Properties

Label 177.2.f.a.83.4
Level $177$
Weight $2$
Character 177.83
Analytic conductor $1.413$
Analytic rank $0$
Dimension $504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(504\)
Relative dimension: \(18\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 83.4
Character \(\chi\) \(=\) 177.83
Dual form 177.2.f.a.32.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.487885 - 1.75720i) q^{2} +(1.13622 - 1.30729i) q^{3} +(-1.13602 + 0.683518i) q^{4} +(-0.529541 + 0.0287109i) q^{5} +(-2.85152 - 1.35876i) q^{6} +(0.0261422 + 0.159460i) q^{7} +(-0.892635 - 0.845549i) q^{8} +(-0.418004 - 2.97074i) q^{9} +O(q^{10})\) \(q+(-0.487885 - 1.75720i) q^{2} +(1.13622 - 1.30729i) q^{3} +(-1.13602 + 0.683518i) q^{4} +(-0.529541 + 0.0287109i) q^{5} +(-2.85152 - 1.35876i) q^{6} +(0.0261422 + 0.159460i) q^{7} +(-0.892635 - 0.845549i) q^{8} +(-0.418004 - 2.97074i) q^{9} +(0.308806 + 0.916503i) q^{10} +(-0.214767 - 0.405094i) q^{11} +(-0.397210 + 2.26173i) q^{12} +(1.99544 + 0.795056i) q^{13} +(0.267450 - 0.123735i) q^{14} +(-0.564142 + 0.724884i) q^{15} +(-2.29232 + 4.32378i) q^{16} +(2.58024 + 0.423008i) q^{17} +(-5.01625 + 2.18390i) q^{18} +(-0.426347 + 0.501935i) q^{19} +(0.581943 - 0.394567i) q^{20} +(0.238164 + 0.147007i) q^{21} +(-0.607050 + 0.575029i) q^{22} +(4.86969 + 3.70184i) q^{23} +(-2.11961 + 0.206201i) q^{24} +(-4.69110 + 0.510188i) q^{25} +(0.423529 - 3.89429i) q^{26} +(-4.35855 - 2.82896i) q^{27} +(-0.138692 - 0.163281i) q^{28} +(4.99162 + 1.38592i) q^{29} +(1.54901 + 0.637652i) q^{30} +(3.15514 - 2.68000i) q^{31} +(6.31458 + 1.38994i) q^{32} +(-0.773597 - 0.179514i) q^{33} +(-0.515547 - 4.74038i) q^{34} +(-0.0184216 - 0.0836902i) q^{35} +(2.50541 + 3.08909i) q^{36} +(-0.125378 - 0.132360i) q^{37} +(1.09001 + 0.504292i) q^{38} +(3.30663 - 1.70525i) q^{39} +(0.496963 + 0.422124i) q^{40} +(-4.26748 - 5.61378i) q^{41} +(0.142124 - 0.490225i) q^{42} +(5.67103 + 3.00659i) q^{43} +(0.520868 + 0.313396i) q^{44} +(0.306643 + 1.56113i) q^{45} +(4.12904 - 10.3631i) q^{46} +(-0.327397 + 6.03848i) q^{47} +(3.04784 + 7.90950i) q^{48} +(6.60883 - 2.22677i) q^{49} +(3.18522 + 7.99430i) q^{50} +(3.48471 - 2.89248i) q^{51} +(-2.81029 + 0.460723i) q^{52} +(2.13748 - 6.34383i) q^{53} +(-2.84459 + 9.03907i) q^{54} +(0.125359 + 0.208348i) q^{55} +(0.111496 - 0.164444i) q^{56} +(0.171749 + 1.12767i) q^{57} -9.44746i q^{58} +(1.40180 + 7.55215i) q^{59} +(0.145403 - 1.20908i) q^{60} +(-7.50451 + 2.08362i) q^{61} +(-6.24866 - 4.23670i) q^{62} +(0.462787 - 0.144317i) q^{63} +(-0.108479 - 2.00077i) q^{64} +(-1.07949 - 0.363724i) q^{65} +(0.0619847 + 1.44695i) q^{66} +(-2.85675 + 3.01583i) q^{67} +(-3.22033 + 1.28309i) q^{68} +(10.3724 - 2.15998i) q^{69} +(-0.138073 + 0.0732017i) q^{70} +(-7.34604 - 0.398291i) q^{71} +(-2.13878 + 3.00523i) q^{72} +(0.944091 + 2.04062i) q^{73} +(-0.171413 + 0.284891i) q^{74} +(-4.66316 + 6.71231i) q^{75} +(0.141256 - 0.861622i) q^{76} +(0.0589819 - 0.0448369i) q^{77} +(-4.60973 - 4.97845i) q^{78} +(-3.58862 - 5.29282i) q^{79} +(1.08974 - 2.35543i) q^{80} +(-8.65055 + 2.48356i) q^{81} +(-7.78251 + 10.2377i) q^{82} +(-14.1139 + 3.10671i) q^{83} +(-0.371040 - 0.00421273i) q^{84} +(-1.37849 - 0.149919i) q^{85} +(2.51638 - 11.4320i) q^{86} +(7.48338 - 4.95078i) q^{87} +(-0.150818 + 0.543197i) q^{88} +(1.67499 - 6.03277i) q^{89} +(2.59361 - 1.30048i) q^{90} +(-0.0746147 + 0.338978i) q^{91} +(-8.06232 - 0.876830i) q^{92} +(0.0814044 - 7.16976i) q^{93} +(10.7706 - 2.37078i) q^{94} +(0.211357 - 0.278036i) q^{95} +(8.99182 - 6.67569i) q^{96} +(-7.32236 + 15.8270i) q^{97} +(-7.13724 - 10.5266i) q^{98} +(-1.11365 + 0.807347i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} + O(q^{10}) \) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} - 58q^{10} - 15q^{12} - 58q^{13} - 38q^{15} - 66q^{16} - 29q^{18} - 66q^{19} - 24q^{21} - 62q^{22} - 29q^{24} - 20q^{25} - 54q^{27} - 26q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 13q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} - q^{45} - 46q^{46} + 147q^{48} - 48q^{49} + 59q^{51} - 58q^{52} + 174q^{54} - 58q^{55} + 83q^{57} + 250q^{60} - 58q^{61} + 82q^{63} + 10q^{64} + 226q^{66} - 58q^{67} + 87q^{69} - 58q^{70} + 145q^{72} - 58q^{73} - 28q^{75} - 150q^{76} - 13q^{78} - 30q^{79} + 13q^{81} - 58q^{82} - 69q^{84} - 86q^{85} - 36q^{87} + 22q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 162q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{53}{58}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.487885 1.75720i −0.344987 1.24253i −0.909011 0.416772i \(-0.863161\pi\)
0.564024 0.825758i \(-0.309252\pi\)
\(3\) 1.13622 1.30729i 0.655997 0.754763i
\(4\) −1.13602 + 0.683518i −0.568008 + 0.341759i
\(5\) −0.529541 + 0.0287109i −0.236818 + 0.0128399i −0.172166 0.985068i \(-0.555077\pi\)
−0.0646520 + 0.997908i \(0.520594\pi\)
\(6\) −2.85152 1.35876i −1.16413 0.554713i
\(7\) 0.0261422 + 0.159460i 0.00988082 + 0.0602703i 0.991307 0.131571i \(-0.0420023\pi\)
−0.981426 + 0.191842i \(0.938554\pi\)
\(8\) −0.892635 0.845549i −0.315594 0.298947i
\(9\) −0.418004 2.97074i −0.139335 0.990245i
\(10\) 0.308806 + 0.916503i 0.0976530 + 0.289824i
\(11\) −0.214767 0.405094i −0.0647547 0.122140i 0.849022 0.528358i \(-0.177192\pi\)
−0.913776 + 0.406218i \(0.866847\pi\)
\(12\) −0.397210 + 2.26173i −0.114665 + 0.652905i
\(13\) 1.99544 + 0.795056i 0.553435 + 0.220509i 0.630053 0.776552i \(-0.283033\pi\)
−0.0766182 + 0.997061i \(0.524412\pi\)
\(14\) 0.267450 0.123735i 0.0714789 0.0330697i
\(15\) −0.564142 + 0.724884i −0.145661 + 0.187164i
\(16\) −2.29232 + 4.32378i −0.573081 + 1.08095i
\(17\) 2.58024 + 0.423008i 0.625799 + 0.102595i 0.466334 0.884609i \(-0.345575\pi\)
0.159466 + 0.987203i \(0.449023\pi\)
\(18\) −5.01625 + 2.18390i −1.18234 + 0.514749i
\(19\) −0.426347 + 0.501935i −0.0978107 + 0.115152i −0.808890 0.587961i \(-0.799931\pi\)
0.711079 + 0.703112i \(0.248207\pi\)
\(20\) 0.581943 0.394567i 0.130126 0.0882279i
\(21\) 0.238164 + 0.147007i 0.0519716 + 0.0320795i
\(22\) −0.607050 + 0.575029i −0.129424 + 0.122597i
\(23\) 4.86969 + 3.70184i 1.01540 + 0.771887i 0.973837 0.227249i \(-0.0729730\pi\)
0.0415634 + 0.999136i \(0.486766\pi\)
\(24\) −2.11961 + 0.206201i −0.432663 + 0.0420906i
\(25\) −4.69110 + 0.510188i −0.938220 + 0.102038i
\(26\) 0.423529 3.89429i 0.0830609 0.763733i
\(27\) −4.35855 2.82896i −0.838804 0.544434i
\(28\) −0.138692 0.163281i −0.0262103 0.0308572i
\(29\) 4.99162 + 1.38592i 0.926921 + 0.257358i 0.698009 0.716089i \(-0.254069\pi\)
