Properties

Label 224.3.w.a.43.13
Level 224
Weight 3
Character 224.43
Analytic conductor 6.104
Analytic rank 0
Dimension 192
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 224 = 2^{5} \cdot 7 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 224.w (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.10355792167\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(48\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 43.13
Character \(\chi\) \(=\) 224.43
Dual form 224.3.w.a.99.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.40435 + 1.42401i) q^{2} +(-1.23085 - 2.97155i) q^{3} +(-0.0555981 - 3.99961i) q^{4} +(0.908665 - 2.19371i) q^{5} +(5.96006 + 2.42035i) q^{6} +(1.87083 - 1.87083i) q^{7} +(5.77356 + 5.53769i) q^{8} +(-0.951124 + 0.951124i) q^{9} +O(q^{10})\) \(q+(-1.40435 + 1.42401i) q^{2} +(-1.23085 - 2.97155i) q^{3} +(-0.0555981 - 3.99961i) q^{4} +(0.908665 - 2.19371i) q^{5} +(5.96006 + 2.42035i) q^{6} +(1.87083 - 1.87083i) q^{7} +(5.77356 + 5.53769i) q^{8} +(-0.951124 + 0.951124i) q^{9} +(1.84778 + 4.37468i) q^{10} +(0.333793 - 0.805848i) q^{11} +(-11.8166 + 5.08816i) q^{12} +(-0.135317 - 0.326684i) q^{13} +(0.0367756 + 5.29137i) q^{14} -7.63715 q^{15} +(-15.9938 + 0.444742i) q^{16} -16.7741i q^{17} +(-0.0186966 - 2.69012i) q^{18} +(-19.8537 + 8.22367i) q^{19} +(-8.82451 - 3.51234i) q^{20} +(-7.86197 - 3.25654i) q^{21} +(0.678771 + 1.60702i) q^{22} +(-25.3488 - 25.3488i) q^{23} +(9.34908 - 23.9725i) q^{24} +(13.6910 + 13.6910i) q^{25} +(0.655233 + 0.266086i) q^{26} +(-22.7469 - 9.42208i) q^{27} +(-7.58661 - 7.37858i) q^{28} +(-4.81426 + 1.99413i) q^{29} +(10.7252 - 10.8754i) q^{30} -28.7483i q^{31} +(21.8276 - 23.3999i) q^{32} -2.80547 q^{33} +(23.8865 + 23.5567i) q^{34} +(-2.40410 - 5.80401i) q^{35} +(3.85701 + 3.75125i) q^{36} +(-15.4691 + 37.3456i) q^{37} +(16.1710 - 39.8208i) q^{38} +(-0.804201 + 0.804201i) q^{39} +(17.3943 - 7.63362i) q^{40} +(17.6512 - 17.6512i) q^{41} +(15.6783 - 6.62219i) q^{42} +(3.86180 - 9.32321i) q^{43} +(-3.24164 - 1.29024i) q^{44} +(1.22224 + 2.95074i) q^{45} +(71.6955 - 0.498291i) q^{46} -0.603030 q^{47} +(21.0076 + 46.9790i) q^{48} -7.00000i q^{49} +(-38.7230 + 0.269129i) q^{50} +(-49.8450 + 20.6465i) q^{51} +(-1.29909 + 0.559378i) q^{52} +(-12.2763 - 5.08500i) q^{53} +(45.3618 - 19.1599i) q^{54} +(-1.46449 - 1.46449i) q^{55} +(21.1614 - 0.441278i) q^{56} +(48.8741 + 48.8741i) q^{57} +(3.92125 - 9.65600i) q^{58} +(-73.4795 - 30.4362i) q^{59} +(0.424611 + 30.5456i) q^{60} +(-10.6864 + 4.42646i) q^{61} +(40.9379 + 40.3727i) q^{62} +3.55878i q^{63} +(2.66802 + 63.9444i) q^{64} -0.839607 q^{65} +(3.93986 - 3.99501i) q^{66} +(27.8797 + 67.3075i) q^{67} +(-67.0900 + 0.932609i) q^{68} +(-44.1245 + 106.526i) q^{69} +(11.6412 + 4.72741i) q^{70} +(-26.0262 + 26.0262i) q^{71} +(-10.7584 + 0.224345i) q^{72} +(55.0444 - 55.0444i) q^{73} +(-31.4565 - 74.4744i) q^{74} +(23.8318 - 57.5350i) q^{75} +(33.9953 + 78.9499i) q^{76} +(-0.883134 - 2.13207i) q^{77} +(-0.0158085 - 2.27457i) q^{78} -42.0771 q^{79} +(-13.5574 + 35.4899i) q^{80} +91.2966i q^{81} +(0.346975 + 49.9238i) q^{82} +(96.5828 - 40.0059i) q^{83} +(-12.5878 + 31.6259i) q^{84} +(-36.7975 - 15.2420i) q^{85} +(7.85300 + 18.5923i) q^{86} +(11.8513 + 11.8513i) q^{87} +(6.38971 - 2.80417i) q^{88} +(31.7987 + 31.7987i) q^{89} +(-5.91833 - 2.40340i) q^{90} +(-0.864324 - 0.358015i) q^{91} +(-99.9761 + 102.795i) q^{92} +(-85.4270 + 35.3850i) q^{93} +(0.846866 - 0.858720i) q^{94} +51.0258i q^{95} +(-96.4005 - 36.0599i) q^{96} +76.5787 q^{97} +(9.96806 + 9.83046i) q^{98} +(0.448983 + 1.08394i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192q + O(q^{10}) \) \( 192q + 80q^{10} + 96q^{12} - 20q^{16} - 60q^{18} - 260q^{22} + 64q^{23} - 144q^{24} - 200q^{26} + 192q^{27} - 40q^{30} + 40q^{32} + 120q^{34} + 464q^{36} + 504q^{38} - 384q^{39} + 360q^{40} - 96q^{43} + 52q^{44} + 64q^{46} - 104q^{48} - 312q^{50} - 384q^{51} - 320q^{52} + 160q^{53} - 576q^{54} - 512q^{55} - 196q^{56} - 360q^{58} - 872q^{60} + 128q^{61} - 408q^{62} + 832q^{66} + 160q^{67} + 856q^{68} - 384q^{69} + 336q^{70} + 1488q^{72} + 308q^{74} + 768q^{75} + 1024q^{76} - 224q^{77} - 408q^{78} + 1024q^{79} - 1040q^{80} - 240q^{82} - 1384q^{86} + 896q^{87} - 560q^{88} - 1320q^{90} - 380q^{92} - 936q^{94} - 1088q^{96} - 512q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{5}{8}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.40435 + 1.42401i −0.702175 + 0.712004i
\(3\) −1.23085 2.97155i −0.410285 0.990516i −0.985061 0.172205i \(-0.944911\pi\)
0.574776 0.818311i \(-0.305089\pi\)
\(4\) −0.0555981 3.99961i −0.0138995 0.999903i
\(5\) 0.908665 2.19371i 0.181733 0.438742i −0.806591 0.591110i \(-0.798690\pi\)
0.988324 + 0.152368i \(0.0486899\pi\)
\(6\) 5.96006 + 2.42035i 0.993343 + 0.403391i
\(7\) 1.87083 1.87083i 0.267261 0.267261i
\(8\) 5.77356 + 5.53769i 0.721695 + 0.692211i
\(9\) −0.951124 + 0.951124i −0.105680 + 0.105680i
\(10\) 1.84778 + 4.37468i 0.184778 + 0.437468i
\(11\) 0.333793 0.805848i 0.0303448 0.0732589i −0.907981 0.419012i \(-0.862377\pi\)
0.938326 + 0.345753i \(0.112377\pi\)
\(12\) −11.8166 + 5.08816i −0.984717 + 0.424013i
\(13\) −0.135317 0.326684i −0.0104090 0.0251295i 0.918590 0.395213i \(-0.129329\pi\)
−0.928999 + 0.370083i \(0.879329\pi\)
\(14\) 0.0367756 + 5.29137i 0.00262683 + 0.377955i
\(15\) −7.63715 −0.509143
\(16\) −15.9938 + 0.444742i −0.999614 + 0.0277964i
\(17\) 16.7741i 0.986712i −0.869827 0.493356i \(-0.835770\pi\)
0.869827 0.493356i \(-0.164230\pi\)
\(18\) −0.0186966 2.69012i −0.00103870 0.149451i
\(19\) −19.8537 + 8.22367i −1.04493 + 0.432825i −0.838080 0.545547i \(-0.816322\pi\)
−0.206852 + 0.978372i \(0.566322\pi\)
\(20\) −8.82451 3.51234i −0.441226 0.175617i
\(21\) −7.86197 3.25654i −0.374380 0.155073i
\(22\) 0.678771 + 1.60702i 0.0308532 + 0.0730462i
\(23\) −25.3488 25.3488i −1.10212 1.10212i −0.994154 0.107968i \(-0.965566\pi\)
−0.107968 0.994154i \(-0.534434\pi\)
\(24\) 9.34908 23.9725i 0.389545 0.998854i
\(25\) 13.6910 + 13.6910i 0.547639 + 0.547639i
\(26\) 0.655233 + 0.266086i 0.0252013 + 0.0102341i
