Properties

Label 605.2.k.a.56.20
Level $605$
Weight $2$
Character 605.56
Analytic conductor $4.831$
Analytic rank $0$
Dimension $220$
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] = [605,2,Mod(56,605)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(605, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([0, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("605.56");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 605 = 5 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 605.k (of order \(11\), degree \(10\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(4.83094932229\)
Analytic rank: \(0\)
Dimension: \(220\)
Relative dimension: \(22\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 56.20
Character \(\chi\) \(=\) 605.56
Dual form 605.2.k.a.551.20

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(2.05201 + 0.602524i) q^{2} +2.34072 q^{3} +(2.16519 + 1.39148i) q^{4} +(-0.654861 + 0.755750i) q^{5} +(4.80316 + 1.41034i) q^{6} +(-1.19051 + 2.60686i) q^{7} +(0.803566 + 0.927365i) q^{8} +2.47895 q^{9} +O(q^{10})\) \(q+(2.05201 + 0.602524i) q^{2} +2.34072 q^{3} +(2.16519 + 1.39148i) q^{4} +(-0.654861 + 0.755750i) q^{5} +(4.80316 + 1.41034i) q^{6} +(-1.19051 + 2.60686i) q^{7} +(0.803566 + 0.927365i) q^{8} +2.47895 q^{9} +(-1.79914 + 1.15623i) q^{10} +(-1.92833 - 2.69843i) q^{11} +(5.06810 + 3.25707i) q^{12} +(5.36710 + 3.44923i) q^{13} +(-4.01364 + 4.63199i) q^{14} +(-1.53284 + 1.76899i) q^{15} +(-1.04820 - 2.29523i) q^{16} +(-0.918545 - 6.38862i) q^{17} +(5.08682 + 1.49363i) q^{18} +(0.0563882 - 0.392189i) q^{19} +(-2.46951 + 0.725114i) q^{20} +(-2.78666 + 6.10192i) q^{21} +(-2.33109 - 6.69907i) q^{22} +(0.657461 + 1.43964i) q^{23} +(1.88092 + 2.17070i) q^{24} +(-0.142315 - 0.989821i) q^{25} +(8.93509 + 10.3116i) q^{26} -1.21963 q^{27} +(-6.20510 + 3.98777i) q^{28} +(0.132111 - 0.918854i) q^{29} +(-4.21127 + 2.70642i) q^{30} +(-2.85497 + 1.83478i) q^{31} +(-1.11724 - 7.77058i) q^{32} +(-4.51368 - 6.31626i) q^{33} +(1.96444 - 13.6629i) q^{34} +(-1.19051 - 2.60686i) q^{35} +(5.36740 + 3.44942i) q^{36} +(8.46108 - 5.43760i) q^{37} +(0.352012 - 0.770798i) q^{38} +(12.5629 + 8.07366i) q^{39} -1.22708 q^{40} +(-8.73353 - 2.56439i) q^{41} +(-9.39479 + 10.8422i) q^{42} +(1.06677 + 1.23112i) q^{43} +(-0.420389 - 8.52586i) q^{44} +(-1.62337 + 1.87347i) q^{45} +(0.481698 + 3.35029i) q^{46} +(-11.9900 + 3.52059i) q^{47} +(-2.45353 - 5.37249i) q^{48} +(-0.794382 - 0.916766i) q^{49} +(0.304360 - 2.11687i) q^{50} +(-2.15005 - 14.9540i) q^{51} +(6.82126 + 14.9365i) q^{52} +(-1.17453 + 2.57187i) q^{53} +(-2.50269 - 0.734856i) q^{54} +(3.30213 + 0.309759i) q^{55} +(-3.37417 + 0.990746i) q^{56} +(0.131989 - 0.918002i) q^{57} +(0.824725 - 1.80589i) q^{58} +(1.87077 - 0.549307i) q^{59} +(-5.78042 + 1.69729i) q^{60} +(9.29456 - 2.72913i) q^{61} +(-6.96392 + 2.04479i) q^{62} +(-2.95122 + 6.46228i) q^{63} +(1.67118 - 11.6233i) q^{64} +(-6.12146 + 1.79742i) q^{65} +(-5.45641 - 15.6806i) q^{66} +(8.46793 + 2.48641i) q^{67} +(6.90084 - 15.1107i) q^{68} +(1.53893 + 3.36979i) q^{69} +(-0.872247 - 6.06661i) q^{70} +(-0.916179 + 6.37216i) q^{71} +(1.99200 + 2.29889i) q^{72} +(-3.66990 - 8.03595i) q^{73} +(20.6385 - 6.06000i) q^{74} +(-0.333119 - 2.31689i) q^{75} +(0.667815 - 0.770700i) q^{76} +(9.33015 - 1.81438i) q^{77} +(20.9145 + 24.1366i) q^{78} +(-9.10009 + 10.5021i) q^{79} +(2.42105 + 0.710884i) q^{80} -10.2917 q^{81} +(-16.3761 - 10.5243i) q^{82} +(1.15334 - 2.52547i) q^{83} +(-14.5244 + 9.33424i) q^{84} +(5.42972 + 3.48947i) q^{85} +(1.44724 + 3.16902i) q^{86} +(0.309235 - 2.15078i) q^{87} +(0.952886 - 3.95664i) q^{88} +(1.07140 + 7.45176i) q^{89} +(-4.45997 + 2.86625i) q^{90} +(-15.3813 + 9.88494i) q^{91} +(-0.579706 + 4.03194i) q^{92} +(-6.68267 + 4.29469i) q^{93} -26.7249 q^{94} +(0.259470 + 0.299444i) q^{95} +(-2.61514 - 18.1887i) q^{96} +(4.68134 + 5.40255i) q^{97} +(-1.07770 - 2.35984i) q^{98} +(-4.78024 - 6.68927i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 220 q - 4 q^{2} - 4 q^{3} - 24 q^{4} - 22 q^{5} - 12 q^{6} - 8 q^{7} - 12 q^{8} + 212 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 220 q - 4 q^{2} - 4 q^{3} - 24 q^{4} - 22 q^{5} - 12 q^{6} - 8 q^{7} - 12 q^{8} + 212 q^{9} - 4 q^{10} - 10 q^{11} + 5 q^{12} + 6 q^{13} + 68 q^{14} + 7 q^{15} - 44 q^{16} - 24 q^{17} - 36 q^{18} - 16 q^{19} - 24 q^{20} - 10 q^{21} + 45 q^{22} + 51 q^{23} + 72 q^{24} - 22 q^{25} - 30 q^{26} - 34 q^{27} - 56 q^{28} - 36 q^{29} - q^{30} + 4 q^{31} + 42 q^{32} - 44 q^{33} - 52 q^{34} - 8 q^{35} - 94 q^{36} + 69 q^{37} - 40 q^{38} - 56 q^{39} + 54 q^{40} - 44 q^{41} - 76 q^{42} + 7 q^{43} - 67 q^{44} - 30 q^{45} + 56 q^{46} + 14 q^{47} + 54 q^{48} + 10 q^{49} - 4 q^{50} + 27 q^{51} + 58 q^{52} + 86 q^{53} - 43 q^{54} - 10 q^{55} - 79 q^{56} + 129 q^{57} + 100 q^{58} - 54 q^{59} - 28 q^{60} - 52 q^{61} + 55 q^{62} - 104 q^{63} + 36 q^{64} - 16 q^{65} - 33 q^{66} + 13 q^{67} - 120 q^{68} - 22 q^{69} - 9 q^{70} - 70 q^{71} + 60 q^{72} - 66 q^{73} + 20 q^{74} - 4 q^{75} - 12 q^{76} + 44 q^{77} + 187 q^{78} - 22 q^{79} - 44 q^{80} + 108 q^{81} - 76 q^{82} + 96 q^{83} - 224 q^{84} + 9 q^{85} - 66 q^{86} - 76 q^{87} - 47 q^{88} + 52 q^{89} + 8 q^{90} + 88 q^{91} + 8 q^{92} + 38 q^{93} + 22 q^{94} + 28 q^{95} - 120 q^{96} + 37 q^{97} + 12 q^{98} + 118 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).

\(n\) \(122\) \(486\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.05201 + 0.602524i 1.45099 + 0.426049i 0.909868 0.414897i \(-0.136182\pi\)
0.541120 + 0.840946i \(0.318001\pi\)
\(3\) 2.34072 1.35141 0.675706 0.737171i \(-0.263839\pi\)
0.675706 + 0.737171i \(0.263839\pi\)
\(4\) 2.16519 + 1.39148i 1.08260 + 0.695742i
\(5\) −0.654861 + 0.755750i −0.292863 + 0.337981i
\(6\) 4.80316 + 1.41034i 1.96088 + 0.575767i
\(7\) −1.19051 + 2.60686i −0.449972 + 0.985301i 0.539688 + 0.841865i \(0.318542\pi\)
−0.989660 + 0.143436i \(0.954185\pi\)
\(8\) 0.803566 + 0.927365i 0.284104 + 0.327873i
\(9\) 2.47895 0.826317
\(10\) −1.79914 + 1.15623i −0.568937 + 0.365633i
\(11\) −1.92833 2.69843i −0.581415 0.813607i
\(12\) 5.06810 + 3.25707i 1.46303 + 0.940234i
\(13\) 5.36710 + 3.44923i 1.48857 + 0.956643i 0.996277 + 0.0862119i \(0.0274762\pi\)
0.492289 + 0.870432i \(0.336160\pi\)
\(14\) −4.01364 + 4.63199i −1.07269 + 1.23795i
\(15\) −1.53284 + 1.76899i −0.395778 + 0.456753i
\(16\) −1.04820 2.29523i −0.262050 0.573809i
\(17\) −0.918545 6.38862i −0.222780 1.54947i −0.727453 0.686158i \(-0.759296\pi\)
0.504673 0.863311i \(-0.331613\pi\)
\(18\) 5.08682 + 1.49363i 1.19898 + 0.352051i
\(19\) 0.0563882 0.392189i 0.0129363 0.0899742i −0.982330 0.187155i \(-0.940073\pi\)
0.995267 + 0.0971807i \(0.0309825\pi\)
\(20\) −2.46951 + 0.725114i −0.552200 + 0.162140i
\(21\) −2.78666 + 6.10192i −0.608098 + 1.33155i
\(22\) −2.33109 6.69907i −0.496989 1.42825i
\(23\) 0.657461 + 1.43964i 0.137090 + 0.300186i 0.965709 0.259628i \(-0.0836000\pi\)
−0.828619 + 0.559814i \(0.810873\pi\)
\(24\) 1.88092 + 2.17070i 0.383941 + 0.443092i
\(25\) −0.142315 0.989821i −0.0284630 0.197964i
\(26\) 8.93509 + 10.3116i 1.75232 + 2.02228i
\(27\) −1.21963 −0.234718
\(28\) −6.20510 + 3.98777i −1.17265 + 0.753618i
\(29\) 0.132111 0.918854i 0.0245324 0.170627i −0.973872 0.227099i \(-0.927076\pi\)
0.998404 + 0.0564718i \(0.0179851\pi\)
\(30\) −4.21127 + 2.70642i −0.768868 + 0.494122i
\(31\) −2.85497 + 1.83478i −0.512768 + 0.329536i −0.771305 0.636465i \(-0.780396\pi\)
0.258537 + 0.966001i \(0.416759\pi\)
\(32\) −1.11724 7.77058i −0.197502 1.37366i
\(33\) −4.51368 6.31626i −0.785731 1.09952i
\(34\) 1.96444 13.6629i 0.336898 2.34318i
\(35\) −1.19051 2.60686i −0.201234 0.440640i
\(36\) 5.36740 + 3.44942i 0.894566 + 0.574903i
\(37\) 8.46108 5.43760i 1.39099 0.893937i 0.391339 0.920247i \(-0.372012\pi\)
0.999654 + 0.0263102i \(0.00837576\pi\)
\(38\) 0.352012 0.770798i 0.0571039 0.125040i
\(39\) 12.5629 + 8.07366i 2.01167 + 1.29282i
\(40\) −1.22708 −0.194018
\(41\) −8.73353 2.56439i −1.36395 0.400491i −0.483795 0.875181i \(-0.660742\pi\)
