.514233 0.455570i
\(236\) −7.40696 30.0512i −0.482152 1.95617i
\(237\) −5.56685 + 8.06497i −0.361605 + 0.523876i
\(238\) −16.2710 + 14.4148i −1.05469 + 0.934376i
\(239\) 12.0666i 0.780525i −0.920704 0.390262i \(-0.872384\pi\)
0.920704 0.390262i \(-0.127616\pi\)
\(240\) −13.5333 15.2759i −0.873570 0.986056i
\(241\) −8.75776 + 16.6865i −0.564137 + 1.07487i 0.421632 + 0.906767i \(0.361457\pi\)
−0.985769 + 0.168106i \(0.946235\pi\)
\(242\) 18.0450 2.19106i 1.15997 0.140846i
\(243\) −0.885456 + 0.464723i −0.0568020 + 0.0298120i
\(244\) 7.69836 + 63.4017i 0.492837 + 4.05888i
\(245\) −1.04777 + 4.25097i −0.0669396 + 0.271584i
\(246\) −13.8777 3.42056i −0.884812 0.218087i
\(247\) −16.6396 8.47851i −1.05875 0.539475i
\(248\) −35.2724 + 8.69386i −2.23980 + 0.552061i
\(249\) 1.33230i 0.0844310i
\(250\) 31.1386 + 7.67497i 1.96938 + 0.485408i
\(251\) 9.98667 + 14.4682i 0.630353 + 0.913224i 0.999872 0.0159989i \(-0.00509283\pi\)
−0.369519 + 0.929223i \(0.620477\pi\)
\(252\) −7.13874 + 8.05797i −0.449698 + 0.507604i
\(253\) 4.26628 0.518020i 0.268219 0.0325677i
\(254\) −29.7557 + 3.61300i −1.86704 + 0.226700i
\(255\) 4.77503 5.38989i 0.299024 0.337528i
\(256\) −3.99394 5.78621i −0.249621 0.361638i
\(257\) 11.1800 + 2.75562i 0.697389 + 0.171891i 0.572045 0.820222i \(-0.306150\pi\)
0.125344 + 0.992113i \(0.459997\pi\)
\(258\) 6.87414i 0.427966i
\(259\) 16.0013 3.94398i 0.994275 0.245067i
\(260\) 33.0593 + 7.72624i 2.05025 + 0.479161i
\(261\) −1.92680 0.474914i −0.119266 0.0293964i
\(262\) −9.44961 + 38.3386i −0.583799 + 2.36856i
\(263\) −3.71718 30.6137i −0.229211 1.88772i −0.422171 0.906516i \(-0.638732\pi\)
0.192960 0.981207i \(-0.438191\pi\)
\(264\) 14.0963 7.39829i 0.867565 0.455333i
\(265\) 20.9326 2.54167i 1.28588 0.156134i
\(266\) −13.7615 + 26.2204i −0.843773 + 1.60768i
\(267\) 3.69291 + 4.16843i 0.226002 + 0.255104i
\(268\) 39.8896i 2.43664i
\(269\) 5.19354 4.60108i 0.316656 0.280533i −0.489790 0.871840i \(-0.662927\pi\)
0.806446 + 0.591308i \(0.201388\pi\)
\(270\) 2.84066 4.11541i 0.172877 0.250456i
\(271\) −5.91059 23.9802i −0.359043 1.45669i −0.821580 0.570093i \(-0.806907\pi\)
0.462538 0.886600i \(-0.346939\pi\)
\(272\) −30.6690 + 27.1703i −1.85958 + 1.64744i
\(273\) 0.847378 7.76071i 0.0512856 0.469699i
\(274\) −22.4389 19.8792i −1.35559 1.20094i
\(275\) −1.33249 + 2.53885i −0.0803522 + 0.153098i
\(276\) −9.32600 + 4.89466i −0.561359 + 0.294624i
\(277\) −9.10187 23.9997i −0.546879 1.44200i −0.868766 0.495223i \(-0.835087\pi\)
0.321887 0.946778i \(-0.395683\pi\)
\(278\) −18.1892 12.5551i −1.09092 0.753006i
\(279\) −2.15140 4.09916i −0.128801 0.245410i
\(280\) 7.70075 31.2432i 0.460208 1.86714i
\(281\) 3.98059 + 4.49316i 0.237462 + 0.268039i 0.855146 0.518387i \(-0.173467\pi\)
−0.617684 + 0.786426i \(0.711929\pi\)
\(282\) −10.9907 9.73690i −0.654486 0.579824i
\(283\) 15.6070 + 22.6107i 0.927740 + 1.34406i 0.938923 + 0.344126i \(0.111825\pi\)
−0.0111829 + 0.999937i \(0.503560\pi\)
\(284\) 31.7817 + 60.5549i 1.88590 + 3.59327i
\(285\) 3.47843 9.17185i 0.206044 0.543294i
\(286\) −8.76852 + 17.2088i −0.518494 + 1.01758i
\(287\) −4.15621 10.9590i −0.245333 0.646890i
\(288\) −8.46108 + 9.55059i −0.498574 + 0.562774i
\(289\) 1.90358 + 1.68643i 0.111975 + 0.0992016i
\(290\) 9.63515 2.37485i 0.565796 0.139456i
\(291\) −3.35425 13.6087i −0.196630 0.797758i
\(292\) −35.0174 4.25188i −2.04924 0.248822i
\(293\) −22.4829 + 8.52663i −1.31346 + 0.498131i −0.909142 0.416486i \(-0.863261\pi\)
−0.404321 + 0.914617i \(0.632492\pi\)
\(294\) 6.05965 + 0.735775i 0.353406 + 0.0429113i
\(295\) −6.69711 + 9.70244i −0.389921 + 0.564898i
\(296\) 57.9918 14.2937i 3.37071 0.830805i
\(297\) 1.34529 + 1.51852i 0.0780619 + 0.0881136i
\(298\) −6.32644 52.1029i −0.366481 3.01824i
\(299\) 3.46762 6.80541i 0.200537 0.393567i
\(300\) 0.847013 6.97578i 0.0489023 0.402747i
\(301\) −4.63913 + 3.20216i −0.267395 + 0.184570i
\(302\) 1.51366 3.99119i 0.0871013 0.229667i
\(303\) 0.464454 + 3.82513i 0.0266822 + 0.219748i
\(304\) −25.9389 + 49.4224i −1.48770 + 2.83457i
\(305\) 16.1322 18.2095i 0.923727 1.04267i
\(306\) −8.26236 5.70310i −0.472328 0.326024i
\(307\) −0.478480 + 0.330271i −0.0273083 + 0.0188496i −0.581641 0.813446i \(-0.697589\pi\)
0.554332 + 0.832295i \(0.312974\pi\)
\(308\) 19.3383 + 10.1495i 1.10190 + 0.578322i
\(309\) −1.74073 + 14.3362i −0.0990266 + 0.815558i
\(310\) 19.0520 + 13.1506i 1.08208 + 0.746906i
\(311\) −11.1724 16.1860i −0.633530 0.917826i 0.366390 0.930461i \(-0.380594\pi\)
−0.999920 + 0.0126348i \(0.995978\pi\)
\(312\) 3.07105 28.1262i 0.173864 1.59234i
\(313\) 4.82215 6.98609i 0.272564 0.394877i −0.662668 0.748914i \(-0.730576\pi\)
0.935232 + 0.354037i \(0.115191\pi\)
\(314\) 8.04522 3.05115i 0.454018 0.172186i
\(315\) 4.10061 0.231043
\(316\) −48.7232 −2.74089
\(317\) 6.05049 2.29465i 0.339829 0.128880i −0.178786 0.983888i \(-0.557217\pi\)
0.518615 + 0.855008i \(0.326448\pi\)
\(318\) −7.03563 28.5447i −0.394538 1.60071i
\(319\) 4.02594i 0.225409i
\(320\) 5.50138 22.3200i 0.307537 1.24772i
\(321\) −6.01151 + 15.8510i −0.335530 + 0.884719i
\(322\) −10.7238 5.62831i −0.597617 0.313653i
\(323\) −18.4140 6.98352i −1.02458 0.388573i
\(324\) −4.40242 2.31057i −0.244579 0.128365i
\(325\) 2.42247 + 4.48325i 0.134374 + 0.248686i
\(326\) −9.12823 + 4.79086i −0.505566 + 0.265341i
\(327\) −16.8210 + 2.04244i −0.930206 + 0.112947i
\(328\) −15.0629 39.7175i −0.831708 2.19303i
\(329\) 1.45135 11.9530i 0.0800157 0.658988i
\(330\) −9.48558 3.59741i −0.522164 0.198031i