0.228912 + 0.973447i \(0.426483\pi\)
\(30\) 1.54901 + 0.637652i 0.282808 + 0.116419i
\(31\) 3.15514 2.68000i 0.566681 0.481343i −0.317647 0.948209i \(-0.602893\pi\)
0.884328 + 0.466866i \(0.154617\pi\)
\(32\) 6.31458 + 1.38994i 1.11627 + 0.245710i
\(33\) −0.773597 0.179514i −0.134666 0.0312493i
\(34\) −0.515547 4.74038i −0.0884156 0.812968i
\(35\) −0.0184216 0.0836902i −0.00311382 0.0141462i
\(36\) 2.50541 + 3.08909i 0.417569 + 0.514849i
\(37\) −0.125378 0.132360i −0.0206120 0.0217598i 0.715608 0.698502i \(-0.246150\pi\)
−0.736220 + 0.676742i \(0.763391\pi\)
\(38\) 1.09001 + 0.504292i 0.176823 + 0.0818070i
\(39\) 3.30663 1.70525i 0.529484 0.273059i
\(40\) 0.496963 + 0.422124i 0.0785768 + 0.0667437i
\(41\) −4.26748 5.61378i −0.666469 0.876725i 0.331297 0.943526i \(-0.392514\pi\)
−0.997766 + 0.0668015i \(0.978721\pi\)
\(42\) 0.142124 0.490225i 0.0219302 0.0756433i
\(43\) 5.67103 + 3.00659i 0.864824 + 0.458500i 0.840886 0.541213i \(-0.182035\pi\)
0.0239380 + 0.999713i \(0.492380\pi\)
\(44\) 0.520868 + 0.313396i 0.0785238 + 0.0472462i
\(45\) 0.306643 + 1.56113i 0.0457116 + 0.232719i
\(46\) 4.12904 10.3631i 0.608793 1.52796i
\(47\) −0.327397 + 6.03848i −0.0477557 + 0.880802i 0.872289 + 0.488990i \(0.162635\pi\)
−0.920045 + 0.391812i \(0.871848\pi\)
\(48\) 3.04784 + 7.90950i 0.439918 + 1.14164i
\(49\) 6.60883 2.22677i 0.944118 0.318110i
\(50\) 3.18522 + 7.99430i 0.450458 + 1.13057i
\(51\) 3.48471 2.89248i 0.487957 0.405028i
\(52\) −2.81029 + 0.460723i −0.389717 + 0.0638908i
\(53\) 2.13748 6.34383i 0.293606 0.871392i −0.694752 0.719249i \(-0.744486\pi\)
0.988359 0.152143i \(-0.0486174\pi\)
\(54\) −2.84459 + 9.03907i −0.387099 + 1.23006i
\(55\) 0.125359 + 0.208348i 0.0169033 + 0.0280936i
\(56\) 0.111496 0.164444i 0.0148993 0.0219748i
\(57\) 0.171749 + 1.12767i 0.0227487 + 0.149363i
\(58\) 9.44746i 1.24051i
\(59\) 1.40180 + 7.55215i 0.182499 + 0.983206i
\(60\) 0.145403 1.20908i 0.0187714 0.156092i
\(61\) −7.50451 + 2.08362i −0.960853 + 0.266780i −0.712329 0.701846i \(-0.752359\pi\)
−0.248525 + 0.968626i \(0.579946\pi\)
\(62\) −6.24866 4.23670i −0.793580 0.538061i
\(63\) 0.462787 0.144317i 0.0583057 0.0181822i
\(64\) −0.108479 2.00077i −0.0135598 0.250097i
\(65\) −1.07949 0.363724i −0.133895 0.0451144i
\(66\) 0.0619847 + 1.44695i 0.00762979 + 0.178107i
\(67\) −2.85675 + 3.01583i −0.349007 + 0.368442i −0.876737 0.480970i \(-0.840285\pi\)
0.527730 + 0.849412i \(0.323043\pi\)
\(68\) −3.22033 + 1.28309i −0.390522 + 0.155598i
\(69\) 10.3724 2.15998i 1.24869 0.260031i
\(70\) −0.138073 + 0.0732017i −0.0165029 + 0.00874928i
\(71\) −7.34604 0.398291i −0.871814 0.0472684i −0.387199 0.921996i \(-0.626558\pi\)
−0.484615 + 0.874728i \(0.661040\pi\)
\(72\) −2.13878 + 3.00523i −0.252057 + 0.354169i
\(73\) 0.944091 + 2.04062i 0.110498 + 0.238837i 0.954933 0.296820i \(-0.0959262\pi\)
−0.844436 + 0.535657i \(0.820064\pi\)
\(74\) −0.171413 + 0.284891i −0.0199264 + 0.0331179i
\(75\) −4.66316 + 6.71231i −0.538456 + 0.775070i
\(76\) 0.141256 0.861622i 0.0162032 0.0988348i
\(77\) 0.0589819 0.0448369i 0.00672161 0.00510963i
\(78\) −4.60973 4.97845i −0.521949 0.563698i
\(79\) −3.58862 5.29282i −0.403751 0.595488i 0.570405 0.821363i \(-0.306786\pi\)
−0.974156 + 0.225875i \(0.927476\pi\)
\(80\) 1.08974 2.35543i 0.121837 0.263346i
\(81\) −8.65055 + 2.48356i −0.961172 + 0.275951i
\(82\) −7.78251 + 10.2377i −0.859434 + 1.13057i
\(83\) −14.1139 + 3.10671i −1.54920 + 0.341005i −0.905526 0.424291i \(-0.860523\pi\)
−0.643678 + 0.765297i \(0.722592\pi\)
\(84\) −0.371040 0.00421273i −0.0404838 0.000459647i
\(85\) −1.37849 0.149919i −0.149518 0.0162610i
\(86\) 2.51638 11.4320i 0.271348 1.23275i
\(87\) 7.48338 4.95078i 0.802302 0.530779i
\(88\) −0.150818 + 0.543197i −0.0160772 + 0.0579050i
\(89\) 1.67499 6.03277i 0.177549 0.639473i −0.820180 0.572106i \(-0.806127\pi\)
0.997728 0.0673665i \(-0.0214597\pi\)
\(90\) 2.59361 1.30048i 0.273390 0.137083i
\(91\) −0.0746147 + 0.338978i −0.00782174 + 0.0355345i
\(92\) −8.06232 0.876830i −0.840555 0.0914159i
\(93\) 0.0814044 7.16976i 0.00844124 0.743469i
\(94\) 10.7706 2.37078i 1.11090 0.244527i
\(95\) 0.211357 0.278036i 0.0216848 0.0285259i
\(96\) 8.99182 6.67569i 0.917724 0.681335i
\(97\) −7.32236 + 15.8270i −0.743473 + 1.60699i 0.0502690 + 0.998736i \(0.483992\pi\)
−0.793742 + 0.608255i \(0.791870\pi\)
\(98\) −7.13724 10.5266i −0.720970 1.06335i
\(99\) −1.11365 + 0.807347i −0.111926 + 0.0811414i
\(100\) 4.98044 3.78604i 0.498044 0.378604i
\(101\) 1.30685 7.97145i 0.130037 0.793189i −0.838607 0.544736i \(-0.816630\pi\)
0.968644 0.248453i \(-0.0799220\pi\)
\(102\) −6.78282 4.71215i −0.671599 0.466572i
\(103\) −5.17630 + 8.60308i −0.510036 + 0.847687i −0.999707 0.0242210i \(-0.992289\pi\)
0.489671 + 0.871908i \(0.337117\pi\)
\(104\) −1.10894 2.39694i −0.108741 0.235039i
\(105\) −0.130338 0.0710082i −0.0127197 0.00692969i
\(106\) −12.1902 0.660936i −1.18402 0.0641958i
\(107\) −13.1972 + 6.99671i −1.27582 + 0.676398i −0.961991 0.273081i \(-0.911957\pi\)
−0.313831 + 0.949479i \(0.601612\pi\)
\(108\) 6.88503 + 0.234596i 0.662513 + 0.0225740i
\(109\) 9.45325 3.76652i 0.905457 0.360767i 0.129520 0.991577i \(-0.458656\pi\)
0.775938 + 0.630810i \(0.217277\pi\)
\(110\) 0.304948 0.321930i 0.0290757 0.0306948i
\(111\) −0.315489 + 0.0135150i −0.0299449 + 0.00128279i
\(112\) −0.749398 0.252502i −0.0708115 0.0238592i
\(113\) 1.03243 + 19.0420i 0.0971228 + 1.79132i 0.489989 + 0.871729i \(0.337001\pi\)
−0.392866 + 0.919596i \(0.628516\pi\)
\(114\) 1.89775 0.851969i 0.177740 0.0797942i
\(115\) −2.68498 1.82046i −0.250376 0.169759i
\(116\) −6.61786 + 1.83744i −0.614453 + 0.170602i
\(117\) 1.52780 6.26026i 0.141245 0.578761i
\(118\) 12.5867 6.14783i 1.15870 0.565953i
\(119\) 0.422504i 0.0387308i
\(120\) 1.11650 0.170048i 0.101922 0.0155231i
\(121\) 6.05508 8.93058i 0.550462 0.811871i
\(122\) 7.32267 + 12.1704i 0.662964 + 1.10185i
\(123\) −12.1876 0.799663i −1.09892 0.0721032i
\(124\) −1.75246 + 5.20113i −0.157376 + 0.467075i
\(125\) 5.08614 0.833831i 0.454919 0.0745801i
\(126\) −0.479380 0.742801i −0.0427066 0.0661739i
\(127\) 2.55608 + 6.41527i 0.226815 + 0.569264i 0.997705 0.0677046i \(-0.0215676\pi\)
−0.770890 + 0.636968i \(0.780188\pi\)
\(128\) 8.79173 2.96228i 0.777087 0.261831i
\(129\) 10.3740 3.99752i 0.913381 0.351962i
\(130\) −0.112468 + 2.07434i −0.00986407 + 0.181932i
\(131\) −4.57941 + 11.4935i −0.400105 + 1.00419i 0.581548 + 0.813512i \(0.302447\pi\)
