Properties

Label 384.2.w.a.11.1
Level $384$
Weight $2$
Character 384.11
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 11.1
Character \(\chi\) \(=\) 384.11
Dual form 384.2.w.a.35.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.41413 - 0.0157861i) q^{2} +(1.41096 + 1.00458i) q^{3} +(1.99950 + 0.0446470i) q^{4} +(-3.04456 - 1.62735i) q^{5} +(-1.97942 - 1.44288i) q^{6} +(-1.52522 - 0.303386i) q^{7} +(-2.82684 - 0.0947007i) q^{8} +(0.981620 + 2.83486i) q^{9} +O(q^{10})\) \(q+(-1.41413 - 0.0157861i) q^{2} +(1.41096 + 1.00458i) q^{3} +(1.99950 + 0.0446470i) q^{4} +(-3.04456 - 1.62735i) q^{5} +(-1.97942 - 1.44288i) q^{6} +(-1.52522 - 0.303386i) q^{7} +(-2.82684 - 0.0947007i) q^{8} +(0.981620 + 2.83486i) q^{9} +(4.27970 + 2.34934i) q^{10} +(2.67025 - 2.19142i) q^{11} +(2.77637 + 2.07166i) q^{12} +(4.59006 - 2.45344i) q^{13} +(2.15207 + 0.453103i) q^{14} +(-2.66094 - 5.35464i) q^{15} +(3.99601 + 0.178543i) q^{16} +(6.42766 - 2.66242i) q^{17} +(-1.34338 - 4.02434i) q^{18} +(0.298247 - 0.983188i) q^{19} +(-6.01494 - 3.38982i) q^{20} +(-1.84725 - 1.96028i) q^{21} +(-3.81066 + 3.05678i) q^{22} +(0.163752 + 0.109416i) q^{23} +(-3.89343 - 2.97342i) q^{24} +(3.84322 + 5.75178i) q^{25} +(-6.52965 + 3.39701i) q^{26} +(-1.46283 + 4.98599i) q^{27} +(-3.03614 - 0.674717i) q^{28} +(2.73085 + 2.24115i) q^{29} +(3.67838 + 7.61414i) q^{30} +(1.22570 - 1.22570i) q^{31} +(-5.64805 - 0.315564i) q^{32} +(5.96908 - 0.409512i) q^{33} +(-9.13155 + 3.66353i) q^{34} +(4.14992 + 3.40575i) q^{35} +(1.83618 + 5.71213i) q^{36} +(-1.88884 - 6.22666i) q^{37} +(-0.437279 + 1.38564i) q^{38} +(8.94108 + 1.14940i) q^{39} +(8.45237 + 4.88858i) q^{40} +(-4.53730 - 3.03173i) q^{41} +(2.58130 + 2.80124i) q^{42} +(0.466164 - 4.73304i) q^{43} +(5.43701 - 4.26252i) q^{44} +(1.62471 - 10.2283i) q^{45} +(-0.229839 - 0.157313i) q^{46} +(-10.2284 + 4.23674i) q^{47} +(5.45886 + 4.26625i) q^{48} +(-4.23289 - 1.75332i) q^{49} +(-5.34399 - 8.19441i) q^{50} +(11.7438 + 2.70055i) q^{51} +(9.28737 - 4.70072i) q^{52} +(4.04256 - 3.31764i) q^{53} +(2.14733 - 7.02773i) q^{54} +(-11.6959 + 2.32646i) q^{55} +(4.28283 + 1.00206i) q^{56} +(1.40851 - 1.08763i) q^{57} +(-3.82639 - 3.21238i) q^{58} +(9.79858 + 5.23745i) q^{59} +(-5.08149 - 10.8254i) q^{60} +(0.457617 + 4.64626i) q^{61} +(-1.75264 + 1.71394i) q^{62} +(-0.637134 - 4.62160i) q^{63} +(7.98206 + 0.535408i) q^{64} -17.9673 q^{65} +(-8.44749 + 0.484873i) q^{66} +(0.872973 - 0.0859804i) q^{67} +(12.9710 - 5.03655i) q^{68} +(0.121131 + 0.318884i) q^{69} +(-5.81474 - 4.88166i) q^{70} +(9.11712 + 1.81351i) q^{71} +(-2.50642 - 8.10665i) q^{72} +(-1.24543 - 6.26118i) q^{73} +(2.57276 + 8.83510i) q^{74} +(-0.355521 + 11.9764i) q^{75} +(0.640242 - 1.95257i) q^{76} +(-4.73757 + 2.53228i) q^{77} +(-12.6257 - 1.76654i) q^{78} +(0.950389 - 2.29444i) q^{79} +(-11.8755 - 7.04650i) q^{80} +(-7.07284 + 5.56551i) q^{81} +(6.36845 + 4.35887i) q^{82} +(-3.96925 + 13.0849i) q^{83} +(-3.60606 - 4.00206i) q^{84} +(-23.9021 - 2.35415i) q^{85} +(-0.733931 + 6.68576i) q^{86} +(1.60170 + 5.90555i) q^{87} +(-7.75590 + 5.94191i) q^{88} +(5.57655 + 8.34589i) q^{89} +(-2.45901 + 14.4385i) q^{90} +(-7.74520 + 2.34948i) q^{91} +(0.322538 + 0.226088i) q^{92} +(2.96073 - 0.498094i) q^{93} +(14.5311 - 5.82981i) q^{94} +(-2.50802 + 2.50802i) q^{95} +(-7.65216 - 6.11919i) q^{96} +(-4.54913 - 4.54913i) q^{97} +(5.95817 + 2.54624i) q^{98} +(8.83352 + 5.41864i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} + O(q^{10}) \) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} - 32q^{10} - 16q^{12} - 32q^{13} - 16q^{15} - 32q^{16} - 16q^{18} - 32q^{19} - 16q^{21} - 32q^{22} - 16q^{24} - 32q^{25} - 16q^{27} - 32q^{28} - 16q^{30} - 32q^{31} - 16q^{33} - 32q^{34} - 16q^{36} - 32q^{37} - 16q^{39} - 32q^{40} - 16q^{42} - 32q^{43} - 16q^{45} - 32q^{46} - 16q^{48} - 32q^{49} - 16q^{51} - 128q^{52} - 16q^{54} - 32q^{55} - 16q^{57} - 320q^{58} - 16q^{60} - 32q^{61} - 32q^{63} - 224q^{64} - 16q^{66} - 32q^{67} - 16q^{69} - 224q^{70} - 16q^{72} - 32q^{73} - 16q^{75} - 256q^{76} - 16q^{78} - 32q^{79} - 16q^{81} - 32q^{82} - 16q^{84} - 32q^{85} - 16q^{87} - 32q^{88} - 16q^{90} - 32q^{91} - 16q^{93} - 32q^{94} - 16q^{96} - 32q^{97} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{21}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.41413 0.0157861i −0.999938 0.0111624i
\(3\) 1.41096 + 1.00458i 0.814619 + 0.579997i
\(4\) 1.99950 + 0.0446470i 0.999751 + 0.0223235i
\(5\) −3.04456 1.62735i −1.36157 0.727773i −0.381115 0.924528i \(-0.624460\pi\)
−0.980453 + 0.196754i \(0.936960\pi\)
\(6\) −1.97942 1.44288i −0.808094 0.589054i
\(7\) −1.52522 0.303386i −0.576480 0.114669i −0.101765 0.994808i \(-0.532449\pi\)
−0.474715 + 0.880139i \(0.657449\pi\)
\(8\) −2.82684 0.0947007i −0.999439 0.0334817i
\(9\) 0.981620 + 2.83486i 0.327207 + 0.944953i
\(10\) 4.27970 + 2.34934i 1.35336 + 0.742926i
\(11\) 2.67025 2.19142i 0.805110 0.660737i −0.139027 0.990289i \(-0.544398\pi\)
0.944138 + 0.329552i \(0.106898\pi\)
\(12\) 2.77637 + 2.07166i 0.801468 + 0.598038i
\(13\) 4.59006 2.45344i 1.27305 0.680461i 0.310248 0.950656i \(-0.399588\pi\)
0.962806 + 0.270194i \(0.0870879\pi\)
\(14\) 2.15207 + 0.453103i 0.575164 + 0.121097i
\(15\) −2.66094 5.35464i −0.687052 1.38256i
\(16\) 3.99601 + 0.178543i 0.999003 + 0.0446358i
\(17\) 6.42766 2.66242i 1.55894 0.645733i 0.574032 0.818833i \(-0.305378\pi\)
0.984904 + 0.173100i \(0.0553784\pi\)
\(18\) −1.34338 4.02434i −0.316638 0.948546i
\(19\) 0.298247 0.983188i 0.0684225 0.225559i −0.916060 0.401041i \(-0.868648\pi\)
0.984483 + 0.175482i \(0.0561485\pi\)
\(20\) −6.01494 3.38982i −1.34498 0.757987i
\(21\) −1.84725 1.96028i −0.403104 0.427768i
\(22\) −3.81066 + 3.05678i −0.812435 + 0.651709i
\(23\) 0.163752 + 0.109416i 0.0341447 + 0.0228148i 0.572525 0.819887i \(-0.305964\pi\)
−0.538381 + 0.842702i \(0.680964\pi\)
\(24\) −3.89343 2.97342i −0.794742 0.606947i
\(25\) 3.84322 + 5.75178i 0.768643 + 1.15036i
\(26\) −6.52965 + 3.39701i −1.28057 + 0.666209i
\(27\) −1.46283 + 4.98599i −0.281521 + 0.959555i
\(28\) −3.03614 0.674717i −0.573777 0.127509i
\(29\) 2.73085 + 2.24115i 0.507107 + 0.416172i 0.852849 0.522158i \(-0.174873\pi\)
−0.345742 + 0.938330i \(0.612373\pi\)
\(30\) 3.67838 + 7.61414i 0.671576 + 1.39015i
\(31\) 1.22570 1.22570i 0.220142 0.220142i −0.588416 0.808558i \(-0.700248\pi\)
