Properties

Label 300.2.r.a.119.27
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 119.27
Character \(\chi\) \(=\) 300.119
Dual form 300.2.r.a.179.27

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.129226 - 1.40830i) q^{2} +(-1.59388 - 0.677902i) q^{3} +(-1.96660 + 0.363979i) q^{4} +(-1.18493 - 1.89629i) q^{5} +(-0.748716 + 2.33226i) q^{6} -2.57099 q^{7} +(0.766727 + 2.72252i) q^{8} +(2.08090 + 2.16099i) q^{9} +O(q^{10})\) \(q+(-0.129226 - 1.40830i) q^{2} +(-1.59388 - 0.677902i) q^{3} +(-1.96660 + 0.363979i) q^{4} +(-1.18493 - 1.89629i) q^{5} +(-0.748716 + 2.33226i) q^{6} -2.57099 q^{7} +(0.766727 + 2.72252i) q^{8} +(2.08090 + 2.16099i) q^{9} +(-2.51742 + 1.91379i) q^{10} +(0.341075 + 1.04972i) q^{11} +(3.38127 + 0.753025i) q^{12} +(2.85389 + 0.927285i) q^{13} +(0.332240 + 3.62072i) q^{14} +(0.603138 + 3.82573i) q^{15} +(3.73504 - 1.43160i) q^{16} +(-2.78530 - 2.02364i) q^{17} +(2.77440 - 3.20978i) q^{18} +(-1.92721 + 2.65258i) q^{19} +(3.02050 + 3.29796i) q^{20} +(4.09785 + 1.74288i) q^{21} +(1.43424 - 0.615986i) q^{22} +(-4.10907 + 1.33512i) q^{23} +(0.623534 - 4.85914i) q^{24} +(-2.19187 + 4.49396i) q^{25} +(0.937095 - 4.13896i) q^{26} +(-1.85176 - 4.85499i) q^{27} +(5.05611 - 0.935785i) q^{28} +(1.76223 + 2.42550i) q^{29} +(5.30983 - 1.34378i) q^{30} +(-4.24092 + 5.83713i) q^{31} +(-2.49879 - 5.07504i) q^{32} +(0.167975 - 1.90434i) q^{33} +(-2.48995 + 4.18404i) q^{34} +(3.04645 + 4.87535i) q^{35} +(-4.87885 - 3.49240i) q^{36} +(-6.09098 - 1.97908i) q^{37} +(3.98467 + 2.37131i) q^{38} +(-3.92015 - 3.41264i) q^{39} +(4.25419 - 4.67995i) q^{40} +(-1.47132 - 0.478062i) q^{41} +(1.92494 - 5.99621i) q^{42} +9.70895 q^{43} +(-1.05283 - 1.94024i) q^{44} +(1.63214 - 6.50662i) q^{45} +(2.41124 + 5.61426i) q^{46} +(-6.37987 - 8.78114i) q^{47} +(-6.92368 - 0.250191i) q^{48} -0.390011 q^{49} +(6.61208 + 2.50606i) q^{50} +(3.06761 + 5.11360i) q^{51} +(-5.94998 - 0.784845i) q^{52} +(-10.5402 + 7.65790i) q^{53} +(-6.59798 + 3.23523i) q^{54} +(1.58643 - 1.89063i) q^{55} +(-1.97125 - 6.99958i) q^{56} +(4.86993 - 2.92143i) q^{57} +(3.18810 - 2.79518i) q^{58} +(3.55958 - 10.9552i) q^{59} +(-2.57862 - 7.30416i) q^{60} +(0.600696 + 1.84875i) q^{61} +(8.76845 + 5.21817i) q^{62} +(-5.34997 - 5.55587i) q^{63} +(-6.82426 + 4.17486i) q^{64} +(-1.62326 - 6.51059i) q^{65} +(-2.70359 + 0.00953207i) q^{66} +(1.29088 + 0.937878i) q^{67} +(6.21415 + 2.96591i) q^{68} +(7.45444 + 0.657531i) q^{69} +(6.47227 - 4.92033i) q^{70} +(-9.09695 + 6.60932i) q^{71} +(-4.28785 + 7.32218i) q^{72} +(-9.87014 + 3.20700i) q^{73} +(-2.00001 + 8.83365i) q^{74} +(6.54004 - 5.67696i) q^{75} +(2.82458 - 5.91803i) q^{76} +(-0.876900 - 2.69882i) q^{77} +(-4.29942 + 5.96173i) q^{78} +(-0.915625 - 1.26025i) q^{79} +(-7.14051 - 5.38638i) q^{80} +(-0.339725 + 8.99359i) q^{81} +(-0.483119 + 2.13384i) q^{82} +(3.91247 - 5.38506i) q^{83} +(-8.69320 - 1.93602i) q^{84} +(-0.537022 + 7.67964i) q^{85} +(-1.25465 - 13.6731i) q^{86} +(-1.16453 - 5.06057i) q^{87} +(-2.59638 + 1.73343i) q^{88} +(-9.75711 + 3.17028i) q^{89} +(-9.37417 - 1.45771i) q^{90} +(-7.33732 - 2.38404i) q^{91} +(7.59495 - 4.12126i) q^{92} +(10.7165 - 6.42875i) q^{93} +(-11.5420 + 10.1195i) q^{94} +(7.31370 + 0.511433i) q^{95} +(0.542380 + 9.78294i) q^{96} +(5.79317 + 7.97361i) q^{97} +(0.0503997 + 0.549251i) q^{98} +(-1.55869 + 2.92142i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.129226 1.40830i −0.0913769 0.995816i
\(3\) −1.59388 0.677902i −0.920226 0.391387i
\(4\) −1.96660 + 0.363979i −0.983301 + 0.181989i
\(5\) −1.18493 1.89629i −0.529918 0.848049i
\(6\) −0.748716 + 2.33226i −0.305662 + 0.952140i
\(7\) −2.57099 −0.971743 −0.485871 0.874030i \(-0.661498\pi\)
−0.485871 + 0.874030i \(0.661498\pi\)
\(8\) 0.766727 + 2.72252i 0.271079 + 0.962557i
\(9\) 2.08090 + 2.16099i 0.693633 + 0.720329i
\(10\) −2.51742 + 1.91379i −0.796079 + 0.605193i
\(11\) 0.341075 + 1.04972i 0.102838 + 0.316503i 0.989217 0.146458i \(-0.0467872\pi\)
−0.886379 + 0.462960i \(0.846787\pi\)
\(12\) 3.38127 + 0.753025i 0.976087 + 0.217380i
\(13\) 2.85389 + 0.927285i 0.791527 + 0.257183i 0.676754 0.736209i \(-0.263386\pi\)
0.114773 + 0.993392i \(0.463386\pi\)
\(14\) 0.332240 + 3.62072i 0.0887949 + 0.967677i
\(15\) 0.603138 + 3.82573i 0.155730 + 0.987800i
\(16\) 3.73504 1.43160i 0.933760 0.357900i
\(17\) −2.78530 2.02364i −0.675536 0.490805i 0.196338 0.980536i \(-0.437095\pi\)
−0.871874 + 0.489731i \(0.837095\pi\)
\(18\) 2.77440 3.20978i 0.653933 0.756552i
\(19\) −1.92721 + 2.65258i −0.442133 + 0.608544i −0.970684 0.240357i \(-0.922735\pi\)
0.528551 + 0.848901i \(0.322735\pi\)
\(20\) 3.02050 + 3.29796i 0.675405 + 0.737447i
\(21\) 4.09785 + 1.74288i 0.894223 + 0.380327i
\(22\) 1.43424 0.615986i 0.305781 0.131329i
\(23\) −4.10907 + 1.33512i −0.856801 + 0.278392i −0.704292 0.709911i \(-0.748735\pi\)
−0.152509 + 0.988302i \(0.548735\pi\)
\(24\) 0.623534 4.85914i 0.127278 0.991867i
\(25\) −2.19187 + 4.49396i −0.438373 + 0.898793i
\(26\) 0.937095 4.13896i 0.183779 0.811716i
\(27\) −1.85176 4.85499i −0.356372 0.934344i
\(28\) 5.05611 0.935785i 0.955515 0.176847i
\(29\) 1.76223 + 2.42550i 0.327238 + 0.450404i 0.940660 0.339351i \(-0.110208\pi\)
−0.613422 + 0.789755i \(0.710208\pi\)
\(30\) 5.30983 1.34378i 0.969437 0.245340i
\(31\) −4.24092 + 5.83713i −0.761692 + 1.04838i 0.235379 + 0.971904i \(0.424367\pi\)
−0.997071 + 0.0764758i \(0.975633\pi\)
\(32\) −2.49879 5.07504i −0.441727 0.897149i
\(33\) 0.167975 1.90434i 0.0292408 0.331503i
\(34\) −2.48995 + 4.18404i −0.427024 + 0.717558i
\(35\) 3.04645 + 4.87535i 0.514944 + 0.824085i
\(36\) −4.87885 3.49240i −0.813142 0.582066i
\(37\) −6.09098 1.97908i −1.00135 0.325358i −0.237945 0.971279i \(-0.576474\pi\)
−0.763405 + 0.645920i \(0.776474\pi\)
\(38\) 3.98467 + 2.37131i 0.646399 + 0.384677i
\(39\) −3.92015 3.41264i −0.627726 0.546459i
\(40\) 4.25419 4.67995i 0.672646 0.739965i
\(41\) −1.47132 0.478062i −0.229782 0.0746607i 0.191863 0.981422i \(-0.438547\pi\)
−0.421645 + 0.906761i \(0.638547\pi\)
\(42\) 1.92494 5.99621i 0.297025 0.925235i
\(43\) 9.70895 1.48060 0.740301 0.672276i \(-0.234683\pi\)
0.740301 + 0.672276i \(0.234683\pi\)
\(44\) −1.05283 1.94024i −0.158721 0.292502i
