Properties

Label 115.2.j.a.9.10
Level $115$
Weight $2$
Character 115.9
Analytic conductor $0.918$
Analytic rank $0$
Dimension $100$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 115 = 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 115.j (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.918279623245\)
Analytic rank: \(0\)
Dimension: \(100\)
Relative dimension: \(10\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 9.10
Character \(\chi\) \(=\) 115.9
Dual form 115.2.j.a.64.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.743795 + 2.53313i) q^{2} +(1.34601 - 1.16633i) q^{3} +(-4.18102 + 2.68698i) q^{4} +(2.14584 - 0.628789i) q^{5} +(3.95561 + 2.54212i) q^{6} +(-1.87277 - 0.855264i) q^{7} +(-5.92582 - 5.13475i) q^{8} +(0.0244873 - 0.170313i) q^{9} +O(q^{10})\) \(q+(0.743795 + 2.53313i) q^{2} +(1.34601 - 1.16633i) q^{3} +(-4.18102 + 2.68698i) q^{4} +(2.14584 - 0.628789i) q^{5} +(3.95561 + 2.54212i) q^{6} +(-1.87277 - 0.855264i) q^{7} +(-5.92582 - 5.13475i) q^{8} +(0.0244873 - 0.170313i) q^{9} +(3.18887 + 4.96800i) q^{10} +(-5.55748 - 1.63182i) q^{11} +(-2.49381 + 8.49314i) q^{12} +(2.87256 - 1.31185i) q^{13} +(0.773542 - 5.38010i) q^{14} +(2.15495 - 3.34911i) q^{15} +(4.47020 - 9.78837i) q^{16} +(1.10511 - 1.71958i) q^{17} +(0.449639 - 0.0646484i) q^{18} +(-1.77165 + 1.13857i) q^{19} +(-7.28225 + 8.39480i) q^{20} +(-3.51828 + 1.03306i) q^{21} -15.2916i q^{22} +(1.21456 + 4.63949i) q^{23} -13.9650 q^{24} +(4.20925 - 2.69856i) q^{25} +(5.45969 + 6.30081i) q^{26} +(2.72301 + 4.23709i) q^{27} +(10.1281 - 1.45621i) q^{28} +(1.74171 + 1.11933i) q^{29} +(10.0866 + 2.96773i) q^{30} +(-1.04153 + 1.20200i) q^{31} +(12.5978 + 1.81129i) q^{32} +(-9.38367 + 4.28538i) q^{33} +(5.17791 + 1.52037i) q^{34} +(-4.55643 - 0.657682i) q^{35} +(0.355246 + 0.777880i) q^{36} +(-0.620561 - 0.0892232i) q^{37} +(-4.20189 - 3.64095i) q^{38} +(2.33645 - 5.11610i) q^{39} +(-15.9445 - 7.29226i) q^{40} +(0.289709 + 2.01497i) q^{41} +(-5.23376 - 8.14389i) q^{42} +(3.14193 - 2.72250i) q^{43} +(27.6206 - 8.11014i) q^{44} +(-0.0545453 - 0.380862i) q^{45} +(-10.8491 + 6.52746i) q^{46} -0.403164i q^{47} +(-5.39949 - 18.3890i) q^{48} +(-1.80825 - 2.08683i) q^{49} +(9.96663 + 8.65540i) q^{50} +(-0.518105 - 3.60350i) q^{51} +(-8.48529 + 13.2034i) q^{52} +(-7.50209 - 3.42609i) q^{53} +(-8.70774 + 10.0493i) q^{54} +(-12.9515 - 0.00714551i) q^{55} +(6.70611 + 14.6843i) q^{56} +(-1.05672 + 3.59885i) q^{57} +(-1.53994 + 5.24454i) q^{58} +(3.73431 + 8.17700i) q^{59} +(-0.0109200 + 19.7930i) q^{60} +(0.892000 - 1.02942i) q^{61} +(-3.81950 - 1.74431i) q^{62} +(-0.191522 + 0.298014i) q^{63} +(1.71909 + 11.9565i) q^{64} +(5.33916 - 4.62126i) q^{65} +(-17.8350 - 20.5826i) q^{66} +(1.89660 + 6.45923i) q^{67} +10.1590i q^{68} +(7.04596 + 4.82824i) q^{69} +(-1.72306 - 12.0312i) q^{70} +(-13.3319 + 3.91459i) q^{71} +(-1.01962 + 0.883509i) q^{72} +(-5.58084 - 8.68396i) q^{73} +(-0.235556 - 1.63833i) q^{74} +(2.51830 - 8.54165i) q^{75} +(4.34798 - 9.52075i) q^{76} +(9.01222 + 7.80913i) q^{77} +(14.6976 + 2.11320i) q^{78} +(-3.54206 - 7.75603i) q^{79} +(3.43750 - 23.8151i) q^{80} +(9.10231 + 2.67268i) q^{81} +(-4.88870 + 2.23259i) q^{82} +(8.15053 + 1.17187i) q^{83} +(11.9342 - 13.7728i) q^{84} +(1.29013 - 4.38483i) q^{85} +(9.23341 + 5.93395i) q^{86} +(3.64987 - 0.524772i) q^{87} +(24.5536 + 38.2062i) q^{88} +(2.09382 + 2.41639i) q^{89} +(0.924203 - 0.421453i) q^{90} -6.50160 q^{91} +(-17.5443 - 16.1343i) q^{92} +2.83267i q^{93} +(1.02127 - 0.299871i) q^{94} +(-3.08575 + 3.55718i) q^{95} +(19.0693 - 12.2551i) q^{96} +(9.91281 - 1.42525i) q^{97} +(3.94125 - 6.13270i) q^{98} +(-0.414009 + 0.906553i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 100q - 14q^{4} - 9q^{5} - 18q^{6} - 12q^{9} + O(q^{10}) \) \( 100q - 14q^{4} - 9q^{5} - 18q^{6} - 12q^{9} - 13q^{10} - 26q^{11} - 26q^{14} - 10q^{15} - 18q^{16} - 14q^{19} + 49q^{20} - 22q^{21} - 68q^{24} + 21q^{25} - 42q^{26} - 24q^{29} + 19q^{30} - 12q^{31} + 8q^{34} - 37q^{35} - 10q^{36} + 14q^{39} - q^{40} + 8q^{41} + 166q^{44} - 42q^{45} - 18q^{46} + 32q^{49} - 23q^{50} - 22q^{51} + 116q^{54} + 27q^{55} - 116q^{56} + 50q^{59} + 123q^{60} - 38q^{61} + 10q^{64} + 76q^{65} - 28q^{66} + 80q^{69} + 102q^{70} - 110q^{71} + 22q^{74} + 6q^{75} + 4q^{76} + 42q^{79} + 18q^{80} + 204q^{81} + 56q^{84} - 121q^{85} + 132q^{86} - 66q^{89} - 198q^{90} + 76q^{91} - 70q^{94} - 74q^{95} + 236q^{96} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/115\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{11}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.743795 + 2.53313i 0.525942 + 1.79119i 0.607256 + 0.794506i \(0.292270\pi\)
−0.0813139 + 0.996689i \(0.525912\pi\)
\(3\) 1.34601 1.16633i 0.777120 0.673379i −0.173118 0.984901i \(-0.555384\pi\)
0.950239 + 0.311522i \(0.100839\pi\)
\(4\) −4.18102 + 2.68698i −2.09051 + 1.34349i
\(5\) 2.14584 0.628789i 0.959648 0.281203i
\(6\) 3.95561 + 2.54212i 1.61487 + 1.03782i
\(7\) −1.87277 0.855264i −0.707839 0.323259i 0.0287625 0.999586i \(-0.490843\pi\)
−0.736601 + 0.676327i \(0.763571\pi\)
\(8\) −5.92582 5.13475i −2.09509 1.81541i
\(9\) 0.0244873 0.170313i 0.00816245 0.0567711i
\(10\) 3.18887 + 4.96800i 1.00841 + 1.57102i
\(11\) −5.55748 1.63182i −1.67564 0.492013i −0.700511 0.713641i \(-0.747045\pi\)
−0.975131 + 0.221628i \(0.928863\pi\)
\(12\) −2.49381 + 8.49314i −0.719901 + 2.45176i
\(13\) 2.87256 1.31185i 0.796703 0.363842i 0.0248891 0.999690i \(-0.492077\pi\)
0.771814 + 0.635848i \(0.219349\pi\)
\(14\) 0.773542 5.38010i 0.206738 1.43789i
\(15\) 2.15495 3.34911i 0.556406 0.864735i
\(16\) 4.47020 9.78837i 1.11755 2.44709i
\(17\) 1.10511 1.71958i 0.268029 0.417060i −0.680984 0.732298i \(-0.738448\pi\)
0.949013 + 0.315238i \(0.102084\pi\)
\(18\) 0.449639 0.0646484i 0.105981 0.0152378i
\(19\) −1.77165 + 1.13857i −0.406444 + 0.261206i −0.727851 0.685736i \(-0.759481\pi\)
0.321407 + 0.946941i \(0.395844\pi\)
\(20\) −7.28225 + 8.39480i −1.62836 + 1.87713i
\(21\) −3.51828 + 1.03306i −0.767752 + 0.225432i
\(22\) 15.2916i 3.26017i
\(23\) 1.21456 + 4.63949i 0.253253 + 0.967400i
\(24\) −13.9650 −2.85060
\(25\) 4.20925 2.69856i 0.841850 0.539712i
\(26\) 5.45969 + 6.30081i 1.07073 + 1.23569i
\(27\) 2.72301 + 4.23709i 0.524044 + 0.815428i
\(28\) 10.1281 1.45621i 1.91404 0.275197i
