Properties

Label 804.2.bd.a.23.17
Level 804
Weight 2
Character 804.23
Analytic conductor 6.420
Analytic rank 0
Dimension 2640
CM no
Inner twists 8

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Newspace parameters

Level: \( N \) = \( 804 = 2^{2} \cdot 3 \cdot 67 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 804.bd (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.41997232251\)
Analytic rank: \(0\)
Dimension: \(2640\)
Relative dimension: \(132\) over \(\Q(\zeta_{66})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 23.17
Character \(\chi\) = 804.23
Dual form 804.2.bd.a.35.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.30218 + 0.551664i) q^{2} +(-0.881313 - 1.49107i) q^{3} +(1.39133 - 1.43673i) q^{4} +(-1.21127 + 0.553168i) q^{5} +(1.97020 + 1.45545i) q^{6} +(1.08361 + 1.13646i) q^{7} +(-1.01917 + 2.63843i) q^{8} +(-1.44658 + 2.62820i) q^{9} +O(q^{10})\) \(q+(-1.30218 + 0.551664i) q^{2} +(-0.881313 - 1.49107i) q^{3} +(1.39133 - 1.43673i) q^{4} +(-1.21127 + 0.553168i) q^{5} +(1.97020 + 1.45545i) q^{6} +(1.08361 + 1.13646i) q^{7} +(-1.01917 + 2.63843i) q^{8} +(-1.44658 + 2.62820i) q^{9} +(1.27212 - 1.38854i) q^{10} +(-1.25029 - 0.119389i) q^{11} +(-3.36846 - 0.808366i) q^{12} +(-0.394523 - 0.0760380i) q^{13} +(-2.03800 - 0.882082i) q^{14} +(1.89232 + 1.31857i) q^{15} +(-0.128386 - 3.99794i) q^{16} +(0.992017 - 1.92424i) q^{17} +(0.433817 - 4.22040i) q^{18} +(5.54672 - 5.81724i) q^{19} +(-0.890526 + 2.50991i) q^{20} +(0.739539 - 2.61732i) q^{21} +(1.69397 - 0.534278i) q^{22} +(1.10694 - 0.443150i) q^{23} +(4.83228 - 0.805626i) q^{24} +(-2.11312 + 2.43868i) q^{25} +(0.555686 - 0.118629i) q^{26} +(5.19371 - 0.159317i) q^{27} +(3.14045 + 0.0243355i) q^{28} +(-6.34401 - 3.66271i) q^{29} +(-3.19155 - 0.673091i) q^{30} +(0.0714776 + 0.370861i) q^{31} +(2.37270 + 5.13520i) q^{32} +(0.923883 + 1.96949i) q^{33} +(-0.230245 + 3.05297i) q^{34} +(-1.94120 - 0.777139i) q^{35} +(1.76334 + 5.73504i) q^{36} +(-0.164311 - 0.284595i) q^{37} +(-4.01366 + 10.6350i) q^{38} +(0.234320 + 0.655274i) q^{39} +(-0.225005 - 3.75962i) q^{40} +(-10.5865 + 0.504295i) q^{41} +(0.480869 + 3.81619i) q^{42} +(-4.52097 - 7.03477i) q^{43} +(-1.91110 + 1.63023i) q^{44} +(0.298359 - 3.98366i) q^{45} +(-1.19696 + 1.18772i) q^{46} +(0.246085 + 0.193523i) q^{47} +(-5.84806 + 3.71487i) q^{48} +(0.215748 - 4.52911i) q^{49} +(1.40633 - 4.34132i) q^{50} +(-3.74346 + 0.216695i) q^{51} +(-0.658159 + 0.461029i) q^{52} +(3.76196 - 5.85372i) q^{53} +(-6.67524 + 3.07264i) q^{54} +(1.58049 - 0.547011i) q^{55} +(-4.10285 + 1.70079i) q^{56} +(-13.5623 - 3.14375i) q^{57} +(10.2816 + 1.26974i) q^{58} +(-2.90403 - 3.35143i) q^{59} +(4.52728 - 0.884179i) q^{60} +(-7.52455 + 0.718507i) q^{61} +(-0.297667 - 0.443495i) q^{62} +(-4.55437 + 1.20397i) q^{63} +(-5.92259 - 5.37801i) q^{64} +(0.519935 - 0.126135i) q^{65} +(-2.28956 - 2.05496i) q^{66} +(-2.25814 + 7.86770i) q^{67} +(-1.38439 - 4.10252i) q^{68} +(-1.63632 - 1.25996i) q^{69} +(2.95651 - 0.0589177i) q^{70} +(-1.69621 + 0.874459i) q^{71} +(-5.46000 - 6.49526i) q^{72} +(-0.924416 + 0.0882711i) q^{73} +(0.370964 + 0.279949i) q^{74} +(5.49856 + 1.00158i) q^{75} +(-0.640460 - 16.0629i) q^{76} +(-1.21915 - 1.55028i) q^{77} +(-0.666618 - 0.724017i) q^{78} +(0.351000 - 0.121482i) q^{79} +(2.36704 + 4.77156i) q^{80} +(-4.81483 - 7.60377i) q^{81} +(13.5072 - 6.49685i) q^{82} +(4.69899 - 6.59880i) q^{83} +(-2.73143 - 4.70408i) q^{84} +(-0.137169 + 2.87953i) q^{85} +(9.76793 + 6.66646i) q^{86} +(0.129692 + 12.6873i) q^{87} +(1.58926 - 3.17713i) q^{88} +(-3.01184 + 0.433038i) q^{89} +(1.80912 + 5.35202i) q^{90} +(-0.341096 - 0.530755i) q^{91} +(0.903429 - 2.20694i) q^{92} +(0.489985 - 0.433422i) q^{93} +(-0.427206 - 0.116245i) q^{94} +(-3.50067 + 10.1145i) q^{95} +(5.56585 - 8.06358i) q^{96} +(-4.97724 - 8.62084i) q^{97} +(2.21761 + 6.01672i) q^{98} +(2.12242 - 3.11331i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 2640q - 42q^{4} - 19q^{6} - 32q^{9} + O(q^{10}) \) \( 2640q - 42q^{4} - 19q^{6} - 32q^{9} - 46q^{10} - 24q^{12} - 88q^{13} - 26q^{16} - 23q^{18} - 128q^{22} - 22q^{24} + 160q^{25} + 44q^{28} - 18q^{30} - 44q^{33} - 6q^{34} - 35q^{36} - 48q^{37} - 92q^{40} - 10q^{42} + 40q^{45} + 46q^{46} - 11q^{48} - 216q^{49} - 76q^{52} + 129q^{54} - 42q^{57} - 56q^{58} - 90q^{60} - 80q^{61} - 48q^{64} - 74q^{66} - 4q^{69} + 96q^{70} - 20q^{72} - 216q^{73} + 76q^{76} - 66q^{78} - 16q^{81} + 20q^{82} - 55q^{84} - 104q^{85} - 30q^{88} - 64q^{90} - 192q^{93} - 32q^{94} - 205q^{96} - 64q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).