\(27\) −22.7469 9.42208i −0.842478 0.348966i
\(28\) −7.58661 7.37858i −0.270950 0.263521i
\(29\) −4.81426 + 1.99413i −0.166009 + 0.0687632i −0.464140 0.885762i \(-0.653637\pi\)
0.298131 + 0.954525i \(0.403637\pi\)
\(30\) 10.7252 10.8754i 0.357508 0.362512i
\(31\) 28.7483i 0.927366i −0.886001 0.463683i \(-0.846528\pi\)
0.886001 0.463683i \(-0.153472\pi\)
\(32\) 21.8276 23.3999i 0.682113 0.731247i
\(33\) −2.80547 −0.0850141
\(34\) 23.8865 + 23.5567i 0.702543 + 0.692845i
\(35\) −2.40410 5.80401i −0.0686886 0.165829i
\(36\) 3.85701 + 3.75125i 0.107139 + 0.104201i
\(37\) −15.4691 + 37.3456i −0.418083 + 1.00934i 0.564820 + 0.825214i \(0.308946\pi\)
−0.982903 + 0.184127i \(0.941054\pi\)
\(38\) 16.1710 39.8208i 0.425552 1.04791i
\(39\) −0.804201 + 0.804201i −0.0206205 + 0.0206205i
\(40\) 17.3943 7.63362i 0.434858 0.190840i
\(41\) 17.6512 17.6512i 0.430516 0.430516i −0.458288 0.888804i \(-0.651537\pi\)
0.888804 + 0.458288i \(0.151537\pi\)
\(42\) 15.6783 6.62219i 0.373293 0.157671i
\(43\) 3.86180 9.32321i 0.0898093 0.216819i −0.872592 0.488449i \(-0.837563\pi\)
0.962402 + 0.271630i \(0.0875628\pi\)
\(44\) −3.24164 1.29024i −0.0736736 0.0293236i
\(45\) 1.22224 + 2.95074i 0.0271608 + 0.0655721i
\(46\) 71.6955 0.498291i 1.55860 0.0108324i
\(47\) −0.603030 −0.0128304 −0.00641522 0.999979i \(-0.502042\pi\)
−0.00641522 + 0.999979i \(0.502042\pi\)
\(48\) 21.0076 + 46.9790i 0.437659 + 0.978728i
\(49\) 7.00000i 0.142857i
\(50\) −38.7230 + 0.269129i −0.774460 + 0.00538257i
\(51\) −49.8450 + 20.6465i −0.977354 + 0.404833i
\(52\) −1.29909 + 0.559378i −0.0249824 + 0.0107573i
\(53\) −12.2763 5.08500i −0.231628 0.0959434i 0.263851 0.964563i \(-0.415007\pi\)
−0.495479 + 0.868620i \(0.665007\pi\)
\(54\) 45.3618 19.1599i 0.840033 0.354813i
\(55\) −1.46449 1.46449i −0.0266271 0.0266271i
\(56\) 21.1614 0.441278i 0.377882 0.00787997i
\(57\) 48.8741 + 48.8741i 0.857440 + 0.857440i
\(58\) 3.92125 9.65600i 0.0676077 0.166483i
\(59\) −73.4795 30.4362i −1.24541 0.515868i −0.340012 0.940421i \(-0.610431\pi\)
−0.905403 + 0.424554i \(0.860431\pi\)
\(60\) 0.424611 + 30.5456i 0.00707685 + 0.509094i
\(61\) −10.6864 + 4.42646i −0.175187 + 0.0725648i −0.468553 0.883435i \(-0.655225\pi\)
0.293366 + 0.956000i \(0.405225\pi\)
\(62\) 40.9379 + 40.3727i 0.660288 + 0.651173i
\(63\) 3.55878i 0.0564886i
\(64\) 2.66802 + 63.9444i 0.0416878 + 0.999131i
\(65\) −0.839607 −0.0129170
\(66\) 3.93986 3.99501i 0.0596948 0.0605304i
\(67\) 27.8797 + 67.3075i 0.416114 + 1.00459i 0.983463 + 0.181111i \(0.0579694\pi\)
−0.567348 + 0.823478i \(0.692031\pi\)
\(68\) −67.0900 + 0.932609i −0.986617 + 0.0137148i
\(69\) −44.1245 + 106.526i −0.639485 + 1.54385i
\(70\) 11.6412 + 4.72741i 0.166302 + 0.0675344i
\(71\) −26.0262 + 26.0262i −0.366566 + 0.366566i −0.866223 0.499657i \(-0.833459\pi\)
0.499657 + 0.866223i \(0.333459\pi\)
\(72\) −10.7584 + 0.224345i −0.149422 + 0.00311590i
\(73\) 55.0444 55.0444i 0.754033 0.754033i −0.221196 0.975229i \(-0.570996\pi\)
0.975229 + 0.221196i \(0.0709962\pi\)
\(74\) −31.4565 74.4744i −0.425088 1.00641i
\(75\) 23.8318 57.5350i 0.317757 0.767133i
\(76\) 33.9953 + 78.9499i 0.447307 + 1.03881i
\(77\) −0.883134 2.13207i −0.0114693 0.0276893i
\(78\) −0.0158085 2.27457i −0.000202673 0.0291611i
\(79\) −42.0771 −0.532621 −0.266311 0.963887i \(-0.585805\pi\)
−0.266311 + 0.963887i \(0.585805\pi\)
\(80\) −13.5574 + 35.4899i −0.169467 + 0.443624i
\(81\) 91.2966i 1.12712i
\(82\) 0.346975 + 49.9238i 0.00423141 + 0.608827i
\(83\) 96.5828 40.0059i 1.16365 0.481999i 0.284560 0.958658i \(-0.408152\pi\)
0.879088 + 0.476659i \(0.158152\pi\)
\(84\) −12.5878 + 31.6259i −0.149854 + 0.376499i
\(85\) −36.7975 15.2420i −0.432912 0.179318i
\(86\) 7.85300 + 18.5923i 0.0913140 + 0.216189i
\(87\) 11.8513 + 11.8513i 0.136222 + 0.136222i
\(88\) 6.38971 2.80417i 0.0726103 0.0318656i
\(89\) 31.7987 + 31.7987i 0.357289 + 0.357289i 0.862813 0.505524i \(-0.168701\pi\)
−0.505524 + 0.862813i \(0.668701\pi\)
\(90\) −5.91833 2.40340i −0.0657592 0.0267045i
\(91\) −0.864324 0.358015i −0.00949807 0.00393423i
\(92\) −99.9761 + 102.795i −1.08670 + 1.11733i
\(93\) −85.4270 + 35.3850i −0.918570 + 0.380484i
\(94\) 0.846866 0.858720i 0.00900922 0.00913532i
\(95\) 51.0258i 0.537114i
\(96\) −96.4005 36.0599i −1.00417 0.375624i
\(97\) 76.5787 0.789472 0.394736 0.918795i \(-0.370836\pi\)
0.394736 + 0.918795i \(0.370836\pi\)
\(98\) 9.96806 + 9.83046i 0.101715 + 0.100311i
\(99\) 0.448983 + 1.08394i 0.00453518 + 0.0109489i
\(100\) 53.9974 55.5198i 0.539974 0.555198i
\(101\) −3.16067 + 7.63054i −0.0312938 + 0.0755499i −0.938754 0.344588i \(-0.888018\pi\)
0.907460 + 0.420138i \(0.138018\pi\)
\(102\) 40.5991 99.9747i 0.398031 0.980144i
\(103\) 115.509 115.509i 1.12145 1.12145i 0.129921 0.991524i \(-0.458528\pi\)
0.991524 0.129921i \(-0.0414724\pi\)
\(104\) 1.02781 2.63547i 0.00988281 0.0253411i
\(105\) −14.2878 + 14.2878i −0.136074 + 0.136074i
\(106\) 24.4813 10.3404i 0.230955 0.0975508i
\(107\) 62.4749 150.828i 0.583878 1.40961i −0.305394 0.952226i \(-0.598788\pi\)
0.889272 0.457380i \(-0.151212\pi\)
\(108\) −36.4200 + 91.5027i −0.337222 + 0.847247i
\(109\) 48.9263 + 118.119i 0.448865 + 1.08366i 0.972748 + 0.231866i \(0.0744830\pi\)
−0.523883 + 0.851790i \(0.675517\pi\)
\(110\) 4.14211 0.0287880i 0.0376555 0.000261709i
\(111\) 130.014 1.17130
\(112\) −29.0897 + 30.7537i −0.259729 + 0.274587i
\(113\) 198.203i 1.75401i −0.480482 0.877005i \(-0.659538\pi\)
0.480482 0.877005i \(-0.340462\pi\)
\(114\) −138.233 + 0.960735i −1.21257 + 0.00842750i
\(115\) −78.6415 + 32.5744i −0.683839 + 0.283255i
\(116\) 8.24342 + 19.1443i 0.0710640 + 0.165037i
\(117\) 0.439420 + 0.182014i 0.00375572 + 0.00155567i
\(118\) 146.532 61.8923i 1.24180 0.524511i
\(119\) −31.3815 31.3815i −0.263710 0.263710i
\(120\) −44.0935 42.2921i −0.367446 0.352434i
\(121\) 85.0219 + 85.0219i 0.702661 + 0.702661i
\(122\) 8.70416 21.4338i 0.0713456 0.175687i
\(123\) −74.1772 30.7252i −0.603067 0.249798i
\(124\) −114.982 + 1.59835i −0.927276 + 0.0128899i
\(125\) 97.3173 40.3101i 0.778538 0.322481i
\(126\) −5.06773 4.99778i −0.0402201 0.0396649i
