Properties

Label 570.2.bf.a.59.7
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 59.7
Character \(\chi\) \(=\) 570.59
Dual form 570.2.bf.a.29.7

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

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

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
\(5\) −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 −0.753542 0.657400i \(-0.771656\pi\)
0.192554 + 0.981286i \(0.438323\pi\)
\(8\) −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 0.534691 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 −0.945243 0.326368i \(-0.894175\pi\)
0.157270 + 0.987556i \(0.449731\pi\)
\(14\) 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 −0.935111 0.354354i \(-0.884701\pi\)
0.999913 0.0131574i \(-0.00418826\pi\)
\(18\) 1.35272 2.67771i 0.318839 0.631143i
\(19\) 2.37652 + 3.65406i 0.545210 + 0.838299i
\(20\) −0.503104 2.17874i −0.112497 0.487180i
\(21\) 2.72431 + 1.17897i 0.594493 + 0.257271i
\(22\) −0.205957 0.172818i −0.0439102 0.0368450i
\(23\) −0.801629 0.291769i −0.167151 0.0608381i 0.257089 0.966388i \(-0.417237\pi\)
−0.424240 + 0.905550i \(0.639459\pi\)
\(24\) 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 −0.999847 0.0175008i \(-0.994429\pi\)
0.933563 0.358413i \(-0.116682\pi\)
\(30\) 1.95976 3.34056i 0.357802 0.609900i
\(31\) 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
\(35\) 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 0.478591 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 \(0.0372622\pi\)
−0.685727 + 0.727859i \(0.740516\pi\)
\(44\) 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 0.892001 + 0.452033i \(0.149301\pi\)
−0.683602 + 0.729855i \(0.739588\pi\)
\(48\) 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 −0.841865 0.539688i \(-0.818542\pi\)
0.991811 + 0.127716i \(0.0407645\pi\)
\(54\) −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 0.236263 + 0.971689i \(0.424077\pi\)
−0.554352 + 0.832283i \(0.687034\pi\)
\(60\) −2.51007 + 2.94950i −0.324049 + 0.380779i
\(61\) −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
\(65\) 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 0.951260 0.308391i \(-0.0997906\pi\)
−0.999368 + 0.0355570i \(0.988679\pi\)
\(68\) 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 −0.205287 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 −0.966884 0.255217i \(-0.917853\pi\)
0.419237 + 0.907877i \(0.362298\pi\)
\(74\) −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 −0.541127 0.840941i \(-0.682002\pi\)
0.922131 + 0.386878i \(0.126447\pi\)
\(80\) 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 0.908627 + 0.417608i \(0.137132\pi\)
−0.0926542 + 0.995698i \(0.529535\pi\)
\(84\) 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 −0.999061 0.0433325i \(-0.986203\pi\)
−0.130811 + 0.991407i \(0.541758\pi\)
\(90\) −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 −0.884777 0.466015i \(-0.845689\pi\)
0.990805 0.135299i \(-0.0431995\pi\)
\(98\) 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 0.903254 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 −0.999365 0.0356262i \(-0.988657\pi\)
0.530536 + 0.847663i \(0.321991\pi\)
\(104\) 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 −0.958043 0.286623i \(-0.907467\pi\)
−0.230799 + 0.973002i \(0.574134\pi\)
\(108\) 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 \(-0.406124\pi\)
\(110\) −0.0732390 + 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 \(-0.886912\pi\)
0.937550 0.347850i \(-0.113088\pi\)
\(114\) −3.81614 + 6.51438i −0.357414 + 0.610127i
\(115\) 0.429186 + 1.85863i 0.0400218 + 0.173318i
\(116\) 0.356949 2.02436i 0.0331419 0.187957i
\(117\) −4.38278 10.2267i −0.405188 0.945459i
\(118\) 4.81234 13.2218i 0.443011 1.21716i
\(119\) 0.901920 + 2.47800i 0.0826789 + 0.227158i
\(120\) 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 −0.696071 0.717973i \(-0.745070\pi\)
0.586194 + 0.810170i \(0.300626\pi\)
\(128\) −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 0.0227860 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
\(135\) −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 −0.635314 0.772254i \(-0.719129\pi\)
−0.983074 + 0.183209i \(0.941351\pi\)
\(138\) −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 \(0.977877\pi\)
\(140\) 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 −0.317528 + 0.948249i \(0.602853\pi\)
−0.878705 + 0.477366i \(0.841592\pi\)
