Properties

Label 177.2.e.a.7.4
Level $177$
Weight $2$
Character 177.7
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 7.4
Character \(\chi\) \(=\) 177.7
Dual form 177.2.e.a.76.4

$q$-expansion

\(f(q)\) \(=\) \(q+(0.579343 + 0.854467i) q^{2} +(0.0541389 - 0.998533i) q^{3} +(0.345801 - 0.867894i) q^{4} +(0.231383 - 0.107049i) q^{5} +(0.884579 - 0.532233i) q^{6} +(-0.661330 + 2.38190i) q^{7} +(2.95836 - 0.651184i) q^{8} +(-0.994138 - 0.108119i) q^{9} +O(q^{10})\) \(q+(0.579343 + 0.854467i) q^{2} +(0.0541389 - 0.998533i) q^{3} +(0.345801 - 0.867894i) q^{4} +(0.231383 - 0.107049i) q^{5} +(0.884579 - 0.532233i) q^{6} +(-0.661330 + 2.38190i) q^{7} +(2.95836 - 0.651184i) q^{8} +(-0.994138 - 0.108119i) q^{9} +(0.225520 + 0.135691i) q^{10} +(4.21583 - 3.99345i) q^{11} +(-0.847900 - 0.392280i) q^{12} +(0.0916376 - 0.00996619i) q^{13} +(-2.41839 + 0.814850i) q^{14} +(-0.0943653 - 0.236839i) q^{15} +(0.913800 + 0.865598i) q^{16} +(-0.270495 - 0.974234i) q^{17} +(-0.483563 - 0.912096i) q^{18} +(-6.56769 + 4.99263i) q^{19} +(-0.0128950 - 0.237834i) q^{20} +(2.34260 + 0.789313i) q^{21} +(5.85468 + 1.28871i) q^{22} +(-1.85006 + 3.48958i) q^{23} +(-0.490067 - 2.98927i) q^{24} +(-3.19485 + 3.76127i) q^{25} +(0.0616054 + 0.0725274i) q^{26} +(-0.161782 + 0.986827i) q^{27} +(1.83855 + 1.39763i) q^{28} +(-4.17622 + 6.15946i) q^{29} +(0.147701 - 0.217843i) q^{30} +(-5.52322 - 4.19865i) q^{31} +(0.769912 - 4.69626i) q^{32} +(-3.75935 - 4.42585i) q^{33} +(0.675742 - 0.795545i) q^{34} +(0.101959 + 0.621925i) q^{35} +(-0.437609 + 0.825419i) q^{36} +(7.25593 + 1.59715i) q^{37} +(-8.07099 - 2.71943i) q^{38} +(-0.00499041 - 0.0920427i) q^{39} +(0.614805 - 0.467362i) q^{40} +(-1.68983 - 3.18736i) q^{41} +(0.682726 + 2.45896i) q^{42} +(-1.18715 - 1.12453i) q^{43} +(-2.00805 - 5.03983i) q^{44} +(-0.241601 + 0.0814047i) q^{45} +(-4.05355 + 0.440850i) q^{46} +(4.56376 + 2.11142i) q^{47} +(0.913800 - 0.865598i) q^{48} +(0.761932 + 0.458439i) q^{49} +(-5.06480 - 0.550830i) q^{50} +(-0.987450 + 0.217354i) q^{51} +(0.0230387 - 0.0829780i) q^{52} +(8.01164 - 4.82045i) q^{53} +(-0.936938 + 0.433474i) q^{54} +(0.547976 - 1.37532i) q^{55} +(-0.405399 + 7.47715i) q^{56} +(4.62974 + 6.82836i) q^{57} -7.68252 q^{58} +(-2.76868 - 7.16480i) q^{59} -0.238183 q^{60} +(4.19908 + 6.19317i) q^{61} +(0.387763 - 7.15187i) q^{62} +(0.914981 - 2.29643i) q^{63} +(6.74355 - 3.11990i) q^{64} +(0.0201365 - 0.0121157i) q^{65} +(1.60379 - 5.77632i) q^{66} +(-10.1088 + 2.22511i) q^{67} +(-0.939069 - 0.102130i) q^{68} +(3.38430 + 2.03627i) q^{69} +(-0.472345 + 0.447429i) q^{70} +(-5.43004 - 2.51220i) q^{71} +(-3.01142 + 0.327512i) q^{72} +(4.89473 - 1.64922i) q^{73} +(2.83896 + 7.12525i) q^{74} +(3.58279 + 3.39380i) q^{75} +(2.06196 + 7.42652i) q^{76} +(6.72392 + 12.6827i) q^{77} +(0.0757563 - 0.0575885i) q^{78} +(-0.392334 - 7.23617i) q^{79} +(0.304099 + 0.102463i) q^{80} +(0.976621 + 0.214970i) q^{81} +(1.74450 - 3.29048i) q^{82} +(1.11493 + 6.80077i) q^{83} +(1.49511 - 1.76018i) q^{84} +(-0.166879 - 0.196465i) q^{85} +(0.273106 - 1.66587i) q^{86} +(5.92433 + 4.50356i) q^{87} +(9.87147 - 14.5593i) q^{88} +(-1.47495 + 2.17538i) q^{89} +(-0.209527 - 0.159278i) q^{90} +(-0.0368643 + 0.224862i) q^{91} +(2.38884 + 2.81235i) q^{92} +(-4.49151 + 5.28781i) q^{93} +(0.839844 + 5.12282i) q^{94} +(-0.985195 + 1.85828i) q^{95} +(-4.64769 - 1.02303i) q^{96} +(-13.5742 - 4.57367i) q^{97} +(0.0496987 + 0.916639i) q^{98} +(-4.62288 + 3.51422i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + O(q^{10}) \) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + 88q^{10} - 14q^{11} - 9q^{12} - 12q^{13} - q^{14} - 2q^{15} - 41q^{16} - 16q^{17} - q^{18} - 10q^{19} - 32q^{20} + 27q^{21} - 26q^{22} - 22q^{23} - 9q^{24} + 27q^{25} - 56q^{26} - 5q^{27} - 50q^{28} - 24q^{29} - 28q^{30} - 24q^{31} + 106q^{32} - 14q^{33} - 54q^{34} - 70q^{35} - 9q^{36} - 28q^{37} - 80q^{38} - 12q^{39} - 50q^{40} - 40q^{41} - 30q^{42} + 4q^{43} - 104q^{44} - 2q^{45} - 28q^{46} + 31q^{47} - 41q^{48} - q^{49} + 39q^{50} - 16q^{51} + 62q^{52} + 4q^{53} - q^{54} + 5q^{55} + 96q^{56} - 10q^{57} + 128q^{58} - q^{59} - 32q^{60} - 16q^{61} + 223q^{62} - 2q^{63} + 97q^{64} + 121q^{65} - 26q^{66} - 12q^{67} + 10q^{68} + 36q^{69} - 2q^{70} - 22q^{71} - 9q^{72} + 179q^{73} - 38q^{74} - 31q^{75} + 112q^{76} - 62q^{77} - 56q^{78} - 84q^{79} + 204q^{80} - 5q^{81} - 152q^{82} - 88q^{83} + 95q^{84} - 118q^{85} - 118q^{86} + 34q^{87} + 18q^{88} - 86q^{89} - 28q^{90} + 78q^{91} - 174q^{92} - 24q^{93} - 164q^{94} + 218q^{95} - 39q^{96} - 84q^{97} + 129q^{98} - 14q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{9}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.579343 + 0.854467i 0.409657 + 0.604199i 0.975416 0.220371i \(-0.0707269\pi\)
−0.565759 + 0.824571i \(0.691417\pi\)
\(3\) 0.0541389 0.998533i 0.0312571 0.576504i
\(4\) 0.345801 0.867894i 0.172900 0.433947i
\(5\) 0.231383 0.107049i 0.103478 0.0478738i −0.367467 0.930036i \(-0.619775\pi\)
0.470945 + 0.882163i \(0.343913\pi\)
\(6\) 0.884579 0.532233i 0.361128 0.217283i
\(7\) −0.661330 + 2.38190i −0.249959 + 0.900272i 0.726963 + 0.686677i \(0.240931\pi\)
−0.976922 + 0.213595i \(0.931483\pi\)
\(8\) 2.95836 0.651184i 1.04594 0.230228i
\(9\) −0.994138 0.108119i −0.331379 0.0360397i
\(10\) 0.225520 + 0.135691i 0.0713157 + 0.0429092i
\(11\) 4.21583 3.99345i 1.27112 1.20407i 0.303168 0.952937i \(-0.401956\pi\)
0.967953 0.251132i \(-0.0808028\pi\)
\(12\) −0.847900 0.392280i −0.244768 0.113242i
\(13\) 0.0916376 0.00996619i 0.0254157 0.00276412i −0.0954023 0.995439i \(-0.530414\pi\)
0.120818 + 0.992675i \(0.461448\pi\)
\(14\) −2.41839 + 0.814850i −0.646341 + 0.217778i
\(15\) −0.0943653 0.236839i −0.0243650 0.0611516i
\(16\) 0.913800 + 0.865598i 0.228450 + 0.216399i
\(17\) −0.270495 0.974234i −0.0656046 0.236286i 0.923477 0.383653i \(-0.125334\pi\)
−0.989082 + 0.147367i \(0.952920\pi\)
\(18\) −0.483563 0.912096i −0.113977 0.214983i
\(19\) −6.56769 + 4.99263i −1.50673 + 1.14539i −0.557771 + 0.829995i \(0.688343\pi\)
−0.948961 + 0.315393i \(0.897864\pi\)
\(20\) −0.0128950 0.237834i −0.00288340 0.0531812i
\(21\) 2.34260 + 0.789313i 0.511197 + 0.172242i
\(22\) 5.85468 + 1.28871i 1.24822 + 0.274754i
\(23\) −1.85006 + 3.48958i −0.385764 + 0.727628i −0.998011 0.0630385i \(-0.979921\pi\)
0.612247 + 0.790666i \(0.290266\pi\)
\(24\) −0.490067 2.98927i −0.100034 0.610183i
\(25\) −3.19485 + 3.76127i −0.638971 + 0.752254i
\(26\) 0.0616054 + 0.0725274i 0.0120818 + 0.0142238i
