Properties

Label 588.2.x.a.55.4
Level $588$
Weight $2$
Character 588.55
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.x (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 55.4
Character \(\chi\) \(=\) 588.55
Dual form 588.2.x.a.139.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.27947 + 0.602464i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(1.27407 - 1.54167i) q^{4} +(0.0432081 - 0.0897226i) q^{5} +(1.41416 + 0.0123389i) q^{6} +(0.103018 + 2.64374i) q^{7} +(-0.701339 + 2.74010i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\) \(q+(-1.27947 + 0.602464i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(1.27407 - 1.54167i) q^{4} +(0.0432081 - 0.0897226i) q^{5} +(1.41416 + 0.0123389i) q^{6} +(0.103018 + 2.64374i) q^{7} +(-0.701339 + 2.74010i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-0.00122877 + 0.140828i) q^{10} +(-2.51790 - 2.00796i) q^{11} +(-1.81681 + 0.836193i) q^{12} +(0.338941 + 0.270296i) q^{13} +(-1.72457 - 3.32052i) q^{14} +(-0.0778583 + 0.0620899i) q^{15} +(-0.753469 - 3.92839i) q^{16} +(1.76286 + 0.402362i) q^{17} +(-1.26876 - 0.624698i) q^{18} +0.291299 q^{19} +(-0.0832719 - 0.180926i) q^{20} +(1.05426 - 2.42663i) q^{21} +(4.43130 + 1.05217i) q^{22} +(-8.74008 + 1.99487i) q^{23} +(1.82077 - 2.16444i) q^{24} +(3.11127 + 3.90140i) q^{25} +(-0.596507 - 0.141636i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(4.20703 + 3.20951i) q^{28} +(0.201203 - 0.881528i) q^{29} +(0.0622102 - 0.126349i) q^{30} -2.49658 q^{31} +(3.33075 + 4.57232i) q^{32} +(1.39733 + 2.90159i) q^{33} +(-2.49793 + 0.547252i) q^{34} +(0.241655 + 0.104988i) q^{35} +(1.99970 + 0.0348984i) q^{36} +(-0.872620 + 3.82320i) q^{37} +(-0.372708 + 0.175497i) q^{38} +(-0.188098 - 0.390589i) q^{39} +(0.215545 + 0.181320i) q^{40} +(-4.00391 + 8.31420i) q^{41} +(0.113064 + 3.73995i) q^{42} +(4.80724 + 9.98234i) q^{43} +(-6.30360 + 1.32347i) q^{44} +(0.0970877 - 0.0221596i) q^{45} +(9.98081 - 7.81795i) q^{46} +(-3.95275 + 4.95659i) q^{47} +(-1.02561 + 3.86628i) q^{48} +(-6.97877 + 0.544709i) q^{49} +(-6.33122 - 3.11729i) q^{50} +(-1.41371 - 1.12739i) q^{51} +(0.848542 - 0.178156i) q^{52} +(-1.58701 - 6.95314i) q^{53} +(0.872067 + 1.11333i) q^{54} +(-0.288953 + 0.139152i) q^{55} +(-7.31636 - 1.57188i) q^{56} +(-0.262452 - 0.126390i) q^{57} +(0.273656 + 1.24910i) q^{58} +(-10.7197 + 5.16235i) q^{59} +(-0.00347534 + 0.199139i) q^{60} +(-0.494137 - 0.112783i) q^{61} +(3.19430 - 1.50410i) q^{62} +(-2.00273 + 1.72889i) q^{63} +(-7.01625 - 3.84347i) q^{64} +(0.0388966 - 0.0187316i) q^{65} +(-3.53594 - 2.87064i) q^{66} -7.57742i q^{67} +(2.86633 - 2.20511i) q^{68} +(8.74008 + 1.99487i) q^{69} +(-0.372441 + 0.0112594i) q^{70} +(1.74261 - 0.397740i) q^{71} +(-2.57957 + 1.16009i) q^{72} +(-11.1695 + 8.90740i) q^{73} +(-1.18685 - 5.41738i) q^{74} +(-1.11040 - 4.86497i) q^{75} +(0.371137 - 0.449086i) q^{76} +(5.04914 - 6.86355i) q^{77} +(0.475981 + 0.386424i) q^{78} -4.06437i q^{79} +(-0.385022 - 0.102135i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(0.113864 - 13.0500i) q^{82} +(9.81797 + 12.3113i) q^{83} +(-2.39785 - 4.71703i) q^{84} +(0.112271 - 0.140783i) q^{85} +(-12.1647 - 9.87589i) q^{86} +(-0.563758 + 0.706930i) q^{87} +(7.26791 - 5.49103i) q^{88} +(3.04839 - 2.43101i) q^{89} +(-0.110870 + 0.0868444i) q^{90} +(-0.679677 + 0.923918i) q^{91} +(-8.06009 + 16.0159i) q^{92} +(2.24934 + 1.08323i) q^{93} +(2.07125 - 8.72319i) q^{94} +(0.0125865 - 0.0261361i) q^{95} +(-1.01705 - 5.56467i) q^{96} +4.63664i q^{97} +(8.60095 - 4.90140i) q^{98} -3.22052i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{14}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.27947 + 0.602464i −0.904720 + 0.426006i
\(3\) −0.900969 0.433884i −0.520175 0.250503i
\(4\) 1.27407 1.54167i 0.637037 0.770833i
\(5\) 0.0432081 0.0897226i 0.0193233 0.0401251i −0.891084 0.453839i \(-0.850054\pi\)
0.910407 + 0.413714i \(0.135769\pi\)
\(6\) 1.41416 + 0.0123389i 0.577328 + 0.00503734i
\(7\) 0.103018 + 2.64374i 0.0389373 + 0.999242i
\(8\) −0.701339 + 2.74010i −0.247961 + 0.968770i
\(9\) 0.623490 + 0.781831i 0.207830 + 0.260610i
\(10\) −0.00122877 + 0.140828i −0.000388570 + 0.0445339i
\(11\) −2.51790 2.00796i −0.759176 0.605423i 0.165486 0.986212i \(-0.447081\pi\)
−0.924662 + 0.380789i \(0.875652\pi\)
\(12\) −1.81681 + 0.836193i −0.524466 + 0.241388i
\(13\) 0.338941 + 0.270296i 0.0940052 + 0.0749667i 0.669365 0.742934i \(-0.266566\pi\)
−0.575359 + 0.817901i \(0.695138\pi\)
\(14\) −1.72457 3.32052i −0.460911 0.887447i
\(15\) −0.0778583 + 0.0620899i −0.0201029 + 0.0160316i
\(16\) −0.753469 3.92839i −0.188367 0.982099i
\(17\) 1.76286 + 0.402362i 0.427557 + 0.0975871i 0.430884 0.902407i \(-0.358202\pi\)
−0.00332696 + 0.999994i \(0.501059\pi\)
\(18\) −1.26876 0.624698i −0.299050 0.147243i
\(19\) 0.291299 0.0668286 0.0334143 0.999442i \(-0.489362\pi\)
0.0334143 + 0.999442i \(0.489362\pi\)
\(20\) −0.0832719 0.180926i −0.0186202 0.0404562i
\(21\) 1.05426 2.42663i 0.230059 0.529534i
\(22\) 4.43130 + 1.05217i 0.944756 + 0.224324i
\(23\) −8.74008 + 1.99487i −1.82243 + 0.415958i −0.990338 0.138676i \(-0.955715\pi\)
−0.832094 + 0.554634i \(0.812858\pi\)
\(24\) 1.82077 2.16444i 0.371663 0.441815i
\(25\) 3.11127 + 3.90140i 0.622253 + 0.780281i
\(26\) −0.596507 0.141636i −0.116985 0.0277770i
\(27\) −0.222521 0.974928i −0.0428242 0.187625i
\(28\) 4.20703 + 3.20951i 0.795053 + 0.606540i
\(29\) 0.201203 0.881528i 0.0373624 0.163696i −0.952805 0.303583i \(-0.901817\pi\)
0.990167 + 0.139888i \(0.0446741\pi\)
\(30\) 0.0622102 0.126349i 0.0113580 0.0230680i
\(31\) −2.49658 −0.448399 −0.224200 0.974543i \(-0.571977\pi\)
−0.224200 + 0.974543i \(0.571977\pi\)
\(32\) 3.33075 + 4.57232i 0.588800 + 0.808279i
\(33\) 1.39733 + 2.90159i 0.243244 + 0.505101i
\(34\) −2.49793 + 0.547252i −0.428392 + 0.0938529i
\(35\) 0.241655 + 0.104988i 0.0408471 + 0.0177462i
\(36\) 1.99970 + 0.0348984i 0.333283 + 0.00581640i
\(37\) −0.872620 + 3.82320i −0.143458 + 0.628530i 0.851159 + 0.524908i \(0.175900\pi\)
−0.994617 + 0.103622i \(0.966957\pi\)
\(38\) −0.372708 + 0.175497i −0.0604612 + 0.0284694i
\(39\) −0.188098 0.390589i −0.0301198 0.0625443i
\(40\) 0.215545 + 0.181320i 0.0340806 + 0.0286692i
\(41\) −4.00391 + 8.31420i −0.625305 + 1.29846i 0.312043 + 0.950068i \(0.398987\pi\)