−0.880153 + 0.474690i \(0.842560\pi\)
\(42\) −9.39479 + 10.8422i −1.44965 + 1.67298i
\(43\) 1.06677 + 1.23112i 0.162681 + 0.187744i 0.831237 0.555918i \(-0.187633\pi\)
−0.668557 + 0.743661i \(0.733088\pi\)
\(44\) −0.420389 8.52586i −0.0633761 1.28532i
\(45\) −1.62337 + 1.87347i −0.241997 + 0.279280i
\(46\) 0.481698 + 3.35029i 0.0710226 + 0.493973i
\(47\) −11.9900 + 3.52059i −1.74893 + 0.513531i −0.990414 0.138128i \(-0.955892\pi\)
−0.758512 + 0.651659i \(0.774073\pi\)
\(48\) −2.45353 5.37249i −0.354137 0.775452i
\(49\) −0.794382 0.916766i −0.113483 0.130967i
\(50\) 0.304360 2.11687i 0.0430430 0.299370i
\(51\) −2.15005 14.9540i −0.301068 2.09397i
\(52\) 6.82126 + 14.9365i 0.945938 + 2.07132i
\(53\) −1.17453 + 2.57187i −0.161334 + 0.353273i −0.972984 0.230871i \(-0.925842\pi\)
0.811650 + 0.584144i \(0.198570\pi\)
\(54\) −2.50269 0.734856i −0.340573 0.100001i
\(55\) 3.30213 + 0.309759i 0.445259 + 0.0417678i
\(56\) −3.37417 + 0.990746i −0.450892 + 0.132394i
\(57\) 0.131989 0.918002i 0.0174823 0.121592i
\(58\) 0.824725 1.80589i 0.108292 0.237126i
\(59\) 1.87077 0.549307i 0.243553 0.0715137i −0.157678 0.987491i \(-0.550401\pi\)
0.401231 + 0.915977i \(0.368583\pi\)
\(60\) −5.78042 + 1.69729i −0.746250 + 0.219119i
\(61\) 9.29456 2.72913i 1.19005 0.349429i 0.374007 0.927426i \(-0.377983\pi\)
0.816039 + 0.577997i \(0.196165\pi\)
\(62\) −6.96392 + 2.04479i −0.884418 + 0.259689i
\(63\) −2.95122 + 6.46228i −0.371819 + 0.814171i
\(64\) 1.67118 11.6233i 0.208897 1.45291i
\(65\) −6.12146 + 1.79742i −0.759273 + 0.222943i
\(66\) −5.45641 15.6806i −0.671638 1.93015i
\(67\) 8.46793 + 2.48641i 1.03452 + 0.303763i 0.754548 0.656244i \(-0.227856\pi\)
0.279974 + 0.960008i \(0.409674\pi\)
\(68\) 6.90084 15.1107i 0.836850 1.83245i
\(69\) 1.53893 + 3.36979i 0.185265 + 0.405675i
\(70\) −0.872247 6.06661i −0.104253 0.725099i
\(71\) −0.916179 + 6.37216i −0.108730 + 0.756237i 0.860388 + 0.509640i \(0.170221\pi\)
−0.969118 + 0.246597i \(0.920688\pi\)
\(72\) 1.99200 + 2.29889i 0.234760 + 0.270927i
\(73\) −3.66990 8.03595i −0.429529 0.940537i −0.993403 0.114676i \(-0.963417\pi\)
0.563874 0.825861i \(-0.309310\pi\)
\(74\) 20.6385 6.06000i 2.39917 0.704461i
\(75\) −0.333119 2.31689i −0.0384652 0.267531i
\(76\) 0.667815 0.770700i 0.0766036 0.0884053i
\(77\) 9.33015 1.81438i 1.06327 0.206768i
\(78\) 20.9145 + 24.1366i 2.36810 + 2.73293i
\(79\) −9.10009 + 10.5021i −1.02384 + 1.18157i −0.0406152 + 0.999175i \(0.512932\pi\)
−0.983225 + 0.182399i \(0.941614\pi\)
\(80\) 2.42105 + 0.710884i 0.270681 + 0.0794792i
\(81\) −10.2917 −1.14352
\(82\) −16.3761 10.5243i −1.80844 1.16222i
\(83\) 1.15334 2.52547i 0.126596 0.277206i −0.835713 0.549167i \(-0.814945\pi\)
0.962308 + 0.271961i \(0.0876723\pi\)
\(84\) −14.5244 + 9.33424i −1.58474 + 1.01845i
\(85\) 5.42972 + 3.48947i 0.588936 + 0.378486i
\(86\) 1.44724 + 3.16902i 0.156060 + 0.341724i
\(87\) 0.309235 2.15078i 0.0331535 0.230587i
\(88\) 0.952886 3.95664i 0.101578 0.421779i
\(89\) 1.07140 + 7.45176i 0.113568 + 0.789885i 0.964400 + 0.264447i \(0.0851894\pi\)
−0.850832 + 0.525438i \(0.823902\pi\)
\(90\) −4.45997 + 2.86625i −0.470122 + 0.302129i
\(91\) −15.3813 + 9.88494i −1.61240 + 1.03622i
\(92\) −0.579706 + 4.03194i −0.0604385 + 0.420359i
\(93\) −6.68267 + 4.29469i −0.692961 + 0.445339i
\(94\) −26.7249 −2.75646
\(95\) 0.259470 + 0.299444i 0.0266210 + 0.0307223i
\(96\) −2.61514 18.1887i −0.266907 1.85638i
\(97\) 4.68134 + 5.40255i 0.475318 + 0.548546i 0.941883 0.335941i \(-0.109054\pi\)
−0.466565 + 0.884487i \(0.654509\pi\)
\(98\) −1.07770 2.35984i −0.108865 0.238380i
\(99\) −4.78024 6.68927i −0.480433 0.672297i
\(100\) 1.06918 2.34118i 0.106918 0.234118i
\(101\) −16.4425 + 4.82795i −1.63609 + 0.480399i −0.965277 0.261230i \(-0.915872\pi\)
−0.670811 + 0.741629i \(0.734054\pi\)
\(102\) 4.59818 31.9811i 0.455288 3.16660i
\(103\) 12.6168 + 3.70462i 1.24317 + 0.365027i 0.836205 0.548417i \(-0.184769\pi\)
0.406964 + 0.913444i \(0.366588\pi\)
\(104\) 1.11413 + 7.74895i 0.109249 + 0.759847i
\(105\) −2.78666 6.10192i −0.271950 0.595487i
\(106\) −3.95976 + 4.56981i −0.384606 + 0.443859i
\(107\) −2.83416 + 3.27079i −0.273988 + 0.316199i −0.876022 0.482271i \(-0.839812\pi\)
0.602034 + 0.798471i \(0.294357\pi\)
\(108\) −2.64073 1.69710i −0.254105 0.163303i
\(109\) −6.37275 4.09552i −0.610399 0.392280i 0.198608 0.980079i \(-0.436358\pi\)
−0.809007 + 0.587799i \(0.799994\pi\)
\(110\) 6.58935 + 2.62524i 0.628270 + 0.250307i
\(111\) 19.8050 12.7279i 1.87980 1.20808i
\(112\) 7.23126 0.683290
\(113\) 11.9906 + 13.8379i 1.12798 + 1.30176i 0.948065 + 0.318075i \(0.103036\pi\)
0.179914 + 0.983682i \(0.442418\pi\)
\(114\) 0.823960 1.80422i 0.0771709 0.168981i
\(115\) −1.51855 0.445887i −0.141606 0.0415792i
\(116\) 1.56462 1.80566i 0.145271 0.167652i
\(117\) 13.3048 + 8.55046i 1.23003 + 0.790490i
\(118\) 4.16980 0.383861
\(119\) 17.7478 + 5.21123i 1.62694 + 0.477712i
\(120\) −2.87224 −0.262199
\(121\) −3.56306 + 10.4070i −0.323914 + 0.946086i
\(122\) 20.7169 1.87562
\(123\) −20.4427 6.00252i −1.84326 0.541229i
\(124\) −8.73462 −0.784392
\(125\) 0.841254 + 0.540641i 0.0752440 + 0.0483564i
\(126\) −9.94961 + 11.4825i −0.886382 + 1.02294i
\(127\) −4.50821 1.32373i −0.400039 0.117462i 0.0755233 0.997144i \(-0.475937\pi\)
−0.475563 + 0.879682i \(0.657755\pi\)
\(128\) 3.91017 8.56207i 0.345613 0.756787i
\(129\) 2.49701 + 2.88170i 0.219849 + 0.253719i
\(130\) −13.6443 −1.19668
\(131\) −5.37265 + 3.45279i −0.469411 + 0.301672i −0.753879 0.657014i \(-0.771819\pi\)
0.284468 + 0.958686i \(0.408183\pi\)
\(132\) −0.984012 19.9566i −0.0856472 1.73700i
\(133\) 0.955251 + 0.613902i 0.0828307 + 0.0532321i
\(134\) 15.8781 + 10.2043i 1.37166 + 0.881513i
\(135\) 0.798688 0.921735i 0.0687401 0.0793304i
\(136\) 5.18647 5.98551i 0.444736 0.513253i
\(137\) −1.91857 4.20109i −0.163915 0.358924i 0.809796 0.586712i \(-0.199578\pi\)
−0.973711 + 0.227788i \(0.926851\pi\)
\(138\) 1.12752 + 7.84207i 0.0959808 + 0.667561i
\(139\) 11.6361 + 3.41666i 0.986960 + 0.289798i 0.735095 0.677965i \(-0.237138\pi\)
0.251866 + 0.967762i \(0.418956\pi\)
\(140\) 1.04972 7.30094i 0.0887172 0.617042i
\(141\) −28.0653 + 8.24070i −2.36352 + 0.693993i
\(142\) −5.71938 + 12.5237i −0.479960 + 1.05097i
\(143\) −1.04207 21.1340i −0.0871420 1.76732i
\(144\) −2.59843 5.68977i −0.216536 0.474148i
\(145\) 0.607909 + 0.701565i 0.0504841 + 0.0582618i
\(146\) −2.68880 18.7010i −0.222527 1.54771i
\(147\) −1.85942 2.14589i −0.153363 0.176990i
\(148\) 25.8862 2.12783
\(149\) 19.3227 12.4179i 1.58298 1.01732i 0.608295 0.793711i \(-0.291854\pi\)
0.974680 0.223606i \(-0.0717827\pi\)
\(150\) 0.712420 4.95499i 0.0581688 0.404573i
\(151\) −3.80626 + 2.44614i −0.309749 + 0.199064i −0.686275 0.727342i \(-0.740755\pi\)
0.376525 + 0.926406i \(0.377119\pi\)
\(152\) 0.409014 0.262857i 0.0331754 0.0213205i
\(153\) −2.27703 15.8371i −0.184087 1.28035i
\(154\) 20.2387 + 1.89851i 1.63088 + 0.152986i
\(155\) 0.482975 3.35917i 0.0387935 0.269815i
\(156\) 15.9666 + 34.9620i 1.27835 + 2.79920i
\(157\) 3.20733 + 2.06123i 0.255973 + 0.164504i 0.662334 0.749209i \(-0.269566\pi\)
−0.406361 + 0.913713i \(0.633202\pi\)
\(158\) −25.0012 + 16.0673i −1.98899 + 1.27824i
\(159\) −2.74925 + 6.02001i −0.218029 + 0.477418i
\(160\) 6.60425 + 4.24429i 0.522112 + 0.335541i
\(161\) −4.53566 −0.357460
\(162\) −21.1186 6.20097i −1.65923 0.487194i
\(163\) 7.94473 9.16871i 0.622279 0.718149i −0.353859 0.935299i \(-0.615131\pi\)
0.976138 + 0.217150i \(0.0696761\pi\)
\(164\) −15.3414 17.7050i −1.19797 1.38253i
\(165\) 7.72934 + 0.725057i 0.601729 + 0.0564456i
\(166\) 3.88832 4.48736i 0.301792 0.348286i
\(167\) −0.571098 3.97207i −0.0441929 0.307368i −0.999914 0.0130952i \(-0.995832\pi\)
0.955721 0.294273i \(-0.0950775\pi\)
\(168\) −7.89797 + 2.31905i −0.609342 + 0.178919i
\(169\) 11.5082 + 25.1995i 0.885248 + 1.93842i
\(170\) 9.03933 + 10.4319i 0.693285 + 0.800094i
\(171\) 0.139784 0.972216i 0.0106895 0.0743472i
\(172\) 0.596680 + 4.15000i 0.0454964 + 0.316434i
