Properties

Label 966.2.s.a.97.4
Level $966$
Weight $2$
Character 966.97
Analytic conductor $7.714$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $4$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 966.s (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.71354883526\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(16\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 97.4
Character \(\chi\) \(=\) 966.97
Dual form 966.2.s.a.727.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.959493 - 0.281733i) q^{2} +(-0.755750 - 0.654861i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.0153446 - 0.106724i) q^{5} +(0.540641 + 0.841254i) q^{6} +(-1.90691 - 1.83403i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(0.142315 + 0.989821i) q^{9} +O(q^{10})\) \(q+(-0.959493 - 0.281733i) q^{2} +(-0.755750 - 0.654861i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.0153446 - 0.106724i) q^{5} +(0.540641 + 0.841254i) q^{6} +(-1.90691 - 1.83403i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(0.142315 + 0.989821i) q^{9} +(-0.0447907 + 0.0980779i) q^{10} +(-0.605838 - 2.06330i) q^{11} +(-0.281733 - 0.959493i) q^{12} +(0.737982 + 0.337025i) q^{13} +(1.31296 + 2.29698i) q^{14} +(-0.0814861 + 0.0706081i) q^{15} +(0.415415 + 0.909632i) q^{16} +(-2.64382 + 1.69908i) q^{17} +(0.142315 - 0.989821i) q^{18} +(-4.49952 - 2.89167i) q^{19} +(0.0706081 - 0.0814861i) q^{20} +(0.240114 + 2.63483i) q^{21} +2.15040i q^{22} +(3.88448 + 2.81262i) q^{23} +1.00000i q^{24} +(4.78631 + 1.40539i) q^{25} +(-0.613137 - 0.531287i) q^{26} +(0.540641 - 0.841254i) q^{27} +(-0.612646 - 2.57384i) q^{28} +(-7.56227 + 4.85998i) q^{29} +(0.0980779 - 0.0447907i) q^{30} +(5.87795 - 5.09327i) q^{31} +(-0.142315 - 0.989821i) q^{32} +(-0.893309 + 1.95607i) q^{33} +(3.01542 - 0.885406i) q^{34} +(-0.224996 + 0.175371i) q^{35} +(-0.415415 + 0.909632i) q^{36} +(-6.91847 + 0.994726i) q^{37} +(3.50258 + 4.04219i) q^{38} +(-0.337025 - 0.737982i) q^{39} +(-0.0907052 + 0.0582927i) q^{40} +(-10.8479 - 1.55970i) q^{41} +(0.511931 - 2.59575i) q^{42} +(3.89938 + 3.37883i) q^{43} +(0.605838 - 2.06330i) q^{44} +0.107822 q^{45} +(-2.93472 - 3.79307i) q^{46} +5.19392i q^{47} +(0.281733 - 0.959493i) q^{48} +(0.272648 + 6.99469i) q^{49} +(-4.19649 - 2.69692i) q^{50} +(3.11073 + 0.447255i) q^{51} +(0.438620 + 0.682506i) q^{52} +(-5.98440 + 2.73298i) q^{53} +(-0.755750 + 0.654861i) q^{54} +(-0.229500 + 0.0329971i) q^{55} +(-0.137306 + 2.64219i) q^{56} +(1.50687 + 5.13193i) q^{57} +(8.62516 - 2.53258i) q^{58} +(-1.18795 - 0.542521i) q^{59} +(-0.106724 + 0.0153446i) q^{60} +(-0.503527 - 0.581101i) q^{61} +(-7.07479 + 3.23095i) q^{62} +(1.54398 - 2.14852i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(0.0472927 - 0.0735889i) q^{65} +(1.40821 - 1.62517i) q^{66} +(-3.01781 + 10.2777i) q^{67} -3.14272 q^{68} +(-1.09382 - 4.66943i) q^{69} +(0.265290 - 0.104879i) q^{70} +(1.55575 + 0.456809i) q^{71} +(0.654861 - 0.755750i) q^{72} +(4.28281 - 6.66418i) q^{73} +(6.91847 + 0.994726i) q^{74} +(-2.69692 - 4.19649i) q^{75} +(-2.22188 - 4.86525i) q^{76} +(-2.62887 + 5.04566i) q^{77} +(0.115460 + 0.803039i) q^{78} +(0.0576276 + 0.0263176i) q^{79} +(0.103454 - 0.0303768i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(9.96911 + 4.55274i) q^{82} +(0.979751 + 6.81432i) q^{83} +(-1.22250 + 2.34638i) q^{84} +(0.140764 + 0.308231i) q^{85} +(-2.78950 - 4.34055i) q^{86} +(8.89779 + 1.27931i) q^{87} +(-1.16260 + 1.80903i) q^{88} +(-9.03413 + 10.4259i) q^{89} +(-0.103454 - 0.0303768i) q^{90} +(-0.789153 - 1.99616i) q^{91} +(1.74721 + 4.46623i) q^{92} -7.77764 q^{93} +(1.46330 - 4.98353i) q^{94} +(-0.377653 + 0.435835i) q^{95} +(-0.540641 + 0.841254i) q^{96} +(-0.499783 + 3.47606i) q^{97} +(1.70903 - 6.78817i) q^{98} +(1.95607 - 0.893309i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160q - 16q^{2} - 16q^{4} - 16q^{8} + 16q^{9} + O(q^{10}) \) \( 160q - 16q^{2} - 16q^{4} - 16q^{8} + 16q^{9} - 22q^{14} - 16q^{16} + 16q^{18} - 36q^{23} + 96q^{25} + 22q^{28} - 20q^{29} - 16q^{32} - 50q^{35} + 16q^{36} + 22q^{37} + 4q^{39} - 110q^{43} + 8q^{46} - 36q^{50} + 22q^{51} - 88q^{53} + 22q^{57} + 24q^{58} - 16q^{64} - 72q^{70} + 48q^{71} + 16q^{72} - 22q^{74} + 24q^{77} + 4q^{78} + 88q^{79} - 16q^{81} + 22q^{84} + 76q^{85} + 44q^{86} - 44q^{88} + 8q^{92} - 14q^{95} + 22q^{98} - 22q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(829\) \(925\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{1}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.959493 0.281733i −0.678464 0.199215i
\(3\) −0.755750 0.654861i −0.436332 0.378084i
\(4\) 0.841254 + 0.540641i 0.420627 + 0.270320i
\(5\) 0.0153446 0.106724i 0.00686231 0.0477284i −0.986103 0.166138i \(-0.946870\pi\)
0.992965 + 0.118409i \(0.0377795\pi\)
\(6\) 0.540641 + 0.841254i 0.220716 + 0.343440i
\(7\) −1.90691 1.83403i −0.720746 0.693199i
\(8\) −0.654861 0.755750i −0.231528 0.267198i
\(9\) 0.142315 + 0.989821i 0.0474383 + 0.329940i
\(10\) −0.0447907 + 0.0980779i −0.0141641 + 0.0310150i
\(11\) −0.605838 2.06330i −0.182667 0.622107i −0.999008 0.0445363i \(-0.985819\pi\)
0.816341 0.577571i \(-0.195999\pi\)
\(12\) −0.281733 0.959493i −0.0813292 0.276982i
\(13\) 0.737982 + 0.337025i 0.204679 + 0.0934739i 0.515117 0.857120i \(-0.327748\pi\)
−0.310438 + 0.950594i \(0.600476\pi\)
\(14\) 1.31296 + 2.29698i 0.350905 + 0.613894i
\(15\) −0.0814861 + 0.0706081i −0.0210396 + 0.0182309i
\(16\) 0.415415 + 0.909632i 0.103854 + 0.227408i
\(17\) −2.64382 + 1.69908i −0.641221 + 0.412088i −0.820449 0.571720i \(-0.806276\pi\)
0.179228 + 0.983808i \(0.442640\pi\)
\(18\) 0.142315 0.989821i 0.0335439 0.233303i
\(19\) −4.49952 2.89167i −1.03226 0.663393i −0.0891996 0.996014i \(-0.528431\pi\)
−0.943061 + 0.332620i \(0.892067\pi\)
\(20\) 0.0706081 0.0814861i 0.0157884 0.0182208i
\(21\) 0.240114 + 2.63483i 0.0523972 + 0.574968i
\(22\) 2.15040i 0.458467i
\(23\) 3.88448 + 2.81262i 0.809970 + 0.586472i
\(24\) 1.00000i 0.204124i
\(25\) 4.78631 + 1.40539i 0.957262 + 0.281078i
\(26\) −0.613137 0.531287i −0.120246 0.104194i
\(27\) 0.540641 0.841254i 0.104046 0.161899i
\(28\) −0.612646 2.57384i −0.115779 0.486411i
\(29\) −7.56227 + 4.85998i −1.40428 + 0.902475i −0.999926 0.0121279i \(-0.996139\pi\)
−0.404352 + 0.914603i \(0.632503\pi\)
\(30\) 0.0980779 0.0447907i 0.0179065 0.00817762i
\(31\) 5.87795 5.09327i 1.05571 0.914778i 0.0592000 0.998246i \(-0.481145\pi\)