\(45\) 1.63214 6.50662i 0.243305 0.969950i
\(46\) 2.41124 + 5.61426i 0.355519 + 0.827778i
\(47\) −6.37987 8.78114i −0.930600 1.28086i −0.959625 0.281282i \(-0.909240\pi\)
0.0290253 0.999579i \(-0.490760\pi\)
\(48\) −6.92368 0.250191i −0.999348 0.0361120i
\(49\) −0.390011 −0.0557158
\(50\) 6.61208 + 2.50606i 0.935090 + 0.354410i
\(51\) 3.06761 + 5.11360i 0.429551 + 0.716048i
\(52\) −5.94998 0.784845i −0.825113 0.108838i
\(53\) −10.5402 + 7.65790i −1.44781 + 1.05189i −0.461469 + 0.887156i \(0.652677\pi\)
−0.986338 + 0.164737i \(0.947323\pi\)
\(54\) −6.59798 + 3.23523i −0.897871 + 0.440258i
\(55\) 1.58643 1.89063i 0.213914 0.254932i
\(56\) −1.97125 6.99958i −0.263419 0.935358i
\(57\) 4.86993 2.92143i 0.645039 0.386953i
\(58\) 3.18810 2.79518i 0.418618 0.367025i
\(59\) 3.55958 10.9552i 0.463417 1.42625i −0.397545 0.917583i \(-0.630138\pi\)
0.860962 0.508669i \(-0.169862\pi\)
\(60\) −2.57862 7.30416i −0.332898 0.942963i
\(61\) 0.600696 + 1.84875i 0.0769113 + 0.236709i 0.982119 0.188261i \(-0.0602849\pi\)
−0.905208 + 0.424969i \(0.860285\pi\)
\(62\) 8.76845 + 5.21817i 1.11359 + 0.662708i
\(63\) −5.34997 5.55587i −0.674033 0.699974i
\(64\) −6.82426 + 4.17486i −0.853032 + 0.521858i
\(65\) −1.62326 6.51059i −0.201341 0.807539i
\(66\) −2.70359 + 0.00953207i −0.332788 + 0.00117332i
\(67\) 1.29088 + 0.937878i 0.157706 + 0.114580i 0.663840 0.747875i \(-0.268926\pi\)
−0.506134 + 0.862455i \(0.668926\pi\)
\(68\) 6.21415 + 2.96591i 0.753576 + 0.359669i
\(69\) 7.45444 + 0.657531i 0.897410 + 0.0791574i
\(70\) 6.47227 4.92033i 0.773584 0.588092i
\(71\) −9.09695 + 6.60932i −1.07961 + 0.784382i −0.977615 0.210403i \(-0.932522\pi\)
−0.101995 + 0.994785i \(0.532522\pi\)
\(72\) −4.28785 + 7.32218i −0.505328 + 0.862927i
\(73\) −9.87014 + 3.20700i −1.15521 + 0.375351i −0.823104 0.567890i \(-0.807760\pi\)
−0.332108 + 0.943241i \(0.607760\pi\)
\(74\) −2.00001 + 8.83365i −0.232497 + 1.02689i
\(75\) 6.54004 5.67696i 0.755178 0.655519i
\(76\) 2.82458 5.91803i 0.324001 0.678845i
\(77\) −0.876900 2.69882i −0.0999320 0.307559i
\(78\) −4.29942 + 5.96173i −0.486814 + 0.675033i
\(79\) −0.915625 1.26025i −0.103016 0.141789i 0.754397 0.656419i \(-0.227929\pi\)
−0.857413 + 0.514629i \(0.827929\pi\)
\(80\) −7.14051 5.38638i −0.798333 0.602216i
\(81\) −0.339725 + 8.99359i −0.0377472 + 0.999287i
\(82\) −0.483119 + 2.13384i −0.0533516 + 0.235643i
\(83\) 3.91247 5.38506i 0.429450 0.591087i −0.538377 0.842704i \(-0.680962\pi\)
0.967827 + 0.251617i \(0.0809624\pi\)
\(84\) −8.69320 1.93602i −0.948506 0.211237i
\(85\) −0.537022 + 7.67964i −0.0582482 + 0.832974i
\(86\) −1.25465 13.6731i −0.135293 1.47441i
\(87\) −1.16453 5.06057i −0.124850 0.542550i
\(88\) −2.59638 + 1.73343i −0.276775 + 0.184785i
\(89\) −9.75711 + 3.17028i −1.03425 + 0.336049i −0.776470 0.630154i \(-0.782992\pi\)
−0.257782 + 0.966203i \(0.582992\pi\)
\(90\) −9.37417 1.45771i −0.988124 0.153656i
\(91\) −7.33732 2.38404i −0.769160 0.249915i
\(92\) 7.59495 4.12126i 0.791829 0.429671i
\(93\) 10.7165 6.42875i 1.11125 0.666630i
\(94\) −11.5420 + 10.1195i −1.19047 + 1.04375i
\(95\) 7.31370 + 0.511433i 0.750369 + 0.0524719i
\(96\) 0.542380 + 9.78294i 0.0553564 + 0.998467i
\(97\) 5.79317 + 7.97361i 0.588207 + 0.809597i 0.994565 0.104116i \(-0.0332015\pi\)
−0.406358 + 0.913714i \(0.633201\pi\)
\(98\) 0.0503997 + 0.549251i 0.00509114 + 0.0554827i
\(99\) −1.55869 + 2.92142i −0.156654 + 0.293614i
\(100\) 2.67482 9.63563i 0.267482 0.963563i
\(101\) 3.49582i 0.347847i −0.984759 0.173923i \(-0.944355\pi\)
0.984759 0.173923i \(-0.0556445\pi\)
\(102\) 6.80506 4.98091i 0.673801 0.493184i
\(103\) 11.4232 8.29944i 1.12556 0.817769i 0.140519 0.990078i \(-0.455123\pi\)
0.985043 + 0.172309i \(0.0551229\pi\)
\(104\) −0.336401 + 8.48076i −0.0329868 + 0.831607i
\(105\) −1.55066 9.83592i −0.151329 0.959887i
\(106\) 12.1467 + 13.8541i 1.17979 + 1.34563i
\(107\) 17.4584i 1.68777i 0.536527 + 0.843883i \(0.319736\pi\)
−0.536527 + 0.843883i \(0.680264\pi\)
\(108\) 5.40879 + 8.87384i 0.520461 + 0.853885i
\(109\) 5.59363 17.2154i 0.535772 1.64894i −0.206203 0.978509i \(-0.566111\pi\)
0.741975 0.670428i \(-0.233889\pi\)
\(110\) −2.86757 1.98984i −0.273412 0.189724i
\(111\) 8.36666 + 7.28349i 0.794128 + 0.691319i
\(112\) −9.60275 + 3.68063i −0.907374 + 0.347787i
\(113\) −0.317738 + 0.977897i −0.0298903 + 0.0919928i −0.964889 0.262659i \(-0.915401\pi\)
0.934998 + 0.354652i \(0.115401\pi\)
\(114\) −4.74357 6.48079i −0.444276 0.606981i
\(115\) 7.40076 + 6.20999i 0.690124 + 0.579084i
\(116\) −4.34843 4.12858i −0.403741 0.383329i
\(117\) 3.93480 + 8.09680i 0.363773 + 0.748550i
\(118\) −15.8882 3.59723i −1.46263 0.331152i
\(119\) 7.16099 + 5.20276i 0.656447 + 0.476937i
\(120\) −9.95320 + 4.57535i −0.908599 + 0.417670i
\(121\) 7.91361 5.74957i 0.719419 0.522688i
\(122\) 2.52597 1.08487i 0.228690 0.0982192i
\(123\) 2.02103 + 1.75938i 0.182230 + 0.158638i
\(124\) 6.21561 13.0229i 0.558179 1.16949i
\(125\) 11.1191 1.16862i 0.994522 0.104525i
\(126\) −7.13296 + 8.25231i −0.635455 + 0.735174i
\(127\) −4.86314 14.9672i −0.431534 1.32813i −0.896597 0.442848i \(-0.853968\pi\)
0.465063 0.885278i \(-0.346032\pi\)
\(128\) 6.76132 + 9.07108i 0.597622 + 0.801778i
\(129\) −15.4749 6.58172i −1.36249 0.579488i
\(130\) −8.95907 + 3.12738i −0.785763 + 0.274289i
\(131\) 2.32741 + 1.69096i 0.203347 + 0.147740i 0.684798 0.728733i \(-0.259890\pi\)
−0.481452 + 0.876473i \(0.659890\pi\)
\(132\) 0.362799 + 3.80622i 0.0315776 + 0.331289i
\(133\) 4.95485 6.81976i 0.429640 0.591348i
\(134\) 1.15399 1.93914i 0.0996900 0.167516i
\(135\) −7.01229 + 9.26433i −0.603521 + 0.797347i
\(136\) 3.37384 9.13464i 0.289305 0.783289i
\(137\) 2.15741 6.63983i 0.184320 0.567279i −0.815616 0.578594i \(-0.803602\pi\)
0.999936 + 0.0113150i \(0.00360174\pi\)
\(138\) −0.0373128 10.5830i −0.00317628 0.900888i
\(139\) 0.828998 0.269358i 0.0703147 0.0228466i −0.273648 0.961830i \(-0.588230\pi\)
0.343963 + 0.938983i \(0.388230\pi\)
\(140\) −7.76568 8.47903i −0.656320 0.716609i
\(141\) 4.21599 + 18.3210i 0.355050 + 1.54291i
\(142\) 10.4835 + 11.9571i 0.879752 + 1.00342i
\(143\) 3.31206i 0.276968i
\(144\) 10.8659 + 5.09235i 0.905492 + 0.424363i
