Properties

Label 150.2.l.a.137.7
Level $150$
Weight $2$
Character 150.137
Analytic conductor $1.198$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 150 = 2 \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 150.l (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.19775603032\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(10\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 137.7
Character \(\chi\) \(=\) 150.137
Dual form 150.2.l.a.23.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.987688 - 0.156434i) q^{2} +(-0.428879 + 1.67811i) q^{3} +(0.951057 - 0.309017i) q^{4} +(0.334535 - 2.21090i) q^{5} +(-0.161084 + 1.72454i) q^{6} +(2.78015 + 2.78015i) q^{7} +(0.891007 - 0.453990i) q^{8} +(-2.63213 - 1.43942i) q^{9} +O(q^{10})\) \(q+(0.987688 - 0.156434i) q^{2} +(-0.428879 + 1.67811i) q^{3} +(0.951057 - 0.309017i) q^{4} +(0.334535 - 2.21090i) q^{5} +(-0.161084 + 1.72454i) q^{6} +(2.78015 + 2.78015i) q^{7} +(0.891007 - 0.453990i) q^{8} +(-2.63213 - 1.43942i) q^{9} +(-0.0154450 - 2.23601i) q^{10} +(-2.08133 + 2.86470i) q^{11} +(0.110677 + 1.72851i) q^{12} +(0.331962 - 2.09592i) q^{13} +(3.18083 + 2.31101i) q^{14} +(3.56667 + 1.50960i) q^{15} +(0.809017 - 0.587785i) q^{16} +(-0.476073 - 0.934346i) q^{17} +(-2.82489 - 1.00994i) q^{18} +(-4.71987 - 1.53358i) q^{19} +(-0.365045 - 2.20607i) q^{20} +(-5.85775 + 3.47305i) q^{21} +(-1.60756 + 3.15502i) q^{22} +(-1.22065 - 7.70688i) q^{23} +(0.379713 + 1.68992i) q^{24} +(-4.77617 - 1.47925i) q^{25} -2.12205i q^{26} +(3.54437 - 3.79967i) q^{27} +(3.50319 + 1.78496i) q^{28} +(0.858514 + 2.64223i) q^{29} +(3.75891 + 0.933062i) q^{30} +(0.458925 - 1.41243i) q^{31} +(0.707107 - 0.707107i) q^{32} +(-3.91465 - 4.72131i) q^{33} +(-0.616376 - 0.848368i) q^{34} +(7.07669 - 5.21658i) q^{35} +(-2.94810 - 0.555594i) q^{36} +(-1.07161 - 0.169727i) q^{37} +(-4.90167 - 0.776348i) q^{38} +(3.37482 + 1.45597i) q^{39} +(-0.705656 - 2.12180i) q^{40} +(0.691749 + 0.952111i) q^{41} +(-5.24232 + 4.34665i) q^{42} +(-8.25027 + 8.25027i) q^{43} +(-1.09422 + 3.36766i) q^{44} +(-4.06294 + 5.33784i) q^{45} +(-2.41124 - 7.42105i) q^{46} +(10.2948 + 5.24545i) q^{47} +(0.639399 + 1.60971i) q^{48} +8.45844i q^{49} +(-4.94878 - 0.713878i) q^{50} +(1.77212 - 0.398183i) q^{51} +(-0.331962 - 2.09592i) q^{52} +(-1.93475 + 3.79716i) q^{53} +(2.90633 - 4.30735i) q^{54} +(5.63730 + 5.55995i) q^{55} +(3.73929 + 1.21497i) q^{56} +(4.59778 - 7.26276i) q^{57} +(1.26128 + 2.47540i) q^{58} +(-5.11067 + 3.71312i) q^{59} +(3.85859 + 0.333552i) q^{60} +(1.09310 + 0.794185i) q^{61} +(0.232323 - 1.46683i) q^{62} +(-3.31591 - 11.3195i) q^{63} +(0.587785 - 0.809017i) q^{64} +(-4.52283 - 1.43509i) q^{65} +(-4.60503 - 4.05080i) q^{66} +(8.29150 - 4.22473i) q^{67} +(-0.741501 - 0.741501i) q^{68} +(13.4565 + 1.25693i) q^{69} +(6.17351 - 6.25939i) q^{70} +(2.47790 - 0.805120i) q^{71} +(-2.99872 - 0.0875690i) q^{72} +(8.82492 - 1.39773i) q^{73} -1.08497 q^{74} +(4.53075 - 7.38054i) q^{75} -4.96277 q^{76} +(-13.7507 + 2.17789i) q^{77} +(3.56104 + 0.910103i) q^{78} +(-14.4405 + 4.69199i) q^{79} +(-1.02889 - 1.98529i) q^{80} +(4.85616 + 7.57744i) q^{81} +(0.832175 + 0.832175i) q^{82} +(9.56823 - 4.87526i) q^{83} +(-4.49782 + 5.11321i) q^{84} +(-2.22501 + 0.739979i) q^{85} +(-6.85807 + 9.43932i) q^{86} +(-4.80216 + 0.307484i) q^{87} +(-0.553929 + 3.49737i) q^{88} +(2.14121 + 1.55568i) q^{89} +(-3.17790 + 5.90770i) q^{90} +(6.74988 - 4.90407i) q^{91} +(-3.54247 - 6.95248i) q^{92} +(2.17339 + 1.37589i) q^{93} +(10.9886 + 3.57041i) q^{94} +(-4.96956 + 9.92214i) q^{95} +(0.883341 + 1.48987i) q^{96} +(7.23583 - 14.2011i) q^{97} +(1.32319 + 8.35430i) q^{98} +(9.60181 - 4.54436i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 4q^{3} + 4q^{7} + O(q^{10}) \) \( 80q + 4q^{3} + 4q^{7} - 4q^{10} - 4q^{12} - 8q^{15} + 20q^{16} - 8q^{18} - 40q^{19} - 36q^{22} - 104q^{25} + 4q^{27} - 16q^{28} + 12q^{30} + 4q^{33} - 40q^{34} - 24q^{37} - 40q^{39} - 8q^{40} - 4q^{42} - 24q^{43} - 72q^{45} - 4q^{48} - 12q^{55} - 64q^{57} + 20q^{58} + 24q^{60} + 64q^{63} + 96q^{67} + 140q^{69} + 76q^{70} + 8q^{72} + 100q^{73} + 132q^{75} + 100q^{78} + 80q^{79} - 40q^{81} + 96q^{82} + 60q^{84} + 32q^{85} + 80q^{87} + 4q^{88} + 52q^{90} + 12q^{93} - 32q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(-1\) \(e\left(\frac{9}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.987688 0.156434i 0.698401 0.110616i
\(3\) −0.428879 + 1.67811i −0.247614 + 0.968859i
\(4\) 0.951057 0.309017i 0.475528 0.154508i
\(5\) 0.334535 2.21090i 0.149609 0.988745i
\(6\) −0.161084 + 1.72454i −0.0657624 + 0.704042i
\(7\) 2.78015 + 2.78015i 1.05080 + 1.05080i 0.998639 + 0.0521581i \(0.0166100\pi\)
0.0521581 + 0.998639i \(0.483390\pi\)
\(8\) 0.891007 0.453990i 0.315018 0.160510i
\(9\) −2.63213 1.43942i −0.877375 0.479805i
\(10\) −0.0154450 2.23601i −0.00488414 0.707090i
\(11\) −2.08133 + 2.86470i −0.627544 + 0.863740i −0.997875 0.0651600i \(-0.979244\pi\)
0.370331 + 0.928900i \(0.379244\pi\)
\(12\) 0.110677 + 1.72851i 0.0319497 + 0.498978i
\(13\) 0.331962 2.09592i 0.0920696 0.581304i −0.897919 0.440160i \(-0.854922\pi\)
0.989989 0.141144i \(-0.0450782\pi\)
\(14\) 3.18083 + 2.31101i 0.850113 + 0.617643i
\(15\) 3.56667 + 1.50960i 0.920910 + 0.389776i
\(16\) 0.809017 0.587785i 0.202254 0.146946i
\(17\) −0.476073 0.934346i −0.115465 0.226612i 0.826040 0.563611i \(-0.190588\pi\)
−0.941505 + 0.336999i \(0.890588\pi\)
\(18\) −2.82489 1.00994i −0.665834 0.238045i
\(19\) −4.71987 1.53358i −1.08281 0.351827i −0.287348 0.957826i \(-0.592774\pi\)
−0.795465 + 0.605999i \(0.792774\pi\)
\(20\) −0.365045 2.20607i −0.0816265 0.493292i
\(21\) −5.85775 + 3.47305i −1.27827 + 0.757882i
\(22\) −1.60756 + 3.15502i −0.342734 + 0.672653i
\(23\) −1.22065 7.70688i −0.254523 1.60700i −0.701647 0.712524i \(-0.747552\pi\)
0.447124 0.894472i \(-0.352448\pi\)
\(24\) 0.379713 + 1.68992i 0.0775086 + 0.344953i
\(25\) −4.77617 1.47925i −0.955235 0.295850i
\(26\) 2.12205i 0.416168i
\(27\) 3.54437 3.79967i 0.682114 0.731246i
\(28\) 3.50319 + 1.78496i 0.662041 + 0.337327i
\(29\) 0.858514 + 2.64223i 0.159422 + 0.490650i 0.998582 0.0532341i \(-0.0169530\pi\)
−0.839160 + 0.543885i \(0.816953\pi\)
\(30\) 3.75891 + 0.933062i 0.686280 + 0.170353i
\(31\) 0.458925 1.41243i 0.0824253 0.253679i −0.901348 0.433096i \(-0.857421\pi\)
