Properties

Label 285.2.k.d.77.3
Level $285$
Weight $2$
Character 285.77
Analytic conductor $2.276$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [285,2,Mod(77,285)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(285, base_ring=CyclotomicField(4))
 
chi = DirichletCharacter(H, H._module([2, 1, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("285.77");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 285 = 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 285.k (of order \(4\), degree \(2\), 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: \(2.27573645761\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(18\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 77.3
Character \(\chi\) \(=\) 285.77
Dual form 285.2.k.d.248.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.53257 + 1.53257i) q^{2} +(1.34142 - 1.09572i) q^{3} -2.69753i q^{4} +(2.05989 + 0.869965i) q^{5} +(-0.376555 + 3.73508i) q^{6} +(1.55058 + 1.55058i) q^{7} +(1.06901 + 1.06901i) q^{8} +(0.598810 - 2.93963i) q^{9} +O(q^{10})\) \(q+(-1.53257 + 1.53257i) q^{2} +(1.34142 - 1.09572i) q^{3} -2.69753i q^{4} +(2.05989 + 0.869965i) q^{5} +(-0.376555 + 3.73508i) q^{6} +(1.55058 + 1.55058i) q^{7} +(1.06901 + 1.06901i) q^{8} +(0.598810 - 2.93963i) q^{9} +(-4.49021 + 1.82365i) q^{10} -2.52140i q^{11} +(-2.95573 - 3.61852i) q^{12} +(-0.427081 + 0.427081i) q^{13} -4.75273 q^{14} +(3.71642 - 1.09007i) q^{15} +2.11839 q^{16} +(1.45764 - 1.45764i) q^{17} +(3.58747 + 5.42290i) q^{18} +1.00000i q^{19} +(2.34676 - 5.55663i) q^{20} +(3.77897 + 0.380980i) q^{21} +(3.86422 + 3.86422i) q^{22} +(3.56822 + 3.56822i) q^{23} +(2.60533 + 0.262659i) q^{24} +(3.48632 + 3.58407i) q^{25} -1.30906i q^{26} +(-2.41775 - 4.59940i) q^{27} +(4.18273 - 4.18273i) q^{28} -6.37067 q^{29} +(-4.02505 + 7.36627i) q^{30} -3.46288 q^{31} +(-5.38460 + 5.38460i) q^{32} +(-2.76274 - 3.38225i) q^{33} +4.46787i q^{34} +(1.84508 + 4.54297i) q^{35} +(-7.92975 - 1.61531i) q^{36} +(6.17292 + 6.17292i) q^{37} +(-1.53257 - 1.53257i) q^{38} +(-0.104935 + 1.04085i) q^{39} +(1.27205 + 3.13206i) q^{40} -4.29278i q^{41} +(-6.37541 + 5.20765i) q^{42} +(-2.42991 + 2.42991i) q^{43} -6.80155 q^{44} +(3.79086 - 5.53438i) q^{45} -10.9371 q^{46} +(-2.49615 + 2.49615i) q^{47} +(2.84164 - 2.32115i) q^{48} -2.19142i q^{49} +(-10.8359 - 0.149808i) q^{50} +(0.358146 - 3.55247i) q^{51} +(1.15206 + 1.15206i) q^{52} +(8.40313 + 8.40313i) q^{53} +(10.7543 + 3.34353i) q^{54} +(2.19353 - 5.19381i) q^{55} +3.31518i q^{56} +(1.09572 + 1.34142i) q^{57} +(9.76349 - 9.76349i) q^{58} -0.181303 q^{59} +(-2.94050 - 10.0251i) q^{60} -14.9722 q^{61} +(5.30710 - 5.30710i) q^{62} +(5.48663 - 3.62963i) q^{63} -12.2678i q^{64} +(-1.25129 + 0.508196i) q^{65} +(9.41762 + 0.949446i) q^{66} +(-6.58649 - 6.58649i) q^{67} +(-3.93204 - 3.93204i) q^{68} +(8.69623 + 0.876719i) q^{69} +(-9.79012 - 4.13471i) q^{70} -14.8059i q^{71} +(3.78265 - 2.50237i) q^{72} +(4.76047 - 4.76047i) q^{73} -18.9208 q^{74} +(8.60374 + 0.987720i) q^{75} +2.69753 q^{76} +(3.90963 - 3.90963i) q^{77} +(-1.43436 - 1.75600i) q^{78} +7.82253i q^{79} +(4.36365 + 1.84292i) q^{80} +(-8.28285 - 3.52056i) q^{81} +(6.57898 + 6.57898i) q^{82} +(-10.7308 - 10.7308i) q^{83} +(1.02771 - 10.1939i) q^{84} +(4.27069 - 1.73449i) q^{85} -7.44800i q^{86} +(-8.54574 + 6.98045i) q^{87} +(2.69541 - 2.69541i) q^{88} +4.99091 q^{89} +(2.67207 + 14.2916i) q^{90} -1.32444 q^{91} +(9.62538 - 9.62538i) q^{92} +(-4.64518 + 3.79434i) q^{93} -7.65103i q^{94} +(-0.869965 + 2.05989i) q^{95} +(-1.32301 + 13.1230i) q^{96} +(-4.73002 - 4.73002i) q^{97} +(3.35849 + 3.35849i) q^{98} +(-7.41198 - 1.50984i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36 q - 2 q^{3} + 4 q^{6} + 4 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 36 q - 2 q^{3} + 4 q^{6} + 4 q^{7} - 4 q^{10} - 18 q^{12} - 8 q^{13} - 8 q^{15} - 84 q^{16} + 8 q^{21} + 40 q^{22} - 20 q^{25} - 14 q^{27} + 36 q^{28} + 28 q^{30} - 28 q^{33} + 92 q^{36} - 4 q^{37} - 20 q^{40} - 100 q^{42} + 16 q^{43} + 28 q^{45} - 24 q^{46} - 58 q^{48} + 32 q^{51} + 148 q^{52} - 72 q^{55} - 2 q^{57} - 12 q^{58} + 58 q^{60} - 112 q^{61} - 64 q^{63} + 92 q^{66} - 8 q^{67} + 8 q^{70} - 88 q^{72} + 76 q^{73} + 80 q^{75} + 36 q^{76} - 36 q^{78} + 4 q^{81} + 20 q^{82} - 28 q^{85} - 4 q^{87} + 140 q^{88} + 76 q^{90} - 24 q^{91} - 48 q^{93} + 32 q^{96} + 32 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/285\mathbb{Z}\right)^\times\).

