Properties

Label 300.2.w.a.67.8
Level $300$
Weight $2$
Character 300.67
Analytic conductor $2.396$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.w (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 67.8
Character \(\chi\) \(=\) 300.67
Dual form 300.2.w.a.103.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.976661 + 1.02281i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-0.0922667 - 1.99787i) q^{4} +(-0.698282 - 2.12424i) q^{5} +(1.12464 - 0.857431i) q^{6} +(-1.04258 + 1.04258i) q^{7} +(2.13355 + 1.85687i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\) \(q+(-0.976661 + 1.02281i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-0.0922667 - 1.99787i) q^{4} +(-0.698282 - 2.12424i) q^{5} +(1.12464 - 0.857431i) q^{6} +(-1.04258 + 1.04258i) q^{7} +(2.13355 + 1.85687i) q^{8} +(0.951057 + 0.309017i) q^{9} +(2.85467 + 1.36046i) q^{10} +(-4.52673 + 1.47082i) q^{11} +(-0.221405 + 1.98771i) q^{12} +(2.54390 + 4.99269i) q^{13} +(-0.0481108 - 2.08461i) q^{14} +(0.357381 + 2.20732i) q^{15} +(-3.98297 + 0.368674i) q^{16} +(0.262171 + 1.65528i) q^{17} +(-1.24492 + 0.670942i) q^{18} +(2.76811 + 2.01115i) q^{19} +(-4.17953 + 1.59107i) q^{20} +(1.19285 - 0.866653i) q^{21} +(2.91671 - 6.06646i) q^{22} +(-3.62217 + 7.10891i) q^{23} +(-1.81680 - 2.16777i) q^{24} +(-4.02480 + 2.96664i) q^{25} +(-7.59109 - 2.27425i) q^{26} +(-0.891007 - 0.453990i) q^{27} +(2.17915 + 1.98675i) q^{28} +(-4.76887 - 6.56378i) q^{29} +(-2.60671 - 1.79028i) q^{30} +(1.29321 - 1.77995i) q^{31} +(3.51293 - 4.43388i) q^{32} +(4.70108 - 0.744578i) q^{33} +(-1.94908 - 1.34850i) q^{34} +(2.94272 + 1.48668i) q^{35} +(0.529625 - 1.92860i) q^{36} +(1.10983 - 0.565484i) q^{37} +(-4.76052 + 0.867029i) q^{38} +(-1.73155 - 5.32918i) q^{39} +(2.45462 - 5.82879i) q^{40} +(-1.73027 + 5.32522i) q^{41} +(-0.278587 + 2.06648i) q^{42} +(-2.44396 - 2.44396i) q^{43} +(3.35618 + 8.90811i) q^{44} +(-0.00767928 - 2.23605i) q^{45} +(-3.73341 - 10.6478i) q^{46} +(-0.899254 + 5.67766i) q^{47} +(3.99161 + 0.258939i) q^{48} +4.82603i q^{49} +(0.896569 - 7.01400i) q^{50} -1.67591i q^{51} +(9.74003 - 5.54305i) q^{52} +(-0.680800 + 4.29840i) q^{53} +(1.33456 - 0.467933i) q^{54} +(6.28532 + 8.58881i) q^{55} +(-4.16035 + 0.288460i) q^{56} +(-2.41941 - 2.41941i) q^{57} +(11.3710 + 1.53296i) q^{58} +(3.92044 - 12.0659i) q^{59} +(4.37697 - 0.917663i) q^{60} +(2.15405 + 6.62949i) q^{61} +(0.557518 + 3.06112i) q^{62} +(-1.31373 + 0.669381i) q^{63} +(1.10406 + 7.92345i) q^{64} +(8.82932 - 8.89017i) q^{65} +(-3.82980 + 5.53550i) q^{66} +(-7.39906 + 1.17190i) q^{67} +(3.28285 - 0.676511i) q^{68} +(4.68966 - 6.45476i) q^{69} +(-4.39463 + 1.55785i) q^{70} +(7.39857 + 10.1833i) q^{71} +(1.45532 + 2.42529i) q^{72} +(-9.08821 - 4.63068i) q^{73} +(-0.505542 + 1.68742i) q^{74} +(4.43934 - 2.30050i) q^{75} +(3.76261 - 5.71588i) q^{76} +(3.18604 - 6.25296i) q^{77} +(7.14186 + 3.43375i) q^{78} +(7.49468 - 5.44520i) q^{79} +(3.56439 + 8.20336i) q^{80} +(0.809017 + 0.587785i) q^{81} +(-3.75678 - 6.97066i) q^{82} +(-0.974493 - 6.15271i) q^{83} +(-1.84152 - 2.30319i) q^{84} +(3.33315 - 1.71277i) q^{85} +(4.88663 - 0.112778i) q^{86} +(3.68335 + 7.22899i) q^{87} +(-12.3891 - 5.26748i) q^{88} +(1.92856 - 0.626628i) q^{89} +(2.29455 + 2.17601i) q^{90} +(-7.85754 - 2.55307i) q^{91} +(14.5369 + 6.58071i) q^{92} +(-1.55574 + 1.55574i) q^{93} +(-4.92889 - 6.46492i) q^{94} +(2.33924 - 7.28448i) q^{95} +(-4.16329 + 3.82975i) q^{96} +(-3.36367 - 0.532753i) q^{97} +(-4.93610 - 4.71340i) q^{98} -4.75968 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 12q^{8} + O(q^{10}) \) \( 240q + 12q^{8} + 8q^{10} + 8q^{12} + 4q^{13} + 20q^{17} - 20q^{20} - 12q^{22} + 20q^{25} + 4q^{28} - 8q^{30} - 20q^{32} - 8q^{33} - 4q^{37} - 76q^{38} - 92q^{40} - 20q^{42} - 140q^{44} - 4q^{45} - 16q^{48} - 164q^{50} - 172q^{52} - 4q^{53} - 120q^{58} + 20q^{60} - 44q^{62} - 60q^{64} - 20q^{65} + 16q^{68} - 44q^{70} + 12q^{72} - 44q^{73} - 48q^{77} + 24q^{78} - 4q^{80} + 60q^{81} + 24q^{82} + 80q^{84} - 64q^{85} + 60q^{88} - 260q^{89} + 48q^{90} + 144q^{92} - 64q^{93} + 40q^{94} - 20q^{96} - 180q^{97} + 256q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{13}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.976661 + 1.02281i −0.690604 + 0.723233i
\(3\) −0.987688 0.156434i −0.570242 0.0903175i
\(4\) −0.0922667 1.99787i −0.0461334 0.998935i
\(5\) −0.698282 2.12424i −0.312281 0.949990i
\(6\) 1.12464 0.857431i 0.459132 0.350045i
\(7\) −1.04258 + 1.04258i −0.394060 + 0.394060i −0.876132 0.482072i \(-0.839884\pi\)
0.482072 + 0.876132i \(0.339884\pi\)
\(8\) 2.13355 + 1.85687i 0.754323 + 0.656503i
\(9\) 0.951057 + 0.309017i 0.317019 + 0.103006i
\(10\) 2.85467 + 1.36046i 0.902727 + 0.430214i
\(11\) −4.52673 + 1.47082i −1.36486 + 0.443470i −0.897663 0.440683i \(-0.854736\pi\)
−0.467197 + 0.884153i \(0.654736\pi\)
\(12\) −0.221405 + 1.98771i −0.0639141 + 0.573802i
\(13\) 2.54390 + 4.99269i 0.705552 + 1.38472i 0.913604 + 0.406606i \(0.133288\pi\)
−0.208052 + 0.978118i \(0.566712\pi\)
\(14\) −0.0481108 2.08461i −0.0128581 0.557137i
\(15\) 0.357381 + 2.20732i 0.0922753 + 0.569929i
\(16\) −3.98297 + 0.368674i −0.995743 + 0.0921685i
\(17\) 0.262171 + 1.65528i 0.0635858 + 0.401465i 0.998868 + 0.0475627i \(0.0151454\pi\)
−0.935282 + 0.353902i \(0.884855\pi\)
\(18\) −1.24492 + 0.670942i −0.293431 + 0.158143i
\(19\) 2.76811 + 2.01115i 0.635047 + 0.461389i 0.858145 0.513407i \(-0.171617\pi\)
−0.223098 + 0.974796i \(0.571617\pi\)
\(20\) −4.17953 + 1.59107i −0.934572 + 0.355775i
\(21\) 1.19285 0.866653i 0.260300 0.189119i
\(22\) 2.91671 6.06646i 0.621845 1.29337i
\(23\) −3.62217 + 7.10891i −0.755275 + 1.48231i 0.116914 + 0.993142i \(0.462700\pi\)
−0.872189 + 0.489169i \(0.837300\pi\)
\(24\) −1.81680 2.16777i −0.370853 0.442494i
\(25\) −4.02480 + 2.96664i −0.804961 + 0.593328i
\(26\) −7.59109 2.27425i −1.48874 0.446016i
\(27\) −0.891007 0.453990i −0.171474 0.0873705i
\(28\) 2.17915 + 1.98675i 0.411820 + 0.375461i
\(29\) −4.76887 6.56378i −0.885556 1.21886i −0.974851 0.222858i \(-0.928461\pi\)
0.0892946 0.996005i \(-0.471539\pi\)
\(30\) −2.60671 1.79028i −0.475917 0.326858i
\(31\) 1.29321 1.77995i 0.232268 0.319689i −0.676935 0.736043i \(-0.736692\pi\)
0.909203 + 0.416354i \(0.136692\pi\)
\(32\) 3.51293 4.43388i 0.621005 0.783807i
