Properties

Label 546.2.bu.a.71.9
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 71.9
Character \(\chi\) \(=\) 546.71
Dual form 546.2.bu.a.323.9

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 - 0.258819i) q^{2} +(-1.39783 + 1.02278i) q^{3} +(0.866025 - 0.500000i) q^{4} +(2.04268 + 2.04268i) q^{5} +(-1.08548 + 1.34972i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(0.707107 - 0.707107i) q^{8} +(0.907836 - 2.85934i) q^{9} +O(q^{10})\) \(q+(0.965926 - 0.258819i) q^{2} +(-1.39783 + 1.02278i) q^{3} +(0.866025 - 0.500000i) q^{4} +(2.04268 + 2.04268i) q^{5} +(-1.08548 + 1.34972i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(0.707107 - 0.707107i) q^{8} +(0.907836 - 2.85934i) 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} +(-4.94452 - 0.766095i) q^{15} +(0.500000 - 0.866025i) q^{16} +(3.47565 + 6.02001i) q^{17} +(0.136851 - 2.99688i) q^{18} +(-5.79151 - 1.55183i) q^{19} +(2.79035 + 0.747671i) q^{20} +(-0.626147 - 1.61491i) q^{21} +(-0.862436 - 1.49378i) q^{22} +(-3.94076 + 6.82559i) q^{23} +(-0.265197 + 1.71163i) 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} +(-4.97432 + 0.539744i) q^{30} +(5.66232 - 5.66232i) q^{31} +(0.258819 - 0.965926i) q^{32} +(2.32809 + 1.87232i) q^{33} +(4.91531 + 4.91531i) q^{34} +(-2.50176 + 1.44439i) q^{35} +(-0.643461 - 2.93018i) q^{36} +(-5.75540 + 1.54215i) q^{37} -5.99581 q^{38} +(-6.23563 + 0.341854i) q^{39} +2.88878 q^{40} +(-3.05005 + 0.817259i) q^{41} +(-1.02278 - 1.39783i) q^{42} +(9.94067 - 5.73925i) q^{43} +(-1.21967 - 1.21967i) q^{44} +(7.69512 - 3.98629i) q^{45} +(-2.03989 + 7.61296i) q^{46} +(2.12290 - 2.12290i) q^{47} +(0.186842 + 1.72194i) 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} +(2.87386 + 4.32908i) q^{54} +(2.49139 - 4.31521i) q^{55} +(0.500000 + 0.866025i) q^{56} +(9.68270 - 3.75426i) q^{57} +(2.95546 + 0.791914i) q^{58} +(2.54856 + 0.682885i) q^{59} +(-4.66513 + 1.80880i) q^{60} +(-2.57403 - 4.45834i) q^{61} +(4.00386 - 6.93490i) q^{62} +(2.52695 + 1.61695i) 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} +(-1.47259 - 13.5715i) q^{69} +(-2.04268 + 2.04268i) q^{70} +(2.86989 - 10.7106i) q^{71} +(-1.37992 - 2.66380i) q^{72} +(-6.64934 - 6.64934i) q^{73} +(-5.16015 + 2.97921i) q^{74} +(-3.42126 - 4.67580i) q^{75} +(-5.79151 + 1.55183i) q^{76} +1.72487 q^{77} +(-5.93468 + 1.94411i) q^{78} -8.40565 q^{79} +(2.79035 - 0.747671i) q^{80} +(-7.35167 - 5.19163i) q^{81} +(-2.73460 + 1.57882i) q^{82} +(10.1535 + 10.1535i) q^{83} +(-1.34972 - 1.08548i) q^{84} +(-5.19729 + 19.3966i) q^{85} +(8.11652 - 8.11652i) q^{86} +(-5.26867 + 0.571683i) 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} +(-2.12362 + 13.7063i) q^{93} +(1.50112 - 2.60001i) q^{94} +(-8.66029 - 15.0001i) q^{95} +(0.626147 + 1.61491i) q^{96} +(-8.03620 - 2.15329i) q^{97} +(-0.965926 - 0.258819i) q^{98} +(-5.16923 - 0.236050i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 8q^{6} + 24q^{9} + O(q^{10}) \) \( 56q - 8q^{6} + 24q^{9} + 24q^{10} - 8q^{11} + 24q^{13} - 4q^{15} + 28q^{16} + 4q^{17} + 8q^{19} + 4q^{21} + 8q^{23} + 8q^{24} + 4q^{26} - 24q^{27} - 16q^{30} - 8q^{31} - 32q^{33} - 24q^{34} - 24q^{35} - 12q^{36} - 8q^{37} - 60q^{39} + 28q^{41} - 8q^{44} - 40q^{45} - 20q^{46} - 64q^{50} + 8q^{54} + 8q^{55} + 28q^{56} + 40q^{57} + 4q^{58} + 8q^{59} + 4q^{60} + 8q^{61} + 32q^{62} + 24q^{65} + 32q^{66} - 56q^{69} + 112q^{71} + 16q^{72} + 8q^{73} - 48q^{74} - 40q^{75} + 8q^{76} - 8q^{78} + 16q^{79} + 12q^{81} + 4q^{83} - 4q^{84} + 32q^{85} + 16q^{86} + 144q^{87} - 88q^{89} + 8q^{90} - 8q^{91} - 76q^{93} - 8q^{94} + 48q^{95} - 4q^{96} - 64q^{97} - 40q^{99} + O(q^{100}) \)

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
\(3\) −1.39783 + 1.02278i −0.807035 + 0.590503i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) 2.04268 + 2.04268i 0.913513 + 0.913513i 0.996547 0.0830341i \(-0.0264611\pi\)
−0.0830341 + 0.996547i \(0.526461\pi\)
\(6\) −1.08548 + 1.34972i −0.443146 + 0.551019i
\(7\) −0.258819 + 0.965926i −0.0978244 + 0.365086i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) 0.907836 2.85934i 0.302612 0.953114i
\(10\) 2.50176 + 1.44439i 0.791125 + 0.456756i
\(11\) −0.446430 1.66610i −0.134604 0.502348i −0.999999 0.00125826i \(-0.999599\pi\)
0.865396 0.501089i \(-0.167067\pi\)
\(12\) −0.699162 + 1.58467i −0.201831 + 0.457454i
\(13\) 3.02199 + 1.96661i 0.838150 + 0.545440i
\(14\) 1.00000i 0.267261i
\(15\) −4.94452 0.766095i −1.27667 0.197805i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) 3.47565 + 6.02001i 0.842969 + 1.46007i 0.887373 + 0.461052i \(0.152528\pi\)
−0.0444037 + 0.999014i \(0.514139\pi\)
\(18\) 0.136851 2.99688i 0.0322560 0.706371i