−0.981653 + 0.190676i \(0.938932\pi\)
\(132\) 1.00152 0.324838i 0.0871711 0.0282735i
\(133\) −0.0911843 0.0548638i −0.00790668 0.00475729i
\(134\) 6.69319 + 3.54850i 0.578204 + 0.306544i
\(135\) 2.38925 + 1.37291i 0.205634 + 0.118162i
\(136\) −1.94554 2.55931i −0.166828 0.219459i
\(137\) −9.79220 8.31757i −0.836604 0.710618i 0.122868 0.992423i \(-0.460791\pi\)
−0.959472 + 0.281805i \(0.909067\pi\)
\(138\) −8.85606 17.1726i −0.753878 1.46183i
\(139\) 12.5141 + 5.78962i 1.06143 + 0.491069i 0.871331 0.490696i \(-0.163257\pi\)
0.190098 + 0.981765i \(0.439120\pi\)
\(140\) 0.0781310 + 0.0824819i 0.00660328 + 0.00697100i
\(141\) 7.52203 + 7.28904i 0.633469 + 0.613848i
\(142\) 2.88414 + 13.1028i 0.242032 + 1.09956i
\(143\) −0.106483 0.979092i −0.00890453 0.0818758i
\(144\) 13.8030 + 5.00253i 1.15025 + 0.416878i
\(145\) −2.68306 0.590586i −0.222816 0.0490455i
\(146\) 3.12518 2.65455i 0.258641 0.219692i
\(147\) 4.59805 11.1697i 0.379241 0.921265i
\(148\) 0.232902 + 0.0646648i 0.0191444 + 0.00531541i
\(149\) 7.60477 + 8.95303i 0.623007 + 0.733461i 0.979635 0.200786i \(-0.0643494\pi\)
−0.356628 + 0.934247i \(0.616074\pi\)
\(150\) 14.0700 + 4.91929i 1.14881 + 0.401659i
\(151\) 1.55128 14.2638i 0.126241 1.16077i −0.744013 0.668165i \(-0.767080\pi\)
0.870254 0.492603i \(-0.163954\pi\)
\(152\) 0.804983 0.0875471i 0.0652927 0.00710101i
\(153\) 0.178097 7.84202i 0.0143983 0.633990i
\(154\) −0.107564 0.0817679i −0.00866774 0.00658905i
\(155\) −1.59383 + 1.50976i −0.128020 + 0.121267i
\(156\) −2.59081 + 4.19734i −0.207431 + 0.336056i
\(157\) 8.32456 5.64419i 0.664372 0.450456i −0.181821 0.983332i \(-0.558199\pi\)
0.846193 + 0.532876i \(0.178889\pi\)
\(158\) −7.54972 + 8.88822i −0.600623 + 0.707108i
\(159\) −5.86456 10.0023i −0.465090 0.793234i
\(160\) −3.38374 0.554735i −0.267508 0.0438557i
\(161\) −0.462992 + 0.873296i −0.0364889 + 0.0688254i
\(162\) 8.58459 + 13.9891i 0.674469 + 1.09909i
\(163\) −8.79893 + 4.07082i −0.689186 + 0.318851i −0.733039 0.680187i \(-0.761899\pi\)
0.0438532 + 0.999038i \(0.486037\pi\)
\(164\) 8.68505 + 3.46044i 0.678189 + 0.270215i
\(165\) 0.414805 + 0.0728491i 0.0322926 + 0.00567130i
\(166\) 12.3451 + 23.2853i 0.958164 + 1.80729i
\(167\) −6.63886 19.7034i −0.513730 1.52470i −0.819778 0.572681i \(-0.805903\pi\)
0.306048 0.952016i \(-0.400993\pi\)
\(168\) −0.0882920 0.332603i −0.00681187 0.0256608i
\(169\) −6.08828 5.76712i −0.468329 0.443625i
\(170\) 0.409104 + 2.49542i 0.0313768 + 0.191390i
\(171\) 1.66933 + 1.05675i 0.127657 + 0.0808120i
\(172\) −8.49744 + 0.460718i −0.647924 + 0.0351294i
\(173\) 10.7036 6.44017i 0.813783 0.489637i −0.0468261 0.998903i \(-0.514911\pi\)
0.860609 + 0.509266i \(0.170083\pi\)
\(174\) −12.3506 10.7344i −0.936293 0.813773i
\(175\) −0.203990 0.734707i −0.0154202 0.0555386i
\(176\) 2.24385 0.169137
\(177\) 11.4656 + 6.74836i 0.861806 + 0.507237i
\(178\) −11.4180 −0.855816
\(179\) −1.34658 4.84994i −0.100648 0.362501i 0.896025 0.444003i \(-0.146442\pi\)
−0.996673 + 0.0815018i \(0.974028\pi\)
\(180\) −1.41541 1.56387i −0.105498 0.116564i
\(181\) −12.6784 + 7.62834i −0.942378 + 0.567010i −0.901794 0.432166i \(-0.857749\pi\)
−0.0405840 + 0.999176i \(0.512922\pi\)
\(182\) 0.632056 0.0342691i 0.0468511 0.00254019i
\(183\) −5.80289 + 12.1780i −0.428962 + 0.900223i
\(184\) −1.21677 7.42195i −0.0897013 0.547154i
\(185\) 0.0701928 + 0.0664902i 0.00516068 + 0.00488846i
\(186\) −12.6384 + 3.35497i −0.926695 + 0.245999i
\(187\) −0.382792 1.13609i −0.0279925 0.0830788i
\(188\) −3.75548 7.08359i −0.273897 0.516624i
\(189\) 0.337165 0.768971i 0.0245251 0.0559344i
\(190\) −0.591683 0.235748i −0.0429252 0.0171030i
\(191\) −19.7851 + 9.15358i −1.43160 + 0.662330i −0.973942 0.226797i \(-0.927174\pi\)
−0.457660 + 0.889127i \(0.651312\pi\)
\(192\) −2.73884 2.13151i −0.197659 0.153828i
\(193\) 3.47524 6.55500i 0.250153 0.471839i −0.726355 0.687320i \(-0.758787\pi\)
0.976508 + 0.215481i \(0.0691319\pi\)
\(194\) 31.3838 + 5.14511i 2.25322 + 0.369397i
\(195\) −1.70203 + 0.997938i −0.121885 + 0.0714638i
\(196\) −5.98570 + 7.04691i −0.427550 + 0.503351i
\(197\) −6.95780 + 4.71751i −0.495723 + 0.336109i −0.783295 0.621651i \(-0.786462\pi\)
0.287572 + 0.957759i \(0.407152\pi\)
\(198\) 1.96201 + 1.56302i 0.139434 + 0.111079i
\(199\) −0.309181 + 0.292872i −0.0219172 + 0.0207611i −0.698580 0.715532i \(-0.746184\pi\)
0.676662 + 0.736293i \(0.263426\pi\)
\(200\) 4.61883 + 3.51114i 0.326601 + 0.248275i
\(201\) 0.696664 + 7.16124i 0.0491389 + 0.505115i
\(202\) −14.6450 + 1.59275i −1.03042 + 0.112065i
\(203\) −0.0905068 + 0.832196i −0.00635233 + 0.0584087i
\(204\) −1.98163 + 5.66777i −0.138742 + 0.396823i
\(205\) 2.42098 + 2.85020i 0.169089 + 0.199067i
\(206\) 17.6428 + 4.89850i 1.22923 + 0.341295i
\(207\) 8.96164 16.0139i 0.622877 1.11305i
\(208\) −8.01184 + 6.80532i −0.555521 + 0.471864i
\(209\) 0.294896 + 0.0649115i 0.0203984 + 0.00449002i
\(210\) −0.0611858 + 0.263675i −0.00422222 + 0.0181953i
\(211\) −2.50575 23.0400i −0.172503 1.58614i −0.685710 0.727875i \(-0.740508\pi\)
0.513207 0.858265i \(-0.328457\pi\)
\(212\) 1.90791 + 8.66770i 0.131036 + 0.595300i
\(213\) −8.86740 + 9.15084i −0.607585 + 0.627005i
\(214\) 18.7334 + 19.7766i 1.28059 + 1.35190i
\(215\) −3.08936 1.42929i −0.210693 0.0974769i
\(216\) 1.49857 + 6.21060i 0.101965 + 0.422578i
\(217\) 0.509837 + 0.433059i 0.0346100 + 0.0293980i
\(218\) −11.2306 14.7737i −0.760635 1.00060i
\(219\) 3.74037 + 1.08440i 0.252751 + 0.0732767i
\(220\) −0.284819 0.151001i −0.0192025 0.0101805i
\(221\) 4.81239 + 2.89552i 0.323716 + 0.194774i
\(222\) 0.177671 + 0.547785i 0.0119245 + 0.0367649i
\(223\) −1.05726 + 2.65351i −0.0707991 + 0.177692i −0.960118 0.279595i \(-0.909800\pi\)
0.889319 + 0.457288i \(0.151179\pi\)
\(224\) −0.0565640 + 1.04326i −0.00377934 + 0.0697058i
\(225\) 3.47653 + 13.7228i 0.231769 + 0.914851i
\(226\) 32.9570 11.1045i 2.19227 0.738661i
\(227\) 0.00963818 + 0.0241900i 0.000639709 + 0.00160555i 0.929296 0.369335i \(-0.120415\pi\)
−0.928657 + 0.370941i \(0.879035\pi\)
\(228\) −0.965891 1.16366i −0.0639677 0.0770650i
\(229\) 3.02325 0.495636i 0.199782 0.0327525i −0.0610602 0.998134i \(-0.519448\pi\)
0.260842 + 0.965382i \(0.416000\pi\)
\(230\) −1.88896 + 5.60624i −0.124554 + 0.369664i
\(231\) 0.00840176 0.128051i 0.000552795 0.00842513i
\(232\) −3.28384 5.45778i −0.215594 0.358321i
\(233\) 5.24670 7.73830i 0.343723 0.506953i −0.616059 0.787700i \(-0.711272\pi\)
0.959782 + 0.280747i \(0.0905821\pi\)
\(234\) −11.7459 + 0.369633i −0.767856 + 0.0241637i
