Properties

Label 300.2.r.a.119.11
Level $300$
Weight $2$
Character 300.119
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 119.11
Character \(\chi\) \(=\) 300.119
Dual form 300.2.r.a.179.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.18000 - 0.779489i) q^{2} +(-0.159293 + 1.72471i) q^{3} +(0.784793 + 1.83959i) q^{4} +(-1.58649 + 1.57577i) q^{5} +(1.53236 - 1.91099i) q^{6} +1.93298 q^{7} +(0.507888 - 2.78245i) q^{8} +(-2.94925 - 0.549470i) q^{9} +O(q^{10})\) \(q+(-1.18000 - 0.779489i) q^{2} +(-0.159293 + 1.72471i) q^{3} +(0.784793 + 1.83959i) q^{4} +(-1.58649 + 1.57577i) q^{5} +(1.53236 - 1.91099i) q^{6} +1.93298 q^{7} +(0.507888 - 2.78245i) q^{8} +(-2.94925 - 0.549470i) q^{9} +(3.10035 - 0.622750i) q^{10} +(1.02143 + 3.14363i) q^{11} +(-3.29778 + 1.06051i) q^{12} +(1.21599 + 0.395100i) q^{13} +(-2.28091 - 1.50674i) q^{14} +(-2.46503 - 2.98725i) q^{15} +(-2.76820 + 2.88740i) q^{16} +(-5.16661 - 3.75376i) q^{17} +(3.05181 + 2.94728i) q^{18} +(-3.96432 + 5.45642i) q^{19} +(-4.14384 - 1.68185i) q^{20} +(-0.307911 + 3.33383i) q^{21} +(1.24515 - 4.50568i) q^{22} +(-5.88444 + 1.91197i) q^{23} +(4.71802 + 1.31919i) q^{24} +(0.0339120 - 4.99988i) q^{25} +(-1.12689 - 1.41407i) q^{26} +(1.41747 - 4.99908i) q^{27} +(1.51699 + 3.55589i) q^{28} +(3.10775 + 4.27745i) q^{29} +(0.580198 + 5.44641i) q^{30} +(-0.595008 + 0.818958i) q^{31} +(5.51717 - 1.24934i) q^{32} +(-5.58457 + 1.26091i) q^{33} +(3.17057 + 8.45675i) q^{34} +(-3.06666 + 3.04593i) q^{35} +(-1.30375 - 5.85664i) q^{36} +(-6.78451 - 2.20442i) q^{37} +(8.93111 - 3.34842i) q^{38} +(-0.875133 + 2.03430i) q^{39} +(3.57874 + 5.21465i) q^{40} +(9.94788 + 3.23226i) q^{41} +(2.96202 - 3.69390i) q^{42} +4.18153 q^{43} +(-4.98140 + 4.34612i) q^{44} +(5.54480 - 3.77560i) q^{45} +(8.43400 + 2.33074i) q^{46} +(5.17301 + 7.12003i) q^{47} +(-4.53897 - 5.23429i) q^{48} -3.26359 q^{49} +(-3.93737 + 5.87342i) q^{50} +(7.29715 - 8.31295i) q^{51} +(0.227480 + 2.54700i) q^{52} +(2.18646 - 1.58856i) q^{53} +(-5.56934 + 4.79400i) q^{54} +(-6.57413 - 3.37782i) q^{55} +(0.981737 - 5.37843i) q^{56} +(-8.77925 - 7.70647i) q^{57} +(-0.332913 - 7.46984i) q^{58} +(1.81330 - 5.58076i) q^{59} +(3.56078 - 6.87901i) q^{60} +(-0.165166 - 0.508329i) q^{61} +(1.34048 - 0.502567i) q^{62} +(-5.70084 - 1.06211i) q^{63} +(-7.48410 - 2.82635i) q^{64} +(-2.55175 + 1.28930i) q^{65} +(7.57264 + 2.86524i) q^{66} +(4.39453 + 3.19282i) q^{67} +(2.85067 - 12.4504i) q^{68} +(-2.36024 - 10.4535i) q^{69} +(5.99292 - 1.20376i) q^{70} +(-5.19558 + 3.77481i) q^{71} +(-3.02676 + 7.92709i) q^{72} +(1.50433 - 0.488787i) q^{73} +(6.28739 + 7.88966i) q^{74} +(8.61795 + 0.854937i) q^{75} +(-13.1488 - 3.01057i) q^{76} +(1.97440 + 6.07658i) q^{77} +(2.61837 - 1.71831i) q^{78} +(2.41306 + 3.32129i) q^{79} +(-0.158143 - 8.94287i) q^{80} +(8.39617 + 3.24105i) q^{81} +(-9.21897 - 11.5683i) q^{82} +(3.93098 - 5.41052i) q^{83} +(-6.37453 + 2.04994i) q^{84} +(14.1118 - 2.18606i) q^{85} +(-4.93420 - 3.25946i) q^{86} +(-7.87240 + 4.67860i) q^{87} +(9.26579 - 1.24546i) q^{88} +(7.71830 - 2.50783i) q^{89} +(-9.48590 + 0.133096i) q^{90} +(2.35049 + 0.763721i) q^{91} +(-8.13532 - 9.32448i) q^{92} +(-1.31768 - 1.15667i) q^{93} +(-0.554151 - 12.4339i) q^{94} +(-2.30869 - 14.9034i) q^{95} +(1.27591 + 9.71453i) q^{96} +(8.95211 + 12.3215i) q^{97} +(3.85103 + 2.54393i) q^{98} +(-1.28512 - 9.83261i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} - 5q^{12} - 20q^{13} + 6q^{16} - 24q^{21} - 10q^{22} - 28q^{24} - 20q^{25} - 50q^{28} - 25q^{30} - 10q^{33} - 14q^{34} - 25q^{36} - 60q^{37} - 20q^{40} - 85q^{42} - 30q^{45} + 6q^{46} - 70q^{48} + 88q^{49} + 40q^{52} - 46q^{54} + 50q^{58} + 10q^{60} - 28q^{61} + 18q^{64} + 64q^{66} - 42q^{69} - 40q^{70} - 5q^{72} - 20q^{73} - 80q^{76} - 85q^{78} + 18q^{81} - 48q^{84} - 20q^{85} + 50q^{88} - 60q^{90} + 60q^{94} + 44q^{96} - 120q^{97} + O(q^{100}) \)

Character values

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

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{9}{10}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.18000 0.779489i −0.834385 0.551182i
\(3\) −0.159293 + 1.72471i −0.0919681 + 0.995762i
\(4\) 0.784793 + 1.83959i 0.392396 + 0.919796i
\(5\) −1.58649 + 1.57577i −0.709501 + 0.704705i
\(6\) 1.53236 1.91099i 0.625583 0.780158i
\(7\) 1.93298 0.730598 0.365299 0.930890i \(-0.380967\pi\)
0.365299 + 0.930890i \(0.380967\pi\)
\(8\) 0.507888 2.78245i 0.179566 0.983746i
\(9\) −2.94925 0.549470i −0.983084 0.183157i
\(10\) 3.10035 0.622750i 0.980417 0.196931i
\(11\) 1.02143 + 3.14363i 0.307972 + 0.947842i 0.978551 + 0.206003i \(0.0660458\pi\)
−0.670579 + 0.741838i \(0.733954\pi\)
\(12\) −3.29778 + 1.06051i −0.951986 + 0.306142i
\(13\) 1.21599 + 0.395100i 0.337256 + 0.109581i 0.472749 0.881197i \(-0.343262\pi\)
−0.135493 + 0.990778i \(0.543262\pi\)
\(14\) −2.28091 1.50674i −0.609600 0.402692i
\(15\) −2.46503 2.98725i −0.636467 0.771304i
\(16\) −2.76820 + 2.88740i −0.692050 + 0.721850i
\(17\) −5.16661 3.75376i −1.25309 0.910420i −0.254689 0.967023i \(-0.581973\pi\)
−0.998397 + 0.0566024i \(0.981973\pi\)
\(18\) 3.05181 + 2.94728i 0.719318 + 0.694681i
\(19\) −3.96432 + 5.45642i −0.909477 + 1.25179i 0.0578676 + 0.998324i \(0.481570\pi\)
−0.967345 + 0.253464i \(0.918430\pi\)
\(20\) −4.14384 1.68185i −0.926590 0.376072i
\(21\) −0.307911 + 3.33383i −0.0671917 + 0.727501i
\(22\) 1.24515 4.50568i 0.265466 0.960614i
\(23\) −5.88444 + 1.91197i −1.22699 + 0.398674i −0.849623 0.527390i \(-0.823171\pi\)
−0.377368 + 0.926063i \(0.623171\pi\)
\(24\) 4.71802 + 1.31919i 0.963063 + 0.269278i
\(25\) 0.0339120 4.99988i 0.00678240 0.999977i
\(26\) −1.12689 1.41407i −0.221002 0.277322i
\(27\) 1.41747 4.99908i 0.272793 0.962073i
\(28\) 1.51699 + 3.55589i 0.286684 + 0.672001i
\(29\) 3.10775 + 4.27745i 0.577094 + 0.794302i 0.993373 0.114935i \(-0.0366659\pi\)
−0.416279 + 0.909237i \(0.636666\pi\)
\(30\) 0.580198 + 5.44641i 0.105929 + 0.994374i
\(31\) −0.595008 + 0.818958i −0.106867 + 0.147089i −0.859100 0.511807i \(-0.828976\pi\)
0.752234 + 0.658896i \(0.228976\pi\)
\(32\) 5.51717 1.24934i 0.975307 0.220855i
\(33\) −5.58457 + 1.26091i −0.972148 + 0.219496i
\(34\) 3.17057 + 8.45675i 0.543749 + 1.45032i
\(35\) −3.06666 + 3.04593i −0.518360 + 0.514856i