\(19\) −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
\(21\) −0.626147 1.61491i −0.136636 0.352403i
\(22\) −0.862436 1.49378i −0.183872 0.318476i
\(23\) −3.94076 + 6.82559i −0.821705 + 1.42323i 0.0827070 + 0.996574i \(0.473643\pi\)
−0.904412 + 0.426661i \(0.859690\pi\)
\(24\) −0.265197 + 1.71163i −0.0541331 + 0.349385i
\(25\) 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 0.725427 0.688300i \(-0.241643\pi\)
−0.233372 + 0.972388i \(0.574976\pi\)
\(30\) −4.97432 + 0.539744i −0.908182 + 0.0985434i
\(31\) 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
\(33\) 2.32809 + 1.87232i 0.405268 + 0.325928i
\(34\) 4.91531 + 4.91531i 0.842969 + 0.842969i
\(35\) −2.50176 + 1.44439i −0.422874 + 0.244146i
\(36\) −0.643461 2.93018i −0.107244 0.488363i
\(37\) −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
\(39\) −6.23563 + 0.341854i −0.998501 + 0.0547404i
\(40\) 2.88878 0.456756
\(41\) −3.05005 + 0.817259i −0.476338 + 0.127634i −0.488997 0.872285i \(-0.662637\pi\)
0.0126588 + 0.999920i \(0.495970\pi\)
\(42\) −1.02278 1.39783i −0.157819 0.215689i
\(43\) 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
\(45\) 7.69512 3.98629i 1.14712 0.594241i
\(46\) −2.03989 + 7.61296i −0.300765 + 1.12247i
\(47\) 2.12290 2.12290i 0.309657 0.309657i −0.535120 0.844776i \(-0.679733\pi\)
0.844776 + 0.535120i \(0.179733\pi\)
\(48\) 0.186842 + 1.72194i 0.0269683 + 0.248541i
\(49\) −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 \(-0.972183\pi\)
0.996184 0.0872783i \(-0.0278169\pi\)
\(54\) 2.87386 + 4.32908i 0.391082 + 0.589113i
\(55\) 2.49139 4.31521i 0.335939 0.581863i
\(56\) 0.500000 + 0.866025i 0.0668153 + 0.115728i
\(57\) 9.68270 3.75426i 1.28251 0.497263i
\(58\) 2.95546 + 0.791914i 0.388072 + 0.103983i
\(59\) 2.54856 + 0.682885i 0.331795 + 0.0889041i 0.420871 0.907121i \(-0.361725\pi\)
−0.0890758 + 0.996025i \(0.528391\pi\)
\(60\) −4.66513 + 1.80880i −0.602265 + 0.233515i
\(61\) −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
\(63\) 2.52695 + 1.61695i 0.318365 + 0.203717i
\(64\) 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
\(69\) −1.47259 13.5715i −0.177280 1.63382i
\(70\) −2.04268 + 2.04268i −0.244146 + 0.244146i
\(71\) 2.86989 10.7106i 0.340593 1.27111i −0.557084 0.830456i \(-0.688080\pi\)
0.897677 0.440654i \(-0.145253\pi\)
\(72\) −1.37992 2.66380i −0.162625 0.313931i
\(73\) −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
\(75\) −3.42126 4.67580i −0.395053 0.539915i
\(76\) −5.79151 + 1.55183i −0.664331 + 0.178007i
\(77\) 1.72487 0.196567
\(78\) −5.93468 + 1.94411i −0.671970 + 0.220127i
\(79\) −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
\(81\) −7.35167 5.19163i −0.816852 0.576848i
\(82\) −2.73460 + 1.57882i −0.301986 + 0.174352i
\(83\) 10.1535 + 10.1535i 1.11449 + 1.11449i 0.992535 + 0.121957i \(0.0389171\pi\)
0.121957 + 0.992535i \(0.461083\pi\)
\(84\) −1.34972 1.08548i −0.147266 0.118436i
\(85\) −5.19729 + 19.3966i −0.563725 + 2.10385i
\(86\) 8.11652 8.11652i 0.875227 0.875227i
\(87\) −5.26867 + 0.571683i −0.564861 + 0.0612909i
\(88\) −1.49378 0.862436i −0.159238 0.0919360i
\(89\) −0.857755 3.20119i −0.0909219 0.339325i 0.905448 0.424458i \(-0.139535\pi\)
−0.996370 + 0.0851326i \(0.972869\pi\)
\(90\) 6.40119 5.84211i 0.674745 0.615812i
\(91\) −2.68175 + 2.41002i −0.281124 + 0.252639i
\(92\) 7.88152i 0.821705i
\(93\) −2.12362 + 13.7063i −0.220210 + 1.42127i
\(94\) 1.50112 2.60001i 0.154828 0.268170i
\(95\) −8.66029 15.0001i −0.888527 1.53897i
\(96\) 0.626147 + 1.61491i 0.0639059 + 0.164821i
\(97\) −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
\(99\) −5.16923 0.236050i −0.519527 0.0237239i
\(100\) 1.67253 + 2.89690i 0.167253 + 0.289690i
\(101\) 3.11520 5.39568i 0.309974 0.536890i −0.668383 0.743818i \(-0.733013\pi\)
0.978356 + 0.206928i \(0.0663464\pi\)
\(102\) −11.8980 1.84346i −1.17808 0.182530i
\(103\) 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 −0.314585 0.949229i \(-0.601865\pi\)
−0.979349 + 0.202176i \(0.935199\pi\)
\(108\) 3.89638 + 3.43776i 0.374929 + 0.330799i
\(109\) 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
\(111\) 6.46776 8.04218i 0.613893 0.763330i
\(112\) 0.707107 + 0.707107i 0.0668153 + 0.0668153i
\(113\) 9.12535 5.26853i 0.858441 0.495621i −0.00504883 0.999987i \(-0.501607\pi\)
0.863490 + 0.504366i \(0.168274\pi\)
\(114\) 8.38110 6.13240i 0.784962 0.574352i
\(115\) −21.9922 + 5.89278i −2.05078 + 0.549505i
\(116\) 3.05972 0.284088
\(117\) 8.36669 6.85554i 0.773501 0.633795i
\(118\) 2.63847 0.242891
\(119\) −6.71444 + 1.79913i −0.615512 + 0.164926i
\(120\) −4.03801 + 2.95459i −0.368618 + 0.269716i
\(121\) 6.94970 4.01241i 0.631790 0.364764i
\(122\) −3.64022 3.64022i −0.329570 0.329570i
