Properties

Label 354.2.e.c.7.1
Level 354
Weight 2
Character 354.7
Analytic conductor 2.827
Analytic rank 0
Dimension 84
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 354.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.82670423155\)
Analytic rank: \(0\)
Dimension: \(84\)
Relative dimension: \(3\) over \(\Q(\zeta_{29})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 7.1
Character \(\chi\) = 354.7
Dual form 354.2.e.c.253.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.561187 - 0.827689i) q^{2} +(-0.0541389 + 0.998533i) q^{3} +(-0.370138 + 0.928977i) q^{4} +(-3.82834 + 1.77118i) q^{5} +(0.856857 - 0.515554i) q^{6} +(1.02375 - 3.68721i) q^{7} +(0.976621 - 0.214970i) q^{8} +(-0.994138 - 0.108119i) q^{9} +O(q^{10})\) \(q+(-0.561187 - 0.827689i) q^{2} +(-0.0541389 + 0.998533i) q^{3} +(-0.370138 + 0.928977i) q^{4} +(-3.82834 + 1.77118i) q^{5} +(0.856857 - 0.515554i) q^{6} +(1.02375 - 3.68721i) q^{7} +(0.976621 - 0.214970i) q^{8} +(-0.994138 - 0.108119i) q^{9} +(3.61440 + 2.17471i) q^{10} +(2.28614 - 2.16554i) q^{11} +(-0.907575 - 0.419889i) q^{12} +(0.157798 - 0.0171616i) q^{13} +(-3.62637 + 1.22187i) q^{14} +(-1.56132 - 3.91861i) q^{15} +(-0.725995 - 0.687699i) q^{16} +(-0.852814 - 3.07156i) q^{17} +(0.468408 + 0.883512i) q^{18} +(3.68227 - 2.79919i) q^{19} +(-0.228369 - 4.21202i) q^{20} +(3.62637 + 1.22187i) q^{21} +(-3.07535 - 0.676935i) q^{22} +(3.18679 - 6.01092i) q^{23} +(0.161782 + 0.986827i) q^{24} +(8.28217 - 9.75052i) q^{25} +(-0.102759 - 0.120977i) q^{26} +(0.161782 - 0.986827i) q^{27} +(3.04640 + 2.31581i) q^{28} +(-5.70871 + 8.41972i) q^{29} +(-2.36720 + 3.49136i) q^{30} +(-6.82976 - 5.19185i) q^{31} +(-0.161782 + 0.986827i) q^{32} +(2.03860 + 2.40002i) q^{33} +(-2.06371 + 2.42958i) q^{34} +(2.61145 + 15.9291i) q^{35} +(0.468408 - 0.883512i) q^{36} +(0.961469 + 0.211635i) q^{37} +(-4.38330 - 1.47691i) q^{38} +(0.00859341 + 0.158496i) q^{39} +(-3.35808 + 2.55275i) q^{40} +(-1.41169 - 2.66272i) q^{41} +(-1.02375 - 3.68721i) q^{42} +(2.87079 + 2.71935i) q^{43} +(1.16555 + 2.92532i) q^{44} +(3.99739 - 1.34688i) q^{45} +(-6.76355 + 0.735581i) q^{46} +(-3.78931 - 1.75312i) q^{47} +(0.725995 - 0.687699i) q^{48} +(-6.54943 - 3.94066i) q^{49} +(-12.7182 - 1.38319i) q^{50} +(3.11322 - 0.685272i) q^{51} +(-0.0424645 + 0.152943i) q^{52} +(2.12195 - 1.27674i) q^{53} +(-0.907575 + 0.419889i) q^{54} +(-4.91654 + 12.3396i) q^{55} +(0.207173 - 3.82108i) q^{56} +(2.59573 + 3.82841i) q^{57} +10.1726 q^{58} +(-6.17017 - 4.57483i) q^{59} +4.21820 q^{60} +(-5.03490 - 7.42592i) q^{61} +(-0.464463 + 8.56652i) q^{62} +(-1.41640 + 3.55490i) q^{63} +(0.907575 - 0.419889i) q^{64} +(-0.573710 + 0.345190i) q^{65} +(0.842438 - 3.03419i) q^{66} +(-0.504961 + 0.111150i) q^{67} +(3.16906 + 0.344656i) q^{68} +(5.82957 + 3.50754i) q^{69} +(11.7188 - 11.1007i) q^{70} +(9.39506 + 4.34662i) q^{71} +(-0.994138 + 0.108119i) q^{72} +(-2.34980 + 0.791740i) q^{73} +(-0.364396 - 0.914564i) q^{74} +(9.28784 + 8.79791i) q^{75} +(1.23743 + 4.45683i) q^{76} +(-5.64438 - 10.6464i) q^{77} +(0.126363 - 0.0960587i) q^{78} +(0.855561 + 15.7799i) q^{79} +(3.99739 + 1.34688i) q^{80} +(0.976621 + 0.214970i) q^{81} +(-1.41169 + 2.66272i) q^{82} +(-0.0796732 - 0.485985i) q^{83} +(-2.47735 + 2.91656i) q^{84} +(8.70513 + 10.2485i) q^{85} +(0.639731 - 3.90219i) q^{86} +(-8.09831 - 6.15617i) q^{87} +(1.76716 - 2.60637i) q^{88} +(5.18600 - 7.64878i) q^{89} +(-3.35808 - 2.55275i) q^{90} +(0.0982674 - 0.599405i) q^{91} +(4.40445 + 5.18532i) q^{92} +(5.55399 - 6.53867i) q^{93} +(0.675472 + 4.12019i) q^{94} +(-9.13911 + 17.2382i) q^{95} +(-0.976621 - 0.214970i) q^{96} +(4.86638 + 1.63968i) q^{97} +(0.413813 + 7.63234i) q^{98} +(-2.50687 + 1.90567i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 84q - 3q^{2} + 3q^{3} - 3q^{4} + 3q^{6} + q^{7} - 3q^{8} - 3q^{9} + O(q^{10}) \) \( 84q - 3q^{2} + 3q^{3} - 3q^{4} + 3q^{6} + q^{7} - 3q^{8} - 3q^{9} - 26q^{11} + 3q^{12} - 3q^{13} + q^{14} - 3q^{16} + 3q^{17} - 3q^{18} + 4q^{19} - q^{21} + 3q^{22} - 2q^{23} + 3q^{24} + 41q^{25} + 26q^{26} + 3q^{27} + q^{28} - 2q^{29} + 8q^{31} - 3q^{32} - 3q^{33} - 26q^{34} + 83q^{35} - 3q^{36} - 53q^{37} + 4q^{38} + 3q^{39} - 7q^{41} - q^{42} + 119q^{43} + 3q^{44} - 31q^{46} - 12q^{47} + 3q^{48} - 38q^{49} - 133q^{50} - 3q^{51} - 32q^{52} - 83q^{53} + 3q^{54} - 83q^{55} + q^{56} - 4q^{57} + 56q^{58} - 57q^{59} - 48q^{61} - 21q^{62} + q^{63} - 3q^{64} - 33q^{65} - 3q^{66} - 88q^{67} - 26q^{68} + 89q^{69} - 62q^{70} - 35q^{71} - 3q^{72} - 71q^{73} - 24q^{74} + 17q^{75} + 33q^{76} + 113q^{77} + 3q^{78} - 5q^{79} - 3q^{81} - 7q^{82} - 51q^{83} - q^{84} + 125q^{85} + 61q^{86} + 31q^{87} + 32q^{88} - 58q^{89} + 173q^{91} - 2q^{92} + 21q^{93} + 17q^{94} + 26q^{95} + 3q^{96} + 20q^{98} + 3q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{9}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.561187 0.827689i −0.396819 0.585265i
\(3\) −0.0541389 + 0.998533i −0.0312571 + 0.576504i
\(4\) −0.370138 + 0.928977i −0.185069 + 0.464488i
\(5\) −3.82834 + 1.77118i −1.71208 + 0.792095i −0.716567 + 0.697518i \(0.754288\pi\)
−0.995518 + 0.0945768i \(0.969850\pi\)
\(6\) 0.856857 0.515554i 0.349810 0.210474i
\(7\) 1.02375 3.68721i 0.386940 1.39363i −0.472019 0.881589i \(-0.656475\pi\)
0.858959 0.512044i \(-0.171112\pi\)
\(8\) 0.976621 0.214970i 0.345288 0.0760035i
\(9\) −0.994138 0.108119i −0.331379 0.0360397i
\(10\) 3.61440 + 2.17471i 1.14297 + 0.687704i
\(11\) 2.28614 2.16554i 0.689296 0.652936i −0.260620 0.965441i \(-0.583927\pi\)
0.949916 + 0.312506i \(0.101168\pi\)
\(12\) −0.907575 0.419889i −0.261994 0.121212i
\(13\) 0.157798 0.0171616i 0.0437654 0.00475978i −0.0862101 0.996277i \(-0.527476\pi\)
0.129976 + 0.991517i \(0.458510\pi\)
\(14\) −3.62637 + 1.22187i −0.969189 + 0.326558i
\(15\) −1.56132 3.91861i −0.403131 1.01178i
\(16\) −0.725995 0.687699i −0.181499 0.171925i
\(17\) −0.852814 3.07156i −0.206838 0.744962i −0.992062 0.125750i \(-0.959866\pi\)
0.785224 0.619212i \(-0.212548\pi\)
\(18\) 0.468408 + 0.883512i 0.110405 + 0.208246i
\(19\) 3.68227 2.79919i 0.844771 0.642178i −0.0905842 0.995889i \(-0.528873\pi\)
0.935355 + 0.353711i \(0.115080\pi\)
\(20\) −0.228369 4.21202i −0.0510649 0.941836i
\(21\) 3.62637 + 1.22187i 0.791340 + 0.266633i
\(22\) −3.07535 0.676935i −0.655666 0.144323i