\(145\) 2.51134 6.21576i 0.208555 0.516191i
\(146\) 5.79190 + 13.4857i 0.479341 + 1.11608i
\(147\) 0.621630 + 0.264389i 0.0512711 + 0.0218064i
\(148\) 12.6989 + 1.67507i 1.04384 + 0.137690i
\(149\) 1.89407i 0.155168i 0.996986 + 0.0775839i \(0.0247206\pi\)
−0.996986 + 0.0775839i \(0.975279\pi\)
\(150\) −8.84000 8.47670i −0.721783 0.692120i
\(151\) 8.84470i 0.719771i −0.932996 0.359886i \(-0.882816\pi\)
0.932996 0.359886i \(-0.117184\pi\)
\(152\) −8.69936 3.21308i −0.705611 0.260615i
\(153\) −1.42287 10.2300i −0.115032 0.827046i
\(154\) −3.68742 + 1.58369i −0.297141 + 0.127618i
\(155\) 16.0941 + 1.12543i 1.29271 + 0.0903968i
\(156\) 8.95149 + 5.28445i 0.716693 + 0.423094i
\(157\) 4.69192i 0.374456i 0.982316 + 0.187228i \(0.0599503\pi\)
−0.982316 + 0.187228i \(0.940050\pi\)
\(158\) −1.65648 + 1.45233i −0.131783 + 0.115541i
\(159\) 21.9911 5.06054i 1.74401 0.401327i
\(160\) −6.66288 + 10.7520i −0.526747 + 0.850022i
\(161\) 10.5644 3.43258i 0.832590 0.270525i
\(162\) 12.7095 0.683776i 0.998556 0.0537225i
\(163\) −5.50532 + 16.9436i −0.431210 + 1.32713i 0.465711 + 0.884937i \(0.345799\pi\)
−0.896921 + 0.442191i \(0.854201\pi\)
\(164\) 3.06751 + 0.404627i 0.239532 + 0.0315960i
\(165\) −3.81023 + 1.93799i −0.296626 + 0.150872i
\(166\) −8.08935 4.81403i −0.627856 0.373641i
\(167\) −7.71321 + 10.6163i −0.596866 + 0.821516i −0.995417 0.0956305i \(-0.969513\pi\)
0.398551 + 0.917146i \(0.369513\pi\)
\(168\) −1.60310 + 12.4928i −0.123682 + 0.963840i
\(169\) −3.23239 2.34847i −0.248645 0.180651i
\(170\) 10.8846 0.236126i 0.834812 0.0181100i
\(171\) −9.74253 + 1.35507i −0.745030 + 0.103625i
\(172\) −19.0936 + 3.53385i −1.45588 + 0.269454i
\(173\) −2.50417 7.70704i −0.190388 0.585955i 0.809611 0.586967i \(-0.199678\pi\)
−0.999999 + 0.00101136i \(0.999678\pi\)
\(174\) −6.97630 + 2.29396i −0.528872 + 0.173905i
\(175\) 5.63527 11.5539i 0.425986 0.873396i
\(176\) 2.77671 + 3.43246i 0.209302 + 0.258732i
\(177\) −13.1001 + 15.0483i −0.984665 + 1.13110i
\(178\) 5.72557 + 13.3312i 0.429150 + 0.999218i
\(179\) 11.4262 8.30164i 0.854036 0.620493i −0.0722200 0.997389i \(-0.523008\pi\)
0.926256 + 0.376895i \(0.123008\pi\)
\(180\) −0.841501 + 13.3900i −0.0627218 + 0.998031i
\(181\) −20.1066 14.6083i −1.49451 1.08582i −0.972505 0.232882i \(-0.925184\pi\)
−0.522005 0.852942i \(-0.674816\pi\)
\(182\) −2.40926 + 10.6412i −0.178586 + 0.788779i
\(183\) 0.295836 3.35390i 0.0218688 0.247927i
\(184\) −6.78543 10.1634i −0.500228 0.749254i
\(185\) 3.46448 + 13.8954i 0.254714 + 1.02161i
\(186\) −10.4384 14.2613i −0.765384 1.04569i
\(187\) 1.17426 3.61400i 0.0858705 0.264282i
\(188\) 15.7428 + 14.9469i 1.14816 + 1.09011i
\(189\) 4.76086 + 12.4821i 0.346302 + 0.907942i
\(190\) −0.224874 10.3659i −0.0163141 0.752025i
\(191\) −4.61987 + 14.2185i −0.334282 + 1.02881i 0.632792 + 0.774322i \(0.281909\pi\)
−0.967075 + 0.254493i \(0.918091\pi\)
\(192\) 13.7072 2.02805i 0.989231 0.146362i
\(193\) 16.1589i 1.16314i 0.813495 + 0.581572i \(0.197562\pi\)
−0.813495 + 0.581572i \(0.802438\pi\)
\(194\) 10.4806 9.18890i 0.752462 0.659725i
\(195\) −1.82625 + 11.4775i −0.130781 + 0.821921i
\(196\) 0.766995 0.141955i 0.0547854 0.0101397i
\(197\) −20.5862 + 14.9567i −1.46670 + 1.06562i −0.485151 + 0.874431i \(0.661235\pi\)
−0.981553 + 0.191192i \(0.938765\pi\)
\(198\) 4.31565 + 1.81757i 0.306700 + 0.129169i
\(199\) 7.88619i 0.559037i 0.960140 + 0.279518i \(0.0901748\pi\)
−0.960140 + 0.279518i \(0.909825\pi\)
\(200\) −13.9155 2.52176i −0.983973 0.178316i
\(201\) −1.42171 2.36995i −0.100280 0.167164i
\(202\) −4.92315 + 0.451752i −0.346392 + 0.0317852i
\(203\) −4.53067 6.23593i −0.317991 0.437677i
\(204\) −7.89400 8.93987i −0.552691 0.625916i
\(205\) 0.836873 + 3.35653i 0.0584497 + 0.234430i
\(206\) −13.1643 15.0148i −0.917198 1.04613i
\(207\) −11.4357 6.10141i −0.794839 0.424077i
\(208\) 11.9869 0.622186i 0.831142 0.0431409i
\(209\) −3.44179 1.11831i −0.238074 0.0773549i
\(210\) −13.6515 + 3.45485i −0.942044 + 0.238408i
\(211\) −4.87585 + 1.58426i −0.335667 + 0.109065i −0.472001 0.881598i \(-0.656468\pi\)
0.136334 + 0.990663i \(0.456468\pi\)
\(212\) 17.9410 18.8964i 1.23220 1.29781i
\(213\) 18.9799 4.36762i 1.30048 0.299264i
\(214\) 24.5866 2.25609i 1.68070 0.154223i
\(215\) −11.5045 18.4110i −0.784598 1.25562i
\(216\) 11.7980 8.76392i 0.802755 0.596309i
\(217\) 10.9034 15.0072i 0.740169 1.01876i
\(218\) −24.9673 5.65280i −1.69100 0.382856i
\(219\) 17.9058 + 1.57941i 1.20996 + 0.106727i
\(220\) −2.43172 + 4.29553i −0.163947 + 0.289605i
\(221\) −6.07246 8.35803i −0.408478 0.562222i
\(222\) 9.17613 12.7240i 0.615861 0.853976i
\(223\) −4.40201 13.5480i −0.294780 0.907240i −0.983295 0.182018i \(-0.941737\pi\)
0.688515 0.725222i \(-0.258263\pi\)
\(224\) 6.42435 + 13.0479i 0.429245 + 0.871799i
\(225\) −14.2724 + 4.61489i −0.951497 + 0.307659i
\(226\) 1.41823 + 0.321099i 0.0943392 + 0.0213592i
\(227\) −10.7472 + 3.49199i −0.713319 + 0.231771i −0.643124 0.765762i \(-0.722362\pi\)
−0.0701948 + 0.997533i \(0.522362\pi\)
\(228\) −8.51388 + 7.51784i −0.563845 + 0.497881i
\(229\) 1.07109 0.778193i 0.0707797 0.0514245i −0.551833 0.833955i \(-0.686071\pi\)
0.622612 + 0.782530i \(0.286071\pi\)
\(230\) 7.78913 11.2250i 0.513600 0.740152i
\(231\) −0.431863 + 4.89604i −0.0284145 + 0.322136i
\(232\) −5.25233 + 6.65740i −0.344832 + 0.437080i
\(233\) 1.96994 + 1.43124i 0.129055 + 0.0937639i 0.650440 0.759558i \(-0.274584\pi\)
−0.521385 + 0.853321i \(0.674584\pi\)
\(234\) 10.8942 6.58770i 0.712178 0.430651i
\(235\) −9.09191 + 22.5032i −0.593091 + 1.46795i
\(236\) −3.01279 + 22.8402i −0.196116 + 1.48677i
\(237\) 0.605070 + 2.62939i 0.0393035 + 0.170797i
\(238\) 6.40165 10.7571i 0.414957 0.697282i
\(239\) −3.38732 10.4251i −0.219108 0.674344i −0.998836 0.0482265i \(-0.984643\pi\)
0.779729 0.626117i \(-0.215357\pi\)
\(240\) 7.72967 + 13.4258i 0.498948 + 0.866632i
\(241\) −0.276512 + 0.851015i −0.0178117 + 0.0548187i −0.959567 0.281479i \(-0.909175\pi\)
0.941756 + 0.336298i \(0.109175\pi\)
\(242\) −9.11975 10.4017i −0.586240 0.668647i
\(243\) 6.63825 14.1044i 0.425844 0.904797i
\(244\) −1.85424 3.41712i −0.118705 0.218759i
\(245\) 0.462136 + 0.739575i 0.0295248 + 0.0472497i
