Properties

Label 475.2.v.b.113.31
Level $475$
Weight $2$
Character 475.113
Analytic conductor $3.793$
Analytic rank $0$
Dimension $368$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 475 = 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 475.v (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.79289409601\)
Analytic rank: \(0\)
Dimension: \(368\)
Relative dimension: \(46\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 113.31
Character \(\chi\) \(=\) 475.113
Dual form 475.2.v.b.227.31

$q$-expansion

\(f(q)\) \(=\) \(q+(0.187582 + 1.18434i) q^{2} +(1.65503 + 0.843279i) q^{3} +(0.534629 - 0.173712i) q^{4} +(-2.13438 - 0.666643i) q^{5} +(-0.688280 + 2.11831i) q^{6} +(-3.01019 + 3.01019i) q^{7} +(1.39479 + 2.73742i) q^{8} +(0.264646 + 0.364253i) q^{9} +O(q^{10})\) \(q+(0.187582 + 1.18434i) q^{2} +(1.65503 + 0.843279i) q^{3} +(0.534629 - 0.173712i) q^{4} +(-2.13438 - 0.666643i) q^{5} +(-0.688280 + 2.11831i) q^{6} +(-3.01019 + 3.01019i) q^{7} +(1.39479 + 2.73742i) q^{8} +(0.264646 + 0.364253i) q^{9} +(0.389164 - 2.65289i) q^{10} +(3.77293 + 2.74119i) q^{11} +(1.03131 + 0.163344i) q^{12} +(0.156437 - 0.987704i) q^{13} +(-4.12976 - 3.00044i) q^{14} +(-2.97030 - 2.90319i) q^{15} +(-2.07085 + 1.50456i) q^{16} +(2.40957 + 4.72904i) q^{17} +(-0.381759 + 0.381759i) q^{18} +(-3.96595 + 1.80865i) q^{19} +(-1.25691 + 0.0143599i) q^{20} +(-7.52038 + 2.44352i) q^{21} +(-2.53878 + 4.98264i) q^{22} +(-0.503584 - 3.17950i) q^{23} +5.70671i q^{24} +(4.11117 + 2.84574i) q^{25} +1.19913 q^{26} +(-0.740894 - 4.67782i) q^{27} +(-1.08643 + 2.13224i) q^{28} +(-2.74099 - 8.43591i) q^{29} +(2.88121 - 4.06244i) q^{30} +(6.28092 + 2.04079i) q^{31} +(2.17449 + 2.17449i) q^{32} +(3.93272 + 7.71839i) q^{33} +(-5.14882 + 3.74084i) q^{34} +(8.43162 - 4.41817i) q^{35} +(0.204762 + 0.148769i) q^{36} +(9.94479 + 1.57510i) q^{37} +(-2.88600 - 4.35778i) q^{38} +(1.09182 - 1.50276i) q^{39} +(-1.15212 - 6.77253i) q^{40} +(-4.13217 - 5.68745i) q^{41} +(-4.30466 - 8.44836i) q^{42} +(5.07203 + 5.07203i) q^{43} +(2.49330 + 0.810121i) q^{44} +(-0.322028 - 0.953880i) q^{45} +(3.67116 - 1.19283i) q^{46} +(-2.49935 - 1.27348i) q^{47} +(-4.69608 + 0.743786i) q^{48} -11.1225i q^{49} +(-2.59916 + 5.40285i) q^{50} +9.85864i q^{51} +(-0.0879399 - 0.555230i) q^{52} +(-8.76292 - 4.46493i) q^{53} +(5.40117 - 1.75495i) q^{54} +(-6.22548 - 8.36595i) q^{55} +(-12.4387 - 4.04159i) q^{56} +(-8.08897 - 0.351040i) q^{57} +(9.47685 - 4.82870i) q^{58} +(5.92819 - 4.30708i) q^{59} +(-2.09233 - 1.03616i) q^{60} +(-3.69771 - 2.68654i) q^{61} +(-1.23882 + 7.82158i) q^{62} +(-1.89311 - 0.299838i) q^{63} +(-5.17657 + 7.12494i) q^{64} +(-0.992342 + 2.00385i) q^{65} +(-8.40352 + 6.10552i) q^{66} +(4.30315 - 2.19256i) q^{67} +(2.10971 + 2.10971i) q^{68} +(1.84776 - 5.68684i) q^{69} +(6.81425 + 9.15717i) q^{70} +(9.47857 - 3.07977i) q^{71} +(-0.627992 + 1.23250i) q^{72} +(0.656834 + 4.14709i) q^{73} +12.0735i q^{74} +(4.40436 + 8.17666i) q^{75} +(-1.80613 + 1.65589i) q^{76} +(-19.6088 + 3.10572i) q^{77} +(1.98459 + 1.01120i) q^{78} +(-2.59945 - 8.00028i) q^{79} +(5.42299 - 1.83079i) q^{80} +(3.13591 - 9.65133i) q^{81} +(5.96078 - 5.96078i) q^{82} +(-4.58832 + 2.33787i) q^{83} +(-3.59615 + 2.61276i) q^{84} +(-1.99035 - 11.6999i) q^{85} +(-5.05560 + 6.95844i) q^{86} +(2.57741 - 16.2731i) q^{87} +(-2.24138 + 14.1515i) q^{88} +(1.54269 + 1.12083i) q^{89} +(1.06932 - 0.560322i) q^{90} +(2.50227 + 3.44408i) q^{91} +(-0.821548 - 1.61238i) q^{92} +(8.67415 + 8.67415i) q^{93} +(1.03941 - 3.19897i) q^{94} +(9.67058 - 1.21647i) q^{95} +(1.76515 + 5.43256i) q^{96} +(3.84212 - 7.54059i) q^{97} +(13.1729 - 2.08637i) q^{98} +2.09975i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 368 q - 20 q^{4} - 16 q^{5} - 12 q^{6} - 8 q^{7} - 20 q^{9} + O(q^{10}) \) \( 368 q - 20 q^{4} - 16 q^{5} - 12 q^{6} - 8 q^{7} - 20 q^{9} - 12 q^{11} + 56 q^{16} + 20 q^{17} + 10 q^{19} - 52 q^{20} + 32 q^{23} - 16 q^{25} - 32 q^{26} - 40 q^{28} - 60 q^{30} - 84 q^{35} - 96 q^{36} + 16 q^{38} - 100 q^{39} - 20 q^{42} + 56 q^{43} - 160 q^{44} + 100 q^{45} - 56 q^{47} - 20 q^{54} + 20 q^{55} + 70 q^{57} - 72 q^{58} - 12 q^{61} + 72 q^{62} - 160 q^{63} + 40 q^{64} + 36 q^{66} + 176 q^{68} - 48 q^{73} - 32 q^{76} - 156 q^{77} + 288 q^{80} + 16 q^{81} - 108 q^{82} + 136 q^{83} - 88 q^{85} + 152 q^{87} - 200 q^{92} - 164 q^{93} + 46 q^{95} + 44 q^{96} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(401\)
\(\chi(n)\) \(e\left(\frac{19}{20}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.187582 + 1.18434i 0.132640 + 0.837458i 0.960856 + 0.277048i \(0.0893562\pi\)
−0.828216 + 0.560409i \(0.810644\pi\)
\(3\) 1.65503 + 0.843279i 0.955532 + 0.486868i 0.860972 0.508652i \(-0.169856\pi\)
0.0945591 + 0.995519i \(0.469856\pi\)
\(4\) 0.534629 0.173712i 0.267315 0.0868558i
\(5\) −2.13438 0.666643i −0.954525 0.298132i
\(6\) −0.688280 + 2.11831i −0.280989 + 0.864795i
\(7\) −3.01019 + 3.01019i −1.13774 + 1.13774i −0.148891 + 0.988854i \(0.547570\pi\)
−0.988854 + 0.148891i \(0.952430\pi\)
\(8\) 1.39479 + 2.73742i 0.493132 + 0.967826i
\(9\) 0.264646 + 0.364253i 0.0882152 + 0.121418i
\(10\) 0.389164 2.65289i 0.123064 0.838918i
\(11\) 3.77293 + 2.74119i 1.13758 + 0.826501i 0.986780 0.162063i \(-0.0518147\pi\)
0.150801 + 0.988564i \(0.451815\pi\)
\(12\) 1.03131 + 0.163344i 0.297715 + 0.0471534i
\(13\) 0.156437 0.987704i 0.0433878 0.273940i −0.956451 0.291893i \(-0.905715\pi\)
0.999839 + 0.0179531i \(0.00571496\pi\)
\(14\) −4.12976 3.00044i −1.10372 0.801902i
\(15\) −2.97030 2.90319i −0.766928 0.749602i
\(16\) −2.07085 + 1.50456i −0.517712 + 0.376140i
\(17\) 2.40957 + 4.72904i 0.584406 + 1.14696i 0.974121 + 0.226025i \(0.0725733\pi\)
−0.389716 + 0.920935i \(0.627427\pi\)