\(331\) 9.35119 + 3.54644i 0.513988 + 0.194930i 0.597941 0.801540i \(-0.295986\pi\)
−0.0839537 + 0.996470i \(0.526755\pi\)
\(332\) 5.45151 3.76291i 0.299191 0.206516i
\(333\) 3.53716 + 6.73949i 0.193835 + 0.369322i
\(334\) 37.8170 + 9.32105i 2.06925 + 0.510025i
\(335\) −11.3731 + 10.0757i −0.621378 + 0.550493i
\(336\) −23.1627 2.81246i −1.26363 0.153432i
\(337\) −11.5521 −0.629282 −0.314641 0.949211i \(-0.601884\pi\)
−0.314641 + 0.949211i \(0.601884\pi\)
\(338\) 16.6811 + 29.9999i 0.907334 + 1.63178i
\(339\) −20.8183 −1.13069
\(340\) 35.5409 + 4.31544i 1.92747 + 0.234038i
\(341\) −7.02990 + 6.22795i −0.380690 + 0.337262i
\(342\) −13.2789 3.27296i −0.718041 0.176981i
\(343\) 9.36982 + 17.8527i 0.505922 + 0.963955i
\(344\) −16.8131 + 11.6052i −0.906501 + 0.625712i
\(345\) 3.75119 + 1.42264i 0.201957 + 0.0765922i
\(346\) −40.3112 15.2880i −2.16714 0.821889i
\(347\) −0.384707 + 3.16835i −0.0206521 + 0.170086i −0.999386 0.0350507i \(-0.988841\pi\)
0.978733 + 0.205136i \(0.0657638\pi\)
\(348\) −3.49875 9.22545i −0.187553 0.494536i
\(349\) −30.2401 + 3.67182i −1.61872 + 0.196548i −0.879153 0.476539i \(-0.841891\pi\)
−0.739563 + 0.673087i \(0.764968\pi\)
\(350\) 7.15473 3.75509i 0.382436 0.200718i
\(351\) 3.57376 0.477781i 0.190753 0.0255021i
\(352\) 22.9204 + 12.0296i 1.22166 + 0.641178i
\(353\) 12.3017 + 4.66541i 0.654752 + 0.248315i 0.659535 0.751674i \(-0.270753\pi\)
−0.00478297 + 0.999989i \(0.501522\pi\)
\(354\) 14.5542 + 7.63862i 0.773546 + 0.405988i
\(355\) 9.23737 24.3569i 0.490268 1.29273i
\(356\) −6.62629 + 26.8839i −0.351192 + 1.42484i
\(357\) 8.23265i 0.435718i
\(358\) 10.7528 + 43.6259i 0.568304 + 2.30570i
\(359\) 22.2709 8.44622i 1.17541 0.445775i 0.311905 0.950113i \(-0.399033\pi\)
0.863506 + 0.504339i \(0.168264\pi\)
\(360\) 14.8614 0.783263
\(361\) −7.82784 −0.411991
\(362\) 35.9165 13.6213i 1.88773 0.715922i
\(363\) −3.91071 + 5.66565i −0.205259 + 0.297369i
\(364\) 34.1487 18.4518i 1.78988 0.967139i
\(365\) 7.63273 + 11.0579i 0.399515 + 0.578798i
\(366\) −27.9140 19.2676i −1.45909 1.00714i
\(367\) −0.938834 + 7.73199i −0.0490067 + 0.403607i 0.947477 + 0.319823i \(0.103624\pi\)
−0.996484 + 0.0837835i \(0.973300\pi\)
\(368\) −20.2132 10.6087i −1.05369 0.553017i
\(369\) 4.45493 3.07501i 0.231914 0.160079i
\(370\) −31.3237 21.6212i −1.62844 1.12403i
\(371\) 15.9865 18.0450i 0.829976 0.936849i
\(372\) 10.6966 20.3807i 0.554594 1.05669i
\(373\) 4.64249 + 38.2344i 0.240379 + 1.97970i 0.195477 + 0.980708i \(0.437375\pi\)
0.0449025 + 0.998991i \(0.485702\pi\)
\(374\) −7.22239 + 19.0439i −0.373461 + 0.984736i
\(375\) −9.99587 + 6.89965i −0.516185 + 0.356297i
\(376\) 5.25997 43.3198i 0.271262 2.23405i
\(377\) 5.93717 + 3.99317i 0.305780 + 0.205659i
\(378\) −0.689126 5.67546i −0.0354448 0.291914i
\(379\) −10.3222 11.6514i −0.530218 0.598493i 0.420981 0.907069i \(-0.361686\pi\)
−0.951199 + 0.308577i \(0.900147\pi\)
\(380\) 47.3539 11.6717i 2.42920 0.598745i
\(381\) 6.44868 9.34252i 0.330376 0.478632i
\(382\) 4.38071 + 0.531915i 0.224137 + 0.0272151i
\(383\) 26.6449 10.1051i 1.36149 0.516345i 0.437657 0.899142i \(-0.355808\pi\)
0.923832 + 0.382797i \(0.125039\pi\)
\(384\) −6.48375 0.787270i −0.330873 0.0401752i
\(385\) −1.99087 8.07728i −0.101464 0.411656i
\(386\) −13.8536 + 3.41460i −0.705128 + 0.173798i
\(387\) −1.94868 1.72638i −0.0990570 0.0877568i
\(388\) 46.2107 52.1611i 2.34599 2.64808i
\(389\) 5.61250 + 14.7989i 0.284565 + 0.750336i 0.998731 + 0.0503601i \(0.0160369\pi\)
−0.714166 + 0.699976i \(0.753194\pi\)
\(390\) −14.7136 + 10.4205i −0.745051 + 0.527665i
\(391\) 2.85618 7.53113i 0.144443 0.380866i
\(392\) 8.43058 + 16.0631i 0.425809 + 0.811311i
\(393\) −8.49502 12.3072i −0.428517 0.620814i
\(394\) 36.8118 + 32.6124i 1.85455 + 1.64299i
\(395\) 12.3069 + 13.8917i 0.619230 + 0.698966i
\(396\) −2.41390 + 9.79357i −0.121303 + 0.492145i
\(397\) 4.23116 + 8.06180i 0.212356 + 0.404610i 0.968213 0.250126i \(-0.0804721\pi\)
−0.755858 + 0.654736i \(0.772780\pi\)
\(398\) 30.1723 + 20.8264i 1.51240 + 1.04394i
\(399\) −3.97686 10.4861i −0.199092 0.524963i
\(400\) 13.4858 7.07791i 0.674292 0.353896i
\(401\) −9.63785 + 18.3634i −0.481291 + 0.917024i 0.516850 + 0.856076i \(0.327105\pi\)
−0.998141 + 0.0609476i \(0.980588\pi\)
\(402\) 15.8566 + 14.0477i 0.790854 + 0.700635i
\(403\) 2.21186 + 16.5445i 0.110180 + 0.824138i
\(404\) −14.3399 + 12.7040i −0.713437 + 0.632050i
\(405\) 0.453228 + 1.83882i 0.0225211 + 0.0913715i
\(406\) 6.44498 9.33716i 0.319859 0.463395i
\(407\) 11.5580 10.2395i 0.572907 0.507551i
\(408\) 29.8367i 1.47714i
\(409\) −2.63532 2.97466i −0.130308 0.147087i 0.679735 0.733458i \(-0.262095\pi\)
−0.810043 + 0.586370i \(0.800556\pi\)
\(410\) −12.5795 + 23.9683i −0.621259 + 1.18371i
\(411\) 11.2707 1.36851i 0.555941 0.0675035i
\(412\) −63.5775 + 33.3680i −3.13224 + 1.64393i
\(413\) 1.62468 + 13.3804i 0.0799451 + 0.658407i
\(414\) 1.33860 5.43092i 0.0657887 0.266915i
\(415\) −2.44985 0.603834i −0.120259 0.0296411i
\(416\) 40.4742 21.8698i 1.98441 1.07225i
\(417\) 8.12718 2.00317i 0.397990 0.0980957i
\(418\) 27.7455i 1.35708i
\(419\) −3.58272 0.883060i −0.175027 0.0431403i 0.150828 0.988560i \(-0.451806\pi\)
−0.325855 + 0.945420i \(0.605652\pi\)
\(420\) 11.5817 + 16.7789i 0.565127 + 0.818727i
\(421\) −23.6073 + 26.6471i −1.15055 + 1.29870i −0.202967 + 0.979186i \(0.565058\pi\)
−0.947581 + 0.319514i \(0.896480\pi\)
\(422\) −26.3763 + 3.20266i −1.28398 + 0.155903i
\(423\) 5.52042 0.670301i 0.268412 0.0325911i
\(424\) 57.9379 65.3984i 2.81371 3.17603i
\(425\) 3.05268 + 4.42257i 0.148077 + 0.214526i