\(235\) 3.20702i 0.209203i
\(236\) −6.75450 7.62121i −0.439681 0.496099i
\(237\) −10.9967 1.32245i −0.714312 0.0859024i
\(238\) 0.742425 0.206133i 0.0481242 0.0133616i
\(239\) 4.99326 + 3.38552i 0.322987 + 0.218991i 0.711895 0.702286i \(-0.247837\pi\)
−0.388908 + 0.921277i \(0.627147\pi\)
\(240\) −1.84105 4.10090i −0.118839 0.264712i
\(241\) −1.25393 23.1273i −0.0807726 1.48976i −0.705383 0.708826i \(-0.749225\pi\)
0.624610 0.780937i \(-0.285258\pi\)
\(242\) −18.6470 6.28291i −1.19868 0.403881i
\(243\) −6.58221 + 14.1306i −0.422249 + 0.906480i
\(244\) 7.10105 7.49649i 0.454598 0.479914i
\(245\) −3.43571 + 1.36891i −0.219500 + 0.0874566i
\(246\) 4.54099 + 21.8063i 0.289523 + 1.39032i
\(247\) −1.24982 + 0.662610i −0.0795239 + 0.0421609i
\(248\) −5.08247 0.275563i −0.322737 0.0174983i
\(249\) −11.9752 + 21.9809i −0.758895 + 1.39298i
\(250\) −3.94666 8.53058i −0.249609 0.539521i
\(251\) −15.1574 + 25.1919i −0.956729 + 1.59010i −0.158829 + 0.987306i \(0.550772\pi\)
−0.797900 + 0.602790i \(0.794056\pi\)
\(252\) −0.427091 + 0.480269i −0.0269042 + 0.0302541i
\(253\) 0.453744 2.76771i 0.0285266 0.174005i
\(254\) 10.0259 7.62147i 0.629079 0.478213i
\(255\) −1.76225 + 1.63174i −0.110357 + 0.102183i
\(256\) −11.7436 17.3205i −0.733975 1.08253i
\(257\) 11.5842 25.0389i 0.722604 1.56188i −0.101109 0.994875i \(-0.532239\pi\)
0.823713 0.567007i \(-0.191899\pi\)
\(258\) −12.0858 16.2789i −0.752428 1.01348i
\(259\) 0.0178285 0.0234529i 0.00110781 0.00145730i
\(260\) 1.47493 0.324658i 0.0914715 0.0201344i
\(261\) 2.03068 15.4081i 0.125696 0.953738i
\(262\) 22.4306 + 2.43947i 1.38576 + 0.150711i
\(263\) 4.85625 22.0622i 0.299449 1.36041i −0.551066 0.834462i \(-0.685779\pi\)
0.850515 0.525951i \(-0.176290\pi\)
\(264\) 0.538752 + 0.814354i 0.0331579 + 0.0501200i
\(265\) −0.949749 + 3.42069i −0.0583426 + 0.210131i
\(266\) −0.0519193 + 0.186997i −0.00318338 + 0.0114655i
\(267\) −5.98341 9.04426i −0.366179 0.553500i
\(268\) 1.18394 5.37867i 0.0723203 0.328555i
\(269\) 14.6289 + 1.59098i 0.891937 + 0.0970040i 0.542598 0.839992i \(-0.317441\pi\)
0.349339 + 0.936996i \(0.386406\pi\)
\(270\) 1.24681 4.86823i 0.0758782 0.296271i
\(271\) −9.48461 + 2.08772i −0.576149 + 0.126820i −0.493480 0.869757i \(-0.664275\pi\)
−0.0826690 + 0.996577i \(0.526344\pi\)
\(272\) −7.74374 + 10.1867i −0.469533 + 0.617660i
\(273\) 0.358363 + 0.482697i 0.0216891 + 0.0292141i
\(274\) −9.83819 + 21.2649i −0.594347 + 1.28466i
\(275\) 1.21417 + 1.79076i 0.0732171 + 0.107987i
\(276\) −10.3069 + 9.54351i −0.620399 + 0.574451i
\(277\) 12.4422 9.45831i 0.747579 0.568295i −0.160529 0.987031i \(-0.551320\pi\)
0.908108 + 0.418737i \(0.137527\pi\)
\(278\) 4.06812 24.8144i 0.243989 1.48827i
\(279\) −9.28045 8.25285i −0.555606 0.494085i
\(280\) −0.0543204 + 0.0902812i −0.00324626 + 0.00539533i
\(281\) −12.3546 26.7040i −0.737013 1.59303i −0.803546 0.595243i \(-0.797056\pi\)
0.0665330 0.997784i \(-0.478806\pi\)
\(282\) 9.13845 16.7740i 0.544186 0.998874i
\(283\) −3.55615 0.192809i −0.211391 0.0114613i −0.0518608 0.998654i \(-0.516515\pi\)
−0.159530 + 0.987193i \(0.550998\pi\)
\(284\) 8.61746 4.56869i 0.511352 0.271102i
\(285\) −0.123324 0.592215i −0.00730510 0.0350798i
\(286\) −1.66851 + 0.664796i −0.0986612 + 0.0393102i
\(287\) 0.783613 0.827251i 0.0462552 0.0488311i
\(288\) 1.48964 19.3400i 0.0877778 1.13962i
\(289\) −9.63142 3.24520i −0.566554 0.190894i
\(290\) 0.271245 + 5.00282i 0.0159280 + 0.293776i
\(291\) 12.3707 + 27.5554i 0.725181 + 1.61533i
\(292\) −2.46731 1.67287i −0.144388 0.0978976i
\(293\) 21.6004 5.99733i 1.26191 0.350368i 0.428762 0.903417i \(-0.358950\pi\)
0.833148 + 0.553049i \(0.186536\pi\)
\(294\) −21.8708 2.63016i −1.27553 0.153394i
\(295\) −0.959139 3.95893i −0.0558432 0.230498i
\(296\) 0.224162i 0.0130291i
\(297\) −0.209921 + 2.37319i −0.0121808 + 0.137706i
\(298\) 12.0220 17.7312i 0.696418 1.02714i
\(299\) 6.77400 + 11.2585i 0.391750 + 0.651094i
\(300\) 0.709447 10.8126i 0.0409599 0.624269i
\(301\) −0.331178 + 0.982902i −0.0190888 + 0.0566536i
\(302\) −25.8212 + 4.23316i −1.48584 + 0.243591i
\(303\) −8.93611 10.7658i −0.513366 0.618477i
\(304\) −1.19293 2.99403i −0.0684192 0.171719i
\(305\) 3.91412 1.31882i 0.224122 0.0755155i
\(306\) −13.8669 + 3.51305i −0.792719 + 0.200828i
\(307\) −0.714070 + 13.1703i −0.0407541 + 0.751666i 0.904728 + 0.425991i \(0.140074\pi\)
−0.945482 + 0.325675i \(0.894408\pi\)
\(308\) −0.0363576 + 0.0912506i −0.00207166 + 0.00519949i
\(309\) 5.36528 + 16.5419i 0.305220 + 0.941037i
\(310\) 3.43056 + 2.06410i 0.194843 + 0.117233i
\(311\) 23.5038 + 12.4609i 1.33278 + 0.706595i 0.973940 0.226804i \(-0.0728278\pi\)
0.358839 + 0.933399i \(0.383173\pi\)
\(312\) −4.39349 1.27374i −0.248732 0.0721115i
\(313\) 12.1953 + 16.0426i 0.689319 + 0.906784i 0.999029 0.0440471i \(-0.0140252\pi\)
−0.309710 + 0.950831i \(0.600232\pi\)
\(314\) −13.9794 11.8742i −0.788905 0.670102i
\(315\) −0.240921 + 0.0897085i −0.0135744 + 0.00505450i
\(316\) 7.69447 + 3.55984i 0.432848 + 0.200257i
\(317\) 8.85896 + 9.35229i 0.497569 + 0.525277i 0.925608 0.378483i \(-0.123554\pi\)
−0.428040 + 0.903760i \(0.640796\pi\)
\(318\) −14.7148 + 15.1852i −0.825167 + 0.851543i
\(319\) −0.510610 2.31972i −0.0285887 0.129880i
\(320\) 0.114888 + 1.05638i 0.00642243 + 0.0590533i
\(321\) −5.84822 + 25.2024i −0.326416 + 1.40666i
\(322\) 1.76045 + 0.387503i 0.0981058 + 0.0215947i
\(323\) −1.31240 + 1.11476i −0.0730238 + 0.0620270i
\(324\) 8.12960 8.73417i 0.451645 0.485232i
\(325\) −9.76643 2.71164i −0.541744 0.150415i
\(326\) 11.4461 + 13.4754i 0.633942 + 0.746335i
\(327\) 5.81706 16.6377i 0.321684 0.920068i
\(328\) −0.937418 + 8.61942i −0.0517603 + 0.475928i
\(329\) −0.971456 + 0.105652i −0.0535581 + 0.00582479i
\(330\) −0.0743666 0.764439i −0.00409375 0.0420810i
\(331\) 9.05243 + 6.88148i 0.497566 + 0.378240i 0.823648 0.567102i \(-0.191935\pi\)
−0.326081 + 0.945342i \(0.605728\pi\)
\(332\) 13.9101 13.1764i 0.763419 0.723148i
\(333\) −0.340797 + 0.427791i −0.0186756 + 0.0234428i
\(334\) −31.3839 + 21.2788i −1.71725 + 1.16433i
\(335\) 1.42618 1.67903i 0.0779204 0.0917349i
\(336\) −1.18157 + 0.692781i −0.0644601 + 0.0377943i
\(337\) −14.5664 2.38805i −0.793484 0.130085i −0.248611 0.968603i \(-0.579974\pi\)
−0.544873 + 0.838518i \(0.683422\pi\)
\(338\) −7.16363 + 13.5120i −0.389650 + 0.734958i
\(339\) 26.0665 + 20.2863i 1.41574 + 1.10180i
\(340\) 1.66846 0.771910i 0.0904847 0.0418627i
\(341\) −1.76327 0.702553i −0.0954866 0.0380454i