\(n\) \(172\) \(191\) \(211\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(-1\) \(1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.53257 + 1.53257i −1.08369 + 1.08369i −0.0875274 + 0.996162i \(0.527897\pi\)
−0.996162 + 0.0875274i \(0.972103\pi\)
\(3\) 1.34142 1.09572i 0.774469 0.632612i
\(4\) 2.69753i 1.34877i
\(5\) 2.05989 + 0.869965i 0.921212 + 0.389060i
\(6\) −0.376555 + 3.73508i −0.153728 + 1.52484i
\(7\) 1.55058 + 1.55058i 0.586063 + 0.586063i 0.936563 0.350499i \(-0.113988\pi\)
−0.350499 + 0.936563i \(0.613988\pi\)
\(8\) 1.06901 + 1.06901i 0.377954 + 0.377954i
\(9\) 0.598810 2.93963i 0.199603 0.979877i
\(10\) −4.49021 + 1.82365i −1.41993 + 0.576688i
\(11\) 2.52140i 0.760230i −0.924939 0.380115i \(-0.875884\pi\)
0.924939 0.380115i \(-0.124116\pi\)
\(12\) −2.95573 3.61852i −0.853246 1.04458i
\(13\) −0.427081 + 0.427081i −0.118451 + 0.118451i −0.763848 0.645397i \(-0.776692\pi\)
0.645397 + 0.763848i \(0.276692\pi\)
\(14\) −4.75273 −1.27022
\(15\) 3.71642 1.09007i 0.959574 0.281455i
\(16\) 2.11839 0.529597
\(17\) 1.45764 1.45764i 0.353530 0.353530i −0.507891 0.861421i \(-0.669575\pi\)
0.861421 + 0.507891i \(0.169575\pi\)
\(18\) 3.58747 + 5.42290i 0.845574 + 1.27819i
\(19\) 1.00000i 0.229416i
\(20\) 2.34676 5.55663i 0.524751 1.24250i
\(21\) 3.77897 + 0.380980i 0.824639 + 0.0831367i
\(22\) 3.86422 + 3.86422i 0.823854 + 0.823854i
\(23\) 3.56822 + 3.56822i 0.744025 + 0.744025i 0.973350 0.229325i \(-0.0736518\pi\)
−0.229325 + 0.973350i \(0.573652\pi\)
\(24\) 2.60533 + 0.262659i 0.531812 + 0.0536151i
\(25\) 3.48632 + 3.58407i 0.697264 + 0.716814i
\(26\) 1.30906i 0.256728i
\(27\) −2.41775 4.59940i −0.465296 0.885155i
\(28\) 4.18273 4.18273i 0.790462 0.790462i
\(29\) −6.37067 −1.18300 −0.591502 0.806303i \(-0.701465\pi\)
−0.591502 + 0.806303i \(0.701465\pi\)
\(30\) −4.02505 + 7.36627i −0.734870 + 1.34489i
\(31\) −3.46288 −0.621952 −0.310976 0.950418i \(-0.600656\pi\)
−0.310976 + 0.950418i \(0.600656\pi\)
\(32\) −5.38460 + 5.38460i −0.951872 + 0.951872i
\(33\) −2.76274 3.38225i −0.480931 0.588775i
\(34\) 4.46787i 0.766234i
\(35\) 1.84508 + 4.54297i 0.311875 + 0.767903i
\(36\) −7.92975 1.61531i −1.32162 0.269218i
\(37\) 6.17292 + 6.17292i 1.01482 + 1.01482i 0.999888 + 0.0149328i \(0.00475344\pi\)
0.0149328 + 0.999888i \(0.495247\pi\)
\(38\) −1.53257 1.53257i −0.248615 0.248615i
\(39\) −0.104935 + 1.04085i −0.0168030 + 0.166670i
\(40\) 1.27205 + 3.13206i 0.201129 + 0.495223i
\(41\) 4.29278i 0.670420i −0.942144 0.335210i \(-0.891193\pi\)
0.942144 0.335210i \(-0.108807\pi\)
\(42\) −6.37541 + 5.20765i −0.983747 + 0.803558i
\(43\) −2.42991 + 2.42991i −0.370557 + 0.370557i −0.867680 0.497123i \(-0.834390\pi\)
0.497123 + 0.867680i \(0.334390\pi\)
\(44\) −6.80155 −1.02537
\(45\) 3.79086 5.53438i 0.565108 0.825017i
\(46\) −10.9371 −1.61258
\(47\) −2.49615 + 2.49615i −0.364101 + 0.364101i −0.865320 0.501220i \(-0.832885\pi\)
0.501220 + 0.865320i \(0.332885\pi\)
\(48\) 2.84164 2.32115i 0.410156 0.335029i
\(49\) 2.19142i 0.313059i
\(50\) −10.8359 0.149808i −1.53242 0.0211861i
\(51\) 0.358146 3.55247i 0.0501504 0.497446i
\(52\) 1.15206 + 1.15206i 0.159763 + 0.159763i
\(53\) 8.40313 + 8.40313i 1.15426 + 1.15426i 0.985690 + 0.168568i \(0.0539144\pi\)
0.168568 + 0.985690i \(0.446086\pi\)
\(54\) 10.7543 + 3.34353i 1.46347 + 0.454997i
\(55\) 2.19353 5.19381i 0.295775 0.700334i
\(56\) 3.31518i 0.443010i
\(57\) 1.09572 + 1.34142i 0.145131 + 0.177675i
\(58\) 9.76349 9.76349i 1.28201 1.28201i
\(59\) −0.181303 −0.0236036 −0.0118018 0.999930i \(-0.503757\pi\)
−0.0118018 + 0.999930i \(0.503757\pi\)
\(60\) −2.94050 10.0251i −0.379617 1.29424i
\(61\) −14.9722 −1.91699 −0.958497 0.285102i \(-0.907973\pi\)
−0.958497 + 0.285102i \(0.907973\pi\)
\(62\) 5.30710 5.30710i 0.674003 0.674003i
\(63\) 5.48663 3.62963i 0.691250 0.457290i
\(64\) 12.2678i 1.53347i
\(65\) −1.25129 + 0.508196i −0.155203 + 0.0630339i
\(66\) 9.41762 + 0.949446i 1.15923 + 0.116869i
\(67\) −6.58649 6.58649i −0.804668 0.804668i 0.179153 0.983821i \(-0.442664\pi\)
−0.983821 + 0.179153i \(0.942664\pi\)
\(68\) −3.93204 3.93204i −0.476829 0.476829i
\(69\) 8.69623 + 0.876719i 1.04690 + 0.105545i
\(70\) −9.79012 4.13471i −1.17014 0.494193i
\(71\) 14.8059i 1.75713i −0.477618 0.878567i \(-0.658500\pi\)
0.477618 0.878567i \(-0.341500\pi\)
\(72\) 3.78265 2.50237i 0.445789 0.294907i
\(73\) 4.76047 4.76047i 0.557171 0.557171i −0.371330 0.928501i \(-0.621098\pi\)
0.928501 + 0.371330i \(0.121098\pi\)
\(74\) −18.9208 −2.19950
\(75\) 8.60374 + 0.987720i 0.993475 + 0.114052i
\(76\) 2.69753 0.309428
\(77\) 3.90963 3.90963i 0.445543 0.445543i
\(78\) −1.43436 1.75600i −0.162409 0.198828i
\(79\) 7.82253i 0.880104i 0.897972 + 0.440052i \(0.145040\pi\)
−0.897972 + 0.440052i \(0.854960\pi\)
\(80\) 4.36365 + 1.84292i 0.487871 + 0.206045i
\(81\) −8.28285 3.52056i −0.920317 0.391173i
\(82\) 6.57898 + 6.57898i 0.726527 + 0.726527i
\(83\) −10.7308 10.7308i −1.17786 1.17786i −0.980288 0.197574i \(-0.936694\pi\)
−0.197574 0.980288i \(-0.563306\pi\)
\(84\) 1.02771 10.1939i 0.112132 1.11224i
\(85\) 4.27069 1.73449i 0.463221 0.188132i
\(86\) 7.44800i 0.803138i
\(87\) −8.54574 + 6.98045i −0.916200 + 0.748383i
\(88\) 2.69541 2.69541i 0.287332 0.287332i
\(89\) 4.99091 0.529036 0.264518 0.964381i \(-0.414787\pi\)
0.264518 + 0.964381i \(0.414787\pi\)
\(90\) 2.67207 + 14.2916i 0.281661 + 1.50646i
\(91\) −1.32444 −0.138840
\(92\) 9.62538 9.62538i 1.00352 1.00352i
\(93\) −4.64518 + 3.79434i −0.481682 + 0.393455i
\(94\) 7.65103i 0.789144i
\(95\) −0.869965 + 2.05989i −0.0892565 + 0.211341i
\(96\) −1.32301 + 13.1230i −0.135029 + 1.33936i
\(97\) −4.73002 4.73002i −0.480261 0.480261i 0.424954 0.905215i \(-0.360290\pi\)
−0.905215 + 0.424954i \(0.860290\pi\)
\(98\) 3.35849 + 3.35849i 0.339259 + 0.339259i
\(99\) −7.41198 1.50984i −0.744932 0.151744i
\(100\) 9.66815 9.40446i 0.966815 0.940446i
\(101\) 4.04795i 0.402786i 0.979511 + 0.201393i \(0.0645468\pi\)
−0.979511 + 0.201393i \(0.935453\pi\)
\(102\) 4.89552 + 5.99329i 0.484729 + 0.593424i
\(103\) −13.3360 + 13.3360i −1.31403 + 1.31403i −0.395615 + 0.918416i \(0.629469\pi\)
