Properties

Label 570.2.bf.a.59.34
Level $570$
Weight $2$
Character 570.59
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 59.34
Character \(\chi\) \(=\) 570.59
Dual form 570.2.bf.a.29.34

$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

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

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 −0.192554 0.981286i \(-0.561677\pi\)
0.753542 + 0.657400i \(0.228344\pi\)
\(8\) 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 0.534691 0.845048i \(-0.320428\pi\)
−0.464488 + 0.885580i \(0.653761\pi\)
\(12\) 0.494800 + 1.65987i 0.142836 + 0.479164i
\(13\) 2.84108 2.38395i 0.787973 0.661188i −0.157270 0.987556i \(-0.550269\pi\)
0.945243 + 0.326368i \(0.105825\pi\)
\(14\) 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 0.935111 + 0.354354i \(0.115299\pi\)
−0.999913 + 0.0131574i \(0.995812\pi\)
\(18\) −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 0.424240 0.905550i \(-0.360541\pi\)
−0.257089 + 0.966388i \(0.582763\pi\)
\(24\) 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 −0.999847 0.0175008i \(-0.994429\pi\)
0.933563 0.358413i \(-0.116682\pi\)
\(30\) 3.22602 2.14308i 0.588988 0.391271i
\(31\) 0.244922 0.141406i 0.0439893 0.0253973i −0.477844 0.878445i \(-0.658582\pi\)
0.521833 + 0.853047i \(0.325248\pi\)
\(32\) 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 0.478591 0.878038i \(-0.341148\pi\)
−0.781592 + 0.623790i \(0.785592\pi\)
\(42\) 2.47819 + 1.63413i 0.382394 + 0.252151i
\(43\) −2.01595 5.53877i −0.307429 0.844654i −0.993156 0.116796i \(-0.962738\pi\)
0.685727 0.727859i \(-0.259484\pi\)
\(44\) 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 −0.892001 0.452033i \(-0.850699\pi\)
0.683602 0.729855i \(-0.260412\pi\)
\(48\) −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 −0.991811 0.127716i \(-0.959235\pi\)
0.841865 + 0.539688i \(0.181458\pi\)
\(54\) −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 0.236263 + 0.971689i \(0.424077\pi\)
−0.554352 + 0.832283i \(0.687034\pi\)
\(60\) 3.54915 1.55033i 0.458194 0.200146i
\(61\) −1.11216 0.404792i −0.142397 0.0518284i 0.269838 0.962906i \(-0.413030\pi\)
−0.412236 + 0.911077i \(0.635252\pi\)
\(62\) 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 0.999368 0.0355570i \(-0.0113205\pi\)
−0.951260 + 0.308391i \(0.900209\pi\)
\(68\) −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 −0.205287 0.978702i \(-0.565813\pi\)
0.471839 + 0.881685i \(0.343590\pi\)
\(72\) −2.18697 + 2.05357i −0.257737 + 0.242016i
\(73\) 4.67909 5.57633i 0.547646 0.652660i −0.419237 0.907877i \(-0.637702\pi\)
0.966884 + 0.255217i \(0.0821469\pi\)
\(74\) −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 −0.541127 0.840941i \(-0.682002\pi\)
0.922131 + 0.386878i \(0.126447\pi\)
\(80\) 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 −0.908627 0.417608i \(-0.862868\pi\)
0.0926542 0.995698i \(-0.470465\pi\)
\(84\) 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 −0.999061 0.0433325i \(-0.986203\pi\)
−0.130811 + 0.991407i \(0.541758\pi\)
\(90\) 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 0.884777 + 0.466015i \(0.154311\pi\)
−0.990805 + 0.135299i \(0.956801\pi\)
\(98\) −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 0.903254 0.429106i \(-0.141171\pi\)
−0.579435 + 0.815018i \(0.696727\pi\)
\(102\) −2.55399 + 0.761332i −0.252883 + 0.0753831i
\(103\) 4.75810 8.24127i 0.468829 0.812036i −0.530536 0.847663i \(-0.678009\pi\)
0.999365 + 0.0356262i \(0.0113426\pi\)
\(104\) 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 0.230799 0.973002i \(-0.425866\pi\)
0.958043 + 0.286623i \(0.0925328\pi\)
\(108\) −5.19612 0.0183905i −0.499997 0.00176963i