\(27\) −0.161782 + 0.986827i −0.0311350 + 0.189915i
\(28\) 1.83855 + 1.39763i 0.347452 + 0.264126i
\(29\) −4.17622 + 6.15946i −0.775504 + 1.14378i 0.210587 + 0.977575i \(0.432463\pi\)
−0.986091 + 0.166208i \(0.946848\pi\)
\(30\) 0.147701 0.217843i 0.0269664 0.0397725i
\(31\) −5.52322 4.19865i −0.992000 0.754099i −0.0226405 0.999744i \(-0.507207\pi\)
−0.969360 + 0.245645i \(0.921000\pi\)
\(32\) 0.769912 4.69626i 0.136103 0.830189i
\(33\) −3.75935 4.42585i −0.654419 0.770441i
\(34\) 0.675742 0.795545i 0.115889 0.136435i
\(35\) 0.101959 + 0.621925i 0.0172343 + 0.105124i
\(36\) −0.437609 + 0.825419i −0.0729349 + 0.137570i
\(37\) 7.25593 + 1.59715i 1.19287 + 0.262570i 0.766659 0.642055i \(-0.221918\pi\)
0.426209 + 0.904625i \(0.359849\pi\)
\(38\) −8.07099 2.71943i −1.30929 0.441150i
\(39\) −0.00499041 0.0920427i −0.000799105 0.0147386i
\(40\) 0.614805 0.467362i 0.0972092 0.0738965i
\(41\) −1.68983 3.18736i −0.263907 0.497782i 0.715777 0.698329i \(-0.246073\pi\)
−0.979684 + 0.200547i \(0.935728\pi\)
\(42\) 0.682726 + 2.45896i 0.105347 + 0.379425i
\(43\) −1.18715 1.12453i −0.181039 0.171490i 0.591813 0.806075i \(-0.298412\pi\)
−0.772853 + 0.634585i \(0.781171\pi\)
\(44\) −2.00805 5.03983i −0.302725 0.759783i
\(45\) −0.241601 + 0.0814047i −0.0360157 + 0.0121351i
\(46\) −4.05355 + 0.440850i −0.597663 + 0.0649998i
\(47\) 4.56376 + 2.11142i 0.665693 + 0.307982i 0.723479 0.690347i \(-0.242542\pi\)
−0.0577859 + 0.998329i \(0.518404\pi\)
\(48\) 0.913800 0.865598i 0.131896 0.124938i
\(49\) 0.761932 + 0.458439i 0.108847 + 0.0654913i
\(50\) −5.06480 0.550830i −0.716271 0.0778991i
\(51\) −0.987450 + 0.217354i −0.138271 + 0.0304357i
\(52\) 0.0230387 0.0829780i 0.00319490 0.0115070i
\(53\) 8.01164 4.82045i 1.10048 0.662139i 0.155035 0.987909i \(-0.450451\pi\)
0.945449 + 0.325770i \(0.105623\pi\)
\(54\) −0.936938 + 0.433474i −0.127501 + 0.0589883i
\(55\) 0.547976 1.37532i 0.0738891 0.185448i
\(56\) −0.405399 + 7.47715i −0.0541737 + 0.999176i
\(57\) 4.62974 + 6.82836i 0.613224 + 0.904438i
\(58\) −7.68252 −1.00876
\(59\) −2.76868 7.16480i −0.360451 0.932778i
\(60\) −0.238183 −0.0307493
\(61\) 4.19908 + 6.19317i 0.537637 + 0.792955i 0.995368 0.0961357i \(-0.0306483\pi\)
−0.457732 + 0.889090i \(0.651338\pi\)
\(62\) 0.387763 7.15187i 0.0492460 0.908288i
\(63\) 0.914981 2.29643i 0.115277 0.289323i
\(64\) 6.74355 3.11990i 0.842943 0.389987i
\(65\) 0.0201365 0.0121157i 0.00249762 0.00150277i
\(66\) 1.60379 5.77632i 0.197413 0.711016i
\(67\) −10.1088 + 2.22511i −1.23499 + 0.271841i −0.784040 0.620710i \(-0.786844\pi\)
−0.450946 + 0.892551i \(0.648913\pi\)
\(68\) −0.939069 0.102130i −0.113879 0.0123851i
\(69\) 3.38430 + 2.03627i 0.407422 + 0.245138i
\(70\) −0.472345 + 0.447429i −0.0564560 + 0.0534780i
\(71\) −5.43004 2.51220i −0.644427 0.298144i 0.0703226 0.997524i \(-0.477597\pi\)
−0.714749 + 0.699381i \(0.753459\pi\)
\(72\) −3.01142 + 0.327512i −0.354899 + 0.0385976i
\(73\) 4.89473 1.64922i 0.572884 0.193027i −0.0179238 0.999839i \(-0.505706\pi\)
0.590808 + 0.806812i \(0.298809\pi\)
\(74\) 2.83896 + 7.12525i 0.330022 + 0.828294i
\(75\) 3.58279 + 3.39380i 0.413705 + 0.391882i
\(76\) 2.06196 + 7.42652i 0.236523 + 0.851880i
\(77\) 6.72392 + 12.6827i 0.766261 + 1.44532i
\(78\) 0.0757563 0.0575885i 0.00857771 0.00652061i
\(79\) −0.392334 7.23617i −0.0441410 0.814133i −0.933863 0.357631i \(-0.883585\pi\)
0.889722 0.456503i \(-0.150898\pi\)
\(80\) 0.304099 + 0.102463i 0.0339993 + 0.0114557i
\(81\) 0.976621 + 0.214970i 0.108513 + 0.0238856i
\(82\) 1.74450 3.29048i 0.192648 0.363373i
\(83\) 1.11493 + 6.80077i 0.122379 + 0.746481i 0.974709 + 0.223477i \(0.0717407\pi\)
−0.852330 + 0.523005i \(0.824811\pi\)
\(84\) 1.49511 1.76018i 0.163130 0.192052i
\(85\) −0.166879 0.196465i −0.0181005 0.0213096i
\(86\) 0.273106 1.66587i 0.0294498 0.179636i
\(87\) 5.92433 + 4.50356i 0.635155 + 0.482832i
\(88\) 9.87147 14.5593i 1.05230 1.55203i
\(89\) −1.47495 + 2.17538i −0.156344 + 0.230590i −0.897791 0.440421i \(-0.854829\pi\)
0.741448 + 0.671011i \(0.234140\pi\)
\(90\) −0.209527 0.159278i −0.0220861 0.0167894i
\(91\) −0.0368643 + 0.224862i −0.00386442 + 0.0235719i
\(92\) 2.38884 + 2.81235i 0.249053 + 0.293208i
\(93\) −4.49151 + 5.28781i −0.465748 + 0.548321i
\(94\) 0.839844 + 5.12282i 0.0866232 + 0.528378i
\(95\) −0.985195 + 1.85828i −0.101079 + 0.190655i
\(96\) −4.64769 1.02303i −0.474353 0.104413i
\(97\) −13.5742 4.57367i −1.37825 0.464385i −0.469943 0.882697i \(-0.655726\pi\)
−0.908304 + 0.418311i \(0.862622\pi\)
\(98\) 0.0496987 + 0.916639i 0.00502033 + 0.0925945i
\(99\) −4.62288 + 3.51422i −0.464617 + 0.353193i
\(100\) 2.15960 + 4.07345i 0.215960 + 0.407345i
\(101\) 0.285585 + 1.02858i 0.0284168 + 0.102348i 0.976399 0.215977i \(-0.0692935\pi\)
−0.947982 + 0.318325i \(0.896880\pi\)
\(102\) −0.757794 0.717821i −0.0750328 0.0710748i
\(103\) −3.23629 8.12247i −0.318881 0.800331i −0.997811 0.0661281i \(-0.978935\pi\)
0.678930 0.734203i \(-0.262444\pi\)
\(104\) 0.264607 0.0891565i 0.0259468 0.00874251i
\(105\) 0.626533 0.0681395i 0.0611433 0.00664974i
\(106\) 8.76040 + 4.05299i 0.850885 + 0.393661i
\(107\) 7.76094 7.35156i 0.750279 0.710702i −0.213636 0.976913i \(-0.568531\pi\)
0.963915 + 0.266212i \(0.0857720\pi\)
\(108\) 0.800517 + 0.481655i 0.0770298 + 0.0463473i
\(109\) 16.2705 + 1.76952i 1.55843 + 0.169489i 0.846356 0.532618i \(-0.178792\pi\)
0.712072 + 0.702107i \(0.247757\pi\)
\(110\) 1.49263 0.328552i 0.142317 0.0313262i
\(111\) 1.98764 7.15882i 0.188658 0.679485i
\(112\) −2.66609 + 1.60413i −0.251922 + 0.151576i
\(113\) 11.9225 5.51592i 1.12157 0.518894i 0.230643 0.973038i \(-0.425917\pi\)
0.890928 + 0.454144i \(0.150055\pi\)
\(114\) −3.15240 + 7.91192i −0.295249 + 0.741019i
\(115\) −0.0545153 + 1.00548i −0.00508358 + 0.0937612i
\(116\) 3.90162 + 5.75446i 0.362256 + 0.534288i
\(117\) −0.0921779 −0.00852185
\(118\) 4.51807 6.51662i 0.415922 0.599904i
\(119\) 2.49941 0.229121
\(120\) −0.433392 0.639206i −0.0395631 0.0583512i
\(121\) 1.23008 22.6875i 0.111826 2.06250i
\(122\) −2.85916 + 7.17594i −0.258856 + 0.649679i
\(123\) −3.27417 + 1.51479i −0.295222 + 0.136584i
\(124\) −5.55392 + 3.34168i −0.498756 + 0.300092i
\(125\) −0.677620 + 2.44057i −0.0606082 + 0.218291i
\(126\) 2.49231 0.548599i 0.222033 0.0488731i
\(127\) −4.52022 0.491604i −0.401105 0.0436228i −0.0946562 0.995510i \(-0.530175\pi\)
−0.306448 + 0.951887i \(0.599141\pi\)
\(128\) −1.58281 0.952342i −0.139902 0.0841760i
\(129\) −1.18715 + 1.12453i −0.104523 + 0.0990096i
