Properties

Label 115.2.j.a.9.1
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 9.1
Character \(\chi\) \(=\) 115.9
Dual form 115.2.j.a.64.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.743795 - 2.53313i) q^{2} +(-1.34601 + 1.16633i) q^{3} +(-4.18102 + 2.68698i) q^{4} +(-2.23607 + 0.00123367i) q^{5} +(3.95561 + 2.54212i) q^{6} +(1.87277 + 0.855264i) q^{7} +(5.92582 + 5.13475i) q^{8} +(0.0244873 - 0.170313i) q^{9} +O(q^{10})\) \(q+(-0.743795 - 2.53313i) q^{2} +(-1.34601 + 1.16633i) q^{3} +(-4.18102 + 2.68698i) q^{4} +(-2.23607 + 0.00123367i) 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} +(1.66630 + 5.66334i) 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} +(3.00833 - 2.60964i) 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} +(9.34573 - 6.01342i) q^{20} +(-3.51828 + 1.03306i) q^{21} +15.2916i q^{22} +(-1.21456 - 4.63949i) q^{23} -13.9650 q^{24} +(5.00000 - 0.00551712i) 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} +(-8.84816 - 5.67947i) 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} +(-4.18869 - 1.91012i) 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} +(-13.2569 - 11.4743i) 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} +(-3.73295 - 12.6615i) 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} +(12.4289 + 3.64201i) 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} +(-5.56585 + 18.9943i) 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} +(6.42161 - 2.93693i) 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} +(-6.72362 + 5.83905i) 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} +(-9.98359 + 21.8930i) 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} +(2.46898 - 3.84647i) 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} +(1.00534 - 0.145113i) q^{90} -6.50160 q^{91} +(17.5443 + 16.1343i) q^{92} -2.83267i q^{93} +(1.02127 - 0.299871i) q^{94} +(3.96012 - 2.54810i) 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 \(-0.707730\pi\)
0.0813139 0.996689i \(-0.474088\pi\)
\(3\) −1.34601 + 1.16633i −0.777120 + 0.673379i −0.950239 0.311522i \(-0.899161\pi\)
0.173118 + 0.984901i \(0.444616\pi\)
\(4\) −4.18102 + 2.68698i −2.09051 + 1.34349i
\(5\) −2.23607 + 0.00123367i −1.00000 + 0.000551712i
\(6\) 3.95561 + 2.54212i 1.61487 + 1.03782i
\(7\) 1.87277 + 0.855264i 0.707839 + 0.323259i 0.736601 0.676327i \(-0.236429\pi\)
−0.0287625 + 0.999586i \(0.509157\pi\)
\(8\) 5.92582 + 5.13475i 2.09509 + 1.81541i
\(9\) 0.0244873 0.170313i 0.00816245 0.0567711i
\(10\) 1.66630 + 5.66334i 0.526930 + 1.79090i
\(11\) −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 −0.771814 0.635848i \(-0.780651\pi\)
−0.0248891 + 0.999690i \(0.507923\pi\)
\(14\) 0.773542 5.38010i 0.206738 1.43789i
\(15\) 3.00833 2.60964i 0.776749 0.673807i
\(16\) 4.47020 9.78837i 1.11755 2.44709i
\(17\) −1.10511 + 1.71958i −0.268029 + 0.417060i −0.949013 0.315238i \(-0.897916\pi\)
0.680984 + 0.732298i \(0.261552\pi\)
\(18\) −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 \(0.395844\pi\)
\(20\) 9.34573 6.01342i 2.08977 1.34464i
\(21\) −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
\(25\) 5.00000 0.00551712i 0.999999 0.00110342i
\(26\) 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 \(0.620246\pi\)
\(30\) −8.84816 5.67947i −1.61544 1.03692i
\(31\) −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
\(35\) −4.18869 1.91012i −0.708017 0.322869i
\(36\) 0.355246 + 0.777880i 0.0592076 + 0.129647i
\(37\) 0.620561 + 0.0892232i 0.102020 + 0.0146682i 0.193136 0.981172i \(-0.438134\pi\)
−0.0911159 + 0.995840i \(0.529043\pi\)
