Properties

Label 300.2.w.a.67.14
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 67.14
Character \(\chi\) \(=\) 300.67
Dual form 300.2.w.a.103.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.253401 + 1.39133i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-1.87158 - 0.705127i) q^{4} +(-0.698282 - 2.12424i) q^{5} +(-0.467933 + 1.33456i) q^{6} +(1.04258 - 1.04258i) q^{7} +(1.45532 - 2.42529i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\) \(q+(-0.253401 + 1.39133i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-1.87158 - 0.705127i) q^{4} +(-0.698282 - 2.12424i) q^{5} +(-0.467933 + 1.33456i) q^{6} +(1.04258 - 1.04258i) q^{7} +(1.45532 - 2.42529i) q^{8} +(0.951057 + 0.309017i) q^{9} +(3.13246 - 0.433253i) q^{10} +(4.52673 - 1.47082i) q^{11} +(-1.73823 - 0.989225i) q^{12} +(2.54390 + 4.99269i) q^{13} +(1.18638 + 1.71477i) q^{14} +(-0.357381 - 2.20732i) q^{15} +(3.00559 + 2.63940i) q^{16} +(0.262171 + 1.65528i) q^{17} +(-0.670942 + 1.24492i) q^{18} +(-2.76811 - 2.01115i) q^{19} +(-0.190971 + 4.46806i) q^{20} +(1.19285 - 0.866653i) q^{21} +(0.899317 + 6.67086i) 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} +(-2.68643 + 1.21612i) q^{28} +(-4.76887 - 6.56378i) q^{29} +(3.16167 + 0.0621050i) q^{30} +(-1.29321 + 1.77995i) q^{31} +(-4.43388 + 3.51293i) q^{32} +(4.70108 - 0.744578i) q^{33} +(-2.36947 - 0.0546849i) q^{34} +(-2.94272 - 1.48668i) q^{35} +(-1.56208 - 1.24896i) q^{36} +(1.10983 - 0.565484i) q^{37} +(3.49960 - 3.34171i) q^{38} +(1.73155 + 5.32918i) q^{39} +(-6.16813 - 1.39791i) q^{40} +(-1.73027 + 5.32522i) q^{41} +(0.903528 + 1.87925i) q^{42} +(2.44396 + 2.44396i) q^{43} +(-9.50923 - 0.439160i) q^{44} +(-0.00767928 - 2.23605i) q^{45} +(8.97295 + 6.84103i) q^{46} +(0.899254 - 5.67766i) q^{47} +(2.55570 + 3.07708i) q^{48} +4.82603i q^{49} +(-3.10767 - 6.35156i) q^{50} +1.67591i q^{51} +(-1.24063 - 11.1380i) q^{52} +(-0.680800 + 4.29840i) q^{53} +(-0.857431 + 1.12464i) q^{54} +(-6.28532 - 8.58881i) q^{55} +(-1.01128 - 4.04587i) q^{56} +(-2.41941 - 2.41941i) q^{57} +(10.3408 - 4.97178i) q^{58} +(-3.92044 + 12.0659i) q^{59} +(-0.887578 + 4.38317i) q^{60} +(2.15405 + 6.62949i) q^{61} +(-2.14879 - 2.25032i) q^{62} +(1.31373 - 0.669381i) q^{63} +(-3.76408 - 7.05915i) q^{64} +(8.82932 - 8.89017i) q^{65} +(-0.155308 + 6.72942i) q^{66} +(7.39906 - 1.17190i) q^{67} +(0.676511 - 3.28285i) q^{68} +(4.68966 - 6.45476i) q^{69} +(2.81415 - 3.71756i) q^{70} +(-7.39857 - 10.1833i) q^{71} +(2.13355 - 1.85687i) 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} +(-7.85340 + 1.05874i) q^{78} +(-7.49468 + 5.44520i) q^{79} +(3.50796 - 8.22765i) q^{80} +(0.809017 + 0.587785i) q^{81} +(-6.97066 - 3.75678i) q^{82} +(0.974493 + 6.15271i) q^{83} +(-2.84360 + 0.780899i) q^{84} +(3.33315 - 1.71277i) q^{85} +(-4.01965 + 2.78105i) q^{86} +(-3.68335 - 7.22899i) q^{87} +(3.02066 - 13.1192i) q^{88} +(1.92856 - 0.626628i) q^{89} +(3.11303 + 0.555934i) q^{90} +(7.85754 + 2.55307i) q^{91} +(-11.7919 + 10.7508i) q^{92} +(-1.55574 + 1.55574i) q^{93} +(7.67161 + 2.68988i) q^{94} +(-2.33924 + 7.28448i) q^{95} +(-4.92884 + 2.77607i) q^{96} +(-3.36367 - 0.532753i) q^{97} +(-6.71459 - 1.22292i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.253401 + 1.39133i −0.179182 + 0.983816i
\(3\) 0.987688 + 0.156434i 0.570242 + 0.0903175i
\(4\) −1.87158 0.705127i −0.935788 0.352563i
\(5\) −0.698282 2.12424i −0.312281 0.949990i
\(6\) −0.467933 + 1.33456i −0.191033 + 0.544830i
\(7\) 1.04258 1.04258i 0.394060 0.394060i −0.482072 0.876132i \(-0.660116\pi\)
0.876132 + 0.482072i \(0.160116\pi\)
\(8\) 1.45532 2.42529i 0.514534 0.857470i
\(9\) 0.951057 + 0.309017i 0.317019 + 0.103006i
\(10\) 3.13246 0.433253i 0.990570 0.137007i
\(11\) 4.52673 1.47082i 1.36486 0.443470i 0.467197 0.884153i \(-0.345264\pi\)
0.897663 + 0.440683i \(0.145264\pi\)
\(12\) −1.73823 0.989225i −0.501783 0.285565i
\(13\) 2.54390 + 4.99269i 0.705552 + 1.38472i 0.913604 + 0.406606i \(0.133288\pi\)
−0.208052 + 0.978118i \(0.566712\pi\)
\(14\) 1.18638 + 1.71477i 0.317074 + 0.458291i
\(15\) −0.357381 2.20732i −0.0922753 0.569929i
\(16\) 3.00559 + 2.63940i 0.751398 + 0.659849i
\(17\) 0.262171 + 1.65528i 0.0635858 + 0.401465i 0.998868 + 0.0475627i \(0.0151454\pi\)
−0.935282 + 0.353902i \(0.884855\pi\)
\(18\) −0.670942 + 1.24492i −0.158143 + 0.293431i
\(19\) −2.76811 2.01115i −0.635047 0.461389i 0.223098 0.974796i \(-0.428383\pi\)
−0.858145 + 0.513407i \(0.828383\pi\)
\(20\) −0.190971 + 4.46806i −0.0427025 + 0.999088i
\(21\) 1.19285 0.866653i 0.260300 0.189119i
\(22\) 0.899317 + 6.67086i 0.191735 + 1.42223i
\(23\) 3.62217 7.10891i 0.755275 1.48231i −0.116914 0.993142i \(-0.537300\pi\)
0.872189 0.489169i \(-0.162700\pi\)
\(24\) 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
\(28\) −2.68643 + 1.21612i −0.507688 + 0.229825i
\(29\) −4.76887 6.56378i −0.885556 1.21886i −0.974851 0.222858i \(-0.928461\pi\)
0.0892946 0.996005i \(-0.471539\pi\)
\(30\) 3.16167 + 0.0621050i 0.577239 + 0.0113388i
\(31\) −1.29321 + 1.77995i −0.232268 + 0.319689i −0.909203 0.416354i \(-0.863308\pi\)
0.676935 + 0.736043i \(0.263308\pi\)
\(32\) −4.43388 + 3.51293i −0.783807 + 0.621005i
\(33\) 4.70108 0.744578i 0.818354 0.129614i
\(34\) −2.36947 0.0546849i −0.406361 0.00937839i
\(35\) −2.94272 1.48668i −0.497411 0.251295i
\(36\) −1.56208 1.24896i −0.260346 0.208161i
\(37\) 1.10983 0.565484i 0.182454 0.0929650i −0.360378 0.932807i \(-0.617352\pi\)
0.542832 + 0.839842i \(0.317352\pi\)
\(38\) 3.49960 3.34171i 0.567710 0.542097i
\(39\) 1.73155 + 5.32918i 0.277271 + 0.853351i
\(40\) −6.16813 1.39791i −0.975267 0.221030i
\(41\) −1.73027 + 5.32522i −0.270222 + 0.831659i 0.720222 + 0.693744i \(0.244040\pi\)
−0.990444 + 0.137915i \(0.955960\pi\)
\(42\) 0.903528 + 1.87925i 0.139417 + 0.289974i
