Properties

Label 770.2.bv.a.157.5
Level $770$
Weight $2$
Character 770.157
Analytic conductor $6.148$
Analytic rank $0$
Dimension $768$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.bv (of order \(60\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(768\)
Relative dimension: \(48\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 157.5
Character \(\chi\) \(=\) 770.157
Dual form 770.2.bv.a.103.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.358368 - 0.933580i) q^{2} +(-1.20315 - 1.85269i) q^{3} +(-0.743145 + 0.669131i) q^{4} +(1.76974 + 1.36676i) q^{5} +(-1.29847 + 1.78719i) q^{6} +(-2.10275 - 1.60576i) q^{7} +(0.891007 + 0.453990i) q^{8} +(-0.764685 + 1.71751i) q^{9} +O(q^{10})\) \(q+(-0.358368 - 0.933580i) q^{2} +(-1.20315 - 1.85269i) q^{3} +(-0.743145 + 0.669131i) q^{4} +(1.76974 + 1.36676i) q^{5} +(-1.29847 + 1.78719i) q^{6} +(-2.10275 - 1.60576i) q^{7} +(0.891007 + 0.453990i) q^{8} +(-0.764685 + 1.71751i) q^{9} +(0.641764 - 2.14199i) q^{10} +(1.56086 - 2.92638i) q^{11} +(2.13381 + 0.571753i) q^{12} +(-2.41173 - 0.381981i) q^{13} +(-0.745547 + 2.53853i) q^{14} +(0.402924 - 4.92320i) q^{15} +(0.104528 - 0.994522i) q^{16} +(-0.578715 + 1.50761i) q^{17} +(1.87747 + 0.0983942i) q^{18} +(2.01746 - 2.24061i) q^{19} +(-2.22971 + 0.168484i) q^{20} +(-0.445051 + 5.82772i) q^{21} +(-3.29138 - 0.408465i) q^{22} +(-8.98774 - 2.40826i) q^{23} +(-0.230912 - 2.19698i) q^{24} +(1.26393 + 4.83761i) q^{25} +(0.507678 + 2.38844i) q^{26} +(-2.44360 + 0.387029i) q^{27} +(2.63711 - 0.213701i) q^{28} +(-6.48616 - 2.10748i) q^{29} +(-4.74060 + 1.38816i) q^{30} +(5.72407 - 0.601624i) q^{31} +(-0.965926 + 0.258819i) q^{32} +(-7.29964 + 0.629096i) q^{33} +1.61486 q^{34} +(-1.52662 - 5.71572i) q^{35} +(-0.580967 - 1.78803i) q^{36} +(-3.42202 - 2.22229i) q^{37} +(-2.81479 - 1.08050i) q^{38} +(2.19399 + 4.92779i) q^{39} +(0.956350 + 2.02124i) q^{40} +(-1.53405 + 0.498443i) q^{41} +(5.60013 - 1.67298i) q^{42} +(-4.77141 + 4.77141i) q^{43} +(0.798189 + 3.21914i) q^{44} +(-3.70072 + 1.99440i) q^{45} +(0.972616 + 9.25382i) q^{46} +(-0.165558 - 3.15903i) q^{47} +(-1.96831 + 1.00290i) q^{48} +(1.84308 + 6.75300i) q^{49} +(4.06335 - 2.91363i) q^{50} +(3.48941 - 0.741698i) q^{51} +(2.04786 - 1.32990i) q^{52} +(9.74868 + 7.89433i) q^{53} +(1.23703 + 2.14260i) q^{54} +(6.76197 - 3.04561i) q^{55} +(-1.14456 - 2.38537i) q^{56} +(-6.57848 - 1.04193i) q^{57} +(0.356928 + 6.81060i) q^{58} +(-0.346252 - 0.384552i) q^{59} +(2.99483 + 3.92826i) q^{60} +(-6.65475 - 0.699442i) q^{61} +(-2.61299 - 5.12828i) q^{62} +(4.36585 - 2.38359i) q^{63} +(0.587785 + 0.809017i) q^{64} +(-3.74606 - 3.97227i) q^{65} +(3.20327 + 6.58936i) q^{66} +(-3.51597 + 0.942102i) q^{67} +(-0.578715 - 1.50761i) q^{68} +(6.35186 + 19.5490i) q^{69} +(-4.78899 + 3.47355i) q^{70} +(0.855960 + 0.621891i) q^{71} +(-1.46107 + 1.18315i) q^{72} +(0.531945 - 10.1501i) q^{73} +(-0.848340 + 3.99113i) q^{74} +(7.44190 - 8.16207i) q^{75} +3.01504i q^{76} +(-7.98115 + 3.64708i) q^{77} +(3.81423 - 3.81423i) q^{78} +(-2.67025 + 5.99747i) q^{79} +(1.54426 - 1.61718i) q^{80} +(7.43107 + 8.25304i) q^{81} +(1.01509 + 1.25353i) q^{82} +(0.546687 + 3.45164i) q^{83} +(-3.56877 - 4.62863i) q^{84} +(-3.08471 + 1.87710i) q^{85} +(6.16442 + 2.74458i) q^{86} +(3.89932 + 14.5525i) q^{87} +(2.71929 - 1.89881i) q^{88} +(-5.21581 - 9.03406i) q^{89} +(3.18815 + 2.74019i) q^{90} +(4.45790 + 4.67587i) q^{91} +(8.29063 - 4.22429i) q^{92} +(-8.00156 - 9.88111i) q^{93} +(-2.88988 + 1.28666i) q^{94} +(6.63275 - 1.20791i) q^{95} +(1.64167 + 1.47817i) q^{96} +(0.833505 - 5.26254i) q^{97} +(5.64397 - 4.14073i) q^{98} +(3.83253 + 4.91855i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 768 q + 24 q^{5} + 4 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 768 q + 24 q^{5} + 4 q^{7} + 24 q^{10} + 12 q^{11} - 24 q^{15} - 96 q^{16} + 8 q^{22} + 8 q^{23} + 16 q^{25} - 24 q^{26} - 28 q^{28} - 16 q^{30} + 252 q^{33} - 40 q^{35} + 160 q^{36} - 8 q^{37} - 44 q^{42} + 80 q^{43} + 96 q^{45} - 8 q^{46} - 24 q^{47} + 64 q^{50} - 8 q^{51} + 40 q^{53} + 16 q^{56} + 64 q^{57} - 48 q^{58} - 164 q^{63} - 88 q^{65} + 32 q^{67} - 100 q^{70} + 32 q^{71} + 120 q^{73} - 336 q^{75} - 96 q^{77} - 36 q^{80} - 24 q^{81} + 48 q^{82} - 112 q^{85} - 24 q^{87} + 4 q^{88} - 12 q^{91} - 16 q^{92} - 88 q^{93} - 44 q^{95} + 32 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(e\left(\frac{4}{5}\right)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.358368 0.933580i −0.253404 0.660141i
\(3\) −1.20315 1.85269i −0.694641 1.06965i −0.993330 0.115303i \(-0.963216\pi\)
0.298690 0.954350i \(-0.403450\pi\)
\(4\) −0.743145 + 0.669131i −0.371572 + 0.334565i
\(5\) 1.76974 + 1.36676i 0.791450 + 0.611234i
\(6\) −1.29847 + 1.78719i −0.530097 + 0.729616i
\(7\) −2.10275 1.60576i −0.794763 0.606919i
\(8\) 0.891007 + 0.453990i 0.315018 + 0.160510i
\(9\) −0.764685 + 1.71751i −0.254895 + 0.572504i
\(10\) 0.641764 2.14199i 0.202944 0.677358i
\(11\) 1.56086 2.92638i 0.470617 0.882338i
\(12\) 2.13381 + 0.571753i 0.615978 + 0.165051i
\(13\) −2.41173 0.381981i −0.668895 0.105943i −0.187254 0.982311i \(-0.559959\pi\)
−0.481640 + 0.876369i \(0.659959\pi\)
\(14\) −0.745547 + 2.53853i −0.199256 + 0.678452i
\(15\) 0.402924 4.92320i 0.104035 1.27116i
\(16\) 0.104528 0.994522i 0.0261321 0.248630i
\(17\) −0.578715 + 1.50761i −0.140359 + 0.365648i −0.985684 0.168605i \(-0.946074\pi\)
0.845325 + 0.534253i \(0.179407\pi\)
\(18\) 1.87747 + 0.0983942i 0.442525 + 0.0231917i
\(19\) 2.01746 2.24061i 0.462837 0.514032i −0.465867 0.884855i \(-0.654258\pi\)
0.928704 + 0.370823i \(0.120924\pi\)
\(20\) −2.22971 + 0.168484i −0.498579 + 0.0376741i
\(21\) −0.445051 + 5.82772i −0.0971181 + 1.27171i
\(22\) −3.29138 0.408465i −0.701724 0.0870850i
\(23\) −8.98774 2.40826i −1.87407 0.502156i −0.999862 0.0166109i \(-0.994712\pi\)
−0.874211 0.485546i \(-0.838621\pi\)
\(24\) −0.230912 2.19698i −0.0471347 0.448457i
\(25\) 1.26393 + 4.83761i 0.252786 + 0.967522i
\(26\) 0.507678 + 2.38844i 0.0995639 + 0.468411i
\(27\) −2.44360 + 0.387029i −0.470272 + 0.0744837i
\(28\) 2.63711 0.213701i 0.498366 0.0403858i
\(29\) −6.48616 2.10748i −1.20445 0.391349i −0.363053 0.931768i \(-0.618266\pi\)
−0.841396 + 0.540419i \(0.818266\pi\)
\(30\) −4.74060 + 1.38816i −0.865511 + 0.253441i
\(31\) 5.72407 0.601624i 1.02807 0.108055i 0.424554 0.905403i \(-0.360431\pi\)