\(33\) 4.70108 0.744578i 0.818354 0.129614i
\(34\) −1.94908 1.34850i −0.334265 0.231266i
\(35\) 2.94272 + 1.48668i 0.497411 + 0.251295i
\(36\) 0.529625 1.92860i 0.0882708 0.321433i
\(37\) 1.10983 0.565484i 0.182454 0.0929650i −0.360378 0.932807i \(-0.617352\pi\)
0.542832 + 0.839842i \(0.317352\pi\)
\(38\) −4.76052 + 0.867029i −0.772258 + 0.140651i
\(39\) −1.73155 5.32918i −0.277271 0.853351i
\(40\) 2.45462 5.82879i 0.388110 0.921613i
\(41\) −1.73027 + 5.32522i −0.270222 + 0.831659i 0.720222 + 0.693744i \(0.244040\pi\)
−0.990444 + 0.137915i \(0.955960\pi\)
\(42\) −0.278587 + 2.06648i −0.0429869 + 0.318864i
\(43\) −2.44396 2.44396i −0.372701 0.372701i 0.495759 0.868460i \(-0.334890\pi\)
−0.868460 + 0.495759i \(0.834890\pi\)
\(44\) 3.35618 + 8.90811i 0.505963 + 1.34295i
\(45\) −0.00767928 2.23605i −0.00114476 0.333331i
\(46\) −3.73341 10.6478i −0.550461 1.56993i
\(47\) −0.899254 + 5.67766i −0.131170 + 0.828172i 0.831110 + 0.556109i \(0.187706\pi\)
−0.962279 + 0.272064i \(0.912294\pi\)
\(48\) 3.99161 + 0.258939i 0.576139 + 0.0373747i
\(49\) 4.82603i 0.689433i
\(50\) 0.896569 7.01400i 0.126794 0.991929i
\(51\) 1.67591i 0.234675i
\(52\) 9.74003 5.54305i 1.35070 0.768683i
\(53\) −0.680800 + 4.29840i −0.0935150 + 0.590431i 0.895780 + 0.444498i \(0.146618\pi\)
−0.989295 + 0.145932i \(0.953382\pi\)
\(54\) 1.33456 0.467933i 0.181610 0.0636776i
\(55\) 6.28532 + 8.58881i 0.847512 + 1.15812i
\(56\) −4.16035 + 0.288460i −0.555950 + 0.0385470i
\(57\) −2.41941 2.41941i −0.320459 0.320459i
\(58\) 11.3710 + 1.53296i 1.49309 + 0.201288i
\(59\) 3.92044 12.0659i 0.510398 1.57084i −0.281104 0.959677i \(-0.590701\pi\)
0.791502 0.611166i \(-0.209299\pi\)
\(60\) 4.37697 0.917663i 0.565065 0.118470i
\(61\) 2.15405 + 6.62949i 0.275798 + 0.848819i 0.989007 + 0.147867i \(0.0472409\pi\)
−0.713209 + 0.700951i \(0.752759\pi\)
\(62\) 0.557518 + 3.06112i 0.0708049 + 0.388762i
\(63\) −1.31373 + 0.669381i −0.165515 + 0.0843340i
\(64\) 1.10406 + 7.92345i 0.138007 + 0.990431i
\(65\) 8.82932 8.89017i 1.09514 1.10269i
\(66\) −3.82980 + 5.53550i −0.471416 + 0.681373i
\(67\) −7.39906 + 1.17190i −0.903939 + 0.143170i −0.591064 0.806625i \(-0.701292\pi\)
−0.312875 + 0.949794i \(0.601292\pi\)
\(68\) 3.28285 0.676511i 0.398104 0.0820390i
\(69\) 4.68966 6.45476i 0.564568 0.777061i
\(70\) −4.39463 + 1.55785i −0.525259 + 0.186199i
\(71\) 7.39857 + 10.1833i 0.878049 + 1.20853i 0.976958 + 0.213434i \(0.0684647\pi\)
−0.0989090 + 0.995096i \(0.531535\pi\)
\(72\) 1.45532 + 2.42529i 0.171511 + 0.285823i
\(73\) −9.08821 4.63068i −1.06369 0.541980i −0.167606 0.985854i \(-0.553604\pi\)
−0.896089 + 0.443874i \(0.853604\pi\)
\(74\) −0.505542 + 1.68742i −0.0587681 + 0.196159i
\(75\) 4.43934 2.30050i 0.512610 0.265639i
\(76\) 3.76261 5.71588i 0.431601 0.655657i
\(77\) 3.18604 6.25296i 0.363083 0.712590i
\(78\) 7.14186 + 3.43375i 0.808656 + 0.388796i
\(79\) 7.49468 5.44520i 0.843218 0.612633i −0.0800501 0.996791i \(-0.525508\pi\)
0.923268 + 0.384157i \(0.125508\pi\)
\(80\) 3.56439 + 8.20336i 0.398511 + 0.917163i
\(81\) 0.809017 + 0.587785i 0.0898908 + 0.0653095i
\(82\) −3.75678 6.97066i −0.414867 0.769780i
\(83\) −0.974493 6.15271i −0.106965 0.675348i −0.981655 0.190666i \(-0.938935\pi\)
0.874690 0.484682i \(-0.161065\pi\)
\(84\) −1.84152 2.30319i −0.200926 0.251298i
\(85\) 3.33315 1.71277i 0.361531 0.185776i
\(86\) 4.88663 0.112778i 0.526938 0.0121612i
\(87\) 3.68335 + 7.22899i 0.394897 + 0.775029i
\(88\) −12.3891 5.26748i −1.32068 0.561515i
\(89\) 1.92856 0.626628i 0.204427 0.0664225i −0.205013 0.978759i \(-0.565724\pi\)
0.409441 + 0.912337i \(0.365724\pi\)
\(90\) 2.29455 + 2.17601i 0.241867 + 0.229372i
\(91\) −7.85754 2.55307i −0.823694 0.267634i
\(92\) 14.5369 + 6.58071i 1.51558 + 0.686087i
\(93\) −1.55574 + 1.55574i −0.161322 + 0.161322i
\(94\) −4.92889 6.46492i −0.508376 0.666805i
\(95\) 2.33924 7.28448i 0.240001 0.747371i
\(96\) −4.16329 + 3.82975i −0.424914 + 0.390872i
\(97\) −3.36367 0.532753i −0.341529 0.0540929i −0.0166860 0.999861i \(-0.505312\pi\)
−0.324843 + 0.945768i \(0.605312\pi\)
\(98\) −4.93610 4.71340i −0.498621 0.476125i
\(99\) −4.75968 −0.478366
\(100\) 6.29832 + 7.76731i 0.629832 + 0.776731i
\(101\) −13.7603 −1.36920 −0.684602 0.728917i \(-0.740024\pi\)
−0.684602 + 0.728917i \(0.740024\pi\)
\(102\) 1.71414 + 1.63680i 0.169725 + 0.162067i
\(103\) −6.04390 0.957260i −0.595524 0.0943217i −0.148606 0.988897i \(-0.547478\pi\)
−0.446918 + 0.894575i \(0.647478\pi\)
\(104\) −3.84324 + 15.3759i −0.376861 + 1.50773i
\(105\) −2.67392 1.92872i −0.260948 0.188224i
\(106\) −3.73152 4.89440i −0.362437 0.475387i
\(107\) 8.72357 8.72357i 0.843339 0.843339i −0.145953 0.989292i \(-0.546625\pi\)
0.989292 + 0.145953i \(0.0466247\pi\)
\(108\) −0.824804 + 1.82200i −0.0793668 + 0.175322i
\(109\) −13.2840 4.31622i −1.27237 0.413419i −0.406486 0.913657i \(-0.633246\pi\)
−0.865888 + 0.500238i \(0.833246\pi\)
\(110\) −14.9233 1.95969i −1.42288 0.186849i
\(111\) −1.18462 + 0.384907i −0.112439 + 0.0365338i
\(112\) 3.76821 4.53696i 0.356063 0.428703i
\(113\) 1.97483 + 3.87583i 0.185777 + 0.364607i 0.965045 0.262083i \(-0.0844093\pi\)
−0.779269 + 0.626690i \(0.784409\pi\)
\(114\) 4.83754 0.111645i 0.453077 0.0104566i
\(115\) 17.6303 + 2.73034i 1.64404 + 0.254605i
\(116\) −12.6736 + 10.1332i −1.17671 + 0.940844i
\(117\) 0.876569 + 5.53444i 0.0810389 + 0.511659i
\(118\) 8.51212 + 15.7941i 0.783604 + 1.45397i
\(119\) −1.99911 1.45244i −0.183258 0.133145i
\(120\) −3.33623 + 5.37304i −0.304554 + 0.490489i
\(121\) 9.42875 6.85039i 0.857159 0.622763i
\(122\) −8.88446 4.27158i −0.804361 0.386731i
\(123\) 2.54201 4.98898i 0.229206 0.449841i
\(124\) −3.67544 2.41944i −0.330064 0.217272i
\(125\) 9.11231 + 6.47810i 0.815030 + 0.579419i
\(126\) 0.598425 1.99745i 0.0533120 0.177947i
\(127\) 3.05770 + 1.55798i 0.271327 + 0.138248i 0.584361 0.811494i \(-0.301345\pi\)
−0.313034 + 0.949742i \(0.601345\pi\)
\(128\) −9.18245 6.60929i −0.811621 0.584184i
\(129\) 2.03155 + 2.79619i 0.178868 + 0.246191i
\(130\) 0.469677 + 17.7134i 0.0411934 + 1.55357i
\(131\) −4.34615 + 5.98196i −0.379725 + 0.522646i −0.955512 0.294954i \(-0.904696\pi\)
0.575787 + 0.817600i \(0.304696\pi\)
\(132\) −1.92132 9.32346i −0.167230 0.811503i
\(133\) −4.98278 + 0.789194i −0.432062 + 0.0684318i
\(134\) 6.02775 8.71235i 0.520718 0.752632i
\(135\) −0.342211 + 2.20973i −0.0294529 + 0.190183i