\(127\) 39.9658i 0.314691i 0.987544 + 0.157346i \(0.0502936\pi\)
−0.987544 + 0.157346i \(0.949706\pi\)
\(128\) −94.8041 86.0010i −0.740657 0.671883i
\(129\) −32.4577 −0.251610
\(130\) 1.17910 1.19561i 0.00907002 0.00919698i
\(131\) −12.8494 31.0212i −0.0980871 0.236803i 0.867218 0.497929i \(-0.165906\pi\)
−0.965305 + 0.261126i \(0.915906\pi\)
\(132\) 0.155979 + 11.2208i 0.00118166 + 0.0850059i
\(133\) −21.7578 + 52.5280i −0.163592 + 0.394947i
\(134\) −134.999 54.8224i −1.00746 0.409123i
\(135\) −41.3386 + 41.3386i −0.306212 + 0.306212i
\(136\) 92.8898 96.8463i 0.683013 0.712105i
\(137\) 74.9065 74.9065i 0.546763 0.546763i −0.378740 0.925503i \(-0.623643\pi\)
0.925503 + 0.378740i \(0.123643\pi\)
\(138\) −89.7275 212.433i −0.650199 1.53937i
\(139\) 103.084 248.866i 0.741609 1.79040i 0.142402 0.989809i \(-0.454517\pi\)
0.599207 0.800594i \(-0.295483\pi\)
\(140\) −23.0801 + 9.93816i −0.164858 + 0.0709869i
\(141\) 0.742243 + 1.79193i 0.00526413 + 0.0127087i
\(142\) −0.511606 73.6114i −0.00360286 0.518390i
\(143\) −0.308425 −0.00215682
\(144\) 14.7891 15.6351i 0.102702 0.108577i
\(145\) 12.3731i 0.0853316i
\(146\) 1.08203 + 155.685i 0.00741115 + 1.06634i
\(147\) −20.8008 + 8.61598i −0.141502 + 0.0586121i
\(148\) 150.228 + 59.7939i 1.01505 + 0.404013i
\(149\) −146.387 60.6355i −0.982463 0.406949i −0.167125 0.985936i \(-0.553448\pi\)
−0.815337 + 0.578986i \(0.803448\pi\)
\(150\) 48.4621 + 114.736i 0.323081 + 0.764906i
\(151\) 178.520 + 178.520i 1.18225 + 1.18225i 0.979159 + 0.203094i \(0.0650998\pi\)
0.203094 + 0.979159i \(0.434900\pi\)
\(152\) −160.167 62.4637i −1.05373 0.410946i
\(153\) 15.9543 + 15.9543i 0.104276 + 0.104276i
\(154\) 4.27632 + 1.73659i 0.0277683 + 0.0112766i
\(155\) −63.0655 26.1226i −0.406874 0.168533i
\(156\) 3.26120 + 3.17178i 0.0209052 + 0.0203319i
\(157\) 94.7012 39.2265i 0.603192 0.249850i −0.0601224 0.998191i \(-0.519149\pi\)
0.663315 + 0.748341i \(0.269149\pi\)
\(158\) 59.0910 59.9181i 0.373994 0.379229i
\(159\) 42.7384i 0.268795i
\(160\) −31.4986 69.1461i −0.196866 0.432163i
\(161\) −94.8465 −0.589109
\(162\) −130.007 128.212i −0.802513 0.791434i
\(163\) −34.4391 83.1433i −0.211283 0.510081i 0.782338 0.622854i \(-0.214027\pi\)
−0.993621 + 0.112772i \(0.964027\pi\)
\(164\) −71.5792 69.6164i −0.436458 0.424490i
\(165\) −2.54923 + 6.15438i −0.0154499 + 0.0372993i
\(166\) −78.6674 + 193.717i −0.473900 + 1.16697i
\(167\) −1.51404 + 1.51404i −0.00906611 + 0.00906611i −0.711625 0.702559i \(-0.752041\pi\)
0.702559 + 0.711625i \(0.252041\pi\)
\(168\) −27.3579 62.3390i −0.162845 0.371065i
\(169\) 119.413 119.413i 0.706584 0.706584i
\(170\) 73.3814 30.9948i 0.431655 0.182322i
\(171\) 11.0616 26.7051i 0.0646877 0.156170i
\(172\) −37.5039 14.9274i −0.218046 0.0867869i
\(173\) 39.2972 + 94.8718i 0.227151 + 0.548392i 0.995828 0.0912450i \(-0.0290846\pi\)
−0.768677 + 0.639637i \(0.779085\pi\)
\(174\) −33.5198 + 0.232966i −0.192642 + 0.00133888i
\(175\) 51.2269 0.292725
\(176\) −4.98023 + 13.0370i −0.0282968 + 0.0740741i
\(177\) 255.810i 1.44526i
\(178\) −89.9382 + 0.625079i −0.505271 + 0.00351168i
\(179\) −171.842 + 71.1793i −0.960012 + 0.397650i −0.806985 0.590572i \(-0.798902\pi\)
−0.153027 + 0.988222i \(0.548902\pi\)
\(180\) 11.7339 5.05253i 0.0651882 0.0280696i
\(181\) −20.5449 8.50998i −0.113508 0.0470165i 0.325207 0.945643i \(-0.394566\pi\)
−0.438715 + 0.898626i \(0.644566\pi\)
\(182\) 1.72363 0.728026i 0.00947049 0.00400014i
\(183\) 26.3068 + 26.3068i 0.143753 + 0.143753i
\(184\) −5.97911 286.727i −0.0324951 1.55830i
\(185\) 67.8693 + 67.8693i 0.366861 + 0.366861i
\(186\) 69.5809 171.342i 0.374091 0.921192i
\(187\) −13.5174 5.59908i −0.0722855 0.0299416i
\(188\) 0.0335273 + 2.41189i 0.000178337 + 0.0128292i
\(189\) −60.1827 + 24.9285i −0.318427 + 0.131897i
\(190\) −72.6612 71.6582i −0.382427 0.377148i
\(191\) 164.910i 0.863404i 0.902016 + 0.431702i \(0.142087\pi\)
−0.902016 + 0.431702i \(0.857913\pi\)
\(192\) 186.730 86.6344i 0.972551 0.451221i
\(193\) −187.552 −0.971772 −0.485886 0.874022i \(-0.661503\pi\)
−0.485886 + 0.874022i \(0.661503\pi\)
\(194\) −107.543 + 109.049i −0.554347 + 0.562107i
\(195\) 1.03343 + 2.49493i 0.00529966 + 0.0127945i
\(196\) −27.9973 + 0.389187i −0.142843 + 0.00198565i
\(197\) 71.8958 173.572i 0.364953 0.881075i −0.629607 0.776914i \(-0.716784\pi\)
0.994560 0.104161i \(-0.0332158\pi\)
\(198\) −2.17407 0.882877i −0.0109801 0.00445897i
\(199\) −236.861 + 236.861i −1.19026 + 1.19026i −0.213260 + 0.976995i \(0.568408\pi\)
−0.976995 + 0.213260i \(0.931592\pi\)
\(200\) 3.22934 + 154.862i 0.0161467 + 0.774310i
\(201\) 165.691 165.691i 0.824336 0.824336i
\(202\) −6.42726 15.2168i −0.0318181 0.0753306i
\(203\) −5.27598 + 12.7373i −0.0259900 + 0.0627455i
\(204\) 85.3493 + 198.213i 0.418379 + 0.971632i
\(205\) −22.6825 54.7605i −0.110647 0.267124i
\(206\) 2.27060 + 326.701i 0.0110223 + 1.58592i
\(207\) 48.2197 0.232945
\(208\) 2.30952 + 5.16474i 0.0111035 + 0.0248305i
\(209\) 18.7441i 0.0896845i
\(210\) −0.280860 40.4110i −0.00133743 0.192433i
\(211\) −57.0854 + 23.6456i −0.270547 + 0.112064i −0.513833 0.857890i \(-0.671775\pi\)
0.243286 + 0.969955i \(0.421775\pi\)
\(212\) −19.6555 + 49.3831i −0.0927146 + 0.232939i
\(213\) 109.372 + 45.3036i 0.513486 + 0.212693i
\(214\) 127.043 + 300.780i 0.593660 + 1.40551i
\(215\) −16.9433 16.9433i −0.0788062 0.0788062i
\(216\) −79.1542 180.364i −0.366454 0.835020i
\(217\) −53.7832 53.7832i −0.247849 0.247849i
\(218\) −236.911 96.2084i −1.08675 0.441323i
\(219\) −231.319 95.8153i −1.05625 0.437513i
\(220\) −5.77597 + 5.93882i −0.0262544 + 0.0269946i
\(221\) −5.47983 + 2.26982i −0.0247956 + 0.0102707i
\(222\) −182.586 + 185.142i −0.822459 + 0.833971i
\(223\) 252.834i 1.13379i 0.823792 + 0.566893i \(0.191855\pi\)
−0.823792 + 0.566893i \(0.808145\pi\)
\(224\) −2.94148 84.6129i −0.0131316 0.377736i
\(225\) −26.0436 −0.115749
\(226\) 282.243 + 278.347i 1.24886 + 1.23162i
\(227\) 66.8039 + 161.279i 0.294290 + 0.710479i 0.999998 + 0.00197642i \(0.000629114\pi\)
−0.705708 + 0.708503i \(0.749371\pi\)
\(228\) 192.760 198.195i 0.845439 0.869275i
