Properties

Label 570.2.n.a.179.14
Level $570$
Weight $2$
Character 570.179
Analytic conductor $4.551$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.n (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 179.14
Character \(\chi\) \(=\) 570.179
Dual form 570.2.n.a.449.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(0.927823 - 1.46258i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-2.22992 + 0.165751i) q^{5} +(-1.53481 + 0.802721i) q^{6} +3.47395i q^{7} -1.00000i q^{8} +(-1.27829 - 2.71403i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(0.927823 - 1.46258i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-2.22992 + 0.165751i) q^{5} +(-1.53481 + 0.802721i) q^{6} +3.47395i q^{7} -1.00000i q^{8} +(-1.27829 - 2.71403i) q^{9} +(2.01404 + 0.971414i) q^{10} +0.871798i q^{11} +(1.73054 + 0.0722272i) q^{12} +(3.15654 + 5.46729i) q^{13} +(1.73697 - 3.00853i) q^{14} +(-1.82654 + 3.41522i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(1.49855 - 2.59556i) q^{17} +(-0.249985 + 2.98957i) q^{18} +(2.18388 - 3.77235i) q^{19} +(-1.25850 - 1.84829i) q^{20} +(5.08093 + 3.22321i) q^{21} +(0.435899 - 0.754999i) q^{22} +(4.27390 + 7.40261i) q^{23} +(-1.46258 - 0.927823i) q^{24} +(4.94505 - 0.739220i) q^{25} -6.31309i q^{26} +(-5.15552 - 0.648538i) q^{27} +(-3.00853 + 1.73697i) q^{28} +(4.44343 + 7.69625i) q^{29} +(3.28944 - 2.04440i) q^{30} -2.00425i q^{31} +(0.866025 - 0.500000i) q^{32} +(1.27508 + 0.808874i) q^{33} +(-2.59556 + 1.49855i) q^{34} +(-0.575809 - 7.74661i) q^{35} +(1.71128 - 2.46405i) q^{36} -4.94132 q^{37} +(-3.77748 + 2.17501i) q^{38} +(10.9251 + 0.455977i) q^{39} +(0.165751 + 2.22992i) q^{40} +(-0.105045 + 0.181944i) q^{41} +(-2.78861 - 5.33184i) q^{42} +(-1.37404 - 0.793300i) q^{43} +(-0.754999 + 0.435899i) q^{44} +(3.30033 + 5.84019i) q^{45} -8.54779i q^{46} +(-0.872714 - 1.51159i) q^{47} +(0.802721 + 1.53481i) q^{48} -5.06830 q^{49} +(-4.65215 - 1.83234i) q^{50} +(-2.40583 - 4.59997i) q^{51} +(-3.15654 + 5.46729i) q^{52} +(-0.569365 + 0.328723i) q^{53} +(4.14054 + 3.13941i) q^{54} +(-0.144501 - 1.94404i) q^{55} +3.47395 q^{56} +(-3.49112 - 6.69418i) q^{57} -8.88687i q^{58} +(2.18147 - 3.77842i) q^{59} +(-3.87094 + 0.125778i) q^{60} +(-0.485137 - 0.840282i) q^{61} +(-1.00213 + 1.73573i) q^{62} +(9.42841 - 4.44071i) q^{63} -1.00000 q^{64} +(-7.94503 - 11.6684i) q^{65} +(-0.699811 - 1.33804i) q^{66} +(4.83674 + 8.37747i) q^{67} +2.99709 q^{68} +(14.7923 + 0.617383i) q^{69} +(-3.37464 + 6.99667i) q^{70} +(-4.33372 + 7.50622i) q^{71} +(-2.71403 + 1.27829i) q^{72} +(4.86967 + 2.81151i) q^{73} +(4.27931 + 2.47066i) q^{74} +(3.50696 - 7.91841i) q^{75} +(4.35890 + 0.00512138i) q^{76} -3.02858 q^{77} +(-9.23340 - 5.85742i) q^{78} +(1.31199 + 0.757479i) q^{79} +(0.971414 - 2.01404i) q^{80} +(-5.73195 + 6.93864i) q^{81} +(0.181944 - 0.105045i) q^{82} +11.8477 q^{83} +(-0.250914 + 6.01182i) q^{84} +(-2.91142 + 6.03626i) q^{85} +(0.793300 + 1.37404i) q^{86} +(15.3791 + 0.641874i) q^{87} +0.871798 q^{88} +(-1.69946 - 2.94355i) q^{89} +(0.0619225 - 6.70792i) q^{90} +(-18.9931 + 10.9657i) q^{91} +(-4.27390 + 7.40261i) q^{92} +(-2.93138 - 1.85959i) q^{93} +1.74543i q^{94} +(-4.24461 + 8.77401i) q^{95} +(0.0722272 - 1.73054i) q^{96} +(-5.86425 + 10.1572i) q^{97} +(4.38928 + 2.53415i) q^{98} +(2.36609 - 1.11441i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 40q^{4} + O(q^{10}) \) \( 80q + 40q^{4} + 30q^{15} - 40q^{16} + 8q^{19} + 8q^{25} - 4q^{30} + 48q^{39} + 12q^{45} - 128q^{49} - 36q^{54} + 12q^{55} + 30q^{60} - 24q^{61} - 80q^{64} + 4q^{66} + 36q^{70} + 16q^{76} + 24q^{79} + 32q^{81} - 8q^{85} - 54q^{90} + 24q^{91} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 0.500000i −0.612372 0.353553i
\(3\) 0.927823 1.46258i 0.535679 0.844422i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −2.22992 + 0.165751i −0.997249 + 0.0741260i
\(6\) −1.53481 + 0.802721i −0.626583 + 0.327710i
\(7\) 3.47395i 1.31303i 0.754314 + 0.656514i \(0.227970\pi\)
−0.754314 + 0.656514i \(0.772030\pi\)
\(8\) 1.00000i 0.353553i
\(9\) −1.27829 2.71403i −0.426097 0.904678i
\(10\) 2.01404 + 0.971414i 0.636895 + 0.307188i
\(11\) 0.871798i 0.262857i 0.991326 + 0.131429i \(0.0419564\pi\)
−0.991326 + 0.131429i \(0.958044\pi\)
\(12\) 1.73054 + 0.0722272i 0.499565 + 0.0208502i
\(13\) 3.15654 + 5.46729i 0.875468 + 1.51635i 0.856264 + 0.516539i \(0.172780\pi\)
0.0192037 + 0.999816i \(0.493887\pi\)
\(14\) 1.73697 3.00853i 0.464226 0.804062i
\(15\) −1.82654 + 3.41522i −0.471611 + 0.881806i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 1.49855 2.59556i 0.363451 0.629516i −0.625075 0.780564i \(-0.714932\pi\)
0.988526 + 0.151049i \(0.0482651\pi\)
\(18\) −0.249985 + 2.98957i −0.0589220 + 0.704648i
\(19\) 2.18388 3.77235i 0.501017 0.865437i
\(20\) −1.25850 1.84829i −0.281410 0.413290i
\(21\) 5.08093 + 3.22321i 1.10875 + 0.703361i
\(22\) 0.435899 0.754999i 0.0929340 0.160966i
\(23\) 4.27390 + 7.40261i 0.891169 + 1.54355i 0.838476 + 0.544939i \(0.183447\pi\)
0.0526935 + 0.998611i \(0.483219\pi\)
\(24\) −1.46258 0.927823i −0.298548 0.189391i
\(25\) 4.94505 0.739220i 0.989011 0.147844i
\(26\) 6.31309i 1.23810i
\(27\) −5.15552 0.648538i −0.992181 0.124811i
\(28\) −3.00853 + 1.73697i −0.568558 + 0.328257i
\(29\) 4.44343 + 7.69625i 0.825125 + 1.42916i 0.901824 + 0.432104i \(0.142229\pi\)
−0.0766985 + 0.997054i \(0.524438\pi\)
\(30\) 3.28944 2.04440i 0.600567 0.373254i
\(31\) 2.00425i 0.359974i −0.983669 0.179987i \(-0.942394\pi\)
0.983669 0.179987i \(-0.0576056\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) 1.27508 + 0.808874i 0.221962 + 0.140807i
\(34\) −2.59556 + 1.49855i −0.445135 + 0.256999i
\(35\) −0.575809 7.74661i −0.0973295 1.30942i
\(36\) 1.71128 2.46405i 0.285213 0.410675i
\(37\) −4.94132 −0.812348 −0.406174 0.913796i \(-0.633137\pi\)
−0.406174 + 0.913796i \(0.633137\pi\)
\(38\) −3.77748 + 2.17501i −0.612787 + 0.352834i
\(39\) 10.9251 + 0.455977i 1.74941 + 0.0730147i
\(40\) 0.165751 + 2.22992i 0.0262075 + 0.352581i