\(n\) \(269\) \(337\) \(403\)
\(\chi(n)\) \(-1\) \(e\left(\frac{14}{33}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.30218 + 0.551664i −0.920779 + 0.390086i
\(3\) −0.881313 1.49107i −0.508826 0.860869i
\(4\) 1.39133 1.43673i 0.695666 0.718365i
\(5\) −1.21127 + 0.553168i −0.541696 + 0.247384i −0.667421 0.744681i \(-0.732602\pi\)
0.125725 + 0.992065i \(0.459874\pi\)
\(6\) 1.97020 + 1.45545i 0.804329 + 0.594184i
\(7\) 1.08361 + 1.13646i 0.409567 + 0.429541i 0.895916 0.444223i \(-0.146520\pi\)
−0.486349 + 0.873764i \(0.661672\pi\)
\(8\) −1.01917 + 2.63843i −0.360331 + 0.932825i
\(9\) −1.44658 + 2.62820i −0.482192 + 0.876065i
\(10\) 1.27212 1.38854i 0.402281 0.439094i
\(11\) −1.25029 0.119389i −0.376978 0.0359970i −0.0951524 0.995463i \(-0.530334\pi\)
−0.281825 + 0.959466i \(0.590940\pi\)
\(12\) −3.36846 0.808366i −0.972392 0.233355i
\(13\) −0.394523 0.0760380i −0.109421 0.0210892i 0.134247 0.990948i \(-0.457139\pi\)
−0.243668 + 0.969859i \(0.578351\pi\)
\(14\) −2.03800 0.882082i −0.544678 0.235746i
\(15\) 1.89232 + 1.31857i 0.488595 + 0.340454i
\(16\) −0.128386 3.99794i −0.0320966 0.999485i
\(17\) 0.992017 1.92424i 0.240599 0.466698i −0.737358 0.675502i \(-0.763927\pi\)
0.977957 + 0.208804i \(0.0669572\pi\)
\(18\) 0.433817 4.22040i 0.102252 0.994759i
\(19\) 5.54672 5.81724i 1.27251 1.33457i 0.356030 0.934474i \(-0.384130\pi\)
0.916475 0.400091i \(-0.131022\pi\)
\(20\) −0.890526 + 2.50991i −0.199128 + 0.561233i
\(21\) 0.739539 2.61732i 0.161381 0.571145i
\(22\) 1.69397 0.534278i 0.361155 0.113908i
\(23\) 1.10694 0.443150i 0.230812 0.0924032i −0.253374 0.967369i \(-0.581540\pi\)
0.484186 + 0.874965i \(0.339116\pi\)
\(24\) 4.83228 0.805626i 0.986386 0.164448i
\(25\) −2.11312 + 2.43868i −0.422625 + 0.487735i
\(26\) 0.555686 0.118629i 0.108979 0.0232651i
\(27\) 5.19371 0.159317i 0.999530 0.0306605i
\(28\) 3.14045 + 0.0243355i 0.593489 + 0.00459898i
\(29\) −6.34401 3.66271i −1.17805 0.680149i −0.222489 0.974935i \(-0.571418\pi\)
−0.955563 + 0.294786i \(0.904751\pi\)
\(30\) −3.19155 0.673091i −0.582694 0.122889i
\(31\) 0.0714776 + 0.370861i 0.0128378 + 0.0666086i 0.987783 0.155838i \(-0.0498078\pi\)
−0.974945 + 0.222447i \(0.928596\pi\)
\(32\) 2.37270 + 5.13520i 0.419439 + 0.907784i
\(33\) 0.923883 + 1.96949i 0.160827 + 0.342845i
\(34\) −0.230245 + 3.05297i −0.0394867 + 0.523580i
\(35\) −1.94120 0.777139i −0.328123 0.131360i
\(36\) 1.76334 + 5.73504i 0.293890 + 0.955839i
\(37\) −0.164311 0.284595i −0.0270126 0.0467872i 0.852203 0.523211i \(-0.175266\pi\)
−0.879216 + 0.476424i \(0.841933\pi\)
\(38\) −4.01366 + 10.6350i −0.651101 + 1.72523i
\(39\) 0.234320 + 0.655274i 0.0375212 + 0.104928i
\(40\) −0.225005 3.75962i −0.0355764 0.594448i
\(41\) −10.5865 + 0.504295i −1.65333 + 0.0787576i −0.853371 0.521303i \(-0.825446\pi\)
−0.799954 + 0.600061i \(0.795143\pi\)
\(42\) 0.480869 + 3.81619i 0.0741997 + 0.588851i
\(43\) −4.52097 7.03477i −0.689441 1.07279i −0.992785 0.119910i \(-0.961739\pi\)
0.303343 0.952881i \(1.59810\pi\)
\(44\) −1.91110 + 1.63023i −0.288110 + 0.245766i
\(45\) 0.298359 3.98366i 0.0444767 0.593848i
\(46\) −1.19696 + 1.18772i −0.176482 + 0.175119i
\(47\) 0.246085 + 0.193523i 0.0358952 + 0.0282283i 0.635945 0.771734i \(-0.280610\pi\)
−0.600050 + 0.799962i \(0.704853\pi\)
\(48\) −5.84806 + 3.71487i −0.844094 + 0.536195i
\(49\) 0.215748 4.52911i 0.0308211 0.647016i
\(50\) 1.40633 4.34132i 0.198885 0.613956i
\(51\) −3.74346 + 0.216695i −0.524189 + 0.0303433i
\(52\) −0.658159 + 0.461029i −0.0912702 + 0.0639332i
\(53\) 3.76196 5.85372i 0.516745 0.804070i −0.480597 0.876942i \(-0.659580\pi\)
0.997341 + 0.0728713i \(0.0232162\pi\)
\(54\) −6.67524 + 3.07264i −0.908385 + 0.418134i
\(55\) 1.58049 0.547011i 0.213113 0.0737590i
\(56\) −4.10285 + 1.70079i −0.548266 + 0.227277i
\(57\) −13.5623 3.14375i −1.79637 0.416399i
\(58\) 10.2816 + 1.26974i 1.35004 + 0.166725i
\(59\) −2.90403 3.35143i −0.378073 0.436320i 0.534540 0.845143i \(-0.320485\pi\)
−0.912614 + 0.408823i \(0.865939\pi\)
\(60\) 4.52728 0.884179i 0.584469 0.114147i
\(61\) −7.52455 + 0.718507i −0.963419 + 0.0919954i −0.564895 0.825163i \(-0.691083\pi\)
−0.398524 + 0.917158i \(0.630477\pi\)
\(62\) −0.297667 0.443495i −0.0378038 0.0563239i
\(63\) −4.55437 + 1.20397i −0.573796 + 0.151686i
\(64\) −5.92259 5.37801i −0.740323 0.672251i
\(65\) 0.519935 0.126135i 0.0644900 0.0156451i
\(66\) −2.28956 2.05496i −0.281825 0.252948i
\(67\) −2.25814 + 7.86770i −0.275876 + 0.961193i
\(68\) −1.38439 4.10252i −0.167882 0.497504i
\(69\) −1.63632 1.25996i −0.196990 0.151682i
\(70\) 2.95651 0.0589177i 0.353370 0.00704201i
\(71\) −1.69621 + 0.874459i −0.201303 + 0.103779i −0.555931 0.831229i \(-0.687638\pi\)
0.354627 + 0.935008i \(0.384608\pi\)
\(72\) −5.46000 6.49526i −0.643467 0.765474i
\(73\) −0.924416 + 0.0882711i −0.108195 + 0.0103313i −0.149013 0.988835i \(-0.547610\pi\)
0.0408182 + 0.999167i \(0.487004\pi\)
\(74\) 0.370964 + 0.279949i 0.0431236 + 0.0325434i
\(75\) 5.49856 + 1.00158i 0.634919 + 0.115652i
\(76\) −0.640460 16.0629i −0.0734658 1.84254i
\(77\) −1.21915 1.55028i −0.138935 0.176671i
\(78\) −0.666618 0.724017i −0.0754796 0.0819788i
\(79\) 0.351000 0.121482i 0.0394906 0.0136678i −0.307251 0.951628i \(-0.599409\pi\)
0.346742 + 0.937961i \(0.387288\pi\)
\(80\) 2.36704 + 4.77156i 0.264644 + 0.533477i
\(81\) −4.81483 7.60377i −0.534982 0.844864i
\(82\) 13.5072 6.49685i 1.49162 0.717457i
\(83\) 4.69899 6.59880i 0.515781 0.724313i −0.471751 0.881732i \(-0.656378\pi\)
0.987532 + 0.157419i \(0.0503174\pi\)
\(84\) −2.73143 4.70408i −0.298024 0.513257i
\(85\) −0.137169 + 2.87953i −0.0148781 + 0.312329i
\(86\) 9.76793 + 6.66646i 1.05330 + 0.718862i
\(87\) 0.129692 + 12.6873i 0.0139044 + 1.36023i
\(88\) 1.58926 3.17713i 0.169416 0.338683i
\(89\) −3.01184 + 0.433038i −0.319255 + 0.0459019i −0.300079 0.953914i \(-0.597013\pi\)
−0.0191754 + 0.999816i \(0.506104\pi\)
\(90\) 1.80912 + 5.35202i 0.190698 + 0.564152i
\(91\) −0.341096 0.530755i −0.0357565 0.0556382i
\(92\) 0.903429 2.20694i 0.0941890 0.230089i
\(93\) 0.489985 0.433422i 0.0508091 0.0449438i
\(94\) −0.427206 0.116245i −0.0440629 0.0119898i
\(95\) −3.50067 + 10.1145i −0.359161 + 1.03773i
\(96\) 5.56585 8.06358i 0.568062 0.822986i
\(97\) −4.97724 8.62084i −0.505362 0.875313i −0.999981 0.00620311i \(-0.998025\pi\)
0.494618 0.869110i \(-0.335308\pi\)
\(98\) 2.21761 + 6.01672i 0.224012 + 0.607781i
\(99\) 2.12242 3.11331i 0.213311 0.312900i
\(100\) 0.563659 + 6.42900i 0.0563659 + 0.642900i
\(101\) 3.10299 + 0.752777i 0.308759 + 0.0749041i 0.387145 0.922019i \(-0.373461\pi\)
