Properties

Label 300.2.n.a.11.2
Level $300$
Weight $2$
Character 300.11
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.n (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 11.2
Character \(\chi\) \(=\) 300.11
Dual form 300.2.n.a.191.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.40679 + 0.144680i) q^{2} +(-1.60959 + 0.639710i) q^{3} +(1.95814 - 0.407070i) q^{4} +(2.17904 + 0.501802i) q^{5} +(2.17180 - 1.13282i) q^{6} -2.67645i q^{7} +(-2.69580 + 0.855967i) q^{8} +(2.18154 - 2.05934i) q^{9} +O(q^{10})\) \(q+(-1.40679 + 0.144680i) q^{2} +(-1.60959 + 0.639710i) q^{3} +(1.95814 - 0.407070i) q^{4} +(2.17904 + 0.501802i) q^{5} +(2.17180 - 1.13282i) q^{6} -2.67645i q^{7} +(-2.69580 + 0.855967i) q^{8} +(2.18154 - 2.05934i) q^{9} +(-3.13805 - 0.390668i) q^{10} +(-1.85172 + 1.34535i) q^{11} +(-2.89138 + 1.90785i) q^{12} +(-2.84737 - 2.06874i) q^{13} +(0.387229 + 3.76521i) q^{14} +(-3.82836 + 0.586257i) q^{15} +(3.66859 - 1.59420i) q^{16} +(1.64171 - 0.533423i) q^{17} +(-2.77103 + 3.21269i) q^{18} +(6.93479 - 2.25325i) q^{19} +(4.47111 + 0.0955751i) q^{20} +(1.71215 + 4.30797i) q^{21} +(2.41034 - 2.16054i) q^{22} +(6.63409 - 4.81995i) q^{23} +(3.79155 - 3.10228i) q^{24} +(4.49639 + 2.18689i) q^{25} +(4.30497 + 2.49833i) q^{26} +(-2.19400 + 4.71024i) q^{27} +(-1.08950 - 5.24084i) q^{28} +(-5.87446 - 1.90873i) q^{29} +(5.30088 - 1.37863i) q^{30} +(1.24970 - 0.406051i) q^{31} +(-4.93030 + 2.77348i) q^{32} +(2.11987 - 3.35003i) q^{33} +(-2.23237 + 0.987938i) q^{34} +(1.34305 - 5.83207i) q^{35} +(3.43346 - 4.92050i) q^{36} +(7.58270 + 5.50915i) q^{37} +(-9.42982 + 4.17319i) q^{38} +(5.90649 + 1.50832i) q^{39} +(-6.30376 + 0.512427i) q^{40} +(4.57985 - 6.30362i) q^{41} +(-3.03192 - 5.81271i) q^{42} -2.46655i q^{43} +(-3.07827 + 3.38817i) q^{44} +(5.78704 - 3.39267i) q^{45} +(-8.63544 + 7.74049i) q^{46} +(-1.80384 + 5.55165i) q^{47} +(-4.88509 + 4.91283i) q^{48} -0.163362 q^{49} +(-6.64189 - 2.42596i) q^{50} +(-2.30123 + 1.90881i) q^{51} +(-6.41767 - 2.89179i) q^{52} +(-0.712445 - 0.231487i) q^{53} +(2.40503 - 6.94376i) q^{54} +(-4.71007 + 2.00238i) q^{55} +(2.29095 + 7.21515i) q^{56} +(-9.72073 + 8.06306i) q^{57} +(8.54031 + 1.83527i) q^{58} +(-0.338315 - 0.245801i) q^{59} +(-7.25779 + 2.70638i) q^{60} +(-6.39074 + 4.64315i) q^{61} +(-1.69932 + 0.752035i) q^{62} +(-5.51171 - 5.83878i) q^{63} +(6.53464 - 4.61503i) q^{64} +(-5.16643 - 5.93667i) q^{65} +(-2.49754 + 5.01950i) q^{66} +(0.682543 - 0.221772i) q^{67} +(2.99754 - 1.71280i) q^{68} +(-7.59478 + 12.0020i) q^{69} +(-1.04560 + 8.39883i) q^{70} +(-0.00682784 + 0.0210139i) q^{71} +(-4.11827 + 7.41889i) q^{72} +(4.67607 - 3.39736i) q^{73} +(-11.4644 - 6.65317i) q^{74} +(-8.63631 - 0.643600i) q^{75} +(12.6620 - 7.23512i) q^{76} +(3.60077 + 4.95603i) q^{77} +(-8.52743 - 1.26734i) q^{78} +(-9.80854 - 3.18699i) q^{79} +(8.79395 - 1.63291i) q^{80} +(0.518252 - 8.98507i) q^{81} +(-5.53089 + 9.53050i) q^{82} +(-0.850203 - 2.61666i) q^{83} +(5.10627 + 7.73863i) q^{84} +(3.84501 - 0.338536i) q^{85} +(0.356861 + 3.46992i) q^{86} +(10.6765 - 0.685687i) q^{87} +(3.84029 - 5.21182i) q^{88} +(-6.76353 - 9.30919i) q^{89} +(-7.65031 + 5.61005i) q^{90} +(-5.53687 + 7.62084i) q^{91} +(11.0284 - 12.1387i) q^{92} +(-1.75174 + 1.45302i) q^{93} +(1.73442 - 8.07101i) q^{94} +(16.2418 - 1.43002i) q^{95} +(6.16152 - 7.61812i) q^{96} +(-2.56496 + 7.89413i) q^{97} +(0.229816 - 0.0236352i) q^{98} +(-1.26907 + 6.74827i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} + q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} + q^{6} - 6q^{9} - 8q^{10} - 9q^{12} - 12q^{13} - 18q^{16} - 26q^{18} + 12q^{21} - 6q^{22} - 16q^{24} - 12q^{25} + 2q^{28} - 13q^{30} + 6q^{33} - 30q^{34} + 35q^{36} + 12q^{37} - 24q^{40} - 13q^{42} - 6q^{45} - 18q^{46} - 34q^{48} - 168q^{49} - 28q^{52} - 38q^{54} - 44q^{57} - 34q^{58} - 76q^{60} + 4q^{61} + 18q^{64} - 46q^{66} - 18q^{69} + 72q^{70} - 29q^{72} - 20q^{73} + 16q^{76} + 5q^{78} - 30q^{81} - 20q^{82} - 18q^{84} - 76q^{85} + 6q^{88} + 2q^{90} - 52q^{93} + 96q^{94} - 50q^{96} - 72q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{4}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.40679 + 0.144680i −0.994753 + 0.102304i
\(3\) −1.60959 + 0.639710i −0.929296 + 0.369337i
\(4\) 1.95814 0.407070i 0.979068 0.203535i
\(5\) 2.17904 + 0.501802i 0.974494 + 0.224413i
\(6\) 2.17180 1.13282i 0.886635 0.462470i
\(7\) 2.67645i 1.01160i −0.862650 0.505801i \(-0.831197\pi\)
0.862650 0.505801i \(-0.168803\pi\)
\(8\) −2.69580 + 0.855967i −0.953108 + 0.302630i
\(9\) 2.18154 2.05934i 0.727181 0.686446i
\(10\) −3.13805 0.390668i −0.992340 0.123540i
\(11\) −1.85172 + 1.34535i −0.558315 + 0.405640i −0.830842 0.556509i \(-0.812141\pi\)
0.272527 + 0.962148i \(0.412141\pi\)
\(12\) −2.89138 + 1.90785i −0.834670 + 0.550750i
\(13\) −2.84737 2.06874i −0.789719 0.573765i 0.118161 0.992994i \(-0.462300\pi\)
−0.907880 + 0.419230i \(0.862300\pi\)
\(14\) 0.387229 + 3.76521i 0.103491 + 1.00629i
\(15\) −3.82836 + 0.586257i −0.988477 + 0.151371i
\(16\) 3.66859 1.59420i 0.917147 0.398549i
\(17\) 1.64171 0.533423i 0.398172 0.129374i −0.103084 0.994673i \(-0.532871\pi\)
0.501257 + 0.865299i \(0.332871\pi\)
\(18\) −2.77103 + 3.21269i −0.653139 + 0.757238i
\(19\) 6.93479 2.25325i 1.59095 0.516931i 0.626103 0.779740i \(-0.284649\pi\)
0.964848 + 0.262809i \(0.0846490\pi\)
\(20\) 4.47111 + 0.0955751i 0.999772 + 0.0213713i
\(21\) 1.71215 + 4.30797i 0.373622 + 0.940077i
\(22\) 2.41034 2.16054i 0.513887 0.460629i
\(23\) 6.63409 4.81995i 1.38330 1.00503i 0.386740 0.922189i \(-0.373601\pi\)
0.996563 0.0828400i \(-0.0263990\pi\)
\(24\) 3.79155 3.10228i 0.773947 0.633251i
\(25\) 4.49639 + 2.18689i 0.899278 + 0.437377i
\(26\) 4.30497 + 2.49833i 0.844275 + 0.489963i
\(27\) −2.19400 + 4.71024i −0.422236 + 0.906486i
\(28\) −1.08950 5.24084i −0.205896 0.990426i
\(29\) −5.87446 1.90873i −1.09086 0.354442i −0.292281 0.956332i \(-0.594414\pi\)
−0.798579 + 0.601891i \(0.794414\pi\)
\(30\) 5.30088 1.37863i 0.967805 0.251702i
\(31\) 1.24970 0.406051i 0.224452 0.0729288i −0.194632 0.980876i \(-0.562351\pi\)
0.419084 + 0.907947i \(0.362351\pi\)
\(32\) −4.93030 + 2.77348i −0.871561 + 0.490286i
\(33\) 2.11987 3.35003i 0.369022 0.583166i
\(34\) −2.23237 + 0.987938i −0.382848 + 0.169430i
\(35\) 1.34305 5.83207i 0.227016 0.985800i
