Properties

Label 570.2.bf.a.29.34
Level $570$
Weight $2$
Character 570.29
Analytic conductor $4.551$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bf (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(40\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 29.34
Character \(\chi\) \(=\) 570.29
Dual form 570.2.bf.a.59.34

$q$-expansion

\(f(q)\) \(=\) \(q+(0.984808 - 0.173648i) q^{2} +(1.03267 - 1.39054i) q^{3} +(0.939693 - 0.342020i) q^{4} +(-0.272408 + 2.21941i) q^{5} +(0.775516 - 1.54873i) q^{6} +(1.48423 + 0.856923i) q^{7} +(0.866025 - 0.500000i) q^{8} +(-0.867188 - 2.87193i) q^{9} +O(q^{10})\) \(q+(0.984808 - 0.173648i) q^{2} +(1.03267 - 1.39054i) q^{3} +(0.939693 - 0.342020i) q^{4} +(-0.272408 + 2.21941i) q^{5} +(0.775516 - 1.54873i) q^{6} +(1.48423 + 0.856923i) q^{7} +(0.866025 - 0.500000i) q^{8} +(-0.867188 - 2.87193i) q^{9} +(0.117127 + 2.23300i) q^{10} +(0.232838 - 0.134429i) q^{11} +(0.494800 - 1.65987i) q^{12} +(2.84108 + 2.38395i) q^{13} +(1.61049 + 0.586170i) q^{14} +(2.80487 + 2.67071i) q^{15} +(0.766044 - 0.642788i) q^{16} +(-0.267187 - 1.51529i) q^{17} +(-1.35272 - 2.67771i) q^{18} +(2.37652 - 3.65406i) q^{19} +(0.503104 + 2.17874i) q^{20} +(2.72431 - 1.17897i) q^{21} +(0.205957 - 0.172818i) q^{22} +(0.801629 - 0.291769i) q^{23} +(0.199049 - 1.72058i) q^{24} +(-4.85159 - 1.20917i) q^{25} +(3.21188 + 1.85438i) q^{26} +(-4.88905 - 1.75990i) q^{27} +(1.68781 + 0.297606i) q^{28} +(-0.356949 + 2.02436i) q^{29} +(3.22602 + 2.14308i) q^{30} +(0.244922 + 0.141406i) q^{31} +(0.642788 - 0.766044i) q^{32} +(0.0535159 - 0.462590i) q^{33} +(-0.526255 - 1.44587i) q^{34} +(-2.30618 + 3.06070i) q^{35} +(-1.79715 - 2.40214i) q^{36} -9.38078 q^{37} +(1.70589 - 4.01123i) q^{38} +(6.24886 - 1.48880i) q^{39} +(0.873794 + 2.05827i) q^{40} +(-1.94015 + 1.62798i) q^{41} +(2.47819 - 1.63413i) q^{42} +(-2.01595 + 5.53877i) q^{43} +(0.172818 - 0.205957i) q^{44} +(6.61023 - 1.14231i) q^{45} +(0.738785 - 0.426538i) q^{46} +(-1.42871 + 8.10262i) q^{47} +(-0.102750 - 1.72900i) q^{48} +(-2.03137 - 3.51843i) q^{49} +(-4.98785 - 0.348333i) q^{50} +(-2.38298 - 1.19326i) q^{51} +(3.48510 + 1.26847i) q^{52} +(-1.09162 - 2.99920i) q^{53} +(-5.12037 - 0.884186i) q^{54} +(0.234926 + 0.553382i) q^{55} +1.71385 q^{56} +(-2.62695 - 7.07807i) q^{57} +2.05559i q^{58} +(-2.44329 - 13.8566i) q^{59} +(3.54915 + 1.55033i) q^{60} +(-1.11216 + 0.404792i) q^{61} +(0.265756 + 0.0967274i) q^{62} +(1.17391 - 5.00573i) q^{63} +(0.500000 - 0.866025i) q^{64} +(-6.06489 + 5.65612i) q^{65} +(-0.0276250 - 0.464855i) q^{66} +(0.393781 - 2.23324i) q^{67} +(-0.769333 - 1.33252i) q^{68} +(0.422102 - 1.41600i) q^{69} +(-1.73966 + 3.41466i) q^{70} +(2.24601 + 0.817480i) q^{71} +(-2.18697 - 2.05357i) q^{72} +(4.67909 + 5.57633i) q^{73} +(-9.23826 + 1.62895i) q^{74} +(-6.69148 + 5.49764i) q^{75} +(0.983433 - 4.24651i) q^{76} +0.460781 q^{77} +(5.89540 - 2.55128i) q^{78} +(3.38643 + 4.03579i) q^{79} +(1.21793 + 1.87527i) q^{80} +(-7.49597 + 4.98101i) q^{81} +(-1.62798 + 1.94015i) q^{82} +(-7.43387 + 12.8758i) q^{83} +(2.15678 - 2.03963i) q^{84} +(3.43584 - 0.180220i) q^{85} +(-1.02352 + 5.80469i) q^{86} +(2.44634 + 2.58684i) q^{87} +(0.134429 - 0.232838i) q^{88} +(-10.6592 - 8.94412i) q^{89} +(6.31144 - 2.27281i) q^{90} +(2.17397 + 5.97292i) q^{91} +(0.653494 - 0.548347i) q^{92} +(0.449554 - 0.194548i) q^{93} +8.22761i q^{94} +(7.46249 + 6.26987i) q^{95} +(-0.401426 - 1.68489i) q^{96} +(-1.04425 - 5.92225i) q^{97} +(-2.61147 - 3.11223i) q^{98} +(-0.587984 - 0.552118i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + O(q^{10}) \) \( 240q - 30q^{15} + 48q^{19} + 12q^{25} - 48q^{39} + 36q^{45} - 72q^{46} + 216q^{49} - 180q^{51} + 36q^{54} + 60q^{55} + 6q^{60} - 72q^{61} + 120q^{64} - 156q^{66} + 48q^{79} - 120q^{81} - 108q^{84} - 48q^{85} - 36q^{90} - 24q^{91} - 216q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{17}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.984808 0.173648i 0.696364 0.122788i
\(3\) 1.03267 1.39054i 0.596212 0.802827i
\(4\) 0.939693 0.342020i 0.469846 0.171010i
\(5\) −0.272408 + 2.21941i −0.121825 + 0.992552i
\(6\) 0.775516 1.54873i 0.316603 0.632268i
\(7\) 1.48423 + 0.856923i 0.560988 + 0.323887i 0.753542 0.657400i \(-0.228344\pi\)
−0.192554 + 0.981286i \(0.561677\pi\)
\(8\) 0.866025 0.500000i 0.306186 0.176777i
\(9\) −0.867188 2.87193i −0.289063 0.957310i
\(10\) 0.117127 + 2.23300i 0.0370389 + 0.706136i
\(11\) 0.232838 0.134429i 0.0702032 0.0405318i −0.464488 0.885580i \(-0.653761\pi\)
0.534691 + 0.845048i \(0.320428\pi\)
\(12\) 0.494800 1.65987i 0.142836 0.479164i
\(13\) 2.84108 + 2.38395i 0.787973 + 0.661188i 0.945243 0.326368i \(-0.105825\pi\)
−0.157270 + 0.987556i \(0.550269\pi\)
\(14\) 1.61049 + 0.586170i 0.430421 + 0.156661i
\(15\) 2.80487 + 2.67071i 0.724214 + 0.689575i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) −0.267187 1.51529i −0.0648023 0.367512i −0.999913 0.0131574i \(-0.995812\pi\)
0.935111 0.354354i \(-0.115299\pi\)
\(18\) −1.35272 2.67771i −0.318839 0.631143i
\(19\) 2.37652 3.65406i 0.545210 0.838299i
\(20\) 0.503104 + 2.17874i 0.112497 + 0.487180i
\(21\) 2.72431 1.17897i 0.594493 0.257271i
\(22\) 0.205957 0.172818i 0.0439102 0.0368450i
\(23\) 0.801629 0.291769i 0.167151 0.0608381i −0.257089 0.966388i \(-0.582763\pi\)
0.424240 + 0.905550i \(0.360541\pi\)
\(24\) 0.199049 1.72058i 0.0406307 0.351211i
\(25\) −4.85159 1.20917i −0.970318 0.241834i
\(26\) 3.21188 + 1.85438i 0.629902 + 0.363674i
\(27\) −4.88905 1.75990i −0.940897 0.338692i
\(28\) 1.68781 + 0.297606i 0.318966 + 0.0562423i
\(29\) −0.356949 + 2.02436i −0.0662838 + 0.375914i 0.933563 + 0.358413i \(0.116682\pi\)
−0.999847 + 0.0175008i \(0.994429\pi\)
\(30\) 3.22602 + 2.14308i 0.588988 + 0.391271i
\(31\) 0.244922 + 0.141406i 0.0439893 + 0.0253973i 0.521833 0.853047i \(-0.325248\pi\)
−0.477844 + 0.878445i \(0.658582\pi\)
\(32\) 0.642788 0.766044i 0.113630 0.135419i
\(33\) 0.0535159 0.462590i 0.00931592 0.0805266i
\(34\) −0.526255 1.44587i −0.0902520 0.247965i
\(35\) −2.30618 + 3.06070i −0.389816 + 0.517352i
\(36\) −1.79715 2.40214i −0.299525 0.400356i
\(37\) −9.38078 −1.54219 −0.771095 0.636720i \(-0.780291\pi\)
−0.771095 + 0.636720i \(0.780291\pi\)
\(38\) 1.70589 4.01123i 0.276732 0.650707i
\(39\) 6.24886 1.48880i 1.00062 0.238398i