0.983773 + 0.179417i \(0.0574211\pi\)
\(32\) 0.707107 0.707107i 0.125000 0.125000i
\(33\) −3.91465 4.72131i −0.681454 0.821875i
\(34\) −0.616376 0.848368i −0.105708 0.145494i
\(35\) 7.07669 5.21658i 1.19618 0.881762i
\(36\) −2.94810 0.555594i −0.491351 0.0925991i
\(37\) −1.07161 0.169727i −0.176172 0.0279030i 0.0677249 0.997704i \(-0.478426\pi\)
−0.243897 + 0.969801i \(0.578426\pi\)
\(38\) −4.90167 0.776348i −0.795156 0.125940i
\(39\) 3.37482 + 1.45597i 0.540404 + 0.233141i
\(40\) −0.705656 2.12180i −0.111574 0.335487i
\(41\) 0.691749 + 0.952111i 0.108033 + 0.148695i 0.859610 0.510951i \(-0.170707\pi\)
−0.751577 + 0.659645i \(0.770707\pi\)
\(42\) −5.24232 + 4.34665i −0.808908 + 0.670702i
\(43\) −8.25027 + 8.25027i −1.25815 + 1.25815i −0.306181 + 0.951973i \(0.599051\pi\)
−0.951973 + 0.306181i \(0.900949\pi\)
\(44\) −1.09422 + 3.36766i −0.164960 + 0.507694i
\(45\) −4.06294 + 5.33784i −0.605668 + 0.795717i
\(46\) −2.41124 7.42105i −0.355519 1.09417i
\(47\) 10.2948 + 5.24545i 1.50165 + 0.765127i 0.995266 0.0971836i \(-0.0309834\pi\)
0.506380 + 0.862311i \(0.330983\pi\)
\(48\) 0.639399 + 1.60971i 0.0922893 + 0.232342i
\(49\) 8.45844i 1.20835i
\(50\) −4.94878 0.713878i −0.699863 0.100958i
\(51\) 1.77212 0.398183i 0.248146 0.0557567i
\(52\) −0.331962 2.09592i −0.0460348 0.290652i
\(53\) −1.93475 + 3.79716i −0.265759 + 0.521581i −0.984866 0.173318i \(-0.944551\pi\)
0.719107 + 0.694899i \(0.244551\pi\)
\(54\) 2.90633 4.30735i 0.395501 0.586156i
\(55\) 5.63730 + 5.55995i 0.760133 + 0.749704i
\(56\) 3.73929 + 1.21497i 0.499684 + 0.162357i
\(57\) 4.59778 7.26276i 0.608990 0.961976i
\(58\) 1.26128 + 2.47540i 0.165614 + 0.325036i
\(59\) −5.11067 + 3.71312i −0.665353 + 0.483407i −0.868466 0.495748i \(-0.834894\pi\)
0.203113 + 0.979155i \(0.434894\pi\)
\(60\) 3.85859 + 0.333552i 0.498142 + 0.0430613i
\(61\) 1.09310 + 0.794185i 0.139957 + 0.101685i 0.655561 0.755142i \(-0.272432\pi\)
−0.515604 + 0.856827i \(0.672432\pi\)
\(62\) 0.232323 1.46683i 0.0295050 0.186287i
\(63\) −3.31591 11.3195i −0.417765 1.42612i
\(64\) 0.587785 0.809017i 0.0734732 0.101127i
\(65\) −4.52283 1.43509i −0.560988 0.178001i
\(66\) −4.60503 4.05080i −0.566840 0.498619i
\(67\) 8.29150 4.22473i 1.01297 0.516133i 0.132974 0.991119i \(-0.457547\pi\)
0.879993 + 0.474987i \(0.157547\pi\)
\(68\) −0.741501 0.741501i −0.0899202 0.0899202i
\(69\) 13.4565 + 1.25693i 1.61998 + 0.151317i
\(70\) 6.17351 6.25939i 0.737876 0.748140i
\(71\) 2.47790 0.805120i 0.294073 0.0955501i −0.158265 0.987397i \(-0.550590\pi\)
0.452338 + 0.891847i \(0.350590\pi\)
\(72\) −2.99872 0.0875690i −0.353403 0.0103201i
\(73\) 8.82492 1.39773i 1.03288 0.163592i 0.383093 0.923710i \(-0.374859\pi\)
0.649785 + 0.760118i \(0.274859\pi\)
\(74\) −1.08497 −0.126126
\(75\) 4.53075 7.38054i 0.523165 0.852231i
\(76\) −4.96277 −0.569269
\(77\) −13.7507 + 2.17789i −1.56704 + 0.248194i
\(78\) 3.56104 + 0.910103i 0.403208 + 0.103049i
\(79\) −14.4405 + 4.69199i −1.62468 + 0.527891i −0.973040 0.230637i \(-0.925919\pi\)
−0.651641 + 0.758528i \(0.725919\pi\)
\(80\) −1.02889 1.98529i −0.115034 0.221962i
\(81\) 4.85616 + 7.57744i 0.539574 + 0.841938i
\(82\) 0.832175 + 0.832175i 0.0918984 + 0.0918984i
\(83\) 9.56823 4.87526i 1.05025 0.535129i 0.158360 0.987381i \(-0.449379\pi\)
0.891890 + 0.452252i \(0.149379\pi\)
\(84\) −4.49782 + 5.11321i −0.490752 + 0.557897i
\(85\) −2.22501 + 0.739979i −0.241336 + 0.0802620i
\(86\) −6.85807 + 9.43932i −0.739525 + 1.01787i
\(87\) −4.80216 + 0.307484i −0.514846 + 0.0329657i
\(88\) −0.553929 + 3.49737i −0.0590490 + 0.372821i
\(89\) 2.14121 + 1.55568i 0.226968 + 0.164902i 0.695458 0.718567i \(-0.255202\pi\)
−0.468490 + 0.883469i \(0.655202\pi\)
\(90\) −3.17790 + 5.90770i −0.334980 + 0.622726i
\(91\) 6.74988 4.90407i 0.707579 0.514086i
\(92\) −3.54247 6.95248i −0.369328 0.724846i
\(93\) 2.17339 + 1.37589i 0.225370 + 0.142673i
\(94\) 10.9886 + 3.57041i 1.13339 + 0.368260i
\(95\) −4.96956 + 9.92214i −0.509866 + 1.01799i
\(96\) 0.883341 + 1.48987i 0.0901557 + 0.152059i
\(97\) 7.23583 14.2011i 0.734687 1.44190i −0.156222 0.987722i \(-0.549932\pi\)
0.890909 0.454182i \(-0.150068\pi\)
\(98\) 1.32319 + 8.35430i 0.133663 + 0.843912i
\(99\) 9.60181 4.54436i 0.965018 0.456725i
\(100\) −4.99952 + 0.0690705i −0.499952 + 0.00690705i
\(101\) 2.78509i 0.277127i −0.990354 0.138564i \(-0.955751\pi\)
0.990354 0.138564i \(-0.0442485\pi\)
\(102\) 1.68801 0.670500i 0.167138 0.0663894i
\(103\) 9.98017 + 5.08515i 0.983376 + 0.501055i 0.870295 0.492531i \(-0.163928\pi\)
0.113081 + 0.993586i \(0.463928\pi\)
\(104\) −0.655749 2.01819i −0.0643015 0.197900i
\(105\) 5.71896 + 14.1128i 0.558113 + 1.37726i
\(106\) −1.31692 + 4.05308i −0.127911 + 0.393670i
\(107\) −3.58302 + 3.58302i −0.346384 + 0.346384i −0.858761 0.512377i \(-0.828765\pi\)
0.512377 + 0.858761i \(0.328765\pi\)
\(108\) 2.19673 4.70897i 0.211381 0.453121i
\(109\) −5.92254 8.15168i −0.567277 0.780789i 0.424952 0.905216i \(-0.360291\pi\)
−0.992229 + 0.124427i \(0.960291\pi\)
\(110\) 6.43766 + 4.60963i 0.613807 + 0.439511i
\(111\) 0.744415 1.72550i 0.0706567 0.163777i
\(112\) 3.88332 + 0.615057i 0.366939 + 0.0581174i
\(113\) 3.71655 + 0.588643i 0.349623 + 0.0553749i 0.328776 0.944408i \(-0.393364\pi\)
0.0208469 + 0.999783i \(0.493364\pi\)
\(114\) 3.40502 7.89259i 0.318910 0.739209i
\(115\) −17.4475 + 0.120517i −1.62699 + 0.0112382i
\(116\) 1.63299 + 2.24762i 0.151619 + 0.208686i
\(117\) −3.89067 + 5.03890i −0.359692 + 0.465846i
\(118\) −4.46689 + 4.46689i −0.411211 + 0.411211i
\(119\) 1.27407 3.92117i 0.116793 0.359453i
\(120\) 3.86327 0.274172i 0.352666 0.0250284i
\(121\) −0.475402 1.46314i −0.0432184 0.133012i
\(122\) 1.20388 + 0.613408i 0.108994 + 0.0555354i
\(123\) −1.89443 + 0.752492i −0.170815 + 0.0678499i
\(124\) 1.48511i 0.133367i
\(125\) −4.86827 + 10.0648i −0.435431 + 0.900222i
\(126\) −5.04584 10.6614i −0.449519 0.949793i
\(127\) 2.99916 + 18.9360i 0.266133 + 1.68030i 0.652373 + 0.757898i \(0.273773\pi\)
−0.386241 + 0.922398i \(0.626227\pi\)
\(128\) 0.453990 0.891007i 0.0401275 0.0787546i
\(129\) −10.3065 17.3833i −0.907438 1.53051i
\(130\) −4.69164 0.709899i −0.411484 0.0622623i
\(131\) −11.4171 3.70965i −0.997519 0.324113i −0.235645 0.971839i \(-0.575720\pi\)
−0.761874 + 0.647726i \(0.775720\pi\)
\(132\) −5.18202 3.28054i −0.451037 0.285534i