\(123\) 3.42757 4.26193i 0.309053 0.384285i
\(124\) 2.07255 7.73487i 0.186121 0.694612i
\(125\) 3.38052 3.38052i 0.302363 0.302363i
\(126\) 2.85934 + 0.907836i 0.254730 + 0.0808765i
\(127\) −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 \(0.101816\pi\)
−0.949278 + 0.314437i \(0.898184\pi\)
\(132\) 2.95234 + 0.457430i 0.256968 + 0.0398142i
\(133\) 2.99790 5.19252i 0.259951 0.450249i
\(134\) 0.670034 + 1.16053i 0.0578821 + 0.100255i
\(135\) −6.67934 + 13.4426i −0.574866 + 1.15695i
\(136\) 6.71444 + 1.79913i 0.575759 + 0.154274i
\(137\) −1.74850 0.468509i −0.149384 0.0400274i 0.183352 0.983047i \(-0.441305\pi\)
−0.332736 + 0.943020i \(0.607972\pi\)
\(138\) −4.93499 12.7280i −0.420094 1.08348i
\(139\) 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
\(141\) −0.796182 + 5.13870i −0.0670506 + 0.432757i
\(142\) 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
\(147\) 1.72194 0.186842i 0.142024 0.0154104i
\(148\) −4.21324 + 4.21324i −0.346327 + 0.346327i
\(149\) 5.03455 18.7892i 0.412446 1.53927i −0.377451 0.926030i \(-0.623199\pi\)
0.789897 0.613240i \(-0.210134\pi\)
\(150\) −4.51487 3.63099i −0.368637 0.296469i
\(151\) 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
\(153\) 20.3686 4.47290i 1.64670 0.361612i
\(154\) 1.66610 0.446430i 0.134258 0.0359743i
\(155\) 23.1326 1.85805
\(156\) −5.22929 + 3.41387i −0.418678 + 0.273328i
\(157\) 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
\(159\) 1.29974 + 1.77635i 0.103076 + 0.140873i
\(160\) 2.50176 1.44439i 0.197781 0.114189i
\(161\) −5.57307 5.57307i −0.439220 0.439220i
\(162\) −8.44486 3.11198i −0.663491 0.244500i
\(163\) −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
\(165\) 0.930990 + 8.58006i 0.0724774 + 0.667957i
\(166\) 12.4355 + 7.17962i 0.965179 + 0.557246i
\(167\) 1.88138 + 7.02139i 0.145585 + 0.543331i 0.999729 + 0.0232939i \(0.00741536\pi\)
−0.854143 + 0.520037i \(0.825918\pi\)
\(168\) −1.58467 0.699162i −0.122260 0.0539415i
\(169\) 5.26487 + 11.8862i 0.404990 + 0.914321i
\(170\) 20.0808i 1.54013i
\(171\) −9.69495 + 15.1511i −0.741391 + 1.15863i
\(172\) 5.73925 9.94067i 0.437614 0.757969i
\(173\) 7.09523 + 12.2893i 0.539440 + 0.934338i 0.998934 + 0.0461571i \(0.0146975\pi\)
−0.459494 + 0.888181i \(0.651969\pi\)
\(174\) −4.94118 + 1.91584i −0.374590 + 0.145239i
\(175\) −3.23107 0.865763i −0.244246 0.0654455i
\(176\) −1.66610 0.446430i −0.125587 0.0336509i
\(177\) −4.26089 + 1.65207i −0.320268 + 0.124177i
\(178\) −1.65706 2.87011i −0.124202 0.215124i
\(179\) −2.69411 + 4.66633i −0.201367 + 0.348778i −0.948969 0.315369i \(-0.897872\pi\)
0.747602 + 0.664147i \(0.231205\pi\)
\(180\) 4.67103 7.29979i 0.348158 0.544094i
\(181\) 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
\(186\) 1.49618 + 13.7889i 0.109705 + 1.01105i
\(187\) 8.47829 8.47829i 0.619994 0.619994i
\(188\) 0.777035 2.89993i 0.0566711 0.211499i
\(189\) −5.18602 + 0.324292i −0.377228 + 0.0235888i
\(190\) −12.2475 12.2475i −0.888527 0.888527i
\(191\) 0.744908 0.430073i 0.0538996 0.0311190i −0.472808 0.881165i \(-0.656760\pi\)
0.526708 + 0.850046i \(0.323426\pi\)
\(192\) 1.02278 + 1.39783i 0.0738129 + 0.100879i
\(193\) 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
\(195\) −13.4357 12.0391i −0.962149 0.862137i
\(196\) −1.00000 −0.0714286
\(197\) 12.9669 3.47446i 0.923852 0.247545i 0.234621 0.972087i \(-0.424615\pi\)
0.689231 + 0.724542i \(0.257949\pi\)
\(198\) −5.05419 + 1.10989i −0.359185 + 0.0788763i
\(199\) −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
\(201\) −1.80871 1.45462i −0.127577 0.102601i
\(202\) 1.61254 6.01810i 0.113458 0.423432i
\(203\) −2.16355 + 2.16355i −0.151851 + 0.151851i
\(204\) −11.9698 + 1.29879i −0.838050 + 0.0909337i
\(205\) −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
\(210\) 0.766095 4.94452i 0.0528656 0.341204i
\(211\) −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
\(213\) 6.94296 + 17.9068i 0.475724 + 1.22695i
\(214\) −14.9285 4.00009i −1.02049 0.273441i
\(215\) 32.0290 + 8.58214i 2.18436 + 0.585297i
\(216\) 4.65337 + 2.31217i 0.316622 + 0.157323i
\(217\) 4.00386 + 6.93490i 0.271800 + 0.470771i
\(218\) 4.24371 7.35032i 0.287420 0.497826i
\(219\) 16.0954 + 2.49380i 1.08763 + 0.168515i
\(220\) 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
\(225\) 9.56465 + 3.03676i 0.637643 + 0.202451i
\(226\) 7.45082 7.45082i 0.495621 0.495621i
\(227\) −3.35272 + 12.5125i −0.222528 + 0.830484i 0.760852 + 0.648925i \(0.224781\pi\)
−0.983380 + 0.181559i \(0.941886\pi\)
\(228\) 6.50834 8.09263i 0.431025 0.535948i
\(229\) −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
\(231\) −2.41107 + 1.76417i −0.158637 + 0.116074i