\(36\) 3.43346 4.92050i 0.572243 0.820084i
\(37\) 7.58270 + 5.50915i 1.24659 + 0.905699i 0.998019 0.0629150i \(-0.0200397\pi\)
0.248569 + 0.968614i \(0.420040\pi\)
\(38\) −9.42982 + 4.17319i −1.52972 + 0.676980i
\(39\) 5.90649 + 1.50832i 0.945795 + 0.241525i
\(40\) −6.30376 + 0.512427i −0.996712 + 0.0810219i
\(41\) 4.57985 6.30362i 0.715252 0.984460i −0.284416 0.958701i \(-0.591800\pi\)
0.999668 0.0257592i \(-0.00820030\pi\)
\(42\) −3.03192 5.81271i −0.467835 0.896921i
\(43\) 2.46655i 0.376145i −0.982155 0.188073i \(-0.939776\pi\)
0.982155 0.188073i \(-0.0602240\pi\)
\(44\) −3.07827 + 3.38817i −0.464066 + 0.510785i
\(45\) 5.78704 3.39267i 0.862681 0.505749i
\(46\) −8.63544 + 7.74049i −1.27323 + 1.14127i
\(47\) −1.80384 + 5.55165i −0.263117 + 0.809792i 0.729004 + 0.684510i \(0.239984\pi\)
−0.992121 + 0.125282i \(0.960016\pi\)
\(48\) −4.88509 + 4.91283i −0.705102 + 0.709106i
\(49\) −0.163362 −0.0233374
\(50\) −6.64189 2.42596i −0.939305 0.343083i
\(51\) −2.30123 + 1.90881i −0.322237 + 0.267286i
\(52\) −6.41767 2.89179i −0.889970 0.401019i
\(53\) −0.712445 0.231487i −0.0978618 0.0317972i 0.259677 0.965696i \(-0.416384\pi\)
−0.357539 + 0.933898i \(0.616384\pi\)
\(54\) 2.40503 6.94376i 0.327283 0.944926i
\(55\) −4.71007 + 2.00238i −0.635106 + 0.270001i
\(56\) 2.29095 + 7.21515i 0.306141 + 0.964165i
\(57\) −9.72073 + 8.06306i −1.28754 + 1.06798i
\(58\) 8.54031 + 1.83527i 1.12140 + 0.240982i
\(59\) −0.338315 0.245801i −0.0440449 0.0320005i 0.565545 0.824717i \(-0.308666\pi\)
−0.609590 + 0.792717i \(0.708666\pi\)
\(60\) −7.25779 + 2.70638i −0.936977 + 0.349392i
\(61\) −6.39074 + 4.64315i −0.818251 + 0.594494i −0.916211 0.400696i \(-0.868768\pi\)
0.0979601 + 0.995190i \(0.468768\pi\)
\(62\) −1.69932 + 0.752035i −0.215813 + 0.0955086i
\(63\) −5.51171 5.83878i −0.694410 0.735617i
\(64\) 6.53464 4.61503i 0.816830 0.576878i
\(65\) −5.16643 5.93667i −0.640817 0.736353i
\(66\) −2.49754 + 5.01950i −0.307426 + 0.617858i
\(67\) 0.682543 0.221772i 0.0833859 0.0270937i −0.267027 0.963689i \(-0.586041\pi\)
0.350413 + 0.936595i \(0.386041\pi\)
\(68\) 2.99754 1.71280i 0.363506 0.207708i
\(69\) −7.59478 + 12.0020i −0.914304 + 1.44487i
\(70\) −1.04560 + 8.39883i −0.124973 + 1.00385i
\(71\) −0.00682784 + 0.0210139i −0.000810315 + 0.00249389i −0.951461 0.307770i \(-0.900417\pi\)
0.950651 + 0.310264i \(0.100417\pi\)
\(72\) −4.11827 + 7.41889i −0.485343 + 0.874324i
\(73\) 4.67607 3.39736i 0.547292 0.397631i −0.279494 0.960147i \(-0.590167\pi\)
0.826786 + 0.562516i \(0.190167\pi\)
\(74\) −11.4644 6.65317i −1.33270 0.773416i
\(75\) −8.63631 0.643600i −0.997235 0.0743165i
\(76\) 12.6620 7.23512i 1.45243 0.829925i
\(77\) 3.60077 + 4.95603i 0.410346 + 0.564792i
\(78\) −8.52743 1.26734i −0.965542 0.143498i
\(79\) −9.80854 3.18699i −1.10355 0.358564i −0.300080 0.953914i \(-0.597013\pi\)
−0.803466 + 0.595350i \(0.797013\pi\)
\(80\) 8.79395 1.63291i 0.983194 0.182565i
\(81\) 0.518252 8.98507i 0.0575835 0.998341i
\(82\) −5.53089 + 9.53050i −0.610785 + 1.05247i
\(83\) −0.850203 2.61666i −0.0933219 0.287215i 0.893491 0.449081i \(-0.148249\pi\)
−0.986813 + 0.161866i \(0.948249\pi\)
\(84\) 5.10627 + 7.73863i 0.557139 + 0.844354i
\(85\) 3.84501 0.338536i 0.417050 0.0367194i
\(86\) 0.356861 + 3.46992i 0.0384813 + 0.374171i
\(87\) 10.6765 0.685687i 1.14464 0.0735134i
\(88\) 3.84029 5.21182i 0.409376 0.555581i
\(89\) −6.76353 9.30919i −0.716932 0.986773i −0.999620 0.0275606i \(-0.991226\pi\)
0.282688 0.959212i \(-0.408774\pi\)
\(90\) −7.65031 + 5.61005i −0.806414 + 0.591352i
\(91\) −5.53687 + 7.62084i −0.580421 + 0.798881i
\(92\) 11.0284 12.1387i 1.14979 1.26554i
\(93\) −1.75174 + 1.45302i −0.181647 + 0.150671i
\(94\) 1.73442 8.07101i 0.178892 0.832461i
\(95\) 16.2418 1.43002i 1.66638 0.146717i
\(96\) 6.16152 7.61812i 0.628857 0.777521i
\(97\) −2.56496 + 7.89413i −0.260432 + 0.801528i 0.732278 + 0.681005i \(0.238457\pi\)
−0.992711 + 0.120522i \(0.961543\pi\)
\(98\) 0.229816 0.0236352i 0.0232150 0.00238752i
\(99\) −1.26907 + 6.74827i −0.127546 + 0.678227i
\(100\) 9.69476 + 2.45187i 0.969476 + 0.245187i
\(101\) 8.19206i 0.815140i 0.913174 + 0.407570i \(0.133624\pi\)
−0.913174 + 0.407570i \(0.866376\pi\)
\(102\) 2.96119 3.01824i 0.293202 0.298850i
\(103\) −11.5728 3.76024i −1.14030 0.370507i −0.322821 0.946460i \(-0.604631\pi\)
−0.817483 + 0.575953i \(0.804631\pi\)
\(104\) 9.44671 + 3.13964i 0.926327 + 0.307867i
\(105\) 1.56909 + 10.2464i 0.153127 + 0.999945i
\(106\) 1.03575 + 0.222578i 0.100601 + 0.0216187i
\(107\) 4.43749 0.428988 0.214494 0.976725i \(-0.431190\pi\)
0.214494 + 0.976725i \(0.431190\pi\)
\(108\) −2.37876 + 10.1164i −0.228896 + 0.973451i
\(109\) −12.5441 9.11380i −1.20150 0.872944i −0.207073 0.978326i \(-0.566394\pi\)
−0.994432 + 0.105381i \(0.966394\pi\)
\(110\) 6.33639 3.49839i 0.604151 0.333558i
\(111\) −15.7293 4.01673i −1.49296 0.381252i
\(112\) −4.26678 9.81878i −0.403173 0.927787i
\(113\) 0.190962 0.262836i 0.0179642 0.0247256i −0.799940 0.600079i \(-0.795136\pi\)
0.817905 + 0.575354i \(0.195136\pi\)
\(114\) 12.5085 12.7495i 1.17153 1.19410i
\(115\) 16.8746 7.17384i 1.57356 0.668964i
\(116\) −12.2800 1.34623i −1.14017 0.124994i
\(117\) −10.4719 + 1.35067i −0.968127 + 0.124869i
\(118\) 0.511502 + 0.296843i 0.0470876 + 0.0273266i
\(119\) −1.42768 4.39394i −0.130875 0.402792i
\(120\) 9.81865 4.85738i 0.896316 0.443416i
\(121\) −1.78029 + 5.47918i −0.161845 + 0.498107i
\(122\) 8.31868 7.45656i 0.753138 0.675085i
\(123\) −3.33918 + 13.0760i −0.301083 + 1.17902i
\(124\) 2.28178 1.30382i 0.204910 0.117086i
\(125\) 8.70041 + 7.02160i 0.778188 + 0.628031i
\(126\) 8.59859 + 7.41652i 0.766023 + 0.660716i
\(127\) 2.42299 + 3.33497i 0.215006 + 0.295930i 0.902874 0.429906i \(-0.141453\pi\)
−0.687868 + 0.725836i \(0.741453\pi\)
\(128\) −8.52519 + 7.43782i −0.753527 + 0.657417i
\(129\) 1.57788 + 3.97012i 0.138924 + 0.349550i
\(130\) 8.12702 + 7.60419i 0.712787 + 0.666932i
\(131\) 4.03029 + 12.4040i 0.352128 + 1.08374i 0.957656 + 0.287914i \(0.0929619\pi\)
−0.605528 + 0.795824i \(0.707038\pi\)
\(132\) 2.78730 7.42275i 0.242603 0.646067i
\(133\) −6.03070 18.5606i −0.522928 1.60941i
\(134\) −0.928111 + 0.410737i −0.0801765 + 0.0354823i
\(135\) −7.14442 + 9.16282i −0.614893 + 0.788610i
\(136\) −3.96912 + 2.84325i −0.340349 + 0.243806i