\(23\) 3.18679 6.01092i 0.664491 1.25336i −0.290542 0.956862i \(-0.593836\pi\)
0.955033 0.296500i \(-0.0958196\pi\)
\(24\) 0.161782 + 0.986827i 0.0330236 + 0.201435i
\(25\) 8.28217 9.75052i 1.65643 1.95010i
\(26\) −0.102759 0.120977i −0.0201527 0.0237256i
\(27\) 0.161782 0.986827i 0.0311350 0.189915i
\(28\) 3.04640 + 2.31581i 0.575716 + 0.437648i
\(29\) −5.70871 + 8.41972i −1.06008 + 1.56350i −0.258133 + 0.966109i \(0.583107\pi\)
−0.801948 + 0.597394i \(0.796203\pi\)
\(30\) −2.36720 + 3.49136i −0.432190 + 0.637432i
\(31\) −6.82976 5.19185i −1.22666 0.932484i −0.227514 0.973775i \(-0.573060\pi\)
−0.999147 + 0.0412908i \(0.986853\pi\)
\(32\) −0.161782 + 0.986827i −0.0285993 + 0.174448i
\(33\) 2.03860 + 2.40002i 0.354874 + 0.417790i
\(34\) −2.06371 + 2.42958i −0.353923 + 0.416670i
\(35\) 2.61145 + 15.9291i 0.441415 + 2.69251i
\(36\) 0.468408 0.883512i 0.0780681 0.147252i
\(37\) 0.961469 + 0.211635i 0.158065 + 0.0347926i 0.293298 0.956021i \(-0.405247\pi\)
−0.135233 + 0.990814i \(0.543178\pi\)
\(38\) −4.38330 1.47691i −0.711065 0.239586i
\(39\) 0.00859341 + 0.158496i 0.00137605 + 0.0253797i
\(40\) −3.35808 + 2.55275i −0.530960 + 0.403625i
\(41\) −1.41169 2.66272i −0.220468 0.415848i 0.748463 0.663176i \(-0.230792\pi\)
−0.968932 + 0.247329i \(0.920447\pi\)
\(42\) −1.02375 3.68721i −0.157968 0.568948i
\(43\) 2.87079 + 2.71935i 0.437791 + 0.414698i 0.874591 0.484861i \(-0.161130\pi\)
−0.436800 + 0.899559i \(0.643888\pi\)
\(44\) 1.16555 + 2.92532i 0.175714 + 0.441008i
\(45\) 3.99739 1.34688i 0.595896 0.200781i
\(46\) −6.76355 + 0.735581i −0.997231 + 0.108455i
\(47\) −3.78931 1.75312i −0.552727 0.255719i 0.123585 0.992334i \(-0.460561\pi\)
−0.676312 + 0.736615i \(0.736423\pi\)
\(48\) 0.725995 0.687699i 0.104788 0.0992609i
\(49\) −6.54943 3.94066i −0.935633 0.562951i
\(50\) −12.7182 1.38319i −1.79863 0.195613i
\(51\) 3.11322 0.685272i 0.435938 0.0959573i
\(52\) −0.0424645 + 0.152943i −0.00588877 + 0.0212094i
\(53\) 2.12195 1.27674i 0.291473 0.175373i −0.362306 0.932059i \(-0.618010\pi\)
0.653779 + 0.756686i \(0.273183\pi\)
\(54\) −0.907575 + 0.419889i −0.123505 + 0.0571397i
\(55\) −4.91654 + 12.3396i −0.662946 + 1.66387i
\(56\) 0.207173 3.82108i 0.0276846 0.510613i
\(57\) 2.59573 + 3.82841i 0.343813 + 0.507086i
\(58\) 10.1726 1.33572
\(59\) −6.17017 4.57483i −0.803287 0.595592i
\(60\) 4.21820 0.544568
\(61\) −5.03490 7.42592i −0.644653 0.950792i −0.999872 0.0160089i \(-0.994904\pi\)
0.355219 0.934783i \(-0.384406\pi\)
\(62\) −0.464463 + 8.56652i −0.0589869 + 1.08795i
\(63\) −1.41640 + 3.55490i −0.178450 + 0.447876i
\(64\) 0.907575 0.419889i 0.113447 0.0524861i
\(65\) −0.573710 + 0.345190i −0.0711599 + 0.0428155i
\(66\) 0.842438 3.03419i 0.103697 0.373483i
\(67\) −0.504961 + 0.111150i −0.0616908 + 0.0135792i −0.245709 0.969344i \(-0.579021\pi\)
0.184018 + 0.982923i \(0.441090\pi\)
\(68\) 3.16906 + 0.344656i 0.384305 + 0.0417957i
\(69\) 5.82957 + 3.50754i 0.701798 + 0.422258i
\(70\) 11.7188 11.1007i 1.40067 1.32678i
\(71\) 9.39506 + 4.34662i 1.11499 + 0.515848i 0.888828 0.458242i \(-0.151521\pi\)
0.226160 + 0.974090i \(0.427383\pi\)
\(72\) −0.994138 + 0.108119i −0.117160 + 0.0127419i
\(73\) −2.34980 + 0.791740i −0.275023 + 0.0926661i −0.453434 0.891290i \(-0.649801\pi\)
0.178410 + 0.983956i \(0.442905\pi\)
\(74\) −0.364396 0.914564i −0.0423601 0.106316i
\(75\) 9.28784 + 8.79791i 1.07247 + 1.01589i
\(76\) 1.23743 + 4.45683i 0.141943 + 0.511233i
\(77\) −5.64438 10.6464i −0.643237 1.21327i
\(78\) 0.126363 0.0960587i 0.0143078 0.0108765i
\(79\) 0.855561 + 15.7799i 0.0962581 + 1.77538i 0.505380 + 0.862897i \(0.331352\pi\)
−0.409122 + 0.912480i \(0.634165\pi\)
\(80\) 3.99739 + 1.34688i 0.446922 + 0.150586i
\(81\) 0.976621 + 0.214970i 0.108513 + 0.0238856i
\(82\) −1.41169 + 2.66272i −0.155895 + 0.294049i
\(83\) −0.0796732 0.485985i −0.00874527 0.0533438i 0.982093 0.188395i \(-0.0603284\pi\)
−0.990839 + 0.135051i \(0.956880\pi\)
\(84\) −2.47735 + 2.91656i −0.270301 + 0.318222i
\(85\) 8.70513 + 10.2485i 0.944204 + 1.11160i
\(86\) 0.639731 3.90219i 0.0689840 0.420784i
\(87\) −8.09831 6.15617i −0.868230 0.660011i
\(88\) 1.76716 2.60637i 0.188380 0.277840i
\(89\) 5.18600 7.64878i 0.549715 0.810770i −0.446760 0.894654i \(-0.647422\pi\)
0.996476 + 0.0838842i \(0.0267326\pi\)
\(90\) −3.35808 2.55275i −0.353973 0.269083i
\(91\) 0.0982674 0.599405i 0.0103012 0.0628347i
\(92\) 4.40445 + 5.18532i 0.459196 + 0.540607i
\(93\) 5.55399 6.53867i 0.575922 0.678028i
\(94\) 0.675472 + 4.12019i 0.0696696 + 0.424966i
\(95\) −9.13911 + 17.2382i −0.937653 + 1.76860i
\(96\) −0.976621 0.214970i −0.0996759 0.0219403i
\(97\) 4.86638 + 1.63968i 0.494106 + 0.166484i 0.555313 0.831641i \(-0.312598\pi\)
−0.0612069 + 0.998125i \(0.519495\pi\)
\(98\) 0.413813 + 7.63234i 0.0418015 + 0.770982i
\(99\) −2.50687 + 1.90567i −0.251950 + 0.191527i
\(100\) 5.99246 + 11.3030i 0.599246 + 1.13030i
\(101\) −4.35357 15.6801i −0.433197 1.56023i −0.782148 0.623092i \(-0.785876\pi\)
0.348952 0.937141i \(-0.386538\pi\)
\(102\) −2.31429 2.19221i −0.229149 0.217062i
\(103\) −1.02888 2.58228i −0.101378 0.254440i 0.869535 0.493871i \(-0.164418\pi\)
−0.970913 + 0.239431i \(0.923039\pi\)
\(104\) 0.150420 0.0506824i 0.0147499 0.00496982i
\(105\) −16.0471 + 1.74523i −1.56604 + 0.170317i
\(106\) −2.24756 1.03983i −0.218302 0.100997i
\(107\) 6.20784 5.88038i 0.600134 0.568477i −0.326143 0.945321i \(-0.605749\pi\)
0.926277 + 0.376843i \(0.122990\pi\)
\(108\) 0.856857 + 0.515554i 0.0824511 + 0.0496092i
\(109\) 9.64809 + 1.04929i 0.924119 + 0.100504i 0.557791 0.829982i \(-0.311649\pi\)
0.366328 + 0.930486i \(0.380615\pi\)
\(110\) 12.9724 2.85545i 1.23687 0.272256i
\(111\) −0.263378 + 0.948601i −0.0249987 + 0.0900372i
\(112\) −3.27893 + 1.97286i −0.309829 + 0.186418i
\(113\) −5.79526 + 2.68117i −0.545172 + 0.252223i −0.673089 0.739562i \(-0.735033\pi\)
0.127917 + 0.991785i \(0.459171\pi\)
\(114\) 1.71205 4.29691i 0.160348 0.402443i
\(115\) −1.55369 + 28.6562i −0.144883 + 2.67220i
\(116\) −5.70871 8.41972i −0.530041 0.781751i
\(117\) −0.158729 −0.0146745
\(118\) −0.323916 + 7.67431i −0.0298189 + 0.706478i
\(119\) −12.1985 −1.11824
\(120\) −2.36720 3.49136i −0.216095 0.318716i
\(121\) −0.0586867 + 1.08241i −0.00533516 + 0.0984012i
\(122\) −3.32083 + 8.33466i −0.300654 + 0.754585i
\(123\) 2.73525 1.26546i 0.246629 0.114103i
\(124\) 7.35106 4.42299i 0.660145 0.397196i