\(246\) 2.21656 3.07357i 0.141323 0.195964i
\(247\) −7.95976 + 5.78310i −0.506467 + 0.367970i
\(248\) −19.1433 7.07052i −1.21560 0.448979i
\(249\) −9.88655 + 5.93085i −0.626534 + 0.375853i
\(250\) −3.08265 15.5080i −0.194964 0.980810i
\(251\) 4.05849 0.256170 0.128085 0.991763i \(-0.459117\pi\)
0.128085 + 0.991763i \(0.459117\pi\)
\(252\) 12.5435 + 8.97891i 0.790165 + 0.565618i
\(253\) −2.80300 3.85800i −0.176223 0.242550i
\(254\) −20.4498 + 8.78291i −1.28314 + 0.551089i
\(255\) 6.06199 11.8764i 0.379617 0.743727i
\(256\) 11.9010 10.6942i 0.743815 0.668386i
\(257\) 3.37445 0.210493 0.105246 0.994446i \(-0.466437\pi\)
0.105246 + 0.994446i \(0.466437\pi\)
\(258\) −7.26925 + 22.6438i −0.452563 + 1.40974i
\(259\) 15.6598 + 5.08819i 0.973055 + 0.316165i
\(260\) 5.56203 + 12.2129i 0.344942 + 0.757412i
\(261\) −1.57445 + 8.85537i −0.0974562 + 0.548133i
\(262\) 2.08062 3.49620i 0.128541 0.215996i
\(263\) −17.6099 5.72179i −1.08587 0.352821i −0.289221 0.957262i \(-0.593396\pi\)
−0.796649 + 0.604442i \(0.793396\pi\)
\(264\) 5.31341 1.00279i 0.327017 0.0617176i
\(265\) 27.0111 + 10.9132i 1.65928 + 0.670393i
\(266\) −10.2445 6.09660i −0.628133 0.373807i
\(267\) 17.7008 + 1.56133i 1.08327 + 0.0955516i
\(268\) −2.88001 1.37458i −0.175925 0.0839658i
\(269\) 8.22156 11.3160i 0.501278 0.689949i −0.481140 0.876644i \(-0.659777\pi\)
0.982418 + 0.186694i \(0.0597773\pi\)
\(270\) 13.9531 + 8.67818i 0.849159 + 0.528137i
\(271\) 1.77357 + 2.44111i 0.107737 + 0.148287i 0.859481 0.511168i \(-0.170787\pi\)
−0.751744 + 0.659455i \(0.770787\pi\)
\(272\) −13.3003 3.57094i −0.806447 0.216520i
\(273\) 10.0787 + 8.77386i 0.609988 + 0.531018i
\(274\) −9.62964 2.18023i −0.581748 0.131713i
\(275\) −5.46500 0.768069i −0.329552 0.0463163i
\(276\) −14.8992 + 1.42016i −0.896829 + 0.0854834i
\(277\) 15.8065 5.13586i 0.949723 0.308584i 0.207120 0.978316i \(-0.433591\pi\)
0.742603 + 0.669732i \(0.233591\pi\)
\(278\) −0.486464 1.13267i −0.0291762 0.0679328i
\(279\) −21.4389 + 2.98190i −1.28351 + 0.178521i
\(280\) −10.9375 + 12.0321i −0.653639 + 0.719055i
\(281\) 8.41043 11.5760i 0.501724 0.690564i −0.480772 0.876845i \(-0.659644\pi\)
0.982496 + 0.186282i \(0.0596437\pi\)
\(282\) 25.2566 8.30492i 1.50401 0.494551i
\(283\) −23.9062 17.3689i −1.42108 1.03247i −0.991592 0.129400i \(-0.958695\pi\)
−0.429486 0.903074i \(-0.641305\pi\)
\(284\) 15.4844 16.3090i 0.918831 0.967761i
\(285\) −11.3104 5.77313i −0.669973 0.341971i
\(286\) 4.66436 0.428006i 0.275810 0.0253085i
\(287\) 3.78275 + 1.22909i 0.223289 + 0.0725510i
\(288\) 5.76738 15.9605i 0.339846 0.940481i
\(289\) −1.59049 4.89504i −0.0935585 0.287944i
\(290\) −9.07816 2.73347i −0.533088 0.160515i
\(291\) −3.82828 16.6362i −0.224418 0.975229i
\(292\) 18.2433 9.89942i 1.06761 0.579319i
\(293\) −0.613813 −0.0358593 −0.0179297 0.999839i \(-0.505707\pi\)
−0.0179297 + 0.999839i \(0.505707\pi\)
\(294\) 0.292007 0.909605i 0.0170302 0.0530492i
\(295\) −24.9922 + 6.23123i −1.45510 + 0.362796i
\(296\) 0.717970 18.1002i 0.0417312 1.05205i
\(297\) 4.46480 3.59975i 0.259074 0.208879i
\(298\) 2.66741 0.244763i 0.154519 0.0141788i
\(299\) −12.9649 −0.749778
\(300\) −10.7953 + 13.5448i −0.623270 + 0.782007i
\(301\) −24.9616 −1.43876
\(302\) −12.4560 + 1.14297i −0.716760 + 0.0657705i
\(303\) −2.36982 + 5.57191i −0.136143 + 0.320098i
\(304\) −3.40078 + 12.6665i −0.195048 + 0.726474i
\(305\) 2.79400 3.32975i 0.159984 0.190661i
\(306\) −14.2230 + 3.32581i −0.813075 + 0.190124i
\(307\) 14.6167 0.834219 0.417109 0.908856i \(-0.363043\pi\)
0.417109 + 0.908856i \(0.363043\pi\)
\(308\) 2.70682 + 4.98833i 0.154236 + 0.284236i
\(309\) −23.8334 + 5.48450i −1.35584 + 0.312002i
\(310\) −0.494846 22.8107i −0.0281054 1.29556i
\(311\) −2.17174 6.68393i −0.123148 0.379011i 0.870411 0.492326i \(-0.163853\pi\)
−0.993559 + 0.113315i \(0.963853\pi\)
\(312\) 6.28530 13.2892i 0.355835 0.752356i
\(313\) −8.47040 2.75220i −0.478775 0.155564i 0.0596800 0.998218i \(-0.480992\pi\)
−0.538455 + 0.842654i \(0.680992\pi\)
\(314\) 6.60762 0.606321i 0.372890 0.0342167i
\(315\) −4.19622 + 16.7285i −0.236430 + 0.942542i
\(316\) 2.25937 + 2.14514i 0.127100 + 0.120674i
\(317\) −2.49215 1.81065i −0.139973 0.101696i 0.515595 0.856832i \(-0.327571\pi\)
−0.655568 + 0.755136i \(0.727571\pi\)
\(318\) −9.96858 30.3160i −0.559010 1.70004i
\(319\) −1.94504 + 2.67712i −0.108902 + 0.149890i
\(320\) 16.0031 + 7.99387i 0.894598 + 0.446871i
\(321\) 11.8351 27.8265i 0.660569 1.55313i
\(322\) −6.19929 14.4342i −0.345473 0.804387i
\(323\) 10.7358 3.48826i 0.597353 0.194092i
\(324\) −2.60537 17.8104i −0.144743 0.989469i
\(325\) −10.4225 + 10.7928i −0.578138 + 0.598677i
\(326\) 24.5731 + 5.56356i 1.36098 + 0.308137i
\(327\) −20.5859 + 23.6473i −1.13840 + 1.30770i
\(328\) 0.173431 4.37225i 0.00957614 0.241417i
\(329\) 16.4026 + 22.5762i 0.904304 + 1.24467i
\(330\) 3.22164 + 5.11550i 0.177346 + 0.281599i
\(331\) −2.71648 + 3.73892i −0.149311 + 0.205510i −0.877121 0.480270i \(-0.840539\pi\)
0.727809 + 0.685780i \(0.240539\pi\)
\(332\) −5.73423 + 12.0143i −0.314707 + 0.659371i
\(333\) −8.39794 17.2808i −0.460204 0.946981i
\(334\) 15.9477 + 9.49058i 0.872619 + 0.519301i
\(335\) 0.248888 3.55921i 0.0135982 0.194460i
\(336\) 17.8007 + 0.643239i 0.971109 + 0.0350916i
\(337\) 21.9091 + 7.11871i 1.19347 + 0.387781i 0.837354 0.546662i \(-0.184102\pi\)
0.356114 + 0.934443i \(0.384102\pi\)
\(338\) −2.88963 + 4.85565i −0.157175 + 0.264112i
\(339\) 1.16935 1.34325i 0.0635106 0.0729555i
\(340\) −1.73912 15.2983i −0.0943168 0.829664i
\(341\) −7.57382 2.46088i −0.410146 0.133264i
\(342\) 3.16733 + 13.5453i 0.171270 + 0.732444i
\(343\) 18.9996 1.02588
\(344\) 7.44411 + 26.4328i 0.401360 + 1.42516i
\(345\) −7.58614 14.9150i −0.408424 0.802994i
\(346\) −10.5302 + 4.52257i −0.566107 + 0.243135i
\(347\) −8.75552 12.0509i −0.470021 0.646928i 0.506528 0.862224i \(-0.330929\pi\)
−0.976549 + 0.215295i \(0.930929\pi\)
\(348\) 4.13210 + 9.52826i 0.221504 + 0.510768i
\(349\) 14.8560 0.795226 0.397613 0.917553i \(-0.369839\pi\)
0.397613 + 0.917553i \(0.369839\pi\)
\(350\) −16.9996 6.44306i −0.908667 0.344396i
\(351\) −0.782762 15.5727i −0.0417808 0.831211i
\(352\) 4.47510 4.35400i 0.238524 0.232069i