\(109\) −5.71119 15.6914i −0.547033 1.50296i −0.837697 0.546136i \(-0.816098\pi\)
0.290664 0.956825i \(-0.406124\pi\)
\(110\) 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 \(0.113088\pi\)
−0.937550 + 0.347850i \(0.886912\pi\)
\(114\) −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 −0.586194 0.810170i \(-0.699374\pi\)
0.696071 + 0.717973i \(0.254930\pi\)
\(128\) 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 0.0227860 0.999740i \(-0.492746\pi\)
−0.320519 + 0.947242i \(0.603857\pi\)
\(132\) −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 0.983074 0.183209i \(-0.0586486\pi\)
0.635314 + 0.772254i \(0.280871\pi\)
\(138\) 0.169804 + 1.46778i 0.0144547 + 0.124946i
\(139\) −14.6100 + 12.2593i −1.23921 + 1.03982i −0.241621 + 0.970371i \(0.577679\pi\)
−0.997586 + 0.0694469i \(0.977877\pi\)
\(140\) −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 −0.317528 + 0.948249i \(0.602853\pi\)
−0.878705 + 0.477366i \(0.841592\pi\)
\(150\) −5.63517 6.57608i −0.460110 0.536935i
\(151\) 10.2840i 0.836904i −0.908239 0.418452i \(-0.862573\pi\)
0.908239 0.418452i \(-0.137427\pi\)
\(152\) 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 −0.998940 0.0460245i \(-0.985345\pi\)
0.735649 0.677363i \(-0.236877\pi\)
\(158\) 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 −0.466907 0.884306i \(-0.654632\pi\)
−0.999285 + 0.0377994i \(0.987965\pi\)
\(164\) −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 0.575443 + 0.817842i \(0.304830\pi\)
−0.966513 + 0.256616i \(0.917392\pi\)
\(168\) 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 0.528645 0.848843i \(-0.322700\pi\)
0.206442 + 0.978459i \(0.433811\pi\)
\(174\) 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 −0.832926 0.553385i \(-0.813336\pi\)
0.895708 + 0.444642i \(0.146669\pi\)
\(180\) 5.82089 + 3.33425i 0.433863 + 0.248521i
\(181\) 15.0430 2.65249i 1.11814 0.197158i 0.416116 0.909311i \(-0.363391\pi\)
0.702024 + 0.712153i \(0.252280\pi\)
\(182\) 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 \(0.0547044\pi\)
−0.985269 + 0.171014i \(0.945296\pi\)
\(192\) −0.687906 + 1.58959i −0.0496453 + 0.114719i
\(193\) 7.07242 + 5.93447i 0.509084 + 0.427172i 0.860807 0.508932i \(-0.169960\pi\)
−0.351723 + 0.936104i \(0.614404\pi\)
\(194\) −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 0.956269 0.292488i \(-0.0944833\pi\)
−0.731437 + 0.681909i \(0.761150\pi\)
\(198\) −0.674926 + 0.441628i −0.0479649 + 0.0313851i
\(199\) 4.19757 + 23.8056i 0.297558 + 1.68754i 0.656620 + 0.754221i \(0.271985\pi\)
−0.359062 + 0.933314i \(0.616903\pi\)
\(200\) −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 0.672059 0.740497i \(-0.265410\pi\)
0.378264 + 0.925698i \(0.376521\pi\)
\(212\) −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 −0.157734 0.987482i \(-0.550419\pi\)
0.513909 + 0.857844i \(0.328197\pi\)
\(224\) 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 \(-0.848569\pi\)
0.888956 0.457992i \(-0.151431\pi\)
\(228\) −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 0.0737860 0.997274i \(-0.476492\pi\)
0.697559 + 0.716528i \(0.254270\pi\)
\(234\) 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 0.430301 0.902685i \(-0.358407\pi\)
−0.566598 + 0.823994i \(0.691741\pi\)
\(240\) 3.86536 0.242950i 0.249508 0.0156823i
\(241\) 8.71138 + 10.3818i 0.561150 + 0.668752i 0.969789 0.243944i \(-0.0784412\pi\)
−0.408640 + 0.912696i \(0.633997\pi\)
\(242\) −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 −0.442707 0.896666i \(-0.645982\pi\)
0.915499 0.402320i \(-0.131796\pi\)
\(252\) −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 0.0637288 0.997967i \(-0.479701\pi\)
0.401210 + 0.915986i \(0.368590\pi\)