\(426\) −35.2637 8.69172i −1.70853 0.421115i
\(427\) 27.8136i 1.34600i
\(428\) −81.8382 + 20.1713i −3.95580 + 0.975017i
\(429\) −2.67620 6.80753i −0.129208 0.328670i
\(430\) 12.6403 + 3.11555i 0.609569 + 0.150245i
\(431\) 2.06497 8.37791i 0.0994661 0.403550i −0.900012 0.435866i \(-0.856442\pi\)
0.999478 + 0.0323161i \(0.0102883\pi\)
\(432\) −1.29892 10.6976i −0.0624945 0.514688i
\(433\) 18.7496 9.84057i 0.901050 0.472908i 0.0504536 0.998726i \(-0.483933\pi\)
0.850597 + 0.525819i \(0.176241\pi\)
\(434\) 26.2742 3.19026i 1.26120 0.153138i
\(435\) −1.74656 + 3.32779i −0.0837411 + 0.159555i
\(436\) −55.8662 63.0599i −2.67551 3.02002i
\(437\) 10.9723i 0.524876i
\(438\) 14.0220 12.4224i 0.669999 0.593568i
\(439\) 5.61216 8.13061i 0.267854 0.388053i −0.665858 0.746078i \(-0.731934\pi\)
0.933712 + 0.358025i \(0.116550\pi\)
\(440\) −7.21528 29.2735i −0.343975 1.39556i
\(441\) −1.73040 + 1.53300i −0.0824002 + 0.0730002i
\(442\) 20.9210 + 29.5399i 0.995109 + 1.40507i
\(443\) −9.19129 8.14277i −0.436691 0.386875i 0.415936 0.909394i \(-0.363454\pi\)
−0.852628 + 0.522519i \(0.824992\pi\)
\(444\) −17.5865 + 33.5082i −0.834617 + 1.59023i
\(445\) 9.33871 4.90133i 0.442697 0.232345i
\(446\) −2.41066 6.35638i −0.114148 0.300983i
\(447\) 16.3589 + 11.2918i 0.773751 + 0.534082i
\(448\) −12.2139 23.2716i −0.577051 1.09948i
\(449\) −7.35379 + 29.8355i −0.347047 + 1.40802i 0.495129 + 0.868820i \(0.335121\pi\)
−0.842175 + 0.539204i \(0.818725\pi\)
\(450\) 2.47467 + 2.79332i 0.116657 + 0.131678i
\(451\) −8.21998 7.28226i −0.387064 0.342908i
\(452\) −58.7985 85.1844i −2.76565 4.00674i
\(453\) 0.751279 + 1.43144i 0.0352982 + 0.0672550i
\(454\) −6.72055 + 17.7206i −0.315411 + 0.831670i
\(455\) −13.8865 5.07554i −0.651007 0.237945i
\(456\) −14.4129 38.0037i −0.674946 1.77969i
\(457\) −1.04713 + 1.18197i −0.0489827 + 0.0552901i −0.772491 0.635025i \(-0.780990\pi\)
0.723509 + 0.690315i \(0.242528\pi\)
\(458\) −27.3441 24.2247i −1.27771 1.13195i
\(459\) 3.69173 0.909930i 0.172315 0.0424719i
\(460\) 4.77359 + 19.3672i 0.222570 + 0.903000i
\(461\) −2.72288 0.330618i −0.126817 0.0153984i 0.0568819 0.998381i \(-0.481884\pi\)
−0.183699 + 0.982983i \(0.558807\pi\)
\(462\) −10.8448 + 4.11289i −0.504546 + 0.191349i
\(463\) −9.47008 1.14988i −0.440112 0.0534392i −0.102518 0.994731i \(-0.532690\pi\)
−0.337594 + 0.941292i \(0.609613\pi\)
\(464\) 12.1480 17.5995i 0.563958 0.817035i
\(465\) −8.51268 + 2.09819i −0.394766 + 0.0973011i
\(466\) −4.30174 4.85567i −0.199274 0.224934i
\(467\) −1.52667 12.5733i −0.0706460 0.581822i −0.984450 0.175666i \(-0.943792\pi\)
0.913804 0.406156i \(-0.133131\pi\)
\(468\) 12.0486 + 13.2737i 0.556947 + 0.613577i
\(469\) −2.09391 + 17.2449i −0.0966877 + 0.796295i
\(470\) −22.8856 + 15.7968i −1.05564 + 0.728653i
\(471\) −1.15555 + 3.04692i −0.0532448 + 0.140395i
\(472\) 5.88813 + 48.4931i 0.271023 + 2.23208i
\(473\) −2.45448 + 4.67663i −0.112857 + 0.215032i
\(474\) 17.1586 19.3680i 0.788120 0.889603i
\(475\) 6.02463 + 4.15850i 0.276429 + 0.190805i
\(476\) 33.6865 23.2521i 1.54402 1.06576i
\(477\) 9.85876 + 5.17428i 0.451402 + 0.236914i
\(478\) −3.84044 + 31.6289i −0.175658 + 1.44667i
\(479\) −33.6696 23.2405i −1.53841 1.06188i −0.971187 0.238317i \(-0.923404\pi\)
−0.567218 0.823568i \(-0.691980\pi\)
\(480\) 13.7270 + 19.8870i 0.626548 + 0.907712i
\(481\) −3.63655 27.2010i −0.165812 1.24026i
\(482\) 28.2665 40.9511i 1.28751 1.86527i
\(483\) 4.28871 1.62649i 0.195143 0.0740080i
\(484\) −34.2281 −1.55582
\(485\) −26.5442 −1.20531
\(486\) 2.46885 0.936313i 0.111989 0.0424720i
\(487\) 4.01026 + 16.2703i 0.181722 + 0.737276i 0.989100 + 0.147242i \(0.0470397\pi\)
−0.807378 + 0.590034i \(0.799114\pi\)
\(488\) 100.802i 4.56308i
\(489\) 0.934360 3.79085i 0.0422532 0.171428i
\(490\) 4.09936 10.8091i 0.185190 0.488306i
\(491\) 15.8778 + 8.33332i 0.716555 + 0.376077i 0.783259 0.621696i \(-0.213556\pi\)
−0.0667035 + 0.997773i \(0.521248\pi\)
\(492\) 25.1648 + 9.54373i 1.13451 + 0.430265i
\(493\) 6.68109 + 3.50651i 0.300901 + 0.157925i
\(494\) 40.9171 + 27.5197i 1.84095 + 1.23817i
\(495\) 3.40201 1.78551i 0.152909 0.0802528i
\(496\) 49.5238 6.01328i 2.22368 0.270004i
\(497\) −10.5610 27.8471i −0.473727 1.24912i
\(498\) −0.424030 + 3.49220i −0.0190013 + 0.156489i
\(499\) 7.71729 + 2.92678i 0.345473 + 0.131021i 0.521238 0.853411i \(-0.325470\pi\)
−0.175764 + 0.984432i \(0.556240\pi\)
\(500\) −56.4642 21.4140i −2.52515 0.957665i
\(501\) −12.1397 + 8.37945i −0.542363 + 0.374366i
\(502\) −21.5722 41.1023i −0.962813 1.83449i
\(503\) −17.2956 4.26298i −0.771171 0.190077i −0.165950 0.986134i \(-0.553069\pi\)
−0.605221 + 0.796057i \(0.706915\pi\)
\(504\) 12.7179 11.2671i 0.566500 0.501875i
\(505\) 7.24421 + 0.879606i 0.322363 + 0.0391420i
\(506\) −11.3476 −0.504462
\(507\) −12.6937 2.80545i −0.563746 0.124594i
\(508\) 56.4413 2.50418
\(509\) 2.99184 + 0.363275i 0.132611 + 0.0161019i 0.186573 0.982441i \(-0.440262\pi\)
−0.0539620 + 0.998543i \(0.517185\pi\)
\(510\) −14.2317 + 12.6082i −0.630189 + 0.558299i
\(511\) 14.9154 + 3.67630i 0.659816 + 0.162630i
\(512\) 14.6978 + 28.0044i 0.649559 + 1.23763i
\(513\) 4.26269 2.94233i 0.188203 0.129907i
\(514\) −28.4278 10.7813i −1.25390 0.475541i
\(515\) 25.5727 + 9.69844i 1.12687 + 0.427364i
\(516\) 1.56022 12.8496i 0.0686849 0.565671i
\(517\) −4.00054 10.5486i −0.175943 0.463925i
\(518\) −43.1978 + 5.24516i −1.89800 + 0.230459i
\(519\) 14.4576 7.58795i 0.634619 0.333074i
\(520\) −50.3271 18.3947i −2.20699 0.806661i
\(521\) −21.1832 11.1178i −0.928054 0.487080i −0.0682295 0.997670i \(-0.521735\pi\)
