Properties

Label 570.2.bf.a.29.7
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 29.7
Character \(\chi\) \(=\) 570.29
Dual form 570.2.bf.a.59.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.984808 + 0.173648i) q^{2} +(-1.03267 + 1.39054i) q^{3} +(0.939693 - 0.342020i) q^{4} +(-1.21793 + 1.87527i) q^{5} +(0.775516 - 1.54873i) q^{6} +(-1.48423 - 0.856923i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(-0.867188 - 2.87193i) q^{9} +O(q^{10})\) \(q+(-0.984808 + 0.173648i) q^{2} +(-1.03267 + 1.39054i) q^{3} +(0.939693 - 0.342020i) q^{4} +(-1.21793 + 1.87527i) 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} +(0.873794 - 2.05827i) 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} +(-1.34991 - 3.63012i) 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} +(-2.03327 - 4.56791i) 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} +(1.95976 + 3.34056i) 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} +(3.41466 - 1.73966i) q^{35} +(-1.79715 - 2.40214i) q^{36} +9.38078 q^{37} +(-1.70589 + 4.01123i) q^{38} +(6.24886 - 1.48880i) q^{39} +(0.117127 - 2.23300i) 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} +(6.44182 + 1.87161i) 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} +(2.79559 + 4.14544i) 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} +(-0.0314906 + 0.600359i) q^{55} +1.71385 q^{56} +(2.62695 + 7.07807i) q^{57} -2.05559i q^{58} +(-2.44329 - 13.8566i) q^{59} +(-2.51007 - 2.94950i) 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} +(7.93079 - 2.42429i) 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} +(-3.06070 + 2.30618i) 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} +(8.45155 + 1.88980i) q^{75} +(0.983433 - 4.24651i) q^{76} -0.460781 q^{77} +(-5.89540 + 2.55128i) q^{78} +(3.38643 + 4.03579i) q^{79} +(0.272408 + 2.21941i) 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} +(-3.16699 - 1.34448i) 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} +(-6.66896 - 0.724566i) q^{90} +(2.17397 + 5.97292i) q^{91} +(-0.653494 + 0.548347i) q^{92} +(-0.449554 + 0.194548i) q^{93} +8.22761i q^{94} +(3.95791 + 8.90702i) 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
\(5\) −1.21793 + 1.87527i −0.544677 + 0.838646i
\(6\) 0.775516 1.54873i 0.316603 0.632268i
\(7\) −1.48423 0.856923i −0.560988 0.323887i 0.192554 0.981286i \(-0.438323\pi\)
−0.753542 + 0.657400i \(0.771656\pi\)
\(8\) −0.866025 + 0.500000i −0.306186 + 0.176777i
\(9\) −0.867188 2.87193i −0.289063 0.957310i
\(10\) 0.873794 2.05827i 0.276318 0.650883i
\(11\) 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 0.157270 0.987556i \(-0.449731\pi\)
−0.945243 + 0.326368i \(0.894175\pi\)
\(14\) 1.61049 + 0.586170i 0.430421 + 0.156661i
\(15\) −1.34991 3.63012i −0.348545 0.937292i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) 0.267187 + 1.51529i 0.0648023 + 0.367512i 0.999913 + 0.0131574i \(0.00418826\pi\)
−0.935111 + 0.354354i \(0.884701\pi\)
\(18\) 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 \(-0.639459\pi\)
0.257089 + 0.966388i \(0.417237\pi\)
\(24\) 0.199049 1.72058i 0.0406307 0.351211i
\(25\) −2.03327 4.56791i −0.406654 0.913582i
\(26\) 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 \(0.994429\pi\)
\(30\) 1.95976 + 3.34056i 0.357802 + 0.609900i
\(31\) 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
\(35\) 3.41466 1.73966i 0.577183 0.294057i
\(36\) −1.79715 2.40214i −0.299525 0.400356i
\(37\) 9.38078 1.54219 0.771095 0.636720i \(-0.219709\pi\)
0.771095 + 0.636720i \(0.219709\pi\)