\(258\) 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 0.293199 0.956051i \(-0.405280\pi\)
−0.890613 + 0.454761i \(0.849725\pi\)
\(264\) −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 0.982222 + 0.187725i \(0.0601114\pi\)
0.355434 + 0.934701i \(0.384333\pi\)
\(270\) 3.35720 + 11.1234i 0.204313 + 0.676946i
\(271\) −8.81392 + 3.20800i −0.535407 + 0.194872i −0.595551 0.803317i \(-0.703066\pi\)
0.0601437 + 0.998190i \(0.480844\pi\)
\(272\) −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 0.392107 0.919920i \(-0.371746\pi\)
−0.600620 + 0.799534i \(0.705080\pi\)
\(278\) −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 0.221066 0.975259i \(-0.429046\pi\)
−0.457538 + 0.889190i \(0.651268\pi\)
\(282\) 11.4408 8.49640i 0.681290 0.505953i
\(283\) 7.69224 + 1.35635i 0.457256 + 0.0806266i 0.397532 0.917588i \(-0.369867\pi\)
0.0597241 + 0.998215i \(0.480978\pi\)
\(284\) 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 −0.186862 0.982386i \(-0.559832\pi\)
−0.944202 + 0.329366i \(0.893165\pi\)
\(294\) −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 0.588364 0.808596i \(-0.299772\pi\)
−0.694143 + 0.719837i \(0.744217\pi\)
\(308\) 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 −0.984321 0.176386i \(-0.943559\pi\)
−0.339406 + 0.940640i \(0.610226\pi\)
\(312\) 4.66727 + 4.41376i 0.264232 + 0.249880i
\(313\) 19.5355 3.44464i 1.10421 0.194702i 0.408313 0.912842i \(-0.366117\pi\)
0.695899 + 0.718139i \(0.255006\pi\)
\(314\) −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 0.985550 0.169385i \(-0.0541780\pi\)
−0.337950 + 0.941164i \(0.609734\pi\)
\(318\) −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 0.960376 0.278709i \(-0.0899064\pi\)
0.238819 + 0.971064i \(0.423240\pi\)
\(332\) −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 −0.347325 0.937745i \(-0.612910\pi\)
0.336704 + 0.941610i \(0.390688\pi\)
\(338\) 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 0.513239 0.858246i \(-0.328446\pi\)
0.944833 + 0.327551i \(0.106223\pi\)
\(348\) 3.18356 1.59414i 0.170657 0.0854550i
\(349\) −10.8248 18.7491i −0.579438 1.00362i −0.995544 0.0942999i \(-0.969939\pi\)
0.416106 0.909316i \(-0.363395\pi\)
\(350\) −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 0.172697 + 0.984975i \(0.444752\pi\)
−0.939362 + 0.342927i \(0.888582\pi\)
\(354\) −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 0.382837 0.923816i \(-0.374947\pi\)
0.0437858 + 0.999041i \(0.486058\pi\)
\(360\) 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 0.857304 0.514810i \(-0.172138\pi\)
−0.655858 + 0.754884i \(0.727693\pi\)
\(368\) 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 0.999455 0.0329993i \(-0.0105059\pi\)
−0.528306 + 0.849054i \(0.677173\pi\)
\(374\) −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 \(-0.895247\pi\)
0.946337 0.323182i \(-0.104753\pi\)
\(380\) 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 −0.906781 0.421601i \(-0.861468\pi\)
0.572657 + 0.819795i \(0.305913\pi\)
\(384\) −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 0.400725 0.916198i \(-0.368758\pi\)
0.689917 + 0.723889i \(0.257647\pi\)
\(390\) 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 −0.310339 0.950626i \(-0.600443\pi\)
−0.616757 + 0.787154i \(0.711554\pi\)
\(398\) 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 −0.999311 0.0371161i \(-0.988183\pi\)
0.951740 + 0.306907i \(0.0992940\pi\)
\(402\) −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 0.524960 0.851127i \(-0.324080\pi\)
0.784404 + 0.620250i \(0.212969\pi\)
\(410\) −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 \(-0.774237\pi\)
0.758847 0.651269i \(-0.225763\pi\)
\(420\) 3.93926 5.34240i 0.192216 0.260682i