\(125\) −8.79459 + 31.6753i −0.786612 + 2.83312i
\(126\) 3.73722 0.822625i 0.332938 0.0732853i
\(127\) −0.132883 0.0144518i −0.0117914 0.00128239i 0.102221 0.994762i \(-0.467405\pi\)
−0.114013 + 0.993479i \(0.536370\pi\)
\(128\) −0.856857 0.515554i −0.0757362 0.0455690i
\(129\) −2.87079 + 2.71935i −0.252759 + 0.239426i
\(130\) 0.607668 + 0.281137i 0.0532960 + 0.0246574i
\(131\) 18.6451 2.02778i 1.62903 0.177168i 0.752528 0.658560i \(-0.228834\pi\)
0.876505 + 0.481392i \(0.159869\pi\)
\(132\) −2.98413 + 1.00547i −0.259735 + 0.0875149i
\(133\) −6.55147 16.4430i −0.568085 1.42578i
\(134\) 0.375375 + 0.355574i 0.0324275 + 0.0307169i
\(135\) 1.12849 + 4.06445i 0.0971249 + 0.349812i
\(136\) −1.49317 2.81642i −0.128038 0.241506i
\(137\) 13.5163 10.2748i 1.15477 0.877834i 0.160747 0.986996i \(-0.448610\pi\)
0.994024 + 0.109161i \(0.0348165\pi\)
\(138\) −0.368330 6.79346i −0.0313544 0.578297i
\(139\) −22.1275 7.45561i −1.87683 0.632377i −0.982893 0.184179i \(-0.941037\pi\)
−0.893935 0.448197i \(-0.852066\pi\)
\(140\) −15.7644 3.47000i −1.33233 0.293269i
\(141\) 1.95570 3.68884i 0.164699 0.310656i
\(142\) −1.67474 10.2154i −0.140541 0.857262i
\(143\) 0.323585 0.380953i 0.0270595 0.0318569i
\(144\) 0.647386 + 0.762162i 0.0539489 + 0.0635135i
\(145\) 6.94206 42.3447i 0.576507 3.51653i
\(146\) 1.97399 + 1.50059i 0.163369 + 0.124190i
\(147\) 4.28946 6.32648i 0.353789 0.521799i
\(148\) −0.552481 + 0.814848i −0.0454136 + 0.0669801i
\(149\) −1.30783 0.994189i −0.107142 0.0814472i 0.550232 0.835012i \(-0.314539\pi\)
−0.657373 + 0.753565i \(0.728333\pi\)
\(150\) 2.06972 12.6247i 0.168992 1.03080i
\(151\) 6.12605 + 7.21214i 0.498531 + 0.586916i 0.952667 0.304017i \(-0.0983279\pi\)
−0.454136 + 0.890932i \(0.650052\pi\)
\(152\) 2.99444 3.52532i 0.242881 0.285942i
\(153\) 0.515721 + 3.14576i 0.0416935 + 0.254319i
\(154\) −5.64438 + 10.6464i −0.454837 + 0.857913i
\(155\) 35.3423 + 7.77944i 2.83876 + 0.624859i
\(156\) −0.150420 0.0506824i −0.0120432 0.00405784i
\(157\) −0.102163 1.88428i −0.00815346 0.150382i −0.999775 0.0212056i \(-0.993250\pi\)
0.991622 0.129176i \(-0.0412332\pi\)
\(158\) 12.5807 9.56361i 1.00087 0.760840i
\(159\) 1.15998 + 2.18796i 0.0919928 + 0.173517i
\(160\) −1.12849 4.06445i −0.0892149 0.321323i
\(161\) −18.9010 17.9040i −1.48961 1.41103i
\(162\) −0.370138 0.928977i −0.0290808 0.0729873i
\(163\) 2.64316 0.890586i 0.207029 0.0697561i −0.213877 0.976861i \(-0.568609\pi\)
0.420905 + 0.907105i \(0.361712\pi\)
\(164\) 2.99613 0.325849i 0.233958 0.0254445i
\(165\) −12.0553 5.57738i −0.938505 0.434199i
\(166\) −0.357533 + 0.338673i −0.0277499 + 0.0262861i
\(167\) 4.86926 + 2.92974i 0.376795 + 0.226710i 0.691335 0.722534i \(-0.257023\pi\)
−0.314540 + 0.949244i \(0.601850\pi\)
\(168\) 3.80426 + 0.413738i 0.293505 + 0.0319206i
\(169\) −12.6715 + 2.78920i −0.974728 + 0.214554i
\(170\) 3.59734 12.9565i 0.275904 0.993715i
\(171\) −3.96333 + 2.38466i −0.303083 + 0.182359i
\(172\) −3.58881 + 1.66036i −0.273644 + 0.126601i
\(173\) −5.68523 + 14.2688i −0.432240 + 1.08484i 0.538054 + 0.842910i \(0.319160\pi\)
−0.970294 + 0.241930i \(0.922220\pi\)
\(174\) −0.550732 + 10.1576i −0.0417509 + 0.770049i
\(175\) −27.4733 40.5201i −2.07679 3.06304i
\(176\) −3.14897 −0.237362
\(177\) 4.90216 5.91344i 0.368469 0.444481i
\(178\) −9.24113 −0.692652
\(179\) −3.84340 5.66860i −0.287270 0.423691i 0.656484 0.754340i \(-0.272043\pi\)
−0.943754 + 0.330649i \(0.892732\pi\)
\(180\) −0.228369 + 4.21202i −0.0170216 + 0.313945i
\(181\) −6.02002 + 15.1091i −0.447464 + 1.12305i 0.516327 + 0.856392i \(0.327299\pi\)
−0.963791 + 0.266659i \(0.914080\pi\)
\(182\) −0.551267 + 0.255043i −0.0408626 + 0.0189051i
\(183\) 7.68762 4.62549i 0.568285 0.341926i
\(184\) 1.82011 6.55545i 0.134180 0.483274i
\(185\) −4.05567 + 0.892721i −0.298179 + 0.0656341i
\(186\) −8.52881 0.927564i −0.625363 0.0680123i
\(187\) −8.60124 5.17519i −0.628985 0.378448i
\(188\) 3.03117 2.87128i 0.221071 0.209410i
\(189\) −3.47301 1.60678i −0.252624 0.116876i
\(190\) 19.3966 2.10951i 1.40718 0.153040i
\(191\) −21.7715 + 7.33567i −1.57533 + 0.530790i −0.965200 0.261512i \(-0.915779\pi\)
−0.610129 + 0.792302i \(0.708882\pi\)
\(192\) 0.370138 + 0.928977i 0.0267124 + 0.0670431i
\(193\) 7.98342 + 7.56230i 0.574659 + 0.544346i 0.918877 0.394544i \(-0.129097\pi\)
−0.344218 + 0.938890i \(0.611856\pi\)
\(194\) −1.37381 4.94802i −0.0986338 0.355247i
\(195\) −0.313623 0.591556i −0.0224590 0.0423622i
\(196\) 6.08497 4.62568i 0.434641 0.330406i
\(197\) −0.224062 4.13258i −0.0159637 0.294434i −0.995603 0.0936697i \(-0.970140\pi\)
0.979640 0.200764i \(-0.0643425\pi\)
\(198\) 2.98413 + 1.00547i 0.212073 + 0.0714557i
\(199\) −8.16372 1.79697i −0.578711 0.127384i −0.0840369 0.996463i \(-0.526781\pi\)
−0.494674 + 0.869079i \(0.664712\pi\)
\(200\) 5.99246 11.3030i 0.423731 0.799242i
\(201\) −0.0836492 0.510238i −0.00590016 0.0359894i
\(202\) −10.5351 + 12.4029i −0.741248 + 0.872665i
\(203\) 25.2010 + 29.6689i 1.76876 + 2.08235i
\(204\) −0.515721 + 3.14576i −0.0361077 + 0.220247i
\(205\) 10.1206 + 7.69346i 0.706851 + 0.537334i
\(206\) −1.55993 + 2.30073i −0.108686 + 0.160300i
\(207\) −3.81800 + 5.63113i −0.265369 + 0.391390i
\(208\) −0.126363 0.0960587i −0.00876170 0.00666047i
\(209\) 2.35641 14.3734i 0.162996 0.994232i
\(210\) 10.4499 + 12.3026i 0.721115 + 0.848962i
\(211\) −2.88659 + 3.39835i −0.198721 + 0.233952i −0.852492 0.522740i \(-0.824910\pi\)
0.653771 + 0.756692i \(0.273186\pi\)
\(212\) 0.400643 + 2.44382i 0.0275163 + 0.167842i
\(213\) −4.84888 + 9.14596i −0.332240 + 0.626671i
\(214\) −8.35088 1.83817i −0.570855 0.125655i
\(215\) −15.8068 5.32593i −1.07802 0.363226i
\(216\) −0.0541389 0.998533i −0.00368369 0.0679416i
\(217\) −26.1354 + 19.8676i −1.77418 + 1.34870i
\(218\) −4.54589 8.57446i −0.307887 0.580736i
\(219\) −0.663363 2.38922i −0.0448259 0.161448i
\(220\) −9.64339 9.13470i −0.650157 0.615862i
\(221\) −0.187286 0.470051i −0.0125982 0.0316191i
\(222\) 0.932951 0.314348i 0.0626156 0.0210976i
\(223\) −0.912719 + 0.0992642i −0.0611202 + 0.00664722i −0.138628 0.990345i \(-0.544269\pi\)
0.0775078 + 0.996992i \(0.475304\pi\)
\(224\) 3.47301 + 1.60678i 0.232050 + 0.107358i
\(225\) −9.28784 + 8.79791i −0.619189 + 0.586527i
\(226\) 5.47140 + 3.29203i 0.363952 + 0.218983i
\(227\) 19.7255 + 2.14528i 1.30923 + 0.142387i 0.735984 0.676999i \(-0.236720\pi\)