\(43\) 2.44396 + 2.44396i 0.372701 + 0.372701i 0.868460 0.495759i \(-0.165110\pi\)
−0.495759 + 0.868460i \(0.665110\pi\)
\(44\) −9.50923 0.439160i −1.43357 0.0662059i
\(45\) −0.00767928 2.23605i −0.00114476 0.333331i
\(46\) 8.97295 + 6.84103i 1.32299 + 1.00865i
\(47\) 0.899254 5.67766i 0.131170 0.828172i −0.831110 0.556109i \(-0.812294\pi\)
0.962279 0.272064i \(-0.0877062\pi\)
\(48\) 2.55570 + 3.07708i 0.368883 + 0.444138i
\(49\) 4.82603i 0.689433i
\(50\) −3.10767 6.35156i −0.439492 0.898247i
\(51\) 1.67591i 0.234675i
\(52\) −1.24063 11.1380i −0.172044 1.54456i
\(53\) −0.680800 + 4.29840i −0.0935150 + 0.590431i 0.895780 + 0.444498i \(0.146618\pi\)
−0.989295 + 0.145932i \(0.953382\pi\)
\(54\) −0.857431 + 1.12464i −0.116682 + 0.153044i
\(55\) −6.28532 8.58881i −0.847512 1.15812i
\(56\) −1.01128 4.04587i −0.135138 0.540652i
\(57\) −2.41941 2.41941i −0.320459 0.320459i
\(58\) 10.3408 4.97178i 1.35781 0.652826i
\(59\) −3.92044 + 12.0659i −0.510398 + 1.57084i 0.281104 + 0.959677i \(0.409299\pi\)
−0.791502 + 0.611166i \(0.790701\pi\)
\(60\) −0.887578 + 4.38317i −0.114586 + 0.565865i
\(61\) 2.15405 + 6.62949i 0.275798 + 0.848819i 0.989007 + 0.147867i \(0.0472409\pi\)
−0.713209 + 0.700951i \(0.752759\pi\)
\(62\) −2.14879 2.25032i −0.272897 0.285791i
\(63\) 1.31373 0.669381i 0.165515 0.0843340i
\(64\) −3.76408 7.05915i −0.470511 0.882394i
\(65\) 8.82932 8.89017i 1.09514 1.10269i
\(66\) −0.155308 + 6.72942i −0.0191171 + 0.828334i
\(67\) 7.39906 1.17190i 0.903939 0.143170i 0.312875 0.949794i \(-0.398708\pi\)
0.591064 + 0.806625i \(0.298708\pi\)
\(68\) 0.676511 3.28285i 0.0820390 0.398104i
\(69\) 4.68966 6.45476i 0.564568 0.777061i
\(70\) 2.81415 3.71756i 0.336355 0.444333i
\(71\) −7.39857 10.1833i −0.878049 1.20853i −0.976958 0.213434i \(-0.931535\pi\)
0.0989090 0.995096i \(-0.468465\pi\)
\(72\) 2.13355 1.85687i 0.251441 0.218834i
\(73\) −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
\(78\) −7.85340 + 1.05874i −0.889223 + 0.119878i
\(79\) −7.49468 + 5.44520i −0.843218 + 0.612633i −0.923268 0.384157i \(-0.874492\pi\)
0.0800501 + 0.996791i \(0.474492\pi\)
\(80\) 3.50796 8.22765i 0.392202 0.919879i
\(81\) 0.809017 + 0.587785i 0.0898908 + 0.0653095i
\(82\) −6.97066 3.75678i −0.769780 0.414867i
\(83\) 0.974493 + 6.15271i 0.106965 + 0.675348i 0.981655 + 0.190666i \(0.0610646\pi\)
−0.874690 + 0.484682i \(0.838935\pi\)
\(84\) −2.84360 + 0.780899i −0.310262 + 0.0852031i
\(85\) 3.33315 1.71277i 0.361531 0.185776i
\(86\) −4.01965 + 2.78105i −0.433450 + 0.299888i
\(87\) −3.68335 7.22899i −0.394897 0.775029i
\(88\) 3.02066 13.1192i 0.322004 1.39851i
\(89\) 1.92856 0.626628i 0.204427 0.0664225i −0.205013 0.978759i \(-0.565724\pi\)
0.409441 + 0.912337i \(0.365724\pi\)
\(90\) 3.11303 + 0.555934i 0.328142 + 0.0586006i
\(91\) 7.85754 + 2.55307i 0.823694 + 0.267634i
\(92\) −11.7919 + 10.7508i −1.22939 + 1.12085i
\(93\) −1.55574 + 1.55574i −0.161322 + 0.161322i
\(94\) 7.67161 + 2.68988i 0.791266 + 0.277440i
\(95\) −2.33924 + 7.28448i −0.240001 + 0.747371i
\(96\) −4.92884 + 2.77607i −0.503047 + 0.283332i
\(97\) −3.36367 0.532753i −0.341529 0.0540929i −0.0166860 0.999861i \(-0.505312\pi\)
−0.324843 + 0.945768i \(0.605312\pi\)
\(98\) −6.71459 1.22292i −0.678276 0.123534i
\(99\) 4.75968 0.478366
\(100\) 9.62458 2.71430i 0.962458 0.271430i
\(101\) −13.7603 −1.36920 −0.684602 0.728917i \(-0.740024\pi\)
−0.684602 + 0.728917i \(0.740024\pi\)
\(102\) −2.33174 0.424679i −0.230877 0.0420494i
\(103\) 6.04390 + 0.957260i 0.595524 + 0.0943217i 0.446918 0.894575i \(-0.352522\pi\)
0.148606 + 0.988897i \(0.452522\pi\)
\(104\) 15.8109 + 1.09626i 1.55039 + 0.107497i
\(105\) −2.67392 1.92872i −0.260948 0.188224i
\(106\) −5.80796 2.03643i −0.564119 0.197796i
\(107\) −8.72357 + 8.72357i −0.843339 + 0.843339i −0.989292 0.145953i \(-0.953375\pi\)
0.145953 + 0.989292i \(0.453375\pi\)
\(108\) −1.34747 1.47795i −0.129660 0.142216i
\(109\) −13.2840 4.31622i −1.27237 0.413419i −0.406486 0.913657i \(-0.633246\pi\)
−0.865888 + 0.500238i \(0.833246\pi\)
\(110\) 13.5425 6.56851i 1.29123 0.626283i
\(111\) 1.18462 0.384907i 0.112439 0.0365338i
\(112\) 5.88538 0.381790i 0.556116 0.0360758i
\(113\) 1.97483 + 3.87583i 0.185777 + 0.364607i 0.965045 0.262083i \(-0.0844093\pi\)
−0.779269 + 0.626690i \(0.784409\pi\)
\(114\) 3.97928 2.75311i 0.372693 0.257853i
\(115\) −17.6303 2.73034i −1.64404 0.254605i
\(116\) 4.29700 + 15.6473i 0.398966 + 1.45281i
\(117\) 0.876569 + 5.53444i 0.0810389 + 0.511659i
\(118\) −15.7941 8.51212i −1.45397 0.783604i
\(119\) 1.99911 + 1.45244i 0.183258 + 0.133145i
\(120\) −5.87351 2.34561i −0.536176 0.214124i
\(121\) 9.42875 6.85039i 0.857159 0.622763i
\(122\) −9.76961 + 1.31707i −0.884499 + 0.119242i
\(123\) −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 0.313034 0.949742i \(-0.398655\pi\)
−0.584361 + 0.811494i \(0.698655\pi\)
\(128\) 10.7754 3.44827i 0.952421 0.304787i
\(129\) 2.03155 + 2.79619i 0.178868 + 0.246191i
\(130\) 10.1318 + 14.5372i 0.888615 + 1.27500i
\(131\) 4.34615 5.98196i 0.379725 0.522646i −0.575787 0.817600i \(-0.695304\pi\)
0.955512 + 0.294954i \(0.0953042\pi\)
\(132\) −9.32346 1.92132i −0.811503 0.167230i
\(133\) −4.98278 + 0.789194i −0.432062 + 0.0684318i
\(134\) −0.244440 + 10.5915i −0.0211164 + 0.914963i
\(135\) 0.342211 2.20973i 0.0294529 0.190183i
\(136\) 4.39608 + 1.77312i 0.376961 + 0.152044i
\(137\) 10.0977 5.14506i 0.862708 0.439572i 0.0341118 0.999418i \(-0.489140\pi\)
0.828597 + 0.559846i \(0.189140\pi\)
\(138\) 7.79231 + 8.16048i 0.663325 + 0.694666i
\(139\) 4.52482 + 13.9260i 0.383791 + 1.18119i 0.937354 + 0.348379i \(0.113268\pi\)
−0.553563 + 0.832807i \(0.686732\pi\)
\(140\) 4.45922 + 4.85743i 0.376873 + 0.410528i
\(141\) 1.77636 5.46709i 0.149597 0.460412i
\(142\) 16.0430 7.71337i 1.34630 0.647292i
\(143\) 18.8589 + 18.8589i 1.57706 + 1.57706i