\(421\) 18.3324 21.8477i 0.893466 1.06479i −0.104066 0.994570i \(-0.533185\pi\)
0.997532 0.0702204i \(-0.0223703\pi\)
\(422\) 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 0.171413 0.985199i \(-0.445167\pi\)
0.999997 + 0.00226871i \(0.000722153\pi\)
\(432\) −4.87647 1.79446i −0.234619 0.0863360i
\(433\) −23.5039 8.55473i −1.12953 0.411114i −0.291407 0.956599i \(-0.594123\pi\)
−0.838121 + 0.545485i \(0.816345\pi\)
\(434\) 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 −0.719716 0.694268i \(-0.755728\pi\)
−0.913766 + 0.406241i \(0.866839\pi\)
\(440\) 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 −0.524446 0.851444i \(-0.675727\pi\)
0.747440 + 0.664330i \(0.231283\pi\)
\(444\) −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 −0.999990 0.00439613i \(-0.998601\pi\)
0.496188 0.868215i \(-0.334733\pi\)
\(450\) 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 \(0.201810\pi\)
−0.805661 + 0.592377i \(0.798190\pi\)
\(458\) −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 0.920176 + 0.391506i \(0.128046\pi\)
−0.453240 + 0.891388i \(0.649732\pi\)
\(462\) 0.357343 + 0.713626i 0.0166251 + 0.0332009i
\(463\) 10.1011 5.83185i 0.469436 0.271029i −0.246568 0.969126i \(-0.579303\pi\)
0.716004 + 0.698097i \(0.245969\pi\)
\(464\) 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 −0.178471 0.983945i \(-0.557115\pi\)
0.941357 0.337413i \(-0.109552\pi\)
\(468\) 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 −0.258152 0.966104i \(-0.583114\pi\)
0.818756 0.574142i \(-0.194664\pi\)
\(480\) 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 0.726606 0.687054i \(-0.241097\pi\)
−0.958310 + 0.285732i \(0.907763\pi\)
\(488\) −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 −0.622399 0.782701i \(-0.713842\pi\)
0.878888 + 0.477028i \(0.158286\pi\)
\(492\) 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 −0.683164 0.730265i \(-0.739397\pi\)
−0.0539286 + 0.998545i \(0.517174\pi\)
\(500\) 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 0.947410 + 0.320023i \(0.103691\pi\)
−0.780819 + 0.624757i \(0.785198\pi\)
\(504\) −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 −0.293920 0.955830i \(-0.594960\pi\)
−0.839552 + 0.543280i \(0.817182\pi\)
\(510\) 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 −0.998422 0.0561538i \(-0.982116\pi\)
0.547842 + 0.836582i \(0.315450\pi\)
\(522\) 5.90350 + 1.78258i 0.258389 + 0.0780215i
\(523\) 3.11314 + 17.6555i 0.136128 + 0.772021i 0.974067 + 0.226258i \(0.0726492\pi\)
−0.837939 + 0.545763i \(0.816240\pi\)
\(524\) −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 0.988273 + 0.152698i \(0.0487962\pi\)
−0.876447 + 0.481498i \(0.840093\pi\)
\(542\) −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 0.942491 0.334233i \(-0.108477\pi\)
0.507149 + 0.861858i \(0.330699\pi\)
\(548\) 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 −0.217714 0.976013i \(-0.569860\pi\)
0.923379 + 0.383889i \(0.125416\pi\)
\(558\) 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 −0.0485795 0.998819i \(-0.515469\pi\)
0.840713 + 0.541481i \(0.182136\pi\)
\(564\) 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 −0.597236 + 0.802065i \(0.703735\pi\)
−0.993227 + 0.116189i \(0.962932\pi\)
\(578\) 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 −0.824881 0.565307i \(-0.808758\pi\)
0.968481 0.249089i \(-0.0801310\pi\)
\(588\) −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 −0.352865 0.935674i \(-0.614793\pi\)
−0.871750 + 0.489951i \(0.837015\pi\)
\(594\) −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 0.999369 + 0.0355237i \(0.0113099\pi\)
−0.926950 + 0.375186i \(0.877579\pi\)