\(133\) −8.85836 17.3855i −0.768118 1.50752i
\(134\) 7.52852 5.46979i 0.650365 0.472518i
\(135\) −7.21498 9.10737i −0.620966 0.783837i
\(136\) −0.848368 0.616376i −0.0727470 0.0528538i
\(137\) −1.31496 + 8.30230i −0.112344 + 0.709314i 0.865645 + 0.500658i \(0.166909\pi\)
−0.977989 + 0.208655i \(0.933091\pi\)
\(138\) 13.4875 0.863606i 1.14813 0.0735151i
\(139\) 1.56608 2.15552i 0.132833 0.182829i −0.737419 0.675435i \(-0.763956\pi\)
0.870252 + 0.492607i \(0.163956\pi\)
\(140\) 5.11832 7.14808i 0.432577 0.604123i
\(141\) −13.2177 + 15.0261i −1.11313 + 1.26543i
\(142\) 2.32145 1.18284i 0.194812 0.0992615i
\(143\) 5.31327 + 5.31327i 0.444318 + 0.444318i
\(144\) −2.97550 + 0.382612i −0.247958 + 0.0318844i
\(145\) 6.12892 1.01417i 0.508979 0.0842222i
\(146\) 8.49762 2.76104i 0.703268 0.228506i
\(147\) −14.1942 3.62765i −1.17072 0.299203i
\(148\) −1.07161 + 0.169727i −0.0880862 + 0.0139515i
\(149\) −15.1777 −1.24340 −0.621701 0.783254i \(-0.713558\pi\)
−0.621701 + 0.783254i \(0.713558\pi\)
\(150\) 3.32039 7.99844i 0.271109 0.653070i
\(151\) 13.0979 1.06590 0.532948 0.846148i \(-0.321084\pi\)
0.532948 + 0.846148i \(0.321084\pi\)
\(152\) −4.90167 + 0.776348i −0.397578 + 0.0629701i
\(153\) −0.0918285 + 3.14458i −0.00742389 + 0.254224i
\(154\) −13.2407 + 4.30216i −1.06697 + 0.346678i
\(155\) −2.96921 1.48714i −0.238492 0.119450i
\(156\) 3.65957 + 0.341829i 0.293000 + 0.0273682i
\(157\) −6.13050 6.13050i −0.489267 0.489267i 0.418808 0.908075i \(-0.362448\pi\)
−0.908075 + 0.418808i \(0.862448\pi\)
\(158\) −13.5287 + 6.89322i −1.07629 + 0.548395i
\(159\) −5.54230 4.87526i −0.439533 0.386633i
\(160\) −1.32679 1.79990i −0.104892 0.142294i
\(161\) 18.0327 24.8199i 1.42117 1.95608i
\(162\) 5.98175 + 6.72448i 0.469971 + 0.528325i
\(163\) −0.771116 + 4.86864i −0.0603985 + 0.381341i 0.938910 + 0.344162i \(0.111837\pi\)
−0.999309 + 0.0371787i \(0.988163\pi\)
\(164\) 0.952111 + 0.691749i 0.0743473 + 0.0540165i
\(165\) −11.7479 + 7.07547i −0.914576 + 0.550825i
\(166\) 8.68777 6.31204i 0.674302 0.489909i
\(167\) −3.73760 7.33545i −0.289224 0.567634i 0.699983 0.714160i \(-0.253191\pi\)
−0.989207 + 0.146525i \(0.953191\pi\)
\(168\) −3.64256 + 5.75388i −0.281030 + 0.443921i
\(169\) 8.08104 + 2.62569i 0.621619 + 0.201976i
\(170\) −2.08186 + 1.07894i −0.159671 + 0.0827507i
\(171\) 10.2158 + 10.8304i 0.781225 + 0.828224i
\(172\) −5.29700 + 10.3959i −0.403892 + 0.792684i
\(173\) 0.713712 + 4.50620i 0.0542625 + 0.342600i 0.999851 + 0.0172364i \(0.00548677\pi\)
−0.945589 + 0.325364i \(0.894513\pi\)
\(174\) −4.69494 + 1.05492i −0.355923 + 0.0799734i
\(175\) −9.16594 17.3910i −0.692880 1.31464i
\(176\) 3.54097i 0.266910i
\(177\) −4.03918 10.1688i −0.303603 0.764332i
\(178\) 2.35821 + 1.20157i 0.176755 + 0.0900614i
\(179\) −3.51637 10.8223i −0.262826 0.808894i −0.992186 0.124765i \(-0.960182\pi\)
0.729361 0.684129i \(-0.239818\pi\)
\(180\) −2.21461 + 6.33210i −0.165067 + 0.471967i
\(181\) 2.01769 6.20982i 0.149974 0.461572i −0.847643 0.530567i \(-0.821979\pi\)
0.997617 + 0.0689945i \(0.0219791\pi\)
\(182\) 5.89961 5.89961i 0.437308 0.437308i
\(183\) −1.80154 + 1.49374i −0.133174 + 0.110420i
\(184\) −4.58646 6.31272i −0.338118 0.465380i
\(185\) −0.733743 + 2.31246i −0.0539458 + 0.170015i
\(186\) 2.36186 + 1.01896i 0.173180 + 0.0747135i
\(187\) 3.66749 + 0.580873i 0.268193 + 0.0424776i
\(188\) 11.4118 + 1.80746i 0.832294 + 0.131822i
\(189\) 20.4175 0.709775i 1.48515 0.0516285i
\(190\) −3.35621 + 10.5774i −0.243485 + 0.767365i
\(191\) 0.349868 + 0.481552i 0.0253155 + 0.0348439i 0.821487 0.570227i \(-0.193145\pi\)
−0.796172 + 0.605071i \(0.793145\pi\)
\(192\) 1.10553 + 1.33334i 0.0797850 + 0.0962256i
\(193\) −15.5790 + 15.5790i −1.12140 + 1.12140i −0.129866 + 0.991532i \(0.541455\pi\)
−0.991532 + 0.129866i \(0.958545\pi\)
\(194\) 4.92520 15.1582i 0.353609 1.08830i
\(195\) 4.34800 6.97433i 0.311366 0.499442i
\(196\) 2.61380 + 8.04445i 0.186700 + 0.574604i
\(197\) −2.51349 1.28069i −0.179079 0.0912453i 0.362153 0.932119i \(-0.382042\pi\)
−0.541232 + 0.840873i \(0.682042\pi\)
\(198\) 8.77270 5.99046i 0.623449 0.425724i
\(199\) 10.4829i 0.743113i 0.928410 + 0.371556i \(0.121176\pi\)
−0.928410 + 0.371556i \(0.878824\pi\)
\(200\) −4.92717 + 0.850318i −0.348403 + 0.0601266i
\(201\) 3.53352 + 15.7260i 0.249235 + 1.10922i
\(202\) −0.435685 2.75080i −0.0306547 0.193546i
\(203\) −4.95900 + 9.73259i −0.348054 + 0.683094i
\(204\) 1.56234 0.926308i 0.109385 0.0648545i
\(205\) 2.33644 1.21087i 0.163184 0.0845711i
\(206\) 10.6528 + 3.46130i 0.742215 + 0.241160i
\(207\) −7.88050 + 22.0425i −0.547733 + 1.53206i
\(208\) −0.963390 1.89076i −0.0667991 0.131101i
\(209\) 14.2168 10.3291i 0.983400 0.714482i
\(210\) 7.85627 + 13.0444i 0.542134 + 0.900147i
\(211\) 1.70957 + 1.24207i 0.117692 + 0.0855079i 0.645074 0.764120i \(-0.276827\pi\)
−0.527382 + 0.849628i \(0.676827\pi\)
\(212\) −0.666670 + 4.20919i −0.0457871 + 0.289088i
\(213\) 0.288360 + 4.50350i 0.0197581 + 0.308575i
\(214\) −2.97840 + 4.09941i −0.203599 + 0.280230i
\(215\) 15.4805 + 21.0005i 1.05576 + 1.43222i
\(216\) 1.43304 4.99464i 0.0975061 0.339842i
\(217\) 5.20263 2.65087i 0.353177 0.179953i
\(218\) −7.12483 7.12483i −0.482554 0.482554i
\(219\) −1.43928 + 15.4087i −0.0972573 + 1.04122i
\(220\) 7.07951 + 3.54581i 0.477300 + 0.239058i
\(221\) −2.11635 + 0.687645i −0.142361 + 0.0462560i
\(222\) 0.465322 1.82071i 0.0312304 0.122198i
\(223\) −10.5167 + 1.66568i −0.704248 + 0.111542i −0.498279 0.867017i \(-0.666034\pi\)
−0.205969 + 0.978559i \(0.566034\pi\)
\(224\) 3.93172 0.262699
\(225\) 10.4422 + 10.7685i 0.696149 + 0.717898i
\(226\) 3.76287 0.250303
\(227\) 1.36230 0.215768i 0.0904192 0.0143210i −0.111061 0.993814i \(-0.535425\pi\)
0.201480 + 0.979493i \(0.435425\pi\)
\(228\) 2.12843 8.32808i 0.140959 0.551541i
\(229\) 15.7865 5.12935i 1.04320 0.338957i 0.263205 0.964740i \(-0.415220\pi\)
0.779997 + 0.625783i \(0.215220\pi\)
\(230\) −17.2138 + 2.84842i −1.13505 + 0.187820i
\(231\) 2.24263 24.0093i 0.147554 1.57969i
\(232\) 1.96449 + 1.96449i 0.128975 + 0.128975i
\(233\) 22.1187 11.2700i 1.44904 0.738324i 0.460274 0.887777i \(-0.347751\pi\)
0.988769 + 0.149453i \(0.0477511\pi\)
\(234\) −3.05451 + 5.58550i −0.199680 + 0.365135i
\(235\) 15.0411 21.0059i 0.981175 1.37028i
\(236\) −3.71312 + 5.11067i −0.241704 + 0.332677i