\(144\) 2.04287 + 3.43899i 0.170239 + 0.286583i
\(145\) −10.6130 + 14.7136i −0.881365 + 1.22190i
\(146\) 8.74574 11.4712i 0.723803 0.949367i
\(147\) −0.754958 + 4.76662i −0.0622679 + 0.393144i
\(148\) −2.47586 + 0.275779i −0.203514 + 0.0226689i
\(149\) 7.25270i 0.594165i 0.954852 + 0.297082i \(0.0960136\pi\)
−0.954852 + 0.297082i \(0.903986\pi\)
\(150\) −2.07581 6.75951i −0.169489 0.551912i
\(151\) 8.89011i 0.723467i −0.932282 0.361733i \(-0.882185\pi\)
0.932282 0.361733i \(-0.117815\pi\)
\(152\) −8.90610 + 3.78660i −0.722380 + 0.307134i
\(153\) −0.262171 + 1.65528i −0.0211953 + 0.133822i
\(154\) 7.89255 + 6.01733i 0.636000 + 0.484890i
\(155\) 4.68408 + 1.50418i 0.376234 + 0.120819i
\(156\) 0.517010 11.1949i 0.0413939 0.896311i
\(157\) −3.13469 3.13469i −0.250175 0.250175i 0.570867 0.821043i \(-0.306607\pi\)
−0.821043 + 0.570867i \(0.806607\pi\)
\(158\) −5.67689 11.8074i −0.451629 0.939344i
\(159\) −1.34484 + 4.13898i −0.106652 + 0.328242i
\(160\) 10.5584 + 6.96562i 0.834716 + 0.550680i
\(161\) −3.63522 11.1881i −0.286496 0.881743i
\(162\) −1.02281 + 0.976661i −0.0803593 + 0.0767337i
\(163\) 3.54660 1.80708i 0.277791 0.141542i −0.309545 0.950885i \(-0.600177\pi\)
0.587336 + 0.809343i \(0.300177\pi\)
\(164\) 6.99328 8.74649i 0.546083 0.682986i
\(165\) −4.86435 9.46631i −0.378689 0.736951i
\(166\) −8.80736 0.203265i −0.683584 0.0157764i
\(167\) 20.0096 3.16922i 1.54839 0.245241i 0.677058 0.735930i \(-0.263255\pi\)
0.871335 + 0.490689i \(0.163255\pi\)
\(168\) −0.365914 4.15426i −0.0282309 0.320508i
\(169\) −10.8143 + 14.8846i −0.831871 + 1.14497i
\(170\) 1.53840 + 5.07151i 0.117990 + 0.388967i
\(171\) −2.01115 2.76811i −0.153796 0.211682i
\(172\) −2.85076 6.29737i −0.217368 0.480170i
\(173\) 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
\(178\) 0.383144 + 2.84205i 0.0287179 + 0.213021i
\(179\) −13.4766 + 9.79134i −1.00729 + 0.731839i −0.963639 0.267208i \(-0.913899\pi\)
−0.0436509 + 0.999047i \(0.513899\pi\)
\(180\) −1.56233 + 4.19036i −0.116449 + 0.312331i
\(181\) 14.3280 + 10.4099i 1.06499 + 0.773762i 0.975005 0.222181i \(-0.0713176\pi\)
0.0899867 + 0.995943i \(0.471318\pi\)
\(182\) −5.54326 + 10.2854i −0.410894 + 0.762408i
\(183\) 1.09045 + 6.88483i 0.0806084 + 0.508942i
\(184\) −11.9698 19.1306i −0.882423 1.41032i
\(185\) −1.97620 1.96267i −0.145293 0.144298i
\(186\) −1.77031 2.55876i −0.129805 0.187617i
\(187\) 3.62140 + 7.10740i 0.264823 + 0.519745i
\(188\) −5.68649 + 9.99209i −0.414730 + 0.728748i
\(189\) 1.40227 0.455626i 0.102000 0.0331419i
\(190\) −9.54231 5.10054i −0.692272 0.370032i
\(191\) −9.15141 2.97347i −0.662173 0.215153i −0.0413989 0.999143i \(-0.513181\pi\)
−0.620774 + 0.783990i \(0.713181\pi\)
\(192\) −2.61345 7.56108i −0.188609 0.545674i
\(193\) −8.11384 + 8.11384i −0.584047 + 0.584047i −0.936013 0.351966i \(-0.885513\pi\)
0.351966 + 0.936013i \(0.385513\pi\)
\(194\) 1.59359 4.54497i 0.114413 0.326309i
\(195\) 10.1113 7.39951i 0.724089 0.529890i
\(196\) 3.40297 9.03229i 0.243069 0.645163i
\(197\) 2.15209 + 0.340857i 0.153330 + 0.0242851i 0.232628 0.972566i \(-0.425268\pi\)
−0.0792975 + 0.996851i \(0.525268\pi\)
\(198\) −1.20611 + 6.62227i −0.0857144 + 0.470624i
\(199\) 9.69051 0.686942 0.343471 0.939163i \(-0.388397\pi\)
0.343471 + 0.939163i \(0.388397\pi\)
\(200\) 1.33759 + 14.0787i 0.0945820 + 0.995517i
\(201\) 7.49129 0.528395
\(202\) 3.48688 19.1451i 0.245336 1.34704i
\(203\) −11.8152 1.87135i −0.829268 0.131343i
\(204\) 1.18173 3.13660i 0.0827378 0.219606i
\(205\) 12.5203 0.0429983i 0.874453 0.00300313i
\(206\) −2.86339 + 8.16647i −0.199502 + 0.568985i
\(207\) 5.64166 5.64166i 0.392123 0.392123i
\(208\) −5.53176 + 21.7204i −0.383558 + 1.50604i
\(209\) −15.4885 5.03252i −1.07136 0.348107i
\(210\) 3.36106 3.23156i 0.231935 0.222999i
\(211\) −23.4844 + 7.63053i −1.61673 + 0.525308i −0.971167 0.238399i \(-0.923377\pi\)
−0.645563 + 0.763707i \(0.723377\pi\)
\(212\) 4.30508 7.56473i 0.295674 0.519548i
\(213\) −5.71447 11.2153i −0.391549 0.768458i
\(214\) −9.92676 14.3479i −0.678580 0.980801i
\(215\) 3.48499 6.89815i 0.237674 0.470450i
\(216\) 2.39776 1.50025i 0.163147 0.102079i
\(217\) 0.507469 + 3.20403i 0.0344493 + 0.217504i
\(218\) 9.37144 17.3886i 0.634714 1.17770i
\(219\) −8.25193 5.99537i −0.557613 0.405130i
\(220\) 5.70725 + 20.5066i 0.384782 + 1.38255i
\(221\) −7.59737 + 5.51981i −0.511055 + 0.371303i
\(222\) 0.235347 + 1.74573i 0.0157954 + 0.117166i
\(223\) 8.96950 17.6036i 0.600642 1.17883i −0.367874 0.929876i \(-0.619914\pi\)
0.968516 0.248951i \(-0.0800857\pi\)
\(224\) −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 0.458878 0.888499i \(-0.348252\pi\)
−0.449089 + 0.893487i \(0.648252\pi\)
\(228\) 2.82212 + 6.23411i 0.186900 + 0.412864i
\(229\) 4.40665 + 6.06523i 0.291200 + 0.400802i 0.929403 0.369066i \(-0.120322\pi\)
−0.638204 + 0.769867i \(0.720322\pi\)
\(230\) 8.26634 23.8377i 0.545066 1.57181i
\(231\) 4.12499 5.67756i 0.271405 0.373556i
\(232\) −22.8593 + 2.01349i −1.50079 + 0.132192i
\(233\) 10.5449 1.67016i 0.690822 0.109415i 0.198855 0.980029i \(-0.436278\pi\)
0.491968 + 0.870614i \(0.336278\pi\)
\(234\) −7.92234 0.182839i −0.517899 0.0119526i
\(235\) −12.6887 + 2.05438i −0.827717 + 0.134013i
\(236\) 15.8454 19.8178i 1.03145 1.29003i
\(237\) −8.25423 + 4.20574i −0.536170 + 0.273192i
\(238\) −2.52739 + 2.41336i −0.163826 + 0.156435i
\(239\) −6.87021 21.1443i −0.444397 1.36771i −0.883143 0.469103i \(-0.844577\pi\)
0.438746 0.898611i \(-0.355423\pi\)
\(240\) 4.75186 7.57759i 0.306731 0.489131i
\(241\) 6.30289 19.3983i 0.406005 1.24956i −0.514048 0.857761i \(-0.671855\pi\)
0.920053 0.391794i \(-0.128145\pi\)
\(242\) 7.14187 + 14.8544i 0.459097 + 0.954875i
\(243\) 0.707107 + 0.707107i 0.0453609 + 0.0453609i
\(244\) 0.643159 13.9265i 0.0411741 0.891550i
\(245\) 10.2517 3.36993i 0.654955 0.215297i