\(232\) 2.95546 0.791914i 0.194036 0.0519917i
\(233\) −17.7198 −1.16086 −0.580430 0.814310i \(-0.697115\pi\)
−0.580430 + 0.814310i \(0.697115\pi\)
\(234\) 6.30726 8.78741i 0.412318 0.574451i
\(235\) 8.67279 0.565750
\(236\) 2.54856 0.682885i 0.165897 0.0444521i
\(237\) 11.7496 8.59714i 0.763221 0.558445i
\(238\) −6.02001 + 3.47565i −0.390219 + 0.225293i
\(239\) −3.93333 3.93333i −0.254426 0.254426i 0.568357 0.822782i \(-0.307579\pi\)
−0.822782 + 0.568357i \(0.807579\pi\)
\(240\) −3.13572 + 3.89903i −0.202410 + 0.251681i
\(241\) 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
\(243\) 15.5863 0.262154i 0.999859 0.0168172i
\(244\) −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
\(249\) −24.5777 3.80802i −1.55755 0.241324i
\(250\) 2.39039 4.14028i 0.151182 0.261854i
\(251\) 1.15656 + 2.00322i 0.0730013 + 0.126442i 0.900215 0.435445i \(-0.143409\pi\)
−0.827214 + 0.561887i \(0.810076\pi\)
\(252\) 2.99688 + 0.136851i 0.188786 + 0.00862078i
\(253\) 13.1314 + 3.51854i 0.825563 + 0.221209i
\(254\) −20.2131 5.41609i −1.26828 0.339836i
\(255\) −12.5735 32.4287i −0.787385 2.03076i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 4.19256 7.26172i 0.261525 0.452974i −0.705123 0.709085i \(-0.749108\pi\)
0.966647 + 0.256112i \(0.0824414\pi\)
\(258\) −3.04406 + 19.6469i −0.189515 + 1.22316i
\(259\) 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 0.543872 0.839168i \(-0.316958\pi\)
−0.454805 + 0.890591i \(0.650291\pi\)
\(264\) 2.97013 0.322278i 0.182799 0.0198348i
\(265\) 2.59581 2.59581i 0.159460 0.159460i
\(266\) 1.55183 5.79151i 0.0951488 0.355100i
\(267\) 4.47311 + 3.59741i 0.273750 + 0.220158i
\(268\) 0.947571 + 0.947571i 0.0578821 + 0.0578821i
\(269\) −17.3350 + 10.0084i −1.05693 + 0.610222i −0.924583 0.380981i \(-0.875586\pi\)
−0.132352 + 0.991203i \(0.542253\pi\)
\(270\) −2.97255 + 14.7133i −0.180904 + 0.895421i
\(271\) 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
\(273\) 1.28370 6.11164i 0.0776928 0.369893i
\(274\) −1.81018 −0.109357
\(275\) 5.57319 1.49333i 0.336076 0.0900512i
\(276\) −8.06107 11.0170i −0.485219 0.663145i
\(277\) 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
\(279\) −11.0500 21.3310i −0.661549 1.27705i
\(280\) −0.747671 + 2.79035i −0.0446819 + 0.166755i
\(281\) −11.4207 + 11.4207i −0.681299 + 0.681299i −0.960293 0.278994i \(-0.909999\pi\)
0.278994 + 0.960293i \(0.409999\pi\)
\(282\) 0.560942 + 5.16967i 0.0334036 + 0.307850i
\(283\) 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
\(288\) −2.52695 1.61695i −0.148902 0.0952800i
\(289\) −15.6603 + 27.1245i −0.921195 + 1.59556i
\(290\) 4.41943 + 7.65468i 0.259518 + 0.449498i
\(291\) 13.4356 5.20934i 0.787606 0.305377i
\(292\) −9.08317 2.43383i −0.531552 0.142429i
\(293\) −14.2375 3.81492i −0.831763 0.222870i −0.182280 0.983247i \(-0.558348\pi\)
−0.649483 + 0.760376i \(0.725015\pi\)
\(294\) 1.61491 0.626147i 0.0941836 0.0365176i
\(295\) 3.81098 + 6.60080i 0.221884 + 0.384314i
\(296\) −2.97921 + 5.16015i −0.173163 + 0.299928i
\(297\) 7.46711 4.95703i 0.433286 0.287636i
\(298\) 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
\(303\) 1.16410 + 10.7284i 0.0668756 + 0.616330i
\(304\) −4.23968 + 4.23968i −0.243162 + 0.243162i
\(305\) 3.84905 14.3649i 0.220396 0.822529i
\(306\) 18.5169 9.59226i 1.05854 0.548353i
\(307\) 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
\(309\) 15.2294 + 20.8139i 0.866372 + 1.18406i
\(310\) 22.3443 5.98715i 1.26907 0.340047i
\(311\) 13.1987 0.748432 0.374216 0.927342i \(-0.377912\pi\)
0.374216 + 0.927342i \(0.377912\pi\)
\(312\) −4.16753 + 4.65099i −0.235940 + 0.263310i
\(313\) −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
\(315\) 1.85882 + 8.46465i 0.104733 + 0.476929i
\(316\) −7.27951 + 4.20283i −0.409504 + 0.236427i
\(317\) −4.57322 4.57322i −0.256858 0.256858i 0.566917 0.823775i \(-0.308136\pi\)
−0.823775 + 0.566917i \(0.808136\pi\)
\(318\) 1.71521 + 1.37942i 0.0961840 + 0.0773540i
\(319\) 1.36595 5.09780i 0.0764786 0.285422i
\(320\) 2.04268 2.04268i 0.114189 0.114189i
\(321\) 26.6129 2.88767i 1.48539 0.161174i
\(322\) −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
\(327\) −2.25083 + 14.5273i −0.124471 + 0.803361i
\(328\) −1.57882 + 2.73460i −0.0871760 + 0.150993i
\(329\) 1.50112 + 2.60001i 0.0827592 + 0.143343i
\(330\) 3.11995 + 8.04674i 0.171748 + 0.442959i
\(331\) 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
\(333\) −0.815414 + 17.8567i −0.0446844 + 0.978540i
\(334\) 3.63454 + 6.29521i 0.198873 + 0.344458i
\(335\) −1.93558 + 3.35253i −0.105752 + 0.183168i
\(336\) −1.71163 0.265197i −0.0933770 0.0144677i
\(337\) 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