\(137\) −4.84704 + 6.67138i −0.414111 + 0.569975i −0.964215 0.265121i \(-0.914588\pi\)
0.550104 + 0.835096i \(0.314588\pi\)
\(138\) 8.94783 17.9832i 0.761690 1.53083i
\(139\) 6.80822 + 9.37071i 0.577466 + 0.794814i 0.993415 0.114574i \(-0.0365505\pi\)
−0.415949 + 0.909388i \(0.636550\pi\)
\(140\) 0.255802 11.9667i 0.0216192 1.01137i
\(141\) −0.648008 10.0898i −0.0545721 0.849715i
\(142\) 0.00656506 0.0305501i 0.000550927 0.00256371i
\(143\) 8.05573 0.673654
\(144\) 4.72019 11.0327i 0.393349 0.919389i
\(145\) −11.8429 7.10700i −0.983495 0.590204i
\(146\) −6.08673 + 5.45592i −0.503741 + 0.451535i
\(147\) 0.262945 0.104504i 0.0216874 0.00861936i
\(148\) 17.0906 + 7.70098i 1.40484 + 0.633016i
\(149\) 10.1521i 0.831693i −0.909435 0.415847i \(-0.863485\pi\)
0.909435 0.415847i \(-0.136515\pi\)
\(150\) 12.2426 0.344090i 0.999605 0.0280948i
\(151\) 16.1010i 1.31028i 0.755508 + 0.655140i \(0.227390\pi\)
−0.755508 + 0.655140i \(0.772610\pi\)
\(152\) −16.7661 + 12.0103i −1.35991 + 0.974161i
\(153\) 2.48295 4.54451i 0.200735 0.367402i
\(154\) −5.78258 6.45115i −0.465973 0.519849i
\(155\) 2.92689 0.257699i 0.235093 0.0206989i
\(156\) 12.1797 + 0.549140i 0.975156 + 0.0439664i
\(157\) 16.9235 1.35064 0.675322 0.737523i \(-0.264005\pi\)
0.675322 + 0.737523i \(0.264005\pi\)
\(158\) 14.2597 + 3.06433i 1.13444 + 0.243785i
\(159\) 1.29483 0.0831590i 0.102686 0.00659494i
\(160\) −12.1350 + 3.56948i −0.959358 + 0.282192i
\(161\) −12.9003 17.7558i −1.01669 1.39935i
\(162\) 0.570888 + 12.7151i 0.0448532 + 0.998994i
\(163\) −2.73834 + 3.76900i −0.214483 + 0.295211i −0.902679 0.430314i \(-0.858403\pi\)
0.688196 + 0.725525i \(0.258403\pi\)
\(164\) 6.40195 14.2077i 0.499908 1.10943i
\(165\) 6.30032 6.23608i 0.490480 0.485478i
\(166\) 1.57464 + 3.55809i 0.122216 + 0.276161i
\(167\) −4.13795 12.7353i −0.320205 0.985488i −0.973559 0.228436i \(-0.926639\pi\)
0.653354 0.757052i \(-0.273361\pi\)
\(168\) −8.30309 10.1479i −0.640597 0.782926i
\(169\) −0.189360 0.582791i −0.0145662 0.0448300i
\(170\) −5.36015 + 1.03255i −0.411105 + 0.0791927i
\(171\) 10.4883 19.1966i 0.802063 1.46800i
\(172\) −1.00406 4.82983i −0.0765587 0.368271i
\(173\) 9.79725 + 13.4848i 0.744871 + 1.02523i 0.998324 + 0.0578791i \(0.0184338\pi\)
−0.253453 + 0.967348i \(0.581566\pi\)
\(174\) −14.9204 + 2.50930i −1.13111 + 0.190229i
\(175\) 5.85309 12.0343i 0.442452 0.909711i
\(176\) −4.64844 + 7.88756i −0.350390 + 0.594547i
\(177\) 0.701789 + 0.179214i 0.0527497 + 0.0134705i
\(178\) 10.8617 + 12.1176i 0.814122 + 0.908250i
\(179\) −6.55445 + 20.1725i −0.489903 + 1.50777i 0.334849 + 0.942272i \(0.391315\pi\)
−0.824752 + 0.565494i \(0.808685\pi\)
\(180\) 9.95075 8.99904i 0.741685 0.670749i
\(181\) −5.48943 16.8947i −0.408026 1.25578i −0.918342 0.395788i \(-0.870471\pi\)
0.510315 0.859987i \(-0.329529\pi\)
\(182\) 6.68664 11.5220i 0.495647 0.854069i
\(183\) 7.31619 11.5618i 0.540828 0.854671i
\(184\) −13.7584 + 18.6722i −1.01429 + 1.37653i
\(185\) 13.7585 + 15.8097i 1.01154 + 1.16235i
\(186\) 2.25411 2.29754i 0.165280 0.168464i
\(187\) −2.32234 + 3.19643i −0.169826 + 0.233746i
\(188\) −1.27225 + 11.6052i −0.0927885 + 0.846394i
\(189\) 12.6067 + 5.87213i 0.917002 + 0.427135i
\(190\) −22.6420 + 4.36162i −1.64263 + 0.316425i
\(191\) −5.41887 3.93704i −0.392096 0.284874i 0.374218 0.927341i \(-0.377911\pi\)
−0.766314 + 0.642466i \(0.777911\pi\)
\(192\) −7.56579 + 11.6086i −0.546014 + 0.837776i
\(193\) −5.36336 −0.386063 −0.193032 0.981193i \(-0.561832\pi\)
−0.193032 + 0.981193i \(0.561832\pi\)
\(194\) 2.46624 11.4765i 0.177066 0.823966i
\(195\) 12.1136 + 6.25057i 0.867471 + 0.447613i
\(196\) −0.319885 + 0.0664998i −0.0228489 + 0.00474998i
\(197\) −16.5630 5.38164i −1.18006 0.383426i −0.347674 0.937616i \(-0.613028\pi\)
−0.832391 + 0.554189i \(0.813028\pi\)
\(198\) 0.808977 9.67703i 0.0574915 0.687717i
\(199\) 0.552935i 0.0391965i −0.999808 0.0195983i \(-0.993761\pi\)
0.999808 0.0195983i \(-0.00623872\pi\)
\(200\) −13.9933 2.04664i −0.989473 0.144719i
\(201\) −0.956742 + 0.793590i −0.0674834 + 0.0559755i
\(202\) −1.18523 11.5245i −0.0833924 0.810864i
\(203\) −5.10861 + 15.7227i −0.358554 + 1.10352i
\(204\) −3.72911 + 4.67447i −0.261090 + 0.327278i
\(205\) 13.1428 11.4376i 0.917934 0.798839i
\(206\) 16.8246 + 3.61552i 1.17223 + 0.251905i
\(207\) 4.54664 24.1768i 0.316013 1.68040i
\(208\) −13.7438 3.05007i −0.952962 0.211484i
\(209\) −9.80989 + 13.5022i −0.678564 + 0.933963i
\(210\) −3.68983 14.1875i −0.254622 0.979033i
\(211\) 6.21102 + 8.54873i 0.427584 + 0.588519i 0.967397 0.253266i \(-0.0815049\pi\)
−0.539813 + 0.841785i \(0.681505\pi\)
\(212\) −1.48929 0.163268i −0.102285 0.0112133i
\(213\) −0.00245282 0.0381916i −0.000168064 0.00261684i
\(214\) −6.24263 + 0.642017i −0.426738 + 0.0438874i
\(215\) 1.23772 5.37470i 0.0844117 0.366551i
\(216\) 1.88278 14.5758i 0.128107 0.991760i
\(217\) −1.08677 3.34474i −0.0737749 0.227056i
\(218\) 18.9655 + 11.0064i 1.28451 + 0.745445i
\(219\) −5.35321 + 8.45968i −0.361736 + 0.571652i
\(220\) −8.40784 + 5.83826i −0.566857 + 0.393615i
\(221\) −5.77807 1.87741i −0.388675 0.126288i
\(222\) 22.7090 + 3.37500i 1.52413 + 0.226515i
\(223\) 0.202024 + 0.278062i 0.0135285 + 0.0186204i 0.815728 0.578436i \(-0.196337\pi\)
−0.802199 + 0.597057i \(0.796337\pi\)
\(224\) 7.42306 + 13.1957i 0.495974 + 0.881673i
\(225\) 14.3126 4.48880i 0.954174 0.299253i
\(226\) −0.230617 + 0.397385i −0.0153404 + 0.0264337i
\(227\) 10.2571 7.45219i 0.680785 0.494619i −0.192833 0.981232i \(-0.561768\pi\)
0.873618 + 0.486613i \(0.161768\pi\)
\(228\) −15.7523 + 19.7456i −1.04322 + 1.30768i
\(229\) −8.64338 + 26.6016i −0.571170 + 1.75788i 0.0776936 + 0.996977i \(0.475244\pi\)
−0.648864 + 0.760904i \(0.724756\pi\)
\(230\) −22.7011 + 12.5335i −1.49687 + 0.826436i
\(231\) −8.96618 5.67372i −0.589931 0.373303i
\(232\) 17.4702 + 0.117197i 1.14697 + 0.00769437i
\(233\) 2.61219 0.848752i 0.171130 0.0556036i −0.222199 0.975001i \(-0.571323\pi\)
0.393329 + 0.919398i \(0.371323\pi\)
\(234\) 14.5364 3.41519i 0.950273 0.223258i
\(235\) −6.71646 + 11.1921i −0.438134 + 0.730091i
\(236\) −0.762525 0.343593i −0.0496362 0.0223660i
\(237\) 17.8264 1.14489i 1.15795 0.0743683i
\(238\) 2.64416 + 5.97481i 0.171396 + 0.387289i
\(239\) −0.809300 + 0.587991i −0.0523493 + 0.0380340i −0.613652 0.789576i \(-0.710300\pi\)
