Properties

Label 546.2.bu.b.71.4
Level $546$
Weight $2$
Character 546.71
Analytic conductor $4.360$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bu (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 71.4
Character \(\chi\) \(=\) 546.71
Dual form 546.2.bu.b.323.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.965926 + 0.258819i) q^{2} +(-0.186842 + 1.72194i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-2.04268 - 2.04268i) q^{5} +(-0.265197 - 1.71163i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-2.93018 - 0.643461i) q^{9} +O(q^{10})\) \(q+(-0.965926 + 0.258819i) q^{2} +(-0.186842 + 1.72194i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-2.04268 - 2.04268i) q^{5} +(-0.265197 - 1.71163i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-2.93018 - 0.643461i) q^{9} +(2.50176 + 1.44439i) q^{10} +(0.446430 + 1.66610i) q^{11} +(0.699162 + 1.58467i) q^{12} +(3.02199 + 1.96661i) q^{13} -1.00000i q^{14} +(3.89903 - 3.13572i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-3.47565 - 6.02001i) q^{17} +(2.99688 - 0.136851i) q^{18} +(-5.79151 - 1.55183i) q^{19} +(-2.79035 - 0.747671i) q^{20} +(-1.61491 - 0.626147i) q^{21} +(-0.862436 - 1.49378i) q^{22} +(3.94076 - 6.82559i) q^{23} +(-1.08548 - 1.34972i) q^{24} +3.34505i q^{25} +(-3.42802 - 1.11745i) q^{26} +(1.65548 - 4.92538i) q^{27} +(0.258819 + 0.965926i) q^{28} +(-2.64980 - 1.52986i) q^{29} +(-2.95459 + 4.03801i) q^{30} +(5.66232 - 5.66232i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(-2.95234 + 0.457430i) q^{33} +(4.91531 + 4.91531i) q^{34} +(2.50176 - 1.44439i) q^{35} +(-2.85934 + 0.907836i) q^{36} +(-5.75540 + 1.54215i) q^{37} +5.99581 q^{38} +(-3.95103 + 4.83625i) q^{39} +2.88878 q^{40} +(3.05005 - 0.817259i) q^{41} +(1.72194 + 0.186842i) q^{42} +(9.94067 - 5.73925i) q^{43} +(1.21967 + 1.21967i) q^{44} +(4.67103 + 7.29979i) q^{45} +(-2.03989 + 7.61296i) q^{46} +(-2.12290 + 2.12290i) q^{47} +(1.39783 + 1.02278i) q^{48} +(-0.866025 - 0.500000i) q^{49} +(-0.865763 - 3.23107i) q^{50} +(11.0155 - 4.86009i) q^{51} +(3.60043 + 0.192141i) q^{52} +1.27079i q^{53} +(-0.324292 + 5.18602i) q^{54} +(2.49139 - 4.31521i) q^{55} +(-0.500000 - 0.866025i) q^{56} +(3.75426 - 9.68270i) q^{57} +(2.95546 + 0.791914i) q^{58} +(-2.54856 - 0.682885i) q^{59} +(1.80880 - 4.66513i) q^{60} +(-2.57403 - 4.45834i) q^{61} +(-4.00386 + 6.93490i) q^{62} +(1.37992 - 2.66380i) q^{63} -1.00000i q^{64} +(-2.15580 - 10.1901i) q^{65} +(2.73335 - 1.20597i) q^{66} +(0.346835 + 1.29441i) q^{67} +(-6.02001 - 3.47565i) q^{68} +(11.0170 + 8.06107i) q^{69} +(-2.04268 + 2.04268i) q^{70} +(-2.86989 + 10.7106i) q^{71} +(2.52695 - 1.61695i) q^{72} +(-6.64934 - 6.64934i) q^{73} +(5.16015 - 2.97921i) q^{74} +(-5.75999 - 0.624995i) q^{75} +(-5.79151 + 1.55183i) q^{76} -1.72487 q^{77} +(2.56469 - 5.69407i) q^{78} -8.40565 q^{79} +(-2.79035 + 0.747671i) q^{80} +(8.17191 + 3.77092i) q^{81} +(-2.73460 + 1.57882i) q^{82} +(-10.1535 - 10.1535i) q^{83} +(-1.71163 + 0.265197i) q^{84} +(-5.19729 + 19.3966i) q^{85} +(-8.11652 + 8.11652i) q^{86} +(3.12943 - 4.27696i) q^{87} +(-1.49378 - 0.862436i) q^{88} +(0.857755 + 3.20119i) q^{89} +(-6.40119 - 5.84211i) q^{90} +(-2.68175 + 2.41002i) q^{91} -7.88152i q^{92} +(8.69224 + 10.8082i) q^{93} +(1.50112 - 2.60001i) q^{94} +(8.66029 + 15.0001i) q^{95} +(-1.61491 - 0.626147i) q^{96} +(-8.03620 - 2.15329i) q^{97} +(0.965926 + 0.258819i) q^{98} +(-0.236050 - 5.16923i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q + 8q^{6} - 24q^{9} + O(q^{10}) \) \( 56q + 8q^{6} - 24q^{9} + 24q^{10} + 8q^{11} + 24q^{13} + 4q^{15} + 28q^{16} - 4q^{17} - 8q^{18} + 8q^{19} + 4q^{21} - 8q^{23} - 8q^{24} - 4q^{26} - 24q^{27} - 8q^{30} - 8q^{31} + 8q^{33} - 24q^{34} + 24q^{35} - 12q^{36} - 8q^{37} - 20q^{39} - 28q^{41} + 8q^{44} + 72q^{45} - 20q^{46} + 64q^{50} + 16q^{54} + 8q^{55} - 28q^{56} + 4q^{58} - 8q^{59} + 20q^{60} + 8q^{61} - 32q^{62} - 16q^{63} - 24q^{65} + 32q^{66} - 16q^{69} - 112q^{71} + 8q^{73} + 48q^{74} + 40q^{75} + 8q^{76} + 16q^{79} + 12q^{81} - 4q^{83} - 4q^{84} + 32q^{85} - 16q^{86} - 144q^{87} + 88q^{89} - 8q^{90} - 8q^{91} + 52q^{93} - 8q^{94} - 48q^{95} + 4q^{96} - 64q^{97} + 56q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.965926 + 0.258819i −0.683013 + 0.183013i
\(3\) −0.186842 + 1.72194i −0.107873 + 0.994165i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) −2.04268 2.04268i −0.913513 0.913513i 0.0830341 0.996547i \(-0.473539\pi\)
−0.996547 + 0.0830341i \(0.973539\pi\)
\(6\) −0.265197 1.71163i −0.108266 0.698769i
\(7\) −0.258819 + 0.965926i −0.0978244 + 0.365086i
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) −2.93018 0.643461i −0.976727 0.214487i
\(10\) 2.50176 + 1.44439i 0.791125 + 0.456756i
\(11\) 0.446430 + 1.66610i 0.134604 + 0.502348i 0.999999 + 0.00125826i \(0.000400515\pi\)
−0.865396 + 0.501089i \(0.832933\pi\)
\(12\) 0.699162 + 1.58467i 0.201831 + 0.457454i
\(13\) 3.02199 + 1.96661i 0.838150 + 0.545440i
\(14\) 1.00000i 0.267261i
\(15\) 3.89903 3.13572i 1.00673 0.809639i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) −3.47565 6.02001i −0.842969 1.46007i −0.887373 0.461052i \(-0.847472\pi\)
0.0444037 0.999014i \(-0.485861\pi\)
\(18\) 2.99688 0.136851i 0.706371 0.0322560i
\(19\) −5.79151 1.55183i −1.32866 0.356014i −0.476446 0.879204i \(-0.658075\pi\)
−0.852216 + 0.523190i \(0.824742\pi\)
\(20\) −2.79035 0.747671i −0.623941 0.167184i
\(21\) −1.61491 0.626147i −0.352403 0.136636i
\(22\) −0.862436 1.49378i −0.183872 0.318476i
\(23\) 3.94076 6.82559i 0.821705 1.42323i −0.0827070 0.996574i \(-0.526357\pi\)
0.904412 0.426661i \(-0.140310\pi\)
\(24\) −1.08548 1.34972i −0.221573 0.275509i
\(25\) 3.34505i 0.669010i
\(26\) −3.42802 1.11745i −0.672289 0.219151i
\(27\) 1.65548 4.92538i 0.318598 0.947890i
\(28\) 0.258819 + 0.965926i 0.0489122 + 0.182543i
\(29\) −2.64980 1.52986i −0.492055 0.284088i 0.233372 0.972388i \(-0.425024\pi\)
−0.725427 + 0.688300i \(0.758357\pi\)
\(30\) −2.95459 + 4.03801i −0.539432 + 0.737237i
\(31\) 5.66232 5.66232i 1.01698 1.01698i 0.0171293 0.999853i \(-0.494547\pi\)
0.999853 0.0171293i \(-0.00545269\pi\)
\(32\) −0.258819 + 0.965926i −0.0457532 + 0.170753i