\(38\) −1.70589 + 4.01123i −0.276732 + 0.650707i
\(39\) 6.24886 1.48880i 1.00062 0.238398i
\(40\) 0.117127 2.23300i 0.0185195 0.353068i
\(41\) −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 \(-0.740516\pi\)
0.993156 0.116796i \(-0.0372622\pi\)
\(44\) 0.172818 0.205957i 0.0260534 0.0310492i
\(45\) 6.44182 + 1.87161i 0.960290 + 0.279003i
\(46\) 0.738785 0.426538i 0.108928 0.0628896i
\(47\) 1.42871 8.10262i 0.208399 1.18189i −0.683602 0.729855i \(-0.739588\pi\)
0.892001 0.452033i \(-0.149301\pi\)
\(48\) 0.102750 + 1.72900i 0.0148306 + 0.249560i
\(49\) −2.03137 3.51843i −0.290195 0.502633i
\(50\) 2.79559 + 4.14544i 0.395356 + 0.586254i
\(51\) −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 \(-0.0407645\pi\)
−0.841865 + 0.539688i \(0.818542\pi\)
\(54\) −5.12037 0.884186i −0.696794 0.120322i
\(55\) −0.0314906 + 0.600359i −0.00424619 + 0.0809524i
\(56\) 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 \(-0.424077\pi\)
\(60\) −2.51007 2.94950i −0.324049 0.380779i
\(61\) −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
\(65\) 7.93079 2.42429i 0.983693 0.300697i
\(66\) −0.0276250 0.464855i −0.00340041 0.0572197i
\(67\) −0.393781 + 2.23324i −0.0481080 + 0.272834i −0.999368 0.0355570i \(-0.988679\pi\)
0.951260 + 0.308391i \(0.0997906\pi\)
\(68\) 0.769333 + 1.33252i 0.0932953 + 0.161592i
\(69\) 0.422102 1.41600i 0.0508151 0.170466i
\(70\) −3.06070 + 2.30618i −0.365823 + 0.275642i
\(71\) 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 0.419237 0.907877i \(-0.362298\pi\)
−0.966884 + 0.255217i \(0.917853\pi\)
\(74\) −9.23826 + 1.62895i −1.07393 + 0.189362i
\(75\) 8.45155 + 1.88980i 0.975901 + 0.218215i
\(76\) 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 \(0.682002\pi\)
\(80\) 0.272408 + 2.21941i 0.0304562 + 0.248138i
\(81\) −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 \(-0.529535\pi\)
0.908627 0.417608i \(-0.137132\pi\)
\(84\) 2.15678 2.03963i 0.235324 0.222542i
\(85\) −3.16699 1.34448i −0.343509 0.145829i
\(86\) −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 \(0.986203\pi\)
\(90\) −6.66896 0.724566i −0.702970 0.0763760i
\(91\) 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
\(95\) 3.95791 + 8.90702i 0.406073 + 0.913841i
\(96\) −0.401426 1.68489i −0.0409704 0.171963i
\(97\) 1.04425 + 5.92225i 0.106028 + 0.601314i 0.990805 + 0.135299i \(0.0431995\pi\)
−0.884777 + 0.466015i \(0.845689\pi\)
\(98\) 2.61147 + 3.11223i 0.263799 + 0.314383i
\(99\) −0.587984 0.552118i −0.0590947 0.0554900i
\(100\) −3.47297 3.59701i −0.347297 0.359701i
\(101\) 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 0.530536 0.847663i \(-0.321991\pi\)
−0.999365 + 0.0356262i \(0.988657\pi\)
\(104\) 3.65242 + 0.644020i 0.358149 + 0.0631513i
\(105\) −1.10715 + 6.54471i −0.108047 + 0.638699i
\(106\) −1.59584 2.76408i −0.155002 0.268471i
\(107\) −12.2975 7.09995i −1.18884 0.686378i −0.230799 0.973002i \(-0.574134\pi\)
−0.958043 + 0.286623i \(0.907467\pi\)
\(108\) 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 \(0.816098\pi\)
\(110\) −0.0732390 0.596706i −0.00698307 0.0568937i
\(111\) −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
\(120\) 2.98411 + 2.46882i 0.272411 + 0.225371i
\(121\) −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
\(125\) 11.0425 + 1.75048i 0.987667 + 0.156568i
\(126\) 0.286842 5.13353i 0.0255539 0.457331i
\(127\) −1.23824 1.03901i −0.109876 0.0921972i 0.586194 0.810170i \(-0.300626\pi\)
−0.696071 + 0.717973i \(0.745070\pi\)
\(128\) −0.342020 + 0.939693i −0.0302306 + 0.0830579i