0.573243 + 0.819386i \(0.305685\pi\)
\(228\) −4.51729 + 0.994330i −0.299165 + 0.0658511i
\(229\) 1.28531 4.62927i 0.0849358 0.305911i −0.908864 0.417092i \(-0.863049\pi\)
0.993800 + 0.111181i \(0.0354632\pi\)
\(230\) 24.5903 14.7955i 1.62144 0.975587i
\(231\) 10.9364 5.05971i 0.719562 0.332905i
\(232\) −3.76525 + 9.45008i −0.247201 + 0.620428i
\(233\) 0.170444 3.14365i 0.0111661 0.205947i −0.987627 0.156824i \(-0.949875\pi\)
0.998793 0.0491233i \(-0.0156427\pi\)
\(234\) 0.0890766 + 0.131378i 0.00582312 + 0.00858846i
\(235\) 17.6118 1.14887
\(236\) 6.53372 4.03862i 0.425309 0.262892i
\(237\) −15.8031 −1.02652
\(238\) 6.84566 + 10.0966i 0.443738 + 0.654465i
\(239\) 0.927697 17.1104i 0.0600077 1.10678i −0.801158 0.598453i \(-0.795782\pi\)
0.861166 0.508324i \(-0.169735\pi\)
\(240\) −1.56132 + 3.91861i −0.100783 + 0.252945i
\(241\) −0.699244 + 0.323505i −0.0450423 + 0.0208388i −0.442281 0.896877i \(-0.645831\pi\)
0.397239 + 0.917715i \(0.369969\pi\)
\(242\) 0.928836 0.558862i 0.0597078 0.0359250i
\(243\) −0.267528 + 0.963550i −0.0171620 + 0.0618118i
\(244\) 8.76212 1.92869i 0.560937 0.123472i
\(245\) 32.0530 + 3.48598i 2.04779 + 0.222711i
\(246\) −2.58239 1.55377i −0.164647 0.0990650i
\(247\) 0.533018 0.504901i 0.0339151 0.0321261i
\(248\) −7.78618 3.60227i −0.494423 0.228744i
\(249\) 0.489585 0.0532456i 0.0310262 0.00337430i
\(250\) 31.1527 10.4966i 1.97027 0.663860i
\(251\) 4.89741 + 12.2916i 0.309122 + 0.775837i 0.998668 + 0.0515952i \(0.0164305\pi\)
−0.689547 + 0.724241i \(0.742190\pi\)
\(252\) −2.77816 2.63161i −0.175008 0.165776i
\(253\) −5.73147 20.6429i −0.360335 1.29781i
\(254\) 0.0626103 + 0.118096i 0.00392852 + 0.00740998i
\(255\) −10.7047 + 8.13752i −0.670356 + 0.509592i
\(256\) 0.0541389 + 0.998533i 0.00338368 + 0.0624083i
\(257\) 21.2942 + 7.17484i 1.32829 + 0.447554i 0.891913 0.452208i \(-0.149363\pi\)
0.436381 + 0.899762i \(0.356260\pi\)
\(258\) 3.86183 + 0.850053i 0.240427 + 0.0529220i
\(259\) 1.76464 3.32847i 0.109650 0.206821i
\(260\) −0.108321 0.660731i −0.00671780 0.0409768i
\(261\) 6.58558 7.75314i 0.407637 0.479908i
\(262\) −12.1418 14.2944i −0.750122 0.883112i
\(263\) 1.58307 9.65628i 0.0976161 0.595432i −0.892038 0.451960i \(-0.850725\pi\)
0.989654 0.143472i \(-0.0458267\pi\)
\(264\) 2.50687 + 1.90567i 0.154287 + 0.117286i
\(265\) −5.86223 + 8.64614i −0.360114 + 0.531128i
\(266\) −9.93305 + 14.6502i −0.609034 + 0.898258i
\(267\) 7.35680 + 5.59250i 0.450229 + 0.342255i
\(268\) 0.0836492 0.510238i 0.00510969 0.0311677i
\(269\) 0.516368 + 0.607915i 0.0314835 + 0.0370652i 0.777678 0.628662i \(-0.216397\pi\)
−0.746195 + 0.665727i \(0.768121\pi\)
\(270\) 2.73081 3.21495i 0.166192 0.195656i
\(271\) −3.51352 21.4315i −0.213431 1.30187i −0.848409 0.529342i \(-0.822439\pi\)
0.634977 0.772531i \(-0.281009\pi\)
\(272\) −1.49317 + 2.81642i −0.0905367 + 0.170770i
\(273\) 0.593206 + 0.130574i 0.0359024 + 0.00790272i
\(274\) −16.0895 5.42117i −0.972001 0.327505i
\(275\) −2.18101 40.2264i −0.131520 2.42574i
\(276\) −5.41617 + 4.11726i −0.326015 + 0.247830i
\(277\) 9.84876 + 18.5767i 0.591755 + 1.11617i 0.980812 + 0.194954i \(0.0624558\pi\)
−0.389058 + 0.921213i \(0.627199\pi\)
\(278\) 6.24672 + 22.4987i 0.374653 + 1.34938i
\(279\) 6.22839 + 5.89984i 0.372884 + 0.353214i
\(280\) 5.97468 + 14.9953i 0.357055 + 0.896141i
\(281\) −24.8167 + 8.36172i −1.48044 + 0.498819i −0.939591 0.342300i \(-0.888794\pi\)
−0.540850 + 0.841119i \(0.681897\pi\)
\(282\) −4.15072 + 0.451418i −0.247172 + 0.0268816i
\(283\) 17.3460 + 8.02512i 1.03111 + 0.477044i 0.861120 0.508402i \(-0.169763\pi\)
0.169993 + 0.985445i \(0.445626\pi\)
\(284\) −7.51537 + 7.11894i −0.445955 + 0.422431i
\(285\) −16.7181 10.0590i −0.990297 0.595842i
\(286\) −0.496902 0.0540414i −0.0293825 0.00319553i
\(287\) −11.2632 + 2.47922i −0.664847 + 0.146344i
\(288\) 0.267528 0.963550i 0.0157643 0.0567777i
\(289\) 5.85940 3.52548i 0.344671 0.207381i
\(290\) −38.9440 + 18.0174i −2.28687 + 1.05802i
\(291\) −1.90073 + 4.77048i −0.111423 + 0.279650i
\(292\) 0.134243 2.47596i 0.00785596 0.144895i
\(293\) 8.35441 + 12.3218i 0.488070 + 0.719849i 0.989369 0.145425i \(-0.0464549\pi\)
−0.501300 + 0.865274i \(0.667145\pi\)
\(294\) −7.64355 −0.445781
\(295\) 31.7243 + 6.58552i 1.84706 + 0.383424i
\(296\) 0.984486 0.0572221
\(297\) −1.76716 2.60637i −0.102541 0.151237i
\(298\) −0.0889402 + 1.64041i −0.00515217 + 0.0950262i
\(299\) 0.399713 1.00320i 0.0231160 0.0580168i
\(300\) −11.6108 + 5.37174i −0.670352 + 0.310138i
\(301\) 12.9658 7.80125i 0.747335 0.449657i
\(302\) 2.53155 9.11782i 0.145674 0.524672i
\(303\) 15.8928 3.49828i 0.913020 0.200971i
\(304\) −4.59831 0.500097i −0.263731 0.0286825i
\(305\) 32.4279 + 19.5112i 1.85682 + 1.11721i
\(306\) 2.31429 2.19221i 0.132299 0.125321i
\(307\) 8.44322 + 3.90625i 0.481880 + 0.222941i 0.645762 0.763538i \(-0.276540\pi\)
−0.163882 + 0.986480i \(0.552402\pi\)
\(308\) 11.9795 1.30285i 0.682594 0.0742366i
\(309\) 2.63420 0.887564i 0.149854 0.0504918i
\(310\) −13.3947 33.6182i −0.760768 1.90938i
\(311\) 2.48290 + 2.35193i 0.140792 + 0.133366i 0.754855 0.655892i \(-0.227707\pi\)
−0.614063 + 0.789257i \(0.710466\pi\)
\(312\) 0.0424645 + 0.152943i 0.00240408 + 0.00865871i
\(313\) 15.4861 + 29.2098i 0.875325 + 1.65104i 0.752483 + 0.658612i \(0.228856\pi\)
0.122842 + 0.992426i \(0.460799\pi\)
\(314\) −1.50226 + 1.14199i −0.0847776 + 0.0644463i
\(315\) −0.873897 16.1181i −0.0492385 0.908151i
\(316\) −14.9758 5.04595i −0.842456 0.283857i
\(317\) −5.72643 1.26048i −0.321629 0.0707958i 0.0512217 0.998687i \(-0.483688\pi\)
−0.372850 + 0.927891i \(0.621620\pi\)
\(318\) 1.15998 2.18796i 0.0650487 0.122695i
\(319\) 5.18238 + 31.6111i 0.290157 + 1.76988i
\(320\) −2.73081 + 3.21495i −0.152657 + 0.179721i
\(321\) 5.53567 + 6.51709i 0.308971 + 0.363749i
\(322\) −4.21193 + 25.6917i −0.234722 + 1.43174i
\(323\) −11.7382 8.92312i −0.653129 0.496495i
\(324\) −0.561187 + 0.827689i −0.0311771 + 0.0459827i
\(325\) 1.13958 1.68075i 0.0632125 0.0932314i
\(326\) −2.22044 1.68793i −0.122979 0.0934860i
\(327\) −1.57009 + 9.57713i −0.0868262 + 0.529616i
\(328\) −1.95109 2.29700i −0.107731 0.126831i
\(329\) −10.3434 + 12.1772i −0.570250 + 0.671351i
\(330\) 2.14895 + 13.1080i 0.118296 + 0.721572i
\(331\) −2.22384 + 4.19461i −0.122233 + 0.230557i −0.937076 0.349126i \(-0.886479\pi\)
0.814842 + 0.579683i \(0.196823\pi\)