\(38\) 4.20189 + 3.64095i 0.681636 + 0.590641i
\(39\) 2.33645 5.11610i 0.374131 0.819232i
\(40\) −13.2569 11.4743i −2.09609 1.81425i
\(41\) 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 −0.860658 0.509184i \(-0.829947\pi\)
0.381517 + 0.924362i \(0.375402\pi\)
\(44\) 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 \(0.00936085\pi\)
−0.999568 + 0.0294037i \(0.990639\pi\)
\(48\) 5.39949 + 18.3890i 0.779349 + 2.65422i
\(49\) −1.80825 2.08683i −0.258321 0.298119i
\(50\) −3.73295 12.6615i −0.527918 1.79061i
\(51\) −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 0.857593 0.514330i \(-0.171959\pi\)
0.172899 + 0.984940i \(0.444687\pi\)
\(54\) −8.70774 + 10.0493i −1.18497 + 1.36753i
\(55\) 12.4289 + 3.64201i 1.67591 + 0.491089i
\(56\) 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 \(0.664669\pi\)
\(60\) −5.56585 + 18.9943i −0.718548 + 2.45215i
\(61\) 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
\(65\) 6.42161 2.93693i 0.796503 0.364282i
\(66\) −17.8350 20.5826i −2.19533 2.53355i
\(67\) −1.89660 6.45923i −0.231707 0.789121i −0.990467 0.137751i \(-0.956013\pi\)
0.758760 0.651370i \(-0.225805\pi\)
\(68\) 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 \(0.0246438\pi\)
−0.343817 + 0.939037i \(0.611720\pi\)
\(74\) −0.235556 1.63833i −0.0273828 0.190452i
\(75\) −6.72362 + 5.83905i −0.776377 + 0.674236i
\(76\) 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 \(-0.295602\pi\)
\(80\) −9.98359 + 21.8930i −1.11620 + 2.44771i
\(81\) 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 −0.320365 0.947294i \(-0.603806\pi\)
−0.574272 + 0.818665i \(0.694715\pi\)
\(84\) 11.9342 13.7728i 1.30213 1.50273i
\(85\) 2.46898 3.84647i 0.267798 0.417208i
\(86\) 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 \(0.718525\pi\)
\(90\) 1.00534 0.145113i 0.105973 0.0152962i
\(91\) −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
\(95\) 3.96012 2.54810i 0.406300 0.261430i
\(96\) 19.0693 12.2551i 1.94625 1.25078i
\(97\) −9.91281 + 1.42525i −1.00649 + 0.144712i −0.625795 0.779987i \(-0.715225\pi\)
−0.380698 + 0.924699i \(0.624316\pi\)
\(98\) −3.94125 + 6.13270i −0.398126 + 0.619497i
\(99\) −0.414009 + 0.906553i −0.0416095 + 0.0911120i
\(100\) −20.8903 + 13.4579i −2.08903 + 1.34579i
\(101\) −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 \(0.313792\pi\)
−0.915275 + 0.402830i \(0.868027\pi\)
\(104\) −23.7583 6.97606i −2.32969 0.684059i
\(105\) 7.86584 2.31433i 0.767627 0.225856i
\(106\) 3.09872 21.5521i 0.300975 2.09332i
\(107\) 1.70218 + 1.47495i 0.164556 + 0.142588i 0.733246 0.679963i \(-0.238004\pi\)
−0.568690 + 0.822552i \(0.692550\pi\)
\(108\) 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 \(0.588477\pi\)
\(110\) −0.0188647 34.1930i −0.00179868 3.26017i
\(111\) −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 0.858426 0.512937i \(-0.171443\pi\)
−0.999469 + 0.0325904i \(0.989624\pi\)
\(114\) −9.90233 −0.927438
\(115\) 2.72156 + 10.3727i 0.253786 + 0.967260i
\(116\) −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
\(120\) 31.2267 0.0172282i 2.85060 0.00157271i
\(121\) 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
\(125\) −11.1803 + 0.0185050i −0.999999 + 0.00165513i
\(126\) −0.897361 0.263489i −0.0799433 0.0234735i
\(127\) −2.44357 + 8.32204i −0.216832 + 0.738461i 0.777189 + 0.629268i \(0.216645\pi\)
−0.994020 + 0.109194i \(0.965173\pi\)
\(128\) 5.85445 2.67364i 0.517465 0.236318i
\(129\) 1.05376 7.32904i 0.0927781 0.645286i
\(130\) −12.2160 14.0823i −1.07141 1.23510i
\(131\) 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