\(40\) 0.873794 + 2.05827i 0.138159 + 0.325441i
\(41\) −1.94015 + 1.62798i −0.303001 + 0.254248i −0.781592 0.623790i \(-0.785592\pi\)
0.478591 + 0.878038i \(0.341148\pi\)
\(42\) 2.47819 1.63413i 0.382394 0.252151i
\(43\) −2.01595 + 5.53877i −0.307429 + 0.844654i 0.685727 + 0.727859i \(0.259484\pi\)
−0.993156 + 0.116796i \(0.962738\pi\)
\(44\) 0.172818 0.205957i 0.0260534 0.0310492i
\(45\) 6.61023 1.14231i 0.985395 0.170286i
\(46\) 0.738785 0.426538i 0.108928 0.0628896i
\(47\) −1.42871 + 8.10262i −0.208399 + 1.18189i 0.683602 + 0.729855i \(0.260412\pi\)
−0.892001 + 0.452033i \(0.850699\pi\)
\(48\) −0.102750 1.72900i −0.0148306 0.249560i
\(49\) −2.03137 3.51843i −0.290195 0.502633i
\(50\) −4.98785 0.348333i −0.705389 0.0492617i
\(51\) −2.38298 1.19326i −0.333684 0.167090i
\(52\) 3.48510 + 1.26847i 0.483296 + 0.175905i
\(53\) −1.09162 2.99920i −0.149946 0.411972i 0.841865 0.539688i \(-0.181458\pi\)
−0.991811 + 0.127716i \(0.959235\pi\)
\(54\) −5.12037 0.884186i −0.696794 0.120322i
\(55\) 0.234926 + 0.553382i 0.0316775 + 0.0746181i
\(56\) 1.71385 0.229022
\(57\) −2.62695 7.07807i −0.347948 0.937514i
\(58\) 2.05559i 0.269912i
\(59\) −2.44329 13.8566i −0.318089 1.80397i −0.554352 0.832283i \(-0.687034\pi\)
0.236263 0.971689i \(-0.424077\pi\)
\(60\) 3.54915 + 1.55033i 0.458194 + 0.200146i
\(61\) −1.11216 + 0.404792i −0.142397 + 0.0518284i −0.412236 0.911077i \(-0.635252\pi\)
0.269838 + 0.962906i \(0.413030\pi\)
\(62\) 0.265756 + 0.0967274i 0.0337511 + 0.0122844i
\(63\) 1.17391 5.00573i 0.147899 0.630663i
\(64\) 0.500000 0.866025i 0.0625000 0.108253i
\(65\) −6.06489 + 5.65612i −0.752258 + 0.701555i
\(66\) −0.0276250 0.464855i −0.00340041 0.0572197i
\(67\) 0.393781 2.23324i 0.0481080 0.272834i −0.951260 0.308391i \(-0.900209\pi\)
0.999368 + 0.0355570i \(0.0113205\pi\)
\(68\) −0.769333 1.33252i −0.0932953 0.161592i
\(69\) 0.422102 1.41600i 0.0508151 0.170466i
\(70\) −1.73966 + 3.41466i −0.207930 + 0.408130i
\(71\) 2.24601 + 0.817480i 0.266552 + 0.0970170i 0.471839 0.881685i \(-0.343590\pi\)
−0.205287 + 0.978702i \(0.565813\pi\)
\(72\) −2.18697 2.05357i −0.257737 0.242016i
\(73\) 4.67909 + 5.57633i 0.547646 + 0.652660i 0.966884 0.255217i \(-0.0821469\pi\)
−0.419237 + 0.907877i \(0.637702\pi\)
\(74\) −9.23826 + 1.62895i −1.07393 + 0.189362i
\(75\) −6.69148 + 5.49764i −0.772666 + 0.634813i
\(76\) 0.983433 4.24651i 0.112807 0.487108i
\(77\) 0.460781 0.0525108
\(78\) 5.89540 2.55128i 0.667522 0.288876i
\(79\) 3.38643 + 4.03579i 0.381004 + 0.454062i 0.922131 0.386878i \(-0.126447\pi\)
−0.541127 + 0.840941i \(0.682002\pi\)
\(80\) 1.21793 + 1.87527i 0.136169 + 0.209662i
\(81\) −7.49597 + 4.98101i −0.832885 + 0.553446i
\(82\) −1.62798 + 1.94015i −0.179780 + 0.214254i
\(83\) −7.43387 + 12.8758i −0.815973 + 1.41331i 0.0926542 + 0.995698i \(0.470465\pi\)
−0.908627 + 0.417608i \(0.862868\pi\)
\(84\) 2.15678 2.03963i 0.235324 0.222542i
\(85\) 3.43584 0.180220i 0.372669 0.0195476i
\(86\) −1.02352 + 5.80469i −0.110369 + 0.625936i
\(87\) 2.44634 + 2.58684i 0.262275 + 0.277339i
\(88\) 0.134429 0.232838i 0.0143302 0.0248206i
\(89\) −10.6592 8.94412i −1.12987 0.948075i −0.130811 0.991407i \(-0.541758\pi\)
−0.999061 + 0.0433325i \(0.986203\pi\)
\(90\) 6.31144 2.27281i 0.665285 0.239575i
\(91\) 2.17397 + 5.97292i 0.227893 + 0.626132i
\(92\) 0.653494 0.548347i 0.0681315 0.0571691i
\(93\) 0.449554 0.194548i 0.0466166 0.0201737i
\(94\) 8.22761i 0.848613i
\(95\) 7.46249 + 6.26987i 0.765635 + 0.643275i
\(96\) −0.401426 1.68489i −0.0409704 0.171963i
\(97\) −1.04425 5.92225i −0.106028 0.601314i −0.990805 0.135299i \(-0.956801\pi\)
0.884777 0.466015i \(-0.154311\pi\)
\(98\) −2.61147 3.11223i −0.263799 0.314383i
\(99\) −0.587984 0.552118i −0.0590947 0.0554900i
\(100\) −4.97256 + 0.523090i −0.497256 + 0.0523090i
\(101\) 3.25434 3.87837i 0.323819 0.385913i −0.579435 0.815018i \(-0.696727\pi\)
0.903254 + 0.429106i \(0.141171\pi\)
\(102\) −2.55399 0.761332i −0.252883 0.0753831i
\(103\) 4.75810 + 8.24127i 0.468829 + 0.812036i 0.999365 0.0356262i \(-0.0113426\pi\)
−0.530536 + 0.847663i \(0.678009\pi\)
\(104\) 3.65242 + 0.644020i 0.358149 + 0.0631513i
\(105\) 1.87449 + 6.36752i 0.182931 + 0.621407i
\(106\) −1.59584 2.76408i −0.155002 0.268471i
\(107\) 12.2975 + 7.09995i 1.18884 + 0.686378i 0.958043 0.286623i \(-0.0925328\pi\)
0.230799 + 0.973002i \(0.425866\pi\)
\(108\) −5.19612 + 0.0183905i −0.499997 + 0.00176963i
\(109\) −5.71119 + 15.6914i −0.547033 + 1.50296i 0.290664 + 0.956825i \(0.406124\pi\)
−0.837697 + 0.546136i \(0.816098\pi\)
\(110\) 0.327451 + 0.504181i 0.0312212 + 0.0480717i
\(111\) −9.68724 + 13.0443i −0.919472 + 1.23811i
\(112\) 1.68781 0.297606i 0.159483 0.0281212i
\(113\) 7.39539i 0.695699i −0.937550 0.347850i \(-0.886912\pi\)
0.937550 0.347850i \(-0.113088\pi\)
\(114\) −3.81614 6.51438i −0.357414 0.610127i
\(115\) 0.429186 + 1.85863i 0.0400218 + 0.173318i
\(116\) 0.356949 + 2.02436i 0.0331419 + 0.187957i
\(117\) 4.38278 10.2267i 0.405188 0.945459i
\(118\) −4.81234 13.2218i −0.443011 1.21716i
\(119\) 0.901920 2.47800i 0.0826789 0.227158i
\(120\) 3.76444 + 0.910471i 0.343645 + 0.0831142i
\(121\) −5.46386 + 9.46368i −0.496714 + 0.860334i
\(122\) −1.02497 + 0.591767i −0.0927964 + 0.0535761i
\(123\) 0.260233 + 4.37902i 0.0234644 + 0.394843i
\(124\) 0.278515 + 0.0491098i 0.0250114 + 0.00441019i
\(125\) 4.00526 10.4383i 0.358242 0.933629i
\(126\) 0.286842 5.13353i 0.0255539 0.457331i
\(127\) 1.23824 + 1.03901i 0.109876 + 0.0921972i 0.696071 0.717973i \(-0.254930\pi\)
−0.586194 + 0.810170i \(0.699374\pi\)
\(128\) 0.342020 0.939693i 0.0302306 0.0830579i
\(129\) 5.62006 + 8.52297i 0.494819 + 0.750405i
\(130\) −4.99058 + 6.62335i −0.437703 + 0.580906i
\(131\) −3.40772 + 0.600872i −0.297733 + 0.0524984i −0.320519 0.947242i \(-0.603857\pi\)
0.0227860 + 0.999740i \(0.492746\pi\)
\(132\) −0.107927 0.452996i −0.00939380 0.0394282i
\(133\) 6.65856 3.38699i 0.577370 0.293689i
\(134\) 2.26770i 0.195899i
\(135\) 5.23775 10.3714i 0.450794 0.892628i
\(136\) −0.989036 1.17869i −0.0848091 0.101072i
\(137\) 18.9427 6.89459i 1.61839 0.589045i 0.635314 0.772254i \(-0.280871\pi\)
0.983074 + 0.183209i \(0.0586486\pi\)
\(138\) 0.169804 1.46778i 0.0144547 0.124946i
\(139\) −14.6100 12.2593i −1.23921 1.03982i −0.997586 0.0694469i \(-0.977877\pi\)