\(150\) −8.65131 + 0.393494i −0.706376 + 0.0321287i
\(151\) 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
\(155\) −0.563473 0.287072i −0.0452593 0.0230582i
\(156\) 5.36281 + 3.53625i 0.429368 + 0.283126i
\(157\) 3.29903 + 9.06402i 0.263292 + 0.723388i 0.998940 + 0.0460245i \(0.0146552\pi\)
−0.735649 + 0.677363i \(0.763123\pi\)
\(158\) −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 0.999285 0.0377994i \(-0.0120348\pi\)
0.466907 + 0.884306i \(0.345368\pi\)
\(164\) −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 −0.575443 0.817842i \(-0.695170\pi\)
0.966513 0.256616i \(-0.0826076\pi\)
\(168\) −1.76984 2.38317i −0.136546 0.183865i
\(169\) 0.131090 0.743451i 0.0100839 0.0571885i
\(170\) 3.35235 0.774109i 0.257113 0.0593715i
\(171\) −12.5551 + 3.65643i −0.960112 + 0.279614i
\(172\) 5.89424i 0.449431i
\(173\) −9.66856 1.70483i −0.735087 0.129616i −0.206442 0.978459i \(-0.566189\pi\)
−0.528645 + 0.848843i \(0.677300\pi\)
\(174\) 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 −0.832926 0.553385i \(-0.813336\pi\)
0.895708 + 0.444642i \(0.146669\pi\)
\(180\) 6.69346 + 0.444494i 0.498901 + 0.0331306i
\(181\) 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
\(185\) −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 \(0.0547044\pi\)
−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 0.351723 0.936104i \(-0.385596\pi\)
−0.860807 + 0.508932i \(0.830040\pi\)
\(194\) −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 0.731437 0.681909i \(-0.238850\pi\)
−0.956269 + 0.292488i \(0.905517\pi\)
\(198\) 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 \(0.616903\pi\)
\(200\) 4.04482 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 0.672059 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
\(215\) 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 −0.513909 0.857844i \(-0.671803\pi\)
0.157734 + 0.987482i \(0.449581\pi\)
\(224\) 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 \(0.151431\pi\)
−0.888956 + 0.457992i \(0.848569\pi\)
\(228\) 4.88937 5.75274i 0.323807 0.380985i
\(229\) −1.43517 −0.0948389 −0.0474194 0.998875i \(-0.515100\pi\)
−0.0474194 + 0.998875i \(0.515100\pi\)
\(230\) −0.0999185 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 −0.697559 0.716528i \(-0.745730\pi\)
−0.0737860 + 0.997274i \(0.523508\pi\)
\(234\) 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 0.430301 0.902685i \(-0.358407\pi\)
−0.566598 + 0.823994i \(0.691741\pi\)
\(240\) −3.36748 + 1.91313i −0.217370 + 0.123492i
\(241\) 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
\(245\) 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 −0.442707 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
\(255\) 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 −0.401210 0.915986i \(-0.631410\pi\)
−0.0637288 + 0.997967i \(0.520299\pi\)
\(258\) −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 0.890613 0.454761i \(-0.150275\pi\)
−0.293199 + 0.956051i \(0.594720\pi\)
\(264\) −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 \(0.384333\pi\)
\(270\) 7.89436 + 8.52520i 0.480436 + 0.518827i
\(271\) −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
\(275\) −1.08748 + 0.790251i −0.0655776 + 0.0476539i
\(276\) −0.0876533 + 1.47497i −0.00527611 + 0.0887827i
\(277\) 3.47035 + 2.00361i 0.208513 + 0.120385i 0.600620 0.799534i \(-0.294920\pi\)
−0.392107 + 0.919920i \(0.628254\pi\)
\(278\) 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 0.221066 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 −0.0597241 0.998215i \(-0.519022\pi\)
−0.397532 + 0.917588i \(0.630133\pi\)
\(284\) 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 0.944202 0.329366i \(-0.106835\pi\)
0.186862 + 0.982386i \(0.440168\pi\)
\(294\) −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 0.694143 0.719837i \(-0.255783\pi\)
−0.588364 + 0.808596i \(0.700228\pi\)
\(308\) −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 −0.984321 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 −0.695899 0.718139i \(-0.744994\pi\)
−0.408313 + 0.912842i \(0.633883\pi\)
\(314\) −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 0.337950 0.941164i \(-0.390266\pi\)
−0.985550 + 0.169385i \(0.945822\pi\)
\(318\) 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 0.960376 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
\(335\) −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 −0.336704 0.941610i \(-0.609312\pi\)