\(129\) 5.62006 + 8.52297i 0.494819 + 0.750405i
\(130\) −7.38933 + 3.76463i −0.648087 + 0.330180i
\(131\) −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
\(135\) −9.25482 + 7.02484i −0.796528 + 0.604602i
\(136\) −0.989036 1.17869i −0.0848091 0.101072i
\(137\) −18.9427 + 6.89459i −1.61839 + 0.589045i −0.983074 0.183209i \(-0.941351\pi\)
−0.635314 + 0.772254i \(0.719129\pi\)
\(138\) −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 \(-0.577679\pi\)
\(140\) 2.61373 2.80263i 0.220901 0.236866i
\(141\) 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
\(145\) −3.36148 3.13491i −0.279155 0.260340i
\(146\) 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 \(-0.602853\pi\)
\(150\) −8.65131 0.393494i −0.706376 0.0321287i
\(151\) 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
\(155\) −0.563473 + 0.287072i −0.0452593 + 0.0230582i
\(156\) 5.36281 3.53625i 0.429368 0.283126i
\(157\) 3.29903 9.06402i 0.263292 0.723388i −0.735649 0.677363i \(-0.763123\pi\)
0.998940 0.0460245i \(-0.0146552\pi\)
\(158\) −4.03579 3.38643i −0.321071 0.269410i
\(159\) −5.29778 1.57924i −0.420142 0.125242i
\(160\) −0.653667 2.13839i −0.0516769 0.169055i
\(161\) 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 \(-0.345368\pi\)
0.999285 + 0.0377994i \(0.0120348\pi\)
\(164\) −1.26634 + 2.19337i −0.0988849 + 0.171274i
\(165\) −0.802302 0.663761i −0.0624591 0.0516737i
\(166\) −5.08506 + 13.9711i −0.394678 + 1.08437i
\(167\) 5.05375 + 13.8851i 0.391071 + 1.07446i 0.966513 + 0.256616i \(0.0826076\pi\)
−0.575443 + 0.817842i \(0.695170\pi\)
\(168\) −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 \(-0.677300\pi\)
−0.206442 + 0.978459i \(0.566189\pi\)
\(174\) 2.85837 + 2.12274i 0.216693 + 0.160925i
\(175\) −0.896497 + 8.52221i −0.0677688 + 0.644218i
\(176\) 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 \(0.813336\pi\)
\(180\) 6.69346 0.444494i 0.498901 0.0331306i
\(181\) 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
\(185\) −11.4252 + 17.5915i −0.839995 + 1.29335i
\(186\) 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
\(190\) −5.44447 8.08442i −0.394983 0.586505i
\(191\) 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 −0.860807 0.508932i \(-0.830040\pi\)
0.351723 + 0.936104i \(0.385596\pi\)
\(194\) −2.05678 5.65095i −0.147668 0.405714i
\(195\) −4.81881 + 13.5316i −0.345082 + 0.969015i
\(196\) −3.11223 2.61147i −0.222302 0.186534i
\(197\) −3.15567 + 5.46578i −0.224832 + 0.389421i −0.956269 0.292488i \(-0.905517\pi\)
0.731437 + 0.681909i \(0.238850\pi\)
\(198\) 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 \(-0.271985\pi\)
\(200\) 4.04482 + 2.93929i 0.286012 + 0.207839i
\(201\) −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
\(205\) −0.689925 5.62108i −0.0481864 0.392593i
\(206\) 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
\(210\) −0.0461480 6.63754i −0.00318451 0.458034i
\(211\) 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
\(215\) 7.93139 + 10.5263i 0.540917 + 0.717888i
\(216\) −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
\(220\) 0.175743 + 0.574923i 0.0118486 + 0.0387613i
\(221\) 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 \(-0.449581\pi\)
−0.513909 + 0.857844i \(0.671803\pi\)
\(224\) 1.61049 0.586170i 0.107605 0.0391651i
\(225\) −11.3555 + 9.80065i −0.757033 + 0.653377i
\(226\) −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 \(0.515100\pi\)
\(230\) −0.0999185 + 1.90492i −0.00658843 + 0.125607i
\(231\) 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 \(-0.523508\pi\)
