Properties

Label 171.2.x.a.110.5
Level $171$
Weight $2$
Character 171.110
Analytic conductor $1.365$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 171 = 3^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 171.x (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.36544187456\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(18\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 110.5
Character \(\chi\) \(=\) 171.110
Dual form 171.2.x.a.14.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.28119 + 1.07504i) q^{2} +(1.71187 + 0.263611i) q^{3} +(0.138425 - 0.785049i) q^{4} +(0.287058 - 0.788686i) q^{5} +(-2.47662 + 1.50260i) q^{6} +(1.60000 + 2.77129i) q^{7} +(-1.00586 - 1.74220i) q^{8} +(2.86102 + 0.902536i) q^{9} +O(q^{10})\) \(q+(-1.28119 + 1.07504i) q^{2} +(1.71187 + 0.263611i) q^{3} +(0.138425 - 0.785049i) q^{4} +(0.287058 - 0.788686i) q^{5} +(-2.47662 + 1.50260i) q^{6} +(1.60000 + 2.77129i) q^{7} +(-1.00586 - 1.74220i) q^{8} +(2.86102 + 0.902536i) q^{9} +(0.480097 + 1.31905i) q^{10} +0.779960i q^{11} +(0.443914 - 1.30741i) q^{12} +(0.150878 + 0.414534i) q^{13} +(-5.02916 - 1.83046i) q^{14} +(0.699313 - 1.27446i) q^{15} +(4.65980 + 1.69603i) q^{16} +(0.0888182 - 0.244026i) q^{17} +(-4.63577 + 1.91940i) q^{18} +(-4.35307 - 0.225372i) q^{19} +(-0.579421 - 0.334529i) q^{20} +(2.00846 + 5.16587i) q^{21} +(-0.838491 - 0.999275i) q^{22} +(-5.41417 - 0.954665i) q^{23} +(-1.26264 - 3.24758i) q^{24} +(3.29060 + 2.76114i) q^{25} +(-0.638944 - 0.368895i) q^{26} +(4.65978 + 2.29922i) q^{27} +(2.39708 - 0.872464i) q^{28} +(-0.519224 + 2.94466i) q^{29} +(0.474148 + 2.38461i) q^{30} -6.02187i q^{31} +(-4.01259 + 1.46046i) q^{32} +(-0.205606 + 1.33519i) q^{33} +(0.148546 + 0.408126i) q^{34} +(2.64497 - 0.466380i) q^{35} +(1.10457 - 2.12111i) q^{36} -11.1767i q^{37} +(5.81938 - 4.39100i) q^{38} +(0.149008 + 0.749402i) q^{39} +(-1.66279 + 0.293194i) q^{40} +(6.93325 - 5.81769i) q^{41} +(-8.12675 - 4.45926i) q^{42} +(-1.51015 - 8.56448i) q^{43} +(0.612307 + 0.107966i) q^{44} +(1.53310 - 1.99737i) q^{45} +(7.96287 - 4.59737i) q^{46} +(0.169371 + 0.0298646i) q^{47} +(7.52990 + 4.13176i) q^{48} +(-1.62002 + 2.80596i) q^{49} -7.18422 q^{50} +(0.216373 - 0.394328i) q^{51} +(0.346314 - 0.0610645i) q^{52} +(-0.860313 - 0.721888i) q^{53} +(-8.44182 + 2.06374i) q^{54} +(0.615144 + 0.223894i) q^{55} +(3.21875 - 5.57504i) q^{56} +(-7.39249 - 1.53332i) q^{57} +(-2.50042 - 4.33085i) q^{58} +(0.264850 + 1.50204i) q^{59} +(-0.903710 - 0.725412i) q^{60} +(-3.82725 + 1.39301i) q^{61} +(6.47377 + 7.71514i) q^{62} +(2.07645 + 9.37277i) q^{63} +(-1.38804 + 2.40415i) q^{64} +0.370248 q^{65} +(-1.17197 - 1.93167i) q^{66} +(-4.63066 + 5.51861i) q^{67} +(-0.179278 - 0.103506i) q^{68} +(-9.01672 - 3.06150i) q^{69} +(-2.88732 + 3.44098i) q^{70} +(7.53727 - 6.32452i) q^{71} +(-1.30538 - 5.89228i) q^{72} +(0.479455 + 2.71912i) q^{73} +(12.0154 + 14.3194i) q^{74} +(4.90522 + 5.59416i) q^{75} +(-0.779503 + 3.38617i) q^{76} +(-2.16149 + 1.24794i) q^{77} +(-0.996547 - 0.799933i) q^{78} +(-1.20161 + 3.30139i) q^{79} +(2.67527 - 3.18826i) q^{80} +(7.37086 + 5.16434i) q^{81} +(-2.62852 + 14.9071i) q^{82} +(-10.2281 + 5.90517i) q^{83} +(4.33348 - 0.861654i) q^{84} +(-0.166964 - 0.140099i) q^{85} +(11.1420 + 9.34923i) q^{86} +(-1.66509 + 4.90402i) q^{87} +(1.35884 - 0.784529i) q^{88} +(1.74018 - 9.86906i) q^{89} +(0.183072 + 4.20715i) q^{90} +(-0.907387 + 1.08138i) q^{91} +(-1.49892 + 4.11824i) q^{92} +(1.58743 - 10.3087i) q^{93} +(-0.249101 + 0.143819i) q^{94} +(-1.42733 + 3.36851i) q^{95} +(-7.25404 + 1.44237i) q^{96} +(-7.42282 - 8.84617i) q^{97} +(-0.940980 - 5.33656i) q^{98} +(-0.703942 + 2.23148i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 9 q^{2} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 9 q^{2} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 24 q^{9} - 12 q^{10} - 9 q^{12} - 6 q^{13} - 9 q^{14} - 36 q^{15} - 9 q^{16} + 27 q^{17} + 36 q^{18} - 15 q^{19} - 18 q^{20} + 3 q^{21} + 30 q^{22} - 45 q^{23} - 21 q^{24} - 3 q^{25} - 72 q^{26} - 36 q^{28} - 9 q^{29} - 21 q^{30} - 9 q^{32} - 6 q^{33} + 33 q^{34} + 45 q^{35} + 18 q^{36} - 9 q^{38} - 18 q^{39} + 15 q^{40} - 9 q^{41} + 15 q^{42} + 9 q^{43} - 63 q^{44} + 33 q^{45} - 18 q^{46} - 9 q^{47} + 3 q^{48} - 15 q^{49} + 126 q^{50} + 39 q^{51} - 39 q^{52} - 51 q^{54} + 3 q^{55} + 63 q^{56} - 78 q^{57} - 6 q^{58} + 36 q^{59} - 75 q^{60} - 24 q^{61} + 18 q^{62} - 9 q^{63} - 18 q^{65} + 159 q^{66} - 63 q^{67} + 54 q^{68} - 9 q^{69} + 39 q^{70} + 141 q^{72} - 45 q^{73} - 117 q^{74} - 3 q^{76} - 18 q^{77} + 27 q^{78} + 3 q^{79} + 126 q^{80} - 60 q^{81} - 3 q^{82} + 27 q^{83} - 117 q^{84} - 3 q^{85} - 171 q^{86} + 15 q^{87} - 9 q^{88} + 54 q^{89} - 21 q^{90} - 9 q^{91} - 27 q^{92} + 42 q^{93} + 99 q^{95} + 207 q^{96} - 57 q^{97} - 27 q^{98} + 39 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).