\(237\) −1.68048 26.2450i −0.109159 1.70480i
\(238\) 0.644974 4.07220i 0.0418074 0.263962i
\(239\) −19.2197 13.9639i −1.24322 0.903249i −0.245408 0.969420i \(-0.578922\pi\)
−0.997808 + 0.0661704i \(0.978922\pi\)
\(240\) 3.77281 0.875145i 0.243534 0.0564903i
\(241\) −5.11077 + 3.71319i −0.329214 + 0.239188i −0.740097 0.672500i \(-0.765220\pi\)
0.410883 + 0.911688i \(0.365220\pi\)
\(242\) −0.698434 1.37075i −0.0448970 0.0881154i
\(243\) −14.7985 + 4.89938i −0.949325 + 0.314296i
\(244\) 1.28502 + 0.417528i 0.0822649 + 0.0267295i
\(245\) 18.7008 + 2.82964i 1.19475 + 0.180779i
\(246\) −1.75339 + 1.03958i −0.111792 + 0.0662813i
\(247\) −4.78108 + 9.38340i −0.304213 + 0.597051i
\(248\) −0.232323 1.46683i −0.0147525 0.0931436i
\(249\) 4.07762 + 18.1475i 0.258408 + 1.15005i
\(250\) −3.23385 + 10.7024i −0.204527 + 0.676882i
\(251\) 13.8304i 0.872966i 0.899712 + 0.436483i \(0.143776\pi\)
−0.899712 + 0.436483i \(0.856224\pi\)
\(252\) −6.65153 9.74080i −0.419007 0.613613i
\(253\) 24.6185 + 12.5437i 1.54775 + 0.788619i
\(254\) 5.92448 + 18.2337i 0.371735 + 1.14408i
\(255\) −0.287508 4.05118i −0.0180044 0.253695i
\(256\) 0.309017 0.951057i 0.0193136 0.0594410i
\(257\) 12.9955 12.9955i 0.810638 0.810638i −0.174091 0.984730i \(-0.555699\pi\)
0.984730 + 0.174091i \(0.0556987\pi\)
\(258\) −12.8990 15.5569i −0.803054 0.968533i
\(259\) −2.50738 3.45111i −0.155801 0.214442i
\(260\) −4.74493 + 0.0327750i −0.294268 + 0.00203262i
\(261\) 1.54356 8.19045i 0.0955438 0.506976i
\(262\) −11.8569 1.87794i −0.732520 0.116020i
\(263\) −8.70800 1.37921i −0.536958 0.0850458i −0.117935 0.993021i \(-0.537627\pi\)
−0.419023 + 0.907976i \(0.637627\pi\)
\(264\) −5.63141 2.42950i −0.346589 0.149526i
\(265\) 7.74792 + 5.54783i 0.475951 + 0.340801i
\(266\) −11.4690 15.7857i −0.703209 0.967885i
\(267\) −3.52893 + 2.92600i −0.215967 + 0.179068i
\(268\) 6.58017 6.58017i 0.401948 0.401948i
\(269\) 0.0471754 0.145191i 0.00287634 0.00885245i −0.949608 0.313440i \(-0.898519\pi\)
0.952484 + 0.304587i \(0.0985186\pi\)
\(270\) −8.55085 7.86657i −0.520388 0.478744i
\(271\) −3.79892 11.6919i −0.230768 0.710230i −0.997655 0.0684477i \(-0.978195\pi\)
0.766887 0.641782i \(-0.221805\pi\)
\(272\) −0.934346 0.476073i −0.0566530 0.0288662i
\(273\) 5.33470 + 13.4303i 0.322871 + 0.812839i
\(274\) 8.40579i 0.507813i
\(275\) 14.1784 10.6035i 0.854988 0.639416i
\(276\) 13.1863 2.96288i 0.793724 0.178345i
\(277\) 0.680977 + 4.29952i 0.0409160 + 0.258333i 0.999664 0.0259243i \(-0.00825290\pi\)
−0.958748 + 0.284258i \(0.908253\pi\)
\(278\) 1.20960 2.37397i 0.0725468 0.142381i
\(279\) −3.24101 + 3.05710i −0.194034 + 0.183024i
\(280\) 3.93710 7.86075i 0.235287 0.469770i
\(281\) −21.0452 6.83801i −1.25545 0.407922i −0.395582 0.918431i \(-0.629457\pi\)
−0.859872 + 0.510509i \(0.829457\pi\)
\(282\) −10.7043 + 16.9088i −0.637434 + 1.00691i
\(283\) 3.54907 + 6.96545i 0.210970 + 0.414053i 0.972107 0.234539i \(-0.0753581\pi\)
−0.761136 + 0.648592i \(0.775358\pi\)
\(284\) 2.10783 1.53143i 0.125077 0.0908736i
\(285\) −14.5191 12.5949i −0.860039 0.746056i
\(286\) 6.07903 + 4.41668i 0.359461 + 0.261164i
\(287\) −0.723844 + 4.57017i −0.0427272 + 0.269769i
\(288\) −2.87901 + 0.843373i −0.169648 + 0.0496962i
\(289\) 9.34599 12.8637i 0.549764 0.756686i
\(290\) 5.89481 1.96046i 0.346155 0.115122i
\(291\) 20.7278 + 18.2331i 1.21508 + 1.06884i
\(292\) 7.96107 4.05637i 0.465887 0.237381i
\(293\) −5.69369 5.69369i −0.332629 0.332629i 0.520955 0.853584i \(-0.325576\pi\)
−0.853584 + 0.520955i \(0.825576\pi\)
\(294\) −14.5869 1.36252i −0.850728 0.0794639i
\(295\) 6.49965 + 12.5414i 0.378424 + 0.730187i
\(296\) −1.03187 + 0.335275i −0.0599762 + 0.0194875i
\(297\) 3.50793 + 18.0619i 0.203550 + 1.04806i
\(298\) −14.9908 + 2.37431i −0.868394 + 0.137540i
\(299\) −16.5582 −0.957588
\(300\) 2.02828 8.41939i 0.117103 0.486093i
\(301\) −45.8739 −2.64413
\(302\) 12.9367 2.04897i 0.744422 0.117905i
\(303\) 4.67370 + 1.19447i 0.268497 + 0.0686205i
\(304\) −4.71987 + 1.53358i −0.270703 + 0.0879568i
\(305\) 2.12155 2.15106i 0.121479 0.123169i
\(306\) 0.401223 + 3.12023i 0.0229364 + 0.178372i
\(307\) −6.57841 6.57841i −0.375450 0.375450i 0.494008 0.869458i \(-0.335531\pi\)
−0.869458 + 0.494008i \(0.835531\pi\)
\(308\) −12.4047 + 6.32050i −0.706822 + 0.360144i
\(309\) −12.8138 + 14.5669i −0.728949 + 0.828684i
\(310\) −3.16529 1.00435i −0.179776 0.0570431i
\(311\) 6.69564 9.21576i 0.379675 0.522578i −0.575823 0.817574i \(-0.695318\pi\)
0.955498 + 0.294996i \(0.0953184\pi\)
\(312\) 3.66798 0.234862i 0.207659 0.0132964i
\(313\) 3.74388 23.6379i 0.211617 1.33610i −0.621681 0.783271i \(-0.713550\pi\)
0.833297 0.552825i \(-0.186450\pi\)
\(314\) −7.01404 5.09600i −0.395825 0.287584i
\(315\) −26.1356 + 3.54438i −1.47257 + 0.199703i
\(316\) −12.2838 + 8.92470i −0.691018 + 0.502054i
\(317\) 6.09176 + 11.9558i 0.342147 + 0.671502i 0.996400 0.0847737i \(-0.0270167\pi\)
−0.654253 + 0.756276i \(0.727017\pi\)
\(318\) −6.23672 3.94823i −0.349738 0.221406i
\(319\) −9.35606 3.03997i −0.523839 0.170205i
\(320\) −1.59202 1.57018i −0.0889968 0.0877757i
\(321\) −4.47603 7.54939i −0.249828 0.421366i
\(322\) 13.9280 27.3352i 0.776176 1.52333i
\(323\) 0.814110 + 5.14009i 0.0452983 + 0.286002i
\(324\) 6.96005 + 5.70594i 0.386669 + 0.316997i
\(325\) −4.68589 + 9.51943i −0.259927 + 0.528043i
\(326\) 4.92933i 0.273010i
\(327\) 16.2195 6.44261i 0.896940 0.356277i
\(328\) 1.04860 + 0.534289i 0.0578994 + 0.0295012i
\(329\) 14.0379 + 43.2041i 0.773932 + 2.38192i
\(330\) −10.4965 + 8.82614i −0.577811 + 0.485863i
\(331\) −2.24416 + 6.90681i −0.123350 + 0.379633i −0.993597 0.112983i \(-0.963959\pi\)
0.870247 + 0.492616i \(0.163959\pi\)
\(332\) 7.59339 7.59339i 0.416742 0.416742i
\(333\) 2.57632 + 1.98924i 0.141181 + 0.109010i
\(334\) −4.83910 6.66045i −0.264784 0.364444i
\(335\) −6.56666 19.7450i −0.358775 1.07878i
\(336\) −2.69761 + 6.25286i −0.147167 + 0.341121i
\(337\) −25.1497 3.98332i −1.36999 0.216985i −0.572297 0.820046i \(-0.693948\pi\)
−0.797695 + 0.603061i \(0.793948\pi\)
\(338\) 8.39230 + 1.32921i 0.456481 + 0.0722995i
\(339\) −2.58176 + 5.98433i −0.140222 + 0.325024i
\(340\) −1.88744 + 1.39133i −0.102361 + 0.0754554i
\(341\) 3.09100 + 4.25440i 0.167387 + 0.230389i
\(342\) 11.7843 + 9.09898i 0.637223 + 0.492017i
\(343\) −4.05468 + 4.05468i −0.218932 + 0.218932i