\(246\) −6.29715 4.80098i −0.401492 0.306099i
\(247\) 2.99924 18.9365i 0.190837 1.20490i
\(248\) 2.43487 + 5.72682i 0.154614 + 0.363653i
\(249\) 6.22940i 0.394772i
\(250\) −11.3222 + 11.0366i −0.716080 + 0.698018i
\(251\) 18.0233i 1.13762i −0.822468 0.568811i \(-0.807403\pi\)
0.822468 0.568811i \(-0.192597\pi\)
\(252\) −2.93075 + 0.326448i −0.184620 + 0.0205643i
\(253\) 5.94063 37.5077i 0.373484 2.35809i
\(254\) 2.94248 3.85946i 0.184627 0.242164i
\(255\) 3.56005 1.17026i 0.222939 0.0732846i
\(256\) 2.06717 + 15.8659i 0.129198 + 0.991619i
\(257\) −1.16576 1.16576i −0.0727178 0.0727178i 0.669812 0.742530i \(-0.266374\pi\)
−0.742530 + 0.669812i \(0.766374\pi\)
\(258\) −4.40522 + 2.11800i −0.274257 + 0.131861i
\(259\) 0.567522 1.74665i 0.0352641 0.108532i
\(260\) −22.7934 + 10.4128i −1.41359 + 0.645777i
\(261\) −2.50714 7.71619i −0.155188 0.477620i
\(262\) 7.22154 + 7.56274i 0.446148 + 0.467228i
\(263\) −22.7301 + 11.5815i −1.40160 + 0.714149i −0.981164 0.193176i \(-0.938121\pi\)
−0.420431 + 0.907324i \(0.638121\pi\)
\(264\) 5.03576 12.4851i 0.309930 0.768405i
\(265\) 9.60623 1.55531i 0.590106 0.0955422i
\(266\) 0.164614 7.13265i 0.0100931 0.437331i
\(267\) 2.00285 0.317220i 0.122572 0.0194135i
\(268\) −14.6742 3.02398i −0.896371 0.184719i
\(269\) 14.4616 19.9047i 0.881740 1.21361i −0.0941958 0.995554i \(-0.530028\pi\)
0.975936 0.218057i \(-0.0699720\pi\)
\(270\) 2.98773 + 1.03607i 0.181828 + 0.0630535i
\(271\) 0.554963 + 0.763841i 0.0337116 + 0.0464000i 0.825540 0.564344i \(-0.190871\pi\)
−0.791828 + 0.610744i \(0.790871\pi\)
\(272\) −3.58097 + 5.66707i −0.217128 + 0.343617i
\(273\) 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 \(0.262690\pi\)
\(278\) −20.5222 + 2.76665i −1.23084 + 0.165933i
\(279\) −1.77995 + 1.29321i −0.106563 + 0.0774225i
\(280\) −7.88824 + 4.97336i −0.471413 + 0.297215i
\(281\) 4.14505 + 3.01155i 0.247273 + 0.179654i 0.704517 0.709687i \(-0.251164\pi\)
−0.457244 + 0.889341i \(0.651164\pi\)
\(282\) 7.15637 + 3.85687i 0.426156 + 0.229673i
\(283\) 1.43610 + 9.06715i 0.0853670 + 0.538986i 0.992895 + 0.118994i \(0.0379670\pi\)
−0.907528 + 0.419992i \(0.862033\pi\)
\(284\) 6.66650 + 24.2757i 0.395584 + 1.44050i
\(285\) −3.44999 + 6.82885i −0.204359 + 0.404506i
\(286\) −31.0178 + 21.4600i −1.83412 + 1.26896i
\(287\) 3.74804 + 7.35594i 0.221240 + 0.434207i
\(288\) −5.30243 + 1.97085i −0.312449 + 0.116134i
\(289\) 13.4967 4.38536i 0.793926 0.257962i
\(290\) −17.7821 18.4946i −1.04420 1.08604i
\(291\) −3.23892 1.05239i −0.189869 0.0616921i
\(292\) 13.7441 + 15.0750i 0.804311 + 0.882198i
\(293\) −20.8580 + 20.8580i −1.21854 + 1.21854i −0.250392 + 0.968145i \(0.580559\pi\)
−0.968145 + 0.250392i \(0.919441\pi\)
\(294\) −6.44061 2.25826i −0.375624 0.131704i
\(295\) 28.3684 0.0974256i 1.65167 0.00567234i
\(296\) 0.243687 3.51461i 0.0141640 0.204283i
\(297\) 4.70108 + 0.744578i 0.272785 + 0.0432048i
\(298\) −10.0909 1.83784i −0.584549 0.106463i
\(299\) 44.7071 2.58548
\(300\) 9.93070 1.17526i 0.573349 0.0678538i
\(301\) 5.09608 0.293733
\(302\) 12.3690 + 2.25276i 0.711758 + 0.129632i
\(303\) −13.5909 2.15259i −0.780777 0.123663i
\(304\) −3.01158 13.3508i −0.172726 0.765722i
\(305\) 12.5785 9.20498i 0.720242 0.527075i
\(306\) −2.23660 0.784215i −0.127858 0.0448306i
\(307\) 1.07224 1.07224i 0.0611962 0.0611962i −0.675846 0.737043i \(-0.736222\pi\)
0.737043 + 0.675846i \(0.236222\pi\)
\(308\) −10.3720 + 9.45632i −0.591002 + 0.538824i
\(309\) 5.81975 + 1.89095i 0.331074 + 0.107572i
\(310\) −3.27976 + 6.13591i −0.186278 + 0.348497i
\(311\) −0.0825240 + 0.0268137i −0.00467951 + 0.00152046i −0.311356 0.950293i \(-0.600783\pi\)
0.306676 + 0.951814i \(0.400783\pi\)
\(312\) 15.4448 + 3.55614i 0.874388 + 0.201327i
\(313\) −10.0594 19.7428i −0.568593 1.11593i −0.978969 0.204011i \(-0.934602\pi\)
0.410375 0.911917i \(-0.365398\pi\)
\(314\) 5.15571 3.56704i 0.290953 0.201300i
\(315\) −2.33928 2.32327i −0.131804 0.130901i
\(316\) 17.8664 4.90641i 1.00506 0.276007i
\(317\) 4.98965 + 31.5034i 0.280247 + 1.76941i 0.579244 + 0.815154i \(0.303348\pi\)
−0.298998 + 0.954254i \(0.596652\pi\)
\(318\) −5.41789 2.91993i −0.303820 0.163741i
\(319\) −31.2415 22.6983i −1.74919 1.27086i
\(320\) −12.3670 + 12.9251i −0.691334 + 0.722535i
\(321\) −9.98083 + 7.25150i −0.557076 + 0.404739i
\(322\) 16.4874 2.22271i 0.918808 0.123867i
\(323\) 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
\(328\) 10.3971 + 11.9463i 0.574084 + 0.659624i
\(329\) −4.98190 6.85700i −0.274661 0.378038i
\(330\) 14.4034 4.36912i 0.792879 0.240512i
\(331\) 11.2987 15.5513i 0.621031 0.854776i −0.376396 0.926459i \(-0.622837\pi\)
0.997428 + 0.0716824i \(0.0228368\pi\)
\(332\) 2.51460 12.2024i 0.138007 0.669694i
\(333\) 1.23025 0.194853i 0.0674173 0.0106779i
\(334\) −0.661051 + 28.6430i −0.0361711 + 1.56728i
\(335\) −7.65602 14.8991i −0.418293 0.814023i
\(336\) 5.87265 + 0.543587i 0.320379 + 0.0296551i
\(337\) 12.8547 6.54977i 0.700238 0.356789i −0.0673530 0.997729i \(-0.521455\pi\)
0.767591 + 0.640940i \(0.221455\pi\)
\(338\) −17.9690 18.8180i −0.977386 1.02357i
\(339\) 1.34421 + 4.13704i 0.0730072 + 0.224693i
\(340\) −7.44596 + 0.855283i −0.403814 + 0.0463842i
\(341\) −3.23602 + 9.95944i −0.175240 + 0.539334i
\(342\) 4.36097 2.09672i 0.235814 0.113378i
\(343\) 12.3296 + 12.3296i 0.665738 + 0.665738i
\(344\) 9.48408 2.37058i 0.511347 0.127813i
\(345\) −16.9862 5.45472i −0.914504 0.293672i
\(346\) −6.55669 + 8.60001i −0.352490 + 0.462339i
\(347\) 0.544569 3.43827i 0.0292340 0.184576i −0.968750 0.248038i \(-0.920214\pi\)
0.997984 + 0.0634620i \(0.0202142\pi\)
\(348\) 1.79632 + 16.1268i 0.0962929 + 0.864489i
\(349\) 1.06294i 0.0568981i 0.999595 + 0.0284490i \(0.00905683\pi\)
−0.999595 + 0.0284490i \(0.990943\pi\)
\(350\) −9.86206 3.38203i −0.527149 0.180777i
\(351\) 5.60343i 0.299089i