\(173\) 2.61677 + 5.72992i 0.198949 + 0.435638i 0.982642 0.185510i \(-0.0593938\pi\)
−0.783693 + 0.621148i \(0.786667\pi\)
\(174\) 1.93045 4.22709i 0.146347 0.320455i
\(175\) 2.74976 + 0.807401i 0.207862 + 0.0610338i
\(176\) −4.17225 + 7.25447i −0.314496 + 0.546826i
\(177\) 4.37894 1.28577i 0.329141 0.0966445i
\(178\) −2.29134 + 15.9366i −0.171743 + 1.19450i
\(179\) 5.22355 11.4380i 0.390426 0.854915i −0.607726 0.794147i \(-0.707918\pi\)
0.998152 0.0607675i \(-0.0193548\pi\)
\(180\) −6.12179 + 1.79752i −0.456292 + 0.133979i
\(181\) 5.33287 1.56587i 0.396389 0.116390i −0.0774622 0.996995i \(-0.524682\pi\)
0.473851 + 0.880605i \(0.342864\pi\)
\(182\) −37.5184 + 11.0164i −2.78105 + 0.816589i
\(183\) 21.7559 6.38812i 1.60824 0.472223i
\(184\) −0.806758 + 1.76655i −0.0594750 + 0.130232i
\(185\) −1.43136 + 9.95533i −0.105236 + 0.731930i
\(186\) −16.3005 + 4.78627i −1.19521 + 0.350947i
\(187\) −15.4680 + 14.7980i −1.13113 + 1.08214i
\(188\) −30.8596 9.06118i −2.25066 0.660855i
\(189\) 1.45199 3.17941i 0.105617 0.231268i
\(190\) 0.352012 + 0.770798i 0.0255376 + 0.0559196i
\(191\) −1.96713 13.6817i −0.142336 0.989971i −0.928335 0.371744i \(-0.878760\pi\)
0.785999 0.618228i \(-0.212149\pi\)
\(192\) 3.91176 27.2069i 0.282307 1.96349i
\(193\) −12.9381 14.9314i −0.931305 1.07478i −0.997035 0.0769463i \(-0.975483\pi\)
0.0657298 0.997837i \(-0.479062\pi\)
\(194\) 6.35098 + 13.9067i 0.455974 + 0.998443i
\(195\) −14.3286 + 4.20725i −1.02609 + 0.301288i
\(196\) −0.444324 3.09034i −0.0317375 0.220739i
\(197\) −10.2386 + 11.8159i −0.729467 + 0.841850i −0.992412 0.122961i \(-0.960761\pi\)
0.262944 + 0.964811i \(0.415306\pi\)
\(198\) −5.77865 16.6066i −0.410671 1.18018i
\(199\) −8.46984 9.77471i −0.600411 0.692911i 0.371454 0.928451i \(-0.378859\pi\)
−0.971865 + 0.235540i \(0.924314\pi\)
\(200\) 0.803566 0.927365i 0.0568207 0.0655746i
\(201\) 19.8210 + 5.81998i 1.39807 + 0.410509i
\(202\) −36.6490 −2.57862
\(203\) 2.23805 + 1.43830i 0.157080 + 0.100949i
\(204\) 16.1529 35.3699i 1.13093 2.47639i
\(205\) 7.65728 4.92104i 0.534808 0.343700i
\(206\) 23.6576 + 15.2038i 1.64830 + 1.05930i
\(207\) 1.62981 + 3.56879i 0.113280 + 0.248048i
\(208\) 2.29100 15.9342i 0.158852 1.10484i
\(209\) −1.16703 + 0.604111i −0.0807251 + 0.0417872i
\(210\) −2.04168 14.2002i −0.140889 0.979908i
\(211\) 13.0640 8.39573i 0.899364 0.577986i −0.00723781 0.999974i \(-0.502304\pi\)
0.906601 + 0.421988i \(0.138668\pi\)
\(212\) −6.12180 + 3.93424i −0.420447 + 0.270205i
\(213\) −2.14451 + 14.9154i −0.146940 + 1.02199i
\(214\) −7.78644 + 5.00404i −0.532270 + 0.342069i
\(215\) −1.62900 −0.111097
\(216\) −0.980054 1.13104i −0.0666842 0.0769577i
\(217\) −1.38413 9.62684i −0.0939609 0.653513i
\(218\) −10.6093 12.2438i −0.718552 0.829253i
\(219\) −8.59018 18.8099i −0.580471 1.27105i
\(220\) 6.71871 + 5.26554i 0.452976 + 0.355003i
\(221\) 17.1059 37.4567i 1.15067 2.51961i
\(222\) 48.3088 14.1847i 3.24227 0.952018i
\(223\) −1.22591 + 8.52638i −0.0820929 + 0.570969i 0.906712 + 0.421751i \(0.138584\pi\)
−0.988804 + 0.149217i \(0.952325\pi\)
\(224\) 21.5869 + 6.33849i 1.44234 + 0.423508i
\(225\) −0.352791 2.45372i −0.0235194 0.163581i
\(226\) 16.2671 + 35.6200i 1.08207 + 2.36941i
\(227\) −11.3799 + 13.1331i −0.755308 + 0.871672i −0.995072 0.0991590i \(-0.968385\pi\)
0.239763 + 0.970831i \(0.422930\pi\)
\(228\) 1.56317 1.80399i 0.103523 0.119472i
\(229\) −15.9374 10.2423i −1.05317 0.676832i −0.104961 0.994476i \(-0.533472\pi\)
−0.948210 + 0.317645i \(0.897108\pi\)
\(230\) −2.84742 1.82993i −0.187754 0.120662i
\(231\) 21.8392 4.24695i 1.43692 0.279429i
\(232\) 0.958273 0.615845i 0.0629137 0.0404322i
\(233\) −0.850321 −0.0557064 −0.0278532 0.999612i \(-0.508867\pi\)
−0.0278532 + 0.999612i \(0.508867\pi\)
\(234\) 22.1496 + 25.5620i 1.44797 + 1.67104i
\(235\) 5.19112 11.3670i 0.338631 0.741499i
\(236\) 4.81492 + 1.41379i 0.313425 + 0.0920298i
\(237\) −21.3007 + 24.5823i −1.38363 + 1.59679i
\(238\) 33.2787 + 21.3869i 2.15714 + 1.38631i
\(239\) 3.36955 0.217958 0.108979 0.994044i \(-0.465242\pi\)
0.108979 + 0.994044i \(0.465242\pi\)
\(240\) 5.66698 + 1.66398i 0.365802 + 0.107409i
\(241\) −10.8131 −0.696533 −0.348266 0.937396i \(-0.613230\pi\)
−0.348266 + 0.937396i \(0.613230\pi\)
\(242\) −13.5818 + 19.2083i −0.873074 + 1.23476i
\(243\) −20.4310 −1.31065
\(244\) 23.9220 + 7.02414i 1.53145 + 0.449675i
\(245\) 1.21306 0.0774993
\(246\) −38.3319 24.6344i −2.44395 1.57063i
\(247\) 1.65539 1.91042i 0.105330 0.121557i
\(248\) −3.99567 1.17323i −0.253725 0.0745004i
\(249\) 2.69964 5.91140i 0.171083 0.374620i
\(250\) 1.40051 + 1.61627i 0.0885760 + 0.102222i
\(251\) 22.4653 1.41800 0.708998 0.705210i \(-0.249147\pi\)
0.708998 + 0.705210i \(0.249147\pi\)
\(252\) −15.3821 + 9.88549i −0.968983 + 0.622727i
\(253\) 2.61696 4.55022i 0.164527 0.286070i
\(254\) −8.45330 5.43261i −0.530408 0.340872i
\(255\) 12.7094 + 8.16785i 0.795895 + 0.511491i
\(256\) −2.19730 + 2.53582i −0.137331 + 0.158489i
\(257\) −0.855735 + 0.987571i −0.0533793 + 0.0616030i −0.781811 0.623515i \(-0.785704\pi\)
0.728432 + 0.685118i \(0.240249\pi\)
\(258\) 3.38758 + 7.41777i 0.210902 + 0.461810i
\(259\) 4.10205 + 28.5304i 0.254889 + 1.77279i
\(260\) −15.7552 4.62615i −0.977096 0.286901i
\(261\) 0.327497 2.27779i 0.0202716 0.140992i
\(262\) −13.1051 + 3.84801i −0.809636 + 0.237731i
\(263\) 11.7448 25.7175i 0.724214 1.58581i −0.0836883 0.996492i \(-0.526670\pi\)
0.807903 0.589316i \(-0.200603\pi\)
\(264\) 2.23043 9.26136i 0.137274 0.569998i
\(265\) −1.17453 2.57187i −0.0721509 0.157989i
\(266\) 1.59029 + 1.83529i 0.0975069 + 0.112529i
\(267\) 2.50785 + 17.4424i 0.153478 + 1.06746i
\(268\) 14.8749 + 17.1665i 0.908628 + 1.04861i
\(269\) 24.3568 1.48506 0.742530 0.669813i \(-0.233626\pi\)
0.742530 + 0.669813i \(0.233626\pi\)
\(270\) 2.19428 1.41018i 0.133540 0.0858208i
\(271\) −2.95342 + 20.5415i −0.179407 + 1.24781i 0.678731 + 0.734387i \(0.262530\pi\)
−0.858138 + 0.513419i \(0.828379\pi\)
\(272\) −13.7006 + 8.80482i −0.830719 + 0.533871i
\(273\) −36.0032 + 23.1378i −2.17901 + 1.40037i
\(274\) −1.40567 9.77666i −0.0849197 0.590630i
\(275\) −2.39653 + 2.29273i −0.144516 + 0.138257i
\(276\) −1.35693 + 9.43763i −0.0816773 + 0.568078i
\(277\) −1.28983 2.82434i −0.0774986 0.169698i 0.866917 0.498453i \(-0.166098\pi\)
−0.944415 + 0.328755i \(0.893371\pi\)
\(278\) 21.8187 + 14.0220i 1.30860 + 0.840986i
\(279\) −7.07733 + 4.54832i −0.423708 + 0.272301i
\(280\) 1.46086 3.19883i 0.0873028 0.191167i
\(281\) −12.4510 8.00176i −0.742763 0.477345i 0.113724 0.993512i \(-0.463722\pi\)
−0.856488 + 0.516167i \(0.827358\pi\)
\(282\) −62.5553 −3.72512
\(283\) −14.9430 4.38766i −0.888269 0.260819i −0.194401 0.980922i \(-0.562276\pi\)
−0.693867 + 0.720103i \(0.744095\pi\)
\(284\) −10.8505 + 12.5221i −0.643856 + 0.743050i
\(285\) 0.607345 + 0.700914i 0.0359760 + 0.0415185i
\(286\) 10.5954 43.9950i 0.626520 2.60148i
\(287\) 17.0824 19.7142i 1.00834 1.16369i
\(288\) −2.76958 19.2629i −0.163199 1.13508i
\(289\) −23.6594 + 6.94703i −1.39173 + 0.408649i
\(290\) 0.824725 + 1.80589i 0.0484295 + 0.106046i
\(291\) 10.9577 + 12.6458i 0.642351 + 0.741312i
\(292\) 3.23587 22.5060i 0.189365 1.31706i
\(293\) −0.0283317 0.197051i −0.00165515 0.0115118i 0.988977 0.148068i \(-0.0473056\pi\)
−0.990632 + 0.136557i \(0.956396\pi\)
\(294\) −2.52260 5.52373i −0.147121 0.322150i
\(295\) −0.809954 + 1.77355i −0.0471573 + 0.103260i
\(296\) 11.8417 + 3.47703i 0.688284 + 0.202098i
\(297\) 2.35186 + 3.29109i 0.136469 + 0.190968i
\(298\) 47.1324 13.8393i 2.73030 0.801690i
\(299\) −1.43698 + 9.99443i −0.0831028 + 0.577993i
\(300\) 2.50265 5.48004i 0.144491 0.316390i
\(301\) −4.47936 + 1.31526i −0.258186 + 0.0758103i
\(302\) −9.28434 + 2.72613i −0.534254 + 0.156871i
\(303\) −38.4872 + 11.3008i −2.21103 + 0.649217i
\(304\) −0.959271 + 0.281667i −0.0550180 + 0.0161547i
\(305\) −4.02410 + 8.81156i −0.230420 + 0.504548i
\(306\) 4.86974 33.8698i 0.278384 1.93620i
\(307\) 13.8959 4.08021i 0.793083 0.232870i 0.139995 0.990152i \(-0.455291\pi\)