\(130\) 0.0220184 + 0.0101868i 0.00193114 + 0.000893442i
\(131\) −11.9929 + 1.30431i −1.04783 + 0.113958i −0.615800 0.787902i \(-0.711167\pi\)
−0.432027 + 0.901861i \(0.642202\pi\)
\(132\) −5.14115 + 1.73226i −0.447480 + 0.150774i
\(133\) −7.54851 18.9453i −0.654539 1.64277i
\(134\) −7.75775 7.34853i −0.670167 0.634816i
\(135\) 0.0682053 + 0.245653i 0.00587018 + 0.0211425i
\(136\) −1.43463 2.70599i −0.123018 0.232037i
\(137\) 1.28274 0.975113i 0.109592 0.0833096i −0.548943 0.835860i \(-0.684970\pi\)
0.658535 + 0.752550i \(0.271177\pi\)
\(138\) 0.220749 + 4.07147i 0.0187914 + 0.346587i
\(139\) 0.214967 + 0.0724310i 0.0182333 + 0.00614352i 0.328403 0.944538i \(-0.393489\pi\)
−0.310170 + 0.950681i \(0.600386\pi\)
\(140\) 0.575023 + 0.126572i 0.0485983 + 0.0106973i
\(141\) 2.35540 4.44276i 0.198361 0.374148i
\(142\) −0.999260 6.09521i −0.0838560 0.511499i
\(143\) 0.346529 0.407965i 0.0289782 0.0341158i
\(144\) −0.814856 0.959323i −0.0679047 0.0799436i
\(145\) −0.306940 + 1.87225i −0.0254900 + 0.155482i
\(146\) 4.24493 + 3.22691i 0.351313 + 0.267061i
\(147\) 0.499017 0.735995i 0.0411582 0.0607038i
\(148\) 3.89527 5.74509i 0.320189 0.472243i
\(149\) 7.62590 + 5.79706i 0.624738 + 0.474914i 0.869011 0.494793i \(-0.164756\pi\)
−0.244273 + 0.969707i \(0.578549\pi\)
\(150\) −0.824225 + 5.02755i −0.0672977 + 0.410498i
\(151\) 9.04458 + 10.6481i 0.736038 + 0.866530i 0.995053 0.0993427i \(-0.0316740\pi\)
−0.259016 + 0.965873i \(0.583398\pi\)
\(152\) −16.1785 + 19.0468i −1.31225 + 1.54490i
\(153\) 0.163576 + 0.997769i 0.0132243 + 0.0806648i
\(154\) −6.94145 + 13.0930i −0.559358 + 1.05506i
\(155\) −1.72744 0.380239i −0.138751 0.0305415i
\(156\) −0.0816091 0.0274973i −0.00653395 0.00220155i
\(157\) −0.418574 7.72014i −0.0334058 0.616134i −0.966526 0.256569i \(-0.917408\pi\)
0.933120 0.359565i \(-0.117075\pi\)
\(158\) 5.95578 4.52746i 0.473816 0.360186i
\(159\) −4.37963 8.26087i −0.347328 0.655129i
\(160\) −0.324586 1.16905i −0.0256608 0.0924217i
\(161\) −7.08832 6.71441i −0.558638 0.529170i
\(162\) 0.382113 + 0.959032i 0.0300216 + 0.0753486i
\(163\) −7.44619 + 2.50891i −0.583230 + 0.196513i −0.595423 0.803413i \(-0.703015\pi\)
0.0121925 + 0.999926i \(0.496119\pi\)
\(164\) −3.35064 + 0.364404i −0.261641 + 0.0284552i
\(165\) −1.34363 0.621630i −0.104602 0.0483939i
\(166\) −5.16511 + 4.89265i −0.400890 + 0.379743i
\(167\) 11.9764 + 7.20596i 0.926762 + 0.557614i 0.897043 0.441944i \(-0.145711\pi\)
0.0297193 + 0.999558i \(0.490539\pi\)
\(168\) 7.44423 + 0.809609i 0.574335 + 0.0624627i
\(169\) −12.6878 + 2.79279i −0.975982 + 0.214830i
\(170\) 0.0711927 0.256413i 0.00546023 0.0196660i
\(171\) 7.06899 4.25327i 0.540579 0.325256i
\(172\) −1.38649 + 0.641460i −0.105719 + 0.0489109i
\(173\) −1.54463 + 3.87672i −0.117436 + 0.294742i −0.975931 0.218080i \(-0.930021\pi\)
0.858495 + 0.512822i \(0.171400\pi\)
\(174\) −0.415923 + 7.67125i −0.0315311 + 0.581556i
\(175\) −6.84610 10.0972i −0.517517 0.763280i
\(176\) 7.30914 0.550947
\(177\) −7.30419 + 2.37672i −0.549017 + 0.178645i
\(178\) −2.71329 −0.203370
\(179\) −6.68748 9.86330i −0.499846 0.737217i 0.491155 0.871072i \(-0.336575\pi\)
−0.991001 + 0.133855i \(0.957264\pi\)
\(180\) −0.0128950 + 0.237834i −0.000961134 + 0.0177271i
\(181\) −7.62678 + 19.1418i −0.566894 + 1.42280i 0.313972 + 0.949432i \(0.398340\pi\)
−0.880866 + 0.473365i \(0.843039\pi\)
\(182\) −0.213494 + 0.0987730i −0.0158252 + 0.00732154i
\(183\) 6.41142 3.85763i 0.473946 0.285164i
\(184\) −3.20078 + 11.5282i −0.235964 + 0.849867i
\(185\) 1.84987 0.407188i 0.136005 0.0299370i
\(186\) −7.12039 0.774389i −0.522092 0.0567810i
\(187\) −5.03091 3.02700i −0.367897 0.221356i
\(188\) 3.41064 3.23073i 0.248747 0.235625i
\(189\) −2.24353 1.03797i −0.163193 0.0755009i
\(190\) −2.15860 + 0.234762i −0.156601 + 0.0170314i
\(191\) −3.97059 + 1.33785i −0.287302 + 0.0968034i −0.459263 0.888300i \(-0.651886\pi\)
0.171961 + 0.985104i \(0.444990\pi\)
\(192\) −2.75023 6.90256i −0.198481 0.498150i
\(193\) 10.8707 + 10.2973i 0.782489 + 0.741213i 0.970538 0.240947i \(-0.0774579\pi\)
−0.188049 + 0.982160i \(0.560216\pi\)
\(194\) −3.95605 14.2484i −0.284028 1.02297i
\(195\) −0.0110078 0.0207629i −0.000788284 0.00148686i
\(196\) 0.661353 0.502748i 0.0472395 0.0359105i
\(197\) −0.740399 13.6559i −0.0527512 0.972939i −0.898394 0.439190i \(-0.855265\pi\)
0.845643 0.533749i \(-0.179217\pi\)
\(198\) −5.68102 1.91416i −0.403733 0.136033i
\(199\) −19.1124 4.20696i −1.35484 0.298224i −0.522574 0.852594i \(-0.675028\pi\)
−0.832270 + 0.554370i \(0.812959\pi\)
\(200\) −7.00224 + 13.2076i −0.495133 + 0.933920i
\(201\) 1.67457 + 10.2144i 0.118115 + 0.720471i
\(202\) −0.713440 + 0.839927i −0.0501975 + 0.0590970i
\(203\) −11.9093 14.0207i −0.835871 0.984064i
\(204\) −0.152820 + 0.932163i −0.0106996 + 0.0652645i
\(205\) −0.732202 0.556606i −0.0511392 0.0388750i
\(206\) 5.06546 7.47100i 0.352928 0.520529i
\(207\) 2.21650 3.26910i 0.154058 0.227218i
\(208\) 0.0923651 + 0.0702142i 0.00640437 + 0.00486848i
\(209\) −7.75048 + 47.2758i −0.536112 + 3.27014i
\(210\) 0.421200 + 0.495875i 0.0290656 + 0.0342186i
\(211\) 5.99018 7.05218i 0.412381 0.485492i −0.516281 0.856419i \(-0.672684\pi\)
0.928662 + 0.370927i \(0.120960\pi\)
\(212\) −1.41321 8.62017i −0.0970594 0.592036i
\(213\) −2.80249 + 5.28606i −0.192024 + 0.362195i
\(214\) 10.7779 + 2.37240i 0.736763 + 0.162174i
\(215\) −0.395067 0.133114i −0.0269434 0.00907828i
\(216\) 0.163996 + 3.02474i 0.0111585 + 0.205807i
\(217\) 13.6534 10.3791i 0.926854 0.704576i
\(218\) 7.91418 + 14.9277i 0.536016 + 1.01103i
\(219\) −1.38181 4.97683i −0.0933741 0.336303i
\(220\) −1.00414 0.951170i −0.0676990 0.0641279i
\(221\) −0.0344969 0.0865806i −0.00232051 0.00582404i
\(222\) 7.26850 2.44904i 0.487830 0.164369i
\(223\) 28.1185 3.05807i 1.88295 0.204783i 0.906754 0.421660i \(-0.138552\pi\)
0.976199 + 0.216877i \(0.0695869\pi\)
\(224\) 10.6768 + 4.93963i 0.713376 + 0.330043i
\(225\) 3.58279 3.39380i 0.238853 0.226253i
\(226\) 11.6204 + 6.99174i 0.772976 + 0.465084i
\(227\) −5.95236 0.647358i −0.395072 0.0429667i −0.0915728 0.995798i \(-0.529189\pi\)
−0.303499 + 0.952832i \(0.598155\pi\)
\(228\) 7.52726 1.65688i 0.498505 0.109729i
\(229\) −2.13421 + 7.68673i −0.141033 + 0.507953i −0.999992 0.00409088i \(-0.998698\pi\)
0.858959 + 0.512044i \(0.171112\pi\)
\(230\) −0.890730 + 0.535934i −0.0587330 + 0.0353385i
\(231\) 13.0281 6.02743i 0.857184 0.396576i
\(232\) −8.34381 + 20.9414i −0.547798 + 1.37487i
\(233\) 0.221479 4.08494i 0.0145096 0.267614i −0.982273 0.187457i \(-0.939975\pi\)