\(33\) −2.95234 + 0.457430i −0.513936 + 0.0796284i
\(34\) 4.91531 + 4.91531i 0.842969 + 0.842969i
\(35\) 2.50176 1.44439i 0.422874 0.244146i
\(36\) −2.85934 + 0.907836i −0.476557 + 0.151306i
\(37\) −5.75540 + 1.54215i −0.946182 + 0.253529i −0.698741 0.715375i \(-0.746256\pi\)
−0.247440 + 0.968903i \(0.579589\pi\)
\(38\) 5.99581 0.972648
\(39\) −3.95103 + 4.83625i −0.632671 + 0.774421i
\(40\) 2.88878 0.456756
\(41\) 3.05005 0.817259i 0.476338 0.127634i −0.0126588 0.999920i \(-0.504030\pi\)
0.488997 + 0.872285i \(0.337363\pi\)
\(42\) 1.72194 + 0.186842i 0.265702 + 0.0288303i
\(43\) 9.94067 5.73925i 1.51594 0.875227i 0.516113 0.856520i \(-0.327378\pi\)
0.999825 0.0187068i \(-0.00595491\pi\)
\(44\) 1.21967 + 1.21967i 0.183872 + 0.183872i
\(45\) 4.67103 + 7.29979i 0.696316 + 1.08819i
\(46\) −2.03989 + 7.61296i −0.300765 + 1.12247i
\(47\) −2.12290 + 2.12290i −0.309657 + 0.309657i −0.844776 0.535120i \(-0.820267\pi\)
0.535120 + 0.844776i \(0.320267\pi\)
\(48\) 1.39783 + 1.02278i 0.201759 + 0.147626i
\(49\) −0.866025 0.500000i −0.123718 0.0714286i
\(50\) −0.865763 3.23107i −0.122437 0.456943i
\(51\) 11.0155 4.86009i 1.54248 0.680549i
\(52\) 3.60043 + 0.192141i 0.499290 + 0.0266452i
\(53\) 1.27079i 0.174557i 0.996184 + 0.0872783i \(0.0278169\pi\)
−0.996184 + 0.0872783i \(0.972183\pi\)
\(54\) −0.324292 + 5.18602i −0.0441306 + 0.705728i
\(55\) 2.49139 4.31521i 0.335939 0.581863i
\(56\) −0.500000 0.866025i −0.0668153 0.115728i
\(57\) 3.75426 9.68270i 0.497263 1.28251i
\(58\) 2.95546 + 0.791914i 0.388072 + 0.103983i
\(59\) −2.54856 0.682885i −0.331795 0.0889041i 0.0890758 0.996025i \(-0.471609\pi\)
−0.420871 + 0.907121i \(0.638275\pi\)
\(60\) 1.80880 4.66513i 0.233515 0.602265i
\(61\) −2.57403 4.45834i −0.329570 0.570833i 0.652856 0.757482i \(-0.273571\pi\)
−0.982427 + 0.186649i \(0.940237\pi\)
\(62\) −4.00386 + 6.93490i −0.508491 + 0.880733i
\(63\) 1.37992 2.66380i 0.173854 0.335607i
\(64\) 1.00000i 0.125000i
\(65\) −2.15580 10.1901i −0.267394 1.26393i
\(66\) 2.73335 1.20597i 0.336452 0.148444i
\(67\) 0.346835 + 1.29441i 0.0423727 + 0.158137i 0.983871 0.178882i \(-0.0572480\pi\)
−0.941498 + 0.337019i \(0.890581\pi\)
\(68\) −6.02001 3.47565i −0.730033 0.421485i
\(69\) 11.0170 + 8.06107i 1.32629 + 0.970439i
\(70\) −2.04268 + 2.04268i −0.244146 + 0.244146i
\(71\) −2.86989 + 10.7106i −0.340593 + 1.27111i 0.557084 + 0.830456i \(0.311920\pi\)
−0.897677 + 0.440654i \(0.854747\pi\)
\(72\) 2.52695 1.61695i 0.297803 0.190560i
\(73\) −6.64934 6.64934i −0.778246 0.778246i 0.201286 0.979532i \(-0.435488\pi\)
−0.979532 + 0.201286i \(0.935488\pi\)
\(74\) 5.16015 2.97921i 0.599855 0.346327i
\(75\) −5.75999 0.624995i −0.665106 0.0721682i
\(76\) −5.79151 + 1.55183i −0.664331 + 0.178007i
\(77\) −1.72487 −0.196567
\(78\) 2.56469 5.69407i 0.290394 0.644726i
\(79\) −8.40565 −0.945710 −0.472855 0.881140i \(-0.656777\pi\)
−0.472855 + 0.881140i \(0.656777\pi\)
\(80\) −2.79035 + 0.747671i −0.311970 + 0.0835922i
\(81\) 8.17191 + 3.77092i 0.907991 + 0.418991i
\(82\) −2.73460 + 1.57882i −0.301986 + 0.174352i
\(83\) −10.1535 10.1535i −1.11449 1.11449i −0.992535 0.121957i \(-0.961083\pi\)
−0.121957 0.992535i \(-0.538917\pi\)
\(84\) −1.71163 + 0.265197i −0.186754 + 0.0289353i
\(85\) −5.19729 + 19.3966i −0.563725 + 2.10385i
\(86\) −8.11652 + 8.11652i −0.875227 + 0.875227i
\(87\) 3.12943 4.27696i 0.335510 0.458538i
\(88\) −1.49378 0.862436i −0.159238 0.0919360i
\(89\) 0.857755 + 3.20119i 0.0909219 + 0.339325i 0.996370 0.0851326i \(-0.0271314\pi\)
−0.905448 + 0.424458i \(0.860465\pi\)
\(90\) −6.40119 5.84211i −0.674745 0.615812i
\(91\) −2.68175 + 2.41002i −0.281124 + 0.252639i
\(92\) 7.88152i 0.821705i
\(93\) 8.69224 + 10.8082i 0.901343 + 1.12075i
\(94\) 1.50112 2.60001i 0.154828 0.268170i
\(95\) 8.66029 + 15.0001i 0.888527 + 1.53897i
\(96\) −1.61491 0.626147i −0.164821 0.0639059i
\(97\) −8.03620 2.15329i −0.815952 0.218634i −0.173376 0.984856i \(-0.555468\pi\)
−0.642576 + 0.766222i \(0.722134\pi\)
\(98\) 0.965926 + 0.258819i 0.0975732 + 0.0261447i
\(99\) −0.236050 5.16923i −0.0237239 0.519527i
\(100\) 1.67253 + 2.89690i 0.167253 + 0.289690i
\(101\) −3.11520 + 5.39568i −0.309974 + 0.536890i −0.978356 0.206928i \(-0.933654\pi\)
0.668383 + 0.743818i \(0.266987\pi\)
\(102\) −9.38228 + 7.54551i −0.928984 + 0.747117i
\(103\) 14.8902i 1.46718i −0.679594 0.733588i \(-0.737844\pi\)
0.679594 0.733588i \(-0.262156\pi\)
\(104\) −3.52748 + 0.746265i −0.345897 + 0.0731773i
\(105\) 2.01973 + 4.57776i 0.197105 + 0.446743i
\(106\) −0.328905 1.22749i −0.0319461 0.119224i
\(107\) 13.3846 + 7.72758i 1.29393 + 0.747053i 0.979349 0.202176i \(-0.0648012\pi\)
0.314585 + 0.949229i \(0.398135\pi\)
\(108\) −1.02900 5.09325i −0.0990155 0.490098i
\(109\) 6.00151 6.00151i 0.574840 0.574840i −0.358637 0.933477i \(-0.616758\pi\)
0.933477 + 0.358637i \(0.116758\pi\)
\(110\) −1.28964 + 4.81299i −0.122962 + 0.458901i
\(111\) −1.58016 10.1986i −0.149982 0.968009i
\(112\) 0.707107 + 0.707107i 0.0668153 + 0.0668153i
\(113\) −9.12535 + 5.26853i −0.858441 + 0.495621i −0.863490 0.504366i \(-0.831726\pi\)
0.00504883 + 0.999987i \(0.498393\pi\)
\(114\) −1.12027 + 10.3244i −0.104923 + 0.966973i
\(115\) −21.9922 + 5.89278i −2.05078 + 0.549505i
\(116\) −3.05972 −0.284088
\(117\) −7.58954 7.70707i −0.701653 0.712518i
\(118\) 2.63847 0.242891
\(119\) 6.71444 1.79913i 0.615512 0.164926i
\(120\) −0.539744 + 4.97432i −0.0492717 + 0.454091i
\(121\) 6.94970 4.01241i 0.631790 0.364764i
\(122\) 3.64022 + 3.64022i 0.329570 + 0.329570i
\(123\) 0.837398 + 5.40472i 0.0755056 + 0.487327i
\(124\) 2.07255 7.73487i 0.186121 0.694612i
\(125\) −3.38052 + 3.38052i −0.302363 + 0.302363i
\(126\) −0.643461 + 2.93018i −0.0573241 + 0.261041i
\(127\) −18.1226 10.4631i −1.60812 0.928448i −0.989791 0.142528i \(-0.954477\pi\)
−0.618329 0.785920i \(-0.712190\pi\)
\(128\) 0.258819 + 0.965926i 0.0228766 + 0.0853766i
\(129\) 8.02533 + 18.1896i 0.706591 + 1.60151i
\(130\) 4.71973 + 9.28492i 0.413948 + 0.814342i
\(131\) 7.19779i 0.628874i −0.949278 0.314437i \(-0.898184\pi\)
0.949278 0.314437i \(-0.101816\pi\)
\(132\) −2.32809 + 1.87232i −0.202634 + 0.162964i
\(133\) 2.99790 5.19252i 0.259951 0.450249i
\(134\) −0.670034 1.16053i −0.0578821 0.100255i