−0.697559 + 0.716528i \(0.745730\pi\)
\(234\) 2.54035 10.8324i 0.166068 0.708136i
\(235\) 13.4545 + 12.5477i 0.877676 + 0.818520i
\(236\) −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 \(0.358407\pi\)
\(240\) −3.36748 1.91313i −0.217370 0.123492i
\(241\) 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
\(245\) 9.07207 + 0.475857i 0.579593 + 0.0304014i
\(246\) 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
\(250\) −11.1787 + 0.193613i −0.707001 + 0.0122452i
\(251\) 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
\(255\) 5.14000 3.01542i 0.321880 0.188833i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) −7.45354 1.31426i −0.464939 0.0819813i −0.0637288 0.997967i \(-0.520299\pi\)
−0.401210 + 0.915986i \(0.631410\pi\)
\(258\) −7.01468 7.41757i −0.436715 0.461798i
\(259\) −13.9233 8.03860i −0.865150 0.499495i
\(260\) 6.62335 4.99058i 0.410762 0.309503i
\(261\) 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 \(-0.594720\pi\)
0.890613 + 0.454761i \(0.150275\pi\)
\(264\) −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 \(-0.0601114\pi\)
\(270\) 7.89436 8.52520i 0.480436 0.518827i
\(271\) −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
\(275\) −1.08748 0.790251i −0.0655776 0.0476539i
\(276\) −0.0876533 1.47497i −0.00527611 0.0887827i
\(277\) 3.47035 2.00361i 0.208513 0.120385i −0.392107 0.919920i \(-0.628254\pi\)
0.600620 + 0.799534i \(0.294920\pi\)
\(278\) 16.5169 + 9.53602i 0.990616 + 0.571932i
\(279\) 0.193714 0.826025i 0.0115974 0.0494528i
\(280\) −2.08735 + 3.21392i −0.124743 + 0.192069i
\(281\) −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 −0.397532 0.917588i \(-0.630133\pi\)
−0.0597241 + 0.998215i \(0.519022\pi\)
\(284\) 2.39015 0.141829
\(285\) −16.4728 3.69438i −0.975762 0.218836i
\(286\) 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
\(290\) 3.85478 + 2.50357i 0.226360 + 0.147015i
\(291\) −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 \(-0.440168\pi\)
0.944202 + 0.329366i \(0.106835\pi\)
\(294\) −7.02446 + 0.417444i −0.409675 + 0.0243458i
\(295\) 28.9606 + 12.2946i 1.68615 + 0.715818i
\(296\) −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
\(300\) 8.58821 1.11477i 0.495840 0.0643612i
\(301\) −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 \(-0.700228\pi\)
0.694143 + 0.719837i \(0.255783\pi\)
\(308\) −0.432992 + 0.157596i −0.0246720 + 0.00897988i
\(309\) 16.3733 + 1.89419i 0.931446 + 0.107757i
\(310\) 0.505064 0.380557i 0.0286857 0.0216142i
\(311\) −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 −0.408313 0.912842i \(-0.633883\pi\)
−0.695899 + 0.718139i \(0.744994\pi\)
\(314\) −1.67496 + 9.49919i −0.0945237 + 0.536070i
\(315\) −7.95735 8.29806i −0.448346 0.467542i
\(316\) 4.56253 + 2.63418i 0.256662 + 0.148184i
\(317\) −11.5302 + 13.7411i −0.647600 + 0.771779i −0.985550 0.169385i \(-0.945822\pi\)
0.337950 + 0.941164i \(0.390266\pi\)
\(318\) 5.49153 + 0.635302i 0.307950 + 0.0356259i
\(319\) 0.189021 + 0.519331i 0.0105831 + 0.0290769i
\(320\) 1.01506 + 1.99240i 0.0567438 + 0.111378i
\(321\) 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
\(325\) −5.11297 + 17.8250i −0.283617 + 0.988753i
\(326\) −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
\(330\) 0.905374 + 0.514359i 0.0498392 + 0.0283145i
\(331\) 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
\(335\) −3.70834 3.45839i −0.202608 0.188952i
\(336\) 1.32912 2.65429i 0.0725092 0.144803i
\(337\) 0.194977 + 0.0709657i 0.0106211 + 0.00386575i 0.347325 0.937745i \(-0.387090\pi\)