−0.0783858 + 0.996923i \(0.524977\pi\)
\(102\) 4.75510 2.34731i 0.470826 0.232418i
\(103\) −1.67198 8.67503i −0.164745 0.854776i −0.966410 0.257004i \(-0.917265\pi\)
0.801666 0.597772i \(1.79605\pi\)
\(104\) 0.602706 0.963424i 0.0591002 0.0944715i
\(105\) 0.552035 + 3.57937i 0.0538731 + 0.349310i
\(106\) −1.66945 + 9.69792i −0.162151 + 0.941945i
\(107\) 6.32274 13.8449i 0.611242 1.33843i −0.310479 0.950580i \(-0.600489\pi\)
0.921721 0.387854i \(-0.126783\pi\)
\(108\) 6.99728 7.68362i 0.673314 0.739357i
\(109\) −9.63599 + 11.1205i −0.922961 + 1.06515i 0.0747280 + 0.997204i \(0.476191\pi\)
−0.997689 + 0.0679496i \(0.978354\pi\)
\(110\) −1.75631 + 1.58420i −0.167457 + 0.151048i
\(111\) −0.279542 + 0.495817i −0.0265330 + 0.0470609i
\(112\) 4.40438 4.47812i 0.416174 0.423143i
\(113\) 2.12920 1.51620i 0.200298 0.142632i −0.475507 0.879712i \(-0.657735\pi\)
0.675805 + 0.737080i \(0.263796\pi\)
\(114\) 19.3948 3.38812i 1.81649 0.317327i
\(115\) −1.09566 + 1.14910i −0.102171 + 0.107154i
\(116\) −14.0890 + 4.01857i −1.30813 + 0.373115i
\(117\) 0.770550 0.926889i 0.0712374 0.0856909i
\(118\) 5.63044 + 2.76211i 0.518324 + 0.254273i
\(119\) 3.26179 0.957747i 0.299008 0.0877965i
\(120\) −5.40755 + 3.64890i −0.493640 + 0.333097i
\(121\) −9.25223 1.78322i −0.841112 0.162111i
\(122\) 9.40192 5.08665i 0.851210 0.460523i
\(123\) 10.0819 + 15.3407i 0.909055 + 1.38322i
\(124\) 0.632276 + 0.413297i 0.0567801 + 0.0371152i
\(125\) 3.08635 10.5111i 0.276051 0.940144i
\(126\) 5.26641 4.08026i 0.469169 0.363499i
\(127\) −9.12403 9.56901i −0.809627 0.849112i 0.181312 0.983426i \(-0.441966\pi\)
−0.990939 + 0.134314i \(0.957117\pi\)
\(128\) 10.6791 + 3.73584i 0.943909 + 0.330205i
\(129\) −6.50494 + 12.9409i −0.572728 + 1.13938i
\(130\) −0.607464 + 0.451080i −0.0532781 + 0.0395623i
\(131\) 1.13221 7.87466i 0.0989213 0.688012i −0.878659 0.477450i \(-0.841561\pi\)
0.977580 0.210563i \(-0.0675296\pi\)
\(132\) 4.11506 + 1.41285i 0.358170 + 0.122973i
\(133\) 12.6216 1.09443
\(134\) −1.39983 11.4909i −0.120927 0.992661i
\(135\) −6.20285 + 3.06597i −0.533857 + 0.263877i
\(136\) 4.06594 + 4.57849i 0.348652 + 0.392603i
\(137\) 14.4822 + 2.08222i 1.23729 + 0.177896i 0.729741 0.683724i \(-0.239641\pi\)
0.507554 + 0.861620i \(0.330550\pi\)
\(138\) 2.82586 + 0.737996i 0.240553 + 0.0628224i
\(139\) 2.03419 0.928982i 0.172538 0.0787952i −0.327274 0.944930i \(-0.606130\pi\)
0.499811 + 0.866134i \(0.333403\pi\)
\(140\) −3.81739 + 1.70772i −0.322629 + 0.144329i
\(141\) 0.0716789 0.537484i 0.00603646 0.0452643i
\(142\) 1.72636 2.07444i 0.144873 0.174083i
\(143\) 0.484191 + 0.142171i 0.0404901 + 0.0118890i
\(144\) 10.6931 + 5.44590i 0.891091 + 0.453825i
\(145\) 9.71040 + 0.927231i 0.806405 + 0.0770023i
\(146\) 1.15506 0.624912i 0.0955933 0.0517181i
\(147\) −6.94336 + 3.66987i −0.572678 + 0.302685i
\(148\) −0.637499 0.159896i −0.0524021 0.0131434i
\(149\) −3.68264 12.5419i −0.301694 1.02748i −0.961218 0.275791i \(-0.911060\pi\)
0.659524 0.751684i \(-0.270758\pi\)
\(150\) −7.71264 + 1.72912i −0.629734 + 0.141182i
\(151\) −4.48884 + 8.70713i −0.365296 + 0.708576i −0.997822 0.0659632i \(-0.978988\pi\)
0.632526 + 0.774539i \(0.282018\pi\)
\(152\) 9.69530 + 20.5634i 0.786393 + 1.66791i
\(153\) 3.62226 + 5.39078i 0.292843 + 0.435819i
\(154\) 2.44279 + 1.34618i 0.196845 + 0.108478i
\(155\) −0.291727 0.409673i −0.0234321 0.0329058i
\(156\) 1.26747 + 0.575050i 0.101479 + 0.0460408i
\(157\) −8.75452 + 3.50478i −0.698687 + 0.279712i −0.693688 0.720275i \(-0.744015\pi\)
−0.00499875 + 0.999988i \(0.501591\pi\)
\(158\) −0.390047 + 0.351826i −0.0310304 + 0.0279897i
\(159\) −12.0438 0.450383i −0.955133 0.0357177i
\(160\) −5.71461 4.90761i −0.451780 0.387981i
\(161\) 1.70311 + 0.777785i 0.134224 + 0.0612980i
\(162\) 10.4645 + 7.24529i 0.822169 + 0.569244i
\(163\) −6.81989 3.93747i −0.534175 0.308406i 0.208540 0.978014i \(-0.433129\pi\)
−0.742715 + 0.669608i \(0.766462\pi\)
\(164\) −14.0047 + 15.9115i −1.09359 + 1.24248i
\(165\) −2.20853 1.87453i −0.171934 0.145932i
\(166\) −2.47859 + 11.1851i −0.192376 + 0.868130i
\(167\) −1.72287 + 7.10176i −0.133320 + 0.549551i 0.865497 + 0.500914i \(0.167003\pi\)
−0.998817 + 0.0486365i \(0.984512\pi\)
\(168\) 6.15188 + 4.61871i 0.474628 + 0.356341i
\(169\) −11.9189 4.77161i −0.916840 0.367047i
\(170\) −1.40992 3.82533i −0.108136 0.293390i
\(171\) 7.26508 + 22.9930i 0.555575 + 1.75832i
\(172\) −16.3972 3.29229i −1.25028 0.251035i
\(173\) 22.6596 + 7.84256i 1.72278 + 0.596259i 0.995896 0.0905042i \(-0.0288478\pi\)
0.726881 + 0.686763i \(0.240969\pi\)
\(174\) −7.16804 16.4496i −0.543408 1.24704i
\(175\) −5.06126 + 0.241098i −0.382596 + 0.0182253i
\(176\) −0.316788 + 5.01393i −0.0238788 + 0.377939i
\(177\) −2.43786 + 7.28378i −0.183241 + 0.547482i
\(178\) 3.68306 2.22542i 0.276057 0.166802i
\(179\) −2.10379 14.6322i −0.157245 1.09366i −0.903682 0.428205i \(-0.859146\pi\)
0.746437 0.665456i \(1.76824\pi\)
\(180\) −5.30832 5.97125i −0.395659 0.445071i
\(181\) 15.6206 + 12.2842i 1.16107 + 0.913074i 0.997301 0.0734251i \(-0.0233930\pi\)
0.163767 + 0.986499i \(0.447635\pi\)
\(182\) 0.736966 + 0.502967i 0.0546275 + 0.0372824i
\(183\) 7.70282 + 10.5864i 0.569409 + 0.782568i
\(184\) 0.0410642 + 3.37221i 0.00302729 + 0.248603i
\(185\) 0.356454 + 0.253830i 0.0262071 + 0.0186620i
\(186\) −0.398944 + 0.834700i −0.0292520 + 0.0612032i
\(187\) −1.47005 + 2.28744i −0.107500 + 0.167274i
\(188\) 0.620426 0.0843022i 0.0452492 0.00614837i
\(189\) 5.80902 + 5.72980i 0.422544 + 0.416782i
\(190\) −1.02133 15.1021i −0.0740948 1.09562i
\(191\) −14.7266 + 11.5811i −1.06558 + 0.837981i −0.987287 0.158949i \(-0.949189\pi\)
−0.0782927 + 0.996930i \(0.524947\pi\)
\(192\) −2.79933 + 13.5707i −0.202024 + 0.979380i
\(193\) 10.8629 + 12.5364i 0.781927 + 0.902392i 0.997247 0.0741516i \(-0.0236249\pi\)
−0.215320 + 0.976544i \(0.569079\pi\)
\(194\) 11.2371 + 8.48009i 0.806774 + 0.608835i
\(195\) −0.646302 0.664095i −0.0462826 0.0475569i
\(196\) −6.20693 6.61147i −0.443352 0.472248i
\(197\) 8.31078 + 16.1207i 0.592118 + 1.14855i 0.974467 + 0.224531i \(0.0720851\pi\)
−0.382348 + 0.924018i \(0.624885\pi\)
\(198\) −1.04627 + 5.22495i −0.0743549 + 0.371321i
\(199\) 18.6679 4.52879i 1.32333 0.321037i 0.488993 0.872288i \(-0.337364\pi\)
0.834340 + 0.551250i \(0.185849\pi\)
\(200\) −4.28063 8.06075i −0.302687 0.569981i
\(201\) 13.7214 3.56686i 0.967835 0.251587i
\(202\) −4.45592 + 0.731559i −0.313517 + 0.0514723i
\(203\) −2.71191 11.1787i −0.190339 0.784588i
\(204\) −4.89706 + 5.67983i −0.342863 + 0.397668i