\(29\) 1.74171 + 1.11933i 0.323428 + 0.207855i 0.692272 0.721637i \(-0.256610\pi\)
−0.368844 + 0.929491i \(0.620246\pi\)
\(30\) 10.0866 + 2.96773i 1.84155 + 0.541831i
\(31\) −1.04153 + 1.20200i −0.187065 + 0.215885i −0.841534 0.540204i \(-0.818347\pi\)
0.654469 + 0.756089i \(0.272892\pi\)
\(32\) 12.5978 + 1.81129i 2.22699 + 0.320193i
\(33\) −9.38367 + 4.28538i −1.63349 + 0.745989i
\(34\) 5.17791 + 1.52037i 0.888004 + 0.260742i
\(35\) −4.55643 0.657682i −0.770178 0.111169i
\(36\) 0.355246 + 0.777880i 0.0592076 + 0.129647i
\(37\) −0.620561 0.0892232i −0.102020 0.0146682i 0.0911159 0.995840i \(-0.470957\pi\)
−0.193136 + 0.981172i \(0.561866\pi\)
\(38\) −4.20189 3.64095i −0.681636 0.590641i
\(39\) 2.33645 5.11610i 0.374131 0.819232i
\(40\) −15.9445 7.29226i −2.52105 1.15301i
\(41\) 0.289709 + 2.01497i 0.0452449 + 0.314685i 0.999858 + 0.0168374i \(0.00535976\pi\)
−0.954613 + 0.297848i \(0.903731\pi\)
\(42\) −5.23376 8.14389i −0.807586 1.25663i
\(43\) 3.14193 2.72250i 0.479141 0.415178i −0.381517 0.924362i \(-0.624598\pi\)
0.860658 + 0.509184i \(0.170053\pi\)
\(44\) 27.6206 8.11014i 4.16396 1.22265i
\(45\) −0.0545453 0.380862i −0.00813113 0.0567756i
\(46\) −10.8491 + 6.52746i −1.59961 + 0.962421i
\(47\) 0.403164i 0.0588075i −0.999568 0.0294037i \(-0.990639\pi\)
0.999568 0.0294037i \(-0.00936085\pi\)
\(48\) −5.39949 18.3890i −0.779349 2.65422i
\(49\) −1.80825 2.08683i −0.258321 0.298119i
\(50\) 9.96663 + 8.65540i 1.40949 + 1.22406i
\(51\) −0.518105 3.60350i −0.0725492 0.504591i
\(52\) −8.48529 + 13.2034i −1.17670 + 1.83098i
\(53\) −7.50209 3.42609i −1.03049 0.470610i −0.172899 0.984940i \(-0.555313\pi\)
−0.857593 + 0.514330i \(0.828041\pi\)
\(54\) −8.70774 + 10.0493i −1.18497 + 1.36753i
\(55\) −12.9515 0.00714551i −1.74638 0.000963500i
\(56\) 6.70611 + 14.6843i 0.896141 + 1.96228i
\(57\) −1.05672 + 3.59885i −0.139965 + 0.476679i
\(58\) −1.53994 + 5.24454i −0.202203 + 0.688642i
\(59\) 3.73431 + 8.17700i 0.486166 + 1.06455i 0.980722 + 0.195409i \(0.0626033\pi\)
−0.494556 + 0.869146i \(0.664669\pi\)
\(60\) −0.0109200 + 19.7930i −0.00140977 + 2.55526i
\(61\) 0.892000 1.02942i 0.114209 0.131804i −0.695766 0.718268i \(-0.744935\pi\)
0.809975 + 0.586464i \(0.199481\pi\)
\(62\) −3.81950 1.74431i −0.485077 0.221527i
\(63\) −0.191522 + 0.298014i −0.0241295 + 0.0375462i
\(64\) 1.71909 + 11.9565i 0.214886 + 1.49457i
\(65\) 5.33916 4.62126i 0.662242 0.573196i
\(66\) −17.8350 20.5826i −2.19533 2.53355i
\(67\) 1.89660 + 6.45923i 0.231707 + 0.789121i 0.990467 + 0.137751i \(0.0439873\pi\)
−0.758760 + 0.651370i \(0.774195\pi\)
\(68\) 10.1590i 1.23196i
\(69\) 7.04596 + 4.82824i 0.848234 + 0.581251i
\(70\) −1.72306 12.0312i −0.205944 1.43801i
\(71\) −13.3319 + 3.91459i −1.58220 + 0.464577i −0.950524 0.310653i \(-0.899452\pi\)
−0.631680 + 0.775229i \(0.717634\pi\)
\(72\) −1.01962 + 0.883509i −0.120164 + 0.104123i
\(73\) −5.58084 8.68396i −0.653188 1.01638i −0.997005 0.0773434i \(-0.975356\pi\)
0.343817 0.939037i \(-0.388280\pi\)
\(74\) −0.235556 1.63833i −0.0273828 0.190452i
\(75\) 2.51830 8.54165i 0.290788 0.986305i
\(76\) 4.34798 9.52075i 0.498748 1.09211i
\(77\) 9.01222 + 7.80913i 1.02704 + 0.889933i
\(78\) 14.6976 + 2.11320i 1.66418 + 0.239272i
\(79\) −3.54206 7.75603i −0.398513 0.872621i −0.997419 0.0718020i \(-0.977125\pi\)
0.598906 0.800819i \(-0.295602\pi\)
\(80\) 3.43750 23.8151i 0.384324 2.66261i
\(81\) 9.10231 + 2.67268i 1.01137 + 0.296965i
\(82\) −4.88870 + 2.23259i −0.539867 + 0.246549i
\(83\) 8.15053 + 1.17187i 0.894637 + 0.128629i 0.574272 0.818665i \(-0.305285\pi\)
0.320365 + 0.947294i \(0.396194\pi\)
\(84\) 11.9342 13.7728i 1.30213 1.50273i
\(85\) 1.29013 4.38483i 0.139934 0.475602i
\(86\) 9.23341 + 5.93395i 0.995664 + 0.639875i
\(87\) 3.64987 0.524772i 0.391307 0.0562615i
\(88\) 24.5536 + 38.2062i 2.61742 + 4.07279i
\(89\) 2.09382 + 2.41639i 0.221944 + 0.256137i 0.855791 0.517321i \(-0.173071\pi\)
−0.633847 + 0.773458i \(0.718525\pi\)
\(90\) 0.924203 0.421453i 0.0974196 0.0444251i
\(91\) −6.50160 −0.681553
\(92\) −17.5443 16.1343i −1.82912 1.68212i
\(93\) 2.83267i 0.293734i
\(94\) 1.02127 0.299871i 0.105336 0.0309293i
\(95\) −3.08575 + 3.55718i −0.316591 + 0.364959i
\(96\) 19.0693 12.2551i 1.94625 1.25078i
\(97\) 9.91281 1.42525i 1.00649 0.144712i 0.380698 0.924699i \(-0.375684\pi\)
0.625795 + 0.779987i \(0.284775\pi\)
\(98\) 3.94125 6.13270i 0.398126 0.619497i
\(99\) −0.414009 + 0.906553i −0.0416095 + 0.0911120i
\(100\) −10.3480 + 22.5929i −1.03480 + 2.25929i
\(101\) −2.66635 + 18.5449i −0.265312 + 1.84529i 0.225780 + 0.974178i \(0.427507\pi\)
−0.491092 + 0.871108i \(0.663402\pi\)
\(102\) 8.74278 3.99269i 0.865664 0.395335i
\(103\) 3.68489 12.5496i 0.363083 1.23655i −0.552192 0.833717i \(-0.686208\pi\)
0.915275 0.402830i \(-0.131973\pi\)
\(104\) −23.7583 6.97606i −2.32969 0.684059i
\(105\) −6.90009 + 4.42904i −0.673380 + 0.432230i
\(106\) 3.09872 21.5521i 0.300975 2.09332i
\(107\) −1.70218 1.47495i −0.164556 0.142588i 0.568690 0.822552i \(-0.307450\pi\)
−0.733246 + 0.679963i \(0.761996\pi\)
\(108\) −22.7699 10.3987i −2.19104 1.00061i
\(109\) 5.07750 + 3.26311i 0.486336 + 0.312549i 0.760730 0.649068i \(-0.224841\pi\)
−0.274394 + 0.961617i \(0.588477\pi\)
\(110\) −9.61517 32.8132i −0.916771 3.12862i
\(111\) −0.939346 + 0.603681i −0.0891588 + 0.0572989i
\(112\) −16.7433 + 14.5081i −1.58209 + 1.37089i
\(113\) 1.49930 + 5.10615i 0.141042 + 0.480346i 0.999469 0.0325904i \(-0.0103757\pi\)
−0.858426 + 0.512937i \(0.828557\pi\)
\(114\) −9.90233 −0.927438
\(115\) 5.52350 + 9.19189i 0.515069 + 0.857148i
\(116\) −10.2898 −0.955379
\(117\) −0.153084 0.521358i −0.0141527 0.0481996i
\(118\) −17.9358 + 15.5415i −1.65113 + 1.43071i
\(119\) −3.54031 + 2.27522i −0.324540 + 0.208569i
\(120\) −29.9667 + 8.78106i −2.73557 + 0.801597i
\(121\) 18.9689 + 12.1906i 1.72445 + 1.10824i
\(122\) 3.27113 + 1.49387i 0.296154 + 0.135249i
\(123\) 2.74006 + 2.37428i 0.247063 + 0.214081i
\(124\) 1.12494 7.82415i 0.101023 0.702629i
\(125\) 7.33554 8.43741i 0.656111 0.754665i
\(126\) −0.897361 0.263489i −0.0799433 0.0234735i
\(127\) 2.44357 8.32204i 0.216832 0.738461i −0.777189 0.629268i \(-0.783355\pi\)
0.994020 0.109194i \(-0.0348269\pi\)
\(128\) −5.85445 + 2.67364i −0.517465 + 0.236318i
\(129\) 1.05376 7.32904i 0.0927781 0.645286i