\(36\) −1.30375 5.85664i −0.217292 0.976107i
\(37\) −6.78451 2.20442i −1.11537 0.362404i −0.307369 0.951590i \(-0.599449\pi\)
−0.807997 + 0.589186i \(0.799449\pi\)
\(38\) 8.93111 3.34842i 1.44882 0.543185i
\(39\) −0.875133 + 2.03430i −0.140133 + 0.325749i
\(40\) 3.57874 + 5.21465i 0.565849 + 0.824509i
\(41\) 9.94788 + 3.23226i 1.55360 + 0.504794i 0.955088 0.296322i \(-0.0957601\pi\)
0.598509 + 0.801116i \(0.295760\pi\)
\(42\) 2.96202 3.69390i 0.457050 0.569981i
\(43\) 4.18153 0.637677 0.318839 0.947809i \(-0.396707\pi\)
0.318839 + 0.947809i \(0.396707\pi\)
\(44\) −4.98140 + 4.34612i −0.750974 + 0.655202i
\(45\) 5.54480 3.77560i 0.826570 0.562834i
\(46\) 8.43400 + 2.33074i 1.24352 + 0.343648i
\(47\) 5.17301 + 7.12003i 0.754561 + 1.03856i 0.997647 + 0.0685590i \(0.0218401\pi\)
−0.243086 + 0.970005i \(0.578160\pi\)
\(48\) −4.53897 5.23429i −0.655144 0.755504i
\(49\) −3.26359 −0.466227
\(50\) −3.93737 + 5.87342i −0.556829 + 0.830627i
\(51\) 7.29715 8.31295i 1.02181 1.16405i
\(52\) 0.227480 + 2.54700i 0.0315458 + 0.353206i
\(53\) 2.18646 1.58856i 0.300334 0.218205i −0.427404 0.904061i \(-0.640572\pi\)
0.727738 + 0.685855i \(0.240572\pi\)
\(54\) −5.56934 + 4.79400i −0.757892 + 0.652380i
\(55\) −6.57413 3.37782i −0.886455 0.455465i
\(56\) 0.981737 5.37843i 0.131190 0.718723i
\(57\) −8.77925 7.70647i −1.16284 1.02075i
\(58\) −0.332913 7.46984i −0.0437136 0.980838i
\(59\) 1.81330 5.58076i 0.236071 0.726553i −0.760906 0.648862i \(-0.775245\pi\)
0.996977 0.0776912i \(-0.0247548\pi\)
\(60\) 3.56078 6.87901i 0.459695 0.888077i
\(61\) −0.165166 0.508329i −0.0211473 0.0650848i 0.939926 0.341378i \(-0.110894\pi\)
−0.961073 + 0.276294i \(0.910894\pi\)
\(62\) 1.34048 0.502567i 0.170241 0.0638261i
\(63\) −5.70084 1.06211i −0.718239 0.133814i
\(64\) −7.48410 2.82635i −0.935512 0.353294i
\(65\) −2.55175 + 1.28930i −0.316506 + 0.159918i
\(66\) 7.57264 + 2.86524i 0.932128 + 0.352687i
\(67\) 4.39453 + 3.19282i 0.536878 + 0.390065i 0.822924 0.568151i \(-0.192341\pi\)
−0.286046 + 0.958216i \(0.592341\pi\)
\(68\) 2.85067 12.4504i 0.345695 1.50983i
\(69\) −2.36024 10.4535i −0.284140 1.25846i
\(70\) 5.99292 1.20376i 0.716291 0.143877i
\(71\) −5.19558 + 3.77481i −0.616602 + 0.447987i −0.851733 0.523976i \(-0.824448\pi\)
0.235131 + 0.971964i \(0.424448\pi\)
\(72\) −3.02676 + 7.92709i −0.356708 + 0.934216i
\(73\) 1.50433 0.488787i 0.176069 0.0572082i −0.219656 0.975577i \(-0.570493\pi\)
0.395725 + 0.918369i \(0.370493\pi\)
\(74\) 6.28739 + 7.88966i 0.730894 + 0.917155i
\(75\) 8.61795 + 0.854937i 0.995115 + 0.0987197i
\(76\) −13.1488 3.01057i −1.50827 0.345336i
\(77\) 1.97440 + 6.07658i 0.225004 + 0.692491i
\(78\) 2.61837 1.71831i 0.296472 0.194561i
\(79\) 2.41306 + 3.32129i 0.271490 + 0.373674i 0.922892 0.385059i \(-0.125819\pi\)
−0.651402 + 0.758733i \(0.725819\pi\)
\(80\) −0.158143 8.94287i −0.0176809 0.999844i
\(81\) 8.39617 + 3.24105i 0.932907 + 0.360117i
\(82\) −9.21897 11.5683i −1.01806 1.27751i
\(83\) 3.93098 5.41052i 0.431481 0.593882i −0.536812 0.843702i \(-0.680371\pi\)
0.968292 + 0.249820i \(0.0803714\pi\)
\(84\) −6.37453 + 2.04994i −0.695519 + 0.223666i
\(85\) 14.1118 2.18606i 1.53064 0.237112i
\(86\) −4.93420 3.25946i −0.532068 0.351476i
\(87\) −7.87240 + 4.67860i −0.844010 + 0.501598i
\(88\) 9.26579 1.24546i 0.987737 0.132767i
\(89\) 7.71830 2.50783i 0.818138 0.265829i 0.130097 0.991501i \(-0.458471\pi\)
0.688041 + 0.725672i \(0.258471\pi\)
\(90\) −9.48590 + 0.133096i −0.999902 + 0.0140296i
\(91\) 2.35049 + 0.763721i 0.246398 + 0.0800597i
\(92\) −8.13532 9.32448i −0.848166 0.972144i
\(93\) −1.31768 1.15667i −0.136637 0.119941i
\(94\) −0.554151 12.4339i −0.0571563 1.28246i
\(95\) −2.30869 14.9034i −0.236866 1.52906i
\(96\) 1.27591 + 9.71453i 0.130222 + 0.991485i
\(97\) 8.95211 + 12.3215i 0.908949 + 1.25106i 0.967524 + 0.252778i \(0.0813442\pi\)
−0.0585753 + 0.998283i \(0.518656\pi\)
\(98\) 3.85103 + 2.54393i 0.389013 + 0.256976i
\(99\) −1.28512 9.83261i −0.129159 0.988215i
\(100\) 9.22436 3.86149i 0.922436 0.386149i
\(101\) 8.17711i 0.813653i 0.913505 + 0.406826i \(0.133365\pi\)
−0.913505 + 0.406826i \(0.866635\pi\)
\(102\) −15.0905 + 4.12122i −1.49418 + 0.408061i
\(103\) −4.12352 + 2.99591i −0.406303 + 0.295196i −0.772103 0.635497i \(-0.780795\pi\)
0.365801 + 0.930693i \(0.380795\pi\)
\(104\) 1.71694 3.18278i 0.168359 0.312097i
\(105\) −4.76484 5.77429i −0.465001 0.563513i
\(106\) −3.81829 + 0.170172i −0.370865 + 0.0165286i
\(107\) 9.90582i 0.957631i 0.877915 + 0.478816i \(0.158934\pi\)
−0.877915 + 0.478816i \(0.841066\pi\)
\(108\) 10.3087 1.31567i 0.991954 0.126600i
\(109\) −0.636326 + 1.95841i −0.0609489 + 0.187582i −0.976895 0.213720i \(-0.931442\pi\)
0.915946 + 0.401301i \(0.131442\pi\)
\(110\) 5.12449 + 9.11028i 0.488601 + 0.868631i
\(111\) 4.88271 11.3502i 0.463447 1.07731i
\(112\) −5.35087 + 5.58128i −0.505610 + 0.527382i
\(113\) 3.48022 10.7110i 0.327391 1.00761i −0.642959 0.765901i \(-0.722293\pi\)
0.970350 0.241705i \(-0.0777067\pi\)
\(114\) 4.35239 + 15.9370i 0.407638 + 1.49263i
\(115\) 6.32280 12.3058i 0.589604 1.14753i
\(116\) −5.42982 + 9.07390i −0.504146 + 0.842491i
\(117\) −3.36917 1.83340i −0.311480 0.169498i
\(118\) −6.48983 + 5.17184i −0.597438 + 0.476107i
\(119\) −9.98695 7.25594i −0.915502 0.665151i
\(120\) −9.56384 + 5.34163i −0.873055 + 0.487622i
\(121\) 0.0600639 0.0436390i 0.00546035 0.00396718i
\(122\) −0.201341 + 0.728572i −0.0182286 + 0.0659618i
\(123\) −7.15934 + 16.6423i −0.645536 + 1.50059i
\(124\) −1.97351 0.451859i −0.177226 0.0405782i
\(125\) 7.82486 + 7.98571i 0.699876 + 0.714264i
\(126\) 5.89908 + 5.69704i 0.525532 + 0.507533i
\(127\) 1.45647 + 4.48255i 0.129241 + 0.397762i 0.994650 0.103304i \(-0.0329414\pi\)
−0.865409 + 0.501066i \(0.832941\pi\)
\(128\) 6.62812 + 9.16886i 0.585848 + 0.810421i
\(129\) −0.666090 + 7.21192i −0.0586460 + 0.634975i
\(130\) 4.01606 + 0.467689i 0.352231 + 0.0410191i
\(131\) 10.5815 + 7.68792i 0.924512 + 0.671697i 0.944643 0.328100i \(-0.106408\pi\)
−0.0201312 + 0.999797i \(0.506408\pi\)
\(132\) −6.70229 9.28377i −0.583359 0.808049i
\(133\) −7.66295 + 10.5471i −0.664462 + 0.914553i
\(134\) −2.69678 7.19301i −0.232966 0.621381i
\(135\) 5.62857 + 10.1646i 0.484431 + 0.874830i
\(136\) −13.0687 + 12.4694i −1.12063 + 1.06924i