\(135\) 6.09406 + 9.47105i 0.524493 + 0.815139i
\(136\) −15.3783 + 4.51548i −1.31868 + 0.387199i
\(137\) 10.4860i 0.895881i −0.894063 0.447940i \(-0.852158\pi\)
0.894063 0.447940i \(-0.147842\pi\)
\(138\) 6.98981 21.4396i 0.595012 1.82506i
\(139\) 13.5504 1.14933 0.574664 0.818389i \(-0.305133\pi\)
0.574664 + 0.818389i \(0.305133\pi\)
\(140\) 22.6454 3.26867i 1.91389 0.276253i
\(141\) −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
\(145\) −3.89597 2.50075i −0.323543 0.207676i
\(146\) 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 \(0.860944\pi\)
\(150\) 19.7921 + 12.6888i 1.61602 + 1.03603i
\(151\) −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
\(155\) 2.32746 2.68903i 0.186946 0.215988i
\(156\) 3.97813 + 27.6685i 0.318505 + 2.21525i
\(157\) 0.612997 + 0.953842i 0.0489225 + 0.0761249i 0.864853 0.502025i \(-0.167411\pi\)
−0.815931 + 0.578150i \(0.803775\pi\)
\(158\) −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 \(-0.992753\pi\)
0.828728 0.559651i \(-0.189065\pi\)
\(164\) −6.62546 7.64619i −0.517361 0.597067i
\(165\) −20.9772 + 9.59397i −1.63308 + 0.746890i
\(166\) 3.09382 + 21.5180i 0.240127 + 1.67012i
\(167\) −5.15274 + 8.01781i −0.398731 + 0.620437i −0.981332 0.192321i \(-0.938399\pi\)
0.582601 + 0.812758i \(0.302035\pi\)
\(168\) −26.1532 11.9438i −2.01776 0.921482i
\(169\) −1.98257 + 2.28801i −0.152506 + 0.176001i
\(170\) −11.5800 3.39327i −0.888148 0.260252i
\(171\) 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 \(0.231253\pi\)
−0.987964 + 0.154681i \(0.950565\pi\)
\(174\) 4.04407 + 8.85528i 0.306580 + 0.671317i
\(175\) 9.36854 + 4.26598i 0.708195 + 0.322478i
\(176\) −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 \(-0.104614\pi\)
\(180\) −0.795313 1.73895i −0.0592792 0.129614i
\(181\) −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
\(190\) −9.40019 8.13624i −0.681962 0.590265i
\(191\) −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 −0.0573948 0.998352i \(-0.518279\pi\)
−0.336338 + 0.941741i \(0.609188\pi\)
\(194\) 10.9834 + 24.0504i 0.788565 + 1.72672i
\(195\) −5.21814 + 11.4428i −0.373679 + 0.819439i
\(196\) 13.1676 + 3.86635i 0.940542 + 0.276168i
\(197\) 17.6868 8.07729i 1.26013 0.575483i 0.330442 0.943826i \(-0.392802\pi\)
0.929690 + 0.368344i \(0.120075\pi\)
\(198\) 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 \(0.103550\pi\)
\(200\) 29.6574 + 25.6411i 2.09710 + 1.81310i
\(201\) 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
\(205\) −0.650294 4.50525i −0.0454185 0.314660i
\(206\) 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
\(210\) −11.7131 18.2038i −0.808280 1.25618i
\(211\) 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
\(215\) 7.02222 6.09157i 0.478911 0.415442i
\(216\) 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
\(220\) −61.7515 + 18.1689i −4.16329 + 1.22495i
\(221\) 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 0.562169 0.827022i \(-0.309967\pi\)
−0.256880 + 0.966443i \(0.582694\pi\)
\(224\) −22.0436 14.1665i −1.47285 0.946542i
\(225\) 0.121497 0.851701i 0.00809980 0.0567800i
\(226\) −11.8194 + 7.59586i −0.786214 + 0.505269i
\(227\) 10.5661 9.15555i 0.701294 0.607675i −0.229461 0.973318i \(-0.573696\pi\)
0.930755 + 0.365643i \(0.119151\pi\)
\(228\) 5.25187 + 17.8862i 0.347813 + 1.18454i
\(229\) −11.7736 −0.778020 −0.389010 0.921234i \(-0.627183\pi\)
−0.389010 + 0.921234i \(0.627183\pi\)
\(230\) 24.2512 14.6092i 1.59907 0.963304i
\(231\) 21.2385 1.39739
\(232\) 4.57359 + 15.5762i 0.300271 + 1.02263i