0.561303 + 0.827610i \(0.310300\pi\)
\(240\) −13.1100 + 8.25389i −0.846250 + 0.532786i
\(241\) 12.5703 + 9.13283i 0.809721 + 0.588297i 0.913750 0.406277i \(-0.133173\pi\)
−0.104028 + 0.994574i \(0.533173\pi\)
\(242\) 1.71178 7.96564i 0.110037 0.512051i
\(243\) 4.91367 + 14.7938i 0.315212 + 0.949021i
\(244\) −10.6239 + 11.6934i −0.680122 + 0.748593i
\(245\) −0.355971 0.0819753i −0.0227422 0.00523721i
\(246\) 2.80569 18.8783i 0.178884 1.20364i
\(247\) −24.4073 7.93042i −1.55300 0.504601i
\(248\) −3.02136 + 2.16433i −0.191856 + 0.137435i
\(249\) 3.04238 + 3.66785i 0.192803 + 0.232441i
\(250\) −13.2556 8.61917i −0.838356 0.545124i
\(251\) −2.21050 −0.139526 −0.0697629 0.997564i \(-0.522224\pi\)
−0.0697629 + 0.997564i \(0.522224\pi\)
\(252\) −13.1695 9.18947i −0.829598 0.578882i
\(253\) −5.79995 + 17.8504i −0.364640 + 1.12225i
\(254\) −3.89116 4.34105i −0.244153 0.272382i
\(255\) −5.97231 + 3.00459i −0.374001 + 0.188155i
\(256\) 10.9171 11.6969i 0.682317 0.731057i
\(257\) 12.9252i 0.806255i −0.915144 0.403127i \(-0.867923\pi\)
0.915144 0.403127i \(-0.132077\pi\)
\(258\) −2.79414 5.35686i −0.173956 0.333503i
\(259\) 14.7449 20.2947i 0.916207 1.26105i
\(260\) −12.5332 9.52170i −0.777277 0.590511i
\(261\) −16.7461 + 7.93353i −1.03656 + 0.491073i
\(262\) −7.46439 16.8667i −0.461151 1.04203i
\(263\) −11.9011 8.64663i −0.733851 0.533174i 0.156928 0.987610i \(-0.449841\pi\)
−0.890779 + 0.454436i \(0.849841\pi\)
\(264\) −2.84722 + 10.8455i −0.175235 + 0.667497i
\(265\) −1.43628 0.861925i −0.0882301 0.0529476i
\(266\) 11.1693 + 25.2384i 0.684834 + 1.54747i
\(267\) 16.8417 + 10.6573i 1.03069 + 0.652214i
\(268\) 1.24623 0.712102i 0.0761259 0.0434985i
\(269\) 16.6765 5.41853i 1.01679 0.330373i 0.247232 0.968956i \(-0.420479\pi\)
0.769553 + 0.638583i \(0.220479\pi\)
\(270\) 8.72504 13.9239i 0.530989 0.847379i
\(271\) −3.38630 1.10028i −0.205703 0.0668370i 0.204353 0.978897i \(-0.434491\pi\)
−0.410056 + 0.912060i \(0.634491\pi\)
\(272\) 5.17236 4.57411i 0.313621 0.277346i
\(273\) 4.03694 15.8084i 0.244327 0.956768i
\(274\) 5.85357 10.0865i 0.353627 0.609349i
\(275\) −11.2682 + 1.99973i −0.679498 + 0.120588i
\(276\) −9.98593 + 26.5932i −0.601083 + 1.60072i
\(277\) −13.9525 + 10.1371i −0.838324 + 0.609078i −0.921902 0.387423i \(-0.873365\pi\)
0.0835780 + 0.996501i \(0.473365\pi\)
\(278\) −10.9335 12.1976i −0.655749 0.731566i
\(279\) 1.89007 3.45936i 0.113155 0.207107i
\(280\) 1.37148 + 16.8717i 0.0819618 + 1.00828i
\(281\) 7.25718 2.35800i 0.432927 0.140667i −0.0844429 0.996428i \(-0.526911\pi\)
0.517370 + 0.855762i \(0.326911\pi\)
\(282\) 2.37141 + 14.1005i 0.141215 + 0.839673i
\(283\) −18.9661 + 6.16246i −1.12742 + 0.366320i −0.812594 0.582830i \(-0.801945\pi\)
−0.314823 + 0.949150i \(0.601945\pi\)
\(284\) −0.00481568 + 0.0439275i −0.000285758 + 0.00260662i
\(285\) −25.2279 + 12.6918i −1.49437 + 0.751798i
\(286\) −11.3328 + 1.16550i −0.670120 + 0.0689177i
\(287\) −16.8713 12.2577i −0.995881 0.723550i
\(288\) −5.04412 + 16.2036i −0.297228 + 0.954807i
\(289\) −11.3426 + 8.24090i −0.667213 + 0.484759i
\(290\) 17.6887 + 8.28465i 1.03872 + 0.486492i
\(291\) −0.921430 14.3471i −0.0540152 0.841043i
\(292\) 7.77341 8.55598i 0.454904 0.500701i
\(293\) 10.7374i 0.627288i −0.949541 0.313644i \(-0.898450\pi\)
0.949541 0.313644i \(-0.101550\pi\)
\(294\) −0.354790 + 0.185059i −0.0206918 + 0.0107929i
\(295\) −0.613858 0.705375i −0.0357402 0.0410685i
\(296\) −25.1571 8.36102i −1.46222 0.485974i
\(297\) −2.27426 11.6738i −0.131966 0.677381i
\(298\) 1.46881 + 14.2819i 0.0850858 + 0.827329i
\(299\) −28.8609 −1.66907
\(300\) −17.1730 + 2.25533i −0.991486 + 0.130211i
\(301\) −6.60158 −0.380509
\(302\) −2.32949 22.6508i −0.134047 1.30340i
\(303\) −5.24054 13.1858i −0.301061 0.757506i
\(304\) 21.8488 19.3217i 1.25311 1.10817i
\(305\) −16.2556 + 6.91069i −0.930793 + 0.395705i
\(306\) −2.83550 + 6.75243i −0.162095 + 0.386011i
\(307\) 25.7559i 1.46997i 0.678084 + 0.734984i \(0.262810\pi\)
−0.678084 + 0.734984i \(0.737190\pi\)
\(308\) 9.06825 + 8.23882i 0.516711 + 0.469450i
\(309\) 21.0329 1.35082i 1.19652 0.0768455i
\(310\) −4.08024 + 0.785992i −0.231742 + 0.0446414i
\(311\) 10.6715 7.75332i 0.605127 0.439651i −0.242568 0.970134i \(-0.577990\pi\)
0.847695 + 0.530484i \(0.177990\pi\)
\(312\) −17.2138 + 0.989634i −0.974538 + 0.0560270i
\(313\) 23.1320 + 16.8064i 1.30750 + 0.949954i 0.999999 0.00159451i \(-0.000507549\pi\)
0.307500 + 0.951548i \(0.400508\pi\)
\(314\) −23.8079 + 2.44850i −1.34356 + 0.138177i
\(315\) −9.08030 15.4887i −0.511617 0.872689i
\(316\) −20.5038 2.24779i −1.15343 0.126448i
\(317\) −4.14438 + 1.34659i −0.232771 + 0.0756320i −0.423080 0.906092i \(-0.639051\pi\)
0.190309 + 0.981724i \(0.439051\pi\)
\(318\) −1.80952 + 0.304323i −0.101473 + 0.0170656i
\(319\) 13.4458 4.36880i 0.752819 0.244606i
\(320\) 16.5550 6.77721i 0.925455 0.378858i
\(321\) −7.14253 + 2.83871i −0.398657 + 0.158441i
\(322\) 20.7170 + 23.1123i 1.15451 + 1.28800i
\(323\) 10.1830 7.39835i 0.566595 0.411655i
\(324\) −2.64275 17.8049i −0.146819 0.989163i
\(325\) −8.27881 15.5287i −0.459226 0.861380i
\(326\) 3.30698 5.69839i 0.183157 0.315605i
\(327\) 26.0210 + 6.64489i 1.43896 + 0.367463i
\(328\) −6.95065 + 20.9135i −0.383785 + 1.15475i
\(329\) 14.8587 + 4.82788i 0.819186 + 0.266170i
\(330\) −7.96102 + 9.68441i −0.438240 + 0.533109i
\(331\) 24.5671 7.98232i 1.35033 0.438748i 0.457525 0.889197i \(-0.348736\pi\)
0.892802 + 0.450449i \(0.148736\pi\)
\(332\) −2.72998 4.77767i −0.149827 0.262209i
\(333\) 27.8872 3.59689i 1.52821 0.197108i
\(334\) 7.66379 + 17.3173i 0.419344 + 0.947559i
\(335\) 1.59857 0.140747i 0.0873392 0.00768983i
\(336\) 13.1489 + 13.0747i 0.717333 + 0.713282i
\(337\) 21.2843 + 15.4640i 1.15943 + 0.842376i 0.989706 0.143116i \(-0.0457122\pi\)
0.169725 + 0.985492i \(0.445712\pi\)
\(338\) 0.350709 + 0.792469i 0.0190760 + 0.0431046i
\(339\) −0.139231 + 0.545218i −0.00756197 + 0.0296122i
\(340\) 7.39124 2.22809i 0.400846 0.120835i
\(341\) −1.76781 + 2.43318i −0.0957321 + 0.131764i
\(342\) −11.9775 + 28.5232i −0.647672 + 1.54236i
\(343\) 18.2979i 0.987993i
\(344\) 2.11128 + 6.64931i 0.113833 + 0.358507i
\(345\) −22.5719 + 22.3418i −1.21523 + 1.20284i
\(346\) −15.7337 17.5528i −0.845848 0.943644i
\(347\) 0.424321 1.30593i 0.0227787 0.0701058i −0.939021 0.343860i \(-0.888265\pi\)