\(n\) \(20\) \(154\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{11}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.28119 + 1.07504i −0.905936 + 0.760171i −0.971342 0.237688i \(-0.923610\pi\)
0.0654054 + 0.997859i \(0.479166\pi\)
\(3\) 1.71187 + 0.263611i 0.988350 + 0.152196i
\(4\) 0.138425 0.785049i 0.0692126 0.392524i
\(5\) 0.287058 0.788686i 0.128376 0.352711i −0.858807 0.512299i \(-0.828794\pi\)
0.987184 + 0.159587i \(0.0510164\pi\)
\(6\) −2.47662 + 1.50260i −1.01108 + 0.613435i
\(7\) 1.60000 + 2.77129i 0.604745 + 1.04745i 0.992092 + 0.125514i \(0.0400581\pi\)
−0.387347 + 0.921934i \(0.626609\pi\)
\(8\) −1.00586 1.74220i −0.355625 0.615960i
\(9\) 2.86102 + 0.902536i 0.953673 + 0.300845i
\(10\) 0.480097 + 1.31905i 0.151820 + 0.417122i
\(11\) 0.779960i 0.235167i 0.993063 + 0.117583i \(0.0375148\pi\)
−0.993063 + 0.117583i \(0.962485\pi\)
\(12\) 0.443914 1.30741i 0.128147 0.377418i
\(13\) 0.150878 + 0.414534i 0.0418460 + 0.114971i 0.958856 0.283894i \(-0.0916264\pi\)
−0.917010 + 0.398865i \(0.869404\pi\)
\(14\) −5.02916 1.83046i −1.34410 0.489212i
\(15\) 0.699313 1.27446i 0.180562 0.329064i
\(16\) 4.65980 + 1.69603i 1.16495 + 0.424007i
\(17\) 0.0888182 0.244026i 0.0215416 0.0591850i −0.928456 0.371443i \(-0.878863\pi\)
0.949997 + 0.312258i \(0.101085\pi\)
\(18\) −4.63577 + 1.91940i −1.09266 + 0.452408i
\(19\) −4.35307 0.225372i −0.998662 0.0517039i
\(20\) −0.579421 0.334529i −0.129562 0.0748029i
\(21\) 2.00846 + 5.16587i 0.438282 + 1.12729i
\(22\) −0.838491 0.999275i −0.178767 0.213046i
\(23\) −5.41417 0.954665i −1.12893 0.199061i −0.422173 0.906515i \(-0.638733\pi\)
−0.706760 + 0.707454i \(0.749844\pi\)
\(24\) −1.26264 3.24758i −0.257735 0.662909i
\(25\) 3.29060 + 2.76114i 0.658120 + 0.552228i
\(26\) −0.638944 0.368895i −0.125307 0.0723462i
\(27\) 4.65978 + 2.29922i 0.896776 + 0.442485i
\(28\) 2.39708 0.872464i 0.453005 0.164880i
\(29\) −0.519224 + 2.94466i −0.0964174 + 0.546810i 0.897886 + 0.440227i \(0.145102\pi\)
−0.994304 + 0.106583i \(0.966009\pi\)
\(30\) 0.474148 + 2.38461i 0.0865672 + 0.435369i
\(31\) 6.02187i 1.08156i −0.841164 0.540780i \(-0.818129\pi\)
0.841164 0.540780i \(-0.181871\pi\)
\(32\) −4.01259 + 1.46046i −0.709332 + 0.258176i
\(33\) −0.205606 + 1.33519i −0.0357914 + 0.232427i
\(34\) 0.148546 + 0.408126i 0.0254754 + 0.0699931i
\(35\) 2.64497 0.466380i 0.447082 0.0788326i
\(36\) 1.10457 2.12111i 0.184095 0.353518i
\(37\) 11.1767i 1.83743i −0.394920 0.918715i \(-0.629228\pi\)
0.394920 0.918715i \(-0.370772\pi\)
\(38\) 5.81938 4.39100i 0.944028 0.712313i
\(39\) 0.149008 + 0.749402i 0.0238604 + 0.120000i
\(40\) −1.66279 + 0.293194i −0.262910 + 0.0463581i
\(41\) 6.93325 5.81769i 1.08279 0.908570i 0.0866423 0.996239i \(-0.472386\pi\)
0.996150 + 0.0876691i \(0.0279418\pi\)
\(42\) −8.12675 4.45926i −1.25399 0.688079i
\(43\) −1.51015 8.56448i −0.230296 1.30607i −0.852298 0.523056i \(-0.824792\pi\)
0.622003 0.783015i \(-0.286319\pi\)
\(44\) 0.612307 + 0.107966i 0.0923087 + 0.0162765i
\(45\) 1.53310 1.99737i 0.228541 0.297750i
\(46\) 7.96287 4.59737i 1.17406 0.677845i
\(47\) 0.169371 + 0.0298646i 0.0247052 + 0.00435620i 0.185987 0.982552i \(-0.440452\pi\)
−0.161282 + 0.986908i \(0.551563\pi\)
\(48\) 7.52990 + 4.13176i 1.08685 + 0.596368i
\(49\) −1.62002 + 2.80596i −0.231432 + 0.400852i
\(50\) −7.18422 −1.01600
\(51\) 0.216373 0.394328i 0.0302983 0.0552170i
\(52\) 0.346314 0.0610645i 0.0480251 0.00846813i
\(53\) −0.860313 0.721888i −0.118173 0.0991590i 0.581786 0.813342i \(-0.302354\pi\)
−0.699959 + 0.714183i \(0.746799\pi\)
\(54\) −8.44182 + 2.06374i −1.14879 + 0.280839i
\(55\) 0.615144 + 0.223894i 0.0829460 + 0.0301899i
\(56\) 3.21875 5.57504i 0.430124 0.744997i
\(57\) −7.39249 1.53332i −0.979159 0.203094i
\(58\) −2.50042 4.33085i −0.328321 0.568669i
\(59\) 0.264850 + 1.50204i 0.0344805 + 0.195549i 0.997182 0.0750159i \(-0.0239008\pi\)
−0.962702 + 0.270565i \(0.912790\pi\)
\(60\) −0.903710 0.725412i −0.116668 0.0936503i
\(61\) −3.82725 + 1.39301i −0.490029 + 0.178356i −0.575204 0.818010i \(-0.695077\pi\)
0.0851748 + 0.996366i \(0.472855\pi\)
\(62\) 6.47377 + 7.71514i 0.822170 + 0.979824i
\(63\) 2.07645 + 9.37277i 0.261609 + 1.18086i
\(64\) −1.38804 + 2.40415i −0.173505 + 0.300519i
\(65\) 0.370248 0.0459236
\(66\) −1.17197 1.93167i −0.144260 0.237772i
\(67\) −4.63066 + 5.51861i −0.565725 + 0.674205i −0.970748 0.240102i \(-0.922819\pi\)
0.405023 + 0.914307i \(0.367264\pi\)
\(68\) −0.179278 0.103506i −0.0217406 0.0125519i
\(69\) −9.01672 3.06150i −1.08549 0.368561i
\(70\) −2.88732 + 3.44098i −0.345101 + 0.411276i
\(71\) 7.53727 6.32452i 0.894509 0.750582i −0.0746001 0.997214i \(-0.523768\pi\)
0.969109 + 0.246631i \(0.0793236\pi\)
\(72\) −1.30538 5.89228i −0.153841 0.694412i
\(73\) 0.479455 + 2.71912i 0.0561159 + 0.318249i 0.999925 0.0122418i \(-0.00389678\pi\)
−0.943809 + 0.330491i \(0.892786\pi\)
\(74\) 12.0154 + 14.3194i 1.39676 + 1.66459i
\(75\) 4.90522 + 5.59416i 0.566406 + 0.645958i
\(76\) −0.779503 + 3.38617i −0.0894151 + 0.388421i
\(77\) −2.16149 + 1.24794i −0.246325 + 0.142216i
\(78\) −0.996547 0.799933i −0.112837 0.0905746i
\(79\) −1.20161 + 3.30139i −0.135191 + 0.371435i −0.988753 0.149557i \(-0.952215\pi\)
0.853562 + 0.520991i \(0.174438\pi\)
\(80\) 2.67527 3.18826i 0.299104 0.356458i
\(81\) 7.37086 + 5.16434i 0.818984 + 0.573816i
\(82\) −2.62852 + 14.9071i −0.290272 + 1.64621i
\(83\) −10.2281 + 5.90517i −1.12267 + 0.648176i −0.942082 0.335382i \(-0.891135\pi\)
−0.180592 + 0.983558i \(0.557801\pi\)
\(84\) 4.33348 0.861654i 0.472822 0.0940141i
\(85\) −0.166964 0.140099i −0.0181098 0.0151959i
\(86\) 11.1420 + 9.34923i 1.20147 + 1.00815i
\(87\) −1.66509 + 4.90402i −0.178516 + 0.525766i
\(88\) 1.35884 0.784529i 0.144853 0.0836311i
\(89\) 1.74018 9.86906i 0.184459 1.04612i −0.742190 0.670190i \(-0.766213\pi\)
0.926649 0.375928i \(-0.122676\pi\)
\(90\) 0.183072 + 4.20715i 0.0192975 + 0.443472i
\(91\) −0.907387 + 1.08138i −0.0951200 + 0.113360i
\(92\) −1.49892 + 4.11824i −0.156273 + 0.429356i
\(93\) 1.58743 10.3087i 0.164609 1.06896i
\(94\) −0.249101 + 0.143819i −0.0256928 + 0.0148338i
\(95\) −1.42733 + 3.36851i −0.146441 + 0.345602i
\(96\) −7.25404 + 1.44237i −0.740362 + 0.147211i
\(97\) −7.42282 8.84617i −0.753673 0.898193i 0.243757 0.969836i \(-0.421620\pi\)
−0.997430 + 0.0716436i \(0.977176\pi\)
\(98\) −0.940980 5.33656i −0.0950533 0.539074i
\(99\) −0.703942 + 2.23148i −0.0707488 + 0.224272i
\(100\) 2.62313 2.20107i 0.262313 0.220107i
\(101\) −12.2833 + 14.6387i −1.22224 + 1.45661i −0.373637 + 0.927575i \(0.621889\pi\)
−0.848602 + 0.529032i \(0.822555\pi\)