\(342\) −5.44321 + 17.1441i −0.294335 + 0.927045i
\(343\) 0.707107 0.707107i 0.0381802 0.0381802i
\(344\) 2.97085 11.0874i 0.160178 0.597791i
\(345\) 24.7142 30.7303i 1.33057 1.65446i
\(346\) 10.0342 + 10.0342i 0.539440 + 0.539440i
\(347\) −10.5525 + 6.09249i −0.566488 + 0.327062i −0.755745 0.654865i \(-0.772725\pi\)
0.189257 + 0.981928i \(0.439392\pi\)
\(348\) −4.27696 + 3.12943i −0.229269 + 0.167755i
\(349\) −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
\(351\) −4.68346 + 18.1402i −0.249985 + 0.968250i
\(352\) −1.72487 −0.0919360
\(353\) −8.58425 + 2.30014i −0.456894 + 0.122424i −0.479923 0.877310i \(-0.659335\pi\)
0.0230296 + 0.999735i \(0.492669\pi\)
\(354\) −3.68812 + 2.69857i −0.196021 + 0.143428i
\(355\) 27.7405 16.0160i 1.47231 0.850039i
\(356\) −2.34343 2.34343i −0.124202 0.124202i
\(357\) 7.54551 9.38228i 0.399351 0.496563i
\(358\) −1.39457 + 5.20462i −0.0737055 + 0.275073i
\(359\) −13.6176 + 13.6176i −0.718709 + 0.718709i −0.968341 0.249632i \(-0.919690\pi\)
0.249632 + 0.968341i \(0.419690\pi\)
\(360\) 2.62254 8.26001i 0.138220 0.435341i
\(361\) 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
\(366\) 8.81155 + 1.36525i 0.460587 + 0.0713626i
\(367\) −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
\(369\) −0.432126 + 9.46308i −0.0224956 + 0.492628i
\(370\) −16.6261 4.45494i −0.864349 0.231602i
\(371\) 1.22749 + 0.328905i 0.0637281 + 0.0170759i
\(372\) 5.01401 + 12.9318i 0.259965 + 0.670481i
\(373\) 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
\(375\) −1.26785 + 8.18292i −0.0654714 + 0.422564i
\(376\) 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
\(381\) 36.0337 3.90988i 1.84606 0.200309i
\(382\) 0.608215 0.608215i 0.0311190 0.0311190i
\(383\) −6.84818 + 25.5578i −0.349926 + 1.30594i 0.536826 + 0.843693i \(0.319623\pi\)
−0.886751 + 0.462247i \(0.847043\pi\)
\(384\) 1.34972 + 1.08548i 0.0688774 + 0.0553932i
\(385\) 3.52335 + 3.52335i 0.179567 + 0.179567i
\(386\) 1.60134 0.924534i 0.0815060 0.0470575i
\(387\) −7.38597 33.6341i −0.375450 1.70972i
\(388\) −8.03620 + 2.15329i −0.407976 + 0.109317i
\(389\) 15.4625 0.783981 0.391990 0.919969i \(-0.371787\pi\)
0.391990 + 0.919969i \(0.371787\pi\)
\(390\) −16.0938 8.15145i −0.814942 0.412765i
\(391\) −54.7868 −2.77069
\(392\) −0.965926 + 0.258819i −0.0487866 + 0.0130723i
\(393\) −7.36177 10.0613i −0.371352 0.507524i
\(394\) 11.6258 6.71215i 0.585698 0.338153i
\(395\) −17.1700 17.1700i −0.863918 0.863918i
\(396\) −4.59471 + 2.38019i −0.230893 + 0.119609i
\(397\) −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
\(399\) 1.12027 + 10.3244i 0.0560835 + 0.516869i
\(400\) 2.89690 + 1.67253i 0.144845 + 0.0836263i
\(401\) 2.88110 + 10.7524i 0.143875 + 0.536949i 0.999803 + 0.0198538i \(0.00632007\pi\)
−0.855928 + 0.517095i \(0.827013\pi\)
\(402\) −2.12356 0.936925i −0.105914 0.0467296i
\(403\) 28.2471 5.97589i 1.40709 0.297680i
\(404\) 6.23039i 0.309974i
\(405\) −4.41226 25.6219i −0.219247 1.27316i
\(406\) −1.52986 + 2.64980i −0.0759257 + 0.131507i
\(407\) 5.13876 + 8.90060i 0.254719 + 0.441186i
\(408\) −11.2257 + 4.35254i −0.555757 + 0.215483i
\(409\) −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
\(411\) 2.92328 1.13344i 0.144195 0.0559084i
\(412\) −7.44511 12.8953i −0.366794 0.635306i
\(413\) −1.31923 + 2.28498i −0.0649152 + 0.112436i
\(414\) 19.9162 + 12.7441i 0.978826 + 0.626336i
\(415\) 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 0.0554894 0.998459i \(-0.482328\pi\)
−0.836946 + 0.547285i \(0.815661\pi\)
\(420\) −0.539744 4.97432i −0.0263368 0.242722i
\(421\) 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
\(423\) −4.14285 7.99734i −0.201432 0.388844i
\(424\) −0.898585 0.898585i −0.0436391 0.0436391i
\(425\) −20.1372 + 11.6262i −0.976799 + 0.563955i
\(426\) 11.3410 + 15.4996i 0.549473 + 0.750960i
\(427\) 4.97264 1.33241i 0.240643 0.0644800i
\(428\) −15.4552 −0.747053
\(429\) 3.35333 + 10.2366i 0.161901 + 0.494226i
\(430\) 33.1589 1.59906
\(431\) −9.63530 + 2.58177i −0.464116 + 0.124360i −0.483297 0.875456i \(-0.660561\pi\)
0.0191808 + 0.999816i \(0.493894\pi\)
\(432\) 5.09325 + 1.02900i 0.245049 + 0.0495078i
\(433\) 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
\(435\) −11.9300 9.59442i −0.571997 0.460017i
\(436\) 2.19670 8.19821i 0.105203 0.392623i
\(437\) 33.4151 33.4151i 1.59846 1.59846i
\(438\) 16.1924 1.75698i 0.773705 0.0839518i
\(439\) 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 \(0.0409812\pi\)
−0.991724 + 0.128391i \(0.959019\pi\)
\(444\) 1.58016 10.1986i 0.0749909 0.484005i
\(445\) 4.78687 8.29111i 0.226919 0.393036i
\(446\) −7.95248 13.7741i −0.376561 0.652222i
\(447\) 12.1798 + 31.4133i 0.576085 + 1.48580i
