Properties

Label 570.2.n.a.179.7
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 179.7
Character \(\chi\) \(=\) 570.179
Dual form 570.2.n.a.449.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(-0.802721 + 1.53481i) q^{3} +(0.500000 + 0.866025i) q^{4} +(0.971414 + 2.01404i) q^{5} +(1.46258 - 0.927823i) q^{6} -3.47395i q^{7} -1.00000i q^{8} +(-1.71128 - 2.46405i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(-0.802721 + 1.53481i) q^{3} +(0.500000 + 0.866025i) q^{4} +(0.971414 + 2.01404i) q^{5} +(1.46258 - 0.927823i) q^{6} -3.47395i q^{7} -1.00000i q^{8} +(-1.71128 - 2.46405i) q^{9} +(0.165751 - 2.22992i) q^{10} -0.871798i q^{11} +(-1.73054 + 0.0722272i) q^{12} +(-3.15654 - 5.46729i) q^{13} +(-1.73697 + 3.00853i) q^{14} +(-3.87094 - 0.125778i) 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} +(5.33184 + 2.78861i) q^{21} +(-0.435899 + 0.754999i) q^{22} +(4.27390 + 7.40261i) q^{23} +(1.53481 + 0.802721i) q^{24} +(-3.11271 + 3.91293i) 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} +(1.33804 + 0.699811i) q^{33} +(-2.59556 + 1.49855i) q^{34} +(6.99667 - 3.37464i) q^{35} +(1.27829 - 2.71403i) q^{36} +4.94132 q^{37} +(-3.77748 + 2.17501i) q^{38} +(10.9251 - 0.455977i) q^{39} +(2.01404 - 0.971414i) q^{40} +(0.105045 - 0.181944i) q^{41} +(-3.22321 - 5.08093i) 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} +(-0.927823 - 1.46258i) q^{48} -5.06830 q^{49} +(4.65215 - 1.83234i) q^{50} +(2.78077 + 4.38349i) q^{51} +(3.15654 - 5.46729i) q^{52} +(-0.569365 + 0.328723i) q^{53} +(-4.78908 - 2.01611i) q^{54} +(1.75584 - 0.846877i) q^{55} -3.47395 q^{56} +(4.03679 + 6.37999i) q^{57} +8.88687i q^{58} +(-2.18147 + 3.77842i) q^{59} +(-1.82654 - 3.41522i) q^{60} +(-0.485137 - 0.840282i) q^{61} +(-1.00213 + 1.73573i) q^{62} +(-8.55997 + 5.94488i) q^{63} -1.00000 q^{64} +(7.94503 - 11.6684i) q^{65} +(-0.808874 - 1.27508i) q^{66} +(-4.83674 - 8.37747i) q^{67} +2.99709 q^{68} +(-14.7923 + 0.617383i) q^{69} +(-7.74661 - 0.575809i) q^{70} +(4.33372 - 7.50622i) q^{71} +(-2.46405 + 1.71128i) 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} +(-9.68938 - 5.06765i) q^{78} +(1.31199 + 0.757479i) q^{79} +(-2.22992 - 0.165751i) q^{80} +(-3.14307 + 8.43333i) q^{81} +(-0.181944 + 0.105045i) q^{82} +11.8477 q^{83} +(0.250914 + 6.01182i) q^{84} +(6.68327 + 0.496770i) q^{85} +(-0.793300 - 1.37404i) q^{86} +(15.3791 - 0.641874i) q^{87} -0.871798 q^{88} +(1.69946 + 2.94355i) q^{89} +(-5.77827 + 3.40759i) q^{90} +(-18.9931 + 10.9657i) q^{91} +(-4.27390 + 7.40261i) q^{92} +(3.07614 + 1.60886i) q^{93} +1.74543i q^{94} +(9.71912 + 0.733910i) q^{95} +(0.0722272 + 1.73054i) q^{96} +(5.86425 - 10.1572i) q^{97} +(4.38928 + 2.53415i) q^{98} +(-2.14815 + 1.49189i) 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
\(3\) −0.802721 + 1.53481i −0.463451 + 0.886122i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) 0.971414 + 2.01404i 0.434429 + 0.900706i
\(6\) 1.46258 0.927823i 0.597096 0.378782i
\(7\) 3.47395i 1.31303i −0.754314 0.656514i \(-0.772030\pi\)
0.754314 0.656514i \(-0.227970\pi\)
\(8\) 1.00000i 0.353553i
\(9\) −1.71128 2.46405i −0.570425 0.821349i
\(10\) 0.165751 2.22992i 0.0524150 0.705161i
\(11\) 0.871798i 0.262857i −0.991326 0.131429i \(-0.958044\pi\)
0.991326 0.131429i \(-0.0419564\pi\)
\(12\) −1.73054 + 0.0722272i −0.499565 + 0.0208502i
\(13\) −3.15654 5.46729i −0.875468 1.51635i −0.856264 0.516539i \(-0.827220\pi\)
−0.0192037 0.999816i \(-0.506113\pi\)
\(14\) −1.73697 + 3.00853i −0.464226 + 0.804062i
\(15\) −3.87094 0.125778i −0.999473 0.0324758i
\(16\) −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
\(21\) 5.33184 + 2.78861i 1.16350 + 0.608525i
\(22\) −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 \(0.483219\pi\)
\(24\) 1.53481 + 0.802721i 0.313292 + 0.163855i
\(25\) −3.11271 + 3.91293i −0.622542 + 0.782586i
\(26\) 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 \(-0.857771\pi\)
0.0766985 0.997054i \(-0.475562\pi\)
\(30\) 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
\(33\) 1.33804 + 0.699811i 0.232924 + 0.121821i
\(34\) −2.59556 + 1.49855i −0.445135 + 0.256999i
\(35\) 6.99667 3.37464i 1.18265 0.570418i
\(36\) 1.27829 2.71403i 0.213048 0.452339i
\(37\) 4.94132 0.812348 0.406174 0.913796i \(-0.366863\pi\)
0.406174 + 0.913796i \(0.366863\pi\)
\(38\) −3.77748 + 2.17501i −0.612787 + 0.352834i
\(39\) 10.9251 0.455977i 1.74941 0.0730147i
\(40\) 2.01404 0.971414i 0.318448 0.153594i