\(352\) −14.9041 + 22.4235i −0.794390 + 1.19518i
\(353\) −3.21923 + 20.3254i −0.171342 + 1.08181i 0.740736 + 0.671797i \(0.234477\pi\)
−0.912078 + 0.410017i \(0.865523\pi\)
\(354\) −14.2681 10.8781i −0.758340 0.578163i
\(355\) −16.4654 + 22.8271i −0.873893 + 1.21154i
\(356\) −4.05131 0.187100i −0.214719 0.00991626i
\(357\) 1.74728 + 1.74728i 0.0924760 + 0.0924760i
\(358\) −10.2080 21.2315i −0.539507 1.12212i
\(359\) 5.08507 15.6502i 0.268380 0.825988i −0.722516 0.691354i \(-0.757014\pi\)
0.990895 0.134633i \(-0.0429856\pi\)
\(360\) −5.43426 3.23555i −0.286411 0.170529i
\(361\) −2.25362 6.93593i −0.118612 0.365049i
\(362\) −18.1143 + 17.2970i −0.952066 + 0.909112i
\(363\) 10.3843 5.29107i 0.545035 0.277709i
\(364\) −12.9057 10.3188i −0.676445 0.540853i
\(365\) −3.49054 + 22.5391i −0.182703 + 1.17975i
\(366\) −9.85537 0.227452i −0.515148 0.0118891i
\(367\) 18.7851 2.97526i 0.980573 0.155307i 0.354486 0.935061i \(-0.384656\pi\)
0.626086 + 0.779754i \(0.284656\pi\)
\(368\) 29.6500 11.8061i 1.54561 0.615438i
\(369\) −3.29116 + 4.52990i −0.171331 + 0.235817i
\(370\) 3.23148 2.25219i 0.167997 0.117086i
\(371\) 3.77165 + 5.19124i 0.195815 + 0.269516i
\(372\) 4.00867 1.81469i 0.207840 0.0940871i
\(373\) 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
\(378\) 0.278587 + 2.06648i 0.0143290 + 0.106288i
\(379\) 4.02282 2.92275i 0.206639 0.150132i −0.479653 0.877458i \(-0.659237\pi\)
0.686292 + 0.727327i \(0.259237\pi\)
\(380\) 9.51455 11.9840i 0.488086 0.614766i
\(381\) −2.77633 2.01712i −0.142236 0.103340i
\(382\) 6.45605 11.9791i 0.330320 0.612905i
\(383\) −2.89726 18.2926i −0.148043 0.934708i −0.944141 0.329540i \(-0.893106\pi\)
0.796098 0.605167i \(-0.206894\pi\)
\(384\) 11.1822 1.72017i 0.570638 0.0877822i
\(385\) −15.5075 2.40159i −0.790338 0.122396i
\(386\) −9.23294 13.3451i −0.469944 0.679245i
\(387\) 1.56912 + 3.07957i 0.0797629 + 0.156544i
\(388\) 5.91971 + 3.36890i 0.300528 + 0.171030i
\(389\) −14.1818 + 4.60795i −0.719046 + 0.233632i −0.645609 0.763668i \(-0.723397\pi\)
−0.0734363 + 0.997300i \(0.523397\pi\)
\(390\) 7.73291 + 15.9432i 0.391571 + 0.807316i
\(391\) 12.7169 + 4.13196i 0.643120 + 0.208962i
\(392\) 11.7045 + 7.02343i 0.591169 + 0.354737i
\(393\) 5.22842 5.22842i 0.263739 0.263739i
\(394\) −1.01959 + 2.90788i −0.0513660 + 0.146497i
\(395\) 16.8003 + 12.1182i 0.845317 + 0.609734i
\(396\) −8.90811 3.35618i −0.447649 0.168654i
\(397\) 17.2952 + 2.73929i 0.868021 + 0.137481i 0.574533 0.818482i \(-0.305184\pi\)
0.293488 + 0.955963i \(0.405184\pi\)
\(398\) −2.45558 + 13.4827i −0.123087 + 0.675825i
\(399\) −5.04489 −0.252560
\(400\) −19.9271 1.70654i −0.996353 0.0853270i
\(401\) −23.4783 −1.17245 −0.586226 0.810147i \(-0.699387\pi\)
−0.586226 + 0.810147i \(0.699387\pi\)
\(402\) −1.89830 + 10.4228i −0.0946786 + 0.519843i
\(403\) −12.1766 1.92858i −0.606558 0.0960693i
\(404\) 25.7535 + 9.70277i 1.28128 + 0.482731i
\(405\) 0.683675 2.12899i 0.0339721 0.105790i
\(406\) 5.59766 15.9647i 0.277807 0.792313i
\(407\) 4.19215 4.19215i 0.207797 0.207797i
\(408\) 4.06458 + 2.43899i 0.201227 + 0.120748i
\(409\) 36.3503 + 11.8109i 1.79741 + 0.584014i 0.999816 0.0191827i \(-0.00610643\pi\)
0.797593 + 0.603196i \(0.206106\pi\)
\(410\) −3.11282 + 17.4307i −0.153731 + 0.860839i
\(411\) 10.7783 3.50208i 0.531654 0.172745i
\(412\) −10.6366 6.05331i −0.524029 0.298225i
\(413\) 8.49231 + 16.6671i 0.417879 + 0.820134i
\(414\) 6.41979 + 9.27900i 0.315516 + 0.456038i
\(415\) 12.3894 6.36639i 0.608170 0.312514i
\(416\) −28.8184 13.2004i −1.41294 0.647205i
\(417\) 2.29061 + 14.4624i 0.112172 + 0.708225i
\(418\) 10.9267 20.2743i 0.534441 0.991649i
\(419\) −8.44580 6.13623i −0.412604 0.299775i 0.362051 0.932158i \(-0.382077\pi\)
−0.774655 + 0.632384i \(0.782077\pi\)
\(420\) 3.64445 + 5.49521i 0.177831 + 0.268139i
\(421\) 3.57920 2.60044i 0.174439 0.126738i −0.497140 0.867671i \(-0.665616\pi\)
0.671579 + 0.740933i \(0.265616\pi\)
\(422\) −4.66560 34.6080i −0.227118 1.68469i
\(423\) 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
\(428\) 22.4780 10.1756i 1.08652 0.491856i
\(429\) 15.6766 + 21.5769i 0.756871 + 1.04174i
\(430\) 8.71447 + 6.59676i 0.420249 + 0.318124i
\(431\) −14.7423 + 20.2911i −0.710114 + 0.977388i 0.289681 + 0.957123i \(0.406451\pi\)
−0.999795 + 0.0202643i \(0.993549\pi\)
\(432\) 1.47974 + 3.71623i 0.0711941 + 0.178797i
\(433\) 11.9800 1.89745i 0.575723 0.0911856i 0.138219 0.990402i \(-0.455862\pi\)
0.437505 + 0.899216i \(0.355862\pi\)
\(434\) −4.58645 0.105851i −0.220157 0.00508099i
\(435\) −12.7841 + 12.8722i −0.612950 + 0.617175i
\(436\) 21.8185 + 17.4450i 1.04492 + 0.835465i
\(437\) −24.3236 + 12.3935i −1.16356 + 0.592862i
\(438\) 10.4326 9.96188i 0.498487 0.475997i
\(439\) −6.68775 20.5828i −0.319189 0.982363i −0.973996 0.226567i \(-0.927250\pi\)
0.654807 0.755796i \(-0.272750\pi\)
\(440\) −29.9775 + 2.74426i −1.42912 + 0.130827i
\(441\) −1.49133 + 4.58983i −0.0710155 + 0.218563i
\(442\) −5.75468 11.9691i −0.273722 0.569314i
\(443\) −8.27711 8.27711i −0.393257 0.393257i 0.482589 0.875847i \(-0.339696\pi\)
−0.875847 + 0.482589i \(0.839696\pi\)
\(444\) −2.48852 0.114926i −0.118100 0.00545415i
\(445\) −2.67779 3.65917i −0.126940 0.173461i
\(446\) 22.2195 + 16.9403i 1.05212 + 0.802145i
\(447\) −1.13457 + 7.16341i −0.0536635 + 0.338818i
\(448\) −11.2841 3.43539i −0.533126 0.162307i
\(449\) 15.5833i 0.735422i −0.929940 0.367711i \(-0.880142\pi\)
0.929940 0.367711i \(-0.119858\pi\)
\(450\) −0.992833 7.00102i −0.0468026 0.330031i
\(451\) 26.6507i 1.25493i
\(452\) −0.963099 8.64641i −0.0453004 0.406693i
\(453\) 1.39072 8.78066i 0.0653417 0.412551i
\(454\) −0.141920 + 0.186148i −0.00666065 + 0.00873636i
\(455\) −0.0634455 18.4741i −0.00297437 0.866078i
\(456\) −9.38881 + 2.34676i −0.439671 + 0.109897i
\(457\) −1.36886 1.36886i −0.0640324 0.0640324i 0.674365 0.738398i \(-0.264417\pi\)
