Properties

Label 483.2.y.b.340.1
Level $483$
Weight $2$
Character 483.340
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 340.1
Character \(\chi\) \(=\) 483.340
Dual form 483.2.y.b.331.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.638332 - 2.63124i) q^{2} +(-0.327068 - 0.945001i) q^{3} +(-4.73829 + 2.44276i) q^{4} +(-0.0914699 + 0.0366190i) q^{5} +(-2.27775 + 1.46382i) q^{6} +(-1.45947 + 2.20680i) q^{7} +(5.90594 + 6.81582i) q^{8} +(-0.786053 + 0.618159i) q^{9} +O(q^{10})\) \(q+(-0.638332 - 2.63124i) q^{2} +(-0.327068 - 0.945001i) q^{3} +(-4.73829 + 2.44276i) q^{4} +(-0.0914699 + 0.0366190i) q^{5} +(-2.27775 + 1.46382i) q^{6} +(-1.45947 + 2.20680i) q^{7} +(5.90594 + 6.81582i) q^{8} +(-0.786053 + 0.618159i) q^{9} +(0.154742 + 0.217304i) q^{10} +(-1.01262 + 4.17408i) q^{11} +(3.85815 + 3.67874i) q^{12} +(2.68262 - 5.87412i) q^{13} +(6.73824 + 2.43155i) q^{14} +(0.0645219 + 0.0744622i) q^{15} +(7.97967 - 11.2059i) q^{16} +(0.164592 + 3.45521i) q^{17} +(2.12829 + 1.67370i) q^{18} +(0.00286266 - 0.0600946i) q^{19} +(0.343960 - 0.396951i) q^{20} +(2.56277 + 0.657427i) q^{21} +11.6294 q^{22} +(-0.209380 + 4.79126i) q^{23} +(4.50931 - 7.81036i) q^{24} +(-3.61164 + 3.44370i) q^{25} +(-17.1686 - 3.30898i) q^{26} +(0.841254 + 0.540641i) q^{27} +(1.52472 - 14.0216i) q^{28} +(4.91447 - 3.15834i) q^{29} +(0.154742 - 0.217304i) q^{30} +(2.01469 - 0.388299i) q^{31} +(-17.8338 - 7.13959i) q^{32} +(4.27570 - 0.408280i) q^{33} +(8.98644 - 2.63866i) q^{34} +(0.0526868 - 0.255300i) q^{35} +(2.21454 - 4.84916i) q^{36} +(-0.876840 + 0.689555i) q^{37} +(-0.159951 + 0.0308280i) q^{38} +(-6.42844 - 0.613842i) q^{39} +(-0.789805 - 0.407173i) q^{40} +(-1.14797 + 7.98429i) q^{41} +(0.0939507 - 7.16292i) q^{42} +(-7.14909 + 8.25048i) q^{43} +(-5.39818 - 22.2516i) q^{44} +(0.0492638 - 0.0853275i) q^{45} +(12.7406 - 2.50749i) q^{46} +(5.45332 + 9.44542i) q^{47} +(-13.1995 - 3.87571i) q^{48} +(-2.73990 - 6.44150i) q^{49} +(11.3666 + 7.30489i) q^{50} +(3.21135 - 1.28563i) q^{51} +(1.63802 + 34.3863i) q^{52} +(2.72994 + 0.260678i) q^{53} +(0.885557 - 2.55865i) q^{54} +(-0.0602264 - 0.418884i) q^{55} +(-23.6607 + 3.08573i) q^{56} +(-0.0577257 + 0.0169498i) q^{57} +(-11.4474 - 10.9151i) q^{58} +(-3.58747 - 5.03790i) q^{59} +(-0.487617 - 0.195212i) q^{60} +(-0.569513 + 1.64550i) q^{61} +(-2.30775 - 5.05327i) q^{62} +(-0.216931 - 2.63684i) q^{63} +(-3.48651 + 24.2492i) q^{64} +(-0.0302745 + 0.635540i) q^{65} +(-3.80360 - 10.9898i) q^{66} +(7.82117 - 7.45747i) q^{67} +(-9.22015 - 15.9698i) q^{68} +(4.59622 - 1.36920i) q^{69} +(-0.705387 + 0.0243345i) q^{70} +(-4.36471 - 1.28159i) q^{71} +(-8.85565 - 1.70679i) q^{72} +(-2.94778 + 1.51968i) q^{73} +(2.37410 + 1.86701i) q^{74} +(4.43555 + 2.28668i) q^{75} +(0.133232 + 0.291738i) q^{76} +(-7.73345 - 8.32658i) q^{77} +(2.48832 + 17.3066i) q^{78} +(-2.97526 + 0.284103i) q^{79} +(-0.319551 + 1.31721i) q^{80} +(0.235759 - 0.971812i) q^{81} +(21.7414 - 2.07605i) q^{82} +(1.54537 + 10.7483i) q^{83} +(-13.7491 + 3.14515i) q^{84} +(-0.141582 - 0.310021i) q^{85} +(26.2725 + 13.5444i) q^{86} +(-4.59200 - 3.61119i) q^{87} +(-34.4302 + 17.7500i) q^{88} +(0.297301 + 0.0573001i) q^{89} +(-0.255964 - 0.0751578i) q^{90} +(9.04778 + 14.4931i) q^{91} +(-10.7118 - 23.2139i) q^{92} +(-1.02588 - 1.77688i) q^{93} +(21.3722 - 20.3783i) q^{94} +(0.00193876 + 0.00560167i) q^{95} +(-0.914043 + 19.1881i) q^{96} +(-1.53072 + 10.6464i) q^{97} +(-15.2002 + 11.3212i) q^{98} +(-1.78427 - 3.90701i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 2q^{11} + 18q^{12} + 18q^{14} - 18q^{15} - 8q^{16} + 4q^{17} + 2q^{18} + 8q^{19} - 162q^{20} - 4q^{21} + 144q^{22} - 26q^{23} + 6q^{24} - 8q^{25} - 14q^{26} - 32q^{27} + 86q^{28} - 74q^{29} - 56q^{31} - 28q^{32} + 13q^{33} + 40q^{34} - 32q^{35} - 14q^{36} + 2q^{37} - 39q^{38} - 52q^{40} + 60q^{41} - 61q^{42} + 16q^{43} - 75q^{44} - 2q^{45} - 4q^{46} - 40q^{47} - 28q^{48} - 100q^{49} + 146q^{50} - 18q^{51} - 18q^{52} + 34q^{53} + 2q^{54} + 36q^{55} - 102q^{56} + 28q^{57} - 17q^{58} - 102q^{59} - 18q^{60} - 18q^{61} - 88q^{62} + 2q^{63} - 252q^{64} - 78q^{65} + 16q^{66} + 12q^{67} + 34q^{68} + 8q^{69} + 264q^{70} + 160q^{71} + 6q^{72} - 8q^{73} + 70q^{74} + 14q^{75} - 40q^{76} - 90q^{77} - 16q^{78} + 26q^{79} - 103q^{80} + 16q^{81} - 30q^{82} - 80q^{83} - 52q^{84} - 128q^{85} + 90q^{86} + 4q^{87} - 293q^{88} - 36q^{89} + 16q^{91} - 174q^{92} + 32q^{93} + 57q^{94} - 85q^{95} - 50q^{96} - 8q^{97} - 193q^{98} - 26q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{6}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.638332 2.63124i −0.451369 1.86057i −0.506734 0.862103i \(-0.669147\pi\)
0.0553647 0.998466i \(-0.482368\pi\)
\(3\) −0.327068 0.945001i −0.188833 0.545596i
\(4\) −4.73829 + 2.44276i −2.36915 + 1.22138i
\(5\) −0.0914699 + 0.0366190i −0.0409066 + 0.0163765i −0.392026 0.919954i \(-0.628226\pi\)
0.351119 + 0.936331i \(0.385801\pi\)
\(6\) −2.27775 + 1.46382i −0.929886 + 0.597602i
\(7\) −1.45947 + 2.20680i −0.551627 + 0.834091i
\(8\) 5.90594 + 6.81582i 2.08807 + 2.40976i
\(9\) −0.786053 + 0.618159i −0.262018 + 0.206053i
\(10\) 0.154742 + 0.217304i 0.0489336 + 0.0687177i
\(11\) −1.01262 + 4.17408i −0.305316 + 1.25853i 0.587911 + 0.808926i \(0.299951\pi\)
−0.893227 + 0.449606i \(0.851564\pi\)
\(12\) 3.85815 + 3.67874i 1.11375 + 1.06196i
\(13\) 2.68262 5.87412i 0.744025 1.62919i −0.0327937 0.999462i \(-0.510440\pi\)
0.776818 0.629725i \(-0.216832\pi\)
\(14\) 6.73824 + 2.43155i 1.80087 + 0.649858i
\(15\) 0.0645219 + 0.0744622i 0.0166595 + 0.0192261i
\(16\) 7.97967 11.2059i 1.99492 2.80147i
\(17\) 0.164592 + 3.45521i 0.0399195 + 0.838013i 0.926695 + 0.375813i \(0.122637\pi\)
−0.886776 + 0.462199i \(0.847060\pi\)
\(18\) 2.12829 + 1.67370i 0.501642 + 0.394496i
\(19\) 0.00286266 0.0600946i 0.000656738 0.0137866i −0.998515 0.0544741i \(-0.982652\pi\)
0.999172 + 0.0406875i \(0.0129548\pi\)
\(20\) 0.343960 0.396951i 0.0769118 0.0887609i
\(21\) 2.56277 + 0.657427i 0.559242 + 0.143462i
\(22\) 11.6294 2.47940
\(23\) −0.209380 + 4.79126i −0.0436588 + 0.999047i
\(24\) 4.50931 7.81036i 0.920459 1.59428i
\(25\) −3.61164 + 3.44370i −0.722329 + 0.688739i
\(26\) −17.1686 3.30898i −3.36704 0.648945i
\(27\) 0.841254 + 0.540641i 0.161899 + 0.104046i
\(28\) 1.52472 14.0216i 0.288145 2.64983i
\(29\) 4.91447 3.15834i 0.912594 0.586489i 0.00209412 0.999998i \(-0.499333\pi\)
0.910500 + 0.413509i \(0.135697\pi\)