\(41\) −0.105045 + 0.181944i −0.0164053 + 0.0284149i −0.874112 0.485725i \(-0.838556\pi\)
0.857706 + 0.514140i \(0.171889\pi\)
\(42\) −2.78861 5.33184i −0.430292 0.822721i
\(43\) −1.37404 0.793300i −0.209538 0.120977i 0.391558 0.920153i \(-0.371936\pi\)
−0.601097 + 0.799176i \(0.705269\pi\)
\(44\) −0.754999 + 0.435899i −0.113820 + 0.0657143i
\(45\) 3.30033 + 5.84019i 0.491985 + 0.870604i
\(46\) 8.54779i 1.26030i
\(47\) −0.872714 1.51159i −0.127298 0.220487i 0.795331 0.606176i \(-0.207297\pi\)
−0.922629 + 0.385689i \(0.873964\pi\)
\(48\) 0.802721 + 1.53481i 0.115863 + 0.221531i
\(49\) −5.06830 −0.724043
\(50\) −4.65215 1.83234i −0.657914 0.259132i
\(51\) −2.40583 4.59997i −0.336884 0.644124i
\(52\) −3.15654 + 5.46729i −0.437734 + 0.758177i
\(53\) −0.569365 + 0.328723i −0.0782082 + 0.0451535i −0.538594 0.842565i \(-0.681044\pi\)
0.460386 + 0.887719i \(0.347711\pi\)
\(54\) 4.14054 + 3.13941i 0.563457 + 0.427220i
\(55\) −0.144501 1.94404i −0.0194845 0.262134i
\(56\) 3.47395 0.464226
\(57\) −3.49112 6.69418i −0.462410 0.886666i
\(58\) 8.88687i 1.16690i
\(59\) 2.18147 3.77842i 0.284004 0.491909i −0.688363 0.725366i \(-0.741671\pi\)
0.972367 + 0.233457i \(0.0750039\pi\)
\(60\) −3.87094 + 0.125778i −0.499736 + 0.0162379i
\(61\) −0.485137 0.840282i −0.0621154 0.107587i 0.833295 0.552828i \(-0.186451\pi\)
−0.895411 + 0.445241i \(0.853118\pi\)
\(62\) −1.00213 + 1.73573i −0.127270 + 0.220438i
\(63\) 9.42841 4.44071i 1.18787 0.559477i
\(64\) −1.00000 −0.125000
\(65\) −7.94503 11.6684i −0.985460 1.44729i
\(66\) −0.699811 1.33804i −0.0861408 0.164702i
\(67\) 4.83674 + 8.37747i 0.590901 + 1.02347i 0.994111 + 0.108364i \(0.0345611\pi\)
−0.403210 + 0.915108i \(0.632106\pi\)
\(68\) 2.99709 0.363451
\(69\) 14.7923 + 0.617383i 1.78079 + 0.0743242i
\(70\) −3.37464 + 6.99667i −0.403347 + 0.836261i
\(71\) −4.33372 + 7.50622i −0.514318 + 0.890824i 0.485544 + 0.874212i \(0.338621\pi\)
−0.999862 + 0.0166124i \(0.994712\pi\)
\(72\) −2.71403 + 1.27829i −0.319852 + 0.150648i
\(73\) 4.86967 + 2.81151i 0.569952 + 0.329062i 0.757130 0.653264i \(-0.226601\pi\)
−0.187178 + 0.982326i \(0.559934\pi\)
\(74\) 4.27931 + 2.47066i 0.497459 + 0.287208i
\(75\) 3.50696 7.91841i 0.404949 0.914339i
\(76\) 4.35890 + 0.00512138i 0.500000 + 0.000587463i
\(77\) −3.02858 −0.345139
\(78\) −9.23340 5.85742i −1.04548 0.663223i
\(79\) 1.31199 + 0.757479i 0.147611 + 0.0852230i 0.571986 0.820263i \(-0.306173\pi\)
−0.424376 + 0.905486i \(0.639506\pi\)
\(80\) 0.971414 2.01404i 0.108607 0.225176i
\(81\) −5.73195 + 6.93864i −0.636883 + 0.770960i
\(82\) 0.181944 0.105045i 0.0200923 0.0116003i
\(83\) 11.8477 1.30045 0.650225 0.759742i \(-0.274675\pi\)
0.650225 + 0.759742i \(0.274675\pi\)
\(84\) −0.250914 + 6.01182i −0.0273769 + 0.655943i
\(85\) −2.91142 + 6.03626i −0.315788 + 0.654725i
\(86\) 0.793300 + 1.37404i 0.0855437 + 0.148166i
\(87\) 15.3791 + 0.641874i 1.64881 + 0.0688161i
\(88\) 0.871798 0.0929340
\(89\) −1.69946 2.94355i −0.180142 0.312015i 0.761787 0.647828i \(-0.224322\pi\)
−0.941929 + 0.335813i \(0.890989\pi\)
\(90\) 0.0619225 6.70792i 0.00652721 0.707077i
\(91\) −18.9931 + 10.9657i −1.99102 + 1.14951i
\(92\) −4.27390 + 7.40261i −0.445585 + 0.771775i
\(93\) −2.93138 1.85959i −0.303970 0.192830i
\(94\) 1.74543i 0.180027i
\(95\) −4.24461 + 8.77401i −0.435487 + 0.900195i
\(96\) 0.0722272 1.73054i 0.00737166 0.176623i
\(97\) −5.86425 + 10.1572i −0.595425 + 1.03131i 0.398062 + 0.917358i \(0.369683\pi\)
−0.993487 + 0.113947i \(0.963651\pi\)
\(98\) 4.38928 + 2.53415i 0.443384 + 0.255988i
\(99\) 2.36609 1.11441i 0.237801 0.112003i
\(100\) 3.11271 + 3.91293i 0.311271 + 0.391293i
\(101\) 8.71934 5.03411i 0.867607 0.500913i 0.00105449 0.999999i \(-0.499664\pi\)
0.866552 + 0.499087i \(0.166331\pi\)
\(102\) −0.216472 + 5.18660i −0.0214339 + 0.513550i
\(103\) −5.37885 −0.529994 −0.264997 0.964249i \(-0.585371\pi\)
−0.264997 + 0.964249i \(0.585371\pi\)
\(104\) 5.46729 3.15654i 0.536112 0.309525i
\(105\) −11.8643 6.34531i −1.15784 0.619239i
\(106\) 0.657446 0.0638568
\(107\) 19.3918i 1.87468i 0.348416 + 0.937340i \(0.386720\pi\)
−0.348416 + 0.937340i \(0.613280\pi\)
\(108\) −2.01611 4.78908i −0.194000 0.460830i
\(109\) −12.1575 7.01914i −1.16448 0.672311i −0.212104 0.977247i \(-0.568032\pi\)
−0.952373 + 0.304936i \(0.901365\pi\)
\(110\) −0.846877 + 1.75584i −0.0807465 + 0.167412i
\(111\) −4.58467 + 7.22708i −0.435157 + 0.685964i
\(112\) −3.00853 1.73697i −0.284279 0.164129i
\(113\) 15.5078i 1.45885i −0.684061 0.729425i \(-0.739788\pi\)
0.684061 0.729425i \(-0.260212\pi\)
\(114\) −0.323694 + 7.54289i −0.0303167 + 0.706457i
\(115\) −10.7574 15.7988i −1.00313 1.47324i
\(116\) −4.44343 + 7.69625i −0.412563 + 0.714579i
\(117\) 10.8034 15.5557i 0.998778 1.43813i
\(118\) −3.77842 + 2.18147i −0.347832 + 0.200821i
\(119\) 9.01683 + 5.20587i 0.826572 + 0.477221i
\(120\) 3.41522 + 1.82654i 0.311766 + 0.166740i
\(121\) 10.2400 0.930906
\(122\) 0.970274i 0.0878445i
\(123\) 0.168644 + 0.322449i 0.0152061 + 0.0290742i
\(124\) 1.73573 1.00213i 0.155873 0.0899935i
\(125\) −10.9045 + 2.46805i −0.975331 + 0.220749i
\(126\) −10.3856 0.868434i −0.925222 0.0773662i
\(127\) −9.22692 15.9815i −0.818757 1.41813i −0.906598 0.421994i \(-0.861330\pi\)
0.0878413 0.996134i \(-0.472003\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) −2.43513 + 1.27360i −0.214401 + 0.112134i
\(130\) 1.04640 + 14.0777i 0.0917752 + 1.23469i
\(131\) −6.82881 3.94262i −0.596636 0.344468i 0.171081 0.985257i \(-0.445274\pi\)
−0.767717 + 0.640789i \(0.778607\pi\)
\(132\) −0.0629676 + 1.50869i −0.00548062 + 0.131314i
\(133\) 13.1050 + 7.58669i 1.13634 + 0.657850i
\(134\) 9.67347i 0.835661i
\(135\) 11.6039 + 0.591654i 0.998703 + 0.0509215i
\(136\) −2.59556 1.49855i −0.222567 0.128499i
\(137\) −5.70966 9.88943i −0.487810 0.844911i 0.512092 0.858931i \(-0.328871\pi\)
−0.999902 + 0.0140195i \(0.995537\pi\)
\(138\) −12.5018 7.93084i −1.06423 0.675118i
\(139\) 4.82042 + 8.34921i 0.408862 + 0.708171i 0.994763 0.102213i \(-0.0325922\pi\)
−0.585900 + 0.810383i \(0.699259\pi\)