\(233\) −3.75185 + 3.25100i −0.245792 + 0.212980i −0.769040 0.639200i \(-0.779265\pi\)
0.523248 + 0.852180i \(0.324720\pi\)
\(234\) 1.20680 0.775566i 0.0788913 0.0507004i
\(235\) −0.000497369 0.901501i −3.24448e−5 0.0588075i
\(236\) −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 \(0.893289\pi\)
\(240\) −12.0963 41.1123i −0.780813 2.65379i
\(241\) 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
\(245\) 4.04594 + 4.66406i 0.258486 + 0.297976i
\(246\) −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
\(250\) 8.36274 + 28.3075i 0.528906 + 1.79032i
\(251\) −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
\(255\) 1.16296 + 8.05703i 0.0728276 + 0.504551i
\(256\) 4.69358 + 5.41668i 0.293349 + 0.338542i
\(257\) 3.33079 + 5.18281i 0.207769 + 0.323295i 0.929462 0.368919i \(-0.120272\pi\)
−0.721693 + 0.692214i \(0.756636\pi\)
\(258\) −19.3492 + 2.78200i −1.20463 + 0.173199i
\(259\) 1.08586 + 0.697838i 0.0674718 + 0.0433615i
\(260\) −18.9574 + 29.5341i −1.17569 + 1.83163i
\(261\) 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 −0.897707 0.440593i \(-0.854768\pi\)
−0.254895 + 0.966969i \(0.582041\pi\)
\(264\) 77.6103 + 22.7884i 4.77658 + 1.40253i
\(265\) −16.7794 7.65172i −1.03075 0.470041i
\(266\) 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 \(0.985607\pi\)
\(270\) 19.4587 22.4816i 1.18422 1.36819i
\(271\) −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 \(0.0969372\pi\)
−0.953986 + 0.299852i \(0.903063\pi\)
\(278\) −10.0787 34.3249i −0.604481 2.05867i
\(279\) 0.179211 + 0.206821i 0.0107291 + 0.0123820i
\(280\) −15.0134 32.8269i −0.897224 1.96178i
\(281\) −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 0.217113 0.976147i \(-0.430336\pi\)
−0.595544 + 0.803323i \(0.703063\pi\)
\(284\) 45.2224 52.1895i 2.68346 3.09688i
\(285\) −2.35845 + 8.04856i −0.139702 + 0.476756i
\(286\) −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
\(290\) −3.43693 + 11.7290i −0.201824 + 0.688753i
\(291\) 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 −0.637332 0.770589i \(-0.719962\pi\)
0.965710 + 0.259623i \(0.0835983\pi\)
\(294\) −1.84776 12.8515i −0.107764 0.749513i
\(295\) −8.36025 18.2797i −0.486753 1.06429i
\(296\) 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
\(305\) −1.99330 + 2.30296i −0.114136 + 0.131867i
\(306\) 0.385733 0.844637i 0.0220509 0.0482847i
\(307\) −1.97633 1.71250i −0.112795 0.0977376i 0.596637 0.802511i \(-0.296503\pi\)
−0.709432 + 0.704773i \(0.751049\pi\)
\(308\) 58.6632 + 8.43450i 3.34265 + 0.480600i
\(309\) −9.67700 21.1897i −0.550505 1.20544i
\(310\) −8.54281 3.89568i −0.485199 0.221260i
\(311\) 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 0.591131 0.806575i \(-0.298682\pi\)
0.339948 + 0.940444i \(0.389591\pi\)
\(314\) 1.96026 2.26227i 0.110624 0.127667i
\(315\) −0.427888 + 0.666615i −0.0241088 + 0.0375595i
\(316\) 35.6497 + 22.9107i 2.00545 + 1.28883i
\(317\) −25.9491 + 3.73091i −1.45744 + 0.209549i −0.825033 0.565084i \(-0.808844\pi\)
−0.632411 + 0.774633i \(0.717935\pi\)
\(318\) 20.9659 + 32.6235i 1.17571 + 1.82944i
\(319\) −7.85298 9.06282i −0.439682 0.507421i
\(320\) −3.85875 26.7335i −0.215711 1.49445i
\(321\) −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
\(325\) −14.3555 + 6.57510i −0.796302 + 0.364721i
\(326\) −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
\(330\) 39.9055 + 46.0021i 2.19673 + 2.53234i
\(331\) −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
\(335\) 4.24890 + 14.4409i 0.232142 + 0.788993i
\(336\) −5.61544 + 39.0562i −0.306347 + 2.13069i
\(337\) −12.3520 10.7031i −0.672857 0.583034i 0.249967 0.968254i \(-0.419580\pi\)