\(135\) −13.4426 + 6.67934i −1.15695 + 0.574866i
\(136\) 6.71444 + 1.79913i 0.575759 + 0.154274i
\(137\) 1.74850 + 0.468509i 0.149384 + 0.0400274i 0.332736 0.943020i \(-0.392028\pi\)
−0.183352 + 0.983047i \(0.558695\pi\)
\(138\) −12.7280 4.93499i −1.08348 0.420094i
\(139\) 7.89222 + 13.6697i 0.669409 + 1.15945i 0.978070 + 0.208278i \(0.0667860\pi\)
−0.308660 + 0.951172i \(0.599881\pi\)
\(140\) 1.44439 2.50176i 0.122073 0.211437i
\(141\) −3.25887 4.05216i −0.274446 0.341253i
\(142\) 11.0884i 0.930517i
\(143\) −1.92746 + 5.91289i −0.161183 + 0.494461i
\(144\) −2.02234 + 2.21588i −0.168529 + 0.184657i
\(145\) 2.28767 + 8.53769i 0.189980 + 0.709016i
\(146\) 8.14374 + 4.70179i 0.673981 + 0.389123i
\(147\) 1.02278 1.39783i 0.0843576 0.115291i
\(148\) −4.21324 + 4.21324i −0.346327 + 0.346327i
\(149\) −5.03455 + 18.7892i −0.412446 + 1.53927i 0.377451 + 0.926030i \(0.376801\pi\)
−0.789897 + 0.613240i \(0.789866\pi\)
\(150\) 5.72548 0.887097i 0.467484 0.0724312i
\(151\) 5.01991 + 5.01991i 0.408514 + 0.408514i 0.881220 0.472706i \(-0.156723\pi\)
−0.472706 + 0.881220i \(0.656723\pi\)
\(152\) 5.19252 2.99790i 0.421169 0.243162i
\(153\) 6.31065 + 19.8761i 0.510186 + 1.60689i
\(154\) 1.66610 0.446430i 0.134258 0.0359743i
\(155\) −23.1326 −1.85805
\(156\) −1.00357 + 6.16383i −0.0803495 + 0.493502i
\(157\) 7.53131 0.601064 0.300532 0.953772i \(-0.402836\pi\)
0.300532 + 0.953772i \(0.402836\pi\)
\(158\) 8.11924 2.17554i 0.645932 0.173077i
\(159\) −2.18823 0.237437i −0.173538 0.0188299i
\(160\) 2.50176 1.44439i 0.197781 0.114189i
\(161\) 5.57307 + 5.57307i 0.439220 + 0.439220i
\(162\) −8.86945 1.52738i −0.696850 0.120002i
\(163\) −0.397736 + 1.48437i −0.0311531 + 0.116265i −0.979751 0.200217i \(-0.935835\pi\)
0.948598 + 0.316482i \(0.102502\pi\)
\(164\) 2.23279 2.23279i 0.174352 0.174352i
\(165\) 6.96506 + 5.09629i 0.542229 + 0.396746i
\(166\) 12.4355 + 7.17962i 0.965179 + 0.557246i
\(167\) −1.88138 7.02139i −0.145585 0.543331i −0.999729 0.0232939i \(-0.992585\pi\)
0.854143 0.520037i \(-0.174082\pi\)
\(168\) 1.58467 0.699162i 0.122260 0.0539415i
\(169\) 5.26487 + 11.8862i 0.404990 + 0.914321i
\(170\) 20.0808i 1.54013i
\(171\) 15.9716 + 8.27375i 1.22138 + 0.632709i
\(172\) 5.73925 9.94067i 0.437614 0.757969i
\(173\) −7.09523 12.2893i −0.539440 0.934338i −0.998934 0.0461571i \(-0.985303\pi\)
0.459494 0.888181i \(-0.348031\pi\)
\(174\) −1.91584 + 4.94118i −0.145239 + 0.374590i
\(175\) −3.23107 0.865763i −0.244246 0.0654455i
\(176\) 1.66610 + 0.446430i 0.125587 + 0.0336509i
\(177\) 1.65207 4.26089i 0.124177 0.320268i
\(178\) −1.65706 2.87011i −0.124202 0.215124i
\(179\) 2.69411 4.66633i 0.201367 0.348778i −0.747602 0.664147i \(-0.768795\pi\)
0.948969 + 0.315369i \(0.102128\pi\)
\(180\) 7.69512 + 3.98629i 0.573561 + 0.297121i
\(181\) 14.2323i 1.05788i 0.848659 + 0.528940i \(0.177410\pi\)
−0.848659 + 0.528940i \(0.822590\pi\)
\(182\) 1.96661 3.02199i 0.145775 0.224005i
\(183\) 8.15795 3.59932i 0.603053 0.266070i
\(184\) 2.03989 + 7.61296i 0.150382 + 0.561235i
\(185\) 14.9065 + 8.60629i 1.09595 + 0.632747i
\(186\) −11.1934 8.19016i −0.820741 0.600531i
\(187\) 8.47829 8.47829i 0.619994 0.619994i
\(188\) −0.777035 + 2.89993i −0.0566711 + 0.211499i
\(189\) 4.32908 + 2.87386i 0.314894 + 0.209042i
\(190\) −12.2475 12.2475i −0.888527 0.888527i
\(191\) −0.744908 + 0.430073i −0.0538996 + 0.0311190i −0.526708 0.850046i \(-0.676574\pi\)
0.472808 + 0.881165i \(0.343240\pi\)
\(192\) 1.72194 + 0.186842i 0.124271 + 0.0134841i
\(193\) 1.78606 0.478574i 0.128564 0.0344485i −0.193963 0.981009i \(-0.562134\pi\)
0.322527 + 0.946560i \(0.395468\pi\)
\(194\) 8.31968 0.597318
\(195\) 17.9496 1.80823i 1.28540 0.129490i
\(196\) −1.00000 −0.0714286
\(197\) −12.9669 + 3.47446i −0.923852 + 0.247545i −0.689231 0.724542i \(-0.742051\pi\)
−0.234621 + 0.972087i \(0.575385\pi\)
\(198\) 1.56590 + 4.93200i 0.111284 + 0.350502i
\(199\) −20.7346 + 11.9711i −1.46984 + 0.848610i −0.999427 0.0338395i \(-0.989226\pi\)
−0.470408 + 0.882449i \(0.655893\pi\)
\(200\) −2.36531 2.36531i −0.167253 0.167253i
\(201\) −2.29370 + 0.355382i −0.161785 + 0.0250667i
\(202\) 1.61254 6.01810i 0.113458 0.423432i
\(203\) 2.16355 2.16355i 0.151851 0.151851i
\(204\) 7.10966 9.71671i 0.497776 0.680306i
\(205\) −7.89967 4.56088i −0.551737 0.318545i
\(206\) 3.85387 + 14.3828i 0.268512 + 1.00210i
\(207\) −15.9391 + 17.4645i −1.10785 + 1.21387i
\(208\) 3.21413 1.63382i 0.222860 0.113285i
\(209\) 10.3420i 0.715371i
\(210\) −3.13572 3.89903i −0.216385 0.269059i
\(211\) −1.46282 + 2.53368i −0.100705 + 0.174426i −0.911975 0.410245i \(-0.865443\pi\)
0.811270 + 0.584671i \(0.198776\pi\)
\(212\) 0.635396 + 1.10054i 0.0436391 + 0.0755852i
\(213\) −17.9068 6.94296i −1.22695 0.475724i
\(214\) −14.9285 4.00009i −1.02049 0.273441i
\(215\) −32.0290 8.58214i −2.18436 0.585297i
\(216\) 2.31217 + 4.65337i 0.157323 + 0.316622i
\(217\) 4.00386 + 6.93490i 0.271800 + 0.470771i
\(218\) −4.24371 + 7.35032i −0.287420 + 0.497826i
\(219\) 12.6922 10.2074i 0.857657 0.689753i
\(220\) 4.98278i 0.335939i
\(221\) 1.33563 25.0277i 0.0898442 1.68354i
\(222\) 4.16591 + 9.44213i 0.279597 + 0.633714i
\(223\) −4.11651 15.3630i −0.275662 1.02878i −0.955397 0.295325i \(-0.904572\pi\)
0.679735 0.733458i \(-0.262095\pi\)
\(224\) −0.866025 0.500000i −0.0578638 0.0334077i
\(225\) 2.15241 9.80161i 0.143494 0.653440i
\(226\) 7.45082 7.45082i 0.495621 0.495621i
\(227\) 3.35272 12.5125i 0.222528 0.830484i −0.760852 0.648925i \(-0.775219\pi\)
0.983380 0.181559i \(-0.0581144\pi\)
\(228\) −1.59007 10.2626i −0.105305 0.679657i
\(229\) −9.74834 9.74834i −0.644189 0.644189i 0.307394 0.951582i \(-0.400543\pi\)
−0.951582 + 0.307394i \(0.900543\pi\)
\(230\) 19.7176 11.3840i 1.30014 0.750638i
\(231\) 0.322278 2.97013i 0.0212043 0.195420i
\(232\) 2.95546 0.791914i 0.194036 0.0519917i
\(233\) 17.7198 1.16086 0.580430 0.814310i \(-0.302885\pi\)
0.580430 + 0.814310i \(0.302885\pi\)
\(234\) 9.32567 + 5.48014i 0.609638 + 0.358248i
\(235\) 8.67279 0.565750
\(236\) −2.54856 + 0.682885i −0.165897 + 0.0444521i
\(237\) 1.57053 14.4741i 0.102017 0.940191i
\(238\) −6.02001 + 3.47565i −0.390219 + 0.225293i