0.996782 0.0801562i \(-0.0255419\pi\)
\(234\) −0.0534026 0.0787630i −0.00349104 0.00514890i
\(235\) 1.28200 0.0836286
\(236\) −7.17570 0.0746741i −0.467099 0.00486087i
\(237\) −7.24680 −0.470730
\(238\) 1.44802 + 2.13566i 0.0938609 + 0.138434i
\(239\) 1.29799 23.9399i 0.0839597 1.54855i −0.588552 0.808459i \(-0.700302\pi\)
0.672512 0.740087i \(-0.265216\pi\)
\(240\) 0.118776 0.298106i 0.00766698 0.0192427i
\(241\) 9.70285 4.48902i 0.625015 0.289163i −0.0817042 0.996657i \(-0.526036\pi\)
0.706720 + 0.707494i \(0.250174\pi\)
\(242\) 20.0984 12.0928i 1.29197 0.777354i
\(243\) 0.267528 0.963550i 0.0171620 0.0618118i
\(244\) 6.82706 1.50275i 0.437058 0.0962037i
\(245\) 0.225373 + 0.0245108i 0.0143986 + 0.00156594i
\(246\) −3.19121 1.92009i −0.203464 0.122420i
\(247\) −0.552090 + 0.522967i −0.0351286 + 0.0332756i
\(248\) −19.0738 8.82447i −1.21119 0.560354i
\(249\) 6.85116 0.745108i 0.434174 0.0472193i
\(250\) −2.47796 + 0.834922i −0.156720 + 0.0528051i
\(251\) −9.36812 23.5122i −0.591311 1.48408i −0.854561 0.519350i \(-0.826174\pi\)
0.263251 0.964727i \(-0.415205\pi\)
\(252\) −1.67666 1.58821i −0.105620 0.100048i
\(253\) 6.13592 + 22.0996i 0.385762 + 1.38939i
\(254\) −2.19870 4.14719i −0.137959 0.260218i
\(255\) −0.205211 + 0.155998i −0.0128508 + 0.00976895i
\(256\) −0.907777 16.7430i −0.0567361 1.04644i
\(257\) 24.5966 + 8.28754i 1.53429 + 0.516963i 0.954604 0.297877i \(-0.0962785\pi\)
0.579686 + 0.814840i \(0.303175\pi\)
\(258\) −1.64865 0.362894i −0.102640 0.0225928i
\(259\) −8.60281 + 16.2266i −0.534553 + 1.00827i
\(260\) −0.00355196 0.0216660i −0.000220283 0.00134367i
\(261\) 4.81769 5.67182i 0.298208 0.351077i
\(262\) −8.06251 9.49192i −0.498104 0.586413i
\(263\) 3.36412 20.5202i 0.207441 1.26533i −0.653617 0.756825i \(-0.726749\pi\)
0.861058 0.508507i \(-0.169802\pi\)
\(264\) −14.0035 10.6452i −0.861858 0.655168i
\(265\) 1.33773 1.97301i 0.0821763 0.121201i
\(266\) 11.8150 17.4258i 0.724423 1.06844i
\(267\) 2.09234 + 1.59055i 0.128049 + 0.0973404i
\(268\) −1.56446 + 9.54281i −0.0955649 + 0.582920i
\(269\) −13.5249 15.9227i −0.824626 0.970825i 0.175280 0.984519i \(-0.443917\pi\)
−0.999906 + 0.0136937i \(0.995641\pi\)
\(270\) −0.170388 + 0.200597i −0.0103695 + 0.0122079i
\(271\) −0.287363 1.75283i −0.0174560 0.106477i 0.976661 0.214785i \(-0.0689051\pi\)
−0.994117 + 0.108308i \(0.965457\pi\)
\(272\) 0.596116 1.12439i 0.0361449 0.0681765i
\(273\) 0.222536 + 0.0489840i 0.0134685 + 0.00296465i
\(274\) 1.57635 + 0.531134i 0.0952307 + 0.0320870i
\(275\) 1.55148 + 28.6154i 0.0935577 + 1.72557i
\(276\) 2.93756 2.23307i 0.176820 0.134415i
\(277\) 5.11690 + 9.65149i 0.307444 + 0.579902i 0.988301 0.152515i \(-0.0487372\pi\)
−0.680857 + 0.732417i \(0.738392\pi\)
\(278\) 0.0626500 + 0.225645i 0.00375750 + 0.0135333i
\(279\) 5.03689 + 4.77120i 0.301551 + 0.285644i
\(280\) 0.706620 + 1.77348i 0.0422286 + 0.105986i
\(281\) −6.35924 + 2.14268i −0.379361 + 0.127821i −0.502520 0.864565i \(-0.667594\pi\)
0.123160 + 0.992387i \(0.460697\pi\)
\(282\) 5.16077 0.561268i 0.307320 0.0334230i
\(283\) 24.7681 + 11.4589i 1.47231 + 0.681162i 0.981738 0.190239i \(-0.0609264\pi\)
0.490570 + 0.871402i \(0.336788\pi\)
\(284\) −4.05804 + 3.84398i −0.240800 + 0.228098i
\(285\) 1.80221 + 1.08436i 0.106754 + 0.0642317i
\(286\) 0.549352 + 0.0597456i 0.0324839 + 0.00353283i
\(287\) 8.70950 1.91711i 0.514105 0.113163i
\(288\) −1.27315 + 4.58549i −0.0750213 + 0.270202i
\(289\) 13.6906 8.23737i 0.805330 0.484551i
\(290\) −1.77760 + 0.822407i −0.104384 + 0.0482934i
\(291\) −5.30185 + 13.3066i −0.310800 + 0.780049i
\(292\) 0.261246 4.81841i 0.0152883 0.281976i
\(293\) −3.64107 5.37018i −0.212714 0.313729i 0.706332 0.707881i \(-0.250349\pi\)
−0.919045 + 0.394152i \(0.871038\pi\)
\(294\) 0.917985 0.0535380
\(295\) −1.40761 1.36143i −0.0819543 0.0792654i
\(296\) 22.5057 1.30812
\(297\) 3.25879 + 4.80636i 0.189094 + 0.278893i
\(298\) −0.535384 + 9.87457i −0.0310139 + 0.572019i
\(299\) −0.134757 + 0.338215i −0.00779320 + 0.0195595i
\(300\) 4.18439 1.93590i 0.241586 0.111770i
\(301\) 3.46362 2.08399i 0.199640 0.120119i
\(302\) −3.85854 + 13.8972i −0.222034 + 0.799694i
\(303\) 1.04254 0.229480i 0.0598922 0.0131833i
\(304\) −10.3232 1.12271i −0.592074 0.0643920i
\(305\) 1.63457 + 0.983487i 0.0935951 + 0.0563143i
\(306\) −0.757794 + 0.717821i −0.0433202 + 0.0410351i
\(307\) −8.35230 3.86418i −0.476691 0.220541i 0.166806 0.985990i \(-0.446655\pi\)
−0.643496 + 0.765449i \(0.722517\pi\)
\(308\) 13.3323 1.44998i 0.759680 0.0826202i
\(309\) −8.28577 + 2.79180i −0.471361 + 0.158820i
\(310\) −0.675880 1.69633i −0.0383874 0.0963451i
\(311\) 6.98977 + 6.62107i 0.396354 + 0.375446i 0.859759 0.510700i \(-0.170614\pi\)
−0.463405 + 0.886147i \(0.653372\pi\)
\(312\) −0.0747002 0.269046i −0.00422906 0.0152317i
\(313\) −2.53318 4.77808i −0.143184 0.270073i 0.801540 0.597942i \(-0.204015\pi\)
−0.944723 + 0.327869i \(0.893670\pi\)
\(314\) 6.35411 4.83027i 0.358583 0.272588i
\(315\) −0.0341198 0.629303i −0.00192243 0.0354572i
\(316\) −6.41590 2.16177i −0.360923 0.121609i
\(317\) −5.10251 1.12315i −0.286585 0.0630822i 0.0693513 0.997592i \(-0.477907\pi\)
−0.355937 + 0.934510i \(0.615838\pi\)
\(318\) 4.52133 8.52813i 0.253543 0.478234i
\(319\) 6.99125 + 42.6447i 0.391435 + 2.38765i
\(320\) 1.22636 1.44378i 0.0685555 0.0807098i
\(321\) −6.92061 8.14757i −0.386271 0.454753i
\(322\) 1.63068 9.94668i 0.0908740 0.554307i
\(323\) 6.64052 + 5.04799i 0.369488 + 0.280878i
\(324\) 0.524288 0.773267i 0.0291271 0.0429593i
\(325\) −0.255283 + 0.376514i −0.0141606 + 0.0208853i
\(326\) −6.45768 4.90900i −0.357658 0.271884i
\(327\) 2.64779 16.1508i 0.146423 0.893141i
\(328\) −7.07469 8.32896i −0.390634 0.459890i
\(329\) −8.04733 + 9.47405i −0.443664 + 0.522321i
\(330\) −0.247261 1.50823i −0.0136113 0.0830251i
\(331\) −12.4262 + 23.4383i −0.683005 + 1.28828i 0.263207 + 0.964739i \(0.415220\pi\)
−0.946213 + 0.323545i \(0.895125\pi\)
\(332\) 6.28789 + 1.38407i 0.345093 + 0.0759607i
\(333\) −7.04072 2.37229i −0.385829 0.130001i
\(334\) 0.781188 + 14.4082i 0.0427447 + 0.788380i
\(335\) −2.10081 + 1.59699i −0.114779 + 0.0872529i
\(336\) 1.45744 + 2.74902i 0.0795098 + 0.149971i
\(337\) 1.29669 + 4.67025i 0.0706351 + 0.254405i 0.990434 0.137985i \(-0.0440624\pi\)
−0.919799 + 0.392389i \(0.871649\pi\)
\(338\) −9.73692 9.22330i −0.529618 0.501681i
\(339\) −4.86236 12.2036i −0.264087 0.662809i
\(340\) −0.228218 + 0.0768954i −0.0123768 + 0.00417024i