\(30\) 0.154742 0.217304i 0.0282518 0.0396742i
\(31\) 2.01469 0.388299i 0.361849 0.0697406i −0.00508670 0.999987i \(-0.501619\pi\)
0.366935 + 0.930246i \(0.380407\pi\)
\(32\) −17.8338 7.13959i −3.15261 1.26211i
\(33\) 4.27570 0.408280i 0.744304 0.0710724i
\(34\) 8.98644 2.63866i 1.54116 0.452526i
\(35\) 0.0526868 0.255300i 0.00890569 0.0431536i
\(36\) 2.21454 4.84916i 0.369089 0.808193i
\(37\) −0.876840 + 0.689555i −0.144152 + 0.113362i −0.687631 0.726061i \(-0.741349\pi\)
0.543479 + 0.839423i \(0.317107\pi\)
\(38\) −0.159951 + 0.0308280i −0.0259474 + 0.00500095i
\(39\) −6.42844 0.613842i −1.02937 0.0982934i
\(40\) −0.789805 0.407173i −0.124879 0.0643797i
\(41\) −1.14797 + 7.98429i −0.179283 + 1.24694i 0.679146 + 0.734004i \(0.262350\pi\)
−0.858428 + 0.512934i \(0.828559\pi\)
\(42\) 0.0939507 7.16292i 0.0144969 1.10526i
\(43\) −7.14909 + 8.25048i −1.09023 + 1.25819i −0.126306 + 0.991991i \(0.540312\pi\)
−0.963919 + 0.266196i \(0.914233\pi\)
\(44\) −5.39818 22.2516i −0.813806 3.35455i
\(45\) 0.0492638 0.0853275i 0.00734382 0.0127199i
\(46\) 12.7406 2.50749i 1.87850 0.369709i
\(47\) 5.45332 + 9.44542i 0.795448 + 1.37776i 0.922554 + 0.385867i \(0.126098\pi\)
−0.127106 + 0.991889i \(0.540569\pi\)
\(48\) −13.1995 3.87571i −1.90518 0.559410i
\(49\) −2.73990 6.44150i −0.391414 0.920215i
\(50\) 11.3666 + 7.30489i 1.60748 + 1.03307i
\(51\) 3.21135 1.28563i 0.449679 0.180024i
\(52\) 1.63802 + 34.3863i 0.227153 + 4.76852i
\(53\) 2.72994 + 0.260678i 0.374986 + 0.0358068i 0.280848 0.959752i \(-0.409384\pi\)
0.0941383 + 0.995559i \(0.469990\pi\)
\(54\) 0.885557 2.55865i 0.120509 0.348188i
\(55\) −0.0602264 0.418884i −0.00812092 0.0564823i
\(56\) −23.6607 + 3.08573i −3.16179 + 0.412348i
\(57\) −0.0577257 + 0.0169498i −0.00764595 + 0.00224505i
\(58\) −11.4474 10.9151i −1.50312 1.43322i
\(59\) −3.58747 5.03790i −0.467049 0.655878i 0.512123 0.858912i \(-0.328859\pi\)
−0.979172 + 0.203034i \(0.934920\pi\)
\(60\) −0.487617 0.195212i −0.0629511 0.0252018i
\(61\) −0.569513 + 1.64550i −0.0729187 + 0.210685i −0.975570 0.219687i \(-0.929496\pi\)
0.902652 + 0.430372i \(0.141618\pi\)
\(62\) −2.30775 5.05327i −0.293084 0.641765i
\(63\) −0.216931 2.63684i −0.0273307 0.332211i
\(64\) −3.48651 + 24.2492i −0.435814 + 3.03115i
\(65\) −0.0302745 + 0.635540i −0.00375509 + 0.0788290i
\(66\) −3.80360 10.9898i −0.468191 1.35275i
\(67\) 7.82117 7.45747i 0.955508 0.911075i −0.0406039 0.999175i \(-0.512928\pi\)
0.996112 + 0.0881006i \(0.0280797\pi\)
\(68\) −9.22015 15.9698i −1.11811 1.93662i
\(69\) 4.59622 1.36920i 0.553320 0.164833i
\(70\) −0.705387 + 0.0243345i −0.0843099 + 0.00290853i
\(71\) −4.36471 1.28159i −0.517996 0.152097i 0.0122766 0.999925i \(-0.496092\pi\)
−0.530272 + 0.847827i \(0.677910\pi\)
\(72\) −8.85565 1.70679i −1.04365 0.201147i
\(73\) −2.94778 + 1.51968i −0.345011 + 0.177866i −0.622019 0.783002i \(-0.713687\pi\)
0.277008 + 0.960868i \(0.410657\pi\)
\(74\) 2.37410 + 1.86701i 0.275984 + 0.217036i
\(75\) 4.43555 + 2.28668i 0.512173 + 0.264044i
\(76\) 0.133232 + 0.291738i 0.0152828 + 0.0334647i
\(77\) −7.73345 8.32658i −0.881309 0.948902i
\(78\) 2.48832 + 17.3066i 0.281746 + 1.95959i
\(79\) −2.97526 + 0.284103i −0.334743 + 0.0319640i −0.261074 0.965319i \(-0.584077\pi\)
−0.0736685 + 0.997283i \(0.523471\pi\)
\(80\) −0.319551 + 1.31721i −0.0357269 + 0.147268i
\(81\) 0.235759 0.971812i 0.0261954 0.107979i
\(82\) 21.7414 2.07605i 2.40094 0.229262i
\(83\) 1.54537 + 10.7483i 0.169626 + 1.17978i 0.879658 + 0.475607i \(0.157771\pi\)
−0.710032 + 0.704170i \(0.751319\pi\)
\(84\) −13.7491 + 3.14515i −1.50015 + 0.343164i
\(85\) −0.141582 0.310021i −0.0153567 0.0336265i
\(86\) 26.2725 + 13.5444i 2.83304 + 1.46053i
\(87\) −4.59200 3.61119i −0.492314 0.387160i
\(88\) −34.4302 + 17.7500i −3.67028 + 1.89216i
\(89\) 0.297301 + 0.0573001i 0.0315139 + 0.00607380i 0.204984 0.978765i \(-0.434286\pi\)
−0.173470 + 0.984839i \(0.555498\pi\)
\(90\) −0.255964 0.0751578i −0.0269810 0.00792232i
\(91\) 9.04778 + 14.4931i 0.948465 + 1.51929i
\(92\) −10.7118 23.2139i −1.11678 2.42021i
\(93\) −1.02588 1.77688i −0.106379 0.184254i
\(94\) 21.3722 20.3783i 2.20437 2.10186i
\(95\) 0.00193876 + 0.00560167i 0.000198912 + 0.000574719i
\(96\) −0.914043 + 19.1881i −0.0932891 + 1.95838i
\(97\) −1.53072 + 10.6464i −0.155421 + 1.08098i 0.751516 + 0.659715i \(0.229323\pi\)
−0.906938 + 0.421265i \(0.861586\pi\)
\(98\) −15.2002 + 11.3212i −1.53545 + 1.14361i
\(99\) −1.78427 3.90701i −0.179326 0.392669i
\(100\) 8.70091 25.1396i 0.870091 2.51396i
\(101\) 6.16496 + 2.46808i 0.613436 + 0.245583i 0.657510 0.753446i \(-0.271610\pi\)
−0.0440743 + 0.999028i \(0.514034\pi\)
\(102\) −5.43271 7.62917i −0.537918 0.755401i
\(103\) 10.6057 + 10.1125i 1.04501 + 0.996415i 0.999997 0.00257117i \(-0.000818431\pi\)
0.0450135 + 0.998986i \(0.485667\pi\)
\(104\) 55.8803 16.4079i 5.47952 1.60893i
\(105\) −0.258491 + 0.0337114i −0.0252261 + 0.00328989i
\(106\) −1.05670 7.34953i −0.102636 0.713850i
\(107\) −1.93615 + 5.59413i −0.187174 + 0.540805i −0.999075 0.0429903i \(-0.986312\pi\)
0.811901 + 0.583795i \(0.198433\pi\)
\(108\) −5.30676 0.506734i −0.510643 0.0487605i
\(109\) −0.720957 15.1348i −0.0690552 1.44965i −0.721817 0.692084i \(-0.756693\pi\)
0.652762 0.757563i \(-0.273610\pi\)
\(110\) −1.06374 + 0.425857i −0.101424 + 0.0406039i
\(111\) 0.938416 + 0.603083i 0.0890705 + 0.0572421i
\(112\) 13.0830 + 33.9641i 1.23623 + 3.20931i
\(113\) −3.93378 1.15506i −0.370059 0.108659i 0.0914152 0.995813i \(-0.470861\pi\)
−0.461474 + 0.887154i \(0.652679\pi\)
\(114\) 0.0814472 + 0.141071i 0.00762823 + 0.0132125i
\(115\) −0.156299 0.445923i −0.0145750 0.0415826i
\(116\) −15.5711 + 26.9700i −1.44574 + 2.50410i
\(117\) 1.52246 + 6.27565i 0.140751 + 0.580184i
\(118\) −10.9659 + 12.6553i −1.00949 + 1.16502i
\(119\) −7.86517 4.67956i −0.720999 0.428974i
\(120\) −0.126459 + 0.879540i −0.0115440 + 0.0802906i
\(121\) −6.62033 3.41302i −0.601848 0.310274i
\(122\) 4.69325 + 0.448151i 0.424907 + 0.0405737i
\(123\) 7.92063 1.52658i 0.714179 0.137647i
\(124\) −8.59766 + 6.76127i −0.772093 + 0.607180i
\(125\) 0.408901 0.895369i 0.0365733 0.0800843i
\(126\) −6.79970 + 2.25398i −0.605765 + 0.200800i
\(127\) 0.582630 0.171075i 0.0517000 0.0151805i −0.255780 0.966735i \(-0.582332\pi\)
0.307480 + 0.951554i \(0.400514\pi\)
\(128\) 27.7853 2.65318i 2.45590 0.234510i
\(129\) 10.1350 + 4.05742i 0.892333 + 0.357236i
\(130\) 1.69158 0.326026i 0.148362 0.0285944i