\(239\) 3.93333 + 3.93333i 0.254426 + 0.254426i 0.822782 0.568357i \(-0.192421\pi\)
−0.568357 + 0.822782i \(0.692421\pi\)
\(240\) −0.766095 4.94452i −0.0494512 0.319167i
\(241\) 2.28012 8.50951i 0.146875 0.548146i −0.852790 0.522255i \(-0.825091\pi\)
0.999665 0.0258910i \(-0.00824227\pi\)
\(242\) −5.67440 + 5.67440i −0.364764 + 0.364764i
\(243\) −8.02016 + 13.3670i −0.514493 + 0.857494i
\(244\) −4.45834 2.57403i −0.285416 0.164785i
\(245\) 0.747671 + 2.79035i 0.0477670 + 0.178269i
\(246\) −2.20771 5.00382i −0.140758 0.319032i
\(247\) −14.4500 16.0793i −0.919434 1.02310i
\(248\) 8.00773i 0.508491i
\(249\) 19.3809 15.5867i 1.22821 0.987766i
\(250\) 2.39039 4.14028i 0.151182 0.261854i
\(251\) −1.15656 2.00322i −0.0730013 0.126442i 0.827214 0.561887i \(-0.189924\pi\)
−0.900215 + 0.435445i \(0.856591\pi\)
\(252\) −0.136851 2.99688i −0.00862078 0.188786i
\(253\) 13.1314 + 3.51854i 0.825563 + 0.221209i
\(254\) 20.2131 + 5.41609i 1.26828 + 0.339836i
\(255\) −32.4287 12.5735i −2.03076 0.787385i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −4.19256 + 7.26172i −0.261525 + 0.452974i −0.966647 0.256112i \(-0.917559\pi\)
0.705123 + 0.709085i \(0.250892\pi\)
\(258\) −12.4597 15.4927i −0.775707 0.964533i
\(259\) 5.95843i 0.370239i
\(260\) −6.96203 7.74699i −0.431767 0.480448i
\(261\) 6.77998 + 6.18781i 0.419670 + 0.383016i
\(262\) 1.86293 + 6.95253i 0.115092 + 0.429529i
\(263\) −1.44442 0.833937i −0.0890669 0.0514228i 0.454805 0.890591i \(-0.349709\pi\)
−0.543872 + 0.839168i \(0.683042\pi\)
\(264\) 1.76417 2.41107i 0.108577 0.148391i
\(265\) 2.59581 2.59581i 0.159460 0.159460i
\(266\) −1.55183 + 5.79151i −0.0951488 + 0.355100i
\(267\) −5.67253 + 0.878892i −0.347153 + 0.0537873i
\(268\) 0.947571 + 0.947571i 0.0578821 + 0.0578821i
\(269\) 17.3350 10.0084i 1.05693 0.610222i 0.132352 0.991203i \(-0.457747\pi\)
0.924583 + 0.380981i \(0.124414\pi\)
\(270\) 11.2558 9.93094i 0.685006 0.604378i
\(271\) 19.9354 5.34166i 1.21099 0.324483i 0.403838 0.914831i \(-0.367676\pi\)
0.807149 + 0.590348i \(0.201009\pi\)
\(272\) −6.95130 −0.421485
\(273\) −3.64886 5.06812i −0.220839 0.306736i
\(274\) −1.81018 −0.109357
\(275\) −5.57319 + 1.49333i −0.336076 + 0.0900512i
\(276\) 13.5715 + 1.47259i 0.816910 + 0.0886398i
\(277\) 6.91279 3.99110i 0.415349 0.239802i −0.277736 0.960657i \(-0.589584\pi\)
0.693086 + 0.720855i \(0.256251\pi\)
\(278\) −11.1613 11.1613i −0.669409 0.669409i
\(279\) −20.2351 + 12.9481i −1.21144 + 0.775184i
\(280\) −0.747671 + 2.79035i −0.0446819 + 0.166755i
\(281\) 11.4207 11.4207i 0.681299 0.681299i −0.278994 0.960293i \(-0.590001\pi\)
0.960293 + 0.278994i \(0.0900008\pi\)
\(282\) 4.19660 + 3.07063i 0.249904 + 0.182853i
\(283\) 7.14047 + 4.12255i 0.424457 + 0.245060i 0.696982 0.717088i \(-0.254526\pi\)
−0.272525 + 0.962149i \(0.587859\pi\)
\(284\) 2.86989 + 10.7106i 0.170296 + 0.635555i
\(285\) −27.4474 + 12.1099i −1.62584 + 0.717328i
\(286\) 0.331419 6.21028i 0.0195972 0.367221i
\(287\) 3.15765i 0.186390i
\(288\) 1.37992 2.66380i 0.0813127 0.156966i
\(289\) −15.6603 + 27.1245i −0.921195 + 1.59556i
\(290\) −4.41943 7.65468i −0.259518 0.449498i
\(291\) 5.20934 13.4356i 0.305377 0.787606i
\(292\) −9.08317 2.43383i −0.531552 0.142429i
\(293\) 14.2375 + 3.81492i 0.831763 + 0.222870i 0.649483 0.760376i \(-0.274985\pi\)
0.182280 + 0.983247i \(0.441652\pi\)
\(294\) −0.626147 + 1.61491i −0.0365176 + 0.0941836i
\(295\) 3.81098 + 6.60080i 0.221884 + 0.384314i
\(296\) 2.97921 5.16015i 0.173163 0.299928i
\(297\) 8.94523 + 0.559363i 0.519055 + 0.0324575i
\(298\) 19.4520i 1.12682i
\(299\) 25.3322 12.8769i 1.46500 0.744693i
\(300\) −5.30080 + 2.33873i −0.306042 + 0.135027i
\(301\) 2.97085 + 11.0874i 0.171237 + 0.639066i
\(302\) −6.14811 3.54961i −0.353784 0.204257i
\(303\) −8.70901 6.37233i −0.500319 0.366081i
\(304\) −4.23968 + 4.23968i −0.243162 + 0.243162i
\(305\) −3.84905 + 14.3649i −0.220396 + 0.822529i
\(306\) −11.2399 17.5656i −0.642545 1.00416i
\(307\) 7.53860 + 7.53860i 0.430250 + 0.430250i 0.888713 0.458463i \(-0.151600\pi\)
−0.458463 + 0.888713i \(0.651600\pi\)
\(308\) −1.49378 + 0.862436i −0.0851162 + 0.0491418i
\(309\) 25.6401 + 2.78211i 1.45861 + 0.158269i
\(310\) 22.3443 5.98715i 1.26907 0.340047i
\(311\) −13.1987 −0.748432 −0.374216 0.927342i \(-0.622088\pi\)
−0.374216 + 0.927342i \(0.622088\pi\)
\(312\) −0.625948 6.21355i −0.0354373 0.351773i
\(313\) −19.2373 −1.08736 −0.543679 0.839293i \(-0.682969\pi\)
−0.543679 + 0.839293i \(0.682969\pi\)
\(314\) −7.27469 + 1.94925i −0.410534 + 0.110002i
\(315\) −8.26001 + 2.62254i −0.465399 + 0.147763i
\(316\) −7.27951 + 4.20283i −0.409504 + 0.236427i
\(317\) 4.57322 + 4.57322i 0.256858 + 0.256858i 0.823775 0.566917i \(-0.191864\pi\)
−0.566917 + 0.823775i \(0.691864\pi\)
\(318\) 2.17512 0.337010i 0.121975 0.0188986i
\(319\) 1.36595 5.09780i 0.0764786 0.285422i
\(320\) −2.04268 + 2.04268i −0.114189 + 0.114189i
\(321\) −15.8073 + 21.6036i −0.882275 + 1.20580i
\(322\) −6.82559 3.94076i −0.380375 0.219610i
\(323\) 10.7872 + 40.2585i 0.600218 + 2.24004i
\(324\) 8.96254 0.820249i 0.497919 0.0455694i
\(325\) −6.57842 + 10.1087i −0.364905 + 0.560731i
\(326\) 1.53673i 0.0851118i
\(327\) 9.21293 + 11.4556i 0.509476 + 0.633496i
\(328\) −1.57882 + 2.73460i −0.0871760 + 0.150993i
\(329\) −1.50112 2.60001i −0.0827592 0.143343i
\(330\) −8.04674 3.11995i −0.442959 0.171748i
\(331\) 22.8621 + 6.12587i 1.25661 + 0.336708i 0.824888 0.565297i \(-0.191238\pi\)
0.431725 + 0.902005i \(0.357905\pi\)
\(332\) −13.8700 3.71644i −0.761213 0.203966i
\(333\) 17.8567 0.815414i 0.978540 0.0446844i
\(334\) 3.63454 + 6.29521i 0.198873 + 0.344458i
\(335\) 1.93558 3.35253i 0.105752 0.183168i
\(336\) −1.34972 + 1.08548i −0.0736330 + 0.0592179i
\(337\) 29.0006i 1.57976i −0.613260 0.789881i \(-0.710142\pi\)
0.613260 0.789881i \(-0.289858\pi\)
\(338\) −8.16184 10.1185i −0.443946 0.550375i
\(339\) −7.36711 16.6977i −0.400126 0.906896i
\(340\) 5.19729 + 19.3966i 0.281863 + 1.05193i
\(341\) 11.9618 + 6.90615i 0.647768 + 0.373989i
\(342\) −17.5688 3.85807i −0.950012 0.208621i
\(343\) 0.707107 0.707107i 0.0381802 0.0381802i
\(344\) −2.97085 + 11.0874i −0.160178 + 0.597791i
\(345\) −6.03799 38.9703i −0.325074 2.09809i
\(346\) 10.0342 + 10.0342i 0.539440 + 0.539440i