\(41\) 0.105045 0.181944i 0.0164053 0.0284149i −0.857706 0.514140i \(-0.828111\pi\)
0.874112 + 0.485725i \(0.161444\pi\)
\(42\) −3.22321 5.08093i −0.497352 0.784005i
\(43\) 1.37404 + 0.793300i 0.209538 + 0.120977i 0.601097 0.799176i \(-0.294731\pi\)
−0.391558 + 0.920153i \(0.628064\pi\)
\(44\) 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 \(0.873964\pi\)
\(48\) −0.927823 1.46258i −0.133920 0.211105i
\(49\) −5.06830 −0.724043
\(50\) 4.65215 1.83234i 0.657914 0.259132i
\(51\) 2.78077 + 4.38349i 0.389386 + 0.613812i
\(52\) 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 \(0.347711\pi\)
\(54\) −4.78908 2.01611i −0.651711 0.274358i
\(55\) 1.75584 0.846877i 0.236757 0.114193i
\(56\) −3.47395 −0.464226
\(57\) 4.03679 + 6.37999i 0.534686 + 0.845051i
\(58\) 8.88687i 1.16690i
\(59\) −2.18147 + 3.77842i −0.284004 + 0.491909i −0.972367 0.233457i \(-0.924996\pi\)
0.688363 + 0.725366i \(0.258329\pi\)
\(60\) −1.82654 3.41522i −0.235806 0.440903i
\(61\) −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
\(63\) −8.55997 + 5.94488i −1.07846 + 0.748985i
\(64\) −1.00000 −0.125000
\(65\) 7.94503 11.6684i 0.985460 1.44729i
\(66\) −0.808874 1.27508i −0.0995655 0.156951i
\(67\) −4.83674 8.37747i −0.590901 1.02347i −0.994111 0.108364i \(-0.965439\pi\)
0.403210 0.915108i \(-0.367894\pi\)
\(68\) 2.99709 0.363451
\(69\) −14.7923 + 0.617383i −1.78079 + 0.0743242i
\(70\) −7.74661 0.575809i −0.925897 0.0688223i
\(71\) 4.33372 7.50622i 0.514318 0.890824i −0.485544 0.874212i \(-0.661379\pi\)
0.999862 0.0166124i \(-0.00528813\pi\)
\(72\) −2.46405 + 1.71128i −0.290391 + 0.201676i
\(73\) −4.86967 2.81151i −0.569952 0.329062i 0.187178 0.982326i \(-0.440066\pi\)
−0.757130 + 0.653264i \(0.773399\pi\)
\(74\) −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
\(78\) −9.68938 5.06765i −1.09711 0.573798i
\(79\) 1.31199 + 0.757479i 0.147611 + 0.0852230i 0.571986 0.820263i \(-0.306173\pi\)
−0.424376 + 0.905486i \(0.639506\pi\)
\(80\) −2.22992 0.165751i −0.249312 0.0185315i
\(81\) −3.14307 + 8.43333i −0.349230 + 0.937037i
\(82\) −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
\(85\) 6.68327 + 0.496770i 0.724902 + 0.0538823i
\(86\) −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 0.941929 0.335813i \(-0.109011\pi\)
−0.761787 + 0.647828i \(0.775678\pi\)
\(90\) −5.77827 + 3.40759i −0.609083 + 0.359191i
\(91\) −18.9931 + 10.9657i −1.99102 + 1.14951i
\(92\) −4.27390 + 7.40261i −0.445585 + 0.771775i
\(93\) 3.07614 + 1.60886i 0.318981 + 0.166831i
\(94\) 1.74543i 0.180027i
\(95\) 9.71912 + 0.733910i 0.997161 + 0.0752976i
\(96\) 0.0722272 + 1.73054i 0.00737166 + 0.176623i
\(97\) 5.86425 10.1572i 0.595425 1.03131i −0.398062 0.917358i \(-0.630317\pi\)
0.993487 0.113947i \(-0.0363495\pi\)
\(98\) 4.38928 + 2.53415i 0.443384 + 0.255988i
\(99\) −2.14815 + 1.49189i −0.215897 + 0.149940i
\(100\) −4.94505 0.739220i −0.494505 0.0739220i
\(101\) −8.71934 + 5.03411i −0.867607 + 0.500913i −0.866552 0.499087i \(-0.833669\pi\)
−0.00105449 + 0.999999i \(0.500336\pi\)
\(102\) −0.216472 5.18660i −0.0214339 0.513550i
\(103\) 5.37885 0.529994 0.264997 0.964249i \(-0.414629\pi\)
0.264997 + 0.964249i \(0.414629\pi\)
\(104\) −5.46729 + 3.15654i −0.536112 + 0.309525i
\(105\) −0.436947 + 13.4474i −0.0426416 + 1.31234i
\(106\) 0.657446 0.0638568
\(107\) 19.3918i 1.87468i 0.348416 + 0.937340i \(0.386720\pi\)
−0.348416 + 0.937340i \(0.613280\pi\)
\(108\) 3.13941 + 4.14054i 0.302090 + 0.398424i
\(109\) −12.1575 7.01914i −1.16448 0.672311i −0.212104 0.977247i \(-0.568032\pi\)
−0.952373 + 0.304936i \(0.901365\pi\)
\(110\) −1.94404 0.144501i −0.185357 0.0137776i
\(111\) −3.96650 + 7.58398i −0.376484 + 0.719839i
\(112\) 3.00853 + 1.73697i 0.284279 + 0.164129i
\(113\) 15.5078i 1.45885i −0.684061 0.729425i \(-0.739788\pi\)
0.684061 0.729425i \(-0.260212\pi\)
\(114\) −0.305968 7.54363i −0.0286565 0.706526i
\(115\) −10.7574 + 15.7988i −1.00313 + 1.47324i
\(116\) 4.44343 7.69625i 0.412563 0.714579i
\(117\) −8.06996 + 17.1339i −0.746068 + 1.58403i
\(118\) 3.77842 2.18147i 0.347832 0.200821i
\(119\) −9.01683 5.20587i −0.826572 0.477221i
\(120\) −0.125778 + 3.87094i −0.0114819 + 0.353367i
\(121\) 10.2400 0.930906
\(122\) 0.970274i 0.0878445i
\(123\) 0.194927 + 0.307275i 0.0175760 + 0.0277060i
\(124\) 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 \(0.138670\pi\)
−0.0878413 + 0.996134i \(0.527997\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) −2.32053 + 1.47208i −0.204311 + 0.129610i
\(130\) −12.7148 + 6.13262i −1.11516 + 0.537866i
