Properties

Label 384.2.v.a.229.8
Level $384$
Weight $2$
Character 384.229
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 229.8
Character \(\chi\) \(=\) 384.229
Dual form 384.2.v.a.109.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.08380 + 0.908505i) q^{2} +(0.881921 - 0.471397i) q^{3} +(0.349236 - 1.96927i) q^{4} +(1.51317 + 1.84381i) q^{5} +(-0.527558 + 1.31213i) q^{6} +(1.69750 - 1.13424i) q^{7} +(1.41059 + 2.45158i) q^{8} +(0.555570 - 0.831470i) q^{9} +O(q^{10})\) \(q+(-1.08380 + 0.908505i) q^{2} +(0.881921 - 0.471397i) q^{3} +(0.349236 - 1.96927i) q^{4} +(1.51317 + 1.84381i) q^{5} +(-0.527558 + 1.31213i) q^{6} +(1.69750 - 1.13424i) q^{7} +(1.41059 + 2.45158i) q^{8} +(0.555570 - 0.831470i) q^{9} +(-3.31508 - 0.623587i) q^{10} +(1.92877 - 0.585085i) q^{11} +(-0.620310 - 1.90137i) q^{12} +(-1.76228 - 1.44627i) q^{13} +(-0.809292 + 2.77147i) q^{14} +(2.20366 + 0.912787i) q^{15} +(-3.75607 - 1.37548i) q^{16} +(-1.20049 + 0.497260i) q^{17} +(0.153269 + 1.40588i) q^{18} +(0.0663842 + 0.674010i) q^{19} +(4.15941 - 2.33592i) q^{20} +(0.962390 - 1.80051i) q^{21} +(-1.55884 + 2.38641i) q^{22} +(4.83916 - 0.962569i) q^{23} +(2.39970 + 1.49715i) q^{24} +(-0.134477 + 0.676061i) q^{25} +(3.22390 - 0.0335811i) q^{26} +(0.0980171 - 0.995185i) q^{27} +(-1.64079 - 3.73897i) q^{28} +(-1.28397 + 4.23268i) q^{29} +(-3.21760 + 1.01276i) q^{30} +(3.94232 + 3.94232i) q^{31} +(5.32045 - 1.92167i) q^{32} +(1.42521 - 1.42521i) q^{33} +(0.849328 - 1.62958i) q^{34} +(4.65993 + 1.41357i) q^{35} +(-1.44337 - 1.38445i) q^{36} +(1.45144 + 0.142954i) q^{37} +(-0.684289 - 0.670180i) q^{38} +(-2.23596 - 0.444760i) q^{39} +(-2.38576 + 6.31052i) q^{40} +(-1.24514 - 6.25974i) q^{41} +(0.592732 + 2.82572i) q^{42} +(-3.63120 - 1.94092i) q^{43} +(-0.478597 - 4.00260i) q^{44} +(2.37374 - 0.233793i) q^{45} +(-4.37017 + 5.43963i) q^{46} +(3.99335 + 9.64079i) q^{47} +(-3.96095 + 0.557532i) q^{48} +(-1.08375 + 2.61641i) q^{49} +(-0.468460 - 0.854887i) q^{50} +(-0.824333 + 1.00445i) q^{51} +(-3.46355 + 2.96533i) q^{52} +(1.42674 + 4.70334i) q^{53} +(0.797900 + 1.16763i) q^{54} +(3.99734 + 2.67094i) q^{55} +(5.17516 + 2.56162i) q^{56} +(0.376272 + 0.563131i) q^{57} +(-2.45385 - 5.75386i) q^{58} +(-6.73143 + 5.52434i) q^{59} +(2.56712 - 4.02083i) q^{60} +(-3.92102 - 7.33571i) q^{61} +(-7.85429 - 0.691058i) q^{62} -2.04157i q^{63} +(-4.02045 + 6.91636i) q^{64} -5.43776i q^{65} +(-0.249829 + 2.83946i) q^{66} +(2.13980 + 4.00329i) q^{67} +(0.559986 + 2.53776i) q^{68} +(3.81401 - 3.13007i) q^{69} +(-6.33466 + 2.70154i) q^{70} +(-8.27472 - 12.3840i) q^{71} +(2.82209 + 0.189157i) q^{72} +(-6.01751 - 4.02077i) q^{73} +(-1.70294 + 1.16371i) q^{74} +(0.200095 + 0.659625i) q^{75} +(1.35049 + 0.104660i) q^{76} +(2.61047 - 3.18086i) q^{77} +(2.82740 - 1.54935i) q^{78} +(2.42450 - 5.85326i) q^{79} +(-3.14746 - 9.00680i) q^{80} +(-0.382683 - 0.923880i) q^{81} +(7.03649 + 5.65308i) q^{82} +(4.16177 - 0.409899i) q^{83} +(-3.20958 - 2.52401i) q^{84} +(-2.73340 - 1.46103i) q^{85} +(5.69882 - 1.19540i) q^{86} +(0.862911 + 4.33815i) q^{87} +(4.15509 + 3.90320i) q^{88} +(-10.0964 - 2.00831i) q^{89} +(-2.36025 + 2.40994i) q^{90} +(-4.63189 - 0.456202i) q^{91} +(-0.205552 - 9.86579i) q^{92} +(5.33521 + 1.61842i) q^{93} +(-13.0867 - 6.82069i) q^{94} +(-1.14229 + 1.14229i) q^{95} +(3.78635 - 4.20280i) q^{96} +(-9.11913 - 9.11913i) q^{97} +(-1.20246 - 3.82026i) q^{98} +(0.585085 - 1.92877i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q + O(q^{10}) \) \( 512 q - 96 q^{50} - 96 q^{52} - 32 q^{54} - 224 q^{56} - 192 q^{60} - 192 q^{62} - 192 q^{64} - 192 q^{66} - 192 q^{68} - 192 q^{70} - 224 q^{74} - 32 q^{76} - 96 q^{78} - 96 q^{80} + O(q^{100}) \)

Character values

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

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{9}{32}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.08380 + 0.908505i −0.766361 + 0.642410i
\(3\) 0.881921 0.471397i 0.509177 0.272161i
\(4\) 0.349236 1.96927i 0.174618 0.984636i
\(5\) 1.51317 + 1.84381i 0.676711 + 0.824575i 0.992239 0.124341i \(-0.0396818\pi\)
−0.315529 + 0.948916i \(0.602182\pi\)
\(6\) −0.527558 + 1.31213i −0.215375 + 0.535674i
\(7\) 1.69750 1.13424i 0.641596 0.428701i −0.191756 0.981443i \(-0.561418\pi\)
0.833353 + 0.552742i \(0.186418\pi\)
\(8\) 1.41059 + 2.45158i 0.498720 + 0.866763i
\(9\) 0.555570 0.831470i 0.185190 0.277157i
\(10\) −3.31508 0.623587i −1.04832 0.197196i
\(11\) 1.92877 0.585085i 0.581545 0.176410i 0.0142132 0.999899i \(-0.495476\pi\)
0.567332 + 0.823489i \(0.307976\pi\)
\(12\) −0.620310 1.90137i −0.179068 0.548879i
\(13\) −1.76228 1.44627i −0.488769 0.401123i 0.357471 0.933924i \(-0.383639\pi\)
−0.846240 + 0.532802i \(0.821139\pi\)
\(14\) −0.809292 + 2.77147i −0.216292 + 0.740708i
\(15\) 2.20366 + 0.912787i 0.568983 + 0.235681i
\(16\) −3.75607 1.37548i −0.939017 0.343870i
\(17\) −1.20049 + 0.497260i −0.291162 + 0.120603i −0.523484 0.852036i \(-0.675368\pi\)
0.232321 + 0.972639i \(0.425368\pi\)
\(18\) 0.153269 + 1.40588i 0.0361258 + 0.331370i
\(19\) 0.0663842 + 0.674010i 0.0152296 + 0.154629i 0.999792 0.0204066i \(-0.00649608\pi\)
−0.984562 + 0.175035i \(0.943996\pi\)
\(20\) 4.15941 2.33592i 0.930072 0.522329i
\(21\) 0.962390 1.80051i 0.210011 0.392902i
\(22\) −1.55884 + 2.38641i −0.332346 + 0.508784i
\(23\) 4.83916 0.962569i 1.00903 0.200709i 0.337218 0.941427i \(-0.390514\pi\)
0.671817 + 0.740717i \(0.265514\pi\)
\(24\) 2.39970 + 1.49715i 0.489836 + 0.305604i
\(25\) −0.134477 + 0.676061i −0.0268954 + 0.135212i
\(26\) 3.22390 0.0335811i 0.632259 0.00658579i
\(27\) 0.0980171 0.995185i 0.0188634 0.191523i
\(28\) −1.64079 3.73897i −0.310080 0.706598i
\(29\) −1.28397 + 4.23268i −0.238427 + 0.785989i 0.753306 + 0.657670i \(0.228458\pi\)
−0.991733 + 0.128318i \(0.959042\pi\)
\(30\) −3.21760 + 1.01276i −0.587450 + 0.184904i
\(31\) 3.94232 + 3.94232i 0.708061 + 0.708061i 0.966127 0.258066i \(-0.0830853\pi\)
−0.258066 + 0.966127i \(0.583085\pi\)
\(32\) 5.32045 1.92167i 0.940532 0.339706i
\(33\) 1.42521 1.42521i 0.248098 0.248098i
\(34\) 0.849328 1.62958i 0.145658 0.279471i
\(35\) 4.65993 + 1.41357i 0.787671 + 0.238937i
\(36\) −1.44337 1.38445i −0.240561 0.230741i
\(37\) 1.45144 + 0.142954i 0.238615 + 0.0235015i 0.216618 0.976257i \(-0.430498\pi\)
0.0219972 + 0.999758i \(0.492998\pi\)