\(342\) 1.04249 3.44893i 0.0563714 0.186497i
\(343\) 1.05768 + 1.99499i 0.0571093 + 0.107720i
\(344\) −2.51994 7.47892i −0.135866 0.403236i
\(345\) −5.43060 + 1.44160i −0.292374 + 0.0776130i
\(346\) −16.5388 15.6664i −0.889133 0.842232i
\(347\) 4.02031 + 24.5228i 0.215822 + 1.31645i 0.843141 + 0.537692i \(0.180704\pi\)
−0.627319 + 0.778762i \(0.715848\pi\)
\(348\) −5.11729 + 10.7392i −0.274316 + 0.575681i
\(349\) −17.4240 + 0.944703i −0.932687 + 0.0505688i −0.514215 0.857661i \(-0.671917\pi\)
−0.418471 + 0.908230i \(0.637434\pi\)
\(350\) −1.19151 + 0.716905i −0.0636886 + 0.0383202i
\(351\) −6.44804 9.11031i −0.344171 0.486272i
\(352\) −0.793107 2.85651i −0.0422727 0.152253i
\(353\) −7.61483 −0.405297 −0.202648 0.979252i \(-0.564955\pi\)
−0.202648 + 0.979252i \(0.564955\pi\)
\(354\) 6.26434 23.4398i 0.332946 1.24581i
\(355\) 3.90146 0.207068
\(356\) 2.22069 + 7.99822i 0.117697 + 0.423905i
\(357\) 0.552334 + 0.480058i 0.0292326 + 0.0254073i
\(358\) −7.86535 + 4.73242i −0.415697 + 0.250116i
\(359\) 19.7644 1.07159i 1.04313 0.0565566i 0.475396 0.879772i \(-0.342305\pi\)
0.567729 + 0.823215i \(0.307822\pi\)
\(360\) 1.04629 1.65280i 0.0551442 0.0871100i
\(361\) 3.00369 + 18.3217i 0.158089 + 0.964300i
\(362\) 19.5901 + 18.5568i 1.02964 + 0.975322i
\(363\) −4.79493 18.0628i −0.251668 0.948053i
\(364\) −0.146934 0.436085i −0.00770144 0.0228571i
\(365\) −0.558523 1.05349i −0.0292344 0.0551420i
\(366\) 24.2304 + 4.25539i 1.26654 + 0.222433i
\(367\) 22.3067 + 8.88780i 1.16440 + 0.463940i 0.870631 0.491937i \(-0.163711\pi\)
0.293770 + 0.955876i \(0.405090\pi\)
\(368\) −27.1689 + 12.5697i −1.41627 + 0.655238i
\(369\) −14.8932 + 15.0241i −0.775311 + 0.782126i
\(370\) 0.0825907 0.155783i 0.00429369 0.00809875i
\(371\) 1.06747 + 0.175002i 0.0554201 + 0.00908567i
\(372\) 4.80819 + 8.20061i 0.249293 + 0.425182i
\(373\) −16.8096 + 19.7897i −0.870366 + 1.02467i 0.129088 + 0.991633i \(0.458795\pi\)
−0.999454 + 0.0330408i \(0.989481\pi\)
\(374\) −1.80958 + 1.22692i −0.0935709 + 0.0634427i
\(375\) 4.68893 7.59647i 0.242135 0.392280i
\(376\) 5.39807 5.11333i 0.278384 0.263700i
\(377\) 8.85860 + 6.73413i 0.456241 + 0.346825i
\(378\) −1.51574 0.217298i −0.0779611 0.0111766i
\(379\) −21.6973 + 2.35973i −1.11452 + 0.121211i −0.646795 0.762664i \(-0.723891\pi\)
−0.467723 + 0.883875i \(0.654925\pi\)
\(380\) −0.0500628 + 0.460320i −0.00256817 + 0.0236139i
\(381\) 11.2909 + 3.94764i 0.578449 + 0.202244i
\(382\) 25.7376 + 30.3006i 1.31685 + 1.55031i
\(383\) 0.938543 + 0.260585i 0.0479573 + 0.0133153i 0.291424 0.956594i \(-0.405871\pi\)
−0.243467 + 0.969909i \(0.578285\pi\)
\(384\) 6.11680 14.8591i 0.312146 0.758277i
\(385\) −0.0299460 + 0.0254364i −0.00152619 + 0.00129636i
\(386\) −13.2140 2.90862i −0.672574 0.148045i
\(387\) 6.56127 18.1039i 0.333528 0.920272i
\(388\) −2.49974 22.9847i −0.126905 1.16687i
\(389\) −2.90987 13.2197i −0.147537 0.670265i −0.991087 0.133215i \(-0.957470\pi\)
0.843551 0.537050i \(-0.180461\pi\)
\(390\) 2.58398 + 2.50394i 0.130845 + 0.126792i
\(391\) 10.9990 + 11.6115i 0.556245 + 0.587221i
\(392\) −7.78212 3.60039i −0.393056 0.181847i
\(393\) 9.82203 + 19.0457i 0.495456 + 0.960729i
\(394\) 11.6842 + 9.92467i 0.588643 + 0.499998i
\(395\) 2.05228 + 2.69973i 0.103261 + 0.135838i
\(396\) 0.713292 1.67836i 0.0358443 0.0843409i
\(397\) 6.60849 + 3.50360i 0.331670 + 0.175841i 0.625918 0.779889i \(-0.284724\pi\)
−0.294248 + 0.955729i \(0.595069\pi\)
\(398\) 0.665480 + 0.400406i 0.0333575 + 0.0200705i
\(399\) −0.175328 + 0.0568668i −0.00877739 + 0.00284690i
\(400\) 8.54758 21.4528i 0.427379 1.07264i
\(401\) 0.665418 12.2729i 0.0332294 0.612880i −0.933734 0.357967i \(-0.883470\pi\)
0.966964 0.254914i \(-0.0820470\pi\)
\(402\) 12.2439 4.71804i 0.610668 0.235315i
\(403\) 8.42665 2.83927i 0.419761 0.141434i
\(404\) 3.96403 + 9.94896i 0.197218 + 0.494979i
\(405\) 4.50951 1.56351i 0.224079 0.0776915i
\(406\) 1.50649 0.246977i 0.0747661 0.0122573i
\(407\) −0.0266911 + 0.0792163i −0.00132303 + 0.00392660i
\(408\) −5.55631 0.364564i −0.275078 0.0180486i
\(409\) −4.06388 6.75423i −0.200946 0.333975i 0.739955 0.672656i \(-0.234847\pi\)
−0.940901 + 0.338681i \(0.890019\pi\)
\(410\) 3.82722 5.64473i 0.189013 0.278773i
\(411\) −21.9996 + 3.35063i −1.08516 + 0.165274i
\(412\) 13.3113i 0.655803i
\(413\) −1.16762 + 0.420961i −0.0574549 + 0.0207141i
\(414\) −32.5120 7.93446i −1.59788 0.389958i
\(415\) 7.38470 2.05035i 0.362501 0.100648i
\(416\) 11.4953 + 7.79399i 0.563602 + 0.382132i
\(417\) 21.7874 9.78119i 1.06694 0.478987i
\(418\) −0.0298126 0.549861i −0.00145818 0.0268946i
\(419\) 15.2804 + 5.14858i 0.746498 + 0.251524i 0.666741 0.745290i \(-0.267689\pi\)
0.0797574 + 0.996814i \(0.474585\pi\)
\(420\) 0.196602 0.00842207i 0.00959318 0.000410955i
\(421\) 23.7442 25.0664i 1.15722 1.22166i 0.186240 0.982504i \(-0.440370\pi\)
0.970981 0.239158i \(-0.0768714\pi\)
\(422\) −39.2634 + 15.6440i −1.91131 + 0.761537i
\(423\) 18.0756 1.55150i 0.878864 0.0754364i
\(424\) −7.27201 + 3.85538i −0.353160 + 0.187234i
\(425\) −12.3200 0.667969i −0.597606 0.0324013i
\(426\) 20.4062 + 11.1173i 0.988682 + 0.538634i
\(427\) −0.528438 1.14220i −0.0255729 0.0552749i
\(428\) 10.2099 16.9689i 0.493512 0.820223i
\(429\) −1.40094 0.973261i −0.0676381 0.0469895i
\(430\) −1.00430 + 6.12597i −0.0484317 + 0.295420i
\(431\) 25.5651 19.4341i 1.23143 0.936107i 0.232097 0.972693i \(-0.425441\pi\)
0.999331 + 0.0365853i \(0.0116481\pi\)
\(432\) 22.2230 12.3605i 1.06921 0.594697i
\(433\) 12.0208 + 17.7293i 0.577683 + 0.852018i 0.998479 0.0551372i \(-0.0175596\pi\)
−0.420796 + 0.907155i \(0.638249\pi\)
\(434\) 0.512231 1.10717i 0.0245879 0.0531458i
\(435\) −3.82061 + 2.83649i −0.183184 + 0.136000i
\(436\) −8.16456 + 10.7403i −0.391012 + 0.514367i
\(437\) −3.93426 + 0.865996i −0.188201 + 0.0414262i
\(438\) 0.0806312 7.10166i 0.00385271 0.339330i
\(439\) 5.37135 + 0.584170i 0.256361 + 0.0278809i 0.235397 0.971899i \(-0.424361\pi\)
0.0209638 + 0.999780i \(0.493327\pi\)
\(440\) 0.0642686 0.291975i 0.00306388 0.0139194i
\(441\) −9.37767 18.7023i −0.446556 0.890585i
\(442\) 2.74012 9.86903i 0.130334 0.469422i
\(443\) 3.02424 10.8923i 0.143686 0.517510i −0.856314 0.516456i \(-0.827251\pi\)
0.999999 0.00105350i \(-0.000335340\pi\)
\(444\) 0.349163 0.230996i 0.0165705 0.0109626i
\(445\) −0.713770 + 3.24269i −0.0338359 + 0.153718i
\(446\) 5.17858 + 0.563205i 0.245213 + 0.0266685i
\(447\) 20.3449 + 0.230993i 0.962281 + 0.0109256i
\(448\) 0.316208 0.0696027i 0.0149394 0.00328842i