\(140\) 6.42086 4.37197i 0.542661 0.369499i
\(141\) −3.02054 0.126067i −0.254375 0.0106168i
\(142\) 7.50622 4.33372i 0.629908 0.363678i
\(143\) −4.76638 + 2.75187i −0.398584 + 0.230123i
\(144\) 2.98957 + 0.249985i 0.249131 + 0.0208321i
\(145\) −11.1841 16.4255i −0.928793 1.36406i
\(146\) −2.81151 4.86967i −0.232682 0.403017i
\(147\) −4.70249 + 7.41281i −0.387855 + 0.611398i
\(148\) −2.47066 4.27931i −0.203087 0.351757i
\(149\) 2.06968 + 1.19493i 0.169554 + 0.0978923i 0.582376 0.812920i \(-0.302123\pi\)
−0.412821 + 0.910812i \(0.635457\pi\)
\(150\) −6.99632 + 5.10406i −0.571247 + 0.416745i
\(151\) 12.3860i 1.00796i −0.863715 0.503980i \(-0.831868\pi\)
0.863715 0.503980i \(-0.168132\pi\)
\(152\) −3.77235 2.18388i −0.305978 0.177136i
\(153\) −8.96001 0.749228i −0.724374 0.0605715i
\(154\) 2.62283 + 1.51429i 0.211353 + 0.122025i
\(155\) 0.332206 + 4.46931i 0.0266834 + 0.358984i
\(156\) 5.06765 + 9.68938i 0.405737 + 0.775771i
\(157\) −7.79050 4.49785i −0.621749 0.358967i 0.155800 0.987789i \(-0.450204\pi\)
−0.777550 + 0.628821i \(0.783538\pi\)
\(158\) −0.757479 1.31199i −0.0602618 0.104376i
\(159\) −0.0474855 + 1.13774i −0.00376584 + 0.0902285i
\(160\) −1.84829 + 1.25850i −0.146120 + 0.0994934i
\(161\) −25.7163 + 14.8473i −2.02672 + 1.17013i
\(162\) 8.43333 3.14307i 0.662585 0.246943i
\(163\) 11.3308i 0.887493i 0.896152 + 0.443747i \(0.146351\pi\)
−0.896152 + 0.443747i \(0.853649\pi\)
\(164\) −0.210091 −0.0164053
\(165\) −2.97738 1.59238i −0.231789 0.123966i
\(166\) −10.2604 5.92383i −0.796360 0.459778i
\(167\) −17.3880 + 10.0390i −1.34553 + 0.776841i −0.987612 0.156913i \(-0.949846\pi\)
−0.357915 + 0.933754i \(0.616512\pi\)
\(168\) 3.22321 5.08093i 0.248676 0.392002i
\(169\) −13.4275 + 23.2572i −1.03289 + 1.78901i
\(170\) 5.53949 3.77185i 0.424860 0.289288i
\(171\) −13.0299 1.10497i −0.996424 0.0844991i
\(172\) 1.58660i 0.120977i
\(173\) −15.2300 8.79302i −1.15791 0.668521i −0.207109 0.978318i \(-0.566406\pi\)
−0.950803 + 0.309797i \(0.899739\pi\)
\(174\) −12.9978 8.24544i −0.985359 0.625085i
\(175\) 2.56801 + 17.1789i 0.194123 + 1.29860i
\(176\) −0.754999 0.435899i −0.0569102 0.0328571i
\(177\) −3.50223 6.69629i −0.263244 0.503324i
\(178\) 3.39892i 0.254760i
\(179\) 21.9659 1.64181 0.820906 0.571063i \(-0.193469\pi\)
0.820906 + 0.571063i \(0.193469\pi\)
\(180\) −3.40759 + 5.77827i −0.253986 + 0.430687i
\(181\) 4.84812 2.79907i 0.360358 0.208053i −0.308880 0.951101i \(-0.599954\pi\)
0.669238 + 0.743048i \(0.266621\pi\)
\(182\) 21.9313 1.62566
\(183\) −1.67910 0.0700802i −0.124123 0.00518048i
\(184\) 7.40261 4.27390i 0.545727 0.315076i
\(185\) 11.0187 0.819027i 0.810113 0.0602161i
\(186\) 1.60886 + 3.07614i 0.117967 + 0.225554i
\(187\) 2.26280 + 1.30643i 0.165473 + 0.0955357i
\(188\) 0.872714 1.51159i 0.0636492 0.110244i
\(189\) 2.25299 17.9100i 0.163881 1.30276i
\(190\) 8.06294 5.47622i 0.584947 0.397286i
\(191\) 5.23302i 0.378648i 0.981915 + 0.189324i \(0.0606296\pi\)
−0.981915 + 0.189324i \(0.939370\pi\)
\(192\) −0.927823 + 1.46258i −0.0669598 + 0.105553i
\(193\) 5.54090 9.59713i 0.398843 0.690816i −0.594740 0.803918i \(-0.702745\pi\)
0.993583 + 0.113101i \(0.0360785\pi\)
\(194\) 10.1572 5.86425i 0.729243 0.421029i
\(195\) −24.4376 + 0.794049i −1.75001 + 0.0568630i
\(196\) −2.53415 4.38928i −0.181011 0.313520i
\(197\) −13.0072 −0.926722 −0.463361 0.886170i \(-0.653357\pi\)
−0.463361 + 0.886170i \(0.653357\pi\)
\(198\) −2.60630 0.217936i −0.185222 0.0154881i
\(199\) 3.45677 + 5.98730i 0.245044 + 0.424428i 0.962144 0.272542i \(-0.0878643\pi\)
−0.717100 + 0.696970i \(0.754531\pi\)
\(200\) −0.739220 4.94505i −0.0522708 0.349668i
\(201\) 16.7404 + 0.698688i 1.18078 + 0.0492817i
\(202\) −10.0682 −0.708398
\(203\) −26.7364 + 15.4363i −1.87653 + 1.08341i
\(204\) 2.78077 4.38349i 0.194693 0.306906i
\(205\) 0.204085 0.423131i 0.0142539 0.0295527i
\(206\) 4.65822 + 2.68943i 0.324554 + 0.187381i
\(207\) 14.6276 21.0622i 1.01669 1.46392i
\(208\) −6.31309 −0.437734
\(209\) 3.28873 + 1.90391i 0.227486 + 0.131696i
\(210\) 7.10213 + 11.4274i 0.490093 + 0.788562i
\(211\) 1.03715 + 0.598800i 0.0714005 + 0.0412231i 0.535275 0.844678i \(-0.320208\pi\)
−0.463875 + 0.885901i \(0.653541\pi\)
\(212\) −0.569365 0.328723i −0.0391041 0.0225768i
\(213\) 6.95754 + 13.3029i 0.476723 + 0.911497i
\(214\) 9.69592 16.7938i 0.662799 1.14800i
\(215\) 3.19547 + 1.54124i 0.217930 + 0.105112i
\(216\) −0.648538 + 5.15552i −0.0441274 + 0.350789i
\(217\) 6.96266 0.472656
\(218\) 7.01914 + 12.1575i 0.475396 + 0.823410i
\(219\) 8.63025 4.51371i 0.583178 0.305009i
\(220\) 1.61133 1.09716i 0.108636 0.0739705i
\(221\) 18.9209 1.27276
\(222\) 7.58398 3.96650i 0.509003 0.266214i
\(223\) 3.22090 5.57876i 0.215687 0.373582i −0.737798 0.675022i \(-0.764134\pi\)
0.953485 + 0.301440i \(0.0974675\pi\)
\(224\) 1.73697 + 3.00853i 0.116056 + 0.201016i
\(225\) −8.32748 12.4761i −0.555165 0.831740i
\(226\) −7.75390 + 13.4301i −0.515781 + 0.893360i
\(227\) 14.4546i 0.959383i 0.877437 + 0.479691i \(0.159251\pi\)
−0.877437 + 0.479691i \(0.840749\pi\)
\(228\) 4.05177 6.37049i 0.268335 0.421896i
\(229\) −6.01564 −0.397525 −0.198762 0.980048i \(-0.563692\pi\)
−0.198762 + 0.980048i \(0.563692\pi\)
\(230\) 1.41680 + 19.0609i 0.0934212 + 1.25684i
\(231\) −2.80999 + 4.42955i −0.184883 + 0.291443i
\(232\) 7.69625 4.44343i 0.505284 0.291726i
\(233\) 12.1556 21.0541i 0.796341 1.37930i −0.125644 0.992075i \(-0.540100\pi\)
0.921984 0.387227i \(-0.126567\pi\)
\(234\) −17.1339 + 8.06996i −1.12008 + 0.527549i
\(235\) 2.19663 + 3.22606i 0.143292 + 0.210445i
\(236\) 4.36295 0.284004
\(237\) 2.32517 1.21609i 0.151036 0.0789935i
\(238\) −5.20587 9.01683i −0.337447 0.584475i
\(239\) 7.14845i 0.462395i −0.972907 0.231197i \(-0.925736\pi\)
0.972907 0.231197i \(-0.0742643\pi\)
\(240\) −2.04440 3.28944i −0.131965 0.212333i
\(241\) 15.1353 8.73838i 0.974951 0.562888i 0.0742092 0.997243i \(-0.476357\pi\)
0.900742 + 0.434354i \(0.143023\pi\)
\(242\) −8.86807 5.11998i −0.570061 0.329125i