\(229\) 4.81730 11.6300i 0.0210362 0.0507860i −0.913012 0.407932i \(-0.866250\pi\)
0.934049 + 0.357146i \(0.116250\pi\)
\(230\) 64.0541 157.732i 0.278496 0.685791i
\(231\) −5.24854 + 5.24854i −0.0227210 + 0.0227210i
\(232\) −38.8383 15.1466i −0.167406 0.0652872i
\(233\) 172.377 172.377i 0.739815 0.739815i −0.232727 0.972542i \(-0.574765\pi\)
0.972542 + 0.232727i \(0.0747648\pi\)
\(234\) −0.876288 + 0.370126i −0.00374482 + 0.00158174i
\(235\) −0.547952 + 1.32287i −0.00233171 + 0.00562925i
\(236\) −117.648 + 295.582i −0.498507 + 1.25246i
\(237\) 51.7908 + 125.034i 0.218527 + 0.527570i
\(238\) 88.7581 0.616877i 0.372933 0.00259192i
\(239\) 163.034 0.682149 0.341075 0.940036i \(-0.389209\pi\)
0.341075 + 0.940036i \(0.389209\pi\)
\(240\) 122.147 3.39656i 0.508946 0.0141523i
\(241\) 175.777i 0.729365i −0.931132 0.364682i \(-0.881178\pi\)
0.931132 0.364682i \(-0.118822\pi\)
\(242\) −240.473 + 1.67131i −0.993688 + 0.00690623i
\(243\) 66.5697 27.5741i 0.273950 0.113474i
\(244\) 18.2983 + 42.4954i 0.0749929 + 0.174161i
\(245\) −15.3560 6.36065i −0.0626774 0.0259618i
\(246\) 147.924 62.4800i 0.601316 0.253984i
\(247\) 5.37308 + 5.37308i 0.0217534 + 0.0217534i
\(248\) 159.199 165.980i 0.641933 0.669275i
\(249\) −237.759 237.759i −0.954855 0.954855i
\(250\) −79.2656 + 195.190i −0.317063 + 0.780761i
\(251\) 154.370 + 63.9420i 0.615018 + 0.254749i 0.668372 0.743827i \(-0.266991\pi\)
−0.0533543 + 0.998576i \(0.516991\pi\)
\(252\) 14.2337 0.197861i 0.0564831 0.000785164i
\(253\) −28.8885 + 11.9660i −0.114184 + 0.0472965i
\(254\) −56.9116 56.1259i −0.224061 0.220968i
\(255\) 128.106i 0.502378i
\(256\) 255.604 14.2262i 0.998455 0.0555712i
\(257\) 69.6311 0.270938 0.135469 0.990782i \(-0.456746\pi\)
0.135469 + 0.990782i \(0.456746\pi\)
\(258\) 45.5819 46.2200i 0.176674 0.179147i
\(259\) 40.9273 + 98.8072i 0.158020 + 0.381495i
\(260\) 0.0466806 + 3.35810i 0.000179541 + 0.0129158i
\(261\) 2.68229 6.47562i 0.0102770 0.0248108i
\(262\) 62.2195 + 25.2670i 0.237479 + 0.0964390i
\(263\) 20.9352 20.9352i 0.0796014 0.0796014i −0.666185 0.745786i \(-0.732074\pi\)
0.745786 + 0.666185i \(0.232074\pi\)
\(264\) −16.1975 15.5358i −0.0613543 0.0588477i
\(265\) −22.3100 + 22.3100i −0.0841888 + 0.0841888i
\(266\) −44.2447 104.751i −0.166333 0.393801i
\(267\) 55.3518 133.631i 0.207310 0.500491i
\(268\) 267.654 115.250i 0.998708 0.430038i
\(269\) 168.969 + 407.928i 0.628139 + 1.51646i 0.841933 + 0.539583i \(0.181418\pi\)
−0.213794 + 0.976879i \(0.568582\pi\)
\(270\) −0.812609 116.920i −0.00300966 0.433039i
\(271\) 384.304 1.41809 0.709047 0.705161i \(-0.249125\pi\)
0.709047 + 0.705161i \(0.249125\pi\)
\(272\) 7.46015 + 268.282i 0.0274270 + 0.986331i
\(273\) 3.00904i 0.0110221i
\(274\) 1.47247 + 211.863i 0.00537396 + 0.773221i
\(275\) 15.6028 6.46289i 0.0567374 0.0235014i
\(276\) 428.515 + 170.558i 1.55259 + 0.617964i
\(277\) −430.107 178.156i −1.55273 0.643164i −0.568926 0.822389i \(-0.692641\pi\)
−0.983808 + 0.179225i \(0.942641\pi\)
\(278\) 209.622 + 496.287i 0.754034 + 1.78521i
\(279\) 27.3432 + 27.3432i 0.0980044 + 0.0980044i
\(280\) 18.2606 46.8230i 0.0652164 0.167225i
\(281\) −101.697 101.697i −0.361910 0.361910i 0.502606 0.864516i \(-0.332375\pi\)
−0.864516 + 0.502606i \(0.832375\pi\)
\(282\) −3.59410 1.45954i −0.0127450 0.00517568i
\(283\) −79.9520 33.1172i −0.282516 0.117022i 0.236926 0.971528i \(-0.423860\pi\)
−0.519442 + 0.854506i \(0.673860\pi\)
\(284\) 105.542 + 102.648i 0.371626 + 0.361435i
\(285\) 151.626 62.8054i 0.532020 0.220370i
\(286\) 0.433137 0.439200i 0.00151447 0.00153566i
\(287\) 66.0446i 0.230120i
\(288\) 1.49544 + 43.0170i 0.00519250 + 0.149364i
\(289\) 7.62928 0.0263989
\(290\) −17.6194 17.3762i −0.0607565 0.0599178i
\(291\) −94.2573 227.557i −0.323908 0.781984i
\(292\) −223.217 217.096i −0.764441 0.743479i
\(293\) 161.516 389.935i 0.551250 1.33083i −0.365291 0.930893i \(-0.619031\pi\)
0.916541 0.399941i \(-0.130969\pi\)
\(294\) 16.9424 41.7204i 0.0576273 0.141906i
\(295\) −133.536 + 133.536i −0.452666 + 0.452666i
\(296\) −296.120 + 129.954i −1.00041 + 0.439035i
\(297\) −15.1855 + 15.1855i −0.0511297 + 0.0511297i
\(298\) 291.924 123.303i 0.979611 0.413768i
\(299\) −4.85092 + 11.7112i −0.0162238 + 0.0391678i
\(300\) −231.443 92.1190i −0.771476 0.307063i
\(301\) −10.2174 24.6669i −0.0339447 0.0819498i
\(302\) −504.919 + 3.50924i −1.67192 + 0.0116200i
\(303\) 26.5648 0.0876728
\(304\) 313.879 140.358i 1.03250 0.461703i
\(305\) 27.4650i 0.0900493i
\(306\) −45.1244 + 0.313619i −0.147465 + 0.00102490i
\(307\) 209.762 86.8863i 0.683264 0.283017i −0.0139268 0.999903i \(-0.504433\pi\)
0.697190 + 0.716886i \(0.254433\pi\)
\(308\) −8.47837 + 3.65073i −0.0275272 + 0.0118530i
\(309\) −485.415 201.065i −1.57092 0.650697i
\(310\) 125.765 53.1205i 0.405693 0.171357i
\(311\) −334.289 334.289i −1.07488 1.07488i −0.996959 0.0779240i \(-0.975171\pi\)
−0.0779240 0.996959i \(-0.524829\pi\)
\(312\) −9.09651 + 0.189689i −0.0291555 + 0.000607979i
\(313\) −162.999 162.999i −0.520765 0.520765i 0.397038 0.917802i \(-0.370038\pi\)
−0.917802 + 0.397038i \(0.870038\pi\)
\(314\) −77.1348 + 189.943i −0.245652 + 0.604914i
\(315\) 7.80693 + 3.23374i 0.0247839 + 0.0102658i
\(316\) 2.33941 + 168.292i 0.00740318 + 0.532570i
\(317\) −165.147 + 68.4062i −0.520969 + 0.215792i −0.627643 0.778502i \(-0.715980\pi\)
0.106673 + 0.994294i \(0.465980\pi\)
\(318\) −60.8598 60.0197i −0.191383 0.188741i
\(319\) 4.54519i 0.0142482i
\(320\) 142.700 + 52.2511i 0.445937 + 0.163285i
\(321\) −525.089 −1.63579
\(322\) 133.198 135.062i 0.413658 0.419448i
\(323\) 137.945 + 333.028i 0.427074 + 1.03105i
\(324\) 365.151 5.07592i 1.12701 0.0156664i
\(325\) 2.62000 6.32524i 0.00806154 0.0194623i
\(326\) 166.761 + 67.7208i 0.511538 + 0.207733i
\(327\) 290.773 290.773i 0.889216 0.889216i
\(328\) 199.657 4.16343i 0.608709 0.0126934i
\(329\) −1.12817 + 1.12817i −0.00342908 + 0.00342908i
\(330\) −5.18388 12.2730i −0.0157087 0.0371910i
\(331\) −126.009 + 304.214i −0.380693 + 0.919075i 0.611139 + 0.791523i \(0.290712\pi\)
−0.991832 + 0.127551i \(0.959288\pi\)
\(332\) −165.378 384.070i −0.498127 1.15684i