\(136\) −2.51429 + 4.01844i −0.215599 + 0.344578i
\(137\) 10.0977 5.14506i 0.862708 0.439572i 0.0341118 0.999418i \(-0.489140\pi\)
0.828597 + 0.559846i \(0.189140\pi\)
\(138\) 2.02176 + 11.1007i 0.172104 + 0.944956i
\(139\) −4.52482 13.9260i −0.383791 1.18119i −0.937354 0.348379i \(-0.886732\pi\)
0.553563 0.832807i \(-0.313268\pi\)
\(140\) 2.69869 6.01635i 0.228081 0.508474i
\(141\) 1.77636 5.46709i 0.149597 0.460412i
\(142\) −17.6414 2.37828i −1.48043 0.199581i
\(143\) −18.8589 18.8589i −1.57706 1.57706i
\(144\) −3.90196 0.880177i −0.325163 0.0733481i
\(145\) −10.6130 + 14.7136i −0.881365 + 1.22190i
\(146\) 13.6124 4.77288i 1.12657 0.395007i
\(147\) 0.754958 4.76662i 0.0622679 0.393144i
\(148\) −1.23216 2.16511i −0.101283 0.177971i
\(149\) 7.25270i 0.594165i 0.954852 + 0.297082i \(0.0960136\pi\)
−0.954852 + 0.297082i \(0.903986\pi\)
\(150\) −1.98276 + 6.78739i −0.161892 + 0.554188i
\(151\) 8.89011i 0.723467i 0.932282 + 0.361733i \(0.117815\pi\)
−0.932282 + 0.361733i \(0.882185\pi\)
\(152\) 2.17145 + 9.43090i 0.176128 + 0.764947i
\(153\) −0.262171 + 1.65528i −0.0211953 + 0.133822i
\(154\) 3.28388 + 9.36572i 0.264623 + 0.754711i
\(155\) −4.68408 1.50418i −0.376234 0.120819i
\(156\) −10.4872 + 3.95113i −0.839651 + 0.316343i
\(157\) −3.13469 3.13469i −0.250175 0.250175i 0.570867 0.821043i \(-0.306607\pi\)
−0.821043 + 0.570867i \(0.806607\pi\)
\(158\) −1.75037 + 12.9837i −0.139252 + 1.03293i
\(159\) 1.34484 4.13898i 0.106652 0.328242i
\(160\) −11.8717 4.36622i −0.938537 0.345180i
\(161\) −3.63522 11.1881i −0.286496 0.881743i
\(162\) −1.39133 + 0.253401i −0.109313 + 0.0199091i
\(163\) −3.54660 + 1.80708i −0.277791 + 0.141542i −0.587336 0.809343i \(-0.699823\pi\)
0.309545 + 0.950885i \(0.399823\pi\)
\(164\) 10.7987 + 2.96551i 0.843240 + 0.231567i
\(165\) −4.86435 9.46631i −0.378689 0.736951i
\(166\) 7.24478 + 5.01239i 0.562304 + 0.389037i
\(167\) −20.0096 + 3.16922i −1.54839 + 0.245241i −0.871335 0.490689i \(-0.836745\pi\)
−0.677058 + 0.735930i \(0.736745\pi\)
\(168\) 4.15426 + 0.365914i 0.320508 + 0.0282309i
\(169\) −10.8143 + 14.8846i −0.831871 + 1.14497i
\(170\) −1.50353 + 5.08196i −0.115315 + 0.389769i
\(171\) 2.01115 + 2.76811i 0.153796 + 0.211682i
\(172\) −4.65723 + 5.10822i −0.355110 + 0.389498i
\(173\) 6.81344 + 3.47162i 0.518016 + 0.263943i 0.693394 0.720559i \(-0.256115\pi\)
−0.175377 + 0.984501i \(0.556115\pi\)
\(174\) −10.9912 3.29291i −0.833244 0.249635i
\(175\) 1.10322 7.28917i 0.0833959 0.551010i
\(176\) 17.4876 7.52714i 1.31818 0.567379i
\(177\) −5.75969 + 11.3040i −0.432925 + 0.849663i
\(178\) −1.24263 + 2.58455i −0.0931393 + 0.193720i
\(179\) 13.4766 9.79134i 1.00729 0.731839i 0.0436509 0.999047i \(-0.486101\pi\)
0.963639 + 0.267208i \(0.0861011\pi\)
\(180\) −4.46664 + 0.221656i −0.332924 + 0.0165212i
\(181\) 14.3280 + 10.4099i 1.06499 + 0.773762i 0.975005 0.222181i \(-0.0713176\pi\)
0.0899867 + 0.995943i \(0.471318\pi\)
\(182\) 10.2854 5.54326i 0.762408 0.410894i
\(183\) −1.09045 6.88483i −0.0806084 0.508942i
\(184\) −20.9284 + 8.44130i −1.54286 + 0.622301i
\(185\) −1.97620 1.96267i −0.145293 0.144298i
\(186\) −0.0717904 3.11064i −0.00526393 0.228083i
\(187\) −3.62140 7.10740i −0.264823 0.519745i
\(188\) 11.4262 + 1.27273i 0.833342 + 0.0928236i
\(189\) 1.40227 0.455626i 0.102000 0.0331419i
\(190\) 5.16596 + 9.50706i 0.374778 + 0.689714i
\(191\) 9.15141 + 2.97347i 0.662173 + 0.215153i 0.620774 0.783990i \(-0.286819\pi\)
0.0413989 + 0.999143i \(0.486819\pi\)
\(192\) 0.149034 7.99861i 0.0107556 0.577250i
\(193\) −8.11384 + 8.11384i −0.584047 + 0.584047i −0.936013 0.351966i \(-0.885513\pi\)
0.351966 + 0.936013i \(0.385513\pi\)
\(194\) 3.83007 2.92007i 0.274983 0.209649i
\(195\) −10.1113 + 7.39951i −0.724089 + 0.529890i
\(196\) 9.64179 0.445282i 0.688699 0.0318059i
\(197\) 2.15209 + 0.340857i 0.153330 + 0.0242851i 0.232628 0.972566i \(-0.425268\pi\)
−0.0792975 + 0.996851i \(0.525268\pi\)
\(198\) 4.64860 4.86824i 0.330361 0.345970i
\(199\) −9.69051 −0.686942 −0.343471 0.939163i \(-0.611603\pi\)
−0.343471 + 0.939163i \(0.611603\pi\)
\(200\) −14.0958 1.14407i −0.996722 0.0808979i
\(201\) 7.49129 0.528395
\(202\) 13.4392 14.0742i 0.945577 0.990254i
\(203\) 11.8152 + 1.87135i 0.829268 + 0.131343i
\(204\) −3.34826 + 0.154631i −0.234425 + 0.0108263i
\(205\) 12.5203 0.0429983i 0.874453 0.00300313i
\(206\) 6.88194 5.24683i 0.479487 0.365564i
\(207\) −5.64166 + 5.64166i −0.392123 + 0.392123i
\(208\) −11.9730 18.9479i −0.830177 1.31380i
\(209\) −15.4885 5.03252i −1.07136 0.348107i
\(210\) 4.58423 0.851197i 0.316342 0.0587382i
\(211\) 23.4844 7.63053i 1.61673 0.525308i 0.645563 0.763707i \(-0.276623\pi\)
0.971167 + 0.238399i \(0.0766227\pi\)
\(212\) 8.65046 + 0.963550i 0.594116 + 0.0661769i
\(213\) −5.71447 11.2153i −0.391549 0.768458i
\(214\) 0.402555 + 17.4425i 0.0275181 + 1.19234i
\(215\) −3.48499 + 6.89815i −0.237674 + 0.470450i
\(216\) −1.05800 2.62310i −0.0719880 0.178479i
\(217\) 0.507469 + 3.20403i 0.0344493 + 0.217504i
\(218\) 17.3886 9.37144i 1.17770 0.634714i
\(219\) 8.25193 + 5.99537i 0.557613 + 0.405130i
\(220\) 16.5794 13.3497i 1.11778 0.900037i
\(221\) −7.59737 + 5.51981i −0.511055 + 0.371303i
\(222\) 0.763289 1.58756i 0.0512286 0.106550i
\(223\) −8.96950 + 17.6036i −0.600642 + 1.17883i 0.367874 + 0.929876i \(0.380086\pi\)
−0.968516 + 0.248951i \(0.919914\pi\)
\(224\) 0.960167 + 8.28523i 0.0641539 + 0.553580i
\(225\) −4.74456 + 1.57771i −0.316304 + 0.105181i
\(226\) −5.89296 1.76550i −0.391994 0.117439i
\(227\) −0.147478 0.0751436i −0.00978843 0.00498746i 0.449089 0.893487i \(-0.351748\pi\)
−0.458878 + 0.888499i \(0.651748\pi\)
\(228\) −4.61044 + 5.05691i −0.305334 + 0.334902i
\(229\) 4.40665 + 6.06523i 0.291200 + 0.400802i 0.929403 0.369066i \(-0.120322\pi\)
−0.638204 + 0.769867i \(0.720322\pi\)
\(230\) −20.0115 + 15.3658i −1.31952 + 1.01319i
\(231\) −4.12499 + 5.67756i −0.271405 + 0.373556i
\(232\) 2.01349 22.8593i 0.132192 1.50079i
\(233\) 10.5449 1.67016i 0.690822 0.109415i 0.198855 0.980029i \(-0.436278\pi\)
0.491968 + 0.870614i \(0.336278\pi\)
\(234\) −6.51677 4.50871i −0.426015 0.294744i
\(235\) 12.6887 2.05438i 0.827717 0.134013i
\(236\) −24.4678 6.71925i −1.59272 0.437386i
\(237\) −8.25423 + 4.20574i −0.536170 + 0.273192i
\(238\) 3.43801 0.626162i 0.222853 0.0405881i