0.603520 + 0.797348i \(0.293764\pi\)
\(32\) −0.965926 + 0.258819i −0.170753 + 0.0457532i
\(33\) −7.29964 + 0.629096i −1.27070 + 0.109512i
\(34\) 1.61486 0.276947
\(35\) −1.52662 5.71572i −0.258046 0.966133i
\(36\) −0.580967 1.78803i −0.0968279 0.298006i
\(37\) −3.42202 2.22229i −0.562577 0.365342i 0.231803 0.972763i \(-0.425537\pi\)
−0.794380 + 0.607421i \(0.792204\pi\)
\(38\) −2.81479 1.08050i −0.456619 0.175279i
\(39\) 2.19399 + 4.92779i 0.351320 + 0.789077i
\(40\) 0.956350 + 2.02124i 0.151212 + 0.319585i
\(41\) −1.53405 + 0.498443i −0.239578 + 0.0778437i −0.426345 0.904561i \(-0.640199\pi\)
0.186767 + 0.982404i \(0.440199\pi\)
\(42\) 5.60013 1.67298i 0.864119 0.258146i
\(43\) −4.77141 + 4.77141i −0.727634 + 0.727634i −0.970148 0.242514i \(-0.922028\pi\)
0.242514 + 0.970148i \(0.422028\pi\)
\(44\) 0.798189 + 3.21914i 0.120332 + 0.485304i
\(45\) −3.70072 + 1.99440i −0.551670 + 0.297308i
\(46\) 0.972616 + 9.25382i 0.143404 + 1.36440i
\(47\) −0.165558 3.15903i −0.0241491 0.460792i −0.983763 0.179472i \(-0.942561\pi\)
0.959614 0.281320i \(-0.0907723\pi\)
\(48\) −1.96831 + 1.00290i −0.284101 + 0.144757i
\(49\) 1.84308 + 6.75300i 0.263298 + 0.964715i
\(50\) 4.06335 2.91363i 0.574644 0.412049i
\(51\) 3.48941 0.741698i 0.488616 0.103858i
\(52\) 2.04786 1.32990i 0.283988 0.184424i
\(53\) 9.74868 + 7.89433i 1.33908 + 1.08437i 0.989042 + 0.147636i \(0.0471663\pi\)
0.350043 + 0.936734i \(0.386167\pi\)
\(54\) 1.23703 + 2.14260i 0.168339 + 0.291571i
\(55\) 6.76197 3.04561i 0.911784 0.410670i
\(56\) −1.14456 2.38537i −0.152949 0.318758i
\(57\) −6.57848 1.04193i −0.871341 0.138007i
\(58\) 0.356928 + 6.81060i 0.0468670 + 0.894276i
\(59\) −0.346252 0.384552i −0.0450782 0.0500644i 0.720184 0.693783i \(-0.244057\pi\)
−0.765262 + 0.643719i \(0.777391\pi\)
\(60\) 2.99483 + 3.92826i 0.386631 + 0.507136i
\(61\) −6.65475 0.699442i −0.852053 0.0895544i −0.331575 0.943429i \(-0.607580\pi\)
−0.520479 + 0.853875i \(0.674247\pi\)
\(62\) −2.61299 5.12828i −0.331850 0.651292i
\(63\) 4.36585 2.38359i 0.550045 0.300304i
\(64\) 0.587785 + 0.809017i 0.0734732 + 0.101127i
\(65\) −3.74606 3.97227i −0.464641 0.492699i
\(66\) 3.20327 + 6.58936i 0.394295 + 0.811094i
\(67\) −3.51597 + 0.942102i −0.429545 + 0.115096i −0.467112 0.884198i \(-0.654706\pi\)
0.0375678 + 0.999294i \(0.488039\pi\)
\(68\) −0.578715 1.50761i −0.0701796 0.182824i
\(69\) 6.35186 + 19.5490i 0.764675 + 2.35343i
\(70\) −4.78899 + 3.47355i −0.572394 + 0.415169i
\(71\) 0.855960 + 0.621891i 0.101584 + 0.0738049i 0.637418 0.770519i \(-0.280003\pi\)
−0.535834 + 0.844323i \(0.680003\pi\)
\(72\) −1.46107 + 1.18315i −0.172189 + 0.139436i
\(73\) 0.531945 10.1501i 0.0622595 1.18798i −0.771638 0.636062i \(-0.780562\pi\)
0.833897 0.551920i \(-0.186105\pi\)
\(74\) −0.848340 + 3.99113i −0.0986176 + 0.463959i
\(75\) 7.44190 8.16207i 0.859317 0.942474i
\(76\) 3.01504i 0.345849i
\(77\) −7.98115 + 3.64708i −0.909537 + 0.415624i
\(78\) 3.81423 3.81423i 0.431876 0.431876i
\(79\) −2.67025 + 5.99747i −0.300426 + 0.674768i −0.999176 0.0405983i \(-0.987074\pi\)
0.698749 + 0.715367i \(0.253740\pi\)
\(80\) 1.54426 1.61718i 0.172654 0.180806i
\(81\) 7.43107 + 8.25304i 0.825675 + 0.917005i
\(82\) 1.01509 + 1.25353i 0.112098 + 0.138430i
\(83\) 0.546687 + 3.45164i 0.0600067 + 0.378867i 0.999355 + 0.0359033i \(0.0114308\pi\)
−0.939349 + 0.342964i \(0.888569\pi\)
\(84\) −3.56877 4.62863i −0.389384 0.505025i
\(85\) −3.08471 + 1.87710i −0.334584 + 0.203600i
\(86\) 6.16442 + 2.74458i 0.664727 + 0.295955i
\(87\) 3.89932 + 14.5525i 0.418052 + 1.56019i
\(88\) 2.71929 1.89881i 0.289877 0.202414i
\(89\) −5.21581 9.03406i −0.552875 0.957608i −0.998065 0.0621720i \(-0.980197\pi\)
0.445190 0.895436i \(-0.353136\pi\)
\(90\) 3.18815 + 2.74019i 0.336061 + 0.288841i
\(91\) 4.45790 + 4.67587i 0.467314 + 0.490164i
\(92\) 8.29063 4.22429i 0.864358 0.440412i
\(93\) −8.00156 9.88111i −0.829723 1.02462i
\(94\) −2.88988 + 1.28666i −0.298068 + 0.132709i
\(95\) 6.63275 1.20791i 0.680506 0.123929i
\(96\) 1.64167 + 1.47817i 0.167552 + 0.150865i
\(97\) 0.833505 5.26254i 0.0846296 0.534330i −0.908554 0.417768i \(-0.862813\pi\)
0.993183 0.116562i \(-0.0371874\pi\)
\(98\) 5.64397 4.14073i 0.570127 0.418277i
\(99\) 3.83253 + 4.91855i 0.385184 + 0.494333i
\(100\) −4.17628 2.74931i −0.417628 0.274931i
\(101\) −4.56697 + 0.480008i −0.454430 + 0.0477625i −0.328979 0.944337i \(-0.606705\pi\)
−0.125451 + 0.992100i \(0.540038\pi\)
\(102\) −1.94293 2.99185i −0.192379 0.296237i
\(103\) 0.123622 + 0.0802808i 0.0121808 + 0.00791030i 0.550715 0.834693i \(-0.314355\pi\)
−0.538534 + 0.842604i \(0.681022\pi\)
\(104\) −1.97546 1.43525i −0.193709 0.140738i
\(105\) −8.75271 + 9.70524i −0.854177 + 0.947135i
\(106\) 3.87637 11.9303i 0.376507 1.15877i
\(107\) −2.23852 + 0.117316i −0.216406 + 0.0113413i −0.160231 0.987080i \(-0.551224\pi\)
−0.0561750 + 0.998421i \(0.517890\pi\)
\(108\) 1.55698 1.92271i 0.149820 0.185013i
\(109\) −11.3283 6.54038i −1.08505 0.626455i −0.152797 0.988258i \(-0.548828\pi\)
−0.932255 + 0.361803i \(0.882161\pi\)
\(110\) −5.26659 5.22140i −0.502150 0.497841i
\(111\) 9.01371i 0.855543i
\(112\) −1.81676 + 1.92338i −0.171668 + 0.181742i
\(113\) 15.0599 + 7.67341i 1.41672 + 0.721854i 0.983748 0.179555i \(-0.0574657\pi\)
0.432970 + 0.901408i \(0.357466\pi\)
\(114\) 1.38479 + 6.51494i 0.129698 + 0.610180i
\(115\) −12.6144 16.5461i −1.17630 1.54293i
\(116\) 6.23033 2.77392i 0.578472 0.257552i
\(117\) 2.50027 3.85009i 0.231150 0.355941i
\(118\) −0.234924 + 0.461065i −0.0216266 + 0.0424445i
\(119\) 3.63774 2.24083i 0.333471 0.205417i
\(120\) 2.59409 4.20368i 0.236807 0.383742i
\(121\) −6.12744 9.13534i −0.557040 0.830486i
\(122\) 1.73186 + 6.46340i 0.156796 + 0.585169i
\(123\) 2.76916 + 2.24242i 0.249687 + 0.202192i
\(124\) −3.85125 + 4.27725i −0.345852 + 0.384108i
\(125\) −4.37503 + 10.2888i −0.391314 + 0.920257i
\(126\) −3.78985 3.22167i −0.337627 0.287009i
\(127\) −3.25492 20.5508i −0.288827 1.82358i −0.524102 0.851656i \(-0.675599\pi\)
0.235274 0.971929i \(-0.424401\pi\)
\(128\) 0.544639 0.838671i 0.0481397 0.0741287i
\(129\) 14.5807 + 3.09923i 1.28376 + 0.272872i
\(130\) −2.36597 + 4.92078i −0.207509 + 0.431581i
\(131\) 10.2763 5.93300i 0.897841 0.518368i 0.0213416 0.999772i \(-0.493206\pi\)
0.876499 + 0.481404i \(0.159873\pi\)
\(132\) 5.00374 5.35192i 0.435520 0.465825i
\(133\) −7.84009 + 1.47189i −0.679822 + 0.127629i