\(131\) 6.82881 + 3.94262i 0.596636 + 0.344468i 0.767717 0.640789i \(-0.221393\pi\)
−0.171081 + 0.985257i \(0.554726\pi\)
\(132\) 0.0629676 + 1.50869i 0.00548062 + 0.131314i
\(133\) −13.1050 7.58669i −1.13634 0.657850i
\(134\) 9.67347i 0.835661i
\(135\) 6.31433 + 9.75342i 0.543451 + 0.839441i
\(136\) −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 \(0.995537\pi\)
\(138\) 13.1192 + 6.86150i 1.11678 + 0.584089i
\(139\) 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
\(147\) 4.06844 7.77888i 0.335559 0.641591i
\(148\) 2.47066 + 4.27931i 0.203087 + 0.351757i
\(149\) −2.06968 1.19493i −0.169554 0.0978923i 0.412821 0.910812i \(-0.364543\pi\)
−0.582376 + 0.812920i \(0.697877\pi\)
\(150\) −0.922086 + 8.61103i −0.0752880 + 0.703087i
\(151\) 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
\(155\) 4.03664 1.94696i 0.324231 0.156383i
\(156\) 5.85742 + 9.23340i 0.468969 + 0.739264i
\(157\) 7.79050 + 4.49785i 0.621749 + 0.358967i 0.777550 0.628821i \(-0.216462\pi\)
−0.155800 + 0.987789i \(0.549796\pi\)
\(158\) −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
\(162\) 6.93864 5.73195i 0.545151 0.450344i
\(163\) 11.3308i 0.887493i −0.896152 0.443747i \(-0.853649\pi\)
0.896152 0.443747i \(-0.146351\pi\)
\(164\) 0.210091 0.0164053
\(165\) −0.109653 + 3.37468i −0.00853649 + 0.262718i
\(166\) −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 \(0.616512\pi\)
\(168\) 2.78861 5.33184i 0.215146 0.411361i
\(169\) −13.4275 + 23.2572i −1.03289 + 1.78901i
\(170\) −5.53949 3.77185i −0.424860 0.289288i
\(171\) −13.0325 + 1.07435i −0.996619 + 0.0821574i
\(172\) 1.58660i 0.120977i
\(173\) −15.2300 8.79302i −1.15791 0.668521i −0.207109 0.978318i \(-0.566406\pi\)
−0.950803 + 0.309797i \(0.899739\pi\)
\(174\) −13.6396 7.13368i −1.03402 0.540803i
\(175\) 13.5933 + 10.8134i 1.02756 + 0.817415i
\(176\) 0.754999 + 0.435899i 0.0569102 + 0.0328571i
\(177\) −4.04804 6.38117i −0.304270 0.479638i
\(178\) 3.39892i 0.254760i
\(179\) −21.9659 −1.64181 −0.820906 0.571063i \(-0.806531\pi\)
−0.820906 + 0.571063i \(0.806531\pi\)
\(180\) 6.70792 0.0619225i 0.499979 0.00461543i
\(181\) 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
\(185\) 4.80007 + 9.95201i 0.352908 + 0.731686i
\(186\) −1.85959 2.93138i −0.136352 0.214939i
\(187\) −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
\(190\) −8.05005 5.49515i −0.584012 0.398660i
\(191\) 5.23302i 0.378648i −0.981915 0.189324i \(-0.939370\pi\)
0.981915 0.189324i \(-0.0606296\pi\)
\(192\) 0.802721 1.53481i 0.0579314 0.110765i
\(193\) −5.54090 + 9.59713i −0.398843 + 0.690816i −0.993583 0.113101i \(-0.963922\pi\)
0.594740 + 0.803918i \(0.297255\pi\)
\(194\) −10.1572 + 5.86425i −0.729243 + 0.421029i
\(195\) 11.5311 + 21.5606i 0.825761 + 1.54399i
\(196\) −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 \(0.754531\pi\)
\(200\) 3.91293 + 3.11271i 0.276686 + 0.220102i
\(201\) 16.7404 0.698688i 1.18078 0.0492817i
\(202\) 10.0682 0.708398
\(203\) −26.7364 + 15.4363i −1.87653 + 1.08341i
\(204\) −2.40583 + 4.59997i −0.168442 + 0.322062i
\(205\) 0.468485 + 0.0348227i 0.0327204 + 0.00243212i
\(206\) −4.65822 2.68943i −0.324554 0.187381i
\(207\) 10.9266 23.1990i 0.759448 1.61244i
\(208\) 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
\(213\) 8.04184 + 12.6768i 0.551018 + 0.868602i
\(214\) 9.69592 16.7938i 0.662799 1.14800i
\(215\) −0.262980 + 3.53798i −0.0179351 + 0.241288i
\(216\) −0.648538 5.15552i −0.0441274 0.350789i
\(217\) −6.96266 −0.472656
\(218\) 7.01914 + 12.1575i 0.475396 + 0.823410i
\(219\) 8.22412 5.21716i 0.555734 0.352543i
\(220\) 1.61133 + 1.09716i 0.108636 + 0.0739705i
\(221\) −18.9209 −1.27276
\(222\) 7.22708 4.58467i 0.485050 0.307703i
\(223\) −3.22090 + 5.57876i −0.215687 + 0.373582i −0.953485 0.301440i \(-0.902533\pi\)
0.737798 + 0.675022i \(0.235866\pi\)
\(224\) −1.73697 3.00853i −0.116056 0.201016i
\(225\) 14.9684 + 0.973760i 0.997891 + 0.0649173i
\(226\) −7.75390 + 13.4301i −0.515781 + 0.893360i
\(227\) 14.4546i 0.959383i 0.877437 + 0.479691i \(0.159251\pi\)
−0.877437 + 0.479691i \(0.840749\pi\)
\(228\) −3.50684 + 6.68596i −0.232246 + 0.442789i
\(229\) −6.01564 −0.397525 −0.198762 0.980048i \(-0.563692\pi\)
−0.198762 + 0.980048i \(0.563692\pi\)
\(230\) 17.2156 8.30344i 1.13516 0.547513i
\(231\) 2.43111 4.64829i 0.159955 0.305835i
\(232\) −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 \(-0.126567\pi\)
\(234\) 15.5557 10.8034i 1.01691 0.706243i
\(235\) 2.19663 3.22606i 0.143292 0.210445i