\(347\) 10.5525 6.09249i 0.566488 0.327062i −0.189257 0.981928i \(-0.560608\pi\)
0.755745 + 0.654865i \(0.227275\pi\)
\(348\) 0.571683 5.26867i 0.0306454 0.282430i
\(349\) −28.0558 + 7.51754i −1.50179 + 0.402404i −0.913700 0.406388i \(-0.866788\pi\)
−0.588094 + 0.808793i \(0.700121\pi\)
\(350\) 3.34505 0.178801
\(351\) 14.6892 11.6288i 0.784050 0.620697i
\(352\) −1.72487 −0.0919360
\(353\) 8.58425 2.30014i 0.456894 0.122424i −0.0230296 0.999735i \(-0.507331\pi\)
0.479923 + 0.877310i \(0.340665\pi\)
\(354\) −0.492975 + 4.54329i −0.0262013 + 0.241473i
\(355\) 27.7405 16.0160i 1.47231 0.850039i
\(356\) 2.34343 + 2.34343i 0.124202 + 0.124202i
\(357\) 1.84346 + 11.8980i 0.0975664 + 0.629711i
\(358\) −1.39457 + 5.20462i −0.0737055 + 0.275073i
\(359\) 13.6176 13.6176i 0.718709 0.718709i −0.249632 0.968341i \(-0.580310\pi\)
0.968341 + 0.249632i \(0.0803096\pi\)
\(360\) −8.46465 1.85882i −0.446126 0.0979683i
\(361\) 14.6789 + 8.47486i 0.772573 + 0.446045i
\(362\) −3.68360 13.7474i −0.193606 0.722546i
\(363\) 5.61065 + 12.7167i 0.294483 + 0.667452i
\(364\) −1.11745 + 3.42802i −0.0585705 + 0.179677i
\(365\) 27.1649i 1.42188i
\(366\) −6.94840 + 5.58811i −0.363199 + 0.292095i
\(367\) −9.81631 + 17.0024i −0.512407 + 0.887516i 0.487489 + 0.873129i \(0.337913\pi\)
−0.999897 + 0.0143866i \(0.995420\pi\)
\(368\) −3.94076 6.82559i −0.205426 0.355809i
\(369\) −9.46308 + 0.432126i −0.492628 + 0.0224956i
\(370\) −16.6261 4.45494i −0.864349 0.231602i
\(371\) −1.22749 0.328905i −0.0637281 0.0170759i
\(372\) 12.9318 + 5.01401i 0.670481 + 0.259965i
\(373\) 7.66469 + 13.2756i 0.396863 + 0.687386i 0.993337 0.115246i \(-0.0367656\pi\)
−0.596474 + 0.802632i \(0.703432\pi\)
\(374\) −5.99505 + 10.3837i −0.309997 + 0.536930i
\(375\) −5.18945 6.45269i −0.267982 0.333216i
\(376\) 3.00223i 0.154828i
\(377\) −4.99902 9.83435i −0.257463 0.506495i
\(378\) −4.92538 1.65548i −0.253334 0.0851489i
\(379\) −2.11146 7.88009i −0.108459 0.404773i 0.890256 0.455461i \(-0.150525\pi\)
−0.998715 + 0.0506876i \(0.983859\pi\)
\(380\) 15.0001 + 8.66029i 0.769487 + 0.444263i
\(381\) 21.4029 29.2511i 1.09650 1.49858i
\(382\) 0.608215 0.608215i 0.0311190 0.0311190i
\(383\) 6.84818 25.5578i 0.349926 1.30594i −0.536826 0.843693i \(-0.680377\pi\)
0.886751 0.462247i \(-0.152957\pi\)
\(384\) −1.71163 + 0.265197i −0.0873462 + 0.0135333i
\(385\) 3.52335 + 3.52335i 0.179567 + 0.179567i
\(386\) −1.60134 + 0.924534i −0.0815060 + 0.0470575i
\(387\) −32.8209 + 10.4206i −1.66838 + 0.529709i
\(388\) −8.03620 + 2.15329i −0.407976 + 0.109317i
\(389\) −15.4625 −0.783981 −0.391990 0.919969i \(-0.628213\pi\)
−0.391990 + 0.919969i \(0.628213\pi\)
\(390\) −16.8700 + 6.39230i −0.854243 + 0.323687i
\(391\) −54.7868 −2.77069
\(392\) 0.965926 0.258819i 0.0487866 0.0130723i
\(393\) 12.3942 + 1.34485i 0.625204 + 0.0678386i
\(394\) 11.6258 6.71215i 0.585698 0.338153i
\(395\) 17.1700 + 17.1700i 0.863918 + 0.863918i
\(396\) −2.78904 4.35866i −0.140155 0.219031i
\(397\) −6.10106 + 22.7694i −0.306203 + 1.14277i 0.625701 + 0.780063i \(0.284813\pi\)
−0.931905 + 0.362703i \(0.881854\pi\)
\(398\) 16.9297 16.9297i 0.848610 0.848610i
\(399\) 8.38110 + 6.13240i 0.419580 + 0.307004i
\(400\) 2.89690 + 1.67253i 0.144845 + 0.0836263i
\(401\) −2.88110 10.7524i −0.143875 0.536949i −0.999803 0.0198538i \(-0.993680\pi\)
0.855928 0.517095i \(-0.172987\pi\)
\(402\) 2.12356 0.936925i 0.105914 0.0467296i
\(403\) 28.2471 5.97589i 1.40709 0.297680i
\(404\) 6.23039i 0.309974i
\(405\) −8.98982 24.3953i −0.446708 1.21221i
\(406\) −1.52986 + 2.64980i −0.0759257 + 0.131507i
\(407\) −5.13876 8.90060i −0.254719 0.441186i
\(408\) −4.35254 + 11.2257i −0.215483 + 0.555757i
\(409\) −18.5711 4.97612i −0.918283 0.246053i −0.231432 0.972851i \(-0.574341\pi\)
−0.686851 + 0.726798i \(0.741008\pi\)
\(410\) 8.81094 + 2.36088i 0.435141 + 0.116596i
\(411\) −1.13344 + 2.92328i −0.0559084 + 0.144195i
\(412\) −7.44511 12.8953i −0.366794 0.635306i
\(413\) 1.31923 2.28498i 0.0649152 0.112436i
\(414\) 10.8759 20.9948i 0.534520 1.03184i
\(415\) 41.4807i 2.03621i
\(416\) −2.68175 + 2.41002i −0.131484 + 0.118161i
\(417\) −25.0131 + 11.0359i −1.22490 + 0.540430i
\(418\) 2.67671 + 9.98961i 0.130922 + 0.488608i
\(419\) 15.9960 + 9.23531i 0.781457 + 0.451174i 0.836946 0.547285i \(-0.184339\pi\)
−0.0554894 + 0.998459i \(0.517672\pi\)
\(420\) 4.03801 + 2.95459i 0.197035 + 0.144169i
\(421\) 20.9699 20.9699i 1.02201 1.02201i 0.0222576 0.999752i \(-0.492915\pi\)
0.999752 0.0222576i \(-0.00708540\pi\)
\(422\) 0.757212 2.82595i 0.0368605 0.137565i
\(423\) 7.58648 4.85447i 0.368867 0.236033i
\(424\) −0.898585 0.898585i −0.0436391 0.0436391i
\(425\) 20.1372 11.6262i 0.976799 0.563955i
\(426\) 19.0936 + 2.07177i 0.925087 + 0.100378i
\(427\) 4.97264 1.33241i 0.240643 0.0644800i
\(428\) 15.4552 0.747053
\(429\) −9.82153 4.42376i −0.474188 0.213581i
\(430\) 33.1589 1.59906
\(431\) 9.63530 2.58177i 0.464116 0.124360i −0.0191808 0.999816i \(-0.506106\pi\)
0.483297 + 0.875456i \(0.339439\pi\)
\(432\) −3.43776 3.89638i −0.165399 0.187465i
\(433\) 22.5884 13.0414i 1.08553 0.626731i 0.153148 0.988203i \(-0.451059\pi\)
0.932383 + 0.361472i \(0.117726\pi\)
\(434\) −5.66232 5.66232i −0.271800 0.271800i
\(435\) −15.1289 + 2.34404i −0.725373 + 0.112388i
\(436\) 2.19670 8.19821i 0.105203 0.392623i
\(437\) −33.4151 + 33.4151i −1.59846 + 1.59846i
\(438\) −9.61781 + 13.1446i −0.459557 + 0.628072i
\(439\) 13.7683 + 7.94912i 0.657125 + 0.379391i 0.791180 0.611583i \(-0.209467\pi\)
−0.134056 + 0.990974i \(0.542800\pi\)
\(440\) 1.28964 + 4.81299i 0.0614810 + 0.229450i
\(441\) 2.21588 + 2.02234i 0.105518 + 0.0963021i
\(442\) 5.18752 + 24.5206i 0.246745 + 1.16632i
\(443\) 5.40463i 0.256782i −0.991724 0.128391i \(-0.959019\pi\)
0.991724 0.128391i \(-0.0409812\pi\)
\(444\) −6.46776 8.04218i −0.306946 0.381665i
\(445\) 4.78687 8.29111i 0.226919 0.393036i
\(446\) 7.95248 + 13.7741i 0.376561 + 0.652222i
\(447\) −31.4133 12.1798i −1.48580 0.576085i
\(448\) 0.965926 + 0.258819i 0.0456357 + 0.0122281i
\(449\) −16.3882 4.39121i −0.773407 0.207234i −0.149531 0.988757i \(-0.547776\pi\)
−0.623876 + 0.781523i \(0.714443\pi\)
\(450\) 0.457772 + 10.0247i 0.0215796 + 0.472569i