\(243\) 4.83010 + 14.8213i 0.309851 + 0.950785i
\(244\) 0.485137 0.840282i 0.0310577 0.0537935i
\(245\) 11.3019 0.840075i 0.722052 0.0536704i
\(246\) 0.0151743 0.363571i 0.000967476 0.0231804i
\(247\) 27.5181 + 0.0323317i 1.75093 + 0.00205722i
\(248\) −2.00425 −0.127270
\(249\) 10.9925 17.3282i 0.696623 1.09813i
\(250\) 10.6776 + 3.31487i 0.675312 + 0.209651i
\(251\) −11.0941 + 6.40520i −0.700255 + 0.404293i −0.807442 0.589946i \(-0.799149\pi\)
0.107187 + 0.994239i \(0.465816\pi\)
\(252\) 8.55997 + 5.94488i 0.539228 + 0.374492i
\(253\) −6.45358 + 3.72598i −0.405733 + 0.234250i
\(254\) 18.4538i 1.15790i
\(255\) 6.12725 + 9.85877i 0.383703 + 0.617380i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 25.3528 14.6375i 1.58147 0.913060i 0.586820 0.809717i \(-0.300380\pi\)
0.994646 0.103343i \(-0.0329538\pi\)
\(258\) 2.74568 + 0.114596i 0.170939 + 0.00713441i
\(259\) 17.1659i 1.06664i
\(260\) 6.13262 12.7148i 0.380329 0.788539i
\(261\) 15.2079 21.8977i 0.941345 1.35543i
\(262\) 3.94262 + 6.82881i 0.243576 + 0.421885i
\(263\) 10.3592 17.9427i 0.638779 1.10640i −0.346922 0.937894i \(-0.612773\pi\)
0.985701 0.168503i \(-0.0538934\pi\)
\(264\) 0.808874 1.27508i 0.0497828 0.0784755i
\(265\) 1.21515 0.827397i 0.0746460 0.0508266i
\(266\) −7.55588 13.1227i −0.463281 0.804607i
\(267\) −5.88198 0.245494i −0.359971 0.0150240i
\(268\) −4.83674 + 8.37747i −0.295451 + 0.511736i
\(269\) 6.17063 10.6879i 0.376230 0.651650i −0.614280 0.789088i \(-0.710554\pi\)
0.990510 + 0.137438i \(0.0438869\pi\)
\(270\) −9.75342 6.31433i −0.593575 0.384278i
\(271\) 10.8656 18.8198i 0.660039 1.14322i −0.320566 0.947226i \(-0.603873\pi\)
0.980605 0.195995i \(-0.0627937\pi\)
\(272\) 1.49855 + 2.59556i 0.0908627 + 0.157379i
\(273\) −1.58404 + 37.9531i −0.0958704 + 2.29703i
\(274\) 11.4193i 0.689867i
\(275\) 0.644451 + 4.31109i 0.0388619 + 0.259968i
\(276\) 6.86150 + 13.1192i 0.413014 + 0.789685i
\(277\) 1.11259i 0.0668489i −0.999441 0.0334245i \(-0.989359\pi\)
0.999441 0.0334245i \(-0.0106413\pi\)
\(278\) 9.64083i 0.578219i
\(279\) −5.43960 + 2.56201i −0.325661 + 0.153384i
\(280\) −7.74661 + 0.575809i −0.462948 + 0.0344112i
\(281\) −11.7563 20.3626i −0.701324 1.21473i −0.968002 0.250943i \(-0.919259\pi\)
0.266677 0.963786i \(-0.414074\pi\)
\(282\) 2.55283 + 1.61945i 0.152019 + 0.0964367i
\(283\) −1.99227 1.15024i −0.118428 0.0683746i 0.439616 0.898186i \(-0.355115\pi\)
−0.558044 + 0.829811i \(0.688448\pi\)
\(284\) −8.66744 −0.514318
\(285\) 8.89447 + 14.3488i 0.526863 + 0.849950i
\(286\) 5.50374 0.325443
\(287\) −0.632063 0.364922i −0.0373095 0.0215407i
\(288\) −2.46405 1.71128i −0.145195 0.100838i
\(289\) 4.00871 + 6.94330i 0.235807 + 0.408429i
\(290\) 1.47300 + 19.8170i 0.0864978 + 1.16369i
\(291\) 9.41472 + 18.0010i 0.551901 + 1.05524i
\(292\) 5.62301i 0.329062i
\(293\) 1.35095i 0.0789231i 0.999221 + 0.0394616i \(0.0125643\pi\)
−0.999221 + 0.0394616i \(0.987436\pi\)
\(294\) 7.77888 4.06844i 0.453673 0.237276i
\(295\) −4.23823 + 8.78715i −0.246759 + 0.511608i
\(296\) 4.94132i 0.287208i
\(297\) 0.565394 4.49457i 0.0328075 0.260802i
\(298\) −1.19493 2.06968i −0.0692203 0.119893i
\(299\) −26.9815 + 46.7333i −1.56038 + 2.70266i
\(300\) 8.61103 0.922086i 0.497158 0.0532367i
\(301\) 2.75588 4.77333i 0.158846 0.275130i
\(302\) −6.19302 + 10.7266i −0.356368 + 0.617248i
\(303\) 0.727200 17.4235i 0.0417765 1.00095i
\(304\) 2.17501 + 3.77748i 0.124746 + 0.216653i
\(305\) 1.22109 + 1.79335i 0.0699195 + 0.102687i
\(306\) 7.38498 + 5.12886i 0.422171 + 0.293197i
\(307\) −5.94232 + 10.2924i −0.339146 + 0.587419i −0.984272 0.176657i \(-0.943472\pi\)
0.645126 + 0.764076i \(0.276805\pi\)
\(308\) −1.51429 2.62283i −0.0862847 0.149449i
\(309\) −4.99062 + 7.86701i −0.283906 + 0.447538i
\(310\) 1.94696 4.03664i 0.110580 0.229266i
\(311\) 22.0565i 1.25071i −0.780340 0.625355i \(-0.784954\pi\)
0.780340 0.625355i \(-0.215046\pi\)
\(312\) 0.455977 10.9251i 0.0258146 0.618511i
\(313\) 9.16982 5.29420i 0.518309 0.299246i −0.217934 0.975964i \(-0.569932\pi\)
0.736242 + 0.676718i \(0.236598\pi\)
\(314\) 4.49785 + 7.79050i 0.253828 + 0.439643i
\(315\) −20.2885 + 11.4652i −1.14313 + 0.645990i
\(316\) 1.51496i 0.0852230i
\(317\) −20.2520 + 11.6925i −1.13746 + 0.656716i −0.945802 0.324745i \(-0.894721\pi\)
−0.191663 + 0.981461i \(0.561388\pi\)
\(318\) 0.609993 0.961568i 0.0342067 0.0539220i
\(319\) −6.70958 + 3.87378i −0.375664 + 0.216890i
\(320\) 2.22992 0.165751i 0.124656 0.00926574i
\(321\) 28.3621 + 17.9922i 1.58302 + 1.00423i
\(322\) 29.6946 1.65481
\(323\) −6.51872 11.3214i −0.362711 0.629942i
\(324\) −8.87502 1.49469i −0.493056 0.0830385i
\(325\) 19.6508 + 24.7027i 1.09003 + 1.37026i
\(326\) 5.66538 9.81272i 0.313776 0.543476i
\(327\) −21.5461 + 11.2688i −1.19150 + 0.623167i
\(328\) 0.181944 + 0.105045i 0.0100462 + 0.00580016i
\(329\) 5.25117 3.03176i 0.289506 0.167146i
\(330\) 1.78230 + 2.86773i 0.0981125 + 0.157863i
\(331\) 19.4619i 1.06972i 0.844940 + 0.534861i \(0.179636\pi\)
−0.844940 + 0.534861i \(0.820364\pi\)
\(332\) 5.92383 + 10.2604i 0.325112 + 0.563111i
\(333\) 6.31644 + 13.4109i 0.346139 + 0.734913i
\(334\) 20.0780 1.09862
\(335\) −12.1741 17.8794i −0.665142 0.976855i
\(336\) −5.33184 + 2.78861i −0.290876 + 0.152131i
\(337\) 12.5202 21.6856i 0.682017 1.18129i −0.292347 0.956312i \(-0.594436\pi\)
0.974364 0.224976i \(-0.0722305\pi\)
\(338\) 23.2572 13.4275i 1.26502 0.730361i
\(339\) −22.6814 14.3885i −1.23189 0.781475i
\(340\) −6.68327 + 0.496770i −0.362451 + 0.0269412i
\(341\) 1.74730 0.0946218
\(342\) 10.7318 + 7.47190i 0.580307 + 0.404034i
\(343\) 6.71061i 0.362339i
\(344\) −0.793300 + 1.37404i −0.0427719 + 0.0740830i
\(345\) −33.0880 + 1.07513i −1.78140 + 0.0578828i
\(346\) 8.79302 + 15.2300i 0.472716 + 0.818768i
\(347\) −3.20991 + 5.55973i −0.172317 + 0.298462i −0.939230 0.343290i \(-0.888459\pi\)
0.766912 + 0.641752i \(0.221792\pi\)
\(348\) 7.13368 + 13.6396i 0.382405 + 0.731162i
\(349\) 30.0209 1.60698 0.803492 0.595316i \(-0.202973\pi\)
0.803492 + 0.595316i \(0.202973\pi\)
