Properties

Label 177.2.e.a.4.5
Level $177$
Weight $2$
Character 177.4
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 4.5
Character \(\chi\) \(=\) 177.4
Dual form 177.2.e.a.133.5

$q$-expansion

\(f(q)\) \(=\) \(q+(2.15319 + 0.234174i) q^{2} +(0.647386 - 0.762162i) q^{3} +(2.62816 + 0.578503i) q^{4} +(-1.34628 - 1.02342i) q^{5} +(1.57243 - 1.48948i) q^{6} +(-0.734379 + 1.84315i) q^{7} +(1.41845 + 0.477932i) q^{8} +(-0.161782 - 0.986827i) q^{9} +O(q^{10})\) \(q+(2.15319 + 0.234174i) q^{2} +(0.647386 - 0.762162i) q^{3} +(2.62816 + 0.578503i) q^{4} +(-1.34628 - 1.02342i) q^{5} +(1.57243 - 1.48948i) q^{6} +(-0.734379 + 1.84315i) q^{7} +(1.41845 + 0.477932i) q^{8} +(-0.161782 - 0.986827i) q^{9} +(-2.65915 - 2.51888i) q^{10} +(0.997895 - 0.461676i) q^{11} +(2.14235 - 1.62857i) q^{12} +(-0.907167 + 5.53347i) q^{13} +(-2.01288 + 3.79669i) q^{14} +(-1.65158 + 0.363540i) q^{15} +(-1.94244 - 0.898666i) q^{16} +(-0.674862 - 1.69377i) q^{17} +(-0.117259 - 2.16271i) q^{18} +(-1.30465 - 1.92422i) q^{19} +(-2.94621 - 3.46854i) q^{20} +(0.929353 + 1.75295i) q^{21} +(2.25677 - 0.760396i) q^{22} +(-0.198986 + 3.67009i) q^{23} +(1.28255 - 0.771683i) q^{24} +(-0.572546 - 2.06212i) q^{25} +(-3.24910 + 11.7022i) q^{26} +(-0.856857 - 0.515554i) q^{27} +(-2.99634 + 4.41926i) q^{28} +(8.77534 - 0.954376i) q^{29} +(-3.64130 + 0.396015i) q^{30} +(0.663059 - 0.977939i) q^{31} +(-6.53709 - 3.93324i) q^{32} +(0.294152 - 1.05944i) q^{33} +(-1.05647 - 3.80506i) q^{34} +(2.87500 - 1.72983i) q^{35} +(0.145692 - 2.68713i) q^{36} +(-3.77049 + 1.27043i) q^{37} +(-2.35857 - 4.44874i) q^{38} +(3.63012 + 4.27370i) q^{39} +(-1.42051 - 2.09510i) q^{40} +(-0.376397 - 6.94224i) q^{41} +(1.59058 + 3.99206i) q^{42} +(3.49435 + 1.61666i) q^{43} +(2.88971 - 0.636074i) q^{44} +(-0.792132 + 1.49412i) q^{45} +(-1.28790 + 7.85581i) q^{46} +(-0.973724 + 0.740206i) q^{47} +(-1.94244 + 0.898666i) q^{48} +(2.22407 + 2.10675i) q^{49} +(-0.749906 - 4.57423i) q^{50} +(-1.72783 - 0.582173i) q^{51} +(-5.58531 + 14.0181i) q^{52} +(3.09879 - 2.93533i) q^{53} +(-1.72425 - 1.31074i) q^{54} +(-1.81594 - 0.399718i) q^{55} +(-1.92258 + 2.26344i) q^{56} +(-2.31118 - 0.251356i) q^{57} +19.1185 q^{58} +(4.82651 - 5.97535i) q^{59} -4.55093 q^{60} +(-13.9301 - 1.51499i) q^{61} +(1.65670 - 1.95042i) q^{62} +(1.93768 + 0.426516i) q^{63} +(-9.74689 - 7.40939i) q^{64} +(6.88437 - 6.52122i) q^{65} +(0.881460 - 2.21230i) q^{66} +(3.85323 + 1.29830i) q^{67} +(-0.793794 - 4.84193i) q^{68} +(2.66838 + 2.52762i) q^{69} +(6.59551 - 3.05141i) q^{70} +(11.1822 - 8.50048i) q^{71} +(0.242156 - 1.47709i) q^{72} +(-5.01646 + 9.46205i) q^{73} +(-8.41610 + 1.85252i) q^{74} +(-1.94233 - 0.898618i) q^{75} +(-2.31568 - 5.81192i) q^{76} +(0.118105 + 2.17832i) q^{77} +(6.81555 + 10.0522i) q^{78} +(9.88054 + 11.6323i) q^{79} +(1.69536 + 3.19779i) q^{80} +(-0.947653 + 0.319302i) q^{81} +(0.815235 - 15.0361i) q^{82} +(-11.0135 + 6.62660i) q^{83} +(1.42841 + 5.14466i) q^{84} +(-0.824886 + 2.97097i) q^{85} +(7.14544 + 4.29927i) q^{86} +(4.95365 - 7.30608i) q^{87} +(1.63612 - 0.177938i) q^{88} +(-11.1745 + 1.21530i) q^{89} +(-2.05550 + 3.03163i) q^{90} +(-9.53283 - 5.73571i) q^{91} +(-2.64612 + 9.53048i) q^{92} +(-0.316093 - 1.13846i) q^{93} +(-2.26995 + 1.36579i) q^{94} +(-0.212848 + 3.92576i) q^{95} +(-7.22979 + 2.43600i) q^{96} +(-1.29489 - 2.44242i) q^{97} +(4.29551 + 5.05707i) q^{98} +(-0.617035 - 0.910059i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + O(q^{10}) \) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + 88q^{10} - 14q^{11} - 9q^{12} - 12q^{13} - q^{14} - 2q^{15} - 41q^{16} - 16q^{17} - q^{18} - 10q^{19} - 32q^{20} + 27q^{21} - 26q^{22} - 22q^{23} - 9q^{24} + 27q^{25} - 56q^{26} - 5q^{27} - 50q^{28} - 24q^{29} - 28q^{30} - 24q^{31} + 106q^{32} - 14q^{33} - 54q^{34} - 70q^{35} - 9q^{36} - 28q^{37} - 80q^{38} - 12q^{39} - 50q^{40} - 40q^{41} - 30q^{42} + 4q^{43} - 104q^{44} - 2q^{45} - 28q^{46} + 31q^{47} - 41q^{48} - q^{49} + 39q^{50} - 16q^{51} + 62q^{52} + 4q^{53} - q^{54} + 5q^{55} + 96q^{56} - 10q^{57} + 128q^{58} - q^{59} - 32q^{60} - 16q^{61} + 223q^{62} - 2q^{63} + 97q^{64} + 121q^{65} - 26q^{66} - 12q^{67} + 10q^{68} + 36q^{69} - 2q^{70} - 22q^{71} - 9q^{72} + 179q^{73} - 38q^{74} - 31q^{75} + 112q^{76} - 62q^{77} - 56q^{78} - 84q^{79} + 204q^{80} - 5q^{81} - 152q^{82} - 88q^{83} + 95q^{84} - 118q^{85} - 118q^{86} + 34q^{87} + 18q^{88} - 86q^{89} - 28q^{90} + 78q^{91} - 174q^{92} - 24q^{93} - 164q^{94} + 218q^{95} - 39q^{96} - 84q^{97} + 129q^{98} - 14q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.15319 + 0.234174i 1.52254 + 0.165586i 0.830803 0.556566i \(-0.187881\pi\)
0.691734 + 0.722152i \(0.256847\pi\)
\(3\) 0.647386 0.762162i 0.373769 0.440034i
\(4\) 2.62816 + 0.578503i 1.31408 + 0.289251i
\(5\) −1.34628 1.02342i −0.602077 0.457687i 0.259200 0.965824i \(-0.416541\pi\)
−0.861276 + 0.508137i \(0.830334\pi\)
\(6\) 1.57243 1.48948i 0.641940 0.608078i
\(7\) −0.734379 + 1.84315i −0.277569 + 0.696646i 0.722418 + 0.691457i \(0.243031\pi\)
−0.999987 + 0.00518862i \(0.998348\pi\)
\(8\) 1.41845 + 0.477932i 0.501498 + 0.168974i
\(9\) −0.161782 0.986827i −0.0539273 0.328942i
\(10\) −2.65915 2.51888i −0.840898 0.796541i
\(11\) 0.997895 0.461676i 0.300877 0.139200i −0.263642 0.964621i \(-0.584924\pi\)
0.564519 + 0.825420i \(0.309062\pi\)
\(12\) 2.14235 1.62857i 0.618443 0.470128i
\(13\) −0.907167 + 5.53347i −0.251603 + 1.53471i 0.494677 + 0.869077i \(0.335286\pi\)
−0.746280 + 0.665633i \(0.768162\pi\)
\(14\) −2.01288 + 3.79669i −0.537964 + 1.01471i
\(15\) −1.65158 + 0.363540i −0.426435 + 0.0938655i
\(16\) −1.94244 0.898666i −0.485609 0.224667i
\(17\) −0.674862 1.69377i −0.163678 0.410801i 0.824146 0.566378i \(-0.191656\pi\)
−0.987824 + 0.155577i \(0.950276\pi\)
\(18\) −0.117259 2.16271i −0.0276382 0.509757i
\(19\) −1.30465 1.92422i −0.299308 0.441447i 0.648061 0.761588i \(-0.275580\pi\)
−0.947370 + 0.320141i \(0.896270\pi\)
\(20\) −2.94621 3.46854i −0.658792 0.775590i
\(21\) 0.929353 + 1.75295i 0.202802 + 0.382524i
\(22\) 2.25677 0.760396i 0.481146 0.162117i
\(23\) −0.198986 + 3.67009i −0.0414915 + 0.765266i 0.901567 + 0.432639i \(0.142418\pi\)
−0.943059 + 0.332627i \(0.892065\pi\)
\(24\) 1.28255 0.771683i 0.261799 0.157519i
\(25\) −0.572546 2.06212i −0.114509 0.412425i
\(26\) −3.24910 + 11.7022i −0.637201 + 2.29499i
\(27\) −0.856857 0.515554i −0.164902 0.0992184i