−0.918416 + 0.395615i \(0.870531\pi\)
\(104\) −0.913112 −0.0895380
\(105\) 7.45283 + 4.07235i 0.727322 + 0.397421i
\(106\) −25.7567 −2.50172
\(107\) −9.30736 + 9.30736i −0.899777 + 0.899777i −0.995416 0.0956395i \(-0.969510\pi\)
0.0956395 + 0.995416i \(0.469510\pi\)
\(108\) −12.4070 + 6.52195i −1.19387 + 0.627575i
\(109\) 6.00071i 0.574764i −0.957816 0.287382i \(-0.907215\pi\)
0.957816 0.287382i \(-0.0927849\pi\)
\(110\) 4.59814 + 11.3216i 0.438415 + 1.07947i
\(111\) 15.0442 + 1.51670i 1.42794 + 0.143959i
\(112\) 3.28472 + 3.28472i 0.310377 + 0.310377i
\(113\) −7.86148 7.86148i −0.739546 0.739546i 0.232944 0.972490i \(-0.425164\pi\)
−0.972490 + 0.232944i \(0.925164\pi\)
\(114\) −3.73508 0.376555i −0.349822 0.0352676i
\(115\) 4.24592 + 10.4544i 0.395934 + 0.974876i
\(116\) 17.1851i 1.59560i
\(117\) 0.999720 + 1.51120i 0.0924242 + 0.139711i
\(118\) 0.277859 0.277859i 0.0255790 0.0255790i
\(119\) 4.52038 0.414382
\(120\) 5.13821 + 2.80760i 0.469052 + 0.256298i
\(121\) 4.64255 0.422050
\(122\) 22.9459 22.9459i 2.07743 2.07743i
\(123\) −4.70367 5.75842i −0.424116 0.519219i
\(124\) 9.34124i 0.838868i
\(125\) 4.06343 + 10.4158i 0.363444 + 0.931616i
\(126\) −2.84598 + 13.9713i −0.253540 + 1.24466i
\(127\) −13.6790 13.6790i −1.21382 1.21382i −0.969760 0.244059i \(-0.921521\pi\)
−0.244059 0.969760i \(-0.578479\pi\)
\(128\) 8.03199 + 8.03199i 0.709934 + 0.709934i
\(129\) −0.597033 + 5.92201i −0.0525659 + 0.521404i
\(130\) 1.13884 2.69653i 0.0998827 0.236501i
\(131\) 5.03850i 0.440216i 0.975476 + 0.220108i \(0.0706409\pi\)
−0.975476 + 0.220108i \(0.929359\pi\)
\(132\) −9.12373 + 7.45258i −0.794119 + 0.648664i
\(133\) −1.55058 + 1.55058i −0.134452 + 0.134452i
\(134\) 20.1885 1.74402
\(135\) −0.978984 11.5776i −0.0842575 0.996444i
\(136\) 3.11648 0.267236
\(137\) 0.0659931 0.0659931i 0.00563817 0.00563817i −0.704282 0.709920i \(-0.748731\pi\)
0.709920 + 0.704282i \(0.248731\pi\)
\(138\) −14.6712 + 11.9839i −1.24890 + 1.02014i
\(139\) 1.34859i 0.114386i 0.998363 + 0.0571929i \(0.0182150\pi\)
−0.998363 + 0.0571929i \(0.981785\pi\)
\(140\) 12.2548 4.97715i 1.03572 0.420646i
\(141\) −0.613309 + 6.08345i −0.0516499 + 0.512319i
\(142\) 22.6910 + 22.6910i 1.90419 + 1.90419i
\(143\) 1.07684 + 1.07684i 0.0900500 + 0.0900500i
\(144\) 1.26851 6.22727i 0.105709 0.518939i
\(145\) −13.1229 5.54226i −1.08980 0.460260i
\(146\) 14.5915i 1.20760i
\(147\) −2.40117 2.93961i −0.198045 0.242455i
\(148\) 16.6516 16.6516i 1.36876 1.36876i
\(149\) 14.6008 1.19614 0.598071 0.801443i \(-0.295934\pi\)
0.598071 + 0.801443i \(0.295934\pi\)
\(150\) −14.6996 + 11.6721i −1.20022 + 0.953021i
\(151\) −12.2407 −0.996134 −0.498067 0.867139i \(-0.665957\pi\)
−0.498067 + 0.867139i \(0.665957\pi\)
\(152\) −1.06901 + 1.06901i −0.0867086 + 0.0867086i
\(153\) −3.41208 5.15778i −0.275850 0.416982i
\(154\) 11.9835i 0.965661i
\(155\) −7.13317 3.01259i −0.572950 0.241977i
\(156\) 2.80774 + 0.283065i 0.224799 + 0.0226633i
\(157\) 1.50721 + 1.50721i 0.120288 + 0.120288i 0.764689 0.644400i \(-0.222893\pi\)
−0.644400 + 0.764689i \(0.722893\pi\)
\(158\) −11.9886 11.9886i −0.953759 0.953759i
\(159\) 20.4796 + 2.06467i 1.62414 + 0.163739i
\(160\) −15.7761 + 6.40729i −1.24721 + 0.506541i
\(161\) 11.0656i 0.872092i
\(162\) 18.0895 7.29855i 1.42125 0.573428i
\(163\) 15.9076 15.9076i 1.24598 1.24598i 0.288502 0.957479i \(-0.406843\pi\)
0.957479 0.288502i \(-0.0931573\pi\)
\(164\) −11.5799 −0.904239
\(165\) −2.74851 9.37057i −0.213971 0.729498i
\(166\) 32.8915 2.55287
\(167\) 1.39951 1.39951i 0.108297 0.108297i −0.650882 0.759179i \(-0.725601\pi\)
0.759179 + 0.650882i \(0.225601\pi\)
\(168\) 3.63250 + 4.44705i 0.280254 + 0.343097i
\(169\) 12.6352i 0.971939i
\(170\) −3.88689 + 9.20334i −0.298111 + 0.705864i
\(171\) 2.93963 + 0.598810i 0.224799 + 0.0457921i
\(172\) 6.55475 + 6.55475i 0.499795 + 0.499795i
\(173\) 11.8738 + 11.8738i 0.902750 + 0.902750i 0.995673 0.0929232i \(-0.0296211\pi\)
−0.0929232 + 0.995673i \(0.529621\pi\)
\(174\) 2.39891 23.7950i 0.181861 1.80389i
\(175\) −0.151569 + 10.9632i −0.0114575 + 0.828740i
\(176\) 5.34130i 0.402615i
\(177\) −0.243203 + 0.198656i −0.0182802 + 0.0149319i
\(178\) −7.64891 + 7.64891i −0.573310 + 0.573310i
\(179\) −4.83322 −0.361252 −0.180626 0.983552i \(-0.557812\pi\)
−0.180626 + 0.983552i \(0.557812\pi\)
\(180\) −14.9292 10.2260i −1.11275 0.762198i
\(181\) −1.91151 −0.142081 −0.0710407 0.997473i \(-0.522632\pi\)
−0.0710407 + 0.997473i \(0.522632\pi\)
\(182\) 2.02980 2.02980i 0.150459 0.150459i
\(183\) −20.0840 + 16.4053i −1.48465 + 1.21271i
\(184\) 7.62896i 0.562414i
\(185\) 7.34533 + 18.0858i 0.540039 + 1.32969i
\(186\) 1.30397 12.9341i 0.0956115 0.948377i
\(187\) −3.67530 3.67530i −0.268764 0.268764i
\(188\) 6.73344 + 6.73344i 0.491086 + 0.491086i
\(189\) 3.38282 10.8806i 0.246064 0.791450i
\(190\) −1.82365 4.49021i −0.132301 0.325754i
\(191\) 6.93020i 0.501451i 0.968058 + 0.250726i \(0.0806692\pi\)
−0.968058 + 0.250726i \(0.919331\pi\)
\(192\) −13.4420 16.4562i −0.970093 1.18763i
\(193\) −0.681839 + 0.681839i −0.0490799 + 0.0490799i −0.731221 0.682141i \(-0.761049\pi\)
0.682141 + 0.731221i \(0.261049\pi\)
\(194\) 14.4982 1.04091
\(195\) −1.12166 + 2.05276i −0.0803238 + 0.147001i
\(196\) −5.91141 −0.422244
\(197\) −12.7752 + 12.7752i −0.910194 + 0.910194i −0.996287 0.0860930i \(-0.972562\pi\)
0.0860930 + 0.996287i \(0.472562\pi\)
\(198\) 13.6733 9.04544i 0.971719 0.642831i
\(199\) 11.5337i 0.817605i 0.912623 + 0.408803i \(0.134054\pi\)
−0.912623 + 0.408803i \(0.865946\pi\)
\(200\) −0.104496 + 7.55836i −0.00738899 + 0.534456i
\(201\) −16.0522 1.61832i −1.13223 0.114147i
\(202\) −6.20375 6.20375i −0.436495 0.436495i
\(203\) −9.87823 9.87823i −0.693316 0.693316i
\(204\) −9.58290 0.966110i −0.670938 0.0676412i
\(205\) 3.73457 8.84267i 0.260834 0.617599i
\(206\) 40.8765i 2.84800i
\(207\) 12.6259 8.35256i 0.877563 0.580543i
\(208\) −0.904722 + 0.904722i −0.0627312 + 0.0627312i
\(209\) 2.52140 0.174409
\(210\) −17.6631 + 5.18082i −1.21887 + 0.357511i
\(211\) 19.5145 1.34344 0.671718 0.740807i \(-0.265557\pi\)