\(341\) −40.0520 + 4.35592i −2.16894 + 0.235886i
\(342\) 7.72965 + 3.57612i 0.417972 + 0.193374i
\(343\) −14.1585 + 13.4116i −0.764485 + 0.724159i
\(344\) −4.24431 2.55371i −0.228838 0.137687i
\(345\) 1.00105 + 0.108871i 0.0538947 + 0.00586141i
\(346\) −4.20740 + 0.926119i −0.226191 + 0.0497884i
\(347\) −8.58802 + 30.9313i −0.461029 + 1.66048i 0.258497 + 0.966012i \(0.416773\pi\)
−0.719526 + 0.694465i \(0.755641\pi\)
\(348\) 5.95725 3.58436i 0.319342 0.192142i
\(349\) 1.20531 0.557638i 0.0645190 0.0298497i −0.387364 0.921927i \(-0.626614\pi\)
0.451883 + 0.892077i \(0.350752\pi\)
\(350\) 4.66152 11.6995i 0.249169 0.625367i
\(351\) −0.00499041 + 0.0920427i −0.000266368 + 0.00491288i
\(352\) −15.5084 22.8732i −0.826602 1.21915i
\(353\) 4.55153 0.242253 0.121127 0.992637i \(-0.461349\pi\)
0.121127 + 0.992637i \(0.461349\pi\)
\(354\) −6.26246 4.86425i −0.332846 0.258532i
\(355\) −1.52535 −0.0809570
\(356\) 1.37796 + 2.03235i 0.0730320 + 0.107714i
\(357\) 0.135315 2.49574i 0.00716165 0.132089i
\(358\) 4.55352 11.4285i 0.240661 0.604013i
\(359\) −1.34551 + 0.622500i −0.0710134 + 0.0328543i −0.455074 0.890453i \(-0.650387\pi\)
0.384061 + 0.923308i \(0.374525\pi\)
\(360\) −0.661732 + 0.398151i −0.0348763 + 0.0209844i
\(361\) 13.1252 47.2727i 0.690800 2.48804i
\(362\) −20.7745 + 4.57282i −1.09189 + 0.240342i
\(363\) −22.5876 2.45655i −1.18554 0.128936i
\(364\) 0.182409 + 0.109752i 0.00956082 + 0.00575255i
\(365\) 0.956008 0.905578i 0.0500397 0.0474001i
\(366\) 7.01063 + 3.24346i 0.366451 + 0.169538i
\(367\) −27.5019 + 2.99101i −1.43559 + 0.156130i −0.792598 0.609745i \(-0.791272\pi\)
−0.642990 + 0.765874i \(0.722307\pi\)
\(368\) −4.71116 + 1.58737i −0.245586 + 0.0827476i
\(369\) 1.33531 + 3.35138i 0.0695135 + 0.174466i
\(370\) 1.41964 + 1.34475i 0.0738035 + 0.0699104i
\(371\) 6.18346 + 22.2708i 0.321029 + 1.15624i
\(372\) 3.03610 + 5.72669i 0.157414 + 0.296915i
\(373\) 6.12269 4.65434i 0.317021 0.240993i −0.434547 0.900649i \(-0.643091\pi\)
0.751567 + 0.659657i \(0.229298\pi\)
\(374\) −0.328153 6.05242i −0.0169684 0.312963i
\(375\) 2.40030 + 0.808756i 0.123951 + 0.0417640i
\(376\) 14.8762 + 3.27449i 0.767179 + 0.168869i
\(377\) −0.321312 + 0.606059i −0.0165484 + 0.0312136i
\(378\) −0.412864 2.51836i −0.0212354 0.129530i
\(379\) 1.13016 1.33052i 0.0580523 0.0683444i −0.732369 0.680907i \(-0.761586\pi\)
0.790422 + 0.612563i \(0.209861\pi\)
\(380\) 1.27211 + 1.49764i 0.0652576 + 0.0768272i
\(381\) −0.735602 + 4.48698i −0.0376861 + 0.229875i
\(382\) −3.44348 2.61767i −0.176184 0.133932i
\(383\) 8.31932 12.2701i 0.425097 0.626971i −0.553477 0.832864i \(-0.686699\pi\)
0.978575 + 0.205893i \(0.0660098\pi\)
\(384\) −1.03664 + 1.52893i −0.0529007 + 0.0780226i
\(385\) 2.91347 + 2.21476i 0.148484 + 0.112875i
\(386\) −2.50081 + 15.2543i −0.127288 + 0.776423i
\(387\) 1.05861 + 1.24629i 0.0538123 + 0.0633527i
\(388\) −8.66341 + 10.1994i −0.439818 + 0.517794i
\(389\) 2.40491 + 14.6693i 0.121934 + 0.743762i 0.975041 + 0.222026i \(0.0712670\pi\)
−0.853107 + 0.521736i \(0.825285\pi\)
\(390\) 0.0113639 0.0214346i 0.000575435 0.00108538i
\(391\) 3.90010 + 0.858477i 0.197237 + 0.0434150i
\(392\) 2.55260 + 0.860069i 0.128926 + 0.0434401i
\(393\) 0.653113 + 12.0460i 0.0329452 + 0.607638i
\(394\) 11.2395 8.54407i 0.566239 0.430444i
\(395\) −0.865406 1.63233i −0.0435433 0.0821313i
\(396\) 1.45138 + 5.22740i 0.0729346 + 0.262687i
\(397\) −14.1584 13.4115i −0.710589 0.673105i 0.244425 0.969668i \(-0.421401\pi\)
−0.955013 + 0.296563i \(0.904160\pi\)
\(398\) −7.47794 18.7682i −0.374835 0.940766i
\(399\) −19.3262 + 6.51176i −0.967521 + 0.325996i
\(400\) −6.17521 + 0.671594i −0.308760 + 0.0335797i
\(401\) −23.6123 10.9242i −1.17914 0.545530i −0.270344 0.962764i \(-0.587138\pi\)
−0.908799 + 0.417234i \(0.863000\pi\)
\(402\) −7.75775 + 7.34853i −0.386921 + 0.366511i
\(403\) −0.547979 0.329708i −0.0272968 0.0164239i
\(404\) 0.991459 + 0.107828i 0.0493269 + 0.00536462i
\(405\) 0.248986 0.0548059i 0.0123722 0.00272333i
\(406\) 5.08068 18.2990i 0.252150 0.908162i
\(407\) 36.9679 22.2429i 1.83243 1.10254i
\(408\) −2.77969 + 1.28602i −0.137615 + 0.0636676i
\(409\) −8.11419 + 20.3651i −0.401221 + 1.00699i 0.580089 + 0.814553i \(0.303018\pi\)
−0.981310 + 0.192436i \(0.938361\pi\)
\(410\) 0.0514049 0.948108i 0.00253871 0.0468237i
\(411\) −0.904237 1.33365i −0.0446027 0.0657841i
\(412\) −8.16856 −0.402436
\(413\) 18.8968 1.85640i 0.929852 0.0913476i
\(414\) 4.07745 0.200396
\(415\) 0.985992 + 1.45423i 0.0484004 + 0.0713853i
\(416\) 0.0237491 0.438027i 0.00116440 0.0214760i
\(417\) 0.0839629 0.210731i 0.00411168 0.0103195i
\(418\) −44.8858 + 20.7664i −2.19544 + 1.01572i
\(419\) 11.8424 7.12535i 0.578541 0.348096i −0.196016 0.980601i \(-0.562801\pi\)
0.774557 + 0.632504i \(0.217973\pi\)
\(420\) 0.157517 0.567327i 0.00768607 0.0276827i
\(421\) −4.28374 + 0.942922i −0.208777 + 0.0459552i −0.318127 0.948048i \(-0.603054\pi\)
0.109351 + 0.994003i \(0.465123\pi\)
\(422\) 9.49622 + 1.03278i 0.462269 + 0.0502748i
\(423\) −4.30872 2.59247i −0.209497 0.126050i
\(424\) 20.5623 19.4777i 0.998594 0.945919i
\(425\) 4.52855 + 2.09513i 0.219667 + 0.101629i
\(426\) −6.14037 + 0.667806i −0.297502 + 0.0323553i
\(427\) −17.5285 + 5.90603i −0.848262 + 0.285813i
\(428\) −3.69663 9.27785i −0.178684 0.448462i
\(429\) −0.388606 0.368108i −0.0187621 0.0177724i
\(430\) −0.115138 0.414691i −0.00555246 0.0199982i
\(431\) 4.42992 + 8.35572i 0.213382 + 0.402481i 0.966979 0.254855i \(-0.0820279\pi\)
−0.753597 + 0.657336i \(0.771683\pi\)
\(432\) −1.00203 + 0.761724i −0.0482102 + 0.0366485i
\(433\) 0.500707 + 9.23499i 0.0240624 + 0.443805i 0.985596 + 0.169117i \(0.0540917\pi\)
−0.961533 + 0.274688i \(0.911426\pi\)
\(434\) 16.7786 + 5.65336i 0.805397 + 0.271370i
\(435\) 1.85289 + 0.407852i 0.0888393 + 0.0195550i
\(436\) 7.16209 13.5091i 0.343002 0.646971i
\(437\) −5.27157 32.1552i −0.252173 1.53819i
\(438\) 3.45200 4.06401i 0.164943 0.194186i
\(439\) 14.0832 + 16.5801i 0.672156 + 0.791323i 0.987494 0.157656i \(-0.0503938\pi\)
−0.315338 + 0.948979i \(0.602118\pi\)
\(440\) 0.725526 4.42551i 0.0345881 0.210978i
\(441\) −0.707899 0.538131i −0.0337095 0.0256253i
\(442\) 0.0539948 0.0796363i 0.00256827 0.00378791i
\(443\) −18.7577 + 27.6656i −0.891206 + 1.31443i 0.0575249 + 0.998344i \(0.481679\pi\)
−0.948731 + 0.316086i \(0.897631\pi\)
\(444\) −5.52578 4.20059i −0.262242 0.199351i
\(445\) −0.108404 + 0.661238i −0.00513886 + 0.0313457i
\(446\) 18.9033 + 22.2546i 0.895096 + 1.05379i
\(447\) 6.20142 7.30087i 0.293317 0.345319i