\(137\) −0.341486 + 1.05099i −0.0291751 + 0.0897919i −0.964584 0.263777i \(-0.915032\pi\)
0.935409 + 0.353568i \(0.115032\pi\)
\(138\) −5.36333 + 14.1749i −0.456557 + 1.20665i
\(139\) −4.65243 + 1.51167i −0.394614 + 0.128218i −0.499601 0.866256i \(-0.666520\pi\)
0.104987 + 0.994474i \(0.466520\pi\)
\(140\) −8.00995 3.25098i −0.676965 0.274758i
\(141\) −13.1040 + 7.78776i −1.10356 + 0.655848i
\(142\) 9.07320 0.404371i 0.761406 0.0339341i
\(143\) 4.22621i 0.353413i
\(144\) 9.75066 6.99462i 0.812555 0.582885i
\(145\) −11.6707 1.88905i −0.969197 0.156877i
\(146\) −2.15611 0.595843i −0.178441 0.0493123i
\(147\) 0.519868 5.62875i 0.0428780 0.464251i
\(148\) −1.26920 14.2107i −0.104328 1.16812i
\(149\) 0.741785i 0.0607694i 0.999538 + 0.0303847i \(0.00967324\pi\)
−0.999538 + 0.0303847i \(0.990327\pi\)
\(150\) −9.50275 7.72643i −0.775897 0.630860i
\(151\) 1.61386i 0.131334i 0.997842 + 0.0656668i \(0.0209175\pi\)
−0.997842 + 0.0656668i \(0.979083\pi\)
\(152\) 13.1688 + 13.8018i 1.06813 + 1.11947i
\(153\) 13.1750 + 13.9097i 1.06514 + 1.12453i
\(154\) 2.40684 8.70938i 0.193949 0.701822i
\(155\) −0.346513 2.23686i −0.0278326 0.179669i
\(156\) −4.42908 0.0133844i −0.354610 0.00107161i
\(157\) 12.7415i 1.01688i 0.861097 + 0.508441i \(0.169778\pi\)
−0.861097 + 0.508441i \(0.830222\pi\)
\(158\) −0.258495 5.80007i −0.0205648 0.461429i
\(159\) 2.39152 + 4.02407i 0.189660 + 0.319129i
\(160\) −6.78427 + 10.6758i −0.536343 + 0.844000i
\(161\) −11.3745 + 3.69580i −0.896437 + 0.291270i
\(162\) −7.38110 10.3692i −0.579914 0.814678i
\(163\) 5.75139 17.7010i 0.450484 1.38645i −0.425872 0.904783i \(-0.640033\pi\)
0.876356 0.481664i \(-0.159967\pi\)
\(164\) 1.86098 + 20.8367i 0.145318 + 1.62707i
\(165\) 6.87297 10.8004i 0.535060 0.840810i
\(166\) −8.85599 + 3.32026i −0.687358 + 0.257702i
\(167\) −2.07660 + 2.85819i −0.160692 + 0.221174i −0.881769 0.471681i \(-0.843647\pi\)
0.721077 + 0.692855i \(0.243647\pi\)
\(168\) 9.11984 + 2.54996i 0.703611 + 0.196734i
\(169\) −9.19469 6.68033i −0.707284 0.513872i
\(170\) −18.3560 8.42047i −1.40784 0.645821i
\(171\) 14.6899 13.9141i 1.12337 1.06404i
\(172\) 3.28163 + 7.69231i 0.250222 + 0.586533i
\(173\) −0.239901 0.738341i −0.0182394 0.0561350i 0.941523 0.336950i \(-0.109395\pi\)
−0.959762 + 0.280815i \(0.909395\pi\)
\(174\) 12.9363 + 0.615718i 0.980701 + 0.0466775i
\(175\) 0.0655512 9.66468i 0.00495521 0.730581i
\(176\) −11.9044 5.75294i −0.897331 0.433644i
\(177\) 9.33635 + 4.01640i 0.701763 + 0.301891i
\(178\) −11.0624 3.05710i −0.829162 0.229139i
\(179\) −1.41564 + 1.02852i −0.105810 + 0.0768753i −0.639432 0.768848i \(-0.720830\pi\)
0.533622 + 0.845723i \(0.320830\pi\)
\(180\) 11.2971 + 7.23710i 0.842036 + 0.539422i
\(181\) 16.9967 + 12.3488i 1.26335 + 0.917881i 0.998917 0.0465217i \(-0.0148137\pi\)
0.264438 + 0.964403i \(0.414814\pi\)
\(182\) −2.17826 2.73337i −0.161464 0.202611i
\(183\) 0.903030 0.203890i 0.0667539 0.0150720i
\(184\) 2.33134 + 17.3443i 0.171868 + 1.27864i
\(185\) 14.2372 7.19351i 1.04674 0.528878i
\(186\) 0.653253 + 2.39199i 0.0478988 + 0.175389i
\(187\) 6.52313 20.0761i 0.477018 1.46811i
\(188\) −9.03822 + 15.1040i −0.659180 + 1.10157i
\(189\) 2.73995 9.66311i 0.199302 0.702888i
\(190\) −8.89280 + 19.3856i −0.645152 + 1.40638i
\(191\) 2.00570 6.17292i 0.145128 0.446657i −0.851900 0.523705i \(-0.824549\pi\)
0.997027 + 0.0770480i \(0.0245495\pi\)
\(192\) 6.06680 12.4577i 0.437834 0.899056i
\(193\) 24.1965i 1.74170i −0.491548 0.870851i \(-0.663569\pi\)
0.491548 0.870851i \(-0.336431\pi\)
\(194\) −0.958982 21.5175i −0.0688509 1.54486i
\(195\) −1.81719 4.60640i −0.130132 0.329872i
\(196\) −2.56124 6.00367i −0.182946 0.428834i
\(197\) −8.70532 + 6.32478i −0.620228 + 0.450622i −0.853001 0.521909i \(-0.825220\pi\)
0.232773 + 0.972531i \(0.425220\pi\)
\(198\) −6.14798 + 12.6042i −0.436918 + 0.895742i
\(199\) 13.7122i 0.972029i 0.873951 + 0.486015i \(0.161550\pi\)
−0.873951 + 0.486015i \(0.838450\pi\)
\(200\) −13.8947 2.63374i −0.982506 0.186234i
\(201\) −6.20670 + 7.07070i −0.437787 + 0.498729i
\(202\) 6.37397 9.64898i 0.448471 0.678900i
\(203\) 6.00721 + 8.26822i 0.421624 + 0.580315i
\(204\) 21.0192 + 6.89984i 1.47164 + 0.483086i
\(205\) −20.8755 + 10.5476i −1.45801 + 0.736675i
\(206\) 7.20103 0.320933i 0.501720 0.0223605i
\(207\) 18.4053 2.40556i 1.27925 0.167198i
\(208\) −4.50692 + 2.41734i −0.312499 + 0.167612i
\(209\) −21.2023 6.88903i −1.46659 0.476524i
\(210\) 1.12151 + 10.5278i 0.0773916 + 0.726487i
\(211\) 7.05533 2.29242i 0.485709 0.157816i −0.0559179 0.998435i \(-0.517809\pi\)
0.541627 + 0.840619i \(0.317809\pi\)
\(212\) 4.63822 + 2.77551i 0.318555 + 0.190623i
\(213\) −5.68283 9.56217i −0.389381 0.655189i
\(214\) 7.72148 11.6888i 0.527829 0.799033i
\(215\) −6.63396 + 6.58912i −0.452432 + 0.449374i
\(216\) −13.1898 6.48303i −0.897451 0.441114i
\(217\) −1.15014 + 1.58303i −0.0780764 + 0.107463i
\(218\) 2.27742 1.81491i 0.154246 0.122921i
\(219\) 0.603386 + 2.67240i 0.0407731 + 0.180584i
\(220\) 1.05448 14.7446i 0.0710928 0.994081i
\(221\) −4.79945 6.60587i −0.322846 0.444359i
\(222\) −14.6089 + 9.58715i −0.980487 + 0.643447i
\(223\) 4.93453 + 15.1869i 0.330441 + 1.01699i 0.968924 + 0.247357i \(0.0795619\pi\)
−0.638484 + 0.769635i \(0.720438\pi\)
\(224\) 10.6646 2.41496i 0.712557 0.161356i
\(225\) −2.84730 + 14.7273i −0.189820 + 0.981819i
\(226\) −12.4558 + 9.92618i −0.828545 + 0.660279i
\(227\) −10.1355 + 3.29321i −0.672713 + 0.218578i −0.625402 0.780302i \(-0.715065\pi\)
−0.0473110 + 0.998880i \(0.515065\pi\)
\(228\) 7.28688 22.1982i 0.482585 1.47011i
\(229\) 12.3550 8.97643i 0.816441 0.593179i −0.0992497 0.995063i \(-0.531644\pi\)
0.915691 + 0.401883i \(0.131644\pi\)
\(230\) −17.0532 + 9.59232i −1.12445 + 0.632499i
\(231\) −10.7949 + 2.43731i −0.710249 + 0.160363i
\(232\) 13.4802 6.47470i 0.885018 0.425085i
\(233\) −1.35155 0.981959i −0.0885430 0.0643303i 0.542633 0.839970i \(-0.317427\pi\)
−0.631176 + 0.775640i \(0.717427\pi\)
\(234\) 2.54650 + 4.78965i 0.166470 + 0.313109i
\(235\) −19.4265 3.14442i −1.26724 0.205119i
\(236\) 11.6894 1.04401i 0.760915 0.0679593i
\(237\) −6.11264 + 3.63276i −0.397059 + 0.235973i
\(238\) 6.12865 + 16.3467i 0.397262 + 1.05960i
\(239\) −8.03087 24.7165i −0.519474 1.59878i −0.774992 0.631971i \(-0.782246\pi\)