\(344\) −3.60550 + 11.0966i −0.194396 + 0.598288i
\(345\) 7.28064 29.3306i 0.391976 1.57911i
\(346\) 1.40985 + 4.33907i 0.0757940 + 0.233270i
\(347\) −4.08726 2.08256i −0.219416 0.111798i 0.340828 0.940126i \(-0.389293\pi\)
−0.560244 + 0.828328i \(0.689293\pi\)
\(348\) −4.47211 + 1.77638i −0.239730 + 0.0952242i
\(349\) 10.1416i 0.542867i −0.962457 0.271434i \(-0.912502\pi\)
0.962457 0.271434i \(-0.0874978\pi\)
\(350\) −11.7736 15.7430i −0.629328 0.841499i
\(351\) −6.78721 8.69006i −0.362275 0.463841i
\(352\) 0.553929 + 3.49737i 0.0295245 + 0.186410i
\(353\) 5.55052 10.8935i 0.295424 0.579803i −0.694814 0.719190i \(-0.744513\pi\)
0.990238 + 0.139387i \(0.0445132\pi\)
\(354\) −5.58019 9.41171i −0.296584 0.500227i
\(355\) −0.951095 5.74774i −0.0504789 0.305058i
\(356\) 2.51715 + 0.817870i 0.133408 + 0.0433470i
\(357\) 6.03375 + 3.81974i 0.319340 + 0.202162i
\(358\) −5.16605 10.1389i −0.273034 0.535860i
\(359\) 27.4018 19.9085i 1.44621 1.05073i 0.459511 0.888172i \(-0.348025\pi\)
0.986699 0.162561i \(-0.0519753\pi\)
\(360\) −1.19678 + 6.60058i −0.0630760 + 0.347881i
\(361\) 4.55401 + 3.30868i 0.239685 + 0.174141i
\(362\) 1.02142 6.44900i 0.0536847 0.338952i
\(363\) 2.65920 0.170269i 0.139572 0.00893681i
\(364\) 4.90407 6.74988i 0.257043 0.353790i
\(365\) −0.138000 19.9786i −0.00722324 1.04573i
\(366\) −1.54569 + 1.75717i −0.0807944 + 0.0918488i
\(367\) −4.23542 + 2.15805i −0.221087 + 0.112649i −0.561026 0.827798i \(-0.689593\pi\)
0.339939 + 0.940447i \(0.389593\pi\)
\(368\) −5.51752 5.51752i −0.287621 0.287621i
\(369\) −0.450286 3.50179i −0.0234410 0.182296i
\(370\) −0.362961 + 2.39877i −0.0188695 + 0.124706i
\(371\) −15.9356 + 5.17778i −0.827334 + 0.268817i
\(372\) 2.49219 + 0.636934i 0.129214 + 0.0330235i
\(373\) 37.1540 5.88461i 1.92376 0.304693i 0.926352 0.376660i \(-0.122927\pi\)
0.997407 + 0.0719662i \(0.0229274\pi\)
\(374\) 3.71320 0.192005
\(375\) −14.8020 12.4861i −0.764369 0.644778i
\(376\) 11.5541 0.595857
\(377\) 5.82291 0.922258i 0.299895 0.0474987i
\(378\) 20.0551 3.89504i 1.03152 0.200339i
\(379\) 15.4663 5.02532i 0.794453 0.258133i 0.116454 0.993196i \(-0.462847\pi\)
0.677999 + 0.735063i \(0.262847\pi\)
\(380\) −1.66022 + 10.9722i −0.0851674 + 0.562862i
\(381\) −33.0630 3.08831i −1.69387 0.158219i
\(382\) 0.420892 + 0.420892i 0.0215347 + 0.0215347i
\(383\) −28.2694 + 14.4040i −1.44450 + 0.736009i −0.988107 0.153769i \(-0.950859\pi\)
−0.456393 + 0.889779i \(0.650859\pi\)
\(384\) 1.30050 + 1.14398i 0.0663660 + 0.0583786i
\(385\) 0.215027 + 31.1300i 0.0109588 + 1.58653i
\(386\) −12.9501 + 17.8242i −0.659141 + 0.907230i
\(387\) 33.5913 9.84017i 1.70754 0.500204i
\(388\) 2.49330 15.7420i 0.126578 0.799181i
\(389\) 8.93091 + 6.48869i 0.452815 + 0.328989i 0.790706 0.612196i \(-0.209714\pi\)
−0.337891 + 0.941185i \(0.609714\pi\)
\(390\) 3.20344 7.56864i 0.162212 0.383253i
\(391\) −6.61978 + 4.80955i −0.334776 + 0.243229i
\(392\) 3.84005 + 7.53652i 0.193952 + 0.380652i
\(393\) 11.1218 17.5682i 0.561019 0.886200i
\(394\) −2.68289 0.871725i −0.135162 0.0439169i
\(395\) 5.54270 + 33.4961i 0.278883 + 1.68537i
\(396\) 7.72758 7.28906i 0.388325 0.366289i
\(397\) −6.77912 + 13.3048i −0.340234 + 0.667748i −0.996205 0.0870388i \(-0.972260\pi\)
0.655970 + 0.754787i \(0.272260\pi\)
\(398\) 1.63989 + 10.3538i 0.0822000 + 0.518991i
\(399\) 32.9740 7.40905i 1.65077 0.370916i
\(400\) −4.73348 + 1.61063i −0.236674 + 0.0805314i
\(401\) 12.7473i 0.636570i 0.947995 + 0.318285i \(0.103107\pi\)
−0.947995 + 0.318285i \(0.896893\pi\)
\(402\) 5.95010 + 14.9796i 0.296764 + 0.747114i
\(403\) −2.80799 1.43074i −0.139876 0.0712703i
\(404\) −0.860641 2.64878i −0.0428185 0.131782i
\(405\) 18.3775 8.20158i 0.913187 0.407540i
\(406\) −3.37544 + 10.3885i −0.167520 + 0.515574i
\(407\) 2.71660 2.71660i 0.134657 0.134657i
\(408\) 1.39820 1.15931i 0.0692210 0.0573942i
\(409\) 15.8203 + 21.7748i 0.782264 + 1.07669i 0.995028 + 0.0995907i \(0.0317533\pi\)
−0.212764 + 0.977104i \(0.568247\pi\)
\(410\) 2.11825 1.56147i 0.104613 0.0771153i
\(411\) −13.3682 5.76733i −0.659407 0.284481i
\(412\) 11.0631 + 1.75222i 0.545040 + 0.0863259i
\(413\) −24.5315 3.88540i −1.20711 0.191188i
\(414\) −4.33527 + 23.0039i −0.213067 + 1.13058i
\(415\) −7.57781 22.7854i −0.371980 1.11849i
\(416\) −1.24731 1.71677i −0.0611543 0.0841717i
\(417\) 2.94555 + 3.55251i 0.144244 + 0.173967i
\(418\) 12.4260 12.4260i 0.607775 0.607775i
\(419\) −5.97052 + 18.3754i −0.291679 + 0.897696i 0.692638 + 0.721286i \(0.256449\pi\)
−0.984317 + 0.176410i \(0.943551\pi\)
\(420\) 9.80014 + 11.6548i 0.478198 + 0.568695i
\(421\) 2.15745 + 6.63995i 0.105148 + 0.323611i 0.989765 0.142706i \(-0.0455804\pi\)
−0.884617 + 0.466318i \(0.845580\pi\)
\(422\) 1.88282 + 0.959347i 0.0916545 + 0.0467003i
\(423\) −19.5467 28.6251i −0.950395 1.39180i
\(424\) 4.26166i 0.206964i
\(425\) 0.891678 + 5.16683i 0.0432527 + 0.250628i
\(426\) 0.989313 + 4.40295i 0.0479324 + 0.213323i
\(427\) 0.831033 + 5.24693i 0.0402165 + 0.253917i
\(428\) −2.30044 + 4.51487i −0.111196 + 0.218234i
\(429\) −11.1950 + 6.63752i −0.540501 + 0.320462i
\(430\) 18.5752 + 18.3203i 0.895773 + 0.883483i
\(431\) −11.4753 3.72856i −0.552747 0.179598i 0.0193080 0.999814i \(-0.493854\pi\)
−0.572055 + 0.820215i \(0.693854\pi\)
\(432\) 0.634064 5.15732i 0.0305064 0.248132i
\(433\) −11.0750 21.7358i −0.532228 1.04456i −0.987999 0.154460i \(-0.950636\pi\)
0.455771 0.890097i \(-0.349364\pi\)
\(434\) 4.72389 3.43211i 0.226754 0.164746i
\(435\) −0.926676 + 10.7200i −0.0444307 + 0.513984i
\(436\) −8.15168 5.92254i −0.390395 0.283638i
\(437\) −6.05780 + 38.2475i −0.289784 + 1.82962i
\(438\) 0.988889 + 15.4441i 0.0472510 + 0.737948i
\(439\) −4.35738 + 5.99742i −0.207966 + 0.286241i −0.900240 0.435394i \(-0.856609\pi\)
0.692274 + 0.721635i \(0.256609\pi\)
\(440\) 7.54703 + 2.39467i 0.359791 + 0.114162i
\(441\) 12.1752 22.2637i 0.579772 1.06017i
\(442\) −1.98273 + 1.01025i −0.0943087 + 0.0480527i
\(443\) −0.514362 0.514362i −0.0244381 0.0244381i 0.694782 0.719220i \(-0.255501\pi\)
−0.719220 + 0.694782i \(0.755501\pi\)
\(444\) 0.174772 1.87108i 0.00829432 0.0887977i
\(445\) 4.15577 4.21358i 0.197002 0.199743i
\(446\) −10.1266 + 3.29034i −0.479509 + 0.155802i
\(447\) 6.50939 25.4698i 0.307883 1.20468i
\(448\) 3.88332 0.615057i 0.183469 0.0290587i
\(449\) −29.6955 −1.40142 −0.700709 0.713447i \(-0.747133\pi\)