\(332\) 0.480959 + 0.105867i 0.0263960 + 0.00581021i
\(333\) −0.932951 0.314348i −0.0511254 0.0172262i
\(334\) −0.307655 5.67437i −0.0168341 0.310487i
\(335\) 1.73629 1.31990i 0.0948639 0.0721136i
\(336\) −1.79245 3.38093i −0.0977863 0.184445i
\(337\) −6.87388 24.7575i −0.374444 1.34862i −0.875503 0.483212i \(-0.839470\pi\)
0.501060 0.865413i \(-0.332944\pi\)
\(338\) 9.41965 + 8.92277i 0.512361 + 0.485335i
\(339\) −2.36349 5.93191i −0.128367 0.322177i
\(340\) −12.7427 + 4.29351i −0.691070 + 0.232849i
\(341\) −26.8569 + 2.92087i −1.45439 + 0.158174i
\(342\) 4.19792 + 1.94217i 0.226998 + 0.105020i
\(343\) −1.78787 + 1.69357i −0.0965362 + 0.0914439i
\(344\) 3.38825 + 2.03864i 0.182682 + 0.109916i
\(345\) −28.5300 3.10283i −1.53601 0.167051i
\(346\) 15.0006 3.30189i 0.806439 0.177511i
\(347\) −6.35081 + 22.8735i −0.340929 + 1.22792i 0.572155 + 0.820146i \(0.306108\pi\)
−0.913084 + 0.407771i \(0.866306\pi\)
\(348\) 8.71644 5.24451i 0.467250 0.281135i
\(349\) 4.47007 2.06807i 0.239277 0.110701i −0.296586 0.955006i \(-0.595848\pi\)
0.535863 + 0.844305i \(0.319986\pi\)
\(350\) −18.1204 + 45.4788i −0.968576 + 2.43094i
\(351\) 0.00859341 0.158496i 0.000458682 0.00845990i
\(352\) 1.76716 + 2.60637i 0.0941899 + 0.138920i
\(353\) 24.1709 1.28649 0.643245 0.765661i \(-0.277588\pi\)
0.643245 + 0.765661i \(0.277588\pi\)
\(354\) −7.64552 0.738920i −0.406355 0.0392732i
\(355\) −43.6661 −2.31756
\(356\) 5.18600 + 7.64878i 0.274858 + 0.405385i
\(357\) 0.660415 12.1806i 0.0349529 0.644668i
\(358\) −2.53497 + 6.36229i −0.133977 + 0.336257i
\(359\) 14.1905 6.56524i 0.748947 0.346500i −0.00800687 0.999968i \(-0.502549\pi\)
0.756954 + 0.653468i \(0.226687\pi\)
\(360\) 3.61440 2.17471i 0.190496 0.114617i
\(361\) 0.640615 2.30729i 0.0337166 0.121436i
\(362\) 15.8840 3.49633i 0.834844 0.183763i
\(363\) −1.07765 0.117201i −0.0565619 0.00615147i
\(364\) 0.520460 + 0.313151i 0.0272795 + 0.0164136i
\(365\) 7.59352 7.19296i 0.397463 0.376497i
\(366\) −8.14265 3.76719i −0.425623 0.196914i
\(367\) 12.3398 1.34203i 0.644132 0.0700536i 0.219778 0.975550i \(-0.429467\pi\)
0.424354 + 0.905496i \(0.360501\pi\)
\(368\) −6.44730 + 2.17235i −0.336089 + 0.113241i
\(369\) 1.11552 + 2.79975i 0.0580717 + 0.145749i
\(370\) 3.01489 + 2.85585i 0.156736 + 0.148469i
\(371\) −2.53525 9.13114i −0.131624 0.474065i
\(372\) 4.01852 + 7.57974i 0.208351 + 0.392991i
\(373\) 10.0581 7.64597i 0.520789 0.395894i −0.311491 0.950249i \(-0.600828\pi\)
0.832280 + 0.554356i \(0.187035\pi\)
\(374\) 0.543453 + 10.0234i 0.0281013 + 0.518298i
\(375\) −31.1527 10.4966i −1.60872 0.542040i
\(376\) −4.07758 0.897544i −0.210285 0.0462873i
\(377\) −0.756330 + 1.42659i −0.0389530 + 0.0734731i
\(378\) 0.619089 + 3.77628i 0.0318425 + 0.194231i
\(379\) −5.07554 + 5.97538i −0.260713 + 0.306935i −0.876908 0.480659i \(-0.840398\pi\)
0.616195 + 0.787594i \(0.288673\pi\)
\(380\) −12.6311 14.8705i −0.647964 0.762842i
\(381\) 0.0216248 0.131905i 0.00110787 0.00675771i
\(382\) 18.2895 + 13.9033i 0.935774 + 0.711357i
\(383\) −16.5332 + 24.3847i −0.844809 + 1.24600i 0.122518 + 0.992466i \(0.460903\pi\)
−0.967327 + 0.253533i \(0.918407\pi\)
\(384\) 0.561187 0.827689i 0.0286380 0.0422378i
\(385\) 40.4653 + 30.7609i 2.06230 + 1.56772i
\(386\) 1.77904 10.8517i 0.0905507 0.552335i
\(387\) −2.55995 3.01380i −0.130129 0.153200i
\(388\) −3.32445 + 3.91385i −0.168774 + 0.198696i
\(389\) −0.798744 4.87212i −0.0404979 0.247026i 0.958817 0.284023i \(-0.0916692\pi\)
−0.999315 + 0.0369966i \(0.988221\pi\)
\(390\) −0.313623 + 0.591556i −0.0158809 + 0.0299546i
\(391\) −21.1806 4.66220i −1.07115 0.235778i
\(392\) −7.24343 2.44060i −0.365849 0.123269i
\(393\) 1.01538 + 18.7276i 0.0512191 + 0.944681i
\(394\) −3.29475 + 2.50460i −0.165987 + 0.126180i
\(395\) −31.2244 58.8954i −1.57107 2.96335i
\(396\) −0.842438 3.03419i −0.0423341 0.152474i
\(397\) −9.61860 9.11122i −0.482744 0.457279i 0.407207 0.913336i \(-0.366503\pi\)
−0.889951 + 0.456057i \(0.849261\pi\)
\(398\) 3.09404 + 7.76546i 0.155090 + 0.389247i
\(399\) 16.7735 5.65166i 0.839727 0.282937i
\(400\) −12.7182 + 1.38319i −0.635912 + 0.0691596i
\(401\) 23.5639 + 10.9018i 1.17672 + 0.544410i 0.908066 0.418826i \(-0.137558\pi\)
0.268656 + 0.963236i \(0.413420\pi\)
\(402\) −0.375375 + 0.355574i −0.0187220 + 0.0177344i
\(403\) −1.16683 0.702056i −0.0581238 0.0349719i
\(404\) 16.1779 + 1.75945i 0.804881 + 0.0875361i
\(405\) −4.11958 + 0.906789i −0.204704 + 0.0450587i
\(406\) 10.4141 37.5083i 0.516845 1.86151i
\(407\) 2.65635 1.59828i 0.131671 0.0792236i
\(408\) 2.89312 1.33850i 0.143231 0.0662657i
\(409\) −6.48963 + 16.2877i −0.320891 + 0.805377i 0.676716 + 0.736244i \(0.263402\pi\)
−0.997607 + 0.0691326i \(0.977977\pi\)
\(410\) 0.688257 12.6942i 0.0339906 0.626920i
\(411\) 9.52796 + 14.0527i 0.469980 + 0.693168i
\(412\) 2.77971 0.136946
\(413\) −23.1850 + 18.0672i −1.14086 + 0.889029i
\(414\) 6.80343 0.334371
\(415\) 1.16578 + 1.71940i 0.0572260 + 0.0844020i
\(416\) −0.00859341 + 0.158496i −0.000421327 + 0.00777091i
\(417\) 8.64263 21.6914i 0.423232 1.06223i
\(418\) −13.2191 + 6.11582i −0.646569 + 0.299134i
\(419\) 9.50811 5.72084i 0.464501 0.279481i −0.264004 0.964522i \(-0.585043\pi\)
0.728505 + 0.685040i \(0.240215\pi\)
\(420\) 4.31838 15.5534i 0.210715 0.758928i
\(421\) 31.6148 6.95894i 1.54081 0.339158i 0.638287 0.769799i \(-0.279643\pi\)
0.902524 + 0.430641i \(0.141712\pi\)
\(422\) 4.43269 + 0.482084i 0.215780 + 0.0234675i
\(423\) 3.57755 + 2.15254i 0.173946 + 0.104660i
\(424\) 1.79788 1.70305i 0.0873129 0.0827072i
\(425\) −37.0124 17.1238i −1.79537 0.830625i
\(426\) 10.2911 1.11923i 0.498607 0.0542268i
\(427\) −32.5354 + 10.9624i −1.57450 + 0.530510i
\(428\) 3.16498 + 7.94349i 0.152985 + 0.383963i
\(429\) 0.362876 + 0.343734i 0.0175198 + 0.0165957i
\(430\) 4.46236 + 16.0720i 0.215194 + 0.775059i
\(431\) −5.50679 10.3869i −0.265253 0.500320i 0.714731 0.699400i \(-0.246549\pi\)
−0.979983 + 0.199080i \(0.936205\pi\)
\(432\) −0.796093 + 0.605174i −0.0383020 + 0.0291165i
\(433\) −1.29447 23.8752i −0.0622085 1.14737i −0.848390 0.529372i \(-0.822428\pi\)
0.786181 0.617996i \(-0.212055\pi\)
\(434\) 31.1110 + 10.4825i 1.49338 + 0.503177i
\(435\) 41.9067 + 9.22437i 2.00927 + 0.442275i
\(436\) −4.54589 + 8.57446i −0.217709 + 0.410642i
\(437\) −5.09108 31.0542i −0.243540 1.48553i