\(448\) 0.965926 + 0.258819i 0.0456357 + 0.0122281i
\(449\) 16.3882 + 4.39121i 0.773407 + 0.207234i 0.623876 0.781523i \(-0.285557\pi\)
0.149531 + 0.988757i \(0.452224\pi\)
\(450\) 10.0247 + 0.457772i 0.472569 + 0.0215796i
\(451\) 2.72327 + 4.71684i 0.128234 + 0.222107i
\(452\) 5.26853 9.12535i 0.247811 0.429221i
\(453\) −12.1512 1.88269i −0.570915 0.0884566i
\(454\) 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
\(459\) −23.8969 + 27.0849i −1.11541 + 1.26422i
\(460\) −16.0994 + 16.0994i −0.750638 + 0.750638i
\(461\) 5.91669 22.0814i 0.275568 1.02843i −0.679892 0.733312i \(-0.737973\pi\)
0.955460 0.295121i \(-0.0953600\pi\)
\(462\) −1.87232 + 2.32809i −0.0871080 + 0.108312i
\(463\) −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
\(465\) −32.3353 + 23.6596i −1.49951 + 1.09719i
\(466\) −17.1160 + 4.58621i −0.792882 + 0.212452i
\(467\) −11.2748 −0.521735 −0.260868 0.965375i \(-0.584009\pi\)
−0.260868 + 0.965375i \(0.584009\pi\)
\(468\) 3.81800 10.1204i 0.176487 0.467817i
\(469\) −1.34007 −0.0618786
\(470\) 8.37727 2.24468i 0.386415 0.103539i
\(471\) −10.5275 + 7.70288i −0.485080 + 0.354930i
\(472\) 2.28498 1.31923i 0.105175 0.0607226i
\(473\) −14.0000 14.0000i −0.643719 0.643719i
\(474\) 9.12418 11.3452i 0.419087 0.521104i
\(475\) 5.19095 19.3729i 0.238177 0.888889i
\(476\) −4.91531 + 4.91531i −0.225293 + 0.225293i
\(477\) −3.63363 1.15367i −0.166372 0.0528229i
\(478\) −4.81732 2.78128i −0.220339 0.127213i
\(479\) −0.236062 0.880996i −0.0107860 0.0402538i 0.960323 0.278890i \(-0.0899664\pi\)
−0.971109 + 0.238636i \(0.923300\pi\)
\(480\) −2.01973 + 4.57776i −0.0921875 + 0.208945i
\(481\) −20.4256 6.65826i −0.931327 0.303591i
\(482\) 8.80969i 0.401270i
\(483\) 13.4902 + 2.09015i 0.613826 + 0.0951052i
\(484\) 4.01241 6.94970i 0.182382 0.315895i
\(485\) −12.0169 20.8138i −0.545658 0.945107i
\(486\) 14.9873 4.28724i 0.679838 0.194473i
\(487\) −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
\(489\) −0.962221 2.48169i −0.0435131 0.112226i
\(490\) −1.44439 2.50176i −0.0652509 0.113018i
\(491\) 16.7764 29.0576i 0.757109 1.31135i −0.187209 0.982320i \(-0.559944\pi\)
0.944319 0.329032i \(-0.106722\pi\)
\(492\) 0.837398 5.40472i 0.0377528 0.243664i
\(493\) 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
\(498\) −24.7258 + 2.68290i −1.10799 + 0.120224i
\(499\) 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
\(501\) −9.81118 7.89045i −0.438331 0.352519i
\(502\) 1.63562 + 1.63562i 0.0730013 + 0.0730013i
\(503\) −34.3630 + 19.8395i −1.53217 + 0.884599i −0.532909 + 0.846173i \(0.678901\pi\)
−0.999261 + 0.0384265i \(0.987765\pi\)
\(504\) 2.93018 0.643461i 0.130521 0.0286620i
\(505\) 17.3850 4.65829i 0.773621 0.207291i
\(506\) 13.5946 0.604354
\(507\) −19.5163 11.2300i −0.866751 0.498742i
\(508\) −20.9262 −0.928448
\(509\) 7.78615 2.08629i 0.345115 0.0924733i −0.0820981 0.996624i \(-0.526162\pi\)
0.427213 + 0.904151i \(0.359495\pi\)
\(510\) −20.5383 28.0695i −0.909449 1.24294i
\(511\) 8.14374 4.70179i 0.360258 0.207995i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) −1.94439 31.0944i −0.0858471 1.37285i
\(514\) 2.17023 8.09940i 0.0957246 0.357249i
\(515\) 30.4159 30.4159i 1.34028 1.34028i
\(516\) 2.14466 + 19.7653i 0.0944134 + 0.870120i
\(517\) −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 \(0.102348\pi\)
−0.948751 + 0.316024i \(0.897652\pi\)
\(522\) 4.94743 7.73175i 0.216543 0.338410i
\(523\) −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
\(525\) 5.40196 2.09449i 0.235761 0.0914112i
\(526\) 1.61104 + 0.431678i 0.0702448 + 0.0188220i
\(527\) 53.7674 + 14.4069i 2.34215 + 0.627576i
\(528\) 2.78552 1.08002i 0.121224 0.0470020i
\(529\) −19.5591 33.8774i −0.850398 1.47293i
\(530\) 1.83552 3.17921i 0.0797298 0.138096i
\(531\) 4.26628 6.66726i 0.185141 0.289335i
\(532\) 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
\(537\) −1.00674 9.27821i −0.0434442 0.400384i
\(538\) −14.1540 + 14.1540i −0.610222 + 0.610222i
\(539\) −0.446430 + 1.66610i −0.0192291 + 0.0717639i
\(540\) 0.936809 + 14.9813i 0.0403138 + 0.644692i
\(541\) −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
\(543\) −14.5566 19.8943i −0.624682 0.853747i
\(544\) 6.71444 1.79913i 0.287879 0.0771371i
\(545\) 24.5183 1.05025
\(546\) −0.341854 6.23563i −0.0146300 0.266861i
\(547\) 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
\(549\) −15.0847 + 3.31257i −0.643800 + 0.141377i
\(550\) 4.99678 2.88489i 0.213063 0.123012i
\(551\) −12.9722 12.9722i −0.552636 0.552636i
\(552\) −10.6378 8.55524i −0.452775 0.364135i
\(553\) 2.17554 8.11924i 0.0925135 0.345265i
\(554\) 5.64427 5.64427i 0.239802 0.239802i
\(555\) 29.6391 3.21603i 1.25811 0.136513i