\(449\) −5.85551 + 7.70279i −0.276339 + 0.363517i −0.913236 0.407431i \(-0.866425\pi\)
0.636897 + 0.770949i \(0.280218\pi\)
\(450\) 22.4175 12.8041i 1.05677 0.603591i
\(451\) −1.35759 + 2.93439i −0.0639265 + 0.138175i
\(452\) −14.1884 20.9264i −0.667368 0.984295i
\(453\) −16.8842 18.2347i −0.793291 0.856743i
\(454\) 0.0378045 0.0287382i 0.00177425 0.00134875i
\(455\) 0.0297792 0.181645i 0.00139607 0.00851564i
\(456\) 0.800189 1.15182i 0.0374723 0.0539388i
\(457\) 8.11029 13.4794i 0.379383 0.630540i −0.607058 0.794658i \(-0.707650\pi\)
0.986441 + 0.164118i \(0.0524778\pi\)
\(458\) −2.34593 5.07064i −0.109618 0.236936i
\(459\) −10.0494 9.14309i −0.469067 0.426763i
\(460\) 4.29450 + 0.232841i 0.200232 + 0.0108563i
\(461\) −25.9450 + 13.7552i −1.20838 + 0.640643i −0.945951 0.324309i \(-0.894868\pi\)
−0.262429 + 0.964951i \(0.584524\pi\)
\(462\) −0.229111 + 0.0477105i −0.0106592 + 0.00221969i
\(463\) −28.1706 + 11.2242i −1.30920 + 0.521632i −0.917234 0.398349i \(-0.869583\pi\)
−0.391963 + 0.919981i \(0.628204\pi\)
\(464\) −17.4348 + 18.4057i −0.809391 + 0.854464i
\(465\) 0.162743 + 3.79902i 0.00754703 + 0.176175i
\(466\) −16.1576 5.44412i −0.748484 0.252194i
\(467\) 0.00331300 + 0.0611048i 0.000153308 + 0.00282759i 0.998609 0.0527251i \(-0.0167907\pi\)
−0.998456 + 0.0555526i \(0.982308\pi\)
\(468\) 2.54340 + 8.15604i 0.117569 + 0.377013i
\(469\) −0.555587 0.376697i −0.0256546 0.0173943i
\(470\) −5.63539 + 1.56466i −0.259941 + 0.0721723i
\(471\) 2.07996 17.2957i 0.0958393 0.796942i
\(472\) 5.13442 7.92660i 0.236331 0.364851i
\(473\) 2.94301i 0.135320i
\(474\) 3.04131 + 19.9686i 0.139692 + 0.917190i
\(475\) 1.74396 2.57214i 0.0800182 0.118018i
\(476\) −0.288789 0.479971i −0.0132366 0.0219994i
\(477\) −19.7393 3.69816i −0.903801 0.169327i
\(478\) 3.51290 10.4259i 0.160676 0.476871i
\(479\) 6.17847 1.01291i 0.282301 0.0462810i −0.0189678 0.999820i \(-0.506038\pi\)
0.301269 + 0.953539i \(0.402590\pi\)
\(480\) −4.56987 + 3.79322i −0.208585 + 0.173136i
\(481\) −0.144950 0.363798i −0.00660917 0.0165878i
\(482\) −40.0277 + 13.4869i −1.82321 + 0.614311i
\(483\) 0.615588 + 1.59752i 0.0280102 + 0.0726898i
\(484\) −0.774458 + 14.2840i −0.0352027 + 0.649275i
\(485\) 3.42308 8.59129i 0.155434 0.390110i
\(486\) 28.0417 + 4.67215i 1.27200 + 0.211933i
\(487\) −37.3292 22.4602i −1.69155 1.01777i −0.928427 0.371515i \(-0.878838\pi\)
−0.763121 0.646256i \(-0.776334\pi\)
\(488\) 8.46058 + 4.48552i 0.382993 + 0.203050i
\(489\) −4.67580 + 16.1281i −0.211447 + 0.729337i
\(490\) 4.08169 + 5.36937i 0.184392 + 0.242564i
\(491\) −6.36939 5.41021i −0.287447 0.244159i 0.492048 0.870568i \(-0.336248\pi\)
−0.779495 + 0.626409i \(0.784524\pi\)
\(492\) 14.3919 7.42204i 0.648838 0.334611i
\(493\) 12.2933 + 5.68749i 0.553663 + 0.256152i
\(494\) 1.77411 + 1.87290i 0.0798209 + 0.0842659i
\(495\) 0.566545 0.459497i 0.0254643 0.0206529i
\(496\) 4.35514 + 19.7856i 0.195551 + 0.888399i
\(497\) −0.128530 1.18181i −0.00576536 0.0530116i
\(498\) 44.4673 + 10.3187i 1.99263 + 0.462390i
\(499\) 3.83750 + 0.844698i 0.171790 + 0.0378139i 0.300032 0.953929i \(-0.403002\pi\)
−0.128242 + 0.991743i \(0.540934\pi\)
\(500\) −5.20801 + 4.42372i −0.232909 + 0.197835i
\(501\) −33.3013 13.7085i −1.48779 0.612453i
\(502\) 51.6623 + 14.3440i 2.30580 + 0.640202i
\(503\) 10.3037 + 12.1304i 0.459418 + 0.540868i 0.942279 0.334829i \(-0.108678\pi\)
−0.482861 + 0.875697i \(0.660403\pi\)
\(504\) −0.535126 0.262487i −0.0238364 0.0116921i
\(505\) −0.463165 + 4.25873i −0.0206106 + 0.189511i
\(506\) −5.08481 + 0.553006i −0.226047 + 0.0245841i
\(507\) −14.4569 + 1.40641i −0.642054 + 0.0624607i
\(508\) −7.28871 5.54073i −0.323384 0.245830i
\(509\) −25.5465 + 24.1989i −1.13233 + 1.07260i −0.135682 + 0.990752i \(0.543323\pi\)
−0.996645 + 0.0818448i \(0.973919\pi\)
\(510\) 3.72707 + 2.30054i 0.165037 + 0.101869i
\(511\) −0.300717 + 0.203891i −0.0133029 + 0.00901962i
\(512\) −12.6940 + 14.9446i −0.561002 + 0.660463i
\(513\) 3.27821 0.981589i 0.144737 0.0433382i
\(514\) −49.6502 8.13973i −2.18998 0.359028i
\(515\) 2.49406 4.70430i 0.109901 0.207296i
\(516\) −9.05268 + 11.6321i −0.398522 + 0.512074i
\(517\) 2.51646 1.16424i 0.110674 0.0512032i
\(518\) −0.0499098 0.0198859i −0.00219291 0.000873736i
\(519\) 3.74255 21.3102i 0.164280 0.935414i
\(520\) 0.656048 + 1.23744i 0.0287696 + 0.0542652i
\(521\) −11.5284 34.2151i −0.505068 1.49899i −0.832451 0.554098i \(-0.813063\pi\)
0.327383 0.944892i \(-0.393833\pi\)
\(522\) −28.0659 + 3.94908i −1.22841 + 0.172846i
\(523\) 15.2048 + 14.4028i 0.664861 + 0.629790i 0.943799 0.330519i \(-0.107224\pi\)
−0.278938 + 0.960309i \(0.589982\pi\)
\(524\) −2.65370 16.1869i −0.115928 0.707127i
\(525\) −1.19225 0.568115i −0.0520341 0.0247946i
\(526\) −41.1370 + 2.23039i −1.79366 + 0.0972494i
\(527\) 9.27468 5.58039i 0.404012 0.243086i
\(528\) 2.54951 2.93336i 0.110953 0.127658i
\(529\) 3.85709 + 13.8920i 0.167699 + 0.603999i
\(530\) 6.47421 0.281222
\(531\) 21.8495 7.32120i 0.948187 0.317713i
\(532\) 0.141087 0.00611691
\(533\) −4.05224 14.5948i −0.175522 0.632173i
\(534\) −12.9734 + 14.9266i −0.561413 + 0.645938i
\(535\) 6.78758 4.08395i 0.293453 0.176565i
\(536\) 5.10006 0.276517i 0.220289 0.0119437i
\(537\) −7.87028 3.75024i −0.339628 0.161835i
\(538\) −4.34152 26.4821i −0.187176 1.14172i
\(539\) −2.32141 2.19896i −0.0999902 0.0947158i
\(540\) −3.65264 + 0.0734474i −0.157185 + 0.00316067i
\(541\) −7.16490 21.2647i −0.308043 0.914239i −0.984135 0.177422i \(-0.943224\pi\)
0.676092 0.736817i \(-0.263672\pi\)
\(542\) 8.29595 + 15.6478i 0.356342 + 0.672131i
\(543\) −4.43303 + 25.2418i −0.190239 + 1.08323i
\(544\) 15.7052 + 6.25751i 0.673353 + 0.268288i
\(545\) −4.89774 + 2.26594i −0.209796 + 0.0970621i
\(546\) 0.673356 0.865217i 0.0288170 0.0370279i
\(547\) 15.5720 29.3720i 0.665812 1.25586i −0.288624 0.957442i \(-0.593198\pi\)
0.954437 0.298413i \(-0.0964573\pi\)
\(548\) 16.8093 + 2.75575i 0.718058 + 0.117720i
\(549\) 9.32678 + 21.4229i 0.398057 + 0.914309i
\(550\) 2.55436 3.00723i 0.108918 0.128229i
\(551\) −2.82380 + 1.91459i −0.120298 + 0.0815641i
\(552\) −11.0851 6.84231i −0.471815 0.291228i
\(553\) 0.750180 0.710608i 0.0319009 0.0302181i
\(554\) −22.6905 17.2489i −0.964028 0.732835i
\(555\) 0.166676 0.0162147i 0.00707502 0.000688276i
\(556\) −18.1735 + 1.97649i −0.770728 + 0.0838217i
\(557\) 1.06919 9.83104i 0.0453030 0.416555i −0.949424 0.313997i \(-0.898332\pi\)
0.994727 0.102558i \(-0.0327026\pi\)