0.961800 + 0.273754i \(0.0882655\pi\)
\(348\) 20.6269 5.68875i 1.10572 0.304949i
\(349\) 6.04822 0.323754 0.161877 0.986811i \(-0.448245\pi\)
0.161877 + 0.986811i \(0.448245\pi\)
\(350\) −6.49295 + 17.7767i −0.347063 + 0.950203i
\(351\) 15.9914 8.87299i 0.853558 0.473605i
\(352\) 5.39822 11.7687i 0.287726 0.627274i
\(353\) 7.89521 + 2.56531i 0.420219 + 0.136538i 0.511491 0.859288i \(-0.329093\pi\)
−0.0912719 + 0.995826i \(0.529093\pi\)
\(354\) −1.01320 0.150582i −0.0538510 0.00800332i
\(355\) −0.0254229 + 0.0423638i −0.00134931 + 0.00224844i
\(356\) −17.0334 15.4754i −0.902768 0.820196i
\(357\) 5.10882 + 6.15913i 0.270387 + 0.325976i
\(358\) 6.30220 29.3269i 0.333081 1.54997i
\(359\) 8.76883 + 6.37093i 0.462801 + 0.336245i 0.794629 0.607095i \(-0.207665\pi\)
−0.331828 + 0.943340i \(0.607665\pi\)
\(360\) −12.6967 + 14.0995i −0.669173 + 0.743107i
\(361\) 27.6429 20.0837i 1.45489 1.05704i
\(362\) 10.1668 + 22.9732i 0.534357 + 1.20744i
\(363\) −0.639548 9.95808i −0.0335676 0.522664i
\(364\) −7.73971 + 17.1765i −0.405671 + 0.900295i
\(365\) 11.8941 5.05651i 0.622566 0.264670i
\(366\) −8.61961 + 17.3235i −0.450554 + 0.905516i
\(367\) 8.52995 2.77155i 0.445260 0.144674i −0.0778012 0.996969i \(-0.524790\pi\)
0.523061 + 0.852295i \(0.324790\pi\)
\(368\) 16.6538 28.2584i 0.868139 1.47307i
\(369\) −2.99015 23.1831i −0.155661 1.20686i
\(370\) −21.6427 20.2503i −1.12515 1.05276i
\(371\) −0.619563 + 1.90682i −0.0321661 + 0.0989972i
\(372\) −2.83866 + 3.55828i −0.147178 + 0.184488i
\(373\) 2.04089 1.48279i 0.105673 0.0767762i −0.533694 0.845678i \(-0.679196\pi\)
0.639367 + 0.768902i \(0.279196\pi\)
\(374\) 2.80459 4.83271i 0.145022 0.249894i
\(375\) −18.4959 5.73614i −0.955122 0.296213i
\(376\) 0.110757 16.5102i 0.00571186 0.851446i
\(377\) 12.7781 + 17.5876i 0.658107 + 0.905807i
\(378\) −18.5846 6.43693i −0.955889 0.331080i
\(379\) −26.3233 8.55294i −1.35213 0.439335i −0.458725 0.888578i \(-0.651694\pi\)
−0.893410 + 0.449243i \(0.851694\pi\)
\(380\) 31.2216 9.41175i 1.60163 0.482813i
\(381\) −6.03343 3.81790i −0.309102 0.195597i
\(382\) 8.19285 + 4.75460i 0.419182 + 0.243267i
\(383\) 6.76658 + 20.8254i 0.345756 + 1.06413i 0.961178 + 0.275930i \(0.0889858\pi\)
−0.615422 + 0.788198i \(0.711014\pi\)
\(384\) 8.96398 17.4255i 0.457441 0.889240i
\(385\) 5.35926 + 12.6062i 0.273133 + 0.642474i
\(386\) 7.54514 0.775972i 0.384038 0.0394960i
\(387\) −5.07946 5.38088i −0.258203 0.273525i
\(388\) −1.80907 + 16.5019i −0.0918416 + 0.837757i
\(389\) −0.458545 0.631134i −0.0232492 0.0319997i 0.797234 0.603670i \(-0.206296\pi\)
−0.820483 + 0.571670i \(0.806296\pi\)
\(390\) −17.9456 7.04067i −0.908712 0.356518i
\(391\) 8.32016 11.4517i 0.420769 0.579138i
\(392\) 0.440390 0.139832i 0.0222431 0.00706260i
\(393\) −14.4220 17.3870i −0.727495 0.877059i
\(394\) 24.0793 + 5.17452i 1.21310 + 0.260689i
\(395\) −19.7739 11.8665i −0.994933 0.597068i
\(396\) 0.262011 + 13.7306i 0.0131666 + 0.689990i
\(397\) 8.07064 24.8389i 0.405054 1.24663i −0.515796 0.856711i \(-0.672504\pi\)
0.920850 0.389917i \(-0.127496\pi\)
\(398\) 0.0799988 + 0.777865i 0.00400998 + 0.0389909i
\(399\) 21.5803 + 26.0170i 1.08037 + 1.30248i
\(400\) 19.9817 + 0.854655i 0.999087 + 0.0427327i
\(401\) 34.6680i 1.73124i 0.500706 + 0.865618i \(0.333074\pi\)
−0.500706 + 0.865618i \(0.666926\pi\)
\(402\) 1.23112 1.25484i 0.0614028 0.0625857i
\(403\) −4.39836 1.42911i −0.219098 0.0711893i
\(404\) 3.33474 + 16.0412i 0.165910 + 0.798078i
\(405\) 5.63801 19.3187i 0.280155 0.959955i
\(406\) 4.91199 22.8577i 0.243778 1.13441i
\(407\) −21.4528 −1.06338
\(408\) 4.56978 7.11554i 0.226238 0.352272i
\(409\) 0.542682 + 0.394282i 0.0268339 + 0.0194960i 0.601121 0.799158i \(-0.294721\pi\)
−0.574287 + 0.818654i \(0.694721\pi\)
\(410\) −16.8344 + 17.9919i −0.831393 + 0.888556i
\(411\) 3.53399 13.8389i 0.174319 0.682621i
\(412\) −24.1918 2.65210i −1.19185 0.130660i
\(413\) −0.657872 + 0.905483i −0.0323718 + 0.0445559i
\(414\) −2.89829 + 34.6695i −0.142443 + 1.70391i
\(415\) −0.539580 6.12842i −0.0264869 0.300832i
\(416\) 19.7760 + 2.30236i 0.969598 + 0.112883i
\(417\) −16.9530 10.7277i −0.830190 0.525337i
\(418\) 11.8470 20.4140i 0.579455 0.998483i
\(419\) −0.661155 2.03483i −0.0322996 0.0994078i 0.933607 0.358299i \(-0.116643\pi\)
−0.965907 + 0.258891i \(0.916643\pi\)
\(420\) 7.24348 + 19.4251i 0.353446 + 0.947847i
\(421\) −2.38764 + 7.34841i −0.116367 + 0.358140i −0.992230 0.124420i \(-0.960293\pi\)
0.875863 + 0.482560i \(0.160293\pi\)
\(422\) −9.97445 11.1277i −0.485549 0.541687i
\(423\) 7.49757 + 15.8259i 0.364545 + 0.769481i
\(424\) 2.11875 + 0.0142135i 0.102896 + 0.000690268i
\(425\) 8.54829 + 1.19175i 0.414653 + 0.0578084i
\(426\) 0.00897617 + 0.0533728i 0.000434897 + 0.00258592i
\(427\) 12.4271 + 17.1045i 0.601391 + 0.827744i
\(428\) 8.68921 1.80637i 0.420009 0.0873142i
\(429\) −12.9664 + 5.15333i −0.626024 + 0.248805i
\(430\) −0.963602 + 7.74016i −0.0464690 + 0.373264i
\(431\) 10.3765 + 31.9356i 0.499819 + 1.53828i 0.809310 + 0.587381i \(0.199841\pi\)
−0.309492 + 0.950902i \(0.600159\pi\)
\(432\) −0.539841 + 20.7776i −0.0259731 + 0.999663i
\(433\) 7.66365 + 23.5863i 0.368291 + 1.13348i 0.947894 + 0.318585i \(0.103208\pi\)
−0.579603 + 0.814899i \(0.696792\pi\)
\(434\) 2.01278 + 4.54813i 0.0966166 + 0.218317i
\(435\) 23.6085 + 3.86334i 1.13194 + 0.185233i
\(436\) −28.2730 12.7397i −1.35403 0.610123i
\(437\) 35.1455 48.3736i 1.68124 2.31402i
\(438\) 6.30691 12.6755i 0.301356 0.605660i
\(439\) 0.770658 + 1.06072i 0.0367815 + 0.0506254i 0.827012 0.562185i \(-0.190039\pi\)
−0.790230 + 0.612810i \(0.790039\pi\)
\(440\) 10.9834 9.42967i 0.523614 0.449542i
\(441\) −0.356381 + 0.336417i −0.0169705 + 0.0160199i
\(442\) 8.40017 + 1.80515i 0.399555 + 0.0858624i
\(443\) −5.40886 −0.256983 −0.128491 0.991711i \(-0.541013\pi\)
−0.128491 + 0.991711i \(0.541013\pi\)
\(444\) −32.4351 1.46239i −1.53930 0.0694019i
\(445\) −10.0666 23.6790i −0.477202 1.12249i
\(446\) −0.324436 0.361947i −0.0153625 0.0171387i
\(447\) 6.49441 + 16.3407i 0.307175 + 0.772889i
\(448\) −12.3519 17.4896i −0.583571 0.826306i
\(449\) 4.98553i 0.235282i 0.993056 + 0.117641i \(0.0375332\pi\)
−0.993056 + 0.117641i \(0.962467\pi\)
\(450\) −19.4854 + 8.38557i −0.918552 + 0.395299i
\(451\) 17.8341i 0.839774i