\(28\) −2.99634 + 4.41926i −0.566254 + 0.835163i
\(29\) 8.77534 0.954376i 1.62954 0.177223i 0.752821 0.658225i \(-0.228693\pi\)
0.876720 + 0.481002i \(0.159727\pi\)
\(30\) −3.64130 + 0.396015i −0.664807 + 0.0723021i
\(31\) 0.663059 0.977939i 0.119089 0.175643i −0.763472 0.645841i \(-0.776507\pi\)
0.882561 + 0.470198i \(0.155817\pi\)
\(32\) −6.53709 3.93324i −1.15561 0.695305i
\(33\) 0.294152 1.05944i 0.0512053 0.184425i
\(34\) −1.05647 3.80506i −0.181183 0.652562i
\(35\) 2.87500 1.72983i 0.485963 0.292395i
\(36\) 0.145692 2.68713i 0.0242820 0.447856i
\(37\) −3.77049 + 1.27043i −0.619865 + 0.208857i −0.611674 0.791110i \(-0.709504\pi\)
−0.00819045 + 0.999966i \(0.502607\pi\)
\(38\) −2.35857 4.44874i −0.382611 0.721681i
\(39\) 3.63012 + 4.27370i 0.581284 + 0.684340i
\(40\) −1.42051 2.09510i −0.224603 0.331265i
\(41\) −0.376397 6.94224i −0.0587834 1.08420i −0.867961 0.496632i \(-0.834570\pi\)
0.809178 0.587564i \(-0.199913\pi\)
\(42\) 1.59058 + 3.99206i 0.245432 + 0.615989i
\(43\) 3.49435 + 1.61666i 0.532884 + 0.246538i 0.667829 0.744315i \(-0.267224\pi\)
−0.134945 + 0.990853i \(0.543086\pi\)
\(44\) 2.88971 0.636074i 0.435641 0.0958918i
\(45\) −0.792132 + 1.49412i −0.118084 + 0.222730i
\(46\) −1.28790 + 7.85581i −0.189890 + 1.15828i
\(47\) −0.973724 + 0.740206i −0.142032 + 0.107970i −0.673778 0.738934i \(-0.735329\pi\)
0.531745 + 0.846904i \(0.321536\pi\)
\(48\) −1.94244 + 0.898666i −0.280366 + 0.129711i
\(49\) 2.22407 + 2.10675i 0.317725 + 0.300965i
\(50\) −0.749906 4.57423i −0.106053 0.646893i
\(51\) −1.72783 0.582173i −0.241944 0.0815205i
\(52\) −5.58531 + 14.0181i −0.774544 + 1.94396i
\(53\) 3.09879 2.93533i 0.425651 0.403198i −0.444661 0.895699i \(-0.646676\pi\)
0.870312 + 0.492501i \(0.163917\pi\)
\(54\) −1.72425 1.31074i −0.234641 0.178369i
\(55\) −1.81594 0.399718i −0.244861 0.0538980i
\(56\) −1.92258 + 2.26344i −0.256916 + 0.302465i
\(57\) −2.31118 0.251356i −0.306124 0.0332930i
\(58\) 19.1185 2.51038
\(59\) 4.82651 5.97535i 0.628357 0.777925i
\(60\) −4.55093 −0.587522
\(61\) −13.9301 1.51499i −1.78357 0.193975i −0.844003 0.536339i \(-0.819807\pi\)
−0.939567 + 0.342364i \(0.888772\pi\)
\(62\) 1.65670 1.95042i 0.210401 0.247704i
\(63\) 1.93768 + 0.426516i 0.244125 + 0.0537359i
\(64\) −9.74689 7.40939i −1.21836 0.926174i
\(65\) 6.88437 6.52122i 0.853901 0.808858i
\(66\) 0.881460 2.21230i 0.108500 0.272315i
\(67\) 3.85323 + 1.29830i 0.470747 + 0.158613i 0.544669 0.838651i \(-0.316655\pi\)
−0.0739225 + 0.997264i \(0.523552\pi\)
\(68\) −0.793794 4.84193i −0.0962616 0.587170i
\(69\) 2.66838 + 2.52762i 0.321235 + 0.304290i
\(70\) 6.59551 3.05141i 0.788314 0.364713i
\(71\) 11.1822 8.50048i 1.32708 1.00882i 0.329168 0.944271i \(-0.393232\pi\)
0.997914 0.0645505i \(-0.0205614\pi\)
\(72\) 0.242156 1.47709i 0.0285384 0.174076i
\(73\) −5.01646 + 9.46205i −0.587133 + 1.10745i 0.394898 + 0.918725i \(0.370780\pi\)
−0.982030 + 0.188724i \(0.939565\pi\)
\(74\) −8.41610 + 1.85252i −0.978351 + 0.215351i
\(75\) −1.94233 0.898618i −0.224281 0.103763i
\(76\) −2.31568 5.81192i −0.265627 0.666673i
\(77\) 0.118105 + 2.17832i 0.0134593 + 0.248242i
\(78\) 6.81555 + 10.0522i 0.771710 + 1.13819i
\(79\) 9.88054 + 11.6323i 1.11165 + 1.30873i 0.946587 + 0.322449i \(0.104506\pi\)
0.165061 + 0.986283i \(0.447218\pi\)
\(80\) 1.69536 + 3.19779i 0.189547 + 0.357523i
\(81\) −0.947653 + 0.319302i −0.105295 + 0.0354779i
\(82\) 0.815235 15.0361i 0.0900276 1.66046i
\(83\) −11.0135 + 6.62660i −1.20889 + 0.727364i −0.969863 0.243650i \(-0.921655\pi\)
−0.239025 + 0.971014i \(0.576828\pi\)
\(84\) 1.42841 + 5.14466i 0.155852 + 0.561329i
\(85\) −0.824886 + 2.97097i −0.0894714 + 0.322247i
\(86\) 7.14544 + 4.29927i 0.770513 + 0.463602i
\(87\) 4.95365 7.30608i 0.531087 0.783295i
\(88\) 1.63612 0.177938i 0.174411 0.0189683i
\(89\) −11.1745 + 1.21530i −1.18450 + 0.128822i −0.679088 0.734057i \(-0.737624\pi\)
−0.505410 + 0.862879i \(0.668659\pi\)
\(90\) −2.05550 + 3.03163i −0.216669 + 0.319562i
\(91\) −9.53283 5.73571i −0.999312 0.601266i
\(92\) −2.64612 + 9.53048i −0.275878 + 0.993621i
\(93\) −0.316093 1.13846i −0.0327773 0.118053i
\(94\) −2.26995 + 1.36579i −0.234128 + 0.140870i
\(95\) −0.212848 + 3.92576i −0.0218378 + 0.402774i
\(96\) −7.22979 + 2.43600i −0.737887 + 0.248623i
\(97\) −1.29489 2.44242i −0.131476 0.247990i 0.809030 0.587768i \(-0.199993\pi\)
−0.940506 + 0.339778i \(0.889648\pi\)
\(98\) 4.29551 + 5.05707i 0.433912 + 0.510841i
\(99\) −0.617035 0.910059i −0.0620144 0.0914644i
\(100\) −0.311800 5.75082i −0.0311800 0.575082i
\(101\) 3.02054 + 7.58098i 0.300555 + 0.754336i 0.999243 + 0.0389093i \(0.0123883\pi\)
−0.698688 + 0.715427i \(0.746232\pi\)
\(102\) −3.58402 1.65814i −0.354871 0.164181i
\(103\) 19.5267 4.29816i 1.92402 0.423510i 0.924970 0.380040i \(-0.124090\pi\)
0.999055 0.0434695i \(-0.0138411\pi\)
\(104\) −3.93140 + 7.41540i −0.385505 + 0.727140i
\(105\) 0.542824 3.31108i 0.0529742 0.323129i
\(106\) 7.35967 5.59467i 0.714834 0.543403i
\(107\) 2.56978 1.18891i 0.248430 0.114936i −0.291723 0.956503i \(-0.594228\pi\)
0.540153 + 0.841567i \(0.318366\pi\)
\(108\) −1.95371 1.85065i −0.187996 0.178079i
\(109\) −0.382026 2.33026i −0.0365915 0.223198i 0.962200 0.272343i \(-0.0877986\pi\)
−0.998792 + 0.0491451i \(0.984350\pi\)
\(110\) −3.81646 1.28592i −0.363886 0.122607i
\(111\) −1.47269 + 3.69618i −0.139782 + 0.350826i
\(112\) 3.08286 2.92024i 0.291303 0.275937i
\(113\) 3.14613 + 2.39162i 0.295963 + 0.224985i 0.742608 0.669726i \(-0.233588\pi\)
−0.446646 + 0.894711i \(0.647382\pi\)
\(114\) −4.91757 1.08244i −0.460572 0.101380i
\(115\) 4.02393 4.73734i 0.375233 0.441759i
\(116\) 23.6152 + 2.56830i 2.19261 + 0.238461i
\(117\) 5.60734 0.518399
\(118\) 11.7917 11.7359i 1.08551 1.08037i
\(119\) 3.61749 0.331615
\(120\) −2.51643 0.273678i −0.229717 0.0249833i
\(121\) −6.33860 + 7.46237i −0.576236 + 0.678398i
\(122\) −29.6395 6.52414i −2.68343 0.590668i
\(123\) −5.53478 4.20743i −0.499055 0.379372i
\(124\) 2.30837 2.18660i 0.207298 0.196363i
\(125\) −4.46934 + 11.2172i −0.399750 + 1.00330i
\(126\) 4.07232 + 1.37212i 0.362791 + 0.122239i
\(127\) −0.204070 1.24477i −0.0181083 0.110456i 0.976226 0.216756i \(-0.0695477\pi\)
−0.994334 + 0.106301i \(0.966099\pi\)
\(128\) −8.17440 7.74320i −0.722522 0.684409i
\(129\) 3.49435 1.61666i 0.307661 0.142339i
\(130\) 16.3505 12.4293i 1.43403 1.09012i