\(239\) 6.87021 + 21.1443i 0.444397 + 1.36771i 0.883143 + 0.469103i \(0.155423\pi\)
−0.438746 + 0.898611i \(0.644577\pi\)
\(240\) −2.23722 8.65996i −0.144412 0.558998i
\(241\) 6.30289 19.3983i 0.406005 1.24956i −0.514048 0.857761i \(-0.671855\pi\)
0.920053 0.391794i \(-0.128145\pi\)
\(242\) −2.20207 + 16.3343i −0.141554 + 1.05001i
\(243\) −0.707107 0.707107i −0.0453609 0.0453609i
\(244\) 13.0461 4.91519i 0.835191 0.314663i
\(245\) 10.2517 3.36993i 0.654955 0.215297i
\(246\) 2.62008 + 7.47253i 0.167050 + 0.476431i
\(247\) −2.99924 + 18.9365i −0.190837 + 1.20490i
\(248\) 6.06427 1.39629i 0.385082 0.0886644i
\(249\) 6.22940i 0.394772i
\(250\) −15.5255 + 2.99322i −0.981918 + 0.189308i
\(251\) 18.0233i 1.13762i 0.822468 + 0.568811i \(0.192597\pi\)
−0.822468 + 0.568811i \(0.807403\pi\)
\(252\) 1.45855 + 2.56291i 0.0918800 + 0.161448i
\(253\) 5.94063 37.5077i 0.373484 2.35809i
\(254\) −4.57984 + 1.60582i −0.287365 + 0.100758i
\(255\) −3.56005 + 1.17026i −0.222939 + 0.0732846i
\(256\) 15.7282 2.93684i 0.983010 0.183552i
\(257\) −1.16576 1.16576i −0.0727178 0.0727178i 0.669812 0.742530i \(-0.266374\pi\)
−0.742530 + 0.669812i \(0.766374\pi\)
\(258\) −4.84411 0.653047i −0.301581 0.0406569i
\(259\) −0.567522 + 1.74665i −0.0352641 + 0.108532i
\(260\) −18.5761 16.8196i −1.15204 1.04311i
\(261\) −2.50714 7.71619i −0.155188 0.477620i
\(262\) −1.87367 10.2876i −0.115756 0.635571i
\(263\) 22.7301 11.5815i 1.40160 0.714149i 0.420431 0.907324i \(-0.361879\pi\)
0.981164 + 0.193176i \(0.0618787\pi\)
\(264\) 11.4126 + 7.14071i 0.702395 + 0.439480i
\(265\) 9.60623 1.55531i 0.590106 0.0955422i
\(266\) 4.05929 5.86719i 0.248891 0.359741i
\(267\) −2.00285 + 0.317220i −0.122572 + 0.0194135i
\(268\) 3.02398 + 14.6742i 0.184719 + 0.896371i
\(269\) 14.4616 19.9047i 0.881740 1.21361i −0.0941958 0.995554i \(-0.530028\pi\)
0.975936 0.218057i \(-0.0699720\pi\)
\(270\) −1.92590 2.50817i −0.117206 0.152642i
\(271\) −0.554963 0.763841i −0.0337116 0.0464000i 0.791828 0.610744i \(-0.209129\pi\)
−0.825540 + 0.564344i \(0.809129\pi\)
\(272\) −1.65448 6.49629i −0.100318 0.393895i
\(273\) 7.36141 + 3.75083i 0.445533 + 0.227010i
\(274\) −4.59967 + 15.3530i −0.277876 + 0.927509i
\(275\) 13.8558 19.3489i 0.835535 1.16679i
\(276\) −13.3285 8.77377i −0.802280 0.528119i
\(277\) −5.23893 + 10.2820i −0.314777 + 0.617784i −0.993139 0.116944i \(-0.962690\pi\)
0.678362 + 0.734728i \(0.262690\pi\)
\(278\) 18.6628 + 8.97294i 1.11932 + 0.538161i
\(279\) 1.77995 1.29321i 0.106563 0.0774225i
\(280\) 3.51786 + 8.63616i 0.210232 + 0.516110i
\(281\) 4.14505 + 3.01155i 0.247273 + 0.179654i 0.704517 0.709687i \(-0.251164\pi\)
−0.457244 + 0.889341i \(0.651164\pi\)
\(282\) 3.85687 + 7.15637i 0.229673 + 0.426156i
\(283\) −1.43610 9.06715i −0.0853670 0.538986i −0.992895 0.118994i \(-0.962033\pi\)
0.907528 0.419992i \(-0.137967\pi\)
\(284\) 19.6622 15.7210i 1.16674 0.932867i
\(285\) −3.44999 + 6.82885i −0.204359 + 0.404506i
\(286\) 37.7078 0.870257i 2.22971 0.0514594i
\(287\) −3.74804 7.35594i −0.221240 0.434207i
\(288\) 4.71114 3.13132i 0.277607 0.184515i
\(289\) 13.4967 4.38536i 0.793926 0.257962i
\(290\) −4.68382 25.2253i −0.275043 1.48128i
\(291\) 3.23892 + 1.05239i 0.189869 + 0.0616921i
\(292\) −8.41295 + 18.5843i −0.492331 + 1.08757i
\(293\) −20.8580 + 20.8580i −1.21854 + 1.21854i −0.250392 + 0.968145i \(0.580559\pi\)
−0.968145 + 0.250392i \(0.919441\pi\)
\(294\) 4.13799 + 5.42754i 0.241332 + 0.316541i
\(295\) −28.3684 + 0.0974256i −1.65167 + 0.00567234i
\(296\) 3.41790 + 0.854314i 0.198661 + 0.0496560i
\(297\) 4.70108 + 0.744578i 0.272785 + 0.0432048i
\(298\) −7.41811 7.08343i −0.429720 0.410332i
\(299\) −44.7071 −2.58548
\(300\) −5.00570 8.65696i −0.289004 0.499810i
\(301\) 5.09608 0.293733
\(302\) −9.09286 8.68262i −0.523235 0.499629i
\(303\) 13.5909 + 2.15259i 0.780777 + 0.123663i
\(304\) −11.7668 6.98982i −0.674870 0.400894i
\(305\) 12.5785 9.20498i 0.720242 0.527075i
\(306\) −1.43698 1.88480i −0.0821467 0.107747i
\(307\) −1.07224 + 1.07224i −0.0611962 + 0.0611962i −0.737043 0.675846i \(-0.763778\pi\)
0.675846 + 0.737043i \(0.263778\pi\)
\(308\) −12.7866 5.78836i −0.728582 0.329822i
\(309\) 5.81975 + 1.89095i 0.331074 + 0.107572i
\(310\) 6.11324 3.32183i 0.347209 0.188667i
\(311\) 0.0825240 0.0268137i 0.00467951 0.00152046i −0.306676 0.951814i \(-0.599217\pi\)
0.311356 + 0.950293i \(0.399217\pi\)
\(312\) 6.20124 14.5853i 0.351076 0.825732i
\(313\) −10.0594 19.7428i −0.568593 1.11593i −0.978969 0.204011i \(-0.934602\pi\)
0.410375 0.911917i \(-0.365398\pi\)
\(314\) 6.26771 0.144652i 0.353707 0.00816320i
\(315\) 2.33928 + 2.32327i 0.131804 + 0.130901i
\(316\) −11.5703 14.4710i −0.650882 0.814057i
\(317\) 4.98965 + 31.5034i 0.280247 + 1.76941i 0.579244 + 0.815154i \(0.303348\pi\)
−0.298998 + 0.954254i \(0.596652\pi\)
\(318\) 2.91993 + 5.41789i 0.163741 + 0.303820i
\(319\) 31.2415 + 22.6983i 1.74919 + 1.27086i
\(320\) 16.0604 7.87809i 0.897802 0.440399i
\(321\) −9.98083 + 7.25150i −0.557076 + 0.404739i
\(322\) 14.9936 + 7.20882i 0.835561 + 0.401732i
\(323\) −2.60330 + 5.10926i −0.144851 + 0.284287i
\(324\) 1.09967 1.67054i 0.0610930 0.0928080i
\(325\) −25.0502 12.5478i −1.38954 0.696024i
\(326\) 1.61553 5.39239i 0.0894759 0.298657i
\(327\) 12.4452 + 6.34115i 0.688222 + 0.350667i
\(328\) −13.5798 + 8.14872i −0.749822 + 0.449938i
\(329\) −4.98190 6.85700i −0.274661 0.378038i
\(330\) 14.4330 + 4.27009i 0.794512 + 0.235061i
\(331\) −11.2987 + 15.5513i −0.621031 + 0.854776i −0.997428 0.0716824i \(-0.977163\pi\)
0.376396 + 0.926459i \(0.377163\pi\)
\(332\) −12.2024 + 2.51460i −0.669694 + 0.138007i
\(333\) 1.23025 0.194853i 0.0674173 0.0106779i
\(334\) 16.3011 23.5612i 0.891959 1.28921i
\(335\) 7.65602 + 14.8991i 0.418293 + 0.814023i
\(336\) −4.43156 + 3.89163i −0.241761 + 0.212306i
\(337\) 12.8547 6.54977i 0.700238 0.356789i −0.0673530 0.997729i \(-0.521455\pi\)
0.767591 + 0.640940i \(0.221455\pi\)
\(338\) −4.66218 25.5982i −0.253589 1.39236i
\(339\) −1.34421 4.13704i −0.0730072 0.224693i
\(340\) −3.72943 6.50117i −0.202257 0.352575i
\(341\) −3.23602 + 9.95944i −0.175240 + 0.539334i
\(342\) −4.79545 0.646487i −0.259308 0.0349580i
\(343\) −12.3296 12.3296i −0.665738 0.665738i
\(344\) −0.676189 9.75244i −0.0364577 0.525816i
\(345\) −16.9862 5.45472i −0.914504 0.293672i
\(346\) −10.2052 + 3.57824i −0.548636 + 0.192367i