0.671718 + 0.740807i \(0.265557\pi\)
\(212\) 22.6677 22.6677i 1.55682 1.55682i
\(213\) −16.2231 19.8609i −1.11159 1.36085i
\(214\) 28.5283i 1.95016i
\(215\) −7.11928 + 2.89141i −0.485531 + 0.197193i
\(216\) 2.33222 7.50144i 0.158688 0.510408i
\(217\) −5.36947 5.36947i −0.364503 0.364503i
\(218\) 9.19650 + 9.19650i 0.622866 + 0.622866i
\(219\) 1.16966 11.6019i 0.0790382 0.783985i
\(220\) −14.0105 5.91712i −0.944586 0.398932i
\(221\) 1.24506i 0.0837520i
\(222\) −25.3808 + 20.7319i −1.70345 + 1.39143i
\(223\) 14.3578 14.3578i 0.961469 0.961469i −0.0378157 0.999285i \(-0.512040\pi\)
0.999285 + 0.0378157i \(0.0120400\pi\)
\(224\) −16.6985 −1.11571
\(225\) 12.6235 8.10232i 0.841566 0.540155i
\(226\) 24.0965 1.60288
\(227\) −12.1657 + 12.1657i −0.807467 + 0.807467i −0.984250 0.176783i \(-0.943431\pi\)
0.176783 + 0.984250i \(0.443431\pi\)
\(228\) 3.61852 2.95573i 0.239642 0.195748i
\(229\) 19.4200i 1.28331i −0.766994 0.641654i \(-0.778249\pi\)
0.766994 0.641654i \(-0.221751\pi\)
\(230\) −22.5292 9.51488i −1.48553 0.627392i
\(231\) 0.960604 9.52829i 0.0632031 0.626915i
\(232\) −6.81035 6.81035i −0.447121 0.447121i
\(233\) 10.2202 + 10.2202i 0.669550 + 0.669550i 0.957612 0.288061i \(-0.0930108\pi\)
−0.288061 + 0.957612i \(0.593011\pi\)
\(234\) −3.84816 0.783879i −0.251562 0.0512437i
\(235\) −7.31336 + 2.97024i −0.477071 + 0.193757i
\(236\) 0.489070i 0.0318357i
\(237\) 8.57128 + 10.4933i 0.556764 + 0.681613i
\(238\) −6.92779 + 6.92779i −0.449062 + 0.449062i
\(239\) −8.47069 −0.547923 −0.273962 0.961741i \(-0.588334\pi\)
−0.273962 + 0.961741i \(0.588334\pi\)
\(240\) 7.87280 2.30919i 0.508187 0.149058i
\(241\) 12.4151 0.799730 0.399865 0.916574i \(-0.369057\pi\)
0.399865 + 0.916574i \(0.369057\pi\)
\(242\) −7.11502 + 7.11502i −0.457371 + 0.457371i
\(243\) −14.9683 + 4.35312i −0.960218 + 0.279253i
\(244\) 40.3880i 2.58558i
\(245\) 1.90645 4.51408i 0.121799 0.288394i
\(246\) 16.0339 + 1.61647i 1.02228 + 0.103062i
\(247\) −0.427081 0.427081i −0.0271745 0.0271745i
\(248\) −3.70187 3.70187i −0.235069 0.235069i
\(249\) −26.1525 2.63659i −1.65735 0.167087i
\(250\) −22.1904 9.73541i −1.40344 0.615721i
\(251\) 10.4623i 0.660375i −0.943915 0.330188i \(-0.892888\pi\)
0.943915 0.330188i \(-0.107112\pi\)
\(252\) −9.79103 14.8004i −0.616777 0.932335i
\(253\) 8.99690 8.99690i 0.565631 0.565631i
\(254\) 41.9282 2.63081
\(255\) 3.82827 7.00614i 0.239735 0.438741i
\(256\) −0.0836122 −0.00522576
\(257\) −11.1616 + 11.1616i −0.696240 + 0.696240i −0.963597 0.267357i \(-0.913850\pi\)
0.267357 + 0.963597i \(0.413850\pi\)
\(258\) −8.16089 9.99088i −0.508075 0.622005i
\(259\) 19.1432i 1.18950i
\(260\) 1.37087 + 3.37539i 0.0850180 + 0.209333i
\(261\) −3.81482 + 18.7274i −0.236131 + 1.15920i
\(262\) −7.72185 7.72185i −0.477057 0.477057i
\(263\) −11.6219 11.6219i −0.716634 0.716634i 0.251280 0.967914i \(-0.419148\pi\)
−0.967914 + 0.251280i \(0.919148\pi\)
\(264\) 0.662269 6.56909i 0.0407598 0.404299i
\(265\) 9.99912 + 24.6200i 0.614241 + 1.51239i
\(266\) 4.75273i 0.291409i
\(267\) 6.69490 5.46863i 0.409722 0.334675i
\(268\) −17.7673 + 17.7673i −1.08531 + 1.08531i
\(269\) 24.2656 1.47950 0.739750 0.672882i \(-0.234944\pi\)
0.739750 + 0.672882i \(0.234944\pi\)
\(270\) 19.2439 + 16.2432i 1.17114 + 0.988527i
\(271\) 11.9046 0.723153 0.361576 0.932343i \(-0.382239\pi\)
0.361576 + 0.932343i \(0.382239\pi\)
\(272\) 3.08785 3.08785i 0.187228 0.187228i
\(273\) −1.77664 + 1.45122i −0.107527 + 0.0878316i
\(274\) 0.202278i 0.0122201i
\(275\) 9.03687 8.79041i 0.544944 0.530082i
\(276\) 2.36498 23.4584i 0.142355 1.41203i
\(277\) 16.2773 + 16.2773i 0.978006 + 0.978006i 0.999763 0.0217571i \(-0.00692603\pi\)
−0.0217571 + 0.999763i \(0.506926\pi\)
\(278\) −2.06680 2.06680i −0.123959 0.123959i
\(279\) −2.07361 + 10.1796i −0.124144 + 0.609436i
\(280\) −2.88409 + 6.82892i −0.172358 + 0.408106i
\(281\) 19.1583i 1.14289i −0.820640 0.571445i \(-0.806383\pi\)
0.820640 0.571445i \(-0.193617\pi\)
\(282\) −8.38336 10.2632i −0.499222 0.611167i
\(283\) 4.29088 4.29088i 0.255066 0.255066i −0.567978 0.823044i \(-0.692274\pi\)
0.823044 + 0.567978i \(0.192274\pi\)
\(284\) −39.9393 −2.36996
\(285\) 1.09007 + 3.71642i 0.0645703 + 0.220141i
\(286\) −3.30067 −0.195173
\(287\) 6.65629 6.65629i 0.392908 0.392908i
\(288\) 12.6044 + 19.0531i 0.742721 + 1.12271i
\(289\) 12.7506i 0.750033i
\(290\) 28.6057 11.6179i 1.67978 0.682224i
\(291\) −11.5277 1.16218i −0.675766 0.0681279i
\(292\) −12.8415 12.8415i −0.751494 0.751494i
\(293\) 21.5298 + 21.5298i 1.25778 + 1.25778i 0.952149 + 0.305635i \(0.0988688\pi\)
0.305635 + 0.952149i \(0.401131\pi\)
\(294\) 8.18510 + 0.825189i 0.477365 + 0.0481260i
\(295\) −0.373464 0.157727i −0.0217439 0.00918322i
\(296\) 13.1979i 0.767111i
\(297\) −11.5969 + 6.09611i −0.672922 + 0.353732i
\(298\) −22.3767 + 22.3767i −1.29625 + 1.29625i
\(299\) −3.04784 −0.176261
\(300\) 2.66441 23.2089i 0.153830 1.33996i
\(301\) −7.53552 −0.434340
\(302\) 18.7597 18.7597i 1.07950 1.07950i
\(303\) 4.43540 + 5.42999i 0.254807 + 0.311945i
\(304\) 2.11839i 0.121498i
\(305\) −30.8411 13.0253i −1.76596 0.745826i
\(306\) 13.1339 + 2.67540i 0.750815 + 0.152943i
\(307\) 5.71458 + 5.71458i 0.326148 + 0.326148i 0.851120 0.524972i \(-0.175924\pi\)
−0.524972 + 0.851120i \(0.675924\pi\)
\(308\) −10.5463 10.5463i −0.600934 0.600934i
\(309\) −3.27667 + 32.5016i −0.186404 + 1.84895i
\(310\) 15.5491 6.31507i 0.883128 0.358672i
\(311\) 24.1874i 1.37154i −0.727816 0.685772i \(-0.759465\pi\)
0.727816 0.685772i \(-0.240535\pi\)
\(312\) −1.22487 + 1.00051i −0.0693444 + 0.0566428i
\(313\) −8.17006 + 8.17006i −0.461799 + 0.461799i −0.899245 0.437446i \(-0.855883\pi\)
0.437446 + 0.899245i \(0.355883\pi\)
\(314\) −4.61981 −0.260711
\(315\) 14.4595 2.70347i 0.814701 0.152323i
\(316\) 21.1015 1.18705
\(317\) −11.7569 + 11.7569i −0.660333 + 0.660333i −0.955459 0.295125i \(-0.904639\pi\)
0.295125 + 0.955459i \(0.404639\pi\)
\(318\) −34.5506 + 28.2221i −1.93750 + 1.58262i
\(319\) 16.0630i 0.899356i
\(320\) 10.6725 25.2703i 0.596613 1.41265i