\(131\) −0.241423 + 1.47261i −0.0210932 + 0.128663i −0.995274 0.0971064i \(-0.969041\pi\)
0.974181 + 0.225769i \(0.0724895\pi\)
\(132\) 1.38597 2.61422i 0.120633 0.227538i
\(133\) 4.50474 0.991569i 0.390611 0.0859799i
\(134\) 7.99272 + 3.69782i 0.690466 + 0.319443i
\(135\) 0.625946 + 1.57101i 0.0538729 + 0.135211i
\(136\) −0.147749 2.72508i −0.0126694 0.233673i
\(137\) −7.31310 10.7860i −0.624800 0.921511i 0.375185 0.926950i \(-0.377579\pi\)
−0.999985 + 0.00543884i \(0.998269\pi\)
\(138\) 5.15364 + 6.06733i 0.438707 + 0.516485i
\(139\) 3.22111 + 6.07566i 0.273211 + 0.515331i 0.981710 0.190381i \(-0.0609722\pi\)
−0.708499 + 0.705712i \(0.750627\pi\)
\(140\) 8.55668 2.88308i 0.723171 0.243665i
\(141\) −0.0662188 + 1.22133i −0.00557663 + 0.102855i
\(142\) 26.0680 15.6846i 2.18758 1.31622i
\(143\) 1.64941 + 5.94065i 0.137931 + 0.496782i
\(144\) −0.572577 + 2.06224i −0.0477147 + 0.171853i
\(145\) −12.7908 7.69599i −1.06222 0.639117i
\(146\) −13.0172 + 19.1989i −1.07731 + 1.58891i
\(147\) 3.04552 0.331221i 0.251190 0.0273186i
\(148\) −10.6444 + 1.15765i −0.874965 + 0.0951582i
\(149\) −2.95144 + 4.35304i −0.241791 + 0.356615i −0.929150 0.369703i \(-0.879460\pi\)
0.687359 + 0.726318i \(0.258770\pi\)
\(150\) −3.97178 2.38974i −0.324295 0.195122i
\(151\) 4.36753 15.7304i 0.355424 1.28012i −0.542531 0.840036i \(-0.682534\pi\)
0.897955 0.440087i \(-0.145052\pi\)
\(152\) −0.930942 3.35295i −0.0755094 0.271960i
\(153\) −1.56228 + 0.939994i −0.126303 + 0.0759940i
\(154\) −0.255802 + 4.71800i −0.0206131 + 0.380187i
\(155\) −1.89351 + 0.637997i −0.152090 + 0.0512452i
\(156\) 7.06819 + 13.3320i 0.565908 + 1.06742i
\(157\) −11.6950 13.7685i −0.933365 1.09884i −0.994913 0.100739i \(-0.967879\pi\)
0.0615475 0.998104i \(-0.480396\pi\)
\(158\) 18.5507 + 27.3603i 1.47582 + 2.17667i
\(159\) −0.231083 4.26207i −0.0183261 0.338004i
\(160\) 4.77544 + 11.9854i 0.377531 + 0.947532i
\(161\) −6.61840 3.06200i −0.521603 0.241319i
\(162\) −2.11525 + 0.465602i −0.166190 + 0.0365812i
\(163\) −9.30824 + 17.5572i −0.729078 + 1.37519i 0.190266 + 0.981733i \(0.439065\pi\)
−0.919344 + 0.393454i \(0.871280\pi\)
\(164\) 3.02687 18.4631i 0.236359 1.44172i
\(165\) −1.48026 + 1.12527i −0.115238 + 0.0876019i
\(166\) −25.2660 + 11.6893i −1.96102 + 0.907264i
\(167\) 7.60060 + 7.19967i 0.588152 + 0.557127i 0.922831 0.385205i \(-0.125869\pi\)
−0.334679 + 0.942332i \(0.608628\pi\)
\(168\) 0.480454 + 2.93064i 0.0370678 + 0.226104i
\(169\) −17.4769 5.88865i −1.34438 0.452973i
\(170\) −2.47186 + 6.20391i −0.189583 + 0.475818i
\(171\) −1.68780 + 1.59877i −0.129070 + 0.122261i
\(172\) 8.24850 + 6.27034i 0.628942 + 0.478109i
\(173\) −19.9528 4.39195i −1.51699 0.333914i −0.623077 0.782161i \(-0.714118\pi\)
−0.893910 + 0.448247i \(0.852049\pi\)
\(174\) 12.3771 14.5714i 0.938302 1.10466i
\(175\) 4.22127 + 0.459091i 0.319098 + 0.0347040i
\(176\) −2.35324 −0.177382
\(177\) −1.42957 7.54694i −0.107453 0.567263i
\(178\) −24.3455 −1.82477
\(179\) −17.9833 1.95581i −1.34414 0.146184i −0.592399 0.805645i \(-0.701819\pi\)
−0.751739 + 0.659461i \(0.770784\pi\)
\(180\) −2.94621 + 3.46854i −0.219597 + 0.258530i
\(181\) −14.7062 3.23707i −1.09310 0.240610i −0.368396 0.929669i \(-0.620093\pi\)
−0.724705 + 0.689059i \(0.758024\pi\)
\(182\) −19.1829 14.5824i −1.42193 1.08092i
\(183\) −10.1728 + 9.63623i −0.751998 + 0.712330i
\(184\) −2.03630 + 5.11074i −0.150118 + 0.376769i
\(185\) 6.37633 + 2.14844i 0.468797 + 0.157956i
\(186\) −0.414010 2.52535i −0.0303567 0.185168i
\(187\) −1.45542 1.37864i −0.106431 0.100816i
\(188\) −2.98732 + 1.38208i −0.217873 + 0.100799i
\(189\) 1.57950 1.20071i 0.114892 0.0873385i
\(190\) −1.37761 + 8.40307i −0.0999426 + 0.609623i
\(191\) −2.71884 + 5.12828i −0.196728 + 0.371069i −0.962176 0.272429i \(-0.912173\pi\)
0.765447 + 0.643498i \(0.222518\pi\)
\(192\) −11.9572 + 2.63197i −0.862934 + 0.189946i
\(193\) 18.0266 + 8.34001i 1.29758 + 0.600327i 0.942406 0.334472i \(-0.108558\pi\)
0.355179 + 0.934798i \(0.384420\pi\)
\(194\) −2.21619 5.56223i −0.159113 0.399345i
\(195\) −0.513381 9.46875i −0.0367640 0.678071i
\(196\) 4.62647 + 6.82353i 0.330462 + 0.487395i
\(197\) −10.7643 12.6727i −0.766924 0.902892i 0.230613 0.973046i \(-0.425927\pi\)
−0.997536 + 0.0701534i \(0.977651\pi\)
\(198\) −1.11548 2.10403i −0.0792740 0.149527i
\(199\) −14.1950 + 4.78284i −1.00625 + 0.339046i −0.773710 0.633540i \(-0.781601\pi\)
−0.232543 + 0.972586i \(0.574705\pi\)
\(200\) 0.173426 3.19866i 0.0122631 0.226179i
\(201\) 3.48404 2.09628i 0.245746 0.147860i
\(202\) 4.72854 + 17.0307i 0.332699 + 1.19827i
\(203\) −4.68537 + 16.8752i −0.328848 + 1.18440i
\(204\) −4.20423 2.52960i −0.294355 0.177107i
\(205\) −6.59808 + 9.73144i −0.460830 + 0.679673i
\(206\) 43.0513 4.68211i 2.99953 0.326218i
\(207\) 3.65393 0.397389i 0.253966 0.0276205i
\(208\) 6.73486 9.93318i 0.466979 0.688742i
\(209\) −2.19028 1.31784i −0.151505 0.0911572i
\(210\) 1.94418 7.00229i 0.134161 0.483204i
\(211\) 4.69198 + 16.8990i 0.323009 + 1.16337i 0.929664 + 0.368409i \(0.120097\pi\)
−0.606654 + 0.794966i \(0.707489\pi\)
\(212\) 9.84222 5.92187i 0.675966 0.406716i
\(213\) 0.760454 14.0257i 0.0521054 0.961028i
\(214\) 5.81165 1.95817i 0.397276 0.133858i
\(215\) −3.04987 5.75267i −0.208000 0.392329i
\(216\) −0.969011 1.14081i −0.0659328 0.0776221i
\(217\) 1.31555 + 1.94030i 0.0893056 + 0.131716i
\(218\) −0.276891 5.10695i −0.0187534 0.345886i
\(219\) 3.96403 + 9.94896i 0.267864 + 0.672288i
\(220\) −4.54135 2.10105i −0.306178 0.141653i
\(221\) 9.98467 2.19779i 0.671642 0.147840i
\(222\) −4.03654 + 7.61373i −0.270915 + 0.511000i
\(223\) 1.24169 7.57400i 0.0831500 0.507192i −0.912110 0.409945i \(-0.865548\pi\)
0.995260 0.0972474i \(-0.0310038\pi\)
\(224\) 12.0503 9.16036i 0.805141 0.612052i
\(225\) −1.94233 + 0.898618i −0.129489 + 0.0599079i
\(226\) 6.21417 + 5.88637i 0.413360 + 0.391556i
\(227\) −1.66828 10.1761i −0.110728 0.675409i −0.982608 0.185690i \(-0.940548\pi\)
0.871881 0.489718i \(-0.162900\pi\)
\(228\) −5.92876 1.99763i −0.392642 0.132296i
\(229\) 2.38665 5.99004i 0.157714 0.395833i −0.828792 0.559557i \(-0.810971\pi\)
0.986506 + 0.163724i \(0.0523507\pi\)
\(230\) 9.77366 9.25810i 0.644456 0.610461i
\(231\) 1.73669 + 1.32020i 0.114266 + 0.0868626i
\(232\) 12.9035 + 2.84028i 0.847158 + 0.186474i
\(233\) 4.46166 5.25267i 0.292293 0.344114i −0.596341 0.802731i \(-0.703379\pi\)
0.888634 + 0.458617i \(0.151655\pi\)