0.347325 + 0.937745i \(0.387090\pi\)
\(338\) −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 −0.944833 0.327551i \(-0.893777\pi\)
−0.513239 + 0.858246i \(0.671554\pi\)
\(348\) −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 \(-0.363395\pi\)
\(350\) −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 −0.172697 0.984975i \(-0.555248\pi\)
0.939362 0.342927i \(-0.111418\pi\)
\(354\) −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 0.382837 0.923816i \(-0.374947\pi\)
0.0437858 + 0.999041i \(0.486058\pi\)
\(360\) −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 0.655858 0.754884i \(-0.272307\pi\)
−0.857304 + 0.514810i \(0.827862\pi\)
\(368\) −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 0.528306 0.849054i \(-0.322827\pi\)
−0.999455 + 0.0329993i \(0.989494\pi\)
\(374\) −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 \(-0.895247\pi\)
0.946337 0.323182i \(-0.104753\pi\)
\(380\) 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 −0.572657 0.819795i \(-0.694087\pi\)
0.906781 + 0.421601i \(0.138532\pi\)
\(384\) −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 0.400725 0.916198i \(-0.368758\pi\)
0.689917 + 0.723889i \(0.257647\pi\)
\(390\) 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 0.616757 0.787154i \(-0.288446\pi\)
0.310339 + 0.950626i \(0.399557\pi\)
\(398\) 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
\(405\) −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 0.524960 0.851127i \(-0.324080\pi\)
0.784404 + 0.620250i \(0.212969\pi\)
\(410\) 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 \(-0.774237\pi\)
0.758847 0.651269i \(-0.225763\pi\)
\(420\) 1.19804 6.52869i 0.0584585 0.318567i
\(421\) 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
\(425\) 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 0.171413 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 0.838121 0.545485i \(-0.183655\pi\)
0.291407 + 0.956599i \(0.405877\pi\)
\(434\) 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 −0.719716 0.694268i \(-0.755728\pi\)
−0.913766 + 0.406241i \(0.866839\pi\)
\(440\) −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 −0.747440 0.664330i \(-0.768717\pi\)
0.524446 + 0.851444i \(0.324273\pi\)
\(444\) −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 −0.999990 0.00439613i \(-0.998601\pi\)
0.496188 0.868215i \(-0.334733\pi\)
\(450\) 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 \(-0.798190\pi\)
0.805661 0.592377i \(-0.201810\pi\)
\(458\) 1.41337 + 0.249215i 0.0660424 + 0.0116451i
\(459\) −1.36047 7.87854i −0.0635011 0.367739i
\(460\) −0.232385 + 1.89333i −0.0108350 + 0.0882769i
\(461\) 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 −0.716004 0.698097i \(-0.754031\pi\)
0.246568 + 0.969126i \(0.420697\pi\)
\(464\) 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 0.178471 + 0.983945i \(0.442885\pi\)
−0.941357 + 0.337413i \(0.890448\pi\)
\(468\) −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 −0.258152 0.966104i \(-0.583114\pi\)
0.818756 0.574142i \(-0.194664\pi\)
\(480\) 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 0.958310 0.285732i \(-0.0922368\pi\)
−0.726606 + 0.687054i \(0.758903\pi\)
\(488\) 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 −0.622399 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
\(495\) 1.75150 + 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 −0.683164 0.730265i \(-0.739397\pi\)
−0.0539286 + 0.998545i \(0.517174\pi\)
\(500\) 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 −0.947410 0.320023i \(-0.896309\pi\)
0.780819 0.624757i \(-0.214802\pi\)
\(504\) −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 −0.293920 0.955830i \(-0.594960\pi\)
−0.839552 + 0.543280i \(0.817182\pi\)
\(510\) −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 −0.998422 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 \(-0.927351\pi\)
0.837939 0.545763i \(-0.183760\pi\)
\(524\) −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 0.988273 + 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
\(545\) −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 −0.507149 0.861858i \(-0.669301\pi\)
−0.942491 + 0.334233i \(0.891523\pi\)
\(548\) −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 −0.923379 0.383889i \(-0.874584\pi\)
0.217714 + 0.976013i \(0.430140\pi\)
\(558\) −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 −0.840713 0.541481i \(-0.817864\pi\)