\(102\) 0.146705 + 0.737819i 0.0145260 + 0.0730550i
\(103\) 1.41055 + 0.814379i 0.138985 + 0.0802431i 0.567880 0.823111i \(-0.307764\pi\)
−0.428895 + 0.903354i \(0.641097\pi\)
\(104\) 0.570438 0.679821i 0.0559360 0.0666619i
\(105\) 4.65080 0.101141i 0.453871 0.00987031i
\(106\) 1.87828 0.182435
\(107\) −9.03967 + 15.6572i −0.873898 + 1.51364i −0.0159655 + 0.999873i \(0.505082\pi\)
−0.857932 + 0.513763i \(0.828251\pi\)
\(108\) 2.45003 3.33989i 0.235754 0.321381i
\(109\) 2.43728 + 2.90464i 0.233450 + 0.278214i 0.870033 0.492993i \(-0.164097\pi\)
−0.636583 + 0.771208i \(0.719653\pi\)
\(110\) −1.02881 + 0.374456i −0.0980932 + 0.0357030i
\(111\) 2.94628 19.1330i 0.279649 1.81603i
\(112\) 2.75551 + 15.6273i 0.260372 + 1.47664i
\(113\) −3.35007 5.80250i −0.315148 0.545853i 0.664321 0.747448i \(-0.268721\pi\)
−0.979469 + 0.201595i \(0.935388\pi\)
\(114\) 11.1196 5.98278i 1.04144 0.560338i
\(115\) −2.30711 + 3.99604i −0.215140 + 0.372633i
\(116\) 2.23983 + 0.815232i 0.207963 + 0.0756924i
\(117\) 0.0575331 + 1.32216i 0.00531894 + 0.122234i
\(118\) −1.95408 1.63967i −0.179887 0.150944i
\(119\) 0.818376 0.144302i 0.0750204 0.0132281i
\(120\) −2.92377 + 0.0635831i −0.266902 + 0.00580431i
\(121\) 10.3917 0.944697
\(122\) 3.40588 5.89916i 0.308354 0.534085i
\(123\) 13.4025 8.13147i 1.20846 0.733190i
\(124\) −4.72746 0.833579i −0.424538 0.0748576i
\(125\) 6.75655 3.90090i 0.604324 0.348907i
\(126\) −12.7365 9.77599i −1.13465 0.870914i
\(127\) −19.1529 3.37718i −1.69955 0.299676i −0.762010 0.647565i \(-0.775788\pi\)
−0.937536 + 0.347889i \(0.886899\pi\)
\(128\) −2.28923 12.9828i −0.202341 1.14753i
\(129\) −0.327496 15.0594i −0.0288344 1.32591i
\(130\) −0.474357 + 0.398032i −0.0416038 + 0.0349097i
\(131\) 12.3035 2.16944i 1.07496 0.189545i 0.391976 0.919976i \(-0.371792\pi\)
0.682987 + 0.730431i \(0.260681\pi\)
\(132\) 1.01973 + 0.346235i 0.0887561 + 0.0301359i
\(133\) −6.34036 12.4242i −0.549779 1.07731i
\(134\) 12.0485i 1.04083i
\(135\) 3.15099 3.01510i 0.271194 0.259498i
\(136\) −0.514480 + 0.0907167i −0.0441163 + 0.00777889i
\(137\) 4.97031 + 13.6558i 0.424642 + 1.16669i 0.949022 + 0.315210i \(0.102075\pi\)
−0.524380 + 0.851484i \(0.675703\pi\)
\(138\) 14.8433 5.77101i 1.26355 0.491261i
\(139\) 9.78293 3.56070i 0.829778 0.302014i 0.108010 0.994150i \(-0.465552\pi\)
0.721768 + 0.692135i \(0.243330\pi\)
\(140\) 2.14099i 0.180947i
\(141\) 0.282068 + 0.0957723i 0.0237544 + 0.00806548i
\(142\) −2.85752 + 16.2058i −0.239798 + 1.35996i
\(143\) −0.323320 + 0.117679i −0.0270373 + 0.00984079i
\(144\) 11.8010 + 9.05801i 0.983421 + 0.754834i
\(145\) 2.17337 + 1.25480i 0.180488 + 0.104205i
\(146\) −3.53745 2.96827i −0.292761 0.245656i
\(147\) −3.51296 + 4.37640i −0.289744 + 0.360959i
\(148\) −8.77422 1.54713i −0.721236 0.127173i
\(149\) −7.12610 8.49256i −0.583793 0.695737i 0.390607 0.920557i \(-0.372265\pi\)
−0.974400 + 0.224820i \(0.927821\pi\)
\(150\) −12.2985 1.89384i −1.00417 0.154631i
\(151\) −4.12164 2.37963i −0.335414 0.193652i 0.322828 0.946458i \(-0.395366\pi\)
−0.658242 + 0.752806i \(0.728700\pi\)
\(152\) 3.98593 + 7.81060i 0.323301 + 0.633523i
\(153\) 0.474353 0.618001i 0.0383491 0.0499625i
\(154\) 1.42769 3.92254i 0.115046 0.316088i
\(155\) −4.74937 1.72863i −0.381478 0.138847i
\(156\) 0.608943 0.0132427i 0.0487545 0.00106026i
\(157\) −2.68063 0.975668i −0.213937 0.0778668i 0.232828 0.972518i \(-0.425202\pi\)
−0.446766 + 0.894651i \(0.647424\pi\)
\(158\) −2.00965 5.52147i −0.159879 0.439265i
\(159\) −1.28245 1.46257i −0.101705 0.115989i
\(160\) 3.58391i 0.283333i
\(161\) −6.01705 16.5317i −0.474210 1.30288i
\(162\) −14.9953 + 1.30750i −1.17815 + 0.102727i
\(163\) 9.29688 + 16.1027i 0.728188 + 1.26126i 0.957648 + 0.287941i \(0.0929706\pi\)
−0.229460 + 0.973318i \(0.573696\pi\)
\(164\) −3.60743 6.24825i −0.281693 0.487907i
\(165\) 0.994028 + 0.545437i 0.0773849 + 0.0424622i
\(166\) 6.75573 18.5612i 0.524347 1.44063i
\(167\) −4.43378 + 25.1452i −0.343097 + 1.94580i −0.0188565 + 0.999822i \(0.506003\pi\)
−0.324240 + 0.945975i \(0.605109\pi\)
\(168\) 6.97974 8.69527i 0.538499 0.670855i
\(169\) 9.80950 8.23115i 0.754577 0.633165i
\(170\) 0.364525 0.0279578
\(171\) −12.2508 4.57359i −0.936843 0.349751i
\(172\) −6.93258 −0.528604
\(173\) 3.87445 3.25105i 0.294569 0.247173i −0.483510 0.875339i \(-0.660638\pi\)
0.778080 + 0.628166i \(0.216194\pi\)
\(174\) −3.13874 8.07301i −0.237947 0.612013i
\(175\) −2.38694 + 13.5370i −0.180436 + 1.02330i
\(176\) −1.32283 + 3.63446i −0.0997124 + 0.273958i
\(177\) 0.0574362 + 2.64111i 0.00431717 + 0.198518i
\(178\) 8.38017 + 14.5149i 0.628120 + 1.08794i
\(179\) 11.9053 + 20.6206i 0.889845 + 1.54126i 0.840058 + 0.542497i \(0.182521\pi\)
0.0497877 + 0.998760i \(0.484146\pi\)
\(180\) −1.35581 1.48004i −0.101056 0.110316i
\(181\) −2.03798 5.59931i −0.151482 0.416194i 0.840620 0.541625i \(-0.182191\pi\)
−0.992102 + 0.125431i \(0.959969\pi\)
\(182\) 2.36093i 0.175004i
\(183\) −6.91898 + 1.37574i −0.511466 + 0.101698i
\(184\) 3.78267 + 10.3928i 0.278862 + 0.766168i
\(185\) −8.81487 3.20835i −0.648082 0.235883i
\(186\) 9.04848 + 14.9139i 0.663467 + 1.09354i
\(187\) 0.190331 + 0.0692747i 0.0139184 + 0.00506587i
\(188\) 0.0468903 0.128830i 0.00341983 0.00939590i
\(189\) 1.08387 + 16.5924i 0.0788397 + 1.20692i
\(190\) −1.79262 5.85014i −0.130050 0.424414i
\(191\) 12.8102 + 7.39595i 0.926911 + 0.535152i 0.885833 0.464004i \(-0.153588\pi\)
0.0410778 + 0.999156i \(0.486921\pi\)
\(192\) −3.00991 + 3.74970i −0.217221 + 0.270612i
\(193\) 12.2129 + 14.5547i 0.879102 + 1.04767i 0.998496 + 0.0548265i \(0.0174606\pi\)
−0.119393 + 0.992847i \(0.538095\pi\)
\(194\) 19.0200 + 3.35375i 1.36556 + 0.240785i
\(195\) 0.633817 + 0.0976012i 0.0453886 + 0.00698937i
\(196\) 1.97857 + 1.66021i 0.141326 + 0.118587i
\(197\) −15.3913 8.88617i −1.09658 0.633113i −0.161263 0.986912i \(-0.551557\pi\)
−0.935322 + 0.353798i \(0.884890\pi\)
\(198\) −1.49706 3.61571i −0.106391 0.256958i
\(199\) −14.7880 + 5.38237i −1.04829 + 0.381546i −0.808017 0.589159i \(-0.799459\pi\)
−0.240273 + 0.970705i \(0.577237\pi\)
\(200\) 1.50058 8.51019i 0.106107 0.601761i
\(201\) −9.38186 + 8.22646i −0.661746 + 0.580250i
\(202\) 31.9601i 2.24870i
\(203\) −8.99127 + 3.27256i −0.631064 + 0.229688i
\(204\) −0.279615 0.224449i −0.0195770 0.0157145i
\(205\) −2.59808 7.13818i −0.181458 0.498552i
\(206\) −2.68267 + 0.473026i −0.186910 + 0.0329573i
\(207\) −14.6284 7.61780i −1.01675 0.529473i
\(208\) 2.18754i 0.151678i
\(209\) 0.175781 3.39522i 0.0121590 0.234852i
\(210\) −5.84981 + 5.12939i −0.403675 + 0.353962i
\(211\) −6.16204 + 1.08653i −0.424212 + 0.0748001i −0.381679 0.924295i \(-0.624654\pi\)