\(130\) 15.6775 + 10.0875i 1.37501 + 0.884735i
\(131\) 6.45185 14.1276i 0.563701 1.23433i −0.386383 0.922338i \(-0.626276\pi\)
0.950084 0.311994i \(-0.100997\pi\)
\(132\) 27.7186 43.1310i 2.41259 3.75407i
\(133\) 4.29166 0.617047i 0.372134 0.0535048i
\(134\) −14.9514 + 9.60869i −1.29160 + 0.830064i
\(135\) 8.50738 + 7.37991i 0.732198 + 0.635161i
\(136\) −15.3783 + 4.51548i −1.31868 + 0.387199i
\(137\) 10.4860i 0.895881i 0.894063 + 0.447940i \(0.147842\pi\)
−0.894063 + 0.447940i \(0.852158\pi\)
\(138\) −6.98981 + 21.4396i −0.595012 + 1.82506i
\(139\) 13.5504 1.14933 0.574664 0.818389i \(-0.305133\pi\)
0.574664 + 0.818389i \(0.305133\pi\)
\(140\) 20.8177 9.49326i 1.75942 0.802327i
\(141\) −0.470220 0.542663i −0.0395997 0.0457005i
\(142\) −19.8324 30.8598i −1.66430 2.58969i
\(143\) −18.1049 + 2.60309i −1.51401 + 0.217681i
\(144\) −1.55762 1.00102i −0.129802 0.0834187i
\(145\) 4.44126 + 1.30673i 0.368826 + 0.108518i
\(146\) 17.8466 20.5961i 1.47700 1.70454i
\(147\) −4.86785 0.699891i −0.401493 0.0577260i
\(148\) 2.83432 1.29439i 0.232980 0.106398i
\(149\) −17.5725 5.15974i −1.43959 0.422702i −0.533506 0.845796i \(-0.679126\pi\)
−0.906086 + 0.423094i \(0.860944\pi\)
\(150\) 23.5102 + 0.0259417i 1.91960 + 0.00211813i
\(151\) −7.26401 15.9060i −0.591137 1.29441i −0.934753 0.355299i \(-0.884379\pi\)
0.343615 0.939110i \(-0.388348\pi\)
\(152\) 16.3447 + 2.35002i 1.32573 + 0.190612i
\(153\) −0.265807 0.230323i −0.0214892 0.0186205i
\(154\) −13.0783 + 28.6375i −1.05388 + 2.30768i
\(155\) −1.47916 + 3.23419i −0.118809 + 0.259777i
\(156\) 3.97813 + 27.6685i 0.318505 + 2.21525i
\(157\) −0.612997 0.953842i −0.0489225 0.0761249i 0.815931 0.578150i \(-0.196225\pi\)
−0.864853 + 0.502025i \(0.832589\pi\)
\(158\) 17.0125 14.7414i 1.35344 1.17276i
\(159\) −14.0938 + 4.13833i −1.11771 + 0.328191i
\(160\) 28.1717 4.03462i 2.22717 0.318965i
\(161\) 1.69340 9.72744i 0.133459 0.766630i
\(162\) 25.0453i 1.96774i
\(163\) 2.18334 + 7.43577i 0.171012 + 0.582415i 0.999741 + 0.0227638i \(0.00724658\pi\)
−0.828728 + 0.559651i \(0.810935\pi\)
\(164\) −6.62546 7.64619i −0.517361 0.597067i
\(165\) −17.4412 + 15.0961i −1.35780 + 1.17523i
\(166\) 3.09382 + 21.5180i 0.240127 + 1.67012i
\(167\) 5.15274 8.01781i 0.398731 0.620437i −0.582601 0.812758i \(-0.697965\pi\)
0.981332 + 0.192321i \(0.0616015\pi\)
\(168\) 26.1532 + 11.9438i 2.01776 + 0.921482i
\(169\) −1.98257 + 2.28801i −0.152506 + 0.176001i
\(170\) 12.0670 + 0.00665748i 0.925493 + 0.000510605i
\(171\) 0.150530 + 0.329615i 0.0115113 + 0.0252063i
\(172\) −5.82119 + 19.8251i −0.443861 + 1.51165i
\(173\) 3.16279 10.7715i 0.240463 0.818941i −0.747502 0.664260i \(-0.768747\pi\)
0.987964 0.154681i \(-0.0494350\pi\)
\(174\) 4.04407 + 8.85528i 0.306580 + 0.671317i
\(175\) −10.1909 + 1.45376i −0.770361 + 0.109894i
\(176\) −40.8159 + 47.1041i −3.07661 + 3.55060i
\(177\) 14.5635 + 6.65091i 1.09466 + 0.499913i
\(178\) −4.56367 + 7.10121i −0.342062 + 0.532259i
\(179\) −0.703686 4.89425i −0.0525960 0.365813i −0.999073 0.0430426i \(-0.986295\pi\)
0.946477 0.322771i \(-0.104614\pi\)
\(180\) 1.25142 + 1.44583i 0.0932755 + 0.107766i
\(181\) −5.18515 5.98398i −0.385409 0.444786i 0.529583 0.848258i \(-0.322349\pi\)
−0.914992 + 0.403472i \(0.867803\pi\)
\(182\) −4.83586 16.4694i −0.358458 1.22079i
\(183\) 2.42598i 0.179333i
\(184\) 16.6254 33.7292i 1.22564 2.48655i
\(185\) −1.38773 + 0.198744i −0.102028 + 0.0146119i
\(186\) −7.17552 + 2.10692i −0.526135 + 0.154487i
\(187\) −8.94768 + 7.75321i −0.654319 + 0.566971i
\(188\) 1.08329 + 1.68563i 0.0790072 + 0.122938i
\(189\) −1.47574 10.2640i −0.107344 0.746594i
\(190\) −11.3060 5.17080i −0.820221 0.375129i
\(191\) −5.60445 + 12.2720i −0.405524 + 0.887973i 0.591157 + 0.806557i \(0.298672\pi\)
−0.996680 + 0.0814161i \(0.974056\pi\)
\(192\) 16.2591 + 14.0886i 1.17340 + 1.01676i
\(193\) 5.46991 + 0.786454i 0.393733 + 0.0566102i 0.336338 0.941741i \(-0.390812\pi\)
0.0573948 + 0.998352i \(0.481721\pi\)
\(194\) 10.9834 + 24.0504i 0.788565 + 1.72672i
\(195\) 1.79669 12.4475i 0.128663 0.891382i
\(196\) 13.1676 + 3.86635i 0.940542 + 0.276168i
\(197\) −17.6868 + 8.07729i −1.26013 + 0.575483i −0.929690 0.368344i \(-0.879925\pi\)
−0.330442 + 0.943826i \(0.607198\pi\)
\(198\) −2.60436 0.374450i −0.185084 0.0266110i
\(199\) 7.00184 8.08056i 0.496347 0.572815i −0.451203 0.892421i \(-0.649005\pi\)
0.947551 + 0.319606i \(0.103550\pi\)
\(200\) −38.7997 5.62226i −2.74355 0.397554i
\(201\) 10.0864 + 6.48215i 0.711441 + 0.457216i
\(202\) −48.9599 + 7.03937i −3.44481 + 0.495288i
\(203\) −2.30450 3.58587i −0.161744 0.251679i
\(204\) 11.8487 + 13.6742i 0.829577 + 0.957383i
\(205\) 1.88866 + 4.14163i 0.131910 + 0.289264i
\(206\) 34.5306 2.40586
\(207\) 0.819907 0.0932464i 0.0569875 0.00648107i
\(208\) 33.9819i 2.35622i
\(209\) 11.7038 3.43656i 0.809571 0.237712i
\(210\) −16.3516 14.1845i −1.12837 0.978826i
\(211\) 10.5813 6.80021i 0.728449 0.468146i −0.123118 0.992392i \(-0.539289\pi\)
0.851567 + 0.524246i \(0.175653\pi\)
\(212\) 40.5722 5.83341i 2.78651 0.400640i
\(213\) −13.3792 + 20.8184i −0.916726 + 1.42645i
\(214\) 2.47016 5.40890i 0.168857 0.369745i
\(215\) 5.03021 7.81767i 0.343057 0.533160i
\(216\) 5.62032 39.0902i 0.382414 2.65975i
\(217\) 2.97857 1.36027i 0.202199 0.0923411i
\(218\) −4.48927 + 15.2891i −0.304052 + 1.03551i
\(219\) −17.6402 5.17963i −1.19201 0.350007i
\(220\) 54.1698 34.7706i 3.65213 2.34423i
\(221\) 0.918649 6.38934i 0.0617950 0.429794i
\(222\) −2.22788 1.93047i −0.149526 0.129565i
\(223\) −4.55894 2.08200i −0.305289 0.139421i 0.256880 0.966443i \(-0.417306\pi\)
−0.562169 + 0.827022i \(0.690033\pi\)
\(224\) −22.0436 14.1665i −1.47285 0.946542i
\(225\) −0.356527 0.782971i −0.0237685 0.0521981i
\(226\) −11.8194 + 7.59586i −0.786214 + 0.505269i
\(227\) −10.5661 + 9.15555i −0.701294 + 0.607675i −0.930755 0.365643i \(-0.880849\pi\)
0.229461 + 0.973318i \(0.426304\pi\)
\(228\) −5.25187 17.8862i −0.347813 1.18454i
\(229\) −11.7736 −0.778020 −0.389010 0.921234i \(-0.627183\pi\)
−0.389010 + 0.921234i \(0.627183\pi\)
\(230\) −19.1759 + 20.8286i −1.26442 + 1.37340i
\(231\) 21.2385 1.39739
\(232\) −4.57359 15.5762i −0.300271 1.02263i
\(233\) 3.75185 3.25100i 0.245792 0.212980i −0.523248 0.852180i \(-0.675280\pi\)
0.769040 + 0.639200i \(0.220735\pi\)