\(131\) 3.55698 4.99508i 0.310775 0.436422i −0.629417 0.777068i \(-0.716706\pi\)
0.940192 + 0.340646i \(0.110646\pi\)
\(132\) −19.2622 + 12.3791i −1.67656 + 1.07746i
\(133\) 0.128438 + 0.0940234i 0.0111370 + 0.00815287i
\(134\) −24.6149 15.8190i −2.12640 1.36656i
\(135\) −0.0967471 0.0186465i −0.00832667 0.00160483i
\(136\) −22.5781 + 21.5281i −1.93605 + 1.84602i
\(137\) −8.48366 + 14.6941i −0.724808 + 1.25540i 0.234246 + 0.972177i \(0.424738\pi\)
−0.959053 + 0.283226i \(0.908595\pi\)
\(138\) −6.53662 11.2198i −0.556434 0.955090i
\(139\) 5.32685 0.451817 0.225909 0.974148i \(-0.427465\pi\)
0.225909 + 0.974148i \(0.427465\pi\)
\(140\) 0.373991 + 1.33839i 0.0316080 + 0.113114i
\(141\) 7.14233 8.24268i 0.601492 0.694159i
\(142\) −0.586049 + 12.3027i −0.0491802 + 1.03242i
\(143\) 21.8025 + 17.1457i 1.82322 + 1.43380i
\(144\) 0.654570 + 13.7411i 0.0545475 + 1.14509i
\(145\) −0.333871 + 0.468856i −0.0277265 + 0.0389364i
\(146\) 5.88032 + 6.78625i 0.486658 + 0.561634i
\(147\) −5.19109 + 4.69602i −0.428154 + 0.387321i
\(148\) 2.47031 5.40922i 0.203058 0.444635i
\(149\) 6.07416 + 5.79170i 0.497615 + 0.474475i 0.896826 0.442384i \(-0.145867\pi\)
−0.399211 + 0.916859i \(0.630716\pi\)
\(150\) 3.18546 13.1307i 0.260092 1.07211i
\(151\) 5.58539 + 7.84359i 0.454533 + 0.638302i 0.976717 0.214531i \(-0.0688222\pi\)
−0.522185 + 0.852833i \(0.674883\pi\)
\(152\) 0.426500 0.335404i 0.0345938 0.0272048i
\(153\) −2.26525 2.61424i −0.183135 0.211349i
\(154\) −16.9727 + 25.6637i −1.36770 + 2.06804i
\(155\) −0.170064 + 0.109294i −0.0136599 + 0.00877868i
\(156\) 31.9593 12.7946i 2.55879 1.02439i
\(157\) −10.3791 + 5.35079i −0.828342 + 0.427040i −0.819610 0.572922i \(-0.805810\pi\)
−0.00873187 + 0.999962i \(0.502779\pi\)
\(158\) 2.64675 + 7.64727i 0.210564 + 0.608384i
\(159\) −0.646536 2.66506i −0.0512736 0.211353i
\(160\) 1.89271 0.149631
\(161\) −10.2677 7.45475i −0.809212 0.587517i
\(162\) −2.70756 −0.212726
\(163\) −4.44855 18.3372i −0.348438 1.43628i −0.828965 0.559300i \(-0.811070\pi\)
0.480528 0.876980i \(-0.340445\pi\)
\(164\) −14.0643 40.6361i −1.09824 3.17315i
\(165\) −0.376147 + 0.193917i −0.0292830 + 0.0150965i
\(166\) 27.2948 10.9272i 2.11849 0.848116i
\(167\) −1.18104 + 0.759011i −0.0913919 + 0.0587340i −0.585539 0.810645i \(-0.699117\pi\)
0.494147 + 0.869379i \(0.335481\pi\)
\(168\) 10.6547 + 21.3501i 0.822025 + 1.64720i
\(169\) −18.7956 21.6913i −1.44582 1.66856i
\(170\) −0.725364 + 0.570433i −0.0556329 + 0.0437502i
\(171\) 0.0348978 + 0.0490071i 0.00266870 + 0.00374767i
\(172\) 13.7205 56.5567i 1.04618 4.31241i
\(173\) −13.7799 13.1391i −1.04767 0.998950i −1.00000 8.62809e-5i \(-0.999973\pi\)
−0.0476681 0.998863i \(-0.515179\pi\)
\(174\) −6.57068 + 14.3878i −0.498122 + 1.09074i
\(175\) −2.32845 12.9961i −0.176014 0.982415i
\(176\) 38.6938 + 44.6550i 2.91666 + 3.36600i
\(177\) −3.58747 + 5.03790i −0.269651 + 0.378671i
\(178\) −0.0390065 0.818848i −0.00292366 0.0613753i
\(179\) −3.22206 2.53386i −0.240828 0.189389i 0.490449 0.871470i \(-0.336833\pi\)
−0.731277 + 0.682081i \(0.761075\pi\)
\(180\) −0.0249920 + 0.524646i −0.00186279 + 0.0391048i
\(181\) −6.50750 + 7.51005i −0.483699 + 0.558218i −0.944171 0.329456i \(-0.893135\pi\)
0.460472 + 0.887674i \(0.347680\pi\)
\(182\) 32.3593 33.0583i 2.39863 2.45044i
\(183\) 1.74127 0.128718
\(184\) −33.8929 + 26.8698i −2.49862 + 1.98087i
\(185\) 0.0549537 0.0951826i 0.00404027 0.00699796i
\(186\) −4.02055 + 3.83359i −0.294801 + 0.281092i
\(187\) −14.5890 2.81180i −1.06685 0.205619i
\(188\) −48.9123 31.4340i −3.56730 2.29256i
\(189\) −2.42087 + 1.06743i −0.176092 + 0.0776439i
\(190\) 0.0135018 0.00867707i 0.000979522 0.000629501i
\(191\) −8.27922 + 11.6265i −0.599063 + 0.841267i −0.997100 0.0761029i \(-0.975752\pi\)
0.398037 + 0.917369i \(0.369692\pi\)
\(192\) 24.0559 4.63639i 1.73608 0.334602i
\(193\) −21.7102 8.69144i −1.56273 0.625623i −0.580663 0.814144i \(-0.697206\pi\)
−0.982069 + 0.188521i \(0.939631\pi\)
\(194\) 28.9904 2.76825i 2.08139 0.198749i
\(195\) 0.610488 0.179255i 0.0437179 0.0128367i
\(196\) 28.7175 + 23.8288i 2.05125 + 1.70206i
\(197\) −4.33117 + 9.48395i −0.308583 + 0.675703i −0.998855 0.0478473i \(-0.984764\pi\)
0.690271 + 0.723551i \(0.257491\pi\)
\(198\) −9.14132 + 7.18881i −0.649645 + 0.510887i
\(199\) 13.6977 2.64002i 0.971006 0.187146i 0.321004 0.947078i \(-0.395980\pi\)
0.650003 + 0.759932i \(0.274768\pi\)
\(200\) −44.8018 4.27805i −3.16796 0.302504i
\(201\) −9.60537 4.95191i −0.677510 0.349281i
\(202\) 2.55881 17.7969i 0.180038 1.25219i
\(203\) −0.202708 + 15.4547i −0.0142273 + 1.08471i
\(204\) −12.0758 + 13.9362i −0.845477 + 0.975732i
\(205\) −0.187373 0.772360i −0.0130867 0.0539440i
\(206\) 19.8385 34.3613i 1.38221 2.39406i
\(207\) −2.79718 3.89561i −0.194417 0.270764i
\(208\) −44.4182 76.9346i −3.07985 5.33445i
\(209\) 0.247941 + 0.0728019i 0.0171504 + 0.00503581i
\(210\) 0.253706 + 0.658633i 0.0175074 + 0.0454500i
\(211\) −1.20744 0.775973i −0.0831234 0.0534202i 0.498419 0.866936i \(-0.333914\pi\)
−0.581542 + 0.813516i \(0.697551\pi\)
\(212\) −13.5720 + 5.43342i −0.932131 + 0.373169i
\(213\) 0.216449 + 4.54382i 0.0148308 + 0.311338i
\(214\) 15.9554 + 1.52356i 1.09069 + 0.104148i
\(215\) 0.351802 1.01646i 0.0239927 0.0693223i
\(216\) 1.28348 + 8.92683i 0.0873300 + 0.607394i
\(217\) −2.08348 + 5.01272i −0.141436 + 0.340285i
\(218\) −39.3630 + 11.5580i −2.66600 + 0.782808i
\(219\) 2.40023 + 2.28861i 0.162192 + 0.154650i
\(220\) 1.30860 + 1.83768i 0.0882260 + 0.123896i
\(221\) 20.7379 + 8.30219i 1.39498 + 0.558466i
\(222\) 0.987837 2.85417i 0.0662993 0.191559i
\(223\) −0.750966 1.64439i −0.0502884 0.110116i 0.882820 0.469711i \(-0.155642\pi\)
−0.933108 + 0.359595i \(0.882915\pi\)
\(224\) 41.7836 28.9356i 2.79178 1.93334i
\(225\) 0.710193 4.93950i 0.0473462 0.329300i
\(226\) −0.528188 + 11.0880i −0.0351345 + 0.737565i
\(227\) −1.10787 3.20097i −0.0735317 0.212456i 0.902245 0.431223i \(-0.141918\pi\)
−0.975777 + 0.218767i \(0.929797\pi\)
\(228\) 0.232117 0.221323i 0.0153723 0.0146575i
\(229\) −13.2966 23.0304i −0.878666 1.52189i −0.852806 0.522229i \(-0.825101\pi\)
−0.0258605 0.999666i \(-0.508233\pi\)
\(230\) −1.07356 + 0.695909i −0.0707885 + 0.0458868i
\(231\) −5.33926 + 10.0315i −0.351298 + 0.660023i
\(232\) 50.5512 + 14.8432i 3.31885 + 0.974503i
\(233\) 24.6944 + 4.75946i 1.61778 + 0.311802i 0.916181 0.400766i \(-0.131256\pi\)
0.701603 + 0.712568i \(0.252468\pi\)
\(234\) 15.5409 8.01190i 1.01594 0.523755i