−0.336704 + 0.941610i \(0.609312\pi\)
\(338\) −0.258198 0.709392i −0.0140441 0.0385859i
\(339\) −10.2836 7.63699i −0.558526 0.414784i
\(340\) −3.43584 0.180220i −0.186335 0.00977380i
\(341\) 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
\(345\) 2.14128 + 2.51615i 0.115283 + 0.135465i
\(346\) 9.22564 3.35786i 0.495973 0.180520i
\(347\) −27.1609 9.88575i −1.45807 0.530695i −0.513239 0.858246i \(-0.671554\pi\)
−0.944833 + 0.327551i \(0.893777\pi\)
\(348\) −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 \(0.969939\pi\)
\(350\) −0.596989 8.54841i −0.0319104 0.456932i
\(351\) −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 \(0.111418\pi\)
−0.172697 + 0.984975i \(0.555248\pi\)
\(354\) −23.3549 6.96200i −1.24130 0.370026i
\(355\) −4.26848 + 3.21623i −0.226548 + 0.170700i
\(356\) −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 \(0.374947\pi\)
\(360\) −6.51459 + 1.60005i −0.343349 + 0.0843300i
\(361\) −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
\(365\) 16.1559 1.98296i 0.845641 0.103793i
\(366\) −0.235581 + 2.03636i −0.0123140 + 0.106442i
\(367\) −3.85915 + 4.59915i −0.201446 + 0.240074i −0.857304 0.514810i \(-0.827862\pi\)
0.655858 + 0.754884i \(0.272307\pi\)
\(368\) −0.426538 + 0.738785i −0.0222348 + 0.0385119i
\(369\) 6.35792 + 4.16021i 0.330980 + 0.216572i
\(370\) 8.19687 19.3082i 0.426135 1.00378i
\(371\) 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 \(-0.989494\pi\)
0.528306 + 0.849054i \(0.322827\pi\)
\(374\) −0.316899 0.265910i −0.0163865 0.0137499i
\(375\) −13.8373 + 13.5473i −0.714556 + 0.699578i
\(376\) 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 \(0.895247\pi\)
\(380\) 6.76560 + 7.01617i 0.347068 + 0.359922i
\(381\) 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 \(-0.138532\pi\)
−0.572657 + 0.819795i \(0.694087\pi\)
\(384\) −0.953484 1.44598i −0.0486573 0.0737900i
\(385\) 0.561201 0.864088i 0.0286014 0.0440380i
\(386\) 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 \(0.368758\pi\)
\(390\) 2.39587 14.1628i 0.121320 0.717159i
\(391\) −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
\(395\) −11.6927 + 1.43514i −0.588321 + 0.0722099i
\(396\) −0.741360 0.317719i −0.0372547 0.0159660i
\(397\) 18.4723 3.25716i 0.927096 0.163472i 0.310339 0.950626i \(-0.399557\pi\)
0.616757 + 0.787154i \(0.288446\pi\)
\(398\) 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
\(405\) −0.211138 20.1235i −0.0104915 0.999945i
\(406\) −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 \(0.324080\pi\)
\(410\) 1.65553 + 5.41588i 0.0817610 + 0.267471i
\(411\) 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
\(415\) 15.0917 + 29.6224i 0.740822 + 1.45411i
\(416\) 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 \(0.774237\pi\)
\(420\) 1.19804 + 6.52869i 0.0584585 + 0.318567i
\(421\) 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
\(425\) 6.37845 4.30148i 0.309400 0.208653i
\(426\) 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
\(430\) −9.63877 8.98911i −0.464823 0.433493i
\(431\) 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 0.291407 0.956599i \(-0.405877\pi\)
0.838121 + 0.545485i \(0.183655\pi\)
\(434\) 0.311557 + 0.371299i 0.0149552 + 0.0178229i
\(435\) 7.83050 1.43693i 0.375444 0.0688957i
\(436\) 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 \(0.755728\pi\)
\(440\) −0.272908 0.535671i −0.0130104 0.0255371i
\(441\) −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 \(-0.324273\pi\)