\(234\) 12.0737 + 1.31309i 0.789282 + 0.0858396i
\(235\) 2.06845 0.134931
\(236\) 16.1416 12.9121i 1.05073 0.840504i
\(237\) 15.2622 0.991387
\(238\) 7.78915 + 0.847121i 0.504896 + 0.0549107i
\(239\) −6.52030 + 7.67629i −0.421763 + 0.496538i −0.931474 0.363808i \(-0.881476\pi\)
0.509711 + 0.860346i \(0.329752\pi\)
\(240\) 3.53478 + 0.778065i 0.228169 + 0.0502239i
\(241\) 5.87919 + 4.46924i 0.378712 + 0.287889i 0.777162 0.629301i \(-0.216659\pi\)
−0.398450 + 0.917190i \(0.630452\pi\)
\(242\) −15.3957 + 14.5836i −0.989675 + 0.937470i
\(243\) −0.370138 + 0.928977i −0.0237444 + 0.0595939i
\(244\) −35.7342 12.0403i −2.28765 0.770799i
\(245\) −0.838144 5.11245i −0.0535470 0.326622i
\(246\) −10.9322 10.3555i −0.697011 0.660244i
\(247\) 11.8312 5.47368i 0.752799 0.348282i
\(248\) 1.40791 1.07026i 0.0894021 0.0679617i
\(249\) −2.07944 + 12.6840i −0.131779 + 0.803818i
\(250\) −12.2501 + 23.1062i −0.774766 + 1.46136i
\(251\) 4.80385 1.05741i 0.303216 0.0667429i −0.0607564 0.998153i \(-0.519351\pi\)
0.363972 + 0.931410i \(0.381420\pi\)
\(252\) 4.84580 + 2.24191i 0.305257 + 0.141227i
\(253\) 1.49582 + 3.75423i 0.0940416 + 0.236026i
\(254\) −0.147909 2.72803i −0.00928066 0.171172i
\(255\) 1.73034 + 2.55206i 0.108358 + 0.159816i
\(256\) 0.0646169 + 0.0760729i 0.00403856 + 0.00475455i
\(257\) −9.85362 18.5859i −0.614652 1.15936i −0.974084 0.226186i \(-0.927374\pi\)
0.359432 0.933171i \(-0.382970\pi\)
\(258\) 7.90260 2.66270i 0.491995 0.165772i
\(259\) 0.427380 7.88256i 0.0265561 0.489798i
\(260\) 21.8658 13.1562i 1.35606 0.815914i
\(261\) −2.36150 8.50534i −0.146173 0.526467i
\(262\) −0.864678 + 3.11429i −0.0534200 + 0.192401i
\(263\) 16.1501 + 9.71716i 0.995855 + 0.599186i 0.917498 0.397739i \(-0.130205\pi\)
0.0783564 + 0.996925i \(0.475033\pi\)
\(264\) 0.923581 1.36218i 0.0568425 0.0838364i
\(265\) −7.17592 + 0.780428i −0.440813 + 0.0479413i
\(266\) 9.93178 1.08015i 0.608957 0.0662280i
\(267\) −6.30798 + 9.30358i −0.386042 + 0.569370i
\(268\) 9.37584 + 5.64126i 0.572721 + 0.344595i
\(269\) −4.90910 + 17.6810i −0.299313 + 1.07803i 0.649025 + 0.760767i \(0.275177\pi\)
−0.948338 + 0.317261i \(0.897237\pi\)
\(270\) 0.979894 + 3.52926i 0.0596345 + 0.214784i
\(271\) 19.5194 11.7445i 1.18572 0.713425i 0.220635 0.975357i \(-0.429187\pi\)
0.965086 + 0.261932i \(0.0843596\pi\)
\(272\) −0.211263 + 3.89652i −0.0128097 + 0.236261i
\(273\) −10.5430 + 3.55234i −0.638089 + 0.214997i
\(274\) −13.2207 24.9369i −0.798692 1.50649i
\(275\) −1.52337 1.79345i −0.0918629 0.108149i
\(276\) 5.55071 + 8.18668i 0.334113 + 0.492780i
\(277\) 0.832594 + 15.3563i 0.0500257 + 0.922670i 0.910586 + 0.413321i \(0.135631\pi\)
−0.860560 + 0.509349i \(0.829886\pi\)
\(278\) 5.51292 + 13.8364i 0.330643 + 0.829851i
\(279\) −1.07233 0.496111i −0.0641986 0.0297014i
\(280\) 4.90479 1.07963i 0.293117 0.0645199i
\(281\) 7.92783 14.9535i 0.472935 0.892049i −0.526196 0.850363i \(-0.676382\pi\)
0.999131 0.0416861i \(-0.0132729\pi\)
\(282\) −0.428587 + 2.61426i −0.0255220 + 0.155677i
\(283\) 4.80173 3.65018i 0.285433 0.216981i −0.452654 0.891686i \(-0.649523\pi\)
0.738087 + 0.674706i \(0.235729\pi\)
\(284\) 34.3062 15.8717i 2.03570 0.941814i
\(285\) 2.85427 + 2.70371i 0.169072 + 0.160154i
\(286\) 2.16036 + 13.1776i 0.127745 + 0.779208i
\(287\) 13.0720 + 4.40447i 0.771616 + 0.259988i
\(288\) −2.82384 + 7.08730i −0.166396 + 0.417623i
\(289\) 9.92849 9.40476i 0.584029 0.553221i
\(290\) −25.7390 19.5662i −1.51144 1.14897i
\(291\) −2.69981 0.594273i −0.158266 0.0348369i
\(292\) −18.6579 + 21.9658i −1.09187 + 1.28545i
\(293\) 19.0897 + 2.07613i 1.11523 + 0.121289i 0.647126 0.762383i \(-0.275971\pi\)
0.468106 + 0.883672i \(0.344936\pi\)
\(294\) 6.63516 0.386971
\(295\) −12.6131 + 3.10499i −0.734365 + 0.180779i
\(296\) −5.95543 −0.346153
\(297\) −1.09307 0.118879i −0.0634265 0.00689805i
\(298\) −7.37438 + 8.68179i −0.427186 + 0.502923i
\(299\) −20.1278 4.43047i −1.16402 0.256221i
\(300\) −4.58491 3.48536i −0.264710 0.201227i
\(301\) −5.54593 + 5.25338i −0.319662 + 0.302800i
\(302\) 13.0878 32.8479i 0.753118 1.89018i
\(303\) 7.73339 + 2.60568i 0.444272 + 0.149693i
\(304\) 0.804974 + 4.91013i 0.0461684 + 0.281615i
\(305\) 17.2034 + 16.2960i 0.985066 + 0.933104i
\(306\) −3.58402 + 1.65814i −0.204885 + 0.0947897i
\(307\) 23.3317 17.7363i 1.33161 1.01226i 0.334044 0.942557i \(-0.391587\pi\)
0.997567 0.0697075i \(-0.0222066\pi\)
\(308\) −0.949763 + 5.79330i −0.0541178 + 0.330104i
\(309\) 9.36544 17.6651i 0.532781 1.00493i
\(310\) −4.22649 + 0.930321i −0.240049 + 0.0528387i
\(311\) 29.2285 + 13.5226i 1.65740 + 0.766794i 0.999911 + 0.0133288i \(0.00424281\pi\)
0.657487 + 0.753465i \(0.271619\pi\)
\(312\) 3.10660 + 7.79699i 0.175877 + 0.441418i
\(313\) −0.121909 2.24848i −0.00689069 0.127091i −0.999955 0.00951651i \(-0.996971\pi\)
0.993064 0.117575i \(-0.0375120\pi\)
\(314\) −21.9575 32.3848i −1.23913 1.82758i
\(315\) −2.17216 2.55727i −0.122388 0.144086i
\(316\) 19.2384 + 36.2874i 1.08224 + 2.04133i
\(317\) −11.5959 + 3.90712i −0.651292 + 0.219446i −0.625503 0.780222i \(-0.715106\pi\)
−0.0257888 + 0.999667i \(0.508210\pi\)
\(318\) 0.500500 9.23118i 0.0280666 0.517659i
\(319\) 8.31626 5.00373i 0.465621 0.280155i
\(320\) 5.53917 + 19.9503i 0.309649 + 1.11526i
\(321\) 0.757502 2.72827i 0.0422796 0.152277i
\(322\) −13.5336 8.14293i −0.754201 0.453788i
\(323\) −2.37874 + 3.50837i −0.132356 + 0.195211i
\(324\) −2.67531 + 0.290957i −0.148628 + 0.0161643i
\(325\) 11.9301 1.29748i 0.661763 0.0719711i
\(326\) −24.1539 + 35.6243i −1.33776 + 1.97305i
\(327\) −2.02335 1.21741i −0.111892 0.0673229i
\(328\) 2.78402 10.0271i 0.153722 0.553655i
\(329\) −0.649229 2.33831i −0.0357932 0.128915i
\(330\) −3.45080 + 2.07628i −0.189960 + 0.114295i
\(331\) 1.72432 31.8033i 0.0947774 1.74807i −0.435452 0.900212i \(-0.643411\pi\)
0.530229 0.847854i \(-0.322106\pi\)
\(332\) −32.7788 + 11.0445i −1.79897 + 0.606143i
\(333\) 1.86369 + 3.51529i 0.102129 + 0.192637i
\(334\) 14.6796 + 17.2822i 0.803232 + 0.945637i
\(335\) −3.85883 5.69135i −0.210831 0.310952i
\(336\) −0.229895 4.24016i −0.0125418 0.231320i
\(337\) 6.68459 + 16.7770i 0.364133 + 0.913904i 0.990888 + 0.134688i \(0.0430032\pi\)
−0.626755 + 0.779216i \(0.715617\pi\)
\(338\) −36.2522 16.7720i −1.97186 0.912279i
\(339\) 3.85957 0.849555i 0.209623 0.0461415i
\(340\) −3.88665 + 7.33100i −0.210783 + 0.397579i