−0.0425335 + 0.999095i \(0.513543\pi\)
\(212\) −0.685807 + 0.575460i −0.0471014 + 0.0395228i
\(213\) 14.5701 8.83987i 0.998324 0.605698i
\(214\) −5.25063 29.7778i −0.358926 2.03557i
\(215\) −7.18819 1.26747i −0.490231 0.0864409i
\(216\) −0.681384 10.4310i −0.0463623 0.709736i
\(217\) 16.6883 9.63501i 1.13288 0.654067i
\(218\) −6.24524 1.10120i −0.422981 0.0745829i
\(219\) 0.103976 + 4.78118i 0.00702605 + 0.323082i
\(220\) 0.260919 0.451925i 0.0175912 0.0304688i
\(221\) 0.114558 0.00770598
\(222\) 16.7941 + 27.6804i 1.12715 + 1.85778i
\(223\) −18.0587 + 3.18423i −1.20930 + 0.213232i −0.741713 0.670717i \(-0.765987\pi\)
−0.467584 + 0.883949i \(0.654875\pi\)
\(224\) −10.4675 8.78330i −0.699391 0.586859i
\(225\) 6.92244 + 10.8696i 0.461496 + 0.724637i
\(226\) 10.5300 + 3.83261i 0.700446 + 0.254941i
\(227\) 10.4219 18.0512i 0.691725 1.19810i −0.279547 0.960132i \(-0.590184\pi\)
0.971272 0.237971i \(-0.0764824\pi\)
\(228\) −2.22704 + 5.59121i −0.147489 + 0.370287i
\(229\) −2.78708 4.82737i −0.184176 0.319002i 0.759123 0.650947i \(-0.225628\pi\)
−0.943298 + 0.331946i \(0.892295\pi\)
\(230\) −1.34007 7.59992i −0.0883617 0.501124i
\(231\) −4.02917 + 1.56652i −0.265100 + 0.103070i
\(232\) 5.65245 2.05732i 0.371102 0.135070i
\(233\) 8.33802 + 9.93686i 0.546242 + 0.650986i 0.966575 0.256384i \(-0.0825312\pi\)
−0.420333 + 0.907370i \(0.638087\pi\)
\(234\) −1.49509 1.63208i −0.0977372 0.106693i
\(235\) 0.0721730 0.125007i 0.00470805 0.00815458i
\(236\) 1.21583 0.0791441
\(237\) −2.92728 + 5.33480i −0.190147 + 0.346532i
\(238\) −0.893362 + 1.06467i −0.0579080 + 0.0690121i
\(239\) −1.34830 0.778443i −0.0872145 0.0503533i 0.455759 0.890103i \(-0.349368\pi\)
−0.542973 + 0.839750i \(0.682701\pi\)
\(240\) 5.42018 4.75267i 0.349871 0.306784i
\(241\) 14.9283 17.7908i 0.961615 1.14601i −0.0276118 0.999619i \(-0.508790\pi\)
0.989227 0.146390i \(-0.0467653\pi\)
\(242\) −13.3137 + 11.1715i −0.855835 + 0.718131i
\(243\) 11.2566 + 10.7837i 0.722111 + 0.691777i
\(244\) 0.563789 + 3.19740i 0.0360929 + 0.204693i
\(245\) 1.74798 + 2.08317i 0.111675 + 0.133089i
\(246\) −8.42937 + 24.8261i −0.537437 + 1.58286i
\(247\) −0.563357 1.83850i −0.0358456 0.116981i
\(248\) −10.4913 + 6.05715i −0.666197 + 0.384629i
\(249\) −19.0658 + 7.41268i −1.20825 + 0.469759i
\(250\) −4.46277 + 12.2614i −0.282251 + 0.775477i
\(251\) −1.22580 + 1.46086i −0.0773721 + 0.0922085i −0.803342 0.595518i \(-0.796947\pi\)
0.725970 + 0.687727i \(0.241391\pi\)
\(252\) 7.64551 0.332690i 0.481622 0.0209575i
\(253\) 0.744600 4.22284i 0.0468126 0.265488i
\(254\) 28.1691 16.2634i 1.76749 1.02046i
\(255\) −0.248889 0.283846i −0.0155861 0.0177751i
\(256\) 12.6369 + 10.6036i 0.789804 + 0.662724i
\(257\) −5.80431 4.87040i −0.362063 0.303807i 0.443549 0.896250i \(-0.353719\pi\)
−0.805612 + 0.592443i \(0.798164\pi\)
\(258\) 16.6091 + 18.9418i 1.03404 + 1.17927i
\(259\) 30.9737 17.8827i 1.92461 1.11118i
\(260\) 0.0512516 0.290662i 0.00317849 0.0180261i
\(261\) −4.14317 + 7.95612i −0.256456 + 0.492472i
\(262\) −13.4309 + 16.0063i −0.829761 + 0.988870i
\(263\) −0.709409 + 1.94909i −0.0437440 + 0.120186i −0.959641 0.281227i \(-0.909259\pi\)
0.915897 + 0.401413i \(0.131481\pi\)
\(264\) 2.53298 0.984809i 0.155894 0.0606108i
\(265\) −0.816304 + 0.471293i −0.0501451 + 0.0289513i
\(266\) 21.4797 + 9.10157i 1.31701 + 0.558053i
\(267\) 5.58056 16.4358i 0.341525 1.00586i
\(268\) 3.69137 + 4.39921i 0.225486 + 0.268724i
\(269\) 1.35352 + 7.67620i 0.0825257 + 0.468026i 0.997863 + 0.0653387i \(0.0208128\pi\)
−0.915337 + 0.402688i \(0.868076\pi\)
\(270\) −0.795653 + 7.25036i −0.0484219 + 0.441243i
\(271\) 3.03110 2.54340i 0.184126 0.154500i −0.546066 0.837742i \(-0.683875\pi\)
0.730192 + 0.683242i \(0.239431\pi\)
\(272\) 0.827750 0.986474i 0.0501897 0.0598138i
\(273\) −1.83839 + 1.61199i −0.111265 + 0.0975621i
\(274\) −21.0485 12.1523i −1.27158 0.734150i
\(275\) −2.15358 + 2.56654i −0.129866 + 0.154768i
\(276\) −3.65157 + 6.65477i −0.219798 + 0.400570i
\(277\) −3.07137 −0.184541 −0.0922704 0.995734i \(-0.529412\pi\)
−0.0922704 + 0.995734i \(0.529412\pi\)
\(278\) −8.70586 + 15.0790i −0.522143 + 0.904378i
\(279\) 5.43495 17.2287i 0.325382 1.03145i
\(280\) −3.47299 4.13895i −0.207551 0.247350i
\(281\) −13.1737 + 4.79485i −0.785880 + 0.286037i −0.703622 0.710574i \(-0.748435\pi\)
−0.0822576 + 0.996611i \(0.526213\pi\)
\(282\) −0.464342 + 0.180534i −0.0276511 + 0.0107506i
\(283\) 0.318679 + 1.80732i 0.0189435 + 0.107434i 0.992813 0.119673i \(-0.0381845\pi\)
−0.973870 + 0.227107i \(0.927073\pi\)
\(284\) −3.92171 6.79260i −0.232710 0.403066i
\(285\) −3.33139 + 5.39020i −0.197334 + 0.319288i
\(286\) 0.287723 0.498351i 0.0170134 0.0294681i
\(287\) 27.2157 + 9.90571i 1.60649 + 0.584716i
\(288\) −12.7982 + 0.556908i −0.754142 + 0.0328161i
\(289\) 12.9711 + 10.8840i 0.763006 + 0.640238i
\(290\) −4.13345 + 0.728839i −0.242725 + 0.0427989i
\(291\) −10.3750 17.1003i −0.608192 1.00243i
\(292\) 2.20101 0.128804
\(293\) 8.42099 14.5856i 0.491959 0.852098i −0.507998 0.861358i \(-0.669614\pi\)
0.999957 + 0.00925986i \(0.00294755\pi\)
\(294\) −0.204064 9.38357i −0.0119012 0.547261i
\(295\) 1.26066 + 0.222289i 0.0733987 + 0.0129422i
\(296\) −19.4719 + 11.2421i −1.13178 + 0.653435i
\(297\) −1.79330 + 3.63445i −0.104058 + 0.210892i
\(298\) 18.2597 + 3.21968i 1.05776 + 0.186511i
\(299\) −0.421138 2.38839i −0.0243551 0.138124i
\(300\) 5.07069 3.07646i 0.292757 0.177620i
\(301\) 21.3184 17.8883i 1.22877 1.03106i
\(302\) 7.83880 1.38219i 0.451072 0.0795362i
\(303\) −24.8865 + 21.8216i −1.42969 + 1.25362i
\(304\) −19.9022 8.43312i −1.14147 0.483672i
\(305\) 3.41837i 0.195735i
\(306\) 0.0566439 + 1.30173i 0.00323812 + 0.0744147i
\(307\) −19.9765 + 3.52240i −1.14012 + 0.201034i −0.711659 0.702525i \(-0.752056\pi\)
−0.428463 + 0.903559i \(0.640945\pi\)
\(308\) 0.680488 + 1.86962i 0.0387744 + 0.106532i
\(309\) 2.20000 + 1.76595i 0.125153 + 0.100461i
\(310\) 7.94318 2.89108i 0.451142 0.164202i
\(311\) 25.9637i 1.47226i −0.676838 0.736132i \(-0.736650\pi\)
0.676838 0.736132i \(-0.263350\pi\)
\(312\) 1.15572 1.01339i 0.0654300 0.0573721i
\(313\) −4.47146 + 25.3589i −0.252742 + 1.43337i 0.549062 + 0.835782i \(0.314985\pi\)
−0.801804 + 0.597588i \(0.796126\pi\)
\(314\) 4.48327 1.63178i 0.253005 0.0920864i
\(315\) 7.98824 + 1.05286i 0.450086 + 0.0593219i
\(316\) 2.42542 + 1.40031i 0.136440 + 0.0787738i
\(317\) −18.3982 15.4379i −1.03335 0.867080i −0.0421005 0.999113i \(-0.513405\pi\)
−0.991245 + 0.132033i \(0.957849\pi\)
\(318\) 3.21538 + 0.495135i 0.180310 + 0.0277658i
\(319\) −2.29672 0.404974i −0.128592 0.0226742i