0.653088 + 0.757282i \(0.273473\pi\)
\(308\) 22.7262 + 9.05426i 1.29495 + 0.515915i
\(309\) 29.5323 + 8.67146i 1.68003 + 0.493302i
\(310\) 3.01505 6.60203i 0.171243 0.374970i
\(311\) 13.0898 + 28.6627i 0.742256 + 1.62531i 0.779808 + 0.626019i \(0.215317\pi\)
−0.0375521 + 0.999295i \(0.511956\pi\)
\(312\) 2.60786 + 18.1381i 0.147641 + 1.02687i
\(313\) 0.128273 0.892158i 0.00725041 0.0504277i −0.985875 0.167483i \(-0.946436\pi\)
0.993125 + 0.117055i \(0.0373453\pi\)
\(314\) 5.33953 + 6.16214i 0.301327 + 0.347750i
\(315\) −2.95122 6.46228i −0.166283 0.364108i
\(316\) −34.3169 + 10.0763i −1.93047 + 0.566839i
\(317\) 0.376610 + 2.61938i 0.0211525 + 0.147119i 0.997661 0.0683618i \(-0.0217772\pi\)
−0.976508 + 0.215481i \(0.930868\pi\)
\(318\) −9.26867 + 10.6966i −0.519761 + 0.599836i
\(319\) −2.73422 + 1.41536i −0.153087 + 0.0792452i
\(320\) 7.68992 + 8.87464i 0.429880 + 0.496107i
\(321\) −6.63396 + 7.65599i −0.370271 + 0.427316i
\(322\) −9.30720 2.73284i −0.518670 0.152295i
\(323\) −2.55734 −0.142294
\(324\) −22.2834 14.3207i −1.23797 0.795593i
\(325\) 2.65030 5.80335i 0.147012 0.321912i
\(326\) 21.8270 14.0274i 1.20889 0.776904i
\(327\) −14.9168 9.58645i −0.824901 0.530132i
\(328\) −4.63984 10.1598i −0.256192 0.560983i
\(329\) 5.09661 35.4477i 0.280985 1.95429i
\(330\) 15.4238 + 6.14493i 0.849052 + 0.338267i
\(331\) 0.194369 + 1.35187i 0.0106835 + 0.0743054i 0.994466 0.105062i \(-0.0335041\pi\)
−0.983782 + 0.179367i \(0.942595\pi\)
\(332\) 6.01135 3.86326i 0.329916 0.212024i
\(333\) 20.9746 13.4795i 1.14940 0.738675i
\(334\) 1.22137 8.49483i 0.0668305 0.464816i
\(335\) −7.42442 + 4.77138i −0.405639 + 0.260689i
\(336\) 16.9263 0.923406
\(337\) −0.264258 0.304970i −0.0143951 0.0166128i 0.748506 0.663128i \(-0.230771\pi\)
−0.762901 + 0.646515i \(0.776226\pi\)
\(338\) 8.43166 + 58.6435i 0.458622 + 3.18979i
\(339\) 28.0665 + 32.3905i 1.52437 + 1.75921i
\(340\) 6.90084 + 15.1107i 0.374251 + 0.819494i
\(341\) 10.4564 + 4.16587i 0.566243 + 0.225595i
\(342\) 0.872620 1.91077i 0.0471859 0.103323i
\(343\) −15.9127 + 4.67239i −0.859204 + 0.252285i
\(344\) −0.284476 + 1.97857i −0.0153379 + 0.106677i
\(345\) −3.55450 1.04370i −0.191368 0.0561907i
\(346\) 1.91721 + 13.3345i 0.103070 + 0.716867i
\(347\) −7.22118 15.8122i −0.387653 0.848842i −0.998374 0.0569962i \(-0.981848\pi\)
0.610721 0.791846i \(-0.290880\pi\)
\(348\) 3.66232 4.22655i 0.196321 0.226567i
\(349\) 11.0859 12.7939i 0.593417 0.684839i −0.377017 0.926206i \(-0.623050\pi\)
0.970434 + 0.241367i \(0.0775957\pi\)
\(350\) 5.15604 + 3.31359i 0.275602 + 0.177119i
\(351\) −6.54588 4.20678i −0.349393 0.224541i
\(352\) −18.8140 + 17.9991i −1.00279 + 0.959354i
\(353\) −19.6260 + 12.6128i −1.04458 + 0.671314i −0.946116 0.323827i \(-0.895031\pi\)
−0.0984679 + 0.995140i \(0.531394\pi\)
\(354\) 9.76031 0.518755
\(355\) −4.21579 4.86528i −0.223751 0.258222i
\(356\) −8.04921 + 17.6253i −0.426607 + 0.934140i
\(357\) 41.5426 + 12.1980i 2.19867 + 0.645586i
\(358\) 17.6104 20.3235i 0.930739 1.07413i
\(359\) 25.7332 + 16.5377i 1.35814 + 0.872827i 0.998190 0.0601430i \(-0.0191557\pi\)
0.359955 + 0.932970i \(0.382792\pi\)
\(360\) −3.04187 −0.160321
\(361\) 18.0797 + 5.30869i 0.951565 + 0.279405i
\(362\) 11.8866 0.624743
\(363\) −8.34010 + 24.3597i −0.437742 + 1.27855i
\(364\) −47.0581 −2.46652
\(365\) 8.47644 + 2.48891i 0.443677 + 0.130275i
\(366\) 48.4923 2.53473
\(367\) 5.03766 + 3.23751i 0.262964 + 0.168996i 0.665479 0.746417i \(-0.268228\pi\)
−0.402515 + 0.915413i \(0.631864\pi\)
\(368\) 2.61516 3.01806i 0.136325 0.157327i
\(369\) −21.6500 6.35701i −1.12705 0.330932i
\(370\) −8.93548 + 19.5660i −0.464534 + 1.01719i
\(371\) −5.30621 6.12369i −0.275484 0.317926i
\(372\) −20.4453 −1.06004
\(373\) 11.2368 7.22145i 0.581819 0.373912i −0.216377 0.976310i \(-0.569424\pi\)
0.798196 + 0.602397i \(0.205788\pi\)
\(374\) −40.6566 + 21.0458i −2.10230 + 1.08825i
\(375\) 1.96914 + 1.26549i 0.101686 + 0.0653494i
\(376\) −12.8997 8.29011i −0.665249 0.427530i
\(377\) 3.87839 4.47590i 0.199747 0.230521i
\(378\) 4.89516 5.64931i 0.251780 0.290569i
\(379\) 9.18460 + 20.1115i 0.471781 + 1.03306i 0.984642 + 0.174585i \(0.0558583\pi\)
−0.512861 + 0.858472i \(0.671414\pi\)
\(380\) 0.145130 + 1.00940i 0.00744502 + 0.0517812i
\(381\) −10.5524 3.09848i −0.540618 0.158740i
\(382\) 4.20697 29.2601i 0.215247 1.49708i
\(383\) −15.0340 + 4.41439i −0.768202 + 0.225565i −0.642274 0.766475i \(-0.722009\pi\)
−0.125928 + 0.992039i \(0.540191\pi\)
\(384\) 9.15259 20.0414i 0.467066 1.02273i
\(385\) −4.73873 + 8.23942i −0.241508 + 0.419920i
\(386\) −17.5526 38.4348i −0.893403 1.95628i
\(387\) 2.64447 + 3.05188i 0.134426 + 0.155136i
\(388\) 2.61843 + 18.2116i 0.132931 + 0.924552i
\(389\) −1.32443 1.52847i −0.0671513 0.0774967i 0.721180 0.692748i \(-0.243600\pi\)
−0.788331 + 0.615251i \(0.789055\pi\)
\(390\) −31.9373 −1.61721
\(391\) 8.59341 5.52265i 0.434587 0.279292i
\(392\) 0.211838 1.47336i 0.0106994 0.0744162i
\(393\) −12.5759 + 8.08201i −0.634368 + 0.407683i
\(394\) −28.1290 + 18.0774i −1.41712 + 0.910726i
\(395\) −1.97764 13.7548i −0.0995058 0.692078i
\(396\) −1.04212 21.1352i −0.0523687 1.06208i
\(397\) 2.27555 15.8268i 0.114207 0.794326i −0.849543 0.527519i \(-0.823122\pi\)
0.963750 0.266807i \(-0.0859686\pi\)
\(398\) −11.4907 25.1611i −0.575975 1.26121i
\(399\) 2.23597 + 1.43697i 0.111939 + 0.0719385i
\(400\) −2.12270 + 1.36418i −0.106135 + 0.0682088i
\(401\) 4.75376 10.4093i 0.237392 0.519815i −0.753014 0.658004i \(-0.771401\pi\)
0.990406 + 0.138189i \(0.0441281\pi\)
\(402\) 37.1662 + 23.8853i 1.85368 + 1.19129i
\(403\) −21.6515 −1.07854
\(404\) −42.3191 12.4260i −2.10545 0.618217i
\(405\) 6.73960 7.77792i 0.334894 0.386488i
\(406\) 3.72587 + 4.29989i 0.184912 + 0.213400i
\(407\) −30.9888 12.3461i −1.53606 0.611974i
\(408\) 12.1401 14.0104i 0.601023 0.693617i
\(409\) 1.05170 + 7.31472i 0.0520031 + 0.361690i 0.999162 + 0.0409254i \(0.0130306\pi\)
−0.947159 + 0.320764i \(0.896060\pi\)
\(410\) 18.6778 5.48431i 0.922433 0.270851i
\(411\) −4.49084 9.83356i −0.221517 0.485054i
\(412\) 22.1628 + 25.5773i 1.09188 + 1.26010i
\(413\) −0.795208 + 5.53079i −0.0391296 + 0.272152i
\(414\) 1.19411 + 8.30519i 0.0586871 + 0.408178i
\(415\) 1.15334 + 2.52547i 0.0566153 + 0.123970i
\(416\) 20.8062 45.5591i 1.02011 2.23372i
\(417\) 27.2368 + 7.99744i 1.33379 + 0.391636i
\(418\) −2.75874 + 0.536477i −0.134934 + 0.0262400i
\(419\) −23.5264 + 6.90797i −1.14934 + 0.337476i −0.800281 0.599625i \(-0.795317\pi\)
−0.349058 + 0.937101i \(0.613498\pi\)
\(420\) 2.45709 17.0894i 0.119894 0.833878i
\(421\) 4.88464 10.6959i 0.238063 0.521285i −0.752459 0.658639i \(-0.771133\pi\)
0.990522 + 0.137354i \(0.0438598\pi\)
\(422\) 31.8661 9.35672i 1.55122 0.455478i
\(423\) −29.7227 + 8.72737i −1.44517 + 0.424339i
\(424\) −3.32887 + 0.977446i −0.161664 + 0.0474690i
\(425\) −6.19287 + 1.81839i −0.300399 + 0.0882050i
\(426\) −13.3875 + 29.3144i −0.648624 + 1.42029i
\(427\) −3.95084 + 27.4787i −0.191195 + 1.32979i
\(428\) −10.6877 + 3.13821i −0.516612 + 0.151691i
\(429\) −2.43918 49.4687i −0.117765 2.38837i
\(430\) −3.34273 0.981513i −0.161201 0.0473328i
\(431\) −9.87111 + 21.6147i −0.475475 + 1.04114i 0.508209 + 0.861234i \(0.330308\pi\)
−0.983683 + 0.179910i \(0.942419\pi\)
\(432\) 1.27842 + 2.79934i 0.0615078 + 0.134683i
\(433\) 0.731177 + 5.08545i 0.0351381 + 0.244391i 0.999819 0.0190308i \(-0.00605804\pi\)
−0.964681 + 0.263422i \(0.915149\pi\)
\(434\) 2.96015 20.5883i 0.142092 0.988271i
\(435\) 1.42294 + 1.64216i 0.0682249 + 0.0787357i
\(436\) −8.09938 17.7352i −0.387890 0.849360i
\(437\) 0.601683 0.176670i 0.0287824 0.00845128i
\(438\) −6.29372 43.7738i −0.300726 2.09159i
\(439\) 7.30294 8.42804i 0.348550 0.402249i −0.554221 0.832370i \(-0.686984\pi\)
0.902771 + 0.430121i \(0.141529\pi\)
\(440\) 2.36622 + 3.31119i 0.112805 + 0.157855i
\(441\) −1.96923 2.27262i −0.0937730 0.108220i
\(442\) 57.6699 66.5546i 2.74308 3.16568i
\(443\) 5.93493 + 1.74265i 0.281977 + 0.0827959i 0.419663 0.907680i \(-0.362148\pi\)