\(205\) 12.5441 6.46693i 0.876117 0.451670i
\(206\) 6.96291 + 10.3741i 0.485129 + 0.722795i
\(207\) −0.436581 + 3.55030i −0.0303445 + 0.246763i
\(208\) −0.253344 + 1.58704i −0.0175663 + 0.110041i
\(209\) −7.62955 + 6.61104i −0.527747 + 0.457295i
\(210\) −2.69346 4.35643i −0.185866 0.300622i
\(211\) −6.09443 7.74970i −0.419558 0.533511i 0.529627 0.848231i \(-0.322332\pi\)
−0.949185 + 0.314719i \(0.898090\pi\)
\(212\) −3.17608 13.5494i −0.218134 0.930576i
\(213\) 2.79877 + 1.75850i 0.191769 + 0.120490i
\(214\) −0.595608 + 21.5165i −0.0407149 + 1.47084i
\(215\) 9.36752 + 6.02014i 0.638860 + 0.410570i
\(216\) −4.87292 + 13.8656i −0.331561 + 0.943434i
\(217\) −0.344014 + 0.483101i −0.0233532 + 0.0327950i
\(218\) 6.41297 19.7967i 0.434341 1.34080i
\(219\) 0.946318 + 1.30057i 0.0639463 + 0.0878847i
\(220\) 1.41307 3.03181i 0.0952694 0.204404i
\(221\) −0.537689 + 0.683727i −0.0361689 + 0.0459925i
\(222\) 0.0904887 0.799855i 0.00607321 0.0536828i
\(223\) 10.8903 1.56580i 0.729271 0.104853i 0.232329 0.972637i \(-0.425365\pi\)
0.496942 + 0.867784i \(0.334456\pi\)
\(224\) −3.26486 + 8.26105i −0.218143 + 0.551964i
\(225\) −3.35252 9.08144i −0.223502 0.605429i
\(226\) −1.93617 + 3.14896i −0.128792 + 0.209466i
\(227\) −0.0803747 1.68727i −0.00533466 0.111988i −0.999964 0.00848702i \(-0.997298\pi\)
0.994629 0.103501i \(1.96700\pi\)
\(228\) −23.3864 + 15.1114i −1.54880 + 1.00077i
\(229\) 4.88369 14.1105i 0.322723 0.932447i −0.660625 0.750716i \(-0.729709\pi\)
0.983348 0.181731i \(-0.0581701\pi\)
\(230\) 0.792830 2.10076i 0.0522777 0.138520i
\(231\) −1.23712 + 3.18412i −0.0813965 + 0.209500i
\(232\) 16.1294 13.0053i 1.05895 0.853837i
\(233\) −0.501584 + 1.25290i −0.0328599 + 0.0820800i −0.943890 0.330259i \(-0.892864\pi\)
0.911030 + 0.412339i \(0.135288\pi\)
\(234\) −0.492062 + 1.63206i −0.0321671 + 0.106691i
\(235\) −0.405126 0.0982825i −0.0264275 0.00641124i
\(236\) −8.85558 0.490647i −0.576449 0.0319384i
\(237\) −0.490479 0.416301i −0.0318600 0.0270417i
\(238\) −3.71907 + 3.04657i −0.241072 + 0.197480i
\(239\) 8.76847 15.1874i 0.567185 0.982394i −0.429657 0.902992i \(-0.641366\pi\)
0.996843 0.0794018i \(-0.0253010\pi\)
\(240\) 5.02863 7.73467i 0.324596 0.499270i
\(241\) −3.94821 + 8.64537i −0.254326 + 0.556897i −0.993129 0.117025i \(-0.962664\pi\)
0.738803 + 0.673922i \(0.235392\pi\)
\(242\) 13.0318 2.78206i 0.837715 0.178837i
\(243\) −7.09438 + 13.8806i −0.455105 + 0.890438i
\(244\) −9.43685 + 11.8104i −0.604132 + 0.756085i
\(245\) 2.24403 + 5.60532i 0.143366 + 0.358111i
\(246\) −21.5914 14.4145i −1.37661 0.919033i
\(247\) −2.63064 + 1.87327i −0.167384 + 0.119193i
\(248\) −1.05134 0.189382i −0.0667600 0.0120258i
\(249\) −13.9805 1.19091i −0.885981 0.0754707i
\(250\) 1.77965 + 15.3900i 0.112555 + 0.973348i
\(251\) −3.35589 1.73008i −0.211822 0.109202i 0.349051 0.937104i \(-0.386504\pi\)
−0.560873 + 0.827902i \(0.689534\pi\)
\(252\) −4.60686 + 8.21852i −0.290205 + 0.517718i
\(253\) −1.43690 + 0.421913i −0.0903373 + 0.0265254i
\(254\) 17.1600 + 7.42714i 1.07671 + 0.466020i
\(255\) 4.41447 2.33324i 0.276445 0.146113i
\(256\) −15.9670 + 1.02656i −0.997940 + 0.0641601i
\(257\) −1.43549 + 15.0331i −0.0895431 + 0.937738i 0.833366 + 0.552721i \(0.186410\pi\)
−0.922909 + 0.385017i \(0.874196\pi\)
\(258\) 1.33155 20.4399i 0.0828984 1.27253i
\(259\) 0.145382 0.495124i 0.00903357 0.0307655i
\(260\) 0.542181 0.922502i 0.0336247 0.0572112i
\(261\) 18.8034 11.3749i 1.16390 0.704088i
\(262\) 2.86984 + 10.8788i 0.177299 + 0.672095i
\(263\) −8.81204 19.2957i −0.543374 1.18982i −0.959808 0.280657i \(-0.909448\pi\)
0.416435 0.909166i \(1.63672\pi\)
\(264\) −6.13796 + 0.430350i −0.377765 + 0.0264862i
\(265\) −1.31865 + 9.17143i −0.0810042 + 0.563397i
\(266\) −16.4355 + 6.96286i −1.00773 + 0.426920i
\(267\) 3.30006 + 4.10923i 0.201961 + 0.251481i
\(268\) 8.16194 + 14.1909i 0.498570 + 0.866850i
\(269\) 4.39856i 0.268185i −0.990969 0.134092i \(-0.957188\pi\)
0.990969 0.134092i \(-0.0428119\pi\)
\(270\) 6.38583 7.41433i 0.388629 0.451222i
\(271\) 21.4555 + 3.08484i 1.30333 + 0.187391i 0.758786 0.651340i \(-0.225793\pi\)
0.544546 + 0.838731i \(0.316702\pi\)
\(272\) −7.82037 3.71898i −0.474180 0.225496i
\(273\) −0.490781 + 0.976358i −0.0297034 + 0.0590919i
\(274\) −20.0070 + 5.27787i −1.20867 + 0.318848i
\(275\) 2.93318 2.79678i 0.176877 0.168652i
\(276\) −4.08690 + 0.597927i −0.246003 + 0.0359910i
\(277\) 26.0949 + 7.66217i 1.56789 + 0.460375i 0.946387 0.323034i \(-0.104703\pi\)
0.621506 + 0.783409i \(0.286521\pi\)
\(278\) −2.13639 + 2.33189i −0.128132 + 0.139857i
\(279\) −1.07809 0.348621i −0.0645437 0.0208714i
\(280\) 4.02884 4.32968i 0.240769 0.258748i
\(281\) −1.89960 + 9.85607i −0.113321 + 0.587964i 0.880227 + 0.474552i \(0.157390\pi\)
−0.993548 + 0.113411i \(0.963822\pi\)
\(282\) 0.203172 + 0.739442i 0.0120987 + 0.0440331i
\(283\) −2.94129 10.0171i −0.174841 0.595455i −0.999553 0.0299012i \(-0.990481\pi\)
0.824712 0.565554i \(1.80866\pi\)
\(284\) −1.10364 + 3.65366i −0.0654887 + 0.216805i
\(285\) 18.1666 3.69431i 1.07610 0.218832i
\(286\) −0.708934 + 0.0819787i −0.0419202 + 0.00484750i
\(287\) −12.0447 11.4846i −0.710977 0.677915i
\(288\) −16.9286 1.19253i −0.997528 0.0702706i
\(289\) 7.14235 + 10.0300i 0.420138 + 0.590002i
\(290\) −13.1562 + 4.14946i −0.772558 + 0.243665i
\(291\) −8.46776 + 15.0191i −0.496389 + 0.880433i
\(292\) −1.15935 + 1.45095i −0.0678458 + 0.0849105i
\(293\) 4.72490 + 4.09415i 0.276032 + 0.239183i 0.781864 0.623449i \(-0.214269\pi\)
−0.505832 + 0.862632i \(0.668815\pi\)
\(294\) 7.01695 8.60922i 0.409237 0.502100i
\(295\) 5.37148 + 2.45307i 0.312739 + 0.142823i
\(296\) 0.918345 0.143472i 0.0533777 0.00833915i
\(297\) −6.51268 0.420877i −0.377904 0.0244218i
\(298\) 11.7144 + 14.3002i 0.678597 + 0.828391i
\(299\) −0.470408 + 0.0906637i −0.0272044 + 0.00524322i
\(300\) 9.08932 6.50641i 0.524772 0.375648i
\(301\) 3.09575 12.7609i 0.178436 0.735523i
\(302\) 1.04185 13.8146i 0.0599517 0.794939i
\(303\) −1.61226 5.29020i −0.0926219 0.303914i
\(304\) −23.9691 21.4286i −1.37472 1.22902i
\(305\) 8.71680 5.03265i 0.499122 0.288168i
\(306\) −7.69073 5.02148i −0.439650 0.287059i
\(307\) −2.74094 0.948648i −0.156434 0.0541422i 0.247729 0.968829i \(-0.420316\pi\)
−0.404163 + 0.914687i \(0.632437\pi\)
\(308\) −3.92358 0.405361i −0.223567 0.0230976i
\(309\) −11.4615 + 10.1384i −0.652024 + 0.576756i
\(310\) 0.605883 + 0.372532i 0.0344118 + 0.0211584i
\(311\) −20.0123 + 12.8611i −1.13479 + 0.729288i −0.966555 0.256459i \(-0.917444\pi\)
−0.168239 + 0.985746i \(0.553808\pi\)