\(236\) −4.36295 −0.284004
\(237\) −2.21575 + 1.40561i −0.143928 + 0.0913043i
\(238\) 5.20587 + 9.01683i 0.337447 + 0.584475i
\(239\) 7.14845i 0.462395i 0.972907 + 0.231197i \(0.0742643\pi\)
−0.972907 + 0.231197i \(0.925736\pi\)
\(240\) 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
\(243\) −10.4206 11.5936i −0.668479 0.743731i
\(244\) 0.485137 0.840282i 0.0310577 0.0537935i
\(245\) −4.92342 10.2078i −0.314546 0.652150i
\(246\) −0.0151743 0.363571i −0.000967476 0.0231804i
\(247\) −27.5181 0.0323317i −1.75093 0.00205722i
\(248\) −2.00425 −0.127270
\(249\) −9.51037 + 18.1839i −0.602695 + 1.15236i
\(250\) 8.20958 + 7.58965i 0.519219 + 0.480012i
\(251\) 11.0941 6.40520i 0.700255 0.404293i −0.107187 0.994239i \(-0.534184\pi\)
0.807442 + 0.589946i \(0.200851\pi\)
\(252\) −9.42841 4.44071i −0.593934 0.279739i
\(253\) 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
\(260\) 14.0777 + 1.04640i 0.873059 + 0.0648949i
\(261\) −11.3600 + 24.1193i −0.703166 + 1.49294i
\(262\) −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 \(-0.0538934\pi\)
\(264\) 0.699811 1.33804i 0.0430704 0.0823509i
\(265\) −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 −0.990510 0.137438i \(-0.956113\pi\)
0.614280 + 0.789088i \(0.289446\pi\)
\(270\) −0.591654 11.6039i −0.0360069 0.706189i
\(271\) 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
\(275\) 3.41129 + 2.71366i 0.205708 + 0.163640i
\(276\) −7.93084 12.5018i −0.477380 0.752523i
\(277\) 1.11259i 0.0668489i 0.999441 + 0.0334245i \(0.0106413\pi\)
−0.999441 + 0.0334245i \(0.989359\pi\)
\(278\) 9.64083i 0.578219i
\(279\) −4.93857 + 3.42983i −0.295665 + 0.205338i
\(280\) −3.37464 6.99667i −0.201673 0.418131i
\(281\) 11.7563 + 20.3626i 0.701324 + 1.21473i 0.968002 + 0.250943i \(0.0807408\pi\)
−0.266677 + 0.963786i \(0.585926\pi\)
\(282\) −2.67890 1.40109i −0.159526 0.0834339i
\(283\) 1.99227 + 1.15024i 0.118428 + 0.0683746i 0.558044 0.829811i \(-0.311552\pi\)
−0.439616 + 0.898186i \(0.644885\pi\)
\(284\) 8.66744 0.514318
\(285\) −8.92816 + 14.3279i −0.528859 + 0.848710i
\(286\) 5.50374 0.325443
\(287\) −0.632063 0.364922i −0.0373095 0.0215407i
\(288\) −2.71403 1.27829i −0.159926 0.0753240i
\(289\) 4.00871 + 6.94330i 0.235807 + 0.408429i
\(290\) −17.8985 + 8.63283i −1.05104 + 0.506937i
\(291\) 10.8820 + 17.1539i 0.637913 + 1.00558i
\(292\) 5.62301i 0.329062i
\(293\) 1.35095i 0.0789231i 0.999221 + 0.0394616i \(0.0125643\pi\)
−0.999221 + 0.0394616i \(0.987436\pi\)
\(294\) −7.41281 + 4.70249i −0.432324 + 0.274255i
\(295\) −9.72901 0.723162i −0.566445 0.0421041i
\(296\) 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
\(300\) 5.10406 6.99632i 0.294683 0.403933i
\(301\) 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
\(306\) 8.13421 + 3.83115i 0.465002 + 0.219013i
\(307\) 5.94232 10.2924i 0.339146 0.587419i −0.645126 0.764076i \(-0.723195\pi\)
0.984272 + 0.176657i \(0.0565285\pi\)
\(308\) −1.51429 2.62283i −0.0862847 0.149449i
\(309\) −4.31772 + 8.25551i −0.245626 + 0.469639i
\(310\) −4.46931 0.332206i −0.253840 0.0188680i
\(311\) 22.0565i 1.25071i 0.780340 + 0.625355i \(0.215046\pi\)
−0.780340 + 0.625355i \(0.784954\pi\)
\(312\) −0.455977 10.9251i −0.0258146 0.618511i
\(313\) −9.16982 + 5.29420i −0.518309 + 0.299246i −0.736242 0.676718i \(-0.763402\pi\)
0.217934 + 0.975964i \(0.430068\pi\)
\(314\) −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 \(0.561388\pi\)
\(318\) −0.527746 + 1.00905i −0.0295945 + 0.0565849i
\(319\) −6.70958 + 3.87378i −0.375664 + 0.216890i
\(320\) −0.971414 2.01404i −0.0543037 0.112588i
\(321\) −29.7628 15.5662i −1.66120 0.868823i
\(322\) −29.6946 −1.65481
\(323\) −6.51872 11.3214i −0.362711 0.629942i
\(324\) −8.87502 + 1.49469i −0.493056 + 0.0830385i
\(325\) 31.2185 + 4.66676i 1.73169 + 0.258865i
\(326\) −5.66538 + 9.81272i −0.313776 + 0.543476i
\(327\) 20.5321 13.0250i 1.13543 0.720286i
\(328\) −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
\(333\) −8.45596 12.1756i −0.463384 0.667221i
\(334\) 20.0780 1.09862
\(335\) 12.1741 17.8794i 0.665142 0.976855i
\(336\) −5.08093 + 3.22321i −0.277187 + 0.175840i
\(337\) −12.5202 + 21.6856i −0.682017 + 1.18129i 0.292347 + 0.956312i \(0.405564\pi\)
−0.974364 + 0.224976i \(0.927770\pi\)
\(338\) 23.2572 13.4275i 1.26502 0.730361i
\(339\) 23.8015 + 12.4484i 1.29272 + 0.676106i
\(340\) 2.91142 + 6.03626i 0.157894 + 0.327362i
\(341\) −1.74730 −0.0946218
\(342\) 11.8236 + 5.58583i 0.639349 + 0.302047i
\(343\) 6.71061i 0.362339i