\(38\) −0.684289 0.670180i −0.111006 0.108718i
\(39\) −2.23596 0.444760i −0.358040 0.0712187i
\(40\) −2.38576 + 6.31052i −0.377221 + 0.997780i
\(41\) −1.24514 6.25974i −0.194458 0.977607i −0.947530 0.319668i \(-0.896429\pi\)
0.753071 0.657939i \(-0.228571\pi\)
\(42\) 0.592732 + 2.82572i 0.0914606 + 0.436018i
\(43\) −3.63120 1.94092i −0.553752 0.295987i 0.170687 0.985325i \(-0.445401\pi\)
−0.724439 + 0.689339i \(0.757901\pi\)
\(44\) −0.478597 4.00260i −0.0721513 0.603415i
\(45\) 2.37374 0.233793i 0.353856 0.0348518i
\(46\) −4.37017 + 5.43963i −0.644347 + 0.802030i
\(47\) 3.99335 + 9.64079i 0.582489 + 1.40625i 0.890549 + 0.454887i \(0.150320\pi\)
−0.308060 + 0.951367i \(0.599680\pi\)
\(48\) −3.96095 + 0.557532i −0.571714 + 0.0804729i
\(49\) −1.08375 + 2.61641i −0.154822 + 0.373773i
\(50\) −0.468460 0.854887i −0.0662502 0.120899i
\(51\) −0.824333 + 1.00445i −0.115430 + 0.140651i
\(52\) −3.46355 + 2.96533i −0.480308 + 0.411217i
\(53\) 1.42674 + 4.70334i 0.195978 + 0.646053i 0.998760 + 0.0497806i \(0.0158522\pi\)
−0.802782 + 0.596272i \(0.796648\pi\)
\(54\) 0.797900 + 1.16763i 0.108580 + 0.158894i
\(55\) 3.99734 + 2.67094i 0.539001 + 0.360149i
\(56\) 5.17516 + 2.56162i 0.691559 + 0.342310i
\(57\) 0.376272 + 0.563131i 0.0498384 + 0.0745885i
\(58\) −2.45385 5.75386i −0.322206 0.755519i
\(59\) −6.73143 + 5.52434i −0.876358 + 0.719208i −0.960807 0.277219i \(-0.910587\pi\)
0.0844487 + 0.996428i \(0.473087\pi\)
\(60\) 2.56712 4.02083i 0.331414 0.519087i
\(61\) −3.92102 7.33571i −0.502035 0.939242i −0.997504 0.0706158i \(-0.977504\pi\)
0.495468 0.868626i \(-0.334996\pi\)
\(62\) −7.85429 0.691058i −0.997496 0.0877645i
\(63\) 2.04157i 0.257214i
\(64\) −4.02045 + 6.91636i −0.502556 + 0.864544i
\(65\) 5.43776i 0.674471i
\(66\) −0.249829 + 2.83946i −0.0307519 + 0.349513i
\(67\) 2.13980 + 4.00329i 0.261418 + 0.489079i 0.978049 0.208373i \(-0.0668168\pi\)
−0.716631 + 0.697452i \(0.754317\pi\)
\(68\) 0.559986 + 2.53776i 0.0679083 + 0.307748i
\(69\) 3.81401 3.13007i 0.459152 0.376817i
\(70\) −6.33466 + 2.70154i −0.757136 + 0.322896i
\(71\) −8.27472 12.3840i −0.982028 1.46971i −0.880026 0.474925i \(-0.842475\pi\)
−0.102002 0.994784i \(-0.532525\pi\)
\(72\) 2.82209 + 0.189157i 0.332587 + 0.0222924i
\(73\) −6.01751 4.02077i −0.704297 0.470596i 0.151134 0.988513i \(-0.451708\pi\)
−0.855431 + 0.517917i \(0.826708\pi\)
\(74\) −1.70294 + 1.16371i −0.197963 + 0.135278i
\(75\) 0.200095 + 0.659625i 0.0231050 + 0.0761669i
\(76\) 1.35049 + 0.104660i 0.154912 + 0.0120053i
\(77\) 2.61047 3.18086i 0.297490 0.362493i
\(78\) 2.82740 1.54935i 0.320140 0.175430i
\(79\) 2.42450 5.85326i 0.272778 0.658543i −0.726822 0.686826i \(-0.759004\pi\)
0.999600 + 0.0282820i \(0.00900365\pi\)
\(80\) −3.14746 9.00680i −0.351896 1.00699i
\(81\) −0.382683 0.923880i −0.0425204 0.102653i
\(82\) 7.03649 + 5.65308i 0.777050 + 0.624278i
\(83\) 4.16177 0.409899i 0.456814 0.0449922i 0.133006 0.991115i \(-0.457537\pi\)
0.323807 + 0.946123i \(0.395037\pi\)
\(84\) −3.20958 2.52401i −0.350194 0.275392i
\(85\) −2.73340 1.46103i −0.296479 0.158471i
\(86\) 5.69882 1.19540i 0.614519 0.128904i
\(87\) 0.862911 + 4.33815i 0.0925138 + 0.465098i
\(88\) 4.15509 + 3.90320i 0.442934 + 0.416083i
\(89\) −10.0964 2.00831i −1.07022 0.212880i −0.371615 0.928387i \(-0.621196\pi\)
−0.698606 + 0.715507i \(0.746196\pi\)
\(90\) −2.36025 + 2.40994i −0.248793 + 0.254030i
\(91\) −4.63189 0.456202i −0.485554 0.0478229i
\(92\) −0.205552 9.86579i −0.0214303 1.02858i
\(93\) 5.33521 + 1.61842i 0.553235 + 0.167822i
\(94\) −13.0867 6.82069i −1.34979 0.703501i
\(95\) −1.14229 + 1.14229i −0.117197 + 0.117197i
\(96\) 3.78635 4.20280i 0.386443 0.428947i
\(97\) −9.11913 9.11913i −0.925907 0.925907i 0.0715310 0.997438i \(-0.477212\pi\)
−0.997438 + 0.0715310i \(0.977212\pi\)
\(98\) −1.20246 3.82026i −0.121466 0.385905i
\(99\) 0.585085 1.92877i 0.0588033 0.193848i
\(100\) 1.28439 + 0.500927i 0.128439 + 0.0500927i
\(101\) −1.15741 + 11.7513i −0.115166 + 1.16930i 0.747759 + 0.663970i \(0.231130\pi\)
−0.862925 + 0.505332i \(0.831370\pi\)
\(102\) −0.0191403 1.83753i −0.00189517 0.181943i
\(103\) 1.07543 5.40655i 0.105965 0.532723i −0.890941 0.454120i \(-0.849954\pi\)
0.996906 0.0786035i \(-0.0250461\pi\)
\(104\) 1.05977 6.36047i 0.103919 0.623695i
\(105\) 4.77604 0.950014i 0.466094 0.0927119i
\(106\) −5.81931 3.80126i −0.565221 0.369211i
\(107\) −1.12667 + 2.10785i −0.108919 + 0.203773i −0.930476 0.366354i \(-0.880606\pi\)
0.821557 + 0.570127i \(0.193106\pi\)
\(108\) −1.92556 0.540577i −0.185287 0.0520170i
\(109\) −1.65828 16.8367i −0.158834 1.61267i −0.662699 0.748886i \(-0.730589\pi\)
0.503865 0.863782i \(-0.331911\pi\)
\(110\) −6.75887 + 0.736849i −0.644433 + 0.0702558i
\(111\) 1.34744 0.558129i 0.127894 0.0529752i
\(112\) −7.93606 + 1.92538i −0.749888 + 0.181932i
\(113\) −15.6486 6.48185i −1.47209 0.609761i −0.504758 0.863261i \(-0.668418\pi\)
−0.967335 + 0.253500i \(0.918418\pi\)
\(114\) −0.919410 0.268475i −0.0861106 0.0251450i
\(115\) 9.09727 + 7.46594i 0.848325 + 0.696202i
\(116\) 7.88689 + 4.00669i 0.732279 + 0.372012i
\(117\) −2.18160 + 0.661781i −0.201689 + 0.0611817i
\(118\) 2.27662 12.1028i 0.209580 1.11415i
\(119\) −1.47383 + 2.20574i −0.135106 + 0.202200i
\(120\) 0.870706 + 6.69002i 0.0794842 + 0.610712i
\(121\) −5.76835 + 3.85429i −0.524395 + 0.350390i
\(122\) 10.9141 + 4.38816i 0.988119 + 0.397286i
\(123\) −4.04894 4.93364i −0.365080 0.444852i
\(124\) 9.14029 6.38670i 0.820822 0.573542i
\(125\) 9.06790 4.84689i 0.811057 0.433519i
\(126\) 1.85478 + 2.21265i 0.165237 + 0.197119i
\(127\) 13.4180 1.19066 0.595328 0.803483i \(-0.297022\pi\)
0.595328 + 0.803483i \(0.297022\pi\)
\(128\) −1.92619 11.1485i −0.170253 0.985400i
\(129\) −4.11737 −0.362514
\(130\) 4.94023 + 5.89343i 0.433287 + 0.516888i
\(131\) −15.5513 + 8.31234i −1.35872 + 0.726253i −0.979951 0.199237i \(-0.936154\pi\)
−0.378772 + 0.925490i \(0.623654\pi\)
\(132\) −2.30890 3.30437i −0.200964 0.287608i
\(133\) 0.877174 + 1.06884i 0.0760607 + 0.0926802i
\(134\) −5.95612 2.39473i −0.514530 0.206873i
\(135\) 1.98324 1.32516i 0.170690 0.114052i
\(136\) −2.91248 2.24167i −0.249743 0.192221i
\(137\) −3.67875 + 5.50564i −0.314297 + 0.470378i −0.954662 0.297692i \(-0.903783\pi\)
0.640365 + 0.768071i \(0.278783\pi\)
\(138\) −1.28992 + 6.85741i −0.109806 + 0.583742i