−0.700709 + 0.713447i \(0.747133\pi\)
\(450\) 11.9982 + 9.00236i 0.565602 + 0.424375i
\(451\) −4.16727 −0.196229
\(452\) 3.71655 0.588643i 0.174812 0.0276874i
\(453\) −5.61743 + 21.9798i −0.263930 + 1.03270i
\(454\) 1.31178 0.426222i 0.0615648 0.0200036i
\(455\) −8.58435 16.5639i −0.402441 0.776527i
\(456\) 0.799425 8.55851i 0.0374365 0.400789i
\(457\) −2.68309 2.68309i −0.125510 0.125510i 0.641562 0.767071i \(-0.278287\pi\)
−0.767071 + 0.641562i \(0.778287\pi\)
\(458\) 14.7898 7.53576i 0.691080 0.352123i
\(459\) −5.23758 1.50274i −0.244469 0.0701421i
\(460\) −16.5563 + 5.50620i −0.771943 + 0.256728i
\(461\) −6.68161 + 9.19644i −0.311193 + 0.428321i −0.935753 0.352656i \(-0.885279\pi\)
0.624560 + 0.780977i \(0.285279\pi\)
\(462\) −1.54085 24.0645i −0.0716870 1.11958i
\(463\) −2.20029 + 13.8921i −0.102256 + 0.645619i 0.882318 + 0.470653i \(0.155982\pi\)
−0.984574 + 0.174966i \(0.944018\pi\)
\(464\) 2.24762 + 1.63299i 0.104343 + 0.0758097i
\(465\) 3.76903 4.34486i 0.174784 0.201488i
\(466\) 20.0833 14.5914i 0.930343 0.675934i
\(467\) −2.03239 3.98879i −0.0940479 0.184579i 0.839190 0.543838i \(-0.183030\pi\)
−0.933238 + 0.359259i \(0.883030\pi\)
\(468\) −2.14314 + 5.99456i −0.0990667 + 0.277099i
\(469\) 34.7969 + 11.3062i 1.60677 + 0.522072i
\(470\) 11.5699 23.1003i 0.533679 1.06554i
\(471\) 12.9169 7.65842i 0.595180 0.352881i
\(472\) −2.86792 + 5.62861i −0.132007 + 0.259078i
\(473\) −6.46305 40.8061i −0.297171 1.87627i
\(474\) −5.76542 25.6590i −0.264814 1.17856i
\(475\) 20.2744 + 14.3065i 0.930253 + 0.656427i
\(476\) 4.12296i 0.188976i
\(477\) 10.5582 7.20970i 0.483427 0.330109i
\(478\) −21.1675 10.7854i −0.968177 0.493311i
\(479\) 9.35922 + 28.8047i 0.427634 + 1.31612i 0.900450 + 0.434960i \(0.143237\pi\)
−0.472816 + 0.881161i \(0.656763\pi\)
\(480\) 3.58946 1.45457i 0.163836 0.0663916i
\(481\) −0.711470 + 2.18968i −0.0324402 + 0.0998408i
\(482\) −4.46698 + 4.46698i −0.203465 + 0.203465i
\(483\) 33.9167 + 40.9056i 1.54326 + 1.86127i
\(484\) −0.904268 1.24462i −0.0411031 0.0565736i
\(485\) −28.9766 20.7485i −1.31576 0.942139i
\(486\) −13.8499 + 7.15406i −0.628244 + 0.324515i
\(487\) −0.548721 0.0869089i −0.0248649 0.00393822i 0.143990 0.989579i \(-0.454007\pi\)
−0.168855 + 0.985641i \(0.554007\pi\)
\(488\) 1.33451 + 0.211366i 0.0604106 + 0.00956809i
\(489\) −7.83941 3.38208i −0.354510 0.152943i
\(490\) 18.9132 0.130641i 0.854411 0.00590174i
\(491\) 3.72379 + 5.12536i 0.168052 + 0.231304i 0.884734 0.466096i \(-0.154340\pi\)
−0.716682 + 0.697400i \(0.754340\pi\)
\(492\) −1.56917 + 1.30107i −0.0707438 + 0.0586569i
\(493\) 2.06004 2.06004i 0.0927797 0.0927797i
\(494\) −3.25433 + 10.0158i −0.146419 + 0.450632i
\(495\) −6.83498 22.7489i −0.307210 1.02249i
\(496\) −0.458925 1.41243i −0.0206063 0.0634198i
\(497\) 9.12729 + 4.65059i 0.409415 + 0.208607i
\(498\) 6.86630 + 17.2862i 0.307686 + 0.774612i
\(499\) 26.3004i 1.17737i −0.808363 0.588684i \(-0.799646\pi\)
0.808363 0.588684i \(-0.200354\pi\)
\(500\) −1.51981 + 11.0766i −0.0679678 + 0.495359i
\(501\) 13.9127 3.12609i 0.621573 0.139663i
\(502\) 2.16355 + 13.6601i 0.0965639 + 0.609681i
\(503\) −2.72953 + 5.35700i −0.121704 + 0.238857i −0.943818 0.330465i \(-0.892794\pi\)
0.822115 + 0.569322i \(0.192794\pi\)
\(504\) −8.09343 8.58034i −0.360510 0.382199i
\(505\) −6.15757 0.931711i −0.274008 0.0414606i
\(506\) 26.2777 + 8.53813i 1.16818 + 0.379566i
\(507\) −7.87200 + 12.4348i −0.349608 + 0.552249i
\(508\) 8.70391 + 17.0824i 0.386174 + 0.757908i
\(509\) −1.71448 + 1.24564i −0.0759931 + 0.0552122i −0.625133 0.780518i \(-0.714955\pi\)
0.549140 + 0.835730i \(0.314955\pi\)
\(510\) −0.917712 3.95633i −0.0406370 0.175189i
\(511\) 28.4205 + 20.6487i 1.25725 + 0.913444i
\(512\) 0.156434 0.987688i 0.00691349 0.0436501i
\(513\) −22.5560 + 12.4984i −0.995874 + 0.551817i
\(514\) 10.8026 14.8685i 0.476481 0.655820i
\(515\) 14.5815 20.3640i 0.642537 0.897346i
\(516\) −15.1738 13.3476i −0.667989 0.587594i
\(517\) −36.4534 + 18.5739i −1.60322 + 0.816881i
\(518\) −3.01638 3.01638i −0.132532 0.132532i
\(519\) −7.86801 0.734927i −0.345367 0.0322597i
\(520\) −4.68139 + 0.774642i −0.205292 + 0.0339703i
\(521\) 7.20132 2.33985i 0.315496 0.102511i −0.146989 0.989138i \(-0.546958\pi\)
0.462484 + 0.886627i \(0.346958\pi\)
\(522\) 0.243285 8.33107i 0.0106483 0.364641i
\(523\) −19.0191 + 3.01233i −0.831649 + 0.131720i −0.557719 0.830030i \(-0.688323\pi\)
−0.273929 + 0.961750i \(0.588323\pi\)
\(524\) −12.0047 −0.524427
\(525\) 33.1151 7.92284i 1.44526 0.345781i
\(526\) −8.81654 −0.384420
\(527\) −1.53818 + 0.243623i −0.0670040 + 0.0106124i
\(528\) −5.94214 1.51865i −0.258598 0.0660906i
\(529\) −36.0318 + 11.7074i −1.56660 + 0.509019i
\(530\) 8.52040 + 4.26749i 0.370102 + 0.185368i
\(531\) 18.7967 2.41702i 0.815706 0.104890i
\(532\) −13.7972 13.7972i −0.598186 0.598186i
\(533\) 2.22518 1.13379i 0.0963834 0.0491098i
\(534\) −3.02776 + 3.44202i −0.131024 + 0.148951i
\(535\) 6.72306 + 9.12035i 0.290663 + 0.394307i
\(536\) 5.46979 7.52852i 0.236259 0.325183i
\(537\) 19.6691 1.25942i 0.848784 0.0543478i
\(538\) 0.0238817 0.150783i 0.00102961 0.00650073i
\(539\) −24.2309 17.6048i −1.04370 0.758291i
\(540\) −9.67618 6.43207i −0.416397 0.276792i
\(541\) −5.35372 + 3.88970i −0.230174 + 0.167231i −0.696895 0.717174i \(-0.745435\pi\)
0.466720 + 0.884405i \(0.345435\pi\)
\(542\) −5.58115 10.9536i −0.239731 0.470499i
\(543\) 9.55543 + 6.04918i 0.410063 + 0.259595i
\(544\) −0.997317 0.324048i −0.0427596 0.0138934i
\(545\) −20.0039 + 10.3671i −0.856871 + 0.444079i
\(546\) 7.36999 + 12.4304i 0.315406 + 0.531973i
\(547\) −1.05652 + 2.07353i −0.0451734 + 0.0886577i −0.912490 0.409099i \(-0.865843\pi\)
0.867316 + 0.497757i \(0.165843\pi\)
\(548\) 1.31496 + 8.30230i 0.0561721 + 0.354657i
\(549\) −1.73402 3.66382i −0.0740061 0.156368i
\(550\) 12.3451 12.6909i 0.526395 0.541144i
\(551\) 13.7876i 0.587372i
\(552\) 12.5605 4.98920i 0.534610 0.212354i
\(553\) −53.1911 27.1022i −2.26192 1.15250i
\(554\) 1.34519 + 4.14006i 0.0571515 + 0.175894i
\(555\) −3.56587 2.22307i −0.151363 0.0943640i
\(556\) 0.823335 2.53396i 0.0349172 0.107464i
\(557\) −0.0556738 + 0.0556738i −0.00235897 + 0.00235897i −0.708285 0.705926i \(-0.750531\pi\)
0.705926 + 0.708285i \(0.250531\pi\)
\(558\) −2.72288 + 3.52646i −0.115269 + 0.149287i