\(350\) 6.36546 16.1613i 0.340248 0.863859i
\(351\) −12.7279 30.2339i −0.679364 1.61377i
\(352\) 0.435899 + 0.754999i 0.0232335 + 0.0402416i
\(353\) −5.21358 −0.277491 −0.138746 0.990328i \(-0.544307\pi\)
−0.138746 + 0.990328i \(0.544307\pi\)
\(354\) −0.315124 + 7.55027i −0.0167486 + 0.401293i
\(355\) 8.41967 17.4566i 0.446870 0.926498i
\(356\) 1.69946 2.94355i 0.0900711 0.156008i
\(357\) 15.9800 8.35773i 0.845753 0.442338i
\(358\) −19.0231 10.9830i −1.00540 0.580468i
\(359\) −11.4443 6.60735i −0.604005 0.348723i 0.166610 0.986023i \(-0.446718\pi\)
−0.770616 + 0.637300i \(0.780051\pi\)
\(360\) 5.84019 3.30033i 0.307805 0.173943i
\(361\) −9.46131 16.4768i −0.497964 0.867198i
\(362\) −5.59813 −0.294231
\(363\) 9.50087 14.9768i 0.498667 0.786078i
\(364\) −18.9931 10.9657i −0.995508 0.574757i
\(365\) −11.3250 5.46227i −0.592776 0.285908i
\(366\) 1.41910 + 0.900242i 0.0741778 + 0.0470564i
\(367\) 1.93371 1.11643i 0.100939 0.0582771i −0.448681 0.893692i \(-0.648106\pi\)
0.549620 + 0.835415i \(0.314773\pi\)
\(368\) −8.54779 −0.445585
\(369\) 0.628080 + 0.0525195i 0.0326965 + 0.00273405i
\(370\) −9.95201 4.80007i −0.517380 0.249544i
\(371\) −1.14197 1.97794i −0.0592879 0.102690i
\(372\) 0.144762 3.46845i 0.00750554 0.179831i
\(373\) 9.21274 0.477017 0.238509 0.971140i \(-0.423341\pi\)
0.238509 + 0.971140i \(0.423341\pi\)
\(374\) −1.30643 2.26280i −0.0675539 0.117007i
\(375\) −6.50775 + 18.2387i −0.336059 + 0.941841i
\(376\) −1.51159 + 0.872714i −0.0779541 + 0.0450068i
\(377\) −28.0518 + 48.5871i −1.44474 + 2.50236i
\(378\) −10.9061 + 14.3840i −0.560952 + 0.739834i
\(379\) 33.3061i 1.71082i −0.517951 0.855410i \(-0.673305\pi\)
0.517951 0.855410i \(-0.326695\pi\)
\(380\) −9.72082 + 0.711070i −0.498668 + 0.0364771i
\(381\) −31.9352 1.33287i −1.63609 0.0682850i
\(382\) 2.61651 4.53193i 0.133872 0.231874i
\(383\) 20.1136 + 11.6126i 1.02776 + 0.593375i 0.916341 0.400398i \(-0.131128\pi\)
0.111415 + 0.993774i \(0.464462\pi\)
\(384\) 1.53481 0.802721i 0.0783229 0.0409637i
\(385\) 6.75348 0.501989i 0.344189 0.0255837i
\(386\) −9.59713 + 5.54090i −0.488481 + 0.282025i
\(387\) −0.396626 + 4.74324i −0.0201616 + 0.241113i
\(388\) −11.7285 −0.595425
\(389\) 5.01105 2.89313i 0.254070 0.146688i −0.367556 0.930001i \(-0.619805\pi\)
0.621627 + 0.783314i \(0.286472\pi\)
\(390\) 21.5606 + 11.5311i 1.09176 + 0.583901i
\(391\) 25.6185 1.29559
\(392\) 5.06830i 0.255988i
\(393\) −12.1023 + 6.32965i −0.610482 + 0.319288i
\(394\) 11.2645 + 6.50358i 0.567499 + 0.327646i
\(395\) −3.05118 1.47165i −0.153522 0.0740468i
\(396\) 2.14815 + 1.49189i 0.107949 + 0.0749702i
\(397\) −23.7238 13.6969i −1.19066 0.687429i −0.232205 0.972667i \(-0.574594\pi\)
−0.958457 + 0.285238i \(0.907927\pi\)
\(398\) 6.91354i 0.346544i
\(399\) 23.2552 12.1280i 1.16422 0.607157i
\(400\) −1.83234 + 4.65215i −0.0916172 + 0.232608i
\(401\) 8.70240 15.0730i 0.434577 0.752709i −0.562684 0.826672i \(-0.690231\pi\)
0.997261 + 0.0739626i \(0.0235646\pi\)
\(402\) −14.1482 8.97527i −0.705650 0.447646i
\(403\) 10.9578 6.32651i 0.545848 0.315146i
\(404\) 8.71934 + 5.03411i 0.433803 + 0.250456i
\(405\) 11.6317 16.4227i 0.577983 0.816049i
\(406\) 30.8725 1.53218
\(407\) 4.30783i 0.213531i
\(408\) −4.59997 + 2.40583i −0.227732 + 0.119106i
\(409\) 7.67831 4.43307i 0.379668 0.219201i −0.298006 0.954564i \(-0.596322\pi\)
0.677674 + 0.735363i \(0.262988\pi\)
\(410\) −0.388308 + 0.264400i −0.0191772 + 0.0130578i
\(411\) −19.7617 0.824787i −0.974771 0.0406837i
\(412\) −2.68943 4.65822i −0.132498 0.229494i
\(413\) 13.1260 + 7.57832i 0.645890 + 0.372905i
\(414\) −23.1990 + 10.9266i −1.14017 + 0.537011i
\(415\) −26.4193 + 1.96376i −1.29687 + 0.0963971i
\(416\) 5.46729 + 3.15654i 0.268056 + 0.154762i
\(417\) 16.6839 + 0.696331i 0.817014 + 0.0340995i
\(418\) −1.89617 3.29320i −0.0927448 0.161076i
\(419\) 31.2236i 1.52537i −0.646770 0.762685i \(-0.723881\pi\)
0.646770 0.762685i \(-0.276119\pi\)
\(420\) −0.436947 13.4474i −0.0213208 0.656168i
\(421\) −11.0882 6.40175i −0.540404 0.312002i 0.204839 0.978796i \(-0.434333\pi\)
−0.745243 + 0.666793i \(0.767666\pi\)
\(422\) −0.598800 1.03715i −0.0291492 0.0504878i
\(423\) −2.98691 + 4.30082i −0.145229 + 0.209113i
\(424\) 0.328723 + 0.569365i 0.0159642 + 0.0276508i
\(425\) 5.49170 13.9429i 0.266387 0.676332i
\(426\) 0.626025 14.9994i 0.0303310 0.726722i
\(427\) 2.91909 1.68534i 0.141265 0.0815593i
\(428\) −16.7938 + 9.69592i −0.811760 + 0.468670i
\(429\) −0.397520 + 9.52446i −0.0191924 + 0.459845i
\(430\) −1.99674 2.93249i −0.0962913 0.141417i
\(431\) 11.2862 + 19.5482i 0.543636 + 0.941606i 0.998691 + 0.0511426i \(0.0162863\pi\)
−0.455055 + 0.890463i \(0.650380\pi\)
\(432\) 3.13941 4.14054i 0.151045 0.199212i
\(433\) −13.4093 23.2256i −0.644411 1.11615i −0.984437 0.175737i \(-0.943769\pi\)
0.340026 0.940416i \(-0.389564\pi\)
\(434\) −6.02984 3.48133i −0.289442 0.167109i
\(435\) −34.4005 + 1.11777i −1.64938 + 0.0535932i
\(436\) 14.0383i 0.672311i
\(437\) 37.2589 + 0.0437765i 1.78234 + 0.00209412i
\(438\) −9.73087 0.406135i −0.464959 0.0194059i
\(439\) 16.6328 + 9.60297i 0.793842 + 0.458325i 0.841313 0.540548i \(-0.181783\pi\)
−0.0474716 + 0.998873i \(0.515116\pi\)
\(440\) −1.94404 + 0.144501i −0.0926783 + 0.00688882i
\(441\) 6.47876 + 13.7555i 0.308513 + 0.655026i
\(442\) −16.3860 9.46046i −0.779402 0.449988i
\(443\) 12.9334 + 22.4013i 0.614483 + 1.06432i 0.990475 + 0.137693i \(0.0439686\pi\)
−0.375992 + 0.926623i \(0.622698\pi\)
\(444\) −8.55117 0.356898i −0.405821 0.0169376i
\(445\) 4.27754 + 6.28218i 0.202775 + 0.297804i
\(446\) −5.57876 + 3.22090i −0.264162 + 0.152514i
\(447\) 3.66797 1.91839i 0.173489 0.0907366i
\(448\) 3.47395i 0.164129i
\(449\) −25.7314 −1.21434 −0.607169 0.794573i \(-0.707695\pi\)
−0.607169 + 0.794573i \(0.707695\pi\)
\(450\) 0.973760 + 14.9684i 0.0459035 + 0.705615i
\(451\) −0.158618 0.0915783i −0.00746904 0.00431226i
\(452\) 13.4301 7.75390i 0.631701 0.364713i
\(453\) −18.1156 11.4920i −0.851144 0.539943i
\(454\) 7.22728 12.5180i 0.339193 0.587500i