−0.241621 0.970371i \(-0.577679\pi\)
\(140\) −1.12028 + 3.66488i −0.0946813 + 0.309738i
\(141\) 9.79161 + 10.3540i 0.824602 + 0.871964i
\(142\) 2.35384 + 0.415045i 0.197530 + 0.0348298i
\(143\) 0.981981 + 0.173150i 0.0821174 + 0.0144795i
\(144\) −2.51035 1.64261i −0.209196 0.136884i
\(145\) −4.39565 1.34367i −0.365039 0.111586i
\(146\) 5.57633 + 4.67909i 0.461500 + 0.387244i
\(147\) −6.99023 0.808683i −0.576545 0.0666990i
\(148\) −8.81505 + 3.20841i −0.724592 + 0.263730i
\(149\) −14.6019 17.4018i −1.19623 1.42561i −0.878705 0.477366i \(-0.841592\pi\)
−0.317528 0.948249i \(-0.602853\pi\)
\(150\) −5.63517 + 6.57608i −0.460110 + 0.536935i
\(151\) 10.2840i 0.836904i 0.908239 + 0.418452i \(0.137427\pi\)
−0.908239 + 0.418452i \(0.862573\pi\)
\(152\) 0.231093 4.35277i 0.0187441 0.353056i
\(153\) −4.12011 + 2.08138i −0.333091 + 0.168270i
\(154\) 0.453780 0.0800137i 0.0365667 0.00644769i
\(155\) −0.380557 + 0.505064i −0.0305671 + 0.0405677i
\(156\) 5.36281 3.53625i 0.429368 0.283126i
\(157\) −3.29903 + 9.06402i −0.263292 + 0.723388i 0.735649 + 0.677363i \(0.236877\pi\)
−0.998940 + 0.0460245i \(0.985345\pi\)
\(158\) 4.03579 + 3.38643i 0.321071 + 0.269410i
\(159\) −5.29778 1.57924i −0.420142 0.125242i
\(160\) 1.52507 + 1.63529i 0.120567 + 0.129281i
\(161\) 1.43983 + 0.253881i 0.113474 + 0.0200086i
\(162\) −6.51714 + 6.20700i −0.512035 + 0.487668i
\(163\) −18.7191 + 10.8075i −1.46619 + 0.846507i −0.999285 0.0377994i \(-0.987965\pi\)
−0.466907 + 0.884306i \(0.654632\pi\)
\(164\) −1.26634 + 2.19337i −0.0988849 + 0.171274i
\(165\) 1.01210 + 0.244787i 0.0787919 + 0.0190567i
\(166\) −5.08506 + 13.9711i −0.394678 + 1.08437i
\(167\) −5.05375 13.8851i −0.391071 1.07446i −0.966513 0.256616i \(-0.917392\pi\)
0.575443 0.817842i \(-0.304830\pi\)
\(168\) 1.76984 2.38317i 0.136546 0.183865i
\(169\) 0.131090 + 0.743451i 0.0100839 + 0.0571885i
\(170\) 3.35235 0.774109i 0.257113 0.0593715i
\(171\) −12.5551 3.65643i −0.960112 0.279614i
\(172\) 5.89424i 0.449431i
\(173\) 9.66856 1.70483i 0.735087 0.129616i 0.206442 0.978459i \(-0.433811\pi\)
0.528645 + 0.848843i \(0.322700\pi\)
\(174\) 2.85837 + 2.12274i 0.216693 + 0.160925i
\(175\) −6.16473 5.95213i −0.466009 0.449939i
\(176\) 0.0919547 0.252644i 0.00693135 0.0190437i
\(177\) −21.7912 10.9118i −1.63793 0.820179i
\(178\) −12.0504 6.95729i −0.903214 0.521471i
\(179\) 0.839976 + 1.45488i 0.0627827 + 0.108743i 0.895708 0.444642i \(-0.146669\pi\)
−0.832926 + 0.553385i \(0.813336\pi\)
\(180\) 5.82089 3.33425i 0.433863 0.248521i
\(181\) 15.0430 + 2.65249i 1.11814 + 0.197158i 0.702024 0.712153i \(-0.252280\pi\)
0.416116 + 0.909311i \(0.363391\pi\)
\(182\) 3.17812 + 5.50467i 0.235578 + 0.408034i
\(183\) −0.585612 + 1.96451i −0.0432897 + 0.145221i
\(184\) 0.548347 0.653494i 0.0404247 0.0481762i
\(185\) 2.55540 20.8198i 0.187877 1.53070i
\(186\) 0.408941 0.269657i 0.0299850 0.0197722i
\(187\) −0.265910 0.316899i −0.0194453 0.0231740i
\(188\) 1.42871 + 8.10262i 0.104199 + 0.590944i
\(189\) −5.74839 6.80164i −0.418134 0.494746i
\(190\) 8.43787 + 4.87877i 0.612147 + 0.353943i
\(191\) 4.72693i 0.342028i −0.985269 0.171014i \(-0.945296\pi\)
0.985269 0.171014i \(-0.0547044\pi\)
\(192\) −0.687906 1.58959i −0.0496453 0.114719i
\(193\) 7.07242 5.93447i 0.509084 0.427172i −0.351723 0.936104i \(-0.614404\pi\)
0.860807 + 0.508932i \(0.169960\pi\)
\(194\) −2.05678 5.65095i −0.147668 0.405714i
\(195\) 1.60201 + 14.2744i 0.114722 + 1.02221i
\(196\) −3.11223 2.61147i −0.222302 0.186534i
\(197\) 3.15567 5.46578i 0.224832 0.389421i −0.731437 0.681909i \(-0.761150\pi\)
0.956269 + 0.292488i \(0.0944833\pi\)
\(198\) −0.674926 0.441628i −0.0479649 0.0313851i
\(199\) 4.19757 23.8056i 0.297558 1.68754i −0.359062 0.933314i \(-0.616903\pi\)
0.656620 0.754221i \(-0.271985\pi\)
\(200\) −4.80618 + 1.37862i −0.339849 + 0.0974831i
\(201\) −2.69876 2.85377i −0.190356 0.201289i
\(202\) 2.53143 4.38456i 0.178111 0.308497i
\(203\) −2.26452 + 2.69874i −0.158938 + 0.189415i
\(204\) −2.64739 0.306270i −0.185354 0.0214432i
\(205\) −3.08465 4.74947i −0.215441 0.331718i
\(206\) 6.11689 + 7.28983i 0.426184 + 0.507907i
\(207\) −1.53310 2.04920i −0.106558 0.142430i
\(208\) 3.70876 0.257156
\(209\) 0.0621312 1.17028i 0.00429770 0.0809496i
\(210\) 2.95172 + 5.94528i 0.203688 + 0.410264i
\(211\) 15.2568 2.69019i 1.05032 0.185200i 0.378264 0.925698i \(-0.376521\pi\)
0.672059 + 0.740497i \(0.265410\pi\)
\(212\) −2.05157 2.44497i −0.140903 0.167921i
\(213\) 3.45612 2.27897i 0.236809 0.156153i
\(214\) 13.3435 + 4.85665i 0.912146 + 0.331994i
\(215\) −11.7437 5.98303i −0.800911 0.408039i
\(216\) −5.11399 + 0.920408i −0.347963 + 0.0626258i
\(217\) 0.242348 + 0.419759i 0.0164517 + 0.0284951i
\(218\) −2.89965 + 16.4447i −0.196389 + 1.11378i
\(219\) 12.5860 0.747953i 0.850486 0.0505420i
\(220\) 0.410026 + 0.439660i 0.0276440 + 0.0296419i
\(221\) 2.85327 4.94202i 0.191932 0.332436i
\(222\) −7.27495 + 14.5283i −0.488262 + 0.975077i
\(223\) 5.31883 + 1.93590i 0.356175 + 0.129637i 0.513909 0.857844i \(-0.328197\pi\)
−0.157734 + 0.987482i \(0.550419\pi\)
\(224\) 1.61049 0.586170i 0.107605 0.0391651i
\(225\) 0.734582 + 14.9820i 0.0489721 + 0.998800i
\(226\) −1.28420 7.28303i −0.0854234 0.484460i
\(227\) 13.8007i 0.915983i 0.888956 + 0.457992i \(0.151431\pi\)
−0.888956 + 0.457992i \(0.848569\pi\)
\(228\) −4.88937 5.75274i −0.323807 0.380985i
\(229\) −1.43517 −0.0948389 −0.0474194 0.998875i \(-0.515100\pi\)
−0.0474194 + 0.998875i \(0.515100\pi\)
\(230\) 0.745413 + 1.75586i 0.0491511 + 0.115778i
\(231\) 0.475834 0.640733i 0.0313076 0.0421571i
\(232\) 0.703052 + 1.93162i 0.0461576 + 0.126817i
\(233\) 11.7741 + 4.28541i 0.771345 + 0.280747i 0.697559 0.716528i \(-0.254270\pi\)
0.0737860 + 0.997274i \(0.476492\pi\)
\(234\) 2.54035 10.8324i 0.166068 0.708136i
\(235\) −17.5939 5.37812i −1.14770 0.350830i
\(236\) −7.03517 12.1853i −0.457950 0.793193i
\(237\) 9.10899 0.541322i 0.591692 0.0351626i
\(238\) 0.457917 2.59698i 0.0296823 0.168337i
\(239\) −2.10709 + 1.21653i −0.136297 + 0.0786909i −0.566598 0.823994i \(-0.691741\pi\)
0.430301 + 0.902685i \(0.358407\pi\)
\(240\) 3.86536 + 0.242950i 0.249508 + 0.0156823i
\(241\) 8.71138 10.3818i 0.561150 0.668752i −0.408640 0.912696i \(-0.633997\pi\)
0.969789 + 0.243944i \(0.0784412\pi\)
\(242\) −3.73750 + 10.2687i −0.240256 + 0.660097i