0.808558 + 0.588416i \(0.200248\pi\)
\(32\) −5.64805 0.315564i −0.998443 0.0557844i
\(33\) 5.96908 0.409512i 1.03908 0.0712869i
\(34\) −9.13155 + 3.66353i −1.56605 + 0.628291i
\(35\) 4.14992 + 3.40575i 0.701464 + 0.575676i
\(36\) 1.83618 + 5.71213i 0.306030 + 0.952022i
\(37\) −1.88884 6.22666i −0.310523 1.02366i −0.963820 0.266555i \(-0.914115\pi\)
0.653297 0.757102i \(-0.273385\pi\)
\(38\) −0.437279 + 1.38564i −0.0709361 + 0.224781i
\(39\) 8.94108 + 1.14940i 1.43172 + 0.184051i
\(40\) 8.45237 + 4.88858i 1.33644 + 0.772953i
\(41\) −4.53730 3.03173i −0.708607 0.473476i 0.148303 0.988942i \(-0.452619\pi\)
−0.856910 + 0.515466i \(0.827619\pi\)
\(42\) 2.58130 + 2.80124i 0.398304 + 0.432241i
\(43\) 0.466164 4.73304i 0.0710894 0.721783i −0.891898 0.452236i \(-0.850626\pi\)
0.962987 0.269546i \(-0.0868737\pi\)
\(44\) 5.43701 4.26252i 0.819659 0.642599i
\(45\) 1.62471 10.2283i 0.242197 1.52475i
\(46\) −0.229839 0.157313i −0.0338879 0.0231945i
\(47\) −10.2284 + 4.23674i −1.49196 + 0.617992i −0.971743 0.236040i \(-0.924150\pi\)
−0.520220 + 0.854032i \(0.674150\pi\)
\(48\) 5.45886 + 4.26625i 0.787918 + 0.615780i
\(49\) −4.23289 1.75332i −0.604699 0.250475i
\(50\) −5.34399 8.19441i −0.755754 1.15886i
\(51\) 11.7438 + 2.70055i 1.64446 + 0.378153i
\(52\) 9.28737 4.70072i 1.28793 0.651873i
\(53\) 4.04256 3.31764i 0.555288 0.455713i −0.314417 0.949285i \(-0.601809\pi\)
0.869705 + 0.493572i \(0.164309\pi\)
\(54\) 2.14733 7.02773i 0.292215 0.956353i
\(55\) −11.6959 + 2.32646i −1.57708 + 0.313700i
\(56\) 4.28283 + 1.00206i 0.572318 + 0.133906i
\(57\) 1.40851 1.08763i 0.186562 0.144060i
\(58\) −3.82639 3.21238i −0.502430 0.421807i
\(59\) 9.79858 + 5.23745i 1.27567 + 0.681858i 0.963382 0.268131i \(-0.0864061\pi\)
0.312283 + 0.949989i \(0.398906\pi\)
\(60\) −5.08149 10.8254i −0.656017 1.39756i
\(61\) 0.457617 + 4.64626i 0.0585918 + 0.594893i 0.978990 + 0.203910i \(0.0653649\pi\)
−0.920398 + 0.390983i \(0.872135\pi\)
\(62\) −1.75264 + 1.71394i −0.222585 + 0.217671i
\(63\) −0.637134 4.62160i −0.0802713 0.582267i
\(64\) 7.98206 + 0.535408i 0.997758 + 0.0669259i
\(65\) −17.9673 −2.22857
\(66\) −8.44749 + 0.484873i −1.03981 + 0.0596837i
\(67\) 0.872973 0.0859804i 0.106651 0.0105042i −0.0445510 0.999007i \(-0.514186\pi\)
0.151202 + 0.988503i \(0.451686\pi\)
\(68\) 12.9710 5.03655i 1.57296 0.610771i
\(69\) 0.121131 + 0.318884i 0.0145824 + 0.0383892i
\(70\) −5.81474 4.88166i −0.694994 0.583471i
\(71\) 9.11712 + 1.81351i 1.08200 + 0.215224i 0.703728 0.710470i \(-0.251517\pi\)
0.378275 + 0.925693i \(0.376517\pi\)
\(72\) −2.50642 8.10665i −0.295385 0.955378i
\(73\) −1.24543 6.26118i −0.145766 0.732815i −0.982655 0.185443i \(-0.940628\pi\)
0.836889 0.547373i \(-0.184372\pi\)
\(74\) 2.57276 + 8.83510i 0.299077 + 1.02706i
\(75\) −0.355521 + 11.9764i −0.0410521 + 1.38291i
\(76\) 0.640242 1.95257i 0.0734407 0.223975i
\(77\) −4.73757 + 2.53228i −0.539896 + 0.288580i
\(78\) −12.6257 1.76654i −1.42958 0.200021i
\(79\) 0.950389 2.29444i 0.106927 0.258145i −0.861355 0.508003i \(-0.830384\pi\)
0.968282 + 0.249858i \(0.0803839\pi\)
\(80\) −11.8755 7.04650i −1.32773 0.787823i
\(81\) −7.07284 + 5.56551i −0.785872 + 0.618390i
\(82\) 6.36845 + 4.35887i 0.703278 + 0.481356i
\(83\) −3.96925 + 13.0849i −0.435682 + 1.43625i 0.414638 + 0.909986i \(0.363908\pi\)
−0.850320 + 0.526265i \(0.823592\pi\)
\(84\) −3.60606 4.00206i −0.393454 0.436660i
\(85\) −23.9021 2.35415i −2.59255 0.255343i
\(86\) −0.733931 + 6.68576i −0.0791418 + 0.720944i
\(87\) 1.60170 + 5.90555i 0.171720 + 0.633142i
\(88\) −7.75590 + 5.94191i −0.826781 + 0.633410i
\(89\) 5.57655 + 8.34589i 0.591113 + 0.884663i 0.999605 0.0280988i \(-0.00894530\pi\)
−0.408492 + 0.912762i \(0.633945\pi\)
\(90\) −2.45901 + 14.4385i −0.259202 + 1.52195i
\(91\) −7.74520 + 2.34948i −0.811918 + 0.246293i
\(92\) 0.322538 + 0.226088i 0.0336269 + 0.0235713i
\(93\) 2.96073 0.498094i 0.307013 0.0516499i
\(94\) 14.5311 5.82981i 1.49877 0.601299i
\(95\) −2.50802 + 2.50802i −0.257318 + 0.257318i
\(96\) −7.65216 6.11919i −0.780995 0.624537i
\(97\) −4.54913 4.54913i −0.461894 0.461894i 0.437382 0.899276i \(-0.355906\pi\)
−0.899276 + 0.437382i \(0.855906\pi\)
\(98\) 5.95817 + 2.54624i 0.601866 + 0.257209i
\(99\) 8.83352 + 5.41864i 0.887803 + 0.544594i
\(100\) 7.42772 + 11.6723i 0.742772 + 1.16723i
\(101\) −2.21026 7.28625i −0.219929 0.725009i −0.995586 0.0938541i \(-0.970081\pi\)
0.775657 0.631155i \(-0.217419\pi\)
\(102\) −16.5646 4.00431i −1.64014 0.396486i
\(103\) −2.36845 + 1.58254i −0.233370 + 0.155933i −0.666757 0.745275i \(-0.732318\pi\)
0.433387 + 0.901208i \(0.357318\pi\)
\(104\) −13.2077 + 6.50080i −1.29512 + 0.637456i
\(105\) 2.43401 + 8.97432i 0.237535 + 0.875804i
\(106\) −5.76906 + 4.62774i −0.560340 + 0.449486i
\(107\) 0.966288 9.81089i 0.0934146 0.948454i −0.828222 0.560400i \(-0.810647\pi\)
0.921637 0.388054i \(-0.126853\pi\)
\(108\) −3.14754 + 9.90419i −0.302872 + 0.953031i
\(109\) 6.65444 + 2.01860i 0.637379 + 0.193347i 0.592404 0.805641i \(-0.298179\pi\)
0.0449756 + 0.998988i \(0.485679\pi\)
\(110\) 16.5762 3.10528i 1.58048 0.296077i
\(111\) 3.59013 10.6831i 0.340760 1.01399i
\(112\) −6.04064 1.48465i −0.570787 0.140286i
\(113\) −16.7539 6.93969i −1.57607 0.652831i −0.588288 0.808652i \(-0.700198\pi\)
−0.987785 + 0.155821i \(0.950198\pi\)
\(114\) −2.00898 + 1.51580i −0.188158 + 0.141968i
\(115\) −0.320495 0.599605i −0.0298864 0.0559134i
\(116\) 5.36029 + 4.60312i 0.497690 + 0.427389i
\(117\) 11.4608 + 10.6038i 1.05956 + 0.980324i
\(118\) −13.7737 7.56109i −1.26798 0.696055i
\(119\) −10.6114 + 2.11073i −0.972741 + 0.193490i
\(120\) 7.01497 + 15.3887i 0.640376 + 1.40479i
\(121\) 0.181928 0.914612i 0.0165389 0.0831465i
\(122\) −0.573781 6.57762i −0.0519477 0.595510i
\(123\) −3.35633 8.83575i −0.302630 0.796693i
\(124\) 2.50551 2.39606i 0.225001 0.215172i
\(125\) −0.648867 6.58806i −0.0580364 0.589254i
\(126\) 0.828030 + 6.54558i 0.0737668 + 0.583127i
\(127\) 21.9286i 1.94585i 0.231128 + 0.972923i \(0.425758\pi\)
−0.231128 + 0.972923i \(0.574242\pi\)
\(128\) −11.2792 0.883139i −0.996949 0.0780592i
\(129\) 5.41248 6.20984i 0.476543 0.546746i
\(130\) 25.4080 + 0.283633i 2.22843 + 0.0248763i
\(131\) −13.9940 + 1.37829i −1.22266 + 0.120422i −0.688676 0.725069i \(-0.741808\pi\)
−0.533989 + 0.845491i \(0.679308\pi\)
\(132\) 11.9535 0.552319i 1.04042 0.0480732i