\(320\) 1.49767 + 1.78486i 0.0837226 + 0.0997767i
\(321\) −19.6022 + 24.4201i −1.09409 + 1.36300i
\(322\) 25.4813 + 14.7116i 1.42001 + 0.819846i
\(323\) −0.441628 + 1.04224i −0.0245729 + 0.0579921i
\(324\) 5.07457 5.07161i 0.281921 0.281756i
\(325\) −0.648107 + 1.78066i −0.0359505 + 0.0987732i
\(326\) −29.2221 10.6360i −1.61846 0.589073i
\(327\) 3.40663 + 5.61487i 0.188387 + 0.310503i
\(328\) −17.1094 6.22732i −0.944710 0.343846i
\(329\) 0.188230 + 0.517158i 0.0103775 + 0.0285118i
\(330\) −1.85990 + 0.369816i −0.102384 + 0.0203577i
\(331\) 15.9956i 0.879198i 0.898194 + 0.439599i \(0.144879\pi\)
−0.898194 + 0.439599i \(0.855121\pi\)
\(332\) 3.22002 + 8.84694i 0.176722 + 0.485539i
\(333\) 10.0873 31.9766i 0.552782 1.75231i
\(334\) −21.3517 36.9823i −1.16831 2.02358i
\(335\) 3.02318 + 5.23630i 0.165174 + 0.286090i
\(336\) 0.597570 + 27.4783i 0.0326001 + 1.49907i
\(337\) 7.65615 21.0351i 0.417057 1.14585i −0.536305 0.844024i \(-0.680180\pi\)
0.953362 0.301830i \(-0.0975975\pi\)
\(338\) −3.71896 + 21.0913i −0.202285 + 1.14721i
\(339\) −4.20530 10.8163i −0.228401 0.587458i
\(340\) −0.133097 + 0.111682i −0.00721819 + 0.00605678i
\(341\) 4.69682 0.254347
\(342\) 20.6124 7.31052i 1.11459 0.395308i
\(343\) 12.0319 0.649660
\(344\) −13.4020 + 11.2456i −0.722589 + 0.606324i
\(345\) −5.00288 + 6.23253i −0.269346 + 0.335548i
\(346\) −1.46888 + 8.33041i −0.0789672 + 0.447845i
\(347\) −6.33828 + 17.4143i −0.340257 + 0.934848i 0.645063 + 0.764129i \(0.276831\pi\)
−0.985320 + 0.170718i \(0.945391\pi\)
\(348\) 3.61940 + 1.98602i 0.194020 + 0.106462i
\(349\) 16.7886 + 29.0788i 0.898675 + 1.55655i 0.829189 + 0.558969i \(0.188803\pi\)
0.0694867 + 0.997583i \(0.477864\pi\)
\(350\) −11.4948 19.9095i −0.614422 1.06421i
\(351\) −0.250046 + 2.27854i −0.0133465 + 0.121619i
\(352\) −1.13910 3.12966i −0.0607144 0.166811i
\(353\) 22.2320i 1.18329i −0.806199 0.591645i \(-0.798479\pi\)
0.806199 0.591645i \(-0.201521\pi\)
\(354\) −2.91290 3.32202i −0.154819 0.176563i
\(355\) −2.82443 7.76005i −0.149905 0.411861i
\(356\) −7.50681 2.73225i −0.397860 0.144809i
\(357\) 1.43899 0.0312937i 0.0761597 0.00165624i
\(358\) −37.4210 13.6201i −1.97776 0.719846i
\(359\) 1.40113 3.84956i 0.0739486 0.203172i −0.897211 0.441602i \(-0.854410\pi\)
0.971160 + 0.238430i \(0.0766326\pi\)
\(360\) −5.02188 0.661890i −0.264677 0.0348847i
\(361\) 18.8984 + 1.96212i 0.994653 + 0.103269i
\(362\) 8.63054 + 4.98285i 0.453611 + 0.261893i
\(363\) 17.7892 + 2.73935i 0.933691 + 0.143779i
\(364\) 0.723332 + 0.862033i 0.0379129 + 0.0451828i
\(365\) 2.28217 + 0.402407i 0.119454 + 0.0210630i
\(366\) 7.38552 9.20079i 0.386047 0.480933i
\(367\) 1.15739 + 0.971168i 0.0604154 + 0.0506946i 0.672495 0.740101i \(-0.265222\pi\)
−0.612080 + 0.790796i \(0.709667\pi\)
\(368\) −23.6098 13.6311i −1.23075 0.710572i
\(369\) 25.0868 10.3870i 1.30597 0.540726i
\(370\) 14.7426 5.36588i 0.766432 0.278959i
\(371\) 0.624056 3.53920i 0.0323994 0.183746i
\(372\) −7.87307 2.67319i −0.408200 0.138598i
\(373\) 25.6009i 1.32556i 0.748813 + 0.662781i \(0.230624\pi\)
−0.748813 + 0.662781i \(0.769376\pi\)
\(374\) −0.318322 + 0.115860i −0.0164601 + 0.00599097i
\(375\) 12.5947 4.89674i 0.650386 0.252867i
\(376\) −0.118333 0.325117i −0.00610255 0.0167666i
\(377\) −1.29900 + 0.229049i −0.0669020 + 0.0117966i
\(378\) −19.2262 20.0927i −0.988886 1.03346i
\(379\) 7.24022i 0.371905i −0.982559 0.185953i \(-0.940463\pi\)
0.982559 0.185953i \(-0.0595371\pi\)
\(380\) 2.44687 + 1.58681i 0.125522 + 0.0814018i
\(381\) −31.8971 10.8302i −1.63414 0.554848i
\(382\) −24.3632 + 4.29589i −1.24653 + 0.219797i
\(383\) 16.2182 13.6087i 0.828712 0.695372i −0.126283 0.991994i \(-0.540305\pi\)
0.954995 + 0.296622i \(0.0958603\pi\)
\(384\) −0.496449 22.8284i −0.0253343 1.16496i
\(385\) 0.363758 + 2.06297i 0.0185388 + 0.105139i
\(386\) −31.2940 5.51797i −1.59282 0.280857i
\(387\) 3.40919 25.8661i 0.173299 1.31485i
\(388\) −7.97218 + 4.60274i −0.404726 + 0.233669i
\(389\) −18.6075 3.28100i −0.943438 0.166354i −0.319287 0.947658i \(-0.603444\pi\)
−0.624150 + 0.781304i \(0.714555\pi\)
\(390\) −0.916964 + 0.556336i −0.0464323 + 0.0281711i
\(391\) −0.713840 + 1.23641i −0.0361004 + 0.0625278i
\(392\) 6.51806 0.329212
\(393\) 21.6339 0.470472i 1.09129 0.0237322i
\(394\) 29.2722 5.16147i 1.47471 0.260031i
\(395\) 2.25883 + 1.89538i 0.113654 + 0.0953669i
\(396\) 1.65438 + 0.861522i 0.0831356 + 0.0432931i
\(397\) −28.9900 10.5515i −1.45496 0.529564i −0.510991 0.859586i \(-0.670721\pi\)
−0.943973 + 0.330022i \(0.892944\pi\)
\(398\) 13.1598 22.7935i 0.659643 1.14254i
\(399\) −7.57873 22.9400i −0.379411 1.14844i
\(400\) 10.6506 + 18.4473i 0.532528 + 0.922365i
\(401\) −0.467484 2.65123i −0.0233450 0.132396i 0.970908 0.239454i \(-0.0769683\pi\)
−0.994253 + 0.107057i \(0.965857\pi\)
\(402\) 3.17612 20.6255i 0.158410 1.02871i
\(403\) 2.49627 0.908567i 0.124348 0.0452589i
\(404\) 9.79178 + 11.6694i 0.487159 + 0.580574i
\(405\) 6.18891 4.33083i 0.307530 0.215201i
\(406\) 8.00136 13.8588i 0.397101 0.687799i
\(407\) 8.71735 0.432103
\(408\) −0.904638 + 0.0196731i −0.0447863 + 0.000973965i
\(409\) −10.2383 + 12.2015i −0.506250 + 0.603325i −0.957273 0.289187i \(-0.906615\pi\)
0.451023 + 0.892513i \(0.351059\pi\)
\(410\) 11.0025 + 6.35229i 0.543374 + 0.313717i
\(411\) 4.90872 + 24.6872i 0.242129 + 1.21773i
\(412\) 0.834582 0.994616i 0.0411169 0.0490012i
\(413\) −3.73882 + 3.13724i −0.183975 + 0.154374i
\(414\) 26.9312 5.96638i 1.32360 0.293231i
\(415\) 1.72128 + 9.76185i 0.0844942 + 0.479190i
\(416\) −1.21082 1.44300i −0.0593654 0.0707490i
\(417\) 17.6858 3.51658i 0.866076 0.172207i
\(418\) 3.42480 + 4.53889i 0.167513 + 0.222004i
\(419\) 0.375319 0.216691i 0.0183355 0.0105860i −0.490804 0.871270i \(-0.663297\pi\)
0.509140 + 0.860684i \(0.329964\pi\)
\(420\) 0.564387 3.66510i 0.0275393 0.178839i
\(421\) −6.14272 + 16.8770i −0.299378 + 0.822535i 0.695226 + 0.718791i \(0.255304\pi\)
−0.994604 + 0.103743i \(0.966918\pi\)
\(422\) 6.72666 8.01652i 0.327449 0.390238i
\(423\) 0.457619 + 0.238306i 0.0222502 + 0.0115868i
\(424\) −0.392319 + 2.22495i −0.0190527 + 0.108053i
\(425\) 0.966055 0.557752i 0.0468606 0.0270550i
\(426\) −9.16372 + 26.9890i −0.443984 + 1.30762i
\(427\) −9.98403 8.37760i −0.483161 0.405420i
\(428\) 11.0403 + 9.26393i 0.533654 + 0.447789i
\(429\) −0.584504 + 0.116221i −0.0282201 + 0.00561118i
\(430\) 10.5720 6.10375i 0.509827 0.294349i
\(431\) −0.549611 + 3.11700i −0.0264738 + 0.150141i −0.995179 0.0980727i \(-0.968732\pi\)
0.968705 + 0.248213i \(0.0798434\pi\)
\(432\) 17.8141 + 18.6170i 0.857082 + 0.895713i