\(556\) 13.6697 + 7.89222i 0.579725 + 0.334705i
\(557\) 5.57264 + 20.7974i 0.236120 + 0.881213i 0.977641 + 0.210283i \(0.0674385\pi\)
−0.741520 + 0.670931i \(0.765895\pi\)
\(558\) −16.1944 17.7442i −0.685563 0.751170i
\(559\) 41.3275 + 2.20549i 1.74797 + 0.0932823i
\(560\) 2.88878i 0.122073i
\(561\) −3.17974 + 20.5226i −0.134249 + 0.866465i
\(562\) −8.07562 + 13.9874i −0.340650 + 0.590022i
\(563\) 12.5256 + 21.6950i 0.527891 + 0.914333i 0.999471 + 0.0325105i \(0.0103502\pi\)
−0.471581 + 0.881823i \(0.656316\pi\)
\(564\) 1.87984 + 4.84834i 0.0791555 + 0.204152i
\(565\) 29.4020 + 7.87825i 1.23695 + 0.331441i
\(566\) 7.96416 + 2.13399i 0.334759 + 0.0896983i
\(567\) 6.91748 5.75747i 0.290507 0.241791i
\(568\) −5.54420 9.60283i −0.232629 0.402926i
\(569\) −11.3432 + 19.6469i −0.475530 + 0.823642i −0.999607 0.0280285i \(-0.991077\pi\)
0.524077 + 0.851671i \(0.324410\pi\)
\(570\) 29.6464 + 4.59336i 1.24175 + 0.192395i
\(571\) 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
\(576\) −2.85934 0.907836i −0.119139 0.0378265i
\(577\) 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
\(579\) −2.00713 + 2.49571i −0.0834134 + 0.103718i
\(580\) 6.25002 + 6.25002i 0.259518 + 0.259518i
\(581\) −12.4355 + 7.17962i −0.515910 + 0.297861i
\(582\) 11.6295 8.50922i 0.482057 0.352718i
\(583\) −2.11726 + 0.567319i −0.0876881 + 0.0234959i
\(584\) −9.40359 −0.389123
\(585\) 31.0941 + 3.08679i 1.28558 + 0.127623i
\(586\) −14.7397 −0.608893
\(587\) −6.00016 + 1.60774i −0.247653 + 0.0663585i −0.380510 0.924777i \(-0.624252\pi\)
0.132857 + 0.991135i \(0.457585\pi\)
\(588\) 1.39783 1.02278i 0.0576454 0.0421788i
\(589\) −41.5803 + 24.0064i −1.71329 + 0.989167i
\(590\) 5.38953 + 5.38953i 0.221884 + 0.221884i
\(591\) −14.5718 + 18.1190i −0.599405 + 0.745315i
\(592\) −1.54215 + 5.75540i −0.0633822 + 0.236545i
\(593\) 30.4769 30.4769i 1.25154 1.25154i 0.296504 0.955032i \(-0.404179\pi\)
0.955032 0.296504i \(-0.0958208\pi\)
\(594\) 5.92970 6.72076i 0.243299 0.275756i
\(595\) −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 \(-0.888349\pi\)
0.939111 0.343614i \(-0.111651\pi\)
\(600\) −5.72548 0.887097i −0.233742 0.0362156i
\(601\) −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
\(603\) 4.01602 + 0.183389i 0.163545 + 0.00746818i
\(604\) 6.85732 + 1.83741i 0.279021 + 0.0747633i
\(605\) 22.3920 + 5.99993i 0.910365 + 0.243932i
\(606\) 3.90114 + 10.0615i 0.158473 + 0.408722i
\(607\) −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
\(609\) 0.811428 5.23711i 0.0328807 0.212218i
\(610\) 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
\(615\) 15.7071 1.70432i 0.633373 0.0687249i
\(616\) 1.21967 1.21967i 0.0491418 0.0491418i
\(617\) −3.63391 + 13.5620i −0.146296 + 0.545984i 0.853398 + 0.521259i \(0.174538\pi\)
−0.999694 + 0.0247245i \(0.992129\pi\)
\(618\) 20.0975 + 16.1630i 0.808442 + 0.650173i
\(619\) −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
\(621\) −40.1425 8.11007i −1.61086 0.325446i
\(622\) 12.7490 3.41609i 0.511188 0.136973i
\(623\) 3.31411 0.132777
\(624\) −2.82176 + 5.57114i −0.112961 + 0.223024i
\(625\) 30.5359 1.22144
\(626\) −18.5818 + 4.97899i −0.742679 + 0.199000i
\(627\) −10.5776 14.4563i −0.422429 0.577330i
\(628\) 6.52231 3.76566i 0.260268 0.150266i
\(629\) −29.2875 29.2875i −1.16777 1.16777i
\(630\) 3.98629 + 7.69512i 0.158818 + 0.306581i
\(631\) −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
\(633\) −0.546632 5.03779i −0.0217267 0.200234i
\(634\) −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
\(639\) −28.0198 17.9294i −1.10844 0.709277i
\(640\) 1.44439 2.50176i 0.0570945 0.0988906i
\(641\) −6.54052 11.3285i −0.258335 0.447449i 0.707461 0.706752i \(-0.249841\pi\)
−0.965796 + 0.259303i \(0.916507\pi\)
\(642\) 24.9587 9.67720i 0.985042 0.381929i
\(643\) 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
\(645\) −53.5486 + 20.7623i −2.10848 + 0.817515i
\(646\) −20.8393 36.0948i −0.819913 1.42013i
\(647\) −14.4953 + 25.1065i −0.569868 + 0.987040i 0.426711 + 0.904388i \(0.359672\pi\)
−0.996578 + 0.0826520i \(0.973661\pi\)
\(648\) −8.86945 + 1.52738i −0.348425 + 0.0600011i
\(649\) 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 −0.353358 0.935488i \(-0.614960\pi\)
−0.986835 + 0.161728i \(0.948293\pi\)
\(654\) 1.58580 + 14.6149i 0.0620098 + 0.571486i
\(655\) −14.7028 + 14.7028i −0.574484 + 0.574484i
\(656\) −0.817259 + 3.05005i −0.0319086 + 0.119085i
\(657\) −25.0492 + 12.9762i −0.977264 + 0.506250i
\(658\) 2.12290 + 2.12290i 0.0827592 + 0.0827592i
\(659\) −43.6509 + 25.2019i −1.70040 + 0.981726i −0.755050 + 0.655667i \(0.772387\pi\)
−0.945350 + 0.326059i \(0.894279\pi\)
\(660\) 5.09629 + 6.96506i 0.198373 + 0.271114i