\(133\) −0.753178 + 1.40910i −0.0653088 + 0.122184i
\(134\) −1.23585 + 0.107806i −0.106761 + 0.00931304i
\(135\) 12.5676 12.7996i 1.08165 1.10162i
\(136\) −18.4221 + 6.91755i −1.57968 + 0.593175i
\(137\) −3.42173 17.2022i −0.292338 1.46968i −0.795744 0.605633i \(-0.792920\pi\)
0.503406 0.864050i \(-0.332080\pi\)
\(138\) −0.166260 0.452855i −0.0141530 0.0385495i
\(139\) 9.13396 + 11.1298i 0.774732 + 0.944014i 0.999538 0.0303897i \(-0.00967482\pi\)
−0.224806 + 0.974404i \(0.572175\pi\)
\(140\) 8.14571 + 6.99508i 0.688438 + 0.591192i
\(141\) −18.6880 4.29741i −1.57381 0.361907i
\(142\) −12.8641 2.70845i −1.07953 0.227288i
\(143\) 6.88010 16.6100i 0.575343 1.38900i
\(144\) 3.41642 + 11.5034i 0.284702 + 0.958616i
\(145\) −4.66710 11.2674i −0.387582 0.935705i
\(146\) 1.66235 + 8.87375i 0.137577 + 0.734397i
\(147\) −4.21109 6.72617i −0.347325 0.554765i
\(148\) −3.49873 12.5346i −0.287594 1.03033i
\(149\) 16.5789 + 1.63288i 1.35820 + 0.133771i 0.750749 0.660587i \(-0.229693\pi\)
0.607450 + 0.794358i \(0.292193\pi\)
\(150\) 0.691812 16.9305i 0.0564862 1.38237i
\(151\) −13.1300 + 19.6504i −1.06850 + 1.59912i −0.306123 + 0.951992i \(0.599032\pi\)
−0.762378 + 0.647132i \(0.775968\pi\)
\(152\) −0.936205 + 2.75107i −0.0759363 + 0.223141i
\(153\) 13.8571 + 15.6080i 1.12028 + 1.26183i
\(154\) 6.73949 3.50618i 0.543084 0.282536i
\(155\) −5.72634 + 1.73707i −0.459951 + 0.139525i
\(156\) 17.8264 + 2.69742i 1.42725 + 0.215966i
\(157\) 9.59358 11.6898i 0.765651 0.932948i −0.233573 0.972339i \(-0.575042\pi\)
0.999224 + 0.0393908i \(0.0125417\pi\)
\(158\) −1.38019 + 3.22963i −0.109802 + 0.256935i
\(159\) 9.03674 0.619971i 0.716660 0.0491669i
\(160\) 16.6823 + 10.1521i 1.31885 + 0.802594i
\(161\) −0.216563 0.216563i −0.0170676 0.0170676i
\(162\) 10.0897 7.75867i 0.792725 0.609579i
\(163\) 5.17209 6.30221i 0.405109 0.493627i −0.529995 0.848001i \(-0.677806\pi\)
0.935104 + 0.354374i \(0.115306\pi\)
\(164\) −8.93698 6.26452i −0.697861 0.489177i
\(165\) −18.8396 8.46700i −1.46666 0.659155i
\(166\) 5.81958 18.4410i 0.451687 1.43130i
\(167\) 1.05646 0.705903i 0.0817512 0.0546244i −0.514023 0.857776i \(-0.671845\pi\)
0.595774 + 0.803152i \(0.296845\pi\)
\(168\) 5.03625 + 5.71634i 0.388555 + 0.441025i
\(169\) 7.82688 11.7138i 0.602068 0.901059i
\(170\) 33.7634 + 3.70638i 2.58953 + 0.284267i
\(171\) 3.07996 0.119630i 0.235531 0.00914830i
\(172\) 1.14341 9.44292i 0.0871844 0.720016i
\(173\) 12.4482 + 3.77612i 0.946420 + 0.287093i 0.725518 0.688203i \(-0.241600\pi\)
0.220901 + 0.975296i \(0.429100\pi\)
\(174\) −2.17178 8.37648i −0.164642 0.635019i
\(175\) −4.11675 9.93872i −0.311197 0.751297i
\(176\) 11.0616 8.28017i 0.833800 0.624142i
\(177\) 8.56395 + 17.2333i 0.643706 + 1.29534i
\(178\) −7.75419 11.8902i −0.581201 0.891206i
\(179\) 7.86782 + 14.7197i 0.588068 + 1.10020i 0.983364 + 0.181645i \(0.0581421\pi\)
−0.395296 + 0.918554i \(0.629358\pi\)
\(180\) 3.70527 20.3790i 0.276175 1.51896i
\(181\) 1.98785 + 2.42220i 0.147755 + 0.180041i 0.841629 0.540057i \(-0.181597\pi\)
−0.693873 + 0.720097i \(0.744097\pi\)
\(182\) 10.9898 3.20020i 0.814617 0.237214i
\(183\) −4.02188 + 7.01541i −0.297306 + 0.518594i
\(184\) −0.452540 0.324808i −0.0333617 0.0239452i
\(185\) −4.38229 + 22.0312i −0.322192 + 1.61977i
\(186\) −4.19470 + 0.657629i −0.307570 + 0.0482197i
\(187\) 11.3290 21.1950i 0.828456 1.54993i
\(188\) −20.6408 + 8.01470i −1.50539 + 0.584532i
\(189\) 3.74382 7.16095i 0.272323 0.520883i
\(190\) 3.58625 3.50707i 0.260174 0.254429i
\(191\) 15.7847i 1.14214i −0.820901 0.571071i \(-0.806528\pi\)
0.820901 0.571071i \(-0.193472\pi\)
\(192\) 10.7245 + 8.77410i 0.773975 + 0.633216i
\(193\) 19.9861i 1.43863i 0.694684 + 0.719315i \(0.255544\pi\)
−0.694684 + 0.719315i \(0.744456\pi\)
\(194\) 6.36123 + 6.50486i 0.456710 + 0.467022i
\(195\) −25.3512 18.0497i −1.81544 1.29256i
\(196\) −8.38540 3.69476i −0.598957 0.263911i
\(197\) −0.563286 + 1.05383i −0.0401324 + 0.0750825i −0.901188 0.433428i \(-0.857304\pi\)
0.861056 + 0.508511i \(0.169804\pi\)
\(198\) −12.4062 7.80208i −0.881668 0.554470i
\(199\) −2.54636 + 12.8014i −0.180507 + 0.907469i 0.779267 + 0.626693i \(0.215592\pi\)
−0.959773 + 0.280776i \(0.909408\pi\)
\(200\) −10.3195 16.6233i −0.729696 1.17545i
\(201\) 1.31811 + 0.755660i 0.0929720 + 0.0533002i
\(202\) 3.01056 + 10.3386i 0.211822 + 0.727419i
\(203\) −3.48523 4.24676i −0.244615 0.298064i
\(204\) 23.3612 + 5.92408i 1.63561 + 0.414769i
\(205\) 8.88039 + 16.6140i 0.620233 + 1.16038i
\(206\) 3.37426 2.20053i 0.235096 0.153318i
\(207\) −0.149436 + 0.571619i −0.0103865 + 0.0397303i
\(208\) 18.7800 8.98445i 1.30216 0.622959i
\(209\) −1.35818 3.27894i −0.0939474 0.226809i
\(210\) −3.30032 12.7292i −0.227744 0.878400i
\(211\) −17.3776 5.27145i −1.19633 0.362901i −0.371578 0.928402i \(-0.621183\pi\)
−0.824748 + 0.565500i \(0.808683\pi\)
\(212\) 8.23122 6.45314i 0.565323 0.443204i
\(213\) 11.0421 + 11.7177i 0.756590 + 0.802884i
\(214\) −1.52133 + 13.8586i −0.103996 + 0.947352i
\(215\) −9.12159 + 13.6514i −0.622087 + 0.931019i
\(216\) 4.60736 13.9561i 0.313491 0.949591i
\(217\) −2.24132 + 1.49760i −0.152151 + 0.101664i
\(218\) −9.37834 2.95960i −0.635182 0.200450i
\(219\) 4.53264 10.0854i 0.306287 0.681509i
\(220\) −23.4899 + 4.12958i −1.58369 + 0.278416i
\(221\) 22.9713 27.9906i 1.54521 1.88285i
\(222\) −5.24554 + 15.0505i −0.352058 + 1.01013i
\(223\) −13.4715 13.4715i −0.902120 0.902120i 0.0934993 0.995619i \(-0.470195\pi\)
−0.995619 + 0.0934993i \(0.970195\pi\)
\(224\) 8.51879 + 2.19484i 0.569186 + 0.146649i
\(225\) −12.5329 + 16.5410i −0.835527 + 1.10274i
\(226\) 23.5825 + 10.0781i 1.56869 + 0.670383i
\(227\) −3.18562 + 3.88168i −0.211437 + 0.257636i −0.867920 0.496704i \(-0.834543\pi\)
0.656483 + 0.754341i \(0.272043\pi\)
\(228\) 2.86488 2.11182i 0.189731 0.139859i
\(229\) −20.5213 + 6.22508i −1.35609 + 0.411365i −0.882885 0.469589i \(-0.844402\pi\)
−0.473202 + 0.880954i \(0.656902\pi\)
\(230\) 0.443755 + 0.852976i 0.0292604 + 0.0562436i
\(231\) −9.22841 1.18634i −0.607185 0.0780552i
\(232\) −7.50745 6.59400i −0.492888 0.432917i
\(233\) 6.65616 9.96165i 0.436060 0.652610i −0.546736 0.837305i \(-0.684130\pi\)
0.982796 + 0.184695i \(0.0591299\pi\)
\(234\) −16.0397 15.1761i −1.04855 0.992090i
\(235\) 38.0356 + 3.74618i 2.48117 + 0.244374i
\(236\) 19.3584 + 10.9098i 1.26013 + 0.710165i
\(237\) 3.64592 2.28262i 0.236828 0.148272i