0.255518 0.966804i \(-0.417754\pi\)
\(240\) 15.4491 + 1.15179i 0.997232 + 0.0743478i
\(241\) 8.86263 27.2764i 0.570892 1.75703i −0.0788661 0.996885i \(-0.525130\pi\)
0.649758 0.760141i \(-0.274870\pi\)
\(242\) −0.104891 + 0.00467476i −0.00674268 + 0.000300505i
\(243\) −6.92733 + 13.9647i −0.444388 + 0.895834i
\(244\) 0.805497 0.702771i 0.0515666 0.0449903i
\(245\) 5.17766 5.14266i 0.330788 0.328552i
\(246\) 21.4205 14.0573i 1.36572 0.896260i
\(247\) −6.97642 + 5.06866i −0.443899 + 0.322511i
\(248\) 1.97652 + 2.07152i 0.125509 + 0.131542i
\(249\) 8.70541 + 7.64166i 0.551683 + 0.484270i
\(250\) −3.00854 15.5225i −0.190277 0.981730i
\(251\) −7.74599 −0.488923 −0.244461 0.969659i \(-0.578611\pi\)
−0.244461 + 0.969659i \(0.578611\pi\)
\(252\) −2.52012 11.3208i −0.158753 0.713141i
\(253\) −12.0211 16.5456i −0.755759 1.04021i
\(254\) 1.77547 6.42471i 0.111403 0.403122i
\(255\) 1.52240 + 24.6870i 0.0953366 + 1.54596i
\(256\) −0.674138 15.9858i −0.0421336 0.999112i
\(257\) 20.3261 1.26790 0.633952 0.773372i \(-0.281431\pi\)
0.633952 + 0.773372i \(0.281431\pi\)
\(258\) 6.40760 7.99085i 0.398920 0.497489i
\(259\) −13.1143 4.26110i −0.814884 0.264772i
\(260\) −4.37438 3.68234i −0.271288 0.228369i
\(261\) −6.81520 14.3229i −0.421850 0.886564i
\(262\) −6.49352 17.3199i −0.401171 1.07003i
\(263\) −13.0013 4.22439i −0.801697 0.260487i −0.120620 0.992699i \(-0.538488\pi\)
−0.681077 + 0.732212i \(0.738488\pi\)
\(264\) 0.672086 + 16.1792i 0.0413640 + 0.995761i
\(265\) −0.965607 + 5.96560i −0.0593168 + 0.366464i
\(266\) 17.2637 6.47243i 1.05850 0.396850i
\(267\) 3.09580 + 13.7113i 0.189460 + 0.839118i
\(268\) −2.42468 + 10.5899i −0.148111 + 0.646878i
\(269\) 13.2850 18.2852i 0.809999 1.11487i −0.181325 0.983423i \(-0.558039\pi\)
0.991324 0.131444i \(-0.0419615\pi\)
\(270\) 1.28149 16.3816i 0.0779890 0.996954i
\(271\) −14.0687 19.3639i −0.854611 1.17627i −0.982828 0.184525i \(-0.940925\pi\)
0.128217 0.991746i \(-0.459075\pi\)
\(272\) 25.1408 4.52689i 1.52438 0.274483i
\(273\) −1.69161 + 3.93226i −0.102381 + 0.237991i
\(274\) 1.22219 0.973978i 0.0738350 0.0588402i
\(275\) 15.7525 5.00042i 0.949909 0.301537i
\(276\) 17.3779 12.5457i 1.04603 0.755165i
\(277\) −12.4798 + 4.05493i −0.749838 + 0.243637i −0.658911 0.752221i \(-0.728983\pi\)
−0.0909262 + 0.995858i \(0.528983\pi\)
\(278\) 6.66818 + 1.84275i 0.399931 + 0.110521i
\(279\) 2.20482 2.08837i 0.131999 0.125028i
\(280\) 6.91763 + 10.0798i 0.413408 + 0.602384i
\(281\) −5.01969 + 6.90901i −0.299450 + 0.412157i −0.932055 0.362317i \(-0.881986\pi\)
0.632605 + 0.774475i \(0.281986\pi\)
\(282\) 21.5332 + 1.02489i 1.28228 + 0.0610316i
\(283\) 19.1833 + 13.9375i 1.14033 + 0.828497i 0.987165 0.159704i \(-0.0510539\pi\)
0.153164 + 0.988201i \(0.451054\pi\)
\(284\) −11.0216 6.59530i −0.654009 0.391359i
\(285\) 26.0718 1.60780i 1.54436 0.0952379i
\(286\) 3.29428 4.98692i 0.194795 0.294883i
\(287\) 19.2290 + 6.24789i 1.13505 + 0.368802i
\(288\) −16.9580 + 0.653109i −0.999259 + 0.0384848i
\(289\) 7.34983 + 22.6204i 0.432343 + 1.33061i
\(290\) 12.2989 + 11.3262i 0.722216 + 0.665100i
\(291\) −22.6771 + 13.4771i −1.32935 + 0.790039i
\(292\) 2.07976 + 2.38376i 0.121709 + 0.139499i
\(293\) −22.5369 −1.31662 −0.658310 0.752747i \(-0.728728\pi\)
−0.658310 + 0.752747i \(0.728728\pi\)
\(294\) −5.00099 + 6.23668i −0.291664 + 0.363731i
\(295\) 5.91720 + 11.7112i 0.344513 + 0.681851i
\(296\) −9.57947 + 17.7580i −0.556795 + 1.03216i
\(297\) 17.1631 0.650183i 0.995905 0.0377274i
\(298\) 0.578214 0.875306i 0.0334950 0.0507051i
\(299\) −7.91086 −0.457497
\(300\) 5.19057 + 16.5245i 0.299678 + 0.954040i
\(301\) 8.08281 0.465885
\(302\) 1.25798 1.90435i 0.0723888 0.109583i
\(303\) −14.1031 1.30256i −0.810204 0.0748301i
\(304\) −4.78082 26.5510i −0.274199 1.52281i
\(305\) 1.06304 + 0.546196i 0.0608697 + 0.0312751i
\(306\) −4.70409 26.6832i −0.268915 1.52538i
\(307\) −25.6580 −1.46438 −0.732188 0.681102i \(-0.761501\pi\)
−0.732188 + 0.681102i \(0.761501\pi\)
\(308\) −9.62894 + 8.40095i −0.548660 + 0.478689i
\(309\) −4.51023 7.58911i −0.256578 0.431730i
\(310\) −1.33473 + 2.90960i −0.0758074 + 0.165254i
\(311\) 4.26016 + 13.1114i 0.241572 + 0.743481i 0.996181 + 0.0873075i \(0.0278263\pi\)
−0.754610 + 0.656174i \(0.772174\pi\)
\(312\) 5.21587 + 3.46821i 0.295291 + 0.196349i
\(313\) 1.31724 + 0.427998i 0.0744549 + 0.0241919i 0.346008 0.938232i \(-0.387537\pi\)
−0.271553 + 0.962424i \(0.587537\pi\)
\(314\) 9.93186 15.0349i 0.560487 0.848471i
\(315\) 10.7180 7.29817i 0.603890 0.411205i
\(316\) −4.21607 + 7.04556i −0.237172 + 0.396344i
\(317\) −13.4807 9.79432i −0.757153 0.550104i 0.140883 0.990026i \(-0.455006\pi\)
−0.898036 + 0.439923i \(0.855006\pi\)
\(318\) 0.314731 6.61255i 0.0176492 0.370814i
\(319\) −10.2724 + 14.1387i −0.575144 + 0.791617i
\(320\) 16.3271 7.30922i 0.912714 0.408598i
\(321\) −17.0847 1.57793i −0.953573 0.0880716i
\(322\) 16.3027 + 4.50527i 0.908516 + 0.251069i
\(323\) 40.9642 13.3101i 2.27931 0.740592i
\(324\) 0.627038 + 17.9891i 0.0348355 + 0.999393i
\(325\) 2.01669 6.06643i 0.111866 0.336505i
\(326\) −20.5844 + 16.4040i −1.14006 + 0.908532i
\(327\) −3.27633 1.40944i −0.181181 0.0779422i
\(328\) 14.0460 26.0379i 0.775562 1.43770i
\(329\) 9.99932 + 13.7629i 0.551280 + 0.758772i
\(330\) −16.5289 + 7.38705i −0.909885 + 0.406644i
\(331\) −2.67343 + 3.67966i −0.146945 + 0.202252i −0.876144 0.482049i \(-0.839893\pi\)
0.729199 + 0.684301i \(0.239893\pi\)
\(332\) 13.0382 + 2.98525i 0.715562 + 0.163837i
\(333\) 18.7980 + 10.2293i 1.03012 + 0.560561i
\(334\) 4.67832 1.75398i 0.255986 0.0959734i
\(335\) −12.0030 + 1.85939i −0.655796 + 0.101589i
\(336\) −8.77374 10.1178i −0.478647 0.551970i
\(337\) 2.15927 + 0.701591i 0.117623 + 0.0382181i 0.367237 0.930127i \(-0.380304\pi\)
−0.249614 + 0.968345i \(0.580304\pi\)
\(338\) 5.64247 + 15.0499i 0.306910 + 0.818609i
\(339\) 17.9190 + 7.70856i 0.973226 + 0.418671i
\(340\) 15.0963 + 24.2444i 0.818714 + 1.31484i
\(341\) −3.18226 1.03398i −0.172329 0.0559931i
\(342\) −28.1799 + 4.96795i −1.52380 + 0.268636i
\(343\) −19.8393 −1.07122
\(344\) 2.12375 11.6349i 0.114505 0.627312i
\(345\) 20.2168 + 12.8652i 1.08844 + 0.692641i
\(346\) −0.292445 + 1.05824i −0.0157220 + 0.0568914i