\(134\) 2.13954 + 2.94483i 0.184828 + 0.254394i
\(135\) −4.85351 2.65488i −0.417723 0.228496i
\(136\) −1.20008 + 1.08055i −0.102906 + 0.0926568i
\(137\) −9.85745 3.78392i −0.842179 0.323282i −0.101246 0.994861i \(-0.532283\pi\)
−0.740933 + 0.671579i \(0.765616\pi\)
\(138\) 15.9743 12.9357i 1.35982 1.10116i
\(139\) 5.44650 16.7626i 0.461966 1.42179i −0.400792 0.916169i \(-0.631265\pi\)
0.862758 0.505617i \(-0.168735\pi\)
\(140\) 4.95906 + 3.22610i 0.419117 + 0.272655i
\(141\) −5.65353 + 4.10753i −0.476113 + 0.345916i
\(142\) 0.273837 1.02197i 0.0229799 0.0857621i
\(143\) −4.88220 + 6.46144i −0.408270 + 0.540333i
\(144\) 1.62817 + 0.940025i 0.135681 + 0.0783354i
\(145\) −8.59837 12.5947i −0.714055 1.04593i
\(146\) −9.66659 + 3.14086i −0.800013 + 0.259940i
\(147\) 10.2937 11.5396i 0.849013 0.951767i
\(148\) 4.03006 0.638298i 0.331269 0.0524678i
\(149\) −9.86458 1.03681i −0.808138 0.0849387i −0.308557 0.951206i \(-0.599846\pi\)
−0.499581 + 0.866267i \(0.666513\pi\)
\(150\) −10.2869 4.02259i −0.839921 0.328443i
\(151\) −5.67649 1.20658i −0.461947 0.0981898i −0.0289412 0.999581i \(-0.509214\pi\)
−0.433005 + 0.901391i \(0.642547\pi\)
\(152\) 2.81479 1.08050i 0.228309 0.0876397i
\(153\) −2.14679 2.14679i −0.173558 0.173558i
\(154\) 6.26503 + 6.14405i 0.504851 + 0.495102i
\(155\) 10.9524 + 6.75872i 0.879716 + 0.542873i
\(156\) −4.92779 2.19399i −0.394539 0.175660i
\(157\) 12.8868 8.36876i 1.02848 0.667900i 0.0839943 0.996466i \(-0.473232\pi\)
0.944481 + 0.328567i \(0.106566\pi\)
\(158\) 6.55605 + 0.343588i 0.521572 + 0.0273344i
\(159\) 2.89661 27.5594i 0.229716 2.18560i
\(160\) −2.06318 0.862148i −0.163109 0.0681588i
\(161\) 15.0319 + 19.4961i 1.18468 + 1.53651i
\(162\) 5.04182 9.89513i 0.396123 0.777435i
\(163\) 5.75463 2.20899i 0.450737 0.173022i −0.122401 0.992481i \(-0.539059\pi\)
0.573138 + 0.819459i \(0.305726\pi\)
\(164\) 0.806498 1.39690i 0.0629769 0.109079i
\(165\) −13.7783 8.86353i −1.07264 0.690025i
\(166\) 3.02647 1.74733i 0.234900 0.135619i
\(167\) 3.20409 20.2298i 0.247940 1.56543i −0.478431 0.878125i \(-0.658794\pi\)
0.726370 0.687304i \(-0.241206\pi\)
\(168\) −3.04227 + 4.99048i −0.234716 + 0.385024i
\(169\) −6.69318 2.17475i −0.514860 0.167288i
\(170\) 2.85788 + 2.20713i 0.219190 + 0.169279i
\(171\) 2.30556 + 5.17837i 0.176311 + 0.396000i
\(172\) 0.353152 6.73855i 0.0269276 0.513810i
\(173\) 12.9857 0.680551i 0.987284 0.0517414i 0.448147 0.893960i \(-0.352084\pi\)
0.539137 + 0.842218i \(0.318751\pi\)
\(174\) 12.1885 8.85548i 0.924009 0.671332i
\(175\) 5.11030 12.2018i 0.386302 0.922372i
\(176\) −2.74720 1.85820i −0.207078 0.140067i
\(177\) −0.295862 + 1.10417i −0.0222384 + 0.0829948i
\(178\) −6.56484 + 8.10690i −0.492055 + 0.607638i
\(179\) 0.632912 2.97762i 0.0473061 0.222558i −0.948144 0.317841i \(-0.897042\pi\)
0.995450 + 0.0952830i \(0.0303756\pi\)
\(180\) 1.41565 3.95839i 0.105517 0.295041i
\(181\) 11.1944 15.4078i 0.832076 1.14525i −0.155457 0.987843i \(-0.549685\pi\)
0.987533 0.157412i \(-0.0503151\pi\)
\(182\) 2.76773 5.83749i 0.205158 0.432703i
\(183\) 6.71083 + 13.1707i 0.496079 + 0.973610i
\(184\) −6.91481 6.22612i −0.509766 0.458996i
\(185\) −3.01874 8.60994i −0.221942 0.633016i
\(186\) −6.35730 + 11.0112i −0.466140 + 0.807378i
\(187\) 3.50854 + 4.04670i 0.256570 + 0.295924i
\(188\) 2.23684 + 2.23684i 0.163138 + 0.163138i
\(189\) 5.75975 + 3.11001i 0.418960 + 0.226220i
\(190\) −3.50465 5.75933i −0.254254 0.417826i
\(191\) −7.40432 + 1.57384i −0.535758 + 0.113879i −0.467842 0.883812i \(-0.654968\pi\)
−0.0679161 + 0.997691i \(0.521635\pi\)
\(192\) 0.791665 2.06236i 0.0571335 0.148838i
\(193\) −6.78601 + 17.6782i −0.488468 + 1.27250i 0.438963 + 0.898505i \(0.355346\pi\)
−0.927430 + 0.373996i \(0.877987\pi\)
\(194\) −5.21171 + 1.10778i −0.374179 + 0.0795341i
\(195\) −2.85232 + 11.7195i −0.204259 + 0.839254i
\(196\) −5.88832 3.78519i −0.420594 0.270371i
\(197\) 3.72829 + 3.72829i 0.265630 + 0.265630i 0.827336 0.561707i \(-0.189855\pi\)
−0.561707 + 0.827336i \(0.689855\pi\)
\(198\) 3.21841 5.34063i 0.228722 0.379542i
\(199\) −4.70328 + 8.14632i −0.333407 + 0.577477i −0.983177 0.182653i \(-0.941532\pi\)
0.649771 + 0.760130i \(0.274865\pi\)
\(200\) −1.07006 + 4.88416i −0.0756645 + 0.345362i
\(201\) 5.97568 + 5.38053i 0.421492 + 0.379513i
\(202\) 2.08478 + 4.09161i 0.146685 + 0.287885i
\(203\) 10.2546 + 14.8467i 0.719735 + 1.04203i
\(204\) −2.09685 + 2.88606i −0.146809 + 0.202065i
\(205\) −3.39612 1.21457i −0.237195 0.0848290i
\(206\) 0.0306466 0.144181i 0.00213525 0.0100455i
\(207\) 11.0090 13.5950i 0.765179 0.944917i
\(208\) −0.631984 + 2.35859i −0.0438202 + 0.163539i
\(209\) −3.40793 9.40114i −0.235732 0.650290i
\(210\) 12.1973 + 4.69332i 0.841695 + 0.323870i
\(211\) −15.8095 + 11.4863i −1.08837 + 0.790750i −0.979124 0.203265i \(-0.934845\pi\)
−0.109250 + 0.994014i \(0.534845\pi\)
\(212\) −12.5270 + 0.656513i −0.860359 + 0.0450895i
\(213\) 0.122323 2.33406i 0.00838143 0.159927i
\(214\) 0.911737 + 2.04779i 0.0623251 + 0.139984i
\(215\) −14.9655 + 1.92276i −1.02064 + 0.131131i
\(216\) −2.35297 0.764527i −0.160100 0.0520195i
\(217\) −13.0023 7.92641i −0.882656 0.538080i
\(218\) −2.04628 + 12.9197i −0.138592 + 0.875033i
\(219\) −19.4451 + 11.2266i −1.31398 + 0.758625i
\(220\) −2.98722 + 6.78797i −0.201398 + 0.457645i
\(221\) 1.97158 3.41488i 0.132623 0.229710i
\(222\) 8.41502 3.23022i 0.564779 0.216798i
\(223\) −3.03767 + 5.96176i −0.203417 + 0.399229i −0.970067 0.242836i \(-0.921922\pi\)
0.766650 + 0.642065i \(0.221922\pi\)
\(224\) 2.44670 + 1.00681i 0.163477 + 0.0672705i
\(225\) −9.27516 1.52843i −0.618344 0.101895i
\(226\) 1.76675 16.8095i 0.117523 1.11815i
\(227\) 0.820833 + 0.0430180i 0.0544806 + 0.00285521i 0.0795568 0.996830i \(-0.474650\pi\)
−0.0250762 + 0.999686i \(0.507983\pi\)
\(228\) 5.58595 3.62756i 0.369939 0.240241i
\(229\) −13.4222 5.97597i −0.886967 0.394903i −0.0878886 0.996130i \(-0.528012\pi\)
−0.799078 + 0.601227i \(0.794679\pi\)
\(230\) −10.9265 + 17.7062i −0.720471 + 1.16751i
\(231\) 16.3595 + 10.3986i 1.07637 + 0.684180i
\(232\) −4.82243 4.82243i −0.316608 0.316608i
\(233\) 26.2011 10.0576i 1.71649 0.658899i 0.717210 0.696857i \(-0.245419\pi\)
0.999279 + 0.0379585i \(0.0120855\pi\)
\(234\) −4.49038 0.954460i −0.293546 0.0623950i
\(235\) 4.02465 5.81693i 0.262539 0.379455i
\(236\) 0.514631 + 0.0540899i 0.0334996 + 0.00352095i