\(353\) 8.40220 6.10456i 0.447204 0.324913i −0.341287 0.939959i \(-0.610863\pi\)
0.788491 + 0.615046i \(0.210863\pi\)
\(354\) 22.8854 + 16.5042i 1.21634 + 0.877189i
\(355\) 23.3125 + 9.41889i 1.23730 + 0.499903i
\(356\) 18.0344 9.78605i 0.955823 0.518660i
\(357\) −7.88679 13.1470i −0.417413 0.695814i
\(358\) −13.1677 15.0187i −0.695937 0.793764i
\(359\) −1.48956 + 4.58440i −0.0786160 + 0.241955i −0.982639 0.185529i \(-0.940600\pi\)
0.904023 + 0.427484i \(0.140600\pi\)
\(360\) 18.9658 0.545258i 0.999587 0.0287376i
\(361\) 2.54928 + 7.84589i 0.134173 + 0.412942i
\(362\) −17.9745 + 30.2038i −0.944719 + 1.58748i
\(363\) −16.5110 + 3.79947i −0.866601 + 0.199421i
\(364\) 15.2973 + 2.01783i 0.801798 + 0.105763i
\(365\) 17.7769 + 14.9166i 0.930484 + 0.780771i
\(366\) −4.76152 + 0.0167878i −0.248889 + 0.000877510i
\(367\) 10.4183 + 7.56936i 0.543832 + 0.395117i 0.825506 0.564393i \(-0.190890\pi\)
−0.281674 + 0.959510i \(0.590890\pi\)
\(368\) −13.4362 + 10.8693i −0.700410 + 0.566600i
\(369\) −2.02859 4.17431i −0.105604 0.217306i
\(370\) 19.1211 6.67467i 0.994058 0.347000i
\(371\) 27.0987 19.6884i 1.40690 1.02217i
\(372\) −18.7352 + 16.5434i −0.971374 + 0.857733i
\(373\) −27.0471 + 8.78812i −1.40044 + 0.455032i −0.909334 0.416066i \(-0.863409\pi\)
−0.491109 + 0.871098i \(0.663409\pi\)
\(374\) −5.24134 1.18668i −0.271023 0.0613619i
\(375\) −18.5147 5.67501i −0.956095 0.293056i
\(376\) 19.0152 24.1021i 0.980636 1.24297i
\(377\) 2.78008 + 8.55620i 0.143181 + 0.440666i
\(378\) 16.9633 8.31773i 0.872500 0.427818i
\(379\) −16.6749 22.9510i −0.856531 1.17891i −0.982386 0.186865i \(-0.940167\pi\)
0.125855 0.992049i \(-0.459833\pi\)
\(380\) −14.5693 + 1.65624i −0.747388 + 0.0849636i
\(381\) −2.39504 + 27.1527i −0.122702 + 1.39107i
\(382\) 20.6209 + 4.66874i 1.05506 + 0.238874i
\(383\) 9.67456 13.3159i 0.494347 0.680410i −0.486835 0.873494i \(-0.661849\pi\)
0.981182 + 0.193084i \(0.0618488\pi\)
\(384\) −4.62742 19.0417i −0.236142 0.971719i
\(385\) −4.07869 + 4.86078i −0.207869 + 0.247728i
\(386\) 22.7566 2.08816i 1.15828 0.106285i
\(387\) 20.2033 + 20.9809i 1.02699 + 1.06652i
\(388\) −14.2951 13.5723i −0.725722 0.689030i
\(389\) 7.00832 2.27714i 0.355336 0.115456i −0.125909 0.992042i \(-0.540185\pi\)
0.481245 + 0.876586i \(0.340185\pi\)
\(390\) 16.3997 + 1.08871i 0.830433 + 0.0551291i
\(391\) 14.1468 + 4.59658i 0.715436 + 0.232459i
\(392\) −0.299032 1.06181i −0.0151034 0.0536296i
\(393\) −2.56330 4.27295i −0.129302 0.215542i
\(394\) 23.7238 + 27.0586i 1.19519 + 1.36319i
\(395\) −1.30485 + 3.22961i −0.0656542 + 0.162499i
\(396\) 2.00199 6.31259i 0.100604 0.317220i
\(397\) −12.8771 17.7238i −0.646281 0.889530i 0.352650 0.935755i \(-0.385281\pi\)
−0.998931 + 0.0462254i \(0.985281\pi\)
\(398\) 11.1061 1.01910i 0.556698 0.0510831i
\(399\) −12.5206 + 7.51097i −0.626812 + 0.376019i
\(400\) −1.75314 + 19.9230i −0.0876572 + 0.996151i
\(401\) 19.3256i 0.965074i 0.875875 + 0.482537i \(0.160285\pi\)
−0.875875 + 0.482537i \(0.839715\pi\)
\(402\) −3.15387 + 2.30846i −0.157301 + 0.115135i
\(403\) −17.5158 + 12.7260i −0.872525 + 0.633926i
\(404\) 1.27240 + 6.87488i 0.0633044 + 0.342038i
\(405\) 17.4570 10.0126i 0.867447 0.497529i
\(406\) −8.19656 + 7.18638i −0.406789 + 0.356654i
\(407\) 7.06883i 0.350389i
\(408\) −11.5699 + 12.2724i −0.572795 + 0.607573i
\(409\) 3.76500 11.5875i 0.186167 0.572965i −0.813799 0.581146i \(-0.802604\pi\)
0.999967 + 0.00818176i \(0.00260436\pi\)
\(410\) 4.61885 1.61232i 0.228109 0.0796267i
\(411\) −7.93980 + 9.12057i −0.391641 + 0.449884i
\(412\) −19.4441 + 20.4795i −0.957940 + 1.00895i
\(413\) −9.15164 + 28.1658i −0.450323 + 1.38595i
\(414\) −7.11479 + 16.8934i −0.349673 + 0.830264i
\(415\) −14.8477 1.03827i −0.728844 0.0509666i
\(416\) −2.42525 16.8007i −0.118908 0.823722i
\(417\) −1.50392 0.132656i −0.0736473 0.00649617i
\(418\) −1.13014 + 4.99158i −0.0552768 + 0.244146i
\(419\) 30.6972 + 22.3028i 1.49966 + 1.08956i 0.970518 + 0.241030i \(0.0774854\pi\)
0.529140 + 0.848535i \(0.322515\pi\)
\(420\) 6.62960 + 18.7789i 0.323491 + 0.916317i
\(421\) −6.60544 + 4.79913i −0.321929 + 0.233895i −0.736998 0.675895i \(-0.763757\pi\)
0.415069 + 0.909790i \(0.363757\pi\)
\(422\) 2.86119 + 6.66191i 0.139281 + 0.324297i
\(423\) 5.70006 32.0595i 0.277146 1.55878i
\(424\) −28.9302 22.8244i −1.40498 1.10845i
\(425\) 15.1992 8.08151i 0.737269 0.392011i
\(426\) −8.60361 26.1649i −0.416846 1.26770i
\(427\) −1.54438 4.75312i −0.0747380 0.230020i
\(428\) −6.35448 34.3337i −0.307155 1.65958i
\(429\) 2.24525 5.27902i 0.108402 0.254874i
\(430\) −24.4415 + 18.5809i −1.17867 + 0.896050i
\(431\) −4.82714 3.50712i −0.232515 0.168932i 0.465427 0.885086i \(-0.345901\pi\)
−0.697942 + 0.716154i \(0.745901\pi\)
\(432\) −13.8668 15.4826i −0.667168 0.744907i
\(433\) −19.9211 + 27.4191i −0.957349 + 1.31768i −0.00916382 + 0.999958i \(0.502917\pi\)
−0.948185 + 0.317719i \(0.897083\pi\)
\(434\) −22.5436 13.4159i −1.08213 0.643982i
\(435\) −8.21644 + 8.20472i −0.393948 + 0.393386i
\(436\) −4.73439 + 35.8918i −0.226736 + 1.71891i
\(437\) 4.37755 13.4727i 0.209407 0.644487i
\(438\) −0.0896267 25.4208i −0.00428253 1.21465i
\(439\) −10.5301 + 3.42144i −0.502575 + 0.163296i −0.549323 0.835610i \(-0.685114\pi\)
0.0467479 + 0.998907i \(0.485114\pi\)
\(440\) 6.36363 + 2.86949i 0.303374 + 0.136798i
\(441\) −0.811572 0.842808i −0.0386463 0.0401337i
\(442\) −10.9859 + 9.63191i −0.522544 + 0.458143i
\(443\) 30.1522i 1.43257i 0.697805 + 0.716287i \(0.254160\pi\)
−0.697805 + 0.716287i \(0.745840\pi\)
\(444\) −19.1049 11.2784i −0.906679 0.535251i
\(445\) 17.5733 + 14.7458i 0.833055 + 0.699018i
\(446\) −18.5107 + 7.95009i −0.876509 + 0.376448i
\(447\) 1.28399 3.01891i 0.0607307 0.142790i
\(448\) 17.5451 10.7335i 0.828928 0.507112i
\(449\) 9.62451i 0.454209i 0.973870 + 0.227104i \(0.0729258\pi\)
−0.973870 + 0.227104i \(0.927074\pi\)
\(450\) 8.34351 + 19.5035i 0.393317 + 0.919403i
\(451\) 1.70753i 0.0804045i
\(452\) 0.268930 2.03878i 0.0126494 0.0958963i
\(453\) −5.99584 + 14.0974i −0.281709 + 0.662353i
\(454\) 6.30658 + 14.6840i 0.295983 + 0.689156i
\(455\) 4.17339 + 16.7387i 0.195652 + 0.784720i
\(456\) 11.6876 + 11.0186i 0.547321 + 0.515992i