\(452\) 0.266936 0.592404i 0.0125556 0.0278643i
\(453\) −10.3000 25.9159i −0.483934 1.21764i
\(454\) −13.3514 + 11.9677i −0.626611 + 0.561671i
\(455\) −15.8892 + 13.8277i −0.744896 + 0.648251i
\(456\) 19.3034 30.0570i 0.903964 1.40755i
\(457\) −28.9239 −1.35300 −0.676501 0.736441i \(-0.736505\pi\)
−0.676501 + 0.736441i \(0.736505\pi\)
\(458\) 8.31072 38.6734i 0.388335 1.80709i
\(459\) −1.08936 + 8.90316i −0.0508470 + 0.415564i
\(460\) 30.1224 20.9165i 1.40447 0.975236i
\(461\) −12.1101 16.6681i −0.564022 0.776310i 0.427809 0.903869i \(-0.359286\pi\)
−0.991831 + 0.127559i \(0.959286\pi\)
\(462\) 13.4344 + 6.68452i 0.625026 + 0.310992i
\(463\) 0.364485 0.501670i 0.0169390 0.0233146i −0.800463 0.599382i \(-0.795413\pi\)
0.817403 + 0.576067i \(0.195413\pi\)
\(464\) −24.5939 + 2.36271i −1.14174 + 0.109686i
\(465\) −4.54623 + 2.28715i −0.210826 + 0.106064i
\(466\) −3.55201 + 1.57195i −0.164544 + 0.0728192i
\(467\) 12.8476 + 39.5410i 0.594518 + 1.82974i 0.557112 + 0.830438i \(0.311910\pi\)
0.0374063 + 0.999300i \(0.488090\pi\)
\(468\) −19.9556 + 6.90759i −0.922447 + 0.319303i
\(469\) −0.593560 1.82679i −0.0274080 0.0843533i
\(470\) 7.82940 16.7167i 0.361143 0.771083i
\(471\) −27.2399 + 10.8262i −1.25515 + 0.498843i
\(472\) 1.12243 + 0.373041i 0.0516639 + 0.0171706i
\(473\) 3.31838 + 4.56736i 0.152579 + 0.210007i
\(474\) −24.9125 + 4.18975i −1.14427 + 0.192442i
\(475\) 36.1091 + 5.03412i 1.65680 + 0.230981i
\(476\) −4.58423 8.02276i −0.210118 0.367723i
\(477\) −2.03094 + 0.962165i −0.0929903 + 0.0440545i
\(478\) 1.05345 0.944271i 0.0481836 0.0431900i
\(479\) 2.79806 8.61154i 0.127847 0.393471i −0.866562 0.499069i \(-0.833676\pi\)
0.994409 + 0.105598i \(0.0336755\pi\)
\(480\) 17.2490 13.5083i 0.787303 0.616566i
\(481\) −10.1938 31.3732i −0.464797 1.43050i
\(482\) −19.0051 11.0293i −0.865658 0.502372i
\(483\) 32.1228 + 20.3270i 1.46164 + 0.924911i
\(484\) −1.25564 + 11.4537i −0.0570747 + 0.520621i
\(485\) −9.55043 + 15.9145i −0.433663 + 0.722640i
\(486\) −9.05288 20.1009i −0.410647 0.911794i
\(487\) −8.79857 + 12.1102i −0.398701 + 0.548765i −0.960417 0.278565i \(-0.910141\pi\)
0.561716 + 0.827330i \(0.310141\pi\)
\(488\) 13.2538 17.9872i 0.599970 0.814244i
\(489\) 1.99653 7.81828i 0.0902862 0.353555i
\(490\) 0.512638 + 0.0638203i 0.0231586 + 0.00288311i
\(491\) −14.2576 10.3587i −0.643435 0.467483i 0.217593 0.976040i \(-0.430179\pi\)
−0.861029 + 0.508556i \(0.830179\pi\)
\(492\) −1.21571 + 26.9639i −0.0548083 + 1.21562i
\(493\) −10.6623 −0.480206
\(494\) 35.4835 + 7.62521i 1.59648 + 0.343074i
\(495\) −6.15164 + 14.0679i −0.276496 + 0.632305i
\(496\) 3.93729 3.48189i 0.176790 0.156342i
\(497\) 0.0562426 + 0.0182743i 0.00252283 + 0.000819716i
\(498\) −4.81066 4.71974i −0.215571 0.211497i
\(499\) 37.6563i 1.68573i −0.538127 0.842864i \(-0.680868\pi\)
0.538127 0.842864i \(-0.319132\pi\)
\(500\) 19.8949 + 10.2076i 0.889725 + 0.456496i
\(501\) 14.8073 + 17.8515i 0.661542 + 0.797547i
\(502\) 3.10972 0.319816i 0.138794 0.0142741i
\(503\) 8.99503 27.6838i 0.401068 1.23436i −0.523065 0.852293i \(-0.675212\pi\)
0.924134 0.382069i \(-0.124788\pi\)
\(504\) 19.8562 + 11.0223i 0.884467 + 0.490973i
\(505\) −4.11079 + 17.8508i −0.182928 + 0.794350i
\(506\) 5.57673 25.9510i 0.247916 1.15366i
\(507\) 0.677609 + 0.816917i 0.0300937 + 0.0362805i
\(508\) 6.10211 + 5.54398i 0.270738 + 0.245975i
\(509\) −10.9017 + 15.0049i −0.483209 + 0.665080i −0.979118 0.203295i \(-0.934835\pi\)
0.495909 + 0.868375i \(0.334835\pi\)
\(510\) 7.96711 5.09092i 0.352789 0.225430i
\(511\) −9.09285 12.5152i −0.402244 0.553642i
\(512\) −13.6658 + 18.0346i −0.603947 + 0.797025i
\(513\) −4.60161 + 37.6082i −0.203166 + 1.66044i
\(514\) 1.87003 + 18.1832i 0.0824834 + 0.802024i
\(515\) −23.3307 14.0010i −1.02807 0.616956i
\(516\) 4.70581 + 7.13173i 0.207162 + 0.313957i
\(517\) −4.12873 12.7069i −0.181581 0.558850i
\(518\) −17.8069 + 30.6837i −0.782388 + 1.34817i
\(519\) −24.3959 15.4375i −1.07086 0.677631i
\(520\) 19.0092 + 11.5818i 0.833611 + 0.507894i
\(521\) 15.9028 + 5.16714i 0.696715 + 0.226377i 0.635899 0.771772i \(-0.280630\pi\)
0.0608165 + 0.998149i \(0.480630\pi\)
\(522\) 22.4105 13.5837i 0.980880 0.594541i
\(523\) −14.7263 20.2690i −0.643936 0.886302i 0.354882 0.934911i \(-0.384521\pi\)
−0.998818 + 0.0486095i \(0.984521\pi\)
\(524\) 12.9411 + 22.6480i 0.565336 + 0.989383i
\(525\) −1.72256 + 23.1146i −0.0751787 + 1.00880i
\(526\) 17.9933 + 10.4422i 0.784547 + 0.455300i
\(527\) 1.83504 1.33323i 0.0799355 0.0580765i
\(528\) 2.43632 15.6694i 0.106027 0.681922i
\(529\) 13.6719 42.0776i 0.594428 1.82946i
\(530\) 2.14526 + 1.00475i 0.0931839 + 0.0436435i
\(531\) −1.24424 + 0.160482i −0.0539952 + 0.00696431i
\(532\) −19.3644 33.8892i −0.839553 1.46928i
\(533\) −26.0811 + 8.47426i −1.12970 + 0.367061i
\(534\) −25.2346 12.5559i −1.09201 0.543348i
\(535\) 9.66945 + 2.22674i 0.418047 + 0.0962704i
\(536\) −1.65017 + 1.18209i −0.0712764 + 0.0510583i
\(537\) −2.35461 36.6624i −0.101609 1.58210i
\(538\) −22.6765 + 10.0355i −0.977652 + 0.432662i
\(539\) 0.302501 0.219780i 0.0130296 0.00946658i
\(540\) −10.2598 + 20.8503i −0.441512 + 0.897255i
\(541\) 7.95973 + 5.78309i 0.342216 + 0.248634i 0.745596 0.666398i \(-0.232165\pi\)
−0.403380 + 0.915032i \(0.632165\pi\)
\(542\) 4.92301 + 1.05793i 0.211461 + 0.0454420i
\(543\) 19.6435 + 23.6819i 0.842981 + 1.01629i
\(544\) −6.61466 + 7.18317i −0.283601 + 0.307976i
\(545\) −22.7607 26.1539i −0.974960 1.12031i
\(546\) −3.39198 + 22.8232i −0.145163 + 0.976744i
\(547\) −12.5604 4.08111i −0.537043 0.174496i 0.0279231 0.999610i \(-0.491111\pi\)
−0.564966 + 0.825114i \(0.691111\pi\)
\(548\) −6.77544 + 15.0366i −0.289433 + 0.642330i
\(549\) −4.37987 + 23.2899i −0.186928 + 0.993990i
\(550\) 15.5627 4.44350i 0.663596 0.189471i
\(551\) −45.0390 −1.91873
\(552\) 10.2006 38.8559i 0.434168 1.65382i
\(553\) −8.52980 + 26.2520i −0.362724 + 1.11635i
\(554\) 18.1616 16.2794i 0.771614 0.691646i
\(555\) −32.2590 16.6456i −1.36932 0.706566i
\(556\) 17.1460 + 15.5777i 0.727151 + 0.660642i
\(557\) 20.6966i 0.876944i 0.898745 + 0.438472i \(0.144480\pi\)
−0.898745 + 0.438472i \(0.855520\pi\)
\(558\) −2.15843 + 5.14006i −0.0913738 + 0.217596i
\(559\) −5.10264 + 7.02318i −0.215819 + 0.297049i
\(560\) −4.37039 23.5365i −0.184683 0.994600i
\(561\) 1.69322 6.63056i 0.0714880 0.279942i