\(243\) −0.814576 + 15.5672i −0.0522551 + 0.998634i
\(244\) −0.906639 + 0.760761i −0.0580416 + 0.0487027i
\(245\) 8.36220 3.54999i 0.534242 0.226801i
\(246\) 1.01669 + 4.26730i 0.0648217 + 0.272073i
\(247\) 15.4630 4.71598i 0.983884 0.300071i
\(248\) 0.282812 0.0179586
\(249\) 10.2276 + 23.6336i 0.648148 + 1.49772i
\(250\) 2.13183 10.9752i 0.134829 0.694133i
\(251\) 7.49044 + 20.5798i 0.472792 + 1.29899i 0.915499 + 0.402320i \(0.131796\pi\)
−0.442707 + 0.896666i \(0.645982\pi\)
\(252\) −0.608944 5.10535i −0.0383599 0.321607i
\(253\) 0.147427 0.175697i 0.00926867 0.0110460i
\(254\) 1.39985 + 0.808206i 0.0878346 + 0.0507113i
\(255\) 3.29748 4.96377i 0.206496 0.310843i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) 7.45354 + 1.31426i 0.464939 + 0.0819813i 0.401210 0.915986i \(-0.368590\pi\)
0.0637288 + 0.997967i \(0.479701\pi\)
\(258\) 7.01468 + 7.41757i 0.436715 + 0.461798i
\(259\) −13.9233 8.03860i −0.865150 0.499495i
\(260\) −3.76463 + 7.38933i −0.233472 + 0.458267i
\(261\) 6.12336 0.730367i 0.379026 0.0452086i
\(262\) −3.25160 + 1.18349i −0.200885 + 0.0731161i
\(263\) −9.68843 + 8.12956i −0.597414 + 0.501290i −0.890613 0.454761i \(-0.849725\pi\)
0.293199 + 0.956051i \(0.405280\pi\)
\(264\) −0.184949 0.427373i −0.0113828 0.0263030i
\(265\) 6.95383 1.60575i 0.427170 0.0986403i
\(266\) 5.96926 4.49178i 0.365999 0.275409i
\(267\) −23.4445 + 5.58568i −1.43478 + 0.341838i
\(268\) −0.393781 2.23324i −0.0240540 0.136417i
\(269\) 21.9392 18.4092i 1.33766 1.12243i 0.355434 0.934701i \(-0.384333\pi\)
0.982222 0.187725i \(-0.0601114\pi\)
\(270\) 3.35720 11.1234i 0.204313 0.676946i
\(271\) −8.81392 3.20800i −0.535407 0.194872i 0.0601437 0.998190i \(-0.480844\pi\)
−0.595551 + 0.803317i \(0.703066\pi\)
\(272\) −1.17869 0.989036i −0.0714684 0.0599691i
\(273\) 10.5506 + 3.14507i 0.638549 + 0.190348i
\(274\) 17.4577 10.0792i 1.05466 0.608908i
\(275\) −1.29218 + 0.370653i −0.0779214 + 0.0223512i
\(276\) −0.0876533 1.47497i −0.00527611 0.0887827i
\(277\) −3.47035 + 2.00361i −0.208513 + 0.120385i −0.600620 0.799534i \(-0.705080\pi\)
0.392107 + 0.919920i \(0.371746\pi\)
\(278\) −16.5169 9.53602i −0.990616 0.571932i
\(279\) 0.193714 0.826025i 0.0115974 0.0494528i
\(280\) −0.466866 + 3.80373i −0.0279006 + 0.227317i
\(281\) −3.96398 + 1.44277i −0.236471 + 0.0860685i −0.457538 0.889190i \(-0.651268\pi\)
0.221066 + 0.975259i \(0.429046\pi\)
\(282\) 11.4408 + 8.49640i 0.681290 + 0.505953i
\(283\) 7.69224 1.35635i 0.457256 0.0806266i 0.0597241 0.998215i \(-0.480978\pi\)
0.397532 + 0.917588i \(0.369867\pi\)
\(284\) 2.39015 0.141829
\(285\) 16.4248 3.90217i 0.972919 0.231145i
\(286\) 0.997129 0.0589615
\(287\) −4.27469 + 0.753744i −0.252327 + 0.0444921i
\(288\) −2.75744 1.18174i −0.162484 0.0696345i
\(289\) 13.7501 5.00461i 0.808827 0.294389i
\(290\) −4.56220 0.559959i −0.267901 0.0328819i
\(291\) −9.31348 4.66365i −0.545966 0.273388i
\(292\) 6.30412 + 3.63969i 0.368921 + 0.212997i
\(293\) −19.3607 + 11.1779i −1.13106 + 0.653020i −0.944202 0.329366i \(-0.893165\pi\)
−0.186862 + 0.982386i \(0.559832\pi\)
\(294\) −7.02446 + 0.417444i −0.409675 + 0.0243458i
\(295\) 31.4190 1.64802i 1.82929 0.0959515i
\(296\) −8.12399 + 4.69039i −0.472197 + 0.272623i
\(297\) −1.37493 + 0.247459i −0.0797818 + 0.0143590i
\(298\) −17.4018 14.6019i −1.00806 0.845864i
\(299\) 2.97305 + 1.08210i 0.171936 + 0.0625796i
\(300\) −4.40764 + 7.45471i −0.254475 + 0.430398i
\(301\) −7.73844 + 6.49332i −0.446036 + 0.374269i
\(302\) 1.78581 + 10.1278i 0.102762 + 0.582790i
\(303\) −2.03237 8.53036i −0.116756 0.490057i
\(304\) −0.528268 4.32677i −0.0302982 0.248157i
\(305\) −0.595441 2.57861i −0.0340948 0.147651i
\(306\) −3.69609 + 2.76521i −0.211291 + 0.158077i
\(307\) −1.85340 + 1.55519i −0.105779 + 0.0887592i −0.694143 0.719837i \(-0.744217\pi\)
0.588364 + 0.808596i \(0.299772\pi\)
\(308\) 0.432992 0.157596i 0.0246720 0.00897988i
\(309\) 16.3733 + 1.89419i 0.931446 + 0.107757i
\(310\) −0.287072 + 0.563473i −0.0163046 + 0.0320031i
\(311\) −23.3442 13.4778i −1.32373 0.764254i −0.339406 0.940640i \(-0.610226\pi\)
−0.984321 + 0.176386i \(0.943559\pi\)
\(312\) 4.66727 4.41376i 0.264232 0.249880i
\(313\) 19.5355 + 3.44464i 1.10421 + 0.194702i 0.695899 0.718139i \(-0.255006\pi\)
0.408313 + 0.912842i \(0.366117\pi\)
\(314\) −1.67496 + 9.49919i −0.0945237 + 0.536070i
\(315\) 10.7900 + 3.96900i 0.607948 + 0.223628i
\(316\) 4.56253 + 2.63418i 0.256662 + 0.148184i
\(317\) 11.5302 13.7411i 0.647600 0.771779i −0.337950 0.941164i \(-0.609734\pi\)
0.985550 + 0.169385i \(0.0541780\pi\)
\(318\) −5.49153 0.635302i −0.307950 0.0356259i
\(319\) 0.189021 + 0.519331i 0.0105831 + 0.0290769i
\(320\) 1.78586 + 1.34562i 0.0998328 + 0.0752224i
\(321\) 22.5720 9.76820i 1.25984 0.545208i
\(322\) 1.46204 0.0814764
\(323\) −6.17194 2.62480i −0.343416 0.146048i
\(324\) −5.34030 + 7.24439i −0.296683 + 0.402466i
\(325\) −10.9011 15.0013i −0.604686 0.832121i
\(326\) −16.5580 + 13.8938i −0.917064 + 0.769508i
\(327\) 15.9217 + 24.1456i 0.880470 + 1.33526i
\(328\) −0.866230 + 2.37995i −0.0478296 + 0.131411i
\(329\) −9.06386 + 10.8019i −0.499707 + 0.595527i
\(330\) 1.03923 + 0.0653189i 0.0572078 + 0.00359569i
\(331\) 21.8174 12.5963i 1.19919 0.692355i 0.238819 0.971064i \(-0.423240\pi\)
0.960376 + 0.278709i \(0.0899064\pi\)
\(332\) −2.58176 + 14.6419i −0.141692 + 0.803576i
\(333\) 8.13490 + 26.9409i 0.445790 + 1.47635i
\(334\) −7.38809 12.7965i −0.404258 0.700196i
\(335\) 4.84922 + 1.48232i 0.264941 + 0.0809877i
\(336\) 1.32912 2.65429i 0.0725092 0.144803i
\(337\) −0.194977 0.0709657i −0.0106211 0.00386575i 0.336704 0.941610i \(-0.390688\pi\)
−0.347325 + 0.937745i \(0.612910\pi\)
\(338\) 0.258198 + 0.709392i 0.0140441 + 0.0385859i
\(339\) −10.2836 7.63699i −0.558526 0.414784i
\(340\) 3.16699 1.34448i 0.171754 0.0729145i
\(341\) 0.0760361 0.00411759
\(342\) −12.9993 1.42071i −0.702921 0.0768233i
\(343\) 18.9598i 1.02373i
\(344\) 1.02352 + 5.80469i 0.0551847 + 0.312968i
\(345\) 3.02770 + 1.32255i 0.163006 + 0.0712036i
\(346\) 9.22564 3.35786i 0.495973 0.180520i
\(347\) 27.1609 + 9.88575i 1.45807 + 0.530695i 0.944833 0.327551i \(-0.106223\pi\)
0.513239 + 0.858246i \(0.328446\pi\)
\(348\) 3.18356 + 1.59414i 0.170657 + 0.0854550i
\(349\) −10.8248 + 18.7491i −0.579438 + 1.00362i 0.416106 + 0.909316i \(0.363395\pi\)