\(237\) 14.3242 2.26873i 0.930456 0.147370i
\(238\) −3.39565 2.59308i −0.220107 0.168084i
\(239\) 6.39339 2.07734i 0.413554 0.134372i −0.0948480 0.995492i \(-0.530237\pi\)
0.508402 + 0.861120i \(0.330237\pi\)
\(240\) −4.85411 0.915331i −0.313332 0.0590844i
\(241\) 18.5834 + 10.7291i 1.19706 + 0.691125i 0.959899 0.280345i \(-0.0904489\pi\)
0.237164 + 0.971470i \(0.423782\pi\)
\(242\) −6.33270 + 8.99427i −0.407081 + 0.578174i
\(243\) 4.42863 16.5279i 0.284097 1.06026i
\(244\) 5.41346 3.93311i 0.346561 0.251792i
\(245\) −5.96796 + 14.4701i −0.381279 + 0.924460i
\(246\) 1.10110 3.38885i 0.0702037 0.216065i
\(247\) −5.72145 + 4.63314i −0.364047 + 0.294799i
\(248\) 5.37332 + 2.06262i 0.341206 + 0.130977i
\(249\) 5.73709 5.16570i 0.363573 0.327363i
\(250\) 11.1733 + 0.397268i 0.706660 + 0.0251254i
\(251\) 9.80781 + 13.4993i 0.619063 + 0.852068i 0.997284 0.0736478i \(-0.0234641\pi\)
−0.378221 + 0.925715i \(0.623464\pi\)
\(252\) −1.64952 + 4.69267i −0.103910 + 0.295611i
\(253\) −21.0761 + 22.5426i −1.32504 + 1.41724i
\(254\) −18.0193 + 10.4035i −1.13063 + 0.652771i
\(255\) 7.18906 + 3.45658i 0.450197 + 0.216460i
\(256\) −0.978148 0.207912i −0.0611342 0.0129945i
\(257\) −1.80952 + 2.78641i −0.112874 + 0.173811i −0.890593 0.454801i \(-0.849710\pi\)
0.777718 + 0.628613i \(0.216377\pi\)
\(258\) −2.33188 14.7229i −0.145177 0.916609i
\(259\) 3.62719 + 10.1678i 0.225383 + 0.631799i
\(260\) 5.44183 + 0.445370i 0.337488 + 0.0276207i
\(261\) 8.57949 9.52849i 0.531057 0.589799i
\(262\) −9.22161 7.46751i −0.569713 0.461345i
\(263\) −2.30511 8.60280i −0.142139 0.530471i −0.999866 0.0163655i \(-0.994790\pi\)
0.857727 0.514106i \(-0.171876\pi\)
\(264\) −6.78963 2.75344i −0.417873 0.169463i
\(265\) 6.46294 + 27.2950i 0.397015 + 1.67672i
\(266\) 4.18377 + 6.79187i 0.256523 + 0.416436i
\(267\) −10.4619 + 20.5327i −0.640259 + 1.25658i
\(268\) 1.98249 3.05276i 0.121100 0.186477i
\(269\) 24.7863 11.0356i 1.51125 0.672852i 0.527037 0.849842i \(-0.323303\pi\)
0.984213 + 0.176990i \(0.0566361\pi\)
\(270\) −0.739203 + 5.48256i −0.0449865 + 0.333658i
\(271\) −1.99036 9.36391i −0.120906 0.568817i −0.996340 0.0854795i \(-0.972758\pi\)
0.875434 0.483337i \(-0.160576\pi\)
\(272\) 1.43885 + 0.733133i 0.0872434 + 0.0444527i
\(273\) 3.29942 13.8849i 0.199690 0.840353i
\(274\) 10.5588i 0.637878i
\(275\) 16.1295 + 3.85207i 0.972647 + 0.232289i
\(276\) −17.8012 10.2775i −1.07151 0.618635i
\(277\) 17.4068 21.4956i 1.04587 1.29155i 0.0905787 0.995889i \(-0.471128\pi\)
0.955294 0.295656i \(-0.0955383\pi\)
\(278\) −17.6011 + 0.922434i −1.05564 + 0.0553239i
\(279\) −3.34382 + 10.2912i −0.200189 + 0.616119i
\(280\) 1.23465 5.78581i 0.0737846 0.345768i
\(281\) 5.54245 + 4.02683i 0.330635 + 0.240220i 0.740700 0.671836i \(-0.234494\pi\)
−0.410065 + 0.912056i \(0.634494\pi\)
\(282\) 5.86075 + 3.80602i 0.349003 + 0.226645i
\(283\) −9.18173 14.1386i −0.545797 0.840454i 0.452896 0.891563i \(-0.350391\pi\)
−0.998693 + 0.0511095i \(0.983724\pi\)
\(284\) −1.05223 + 0.110594i −0.0624383 + 0.00656253i
\(285\) −10.2181 10.8351i −0.605269 0.641819i
\(286\) 7.78190 + 2.24235i 0.460153 + 0.132593i
\(287\) 4.02610 + 1.41521i 0.237653 + 0.0835374i
\(288\) 0.294105 1.85690i 0.0173303 0.109419i
\(289\) 10.6955 + 9.63027i 0.629147 + 0.566487i
\(290\) −8.67679 + 12.5408i −0.509519 + 0.736421i
\(291\) −10.7527 + 4.78741i −0.630335 + 0.280643i
\(292\) 6.39645 + 7.89895i 0.374324 + 0.462251i
\(293\) 7.80176 3.97520i 0.455784 0.232233i −0.210998 0.977487i \(-0.567671\pi\)
0.666782 + 0.745253i \(0.267671\pi\)
\(294\) −14.4621 5.47462i −0.843444 0.319286i
\(295\) −0.0871846 1.15380i −0.00507608 0.0671768i
\(296\) −2.04015 3.53364i −0.118581 0.205388i
\(297\) −2.68152 + 7.75502i −0.155598 + 0.449992i
\(298\) 2.56720 + 9.58093i 0.148714 + 0.555009i
\(299\) 20.7561 + 9.24123i 1.20036 + 0.534434i
\(300\) −0.0689250 + 11.0452i −0.00397938 + 0.637695i
\(301\) 17.6948 2.37134i 1.01991 0.136682i
\(302\) 0.907838 + 5.73186i 0.0522402 + 0.329832i
\(303\) 6.38407 + 7.88367i 0.366755 + 0.452905i
\(304\) −2.01746 2.24061i −0.115709 0.128508i
\(305\) −10.8212 10.3333i −0.619619 0.591682i
\(306\) −1.23486 + 2.77355i −0.0705924 + 0.158553i
\(307\) −3.67780 + 3.67780i −0.209903 + 0.209903i −0.804226 0.594323i \(-0.797420\pi\)
0.594323 + 0.804226i \(0.297420\pi\)
\(308\) 3.49078 8.05074i 0.198906 0.458734i
\(309\) 0.325623i 0.0185240i
\(310\) 2.38483 12.6470i 0.135449 0.718303i
\(311\) −4.65992 + 21.9232i −0.264240 + 1.24315i 0.623140 + 0.782111i \(0.285857\pi\)
−0.887379 + 0.461040i \(0.847476\pi\)
\(312\) −0.282307 + 5.38674i −0.0159825 + 0.304964i
\(313\) 4.44828 3.60214i 0.251432 0.203605i −0.495316 0.868713i \(-0.664948\pi\)
0.746747 + 0.665108i \(0.231614\pi\)
\(314\) −12.4311 9.03173i −0.701528 0.509690i
\(315\) 10.9842 + 1.74874i 0.618889 + 0.0985302i
\(316\) −2.02871 6.24373i −0.114124 0.351237i
\(317\) −1.64659 4.28952i −0.0924819 0.240924i 0.879535 0.475834i \(-0.157854\pi\)
−0.972017 + 0.234910i \(0.924520\pi\)
\(318\) −26.7670 + 7.17219i −1.50102 + 0.402196i
\(319\) −16.2913 + 15.6915i −0.912136 + 0.878556i
\(320\) −0.0655075 + 2.23511i −0.00366198 + 0.124946i
\(321\) 2.91063 + 4.00614i 0.162456 + 0.223601i
\(322\) 12.8142 21.0202i 0.714109 1.17141i
\(323\) 2.21043 + 4.33821i 0.122991 + 0.241384i
\(324\) −11.0447 1.16085i −0.613596 0.0644915i
\(325\) −1.20039 12.1498i −0.0665858 0.673951i
\(326\) −4.12455 4.58077i −0.228438 0.253706i
\(327\) 1.51233 + 28.8569i 0.0836318 + 1.59579i
\(328\) −1.59314 0.252328i −0.0879663 0.0139325i
\(329\) −4.72451 + 6.90849i −0.260471 + 0.380877i
\(330\) −3.33713 + 16.0395i −0.183703 + 0.882947i
\(331\) −15.9992 27.7114i −0.879396 1.52316i −0.852005 0.523534i \(-0.824613\pi\)
−0.0273910 0.999625i \(-0.508720\pi\)
\(332\) −2.71587 2.19927i −0.149053 0.120700i
\(333\) 6.43357 4.17801i 0.352558 0.228954i
\(334\) −20.0344 + 4.25844i −1.09623 + 0.233012i
\(335\) −7.50998 3.13822i −0.410314 0.171459i
\(336\) 5.74927 + 1.05178i 0.313648 + 0.0573790i
\(337\) −11.2312 + 5.72260i −0.611805 + 0.311730i −0.732298 0.680984i \(-0.761552\pi\)
0.120494 + 0.992714i \(0.461552\pi\)
\(338\) 0.368321 + 7.02798i 0.0200340 + 0.382272i
\(339\) −3.90291 37.1337i −0.211977 2.01683i
\(340\) 1.03636 3.45903i 0.0562046 0.187592i
\(341\) 7.17388 17.6899i 0.388488 0.957961i
\(342\) 4.00819 4.00819i 0.216738 0.216738i
\(343\) 6.96815 17.1594i 0.376245 0.926520i