\(562\) −9.86820 + 4.36719i −0.416265 + 0.184219i
\(563\) 33.0338 + 24.0005i 1.39221 + 1.01150i 0.995619 + 0.0935044i \(0.0298069\pi\)
0.396591 + 0.917995i \(0.370193\pi\)
\(564\) −5.37615 19.4934i −0.226377 0.820821i
\(565\) 0.548004 0.476905i 0.0230547 0.0200635i
\(566\) 25.7898 11.4133i 1.08403 0.479738i
\(567\) −24.0480 1.38707i −1.00992 0.0582516i
\(568\) 0.000419234 0.0624937i 1.75907e−5 0.00262218i
\(569\) −6.61041 + 2.14785i −0.277123 + 0.0900426i −0.444281 0.895887i \(-0.646541\pi\)
0.167158 + 0.985930i \(0.446541\pi\)
\(570\) 33.6541 21.5047i 1.40962 0.900734i
\(571\) 23.5527 + 7.65273i 0.985649 + 0.320257i 0.757117 0.653280i \(-0.226607\pi\)
0.228532 + 0.973536i \(0.426607\pi\)
\(572\) 15.7742 3.27925i 0.659553 0.137112i
\(573\) 11.2407 + 2.87050i 0.469588 + 0.119917i
\(574\) 25.5079 + 14.8031i 1.06468 + 0.617871i
\(575\) 40.3701 7.16436i 1.68355 0.298774i
\(576\) 4.75169 23.5249i 0.197987 0.980205i
\(577\) −13.0154 + 9.45623i −0.541838 + 0.393668i −0.824767 0.565473i \(-0.808694\pi\)
0.282929 + 0.959141i \(0.408694\pi\)
\(578\) 14.7644 13.2343i 0.614120 0.550474i
\(579\) 8.63280 3.43100i 0.358767 0.142587i
\(580\) −26.0830 9.09559i −1.08304 0.377674i
\(581\) −7.00334 + 2.27552i −0.290547 + 0.0944046i
\(582\) 3.37201 + 20.0501i 0.139774 + 0.831105i
\(583\) 1.63068 0.529841i 0.0675360 0.0219438i
\(584\) −9.69770 + 13.1612i −0.401293 + 0.544612i
\(585\) −23.4964 2.31167i −0.971457 0.0955757i
\(586\) 1.55350 + 15.1054i 0.0641743 + 0.623997i
\(587\) −8.32167 6.04605i −0.343472 0.249547i 0.402653 0.915353i \(-0.368088\pi\)
−0.746125 + 0.665806i \(0.768088\pi\)
\(588\) 0.472342 0.311671i 0.0194790 0.0128531i
\(589\) 7.75144 5.63175i 0.319393 0.232052i
\(590\) 0.965625 + 0.903504i 0.0397542 + 0.0371967i
\(591\) 30.1023 1.93329i 1.23824 0.0795249i
\(592\) 36.6005 + 8.12249i 1.50427 + 0.333832i
\(593\) 3.83939i 0.157665i −0.996888 0.0788325i \(-0.974881\pi\)
0.996888 0.0788325i \(-0.0251192\pi\)
\(594\) 4.88837 + 16.0935i 0.200572 + 0.660326i
\(595\) −0.906073 10.2910i −0.0371454 0.421888i
\(596\) −4.13262 19.8792i −0.169279 0.814284i
\(597\) 0.353718 + 0.889997i 0.0144767 + 0.0364252i
\(598\) 40.6014 4.17561i 1.66031 0.170753i
\(599\) 46.4231 1.89680 0.948399 0.317079i \(-0.102702\pi\)
0.948399 + 0.317079i \(0.102702\pi\)
\(600\) 23.8326 5.65738i 0.972963 0.230962i
\(601\) 40.1233 1.63666 0.818332 0.574746i \(-0.194899\pi\)
0.818332 + 0.574746i \(0.194899\pi\)
\(602\) 9.28706 0.955118i 0.378512 0.0389277i
\(603\) 1.03229 1.88939i 0.0420382 0.0769419i
\(604\) 6.55423 + 31.5279i 0.266688 + 1.28285i
\(605\) −6.62878 + 11.0460i −0.269498 + 0.449082i
\(606\) 9.28009 + 17.7915i 0.376978 + 0.722732i
\(607\) 13.8983i 0.564114i −0.959398 0.282057i \(-0.908983\pi\)
0.959398 0.282057i \(-0.0910168\pi\)
\(608\) −27.9412 + 30.3427i −1.13317 + 1.23056i
\(609\) −1.83520 28.5750i −0.0743663 1.15792i
\(610\) 21.8684 12.0738i 0.885427 0.488853i
\(611\) 16.6211 12.0760i 0.672419 0.488541i
\(612\) 3.01202 9.90951i 0.121754 0.400568i
\(613\) −31.0010 22.5236i −1.25212 0.909719i −0.253777 0.967263i \(-0.581673\pi\)
−0.998343 + 0.0575441i \(0.981673\pi\)
\(614\) −3.72637 36.2333i −0.150384 1.46226i
\(615\) −13.8377 + 26.8175i −0.557992 + 1.08138i
\(616\) −13.9491 10.2783i −0.562027 0.414125i
\(617\) −22.7574 + 7.39434i −0.916180 + 0.297685i −0.728899 0.684622i \(-0.759967\pi\)
−0.187281 + 0.982306i \(0.559967\pi\)
\(618\) −29.3935 + 4.94337i −1.18238 + 0.198852i
\(619\) −18.4227 + 5.98591i −0.740472 + 0.240594i −0.654877 0.755736i \(-0.727279\pi\)
−0.0855958 + 0.996330i \(0.527279\pi\)
\(620\) 5.62634 1.69606i 0.225959 0.0681154i
\(621\) 8.14790 + 41.8231i 0.326964 + 1.67830i
\(622\) −13.8909 + 12.4513i −0.556974 + 0.499251i
\(623\) −24.9156 + 18.1022i −0.998221 + 0.725250i
\(624\) 24.0730 3.88270i 0.963693 0.155432i
\(625\) 15.4350 + 19.6662i 0.617402 + 0.786648i
\(626\) −34.9735 20.2964i −1.39782 0.811206i
\(627\) 7.15241 28.0084i 0.285640 1.11855i
\(628\) 33.1386 6.88907i 1.32237 0.274904i
\(629\) 15.3873 + 4.99963i 0.613531 + 0.199348i
\(630\) 15.0150 + 20.4756i 0.598212 + 0.815769i
\(631\) −40.4375 + 13.1389i −1.60979 + 0.523053i −0.969502 0.245082i \(-0.921185\pi\)
−0.640288 + 0.768135i \(0.721185\pi\)
\(632\) 29.1698 + 0.195683i 1.16031 + 0.00778386i
\(633\) −15.4659 9.78668i −0.614714 0.388986i
\(634\) 5.63546 2.49398i 0.223813 0.0990487i
\(635\) 3.60630 + 8.48287i 0.143112 + 0.336632i
\(636\) 2.50159 0.689922i 0.0991947 0.0273572i
\(637\) 0.465152 + 0.337953i 0.0184300 + 0.0133902i
\(638\) −18.2834 + 8.09134i −0.723845 + 0.320339i
\(639\) 0.0283796 + 0.0599036i 0.00112268 + 0.00236975i
\(640\) −22.3090 + 11.9293i −0.881840 + 0.471548i
\(641\) −17.7437 + 24.4221i −0.700834 + 0.964615i 0.299112 + 0.954218i \(0.403310\pi\)
−0.999946 + 0.0103974i \(0.996690\pi\)
\(642\) 9.63736 5.02686i 0.380356 0.198394i
\(643\) 23.0968i 0.910848i −0.890275 0.455424i \(-0.849488\pi\)
0.890275 0.455424i \(-0.150512\pi\)
\(644\) −32.4884 29.5169i −1.28022 1.16313i
\(645\) 1.44603 + 9.44282i 0.0569374 + 0.371811i
\(646\) −13.2549 + 11.8812i −0.521508 + 0.467461i
\(647\) −3.81823 + 11.7513i −0.150110 + 0.461991i −0.997633 0.0687679i \(-0.978093\pi\)
0.847523 + 0.530759i \(0.178093\pi\)
\(648\) 6.29382 + 24.6655i 0.247245 + 0.968953i
\(649\) 0.957155 0.0375716
\(650\) 13.8933 + 20.6480i 0.544939 + 0.809879i
\(651\) 3.88892 + 4.68843i 0.152419 + 0.183754i
\(652\) −3.82779 + 8.49492i −0.149908 + 0.332687i
\(653\) −36.9494 12.0056i −1.44594 0.469816i −0.522199 0.852824i \(-0.674888\pi\)
−0.923745 + 0.383008i \(0.874888\pi\)
\(654\) −37.5675 5.58327i −1.46901 0.218323i
\(655\) 2.55782 + 29.0511i 0.0999421 + 1.13512i
\(656\) 6.75236 30.4266i 0.263635 1.18796i
\(657\) 3.20472 17.0411i 0.125028 0.664836i
\(658\) −21.6016 4.64207i −0.842119 0.180967i
\(659\) −25.6648 18.6466i −0.999759 0.726367i −0.0377226 0.999288i \(-0.512010\pi\)
−0.962037 + 0.272921i \(0.912010\pi\)
\(660\) 9.79837 14.7758i 0.381401 0.575146i
\(661\) 4.99498 3.62906i 0.194282 0.141154i −0.486392 0.873741i \(-0.661687\pi\)
0.680674 + 0.732587i \(0.261687\pi\)
\(662\) −33.4059 + 14.7838i −1.29836 + 0.574590i
\(663\) 10.5013 0.674436i 0.407837 0.0261929i
\(664\) 4.53175 + 6.32623i 0.175866 + 0.245505i
\(665\) −3.82738 43.4704i −0.148419 1.68571i
\(666\) −38.7111 + 9.09481i −1.50003 + 0.352417i