\(438\) −1.60526 + 1.88986i −0.0767022 + 0.0903008i
\(439\) −7.79452 9.17642i −0.372012 0.437966i 0.544020 0.839073i \(-0.316902\pi\)
−0.916032 + 0.401106i \(0.868626\pi\)
\(440\) −2.14895 + 13.1080i −0.102447 + 0.624900i
\(441\) 6.08497 + 4.62568i 0.289761 + 0.220270i
\(442\) −0.283954 + 0.418801i −0.0135063 + 0.0199203i
\(443\) 3.57536 5.27327i 0.169871 0.250540i −0.733219 0.679993i \(-0.761983\pi\)
0.903090 + 0.429452i \(0.141293\pi\)
\(444\) −0.783742 0.595785i −0.0371948 0.0282747i
\(445\) −6.30642 + 38.4675i −0.298953 + 1.82353i
\(446\) 0.594366 + 0.699742i 0.0281441 + 0.0331337i
\(447\) 1.06354 1.25209i 0.0503035 0.0592219i
\(448\) −0.619089 3.77628i −0.0292492 0.178412i
\(449\) 18.7735 35.4105i 0.885974 1.67112i 0.155883 0.987776i \(-0.450178\pi\)
0.730092 0.683349i \(-0.239477\pi\)
\(450\) 12.4941 + 2.75017i 0.588980 + 0.129644i
\(451\) −8.99355 3.03028i −0.423490 0.142690i
\(452\) −0.345700 6.37606i −0.0162604 0.299905i
\(453\) −7.53322 + 5.72660i −0.353942 + 0.269059i
\(454\) −9.29407 17.5305i −0.436192 0.822746i
\(455\) 0.685451 + 2.46877i 0.0321345 + 0.115738i
\(456\) 3.35804 + 3.18090i 0.157255 + 0.148959i
\(457\) −14.0646 35.2995i −0.657915 1.65124i −0.754807 0.655947i \(-0.772270\pi\)
0.0968927 0.995295i \(-0.469110\pi\)
\(458\) −4.55290 + 1.53405i −0.212743 + 0.0716815i
\(459\) −3.16906 + 0.344656i −0.147919 + 0.0160872i
\(460\) −26.0458 12.0501i −1.21439 0.561838i
\(461\) −7.92465 + 7.50663i −0.369088 + 0.349618i −0.849655 0.527340i \(-0.823190\pi\)
0.480567 + 0.876958i \(0.340431\pi\)
\(462\) −10.3252 6.21249i −0.480373 0.289031i
\(463\) 7.96223 + 0.865944i 0.370036 + 0.0402438i 0.291248 0.956648i \(-0.405929\pi\)
0.0787879 + 0.996891i \(0.474895\pi\)
\(464\) 9.93474 2.18680i 0.461209 0.101520i
\(465\) −9.68142 + 34.8693i −0.448965 + 1.61703i
\(466\) −2.69761 + 1.62310i −0.124965 + 0.0751887i
\(467\) −6.99760 + 3.23743i −0.323810 + 0.149811i −0.575059 0.818112i \(-0.695021\pi\)
0.251249 + 0.967923i \(0.419159\pi\)
\(468\) 0.0587516 0.147456i 0.00271580 0.00681613i
\(469\) −0.107118 + 1.97568i −0.00494627 + 0.0912286i
\(470\) −9.88353 14.5771i −0.455893 0.672392i
\(471\) 1.88704 0.0869504
\(472\) −7.00936 3.14147i −0.322632 0.144598i
\(473\) 12.4519 0.572539
\(474\) 8.86848 + 13.0800i 0.407343 + 0.600786i
\(475\) 3.20363 59.0874i 0.146992 2.71112i
\(476\) 4.51514 11.3322i 0.206951 0.519408i
\(477\) −2.24756 + 1.03983i −0.102908 + 0.0476105i
\(478\) −14.6827 + 8.83427i −0.671570 + 0.404070i
\(479\) −1.88141 + 6.77623i −0.0859638 + 0.309614i −0.994015 0.109246i \(-0.965156\pi\)
0.908051 + 0.418860i \(0.137570\pi\)
\(480\) 4.11958 0.906789i 0.188032 0.0413891i
\(481\) 0.155350 + 0.0168954i 0.00708337 + 0.000770362i
\(482\) 0.660168 + 0.397210i 0.0300698 + 0.0180924i
\(483\) 18.9010 17.9040i 0.860026 0.814660i
\(484\) −0.983814 0.455161i −0.0447188 0.0206891i
\(485\) −21.5343 + 2.34200i −0.977823 + 0.106345i
\(486\) 0.947653 0.319302i 0.0429864 0.0144838i
\(487\) 1.94667 + 4.88578i 0.0882122 + 0.221396i 0.966464 0.256803i \(-0.0826691\pi\)
−0.878252 + 0.478199i \(0.841290\pi\)
\(488\) −6.51354 6.16995i −0.294854 0.279301i
\(489\) 0.746182 + 2.68750i 0.0337435 + 0.121533i
\(490\) −15.1024 28.4862i −0.682259 1.28688i
\(491\) −6.96842 + 5.29725i −0.314480 + 0.239062i −0.750492 0.660879i \(-0.770184\pi\)
0.436012 + 0.899941i \(0.356390\pi\)
\(492\) 0.163164 + 3.00937i 0.00735598 + 0.135673i
\(493\) 30.7301 + 10.3542i 1.38402 + 0.466329i
\(494\) −0.717024 0.157829i −0.0322604 0.00710106i
\(495\) 6.22186 11.7357i 0.279652 0.527480i
\(496\) 1.38794 + 8.46608i 0.0623205 + 0.380138i
\(497\) 25.6450 30.1917i 1.15034 1.35428i
\(498\) −0.318820 0.375344i −0.0142867 0.0168196i
\(499\) −2.37916 + 14.5122i −0.106506 + 0.649657i 0.878580 + 0.477595i \(0.158491\pi\)
−0.985086 + 0.172062i \(0.944957\pi\)
\(500\) −26.1704 19.8942i −1.17037 0.889695i
\(501\) −3.18906 + 4.70351i −0.142477 + 0.210137i
\(502\) 7.42523 10.9514i 0.331404 0.488785i
\(503\) 25.4105 + 19.3165i 1.13300 + 0.861282i 0.991686 0.128683i \(-0.0410750\pi\)
0.141311 + 0.989965i \(0.454868\pi\)
\(504\) −0.619089 + 3.77628i −0.0275764 + 0.168209i
\(505\) 44.4393 + 52.3180i 1.97752 + 2.32812i
\(506\) −13.8695 + 16.3284i −0.616573 + 0.725886i
\(507\) −2.09909 12.8039i −0.0932239 0.568640i
\(508\) 0.0626103 0.118096i 0.00277788 0.00523964i
\(509\) 39.8663 + 8.77524i 1.76704 + 0.388955i 0.975122 0.221669i \(-0.0711504\pi\)
0.791920 + 0.610624i \(0.209081\pi\)
\(510\) 12.7427 + 4.29351i 0.564256 + 0.190120i
\(511\) 0.513705 + 9.47474i 0.0227250 + 0.419138i
\(512\) 0.796093 0.605174i 0.0351827 0.0267452i
\(513\) −2.16659 4.08662i −0.0956572 0.180429i
\(514\) −6.01148 21.6514i −0.265155 0.955001i
\(515\) 8.51256 + 8.06353i 0.375108 + 0.355321i
\(516\) −1.46363 3.67343i −0.0644327 0.161714i
\(517\) −12.4593 + 4.19804i −0.547961 + 0.184629i
\(518\) −3.74524 + 0.407319i −0.164556 + 0.0178966i
\(519\) −13.9401 6.44939i −0.611904 0.283097i
\(520\) −0.486091 + 0.460450i −0.0213165 + 0.0201921i
\(521\) −13.7423 8.26847i −0.602061 0.362248i 0.181660 0.983361i \(-0.441853\pi\)
−0.783721 + 0.621113i \(0.786681\pi\)
\(522\) −10.1129 1.09985i −0.442631 0.0481390i
\(523\) 22.1820 4.88263i 0.969952 0.213503i 0.298385 0.954446i \(-0.403552\pi\)
0.671568 + 0.740943i \(0.265621\pi\)
\(524\) −5.01752 + 18.0715i −0.219191 + 0.789455i
\(525\) 41.9481 25.2393i 1.83076 1.10153i
\(526\) −8.88079 + 4.10869i −0.387221 + 0.179147i
\(527\) −10.1226 + 25.4057i −0.440945 + 1.10669i
\(528\) 0.170482 3.14435i 0.00741926 0.136840i
\(529\) −13.0682 19.2742i −0.568183 0.838007i
\(530\) 10.4461 0.453751
\(531\) 5.63937 + 5.21512i 0.244728 + 0.226317i
\(532\) 17.7001 0.767395
\(533\) −0.268459 0.395947i −0.0116282 0.0171504i
\(534\) 0.500305 9.22758i 0.0216503 0.399316i
\(535\) −13.3505 + 33.5073i −0.577193 + 1.44864i
\(536\) −0.469261 + 0.217103i −0.0202690 + 0.00937743i
\(537\) 5.86836 3.53088i 0.253238 0.152369i
\(538\) 0.213386 0.768546i 0.00919971 0.0331344i
\(539\) −23.5066 + 5.17418i −1.01250 + 0.222868i
\(540\) −4.19348 0.456068i −0.180458 0.0196260i
\(541\) −6.51483 3.91984i −0.280094 0.168527i 0.368574 0.929598i \(-0.379846\pi\)
−0.648668 + 0.761071i \(0.724674\pi\)
\(542\) −15.7669 + 14.9352i −0.677246 + 0.641522i
\(543\) −14.7610 6.82918i −0.633456 0.293068i
\(544\) 3.16906 0.344656i 0.135872 0.0147770i
\(545\) −38.7946 + 13.0714i −1.66178 + 0.559919i