\(433\) 3.90711 4.65631i 0.187764 0.223768i −0.663948 0.747779i \(-0.731120\pi\)
0.851712 + 0.524011i \(0.175565\pi\)
\(434\) −11.0228 + 30.2849i −0.529112 + 1.45372i
\(435\) 3.38975 + 2.72097i 0.162526 + 0.130461i
\(436\) 2.61767 1.51131i 0.125364 0.0723787i
\(437\) 23.3531 + 5.37592i 1.11713 + 0.257165i
\(438\) −5.27319 6.01381i −0.251963 0.287351i
\(439\) 16.8473 + 20.0778i 0.804077 + 0.958262i 0.999749 0.0224073i \(-0.00713308\pi\)
−0.195672 + 0.980669i \(0.562689\pi\)
\(440\) −0.228680 1.29691i −0.0109019 0.0618277i
\(441\) −7.16740 + 6.56579i −0.341305 + 0.312656i
\(442\) −0.146770 + 0.123154i −0.00698113 + 0.00585786i
\(443\) 16.4675 19.6252i 0.782396 0.932423i −0.216643 0.976251i \(-0.569511\pi\)
0.999039 + 0.0438279i \(0.0139553\pi\)
\(444\) −14.6125 4.96147i −0.693479 0.235461i
\(445\) −7.28406 4.20545i −0.345297 0.199358i
\(446\) 19.7133 23.4934i 0.933454 1.11245i
\(447\) −9.96025 16.4167i −0.471104 0.776483i
\(448\) −8.88347 −0.419704
\(449\) 0.803181 1.39115i 0.0379044 0.0656524i −0.846451 0.532467i \(-0.821265\pi\)
0.884355 + 0.466814i \(0.154598\pi\)
\(450\) −20.5542 6.48401i −0.968934 0.305659i
\(451\) 4.53757 + 5.40766i 0.213666 + 0.254637i
\(452\) −5.01898 + 1.82676i −0.236073 + 0.0859235i
\(453\) −6.42843 5.16013i −0.302034 0.242444i
\(454\) 6.05348 + 34.3310i 0.284104 + 1.61123i
\(455\) 0.592398 + 1.02606i 0.0277720 + 0.0481026i
\(456\) 4.76445 + 14.4215i 0.223116 + 0.675348i
\(457\) −11.6118 + 20.1122i −0.543175 + 0.940807i 0.455544 + 0.890213i \(0.349445\pi\)
−0.998719 + 0.0505939i \(0.983889\pi\)
\(458\) 8.76041 + 3.18853i 0.409347 + 0.148990i
\(459\) 0.974943 0.932896i 0.0455065 0.0435438i
\(460\) 2.81772 + 2.36435i 0.131377 + 0.110238i
\(461\) −19.0370 + 3.35674i −0.886642 + 0.156339i −0.598380 0.801213i \(-0.704189\pi\)
−0.288262 + 0.957551i \(0.593078\pi\)
\(462\) 3.47805 6.33854i 0.161813 0.294896i
\(463\) −19.9589 −0.927567 −0.463784 0.885949i \(-0.653508\pi\)
−0.463784 + 0.885949i \(0.653508\pi\)
\(464\) −7.41371 + 12.8409i −0.344173 + 0.596125i
\(465\) −7.67463 4.21117i −0.355902 0.195289i
\(466\) −21.3651 3.76725i −0.989720 0.174514i
\(467\) 10.8432 6.26031i 0.501762 0.289692i −0.227679 0.973736i \(-0.573114\pi\)
0.729441 + 0.684044i \(0.239780\pi\)
\(468\) 1.04592 + 0.137854i 0.0483479 + 0.00637231i
\(469\) −22.7027 4.00310i −1.04831 0.184846i
\(470\) 0.0419212 + 0.237747i 0.00193368 + 0.0109665i
\(471\) −4.33169 2.37686i −0.199594 0.109520i
\(472\) 2.35044 1.97226i 0.108188 0.0907805i
\(473\) 6.67996 1.17786i 0.307145 0.0541579i
\(474\) −1.98475 9.98182i −0.0911626 0.458480i
\(475\) −13.7019 12.7610i −0.628687 0.585517i
\(476\) 0.662440i 0.0303629i
\(477\) −1.80984 2.84180i −0.0828670 0.130117i
\(478\) 2.56429 0.452153i 0.117288 0.0206810i
\(479\) 9.18108 + 25.2248i 0.419494 + 1.15255i 0.951993 + 0.306121i \(0.0990311\pi\)
−0.532498 + 0.846431i \(0.678747\pi\)
\(480\) −0.944757 + 6.13520i −0.0431221 + 0.280033i
\(481\) 4.63310 1.68631i 0.211251 0.0768891i
\(482\) 38.8419i 1.76920i
\(483\) −5.94249 29.8863i −0.270393 1.35987i
\(484\) 1.43847 8.15796i 0.0653849 0.370816i
\(485\) −9.10764 + 3.31491i −0.413557 + 0.150522i
\(486\) −26.0148 1.71465i −1.18006 0.0777781i
\(487\) 6.50890 + 3.75791i 0.294946 + 0.170287i 0.640170 0.768233i \(-0.278864\pi\)
−0.345224 + 0.938520i \(0.612197\pi\)
\(488\) 6.27656 + 5.26666i 0.284127 + 0.238410i
\(489\) 11.6702 + 30.0165i 0.527747 + 1.35739i
\(490\) −4.47899 0.789766i −0.202340 0.0356780i
\(491\) 4.27476 + 5.09446i 0.192917 + 0.229910i 0.853829 0.520554i \(-0.174275\pi\)
−0.660911 + 0.750464i \(0.729830\pi\)
\(492\) −4.52836 11.6472i −0.204154 0.525095i
\(493\) 0.672458 + 0.388244i 0.0302860 + 0.0174856i
\(494\) 2.69823 + 1.74982i 0.121399 + 0.0787283i
\(495\) 1.55787 + 1.19575i 0.0700209 + 0.0537452i
\(496\) 10.2133 28.0607i 0.458589 1.25996i
\(497\) 29.5867 + 10.7687i 1.32715 + 0.483042i
\(498\) 16.4579 29.9936i 0.737496 1.34404i
\(499\) −36.2660 13.1998i −1.62349 0.590902i −0.639447 0.768835i \(-0.720837\pi\)
−0.984043 + 0.177933i \(0.943059\pi\)
\(500\) −2.12712 5.84421i −0.0951276 0.261361i
\(501\) −14.2186 + 41.8767i −0.635241 + 1.87091i
\(502\) 3.18942i 0.142351i
\(503\) −4.70303 12.9215i −0.209698 0.576140i 0.789600 0.613622i \(-0.210288\pi\)
−0.999297 + 0.0374828i \(0.988066\pi\)
\(504\) 14.2406 13.0453i 0.634326 0.581082i
\(505\) 8.01932 + 13.8899i 0.356855 + 0.618091i
\(506\) 3.58576 + 6.21072i 0.159407 + 0.276100i
\(507\) 18.9624 11.5048i 0.842152 0.510946i
\(508\) −5.30249 + 14.5685i −0.235260 + 0.646372i
\(509\) 1.42928 8.10587i 0.0633519 0.359286i −0.936608 0.350378i \(-0.886053\pi\)
0.999960 0.00890848i \(-0.00283570\pi\)
\(510\) 0.624021 + 0.0960927i 0.0276321 + 0.00425505i
\(511\) −6.76834 + 5.67931i −0.299414 + 0.251238i
\(512\) −1.22324 −0.0540599
\(513\) −19.7662 11.0589i −0.872698 0.488260i
\(514\) 12.6723 0.558951
\(515\) 1.04720 0.878704i 0.0461451 0.0387203i
\(516\) −11.8677 1.82750i −0.522446 0.0804512i
\(517\) −0.0232932 + 0.132102i −0.00102443 + 0.00580985i
\(518\) −20.4585 + 56.2092i −0.898893 + 2.46969i
\(519\) 7.48958 4.54404i 0.328756 0.199461i
\(520\) −0.372417 0.645045i −0.0163315 0.0282871i
\(521\) 15.2031 + 26.3325i 0.666059 + 1.15365i 0.978997 + 0.203875i \(0.0653535\pi\)
−0.312938 + 0.949774i \(0.601313\pi\)
\(522\) −3.24500 14.6474i −0.142030 0.641098i
\(523\) 4.91167 + 13.4947i 0.214772 + 0.590082i 0.999559 0.0296833i \(-0.00944989\pi\)
−0.784787 + 0.619766i \(0.787228\pi\)
\(524\) 9.95916i 0.435068i
\(525\) −7.65465 + 22.5445i −0.334076 + 0.983921i
\(526\) −1.18647 3.25979i −0.0517324 0.142134i
\(527\) −1.46949 0.534852i −0.0640121 0.0232985i
\(528\) −3.22261 + 5.87302i −0.140246 + 0.255590i
\(529\) 6.78894 + 2.47097i 0.295171 + 0.107434i
\(530\) 0.539177 1.48138i 0.0234203 0.0643469i
\(531\) −0.597902 + 4.53639i −0.0259468 + 0.196863i
\(532\) −10.6313 + 3.25766i −0.460924 + 0.141238i
\(533\) 3.45770 + 1.99630i 0.149770 + 0.0864696i
\(534\) 10.5195 + 27.0567i 0.455224 + 1.17086i
\(535\) 9.75368 + 11.6240i 0.421688 + 0.502549i
\(536\) 14.2723 + 2.51659i 0.616469 + 0.108700i
\(537\) 14.9446 + 38.4382i 0.644906 + 1.65873i
\(538\) −9.98637 8.37956i −0.430543 0.361268i
\(539\) −2.18854 1.26355i −0.0942671 0.0544251i
\(540\) −1.93082 2.89105i −0.0830893 0.124411i
\(541\) 14.4424 5.25662i 0.620929 0.226000i −0.0123492 0.999924i \(-0.503931\pi\)
0.633279 + 0.773924i \(0.281709\pi\)
\(542\) −1.14915 + 6.51713i −0.0493601 + 0.279935i
\(543\) −2.01273 10.1225i −0.0863745 0.434400i
\(544\) 1.10889i 0.0475434i
\(545\) 2.99049 1.08845i 0.128099 0.0466241i
\(546\) 0.622367 4.04162i 0.0266348 0.172965i
\(547\) −10.8609 29.8401i −0.464379 1.27587i −0.922161 0.386807i \(-0.873578\pi\)