\(344\) 0.793300 1.37404i 0.0427719 0.0740830i
\(345\) −15.6129 29.1926i −0.840571 1.57168i
\(346\) 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 \(0.221792\pi\)
\(348\) 8.24544 + 12.9978i 0.442002 + 0.696754i
\(349\) 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
\(351\) −19.8194 26.1396i −1.05788 1.39523i
\(352\) −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
\(355\) 19.3277 + 1.43663i 1.02581 + 0.0762486i
\(356\) −1.69946 + 2.94355i −0.0900711 + 0.156008i
\(357\) 15.2280 9.66025i 0.805952 0.511275i
\(358\) 19.0231 + 10.9830i 1.00540 + 0.580468i
\(359\) 11.4443 + 6.60735i 0.604005 + 0.348723i 0.770616 0.637300i \(-0.219949\pi\)
−0.166610 + 0.986023i \(0.553282\pi\)
\(360\) −5.84019 3.30033i −0.307805 0.173943i
\(361\) −9.46131 16.4768i −0.497964 0.867198i
\(362\) −5.59813 −0.294231
\(363\) −8.21984 + 15.7164i −0.431430 + 0.824897i
\(364\) −18.9931 10.9657i −0.995508 0.574757i
\(365\) 0.932018 12.5388i 0.0487841 0.656313i
\(366\) −1.48918 0.778860i −0.0778409 0.0407116i
\(367\) −1.93371 + 1.11643i −0.100939 + 0.0582771i −0.549620 0.835415i \(-0.685227\pi\)
0.448681 + 0.893692i \(0.351894\pi\)
\(368\) −8.54779 −0.445585
\(369\) −0.628080 + 0.0525195i −0.0326965 + 0.00273405i
\(370\) 0.819027 11.0187i 0.0425792 0.572836i
\(371\) 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 \(-0.576659\pi\)
−0.238509 + 0.971140i \(0.576659\pi\)
\(374\) 1.30643 + 2.26280i 0.0675539 + 0.117007i
\(375\) 12.5413 14.7552i 0.647629 0.761956i
\(376\) −1.51159 + 0.872714i −0.0779541 + 0.0450068i
\(377\) −28.0518 + 48.5871i −1.44474 + 2.50236i
\(378\) −7.00386 + 16.6370i −0.360240 + 0.855716i
\(379\) 33.3061i 1.71082i −0.517951 0.855410i \(-0.673305\pi\)
0.517951 0.855410i \(-0.326695\pi\)
\(380\) 4.22398 + 8.78396i 0.216685 + 0.450608i
\(381\) −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 \(0.464462\pi\)
\(384\) −1.46258 + 0.927823i −0.0746371 + 0.0473478i
\(385\) −2.94201 6.09968i −0.149938 0.310869i
\(386\) 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 −0.621627 0.783314i \(-0.713528\pi\)
0.367556 + 0.930001i \(0.380195\pi\)
\(390\) 0.794049 24.4376i 0.0402082 1.23745i
\(391\) 25.6185 1.29559
\(392\) 5.06830i 0.255988i
\(393\) −11.5328 + 7.31610i −0.581753 + 0.369048i
\(394\) 11.2645 + 6.50358i 0.567499 + 0.327646i
\(395\) −0.251105 + 3.37823i −0.0126345 + 0.169977i
\(396\) −2.36609 1.11441i −0.118900 0.0560013i
\(397\) 23.7238 + 13.6969i 1.19066 + 0.687429i 0.958457 0.285238i \(-0.0920727\pi\)
0.232205 + 0.972667i \(0.425406\pi\)
\(398\) 6.91354i 0.346544i
\(399\) 22.1638 14.0236i 1.10958 0.702058i
\(400\) −1.83234 4.65215i −0.0916172 0.232608i
\(401\) −8.70240 + 15.0730i −0.434577 + 0.752709i −0.997261 0.0739626i \(-0.976435\pi\)
0.562684 + 0.826672i \(0.309769\pi\)
\(402\) −14.8469 7.76511i −0.740498 0.387288i
\(403\) −10.9578 + 6.32651i −0.545848 + 0.315146i
\(404\) −8.71934 5.03411i −0.433803 0.250456i
\(405\) −20.0383 + 1.86200i −0.995711 + 0.0925235i
\(406\) 30.8725 1.53218
\(407\) 4.30783i 0.213531i
\(408\) 4.38349 2.78077i 0.217015 0.137669i
\(409\) 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
\(414\) −21.0622 + 14.6276i −1.03515 + 0.718909i
\(415\) 11.5090 + 23.8617i 0.564954 + 1.17132i
\(416\) −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 \(0.276119\pi\)
−0.646770 + 0.762685i \(0.723881\pi\)
\(420\) −11.8643 + 6.34531i −0.578918 + 0.309620i
\(421\) −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
\(423\) −2.23116 + 4.73715i −0.108483 + 0.230328i
\(424\) 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 \(-0.983714\pi\)
0.455055 0.890463i \(-0.349620\pi\)
\(432\) −2.01611 + 4.78908i −0.0970002 + 0.230415i
\(433\) 13.4093 + 23.2256i 0.644411 + 1.11615i 0.984437 + 0.175737i \(0.0562307\pi\)
−0.340026 + 0.940416i \(0.610436\pi\)
\(434\) 6.02984 + 3.48133i 0.289442 + 0.167109i
\(435\) 16.2323 + 30.3506i 0.778277 + 1.45520i
\(436\) 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 \(0.515116\pi\)
\(440\) −0.846877 1.75584i −0.0403733 0.0837062i
\(441\) 8.67327 + 12.4885i 0.413013 + 0.594693i
\(442\) 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
\(447\) 3.49536 2.21736i 0.165325 0.104878i
\(448\) 3.47395i 0.164129i
\(449\) 25.7314 1.21434 0.607169 0.794573i \(-0.292305\pi\)
0.607169 + 0.794573i \(0.292305\pi\)
\(450\) −12.4761 8.32748i −0.588129 0.392561i
\(451\) −0.158618 0.0915783i −0.00746904 0.00431226i
\(452\) 13.4301 7.75390i 0.631701 0.364713i
\(453\) 19.0102 + 9.94253i 0.893177 + 0.467141i