\(139\) −11.8681 + 3.60016i −1.00664 + 0.305361i −0.750209 0.661201i \(-0.770047\pi\)
−0.256433 + 0.966562i \(0.582547\pi\)
\(140\) 4.41112 8.68300i 0.372808 0.733847i
\(141\) 8.06645 + 6.61997i 0.679318 + 0.557502i
\(142\) 20.2190 + 5.90412i 1.69674 + 0.495463i
\(143\) −4.24522 1.75843i −0.355003 0.147047i
\(144\) −3.23043 + 2.35888i −0.269203 + 0.196573i
\(145\) −9.74710 + 4.03738i −0.809452 + 0.335286i
\(146\) 10.1747 1.10924i 0.842061 0.0918011i
\(147\) 0.277583 + 2.81835i 0.0228947 + 0.232454i
\(148\) 0.788410 2.80835i 0.0648069 0.230845i
\(149\) −6.57456 + 12.3001i −0.538609 + 1.00767i 0.454531 + 0.890731i \(0.349807\pi\)
−0.993140 + 0.116935i \(0.962693\pi\)
\(150\) −0.816135 0.533113i −0.0666372 0.0435285i
\(151\) 19.7401 3.92656i 1.60643 0.319539i 0.691259 0.722607i \(-0.257056\pi\)
0.915170 + 0.403068i \(0.132056\pi\)
\(152\) −1.55875 + 1.11350i −0.126431 + 0.0903168i
\(153\) −0.253501 + 1.27444i −0.0204943 + 0.103032i
\(154\) 0.0606128 + 5.81903i 0.00488431 + 0.468911i
\(155\) −1.30346 + 13.2343i −0.104697 + 1.06300i
\(156\) −1.65673 + 4.24789i −0.132645 + 0.340103i
\(157\) −6.23968 + 20.5695i −0.497981 + 1.64162i 0.242948 + 0.970039i \(0.421885\pi\)
−0.740929 + 0.671583i \(0.765615\pi\)
\(158\) 2.69005 + 8.54643i 0.214009 + 0.679917i
\(159\) 3.47541 + 3.47541i 0.275618 + 0.275618i
\(160\) 11.5939 + 6.90207i 0.916581 + 0.545656i
\(161\) 7.12272 7.12272i 0.561349 0.561349i
\(162\) 1.25410 + 0.653629i 0.0985315 + 0.0513539i
\(163\) 18.9985 + 5.76313i 1.48808 + 0.451403i 0.926587 0.376080i \(-0.122728\pi\)
0.561490 + 0.827483i \(0.310228\pi\)
\(164\) −12.7620 + 0.265894i −0.996543 + 0.0207628i
\(165\) 4.78441 + 0.471223i 0.372466 + 0.0366847i
\(166\) −4.13812 + 4.22524i −0.321181 + 0.327942i
\(167\) −17.0695 3.39533i −1.32087 0.262738i −0.516207 0.856464i \(-0.672656\pi\)
−0.804667 + 0.593726i \(0.797656\pi\)
\(168\) 5.77162 0.180409i 0.445290 0.0139188i
\(169\) −1.52222 7.65274i −0.117094 0.588672i
\(170\) 4.28981 0.899845i 0.329014 0.0690150i
\(171\) 0.597300 + 0.319264i 0.0456767 + 0.0244147i
\(172\) −5.09033 + 6.47298i −0.388134 + 0.493560i
\(173\) 2.13477 0.210257i 0.162304 0.0159855i −0.0165389 0.999863i \(-0.505265\pi\)
0.178843 + 0.983878i \(0.442765\pi\)
\(174\) −4.87645 3.91772i −0.369683 0.297001i
\(175\) 0.538538 + 1.30015i 0.0407097 + 0.0982818i
\(176\) −8.04936 0.455363i −0.606743 0.0343243i
\(177\) −3.33244 + 8.04521i −0.250481 + 0.604715i
\(178\) 12.7671 6.99607i 0.956932 0.524378i
\(179\) −5.32959 + 6.49412i −0.398352 + 0.485393i −0.933099 0.359619i \(-0.882907\pi\)
0.534747 + 0.845012i \(0.320407\pi\)
\(180\) 0.368593 4.75619i 0.0274733 0.354506i
\(181\) 2.84738 + 9.38655i 0.211644 + 0.697697i 0.996911 + 0.0785395i \(0.0250257\pi\)
−0.785267 + 0.619157i \(0.787474\pi\)
\(182\) 5.43450 3.71367i 0.402832 0.275276i
\(183\) −6.91606 4.62117i −0.511250 0.341606i
\(184\) 9.18590 + 10.5058i 0.677193 + 0.774496i
\(185\) 1.93269 + 2.89248i 0.142095 + 0.212660i
\(186\) −7.25263 + 3.09303i −0.531788 + 0.226792i
\(187\) −2.02453 + 1.66149i −0.148048 + 0.121500i
\(188\) 20.3800 4.49708i 1.48636 0.327983i
\(189\) −0.962390 1.80051i −0.0700036 0.130967i
\(190\) 0.200235 2.27579i 0.0145266 0.165103i
\(191\) 2.66457i 0.192801i −0.995343 0.0964006i \(-0.969267\pi\)
0.995343 0.0964006i \(-0.0307330\pi\)
\(192\) −0.285374 + 7.99491i −0.0205951 + 0.576983i
\(193\) 5.89897i 0.424617i −0.977203 0.212309i \(-0.931902\pi\)
0.977203 0.212309i \(-0.0680982\pi\)
\(194\) 18.1681 + 1.59852i 1.30439 + 0.114767i
\(195\) −2.56334 4.79568i −0.183565 0.343425i
\(196\) 4.77395 + 3.04795i 0.340996 + 0.217711i
\(197\) −9.21547 + 7.56294i −0.656575 + 0.538837i −0.902629 0.430419i \(-0.858366\pi\)
0.246054 + 0.969256i \(0.420866\pi\)
\(198\) 1.11818 + 2.62195i 0.0794657 + 0.186334i
\(199\) 3.34864 + 5.01159i 0.237379 + 0.355262i 0.930963 0.365113i \(-0.118970\pi\)
−0.693585 + 0.720375i \(0.743970\pi\)
\(200\) −1.84711 + 0.623967i −0.130610 + 0.0441212i
\(201\) 3.77427 + 2.52189i 0.266217 + 0.177880i
\(202\) −9.42176 13.7876i −0.662913 0.970091i
\(203\) 2.62131 + 8.64131i 0.183980 + 0.606501i
\(204\) 1.69015 + 1.97413i 0.118334 + 0.138217i
\(205\) 9.65763 11.7679i 0.674518 0.821903i
\(206\) 3.74633 + 6.83664i 0.261019 + 0.476331i
\(207\) 1.88815 4.55839i 0.131235 0.316830i
\(208\) 4.62994 + 7.85627i 0.321029 + 0.544734i
\(209\) 0.522393 + 1.26117i 0.0361347 + 0.0872368i
\(210\) −4.31317 + 5.36868i −0.297637 + 0.370474i
\(211\) −3.89162 + 0.383291i −0.267910 + 0.0263869i −0.231080 0.972935i \(-0.574226\pi\)
−0.0368301 + 0.999322i \(0.511726\pi\)
\(212\) 9.76042 1.16707i 0.670349 0.0801547i
\(213\) −13.1354 7.02103i −0.900024 0.481073i
\(214\) −0.693910 3.30806i −0.0474347 0.226134i
\(215\) −1.91596 9.63216i −0.130667 0.656908i
\(216\) 2.57803 1.16350i 0.175413 0.0791665i
\(217\) 11.1636 + 2.22058i 0.757836 + 0.150743i
\(218\) 17.0935 + 16.7411i 1.15772 + 1.13385i
\(219\) −7.20235 0.709370i −0.486690 0.0479348i
\(220\) 6.65582 6.93906i 0.448735 0.467832i
\(221\) 2.83478 + 0.859921i 0.190688 + 0.0578445i
\(222\) −0.953292 + 1.82906i −0.0639807 + 0.122758i
\(223\) 16.6668 16.6668i 1.11609 1.11609i 0.123780 0.992310i \(-0.460498\pi\)
0.992310 0.123780i \(-0.0395018\pi\)
\(224\) 6.85187 9.29668i 0.457810 0.621161i
\(225\) 0.487413 + 0.487413i 0.0324942 + 0.0324942i
\(226\) 22.8487 7.19179i 1.51987 0.478391i
\(227\) 8.67960 28.6128i 0.576085 1.89910i 0.169339 0.985558i \(-0.445837\pi\)
0.406747 0.913541i \(-0.366663\pi\)
\(228\) 1.24037 0.544316i 0.0821452 0.0360482i
\(229\) −0.468204 + 4.75376i −0.0309398 + 0.314137i 0.967242 + 0.253857i \(0.0816993\pi\)
−0.998182 + 0.0602800i \(0.980801\pi\)
\(230\) −16.6424 + 0.173353i −1.09737 + 0.0114305i
\(231\) 0.802778 4.03584i 0.0528189 0.265538i
\(232\) −12.1879 + 2.82284i −0.800174 + 0.185329i
\(233\) 27.0721 5.38498i 1.77355 0.352782i 0.803432 0.595397i \(-0.203005\pi\)
0.970123 + 0.242615i \(0.0780052\pi\)
\(234\) 1.76318 2.69923i 0.115263 0.176454i
\(235\) −11.7331 + 21.9511i −0.765384 + 1.43193i
\(236\) 8.52808 + 15.1853i 0.555131 + 0.988481i
\(237\) −0.620990 6.30502i −0.0403376 0.409555i
\(238\) −0.406595 3.72956i −0.0263557 0.241752i
\(239\) −25.2426 + 10.4558i −1.63281 + 0.676331i −0.995542 0.0943146i \(-0.969934\pi\)
−0.637264 + 0.770645i \(0.719934\pi\)
\(240\) −7.02159 6.45959i −0.453241 0.416964i