\(558\) −9.97414 + 20.3341i −0.422239 + 0.860810i
\(559\) 8.92578 + 10.5082i 0.377520 + 0.444451i
\(560\) 0.404086 + 0.112194i 0.0170758 + 0.00474106i
\(561\) −1.92013 0.790425i −0.0810679 0.0333718i
\(562\) −40.8967 + 34.7380i −1.72512 + 1.46533i
\(563\) −3.99818 0.880067i −0.168503 0.0370904i 0.129917 0.991525i \(-0.458529\pi\)
−0.298421 + 0.954434i \(0.596460\pi\)
\(564\) −13.5274 3.13903i −0.569604 0.132177i
\(565\) −1.09343 10.0539i −0.0460008 0.422971i
\(566\) 1.39619 + 6.34294i 0.0586861 + 0.266614i
\(567\) −0.622173 1.31449i −0.0261288 0.0552035i
\(568\) 6.22056 + 6.56696i 0.261009 + 0.275544i
\(569\) −1.22680 0.567579i −0.0514303 0.0237942i 0.394005 0.919108i \(-0.371089\pi\)
−0.445436 + 0.895314i \(0.646951\pi\)
\(570\) −0.980474 + 0.505638i −0.0410675 + 0.0211789i
\(571\) −11.6494 9.89511i −0.487513 0.414098i 0.369627 0.929180i \(-0.379485\pi\)
−0.857141 + 0.515083i \(0.827761\pi\)
\(572\) 0.790193 + 1.03948i 0.0330396 + 0.0434629i
\(573\) −10.5139 + 36.2654i −0.439225 + 1.51501i
\(574\) −1.83596 0.973365i −0.0766315 0.0406275i
\(575\) −24.7328 14.8813i −1.03143 0.620591i
\(576\) −5.89843 + 1.15859i −0.245768 + 0.0482747i
\(577\) −5.78802 + 14.5268i −0.240959 + 0.604760i −0.998866 0.0476012i \(-0.984842\pi\)
0.757908 + 0.652362i \(0.226222\pi\)
\(578\) −1.00346 + 18.5076i −0.0417382 + 0.769817i
\(579\) −4.62063 11.9911i −0.192027 0.498332i
\(580\) 3.45168 1.16300i 0.143323 0.0482912i
\(581\) −0.864365 2.16939i −0.0358599 0.0900016i
\(582\) 42.3850 35.1816i 1.75692 1.45833i
\(583\) −3.02891 + 0.496564i −0.125445 + 0.0205656i
\(584\) 0.882715 2.61980i 0.0365270 0.108408i
\(585\) −0.629295 + 3.35893i −0.0260181 + 0.138875i
\(586\) −21.0771 35.0303i −0.870685 1.44709i
\(587\) −11.9959 + 17.6927i −0.495125 + 0.730254i −0.990362 0.138504i \(-0.955771\pi\)
0.495237 + 0.868758i \(0.335081\pi\)
\(588\) 2.41126 + 15.8319i 0.0994388 + 0.652895i
\(589\) 2.72629i 0.112335i
\(590\) −6.48869 + 3.61690i −0.267135 + 0.148905i
\(591\) −1.73846 + 14.4560i −0.0715107 + 0.594640i
\(592\) 0.859701 0.238695i 0.0353335 0.00981030i
\(593\) −10.4101 7.05823i −0.427492 0.289847i 0.328405 0.944537i \(-0.393489\pi\)
−0.755897 + 0.654690i \(0.772799\pi\)
\(594\) 4.27259 0.788971i 0.175307 0.0323719i
\(595\) −0.0121304 0.223733i −0.000497300 0.00917216i
\(596\) −14.7587 4.97279i −0.604540 0.203693i
\(597\) 0.0315698 + 0.736955i 0.00129207 + 0.0301616i
\(598\) 16.4785 17.3961i 0.673855 0.711381i
\(599\) 25.1994 10.0404i 1.02962 0.410238i 0.206706 0.978403i \(-0.433726\pi\)
0.822915 + 0.568165i \(0.192346\pi\)
\(600\) 9.83809 2.04871i 0.401638 0.0836381i
\(601\) 15.5272 8.23198i 0.633366 0.335789i −0.120602 0.992701i \(-0.538482\pi\)
0.753968 + 0.656912i \(0.228138\pi\)
\(602\) 1.88874 + 0.102404i 0.0769791 + 0.00417369i
\(603\) 10.1534 + 7.22601i 0.413477 + 0.294266i
\(604\) 7.98726 + 17.2642i 0.324997 + 0.702470i
\(605\) −2.95001 + 4.90295i −0.119935 + 0.199333i
\(606\) −14.5578 + 20.9550i −0.591372 + 0.851239i
\(607\) 3.33034 20.3142i 0.135174 0.824526i −0.828999 0.559251i \(-0.811089\pi\)
0.964173 0.265275i \(-0.0854628\pi\)
\(608\) −3.38987 + 2.57691i −0.137477 + 0.104507i
\(609\) 0.985085 + 1.06388i 0.0399176 + 0.0431105i
\(610\) −4.22708 6.23447i −0.171149 0.252426i
\(611\) −5.45422 + 11.7891i −0.220654 + 0.476936i
\(612\) 5.15785 + 9.03040i 0.208494 + 0.365032i
\(613\) −22.4821 + 29.5747i −0.908042 + 1.19451i 0.0723355 + 0.997380i \(0.476955\pi\)
−0.980378 + 0.197129i \(0.936838\pi\)
\(614\) 23.4912 5.17080i 0.948027 0.208677i
\(615\) 6.47681 + 0.0735367i 0.261170 + 0.00296529i
\(616\) −0.0905611 0.00984911i −0.00364881 0.000396832i
\(617\) 1.94718 8.84614i 0.0783906 0.356132i −0.921055 0.389433i \(-0.872671\pi\)
0.999445 + 0.0333010i \(0.0106020\pi\)
\(618\) 26.4499 17.4984i 1.06397 0.703890i
\(619\) 4.05795 14.6154i 0.163103 0.587443i −0.836139 0.548517i \(-0.815193\pi\)
0.999242 0.0389259i \(-0.0123936\pi\)
\(620\) 0.778672 2.80452i 0.0312722 0.112632i
\(621\) −10.7524 29.9108i −0.431480 1.20028i
\(622\) 10.4292 47.3805i 0.418174 1.89978i
\(623\) 1.00578 + 0.109385i 0.0402955 + 0.00438240i
\(624\) −0.206710 + 18.2061i −0.00827501 + 0.728829i
\(625\) 20.3728 4.48440i 0.814913 0.179376i
\(626\) 22.2403 29.2566i 0.888900 1.16933i
\(627\) 0.419925 0.311760i 0.0167702 0.0124505i
\(628\) −5.59893 + 12.1019i −0.223422 + 0.482918i
\(629\) −0.267515 0.394555i −0.0106665 0.0157319i
\(630\) 0.275178 + 0.379580i 0.0109634 + 0.0151228i
\(631\) 22.4079 17.0340i 0.892044 0.678114i −0.0552528 0.998472i \(-0.517596\pi\)
0.947296 + 0.320358i \(0.103803\pi\)
\(632\) −1.27201 + 7.75890i −0.0505978 + 0.308633i
\(633\) −32.9670 22.9028i −1.31032 0.910304i
\(634\) 12.1117 20.1298i 0.481018 0.799458i
\(635\) −1.53774 3.32376i −0.0610232 0.131900i
\(636\) 13.4990 + 7.35425i 0.535270 + 0.291615i
\(637\) 14.9579 + 0.810995i 0.592654 + 0.0321328i
\(638\) −3.82711 + 2.02900i −0.151517 + 0.0803290i
\(639\) 1.88746 + 21.9896i 0.0746666 + 0.869896i
\(640\) −4.57053 + 1.82107i −0.180666 + 0.0719840i
\(641\) −18.5381 + 19.5705i −0.732212 + 0.772986i −0.980673 0.195656i \(-0.937317\pi\)
0.248461 + 0.968642i \(0.420075\pi\)
\(642\) 47.1389 2.01935i 1.86042 0.0796972i
\(643\) −4.30868 1.45176i −0.169918 0.0572520i 0.233057 0.972463i \(-0.425127\pi\)
−0.402975 + 0.915211i \(0.632024\pi\)
\(644\) −0.0709471 1.30854i −0.00279571 0.0515638i
\(645\) −5.37869 + 2.41470i −0.211786 + 0.0950786i
\(646\) 2.59916 + 1.76228i 0.102263 + 0.0693358i
\(647\) 44.3807 12.3222i 1.74478 0.484437i 0.758807 0.651316i \(-0.225783\pi\)
0.985977 + 0.166879i \(0.0533688\pi\)
\(648\) 9.82175 + 5.09755i 0.385835 + 0.200251i
\(649\) 2.75827 2.18981i 0.108271 0.0859577i
\(650\) 18.4846i 0.725025i
\(651\) 1.14542 0.174452i 0.0448925 0.00683733i
\(652\) 7.21325 10.6388i 0.282493 0.416646i
\(653\) 2.88626 + 4.79700i 0.112948 + 0.187721i 0.908175 0.418591i \(-0.137476\pi\)
−0.795227 + 0.606312i \(0.792648\pi\)
\(654\) −32.0739 2.10445i −1.25419 0.0822907i
\(655\) 2.09500 6.21773i 0.0818584 0.242947i
\(656\) 34.0552 5.58307i 1.32963 0.217982i
\(657\) 5.66751 3.65763i 0.221111 0.142698i
\(658\) 0.659611 + 1.65550i 0.0257143 + 0.0645381i
\(659\) −4.82421 + 1.62547i −0.187924 + 0.0633191i −0.411690 0.911324i \(-0.635061\pi\)
0.223766 + 0.974643i \(0.428165\pi\)
\(660\) −0.521019 + 0.200769i −0.0202807 + 0.00781493i
\(661\) −2.05674 + 37.9343i −0.0799979 + 1.47547i 0.632915 + 0.774221i \(0.281858\pi\)
−0.712913 + 0.701252i \(0.752625\pi\)
\(662\) 7.67561 19.2643i 0.298321 0.748729i