−0.137686 + 0.990476i \(0.543966\pi\)
\(444\) 60.5922 2.87558
\(445\) −6.33328 4.07015i −0.300226 0.192944i
\(446\) −7.65292 + 16.7576i −0.362376 + 0.793493i
\(447\) 45.2289 29.0668i 2.13925 1.37481i
\(448\) 28.3108 + 18.1942i 1.33756 + 0.859597i
\(449\) −12.2171 26.7517i −0.576560 1.26249i −0.943230 0.332140i \(-0.892229\pi\)
0.366670 0.930351i \(-0.380498\pi\)
\(450\) 0.754492 5.24761i 0.0355671 0.247375i
\(451\) 9.92132 + 28.5118i 0.467177 + 1.34257i
\(452\) 6.70673 + 46.6463i 0.315458 + 2.19406i
\(453\) −8.90938 + 5.72571i −0.418599 + 0.269017i
\(454\) −31.2646 + 20.0925i −1.46732 + 0.942988i
\(455\) 2.60205 18.0977i 0.121986 0.848431i
\(456\) 0.957384 0.615274i 0.0448336 0.0288128i
\(457\) −3.65872 −0.171148 −0.0855738 0.996332i \(-0.527272\pi\)
−0.0855738 + 0.996332i \(0.527272\pi\)
\(458\) −26.5323 30.6200i −1.23978 1.43078i
\(459\) 1.12029 + 7.79176i 0.0522905 + 0.363688i
\(460\) −2.66751 3.07847i −0.124373 0.143535i
\(461\) 11.8081 + 25.8562i 0.549960 + 1.20424i 0.956801 + 0.290745i \(0.0939030\pi\)
−0.406841 + 0.913499i \(0.633370\pi\)
\(462\) 47.3731 + 4.44387i 2.20400 + 0.206748i
\(463\) −5.92032 + 12.9637i −0.275141 + 0.602474i −0.995875 0.0907376i \(-0.971078\pi\)
0.720734 + 0.693212i \(0.243805\pi\)
\(464\) −2.24746 + 0.659915i −0.104336 + 0.0306358i
\(465\) 1.13051 7.86285i 0.0524260 0.364631i
\(466\) −1.74487 0.512339i −0.0808293 0.0237336i
\(467\) 2.00644 + 13.9551i 0.0928468 + 0.645764i 0.982102 + 0.188352i \(0.0603144\pi\)
−0.889255 + 0.457412i \(0.848776\pi\)
\(468\) 16.9096 + 37.0268i 0.781644 + 1.71156i
\(469\) −16.5629 + 19.1146i −0.764804 + 0.882631i
\(470\) 17.5011 20.1973i 0.807264 0.931633i
\(471\) 7.50745 + 4.82475i 0.345925 + 0.222313i
\(472\) 2.01269 + 1.29348i 0.0926418 + 0.0595372i
\(473\) 1.26500 5.25261i 0.0581647 0.241515i
\(474\) −58.5207 + 37.6089i −2.68794 + 1.72744i
\(475\) −0.396221 −0.0181799
\(476\) 31.1760 + 35.9791i 1.42895 + 1.64910i
\(477\) −2.91161 + 6.37553i −0.133313 + 0.291915i
\(478\) 6.91434 + 2.03023i 0.316254 + 0.0928607i
\(479\) 4.25820 4.91423i 0.194562 0.224537i −0.650083 0.759863i \(-0.725266\pi\)
0.844645 + 0.535326i \(0.179811\pi\)
\(480\) 15.4587 + 9.93469i 0.705589 + 0.453454i
\(481\) 64.1670 2.92576
\(482\) −22.1885 6.51514i −1.01066 0.296757i
\(483\) −10.6167 −0.483076
\(484\) −22.1958 + 17.5751i −1.00890 + 0.798868i
\(485\) −7.14860 −0.324601
\(486\) −41.9245 12.3101i −1.90173 0.558399i
\(487\) −40.0805 −1.81622 −0.908111 0.418729i \(-0.862476\pi\)
−0.908111 + 0.418729i \(0.862476\pi\)
\(488\) 9.99969 + 6.42641i 0.452665 + 0.290910i
\(489\) 18.5964 21.4613i 0.840956 0.970515i
\(490\) 2.48920 + 0.730895i 0.112451 + 0.0330184i
\(491\) 2.57827 5.64562i 0.116356 0.254783i −0.842490 0.538713i \(-0.818911\pi\)
0.958845 + 0.283929i \(0.0916382\pi\)
\(492\) −35.9099 41.4423i −1.61895 1.86836i
\(493\) −5.99156 −0.269846
\(494\) 4.54794 2.92278i 0.204622 0.131502i
\(495\) 8.18581 + 0.767876i 0.367925 + 0.0345135i
\(496\) 7.20382 + 4.62962i 0.323461 + 0.207876i
\(497\) −15.5206 9.97450i −0.696195 0.447418i
\(498\) 9.10145 10.5036i 0.407846 0.470679i
\(499\) −25.4126 + 29.3277i −1.13762 + 1.31289i −0.194325 + 0.980937i \(0.562252\pi\)
−0.943297 + 0.331949i \(0.892294\pi\)
\(500\) 1.06918 + 2.34118i 0.0478153 + 0.104701i
\(501\) −1.33678 9.29750i −0.0597229 0.415382i
\(502\) 46.0989 + 13.5359i 2.05750 + 0.604135i
\(503\) 4.65831 32.3993i 0.207704 1.44461i −0.572920 0.819611i \(-0.694190\pi\)
0.780624 0.625001i \(-0.214901\pi\)
\(504\) −8.36440 + 2.45601i −0.372580 + 0.109399i
\(505\) 7.11881 15.5880i 0.316783 0.693658i
\(506\) 8.11164 7.76030i 0.360606 0.344987i
\(507\) 26.9375 + 58.9848i 1.19634 + 2.61961i
\(508\) −7.91919 9.13923i −0.351357 0.405488i
\(509\) 0.265784 + 1.84857i 0.0117807 + 0.0819365i 0.994864 0.101225i \(-0.0322761\pi\)
−0.983083 + 0.183161i \(0.941367\pi\)
\(510\) 21.1585 + 24.4182i 0.936915 + 1.08126i
\(511\) 25.3177 1.11999
\(512\) −21.8737 + 14.0573i −0.966688 + 0.621253i
\(513\) −0.0687728 + 0.478325i −0.00303639 + 0.0211186i
\(514\) −2.35101 + 1.51090i −0.103699 + 0.0666430i
\(515\) −11.0620 + 7.10912i −0.487450 + 0.313265i
\(516\) 1.39666 + 9.71397i 0.0614844 + 0.427634i
\(517\) 32.6209 + 25.5654i 1.43466 + 1.12437i
\(518\) −8.77280 + 61.0162i −0.385455 + 2.68090i
\(519\) 6.12511 + 13.4121i 0.268862 + 0.588727i
\(520\) −6.58586 4.23248i −0.288809 0.185606i
\(521\) 29.0226 18.6517i 1.27150 0.817145i 0.281687 0.959506i \(-0.409106\pi\)
0.989815 + 0.142361i \(0.0454695\pi\)
\(522\) 2.04445 4.47672i 0.0894832 0.195941i
\(523\) 19.9556 + 12.8247i 0.872596 + 0.560784i 0.898546 0.438880i \(-0.144625\pi\)
−0.0259494 + 0.999663i \(0.508261\pi\)
\(524\) −16.4373 −0.718068
\(525\) 6.43640 + 1.88990i 0.280907 + 0.0824819i
\(526\) 39.5958 45.6959i 1.72646 1.99244i
\(527\) 14.3441 + 16.5540i 0.624840 + 0.721104i
\(528\) −9.76606 + 16.9807i −0.425013 + 0.738988i
\(529\) 13.4215 15.4892i 0.583543 0.673445i
\(530\) −0.860538 5.98517i −0.0373794 0.259979i
\(531\) 4.63754 1.36170i 0.201252 0.0590929i
\(532\) 1.21406 + 2.65843i 0.0526364 + 0.115258i
\(533\) −38.0285 43.8873i −1.64720 1.90097i
\(534\) −5.36337 + 37.3031i −0.232096 + 1.61426i
\(535\) −0.615921 4.28383i −0.0266286 0.185206i
\(536\) 4.49874 + 9.85086i 0.194316 + 0.425492i
\(537\) 12.2268 26.7731i 0.527627 1.15534i
\(538\) 49.9803 + 14.6755i 2.15480 + 0.632707i
\(539\) −0.941995 + 3.91142i −0.0405746 + 0.168477i
\(540\) 3.01189 0.884371i 0.129611 0.0380573i
\(541\) 4.13034 28.7272i 0.177577 1.23508i −0.684770 0.728760i \(-0.740097\pi\)
0.862347 0.506318i \(-0.168994\pi\)
\(542\) −18.4372 + 40.3717i −0.791944 + 1.73412i
\(543\) 12.4827 3.66526i 0.535685 0.157291i
\(544\) −48.6171 + 14.2753i −2.08444 + 0.612047i
\(545\) 7.26845 2.13421i 0.311346 0.0914195i
\(546\) −87.8199 + 25.7862i −3.75834 + 1.10355i
\(547\) 7.23228 15.8365i 0.309230 0.677119i −0.689665 0.724129i \(-0.742242\pi\)
0.998894 + 0.0470100i \(0.0149693\pi\)
\(548\) 1.69167 11.7658i 0.0722646 0.502611i
\(549\) 23.0407 6.76537i 0.983355 0.288739i
\(550\) −6.29913 + 3.26074i −0.268596 + 0.139038i
\(551\) −0.352915 0.103625i −0.0150347 0.00441458i
\(552\) −1.88839 + 4.13500i −0.0803752 + 0.175997i
\(553\) −16.5436 36.2255i −0.703507 1.54047i
\(554\) −0.945016 6.57273i −0.0401499 0.279248i
\(555\) −3.35041 + 23.3026i −0.142217 + 0.989140i
\(556\) 20.4401 + 23.5892i 0.866854 + 1.00040i
\(557\) −18.6359 40.8070i −0.789630 1.72905i −0.677707 0.735332i \(-0.737026\pi\)
−0.111923 0.993717i \(-0.535701\pi\)
\(558\) −17.2632 + 5.06893i −0.730809 + 0.214585i
\(559\) 1.47906 + 10.2871i 0.0625575 + 0.435097i
\(560\) −4.73547 + 5.46502i −0.200110 + 0.230939i
\(561\) −36.2062 + 34.6380i −1.52863 + 1.46242i
\(562\) −20.7283 23.9217i −0.874369 1.00908i
\(563\) −3.60983 + 4.16596i −0.152136 + 0.175574i −0.826702 0.562641i \(-0.809786\pi\)
0.674566 + 0.738215i \(0.264331\pi\)
\(564\) −72.2335 21.2097i −3.04158 0.893088i
\(565\) −18.3101 −0.770313
\(566\) −28.0195 18.0070i −1.17775 0.756891i
\(567\) 12.2524 26.8289i 0.514551 1.12671i
\(568\) −6.64553 + 4.27082i −0.278840 + 0.179200i
\(569\) −30.5368 19.6248i −1.28017 0.822716i −0.289262 0.957250i \(-0.593410\pi\)
−0.990909 + 0.134534i \(0.957046\pi\)
\(570\) 0.823960 + 1.80422i 0.0345119 + 0.0755705i
\(571\) 3.47174 24.1465i 0.145288 1.01050i −0.778514 0.627627i \(-0.784026\pi\)
0.923802 0.382871i \(-0.125065\pi\)
\(572\) 27.1514 47.2092i 1.13526 1.97392i
\(573\) −4.60449 32.0249i −0.192355 1.33786i
\(574\) 46.9315 30.1610i 1.95888 1.25890i
\(575\) 1.33142 0.855651i 0.0555240 0.0356831i
\(576\) 4.14277 28.8136i 0.172615 1.20057i
\(577\) 20.3572 13.0828i 0.847481 0.544643i −0.0433070 0.999062i \(-0.513789\pi\)
0.890788 + 0.454419i \(0.150153\pi\)
\(578\) −52.7350 −2.19349
\(579\) −30.2844 34.9501i −1.25858 1.45248i
\(580\) 0.340024 + 2.36492i 0.0141187 + 0.0981978i
\(581\) 5.21047 + 6.01321i 0.216167 + 0.249470i
\(582\) 14.8658 + 32.5516i 0.616208 + 1.34931i
\(583\) 9.20489 1.79002i 0.381228 0.0741353i
\(584\) 4.50326 9.86076i 0.186346 0.408041i