\(451\) 2.72327 + 4.71684i 0.128234 + 0.222107i
\(452\) −5.26853 + 9.12535i −0.247811 + 0.429221i
\(453\) −9.58193 + 7.70608i −0.450198 + 0.362063i
\(454\) 12.9539i 0.607957i
\(455\) 10.4008 + 0.555053i 0.487599 + 0.0260213i
\(456\) 4.19204 + 9.50136i 0.196310 + 0.444942i
\(457\) 0.0705509 + 0.263300i 0.00330023 + 0.0123166i 0.967556 0.252655i \(-0.0813039\pi\)
−0.964256 + 0.264972i \(0.914637\pi\)
\(458\) 11.9392 + 6.89312i 0.557884 + 0.322094i
\(459\) −35.4047 + 7.15289i −1.65255 + 0.333868i
\(460\) −16.0994 + 16.0994i −0.750638 + 0.750638i
\(461\) −5.91669 + 22.0814i −0.275568 + 1.02843i 0.679892 + 0.733312i \(0.262027\pi\)
−0.955460 + 0.295121i \(0.904640\pi\)
\(462\) 0.457430 + 2.95234i 0.0212816 + 0.137355i
\(463\) −4.23145 4.23145i −0.196652 0.196652i 0.601911 0.798563i \(-0.294406\pi\)
−0.798563 + 0.601911i \(0.794406\pi\)
\(464\) −2.64980 + 1.52986i −0.123014 + 0.0710220i
\(465\) 4.32213 39.8330i 0.200434 1.84721i
\(466\) −17.1160 + 4.58621i −0.792882 + 0.212452i
\(467\) 11.2748 0.521735 0.260868 0.965375i \(-0.415991\pi\)
0.260868 + 0.965375i \(0.415991\pi\)
\(468\) −10.4263 2.87974i −0.481954 0.133116i
\(469\) −1.34007 −0.0618786
\(470\) −8.37727 + 2.24468i −0.386415 + 0.103539i
\(471\) −1.40716 + 12.9685i −0.0648386 + 0.597557i
\(472\) 2.28498 1.31923i 0.105175 0.0607226i
\(473\) 14.0000 + 14.0000i 0.643719 + 0.643719i
\(474\) 2.22915 + 14.3873i 0.102388 + 0.660833i
\(475\) 5.19095 19.3729i 0.238177 0.888889i
\(476\) 4.91531 4.91531i 0.225293 0.225293i
\(477\) 0.817705 3.72365i 0.0374401 0.170494i
\(478\) −4.81732 2.78128i −0.220339 0.127213i
\(479\) 0.236062 + 0.880996i 0.0107860 + 0.0402538i 0.971109 0.238636i \(-0.0767003\pi\)
−0.960323 + 0.278890i \(0.910034\pi\)
\(480\) 2.01973 + 4.57776i 0.0921875 + 0.208945i
\(481\) −20.4256 6.65826i −0.931327 0.303591i
\(482\) 8.80969i 0.401270i
\(483\) −10.6378 + 8.55524i −0.484037 + 0.389277i
\(484\) 4.01241 6.94970i 0.182382 0.315895i
\(485\) 12.0169 + 20.8138i 0.545658 + 0.945107i
\(486\) 4.28724 14.9873i 0.194473 0.679838i
\(487\) −7.04569 1.88789i −0.319271 0.0855483i 0.0956247 0.995417i \(-0.469515\pi\)
−0.414895 + 0.909869i \(0.636182\pi\)
\(488\) 4.97264 + 1.33241i 0.225101 + 0.0603156i
\(489\) −2.48169 0.962221i −0.112226 0.0435131i
\(490\) −1.44439 2.50176i −0.0652509 0.113018i
\(491\) −16.7764 + 29.0576i −0.757109 + 1.31135i 0.187209 + 0.982320i \(0.440056\pi\)
−0.944319 + 0.329032i \(0.893278\pi\)
\(492\) 3.42757 + 4.26193i 0.154527 + 0.192142i
\(493\) 21.2691i 0.957910i
\(494\) 18.1193 + 11.7914i 0.815225 + 0.530522i
\(495\) −10.0769 + 11.0412i −0.452922 + 0.496267i
\(496\) −2.07255 7.73487i −0.0930604 0.347306i
\(497\) −9.60283 5.54420i −0.430746 0.248691i
\(498\) −14.6864 + 20.0717i −0.658111 + 0.899435i
\(499\) 4.17983 4.17983i 0.187115 0.187115i −0.607333 0.794448i \(-0.707760\pi\)
0.794448 + 0.607333i \(0.207760\pi\)
\(500\) −1.23736 + 4.61788i −0.0553363 + 0.206518i
\(501\) 12.4420 1.92774i 0.555866 0.0861249i
\(502\) 1.63562 + 1.63562i 0.0730013 + 0.0730013i
\(503\) 34.3630 19.8395i 1.53217 0.884599i 0.532909 0.846173i \(-0.321099\pi\)
0.999261 0.0384265i \(-0.0122345\pi\)
\(504\) 0.907836 + 2.85934i 0.0404382 + 0.127365i
\(505\) 17.3850 4.65829i 0.773621 0.207291i
\(506\) −13.5946 −0.604354
\(507\) −21.4510 + 6.84497i −0.952673 + 0.303996i
\(508\) −20.9262 −0.928448
\(509\) −7.78615 + 2.08629i −0.345115 + 0.0924733i −0.427213 0.904151i \(-0.640505\pi\)
0.0820981 + 0.996624i \(0.473838\pi\)
\(510\) 34.5780 + 3.75193i 1.53114 + 0.166138i
\(511\) 8.14374 4.70179i 0.360258 0.207995i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) −17.2311 + 25.9563i −0.760771 + 1.14600i
\(514\) 2.17023 8.09940i 0.0957246 0.357249i
\(515\) −30.4159 + 30.4159i −1.34028 + 1.34028i
\(516\) 16.0449 + 11.7400i 0.706339 + 0.516824i
\(517\) −4.48468 2.58923i −0.197236 0.113874i
\(518\) 1.54215 + 5.75540i 0.0677584 + 0.252878i
\(519\) 22.4872 9.92143i 0.987077 0.435503i
\(520\) 8.72987 + 5.68111i 0.382830 + 0.249133i
\(521\) 14.4268i 0.632049i −0.948751 0.316024i \(-0.897652\pi\)
0.948751 0.316024i \(-0.102348\pi\)
\(522\) −8.15048 4.22218i −0.356737 0.184800i
\(523\) −3.76733 + 6.52521i −0.164734 + 0.285328i −0.936561 0.350505i \(-0.886010\pi\)
0.771827 + 0.635833i \(0.219343\pi\)
\(524\) −3.59890 6.23347i −0.157219 0.272310i
\(525\) 2.09449 5.40196i 0.0914112 0.235761i
\(526\) 1.61104 + 0.431678i 0.0702448 + 0.0188220i
\(527\) −53.7674 14.4069i −2.34215 0.627576i
\(528\) −1.08002 + 2.78552i −0.0470020 + 0.121224i
\(529\) −19.5591 33.8774i −0.850398 1.47293i
\(530\) −1.83552 + 3.17921i −0.0797298 + 0.138096i
\(531\) 7.02834 + 3.64088i 0.305004 + 0.158001i
\(532\) 5.99581i 0.259951i
\(533\) 10.8245 + 3.52852i 0.468860 + 0.152837i
\(534\) 5.25177 2.31710i 0.227266 0.100271i
\(535\) −11.5554 43.1253i −0.499583 1.86447i
\(536\) −1.16053 0.670034i −0.0501274 0.0289411i
\(537\) 7.53179 + 5.51097i 0.325021 + 0.237816i
\(538\) −14.1540 + 14.1540i −0.610222 + 0.610222i
\(539\) 0.446430 1.66610i 0.0192291 0.0717639i
\(540\) −8.30194 + 12.5058i −0.357259 + 0.538162i
\(541\) −11.0227 11.0227i −0.473903 0.473903i 0.429272 0.903175i \(-0.358770\pi\)
−0.903175 + 0.429272i \(0.858770\pi\)
\(542\) −17.8736 + 10.3193i −0.767735 + 0.443252i
\(543\) −24.5073 2.65919i −1.05171 0.114117i
\(544\) 6.71444 1.79913i 0.287879 0.0771371i
\(545\) −24.5183 −1.05025
\(546\) 4.83625 + 3.95103i 0.206973 + 0.169088i
\(547\) 21.0958 0.901990 0.450995 0.892527i \(-0.351069\pi\)
0.450995 + 0.892527i \(0.351069\pi\)
\(548\) 1.74850 0.468509i 0.0746922 0.0200137i
\(549\) 4.67359 + 14.7200i 0.199464 + 0.628236i
\(550\) 4.99678 2.88489i 0.213063 0.123012i
\(551\) 12.9722 + 12.9722i 0.552636 + 0.552636i
\(552\) −13.4902 + 2.09015i −0.574182 + 0.0889628i
\(553\) 2.17554 8.11924i 0.0925135 0.345265i
\(554\) −5.64427 + 5.64427i −0.239802 + 0.239802i
\(555\) −17.6047 + 24.0602i −0.747278 + 1.02130i
\(556\) 13.6697 + 7.89222i 0.579725 + 0.334705i
\(557\) −5.57264 20.7974i −0.236120 0.881213i −0.977641 0.210283i \(-0.932562\pi\)
0.741520 0.670931i \(-0.234105\pi\)
\(558\) 16.1944 17.7442i 0.685563 0.751170i
\(559\) 41.3275 + 2.20549i 1.74797 + 0.0932823i
\(560\) 2.88878i 0.122073i