\(448\) 2.97156 + 18.1257i 0.140393 + 0.856359i
\(449\) −10.1261 + 19.0999i −0.477880 + 0.901378i 0.520976 + 0.853571i \(0.325568\pi\)
−0.998857 + 0.0478069i \(0.984777\pi\)
\(450\) 4.97555 + 1.09520i 0.234550 + 0.0516283i
\(451\) −19.8526 6.68912i −0.934822 0.314978i
\(452\) −0.664439 12.2548i −0.0312526 0.576420i
\(453\) 11.1222 8.45484i 0.522564 0.397243i
\(454\) −2.89531 5.46114i −0.135884 0.256304i
\(455\) 0.0155415 + 0.0559755i 0.000728598 + 0.00262417i
\(456\) 18.1429 + 17.1859i 0.849621 + 0.804804i
\(457\) −9.55353 23.9775i −0.446895 1.12162i −0.964048 0.265729i \(-0.914387\pi\)
0.517153 0.855893i \(-0.326992\pi\)
\(458\) −7.80450 + 2.62964i −0.364680 + 0.122875i
\(459\) 1.00516 0.109318i 0.0469169 0.00510252i
\(460\) 0.853796 + 0.395008i 0.0398084 + 0.0184173i
\(461\) −4.73865 + 4.48868i −0.220701 + 0.209059i −0.790059 0.613031i \(-0.789950\pi\)
0.569358 + 0.822089i \(0.307192\pi\)
\(462\) 12.6980 + 7.64011i 0.590763 + 0.355450i
\(463\) 41.7548 + 4.54111i 1.94051 + 0.211043i 0.993811 0.111081i \(-0.0354312\pi\)
0.946698 + 0.322124i \(0.104397\pi\)
\(464\) −9.14784 + 2.01359i −0.424678 + 0.0934787i
\(465\) −0.473203 + 1.70432i −0.0219442 + 0.0790360i
\(466\) 3.61876 2.17734i 0.167636 0.100863i
\(467\) 3.00713 1.39125i 0.139154 0.0643793i −0.349077 0.937094i \(-0.613505\pi\)
0.488230 + 0.872715i \(0.337643\pi\)
\(468\) −0.0318752 + 0.0800007i −0.00147343 + 0.00369803i
\(469\) 1.38526 25.5496i 0.0639654 1.17977i
\(470\) 0.742719 + 1.09543i 0.0342591 + 0.0505283i
\(471\) −7.73148 −0.356248
\(472\) −12.8563 19.3931i −0.591761 0.892642i
\(473\) −9.49560 −0.436608
\(474\) −4.19838 6.19215i −0.192838 0.284415i
\(475\) 2.20417 40.6536i 0.101134 1.86531i
\(476\) 0.864298 2.16922i 0.0396150 0.0994262i
\(477\) −8.48586 + 3.92598i −0.388541 + 0.179758i
\(478\) 21.2079 12.7604i 0.970025 0.583645i
\(479\) −4.39684 + 15.8360i −0.200897 + 0.723564i 0.792604 + 0.609737i \(0.208725\pi\)
−0.993501 + 0.113827i \(0.963689\pi\)
\(480\) −1.18491 + 0.260818i −0.0540835 + 0.0119047i
\(481\) 0.680834 + 0.0740451i 0.0310433 + 0.00337617i
\(482\) 9.45699 + 5.69009i 0.430754 + 0.259176i
\(483\) −7.08832 + 6.71441i −0.322530 + 0.305516i
\(484\) −19.2650 8.91294i −0.875682 0.405133i
\(485\) −3.63043 + 0.394833i −0.164850 + 0.0179285i
\(486\) 0.978312 0.329632i 0.0443772 0.0149524i
\(487\) 8.89222 + 22.3178i 0.402945 + 1.01132i 0.980772 + 0.195156i \(0.0625215\pi\)
−0.577827 + 0.816159i \(0.696099\pi\)
\(488\) 16.4553 + 15.5873i 0.744895 + 0.705602i
\(489\) 2.10210 + 7.57110i 0.0950604 + 0.342377i
\(490\) 0.109625 + 0.206774i 0.00495235 + 0.00934112i
\(491\) −11.0264 + 8.38205i −0.497615 + 0.378277i −0.823666 0.567075i \(-0.808075\pi\)
0.326051 + 0.945352i \(0.394282\pi\)
\(492\) 0.182469 + 3.36545i 0.00822636 + 0.151726i
\(493\) 7.13040 + 2.40251i 0.321137 + 0.108204i
\(494\) −0.766708 0.168765i −0.0344958 0.00759310i
\(495\) −0.693462 + 1.30801i −0.0311688 + 0.0587906i
\(496\) −1.41279 8.61762i −0.0634360 0.386942i
\(497\) 9.57485 11.2724i 0.429491 0.505635i
\(498\) 4.60584 + 5.42241i 0.206393 + 0.242984i
\(499\) 2.61588 15.9562i 0.117103 0.714296i −0.861379 0.507963i \(-0.830399\pi\)
0.978482 0.206333i \(-0.0661531\pi\)
\(500\) 1.88383 + 1.43205i 0.0842476 + 0.0640433i
\(501\) 7.84378 11.5687i 0.350434 0.516852i
\(502\) 14.6631 21.6264i 0.654444 0.965233i
\(503\) 24.2462 + 18.4314i 1.08108 + 0.821818i 0.984827 0.173539i \(-0.0555202\pi\)
0.0962557 + 0.995357i \(0.469313\pi\)
\(504\) 1.21144 7.38948i 0.0539620 0.329154i
\(505\) 0.176189 + 0.207425i 0.00784029 + 0.00923031i
\(506\) −15.3286 + 18.0462i −0.681438 + 0.802251i
\(507\) 2.10179 + 12.8204i 0.0933438 + 0.569372i
\(508\) −1.98976 + 3.75308i −0.0882811 + 0.166516i
\(509\) 37.5178 + 8.25830i 1.66295 + 0.366043i 0.944237 0.329266i \(-0.106801\pi\)
0.718711 + 0.695309i \(0.244732\pi\)
\(510\) −0.252183 0.0849702i −0.0111668 0.00376254i
\(511\) 0.691253 + 12.7494i 0.0305792 + 0.564000i
\(512\) 10.8393 8.23981i 0.479033 0.364151i
\(513\) −3.86433 7.28889i −0.170614 0.321812i
\(514\) 7.16841 + 25.8183i 0.316185 + 1.13880i
\(515\) −1.61833 1.53296i −0.0713119 0.0675503i
\(516\) 0.565456 + 1.41919i 0.0248928 + 0.0624763i
\(517\) 27.6719 9.32374i 1.21701 0.410058i
\(518\) −18.8491 + 2.04996i −0.828182 + 0.0900702i
\(519\) 3.78741 + 1.75224i 0.166249 + 0.0769149i
\(520\) 0.0516814 0.0489552i 0.00226638 0.00214683i
\(521\) −23.8966 14.3781i −1.04693 0.629915i −0.115300 0.993331i \(-0.536783\pi\)
−0.931627 + 0.363416i \(0.881611\pi\)
\(522\) 7.63748 + 0.830626i 0.334284 + 0.0363555i
\(523\) 23.6807 5.21251i 1.03548 0.227927i 0.335466 0.942052i \(-0.391106\pi\)
0.700018 + 0.714125i \(0.253175\pi\)
\(524\) −3.01516 + 10.8596i −0.131718 + 0.474405i
\(525\) −10.4531 + 6.28941i −0.456210 + 0.274492i
\(526\) 19.4828 9.01372i 0.849492 0.393017i
\(527\) −2.59646 + 6.51663i −0.113104 + 0.283869i
\(528\) 0.395709 7.29842i 0.0172210 0.317623i
\(529\) 4.15285 + 6.12499i 0.180559 + 0.266304i
\(530\) 2.46088 0.106894
\(531\) 1.97780 + 7.42215i 0.0858291 + 0.322094i
\(532\) −19.0528 −0.826045
\(533\) −0.186618 0.275241i −0.00808332 0.0119220i
\(534\) −0.146895 + 2.70931i −0.00635675 + 0.117243i
\(535\) 1.00877 2.53183i 0.0436130 0.109460i
\(536\) −28.4565 + 13.1654i −1.22913 + 0.568657i
\(537\) −10.2109 + 6.14368i −0.440632 + 0.265120i
\(538\) 5.76989 20.7813i 0.248758 0.895944i
\(539\) 5.04293 1.11003i 0.217214 0.0478125i
\(540\) 0.236787 + 0.0257521i 0.0101897 + 0.00110819i
\(541\) −3.19889 1.92471i −0.137531 0.0827496i 0.445126 0.895468i \(-0.353159\pi\)
−0.582656 + 0.812719i \(0.697987\pi\)
\(542\) 1.33126 1.26103i 0.0571824 0.0541660i
\(543\) 18.7008 + 8.65191i 0.802528 + 0.371289i
\(544\) −4.78351 + 0.520238i −0.205091 + 0.0223050i
\(545\) 3.95413 1.33230i 0.169376 0.0570696i
\(546\) 0.0870698 + 0.218529i 0.00372624 + 0.00935216i
\(547\) 16.1089 + 15.2592i 0.688768 + 0.652435i 0.949787 0.312898i \(-0.101300\pi\)
−0.261019 + 0.965334i \(0.584059\pi\)
\(548\) −0.402723 1.45048i −0.0172035 0.0619613i
\(549\) −3.50486 6.61087i −0.149584 0.282145i
\(550\) −23.5520 + 17.9038i −1.00426 + 0.763420i
\(551\) −3.32379 61.3038i −0.141598 2.61163i
\(552\) 11.3380 + 3.82021i 0.482576 + 0.162599i
\(553\) 17.4953 + 3.85100i 0.743975 + 0.163761i
\(554\) −5.28244 + 9.96374i −0.224429 + 0.423319i
\(555\) −0.306440 1.86920i −0.0130077 0.0793433i
\(556\) 0.137198 0.161522i 0.00581851 0.00685007i
\(557\) −6.70842 7.89776i −0.284245 0.334639i 0.601447 0.798913i \(-0.294591\pi\)