0.457782 0.889065i \(-0.348644\pi\)
\(548\) 11.4085 2.01162i 0.487346 0.0859323i
\(549\) −12.2071 + 0.531184i −0.520985 + 0.0226704i
\(550\) 5.60340i 0.238930i
\(551\) 2.92386 12.7013i 0.124561 0.541094i
\(552\) 3.73580 + 18.7883i 0.159006 + 0.799684i
\(553\) −11.0717 + 1.95223i −0.470815 + 0.0830174i
\(554\) 3.93500 3.30186i 0.167182 0.140282i
\(555\) −14.2442 7.81599i −0.604632 0.331770i
\(556\) −1.44111 8.17297i −0.0611169 0.346611i
\(557\) 30.6193 + 5.39901i 1.29738 + 0.228763i 0.779345 0.626595i \(-0.215552\pi\)
0.518037 + 0.855358i \(0.326663\pi\)
\(558\) 11.5584 + 27.9160i 0.489306 + 1.18178i
\(559\) 3.32242 1.91820i 0.140523 0.0811312i
\(560\) 13.1160 + 2.31271i 0.554253 + 0.0977298i
\(561\) 0.307560 + 0.168763i 0.0129852 + 0.00712516i
\(562\) 11.7234 20.3055i 0.494520 0.856534i
\(563\) 3.97217 0.167407 0.0837035 0.996491i \(-0.473325\pi\)
0.0837035 + 0.996491i \(0.473325\pi\)
\(564\) 0.114231 0.208180i 0.00481000 0.00876596i
\(565\) −5.53802 + 0.976502i −0.232986 + 0.0410817i
\(566\) −2.35123 1.97292i −0.0988297 0.0829280i
\(567\) −2.51848 + 28.6897i −0.105766 + 1.20486i
\(568\) −18.6000 6.76984i −0.780438 0.284056i
\(569\) −16.6420 + 28.8248i −0.697669 + 1.20840i 0.271603 + 0.962409i \(0.412446\pi\)
−0.969272 + 0.245990i \(0.920887\pi\)
\(570\) −1.52657 10.4872i −0.0639411 0.439262i
\(571\) −11.6552 20.1875i −0.487756 0.844819i 0.512144 0.858899i \(-0.328851\pi\)
−0.999901 + 0.0140804i \(0.995518\pi\)
\(572\) 0.0476279 + 0.270111i 0.00199142 + 0.0112939i
\(573\) 19.9797 + 16.0378i 0.834665 + 0.669990i
\(574\) −45.5175 + 16.5670i −1.89986 + 0.691494i
\(575\) −15.1799 18.0907i −0.633046 0.754435i
\(576\) −6.14104 + 5.62557i −0.255877 + 0.234399i
\(577\) 1.37276 2.37769i 0.0571486 0.0989843i −0.836036 0.548675i \(-0.815132\pi\)
0.893184 + 0.449691i \(0.148466\pi\)
\(578\) −28.3192 −1.17792
\(579\) 17.0701 + 28.1353i 0.709410 + 1.16926i
\(580\) 1.28592 1.53250i 0.0533951 0.0636338i
\(581\) −32.7298 18.8966i −1.35786 0.783962i
\(582\) 31.6758 + 10.7551i 1.31300 + 0.445812i
\(583\) 0.563044 0.671010i 0.0233189 0.0277904i
\(584\) 4.25498 3.57036i 0.176073 0.147742i
\(585\) 1.05929 + 0.334162i 0.0437961 + 0.0138159i
\(586\) 4.89127 + 27.7398i 0.202057 + 1.14592i
\(587\) 12.1977 + 14.5366i 0.503452 + 0.599991i 0.956586 0.291452i \(-0.0941383\pi\)
−0.453133 + 0.891443i \(0.649694\pi\)
\(588\) 2.94940 + 3.36365i 0.121631 + 0.138714i
\(589\) −1.35716 + 26.2136i −0.0559208 + 1.08011i
\(590\) −1.85412 + 1.07047i −0.0763328 + 0.0440707i
\(591\) −24.0055 19.2693i −0.987453 0.792633i
\(592\) 18.9559 52.0810i 0.779084 2.14051i
\(593\) 24.3015 28.9613i 0.997941 1.18930i 0.0160465 0.999871i \(-0.494892\pi\)
0.981895 0.189429i \(-0.0606635\pi\)
\(594\) −1.60963 6.58428i −0.0660441 0.270156i
\(595\) 0.121113 0.686865i 0.00496514 0.0281587i
\(596\) −7.65350 + 4.41875i −0.313500 + 0.180999i
\(597\) −26.7339 + 5.31568i −1.09415 + 0.217556i
\(598\) 3.10718 + 2.60724i 0.127062 + 0.106618i
\(599\) 0.907017 + 0.761078i 0.0370597 + 0.0310968i 0.661129 0.750272i \(-0.270077\pi\)
−0.624070 + 0.781369i \(0.714522\pi\)
\(600\) 4.81217 14.1728i 0.196456 0.578602i
\(601\) −7.88914 + 4.55480i −0.321805 + 0.185794i −0.652197 0.758050i \(-0.726152\pi\)
0.330392 + 0.943844i \(0.392819\pi\)
\(602\) −8.08220 + 45.8364i −0.329406 + 1.86815i
\(603\) −18.2291 + 11.6095i −0.742348 + 0.472775i
\(604\) −2.43866 + 2.90629i −0.0992279 + 0.118255i
\(605\) 2.98301 8.19576i 0.121277 0.333205i
\(606\) 8.42501 54.7116i 0.342243 2.22251i
\(607\) −4.96410 + 2.86602i −0.201487 + 0.116328i −0.597349 0.801982i \(-0.703779\pi\)
0.395862 + 0.918310i \(0.370446\pi\)
\(608\) 17.7962 5.45317i 0.721732 0.221155i
\(609\) −16.2546 + 3.23201i −0.658669 + 0.130967i
\(610\) −3.67490 4.37958i −0.148792 0.177324i
\(611\) 0.0131744 + 0.0747157i 0.000532979 + 0.00302267i
\(612\) −0.419499 0.457937i −0.0169572 0.0185110i
\(613\) −8.39829 + 7.04700i −0.339204 + 0.284626i −0.796438 0.604721i \(-0.793285\pi\)
0.457234 + 0.889347i \(0.348840\pi\)
\(614\) 21.8069 25.9885i 0.880057 1.04881i
\(615\) −2.56589 12.9045i −0.103467 0.520361i
\(616\) 4.34831 + 2.51050i 0.175199 + 0.101151i
\(617\) 22.6024 26.9365i 0.909937 1.08442i −0.0861708 0.996280i \(-0.527463\pi\)
0.996108 0.0881406i \(-0.0280925\pi\)
\(618\) −4.71708 + 0.102582i −0.189749 + 0.00412645i
\(619\) 25.7176 1.03368 0.516838 0.856083i \(-0.327109\pi\)
0.516838 + 0.856083i \(0.327109\pi\)
\(620\) −2.01449 + 3.48920i −0.0809038 + 0.140130i
\(621\) −23.0339 16.8969i −0.924318 0.678050i
\(622\) 27.9121 + 33.2643i 1.11917 + 1.33378i
\(623\) 30.1343 10.9680i 1.20731 0.439423i
\(624\) −0.576658 + 3.74478i −0.0230848 + 0.149911i
\(625\) 2.59253 + 14.7030i 0.103701 + 0.588119i
\(626\) −21.5331 37.2965i −0.860638 1.49067i
\(627\) 1.19593 5.76585i 0.0477609 0.230266i
\(628\) −1.13701 + 1.96936i −0.0453718 + 0.0785862i
\(629\) −2.72739 0.992690i −0.108748 0.0395812i
\(630\) −11.3663 + 7.23879i −0.452844 + 0.288400i
\(631\) −25.0217 20.9957i −0.996098 0.835825i −0.00965891 0.999953i \(-0.503075\pi\)
−0.986439 + 0.164128i \(0.947519\pi\)
\(632\) 6.96031 1.22729i 0.276866 0.0488190i
\(633\) −10.8351 + 0.235629i −0.430655 + 0.00936543i
\(634\) 40.1680 1.59527
\(635\) −8.16154 + 14.1362i −0.323881 + 0.560978i
\(636\) −1.32571 + 0.804329i −0.0525679 + 0.0318937i
\(637\) −1.40759 0.248196i −0.0557708 0.00983390i
\(638\) 3.37789 1.95023i 0.133732 0.0772103i
\(639\) 27.2724 11.2919i 1.07888 0.446701i
\(640\) −10.8965 1.92135i −0.430723 0.0759481i
\(641\) 1.88358 + 10.6823i 0.0743971 + 0.421927i 0.999145 + 0.0413464i \(0.0131647\pi\)
−0.924748 + 0.380581i \(0.875724\pi\)
\(642\) −1.13867 52.3599i −0.0449397 2.06648i
\(643\) 9.98334 8.37701i 0.393704 0.330357i −0.424350 0.905498i \(-0.639497\pi\)
0.818054 + 0.575141i \(0.195053\pi\)
\(644\) −13.8111 + 2.43527i −0.544233 + 0.0959630i
\(645\) −11.9712 4.06463i −0.471364 0.160045i
\(646\) −0.554650 1.81008i −0.0218224 0.0712167i
\(647\) 25.5417i 1.00415i −0.864825 0.502074i \(-0.832571\pi\)
0.864825 0.502074i \(-0.167429\pi\)
\(648\) 1.58327 18.0361i 0.0621966 0.708524i
\(649\) −1.17153 + 0.206572i −0.0459866 + 0.00810867i
\(650\) −1.08394 2.97810i −0.0425156 0.116811i
\(651\) 31.1082 12.0947i 1.21923 0.474029i
\(652\) 13.9283 5.06949i 0.545474 0.198536i
\(653\) 13.5130i 0.528805i −0.964412 0.264402i \(-0.914825\pi\)
0.964412 0.264402i \(-0.0851747\pi\)
\(654\) −10.4008 3.53143i −0.406702 0.138090i
\(655\) 1.82082 10.3264i 0.0711452 0.403484i
\(656\) 42.1745 15.3503i 1.64664 0.599328i
\(657\) −1.08238 + 8.21219i −0.0422275 + 0.320388i