0.996510 + 0.0834678i \(0.0265996\pi\)
\(32\) −0.142315 0.989821i −0.0251579 0.174977i
\(33\) −0.893309 + 1.95607i −0.155505 + 0.340509i
\(34\) 3.01542 0.885406i 0.517140 0.151846i
\(35\) −0.224996 + 0.175371i −0.0380313 + 0.0296431i
\(36\) −0.415415 + 0.909632i −0.0692358 + 0.151605i
\(37\) −6.91847 + 0.994726i −1.13739 + 0.163532i −0.685176 0.728378i \(-0.740275\pi\)
−0.452214 + 0.891910i \(0.649366\pi\)
\(38\) 3.50258 + 4.04219i 0.568194 + 0.655730i
\(39\) −0.337025 0.737982i −0.0539672 0.118172i
\(40\) −0.0907052 + 0.0582927i −0.0143418 + 0.00921689i
\(41\) −10.8479 1.55970i −1.69416 0.243584i −0.773460 0.633845i \(-0.781476\pi\)
−0.920704 + 0.390260i \(0.872385\pi\)
\(42\) 0.511931 2.59575i 0.0789926 0.400533i
\(43\) 3.89938 + 3.37883i 0.594650 + 0.515267i 0.899378 0.437172i \(-0.144020\pi\)
−0.304728 + 0.952440i \(0.598565\pi\)
\(44\) 0.605838 2.06330i 0.0913336 0.311054i
\(45\) 0.107822 0.0160731
\(46\) −2.93472 3.79307i −0.432701 0.559258i
\(47\) 5.19392i 0.757611i 0.925476 + 0.378806i \(0.123665\pi\)
−0.925476 + 0.378806i \(0.876335\pi\)
\(48\) 0.281733 0.959493i 0.0406646 0.138491i
\(49\) 0.272648 + 6.99469i 0.0389497 + 0.999241i
\(50\) −4.19649 2.69692i −0.593473 0.381402i
\(51\) 3.11073 + 0.447255i 0.435589 + 0.0626283i
\(52\) 0.438620 + 0.682506i 0.0608257 + 0.0946466i
\(53\) −5.98440 + 2.73298i −0.822020 + 0.375404i −0.781601 0.623779i \(-0.785597\pi\)
−0.0404192 + 0.999183i \(0.512869\pi\)
\(54\) −0.755750 + 0.654861i −0.102844 + 0.0891153i
\(55\) −0.229500 + 0.0329971i −0.0309457 + 0.00444932i
\(56\) −0.137306 + 2.64219i −0.0183483 + 0.353077i
\(57\) 1.50687 + 5.13193i 0.199590 + 0.679741i
\(58\) 8.62516 2.53258i 1.13254 0.332544i
\(59\) −1.18795 0.542521i −0.154659 0.0706302i 0.336582 0.941654i \(-0.390729\pi\)
−0.491240 + 0.871024i \(0.663456\pi\)
\(60\) −0.106724 + 0.0153446i −0.0137780 + 0.00198098i
\(61\) −0.503527 0.581101i −0.0644700 0.0744024i 0.722598 0.691268i \(-0.242948\pi\)
−0.787068 + 0.616866i \(0.788402\pi\)
\(62\) −7.07479 + 3.23095i −0.898499 + 0.410331i
\(63\) 1.54398 2.14852i 0.194524 0.270687i
\(64\) −0.142315 + 0.989821i −0.0177894 + 0.123728i
\(65\) 0.0472927 0.0735889i 0.00586594 0.00912758i
\(66\) 1.40821 1.62517i 0.173339 0.200044i
\(67\) −3.01781 + 10.2777i −0.368684 + 1.25562i 0.541247 + 0.840864i \(0.317952\pi\)
−0.909931 + 0.414759i \(0.863866\pi\)
\(68\) −3.14272 −0.381111
\(69\) −1.09382 4.66943i −0.131680 0.562133i
\(70\) 0.265290 0.104879i 0.0317082 0.0125354i
\(71\) 1.55575 + 0.456809i 0.184633 + 0.0542133i 0.372742 0.927935i \(-0.378418\pi\)
−0.188109 + 0.982148i \(0.560236\pi\)
\(72\) 0.654861 0.755750i 0.0771761 0.0890659i
\(73\) 4.28281 6.66418i 0.501265 0.779983i −0.494763 0.869028i \(-0.664745\pi\)
0.996028 + 0.0890447i \(0.0283814\pi\)
\(74\) 6.91847 + 0.994726i 0.804256 + 0.115635i
\(75\) −2.69692 4.19649i −0.311413 0.484569i
\(76\) −2.22188 4.86525i −0.254868 0.558082i
\(77\) −2.62887 + 5.04566i −0.299588 + 0.575006i
\(78\) 0.115460 + 0.803039i 0.0130732 + 0.0909263i
\(79\) 0.0576276 + 0.0263176i 0.00648361 + 0.00296096i 0.418654 0.908146i \(-0.362502\pi\)
−0.412171 + 0.911107i \(0.635229\pi\)
\(80\) 0.103454 0.0303768i 0.0115665 0.00339623i
\(81\) −0.959493 + 0.281733i −0.106610 + 0.0313036i
\(82\) 9.96911 + 4.55274i 1.10090 + 0.502766i
\(83\) 0.979751 + 6.81432i 0.107542 + 0.747969i 0.970222 + 0.242219i \(0.0778751\pi\)
−0.862680 + 0.505750i \(0.831216\pi\)
\(84\) −1.22250 + 2.34638i −0.133386 + 0.256011i
\(85\) 0.140764 + 0.308231i 0.0152680 + 0.0334324i
\(86\) −2.78950 4.34055i −0.300800 0.468054i
\(87\) 8.89779 + 1.27931i 0.953944 + 0.137156i
\(88\) −1.16260 + 1.80903i −0.123933 + 0.192844i
\(89\) −9.03413 + 10.4259i −0.957616 + 1.10515i 0.0367687 + 0.999324i \(0.488294\pi\)
−0.994385 + 0.105824i \(0.966252\pi\)
\(90\) −0.103454 0.0303768i −0.0109050 0.00320200i
\(91\) −0.789153 1.99616i −0.0827258 0.209254i
\(92\) 1.74721 + 4.46623i 0.182160 + 0.465637i
\(93\) −7.77764 −0.806504
\(94\) 1.46330 4.98353i 0.150928 0.514012i
\(95\) −0.377653 + 0.435835i −0.0387464 + 0.0447158i
\(96\) −0.540641 + 0.841254i −0.0551789 + 0.0858601i
\(97\) −0.499783 + 3.47606i −0.0507452 + 0.352941i 0.948591 + 0.316505i \(0.102509\pi\)
−0.999336 + 0.0364356i \(0.988400\pi\)
\(98\) 1.70903 6.78817i 0.172638 0.685709i
\(99\) 1.95607 0.893309i 0.196593 0.0897810i
\(100\) 3.26669 + 3.76996i 0.326669 + 0.376996i
\(101\) 7.95327 1.14351i 0.791380 0.113783i 0.265242 0.964182i \(-0.414548\pi\)
0.526139 + 0.850399i \(0.323639\pi\)
\(102\) −2.85872 1.30553i −0.283055 0.129267i
\(103\) −16.7913 + 4.93038i −1.65450 + 0.485804i −0.969979 0.243191i \(-0.921806\pi\)
−0.684519 + 0.728995i \(0.739988\pi\)
\(104\) −0.228569 0.778434i −0.0224130 0.0763317i
\(105\) 0.284884 + 0.0148045i 0.0278019 + 0.00144477i
\(106\) 6.51196 0.936278i 0.632497 0.0909394i
\(107\) −8.08932 + 7.00944i −0.782024 + 0.677628i −0.951412 0.307922i \(-0.900367\pi\)
0.169387 + 0.985550i \(0.445821\pi\)
\(108\) 0.909632 0.415415i 0.0875294 0.0399733i
\(109\) 4.40545 + 6.85501i 0.421965 + 0.656591i 0.985534 0.169478i \(-0.0542083\pi\)
−0.563569 + 0.826069i \(0.690572\pi\)
\(110\) 0.229500 + 0.0329971i 0.0218819 + 0.00314615i
\(111\) 5.88004 + 3.77887i 0.558109 + 0.358675i
\(112\) 0.876134 2.49648i 0.0827869 0.235895i
\(113\) −4.80510 + 16.3647i −0.452026 + 1.53946i 0.346825 + 0.937930i \(0.387260\pi\)
−0.798851 + 0.601529i \(0.794559\pi\)
\(114\) 5.34859i 0.500941i
\(115\) 0.359780 0.371409i 0.0335496 0.0346340i
\(116\) −8.98929 −0.834635
\(117\) −0.228569 + 0.778434i −0.0211312 + 0.0719662i
\(118\) 0.986988 + 0.855230i 0.0908597 + 0.0787303i
\(119\) 8.15772 + 1.60885i 0.747817 + 0.147483i
\(120\) 0.106724 + 0.0153446i 0.00974253 + 0.00140076i
\(121\) 5.36364 3.44700i 0.487604 0.313364i
\(122\) 0.319416 + 0.699422i 0.0289185 + 0.0633227i
\(123\) 7.17695 + 8.28264i 0.647123 + 0.746820i
\(124\) 7.69847 1.10687i 0.691343 0.0994002i
\(125\) 0.447386 0.979639i 0.0400154 0.0876215i
\(126\) −2.08675 + 1.62650i −0.185902 + 0.144900i
\(127\) −5.81926 + 1.70869i −0.516376 + 0.151622i −0.529529 0.848292i \(-0.677631\pi\)
0.0131530 + 0.999913i \(0.495813\pi\)
\(128\) 0.415415 0.909632i 0.0367178 0.0804009i
\(129\) −0.734291 5.10711i −0.0646507 0.449656i
\(130\) −0.0661094 + 0.0572841i −0.00579818 + 0.00502415i
\(131\) −19.2294 + 8.78179i −1.68008 + 0.767269i −0.680687 + 0.732575i \(0.738318\pi\)
−0.999398 + 0.0346943i \(0.988954\pi\)