\(347\) 9.57017 + 13.1722i 0.513754 + 0.707121i 0.984547 0.175122i \(-0.0560321\pi\)
−0.470793 + 0.882244i \(0.656032\pi\)
\(348\) −14.7849 10.8103i −0.792555 0.579492i
\(349\) 34.2785 1.83489 0.917443 0.397868i \(-0.130250\pi\)
0.917443 + 0.397868i \(0.130250\pi\)
\(350\) −7.61086 + 11.3532i −0.406818 + 0.606854i
\(351\) 3.69877 5.51880i 0.197426 0.294572i
\(352\) 9.56287 + 16.0678i 0.509703 + 0.856419i
\(353\) −18.8888 + 13.7235i −1.00535 + 0.730428i −0.963228 0.268685i \(-0.913411\pi\)
−0.0421197 + 0.999113i \(0.513411\pi\)
\(354\) −7.88614 12.0169i −0.419144 0.638692i
\(355\) 2.29452 14.1757i 0.121781 0.752370i
\(356\) 10.6706 + 12.2304i 0.565543 + 0.648210i
\(357\) 14.1053 16.0688i 0.746529 0.850449i
\(358\) 2.47217 0.110179i 0.130658 0.00582314i
\(359\) −4.99605 + 15.3763i −0.263681 + 0.811528i 0.728313 + 0.685245i \(0.240305\pi\)
−0.991994 + 0.126283i \(0.959695\pi\)
\(360\) −7.68931 17.3457i −0.405262 0.914200i
\(361\) −8.18534 25.1919i −0.430807 1.32589i
\(362\) −10.4303 27.8203i −0.548205 1.46220i
\(363\) 0.0656968 + 0.110544i 0.00344819 + 0.00580207i
\(364\) 0.439714 + 4.92331i 0.0230473 + 0.258051i
\(365\) −1.61640 + 3.14594i −0.0846060 + 0.164666i
\(366\) −1.22450 0.463312i −0.0640059 0.0242177i
\(367\) −7.89474 5.73586i −0.412102 0.299410i 0.362350 0.932042i \(-0.381974\pi\)
−0.774452 + 0.632632i \(0.781974\pi\)
\(368\) 10.7687 22.2835i 0.561357 1.16161i
\(369\) −27.5628 14.9988i −1.43486 0.780807i
\(370\) −22.4072 2.60942i −1.16489 0.135658i
\(371\) 4.22639 3.07065i 0.219423 0.159420i
\(372\) 1.09369 3.33175i 0.0567053 0.172743i
\(373\) −14.8156 + 4.81387i −0.767121 + 0.249253i −0.666332 0.745655i \(-0.732137\pi\)
−0.100789 + 0.994908i \(0.532137\pi\)
\(374\) −23.3464 + 18.6051i −1.20721 + 0.962046i
\(375\) −15.0195 + 12.2235i −0.775603 + 0.631221i
\(376\) 22.4385 10.7775i 1.15718 0.555806i
\(377\) 2.08898 + 6.42922i 0.107588 + 0.331122i
\(378\) −10.7654 + 9.26670i −0.553714 + 0.476628i
\(379\) −4.23224 5.82518i −0.217396 0.299219i 0.686365 0.727257i \(-0.259205\pi\)
−0.903761 + 0.428037i \(0.859205\pi\)
\(380\) 25.6044 15.9431i 1.31348 0.817865i
\(381\) −7.96311 + 1.79795i −0.407963 + 0.0921116i
\(382\) −7.17845 + 5.72061i −0.367282 + 0.292692i
\(383\) −4.14176 + 5.70065i −0.211634 + 0.291290i −0.901616 0.432537i \(-0.857618\pi\)
0.689982 + 0.723827i \(0.257618\pi\)
\(384\) −16.8694 + 9.97104i −0.860865 + 0.508833i
\(385\) −12.7077 6.52925i −0.647642 0.332761i
\(386\) −18.8609 + 28.5518i −0.959995 + 1.45325i
\(387\) −12.3324 2.29763i −0.626890 0.116795i
\(388\) −15.6410 + 26.1381i −0.794053 + 1.32696i
\(389\) −31.3638 + 10.1907i −1.59021 + 0.516689i −0.964660 0.263497i \(-0.915124\pi\)
−0.625547 + 0.780187i \(0.715124\pi\)
\(390\) −1.44636 + 6.85203i −0.0732393 + 0.346966i
\(391\) 37.5797 + 12.2104i 1.90049 + 0.617506i
\(392\) −1.65754 + 9.08079i −0.0837183 + 0.458649i
\(393\) −14.9450 + 17.0254i −0.753876 + 0.858819i
\(394\) 15.2024 0.677533i 0.765884 0.0341336i
\(395\) −9.06187 1.46678i −0.455952 0.0738016i
\(396\) 17.0794 10.0807i 0.858275 0.506572i
\(397\) 10.8354 + 14.9137i 0.543815 + 0.748497i 0.989157 0.146864i \(-0.0469178\pi\)
−0.445342 + 0.895361i \(0.646918\pi\)
\(398\) 10.6885 16.1803i 0.535765 0.811047i
\(399\) −16.9701 14.8965i −0.849568 0.745756i
\(400\) 14.3428 + 13.9386i 0.717139 + 0.696930i
\(401\) 18.4352i 0.920610i −0.887761 0.460305i \(-0.847740\pi\)
0.887761 0.460305i \(-0.152260\pi\)
\(402\) 12.8354 3.50536i 0.640174 0.174832i
\(403\) −1.04710 + 0.760759i −0.0521595 + 0.0378961i
\(404\) −15.0425 + 6.41734i −0.748395 + 0.319274i
\(405\) −18.4276 + 8.08851i −0.915674 + 0.401921i
\(406\) −0.643514 14.4390i −0.0319371 0.716598i
\(407\) 23.5797i 1.16880i
\(408\) −19.4243 24.5260i −0.961644 1.21422i
\(409\) −4.99298 + 15.3668i −0.246887 + 0.759840i 0.748433 + 0.663210i \(0.230806\pi\)
−0.995320 + 0.0966302i \(0.969194\pi\)
\(410\) 32.8548 + 3.82610i 1.62258 + 0.188958i
\(411\) −1.75825 0.756380i −0.0867281 0.0373095i
\(412\) −8.74737 5.23443i −0.430952 0.257882i
\(413\) 3.50507 10.7875i 0.172473 0.530818i
\(414\) −23.5933 11.5082i −1.15955 0.565595i
\(415\) 2.28927 + 14.7781i 0.112376 + 0.725426i
\(416\) 7.20245 + 0.660641i 0.353129 + 0.0323906i
\(417\) −1.86608 8.26489i −0.0913825 0.404733i
\(418\) 19.6487 + 24.6560i 0.961050 + 1.20596i
\(419\) 22.8505 + 16.6018i 1.11632 + 0.811052i 0.983647 0.180108i \(-0.0576447\pi\)
0.132671 + 0.991160i \(0.457645\pi\)
\(420\) 6.88292 13.2970i 0.335852 0.648827i
\(421\) 4.80147 3.48847i 0.234009 0.170018i −0.464601 0.885520i \(-0.653802\pi\)
0.698610 + 0.715503i \(0.253802\pi\)
\(422\) −10.1122 2.79451i −0.492254 0.136035i
\(423\) −11.3443 23.8412i −0.551576 1.15920i
\(424\) −3.30961 6.89055i −0.160729 0.334635i
\(425\) −18.9436 + 25.7051i −0.918898 + 1.24688i
\(426\) −0.747878 + 15.7131i −0.0362348 + 0.761300i
\(427\) −0.319263 0.982589i −0.0154502 0.0475508i
\(428\) −18.2227 + 7.77401i −0.880826 + 0.375771i
\(429\) −7.28898 0.673207i −0.351915 0.0325027i
\(430\) 12.9642 2.60405i 0.625190 0.125578i
\(431\) −7.04561 5.11893i −0.339375 0.246570i 0.405023 0.914306i \(-0.367263\pi\)
−0.744398 + 0.667736i \(0.767263\pi\)
\(432\) 10.5105 + 17.9313i 0.505686 + 0.862718i
\(433\) −9.93986 + 13.6810i −0.477679 + 0.657469i −0.978057 0.208338i \(-0.933195\pi\)
0.500378 + 0.865807i \(0.333195\pi\)
\(434\) 2.59111 0.971452i 0.124377 0.0466312i
\(435\) 5.11712 19.8276i 0.245347 0.950662i
\(436\) −4.10206 + 0.366366i −0.196453 + 0.0175457i
\(437\) 12.8953 39.6877i 0.616866 1.89852i
\(438\) 1.37111 3.62376i 0.0655142 0.173150i
\(439\) 28.9042 9.39156i 1.37952 0.448235i 0.477011 0.878897i \(-0.341720\pi\)
0.902513 + 0.430663i \(0.141720\pi\)
\(440\) −12.7375 + 16.5767i −0.607238 + 0.790261i
\(441\) 9.62514 + 1.79324i 0.458340 + 0.0853926i
\(442\) 0.514134 + 11.5360i 0.0244549 + 0.548713i
\(443\) 7.44778i 0.353855i −0.984224 0.176927i \(-0.943384\pi\)
0.984224 0.176927i \(-0.0566158\pi\)
\(444\) 24.7116 + 0.0746771i 1.17276 + 0.00354402i
\(445\) −8.29326 + 16.1409i −0.393138 + 0.765151i
\(446\) 6.01531 21.7670i 0.284833 1.03070i
\(447\) −1.27936 0.118162i −0.0605119 0.00558885i
\(448\) −14.4666 5.46328i −0.683483 0.258116i
\(449\) 25.1504i 1.18692i −0.804863 0.593460i \(-0.797761\pi\)
0.804863 0.593460i \(-0.202239\pi\)
\(450\) 14.8396 15.1587i 0.699544 0.714589i