\(344\) −6.41754 + 2.08518i −0.346010 + 0.112426i
\(345\) −15.4777 + 43.2781i −0.833292 + 2.33001i
\(346\) −5.28901 11.8793i −0.284339 0.638635i
\(347\) 25.0439 + 9.61344i 1.34443 + 0.516077i 0.920897 0.389806i \(-0.127458\pi\)
0.423529 + 0.905883i \(0.360791\pi\)
\(348\) −12.6353 8.20544i −0.677322 0.439858i
\(349\) −9.25247 28.4762i −0.495273 1.52429i −0.816531 0.577302i \(-0.804106\pi\)
0.321258 0.946992i \(-0.395894\pi\)
\(350\) −13.2228 0.398130i −0.706786 0.0212809i
\(351\) 6.04116 0.322453
\(352\) −0.750270 + 3.23065i −0.0399895 + 0.172194i
\(353\) 35.0991 9.40478i 1.86814 0.500566i 0.868146 0.496308i \(-0.165311\pi\)
0.999991 0.00425756i \(-0.00135523\pi\)
\(354\) 1.13686 0.119489i 0.0604236 0.00635077i
\(355\) 0.664847 + 2.27047i 0.0352864 + 0.120504i
\(356\) 9.92107 + 3.22355i 0.525816 + 0.170848i
\(357\) −8.52834 4.04355i −0.451368 0.214007i
\(358\) −3.00666 + 0.476209i −0.158907 + 0.0251684i
\(359\) −0.623429 2.93300i −0.0329033 0.154798i 0.958629 0.284659i \(-0.0918803\pi\)
−0.991532 + 0.129861i \(0.958547\pi\)
\(360\) −4.20280 + 0.0969332i −0.221507 + 0.00510883i
\(361\) 1.03583 + 9.85522i 0.0545171 + 0.518696i
\(362\) −18.3962 4.92924i −0.966881 0.259075i
\(363\) −9.55273 + 22.3435i −0.501388 + 1.17273i
\(364\) −6.44163 0.491934i −0.337633 0.0257844i
\(365\) 14.8142 17.2360i 0.775410 0.902173i
\(366\) 9.89100 10.9851i 0.517011 0.574199i
\(367\) 29.9548 + 1.56986i 1.56363 + 0.0819462i 0.814375 0.580339i \(-0.197080\pi\)
0.749252 + 0.662285i \(0.230413\pi\)
\(368\) −3.33454 + 8.68677i −0.173825 + 0.452829i
\(369\) 0.316984 3.01590i 0.0165015 0.157002i
\(370\) −6.95625 + 5.90377i −0.361638 + 0.306922i
\(371\) −7.82263 32.2538i −0.406131 1.67453i
\(372\) 12.5581 + 1.98900i 0.651106 + 0.103125i
\(373\) −28.5301 7.64463i −1.47723 0.395824i −0.571830 0.820372i \(-0.693766\pi\)
−0.905405 + 0.424548i \(0.860433\pi\)
\(374\) 2.52057 4.72571i 0.130336 0.244361i
\(375\) 24.3258 4.27340i 1.25618 0.220678i
\(376\) 1.28666 2.88988i 0.0663543 0.149034i
\(377\) 14.8379 + 7.56027i 0.764189 + 0.389374i
\(378\) 0.839335 6.49172i 0.0431708 0.333898i
\(379\) 14.5959 20.0895i 0.749740 1.03193i −0.248259 0.968694i \(-0.579858\pi\)
0.997999 0.0632350i \(-0.0201418\pi\)
\(380\) −4.12084 + 5.33583i −0.211395 + 0.273722i
\(381\) −34.1581 + 30.7561i −1.74997 + 1.57568i
\(382\) 4.12278 + 6.34852i 0.210940 + 0.324818i
\(383\) 1.47149 + 3.83336i 0.0751895 + 0.195875i 0.966024 0.258453i \(-0.0832127\pi\)
−0.890834 + 0.454328i \(0.849879\pi\)
\(384\) −2.20908 −0.112732
\(385\) −19.1092 4.45395i −0.973896 0.226994i
\(386\) 18.9359 0.963810
\(387\) −4.54633 11.8436i −0.231103 0.602043i
\(388\) 2.90191 + 4.46855i 0.147322 + 0.226856i
\(389\) −20.1226 + 18.1184i −1.02025 + 0.918642i −0.996708 0.0810812i \(-0.974163\pi\)
−0.0235473 + 0.999723i \(0.507496\pi\)
\(390\) 11.9633 1.53704i 0.605786 0.0778311i
\(391\) 8.83205 12.1563i 0.446656 0.614769i
\(392\) −1.42360 + 6.85371i −0.0719026 + 0.346165i
\(393\) −23.3559 11.9004i −1.17815 0.600298i
\(394\) 2.14456 4.81676i 0.108041 0.242665i
\(395\) −12.9227 + 6.96436i −0.650214 + 0.350415i
\(396\) −6.13928 1.09073i −0.308510 0.0548115i
\(397\) −25.1651 6.74298i −1.26300 0.338420i −0.435656 0.900113i \(-0.643484\pi\)
−0.827346 + 0.561693i \(0.810150\pi\)
\(398\) 9.29075 + 1.47151i 0.465703 + 0.0737601i
\(399\) 12.1598 + 12.7544i 0.608751 + 0.638517i
\(400\) 4.94323 0.751341i 0.247161 0.0375670i
\(401\) −1.78752 + 17.0071i −0.0892644 + 0.849294i 0.854672 + 0.519168i \(0.173758\pi\)
−0.943937 + 0.330126i \(0.892909\pi\)
\(402\) 2.88166 7.50699i 0.143724 0.374415i
\(403\) −14.0348 0.735530i −0.699121 0.0366394i
\(404\) 3.07273 3.41261i 0.152874 0.169784i
\(405\) 1.87111 + 24.7622i 0.0929761 + 1.23044i
\(406\) 10.1856 14.8941i 0.505505 0.739182i
\(407\) −11.8446 + 6.54547i −0.587113 + 0.324447i
\(408\) 3.44581 + 0.923303i 0.170593 + 0.0457103i
\(409\) 3.10056 + 29.4999i 0.153313 + 1.45867i 0.752779 + 0.658274i \(0.228713\pi\)
−0.599466 + 0.800400i \(0.704620\pi\)
\(410\) 0.0831642 + 3.60581i 0.00410719 + 0.178078i
\(411\) 4.84958 + 22.8155i 0.239212 + 1.12540i
\(412\) −0.145587 + 0.0230587i −0.00717256 + 0.00113602i
\(413\) 0.110583 + 1.36461i 0.00544144 + 0.0671482i
\(414\) −16.6373 5.40578i −0.817678 0.265680i
\(415\) −3.75008 + 6.85569i −0.184084 + 0.336533i
\(416\) 2.42842 0.255237i 0.119063 0.0125140i
\(417\) −37.6089 + 10.0773i −1.84172 + 0.493487i
\(418\) −7.55543 + 6.55064i −0.369548 + 0.320402i
\(419\) 11.4461 0.559178 0.279589 0.960120i \(-0.409802\pi\)
0.279589 + 0.960120i \(0.409802\pi\)
\(420\) 0.0104595 13.0691i 0.000510369 0.637707i
\(421\) 5.95618 + 18.3312i 0.290286 + 0.893409i 0.984764 + 0.173895i \(0.0556354\pi\)
−0.694478 + 0.719514i \(0.744365\pi\)
\(422\) 16.3890 + 10.6432i 0.797805 + 0.518101i
\(423\) 5.55227 + 2.13132i 0.269961 + 0.103628i
\(424\) 5.10219 + 11.4597i 0.247784 + 0.556533i
\(425\) −8.02466 0.894089i −0.389253 0.0433697i
\(426\) −2.22287 + 0.722254i −0.107698 + 0.0349933i
\(427\) 12.8701 + 12.1567i 0.622828 + 0.588302i
\(428\) 1.58504 1.58504i 0.0766160 0.0766160i
\(429\) 17.8451 + 1.27111i 0.861570 + 0.0613700i
\(430\) 7.15822 + 13.2825i 0.345200 + 0.640537i
\(431\) −3.26143 31.0305i −0.157098 1.49468i −0.734714 0.678377i \(-0.762684\pi\)
0.577617 0.816308i \(-0.303983\pi\)
\(432\) 0.129482 + 2.47067i 0.00622973 + 0.118870i
\(433\) 11.6636 5.94290i 0.560517 0.285598i −0.150689 0.988581i \(-0.548149\pi\)
0.711206 + 0.702984i \(0.248149\pi\)
\(434\) −2.74032 + 14.9793i −0.131540 + 0.719029i
\(435\) −12.9890 + 31.0835i −0.622774 + 1.49034i
\(436\) 12.7949 2.71964i 0.612765 0.130247i
\(437\) −23.5284 + 15.2795i −1.12551 + 0.730918i
\(438\) 17.4494 + 14.1303i 0.833767 + 0.675171i
\(439\) 3.32166 + 5.75328i 0.158534 + 0.274589i 0.934340 0.356382i \(-0.115990\pi\)
−0.775806 + 0.630971i \(0.782657\pi\)
\(440\) 7.40764 + 0.356215i 0.353145 + 0.0169819i
\(441\) −13.0077 1.99840i −0.619416 0.0951621i
\(442\) −3.89462 0.616848i −0.185248 0.0293404i
\(443\) −1.71425 32.7099i −0.0814466 1.55409i −0.667986 0.744173i \(-0.732844\pi\)
0.586540 0.809920i \(-0.300490\pi\)
\(444\) −6.03135 6.69849i −0.286235 0.317896i
\(445\) 3.11677 23.1167i 0.147749 1.09584i
\(446\) 6.65439 + 0.699404i 0.315094 + 0.0331178i
\(447\) 9.94771 + 19.5235i 0.470510 + 0.923429i
\(448\) 0.0631221 2.64500i 0.00298224 0.124964i
\(449\) 4.03646 + 5.55572i 0.190493 + 0.262191i 0.893571 0.448922i \(-0.148192\pi\)