−0.738398 + 0.674365i \(0.764417\pi\)
\(458\) −9.55536 + 4.59415i −0.446493 + 0.214670i
\(459\) −0.517886 + 1.59389i −0.0241729 + 0.0743964i
\(460\) 31.0713 + 17.5417i 1.44871 + 0.817884i
\(461\) 1.20334 + 3.70349i 0.0560450 + 0.172489i 0.975161 0.221499i \(-0.0710951\pi\)
−0.919115 + 0.393988i \(0.871095\pi\)
\(462\) 6.85407 + 7.17791i 0.318880 + 0.333947i
\(463\) −30.4751 + 15.5278i −1.41630 + 0.721639i −0.983678 0.179938i \(-0.942410\pi\)
−0.432618 + 0.901577i \(0.642410\pi\)
\(464\) 2.99116 32.3150i 0.138861 1.50019i
\(465\) 4.39110 + 2.21842i 0.203632 + 0.102877i
\(466\) −0.348370 + 15.0947i −0.0161379 + 0.699247i
\(467\) −1.58480 + 0.251008i −0.0733359 + 0.0116153i −0.192995 0.981200i \(-0.561820\pi\)
0.119659 + 0.992815i \(0.461820\pi\)
\(468\) 2.26192 10.9762i 0.104557 0.507376i
\(469\) 6.49234 8.93595i 0.299789 0.412624i
\(470\) 0.357007 18.1746i 0.0164675 0.838334i
\(471\) −2.60572 3.58647i −0.120065 0.165256i
\(472\) 23.5578 + 27.0679i 1.08433 + 1.24590i
\(473\) 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
\(478\) 31.1596 4.20071i 1.42521 0.192136i
\(479\) 5.24823 3.81306i 0.239798 0.174223i −0.461395 0.887195i \(-0.652651\pi\)
0.701193 + 0.712971i \(0.252651\pi\)
\(480\) 9.33876 + 8.53156i 0.426254 + 0.389411i
\(481\) 5.64658 + 4.10248i 0.257462 + 0.187057i
\(482\) 25.3922 + 13.6849i 1.15658 + 0.623332i
\(483\) −1.84027 11.6190i −0.0837351 0.528683i
\(484\) −22.4770 + 6.17256i −1.02168 + 0.280571i
\(485\) 1.21710 + 7.51727i 0.0552655 + 0.341341i
\(486\) −1.16300 + 0.804634i −0.0527546 + 0.0364990i
\(487\) 1.10097 + 2.16077i 0.0498896 + 0.0979138i 0.914605 0.404348i \(-0.132501\pi\)
−0.864716 + 0.502262i \(0.832501\pi\)
\(488\) 19.2133 + 4.42382i 0.869744 + 0.200257i
\(489\) 3.78563 1.23002i 0.171192 0.0556236i
\(490\) 2.09090 + 15.1173i 0.0944570 + 0.682932i
\(491\) −12.7330 4.13721i −0.574634 0.186710i 0.00726141 0.999974i \(-0.497689\pi\)
−0.581895 + 0.813264i \(0.697689\pi\)
\(492\) 8.27543 7.54481i 0.373085 0.340146i
\(493\) 9.61465 9.61465i 0.433022 0.433022i
\(494\) 25.5868 + 8.97144i 1.15120 + 0.403644i
\(495\) −3.32360 10.1107i −0.149385 0.454443i
\(496\) −8.58487 + 1.93651i −0.385472 + 0.0869521i
\(497\) −18.3305 2.90327i −0.822237 0.130230i
\(498\) −8.66713 1.57854i −0.388383 0.0707359i
\(499\) 33.0488 1.47947 0.739734 0.672900i \(-0.234951\pi\)
0.739734 + 0.672900i \(0.234951\pi\)
\(500\) −12.4865 18.5496i −0.558413 0.829563i
\(501\) 20.2591 0.905108
\(502\) 25.0763 + 4.56713i 1.11921 + 0.203841i
\(503\) −14.8800 2.35677i −0.663468 0.105083i −0.184387 0.982854i \(-0.559030\pi\)
−0.479081 + 0.877771i \(0.659030\pi\)
\(504\) 0.288460 4.16035i 0.0128490 0.185317i
\(505\) 9.60859 + 29.2303i 0.427577 + 1.30073i
\(506\) 50.6800 + 17.7698i 2.25300 + 0.789966i
\(507\) −13.0096 + 13.0096i −0.577779 + 0.577779i
\(508\) 4.62415 + 5.07194i 0.205163 + 0.225031i
\(509\) −15.1212 4.91317i −0.670234 0.217772i −0.0459196 0.998945i \(-0.514622\pi\)
−0.624315 + 0.781173i \(0.714622\pi\)
\(510\) 0.726096 + 5.24973i 0.0321521 + 0.232462i
\(511\) −14.3031 + 4.64736i −0.632732 + 0.205587i
\(512\) −22.5985 1.14433i −0.998720 0.0505727i
\(513\) −1.55336 3.04864i −0.0685825 0.134601i
\(514\) 1.91735 1.32654i 0.0845706 0.0585113i
\(515\) −2.18690 13.5072i −0.0963663 0.595196i
\(516\) −1.83054 6.66579i −0.0805849 0.293445i
\(517\) −4.28016 27.0239i −0.188241 1.18851i
\(518\) 2.28635 + 1.23221i 0.100457 + 0.0541402i
\(519\) 6.18648 + 4.49474i 0.271556 + 0.197297i
\(520\) −8.71178 34.3517i −0.382037 1.50642i
\(521\) −18.9526 + 13.7698i −0.830327 + 0.603268i −0.919652 0.392735i \(-0.871529\pi\)
0.0893252 + 0.996003i \(0.471529\pi\)
\(522\) 11.3710 1.53296i 0.497697 0.0670959i
\(523\) 18.9802 37.2508i 0.829947 1.62886i 0.0535947 0.998563i \(-0.482932\pi\)
0.776352 0.630300i \(-0.217068\pi\)
\(524\) −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
\(528\) 16.0948 + 10.1701i 0.700435 + 0.442598i
\(529\) −23.8974 32.8920i −1.03902 1.43009i
\(530\) −0.270280 + 13.7595i −0.0117402 + 0.597675i
\(531\) −7.45712 + 10.2638i −0.323612 + 0.445413i
\(532\) 9.88213 + 2.03645i 0.428445 + 0.0882914i
\(533\) −30.9888 + 4.90814i −1.34227 + 0.212595i
\(534\) −0.0661673 + 2.86700i −0.00286334 + 0.124067i
\(535\) 24.6225 + 12.4394i 1.06452 + 0.537804i
\(536\) 7.92581 19.6504i 0.342343 0.848766i
\(537\) −14.8424 + 7.56258i −0.640497 + 0.326349i
\(538\) 24.0293 + 25.1647i 1.03598 + 1.08493i
\(539\) 7.09824 + 21.8461i 0.305743 + 0.940980i
\(540\) −2.19861 + 3.89437i −0.0946132 + 0.167587i
\(541\) 7.36951 22.6810i 0.316840 0.975133i −0.658150 0.752886i \(-0.728661\pi\)
0.974990 0.222247i \(-0.0713391\pi\)
\(542\) −1.20338 + 0.578576i −0.0516896 + 0.0248520i
\(543\) 12.5231 + 12.5231i 0.537419 + 0.537419i
\(544\) −6.97733 6.41833i −0.299150 0.275184i
\(545\) 0.107261 + 31.2323i 0.00459456 + 1.33784i
\(546\) −7.08401 + 9.29166i −0.303168 + 0.397646i
\(547\) −4.47666 + 28.2645i −0.191408 + 1.20850i 0.685582 + 0.727996i \(0.259548\pi\)
−0.876990 + 0.480509i \(0.840452\pi\)
\(548\) −22.5266 + 2.50917i −0.962289 + 0.107187i
\(549\) 6.97065i 0.297500i
\(550\) −23.4096 24.1810i −0.998190 1.03108i
\(551\) 27.7601i 1.18262i
\(552\) −8.82972 20.7675i −0.375818 0.883925i
\(553\) −2.13675 + 13.4909i −0.0908640 + 0.573693i
\(554\) −12.9780 9.89452i −0.551384 0.420378i
\(555\) −1.64484 2.24765i −0.0698194 0.0954074i
\(556\) 1.35103 29.2541i 0.0572964 1.24065i
\(557\) −19.6252 19.6252i −0.831547 0.831547i 0.156181 0.987728i \(-0.450082\pi\)
−0.987728 + 0.156181i \(0.950082\pi\)
\(558\) −1.34824 2.80420i −0.0570754 0.118711i
\(559\) −5.98475 + 18.4192i −0.253128 + 0.779048i
\(560\) −4.92067 12.2354i −0.207936 0.517039i
\(561\) 2.46497 + 7.58641i 0.104071 + 0.320298i
\(562\) −5.24041 + 5.00398i −0.221053 + 0.211080i