\(312\) −1.96770 0.0495996i −0.111399 0.00280803i
\(313\) −2.19338 15.2553i −0.123977 0.862281i −0.952979 0.303035i \(-0.902000\pi\)
0.829002 0.559246i \(-0.188909\pi\)
\(314\) 9.46648 9.39341i 0.534224 0.530101i
\(315\) 4.85057 3.97766i 0.273299 0.224116i
\(316\) 0.313820 0.673314i 0.0176538 0.0378769i
\(317\) −16.9683 0.808302i −0.953037 0.0453988i −0.434700 0.900575i \(-0.643146\pi\)
−0.518337 + 0.855176i \(0.673449\pi\)
\(318\) 15.9316 6.05764i 0.893399 0.339695i
\(319\) 7.49459 + 5.33687i 0.419616 + 0.298807i
\(320\) 10.1488 + 3.23803i 0.567335 + 0.181011i
\(321\) −26.2160 + 2.77401i −1.46323 + 0.154830i
\(322\) −2.64683 0.0732681i −0.147502 0.00408307i
\(323\) −5.69134 16.4440i −0.316675 0.914971i
\(324\) −17.6236 3.66176i −0.979089 0.203431i
\(325\) 1.01911 0.801435i 0.0565299 0.0444556i
\(326\) 11.0529 + 1.36499i 0.612162 + 0.0755997i
\(327\) 25.0738 + 4.56727i 1.38658 + 0.252571i
\(328\) 9.45884 28.4455i 0.522277 1.57064i
\(329\) 0.0467291 + 0.489369i 0.00257626 + 0.0269798i
\(330\) 3.91001 + 1.22260i 0.215239 + 0.0673017i
\(331\) 7.83977 + 15.2070i 0.430913 + 0.835854i 0.999909 + 0.0135137i \(0.00430166\pi\)
−0.568996 + 0.822340i \(0.692668\pi\)
\(332\) −2.94284 15.9323i −0.161510 0.874399i
\(333\) 0.985662 0.0201532i 0.0540139 0.00110439i
\(334\) −1.67431 10.1982i −0.0916140 0.558020i
\(335\) −1.61694 10.7790i −0.0883430 0.588922i
\(336\) −10.5588 2.62061i −0.576031 0.142966i
\(337\) −1.09976 4.53329i −0.0599080 0.246944i 0.933982 0.357320i \(-0.116310\pi\)
−0.993890 + 0.110376i \(0.964794\pi\)
\(338\) 18.1529 0.361753i 0.987386 0.0196768i
\(339\) −4.13725 1.83854i −0.224704 0.0998560i
\(340\) 3.94626 + 4.20346i 0.214016 + 0.227965i
\(341\) −0.0450914 0.472219i −0.00244184 0.0255721i
\(342\) −22.1448 25.9330i −1.19745 1.40230i
\(343\) 13.6881 11.8608i 0.739086 0.640422i
\(344\) 23.1683 4.75863i 1.24915 0.256568i
\(345\) 2.67900 + 0.620994i 0.144233 + 0.0334332i
\(346\) −33.8333 + 2.28808i −1.81889 + 0.123008i
\(347\) 1.24180 + 3.58794i 0.0666632 + 0.192611i 0.973412 0.229060i \(-0.0735651\pi\)
−0.906749 + 0.421670i \(0.861444\pi\)
\(348\) 18.4087 + 17.4660i 0.986812 + 0.936275i
\(349\) −12.4839 8.02294i −0.668250 0.429458i 0.162044 0.986783i \(-0.448191\pi\)
−0.830294 + 0.557325i \(0.811828\pi\)
\(350\) 6.45766 3.10607i 0.345176 0.166026i
\(351\) −2.06115 0.332065i −0.110016 0.0177243i
\(352\) −2.35349 6.70378i −0.125442 0.357313i
\(353\) −12.2977 0.585813i −0.654542 0.0311797i −0.282316 0.959322i \(-0.591103\pi\)
−0.372227 + 0.928142i \(0.621406\pi\)
\(354\) −0.843675 10.8297i −0.0448408 0.575590i
\(355\) 1.57085 1.99750i 0.0833720 0.106016i
\(356\) −3.56832 + 4.92971i −0.189120 + 0.261274i
\(357\) −4.30272 4.01948i −0.227724 0.212733i
\(358\) 10.8116 + 17.8931i 0.571409 + 0.945681i
\(359\) 23.8177 15.3067i 1.25705 0.807856i 0.269170 0.963093i \(-0.413251\pi\)
0.987877 + 0.155237i \(0.0496141\pi\)
\(360\) 10.2065 + 4.84722i 0.537930 + 0.255471i
\(361\) −2.17004 45.5547i −0.114213 2.39762i
\(362\) −27.1175 7.37884i −1.42526 0.387823i
\(363\) 5.49520 + 15.3673i 0.288423 + 0.806574i
\(364\) −1.23713 0.248395i −0.0648432 0.0130194i
\(365\) 1.07089 0.618278i 0.0560529 0.0323621i
\(366\) −15.8706 9.53599i −0.829568 0.498454i
\(367\) −12.7677 + 31.8921i −0.666466 + 1.66475i 0.0778831 + 0.996962i \(0.475184\pi\)
−0.744350 + 0.667790i \(0.767240\pi\)
\(368\) −1.91380 4.36857i −0.0997639 0.227727i
\(369\) 13.9887 28.5528i 0.728224 1.48640i
\(370\) −0.604196 0.133889i −0.0314107 0.00696054i
\(371\) 10.7290 2.06785i 0.557023 0.107357i
\(372\) 0.0590216 1.30701i 0.00306013 0.0677654i
\(373\) 7.82556 13.5543i 0.405192 0.701814i −0.589152 0.808023i \(-0.700538\pi\)
0.994344 + 0.106209i \(0.0338712\pi\)
\(374\) 0.652363 3.78962i 0.0337329 0.195957i
\(375\) −18.3929 + 4.66163i −0.949803 + 0.240726i
\(376\) −0.761399 + 0.452044i −0.0392661 + 0.0233124i
\(377\) 2.22435 + 1.92741i 0.114560 + 0.0992666i
\(378\) −10.7253 4.25659i −0.551650 0.218935i
\(379\) −12.4791 31.1712i −0.641007 1.60116i −0.790546 0.612403i \(-0.790203\pi\)
0.149539 0.988756i \(1.54778\pi\)
\(380\) 9.66123 + 19.1022i 0.495611 + 0.979921i
\(381\) −6.22693 + 22.0378i −0.319015 + 1.12903i
\(382\) 12.7878 23.2048i 0.654278 1.18726i
\(383\) 21.4499 + 20.4524i 1.09604 + 1.04507i 0.998759 + 0.0498129i \(0.0158625\pi\)
0.0972793 + 0.995257i \(0.468986\pi\)
\(384\) −3.84124 19.2157i −0.196023 0.980599i
\(385\) 2.33429 + 1.20341i 0.118966 + 0.0613314i
\(386\) −21.0613 10.3320i −1.07199 0.525885i
\(387\) 25.0287 1.70567i 1.27228 0.0867041i
\(388\) −19.3108 4.84350i −0.980358 0.245891i
\(389\) 6.44550 33.4424i 0.326800 1.69560i −0.332000 0.943279i \(-0.607723\pi\)
0.658800 0.752318i \(-0.271064\pi\)
\(390\) 1.20796 + 0.508229i 0.0611673 + 0.0257352i
\(391\) 0.245370 2.56963i 0.0124089 0.129952i
\(392\) 11.7298 + 5.18516i 0.592446 + 0.261890i
\(393\) −12.7395 + 5.25184i −0.642623 + 0.264920i
\(394\) −19.7153 16.4072i −0.993243 0.826583i
\(395\) −0.357955 + 0.341310i −0.0180107 + 0.0171732i
\(396\) −1.52000 7.38100i −0.0763826 0.370909i
\(397\) 12.4869 + 27.3425i 0.626699 + 1.37228i 0.910545 + 0.413410i \(0.135662\pi\)
−0.283846 + 0.958870i \(0.591610\pi\)
\(398\) −21.8106 + 16.1957i −1.09326 + 0.811817i
\(399\) −11.1235 18.8196i −0.556873 0.942159i
\(400\) 10.0210 + 8.13505i 0.501049 + 0.406753i
\(401\) 3.24464i 0.162030i −0.996713 0.0810148i \(-0.974184\pi\)
0.996713 0.0810148i \(-0.0258161\pi\)
\(402\) −15.9000 + 12.2143i −0.793021 + 0.609194i
\(403\) 0.151748i 0.00755911i
\(404\) 5.39882 3.41079i 0.268602 0.169693i
\(405\) 10.0382 + 6.54681i 0.498804 + 0.325313i
\(406\) 9.69827 + 13.0605i 0.481317 + 0.648184i
\(407\) 0.171460 + 0.375445i 0.00849895 + 0.0186101i
\(408\) 3.24349 10.0977i 0.160576 0.499910i
\(409\) −2.97971 + 2.84115i −0.147337 + 0.140486i −0.760163 0.649732i \(-0.774881\pi\)
0.612826 + 0.790218i \(0.290033\pi\)
\(410\) −12.7671 + 15.3412i −0.630520 + 0.757648i
\(411\) −9.65858 23.4290i −0.476423 1.15567i
\(412\) −14.7900 9.66768i −0.728649 0.476292i
\(413\) 0.661923 6.93197i 0.0325711 0.341100i
\(414\) −1.39007 4.86396i −0.0683180 0.239051i
\(415\) −2.04149 + 10.5923i −0.100213 + 0.519954i
\(416\) −0.545615 2.20637i −0.0267510 0.108176i
\(417\) −3.17793 2.21439i −0.155624 0.108439i
\(418\) 6.28795 12.8177i 0.307554 0.626934i
\(419\) −8.75938 4.51578i −0.427924 0.220610i 0.230790 0.973004i \(-0.425869\pi\)
−0.658714 + 0.752393i \(0.728899\pi\)
\(420\) 5.91065 + 4.18696i 0.288410 + 0.204303i
\(421\) 1.05138 + 1.00249i 0.0512410 + 0.0488582i 0.715267 0.698851i \(-0.246305\pi\)
−0.664026 + 0.747709i \(0.731154\pi\)