−0.703079 + 0.711112i \(0.748192\pi\)
\(450\) 1.89701 + 9.20685i 0.0894258 + 0.434015i
\(451\) −0.935799 + 5.26722i −0.0440651 + 0.248024i
\(452\) −16.3262 + 4.37460i −0.767920 + 0.205764i
\(453\) 4.59428 + 11.9685i 0.215858 + 0.562329i
\(454\) −0.253999 0.781730i −0.0119208 0.0366884i
\(455\) 1.49851 + 14.3679i 0.0702510 + 0.673579i
\(456\) −5.38845 3.91493i −0.252337 0.183334i
\(457\) −9.75952 + 7.90310i −0.456531 + 0.369691i −0.829827 0.558021i \(-0.811561\pi\)
0.373296 + 0.927712i \(0.378228\pi\)
\(458\) −0.768945 + 14.6723i −0.0359304 + 0.685593i
\(459\) 0.830664 3.90797i 0.0387721 0.182408i
\(460\) 20.4458 + 3.85543i 0.953291 + 0.179760i
\(461\) 29.2861i 1.36399i −0.731356 0.681996i \(-0.761112\pi\)
0.731356 0.681996i \(-0.238888\pi\)
\(462\) 3.84525 18.9994i 0.178897 0.883933i
\(463\) −22.8396 + 22.8396i −1.06145 + 1.06145i −0.0634636 + 0.997984i \(0.520215\pi\)
−0.997984 + 0.0634636i \(0.979785\pi\)
\(464\) −2.77392 + 6.23033i −0.128776 + 0.289236i
\(465\) −0.655550 28.4232i −0.0304004 1.31809i
\(466\) −18.7792 20.8565i −0.869932 0.966157i
\(467\) 22.9715 + 28.3674i 1.06299 + 1.31269i 0.947633 + 0.319362i \(0.103469\pi\)
0.115359 + 0.993324i \(0.463198\pi\)
\(468\) 0.718144 + 4.53418i 0.0331962 + 0.209593i
\(469\) 8.90599 + 3.66480i 0.411240 + 0.169225i
\(470\) −6.87288 1.67273i −0.317022 0.0771572i
\(471\) −31.0095 13.8063i −1.42884 0.636161i
\(472\) −0.133930 0.499833i −0.00616463 0.0230067i
\(473\) 6.51549 + 21.4105i 0.299582 + 0.984455i
\(474\) −7.25137 12.5597i −0.333067 0.576888i
\(475\) 13.3892 + 6.92769i 0.614336 + 0.317864i
\(476\) −1.20396 + 4.09939i −0.0551833 + 0.187895i
\(477\) −21.0133 + 10.7068i −0.962132 + 0.490231i
\(478\) −4.23055 5.22429i −0.193501 0.238953i
\(479\) −34.0158 + 15.1448i −1.55422 + 0.691983i −0.990943 0.134284i \(-0.957126\pi\)
−0.563277 + 0.826268i \(0.690460\pi\)
\(480\) 0.885023 + 4.85973i 0.0403956 + 0.221815i
\(481\) 7.40413 + 6.66671i 0.337599 + 0.303976i
\(482\) 3.35681 21.1941i 0.152899 0.965364i
\(483\) 18.0346 51.3062i 0.820605 2.33451i
\(484\) 10.6663 + 2.68882i 0.484832 + 0.122219i
\(485\) 8.66772 8.17411i 0.393581 0.371167i
\(486\) −17.0172 + 1.78858i −0.771915 + 0.0811316i
\(487\) 2.19508 + 3.38012i 0.0994685 + 0.153168i 0.884901 0.465779i \(-0.154226\pi\)
−0.785432 + 0.618948i \(0.787559\pi\)
\(488\) −5.61188 3.64440i −0.254038 0.164974i
\(489\) −11.0163 8.00380i −0.498174 0.361944i
\(490\) 15.6477 + 0.385959i 0.706892 + 0.0174358i
\(491\) −3.05984 + 9.41720i −0.138088 + 0.424992i −0.996058 0.0887087i \(-0.971726\pi\)
0.857969 + 0.513701i \(0.171726\pi\)
\(492\) −3.55836 + 0.186486i −0.160423 + 0.00840743i
\(493\) 6.93089 8.55893i 0.312151 0.385475i
\(494\) 6.37579 + 3.68106i 0.286860 + 0.165619i
\(495\) 0.0600848 + 13.9427i 0.00270061 + 0.626678i
\(496\) 5.75560i 0.258434i
\(497\) −0.801259 2.68214i −0.0359414 0.120311i
\(498\) −6.87859 3.50481i −0.308237 0.157054i
\(499\) −1.01470 4.77379i −0.0454242 0.213704i 0.949582 0.313520i \(-0.101508\pi\)
−0.995006 + 0.0998154i \(0.968175\pi\)
\(500\) −3.63326 10.5735i −0.162484 0.472862i
\(501\) −41.3346 + 18.4034i −1.84669 + 0.822202i
\(502\) 9.08787 13.9941i 0.405611 0.624587i
\(503\) −13.1153 + 25.7402i −0.584782 + 1.14770i 0.389217 + 0.921146i \(0.372745\pi\)
−0.973999 + 0.226553i \(0.927255\pi\)
\(504\) 4.97213 0.141743i 0.221476 0.00631371i
\(505\) −8.73838 5.39246i −0.388853 0.239961i
\(506\) 28.5983 + 11.5977i 1.27135 + 0.515579i
\(507\) 4.02378 + 15.0170i 0.178703 + 0.666927i
\(508\) 16.1700 + 13.0942i 0.717428 + 0.580962i
\(509\) −8.26555 + 9.17982i −0.366364 + 0.406888i −0.897937 0.440124i \(-0.854934\pi\)
0.531573 + 0.847012i \(0.321601\pi\)
\(510\) 0.650668 7.95030i 0.0288120 0.352045i
\(511\) −17.4172 + 20.4890i −0.770491 + 0.906378i
\(512\) 0.156434 + 0.987688i 0.00691349 + 0.0436501i
\(513\) −4.06268 + 6.25599i −0.179372 + 0.276209i
\(514\) 3.24981 + 0.690768i 0.143343 + 0.0304685i
\(515\) 0.109053 + 0.311037i 0.00480545 + 0.0137059i
\(516\) −12.9094 + 7.45323i −0.568303 + 0.328110i
\(517\) −9.50295 4.44632i −0.417939 0.195549i
\(518\) 8.19263 7.03010i 0.359963 0.308885i
\(519\) −16.8846 23.2397i −0.741153 1.02011i
\(520\) −1.53439 5.23999i −0.0672874 0.229789i
\(521\) 17.5582 15.8094i 0.769237 0.692624i −0.187923 0.982184i \(-0.560176\pi\)
0.957160 + 0.289560i \(0.0935089\pi\)
\(522\) −11.9702 4.59494i −0.523922 0.201115i
\(523\) −1.45015 + 1.17430i −0.0634104 + 0.0513488i −0.660502 0.750825i \(-0.729656\pi\)
0.597091 + 0.802173i \(0.296323\pi\)
\(524\) −3.66679 + 11.2852i −0.160185 + 0.492998i
\(525\) −28.7547 + 5.21286i −1.25496 + 0.227508i
\(526\) −7.20533 + 5.23498i −0.314167 + 0.228256i
\(527\) −2.40560 + 8.97781i −0.104789 + 0.391080i
\(528\) −0.137371 + 7.32541i −0.00597831 + 0.318798i
\(529\) 55.0612 + 31.7896i 2.39396 + 1.38216i
\(530\) 23.1660 15.8153i 1.00626 0.686974i
\(531\) 0.925246 0.300631i 0.0401523 0.0130463i
\(532\) 4.84143 6.33987i 0.209903 0.274868i
\(533\) 3.89012 0.616134i 0.168500 0.0266877i
\(534\) 22.9181 + 2.40879i 0.991763 + 0.104239i
\(535\) −4.12193 2.85190i −0.178207 0.123298i
\(536\) −3.56046 0.756799i −0.153789 0.0326888i
\(537\) −6.27811 + 2.40994i −0.270920 + 0.103997i
\(538\) −19.1852 19.1852i −0.827134 0.827134i
\(539\) 22.6387 + 5.14691i 0.975116 + 0.221693i
\(540\) 5.38332 1.27467i 0.231661 0.0548531i
\(541\) −26.0041 11.5778i −1.11800 0.497767i −0.237300 0.971436i \(-0.576262\pi\)
−0.880703 + 0.473670i \(0.842929\pi\)
\(542\) −8.02868 + 5.21389i −0.344861 + 0.223956i
\(543\) −42.0146 2.20189i −1.80302 0.0944922i
\(544\) 0.168799 1.60602i 0.00723721 0.0688574i
\(545\) −11.1089 27.0578i −0.475854 1.15903i
\(546\) −14.1451 + 1.89563i −0.605354 + 0.0811254i
\(547\) 12.7539 25.0310i 0.545318 1.07025i −0.439756 0.898117i \(-0.644935\pi\)
0.985074 0.172130i \(-0.0550648\pi\)
\(548\) 9.85745 3.78392i 0.421089 0.161641i
\(549\) 6.29009 10.8948i 0.268454 0.464977i
\(550\) −2.18408 16.4387i −0.0931297 0.700947i
\(551\) −17.8076 + 10.2812i −0.758629 + 0.437995i
\(552\) −3.21552 + 20.3020i −0.136862 + 0.864110i
\(553\) 15.2453 8.32339i 0.648298 0.353947i
\(554\) −26.3059 8.54731i −1.11763 0.363140i
\(555\) −12.3196 + 15.9519i −0.522937 + 0.677120i
\(556\) 7.16883 + 16.1015i 0.304026 + 0.682854i
\(557\) 1.40649 26.8373i 0.0595947 1.13713i −0.791173 0.611593i \(-0.790529\pi\)
0.850768 0.525542i \(-0.176137\pi\)