\(234\) 1.20680 0.775566i 0.0788913 0.0507004i
\(235\) −0.253505 0.865124i −0.0165368 0.0564345i
\(236\) −37.5846 24.1542i −2.44655 1.57230i
\(237\) −13.8137 6.30851i −0.897297 0.409782i
\(238\) −8.39669 7.27578i −0.544277 0.471619i
\(239\) −2.02431 + 14.0794i −0.130942 + 0.910719i 0.813389 + 0.581721i \(0.197620\pi\)
−0.944330 + 0.328999i \(0.893289\pi\)
\(240\) −23.1492 36.0646i −1.49428 2.32796i
\(241\) 3.60661 + 1.05900i 0.232322 + 0.0682160i 0.395822 0.918327i \(-0.370460\pi\)
−0.163499 + 0.986543i \(0.552278\pi\)
\(242\) −16.7714 + 57.1181i −1.07811 + 3.67169i
\(243\) 1.62459 0.741924i 0.104217 0.0475945i
\(244\) −0.963432 + 6.70082i −0.0616774 + 0.428976i
\(245\) −5.19239 3.34099i −0.331729 0.213448i
\(246\) −3.97632 + 8.70692i −0.253521 + 0.555133i
\(247\) −3.59552 + 5.59474i −0.228778 + 0.355985i
\(248\) 12.3439 1.77478i 0.783838 0.112699i
\(249\) 12.3375 7.92883i 0.781857 0.502469i
\(250\) 26.8292 + 12.3062i 1.69683 + 0.778312i
\(251\) −16.9265 + 4.97006i −1.06839 + 0.313708i −0.768225 0.640180i \(-0.778860\pi\)
−0.300165 + 0.953887i \(0.597042\pi\)
\(252\) 1.76062i 0.110908i
\(253\) 0.820947 27.7658i 0.0516125 1.74562i
\(254\) 22.8983 1.43677
\(255\) −3.37761 7.40675i −0.211514 0.463829i
\(256\) 4.69358 + 5.41668i 0.293349 + 0.338542i
\(257\) −3.33079 5.18281i −0.207769 0.323295i 0.721693 0.692214i \(-0.243364\pi\)
−0.929462 + 0.368919i \(0.879728\pi\)
\(258\) 19.3492 2.78200i 1.20463 0.173199i
\(259\) 1.08586 + 0.697838i 0.0674718 + 0.0433615i
\(260\) −9.90593 + 33.6678i −0.614340 + 2.08799i
\(261\) 0.233287 0.269227i 0.0144401 0.0166647i
\(262\) 40.5859 + 5.83537i 2.50740 + 0.360510i
\(263\) 18.6921 8.53638i 1.15260 0.526376i 0.254895 0.966969i \(-0.417959\pi\)
0.897707 + 0.440593i \(0.145232\pi\)
\(264\) 77.6103 + 22.7884i 4.77658 + 1.40253i
\(265\) −18.2526 2.63460i −1.12125 0.161842i
\(266\) 4.75517 + 10.4124i 0.291558 + 0.638424i
\(267\) 5.63661 + 0.810422i 0.344955 + 0.0495970i
\(268\) −25.2855 21.9100i −1.54456 1.33837i
\(269\) −6.21519 + 13.6094i −0.378947 + 0.829777i 0.620031 + 0.784577i \(0.287120\pi\)
−0.998978 + 0.0452002i \(0.985607\pi\)
\(270\) −12.3665 + 27.0394i −0.752603 + 1.64557i
\(271\) −2.11531 14.7123i −0.128496 0.893710i −0.947462 0.319868i \(-0.896361\pi\)
0.818966 0.573842i \(-0.194548\pi\)
\(272\) −11.8919 18.5041i −0.721050 1.12198i
\(273\) −8.75124 + 7.58299i −0.529649 + 0.458943i
\(274\) −26.5625 + 7.79944i −1.60470 + 0.471181i
\(275\) −27.7964 + 8.12845i −1.67618 + 0.490164i
\(276\) −42.4327 1.25460i −2.55415 0.0755181i
\(277\) 9.98105i 0.599703i −0.953986 0.299852i \(-0.903063\pi\)
0.953986 0.299852i \(-0.0969372\pi\)
\(278\) 10.0787 + 34.3249i 0.604481 + 2.05867i
\(279\) 0.179211 + 0.206821i 0.0107291 + 0.0123820i
\(280\) 23.6236 + 27.2935i 1.41178 + 1.63110i
\(281\) −3.63986 25.3158i −0.217136 1.51021i −0.748538 0.663092i \(-0.769244\pi\)
0.531402 0.847120i \(-0.321665\pi\)
\(282\) 1.02489 1.59476i 0.0610313 0.0949666i
\(283\) 6.36619 + 2.90734i 0.378431 + 0.172824i 0.595544 0.803323i \(-0.296937\pi\)
−0.217113 + 0.976147i \(0.569664\pi\)
\(284\) 45.2224 52.1895i 2.68346 3.09688i
\(285\) −0.00462720 + 8.38699i −0.000274092 + 0.496803i
\(286\) −20.0603 43.9259i −1.18619 2.59739i
\(287\) 1.18077 4.02134i 0.0696988 0.237372i
\(288\) 0.616972 2.10121i 0.0363554 0.123815i
\(289\) 5.32635 + 11.6631i 0.313315 + 0.686064i
\(290\) −0.00674315 + 12.2222i −0.000395971 + 0.717714i
\(291\) 11.6805 13.4800i 0.684721 0.790210i
\(292\) 46.6672 + 21.3122i 2.73099 + 1.24720i
\(293\) −5.62093 + 8.74634i −0.328378 + 0.510966i −0.965710 0.259623i \(-0.916402\pi\)
0.637332 + 0.770589i \(0.280038\pi\)
\(294\) −1.84776 12.8515i −0.107764 0.749513i
\(295\) 13.1548 + 15.1984i 0.765904 + 0.884886i
\(296\) 3.21919 + 3.71515i 0.187112 + 0.215939i
\(297\) −8.21890 27.9910i −0.476909 1.62420i
\(298\) 48.3512i 2.80091i
\(299\) 9.57520 + 11.7339i 0.553748 + 0.678587i
\(300\) 12.4222 + 42.4794i 0.717195 + 2.45255i
\(301\) −8.21257 + 2.41143i −0.473364 + 0.138992i
\(302\) 34.8890 30.2315i 2.00764 1.73963i
\(303\) 18.0405 + 28.0715i 1.03640 + 1.61267i
\(304\) 3.22511 + 22.4312i 0.184973 + 1.28652i
\(305\) 1.26680 2.76985i 0.0725366 0.158601i
\(306\) 0.385733 0.844637i 0.0220509 0.0482847i
\(307\) 1.97633 + 1.71250i 0.112795 + 0.0977376i 0.709432 0.704773i \(-0.248951\pi\)
−0.596637 + 0.802511i \(0.703497\pi\)
\(308\) −58.6632 8.43450i −3.34265 0.480600i
\(309\) −9.67700 21.1897i −0.550505 1.20544i
\(310\) −9.29283 1.34134i −0.527797 0.0761831i
\(311\) 25.6899 + 7.54323i 1.45674 + 0.427737i 0.911764 0.410715i \(-0.134721\pi\)
0.544975 + 0.838452i \(0.316539\pi\)
\(312\) −40.1153 + 18.3200i −2.27108 + 1.03717i
\(313\) −16.4725 2.36838i −0.931079 0.133869i −0.339948 0.940444i \(-0.610409\pi\)
−0.591131 + 0.806575i \(0.701318\pi\)
\(314\) 1.96026 2.26227i 0.110624 0.127667i
\(315\) −0.223587 + 0.759916i −0.0125977 + 0.0428164i
\(316\) 35.6497 + 22.9107i 2.00545 + 1.28883i
\(317\) 25.9491 3.73091i 1.45744 0.209549i 0.632411 0.774633i \(-0.282065\pi\)
0.825033 + 0.565084i \(0.191156\pi\)
\(318\) −20.9659 32.6235i −1.17571 1.82944i
\(319\) −7.85298 9.06282i −0.439682 0.507421i
\(320\) 11.2070 + 24.5758i 0.626492 + 1.37383i
\(321\) −4.01142 −0.223896
\(322\) 25.9004 2.94560i 1.44337 0.164152i
\(323\) 4.30474i 0.239522i
\(324\) −45.2384 + 13.2832i −2.51324 + 0.737955i
\(325\) 8.55118 13.2737i 0.474334 0.736291i
\(326\) −17.2118 + 11.0614i −0.953275 + 0.612633i
\(327\) 10.6402 1.52983i 0.588406 0.0846000i
\(328\) 8.62961 13.4279i 0.476490 0.741433i
\(329\) −0.344811 + 0.755031i −0.0190101 + 0.0416262i
\(330\) −51.2131 32.9526i −2.81919 1.81398i
\(331\) −1.00431 + 6.98511i −0.0552017 + 0.383936i 0.943427 + 0.331581i \(0.107582\pi\)
−0.998629 + 0.0523554i \(0.983327\pi\)
\(332\) −37.2263 + 17.0007i −2.04306 + 0.933034i
\(333\) −0.0303918 + 0.103505i −0.00166546 + 0.00567204i
\(334\) 24.1428 + 7.08895i 1.32103 + 0.387890i
\(335\) 8.13130 + 12.6679i 0.444260 + 0.692122i
\(336\) −5.61544 + 39.0562i −0.306347 + 2.13069i
\(337\) 12.3520 + 10.7031i 0.672857 + 0.583034i 0.922825 0.385220i \(-0.125874\pi\)
−0.249967 + 0.968254i \(0.580420\pi\)
\(338\) −7.27046 3.32031i −0.395461 0.180601i
\(339\) 7.97352 + 5.12427i 0.433062 + 0.278312i
\(340\) 6.38788 + 21.7996i 0.346432 + 1.18225i