−0.937349 + 0.348392i \(0.886728\pi\)
\(42\) 0.113064 + 3.73995i 0.0174461 + 0.577087i
\(43\) 4.80724 + 9.98234i 0.733097 + 1.52229i 0.848629 + 0.528989i \(0.177429\pi\)
−0.115532 + 0.993304i \(0.536857\pi\)
\(44\) −6.30360 + 1.32347i −0.950303 + 0.199521i
\(45\) 0.0970877 0.0221596i 0.0144730 0.00330336i
\(46\) 9.98081 7.81795i 1.47159 1.15269i
\(47\) −3.95275 + 4.95659i −0.576568 + 0.722993i −0.981523 0.191343i \(-0.938716\pi\)
0.404955 + 0.914336i \(0.367287\pi\)
\(48\) −1.02561 + 3.86628i −0.148035 + 0.558049i
\(49\) −6.97877 + 0.544709i −0.996968 + 0.0778155i
\(50\) −6.33122 3.11729i −0.895370 0.440852i
\(51\) −1.41371 1.12739i −0.197958 0.157867i
\(52\) 0.848542 0.178156i 0.117672 0.0247058i
\(53\) −1.58701 6.95314i −0.217993 0.955088i −0.958959 0.283546i \(-0.908489\pi\)
0.740966 0.671542i \(-0.234368\pi\)
\(54\) 0.872067 + 1.11333i 0.118673 + 0.151505i
\(55\) −0.288953 + 0.139152i −0.0389624 + 0.0187633i
\(56\) −7.31636 1.57188i −0.977690 0.210051i
\(57\) −0.262452 0.126390i −0.0347626 0.0167408i
\(58\) 0.273656 + 1.24910i 0.0359328 + 0.164015i
\(59\) −10.7197 + 5.16235i −1.39559 + 0.672081i −0.972262 0.233895i \(-0.924853\pi\)
−0.423329 + 0.905976i \(0.639138\pi\)
\(60\) −0.00347534 + 0.199139i −0.000448665 + 0.0257087i
\(61\) −0.494137 0.112783i −0.0632677 0.0144404i 0.190770 0.981635i \(-0.438902\pi\)
−0.254038 + 0.967194i \(0.581759\pi\)
\(62\) 3.19430 1.50410i 0.405676 0.191021i
\(63\) −2.00273 + 1.72889i −0.252321 + 0.217820i
\(64\) −7.01625 3.84347i −0.877031 0.480434i
\(65\) 0.0388966 0.0187316i 0.00482453 0.00232337i
\(66\) −3.53594 2.87064i −0.435244 0.353352i
\(67\) 7.57742i 0.925729i −0.886429 0.462864i \(-0.846822\pi\)
0.886429 0.462864i \(-0.153178\pi\)
\(68\) 2.86633 2.20511i 0.347593 0.267408i
\(69\) 8.74008 + 1.99487i 1.05218 + 0.240154i
\(70\) −0.372441 + 0.0112594i −0.0445152 + 0.00134575i
\(71\) 1.74261 0.397740i 0.206810 0.0472031i −0.117861 0.993030i \(-0.537604\pi\)
0.324671 + 0.945827i \(0.394746\pi\)
\(72\) −2.57957 + 1.16009i −0.304005 + 0.136718i
\(73\) −11.1695 + 8.90740i −1.30729 + 1.04253i −0.311564 + 0.950225i \(0.600853\pi\)
−0.995731 + 0.0923076i \(0.970576\pi\)
\(74\) −1.18685 5.41738i −0.137969 0.629758i
\(75\) −1.11040 4.86497i −0.128218 0.561758i
\(76\) 0.371137 0.449086i 0.0425723 0.0515137i
\(77\) 5.04914 6.86355i 0.575403 0.782174i
\(78\) 0.475981 + 0.386424i 0.0538942 + 0.0437539i
\(79\) 4.06437i 0.457278i −0.973511 0.228639i \(-0.926573\pi\)
0.973511 0.228639i \(-0.0734275\pi\)
\(80\) −0.385022 0.102135i −0.0430467 0.0114191i
\(81\) −0.222521 + 0.974928i −0.0247245 + 0.108325i
\(82\) 0.113864 13.0500i 0.0125742 1.44113i
\(83\) 9.81797 + 12.3113i 1.07766 + 1.35135i 0.932184 + 0.361984i \(0.117900\pi\)
0.145477 + 0.989362i \(0.453528\pi\)
\(84\) −2.39785 4.71703i −0.261626 0.514670i
\(85\) 0.112271 0.140783i 0.0121775 0.0152701i
\(86\) −12.1647 9.87589i −1.31175 1.06494i
\(87\) −0.563758 + 0.706930i −0.0604412 + 0.0757909i
\(88\) 7.26791 5.49103i 0.774761 0.585346i
\(89\) 3.04839 2.43101i 0.323129 0.257687i −0.448467 0.893799i \(-0.648030\pi\)
0.771596 + 0.636112i \(0.219459\pi\)
\(90\) −0.110870 + 0.0868444i −0.0116867 + 0.00915420i
\(91\) −0.679677 + 0.923918i −0.0712495 + 0.0968529i
\(92\) −8.06009 + 16.0159i −0.840323 + 1.66977i
\(93\) 2.24934 + 1.08323i 0.233246 + 0.112325i
\(94\) 2.07125 8.72319i 0.213633 0.899728i
\(95\) 0.0125865 0.0261361i 0.00129135 0.00268151i
\(96\) −1.01705 5.56467i −0.103803 0.567942i
\(97\) 4.63664i 0.470780i 0.971901 + 0.235390i \(0.0756367\pi\)
−0.971901 + 0.235390i \(0.924363\pi\)
\(98\) 8.60095 4.90140i 0.868827 0.495116i
\(99\) 3.22052i 0.323674i
\(100\) 9.97865 + 0.174146i 0.997865 + 0.0174146i
\(101\) −4.79379 + 9.95441i −0.477000 + 0.990501i 0.514143 + 0.857704i \(0.328110\pi\)
−0.991143 + 0.132796i \(0.957604\pi\)
\(102\) 2.48800 + 0.590756i 0.246349 + 0.0584935i
\(103\) 2.70373 + 1.30205i 0.266407 + 0.128295i 0.562319 0.826920i \(-0.309909\pi\)
−0.295912 + 0.955215i \(0.595624\pi\)
\(104\) −0.978349 + 0.739161i −0.0959351 + 0.0724807i
\(105\) −0.172171 0.199441i −0.0168021 0.0194635i
\(106\) 6.21955 + 7.94021i 0.604096 + 0.771221i
\(107\) 2.92841 2.33533i 0.283100 0.225765i −0.471636 0.881793i \(-0.656336\pi\)
0.754736 + 0.656029i \(0.227765\pi\)
\(108\) −1.78652 0.899078i −0.171908 0.0865138i
\(109\) 4.13307 5.18270i 0.395876 0.496413i −0.543449 0.839442i \(-0.682882\pi\)
0.939325 + 0.343030i \(0.111453\pi\)
\(110\) 0.285872 0.352125i 0.0272568 0.0335738i
\(111\) 2.44503 3.06597i 0.232072 0.291009i
\(112\) 10.3081 2.39668i 0.974019 0.226465i
\(113\) 2.17341 + 2.72537i 0.204457 + 0.256381i 0.873479 0.486862i \(-0.161858\pi\)
−0.669022 + 0.743242i \(0.733287\pi\)
\(114\) 0.411944 + 0.00359432i 0.0385821 + 0.000336639i
\(115\) −0.198658 + 0.870377i −0.0185249 + 0.0811630i
\(116\) −1.10267 1.43332i −0.102381 0.133080i
\(117\) 0.433521i 0.0400791i
\(118\) 10.6054 13.0633i 0.976308 1.20258i
\(119\) −0.882135 + 4.70201i −0.0808652 + 0.431032i
\(120\) −0.115527 0.256885i −0.0105462 0.0234503i
\(121\) −0.139802 0.612512i −0.0127093 0.0556829i
\(122\) 0.700180 0.153397i 0.0633913 0.0138879i
\(123\) 7.21479 5.75361i 0.650536 0.518785i
\(124\) −3.18083 + 3.84890i −0.285647 + 0.345641i
\(125\) 0.969915 0.221377i 0.0867518 0.0198005i
\(126\) 1.52084 3.41863i 0.135487 0.304556i
\(127\) 0.415526 + 0.0948410i 0.0368719 + 0.00841578i 0.240917 0.970546i \(-0.422552\pi\)
−0.204045 + 0.978961i \(0.565409\pi\)
\(128\) 11.2926 + 0.690559i 0.998135 + 0.0610374i
\(129\) 11.0796i 0.975501i
\(130\) −0.0384819 + 0.0474003i −0.00337508 + 0.00415729i
\(131\) 3.08635 1.48631i 0.269656 0.129859i −0.294170 0.955753i \(-0.595043\pi\)
0.563826 + 0.825894i \(0.309329\pi\)
\(132\) 6.25358 + 1.54262i 0.544304 + 0.134268i
\(133\) 0.0300092 + 0.770121i 0.00260213 + 0.0667779i
\(134\) 4.56512 + 9.69506i 0.394366 + 0.837525i
\(135\) −0.0970877 0.0221596i −0.00835598 0.00190720i
\(136\) −2.33887 + 4.54822i −0.200557 + 0.390007i
\(137\) 13.2872 6.39879i 1.13520 0.546686i 0.230647 0.973037i \(-0.425916\pi\)
0.904557 + 0.426352i \(0.140201\pi\)
\(138\) −12.3845 + 2.71322i −1.05424 + 0.230964i
\(139\) 13.6333 + 6.56547i 1.15637 + 0.556876i 0.910940 0.412539i \(-0.135358\pi\)
0.245425 + 0.969415i \(0.421072\pi\)
\(140\) 0.469743 0.238788i 0.0397005 0.0201813i