\(558\) 10.8060 0.566318i 0.457454 0.0239742i
\(559\) 13.3300 9.68479i 0.563798 0.409623i
\(560\) −5.84398 + 0.920802i −0.246953 + 0.0389110i
\(561\) 3.27599 11.3690i 0.138312 0.480002i
\(562\) 1.77313 6.61741i 0.0747950 0.279139i
\(563\) −19.6537 + 24.2703i −0.828304 + 1.02287i 0.170989 + 0.985273i \(0.445304\pi\)
−0.999293 + 0.0375977i \(0.988029\pi\)
\(564\) 1.45292 6.83544i 0.0611788 0.287824i
\(565\) 16.1644 + 34.1632i 0.680040 + 1.43726i
\(566\) −9.90910 + 13.6387i −0.416511 + 0.573278i
\(567\) −2.37327 29.2866i −0.0996681 1.22992i
\(568\) 0.480333 + 0.942706i 0.0201543 + 0.0395551i
\(569\) −1.22186 1.10017i −0.0512230 0.0461214i 0.643122 0.765764i \(-0.277639\pi\)
−0.694345 + 0.719643i \(0.744306\pi\)
\(570\) −6.45364 + 13.4224i −0.270313 + 0.562202i
\(571\) −1.56983 + 2.71903i −0.0656955 + 0.113788i −0.897002 0.442026i \(-0.854260\pi\)
0.831307 + 0.555814i \(0.187593\pi\)
\(572\) −0.695367 8.06862i −0.0290748 0.337366i
\(573\) 11.8244 + 11.8244i 0.493970 + 0.493970i
\(574\) −0.121609 4.26585i −0.00507584 0.178053i
\(575\) 0.290316 46.5231i 0.0121070 1.94015i
\(576\) −1.83897 + 0.390884i −0.0766236 + 0.0162869i
\(577\) −5.01395 + 13.0618i −0.208733 + 0.543769i −0.997480 0.0709495i \(-0.977397\pi\)
0.788747 + 0.614719i \(0.210730\pi\)
\(578\) 5.15771 13.4363i 0.214532 0.558876i
\(579\) 40.9168 8.69714i 1.70044 0.361441i
\(580\) 14.8173 + 3.60626i 0.615256 + 0.149742i
\(581\) 4.39296 8.13578i 0.182251 0.337529i
\(582\) 8.32286 + 8.32286i 0.344994 + 0.344994i
\(583\) 38.3181 16.2065i 1.58698 0.671203i
\(584\) 5.08203 8.80233i 0.210296 0.364243i
\(585\) 9.68697 3.39636i 0.400507 0.140422i
\(586\) −6.50707 5.85899i −0.268804 0.242033i
\(587\) −6.61377 12.9803i −0.272980 0.535753i 0.713295 0.700863i \(-0.247202\pi\)
−0.986275 + 0.165111i \(0.947202\pi\)
\(588\) 0.0717437 + 15.4634i 0.00295866 + 0.637701i
\(589\) 10.2001 14.0392i 0.420287 0.578475i
\(590\) −1.04592 + 0.494878i −0.0430598 + 0.0203738i
\(591\) 2.42168 11.3931i 0.0996144 0.468649i
\(592\) −2.56781 + 3.17098i −0.105536 + 0.130327i
\(593\) −5.53183 + 20.6451i −0.227165 + 0.847791i 0.754361 + 0.656460i \(0.227947\pi\)
−0.981526 + 0.191331i \(0.938720\pi\)
\(594\) 8.20090 0.275731i 0.336487 0.0113134i
\(595\) 9.50053 + 1.00623i 0.389484 + 0.0412516i
\(596\) 8.02457 5.83019i 0.328699 0.238814i
\(597\) 20.7514 1.08753i 0.849298 0.0445098i
\(598\) 1.18909 22.6893i 0.0486257 0.927834i
\(599\) 5.64275 + 12.6738i 0.230556 + 0.517838i 0.991364 0.131139i \(-0.0418635\pi\)
−0.760807 + 0.648978i \(0.775197\pi\)
\(600\) 10.3363 3.89390i 0.421977 0.158968i
\(601\) −26.0711 8.47103i −1.06346 0.345540i −0.275525 0.961294i \(-0.588852\pi\)
−0.787939 + 0.615753i \(0.788852\pi\)
\(602\) −8.55509 15.6697i −0.348679 0.638650i
\(603\) 1.07054 6.75914i 0.0435958 0.275253i
\(604\) 5.02581 2.90166i 0.204497 0.118067i
\(605\) 1.64186 24.5419i 0.0667513 0.997770i
\(606\) 5.07219 8.78530i 0.206044 0.356878i
\(607\) −5.94118 + 2.28061i −0.241145 + 0.0925670i −0.475939 0.879478i \(-0.657892\pi\)
0.234794 + 0.972045i \(0.424558\pi\)
\(608\) −1.36880 + 2.68642i −0.0555122 + 0.108949i
\(609\) 15.1685 36.8615i 0.614657 1.49371i
\(610\) −5.76898 + 13.8056i −0.233579 + 0.558971i
\(611\) −0.807409 + 7.68199i −0.0326643 + 0.310780i
\(612\) 3.03186 + 0.158893i 0.122556 + 0.00642288i
\(613\) 25.8858 16.8104i 1.04552 0.678967i 0.0968687 0.995297i \(-0.469117\pi\)
0.948649 + 0.316330i \(0.102451\pi\)
\(614\) 4.75153 + 2.11552i 0.191756 + 0.0853754i
\(615\) 1.83583 + 7.75327i 0.0740278 + 0.312642i
\(616\) −8.76700 0.373794i −0.353232 0.0150606i
\(617\) −8.66713 8.66713i −0.348926 0.348926i 0.510784 0.859709i \(-0.329355\pi\)
−0.859709 + 0.510784i \(0.829355\pi\)
\(618\) −0.303995 + 0.116693i −0.0122285 + 0.00469407i
\(619\) 12.0302 + 2.55709i 0.483534 + 0.102778i 0.443228 0.896409i \(-0.353833\pi\)
0.0403060 + 0.999187i \(0.487167\pi\)
\(620\) −12.6617 + 2.30586i −0.508505 + 0.0926057i
\(621\) 22.8945 + 2.40631i 0.918726 + 0.0965620i
\(622\) 22.1370 3.50616i 0.887614 0.140584i
\(623\) −3.53897 + 27.3717i −0.141786 + 1.09662i
\(624\) 5.13013 1.66688i 0.205369 0.0667286i
\(625\) −21.8049 + 12.2288i −0.872198 + 0.489153i
\(626\) −4.95701 2.86193i −0.198122 0.114386i
\(627\) −13.3172 + 17.6249i −0.531836 + 0.703869i
\(628\) −3.97693 + 14.8421i −0.158697 + 0.592265i
\(629\) 5.33071 3.87299i 0.212549 0.154426i
\(630\) −2.30380 10.8813i −0.0917854 0.433522i
\(631\) 11.5337 35.4971i 0.459150 1.41312i −0.407043 0.913409i \(-0.633440\pi\)
0.866193 0.499710i \(-0.166560\pi\)
\(632\) −5.10200 + 4.13152i −0.202947 + 0.164343i
\(633\) 40.3019 + 15.4704i 1.60186 + 0.614895i
\(634\) −3.41453 + 3.07445i −0.135608 + 0.122102i
\(635\) 22.3276 40.8181i 0.886044 1.61982i
\(636\) 16.2882 + 22.4188i 0.645871 + 0.888965i
\(637\) −1.86551 16.9905i −0.0739141 0.673187i
\(638\) 20.4875 + 9.58587i 0.811110 + 0.379508i
\(639\) −1.72264 + 0.994569i −0.0681468 + 0.0393446i
\(640\) 2.11013 0.739835i 0.0834102 0.0292445i
\(641\) 8.95874 + 1.90424i 0.353849 + 0.0752129i 0.381407 0.924407i \(-0.375440\pi\)
−0.0275579 + 0.999620i \(0.508773\pi\)
\(642\) 2.69698 4.15298i 0.106441 0.163905i
\(643\) −5.95200 37.5795i −0.234724 1.48199i −0.770397 0.637564i \(-0.779942\pi\)
0.535673 0.844425i \(-0.320058\pi\)
\(644\) −24.2163 4.43014i −0.954255 0.174572i
\(645\) 21.5681 + 25.4131i 0.849244 + 1.00064i
\(646\) 3.25792 3.61829i 0.128181 0.142360i
\(647\) 1.09322 + 0.885276i 0.0429791 + 0.0348038i 0.650569 0.759447i \(-0.274530\pi\)
−0.607590 + 0.794251i \(0.707864\pi\)
\(648\) 2.87433 + 10.7271i 0.112914 + 0.421402i
\(649\) −1.66580 + 0.413035i −0.0653882 + 0.0162131i
\(650\) −10.9127 + 5.47477i −0.428030 + 0.214738i
\(651\) 0.958592 + 33.6260i 0.0375702 + 1.31791i
\(652\) −2.79842 + 5.49220i −0.109594 + 0.215091i
\(653\) −23.2183 + 35.7531i −0.908602 + 1.39913i 0.00827917 + 0.999966i \(0.497365\pi\)
−0.916882 + 0.399159i \(0.869302\pi\)
\(654\) 26.3983 11.7533i 1.03225 0.459589i
\(655\) 26.2952 + 3.54533i 1.02744 + 0.138528i
\(656\) 0.335361 + 1.57775i 0.0130936 + 0.0616007i
\(657\) 17.0262 + 8.67527i 0.664255 + 0.338455i
\(658\) 8.14274 + 1.93493i 0.317437 + 0.0754315i
\(659\) 1.15344i 0.0449318i 0.999748 + 0.0224659i \(0.00715171\pi\)
−0.999748 + 0.0224659i \(0.992848\pi\)
\(660\) 16.1701 2.63257i 0.629421 0.102473i
\(661\) 25.8858 + 14.9452i 1.00684 + 0.581301i 0.910266 0.414025i \(-0.135877\pi\)