\(341\) 7.74975 4.98046i 0.419672 0.269707i
\(342\) −0.722996 + 0.626479i −0.0390951 + 0.0338761i
\(343\) 5.66189 + 19.2826i 0.305713 + 1.04116i
\(344\) −32.5979 −1.75756
\(345\) 18.1554 + 5.93019i 0.977456 + 0.319271i
\(346\) 29.6381 1.59335
\(347\) −5.89187 20.0659i −0.316292 1.07719i −0.952212 0.305437i \(-0.901197\pi\)
0.635920 0.771755i \(-0.280621\pi\)
\(348\) −13.8501 + 12.0012i −0.742445 + 0.643332i
\(349\) −20.8831 + 13.4207i −1.11785 + 0.718396i −0.962989 0.269541i \(-0.913128\pi\)
−0.154857 + 0.987937i \(0.549492\pi\)
\(350\) −11.2625 24.7336i −0.602006 1.32207i
\(351\) 13.3804 + 8.59908i 0.714194 + 0.458985i
\(352\) −67.0562 30.6235i −3.57411 1.63224i
\(353\) −9.33634 8.08999i −0.496923 0.430587i 0.369997 0.929033i \(-0.379359\pi\)
−0.866921 + 0.498446i \(0.833904\pi\)
\(354\) −6.01541 + 41.8381i −0.319715 + 2.22367i
\(355\) −26.1466 + 16.7830i −1.38772 + 0.890751i
\(356\) −15.2471 4.47695i −0.808094 0.237278i
\(357\) −2.11165 + 7.19163i −0.111760 + 0.380621i
\(358\) 11.8744 5.42284i 0.627580 0.286606i
\(359\) −1.64830 + 11.4642i −0.0869940 + 0.605057i 0.898959 + 0.438033i \(0.144325\pi\)
−0.985953 + 0.167024i \(0.946584\pi\)
\(360\) −1.63241 + 2.53700i −0.0860354 + 0.133711i
\(361\) −6.05049 + 13.2487i −0.318447 + 0.697301i
\(362\) 11.3015 17.5855i 0.593995 0.924275i
\(363\) 39.7506 5.71527i 2.08637 0.299974i
\(364\) 27.1833 17.4697i 1.42479 0.915659i
\(365\) −17.4360 15.1252i −0.912640 0.791689i
\(366\) 6.14532 1.80443i 0.321221 0.0943190i
\(367\) 8.34483i 0.435596i 0.975994 + 0.217798i \(0.0698875\pi\)
−0.975994 + 0.217798i \(0.930113\pi\)
\(368\) 50.8423 + 8.85089i 2.65034 + 0.461385i
\(369\) 0.350270 0.0182343
\(370\) −1.53563 3.36747i −0.0798335 0.175066i
\(371\) 11.1195 + 12.8325i 0.577293 + 0.666232i
\(372\) −7.61132 11.8434i −0.394629 0.614054i
\(373\) −27.1960 + 3.91020i −1.40816 + 0.202462i −0.804107 0.594485i \(-0.797356\pi\)
−0.604049 + 0.796947i \(0.706447\pi\)
\(374\) −26.2951 16.8989i −1.35969 0.873819i
\(375\) 0.0329579 19.9125i 0.00170194 1.02828i
\(376\) −2.07015 + 2.38908i −0.106760 + 0.123207i
\(377\) 6.47156 + 0.930470i 0.333302 + 0.0479217i
\(378\) 24.9023 11.3725i 1.28084 0.584939i
\(379\) 9.48787 + 2.78589i 0.487359 + 0.143102i 0.516175 0.856483i \(-0.327355\pi\)
−0.0288157 + 0.999585i \(0.509174\pi\)
\(380\) 3.34352 23.1640i 0.171519 1.18829i
\(381\) −6.41713 14.0516i −0.328760 0.719883i
\(382\) −35.2552 5.06894i −1.80381 0.259349i
\(383\) 8.50071 + 7.36591i 0.434366 + 0.376380i 0.844421 0.535681i \(-0.179945\pi\)
−0.410055 + 0.912061i \(0.634490\pi\)
\(384\) −4.76182 + 10.4269i −0.243001 + 0.532097i
\(385\) 24.2491 + 11.0903i 1.23585 + 0.565217i
\(386\) 2.07630 + 14.4410i 0.105681 + 0.735026i
\(387\) −0.386740 0.601780i −0.0196591 0.0305902i
\(388\) −37.6161 + 32.5945i −1.90967 + 1.65473i
\(389\) 7.81767 2.29548i 0.396372 0.116385i −0.0774712 0.996995i \(-0.524685\pi\)
0.473843 + 0.880609i \(0.342866\pi\)
\(390\) 32.8674 4.70712i 1.66431 0.238354i
\(391\) 9.32021 + 3.03861i 0.471343 + 0.153669i
\(392\) 21.6511i 1.09355i
\(393\) −7.79310 26.5409i −0.393110 1.33881i
\(394\) −33.6162 38.7951i −1.69356 1.95447i
\(395\) −12.4776 14.4160i −0.627816 0.725346i
\(396\) −0.704909 4.90275i −0.0354230 0.246372i
\(397\) −7.26030 + 11.2972i −0.364384 + 0.566992i −0.974238 0.225521i \(-0.927592\pi\)
0.609854 + 0.792514i \(0.291228\pi\)
\(398\) 25.6770 + 11.7263i 1.28707 + 0.587787i
\(399\) 5.05694 5.83602i 0.253164 0.292167i
\(400\) −7.59834 53.2648i −0.379917 2.66324i
\(401\) −5.88901 12.8951i −0.294083 0.643952i 0.703701 0.710497i \(-0.251530\pi\)
−0.997783 + 0.0665450i \(0.978802\pi\)
\(402\) −8.91791 + 30.3716i −0.444785 + 1.51480i
\(403\) −1.41503 + 4.81914i −0.0704875 + 0.240058i
\(404\) −38.6817 84.7010i −1.92448 4.21403i
\(405\) 21.2127 + 0.0117033i 1.05407 + 0.000581540i
\(406\) 7.36940 8.50474i 0.365737 0.422083i
\(407\) 3.30316 + 1.50850i 0.163731 + 0.0747737i
\(408\) −15.4329 + 24.0140i −0.764041 + 1.18887i
\(409\) −2.61692 18.2011i −0.129398 0.899985i −0.946319 0.323235i \(-0.895230\pi\)
0.816921 0.576750i \(-0.195679\pi\)
\(410\) −9.08653 + 7.86475i −0.448752 + 0.388412i
\(411\) 12.2301 + 14.1143i 0.603267 + 0.696207i
\(412\) 18.3139 + 62.3713i 0.902259 + 3.07281i
\(413\) 18.5074i 0.910690i
\(414\) 0.846048 + 2.00758i 0.0415810 + 0.0986671i
\(415\) 18.2266 2.61032i 0.894708 0.128136i
\(416\) 38.5640 11.3234i 1.89075 0.555175i
\(417\) 18.2390 15.8042i 0.893167 0.773933i
\(418\) 17.4105 + 27.0913i 0.851575 + 1.32508i
\(419\) 4.24524 + 29.5263i 0.207394 + 1.44245i 0.781619 + 0.623757i \(0.214394\pi\)
−0.574225 + 0.818698i \(0.694697\pi\)
\(420\) 16.9487 37.0583i 0.827010 1.80826i
\(421\) −14.0057 + 30.6682i −0.682595 + 1.49468i 0.177274 + 0.984162i \(0.443272\pi\)
−0.859869 + 0.510514i \(0.829455\pi\)
\(422\) 25.0962 + 21.7460i 1.22166 + 1.05858i
\(423\) −0.0686641 0.00987241i −0.00333856 0.000480013i
\(424\) 26.8639 + 58.8238i 1.30463 + 2.85674i
\(425\) 0.0112774 10.2204i 0.000547034 0.495760i
\(426\) −62.6871 18.4066i −3.03720 0.891803i
\(427\) −2.55093 + 1.16497i −0.123448 + 0.0563770i
\(428\) 11.0800 + 1.59306i 0.535572 + 0.0770036i
\(429\) −21.3333 + 24.6200i −1.02998 + 1.18866i
\(430\) 23.5446 + 6.92744i 1.13542 + 0.334071i
\(431\) −17.0992 10.9890i −0.823639 0.529321i 0.0596115 0.998222i \(-0.481014\pi\)
−0.883251 + 0.468901i \(0.844650\pi\)
\(432\) 53.6465 7.71321i 2.58107 0.371102i
\(433\) 19.5882 + 30.4798i 0.941346 + 1.46476i 0.884587 + 0.466376i \(0.154441\pi\)
0.0567597 + 0.998388i \(0.481923\pi\)
\(434\) 5.66119 + 6.53336i 0.271746 + 0.313611i
\(435\) 7.50206 3.42108i 0.359696 0.164028i
\(436\) −29.9970 −1.43660
\(437\) −7.43414 6.83668i −0.355623 0.327043i
\(438\) 48.5375i 2.31921i
\(439\) 2.29415 0.673622i 0.109494 0.0321502i −0.226527 0.974005i \(-0.572737\pi\)
0.336020 + 0.941855i \(0.390919\pi\)
\(440\) 76.7117 + 66.5452i 3.65709 + 3.17242i
\(441\) −0.399694 + 0.256868i −0.0190330 + 0.0122318i
\(442\) 16.8683 2.42530i 0.802345 0.115360i
\(443\) −5.56770 + 8.66351i −0.264529 + 0.411616i −0.947955 0.318405i \(-0.896853\pi\)
0.683426 + 0.730020i \(0.260489\pi\)
\(444\) 2.30535 5.04800i 0.109407 0.239568i
\(445\) 6.01240 + 3.86862i 0.285015 + 0.183390i
\(446\) 1.88306 13.0970i 0.0891656 0.620160i
\(447\) −29.6707 + 13.5501i −1.40338 + 0.640900i