\(585\) −15.1748 + 4.45572i −0.627400 + 0.184221i
\(586\) 0.0605912 0.421421i 0.00250300 0.0174087i
\(587\) 1.71949 + 0.504888i 0.0709710 + 0.0208390i 0.317025 0.948417i \(-0.397316\pi\)
−0.246054 + 0.969256i \(0.579134\pi\)
\(588\) −1.04004 7.23362i −0.0428904 0.298309i
\(589\) 0.558592 + 1.22315i 0.0230164 + 0.0503989i
\(590\) −2.73064 + 3.15132i −0.112419 + 0.129738i
\(591\) −23.9656 + 27.6577i −0.985811 + 1.13769i
\(592\) −21.3495 13.7205i −0.877458 0.563908i
\(593\) 2.35381 + 1.51270i 0.0966592 + 0.0621191i 0.588077 0.808805i \(-0.299885\pi\)
−0.491418 + 0.870924i \(0.663521\pi\)
\(594\) 2.84307 + 8.17039i 0.116652 + 0.335235i
\(595\) −15.5607 + 10.0003i −0.637927 + 0.409971i
\(596\) 59.1166 2.42151
\(597\) −19.8255 22.8798i −0.811403 0.936409i
\(598\) −8.97057 + 19.6428i −0.366834 + 0.803254i
\(599\) 25.7967 + 7.57459i 1.05402 + 0.309489i 0.762442 0.647057i \(-0.224000\pi\)
0.291582 + 0.956546i \(0.405818\pi\)
\(600\) 1.88092 2.17070i 0.0767883 0.0886184i
\(601\) −9.89903 6.36172i −0.403790 0.259500i 0.322945 0.946418i \(-0.395327\pi\)
−0.726735 + 0.686918i \(0.758963\pi\)
\(602\) −9.98415 −0.406924
\(603\) 20.9916 + 6.16368i 0.854843 + 0.251005i
\(604\) −11.6451 −0.473830
\(605\) −5.53174 9.50788i −0.224897 0.386550i
\(606\) −85.7849 −3.48477
\(607\) −38.2664 11.2360i −1.55318 0.456056i −0.611134 0.791527i \(-0.709286\pi\)
−0.942051 + 0.335471i \(0.891105\pi\)
\(608\) −3.11053 −0.126149
\(609\) 5.23863 + 3.36666i 0.212280 + 0.136424i
\(610\) −13.5667 + 15.6568i −0.549298 + 0.633924i
\(611\) −76.4951 22.4610i −3.09466 0.908674i
\(612\) 17.1068 37.4587i 0.691503 1.51418i
\(613\) 7.32477 + 8.45324i 0.295845 + 0.341423i 0.884139 0.467224i \(-0.154746\pi\)
−0.588294 + 0.808647i \(0.700200\pi\)
\(614\) 30.9730 1.24997
\(615\) 17.9235 11.5187i 0.722746 0.464481i
\(616\) 9.17999 + 7.19448i 0.369872 + 0.289874i
\(617\) −18.6711 11.9992i −0.751669 0.483068i 0.107853 0.994167i \(-0.465602\pi\)
−0.859522 + 0.511098i \(0.829239\pi\)
\(618\) 55.3757 + 35.5878i 2.22754 + 1.43155i
\(619\) −10.7197 + 12.3712i −0.430863 + 0.497242i −0.929116 0.369790i \(-0.879430\pi\)
0.498253 + 0.867032i \(0.333975\pi\)
\(620\) 5.71996 6.60118i 0.229719 0.265110i
\(621\) −0.801860 1.75583i −0.0321775 0.0704590i
\(622\) 9.59045 + 66.7030i 0.384542 + 2.67455i
\(623\) −20.7012 6.07843i −0.829377 0.243527i
\(624\) 5.36257 37.2975i 0.214675 1.49310i
\(625\) −0.959493 + 0.281733i −0.0383797 + 0.0112693i
\(626\) 0.800763 1.75343i 0.0320049 0.0700810i
\(627\) −2.73168 + 1.41405i −0.109093 + 0.0564718i
\(628\) 4.07632 + 8.92590i 0.162663 + 0.356182i
\(629\) −42.5107 49.0599i −1.69501 1.95615i
\(630\) −2.16226 15.0388i −0.0861464 0.599161i
\(631\) −28.1924 32.5358i −1.12232 1.29523i −0.950716 0.310062i \(-0.899650\pi\)
−0.171605 0.985166i \(-0.554895\pi\)
\(632\) −17.0518 −0.678283
\(633\) 30.5791 19.6520i 1.21541 0.781098i
\(634\) −0.805431 + 5.60190i −0.0319878 + 0.222480i
\(635\) 3.95266 2.54022i 0.156857 0.100806i
\(636\) −14.3294 + 9.20894i −0.568197 + 0.365158i
\(637\) −1.10140 7.66038i −0.0436389 0.303515i
\(638\) −6.46343 + 1.25691i −0.255890 + 0.0497614i
\(639\) −2.27116 + 15.7963i −0.0898457 + 0.624891i
\(640\) 3.91017 + 8.56207i 0.154563 + 0.338445i
\(641\) 18.1318 + 11.6526i 0.716162 + 0.460250i 0.847300 0.531115i \(-0.178227\pi\)
−0.131138 + 0.991364i \(0.541863\pi\)
\(642\) −18.2258 + 11.7130i −0.719317 + 0.462277i
\(643\) −15.0806 + 33.0219i −0.594722 + 1.30226i 0.337825 + 0.941209i \(0.390309\pi\)
−0.932547 + 0.361050i \(0.882419\pi\)
\(644\) −9.82057 6.31130i −0.386985 0.248700i
\(645\) −3.81303 −0.150138
\(646\) −5.24768 1.54086i −0.206467 0.0606242i
\(647\) −11.8556 + 13.6821i −0.466093 + 0.537901i −0.939321 0.343040i \(-0.888543\pi\)
0.473227 + 0.880940i \(0.343089\pi\)
\(648\) −8.27003 9.54412i −0.324877 0.374929i
\(649\) −5.08973 3.98889i −0.199789 0.156578i
\(650\) 8.93509 10.3116i 0.350463 0.404456i
\(651\) −3.23986 22.5337i −0.126980 0.883165i
\(652\) 29.9600 8.79704i 1.17332 0.344519i
\(653\) −12.9004 28.2479i −0.504831 1.10543i −0.974869 0.222780i \(-0.928487\pi\)
0.470037 0.882646i \(-0.344240\pi\)
\(654\) −24.8333 28.6592i −0.971060 1.12066i
\(655\) 0.908891 6.32148i 0.0355133 0.247001i
\(656\) 3.26858 + 22.7335i 0.127617 + 0.887594i
\(657\) −9.09749 19.9207i −0.354927 0.777181i
\(658\) 31.8163 69.6681i 1.24033 2.71594i
\(659\) 24.4745 + 7.18636i 0.953391 + 0.279941i 0.721198 0.692729i \(-0.243592\pi\)
0.232193 + 0.972670i \(0.425410\pi\)
\(660\) 15.7266 + 12.3251i 0.612157 + 0.479755i
\(661\) 26.0474 7.64821i 1.01313 0.297481i 0.267295 0.963615i \(-0.413870\pi\)
0.745832 + 0.666134i \(0.232052\pi\)
\(662\) −0.415685 + 2.89115i −0.0161561 + 0.112368i
\(663\) 40.0400 87.6754i 1.55503 3.40503i
\(664\) 3.26881 0.959811i 0.126855 0.0372479i
\(665\) −1.08951 + 0.319910i −0.0422495 + 0.0124056i
\(666\) 51.1617 15.0224i 1.98248 0.582108i
\(667\) 1.40968 0.413918i 0.0545829 0.0160270i
\(668\) 4.29054 9.39497i 0.166006 0.363502i
\(669\) −2.86950 + 19.9578i −0.110941 + 0.771614i
\(670\) −18.1098 + 5.31753i −0.699644 + 0.205434i
\(671\) −25.2874 19.8181i −0.976209 0.765067i
\(672\) 50.5289 + 14.8366i 1.94919 + 0.572335i
\(673\) −2.95783 + 6.47674i −0.114016 + 0.249660i −0.958034 0.286655i \(-0.907457\pi\)
0.844018 + 0.536315i \(0.180184\pi\)
\(674\) −0.358508 0.785023i −0.0138092 0.0302379i
\(675\) 0.173572 + 1.20722i 0.00668077 + 0.0464658i
\(676\) −10.1472 + 70.5752i −0.390276 + 2.71443i
\(677\) −2.42695 2.80086i −0.0932754 0.107646i 0.707193 0.707021i \(-0.249961\pi\)
−0.800468 + 0.599375i \(0.795416\pi\)
\(678\) 38.0767 + 83.3763i 1.46233 + 3.20205i
\(679\) −19.6569 + 5.77179i −0.754363 + 0.221501i
\(680\) 1.12713 + 7.83935i 0.0432234 + 0.300625i
\(681\) −26.6370 + 30.7408i −1.02073 + 1.17799i
\(682\) 18.9465 + 14.8486i 0.725498 + 0.568582i
\(683\) −16.8986 19.5021i −0.646609 0.746226i 0.333920 0.942601i \(-0.391628\pi\)
−0.980529 + 0.196375i \(0.937083\pi\)
\(684\) 1.65548 1.91053i 0.0632989 0.0730508i
\(685\) 4.43137 + 1.30117i 0.169314 + 0.0497151i
\(686\) −35.4682 −1.35418
\(687\) −37.3048 23.9744i −1.42327 0.914679i
\(688\) 1.70752 3.73894i 0.0650985 0.142546i
\(689\) −15.1748 + 9.75224i −0.578113 + 0.371531i
\(690\) −6.66501 4.28334i −0.253732 0.163064i
\(691\) −16.1233 35.3050i −0.613358 1.34307i −0.920253 0.391324i \(-0.872017\pi\)
0.306895 0.951743i \(-0.400710\pi\)
\(692\) −2.30729 + 16.0476i −0.0877101 + 0.610037i
\(693\) 23.1290 4.49776i 0.878597 0.170856i
\(694\) −5.29070 36.7976i −0.200832 1.39682i
\(695\) −10.2022 + 6.55653i −0.386990 + 0.248703i
\(696\) 2.24305 1.44152i 0.0850224 0.0546406i
\(697\) −8.36081 + 58.1507i −0.316688 + 2.20262i
\(698\) 30.4570 19.5735i 1.15282 0.740869i
\(699\) −1.99036 −0.0752823
\(700\) 4.83026 + 5.57442i 0.182567 + 0.210693i
\(701\) 5.63344 + 39.1814i 0.212772 + 1.47986i 0.763842 + 0.645403i \(0.223311\pi\)
−0.551070 + 0.834459i \(0.685780\pi\)
\(702\) −10.8975 12.5764i −0.411300 0.474666i
\(703\) −1.65546 3.62495i −0.0624369 0.136718i
\(704\) −34.5873 + 17.9041i −1.30356 + 0.674785i
\(705\) 12.1509 26.6068i 0.457630 1.00207i
\(706\) −47.8721 + 14.0565i −1.80169 + 0.529024i
\(707\) 6.98921 48.6110i 0.262856 1.82820i
\(708\) 11.2704 + 3.30928i 0.423566 + 0.124370i
\(709\) 1.34444 + 9.35081i 0.0504917 + 0.351177i 0.999369 + 0.0355309i \(0.0113122\pi\)
−0.948877 + 0.315646i \(0.897779\pi\)
\(710\) −5.71938 12.5237i −0.214645 0.470006i
\(711\) −22.5587 + 26.0341i −0.846016 + 0.976354i
\(712\) −6.04956 + 6.98156i −0.226717 + 0.261645i
\(713\) −4.51845 2.90383i −0.169217 0.108749i
\(714\) 77.8960 + 50.0607i 2.91519 + 1.87348i
\(715\) 16.6544 + 13.0523i 0.622840 + 0.488128i
\(716\) 27.2257 17.4969i 1.01747 0.653891i
\(717\) 7.88716 0.294551
\(718\) 42.8403 + 49.4403i 1.59879 + 1.84510i
\(719\) 7.18766 15.7388i 0.268054 0.586957i −0.726961 0.686679i \(-0.759068\pi\)
0.995015 + 0.0997215i \(0.0317952\pi\)
\(720\) 6.00165 + 1.76224i 0.223668 + 0.0656750i
\(721\) −24.6779 + 28.4798i −0.919053 + 1.06064i