−0.995544 + 0.0942999i \(0.969939\pi\)
\(350\) −7.10465 4.79121i −0.379759 0.256101i
\(351\) −9.69466 16.6552i −0.517462 0.888990i
\(352\) 0.0466866 0.264773i 0.00248841 0.0141125i
\(353\) −14.4043 24.9490i −0.766665 1.32790i −0.939362 0.342927i \(-0.888582\pi\)
0.172697 0.984975i \(-0.444752\pi\)
\(354\) −23.3549 6.96200i −1.24130 0.370026i
\(355\) −2.42616 + 4.76213i −0.128767 + 0.252748i
\(356\) −13.0754 4.75907i −0.692996 0.252230i
\(357\) −2.51437 3.81311i −0.133075 0.201811i
\(358\) 1.07985 + 1.28692i 0.0570719 + 0.0680157i
\(359\) 8.08336 1.42531i 0.426623 0.0752252i 0.0437858 0.999041i \(-0.486058\pi\)
0.382837 + 0.923816i \(0.374947\pi\)
\(360\) 5.15347 4.29439i 0.271612 0.226334i
\(361\) −7.70433 17.3679i −0.405491 0.914099i
\(362\) 15.2751 0.802841
\(363\) 7.51724 + 17.3705i 0.394553 + 0.911717i
\(364\) 4.08572 + 4.86917i 0.214150 + 0.255214i
\(365\) −13.6508 + 8.86580i −0.714515 + 0.464057i
\(366\) −0.235581 + 2.03636i −0.0123140 + 0.106442i
\(367\) 3.85915 4.59915i 0.201446 0.240074i −0.655858 0.754884i \(-0.727693\pi\)
0.857304 + 0.514810i \(0.172138\pi\)
\(368\) 0.426538 0.738785i 0.0222348 0.0385119i
\(369\) 6.35792 + 4.16021i 0.330980 + 0.216572i
\(370\) −1.09875 20.9473i −0.0571211 1.08900i
\(371\) 0.949865 5.38695i 0.0493145 0.279677i
\(372\) 0.355903 0.336572i 0.0184527 0.0174504i
\(373\) 9.09941 15.7606i 0.471149 0.816055i −0.528306 0.849054i \(-0.677173\pi\)
0.999455 + 0.0329993i \(0.0105059\pi\)
\(374\) −0.316899 0.265910i −0.0163865 0.0137499i
\(375\) −10.3787 16.3488i −0.535955 0.844247i
\(376\) 2.81401 + 7.73143i 0.145121 + 0.398718i
\(377\) −5.84008 + 4.90041i −0.300779 + 0.252384i
\(378\) −6.84215 5.70010i −0.351922 0.293182i
\(379\) 12.5834i 0.646365i 0.946337 + 0.323182i \(0.104753\pi\)
−0.946337 + 0.323182i \(0.895247\pi\)
\(380\) 9.15687 + 3.33943i 0.469737 + 0.171309i
\(381\) 2.72348 0.648870i 0.139528 0.0332426i
\(382\) −0.820822 4.65511i −0.0419969 0.238176i
\(383\) −6.53894 7.79281i −0.334124 0.398194i 0.572657 0.819795i \(-0.305913\pi\)
−0.906781 + 0.421601i \(0.861468\pi\)
\(384\) −0.953484 1.44598i −0.0486573 0.0737900i
\(385\) −0.125520 + 1.02266i −0.00639711 + 0.0521197i
\(386\) 5.93447 7.07242i 0.302056 0.359977i
\(387\) 17.6552 + 0.986503i 0.897463 + 0.0501468i
\(388\) −3.00681 5.20794i −0.152647 0.264393i
\(389\) 21.5108 + 3.79294i 1.09064 + 0.192310i 0.689917 0.723889i \(-0.257647\pi\)
0.400725 + 0.916198i \(0.368758\pi\)
\(390\) 4.05639 + 13.7793i 0.205403 + 0.697743i
\(391\) −0.656300 1.13674i −0.0331905 0.0574876i
\(392\) −3.51843 2.03137i −0.177707 0.102599i
\(393\) −2.68351 + 5.35906i −0.135365 + 0.270329i
\(394\) 2.15861 5.93072i 0.108749 0.298785i
\(395\) −9.87959 + 6.41651i −0.497096 + 0.322850i
\(396\) −0.741360 0.317719i −0.0372547 0.0159660i
\(397\) −18.4723 + 3.25716i −0.927096 + 0.163472i −0.616757 0.787154i \(-0.711554\pi\)
−0.310339 + 0.950626i \(0.600443\pi\)
\(398\) 24.1729i 1.21168i
\(399\) 2.16635 12.7566i 0.108453 0.638630i
\(400\) −4.49377 + 2.19226i −0.224689 + 0.109613i
\(401\) −0.952616 5.40255i −0.0475714 0.269791i 0.951740 0.306907i \(-0.0992940\pi\)
−0.999311 + 0.0371161i \(0.988183\pi\)
\(402\) −3.15332 2.34178i −0.157273 0.116797i
\(403\) 0.358739 + 0.985627i 0.0178701 + 0.0490976i
\(404\) 1.73160 4.75753i 0.0861503 0.236696i
\(405\) −9.01295 17.9935i −0.447857 0.894105i
\(406\) −1.76148 + 3.05097i −0.0874208 + 0.151417i
\(407\) −2.18420 + 1.26105i −0.108267 + 0.0625078i
\(408\) −2.66035 + 0.158097i −0.131707 + 0.00782699i
\(409\) 26.4803 + 4.66918i 1.30936 + 0.230876i 0.784404 0.620250i \(-0.212969\pi\)
0.524960 + 0.851127i \(0.324080\pi\)
\(410\) −3.86252 4.14167i −0.190756 0.204543i
\(411\) 9.97440 33.4604i 0.492001 1.65048i
\(412\) 7.28983 + 6.11689i 0.359144 + 0.301358i
\(413\) 8.24761 22.6601i 0.405838 1.11503i
\(414\) −1.86565 1.75185i −0.0916919 0.0860988i
\(415\) −26.5518 20.0063i −1.30337 0.982071i
\(416\) 3.65242 0.644020i 0.179075 0.0315757i
\(417\) −32.1343 + 7.65602i −1.57362 + 0.374917i
\(418\) −0.142029 1.16329i −0.00694686 0.0568981i
\(419\) 26.6623i 1.30254i 0.758847 + 0.651269i \(0.225763\pi\)
−0.758847 + 0.651269i \(0.774237\pi\)
\(420\) 3.93926 + 5.34240i 0.192216 + 0.260682i
\(421\) 18.3324 + 21.8477i 0.893466 + 1.06479i 0.997532 + 0.0702204i \(0.0223703\pi\)
−0.104066 + 0.994570i \(0.533185\pi\)
\(422\) 14.5579 5.29864i 0.708667 0.257934i
\(423\) 24.5091 2.92334i 1.19167 0.142138i
\(424\) −2.44497 2.05157i −0.118738 0.0996332i
\(425\) −0.535968 + 7.67464i −0.0259983 + 0.372275i
\(426\) 3.00787 2.84450i 0.145732 0.137816i
\(427\) −1.99758 0.352227i −0.0966696 0.0170455i
\(428\) 13.9842 + 2.46579i 0.675951 + 0.119188i
\(429\) 1.25483 1.18667i 0.0605839 0.0572932i
\(430\) −12.6042 3.85287i −0.607828 0.185802i
\(431\) 24.3191 + 20.4062i 1.17141 + 0.982930i 0.999997 0.00226871i \(-0.000722153\pi\)
0.171413 + 0.985199i \(0.445167\pi\)
\(432\) −4.87647 + 1.79446i −0.234619 + 0.0863360i
\(433\) −23.5039 + 8.55473i −1.12953 + 0.411114i −0.838121 0.545485i \(-0.816345\pi\)
−0.291407 + 0.956599i \(0.594123\pi\)
\(434\) 0.311557 + 0.371299i 0.0149552 + 0.0178229i
\(435\) −6.40768 + 4.72475i −0.307225 + 0.226534i
\(436\) 16.6984i 0.799709i
\(437\) 0.838943 3.62260i 0.0401321 0.173292i
\(438\) 12.2650 2.92213i 0.586042 0.139625i
\(439\) −34.2253 + 6.03484i −1.63348 + 0.288027i −0.913766 0.406241i \(-0.866839\pi\)
−0.719716 + 0.694268i \(0.755728\pi\)
\(440\) 0.480143 + 0.361780i 0.0228899 + 0.0172472i
\(441\) −8.34310 + 8.88508i −0.397291 + 0.423099i
\(442\) 1.95175 5.36240i 0.0928355 0.255063i
\(443\) 4.69348 + 3.93830i 0.222994 + 0.187114i 0.747440 0.664330i \(-0.231283\pi\)
−0.524446 + 0.851444i \(0.675727\pi\)
\(444\) −4.64161 + 15.5709i −0.220281 + 0.738961i
\(445\) 22.7543 21.2207i 1.07866 1.00596i
\(446\) 5.57419 + 0.982880i 0.263946 + 0.0465407i
\(447\) −39.2768 + 2.33411i −1.85773 + 0.110400i
\(448\) 1.48423 0.856923i 0.0701235 0.0404858i
\(449\) −10.6754 + 18.4903i −0.503802 + 0.872611i 0.496188 + 0.868215i \(0.334733\pi\)
−0.999990 + 0.00439613i \(0.998601\pi\)
\(450\) 3.32502 + 14.6268i 0.156743 + 0.689516i
\(451\) −0.232893 + 0.639867i −0.0109665 + 0.0301302i
\(452\) −2.52937 6.94939i −0.118972 0.326872i
\(453\) 14.3003 + 10.6200i 0.671889 + 0.498972i