\(546\) −0.224824 0.564266i −0.00962159 0.0241484i
\(547\) 6.16791 + 5.84256i 0.263721 + 0.249810i 0.808122 0.589016i \(-0.200484\pi\)
−0.544401 + 0.838825i \(0.683243\pi\)
\(548\) 4.54216 + 16.3594i 0.194031 + 0.698838i
\(549\) 4.20250 + 7.92676i 0.179358 + 0.338306i
\(550\) −32.0710 + 24.3798i −1.36751 + 1.03956i
\(551\) 2.54737 + 46.9834i 0.108522 + 2.00156i
\(552\) 6.44730 + 2.17235i 0.274415 + 0.0924612i
\(553\) 59.0596 + 13.0000i 2.51147 + 0.552816i
\(554\) 9.84876 18.5767i 0.418434 0.789250i
\(555\) −0.671842 4.09805i −0.0285181 0.173953i
\(556\) 15.1163 17.7963i 0.641074 0.754731i
\(557\) −16.4104 19.3198i −0.695330 0.818605i 0.295268 0.955415i \(-0.404591\pi\)
−0.990597 + 0.136809i \(0.956315\pi\)
\(558\) 1.38794 8.46608i 0.0587564 0.358398i
\(559\) 0.499675 + 0.379843i 0.0211340 + 0.0160656i
\(560\) 9.05854 13.3604i 0.382793 0.564578i
\(561\) 5.63327 8.30844i 0.237837 0.350783i
\(562\) 20.8477 + 15.8480i 0.879408 + 0.668509i
\(563\) 1.65399 10.0889i 0.0697073 0.425195i −0.928800 0.370581i \(-0.879159\pi\)
0.998508 0.0546147i \(-0.0173931\pi\)
\(564\) 2.70296 + 3.18218i 0.113815 + 0.133994i
\(565\) 17.4374 20.5289i 0.733596 0.863656i
\(566\) −3.09205 18.8607i −0.129969 0.792774i
\(567\) 1.79245 3.38093i 0.0752760 0.141986i
\(568\) 10.1098 + 2.22534i 0.424198 + 0.0933730i
\(569\) −18.0913 6.09568i −0.758428 0.255544i −0.0865920 0.996244i \(-0.527598\pi\)
−0.671836 + 0.740700i \(0.734494\pi\)
\(570\) 1.05630 + 19.4824i 0.0442437 + 0.816027i
\(571\) −27.0472 + 20.5607i −1.13189 + 0.860440i −0.991558 0.129665i \(-0.958610\pi\)
−0.140331 + 0.990105i \(0.544817\pi\)
\(572\) 0.234126 + 0.441608i 0.00978929 + 0.0184646i
\(573\) −6.14623 22.1367i −0.256762 0.924774i
\(574\) 8.37280 + 7.93114i 0.349474 + 0.331039i
\(575\) −32.2161 80.8563i −1.34350 3.37194i
\(576\) −0.947653 + 0.319302i −0.0394855 + 0.0133042i
\(577\) 26.4154 2.87284i 1.09969 0.119598i 0.459766 0.888040i \(-0.347933\pi\)
0.639919 + 0.768442i \(0.278968\pi\)
\(578\) −6.20622 2.87130i −0.258145 0.119431i
\(579\) −7.98342 + 7.56230i −0.331780 + 0.314278i
\(580\) 36.7677 + 22.1224i 1.52670 + 0.918582i
\(581\) −1.87349 0.203754i −0.0777255 0.00845316i
\(582\) 5.01514 1.10392i 0.207884 0.0457587i
\(583\) 2.08625 7.51398i 0.0864035 0.311197i
\(584\) −2.12466 + 1.27837i −0.0879191 + 0.0528992i
\(585\) 0.607668 0.281137i 0.0251240 0.0116236i
\(586\) 5.51026 13.8297i 0.227627 0.571300i
\(587\) −0.860856 + 15.8775i −0.0355313 + 0.655337i 0.925475 + 0.378809i \(0.123666\pi\)
−0.961006 + 0.276527i \(0.910816\pi\)
\(588\) 4.28946 + 6.32648i 0.176894 + 0.260900i
\(589\) −39.6820 −1.63507
\(590\) −12.3525 29.9536i −0.508545 1.23317i
\(591\) 4.13865 0.170241
\(592\) −0.552481 0.814848i −0.0227068 0.0334900i
\(593\) −0.290773 + 5.36299i −0.0119406 + 0.220232i 0.986473 + 0.163924i \(0.0524153\pi\)
−0.998413 + 0.0563071i \(0.982067\pi\)
\(594\) −1.16555 + 2.92532i −0.0478232 + 0.120027i
\(595\) 46.7001 21.6058i 1.91452 0.885750i
\(596\) 1.40766 0.846960i 0.0576599 0.0346928i
\(597\) 2.23631 8.05446i 0.0915261 0.329647i
\(598\) −1.05465 + 0.232147i −0.0431280 + 0.00949320i
\(599\) 0.888213 + 0.0965990i 0.0362914 + 0.00394693i 0.126247 0.991999i \(-0.459707\pi\)
−0.0899553 + 0.995946i \(0.528672\pi\)
\(600\) 10.9620 + 6.59561i 0.447521 + 0.269264i
\(601\) −34.7123 + 32.8812i −1.41594 + 1.34125i −0.555686 + 0.831392i \(0.687544\pi\)
−0.860257 + 0.509860i \(0.829697\pi\)
\(602\) −13.7332 6.35367i −0.559725 0.258956i
\(603\) 0.514018 0.0559028i 0.0209324 0.00227654i
\(604\) −8.96739 + 3.02147i −0.364878 + 0.122942i
\(605\) −1.69247 4.24779i −0.0688088 0.172697i
\(606\) −11.8143 11.1911i −0.479925 0.454609i
\(607\) −1.21891 4.39011i −0.0494740 0.178189i 0.934685 0.355477i \(-0.115682\pi\)
−0.984159 + 0.177288i \(0.943268\pi\)
\(608\) 2.16659 + 4.08662i 0.0878668 + 0.165734i
\(609\) −30.9897 + 23.5578i −1.25577 + 0.954609i
\(610\) −2.04890 37.7897i −0.0829575 1.53006i
\(611\) −0.628033 0.211609i −0.0254075 0.00856078i
\(612\) −3.11322 0.685272i −0.125845 0.0277005i
\(613\) 6.08705 11.4814i 0.245854 0.463729i −0.729618 0.683855i \(-0.760302\pi\)
0.975471 + 0.220126i \(0.0706469\pi\)
\(614\) −1.50507 9.18050i −0.0607395 0.370495i
\(615\) −8.23009 + 9.68921i −0.331869 + 0.390707i
\(616\) −7.80108 9.18414i −0.314315 0.370040i
\(617\) −7.45062 + 45.4467i −0.299951 + 1.82962i 0.220095 + 0.975479i \(0.429363\pi\)
−0.520045 + 0.854139i \(0.674085\pi\)
\(618\) −2.21290 1.68221i −0.0890161 0.0676683i
\(619\) 14.2995 21.0902i 0.574745 0.847686i −0.423561 0.905868i \(-0.639220\pi\)
0.998306 + 0.0581819i \(0.0185303\pi\)
\(620\) −20.3085 + 29.9527i −0.815607 + 1.20293i
\(621\) −5.41617 4.11726i −0.217343 0.165220i
\(622\) 0.553294 3.37494i 0.0221851 0.135323i
\(623\) −22.8935 26.9523i −0.917208 1.07982i
\(624\) 0.102759 0.120977i 0.00411365 0.00484296i
\(625\) −12.0853 73.7168i −0.483410 2.94867i
\(626\) 15.4861 29.2098i 0.618948 1.16746i
\(627\) 14.2248 + 3.13111i 0.568083 + 0.125045i
\(628\) 1.78826 + 0.602536i 0.0713595 + 0.0240438i
\(629\) −0.169904 3.13369i −0.00677451 0.124948i
\(630\) −12.8503 + 9.76857i −0.511970 + 0.389189i
\(631\) 6.94836 + 13.1060i 0.276610 + 0.521742i 0.982426 0.186654i \(-0.0597642\pi\)
−0.705816 + 0.708395i \(0.749419\pi\)
\(632\) 4.22777 + 15.2270i 0.168172 + 0.605700i
\(633\) −3.23709 3.06634i −0.128663 0.121876i
\(634\) 2.17031 + 5.44707i 0.0861941 + 0.216331i
\(635\) 0.534316 0.180032i 0.0212037 0.00714435i
\(636\) −2.46192 + 0.267750i −0.0976216 + 0.0106170i
\(637\) −1.10112 0.509431i −0.0436279 0.0201844i
\(638\) 23.2559 22.0291i 0.920709 0.872142i
\(639\) −8.87003 5.33692i −0.350893 0.211125i
\(640\) 4.19348 + 0.456068i 0.165762 + 0.0180277i
\(641\) −20.4074 + 4.49200i −0.806043 + 0.177423i −0.598834 0.800873i \(-0.704369\pi\)
−0.207209 + 0.978297i \(0.566438\pi\)
\(642\) 2.28758 8.23912i 0.0902836 0.325172i
\(643\) 6.76352 4.06948i 0.266727 0.160485i −0.375907 0.926657i \(-0.622669\pi\)
0.642635 + 0.766173i \(0.277841\pi\)
\(644\) 23.6284 10.9317i 0.931089 0.430768i
\(645\) 6.17389 15.4953i 0.243097 0.610126i
\(646\) −0.798262 + 14.7231i −0.0314072 + 0.579272i
\(647\) −22.3554 32.9718i −0.878882 1.29625i −0.954223 0.299096i \(-0.903315\pi\)
0.0753410 0.997158i \(-0.475995\pi\)
\(648\) 1.00000 0.0392837
\(649\) −24.0128 + 2.90308i −0.942586 + 0.113956i
\(650\) −2.03066 −0.0796490