\(238\) 15.0391 2.81733i 0.974841 0.182620i
\(239\) 6.78605 + 16.3830i 0.438953 + 1.05973i 0.976311 + 0.216372i \(0.0694224\pi\)
−0.537358 + 0.843354i \(0.680578\pi\)
\(240\) −9.67712 21.8723i −0.624655 1.41185i
\(241\) −9.24044 + 22.3084i −0.595229 + 1.43701i 0.283165 + 0.959071i \(0.408616\pi\)
−0.878393 + 0.477938i \(0.841384\pi\)
\(242\) −0.271707 + 1.29050i −0.0174660 + 0.0829567i
\(243\) −15.5705 + 0.747443i −0.998850 + 0.0479485i
\(244\) 0.707564 + 9.31064i 0.0452971 + 0.596052i
\(245\) 10.0340 + 12.2265i 0.641050 + 0.781122i
\(246\) 4.60678 + 12.5478i 0.293718 + 0.800021i
\(247\) −1.04322 5.24462i −0.0663785 0.333707i
\(248\) −3.58092 + 3.34878i −0.227389 + 0.212647i
\(249\) −18.7453 + 14.4748i −1.18794 + 0.917303i
\(250\) 0.813580 + 9.32658i 0.0514553 + 0.589865i
\(251\) 1.62829 3.04633i 0.102777 0.192282i −0.825277 0.564729i \(-0.808981\pi\)
0.928054 + 0.372446i \(0.121481\pi\)
\(252\) −1.06761 9.26934i −0.0672531 0.583914i
\(253\) 0.677034 0.0666821i 0.0425648 0.00419227i
\(254\) 0.346166 31.0098i 0.0217204 1.94573i
\(255\) −31.3600 27.3333i −1.96384 1.71168i
\(256\) 15.9362 + 1.42692i 0.996015 + 0.0891827i
\(257\) 13.1980i 0.823270i 0.911349 + 0.411635i \(0.135042\pi\)
−0.911349 + 0.411635i \(0.864958\pi\)
\(258\) −7.75196 + 8.69605i −0.482616 + 0.541392i
\(259\) 0.991818 + 10.0701i 0.0616286 + 0.625725i
\(260\) −35.9257 0.802186i −2.22802 0.0497495i
\(261\) −3.67269 + 9.94155i −0.227334 + 0.615366i
\(262\) 19.8111 1.72817i 1.22393 0.106767i
\(263\) −2.66816 + 13.4138i −0.164526 + 0.827129i 0.807065 + 0.590463i \(0.201055\pi\)
−0.971591 + 0.236666i \(0.923945\pi\)
\(264\) −16.9124 + 0.592350i −1.04089 + 0.0364566i
\(265\) −17.7068 + 3.52209i −1.08772 + 0.216361i
\(266\) 1.08733 1.98075i 0.0666686 0.121448i
\(267\) −0.515866 + 17.3778i −0.0315705 + 1.06351i
\(268\) 1.74935 0.132942i 0.106859 0.00812074i
\(269\) −8.79156 16.4479i −0.536031 1.00284i −0.993523 0.113630i \(-0.963752\pi\)
0.457492 0.889214i \(-0.348748\pi\)
\(270\) −17.9743 + 17.9019i −1.09388 + 1.08947i
\(271\) 4.81177 + 1.99310i 0.292294 + 0.121072i 0.524012 0.851711i \(-0.324435\pi\)
−0.231718 + 0.972783i \(0.574435\pi\)
\(272\) 26.1604 9.49147i 1.58621 0.575505i
\(273\) −13.2884 4.46569i −0.804252 0.270276i
\(274\) 4.56720 + 24.3801i 0.275915 + 1.47285i
\(275\) 22.8669 + 6.93659i 1.37892 + 0.418292i
\(276\) 0.227964 + 0.643018i 0.0137218 + 0.0387051i
\(277\) 0.877796 8.91241i 0.0527416 0.535495i −0.932120 0.362151i \(-0.882043\pi\)
0.984861 0.173344i \(-0.0554574\pi\)
\(278\) −12.7409 15.8831i −0.764146 0.952603i
\(279\) 4.67785 + 2.27151i 0.280055 + 0.135992i
\(280\) −11.4086 10.0205i −0.681796 0.598840i
\(281\) 8.48033 5.66638i 0.505894 0.338028i −0.276291 0.961074i \(-0.589105\pi\)
0.782185 + 0.623046i \(0.214105\pi\)
\(282\) 26.3594 + 6.37209i 1.56968 + 0.379452i
\(283\) 4.62082 + 15.2328i 0.274679 + 0.905495i 0.980402 + 0.197007i \(0.0631223\pi\)
−0.705723 + 0.708488i \(0.749378\pi\)
\(284\) 18.1487 + 4.03316i 1.07693 + 0.239324i
\(285\) −6.05824 + 1.01920i −0.358859 + 0.0603722i
\(286\) −9.99153 + 23.3800i −0.590811 + 1.38249i
\(287\) 6.00061 + 6.00061i 0.354205 + 0.354205i
\(288\) −4.64966 16.3212i −0.273984 0.961734i
\(289\) 22.2055 22.2055i 1.30621 1.30621i
\(290\) 6.42200 + 16.0072i 0.377113 + 0.939973i
\(291\) −1.84866 10.9886i −0.108370 0.644165i
\(292\) −2.21069 12.5748i −0.129371 0.735887i
\(293\) 8.03966 2.43880i 0.469682 0.142476i −0.0465668 0.998915i \(-0.514828\pi\)
0.516249 + 0.856439i \(0.327328\pi\)
\(294\) 5.84883 + 9.57812i 0.341110 + 0.558608i
\(295\) −21.3092 31.8914i −1.24067 1.85679i
\(296\) 4.74977 + 17.7807i 0.276075 + 1.03348i
\(297\) 7.02027 + 16.5195i 0.407358 + 0.958559i
\(298\) −23.4189 2.57082i −1.35662 0.148923i
\(299\) 1.02008 + 0.100469i 0.0589926 + 0.00581026i
\(300\) −1.24557 + 23.9309i −0.0719133 + 1.38165i
\(301\) −2.14694 + 7.07752i −0.123748 + 0.407941i
\(302\) 18.8776 27.5808i 1.08628 1.58710i
\(303\) 4.20106 12.5010i 0.241345 0.718164i
\(304\) 1.36734 3.87558i 0.0784223 0.222280i
\(305\) 6.16785 14.8905i 0.353170 0.852628i
\(306\) −19.3493 22.2904i −1.10613 1.27426i
\(307\) 17.8819 9.55809i 1.02058 0.545509i 0.125814 0.992054i \(-0.459846\pi\)
0.894761 + 0.446545i \(0.147346\pi\)
\(308\) −9.58583 + 4.85179i −0.546204 + 0.276456i
\(309\) −4.93158 0.146395i −0.280548 0.00832814i
\(310\) 8.12519 2.36603i 0.461480 0.134382i
\(311\) −1.44989 7.28908i −0.0822156 0.413326i −0.999873 0.0159526i \(-0.994922\pi\)
0.917657 0.397373i \(-0.130078\pi\)
\(312\) −25.1662 4.09589i −1.42475 0.231884i
\(313\) −22.5796 4.49137i −1.27628 0.253867i −0.489990 0.871728i \(-0.662999\pi\)
−0.786287 + 0.617861i \(0.787999\pi\)
\(314\) −13.7511 + 16.3794i −0.776017 + 0.924344i
\(315\) −5.58117 + 15.1076i −0.314463 + 0.851215i
\(316\) 2.00274 4.54531i 0.112663 0.255694i
\(317\) −22.1152 + 2.17816i −1.24211 + 0.122337i −0.697645 0.716444i \(-0.745769\pi\)
−0.544468 + 0.838781i \(0.683269\pi\)
\(318\) −12.7889 + 0.734062i −0.717164 + 0.0411641i
\(319\) 12.2034 0.683257
\(320\) −23.4306 14.6197i −1.30981 0.817266i
\(321\) 11.2193 12.8721i 0.626198 0.718448i
\(322\) 0.302829 + 0.309667i 0.0168760 + 0.0172570i
\(323\) −0.700634 7.11366i −0.0389843 0.395815i
\(324\) −14.3906 + 10.8125i −0.799480 + 0.600692i
\(325\) 31.7522 + 16.9719i 1.76130 + 0.941433i
\(326\) −7.41347 + 8.83046i −0.410594 + 0.489074i
\(327\) 7.36129 + 9.53311i 0.407080 + 0.527182i
\(328\) 12.5391 + 8.99990i 0.692357 + 0.496936i
\(329\) 16.8859 3.35882i 0.930952 0.185178i
\(330\) 26.5079 + 12.2708i 1.45921 + 0.675485i
\(331\) 7.50527 6.15941i 0.412527 0.338552i −0.405129 0.914260i \(-0.632773\pi\)
0.817656 + 0.575708i \(0.195273\pi\)
\(332\) −8.52073 + 25.9860i −0.467636 + 1.42617i
\(333\) 15.7976 11.4668i 0.865702 0.628377i
\(334\) −1.50511 + 0.981557i −0.0823558 + 0.0537084i
\(335\) −2.79774 1.15886i −0.152857 0.0633153i
\(336\) −7.03165 8.16312i −0.383608 0.445335i
\(337\) 0.760020 0.314810i 0.0414009 0.0171488i −0.361887 0.932222i \(-0.617867\pi\)
0.403288 + 0.915073i \(0.367867\pi\)
\(338\) −11.2531 + 16.4412i −0.612089 + 0.894282i
\(339\) −16.6676 26.6223i −0.905258 1.44593i
\(340\) −47.6871 5.77428i −2.58620 0.313154i
\(341\) 0.586903 5.95893i 0.0317826 0.322694i
\(342\) −4.35734 + 0.120551i −0.235618 + 0.00651863i
\(343\) 14.9753 + 10.0062i 0.808592 + 0.540284i
\(344\) −1.76599 + 13.3354i −0.0952161 + 0.718998i