−0.922825 + 0.385220i \(0.874126\pi\)
\(338\) 7.27046 + 3.32031i 0.395461 + 0.180601i
\(339\) 7.97352 + 5.12427i 0.433062 + 0.278312i
\(340\) 0.0125328 + 22.7163i 0.000679688 + 1.23196i
\(341\) 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
\(345\) −15.7612 10.7876i −0.848555 0.580783i
\(346\) 29.6381 1.59335
\(347\) 5.89187 + 20.0659i 0.316292 + 1.07719i 0.952212 + 0.305437i \(0.0988026\pi\)
−0.635920 + 0.771755i \(0.719379\pi\)
\(348\) 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 \(0.549492\pi\)
\(350\) 3.83803 26.9048i 0.205151 1.43812i
\(351\) 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 0.866921 0.498446i \(-0.166096\pi\)
−0.369997 + 0.929033i \(0.620641\pi\)
\(354\) −6.01541 + 41.8381i −0.319715 + 2.22367i
\(355\) 29.8062 8.76974i 1.58195 0.465450i
\(356\) −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 \(0.946584\pi\)
\(360\) −2.27886 + 1.97684i −0.120106 + 0.104189i
\(361\) −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
\(365\) −12.4898 19.4110i −0.653749 1.01602i
\(366\) 6.14532 1.80443i 0.321221 0.0943190i
\(367\) 8.34483i 0.435596i −0.975994 0.217798i \(-0.930113\pi\)
0.975994 0.217798i \(-0.0698875\pi\)
\(368\) −50.8423 8.85089i −2.65034 0.461385i
\(369\) 0.350270 0.0182343
\(370\) 0.528740 + 3.66312i 0.0274879 + 0.190437i
\(371\) 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 0.604049 0.796947i \(-0.293553\pi\)
0.804107 + 0.594485i \(0.202644\pi\)
\(374\) −26.2951 16.8989i −1.35969 0.873819i
\(375\) 15.0273 13.0648i 0.776005 0.674664i
\(376\) −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 \(0.509174\pi\)
\(380\) −9.71064 + 21.2944i −0.498145 + 1.09238i
\(381\) −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 0.410055 0.912061i \(-0.365510\pi\)
−0.844421 + 0.535681i \(0.820055\pi\)
\(384\) −4.76182 + 10.4269i −0.243001 + 0.532097i
\(385\) 20.1616 + 17.4506i 1.02753 + 0.889366i
\(386\) 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
\(395\) 7.92985 + 17.3386i 0.398994 + 0.872401i
\(396\) −0.704909 4.90275i −0.0354230 0.246372i
\(397\) 7.26030 11.2972i 0.364384 0.566992i −0.609854 0.792514i \(-0.708772\pi\)
0.974238 + 0.225521i \(0.0724084\pi\)
\(398\) −25.6770 11.7263i −1.28707 0.587787i
\(399\) 5.05694 5.83602i 0.253164 0.292167i
\(400\) 22.2970 48.9665i 1.11485 2.44832i
\(401\) −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
\(405\) −20.3567 5.96507i −1.01153 0.296406i
\(406\) 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 \(-0.195679\pi\)
\(410\) −10.9287 + 4.99826i −0.539730 + 0.246847i
\(411\) 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 \(0.694697\pi\)
\(420\) −26.6687 + 30.8116i −1.30130 + 1.50345i
\(421\) −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
\(425\) −5.51606 + 8.60401i −0.267568 + 0.417356i
\(426\) −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
\(430\) −20.6539 13.2573i −0.996017 0.639325i
\(431\) −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 \(-0.845559\pi\)
−0.0567597 0.998388i \(-0.518077\pi\)
\(434\) 5.66119 + 6.53336i 0.271746 + 0.313611i
\(435\) 8.16071 1.17793i 0.391276 0.0564774i
\(436\) −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 \(0.390919\pi\)
\(440\) 54.9507 + 85.4013i 2.61967 + 4.07135i
\(441\) −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 −0.683426 0.730020i \(-0.739511\pi\)
0.947955 + 0.318405i \(0.103147\pi\)
\(444\) 2.30535 5.04800i 0.109407 0.239568i
\(445\) −4.68490 5.40064i −0.222085 0.256015i
\(446\) 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 \(0.316940\pi\)