\(132\) −1.80903 + 1.16260i −0.157456 + 0.101191i
\(133\) 3.27679 + 13.7664i 0.284134 + 1.19370i
\(134\) 5.79113 9.01118i 0.500278 0.778447i
\(135\) −0.0814861 0.0706081i −0.00701320 0.00607698i
\(136\) 3.01542 + 0.885406i 0.258570 + 0.0759229i
\(137\) 7.58310i 0.647868i −0.946080 0.323934i \(-0.894994\pi\)
0.946080 0.323934i \(-0.105006\pi\)
\(138\) −0.266018 + 4.78845i −0.0226450 + 0.407620i
\(139\) 14.8628i 1.26065i −0.776332 0.630324i \(-0.782922\pi\)
0.776332 0.630324i \(-0.217078\pi\)
\(140\) −0.284092 + 0.0258894i −0.0240101 + 0.00218806i
\(141\) 3.40129 3.92530i 0.286441 0.330570i
\(142\) −1.36403 0.876610i −0.114467 0.0735635i
\(143\) 0.248285 1.72686i 0.0207626 0.144407i
\(144\) −0.841254 + 0.540641i −0.0701045 + 0.0450534i
\(145\) 0.402636 + 0.881651i 0.0334371 + 0.0732171i
\(146\) −5.98684 + 5.18763i −0.495475 + 0.429331i
\(147\) 4.37449 5.46478i 0.360802 0.450727i
\(148\) −6.35798 2.90359i −0.522623 0.238674i
\(149\) −3.30828 11.2670i −0.271025 0.923026i −0.976721 0.214512i \(-0.931184\pi\)
0.705696 0.708514i \(-0.250634\pi\)
\(150\) 1.40539 + 4.78631i 0.114749 + 0.390801i
\(151\) 9.86178 21.5943i 0.802540 1.75732i 0.165921 0.986139i \(-0.446940\pi\)
0.636619 0.771179i \(-0.280333\pi\)
\(152\) 0.761183 + 5.29415i 0.0617401 + 0.429412i
\(153\) −2.05804 2.37511i −0.166383 0.192016i
\(154\) 3.94391 4.10063i 0.317809 0.330438i
\(155\) −0.453380 0.705472i −0.0364163 0.0566649i
\(156\) 0.115460 0.803039i 0.00924417 0.0642946i
\(157\) −4.58505 2.94663i −0.365927 0.235167i 0.344736 0.938700i \(-0.387968\pi\)
−0.710663 + 0.703533i \(0.751605\pi\)
\(158\) −0.0478787 0.0414871i −0.00380903 0.00330054i
\(159\) 6.31243 + 1.85350i 0.500608 + 0.146992i
\(160\) −0.107822 −0.00852404
\(161\) −2.24893 12.4877i −0.177241 0.984168i
\(162\) 1.00000 0.0785674
\(163\) 16.4357 + 4.82595i 1.28734 + 0.377997i 0.852603 0.522560i \(-0.175023\pi\)
0.434738 + 0.900557i \(0.356841\pi\)
\(164\) −8.28264 7.17695i −0.646765 0.560425i
\(165\) 0.195053 + 0.125353i 0.0151848 + 0.00975870i
\(166\) 0.979751 6.81432i 0.0760434 0.528894i
\(167\) 0.139867 + 0.217637i 0.0108232 + 0.0168412i 0.846623 0.532193i \(-0.178632\pi\)
−0.835800 + 0.549034i \(0.814996\pi\)
\(168\) 1.83403 1.90691i 0.141499 0.147122i
\(169\) −8.08216 9.32731i −0.621704 0.717485i
\(170\) −0.0482238 0.335404i −0.00369859 0.0257243i
\(171\) 2.22188 4.86525i 0.169912 0.372055i
\(172\) 1.45363 + 4.95062i 0.110839 + 0.377481i
\(173\) −0.576865 1.96462i −0.0438582 0.149367i 0.934653 0.355561i \(-0.115710\pi\)
−0.978511 + 0.206194i \(0.933892\pi\)
\(174\) −8.17695 3.73429i −0.619893 0.283096i
\(175\) −6.54956 11.4582i −0.495100 0.866159i
\(176\) 1.62517 1.40821i 0.122501 0.106148i
\(177\) 0.542521 + 1.18795i 0.0407784 + 0.0892921i
\(178\) 11.6055 7.45841i 0.869870 0.559032i
\(179\) 2.15848 15.0125i 0.161332 1.12209i −0.734794 0.678291i \(-0.762721\pi\)
0.896126 0.443800i \(-0.146370\pi\)
\(180\) 0.0907052 + 0.0582927i 0.00676077 + 0.00434488i
\(181\) −8.65526 + 9.98870i −0.643340 + 0.742454i −0.979962 0.199186i \(-0.936170\pi\)
0.336621 + 0.941640i \(0.390716\pi\)
\(182\) 0.194804 + 2.13763i 0.0144398 + 0.158452i
\(183\) 0.768907i 0.0568392i
\(184\) −0.418157 4.77757i −0.0308269 0.352207i
\(185\) 0.753631i 0.0554080i
\(186\) 7.46259 + 2.19121i 0.547184 + 0.160668i
\(187\) 5.10744 + 4.42562i 0.373493 + 0.323633i
\(188\) −2.80805 + 4.36940i −0.204798 + 0.318672i
\(189\) −2.57384 + 0.612646i −0.187219 + 0.0445634i
\(190\) 0.485145 0.311784i 0.0351961 0.0226192i
\(191\) 14.8833 6.79698i 1.07692 0.491812i 0.203646 0.979045i \(-0.434721\pi\)
0.873272 + 0.487232i \(0.161994\pi\)
\(192\) 0.755750 0.654861i 0.0545415 0.0472605i
\(193\) −1.59730 11.1095i −0.114976 0.799677i −0.962958 0.269652i \(-0.913091\pi\)
0.847982 0.530026i \(-0.177818\pi\)
\(194\) 1.45886 3.19445i 0.104740 0.229348i
\(195\) −0.0839319 + 0.0246446i −0.00601049 + 0.00176484i
\(196\) −3.55225 + 6.03171i −0.253732 + 0.430836i
\(197\) 3.82658 8.37904i 0.272632 0.596982i −0.722947 0.690903i \(-0.757213\pi\)
0.995580 + 0.0939216i \(0.0299403\pi\)
\(198\) −2.12851 + 0.306034i −0.151267 + 0.0217489i
\(199\) 9.77155 + 11.2770i 0.692687 + 0.799403i 0.987745 0.156076i \(-0.0498844\pi\)
−0.295058 + 0.955479i \(0.595339\pi\)
\(200\) −2.07225 4.53759i −0.146530 0.320856i
\(201\) 9.01118 5.79113i 0.635600 0.408475i
\(202\) −7.95327 1.14351i −0.559590 0.0804570i
\(203\) 23.3340 + 4.60189i 1.63772 + 0.322990i
\(204\) 2.37511 + 2.05804i 0.166291 + 0.144092i
\(205\) −0.332915 + 1.13380i −0.0232518 + 0.0791883i
\(206\) 17.5002 1.21930
\(207\) −2.23117 + 4.24522i −0.155077 + 0.295063i
\(208\) 0.811297i 0.0562533i
\(209\) −3.24038 + 11.0357i −0.224142 + 0.763357i
\(210\) −0.269174 0.0944661i −0.0185748 0.00651878i
\(211\) −7.49440 4.81636i −0.515935 0.331572i 0.256627 0.966511i \(-0.417389\pi\)
−0.772562 + 0.634939i \(0.781025\pi\)
\(212\) −6.51196 0.936278i −0.447243 0.0643038i
\(213\) −0.876610 1.36403i −0.0600643 0.0934619i
\(214\) 9.73644 4.44648i 0.665569 0.303955i
\(215\) 0.420437 0.364311i 0.0286736 0.0248458i
\(216\) −0.989821 + 0.142315i −0.0673488 + 0.00968330i
\(217\) −20.5500 1.06792i −1.39502 0.0724948i
\(218\) −2.29572 7.81849i −0.155486 0.529535i
\(219\) −7.60084 + 2.23181i −0.513617 + 0.150812i
\(220\) −0.210907 0.0963180i −0.0142193 0.00649376i
\(221\) −2.52373 + 0.362857i −0.169764 + 0.0244084i
\(222\) −4.57723 5.28240i −0.307203 0.354531i
\(223\) −13.8136 + 6.30845i −0.925025 + 0.422445i −0.820220 0.572048i \(-0.806149\pi\)
−0.104805 + 0.994493i \(0.533422\pi\)
\(224\) −1.54398 + 2.14852i −0.103162 + 0.143554i
\(225\) −0.709920 + 4.93760i −0.0473280 + 0.329173i
\(226\) 9.22092 14.3480i 0.613366 0.954417i
\(227\) 15.2776 17.6313i 1.01401 1.17023i 0.0286799 0.999589i \(-0.490870\pi\)
0.985333 0.170644i \(-0.0545849\pi\)
\(228\) −1.50687 + 5.13193i −0.0997950 + 0.339871i
\(229\) −21.5926 −1.42688 −0.713438 0.700718i \(-0.752863\pi\)
−0.713438 + 0.700718i \(0.752863\pi\)
\(230\) −0.449844 + 0.255002i −0.0296618 + 0.0168144i
\(231\) 5.29097 2.09171i 0.348120 0.137624i
\(232\) 8.62516 + 2.53258i 0.566270 + 0.166272i
\(233\) 4.86906 5.61920i 0.318983 0.368126i −0.573501 0.819205i \(-0.694415\pi\)
0.892484 + 0.451079i \(0.148961\pi\)
\(234\) 0.438620 0.682506i 0.0286735 0.0446168i
\(235\) 0.554316 + 0.0796986i 0.0361596 + 0.00519897i
\(236\) −0.706062 1.09865i −0.0459607 0.0715163i