\(241\) −5.67671 2.35137i −0.365669 0.151465i 0.192280 0.981340i \(-0.438412\pi\)
−0.557949 + 0.829875i \(0.688412\pi\)
\(242\) 2.75008 9.41784i 0.176782 0.605402i
\(243\) −0.773010 0.634393i −0.0495886 0.0406963i
\(244\) −15.8154 + 5.15966i −1.01248 + 0.330314i
\(245\) −6.46406 + 1.96085i −0.412974 + 0.125274i
\(246\) 8.87047 + 1.66859i 0.565560 + 0.106386i
\(247\) 0.857812 1.28381i 0.0545813 0.0816866i
\(248\) −4.10388 + 15.2259i −0.260597 + 0.966845i
\(249\) 3.47713 2.32334i 0.220354 0.147236i
\(250\) −5.42434 + 13.4913i −0.343065 + 0.853264i
\(251\) 0.538913 + 0.656667i 0.0340159 + 0.0414484i 0.789741 0.613441i \(-0.210215\pi\)
−0.755725 + 0.654889i \(0.772715\pi\)
\(252\) −4.02041 0.712990i −0.253262 0.0449141i
\(253\) 8.77043 4.68789i 0.551392 0.294725i
\(254\) −14.5424 + 12.1903i −0.912472 + 0.764889i
\(255\) −3.09937 −0.194090
\(256\) 12.2161 + 10.3328i 0.763506 + 0.645800i
\(257\) 17.0076 1.06090 0.530451 0.847716i \(-0.322023\pi\)
0.530451 + 0.847716i \(0.322023\pi\)
\(258\) 4.46240 3.74065i 0.277817 0.232883i
\(259\) 2.62597 1.40361i 0.163170 0.0872159i
\(260\) −10.7084 1.89906i −0.664109 0.117775i
\(261\) 2.80601 + 3.41913i 0.173688 + 0.211639i
\(262\) 9.30266 23.1373i 0.574720 1.42943i
\(263\) 7.66863 5.12402i 0.472868 0.315960i −0.296201 0.955126i \(-0.595720\pi\)
0.769070 + 0.639165i \(0.220720\pi\)
\(264\) 5.50442 + 1.48362i 0.338773 + 0.0913106i
\(265\) −6.51313 + 9.74759i −0.400099 + 0.598790i
\(266\) −1.92173 0.361489i −0.117829 0.0221643i
\(267\) −9.85098 + 2.98826i −0.602870 + 0.182879i
\(268\) 8.63086 2.81576i 0.527214 0.172000i
\(269\) 0.629886 + 0.516934i 0.0384048 + 0.0315180i 0.653400 0.757013i \(-0.273342\pi\)
−0.614995 + 0.788531i \(0.710842\pi\)
\(270\) −0.945519 + 3.23799i −0.0575425 + 0.197058i
\(271\) −9.81622 4.06601i −0.596293 0.246993i 0.0640624 0.997946i \(-0.479594\pi\)
−0.660355 + 0.750953i \(0.729594\pi\)
\(272\) 5.19310 0.216489i 0.314878 0.0131266i
\(273\) −4.30002 + 1.78113i −0.260249 + 0.107799i
\(274\) −1.01488 9.30916i −0.0613112 0.562387i
\(275\) 0.136179 + 1.38265i 0.00821189 + 0.0833767i
\(276\) −4.83198 8.60395i −0.290851 0.517897i
\(277\) −9.52208 + 17.8146i −0.572126 + 1.07037i 0.414908 + 0.909863i \(0.363814\pi\)
−0.987034 + 0.160510i \(0.948686\pi\)
\(278\) 9.59189 14.6841i 0.575284 0.880694i
\(279\) 5.46815 1.08768i 0.327370 0.0651178i
\(280\) 3.10778 + 13.4181i 0.185725 + 0.801887i
\(281\) 2.32655 11.6964i 0.138790 0.697747i −0.847244 0.531204i \(-0.821740\pi\)
0.986034 0.166542i \(-0.0532603\pi\)
\(282\) −14.7567 + 0.153710i −0.878747 + 0.00915329i
\(283\) 1.71295 17.3918i 0.101824 1.03384i −0.799493 0.600676i \(-0.794898\pi\)
0.901317 0.433161i \(-0.142602\pi\)
\(284\) −27.2773 + 11.9702i −1.61861 + 0.710303i
\(285\) −0.468939 + 1.54589i −0.0277776 + 0.0915703i
\(286\) 6.19851 1.95103i 0.366525 0.115367i
\(287\) −9.21365 9.21365i −0.543865 0.543865i
\(288\) 1.35808 5.49141i 0.0800255 0.323585i
\(289\) −10.8269 + 10.8269i −0.636877 + 0.636877i
\(290\) 6.89590 13.2310i 0.404941 0.776951i
\(291\) −12.3411 3.74363i −0.723447 0.219455i
\(292\) −10.0195 + 10.4459i −0.586349 + 0.611302i
\(293\) −1.00922 0.0993990i −0.0589590 0.00580695i 0.0684946 0.997651i \(-0.478180\pi\)
−0.127454 + 0.991845i \(0.540680\pi\)
\(294\) −2.86133 2.80234i −0.166876 0.163436i
\(295\) −20.3716 4.05217i −1.18608 0.235926i
\(296\) 1.69693 + 3.75996i 0.0986318 + 0.218543i
\(297\) −0.393216 1.97683i −0.0228167 0.114707i
\(298\) −4.04925 19.3039i −0.234567 1.11824i
\(299\) −9.92010 5.30241i −0.573694 0.306646i
\(300\) 1.36886 0.163677i 0.0790313 0.00944990i
\(301\) −8.36543 + 0.823923i −0.482175 + 0.0474901i
\(302\) −17.8270 + 22.1896i −1.02583 + 1.27687i
\(303\) 4.51880 + 10.9094i 0.259598 + 0.626726i
\(304\) 0.677745 2.62294i 0.0388713 0.150436i
\(305\) 7.59245 18.3298i 0.434742 1.04956i
\(306\) −0.883088 1.61154i −0.0504828 0.0921255i
\(307\) 0.0565020 0.0688478i 0.00322474 0.00392935i −0.771396 0.636356i \(-0.780441\pi\)
0.774620 + 0.632427i \(0.217941\pi\)
\(308\) −5.35232 6.25159i −0.304977 0.356217i
\(309\) −1.60019 5.27510i −0.0910314 0.300090i
\(310\) −10.6107 15.5275i −0.602648 0.881901i
\(311\) −12.9406 8.64666i −0.733796 0.490307i 0.131658 0.991295i \(-0.457970\pi\)
−0.865454 + 0.500988i \(0.832970\pi\)
\(312\) −2.06367 6.10901i −0.116832 0.345854i
\(313\) 15.0027 + 22.4532i 0.848005 + 1.26913i 0.961282 + 0.275566i \(0.0888651\pi\)
−0.113277 + 0.993563i \(0.536135\pi\)
\(314\) −11.9249 27.9619i −0.672962 1.57798i
\(315\) 3.76426 3.08925i 0.212092 0.174059i
\(316\) −10.6799 6.81867i −0.600794 0.383580i
\(317\) 11.8589 + 22.1864i 0.666062 + 1.24611i 0.957198 + 0.289432i \(0.0934665\pi\)
−0.291137 + 0.956681i \(0.594033\pi\)
\(318\) −6.92407 0.609214i −0.388283 0.0341630i
\(319\) 8.91508i 0.499149i
\(320\) −18.8360 + 3.05271i −1.05297 + 0.170651i
\(321\) 2.39006i 0.133400i
\(322\) −1.24856 + 14.1906i −0.0695795 + 0.790812i
\(323\) −0.414852 0.776134i −0.0230830 0.0431852i
\(324\) −1.95302 + 0.430956i −0.108501 + 0.0239420i
\(325\) 1.21475 0.996922i 0.0673824 0.0552993i
\(326\) −25.8264 + 11.0142i −1.43039 + 0.610019i
\(327\) −9.39926 14.0670i −0.519780 0.777906i
\(328\) 13.5898 11.8825i 0.750373 0.656102i
\(329\) 17.7137 + 11.8359i 0.976585 + 0.652533i
\(330\) −5.61344 + 3.83595i −0.309010 + 0.211162i
\(331\) −5.16241 17.0182i −0.283751 0.935403i −0.976735 0.214450i \(-0.931204\pi\)
0.692984 0.720953i \(-0.256296\pi\)
\(332\) 0.646237 8.33881i 0.0354669 0.457652i
\(333\) 0.925237 1.12741i 0.0507027 0.0617814i
\(334\) 21.5845 11.8278i 1.18105 0.647191i
\(335\) −4.14339 + 10.0030i −0.226378 + 0.546524i
\(336\) −6.09136 + 5.43907i −0.332311 + 0.296726i
\(337\) −8.27412 19.9755i −0.450720 1.08813i −0.972049 0.234779i \(-0.924563\pi\)
0.521329 0.853356i \(-0.325437\pi\)
\(338\) 8.60234 + 6.91107i 0.467906 + 0.375913i
\(339\) −16.8563 + 1.66020i −0.915510 + 0.0901699i
\(340\) −3.83178 + 4.87257i −0.207807 + 0.264252i
\(341\) 9.91040 + 5.29722i 0.536678 + 0.286861i
\(342\) −0.937405 + 0.196633i −0.0506891 + 0.0106327i
\(343\) 3.91599 + 19.6870i 0.211444 + 1.06300i
\(344\) −0.363842 11.6400i −0.0196170 0.627587i
\(345\) 11.5425 + 2.29594i 0.621427 + 0.123609i
\(346\) −2.12264 + 2.16733i −0.114114 + 0.116516i
\(347\) 17.7051 + 1.74380i 0.950461 + 0.0936122i 0.561350 0.827579i \(-0.310282\pi\)
0.389111 + 0.921191i \(0.372782\pi\)