\(661\) −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
\(663\) −23.7309 36.3504i −0.921630 1.41173i
\(664\) 14.3592 0.557246
\(665\) 16.7304 4.48289i 0.648777 0.173839i
\(666\) 3.83402 + 17.4593i 0.148565 + 0.676533i
\(667\) −20.8844 + 12.0576i −0.808648 + 0.466873i
\(668\) 5.14001 + 5.14001i 0.198873 + 0.198873i
\(669\) 21.4672 + 17.2645i 0.829968 + 0.667485i
\(670\) −1.00193 + 3.73926i −0.0387080 + 0.144460i
\(671\) −6.27892 + 6.27892i −0.242395 + 0.242395i
\(672\) −1.72194 + 0.186842i −0.0664254 + 0.00720757i
\(673\) −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 \(0.317671\pi\)
−0.541991 + 0.840384i \(0.682329\pi\)
\(678\) −2.79439 + 18.0355i −0.107318 + 0.692650i
\(679\) 4.15984 7.20506i 0.159640 0.276505i
\(680\) 10.0404 + 17.3905i 0.385032 + 0.666894i
\(681\) −8.11104 20.9194i −0.310816 0.801633i
\(682\) −13.3417 3.57489i −0.510879 0.136890i
\(683\) 4.92584 + 1.31987i 0.188482 + 0.0505036i 0.351825 0.936066i \(-0.385561\pi\)
−0.163343 + 0.986569i \(0.552228\pi\)
\(684\) −0.820530 + 17.9687i −0.0313737 + 0.687050i
\(685\) −2.61461 4.52863i −0.0998990 0.173030i
\(686\) 0.500000 0.866025i 0.0190901 0.0330650i
\(687\) 23.5969 + 3.65607i 0.900278 + 0.139488i
\(688\) 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
\(693\) 1.56590 4.93200i 0.0594837 0.187351i
\(694\) −8.61608 + 8.61608i −0.327062 + 0.327062i
\(695\) −11.8016 + 44.0441i −0.447659 + 1.67069i
\(696\) −3.32127 + 4.12975i −0.125892 + 0.156538i
\(697\) −15.5208 15.5208i −0.587893 0.587893i
\(698\) −25.1542 + 14.5228i −0.952099 + 0.549695i
\(699\) 24.7691 18.1234i 0.936855 0.685491i
\(700\) −3.23107 + 0.865763i −0.122123 + 0.0327228i
\(701\) 24.6775 0.932055 0.466027 0.884770i \(-0.345685\pi\)
0.466027 + 0.884770i \(0.345685\pi\)
\(702\) 0.171143 + 18.7342i 0.00645939 + 0.707077i
\(703\) 35.7256 1.34742
\(704\) −1.66610 + 0.446430i −0.0627934 + 0.0168255i
\(705\) −12.1231 + 8.87037i −0.456581 + 0.334077i
\(706\) −7.69643 + 4.44354i −0.289659 + 0.167235i
\(707\) 4.40555 + 4.40555i 0.165688 + 0.165688i
\(708\) −2.86401 + 3.56118i −0.107636 + 0.133837i
\(709\) −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
\(711\) −7.63096 + 24.0346i −0.286183 + 0.901369i
\(712\) −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
\(717\) 9.52105 + 1.47517i 0.355570 + 0.0550914i
\(718\) −9.62909 + 16.6781i −0.359355 + 0.622420i
\(719\) −4.85123 8.40257i −0.180920 0.313363i 0.761274 0.648430i \(-0.224574\pi\)
−0.942194 + 0.335067i \(0.891241\pi\)
\(720\) 0.395331 8.65732i 0.0147331 0.322639i
\(721\) 14.3828 + 3.85387i 0.535645 + 0.143526i
\(722\) 16.3722 + 4.38691i 0.609309 + 0.163264i
\(723\) 5.51616 + 14.2269i 0.205148 + 0.529103i
\(724\) 7.11616 + 12.3256i 0.264470 + 0.458076i
\(725\) −5.11747 + 8.86371i −0.190058 + 0.329190i
\(726\) −2.12816 + 13.7355i −0.0789832 + 0.509772i
\(727\) 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
\(732\) 8.86466 0.961870i 0.327647 0.0355517i
\(733\) −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
\(735\) 3.89903 + 3.13572i 0.143818 + 0.115663i
\(736\) 5.57307 + 5.57307i 0.205426 + 0.205426i
\(737\) 2.00177 1.15572i 0.0737362 0.0425716i
\(738\) 2.03182 + 9.25248i 0.0747925 + 0.340588i
\(739\) 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
\(741\) 36.6442 + 7.69679i 1.34616 + 0.282749i
\(742\) 1.27079 0.0466522
\(743\) 34.2598 9.17990i 1.25687 0.336778i 0.431884 0.901929i \(-0.357849\pi\)
0.824987 + 0.565151i \(0.191182\pi\)
\(744\) 8.19016 + 11.1934i 0.300266 + 0.410370i
\(745\) 48.6642 28.0963i 1.78292 1.02937i
\(746\) 10.8395 + 10.8395i 0.396863 + 0.396863i
\(747\) 38.2501 19.8146i 1.39950 0.724979i
\(748\) 3.10327 11.5816i 0.113467 0.423464i
\(749\) 10.9284 10.9284i 0.399317 0.399317i
\(750\) 0.893249 + 8.23224i 0.0326168 + 0.300599i
\(751\) −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
\(756\) −4.32908 + 2.87386i −0.157447 + 0.104521i
\(757\) −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
\(759\) −21.9541 + 8.51222i −0.796883 + 0.308974i
\(760\) −16.7304 4.48289i −0.606875 0.162612i
\(761\) −46.9700 12.5856i −1.70266 0.456227i −0.729055 0.684455i \(-0.760040\pi\)
−0.973608 + 0.228229i \(0.926707\pi\)
\(762\) 33.7939 13.1028i 1.22422 0.474666i
\(763\) 4.24371 + 7.35032i 0.153633 + 0.266099i
\(764\) 0.430073 0.744908i 0.0155595 0.0269498i
\(765\) 50.7431 + 32.4697i 1.83462 + 1.17395i
\(766\) 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
\(771\) 1.56669 + 14.4387i 0.0564229 + 0.519997i
\(772\) 1.30749 1.30749i 0.0470575 0.0470575i
\(773\) 11.4518 42.7389i 0.411894 1.53721i −0.379082 0.925363i \(-0.623760\pi\)
0.790976 0.611847i \(-0.209573\pi\)
\(774\) −15.8394 30.5764i