\(341\) 0.210173 1.28200i 0.0113815 0.0694241i
\(342\) −4.00856 + 3.04723i −0.216758 + 0.164775i
\(343\) −18.1212 + 8.38376i −0.978453 + 0.452681i
\(344\) 4.18392 + 3.96322i 0.225582 + 0.213682i
\(345\) −1.00558 6.13377i −0.0541387 0.330231i
\(346\) −41.9339 14.1292i −2.25438 0.759588i
\(347\) −4.02787 + 10.1092i −0.216228 + 0.542690i −0.996579 0.0826516i \(-0.973661\pi\)
0.780351 + 0.625342i \(0.215040\pi\)
\(348\) 17.2456 16.3359i 0.924461 0.875696i
\(349\) 14.0146 + 10.6536i 0.750185 + 0.570276i 0.908883 0.417051i \(-0.136936\pi\)
−0.158698 + 0.987327i \(0.550730\pi\)
\(350\) 8.98171 + 1.97702i 0.480093 + 0.105676i
\(351\) 3.63012 4.27370i 0.193761 0.228113i
\(352\) −8.33921 0.906944i −0.444482 0.0483403i
\(353\) 28.6626 1.52556 0.762778 0.646661i \(-0.223835\pi\)
0.762778 + 0.646661i \(0.223835\pi\)
\(354\) −1.31085 16.5848i −0.0696711 0.881472i
\(355\) −23.7540 −1.26073
\(356\) −30.0716 3.27048i −1.59379 0.173335i
\(357\) 2.34191 2.75711i 0.123947 0.145922i
\(358\) −38.2636 8.42246i −2.02229 0.445141i
\(359\) −22.5825 17.1668i −1.19186 0.906028i −0.194664 0.980870i \(-0.562362\pi\)
−0.997195 + 0.0748425i \(0.976155\pi\)
\(360\) −1.83769 + 1.74075i −0.0968547 + 0.0917456i
\(361\) 5.03212 12.6297i 0.264848 0.664719i
\(362\) −30.9072 10.4138i −1.62445 0.547340i
\(363\) 1.58402 + 9.66208i 0.0831393 + 0.507128i
\(364\) −21.7357 20.5892i −1.13926 1.07917i
\(365\) 16.4372 7.60467i 0.860364 0.398047i
\(366\) −24.1607 + 18.3665i −1.26290 + 0.960030i
\(367\) −4.27991 + 26.1063i −0.223410 + 1.36274i 0.602132 + 0.798397i \(0.294318\pi\)
−0.825541 + 0.564342i \(0.809130\pi\)
\(368\) 3.68470 6.95009i 0.192078 0.362298i
\(369\) −6.78989 + 1.49457i −0.353468 + 0.0778041i
\(370\) 13.2264 + 6.11917i 0.687606 + 0.318120i
\(371\) 3.13457 + 7.86718i 0.162739 + 0.408444i
\(372\) −0.172140 3.17493i −0.00892502 0.164612i
\(373\) −1.60604 2.36873i −0.0831574 0.122648i 0.783835 0.620969i \(-0.213261\pi\)
−0.866993 + 0.498321i \(0.833950\pi\)
\(374\) −2.81095 3.30931i −0.145351 0.171120i
\(375\) 5.65593 + 10.6682i 0.292071 + 0.550904i
\(376\) −1.73495 + 0.584572i −0.0894731 + 0.0301470i
\(377\) −2.67969 + 49.4239i −0.138011 + 2.54546i
\(378\) 3.68215 2.21547i 0.189389 0.113952i
\(379\) −4.04756 14.5780i −0.207909 0.748821i −0.991786 0.127905i \(-0.959175\pi\)
0.783877 0.620916i \(-0.213239\pi\)
\(380\) −2.83046 + 10.1944i −0.145200 + 0.522962i
\(381\) −1.08083 0.650315i −0.0553727 0.0333167i
\(382\) −7.05510 + 10.4055i −0.360970 + 0.532391i
\(383\) −21.6438 + 2.35391i −1.10595 + 0.120279i −0.642824 0.766014i \(-0.722237\pi\)
−0.463125 + 0.886293i \(0.653272\pi\)
\(384\) −11.1936 + 1.21737i −0.571219 + 0.0621239i
\(385\) 2.07033 3.05351i 0.105514 0.155621i
\(386\) 36.8618 + 22.1790i 1.87622 + 1.12888i
\(387\) 1.03004 3.70987i 0.0523599 0.188583i
\(388\) −1.99023 7.16817i −0.101039 0.363909i
\(389\) −8.95979 + 5.39093i −0.454279 + 0.273331i −0.724250 0.689538i \(-0.757814\pi\)
0.269970 + 0.962869i \(0.412986\pi\)
\(390\) 1.11193 20.5083i 0.0563046 1.03848i
\(391\) 6.35059 2.13976i 0.321163 0.108212i
\(392\) 2.14785 + 4.05128i 0.108483 + 0.204621i
\(393\) 0.966076 + 1.13735i 0.0487321 + 0.0573719i
\(394\) −20.2100 29.8075i −1.01816 1.50168i
\(395\) −1.39733 25.7723i −0.0703074 1.29674i
\(396\) −1.09520 2.74874i −0.0550358 0.138129i
\(397\) 21.8129 + 10.0917i 1.09476 + 0.506488i 0.882302 0.470683i \(-0.155992\pi\)
0.212454 + 0.977171i \(0.431854\pi\)
\(398\) −31.6845 + 6.97428i −1.58820 + 0.349589i
\(399\) 2.16057 4.07527i 0.108164 0.204019i
\(400\) −0.741028 + 4.52007i −0.0370514 + 0.226004i
\(401\) −22.2785 + 16.9356i −1.11253 + 0.845726i −0.989190 0.146638i \(-0.953155\pi\)
−0.123343 + 0.992364i \(0.539362\pi\)
\(402\) 7.99272 3.69782i 0.398641 0.184431i
\(403\) 4.80990 + 4.55618i 0.239598 + 0.226959i
\(404\) 3.55286 + 21.6715i 0.176761 + 1.07820i
\(405\) 1.60259 + 0.539975i 0.0796333 + 0.0268316i
\(406\) −14.0402 + 35.2383i −0.696805 + 1.74885i
\(407\) −3.17603 + 3.00850i −0.157430 + 0.149126i
\(408\) −2.17260 1.65157i −0.107560 0.0817648i
\(409\) 14.2612 + 3.13913i 0.705171 + 0.155220i 0.553057 0.833143i \(-0.313461\pi\)
0.152113 + 0.988363i \(0.451392\pi\)
\(410\) −16.4858 + 19.4086i −0.814175 + 0.958521i
\(411\) −12.9551 1.40895i −0.639027 0.0694984i
\(412\) 53.8059 2.65083
\(413\) 7.46900 + 13.2842i 0.367525 + 0.653670i
\(414\) 7.96068 0.391246
\(415\) 21.6091 + 2.35013i 1.06075 + 0.115363i
\(416\) 27.6947 32.6047i 1.35784 1.59858i
\(417\) 6.71594 + 1.47829i 0.328881 + 0.0723922i
\(418\) −4.40748 3.35048i −0.215577 0.163877i
\(419\) 24.1860 22.9102i 1.18156 1.11924i 0.191083 0.981574i \(-0.438800\pi\)
0.990479 0.137662i \(-0.0439587\pi\)
\(420\) 3.34210 8.38804i 0.163078 0.409295i
\(421\) −34.0025 11.4568i −1.65718 0.558369i −0.673640 0.739060i \(-0.735270\pi\)
−0.983540 + 0.180691i \(0.942167\pi\)
\(422\) 6.14544 + 37.4855i 0.299156 + 1.82477i
\(423\) 0.887986 + 0.841145i 0.0431753 + 0.0408978i
\(424\) 5.79837 2.68261i 0.281594 0.130279i
\(425\) −3.10638 + 2.36141i −0.150682 + 0.114545i
\(426\) 4.92187 30.0221i 0.238465 1.45457i
\(427\) 13.0223 24.5628i 0.630196 1.18867i
\(428\) 7.44160 1.63802i 0.359703 0.0791767i
\(429\) 5.59554 + 2.58877i 0.270155 + 0.124987i
\(430\) −5.21984 13.1008i −0.251723 0.631778i
\(431\) 0.00705019 + 0.130033i 0.000339596 + 0.00626348i 0.998698 0.0510069i \(-0.0162431\pi\)
−0.998359 + 0.0572704i \(0.981760\pi\)
\(432\) 1.20108 + 1.77146i 0.0577869 + 0.0852294i
\(433\) 8.55637 + 10.0733i 0.411193 + 0.484094i 0.928303 0.371825i \(-0.121268\pi\)
−0.517110 + 0.855919i \(0.672992\pi\)
\(434\) 2.37827 + 4.48590i 0.114161 + 0.215330i
\(435\) −14.1462 + 4.76641i −0.678259 + 0.228532i
\(436\) 0.344032 6.34530i 0.0164761 0.303885i
\(437\) 7.32167 4.40530i 0.350243 0.210734i
\(438\) 6.20553 + 22.3503i 0.296512 + 1.06794i
\(439\) 2.70622 9.74693i 0.129161 0.465196i −0.870474 0.492214i \(-0.836188\pi\)
0.999635 + 0.0270188i \(0.00860141\pi\)
\(440\) −2.38478 1.43488i −0.113690 0.0684050i
\(441\) 1.71919 2.53561i 0.0818660 0.120743i
\(442\) 22.0136 2.39412i 1.04708 0.113877i
\(443\) −4.81744 + 0.523928i −0.228883 + 0.0248926i −0.221842 0.975083i \(-0.571207\pi\)
−0.00704142 + 0.999975i \(0.502241\pi\)
\(444\) −6.00873 + 8.86221i −0.285162 + 0.420582i
\(445\) 16.2879 + 9.80008i 0.772119 + 0.464569i
\(446\) 4.44724 16.0175i 0.210583 0.758451i
\(447\) 1.40700 + 5.06757i 0.0665490 + 0.239688i