\(347\) −0.544569 + 3.43827i −0.0292340 + 0.184576i −0.997984 0.0634620i \(-0.979786\pi\)
0.968750 + 0.248038i \(0.0797858\pi\)
\(348\) 14.1027 8.02586i 0.755985 0.430231i
\(349\) 1.06294i 0.0568981i 0.999595 + 0.0284490i \(0.00905683\pi\)
−0.999595 + 0.0284490i \(0.990943\pi\)
\(350\) 6.37794 + 8.24744i 0.340915 + 0.440844i
\(351\) 5.60343i 0.299089i
\(352\) −9.38063 + 25.2379i −0.499990 + 1.34518i
\(353\) −3.21923 + 20.3254i −0.171342 + 1.08181i 0.740736 + 0.671797i \(0.234477\pi\)
−0.912078 + 0.410017i \(0.865523\pi\)
\(354\) −5.93657 16.9313i −0.315525 0.899886i
\(355\) 16.4654 22.8271i 0.873893 1.21154i
\(356\) −1.42986 3.79520i −0.0757827 0.201145i
\(357\) 1.74728 + 1.74728i 0.0924760 + 0.0924760i
\(358\) −3.14744 + 23.3468i −0.166348 + 1.23392i
\(359\) −5.08507 + 15.6502i −0.268380 + 0.825988i 0.722516 + 0.691354i \(0.242986\pi\)
−0.990895 + 0.134633i \(0.957014\pi\)
\(360\) 4.13568 4.78499i 0.217970 0.252191i
\(361\) −2.25362 6.93593i −0.118612 0.365049i
\(362\) −24.6409 + 4.48783i −1.29510 + 0.235875i
\(363\) −10.3843 + 5.29107i −0.545035 + 0.277709i
\(364\) −4.37571 + 15.9339i −0.229350 + 0.835164i
\(365\) −3.49054 + 22.5391i −0.182703 + 1.17975i
\(366\) 8.10685 + 5.60883i 0.423752 + 0.293178i
\(367\) −18.7851 + 2.97526i −0.980573 + 0.155307i −0.626086 0.779754i \(-0.715344\pi\)
−0.354486 + 0.935061i \(0.615344\pi\)
\(368\) 11.8061 29.6500i 0.615438 1.54561i
\(369\) −3.29116 + 4.52990i −0.171331 + 0.235817i
\(370\) 3.93750 0.104404i 0.204701 0.00542773i
\(371\) −3.77165 5.19124i −0.195815 0.269516i
\(372\) 3.25170 + 2.96462i 0.168593 + 0.153708i
\(373\) 0.521594 + 0.265765i 0.0270071 + 0.0137608i 0.467442 0.884024i \(-0.345176\pi\)
−0.440435 + 0.897785i \(0.645176\pi\)
\(374\) 10.8064 + 3.23753i 0.558785 + 0.167409i
\(375\) −7.98672 7.82382i −0.412433 0.404021i
\(376\) −12.4613 + 10.4438i −0.642642 + 0.538597i
\(377\) 20.6394 40.5071i 1.06298 2.08622i
\(378\) −0.903528 + 1.87925i −0.0464725 + 0.0966580i
\(379\) −4.02282 + 2.92275i −0.206639 + 0.150132i −0.686292 0.727327i \(-0.740763\pi\)
0.479653 + 0.877458i \(0.340763\pi\)
\(380\) −14.7693 4.00139i −0.757648 0.205267i
\(381\) −2.77633 2.01712i −0.142236 0.103340i
\(382\) −11.9791 + 6.45605i −0.612905 + 0.330320i
\(383\) 2.89726 + 18.2926i 0.148043 + 0.934708i 0.944141 + 0.329540i \(0.106894\pi\)
−0.796098 + 0.605167i \(0.793106\pi\)
\(384\) 8.03548 + 7.96437i 0.410059 + 0.406430i
\(385\) −15.5075 2.40159i −0.790338 0.122396i
\(386\) −0.374419 16.2234i −0.0190574 0.825748i
\(387\) −1.56912 3.07957i −0.0797629 0.156544i
\(388\) −0.754017 + 6.76934i −0.0382794 + 0.343661i
\(389\) −14.1818 + 4.60795i −0.719046 + 0.233632i −0.645609 0.763668i \(-0.723397\pi\)
−0.0734363 + 0.997300i \(0.523397\pi\)
\(390\) 2.30709 17.5688i 0.116824 0.889629i
\(391\) −12.7169 4.13196i −0.643120 0.208962i
\(392\) −8.96132 + 10.2966i −0.452615 + 0.520056i
\(393\) 5.22842 5.22842i 0.263739 0.263739i
\(394\) −2.45049 + 1.86827i −0.123454 + 0.0941220i
\(395\) −16.8003 12.1182i −0.845317 0.609734i
\(396\) 0.439160 + 9.50923i 0.0220686 + 0.477857i
\(397\) 17.2952 + 2.73929i 0.868021 + 0.137481i 0.574533 0.818482i \(-0.305184\pi\)
0.293488 + 0.955963i \(0.405184\pi\)
\(398\) 9.46434 9.91152i 0.474405 0.496819i
\(399\) 5.04489 0.252560
\(400\) 14.9370 13.2999i 0.746848 0.664995i
\(401\) −23.4783 −1.17245 −0.586226 0.810147i \(-0.699387\pi\)
−0.586226 + 0.810147i \(0.699387\pi\)
\(402\) −7.31645 + 7.66214i −0.364911 + 0.382153i
\(403\) 12.1766 + 1.92858i 0.606558 + 0.0960693i
\(404\) 1.26962 + 27.4913i 0.0631660 + 1.36775i
\(405\) 0.683675 2.12899i 0.0339721 0.105790i
\(406\) −13.4535 + 10.2570i −0.667687 + 0.509048i
\(407\) −4.19215 + 4.19215i −0.207797 + 0.207797i
\(408\) 3.11196 3.57565i 0.154065 0.177021i
\(409\) 36.3503 + 11.8109i 1.79741 + 0.584014i 0.999816 0.0191827i \(-0.00610643\pi\)
0.797593 + 0.603196i \(0.206106\pi\)
\(410\) −12.1841 + 12.8478i −0.601728 + 0.634507i
\(411\) −10.7783 + 3.50208i −0.531654 + 0.172745i
\(412\) −1.35483 + 12.1633i −0.0667477 + 0.599241i
\(413\) 8.49231 + 16.6671i 0.417879 + 0.820134i
\(414\) −0.260338 11.2803i −0.0127949 0.554398i
\(415\) −12.3894 + 6.36639i −0.608170 + 0.312514i
\(416\) 31.0736 + 6.25962i 1.52351 + 0.306903i
\(417\) 2.29061 + 14.4624i 0.112172 + 0.708225i
\(418\) 20.2743 10.9267i 0.991649 0.534441i
\(419\) 8.44580 + 6.13623i 0.412604 + 0.299775i 0.774655 0.632384i \(-0.217923\pi\)
−0.362051 + 0.932158i \(0.617923\pi\)
\(420\) −3.60662 + 5.52011i −0.175985 + 0.269354i
\(421\) 3.57920 2.60044i 0.174439 0.126738i −0.497140 0.867671i \(-0.665616\pi\)
0.671579 + 0.740933i \(0.265616\pi\)
\(422\) −15.1317 + 31.4724i −0.736600 + 1.53205i
\(423\) −2.60974 + 5.12189i −0.126890 + 0.249035i
\(424\) −9.43409 + 7.90669i −0.458160 + 0.383983i
\(425\) −5.96581 5.88442i −0.289384 0.285436i
\(426\) 17.0522 + 5.10873i 0.826180 + 0.247519i
\(427\) −9.15758 4.66602i −0.443166 0.225805i
\(428\) −18.2335 16.6237i −0.881347 0.803535i
\(429\) 15.6766 + 21.5769i 0.756871 + 1.04174i
\(430\) −3.65181 10.3016i −0.176106 0.496788i
\(431\) 14.7423 20.2911i 0.710114 0.977388i −0.289681 0.957123i \(-0.593549\pi\)
0.999795 0.0202643i \(-0.00645078\pi\)
\(432\) 3.71623 + 1.47974i 0.178797 + 0.0711941i
\(433\) 11.9800 1.89745i 0.575723 0.0911856i 0.138219 0.990402i \(-0.455862\pi\)
0.437505 + 0.899216i \(0.355862\pi\)
\(434\) −3.77273 2.61021i −0.181097 0.125294i
\(435\) 12.7841 12.8722i 0.612950 0.617175i
\(436\) −7.39759 + 26.9379i −0.354280 + 1.29009i
\(437\) −24.3236 + 12.3935i −1.16356 + 0.592862i
\(438\) −14.1914 + 2.58468i −0.678093 + 0.123501i
\(439\) 6.68775 + 20.5828i 0.319189 + 0.982363i 0.973996 + 0.226567i \(0.0727501\pi\)
−0.654807 + 0.755796i \(0.727250\pi\)
\(440\) −2.53829 + 29.9957i −0.121008 + 1.42999i
\(441\) −1.49133 + 4.58983i −0.0710155 + 0.218563i
\(442\) 1.77435 13.1616i 0.0843974 0.626035i
\(443\) 8.27711 + 8.27711i 0.393257 + 0.393257i 0.875847 0.482589i \(-0.160304\pi\)
−0.482589 + 0.875847i \(0.660304\pi\)
\(444\) 0.878296 + 2.33121i 0.0416821 + 0.110634i
\(445\) −2.67779 3.65917i −0.126940 0.173461i
\(446\) −9.24495 26.3668i −0.437761 1.24851i
\(447\) 1.13457 7.16341i 0.0536635 0.338818i
\(448\) −9.41194 7.10979i −0.444673 0.335906i
\(449\) 15.5833i 0.735422i −0.929940 0.367711i \(-0.880142\pi\)
0.929940 0.367711i \(-0.119858\pi\)