\(454\) 7.22728 12.5180i 0.339193 0.587500i
\(455\) −40.5354 27.6006i −1.90033 1.29394i
\(456\) 6.37999 4.03679i 0.298771 0.189040i
\(457\) 8.61040i 0.402777i 0.979511 + 0.201389i \(0.0645454\pi\)
−0.979511 + 0.201389i \(0.935455\pi\)
\(458\) 5.20970 + 3.00782i 0.243433 + 0.140546i
\(459\) 6.04247 14.3533i 0.282038 0.669956i
\(460\) −19.0609 1.41680i −0.888717 0.0660588i
\(461\) 27.2270 + 15.7195i 1.26809 + 0.732132i 0.974626 0.223839i \(-0.0718589\pi\)
0.293463 + 0.955970i \(0.405192\pi\)
\(462\) −4.42955 + 2.80999i −0.206081 + 0.130732i
\(463\) 23.6251i 1.09795i −0.835838 0.548976i \(-0.815018\pi\)
0.835838 0.548976i \(-0.184982\pi\)
\(464\) 8.88687 0.412563
\(465\) −0.252091 + 7.75834i −0.0116904 + 0.359784i
\(466\) −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
\(470\) −3.51536 + 1.69553i −0.162152 + 0.0782091i
\(471\) −13.1569 + 8.34641i −0.606239 + 0.384582i
\(472\) 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
\(475\) 7.96317 + 20.2876i 0.365375 + 0.930860i
\(476\) 10.4117i 0.477221i
\(477\) 1.78433 + 0.840406i 0.0816988 + 0.0384795i
\(478\) 3.57423 6.19074i 0.163481 0.283158i
\(479\) 2.53529 1.46375i 0.115840 0.0668805i −0.440960 0.897527i \(-0.645362\pi\)
0.556801 + 0.830646i \(0.312029\pi\)
\(480\) −3.41522 + 1.82654i −0.155883 + 0.0833699i
\(481\) −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
\(485\) 26.1536 + 1.94401i 1.18757 + 0.0882728i
\(486\) 3.22765 + 15.2506i 0.146409 + 0.691783i
\(487\) 9.40209 0.426049 0.213025 0.977047i \(-0.431669\pi\)
0.213025 + 0.977047i \(0.431669\pi\)
\(488\) −0.840282 + 0.485137i −0.0380378 + 0.0219611i
\(489\) 17.3905 + 9.09544i 0.786427 + 0.411310i
\(490\) −0.840075 + 11.3019i −0.0379507 + 0.510568i
\(491\) −30.6424 17.6914i −1.38287 0.798401i −0.390373 0.920657i \(-0.627654\pi\)
−0.992499 + 0.122256i \(0.960987\pi\)
\(492\) −0.168644 + 0.322449i −0.00760307 + 0.0145371i
\(493\) −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
\(498\) 17.3282 10.9925i 0.776494 0.492587i
\(499\) −13.7066 + 23.7405i −0.613591 + 1.06277i 0.377039 + 0.926197i \(0.376942\pi\)
−0.990630 + 0.136574i \(0.956391\pi\)
\(500\) −3.31487 10.6776i −0.148246 0.477518i
\(501\) −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 \(0.823584\pi\)
\(504\) 5.94488 + 8.55997i 0.264806 + 0.381291i
\(505\) −18.6090 12.6709i −0.828089 0.563847i
\(506\) −7.45195 −0.331280
\(507\) −24.9167 39.2777i −1.10659 1.74438i
\(508\) −9.22692 + 15.9815i −0.409379 + 0.709064i
\(509\) 3.66590 + 6.34953i 0.162488 + 0.281438i 0.935760 0.352636i \(-0.114715\pi\)
−0.773272 + 0.634074i \(0.781381\pi\)
\(510\) 10.2357 5.47432i 0.453246 0.242407i
\(511\) −9.76702 + 16.9170i −0.432068 + 0.748363i
\(512\) 1.00000i 0.0441942i
\(513\) 8.81254 20.8648i 0.389083 0.921203i
\(514\) −29.2749 −1.29126
\(515\) 5.22509 + 10.8332i 0.230245 + 0.477369i
\(516\) −2.43513 1.27360i −0.107200 0.0560670i
\(517\) −1.31780 + 0.760831i −0.0579567 + 0.0334613i
\(518\) −8.58294 + 14.8661i −0.377113 + 0.653178i
\(519\) 25.7210 16.3167i 1.12903 0.716225i
\(520\) −11.6684 7.94503i −0.511694 0.348413i
\(521\) 3.56001 0.155967 0.0779834 0.996955i \(-0.475152\pi\)
0.0779834 + 0.996955i \(0.475152\pi\)
\(522\) 21.8977 15.2079i 0.958435 0.665631i
\(523\) 2.42658 + 4.20296i 0.106107 + 0.183783i 0.914190 0.405286i \(-0.132828\pi\)
−0.808083 + 0.589069i \(0.799495\pi\)
\(524\) 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
\(528\) −1.27508 + 0.808874i −0.0554906 + 0.0352017i
\(529\) −25.0324 + 43.3574i −1.08836 + 1.88510i
\(530\) 0.638652 + 1.32412i 0.0277413 + 0.0575162i
\(531\) 13.0433 1.09067i 0.566032 0.0473311i
\(532\) 0.0177914 15.1426i 0.000771356 0.656514i
\(533\) −1.32632 −0.0574493
\(534\) 5.21669 + 2.72838i 0.225748 + 0.118069i
\(535\) −39.0559 + 18.8375i −1.68854 + 0.814416i
\(536\) −8.37747 + 4.83674i −0.361852 + 0.208915i
\(537\) 17.6325 33.7135i 0.760900 1.45485i
\(538\) 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
\(545\) 2.32685 31.3042i 0.0996714 1.34092i
\(546\) −17.6047 + 33.6604i −0.753414 + 1.44053i
\(547\) 11.2093 + 19.4150i 0.479274 + 0.830126i 0.999717 0.0237697i \(-0.00756683\pi\)
−0.520444 + 0.853896i \(0.674233\pi\)
\(548\) 5.70966 9.88943i 0.243905 0.422455i
\(549\) −1.24029 + 2.63336i −0.0529343 + 0.112389i
\(550\) −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
\(555\) −19.1275 0.621510i −0.811919 0.0263816i
\(556\) −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