\(600\) −3.04618 8.10684i −0.124360 0.330960i
\(601\) −37.4289 + 21.6096i −1.52676 + 0.881473i −0.527260 + 0.849704i \(0.676781\pi\)
−0.999495 + 0.0317688i \(0.989886\pi\)
\(602\) −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 0.816851 0.576849i \(-0.195718\pi\)
−0.996535 + 0.0831701i \(0.973496\pi\)
\(614\) −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 0.999080 0.0428750i \(-0.0136517\pi\)
−0.953493 + 0.301416i \(0.902541\pi\)
\(618\) 16.4535 + 0.977786i 0.661857 + 0.0393323i
\(619\) 18.5495 32.1286i 0.745565 1.29136i −0.204365 0.978895i \(-0.565513\pi\)
0.949930 0.312462i \(-0.101154\pi\)
\(620\) −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 0.693211 0.720734i \(-0.256195\pi\)
0.0677517 + 0.997702i \(0.478417\pi\)
\(632\) 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 0.0692208 0.997601i \(-0.477949\pi\)
0.694272 + 0.719713i \(0.255726\pi\)
\(642\) 20.5328 + 13.5394i 0.810366 + 0.534357i
\(643\) −23.4283 + 27.9207i −0.923921 + 1.10109i 0.0706987 + 0.997498i \(0.477477\pi\)
−0.994620 + 0.103589i \(0.966967\pi\)
\(644\) 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 −0.778076 0.628170i \(-0.783804\pi\)
−0.154973 0.987919i \(-0.549529\pi\)
\(654\) 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 −0.0449886 0.998988i \(-0.514325\pi\)
0.975998 + 0.217777i \(0.0698807\pi\)
\(660\) 1.03478 + 0.116134i 0.0402789 + 0.00452051i
\(661\) 6.43367 17.6764i 0.250241 0.687531i −0.749435 0.662078i \(-0.769675\pi\)
0.999676 0.0254533i \(-0.00810291\pi\)
\(662\) 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 0.0597736 0.998212i \(-0.480962\pi\)
0.834590 0.550871i \(-0.185705\pi\)
\(674\) −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 −0.466358 0.884596i \(-0.654434\pi\)
0.532903 + 0.846176i \(0.321101\pi\)
\(678\) −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 \(-0.847723\pi\)
0.887736 0.460354i \(-0.152277\pi\)
\(684\) −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 0.636470 0.771301i \(-0.280394\pi\)
−0.986202 + 0.165549i \(0.947060\pi\)
\(692\) 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 −0.0543454 0.998522i \(-0.517307\pi\)
−0.392583 + 0.919717i \(0.628418\pi\)
\(702\) −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 −0.960357 0.278774i \(-0.910072\pi\)
0.107774 + 0.994175i \(0.465628\pi\)
\(710\) −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 −0.500789 0.865570i \(-0.666957\pi\)
0.939381 + 0.342876i \(0.111401\pi\)
\(720\) 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 −0.999369 0.0355262i \(-0.988689\pi\)
0.742725 0.669597i \(-0.233533\pi\)
\(728\) 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 0.0481505 0.998840i \(-0.484667\pi\)
−0.840946 + 0.541120i \(0.818001\pi\)
\(734\) 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 0.845629 + 0.533772i \(0.179226\pi\)
−0.977192 + 0.212359i \(0.931885\pi\)
\(740\) −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 −0.190941 0.981602i \(-0.561154\pi\)
−0.515153 + 0.857098i \(0.672265\pi\)
\(744\) 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 −0.190135 0.981758i \(-0.560893\pi\)
0.157112 + 0.987581i \(0.449782\pi\)
\(752\) 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 0.173541 + 0.984827i \(0.444479\pi\)
−1.00000 0.000109327i \(0.999965\pi\)
\(758\) 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 \(0.263861\pi\)
−0.675655 + 0.737218i \(0.736139\pi\)
\(762\) 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 0.889558 + 0.456822i \(0.151012\pi\)
−0.679669 + 0.733519i \(0.737877\pi\)
\(770\) 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 0.989666 0.143394i \(-0.0458017\pi\)
−0.313070 + 0.949730i \(0.601357\pi\)
\(774\) 17.5582 +