\(722\) 33.9011 + 21.7869i 1.26167 + 0.810826i
\(723\) −25.3104 −0.941303
\(724\) 13.7256 + 4.03019i 0.510106 + 0.149781i
\(725\) −0.928303 −0.0344763
\(726\) −31.7912 + 44.9612i −1.17988 + 1.66867i
\(727\) 6.25030 0.231811 0.115905 0.993260i \(-0.463023\pi\)
0.115905 + 0.993260i \(0.463023\pi\)
\(728\) −21.5268 6.32085i −0.797837 0.234266i
\(729\) −16.9481 −0.627706
\(730\) 15.8941 + 10.2145i 0.588267 + 0.378056i
\(731\) 6.88528 7.94603i 0.254661 0.293895i
\(732\) 55.9947 + 16.4415i 2.06962 + 0.607696i
\(733\) 11.3385 24.8278i 0.418795 0.917034i −0.576218 0.817296i \(-0.695472\pi\)
0.995014 0.0997382i \(-0.0318005\pi\)
\(734\) 8.38664 + 9.67869i 0.309556 + 0.357247i
\(735\) 2.83942 0.104734
\(736\) 10.4523 6.71728i 0.385277 0.247602i
\(737\) −9.61960 27.6447i −0.354342 1.01831i
\(738\) −40.5956 26.0892i −1.49435 0.960358i
\(739\) 9.45714 + 6.07774i 0.347887 + 0.223573i 0.702901 0.711288i \(-0.251888\pi\)
−0.355014 + 0.934861i \(0.615524\pi\)
\(740\) −16.9518 + 19.5635i −0.623162 + 0.719168i
\(741\) 3.87479 4.47175i 0.142344 0.164274i
\(742\) −7.19870 15.7630i −0.264273 0.578677i
\(743\) −7.06538 49.1408i −0.259204 1.80280i −0.538532 0.842605i \(-0.681021\pi\)
0.279329 0.960196i \(-0.409888\pi\)
\(744\) −9.35272 2.74621i −0.342887 0.100681i
\(745\) −3.26882 + 22.7351i −0.119760 + 0.832950i
\(746\) 27.4091 8.04803i 1.00352 0.294659i
\(747\) 2.85908 6.26050i 0.104608 0.229060i
\(748\) −54.0824 + 10.5171i −1.97745 + 0.384543i
\(749\) −5.15240 11.2822i −0.188265 0.412242i
\(750\) 3.27819 + 3.78324i 0.119703 + 0.138144i
\(751\) 4.01053 + 27.8939i 0.146346 + 1.01786i 0.922135 + 0.386868i \(0.126443\pi\)
−0.775789 + 0.630993i \(0.782648\pi\)
\(752\) 20.6485 + 23.8297i 0.752974 + 0.868979i
\(753\) 52.5849 1.91630
\(754\) 10.6553 6.84776i 0.388044 0.249381i
\(755\) 0.643906 4.47846i 0.0234341 0.162988i
\(756\) 7.56793 4.86361i 0.275243 0.176888i
\(757\) 16.2698 10.4560i 0.591336 0.380029i −0.210481 0.977598i \(-0.567503\pi\)
0.801817 + 0.597569i \(0.203867\pi\)
\(758\) 6.72923 + 46.8028i 0.244417 + 1.69995i
\(759\) 6.12556 10.6508i 0.222344 0.386598i
\(760\) −0.0691928 + 0.481247i −0.00250989 + 0.0174566i
\(761\) 10.4583 + 22.9004i 0.379111 + 0.830138i 0.998968 + 0.0454231i \(0.0144636\pi\)
−0.619856 + 0.784715i \(0.712809\pi\)
\(762\) −19.7868 12.7162i −0.716799 0.460659i
\(763\) 18.2633 11.7371i 0.661176 0.424912i
\(764\) 14.7786 32.3607i 0.534672 1.17077i
\(765\) 13.4600 + 8.65022i 0.486647 + 0.312749i
\(766\) −33.5097 −1.21075
\(767\) 11.9353 + 3.50452i 0.430958 + 0.126541i
\(768\) −5.14326 + 5.93564i −0.185591 + 0.214184i
\(769\) −32.2358 37.2021i −1.16245 1.34154i −0.929399 0.369077i \(-0.879674\pi\)
−0.233053 0.972464i \(-0.574872\pi\)
\(770\) −14.6883 + 14.0522i −0.529331 + 0.506405i
\(771\) −2.00303 + 2.31162i −0.0721374 + 0.0832510i
\(772\) −7.23671 50.3324i −0.260455 1.81150i
\(773\) 21.6017 6.34282i 0.776958 0.228135i 0.130871 0.991399i \(-0.458223\pi\)
0.646087 + 0.763264i \(0.276404\pi\)
\(774\) 3.58764 + 7.85584i 0.128955 + 0.282372i
\(775\) 2.22241 + 2.56479i 0.0798312 + 0.0921301i
\(776\) −1.24837 + 8.68262i −0.0448140 + 0.311688i
\(777\) 9.60174 + 66.7816i 0.344461 + 2.39578i
\(778\) −1.79680 3.93444i −0.0644184 0.141057i
\(779\) −1.49819 + 3.28059i −0.0536784 + 0.117539i
\(780\) −36.8785 10.8285i −1.32046 0.387722i
\(781\) 18.9615 9.81541i 0.678497 0.351223i
\(782\) 20.9613 6.15478i 0.749573 0.220094i
\(783\) −0.161127 + 1.12066i −0.00575821 + 0.0400492i
\(784\) −1.27152 + 2.78425i −0.0454115 + 0.0994374i
\(785\) −3.65813 + 1.07412i −0.130564 + 0.0383371i
\(786\) −30.6753 + 9.00709i −1.09415 + 0.321272i
\(787\) −2.40752 + 0.706912i −0.0858189 + 0.0251987i −0.324360 0.945934i \(-0.605149\pi\)
0.238541 + 0.971132i \(0.423331\pi\)
\(788\) −38.6101 + 11.3370i −1.37543 + 0.403862i
\(789\) 27.4912 60.1973i 0.978712 2.14308i
\(790\) 4.22945 29.4165i 0.150477 1.04659i
\(791\) −50.3484 + 14.7836i −1.79018 + 0.525645i
\(792\) 2.36216 9.80831i 0.0839355 0.348523i
\(793\) 59.2982 + 17.4115i 2.10574 + 0.618302i
\(794\) 14.2055 31.1057i 0.504134 1.10390i
\(795\) −2.74925 6.02001i −0.0975057 0.213508i
\(796\) −4.73746 32.9498i −0.167915 1.16787i
\(797\) −2.48403 + 17.2768i −0.0879887 + 0.611975i 0.897344 + 0.441332i \(0.145494\pi\)
−0.985333 + 0.170644i \(0.945415\pi\)
\(798\) 3.72242 + 4.29590i 0.131772 + 0.152073i
\(799\) 33.5051 + 73.3660i 1.18533 + 2.59550i
\(800\) −7.53249 + 2.21174i −0.266314 + 0.0781968i
\(801\) 2.65595 + 18.4725i 0.0938434 + 0.652695i
\(802\) 16.0266 18.4957i 0.565919 0.653105i
\(803\) −14.6077 + 25.3990i −0.515494 + 0.896310i
\(804\) 34.8179 + 40.1820i 1.22793 + 1.41711i
\(805\) 2.97023 3.42782i 0.104687 0.120815i
\(806\) −44.4290 13.0455i −1.56494 0.459509i
\(807\) 57.0123 2.00693
\(808\) −17.6899 11.3686i −0.622328 0.399946i
\(809\) 2.17707 4.76712i 0.0765418 0.167603i −0.867493 0.497450i \(-0.834270\pi\)
0.944034 + 0.329847i \(0.106997\pi\)
\(810\) 18.5161 11.8996i 0.650589 0.418108i
\(811\) 0.377442 + 0.242568i 0.0132538 + 0.00851770i 0.547251 0.836969i \(-0.315674\pi\)
−0.533997 + 0.845486i \(0.679311\pi\)
\(812\) 2.84442 + 6.22841i 0.0998195 + 0.218574i
\(813\) −6.91311 + 48.0818i −0.242453 + 1.68630i
\(814\) −56.1504 44.0058i −1.96807 1.54240i
\(815\) 1.72655 + 12.0085i 0.0604786 + 0.420638i
\(816\) −32.0691 + 20.6096i −1.12264 + 0.721480i
\(817\) 0.542984 0.348954i 0.0189966 0.0122084i
\(818\) −2.24920 + 15.6435i −0.0786414 + 0.546963i
\(819\) −38.1294 + 24.5043i −1.33235 + 0.856249i
\(820\) 23.4270 0.818107
\(821\) −20.5610 23.7286i −0.717582 0.828134i 0.273432 0.961891i \(-0.411841\pi\)
−0.991014 + 0.133757i \(0.957296\pi\)
\(822\) −3.29028 22.8844i −0.114762 0.798184i
\(823\) −7.28005 8.40163i −0.253767 0.292862i 0.614545 0.788882i \(-0.289340\pi\)
−0.868311 + 0.496020i \(0.834794\pi\)
\(824\) 6.70289 + 14.6773i 0.233506 + 0.511307i
\(825\) −5.60960 + 5.36664i −0.195301 + 0.186842i
\(826\) −4.96420 + 10.8701i −0.172727 + 0.378219i
\(827\) 14.3157 4.20346i 0.497804 0.146168i −0.0231860 0.999731i \(-0.507381\pi\)
0.520990 + 0.853563i \(0.325563\pi\)
\(828\) −1.43706 + 9.99498i −0.0499413 + 0.347350i
\(829\) 37.9959 + 11.1566i 1.31965 + 0.387485i 0.864367 0.502862i \(-0.167719\pi\)
0.455284 + 0.890346i \(0.349538\pi\)
\(830\) 0.845012 + 5.87719i 0.0293308 + 0.204000i
\(831\) −3.01914 6.61098i −0.104733 0.229333i
\(832\) 49.0608 56.6192i 1.70088 1.96292i
\(833\) −5.12720 + 5.91710i −0.177647 + 0.205015i
\(834\) 51.0714 + 32.8216i 1.76846 + 1.13652i
\(835\) 3.37588 + 2.16955i 0.116827 + 0.0750803i
\(836\) −3.36745 0.315886i −0.116466 0.0109252i
\(837\) 3.48201 2.23775i 0.120356 0.0773480i
\(838\) −52.4385 −1.81146
\(839\) 26.2666 + 30.3133i 0.906824 + 1.04653i 0.998711 + 0.0507611i \(0.0161647\pi\)
−0.0918869 + 0.995769i \(0.529290\pi\)
\(840\) 3.41945 7.48755i 0.117982 0.258345i
\(841\) 26.9985 + 7.92746i 0.930981 + 0.273361i
\(842\) 16.4678 19.0049i 0.567519 0.654952i
\(843\) −29.1442 18.7298i −1.00378 0.645090i
\(844\) 39.9686 1.37578
\(845\) −26.5808 7.80482i −0.914407 0.268494i
\(846\) −66.2496 −2.27771
\(847\) −22.8876 21.6780i −0.786428 0.744865i
\(848\) 7.13418 0.244989
\(849\) −34.9773 10.2703i −1.20042 0.352474i
\(850\) −13.8034 −0.473454
\(851\) 13.3910 + 8.60589i 0.459038 + 0.295006i
\(852\) −25.3978 + 29.3107i −0.870116 + 1.00417i
\(853\) 26.5876 + 7.80683i 0.910343 + 0.267301i 0.703185 0.711007i \(-0.251761\pi\)
0.207158 + 0.978308i \(0.433579\pi\)
\(854\) −24.6637 + 54.0060i −0.843975 + 1.84805i
\(855\) 0.643213 + 0.742307i 0.0219974 + 0.0253864i
\(856\) −5.31065 −0.181514
\(857\) −3.37038 + 2.16601i −0.115130 + 0.0739895i −0.596939 0.802287i \(-0.703616\pi\)
0.481809 + 0.876276i \(0.339980\pi\)
\(858\) 24.8009 102.980i 0.846687 3.51567i
\(859\) −0.521041 0.334853i −0.0177777 0.0114250i 0.531722 0.846919i \(-0.321545\pi\)
−0.549499 + 0.835494i \(0.685182\pi\)
\(860\) −3.52710 2.26673i −0.120273 0.0772949i
\(861\) 39.9851 46.1452i 1.36269 1.57263i
\(862\) −33.2790 + 38.4060i −1.13349 + 1.30811i
\(863\) 12.8857 + 28.2158i 0.438636 + 0.960478i 0.991847 + 0.127437i \(0.0406750\pi\)