0.0965766 + 0.995326i \(0.469211\pi\)
\(662\) −20.1373 + 24.8674i −0.782657 + 0.966500i
\(663\) −8.69885 + 0.455888i −0.337835 + 0.0177052i
\(664\) −1.07991 + 3.32363i −0.0419087 + 0.128982i
\(665\) −15.8866 8.11066i −0.616056 0.314518i
\(666\) −6.20609 4.50899i −0.240481 0.174720i
\(667\) 53.2205 + 34.5618i 2.06071 + 1.33824i
\(668\) 11.1553 + 17.1776i 0.431611 + 0.664622i
\(669\) 14.7001 1.54504i 0.568339 0.0597348i
\(670\) −0.238448 + 8.13580i −0.00921203 + 0.314314i
\(671\) −12.4340 + 18.3826i −0.480008 + 0.709653i
\(672\) −1.07844 5.74433i −0.0416016 0.221592i
\(673\) 0.597261 3.77096i 0.0230227 0.145360i −0.973499 0.228690i \(-0.926556\pi\)
0.996522 + 0.0833305i \(0.0265557\pi\)
\(674\) 9.36743 + 8.43447i 0.360820 + 0.324884i
\(675\) −4.96084 11.3320i −0.190943 0.436170i
\(676\) 6.42919 2.86246i 0.247277 0.110095i
\(677\) −0.556164 0.686805i −0.0213751 0.0263961i 0.766346 0.642428i \(-0.222073\pi\)
−0.787721 + 0.616032i \(0.788739\pi\)
\(678\) −33.2686 + 16.9512i −1.27767 + 0.651007i
\(679\) −10.2030 + 9.72738i −0.391556 + 0.373303i
\(680\) −3.60068 + 0.272078i −0.138080 + 0.0104337i
\(681\) −0.907888 1.57251i −0.0347904 0.0602587i
\(682\) −19.0858 0.357910i −0.730834 0.0137051i
\(683\) −11.2364 41.9349i −0.429950 1.60460i −0.752870 0.658169i \(-0.771331\pi\)
0.322920 0.946426i \(-0.395336\pi\)
\(684\) −5.17837 2.30556i −0.198000 0.0881553i
\(685\) −12.2734 20.1693i −0.468941 0.770630i
\(686\) −18.5168 0.355949i −0.706976 0.0135902i
\(687\) 5.07738 + 32.0573i 0.193714 + 1.22306i
\(688\) 4.24653 + 5.24402i 0.161897 + 0.199927i
\(689\) −20.4957 22.7628i −0.780826 0.867195i
\(690\) 45.9503 1.05979i 1.74930 0.0403457i
\(691\) 6.30105 14.1524i 0.239703 0.538382i −0.753133 0.657869i \(-0.771458\pi\)
0.992836 + 0.119486i \(0.0381248\pi\)
\(692\) −9.19487 + 9.19487i −0.349537 + 0.349537i
\(693\) −0.160834 16.4966i −0.00610959 0.626654i
\(694\) 26.8256i 1.01829i
\(695\) 32.5493 22.2213i 1.23467 0.842903i
\(696\) −3.13236 + 14.7366i −0.118732 + 0.558590i
\(697\) 0.136323 2.60120i 0.00516360 0.0985274i
\(698\) −23.2690 + 18.8429i −0.880745 + 0.713213i
\(699\) −50.1576 36.4417i −1.89714 1.37835i
\(700\) 4.36693 + 12.4872i 0.165054 + 0.471971i
\(701\) −0.121897 0.375161i −0.00460399 0.0141696i 0.948728 0.316093i \(-0.102371\pi\)
−0.953332 + 0.301924i \(0.902371\pi\)
\(702\) −2.16496 5.63991i −0.0817111 0.212865i
\(703\) −11.8831 + 3.18406i −0.448179 + 0.120089i
\(704\) 3.28494 0.457324i 0.123806 0.0172361i
\(705\) −15.6193 0.457776i −0.588255 0.0172408i
\(706\) −21.3585 29.3975i −0.803838 1.10639i
\(707\) 10.3740 + 6.32411i 0.390153 + 0.237843i
\(708\) −0.518968 1.01853i −0.0195040 0.0382788i
\(709\) 10.7691 + 1.13188i 0.404444 + 0.0425088i 0.304567 0.952491i \(-0.401488\pi\)
0.0998772 + 0.995000i \(0.468155\pi\)
\(710\) 1.88141 1.43435i 0.0706081 0.0538303i
\(711\) −8.25883 9.17236i −0.309730 0.343990i
\(712\) −0.545949 10.4173i −0.0204603 0.390406i
\(713\) −52.8954 8.37780i −1.98095 0.313751i
\(714\) −0.718697 + 9.41097i −0.0268966 + 0.352197i
\(715\) −17.4714 + 4.76225i −0.653395 + 0.178098i
\(716\) 1.52207 + 2.63630i 0.0568824 + 0.0985233i
\(717\) −11.5409 9.34563i −0.431002 0.349019i
\(718\) −2.51478 + 1.63312i −0.0938507 + 0.0609473i
\(719\) 19.4250 4.12891i 0.724429 0.153982i 0.169083 0.985602i \(-0.445919\pi\)
0.555346 + 0.831620i \(0.312586\pi\)
\(720\) 1.59664 + 3.88892i 0.0595034 + 0.144931i
\(721\) −0.131033 0.367316i −0.00487994 0.0136796i
\(722\) 8.82944 4.49882i 0.328598 0.167429i
\(723\) −2.48089 47.3382i −0.0922652 1.76053i
\(724\) 1.99076 + 18.9408i 0.0739859 + 0.703929i
\(725\) 1.99710 34.0412i 0.0741706 1.26426i
\(726\) 24.2828 + 0.911056i 0.901221 + 0.0338125i
\(727\) −21.6326 + 21.6326i −0.802309 + 0.802309i −0.983456 0.181147i \(-0.942019\pi\)
0.181147 + 0.983456i \(0.442019\pi\)
\(728\) 1.84921 + 6.19007i 0.0685364 + 0.229419i
\(729\) −4.26338 + 1.38526i −0.157903 + 0.0513057i
\(730\) −21.4001 7.65341i −0.792054 0.283265i
\(731\) −4.43212 9.95470i −0.163928 0.368188i
\(732\) −13.8001 5.29735i −0.510065 0.195796i
\(733\) −30.8373 20.0260i −1.13900 0.739677i −0.169687 0.985498i \(-0.554276\pi\)
−0.969315 + 0.245821i \(0.920942\pi\)
\(734\) −9.26924 28.5278i −0.342134 1.05298i
\(735\) 33.9890 6.35292i 1.25370 0.234331i
\(736\) 9.30479 0.342979
\(737\) −2.73098 + 11.7596i −0.100597 + 0.433170i
\(738\) −2.92918 + 0.784872i −0.107825 + 0.0288915i
\(739\) 5.82972 0.612728i 0.214450 0.0225396i 0.00330562 0.999995i \(-0.498948\pi\)
0.211144 + 0.977455i \(0.432281\pi\)
\(740\) 8.00454 + 4.37850i 0.294253 + 0.160957i
\(741\) 15.4676 + 5.02571i 0.568215 + 0.184624i
\(742\) −27.3081 + 18.8618i −1.00251 + 0.692438i
\(743\) 4.62614 0.732708i 0.169717 0.0268805i −0.0709977 0.997476i \(-0.522618\pi\)
0.240714 + 0.970596i \(0.422618\pi\)
\(744\) −2.64352 12.4368i −0.0969160 0.455954i
\(745\) −16.0406 15.3174i −0.587683 0.561186i
\(746\) 3.08741 + 29.3748i 0.113038 + 1.07549i
\(747\) −6.34628 1.70048i −0.232198 0.0622173i
\(748\) −5.31512 0.659615i −0.194340 0.0241179i
\(749\) 4.89542 + 3.34783i 0.178875 + 0.122327i
\(750\) −12.7072 21.1786i −0.464000 0.773334i
\(751\) −36.6072 + 40.6564i −1.33582 + 1.48357i −0.623008 + 0.782215i \(0.714090\pi\)
−0.712808 + 0.701359i \(0.752577\pi\)
\(752\) −3.15903 0.165558i −0.115198 0.00603727i
\(753\) 13.2097 34.4126i 0.481390 1.25406i
\(754\) 1.74070 16.5617i 0.0633927 0.603142i
\(755\) −8.39680 9.89373i −0.305591 0.360070i
\(756\) −6.36133 + 1.54284i −0.231359 + 0.0561124i
\(757\) 6.89601 + 1.09222i 0.250640 + 0.0396974i 0.280490 0.959857i \(-0.409503\pi\)
−0.0298503 + 0.999554i \(0.509503\pi\)
\(758\) −23.9859 6.42699i −0.871206 0.233439i
\(759\) 67.1223 + 11.9253i 2.43639 + 0.432860i
\(760\) 6.45821 + 1.93495i 0.234264 + 0.0701879i
\(761\) 12.7428 28.6207i 0.461924 1.03750i −0.521011 0.853550i \(-0.674445\pi\)
0.982936 0.183950i \(-0.0588883\pi\)
\(762\) 40.9544 + 20.8673i 1.48362 + 0.755943i
\(763\) 13.3182 + 31.9432i 0.482152 + 1.15642i
\(764\) 4.44938 6.12405i 0.160973 0.221560i
\(765\) −0.865106 6.73341i −0.0312780 0.243447i
\(766\) 3.05141 2.74750i 0.110252 0.0992713i
\(767\) 0.688176 + 1.05970i 0.0248486 + 0.0382635i
\(768\) 0.791665 + 2.06236i 0.0285667 + 0.0744189i
\(769\) −41.6715 −1.50271 −0.751356 0.659897i \(-0.770600\pi\)
−0.751356 + 0.659897i \(0.770600\pi\)
\(770\) 2.69001 + 19.4361i 0.0969413 + 0.700430i
\(771\) 7.33949 0.264325
\(772\) −6.78601