\(448\) 20.8145 12.5237i 0.983395 0.591689i
\(449\) 1.56734 28.9079i 0.0739675 1.36425i −0.692245 0.721663i \(-0.743378\pi\)
0.766212 0.642588i \(-0.222139\pi\)
\(450\) −4.39265 + 1.48006i −0.207071 + 0.0697705i
\(451\) −3.58067 6.75385i −0.168607 0.318027i
\(452\) 6.88498 + 8.10563i 0.323842 + 0.381257i
\(453\) −9.16165 13.5124i −0.430452 0.634869i
\(454\) −1.20916 22.3017i −0.0567488 1.04667i
\(455\) 6.96386 + 17.4780i 0.326471 + 0.819380i
\(456\) −3.15817 1.46113i −0.147895 0.0684235i
\(457\) −8.00111 + 1.76118i −0.374276 + 0.0823844i −0.398125 0.917331i \(-0.630339\pi\)
0.0238488 + 0.999716i \(0.492408\pi\)
\(458\) 6.54163 12.3388i 0.305670 0.576555i
\(459\) −0.294972 + 1.79925i −0.0137681 + 0.0839818i
\(460\) 13.3161 10.1226i 0.620867 0.471971i
\(461\) 13.6639 6.32160i 0.636392 0.294426i −0.0750407 0.997180i \(-0.523909\pi\)
0.711433 + 0.702754i \(0.248047\pi\)
\(462\) 3.43027 + 3.24933i 0.159591 + 0.151172i
\(463\) 2.73055 + 16.6556i 0.126899 + 0.774051i 0.971215 + 0.238205i \(0.0765591\pi\)
−0.844316 + 0.535846i \(0.819993\pi\)
\(464\) −17.9032 6.03229i −0.831136 0.280042i
\(465\) −0.739574 + 1.85619i −0.0342969 + 0.0860788i
\(466\) 10.8369 10.2652i 0.502008 0.475527i
\(467\) −10.8852 8.27472i −0.503707 0.382908i 0.322238 0.946659i \(-0.395565\pi\)
−0.825945 + 0.563750i \(0.809358\pi\)
\(468\) 14.7370 + 3.24386i 0.681219 + 0.149948i
\(469\) −5.22270 + 6.14864i −0.241162 + 0.283918i
\(470\) 4.45377 + 0.484377i 0.205437 + 0.0223426i
\(471\) −18.0650 −0.832391
\(472\) 9.70197 6.16901i 0.446570 0.283952i
\(473\) 4.23337 0.194651
\(474\) 32.8625 + 3.57401i 1.50942 + 0.164160i
\(475\) −3.22101 + 3.79206i −0.147790 + 0.173992i
\(476\) 9.50735 + 2.09273i 0.435769 + 0.0959200i
\(477\) −3.39799 2.58308i −0.155583 0.118271i
\(478\) −15.8371 + 15.0017i −0.724370 + 0.686160i
\(479\) −11.6774 + 29.3080i −0.533552 + 1.33911i 0.377189 + 0.926136i \(0.376891\pi\)
−0.910741 + 0.412978i \(0.864488\pi\)
\(480\) 12.2264 + 4.11955i 0.558056 + 0.188031i
\(481\) −3.60941 22.0164i −0.164575 1.00386i
\(482\) 11.6124 + 10.9999i 0.528932 + 0.501031i
\(483\) −6.61840 + 3.06200i −0.301147 + 0.139326i
\(484\) −20.9759 + 15.9455i −0.953449 + 0.724793i
\(485\) −0.756329 + 4.61340i −0.0343431 + 0.209484i
\(486\) −1.01452 + 1.91359i −0.0460196 + 0.0868022i
\(487\) 29.6620 6.52911i 1.34411 0.295862i 0.516081 0.856540i \(-0.327390\pi\)
0.828034 + 0.560678i \(0.189459\pi\)
\(488\) −19.0351 8.80659i −0.861680 0.398656i
\(489\) 7.35541 + 18.4607i 0.332623 + 0.834821i
\(490\) −0.607483 11.2044i −0.0274433 0.506162i
\(491\) 0.248732 + 0.366852i 0.0112251 + 0.0165558i 0.833260 0.552881i \(-0.186472\pi\)
−0.822035 + 0.569437i \(0.807161\pi\)
\(492\) −12.1123 14.2597i −0.546065 0.642878i
\(493\) −7.53864 14.2194i −0.339523 0.640409i
\(494\) 26.7566 9.01535i 1.20384 0.405620i
\(495\) −0.100666 + 1.85668i −0.00452462 + 0.0834517i
\(496\) −2.16679 + 1.30371i −0.0972918 + 0.0585385i
\(497\) 7.45571 + 26.8531i 0.334434 + 1.20452i
\(498\) −7.44771 + 26.8242i −0.333740 + 1.20202i
\(499\) 5.89491 + 3.54685i 0.263893 + 0.158779i 0.641351 0.767248i \(-0.278374\pi\)
−0.377458 + 0.926027i \(0.623202\pi\)
\(500\) −18.2353 + 26.8951i −0.815509 + 1.20279i
\(501\) 10.4078 1.13192i 0.464988 0.0505705i
\(502\) 10.5912 1.15187i 0.472710 0.0514103i
\(503\) 9.82141 14.4855i 0.437915 0.645877i −0.543132 0.839648i \(-0.682762\pi\)
0.981047 + 0.193771i \(0.0620719\pi\)
\(504\) 2.54466 + 1.53107i 0.113348 + 0.0681993i
\(505\) 3.69202 13.2974i 0.164293 0.591728i
\(506\) 2.34165 + 8.43387i 0.104099 + 0.374931i
\(507\) −15.8024 + 9.50800i −0.701810 + 0.422265i
\(508\) 0.183775 3.38953i 0.00815369 0.150386i
\(509\) −17.1986 + 5.79487i −0.762313 + 0.256853i −0.673492 0.739194i \(-0.735207\pi\)
−0.0888212 + 0.996048i \(0.528310\pi\)
\(510\) 3.12813 + 5.90028i 0.138516 + 0.261269i
\(511\) −13.7560 16.1948i −0.608530 0.716417i
\(512\) 12.7588 + 18.8178i 0.563863 + 0.831636i
\(513\) 0.125863 + 2.32140i 0.00555698 + 0.102492i
\(514\) −16.8644 42.3265i −0.743858 1.86694i
\(515\) −30.6873 14.1975i −1.35225 0.625615i
\(516\) 10.1190 2.22736i 0.445463 0.0980539i
\(517\) −0.629940 + 1.18819i −0.0277047 + 0.0522566i
\(518\) 2.76612 16.8726i 0.121536 0.741339i
\(519\) −16.2646 + 12.3640i −0.713936 + 0.542720i
\(520\) 12.8818 5.95977i 0.564906 0.261353i
\(521\) −27.1198 25.6893i −1.18814 1.12547i −0.989370 0.145422i \(-0.953546\pi\)
−0.198772 0.980046i \(-0.563695\pi\)
\(522\) −3.09303 18.8666i −0.135378 0.825771i
\(523\) −0.475683 0.160276i −0.0208002 0.00700839i 0.308882 0.951100i \(-0.400045\pi\)
−0.329682 + 0.944092i \(0.606942\pi\)
\(524\) −1.48641 + 3.73061i −0.0649341 + 0.162972i
\(525\) 3.08270 2.92008i 0.134540 0.127443i
\(526\) 32.4987 + 24.7049i 1.41701 + 1.07718i
\(527\) −2.10388 0.463099i −0.0916465 0.0201729i
\(528\) −1.52346 + 1.79355i −0.0662999 + 0.0780543i
\(529\) 9.43522 + 1.02614i 0.410227 + 0.0446149i
\(530\) −15.6339 −0.679093
\(531\) −6.67748 3.79622i −0.289778 0.164742i
\(532\) 12.4128 0.538164
\(533\) 38.7561 + 4.21499i 1.67872 + 0.182571i
\(534\) −15.7610 + 18.5552i −0.682043 + 0.802964i
\(535\) −4.67641 1.02936i −0.202179 0.0445029i
\(536\) 4.84512 + 3.68316i 0.209277 + 0.159088i
\(537\) −13.1328 + 12.4401i −0.566722 + 0.536828i
\(538\) −14.7107 + 36.9210i −0.634222 + 1.59178i
\(539\) 3.19203 + 1.07552i 0.137490 + 0.0463259i
\(540\) 0.736258 + 4.49097i 0.0316835 + 0.193261i
\(541\) −21.8953 20.7403i −0.941352 0.891696i 0.0529175 0.998599i \(-0.483148\pi\)
−0.994269 + 0.106903i \(0.965907\pi\)
\(542\) 44.7794 20.7171i 1.92344 0.889877i
\(543\) −11.9877 + 9.11285i −0.514443 + 0.391070i
\(544\) −2.25039 + 13.7268i −0.0964845 + 0.588530i
\(545\) −1.87051 + 3.52816i −0.0801239 + 0.151130i
\(546\) −23.5329 + 5.17998i −1.00712 + 0.221683i
\(547\) −6.49675 3.00572i −0.277781 0.128515i 0.276053 0.961143i \(-0.410974\pi\)
−0.553834 + 0.832627i \(0.686836\pi\)
\(548\) −12.9803 32.5781i −0.554490 1.39167i
\(549\) 0.758609 + 13.9917i 0.0323766 + 0.597152i
\(550\) −2.86014 4.21839i −0.121957 0.179873i
\(551\) −13.2852 15.6406i −0.565970 0.666311i
\(552\) 2.57694 + 4.86062i 0.109682 + 0.206882i
\(553\) −28.6961 + 9.66884i −1.22028 + 0.411161i
\(554\) −1.80331 + 33.2600i −0.0766151 + 1.41308i
\(555\) 5.76541 3.46893i 0.244728 0.147248i
\(556\) 4.95083 + 17.8313i 0.209962 + 0.756214i
\(557\) 6.50078 23.4137i 0.275447 0.992071i −0.688338 0.725390i \(-0.741659\pi\)