\(141\) 5.71189 2.75070i 0.481028 0.231651i
\(142\) −1.98999 + 1.55876i −0.166997 + 0.130808i
\(143\) −0.310676 1.36116i −0.0259800 0.113826i
\(144\) 2.60156 3.03840i 0.216797 0.253200i
\(145\) −0.0703993 0.0561416i −0.00584635 0.00466231i
\(146\) 8.92466 18.1260i 0.738610 1.50012i
\(147\) 6.52400 + 2.53721i 0.538090 + 0.209266i
\(148\) 4.78231 + 6.21633i 0.393104 + 0.510979i
\(149\) 5.80456 7.27869i 0.475528 0.596293i −0.484987 0.874521i \(-0.661176\pi\)
0.960515 + 0.278228i \(0.0897471\pi\)
\(150\) 4.35169 + 5.55560i 0.355314 + 0.453613i
\(151\) −12.9126 + 2.94721i −1.05081 + 0.239840i −0.712847 0.701319i \(-0.752595\pi\)
−0.337962 + 0.941160i \(0.609738\pi\)
\(152\) −0.204299 + 0.798188i −0.0165709 + 0.0647416i
\(153\) 0.784547 + 1.62913i 0.0634269 + 0.131707i
\(154\) −2.32518 + 11.8236i −0.187368 + 0.952774i
\(155\) −0.107873 + 0.224000i −0.00866453 + 0.0179921i
\(156\) −0.841809 0.207656i −0.0673986 0.0166258i
\(157\) −9.20136 19.1068i −0.734348 1.52489i −0.847198 0.531278i \(-0.821712\pi\)
0.112849 0.993612i \(-0.464002\pi\)
\(158\) 2.44864 + 5.20023i 0.194803 + 0.413708i
\(159\) −1.58701 + 6.95314i −0.125858 + 0.551420i
\(160\) 0.554155 0.101283i 0.0438098 0.00800710i
\(161\) −6.17431 22.9010i −0.486603 1.80485i
\(162\) −0.302651 1.38145i −0.0237785 0.108537i
\(163\) −5.23935 10.8796i −0.410378 0.852158i −0.999041 0.0437797i \(-0.986060\pi\)
0.588664 0.808378i \(-0.299654\pi\)
\(164\) 7.71644 + 16.7656i 0.602553 + 1.30917i
\(165\) 0.320714 0.0249675
\(166\) −19.9789 9.83699i −1.55066 0.763498i
\(167\) 2.22077 9.72981i 0.171848 0.752915i −0.813389 0.581720i \(-0.802380\pi\)
0.985237 0.171195i \(-0.0547629\pi\)
\(168\) 5.90980 + 4.59067i 0.455951 + 0.354178i
\(169\) −2.85095 12.4908i −0.219304 0.960833i
\(170\) −0.0588301 + 0.247767i −0.00451206 + 0.0190028i
\(171\) 0.181622 + 0.227747i 0.0138890 + 0.0174162i
\(172\) 21.5142 + 5.30708i 1.64044 + 0.404661i
\(173\) 12.3035 2.80818i 0.935415 0.213502i 0.272465 0.962166i \(-0.412161\pi\)
0.662950 + 0.748663i \(0.269304\pi\)
\(174\) 0.295410 1.24414i 0.0223950 0.0943179i
\(175\) −9.99380 + 8.62731i −0.755460 + 0.652163i
\(176\) −5.99090 + 11.4042i −0.451581 + 0.859628i
\(177\) 11.8980 0.894309
\(178\) −2.43572 + 4.94695i −0.182565 + 0.370789i
\(179\) −1.27626 0.291299i −0.0953923 0.0217727i 0.174558 0.984647i \(-0.444150\pi\)
−0.269951 + 0.962874i \(0.587007\pi\)
\(180\) 0.0895342 0.177910i 0.00667349 0.0132606i
\(181\) −18.1571 + 14.4798i −1.34961 + 1.07628i −0.359926 + 0.932981i \(0.617198\pi\)
−0.989680 + 0.143294i \(0.954230\pi\)
\(182\) 0.312997 1.59160i 0.0232009 0.117978i
\(183\) 0.396267 + 0.316012i 0.0292929 + 0.0233603i
\(184\) 0.663632 25.3477i 0.0489236 1.86866i
\(185\) 0.305323 + 0.243487i 0.0224478 + 0.0179015i
\(186\) −3.53057 0.0308051i −0.258874 0.00225874i
\(187\) −3.63079 4.55286i −0.265510 0.332938i
\(188\) 2.60531 + 12.4089i 0.190012 + 0.905011i
\(189\) 2.55454 0.688724i 0.185815 0.0500973i
\(190\) −0.000357938 0.0410232i −2.59676e−5 0.00297614i
\(191\) 5.12907 10.6506i 0.371126 0.770652i −0.628850 0.777527i \(-0.716474\pi\)
0.999976 + 0.00687470i \(0.00218830\pi\)
\(192\) 4.65380 + 6.50708i 0.335859 + 0.469608i
\(193\) 4.61141 + 2.22074i 0.331937 + 0.159852i 0.592427 0.805624i \(-0.298170\pi\)
−0.260490 + 0.965477i \(0.583884\pi\)
\(194\) −2.79341 5.93244i −0.200555 0.425924i
\(195\) −0.0431720 −0.00309161
\(196\) −8.05172 + 11.4529i −0.575123 + 0.818067i
\(197\) −20.4863 −1.45959 −0.729795 0.683666i \(-0.760384\pi\)
−0.729795 + 0.683666i \(0.760384\pi\)
\(198\) 1.94025 + 4.12055i 0.137887 + 0.292835i
\(199\) 16.8766 + 8.12736i 1.19635 + 0.576133i 0.922634 0.385677i \(-0.126032\pi\)
0.273719 + 0.961810i \(0.411746\pi\)
\(200\) −12.8723 + 5.78896i −0.910207 + 0.409341i
\(201\) −3.28772 + 6.82702i −0.231898 + 0.481541i
\(202\) 0.136327 15.6244i 0.00959196 1.09933i
\(203\) 2.35126 + 0.441116i 0.165026 + 0.0309603i
\(204\) −3.53923 + 0.743080i −0.247796 + 0.0520260i
\(205\) 0.572970 + 0.718482i 0.0400180 + 0.0501809i
\(206\) −4.24378 0.0370281i −0.295678 0.00257987i
\(207\) −7.00900 5.58949i −0.487159 0.388496i
\(208\) 0.806449 1.53515i 0.0559172 0.106444i
\(209\) −0.733463 0.584917i −0.0507347 0.0404596i
\(210\) 0.340443 + 0.151452i 0.0234928 + 0.0104512i
\(211\) 8.71002 6.94601i 0.599623 0.478183i −0.276014 0.961154i \(-0.589014\pi\)
0.875637 + 0.482971i \(0.160442\pi\)
\(212\) −12.7414 6.41218i −0.875083 0.440391i
\(213\) −1.74261 0.397740i −0.119402 0.0272527i
\(214\) −2.33985 + 4.75223i −0.159949 + 0.324856i
\(215\) 1.10335 0.0752480
\(216\) 2.82746 + 0.0740260i 0.192384 + 0.00503683i
\(217\) −0.257194 6.60033i −0.0174595 0.448059i
\(218\) −2.16573 + 9.12112i −0.146682 + 0.617760i
\(219\) 13.9282 3.17902i 0.941179 0.214818i
\(220\) −0.153621 + 0.622760i −0.0103571 + 0.0419865i
\(221\) 0.488749 + 0.612872i 0.0328768 + 0.0412262i
\(222\) −1.28120 + 5.39585i −0.0859884 + 0.362145i
\(223\) 3.75803 + 16.4650i 0.251656 + 1.10258i 0.929921 + 0.367760i \(0.119875\pi\)
−0.678264 + 0.734818i \(0.737268\pi\)
\(224\) −11.7449 + 9.27670i −0.784740 + 0.619826i
\(225\) −1.11040 + 4.86497i −0.0740265 + 0.324331i
\(226\) −4.42274 2.17762i −0.294196 0.144853i
\(227\) 12.9783 0.861398 0.430699 0.902496i \(-0.358267\pi\)
0.430699 + 0.902496i \(0.358267\pi\)
\(228\) −0.529234 + 0.243582i −0.0350494 + 0.0161316i
\(229\) −3.93075 8.16229i −0.259751 0.539379i 0.729783 0.683679i \(-0.239621\pi\)
−0.989534 + 0.144300i \(0.953907\pi\)
\(230\) −0.270194 1.23330i −0.0178161 0.0813216i
\(231\) −7.52710 + 3.99310i −0.495247 + 0.262727i
\(232\) 2.27436 + 1.16956i 0.149319 + 0.0767857i
\(233\) −4.46702 + 19.5713i −0.292644 + 1.28216i 0.588186 + 0.808725i \(0.299842\pi\)
−0.880830 + 0.473432i \(0.843015\pi\)
\(234\) −0.261181 0.554676i −0.0170739 0.0362603i
\(235\) 0.273927 + 0.568816i 0.0178690 + 0.0371054i
\(236\) −5.69912 + 23.1035i −0.370981 + 1.50391i
\(237\) −1.76346 + 3.66187i −0.114549 + 0.237864i
\(238\) −1.70413 6.54752i −0.110462 0.424413i
\(239\) −8.61501 17.8893i −0.557259 1.15716i −0.969274 0.245983i \(-0.920889\pi\)
0.412015 0.911177i \(-0.364825\pi\)
\(240\) 0.302578 + 0.259075i 0.0195313 + 0.0167232i
\(241\) −25.6883 + 5.86318i −1.65473 + 0.377680i −0.945070 0.326868i \(-0.894007\pi\)
−0.709656 + 0.704548i \(0.751150\pi\)
\(242\) 0.547888 + 0.699463i 0.0352196 + 0.0449632i