\(457\) 35.2802i 1.65034i 0.564885 + 0.825169i \(0.308920\pi\)
−0.564885 + 0.825169i \(0.691080\pi\)
\(458\) −1.23434 1.40785i −0.0576770 0.0657846i
\(459\) −4.66705 + 17.2699i −0.217839 + 0.806092i
\(460\) −16.8146 9.51885i −0.783986 0.443819i
\(461\) 22.6315 7.35342i 1.05405 0.342483i 0.269796 0.962917i \(-0.413044\pi\)
0.784258 + 0.620434i \(0.213044\pi\)
\(462\) 6.95089 0.0245069i 0.323385 0.00114016i
\(463\) −9.54546 + 29.3779i −0.443615 + 1.36531i 0.440380 + 0.897811i \(0.354844\pi\)
−0.883995 + 0.467496i \(0.845156\pi\)
\(464\) 10.0543 + 6.53653i 0.466761 + 0.303451i
\(465\) −24.8892 12.7040i −1.15421 0.589136i
\(466\) 1.76105 2.95921i 0.0815790 0.137083i
\(467\) 10.1374 13.9529i 0.469101 0.645662i −0.507264 0.861791i \(-0.669343\pi\)
0.976365 + 0.216129i \(0.0693430\pi\)
\(468\) −10.6853 14.4910i −0.493926 0.669847i
\(469\) −3.31883 2.41127i −0.153250 0.111342i
\(470\) 32.8661 + 9.89610i 1.51600 + 0.456473i
\(471\) 3.18066 7.47835i 0.146557 0.344584i
\(472\) 32.5551 + 1.29134i 1.49847 + 0.0594389i
\(473\) 3.31148 + 10.1917i 0.152262 + 0.468614i
\(474\) 3.62477 1.19190i 0.166491 0.0547460i
\(475\) −7.69641 14.4749i −0.353136 0.664156i
\(476\) −15.9765 7.62531i −0.732282 0.349506i
\(477\) −38.4817 6.84191i −1.76195 0.313269i
\(478\) −14.2439 + 6.11755i −0.651501 + 0.279810i
\(479\) −24.2857 + 17.6446i −1.10964 + 0.806201i −0.982607 0.185698i \(-0.940545\pi\)
−0.127033 + 0.991898i \(0.540545\pi\)
\(480\) 17.9086 12.6206i 0.817414 0.576051i
\(481\) −15.5478 11.2961i −0.708919 0.515060i
\(482\) 1.23422 + 0.279437i 0.0562170 + 0.0127280i
\(483\) −19.1653 1.69051i −0.872051 0.0769207i
\(484\) −13.4702 + 14.1875i −0.612281 + 0.644886i
\(485\) 8.25580 20.4337i 0.374877 0.927849i
\(486\) −20.7210 7.52597i −0.939924 0.341385i
\(487\) −4.77812 + 14.7055i −0.216517 + 0.666372i 0.782525 + 0.622619i \(0.213931\pi\)
−0.999042 + 0.0437526i \(0.986069\pi\)
\(488\) −4.57270 + 3.05290i −0.206996 + 0.138198i
\(489\) 20.2609 23.2740i 0.916231 1.05249i
\(490\) 0.981821 0.746398i 0.0443542 0.0337188i
\(491\) −1.30331 + 4.01117i −0.0588174 + 0.181021i −0.976149 0.217104i \(-0.930339\pi\)
0.917331 + 0.398125i \(0.130339\pi\)
\(492\) −4.61494 2.72440i −0.208057 0.122825i
\(493\) 10.3219i 0.464874i
\(494\) 9.17294 + 10.4624i 0.412710 + 0.470724i
\(495\) 7.38681 0.505952i 0.332013 0.0227408i
\(496\) −7.48357 + 27.8732i −0.336022 + 1.25154i
\(497\) 23.3882 16.9925i 1.04910 0.762218i
\(498\) 9.63001 + 13.1568i 0.431531 + 0.589569i
\(499\) 11.8670i 0.531241i −0.964078 0.265621i \(-0.914423\pi\)
0.964078 0.265621i \(-0.0855769\pi\)
\(500\) −21.4415 + 6.34533i −0.958892 + 0.283772i
\(501\) 19.4907 11.6923i 0.870782 0.522375i
\(502\) −0.524465 5.71556i −0.0234080 0.255098i
\(503\) 13.2547 + 18.2436i 0.591000 + 0.813442i 0.994847 0.101385i \(-0.0323273\pi\)
−0.403847 + 0.914826i \(0.632327\pi\)
\(504\) 11.0240 18.8252i 0.491049 0.838543i
\(505\) −6.62910 + 4.14231i −0.294991 + 0.184330i
\(506\) −5.07099 + 4.44602i −0.225433 + 0.197650i
\(507\) 3.56000 + 5.93441i 0.158105 + 0.263557i
\(508\) 15.0116 + 27.6645i 0.666032 + 1.22741i
\(509\) 4.18815 + 1.36081i 0.185637 + 0.0603170i 0.400360 0.916358i \(-0.368885\pi\)
−0.214723 + 0.976675i \(0.568885\pi\)
\(510\) −17.5088 7.00234i −0.775304 0.310069i
\(511\) 25.3760 8.24517i 1.12257 0.364745i
\(512\) −16.5985 15.3782i −0.733557 0.679628i
\(513\) 16.4470 + 4.44466i 0.726153 + 0.196237i
\(514\) −0.436069 4.75223i −0.0192342 0.209612i
\(515\) −29.2739 11.8275i −1.28996 0.521181i
\(516\) 32.8285 + 7.31108i 1.44520 + 0.321852i
\(517\) 7.04173 9.69210i 0.309695 0.426258i
\(518\) 5.14202 22.7112i 0.225927 0.997874i
\(519\) −1.23327 + 13.9817i −0.0541348 + 0.613727i
\(520\) 16.4806 9.41121i 0.722723 0.412709i
\(521\) −1.96246 2.70110i −0.0859771 0.118337i 0.763862 0.645380i \(-0.223301\pi\)
−0.849839 + 0.527042i \(0.823301\pi\)
\(522\) 12.6744 + 1.07295i 0.554746 + 0.0469617i
\(523\) 5.17387 + 15.9235i 0.226237 + 0.696287i 0.998164 + 0.0605749i \(0.0192934\pi\)
−0.771926 + 0.635712i \(0.780707\pi\)
\(524\) −5.19256 2.47832i −0.226838 0.108266i
\(525\) −16.8144 + 14.5954i −0.733839 + 0.636996i
\(526\) −5.78232 + 25.5393i −0.252121 + 1.11357i
\(527\) 23.6245 7.67607i 1.02910 0.334375i
\(528\) −2.09886 7.35327i −0.0913413 0.320010i
\(529\) −3.50545 + 2.54686i −0.152411 + 0.110733i
\(530\) 11.8785 39.4499i 0.515969 1.71359i
\(531\) 31.0813 15.1046i 1.34881 0.655482i
\(532\) −7.26196 + 15.2152i −0.314846 + 0.659663i
\(533\) −3.75569 2.72867i −0.162677 0.118192i
\(534\) −0.0886003 25.1297i −0.00383411 1.08747i
\(535\) 33.1062 20.6870i 1.43131 0.894378i
\(536\) −1.56364 + 4.23354i −0.0675391 + 0.182861i
\(537\) −23.8397 + 5.48594i −1.02876 + 0.236736i
\(538\) −16.9988 10.1161i −0.732868 0.436135i
\(539\) −0.133023 0.409402i −0.00572970 0.0176342i
\(540\) 10.4184 20.7716i 0.448334 0.893866i
\(541\) 3.73520 11.4958i 0.160589 0.494241i −0.838096 0.545523i \(-0.816331\pi\)
0.998684 + 0.0512824i \(0.0163309\pi\)
\(542\) 3.20862 2.81317i 0.137822 0.120836i
\(543\) 22.1445 + 36.9141i 0.950310 + 1.58414i
\(544\) −3.31019 + 19.1922i −0.141923 + 0.822858i
\(545\) −39.2736 + 9.79195i −1.68229 + 0.419441i
\(546\) 11.0538 15.3276i 0.473058 0.655959i
\(547\) 23.6775 17.2027i 1.01238 0.735535i 0.0476706 0.998863i \(-0.484820\pi\)
0.964706 + 0.263328i \(0.0848202\pi\)
\(548\) −1.82601 + 13.8431i −0.0780033 + 0.591350i
\(549\) −2.74514 + 5.14516i −0.117160 + 0.219590i
\(550\) −0.375447 + 7.79559i −0.0160091 + 0.332405i
\(551\) −9.83002 −0.418773
\(552\) 3.92538 + 20.7990i 0.167075 + 0.885266i
\(553\) 2.35406 + 3.24009i 0.100105 + 0.137783i
\(554\) −9.27544 21.5966i −0.394076 0.917552i
\(555\) 3.89772 24.4961i 0.165449 1.03980i
\(556\) −1.53227 + 0.831456i −0.0649826 + 0.0352616i
\(557\) 24.2322 1.02675 0.513375 0.858164i \(-0.328395\pi\)
0.513375 + 0.858164i \(0.328395\pi\)
\(558\) 6.96987 + 29.8070i 0.295058 + 1.26183i
\(559\) 27.7083 + 9.00297i 1.17194 + 0.380785i
\(560\) 18.3582 + 13.8483i 0.775775 + 0.585199i
\(561\) −4.32157 + 4.96425i −0.182457 + 0.209591i
\(562\) −17.3892 10.3485i −0.733521 0.436523i
\(563\) 2.48909 + 0.808756i 0.104903 + 0.0340850i 0.360998 0.932567i \(-0.382436\pi\)