\(561\) 13.0150 + 16.1832i 0.549495 + 0.683256i
\(562\) −8.07562 + 13.9874i −0.340650 + 0.590022i
\(563\) −12.5256 21.6950i −0.527891 0.914333i −0.999471 0.0325105i \(-0.989650\pi\)
0.471581 0.881823i \(-0.343684\pi\)
\(564\) −4.84834 1.87984i −0.204152 0.0791555i
\(565\) 29.4020 + 7.87825i 1.23695 + 0.331441i
\(566\) −7.96416 2.13399i −0.334759 0.0896983i
\(567\) −5.75747 + 6.91748i −0.241791 + 0.290507i
\(568\) −5.54420 9.60283i −0.232629 0.402926i
\(569\) 11.3432 19.6469i 0.475530 0.823642i −0.524077 0.851671i \(-0.675590\pi\)
0.999607 + 0.0280285i \(0.00892293\pi\)
\(570\) 23.3778 18.8012i 0.979190 0.787494i
\(571\) 7.57683i 0.317080i −0.987353 0.158540i \(-0.949321\pi\)
0.987353 0.158540i \(-0.0506787\pi\)
\(572\) 1.28721 + 6.08444i 0.0538210 + 0.254403i
\(573\) −0.601381 1.36304i −0.0251231 0.0569420i
\(574\) −0.817259 3.05005i −0.0341118 0.127307i
\(575\) 22.8320 + 13.1820i 0.952159 + 0.549729i
\(576\) −0.643461 + 2.93018i −0.0268109 + 0.122091i
\(577\) 5.29010 5.29010i 0.220230 0.220230i −0.588366 0.808595i \(-0.700228\pi\)
0.808595 + 0.588366i \(0.200228\pi\)
\(578\) 8.10637 30.2534i 0.337181 1.25838i
\(579\) 0.490367 + 3.16492i 0.0203789 + 0.131529i
\(580\) 6.25002 + 6.25002i 0.259518 + 0.259518i
\(581\) 12.4355 7.17962i 0.515910 0.297861i
\(582\) −1.55446 + 14.3260i −0.0644346 + 0.593833i
\(583\) −2.11726 + 0.567319i −0.0876881 + 0.0234959i
\(584\) 9.40359 0.389123
\(585\) −0.240064 + 31.2460i −0.00992542 + 1.29186i
\(586\) −14.7397 −0.608893
\(587\) 6.00016 1.60774i 0.247653 0.0663585i −0.132857 0.991135i \(-0.542415\pi\)
0.380510 + 0.924777i \(0.375748\pi\)
\(588\) 0.186842 1.72194i 0.00770522 0.0710118i
\(589\) −41.5803 + 24.0064i −1.71329 + 0.989167i
\(590\) −5.38953 5.38953i −0.221884 0.221884i
\(591\) −3.56008 22.9774i −0.146442 0.945164i
\(592\) −1.54215 + 5.75540i −0.0633822 + 0.236545i
\(593\) −30.4769 + 30.4769i −1.25154 + 1.25154i −0.296504 + 0.955032i \(0.595821\pi\)
−0.955032 + 0.296504i \(0.904179\pi\)
\(594\) −8.78520 + 1.77489i −0.360461 + 0.0728247i
\(595\) −17.3905 10.0404i −0.712940 0.411616i
\(596\) 5.03455 + 18.7892i 0.206223 + 0.769635i
\(597\) −16.7395 37.9405i −0.685102 1.55280i
\(598\) −21.1363 + 18.9946i −0.864326 + 0.776748i
\(599\) 16.8196i 0.687229i 0.939111 + 0.343614i \(0.111651\pi\)
−0.939111 + 0.343614i \(0.888349\pi\)
\(600\) 4.51487 3.63099i 0.184319 0.148235i
\(601\) −18.5605 + 32.1476i −0.757097 + 1.31133i 0.187229 + 0.982316i \(0.440049\pi\)
−0.944325 + 0.329013i \(0.893284\pi\)
\(602\) −5.73925 9.94067i −0.233914 0.405151i
\(603\) −0.183389 4.01602i −0.00746818 0.163545i
\(604\) 6.85732 + 1.83741i 0.279021 + 0.0747633i
\(605\) −22.3920 5.99993i −0.910365 0.243932i
\(606\) 10.0615 + 3.90114i 0.408722 + 0.158473i
\(607\) −6.76372 11.7151i −0.274531 0.475502i 0.695486 0.718540i \(-0.255189\pi\)
−0.970017 + 0.243038i \(0.921856\pi\)
\(608\) 2.99790 5.19252i 0.121581 0.210585i
\(609\) 3.32127 + 4.12975i 0.134585 + 0.167346i
\(610\) 14.8716i 0.602133i
\(611\) −10.5903 + 2.24046i −0.428438 + 0.0906394i
\(612\) 15.4033 + 14.0579i 0.622640 + 0.568258i
\(613\) −6.63090 24.7468i −0.267819 0.999515i −0.960502 0.278273i \(-0.910238\pi\)
0.692683 0.721242i \(-0.256429\pi\)
\(614\) −9.23286 5.33059i −0.372608 0.215125i
\(615\) 9.32956 12.7506i 0.376204 0.514155i
\(616\) 1.21967 1.21967i 0.0491418 0.0491418i
\(617\) 3.63391 13.5620i 0.146296 0.545984i −0.853398 0.521259i \(-0.825462\pi\)
0.999694 0.0247245i \(-0.00787085\pi\)
\(618\) −25.4865 + 3.94884i −1.02522 + 0.158845i
\(619\) −2.26075 2.26075i −0.0908673 0.0908673i 0.660212 0.751079i \(-0.270466\pi\)
−0.751079 + 0.660212i \(0.770466\pi\)
\(620\) −20.0334 + 11.5663i −0.804560 + 0.464513i
\(621\) −27.0948 30.7094i −1.08728 1.23233i
\(622\) 12.7490 3.41609i 0.511188 0.136973i
\(623\) −3.31411 −0.132777
\(624\) 2.21280 + 5.83982i 0.0885831 + 0.233780i
\(625\) 30.5359 1.22144
\(626\) 18.5818 4.97899i 0.742679 0.199000i
\(627\) 17.8083 + 1.93232i 0.711197 + 0.0771693i
\(628\) 6.52231 3.76566i 0.260268 0.150266i
\(629\) 29.2875 + 29.2875i 1.16777 + 1.16777i
\(630\) 7.29979 4.67103i 0.290831 0.186098i
\(631\) −5.21129 + 19.4488i −0.207458 + 0.774245i 0.781228 + 0.624246i \(0.214594\pi\)
−0.988686 + 0.149999i \(0.952073\pi\)
\(632\) 5.94369 5.94369i 0.236427 0.236427i
\(633\) −4.08954 2.99229i −0.162545 0.118933i
\(634\) −5.60103 3.23376i −0.222445 0.128429i
\(635\) 15.6459 + 58.3913i 0.620888 + 2.31719i
\(636\) −2.01378 + 0.888489i −0.0798516 + 0.0352309i
\(637\) −1.63382 3.21413i −0.0647341 0.127349i
\(638\) 5.27763i 0.208943i
\(639\) 15.3011 29.5372i 0.605303 1.16847i
\(640\) 1.44439 2.50176i 0.0570945 0.0988906i
\(641\) 6.54052 + 11.3285i 0.258335 + 0.447449i 0.965796 0.259303i \(-0.0834928\pi\)
−0.707461 + 0.706752i \(0.750159\pi\)
\(642\) 9.67720 24.9587i 0.381929 0.985042i
\(643\) 37.5442 + 10.0599i 1.48060 + 0.396726i 0.906551 0.422096i \(-0.138705\pi\)
0.574049 + 0.818821i \(0.305372\pi\)
\(644\) 7.61296 + 2.03989i 0.299993 + 0.0803828i
\(645\) 20.7623 53.5486i 0.817515 2.10848i
\(646\) −20.8393 36.0948i −0.819913 1.42013i
\(647\) 14.4953 25.1065i 0.569868 0.987040i −0.426711 0.904388i \(-0.640328\pi\)
0.996578 0.0826520i \(-0.0263390\pi\)
\(648\) −8.44486 + 3.11198i −0.331745 + 0.122250i
\(649\) 4.55102i 0.178643i
\(650\) 3.73794 11.4669i 0.146614 0.449769i
\(651\) −12.6896 + 5.59870i −0.497344 + 0.219430i
\(652\) 0.397736 + 1.48437i 0.0155765 + 0.0581324i
\(653\) 34.2471 + 19.7726i 1.34019 + 0.773761i 0.986835 0.161728i \(-0.0517066\pi\)
0.353358 + 0.935488i \(0.385040\pi\)
\(654\) −11.8639 8.68077i −0.463916 0.339445i
\(655\) −14.7028 + 14.7028i −0.574484 + 0.574484i
\(656\) 0.817259 3.05005i 0.0319086 0.119085i
\(657\) 15.2052 + 23.7624i 0.593210 + 0.927058i
\(658\) 2.12290 + 2.12290i 0.0827592 + 0.0827592i
\(659\) 43.6509 25.2019i 1.70040 0.981726i 0.755050 0.655667i \(-0.227613\pi\)
0.945350 0.326059i \(-0.105721\pi\)
\(660\) 8.58006 + 0.930990i 0.333978 + 0.0362387i
\(661\) −31.1518 + 8.34711i −1.21167 + 0.324665i −0.807415 0.589984i \(-0.799134\pi\)
−0.404250 + 0.914648i \(0.632468\pi\)
\(662\) −23.6686 −0.919905
\(663\) 42.8467 + 6.97609i 1.66403 + 0.270929i
\(664\) 14.3592 0.557246
\(665\) −16.7304 + 4.48289i −0.648777 + 0.173839i