\(560\) −0.575809 + 7.74661i −0.0243324 + 0.327354i
\(561\) 3.82152 2.42427i 0.161345 0.102353i
\(562\) 23.5127i 0.991822i
\(563\) 17.2920i 0.728771i −0.931248 0.364385i \(-0.881279\pi\)
0.931248 0.364385i \(-0.118721\pi\)
\(564\) 1.61945 + 2.55283i 0.0681911 + 0.107494i
\(565\) 31.2333 15.0645i 1.31399 0.633768i
\(566\) −1.15024 1.99227i −0.0483482 0.0837415i
\(567\) 29.2970 + 10.9188i 1.23036 + 0.458548i
\(568\) −7.50622 4.33372i −0.314954 0.181839i
\(569\) 30.6358 1.28432 0.642160 0.766570i \(-0.278038\pi\)
0.642160 + 0.766570i \(0.278038\pi\)
\(570\) 14.8960 7.94422i 0.623923 0.332747i
\(571\) 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
\(573\) 8.03168 + 4.20066i 0.335528 + 0.175485i
\(574\) 0.364922 + 0.632063i 0.0152315 + 0.0263818i
\(575\) −42.2693 6.31870i −1.76275 0.263508i
\(576\) 1.71128 + 2.46405i 0.0713032 + 0.102669i
\(577\) 31.2258i 1.29995i 0.759956 + 0.649974i \(0.225220\pi\)
−0.759956 + 0.649974i \(0.774780\pi\)
\(578\) 8.01743i 0.333481i
\(579\) −10.2820 16.2081i −0.427303 0.673584i
\(580\) 19.8170 + 1.47300i 0.822855 + 0.0611632i
\(581\) 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
\(585\) −42.3477 + 0.390922i −1.75086 + 0.0161626i
\(586\) 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
\(591\) 10.4411 19.9635i 0.429491 0.821189i
\(592\) −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 \(0.682519\pi\)
\(594\) −1.75764 + 4.17511i −0.0721169 + 0.171307i
\(595\) 1.72575 23.2173i 0.0707490 0.951817i
\(596\) 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 0.775992 0.630743i \(-0.217250\pi\)
−0.934235 + 0.356657i \(0.883916\pi\)
\(600\) −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
\(603\) −12.3655 + 26.2541i −0.503562 + 1.06915i
\(604\) 10.7266 6.19302i 0.436460 0.251990i
\(605\) 9.94725 + 20.6237i 0.404413 + 0.838473i
\(606\) −8.08198 + 15.4528i −0.328308 + 0.627727i
\(607\) −14.6050 −0.592800 −0.296400 0.955064i \(-0.595786\pi\)
−0.296400 + 0.955064i \(0.595786\pi\)
\(608\) 0.00512138 4.35890i 0.000207700 0.176777i
\(609\) −2.22984 53.4262i −0.0903575 2.16494i
\(610\) −1.95417 + 0.942537i −0.0791220 + 0.0381622i
\(611\) −5.50952 + 9.54277i −0.222891 + 0.386059i
\(612\) −5.12886 7.38498i −0.207322 0.298520i
\(613\) 18.5279 + 10.6971i 0.748335 + 0.432051i 0.825092 0.564999i \(-0.191123\pi\)
−0.0767571 + 0.997050i \(0.524457\pi\)
\(614\) −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 \(0.736264\pi\)
\(618\) 7.86701 4.99062i 0.316458 0.200752i
\(619\) 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
\(621\) 26.8350 + 35.3925i 1.07685 + 1.42025i
\(622\) 11.0283 19.1015i 0.442193 0.765900i
\(623\) 10.2257 5.90383i 0.409685 0.236532i
\(624\) −5.06765 + 9.68938i −0.202868 + 0.387886i
\(625\) −5.62207 24.3596i −0.224883 0.974386i
\(626\) 10.5884 0.423197
\(627\) 5.56207 3.51927i 0.222128 0.140546i
\(628\) 8.99569i 0.358967i
\(629\) 7.40480 12.8255i 0.295249 0.511386i
\(630\) 11.8378 + 20.0734i 0.471628 + 0.799743i
\(631\) −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
\(633\) −1.75159 + 1.11116i −0.0696194 + 0.0441647i
\(634\) 23.3850 0.928736
\(635\) −23.2242 + 34.1080i −0.921625 + 1.35354i
\(636\) 0.961568 0.609993i 0.0381286 0.0241878i
\(637\) 15.9983 + 27.7099i 0.633877 + 1.09791i
\(638\) 7.74756 0.306729
\(639\) −25.9119 + 2.16673i −1.02506 + 0.0857144i
\(640\) −0.165751 + 2.22992i −0.00655187 + 0.0881452i
\(641\) −6.54091 + 11.3292i −0.258350 + 0.447476i −0.965800 0.259288i \(-0.916512\pi\)
0.707450 + 0.706764i \(0.249846\pi\)
\(642\) 17.9922 + 28.3621i 0.710095 + 1.11936i
\(643\) −26.1332 15.0880i −1.03059 0.595013i −0.113439 0.993545i \(-0.536187\pi\)
−0.917155 + 0.398532i \(0.869520\pi\)
\(644\) 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 \(0.277239\pi\)
\(648\) 8.43333 + 3.14307i 0.331293 + 0.123471i
\(649\) 3.29402 + 1.90181i 0.129302 + 0.0746524i
\(650\) −24.7027 19.6508i −0.968919 0.770768i
\(651\) 5.58908 10.6864i 0.219053 0.418831i
\(652\) 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
\(655\) −1.30698 + 17.5834i −0.0510681 + 0.687041i
\(656\) 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 \(0.0719794\pi\)
−0.293101 + 0.956081i \(0.594687\pi\)
\(660\) −2.97738 + 1.59238i −0.115895 + 0.0619832i
\(661\) −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
\(663\) 15.1882 29.0400i 0.589862 1.12782i
\(664\) 11.8477i 0.459778i
\(665\) 2.54956 33.7637i 0.0988679 1.30930i
\(666\) 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
\(669\) −5.97685 9.42166i −0.231078 0.364262i