−0.859825 + 0.510589i \(0.829427\pi\)
\(522\) 4.89936 + 1.85808i 0.214439 + 0.0813260i
\(523\) 33.0424 + 17.3420i 1.44484 + 0.758312i 0.991137 0.132840i \(-0.0424098\pi\)
0.453705 + 0.891152i \(0.350102\pi\)
\(524\) 26.3655 69.5200i 1.15178 3.03700i
\(525\) −0.732354 + 2.97128i −0.0319625 + 0.129677i
\(526\) 81.4274i 3.55040i
\(527\) 4.21246 + 17.0906i 0.183498 + 0.744479i
\(528\) −20.4412 + 7.75233i −0.889590 + 0.337377i
\(529\) −18.5125 −0.804890
\(530\) −55.6771 −2.41846
\(531\) −5.82054 + 2.20744i −0.252590 + 0.0957948i
\(532\) 31.6751 45.8893i 1.37329 1.98955i
\(533\) −18.8924 + 4.89925i −0.818322 + 0.212210i
\(534\) −8.35312 12.1016i −0.361475 0.523687i
\(535\) 26.4226 + 18.2382i 1.14235 + 0.788506i
\(536\) −7.58871 + 62.4986i −0.327782 + 2.69953i
\(537\) −15.0675 7.90805i −0.650212 0.341257i
\(538\) −15.0776 + 10.4073i −0.650043 + 0.448692i
\(539\) 3.85979 + 2.66422i 0.166253 + 0.114756i
\(540\) −6.24401 + 7.04803i −0.268699 + 0.303299i
\(541\) −14.9968 + 28.5741i −0.644764 + 1.22850i 0.315373 + 0.948968i \(0.397870\pi\)
−0.960138 + 0.279528i \(0.909822\pi\)
\(542\) 7.86059 + 64.7377i 0.337641 + 2.78072i
\(543\) −5.15874 + 13.6025i −0.221383 + 0.583738i
\(544\) 39.9264 27.5592i 1.71183 1.18159i
\(545\) −3.86808 + 31.8565i −0.165690 + 1.36458i
\(546\) −4.69114 + 20.0726i −0.200762 + 0.859027i
\(547\) 2.04186 + 16.8162i 0.0873036 + 0.719010i 0.968977 + 0.247150i \(0.0794941\pi\)
−0.881674 + 0.471860i \(0.843583\pi\)
\(548\) 37.4322 + 42.2523i 1.59903 + 1.80493i
\(549\) 12.4723 3.07415i 0.532306 0.131202i
\(550\) 4.30075 6.23071i 0.183384 0.265678i
\(551\) 10.2037 + 1.23896i 0.434693 + 0.0527813i
\(552\) 15.5431 5.89471i 0.661557 0.250896i
\(553\) 21.0638 + 2.55761i 0.895723 + 0.108760i
\(554\) 16.2194 + 65.8045i 0.689094 + 2.79577i
\(555\) 13.9958 3.44966i 0.594089 0.146430i
\(556\) 31.1508 + 27.5972i 1.32109 + 1.17038i
\(557\) −4.87475 + 5.50245i −0.206550 + 0.233146i −0.842652 0.538458i \(-0.819007\pi\)
0.636103 + 0.771604i \(0.280545\pi\)
\(558\) 4.33460 + 11.4294i 0.183498 + 0.483845i
\(559\) 4.46225 + 8.25826i 0.188733 + 0.349287i
\(560\) −15.6696 + 41.3173i −0.662161 + 1.74597i
\(561\) −3.58471 6.83010i −0.151347 0.288367i
\(562\) −9.00384 13.0443i −0.379804 0.550241i
\(563\) −8.19552 7.26060i −0.345400 0.305998i 0.472531 0.881314i \(-0.343340\pi\)
−0.817931 + 0.575316i \(0.804879\pi\)
\(564\) 18.3345 + 20.6954i 0.772021 + 0.871432i
\(565\) −9.43541 + 38.2809i −0.396951 + 1.61049i
\(566\) −33.7126 64.2340i −1.41705 2.69996i
\(567\) 1.78195 + 1.22999i 0.0748347 + 0.0516547i
\(568\) −38.2751 100.923i −1.60599 4.23464i
\(569\) −18.9718 + 9.95715i −0.795337 + 0.417425i −0.812888 0.582421i \(-0.802106\pi\)
0.0175501 + 0.999846i \(0.494413\pi\)
\(570\) −12.0367 + 22.9341i −0.504163 + 0.960603i
\(571\) 18.9482 + 16.7867i 0.792958 + 0.702500i 0.958934 0.283630i \(-0.0915388\pi\)
−0.165975 + 0.986130i \(0.553077\pi\)
\(572\) 20.2965 30.1775i 0.848640 1.26178i
\(573\) −1.25096 + 1.10826i −0.0522597 + 0.0462981i
\(574\) 7.40627 + 30.0484i 0.309132 + 1.25420i
\(575\) −1.70078 + 2.46401i −0.0709275 + 0.102756i
\(576\) 9.08560 8.04914i 0.378567 0.335381i
\(577\) 6.98826i 0.290925i 0.989364 + 0.145462i \(0.0464670\pi\)
−0.989364 + 0.145462i \(0.953533\pi\)
\(578\) −4.45291 5.02630i −0.185217 0.209066i
\(579\) 2.51123 4.78475i 0.104363 0.198847i
\(580\) −18.5496 + 2.25233i −0.770231 + 0.0935230i
\(581\) −2.55430 + 1.34060i −0.105970 + 0.0556174i
\(582\) 4.46087 + 36.7386i 0.184909 + 1.52286i
\(583\) 5.40567 21.9317i 0.223880 0.908317i
\(584\) 54.0560 + 13.3236i 2.23685 + 0.551335i
\(585\) 0.741172 6.78802i 0.0306437 0.280650i
\(586\) 61.6456 15.1943i 2.54656 0.627670i
\(587\) 37.6517i 1.55405i −0.629468 0.777026i \(-0.716727\pi\)
0.629468 0.777026i \(-0.283273\pi\)
\(588\) −11.1601 2.75071i −0.460234 0.113437i
\(589\) 13.6213 + 19.7339i 0.561256 + 0.813119i
\(590\) 20.6424 23.3004i 0.849833 0.959264i
\(591\) −18.4899 + 2.24508i −0.760573 + 0.0923503i
\(592\) −81.4228 + 9.88652i −3.34646 + 0.406333i
\(593\) −10.6960 + 12.0733i −0.439233 + 0.495791i −0.925886 0.377804i \(-0.876679\pi\)
0.486653 + 0.873596i \(0.338218\pi\)
\(594\) −3.04297 4.40850i −0.124854 0.180883i
\(595\) −15.1383 3.73127i −0.620611 0.152967i
\(596\) 98.8298i 4.04823i
\(597\) −13.4814 + 3.32286i −0.551756 + 0.135996i
\(598\) −11.2552 + 16.7346i −0.460261 + 0.684330i
\(599\) 30.4141 + 7.49641i 1.24269 + 0.306295i 0.805240 0.592949i \(-0.202036\pi\)
0.437448 + 0.899244i \(0.355882\pi\)
\(600\) −2.65419 + 10.7685i −0.108357 + 0.439620i
\(601\) −4.15565 34.2248i −0.169512 1.39606i −0.790607 0.612324i \(-0.790235\pi\)
0.621095 0.783736i \(-0.286688\pi\)
\(602\) 13.1792 6.91698i 0.537144 0.281915i
\(603\) −7.96447 + 0.967062i −0.324338 + 0.0393818i
\(604\) −3.73530 + 7.11702i −0.151987 + 0.289587i
\(605\) 8.64564 + 9.75891i 0.351495 + 0.396756i
\(606\) 10.1742i 0.413299i
\(607\) −34.6168 + 30.6678i −1.40505 + 1.24477i −0.473684 + 0.880695i \(0.657076\pi\)
−0.931370 + 0.364075i \(0.881385\pi\)
\(608\) 37.5425 54.3896i 1.52255 2.20579i
\(609\) 1.02830 + 4.17196i 0.0416687 + 0.169056i
\(610\) −48.0810 + 42.5961i −1.94674 + 1.72467i
\(611\) −19.5242 4.56298i −0.789866 0.184599i
\(612\) 14.1501 + 12.5359i 0.571983 + 0.506733i
\(613\) 16.2629 30.9863i 0.656852 1.25153i −0.298035 0.954555i \(-0.596331\pi\)
0.954886 0.296971i \(-0.0959766\pi\)
\(614\) 1.35930 0.713417i 0.0548570 0.0287912i
\(615\) −3.63529 9.58547i −0.146589 0.386524i
\(616\) −28.3682 19.5811i −1.14299 0.788947i