\(237\) −0.0263176 0.0576276i −0.00170951 0.00374331i
\(238\) −7.37401 3.84198i −0.477986 0.249038i
\(239\) −4.20074 29.2168i −0.271723 1.88988i −0.430542 0.902570i \(-0.641678\pi\)
0.158819 0.987308i \(-0.449231\pi\)
\(240\) −0.0980779 0.0447907i −0.00633090 0.00289123i
\(241\) 24.8655 7.30117i 1.60173 0.470310i 0.645701 0.763590i \(-0.276565\pi\)
0.956026 + 0.293281i \(0.0947470\pi\)
\(242\) −6.11751 + 1.79626i −0.393248 + 0.115468i
\(243\) 0.909632 + 0.415415i 0.0583529 + 0.0266489i
\(244\) −0.109427 0.761081i −0.00700534 0.0487232i
\(245\) 0.750685 + 0.0782326i 0.0479595 + 0.00499810i
\(246\) −4.55274 9.96911i −0.290272 0.635607i
\(247\) −2.34600 3.65045i −0.149272 0.232272i
\(248\) −7.69847 1.10687i −0.488854 0.0702865i
\(249\) 3.72198 5.79152i 0.235871 0.367023i
\(250\) −0.705260 + 0.813913i −0.0446045 + 0.0514764i
\(251\) −7.59691 2.23066i −0.479513 0.140798i 0.0330387 0.999454i \(-0.489482\pi\)
−0.512552 + 0.858656i \(0.671300\pi\)
\(252\) 2.46046 0.972706i 0.154994 0.0612747i
\(253\) 3.44990 9.71882i 0.216893 0.611017i
\(254\) 6.06494 0.380548
\(255\) 0.0954658 0.325127i 0.00597830 0.0203602i
\(256\) −0.654861 + 0.755750i −0.0409288 + 0.0472343i
\(257\) 7.26871 11.3103i 0.453409 0.705519i −0.537015 0.843572i \(-0.680448\pi\)
0.990425 + 0.138054i \(0.0440846\pi\)
\(258\) −0.734291 + 5.10711i −0.0457150 + 0.317954i
\(259\) 15.0173 + 10.7918i 0.933129 + 0.670573i
\(260\) 0.0795703 0.0363385i 0.00493474 0.00225362i
\(261\) −5.88673 6.79365i −0.364380 0.420517i
\(262\) 20.9246 3.00851i 1.29273 0.185866i
\(263\) −23.4923 10.7286i −1.44860 0.661553i −0.472989 0.881068i \(-0.656825\pi\)
−0.975609 + 0.219515i \(0.929552\pi\)
\(264\) 2.06330 0.605838i 0.126987 0.0372868i
\(265\) 0.199847 + 0.680616i 0.0122765 + 0.0418099i
\(266\) 0.734393 14.1320i 0.0450285 0.866486i
\(267\) 13.6551 1.96330i 0.835678 0.120152i
\(268\) −8.09529 + 7.01461i −0.494499 + 0.428486i
\(269\) 13.1209 5.99212i 0.799996 0.365346i 0.0269025 0.999638i \(-0.491436\pi\)
0.773093 + 0.634292i \(0.218708\pi\)
\(270\) 0.0582927 + 0.0907052i 0.00354758 + 0.00552014i
\(271\) −1.90790 0.274314i −0.115897 0.0166634i 0.0841225 0.996455i \(-0.473191\pi\)
−0.200019 + 0.979792i \(0.564100\pi\)
\(272\) −2.64382 1.69908i −0.160305 0.103022i
\(273\) −0.710805 + 2.02538i −0.0430199 + 0.122582i
\(274\) −2.13641 + 7.27594i −0.129065 + 0.439555i
\(275\) 10.7270i 0.646863i
\(276\) 1.60430 4.51954i 0.0965678 0.272044i
\(277\) −3.74743 −0.225161 −0.112580 0.993643i \(-0.535912\pi\)
−0.112580 + 0.993643i \(0.535912\pi\)
\(278\) −4.18734 + 14.2608i −0.251140 + 0.855305i
\(279\) 5.87795 + 5.09327i 0.351903 + 0.304926i
\(280\) 0.279878 + 0.0551971i 0.0167259 + 0.00329866i
\(281\) −13.4540 1.93439i −0.802597 0.115396i −0.271204 0.962522i \(-0.587422\pi\)
−0.531392 + 0.847126i \(0.678331\pi\)
\(282\) −4.36940 + 2.80805i −0.260194 + 0.167217i
\(283\) 3.26978 + 7.15982i 0.194368 + 0.425607i 0.981574 0.191084i \(-0.0612002\pi\)
−0.787206 + 0.616691i \(0.788473\pi\)
\(284\) 1.06181 + 1.22539i 0.0630068 + 0.0727137i
\(285\) 0.570823 0.0820719i 0.0338126 0.00486152i
\(286\) −0.724739 + 1.58696i −0.0428547 + 0.0938388i
\(287\) 17.8256 + 22.8697i 1.05221 + 1.34996i
\(288\) 0.959493 0.281733i 0.0565387 0.0166013i
\(289\) −2.95913 + 6.47960i −0.174067 + 0.381153i
\(290\) −0.137937 0.959374i −0.00809994 0.0563364i
\(291\) 2.65405 2.29975i 0.155583 0.134813i
\(292\) 7.20586 3.29080i 0.421691 0.192580i
\(293\) 4.03640 2.59403i 0.235809 0.151545i −0.417400 0.908723i \(-0.637059\pi\)
0.653209 + 0.757178i \(0.273422\pi\)
\(294\) −5.73690 + 4.01098i −0.334583 + 0.233925i
\(295\) −0.0761287 + 0.118459i −0.00443238 + 0.00689692i
\(296\) 5.28240 + 4.57723i 0.307033 + 0.266046i
\(297\) −2.06330 0.605838i −0.119725 0.0351543i
\(298\) 11.7426i 0.680232i
\(299\) 1.91875 + 3.38483i 0.110964 + 0.195750i
\(300\) 4.98837i 0.288004i
\(301\) −1.23890 13.5947i −0.0714089 0.783588i
\(302\) −15.5461 + 17.9412i −0.894579 + 1.03240i
\(303\) −6.75952 4.34408i −0.388324 0.249561i
\(304\) 0.761183 5.29415i 0.0436569 0.303640i
\(305\) −0.0697439 + 0.0448217i −0.00399352 + 0.00256648i
\(306\) 1.30553 + 2.85872i 0.0746323 + 0.163422i
\(307\) −22.3146 + 19.3357i −1.27356 + 1.10355i −0.284092 + 0.958797i \(0.591692\pi\)
−0.989468 + 0.144749i \(0.953762\pi\)
\(308\) −4.93943 + 2.82340i −0.281450 + 0.160878i
\(309\) 15.9187 + 7.26984i 0.905585 + 0.413567i
\(310\) 0.236260 + 0.804628i 0.0134187 + 0.0456998i
\(311\) 5.89455 + 20.0750i 0.334249 + 1.13835i 0.939567 + 0.342364i \(0.111228\pi\)
−0.605318 + 0.795984i \(0.706954\pi\)
\(312\) −0.337025 + 0.737982i −0.0190803 + 0.0417800i
\(313\) 1.61685 + 11.2454i 0.0913898 + 0.635630i 0.983106 + 0.183035i \(0.0585923\pi\)
−0.891717 + 0.452594i \(0.850499\pi\)
\(314\) 3.56916 + 4.11903i 0.201419 + 0.232450i
\(315\) −0.205606 0.197748i −0.0115846 0.0111418i
\(316\) 0.0342510 + 0.0532956i 0.00192677 + 0.00299811i
\(317\) −4.03774 + 28.0831i −0.226782 + 1.57730i 0.484753 + 0.874651i \(0.338910\pi\)
−0.711535 + 0.702651i \(0.751999\pi\)
\(318\) −5.53454 3.55683i −0.310362 0.199457i
\(319\) 14.6091 + 12.6588i 0.817952 + 0.708759i
\(320\) 0.103454 + 0.0303768i 0.00578325 + 0.00169812i
\(321\) 10.7037 0.597423
\(322\) −1.36035 + 12.6154i −0.0758094 + 0.703031i
\(323\) 16.8091 0.935284
\(324\) −0.959493 0.281733i −0.0533052 0.0156518i
\(325\) 3.05856 + 2.65026i 0.169658 + 0.147010i
\(326\) −14.4103 9.26092i −0.798111 0.512915i
\(327\) 1.15966 8.06563i 0.0641294 0.446030i
\(328\) 5.92515 + 9.21972i 0.327162 + 0.509074i
\(329\) 9.52582 9.90436i 0.525175 0.546045i
\(330\) −0.151836 0.175228i −0.00835828 0.00964597i
\(331\) −4.41912 30.7356i −0.242897 1.68938i −0.637435 0.770504i \(-0.720004\pi\)
0.394538 0.918880i \(-0.370905\pi\)
\(332\) −2.85988 + 6.26226i −0.156956 + 0.343686i
\(333\) −1.96920 6.70649i −0.107912 0.367513i
\(334\) −0.0728857 0.248226i −0.00398813 0.0135823i
\(335\) 1.05057 + 0.479780i 0.0573989 + 0.0262132i
\(336\) −2.29698 + 1.31296i −0.125311 + 0.0716281i
\(337\) 2.74700 2.38029i 0.149639 0.129663i −0.576824 0.816868i \(-0.695708\pi\)
0.726463 + 0.687205i \(0.241163\pi\)
\(338\) 5.12697 + 11.2265i 0.278870 + 0.610641i
\(339\) 14.3480 9.22092i 0.779278 0.500812i
\(340\) −0.0482238 + 0.335404i −0.00261530 + 0.0181898i
\(341\) −14.0700 9.04224i −0.761934 0.489665i
\(342\) −3.50258 + 4.04219i −0.189398 + 0.218577i
\(343\) 12.3086 13.8383i 0.664600 0.747199i
\(344\) 5.15962i 0.278188i