\(235\) −0.844697 0.664277i −0.0551019 0.0433326i
\(236\) 29.3048 + 15.1077i 1.90758 + 0.983427i
\(237\) 1.24159 + 2.71870i 0.0806499 + 0.176599i
\(238\) −7.29245 + 23.6823i −0.472700 + 1.53509i
\(239\) 0.248202 + 1.72628i 0.0160548 + 0.111664i 0.996273 0.0862564i \(-0.0274904\pi\)
−0.980218 + 0.197920i \(0.936581\pi\)
\(240\) 1.34928 0.128840i 0.0870955 0.00831661i
\(241\) 0.403325 1.66253i 0.0259804 0.107093i −0.957345 0.288947i \(-0.906695\pi\)
0.983325 + 0.181854i \(0.0582099\pi\)
\(242\) −4.75450 + 19.5983i −0.305631 + 1.25983i
\(243\) −0.995472 + 0.0950560i −0.0638596 + 0.00609785i
\(244\) −1.32104 9.18805i −0.0845710 0.588204i
\(245\) 0.486500 + 0.488871i 0.0310813 + 0.0312328i
\(246\) −9.07278 19.8666i −0.578460 1.26665i
\(247\) −0.345323 0.178026i −0.0219724 0.0113275i
\(248\) 14.5452 + 11.4385i 0.923622 + 0.726344i
\(249\) 9.65169 4.97579i 0.611651 0.315328i
\(250\) −2.61695 0.504375i −0.165510 0.0318995i
\(251\) −4.82879 1.41786i −0.304791 0.0894946i 0.125761 0.992061i \(-0.459863\pi\)
−0.430552 + 0.902566i \(0.641681\pi\)
\(252\) 7.46906 + 11.9642i 0.470506 + 0.753675i
\(253\) −19.7871 5.72569i −1.24400 0.359971i
\(254\) −0.822052 1.42384i −0.0515801 0.0893394i
\(255\) −0.246663 + 0.235193i −0.0154467 + 0.0147284i
\(256\) −8.69201 25.1139i −0.543251 1.56962i
\(257\) 1.30737 27.4450i 0.0815514 1.71197i −0.474028 0.880510i \(-0.657200\pi\)
0.555579 0.831464i \(-0.312497\pi\)
\(258\) 4.20659 29.2575i 0.261891 1.82149i
\(259\) −0.241986 2.94139i −0.0150363 0.182769i
\(260\) −1.40902 3.08533i −0.0873838 0.191344i
\(261\) −1.91068 + 5.52054i −0.118268 + 0.341713i
\(262\) −15.4138 6.17075i −0.952267 0.381230i
\(263\) −1.86528 2.61942i −0.115018 0.161520i 0.753054 0.657959i \(-0.228580\pi\)
−0.868072 + 0.496439i \(0.834641\pi\)
\(264\) 28.0348 + 26.7311i 1.72542 + 1.64519i
\(265\) −0.259253 + 0.0761236i −0.0159258 + 0.00467624i
\(266\) 0.165412 0.397971i 0.0101421 0.0244012i
\(267\) −0.0430891 0.299691i −0.00263701 0.0183408i
\(268\) −18.8422 + 54.4409i −1.15097 + 3.32551i
\(269\) 10.7637 + 1.02781i 0.656276 + 0.0626667i 0.417881 0.908502i \(-0.362773\pi\)
0.238394 + 0.971168i \(0.423379\pi\)
\(270\) 0.0126934 + 0.266468i 0.000772497 + 0.0162167i
\(271\) −26.2994 + 10.5287i −1.59758 + 0.639574i −0.988181 0.153292i \(-0.951012\pi\)
−0.609397 + 0.792866i \(0.708588\pi\)
\(272\) 40.0321 + 25.7271i 2.42730 + 1.55993i
\(273\) 10.7367 13.2904i 0.649817 0.804371i
\(274\) 44.0792 + 12.9428i 2.66292 + 0.781904i
\(275\) −10.7170 18.5624i −0.646261 1.11936i
\(276\) −18.4336 + 17.7152i −1.10957 + 1.06633i
\(277\) −4.65184 + 8.05723i −0.279502 + 0.484112i −0.971261 0.238017i \(-0.923503\pi\)
0.691759 + 0.722128i \(0.256836\pi\)
\(278\) −3.40030 14.0162i −0.203936 0.840637i
\(279\) −1.34362 + 1.55062i −0.0804405 + 0.0928333i
\(280\) 2.05124 1.14868i 0.122585 0.0686469i
\(281\) 2.31766 16.1197i 0.138260 0.961620i −0.796068 0.605207i \(-0.793091\pi\)
0.934329 0.356413i \(-0.116000\pi\)
\(282\) −26.2477 13.5316i −1.56303 0.805796i
\(283\) 11.0814 + 1.05814i 0.658719 + 0.0629000i 0.419062 0.907958i \(-0.362359\pi\)
0.239657 + 0.970858i \(0.422965\pi\)
\(284\) 23.8119 4.58937i 1.41298 0.272329i
\(285\) 0.00465948 0.00366426i 0.000276004 0.000217052i
\(286\) 31.1972 68.3124i 1.84473 4.03940i
\(287\) −15.9443 14.1862i −0.941162 0.837383i
\(288\) 18.4317 5.41205i 1.08610 0.318908i
\(289\) 5.01160 0.478550i 0.294800 0.0281500i
\(290\) 1.44679 + 0.579209i 0.0849587 + 0.0340123i
\(291\) 10.5615 2.03557i 0.619127 0.119327i
\(292\) 10.2552 14.4014i 0.600140 0.842779i
\(293\) −4.75117 + 3.05339i −0.277566 + 0.178381i −0.672016 0.740536i \(-0.734572\pi\)
0.394450 + 0.918917i \(0.370935\pi\)
\(294\) 15.6700 + 10.6614i 0.913893 + 0.621785i
\(295\) 0.512628 + 0.329446i 0.0298464 + 0.0191811i
\(296\) −9.87845 1.90391i −0.574173 0.110663i
\(297\) −3.10855 + 2.96399i −0.180376 + 0.171988i
\(298\) 11.3620 19.6796i 0.658185 1.14001i
\(299\) 27.5827 + 14.0830i 1.59515 + 0.814444i
\(300\) −26.6028 −1.53591
\(301\) −7.77327 27.8179i −0.448044 1.60340i
\(302\) 17.0730 19.7033i 0.982443 1.13380i
\(303\) 0.315974 6.63312i 0.0181522 0.381063i
\(304\) −0.650569 0.511613i −0.0373127 0.0293430i
\(305\) −0.00816330 0.171369i −0.000467429 0.00981255i
\(306\) −5.43271 + 7.62917i −0.310567 + 0.436131i
\(307\) 7.88924 + 9.10467i 0.450263 + 0.519631i 0.934817 0.355131i \(-0.115564\pi\)
−0.484554 + 0.874761i \(0.661018\pi\)
\(308\) 56.9832 + 20.5628i 3.24692 + 1.17168i
\(309\) 6.08755 13.3299i 0.346308 0.758310i
\(310\) 0.396135 + 0.377714i 0.0224990 + 0.0214527i
\(311\) 0.342209 1.41061i 0.0194049 0.0799882i −0.961286 0.275553i \(-0.911139\pi\)
0.980691 + 0.195565i \(0.0626541\pi\)
\(312\) −33.7822 47.4404i −1.91254 2.68579i
\(313\) 24.7026 19.4263i 1.39627 1.09804i 0.414066 0.910247i \(-0.364108\pi\)
0.982208 0.187795i \(-0.0601341\pi\)
\(314\) 20.7045 + 23.8943i 1.16842 + 1.34843i
\(315\) 0.116401 + 0.233248i 0.00655847 + 0.0131420i
\(316\) 13.4036 8.61400i 0.754014 0.484575i
\(317\) 3.91731 1.56826i 0.220018 0.0880820i −0.259035 0.965868i \(-0.583404\pi\)
0.479053 + 0.877786i \(0.340980\pi\)
\(318\) −6.59970 + 3.40238i −0.370093 + 0.190796i
\(319\) 8.20666 + 23.7116i 0.459484 + 1.32759i
\(320\) −0.569072 2.34575i −0.0318121 0.131131i
\(321\) 5.91970 0.330406
\(322\) −13.0610 + 31.7755i −0.727862 + 1.77078i
\(323\) 0.208111 0.0115796
\(324\) 1.25681 + 5.18063i 0.0698226 + 0.287813i
\(325\) 10.5400 + 30.4533i 0.584654 + 1.68925i
\(326\) −45.4099 + 23.4104i −2.51502 + 1.29658i
\(327\) −14.0666 + 5.63140i −0.777882 + 0.311417i
\(328\) −61.1994 + 39.3304i −3.37917 + 2.17166i
\(329\) −28.8031 1.75094i −1.58796 0.0965325i
\(330\) 0.750351 + 0.865951i 0.0413054 + 0.0476690i
\(331\) −8.46486 + 6.65684i −0.465271 + 0.365893i −0.823102 0.567893i \(-0.807759\pi\)
0.357831 + 0.933786i \(0.383516\pi\)
\(332\) −33.5779 47.1535i −1.84282 2.58788i
\(333\) 0.262988 1.08405i 0.0144117 0.0594057i
\(334\) 2.75104 + 2.62311i 0.150530 + 0.143530i
\(335\) −0.442316 + 0.968538i −0.0241663 + 0.0529169i
\(336\) 27.8171 23.4720i 1.51755 1.28050i
\(337\) −7.10266 8.19691i −0.386907 0.446514i 0.528567 0.848891i \(-0.322729\pi\)
−0.915474 + 0.402377i \(0.868184\pi\)
\(338\) −45.0772 + 63.3020i −2.45188 + 3.44318i
\(339\) 0.195079 + 4.09521i 0.0105952 + 0.222421i
\(340\) 1.42816 + 1.12312i 0.0774530 + 0.0609097i
\(341\) −0.419322 + 8.80266i −0.0227076 + 0.476691i
\(342\) 0.106673 0.123107i 0.00576822 0.00665688i