\(345\) 0.150147 1.16798i 0.00808365 0.0628821i
\(346\) −17.5437 5.53642i −0.943156 0.297640i
\(347\) 0.891682 + 2.93948i 0.0478680 + 0.157800i 0.977616 0.210396i \(-0.0674755\pi\)
−0.929748 + 0.368196i \(0.879975\pi\)
\(348\) 2.93894 + 11.8797i 0.157543 + 0.636818i
\(349\) 2.05011 + 1.68248i 0.109740 + 0.0900611i 0.687663 0.726030i \(-0.258637\pi\)
−0.577923 + 0.816091i \(0.696137\pi\)
\(350\) 5.66471 + 14.1196i 0.302792 + 0.754724i
\(351\) 5.51836 + 26.4750i 0.294548 + 1.41313i
\(352\) −15.7732 + 11.5346i −0.840715 + 0.614795i
\(353\) −15.7330 + 15.7330i −0.837383 + 0.837383i −0.988514 0.151131i \(-0.951708\pi\)
0.151131 + 0.988514i \(0.451708\pi\)
\(354\) −11.8384 24.5053i −0.629206 1.30244i
\(355\) −24.8064 20.3581i −1.31659 1.08049i
\(356\) 10.7777 + 16.9366i 0.571217 + 0.897638i
\(357\) −17.0926 7.68185i −0.904637 0.406566i
\(358\) −10.8937 20.9396i −0.575751 1.10669i
\(359\) 3.23164 + 4.83650i 0.170560 + 0.255260i 0.906895 0.421356i \(-0.138446\pi\)
−0.736336 + 0.676616i \(0.763446\pi\)
\(360\) −5.56142 + 28.7600i −0.293113 + 1.51579i
\(361\) 14.9202 + 9.96937i 0.785274 + 0.524704i
\(362\) −2.77283 3.45667i −0.145737 0.181679i
\(363\) 1.17550 1.10772i 0.0616976 0.0581402i
\(364\) −15.5914 + 4.35199i −0.817214 + 0.228106i
\(365\) −6.39736 + 21.0893i −0.334853 + 1.10386i
\(366\) 5.79819 9.85717i 0.303076 0.515243i
\(367\) −16.6538 + 6.89822i −0.869320 + 0.360084i −0.772346 0.635203i \(-0.780917\pi\)
−0.0969748 + 0.995287i \(0.530917\pi\)
\(368\) 0.634821 + 0.466464i 0.0330923 + 0.0243161i
\(369\) 4.14061 15.8386i 0.215552 0.824525i
\(370\) 6.54489 31.0858i 0.340253 1.61607i
\(371\) −7.17233 + 3.83369i −0.372369 + 0.199035i
\(372\) 5.94221 0.863752i 0.308089 0.0447835i
\(373\) 8.07959 6.63075i 0.418346 0.343327i −0.401553 0.915836i \(-0.631530\pi\)
0.819899 + 0.572508i \(0.194030\pi\)
\(374\) −16.3552 + 29.7936i −0.845706 + 1.54059i
\(375\) 5.70273 9.94733i 0.294488 0.513678i
\(376\) 29.3153 11.0079i 1.51182 0.567692i
\(377\) 18.0333 + 3.58705i 0.928763 + 0.184743i
\(378\) −5.40727 + 10.0674i −0.278120 + 0.517810i
\(379\) −1.90745 1.01955i −0.0979789 0.0523708i 0.421679 0.906745i \(-0.361441\pi\)
−0.519658 + 0.854374i \(0.673941\pi\)
\(380\) −5.12677 + 4.90282i −0.262998 + 0.251509i
\(381\) −22.0291 + 30.9404i −1.12859 + 1.58512i
\(382\) −0.249179 + 22.3216i −0.0127491 + 1.14207i
\(383\) −14.8272 −0.757636 −0.378818 0.925471i \(-0.623669\pi\)
−0.378818 + 0.925471i \(0.623669\pi\)
\(384\) −15.0273 12.5770i −0.766859 0.641816i
\(385\) 18.5447 0.945126
\(386\) 0.315502 28.2628i 0.0160586 1.43854i
\(387\) 13.8751 3.32454i 0.705311 0.168996i
\(388\) −8.89289 9.29910i −0.451468 0.472090i
\(389\) −1.79831 0.961216i −0.0911778 0.0487356i 0.425178 0.905110i \(-0.360212\pi\)
−0.516355 + 0.856374i \(0.672712\pi\)
\(390\) 35.5648 + 25.9247i 1.80089 + 1.31275i
\(391\) 1.34385 + 0.267309i 0.0679617 + 0.0135184i
\(392\) 11.7997 + 5.35722i 0.595974 + 0.270581i
\(393\) −21.1297 12.1135i −1.06585 0.611044i
\(394\) 0.813192 1.48136i 0.0409680 0.0746299i
\(395\) −6.62737 + 5.43895i −0.333459 + 0.273663i
\(396\) 17.4207 + 11.2290i 0.875424 + 0.564277i
\(397\) 13.4754 7.20275i 0.676311 0.361496i −0.0972125 0.995264i \(-0.530993\pi\)
0.773523 + 0.633768i \(0.218493\pi\)
\(398\) 3.80296 18.0626i 0.190625 0.905397i
\(399\) −2.47826 + 1.23155i −0.124068 + 0.0616546i
\(400\) 14.3306 + 23.6704i 0.716530 + 1.18352i
\(401\) 17.2034 7.12587i 0.859095 0.355849i 0.0907416 0.995874i \(-0.471076\pi\)
0.768354 + 0.640026i \(0.221076\pi\)
\(402\) −1.85204 1.08941i −0.0923712 0.0543347i
\(403\) 2.61885 8.63319i 0.130454 0.430050i
\(404\) −4.09411 14.6675i −0.203690 0.729738i
\(405\) 30.5907 5.43452i 1.52007 0.270043i
\(406\) 4.86151 + 6.06047i 0.241273 + 0.300776i
\(407\) −18.6889 12.4875i −0.926373 0.618983i
\(408\) −32.9421 8.74618i −1.63088 0.433000i
\(409\) −2.53793 3.79828i −0.125492 0.187813i 0.763403 0.645922i \(-0.223527\pi\)
−0.888896 + 0.458109i \(0.848527\pi\)
\(410\) −12.2957 23.6345i −0.607242 1.16723i
\(411\) 12.4531 27.7090i 0.614268 1.36679i
\(412\) −4.80637 + 3.05856i −0.236793 + 0.150684i
\(413\) −13.3560 10.9610i −0.657208 0.539357i
\(414\) 0.220344 0.805982i 0.0108293 0.0396119i
\(415\) 33.3783 33.3783i 1.63848 1.63848i
\(416\) −26.6991 + 12.4087i −1.30903 + 0.608385i
\(417\) 1.70687 + 24.8795i 0.0835858 + 1.21835i
\(418\) 1.86888 + 4.65827i 0.0914098 + 0.227844i
\(419\) −21.2660 17.4525i −1.03891 0.852612i −0.0496492 0.998767i \(-0.515810\pi\)
−0.989262 + 0.146155i \(0.953310\pi\)
\(420\) 4.46612 + 18.0528i 0.217925 + 0.880888i
\(421\) 3.36105 + 11.0799i 0.163808 + 0.540001i 0.999964 0.00849001i \(-0.00270249\pi\)
−0.836156 + 0.548491i \(0.815202\pi\)
\(422\) 24.4909 + 7.72881i 1.19220 + 0.376233i
\(423\) −22.0509 24.8372i −1.07215 1.20762i
\(424\) −11.7419 + 8.99561i −0.570235 + 0.436866i
\(425\) 40.0166 + 26.7382i 1.94109 + 1.29699i
\(426\) −15.4299 16.7446i −0.747581 0.811279i
\(427\) 0.711642 7.22542i 0.0344387 0.349662i
\(428\) 2.37012 19.5737i 0.114564 0.946132i
\(429\) 26.3937 16.5245i 1.27430 0.797808i
\(430\) 13.1146 19.1608i 0.632441 0.924017i
\(431\) 15.8427 6.56228i 0.763118 0.316094i 0.0330369 0.999454i \(-0.489482\pi\)
0.730081 + 0.683360i \(0.239482\pi\)
\(432\) −6.73569 + 19.6629i −0.324071 + 0.946033i
\(433\) −15.5145 6.42633i −0.745581 0.308830i −0.0226438 0.999744i \(-0.507208\pi\)
−0.722937 + 0.690914i \(0.757208\pi\)
\(434\) 3.19315 2.08242i 0.153276 0.0999591i
\(435\) 4.73394 20.5863i 0.226975 0.987039i
\(436\) 13.2154 + 4.33330i 0.632904 + 0.207527i
\(437\) 0.156415 0.128366i 0.00748234 0.00614060i
\(438\) −6.56892 + 14.1905i −0.313875 + 0.678048i
\(439\) 3.13058 0.622712i 0.149415 0.0297204i −0.119816 0.992796i \(-0.538231\pi\)
0.269231 + 0.963076i \(0.413231\pi\)
\(440\) 33.2829 5.46893i 1.58670 0.260721i
\(441\) 0.815327 13.7208i 0.0388251 0.653369i
\(442\) −32.9261 + 39.2195i −1.56613 + 1.86548i
\(443\) −3.66635 1.95970i −0.174194 0.0931084i 0.381996 0.924164i \(-0.375237\pi\)
−0.556189 + 0.831056i \(0.687737\pi\)
\(444\) 7.65544 21.2005i 0.363311 1.00613i
\(445\) −3.39643 34.4846i −0.161006 1.63472i
\(446\) 18.8378 + 19.2631i 0.891994 + 0.912134i
\(447\) 21.7519 + 18.9589i 1.02883 + 0.896724i
\(448\) −12.0120 3.23826i −0.567513 0.152993i
\(449\) 24.8296 1.17178 0.585891 0.810390i \(-0.300745\pi\)
0.585891 + 0.810390i \(0.300745\pi\)