\(448\) 7.00653 23.8621i 0.331027 1.12738i
\(449\) 30.8344 + 9.05378i 1.45516 + 0.427275i 0.911245 0.411864i \(-0.135122\pi\)
0.543918 + 0.839138i \(0.316940\pi\)
\(450\) 1.71819 1.48550i 0.0809961 0.0700272i
\(451\) 1.67802 11.6709i 0.0790150 0.549561i
\(452\) −19.9887 17.3203i −0.940191 0.814680i
\(453\) −28.3290 12.9374i −1.33101 0.607853i
\(454\) −31.0512 19.9554i −1.45730 0.936553i
\(455\) −13.9514 + 4.08814i −0.654051 + 0.191655i
\(456\) 24.7411 15.9001i 1.15861 0.744592i
\(457\) −10.1182 + 8.76749i −0.473310 + 0.410126i −0.858581 0.512678i \(-0.828654\pi\)
0.385271 + 0.922804i \(0.374108\pi\)
\(458\) −8.75712 29.8240i −0.409194 1.39359i
\(459\) 10.2953 0.480541
\(460\) −47.7923 23.5899i −2.22833 1.09989i
\(461\) −30.5197 −1.42144 −0.710721 0.703474i \(-0.751631\pi\)
−0.710721 + 0.703474i \(0.751631\pi\)
\(462\) 15.7971 + 53.8000i 0.734948 + 2.50300i
\(463\) 15.8135 13.7024i 0.734914 0.636807i −0.204786 0.978807i \(-0.565650\pi\)
0.939700 + 0.342000i \(0.111104\pi\)
\(464\) 18.7422 12.0449i 0.870086 0.559170i
\(465\) 1.78115 + 6.07845i 0.0825990 + 0.281881i
\(466\) 11.0258 + 7.08586i 0.510761 + 0.328246i
\(467\) −29.8259 13.6210i −1.38018 0.630307i −0.419446 0.907780i \(-0.637776\pi\)
−0.960733 + 0.277474i \(0.910503\pi\)
\(468\) 2.04093 + 1.76847i 0.0943419 + 0.0817477i
\(469\) 1.97246 13.7187i 0.0910795 0.633472i
\(470\) 2.00292 1.28564i 0.0923877 0.0593020i
\(471\) −1.93759 0.568929i −0.0892796 0.0262148i
\(472\) 19.8580 67.6302i 0.914039 3.11293i
\(473\) −21.9039 + 10.0032i −1.00714 + 0.459946i
\(474\) 5.70572 39.6842i 0.262073 1.82275i
\(475\) −4.38481 + 9.57342i −0.201189 + 0.439258i
\(476\) 8.68864 19.0255i 0.398243 0.872031i
\(477\) −0.767215 + 1.19381i −0.0351284 + 0.0546608i
\(478\) −37.1706 + 5.34433i −1.70014 + 0.244444i
\(479\) −27.9627 + 17.9705i −1.27765 + 0.821093i −0.990596 0.136822i \(-0.956311\pi\)
−0.287051 + 0.957915i \(0.592675\pi\)
\(480\) 33.2138 38.2881i 1.51600 1.74760i
\(481\) −1.89964 + 0.557786i −0.0866163 + 0.0254328i
\(482\) 9.92371i 0.452012i
\(483\) −9.06603 15.0683i −0.412519 0.685632i
\(484\) −112.065 −5.09388
\(485\) 20.3751 9.29142i 0.925186 0.421902i
\(486\) 3.08775 + 3.56345i 0.140063 + 0.161642i
\(487\) −11.4573 17.8279i −0.519180 0.807860i 0.478345 0.878172i \(-0.341237\pi\)
−0.997525 + 0.0703122i \(0.977600\pi\)
\(488\) −10.5717 + 1.51998i −0.478557 + 0.0688060i
\(489\) 11.6113 + 7.46215i 0.525083 + 0.337450i
\(490\) 4.60111 15.6380i 0.207857 0.706453i
\(491\) −10.2856 + 11.8702i −0.464182 + 0.535695i −0.938784 0.344506i \(-0.888047\pi\)
0.474602 + 0.880200i \(0.342592\pi\)
\(492\) −17.8359 2.56441i −0.804104 0.115613i
\(493\) 3.84957 1.75804i 0.173376 0.0791781i
\(494\) −16.8465 4.94659i −0.757962 0.222558i
\(495\) −0.318365 + 2.20564i −0.0143095 + 0.0991362i
\(496\) 7.10970 + 15.5681i 0.319235 + 0.699027i
\(497\) 28.3155 + 4.07116i 1.27012 + 0.182616i
\(498\) 29.2613 + 25.3551i 1.31123 + 1.13619i
\(499\) 17.0012 37.2275i 0.761080 1.66653i 0.0157140 0.999877i \(-0.494998\pi\)
0.745366 0.666656i \(-0.232275\pi\)
\(500\) −7.99891 + 54.9874i −0.357722 + 2.45911i
\(501\) −2.41574 16.8018i −0.107927 0.750651i
\(502\) −25.1797 39.1803i −1.12382 1.74870i
\(503\) 19.8964 17.2403i 0.887135 0.768707i −0.0866353 0.996240i \(-0.527611\pi\)
0.973770 + 0.227533i \(0.0730660\pi\)
\(504\) 2.66515 0.782559i 0.118715 0.0348579i
\(505\) 5.93927 + 41.4709i 0.264294 + 1.84543i
\(506\) 70.9450 18.5725i 3.15389 0.825648i
\(507\) 5.39201i 0.239468i
\(508\) 12.1445 + 41.3604i 0.538826 + 1.83507i
\(509\) 4.83472 + 5.57956i 0.214295 + 0.247310i 0.852712 0.522381i \(-0.174956\pi\)
−0.638417 + 0.769690i \(0.720411\pi\)
\(510\) 16.2500 14.0650i 0.719563 0.622810i
\(511\) 3.02454 + 21.0361i 0.133798 + 0.930583i
\(512\) −17.1893 + 26.7471i −0.759667 + 1.18206i
\(513\) −9.64843 4.40629i −0.425989 0.194542i
\(514\) 10.6513 12.2923i 0.469809 0.542189i
\(515\) 0.0161356 29.2464i 0.000711019 1.28875i
\(516\) 15.2872 + 33.4743i 0.672981 + 1.47362i
\(517\) −0.657892 + 2.24057i −0.0289340 + 0.0985403i
\(518\) −0.960060 + 3.26967i −0.0421826 + 0.143661i
\(519\) −8.30590 18.1874i −0.364589 0.798338i
\(520\) −55.3679 0.0305471i −2.42804 0.00133958i
\(521\) 19.9029 22.9691i 0.871960 1.00630i −0.127935 0.991783i \(-0.540835\pi\)
0.999895 0.0145129i \(-0.00461977\pi\)
\(522\) 0.855506 + 0.390696i 0.0374445 + 0.0171003i
\(523\) 3.16834 4.93004i 0.138542 0.215576i −0.765049 0.643972i \(-0.777285\pi\)
0.903591 + 0.428397i \(0.140921\pi\)
\(524\) 10.9852 + 76.4037i 0.479890 + 3.33771i
\(525\) −12.0215 + 13.8427i −0.524663 + 0.604145i
\(526\) 35.5268 + 41.0001i 1.54904 + 1.78769i
\(527\) 0.915922 + 3.11934i 0.0398982 + 0.135881i
\(528\) 111.007i 4.83097i
\(529\) −20.0497 + 11.2698i −0.871726 + 0.489993i
\(530\) −6.90237 48.1958i −0.299820 2.09349i
\(531\) 1.48409 0.435769i 0.0644042 0.0189108i
\(532\) −16.2855 + 14.1115i −0.706066 + 0.611810i
\(533\) 3.47555 + 5.40806i 0.150543 + 0.234249i
\(534\) 2.13957 + 14.8811i 0.0925883 + 0.643966i
\(535\) −4.58003 2.09469i −0.198012 0.0905611i
\(536\) 21.9276 48.0148i 0.947130 2.07392i
\(537\) −6.65546 5.76699i −0.287204 0.248864i
\(538\) −39.0971 5.62132i −1.68560 0.242352i
\(539\) 6.64396 + 14.5483i 0.286176 + 0.626638i
\(540\) −55.3991 7.99639i −2.38400 0.344110i
\(541\) −4.01909 1.18011i −0.172794 0.0507369i 0.194191 0.980964i \(-0.437792\pi\)
−0.366985 + 0.930227i \(0.619610\pi\)
\(542\) 35.6949 16.3013i 1.53323 0.700201i
\(543\) −13.9586 2.00694i −0.599019 0.0861259i
\(544\) 17.0366 19.6613i 0.730438 0.842970i
\(545\) 12.9473 + 3.80943i 0.554602 + 0.163178i
\(546\) −25.7178 16.5278i −1.10062 0.707327i
\(547\) −19.7158 + 2.83470i −0.842986 + 0.121203i −0.550260 0.834993i \(-0.685471\pi\)
−0.292726 + 0.956196i \(0.594562\pi\)
\(548\) −28.1757 43.8422i −1.20361 1.87285i
\(549\) −0.153482 0.177127i −0.00655043 0.00755960i
\(550\) −41.2652 64.3660i −1.75956 2.74457i
\(551\) −4.36014 −0.185748
\(552\) −16.9613 64.7905i −0.721922 2.75767i
\(553\) 17.5546i 0.746498i
\(554\) 25.2833 7.42385i 1.07419 0.315409i
\(555\) −1.63610 + 1.88605i −0.0694485 + 0.0800585i
\(556\) −56.6544 + 36.4096i −2.40268 + 1.54411i
\(557\) −44.6156 + 6.41476i −1.89042 + 0.271802i −0.987455 0.157903i \(-0.949527\pi\)
−0.902969 + 0.429705i \(0.858617\pi\)
\(558\) −0.390608 + 0.607798i −0.0165358 + 0.0257301i