\(348\) 8.84435 0.184271i 0.474107 0.00987795i
\(349\) 19.1039 + 5.79511i 1.02261 + 0.310205i 0.756679 0.653787i \(-0.226821\pi\)
0.265931 + 0.963992i \(0.414321\pi\)
\(350\) −1.76486 0.919831i −0.0943355 0.0491670i
\(351\) −1.61204 + 1.61204i −0.0860442 + 0.0860442i
\(352\) 9.13757 6.81936i 0.487034 0.363473i
\(353\) 5.11721 + 5.11721i 0.272361 + 0.272361i 0.830050 0.557689i \(-0.188312\pi\)
−0.557689 + 0.830050i \(0.688312\pi\)
\(354\) −3.69743 11.7469i −0.196516 0.624342i
\(355\) 10.3126 33.9961i 0.547336 1.80432i
\(356\) −7.48094 + 19.1813i −0.396489 + 1.01661i
\(357\) −0.260022 + 2.64005i −0.0137618 + 0.139726i
\(358\) −0.123748 11.8803i −0.00654030 0.627892i
\(359\) 1.84862 9.29362i 0.0975662 0.490498i −0.900845 0.434142i \(-0.857052\pi\)
0.998411 0.0563565i \(-0.0179483\pi\)
\(360\) 3.92155 + 5.48962i 0.206684 + 0.289328i
\(361\) 18.1850 3.61723i 0.957107 0.190380i
\(362\) −11.6137 7.58626i −0.610403 0.398725i
\(363\) −3.27033 + 6.11836i −0.171648 + 0.321130i
\(364\) −2.51601 + 8.96214i −0.131875 + 0.469744i
\(365\) −1.69201 17.1792i −0.0885637 0.899203i
\(366\) 11.6940 1.27487i 0.611253 0.0666386i
\(367\) 12.8204 5.31038i 0.669219 0.277200i −0.0220929 0.999756i \(-0.507033\pi\)
0.691312 + 0.722556i \(0.257033\pi\)
\(368\) −19.5002 3.04070i −1.01652 0.158507i
\(369\) −5.89655 2.44243i −0.306962 0.127148i
\(370\) −4.72249 1.37900i −0.245510 0.0716909i
\(371\) 7.75660 + 6.36567i 0.402702 + 0.330489i
\(372\) 5.05035 9.94127i 0.261848 0.515431i
\(373\) 17.6137 5.34306i 0.912003 0.276653i 0.200794 0.979634i \(-0.435648\pi\)
0.711209 + 0.702981i \(0.248148\pi\)
\(374\) 0.684710 3.64002i 0.0354055 0.188221i
\(375\) 5.71236 8.54916i 0.294985 0.441476i
\(376\) −18.0021 + 23.3892i −0.928389 + 1.20621i
\(377\) 8.38430 5.60221i 0.431814 0.288529i
\(378\) 2.67881 + 1.07705i 0.137783 + 0.0553973i
\(379\) 7.58167 + 9.23829i 0.389444 + 0.474539i 0.930418 0.366501i \(-0.119444\pi\)
−0.540974 + 0.841039i \(0.681944\pi\)
\(380\) 1.85056 + 2.64842i 0.0949315 + 0.135861i
\(381\) 11.8336 6.32520i 0.606255 0.324050i
\(382\) 2.42077 + 2.88785i 0.123858 + 0.147755i
\(383\) 8.84381 0.451898 0.225949 0.974139i \(-0.427452\pi\)
0.225949 + 0.974139i \(0.427452\pi\)
\(384\) −6.95413 8.92413i −0.354876 0.455408i
\(385\) 9.81497 0.500217
\(386\) 5.35925 + 6.39330i 0.272779 + 0.325410i
\(387\) −3.63120 + 1.94092i −0.184584 + 0.0986623i
\(388\) −21.1428 + 14.7733i −1.07336 + 0.750002i
\(389\) 2.11087 + 2.57211i 0.107026 + 0.130411i 0.823768 0.566927i \(-0.191868\pi\)
−0.716743 + 0.697338i \(0.754368\pi\)
\(390\) 7.13504 + 2.86873i 0.361297 + 0.145264i
\(391\) −5.33073 + 3.56188i −0.269586 + 0.180132i
\(392\) −7.94308 + 1.03379i −0.401186 + 0.0522143i
\(393\) −9.79661 + 14.6617i −0.494174 + 0.739583i
\(394\) 3.11674 16.5690i 0.157019 0.834735i
\(395\) 14.4610 4.38668i 0.727610 0.220718i
\(396\) −3.59394 1.82579i −0.180602 0.0917492i
\(397\) −16.2736 13.3554i −0.816747 0.670287i 0.130267 0.991479i \(-0.458417\pi\)
−0.947014 + 0.321192i \(0.895917\pi\)
\(398\) −8.18231 2.38930i −0.410142 0.119765i
\(399\) 1.27745 + 0.529136i 0.0639523 + 0.0264899i
\(400\) 1.43501 2.35436i 0.0717507 0.117718i
\(401\) −25.1296 + 10.4090i −1.25491 + 0.519801i −0.908344 0.418224i \(-0.862653\pi\)
−0.346567 + 0.938025i \(0.612653\pi\)
\(402\) −6.38170 + 0.695730i −0.318290 + 0.0346998i
\(403\) −1.24583 12.6491i −0.0620592 0.630098i
\(404\) 22.7374 + 6.38324i 1.13123 + 0.317578i
\(405\) 1.12439 2.10358i 0.0558713 0.104528i
\(406\) −10.6917 6.98396i −0.530618 0.346608i
\(407\) 2.88313 0.573489i 0.142911 0.0284268i
\(408\) −3.62529 0.604040i −0.179479 0.0299045i
\(409\) −6.84766 + 34.4255i −0.338595 + 1.70223i 0.318085 + 0.948062i \(0.396960\pi\)
−0.656680 + 0.754170i \(0.728040\pi\)
\(410\) 0.224242 + 21.5280i 0.0110745 + 1.06319i
\(411\) −0.649027 + 6.58969i −0.0320142 + 0.325045i
\(412\) −10.2714 4.00597i −0.506035 0.197360i
\(413\) −5.16073 + 17.0126i −0.253943 + 0.837137i
\(414\) 2.09495 + 6.65576i 0.102961 + 0.327113i
\(415\) 7.05325 + 7.05325i 0.346230 + 0.346230i
\(416\) −12.1554 4.30828i −0.595967 0.211231i
\(417\) −8.76965 + 8.76965i −0.429452 + 0.429452i
\(418\) −1.71195 0.892255i −0.0837340 0.0436416i
\(419\) −6.49854 1.97131i −0.317475 0.0963049i 0.127526 0.991835i \(-0.459296\pi\)
−0.445000 + 0.895530i \(0.646796\pi\)
\(420\) −0.202871 9.73711i −0.00989910 0.475122i
\(421\) −4.89233 0.481853i −0.238438 0.0234841i −0.0219076 0.999760i \(-0.506974\pi\)
−0.216530 + 0.976276i \(0.569474\pi\)
\(422\) 3.86951 3.95097i 0.188365 0.192330i
\(423\) 10.2346 + 2.03579i 0.497624 + 0.0989835i
\(424\) −9.51804 + 10.1323i −0.462237 + 0.492066i
\(425\) −0.174740 0.878477i −0.00847613 0.0426124i
\(426\) 20.6148 4.32423i 0.998790 0.209509i
\(427\) −14.9764 8.00504i −0.724758 0.387391i
\(428\) 3.75745 + 2.95485i 0.181623 + 0.142828i
\(429\) −4.57287 + 0.450389i −0.220780 + 0.0217450i
\(430\) 10.8274 + 8.69866i 0.522142 + 0.419486i
\(431\) 8.48833 + 20.4926i 0.408868 + 0.987095i 0.985436 + 0.170046i \(0.0543916\pi\)
−0.576568 + 0.817049i \(0.695608\pi\)
\(432\) −1.73702 + 3.60316i −0.0835723 + 0.173357i
\(433\) 14.2471 34.3955i 0.684672 1.65294i −0.0705781 0.997506i \(-0.522484\pi\)
0.755250 0.655437i \(-0.227516\pi\)
\(434\) −14.1165 + 7.73554i −0.677614 + 0.371318i
\(435\) −6.69297 + 8.15540i −0.320903 + 0.391022i
\(436\) −33.7353 2.61440i −1.61563 0.125207i
\(437\) 0.970025 + 3.19774i 0.0464026 + 0.152969i
\(438\) 8.45036 5.77456i 0.403774 0.275919i
\(439\) −6.83927 4.56985i −0.326421 0.218107i 0.381552 0.924348i \(-0.375390\pi\)
−0.707972 + 0.706240i \(0.750390\pi\)
\(440\) −0.909383 + 13.5674i −0.0433531 + 0.646800i
\(441\) 1.57337 + 2.35471i 0.0749223 + 0.112129i
\(442\) −3.85357 + 1.64343i −0.183296 + 0.0781701i
\(443\) 21.0794 17.2994i 1.00151 0.821920i 0.0174687 0.999847i \(-0.494439\pi\)
0.984044 + 0.177928i \(0.0569393\pi\)
\(444\) −0.628532 2.84840i −0.0298288 0.135179i
\(445\) −11.5747 21.6548i −0.548695 1.02654i
\(446\) −2.92156 + 33.2053i −0.138340 + 1.57232i
\(447\) 13.9470i 0.659669i
\(448\) 1.02005 + 16.3007i 0.0481927 + 0.770135i
\(449\) 20.3796i 0.961773i 0.876783 + 0.480887i \(0.159685\pi\)
−0.876783 + 0.480887i \(0.840315\pi\)
\(450\) −0.971075 0.0854399i −0.0457769 0.00402767i
\(451\) −6.06407 11.3451i −0.285546 0.534218i
\(452\) −18.2296 + 28.5526i −0.857447 + 1.34300i