−0.747440 + 0.664330i \(0.768717\pi\)
\(444\) −4.64161 + 15.5709i −0.220281 + 0.738961i
\(445\) 29.7548 9.09550i 1.41051 0.431168i
\(446\) 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 \(0.998601\pi\)
\(450\) 9.48111 11.6236i 0.446944 0.547943i
\(451\) −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
\(460\) −0.232385 1.89333i −0.0108350 0.0882769i
\(461\) 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 0.246568 0.969126i \(-0.420697\pi\)
−0.716004 + 0.698097i \(0.754031\pi\)
\(464\) 1.02779 + 1.78019i 0.0477141 + 0.0826433i
\(465\) 0.182697 1.07998i 0.00847238 0.0500829i
\(466\) 12.3393 + 2.17576i 0.571609 + 0.100790i
\(467\) −16.4861 28.5548i −0.762886 1.32136i −0.941357 0.337413i \(-0.890448\pi\)
0.178471 0.983945i \(-0.442885\pi\)
\(468\) −0.620726 + 11.1090i −0.0286931 + 0.513512i
\(469\) 2.49818 2.97722i 0.115355 0.137475i
\(470\) −15.4290 10.0207i −0.711686 0.462220i
\(471\) 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
\(475\) −21.5235 3.42602i −0.987567 0.157196i
\(476\) 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 \(0.583114\pi\)
\(480\) 3.64854 + 1.29930i 0.166532 + 0.0593048i
\(481\) −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
\(485\) −12.3776 5.25466i −0.562040 0.238602i
\(486\) 1.90101 + 15.4721i 0.0862315 + 0.701829i
\(487\) 5.11325 8.85641i 0.231704 0.401322i −0.726606 0.687054i \(-0.758903\pi\)
0.958310 + 0.285732i \(0.0922368\pi\)
\(488\) 0.760761 0.906639i 0.0344380 0.0410416i
\(489\) −4.30244 + 37.1902i −0.194563 + 1.68180i
\(490\) −9.01688 + 1.10672i −0.407341 + 0.0499966i
\(491\) 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
\(495\) 1.75150 0.430185i 0.0787239 0.0193354i
\(496\) 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 \(0.739397\pi\)
\(500\) 10.9752 2.13183i 0.490826 0.0953382i
\(501\) −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 \(0.214802\pi\)
−0.947410 + 0.320023i \(0.896309\pi\)
\(504\) −1.48623 4.92205i −0.0662018 0.219245i
\(505\) 3.30942 + 10.8264i 0.147267 + 0.481767i
\(506\) 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 \(0.594960\pi\)
\(510\) −4.53829 + 3.86216i −0.200959 + 0.171019i
\(511\) 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
\(515\) 21.2497 + 1.11461i 0.936372 + 0.0491155i
\(516\) 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
\(520\) −5.65612 + 6.06489i −0.248037 + 0.265963i
\(521\) −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 \(0.183760\pi\)
−0.974067 + 0.226258i \(0.927351\pi\)
\(524\) −2.99669 + 1.73014i −0.130911 + 0.0755816i
\(525\) −10.9247 10.0472i −0.476791 0.438497i
\(526\) −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
\(530\) 7.12702 + 0.373833i 0.309578 + 0.0162383i
\(531\) −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
\(535\) 28.2918 14.4138i 1.22316 0.623163i
\(536\) −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
\(540\) −6.29405 + 9.76652i −0.270853 + 0.420284i
\(541\) 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
\(545\) −22.4697 29.8211i −0.962496 1.27739i
\(546\) 10.9364 + 1.26521i 0.468035 + 0.0541458i
\(547\) −33.9042 + 12.3401i −1.44964 + 0.527626i −0.942491 0.334233i \(-0.891523\pi\)
−0.507149 + 0.861858i \(0.669301\pi\)
\(548\) −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
\(555\) −12.6632 34.0533i −0.537523 1.44548i
\(556\) −17.9219 6.52302i −0.760056 0.276638i
\(557\) −16.6543 13.9746i −0.705665 0.592123i 0.217714 0.976013i \(-0.430140\pi\)
−0.923379 + 0.383889i \(0.874584\pi\)
\(558\) −0.0473335 + 0.847114i −0.00200379 + 0.0358612i