\(651\) −18.4235 27.1727i −0.722075 1.06498i
\(652\) −0.151003 + 2.78508i −0.00591372 + 0.109072i
\(653\) 3.43563 8.62279i 0.134447 0.337436i −0.846304 0.532700i \(-0.821177\pi\)
0.980751 + 0.195265i \(0.0625565\pi\)
\(654\) 8.80800 4.07501i 0.344420 0.159346i
\(655\) −67.7883 + 40.7869i −2.64871 + 1.59368i
\(656\) −0.806275 + 2.90394i −0.0314798 + 0.113380i
\(657\) 2.42163 0.533040i 0.0944767 0.0207959i
\(658\) 15.8835 + 1.72744i 0.619204 + 0.0673425i
\(659\) 16.4082 + 9.87247i 0.639172 + 0.384577i 0.797938 0.602739i \(-0.205924\pi\)
−0.158767 + 0.987316i \(0.550752\pi\)
\(660\) 9.64339 9.13470i 0.375368 0.355568i
\(661\) −6.32086 2.92434i −0.245853 0.113744i 0.293093 0.956084i \(-0.405315\pi\)
−0.538946 + 0.842340i \(0.681177\pi\)
\(662\) 4.71983 0.513312i 0.183441 0.0199504i
\(663\) 0.479501 0.161563i 0.0186223 0.00627458i
\(664\) −0.182283 0.457495i −0.00707394 0.0177543i
\(665\) 54.2046 + 51.3454i 2.10197 + 1.99109i
\(666\) 0.263378 + 0.948601i 0.0102057 + 0.0367575i
\(667\) 32.4178 + 61.1464i 1.25522 + 2.36760i
\(668\) −4.52396 + 3.43902i −0.175037 + 0.133060i
\(669\) −0.0497050 0.916755i −0.00192171 0.0354438i
\(670\) −2.06685 0.696402i −0.0798493 0.0269044i
\(671\) −27.5916 6.07338i −1.06516 0.234460i
\(672\) −1.79245 + 3.38093i −0.0691454 + 0.130422i
\(673\) −4.70967 28.7277i −0.181545 1.10737i −0.907631 0.419769i \(-0.862111\pi\)
0.726086 0.687604i \(-0.241337\pi\)
\(674\) −16.6339 + 19.5830i −0.640716 + 0.754309i
\(675\) −8.28217 9.75052i −0.318781 0.375298i
\(676\) 2.09909 12.8039i 0.0807342 0.492457i
\(677\) −19.7068 14.9807i −0.757392 0.575755i 0.153622 0.988130i \(-0.450906\pi\)
−0.911014 + 0.412375i \(0.864699\pi\)
\(678\) −3.58342 + 5.28515i −0.137620 + 0.202975i
\(679\) 11.0278 16.2647i 0.423207 0.624184i
\(680\) 10.7047 + 8.13752i 0.410508 + 0.312060i
\(681\) −3.21005 + 19.5804i −0.123009 + 0.750323i
\(682\) 17.4893 + 20.5900i 0.669701 + 0.788434i
\(683\) −9.38596 + 11.0500i −0.359144 + 0.422817i −0.911827 0.410575i \(-0.865328\pi\)
0.552683 + 0.833391i \(0.313604\pi\)
\(684\) −0.748311 4.56449i −0.0286124 0.174528i
\(685\) −33.5463 + 63.2750i −1.28174 + 2.41762i
\(686\) 2.40508 + 0.529398i 0.0918263 + 0.0202125i
\(687\) 4.55290 + 1.53405i 0.173704 + 0.0585277i
\(688\) −0.214080 3.94848i −0.00816173 0.150534i
\(689\) 0.312930 0.237883i 0.0119217 0.00906264i
\(690\) 13.4425 + 25.3553i 0.511748 + 0.965259i
\(691\) 3.12850 + 11.2678i 0.119014 + 0.428648i 0.998918 0.0465022i \(-0.0148074\pi\)
−0.879905 + 0.475150i \(0.842394\pi\)
\(692\) −11.1511 10.5629i −0.423901 0.401541i
\(693\) 4.46021 + 11.1943i 0.169429 + 0.425236i
\(694\) 22.4962 7.57984i 0.853943 0.287727i
\(695\) 97.9166 10.6491i 3.71419 0.403942i
\(696\) −9.23237 4.27135i −0.349952 0.161905i
\(697\) −6.97480 + 6.60688i −0.264189 + 0.250254i
\(698\) −4.22026 2.53925i −0.159739 0.0961120i
\(699\) 3.12981 + 0.340387i 0.118380 + 0.0128746i
\(700\) 47.8112 10.5240i 1.80709 0.397771i
\(701\) −5.39057 + 19.4151i −0.203599 + 0.733298i 0.789266 + 0.614052i \(0.210461\pi\)
−0.992865 + 0.119246i \(0.961952\pi\)
\(702\) −0.136008 + 0.0818333i −0.00513329 + 0.00308860i
\(703\) 4.13279 1.91203i 0.155871 0.0721137i
\(704\) 1.16555 2.92532i 0.0439284 0.110252i
\(705\) −0.953485 + 17.5860i −0.0359103 + 0.662327i
\(706\) −13.5644 20.0060i −0.510504 0.752937i
\(707\) −62.2729 −2.34201
\(708\) 3.67897 + 6.74279i 0.138264 + 0.253409i
\(709\) −6.54222 −0.245698 −0.122849 0.992425i \(-0.539203\pi\)
−0.122849 + 0.992425i \(0.539203\pi\)
\(710\) 24.5048 + 36.1419i 0.919650 + 1.35638i
\(711\) 0.855561 15.7799i 0.0320860 0.591792i
\(712\) 3.42050 8.58480i 0.128189 0.321729i
\(713\) −52.9728 + 24.5078i −1.98385 + 0.917825i
\(714\) −10.4524 + 6.28900i −0.391171 + 0.235360i
\(715\) −0.564055 + 2.03154i −0.0210945 + 0.0759754i
\(716\) 6.68859 1.47227i 0.249964 0.0550213i
\(717\) 17.0350 + 1.85267i 0.636185 + 0.0691893i
\(718\) −13.3975 8.06102i −0.499991 0.300834i
\(719\) 36.0457 34.1443i 1.34428 1.27337i 0.412210 0.911089i \(-0.364757\pi\)
0.932069 0.362280i \(-0.118002\pi\)
\(720\) −3.82834 1.77118i −0.142674 0.0660079i
\(721\) −10.5747 + 1.15007i −0.393823 + 0.0428308i
\(722\) −2.26922 + 0.764590i −0.0844517 + 0.0284551i
\(723\) −0.285174 0.715733i −0.0106057 0.0266184i
\(724\) −11.8078 11.1849i −0.438832 0.415684i
\(725\) 34.8162 + 125.397i 1.29304 + 4.65711i
\(726\) 0.507756 + 0.957730i 0.0188446 + 0.0355447i
\(727\) 41.5818 31.6097i 1.54218 1.17234i 0.620621 0.784110i \(-0.286880\pi\)
0.921563 0.388228i \(-0.126913\pi\)
\(728\) −0.0328843 0.606516i −0.00121877 0.0224790i
\(729\) −0.947653 0.319302i −0.0350983 0.0118260i
\(730\) −10.2149 2.24847i −0.378071 0.0832197i
\(731\) 5.90441 11.1369i 0.218382 0.411913i
\(732\) 1.45149 + 8.85369i 0.0536485 + 0.327242i
\(733\) −20.6431 + 24.3029i −0.762470 + 0.897649i −0.997228 0.0744047i \(-0.976294\pi\)
0.234758 + 0.972054i \(0.424570\pi\)
\(734\) −8.03572 9.46038i −0.296604 0.349189i
\(735\) −5.21618 + 31.8173i −0.192402 + 1.17360i
\(736\) 5.41617 + 4.11726i 0.199643 + 0.151764i
\(737\) −0.913708 + 1.34762i −0.0336569 + 0.0496402i
\(738\) 1.69130 2.49448i 0.0622577 0.0918232i
\(739\) 24.5437 + 18.6576i 0.902853 + 0.686331i 0.949898 0.312561i \(-0.101187\pi\)
−0.0470441 + 0.998893i \(0.514980\pi\)
\(740\) 0.671842 4.09805i 0.0246974 0.150647i
\(741\) 0.475304 + 0.559571i 0.0174607 + 0.0205564i
\(742\) −6.13500 + 7.22268i −0.225223 + 0.265153i
\(743\) 0.508881 + 3.10403i 0.0186690 + 0.113876i 0.994517 0.104574i \(-0.0333481\pi\)
−0.975848 + 0.218450i \(0.929900\pi\)
\(744\) 4.01852 7.57974i 0.147326 0.277887i
\(745\) 6.76772 + 1.48969i 0.247950 + 0.0545779i
\(746\) −11.9730 4.03416i −0.438362 0.147701i
\(747\) 0.0266619 + 0.491750i 0.000975508 + 0.0179922i
\(748\) 7.99128 6.07481i 0.292190 0.222117i
\(749\) −15.3269 28.9096i −0.560033 1.05633i
\(750\) 8.79459 + 31.6753i 0.321133 + 1.15662i
\(751\) −12.1924 11.5492i −0.444906 0.421437i 0.432168 0.901793i \(-0.357749\pi\)
−0.877074 + 0.480356i \(0.840507\pi\)
\(752\) 1.54540 + 3.87866i 0.0563549 + 0.141440i
\(753\) −12.5387 + 4.22477i −0.456935 + 0.153959i
\(754\) 1.60522 0.174578i 0.0584585 0.00635775i
\(755\) −36.2266 16.7602i −1.31842 0.609966i
\(756\) 2.77816 2.63161i 0.101041 0.0957108i
\(757\) −18.5831 11.1811i −0.675413 0.406383i 0.136117 0.990693i \(-0.456538\pi\)
−0.811530 + 0.584310i \(0.801365\pi\)