−0.885692 + 0.464274i \(0.846315\pi\)
\(558\) −1.15874 + 7.06802i −0.0490535 + 0.299213i
\(559\) −0.119995 0.0912180i −0.00507526 0.00385811i
\(560\) −0.445166 + 0.656571i −0.0188117 + 0.0277452i
\(561\) −3.29493 + 4.85965i −0.139112 + 0.205175i
\(562\) −5.51503 4.19242i −0.232638 0.176846i
\(563\) 7.09179 43.2580i 0.298883 1.82311i −0.228575 0.973526i \(-0.573407\pi\)
0.527458 0.849581i \(-0.323145\pi\)
\(564\) −3.04134 3.58055i −0.128064 0.150768i
\(565\) 2.16818 2.55258i 0.0912160 0.107388i
\(566\) 4.55793 + 27.8021i 0.191584 + 1.16861i
\(567\) −1.15791 + 2.18404i −0.0486275 + 0.0917211i
\(568\) −17.6999 3.89604i −0.742671 0.163474i
\(569\) −27.2347 9.17643i −1.14174 0.384696i −0.316004 0.948758i \(-0.602341\pi\)
−0.825732 + 0.564062i \(0.809238\pi\)
\(570\) 0.117553 + 2.16814i 0.00492377 + 0.0908136i
\(571\) −25.0587 + 19.0491i −1.04867 + 0.797181i −0.979706 0.200438i \(-0.935764\pi\)
−0.0689674 + 0.997619i \(0.521970\pi\)
\(572\) −0.234241 0.441825i −0.00979410 0.0184736i
\(573\) 1.12092 + 4.03720i 0.0468272 + 0.168656i
\(574\) 6.68389 + 6.33132i 0.278980 + 0.264264i
\(575\) −7.21460 18.1073i −0.300869 0.755125i
\(576\) −7.04134 + 2.37250i −0.293389 + 0.0988543i
\(577\) −38.1450 + 4.14852i −1.58800 + 0.172705i −0.859060 0.511875i \(-0.828951\pi\)
−0.728938 + 0.684580i \(0.759986\pi\)
\(578\) 14.9701 + 6.92591i 0.622675 + 0.288080i
\(579\) 10.8707 10.2973i 0.451770 0.427940i
\(580\) 1.51878 + 0.913819i 0.0630638 + 0.0379443i
\(581\) −16.9361 1.84191i −0.702626 0.0764152i
\(582\) −14.4417 + 3.17885i −0.598626 + 0.131768i
\(583\) 14.5255 52.3162i 0.601586 2.16672i
\(584\) 13.4064 8.06636i 0.554761 0.333789i
\(585\) −0.0213284 + 0.00986757i −0.000881821 + 0.000407974i
\(586\) 2.47921 6.22236i 0.102415 0.257043i
\(587\) −2.50171 + 46.1413i −0.103257 + 1.90446i 0.248921 + 0.968524i \(0.419924\pi\)
−0.352178 + 0.935933i \(0.614559\pi\)
\(588\) −0.466205 0.687602i −0.0192260 0.0283562i
\(589\) 57.2371 2.35842
\(590\) 0.347806 1.99149i 0.0143190 0.0819884i
\(591\) −13.6759 −0.562552
\(592\) 5.24798 + 7.74020i 0.215691 + 0.318120i
\(593\) 0.303006 5.58862i 0.0124430 0.229497i −0.985697 0.168529i \(-0.946098\pi\)
0.998140 0.0609684i \(-0.0194189\pi\)
\(594\) −2.21892 + 5.56906i −0.0910433 + 0.228501i
\(595\) 0.578321 0.267560i 0.0237088 0.0109689i
\(596\) 7.66828 4.61385i 0.314105 0.188991i
\(597\) −5.23552 + 18.8566i −0.214276 + 0.771751i
\(598\) −0.367064 + 0.0807969i −0.0150104 + 0.00330403i
\(599\) 27.1013 + 2.94745i 1.10733 + 0.120429i 0.643464 0.765476i \(-0.277496\pi\)
0.463866 + 0.885905i \(0.346462\pi\)
\(600\) 12.8092 + 7.70702i 0.522932 + 0.314638i
\(601\) −6.64584 + 6.29527i −0.271089 + 0.256789i −0.811152 0.584835i \(-0.801159\pi\)
0.540063 + 0.841625i \(0.318401\pi\)
\(602\) 3.78733 + 1.75220i 0.154360 + 0.0714145i
\(603\) 10.2901 1.11912i 0.419046 0.0455740i
\(604\) 12.3691 4.16762i 0.503290 0.169578i
\(605\) −2.14406 5.38118i −0.0871684 0.218776i
\(606\) 0.800070 + 0.757867i 0.0325006 + 0.0307862i
\(607\) −1.34683 4.85085i −0.0546663 0.196890i 0.931175 0.364573i \(-0.118785\pi\)
−0.985841 + 0.167683i \(0.946371\pi\)
\(608\) 18.3901 + 34.6875i 0.745818 + 1.40676i
\(609\) −14.6449 + 11.1328i −0.593443 + 0.451124i
\(610\) 0.106618 + 1.96646i 0.00431685 + 0.0796197i
\(611\) 0.439255 + 0.148002i 0.0177703 + 0.00598753i
\(612\) 0.922522 + 0.203063i 0.0372908 + 0.00820832i
\(613\) −2.72268 + 5.13553i −0.109968 + 0.207422i −0.932388 0.361459i \(-0.882279\pi\)
0.822420 + 0.568881i \(0.192624\pi\)
\(614\) −1.53703 9.37545i −0.0620294 0.378362i
\(615\) −0.595430 + 0.700994i −0.0240101 + 0.0282668i
\(616\) 28.1505 + 33.1413i 1.13422 + 1.33530i
\(617\) 0.908854 5.54376i 0.0365891 0.223184i −0.962202 0.272336i \(-0.912204\pi\)
0.998791 + 0.0491525i \(0.0156520\pi\)
\(618\) −7.18580 5.46251i −0.289055 0.219734i
\(619\) −21.1261 + 31.1587i −0.849131 + 1.25237i 0.116692 + 0.993168i \(0.462771\pi\)
−0.965822 + 0.259206i \(0.916539\pi\)
\(620\) −0.927357 + 1.36775i −0.0372436 + 0.0549301i
\(621\) −3.14430 2.39024i −0.126177 0.0959170i
\(622\) −1.60801 + 9.80840i −0.0644752 + 0.393281i
\(623\) −4.20611 4.95181i −0.168514 0.198390i
\(624\) 0.0751117 0.0884284i 0.00300688 0.00353997i
\(625\) −3.88750 23.7127i −0.155500 0.948508i
\(626\) 2.61513 4.93266i 0.104522 0.197149i
\(627\) 46.7869 + 10.2986i 1.86849 + 0.411285i
\(628\) −6.84501 2.30635i −0.273146 0.0920335i
\(629\) −0.406692 7.50100i −0.0162159 0.299084i
\(630\) 0.517951 0.393736i 0.0206357 0.0156868i
\(631\) 11.0437 + 20.8306i 0.439641 + 0.829252i 0.999999 + 0.00100118i \(0.000318687\pi\)
−0.560358 + 0.828250i \(0.689336\pi\)
\(632\) −5.87274 21.1517i −0.233605 0.841370i
\(633\) −6.71754 6.36319i −0.266998 0.252914i
\(634\) −1.99641 5.01061i −0.0792876 0.198997i
\(635\) −1.09853 + 0.370137i −0.0435937 + 0.0146884i
\(636\) −8.68404 + 0.944446i −0.344345 + 0.0374497i
\(637\) 0.0743905 + 0.0344167i 0.00294746 + 0.00136364i
\(638\) −32.3882 + 30.6797i −1.28226 + 1.21462i
\(639\) 5.12659 + 3.08457i 0.202805 + 0.122024i
\(640\) −0.468181 0.0509178i −0.0185065 0.00201270i
\(641\) 38.2847 8.42710i 1.51215 0.332850i 0.620008 0.784596i \(-0.287129\pi\)
0.892147 + 0.451745i \(0.149198\pi\)
\(642\) 2.95242 10.6337i 0.116523 0.419677i
\(643\) −15.1823 + 9.13491i −0.598733 + 0.360246i −0.782431 0.622737i \(-0.786021\pi\)
0.183698 + 0.982983i \(0.441193\pi\)
\(644\) −8.27854 + 3.83006i −0.326220 + 0.150926i
\(645\) −0.154307 + 0.387281i −0.00607583 + 0.0152492i
\(646\) −0.466204 + 8.59862i −0.0183425 + 0.338308i
\(647\) −20.1327 29.6935i −0.791497 1.16737i −0.982588 0.185799i \(-0.940513\pi\)
0.191090 0.981572i \(-0.438798\pi\)
\(648\) 3.02918 0.118997
\(649\) −40.2845 19.1490i −1.58131 0.751665i
\(650\) −0.469615 −0.0184198
\(651\) −9.62465 14.1953i −0.377220 0.556358i
\(652\) −0.397426 + 7.33009i −0.0155644 + 0.287068i
\(653\) −13.8028 + 34.6424i −0.540145 + 1.35566i 0.365179 + 0.930937i \(0.381008\pi\)
−0.905323 + 0.424723i \(0.860371\pi\)
\(654\) 15.3343 7.09441i 0.599619 0.277413i
\(655\) −2.63533 + 1.58563i −0.102971 + 0.0619556i
\(656\) 1.21480 4.37533i 0.0474301 0.170828i
\(657\) −5.04434 + 1.11034i −0.196799 + 0.0433187i
\(658\) −12.7574 1.38745i −0.497337 0.0540886i
\(659\) −22.7386 13.6814i −0.885770 0.532950i −0.00153840 0.999999i \(-0.500490\pi\)
−0.884232 + 0.467049i \(0.845317\pi\)
\(660\) −1.00414 + 0.951170i −0.0390860 + 0.0370243i
\(661\) 0.927062 + 0.428904i 0.0360585 + 0.0166824i 0.437836 0.899055i \(-0.355745\pi\)
−0.401777 + 0.915738i \(0.631607\pi\)