\(666\) −17.0372 + 5.40928i −0.660177 + 0.209605i
\(667\) −20.8844 + 12.0576i −0.808648 + 0.466873i
\(668\) −5.14001 5.14001i −0.198873 0.198873i
\(669\) 27.2234 4.21794i 1.05252 0.163075i
\(670\) −1.00193 + 3.73926i −0.0387080 + 0.144460i
\(671\) 6.27892 6.27892i 0.242395 0.242395i
\(672\) 1.02278 1.39783i 0.0394546 0.0539223i
\(673\) −14.3618 8.29182i −0.553609 0.319626i 0.196968 0.980410i \(-0.436891\pi\)
−0.750576 + 0.660784i \(0.770224\pi\)
\(674\) 7.50590 + 28.0124i 0.289117 + 1.07900i
\(675\) 16.4757 + 5.53768i 0.634148 + 0.213145i
\(676\) 10.5026 + 7.66130i 0.403946 + 0.294665i
\(677\) 43.7323i 1.68077i −0.541991 0.840384i \(-0.682329\pi\)
0.541991 0.840384i \(-0.317671\pi\)
\(678\) 11.4378 + 14.2220i 0.439265 + 0.546193i
\(679\) 4.15984 7.20506i 0.159640 0.276505i
\(680\) −10.0404 17.3905i −0.385032 0.666894i
\(681\) 20.9194 + 8.11104i 0.801633 + 0.310816i
\(682\) −13.3417 3.57489i −0.510879 0.136890i
\(683\) −4.92584 1.31987i −0.188482 0.0505036i 0.163343 0.986569i \(-0.447772\pi\)
−0.351825 + 0.936066i \(0.614439\pi\)
\(684\) 17.9687 0.820530i 0.687050 0.0313737i
\(685\) −2.61461 4.52863i −0.0998990 0.173030i
\(686\) −0.500000 + 0.866025i −0.0190901 + 0.0330650i
\(687\) 18.6075 14.9647i 0.709920 0.570939i
\(688\) 11.4785i 0.437614i
\(689\) −2.49915 + 3.84032i −0.0952102 + 0.146305i
\(690\) 15.9185 + 36.0797i 0.606007 + 1.37353i
\(691\) −0.776008 2.89610i −0.0295207 0.110173i 0.949593 0.313484i \(-0.101496\pi\)
−0.979114 + 0.203311i \(0.934830\pi\)
\(692\) −12.2893 7.09523i −0.467169 0.269720i
\(693\) 5.05419 + 1.10989i 0.191993 + 0.0421612i
\(694\) −8.61608 + 8.61608i −0.327062 + 0.327062i
\(695\) 11.8016 44.0441i 0.447659 1.67069i
\(696\) 0.811428 + 5.23711i 0.0307571 + 0.198512i
\(697\) −15.5208 15.5208i −0.587893 0.587893i
\(698\) 25.1542 14.5228i 0.952099 0.549695i
\(699\) −3.31079 + 30.5124i −0.125225 + 1.15409i
\(700\) −3.23107 + 0.865763i −0.122123 + 0.0327228i
\(701\) −24.6775 −0.932055 −0.466027 0.884770i \(-0.654315\pi\)
−0.466027 + 0.884770i \(0.654315\pi\)
\(702\) −11.1789 + 15.0344i −0.421921 + 0.567435i
\(703\) 35.7256 1.34742
\(704\) 1.66610 0.446430i 0.0627934 0.0168255i
\(705\) −1.62044 + 14.9341i −0.0610292 + 0.562449i
\(706\) −7.69643 + 4.44354i −0.289659 + 0.167235i
\(707\) −4.40555 4.40555i −0.165688 0.165688i
\(708\) −0.699713 4.51607i −0.0262968 0.169724i
\(709\) −5.45655 + 20.3641i −0.204925 + 0.764791i 0.784547 + 0.620069i \(0.212895\pi\)
−0.989472 + 0.144722i \(0.953771\pi\)
\(710\) −22.6500 + 22.6500i −0.850039 + 0.850039i
\(711\) 24.6301 + 5.40871i 0.923700 + 0.202843i
\(712\) −2.87011 1.65706i −0.107562 0.0621008i
\(713\) −16.3349 60.9625i −0.611745 2.28306i
\(714\) −4.86009 11.0155i −0.181884 0.412245i
\(715\) 16.0153 8.14093i 0.598938 0.304454i
\(716\) 5.38822i 0.201367i
\(717\) −7.50788 + 6.03806i −0.280387 + 0.225496i
\(718\) −9.62909 + 16.6781i −0.359355 + 0.622420i
\(719\) 4.85123 + 8.40257i 0.180920 + 0.313363i 0.942194 0.335067i \(-0.108759\pi\)
−0.761274 + 0.648430i \(0.775426\pi\)
\(720\) 8.65732 0.395331i 0.322639 0.0147331i
\(721\) 14.3828 + 3.85387i 0.535645 + 0.143526i
\(722\) −16.3722 4.38691i −0.609309 0.163264i
\(723\) 14.2269 + 5.51616i 0.529103 + 0.205148i
\(724\) 7.11616 + 12.3256i 0.264470 + 0.458076i
\(725\) 5.11747 8.86371i 0.190058 0.329190i
\(726\) −8.71079 10.8312i −0.323288 0.401984i
\(727\) 7.28473i 0.270176i −0.990834 0.135088i \(-0.956868\pi\)
0.990834 0.135088i \(-0.0431316\pi\)
\(728\) 0.192141 3.60043i 0.00712122 0.133441i
\(729\) −21.5187 16.3078i −0.796991 0.603992i
\(730\) −7.03079 26.2393i −0.260221 0.971159i
\(731\) −69.1006 39.8953i −2.55578 1.47558i
\(732\) 5.26533 7.19608i 0.194612 0.265975i
\(733\) −24.5636 + 24.5636i −0.907278 + 0.907278i −0.996052 0.0887735i \(-0.971705\pi\)
0.0887735 + 0.996052i \(0.471705\pi\)
\(734\) 5.08130 18.9637i 0.187554 0.699962i
\(735\) −4.94452 + 0.766095i −0.182381 + 0.0282578i
\(736\) 5.57307 + 5.57307i 0.205426 + 0.205426i
\(737\) −2.00177 + 1.15572i −0.0737362 + 0.0425716i
\(738\) 9.02879 2.86663i 0.332354 0.105522i
\(739\) 7.84445 2.10191i 0.288563 0.0773201i −0.111634 0.993749i \(-0.535608\pi\)
0.400197 + 0.916429i \(0.368942\pi\)
\(740\) 17.2126 0.632747
\(741\) 30.3875 21.8779i 1.11631 0.803704i
\(742\) 1.27079 0.0466522
\(743\) −34.2598 + 9.17990i −1.25687 + 0.336778i −0.824987 0.565151i \(-0.808818\pi\)
−0.431884 + 0.901929i \(0.642151\pi\)
\(744\) −13.7889 1.49618i −0.505524 0.0548525i
\(745\) 48.6642 28.0963i 1.78292 1.02937i
\(746\) −10.8395 10.8395i −0.396863 0.396863i
\(747\) 23.2182 + 36.2850i 0.849511 + 1.32760i
\(748\) 3.10327 11.5816i 0.113467 0.423464i
\(749\) −10.9284 + 10.9284i −0.399317 + 0.399317i
\(750\) 6.68270 + 4.88969i 0.244018 + 0.178546i
\(751\) −12.5690 7.25670i −0.458648 0.264801i 0.252827 0.967511i \(-0.418640\pi\)
−0.711476 + 0.702711i \(0.751973\pi\)
\(752\) 0.777035 + 2.89993i 0.0283355 + 0.105750i
\(753\) 3.66552 1.61724i 0.133579 0.0589356i
\(754\) 7.37400 + 8.20541i 0.268545 + 0.298824i
\(755\) 20.5081i 0.746366i
\(756\) 5.18602 + 0.324292i 0.188614 + 0.0117944i
\(757\) −22.5379 + 39.0368i −0.819155 + 1.41882i 0.0871511 + 0.996195i \(0.472224\pi\)
−0.906306 + 0.422623i \(0.861110\pi\)
\(758\) 4.07903 + 7.06509i 0.148157 + 0.256616i
\(759\) −8.51222 + 21.9541i −0.308974 + 0.796883i
\(760\) −16.7304 4.48289i −0.606875 0.162612i
\(761\) 46.9700 + 12.5856i 1.70266 + 0.456227i 0.973608 0.228229i \(-0.0732933\pi\)
0.729055 + 0.684455i \(0.239960\pi\)
\(762\) −13.1028 + 33.7939i −0.474666 + 1.22422i
\(763\) 4.24371 + 7.35032i 0.153633 + 0.266099i
\(764\) −0.430073 + 0.744908i −0.0155595 + 0.0269498i
\(765\) 27.7099 53.4911i 1.00185 1.93398i
\(766\) 26.4593i 0.956015i
\(767\) −6.35877 7.07571i −0.229602 0.255489i
\(768\) 1.58467 0.699162i 0.0571818 0.0252288i
\(769\) 1.71215 + 6.38984i 0.0617418 + 0.230423i 0.989901 0.141760i \(-0.0452760\pi\)
−0.928159 + 0.372183i \(0.878609\pi\)
\(770\) −4.31521 2.49139i −0.155509 0.0897834i
\(771\) −11.7209 8.57614i −0.422119 0.308862i
\(772\) 1.30749 1.30749i 0.0470575 0.0470575i
\(773\) −11.4518 + 42.7389i −0.411894 + 1.53721i 0.379082 + 0.925363i \(0.376240\pi\)
−0.790976 + 0.611847i \(0.790427\pi\)