\(455\) 40.5354 27.6006i 1.90033 1.29394i
\(456\) −6.69418 + 3.49112i −0.313484 + 0.163487i
\(457\) 8.61040i 0.402777i −0.979511 0.201389i \(-0.935455\pi\)
0.979511 0.201389i \(-0.0645454\pi\)
\(458\) 5.20970 + 3.00782i 0.243433 + 0.140546i
\(459\) −9.40911 + 12.4096i −0.439180 + 0.579230i
\(460\) 8.30344 17.2156i 0.387150 0.802681i
\(461\) −27.2270 15.7195i −1.26809 0.732132i −0.293463 0.955970i \(-0.594808\pi\)
−0.974626 + 0.223839i \(0.928141\pi\)
\(462\) 4.64829 2.43111i 0.216258 0.113105i
\(463\) 23.6251i 1.09795i 0.835838 + 0.548976i \(0.184982\pi\)
−0.835838 + 0.548976i \(0.815018\pi\)
\(464\) −8.88687 −0.412563
\(465\) 6.84496 + 3.66085i 0.317428 + 0.169768i
\(466\) −21.0541 + 12.1556i −0.975314 + 0.563098i
\(467\) −1.50955 −0.0698538 −0.0349269 0.999390i \(-0.511120\pi\)
−0.0349269 + 0.999390i \(0.511120\pi\)
\(468\) 18.8734 + 1.57818i 0.872423 + 0.0729512i
\(469\) −29.1029 + 16.8026i −1.34385 + 0.775870i
\(470\) −0.289306 3.89216i −0.0133447 0.179532i
\(471\) −13.8067 + 7.22103i −0.636178 + 0.332728i
\(472\) −3.77842 2.18147i −0.173916 0.100410i
\(473\) 0.691597 1.19788i 0.0317997 0.0550787i
\(474\) −2.62170 0.109421i −0.120419 0.00502588i
\(475\) 8.01082 20.2689i 0.367562 0.929999i
\(476\) 10.4117i 0.477221i
\(477\) 1.61998 + 1.12507i 0.0741737 + 0.0515135i
\(478\) −3.57423 + 6.19074i −0.163481 + 0.283158i
\(479\) −2.53529 + 1.46375i −0.115840 + 0.0668805i −0.556801 0.830646i \(-0.687971\pi\)
0.440960 + 0.897527i \(0.354638\pi\)
\(480\) 0.125778 + 3.87094i 0.00574096 + 0.176683i
\(481\) −15.5975 27.0156i −0.711184 1.23181i
\(482\) −17.4768 −0.796044
\(483\) −2.14476 + 51.3878i −0.0975898 + 2.33822i
\(484\) 5.11998 + 8.86807i 0.232727 + 0.403094i
\(485\) 11.3932 23.6217i 0.517340 1.07260i
\(486\) 3.22765 15.2506i 0.146409 0.691783i
\(487\) −9.40209 −0.426049 −0.213025 0.977047i \(-0.568331\pi\)
−0.213025 + 0.977047i \(0.568331\pi\)
\(488\) −0.840282 + 0.485137i −0.0380378 + 0.0219611i
\(489\) 16.5722 + 10.5129i 0.749419 + 0.475411i
\(490\) −10.2078 4.92342i −0.461140 0.222417i
\(491\) 30.6424 + 17.6914i 1.38287 + 0.798401i 0.992499 0.122256i \(-0.0390128\pi\)
0.390373 + 0.920657i \(0.372346\pi\)
\(492\) −0.194927 + 0.307275i −0.00878798 + 0.0138530i
\(493\) 26.6348 1.19957
\(494\) −23.8152 13.7870i −1.07150 0.620308i
\(495\) −5.09147 + 2.87722i −0.228844 + 0.129322i
\(496\) 1.73573 + 1.00213i 0.0779367 + 0.0449968i
\(497\) −26.0762 15.0551i −1.16968 0.675314i
\(498\) −18.1839 + 9.51037i −0.814840 + 0.426170i
\(499\) −13.7066 + 23.7405i −0.613591 + 1.06277i 0.377039 + 0.926197i \(0.376942\pi\)
−0.990630 + 0.136574i \(0.956391\pi\)
\(500\) −7.58965 8.20958i −0.339420 0.367143i
\(501\) −1.45018 + 34.7458i −0.0647891 + 1.55233i
\(502\) 12.8104 0.571756
\(503\) 0.686793 + 1.18956i 0.0306226 + 0.0530399i 0.880931 0.473246i \(-0.156918\pi\)
−0.850308 + 0.526285i \(0.823584\pi\)
\(504\) −4.44071 9.42841i −0.197805 0.419975i
\(505\) −18.6090 + 12.6709i −0.828089 + 0.563847i
\(506\) 7.45195 0.331280
\(507\) 21.5571 + 41.2174i 0.957386 + 1.83053i
\(508\) 9.22692 15.9815i 0.409379 0.709064i
\(509\) −3.66590 6.34953i −0.162488 0.281438i 0.773272 0.634074i \(-0.218619\pi\)
−0.935760 + 0.352636i \(0.885285\pi\)
\(510\) −0.376969 11.6016i −0.0166925 0.513726i
\(511\) −9.76702 + 16.9170i −0.432068 + 0.748363i
\(512\) 1.00000i 0.0441942i
\(513\) −13.7056 + 18.0321i −0.605116 + 0.796138i
\(514\) −29.2749 −1.29126
\(515\) 11.9944 0.891548i 0.528536 0.0392863i
\(516\) −2.32053 1.47208i −0.102156 0.0648048i
\(517\) 1.31780 0.760831i 0.0579567 0.0334613i
\(518\) −8.58294 + 14.8661i −0.377113 + 0.653178i
\(519\) −26.9912 + 14.1167i −1.18478 + 0.619654i
\(520\) −11.6684 + 7.94503i −0.511694 + 0.348413i
\(521\) −3.56001 −0.155967 −0.0779834 0.996955i \(-0.524848\pi\)
−0.0779834 + 0.996955i \(0.524848\pi\)
\(522\) −24.1193 + 11.3600i −1.05567 + 0.497214i
\(523\) −2.42658 4.20296i −0.106107 0.183783i 0.808083 0.589069i \(-0.200505\pi\)
−0.914190 + 0.405286i \(0.867172\pi\)
\(524\) 7.88523i 0.344468i
\(525\) 27.5081 + 12.1830i 1.20055 + 0.531710i
\(526\) −17.9427 + 10.3592i −0.782341 + 0.451685i
\(527\) −5.20215 3.00346i −0.226609 0.130833i
\(528\) −1.33804 + 0.699811i −0.0582309 + 0.0304554i
\(529\) −25.0324 + 43.3574i −1.08836 + 1.88510i
\(530\) −1.46605 + 0.108972i −0.0636811 + 0.00473344i
\(531\) −13.0433 1.09067i −0.566032 0.0473311i
\(532\) −0.0177914 + 15.1426i −0.000771356 + 0.656514i
\(533\) −1.32632 −0.0574493
\(534\) 4.97119 + 3.15359i 0.215125 + 0.136469i
\(535\) −3.21421 43.2422i −0.138962 1.86952i
\(536\) 8.37747 4.83674i 0.361852 0.208915i
\(537\) 20.3805 32.1270i 0.879484 1.38638i
\(538\) −10.6879 + 6.17063i −0.460786 + 0.266035i
\(539\) 4.41854i 0.190320i
\(540\) 5.28955 + 10.3451i 0.227626 + 0.445181i
\(541\) 0.532708 + 0.922677i 0.0229029 + 0.0396690i 0.877250 0.480034i \(-0.159376\pi\)
−0.854347 + 0.519703i \(0.826042\pi\)
\(542\) −18.8198 + 10.8656i −0.808380 + 0.466718i
\(543\) 0.404338 9.68782i 0.0173518 0.415744i
\(544\) 2.99709i 0.128499i
\(545\) 28.2736 + 13.6370i 1.21111 + 0.584144i
\(546\) 20.3484 32.0764i 0.870830 1.37274i
\(547\) −11.2093 19.4150i −0.479274 0.830126i 0.520444 0.853896i \(-0.325767\pi\)
−0.999717 + 0.0237697i \(0.992433\pi\)
\(548\) 5.70966 9.88943i 0.243905 0.422455i
\(549\) −1.66041 + 2.39080i −0.0708644 + 0.102037i
\(550\) 1.59743 4.05574i 0.0681148 0.172937i
\(551\) 38.7369 + 0.0455131i 1.65025 + 0.00193892i
\(552\) 0.617383 14.7923i 0.0262776 0.629604i
\(553\) −2.63144 + 4.55779i −0.111900 + 0.193817i
\(554\) −0.556294 + 0.963529i −0.0236347 + 0.0409364i
\(555\) 9.02553 16.8757i 0.383112 0.716334i
\(556\) −4.82042 + 8.34921i −0.204431 + 0.354085i
\(557\) −14.7618 25.5681i −0.625476 1.08336i −0.988449 0.151557i \(-0.951571\pi\)
0.362972 0.931800i \(-0.381762\pi\)
\(558\) 5.99184 + 0.501032i 0.253655 + 0.0212104i
\(559\) 10.0163i 0.423646i
\(560\) 6.99667 + 3.37464i 0.295663 + 0.142605i
\(561\) 4.01024 2.09740i 0.169313 0.0885523i
\(562\) 23.5127i 0.991822i
\(563\) 17.2920i 0.728771i −0.931248 0.364385i \(-0.881279\pi\)