\(450\) −2.24784 + 0.325722i −0.105964 + 0.0153547i
\(451\) 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
\(455\) 14.5380 0.00802080i 0.681553 0.000376021i
\(456\) 24.7411 15.9001i 1.15861 0.744592i
\(457\) 10.1182 8.76749i 0.473310 0.410126i −0.385271 0.922804i \(-0.625892\pi\)
0.858581 + 0.512678i \(0.171346\pi\)
\(458\) 8.75712 + 29.8240i 0.409194 + 1.39359i
\(459\) 10.2953 0.480541
\(460\) −39.2501 36.0557i −1.83005 1.68111i
\(461\) −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 −0.939700 0.342000i \(-0.888896\pi\)
0.204786 + 0.978807i \(0.434350\pi\)
\(464\) 18.7422 12.0449i 0.870086 0.559170i
\(465\) 0.00349457 + 6.33404i 0.000162057 + 0.293734i
\(466\) 11.0258 + 7.08586i 0.510761 + 0.328246i
\(467\) 29.8259 + 13.6210i 1.38018 + 0.630307i 0.960733 0.277474i \(-0.0894971\pi\)
0.419446 + 0.907780i \(0.362224\pi\)
\(468\) −2.04093 1.76847i −0.0943419 0.0817477i
\(469\) 1.97246 13.7187i 0.0910795 0.633472i
\(470\) −2.28325 + 0.671792i −0.105319 + 0.0309874i
\(471\) −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
\(475\) −8.85195 + 5.70261i −0.406155 + 0.261654i
\(476\) 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 \(0.592675\pi\)
\(480\) −42.6252 + 27.4268i −1.94556 + 1.25185i
\(481\) −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
\(485\) 22.1640 3.19918i 1.00641 0.145267i
\(486\) 3.08775 + 3.56345i 0.140063 + 0.161642i
\(487\) 11.4573 + 17.8279i 0.519180 + 0.807860i 0.997525 0.0703122i \(-0.0223996\pi\)
−0.478345 + 0.878172i \(0.658763\pi\)
\(488\) 10.5717 1.51998i 0.478557 0.0688060i
\(489\) 11.6113 + 7.46215i 0.525083 + 0.337450i
\(490\) 8.80534 13.7180i 0.397785 0.619716i
\(491\) −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
\(495\) 0.924633 2.02762i 0.0415592 0.0911349i
\(496\) 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 \(-0.232275\pi\)
\(500\) 46.6954 30.1187i 2.08828 1.34695i
\(501\) −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 −0.973770 0.227533i \(-0.926934\pi\)
0.0866353 + 0.996240i \(0.472389\pi\)
\(504\) 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 \(0.720411\pi\)
\(510\) 19.5445 8.93871i 0.865446 0.395813i
\(511\) 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
\(515\) 8.22418 28.0663i 0.362401 1.23675i
\(516\) 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
\(520\) 53.1337 + 15.5696i 2.33007 + 0.682774i
\(521\) 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 −0.903591 0.428397i \(-0.859079\pi\)
0.765049 + 0.643972i \(0.222715\pi\)
\(524\) 10.9852 + 76.4037i 0.479890 + 3.33771i
\(525\) −17.5857 + 5.18471i −0.767503 + 0.226279i
\(526\) 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
\(535\) −3.80801 3.29598i −0.164634 0.142498i
\(536\) 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
\(540\) −50.9279 23.2240i −2.19159 0.999404i
\(541\) −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
\(545\) −11.3577 7.29027i −0.486509 0.312281i
\(546\) −25.7178 16.5278i −1.10062 0.707327i
\(547\) 19.7158 2.83470i 0.842986 0.121203i 0.292726 0.956196i \(-0.405438\pi\)
0.550260 + 0.834993i \(0.314529\pi\)
\(548\) 28.1757 + 43.8422i 1.20361 + 1.87285i
\(549\) −0.153482 0.177127i −0.00655043 0.00755960i
\(550\) 0.0843654 + 76.4578i 0.00359735 + 3.26017i
\(551\) −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
\(555\) 2.09970 1.35103i 0.0891272 0.0573481i
\(556\) −56.6544 + 36.4096i −2.40268 + 1.54411i
\(557\) 44.6156 6.41476i 1.89042 0.271802i 0.902969 0.429705i \(-0.141383\pi\)
0.987455 + 0.157903i \(0.0504734\pi\)
\(558\) 0.390608 0.607798i 0.0165358 0.0257301i