\(333\) −20.8073 50.2333i −0.0624844 0.150851i
\(334\) −0.0297620 4.28225i −8.91079e−5 0.0128211i
\(335\) 172.986 0.516377
\(336\) 127.191 + 48.5879i 0.378545 + 0.144607i
\(337\) 134.073i 0.397844i 0.980015 + 0.198922i \(0.0637440\pi\)
−0.980015 + 0.198922i \(0.936256\pi\)
\(338\) 2.34734 + 337.742i 0.00694479 + 0.999236i
\(339\) −588.970 + 243.959i −1.73737 + 0.719644i
\(340\) −58.9164 + 148.023i −0.173283 + 0.435363i
\(341\) −23.1668 9.59600i −0.0679378 0.0281408i
\(342\) 22.4939 + 53.2551i 0.0657715 + 0.155717i
\(343\) −13.0958 13.0958i −0.0381802 0.0381802i
\(344\) 73.9253 32.4427i 0.214899 0.0943101i
\(345\) 193.593 + 193.593i 0.561138 + 0.561138i
\(346\) −190.285 77.2738i −0.549958 0.223335i
\(347\) 336.081 + 139.209i 0.968532 + 0.401179i 0.810165 0.586201i \(-0.199377\pi\)
0.158366 + 0.987380i \(0.449377\pi\)
\(348\) 46.7417 48.0596i 0.134315 0.138102i
\(349\) −620.815 + 257.150i −1.77884 + 0.736820i −0.785879 + 0.618380i \(0.787789\pi\)
−0.992961 + 0.118440i \(0.962211\pi\)
\(350\) −71.9406 + 72.9476i −0.205545 + 0.208422i
\(351\) 8.70601i 0.0248035i
\(352\) −11.5709 25.4005i −0.0328717 0.0721604i
\(353\) 156.550 0.443485 0.221743 0.975105i \(-0.428826\pi\)
0.221743 + 0.975105i \(0.428826\pi\)
\(354\) −364.276 359.247i −1.02903 1.01482i
\(355\) 33.4448 + 80.7430i 0.0942108 + 0.227445i
\(356\) 125.415 128.951i 0.352288 0.362221i
\(357\) −54.6255 + 131.878i −0.153013 + 0.369405i
\(358\) 139.967 344.665i 0.390968 0.962752i
\(359\) −400.957 + 400.957i −1.11687 + 1.11687i −0.124675 + 0.992198i \(0.539789\pi\)
−0.992198 + 0.124675i \(0.960211\pi\)
\(360\) −9.28363 + 23.8047i −0.0257879 + 0.0661241i
\(361\) 71.2752 71.2752i 0.197438 0.197438i
\(362\) 40.9705 17.3051i 0.113178 0.0478042i
\(363\) 147.997 357.296i 0.407705 0.984287i
\(364\) −1.38387 + 3.47687i −0.00380183 + 0.00955183i
\(365\) −70.7346 170.768i −0.193793 0.467859i
\(366\) −74.4052 + 0.517123i −0.203293 + 0.00141291i
\(367\) 212.537 0.579121 0.289561 0.957160i \(-0.406491\pi\)
0.289561 + 0.957160i \(0.406491\pi\)
\(368\) 416.698 + 394.150i 1.13233 + 1.07106i
\(369\) 33.5769i 0.0909942i
\(370\) −191.959 + 1.33413i −0.518807 + 0.00360576i
\(371\) −32.4800 + 13.4536i −0.0875471 + 0.0362632i
\(372\) 146.276 + 339.708i 0.393215 + 0.913193i
\(373\) −639.264 264.792i −1.71384 0.709897i −0.999954 0.00963962i \(-0.996932\pi\)
−0.713890 0.700258i \(-0.753068\pi\)
\(374\) 26.9563 11.3858i 0.0720756 0.0304433i
\(375\) −239.567 239.567i −0.638845 0.638845i
\(376\) −3.48163 3.33939i −0.00925966 0.00888137i
\(377\) 1.30290 + 1.30290i 0.00345597 + 0.00345597i
\(378\) 49.0192 120.709i 0.129680 0.319336i
\(379\) 603.746 + 250.080i 1.59300 + 0.659841i 0.990403 0.138208i \(-0.0441342\pi\)
0.602593 + 0.798049i \(0.294134\pi\)
\(380\) 204.084 2.83694i 0.537062 0.00746563i
\(381\) 118.760 49.1920i 0.311706 0.129113i
\(382\) −234.833 231.592i −0.614747 0.606261i
\(383\) 431.080i 1.12554i −0.826615 0.562768i \(-0.809736\pi\)
0.826615 0.562768i \(-0.190264\pi\)
\(384\) −138.866 + 387.570i −0.361630 + 1.00930i
\(385\) −5.47962 −0.0142328
\(386\) 263.389 267.076i 0.682355 0.691906i
\(387\) 5.19448 + 12.5406i 0.0134224 + 0.0324046i
\(388\) −4.25763 306.285i −0.0109733 0.789395i
\(389\) 107.499 259.525i 0.276347 0.667160i −0.723382 0.690448i \(-0.757413\pi\)
0.999729 + 0.0232881i \(0.00741349\pi\)
\(390\) −5.00411 2.03214i −0.0128310 0.00521062i
\(391\) −425.204 + 425.204i −1.08748 + 1.08748i
\(392\) 38.7638 40.4149i 0.0988873 0.103099i
\(393\) −76.3652 + 76.3652i −0.194314 + 0.194314i
\(394\) 146.201 + 346.136i 0.371068 + 0.878517i
\(395\) −38.2340 + 92.3049i −0.0967948 + 0.233683i
\(396\) 4.31038 1.85602i 0.0108848 0.00468692i
\(397\) 143.741 + 347.022i 0.362069 + 0.874112i 0.994997 + 0.0999013i \(0.0318527\pi\)
−0.632928 + 0.774210i \(0.718147\pi\)
\(398\) −4.65606 669.927i −0.0116986 1.68323i
\(399\) 182.870 0.458321
\(400\) −225.060 212.882i −0.562650 0.532205i
\(401\) 304.430i 0.759177i 0.925155 + 0.379589i \(0.123934\pi\)
−0.925155 + 0.379589i \(0.876066\pi\)
\(402\) 3.25706 + 468.635i 0.00810214 + 1.16576i
\(403\) −9.39161 + 3.89013i −0.0233043 + 0.00965294i
\(404\) 30.6949 + 12.2172i 0.0759776 + 0.0302407i
\(405\) 200.278 + 82.9579i 0.494514 + 0.204834i
\(406\) −10.7287 25.4007i −0.0264255 0.0625633i
\(407\) 24.9314 + 24.9314i 0.0612566 + 0.0612566i
\(408\) −402.117 156.823i −0.985582 0.384369i
\(409\) −137.631 137.631i −0.336505 0.336505i 0.518545 0.855050i \(-0.326474\pi\)
−0.855050 + 0.518545i \(0.826474\pi\)
\(410\) 109.834 + 44.6028i 0.267887 + 0.108787i
\(411\) −314.787 130.389i −0.765906 0.317249i
\(412\) −468.413 455.569i −1.13692 1.10575i
\(413\) −194.408 + 80.5266i −0.470722 + 0.194980i
\(414\) −67.7174 + 68.6653i −0.163569 + 0.165858i
\(415\) 248.227i 0.598137i
\(416\) −10.5980 3.96433i −0.0254760 0.00952963i
\(417\) −866.398 −2.07769
\(418\) −26.6917 26.3232i −0.0638558 0.0629743i
\(419\) 84.9271 + 205.032i 0.202690 + 0.489337i 0.992238 0.124352i \(-0.0396851\pi\)
−0.789548 + 0.613688i \(0.789685\pi\)
\(420\) 57.9400 + 56.3513i 0.137952 + 0.134170i
\(421\) −42.8465 + 103.441i −0.101773 + 0.245702i −0.966562 0.256434i \(-0.917452\pi\)
0.864789 + 0.502136i \(0.167452\pi\)
\(422\) 46.4965 114.497i 0.110181 0.271319i
\(423\) 0.573557 0.573557i 0.00135593 0.00135593i
\(424\) −42.7187 97.3407i −0.100752 0.229577i
\(425\) 229.654 229.654i 0.540362 0.540362i
\(426\) −218.110 + 92.1252i −0.511995 + 0.216256i
\(427\) −11.7113 + 28.2736i −0.0274269 + 0.0662145i
\(428\) −606.726 241.490i −1.41759 0.564229i
\(429\) 0.379627 + 0.916500i 0.000884911 + 0.00213636i
\(430\) 47.9218 0.333061i 0.111446 0.000774561i
\(431\) −59.4083 −0.137838 −0.0689191 0.997622i \(-0.521955\pi\)
−0.0689191 + 0.997622i \(0.521955\pi\)
\(432\) 368.000 + 140.579i 0.851853 + 0.325413i
\(433\) 225.917i 0.521747i −0.965373 0.260874i \(-0.915989\pi\)
0.965373 0.260874i \(-0.0840106\pi\)
\(434\) 152.118 1.05724i 0.350503 0.00243603i
\(435\) 36.7672 15.2295i 0.0845223 0.0350103i
\(436\) 469.708 202.253i 1.07731 0.463884i
\(437\) 711.728 + 294.807i 1.62867 + 0.674616i
\(438\) 461.294 194.841i 1.05318 0.444843i