\(617\) −2.04545 3.89728i −0.0823467 0.156898i 0.840801 0.541345i \(-0.182085\pi\)
−0.923147 + 0.384446i \(0.874392\pi\)
\(618\) 9.12556 37.0238i 0.367084 1.48932i
\(619\) 10.9734 + 12.3864i 0.441058 + 0.497851i 0.926436 0.376453i \(-0.122856\pi\)
−0.485378 + 0.874305i \(0.661318\pi\)
\(620\) −32.6284 28.9062i −1.31039 1.16090i
\(621\) 1.20338 + 1.74339i 0.0482899 + 0.0699600i
\(622\) 24.1335 + 45.9825i 0.967665 + 1.84373i
\(623\) 4.27585 11.2745i 0.171308 0.451703i
\(624\) −8.84225 + 37.8345i −0.353973 + 1.51459i
\(625\) 5.65090 + 14.9002i 0.226036 + 0.596008i
\(626\) −14.8632 + 16.7771i −0.594053 + 0.670548i
\(627\) −7.86528 6.96803i −0.314109 0.278276i
\(628\) −15.7311 + 3.87738i −0.627741 + 0.154724i
\(629\) −6.92576 28.0989i −0.276148 1.12038i
\(630\) −10.7485 1.30510i −0.428229 0.0519964i
\(631\) 29.6422 11.2418i 1.18004 0.447529i 0.314929 0.949115i \(-0.398019\pi\)
0.865108 + 0.501586i \(0.167250\pi\)
\(632\) 76.3391 + 9.26924i 3.03661 + 0.368711i
\(633\) 5.71628 8.28146i 0.227202 0.329159i
\(634\) −16.5898 + 4.08901i −0.658864 + 0.162395i
\(635\) −14.2565 16.0922i −0.565750 0.638600i
\(636\) 6.67266 + 54.9543i 0.264588 + 2.17908i
\(637\) 7.75739 3.04961i 0.307359 0.120830i
\(638\) 1.28134 10.5527i 0.0507285 0.417787i
\(639\) 11.3201 7.81369i 0.447816 0.309105i
\(640\) −4.38626 + 11.5656i −0.173382 + 0.457171i
\(641\) 2.67530 + 22.0331i 0.105668 + 0.870256i 0.945098 + 0.326787i \(0.105966\pi\)
−0.839430 + 0.543468i \(0.817111\pi\)
\(642\) 20.8022 39.6353i 0.820997 1.56428i
\(643\) 13.4474 15.1790i 0.530313 0.598600i −0.420911 0.907102i \(-0.638289\pi\)
0.951224 + 0.308503i \(0.0998278\pi\)
\(644\) 18.7682 + 12.9548i 0.739571 + 0.510489i
\(645\) −4.05769 + 2.80082i −0.159771 + 0.110282i
\(646\) 46.0440 + 24.1657i 1.81158 + 0.950788i
\(647\) −0.806596 + 6.64292i −0.0317106 + 0.261160i 0.968228 + 0.250069i \(0.0804534\pi\)
−0.999938 + 0.0110907i \(0.996470\pi\)
\(648\) 6.45810 + 4.45771i 0.253698 + 0.175115i
\(649\) 7.17407 + 10.3934i 0.281607 + 0.407978i
\(650\) −4.92287 12.5224i −0.193091 0.491170i
\(651\) −5.69415 + 8.24940i −0.223171 + 0.323319i
\(652\) 18.1504 6.88355i 0.710826 0.269581i
\(653\) −25.9632 −1.01602 −0.508010 0.861351i \(-0.669619\pi\)
−0.508010 + 0.861351i \(0.669619\pi\)
\(654\) 44.7412 1.74952
\(655\) −26.4808 + 10.0428i −1.03469 + 0.392406i
\(656\) 13.9600 + 56.6378i 0.545045 + 2.21134i
\(657\) 7.09475i 0.276793i
\(658\) −7.60854 + 30.8690i −0.296612 + 1.20340i
\(659\) 3.59899 9.48976i 0.140197 0.369668i −0.846467 0.532442i \(-0.821275\pi\)
0.986664 + 0.162773i \(0.0520439\pi\)
\(660\) 16.9145 + 8.87743i 0.658397 + 0.345553i
\(661\) 13.1839 + 4.99997i 0.512792 + 0.194476i 0.597408 0.801937i \(-0.296197\pi\)
−0.0846161 + 0.996414i \(0.526966\pi\)
\(662\) −23.3825 12.2721i −0.908786 0.476968i
\(663\) −13.6281 1.48803i −0.529271 0.0577901i
\(664\) −9.25726 + 4.85858i −0.359251 + 0.188550i
\(665\) −21.0845 + 2.56012i −0.817621 + 0.0992772i
\(666\) −7.12658 18.7912i −0.276149 0.728146i
\(667\) −0.506719 + 4.17321i −0.0196202 + 0.161587i
\(668\) −68.5743 26.0068i −2.65322 1.00623i
\(669\) 2.40732 + 0.912976i 0.0930724 + 0.0352977i
\(670\) 33.0178 22.7905i 1.27559 0.880475i
\(671\) −12.1108 23.0752i −0.467531 0.890807i
\(672\) 26.8243 + 6.61160i 1.03477 + 0.255048i
\(673\) 11.0807 9.81660i 0.427128 0.378402i −0.421995 0.906598i \(-0.638670\pi\)
0.849122 + 0.528196i \(0.177131\pi\)
\(674\) 30.2802 + 3.67668i 1.16635 + 0.141620i
\(675\) −1.41334 −0.0543995
\(676\) −24.3723 59.8638i −0.937398 2.30245i
\(677\) 20.5565 0.790051 0.395026 0.918670i \(-0.370736\pi\)
0.395026 + 0.918670i \(0.370736\pi\)
\(678\) 54.5686 + 6.62582i 2.09569 + 0.254463i
\(679\) −22.7157 + 20.1243i −0.871748 + 0.772301i
\(680\) −54.8642 13.5228i −2.10394 0.518576i
\(681\) −3.33563 6.35551i −0.127822 0.243544i
\(682\) 20.4089 14.0872i 0.781496 0.539427i
\(683\) 19.9524 + 7.56693i 0.763456 + 0.289541i 0.705435 0.708775i \(-0.250752\pi\)
0.0580208 + 0.998315i \(0.481521\pi\)
\(684\) 24.0789 + 9.13192i 0.920679 + 0.349168i
\(685\) 2.59174 21.3449i 0.0990254 0.815548i
\(686\) −18.8781 49.7774i −0.720768 1.90051i
\(687\) 13.7344 1.66766i 0.524002 0.0636253i
\(688\) 24.8413 13.0377i 0.947064 0.497058i
\(689\) −26.9816 29.7251i −1.02792 1.13244i
\(690\) −9.37978 4.92289i −0.357082 0.187411i
\(691\) −11.8181 4.48202i −0.449582 0.170504i 0.119413 0.992845i \(-0.461899\pi\)
−0.568996 + 0.822341i \(0.692668\pi\)
\(692\) 71.8822 + 37.7267i 2.73255 + 1.43415i
\(693\) 1.55765 4.10720i 0.0591704 0.156020i
\(694\) 2.01678 8.18239i 0.0765559 0.310599i
\(695\) 15.8523i 0.601312i
\(696\) 3.72674 + 15.1200i 0.141262 + 0.573121i
\(697\) −19.2444 + 7.29845i −0.728935 + 0.276448i
\(698\) 80.4337 3.04446
\(699\) 2.45683 0.0929257
\(700\) −14.2263 + 5.39534i −0.537705 + 0.203925i
\(701\) 2.38660 3.45759i 0.0901406 0.130591i −0.775319 0.631570i \(-0.782411\pi\)
0.865460 + 0.500978i \(0.167026\pi\)
\(702\) −9.51955 + 0.114937i −0.359292 + 0.00433800i
\(703\) −22.3950 32.4447i −0.844642 1.22368i
\(704\) −20.2661 13.9887i −0.763807 0.527218i
\(705\) 1.26945 10.4548i 0.0478102 0.393752i
\(706\) −30.7601 16.1442i −1.15767 0.607594i
\(707\) 6.86623 4.73942i 0.258231 0.178244i
\(708\) −25.4718 17.5819i −0.957290 0.660770i
\(709\) −17.5136 + 19.7688i −0.657737 + 0.742432i −0.978843 0.204611i \(-0.934407\pi\)
0.321106 + 0.947043i \(0.395945\pi\)
\(710\) −31.9649 + 60.9041i −1.19962 + 2.28569i
\(711\) 1.18122 + 9.72822i 0.0442992 + 0.364837i
\(712\) 15.4965 40.8609i 0.580755 1.53133i
\(713\) −8.07093 + 5.57096i −0.302259 + 0.208634i