\(450\) 3.02013 6.39365i 0.142370 0.301400i
\(451\) 26.6507i 1.25493i
\(452\) 7.56119 4.30307i 0.355648 0.202399i
\(453\) 1.39072 8.78066i 0.0653417 0.412551i
\(454\) 0.220893 0.0774513i 0.0103670 0.00363497i
\(455\) 0.0634455 + 18.4741i 0.00297437 + 0.866078i
\(456\) −0.669397 9.65448i −0.0313474 0.452112i
\(457\) −1.36886 1.36886i −0.0640324 0.0640324i 0.674365 0.738398i \(-0.264417\pi\)
−0.738398 + 0.674365i \(0.764417\pi\)
\(458\) −10.5074 1.41653i −0.490977 0.0661899i
\(459\) 0.517886 1.59389i 0.0241729 0.0743964i
\(460\) 3.82817 35.4751i 0.178489 1.65403i
\(461\) 1.20334 + 3.70349i 0.0560450 + 0.172489i 0.975161 0.221499i \(-0.0710951\pi\)
−0.919115 + 0.393988i \(0.871095\pi\)
\(462\) −1.77833 9.76413i −0.0827355 0.454268i
\(463\) 30.4751 15.5278i 1.41630 0.721639i 0.432618 0.901577i \(-0.357590\pi\)
0.983678 + 0.179938i \(0.0575898\pi\)
\(464\) 21.4142 + 24.3852i 0.994128 + 1.13206i
\(465\) 4.39110 + 2.21842i 0.203632 + 0.102877i
\(466\) −8.59059 + 12.4166i −0.397951 + 0.575189i
\(467\) 1.58480 0.251008i 0.0733359 0.0116153i −0.119659 0.992815i \(-0.538180\pi\)
0.192995 + 0.981200i \(0.438180\pi\)
\(468\) 10.9762 2.26192i 0.507376 0.104557i
\(469\) 6.49234 8.93595i 0.299789 0.412624i
\(470\) −10.2913 + 14.9845i −0.474702 + 0.691183i
\(471\) 2.60572 + 3.58647i 0.120065 + 0.165256i
\(472\) 30.7692 18.4634i 1.41627 0.849846i
\(473\) 14.6578 + 7.46852i 0.673966 + 0.343403i
\(474\) 3.75992 12.5501i 0.172699 0.576443i
\(475\) −17.1074 + 0.117506i −0.784943 + 0.00539152i
\(476\) −2.71733 + 4.12797i −0.124549 + 0.189205i
\(477\) −1.97576 + 3.87764i −0.0904637 + 0.177545i
\(478\) −28.3364 13.6240i −1.29608 0.623145i
\(479\) −5.24823 + 3.81306i −0.239798 + 0.174223i −0.701193 0.712971i \(-0.747349\pi\)
0.461395 + 0.887195i \(0.347349\pi\)
\(480\) 11.0425 + 6.16960i 0.504017 + 0.281602i
\(481\) 5.64658 + 4.10248i 0.257462 + 0.187057i
\(482\) 13.6849 + 25.3922i 0.623332 + 1.15658i
\(483\) 1.84027 + 11.6190i 0.0837351 + 0.528683i
\(484\) −14.5562 18.2054i −0.661643 0.827517i
\(485\) 1.21710 + 7.51727i 0.0552655 + 0.341341i
\(486\) 1.41384 0.0326299i 0.0641330 0.00148012i
\(487\) −1.10097 2.16077i −0.0498896 0.0979138i 0.864716 0.502262i \(-0.167499\pi\)
−0.914605 + 0.404348i \(0.867499\pi\)
\(488\) −7.71433 + 18.1441i −0.349211 + 0.821346i
\(489\) 3.78563 1.23002i 0.171192 0.0556236i
\(490\) −6.56561 + 13.7767i −0.296604 + 0.622370i
\(491\) 12.7330 + 4.13721i 0.574634 + 0.186710i 0.581895 0.813264i \(-0.302311\pi\)
−0.00726141 + 0.999974i \(0.502311\pi\)
\(492\) −10.2019 4.61829i −0.459936 0.208209i
\(493\) 9.61465 9.61465i 0.433022 0.433022i
\(494\) −16.4391 21.5622i −0.739630 0.970127i
\(495\) 3.32360 + 10.1107i 0.149385 + 0.454443i
\(496\) −4.49460 + 7.56628i −0.201814 + 0.339736i
\(497\) −18.3305 2.90327i −0.822237 0.130230i
\(498\) −6.37147 6.08401i −0.285513 0.272631i
\(499\) −33.0488 −1.47947 −0.739734 0.672900i \(-0.765049\pi\)
−0.739734 + 0.672900i \(0.765049\pi\)
\(500\) 12.1016 18.8029i 0.541202 0.840893i
\(501\) 20.2591 0.905108
\(502\) −18.4344 17.6027i −0.822767 0.785647i
\(503\) 14.8800 + 2.35677i 0.663468 + 0.105083i 0.479081 0.877771i \(-0.340970\pi\)
0.184387 + 0.982854i \(0.440970\pi\)
\(504\) −4.04587 1.01128i −0.180217 0.0450459i
\(505\) 9.60859 + 29.2303i 0.427577 + 1.30073i
\(506\) 32.5611 + 42.7084i 1.44752 + 1.89862i
\(507\) 13.0096 13.0096i 0.577779 0.577779i
\(508\) 2.83051 6.25264i 0.125584 0.277416i
\(509\) −15.1212 4.91317i −0.670234 0.217772i −0.0459196 0.998945i \(-0.514622\pi\)
−0.624315 + 0.781173i \(0.714622\pi\)
\(510\) 2.28001 4.78419i 0.100960 0.211847i
\(511\) 14.3031 4.64736i 0.632732 0.205587i
\(512\) −12.3573 + 18.9552i −0.546119 + 0.837708i
\(513\) −1.55336 3.04864i −0.0685825 0.134601i
\(514\) 2.33089 0.0537945i 0.102811 0.00237278i
\(515\) 2.18690 + 13.5072i 0.0963663 + 0.595196i
\(516\) 5.39899 4.31678i 0.237677 0.190036i
\(517\) −4.28016 27.0239i −0.188241 1.18851i
\(518\) −1.23221 2.28635i −0.0541402 0.100457i
\(519\) −6.18648 4.49474i −0.271556 0.197297i
\(520\) 35.3457 2.57271i 1.55001 0.112821i
\(521\) −18.9526 + 13.7698i −0.830327 + 0.603268i −0.919652 0.392735i \(-0.871529\pi\)
0.0893252 + 0.996003i \(0.471529\pi\)
\(522\) 10.3408 + 4.97178i 0.452604 + 0.217609i
\(523\) −18.9802 + 37.2508i −0.829947 + 1.62886i −0.0535947 + 0.998563i \(0.517068\pi\)
−0.776352 + 0.630300i \(0.782932\pi\)
\(524\) 12.3522 + 8.13110i 0.539608 + 0.355209i
\(525\) −2.22992 + 7.02685i −0.0973217 + 0.306677i
\(526\) −10.3539 + 34.5597i −0.451451 + 1.50687i
\(527\) 3.28536 + 1.67398i 0.143113 + 0.0729196i
\(528\) −18.4498 + 4.69880i −0.802924 + 0.204489i
\(529\) −23.8974 32.8920i −1.03902 1.43009i
\(530\) −7.79124 + 11.3443i −0.338430 + 0.492766i
\(531\) 7.45712 10.2638i 0.323612 0.445413i
\(532\) 2.03645 + 9.88213i 0.0882914 + 0.428445i
\(533\) −30.9888 + 4.90814i −1.34227 + 0.212595i
\(534\) 1.63165 2.35834i 0.0706083 0.102055i
\(535\) −24.6225 12.4394i −1.06452 0.537804i
\(536\) −17.9623 11.2388i −0.775853 0.485442i
\(537\) −14.8424 + 7.56258i −0.640497 + 0.326349i
\(538\) 6.23457 + 34.2316i 0.268791 + 1.47583i
\(539\) −7.09824 21.8461i −0.305743 0.940980i
\(540\) 4.44632 + 0.479810i 0.191339 + 0.0206477i
\(541\) 7.36951 22.6810i 0.316840 0.975133i −0.658150 0.752886i \(-0.728661\pi\)
0.974990 0.222247i \(-0.0713391\pi\)
\(542\) 1.32327 + 0.178394i 0.0568394 + 0.00766267i
\(543\) −12.5231 12.5231i −0.537419 0.537419i
\(544\) 8.26031 + 4.65246i 0.354158 + 0.199473i
\(545\) 0.107261 + 31.2323i 0.00459456 + 1.33784i
\(546\) −11.0260 + 3.86602i −0.471868 + 0.165450i
\(547\) 4.47666 28.2645i 0.191408 1.20850i −0.685582 0.727996i \(-0.740452\pi\)
0.876990 0.480509i \(-0.159548\pi\)
\(548\) −11.2108 19.6993i −0.478903 0.841511i
\(549\) 6.97065i 0.297500i
\(550\) 6.25783 + 33.0692i 0.266835 + 1.41007i
\(551\) 27.7601i 1.18262i
\(552\) 21.9913 5.06345i 0.936010 0.215515i
\(553\) −2.13675 + 13.4909i −0.0908640 + 0.573693i
\(554\) −5.39982 15.4004i −0.229416 0.654301i
\(555\) 1.64484 + 2.24765i 0.0698194 + 0.0954074i
\(556\) −27.4048 + 10.3249i −1.16222 + 0.437874i
\(557\) −19.6252 19.6252i −0.831547 0.831547i 0.156181 0.987728i \(-0.450082\pi\)
−0.987728 + 0.156181i \(0.950082\pi\)
\(558\) −0.415705 + 3.08358i −0.0175982 + 0.130538i
\(559\) 5.98475 18.4192i 0.253128 0.779048i
\(560\) −12.2689 4.83652i −0.518455 0.204380i