\(439\) −447.200 447.200i −1.01868 1.01868i −0.999822 0.0188562i \(-0.993998\pi\)
−0.0188562 0.999822i \(-0.506002\pi\)
\(440\) −0.345434 16.5652i −0.000785078 0.0376482i
\(441\) 6.65787 + 6.65787i 0.0150972 + 0.0150972i
\(442\) 4.46336 10.9909i 0.0100981 0.0248664i
\(443\) 443.273 + 183.610i 1.00062 + 0.414469i 0.822023 0.569454i \(-0.192845\pi\)
0.178593 + 0.983923i \(0.442845\pi\)
\(444\) −7.22855 520.007i −0.0162805 1.17119i
\(445\) 98.6516 40.8628i 0.221689 0.0918266i
\(446\) −360.038 355.068i −0.807260 0.796116i
\(447\) 509.629i 1.14011i
\(448\) 124.620 + 114.638i 0.278170 + 0.255887i
\(449\) 854.775 1.90373 0.951866 0.306516i \(-0.0991632\pi\)
0.951866 + 0.306516i \(0.0991632\pi\)
\(450\) 36.5744 37.0863i 0.0812764 0.0824141i
\(451\) −8.33231 20.1160i −0.0184752 0.0446031i
\(452\) −792.736 + 11.0197i −1.75384 + 0.0243799i
\(453\) 310.749 750.214i 0.685980 1.65610i
\(454\) −323.478 131.363i −0.712507 0.289345i
\(455\) −1.57076 + 1.57076i −0.00345222 + 0.00345222i
\(456\) 11.5281 + 552.827i 0.0252809 + 1.21234i
\(457\) 324.480 324.480i 0.710021 0.710021i −0.256518 0.966539i \(-0.582575\pi\)
0.966539 + 0.256518i \(0.0825755\pi\)
\(458\) 9.79602 + 23.1925i 0.0213887 + 0.0506386i
\(459\) −158.047 + 381.559i −0.344329 + 0.831284i
\(460\) 134.657 + 312.725i 0.292733 + 0.679836i
\(461\) −100.109 241.684i −0.217155 0.524259i 0.777335 0.629087i \(-0.216571\pi\)
−0.994490 + 0.104827i \(0.966571\pi\)
\(462\) −0.103173 14.8448i −0.000223317 0.0321315i
\(463\) 802.486 1.73323 0.866616 0.498976i \(-0.166290\pi\)
0.866616 + 0.498976i \(0.166290\pi\)
\(464\) 76.1115 34.0349i 0.164033 0.0733510i
\(465\) 219.555i 0.472162i
\(466\) 3.38848 + 487.544i 0.00727141 + 1.04623i
\(467\) 418.346 173.285i 0.895817 0.371059i 0.113207 0.993571i \(-0.463888\pi\)
0.782610 + 0.622512i \(0.213888\pi\)
\(468\) 0.703553 1.76763i 0.00150332 0.00377699i
\(469\) 178.079 + 73.7627i 0.379699 + 0.157276i
\(470\) −1.11427 2.63807i −0.00237078 0.00561291i
\(471\) −233.127 233.127i −0.494961 0.494961i
\(472\) −255.692 582.632i −0.541720 1.23439i
\(473\) −6.22404 6.22404i −0.0131587 0.0131587i
\(474\) −250.782 101.841i −0.529076 0.214855i
\(475\) −384.407 159.226i −0.809277 0.335214i
\(476\) −123.769 + 127.259i −0.260019 + 0.267350i
\(477\) 16.5127 6.83979i 0.0346179 0.0143392i
\(478\) −228.956 + 232.161i −0.478988 + 0.485693i
\(479\) 503.112i 1.05034i −0.850998 0.525169i \(-0.824002\pi\)
0.850998 0.525169i \(-0.175998\pi\)
\(480\) −166.701 + 178.708i −0.347293 + 0.372309i
\(481\) 14.2934 0.0297161
\(482\) 250.308 + 246.852i 0.519310 + 0.512142i
\(483\) 116.742 + 281.841i 0.241703 + 0.583522i
\(484\) 335.328 344.782i 0.692826 0.712359i
\(485\) 69.5844 167.992i 0.143473 0.346374i
\(486\) −54.2215 + 133.520i −0.111567 + 0.274732i
\(487\) 153.636 153.636i 0.315475 0.315475i −0.531551 0.847026i \(-0.678391\pi\)
0.847026 + 0.531551i \(0.178391\pi\)
\(488\) −86.2110 33.6216i −0.176662 0.0688967i
\(489\) −204.675 + 204.675i −0.418558 + 0.418558i
\(490\) 30.6228 12.9344i 0.0624955 0.0263968i
\(491\) 168.070 405.757i 0.342302 0.826390i −0.655180 0.755473i \(-0.727407\pi\)
0.997482 0.0709174i \(-0.0225927\pi\)
\(492\) −118.765 + 298.389i −0.241392 + 0.606481i
\(493\) 33.4498 + 80.7549i 0.0678494 + 0.163803i
\(494\) −15.1970 + 0.105621i −0.0307632 + 0.000213807i
\(495\) 2.78582 0.00562793
\(496\) 12.7856 + 459.796i 0.0257774 + 0.927007i
\(497\) 97.3811i 0.195938i
\(498\) 672.468 4.67372i 1.35034 0.00938497i
\(499\) 37.4967 15.5317i 0.0751438 0.0311256i −0.344795 0.938678i \(-0.612052\pi\)
0.419939 + 0.907552i \(0.362052\pi\)
\(500\) −166.636 386.990i −0.333271 0.773981i
\(501\) 6.36260 + 2.63548i 0.0126998 + 0.00526043i
\(502\) −307.843 + 130.027i −0.613233 + 0.259017i
\(503\) −287.800 287.800i −0.572167 0.572167i 0.360566 0.932734i \(-0.382583\pi\)
−0.932734 + 0.360566i \(0.882583\pi\)
\(504\) −19.7074 + 20.5468i −0.0391020 + 0.0407675i
\(505\) 13.8672 + 13.8672i 0.0274598 + 0.0274598i
\(506\) 23.5299 57.9420i 0.0465018 0.114510i
\(507\) −501.820 207.861i −0.989783 0.409981i
\(508\) 159.848 2.22202i 0.314661 0.00437406i
\(509\) 693.906 287.425i 1.36327 0.564686i 0.423317 0.905982i \(-0.360866\pi\)
0.939956 + 0.341296i \(0.110866\pi\)
\(510\) −182.424 179.906i −0.357695 0.352757i
\(511\) 205.957i 0.403048i
\(512\) −338.700 + 383.961i −0.661523 + 0.749925i
\(513\) 529.095 1.03137
\(514\) −97.7864 + 99.1552i −0.190246 + 0.192909i
\(515\) −148.434 358.352i −0.288222 0.695829i
\(516\) 1.80458 + 129.818i 0.00349726 + 0.251585i
\(517\) −0.201287 + 0.485951i −0.000389337 + 0.000939943i
\(518\) −198.179 80.4792i −0.382584 0.155365i
\(519\) 233.547 233.547i 0.449994 0.449994i
\(520\) −4.84752 4.64948i −0.00932216 0.00894131i
\(521\) −166.292 + 166.292i −0.319178 + 0.319178i −0.848451 0.529273i \(-0.822465\pi\)
0.529273 + 0.848451i \(0.322465\pi\)
\(522\) 5.45446 + 12.9137i 0.0104492 + 0.0247388i
\(523\) −326.711 + 788.750i −0.624686 + 1.50813i 0.221457 + 0.975170i \(0.428919\pi\)
−0.846143 + 0.532956i \(0.821081\pi\)
\(524\) −123.358 + 53.1174i −0.235417 + 0.101369i
\(525\) −63.0529 152.223i −0.120101 0.289949i
\(526\) 0.411530 + 59.2122i 0.000782377 + 0.112571i
\(527\) −482.228 −0.915043
\(528\) 44.8701 1.24771i 0.0849812 0.00236308i
\(529\) 756.124i 1.42935i
\(530\) −0.438556 63.1008i −0.000827465 0.119058i
\(531\) 98.8367 40.9395i 0.186133 0.0770988i
\(532\) 211.301 + 84.1023i 0.397183 + 0.158087i
\(533\) −8.15484 3.37785i −0.0152999 0.00633742i
\(534\) 112.558 + 266.486i 0.210783 + 0.499038i
\(535\) −274.104 274.104i −0.512344 0.512344i
\(536\) −211.763 + 542.993i −0.395080 + 1.01305i
\(537\) 423.025 + 423.025i 0.787757 + 0.787757i
\(538\) −818.185 332.260i −1.52079 0.617584i
\(539\) −5.64093 2.33655i −0.0104656 0.00433498i
\(540\) 167.637 + 163.040i 0.310439 + 0.301926i
\(541\) 149.859 62.0738i 0.277005 0.114739i −0.239856 0.970808i \(-0.577100\pi\)
0.516861 + 0.856069i \(0.327100\pi\)
\(542\) −539.697 + 547.251i −0.995751 + 1.00969i
\(543\) 71.5247i 0.131721i
\(544\) −392.512 366.139i −0.721530 0.673049i
\(545\) 303.575 0.557019