\(454\) 2.39646 + 13.5910i 0.112472 + 0.637858i
\(455\) −13.8486 + 3.19785i −0.649232 + 0.149918i
\(456\) −5.81404 4.81631i −0.272268 0.225545i
\(457\) 25.3271i 1.18475i −0.805661 0.592377i \(-0.798190\pi\)
0.805661 0.592377i \(-0.201810\pi\)
\(458\) −1.41337 + 0.249215i −0.0660424 + 0.0116451i
\(459\) −1.36047 + 7.87854i −0.0635011 + 0.367739i
\(460\) 1.03899 + 1.59975i 0.0484432 + 0.0745886i
\(461\) 10.0255 27.5449i 0.466935 1.28289i −0.453240 0.891388i \(-0.649732\pi\)
0.920176 0.391506i \(-0.128046\pi\)
\(462\) 0.357343 0.713626i 0.0166251 0.0332009i
\(463\) 10.1011 + 5.83185i 0.469436 + 0.271029i 0.716004 0.698097i \(-0.245969\pi\)
−0.246568 + 0.969126i \(0.579303\pi\)
\(464\) 1.02779 + 1.78019i 0.0477141 + 0.0826433i
\(465\) 0.309320 + 1.05074i 0.0143444 + 0.0487270i
\(466\) 12.3393 + 2.17576i 0.571609 + 0.100790i
\(467\) 16.4861 + 28.5548i 0.762886 + 1.32136i 0.941357 + 0.337413i \(0.109552\pi\)
−0.178471 + 0.983945i \(0.557115\pi\)
\(468\) 0.620726 11.1090i 0.0286931 0.513512i
\(469\) 2.49818 2.97722i 0.115355 0.137475i
\(470\) −18.2605 2.24127i −0.842293 0.103382i
\(471\) 9.19705 + 13.9476i 0.423778 + 0.642670i
\(472\) −9.04423 10.7785i −0.416295 0.496121i
\(473\) 0.275182 + 1.56064i 0.0126529 + 0.0717581i
\(474\) 8.87660 2.11486i 0.407716 0.0971386i
\(475\) −15.9483 + 14.8544i −0.731757 + 0.681566i
\(476\) 2.63704i 0.120868i
\(477\) −7.66686 + 5.73593i −0.351041 + 0.262630i
\(478\) −1.86383 + 1.56394i −0.0852498 + 0.0715331i
\(479\) 12.2694 + 33.7099i 0.560604 + 1.54025i 0.818756 + 0.574142i \(0.194664\pi\)
−0.258152 + 0.966104i \(0.583114\pi\)
\(480\) 3.84882 0.431953i 0.175674 0.0197159i
\(481\) −26.6515 22.3633i −1.21520 1.01968i
\(482\) 6.77625 11.7368i 0.308650 0.534597i
\(483\) 1.83990 1.73996i 0.0837183 0.0791710i
\(484\) −1.89758 + 10.7617i −0.0862535 + 0.489168i
\(485\) 13.4284 0.704358i 0.609752 0.0319833i
\(486\) 1.90101 + 15.4721i 0.0862315 + 0.701829i
\(487\) −5.11325 + 8.85641i −0.231704 + 0.401322i −0.958310 0.285732i \(-0.907763\pi\)
0.726606 + 0.687054i \(0.241097\pi\)
\(488\) −0.760761 + 0.906639i −0.0344380 + 0.0410416i
\(489\) −4.30244 + 37.1902i −0.194563 + 1.68180i
\(490\) 7.61871 4.94814i 0.344178 0.223534i
\(491\) 5.68342 + 6.77324i 0.256489 + 0.305672i 0.878888 0.477028i \(-0.158286\pi\)
−0.622399 + 0.782701i \(0.713842\pi\)
\(492\) 1.74225 + 4.02593i 0.0785468 + 0.181503i
\(493\) 3.16286 0.142448
\(494\) 14.4091 7.32945i 0.648297 0.329767i
\(495\) 1.38555 1.15458i 0.0622758 0.0518944i
\(496\) 0.278515 0.0491098i 0.0125057 0.00220509i
\(497\) 2.63308 + 3.13799i 0.118110 + 0.140758i
\(498\) 14.1761 + 21.4985i 0.635248 + 0.963371i
\(499\) −16.4654 5.99292i −0.737093 0.268280i −0.0539286 0.998545i \(-0.517174\pi\)
−0.683164 + 0.730265i \(0.739397\pi\)
\(500\) 0.193613 11.1787i 0.00865863 0.499925i
\(501\) −24.5265 7.31125i −1.09577 0.326643i
\(502\) 10.9503 + 18.9665i 0.488735 + 0.846515i
\(503\) 3.73623 21.1892i 0.166590 0.944780i −0.780819 0.624757i \(-0.785198\pi\)
0.947410 0.320023i \(-0.103691\pi\)
\(504\) −1.48623 4.92205i −0.0662018 0.219245i
\(505\) 7.72120 + 8.27923i 0.343589 + 0.368421i
\(506\) 0.114678 0.198628i 0.00509806 0.00883010i
\(507\) 1.16917 + 0.585452i 0.0519246 + 0.0260009i
\(508\) 1.51893 + 0.552845i 0.0673916 + 0.0245285i
\(509\) −25.5723 + 9.30755i −1.13347 + 0.412550i −0.839552 0.543280i \(-0.817182\pi\)
−0.293920 + 0.955830i \(0.594960\pi\)
\(510\) 2.38544 5.46096i 0.105629 0.241815i
\(511\) 2.16639 + 12.2862i 0.0958354 + 0.543509i
\(512\) 1.00000i 0.0441942i
\(513\) −18.0497 + 13.6825i −0.796912 + 0.604095i
\(514\) 7.56853 0.333833
\(515\) −19.5869 + 8.31520i −0.863103 + 0.366411i
\(516\) 8.19615 + 6.08680i 0.360816 + 0.267956i
\(517\) 0.756568 + 2.07865i 0.0332738 + 0.0914191i
\(518\) −15.1076 5.49873i −0.663791 0.241600i
\(519\) 7.61380 15.2050i 0.334209 0.667427i
\(520\) −2.42429 + 7.93079i −0.106312 + 0.347788i
\(521\) −10.2847 17.8136i −0.450580 0.780428i 0.547842 0.836582i \(-0.315450\pi\)
−0.998422 + 0.0561538i \(0.982116\pi\)
\(522\) 5.90350 1.78258i 0.258389 0.0780215i
\(523\) 3.11314 17.6555i 0.136128 0.772021i −0.837939 0.545763i \(-0.816240\pi\)
0.974067 0.226258i \(-0.0726492\pi\)
\(524\) −2.99669 + 1.73014i −0.130911 + 0.0755816i
\(525\) −14.6428 + 2.42570i −0.639064 + 0.105866i
\(526\) −8.12956 + 9.68843i −0.354466 + 0.422436i
\(527\) 0.148831 0.408910i 0.00648319 0.0178124i
\(528\) −0.256352 0.388764i −0.0111563 0.0169188i
\(529\) −17.0615 + 14.3163i −0.741806 + 0.622449i
\(530\) 6.56935 2.78887i 0.285354 0.121141i
\(531\) −37.6763 + 19.0332i −1.63501 + 0.825971i
\(532\) 5.09858 5.46009i 0.221051 0.236725i
\(533\) −9.39314 −0.406862
\(534\) −22.1184 + 9.57192i −0.957158 + 0.414218i
\(535\) −19.1077 + 25.3591i −0.826096 + 1.09637i
\(536\) −0.775598 2.13094i −0.0335007 0.0920425i
\(537\) 2.89048 + 0.334393i 0.124734 + 0.0144301i
\(538\) 18.4092 21.9392i 0.793675 0.945865i
\(539\) −0.945956 0.546148i −0.0407452 0.0235243i
\(540\) 1.37465 11.5373i 0.0591555 0.496488i
\(541\) 2.60101 14.7510i 0.111826 0.634196i −0.876447 0.481498i \(-0.840093\pi\)
0.988273 0.152698i \(-0.0487962\pi\)
\(542\) −9.23708 1.62875i −0.396767 0.0699607i
\(543\) 19.2229 18.1788i 0.824932 0.780125i
\(544\) −1.33252 0.769333i −0.0571315 0.0329849i
\(545\) −33.2699 16.9500i −1.42512 0.726056i
\(546\) 10.9364 + 1.26521i 0.468035 + 0.0541458i
\(547\) 33.9042 12.3401i 1.44964 0.527626i 0.507149 0.861858i \(-0.330699\pi\)
0.942491 + 0.334233i \(0.108477\pi\)
\(548\) 15.4423 12.9576i 0.659661 0.553521i
\(549\) 2.12699 + 2.84301i 0.0907775 + 0.121337i
\(550\) −1.20819 + 0.589406i −0.0515172 + 0.0251324i
\(551\) 6.54883 + 6.11523i 0.278990 + 0.260518i
\(552\) −0.342447 1.43734i −0.0145755 0.0611772i
\(553\) 1.56790 + 8.89198i 0.0666737 + 0.378125i
\(554\) −3.06970 + 2.57579i −0.130419 + 0.109435i
\(555\) −26.3118 25.0534i −1.11688 1.06346i
\(556\) −17.9219 6.52302i −0.760056 0.276638i
\(557\) 16.6543 + 13.9746i 0.705665 + 0.592123i 0.923379 0.383889i \(-0.125416\pi\)
−0.217714 + 0.976013i \(0.569860\pi\)
\(558\) 0.0473335 0.847114i 0.00200379 0.0358612i
\(559\) −18.9316 + 10.9302i −0.800721 + 0.462296i
\(560\) 0.200738 + 3.82702i 0.00848274 + 0.161721i
\(561\) −0.715257 + 0.0425057i −0.0301982 + 0.00179459i
\(562\) −3.65322 + 2.10919i −0.154102 + 0.0889708i