\(343\) 18.2139 + 3.35477i 0.983457 + 0.181141i
\(344\) −98.4559 −5.30839
\(345\) −0.370277 + 0.293550i −0.0199351 + 0.0158042i
\(346\) −25.7761 + 44.6454i −1.38573 + 2.40015i
\(347\) 0.479037 0.456761i 0.0257161 0.0245202i −0.677112 0.735880i \(-0.736769\pi\)
0.702828 + 0.711360i \(0.251920\pi\)
\(348\) 30.5795 + 5.89371i 1.63923 + 0.315936i
\(349\) 14.5630 + 9.35904i 0.779537 + 0.500978i 0.868880 0.495023i \(-0.164840\pi\)
−0.0893429 + 0.996001i \(0.528477\pi\)
\(350\) −32.7096 + 14.4226i −1.74840 + 0.770919i
\(351\) 5.43255 3.49129i 0.289968 0.186351i
\(352\) 47.8601 67.2101i 2.55095 3.58231i
\(353\) 4.97929 0.959680i 0.265021 0.0510786i −0.0550095 0.998486i \(-0.517519\pi\)
0.320031 + 0.947407i \(0.396307\pi\)
\(354\) 15.5459 + 6.22365i 0.826256 + 0.330783i
\(355\) 0.446171 0.0426041i 0.0236803 0.00226119i
\(356\) −1.54867 + 0.454731i −0.0820794 + 0.0241007i
\(357\) −1.84974 + 8.96313i −0.0978986 + 0.474379i
\(358\) −4.61045 + 10.0955i −0.243670 + 0.533562i
\(359\) −27.0286 + 21.2556i −1.42652 + 1.12183i −0.453456 + 0.891279i \(0.649809\pi\)
−0.973061 + 0.230546i \(0.925949\pi\)
\(360\) 0.872526 0.168166i 0.0459862 0.00886311i
\(361\) 18.9104 + 1.80572i 0.995282 + 0.0950379i
\(362\) 23.9147 + 12.3289i 1.25693 + 0.647992i
\(363\) −1.06001 + 7.37251i −0.0556359 + 0.386956i
\(364\) −78.2742 46.5709i −4.10268 2.44098i
\(365\) 0.213983 0.246950i 0.0112004 0.0129260i
\(366\) −1.11151 4.58170i −0.0580995 0.239489i
\(367\) 7.56295 13.0994i 0.394783 0.683784i −0.598290 0.801279i \(-0.704153\pi\)
0.993073 + 0.117495i \(0.0374864\pi\)
\(368\) 52.0195 + 40.5789i 2.71170 + 2.11532i
\(369\) −4.03320 6.98571i −0.209960 0.363661i
\(370\) −0.285527 0.0838383i −0.0148438 0.00435855i
\(371\) −4.55953 + 5.64397i −0.236719 + 0.293021i
\(372\) 9.20143 + 5.91340i 0.477072 + 0.306595i
\(373\) −9.69878 + 3.88281i −0.502184 + 0.201044i −0.608902 0.793245i \(-0.708390\pi\)
0.106718 + 0.994289i \(0.465966\pi\)
\(374\) 1.91411 + 40.1821i 0.0989761 + 2.07776i
\(375\) −0.979863 0.0935656i −0.0505999 0.00483171i
\(376\) −32.1713 + 92.9530i −1.65911 + 4.79368i
\(377\) −5.36879 37.3408i −0.276507 1.92315i
\(378\) 4.35398 + 5.68851i 0.223944 + 0.292586i
\(379\) 15.5719 4.57231i 0.799873 0.234864i 0.143845 0.989600i \(-0.454053\pi\)
0.656028 + 0.754736i \(0.272235\pi\)
\(380\) −0.0228699 0.0218064i −0.00117320 0.00111865i
\(381\) −0.352226 0.494632i −0.0180451 0.0253408i
\(382\) 35.8771 + 14.3630i 1.83563 + 0.734877i
\(383\) −5.81316 + 16.7960i −0.297039 + 0.858237i 0.693433 + 0.720521i \(0.256097\pi\)
−0.990472 + 0.137716i \(0.956024\pi\)
\(384\) −11.5949 25.3894i −0.591702 1.29565i
\(385\) 1.01229 + 0.478440i 0.0515911 + 0.0243836i
\(386\) −9.01098 + 62.6727i −0.458647 + 3.18996i
\(387\) 0.519450 10.9046i 0.0264051 0.554311i
\(388\) −18.7536 54.1850i −0.952071 2.75083i
\(389\) 3.83518 3.65684i 0.194452 0.185409i −0.586598 0.809878i \(-0.699533\pi\)
0.781050 + 0.624469i \(0.214685\pi\)
\(390\) −0.861358 1.49192i −0.0436166 0.0755461i
\(391\) −16.5893 + 0.0651506i −0.838956 + 0.00329481i
\(392\) 27.7224 56.7178i 1.40019 2.86468i
\(393\) −5.88373 1.72762i −0.296795 0.0871468i
\(394\) 27.7193 + 5.34245i 1.39648 + 0.269149i
\(395\) 0.261743 0.134938i 0.0131697 0.00678946i
\(396\) 17.9983 + 14.1540i 0.904447 + 0.711265i
\(397\) 14.5570 + 7.50468i 0.730597 + 0.376649i 0.783037 0.621975i \(-0.213669\pi\)
−0.0524399 + 0.998624i \(0.516700\pi\)
\(398\) −15.6902 34.3568i −0.786480 1.72215i
\(399\) 0.0468441 0.152127i 0.00234514 0.00761585i
\(400\) 9.76991 + 67.9512i 0.488495 + 3.39756i
\(401\) −1.01552 + 0.0969704i −0.0507127 + 0.00484247i −0.120382 0.992728i \(-0.538412\pi\)
0.0696689 + 0.997570i \(0.477806\pi\)
\(402\) −6.89826 + 28.4350i −0.344054 + 1.41821i
\(403\) 3.12373 12.8762i 0.155604 0.641408i
\(404\) −35.2403 + 3.36504i −1.75327 + 0.167417i
\(405\) 0.0140219 + 0.0975248i 0.000696756 + 0.00484605i
\(406\) 40.7945 9.33188i 2.02460 0.463133i
\(407\) −1.99035 4.35826i −0.0986579 0.216031i
\(408\) 27.7287 + 14.2951i 1.37277 + 0.707714i
\(409\) 3.55463 + 2.79539i 0.175765 + 0.138223i 0.702166 0.712013i \(-0.252216\pi\)
−0.526401 + 0.850237i \(0.676459\pi\)
\(410\) −1.91266 + 0.986045i −0.0944596 + 0.0486973i
\(411\) 16.6607 + 3.21108i 0.821811 + 0.158391i
\(412\) −74.9553 22.0089i −3.69278 1.08430i
\(413\) 16.3534 0.564161i 0.804699 0.0277605i
\(414\) −8.46477 + 9.84674i −0.416021 + 0.483941i
\(415\) −0.534946 0.926554i −0.0262595 0.0454827i
\(416\) −89.7802 + 85.6052i −4.40184 + 4.19714i
\(417\) −1.74224 5.03388i −0.0853179 0.246510i
\(418\) 0.0332910 0.698863i 0.00162831 0.0341825i
\(419\) −0.753810 + 5.24286i −0.0368260 + 0.256131i −0.999915 0.0130534i \(-0.995845\pi\)
0.963089 + 0.269184i \(0.0867540\pi\)
\(420\) 1.14246 0.791165i 0.0557461 0.0386049i
\(421\) −3.06508 6.71159i −0.149383 0.327103i 0.820117 0.572196i \(-0.193909\pi\)
−0.969499 + 0.245094i \(0.921181\pi\)
\(422\) −1.27103 + 3.67239i −0.0618725 + 0.178769i
\(423\) −10.1254 4.05359i −0.492312 0.197092i
\(424\) 14.3461 + 20.1463i 0.696710 + 0.978393i
\(425\) −12.4932 11.9122i −0.606007 0.577827i
\(426\) 11.8177 3.47000i 0.572571 0.168122i
\(427\) −2.80010 3.65836i −0.135506 0.177040i
\(428\) −4.49108 31.2361i −0.217085 1.50986i
\(429\) 9.07180 26.2112i 0.437990 1.26549i
\(430\) −2.89913 0.276833i −0.139808 0.0133501i
\(431\) −1.73484 36.4188i −0.0835645 1.75423i −0.519696 0.854351i \(-0.673955\pi\)
0.436132 0.899883i \(-0.356348\pi\)
\(432\) 12.7713 5.11285i 0.614458 0.245992i
\(433\) 27.1807 + 17.4680i 1.30622 + 0.839458i 0.993875 0.110511i \(-0.0352486\pi\)
0.312347 + 0.949968i \(0.398885\pi\)
\(434\) 14.5196 + 2.28235i 0.696964 + 0.109556i
\(435\) 0.552268 + 0.162160i 0.0264792 + 0.00777500i
\(436\) 40.3867 + 69.9518i 1.93417 + 3.35008i
\(437\) 0.287329 + 0.0262983i 0.0137448 + 0.00125802i
\(438\) 4.48975 7.77647i 0.214528 0.371574i
\(439\) 2.16811 + 8.93705i 0.103478 + 0.426542i 0.999860 0.0167405i \(-0.00532891\pi\)
−0.896382 + 0.443283i \(0.853814\pi\)
\(440\) 2.49934 2.88440i 0.119152 0.137508i
\(441\) 6.13558 + 3.36967i 0.292170 + 0.160460i
\(442\) 8.60742 59.8659i 0.409413 2.84753i
\(443\) 8.88451 + 4.58028i 0.422116 + 0.217616i 0.656178 0.754606i \(-0.272172\pi\)
−0.234063 + 0.972221i \(0.575202\pi\)
\(444\) −5.91968 0.565261i −0.280935 0.0268261i
\(445\) −0.0292924 + 0.00564565i −0.00138859 + 0.000267629i
\(446\) −3.84741 + 3.02564i −0.182180 + 0.143268i
\(447\) 3.48650 7.63437i 0.164906 0.361093i