\(559\) −18.9316 + 10.9302i −0.800721 + 0.462296i
\(560\) 1.49755 3.52756i 0.0632830 0.149067i
\(561\) −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 \(-0.484531\pi\)
−0.840713 + 0.541481i \(0.817864\pi\)
\(564\) 12.7424 + 6.38065i 0.536551 + 0.268674i
\(565\) −13.8683 9.00710i −0.583446 0.378931i
\(566\) 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 \(0.580801\pi\)
\(570\) 16.8640 + 0.777793i 0.706356 + 0.0325782i
\(571\) 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
\(575\) 2.96271 + 3.06852i 0.123553 + 0.127966i
\(576\) −2.92076 0.684958i −0.121698 0.0285399i
\(577\) 38.2042 + 22.0572i 1.59046 + 0.918254i 0.993227 + 0.116189i \(0.0370679\pi\)
0.597236 + 0.802065i \(0.296265\pi\)
\(578\) −12.6721 + 7.31625i −0.527091 + 0.304316i
\(579\) −0.948625 15.9628i −0.0394235 0.663392i
\(580\) −4.23096 1.79616i −0.175681 0.0745815i
\(581\) −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
\(585\) −13.8399 20.6744i −0.572209 0.854779i
\(586\) −17.1255 + 14.3700i −0.707450 + 0.593621i
\(587\) −3.47915 19.7312i −0.143600 0.814395i −0.968481 0.249089i \(-0.919869\pi\)
0.824881 0.565307i \(-0.191242\pi\)
\(588\) 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 \(-0.385207\pi\)
0.871750 + 0.489951i \(0.162985\pi\)
\(594\) −1.31108 + 0.482454i −0.0537941 + 0.0197953i
\(595\) 3.54845 + 4.70939i 0.145472 + 0.193066i
\(596\) −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 \(-0.0113099\pi\)
\(600\) −8.26416 + 2.58916i −0.337383 + 0.105702i
\(601\) −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
\(605\) −11.0923 21.7723i −0.450967 0.885172i
\(606\) −3.48277 8.04785i −0.141478 0.326922i
\(607\) −27.5373 −1.11770 −0.558852 0.829267i \(-0.688758\pi\)
−0.558852 + 0.829267i \(0.688758\pi\)
\(608\) 1.27158 + 4.16930i 0.0515693 + 0.169088i
\(609\) 1.41421 + 5.93580i 0.0573067 + 0.240531i
\(610\) −0.138624 + 2.64283i −0.00561273 + 0.107005i
\(611\) −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 \(-0.804282\pi\)
0.996535 + 0.0831701i \(0.0265045\pi\)
\(614\) −1.55519 + 1.85340i −0.0627622 + 0.0747971i
\(615\) 8.52879 + 4.84535i 0.343914 + 0.195383i
\(616\) 0.399048 0.230390i 0.0160781 0.00928269i
\(617\) −1.13238 + 6.42203i −0.0455878 + 0.258541i −0.999080 0.0428750i \(-0.986348\pi\)
0.953493 + 0.301416i \(0.0974594\pi\)
\(618\) −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 \(0.565513\pi\)
\(620\) −0.431307 + 0.462479i −0.0173217 + 0.0185736i
\(621\) −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
\(625\) −16.7316 + 18.5756i −0.669265 + 0.743024i
\(626\) 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
\(630\) 9.27740 + 6.79021i 0.369620 + 0.270528i
\(631\) 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
\(635\) 3.45652 1.05659i 0.137168 0.0419297i
\(636\) −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
\(640\) −1.34562 1.78586i −0.0531903 0.0705925i
\(641\) 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 \(0.0330327\pi\)
−0.0706987 + 0.997498i \(0.522523\pi\)
\(644\) 1.43983 0.253881i 0.0567372 0.0100043i
\(645\) −22.8277 + 0.158711i −0.898841 + 0.00624926i
\(646\) −6.53396 1.51317i −0.257075 0.0595351i
\(647\) 41.3515 1.62570 0.812848 0.582476i \(-0.197916\pi\)
0.812848 + 0.582476i \(0.197916\pi\)
\(648\) 4.00119 8.06167i 0.157182 0.316692i
\(649\) −2.43161 2.89788i −0.0954491 0.113752i
\(650\) 1.94002 18.4421i 0.0760938 0.723357i
\(651\) 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 \(-0.450471\pi\)
0.778076 0.628170i \(-0.216196\pi\)