\(559\) 5.45386 11.9423i 0.230674 0.505105i
\(560\) −26.8058 + 41.6601i −1.13275 + 1.76046i
\(561\) −3.00092 + 20.8718i −0.126699 + 0.881209i
\(562\) 61.4209 28.0500i 2.59088 1.18322i
\(563\) −5.30049 + 18.0518i −0.223389 + 0.760794i 0.769172 + 0.639042i \(0.220669\pi\)
−0.992561 + 0.121751i \(0.961149\pi\)
\(564\) 3.42412 + 1.00541i 0.144182 + 0.0423355i
\(565\) 6.42795 + 10.0142i 0.270426 + 0.421302i
\(566\) −2.62954 + 18.2889i −0.110528 + 0.768739i
\(567\) −14.7607 12.7902i −0.619889 0.537137i
\(568\) 99.1028 + 45.2587i 4.15826 + 1.89901i
\(569\) 9.05830 + 5.82142i 0.379744 + 0.244047i 0.716562 0.697523i \(-0.245715\pi\)
−0.336818 + 0.941570i \(0.609351\pi\)
\(570\) −21.2488 + 6.22648i −0.890014 + 0.260799i
\(571\) −12.9103 + 8.29697i −0.540281 + 0.347217i −0.782149 0.623092i \(-0.785876\pi\)
0.241868 + 0.970309i \(0.422240\pi\)
\(572\) 68.7024 59.5310i 2.87259 2.48911i
\(573\) 6.76953 + 23.0549i 0.282801 + 0.963133i
\(574\) 11.0648 0.461838
\(575\) 17.6323 + 16.2512i 0.735318 + 0.677722i
\(576\) 2.07845 0.0866021
\(577\) −4.37078 14.8855i −0.181958 0.619692i −0.999066 0.0432076i \(-0.986242\pi\)
0.817108 0.576484i \(-0.195576\pi\)
\(578\) −25.5824 + 22.1673i −1.06409 + 0.922038i
\(579\) 8.27983 5.32112i 0.344098 0.221138i
\(580\) −22.0801 + 6.47009i −0.916828 + 0.268656i
\(581\) −14.2618 9.16549i −0.591678 0.380249i
\(582\) 42.8344 + 19.5618i 1.77554 + 0.810864i
\(583\) 36.1019 + 31.2825i 1.49519 + 1.29559i
\(584\) −11.5189 + 80.1158i −0.476656 + 3.31522i
\(585\) −0.656319 1.02249i −0.0271354 0.0422748i
\(586\) −26.3364 7.73308i −1.08795 0.319450i
\(587\) 12.5744 42.8243i 0.518999 1.76755i −0.114091 0.993470i \(-0.536396\pi\)
0.633090 0.774078i \(-0.281786\pi\)
\(588\) 22.2332 10.1535i 0.916880 0.418725i
\(589\) 0.476678 3.31537i 0.0196412 0.136607i
\(590\) −28.7151 + 44.6274i −1.18218 + 1.83728i
\(591\) −14.3859 + 31.5007i −0.591756 + 1.29576i
\(592\) −3.64738 + 5.67543i −0.149906 + 0.233259i
\(593\) −8.66953 + 1.24649i −0.356015 + 0.0511872i −0.318002 0.948090i \(-0.603012\pi\)
−0.0380129 + 0.999277i \(0.512103\pi\)
\(594\) 64.7917 41.6391i 2.65844 1.70847i
\(595\) −6.16630 + 7.10836i −0.252794 + 0.291414i
\(596\) 87.3349 25.6438i 3.57738 1.05041i
\(597\) 19.0430i 0.779376i
\(598\) −22.6014 + 32.9828i −0.924242 + 1.34877i
\(599\) 26.2217 1.07139 0.535694 0.844412i \(-0.320050\pi\)
0.535694 + 0.844412i \(0.320050\pi\)
\(600\) −58.7822 + 37.6855i −2.39977 + 1.53850i
\(601\) −12.2537 14.1415i −0.499838 0.576843i 0.448630 0.893718i \(-0.351912\pi\)
−0.948468 + 0.316874i \(0.897367\pi\)
\(602\) −12.2169 19.0099i −0.497925 0.774786i
\(603\) 1.14654 0.164847i 0.0466905 0.00671309i
\(604\) 73.1100 + 46.9849i 2.97480 + 1.91179i
\(605\) 48.3696 + 14.2316i 1.96650 + 0.578596i
\(606\) −57.6904 + 66.5783i −2.34351 + 2.70456i
\(607\) 3.44867 + 0.495843i 0.139977 + 0.0201257i 0.211947 0.977281i \(-0.432020\pi\)
−0.0719701 + 0.997407i \(0.522929\pi\)
\(608\) −24.3811 + 11.1345i −0.988784 + 0.451563i
\(609\) −7.28417 2.13883i −0.295170 0.0866696i
\(610\) 7.95864 + 1.14876i 0.322236 + 0.0465120i
\(611\) −0.528891 1.15811i −0.0213966 0.0468521i
\(612\) 1.73022 + 0.248767i 0.0699398 + 0.0100558i
\(613\) 12.2285 + 10.5961i 0.493905 + 0.427971i 0.865865 0.500278i \(-0.166769\pi\)
−0.371960 + 0.928249i \(0.621314\pi\)
\(614\) −2.86801 + 6.28006i −0.115743 + 0.253443i
\(615\) 7.37265 + 3.37190i 0.297294 + 0.135968i
\(616\) −13.3068 92.5510i −0.536147 3.72899i
\(617\) 18.1414 + 28.2285i 0.730344 + 1.13644i 0.985523 + 0.169544i \(0.0542295\pi\)
−0.255178 + 0.966894i \(0.582134\pi\)
\(618\) 46.4785 40.2739i 1.86964 1.62005i
\(619\) 7.07680 2.07794i 0.284441 0.0835193i −0.136400 0.990654i \(-0.543553\pi\)
0.420841 + 0.907135i \(0.361735\pi\)
\(620\) −2.50579 17.4967i −0.100635 0.702685i
\(621\) −16.3507 + 17.7796i −0.656130 + 0.713469i
\(622\) 70.6865i 2.83427i
\(623\) −1.85458 6.31611i −0.0743020 0.253049i
\(624\) −39.6339 45.7400i −1.58663 1.83106i
\(625\) 10.4355 22.7178i 0.417421 0.908713i
\(626\) −6.25270 43.4885i −0.249908 1.73815i
\(627\) 11.7454 18.2761i 0.469064 0.729878i
\(628\) 5.12591 + 2.34092i 0.204546 + 0.0934130i
\(629\) −0.839215 + 0.968506i −0.0334617 + 0.0386169i
\(630\) −2.09127 0.00115378i −0.0833182 4.59677e-5i
\(631\) 7.29135 + 15.9658i 0.290264 + 0.635590i 0.997445 0.0714433i \(-0.0227605\pi\)
−0.707181 + 0.707033i \(0.750033\pi\)
\(632\) −18.8357 + 64.1484i −0.749243 + 2.55169i
\(633\) 6.31134 21.4944i 0.250853 0.854328i
\(634\) 28.7517 + 62.9574i 1.14187 + 2.50036i
\(635\) 0.0107000 19.3942i 0.000424618 0.769637i
\(636\) 47.8070 55.1723i 1.89567 2.18772i
\(637\) −7.93191 3.62238i −0.314274 0.143524i
\(638\) 17.1163 26.6335i 0.677642 1.05443i
\(639\) 0.340245 + 2.36645i 0.0134599 + 0.0936155i
\(640\) −10.8815 + 9.41840i −0.430131 + 0.372295i
\(641\) −21.4742 24.7826i −0.848181 0.978853i 0.151773 0.988415i \(-0.451502\pi\)
−0.999954 + 0.00956193i \(0.996956\pi\)
\(642\) −2.98367 10.1615i −0.117756 0.401041i
\(643\) 17.2988i 0.682198i −0.940027 0.341099i \(-0.889201\pi\)
0.940027 0.341099i \(-0.110799\pi\)
\(644\) 19.0573 + 45.2208i 0.750962 + 1.78195i
\(645\) −2.34723 16.3895i −0.0924221 0.645337i
\(646\) −10.9045 + 3.20184i −0.429031 + 0.125975i
\(647\) −27.7286 + 24.0270i −1.09012 + 0.944599i −0.998688 0.0512122i \(-0.983692\pi\)
−0.0914371 + 0.995811i \(0.529146\pi\)
\(648\) −40.2151 62.5760i −1.57980 2.45822i
\(649\) −7.40993 51.5372i −0.290865 2.02301i
\(650\) 39.9843 + 11.7884i 1.56831 + 0.462379i
\(651\) 2.42268 5.30493i 0.0949523 0.207916i
\(652\) −29.1083 25.2225i −1.13997 0.987790i
\(653\) 31.5106 + 4.53054i 1.23311 + 0.177294i 0.727887 0.685697i \(-0.240503\pi\)
0.505219 + 0.862991i \(0.331412\pi\)
\(654\) 11.7894 + 25.8152i 0.461003 + 1.00945i
\(655\) 4.96136 34.3724i 0.193856 1.34304i
\(656\) 21.0183 + 6.17153i 0.820627 + 0.240958i
\(657\) −1.61565 + 0.737844i −0.0630326 + 0.0287860i
\(658\) −2.16906 0.311864i −0.0845588 0.0121577i
\(659\) 20.1626 23.2689i 0.785424 0.906428i −0.212064 0.977256i \(-0.568019\pi\)
0.997489 + 0.0708277i \(0.0225640\pi\)
\(660\) 32.3593 109.981i 1.25959 4.28101i
\(661\) −28.3663 18.2299i −1.10332 0.709061i −0.143493 0.989651i \(-0.545834\pi\)
−0.959828 + 0.280590i \(0.909470\pi\)
\(662\) −18.4412 + 2.65144i −0.716737 + 0.103051i