\(546\) −4.28490 4.22575i −0.00784781 0.00773947i
\(547\) 297.772 + 718.886i 0.544373 + 1.31423i 0.921610 + 0.388117i \(0.126874\pi\)
−0.377237 + 0.926117i \(0.623126\pi\)
\(548\) −303.762 295.433i −0.554310 0.539111i
\(549\) 5.95399 14.3742i 0.0108452 0.0261825i
\(550\) −12.7086 + 31.2947i −0.0231065 + 0.0568994i
\(551\) 79.1818 79.1818i 0.143706 0.143706i
\(552\) −844.662 + 370.686i −1.53019 + 0.671533i
\(553\) −78.7190 + 78.7190i −0.142349 + 0.142349i
\(554\) 857.718 362.282i 1.54823 0.653939i
\(555\) 118.139 285.214i 0.212864 0.513899i
\(556\) −1001.10 398.458i −1.80054 0.716652i
\(557\) 345.009 + 832.926i 0.619406 + 1.49538i 0.852395 + 0.522899i \(0.175149\pi\)
−0.232989 + 0.972479i \(0.574851\pi\)
\(558\) −77.3365 + 0.537496i −0.138596 + 0.000963255i
\(559\) −3.56831 −0.00638338
\(560\) 41.0320 + 91.7591i 0.0732715 + 0.163856i
\(561\) 47.0592i 0.0838845i
\(562\) 287.635 1.99909i 0.511805 0.00355710i
\(563\) −425.585 + 176.283i −0.755923 + 0.313114i −0.727156 0.686473i \(-0.759158\pi\)
−0.0287674 + 0.999586i \(0.509158\pi\)
\(564\) 7.12577 3.06831i 0.0126343 0.00544027i
\(565\) −434.800 180.100i −0.769558 0.318761i
\(566\) 159.440 67.3441i 0.281696 0.118983i
\(567\) 170.800 + 170.800i 0.301235 + 0.301235i
\(568\) −294.389 + 6.13888i −0.518290 + 0.0108079i
\(569\) 596.225 + 596.225i 1.04785 + 1.04785i 0.998796 + 0.0490502i \(0.0156194\pi\)
0.0490502 + 0.998796i \(0.484381\pi\)
\(570\) −123.500 + 304.117i −0.216667 + 0.533538i
\(571\) 745.482 + 308.789i 1.30557 + 0.540786i 0.923589 0.383383i \(-0.125241\pi\)
0.381983 + 0.924169i \(0.375241\pi\)
\(572\) 0.0171479 + 1.23358i 2.99788e−5 + 0.00215661i
\(573\) 490.038 202.980i 0.855215 0.354242i
\(574\) 94.0480 + 92.7497i 0.163847 + 0.161585i
\(575\) 694.100i 1.20713i
\(576\) −63.3566 58.2814i −0.109994 0.101183i
\(577\) −17.8294 −0.0309002 −0.0154501 0.999881i \(-0.504918\pi\)
−0.0154501 + 0.999881i \(0.504918\pi\)
\(578\) −10.7142 + 10.8642i −0.0185367 + 0.0187961i
\(579\) 230.849 + 557.320i 0.398704 + 0.962556i
\(580\) 49.4876 0.687920i 0.0853234 0.00118607i
\(581\) 105.846 255.534i 0.182179 0.439818i
\(582\) 456.414 + 185.347i 0.784216 + 0.318466i
\(583\) −8.19547 + 8.19547i −0.0140574 + 0.0140574i
\(584\) 622.621 12.9835i 1.06613 0.0222320i
\(585\) 0.798570 0.798570i 0.00136508 0.00136508i
\(586\) 328.445 + 777.605i 0.560486 + 1.32697i
\(587\) 217.595 525.322i 0.370691 0.894927i −0.622943 0.782267i \(-0.714063\pi\)
0.993634 0.112659i \(-0.0359369\pi\)
\(588\) 35.6171 + 82.7162i 0.0605733 + 0.140674i
\(589\) 236.417 + 570.761i 0.401387 + 0.969034i
\(590\) −2.62497 377.689i −0.00444911 0.640150i
\(591\) −604.270 −1.02245
\(592\) 230.800 604.179i 0.389865 1.02057i
\(593\) 181.883i 0.306716i 0.988171 + 0.153358i \(0.0490088\pi\)
−0.988171 + 0.153358i \(0.950991\pi\)
\(594\) −0.298508 42.9501i −0.000502538 0.0723066i
\(595\) −97.3571 + 40.3266i −0.163625 + 0.0677759i
\(596\) −234.380 + 588.862i −0.393254 + 0.988024i
\(597\) 995.384 + 412.302i 1.66731 + 0.690623i
\(598\) −9.86439 23.3543i −0.0164956 0.0390541i
\(599\) 481.710 + 481.710i 0.804190 + 0.804190i 0.983747 0.179558i \(-0.0574667\pi\)
−0.179558 + 0.983747i \(0.557467\pi\)
\(600\) 456.205 200.209i 0.760342 0.333681i
\(601\) −834.807 834.807i −1.38903 1.38903i −0.827365 0.561664i \(-0.810161\pi\)
−0.561664 0.827365i \(-0.689839\pi\)
\(602\) 49.4746 + 20.0914i 0.0821837 + 0.0333744i
\(603\) −90.5348 37.5007i −0.150141 0.0621903i
\(604\) 704.087 723.937i 1.16571 1.19857i
\(605\) 263.770 109.257i 0.435983 0.180590i
\(606\) −37.3064 + 37.8286i −0.0615616 + 0.0624234i
\(607\) 397.316i 0.654557i 0.944928 + 0.327279i \(0.106132\pi\)
−0.944928 + 0.327279i \(0.893868\pi\)
\(608\) −240.926 + 644.078i −0.396260 + 1.05934i
\(609\) 44.3435 0.0728137
\(610\) −39.1105 38.5706i −0.0641155 0.0632304i
\(611\) 0.0816002 + 0.197000i 0.000133552 + 0.000322423i
\(612\) 62.9238 64.6979i 0.102817 0.105715i
\(613\) −174.226 + 420.618i −0.284218 + 0.686163i −0.999925 0.0122376i \(-0.996105\pi\)
0.715707 + 0.698401i \(0.246105\pi\)
\(614\) −170.853 + 420.722i −0.278262 + 0.685214i
\(615\) −134.804 + 134.804i −0.219194 + 0.219194i
\(616\) 6.70793 17.2002i 0.0108895 0.0279224i
\(617\) −782.576 + 782.576i −1.26836 + 1.26836i −0.321420 + 0.946937i \(0.604160\pi\)
−0.946937 + 0.321420i \(0.895840\pi\)
\(618\) 968.011 408.868i 1.56636 0.661599i
\(619\) 400.709 967.398i 0.647350 1.56284i −0.169211 0.985580i \(-0.554122\pi\)
0.816560 0.577260i \(-0.195878\pi\)
\(620\) −100.974 + 253.690i −0.162861 + 0.409178i
\(621\) 337.769 + 815.446i 0.543911 + 1.31312i
\(622\) 945.488 6.57124i 1.52008 0.0105647i
\(623\) 118.980 0.190979
\(624\) 12.5046 13.2199i 0.0200394 0.0211857i
\(625\) 233.935i 0.374296i
\(626\) 461.021 3.20414i 0.736455 0.00511843i
\(627\) 55.6989 23.0712i 0.0888339 0.0367962i
\(628\) −162.156 376.587i −0.258210 0.599661i
\(629\) 626.439 + 259.480i 0.995929 + 0.412527i
\(630\) −15.5685 + 6.57583i −0.0247120 + 0.0104378i
\(631\) −301.421 301.421i −0.477688 0.477688i 0.426703 0.904392i \(-0.359675\pi\)
−0.904392 + 0.426703i \(0.859675\pi\)
\(632\) −242.935 233.010i −0.384390 0.368686i
\(633\) 140.528 + 140.528i 0.222003 + 0.222003i
\(634\) 134.514 331.237i 0.212167 0.522456i
\(635\) 87.6733 + 36.3155i 0.138068 + 0.0571897i
\(636\) 170.937 2.37617i 0.268769 0.00373612i
\(637\) −2.28679 + 0.947218i −0.00358993 + 0.00148700i
\(638\) −6.47238 6.38304i −0.0101448 0.0100048i
\(639\) 49.5082i 0.0774777i
\(640\) −274.806 + 129.827i −0.429385 + 0.202854i
\(641\) −1235.67 −1.92773 −0.963864 0.266395i \(-0.914167\pi\)
−0.963864 + 0.266395i \(0.914167\pi\)
\(642\) 737.410 747.732i 1.14861 1.16469i
\(643\) 33.1893 + 80.1260i 0.0516163 + 0.124613i 0.947584 0.319506i \(-0.103517\pi\)
−0.895968 + 0.444119i \(0.853517\pi\)
\(644\) 5.27329 + 379.350i 0.00818833 + 0.589052i
\(645\) −29.4931 + 71.2027i −0.0457258 + 0.110392i
\(646\) −667.958 271.254i −1.03399 0.419898i
\(647\) −497.471 + 497.471i −0.768888 + 0.768888i −0.977911 0.209023i \(-0.932972\pi\)
0.209023 + 0.977911i \(0.432972\pi\)
\(648\) −505.572 + 527.106i −0.780203 + 0.813436i
\(649\) −49.0539 + 49.0539i −0.0755838 + 0.0755838i