\(563\) −24.2640 + 12.3631i −1.02261 + 0.521044i −0.883104 0.469177i \(-0.844551\pi\)
−0.139503 + 0.990222i \(0.544551\pi\)
\(564\) −7.17959 + 8.97951i −0.302315 + 0.378105i
\(565\) 6.85420 6.90144i 0.288358 0.290346i
\(566\) −12.9793 0.299548i −0.545559 0.0125909i
\(567\) 1.45628 0.230653i 0.0611582 0.00968651i
\(568\) −35.4647 + 3.12379i −1.48806 + 0.131071i
\(569\) 20.7368 28.5418i 0.869333 1.19653i −0.109930 0.993939i \(-0.535063\pi\)
0.979263 0.202594i \(-0.0649373\pi\)
\(570\) −8.62693 6.53049i −0.361342 0.273532i
\(571\) 2.29350 + 3.15674i 0.0959802 + 0.132105i 0.854306 0.519770i \(-0.173982\pi\)
−0.758326 + 0.651876i \(0.773982\pi\)
\(572\) −21.9980 48.5938i −0.919781 2.03181i
\(573\) −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 \(0.978363\pi\)
\(578\) 2.68137 + 19.8896i 0.111530 + 0.827299i
\(579\) −9.28323 + 6.74466i −0.385798 + 0.280299i
\(580\) 30.2381 20.0541i 1.25557 0.832700i
\(581\) 7.43071 + 5.39873i 0.308278 + 0.223977i
\(582\) 2.28496 4.23972i 0.0947147 0.175742i
\(583\) 3.24039 + 20.4590i 0.134203 + 0.847326i
\(584\) −24.4570 + 15.3025i −1.01204 + 0.633220i
\(585\) 11.1444 5.72665i 0.460764 0.236768i
\(586\) −23.7348 34.3057i −0.980476 1.41715i
\(587\) 1.15344 + 2.26375i 0.0476076 + 0.0934351i 0.913585 0.406648i \(-0.133303\pi\)
−0.865977 + 0.500084i \(0.833303\pi\)
\(588\) 4.77403 8.38874i 0.196878 0.345946i
\(589\) 7.15949 2.32626i 0.295002 0.0958519i
\(590\) −7.05303 + 39.4944i −0.290369 + 1.62596i
\(591\) 2.07227 + 0.673322i 0.0852419 + 0.0276968i
\(592\) 4.82822 + 1.22965i 0.198439 + 0.0505385i
\(593\) 24.4019 24.4019i 1.00206 1.00206i 0.00206677 0.999998i \(-0.499342\pi\)
0.999998 0.00206677i \(-0.000657873\pi\)
\(594\) −2.22721 + 6.35206i −0.0913836 + 0.260628i
\(595\) 1.68938 5.26080i 0.0692580 0.215672i
\(596\) 5.11408 13.5740i 0.209481 0.556012i
\(597\) 9.57120 + 1.51593i 0.391723 + 0.0620429i
\(598\) −11.3288 + 62.2021i −0.463270 + 2.54363i
\(599\) −10.8060 −0.441521 −0.220761 0.975328i \(-0.570854\pi\)
−0.220761 + 0.975328i \(0.570854\pi\)
\(600\) −0.881276 + 14.1147i −0.0359780 + 0.576228i
\(601\) −18.5184 −0.755379 −0.377690 0.925932i \(-0.623281\pi\)
−0.377690 + 0.925932i \(0.623281\pi\)
\(602\) −1.29135 + 7.09031i −0.0526316 + 0.288979i
\(603\) 7.39906 + 1.17190i 0.301313 + 0.0477233i
\(604\) −6.26866 + 16.6385i −0.255068 + 0.677012i
\(605\) −21.1358 15.2454i −0.859293 0.619815i
\(606\) 6.43890 18.3639i 0.261563 0.745983i
\(607\) −31.2527 + 31.2527i −1.26851 + 1.26851i −0.321651 + 0.946858i \(0.604238\pi\)
−0.946858 + 0.321651i \(0.895762\pi\)
\(608\) 19.3385 0.806984i 0.784279 0.0327275i
\(609\) −11.3770 3.69662i −0.461021 0.149795i
\(610\) 9.61972 + 19.8333i 0.389491 + 0.803028i
\(611\) 30.6344 9.95373i 1.23934 0.402685i
\(612\) 1.65786 2.91312i 0.0670149 0.117756i
\(613\) −3.45059 6.77216i −0.139368 0.273525i 0.810764 0.585373i \(-0.199052\pi\)
−0.950132 + 0.311848i \(0.899052\pi\)
\(614\) 1.22013 + 1.76355i 0.0492406 + 0.0711711i
\(615\) 12.3728 + 1.91613i 0.498921 + 0.0772659i
\(616\) −10.5285 16.8271i −0.424207 0.677984i
\(617\) −5.40602 34.1323i −0.217638 1.37411i −0.818384 0.574672i \(-0.805130\pi\)
0.600746 0.799440i \(-0.294870\pi\)
\(618\) −4.10566 + 7.61799i −0.165154 + 0.306441i
\(619\) −11.1832 8.12509i −0.449492 0.326575i 0.339903 0.940460i \(-0.389606\pi\)
−0.789395 + 0.613885i \(0.789606\pi\)
\(620\) −7.70596 6.11806i −0.309479 0.245707i
\(621\) 6.45476 4.68966i 0.259020 0.188189i
\(622\) −0.0163949 0.121612i −0.000657375 0.00487621i
\(623\) 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
\(628\) 3.65646 + 8.07716i 0.145908 + 0.322314i
\(629\) 1.22700 + 1.68882i 0.0489237 + 0.0673376i
\(630\) 3.82520 2.66599i 0.152400 0.106215i
\(631\) −15.1133 + 20.8017i −0.601652 + 0.828103i −0.995858 0.0909189i \(-0.971020\pi\)
0.394206 + 0.919022i \(0.371020\pi\)
\(632\) 2.29905 + 26.1013i 0.0914513 + 1.03825i
\(633\) −24.3889 + 3.86282i −0.969372 + 0.153533i
\(634\) −45.0959 1.04077i −1.79099 0.0413341i
\(635\) −1.17438 + 7.58320i −0.0466038 + 0.300930i
\(636\) 5.43547 6.79813i 0.215530 0.269563i
\(637\) −24.0949 + 12.2770i −0.954675 + 0.486431i
\(638\) 39.4974 37.7154i 1.56372 1.49317i
\(639\) −3.88966 11.9711i −0.153872 0.473571i
\(640\) −14.8492 20.4817i −0.586968 0.809610i
\(641\) −3.11325 + 9.58161i −0.122966 + 0.378451i −0.993525 0.113613i \(-0.963757\pi\)
0.870559 + 0.492064i \(0.163757\pi\)
\(642\) −7.56005 15.7241i −0.298371 0.620582i
\(643\) −17.4447 17.4447i −0.687951 0.687951i 0.273828 0.961779i \(-0.411710\pi\)
−0.961779 + 0.273828i \(0.911710\pi\)
\(644\) −1.08541 + 23.5026i −0.0427711 + 0.926132i
\(645\) 4.52119 6.26805i 0.178022 0.246804i
\(646\) 6.44897 + 4.91673i 0.253731 + 0.193446i
\(647\) 4.48496 28.3169i 0.176322 1.11325i −0.727741 0.685852i \(-0.759430\pi\)
0.904063 0.427400i \(-0.140570\pi\)
\(648\) 2.60293 1.10669i 0.102253 0.0434748i
\(649\) 60.3852i 2.37033i
\(650\) 23.8058 31.6734i 0.933739 1.24233i
\(651\) 3.24397i 0.127141i
\(652\) −7.91195 + 0.881290i −0.309856 + 0.0345140i
\(653\) −0.257017 + 1.62274i −0.0100578 + 0.0635027i −0.992207 0.124602i \(-0.960235\pi\)
0.982149 + 0.188105i \(0.0602345\pi\)
\(654\) 11.9762 15.7085i 0.468308 0.614251i
\(655\) −15.7420 5.05517i −0.615089 0.197522i
\(656\) −19.2558 + 11.4386i −0.751814 + 0.446601i
\(657\) −7.21245 7.21245i −0.281384 0.281384i
\(658\) 10.8027 5.19388i 0.421134 0.202478i
\(659\) 6.95495 21.4051i 0.270926 0.833826i −0.719342 0.694656i \(-0.755557\pi\)
0.990269 0.139170i \(-0.0444434\pi\)
\(660\) 2.42905 + 21.1469i 0.0945505 + 0.823142i
\(661\) 12.2871 + 37.8159i 0.477914 + 1.47087i 0.841986 + 0.539499i \(0.181386\pi\)
−0.364072 + 0.931371i \(0.618614\pi\)
\(662\) 18.7738 + 19.6609i 0.729665 + 0.764141i
\(663\) −8.36733 + 4.26337i −0.324960 + 0.165575i
\(664\) 16.3403 + 6.59073i 0.634127 + 0.255770i