\(561\) 2.46497 + 7.58641i 0.104071 + 0.320298i
\(562\) −7.12854 + 1.29832i −0.300699 + 0.0547661i
\(563\) 24.2640 12.3631i 1.02261 0.521044i 0.139503 0.990222i \(-0.455449\pi\)
0.883104 + 0.469177i \(0.155449\pi\)
\(564\) −11.0864 3.04452i −0.466823 0.128197i
\(565\) 6.85420 6.90144i 0.288358 0.290346i
\(566\) 10.6765 + 7.38668i 0.448767 + 0.310485i
\(567\) −1.45628 + 0.230653i −0.0611582 + 0.00968651i
\(568\) −3.12379 + 35.4647i −0.131071 + 1.48806i
\(569\) 20.7368 28.5418i 0.869333 1.19653i −0.109930 0.993939i \(-0.535063\pi\)
0.979263 0.202594i \(-0.0649373\pi\)
\(570\) −3.61513 10.1981i −0.151421 0.427153i
\(571\) −2.29350 3.15674i −0.0959802 0.132105i 0.758326 0.651876i \(-0.226018\pi\)
−0.854306 + 0.519770i \(0.826018\pi\)
\(572\) −35.9376 + 39.4177i −1.50263 + 1.64814i
\(573\) −8.57359 4.36846i −0.358167 0.182495i
\(574\) 11.1843 + 3.35074i 0.466822 + 0.139857i
\(575\) −6.51106 39.3577i −0.271530 1.64133i
\(576\) −1.39846 + 7.87682i −0.0582691 + 0.328201i
\(577\) −11.1988 + 21.9789i −0.466213 + 0.914994i 0.531478 + 0.847072i \(0.321637\pi\)
−0.997691 + 0.0679219i \(0.978363\pi\)
\(578\) −8.69637 + 18.0876i −0.361721 + 0.752343i
\(579\) 9.28323 6.74466i 0.385798 0.280299i
\(580\) 30.3751 + 19.8459i 1.26126 + 0.824056i
\(581\) 7.43071 + 5.39873i 0.308278 + 0.223977i
\(582\) −4.23972 + 2.28496i −0.175742 + 0.0947147i
\(583\) −3.24039 20.4590i −0.134203 0.847326i
\(584\) −10.7916 26.7554i −0.446559 1.10715i
\(585\) 11.1444 5.72665i 0.460764 0.236768i
\(586\) −0.962505 41.7049i −0.0397607 1.72281i
\(587\) −1.15344 2.26375i −0.0476076 0.0934351i 0.865977 0.500084i \(-0.166697\pi\)
−0.913585 + 0.406648i \(0.866697\pi\)
\(588\) −9.59274 1.06851i −0.395598 0.0440645i
\(589\) 7.15949 2.32626i 0.295002 0.0958519i
\(590\) 27.6067 29.1105i 1.13655 1.19846i
\(591\) −2.07227 0.673322i −0.0852419 0.0276968i
\(592\) −4.21192 + 2.66147i −0.173109 + 0.109386i
\(593\) 24.4019 24.4019i 1.00206 1.00206i 0.00206677 0.999998i \(-0.499342\pi\)
0.999998 0.00206677i \(-0.000657873\pi\)
\(594\) −5.35292 + 4.08110i −0.219633 + 0.167449i
\(595\) −1.68938 + 5.26080i −0.0692580 + 0.215672i
\(596\) 14.4900 0.669183i 0.593532 0.0274108i
\(597\) 9.57120 + 1.51593i 0.391723 + 0.0620429i
\(598\) 43.6636 45.7267i 1.78554 1.86990i
\(599\) 10.8060 0.441521 0.220761 0.975328i \(-0.429146\pi\)
0.220761 + 0.975328i \(0.429146\pi\)
\(600\) 13.7433 + 3.33505i 0.561067 + 0.136153i
\(601\) −18.5184 −0.755379 −0.377690 0.925932i \(-0.623281\pi\)
−0.377690 + 0.925932i \(0.623281\pi\)
\(602\) −4.97714 + 5.21230i −0.202853 + 0.212438i
\(603\) −7.39906 1.17190i −0.301313 0.0477233i
\(604\) 17.7613 0.820261i 0.722697 0.0333760i
\(605\) −21.1358 15.2454i −0.859293 0.619815i
\(606\) −15.4754 + 11.7985i −0.628645 + 0.479282i
\(607\) 31.2527 31.2527i 1.26851 1.26851i 0.321651 0.946858i \(-0.395762\pi\)
0.946858 0.321651i \(-0.104238\pi\)
\(608\) 18.6414 5.20843i 0.756007 0.211230i
\(609\) −11.3770 3.69662i −0.461021 0.149795i
\(610\) −2.87001 + 21.8555i −0.116203 + 0.884904i
\(611\) −30.6344 + 9.95373i −1.23934 + 0.402685i
\(612\) 3.33123 + 0.371056i 0.134657 + 0.0149990i
\(613\) −3.45059 6.77216i −0.139368 0.273525i 0.810764 0.585373i \(-0.199052\pi\)
−0.950132 + 0.311848i \(0.899052\pi\)
\(614\) −0.0494794 2.14392i −0.00199683 0.0865215i
\(615\) −12.3728 1.91613i −0.498921 0.0772659i
\(616\) 18.4085 7.42492i 0.741700 0.299158i
\(617\) −5.40602 34.1323i −0.217638 1.37411i −0.818384 0.574672i \(-0.805130\pi\)
0.600746 0.799440i \(-0.294870\pi\)
\(618\) −7.61799 + 4.10566i −0.306441 + 0.165154i
\(619\) 11.1832 + 8.12509i 0.449492 + 0.326575i 0.789395 0.613885i \(-0.210394\pi\)
−0.339903 + 0.940460i \(0.610394\pi\)
\(620\) −2.57298 + 9.49696i −0.103333 + 0.381407i
\(621\) 6.45476 4.68966i 0.259020 0.188189i
\(622\) −0.0531728 + 0.110594i −0.00213203 + 0.00443441i
\(623\) −1.35738 + 2.66400i −0.0543822 + 0.106731i
\(624\) 8.86147 + 20.5876i 0.354743 + 0.824163i
\(625\) 7.39809 23.8803i 0.295923 0.955212i
\(626\) 30.0177 + 8.99313i 1.19975 + 0.359438i
\(627\) 14.5106 + 7.39350i 0.579496 + 0.295268i
\(628\) −5.97348 + 6.55193i −0.238368 + 0.261451i
\(629\) 1.22700 + 1.68882i 0.0489237 + 0.0673376i
\(630\) −4.66094 + 0.123587i −0.185696 + 0.00492381i
\(631\) 15.1133 20.8017i 0.601652 0.828103i −0.394206 0.919022i \(-0.628980\pi\)
0.995858 + 0.0909189i \(0.0289804\pi\)
\(632\) 26.1013 + 2.29905i 1.03825 + 0.0914513i
\(633\) −24.3889 + 3.86282i −0.969372 + 0.153533i
\(634\) −37.0951 25.6647i −1.47323 1.01928i
\(635\) 1.17438 7.58320i 0.0466038 0.300930i
\(636\) −8.39323 2.30492i −0.332813 0.0913959i
\(637\) −24.0949 + 12.2770i −0.954675 + 0.486431i
\(638\) −53.7283 + 9.78550i −2.12713 + 0.387411i
\(639\) 3.88966 + 11.9711i 0.153872 + 0.473571i
\(640\) −7.62778 + 24.1209i −0.301514 + 0.953462i
\(641\) −3.11325 + 9.58161i −0.122966 + 0.378451i −0.993525 0.113613i \(-0.963757\pi\)
0.870559 + 0.492064i \(0.163757\pi\)
\(642\) 2.33101 17.2907i 0.0919975 0.682410i
\(643\) 17.4447 + 17.4447i 0.687951 + 0.687951i 0.961779 0.273828i \(-0.0882899\pi\)
−0.273828 + 0.961779i \(0.588290\pi\)
\(644\) −22.0169 + 8.29499i −0.867587 + 0.326868i
\(645\) 4.52119 6.26805i 0.178022 0.246804i
\(646\) −2.68325 7.65269i −0.105571 0.301091i
\(647\) −4.48496 + 28.3169i −0.176322 + 1.11325i 0.727741 + 0.685852i \(0.240570\pi\)
−0.904063 + 0.427400i \(0.859430\pi\)
\(648\) 0.634636 + 2.75631i 0.0249308 + 0.108278i
\(649\) 60.3852i 2.37033i
\(650\) 37.2995 13.3666i 1.46301 0.524283i
\(651\) 3.24397i 0.127141i
\(652\) 3.93755 + 6.91891i 0.154206 + 0.270966i
\(653\) −0.257017 + 1.62274i −0.0100578 + 0.0635027i −0.992207 0.124602i \(-0.960235\pi\)
0.982149 + 0.188105i \(0.0602345\pi\)
\(654\) −18.6405 + 6.53589i −0.728902 + 0.255574i
\(655\) 15.7420 + 5.05517i 0.615089 + 0.197522i
\(656\) 4.92834 21.8481i 0.192419 0.853025i
\(657\) −7.21245 7.21245i −0.281384 0.281384i
\(658\) 11.8790 + 1.60144i 0.463092 + 0.0624307i
\(659\) −6.95495 + 21.4051i −0.270926 + 0.833826i 0.719342 + 0.694656i \(0.244443\pi\)
−0.990269 + 0.139170i \(0.955557\pi\)
\(660\) −18.4636 + 10.5918i −0.718696 + 0.412284i
\(661\) 12.2871 + 37.8159i 0.477914 + 1.47087i 0.841986 + 0.539499i \(0.181386\pi\)
−0.364072 + 0.931371i \(0.618614\pi\)
\(662\) −4.87099 26.7447i −0.189316 1.03946i
\(663\) 8.36733 4.26337i 0.324960 0.165575i
\(664\) 9.34566 14.9366i 0.362682 0.579653i