\(663\) 9.25322 3.00123i 0.359365 0.116558i
\(664\) 15.2254 + 9.16085i 0.590862 + 0.355510i
\(665\) 0.0498610 + 0.0264346i 0.00193353 + 0.00102509i
\(666\) 0.917986 + 0.390137i 0.0355712 + 0.0151175i
\(667\) 19.1772 + 25.2272i 0.742544 + 0.976800i
\(668\) 21.0095 + 17.8456i 0.812882 + 0.690468i
\(669\) 2.26763 + 4.39712i 0.0876716 + 0.170002i
\(670\) −3.64620 1.68691i −0.140865 0.0651711i
\(671\) 2.45578 + 2.59254i 0.0948044 + 0.100084i
\(672\) 1.29957 + 1.25932i 0.0501321 + 0.0485793i
\(673\) −1.82478 8.29005i −0.0703400 0.319558i 0.928292 0.371853i \(-0.121277\pi\)
−0.998632 + 0.0522949i \(0.983346\pi\)
\(674\) 2.91046 + 26.7613i 0.112107 + 1.03081i
\(675\) 21.8897 + 11.0473i 0.842535 + 0.425209i
\(676\) 10.8583 + 2.39010i 0.417628 + 0.0919268i
\(677\) −20.5070 + 17.4188i −0.788148 + 0.669459i −0.948209 0.317648i \(-0.897107\pi\)
0.160060 + 0.987107i \(0.448831\pi\)
\(678\) 22.9297 55.7015i 0.880609 2.13920i
\(679\) −2.71520 0.753873i −0.104200 0.0289310i
\(680\) 1.10372 + 1.29940i 0.0423258 + 0.0498297i
\(681\) 0.0425744 + 0.0148853i 0.00163146 + 0.000570407i
\(682\) −0.374253 + 3.44120i −0.0143309 + 0.131770i
\(683\) −23.0894 + 2.51112i −0.883490 + 0.0960853i −0.538604 0.842559i \(-0.681048\pi\)
−0.344886 + 0.938645i \(0.612082\pi\)
\(684\) −2.61870 0.0594723i −0.100128 0.00227398i
\(685\) 5.42418 + 4.12335i 0.207247 + 0.157545i
\(686\) 2.98958 2.83188i 0.114143 0.108122i
\(687\) 2.78714 4.51540i 0.106336 0.172273i
\(688\) −25.9997 + 17.6282i −0.991228 + 0.672069i
\(689\) 9.30892 10.9593i 0.354642 0.417516i
\(690\) 5.18269 + 8.83934i 0.197302 + 0.336508i
\(691\) −2.91813 0.478404i −0.111011 0.0181993i 0.106020 0.994364i \(-0.466189\pi\)
−0.217031 + 0.976165i \(0.569637\pi\)
\(692\) −7.75754 + 14.6323i −0.294898 + 0.556236i
\(693\) −0.157853 0.156478i −0.00599635 0.00594409i
\(694\) 41.1301 19.0288i 1.56128 0.722324i
\(695\) −6.79293 2.70655i −0.257671 0.102665i
\(696\) −10.8660 1.90832i −0.411877 0.0723348i
\(697\) −8.63644 16.2901i −0.327129 0.617030i
\(698\) 10.1610 + 30.1566i 0.384598 + 1.14145i
\(699\) −4.15478 15.6514i −0.157148 0.591989i
\(700\) 0.733922 + 0.695208i 0.0277396 + 0.0262764i
\(701\) 0.183783 + 1.12103i 0.00694139 + 0.0423406i 0.990070 0.140574i \(-0.0448949\pi\)
−0.983129 + 0.182915i \(0.941447\pi\)
\(702\) −12.8628 + 15.7753i −0.485474 + 0.595401i
\(703\) 0.119890 0.00650027i 0.00452175 0.000245162i
\(704\) −0.787203 + 0.473644i −0.0296688 + 0.0178511i
\(705\) −4.19250 3.64388i −0.157899 0.137237i
\(706\) 3.71516 + 13.3808i 0.139822 + 0.503593i
\(707\) 1.30529 0.0490906
\(708\) −17.6377 + 0.170697i −0.662866 + 0.00641520i
\(709\) −15.2612 −0.573146 −0.286573 0.958058i \(-0.592516\pi\)
−0.286573 + 0.958058i \(0.592516\pi\)
\(710\) −1.90347 6.85566i −0.0714358 0.257288i
\(711\) −14.2235 + 12.8733i −0.533423 + 0.482785i
\(712\) −6.59616 + 3.96878i −0.247201 + 0.148736i
\(713\) 25.2855 1.37094i 0.946950 0.0513421i
\(714\) 0.574083 1.20478i 0.0214845 0.0450876i
\(715\) 0.0844975 + 0.515412i 0.00316003 + 0.0192753i
\(716\) 4.84476 + 4.58920i 0.181057 + 0.171506i
\(717\) 10.0993 2.68094i 0.377165 0.100121i
\(718\) −11.5258 34.2072i −0.430138 1.27660i
\(719\) −1.46754 2.76806i −0.0547298 0.103231i 0.854638 0.519224i \(-0.173779\pi\)
−0.909368 + 0.415993i \(0.863434\pi\)
\(720\) −7.45289 2.25275i −0.277753 0.0839550i
\(721\) −1.50717 0.600511i −0.0561299 0.0223642i
\(722\) 30.7295 14.2170i 1.14363 0.529101i
\(723\) −31.6588 24.6385i −1.17740 0.916317i
\(724\) 9.18876 17.3318i 0.341498 0.644133i
\(725\) −24.1233 3.95481i −0.895916 0.146878i
\(726\) −29.4007 + 17.2383i −1.09116 + 0.639771i
\(727\) −25.0328 + 29.4709i −0.928417 + 1.09302i 0.0670349 + 0.997751i \(0.478646\pi\)
−0.995452 + 0.0952662i \(0.969630\pi\)
\(728\) 0.353226 0.239493i 0.0130914 0.00887621i
\(729\) 10.9940 + 24.6604i 0.407184 + 0.913346i
\(730\) −1.57869 + 1.49542i −0.0584301 + 0.0553479i
\(731\) 13.3608 + 10.1566i 0.494166 + 0.375655i
\(732\) −1.73171 17.8008i −0.0640057 0.657936i
\(733\) −5.76665 + 0.627161i −0.212996 + 0.0231647i −0.213995 0.976835i \(-0.568648\pi\)
0.000998766 1.00000i \(0.499682\pi\)
\(734\) 4.73457 43.5336i 0.174756 1.60686i
\(735\) −2.11416 + 6.04685i −0.0779821 + 0.223042i
\(736\) 25.6047 + 30.1442i 0.943801 + 1.11113i
\(737\) 1.83523 + 0.509549i 0.0676015 + 0.0187695i
\(738\) 33.6667 + 18.8404i 1.23929 + 0.693524i
\(739\) −37.4655 + 31.8235i −1.37819 + 1.17064i −0.412496 + 0.910959i \(0.635343\pi\)
−0.965693 + 0.259685i \(0.916381\pi\)
\(740\) −0.125187 0.0275558i −0.00460198 0.00101297i
\(741\) −0.553844 + 2.38674i −0.0203460 + 0.0876791i
\(742\) −0.213287 1.96114i −0.00783000 0.0719956i
\(743\) 3.55411 + 16.1465i 0.130388 + 0.592357i 0.995821 + 0.0913318i \(0.0291124\pi\)
−0.865433 + 0.501025i \(0.832957\pi\)
\(744\) −6.13504 + 6.33115i −0.224922 + 0.232111i
\(745\) −4.28409 4.52266i −0.156957 0.165697i
\(746\) 42.9757 + 19.8827i 1.57345 + 0.727957i
\(747\) 15.1289 + 40.6301i 0.553537 + 1.48658i
\(748\) 1.21139 + 1.02897i 0.0442929 + 0.0376228i
\(749\) −1.46070 1.92152i −0.0533729 0.0702108i
\(750\) −15.6362 4.53319i −0.570953 0.165529i
\(751\) 7.60931 + 4.03420i 0.277668 + 0.147210i 0.601423 0.798931i \(-0.294601\pi\)
−0.323755 + 0.946141i \(0.604945\pi\)
\(752\) −25.3586 15.2577i −0.924731 0.556392i
\(753\) 15.7108 + 48.4386i 0.572534 + 1.76520i
\(754\) 7.51126 18.8518i 0.273544 0.686543i
\(755\) −0.411940 + 7.59778i −0.0149920 + 0.276511i
\(756\) 0.142581 + 1.10402i 0.00518563 + 0.0401529i
\(757\) −0.370864 + 0.124958i −0.0134793 + 0.00454169i −0.326033 0.945358i \(-0.605712\pi\)
0.312554 + 0.949900i \(0.398816\pi\)
\(758\) 14.7323 + 36.9754i 0.535102 + 1.34301i
\(759\) −3.10265 3.73791i −0.112619 0.135677i
\(760\) −0.423758 + 0.0694715i −0.0153713 + 0.00252000i
\(761\) 5.14753 15.2773i 0.186598 0.553802i −0.812997 0.582268i \(-0.802166\pi\)
0.999595 + 0.0284656i \(0.00906209\pi\)
\(762\) 1.42815 21.7664i 0.0517364 0.788512i
\(763\) 0.847739 + 1.40895i 0.0306902 + 0.0510075i
\(764\) 16.2196 23.9221i 0.586805 0.865472i
\(765\) 0.130842 + 4.15778i 0.00473059 + 0.150325i
\(766\) 1.77635i 0.0641820i
\(767\) −3.20717 + 16.1844i −0.115804 + 0.584383i
\(768\) −35.9862 4.32766i −1.29854 0.156161i
\(769\) −15.5085 + 4.30591i −0.559250 + 0.155275i −0.535640 0.844446i \(-0.679930\pi\)
−0.0236096 + 0.999721i \(0.507516\pi\)
\(770\) 0.0593071 + 0.0402112i 0.00213728 + 0.00144911i
\(771\) −19.5708 43.5936i −0.704825 1.56999i
\(772\) 0.532532 + 9.82197i 0.0191662 + 0.353501i