\(665\) 5.15583 + 10.0335i 0.199934 + 0.389084i
\(666\) −0.0406433 + 1.76106i −0.00157490 + 0.0682395i
\(667\) −63.9350 + 10.1263i −2.47557 + 0.392092i
\(668\) −39.6843 8.17791i −1.53543 0.316413i
\(669\) 11.6129 15.9838i 0.448980 0.617968i
\(670\) 22.6695 6.87658i 0.875799 0.265665i
\(671\) 19.5016 + 26.8416i 0.752851 + 1.03621i
\(672\) −2.24444 + 8.03302i −0.0865812 + 0.309880i
\(673\) 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 \(-0.190900\pi\)
\(678\) −6.09659 + 0.821898i −0.234138 + 0.0315648i
\(679\) −4.06236 + 2.95147i −0.155899 + 0.113267i
\(680\) 0.696836 10.5765i 0.0267224 0.405590i
\(681\) 0.133907 + 0.0972891i 0.00513132 + 0.00372812i
\(682\) −13.0368 7.02609i −0.499206 0.269043i
\(683\) −3.21000 20.2671i −0.122827 0.775500i −0.969807 0.243875i \(-0.921581\pi\)
0.846980 0.531626i \(-0.178419\pi\)
\(684\) 1.81215 + 6.59884i 0.0692892 + 0.252313i
\(685\) −17.9804 17.8573i −0.686996 0.682294i
\(686\) −20.2789 + 14.0302i −0.774252 + 0.535676i
\(687\) 3.40358 + 6.67991i 0.129855 + 0.254854i
\(688\) 0.894969 + 13.7961i 0.0341204 + 0.525973i
\(689\) −23.1925 + 7.53569i −0.883563 + 0.287087i
\(690\) 11.8936 22.2511i 0.452782 0.847084i
\(691\) 19.2612 + 6.25835i 0.732731 + 0.238079i 0.651534 0.758619i \(-0.274126\pi\)
0.0811970 + 0.996698i \(0.474126\pi\)
\(692\) −10.3039 11.3017i −0.391697 0.429628i
\(693\) 4.96237 4.96237i 0.188505 0.188505i
\(694\) 4.64576 + 1.62893i 0.176351 + 0.0618335i
\(695\) 26.4225 19.3361i 1.00226 0.733460i
\(696\) −22.8929 1.58729i −0.867752 0.0601659i
\(697\) −9.26836 1.46796i −0.351064 0.0556031i
\(698\) −1.47890 0.269351i −0.0559772 0.0101951i
\(699\) 10.6764 0.403818
\(700\) 7.20456 12.8643i 0.272307 0.486226i
\(701\) 13.8933 0.524741 0.262370 0.964967i \(-0.415496\pi\)
0.262370 + 0.964967i \(0.415496\pi\)
\(702\) −7.79620 1.41991i −0.294248 0.0535912i
\(703\) −4.20939 0.666701i −0.158760 0.0251451i
\(704\) −27.4218 26.4186i −1.03350 0.995687i
\(705\) −12.8538 + 0.0441439i −0.484103 + 0.00166255i
\(706\) −27.4635 9.62948i −1.03360 0.362410i
\(707\) −14.3463 + 14.3463i −0.539548 + 0.539548i
\(708\) 18.7505 17.0950i 0.704686 0.642471i
\(709\) 15.5492 + 5.05225i 0.583964 + 0.189741i 0.586076 0.810256i \(-0.300672\pi\)
−0.00211169 + 0.999998i \(0.500672\pi\)
\(710\) −27.5876 28.6932i −1.03535 1.07684i
\(711\) −8.81053 + 2.86271i −0.330421 + 0.107360i
\(712\) 1.28692 5.58928i 0.0482294 0.209467i
\(713\) 7.96929 + 15.6406i 0.298452 + 0.585746i
\(714\) −2.87380 + 1.98828i −0.107549 + 0.0744094i
\(715\) 26.8921 53.2298i 1.00571 1.99068i
\(716\) 32.1266 8.82250i 1.20063 0.329712i
\(717\) −3.47793 21.9588i −0.129886 0.820065i
\(718\) 20.4860 + 11.0408i 0.764531 + 0.412038i
\(719\) −6.10365 4.43456i −0.227628 0.165381i 0.468126 0.883662i \(-0.344929\pi\)
−0.695753 + 0.718281i \(0.744929\pi\)
\(720\) 5.87875 6.74094i 0.219088 0.251220i
\(721\) 7.29931 5.30326i 0.271840 0.197504i
\(722\) 10.2212 1.37795i 0.380394 0.0512820i
\(723\) 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 −0.582913 0.812535i \(-0.698087\pi\)
−0.999982 + 0.00600972i \(0.998087\pi\)
\(728\) 17.6272 15.3413i 0.653307 0.568586i
\(729\) 0.587785 + 0.809017i 0.0217698 + 0.0299636i
\(730\) −30.4747 10.5679i −1.12792 0.391135i
\(731\) −3.40471 + 4.68618i −0.125928 + 0.173325i
\(732\) 2.81382 13.6544i 0.104002 0.504681i
\(733\) 12.5781 1.99218i 0.464584 0.0735829i 0.0802457 0.996775i \(-0.474430\pi\)
0.384339 + 0.923192i \(0.374430\pi\)
\(734\) −0.620596 + 26.8901i −0.0229066 + 0.992531i
\(735\) 10.6526 1.72473i 0.392928 0.0636177i
\(736\) 8.91285 + 44.2445i 0.328532 + 1.63087i
\(737\) 31.7699 16.1876i 1.17026 0.596276i
\(738\) −5.46858 5.72696i −0.201301 0.210812i
\(739\) 7.24911 + 22.3105i 0.266663 + 0.820704i 0.991306 + 0.131579i \(0.0420048\pi\)
−0.724643 + 0.689125i \(0.757995\pi\)
\(740\) 2.31467 + 5.06675i 0.0850890 + 0.186258i
\(741\) 5.92463 18.2341i 0.217647 0.669848i
\(742\) −8.17844 + 3.93214i −0.300240 + 0.144353i
\(743\) 31.2758 + 31.2758i 1.14740 + 1.14740i 0.987062 + 0.160337i \(0.0512581\pi\)
0.160337 + 0.987062i \(0.448742\pi\)
\(744\) 1.50902 + 6.03721i 0.0553233 + 0.221335i
\(745\) 15.4065 5.06444i 0.564450 0.185547i
\(746\) −0.501939 + 0.658362i −0.0183773 + 0.0241043i
\(747\) −0.974493 + 6.15271i −0.0356548 + 0.225116i
\(748\) −1.76611 15.8556i −0.0645753 0.579738i
\(749\) 18.1901i 0.664652i
\(750\) −12.9093 + 9.12957i −0.471382 + 0.333365i
\(751\) 25.1683i 0.918404i −0.888332 0.459202i \(-0.848135\pi\)
0.888332 0.459202i \(-0.151865\pi\)
\(752\) 17.6884 14.6913i 0.645029 0.535735i
\(753\) 2.81947 17.8014i 0.102747 0.648721i
\(754\) 51.1285 + 38.9807i 1.86199 + 1.41959i
\(755\) −18.8847 + 6.20781i −0.687286 + 0.225925i
\(756\) −2.94574 0.136042i −0.107135 0.00494778i
\(757\) 19.3441 + 19.3441i 0.703072 + 0.703072i 0.965069 0.261997i \(-0.0843809\pi\)
−0.261997 + 0.965069i \(0.584381\pi\)
\(758\) 3.04711 + 6.33769i 0.110676 + 0.230195i
\(759\) 11.7350 36.1166i 0.425953 1.31095i
\(760\) 14.2626 + 16.2746i 0.517360 + 0.590342i
\(761\) −8.59037 26.4384i −0.311401 0.958392i −0.977211 0.212271i \(-0.931914\pi\)
0.665810 0.746121i \(-0.268086\pi\)
\(762\) 3.51000 3.35164i 0.127154 0.121417i
\(763\) −18.3497 + 9.34964i −0.664304 + 0.338480i
\(764\) 15.0309 + 12.0180i 0.543798 + 0.434795i
\(765\) 3.69929 0.598940i 0.133748 0.0216547i
\(766\) 26.1851 + 0.604326i 0.946107 + 0.0218352i
\(767\) −70.2144 + 11.1209i −2.53530 + 0.401551i
\(768\) −0.440254 + 15.9939i −0.0158863 + 0.577132i
\(769\) −13.5028 + 18.5850i −0.486923 + 0.670192i −0.979817 0.199897i \(-0.935939\pi\)
0.492894 + 0.870090i \(0.335939\pi\)
\(770\) 7.27102 20.9675i 0.262029 0.755616i
\(771\) −0.969038 1.33377i −0.0348991 0.0480344i
\(772\) 20.9070 9.46438i 0.752458 0.340631i
\(773\) 17.5103 + 8.92192i 0.629800 + 0.320899i 0.739592 0.673055i \(-0.235018\pi\)
−0.109792