\(450\) 17.9842 23.1932i 0.847784 1.09334i
\(451\) −18.7595 + 1.84765i −0.883350 + 0.0870024i
\(452\) −33.1896 14.6239i −1.56111 0.687852i
\(453\) −38.2663 + 14.5357i −1.79791 + 0.682949i
\(454\) 4.56614 5.43890i 0.214299 0.255260i
\(455\) 27.4042 + 5.45103i 1.28473 + 0.255548i
\(456\) −4.08463 + 2.94116i −0.191281 + 0.137732i
\(457\) 4.87221 + 24.4942i 0.227912 + 1.14579i 0.910028 + 0.414547i \(0.136060\pi\)
−0.682116 + 0.731244i \(0.738940\pi\)
\(458\) 29.1180 8.47909i 1.36059 0.396202i
\(459\) 3.87227 + 35.9429i 0.180742 + 1.67767i
\(460\) −0.614061 1.21322i −0.0286307 0.0565667i
\(461\) −20.4425 + 10.9268i −0.952103 + 0.508910i −0.872873 0.487947i \(-0.837746\pi\)
−0.0792295 + 0.996856i \(0.525246\pi\)
\(462\) 13.0314 + 1.82331i 0.606276 + 0.0848280i
\(463\) −12.6157 + 30.4571i −0.586302 + 1.41546i 0.300711 + 0.953715i \(0.402776\pi\)
−0.887013 + 0.461744i \(0.847224\pi\)
\(464\) 10.5124 + 9.44326i 0.488025 + 0.438392i
\(465\) −9.82468 3.30166i −0.455608 0.153111i
\(466\) −9.56991 + 13.9820i −0.443317 + 0.647701i
\(467\) −10.4908 + 34.5834i −0.485454 + 1.60033i 0.282127 + 0.959377i \(0.408960\pi\)
−0.767581 + 0.640952i \(0.778540\pi\)
\(468\) 22.4426 + 21.7141i 1.03741 + 1.00373i
\(469\) −1.35756 0.133708i −0.0626865 0.00617408i
\(470\) −53.7279 5.89800i −2.47829 0.272054i
\(471\) 25.2796 6.85630i 1.16482 0.315922i
\(472\) −27.2030 15.7334i −1.25212 0.724187i
\(473\) −9.12730 13.6600i −0.419674 0.628086i
\(474\) −5.19182 + 3.17036i −0.238468 + 0.145619i
\(475\) 6.80131 2.06315i 0.312065 0.0946640i
\(476\) −21.3117 + 3.74664i −0.976818 + 0.171727i
\(477\) 13.3733 + 8.20341i 0.612321 + 0.375609i
\(478\) −9.33770 23.2747i −0.427097 1.06456i
\(479\) 4.86003 4.86003i 0.222060 0.222060i −0.587305 0.809366i \(-0.699811\pi\)
0.809366 + 0.587305i \(0.199811\pi\)
\(480\) 13.3394 + 31.0830i 0.608857 + 1.41874i
\(481\) −23.9466 23.9466i −1.09187 1.09187i
\(482\) 13.4193 31.4010i 0.611232 1.43028i
\(483\) −0.0880062 0.523119i −0.00400442 0.0238027i
\(484\) 0.404599 1.82065i 0.0183909 0.0827566i
\(485\) 6.44707 + 21.2531i 0.292746 + 0.965055i
\(486\) 22.0305 0.811180i 0.999323 0.0367959i
\(487\) 21.2982 14.2310i 0.965114 0.644869i 0.0301257 0.999546i \(-0.490409\pi\)
0.934989 + 0.354677i \(0.115409\pi\)
\(488\) −0.853606 13.1776i −0.0386409 0.596521i
\(489\) 13.6287 3.69637i 0.616312 0.167155i
\(490\) −13.9964 17.4482i −0.632291 0.788229i
\(491\) 0.487859 4.95332i 0.0220168 0.223540i −0.977880 0.209167i \(-0.932925\pi\)
0.999897 0.0143730i \(-0.00457522\pi\)
\(492\) −6.31649 17.8169i −0.284769 0.803250i
\(493\) 23.5199 + 7.13469i 1.05928 + 0.321330i
\(494\) 1.39245 + 7.43303i 0.0626494 + 0.334428i
\(495\) −18.0762 30.8726i −0.812463 1.38762i
\(496\) 5.11674 4.67906i 0.229748 0.210096i
\(497\) −13.3554 5.53201i −0.599073 0.248144i
\(498\) 26.7367 20.1733i 1.19810 0.903986i
\(499\) 7.97952 + 14.9286i 0.357213 + 0.668298i 0.994774 0.102102i \(-0.0325568\pi\)
−0.637561 + 0.770400i \(0.720057\pi\)
\(500\) −1.00327 13.2018i −0.0448678 0.590402i
\(501\) 2.19976 + 0.0653004i 0.0982780 + 0.00291741i
\(502\) −2.35070 + 4.28218i −0.104917 + 0.191123i
\(503\) −8.97703 + 1.78564i −0.400266 + 0.0796179i −0.391119 0.920340i \(-0.627912\pi\)
−0.00914750 + 0.999958i \(0.502912\pi\)
\(504\) 1.36341 + 13.1249i 0.0607310 + 0.584628i
\(505\) −5.12802 + 25.7803i −0.228194 + 1.14721i
\(506\) −0.958464 + 0.0836091i −0.0426089 + 0.00371688i
\(507\) 22.8109 8.66489i 1.01307 0.384821i
\(508\) −0.979044 + 43.8462i −0.0434381 + 1.94536i
\(509\) 0.323862 + 3.28822i 0.0143549 + 0.145748i 0.999690 0.0248801i \(-0.00792039\pi\)
−0.985336 + 0.170628i \(0.945420\pi\)
\(510\) 43.9154 + 39.1477i 1.94461 + 1.73349i
\(511\) 9.92754i 0.439168i
\(512\) −22.5133 2.26942i −0.994958 0.100295i
\(513\) 4.46589 + 2.92529i 0.197174 + 0.129155i
\(514\) 0.208345 18.6637i 0.00918970 0.823219i
\(515\) 9.78623 0.963859i 0.431233 0.0424727i
\(516\) 11.0995 12.1749i 0.488629 0.535971i
\(517\) −18.0279 + 33.7278i −0.792865 + 1.48335i
\(518\) −1.24359 14.2560i −0.0546401 0.626374i
\(519\) 13.7705 + 17.8332i 0.604458 + 0.782792i
\(520\) 50.7907 + 1.70152i 2.22732 + 0.0746164i
\(521\) 2.33418 + 11.7347i 0.102262 + 0.514107i 0.997632 + 0.0687826i \(0.0219115\pi\)
−0.895370 + 0.445324i \(0.853089\pi\)
\(522\) 5.35059 14.0006i 0.234189 0.612790i
\(523\) −12.3675 15.0699i −0.540794 0.658959i 0.428880 0.903361i \(-0.358908\pi\)
−0.969674 + 0.244402i \(0.921408\pi\)
\(524\) −28.0426 + 2.13111i −1.22505 + 0.0930978i
\(525\) 4.17571 18.1588i 0.182243 0.792514i
\(526\) 3.98487 18.9266i 0.173749 0.825241i
\(527\) 4.61504 11.1417i 0.201034 0.485340i
\(528\) 23.9256 0.570676i 1.04123 0.0248355i
\(529\) −8.78688 21.2134i −0.382038 0.922322i
\(530\) 25.0952 4.70116i 1.09007 0.204206i
\(531\) −5.22894 + 32.9188i −0.226917 + 1.42855i
\(532\) −1.56889 + 2.78387i −0.0680201 + 0.120696i
\(533\) −28.2646 2.78382i −1.22428 0.120581i
\(534\) 1.00383 24.5663i 0.0434398 1.06309i
\(535\) −18.9077 + 28.2973i −0.817450 + 1.22340i
\(536\) −2.47590 + 0.160382i −0.106943 + 0.00692743i
\(537\) −3.68595 + 28.6727i −0.159061 + 1.23732i
\(538\) 12.1727 + 23.3981i 0.524803 + 1.00876i
\(539\) −15.1451 + 4.59423i −0.652347 + 0.197887i
\(540\) 25.7004 25.0317i 1.10597 1.07719i
\(541\) −27.4661 + 33.4675i −1.18086 + 1.43888i −0.307676 + 0.951491i \(0.599551\pi\)
−0.873184 + 0.487391i \(0.837949\pi\)
\(542\) −6.77298 2.89445i −0.290924 0.124327i
\(543\) 0.371471 + 5.41459i 0.0159413 + 0.232362i
\(544\) −37.1439 + 13.0092i −1.59253 + 0.557763i
\(545\) −16.9749 16.9749i −0.727123 0.727123i
\(546\) 18.7210 + 6.52481i 0.801185 + 0.279236i
\(547\) 10.0139 12.2019i 0.428163 0.521718i −0.513585 0.858039i \(-0.671683\pi\)
0.941747 + 0.336321i \(0.109183\pi\)
\(548\) −6.07373 34.5486i −0.259457 1.47584i
\(549\) −12.7223 + 5.85814i −0.542974 + 0.250019i
\(550\) −32.2271 10.1702i −1.37417 0.433658i
\(551\) 3.01795 2.01653i 0.128569 0.0859069i
\(552\) −0.312218 0.912906i −0.0132889 0.0388559i
\(553\) −2.14566 + 3.21120i −0.0912425 + 0.136554i
\(554\) −1.38201 + 12.5894i −0.0587158 + 0.534873i
\(555\) −28.3155 + 26.6828i −1.20192 + 1.13262i
\(556\) 17.7665 + 22.6618i 0.753465 + 0.961073i
\(557\) −15.4903 4.69893i −0.656345 0.199100i −0.0554912 0.998459i \(-0.517672\pi\)
−0.600853 + 0.799359i \(0.705172\pi\)
\(558\) −6.57920 3.28604i −0.278520 0.139109i