\(563\) 18.7954 + 10.8516i 0.792134 + 0.457339i 0.840713 0.541481i \(-0.182136\pi\)
−0.0485795 + 0.998819i \(0.515469\pi\)
\(564\) 12.7424 + 6.38065i 0.536551 + 0.268674i
\(565\) 16.4134 + 2.01456i 0.690518 + 0.0847533i
\(566\) 7.33985 2.67149i 0.308517 0.112291i
\(567\) −15.3941 + 0.969517i −0.646492 + 0.0407159i
\(568\) 2.35384 0.415045i 0.0987649 0.0174149i
\(569\) −11.9807 −0.502255 −0.251128 0.967954i \(-0.580801\pi\)
−0.251128 + 0.967954i \(0.580801\pi\)
\(570\) 15.4976 6.69502i 0.649125 0.280423i
\(571\) 11.2374 0.470273 0.235136 0.971962i \(-0.424446\pi\)
0.235136 + 0.971962i \(0.424446\pi\)
\(572\) 0.981981 0.173150i 0.0410587 0.00723975i
\(573\) −6.57297 4.88135i −0.274590 0.203921i
\(574\) −4.07887 + 1.48459i −0.170249 + 0.0619654i
\(575\) −4.24197 + 0.446236i −0.176903 + 0.0186093i
\(576\) −2.92076 0.684958i −0.121698 0.0285399i
\(577\) −38.2042 22.0572i −1.59046 0.918254i −0.993227 0.116189i \(-0.962932\pi\)
−0.597236 0.802065i \(-0.703735\pi\)
\(578\) 12.6721 7.31625i 0.527091 0.304316i
\(579\) −0.948625 15.9628i −0.0394235 0.663392i
\(580\) −4.59012 + 0.240765i −0.190594 + 0.00999724i
\(581\) −22.0672 + 12.7405i −0.915502 + 0.528565i
\(582\) −9.98182 2.97553i −0.413760 0.123340i
\(583\) −0.657349 0.551581i −0.0272246 0.0228442i
\(584\) 6.84038 + 2.48969i 0.283057 + 0.103024i
\(585\) 21.5034 + 12.5130i 0.889055 + 0.517350i
\(586\) −17.1255 + 14.3700i −0.707450 + 0.593621i
\(587\) 3.47915 + 19.7312i 0.143600 + 0.814395i 0.968481 + 0.249089i \(0.0801310\pi\)
−0.824881 + 0.565307i \(0.808758\pi\)
\(588\) −6.84526 + 1.63089i −0.282294 + 0.0672567i
\(589\) 1.09877 0.558907i 0.0452739 0.0230294i
\(590\) 30.6555 7.07884i 1.26207 0.291431i
\(591\) −4.34161 10.0324i −0.178590 0.412679i
\(592\) −7.18609 + 6.02985i −0.295347 + 0.247825i
\(593\) −29.8213 + 10.8541i −1.22462 + 0.445723i −0.871750 0.489951i \(-0.837015\pi\)
−0.352865 + 0.935674i \(0.614793\pi\)
\(594\) −1.31108 + 0.482454i −0.0537941 + 0.0197953i
\(595\) 5.25403 + 2.67676i 0.215394 + 0.109737i
\(596\) −19.6731 11.3582i −0.805840 0.465252i
\(597\) −28.7679 30.4202i −1.17739 1.24502i
\(598\) 3.11579 + 0.549398i 0.127414 + 0.0224665i
\(599\) 1.77242 10.0519i 0.0724191 0.410709i −0.926950 0.375186i \(-0.877579\pi\)
0.999369 0.0355237i \(-0.0113099\pi\)
\(600\) −3.04618 + 8.10684i −0.124360 + 0.330960i
\(601\) −37.4289 21.6096i −1.52676 0.881473i −0.999495 0.0317688i \(-0.989886\pi\)
−0.527260 0.849704i \(-0.676781\pi\)
\(602\) −6.49332 + 7.73844i −0.264648 + 0.315395i
\(603\) −6.75521 + 0.805732i −0.275093 + 0.0328119i
\(604\) 3.51735 + 9.66384i 0.143119 + 0.393216i
\(605\) −19.5154 14.7045i −0.793414 0.597825i
\(606\) −3.48277 8.04785i −0.141478 0.326922i
\(607\) 27.5373 1.11770 0.558852 0.829267i \(-0.311242\pi\)
0.558852 + 0.829267i \(0.311242\pi\)
\(608\) −1.27158 4.16930i −0.0515693 0.169088i
\(609\) 1.41421 + 5.93580i 0.0573067 + 0.240531i
\(610\) −1.03416 2.43603i −0.0418721 0.0986321i
\(611\) −23.3753 + 19.6142i −0.945663 + 0.793505i
\(612\) −3.15976 + 3.36502i −0.127726 + 0.136023i
\(613\) −4.44877 + 12.2229i −0.179684 + 0.493678i −0.996535 0.0831701i \(-0.973496\pi\)
0.816851 + 0.576849i \(0.195718\pi\)
\(614\) −1.55519 + 1.85340i −0.0627622 + 0.0747971i
\(615\) −9.78974 0.615316i −0.394760 0.0248119i
\(616\) 0.399048 0.230390i 0.0160781 0.00928269i
\(617\) 1.13238 6.42203i 0.0455878 0.258541i −0.953493 0.301416i \(-0.902541\pi\)
0.999080 + 0.0428750i \(0.0136517\pi\)
\(618\) 16.4535 0.977786i 0.661857 0.0393323i
\(619\) 18.5495 + 32.1286i 0.745565 + 1.29136i 0.949930 + 0.312462i \(0.101154\pi\)
−0.204365 + 0.978895i \(0.565513\pi\)
\(620\) −0.184865 + 0.604763i −0.00742434 + 0.0242879i
\(621\) −4.43268 + 0.0156885i −0.177878 + 0.000629557i
\(622\) −25.3299 9.21934i −1.01564 0.369662i
\(623\) −8.15631 22.4093i −0.326776 0.897809i
\(624\) 3.82993 5.15717i 0.153320 0.206452i
\(625\) 22.0758 + 11.7328i 0.883032 + 0.469312i
\(626\) 19.8369 0.792841
\(627\) −1.56315 1.29490i −0.0624262 0.0517134i
\(628\) 9.64573i 0.384907i
\(629\) 2.50642 + 14.2146i 0.0999374 + 0.566773i
\(630\) 11.3153 + 2.03504i 0.450812 + 0.0810778i
\(631\) 19.1152 6.95736i 0.760963 0.276968i 0.0677517 0.997702i \(-0.478417\pi\)
0.693211 + 0.720734i \(0.256195\pi\)
\(632\) 4.95064 + 1.80188i 0.196926 + 0.0716751i
\(633\) 12.0144 23.9933i 0.477531 0.953647i
\(634\) 8.96889 15.5346i 0.356200 0.616957i
\(635\) −2.64330 + 2.46514i −0.104896 + 0.0978260i
\(636\) −5.51842 + 0.327944i −0.218820 + 0.0130038i
\(637\) 2.61648 14.8388i 0.103669 0.587934i
\(638\) 0.276330 + 0.478618i 0.0109400 + 0.0189487i
\(639\) 0.400034 7.15929i 0.0158251 0.283217i
\(640\) 1.99240 + 1.01506i 0.0787564 + 0.0401239i
\(641\) 19.3301 + 7.03558i 0.763493 + 0.277889i 0.694272 0.719713i \(-0.255726\pi\)
0.0692208 + 0.997601i \(0.477949\pi\)
\(642\) 20.5328 13.5394i 0.810366 0.534357i
\(643\) −23.4283 27.9207i −0.923921 1.10109i −0.994620 0.103589i \(-0.966967\pi\)
0.0706987 0.997498i \(-0.477477\pi\)
\(644\) 1.43983 0.253881i 0.0567372 0.0100043i
\(645\) −20.4469 + 10.1515i −0.805097 + 0.399715i
\(646\) −6.53396 1.51317i −0.257075 0.0595351i
\(647\) −41.3515 −1.62570 −0.812848 0.582476i \(-0.802084\pi\)
−0.812848 + 0.582476i \(0.802084\pi\)
\(648\) −4.00119 + 8.06167i −0.157182 + 0.316692i
\(649\) −2.43161 2.89788i −0.0954491 0.113752i
\(650\) −13.3405 12.8804i −0.523256 0.505211i
\(651\) 0.833956 + 0.0964783i 0.0326853 + 0.00378128i
\(652\) −13.8938 + 16.5580i −0.544124 + 0.648462i
\(653\) −23.8430 + 41.2973i −0.933049 + 1.61609i −0.154973 + 0.987919i \(0.549529\pi\)
−0.778076 + 0.628170i \(0.783804\pi\)
\(654\) 19.8726 + 21.0140i 0.777081 + 0.821714i
\(655\) −0.405294 7.72681i −0.0158361 0.301911i
\(656\) −0.439797 + 2.49421i −0.0171712 + 0.0973826i
\(657\) 11.9572 18.2738i 0.466493 0.712927i
\(658\) −7.05043 + 12.2117i −0.274854 + 0.476062i
\(659\) 23.9000 + 20.0544i 0.931010 + 0.781210i 0.975998 0.217777i \(-0.0698807\pi\)
−0.0449886 + 0.998988i \(0.514325\pi\)
\(660\) 1.03478 0.116134i 0.0402789 0.00452051i
\(661\) 6.43367 + 17.6764i 0.250241 + 0.687531i 0.999676 + 0.0254533i \(0.00810291\pi\)
−0.749435 + 0.662078i \(0.769675\pi\)
\(662\) 19.2987 16.1935i 0.750064 0.629378i
\(663\) −3.92557 9.07105i −0.152456 0.352290i
\(664\) 14.8677i 0.576980i
\(665\) 5.70329 + 15.7007i 0.221164 + 0.608848i