\(448\) −48.4246 43.0850i −2.28785 2.03558i
\(449\) 31.8325 9.34686i 1.50227 0.441105i 0.575835 0.817566i \(-0.304677\pi\)
0.926433 + 0.376461i \(0.122859\pi\)
\(450\) −13.4504 + 1.28435i −0.634056 + 0.0605450i
\(451\) −32.1646 12.8768i −1.51457 0.606343i
\(452\) 21.4609 4.13625i 1.00944 0.194553i
\(453\) 5.58539 7.84359i 0.262425 0.368524i
\(454\) −7.71534 + 4.95835i −0.362099 + 0.232707i
\(455\) −1.35832 0.994361i −0.0636791 0.0466163i
\(456\) −0.456451 0.293343i −0.0213753 0.0137371i
\(457\) 36.8990 + 7.11169i 1.72606 + 0.332671i 0.953300 0.302025i \(-0.0976628\pi\)
0.772761 + 0.634697i \(0.218875\pi\)
\(458\) −52.1110 + 49.6877i −2.43499 + 2.32175i
\(459\) −1.72957 + 2.99570i −0.0807292 + 0.139827i
\(460\) 1.82988 + 1.73111i 0.0853184 + 0.0807136i
\(461\) 0.544250 0.0253483 0.0126741 0.999920i \(-0.495966\pi\)
0.0126741 + 0.999920i \(0.495966\pi\)
\(462\) 29.8035 + 7.64548i 1.38658 + 0.355700i
\(463\) 3.82531 4.41465i 0.177777 0.205166i −0.659866 0.751383i \(-0.729387\pi\)
0.837644 + 0.546217i \(0.183933\pi\)
\(464\) 3.82389 80.2734i 0.177520 3.72660i
\(465\) 0.158905 + 0.124964i 0.00736905 + 0.00579508i
\(466\) −3.23996 68.0150i −0.150088 3.15074i
\(467\) −6.06932 + 8.52317i −0.280855 + 0.394405i −0.930772 0.365599i \(-0.880864\pi\)
0.649918 + 0.760005i \(0.274803\pi\)
\(468\) −22.5438 26.0169i −1.04209 1.20263i
\(469\) 5.04236 + 28.1437i 0.232835 + 1.29955i
\(470\) −1.20868 + 2.64663i −0.0557521 + 0.122080i
\(471\) 8.45117 + 8.05818i 0.389410 + 0.371301i
\(472\) 13.1500 54.2051i 0.605278 2.49499i
\(473\) −27.1989 38.1954i −1.25060 1.75623i
\(474\) 6.36101 5.00235i 0.292171 0.229766i
\(475\) 0.196608 + 0.226898i 0.00902102 + 0.0104108i
\(476\) 48.6985 + 2.96039i 2.23209 + 0.135689i
\(477\) −2.30702 + 1.48263i −0.105631 + 0.0678850i
\(478\) 4.38382 1.75502i 0.200511 0.0802727i
\(479\) 35.5502 18.3274i 1.62433 0.837400i 0.625989 0.779832i \(-0.284696\pi\)
0.998342 0.0575683i \(-0.0183347\pi\)
\(480\) −0.619043 1.78861i −0.0282553 0.0816384i
\(481\) 1.69830 + 7.00047i 0.0774357 + 0.319194i
\(482\) −4.63197 −0.210980
\(483\) −3.68650 + 12.1412i −0.167741 + 0.552446i
\(484\) 39.7063 1.80483
\(485\) −0.249846 1.02988i −0.0113449 0.0467645i
\(486\) 0.885557 + 2.55865i 0.0401697 + 0.116063i
\(487\) −21.5908 + 11.1308i −0.978373 + 0.504386i −0.871770 0.489916i \(-0.837028\pi\)
−0.106603 + 0.994302i \(0.533997\pi\)
\(488\) −14.5789 + 5.83653i −0.659958 + 0.264207i
\(489\) −15.8737 + 10.2014i −0.717833 + 0.461323i
\(490\) 0.975790 1.59216i 0.0440817 0.0719265i
\(491\) 12.1301 + 13.9989i 0.547425 + 0.631762i 0.960281 0.279034i \(-0.0900144\pi\)
−0.412857 + 0.910796i \(0.635469\pi\)
\(492\) −33.8012 + 26.5816i −1.52388 + 1.19839i
\(493\) 11.7216 + 16.4607i 0.527915 + 0.741353i
\(494\) −0.248000 + 1.02227i −0.0111580 + 0.0459940i
\(495\) 0.306278 + 0.292035i 0.0137662 + 0.0131260i
\(496\) 11.7253 25.6748i 0.526482 1.15283i
\(497\) 9.19838 7.76158i 0.412604 0.348154i
\(498\) −19.2535 22.2197i −0.862769 0.995689i
\(499\) 0.861691 1.21008i 0.0385746 0.0541704i −0.794838 0.606821i \(-0.792444\pi\)
0.833413 + 0.552651i \(0.186384\pi\)
\(500\) 0.249677 + 5.24137i 0.0111659 + 0.234401i
\(501\) 1.10355 + 0.867839i 0.0493029 + 0.0387722i
\(502\) −0.648362 + 13.6108i −0.0289378 + 0.607479i
\(503\) −5.04945 + 5.82737i −0.225144 + 0.259830i −0.857071 0.515198i \(-0.827719\pi\)
0.631928 + 0.775027i \(0.282264\pi\)
\(504\) 16.6911 17.0516i 0.743479 0.759539i
\(505\) −0.654287 −0.0291154
\(506\) −2.43496 + 55.7194i −0.108247 + 2.47703i
\(507\) −14.3508 + 24.8564i −0.637343 + 1.10391i
\(508\) −2.34277 + 2.23383i −0.103944 + 0.0991102i
\(509\) 40.7092 + 7.84606i 1.80440 + 0.347770i 0.976901 0.213691i \(-0.0685487\pi\)
0.827503 + 0.561462i \(0.189761\pi\)
\(510\) 0.776303 + 0.498899i 0.0343753 + 0.0220916i
\(511\) 0.948554 8.72307i 0.0419616 0.385886i
\(512\) −13.5708 + 8.72139i −0.599748 + 0.385435i
\(513\) 0.0348978 0.0490071i 0.00154077 0.00216372i
\(514\) −73.0490 + 14.0790i −3.22205 + 0.621000i
\(515\) −1.34041 0.536620i −0.0590656 0.0236463i
\(516\) −57.9337 + 5.53200i −2.55039 + 0.243533i
\(517\) −44.9481 + 13.1979i −1.97681 + 0.580445i
\(518\) −7.58504 + 2.51431i −0.333268 + 0.110472i
\(519\) −7.90952 + 17.3194i −0.347189 + 0.760238i
\(520\) −4.51053 + 3.54712i −0.197800 + 0.155551i
\(521\) 24.5560 4.73279i 1.07582 0.207347i 0.379582 0.925158i \(-0.376068\pi\)
0.696238 + 0.717811i \(0.254856\pi\)
\(522\) 15.7455 + 1.50352i 0.689163 + 0.0658071i
\(523\) −36.5665 18.8514i −1.59894 0.824312i −0.999718 0.0237317i \(-0.992445\pi\)
−0.599225 0.800581i \(-0.704524\pi\)
\(524\) −4.65223 + 32.3570i −0.203234 + 1.41352i
\(525\) −11.5198 + 6.45101i −0.502765 + 0.281545i
\(526\) −5.70165 + 6.58006i −0.248604 + 0.286904i
\(527\) 1.67326 + 6.89727i 0.0728883 + 0.300450i
\(528\) 29.5435 51.1709i 1.28572 2.22693i
\(529\) −22.9123 2.00639i −0.996188 0.0872343i
\(530\) 0.365789 + 0.633566i 0.0158889 + 0.0275203i
\(531\) 5.93416 + 1.74243i 0.257521 + 0.0756149i
\(532\) −0.838256 0.131766i −0.0363430 0.00571279i
\(533\) 43.8211 + 28.1621i 1.89810 + 1.21984i
\(534\) −0.761054 + 0.304680i −0.0329340 + 0.0131848i
\(535\) −0.0277524 0.582594i −0.00119984 0.0251877i
\(536\) 97.0201 + 9.26430i 4.19063 + 0.400157i
\(537\) −1.34066 + 3.87360i −0.0578539 + 0.167158i
\(538\) −4.16641 28.9780i −0.179627 1.24933i
\(539\) 29.6618 4.91376i 1.27762 0.211651i
\(540\) 0.503965 0.147978i 0.0216872 0.00636794i
\(541\) −12.1636 11.5980i −0.522954 0.498635i 0.381990 0.924166i \(-0.375239\pi\)
−0.904944 + 0.425531i \(0.860087\pi\)
\(542\) 44.4914 + 62.4794i 1.91107 + 2.68372i
\(543\) 9.22540 + 3.69329i 0.395900 + 0.158494i
\(544\) 21.7335 62.7949i 0.931817 2.69231i
\(545\) 0.620166 + 1.35797i 0.0265650 + 0.0581692i
\(546\) −41.8238 19.7673i −1.78989 0.845961i
\(547\) 2.73786 19.0423i 0.117063 0.814188i −0.843700 0.536815i \(-0.819627\pi\)
0.960762 0.277373i \(-0.0894637\pi\)
\(548\) 4.30383 90.3486i 0.183851 3.85950i
\(549\) −0.569513 1.64550i −0.0243062 0.0702282i
\(550\) −42.0012 + 40.0481i −1.79094 + 1.70766i
\(551\) −0.175730 0.304374i −0.00748637 0.0129668i
\(552\) 36.4773 + 23.2406i 1.55258 + 0.989186i
\(553\) 3.71534 6.98043i 0.157992 0.296838i
\(554\) 24.1699 + 7.09693i 1.02688 + 0.301520i
\(555\) −0.107921 0.0208001i −0.00458100 0.000882915i
\(556\) −25.2402 + 13.0122i −1.07042 + 0.551841i
\(557\) 18.7107 + 14.7142i 0.792796 + 0.623462i 0.930200 0.367053i \(-0.119633\pi\)
−0.137404 + 0.990515i \(0.543876\pi\)