0.931248 0.364385i \(-0.118721\pi\)
\(564\) −1.40109 2.67890i −0.0589966 0.112802i
\(565\) 2.57043 + 34.5811i 0.108139 + 1.45484i
\(566\) 1.15024 + 1.99227i 0.0483482 + 0.0837415i
\(567\) −24.1045 19.9125i −1.01229 0.836246i
\(568\) 7.50622 + 4.33372i 0.314954 + 0.181839i
\(569\) −30.6358 −1.28432 −0.642160 0.766570i \(-0.721962\pi\)
−0.642160 + 0.766570i \(0.721962\pi\)
\(570\) −0.528430 16.8737i −0.0221335 0.706760i
\(571\) 7.29787 0.305406 0.152703 0.988272i \(-0.451202\pi\)
0.152703 + 0.988272i \(0.451202\pi\)
\(572\) −4.76638 2.75187i −0.199292 0.115061i
\(573\) 7.65372 + 4.85531i 0.319739 + 0.202834i
\(574\) 0.364922 + 0.632063i 0.0152315 + 0.0263818i
\(575\) 26.6068 + 33.4469i 1.10958 + 1.39483i
\(576\) 1.27829 + 2.71403i 0.0532621 + 0.113085i
\(577\) 31.2258i 1.29995i −0.759956 0.649974i \(-0.774780\pi\)
0.759956 0.649974i \(-0.225220\pi\)
\(578\) 8.01743i 0.333481i
\(579\) −8.89561 17.0085i −0.369689 0.706847i
\(580\) 8.63283 17.8985i 0.358459 0.743195i
\(581\) 41.1581i 1.70753i
\(582\) 0.847117 20.2967i 0.0351141 0.841325i
\(583\) −0.286580 0.496371i −0.0118689 0.0205576i
\(584\) 2.81151 4.86967i 0.116341 0.201508i
\(585\) −21.5124 + 36.4787i −0.889428 + 1.50821i
\(586\) 0.675473 1.16995i 0.0279035 0.0483304i
\(587\) 5.61095 9.71846i 0.231589 0.401124i −0.726687 0.686969i \(-0.758941\pi\)
0.958276 + 0.285845i \(0.0922743\pi\)
\(588\) −8.77092 0.366070i −0.361707 0.0150965i
\(589\) −7.56075 4.37705i −0.311535 0.180353i
\(590\) 8.06399 5.49078i 0.331989 0.226052i
\(591\) −12.0683 + 19.0240i −0.496425 + 0.782544i
\(592\) 2.47066 4.27931i 0.101543 0.175878i
\(593\) 11.1109 + 19.2446i 0.456270 + 0.790282i 0.998760 0.0497798i \(-0.0158520\pi\)
−0.542491 + 0.840062i \(0.682519\pi\)
\(594\) −2.73693 + 3.60972i −0.112298 + 0.148109i
\(595\) −20.9697 10.1141i −0.859672 0.414638i
\(596\) 2.38986i 0.0978923i
\(597\) 11.9642 + 0.499346i 0.489661 + 0.0204369i
\(598\) 46.7333 26.9815i 1.91107 1.10335i
\(599\) 3.87293 + 6.70811i 0.158244 + 0.274086i 0.934235 0.356657i \(-0.116084\pi\)
−0.775992 + 0.630743i \(0.782750\pi\)
\(600\) −7.91841 3.50696i −0.323268 0.143171i
\(601\) 39.1601i 1.59738i 0.601746 + 0.798688i \(0.294472\pi\)
−0.601746 + 0.798688i \(0.705528\pi\)
\(602\) −4.77333 + 2.75588i −0.194546 + 0.112321i
\(603\) 16.5540 23.8359i 0.674131 0.970673i
\(604\) 10.7266 6.19302i 0.436460 0.251990i
\(605\) −22.8343 + 1.69728i −0.928345 + 0.0690043i
\(606\) −9.34153 + 14.7256i −0.379474 + 0.598187i
\(607\) 14.6050 0.592800 0.296400 0.955064i \(-0.404214\pi\)
0.296400 + 0.955064i \(0.404214\pi\)
\(608\) 0.00512138 4.35890i 0.000207700 0.176777i
\(609\) −2.22984 + 53.4262i −0.0903575 + 2.16494i
\(610\) −0.160824 2.16363i −0.00651156 0.0876028i
\(611\) 5.50952 9.54277i 0.222891 0.386059i
\(612\) −3.83115 8.13421i −0.154865 0.328806i
\(613\) −18.5279 10.6971i −0.748335 0.432051i 0.0767571 0.997050i \(-0.475543\pi\)
−0.825092 + 0.564999i \(0.808877\pi\)
\(614\) 10.2924 5.94232i 0.415368 0.239813i
\(615\) −0.429509 0.691081i −0.0173195 0.0278671i
\(616\) 3.02858i 0.122025i
\(617\) 7.45803 + 12.9177i 0.300249 + 0.520047i 0.976192 0.216907i \(-0.0695968\pi\)
−0.675943 + 0.736954i \(0.736264\pi\)
\(618\) 8.25551 4.31772i 0.332085 0.173684i
\(619\) 5.33770 0.214540 0.107270 0.994230i \(-0.465789\pi\)
0.107270 + 0.994230i \(0.465789\pi\)
\(620\) −3.70444 + 2.52236i −0.148774 + 0.101300i
\(621\) −17.2333 40.9361i −0.691548 1.64271i
\(622\) −11.0283 + 19.1015i −0.442193 + 0.765900i
\(623\) 10.2257 5.90383i 0.409685 0.236532i
\(624\) −5.85742 + 9.23340i −0.234485 + 0.369632i
\(625\) 23.9071 7.31097i 0.956284 0.292439i
\(626\) −10.5884 −0.423197
\(627\) 5.83598 3.04355i 0.233066 0.121548i
\(628\) 8.99569i 0.358967i
\(629\) −7.40480 + 12.8255i −0.295249 + 0.511386i
\(630\) 23.3029 + 0.215116i 0.928412 + 0.00857041i
\(631\) −2.60747 4.51627i −0.103802 0.179790i 0.809446 0.587194i \(-0.199767\pi\)
−0.913248 + 0.407404i \(0.866434\pi\)
\(632\) 0.757479 1.31199i 0.0301309 0.0521882i
\(633\) 1.83809 0.961340i 0.0730575 0.0382098i
\(634\) 23.3850 0.928736
\(635\) 23.2242 + 34.1080i 0.921625 + 1.35354i
\(636\) −1.00905 + 0.527746i −0.0400116 + 0.0209265i
\(637\) −15.9983 27.7099i −0.633877 1.09791i
\(638\) 7.74756 0.306729
\(639\) 25.9119 + 2.16673i 1.02506 + 0.0857144i
\(640\) −2.01404 0.971414i −0.0796119 0.0383985i
\(641\) 6.54091 11.3292i 0.258350 0.447476i −0.707450 0.706764i \(-0.750154\pi\)
0.965800 + 0.259288i \(0.0834878\pi\)
\(642\) −15.5662 29.7628i −0.614351 1.17464i
\(643\) 26.1332 + 15.0880i 1.03059 + 0.595013i 0.917155 0.398532i \(-0.130480\pi\)
0.113439 + 0.993545i \(0.463813\pi\)
\(644\) −25.7163 14.8473i −1.01336 0.585065i
\(645\) 5.21903 3.24364i 0.205499 0.127718i
\(646\) −0.0153493 + 13.0640i −0.000603909 + 0.513997i
\(647\) 32.7661 1.28817 0.644084 0.764955i \(-0.277239\pi\)
0.644084 + 0.764955i \(0.277239\pi\)
\(648\) 6.93864 + 5.73195i 0.272576 + 0.225172i
\(649\) 3.29402 + 1.90181i 0.129302 + 0.0746524i
\(650\) −4.66676 31.2185i −0.183045 1.22449i
\(651\) 6.46012 10.1835i 0.253192 0.399121i
\(652\) −9.81272 + 5.66538i −0.384296 + 0.221873i
\(653\) −0.971091 −0.0380017 −0.0190009 0.999819i \(-0.506049\pi\)
−0.0190009 + 0.999819i \(0.506049\pi\)
\(654\) 24.2938 + 1.01395i 0.949965 + 0.0396484i
\(655\) 15.8812 + 7.65983i 0.620529 + 0.299294i
\(656\) −0.105045 0.181944i −0.00410133 0.00710371i
\(657\) 1.40567 16.8104i 0.0548403 0.655835i
\(658\) −6.06352 −0.236381
\(659\) −17.4932 30.2992i −0.681440 1.18029i −0.974541 0.224208i \(-0.928021\pi\)
0.293101 0.956081i \(-0.405313\pi\)
\(660\) −0.109653 3.37468i −0.00426825 0.131359i
\(661\) −16.6089 + 9.58913i −0.646010 + 0.372974i −0.786926 0.617048i \(-0.788329\pi\)
0.140916 + 0.990022i \(0.454995\pi\)
\(662\) 9.73094 16.8545i 0.378204 0.655068i
\(663\) 17.5553 27.6734i 0.681789 1.07474i
\(664\) 11.8477i 0.459778i
\(665\) −30.4805 14.7455i −1.18198 0.571807i
\(666\) 1.23525 14.7724i 0.0478651 0.572419i
\(667\) −37.9816 + 65.7860i −1.47065 + 2.54724i