\(714\) −2.62021 + 21.5793i −0.0980587 + 0.807586i
\(715\) −13.7307 + 1.83568i −0.513500 + 0.0686507i
\(716\) −10.1981 83.9887i −0.381120 3.13881i
\(717\) −8.00165 9.03199i −0.298827 0.337306i
\(718\) −61.0643 + 15.0510i −2.27890 + 0.561698i
\(719\) 16.2785 23.5834i 0.607084 0.879513i −0.392099 0.919923i \(-0.628251\pi\)
0.999183 + 0.0404099i \(0.0128664\pi\)
\(720\) −20.2596 2.45996i −0.755031 0.0916774i
\(721\) 29.2371 11.0882i 1.08885 0.412945i
\(722\) 20.5182 + 2.49136i 0.763610 + 0.0927190i
\(723\) 4.50993 + 18.2975i 0.167726 + 0.680491i
\(724\) −70.2290 + 17.3099i −2.61004 + 0.643317i
\(725\) −2.09937 1.85988i −0.0779685 0.0690741i
\(726\) 12.0539 13.6061i 0.447363 0.504968i
\(727\) 0.107469 + 0.283374i 0.00398582 + 0.0105097i 0.936994 0.349344i \(-0.113596\pi\)
−0.933009 + 0.359854i \(0.882826\pi\)
\(728\) −57.0142 + 22.4136i −2.11309 + 0.830705i
\(729\) −0.354605 + 0.935016i −0.0131335 + 0.0346302i
\(730\) −16.4874 31.4142i −0.610227 1.16269i
\(731\) 5.62311 + 8.14649i 0.207978 + 0.301309i
\(732\) 47.8054 + 42.3519i 1.76694 + 1.56537i
\(733\) 18.8078 + 21.2297i 0.694684 + 0.784136i 0.984955 0.172808i \(-0.0552842\pi\)
−0.290272 + 0.956944i \(0.593746\pi\)
\(734\) 4.92172 19.9682i 0.181664 0.737040i
\(735\) 2.03465 + 3.87670i 0.0750491 + 0.142994i
\(736\) 22.2448 + 15.3544i 0.819952 + 0.565972i
\(737\) 5.77169 + 15.2187i 0.212603 + 0.560588i
\(738\) −12.6559 + 6.64232i −0.465869 + 0.244507i
\(739\) −2.92719 + 5.57730i −0.107678 + 0.205164i −0.933333 0.359012i \(-0.883114\pi\)
0.825655 + 0.564176i \(0.190806\pi\)
\(740\) 53.6448 + 47.5251i 1.97202 + 1.74706i
\(741\) −18.0772 + 4.68785i −0.664083 + 0.172212i
\(742\) −47.6467 + 42.2113i −1.74917 + 1.54963i
\(743\) 6.11425 + 24.8065i 0.224310 + 0.910062i 0.969870 + 0.243623i \(0.0783360\pi\)
−0.745560 + 0.666439i \(0.767818\pi\)
\(744\) −20.6367 + 29.8974i −0.756577 + 1.09609i
\(745\) 28.1778 24.9633i 1.03235 0.914586i
\(746\) 101.697i 3.72339i
\(747\) −0.883477 0.997240i −0.0323247 0.0364871i
\(748\) 17.8229 33.9587i 0.651670 1.24165i
\(749\) 36.4388 4.42447i 1.33144 0.161667i
\(750\) 28.3970 14.9039i 1.03691 0.544214i
\(751\) −3.32649 27.3961i −0.121385 0.999699i −0.918377 0.395708i \(-0.870499\pi\)
0.796991 0.603991i \(-0.206424\pi\)
\(752\) −14.3412 + 58.1846i −0.522970 + 2.12177i
\(753\) 17.0693 + 4.20721i 0.622041 + 0.153319i
\(754\) −14.2915 12.3565i −0.520467 0.449996i
\(755\) 2.97266 0.732695i 0.108186 0.0266655i
\(756\) 10.7653i 0.391531i
\(757\) 49.4750 + 12.1945i 1.79820 + 0.443216i 0.989442 0.144928i \(-0.0462951\pi\)
0.808756 + 0.588144i \(0.200141\pi\)
\(758\) 23.3483 + 33.8258i 0.848047 + 1.22861i
\(759\) 2.84985 3.21681i 0.103443 0.116763i
\(760\) −76.4141 + 9.27835i −2.77183 + 0.336561i
\(761\) 4.73937 0.575464i 0.171802 0.0208605i −0.0341835 0.999416i \(-0.510883\pi\)
0.205986 + 0.978555i \(0.433960\pi\)
\(762\) −19.8766 + 22.4361i −0.720054 + 0.812773i
\(763\) 20.8417 + 30.1943i 0.754518 + 1.09311i
\(764\) −8.06797 1.98857i −0.291889 0.0719441i
\(765\) 7.20082i 0.260346i
\(766\) −73.0573 + 18.0070i −2.63967 + 0.650620i
\(767\) 22.4432 0.270973i 0.810376 0.00978428i
\(768\) −6.82647 1.68257i −0.246329 0.0607147i
\(769\) 6.59778 26.7683i 0.237922 0.965288i −0.723525 0.690298i \(-0.757479\pi\)
0.961447 0.274990i \(-0.0886745\pi\)
\(770\) 2.64769 + 21.8057i 0.0954161 + 0.785823i
\(771\) 10.1957 5.35109i 0.367188 0.192715i
\(772\) 26.6709 3.23844i 0.959908 0.116554i
\(773\) −0.659128 + 1.25586i −0.0237072 + 0.0451702i −0.897022 0.441987i \(-0.854274\pi\)
0.873314 + 0.487157i \(0.161966\pi\)
\(774\) 4.55840 + 5.14537i 0.163848 + 0.184947i
\(775\) 6.54296i 0.235030i
\(776\) −82.3258 + 72.9343i −2.95532 + 2.61819i
\(777\) 9.36183 13.5630i 0.335854 0.486568i
\(778\) −10.0014 40.5771i −0.358566 1.45476i
\(779\) −20.9865 + 18.5924i −0.751920 + 0.666143i
\(780\) 29.8687 16.1392i 1.06947 0.577875i
\(781\) −20.8872 18.5044i −0.747402 0.662140i
\(782\) −9.88352 + 18.8315i −0.353434 + 0.673412i
\(783\) −1.75716 + 0.922228i −0.0627957 + 0.0329577i
\(784\) −8.83402 23.2934i −0.315501 0.831907i
\(785\) 5.07901 + 3.50579i 0.181278 + 0.125127i
\(786\) 18.3500 + 34.9631i 0.654524 + 1.24709i
\(787\) 5.10461 20.7102i 0.181960 0.738239i −0.807062 0.590467i \(-0.798944\pi\)
0.989021 0.147772i \(-0.0472103\pi\)
\(788\) −61.4088 69.3162i −2.18760 2.46929i
\(789\) −23.0830 20.4498i −0.821776 0.728030i
\(790\) −27.8375 40.3296i −0.990414 1.43486i
\(791\) 20.9480 + 39.9130i 0.744824 + 1.41914i
\(792\) 5.64523 14.8853i 0.200595 0.528924i
\(793\) −46.0418 5.02722i −1.63499 0.178522i
\(794\) −8.52483 22.4781i −0.302535 0.797719i
\(795\) 13.9828 15.7833i 0.495919 0.559777i
\(796\) −51.6730 45.7782i −1.83150 1.62257i
\(797\) −14.3837 + 3.54525i −0.509495 + 0.125579i −0.485679 0.874137i \(-0.661428\pi\)
−0.0238159 + 0.999716i \(0.507582\pi\)
\(798\) 7.08669 + 28.7518i 0.250866 + 1.01780i
\(799\) −20.9898 2.54863i −0.742567 0.0901640i
\(800\) −16.8616 + 6.39474i −0.596146 + 0.226088i
\(801\) 5.52836 + 0.671265i 0.195335 + 0.0237180i
\(802\) 31.1071 45.0664i 1.09843 1.59135i
\(803\) 13.9751 3.44454i 0.493169 0.121555i
\(804\) −26.4517 29.8578i −0.932879 1.05300i
\(805\) −1.04706 8.62332i −0.0369040 0.303932i
\(806\) −0.532091 44.0701i −0.0187421 1.55230i
\(807\) 0.836344 6.88791i 0.0294407 0.242466i
\(808\) 24.8845 17.1765i 0.875434 0.604268i
\(809\) −3.76815 + 9.93580i −0.132481 + 0.349324i −0.984798 0.173701i \(-0.944427\pi\)
0.852317 + 0.523025i \(0.175197\pi\)
\(810\) −0.602755 4.96413i −0.0211786 0.174422i