\(243\) 0.623490 0.781831i 0.0399969 0.0501545i
\(244\) −0.803441 + 0.618099i −0.0514351 + 0.0395697i
\(245\) −0.252667 + 0.649689i −0.0161423 + 0.0415071i
\(246\) −5.76475 + 11.7082i −0.367547 + 0.746488i
\(247\) 0.0987331 + 0.0787370i 0.00628224 + 0.00500992i
\(248\) 1.75095 6.84087i 0.111185 0.434396i
\(249\) −3.50399 15.3520i −0.222056 0.972893i
\(250\) −1.10760 + 0.867583i −0.0700509 + 0.0548708i
\(251\) 26.9847 12.9951i 1.70326 0.820246i 0.710016 0.704185i \(-0.248688\pi\)
0.993242 0.116061i \(-0.0370268\pi\)
\(252\) 0.113743 + 5.29028i 0.00716513 + 0.333256i
\(253\) 26.0123 + 12.5269i 1.63538 + 0.787556i
\(254\) −0.588790 + 0.128993i −0.0369440 + 0.00809375i
\(255\) −0.162236 + 0.0781288i −0.0101596 + 0.00489261i
\(256\) −14.8646 + 5.91984i −0.929036 + 0.369990i
\(257\) 19.5395 + 4.45977i 1.21884 + 0.278193i 0.783110 0.621883i \(-0.213632\pi\)
0.435733 + 0.900076i \(0.356489\pi\)
\(258\) 6.67503 + 14.1759i 0.415570 + 0.882555i
\(259\) −10.1975 1.91313i −0.633639 0.118876i
\(260\) 0.0206793 0.0838311i 0.00128248 0.00519899i
\(261\) 0.814654 0.392317i 0.0504258 0.0242838i
\(262\) −3.05344 + 3.76110i −0.188642 + 0.232361i
\(263\) 15.2041i 0.937526i −0.883324 0.468763i \(-0.844700\pi\)
0.883324 0.468763i \(-0.155300\pi\)
\(264\) −8.93063 + 1.79382i −0.549642 + 0.110402i
\(265\) −0.692426 0.158042i −0.0425354 0.00970842i
\(266\) −0.502366 0.967265i −0.0308020 0.0593068i
\(267\) −3.80128 + 0.867618i −0.232635 + 0.0530974i
\(268\) −11.6818 9.65419i −0.713582 0.589724i
\(269\) −7.86310 + 6.27061i −0.479421 + 0.382326i −0.833172 0.553014i \(-0.813478\pi\)
0.353751 + 0.935340i \(0.384906\pi\)
\(270\) 0.137571 0.0301393i 0.00837230 0.00183422i
\(271\) −2.19942 9.63628i −0.133605 0.585363i −0.996761 0.0804244i \(-0.974372\pi\)
0.863156 0.504938i \(-0.168485\pi\)
\(272\) 0.252374 7.22839i 0.0153024 0.438285i
\(273\) 1.01324 0.537521i 0.0613241 0.0325322i
\(274\) −13.1455 + 16.1921i −0.794151 + 0.978202i
\(275\) 16.0707i 0.969097i
\(276\) 14.2109 10.9327i 0.855397 0.658070i
\(277\) −1.83330 + 8.03219i −0.110152 + 0.482608i 0.889517 + 0.456901i \(0.151041\pi\)
−0.999670 + 0.0257065i \(0.991816\pi\)
\(278\) −21.3989 0.186711i −1.28342 0.0111982i
\(279\) −1.55659 1.95191i −0.0931908 0.116858i
\(280\) −0.457159 + 0.588525i −0.0273205 + 0.0351711i
\(281\) −3.05972 + 3.83676i −0.182527 + 0.228882i −0.864674 0.502333i \(-0.832475\pi\)
0.682147 + 0.731215i \(0.261047\pi\)
\(282\) −5.65098 + 6.96064i −0.336511 + 0.414500i
\(283\) −6.50037 + 8.15120i −0.386407 + 0.484539i −0.936551 0.350531i \(-0.886001\pi\)
0.550144 + 0.835069i \(0.314573\pi\)
\(284\) 1.60704 3.19328i 0.0953601 0.189486i
\(285\) −0.0226801 + 0.0180867i −0.00134345 + 0.00107137i
\(286\) 1.21755 + 1.55439i 0.0719951 + 0.0919129i
\(287\) −22.3931 9.72880i −1.32182 0.574273i
\(288\) −1.49809 + 5.45488i −0.0882757 + 0.321432i
\(289\) −12.3707 5.95741i −0.727687 0.350436i
\(290\) 0.123897 + 0.0294183i 0.00727548 + 0.00172750i
\(291\) 2.01176 4.17747i 0.117932 0.244888i
\(292\) −0.498571 + 28.5684i −0.0291767 + 1.67184i
\(293\) 7.51453i 0.439004i −0.975612 0.219502i \(-0.929557\pi\)
0.975612 0.219502i \(-0.0704432\pi\)
\(294\) −9.87582 + 0.684195i −0.575970 + 0.0399030i
\(295\) 1.18486i 0.0689851i
\(296\) −9.86393 5.07242i −0.573329 0.294828i
\(297\) −1.39733 + 2.90159i −0.0810813 + 0.168367i
\(298\) −3.04160 + 12.8099i −0.176195 + 0.742056i
\(299\) −3.50157 1.68627i −0.202501 0.0975194i
\(300\) −8.91489 4.48647i −0.514701 0.259027i
\(301\) −25.8955 + 13.7375i −1.49259 + 0.791815i
\(302\) 14.7456 11.5502i 0.848515 0.664640i
\(303\) 8.63811 6.88867i 0.496247 0.395743i
\(304\) −0.219485 1.14434i −0.0125883 0.0656323i
\(305\) −0.0314699 + 0.0394620i −0.00180196 + 0.00225959i
\(306\) −1.98529 1.61176i −0.113492 0.0921380i
\(307\) 4.49049 5.63090i 0.256286 0.321372i −0.636998 0.770866i \(-0.719824\pi\)
0.893284 + 0.449493i \(0.148395\pi\)
\(308\) −4.14831 16.5288i −0.236372 0.941814i
\(309\) −1.87104 2.34621i −0.106440 0.133471i
\(310\) 0.00306771 0.351590i 0.000174234 0.0199690i
\(311\) −6.27818 + 27.5065i −0.356003 + 1.55975i 0.407044 + 0.913409i \(0.366560\pi\)
−0.763047 + 0.646343i \(0.776298\pi\)
\(312\) 1.20217 0.241471i 0.0680596 0.0136706i
\(313\) 6.93212i 0.391827i −0.980621 0.195913i \(-0.937233\pi\)
0.980621 0.195913i \(-0.0627671\pi\)
\(314\) 23.2840 + 18.9031i 1.31399 + 1.06676i
\(315\) 0.0685863 + 0.254392i 0.00386440 + 0.0143334i
\(316\) −6.26590 5.17831i −0.352485 0.291303i
\(317\) 3.96119 + 17.3551i 0.222483 + 0.974760i 0.955602 + 0.294660i \(0.0952064\pi\)
−0.733120 + 0.680100i \(0.761936\pi\)
\(318\) −2.15849 9.85244i −0.121042 0.552497i
\(319\) −2.27668 + 1.81559i −0.127470 + 0.101654i
\(320\) −0.648005 + 0.463447i −0.0362246 + 0.0259075i
\(321\) −3.65166 + 0.833468i −0.203816 + 0.0465197i
\(322\) 21.6969 + 25.5813i 1.20912 + 1.42559i
\(323\) 0.513520 + 0.117208i 0.0285730 + 0.00652161i
\(324\) 1.21951 + 1.58518i 0.0677503 + 0.0880658i
\(325\) 2.16331i 0.119999i
\(326\) 13.2582 + 10.7636i 0.734301 + 0.596141i
\(327\) −5.97245 + 2.87618i −0.330277 + 0.159053i
\(328\) −19.9736 16.8022i −1.10286 0.927744i
\(329\) −13.5112 9.93944i −0.744895 0.547979i
\(330\) −0.410343 + 0.193218i −0.0225886 + 0.0106363i
\(331\) 8.13197 + 1.85607i 0.446974 + 0.102019i 0.440082 0.897957i \(-0.354949\pi\)
0.00689126 + 0.999976i \(0.497806\pi\)
\(332\) 31.4888 + 0.549538i 1.72817 + 0.0301598i
\(333\) −3.53317 + 1.70148i −0.193616 + 0.0932407i
\(334\) 3.02046 + 13.7869i 0.165272 + 0.754386i
\(335\) −0.679865 0.327406i −0.0371450 0.0178881i
\(336\) −10.3271 2.31317i −0.563390 0.126194i
\(337\) 27.4735 13.2305i 1.49657 0.720712i 0.506629 0.862164i \(-0.330891\pi\)
0.989945 + 0.141452i \(0.0451770\pi\)
\(338\) 11.1730 + 14.2640i 0.607730 + 0.775860i
\(339\) −0.775680 3.39847i −0.0421291 0.184580i
\(340\) −0.0739993 0.352452i −0.00401317 0.0191144i
\(341\) 6.28615 + 5.01304i 0.340414 + 0.271471i
\(342\) −0.369589 0.181974i −0.0199851 0.00984003i
\(343\) −2.15901 18.3940i −0.116576 0.993182i
\(344\) −30.7241 + 6.17130i −1.65653 + 0.332734i
\(345\) 0.556627 0.697988i 0.0299678 0.0375784i
\(346\) −14.0501 + 11.0054i −0.755335 + 0.591653i
\(347\) −6.82725 + 1.55827i −0.366506 + 0.0836525i −0.401807 0.915724i \(-0.631618\pi\)
0.0353018 + 0.999377i \(0.488761\pi\)