\(668\) −17.3880 10.0390i −0.672764 0.388420i
\(669\) −5.17097 9.88693i −0.199921 0.382251i
\(670\) 1.60338 + 21.5710i 0.0619442 + 0.833362i
\(671\) 0.732556 0.422942i 0.0282800 0.0163275i
\(672\) 6.01182 + 0.250914i 0.231911 + 0.00967920i
\(673\) −35.0420 −1.35077 −0.675386 0.737465i \(-0.736023\pi\)
−0.675386 + 0.737465i \(0.736023\pi\)
\(674\) −21.6856 + 12.5202i −0.835297 + 0.482259i
\(675\) −25.9737 + 0.604012i −0.999730 + 0.0232484i
\(676\) −26.8551 −1.03289
\(677\) 7.52942i 0.289379i 0.989477 + 0.144690i \(0.0462184\pi\)
−0.989477 + 0.144690i \(0.953782\pi\)
\(678\) 12.4484 + 23.8015i 0.478079 + 0.914091i
\(679\) −35.2855 20.3721i −1.35413 0.781809i
\(680\) 6.03626 + 2.91142i 0.231480 + 0.111648i
\(681\) 21.1410 + 13.4113i 0.810124 + 0.513921i
\(682\) −1.51321 0.873651i −0.0579438 0.0334538i
\(683\) 13.2527i 0.507102i −0.967322 0.253551i \(-0.918401\pi\)
0.967322 0.253551i \(-0.0815986\pi\)
\(684\) −5.55803 11.8367i −0.212517 0.452589i
\(685\) 14.3713 + 21.1062i 0.549097 + 0.806427i
\(686\) 3.35530 5.81156i 0.128106 0.221886i
\(687\) −5.58145 + 8.79836i −0.212945 + 0.335678i
\(688\) 1.37404 0.793300i 0.0523846 0.0302443i
\(689\) −3.59445 2.07526i −0.136938 0.0790609i
\(690\) 29.1926 + 15.6129i 1.11134 + 0.594373i
\(691\) 36.9407 1.40529 0.702645 0.711541i \(-0.252002\pi\)
0.702645 + 0.711541i \(0.252002\pi\)
\(692\) 17.5860i 0.668521i
\(693\) 3.87140 + 8.21967i 0.147062 + 0.312239i
\(694\) 5.55973 3.20991i 0.211045 0.121847i
\(695\) −12.1330 17.8190i −0.460231 0.675915i
\(696\) 0.641874 15.3791i 0.0243302 0.582944i
\(697\) 0.314831 + 0.545303i 0.0119251 + 0.0206548i
\(698\) −25.9989 15.0105i −0.984073 0.568155i
\(699\) −19.5151 37.3131i −0.738130 1.41131i
\(700\) −13.5933 + 10.8134i −0.513779 + 0.408708i
\(701\) 27.5237 + 15.8908i 1.03956 + 0.600188i 0.919708 0.392604i \(-0.128426\pi\)
0.119849 + 0.992792i \(0.461759\pi\)
\(702\) −4.09428 + 32.5473i −0.154528 + 1.22842i
\(703\) −10.7913 + 18.6404i −0.407000 + 0.703036i
\(704\) 0.871798i 0.0328571i
\(705\) 6.75645 0.219537i 0.254463 0.00826824i
\(706\) 4.51510 + 2.60679i 0.169928 + 0.0981079i
\(707\) 17.4882 + 30.2905i 0.657713 + 1.13919i
\(708\) 4.04804 6.38117i 0.152135 0.239819i
\(709\) −17.8642 30.9418i −0.670906 1.16204i −0.977648 0.210250i \(-0.932572\pi\)
0.306742 0.951793i \(-0.400761\pi\)
\(710\) −16.0199 + 10.9080i −0.601217 + 0.409370i
\(711\) 0.378716 4.52907i 0.0142030 0.169853i
\(712\) −2.94355 + 1.69946i −0.110314 + 0.0636899i
\(713\) 14.8367 8.56596i 0.555638 0.320798i
\(714\) −18.0180 0.752011i −0.674306 0.0281433i
\(715\) 10.1725 6.92647i 0.380430 0.259035i
\(716\) 10.9830 + 19.0231i 0.410453 + 0.710925i
\(717\) −10.4552 6.63250i −0.390456 0.247695i
\(718\) 6.60735 + 11.4443i 0.246584 + 0.427096i
\(719\) 12.7834 + 7.38050i 0.476740 + 0.275246i 0.719057 0.694951i \(-0.244574\pi\)
−0.242317 + 0.970197i \(0.577907\pi\)
\(720\) −6.70792 0.0619225i −0.249989 0.00230772i
\(721\) 18.6858i 0.695897i
\(722\) −0.0446472 + 18.9999i −0.00166160 + 0.707105i
\(723\) 1.26230 30.2443i 0.0469453 1.12480i
\(724\) 4.84812 + 2.79907i 0.180179 + 0.104026i
\(725\) 27.6623 + 34.7737i 1.02735 + 1.29146i
\(726\) −15.7164 + 8.21984i −0.583290 + 0.305067i
\(727\) 31.0352 + 17.9182i 1.15103 + 0.664548i 0.949138 0.314860i \(-0.101958\pi\)
0.201892 + 0.979408i \(0.435291\pi\)
\(728\) 10.9657 + 18.9931i 0.406414 + 0.703931i
\(729\) 26.1588 + 6.68710i 0.968844 + 0.247670i
\(730\) 7.07658 + 10.3930i 0.261916 + 0.384660i
\(731\) −4.11811 + 2.37759i −0.152314 + 0.0879385i
\(732\) −0.778860 1.48918i −0.0287875 0.0550419i
\(733\) 35.8941i 1.32578i 0.748718 + 0.662889i \(0.230670\pi\)
−0.748718 + 0.662889i \(0.769330\pi\)
\(734\) −2.23286 −0.0824163
\(735\) 9.25748 17.3094i 0.341467 0.638466i
\(736\) 7.40261 + 4.27390i 0.272864 + 0.157538i
\(737\) −7.30347 + 4.21666i −0.269027 + 0.155323i
\(738\) −0.517673 0.359523i −0.0190558 0.0132342i
\(739\) −16.9299 + 29.3234i −0.622775 + 1.07868i 0.366191 + 0.930540i \(0.380662\pi\)
−0.988967 + 0.148139i \(0.952672\pi\)
\(740\) 6.21866 + 9.13298i 0.228603 + 0.335735i
\(741\) 25.5792 40.2174i 0.939675 1.47742i
\(742\) 2.28393i 0.0838457i
\(743\) −18.8787 10.8996i −0.692591 0.399868i 0.111991 0.993709i \(-0.464277\pi\)
−0.804582 + 0.593842i \(0.797611\pi\)
\(744\) −1.85959 + 2.93138i −0.0681759 + 0.107470i
\(745\) −4.81326 2.32154i −0.176344 0.0850546i
\(746\) −7.97846 4.60637i −0.292112 0.168651i
\(747\) −15.1447 32.1549i −0.554117 1.17649i
\(748\) 2.61286i 0.0955357i
\(749\) −67.3662 −2.46151
\(750\) 14.7552 12.5413i 0.538784 0.457943i
\(751\) 34.7765 20.0782i 1.26901 0.732665i 0.294212 0.955740i \(-0.404943\pi\)
0.974801 + 0.223075i \(0.0716093\pi\)
\(752\) 1.74543 0.0636492
\(753\) −0.925259 + 22.1690i −0.0337183 + 0.807882i
\(754\) 48.5871 28.0518i 1.76944 1.02159i
\(755\) 2.05299 + 27.6198i 0.0747161 + 1.00519i
\(756\) 16.6370 7.00386i 0.605082 0.254728i
\(757\) 21.9934 + 12.6979i 0.799363 + 0.461513i 0.843248 0.537524i \(-0.180640\pi\)
−0.0438853 + 0.999037i \(0.513974\pi\)
\(758\) −16.6531 + 28.8439i −0.604866 + 1.04766i
\(759\) −0.538234 + 12.8959i −0.0195366 + 0.468093i
\(760\) 8.77401 + 4.24461i 0.318267 + 0.153968i
\(761\) 23.3860i 0.847741i 0.905723 + 0.423871i \(0.139329\pi\)
−0.905723 + 0.423871i \(0.860671\pi\)
\(762\) 26.9903 + 17.1219i 0.977754 + 0.620261i
\(763\) 24.3841 42.2345i 0.882764 1.52899i
\(764\) −4.53193 + 2.61651i −0.163959 + 0.0946620i
\(765\) 20.1043 + 0.185588i 0.726871 + 0.00670993i
\(766\) −11.6126 20.1136i −0.419580 0.726734i
\(767\) 27.5437 0.994544
\(768\) −1.73054 0.0722272i −0.0624456 0.00260628i
\(769\) −8.99469 15.5793i −0.324357 0.561803i 0.657025 0.753869i \(-0.271815\pi\)
−0.981382 + 0.192066i \(0.938481\pi\)
\(770\) −6.09968 2.94201i −0.219817 0.106023i
\(771\) 2.11445 50.6616i 0.0761499 1.82453i
\(772\) 11.0818 0.398843
\(773\) 18.4956 10.6785i 0.665241 0.384077i −0.129030 0.991641i \(-0.541186\pi\)
0.794271 + 0.607564i \(0.207853\pi\)
\(774\) 2.71511 3.90946i 0.0975926 0.140523i
\(775\) −1.48158 9.91113i −0.0532200 0.356018i