\(422\) 12.2113 + 6.72940i 0.594435 + 0.327582i
\(423\) −0.864597 + 0.366813i −0.0420382 + 0.0178351i
\(424\) 11.6105 + 15.8916i 0.563858 + 0.771763i
\(425\) 2.59635 + 6.48537i 0.125942 + 0.314587i
\(426\) −4.61460 0.745896i −0.223578 0.0361388i
\(427\) −8.97024 7.77276i −0.434100 0.376150i
\(428\) −11.0943 28.3469i −0.536263 1.37020i
\(429\) −0.214737 0.847261i −0.0103676 0.0409061i
\(430\) −15.5193 2.67156i −0.748406 0.128834i
\(431\) 14.1428 24.4960i 0.681235 1.17993i −0.293370 0.955999i \(-0.594777\pi\)
0.974604 0.223934i \(-0.0718900\pi\)
\(432\) −1.30374 20.7437i −0.0627262 0.998031i
\(433\) 7.16645 1.38122i 0.344397 0.0663772i −0.0141197 0.999900i \(-0.504495\pi\)
0.358517 + 0.933523i \(0.383282\pi\)
\(434\) 0.181458 0.818863i 0.00871028 0.0393067i
\(435\) −7.17533 15.2961i −0.344031 0.733390i
\(436\) 2.57033 + 29.3167i 0.123096 + 1.40401i
\(437\) 3.56196 8.89734i 0.170392 0.425618i
\(438\) −1.94976 1.17153i −0.0931629 0.0559778i
\(439\) −21.2896 + 12.2916i −1.01610 + 0.586644i −0.912971 0.408024i \(-0.866218\pi\)
−0.103127 + 0.994668i \(0.532885\pi\)
\(440\) −0.167533 + 4.72749i −0.00798684 + 0.225374i
\(441\) 11.5913 + 7.11873i 0.551966 + 0.338987i
\(442\) 0.322979 1.18696i 0.0153625 0.0564578i
\(443\) 1.27611 + 26.7888i 0.0606297 + 1.27277i 0.800216 + 0.599712i \(0.204718\pi\)
−0.739586 + 0.673062i \(0.764979\pi\)
\(444\) 0.323419 + 1.09147i 0.0153488 + 0.0517990i
\(445\) 3.40861 2.19058i 0.161584 0.103844i
\(446\) −13.3174 + 8.04676i −0.630596 + 0.381025i
\(447\) −15.4553 + 16.5444i −0.731012 + 0.782525i
\(448\) −0.305899 12.5585i −0.0144524 0.593331i
\(449\) −22.9121 + 29.1352i −1.08129 + 1.37497i −0.159539 + 0.987192i \(0.551001\pi\)
−0.921751 + 0.387781i \(0.873242\pi\)
\(450\) 9.37549 + 9.97618i 0.441965 + 0.470281i
\(451\) 13.2964 + 0.633385i 0.626102 + 0.0298249i
\(452\) 0.784061 5.16862i 0.0368791 0.243112i
\(453\) 16.9390 0.980534i 0.795864 0.0460695i
\(454\) 1.03547 + 2.15279i 0.0485970 + 0.101035i
\(455\) 0.706755 + 0.454204i 0.0331332 + 0.0212934i
\(456\) 22.1168 32.5791i 1.03572 1.52566i
\(457\) −3.40645 9.84229i −0.159347 0.460403i 0.836860 0.547417i \(-0.184389\pi\)
−0.996207 + 0.0870140i \(0.972268\pi\)
\(458\) 1.42483 + 21.0685i 0.0665777 + 0.984467i
\(459\) 4.84568 10.1520i 0.226177 0.473855i
\(460\) 0.126512 + 3.17295i 0.00589865 + 0.147939i
\(461\) −15.9427 + 13.8144i −0.742525 + 0.643401i −0.941658 0.336571i \(-0.890733\pi\)
0.199133 + 0.979972i \(0.436187\pi\)
\(462\) −0.145618 4.82877i −0.00677478 0.224655i
\(463\) 1.43328 + 15.0099i 0.0666099 + 0.697571i 0.965675 + 0.259755i \(0.0836418\pi\)
−0.899065 + 0.437816i \(0.855752\pi\)
\(464\) −13.8288 + 25.8332i −0.641987 + 1.19928i
\(465\) −0.353749 + 0.796036i −0.0164047 + 0.0369153i
\(466\) −0.0380269 1.90820i −0.00176156 0.0883957i
\(467\) −9.70176 39.9912i −0.448944 1.85057i −0.521565 0.853212i \(-0.674652\pi\)
0.0726213 0.997360i \(1.52314\pi\)
\(468\) −0.259597 2.39668i −0.0119999 0.110787i
\(469\) −11.3883 + 5.95925i −0.525862 + 0.275173i
\(470\) 0.581765 0.0955123i 0.0268348 0.00440565i
\(471\) 12.9413 + 9.96479i 0.596306 + 0.459153i
\(472\) 11.8022 4.24640i 0.543241 0.195456i
\(473\) 4.81267 + 9.33528i 0.221287 + 0.429236i
\(474\) 0.868349 + 0.271518i 0.0398846 + 0.0124713i
\(475\) 2.46544 + 25.8192i 0.113122 + 1.18467i
\(476\) 3.16221 6.01885i 0.144940 0.275874i
\(477\) 9.94277 + 18.3550i 0.455248 + 0.840419i
\(478\) −3.03974 + 24.6140i −0.139034 + 1.12582i
\(479\) −1.78606 + 1.40458i −0.0816073 + 0.0641767i −0.658129 0.752905i \(-0.728652\pi\)
0.576522 + 0.817082i \(0.304410\pi\)
\(480\) −2.28123 + 12.8460i −0.104123 + 0.586338i
\(481\) 0.0431845 + 0.124773i 0.00196904 + 0.00568917i
\(482\) 0.371925 13.4359i 0.0169407 0.611988i
\(483\) −0.341242 3.22493i −0.0155271 0.146739i
\(484\) −15.4349 + 10.8119i −0.701588 + 0.491450i
\(485\) 10.7976 + 7.68891i 0.490292 + 0.349135i
\(486\) 1.58074 21.9887i 0.0717037 0.997426i
\(487\) 2.91964 + 0.139080i 0.132302 + 0.00630231i 0.113628 0.993523i \(-0.463753\pi\)
0.0186734 + 0.999826i \(0.494056\pi\)
\(488\) 5.77306 20.5852i 0.261334 0.931850i
\(489\) 0.139420 + 13.6391i 0.00630480 + 0.616780i
\(490\) −6.01438 6.06117i −0.271702 0.273816i
\(491\) 3.92759 + 27.3170i 0.177250 + 1.23280i 0.863091 + 0.505049i \(0.168525\pi\)
−0.685841 + 0.727751i \(0.740565\pi\)
\(492\) 36.0677 + 6.85902i 1.62606 + 0.309229i
\(493\) −13.3413 + 8.57394i −0.600863 + 0.386151i
\(494\) 2.39214 3.89056i 0.107628 0.175045i
\(495\) −0.848640 + 4.94512i −0.0381435 + 0.222267i
\(496\) 1.47350 0.333376i 0.0661622 0.0149690i
\(497\) −2.83182 0.980104i −0.127025 0.0439637i
\(498\) 18.8621 6.16180i 0.845232 0.276117i
\(499\) −9.94167 + 5.73983i −0.445050 + 0.256950i −0.705738 0.708473i \(-0.749384\pi\)
0.260687 + 0.965423i \(0.416051\pi\)
\(500\) −10.8075 19.0587i −0.483327 0.852332i
\(501\) 12.1076 3.68995i 0.540928 0.164855i
\(502\) 5.32440 + 0.401549i 0.237639 + 0.0179220i
\(503\) −1.15909 + 4.77785i −0.0516814 + 0.213034i −0.991797 0.127822i \(-0.959201\pi\)
0.940116 + 0.340855i \(0.110717\pi\)
\(504\) 1.46509 13.2434i 0.0652601 0.589908i
\(505\) −4.17497 + 0.804659i −0.185784 + 0.0358068i
\(506\) 1.63835 1.34209i 0.0728335 0.0596633i
\(507\) 3.38948 + 21.9772i 0.150532 + 0.976042i
\(508\) −26.4426 0.204905i −1.17320 0.00909120i
\(509\) −7.74189 3.53560i −0.343153 0.156713i 0.236382 0.971660i \(-0.424038\pi\)
−0.579535 + 0.814948i \(0.696766\pi\)
\(510\) −4.46126 + 5.47360i −0.197548 + 0.242375i
\(511\) −1.10203 0.954910i −0.0487507 0.0422427i
\(512\) 20.2256 10.1452i 0.893853 0.448359i
\(513\) 27.8813 31.0967i 1.23099 1.37295i
\(514\) −6.42396 20.3677i −0.283349 0.898379i
\(515\) 6.82397 + 9.58292i 0.300700 + 0.422274i
\(516\) 9.54206 + 27.3509i 0.420066 + 1.20406i
\(517\) −0.284574 0.271341i −0.0125155 0.0119335i
\(518\) 0.0838298 + 0.724941i 0.00368327 + 0.0318521i
\(519\) −8.27638 40.6988i −0.363293 1.78648i
\(520\) −0.197104 + 1.50036i −0.00864360 + 0.0657953i
\(521\) 11.6776 + 39.7704i 0.511607 + 1.74237i 0.657874 + 0.753128i \(0.271456\pi\)
−0.146267 + 0.989245i \(0.546726\pi\)
\(522\) −18.2103 + 25.1853i −0.797042 + 1.10233i
\(523\) −0.500274 + 2.59567i −0.0218755 + 0.113501i −0.991225 0.132185i \(-0.957801\pi\)
0.969350 + 0.245685i \(0.0790130\pi\)
\(524\) −9.73849 12.5829i −0.425428 0.549689i
\(525\) 4.82005 + 7.33421i 0.210364 + 0.320091i
\(526\) 22.1196 + 20.2651i 0.964459 + 0.883601i
\(527\) 0.784534 + 0.230360i 0.0341748 + 0.0100346i
\(528\) 7.75530 3.94648i 0.337506 0.171749i
\(529\) −15.6170 + 14.8907i −0.678998 + 0.647423i