\(662\) −27.2263 + 2.96104i −1.05818 + 0.115084i
\(663\) −0.0883213 + 0.0297589i −0.00343011 + 0.00115574i
\(664\) 7.72691 + 19.3931i 0.299862 + 0.752598i
\(665\) −3.77468 3.57556i −0.146376 0.138654i
\(666\) −2.05194 7.39043i −0.0795112 0.286373i
\(667\) −13.7677 25.9686i −0.533087 1.00551i
\(668\) 10.3955 7.90243i 0.402213 0.305754i
\(669\) −1.53128 28.2428i −0.0592027 1.09193i
\(670\) −2.58166 0.869863i −0.0997383 0.0336058i
\(671\) 42.4347 + 9.34058i 1.63817 + 0.360589i
\(672\) 5.51041 10.3937i 0.212569 0.400947i
\(673\) −1.41675 8.64182i −0.0546119 0.333118i −0.999975 0.00709788i \(-0.997741\pi\)
0.945363 0.326020i \(-0.105708\pi\)
\(674\) −3.23935 + 3.81365i −0.124775 + 0.146896i
\(675\) −3.19485 3.76127i −0.122970 0.144771i
\(676\) −1.96359 + 11.9774i −0.0755228 + 0.460669i
\(677\) −16.7872 12.7613i −0.645184 0.490456i 0.230670 0.973032i \(-0.425908\pi\)
−0.875854 + 0.482576i \(0.839701\pi\)
\(678\) 7.61060 11.2248i 0.292284 0.431086i
\(679\) 19.8710 29.3075i 0.762579 1.12472i
\(680\) −0.621622 0.472545i −0.0238381 0.0181213i
\(681\) −0.968663 + 5.90858i −0.0371192 + 0.226417i
\(682\) −26.9259 31.6996i −1.03104 1.21384i
\(683\) −20.2228 + 23.8081i −0.773803 + 0.910991i −0.997978 0.0635576i \(-0.979755\pi\)
0.224175 + 0.974549i \(0.428031\pi\)
\(684\) −1.24693 7.60592i −0.0476775 0.290820i
\(685\) 0.192419 0.362941i 0.00735195 0.0138673i
\(686\) −19.6624 4.32802i −0.750714 0.165245i
\(687\) 7.55991 + 2.54723i 0.288429 + 0.0971829i
\(688\) −0.111429 2.05520i −0.00424821 0.0783536i
\(689\) 0.686126 0.521579i 0.0261393 0.0198706i
\(690\) 0.486925 + 0.918438i 0.0185369 + 0.0349643i
\(691\) −1.76632 6.36170i −0.0671939 0.242011i 0.922325 0.386416i \(-0.126287\pi\)
−0.989519 + 0.144405i \(0.953873\pi\)
\(692\) 2.83045 + 2.68115i 0.107598 + 0.101922i
\(693\) −5.31326 13.3353i −0.201834 0.506566i
\(694\) −31.4052 + 10.5816i −1.19212 + 0.401673i
\(695\) 0.0574935 0.00625279i 0.00218085 0.000237182i
\(696\) 20.4589 + 9.46531i 0.775494 + 0.358782i
\(697\) −2.64814 + 2.50846i −0.100306 + 0.0950145i
\(698\) 1.17477 + 0.706838i 0.0444658 + 0.0267542i
\(699\) −4.06696 0.442309i −0.153827 0.0167297i
\(700\) −11.1307 + 2.45006i −0.420702 + 0.0926035i
\(701\) −1.65027 + 5.94373i −0.0623297 + 0.224491i −0.988155 0.153461i \(-0.950958\pi\)
0.925825 + 0.377953i \(0.123372\pi\)
\(702\) −0.0815386 + 0.0490602i −0.00307748 + 0.00185166i
\(703\) −55.6287 + 25.7366i −2.09808 + 0.970674i
\(704\) 15.9705 40.0829i 0.601911 1.51068i
\(705\) 0.0694062 1.28012i 0.00261399 0.0482122i
\(706\) 2.63689 + 3.88913i 0.0992408 + 0.146369i
\(707\) −2.63885 −0.0992441
\(708\) −0.463049 + 7.16114i −0.0174025 + 0.269132i
\(709\) 32.6302 1.22545 0.612726 0.790296i \(-0.290073\pi\)
0.612726 + 0.790296i \(0.290073\pi\)
\(710\) −0.883699 1.30336i −0.0331646 0.0489142i
\(711\) −0.392334 + 7.23617i −0.0147137 + 0.271378i
\(712\) −2.94684 + 7.39602i −0.110438 + 0.277178i
\(713\) 24.8698 11.5060i 0.931382 0.430903i
\(714\) 2.21093 1.33027i 0.0827418 0.0497841i
\(715\) 0.0365085 0.131492i 0.00136534 0.00491752i
\(716\) −10.8728 + 2.39329i −0.406337 + 0.0894415i
\(717\) −23.8346 2.59216i −0.890118 0.0968062i
\(718\) −1.31142 0.789054i −0.0489417 0.0294472i
\(719\) −5.93938 + 5.62608i −0.221501 + 0.209817i −0.790401 0.612590i \(-0.790128\pi\)
0.568900 + 0.822407i \(0.307369\pi\)
\(720\) −0.291238 0.134741i −0.0108538 0.00502151i
\(721\) 21.4871 2.33687i 0.800223 0.0870295i
\(722\) 47.9969 16.1721i 1.78626 0.601861i
\(723\) −3.95713 9.93165i −0.147167 0.369362i
\(724\) 13.9757 + 13.2385i 0.519403 + 0.492004i
\(725\) −9.82500 35.3865i −0.364891 1.31422i
\(726\) −10.9869 20.7236i −0.407764 0.769124i
\(727\) 6.66066 5.06330i 0.247030 0.187788i −0.474331 0.880347i \(-0.657310\pi\)
0.721361 + 0.692559i \(0.243517\pi\)
\(728\) 0.0373689 + 0.689228i 0.00138498 + 0.0255445i
\(729\) −0.947653 0.319302i −0.0350983 0.0118260i
\(730\) 1.32764 + 0.292236i 0.0491383 + 0.0108162i
\(731\) −0.774439 + 1.46075i −0.0286436 + 0.0540277i
\(732\) −1.13094 6.89841i −0.0418006 0.254973i
\(733\) −12.6753 + 14.9226i −0.468174 + 0.551178i −0.944680 0.327994i \(-0.893627\pi\)
0.476505 + 0.879172i \(0.341903\pi\)
\(734\) −18.4888 21.7667i −0.682433 0.803422i
\(735\) 0.0366764 0.223716i 0.00135283 0.00825189i
\(736\) 14.9636 + 11.3750i 0.551565 + 0.419289i
\(737\) −33.7311 + 49.7496i −1.24250 + 1.83255i
\(738\) −2.09004 + 3.08258i −0.0769354 + 0.113471i
\(739\) 24.8554 + 18.8945i 0.914319 + 0.695047i 0.952602 0.304220i \(-0.0983957\pi\)
−0.0382829 + 0.999267i \(0.512189\pi\)
\(740\) 0.286291 1.74630i 0.0105243 0.0641952i
\(741\) 0.492311 + 0.579593i 0.0180855 + 0.0212919i
\(742\) −15.4473 + 18.1860i −0.567089 + 0.667629i
\(743\) 2.00449 + 12.2269i 0.0735377 + 0.448560i 0.997771 + 0.0667316i \(0.0212571\pi\)
−0.924233 + 0.381828i \(0.875295\pi\)
\(744\) −9.84416 + 18.5680i −0.360904 + 0.680738i
\(745\) 2.38507 + 0.524995i 0.0873824 + 0.0192343i
\(746\) 7.52412 + 2.53517i 0.275478 + 0.0928192i
\(747\) −0.373101 6.88145i −0.0136511 0.251779i
\(748\) −4.36681 + 3.31956i −0.159666 + 0.121375i
\(749\) 12.3781 + 23.3476i 0.452286 + 0.853101i
\(750\) 0.699543 + 2.51953i 0.0255437 + 0.0920001i
\(751\) −27.7511 26.2873i −1.01265 0.959235i −0.0134801 0.999909i \(-0.504291\pi\)
−0.999172 + 0.0406737i \(0.987050\pi\)
\(752\) 2.34272 + 5.87980i 0.0854304 + 0.214414i
\(753\) −23.9849 + 8.08146i −0.874059 + 0.294505i
\(754\) −0.704007 + 0.0765654i −0.0256384 + 0.00278835i
\(755\) 3.23263 + 1.49557i 0.117647 + 0.0544295i
\(756\) −1.67666 + 1.58821i −0.0609794 + 0.0577628i
\(757\) 17.3528 + 10.4408i 0.630697 + 0.379478i 0.794718 0.606979i \(-0.207619\pi\)
−0.164021 + 0.986457i \(0.552446\pi\)
\(758\) 1.79164 + 0.194852i 0.0650752 + 0.00707736i
\(759\) 22.3994 4.93047i 0.813046 0.178965i
\(760\) −1.70448 + 6.13899i −0.0618280 + 0.222684i
\(761\) 25.2083 15.1673i 0.913801 0.549816i 0.0207564 0.999785i \(-0.493393\pi\)
0.893044 + 0.449969i \(0.148565\pi\)
\(762\) −4.26014 + 1.97095i −0.154329 + 0.0714000i
\(763\) −14.9750 + 37.5843i −0.542130 + 1.36064i
\(764\) −0.211923 + 3.90869i −0.00766710 + 0.141411i
\(765\) 0.144659 + 0.213356i 0.00523015 + 0.00771390i
\(766\) 15.3041 0.552960
\(767\) −0.325121 0.628972i −0.0117394 0.0227109i
\(768\) −16.7676 −0.605047
\(769\) −18.8460 27.7958i −0.679604 1.00234i −0.998511 0.0545549i \(-0.982626\pi\)
0.318907 0.947786i \(-0.396684\pi\)
\(770\) −0.204543 + 3.77257i −0.00737120 + 0.135954i
\(771\) 9.60702 24.1118i 0.345988 0.868365i
\(772\) 12.6960 5.87381i 0.456940 − <