\(348\) 0.371581 + 1.76981i 0.0199188 + 0.0948717i
\(349\) 4.60062 + 9.55328i 0.246265 + 0.511375i 0.987059 0.160357i \(-0.0512647\pi\)
−0.740794 + 0.671733i \(0.765550\pi\)
\(350\) 7.58910 17.0593i 0.405654 0.911856i
\(351\) 0.188098 0.390589i 0.0100399 0.0208481i
\(352\) 0.794512 18.2007i 0.0423477 0.970099i
\(353\) 4.58771 + 9.52648i 0.244179 + 0.507043i 0.986654 0.162831i \(-0.0520624\pi\)
−0.742475 + 0.669874i \(0.766348\pi\)
\(354\) −15.2231 + 7.16812i −0.809099 + 0.380981i
\(355\) 0.0396088 0.173537i 0.00210222 0.00921041i
\(356\) 0.136070 7.79690i 0.00721171 0.413235i
\(357\) 2.83490 3.85362i 0.150039 0.203955i
\(358\) 1.80843 0.396195i 0.0955786 0.0209396i
\(359\) 1.99649 + 4.14575i 0.105371 + 0.218805i 0.946987 0.321271i \(-0.104110\pi\)
−0.841617 + 0.540075i \(0.818396\pi\)
\(360\) −0.00737185 + 0.281571i −0.000388530 + 0.0148401i
\(361\) −18.9151 −0.995534
\(362\) 14.5079 29.4654i 0.762516 1.54867i
\(363\) −0.139802 + 0.612512i −0.00733769 + 0.0321485i
\(364\) 0.558414 + 2.22498i 0.0292689 + 0.116620i
\(365\) 0.316581 + 1.38703i 0.0165706 + 0.0726005i
\(366\) −0.697397 0.165591i −0.0364535 0.00865558i
\(367\) 5.06983 + 6.35737i 0.264643 + 0.331852i 0.896343 0.443361i \(-0.146214\pi\)
−0.631700 + 0.775213i \(0.717643\pi\)
\(368\) 14.4220 + 32.8314i 0.751799 + 1.71146i
\(369\) −8.99670 + 2.05344i −0.468349 + 0.106898i
\(370\) −0.537343 0.127588i −0.0279351 0.00663296i
\(371\) 18.2188 4.91195i 0.945876 0.255016i
\(372\) 4.53580 2.08762i 0.235170 0.108238i
\(373\) 19.3603 1.00244 0.501219 0.865321i \(-0.332885\pi\)
0.501219 + 0.865321i \(0.332885\pi\)
\(374\) 7.38841 + 3.63782i 0.382046 + 0.188107i
\(375\) −0.969915 0.221377i −0.0500862 0.0114318i
\(376\) −10.8093 14.3072i −0.557448 0.737835i
\(377\) 0.306469 0.244401i 0.0157840 0.0125873i
\(378\) −2.85352 + 2.42022i −0.146769 + 0.124483i
\(379\) 21.8478 + 17.4231i 1.12225 + 0.894963i 0.995290 0.0969453i \(-0.0309072\pi\)
0.126958 + 0.991908i \(0.459479\pi\)
\(380\) −0.0242570 0.0527035i −0.00124436 0.00270363i
\(381\) −0.333226 0.265739i −0.0170717 0.0136142i
\(382\) −0.145862 + 16.7172i −0.00746295 + 0.855327i
\(383\) −1.53609 1.92620i −0.0784907 0.0984242i 0.741036 0.671466i \(-0.234335\pi\)
−0.819526 + 0.573041i \(0.805763\pi\)
\(384\) −9.87467 5.52185i −0.503915 0.281786i
\(385\) −0.397651 0.749583i −0.0202662 0.0382023i
\(386\) −7.23807 0.0631541i −0.368408 0.00321446i
\(387\) −4.80724 + 9.98234i −0.244366 + 0.507431i
\(388\) 7.14816 + 5.90743i 0.362893 + 0.299904i
\(389\) 11.5003 + 5.53824i 0.583088 + 0.280800i 0.702084 0.712095i \(-0.252253\pi\)
−0.118996 + 0.992895i \(0.537968\pi\)
\(390\) 0.0552372 0.0260096i 0.00279704 0.00131705i
\(391\) −16.2102 −0.819786
\(392\) 3.40193 19.5045i 0.171823 0.985128i
\(393\) −3.42559 −0.172798
\(394\) 26.2116 12.3423i 1.32052 0.621794i
\(395\) −0.364666 0.175614i −0.0183483 0.00883609i
\(396\) −4.96496 4.10318i −0.249499 0.206193i
\(397\) −1.18100 + 2.45238i −0.0592728 + 0.123081i −0.928501 0.371330i \(-0.878902\pi\)
0.869228 + 0.494411i \(0.164616\pi\)
\(398\) −26.4895 0.231128i −1.32780 0.0115854i
\(399\) 0.307106 0.706875i 0.0153745 0.0353880i
\(400\) 12.9820 15.1619i 0.649101 0.758093i
\(401\) 15.0268 + 18.8430i 0.750402 + 0.940974i 0.999623 0.0274725i \(-0.00874588\pi\)
−0.249221 + 0.968447i \(0.580174\pi\)
\(402\) 0.0934971 10.7157i 0.00466321 0.534449i
\(403\) −0.846193 0.674816i −0.0421519 0.0336150i
\(404\) 9.23873 + 20.0731i 0.459644 + 0.998673i
\(405\) 0.0778583 + 0.0620899i 0.00386881 + 0.00308527i
\(406\) −3.27412 + 0.852157i −0.162492 + 0.0422919i
\(407\) 9.87400 7.87425i 0.489436 0.390312i
\(408\) 4.08065 3.08300i 0.202022 0.152631i
\(409\) −23.5080 5.36555i −1.16240 0.265309i −0.402541 0.915402i \(-0.631873\pi\)
−0.759855 + 0.650092i \(0.774730\pi\)
\(410\) −1.16596 0.574080i −0.0575825 0.0283518i
\(411\) −14.7477 −0.727451
\(412\) 5.45208 2.50935i 0.268605 0.123627i
\(413\) −14.7523 27.8084i −0.725912 1.36836i
\(414\) 12.3353 + 2.92890i 0.606245 + 0.143948i
\(415\) 1.52882 0.348943i 0.0750469 0.0171290i
\(416\) −0.106951 + 2.45003i −0.00524371 + 0.120123i
\(417\) −9.43457 11.8306i −0.462013 0.579346i
\(418\) 1.29083 + 0.306498i 0.0631367 + 0.0149913i
\(419\) −1.89739 8.31300i −0.0926934 0.406116i 0.907200 0.420699i \(-0.138215\pi\)
−0.999894 + 0.0145827i \(0.995358\pi\)
\(420\) −0.526830 + 0.0113270i −0.0257067 + 0.000552703i
\(421\) 4.12697 18.0814i 0.201136 0.881236i −0.769110 0.639116i \(-0.779300\pi\)
0.970246 0.242119i \(-0.0778426\pi\)
\(422\) −6.95947 + 14.1347i −0.338782 + 0.688065i
\(423\) −6.33972 −0.308248
\(424\) 20.1653 + 0.527950i 0.979314 + 0.0256395i
\(425\) 3.91496 + 8.12949i 0.189903 + 0.394338i
\(426\) 2.46924 0.540966i 0.119635 0.0262099i
\(427\) 0.247266 1.31799i 0.0119660 0.0637820i
\(428\) 0.130715 7.49001i 0.00631833 0.362043i
\(429\) −0.310676 + 1.36116i −0.0149996 + 0.0657174i
\(430\) −1.41170 + 0.664730i −0.0680784 + 0.0320561i
\(431\) 7.43353 + 15.4359i 0.358061 + 0.743521i 0.999725 0.0234652i \(-0.00746989\pi\)
−0.641664 + 0.766986i \(0.721756\pi\)
\(432\) −3.66224 + 1.60873i −0.176200 + 0.0773999i
\(433\) −11.8997 + 24.7100i −0.571863 + 1.18748i 0.391723 + 0.920083i \(0.371879\pi\)
−0.963585 + 0.267402i \(0.913835\pi\)
\(434\) 4.30553 + 8.28995i 0.206672 + 0.397930i
\(435\) 0.0390687 + 0.0811269i 0.00187320 + 0.00388974i
\(436\) −2.72416 12.9750i −0.130464 0.621388i
\(437\) −2.54598 + 0.581103i −0.121791 + 0.0277979i
\(438\) −15.9054 + 12.4587i −0.759990 + 0.595298i
\(439\) 3.77614 4.73513i 0.180225 0.225995i −0.683510 0.729941i \(-0.739547\pi\)
0.863735 + 0.503946i \(0.168119\pi\)
\(440\) −0.178637 0.889352i −0.00851619 0.0423982i
\(441\) −4.77707 5.11661i −0.227479 0.243648i
\(442\) −0.994571 0.489696i −0.0473069 0.0232925i
\(443\) 17.8627 + 14.2450i 0.848681 + 0.676800i 0.948005 0.318255i \(-0.103097\pi\)
−0.0993245 + 0.995055i \(0.531668\pi\)
\(444\) −1.61155 7.67569i −0.0764808 0.364272i
\(445\) −0.0864014 0.378549i −0.00409582 0.0179449i
\(446\) −14.7278 18.8024i −0.697384 0.890317i
\(447\) −8.38783 + 4.03937i −0.396731 + 0.191055i
\(448\) 9.43835 18.9451i 0.445920 0.895073i
\(449\) 28.7190 + 13.8303i 1.35533 + 0.652694i 0.963591 0.267382i \(-0.0861584\pi\)
0.391742 + 0.920075i \(0.371873\pi\)
\(450\) −1.51025 6.89355i −0.0711939 0.324965i