\(321\) −2.28684 + 22.6833i −0.127639 + 1.26606i
\(322\) −16.9588 16.9588i −0.945077 0.945077i
\(323\) 1.45764 + 1.45764i 0.0811054 + 0.0811054i
\(324\) −9.49682 + 22.3433i −0.527601 + 1.24129i
\(325\) −3.01963 0.0417471i −0.167499 0.00231571i
\(326\) 48.7591i 2.70051i
\(327\) −6.57508 8.04947i −0.363603 0.445137i
\(328\) 4.58905 4.58905i 0.253388 0.253388i
\(329\) −7.74094 −0.426772
\(330\) 18.5733 + 10.1488i 1.02243 + 0.558671i
\(331\) 5.37127 0.295232 0.147616 0.989045i \(-0.452840\pi\)
0.147616 + 0.989045i \(0.452840\pi\)
\(332\) −28.9468 + 28.9468i −1.58866 + 1.58866i
\(333\) 21.8425 14.4497i 1.19696 0.791838i
\(334\) 4.28968i 0.234721i
\(335\) −7.83745 19.2975i −0.428206 1.05433i
\(336\) 8.00532 + 0.807064i 0.436726 + 0.0440289i
\(337\) 1.76820 + 1.76820i 0.0963201 + 0.0963201i 0.753625 0.657305i \(-0.228304\pi\)
−0.657305 + 0.753625i \(0.728304\pi\)
\(338\) −19.3643 19.3643i −1.05328 1.05328i
\(339\) −19.1595 1.93158i −1.04060 0.104909i
\(340\) −4.67884 11.5203i −0.253746 0.624776i
\(341\) 8.73131i 0.472827i
\(342\) −5.42290 + 3.58747i −0.293237 + 0.193988i
\(343\) 14.2520 14.2520i 0.769536 0.769536i
\(344\) −5.19521 −0.280107
\(345\) 17.1506 + 9.37137i 0.923357 + 0.504537i
\(346\) −36.3949 −1.95660
\(347\) −7.57252 + 7.57252i −0.406514 + 0.406514i −0.880521 0.474007i \(-0.842807\pi\)
0.474007 + 0.880521i \(0.342807\pi\)
\(348\) 18.8300 + 23.0524i 1.00939 + 1.23574i
\(349\) 11.9882i 0.641712i 0.947128 + 0.320856i \(0.103971\pi\)
−0.947128 + 0.320856i \(0.896029\pi\)
\(350\) −16.5696 17.0341i −0.885680 0.910513i
\(351\) 2.99689 + 0.931743i 0.159962 + 0.0497328i
\(352\) 13.5767 + 13.5767i 0.723642 + 0.723642i
\(353\) 8.65388 + 8.65388i 0.460599 + 0.460599i 0.898852 0.438253i \(-0.144402\pi\)
−0.438253 + 0.898852i \(0.644402\pi\)
\(354\) 0.0682705 0.677179i 0.00362853 0.0359917i
\(355\) 12.8806 30.4985i 0.683631 1.61869i
\(356\) 13.4631i 0.713545i
\(357\) 6.06372 4.95305i 0.320926 0.262143i
\(358\) 7.40724 7.40724i 0.391485 0.391485i
\(359\) −7.44151 −0.392748 −0.196374 0.980529i \(-0.562917\pi\)
−0.196374 + 0.980529i \(0.562917\pi\)
\(360\) 9.96882 1.86385i 0.525403 0.0982336i
\(361\) −1.00000 −0.0526316
\(362\) 2.92952 2.92952i 0.153972 0.153972i
\(363\) 6.22760 5.08692i 0.326864 0.266994i
\(364\) 3.57273i 0.187262i
\(365\) 13.9475 5.66462i 0.730046 0.296500i
\(366\) 5.63786 55.9223i 0.294696 2.92311i
\(367\) −18.9349 18.9349i −0.988395 0.988395i 0.0115387 0.999933i \(-0.496327\pi\)
−0.999933 + 0.0115387i \(0.996327\pi\)
\(368\) 7.55887 + 7.55887i 0.394033 + 0.394033i
\(369\) −12.6192 2.57056i −0.656929 0.133818i
\(370\) −38.9749 16.4605i −2.02621 0.855739i
\(371\) 26.0594i 1.35294i
\(372\) 10.2353 + 12.5305i 0.530678 + 0.649677i
\(373\) 23.4958 23.4958i 1.21657 1.21657i 0.247743 0.968826i \(-0.420311\pi\)
0.968826 0.247743i \(-0.0796888\pi\)
\(374\) 11.2653 0.582514
\(375\) 16.8635 + 9.51956i 0.870828 + 0.491588i
\(376\) −5.33684 −0.275226
\(377\) 2.72079 2.72079i 0.140128 0.140128i
\(378\) 11.4909 + 21.8597i 0.591029 + 1.12434i
\(379\) 11.9710i 0.614908i 0.951563 + 0.307454i \(0.0994770\pi\)
−0.951563 + 0.307454i \(0.900523\pi\)
\(380\) 5.55663 + 2.34676i 0.285049 + 0.120386i
\(381\) −33.3377 3.36097i −1.70794 0.172188i
\(382\) −10.6210 10.6210i −0.543418 0.543418i
\(383\) −5.19022 5.19022i −0.265208 0.265208i 0.561958 0.827166i \(-0.310048\pi\)
−0.827166 + 0.561958i \(0.810048\pi\)
\(384\) 19.5751 + 1.97348i 0.998935 + 0.100709i
\(385\) 11.4547 4.65217i 0.583783 0.237097i
\(386\) 2.08993i 0.106375i
\(387\) 5.68798 + 8.59808i 0.289136 + 0.437065i
\(388\) −12.7594 + 12.7594i −0.647759 + 0.647759i
\(389\) −16.4104 −0.832043 −0.416021 0.909355i \(-0.636576\pi\)
−0.416021 + 0.909355i \(0.636576\pi\)
\(390\) −1.42697 4.86502i −0.0722575 0.246350i
\(391\) 10.4024 0.526071
\(392\) 2.34266 2.34266i 0.118322 0.118322i
\(393\) 5.52077 + 6.75874i 0.278486 + 0.340933i
\(394\) 39.1577i 1.97274i
\(395\) −6.80533 + 16.1136i −0.342413 + 0.810762i
\(396\) −4.07284 + 19.9941i −0.204668 + 1.00474i
\(397\) −11.4842 11.4842i −0.576377 0.576377i 0.357526 0.933903i \(-0.383620\pi\)
−0.933903 + 0.357526i \(0.883620\pi\)
\(398\) −17.6763 17.6763i −0.886030 0.886030i
\(399\) −0.380980 + 3.77897i −0.0190729 + 0.189185i
\(400\) 7.38537 + 7.59245i 0.369269 + 0.379622i
\(401\) 0.552147i 0.0275729i 0.999905 + 0.0137864i \(0.00438850\pi\)
−0.999905 + 0.0137864i \(0.995611\pi\)
\(402\) 27.0812 22.1209i 1.35069 1.10329i
\(403\) 1.47893 1.47893i 0.0736708 0.0736708i
\(404\) 10.9195 0.543263
\(405\) −13.9990 14.4578i −0.695618 0.718412i
\(406\) 30.2781 1.50268
\(407\) 15.5644 15.5644i 0.771498 0.771498i
\(408\) 4.18051 3.41478i 0.206966 0.169057i
\(409\) 16.8640i 0.833869i −0.908936 0.416935i \(-0.863104\pi\)
0.908936 0.416935i \(-0.136896\pi\)
\(410\) 7.82851 + 19.2755i 0.386623 + 0.951948i
\(411\) 0.0162147 0.160834i 0.000799810 0.00793337i
\(412\) 35.9742 + 35.9742i 1.77232 + 1.77232i
\(413\) −0.281124 0.281124i −0.0138332 0.0138332i
\(414\) −6.54923 + 32.1510i −0.321877 + 1.58013i
\(415\) −12.7689 31.4398i −0.626802 1.54332i
\(416\) 4.59932i 0.225500i
\(417\) 1.47767 + 1.80902i 0.0723619 + 0.0885882i
\(418\) −3.86422 + 3.86422i −0.189005 + 0.189005i
\(419\) 2.43587 0.119000 0.0595000 0.998228i \(-0.481049\pi\)
0.0595000 + 0.998228i \(0.481049\pi\)
\(420\) 10.9853 20.1043i 0.536028 0.980987i
\(421\) −11.4536 −0.558214 −0.279107 0.960260i \(-0.590038\pi\)
−0.279107 + 0.960260i \(0.590038\pi\)
\(422\) −29.9074 + 29.9074i −1.45587 + 1.45587i
\(423\) 5.84303 + 8.83247i 0.284098 + 0.429449i
\(424\) 17.9661i 0.872513i
\(425\) 10.3061 + 0.142484i 0.499919 + 0.00691150i
\(426\) 55.3011 + 5.57523i 2.67935 + 0.270121i
\(427\) −23.2156 23.2156i −1.12348 1.12348i
\(428\) 25.1069 + 25.1069i 1.21359 + 1.21359i
\(429\) 2.62441 + 0.264582i 0.126708 + 0.0127742i
\(430\) 6.47950 15.3421i 0.312469 0.739861i
\(431\) 32.9618i 1.58772i −0.608103 0.793858i \(-0.708069\pi\)
0.608103 0.793858i \(-0.291931\pi\)
\(432\) −5.12172 9.74331i −0.246419 0.468775i
\(433\) −3.05820 + 3.05820i −0.146968 + 0.146968i −0.776762 0.629794i \(-0.783139\pi\)