\(451\) 34.5740i 1.62803i
\(452\) 22.4351 2.00374i 1.05526 0.0942481i
\(453\) −2.78343 0.257077i −0.130777 0.0120785i
\(454\) 14.5268 + 4.01449i 0.681778 + 0.188410i
\(455\) −4.93248 + 2.49219i −0.231238 + 0.116836i
\(456\) −25.9018 + 20.5138i −1.21296 + 0.960648i
\(457\) 13.9495i 0.652530i −0.945278 0.326265i \(-0.894210\pi\)
0.945278 0.326265i \(-0.105790\pi\)
\(458\) −21.5759 + 0.961587i −1.00818 + 0.0449320i
\(459\) −26.0889 + 20.5074i −1.21772 + 0.957204i
\(460\) 27.5998 + 1.97383i 1.28685 + 0.0920304i
\(461\) 20.1899 6.56010i 0.940338 0.305534i 0.201554 0.979477i \(-0.435401\pi\)
0.738783 + 0.673943i \(0.235401\pi\)
\(462\) 14.6378 + 5.53845i 0.681011 + 0.257672i
\(463\) 11.3104 34.8097i 0.525638 1.61775i −0.237414 0.971409i \(-0.576300\pi\)
0.763052 0.646337i \(-0.223700\pi\)
\(464\) −20.9536 2.86753i −0.972745 0.133122i
\(465\) 3.91314 0.241316i 0.181467 0.0111908i
\(466\) 0.829401 + 2.21223i 0.0384213 + 0.102480i
\(467\) 14.3942 19.8120i 0.666086 0.916789i −0.333577 0.942723i \(-0.608256\pi\)
0.999664 + 0.0259335i \(0.00825580\pi\)
\(468\) 0.728608 7.63675i 0.0336799 0.353009i
\(469\) 8.49455 + 6.17165i 0.392242 + 0.284980i
\(470\) 20.4721 + 18.8531i 0.944310 + 0.869629i
\(471\) −21.9754 2.02964i −1.01257 0.0935208i
\(472\) −14.6073 7.87982i −0.672354 0.362698i
\(473\) 4.27113 + 13.1452i 0.196387 + 0.604417i
\(474\) 10.0446 + 0.478083i 0.461364 + 0.0219591i
\(475\) 27.1470 + 20.0062i 1.24559 + 0.917946i
\(476\) 5.51029 24.0663i 0.252564 1.10308i
\(477\) −7.32130 + 3.48366i −0.335219 + 0.159506i
\(478\) −9.78981 + 35.4254i −0.447775 + 1.62032i
\(479\) 32.9577 23.9452i 1.50588 1.09408i 0.537912 0.843001i \(-0.319213\pi\)
0.967965 0.251083i \(-0.0807868\pi\)
\(480\) −17.3321 13.4015i −0.791097 0.611691i
\(481\) −7.37895 5.36112i −0.336451 0.244446i
\(482\) −31.7195 + 25.2778i −1.44479 + 1.15137i
\(483\) −4.56230 20.2065i −0.207592 0.919425i
\(484\) 0.127416 + 0.0762455i 0.00579162 + 0.00346571i
\(485\) −33.6183 5.44155i −1.52653 0.247088i
\(486\) 19.0596 11.0785i 0.864559 0.502532i
\(487\) −8.23388 + 25.3413i −0.373113 + 1.14832i 0.571630 + 0.820511i \(0.306311\pi\)
−0.944743 + 0.327812i \(0.893689\pi\)
\(488\) −1.49829 + 0.201393i −0.0678243 + 0.00911663i
\(489\) 29.6129 + 12.7391i 1.33914 + 0.576084i
\(490\) −10.1183 + 2.03240i −0.457097 + 0.0918145i
\(491\) 1.33928 4.12189i 0.0604411 0.186019i −0.916277 0.400545i \(-0.868821\pi\)
0.976718 + 0.214526i \(0.0688208\pi\)
\(492\) −36.2337 0.109496i −1.63354 0.00493647i
\(493\) 33.7656i 1.52073i
\(494\) 12.1831 0.542973i 0.548145 0.0244295i
\(495\) 17.5327 + 13.5743i 0.788038 + 0.610120i
\(496\) −0.717557 3.98506i −0.0322193 0.178935i
\(497\) −10.0429 + 7.29663i −0.450488 + 0.327299i
\(498\) −4.31578 15.8029i −0.193395 0.708146i
\(499\) 16.8236i 0.753129i −0.926391 0.376564i \(-0.877105\pi\)
0.926391 0.376564i \(-0.122895\pi\)
\(500\) −8.54957 + 20.6617i −0.382348 + 0.924018i
\(501\) −4.59877 4.03683i −0.205458 0.180352i
\(502\) 9.14026 + 6.03792i 0.407950 + 0.269485i
\(503\) −0.168870 0.232430i −0.00752955 0.0103635i 0.805236 0.592955i \(-0.202039\pi\)
−0.812765 + 0.582591i \(0.802039\pi\)
\(504\) −5.85067 + 15.3229i −0.260610 + 0.682536i
\(505\) −12.8852 12.9729i −0.573385 0.577287i
\(506\) 1.28774 + 28.8941i 0.0572471 + 1.28450i
\(507\) 12.9863 14.7940i 0.576741 0.657026i
\(508\) −7.10304 + 6.19719i −0.315147 + 0.274956i
\(509\) −5.13104 1.66718i −0.227429 0.0738963i 0.193085 0.981182i \(-0.438151\pi\)
−0.420515 + 0.907286i \(0.638151\pi\)
\(510\) 17.4469 30.3174i 0.772560 1.34248i
\(511\) 2.90784 0.944816i 0.128635 0.0417962i
\(512\) −11.6653 + 19.3887i −0.515537 + 0.856867i
\(513\) 21.6577 + 27.5523i 0.956212 + 1.21646i
\(514\) −23.9847 15.8439i −1.05792 0.698847i
\(515\) 1.82107 11.2507i 0.0802459 0.495765i
\(516\) −13.7897 + 4.43453i −0.607060 + 0.195219i
\(517\) −17.0989 + 23.5347i −0.752010 + 1.03505i
\(518\) 12.1534 + 15.2506i 0.533989 + 0.670071i
\(519\) 1.31164 0.296148i 0.0575745 0.0129994i
\(520\) 2.29141 + 7.75494i 0.100485 + 0.340077i
\(521\) 4.27500 + 5.88403i 0.187291 + 0.257784i 0.892329 0.451386i \(-0.149070\pi\)
−0.705038 + 0.709169i \(0.749070\pi\)
\(522\) −3.12261 + 22.2134i −0.136673 + 0.972252i
\(523\) 3.16787 + 9.74969i 0.138521 + 0.426324i 0.996121 0.0879932i \(-0.0280454\pi\)
−0.857600 + 0.514317i \(0.828045\pi\)
\(524\) −5.83834 + 25.4991i −0.255049 + 1.11393i
\(525\) 16.6583 + 1.65258i 0.727029 + 0.0721244i
\(526\) 12.0487 + 15.1192i 0.525348 + 0.659228i
\(527\) 6.14834 1.99772i 0.267826 0.0870219i
\(528\) 11.8185 19.6153i 0.514332 0.853647i
\(529\) 12.3637 8.98272i 0.537550 0.390553i
\(530\) 5.78953 6.28672i 0.251481 0.273077i
\(531\) −8.41434 + 15.4627i −0.365151 + 0.671025i
\(532\) −25.4163 5.81938i −1.10194 0.252302i
\(533\) 10.8195 + 7.86081i 0.468644 + 0.340490i
\(534\) 7.03478 18.5925i 0.304425 0.804575i
\(535\) −15.6093 15.7155i −0.674847 0.679440i
\(536\) 11.1158 10.6060i 0.480129 0.458109i
\(537\) −1.54840 2.60540i −0.0668184 0.112431i
\(538\) −29.9293 + 11.2210i −1.29035 + 0.483772i
\(539\) −3.33352 10.2595i −0.143585 0.441909i
\(540\) −14.2815 + 18.3314i −0.614576 + 0.788857i
\(541\) −8.28612 + 25.5021i −0.356248 + 1.09642i 0.599034 + 0.800724i \(0.295551\pi\)
−0.955282 + 0.295696i \(0.904449\pi\)
\(542\) 1.50709 + 33.8157i 0.0647349 + 1.45251i
\(543\) −24.0056 + 27.3473i −1.03018 + 1.17358i
\(544\) −33.1948 14.2553i −1.42321 0.611189i
\(545\) −2.07647 4.10970i −0.0889463 0.176040i
\(546\) 5.06126 3.32146i 0.216602 0.142146i
\(547\) 22.9981 16.7091i 0.983326 0.714428i 0.0248762 0.999691i \(-0.492081\pi\)
0.958449 + 0.285263i \(0.0920808\pi\)
\(548\) −2.20138 + 0.196611i −0.0940384 + 0.00839883i
\(549\) 0.207805 + 1.58994i 0.00886889 + 0.0678571i
\(550\) −22.4856 6.37838i −0.958791 0.271975i
\(551\) −35.6597 −1.51915
\(552\) −30.2852 + 1.25805i −1.28902 + 0.0535462i
\(553\) 4.66439 + 6.41998i 0.198350 + 0.273005i
\(554\) 17.8869 + 4.94305i 0.759942 + 0.210010i
\(555\) 10.1388 + 25.7010i 0.430369 + 1.09095i
\(556\) −6.43204 7.37223i −0.272779 0.312652i
\(557\) 9.95645 0.421868 0.210934 0.977500i \(-0.432349\pi\)
0.210934 + 0.977500i \(0.432349\pi\)
\(558\) −4.22955 + 0.745644i −0.179051 + 0.0315656i
\(559\) 5.08471 + 1.65212i 0.215060 + 0.0698773i