\(451\) 26.7760 12.8947i 1.26083 0.607186i
\(452\) 6.97068 + 0.121651i 0.327873 + 0.00572200i
\(453\) 12.9126 + 2.94721i 0.606685 + 0.138472i
\(454\) −16.6053 + 7.81894i −0.779324 + 0.366961i
\(455\) 0.0535287 + 0.100903i 0.00250947 + 0.00473041i
\(456\) 0.530388 0.630500i 0.0248377 0.0295259i
\(457\) −17.0128 + 8.19293i −0.795825 + 0.383249i −0.787188 0.616714i \(-0.788464\pi\)
−0.00863743 + 0.999963i \(0.502749\pi\)
\(458\) 9.94675 + 8.07525i 0.464781 + 0.377332i
\(459\) 1.80820i 0.0843994i
\(460\) 1.08873 + 1.41519i 0.0507621 + 0.0659835i
\(461\) −8.87806 2.02636i −0.413492 0.0943769i 0.0107137 0.999943i \(-0.496590\pi\)
−0.424206 + 0.905566i \(0.639447\pi\)
\(462\) 7.22499 9.64385i 0.336137 0.448673i
\(463\) −28.1302 + 6.42053i −1.30732 + 0.298387i −0.818756 0.574141i \(-0.805336\pi\)
−0.488563 + 0.872528i \(0.662479\pi\)
\(464\) −3.61459 0.126201i −0.167803 0.00585874i
\(465\) 0.194380 0.155013i 0.00901414 0.00718854i
\(466\) −6.07559 27.7320i −0.281446 1.28466i
\(467\) 5.51726 + 24.1727i 0.255309 + 1.11858i 0.926203 + 0.377026i \(0.123053\pi\)
−0.670894 + 0.741553i \(0.734089\pi\)
\(468\) 0.668345 + 0.552338i 0.0308943 + 0.0255319i
\(469\) 20.0328 0.780613i 0.925027 0.0360454i
\(470\) −0.693172 0.562750i −0.0319736 0.0259577i
\(471\) 21.2070i 0.977165i
\(472\) −6.62717 32.9937i −0.305040 1.51866i
\(473\) 7.93997 34.7873i 0.365080 1.59952i
\(474\) 0.0501500 5.74767i 0.00230346 0.263999i
\(475\) 0.906309 + 1.13648i 0.0415843 + 0.0521451i
\(476\) 6.12502 + 7.35067i 0.280740 + 0.336917i
\(477\) 4.44670 5.57599i 0.203601 0.255307i
\(478\) 21.8003 + 17.6985i 0.997121 + 0.809510i
\(479\) −7.52756 + 9.43927i −0.343943 + 0.431291i −0.923475 0.383659i \(-0.874664\pi\)
0.579532 + 0.814950i \(0.303235\pi\)
\(480\) −0.543222 0.149186i −0.0247946 0.00680940i
\(481\) −1.32916 + 1.05997i −0.0606046 + 0.0483305i
\(482\) 29.3349 22.9780i 1.33617 1.04662i
\(483\) −4.37353 + 23.3120i −0.199002 + 1.06073i
\(484\) −1.12241 0.564858i −0.0510185 0.0256754i
\(485\) 0.416012 + 0.200341i 0.0188901 + 0.00909700i
\(486\) −0.326710 + 1.37596i −0.0148199 + 0.0624147i
\(487\) −13.4428 + 27.9143i −0.609153 + 1.26492i 0.337093 + 0.941471i \(0.390556\pi\)
−0.946246 + 0.323448i \(0.895158\pi\)
\(488\) 0.655595 1.27488i 0.0296774 0.0577112i
\(489\) 12.0755i 0.546072i
\(490\) −0.0681352 0.983479i −0.00307803 0.0444291i
\(491\) 21.2953i 0.961042i −0.876983 0.480521i \(-0.840448\pi\)
0.876983 0.480521i \(-0.159552\pi\)
\(492\) 0.322045 18.4533i 0.0145189 0.831940i
\(493\) 0.709386 1.47306i 0.0319491 0.0663431i
\(494\) −0.173762 0.0412583i −0.00781792 0.00185630i
\(495\) −0.288953 0.139152i −0.0129875 0.00625444i
\(496\) 1.88110 + 9.80756i 0.0844637 + 0.440372i
\(497\) 1.23105 + 4.56605i 0.0552199 + 0.204815i
\(498\) 13.7323 + 17.5313i 0.615357 + 0.785598i
\(499\) 2.87794 2.29508i 0.128834 0.102742i −0.556953 0.830544i \(-0.688030\pi\)
0.685787 + 0.727802i \(0.259458\pi\)
\(500\) 0.894454 1.77733i 0.0400012 0.0794848i
\(501\) −6.22245 + 7.80270i −0.277998 + 0.348599i
\(502\) −26.6969 + 32.8842i −1.19154 + 1.46769i
\(503\) −2.69326 + 3.37725i −0.120087 + 0.150584i −0.838241 0.545300i \(-0.816416\pi\)
0.718154 + 0.695884i \(0.244987\pi\)
\(504\) −3.33273 6.70022i −0.148452 0.298451i
\(505\) 0.686004 + 0.860222i 0.0305268 + 0.0382794i
\(506\) −40.8288 0.356243i −1.81506 0.0158369i
\(507\) −2.85095 + 12.4908i −0.126615 + 0.554737i
\(508\) 0.675624 0.519767i 0.0299760 0.0230609i
\(509\) 15.9436i 0.706688i −0.935493 0.353344i \(-0.885045\pi\)
0.935493 0.353344i \(-0.114955\pi\)
\(510\) 0.160506 0.197705i 0.00710733 0.00875451i
\(511\) −24.6996 28.6118i −1.09264 1.26571i
\(512\) 15.4522 16.5296i 0.682899 0.730513i
\(513\) −0.0648202 0.283996i −0.00286188 0.0125387i
\(514\) −27.6871 + 6.06574i −1.22122 + 0.267548i
\(515\) 0.233646 0.186327i 0.0102957 0.00821054i
\(516\) −17.0810 14.1162i −0.751948 0.621430i
\(517\) 19.9053 4.54325i 0.875433 0.199812i
\(518\) 14.1999 3.69582i 0.623908 0.162385i
\(519\) −12.3035 2.80818i −0.540062 0.123266i
\(520\) 0.0240468 + 0.119718i 0.00105452 + 0.00524997i
\(521\) 16.7274i 0.732841i −0.930449 0.366420i \(-0.880583\pi\)
0.930449 0.366420i \(-0.119417\pi\)
\(522\) −0.805967 + 0.992756i −0.0352762 + 0.0434518i
\(523\) 38.0435 18.3208i 1.66352 0.801111i 0.664998 0.746845i \(-0.268432\pi\)
0.998527 0.0542658i \(-0.0172818\pi\)
\(524\) 1.64085 6.65179i 0.0716808 0.290585i
\(525\) 12.7474 3.43679i 0.556340 0.149994i
\(526\) 9.15993 + 19.4532i 0.399392 + 0.848198i
\(527\) −4.40113 1.00453i −0.191716 0.0437580i
\(528\) 10.3457 7.67552i 0.450240 0.334034i
\(529\) 51.6872 24.8912i 2.24727 1.08223i
\(530\) 0.981150 0.214952i 0.0426185 0.00933693i
\(531\) −10.7197 5.16235i −0.465197 0.224027i
\(532\) 1.22550 + 0.934927i 0.0531323 + 0.0405342i
\(533\) −3.60438 + 1.73578i −0.156123 + 0.0751850i
\(534\) 4.34091 3.40023i 0.187850 0.147142i
\(535\) −0.0830006 0.363649i −0.00358843 0.0157219i
\(536\) 20.7628 + 5.31434i 0.896818 + 0.229544i
\(537\) 1.02348 + 0.816200i 0.0441665 + 0.0352216i
\(538\) 6.28276 12.7603i 0.270869 0.550134i
\(539\) 18.6656 + 12.6416i 0.803985 + 0.544511i
\(540\) −0.157860 + 0.121444i −0.00679320 + 0.00522611i
\(541\) 15.4158 19.3309i 0.662779 0.831098i −0.330864 0.943678i \(-0.607340\pi\)
0.993643 + 0.112580i \(0.0359116\pi\)
\(542\) 8.61960 + 11.0042i 0.370243 + 0.472673i
\(543\) 22.6415 5.16778i 0.971641 0.221771i
\(544\) 4.03194 + 9.40053i 0.172868 + 0.403044i
\(545\) −0.286423 0.594764i −0.0122690 0.0254769i
\(546\) −0.972572 + 1.29818i −0.0416222 + 0.0555570i
\(547\) 5.35169 11.1129i 0.228822 0.475154i −0.754670 0.656104i \(-0.772203\pi\)
0.983492 + 0.180951i \(0.0579174\pi\)
\(548\) 7.06412 28.6370i 0.301764 1.22331i
\(549\) −0.219912 0.456651i −0.00938559 0.0194894i
\(550\) 9.68199 + 20.5619i 0.412841 + 0.876761i
\(551\) 0.0586103 0.256788i 0.00249688 0.0109395i
\(552\) −11.5959 + 22.5496i −0.493553 + 0.959774i
\(553\) 10.7452 0.418705i 0.456931 0.0178052i
\(554\) −2.49346 11.3814i −0.105937 0.483550i
\(555\) −0.169441 0.351849i −0.00719239 0.0149351i
\(556\) 27.4917 12.6532i 1.16591 0.536614i
\(557\) −18.4403 −0.781339 −0.390670 0.920531i \(-0.627756\pi\)
−0.390670 + 0.920531i \(0.627756\pi\)
\(558\) 3.16756 + 1.55961i 0.134094 + 0.0660235i
\(559\) −1.06882 + 4.68280i −0.0452062 + 0.198061i