\(530\) −3.34243 12.6703i −0.145186 0.550362i
\(531\) 13.0091 2.78427i 0.564548 0.120827i
\(532\) 17.5608 18.1338i 0.761356 0.786198i
\(533\) 4.21494 + 0.606017i 0.182569 + 0.0262495i
\(534\) −6.56418 3.53041i −0.284060 0.152776i
\(535\) 20.2674i 0.876237i
\(536\) −18.4569 13.9765i −0.797218 0.603692i
\(537\) −19.9635 + 16.0324i −0.861489 + 0.691851i
\(538\) 2.42653 + 5.72770i 0.104615 + 0.246939i
\(539\) −0.810472 + 5.63696i −0.0349095 + 0.242801i
\(540\) −4.22526 + 13.1776i −0.181826 + 0.567074i
\(541\) −10.6960 23.4209i −0.459856 1.00694i −0.987520 0.157491i \(-0.949659\pi\)
0.527665 0.849453i \(-0.323068\pi\)
\(542\) −29.6407 + 7.81925i −1.27318 + 0.335866i
\(543\) 4.54992 34.1175i 0.195256 1.46412i
\(544\) 12.2351 + 0.528546i 0.524577 + 0.0226612i
\(545\) 5.52026 18.8003i 0.236462 0.805316i
\(546\) 0.100462 1.54214i 0.00429936 0.0659974i
\(547\) −2.96983 + 31.1015i −0.126981 + 1.32980i 0.677367 + 0.735646i \(0.263121\pi\)
−0.804348 + 0.594159i \(0.797485\pi\)
\(548\) 23.1411 17.9099i 0.988539 0.765073i
\(549\) 8.99645 20.8154i 0.383959 0.888378i
\(550\) −2.27663 + 5.26003i −0.0970760 + 0.224289i
\(551\) −56.4953 + 16.5885i −2.40678 + 0.706695i
\(552\) 4.99202 3.03320i 0.212474 0.129102i
\(553\) 0.518407 + 0.267258i 0.0220449 + 0.0113649i
\(554\) −38.2072 + 4.41815i −1.62327 + 0.187709i
\(555\) 0.0643305 0.755202i 0.00273068 0.0320565i
\(556\) 1.49553 4.21510i 0.0634248 0.178760i
\(557\) −6.69693 + 4.76886i −0.283758 + 0.202063i −0.713069 0.701093i \(-0.752696\pi\)
0.429312 + 0.903156i \(0.358756\pi\)
\(558\) 1.59619 0.140779i 0.0675721 0.00595963i
\(559\) 1.24872 + 3.11914i 0.0528150 + 0.131926i
\(560\) −2.85773 + 7.86057i −0.120761 + 0.332170i
\(561\) 4.70629 + 0.175994i 0.198700 + 0.00743049i
\(562\) −2.96362 13.8823i −0.125013 0.585589i
\(563\) −14.8135 + 32.4370i −0.624313 + 1.36706i 0.288027 + 0.957622i \(0.407001\pi\)
−0.912340 + 0.409433i \(0.865726\pi\)
\(564\) −0.672490 0.850802i −0.0283169 0.0358252i
\(565\) −1.74032 + 3.01433i −0.0732160 + 0.126814i
\(566\) 9.35615 + 11.4214i 0.393269 + 0.480079i
\(567\) 3.42397 13.7114i 0.143793 0.575825i
\(568\) −0.578466 5.36655i −0.0242719 0.225176i
\(569\) −21.6522 5.25277i −0.907708 0.220208i −0.245385 0.969426i \(-0.578914\pi\)
−0.662323 + 0.749218i \(0.730429\pi\)
\(570\) −21.6182 + 14.8325i −0.905485 + 0.621266i
\(571\) −9.02301 + 22.5384i −0.377601 + 0.943202i 0.610861 + 0.791738i \(0.290823\pi\)
−0.988463 + 0.151465i \(0.951601\pi\)
\(572\) 0.877933 0.497845i 0.0367082 0.0208159i
\(573\) 30.2470 + 11.7518i 1.26359 + 0.490938i
\(574\) 22.0200 + 8.31036i 0.919097 + 0.346868i
\(575\) −1.25839 + 3.63589i −0.0524786 + 0.151627i
\(576\) 22.7019 7.78603i 0.945914 0.324418i
\(577\) −0.154498 3.24331i −0.00643183 0.135021i −0.999799 0.0200372i \(-0.993622\pi\)
0.993367 0.114983i \(-0.0366815\pi\)
\(578\) −14.8338 9.12070i −0.617005 0.379371i
\(579\) 9.11910 27.2458i 0.378977 1.13230i
\(580\) 14.8426 12.6611i 0.616304 0.525725i
\(581\) 12.5911 1.81033i 0.522369 0.0751053i
\(582\) 2.74104 24.2289i 0.113620 1.00432i
\(583\) −5.40242 + 6.86974i −0.223745 + 0.284515i
\(584\) 0.709240 2.52897i 0.0293486 0.104649i
\(585\) −0.420619 + 1.54896i −0.0173904 + 0.0640415i
\(586\) −8.41126 2.72475i −0.347466 0.112558i
\(587\) 2.96514 4.16396i 0.122385 0.171865i −0.748838 0.662753i \(-0.769388\pi\)
0.871223 + 0.490888i \(0.163327\pi\)
\(588\) −4.38792 + 15.0817i −0.180955 + 0.621960i
\(589\) 2.55385 + 1.64126i 0.105230 + 0.0676270i
\(590\) −8.34789 0.231082i −0.343677 0.00951348i
\(591\) 16.7126 26.5993i 0.687466 1.09415i
\(592\) −1.11670 + 0.693445i −0.0458961 + 0.0285004i
\(593\) −12.0063 15.2673i −0.493040 0.626951i 0.474322 0.880352i \(-0.342693\pi\)
−0.967361 + 0.253401i \(0.918451\pi\)
\(594\) 8.71285 3.04476i 0.357493 0.124928i
\(595\) −3.42111 + 2.96441i −0.140252 + 0.121529i
\(596\) −23.1432 12.1590i −0.947981 0.498054i
\(597\) −23.2050 23.8439i −0.949717 0.975865i
\(598\) 0.562539 0.377567i 0.0230039 0.0154399i
\(599\) −15.4293 + 7.95438i −0.630426 + 0.325007i −0.743657 0.668561i \(-0.766910\pi\)
0.113231 + 0.993569i \(0.463880\pi\)
\(600\) −8.24656 + 13.4868i −0.336664 + 0.550595i
\(601\) −5.24221 21.6087i −0.213834 0.881437i −0.973049 0.230597i \(-0.925932\pi\)
0.759215 0.650840i \(-0.225583\pi\)
\(602\) 3.00849 + 18.3247i 0.122617 + 0.746860i
\(603\) −17.4113 17.3161i −0.709043 0.705165i
\(604\) 6.26433 + 18.5638i 0.254892 + 0.755349i
\(605\) 12.1934 2.95808i 0.495731 0.120263i
\(606\) 5.01786 + 5.99935i 0.203837 + 0.243707i
\(607\) 2.70028 + 5.23782i 0.109601 + 0.212596i 0.937257 0.348640i \(-0.113356\pi\)
−0.827656 + 0.561236i \(0.810326\pi\)
\(608\) 43.0334 + 14.6810i 1.74523 + 0.595392i
\(609\) −14.2781 + 13.8956i −0.578579 + 0.563076i
\(610\) −8.57449 + 11.3621i −0.347171 + 0.460040i
\(611\) −0.0823709 0.0950611i −0.00333237 0.00384576i
\(612\) 12.7849 + 2.29616i 0.516798 + 0.0928166i
\(613\) 28.0984 22.0969i 1.13489 0.892484i 0.139671 0.990198i \(-0.455395\pi\)
0.995215 + 0.0977140i \(0.0311530\pi\)
\(614\) 4.09252 0.276770i 0.165161 0.0111695i
\(615\) −20.6979 13.0047i −0.834620 0.524401i
\(616\) 5.33282 1.63665i 0.214866 0.0659425i
\(617\) −5.66757 + 8.81892i −0.228168 + 0.355036i −0.936395 0.350949i \(-0.885859\pi\)
0.708227 + 0.705985i \(0.249495\pi\)
\(618\) 9.33194 19.5250i 0.375386 0.785410i
\(619\) −27.4318 19.5341i −1.10258 0.785140i −0.124258 0.992250i \(-0.539655\pi\)
−0.978318 + 0.207110i \(0.933594\pi\)
\(620\) −0.994480 0.150859i −0.0399393 0.00605864i
\(621\) 5.67850 2.47795i 0.227870 0.0994366i
\(622\) 18.9645 27.7876i 0.760409 1.11418i
\(623\) −3.75580 2.95359i −0.150473 0.118333i
\(624\) 2.58966 1.02092i 0.103669 0.0408697i
\(625\) −0.220102 1.53085i −0.00880410 0.0612338i
\(626\) 11.2720 + 18.6551i 0.450519 + 0.745608i
\(627\) 16.5815 + 5.54979i 0.662203 + 0.221637i
\(628\) −7.14503 + 17.4542i −0.285118 + 0.696498i
\(629\) −0.710631 + 0.0338515i −0.0283347 + 0.00134975i
\(630\) −4.12197 + 7.85551i −0.164223 + 0.312971i
\(631\) −14.9631 5.17877i −0.595670 0.206163i 0.0125641 0.999921i \(-0.496001\pi\)
−0.608234 + 0.793758i \(0.708122\pi\)
\(632\) −0.0372064 + 1.04990i −0.00147999 + 0.0417627i
\(633\) −6.18424 + 15.9171i −0.245802 + 0.632649i
\(634\) 22.5417 8.30828i 0.895246 0.329964i
\(635\) 16.3449 + 6.54352i 0.648629 + 0.259672i
\(636\) −17.4040 + 16.6770i −0.690112 + 0.661286i
\(637\) −0.429502 + 1.77043i −0.0170175 + 0.0701471i
\(638\) −12.7034 2.81506i −0.502934 0.111449i
\(639\) 0.155453 5.72295i 0.00614961 0.226396i
\(640\) −15.0018 + 1.38224i −0.593000 + 0.0546378i