\(345\) −0.515124 + 0.0450863i −0.0277334 + 0.00242737i
\(346\) 2.04756i 0.110078i
\(347\) 19.5569 + 5.74243i 1.04987 + 0.308270i 0.760765 0.649028i \(-0.224824\pi\)
0.289105 + 0.957297i \(0.406642\pi\)
\(348\) 6.79365 + 5.88673i 0.364178 + 0.315562i
\(349\) −0.314465 + 0.489316i −0.0168329 + 0.0261925i −0.849568 0.527479i \(-0.823137\pi\)
0.832735 + 0.553672i \(0.186774\pi\)
\(350\) 3.05611 + 12.8393i 0.163356 + 0.686289i
\(351\) 0.682506 0.438620i 0.0364295 0.0234118i
\(352\) −1.95607 + 0.893309i −0.104259 + 0.0476135i
\(353\) −2.44400 + 2.11774i −0.130081 + 0.112716i −0.717472 0.696588i \(-0.754701\pi\)
0.587391 + 0.809304i \(0.300155\pi\)
\(354\) −0.185859 1.29268i −0.00987831 0.0687052i
\(355\) 0.0726248 0.159026i 0.00385453 0.00844023i
\(356\) −13.2367 + 3.88664i −0.701543 + 0.205992i
\(357\) −5.11162 6.55806i −0.270535 0.347089i
\(358\) −6.30057 + 13.7963i −0.332995 + 0.729158i
\(359\) −11.3770 + 1.63577i −0.600458 + 0.0863328i −0.435839 0.900025i \(-0.643548\pi\)
−0.164618 + 0.986357i \(0.552639\pi\)
\(360\) −0.0706081 0.0814861i −0.00372137 0.00429469i
\(361\) 3.99106 + 8.73920i 0.210056 + 0.459958i
\(362\) 11.1188 7.14562i 0.584391 0.375566i
\(363\) −6.31087 0.907367i −0.331235 0.0476244i
\(364\) 0.415328 2.10593i 0.0217691 0.110380i
\(365\) −0.645510 0.559338i −0.0337876 0.0292771i
\(366\) 0.216626 0.737761i 0.0113232 0.0385634i
\(367\) −26.9709 −1.40787 −0.703934 0.710266i \(-0.748575\pi\)
−0.703934 + 0.710266i \(0.748575\pi\)
\(368\) −0.944777 + 4.70185i −0.0492499 + 0.245101i
\(369\) 10.9595i 0.570529i
\(370\) 0.212322 0.723104i 0.0110381 0.0375924i
\(371\) 16.4241 + 5.76402i 0.852698 + 0.299253i
\(372\) −6.54297 4.20491i −0.339237 0.218014i
\(373\) −9.85540 1.41699i −0.510293 0.0733691i −0.117641 0.993056i \(-0.537533\pi\)
−0.392652 + 0.919687i \(0.628442\pi\)
\(374\) −3.65371 5.68528i −0.188929 0.293979i
\(375\) −0.979639 + 0.447386i −0.0505883 + 0.0231029i
\(376\) 3.92530 3.40129i 0.202432 0.175408i
\(377\) −7.21875 + 1.03790i −0.371785 + 0.0534546i
\(378\) 2.64219 + 0.137306i 0.135899 + 0.00706225i
\(379\) −2.11854 7.21507i −0.108822 0.370613i 0.887018 0.461735i \(-0.152773\pi\)
−0.995840 + 0.0911219i \(0.970955\pi\)
\(380\) −0.553333 + 0.162473i −0.0283854 + 0.00833470i
\(381\) 5.51686 + 2.51947i 0.282637 + 0.129076i
\(382\) −16.1954 + 2.32854i −0.828627 + 0.119139i
\(383\) −9.88685 11.4100i −0.505194 0.583025i 0.444667 0.895696i \(-0.353322\pi\)
−0.949862 + 0.312670i \(0.898776\pi\)
\(384\) −0.909632 + 0.415415i −0.0464195 + 0.0211991i
\(385\) 0.498154 + 0.357987i 0.0253883 + 0.0182447i
\(386\) −1.59730 + 11.1095i −0.0813005 + 0.565457i
\(387\) −2.78950 + 4.34055i −0.141798 + 0.220643i
\(388\) −2.29975 + 2.65405i −0.116752 + 0.134739i
\(389\) −5.96465 + 20.3137i −0.302420 + 1.02995i 0.658376 + 0.752689i \(0.271244\pi\)
−0.960796 + 0.277258i \(0.910574\pi\)
\(390\) 0.0874753 0.00442948
\(391\) −15.0487 0.836019i −0.761048 0.0422793i
\(392\) 5.10769 4.78660i 0.257977 0.241760i
\(393\) 20.2835 + 5.95577i 1.02317 + 0.300429i
\(394\) −6.03222 + 6.96156i −0.303899 + 0.350718i
\(395\) 0.00369300 0.00574641i 0.000185815 0.000289133i
\(396\) 2.12851 + 0.306034i 0.106962 + 0.0153788i
\(397\) −4.23088 6.58338i −0.212342 0.330410i 0.718702 0.695319i \(-0.244737\pi\)
−0.931043 + 0.364908i \(0.881100\pi\)
\(398\) −6.19865 13.5731i −0.310710 0.680360i
\(399\) 6.53866 12.5498i 0.327342 0.628276i
\(400\) 0.709920 + 4.93760i 0.0354960 + 0.246880i
\(401\) 20.7444 + 9.47366i 1.03593 + 0.473092i 0.859454 0.511213i \(-0.170804\pi\)
0.176473 + 0.984305i \(0.443531\pi\)
\(402\) −10.2777 + 3.01781i −0.512606 + 0.150515i
\(403\) 6.05438 1.77773i 0.301590 0.0885548i
\(404\) 7.30895 + 3.33788i 0.363634 + 0.166066i
\(405\) 0.0153446 + 0.106724i 0.000762479 + 0.00530316i
\(406\) −21.0923 10.9894i −1.04679 0.545396i
\(407\) 6.24389 + 13.6722i 0.309498 + 0.677706i
\(408\) −1.69908 2.64382i −0.0841171 0.130889i
\(409\) −29.3492 4.21977i −1.45122 0.208654i −0.628816 0.777554i \(-0.716460\pi\)
−0.822407 + 0.568900i \(0.807369\pi\)
\(410\) 0.638859 0.994084i 0.0315510 0.0490943i
\(411\) −4.96588 + 5.73093i −0.244949 + 0.282686i
\(412\) −16.7913 4.93038i −0.827249 0.242902i
\(413\) 1.27033 + 3.21329i 0.0625087 + 0.158116i
\(414\) 3.33681 3.44466i 0.163995 0.169296i
\(415\) 0.742286 0.0364374
\(416\) 0.228569 0.778434i 0.0112065 0.0381659i
\(417\) −9.73309 + 11.2326i −0.476631 + 0.550062i
\(418\) 6.21824 9.67577i 0.304144 0.473258i
\(419\) 3.39690 23.6260i 0.165950 1.15420i −0.721201 0.692726i \(-0.756410\pi\)
0.887151 0.461479i \(-0.152681\pi\)
\(420\) 0.231656 + 0.166475i 0.0113037 + 0.00812313i
\(421\) −30.0395 + 13.7186i −1.46404 + 0.668603i −0.978619 0.205680i \(-0.934059\pi\)
−0.485417 + 0.874283i \(0.661332\pi\)
\(422\) 5.83390 + 6.73267i 0.283990 + 0.327741i
\(423\) −5.14105 + 0.739172i −0.249967 + 0.0359398i
\(424\) 5.98440 + 2.73298i 0.290628 + 0.132725i
\(425\) −15.0420 + 4.41674i −0.729645 + 0.214243i
\(426\) 0.456809 + 1.55575i 0.0221325 + 0.0753763i
\(427\) −0.105575 + 2.03160i −0.00510916 + 0.0983158i
\(428\) −10.5948 + 1.52330i −0.512117 + 0.0736313i
\(429\) −1.31849 + 1.14248i −0.0636574 + 0.0551594i
\(430\) −0.506045 + 0.231103i −0.0244037 + 0.0111448i
\(431\) −4.35676 6.77924i −0.209858 0.326545i 0.720329 0.693633i \(-0.243991\pi\)
−0.930186 + 0.367088i \(0.880355\pi\)
\(432\) 0.989821 + 0.142315i 0.0476228 + 0.00684713i
\(433\) 18.5693 + 11.9337i 0.892381 + 0.573499i 0.904522 0.426428i \(-0.140228\pi\)
−0.0121403 + 0.999926i \(0.503864\pi\)
\(434\) 19.4167 + 6.81425i 0.932031 + 0.327095i
\(435\) 0.273066 0.929978i 0.0130925 0.0445890i
\(436\) 8.14857i 0.390246i
\(437\) −9.34513 23.8880i −0.447038 1.14272i
\(438\) 7.92173 0.378515
\(439\) 1.12955 3.84689i 0.0539104 0.183602i −0.928136 0.372241i \(-0.878589\pi\)
0.982046 + 0.188639i \(0.0604077\pi\)
\(440\) 0.175228 + 0.151836i 0.00835366 + 0.00723848i
\(441\) −6.88469 + 1.26532i −0.327842 + 0.0602534i
\(442\) 2.52373 + 0.362857i 0.120041 + 0.0172593i
\(443\) −5.57411 + 3.58226i −0.264834 + 0.170198i −0.666318 0.745668i \(-0.732131\pi\)
0.401484 + 0.915866i \(0.368494\pi\)
\(444\) 2.90359 + 6.35798i 0.137798 + 0.301736i
\(445\) 0.974074 + 1.12414i 0.0461755 + 0.0532894i
\(446\) 15.0313 2.16118i 0.711753 0.102335i
\(447\) −4.87806 + 10.6815i −0.230725 + 0.505216i
\(448\) 2.08675 1.62650i 0.0985895 0.0768447i
\(449\) 1.07869 0.316733i 0.0509066 0.0149475i −0.256180 0.966629i \(-0.582464\pi\)