\(453\) 15.5583 12.7683i 0.730992 0.599909i
\(454\) 16.5880 + 38.8960i 0.778511 + 1.82548i
\(455\) −6.16770 9.23062i −0.289146 0.432738i
\(456\) −0.849791 + 1.71681i −0.0397951 + 0.0803969i
\(457\) −7.29165 4.87212i −0.341089 0.227908i 0.373214 0.927745i \(-0.378256\pi\)
−0.714302 + 0.699837i \(0.753256\pi\)
\(458\) −3.81138 5.57748i −0.178094 0.260619i
\(459\) 0.377197 + 1.24345i 0.0176060 + 0.0580394i
\(460\) 17.8796 15.3076i 0.833639 0.713722i
\(461\) 2.03479 2.47940i 0.0947697 0.115477i −0.723466 0.690360i \(-0.757452\pi\)
0.818236 + 0.574883i \(0.194952\pi\)
\(462\) 2.79653 + 5.10336i 0.130106 + 0.237430i
\(463\) −6.41839 + 15.4954i −0.298288 + 0.720130i 0.701683 + 0.712489i \(0.252432\pi\)
−0.999971 + 0.00764102i \(0.997568\pi\)
\(464\) 10.6446 14.1322i 0.494165 0.656069i
\(465\) 5.08904 + 12.2860i 0.235999 + 0.569751i
\(466\) −24.4484 + 30.4314i −1.13255 + 1.40971i
\(467\) 25.8069 2.54176i 1.19420 0.117618i 0.518686 0.854965i \(-0.326421\pi\)
0.675515 + 0.737346i \(0.263921\pi\)
\(468\) 0.541335 + 4.52728i 0.0250232 + 0.209274i
\(469\) 8.17300 + 4.36856i 0.377394 + 0.201721i
\(470\) −7.22638 34.4502i −0.333328 1.58907i
\(471\) 4.19347 + 21.0820i 0.193225 + 0.971408i
\(472\) −23.0387 8.71002i −1.06044 0.400911i
\(473\) −8.13933 1.61901i −0.374247 0.0744424i
\(474\) 6.40117 + 6.26919i 0.294016 + 0.287954i
\(475\) −0.464599 0.0457591i −0.0213173 0.00209957i
\(476\) 3.82900 + 3.67270i 0.175502 + 0.168338i
\(477\) 4.70334 + 1.42674i 0.215351 + 0.0653260i
\(478\) 17.8587 34.2650i 0.816837 1.56725i
\(479\) 9.47205 9.47205i 0.432789 0.432789i −0.456787 0.889576i \(-0.651000\pi\)
0.889576 + 0.456787i \(0.151000\pi\)
\(480\) 13.4785 + 0.621737i 0.615209 + 0.0283783i
\(481\) −2.35109 2.35109i −0.107201 0.107201i
\(482\) 8.28864 2.60891i 0.377537 0.118833i
\(483\) 2.92405 9.63930i 0.133049 0.438603i
\(484\) 5.57563 + 12.7055i 0.253438 + 0.577523i
\(485\) 3.01509 30.6127i 0.136908 1.39005i
\(486\) 1.41414 0.0147301i 0.0641466 0.000668169i
\(487\) −3.13023 + 15.7367i −0.141844 + 0.713099i 0.842758 + 0.538292i \(0.180930\pi\)
−0.984603 + 0.174807i \(0.944070\pi\)
\(488\) 12.4531 19.9604i 0.563725 0.903564i
\(489\) 19.4719 3.87320i 0.880550 0.175152i
\(490\) 5.22429 7.99781i 0.236010 0.361304i
\(491\) 5.49651 10.2833i 0.248054 0.464077i −0.726822 0.686826i \(-0.759003\pi\)
0.974876 + 0.222750i \(0.0715033\pi\)
\(492\) −11.1297 + 6.25045i −0.501767 + 0.281792i
\(493\) −0.563348 5.71976i −0.0253719 0.257605i
\(494\) 0.236650 + 2.17071i 0.0106474 + 0.0976650i
\(495\) 4.44161 1.83977i 0.199635 0.0826917i
\(496\) −9.38503 20.2302i −0.421400 0.908362i
\(497\) −28.0927 11.6364i −1.26013 0.521964i
\(498\) −1.65774 + 5.67702i −0.0742849 + 0.254394i
\(499\) 15.7143 + 12.8964i 0.703469 + 0.577322i 0.916650 0.399691i \(-0.130882\pi\)
−0.213181 + 0.977013i \(0.568382\pi\)
\(500\) −6.37802 19.5499i −0.285234 0.874297i
\(501\) −16.6545 + 5.05208i −0.744066 + 0.225710i
\(502\) −1.18066 0.222089i −0.0526953 0.00991233i
\(503\) 7.61772 11.4007i 0.339657 0.508333i −0.621841 0.783143i \(-0.713615\pi\)
0.961498 + 0.274810i \(0.0886151\pi\)
\(504\) 5.00507 2.87983i 0.222943 0.128278i
\(505\) −23.4185 + 15.6478i −1.04211 + 0.696316i
\(506\) −5.24640 + 13.0487i −0.233231 + 0.580086i
\(507\) −4.94996 6.03154i −0.219835 0.267870i
\(508\) 4.68605 26.4237i 0.207910 1.17236i
\(509\) 13.2481 7.08127i 0.587213 0.313872i −0.150900 0.988549i \(-0.548217\pi\)
0.738113 + 0.674677i \(0.235717\pi\)
\(510\) 3.35909 2.81580i 0.148743 0.124686i
\(511\) −14.7753 −0.653619
\(512\) −22.6272 0.100274i −0.999990 0.00443154i
\(513\) 0.677271 0.0299023
\(514\) −18.4327 + 15.4515i −0.813034 + 0.681534i
\(515\) 11.5959 6.19815i 0.510978 0.273123i
\(516\) −1.43793 + 8.10823i −0.0633015 + 0.356945i
\(517\) 13.3429 + 16.2584i 0.586821 + 0.715043i
\(518\) −1.57083 + 3.90693i −0.0690183 + 0.171661i
\(519\) 1.78359 1.19175i 0.0782908 0.0523122i
\(520\) 13.3311 7.67047i 0.584607 0.336372i
\(521\) 20.9054 31.2872i 0.915884 1.37072i −0.0128285 0.999918i \(-0.504084\pi\)
0.928713 0.370800i \(-0.120916\pi\)
\(522\) −6.14744 1.15637i −0.269066 0.0506131i
\(523\) −28.9348 + 8.77727i −1.26523 + 0.383803i −0.850420 0.526105i \(-0.823652\pi\)
−0.414810 + 0.909908i \(0.636152\pi\)
\(524\) 10.9382 + 33.5277i 0.477837 + 1.46467i
\(525\) 1.08783 + 0.892761i 0.0474769 + 0.0389633i
\(526\) −3.65605 + 12.5204i −0.159411 + 0.545915i
\(527\) −6.69308 2.77236i −0.291555 0.120766i
\(528\) −7.31355 + 3.39285i −0.318282 + 0.147655i
\(529\) 1.24170 0.514328i 0.0539869 0.0223621i
\(530\) −1.79682 16.4816i −0.0780489 0.715916i
\(531\) 0.853541 + 8.66614i 0.0370405 + 0.376079i
\(532\) 2.41118 1.35412i 0.104538 0.0587085i
\(533\) −6.85898 + 12.8322i −0.297095 + 0.555826i
\(534\) 7.96162 12.1883i 0.344533 0.527441i
\(535\) −5.59130 + 1.11218i −0.241733 + 0.0480837i
\(536\) −6.79597 + 10.8929i −0.293541 + 0.470501i
\(537\) −1.63897 + 8.23965i −0.0707267 + 0.355567i
\(538\) −1.15231 + 0.0120028i −0.0496795 + 0.000517476i
\(539\) −0.559485 + 5.68054i −0.0240987 + 0.244678i
\(540\) −1.91698 4.36834i −0.0824938 0.187983i
\(541\) −0.412556 + 1.36002i −0.0177372 + 0.0584716i −0.965362 0.260913i \(-0.915976\pi\)
0.947625 + 0.319385i \(0.103476\pi\)
\(542\) 14.3328 4.51135i 0.615646 0.193779i
\(543\) 6.93595 + 6.93595i 0.297650 + 0.297650i
\(544\) −5.43159 + 4.95259i −0.232878 + 0.212341i
\(545\) 28.5344 28.5344i 1.22228 1.22228i
\(546\) 3.04219 5.83697i 0.130194 0.249799i
\(547\) 30.1818 + 9.15554i 1.29048 + 0.391462i 0.859609 0.510952i \(-0.170707\pi\)
0.430869 + 0.902414i \(0.358207\pi\)
\(548\) 9.55735 + 9.16722i 0.408270 + 0.391604i
\(549\) −8.27782 0.815295i −0.353289 0.0347959i
\(550\) −1.40373 1.37479i −0.0598553 0.0586212i
\(551\) −2.93810 0.584425i −0.125167 0.0248973i
\(552\) 13.0536 + 4.93506i 0.555599 + 0.210050i
\(553\) −2.52338 12.6859i −0.107305 0.539459i
\(554\) −5.86461 27.9582i −0.249164 1.18783i
\(555\) 3.06799 + 1.63988i 0.130229 + 0.0696088i
\(556\) 2.94492 + 24.6289i 0.124892 + 1.04450i
\(557\) −21.2870 + 2.09659i −0.901960 + 0.0888353i −0.538355 0.842718i \(-0.680954\pi\)
−0.363605 + 0.931553i \(0.618454\pi\)
\(558\) −4.93820 + 6.14667i −0.209051 + 0.260209i
\(559\) 3.59211 + 8.67213i 0.151930 + 0.366792i
\(560\) −15.5587 11.7191i −0.657473 0.495223i
\(561\) −1.00226 + 2.41966i −0.0423153 + 0.102158i