−0.553211 + 0.833041i \(0.686598\pi\)
\(864\) 1.36262 + 9.47724i 0.0463573 + 0.322422i
\(865\) −6.04400 1.77468i −0.205502 0.0603409i
\(866\) −1.56372 + 10.8759i −0.0531374 + 0.369579i
\(867\) −55.3799 + 16.2610i −1.88080 + 0.552253i
\(868\) 10.3987 22.7699i 0.352954 0.772862i
\(869\) 45.8871 + 4.30447i 1.55661 + 0.146019i
\(870\) 1.93045 + 4.22709i 0.0654482 + 0.143312i
\(871\) 36.8721 + 42.5526i 1.24936 + 1.44184i
\(872\) −1.32289 9.20089i −0.0447986 0.311581i
\(873\) 11.6048 + 13.3927i 0.392763 + 0.453273i
\(874\) 1.34111 0.0453636
\(875\) −2.41090 + 1.54939i −0.0815033 + 0.0523790i
\(876\) 7.57425 52.6801i 0.255910 1.77989i
\(877\) −7.96539 + 5.11904i −0.268972 + 0.172858i −0.668174 0.744005i \(-0.732924\pi\)
0.399202 + 0.916863i \(0.369287\pi\)
\(878\) 20.0638 12.8942i 0.677120 0.435158i
\(879\) −0.0663164 0.461241i −0.00223680 0.0155573i
\(880\) −2.75032 7.90385i −0.0927132 0.266439i
\(881\) −1.19852 + 8.33588i −0.0403791 + 0.280843i −1.00000 0.000453906i \(-0.999856\pi\)
0.959621 + 0.281297i \(0.0907646\pi\)
\(882\) −2.67158 5.84994i −0.0899567 0.196978i
\(883\) −18.2271 11.7138i −0.613389 0.394201i 0.196737 0.980456i \(-0.436965\pi\)
−0.810127 + 0.586255i \(0.800602\pi\)
\(884\) 89.1578 57.2983i 2.99870 1.92715i
\(885\) −1.89587 + 4.15138i −0.0637290 + 0.139547i
\(886\) 11.1285 + 7.15187i 0.373870 + 0.240272i
\(887\) 27.0291 0.907547 0.453774 0.891117i \(-0.350078\pi\)
0.453774 + 0.891117i \(0.350078\pi\)
\(888\) 27.7180 + 8.13874i 0.930155 + 0.273118i
\(889\) 8.81787 10.1764i 0.295742 0.341304i
\(890\) −10.5436 12.1679i −0.353421 0.407870i
\(891\) 19.8458 + 27.7713i 0.664858 + 0.930374i
\(892\) −14.5186 + 16.7554i −0.486120 + 0.561012i
\(893\) 0.704639 + 4.90087i 0.0235799 + 0.164002i
\(894\) 110.323 32.3939i 3.68977 1.08341i
\(895\) 5.22355 + 11.4380i 0.174604 + 0.382329i
\(896\) 17.6650 + 20.3865i 0.590147 + 0.681066i
\(897\) −3.36357 + 23.3941i −0.112306 + 0.781107i
\(898\) −8.95103 62.2558i −0.298700 2.07750i
\(899\) 1.30872 + 2.86570i 0.0436482 + 0.0955763i
\(900\) 2.65045 5.80367i 0.0883482 0.193456i
\(901\) 17.5096 + 5.14127i 0.583328 + 0.171280i
\(902\) 3.17956 + 64.4843i 0.105868 + 2.14709i
\(903\) −10.4849 + 3.07865i −0.348916 + 0.102451i
\(904\) −3.19753 + 22.2393i −0.106348 + 0.739668i
\(905\) −2.30888 + 5.05574i −0.0767497 + 0.168058i
\(906\) −21.7320 + 6.38109i −0.721997 + 0.211998i
\(907\) 21.9801 6.45394i 0.729838 0.214300i 0.104358 0.994540i \(-0.466721\pi\)
0.625480 + 0.780240i \(0.284903\pi\)
\(908\) −42.9140 + 12.6007i −1.42415 + 0.418169i
\(909\) −40.7601 + 11.9682i −1.35193 + 0.396961i
\(910\) 16.2437 35.5687i 0.538473 1.17909i
\(911\) 4.64505 32.3070i 0.153897 1.07038i −0.755709 0.654908i \(-0.772707\pi\)
0.909606 0.415472i \(-0.136384\pi\)
\(912\) −2.24538 + 0.659303i −0.0743520 + 0.0218317i
\(913\) −9.03882 + 1.75773i −0.299141 + 0.0581724i
\(914\) −7.50772 2.20447i −0.248333 0.0729172i
\(915\) −9.41928 + 20.6254i −0.311392 + 0.681853i
\(916\) −20.2554 44.3532i −0.669258 1.46547i
\(917\) −2.60474 18.1164i −0.0860161 0.598255i
\(918\) −2.39589 + 16.6637i −0.0790760 + 0.549986i
\(919\) −12.6996 14.6562i −0.418923 0.483462i 0.506586 0.862190i \(-0.330907\pi\)
−0.925508 + 0.378727i \(0.876362\pi\)
\(920\) −0.806758 1.76655i −0.0265980 0.0582415i
\(921\) 32.5264 9.55062i 1.07178 0.314704i
\(922\) 8.65140 + 60.1718i 0.284919 + 1.98165i
\(923\) −26.8963 + 31.0399i −0.885301 + 1.02169i
\(924\) 53.1956 + 21.1935i 1.75001 + 0.697213i
\(925\) −6.58639 7.60110i −0.216559 0.249923i
\(926\) −19.9595 + 23.0345i −0.655909 + 0.756959i
\(927\) 31.2764 + 9.18357i 1.02725 + 0.301628i
\(928\) −7.28763 −0.239228
\(929\) −9.27386 5.95995i −0.304266 0.195540i 0.379594 0.925153i \(-0.376064\pi\)
−0.683860 + 0.729613i \(0.739700\pi\)
\(930\) 7.05736 15.4535i 0.231420 0.506739i
\(931\) −0.404339 + 0.259853i −0.0132517 + 0.00851633i
\(932\) −1.84111 1.18321i −0.0603075 0.0387573i
\(933\) 30.6396 + 67.0913i 1.00309 + 2.19647i
\(934\) −4.29104 + 29.8448i −0.140407 + 0.976552i
\(935\) −1.05422 21.3806i −0.0344768 0.699220i
\(936\) 2.76187 + 19.2092i 0.0902746 + 0.627874i
\(937\) −24.8911 + 15.9966i −0.813158 + 0.522585i −0.879885 0.475186i \(-0.842381\pi\)
0.0667274 + 0.997771i \(0.478744\pi\)
\(938\) −45.5042 + 29.2438i −1.48577 + 0.954844i
\(939\) 0.300250 2.08829i 0.00979830 0.0681487i
\(940\) 27.0567 17.3883i 0.882492 0.567143i
\(941\) −0.416817 −0.0135879 −0.00679393 0.999977i \(-0.502163\pi\)
−0.00679393 + 0.999977i \(0.502163\pi\)
\(942\) 12.4983 + 14.4238i 0.407217 + 0.469954i
\(943\) −2.05015 14.2591i −0.0667621 0.464341i
\(944\) −3.22173 3.71807i −0.104858 0.121013i
\(945\) 1.45199 + 3.17941i 0.0472332 + 0.103426i
\(946\) 5.76061 10.0162i 0.187294 0.325655i
\(947\) −13.8233 + 30.2687i −0.449196 + 0.983602i 0.540622 + 0.841265i \(0.318189\pi\)
−0.989818 + 0.142336i \(0.954539\pi\)
\(948\) −80.3260 + 23.5859i −2.60887 + 0.766033i
\(949\) 8.02112 55.7881i 0.260376 1.81096i
\(950\) −0.813049 0.238733i −0.0263788 0.00774551i
\(951\) 0.881536 + 6.13122i 0.0285858 + 0.198818i
\(952\) 9.42883 + 20.6463i 0.305590 + 0.669149i
\(953\) 3.91456 4.51765i 0.126805 0.146341i −0.688797 0.724955i \(-0.741861\pi\)
0.815602 + 0.578614i \(0.196406\pi\)
\(954\) −9.81604 + 11.3283i −0.317806 + 0.366768i
\(955\) 11.6281 + 7.47294i 0.376277 + 0.241819i
\(956\) 7.29572 + 4.68867i 0.235960 + 0.151643i
\(957\) −6.40003 + 3.31297i −0.206884 + 0.107093i
\(958\) 11.6988 7.51837i 0.377971 0.242907i
\(959\) 13.2358 0.427405
\(960\) 17.9999 + 20.7730i 0.580945 + 0.670446i
\(961\) −8.09342 + 17.7221i −0.261078 + 0.571681i
\(962\) 131.671 + 38.6621i 4.24525 + 1.24652i
\(963\) −7.02573 + 8.10813i −0.226401 + 0.261281i
\(964\) −23.4124 15.0462i −0.754063 0.484607i
\(965\) 19.7570 0.636002
\(966\) −21.7855 6.39681i −0.700938 0.205814i
\(967\) −29.2255 −0.939829 −0.469914 0.882712i \(-0.655715\pi\)
−0.469914 + 0.882712i \(0.655715\pi\)
\(968\) −12.5142 + 5.05842i −0.402221 + 0.162584i
\(969\) −5.98601 −0.192298
\(970\) −14.6690 4.30720i −0.470993 0.138296i
\(971\) 28.6745 0.920209 0.460105 0.887865i \(-0.347812\pi\)
0.460105 + 0.887865i \(0.347812\pi\)
\(972\) −44.2369 28.4293i −1.41890 0.911871i
\(973\) −22.7597 + 26.2661i −0.729643 + 0.842052i
\(974\) −82.2455 24.1495i −2.63532 0.773799i
\(975\) 6.20360 13.5840i 0.198674 0.435036i
\(976\) −16.0065 18.4725i −0.512357 0.591291i
\(977\) 0.906445 0.0289997 0.0144999 0.999895i \(-0.495384\pi\)
0.0144999 + 0.999895i \(0.495384\pi\)
\(978\) 51.0908 32.8341i 1.63370 1.04992i
\(979\) 18.0420 17.2606i 0.576626 0.551651i
\(980\) 2.62650 + 1.68795i 0.0839004 + 0.0539195i
\(981\) −15.7977 10.1526i −0.504383 0.324147i
\(982\) 8.69224 10.0314i 0.277380 0.320114i
\(983\) −12.9773 + 14.9766i −0.413911 + 0.477679i −0.923972 0.382459i \(-0.875077\pi\)
0.510061 + 0.860138i \(0.329623\pi\)
\(984\) −10.8605 23.7813i −0.346221 0.758119i
\(985\) −2.22505 15.4756i −0.0708960 0.493093i
\(986\) −12.2947 3.61006i −0.391544 0.114968i
\(987\) 11.9297 82.9730i 0.379727 2.64106i
\(988\) 6.24255 1.83298i 0.198602 0.0583148i
\(989\) −1.07101 + 2.34518i −0.0340560 + 0.0745723i
\(990\) 16.3347 + 6.50783i 0.519150 + 0.206832i
\(991\) −1.90542 4.17228i −0.0605276 0.132537i 0.876951 0.480580i \(-0.159574\pi\)
−0.937479 + 0.348043i \(0.886846\pi\)
\(992\) 17.4470 + 20.1349i 0.553942 + 0.639283i
\(993\) 0.454963 + 3.16434i 0.0144378 + 0.100417i
\(994\) −25.8386 29.8193i −0.819549 0.945811i
\(995\) 12.9338 0.410029
\(996\) 14.0709 9.04279i 0.445852 0.286532i
\(997\) −3.44055 + 23.9295i −0.108963 + 0.757855i 0.859936 + 0.510401i \(0.170503\pi\)
−0.968900 + 0.247454i \(0.920406\pi\)
\(998\) −69.8174 + 44.8689i −2.21003 + 1.42030i
\(999\) −10.3194 + 6.63187i −0.326491 + 0.209823i
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 605.2.k.a.56.20 220
121.67 even 11 inner 605.2.k.a.551.20 yes 220
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
605.2.k.a.56.20 220 1.1 even 1 trivial
605.2.k.a.551.20 yes 220 121.67 even 11 inner