0.963785 0.266680i \(-0.0859268\pi\)
\(558\) −2.19275 1.31934i −0.0928266 0.0558519i
\(559\) −12.1157 + 17.8693i −0.512440 + 0.755793i
\(560\) −7.13904 + 0.776417i −0.301679 + 0.0328096i
\(561\) −1.99297 + 0.216748i −0.0841431 + 0.00915111i
\(562\) 20.5719 30.3412i 0.867772 1.27987i
\(563\) −19.7168 11.8632i −0.830963 0.499974i 0.0354089 0.999373i \(-0.488727\pi\)
−0.866372 + 0.499399i \(0.833554\pi\)
\(564\) −0.880579 + 3.17156i −0.0370791 + 0.133547i
\(565\) −1.78795 6.43961i −0.0752196 0.270917i
\(566\) 11.1938 6.73511i 0.470512 0.283098i
\(567\) 0.107415 1.98116i 0.00451101 0.0832008i
\(568\) 19.9241 6.71319i 0.835995 0.281679i
\(569\) −4.58504 8.64831i −0.192215 0.362556i 0.768607 0.639721i \(-0.220950\pi\)
−0.960822 + 0.277165i \(0.910605\pi\)
\(570\) 5.51266 + 6.49000i 0.230900 + 0.271836i
\(571\) 0.410054 + 0.604784i 0.0171602 + 0.0253094i 0.836172 0.548467i \(-0.184788\pi\)
−0.819012 + 0.573776i \(0.805478\pi\)
\(572\) 0.898247 + 16.5672i 0.0375576 + 0.692709i
\(573\) 2.14844 + 5.39217i 0.0897523 + 0.225261i
\(574\) 27.1152 + 12.5448i 1.13176 + 0.523610i
\(575\) 7.68210 1.69096i 0.320366 0.0705179i
\(576\) −5.73491 + 10.8172i −0.238955 + 0.450716i
\(577\) −1.62342 + 9.90244i −0.0675840 + 0.412244i 0.931268 + 0.364336i \(0.118704\pi\)
−0.998852 + 0.0479085i \(0.984744\pi\)
\(578\) 23.5803 17.9253i 0.980812 0.745594i
\(579\) 18.0266 8.34001i 0.749161 0.346599i
\(580\) −29.1643 27.6259i −1.21098 1.14710i
\(581\) −4.12575 25.1660i −0.171165 1.04406i
\(582\) −5.67405 1.91181i −0.235197 0.0792471i
\(583\) 1.73710 4.35979i 0.0719432 0.180564i
\(584\) −11.6378 + 11.0239i −0.481577 + 0.456174i
\(585\) −7.54908 5.73866i −0.312116 0.237264i
\(586\) 40.6176 + 8.94062i 1.67790 + 0.369334i
\(587\) −1.89847 + 2.23505i −0.0783582 + 0.0922504i −0.799944 0.600074i \(-0.795138\pi\)
0.721586 + 0.692325i \(0.243413\pi\)
\(588\) 8.19575 + 0.891341i 0.337987 + 0.0367583i
\(589\) −2.74683 −0.113181
\(590\) −27.8856 + 3.73198i −1.14803 + 0.153643i
\(591\) −16.6273 −0.683956
\(592\) 8.46562 + 0.920692i 0.347935 + 0.0378402i
\(593\) 4.94763 5.82480i 0.203175 0.239196i −0.651133 0.758964i \(-0.725706\pi\)
0.854307 + 0.519768i \(0.173982\pi\)
\(594\) −2.32576 0.511938i −0.0954270 0.0210051i
\(595\) −4.87017 3.70221i −0.199657 0.151776i
\(596\) −10.2751 + 9.73309i −0.420885 + 0.398683i
\(597\) −5.54432 + 13.9152i −0.226914 + 0.569511i
\(598\) −42.3016 14.2531i −1.72984 0.582851i
\(599\) −1.09042 6.65129i −0.0445535 0.271764i 0.955150 0.296123i \(-0.0956939\pi\)
−0.999703 + 0.0243588i \(0.992246\pi\)
\(600\) −2.32562 2.20295i −0.0949432 0.0899350i
\(601\) 1.58307 0.732404i 0.0645746 0.0298754i −0.387336 0.921939i \(-0.626605\pi\)
0.451911 + 0.892063i \(0.350743\pi\)
\(602\) −13.1717 + 10.0128i −0.536837 + 0.408093i
\(603\) 0.657818 4.01251i 0.0267884 0.163402i
\(604\) 20.5787 38.8155i 0.837334 1.57938i
\(605\) 16.1707 3.55944i 0.657432 0.144712i
\(606\) 16.0413 + 7.42150i 0.651634 + 0.301478i
\(607\) 9.03684 + 22.6808i 0.366794 + 0.920584i 0.990323 + 0.138783i \(0.0443191\pi\)
−0.623529 + 0.781800i \(0.714302\pi\)
\(608\) 0.960226 + 17.7103i 0.0389423 + 0.718249i
\(609\) 9.82837 + 14.4958i 0.398266 + 0.587398i
\(610\) 33.2262 + 39.1170i 1.34529 + 1.58380i
\(611\) −3.21258 6.05957i −0.129967 0.245144i
\(612\) −4.64972 + 1.56667i −0.187954 + 0.0633290i
\(613\) −2.40256 + 44.3126i −0.0970386 + 1.78977i 0.394481 + 0.918904i \(0.370924\pi\)
−0.491519 + 0.870867i \(0.663558\pi\)
\(614\) 54.3911 32.7260i 2.19505 1.32072i
\(615\) 3.14543 + 11.3288i 0.126836 + 0.456822i
\(616\) −0.873561 + 3.14628i −0.0351968 + 0.126767i
\(617\) −14.3270 8.62030i −0.576785 0.347040i 0.197083 0.980387i \(-0.436853\pi\)
−0.773868 + 0.633347i \(0.781681\pi\)
\(618\) 24.3023 35.8432i 0.977582 1.44183i
\(619\) −19.1383 + 2.08141i −0.769233 + 0.0836591i −0.484316 0.874893i \(-0.660932\pi\)
−0.284917 + 0.958552i \(0.591966\pi\)
\(620\) −5.34553 + 0.581362i −0.214682 + 0.0233480i
\(621\) 2.06263 3.04215i 0.0827705 0.122077i
\(622\) 59.7681 + 35.9613i 2.39648 + 1.44192i
\(623\) 5.96635 21.4888i 0.239037 0.860933i
\(624\) −3.21063 11.5637i −0.128528 0.462917i
\(625\) 8.32795 5.01076i 0.333118 0.200430i
\(626\) 0.264041 4.86995i 0.0105532 0.194642i
\(627\) −2.42237 + 0.816190i −0.0967400 + 0.0325955i
\(628\) −22.7714 42.9514i −0.908677 1.71395i
\(629\) 4.69637 + 5.52900i 0.187257 + 0.220456i
\(630\) −4.07824 6.01496i −0.162481 0.239642i
\(631\) −1.28770 23.7503i −0.0512627 0.945484i −0.905168 0.425055i \(-0.860255\pi\)
0.853905 0.520429i \(-0.174228\pi\)
\(632\) 8.45563 + 21.2220i 0.336347 + 0.844167i
\(633\) 15.9173 + 7.36413i 0.632656 + 0.292698i
\(634\) −25.8832 + 5.69733i −1.02795 + 0.226270i
\(635\) −0.999189 + 1.88467i −0.0396516 + 0.0747908i
\(636\) 1.85830 11.3351i 0.0736862 0.449466i
\(637\) −13.6753 + 10.3957i −0.541834 + 0.411892i
\(638\) 19.0783 8.82655i 0.755316 0.349446i
\(639\) −10.1976 9.65966i −0.403410 0.382130i
\(640\) 3.08053 + 18.7904i 0.121769 + 0.742755i
\(641\) 42.1200 + 14.1919i 1.66364 + 0.560546i 0.984793 0.173732i \(-0.0555827\pi\)
0.678849 + 0.734278i \(0.262479\pi\)
\(642\) 2.26994 5.69712i 0.0895873 0.224847i
\(643\) −8.24666 + 7.81165i −0.325216 + 0.308061i −0.832836 0.553520i \(-0.813284\pi\)
0.507619 + 0.861581i \(0.330526\pi\)
\(644\) −15.6229 11.8762i −0.615627 0.467987i
\(645\) −6.35892 1.39970i −0.250382 0.0551133i
\(646\) −5.94345 + 6.99717i −0.233842 + 0.275300i
\(647\) −4.23842 0.460956i −0.166630 0.0181221i 0.0244238 0.999702i \(-0.492225\pi\)
−0.191053 + 0.981580i \(0.561190\pi\)
\(648\) −1.49680 −0.0588000
\(649\) 2.05767 8.19106i 0.0807707 0.321527i
\(650\) 25.9917 1.01948
\(651\) 2.33049 + 0.253456i 0.0913391 + 0.00993373i
\(652\) −34.6205 + 40.7584i −1.35584 + 1.59622i
\(653\) 17.9278 + 3.94620i 0.701567 + 0.154427i 0.551409 0.834235i \(-0.314090\pi\)
0.150159 + 0.988662i \(0.452022\pi\)
\(654\) −4.07158 3.09514i −0.159211 0.121029i
\(655\) 1.83212 1.73548i 0.0715870 0.0678108i
\(656\) −5.50763 + 13.8231i −0.215037 + 0.539702i
\(657\) 10.1490 + 3.41959i 0.395949 + 0.133411i
\(658\) −0.850344 5.18687i −0.0331499 0.202205i
\(659\) 13.7436 + 13.0186i 0.535375 + 0.507134i 0.906933 0.421276i \(-0.138418\pi\)
−0.371558 + 0.928410i \(0.621176\pi\)
\(660\) −4.54135 + 2.10105i −0.176772 + 0.0817833i
\(661\) −16.1795 + 12.2993i −0.629309 + 0.478388i −0.870552 0.492077i \(-0.836238\pi\)