0.307087 + 0.951682i \(0.400646\pi\)
\(450\) 2.07225 4.53759i 0.0976866 0.213904i
\(451\) 3.35398 + 23.3275i 0.157933 + 1.09845i
\(452\) −12.8897 + 11.1690i −0.606281 + 0.525346i
\(453\) −21.5943 + 9.86178i −1.01459 + 0.463347i
\(454\) −19.6261 + 12.6129i −0.921099 + 0.591954i
\(455\) −0.225148 + 0.0535913i −0.0105551 + 0.00251240i
\(456\) 2.89167 4.49952i 0.135415 0.210709i
\(457\) 27.1983 + 23.5675i 1.27228 + 1.10244i 0.989694 + 0.143198i \(0.0457387\pi\)
0.282589 + 0.959241i \(0.408807\pi\)
\(458\) 20.7179 + 6.08333i 0.968084 + 0.284255i
\(459\) 3.14272i 0.146690i
\(460\) 0.503465 0.117937i 0.0234742 0.00549885i
\(461\) 34.0796i 1.58724i 0.608411 + 0.793622i \(0.291807\pi\)
−0.608411 + 0.793622i \(0.708193\pi\)
\(462\) −5.66595 + 0.516342i −0.263604 + 0.0240224i
\(463\) 25.9692 29.9701i 1.20689 1.39283i 0.309905 0.950768i \(-0.399703\pi\)
0.896986 0.442059i \(-0.145752\pi\)
\(464\) −7.56227 4.85998i −0.351070 0.225619i
\(465\) −0.119345 + 0.830061i −0.00553448 + 0.0384932i
\(466\) −6.25494 + 4.01981i −0.289754 + 0.186214i
\(467\) −4.32963 9.48056i −0.200351 0.438708i 0.782612 0.622510i \(-0.213887\pi\)
−0.982963 + 0.183802i \(0.941160\pi\)
\(468\) −0.613137 + 0.531287i −0.0283423 + 0.0245587i
\(469\) 24.6044 14.0640i 1.13612 0.649414i
\(470\) −0.509409 0.232639i −0.0234973 0.0107308i
\(471\) 1.53552 + 5.22949i 0.0707528 + 0.240962i
\(472\) 0.367935 + 1.25307i 0.0169356 + 0.0576773i
\(473\) 4.60914 10.0926i 0.211928 0.464059i
\(474\) 0.00901602 + 0.0627078i 0.000414119 + 0.00288026i
\(475\) −17.4722 20.1640i −0.801679 0.925187i
\(476\) 5.99290 + 5.76385i 0.274684 + 0.264186i
\(477\) −3.55683 5.53454i −0.162856 0.253409i
\(478\) −4.20074 + 29.2168i −0.192137 + 1.33635i
\(479\) 24.2858 + 15.6075i 1.10965 + 0.713126i 0.961216 0.275797i \(-0.0889416\pi\)
0.148430 + 0.988923i \(0.452578\pi\)
\(480\) 0.0814861 + 0.0706081i 0.00371931 + 0.00322280i
\(481\) −5.44095 1.59761i −0.248086 0.0728447i
\(482\) −25.9152 −1.18041
\(483\) −6.47806 + 10.9103i −0.294762 + 0.496436i
\(484\) 6.37577 0.289808
\(485\) 0.363311 + 0.106678i 0.0164971 + 0.00484398i
\(486\) −0.755750 0.654861i −0.0342815 0.0297051i
\(487\) 13.1390 + 8.44395i 0.595387 + 0.382632i 0.803352 0.595504i \(-0.203048\pi\)
−0.207965 + 0.978136i \(0.566684\pi\)
\(488\) −0.109427 + 0.761081i −0.00495352 + 0.0344525i
\(489\) −9.26092 14.4103i −0.418793 0.651655i
\(490\) −0.698236 0.286556i −0.0315431 0.0129453i
\(491\) 11.0553 + 12.7585i 0.498918 + 0.575782i 0.948226 0.317595i \(-0.102875\pi\)
−0.449309 + 0.893376i \(0.648330\pi\)
\(492\) 1.55970 + 10.8479i 0.0703167 + 0.489063i
\(493\) 11.7358 25.6978i 0.528554 1.15737i
\(494\) 1.22252 + 4.16352i 0.0550038 + 0.187326i
\(495\) −0.0653224 0.222468i −0.00293602 0.00999918i
\(496\) 7.07479 + 3.23095i 0.317667 + 0.145074i
\(497\) −2.12888 3.72439i −0.0954932 0.167062i
\(498\) −5.20288 + 4.50832i −0.233146 + 0.202023i
\(499\) −2.62586 5.74984i −0.117550 0.257398i 0.841707 0.539935i \(-0.181551\pi\)
−0.959256 + 0.282537i \(0.908824\pi\)
\(500\) 0.905998 0.582249i 0.0405175 0.0260390i
\(501\) 0.0368176 0.256072i 0.00164489 0.0114405i
\(502\) 6.66074 + 4.28060i 0.297283 + 0.191052i
\(503\) 3.46540 3.99928i 0.154514 0.178319i −0.673215 0.739447i \(-0.735087\pi\)
0.827729 + 0.561128i \(0.189632\pi\)
\(504\) −2.63483 + 0.240114i −0.117365 + 0.0106955i
\(505\) 0.866352i 0.0385522i
\(506\) −6.04826 + 8.35319i −0.268878 + 0.371345i
\(507\) 12.3418i 0.548118i
\(508\) −5.81926 1.70869i −0.258188 0.0758108i
\(509\) −15.1555 13.1323i −0.671755 0.582079i 0.250756 0.968050i \(-0.419321\pi\)
−0.922511 + 0.385971i \(0.873866\pi\)
\(510\) −0.183198 + 0.285061i −0.00811212 + 0.0126227i
\(511\) −20.3893 + 4.85321i −0.901969 + 0.214693i
\(512\) 0.841254 0.540641i 0.0371785 0.0238932i
\(513\) −4.86525 + 2.22188i −0.214806 + 0.0980986i
\(514\) −10.1608 + 8.80435i −0.448172 + 0.388343i
\(515\) 0.268534 + 1.86769i 0.0118330 + 0.0823003i
\(516\) 2.14338 4.69336i 0.0943573 0.206614i
\(517\) 10.7166 3.14668i 0.471315 0.138391i
\(518\) −11.3686 14.5856i −0.499507 0.640853i
\(519\) −0.850587 + 1.86253i −0.0373366 + 0.0817559i
\(520\) −0.0865849 + 0.0124490i −0.00379700 + 0.000545926i
\(521\) −5.04471 5.82190i −0.221013 0.255062i 0.634405 0.773001i \(-0.281245\pi\)
−0.855418 + 0.517938i \(0.826700\pi\)
\(522\) 3.73429 + 8.17695i 0.163445 + 0.357895i
\(523\) −14.1051 + 9.06479i −0.616772 + 0.396376i −0.811391 0.584503i \(-0.801289\pi\)
0.194619 + 0.980879i \(0.437653\pi\)
\(524\) −20.9246 3.00851i −0.914097 0.131427i
\(525\) −2.55370 + 12.9486i −0.111453 + 0.565122i
\(526\) 19.5181 + 16.9126i 0.851031 + 0.737422i
\(527\) −6.88637 + 23.4528i −0.299975 + 1.02162i
\(528\) −2.15040 −0.0935842
\(529\) 7.17835 + 21.8511i 0.312102 + 0.950049i
\(530\) 0.709349i 0.0308122i
\(531\) 0.367935 1.25307i 0.0159670 0.0543787i
\(532\) −4.68608 + 13.3526i −0.203167 + 0.578909i
\(533\) −7.47993 4.80706i −0.323992 0.208217i
\(534\) −13.6551 1.96330i −0.590913 0.0849605i
\(535\) 0.623948 + 0.970882i 0.0269756 + 0.0419749i
\(536\) 9.74362 4.44976i 0.420860 0.192201i
\(537\) −11.4624 + 9.93222i −0.494639 + 0.428607i
\(538\) −14.2776 + 2.05281i −0.615551 + 0.0885029i
\(539\) 14.2669 4.80020i 0.614520 0.206759i
\(540\) −0.0303768 0.103454i −0.00130721 0.00445195i
\(541\) −25.1273 + 7.37805i −1.08031 + 0.317207i −0.773002 0.634404i \(-0.781246\pi\)
−0.307306 + 0.951611i \(0.599428\pi\)
\(542\) 1.75333 + 0.800719i 0.0753120 + 0.0343938i
\(543\) 13.0824 1.88097i 0.561420 0.0807201i
\(544\) 2.05804 + 2.37511i 0.0882379 + 0.101832i
\(545\) 0.799194 0.364980i 0.0342337 0.0156340i
\(546\) 1.25263 1.74308i 0.0536076 0.0745971i
\(547\) −2.34122 + 16.2836i −0.100104 + 0.696235i 0.876534 + 0.481340i \(0.159850\pi\)
−0.976637 + 0.214895i \(0.931059\pi\)
\(548\) 4.09974 6.37931i 0.175132 0.272511i
\(549\) 0.503527 0.581101i 0.0214900 0.0248008i
\(550\) −3.02215 + 10.2925i −0.128865 + 0.438873i
\(551\) 48.0800 2.04828
\(552\) −2.81262 + 3.88448i −0.119713 + 0.165334i
\(553\) −0.0616235 0.155876i −0.00262050 0.00662854i
\(554\) 3.59563 + 1.05577i 0.152764 + 0.0448554i
\(555\) 0.493523 0.569556i 0.0209489 0.0241763i
\(556\) 8.03545 12.5034i 0.340779 0.530263i
\(557\) −39.1447 5.62815i −1.65861 0.238472i −0.751613 0.659604i \(-0.770724\pi\)
−0.906999 + 0.421132i \(0.861633\pi\)
\(558\) −4.20491 6.54297i −0.178008 0.276986i
\(559\) 1.73892 + 3.80771i 0.0735485 + 0.161049i