\(562\) 8.10470 + 14.7902i 0.341876 + 0.623886i
\(563\) −10.6132 + 12.9322i −0.447292 + 0.545027i −0.947028 0.321151i \(-0.895930\pi\)
0.499736 + 0.866178i \(0.333430\pi\)
\(564\) 15.8536 13.5731i 0.667558 0.571531i
\(565\) −11.7277 38.6611i −0.493388 1.62648i
\(566\) 13.9441 + 20.4054i 0.586113 + 0.857705i
\(567\) −1.69750 1.13424i −0.0712885 0.0476334i
\(568\) 18.6880 37.7549i 0.784132 1.58416i
\(569\) 4.05247 + 6.06495i 0.169888 + 0.254256i 0.906638 0.421910i \(-0.138640\pi\)
−0.736749 + 0.676166i \(0.763640\pi\)
\(570\) −0.896210 2.10146i −0.0375381 0.0880205i
\(571\) 19.2534 15.8008i 0.805729 0.661245i −0.138563 0.990354i \(-0.544248\pi\)
0.944292 + 0.329109i \(0.106748\pi\)
\(572\) −4.94541 + 7.74590i −0.206778 + 0.323872i
\(573\) −1.25607 2.34994i −0.0524730 0.0981700i
\(574\) 18.3564 + 1.61508i 0.766181 + 0.0674123i
\(575\) 3.40101i 0.141832i
\(576\) 3.51710 + 7.18540i 0.146546 + 0.299392i
\(577\) 37.5944i 1.56507i 0.622604 + 0.782537i \(0.286075\pi\)
−0.622604 + 0.782537i \(0.713925\pi\)
\(578\) 1.89787 21.5705i 0.0789412 0.897213i
\(579\) −2.78076 5.20243i −0.115564 0.216206i
\(580\) 4.54667 + 20.6047i 0.188790 + 0.855563i
\(581\) 6.59970 5.41624i 0.273802 0.224703i
\(582\) 16.7763 7.15461i 0.695402 0.296568i
\(583\) 5.50371 + 8.23688i 0.227940 + 0.341137i
\(584\) 1.36897 20.4241i 0.0566483 0.845154i
\(585\) −4.52133 3.02106i −0.186934 0.124905i
\(586\) 1.18409 0.809149i 0.0489143 0.0334256i
\(587\) −3.43548 11.3253i −0.141797 0.467443i 0.857061 0.515215i \(-0.172288\pi\)
−0.998858 + 0.0477719i \(0.984788\pi\)
\(588\) 5.64704 + 0.437632i 0.232880 + 0.0180476i
\(589\) −2.39545 + 2.91887i −0.0987029 + 0.120270i
\(590\) 25.7601 14.1160i 1.06053 0.581147i
\(591\) −4.56217 + 11.0141i −0.187663 + 0.453058i
\(592\) −5.25507 2.53337i −0.215982 0.104121i
\(593\) 9.66916 + 23.3434i 0.397065 + 0.958599i 0.988359 + 0.152143i \(0.0486173\pi\)
−0.591294 + 0.806456i \(0.701383\pi\)
\(594\) 2.22213 + 1.78524i 0.0911749 + 0.0732494i
\(595\) −6.29712 + 0.620212i −0.258157 + 0.0254262i
\(596\) 21.9263 + 17.2428i 0.898134 + 0.706291i
\(597\) 5.31568 + 2.84129i 0.217556 + 0.116286i
\(598\) 15.5686 3.26573i 0.636649 0.133546i
\(599\) 0.831567 + 4.18057i 0.0339769 + 0.170813i 0.994048 0.108943i \(-0.0347465\pi\)
−0.960071 + 0.279756i \(0.909746\pi\)
\(600\) −1.33487 + 1.42101i −0.0544958 + 0.0580125i
\(601\) −22.9442 4.56389i −0.935914 0.186165i −0.296505 0.955031i \(-0.595821\pi\)
−0.639410 + 0.768866i \(0.720821\pi\)
\(602\) 8.31790 8.49300i 0.339012 0.346149i
\(603\) 4.51742 + 0.444927i 0.183964 + 0.0181188i
\(604\) −0.838498 40.2450i −0.0341180 1.63755i
\(605\) −15.8351 4.80351i −0.643786 0.195290i
\(606\) −14.8087 7.71818i −0.601561 0.313530i
\(607\) −13.0111 + 13.0111i −0.528104 + 0.528104i −0.920007 0.391902i \(-0.871817\pi\)
0.391902 + 0.920007i \(0.371817\pi\)
\(608\) 1.64842 + 3.45847i 0.0668521 + 0.140259i
\(609\) 6.38528 + 6.38528i 0.258745 + 0.258745i
\(610\) 8.42404 + 26.7636i 0.341079 + 1.08363i
\(611\) 6.90576 22.7652i 0.279377 0.920983i
\(612\) 2.42118 + 0.944291i 0.0978704 + 0.0381707i
\(613\) 0.0488905 0.496393i 0.00197467 0.0200491i −0.994147 0.108037i \(-0.965544\pi\)
0.996122 + 0.0879876i \(0.0280436\pi\)
\(614\) 0.00131193 + 0.125949i 5.29450e−5 + 0.00508291i
\(615\) 2.96994 14.9309i 0.119760 0.602072i
\(616\) 11.4804 + 1.91285i 0.462560 + 0.0770710i
\(617\) 8.14754 1.62065i 0.328008 0.0652448i −0.0283396 0.999598i \(-0.509022\pi\)
0.356347 + 0.934354i \(0.384022\pi\)
\(618\) 6.52674 + 4.26337i 0.262544 + 0.171498i
\(619\) −22.3380 + 41.7914i −0.897840 + 1.67974i −0.179841 + 0.983696i \(0.557558\pi\)
−0.717999 + 0.696044i \(0.754942\pi\)
\(620\) 25.6067 + 7.18875i 1.02839 + 0.288707i
\(621\) −0.483613 4.91021i −0.0194067 0.197040i
\(622\) 21.8806 2.38541i 0.877331 0.0956462i
\(623\) −19.4167 + 8.04264i −0.777912 + 0.322222i
\(624\) 7.78666 + 4.74607i 0.311716 + 0.189995i
\(625\) 25.8422 + 10.7042i 1.03369 + 0.428167i
\(626\) −36.6588 10.7046i −1.46518 0.427844i
\(627\) 1.05522 + 0.865997i 0.0421414 + 0.0345846i
\(628\) 38.3278 + 19.4712i 1.52944 + 0.776987i
\(629\) −1.81353 + 0.550127i −0.0723100 + 0.0219350i
\(630\) −1.27310 + 6.76797i −0.0507214 + 0.269642i
\(631\) 4.23687 6.34093i 0.168667 0.252428i −0.737501 0.675346i \(-0.763994\pi\)
0.906168 + 0.422918i \(0.138994\pi\)
\(632\) 17.7697 2.31273i 0.706841 0.0919953i
\(633\) −3.25142 + 2.17253i −0.129232 + 0.0863504i
\(634\) −33.0091 13.2717i −1.31096 0.527088i
\(635\) 20.3037 + 24.7402i 0.805730 + 0.981784i
\(636\) 8.05777 5.63029i 0.319511 0.223256i
\(637\) 5.69392 3.04346i 0.225601 0.120586i
\(638\) −8.09940 9.66215i −0.320658 0.382528i
\(639\) −14.8941 −0.589201
\(640\) 17.6411 20.4212i 0.697324 0.807217i
\(641\) −29.3557 −1.15948 −0.579740 0.814801i \(-0.696846\pi\)
−0.579740 + 0.814801i \(0.696846\pi\)
\(642\) −2.17138 2.59034i −0.0856977 0.102233i
\(643\) −8.03090 + 4.29260i −0.316708 + 0.169284i −0.622089 0.782946i \(-0.713716\pi\)
0.305382 + 0.952230i \(0.401216\pi\)
\(644\) −11.5391 16.5141i −0.454703 0.650746i
\(645\) −6.23029 7.59163i −0.245317 0.298920i
\(646\) 1.15474 + 0.464277i 0.0454325 + 0.0182667i
\(647\) 25.8065 17.2434i 1.01456 0.677907i 0.0670877 0.997747i \(-0.478629\pi\)
0.947471 + 0.319840i \(0.103629\pi\)
\(648\) 1.72515 2.24140i 0.0677703 0.0880504i
\(649\) −9.75116 + 14.5936i −0.382766 + 0.572850i
\(650\) −0.410838 + 2.18407i −0.0161144 + 0.0856663i
\(651\) 10.8922 3.30411i 0.426899 0.129498i
\(652\) 17.9841 35.4005i 0.704313 1.38639i
\(653\) 8.72044 + 7.15668i 0.341257 + 0.280062i 0.789374 0.613912i \(-0.210405\pi\)
−0.448117 + 0.893975i \(0.647905\pi\)
\(654\) 22.9668 + 6.70649i 0.898074 + 0.262245i
\(655\) −38.8581 16.0956i −1.51831 0.628906i
\(656\) −3.93332 + 25.2247i −0.153570 + 0.984858i
\(657\) −6.68630 + 2.76956i −0.260858 + 0.108051i
\(658\) −29.9510 + 3.26524i −1.16761 + 0.127292i
\(659\) 0.0329596 + 0.334644i 0.00128392 + 0.0130359i 0.995805 0.0914971i \(-0.0291652\pi\)
−0.994521 + 0.104533i \(0.966665\pi\)
\(660\) 2.59885 9.25724i 0.101160 0.360337i
\(661\) −22.4908 + 42.0774i −0.874793 + 1.63662i −0.108531 + 0.994093i \(0.534615\pi\)
−0.766262 + 0.642529i \(0.777885\pi\)
\(662\) 21.0561 + 13.7542i 0.818369 + 0.534572i
\(663\) 2.90542 0.577923i 0.112837 0.0224447i
\(664\) 6.87546 + 9.62470i 0.266820 + 0.373511i