\(560\) 0.230356 1.02842i 0.00973430 0.0434587i
\(561\) 1.29581 + 5.67733i 0.0547093 + 0.239697i
\(562\) 1.60330 6.75238i 0.0676310 0.284832i
\(563\) −18.8789 23.6734i −0.795649 0.997713i −0.999824 0.0187783i \(-0.994022\pi\)
0.204174 0.978935i \(-0.434549\pi\)
\(564\) 3.03671 12.3104i 0.127869 0.518362i
\(565\) 0.338436 0.0772457i 0.0142381 0.00324975i
\(566\) 3.40620 14.3454i 0.143173 0.602984i
\(567\) −2.60038 0.487853i −0.109206 0.0204879i
\(568\) −0.132316 + 5.05388i −0.00555187 + 0.212056i
\(569\) 38.9896 1.63453 0.817265 0.576262i \(-0.195489\pi\)
0.817265 + 0.576262i \(0.195489\pi\)
\(570\) 0.0181218 0.0368053i 0.000759038 0.00154161i
\(571\) −33.2694 7.59351i −1.39228 0.317779i −0.540352 0.841439i \(-0.681709\pi\)
−0.851927 + 0.523660i \(0.824566\pi\)
\(572\) −2.49428 1.25526i −0.104291 0.0524850i
\(573\) −9.24226 + 7.37046i −0.386101 + 0.307905i
\(574\) 34.5125 1.04336i 1.44052 0.0435489i
\(575\) −34.9755 27.8920i −1.45858 1.16318i
\(576\) −1.36961 7.88189i −0.0570672 0.328412i
\(577\) 14.4450 + 11.5195i 0.601352 + 0.479562i 0.876215 0.481921i \(-0.160061\pi\)
−0.274862 + 0.961484i \(0.588632\pi\)
\(578\) 19.4170 + 0.169419i 0.807641 + 0.00704688i
\(579\) −3.19120 4.00164i −0.132622 0.166302i
\(580\) −0.176246 + 0.0370037i −0.00731820 + 0.00153649i
\(581\) −31.5366 + 27.2245i −1.30836 + 1.12946i
\(582\) −0.0572112 + 6.55696i −0.00237148 + 0.271795i
\(583\) −9.96570 + 20.6940i −0.412737 + 0.857058i
\(584\) −16.5735 36.8527i −0.685817 1.52498i
\(585\) 0.0388966 + 0.0187316i 0.00160818 + 0.000774458i
\(586\) 4.52723 + 9.61460i 0.187018 + 0.397175i
\(587\) −27.3889 −1.13046 −0.565230 0.824934i \(-0.691212\pi\)
−0.565230 + 0.824934i \(0.691212\pi\)
\(588\) 12.2236 6.82523i 0.504092 0.281468i
\(589\) −0.727252 −0.0299659
\(590\) −0.713834 1.51599i −0.0293881 0.0624122i
\(591\) 18.4575 + 8.88868i 0.759241 + 0.365631i
\(592\) 15.6765 + 0.547336i 0.644301 + 0.0224954i
\(593\) −2.01452 + 4.18319i −0.0827263 + 0.171783i −0.938229 0.346016i \(-0.887534\pi\)
0.855502 + 0.517799i \(0.173249\pi\)
\(594\) 0.0397377 4.55433i 0.00163046 0.186866i
\(595\) 0.383761 + 0.282312i 0.0157327 + 0.0115737i
\(596\) −3.82586 18.2223i −0.156714 0.746414i
\(597\) −11.6790 14.6450i −0.477989 0.599380i
\(598\) 5.49606 + 0.0479546i 0.224751 + 0.00196101i
\(599\) 35.1376 + 28.0213i 1.43568 + 1.14492i 0.964883 + 0.262678i \(0.0846058\pi\)
0.470799 + 0.882240i \(0.343966\pi\)
\(600\) 14.1093 + 0.369396i 0.576008 + 0.0150805i
\(601\) −20.5040 16.3514i −0.836374 0.666986i 0.108616 0.994084i \(-0.465358\pi\)
−0.944991 + 0.327098i \(0.893929\pi\)
\(602\) 24.8561 33.1778i 1.01306 1.35223i
\(603\) 5.92426 4.72444i 0.241255 0.192394i
\(604\) −11.9080 + 23.6618i −0.484528 + 0.962786i
\(605\) −0.0609967 0.0139221i −0.00247987 0.000566014i
\(606\) −6.90201 + 14.0180i −0.280375 + 0.569441i
\(607\) −3.05315 −0.123923 −0.0619617 0.998079i \(-0.519736\pi\)
−0.0619617 + 0.998079i \(0.519736\pi\)
\(608\) 0.970246 + 1.33191i 0.0393487 + 0.0540162i
\(609\) −1.92702 1.41761i −0.0780868 0.0574443i
\(610\) 0.0164903 0.0694499i 0.000667673 0.00281194i
\(611\) −2.67949 + 0.611577i −0.108401 + 0.0247418i
\(612\) 3.51115 + 0.866122i 0.141930 + 0.0350109i
\(613\) −9.63884 12.0867i −0.389309 0.488178i 0.548098 0.836414i \(-0.315352\pi\)
−0.937407 + 0.348236i \(0.886781\pi\)
\(614\) −2.35302 + 9.90991i −0.0949603 + 0.399931i
\(615\) −0.204491 0.895932i −0.00824586 0.0361275i
\(616\) 15.2656 + 18.6488i 0.615069 + 0.751382i
\(617\) −1.71172 + 7.49954i −0.0689113 + 0.301920i −0.997625 0.0688771i \(-0.978058\pi\)
0.928714 + 0.370797i \(0.120915\pi\)
\(618\) 3.80745 + 1.87467i 0.153158 + 0.0754102i
\(619\) 44.4332 1.78592 0.892961 0.450135i \(-0.148624\pi\)
0.892961 + 0.450135i \(0.148624\pi\)
\(620\) 0.207895 + 0.451696i 0.00834927 + 0.0181405i
\(621\) 3.88970 + 8.07705i 0.156088 + 0.324121i
\(622\) −8.53895 38.9761i −0.342381 1.56280i
\(623\) 6.74102 + 7.80874i 0.270073 + 0.312850i
\(624\) −1.39266 + 1.03322i −0.0557511 + 0.0413619i
\(625\) −5.52994 + 24.2283i −0.221198 + 0.969131i
\(626\) 4.17635 + 8.86942i 0.166921 + 0.354493i
\(627\) 0.407041 + 0.845230i 0.0162557 + 0.0337552i
\(628\) −41.1795 10.1581i −1.64324 0.405352i
\(629\) −3.07662 + 6.38866i −0.122673 + 0.254733i
\(630\) −0.241016 0.284166i −0.00960231 0.0113214i
\(631\) 12.4745 + 25.9036i 0.496604 + 1.03121i 0.987151 + 0.159793i \(0.0510827\pi\)
−0.490547 + 0.871415i \(0.663203\pi\)
\(632\) 11.1368 + 2.85050i 0.442997 + 0.113387i
\(633\) −10.8612 + 2.47900i −0.431695 + 0.0985315i
\(634\) −15.5240 19.8188i −0.616538 0.787106i
\(635\) 0.0264635 0.0331841i 0.00105017 0.00131687i
\(636\) 8.69746 + 11.3055i 0.344877 + 0.448291i
\(637\) −2.51262 1.70171i −0.0995537 0.0674243i
\(638\) 1.81911 3.69461i 0.0720193 0.146271i
\(639\) 1.39747 + 1.11444i 0.0552830 + 0.0440867i
\(640\) 0.549891 0.983364i 0.0217364 0.0388709i
\(641\) −0.540475 2.36798i −0.0213475 0.0935295i 0.963132 0.269030i \(-0.0867029\pi\)
−0.984479 + 0.175500i \(0.943846\pi\)
\(642\) 4.17005 3.26639i 0.164579 0.128914i
\(643\) −39.3033 + 18.9275i −1.54997 + 0.746427i −0.996270 0.0862874i \(-0.972500\pi\)
−0.553702 + 0.832715i \(0.686785\pi\)
\(644\) −43.1723 19.6589i −1.70123 0.774669i
\(645\) −0.994086 0.478727i −0.0391421 0.0188498i
\(646\) −0.727646 + 0.159414i −0.0286288 + 0.00627206i
\(647\) −27.7425 + 13.3601i −1.09067 + 0.525240i −0.890714 0.454565i \(-0.849795\pi\)
−0.199958 + 0.979804i \(0.564081\pi\)
\(648\) −2.51533 1.29348i −0.0988116 0.0508128i
\(649\) 37.3570 + 8.52650i 1.46639 + 0.334694i
\(650\) −1.30331 2.76788i −0.0511202 0.108565i
\(651\) −2.63205 + 6.05828i −0.103158 + 0.237443i
\(652\) −23.4481 5.78412i −0.918297 0.226524i
\(653\) −36.1076 + 17.3885i −1.41300 + 0.680465i −0.975753 0.218876i \(-0.929761\pi\)
−0.437247 + 0.899341i \(0.644047\pi\)
\(654\) 5.90877 7.27817i 0.231051 0.284599i
\(655\) 0.341136i 0.0133293i
\(656\) 35.6783 + 9.46444i 1.39300 + 0.369524i
\(657\) −13.9282 3.17902i −0.543390 0.124025i
\(658\) 23.2753 + 4.57720i 0.907364 + 0.178438i
\(659\) 4.05205 0.924854i 0.157846 0.0360272i −0.142868 0.989742i \(-0.545632\pi\)
0.300713 + 0.953715i \(0.402775\pi\)
\(660\) 0.408613 0.494434i 0.0159052 0.0192458i
\(661\) 5.87709 4.68682i 0.228592 0.182296i −0.502495 0.864580i \(-0.667585\pi\)
0.731087 + 0.682284i \(0.239013\pi\)