\(558\) 4.93774 + 2.54558i 0.209031 + 0.107763i
\(559\) 29.2860 + 64.1275i 1.23867 + 2.71230i
\(560\) −2.44044 2.62761i −0.103127 0.111037i
\(561\) 2.11444 + 14.7063i 0.0892718 + 0.620899i
\(562\) −43.8942 + 4.19139i −1.85157 + 0.176803i
\(563\) 4.05747 16.7251i 0.171002 0.704880i −0.820150 0.572149i \(-0.806110\pi\)
0.991152 0.132731i \(-0.0423748\pi\)
\(564\) −13.7075 + 56.5032i −0.577191 + 2.37922i
\(565\) 0.402120 0.0383978i 0.0169173 0.00161541i
\(566\) −4.28937 29.8332i −0.180296 1.25398i
\(567\) 1.80051 + 1.93860i 0.0756142 + 0.0814136i
\(568\) −17.0426 37.3181i −0.715092 1.56583i
\(569\) −20.4910 10.5638i −0.859028 0.442860i −0.0283402 0.999598i \(-0.509022\pi\)
−0.830688 + 0.556739i \(0.812052\pi\)
\(570\) −0.0126158 0.00992120i −0.000528419 0.000415553i
\(571\) 3.39808 1.75183i 0.142205 0.0733118i −0.385655 0.922643i \(-0.626025\pi\)
0.527861 + 0.849331i \(0.322994\pi\)
\(572\) −145.190 27.9830i −6.07069 1.17003i
\(573\) 13.6950 + 4.02120i 0.572115 + 0.167988i
\(574\) −27.1495 + 51.0088i −1.13320 + 2.12906i
\(575\) −15.7434 18.0254i −0.656547 0.751710i
\(576\) −12.2493 21.2164i −0.510387 0.884017i
\(577\) 14.2143 13.5533i 0.591747 0.564230i −0.333904 0.942607i \(-0.608366\pi\)
0.925652 + 0.378377i \(0.123518\pi\)
\(578\) −4.45825 12.8813i −0.185439 0.535790i
\(579\) −1.11272 + 23.3588i −0.0462430 + 0.970759i
\(580\) 0.436675 3.03714i 0.0181320 0.126111i
\(581\) −25.9747 12.2765i −1.07761 0.509313i
\(582\) −12.0978 26.4905i −0.501471 1.09807i
\(583\) −3.85248 + 11.1310i −0.159554 + 0.461000i
\(584\) −27.7673 11.1163i −1.14902 0.459998i
\(585\) −0.369067 0.518283i −0.0152591 0.0214283i
\(586\) 11.0670 + 10.5524i 0.457175 + 0.435916i
\(587\) 16.4088 4.81806i 0.677263 0.198862i 0.0750285 0.997181i \(-0.476095\pi\)
0.602235 + 0.798319i \(0.294277\pi\)
\(588\) 13.1257 34.9317i 0.541294 1.44056i
\(589\) −0.0175673 0.122183i −0.000723848 0.00503448i
\(590\) 0.539625 1.55915i 0.0222160 0.0641890i
\(591\) 10.3789 + 0.991067i 0.426932 + 0.0407671i
\(592\) 0.730171 + 15.3282i 0.0300098 + 0.629984i
\(593\) −33.2601 + 13.3154i −1.36583 + 0.546796i −0.934682 0.355485i \(-0.884316\pi\)
−0.431148 + 0.902281i \(0.641891\pi\)
\(594\) 9.78327 + 6.28733i 0.401412 + 0.257972i
\(595\) 0.890788 + 0.140024i 0.0365187 + 0.00574042i
\(596\) −42.9289 12.6051i −1.75844 0.516324i
\(597\) −6.97491 12.0809i −0.285464 0.494438i
\(598\) 19.4489 81.5665i 0.795327 3.33550i
\(599\) −12.3264 + 21.3499i −0.503643 + 0.872335i 0.496348 + 0.868123i \(0.334674\pi\)
−0.999991 + 0.00421128i \(0.998660\pi\)
\(600\) 10.6105 + 43.7369i 0.433170 + 1.78555i
\(601\) −7.36471 + 8.49933i −0.300413 + 0.346695i −0.885807 0.464054i \(-0.846394\pi\)
0.585394 + 0.810749i \(0.300940\pi\)
\(602\) −68.2337 + 38.2104i −2.78100 + 1.55734i
\(603\) −1.53795 + 10.6967i −0.0626302 + 0.435603i
\(604\) −45.6252 23.5214i −1.85646 0.957074i
\(605\) 0.730543 + 0.0697584i 0.0297008 + 0.00283608i
\(606\) −17.6550 + 3.40273i −0.717187 + 0.138226i
\(607\) 28.0400 22.0509i 1.13811 0.895020i 0.142610 0.989779i \(-0.454451\pi\)
0.995500 + 0.0947593i \(0.0302082\pi\)
\(608\) −0.480103 + 1.05128i −0.0194707 + 0.0426350i
\(609\) 14.6710 4.86319i 0.594500 0.197066i
\(610\) −0.445702 + 0.130870i −0.0180459 + 0.00529877i
\(611\) 70.1127 6.69495i 2.83646 0.270849i
\(612\) 17.1194 + 6.85356i 0.692010 + 0.277039i
\(613\) −8.98513 + 1.73174i −0.362906 + 0.0699444i −0.367445 0.930045i \(-0.619767\pi\)
0.00453887 + 0.999990i \(0.498555\pi\)
\(614\) 18.9206 26.5703i 0.763574 1.07229i
\(615\) −0.668598 + 0.429682i −0.0269605 + 0.0173264i
\(616\) 11.0792 101.886i 0.446393 4.10511i
\(617\) −21.6183 13.8932i −0.870318 0.559320i 0.0275317 0.999621i \(-0.491235\pi\)
−0.897850 + 0.440301i \(0.854872\pi\)
\(618\) −38.9600 7.50892i −1.56720 0.302053i
\(619\) 16.6755 15.9000i 0.670243 0.639075i −0.276519 0.961008i \(-0.589181\pi\)
0.946763 + 0.321933i \(0.104333\pi\)
\(620\) 0.538836 0.933291i 0.0216402 0.0374819i
\(621\) −2.76649 + 3.91746i −0.111015 + 0.157202i
\(622\) −3.93009 −0.157582
\(623\) −0.560352 + 0.572456i −0.0224500 + 0.0229350i
\(624\) −58.1755 + 67.1381i −2.32888 + 2.68767i
\(625\) 1.18262 24.8263i 0.0473049 0.993053i
\(626\) −66.8839 52.5981i −2.67322 2.10224i
\(627\) −0.0122955 0.258115i −0.000491037 0.0103081i
\(628\) 36.1085 50.7073i 1.44089 2.02344i
\(629\) −2.52688 2.91618i −0.100753 0.116276i
\(630\) 0.539429 0.455170i 0.0214914 0.0181344i
\(631\) −4.25092 + 9.30821i −0.169226 + 0.370554i −0.975176 0.221430i \(-0.928928\pi\)
0.805950 + 0.591984i \(0.201655\pi\)
\(632\) −19.5081 18.6009i −0.775990 0.739905i
\(633\) −0.338381 + 1.39482i −0.0134494 + 0.0554393i
\(634\) −6.62701 9.30633i −0.263192 0.369602i
\(635\) −0.0470285 + 0.0369836i −0.00186627 + 0.00146765i
\(636\) 9.57357 + 11.0485i 0.379617 + 0.438101i
\(637\) −45.1882 1.18560i −1.79042 0.0469754i
\(638\) 57.1523 36.7296i 2.26268 1.45414i
\(639\) 4.22312 1.69068i 0.167064 0.0668824i
\(640\) −2.44436 + 1.26016i −0.0966220 + 0.0498121i
\(641\) −9.63923 27.8507i −0.380727 1.10004i −0.958807 0.284058i \(-0.908319\pi\)
0.578080 0.815980i \(-0.303802\pi\)
\(642\) −3.77874 15.5762i −0.149135 0.614742i
\(643\) 9.63759 0.380070 0.190035 0.981777i \(-0.439140\pi\)
0.190035 + 0.981777i \(0.439140\pi\)
\(644\) 66.8618 + 10.2412i 2.63472 + 0.403558i
\(645\) −1.07562 −0.0423526
\(646\) −0.132844 0.547590i −0.00522667 0.0215446i
\(647\) 8.04990 + 23.2587i 0.316474 + 0.914392i 0.985279 + 0.170954i \(0.0546850\pi\)
−0.668805 + 0.743438i \(0.733194\pi\)
\(648\) 8.01607 4.13257i 0.314901 0.162343i
\(649\) 24.6613 9.87290i 0.968041 0.387545i
\(650\) 73.4021 47.1727i 2.87907 1.85026i
\(651\) 5.41846 + 0.329389i 0.212366 + 0.0129098i
\(652\) 65.8719 + 76.0202i 2.57974 + 2.97718i
\(653\) 10.0588 7.91030i 0.393630 0.309554i −0.401654 0.915792i \(-0.631564\pi\)
0.795284 + 0.606238i \(0.207322\pi\)
\(654\) 23.7967 + 33.4178i 0.930525 + 1.30674i
\(655\) −0.142442 + 0.587153i −0.00556566 + 0.0229420i
\(656\) 80.3106 + 76.5760i 3.13560 + 2.98979i
\(657\) 1.37770 3.01675i 0.0537493 0.117694i
\(658\) 13.7788 + 76.9055i 0.537153 + 2.99809i
\(659\) −15.6919 18.1094i −0.611269 0.705442i 0.362756 0.931884i \(-0.381836\pi\)
−0.974025 + 0.226442i \(0.927290\pi\)
\(660\) 1.30860 1.83768i 0.0509373 0.0715314i
\(661\) 1.70426 + 35.7769i 0.0662881 + 1.39156i 0.749822 + 0.661640i \(0.230139\pi\)
−0.683534 + 0.729919i \(0.739558\pi\)
\(662\) 22.9191 + 18.0238i 0.890778 + 0.700515i