\(560\) −0.305687 17.2864i −0.0129176 0.730483i
\(561\) 33.5864 + 14.4485i 1.41802 + 0.610016i
\(562\) 11.3087 4.23983i 0.477030 0.178846i
\(563\) −36.7464 11.9396i −1.54868 0.503196i −0.594923 0.803782i \(-0.702818\pi\)
−0.953755 + 0.300587i \(0.902818\pi\)
\(564\) −24.6103 17.9943i −1.03628 0.757696i
\(565\) 11.3567 + 22.4769i 0.477781 + 0.945611i
\(566\) −11.7721 31.3994i −0.494820 1.31981i
\(567\) 16.2296 + 6.26489i 0.681580 + 0.263101i
\(568\) 7.86446 + 16.3736i 0.329985 + 0.687023i
\(569\) 0.279925 0.385284i 0.0117351 0.0161519i −0.803109 0.595832i \(-0.796822\pi\)
0.814844 + 0.579680i \(0.196822\pi\)
\(570\) −32.0180 18.4255i −1.34109 0.771759i
\(571\) 19.8598 + 27.3347i 0.831107 + 1.14392i 0.987716 + 0.156260i \(0.0499436\pi\)
−0.156609 + 0.987661i \(0.550056\pi\)
\(572\) −7.77449 + 3.31670i −0.325068 + 0.138678i
\(573\) 10.3270 + 4.44256i 0.431417 + 0.185591i
\(574\) −17.8201 22.3613i −0.743796 0.933344i
\(575\) 9.36009 + 29.4864i 0.390343 + 1.22967i
\(576\) 20.5195 + 12.4479i 0.854979 + 0.518663i
\(577\) 37.4731 12.1757i 1.56002 0.506882i 0.603209 0.797583i \(-0.293888\pi\)
0.956814 + 0.290700i \(0.0938883\pi\)
\(578\) 8.95961 32.4212i 0.372671 1.34854i
\(579\) 41.7319 + 3.85434i 1.73432 + 0.160181i
\(580\) −5.68399 22.9518i −0.236015 0.953022i
\(581\) 7.59850 10.4584i 0.315239 0.433889i
\(582\) 37.2641 + 1.77362i 1.54465 + 0.0735190i
\(583\) 7.22717 + 5.25085i 0.299319 + 0.217468i
\(584\) −0.595996 4.43399i −0.0246625 0.183480i
\(585\) 8.23418 2.40036i 0.340441 0.0992426i
\(586\) 26.5935 + 17.5673i 1.09857 + 0.725697i
\(587\) −28.6462 9.30771i −1.18235 0.384170i −0.349114 0.937080i \(-0.613517\pi\)
−0.833241 + 0.552910i \(0.813517\pi\)
\(588\) 10.7626 3.46105i 0.443842 0.142731i
\(589\) −2.10978 6.49322i −0.0869318 0.267549i
\(590\) 2.14645 18.4316i 0.0883678 0.758815i
\(591\) −9.52172 16.0216i −0.391671 0.659042i
\(592\) 25.1459 13.4873i 1.03349 0.554325i
\(593\) 37.9844 1.55983 0.779915 0.625885i \(-0.215262\pi\)
0.779915 + 0.625885i \(0.215262\pi\)
\(594\) −20.7593 12.6113i −0.851763 0.517446i
\(595\) 27.2779 4.22562i 1.11828 0.173233i
\(596\) −1.36458 + 0.582148i −0.0558955 + 0.0238457i
\(597\) −23.6495 2.18426i −0.967910 0.0893957i
\(598\) 9.33481 + 6.16643i 0.381729 + 0.252164i
\(599\) 19.2295 0.785697 0.392849 0.919603i \(-0.371490\pi\)
0.392849 + 0.919603i \(0.371490\pi\)
\(600\) 6.75578 23.5448i 0.275803 0.961214i
\(601\) 13.5562 0.552970 0.276485 0.961018i \(-0.410830\pi\)
0.276485 + 0.961018i \(0.410830\pi\)
\(602\) −9.53770 6.30046i −0.388728 0.256788i
\(603\) −11.2062 11.8311i −0.456353 0.481799i
\(604\) −2.96884 + 1.26654i −0.120800 + 0.0515349i
\(605\) −0.0265260 + 0.163880i −0.00107843 + 0.00666266i
\(606\) 15.6264 + 12.5303i 0.634777 + 0.509007i
\(607\) −44.6199 −1.81107 −0.905533 0.424275i \(-0.860529\pi\)
−0.905533 + 0.424275i \(0.860529\pi\)
\(608\) −15.0549 + 35.0568i −0.610556 + 1.42174i
\(609\) −15.2172 + 9.04363i −0.616632 + 0.366466i
\(610\) −0.828635 1.47314i −0.0335504 0.0596457i
\(611\) 3.47722 + 10.7018i 0.140673 + 0.432947i
\(612\) −15.2485 + 35.1529i −0.616382 + 1.42097i
\(613\) 26.2306 + 8.52285i 1.05944 + 0.344234i 0.786368 0.617758i \(-0.211959\pi\)
0.273076 + 0.961992i \(0.411959\pi\)
\(614\) 30.2763 + 20.0001i 1.22185 + 0.807138i
\(615\) −14.8662 37.6844i −0.599463 1.51958i
\(616\) 17.9106 2.40746i 0.721638 0.0969992i
\(617\) 5.87434 + 4.26795i 0.236492 + 0.171821i 0.699719 0.714418i \(-0.253309\pi\)
−0.463227 + 0.886240i \(0.653309\pi\)
\(618\) −0.593561 + 12.4708i −0.0238765 + 0.501650i
\(619\) 4.21056 5.79534i 0.169237 0.232934i −0.715971 0.698130i \(-0.754016\pi\)
0.885208 + 0.465195i \(0.154016\pi\)
\(620\) 3.84298 2.39292i 0.154338 0.0961018i
\(621\) 1.21705 + 32.1270i 0.0488386 + 1.28921i
\(622\) 5.19324 18.7922i 0.208230 0.753500i
\(623\) 14.9193 4.84758i 0.597730 0.194214i
\(624\) −3.45129 8.15820i −0.138162 0.326590i
\(625\) −24.9977 0.339112i −0.999908 0.0135645i
\(626\) −1.22072 1.53181i −0.0487899 0.0612236i
\(627\) 15.2590 35.4704i 0.609384 1.41655i
\(628\) −23.4392 + 9.99944i −0.935324 + 0.399021i
\(629\) 26.7780 + 36.8568i 1.06771 + 1.46958i
\(630\) −18.3361 + 0.257272i −0.730526 + 0.0102500i
\(631\) 5.44683 7.49692i 0.216835 0.298448i −0.686718 0.726924i \(-0.740949\pi\)
0.903553 + 0.428476i \(0.140949\pi\)
\(632\) 10.4669 5.02738i 0.416351 0.199978i
\(633\) 2.82989 + 12.5336i 0.112478 + 0.498165i
\(634\) 8.27267 + 22.0654i 0.328550 + 0.876327i
\(635\) −9.37414 4.81648i −0.372001 0.191136i
\(636\) −5.52580 + 7.55747i −0.219112 + 0.299673i
\(637\) −3.96850 1.28944i −0.157238 0.0510896i
\(638\) 23.1424 8.67647i 0.916216 0.343505i
\(639\) 17.3972 8.27804i 0.688223 0.327474i
\(640\) −24.9635 4.10195i −0.986767 0.162144i
\(641\) −8.25627 2.68262i −0.326103 0.105957i 0.141390 0.989954i \(-0.454843\pi\)
−0.467493 + 0.883997i \(0.654843\pi\)
\(642\) 18.9299 + 15.1793i 0.747103 + 0.599078i
\(643\) 4.35484 0.171738 0.0858691 0.996306i \(-0.472633\pi\)
0.0858691 + 0.996306i \(0.472633\pi\)
\(644\) −15.7254 18.0240i −0.619668 0.710246i
\(645\) −10.3076 12.4913i −0.405860 0.491843i
\(646\) −58.7127 16.2253i −2.31002 0.638375i
\(647\) −27.0047 37.1688i −1.06166 1.46126i −0.878239 0.478222i \(-0.841282\pi\)
−0.183425 0.983034i \(-0.558718\pi\)
\(648\) 13.2824 21.7159i 0.521781 0.853079i
\(649\) 19.3960 0.761361
\(650\) −7.10841 + 5.58639i −0.278815 + 0.219116i
\(651\) −2.54706 2.23582i −0.0998270 0.0876287i
\(652\) 37.0762 3.31138i 1.45202 0.129684i
\(653\) 14.4512 10.4994i 0.565521 0.410875i −0.267954 0.963432i \(-0.586348\pi\)
0.833475 + 0.552557i \(0.186348\pi\)
\(654\) 2.76742 + 4.21700i 0.108215 + 0.164898i
\(655\) −28.9019 + 4.47719i −1.12929 + 0.174938i
\(656\) −36.8705 + 19.7759i −1.43955 + 0.772121i
\(657\) −4.70523 + 0.614971i −0.183568 + 0.0239923i
\(658\) −1.07116 24.0345i −0.0417583 0.936964i
\(659\) −12.1328 + 37.3409i −0.472627 + 1.45460i 0.376505 + 0.926415i \(0.377126\pi\)
−0.849132 + 0.528181i \(0.822874\pi\)
\(660\) 25.2622 + 4.16738i 0.983329 + 0.162215i
\(661\) 5.59780 + 17.2283i 0.217729 + 0.670101i 0.998949 + 0.0458448i \(0.0145980\pi\)
−0.781219 + 0.624256i \(0.785402\pi\)
\(662\) 6.02290 2.25808i 0.234087 0.0877629i
\(663\) 12.1577 7.22538i 0.472167 0.280611i
\(664\) −13.0580 13.6857i −0.506750 0.531108i