\(658\) −0.797126 0.460221i −0.0310752 0.0179413i
\(659\) −17.4099 14.6086i −0.678192 0.569071i 0.237285 0.971440i \(-0.423742\pi\)
−0.915478 + 0.402369i \(0.868187\pi\)
\(660\) 0.565793 0.704858i 0.0220235 0.0274365i
\(661\) 25.3483 + 4.46958i 0.985933 + 0.173847i 0.643293 0.765620i \(-0.277568\pi\)
0.342640 + 0.939467i \(0.388679\pi\)
\(662\) −17.1960 20.4934i −0.668341 0.796497i
\(663\) 0.196108 + 0.0301986i 0.00761621 + 0.00117282i
\(664\) 20.5759 + 11.8795i 0.798501 + 0.461015i
\(665\) −11.6188 + 1.43408i −0.450560 + 0.0556113i
\(666\) 21.4525 + 51.8124i 0.831268 + 2.00769i
\(667\) 5.62233 15.4472i 0.217698 0.598119i
\(668\) 19.1265 + 6.96147i 0.740026 + 0.269347i
\(669\) −31.7535 + 0.690542i −1.22766 + 0.0266979i
\(670\) −9.50251 3.45863i −0.367114 0.133619i
\(671\) −1.08649 2.98510i −0.0419434 0.115239i
\(672\) −15.6037 17.7952i −0.601926 0.686466i
\(673\) 0.522437i 0.0201385i 0.999949 + 0.0100692i \(0.00320519\pi\)
−0.999949 + 0.0100692i \(0.996795\pi\)
\(674\) 12.8047 + 35.1806i 0.493218 + 1.35511i
\(675\) 8.98500 + 20.4321i 0.345833 + 0.786433i
\(676\) −5.10397 8.84034i −0.196307 0.340013i
\(677\) −10.2593 17.7696i −0.394297 0.682942i 0.598714 0.800963i \(-0.295678\pi\)
−0.993011 + 0.118021i \(0.962345\pi\)
\(678\) 17.0157 + 9.33676i 0.653485 + 0.358576i
\(679\) 12.6387 34.7247i 0.485031 1.33261i
\(680\) −0.0761388 + 0.431804i −0.00291979 + 0.0165589i
\(681\) 22.5995 28.1541i 0.866013 1.07887i
\(682\) −6.01750 + 5.04929i −0.230422 + 0.193347i
\(683\) −45.4076 −1.73747 −0.868737 0.495274i \(-0.835068\pi\)
−0.868737 + 0.495274i \(0.835068\pi\)
\(684\) −5.28631 + 8.98438i −0.202127 + 0.343526i
\(685\) 12.1969 0.466020
\(686\) −15.4151 + 12.9348i −0.588551 + 0.493853i
\(687\) −3.49859 8.99855i −0.133479 0.343316i
\(688\) 7.48861 42.4700i 0.285501 1.61916i
\(689\) 0.169445 0.465546i 0.00645533 0.0177359i
\(690\) −0.290612 13.3634i −0.0110634 0.508734i
\(691\) −5.50192 9.52960i −0.209303 0.362523i 0.742192 0.670187i \(-0.233786\pi\)
−0.951495 + 0.307664i \(0.900453\pi\)
\(692\) −2.01591 3.49166i −0.0766334 0.132733i
\(693\) −7.31039 + 1.61955i −0.277699 + 0.0615217i
\(694\) −10.6006 29.1249i −0.402393 1.10557i
\(695\) 8.73779i 0.331443i
\(696\) 10.2186 2.03183i 0.387336 0.0770164i
\(697\) −0.803868 2.20861i −0.0304487 0.0836571i
\(698\) −52.7704 19.2068i −1.99739 0.726990i
\(699\) 11.6542 + 19.2086i 0.440801 + 0.726538i
\(700\) 10.2968 + 3.74773i 0.389183 + 0.141651i
\(701\) 12.0049 32.9832i 0.453419 1.24576i −0.476883 0.878967i \(-0.658234\pi\)
0.930303 0.366793i \(-0.119544\pi\)
\(702\) −2.12917 3.18804i −0.0803604 0.120325i
\(703\) −2.51890 + 48.6527i −0.0950023 + 1.83497i
\(704\) −1.87514 1.08261i −0.0706721 0.0408026i
\(705\) 0.156504 0.194971i 0.00589429 0.00734304i
\(706\) 23.9004 + 28.4833i 0.899502 + 1.07198i
\(707\) −60.2215 10.6187i −2.26486 0.399356i
\(708\) 2.08135 + 0.320507i 0.0782221 + 0.0120454i
\(709\) −1.56712 1.31497i −0.0588545 0.0493848i 0.612886 0.790171i \(-0.290009\pi\)
−0.671740 + 0.740787i \(0.734453\pi\)
\(710\) 11.9610 + 6.90569i 0.448889 + 0.259166i
\(711\) −6.41744 + 8.36083i −0.240673 + 0.313556i
\(712\) −18.9442 + 6.89513i −0.709965 + 0.258406i
\(713\) −5.74887 + 32.6034i −0.215297 + 1.22101i
\(714\) −1.80998 + 1.58708i −0.0677368 + 0.0593948i
\(715\) 0.288778i 0.0107997i
\(716\) 17.8362 6.49184i 0.666569 0.242611i
\(717\) −2.10292 1.68802i −0.0785349 0.0630404i
\(718\) 2.34334 + 6.43828i 0.0874528 + 0.240275i
\(719\) 23.5419 4.15108i 0.877966 0.154809i 0.283541 0.958960i \(-0.408491\pi\)
0.594425 + 0.804151i \(0.297380\pi\)
\(720\) 10.5315 6.70715i 0.392486 0.249961i
\(721\) 5.21204i 0.194106i
\(722\) −26.3218 + 17.8028i −0.979595 + 0.662551i
\(723\) 30.2452 26.5204i 1.12483 0.986304i
\(724\) −4.67784 + 0.824830i −0.173851 + 0.0306545i
\(725\) −9.83919 + 8.25606i −0.365418 + 0.306622i
\(726\) −25.7362 + 15.6146i −0.955161 + 0.579510i
\(727\) 0.423760 + 2.40326i 0.0157164 + 0.0891321i 0.991657 0.128904i \(-0.0411460\pi\)
−0.975941 + 0.218036i \(0.930035\pi\)
\(728\) 2.79668 + 0.493130i 0.103652 + 0.0182766i
\(729\) 16.4272 + 21.4277i 0.608413 + 0.793620i
\(730\) −3.35649 + 1.93787i −0.124229 + 0.0717237i
\(731\) −2.22409 0.392166i −0.0822608 0.0145048i
\(732\) 0.122265 + 5.62217i 0.00451905 + 0.207801i
\(733\) 21.0743 36.5018i 0.778398 1.34823i −0.154466 0.987998i \(-0.549366\pi\)
0.932864 0.360227i \(-0.117301\pi\)
\(734\) −2.52688 −0.0932690
\(735\) 2.44318 + 4.02690i 0.0901181 + 0.148535i
\(736\) 23.1191 4.07652i 0.852182 0.150263i
\(737\) −4.30429 3.61173i −0.158551 0.133040i
\(738\) −20.9744 + 40.2771i −0.772080 + 1.48262i
\(739\) −35.9105 13.0704i −1.32099 0.480801i −0.417215 0.908808i \(-0.636994\pi\)
−0.903776 + 0.428007i \(0.859216\pi\)
\(740\) −3.73891 + 6.47599i −0.137445 + 0.238062i
\(741\) −0.479749 3.29578i −0.0176240 0.121073i
\(742\) 3.00526 + 5.20526i 0.110327 + 0.191091i
\(743\) 1.58897 + 9.01148i 0.0582936 + 0.330599i 0.999983 0.00588497i \(-0.00187325\pi\)
−0.941689 + 0.336484i \(0.890762\pi\)
\(744\) −19.5565 + 7.60345i −0.716975 + 0.278756i
\(745\) −8.74357 + 3.18240i −0.320340 + 0.116594i
\(746\) −27.5220 32.7995i −1.00765 1.20087i
\(747\) −34.5923 + 7.66362i −1.26567 + 0.280397i
\(748\) 0.0807305 0.139829i 0.00295180 0.00511267i
\(749\) −57.8540 −2.11394
\(750\) −10.8719 + 19.8135i −0.396987 + 0.723486i
\(751\) −18.8612 + 22.4779i −0.688255 + 0.820230i −0.991143 0.132796i \(-0.957605\pi\)
0.302888 + 0.953026i \(0.402049\pi\)
\(752\) 0.738582 + 0.426420i 0.0269333 + 0.0155500i
\(753\) −2.48352 + 2.17767i −0.0905045 + 0.0793586i
\(754\) 1.41803 1.68994i 0.0516415 0.0615439i
\(755\) −3.05993 + 2.56759i −0.111362 + 0.0934441i
\(756\) 13.1758 + 1.44591i 0.479201 + 0.0525874i
\(757\) 3.30448 + 18.7406i 0.120103 + 0.681139i 0.984096 + 0.177636i \(0.0568448\pi\)
−0.863993 + 0.503504i \(0.832044\pi\)
\(758\) 7.78355 + 9.27608i 0.282711 + 0.336922i
\(759\) 2.38785 7.03268i 0.0866733 0.255270i
\(760\) 7.30430 0.901549i 0.264955 0.0327026i
\(761\) 19.6162 11.3254i 0.711087 0.410546i −0.100376 0.994950i \(-0.532005\pi\)
0.811463 + 0.584403i \(0.198671\pi\)
\(762\) 52.5091 20.4153i 1.90220 0.739567i
\(763\) −4.14994 + 11.4019i −0.150238 + 0.412775i
\(764\) 7.57943 9.03282i 0.274214 0.326796i
\(765\) −0.351242 0.551518i −0.0126992 0.0199402i
\(766\) −6.14862 + 34.8706i −0.222159 + 1.25993i
\(767\) −0.582685 + 0.336413i −0.0210395 + 0.0121472i
\(768\) 18.8375 + 21.4832i 0.679739 + 0.775208i
\(769\) −1.63106 1.36862i −0.0588174 0.0493537i 0.612905 0.790157i \(-0.290001\pi\)
−0.671722 + 0.740803i \(0.734445\pi\)
\(770\) −2.68383 2.25200i −0.0967184 0.0811564i
\(771\) −8.65236 9.86758i