\(663\) 1.06288 22.3127i 0.0412790 0.866553i
\(664\) −64.1314 + 74.0116i −2.48878 + 2.87221i
\(665\) −0.0151913 0.00389702i −0.000589094 0.000151120i
\(666\) −3.02028 −0.117033
\(667\) 14.1034 + 24.2078i 0.546087 + 0.937329i
\(668\) 3.74205 6.48142i 0.144784 0.250774i
\(669\) −1.30833 + 1.24749i −0.0505829 + 0.0482307i
\(670\) 2.83080 + 0.545592i 0.109363 + 0.0210781i
\(671\) −6.29175 4.04346i −0.242890 0.156096i
\(672\) −41.0103 30.0216i −1.58201 1.15811i
\(673\) −5.09665 + 3.27542i −0.196461 + 0.126258i −0.635173 0.772370i \(-0.719071\pi\)
0.438712 + 0.898628i \(0.355435\pi\)
\(674\) −17.0342 + 23.9212i −0.656132 + 0.921409i
\(675\) −4.90011 + 0.944419i −0.188605 + 0.0363507i
\(676\) 142.046 + 56.8665i 5.46330 + 2.18717i
\(677\) −19.3260 + 1.84541i −0.742759 + 0.0709249i −0.459573 0.888140i \(-0.651997\pi\)
−0.283186 + 0.959065i \(0.591391\pi\)
\(678\) 10.6510 3.12740i 0.409047 0.120107i
\(679\) −21.2604 18.9161i −0.815900 0.725934i
\(680\) 1.27687 2.79596i 0.0489659 0.107220i
\(681\) −2.66257 + 2.09387i −0.102030 + 0.0802372i
\(682\) 23.4296 4.51568i 0.897166 0.172915i
\(683\) −12.8351 1.22560i −0.491120 0.0468963i −0.153442 0.988158i \(-0.549036\pi\)
−0.337679 + 0.941261i \(0.609642\pi\)
\(684\) −0.285068 0.146963i −0.0108999 0.00561927i
\(685\) 0.237915 1.65473i 0.00909026 0.0632241i
\(686\) −2.79929 50.0666i −0.106878 1.91155i
\(687\) −17.4149 + 20.0978i −0.664419 + 0.766781i
\(688\) 35.4066 + 145.948i 1.34986 + 5.56421i
\(689\) 8.85465 15.3367i 0.337335 0.584282i
\(690\) 1.00876 + 0.786907i 0.0384029 + 0.0299570i
\(691\) 6.48147 + 11.2262i 0.246567 + 0.427066i 0.962571 0.271030i \(-0.0873642\pi\)
−0.716004 + 0.698096i \(0.754031\pi\)
\(692\) 97.3890 + 28.5960i 3.70218 + 1.08706i
\(693\) 11.2261 + 1.76463i 0.426443 + 0.0670329i
\(694\) −1.50763 0.968897i −0.0572290 0.0367788i
\(695\) −0.487246 + 0.195064i −0.0184823 + 0.00739920i
\(696\) −2.50687 52.6257i −0.0950227 1.99477i
\(697\) −27.7764 2.65232i −1.05211 0.100464i
\(698\) 15.3299 44.2928i 0.580245 1.67651i
\(699\) −3.57906 24.8929i −0.135372 0.941536i
\(700\) 42.7793 + 55.8916i 1.61691 + 2.11251i
\(701\) 44.1896 12.9752i 1.66902 0.490068i 0.695472 0.718553i \(-0.255195\pi\)
0.973547 + 0.228485i \(0.0733772\pi\)
\(702\) −12.6542 12.0657i −0.477602 0.455392i
\(703\) 0.0389284 + 0.0546673i 0.00146821 + 0.00206182i
\(704\) −97.6876 39.1082i −3.68174 1.47395i
\(705\) −0.351469 + 1.01550i −0.0132371 + 0.0382460i
\(706\) −5.70359 12.4891i −0.214658 0.470035i
\(707\) −14.4441 + 10.0027i −0.543226 + 0.376191i
\(708\) 4.69211 32.6343i 0.176340 1.22647i
\(709\) 1.68026 35.2730i 0.0631035 1.32471i −0.716128 0.697969i \(-0.754087\pi\)
0.779231 0.626737i \(-0.215610\pi\)
\(710\) −0.396907 1.14679i −0.0148956 0.0430381i
\(711\) 2.16309 2.06250i 0.0811222 0.0773499i
\(712\) 1.36530 + 2.36476i 0.0511667 + 0.0886233i
\(713\) 1.43861 + 9.73419i 0.0538762 + 0.364548i
\(714\) 24.7649 0.854341i 0.926803 0.0319729i
\(715\) −2.62214 0.769929i −0.0980623 0.0287937i
\(716\) 21.4567 + 4.13544i 0.801874 + 0.154549i
\(717\) 1.55016 0.799162i 0.0578917 0.0298452i
\(718\) 73.1818 + 57.5508i 2.73112 + 2.14778i
\(719\) −33.8574 17.4547i −1.26267 0.650950i −0.308784 0.951132i \(-0.599922\pi\)
−0.953882 + 0.300182i \(0.902952\pi\)
\(720\) −0.563060 1.23293i −0.0209840 0.0459486i
\(721\) −37.7949 + 8.64571i −1.40756 + 0.321983i
\(722\) −7.31981 50.9104i −0.272415 1.89469i
\(723\) −1.70301 + 0.162617i −0.0633355 + 0.00604780i
\(724\) 12.4892 51.4811i 0.464157 1.91328i
\(725\) −6.87296 + 28.3307i −0.255255 + 1.05218i
\(726\) 20.0755 1.91698i 0.745071 0.0711457i
\(727\) 0.591648 + 4.11500i 0.0219430 + 0.152617i 0.997847 0.0655828i \(-0.0208907\pi\)
−0.975904 + 0.218200i \(0.929982\pi\)
\(728\) −45.3466 + 147.263i −1.68066 + 5.45794i
\(729\) 0.415415 + 0.909632i 0.0153857 + 0.0336901i
\(730\) −0.786378 0.405406i −0.0291051 0.0150047i
\(731\) −29.6839 23.3437i −1.09790 0.863396i
\(732\) −8.25064 + 4.25350i −0.304953 + 0.157214i
\(733\) 30.2419 + 5.82865i 1.11701 + 0.215286i 0.714162 0.699980i \(-0.246808\pi\)
0.402849 + 0.915266i \(0.368020\pi\)
\(734\) −39.2954 11.5382i −1.45042 0.425882i
\(735\) 0.302865 0.619637i 0.0111713 0.0228557i
\(736\) 37.9417 83.9517i 1.39855 3.09450i
\(737\) 23.2082 + 40.1977i 0.854884 + 1.48070i
\(738\) −15.8066 + 15.0715i −0.581847 + 0.554790i
\(739\) −3.29719 9.52659i −0.121289 0.350441i 0.867970 0.496617i \(-0.165425\pi\)
−0.989259 + 0.146176i \(0.953303\pi\)
\(740\) −0.0278785 + 0.585241i −0.00102483 + 0.0215139i
\(741\) −0.0552910 + 0.384557i −0.00203117 + 0.0141271i
\(742\) 17.7612 + 8.39449i 0.652032 + 0.308171i
\(743\) 10.8272 + 23.7082i 0.397210 + 0.869769i 0.997546 + 0.0700205i \(0.0223065\pi\)
−0.600335 + 0.799748i \(0.704966\pi\)
\(744\) 6.05210 17.4864i 0.221881 0.641082i
\(745\) −0.767690 0.307337i −0.0281260 0.0112599i
\(746\) 16.4076 + 23.0413i 0.600727 + 0.843603i
\(747\) −7.85888 7.49343i −0.287541 0.274170i
\(748\) 75.9955 22.3143i 2.77867 0.815892i
\(749\) −9.51935 12.4371i −0.347829 0.454443i
\(750\) 0.379285 + 2.63798i 0.0138495 + 0.0963255i
\(751\) 1.13879 3.29033i 0.0415552 0.120066i −0.922314 0.386440i \(-0.873705\pi\)
0.963870 + 0.266374i \(0.0858258\pi\)
\(752\) 149.360 + 14.2621i 5.44659 + 0.520087i
\(753\) 0.239463 + 5.02695i 0.00872652 + 0.183192i
\(754\) −94.8255 + 37.9624i −3.45334 + 1.38251i
\(755\) −0.798120 0.512921i −0.0290466 0.0186671i
\(756\) 8.86331 10.9714i 0.322356 0.399025i
\(757\) −28.2184 8.28567i −1.02562 0.301148i −0.274688 0.961533i \(-0.588575\pi\)
−0.750927 + 0.660385i \(0.770393\pi\)
\(758\) −21.9709 38.0547i −0.798019 1.38221i
\(759\) 1.06093 + 20.5715i 0.0385093 + 0.746697i
\(760\) −0.0267298 + 0.0462974i −0.000969592 + 0.00167938i
\(761\) 2.88355 + 11.8862i 0.104529 + 0.430873i 0.999896 0.0144565i \(-0.00460179\pi\)
−0.895367 + 0.445329i \(0.853087\pi\)
\(762\) −1.07666 + 1.24253i −0.0390033 + 0.0450122i
\(763\) 34.4515 + 20.4977i 1.24723 + 0.742067i
\(764\) 10.8285 75.3141i 0.391762 2.72477i
\(765\) 0.302933 + 0.156173i 0.0109526 + 0.00564644i
\(766\) 47.9052 + 4.57439i 1.73088 + 0.165279i
\(767\) −39.2170 + 7.55846i −1.41604 + 0.272920i
\(768\) −20.8898 + 16.4279i −0.753796 + 0.592791i
\(769\) 1.32144 2.89354i 0.0476523 0.104344i −0.884308 0.466903i \(-0.845370\pi\)
0.931961 + 0.362559i \(0.118097\pi\)
\(770\) 0.612715 2.96898i 0.0220807 0.106995i
\(771\) −26.3632 + 7.74092i −0.949446 + 0.278783i
\(772\) 124.100 11.8501i 4.46646 0.426496i