\(560\) −0.252990 0.131812i −0.0106908 0.00557007i
\(561\) −0.961779 6.68932i −0.0406063 0.282423i
\(562\) 12.3640 + 5.64646i 0.521544 + 0.238181i
\(563\) 15.9998 4.69798i 0.674313 0.197996i 0.0733904 0.997303i \(-0.476618\pi\)
0.600923 + 0.799307i \(0.294800\pi\)
\(564\) 4.98353 1.46330i 0.209844 0.0616159i
\(565\) 1.67277 + 0.763929i 0.0703740 + 0.0321387i
\(566\) −1.12018 7.79100i −0.0470845 0.327480i
\(567\) 2.34638 + 1.22250i 0.0985386 + 0.0513402i
\(568\) −0.673565 1.47490i −0.0282622 0.0618855i
\(569\) 10.3660 + 16.1298i 0.434564 + 0.676194i 0.987605 0.156959i \(-0.0501692\pi\)
−0.553041 + 0.833154i \(0.686533\pi\)
\(570\) −0.570823 0.0820719i −0.0239091 0.00343762i
\(571\) 16.3778 25.4843i 0.685388 1.06648i −0.307968 0.951397i \(-0.599649\pi\)
0.993355 0.115087i \(-0.0367148\pi\)
\(572\) 1.14248 1.31849i 0.0477695 0.0551289i
\(573\) −15.6991 4.60968i −0.655840 0.192572i
\(574\) −10.6604 26.9654i −0.444955 1.12551i
\(575\) 14.6395 + 18.9213i 0.610509 + 0.789071i
\(576\) −1.00000 −0.0416667
\(577\) −6.38690 + 21.7518i −0.265890 + 0.905538i 0.713002 + 0.701162i \(0.247335\pi\)
−0.978892 + 0.204376i \(0.934483\pi\)
\(578\) 4.66478 5.38345i 0.194029 0.223922i
\(579\) −6.06800 + 9.44199i −0.252177 + 0.392396i
\(580\) −0.137937 + 0.959374i −0.00572753 + 0.0398358i
\(581\) 10.6294 14.7912i 0.440981 0.613643i
\(582\) −3.19445 + 1.45886i −0.132414 + 0.0604716i
\(583\) 9.26453 + 10.6918i 0.383698 + 0.442811i
\(584\) −7.84110 + 1.12738i −0.324467 + 0.0466513i
\(585\) 0.0795703 + 0.0363385i 0.00328983 + 0.00150241i
\(586\) −4.60372 + 1.35177i −0.190178 + 0.0558412i
\(587\) 1.79348 + 6.10803i 0.0740248 + 0.252105i 0.988189 0.153238i \(-0.0489702\pi\)
−0.914165 + 0.405343i \(0.867152\pi\)
\(588\) 6.63454 2.23223i 0.273604 0.0920558i
\(589\) −41.1760 + 5.92021i −1.69663 + 0.243938i
\(590\) 0.106419 0.0922122i 0.00438118 0.00379632i
\(591\) −8.37904 + 3.82658i −0.344668 + 0.157404i
\(592\) −3.77887 5.88004i −0.155311 0.241668i
\(593\) 30.3802 + 4.36801i 1.24756 + 0.179373i 0.734280 0.678846i \(-0.237520\pi\)
0.513284 + 0.858219i \(0.328429\pi\)
\(594\) 1.80903 + 1.16260i 0.0742255 + 0.0477019i
\(595\) 0.296880 0.845937i 0.0121709 0.0346800i
\(596\) 3.30828 11.2670i 0.135512 0.461513i
\(597\) 14.9216i 0.610699i
\(598\) −0.887412 3.78829i −0.0362890 0.154915i
\(599\) −23.5652 −0.962850 −0.481425 0.876487i \(-0.659881\pi\)
−0.481425 + 0.876487i \(0.659881\pi\)
\(600\) −1.40539 + 4.78631i −0.0573747 + 0.195400i
\(601\) 23.8568 + 20.6720i 0.973138 + 0.843229i 0.987652 0.156666i \(-0.0500745\pi\)
−0.0145134 + 0.999895i \(0.504620\pi\)
\(602\) −2.64137 + 13.3931i −0.107654 + 0.545862i
\(603\) −10.6026 1.52442i −0.431770 0.0620792i
\(604\) 19.9710 12.8346i 0.812609 0.522232i
\(605\) −0.285575 0.625322i −0.0116103 0.0254230i
\(606\) 5.26185 + 6.07249i 0.213748 + 0.246678i
\(607\) −26.8665 + 3.86282i −1.09048 + 0.156787i −0.664016 0.747718i \(-0.731149\pi\)
−0.426463 + 0.904505i \(0.640240\pi\)
\(608\) −2.22188 + 4.86525i −0.0901093 + 0.197312i
\(609\) −14.6210 18.7584i −0.592474 0.760128i
\(610\) 0.0795465 0.0233570i 0.00322074 0.000945696i
\(611\) −1.75048 + 3.83302i −0.0708169 + 0.155067i
\(612\) −0.447255 3.11073i −0.0180792 0.125744i
\(613\) −10.1961 + 8.83498i −0.411817 + 0.356842i −0.835995 0.548737i \(-0.815109\pi\)
0.424178 + 0.905579i \(0.360563\pi\)
\(614\) 26.8582 12.2657i 1.08391 0.495004i
\(615\) 0.994084 0.638859i 0.0400853 0.0257613i
\(616\) 5.53480 1.31743i 0.223003 0.0530810i
\(617\) −4.44720 + 6.91997i −0.179037 + 0.278588i −0.919160 0.393884i \(-0.871131\pi\)
0.740123 + 0.672472i \(0.234767\pi\)
\(618\) −13.2258 11.4602i −0.532018 0.460997i
\(619\) −42.7430 12.5505i −1.71799 0.504446i −0.733467 0.679725i \(-0.762099\pi\)
−0.984519 + 0.175279i \(0.943917\pi\)
\(620\) 0.838597i 0.0336789i
\(621\) 4.46623 1.74721i 0.179224 0.0701133i
\(622\) 20.9225i 0.838915i
\(623\) 36.3488 3.31249i 1.45629 0.132712i
\(624\) 0.531287 0.613137i 0.0212685 0.0245451i
\(625\) 20.8848 + 13.4218i 0.835390 + 0.536873i
\(626\) 1.61685 11.2454i 0.0646223 0.449458i
\(627\) 9.67577 6.21824i 0.386413 0.248333i
\(628\) −2.26412 4.95773i −0.0903482 0.197835i
\(629\) 16.6011 14.3849i 0.661929 0.573565i
\(630\) 0.141566 + 0.247664i 0.00564012 + 0.00986717i
\(631\) −9.90074 4.52152i −0.394142 0.179999i 0.208477 0.978027i \(-0.433149\pi\)
−0.602620 + 0.798028i \(0.705876\pi\)
\(632\) −0.0178485 0.0607864i −0.000709975 0.00241795i
\(633\) 2.50984 + 8.54774i 0.0997573 + 0.339742i
\(634\) 11.7861 25.8079i 0.468086 1.02496i
\(635\) 0.0930640 + 0.647274i 0.00369313 + 0.0256863i
\(636\) 4.30828 + 4.97202i 0.170834 + 0.197153i
\(637\) −2.15618 + 5.25384i −0.0854308 + 0.208165i
\(638\) −10.4509 16.2619i −0.413755 0.643816i
\(639\) −0.230753 + 1.60492i −0.00912846 + 0.0634898i
\(640\) −0.0907052 0.0582927i −0.00358544 0.00230422i
\(641\) 8.83005 + 7.65129i 0.348766 + 0.302208i 0.811572 0.584252i \(-0.198612\pi\)
−0.462806 + 0.886459i \(0.653157\pi\)
\(642\) −10.2701 3.01558i −0.405330 0.119016i
\(643\) −13.5990 −0.536291 −0.268146 0.963378i \(-0.586411\pi\)
−0.268146 + 0.963378i \(0.586411\pi\)
\(644\) 4.85943 11.7212i 0.191488 0.461879i
\(645\) −0.556318 −0.0219050
\(646\) −16.1282 4.73567i −0.634556 0.186323i
\(647\) −8.83349 7.65427i −0.347280 0.300920i 0.463701 0.885992i \(-0.346521\pi\)
−0.810982 + 0.585071i \(0.801067\pi\)
\(648\) 0.841254 + 0.540641i 0.0330476 + 0.0212384i
\(649\) −0.399672 + 2.77978i −0.0156885 + 0.109116i
\(650\) −2.18800 3.40460i −0.0858205 0.133539i
\(651\) 14.8313 + 14.2644i 0.581284 + 0.559068i
\(652\) 11.2175 + 12.9456i 0.439309 + 0.506990i
\(653\) −3.80423 26.4590i −0.148871 1.03542i −0.918072 0.396414i \(-0.870255\pi\)
0.769201 0.639007i \(-0.220655\pi\)
\(654\) −3.38504 + 7.41220i −0.132365 + 0.289840i
\(655\) 0.642160 + 2.18700i 0.0250913 + 0.0854531i
\(656\) −3.08765 10.5156i −0.120552 0.410564i
\(657\) 7.20586 + 3.29080i 0.281127 + 0.128387i
\(658\) −11.9303 + 6.81943i −0.465093 + 0.265849i
\(659\) 7.97209 6.90786i 0.310549 0.269092i −0.485616 0.874172i \(-0.661405\pi\)
0.796164 + 0.605080i \(0.206859\pi\)
\(660\) 0.0963180 + 0.210907i 0.00374917 + 0.00820954i
\(661\) −12.2940 + 7.90088i −0.478182 + 0.307309i −0.757437 0.652908i \(-0.773549\pi\)
0.279255 + 0.960217i \(0.409912\pi\)
\(662\) −4.41912 + 30.7356i −0.171754 + 1.19457i
\(663\) 2.14493 + 1.37846i 0.0833020 + 0.0535349i
\(664\) 4.50832 5.20288i 0.174957 0.201911i