0.0485795 + 0.998819i \(0.484531\pi\)
\(564\) 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 0.597236 0.802065i \(-0.296265\pi\)
0.993227 0.116189i \(-0.0370679\pi\)
\(578\) −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 0.824881 + 0.565307i \(0.191242\pi\)
−0.968481 + 0.249089i \(0.919869\pi\)
\(588\) 6.84526 + 1.63089i 0.282294 + 0.0672567i
\(589\) 1.09877 + 0.558907i 0.0452739 + 0.0230294i
\(590\) −30.6555 + 7.07884i −1.26207 + 0.291431i
\(591\) −4.34161 + 10.0324i −0.178590 + 0.412679i
\(592\) 7.18609 + 6.02985i 0.295347 + 0.247825i
\(593\) 29.8213 + 10.8541i 1.22462 + 0.445723i 0.871750 0.489951i \(-0.162985\pi\)
0.352865 + 0.935674i \(0.385207\pi\)
\(594\) −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 0.999369 + 0.0355237i \(0.0113099\pi\)
−0.926950 + 0.375186i \(0.877579\pi\)
\(600\) −8.26416 2.58916i −0.337383 0.105702i
\(601\) −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
\(605\) −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 0.996535 0.0831701i \(-0.0265045\pi\)
−0.816851 + 0.576849i \(0.804282\pi\)
\(614\) −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 0.953493 0.301416i \(-0.0974594\pi\)
−0.999080 + 0.0428750i \(0.986348\pi\)
\(618\) −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 \(-0.101154\pi\)
\(620\) −0.431307 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 0.693211 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
\(635\) 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 0.0692208 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 \(-0.522523\pi\)
0.994620 0.103589i \(-0.0330327\pi\)
\(644\) 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 0.778076 + 0.628170i \(0.216196\pi\)
0.154973 + 0.987919i \(0.450471\pi\)
\(654\) 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 −0.0449886 0.998988i \(-0.514325\pi\)
0.975998 + 0.217777i \(0.0698807\pi\)
\(660\) −0.980937 + 0.349328i −0.0381829 + 0.0135976i
\(661\) 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
\(665\) 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 −0.0597736 + 0.998212i \(0.519038\pi\)
−0.834590 + 0.550871i \(0.814295\pi\)
\(674\) −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 −0.532903 0.846176i \(-0.678899\pi\)
0.466358 + 0.884596i \(0.345566\pi\)
\(678\) 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 \(0.152277\pi\)
−0.887736 + 0.460354i \(0.847723\pi\)
\(684\) −13.0485 0.858175i −0.498922 0.0328132i
\(685\) 10.1418 + 43.9199i 0.387498 + 1.67809i
\(686\) −3.29234 + 18.6718i −0.125702 + 0.712892i
\(687\) 1.48206 + 1.99566i 0.0565441 + 0.0761392i
\(688\) −2.01595 + 5.53877i −0.0768573 + 0.211164i
\(689\) 4.04856 + 11.1233i 0.154238 + 0.423765i
\(690\) −2.54568 + 2.10609i −0.0969122 + 0.0801775i
\(691\) −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
\(695\) 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 −0.0543454 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
\(705\) −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 −0.960357 0.278774i \(-0.910072\pi\)
0.107774 + 0.994175i \(0.465628\pi\)
\(710\) 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 −0.500789 0.865570i \(-0.666957\pi\)
0.939381 + 0.342876i \(0.111401\pi\)
\(720\) 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 0.999369 + 0.0355262i \(0.0113107\pi\)
−0.742725 + 0.669597i \(0.766467\pi\)
\(728\) −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 0.840946 0.541120i \(-0.181999\pi\)
−0.0481505 + 0.998840i \(0.515333\pi\)
\(734\) 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 0.845629 + 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 0.515153 0.857098i \(-0.327735\pi\)
0.190941 + 0.981602i \(0.438846\pi\)
\(744\) 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 −0.190135 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
\(755\) −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 −0.173541 0.984827i \(-0.555521\pi\)
1.00000 0.000109327i \(-3.48000e-5\pi\)
\(758\) −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 \(0.263861\pi\)
−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
\(765\) −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 0.889558 + 0.456822i \(0.151012\pi\)
−0.679669 + 0.733519i \(0.737877\pi\)
\(770\) −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 0.313070 0.949730i \(-0.398643\pi\)
−0.989666 + 0.143394i \(0.954198\pi\)