\(559\) 5.45386 11.9423i 0.230674 0.505105i
\(560\) −37.4212 + 32.4618i −1.58133 + 1.37176i
\(561\) −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 \(-0.779331\pi\)
0.992561 0.121751i \(-0.0388510\pi\)
\(564\) 3.42412 + 1.00541i 0.144182 + 0.0423355i
\(565\) 3.35884 + 11.4159i 0.141307 + 0.480269i
\(566\) −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 \(0.609351\pi\)
\(570\) 22.1423 0.0122162i 0.927438 0.000511679i
\(571\) −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
\(575\) −6.09838 23.1907i −0.254320 0.967120i
\(576\) 2.07845 0.0866021
\(577\) 4.37078 + 14.8855i 0.181958 + 0.619692i 0.999066 + 0.0432076i \(0.0137577\pi\)
−0.817108 + 0.576484i \(0.804424\pi\)
\(578\) 25.5824 22.1673i 1.06409 0.922038i
\(579\) 8.27983 5.32112i 0.344098 0.221138i
\(580\) 23.0086 0.0126941i 0.955379 0.000527094i
\(581\) −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
\(585\) −0.342950 1.16560i −0.0141793 0.0481917i
\(586\) −26.3364 7.73308i −1.08795 0.319450i
\(587\) −12.5744 + 42.8243i −0.518999 + 1.76755i 0.114091 + 0.993470i \(0.463604\pi\)
−0.633090 + 0.774078i \(0.718214\pi\)
\(588\) −22.2332 + 10.1535i −0.916880 + 0.418725i
\(589\) 0.476678 3.31537i 0.0196412 0.136607i
\(590\) −40.0866 + 34.7740i −1.65034 + 1.43162i
\(591\) −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 0.0380129 0.999277i \(-0.487897\pi\)
0.318002 + 0.948090i \(0.396988\pi\)
\(594\) 64.7917 41.6391i 2.65844 1.70847i
\(595\) 7.91357 5.09191i 0.324425 0.208748i
\(596\) 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 \(0.320050\pi\)
\(600\) −69.8251 + 0.0770467i −2.85060 + 0.00314542i
\(601\) −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
\(605\) −42.4308 27.2356i −1.72506 1.10728i
\(606\) −57.6904 + 66.5783i −2.34351 + 2.70456i
\(607\) −3.44867 0.495843i −0.139977 0.0201257i 0.0719701 0.997407i \(-0.477071\pi\)
−0.211947 + 0.977281i \(0.567980\pi\)
\(608\) 24.3811 11.1345i 0.988784 0.451563i
\(609\) −7.28417 2.13883i −0.295170 0.0866696i
\(610\) 7.31631 + 3.33637i 0.296229 + 0.135086i
\(611\) −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 0.371960 0.928249i \(-0.378686\pi\)
−0.865865 + 0.500278i \(0.833231\pi\)
\(614\) −2.86801 + 6.28006i −0.115743 + 0.253443i
\(615\) 6.12990 + 5.30567i 0.247181 + 0.213945i
\(616\) −13.3068 92.5510i −0.536147 3.72899i
\(617\) −18.1414 28.2285i −0.730344 1.13644i −0.985523 0.169544i \(-0.945771\pi\)
0.255178 0.966894i \(-0.417866\pi\)
\(618\) −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
\(625\) 24.9999 0.0551711i 0.999998 0.00220685i
\(626\) −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
\(630\) 2.00688 + 0.588072i 0.0799562 + 0.0234293i
\(631\) 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
\(635\) 5.45372 18.6117i 0.216424 0.738581i
\(636\) 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
\(640\) −13.0876 + 5.98565i −0.517334 + 0.236604i
\(641\) −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 \(0.110799\pi\)
−0.940027 + 0.341099i \(0.889201\pi\)
\(644\) 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 0.0914371 0.995811i \(-0.470854\pi\)
0.998688 + 0.0512122i \(0.0163085\pi\)
\(648\) 40.2151 + 62.5760i 1.57980 + 2.45822i
\(649\) −7.40993 51.5372i −0.290865 2.02301i
\(650\) 27.3332 + 31.4739i 1.07210 + 1.23451i
\(651\) 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 −0.505219 0.862991i \(-0.668588\pi\)
−0.727887 + 0.685697i \(0.759497\pi\)
\(654\) 11.7894 + 25.8152i 0.461003 + 1.00945i
\(655\) −14.4093 + 31.5982i −0.563020 + 1.23464i