\(811\) −14.6093 + 27.8357i −0.513002 + 0.977443i 0.481865 + 0.876246i \(0.339960\pi\)
−0.994866 + 0.101197i \(0.967733\pi\)
\(812\) −14.1666 + 15.9908i −0.497150 + 0.561166i
\(813\) −20.3259 14.0300i −0.712862 0.492053i
\(814\) −33.5545 + 23.1610i −1.17608 + 0.811793i
\(815\) −6.54720 3.43623i −0.229338 0.120366i
\(816\) −4.93879 + 40.6746i −0.172892 + 1.42389i
\(817\) 11.0975 + 7.66008i 0.388254 + 0.267992i
\(818\) 5.96092 + 8.63588i 0.208419 + 0.301946i
\(819\) −4.51203 6.37089i −0.157663 0.222617i
\(820\) 28.9545 41.9479i 1.01114 1.46488i
\(821\) −18.8198 + 7.13742i −0.656816 + 0.249098i −0.660420 0.750896i \(-0.729622\pi\)
0.00360430 + 0.999994i \(0.498853\pi\)
\(822\) −29.9781 −1.04561
\(823\) 19.1014 0.665834 0.332917 0.942956i \(-0.391967\pi\)
0.332917 + 0.942956i \(0.391967\pi\)
\(824\) 105.961 40.1856i 3.69132 1.39993i
\(825\) 0.686185 + 2.78396i 0.0238899 + 0.0969250i
\(826\) 35.5897i 1.23832i
\(827\) 5.26719 21.3698i 0.183158 0.743102i −0.805459 0.592651i \(-0.798081\pi\)
0.988617 0.150451i \(-0.0480725\pi\)
\(828\) −3.73485 + 9.84799i −0.129795 + 0.342241i
\(829\) 20.8796 + 10.9585i 0.725180 + 0.380604i 0.786563 0.617510i \(-0.211859\pi\)
−0.0613826 + 0.998114i \(0.519551\pi\)
\(830\) 6.22934 + 2.36248i 0.216224 + 0.0820028i
\(831\) −22.7276 11.9284i −0.788411 0.413790i
\(832\) −40.7307 + 16.0122i −1.41208 + 0.555123i
\(833\) 7.78311 4.08489i 0.269669 0.141533i
\(834\) −21.9404 + 2.66405i −0.759735 + 0.0922485i
\(835\) 9.90621 + 26.1205i 0.342819 + 0.903938i
\(836\) 6.29738 51.8636i 0.217799 1.79374i
\(837\) −4.32860 1.64162i −0.149618 0.0567427i
\(838\) 9.10992 + 3.45494i 0.314697 + 0.119349i
\(839\) 47.2258 32.5976i 1.63041 1.12539i 0.737299 0.675567i \(-0.236101\pi\)
0.893116 0.449827i \(-0.148514\pi\)
\(840\) −14.9540 28.4924i −0.515961 0.983081i
\(841\) 24.3336 + 5.99770i 0.839091 + 0.206817i
\(842\) 70.3601 62.3336i 2.42477 2.14816i
\(843\) 5.95903 + 0.723557i 0.205240 + 0.0249206i
\(844\) 50.0311 1.72214
\(845\) −10.9118 + 22.0698i −0.375378 + 0.759225i
\(846\) −14.6834 −0.504826
\(847\) 14.7973 + 1.79672i 0.508442 + 0.0617360i
\(848\) −89.8085 + 79.5634i −3.08404 + 2.73222i
\(849\) 26.6757 + 6.57496i 0.915506 + 0.225652i
\(850\) −6.59407 12.5640i −0.226175 0.430940i
\(851\) 13.2695 9.15929i 0.454874 0.313977i
\(852\) 63.9443 + 24.2509i 2.19070 + 0.830821i
\(853\) −23.5932 8.94772i −0.807816 0.306364i −0.0840955 0.996458i \(-0.526800\pi\)
−0.723720 + 0.690094i \(0.757569\pi\)
\(854\) −8.85224 + 72.9048i −0.302917 + 2.49475i
\(855\) −3.47843 9.17185i −0.118960 0.313671i
\(856\) 132.061 16.0351i 4.51375 0.548068i
\(857\) 47.5673 24.9653i 1.62487 0.852797i 0.627632 0.778510i \(-0.284024\pi\)
0.997237 0.0742872i \(-0.0236682\pi\)
\(858\) 4.84819 + 18.6956i 0.165515 + 0.638256i
\(859\) −43.3810 22.7681i −1.48014 0.776838i −0.484927 0.874555i \(-0.661154\pi\)
−0.995214 + 0.0977164i \(0.968846\pi\)
\(860\) −22.9209 8.69274i −0.781595 0.296420i
\(861\) −10.3781 5.44687i −0.353686 0.185629i
\(862\) −8.07911 + 21.3029i −0.275176 + 0.725578i
\(863\) −11.0555 + 44.8538i −0.376332 + 1.52684i 0.411765 + 0.911290i \(0.364912\pi\)
−0.788098 + 0.615550i \(0.788934\pi\)
\(864\) 12.7595i 0.434085i
\(865\) −7.40025 30.0240i −0.251616 1.02085i
\(866\) −52.2783 + 19.8265i −1.77649 + 0.673733i
\(867\) 2.54316 0.0863703
\(868\) −49.8374 −1.69159
\(869\) 18.5889 7.04984i 0.630585 0.239149i
\(870\) 5.63720 8.16689i 0.191119 0.276883i
\(871\) 28.1682 + 6.58315i 0.954442 + 0.223061i
\(872\) 75.5340 + 109.430i 2.55790 + 3.70576i
\(873\) −11.5349 7.96200i −0.390399 0.269473i
\(874\) −3.49215 + 28.7604i −0.118124 + 0.972836i
\(875\) 23.2863 + 12.2216i 0.787219 + 0.413164i
\(876\) −29.0304 + 20.0382i −0.980846 + 0.677029i
\(877\) 29.4496 + 20.3276i 0.994443 + 0.686414i 0.949887 0.312593i \(-0.101197\pi\)
0.0445555 + 0.999007i \(0.485813\pi\)
\(878\) −17.2982 + 19.5257i −0.583787 + 0.658960i
\(879\) −11.1745 + 21.2912i −0.376906 + 0.718134i
\(880\) 4.99059 + 41.1012i 0.168233 + 1.38552i
\(881\) 2.00709 5.29225i 0.0676205 0.178301i −0.896946 0.442140i \(-0.854220\pi\)
0.964567 + 0.263839i \(0.0849888\pi\)
\(882\) 5.02362 3.46756i 0.169154 0.116759i
\(883\) −0.826139 + 6.80386i −0.0278018 + 0.228968i −0.999986 0.00524830i \(-0.998329\pi\)
0.972184 + 0.234217i \(0.0752525\pi\)
\(884\) −32.4021 59.9663i −1.08980 2.01688i
\(885\) 1.42105 + 11.7034i 0.0477680 + 0.393405i
\(886\) 21.5005 + 24.2690i 0.722323 + 0.815334i
\(887\) −12.1059 + 2.98384i −0.406477 + 0.100187i −0.437252 0.899339i \(-0.644048\pi\)
0.0307758 + 0.999526i \(0.490202\pi\)
\(888\) 33.9290 49.1547i 1.13858 1.64952i
\(889\) −24.4005 2.96275i −0.818365 0.0993675i
\(890\) −26.0385 + 9.87508i −0.872811 + 0.331014i
\(891\) 2.01393 + 0.244536i 0.0674693 + 0.00819226i
\(892\) 3.06345 + 12.4289i 0.102572 + 0.416150i
\(893\) −27.9664 + 6.89310i −0.935860 + 0.230669i
\(894\) −39.2860 34.8044i −1.31392 1.16403i
\(895\) −21.3705 + 24.1223i −0.714336 + 0.806318i
\(896\) 5.01479 + 13.2229i 0.167532 + 0.441746i
\(897\) −1.91728 7.39338i −0.0640160 0.246858i
\(898\) 28.7714 75.8639i 0.960114 2.53161i
\(899\) −4.26939 8.13465i −0.142392 0.271306i
\(900\) −3.99180 5.78312i −0.133060 0.192771i
\(901\) −31.6877 28.0728i −1.05567 0.935241i
\(902\) 19.2284 + 21.7044i 0.640235 + 0.722676i
\(903\) −1.34901 + 5.47317i −0.0448924 + 0.182136i
\(904\) 75.9193 + 144.652i 2.52504 + 4.81106i
\(905\) 22.6744 + 15.6510i 0.753722 + 0.520257i
\(906\) −1.51366 3.99119i −0.0502879 0.132598i
\(907\) −26.6702 + 13.9976i −0.885570 + 0.464783i −0.845230 0.534403i \(-0.820536\pi\)