0.629794 + 0.776762i \(0.283139\pi\)
\(434\) 16.4582 0.790017
\(435\) −23.6761 + 6.94449i −1.13518 + 0.332963i
\(436\) −16.1871 −0.775222
\(437\) −3.56822 + 3.56822i −0.170691 + 0.170691i
\(438\) 15.9882 + 19.5733i 0.763943 + 0.935249i
\(439\) 0.993275i 0.0474064i 0.999719 + 0.0237032i \(0.00754568\pi\)
−0.999719 + 0.0237032i \(0.992454\pi\)
\(440\) 7.89718 3.20735i 0.376483 0.152904i
\(441\) −6.44195 1.31224i −0.306760 0.0624876i
\(442\) −1.90814 1.90814i −0.0907611 0.0907611i
\(443\) 10.7338 + 10.7338i 0.509980 + 0.509980i 0.914520 0.404540i \(-0.132568\pi\)
−0.404540 + 0.914520i \(0.632568\pi\)
\(444\) 4.09134 40.5823i 0.194167 1.92595i
\(445\) 10.2807 + 4.34192i 0.487354 + 0.205827i
\(446\) 44.0086i 2.08387i
\(447\) 19.5857 15.9983i 0.926374 0.756694i
\(448\) 19.0221 19.0221i 0.898711 0.898711i
\(449\) 2.24464 0.105931 0.0529656 0.998596i \(-0.483133\pi\)
0.0529656 + 0.998596i \(0.483133\pi\)
\(450\) −6.92900 + 31.7637i −0.326636 + 1.49736i
\(451\) −10.8238 −0.509673
\(452\) −21.2066 + 21.2066i −0.997475 + 0.997475i
\(453\) −16.4199 + 13.4123i −0.771474 + 0.630167i
\(454\) 37.2896i 1.75009i
\(455\) −2.72822 1.15222i −0.127901 0.0540169i
\(456\) −0.262659 + 2.60533i −0.0123001 + 0.122006i
\(457\) 17.3375 + 17.3375i 0.811016 + 0.811016i 0.984786 0.173770i \(-0.0555949\pi\)
−0.173770 + 0.984786i \(0.555595\pi\)
\(458\) 29.7624 + 29.7624i 1.39071 + 1.39071i
\(459\) −10.2285 3.18007i −0.477425 0.148433i
\(460\) 28.2010 11.4535i 1.31488 0.534023i
\(461\) 10.9020i 0.507758i 0.967236 + 0.253879i \(0.0817064\pi\)
−0.967236 + 0.253879i \(0.918294\pi\)
\(462\) 13.1306 + 16.0749i 0.610889 + 0.747874i
\(463\) −25.7646 + 25.7646i −1.19738 + 1.19738i −0.222434 + 0.974948i \(0.571400\pi\)
−0.974948 + 0.222434i \(0.928600\pi\)
\(464\) −13.4955 −0.626515
\(465\) −12.8695 + 3.77479i −0.596809 + 0.175052i
\(466\) −31.3264 −1.45117
\(467\) −16.8093 + 16.8093i −0.777840 + 0.777840i −0.979463 0.201623i \(-0.935378\pi\)
0.201623 + 0.979463i \(0.435378\pi\)
\(468\) 4.07651 2.69678i 0.188437 0.124659i
\(469\) 20.4257i 0.943173i
\(470\) 6.65613 15.7603i 0.307024 0.726969i
\(471\) 3.67328 + 0.370325i 0.169256 + 0.0170637i
\(472\) −0.193815 0.193815i −0.00892107 0.00892107i
\(473\) 6.12676 + 6.12676i 0.281709 + 0.281709i
\(474\) −29.2178 2.94562i −1.34202 0.135297i
\(475\) −3.58407 + 3.48632i −0.164448 + 0.159963i
\(476\) 12.1939i 0.558905i
\(477\) 29.7340 19.6702i 1.36142 0.900637i
\(478\) 12.9819 12.9819i 0.593779 0.593779i
\(479\) 1.64892 0.0753411 0.0376705 0.999290i \(-0.488006\pi\)
0.0376705 + 0.999290i \(0.488006\pi\)
\(480\) −14.1418 + 25.8810i −0.645483 + 1.18130i
\(481\) −5.27267 −0.240413
\(482\) −19.0271 + 19.0271i −0.866659 + 0.866659i
\(483\) 12.1248 + 14.8436i 0.551696 + 0.675408i
\(484\) 12.5234i 0.569246i
\(485\) −5.62838 13.8583i −0.255572 0.629272i
\(486\) 16.2685 29.6114i 0.737954 1.34320i
\(487\) 12.7342 + 12.7342i 0.577042 + 0.577042i 0.934087 0.357045i \(-0.116216\pi\)
−0.357045 + 0.934087i \(0.616216\pi\)
\(488\) −16.0055 16.0055i −0.724536 0.724536i
\(489\) 3.90854 38.7690i 0.176750 1.75320i
\(490\) 3.99637 + 9.83991i 0.180537 + 0.444522i
\(491\) 5.82676i 0.262958i 0.991319 + 0.131479i \(0.0419726\pi\)
−0.991319 + 0.131479i \(0.958027\pi\)
\(492\) −15.5335 + 12.6883i −0.700305 + 0.572033i
\(493\) −9.28616 + 9.28616i −0.418228 + 0.418228i
\(494\) 1.30906 0.0588975
\(495\) −13.9544 9.55827i −0.627203 0.429612i
\(496\) −7.33572 −0.329384
\(497\) 22.9577 22.9577i 1.02979 1.02979i
\(498\) 44.1212 36.0397i 1.97712 1.61498i
\(499\) 10.1282i 0.453402i 0.973964 + 0.226701i \(0.0727940\pi\)
−0.973964 + 0.226701i \(0.927206\pi\)
\(500\) 28.0969 10.9612i 1.25653 0.490201i
\(501\) 0.343862 3.41079i 0.0153626 0.152383i
\(502\) 16.0342 + 16.0342i 0.715642 + 0.715642i
\(503\) −28.2167 28.2167i −1.25812 1.25812i −0.951988 0.306134i \(-0.900964\pi\)
−0.306134 0.951988i \(-0.599036\pi\)
\(504\) 9.74541 + 1.98516i 0.434095 + 0.0884262i
\(505\) −3.52157 + 8.33834i −0.156708 + 0.371051i
\(506\) 27.5767i 1.22594i
\(507\) 13.8446 + 16.9491i 0.614860 + 0.752736i
\(508\) −36.8997 + 36.8997i −1.63716 + 1.63716i
\(509\) 24.8752 1.10257 0.551287 0.834316i \(-0.314137\pi\)
0.551287 + 0.834316i \(0.314137\pi\)
\(510\) 4.87030 + 16.6045i 0.215661 + 0.735258i
\(511\) 14.7630 0.653075
\(512\) −15.9358 + 15.9358i −0.704271 + 0.704271i
\(513\) 4.59940 2.41775i 0.203069 0.106746i
\(514\) 34.2118i 1.50902i
\(515\) −39.0725 + 15.8688i −1.72174 + 0.699265i
\(516\) 15.9748 + 1.61052i 0.703252 + 0.0708990i
\(517\) 6.29378 + 6.29378i 0.276800 + 0.276800i
\(518\) −29.3382 29.3382i −1.28905 1.28905i
\(519\) 28.9381 + 2.91742i 1.27024 + 0.128061i
\(520\) −1.88091 0.794376i −0.0824835 0.0348357i
\(521\) 7.87895i 0.345183i 0.984993 + 0.172592i \(0.0552141\pi\)
−0.984993 + 0.172592i \(0.944786\pi\)
\(522\) −22.8546 34.5475i −1.00032 1.51210i
\(523\) −0.420649 + 0.420649i −0.0183937 + 0.0183937i −0.716244 0.697850i \(-0.754140\pi\)
0.697850 + 0.716244i \(0.254140\pi\)
\(524\) 13.5915 0.593748
\(525\) 11.8092 + 14.8723i 0.515397 + 0.649081i
\(526\) 35.6226 1.55322
\(527\) −5.04764 + 5.04764i −0.219879 + 0.219879i
\(528\) −5.85255 7.16492i −0.254700 0.311813i
\(529\) 2.46437i 0.107147i
\(530\) −53.0561 22.4075i −2.30461 0.973318i
\(531\) −0.108566 + 0.532963i −0.00471135 + 0.0231286i
\(532\) 4.18273 + 4.18273i 0.181344 + 0.181344i
\(533\) 1.83336 + 1.83336i 0.0794118 + 0.0794118i
\(534\) −1.87935 + 18.6414i −0.0813276 + 0.806694i
\(535\) −27.2692 + 11.0751i −1.17895 + 0.478818i
\(536\) 14.0821i 0.608255i
\(537\) −6.48337 + 5.29584i −0.279778 + 0.228532i
\(538\) −37.1887 + 37.1887i −1.60332 + 1.60332i
\(539\) −5.52543 −0.237997
\(540\) −31.2310 + 2.64084i −1.34397 + 0.113644i
\(541\) −34.9116 −1.50097 −0.750483 0.660890i \(-0.770179\pi\)
−0.750483 + 0.660890i \(0.770179\pi\)
\(542\) −18.2446 + 18.2446i −0.783673 + 0.783673i
\(543\) −2.56413 + 2.09447i −0.110038 + 0.0898824i
\(544\) 15.6976i 0.673031i
\(545\) 5.22041 12.3608i 0.223618 0.529480i
\(546\) 0.498727 4.94690i 0.0213435 0.211708i
\(547\) −2.26481 2.26481i −0.0968361 0.0968361i 0.657029 0.753865i \(-0.271813\pi\)