\(654\) 19.8726 + 21.0140i 0.777081 + 0.821714i
\(655\) 3.02358 7.12221i 0.118141 0.278288i
\(656\) −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 \(0.514325\pi\)
\(660\) −0.980937 0.349328i −0.0381829 0.0135976i
\(661\) 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
\(665\) 1.75816 16.6117i 0.0681787 0.644175i
\(666\) 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
\(670\) 4.25254 + 2.76191i 0.164290 + 0.106702i
\(671\) −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 \(-0.814295\pi\)
−0.0597736 0.998212i \(-0.519038\pi\)
\(674\) −0.204338 0.0360302i −0.00787079 0.00138783i
\(675\) −1.90171 25.9111i −0.0731968 0.997318i
\(676\) 0.377460 + 0.653780i 0.0145177 + 0.0251454i
\(677\) −1.73145 0.999652i −0.0665450 0.0384197i 0.466358 0.884596i \(-0.345566\pi\)
−0.532903 + 0.846176i \(0.678899\pi\)
\(678\) 11.4535 + 5.73524i 0.439868 + 0.220261i
\(679\) 3.52500 9.68485i 0.135277 0.371671i
\(680\) 3.41494 0.419145i 0.130957 0.0160735i
\(681\) 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
\(690\) −2.54568 2.10609i −0.0969122 0.0801775i
\(691\) −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
\(695\) 40.7835 12.4668i 1.54701 0.472891i
\(696\) 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
\(700\) 2.07234 + 8.31488i 0.0783269 + 0.314273i
\(701\) −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
\(705\) −31.3421 + 5.75141i −1.18041 + 0.216611i
\(706\) −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 \(0.910072\pi\)
\(710\) 3.64514 3.90859i 0.136800 0.146687i
\(711\) 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
\(715\) 1.52069 1.63059i 0.0568706 0.0609807i
\(716\) 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 \(0.666957\pi\)
\(720\) 6.13777 2.70699i 0.228741 0.100883i
\(721\) 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
\(725\) 9.97286 2.48556i 0.370383 0.0923113i
\(726\) 10.4194 + 15.8013i 0.386700 + 0.586441i
\(727\) 6.91987 19.0122i 0.256644 0.705123i −0.742725 0.669597i \(-0.766467\pi\)
0.999369 0.0355262i \(-0.0113107\pi\)
\(728\) −4.86917 4.08572i −0.180463 0.151427i
\(729\) 20.8055 + 17.2084i 0.770575 + 0.637349i
\(730\) −15.5662 + 4.75829i −0.576129 + 0.176112i
\(731\) 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 \(-0.515333\pi\)
0.840946 + 0.541120i \(0.181999\pi\)
\(734\) 3.00188 5.19941i 0.110802 0.191914i
\(735\) −10.0301 + 12.1236i −0.369967 + 0.447188i
\(736\) 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 0.190941 0.981602i \(-0.438846\pi\)
0.515153 + 0.857098i \(0.327735\pi\)
\(744\) 0.292051 0.393260i 0.0107071 0.0144176i
\(745\) 50.4173 6.18816i 1.84715 0.226717i
\(746\) 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
\(750\) 11.2746 15.7443i 0.411691 0.574900i
\(751\) −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
\(755\) −19.2854 12.5253i −0.701866 0.455842i
\(756\) −7.72802 4.42538i −0.281065 0.160950i
\(757\) 22.7389 + 27.0992i 0.826459 + 0.984936i 1.00000 0.000109327i \(3.48000e-5\pi\)
−0.173541 + 0.984827i \(0.555521\pi\)
\(758\) −2.18508 12.3922i −0.0793657 0.450105i
\(759\) −0.0920696 0.386440i −0.00334191 0.0140269i
\(760\) −7.88116 5.73475i −0.285880 0.208021i
\(761\) 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
\(765\) −1.11487 + 10.2613i −0.0403080 + 0.370998i
\(766\) −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 \(-0.151012\pi\)
\(770\) −0.402628 + 0.948412i −0.0145097 + 0.0341784i
\(771\) 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 \(-0.954198\pi\)
0.313070 + 0.949730i \(0.398643\pi\)