\(670\) −19.4828 + 9.39695i −0.752685 + 0.363036i
\(671\) −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 \(-0.263977\pi\)
0.675386 + 0.737465i \(0.263977\pi\)
\(674\) 21.6856 12.5202i 0.835297 0.482259i
\(675\) −13.5100 + 22.1919i −0.519999 + 0.854167i
\(676\) −26.8551 −1.03289
\(677\) 7.52942i 0.289379i 0.989477 + 0.144690i \(0.0462184\pi\)
−0.989477 + 0.144690i \(0.953782\pi\)
\(678\) −14.3885 22.6814i −0.552586 0.871074i
\(679\) −35.2855 20.3721i −1.35413 0.781809i
\(680\) 0.496770 6.68327i 0.0190503 0.256292i
\(681\) −22.1850 11.6030i −0.850131 0.444627i
\(682\) 1.51321 + 0.873651i 0.0579438 + 0.0334538i
\(683\) 13.2527i 0.507102i −0.967322 0.253551i \(-0.918401\pi\)
0.967322 0.253551i \(-0.0815986\pi\)
\(684\) −7.44666 10.7493i −0.284730 0.411010i
\(685\) 14.3713 21.1062i 0.549097 0.806427i
\(686\) −3.35530 + 5.81156i −0.128106 + 0.221886i
\(687\) 4.82888 9.23285i 0.184233 0.352255i
\(688\) −1.37404 + 0.793300i −0.0523846 + 0.0302443i
\(689\) 3.59445 + 2.07526i 0.136938 + 0.0790609i
\(690\) −1.07513 + 33.0880i −0.0409294 + 1.25964i
\(691\) 36.9407 1.40529 0.702645 0.711541i \(-0.252002\pi\)
0.702645 + 0.711541i \(0.252002\pi\)
\(692\) 17.5860i 0.668521i
\(693\) 5.18274 + 7.46257i 0.196876 + 0.283480i
\(694\) 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
\(699\) 22.5565 + 35.5571i 0.853165 + 1.34489i
\(700\) −2.56801 + 17.1789i −0.0970617 + 0.649300i
\(701\) −27.5237 15.8908i −1.03956 0.600188i −0.119849 0.992792i \(-0.538241\pi\)
−0.919708 + 0.392604i \(0.871574\pi\)
\(702\) 4.09428 + 32.5473i 0.154528 + 1.22842i
\(703\) 10.7913 18.6404i 0.407000 0.703036i
\(704\) 0.871798i 0.0328571i
\(705\) 3.18810 + 5.96102i 0.120071 + 0.224505i
\(706\) 4.51510 + 2.60679i 0.169928 + 0.0981079i
\(707\) 17.4882 + 30.2905i 0.657713 + 1.13919i
\(708\) 3.50223 6.69629i 0.131622 0.251662i
\(709\) −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
\(717\) −10.9715 5.73822i −0.409738 0.214298i
\(718\) −6.60735 11.4443i −0.246584 0.427096i
\(719\) −12.7834 7.38050i −0.476740 0.275246i 0.242317 0.970197i \(-0.422093\pi\)
−0.719057 + 0.694951i \(0.755426\pi\)
\(720\) 3.40759 + 5.77827i 0.126993 + 0.215343i
\(721\) 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
\(725\) 43.9460 + 6.56935i 1.63212 + 0.243980i
\(726\) 14.9768 9.50087i 0.555841 0.352611i
\(727\) −31.0352 17.9182i −1.15103 0.664548i −0.201892 0.979408i \(-0.564709\pi\)
−0.949138 + 0.314860i \(0.898042\pi\)
\(728\) 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
\(732\) 0.900242 + 1.41910i 0.0332739 + 0.0524516i
\(733\) 35.8941i 1.32578i −0.748718 0.662889i \(-0.769330\pi\)
0.748718 0.662889i \(-0.230670\pi\)
\(734\) 2.23286 0.0824163
\(735\) 19.6191 + 0.637482i 0.723662 + 0.0235139i
\(736\) 7.40261 + 4.27390i 0.272864 + 0.157538i
\(737\) −7.30347 + 4.21666i −0.269027 + 0.155323i
\(738\) 0.570193 + 0.268557i 0.0209891 + 0.00988571i
\(739\) −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
\(741\) 22.1390 42.2090i 0.813296 1.55059i
\(742\) 2.28393i 0.0838457i
\(743\) −18.8787 10.8996i −0.692591 0.399868i 0.111991 0.993709i \(-0.464277\pi\)
−0.804582 + 0.593842i \(0.797611\pi\)
\(744\) 1.60886 3.07614i 0.0589835 0.112777i
\(745\) 0.396120 5.32918i 0.0145127 0.195246i
\(746\) 7.97846 + 4.60637i 0.292112 + 0.168651i
\(747\) −20.2746 29.1932i −0.741810 1.06812i
\(748\) 2.61286i 0.0955357i
\(749\) 67.3662 2.46151
\(750\) −18.2387 + 6.50775i −0.665982 + 0.237629i
\(751\) 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
\(755\) 24.9460 12.0320i 0.907876 0.437888i
\(756\) 14.3840 10.9061i 0.523142 0.396653i
\(757\) −21.9934 12.6979i −0.799363 0.461513i 0.0438853 0.999037i \(-0.486026\pi\)
−0.843248 + 0.537524i \(0.819360\pi\)
\(758\) −16.6531 + 28.8439i −0.604866 + 1.04766i
\(759\) 0.538234 + 12.8959i 0.0195366 + 0.468093i
\(760\) 0.733910 9.71912i 0.0266217 0.352550i
\(761\) 23.3860i 0.847741i −0.905723 0.423871i \(-0.860671\pi\)
0.905723 0.423871i \(-0.139329\pi\)
\(762\) 28.3231 + 14.8133i 1.02604 + 0.536629i
\(763\) −24.3841 + 42.2345i −0.882764 + 1.52899i
\(764\) 4.53193 2.61651i 0.163959 0.0946620i
\(765\) −10.2129 17.3180i −0.369246 0.626134i
\(766\) −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 \(0.938481\pi\)
\(770\) −0.501989 + 6.75348i −0.0180904 + 0.243379i
\(771\) 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 \(0.207853\pi\)
\(774\) −2.02813 + 4.30608i −0.0728998 + 0.154779i
\(775\) 7.84250 + 6.23865i 0.281711 + 0.224099i
\(776\)