−0.753865 + 0.657029i \(0.771813\pi\)
\(548\) −0.178019 0.178019i −0.00760458 0.00760458i
\(549\) −8.96550 + 44.0128i −0.382638 + 1.87842i
\(550\) −0.377727 + 27.3215i −0.0161063 + 1.16499i
\(551\) 6.37067i 0.271400i
\(552\) 8.35918 + 10.2336i 0.355790 + 0.435572i
\(553\) −12.1294 + 12.1294i −0.515797 + 0.515797i
\(554\) −49.8921 −2.11971
\(555\) 29.6700 + 16.2122i 1.25942 + 0.688170i
\(556\) 3.63786 0.154280
\(557\) 20.6806 20.6806i 0.876264 0.876264i −0.116882 0.993146i \(-0.537290\pi\)
0.993146 + 0.116882i \(0.0372898\pi\)
\(558\) −12.4230 18.7789i −0.525907 0.794973i
\(559\) 2.07553i 0.0877857i
\(560\) 3.90858 + 9.62377i 0.165168 + 0.406679i
\(561\) −8.95720 0.903029i −0.378173 0.0381259i
\(562\) 29.3614 + 29.3614i 1.23854 + 1.23854i
\(563\) 8.15718 + 8.15718i 0.343784 + 0.343784i 0.857788 0.514004i \(-0.171838\pi\)
−0.514004 + 0.857788i \(0.671838\pi\)
\(564\) 16.4103 + 1.65442i 0.690998 + 0.0696636i
\(565\) −9.35460 23.0330i −0.393551 0.969007i
\(566\) 13.1521i 0.552825i
\(567\) −7.38431 18.3021i −0.310112 0.768616i
\(568\) 15.8277 15.8277i 0.664116 0.664116i
\(569\) 29.2097 1.22453 0.612266 0.790652i \(-0.290258\pi\)
0.612266 + 0.790652i \(0.290258\pi\)
\(570\) −7.36627 4.02505i −0.308539 0.168591i
\(571\) −5.05326 −0.211472 −0.105736 0.994394i \(-0.533720\pi\)
−0.105736 + 0.994394i \(0.533720\pi\)
\(572\) 2.90481 2.90481i 0.121456 0.121456i
\(573\) 7.59353 + 9.29630i 0.317224 + 0.388358i
\(574\) 20.4024i 0.851581i
\(575\) −0.348793 + 25.2287i −0.0145457 + 1.05211i
\(576\) −36.0627 7.34606i −1.50261 0.306086i
\(577\) −15.7866 15.7866i −0.657204 0.657204i 0.297513 0.954718i \(-0.403843\pi\)
−0.954718 + 0.297513i \(0.903843\pi\)
\(578\) −19.5411 19.5411i −0.812803 0.812803i
\(579\) −0.167529 + 1.66173i −0.00696228 + 0.0690593i
\(580\) −14.9504 + 35.3995i −0.620783 + 1.46988i
\(581\) 33.2780i 1.38060i
\(582\) 19.4481 15.8859i 0.806150 0.658490i
\(583\) 21.1876 21.1876i 0.877502 0.877502i
\(584\) 10.1780 0.421170
\(585\) 0.744625 + 3.98263i 0.0307865 + 0.164662i
\(586\) −65.9918 −2.72609
\(587\) 17.8025 17.8025i 0.734787 0.734787i −0.236777 0.971564i \(-0.576091\pi\)
0.971564 + 0.236777i \(0.0760912\pi\)
\(588\) −7.92968 + 6.47723i −0.327014 + 0.267117i
\(589\) 3.46288i 0.142686i
\(590\) 0.814087 0.330632i 0.0335154 0.0136119i
\(591\) −3.13889 + 31.1349i −0.129117 + 1.28072i
\(592\) 13.0766 + 13.0766i 0.537446 + 0.537446i
\(593\) −2.19999 2.19999i −0.0903426 0.0903426i 0.660491 0.750834i \(-0.270348\pi\)
−0.750834 + 0.660491i \(0.770348\pi\)
\(594\) 8.43038 27.1158i 0.345903 1.11257i
\(595\) 9.31149 + 3.93257i 0.381734 + 0.161220i
\(596\) 39.3860i 1.61331i
\(597\) 12.6377 + 15.4716i 0.517227 + 0.633210i
\(598\) 4.67102 4.67102i 0.191012 0.191012i
\(599\) 33.5964 1.37271 0.686355 0.727266i \(-0.259209\pi\)
0.686355 + 0.727266i \(0.259209\pi\)
\(600\) 8.14164 + 10.2534i 0.332381 + 0.418594i
\(601\) 34.5782 1.41047 0.705237 0.708972i \(-0.250841\pi\)
0.705237 + 0.708972i \(0.250841\pi\)
\(602\) 11.5487 11.5487i 0.470690 0.470690i
\(603\) −23.3059 + 15.4178i −0.949090 + 0.627861i
\(604\) 33.0197i 1.34355i
\(605\) 9.56315 + 4.03885i 0.388797 + 0.164203i
\(606\) −15.1194 1.52428i −0.614183 0.0619195i
\(607\) 7.57208 + 7.57208i 0.307341 + 0.307341i 0.843877 0.536536i \(-0.180267\pi\)
−0.536536 + 0.843877i \(0.680267\pi\)
\(608\) −5.38460 5.38460i −0.218374 0.218374i
\(609\) −24.0746 2.42710i −0.975551 0.0983511i
\(610\) 67.2283 27.3040i 2.72200 1.10551i
\(611\) 2.13211i 0.0862561i
\(612\) −13.9133 + 9.20419i −0.562411 + 0.372057i
\(613\) 7.50258 7.50258i 0.303026 0.303026i −0.539170 0.842197i \(-0.681262\pi\)
0.842197 + 0.539170i \(0.181262\pi\)
\(614\) −17.5160 −0.706887
\(615\) −4.67944 15.9538i −0.188693 0.643317i
\(616\) 8.35890 0.336790
\(617\) 20.5696 20.5696i 0.828103 0.828103i −0.159152 0.987254i \(-0.550876\pi\)
0.987254 + 0.159152i \(0.0508758\pi\)
\(618\) −44.7891 54.8326i −1.80168 2.20569i
\(619\) 4.28381i 0.172181i 0.996287 + 0.0860905i \(0.0274374\pi\)
−0.996287 + 0.0860905i \(0.972563\pi\)
\(620\) −8.12655 + 19.2420i −0.326370 + 0.772775i
\(621\) 7.78462 25.0387i 0.312386 1.00477i
\(622\) 37.0689 + 37.0689i 1.48633 + 1.48633i
\(623\) 7.73880 + 7.73880i 0.310048 + 0.310048i
\(624\) −0.222292 + 2.20493i −0.00889881 + 0.0882679i
\(625\) −0.691130 + 24.9904i −0.0276452 + 0.999618i
\(626\) 25.0423i 1.00089i
\(627\) 3.38225 2.76274i 0.135074 0.110333i
\(628\) 4.06575 4.06575i 0.162241 0.162241i
\(629\) 17.9958 0.717540
\(630\) −18.0169 + 26.3034i −0.717812 + 1.04795i
\(631\) 25.8652 1.02968 0.514839 0.857287i \(-0.327852\pi\)
0.514839 + 0.857287i \(0.327852\pi\)
\(632\) −8.36240 + 8.36240i −0.332639 + 0.332639i
\(633\) 26.1772 21.3824i 1.04045 0.849874i
\(634\) 36.0365i 1.43119i
\(635\) −16.2771 40.0777i −0.645936 1.59043i
\(636\) 5.56950 55.2443i 0.220845 2.19058i
\(637\) 0.935912 + 0.935912i 0.0370822 + 0.0370822i
\(638\) −24.6177 24.6177i −0.974623 0.974623i
\(639\) −43.5238 8.86590i −1.72178 0.350730i
\(640\) 9.55749 + 23.5326i 0.377793 + 0.930207i
\(641\) 12.3040i 0.485981i 0.970029 + 0.242990i \(0.0781283\pi\)
−0.970029 + 0.242990i \(0.921872\pi\)
\(642\) −31.2590 38.2684i −1.23369 1.51034i
\(643\) −7.72519 + 7.72519i −0.304652 + 0.304652i −0.842831 0.538179i \(-0.819112\pi\)
0.538179 + 0.842831i \(0.319112\pi\)
\(644\) 29.8498 1.17625
\(645\) −6.38177 + 11.6793i −0.251282 + 0.459873i
\(646\) −4.46787 −0.175786
\(647\) 23.7301 23.7301i 0.932927 0.932927i −0.0649608 0.997888i \(-0.520692\pi\)
0.997888 + 0.0649608i \(0.0206922\pi\)
\(648\) −5.09097 12.6180i −0.199992 0.495683i
\(649\) 0.457136i 0.0179442i
\(650\) 4.69177 4.56381i 0.184026 0.179007i
\(651\) −13.0861 1.31929i −0.512886 0.0517071i
\(652\) −42.9113 42.9113i −1.68054 1.68054i
\(653\) −22.7926 22.7926i −0.891944 0.891944i 0.102762 0.994706i \(-0.467232\pi\)
−0.994706 + 0.102762i \(0.967232\pi\)
\(654\) 22.4131 + 2.25960i 0.876422 + 0.0883574i
\(655\) −4.38332 + 10.3788i −0.171270 + 0.405532i
\(656\) 9.09377i 0.355052i
\(657\) −11.1434 16.8446i −0.434746 0.657172i
\(658\) 11.8635 11.8635i 0.462488 0.462488i