\(667\) −48.1717 + 15.6519i −1.86521 + 0.606045i
\(668\) −13.2868 23.2530i −0.514083 0.899687i
\(669\) −0.503054 0.318328i −0.0194492 0.0123073i
\(670\) −2.22849 + 0.429283i −0.0860942 + 0.0165847i
\(671\) 5.58720 17.1956i 0.215691 0.663830i
\(672\) −20.3895 16.4910i −0.786541 0.636153i
\(673\) −34.1691 + 24.8253i −1.31712 + 0.956946i −0.317160 + 0.948372i \(0.602729\pi\)
−0.999963 + 0.00857423i \(0.997271\pi\)
\(674\) −32.1800 18.6752i −1.23953 0.719341i
\(675\) −20.1659 + 16.3810i −0.776184 + 0.630506i
\(676\) −0.608029 1.06410i −0.0233857 0.0409269i
\(677\) 28.5615 + 39.3115i 1.09771 + 1.51086i 0.838391 + 0.545070i \(0.183497\pi\)
0.259315 + 0.965793i \(0.416503\pi\)
\(678\) 0.116986 0.787153i 0.00449284 0.0302304i
\(679\) 21.1282 + 6.86497i 0.810827 + 0.263454i
\(680\) −10.0756 + 4.20383i −0.386381 + 0.161209i
\(681\) −11.7424 + 18.5565i −0.449969 + 0.711086i
\(682\) 2.13491 3.67874i 0.0817498 0.140866i
\(683\) −3.75080 11.5438i −0.143520 0.441710i 0.853298 0.521424i \(-0.174599\pi\)
−0.996818 + 0.0797145i \(0.974599\pi\)
\(684\) 12.7232 41.8591i 0.486484 1.60052i
\(685\) −13.9096 + 12.1049i −0.531458 + 0.462505i
\(686\) 2.64734 + 25.7414i 0.101076 + 0.982809i
\(687\) −3.10503 48.3468i −0.118464 1.84455i
\(688\) −3.93216 9.04875i −0.149912 0.344980i
\(689\) 1.54971 + 2.13299i 0.0590393 + 0.0812606i
\(690\) 28.5216 34.6959i 1.08580 1.32085i
\(691\) −3.28043 + 4.51512i −0.124793 + 0.171763i −0.866842 0.498582i \(-0.833854\pi\)
0.742049 + 0.670346i \(0.233854\pi\)
\(692\) 24.6736 + 22.4168i 0.937949 + 0.852159i
\(693\) 18.0614 + 3.39659i 0.686095 + 0.129026i
\(694\) −0.407990 + 1.89856i −0.0154871 + 0.0720683i
\(695\) 10.1331 + 23.8355i 0.384371 + 0.904132i
\(696\) −28.1947 + 10.9872i −1.06872 + 0.416469i
\(697\) 4.15627 12.7917i 0.157430 0.484520i
\(698\) −8.50860 + 0.875058i −0.322055 + 0.0331214i
\(699\) −3.66159 + 3.03718i −0.138494 + 0.114877i
\(700\) 6.56231 25.9475i 0.248032 0.980723i
\(701\) 17.6170i 0.665384i 0.943036 + 0.332692i \(0.107957\pi\)
−0.943036 + 0.332692i \(0.892043\pi\)
\(702\) −21.2128 + 14.7961i −0.800627 + 0.558443i
\(703\) 64.9980 + 21.1191i 2.45144 + 0.796523i
\(704\) −5.89149 + 17.3372i −0.222044 + 0.653419i
\(705\) 3.65105 22.3112i 0.137506 0.840289i
\(706\) −11.4781 2.46658i −0.431983 0.0928309i
\(707\) 21.9256 0.824597
\(708\) 1.44715 + 0.0652470i 0.0543873 + 0.00245213i
\(709\) 7.54144 + 5.47917i 0.283225 + 0.205775i 0.720323 0.693639i \(-0.243994\pi\)
−0.437098 + 0.899414i \(0.643994\pi\)
\(710\) 0.0296356 0.0632754i 0.00111220 0.00237468i
\(711\) −27.9608 + 13.2465i −1.04861 + 0.496784i
\(712\) 26.2015 + 19.3063i 0.981941 + 0.723536i
\(713\) 6.33345 8.71724i 0.237189 0.326463i
\(714\) −8.07816 7.92548i −0.302317 0.296604i
\(715\) 17.5537 + 4.04238i 0.656472 + 0.151176i
\(716\) −4.62287 + 42.1687i −0.172765 + 1.57592i
\(717\) 0.926495 1.46414i 0.0346006 0.0546793i
\(718\) −13.2577 7.69390i −0.494772 0.287134i
\(719\) 1.78258 + 5.48623i 0.0664792 + 0.204602i 0.978778 0.204923i \(-0.0656944\pi\)
−0.912299 + 0.409525i \(0.865694\pi\)
\(720\) 15.8217 21.6720i 0.589639 0.807667i
\(721\) −10.0641 + 30.9740i −0.374806 + 1.15353i
\(722\) −35.9821 + 32.2530i −1.33912 + 1.20033i
\(723\) −26.0753 6.65876i −0.969750 0.247642i
\(724\) −17.6264 30.8476i −0.655080 1.14644i
\(725\) −22.2397 21.4292i −0.825961 0.795859i
\(726\) 2.34045 + 13.9164i 0.0868622 + 0.516487i
\(727\) −11.1238 15.3106i −0.412559 0.567839i 0.551281 0.834320i \(-0.314139\pi\)
−0.963840 + 0.266481i \(0.914139\pi\)
\(728\) 8.40307 25.2836i 0.311439 0.937073i
\(729\) −17.3727 20.6686i −0.643433 0.765502i
\(730\) −16.0010 + 8.83431i −0.592223 + 0.326972i
\(731\) −1.31571 4.04935i −0.0486634 0.149771i
\(732\) 9.61964 25.6177i 0.355552 0.946858i
\(733\) 1.69847 + 5.22735i 0.0627343 + 0.193076i 0.977511 0.210883i \(-0.0676338\pi\)
−0.914777 + 0.403959i \(0.867634\pi\)
\(734\) −11.5989 + 5.13311i −0.428123 + 0.189467i
\(735\) 0.625407 0.0957721i 0.0230685 0.00353261i
\(736\) −19.3400 + 42.1633i −0.712882 + 1.55416i
\(737\) −0.965518 + 1.32892i −0.0355653 + 0.0489514i
\(738\) 7.56066 + 32.1812i 0.278312 + 1.18461i
\(739\) −19.9136 27.4088i −0.732535 1.00825i −0.999014 0.0444072i \(-0.985860\pi\)
0.266478 0.963841i \(-0.414140\pi\)
\(740\) 33.3766 + 25.3568i 1.22695 + 0.932134i
\(741\) 44.3589 2.84891i 1.62957 0.104657i
\(742\) 0.595719 2.77214i 0.0218695 0.101768i
\(743\) −30.2559 −1.10998 −0.554990 0.831857i \(-0.687278\pi\)
−0.554990 + 0.831857i \(0.687278\pi\)
\(744\) 3.47860 5.41647i 0.127532 0.198577i
\(745\) 5.09435 22.1218i 0.186642 0.810480i
\(746\) −2.65658 + 2.38126i −0.0972644 + 0.0871842i
\(747\) −7.24333 3.95749i −0.265020 0.144797i
\(748\) −3.24629 + 7.20440i −0.118696 + 0.263419i
\(749\) 11.8767i 0.433965i
\(750\) 26.8498 + 5.39358i 0.980414 + 0.196946i
\(751\) 12.7543i 0.465412i 0.972547 + 0.232706i \(0.0747580\pi\)
−0.972547 + 0.232706i \(0.925242\pi\)
\(752\) 2.23288 + 23.2424i 0.0814248 + 0.847563i
\(753\) 3.55800 1.41408i 0.129661 0.0515320i
\(754\) −20.5208 22.8934i −0.747322 0.833727i
\(755\) −8.07950 + 35.0846i −0.294043 + 1.27686i
\(756\) 27.0760 + 6.36661i 0.984744 + 0.231551i
\(757\) −11.9898 −0.435777 −0.217889 0.975974i \(-0.569917\pi\)
−0.217889 + 0.975974i \(0.569917\pi\)
\(758\) 38.2688 + 8.22377i 1.38999 + 0.298701i
\(759\) −2.08356 32.4421i −0.0756285 1.17757i
\(760\) −42.5607 + 17.7575i −1.54384 + 0.644133i
\(761\) 5.47624 + 7.53739i 0.198513 + 0.273230i 0.896655 0.442729i \(-0.145990\pi\)
−0.698142 + 0.715959i \(0.745990\pi\)
\(762\) 9.04017 + 4.49808i 0.327491 + 0.162948i
\(763\) −24.3926 + 33.5735i −0.883072 + 1.21544i
\(764\) −12.2135 5.50340i −0.441870 0.199106i
\(765\) 7.69089 8.65671i 0.278065 0.312984i
\(766\) −12.5322 28.3180i −0.452807 1.02317i
\(767\) 0.454814 + 1.39977i 0.0164224 + 0.0505428i
\(768\) −10.0893 + 25.8109i −0.364068 + 0.931372i
\(769\) 5.08185 + 15.6403i 0.183256 + 0.564005i 0.999914 0.0131176i \(-0.00417559\pi\)
−0.816658 + 0.577122i \(0.804176\pi\)
\(770\) −9.36324 16.9590i −0.337428 0.611160i
\(771\) 8.26841 + 20.8043i 0.297780 + 0.749249i
\(772\) −10.5022 + 2.18327i −0.377982 + 0.0785774i
\(773\) −12.8718 17.7165i −0.462966 0.637219i 0.512154 0.858893i \(-0.328848\pi\)
−0.975121 + 0.221675i \(0.928848\pi\)
\(774\) 7.92425 + 6.83489i 0.284831