\(665\) 1.51949 0.138472i 0.0589233 0.00536971i
\(666\) 6.98962i 0.270842i
\(667\) −43.0448 2.39131i −1.66670 0.0925920i
\(668\) 0.258705i 0.0100096i
\(669\) 14.5708 + 4.27836i 0.563338 + 0.165411i
\(670\) −0.872847 0.756326i −0.0337210 0.0292194i
\(671\) −0.893928 + 1.39098i −0.0345097 + 0.0536981i
\(672\) 2.57384 0.612646i 0.0992881 0.0236333i
\(673\) −13.1440 + 8.44714i −0.506664 + 0.325613i −0.768877 0.639397i \(-0.779184\pi\)
0.262213 + 0.965010i \(0.415548\pi\)
\(674\) −3.30634 + 1.50995i −0.127355 + 0.0581612i
\(675\) 3.76996 3.26669i 0.145106 0.125735i
\(676\) −1.75642 12.2162i −0.0675546 0.469853i
\(677\) 3.48703 7.63552i 0.134017 0.293457i −0.830711 0.556703i \(-0.812066\pi\)
0.964729 + 0.263247i \(0.0847933\pi\)
\(678\) −16.3647 + 4.80510i −0.628481 + 0.184539i
\(679\) 7.32826 5.71194i 0.281233 0.219204i
\(680\) 0.140764 0.308231i 0.00539807 0.0118201i
\(681\) −23.0921 + 3.32015i −0.884893 + 0.127228i
\(682\) 10.9526 + 12.6399i 0.419396 + 0.484009i
\(683\) −17.1995 37.6616i −0.658120 1.44108i −0.884263 0.466989i \(-0.845339\pi\)
0.226143 0.974094i \(-0.427388\pi\)
\(684\) 4.49952 2.89167i 0.172043 0.110566i
\(685\) −0.809300 0.116360i −0.0309217 0.00444588i
\(686\) −15.7087 + 9.81004i −0.599761 + 0.374549i
\(687\) 16.3186 + 14.1401i 0.622592 + 0.539479i
\(688\) −1.45363 + 4.95062i −0.0554193 + 0.188741i
\(689\) −5.33746 −0.203341
\(690\) 0.506961 + 0.101867i 0.0192997 + 0.00387802i
\(691\) 33.0727i 1.25814i 0.777347 + 0.629072i \(0.216565\pi\)
−0.777347 + 0.629072i \(0.783435\pi\)
\(692\) 0.576865 1.96462i 0.0219291 0.0746837i
\(693\) −5.36843 1.88404i −0.203930 0.0715688i
\(694\) −17.1469 11.0196i −0.650887 0.418300i
\(695\) −1.58622 0.228064i −0.0601688 0.00865097i
\(696\) −4.85998 7.56227i −0.184217 0.286647i
\(697\) 31.3301 14.3080i 1.18671 0.541953i
\(698\) 0.439583 0.380901i 0.0166385 0.0144173i
\(699\) −7.35958 + 1.05815i −0.278365 + 0.0400228i
\(700\) 0.684933 13.1802i 0.0258880 0.498165i
\(701\) −4.01840 13.6854i −0.151773 0.516891i 0.848144 0.529766i \(-0.177720\pi\)
−0.999917 + 0.0128741i \(0.995902\pi\)
\(702\) −0.778434 + 0.228569i −0.0293801 + 0.00862677i
\(703\) 34.0062 + 15.5301i 1.28257 + 0.585729i
\(704\) 2.12851 0.306034i 0.0802214 0.0115341i
\(705\) −0.366733 0.423232i −0.0138120 0.0159398i
\(706\) 2.94164 1.34340i 0.110710 0.0505596i
\(707\) −17.2634 12.4060i −0.649259 0.466575i
\(708\) −0.185859 + 1.29268i −0.00698502 + 0.0485819i
\(709\) 21.3356 33.1989i 0.801277 1.24681i −0.164227 0.986423i \(-0.552513\pi\)
0.965504 0.260389i \(-0.0838507\pi\)
\(710\) −0.114486 + 0.132124i −0.00429658 + 0.00495852i
\(711\) −0.0178485 + 0.0607864i −0.000669371 + 0.00227967i
\(712\) 13.7955 0.517008
\(713\) 37.1582 3.25227i 1.39159 0.121799i
\(714\) 3.05694 + 7.73252i 0.114403 + 0.289382i
\(715\) −0.180487 0.0529959i −0.00674984 0.00198193i
\(716\) 9.93222 11.4624i 0.371185 0.428370i
\(717\) −15.9582 + 24.8315i −0.595971 + 0.927349i
\(718\) 11.3770 + 1.63577i 0.424588 + 0.0610465i
\(719\) −8.37449 13.0310i −0.312316 0.485973i 0.649239 0.760584i \(-0.275087\pi\)
−0.961555 + 0.274611i \(0.911451\pi\)
\(720\) 0.0447907 + 0.0980779i 0.00166925 + 0.00365515i
\(721\) 41.0621 + 21.3940i 1.52923 + 0.796755i
\(722\) −1.36728 9.50961i −0.0508847 0.353911i
\(723\) −23.5733 10.7656i −0.876702 0.400376i
\(724\) −12.6816 + 3.72364i −0.471307 + 0.138388i
\(725\) −43.0255 + 12.6334i −1.59793 + 0.469194i
\(726\) 5.79961 + 2.64859i 0.215244 + 0.0982984i
\(727\) −3.73587 25.9836i −0.138556 0.963677i −0.933904 0.357524i \(-0.883621\pi\)
0.795348 0.606153i \(-0.207288\pi\)
\(728\) −0.991812 + 1.90361i −0.0367590 + 0.0705525i
\(729\) −0.415415 0.909632i −0.0153857 0.0336901i
\(730\) 0.461779 + 0.718542i 0.0170912 + 0.0265944i
\(731\) −16.0502 2.30767i −0.593638 0.0853522i
\(732\) −0.415703 + 0.646846i −0.0153648 + 0.0239081i
\(733\) 2.95699 3.41255i 0.109219 0.126045i −0.698508 0.715602i \(-0.746152\pi\)
0.807727 + 0.589557i \(0.200698\pi\)
\(734\) 25.8783 + 7.59857i 0.955187 + 0.280468i
\(735\) −0.516098 0.550718i −0.0190366 0.0203136i
\(736\) 2.23117 4.24522i 0.0822421 0.156481i
\(737\) 23.0343 0.848478
\(738\) −3.08765 + 10.5156i −0.113658 + 0.387083i
\(739\) −10.3796 + 11.9788i −0.381822 + 0.440646i −0.913832 0.406092i \(-0.866891\pi\)
0.532011 + 0.846738i \(0.321437\pi\)
\(740\) −0.407444 + 0.633995i −0.0149779 + 0.0233061i
\(741\) −0.617546 + 4.29513i −0.0226861 + 0.157785i
\(742\) −14.1349 10.1577i −0.518909 0.372902i
\(743\) 38.2330 17.4604i 1.40263 0.640561i 0.436760 0.899578i \(-0.356126\pi\)
0.965873 + 0.259017i \(0.0833987\pi\)
\(744\) 5.09327 + 5.87795i 0.186728 + 0.215496i
\(745\) −1.25322 + 0.180186i −0.0459145 + 0.00660150i
\(746\) 9.05698 + 4.13618i 0.331600 + 0.151436i
\(747\) −6.60553 + 1.93956i −0.241684 + 0.0709647i
\(748\) 1.90398 + 6.48436i 0.0696164 + 0.237092i
\(749\) 28.2812 + 1.46968i 1.03337 + 0.0537010i
\(750\) 1.06600 0.153268i 0.0389248 0.00559654i
\(751\) 17.5282 15.1883i 0.639613 0.554228i −0.273532 0.961863i \(-0.588192\pi\)
0.913145 + 0.407635i \(0.133646\pi\)
\(752\) −4.72456 + 2.15763i −0.172287 + 0.0786808i
\(753\) 4.28060 + 6.66074i 0.155994 + 0.242731i
\(754\) 7.21875 + 1.03790i 0.262891 + 0.0377981i
\(755\) −2.15330 1.38384i −0.0783668 0.0503633i
\(756\) −2.49648 0.876134i −0.0907959 0.0318647i
\(757\) −7.54179 + 25.6850i −0.274111 + 0.933536i 0.701249 + 0.712917i \(0.252626\pi\)
−0.975360 + 0.220620i \(0.929192\pi\)
\(758\) 7.51967i 0.273127i
\(759\) −8.97173 + 5.08579i −0.325653 + 0.184603i
\(760\) 0.576693 0.0209188
\(761\) −10.9537 + 37.3049i −0.397072 + 1.35230i 0.482234 + 0.876043i \(0.339826\pi\)
−0.879305 + 0.476259i \(0.841993\pi\)
\(762\) −4.58357 3.97169i −0.166045 0.143879i
\(763\) 4.17150 21.1517i 0.151018 0.765741i
\(764\) 16.1954 + 2.32854i 0.585928 + 0.0842437i
\(765\) −0.285061 + 0.183198i −0.0103064 + 0.00662352i
\(766\) 6.27178 + 13.7333i 0.226609 + 0.496204i
\(767\) −0.693846 0.800741i −0.0250533 0.0289131i
\(768\) 0.989821 0.142315i 0.0357171 0.00513534i
\(769\) −0.144058 + 0.315444i −0.00519487 + 0.0113752i −0.912212 0.409719i \(-0.865627\pi\)
0.907017 + 0.421094i \(0.138354\pi\)
\(770\) −0.377118 0.483832i −0.0135904 0.0174361i
\(771\) −12.9000 + 3.78778i −0.464583 + 0.136414i
\(772\) 4.66250 10.2094i 0.167807 0.367446i
\(773\) −3.16747 22.0302i −0.113926 0.792371i −0.964037 0.265768i \(-0.914374\pi\)
0.850111 0.526603i \(-0.176535\pi\)