−0.256095 + 0.966652i \(0.582436\pi\)
\(564\) −14.9596 34.4956i −0.629914 1.45253i
\(565\) 2.23088 0.556218i 0.0938538 0.0234003i
\(566\) −21.3713 + 35.9116i −0.898301 + 1.50948i
\(567\) 0.873430 23.1224i 0.0366806 0.971050i
\(568\) −24.9689 19.6991i −1.04767 0.826556i
\(569\) 9.45200 13.0096i 0.396249 0.545389i −0.563549 0.826083i \(-0.690564\pi\)
0.959797 + 0.280693i \(0.0905644\pi\)
\(570\) −6.66867 + 16.6745i −0.279320 + 0.698418i
\(571\) 5.15218 + 7.09137i 0.215612 + 0.296765i 0.903099 0.429432i \(-0.141286\pi\)
−0.687487 + 0.726197i \(0.741286\pi\)
\(572\) −1.20552 6.51350i −0.0504053 0.272343i
\(573\) 17.0023 19.5307i 0.710280 0.815909i
\(574\) 1.24209 5.48607i 0.0518440 0.228984i
\(575\) 3.00656 21.3924i 0.125382 0.892126i
\(576\) −23.2224 6.05967i −0.967600 0.252486i
\(577\) 29.7380 9.66247i 1.23801 0.402254i 0.384400 0.923167i \(-0.374408\pi\)
0.853610 + 0.520913i \(0.174408\pi\)
\(578\) −6.68814 + 2.87246i −0.278190 + 0.119478i
\(579\) 10.9542 25.7554i 0.455240 1.07036i
\(580\) −2.67640 + 13.1380i −0.111131 + 0.545525i
\(581\) −10.0589 + 13.8449i −0.417315 + 0.574384i
\(582\) −22.9339 + 7.54119i −0.950643 + 0.312592i
\(583\) −11.6336 8.45234i −0.481816 0.350060i
\(584\) −16.2988 24.4128i −0.674451 1.01021i
\(585\) 10.6914 17.0557i 0.442037 0.705167i
\(586\) 0.0793209 + 0.864431i 0.00327671 + 0.0357093i
\(587\) 18.7813 + 6.10240i 0.775186 + 0.251873i 0.669783 0.742557i \(-0.266387\pi\)
0.105402 + 0.994430i \(0.466387\pi\)
\(588\) −1.31873 0.293688i −0.0543835 0.0121115i
\(589\) −7.31030 22.4988i −0.301216 0.927046i
\(590\) 12.0051 + 34.3913i 0.494242 + 1.41587i
\(591\) 42.9510 9.88380i 1.76677 0.406565i
\(592\) −25.5833 + 1.32791i −1.05147 + 0.0545770i
\(593\) −21.5081 −0.883230 −0.441615 0.897205i \(-0.645594\pi\)
−0.441615 + 0.897205i \(0.645594\pi\)
\(594\) −5.64649 5.82258i −0.231678 0.238903i
\(595\) 1.38068 19.7443i 0.0566023 0.809436i
\(596\) −0.689399 3.72487i −0.0282389 0.152577i
\(597\) 5.34606 12.5696i 0.218800 0.514440i
\(598\) 1.67541 + 18.2584i 0.0685124 + 0.746642i
\(599\) −31.4351 −1.28440 −0.642202 0.766536i \(-0.721979\pi\)
−0.642202 + 0.766536i \(0.721979\pi\)
\(600\) 20.4701 + 13.4527i 0.835688 + 0.549205i
\(601\) 21.2706 0.867646 0.433823 0.900998i \(-0.357164\pi\)
0.433823 + 0.900998i \(0.357164\pi\)
\(602\) 3.22570 + 35.1534i 0.131470 + 1.43274i
\(603\) 0.659445 + 4.74120i 0.0268547 + 0.193077i
\(604\) 3.21928 + 17.3940i 0.130991 + 0.707752i
\(605\) −20.2800 8.19367i −0.824498 0.333120i
\(606\) 8.15315 + 2.61737i 0.331199 + 0.106324i
\(607\) −16.3955 −0.665474 −0.332737 0.943020i \(-0.607972\pi\)
−0.332737 + 0.943020i \(0.607972\pi\)
\(608\) 18.2777 + 3.15246i 0.741257 + 0.127849i
\(609\) 2.99399 + 13.0107i 0.121323 + 0.527219i
\(610\) −5.05033 3.50448i −0.204482 0.141892i
\(611\) −10.0648 30.9764i −0.407180 1.25317i
\(612\) 6.52172 + 19.6004i 0.263625 + 0.792301i
\(613\) −0.176354 0.0573008i −0.00712287 0.00231436i 0.305453 0.952207i \(-0.401192\pi\)
−0.312576 + 0.949893i \(0.601192\pi\)
\(614\) −1.88886 20.5846i −0.0762284 0.830729i
\(615\) 0.941525 5.91722i 0.0379660 0.238605i
\(616\) 6.67526 4.45664i 0.268954 0.179563i
\(617\) −21.4593 15.5911i −0.863918 0.627673i 0.0650304 0.997883i \(-0.479286\pi\)
−0.928948 + 0.370210i \(0.879286\pi\)
\(618\) 10.8037 + 32.8558i 0.434589 + 1.32165i
\(619\) 20.5698 28.3119i 0.826771 1.13795i −0.161744 0.986833i \(-0.551712\pi\)
0.988515 0.151120i \(-0.0482880\pi\)
\(620\) −32.0604 + 3.64464i −1.28758 + 0.146372i
\(621\) 14.0910 + 17.4772i 0.565453 + 0.701336i
\(622\) −9.13232 + 3.92220i −0.366173 + 0.157266i
\(623\) 25.0854 8.15075i 1.00503 0.326553i
\(624\) −19.5274 7.13425i −0.781723 0.285599i
\(625\) −15.3914 19.7003i −0.615658 0.788014i
\(626\) −2.78132 + 12.2845i −0.111164 + 0.490987i
\(627\) 4.72770 + 4.11564i 0.188806 + 0.164363i
\(628\) −1.70776 9.22714i −0.0681470 0.368203i
\(629\) 12.9603 + 17.8383i 0.516760 + 0.711259i
\(630\) 24.1009 + 3.74776i 0.960203 + 0.149315i
\(631\) 2.41542 3.32454i 0.0961564 0.132348i −0.758228 0.651990i \(-0.773935\pi\)
0.854384 + 0.519642i \(0.173935\pi\)
\(632\) 2.72902 3.45908i 0.108555 0.137595i
\(633\) 8.84548 + 0.780229i 0.351576 + 0.0310113i
\(634\) −2.22789 + 3.74367i −0.0884807 + 0.148680i
\(635\) −22.6197 + 26.9571i −0.897637 + 1.06976i
\(636\) −41.4058 + 17.9564i −1.64185 + 0.712016i
\(637\) −1.11305 0.361651i −0.0441005 0.0143291i
\(638\) 4.02154 + 2.39324i 0.159214 + 0.0947494i
\(639\) −33.2125 5.90506i −1.31387 0.233601i
\(640\) 9.18973 23.5701i 0.363256 0.931689i
\(641\) 2.25073 + 0.731308i 0.0888986 + 0.0288849i 0.353129 0.935575i \(-0.385118\pi\)
−0.264230 + 0.964460i \(0.585118\pi\)
\(642\) −40.7175 13.0714i −1.60699 0.515886i
\(643\) 38.7571 1.52843 0.764216 0.644960i \(-0.223126\pi\)
0.764216 + 0.644960i \(0.223126\pi\)
\(644\) −19.5265 + 10.5957i −0.769454 + 0.417530i
\(645\) 5.85584 + 37.1438i 0.230573 + 1.46254i
\(646\) −6.29985 14.6684i −0.247864 0.577119i
\(647\) 10.0605 + 13.8471i 0.395520 + 0.544386i 0.959612 0.281325i \(-0.0907740\pi\)
−0.564093 + 0.825711i \(0.690774\pi\)
\(648\) −24.7457 + 5.97071i −0.972104 + 0.234552i
\(649\) 12.7140 0.499069
\(650\) 16.5463 + 13.2833i 0.649001 + 0.521014i
\(651\) −27.5521 + 16.5282i −1.07985 + 0.647793i
\(652\) 4.65965 35.3252i 0.182486 1.38344i
\(653\) 37.2668 27.0759i 1.45836 1.05956i 0.474577 0.880214i \(-0.342601\pi\)
0.983786 0.179349i \(-0.0573990\pi\)
\(654\) 35.9627 + 25.9352i 1.40625 + 1.01415i
\(655\) 0.448738 6.41714i 0.0175336 0.250738i
\(656\) −6.17984 + 0.320768i −0.241282 + 0.0125239i
\(657\) −27.4690 14.6558i −1.07167 0.571777i
\(658\) 29.6744 26.0172i 1.15683 1.01425i
\(659\) −0.449647 + 1.38387i −0.0175158 + 0.0539080i −0.959432 0.281939i \(-0.909022\pi\)
0.941917 + 0.335847i \(0.109022\pi\)
\(660\) 6.78782 5.19809i 0.264216 0.202335i
\(661\) −3.12329 9.61249i −0.121482 0.373883i 0.871762 0.489930i \(-0.162978\pi\)
−0.993244 + 0.116047i \(0.962978\pi\)
\(662\) 5.61655 + 3.34245i 0.218293 + 0.129908i
\(663\) 4.01284 + 17.4382i 0.155846 + 0.677244i
\(664\) 17.6607 + 6.52293i 0.685369 + 0.253139i
\(665\) −18.8034 1.31489i −0.729166 0.0509892i
\(666\) −23.2512 + 14.0599i −0.900967 + 0.544811i