\(666\) 12.6896 + 25.1190i 0.491710 + 0.973343i
\(667\) 0.304505 + 1.72693i 0.0117905 + 0.0668670i
\(668\) −9.49794 11.3192i −0.367486 0.437953i
\(669\) 8.18453 5.39689i 0.316432 0.208656i
\(670\) 5.03295 + 0.617739i 0.194440 + 0.0238653i
\(671\) −0.204536 + 0.243757i −0.00789604 + 0.00941013i
\(672\) 0.848011 2.84476i 0.0327127 0.109739i
\(673\) 23.2018 + 40.1867i 0.894364 + 1.54908i 0.834590 + 0.550871i \(0.185705\pi\)
0.0597736 + 0.998212i \(0.480962\pi\)
\(674\) −0.204338 0.0360302i −0.00787079 0.00138783i
\(675\) 21.5916 + 14.4500i 0.831062 + 0.556180i
\(676\) 0.377460 + 0.653780i 0.0145177 + 0.0251454i
\(677\) 1.73145 + 0.999652i 0.0665450 + 0.0384197i 0.532903 0.846176i \(-0.321101\pi\)
−0.466358 + 0.884596i \(0.654434\pi\)
\(678\) −11.4535 5.73524i −0.439868 0.220261i
\(679\) 3.52500 9.68485i 0.135277 0.371671i
\(680\) 2.88541 1.87399i 0.110651 0.0718644i
\(681\) 19.1904 + 14.2515i 0.735376 + 0.546120i
\(682\) 0.0748810 0.0132035i 0.00286734 0.000505590i
\(683\) 24.0620i 0.920707i 0.887736 + 0.460354i \(0.152277\pi\)
−0.887736 + 0.460354i \(0.847723\pi\)
\(684\) −13.0485 + 0.858175i −0.498922 + 0.0328132i
\(685\) 10.1418 + 43.9199i 0.387498 + 1.67809i
\(686\) −3.29234 18.6718i −0.125702 0.712892i
\(687\) −1.48206 + 1.99566i −0.0565441 + 0.0761392i
\(688\) 2.01595 + 5.53877i 0.0768573 + 0.211164i
\(689\) 4.04856 11.1233i 0.154238 0.423765i
\(690\) 3.21136 + 0.776701i 0.122254 + 0.0295685i
\(691\) −9.19334 + 15.9233i −0.349731 + 0.605752i −0.986202 0.165549i \(-0.947060\pi\)
0.636470 + 0.771301i \(0.280394\pi\)
\(692\) 8.50239 4.90886i 0.323212 0.186607i
\(693\) −0.399584 1.32333i −0.0151789 0.0502692i
\(694\) 28.4649 + 5.01913i 1.08051 + 0.190523i
\(695\) 31.1883 29.0862i 1.18304 1.10330i
\(696\) 3.41201 + 1.01710i 0.129332 + 0.0385532i
\(697\) 2.98525 + 2.50492i 0.113074 + 0.0948806i
\(698\) −7.40460 + 20.3440i −0.280268 + 0.770030i
\(699\) 18.1177 11.9469i 0.685276 0.451872i
\(700\) −7.82870 3.48472i −0.295897 0.131710i
\(701\) −11.8330 + 2.08649i −0.446928 + 0.0788055i −0.392583 0.919717i \(-0.628418\pi\)
−0.0543454 + 0.998522i \(0.517307\pi\)
\(702\) −12.4395 14.7187i −0.469499 0.555523i
\(703\) −22.2936 + 34.2779i −0.840818 + 1.29282i
\(704\) 0.268858i 0.0101330i
\(705\) −25.6471 + 18.9111i −0.965926 + 0.712233i
\(706\) −18.5178 22.0687i −0.696928 0.830566i
\(707\) 8.15368 2.96770i 0.306651 0.111612i
\(708\) −24.2091 2.80069i −0.909832 0.105256i
\(709\) −22.7018 19.0490i −0.852583 0.715402i 0.107774 0.994175i \(-0.465628\pi\)
−0.960357 + 0.278774i \(0.910072\pi\)
\(710\) −1.56236 + 5.11108i −0.0586344 + 0.191815i
\(711\) 8.65385 13.2254i 0.324545 0.495991i
\(712\) −13.7032 2.41624i −0.513549 0.0905525i
\(713\) 0.237595 + 0.0418944i 0.00889799 + 0.00156896i
\(714\) −3.13831 3.31857i −0.117448 0.124194i
\(715\) −0.651790 + 2.13225i −0.0243756 + 0.0797418i
\(716\) 1.28692 + 1.07985i 0.0480944 + 0.0403560i
\(717\) −0.484299 + 4.18627i −0.0180865 + 0.156339i
\(718\) 7.71305 2.80732i 0.287848 0.104768i
\(719\) 11.7605 + 14.0156i 0.438592 + 0.522694i 0.939381 0.342876i \(-0.111401\pi\)
−0.500789 + 0.865570i \(0.666957\pi\)
\(720\) 4.32946 5.12403i 0.161350 0.190962i
\(721\) 16.3093i 0.607390i
\(722\) −10.6032 15.7662i −0.394610 0.586756i
\(723\) −5.44033 22.8345i −0.202328 0.849224i
\(724\) 15.0430 2.65249i 0.559070 0.0985791i
\(725\) 4.17957 9.38974i 0.155225 0.348726i
\(726\) 10.4194 + 15.8013i 0.386700 + 0.586441i
\(727\) −6.91987 + 19.0122i −0.256644 + 0.705123i 0.742725 + 0.669597i \(0.233533\pi\)
−0.999369 + 0.0355262i \(0.988689\pi\)
\(728\) 4.86917 + 4.08572i 0.180463 + 0.151427i
\(729\) 20.8055 + 17.2084i 0.770575 + 0.637349i
\(730\) −11.9039 + 11.1015i −0.440582 + 0.410887i
\(731\) 8.93148 + 1.57486i 0.330343 + 0.0582483i
\(732\) 0.121608 + 2.04633i 0.00449475 + 0.0756345i
\(733\) −21.4641 + 12.3923i −0.792795 + 0.457721i −0.840946 0.541120i \(-0.818001\pi\)
0.0481505 + 0.998840i \(0.484667\pi\)
\(734\) 3.00188 5.19941i 0.110802 0.191914i
\(735\) 3.69900 15.2939i 0.136440 0.564125i
\(736\) 0.291769 0.801629i 0.0107548 0.0295484i
\(737\) −0.208525 0.572919i −0.00768113 0.0211037i
\(738\) 6.98375 + 2.99297i 0.257075 + 0.110173i
\(739\) −3.57648 20.2832i −0.131563 0.746131i −0.977192 0.212359i \(-0.931885\pi\)
0.845629 0.533772i \(-0.179226\pi\)
\(740\) −4.71951 20.4382i −0.173492 0.751324i
\(741\) 9.41037 26.3719i 0.345699 0.968795i
\(742\) 5.47005i 0.200812i
\(743\) −19.2467 + 3.39371i −0.706093 + 0.124503i −0.515153 0.857098i \(-0.672265\pi\)
−0.190941 + 0.981602i \(0.561154\pi\)
\(744\) 0.292051 0.393260i 0.0107071 0.0144176i
\(745\) 42.5996 27.6672i 1.56073 1.01365i
\(746\) 6.22436 17.1013i 0.227890 0.626123i
\(747\) 43.4251 + 10.1838i 1.58884 + 0.372605i
\(748\) −0.358259 0.206841i −0.0130993 0.00756286i
\(749\) 12.1682 + 21.0760i 0.444617 + 0.770100i
\(750\) −13.0600 14.2981i −0.476883 0.522095i
\(751\) −0.904984 0.159573i −0.0330233 0.00582291i 0.157112 0.987581i \(-0.449782\pi\)
−0.190135 + 0.981758i \(0.560893\pi\)
\(752\) 4.11381 + 7.12532i 0.150015 + 0.259834i
\(753\) 36.3522 + 10.8364i 1.32475 + 0.394901i
\(754\) −4.90041 + 5.84008i −0.178462 + 0.212683i
\(755\) −22.8245 2.80146i −0.830670 0.101955i
\(756\) −7.72802 4.42538i −0.281065 0.160950i
\(757\) −22.7389 27.0992i −0.826459 0.984936i −1.00000 0.000109327i \(-0.999965\pi\)
0.173541 0.984827i \(-0.444479\pi\)
\(758\) 2.18508 + 12.3922i 0.0793657 + 0.450105i
\(759\) −0.0920696 0.386440i −0.00334191 0.0140269i
\(760\) 9.59764 + 1.69862i 0.348143 + 0.0616155i
\(761\) 40.6741i 1.47444i −0.675655 0.737218i \(-0.736139\pi\)
0.675655 0.737218i \(-0.263861\pi\)
\(762\) 2.56943 1.11194i 0.0930805 0.0402813i
\(763\) −21.9230 + 18.3956i −0.793668 + 0.665966i
\(764\) −1.61670 4.44186i −0.0584903 0.160701i
\(765\) −3.49710 9.71121i −0.126438 0.351109i
\(766\) −7.79281 6.53894i −0.281566 0.236262i
\(767\) 26.0918 45.1922i 0.942119 1.63180i
\(768\) −1.19009 1.25844i −0.0429437 0.0454102i
\(769\) 5.82040 33.0091i 0.209889 1.19034i −0.679669 0.733519i \(-0.737877\pi\)
0.889558 0.456822i \(-0.151012\pi\)
\(770\) 0.0539700 + 1.02892i 0.00194495 + 0.0370798i
\(771\) 9.52457 9.00723i 0.343019 0.324388i
\(772\) 4.61620 7.99549i 0.166141 0.287764i
\(773\) 18.8113 22.4185i 0.676596 0.806336i −0.313070 0.949730i \(-0.601357\pi\)
0.989666 + 0.143394i \(0.0458017\pi\)