\(559\) 14.5532 + 20.0307i 0.615533 + 0.847208i
\(560\) 2.65894 8.37987i 0.112361 0.354114i
\(561\) −2.54768 + 5.90533i −0.107563 + 0.249323i
\(562\) −21.8558 3.46162i −0.921933 0.146020i
\(563\) 38.0847 + 6.03203i 1.60508 + 0.254220i 0.893726 0.448613i \(-0.148082\pi\)
0.711355 + 0.702833i \(0.248082\pi\)
\(564\) −7.92742 + 18.3752i −0.333805 + 0.773734i
\(565\) 2.54475 8.02000i 0.107058 0.337404i
\(566\) 4.59501 + 6.32449i 0.193143 + 0.265838i
\(567\) −7.56556 + 34.5673i −0.317724 + 1.45169i
\(568\) 1.84231 1.84231i 0.0773017 0.0773017i
\(569\) 2.48906 7.66055i 0.104347 0.321147i −0.885230 0.465154i \(-0.845999\pi\)
0.989577 + 0.144007i \(0.0459988\pi\)
\(570\) −16.3106 10.1685i −0.683178 0.425912i
\(571\) −6.28765 19.3514i −0.263130 0.809831i −0.992118 0.125305i \(-0.960009\pi\)
0.728988 0.684526i \(-0.239991\pi\)
\(572\) 6.69511 + 3.41133i 0.279937 + 0.142635i
\(573\) −0.958149 + 0.380590i −0.0400273 + 0.0158994i
\(574\) 4.62714i 0.193133i
\(575\) −5.57035 + 38.6150i −0.232300 + 1.61036i
\(576\) −2.71164 + 1.28337i −0.112985 + 0.0534736i
\(577\) −5.77419 36.4568i −0.240383 1.51772i −0.752380 0.658729i \(-0.771094\pi\)
0.511997 0.858987i \(-0.328906\pi\)
\(578\) 7.21861 14.1673i 0.300255 0.589283i
\(579\) −19.4617 32.8247i −0.808803 1.36415i
\(580\) 5.51555 2.85847i 0.229021 0.118692i
\(581\) 40.1550 + 13.0472i 1.66591 + 0.541287i
\(582\) 23.3249 + 14.7661i 0.966846 + 0.612074i
\(583\) −6.85089 13.4456i −0.283735 0.556861i
\(584\) 7.22850 5.25182i 0.299118 0.217322i
\(585\) 9.83895 + 10.2876i 0.406790 + 0.425339i
\(586\) −6.51428 4.73290i −0.269102 0.195514i
\(587\) 4.84574 30.5948i 0.200005 1.26278i −0.659520 0.751687i \(-0.729240\pi\)
0.859525 0.511094i \(-0.170760\pi\)
\(588\) −14.6205 + 0.936154i −0.602940 + 0.0386063i
\(589\) −4.33213 + 5.96267i −0.178502 + 0.245688i
\(590\) 8.38153 + 11.3702i 0.345062 + 0.468103i
\(591\) 3.22713 3.66867i 0.132746 0.150909i
\(592\) −0.966718 + 0.492567i −0.0397319 + 0.0202444i
\(593\) 21.6044 + 21.6044i 0.887186 + 0.887186i 0.994252 0.107066i \(-0.0341455\pi\)
−0.107066 + 0.994252i \(0.534146\pi\)
\(594\) 6.29024 + 17.2908i 0.258092 + 0.709449i
\(595\) −8.24311 4.12860i −0.337934 0.169256i
\(596\) −14.4348 + 4.69016i −0.591273 + 0.192116i
\(597\) −17.5915 4.49590i −0.719971 0.184005i
\(598\) −16.3544 + 2.59028i −0.668780 + 0.105924i
\(599\) 32.5862 1.33144 0.665718 0.746204i \(-0.268126\pi\)
0.665718 + 0.746204i \(0.268126\pi\)
\(600\) 0.686230 8.63302i 0.0280152 0.352442i
\(601\) 25.6991 1.04829 0.524144 0.851630i \(-0.324386\pi\)
0.524144 + 0.851630i \(0.324386\pi\)
\(602\) −45.3092 + 7.17626i −1.84666 + 0.292483i
\(603\) −27.9054 0.814897i −1.13640 0.0331852i
\(604\) 12.4569 4.04749i 0.506863 0.164690i
\(605\) −3.39389 + 0.561597i −0.137981 + 0.0228322i
\(606\) 4.80302 + 0.448635i 0.195109 + 0.0182246i
\(607\) 6.64949 + 6.64949i 0.269894 + 0.269894i 0.829058 0.559163i \(-0.188877\pi\)
−0.559163 + 0.829058i \(0.688877\pi\)
\(608\) −4.42186 + 2.25305i −0.179330 + 0.0913732i
\(609\) −14.2056 12.4959i −0.575639 0.506358i
\(610\) 1.75893 2.45646i 0.0712168 0.0994591i
\(611\) 14.4115 19.8357i 0.583027 0.802469i
\(612\) 0.884395 + 3.01905i 0.0357496 + 0.122038i
\(613\) −4.00713 + 25.3000i −0.161846 + 1.02186i 0.764346 + 0.644807i \(0.223062\pi\)
−0.926192 + 0.377052i \(0.876938\pi\)
\(614\) −7.52651 5.46833i −0.303745 0.220684i
\(615\) 1.02993 + 4.44012i 0.0415310 + 0.179043i
\(616\) −11.2632 + 8.18320i −0.453808 + 0.329711i
\(617\) −20.5976 40.4250i −0.829227 1.62745i −0.777580 0.628785i \(-0.783553\pi\)
−0.0516476 0.998665i \(-0.516447\pi\)
\(618\) −10.3772 + 16.3921i −0.417433 + 0.659387i
\(619\) −42.4716 13.7999i −1.70708 0.554663i −0.717235 0.696831i \(-0.754593\pi\)
−0.989843 + 0.142168i \(0.954593\pi\)
\(620\) −3.28344 0.496822i −0.131866 0.0199528i
\(621\) −33.6100 22.6779i −1.34872 0.910035i
\(622\) 5.17155 10.1497i 0.207360 0.406967i
\(623\) 1.62786 + 10.2779i 0.0652189 + 0.411776i
\(624\) 3.58608 0.805769i 0.143558 0.0322566i
\(625\) 20.6237 + 14.1303i 0.824946 + 0.565211i
\(626\) 23.9326i 0.956539i
\(627\) 11.2362 + 28.2874i 0.448729 + 1.12969i
\(628\) −7.72488 3.93602i −0.308256 0.157064i
\(629\) 0.351583 + 1.08206i 0.0140185 + 0.0431446i
\(630\) −25.2593 + 7.58925i −1.00636 + 0.302363i
\(631\) −12.3680 + 38.0648i −0.492363 + 1.51534i 0.328664 + 0.944447i \(0.393402\pi\)
−0.821027 + 0.570890i \(0.806598\pi\)
\(632\) −10.7364 + 10.7364i −0.427073 + 0.427073i
\(633\) −2.81754 + 2.33615i −0.111987 + 0.0928536i
\(634\) 7.88706 + 10.8556i 0.313235 + 0.431131i
\(635\) 42.8689 0.296112i 1.70120 0.0117508i
\(636\) −6.77757 2.92398i −0.268748 0.115943i
\(637\) 17.7282 + 2.80788i 0.702418 + 0.111252i
\(638\) −9.71642 1.53893i −0.384677 0.0609268i
\(639\) −7.68105 1.44756i −0.303858 0.0572645i
\(640\) −1.81805 1.30180i −0.0718648 0.0514582i
\(641\) 8.86726 + 12.2047i 0.350236 + 0.482058i 0.947396 0.320064i \(-0.103704\pi\)
−0.597160 + 0.802122i \(0.703704\pi\)
\(642\) −5.60191 6.75624i −0.221090 0.266648i
\(643\) 28.2993 28.2993i 1.11602 1.11602i 0.123696 0.992320i \(-0.460525\pi\)
0.992320 0.123696i \(-0.0394747\pi\)
\(644\) 9.48034 29.1775i 0.373578 1.14975i
\(645\) −41.8806 + 16.9714i −1.64905 + 0.668248i
\(646\) 1.60817 + 4.94945i 0.0632728 + 0.194734i
\(647\) −16.2495 8.27955i −0.638835 0.325503i 0.104398 0.994536i \(-0.466709\pi\)
−0.743233 + 0.669033i \(0.766709\pi\)
\(648\) 7.76696 + 4.54690i 0.305115 + 0.178619i
\(649\) 22.3688i 0.878051i
\(650\) −3.13903 + 10.1353i −0.123123 + 0.397538i
\(651\) 2.21716 + 9.86750i 0.0868974 + 0.386738i
\(652\) 0.771116 + 4.86864i 0.0301992 + 0.190671i
\(653\) 11.3587 22.2926i 0.444499 0.872379i −0.554688 0.832059i \(-0.687162\pi\)
0.999187 0.0403201i \(-0.0128378\pi\)
\(654\) 15.0120 8.90057i 0.587014 0.348040i
\(655\) −12.0211 + 24.0011i −0.469703 + 0.937802i
\(656\) 1.11927 + 0.363674i 0.0437003 + 0.0141991i
\(657\) −25.2402 9.02373i −0.984714 0.352049i
\(658\) 20.6236 + 40.4762i 0.803993 + 1.57793i
\(659\) 20.1677 14.6527i 0.785623 0.570789i −0.121038 0.992648i \(-0.538622\pi\)
0.906661 + 0.421859i \(0.138622\pi\)
\(660\) −8.98652 + 10.3595i −0.349800 + 0.403242i
\(661\) −17.0562 12.3921i −0.663411 0.481996i 0.204402 0.978887i \(-0.434475\pi\)
−0.867813 + 0.496891i \(0.834475\pi\)
\(662\) −1.13607 + 7.17284i −0.0441545 + 0.278780i
\(663\) −0.246286 3.84640i −0.00956494 0.149382i