\(662\) −11.5228 + 2.52444i −0.447847 + 0.0981151i
\(663\) −0.174432 0.764238i −0.00677439 0.0296806i
\(664\) −40.6200 + 18.2677i −1.57636 + 0.708926i
\(665\) 0.0703938 + 0.0305830i 0.00272976 + 0.00118596i
\(666\) 3.49549 4.30560i 0.135447 0.166839i
\(667\) 8.10599i 0.313865i
\(668\) −12.1707 15.8202i −0.470898 0.612101i
\(669\) 3.75803 16.4650i 0.145294 0.636574i
\(670\) 1.06712 + 0.00931087i 0.0412263 + 0.000359710i
\(671\) 1.01772 + 1.27618i 0.0392888 + 0.0492666i
\(672\) 14.6068 3.26209i 0.563470 0.125838i
\(673\) 29.3544 36.8092i 1.13153 1.41889i 0.237209 0.971459i \(-0.423767\pi\)
0.894318 0.447432i \(-0.147661\pi\)
\(674\) −27.1805 + 33.4798i −1.04695 + 1.28959i
\(675\) 3.11127 3.90140i 0.119753 0.150165i
\(676\) −22.8890 11.5190i −0.880347 0.443040i
\(677\) −10.2151 + 8.14623i −0.392596 + 0.313085i −0.799816 0.600245i \(-0.795070\pi\)
0.407220 + 0.913330i \(0.366498\pi\)
\(678\) 3.03992 + 3.88092i 0.116747 + 0.149046i
\(679\) −12.2581 + 0.477660i −0.470423 + 0.0183309i
\(680\) 0.307020 + 0.406370i 0.0117737 + 0.0155836i
\(681\) −11.6930 5.63106i −0.448077 0.215783i
\(682\) −11.0631 2.62684i −0.423628 0.100587i
\(683\) −12.7595 + 26.4953i −0.488227 + 1.01381i 0.500729 + 0.865604i \(0.333065\pi\)
−0.988956 + 0.148209i \(0.952649\pi\)
\(684\) 0.582510 + 0.0101659i 0.0222728 + 0.000388702i
\(685\) 1.46864i 0.0561140i
\(686\) 13.8441 + 22.2338i 0.528570 + 0.848890i
\(687\) 9.05946i 0.345640i
\(688\) 35.5925 26.4061i 1.35695 1.00672i
\(689\) 1.34151 2.78567i 0.0511073 0.106125i
\(690\) −0.291673 + 1.22840i −0.0111038 + 0.0467644i
\(691\) −12.9649 6.24354i −0.493206 0.237516i 0.170712 0.985321i \(-0.445393\pi\)
−0.663918 + 0.747805i \(0.731108\pi\)
\(692\) 11.3462 22.5457i 0.431319 0.857058i
\(693\) 8.51423 0.331773i 0.323429 0.0126030i
\(694\) 7.79643 6.10693i 0.295949 0.231816i
\(695\) 1.17814 0.939537i 0.0446895 0.0356387i
\(696\) −1.54167 2.04055i −0.0584369 0.0773468i
\(697\) −10.4037 + 13.0458i −0.394067 + 0.494144i
\(698\) −11.6418 9.45140i −0.440650 0.357741i
\(699\) 12.5163 15.6949i 0.473410 0.593637i
\(700\) 0.567587 + 26.3989i 0.0214528 + 0.997786i
\(701\) −28.2283 35.3971i −1.06617 1.33693i −0.938564 0.345106i \(-0.887843\pi\)
−0.127603 0.991825i \(-0.540728\pi\)
\(702\) −0.00534919 + 0.613068i −0.000201892 + 0.0231388i
\(703\) −0.254194 + 1.11369i −0.00958709 + 0.0420038i
\(704\) 9.94869 + 23.7658i 0.374955 + 0.895708i
\(705\) 0.631338i 0.0237776i
\(706\) −11.6092 9.42489i −0.436918 0.354710i
\(707\) −26.8108 11.6481i −1.00832 0.438071i
\(708\) 15.1589 18.3428i 0.569708 0.689363i
\(709\) 6.02683 + 26.4053i 0.226342 + 0.991670i 0.952595 + 0.304242i \(0.0984032\pi\)
−0.726253 + 0.687428i \(0.758740\pi\)
\(710\) 0.0538719 + 0.245898i 0.00202178 + 0.00922840i
\(711\) 3.17765 2.53409i 0.119171 0.0950360i
\(712\) 4.52325 + 10.0579i 0.169516 + 0.376934i
\(713\) 21.8203 4.98035i 0.817178 0.186515i
\(714\) −1.30550 + 6.63851i −0.0488570 + 0.248440i
\(715\) −0.135550 0.0309385i −0.00506929 0.00115703i
\(716\) −2.07514 + 1.59643i −0.0775516 + 0.0596615i
\(717\) 19.8556i 0.741520i
\(718\) −5.05211 4.10154i −0.188543 0.153068i
\(719\) −15.2099 + 7.32469i −0.567233 + 0.273165i −0.695442 0.718582i \(-0.744791\pi\)
0.128209 + 0.991747i \(0.459077\pi\)
\(720\) −0.160204 0.364702i −0.00597047 0.0135917i
\(721\) −3.16375 + 7.28212i −0.117824 + 0.271200i
\(722\) 24.2013 11.3957i 0.900680 0.424104i
\(723\) 25.6883 + 5.86318i 0.955357 + 0.218054i
\(724\) −0.810474 + 46.4405i −0.0301210 + 1.72595i
\(725\) 4.06519 1.95769i 0.150977 0.0727069i
\(726\) −0.190144 0.867914i −0.00705692 0.0322113i
\(727\) −19.0828 9.18981i −0.707744 0.340831i 0.0451440 0.998980i \(-0.485625\pi\)
−0.752888 + 0.658149i \(0.771340\pi\)
\(728\) −2.05494 2.51036i −0.0761611 0.0930401i
\(729\) −0.900969 + 0.433884i −0.0333692 + 0.0160698i
\(730\) −1.24069 1.58393i −0.0459200 0.0586240i
\(731\) 4.45799 + 19.5317i 0.164885 + 0.722407i
\(732\) 0.992059 0.208288i 0.0366676 0.00769855i
\(733\) −4.30833 3.43578i −0.159132 0.126903i 0.540687 0.841224i \(-0.318164\pi\)
−0.699819 + 0.714321i \(0.746736\pi\)
\(734\) −10.3168 5.07965i −0.380799 0.187493i
\(735\) 0.509535 0.475722i 0.0187945 0.0175473i
\(736\) −38.2322 33.3180i −1.40926 1.22812i
\(737\) −15.2152 + 19.0792i −0.560457 + 0.702791i
\(738\) 10.2739 8.04749i 0.378186 0.296232i
\(739\) 20.2802 4.62883i 0.746020 0.170274i 0.167420 0.985886i \(-0.446456\pi\)
0.578600 + 0.815612i \(0.303599\pi\)
\(740\) 0.764379 0.160486i 0.0280991 0.00589957i
\(741\) −0.0547928 0.113778i −0.00201286 0.00417975i
\(742\) −20.3512 + 17.2609i −0.747114 + 0.633667i
\(743\) −11.3040 + 23.4731i −0.414705 + 0.861143i 0.584072 + 0.811702i \(0.301458\pi\)
−0.998777 + 0.0494416i \(0.984256\pi\)
\(744\) −4.54569 + 5.40371i −0.166653 + 0.198109i
\(745\) −0.402258 0.835298i −0.0147376 0.0306030i
\(746\) −24.7709 + 11.6639i −0.906926 + 0.427045i
\(747\) −3.50399 + 15.3520i −0.128204 + 0.561700i
\(748\) −11.6449 0.203225i −0.425779 0.00743064i
\(749\) 6.47569 + 7.50138i 0.236616 + 0.274094i
\(750\) 1.37435 0.301094i 0.0501840 0.0109944i
\(751\) −19.4347 40.3566i −0.709184 1.47264i −0.873804 0.486278i \(-0.838354\pi\)
0.164620 0.986357i \(-0.447360\pi\)
\(752\) 22.4497 + 11.7933i 0.818657 + 0.430058i
\(753\) −29.9507 −1.09147
\(754\) −0.244875 + 0.497340i −0.00891781 + 0.0181121i
\(755\) −0.293496 + 1.28589i −0.0106814 + 0.0467984i
\(756\) 2.19289 4.81573i 0.0797546 0.175146i
\(757\) 2.00781 + 8.79680i 0.0729752 + 0.319725i 0.998220 0.0596464i \(-0.0189973\pi\)
−0.925244 + 0.379372i \(0.876140\pi\)
\(758\) −38.4504 9.12972i −1.39658 0.331606i
\(759\) −18.0011 22.5726i −0.653397 0.819334i
\(760\) 0.0627880 + 0.0528184i 0.00227756 + 0.00191593i
\(761\) 5.13003 1.17090i 0.185964 0.0424450i −0.128525 0.991706i \(-0.541024\pi\)
0.314488 + 0.949261i \(0.398167\pi\)
\(762\) 0.586449 + 0.139247i 0.0212448 + 0.00504440i
\(763\) 14.1275 + 10.3929i 0.511451 + 0.376247i
\(764\) −9.88489 21.4770i −0.357623 0.777011i
\(765\) 0.180068 0.00651039
\(766\) 3.12585 + 1.53907i 0.112941 + 0.0556089i
\(767\) −5.02872 1.14777i −0.181576 0.0414436i
\(768\) 15.9610 + 1.11590i 0.575944 + 0.0402665i
\(769\) 3.70432 2.95409i 0.133581 0.106527i −0.554420 0.832237i \(-0.687060\pi\)
0.688001 + 0.725710i \(0.258488\pi\)
\(770\) 0.960379 + 0.719497i 0.0346096 + 0.0259289i