\(667\) −10.4795 7.61377i −0.405766 0.294806i
\(668\) 11.3047 23.6855i 0.437392 0.916420i
\(669\) −2.16794 + 24.5780i −0.0838174 + 0.950240i
\(670\) −5.04458 + 0.109435i −0.194889 + 0.00422784i
\(671\) −1.73579 + 1.26113i −0.0670095 + 0.0486852i
\(672\) −1.39445 25.1518i −0.0537922 0.970253i
\(673\) 28.3074 9.19764i 1.09117 0.354543i 0.292472 0.956274i \(-0.405522\pi\)
0.798699 + 0.601731i \(0.205522\pi\)
\(674\) 7.19402 31.7745i 0.277103 1.22391i
\(675\) 25.8770 + 2.31975i 0.996006 + 0.0892871i
\(676\) 7.21161 + 3.44198i 0.277370 + 0.132384i
\(677\) 5.31251 + 16.3502i 0.204177 + 0.628391i 0.999746 + 0.0225286i \(0.00717168\pi\)
−0.795570 + 0.605862i \(0.792828\pi\)
\(678\) −2.04281 1.47321i −0.0784537 0.0565784i
\(679\) −14.8942 20.5001i −0.571586 0.786721i
\(680\) −21.3197 + 4.42613i −0.817575 + 0.169734i
\(681\) 19.4970 + 1.71976i 0.747127 + 0.0659015i
\(682\) −2.48692 + 10.9842i −0.0952290 + 0.420607i
\(683\) −2.65684 + 3.65683i −0.101661 + 0.139925i −0.856817 0.515621i \(-0.827561\pi\)
0.755156 + 0.655546i \(0.227561\pi\)
\(684\) 18.6665 6.21095i 0.713730 0.237482i
\(685\) −15.1475 + 3.77666i −0.578754 + 0.144299i
\(686\) −2.45526 26.7571i −0.0937422 1.02159i
\(687\) −2.23473 + 0.514251i −0.0852602 + 0.0196199i
\(688\) 36.2633 13.8993i 1.38253 0.529908i
\(689\) −37.1816 + 12.0810i −1.41651 + 0.460251i
\(690\) −20.0244 + 12.6110i −0.762314 + 0.480091i
\(691\) −28.6103 9.29604i −1.08839 0.353638i −0.290764 0.956795i \(-0.593909\pi\)
−0.797623 + 0.603157i \(0.793909\pi\)
\(692\) 7.72990 + 14.2452i 0.293847 + 0.541522i
\(693\) 4.00737 7.51094i 0.152228 0.285317i
\(694\) −15.8399 + 13.8877i −0.601273 + 0.527169i
\(695\) −1.49309 1.25285i −0.0566361 0.0475234i
\(696\) 12.8846 7.05053i 0.488391 0.267250i
\(697\) 3.13066 + 4.30898i 0.118582 + 0.163214i
\(698\) −1.91979 20.9217i −0.0726653 0.791899i
\(699\) −2.16960 3.61665i −0.0820618 0.136794i
\(700\) −6.87694 + 24.7731i −0.259924 + 0.936335i
\(701\) 21.6074i 0.816100i 0.912960 + 0.408050i \(0.133791\pi\)
−0.912960 + 0.408050i \(0.866209\pi\)
\(702\) −21.8299 + 3.11477i −0.823916 + 0.117559i
\(703\) 16.9883 12.3427i 0.640725 0.465514i
\(704\) −6.71002 5.73962i −0.252893 0.216320i
\(705\) 29.7463 29.7039i 1.12031 1.11871i
\(706\) −9.68282 11.0439i −0.364418 0.415644i
\(707\) 8.98772i 0.338018i
\(708\) 20.2854 34.3622i 0.762374 1.29141i
\(709\) −9.22940 + 28.4052i −0.346618 + 1.06678i 0.614095 + 0.789232i \(0.289521\pi\)
−0.960712 + 0.277547i \(0.910479\pi\)
\(710\) 10.2520 34.0481i 0.384751 1.27780i
\(711\) 0.818060 4.60111i 0.0306797 0.172555i
\(712\) −16.1122 24.1332i −0.603830 0.904431i
\(713\) 9.63300 29.6473i 0.360759 1.11030i
\(714\) −17.4957 + 12.8059i −0.654761 + 0.479248i
\(715\) 6.28064 3.92457i 0.234883 0.146771i
\(716\) −19.4492 + 20.4849i −0.726851 + 0.765557i
\(717\) −1.66822 + 18.9126i −0.0623007 + 0.706305i
\(718\) 6.64868 + 1.50532i 0.248127 + 0.0561780i
\(719\) 5.00682 + 3.63767i 0.186723 + 0.135662i 0.677220 0.735781i \(-0.263185\pi\)
−0.490497 + 0.871443i \(0.663185\pi\)
\(720\) −3.21877 26.6391i −0.119957 0.992779i
\(721\) −29.3689 + 21.3378i −1.09376 + 0.794661i
\(722\) 10.7199 4.60405i 0.398954 0.171345i
\(723\) 1.01763 1.16897i 0.0378461 0.0434744i
\(724\) 44.8587 + 21.4103i 1.66716 + 0.795707i
\(725\) −14.7627 + 2.60302i −0.548272 + 0.0966737i
\(726\) 7.48444 + 22.7614i 0.277774 + 0.844753i
\(727\) 2.25103 + 6.92797i 0.0834862 + 0.256944i 0.984082 0.177713i \(-0.0568697\pi\)
−0.900596 + 0.434657i \(0.856870\pi\)
\(728\) 0.864882 21.8039i 0.0320547 0.808108i
\(729\) −20.1420 + 17.9806i −0.745998 + 0.665948i
\(730\) 18.7098 26.9627i 0.692480 0.997936i
\(731\) −27.0424 19.6474i −1.00020 0.726687i
\(732\) 0.638956 + 6.70346i 0.0236165 + 0.247767i
\(733\) −5.71993 + 7.87281i −0.211270 + 0.290789i −0.901480 0.432821i \(-0.857518\pi\)
0.690210 + 0.723610i \(0.257518\pi\)
\(734\) 9.31358 15.6503i 0.343771 0.577662i
\(735\) −0.235230 1.49208i −0.00867660 0.0550360i
\(736\) 17.0435 + 17.5176i 0.628231 + 0.645705i
\(737\) −0.544223 + 1.67495i −0.0200467 + 0.0616975i
\(738\) −5.61651 + 3.39628i −0.206747 + 0.125019i
\(739\) −49.8168 + 16.1865i −1.83254 + 0.595429i −0.833459 + 0.552581i \(0.813643\pi\)
−0.999082 + 0.0428478i \(0.986357\pi\)
\(740\) −11.8709 26.0656i −0.436382 0.958192i
\(741\) 16.6073 3.82163i 0.610083 0.140391i
\(742\) −31.2290 35.6188i −1.14645 1.30761i
\(743\) 33.0690i 1.21318i 0.795013 + 0.606592i \(0.207464\pi\)
−0.795013 + 0.606592i \(0.792536\pi\)
\(744\) 25.7191 + 24.2469i 0.942906 + 0.888933i
\(745\) 3.59171 2.24434i 0.131590 0.0822263i
\(746\) 15.8715 + 36.9546i 0.581096 + 1.35301i
\(747\) 19.7785 2.75095i 0.723657 0.100652i
\(748\) −0.993883 + 7.53471i −0.0363400 + 0.275496i
\(749\) 44.8853i 1.64007i
\(750\) −5.59952 + 26.8076i −0.204465 + 0.978874i
\(751\) 50.5408i 1.84426i 0.386882 + 0.922129i \(0.373552\pi\)
−0.386882 + 0.922129i \(0.626448\pi\)
\(752\) −36.4002 23.6645i −1.32738 0.862954i
\(753\) −6.46874 2.75126i −0.235734 0.100261i
\(754\) 11.6904 5.02086i 0.425739 0.182849i
\(755\) −16.7722 + 10.4804i −0.610401 + 0.381420i
\(756\) −13.9060 22.8145i −0.505755 0.829757i
\(757\) 10.2783i 0.373570i −0.982401 0.186785i \(-0.940193\pi\)
0.982401 0.186785i \(-0.0598068\pi\)
\(758\) −30.1670 + 26.4491i −1.09571 + 0.960673i
\(759\) 1.85230 + 8.04935i 0.0672342 + 0.292173i
\(760\) 4.21522 + 20.3038i 0.152902 + 0.736497i
\(761\) −47.6097 + 15.4693i −1.72585 + 0.560762i −0.992840 0.119455i \(-0.961885\pi\)
−0.733010 + 0.680218i \(0.761885\pi\)
\(762\) 38.5485 0.135911i 1.39647 0.00492354i
\(763\) −14.3812 + 44.2606i −0.520633 + 1.60234i
\(764\) 3.91021 29.6437i 0.141467 1.07247i
\(765\) −17.7131 + 14.8201i −0.640418 + 0.535820i
\(766\) −20.0029 11.9039i −0.722736 0.430105i
\(767\) 20.3173 27.9643i 0.733615 1.00973i
\(768\) −26.2184 + 8.97748i −0.946075 + 0.323947i
\(769\) 0.407444 + 0.296025i 0.0146928 + 0.0106749i 0.595107 0.803646i \(-0.297109\pi\)
−0.580415 + 0.814321i \(0.697109\pi\)
\(770\) 7.37250 + 5.11587i 0.265686 + 0.184363i
\(771\) −5.37847 2.28755i −0.193701 0.0823840i
\(772\) −5.88150 31.7782i −0.211680 1.14372i
\(773\) −1.19615 3.68136i −0.0430224 0.132409i 0.927238 0.374472i \(-0.122176\pi\)
−0.970261 +