\(664\) 6.31204 8.68777i 0.244955 0.337151i
\(665\) −41.4011 + 13.7689i −1.60547 + 0.533935i
\(666\) 2.85578 + 1.56173i 0.110659 + 0.0605157i
\(667\) 19.3154 9.84171i 0.747897 0.381072i
\(668\) −5.82145 5.82145i −0.225239 0.225239i
\(669\) 1.71519 18.3625i 0.0663129 0.709936i
\(670\) −9.57462 18.4747i −0.369900 0.713738i
\(671\) −4.55020 + 1.47845i −0.175659 + 0.0570750i
\(672\) −1.68623 + 6.59787i −0.0650479 + 0.254518i
\(673\) 11.5267 1.82565i 0.444321 0.0703736i 0.0697348 0.997566i \(-0.477785\pi\)
0.374586 + 0.927192i \(0.377785\pi\)
\(674\) −25.4632 −0.980806
\(675\) −22.5492 + 12.9049i −0.867917 + 0.496709i
\(676\) 8.49691 0.326804
\(677\) −23.2090 + 3.67594i −0.891993 + 0.141278i −0.585574 0.810619i \(-0.699131\pi\)
−0.306419 + 0.951897i \(0.599131\pi\)
\(678\) −1.61382 + 6.31453i −0.0619783 + 0.242508i
\(679\) 59.5978 19.3645i 2.28715 0.743142i
\(680\) −1.64655 + 1.66946i −0.0631425 + 0.0640209i
\(681\) −0.222181 + 2.37864i −0.00851400 + 0.0911495i
\(682\) 3.71848 + 3.71848i 0.142388 + 0.142388i
\(683\) 15.4895 7.89232i 0.592691 0.301991i −0.131799 0.991276i \(-0.542075\pi\)
0.724490 + 0.689285i \(0.242075\pi\)
\(684\) 13.0626 + 7.14349i 0.499462 + 0.273138i
\(685\) 17.9157 + 5.68465i 0.684523 + 0.217199i
\(686\) −3.37046 + 4.63905i −0.128685 + 0.177120i
\(687\) 1.83712 + 28.6914i 0.0700904 + 1.09465i
\(688\) −1.82522 + 11.5240i −0.0695859 + 0.439348i
\(689\) 7.31630 + 5.31560i 0.278729 + 0.202508i
\(690\) 2.60269 30.1084i 0.0990826 1.14621i
\(691\) 3.69930 2.68770i 0.140728 0.102245i −0.515194 0.857074i \(-0.672280\pi\)
0.655922 + 0.754829i \(0.272280\pi\)
\(692\) 2.07127 + 4.06510i 0.0787380 + 0.154532i
\(693\) 39.3284 + 14.0605i 1.49396 + 0.534113i
\(694\) −4.36272 1.41754i −0.165607 0.0538089i
\(695\) −4.24173 4.18354i −0.160898 0.158691i
\(696\) −4.13917 + 2.45411i −0.156895 + 0.0930227i
\(697\) 0.560278 1.09961i 0.0212220 0.0416506i
\(698\) −1.58650 10.0167i −0.0600498 0.379139i
\(699\) 9.42614 + 41.9511i 0.356529 + 1.58674i
\(700\) −14.0914 13.7074i −0.532606 0.518090i
\(701\) 44.4087i 1.67729i −0.544676 0.838646i \(-0.683348\pi\)
0.544676 0.838646i \(-0.316652\pi\)
\(702\) −8.06308 7.52132i −0.304321 0.283874i
\(703\) 4.79760 + 2.44450i 0.180945 + 0.0921960i
\(704\) 1.09422 + 3.36766i 0.0412399 + 0.126923i
\(705\) 28.7995 + 34.2497i 1.08465 + 1.28992i
\(706\) 3.77806 11.6277i 0.142189 0.437614i
\(707\) 7.74297 7.74297i 0.291204 0.291204i
\(708\) −6.98381 8.42290i −0.262468 0.316552i
\(709\) −10.6950 14.7204i −0.401659 0.552836i 0.559500 0.828830i \(-0.310993\pi\)
−0.961159 + 0.275994i \(0.910993\pi\)
\(710\) −1.83853 5.52819i −0.0689988 0.207469i
\(711\) 44.7629 + 8.43593i 1.67874 + 0.316372i
\(712\) 2.61410 + 0.414033i 0.0979675 + 0.0155165i
\(713\) −11.4456 1.81280i −0.428640 0.0678900i
\(714\) 6.55700 + 2.82882i 0.245390 + 0.105866i
\(715\) 13.5246 9.96964i 0.505791 0.372844i
\(716\) −6.68853 9.20597i −0.249962 0.344043i
\(717\) 31.6759 26.2639i 1.18296 0.980844i
\(718\) 23.9500 23.9500i 0.893807 0.893807i
\(719\) 7.53117 23.1785i 0.280865 0.864414i −0.706743 0.707471i \(-0.749836\pi\)
0.987608 0.156943i \(-0.0501639\pi\)
\(720\) −0.149490 + 6.70654i −0.00557118 + 0.249938i
\(721\) 13.6089 + 41.8838i 0.506821 + 1.55984i
\(722\) 5.01554 + 2.55554i 0.186659 + 0.0951075i
\(723\) −4.03925 10.1690i −0.150221 0.378188i
\(724\) 6.52939i 0.242663i
\(725\) −0.191892 13.8897i −0.00712670 0.515851i
\(726\) 2.59982 0.584163i 0.0964885 0.0216803i
\(727\) −7.37431 46.5595i −0.273498 1.72680i −0.616405 0.787429i \(-0.711412\pi\)
0.342907 0.939369i \(-0.388588\pi\)
\(728\) 3.78778 7.43394i 0.140385 0.275520i
\(729\) −1.87494 26.9348i −0.0694422 0.997586i
\(730\) −3.26164 19.7111i −0.120719 0.729539i
\(731\) 11.6363 + 3.78088i 0.430385 + 0.139841i
\(732\) −1.25178 + 1.97734i −0.0462670 + 0.0730845i
\(733\) 21.4583 + 42.1144i 0.792582 + 1.55553i 0.831003 + 0.556268i \(0.187767\pi\)
−0.0384204 + 0.999262i \(0.512233\pi\)
\(734\) −3.84568 + 2.79405i −0.141947 + 0.103130i
\(735\) −12.7688 + 30.1684i −0.470986 + 1.11278i
\(736\) −6.31272 4.58646i −0.232690 0.169059i
\(737\) −5.15473 + 32.5457i −0.189877 + 1.19884i
\(738\) −0.992543 3.38823i −0.0365360 0.124723i
\(739\) −14.8135 + 20.3891i −0.544925 + 0.750025i −0.989313 0.145810i \(-0.953421\pi\)
0.444388 + 0.895835i \(0.353421\pi\)
\(740\) 0.0167574 + 2.42601i 0.000616015 + 0.0891821i
\(741\) −13.6959 12.0475i −0.503131 0.442577i
\(742\) −14.9294 + 7.60691i −0.548075 + 0.279258i
\(743\) 35.5509 + 35.5509i 1.30424 + 1.30424i 0.925507 + 0.378730i \(0.123639\pi\)
0.378730 + 0.925507i \(0.376361\pi\)
\(744\) 2.56114 + 0.239228i 0.0938960 + 0.00877054i
\(745\) −5.07746 + 33.5563i −0.186024 + 1.22941i
\(746\) 35.7760 11.6243i 1.30985 0.425597i
\(747\) −32.2023 0.940376i −1.17822 0.0344066i
\(748\) 3.66749 0.580873i 0.134097 0.0212388i
\(749\) −19.9226 −0.727958
\(750\) −16.5730 10.0168i −0.605159 0.365763i
\(751\) 13.6190 0.496964 0.248482 0.968636i \(-0.420068\pi\)
0.248482 + 0.968636i \(0.420068\pi\)
\(752\) 11.4118 1.80746i 0.416147 0.0659112i
\(753\) −23.2089 5.93157i −0.845781 0.216158i
\(754\) 5.60695 1.82181i 0.204193 0.0663463i
\(755\) 4.38172 28.9583i 0.159467 1.05390i
\(756\) 19.1989 6.98439i 0.698256 0.254020i
\(757\) 18.1299 + 18.1299i 0.658942 + 0.658942i 0.955130 0.296188i \(-0.0957154\pi\)
−0.296188 + 0.955130i \(0.595715\pi\)
\(758\) 14.4898 7.38292i 0.526293 0.268160i
\(759\) −31.6082 + 35.9328i −1.14730 + 1.30428i
\(760\) 0.0766500 + 11.0968i 0.00278039 + 0.402524i
\(761\) −20.5807 + 28.3270i −0.746052 + 1.02685i 0.252196 + 0.967676i \(0.418847\pi\)
−0.998248 + 0.0591757i \(0.981153\pi\)
\(762\) −33.1390 + 2.12190i −1.20050 + 0.0768683i
\(763\) 6.19733 39.1284i 0.224358 1.41654i
\(764\) 0.481552 + 0.349868i 0.0174219 + 0.0126578i
\(765\) 6.92164 + 1.25500i 0.250253 + 0.0453745i
\(766\) −25.6681 + 18.6490i −0.927426 + 0.673814i
\(767\) 6.08587 + 11.9442i 0.219748 + 0.431280i
\(768\) 1.46345 + 0.926454i 0.0528077 + 0.0334305i
\(769\) −23.9043 7.76696i −0.862010 0.280084i −0.155542 0.987829i \(-0.549712\pi\)
−0.706468 + 0.707745i \(0.749712\pi\)
\(770\) 5.08218 + 30.7131i 0.183149 + 1.10682i
\(771\) 16.2344 + 27.3815i 0.584669 + 0.986119i
\(772\) −10.0023 + 19.6306i −0.359991 + 0.706522i
\(773\) 4.41320 + 27.8639i 0.158732 + 1.00219i 0.930501 + 0.366290i