\(665\) 5.15583 + 10.0335i 0.199934 + 0.389084i
\(666\) −1.00224 + 1.44861i −0.0388361 + 0.0561326i
\(667\) 63.9350 10.1263i 2.47557 0.392092i
\(668\) 8.17791 + 39.6843i 0.316413 + 1.53543i
\(669\) 11.6129 15.9838i 0.448980 0.617968i
\(670\) −22.7162 6.72071i −0.877603 0.259644i
\(671\) −19.5016 26.8416i −0.752851 1.03621i
\(672\) 0.347749 8.33343i 0.0134147 0.321469i
\(673\) 9.74354 + 4.96458i 0.375586 + 0.191371i 0.631585 0.775306i \(-0.282405\pi\)
−0.255999 + 0.966677i \(0.582405\pi\)
\(674\) −5.85549 + 19.5447i −0.225545 + 0.752835i
\(675\) 4.93295 0.816074i 0.189869 0.0314107i
\(676\) 30.7354 + 20.2323i 1.18213 + 0.778164i
\(677\) 20.7348 40.6944i 0.796904 1.56401i −0.0285840 0.999591i \(-0.509100\pi\)
0.825488 0.564420i \(-0.190900\pi\)
\(678\) 5.54422 + 2.66562i 0.212925 + 0.102373i
\(679\) 4.06236 2.95147i 0.155899 0.113267i
\(680\) 10.2918 + 2.53495i 0.394673 + 0.0972110i
\(681\) 0.133907 + 0.0972891i 0.00513132 + 0.00372812i
\(682\) −7.02609 13.0368i −0.269043 0.499206i
\(683\) 3.21000 + 20.2671i 0.122827 + 0.775500i 0.969807 + 0.243875i \(0.0784186\pi\)
−0.846980 + 0.531626i \(0.821581\pi\)
\(684\) 5.34476 4.27342i 0.204362 0.163398i
\(685\) −17.9804 17.8573i −0.686996 0.682294i
\(686\) 24.6527 0.568959i 0.941245 0.0217230i
\(687\) −3.40358 6.67991i −0.129855 0.254854i
\(688\) 10.6353 + 8.83322i 0.405466 + 0.336763i
\(689\) −23.1925 + 7.53569i −0.883563 + 0.287087i
\(690\) 22.1688 12.0462i 0.843954 0.458589i
\(691\) −19.2612 6.25835i −0.732731 0.238079i −0.0811970 0.996698i \(-0.525874\pi\)
−0.651534 + 0.758619i \(0.725874\pi\)
\(692\) 6.30720 13.9327i 0.239764 0.529641i
\(693\) 4.96237 4.96237i 0.188505 0.188505i
\(694\) −2.98483 3.91501i −0.113303 0.148612i
\(695\) −26.4225 + 19.3361i −1.00226 + 0.733460i
\(696\) −5.56468 + 22.2629i −0.210929 + 0.843873i
\(697\) −9.26836 1.46796i −0.351064 0.0556031i
\(698\) −1.08719 1.03814i −0.0411506 0.0392940i
\(699\) −10.6764 −0.403818
\(700\) −14.6646 1.53155i −0.554270 0.0578872i
\(701\) 13.8933 0.524741 0.262370 0.964967i \(-0.415496\pi\)
0.262370 + 0.964967i \(0.415496\pi\)
\(702\) 5.73122 + 5.47265i 0.216311 + 0.206552i
\(703\) 4.20939 + 0.666701i 0.158760 + 0.0251451i
\(704\) −16.6518 34.2434i −0.627587 1.29060i
\(705\) −12.8538 + 0.0441439i −0.484103 + 0.00166255i
\(706\) −17.6449 23.1437i −0.664074 0.871025i
\(707\) 14.3463 14.3463i 0.539548 0.539548i
\(708\) 23.1154 + 10.4641i 0.868731 + 0.393266i
\(709\) 15.5492 + 5.05225i 0.583964 + 0.189741i 0.586076 0.810256i \(-0.300672\pi\)
−0.00211169 + 0.999998i \(0.500672\pi\)
\(710\) 7.26663 + 39.1353i 0.272712 + 1.46872i
\(711\) 8.81053 2.86271i 0.330421 0.107360i
\(712\) 5.27825 + 2.24415i 0.197811 + 0.0841032i
\(713\) 7.96929 + 15.6406i 0.298452 + 0.585746i
\(714\) −3.49364 + 0.0806295i −0.130746 + 0.00301748i
\(715\) −26.8921 + 53.2298i −1.00571 + 1.99068i
\(716\) −20.8053 26.0211i −0.777529 0.972455i
\(717\) −3.47793 21.9588i −0.129886 0.820065i
\(718\) −11.0408 20.4860i −0.412038 0.764531i
\(719\) 6.10365 + 4.43456i 0.227628 + 0.165381i 0.695753 0.718281i \(-0.255071\pi\)
−0.468126 + 0.883662i \(0.655071\pi\)
\(720\) 0.854962 + 8.90332i 0.0318625 + 0.331807i
\(721\) 7.29931 5.30326i 0.271840 0.197504i
\(722\) 9.29514 + 4.46904i 0.345929 + 0.166320i
\(723\) −9.25986 + 18.1735i −0.344378 + 0.675880i
\(724\) 19.4756 29.5860i 0.723807 1.09955i
\(725\) 38.6661 + 12.2704i 1.43602 + 0.455712i
\(726\) 4.73021 15.7887i 0.175554 0.585974i
\(727\) 42.6795 + 21.7463i 1.58289 + 0.806525i 0.999982 0.00600972i \(-0.00191296\pi\)
0.582913 + 0.812535i \(0.301913\pi\)
\(728\) −12.0237 20.0375i −0.445629 0.742641i
\(729\) 0.587785 + 0.809017i 0.0217698 + 0.0299636i
\(730\) −19.6441 25.5832i −0.727059 0.946876i
\(731\) 3.40471 4.68618i 0.125928 0.173325i
\(732\) −13.6544 + 2.81382i −0.504681 + 0.104002i
\(733\) 12.5781 1.99218i 0.464584 0.0735829i 0.0802457 0.996775i \(-0.474430\pi\)
0.384339 + 0.923192i \(0.374430\pi\)
\(734\) 15.3035 22.1193i 0.564863 0.816439i
\(735\) −10.6526 + 1.72473i −0.392928 + 0.0636177i
\(736\) 18.7956 + 41.0334i 0.692816 + 1.51251i
\(737\) 31.7699 16.1876i 1.17026 0.596276i
\(738\) −1.41886 7.79040i −0.0522289 0.286769i
\(739\) −7.24911 22.3105i −0.266663 0.820704i −0.991306 0.131579i \(-0.957995\pi\)
0.724643 0.689125i \(-0.242005\pi\)
\(740\) −3.73882 + 4.12927i −0.137442 + 0.151795i
\(741\) 5.92463 18.2341i 0.217647 0.669848i
\(742\) 8.99326 + 1.21241i 0.330153 + 0.0445088i
\(743\) −31.2758 31.2758i −1.14740 1.14740i −0.987062 0.160337i \(-0.948742\pi\)
−0.160337 0.987062i \(-0.551258\pi\)
\(744\) −6.20804 + 0.430437i −0.227598 + 0.0157806i
\(745\) 15.4065 5.06444i 0.564450 0.185547i
\(746\) −0.781247 + 0.273927i −0.0286035 + 0.0100292i
\(747\) 0.974493 6.15271i 0.0356548 0.225116i
\(748\) −13.8655 + 7.89087i −0.506974 + 0.288519i
\(749\) 18.1901i 0.664652i
\(750\) 15.8026 0.527650i 0.577029 0.0192671i
\(751\) 25.1683i 0.918404i 0.888332 + 0.459202i \(0.151865\pi\)
−0.888332 + 0.459202i \(0.848135\pi\)
\(752\) 1.48850 22.9455i 0.0542799 0.836737i
\(753\) 2.81947 17.8014i 0.102747 0.648721i
\(754\) 21.2732 + 60.6718i 0.774726 + 2.20954i
\(755\) 18.8847 6.20781i 0.687286 0.225925i
\(756\) −1.03967 2.75952i −0.0378123 0.100363i
\(757\) 19.3441 + 19.3441i 0.703072 + 0.703072i 0.965069 0.261997i \(-0.0843809\pi\)
−0.261997 + 0.965069i \(0.584381\pi\)
\(758\) 0.939524 6.96911i 0.0341251 0.253129i
\(759\) −11.7350 + 36.1166i −0.425953 + 1.31095i
\(760\) 18.5172 11.1981i 0.671690 0.406198i
\(761\) −8.59037 26.4384i −0.311401 0.958392i −0.977211 0.212271i \(-0.931914\pi\)
0.665810 0.746121i \(-0.268086\pi\)
\(762\) 4.77466 0.869605i 0.172968 0.0315025i
\(763\) 18.3497 9.34964i 0.664304 0.338480i
\(764\) 5.09624 18.5577i 0.184376 0.671393i
\(765\) 3.69929 0.598940i 0.133748 0.0216547i
\(766\) −21.5394 14.9023i −0.778251 0.538443i
\(767\) 70.2144 11.1209i 2.53530 0.401551i
\(768\) −15.9939 + 0.440254i −0.577132 + 0.0158863i
\(769\) −13.5028 + 18.5850i −0.486923 + 0.670192i −0.979817 0.199897i \(-0.935939\pi\)
0.492894 + 0.870090i \(0.335939\pi\)
\(770\) 17.6020 13.5157i 0.634331 0.487071i
\(771\) 0.969038 + 1.33377i 0.0348991 + 0.0480344i
\(772\) 16.9590 + 15.4618i 0.610369 + 0.556481i
\(773\) 17.5103 + 8.92192i 0.629800 + 0.320899i 0.739592 0.673055i \(-0.235018\pi\)
−0.109792 + 0.993955i \(0.535018\pi\)