\(641\) −3.03653 1.75314i −0.119936 0.0692449i 0.438832 0.898569i \(-0.355392\pi\)
−0.558768 + 0.829324i \(0.688726\pi\)
\(642\) 32.6075 18.0747i 1.28692 0.713351i
\(643\) 13.1414 + 6.00147i 0.518246 + 0.236675i 0.657326 0.753606i \(-0.271687\pi\)
−0.139081 + 0.990281i \(0.544415\pi\)
\(644\) 3.48706 1.36475i 0.137409 0.0537788i
\(645\) 0.720734 19.2733i 0.0283789 0.758884i
\(646\) 16.4827 + 18.2734i 0.648504 + 0.718956i
\(647\) 18.8067 7.52906i 0.739367 0.295998i 0.0287592 0.999586i \(-0.490844\pi\)
0.710608 + 0.703589i \(0.248420\pi\)
\(648\) 24.9691 4.95405i 0.980880 0.194613i
\(649\) 3.23077 + 4.53699i 0.126819 + 0.178092i
\(650\) −0.884936 + 1.60582i −0.0347101 + 0.0629853i
\(651\) 1.02352 + 0.0871867i 0.0401149 + 0.00341712i
\(652\) −15.1458 + 4.32002i −0.593156 + 0.169185i
\(653\) 9.67162 18.7603i 0.378480 0.734148i −0.620257 0.784399i \(-0.712972\pi\)
0.998737 + 0.0502505i \(0.0160020\pi\)
\(654\) −35.1701 + 7.88492i −1.37526 + 0.308325i
\(655\) 2.98461 + 10.1646i 0.116618 + 0.397165i
\(656\) 3.37530 + 42.2592i 0.131783 + 1.64995i
\(657\) 1.10525 2.55724i 0.0431197 0.0997674i
\(658\) −0.330817 0.611467i −0.0128966 0.0238375i
\(659\) −4.75584 0.454128i −0.185261 0.0176903i 0.00201302 0.999998i \(-0.499359\pi\)
−0.187274 + 0.982308i \(0.559965\pi\)
\(660\) −5.76599 + 0.564977i −0.224441 + 0.0219917i
\(661\) −3.15566 0.926587i −0.122741 0.0360400i 0.219785 0.975548i \(-0.429464\pi\)
−0.342526 + 0.939508i \(0.611283\pi\)
\(662\) −18.5979 15.4773i −0.722830 0.601544i
\(663\) 1.49336 + 0.199154i 0.0579972 + 0.00773451i
\(664\) 12.6214 + 19.1232i 0.489805 + 0.742125i
\(665\) −15.2881 + 6.98184i −0.592847 + 0.270744i
\(666\) −1.27239 + 0.569998i −0.0493041 + 0.0220870i
\(667\) −8.64554 1.24304i −0.334757 0.0481307i
\(668\) 7.80623 + 12.3562i 0.302032 + 0.478076i
\(669\) −11.9325 14.8583i −0.461337 0.574455i
\(670\) 8.05196 + 13.1442i 0.311074 + 0.507806i
\(671\) 9.49367 0.366499
\(672\) 15.1952 2.41243i 0.586166 0.0930616i
\(673\) −3.68981 + 25.6632i −0.142232 + 0.989242i 0.786262 + 0.617894i \(0.212014\pi\)
−0.928493 + 0.371349i \(0.878895\pi\)
\(674\) 3.93294 + 5.29645i 0.151491 + 0.204012i
\(675\) −10.5864 + 13.0024i −0.407472 + 0.500464i
\(676\) −23.4387 + 10.4854i −0.901488 + 0.403283i
\(677\) −18.8629 19.7828i −0.724959 0.760315i 0.253371 0.967369i \(-0.418461\pi\)
−0.978329 + 0.207055i \(0.933612\pi\)
\(678\) 6.40169 + 0.111738i 0.245855 + 0.00429126i
\(679\) 4.40383 14.9981i 0.169004 0.575573i
\(680\) −7.45763 3.29664i −0.285987 0.126420i
\(681\) −2.44501 + 1.60686i −0.0936928 + 0.0615750i
\(682\) 0.319223 + 0.590037i 0.0122237 + 0.0225937i
\(683\) 33.7153 + 6.49810i 1.29008 + 0.248643i 0.787730 0.616021i \(-0.211256\pi\)
0.502352 + 0.864663i \(0.332468\pi\)
\(684\) 43.1428 + 21.5529i 1.64961 + 0.824095i
\(685\) −18.6936 + 5.48894i −0.714247 + 0.209722i
\(686\) −11.2811 + 22.9961i −0.430715 + 0.877993i
\(687\) −25.3438 + 5.15383i −0.966925 + 0.196631i
\(688\) −27.5441 + 18.9777i −1.05011 + 0.723519i
\(689\) −1.92928 + 2.02337i −0.0734999 + 0.0770844i
\(690\) −3.83112 + 0.669266i −0.145848 + 0.0254785i
\(691\) 3.27757 2.33395i 0.124685 0.0887877i −0.516013 0.856581i \(-0.672584\pi\)
0.640698 + 0.767793i \(0.278645\pi\)
\(692\) 42.7947 21.6441i 1.62681 0.822786i
\(693\) 5.83804 0.961577i 0.221769 0.0365273i
\(694\) −3.59638 3.98708i −0.136517 0.151347i
\(695\) −1.95007 + 2.25050i −0.0739702 + 0.0853662i
\(696\) −33.6068 12.5884i −1.27386 0.477161i
\(697\) −9.53155 + 20.8712i −0.361033 + 0.790552i
\(698\) 20.6823 + 3.56035i 0.782836 + 0.134761i
\(699\) 2.31021 0.356297i 0.0873802 0.0134764i
\(700\) −6.69551 + 7.60712i −0.253066 + 0.287522i
\(701\) 1.94582 + 10.0959i 0.0734928 + 0.381317i 0.999987 + 0.00500886i \(0.00159438\pi\)
−0.926495 + 0.376308i \(0.877194\pi\)
\(702\) 2.86717 0.704656i 0.108214 0.0265955i
\(703\) −2.56695 0.622735i −0.0968143 0.0234869i
\(704\) 6.76290 + 7.43118i 0.254886 + 0.280073i
\(705\) 0.210497 + 0.690688i 0.00792776 + 0.0260128i
\(706\) 16.3370 6.02139i 0.614851 0.226618i
\(707\) 2.50693 + 4.34214i 0.0942830 + 0.163303i
\(708\) 7.07295 + 13.6367i 0.265818 + 0.512499i
\(709\) −14.2973 + 41.3093i −0.536946 + 1.55140i 0.271261 + 0.962506i \(0.412559\pi\)
−0.808207 + 0.588898i \(0.799562\pi\)
\(710\) −0.943576 + 3.46768i −0.0354118 + 0.130140i
\(711\) −0.188469 + 1.09823i −0.00706814 + 0.0411868i
\(712\) 1.92704 8.38787i 0.0722189 0.314349i
\(713\) 0.243468 + 0.378844i 0.00911796 + 0.0141878i
\(714\) 7.82031 + 2.86041i 0.292668 + 0.107048i
\(715\) −0.665131 + 0.0956314i −0.0248745 + 0.00357641i
\(716\) −23.9496 17.3357i −0.895038 0.647864i
\(717\) −30.3733 + 0.310480i −1.13431 + 0.0115951i
\(718\) −22.5707 + 33.0714i −0.842330 + 1.23421i
\(719\) −0.423487 + 8.89009i −0.0157934 + 0.331544i 0.977119 + 0.212694i \(0.0682238\pi\)
−0.992912 + 0.118850i \(0.962079\pi\)
\(720\) −15.9647 0.681374i −0.594970 0.0253933i
\(721\) 8.04705 11.3005i 0.299688 0.420853i
\(722\) 27.9567 + 58.1232i 1.04044 + 2.16312i
\(723\) 16.3705 1.73222i 0.608824 0.0644220i
\(724\) 39.3824 5.35120i 1.46364 0.198876i
\(725\) 22.3378 7.73120i 0.829607 0.287130i
\(726\) −15.6333 16.9794i −0.580207 0.630166i
\(727\) 18.0993 + 23.0151i 0.671266 + 0.853584i 0.995730 0.0923141i \(-0.0294264\pi\)
−0.324464 + 0.945898i \(0.605184\pi\)
\(728\) 1.74799 0.359026i 0.0647849 0.0133064i
\(729\) 26.9492 1.65489i 0.998120 0.0612922i
\(730\) −1.05341 + 1.39588i −0.0389883 + 0.0516638i
\(731\) −18.0215 + 1.72084i −0.666549 + 0.0636477i
\(732\) 25.9270 + 3.66232i 0.958288 + 0.135363i
\(733\) −15.9478 + 8.22164i −0.589044 + 0.303673i −0.726861 0.686784i \(-0.759022\pi\)
0.137817 + 0.990458i \(0.455991\pi\)
\(734\) −0.967961 48.5726i −0.0357281 1.79285i
\(735\) 6.38023 8.28604i 0.235338 0.305635i
\(736\) 4.90210 + 4.63287i 0.180694 + 0.170770i
\(737\) 3.76266 9.56735i 0.138599 0.352418i
\(738\) −2.46425 + 44.8979i −0.0907104 + 1.65271i
\(739\) −1.78939 + 0.434102i −0.0658238 + 0.0159687i −0.268536 0.963270i \(-0.586540\pi\)
0.202712 + 0.979238i \(0.435025\pi\)
\(740\) 0.860632 0.158967i 0.0316375 0.00584373i
\(741\) 5.11159 + 2.27153i 0.187779 + 0.0834468i
\(742\) −12.8303 + 8.61153i −0.471016 + 0.316139i
\(743\) 31.9976 3.05540i 1.17388 0.112092i 0.510164 0.860077i \(-0.329585\pi\)
0.663715 + 0.747985i \(0.268979\pi\)
\(744\) 0.644175 + 1.73452i 0.0236166 + 0.0635906i
\(745\) 11.3985 + 13.1545i 0.417608 + 0.481945i
\(746\) −2.71286 + 21.9672i −0.0993250 + 0.804275i
\(747\) 10.5455 + 21.8955i 0.385840 + 0.801115i
\(748\) 1.24110 + 5.29464i 0.0453793 + 0.193591i
\(749\) 22.5855 7.81693i