0.241243 + 0.970465i \(0.422445\pi\)
\(662\) 11.1603 68.0748i 0.433757 2.64580i
\(663\) 4.78887 9.03276i 0.185984 0.350803i
\(664\) −18.7892 + 4.13581i −0.729161 + 0.160500i
\(665\) −7.07946 3.27530i −0.274530 0.127011i
\(666\) 3.18969 + 8.00552i 0.123598 + 0.310208i
\(667\) 1.75647 + 32.3962i 0.0680108 + 1.25439i
\(668\) 15.8106 + 23.3189i 0.611731 + 0.902235i
\(669\) −4.96876 5.84967i −0.192103 0.226161i
\(670\) −6.97605 13.1582i −0.269508 0.508346i
\(671\) −14.6002 + 4.91939i −0.563636 + 0.189911i
\(672\) 0.819486 15.1145i 0.0316124 0.583056i
\(673\) 0.663238 0.399057i 0.0255660 0.0153825i −0.502714 0.864453i \(-0.667665\pi\)
0.528279 + 0.849071i \(0.322837\pi\)
\(674\) 10.4645 + 37.6896i 0.403076 + 1.45175i
\(675\) −0.572546 + 2.06212i −0.0220373 + 0.0793712i
\(676\) −42.5256 25.5868i −1.63560 0.984107i
\(677\) −11.0250 + 16.2606i −0.423725 + 0.624947i −0.978302 0.207185i \(-0.933570\pi\)
0.554577 + 0.832132i \(0.312880\pi\)
\(678\) 8.50933 0.925446i 0.326799 0.0355415i
\(679\) 5.45268 0.593015i 0.209255 0.0227578i
\(680\) −2.58998 + 3.81994i −0.0993212 + 0.146488i
\(681\) −8.83583 5.31634i −0.338590 0.203723i
\(682\) 0.752754 2.71118i 0.0288244 0.103816i
\(683\) 0.793522 + 2.85801i 0.0303633 + 0.109359i 0.977179 0.212418i \(-0.0681338\pi\)
−0.946816 + 0.321777i \(0.895720\pi\)
\(684\) −5.36072 + 3.22544i −0.204972 + 0.123328i
\(685\) −1.19310 + 22.0054i −0.0455859 + 0.840783i
\(686\) −40.9817 + 13.8084i −1.56469 + 0.527205i
\(687\) −3.02030 5.69688i −0.115231 0.217350i
\(688\) −5.33472 6.28052i −0.203384 0.239443i
\(689\) 13.4314 + 19.8099i 0.511697 + 0.754697i
\(690\) −0.728841 13.4427i −0.0277465 0.511754i
\(691\) −5.87426 14.7433i −0.223467 0.560861i 0.773905 0.633301i \(-0.218301\pi\)
−0.997373 + 0.0724406i \(0.976921\pi\)
\(692\) −49.8986 23.0855i −1.89686 0.877581i
\(693\) 2.13051 0.468962i 0.0809315 0.0178144i
\(694\) −11.0401 + 20.8238i −0.419076 + 0.790462i
\(695\) 1.88141 11.4761i 0.0713661 0.435314i
\(696\) 10.5183 7.99582i 0.398696 0.303081i
\(697\) −11.5046 + 5.32258i −0.435767 + 0.201607i
\(698\) 27.6814 + 26.2212i 1.04776 + 0.992487i
\(699\) −1.11497 6.80101i −0.0421720 0.257238i
\(700\) 10.8286 + 3.64858i 0.409283 + 0.137904i
\(701\) 11.3559 28.5011i 0.428905 1.07647i −0.542713 0.839918i \(-0.682603\pi\)
0.971619 0.236553i \(-0.0760177\pi\)
\(702\) 8.81713 8.35203i 0.332781 0.315227i
\(703\) 7.36377 + 5.59779i 0.277730 + 0.211125i
\(704\) −13.1471 2.89390i −0.495500 0.109068i
\(705\) 1.33909 1.57649i 0.0504329 0.0593742i
\(706\) 61.7161 + 6.71203i 2.32272 + 0.252611i
\(707\) −16.1911 −0.608930
\(708\) 0.608770 20.6616i 0.0228790 0.776511i
\(709\) −10.3837 −0.389966 −0.194983 0.980807i \(-0.562465\pi\)
−0.194983 + 0.980807i \(0.562465\pi\)
\(710\) −51.1469 5.56256i −1.91951 0.208759i
\(711\) 9.88054 11.6323i 0.370549 0.436244i
\(712\) −16.4314 3.61682i −0.615791 0.135546i
\(713\) 3.45718 + 2.62808i 0.129473 + 0.0984224i
\(714\) 5.68823 5.38818i 0.212877 0.201648i
\(715\) 3.85919 9.68584i 0.144326 0.362230i
\(716\) −46.1317 15.5436i −1.72402 0.580891i
\(717\) 1.62942 + 9.93905i 0.0608520 + 0.371181i
\(718\) −44.6045 42.2516i −1.66462 1.57682i
\(719\) −5.08370 + 2.35197i −0.189590 + 0.0877137i −0.512387 0.858754i \(-0.671239\pi\)
0.322797 + 0.946468i \(0.395377\pi\)
\(720\) 2.88138 2.19037i 0.107383 0.0816302i
\(721\) −6.41785 + 39.1472i −0.239013 + 1.45792i
\(722\) 13.7927 26.0157i 0.513310 0.968205i
\(723\) 7.21239 1.58757i 0.268232 0.0590422i
\(724\) −36.7776 17.0151i −1.36683 0.632362i
\(725\) −6.99233 17.5494i −0.259689 0.651769i
\(726\) 1.14809 + 21.1753i 0.0426096 + 0.785888i
\(727\) −15.4937 22.8515i −0.574629 0.847514i 0.423670 0.905816i \(-0.360741\pi\)
−0.998299 + 0.0583028i \(0.981431\pi\)
\(728\) −10.7806 12.6919i −0.399555 0.470392i
\(729\) 0.468408 + 0.883512i 0.0173485 + 0.0327227i
\(730\) 37.1734 12.5252i 1.37585 0.463577i
\(731\) 0.380053 7.00967i 0.0140568 0.259262i
\(732\) −32.3105 + 19.4406i −1.19423 + 0.718544i
\(733\) −13.0658 47.0588i −0.482597 1.73816i −0.657389 0.753552i \(-0.728339\pi\)
0.174792 0.984605i \(-0.444075\pi\)
\(734\) −15.3289 + 55.2097i −0.565800 + 2.03783i
\(735\) −4.43912 2.67093i −0.163739 0.0985187i
\(736\) 15.7361 23.2090i 0.580041 0.855497i
\(737\) 4.44451 0.483370i 0.163716 0.0178052i
\(738\) −14.9699 + 1.62808i −0.551051 + 0.0599304i
\(739\) 9.10588 13.4302i 0.334965 0.494037i −0.622486 0.782631i \(-0.713877\pi\)
0.957452 + 0.288594i \(0.0931878\pi\)
\(740\) 15.5152 + 9.33517i 0.570349 + 0.343168i
\(741\) 3.48750 12.5609i 0.128117 0.461435i
\(742\) 4.90705 + 17.6736i 0.180143 + 0.648818i
\(743\) −11.8140 + 7.10823i −0.433413 + 0.260776i −0.715500 0.698613i \(-0.753801\pi\)
0.282087 + 0.959389i \(0.408973\pi\)
\(744\) 0.0957457 1.76592i 0.00351021 0.0647419i
\(745\) 8.42846 2.83988i 0.308795 0.104045i
\(746\) −2.90341 5.47642i −0.106302 0.200506i
\(747\) 8.32109 + 9.79634i 0.304453 + 0.358429i
\(748\) −3.02752 4.46526i −0.110697 0.163266i
\(749\) 0.304144 + 5.60961i 0.0111132 + 0.204971i
\(750\) 9.68009 + 24.2952i 0.353467 + 0.887135i
\(751\) 20.9285 + 9.68256i 0.763692 + 0.353322i 0.762763 0.646678i \(-0.223842\pi\)
0.000929091 1.00000i \(0.499704\pi\)
\(752\) 2.55659 0.562749i 0.0932294 0.0205213i
\(753\) 2.30403 4.34586i 0.0839635 0.158372i
\(754\) −17.3437 + 105.792i −0.631620 + 3.85271i
\(755\) −21.9787 + 16.7078i −0.799888 + 0.608059i
\(756\) 4.84580 2.24191i 0.176240 0.0815373i
\(757\) 20.9230 + 19.8193i 0.760458 + 0.720344i 0.966067 0.258290i \(-0.0831591\pi\)
−0.205610 + 0.978634i \(0.565918\pi\)
\(758\) −5.30139 32.3371i −0.192555 1.17454i
\(759\) 3.82971 + 1.29038i 0.139010 + 0.0468378i
\(760\) −2.17816 + 5.46677i −0.0790102 + 0.198301i
\(761\) −2.25662 + 2.13759i −0.0818025 + 0.0774874i −0.727508 0.686099i \(-0.759322\pi\)
0.645706 + 0.763586i \(0.276563\pi\)
\(762\) −2.17495 1.65336i −0.0787903 0.0598948i
\(763\) 4.57557 + 1.00716i 0.165647 + 0.0364616i
\(764\) −10.1123 + 11.9051i −0.365849 + 0.430711i
\(765\) 3.06528 + 0.333370i 0.110826 + 0.0120530i
\(766\) −47.1546 −1.70376
\(767\) 28.6860 + 32.1280i 1.03579 + 1.16007i
\(768\) 0.0998119 0.00360165
\(769\) 16.5806 + 1.80325i 0.597912 + 0.0650268i 0.402070 0.915609i \(-0.368291\pi\)
0.195841 + 0.980636i \(0.437256\pi\)
\(770\) 5.17287 6.08997i 0.186417 0.219467i
\(771\) −20.5446 4.52220i −0.739895 0.162863i
\(772\) 42.5522 + 32.3474i 1.53149 + 1.16421i
\(773\)