\(650\) 5.32779 + 12.6138i 0.00819660 + 0.0194058i
\(651\) −93.6200 + 226.019i −0.143810 + 0.347187i
\(652\) −330.626 + 142.366i −0.507095 + 0.218352i
\(653\) −267.649 646.162i −0.409876 0.989528i −0.985170 0.171581i \(-0.945112\pi\)
0.575294 0.817947i \(-0.304888\pi\)
\(654\) 5.71584 + 822.412i 0.00873982 + 1.25751i
\(655\) −79.7274 −0.121721
\(656\) −274.459 + 290.160i −0.418383 + 0.442316i
\(657\) 104.708i 0.159373i
\(658\) −0.0221768 3.19086i −3.37033e−5 0.00484933i
\(659\) 252.729 104.684i 0.383503 0.158852i −0.182599 0.983188i \(-0.558451\pi\)
0.566102 + 0.824335i \(0.308451\pi\)
\(660\) 24.7569 + 9.85375i 0.0375104 + 0.0149299i
\(661\) 644.295 + 266.876i 0.974728 + 0.403745i 0.812470 0.583003i \(-0.198122\pi\)
0.162258 + 0.986748i \(0.448122\pi\)
\(662\) −256.241 606.661i −0.387071 0.916407i
\(663\) 13.4897 + 13.4897i 0.0203465 + 0.0203465i
\(664\) 779.167 + 303.869i 1.17344 + 0.457634i
\(665\) 95.4606 + 95.4606i 0.143550 + 0.143550i
\(666\) 100.753 + 40.9154i 0.151281 + 0.0614345i
\(667\) 172.585 + 71.4869i 0.258747 + 0.107177i
\(668\) 6.13975 + 5.97140i 0.00919125 + 0.00893922i
\(669\) 751.308 311.202i 1.12303 0.465175i
\(670\) −242.934 + 246.334i −0.362587 + 0.367663i
\(671\) 10.0891i 0.0150360i
\(672\) −247.811 + 112.887i −0.368766 + 0.167987i
\(673\) −849.641 −1.26247 −0.631234 0.775592i \(-0.717451\pi\)
−0.631234 + 0.775592i \(0.717451\pi\)
\(674\) −190.922 188.286i −0.283266 0.279356i
\(675\) −182.430 440.425i −0.270267 0.652481i
\(676\) −484.244 470.965i −0.716337 0.696694i
\(677\) −149.170 + 360.128i −0.220340 + 0.531947i −0.994936 0.100509i \(-0.967953\pi\)
0.774597 + 0.632456i \(0.217953\pi\)
\(678\) 479.720 1181.30i 0.707552 1.74233i
\(679\) 143.266 143.266i 0.210995 0.210995i
\(680\) −128.047 291.774i −0.188305 0.429080i
\(681\) 397.022 397.022i 0.582998 0.582998i
\(682\) 46.1991 19.5135i 0.0677406 0.0286122i
\(683\) −58.5669 + 141.393i −0.0857494 + 0.207017i −0.960938 0.276765i \(-0.910738\pi\)
0.875188 + 0.483783i \(0.160738\pi\)
\(684\) −107.425 42.7574i −0.157054 0.0625108i
\(685\) −96.2583 232.388i −0.140523 0.339253i
\(686\) 37.0396 0.257429i 0.0539936 0.000375261i
\(687\) −40.4885 −0.0589352
\(688\) −57.6185 + 150.831i −0.0837478 + 0.219231i
\(689\) 4.69854i 0.00681937i
\(690\) −547.549 + 3.80552i −0.793549 + 0.00551525i
\(691\) −584.351 + 242.046i −0.845659 + 0.350284i −0.763082 0.646301i \(-0.776315\pi\)
−0.0825768 + 0.996585i \(0.526315\pi\)
\(692\) 377.266 162.448i 0.545182 0.234752i
\(693\) 2.86784 + 1.18790i 0.00413829 + 0.00171414i
\(694\) −670.210 + 283.083i −0.965720 + 0.407901i
\(695\) −452.271 452.271i −0.650750 0.650750i
\(696\) 2.79541 + 134.053i 0.00401639 + 0.192605i
\(697\) −296.082 296.082i −0.424795 0.424795i
\(698\) 505.659 1245.18i 0.724439 1.78392i
\(699\) −724.397 300.055i −1.03633 0.429263i
\(700\) −2.84812 204.888i −0.00406874 0.292697i
\(701\) −779.866 + 323.031i −1.11250 + 0.460815i −0.861800 0.507249i \(-0.830663\pi\)
−0.250705 + 0.968063i \(0.580663\pi\)
\(702\) −12.3974 12.2263i −0.0176602 0.0174164i
\(703\) 868.661i 1.23565i
\(704\) 52.4200 + 19.1942i 0.0744602 + 0.0272644i
\(705\) 4.60543 0.00653253
\(706\) −219.851 + 222.929i −0.311404 + 0.315763i
\(707\) 8.36236 + 20.1885i 0.0118279 + 0.0285552i
\(708\) 1023.14 14.2226i 1.44512 0.0200884i
\(709\) 146.369 353.367i 0.206445 0.498402i −0.786414 0.617700i \(-0.788064\pi\)
0.992858 + 0.119298i \(0.0380644\pi\)
\(710\) −161.947 65.7657i −0.228094 0.0926278i
\(711\) 40.0205 40.0205i 0.0562877 0.0562877i
\(712\) 7.50047 + 359.683i 0.0105344 + 0.505173i
\(713\) −728.736 + 728.736i −1.02207 + 1.02207i
\(714\) −111.081 262.990i −0.155576 0.368333i
\(715\) −0.280255 + 0.676596i −0.000391965 + 0.000946288i
\(716\) 294.244 + 683.345i 0.410955 + 0.954392i
\(717\) −200.671 484.462i −0.279875 0.675679i
\(718\) −7.88177 1134.05i −0.0109774 1.57946i
\(719\) −1364.51 −1.89779 −0.948893 0.315598i \(-0.897795\pi\)
−0.948893 + 0.315598i \(0.897795\pi\)
\(720\) −20.8606 46.6501i −0.0289730 0.0647918i
\(721\) 432.195i 0.599438i
\(722\) 1.40108 + 201.592i 0.00194056 + 0.279213i
\(723\) −522.329 + 216.356i −0.722447 + 0.299247i
\(724\) −32.8944 + 82.6448i −0.0454342 + 0.114150i
\(725\) −93.2135 38.6103i −0.128570 0.0532556i
\(726\) 300.953 + 712.518i 0.414536 + 0.981430i
\(727\) 362.040 + 362.040i 0.497992 + 0.497992i 0.910813 0.412820i \(-0.135456\pi\)
−0.412820 + 0.910813i \(0.635456\pi\)
\(728\) −3.00765 6.85338i −0.00413139 0.00941398i
\(729\) 417.132 + 417.132i 0.572198 + 0.572198i
\(730\) 342.512 + 139.092i 0.469194 + 0.190537i
\(731\) −156.388 64.7782i −0.213938 0.0886159i
\(732\) 103.755 106.680i 0.141741 0.145737i
\(733\) −460.885 + 190.905i −0.628766 + 0.260443i −0.674229 0.738523i \(-0.735524\pi\)
0.0454627 + 0.998966i \(0.485524\pi\)
\(734\) −298.477 + 302.655i −0.406645 + 0.412337i
\(735\) 53.4600i 0.0727347i
\(736\) −1146.46 + 39.8556i −1.55769 + 0.0541516i
\(737\) 63.5456 0.0862220
\(738\) −47.8137 47.1537i −0.0647883 0.0638939i
\(739\) −339.313 819.175i −0.459152 1.10849i −0.968741 0.248073i \(-0.920203\pi\)
0.509589 0.860418i \(-0.329797\pi\)
\(740\) 267.678 275.224i 0.361726 0.371925i
\(741\) 9.35288 22.5798i 0.0126220 0.0304721i
\(742\) 26.4552 65.1454i 0.0356539 0.0877970i
\(743\) 994.064 994.064i 1.33791 1.33791i 0.439821 0.898086i \(-0.355042\pi\)
0.898086 0.439821i \(-0.144958\pi\)
\(744\) −689.169 268.771i −0.926303 0.361251i
\(745\) −266.033 + 266.033i −0.357092 + 0.357092i
\(746\) 1274.82 538.456i 1.70887 0.721791i
\(747\) −53.8117 + 129.913i −0.0720370 + 0.173913i
\(748\) −21.6426 + 54.3756i −0.0289340 + 0.0726946i
\(749\) −165.293 399.053i −0.220685 0.532781i
\(750\) 677.581 4.70926i 0.903442 0.00627901i
\(751\) −200.166 −0.266533 −0.133267 0.991080i \(-0.542547\pi\)
−0.133267 + 0.991080i \(0.542547\pi\)
\(752\) 9.64476 0.268193i 0.0128255 0.000356639i
\(753\) 537.419i 0.713705i
\(754\) −3.68507 + 0.0256116i −0.00488736 + 3.39676e-5i
\(755\) 553.837 229.407i 0.733559 0.303850i
\(756\) 103.050 + 239.321i 0.136310 + 0.316563i
\(757\) −905.427 375.040i −1.19607 0.495429i −0.306345