\(559\) −9.47251 22.8687i −0.400645 0.967242i
\(560\) 15.9750 + 14.3504i 0.675069 + 0.606413i
\(561\) 37.2769 18.5244i 1.57383 0.782102i
\(562\) −12.0817 + 7.87910i −0.509636 + 0.332360i
\(563\) −4.75400 8.89410i −0.200357 0.374842i 0.761598 0.648050i \(-0.224415\pi\)
−0.961955 + 0.273208i \(0.911915\pi\)
\(564\) −37.1748 9.42704i −1.56534 0.396950i
\(565\) 39.7149 + 48.3927i 1.67082 + 2.03590i
\(566\) −6.29395 21.6140i −0.264554 0.908505i
\(567\) 12.4762 6.34284i 0.523949 0.266374i
\(568\) −25.6009 5.98989i −1.07419 0.251330i
\(569\) −1.73809 + 8.73797i −0.0728646 + 0.366315i −0.999964 0.00850092i \(-0.997294\pi\)
0.927099 + 0.374816i \(0.122294\pi\)
\(570\) 8.58320 1.34564i 0.359511 0.0563627i
\(571\) 3.56857 6.67633i 0.149340 0.279396i −0.796117 0.605143i \(-0.793116\pi\)
0.945457 + 0.325747i \(0.105616\pi\)
\(572\) 14.4984 32.9046i 0.606207 1.37581i
\(573\) 15.8571 22.2716i 0.662439 0.930410i
\(574\) −8.39089 8.58034i −0.350229 0.358137i
\(575\) 1.36237i 0.0568150i
\(576\) 6.31755 + 23.1536i 0.263231 + 0.964733i
\(577\) 39.2285i 1.63310i −0.577273 0.816551i \(-0.695883\pi\)
0.577273 0.816551i \(-0.304117\pi\)
\(578\) −31.7519 + 31.0508i −1.32070 + 1.29154i
\(579\) −20.0777 + 28.1996i −0.834401 + 1.17193i
\(580\) −8.82883 22.7375i −0.366597 0.944124i
\(581\) 10.0238 18.7531i 0.415856 0.778011i
\(582\) 2.44077 + 15.5685i 0.101173 + 0.645335i
\(583\) 3.52430 17.7179i 0.145962 0.733798i
\(584\) 2.92768 + 17.8173i 0.121148 + 0.737285i
\(585\) −17.6371 50.9348i −0.729203 2.10589i
\(586\) −11.4076 + 3.32186i −0.471243 + 0.137225i
\(587\) 0.608190 + 0.741082i 0.0251027 + 0.0305877i 0.785410 0.618975i \(-0.212452\pi\)
−0.760308 + 0.649563i \(0.774952\pi\)
\(588\) −8.11977 13.6370i −0.334854 0.562380i
\(589\) −0.839530 1.57065i −0.0345922 0.0647175i
\(590\) 29.6304 + 45.4349i 1.21986 + 1.87052i
\(591\) −1.85344 + 0.921049i −0.0762403 + 0.0378869i
\(592\) −6.43609 25.2191i −0.264522 1.03650i
\(593\) −7.83850 18.9238i −0.321889 0.777108i −0.999144 0.0413602i \(-0.986831\pi\)
0.677256 0.735748i \(-0.263169\pi\)
\(594\) −9.66677 23.4715i −0.396632 0.963046i
\(595\) 35.7418 + 10.8422i 1.46527 + 0.444485i
\(596\) 33.0767 + 4.00515i 1.35487 + 0.164057i
\(597\) −16.4529 + 15.5043i −0.673373 + 0.634547i
\(598\) −1.44093 0.158179i −0.0589241 0.00646840i
\(599\) −15.5298 + 23.2420i −0.634530 + 0.949641i 0.365294 + 0.930892i \(0.380968\pi\)
−0.999824 + 0.0187492i \(0.994032\pi\)
\(600\) 2.13917 33.8216i 0.0873314 1.38076i
\(601\) 28.8842 19.2998i 1.17821 0.787255i 0.197040 0.980395i \(-0.436867\pi\)
0.981171 + 0.193140i \(0.0618671\pi\)
\(602\) 3.14777 9.97461i 0.128294 0.406535i
\(603\) 1.10067 + 2.39036i 0.0448228 + 0.0973428i
\(604\) −27.1307 + 38.7047i −1.10393 + 1.57487i
\(605\) −2.04228 + 2.48853i −0.0830306 + 0.101173i
\(606\) −6.13817 + 17.6117i −0.249346 + 0.715425i
\(607\) 3.69149 + 3.69149i 0.149833 + 0.149833i 0.778043 0.628211i \(-0.216212\pi\)
−0.628211 + 0.778043i \(0.716212\pi\)
\(608\) −1.99477 + 5.45898i −0.0808986 + 0.221391i
\(609\) −0.651288 9.49322i −0.0263915 0.384685i
\(610\) −8.95718 + 20.9597i −0.362666 + 0.848633i
\(611\) −36.5543 + 44.5416i −1.47883 + 1.80196i
\(612\) 27.0105 + 31.8269i 1.09183 + 1.28653i
\(613\) −3.96581 + 1.20302i −0.160178 + 0.0485894i −0.369355 0.929288i \(-0.620421\pi\)
0.209177 + 0.977878i \(0.432921\pi\)
\(614\) −25.4382 + 13.2341i −1.02660 + 0.534083i
\(615\) −4.16033 + 32.3629i −0.167761 + 1.30500i
\(616\) 13.6322 6.70971i 0.549255 0.270342i
\(617\) 9.32247 13.9521i 0.375309 0.561689i −0.594949 0.803763i \(-0.702828\pi\)
0.970258 + 0.242074i \(0.0778278\pi\)
\(618\) 6.97157 + 0.284872i 0.280438 + 0.0114592i
\(619\) 6.71130 + 0.661005i 0.269750 + 0.0265680i 0.231988 0.972719i \(-0.425477\pi\)
0.0377622 + 0.999287i \(0.487977\pi\)
\(620\) −11.5274 + 3.21761i −0.462951 + 0.129222i
\(621\) −0.785087 + 0.656411i −0.0315045 + 0.0263409i
\(622\) 1.93526 + 10.3306i 0.0775967 + 0.414218i
\(623\) −5.97345 14.4212i −0.239321 0.577773i
\(624\) 35.5235 + 6.18938i 1.42208 + 0.247774i
\(625\) 4.49070 10.8415i 0.179628 0.433660i
\(626\) 31.8595 + 6.70780i 1.27336 + 0.268098i
\(627\) 1.37763 5.99086i 0.0550173 0.239252i
\(628\) 19.7043 22.9455i 0.786287 0.915624i
\(629\) −28.7188 34.9940i −1.14509 1.39530i
\(630\) 8.13097 21.2759i 0.323945 0.847652i
\(631\) 1.56571 + 7.87134i 0.0623298 + 0.313353i 0.999355 0.0359085i \(-0.0114325\pi\)
−0.937025 + 0.349261i \(0.886432\pi\)
\(632\) −2.90388 + 6.39602i −0.115510 + 0.254420i
\(633\) −19.2235 24.8951i −0.764067 0.989492i
\(634\) 31.3080 2.73107i 1.24340 0.108465i
\(635\) 35.6855 66.7628i 1.41613 2.64940i
\(636\) 18.0967 0.836169i 0.717579 0.0331563i
\(637\) −23.7309 + 2.33729i −0.940253 + 0.0926068i
\(638\) −17.2571 0.192643i −0.683215 0.00762681i
\(639\) 3.80851 + 27.6259i 0.150662 + 1.09286i
\(640\) 32.9030 + 21.0440i 1.30060 + 0.831835i
\(641\) 17.4168i 0.687922i 0.938984 + 0.343961i \(0.111769\pi\)
−0.938984 + 0.343961i \(0.888231\pi\)
\(642\) −16.0686 + 18.0256i −0.634179 + 0.711413i
\(643\) 0.471723 + 4.78948i 0.0186029 + 0.188879i 0.999995 0.00313539i \(-0.000998026\pi\)
−0.981392 + 0.192014i \(0.938498\pi\)
\(644\) −0.423350 0.442688i −0.0166823 0.0174443i
\(645\) −26.5842 + 10.0982i −1.04675 + 0.397617i
\(646\) 0.878488 + 10.0707i 0.0345637 + 0.396225i
\(647\) 4.14126 20.8195i 0.162810 0.818500i −0.809917 0.586545i \(-0.800488\pi\)
0.972727 0.231955i \(-0.0745122\pi\)
\(648\) 20.5209 15.0630i 0.806136 0.591731i
\(649\) 37.6421 7.48747i 1.47758 0.293909i
\(650\) −44.6337 24.5017i −1.75068 0.961034i
\(651\) −4.66688 0.138538i −0.182910 0.00542971i
\(652\) 10.6230 12.3704i 0.416028 0.484460i
\(653\) 17.7213 + 33.1542i 0.693487 + 1.29742i 0.944203 + 0.329363i \(0.106834\pi\)
−0.250716 + 0.968061i \(0.580666\pi\)
\(654\) −10.2593 13.5972i −0.401170 0.531693i
\(655\) 44.8486 + 18.5769i 1.75238 + 0.725860i
\(656\) −17.5898 12.9249i −0.686767 0.504634i
\(657\) 16.5270 9.67670i 0.644780 0.377524i
\(658\) −23.9319 + 4.48323i −0.932961 + 0.174775i
\(659\) 6.68324 + 2.02734i 0.260342 + 0.0789739i 0.417758 0.908559i \(-0.362816\pi\)
−0.157415 + 0.987532i \(0.550316\pi\)
\(660\) −37.2918 17.7709i −1.45158 0.691732i
\(661\) 3.94460 40.0502i 0.153427 1.55777i −0.542744 0.839898i \(-0.682615\pi\)
0.696171 0.717876i \(-0.254885\pi\)
\(662\) −10.7106 + 8.59170i −0.416280 + 0.333926i
\(663\) 60.5304 16.4170i 2.35081 0.637584i