\(665\) −4.46265 28.8080i −0.173054 1.11713i
\(666\) −14.2080 26.7233i −0.550547 1.03551i
\(667\) −26.4657 19.2285i −1.02476 0.744530i
\(668\) −6.88761 1.57701i −0.266490 0.0610162i
\(669\) −26.9791 + 6.09146i −1.04307 + 0.235509i
\(670\) 15.6129 + 7.16216i 0.603180 + 0.276698i
\(671\) 1.42929 1.03844i 0.0551773 0.0400887i
\(672\) 2.46630 + 18.7780i 0.0951397 + 0.724377i
\(673\) 11.8799 3.86002i 0.457938 0.148793i −0.0709589 0.997479i \(-0.522606\pi\)
0.528897 + 0.848686i \(0.322606\pi\)
\(674\) −2.00106 2.51101i −0.0770779 0.0967204i
\(675\) −24.9467 7.25673i −0.960200 0.279312i
\(676\) 5.07316 22.1571i 0.195122 0.852198i
\(677\) −0.545254 1.67812i −0.0209558 0.0644953i 0.940032 0.341087i \(-0.110795\pi\)
−0.960988 + 0.276592i \(0.910795\pi\)
\(678\) −15.1357 23.0638i −0.581281 0.885758i
\(679\) 17.3042 + 23.8173i 0.664076 + 0.914022i
\(680\) 1.08461 40.3758i 0.0415928 1.54834i
\(681\) −4.06532 18.0053i −0.155783 0.689965i
\(682\) 2.94909 + 3.70063i 0.112926 + 0.141705i
\(683\) 14.4758 19.9242i 0.553900 0.762377i −0.436635 0.899639i \(-0.643830\pi\)
0.990535 + 0.137261i \(0.0438300\pi\)
\(684\) 37.1248 + 16.1038i 1.41950 + 0.615744i
\(685\) −1.11435 2.20549i −0.0425770 0.0842673i
\(686\) 23.4104 + 15.4645i 0.893812 + 0.590438i
\(687\) 13.5137 + 22.7387i 0.515579 + 0.867535i
\(688\) −11.5753 + 12.0737i −0.441304 + 0.460307i
\(689\) 3.28637 1.06781i 0.125201 0.0406801i
\(690\) −13.8275 30.9398i −0.526405 1.17786i
\(691\) −24.6106 7.99648i −0.936233 0.304201i −0.199124 0.979974i \(-0.563810\pi\)
−0.737109 + 0.675774i \(0.763810\pi\)
\(692\) 1.16997 1.02077i 0.0444757 0.0388037i
\(693\) −2.48410 19.0062i −0.0943633 0.721987i
\(694\) −1.02519 23.0030i −0.0389157 0.873183i
\(695\) 4.99900 9.72939i 0.189623 0.369057i
\(696\) 9.01968 + 24.2808i 0.341890 + 0.920361i
\(697\) −39.2636 54.0418i −1.48722 2.04698i
\(698\) −40.4486 26.7197i −1.53100 1.01136i
\(699\) 1.90889 2.17461i 0.0722008 0.0822514i
\(700\) 17.8305 7.46418i 0.673930 0.282120i
\(701\) 10.2384i 0.386701i −0.981130 0.193350i \(-0.938065\pi\)
0.981130 0.193350i \(-0.0619354\pi\)
\(702\) −8.66639 + 3.62902i −0.327092 + 0.136969i
\(703\) 38.9242 28.2801i 1.46805 1.06660i
\(704\) 1.24054 26.4142i 0.0467545 0.995522i
\(705\) 8.51771 33.0041i 0.320796 1.24301i
\(706\) 32.9860 1.47011i 1.24145 0.0553283i
\(707\) 15.8062i 0.594453i
\(708\) −0.0614274 + 20.3271i −0.00230858 + 0.763940i
\(709\) −5.16434 + 15.8942i −0.193951 + 0.596919i 0.806036 + 0.591866i \(0.201608\pi\)
−0.999987 + 0.00505315i \(0.998392\pi\)
\(710\) −13.7574 + 14.9388i −0.516304 + 0.560643i
\(711\) −5.29176 11.1212i −0.198457 0.417078i
\(712\) −3.05788 22.7495i −0.114599 0.852573i
\(713\) 1.93547 5.95675i 0.0724837 0.223082i
\(714\) −29.1696 + 7.96623i −1.09165 + 0.298129i
\(715\) −6.65952 6.70484i −0.249052 0.250747i
\(716\) −3.00304 1.79702i −0.112229 0.0671579i
\(717\) 43.9080 9.91375i 1.63977 0.370236i
\(718\) 17.8810 14.2496i 0.667311 0.531790i
\(719\) 27.5673 + 20.0288i 1.02809 + 0.746950i 0.967925 0.251239i \(-0.0808379\pi\)
0.0601632 + 0.998189i \(0.480838\pi\)
\(720\) −4.44744 + 26.4617i −0.165746 + 0.986168i
\(721\) −7.97069 + 5.79104i −0.296844 + 0.215670i
\(722\) −9.97812 + 36.1068i −0.371347 + 1.34376i
\(723\) 45.6321 + 19.6304i 1.69708 + 0.730063i
\(724\) −9.37791 + 40.9583i −0.348527 + 1.52220i
\(725\) 21.4921 15.3933i 0.798198 0.571694i
\(726\) 0.00864591 0.181652i 0.000320880 0.00674174i
\(727\) 10.2891 + 31.6666i 0.381602 + 1.17445i 0.938916 + 0.344147i \(0.111832\pi\)
−0.557314 + 0.830302i \(0.688168\pi\)
\(728\) 3.31880 6.15225i 0.123003 0.228017i
\(729\) −22.9815 14.1721i −0.851168 0.524893i
\(730\) 4.35957 2.45224i 0.161355 0.0907613i
\(731\) −21.6043 15.6965i −0.799064 0.580554i
\(732\) 1.08377 + 1.50120i 0.0400572 + 0.0554858i
\(733\) 11.5429 15.8874i 0.426346 0.586815i −0.540763 0.841175i \(-0.681865\pi\)
0.967110 + 0.254359i \(0.0818646\pi\)
\(734\) 4.84473 + 12.9222i 0.178822 + 0.476966i
\(735\) 8.04483 + 9.74915i 0.296738 + 0.359603i
\(736\) −30.0768 + 17.9004i −1.10864 + 0.659816i
\(737\) −5.54834 + 17.0760i −0.204376 + 0.629004i
\(738\) 20.8326 + 39.1834i 0.766858 + 1.44236i
\(739\) −32.7559 + 10.6431i −1.20495 + 0.391511i −0.841579 0.540135i \(-0.818373\pi\)
−0.363368 + 0.931646i \(0.618373\pi\)
\(740\) 24.4064 + 20.5453i 0.897197 + 0.755259i
\(741\) −7.63068 12.8397i −0.280320 0.471678i
\(742\) −7.38068 + 0.328939i −0.270953 + 0.0120757i
\(743\) 48.2839i 1.77137i 0.464291 + 0.885683i \(0.346309\pi\)
−0.464291 + 0.885683i \(0.653691\pi\)
\(744\) −3.88762 + 3.07894i −0.142527 + 0.112879i
\(745\) −1.16888 1.17684i −0.0428245 0.0431159i
\(746\) 21.2347 + 5.86822i 0.777458 + 0.214851i
\(747\) −14.5664 + 13.7970i −0.532955 + 0.504807i
\(748\) 42.0512 3.75570i 1.53754 0.137322i
\(749\) 19.1477i 0.699643i
\(750\) 27.2511 2.71622i 0.995069 0.0991825i
\(751\) 15.7867i 0.576065i −0.957621 0.288033i \(-0.906999\pi\)
0.957621 0.288033i \(-0.0930011\pi\)
\(752\) −34.8783 4.77314i −1.27188 0.174059i
\(753\) 1.23389 13.3596i 0.0449653 0.486850i
\(754\) 2.54651 9.21481i 0.0927386 0.335583i
\(755\) −2.54306 2.56037i −0.0925515 0.0931813i
\(756\) 19.9265 2.54316i 0.724719 0.0924938i
\(757\) 8.47604i 0.308067i 0.988066 + 0.154033i \(0.0492264\pi\)
−0.988066 + 0.154033i \(0.950774\pi\)
\(758\) 0.453373 + 10.1727i 0.0164672 + 0.369489i
\(759\) 30.4512 18.0973i 1.10531 0.656890i
\(760\) −42.6406 1.14545i −1.54674 0.0415497i
\(761\) −24.4918 + 7.95786i −0.887826 + 0.288472i −0.717203 0.696864i \(-0.754578\pi\)
−0.170623 + 0.985336i \(0.554578\pi\)
\(762\) 10.7979 + 4.08559i 0.391168 + 0.148005i
\(763\) −1.23000 + 3.78556i −0.0445292 + 0.137047i
\(764\) 12.9297 1.15479i 0.467781 0.0417788i
\(765\) −42.8205 1.30678i −1.54818 0.0472467i
\(766\) 9.33087 3.49830i 0.337138 0.126399i
\(767\) 4.40992 6.06973i 0.159233 0.219165i
\(768\) 27.6782 + 1.38374i 0.998753 + 0.0499314i
\(769\) −8.67538 6.30303i −0.312842 0.227293i 0.420273 0.907398i \(-0.361934\pi\)
−0.733115 + 0.680105i \(0.761934\pi\)
\(770\) 9.90553 + 17.6100i 0.356971 + 0.634620i
\(771\) −3.23781 + 35.0566i −0.116607 + 1.26253i
\(772\) 44.5117 18.9892i 1.60201 0.683437i
\(773\) 12.9040 + 39.7144i 0.464124 + 1.42843i 0.860081 + 0.510158i \(0.170413\pi\)
−0.395957 + 0.918269i \(0.629587\pi\)