\(656\) 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 \(0.0225640\pi\)
\(660\) 61.9274 96.4779i 2.41052 3.75540i
\(661\) −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
\(665\) 9.59567 1.38505i 0.372104 0.0537101i
\(666\) −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
\(670\) 33.4205 21.5041i 1.29115 0.830776i
\(671\) −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 −0.869478 0.493972i \(-0.835545\pi\)
0.810527 + 0.585702i \(0.199181\pi\)
\(674\) −17.9250 + 39.2502i −0.690444 + 1.51186i
\(675\) −13.6384 21.1704i −0.524943 0.814849i
\(676\) 2.14134 14.8933i 0.0823592 0.572821i
\(677\) −1.60190 + 0.731565i −0.0615662 + 0.0281163i −0.445960 0.895053i \(-0.647138\pi\)
0.384394 + 0.923169i \(0.374410\pi\)
\(678\) 7.04979 24.0094i 0.270745 0.922074i
\(679\) −19.7833 5.80891i −0.759215 0.222926i
\(680\) 34.3814 10.1159i 1.31847 0.387927i
\(681\) −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 0.628092 0.778139i \(-0.283836\pi\)
−0.176766 + 0.984253i \(0.556564\pi\)
\(684\) −1.51504 0.973657i −0.0579290 0.0372287i
\(685\) 0.0129362 + 23.4474i 0.000494268 + 0.895881i
\(686\) −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
\(690\) −15.6032 + 47.9490i −0.594005 + 1.82539i
\(691\) −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
\(695\) −30.2996 + 0.0167166i −1.14933 + 0.000634098i
\(696\) −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
\(700\) −50.6327 + 7.33691i −1.91373 + 0.277309i
\(701\) 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
\(705\) 1.05211 + 1.21285i 0.0396249 + 0.0456786i
\(706\) 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 \(0.135134\pi\)
\(710\) −44.3846 68.9800i −1.66572 2.58878i
\(711\) −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
\(715\) −40.4805 + 5.84302i −1.51389 + 0.218516i
\(716\) 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 \(0.861308\pi\)
\(720\) 3.48419 + 2.23644i 0.129848 + 0.0833471i
\(721\) −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
\(725\) 8.71473 + 5.58704i 0.323657 + 0.207497i
\(726\) 44.0438 + 96.4425i 1.63462 + 3.57932i
\(727\) −26.1416 3.75859i −0.969538 0.139398i −0.360690 0.932686i \(-0.617459\pi\)
−0.608848 + 0.793287i \(0.708368\pi\)
\(728\) −38.5273 33.3841i −1.42792 1.23730i
\(729\) −10.5012 + 22.9945i −0.388934 + 0.851647i
\(730\) −39.8808 + 46.0763i −1.47606 + 1.70536i
\(731\) −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 \(0.713712\pi\)
−0.863516 + 0.504322i \(0.831743\pi\)
\(734\) −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 \(0.620811\pi\)
\(740\) 6.33613 2.89784i 0.232921 0.106527i
\(741\) 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 0.865147 0.501519i \(-0.167225\pi\)
0.187528 + 0.982259i \(0.439952\pi\)
\(744\) 14.5451 16.7859i 0.533248 0.615400i
\(745\) 39.2996 + 11.5159i 1.43983 + 0.421908i
\(746\) −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
\(750\) −44.2721 28.3485i −1.61659 1.03514i
\(751\) −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
\(755\) 16.2625 + 35.5579i 0.591851 + 1.29408i
\(756\) 33.7491 + 38.9486i 1.22744 + 1.41655i
\(757\) −0.581408 1.98009i −0.0211316 0.0719678i 0.948252 0.317518i \(-0.102849\pi\)
−0.969384 + 0.245550i \(0.921031\pi\)
\(758\) 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
\(765\) −0.594646 0.514690i −0.0214995 0.0186086i
\(766\) −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 \(0.559395\pi\)
\(770\) 29.2087 64.0516i 1.05261 2.30826i
\(771\) −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 0.348474 0.937318i \(-0.386700\pi\)
0.0702852 + 0.997527i \(0.477609\pi\)