\(659\) −31.4968 −1.22694 −0.613470 0.789718i \(-0.710227\pi\)
−0.613470 + 0.789718i \(0.710227\pi\)
\(660\) −25.2774 + 7.41418i −0.983921 + 0.288597i
\(661\) −5.04347 −0.196168 −0.0980842 0.995178i \(-0.531271\pi\)
−0.0980842 + 0.995178i \(0.531271\pi\)
\(662\) −8.23183 + 8.23183i −0.319939 + 0.319939i
\(663\) 1.36424 + 1.67015i 0.0529825 + 0.0648633i
\(664\) 22.9428i 0.890355i
\(665\) −4.54297 + 1.84508i −0.176169 + 0.0715490i
\(666\) −11.3300 + 55.6203i −0.439028 + 2.15524i
\(667\) −22.7320 22.7320i −0.880185 0.880185i
\(668\) −3.77522 3.77522i −0.146067 0.146067i
\(669\) 3.52774 34.9919i 0.136390 1.35286i
\(670\) 41.5861 + 17.5633i 1.60661 + 0.678529i
\(671\) 37.7509i 1.45736i
\(672\) −22.3997 + 18.2968i −0.864086 + 0.705815i
\(673\) 7.79536 7.79536i 0.300489 0.300489i −0.540716 0.841205i \(-0.681847\pi\)
0.841205 + 0.540716i \(0.181847\pi\)
\(674\) −5.41978 −0.208762
\(675\) 8.05554 24.7004i 0.310058 0.950718i
\(676\) 34.0839 1.31092
\(677\) 20.8940 20.8940i 0.803020 0.803020i −0.180546 0.983566i \(-0.557787\pi\)
0.983566 + 0.180546i \(0.0577866\pi\)
\(678\) 32.3235 26.4030i 1.24138 1.01400i
\(679\) 14.6685i 0.562926i
\(680\) 6.41962 + 2.71123i 0.246181 + 0.103971i
\(681\) −2.98914 + 29.6495i −0.114544 + 1.13617i
\(682\) −13.3813 13.3813i −0.512398 0.512398i
\(683\) 20.9518 + 20.9518i 0.801698 + 0.801698i 0.983361 0.181663i \(-0.0581480\pi\)
−0.181663 + 0.983361i \(0.558148\pi\)
\(684\) 1.61531 7.92975i 0.0617628 0.303201i
\(685\) 0.193351 0.0785271i 0.00738754 0.00300037i
\(686\) 43.6844i 1.66788i
\(687\) −21.2788 26.0503i −0.811836 0.993881i
\(688\) −5.14748 + 5.14748i −0.196246 + 0.196246i
\(689\) −7.17763 −0.273446
\(690\) −40.6467 + 11.9222i −1.54739 + 0.453870i
\(691\) 27.3570 1.04071 0.520354 0.853950i \(-0.325800\pi\)
0.520354 + 0.853950i \(0.325800\pi\)
\(692\) 32.0300 32.0300i 1.21760 1.21760i
\(693\) −9.15174 13.8340i −0.347646 0.525509i
\(694\) 23.2108i 0.881071i
\(695\) −1.17323 + 2.77795i −0.0445030 + 0.105374i
\(696\) −16.5977 1.67332i −0.629136 0.0634269i
\(697\) −6.25734 6.25734i −0.237014 0.237014i
\(698\) −18.3727 18.3727i −0.695417 0.695417i
\(699\) 24.9081 + 2.51114i 0.942112 + 0.0949799i
\(700\) 29.5736 + 0.408862i 1.11778 + 0.0154535i
\(701\) 37.3153i 1.40938i 0.709515 + 0.704690i \(0.248914\pi\)
−0.709515 + 0.704690i \(0.751086\pi\)
\(702\) −6.02090 + 3.16498i −0.227244 + 0.119455i
\(703\) −6.17292 + 6.17292i −0.232816 + 0.232816i
\(704\) −30.9319 −1.16579
\(705\) −6.55574 + 11.9977i −0.246903 + 0.451860i
\(706\) −26.5253 −0.998293
\(707\) −6.27666 + 6.27666i −0.236058 + 0.236058i
\(708\) 0.535882 + 0.656047i 0.0201397 + 0.0246558i
\(709\) 5.79368i 0.217586i −0.994064 0.108793i \(-0.965301\pi\)
0.994064 0.108793i \(-0.0346986\pi\)
\(710\) 27.0007 + 66.4815i 1.01332 + 2.49501i
\(711\) 22.9954 + 4.68421i 0.862393 + 0.175671i
\(712\) 5.33536 + 5.33536i 0.199951 + 0.199951i
\(713\) −12.3563 12.3563i −0.462748 0.462748i
\(714\) −1.70217 + 16.8840i −0.0637022 + 0.631866i
\(715\) 1.28136 + 3.15499i 0.0479203 + 0.117990i
\(716\) 13.0378i 0.487244i
\(717\) −11.3627 + 9.28148i −0.424349 + 0.346623i
\(718\) 11.4046 11.4046i 0.425617 0.425617i
\(719\) 16.7937 0.626298 0.313149 0.949704i \(-0.398616\pi\)
0.313149 + 0.949704i \(0.398616\pi\)
\(720\) 8.03051 11.7240i 0.299279 0.436926i
\(721\) −41.3569 −1.54021
\(722\) 1.53257 1.53257i 0.0570363 0.0570363i
\(723\) 16.6539 13.6035i 0.619366 0.505919i
\(724\) 5.15636i 0.191634i
\(725\) −22.2102 22.8329i −0.824867 0.847994i
\(726\) −1.74818 + 17.3403i −0.0648809 + 0.643558i
\(727\) 0.162766 + 0.162766i 0.00603665 + 0.00603665i 0.710119 0.704082i \(-0.248641\pi\)
−0.704082 + 0.710119i \(0.748641\pi\)
\(728\) −1.41585 1.41585i −0.0524749 0.0524749i
\(729\) −15.3090 + 22.2404i −0.567000 + 0.823718i
\(730\) −12.6941 + 30.0569i −0.469830 + 1.11246i
\(731\) 7.08387i 0.262006i
\(732\) 44.2538 + 54.1772i 1.63567 + 2.00245i
\(733\) 1.14668 1.14668i 0.0423534 0.0423534i −0.685613 0.727966i \(-0.740466\pi\)
0.727966 + 0.685613i \(0.240466\pi\)
\(734\) 58.0381 2.14223
\(735\) −2.38880 8.14421i −0.0881122 0.300404i
\(736\) −38.4269 −1.41643
\(737\) −16.6072 + 16.6072i −0.611733 + 0.611733i
\(738\) 23.2793 15.4002i 0.856924 0.566890i
\(739\) 25.1897i 0.926618i 0.886197 + 0.463309i \(0.153338\pi\)
−0.886197 + 0.463309i \(0.846662\pi\)
\(740\) 48.7869 19.8143i 1.79344 0.728386i
\(741\) −1.04085 0.104935i −0.0382367 0.00385487i
\(742\) −39.9378 39.9378i −1.46616 1.46616i
\(743\) 16.5219 + 16.5219i 0.606130 + 0.606130i 0.941933 0.335802i \(-0.109007\pi\)
−0.335802 + 0.941933i \(0.609007\pi\)
\(744\) −9.02197 0.909558i −0.330761 0.0333460i
\(745\) 30.0760 + 12.7022i 1.10190 + 0.465371i
\(746\) 72.0180i 2.63677i
\(747\) −37.9704 + 25.1190i −1.38926 + 0.919055i
\(748\) −9.91423 + 9.91423i −0.362500 + 0.362500i
\(749\) −28.8636 −1.05465
\(750\) −40.4339 + 11.2551i −1.47644 + 0.410979i
\(751\) 42.5119 1.55128 0.775641 0.631175i \(-0.217427\pi\)
0.775641 + 0.631175i \(0.217427\pi\)
\(752\) −5.28780 + 5.28780i −0.192826 + 0.192826i
\(753\) −11.4637 14.0343i −0.417762 0.511440i
\(754\) 8.33960i 0.303710i
\(755\) −25.2145 10.6490i −0.917651 0.387556i
\(756\) −29.3509 9.12528i −1.06748 0.331883i
\(757\) −9.29020 9.29020i −0.337658 0.337658i 0.517827 0.855485i \(-0.326741\pi\)
−0.855485 + 0.517827i \(0.826741\pi\)
\(758\) −18.3464 18.3464i −0.666370 0.666370i
\(759\) 2.21056 21.9267i 0.0802382 0.795888i
\(760\) −3.13206 + 1.27205i −0.113612 + 0.0461421i
\(761\) 38.0927i 1.38086i −0.723399 0.690430i \(-0.757421\pi\)
0.723399 0.690430i \(-0.242579\pi\)
\(762\) 56.2432 45.9414i 2.03748 1.66428i
\(763\) 9.30457 9.30457i 0.336848 0.336848i
\(764\) 18.6944 0.676341
\(765\) −2.54143 13.5929i −0.0918856 0.491451i
\(766\) 15.9087 0.574806
\(767\) 0.0774309 0.0774309i 0.00279587 0.00279587i
\(768\) −0.112159 + 0.0916153i −0.00404719 + 0.00330588i
\(769\) 2.65507i 0.0957443i −0.998853 0.0478722i \(-0.984756\pi\)
0.998853 0.0478722i \(-0.0152440\pi\)
\(770\) −10.4253 + 24.6848i −0.375700 + 0.889579i
\(771\) −2.74242 + 27.2023i −0.0987660 + 0.979666i
\(772\)