\(665\) −0.643417 + 3.23468i −0.0249507 + 0.125435i
\(666\) 0.0214832 + 2.06246i 0.000832457 + 0.0799188i
\(667\) −2.13909 + 21.7185i −0.0828258 + 0.840944i
\(668\) −12.6476 + 32.4286i −0.489350 + 1.25470i
\(669\) 6.84212 22.5554i 0.264532 0.872044i
\(670\) −4.59721 14.6056i −0.177606 0.564262i
\(671\) −11.8548 11.8548i −0.457648 0.457648i
\(672\) 1.66038 11.4289i 0.0640506 0.440879i
\(673\) −0.279123 + 0.279123i −0.0107594 + 0.0107594i −0.712466 0.701707i \(-0.752422\pi\)
0.701707 + 0.712466i \(0.252422\pi\)
\(674\) 27.1153 + 14.1323i 1.04444 + 0.544357i
\(675\) 0.659625 + 0.200095i 0.0253890 + 0.00770166i
\(676\) −15.6019 + 0.325064i −0.600075 + 0.0125025i
\(677\) −7.67266 0.755691i −0.294884 0.0290436i −0.0505067 0.998724i \(-0.516084\pi\)
−0.244378 + 0.969680i \(0.578584\pi\)
\(678\) 16.7605 17.1134i 0.643685 0.657236i
\(679\) −25.8230 5.13652i −0.990996 0.197121i
\(680\) −0.273884 8.76207i −0.0105030 0.336010i
\(681\) −5.83326 29.3258i −0.223531 1.12377i
\(682\) −15.5534 + 3.26254i −0.595571 + 0.124929i
\(683\) −29.0987 15.5536i −1.11343 0.595142i −0.191112 0.981568i \(-0.561209\pi\)
−0.922320 + 0.386426i \(0.873709\pi\)
\(684\) 0.837315 1.06475i 0.0320156 0.0407117i
\(685\) −15.7179 + 1.54808i −0.600550 + 0.0591490i
\(686\) −22.1299 17.7790i −0.844923 0.678807i
\(687\) 1.82799 + 4.41315i 0.0697421 + 0.168372i
\(688\) 10.9693 + 12.2849i 0.418202 + 0.468356i
\(689\) 4.28797 10.3521i 0.163358 0.394382i
\(690\) −14.5956 + 7.99808i −0.555645 + 0.304482i
\(691\) 11.7794 14.3532i 0.448108 0.546022i −0.499140 0.866521i \(-0.666351\pi\)
0.947249 + 0.320499i \(0.103851\pi\)
\(692\) 0.331486 4.27738i 0.0126012 0.162601i
\(693\) −1.19449 3.93772i −0.0453750 0.149581i
\(694\) −20.7730 + 14.1953i −0.788533 + 0.538845i
\(695\) −24.5965 16.4349i −0.932999 0.623410i
\(696\) −9.41808 + 8.23486i −0.356991 + 0.312141i
\(697\) 4.60750 + 6.89561i 0.174522 + 0.261190i
\(698\) −25.9697 + 11.0753i −0.982967 + 0.419206i
\(699\) 21.3370 17.5108i 0.807040 0.662321i
\(700\) 2.74842 0.606471i 0.103880 0.0229224i
\(701\) 7.43403 + 13.9081i 0.280780 + 0.525302i 0.982292 0.187355i \(-0.0599916\pi\)
−0.701513 + 0.712657i \(0.747492\pi\)
\(702\) 0.282578 3.21167i 0.0106652 0.121217i
\(703\) 0.987774i 0.0372546i
\(704\) −3.70786 + 15.6923i −0.139745 + 0.591428i
\(705\) 24.8901i 0.937416i
\(706\) −10.1950 0.897008i −0.383695 0.0337593i
\(707\) 11.3641 + 21.2607i 0.427391 + 0.799592i
\(708\) 14.6794 + 9.37215i 0.551686 + 0.352227i
\(709\) 33.3091 27.3361i 1.25095 1.02663i 0.252697 0.967545i \(-0.418682\pi\)
0.998253 0.0590830i \(-0.0188177\pi\)
\(710\) 19.7088 + 46.2139i 0.739660 + 1.73438i
\(711\) −3.51983 5.26780i −0.132004 0.197558i
\(712\) −9.31846 27.5851i −0.349224 1.03380i
\(713\) 22.8722 + 15.2827i 0.856572 + 0.572343i
\(714\) −2.11669 3.09751i −0.0792151 0.115922i
\(715\) −3.18155 10.4882i −0.118983 0.392235i
\(716\) 10.9274 + 12.7634i 0.408377 + 0.476990i
\(717\) −17.3331 + 21.1205i −0.647318 + 0.788759i
\(718\) 6.43978 + 11.7519i 0.240330 + 0.438576i
\(719\) −2.98195 + 7.19908i −0.111208 + 0.268480i −0.969679 0.244382i \(-0.921415\pi\)
0.858471 + 0.512862i \(0.171415\pi\)
\(720\) −9.23751 2.38689i −0.344262 0.0889543i
\(721\) −4.30676 10.3974i −0.160392 0.387221i
\(722\) −16.4226 + 20.4416i −0.611187 + 0.760756i
\(723\) −6.11484 + 0.602259i −0.227413 + 0.0223983i
\(724\) 19.4791 2.32915i 0.723934 0.0865620i
\(725\) −2.68889 1.43724i −0.0998627 0.0533777i
\(726\) −2.01418 9.60218i −0.0747534 0.356370i
\(727\) 6.69139 + 33.6399i 0.248170 + 1.24763i 0.880915 + 0.473274i \(0.156928\pi\)
−0.632745 + 0.774360i \(0.718072\pi\)
\(728\) −5.41531 11.9990i −0.200705 0.444711i
\(729\) −0.980785 0.195090i −0.0363254 0.00722557i
\(730\) 17.4412 + 17.0816i 0.645529 + 0.632220i
\(731\) 5.32436 + 0.524404i 0.196929 + 0.0193958i
\(732\) −11.5157 + 12.0057i −0.425631 + 0.443745i
\(733\) −22.6194 6.86151i −0.835466 0.253436i −0.156567 0.987667i \(-0.550043\pi\)
−0.678899 + 0.734232i \(0.737543\pi\)
\(734\) −9.07021 + 17.4028i −0.334788 + 0.642348i
\(735\) −4.77646 + 4.77646i −0.176182 + 0.176182i
\(736\) 23.8968 14.4205i 0.880847 0.531548i
\(737\) 6.46944 + 6.46944i 0.238305 + 0.238305i
\(738\) 8.60962 2.70994i 0.316925 0.0997544i
\(739\) −2.93218 + 9.66611i −0.107862 + 0.355574i −0.994211 0.107444i \(-0.965733\pi\)
0.886349 + 0.463018i \(0.153233\pi\)
\(740\) 6.37105 2.79584i 0.234205 0.102777i
\(741\) 0.151340 1.53659i 0.00555963 0.0564479i
\(742\) −14.1898 + 0.147805i −0.520925 + 0.00542611i
\(743\) −4.87900 + 24.5284i −0.178993 + 0.899860i 0.781998 + 0.623281i \(0.214201\pi\)
−0.960991 + 0.276579i \(0.910799\pi\)
\(744\) 3.55814 + 15.3626i 0.130448 + 0.563220i
\(745\) −32.6275 + 6.49001i −1.19538 + 0.237776i
\(746\) −14.2355 + 21.7929i −0.521198 + 0.797896i
\(747\) 1.97134 3.68811i 0.0721275 0.134941i
\(748\) 2.56489 + 4.56710i 0.0937816 + 0.166990i
\(749\) 0.478273 + 4.85598i 0.0174757 + 0.177434i
\(750\) 1.57591 + 14.4553i 0.0575440 + 0.527832i
\(751\) 28.4472 11.7832i 1.03805 0.429976i 0.202441 0.979295i \(-0.435113\pi\)
0.835613 + 0.549319i \(0.185113\pi\)
\(752\) −1.73856 41.7042i −0.0633986 1.52080i
\(753\) 0.784829 + 0.325087i 0.0286008 + 0.0118468i
\(754\) −3.99725 + 13.6889i −0.145571 + 0.498519i
\(755\) 37.1100 + 30.4554i 1.35057 + 1.10839i
\(756\) −3.88179 + 1.26641i −0.141179 + 0.0460588i
\(757\) −15.5544 + 4.71838i −0.565335 + 0.171493i −0.559999 0.828493i \(-0.689199\pi\)
−0.00533603 + 0.999986i \(0.501699\pi\)
\(758\) −16.6100 3.12445i −0.603303 0.113485i
\(759\) 5.52497 8.26870i 0.200544 0.300135i
\(760\) −4.41173 1.18911i −0.160030 0.0431334i
\(761\) 29.5964 19.7757i 1.07287 0.716867i 0.111953 0.993713i \(-0.464289\pi\)
0.960914 + 0.276846i \(0.0892892\pi\)
\(762\) −7.07878 + 17.6062i −0.256437 + 0.637804i
\(763\) −21.9118 26.6996i −0.793260 0.966590i
\(764\) −5.24726 0.930562i −0.189839 0.0336666i
\(765\) −2.73340 + 1.46103i −0.0988264 + 0.0528238i
\(766\) −9.58490 + 8.03465i −0.346317 + 0.290304i
\(767\) 19.8524 0.716828
\(768\) 15.6445 + 3.35409i 0.564522 + 0.121030i
\(769\) 43.6197 1.57297 0.786484 0.617611i \(-0.211899\pi\)
0.786484 + 0.617611i \(0.211899\pi\)
\(770\) −10.6374 + 8.91696i −0.383347 + 0.321345i
\(771\) 14.9993 8.01730i 0.540187 0.288736i
\(772\) −11.6167 2.06013i −0.418094 0.0741458i
\(773\) −24.3449 29.6643i −0.875624 1.06695i −0.997231