\(664\) 12.4596 36.6130i 0.483526 1.42086i
\(665\) 4.58619 3.06439i 0.177845 0.118832i
\(666\) −22.5208 + 15.9661i −0.872663 + 0.618674i
\(667\) 0.201966 + 0.665792i 0.00782015 + 0.0257796i
\(668\) 2.14391 1.36429i 0.0829502 0.0527858i
\(669\) −5.47451 32.5411i −0.211657 1.25811i
\(670\) 3.93806 + 1.68294i 0.152140 + 0.0650177i
\(671\) 11.4038 + 11.4038i 0.440240 + 0.440240i
\(672\) 9.81477 + 11.6547i 0.378613 + 0.449589i
\(673\) 5.46684 5.46684i 0.210731 0.210731i −0.593847 0.804578i \(-0.702392\pi\)
0.804578 + 0.593847i \(0.202392\pi\)
\(674\) −1.07973 + 0.433184i −0.0415897 + 0.0166856i
\(675\) −34.3003 + 10.7484i −1.32022 + 0.413706i
\(676\) 16.1729 23.0722i 0.622033 0.887394i
\(677\) −20.8270 + 6.31780i −0.800447 + 0.242813i −0.663901 0.747821i \(-0.731100\pi\)
−0.136546 + 0.990634i \(0.543600\pi\)
\(678\) 23.1498 + 37.9104i 0.889062 + 1.45594i
\(679\) 5.55830 + 8.31858i 0.213308 + 0.319238i
\(680\) 67.3445 + 8.91835i 2.58254 + 0.342003i
\(681\) −8.39426 + 2.27668i −0.321669 + 0.0872427i
\(682\) −0.924023 + 8.41740i −0.0353827 + 0.322319i
\(683\) −21.0301 2.07129i −0.804696 0.0792557i −0.312699 0.949852i \(-0.601233\pi\)
−0.491997 + 0.870597i \(0.663733\pi\)
\(684\) 6.16374 0.101688i 0.235676 0.00388815i
\(685\) −17.5763 + 57.9414i −0.671558 + 2.21383i
\(686\) −21.0190 14.3864i −0.802510 0.549276i
\(687\) −35.2084 11.8321i −1.34328 0.451422i
\(688\) 2.70785 18.8301i 0.103236 0.717890i
\(689\) 10.4160 25.1463i 0.396816 0.957999i
\(690\) −0.230765 + 1.64931i −0.00878507 + 0.0627880i
\(691\) 0.971037 0.519030i 0.0369400 0.0197448i −0.452823 0.891600i \(-0.649583\pi\)
0.489763 + 0.871855i \(0.337083\pi\)
\(692\) 24.7216 + 8.10614i 0.939775 + 0.308149i
\(693\) −11.8292 10.9446i −0.449352 0.415751i
\(694\) −1.21455 4.17087i −0.0461036 0.158324i
\(695\) −9.69685 48.7494i −0.367822 1.84917i
\(696\) −3.96849 16.8457i −0.150425 0.638536i
\(697\) −37.2360 7.40669i −1.41041 0.280549i
\(698\) −2.87255 2.41160i −0.108728 0.0912805i
\(699\) 19.3989 7.36882i 0.733734 0.278714i
\(700\) −7.78772 20.0563i −0.294348 0.758056i
\(701\) −7.78233 + 0.766492i −0.293934 + 0.0289500i −0.243910 0.969798i \(-0.578430\pi\)
−0.0500248 + 0.998748i \(0.515930\pi\)
\(702\) −7.38572 37.5260i −0.278756 1.41633i
\(703\) −6.68532 −0.252142
\(704\) 22.4874 16.0624i 0.847525 0.605373i
\(705\) 49.9034 + 43.4957i 1.87947 + 1.63814i
\(706\) 22.4968 22.0001i 0.846678 0.827983i
\(707\) 1.16059 + 11.7837i 0.0436487 + 0.443172i
\(708\) 16.3542 + 34.8404i 0.614629 + 1.30938i
\(709\) 20.0681 + 10.7266i 0.753674 + 0.402847i 0.803034 0.595934i \(-0.203218\pi\)
−0.0493594 + 0.998781i \(0.515718\pi\)
\(710\) 34.7580 + 29.1805i 1.30444 + 1.09512i
\(711\) 7.43734 + 0.441948i 0.278922 + 0.0165743i
\(712\) −14.9737 24.1206i −0.561161 0.903958i
\(713\) 0.334821 0.0666001i 0.0125391 0.00249419i
\(714\) 24.0498 + 11.1329i 0.900042 + 0.416639i
\(715\) −47.9772 + 39.3739i −1.79424 + 1.47250i
\(716\) 15.0745 + 29.7833i 0.563362 + 1.11305i
\(717\) −6.88323 + 29.9329i −0.257059 + 1.11786i
\(718\) −4.49360 6.89043i −0.167700 0.257148i
\(719\) 5.18949 + 2.14956i 0.193535 + 0.0801650i 0.477346 0.878715i \(-0.341599\pi\)
−0.283811 + 0.958880i \(0.591599\pi\)
\(720\) 8.31856 40.5825i 0.310014 1.51242i
\(721\) 4.09253 1.69518i 0.152414 0.0631318i
\(722\) −20.9417 14.3335i −0.779369 0.533437i
\(723\) −35.4486 + 22.1935i −1.31835 + 0.825384i
\(724\) 3.86656 + 4.93194i 0.143700 + 0.183294i
\(725\) −2.39536 + 24.3205i −0.0889615 + 0.903241i
\(726\) −1.67979 + 1.54790i −0.0623428 + 0.0574479i
\(727\) 4.17235 + 2.78788i 0.154744 + 0.103397i 0.630532 0.776164i \(-0.282837\pi\)
−0.475788 + 0.879560i \(0.657837\pi\)
\(728\) 22.1170 5.90814i 0.819709 0.218970i
\(729\) −22.7203 14.5873i −0.841492 0.540270i
\(730\) 9.37959 29.7219i 0.347154 1.10006i
\(731\) −9.60503 31.6635i −0.355255 1.17112i
\(732\) −8.35498 + 13.8478i −0.308809 + 0.511828i
\(733\) 19.4760 + 15.9836i 0.719363 + 0.590366i 0.921217 0.389050i \(-0.127197\pi\)
−0.201854 + 0.979416i \(0.564697\pi\)
\(734\) 23.6594 9.49206i 0.873286 0.350358i
\(735\) 1.87507 + 27.3311i 0.0691629 + 1.00812i
\(736\) −0.890352 0.669659i −0.0328188 0.0246840i
\(737\) 2.14264 2.14264i 0.0789250 0.0789250i
\(738\) −6.10537 + 22.3324i −0.224742 + 0.822067i
\(739\) −6.76621 5.55288i −0.248899 0.204266i 0.501668 0.865060i \(-0.332720\pi\)
−0.750567 + 0.660794i \(0.770220\pi\)
\(740\) −9.74602 + 43.8558i −0.358271 + 1.61217i
\(741\) 3.79672 8.44796i 0.139476 0.310344i
\(742\) 10.2031 5.30809i 0.374567 0.194866i
\(743\) 24.7837 + 37.0914i 0.909225 + 1.36075i 0.932557 + 0.361024i \(0.117573\pi\)
−0.0233315 + 0.999728i \(0.507427\pi\)
\(744\) −8.41667 + 1.12765i −0.308570 + 0.0413417i
\(745\) −47.8183 31.9511i −1.75193 1.17060i
\(746\) −11.5302 + 9.24917i −0.422152 + 0.338636i
\(747\) −40.9901 + 1.59210i −1.49975 + 0.0582520i
\(748\) 23.5986 41.8737i 0.862850 1.53105i
\(749\) −4.45029 + 14.6706i −0.162610 + 0.536053i
\(750\) −8.22141 + 13.9768i −0.300203 + 0.510359i
\(751\) −11.8015 + 4.88832i −0.430641 + 0.178377i −0.587466 0.809249i \(-0.699874\pi\)
0.156824 + 0.987626i \(0.449874\pi\)
\(752\) −41.6292 + 15.1038i −1.51806 + 0.550781i
\(753\) 5.35775 2.66249i 0.195247 0.0970264i
\(754\) −25.4448 5.35722i −0.926643 0.195098i
\(755\) 71.9530 38.4597i 2.61864 1.39969i
\(756\) 7.80548 14.1512i 0.283883 0.514674i
\(757\) 9.69827 7.95917i 0.352490 0.289281i −0.441439 0.897291i \(-0.645532\pi\)
0.793929 + 0.608010i \(0.208032\pi\)
\(758\) 2.68127 + 1.47188i 0.0973882 + 0.0534612i
\(759\) 1.02226 + 0.586053i 0.0371056 + 0.0212724i
\(760\) 7.32729 6.85227i 0.265789 0.248558i
\(761\) −37.4713 7.45350i −1.35833 0.270189i −0.538420 0.842677i \(-0.680978\pi\)
−0.819913 + 0.572488i \(0.805978\pi\)
\(762\) 31.6403 43.4058i 1.14621 1.57243i
\(763\) −9.53708 5.09768i −0.345266 0.184548i
\(764\) 0.704740 31.5616i 0.0254966 1.14186i
\(765\) −16.7891 70.0699i −0.607011 2.53338i
\(766\) 20.9676 + 0.234064i 0.757589 + 0.00845706i
\(767\) 57.8258 2.08797
\(768\) 21.0519 + 18.0226i 0.759647 + 0.650336i
\(769\) 29.0107 1.04615 0.523077 0.852286i \(-0.324784\pi\)
0.523077 + 0.852286i \(0.324784\pi\)
\(770\) −26.2246 0.292748i −0.945067 0.0105499i
\(771\) −13.2585 + 18.6219i −0.477494 + 0.670651i
\(772\) −0.892318 + 39.9622i −0.0321152 + 1.43827i
\(773\) 3.90762 + 2.08867i 0.140547 + 0.0751242i 0.540172 0.841555i \(-0.318359\pi\)