\(663\) −6.21554 9.67157i −0.241392 0.375613i
\(664\) −42.2813 48.7952i −1.64083 1.89362i
\(665\) 8.82121 4.02263i 0.342072 0.155991i
\(666\) −0.284797 −0.0110357
\(667\) −3.07771 + 9.44015i −0.119169 + 0.365524i
\(668\) 47.3679i 1.83272i
\(669\) −8.56468 + 2.51482i −0.331130 + 0.0972285i
\(670\) −26.0415 + 30.0200i −1.00607 + 1.15977i
\(671\) −6.63710 + 4.26541i −0.256223 + 0.164664i
\(672\) −46.1937 + 6.64165i −1.78196 + 0.256207i
\(673\) 1.52933 2.37968i 0.0589511 0.0917298i −0.810527 0.585702i \(-0.800819\pi\)
0.869478 + 0.493972i \(0.164455\pi\)
\(674\) −17.9250 + 39.2502i −0.690444 + 1.51186i
\(675\) 22.8959 + 10.4867i 0.881262 + 0.403635i
\(676\) 2.14134 14.8933i 0.0823592 0.572821i
\(677\) 1.60190 0.731565i 0.0615662 0.0281163i −0.384394 0.923169i \(-0.625590\pi\)
0.445960 + 0.895053i \(0.352862\pi\)
\(678\) −7.04979 + 24.0094i −0.270745 + 0.922074i
\(679\) −19.7833 5.80891i −0.759215 0.222926i
\(680\) −30.1601 + 19.3592i −1.15659 + 0.742392i
\(681\) −3.54370 + 24.6470i −0.135795 + 0.944473i
\(682\) 18.3804 + 15.9267i 0.703821 + 0.609865i
\(683\) −11.7951 5.38662i −0.451326 0.206113i 0.176766 0.984253i \(-0.443436\pi\)
−0.628092 + 0.778139i \(0.716164\pi\)
\(684\) −1.51504 0.973657i −0.0579290 0.0372287i
\(685\) 6.59349 + 22.5013i 0.251924 + 0.859730i
\(686\) −44.6341 + 28.6846i −1.70414 + 1.09518i
\(687\) −15.8474 + 13.7318i −0.604615 + 0.523902i
\(688\) −12.6038 42.9245i −0.480515 1.63648i
\(689\) −26.0447 −0.992224
\(690\) −1.51803 + 50.4010i −0.0577904 + 1.91873i
\(691\) −9.31109 −0.354210 −0.177105 0.984192i \(-0.556673\pi\)
−0.177105 + 0.984192i \(0.556673\pi\)
\(692\) 15.7190 + 53.5341i 0.597548 + 2.03506i
\(693\) 1.55068 1.34367i 0.0589056 0.0510420i
\(694\) 46.4471 29.8498i 1.76311 1.13308i
\(695\) 29.0769 8.52034i 1.10295 0.323195i
\(696\) −24.3231 15.6315i −0.921963 0.592510i
\(697\) 3.78507 + 1.72858i 0.143370 + 0.0654748i
\(698\) −49.5292 42.9173i −1.87471 1.62444i
\(699\) 1.25831 8.75176i 0.0475938 0.331022i
\(700\) 38.7022 33.4610i 1.46281 1.26471i
\(701\) 24.1132 + 7.08026i 0.910742 + 0.267418i 0.703353 0.710841i \(-0.251685\pi\)
0.207389 + 0.978259i \(0.433504\pi\)
\(702\) −11.8303 + 40.2903i −0.446506 + 1.52066i
\(703\) 1.20100 0.548479i 0.0452967 0.0206863i
\(704\) 9.95713 69.2534i 0.375274 2.61009i
\(705\) −1.35024 0.868798i −0.0508529 0.0327208i
\(706\) 13.5487 29.6675i 0.509911 1.11655i
\(707\) 20.8542 32.4498i 0.784304 1.22040i
\(708\) −78.7610 + 11.3241i −2.96002 + 0.425586i
\(709\) 24.3663 15.6593i 0.915095 0.588096i 0.00386426 0.999993i \(-0.498770\pi\)
0.911230 + 0.411897i \(0.135134\pi\)
\(710\) −61.9613 53.7497i −2.32537 2.01719i
\(711\) −1.40769 + 0.413335i −0.0527925 + 0.0155013i
\(712\) 25.0703i 0.939551i
\(713\) −6.84165 3.37230i −0.256222 0.126293i
\(714\) −19.7880 −0.740546
\(715\) −37.2133 + 16.9700i −1.39170 + 0.634640i
\(716\) 16.0929 + 18.5721i 0.601418 + 0.694074i
\(717\) 13.6964 + 21.3120i 0.511502 + 0.795912i
\(718\) −30.2663 + 4.35164i −1.12953 + 0.162402i
\(719\) −24.1127 15.4963i −0.899253 0.577915i 0.00731583 0.999973i \(-0.497671\pi\)
−0.906569 + 0.422059i \(0.861308\pi\)
\(720\) −3.97185 1.16862i −0.148022 0.0435519i
\(721\) −17.6341 + 20.3509i −0.656730 + 0.757907i
\(722\) −38.0611 5.47236i −1.41649 0.203660i
\(723\) 6.08968 2.78107i 0.226478 0.103429i
\(724\) 37.7580 + 11.0868i 1.40327 + 0.412036i
\(725\) 10.3519 + 0.0114225i 0.384459 + 0.000424222i
\(726\) 44.0438 + 96.4425i 1.63462 + 3.57932i
\(727\) 26.1416 + 3.75859i 0.969538 + 0.139398i 0.608848 0.793287i \(-0.291632\pi\)
0.360690 + 0.932686i \(0.382541\pi\)
\(728\) 38.5273 + 33.3841i 1.42792 + 1.23730i
\(729\) −10.5012 + 22.9945i −0.388934 + 0.851647i
\(730\) 25.3453 55.4176i 0.938073 2.05110i
\(731\) −1.20939 8.41149i −0.0447309 0.311110i
\(732\) 6.51855 + 10.1431i 0.240932 + 0.374898i
\(733\) 40.2210 34.8517i 1.48560 1.28728i 0.622080 0.782954i \(-0.286288\pi\)
0.863516 0.504322i \(-0.168257\pi\)
\(734\) −21.1385 + 6.20684i −0.780238 + 0.229099i
\(735\) −10.8857 + 1.55900i −0.401525 + 0.0575045i
\(736\) 6.89728 + 60.6472i 0.254237 + 2.23548i
\(737\) 38.9920i 1.43629i
\(738\) 0.260529 + 0.887281i 0.00959021 + 0.0326612i
\(739\) 16.3546 + 18.8742i 0.601614 + 0.694300i 0.972108 0.234535i \(-0.0753569\pi\)
−0.370493 + 0.928835i \(0.620811\pi\)
\(740\) 5.26809 4.55974i 0.193659 0.167619i
\(741\) 1.68568 + 11.7241i 0.0619249 + 0.430697i
\(742\) −24.2359 + 37.7118i −0.889728 + 1.38444i
\(743\) −28.6938 13.1040i −1.05267 0.480741i −0.187528 0.982259i \(-0.560048\pi\)
−0.865147 + 0.501519i \(0.832775\pi\)
\(744\) 14.5451 16.7859i 0.533248 0.615400i
\(745\) −40.9521 0.0225937i −1.50037 0.000827771i
\(746\) −30.1333 65.9827i −1.10326 2.41580i
\(747\) 0.399170 1.35945i 0.0146049 0.0497396i
\(748\) 16.5777 56.4585i 0.606142 2.06433i
\(749\) 1.92631 + 4.21804i 0.0703860 + 0.154124i
\(750\) 50.4655 14.7273i 1.84274 0.537765i
\(751\) −0.178172 + 0.205622i −0.00650159 + 0.00750324i −0.758991 0.651101i \(-0.774307\pi\)
0.752489 + 0.658604i \(0.228853\pi\)
\(752\) −3.94631 1.80222i −0.143907 0.0657202i
\(753\) −16.9865 + 26.4316i −0.619024 + 0.963220i
\(754\) 2.45651 + 17.0854i 0.0894608 + 0.622213i
\(755\) −25.5889 29.5641i −0.931276 1.07595i
\(756\) 33.7491 + 38.9486i 1.22744 + 1.41655i
\(757\) 0.581408 + 1.98009i 0.0211316 + 0.0719678i 0.969384 0.245550i \(-0.0789687\pi\)
−0.948252 + 0.317518i \(0.897151\pi\)
\(758\) 26.1062i 0.948219i
\(759\) −31.2790 38.3306i −1.13535 1.39131i
\(760\) 36.5508 5.23463i 1.32584 0.189880i
\(761\) 39.8954 11.7143i 1.44621 0.424644i 0.537921 0.842996i \(-0.319210\pi\)
0.908285 + 0.418351i \(0.137392\pi\)
\(762\) 30.8214 26.7069i 1.11654 0.967489i
\(763\) −6.71815 10.4536i −0.243213 0.378447i
\(764\) −9.54237 66.3686i −0.345231 2.40113i
\(765\) −0.715203 0.327099i −0.0258582 0.0118263i
\(766\) −12.3360 + 27.0122i −0.445719 + 0.975989i
\(767\) 21.4540 + 18.5900i 0.774660 + 0.671246i
\(768\) 12.6352 + 1.81667i 0.455934 + 0.0655535i
\(769\) 18.8182 + 41.2062i 0.678602 + 1.48593i 0.864117 + 0.503290i \(0.167877\pi\)
−0.185515 + 0.982641i \(0.559395\pi\)
\(770\) −10.0570 + 69.6750i −0.362429 + 2.51091i
\(771\) −10.5281 3.09134i −0.379161 0.111332i
\(772\) −24.9830 + 11.4093i −0.899157 + 0.410631i
\(773\) −11.6427 1.67397i −0.418759 0.0602085i −0.0702852 0.997527i \(-0.522391\pi\)