−0.0403399 + 0.999186i \(0.512844\pi\)
\(908\) 16.5845 31.5991i 0.550376 1.04865i
\(909\) 2.88418 + 2.55516i 0.0956621 + 0.0847492i
\(910\) 34.7836 + 17.7236i 1.15307 + 0.587531i
\(911\) −3.48264 + 3.08535i −0.115385 + 0.102222i −0.718843 0.695173i \(-0.755328\pi\)
0.603457 + 0.797395i \(0.293789\pi\)
\(912\) 13.3576 + 54.1939i 0.442314 + 1.79454i
\(913\) −1.53540 + 2.22442i −0.0508145 + 0.0736175i
\(914\) 3.12091 2.76489i 0.103231 0.0914543i
\(915\) 24.3276i 0.804246i
\(916\) 45.6150 + 51.4886i 1.50716 + 1.70123i
\(917\) −15.0475 + 28.6706i −0.496912 + 0.946786i
\(918\) −9.96632 + 1.21013i −0.328938 + 0.0399403i
\(919\) −20.8748 + 10.9559i −0.688596 + 0.361403i −0.772450 0.635075i \(-0.780969\pi\)
0.0838547 + 0.996478i \(0.473277\pi\)
\(920\) −3.79474 31.2525i −0.125109 1.03036i
\(921\) −0.139137 + 0.564502i −0.00458473 + 0.0186010i
\(922\) 7.03197 + 1.73322i 0.231585 + 0.0570807i
\(923\) −48.0062 + 12.4491i −1.58014 + 0.409768i
\(924\) 21.2053 5.22663i 0.697603 0.171944i
\(925\) 10.7574i 0.353700i
\(926\) 24.4569 + 6.02808i 0.803703 + 0.198095i
\(927\) 8.20370 + 11.8851i 0.269445 + 0.390358i
\(928\) −16.7907 + 18.9528i −0.551183 + 0.622157i
\(929\) 3.85821 0.468472i 0.126584 0.0153701i −0.0569996 0.998374i \(-0.518153\pi\)
0.183583 + 0.983004i \(0.441230\pi\)
\(930\) 22.9811 2.79041i 0.753580 0.0915012i
\(931\) 7.94029 8.96273i 0.260232 0.293742i
\(932\) 6.93900 + 10.0529i 0.227294 + 0.329293i
\(933\) −19.0960 4.70674i −0.625175 0.154092i
\(934\) 33.4428i 1.09428i
\(935\) −14.1840 + 3.49604i −0.463866 + 0.114333i
\(936\) −16.3524 23.0893i −0.534496 0.754697i
\(937\) 16.2277 + 3.99977i 0.530135 + 0.130667i 0.495293 0.868726i \(-0.335061\pi\)
0.0348427 + 0.999393i \(0.488907\pi\)
\(938\) 10.9770 44.5356i 0.358413 1.45414i
\(939\) −1.02320 8.42683i −0.0333910 0.274999i
\(940\) 46.3646 24.3340i 1.51225 0.793689i
\(941\) 35.0672 4.25793i 1.14316 0.138804i 0.473027 0.881048i \(-0.343161\pi\)
0.670130 + 0.742244i \(0.266238\pi\)
\(942\) 3.99865 7.61879i 0.130283 0.248234i
\(943\) −7.60409 8.58324i −0.247623 0.279509i
\(944\) 67.0824i 2.18335i
\(945\) 3.06935 2.71921i 0.0998460 0.0884558i
\(946\) 7.92209 11.4771i 0.257569 0.373154i
\(947\) −5.34255 21.6756i −0.173609 0.704361i −0.991623 0.129163i \(-0.958771\pi\)
0.818014 0.575198i \(-0.195075\pi\)
\(948\) −36.4698 + 32.3094i −1.18448 + 1.04936i
\(949\) 8.78154 24.0259i 0.285061 0.779915i
\(950\) −14.4682 12.8177i −0.469409 0.415860i
\(951\) 3.00722 5.72978i 0.0975158 0.185801i
\(952\) −57.2032 + 30.0226i −1.85397 + 0.973037i
\(953\) 3.32975 + 8.77982i 0.107861 + 0.284406i 0.978070 0.208277i \(-0.0667855\pi\)
−0.870209 + 0.492683i \(0.836016\pi\)
\(954\) −24.1949 16.7005i −0.783337 0.540699i
\(955\) 1.47091 + 2.80258i 0.0475975 + 0.0906895i
\(956\) 14.3576 58.2510i 0.464357 1.88397i
\(957\) 2.66969 + 3.01346i 0.0862989 + 0.0974113i
\(958\) 80.8577 + 71.6337i 2.61239 + 2.31438i
\(959\) −13.9646 20.2312i −0.450941 0.653301i
\(960\) −10.6830 20.3548i −0.344794 0.656950i
\(961\) −3.39298 + 8.94656i −0.109451 + 0.288599i
\(962\) 0.874819 + 72.4563i 0.0282053 + 2.33609i
\(963\) 6.01151 + 15.8510i 0.193718 + 0.510793i
\(964\) −62.1322 + 70.1327i −2.00114 + 2.25882i
\(965\) −7.66012 6.78627i −0.246588 0.218458i
\(966\) −11.7592 + 2.89838i −0.378345 + 0.0932537i
\(967\) −12.9321 52.4676i −0.415868 1.68724i −0.688591 0.725150i \(-0.741770\pi\)
0.272722 0.962093i \(-0.412076\pi\)
\(968\) 53.6283 + 6.51165i 1.72368 + 0.209292i
\(969\) −18.4140 + 6.98352i −0.591544 + 0.224343i
\(970\) 69.5773 + 8.44822i 2.23399 + 0.271256i
\(971\) −17.6737 + 25.6048i −0.567177 + 0.821698i −0.996684 0.0813656i \(-0.974072\pi\)
0.429507 + 0.903063i \(0.358687\pi\)
\(972\) −4.82745 + 1.18986i −0.154840 + 0.0381647i
\(973\) −12.0183 13.5659i −0.385290 0.434902i
\(974\) −5.33331 43.9238i −0.170890 1.40741i
\(975\) 4.78619 + 1.74936i 0.153281 + 0.0560245i
\(976\) −16.6855 + 137.417i −0.534088 + 4.39861i
\(977\) 39.3541 27.1642i 1.25905 0.869059i 0.263626 0.964625i \(-0.415082\pi\)
0.995423 + 0.0955665i \(0.0304662\pi\)
\(978\) −3.65565 + 9.63915i −0.116895 + 0.308226i
\(979\) −1.36181 11.2155i −0.0435237 0.358450i
\(980\) −10.1161 + 19.2746i −0.323147 + 0.615705i
\(981\) −11.2363 + 12.6832i −0.358749 + 0.404944i
\(982\) −38.9665 26.8966i −1.24347 0.858306i
\(983\) −9.74396 + 6.72577i −0.310784 + 0.214519i −0.713239 0.700921i \(-0.752772\pi\)
0.402455 + 0.915440i \(0.368157\pi\)
\(984\) −37.6123 19.7405i −1.19904 0.629303i
\(985\) −4.25184 + 35.0171i −0.135475 + 1.11574i
\(986\) −16.3964 11.3176i −0.522167 0.360426i
\(987\) −6.83993 9.90935i −0.217717 0.315418i
\(988\) −70.2386 60.7284i −2.23459 1.93203i
\(989\) −3.13289 + 4.53877i −0.0996200 + 0.144324i
\(990\) −9.48558 + 3.59741i −0.301471 + 0.114333i
\(991\) 32.2517 1.02451 0.512254 0.858834i \(-0.328811\pi\)
0.512254 + 0.858834i \(0.328811\pi\)
\(992\) −59.0690 −1.87544
\(993\) 9.35119 3.54644i 0.296751 0.112543i
\(994\) 18.8195 + 76.3539i 0.596919 + 2.42180i
\(995\) 26.2958i 0.833632i
\(996\) 1.58525 6.43160i 0.0502305 0.203793i
\(997\) −16.4742 + 43.4388i −0.521742 + 1.37572i 0.372456 + 0.928050i \(0.378516\pi\)
−0.894198 + 0.447671i \(0.852253\pi\)
\(998\) −19.2970 10.1278i −0.610835 0.320591i
\(999\) 7.11671 + 2.69901i 0.225163 + 0.0853929i
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 507.2.p.b.64.1 192
169.103 even 26 inner 507.2.p.b.103.1 yes 192
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
507.2.p.b.64.1 192 1.1 even 1 trivial
507.2.p.b.103.1 yes 192 169.103 even 26 inner