\(18\) −0.381759 + 0.381759i −0.0899814 + 0.0899814i
\(19\) −3.96595 + 1.80865i −0.909852 + 0.414933i
\(20\) −1.25691 + 0.0143599i −0.281053 + 0.00321098i
\(21\) −7.52038 + 2.44352i −1.64108 + 0.533220i
\(22\) −2.53878 + 4.98264i −0.541271 + 1.06230i
\(23\) −0.503584 3.17950i −0.105005 0.662973i −0.982903 0.184125i \(-0.941055\pi\)
0.877898 0.478847i \(-0.158945\pi\)
\(24\) 5.70671i 1.16488i
\(25\) 4.11117 + 2.84574i 0.822235 + 0.569148i
\(26\) 1.19913 0.235168
\(27\) −0.740894 4.67782i −0.142585 0.900247i
\(28\) −1.08643 + 2.13224i −0.205316 + 0.402956i
\(29\) −2.74099 8.43591i −0.508990 1.56651i −0.793959 0.607972i \(-0.791983\pi\)
0.284969 0.958537i \(-0.408017\pi\)
\(30\) 2.88121 4.06244i 0.526034 0.741697i
\(31\) 6.28092 + 2.04079i 1.12809 + 0.366538i 0.812849 0.582475i \(-0.197916\pi\)
0.315238 + 0.949013i \(0.397916\pi\)
\(32\) 2.17449 + 2.17449i 0.384400 + 0.384400i
\(33\) 3.93272 + 7.71839i 0.684598 + 1.34360i
\(34\) −5.14882 + 3.74084i −0.883015 + 0.641548i
\(35\) 8.43162 4.41817i 1.42520 0.746808i
\(36\) 0.204762 + 0.148769i 0.0341271 + 0.0247948i
\(37\) 9.94479 + 1.57510i 1.63491 + 0.258945i 0.905256 0.424867i \(-0.139679\pi\)
0.729658 + 0.683812i \(0.239679\pi\)
\(38\) −2.88600 4.35778i −0.468171 0.706926i
\(39\) 1.09182 1.50276i 0.174831 0.240634i
\(40\) −1.15212 6.77253i −0.182167 1.07083i
\(41\) −4.13217 5.68745i −0.645337 0.888231i 0.353549 0.935416i \(-0.384975\pi\)
−0.998886 + 0.0471855i \(0.984975\pi\)
\(42\) −4.30466 8.44836i −0.664223 1.30361i
\(43\) 5.07203 + 5.07203i 0.773477 + 0.773477i 0.978713 0.205236i \(-0.0657961\pi\)
−0.205236 + 0.978713i \(0.565796\pi\)
\(44\) 2.49330 + 0.810121i 0.375879 + 0.122130i
\(45\) −0.322028 0.953880i −0.0480051 0.142196i
\(46\) 3.67116 1.19283i 0.541284 0.175874i
\(47\) −2.49935 1.27348i −0.364568 0.185757i 0.262104 0.965040i \(-0.415584\pi\)
−0.626672 + 0.779283i \(0.715584\pi\)
\(48\) −4.69608 + 0.743786i −0.677821 + 0.107356i
\(49\) 11.1225i 1.58893i
\(50\) −2.59916 + 5.40285i −0.367576 + 0.764079i
\(51\) 9.85864i 1.38049i
\(52\) −0.0879399 0.555230i −0.0121951 0.0769966i
\(53\) −8.76292 4.46493i −1.20368 0.613306i −0.267069 0.963677i \(-0.586055\pi\)
−0.936611 + 0.350372i \(0.886055\pi\)
\(54\) 5.40117 1.75495i 0.735006 0.238818i
\(55\) −6.22548 8.36595i −0.839443 1.12807i
\(56\) −12.4387 4.04159i −1.66220 0.540080i
\(57\) −8.08897 0.351040i −1.07141 0.0464964i
\(58\) 9.47685 4.82870i 1.24437 0.634039i
\(59\) 5.92819 4.30708i 0.771785 0.560734i −0.130718 0.991420i \(-0.541728\pi\)
0.902502 + 0.430685i \(0.141728\pi\)
\(60\) −2.09233 1.03616i −0.270118 0.133767i
\(61\) −3.69771 2.68654i −0.473443 0.343976i 0.325339 0.945598i \(-0.394522\pi\)
−0.798782 + 0.601621i \(0.794522\pi\)
\(62\) −1.23882 + 7.82158i −0.157330 + 0.993342i
\(63\) −1.89311 0.299838i −0.238509 0.0377761i
\(64\) −5.17657 + 7.12494i −0.647072 + 0.890618i
\(65\) −0.992342 + 2.00385i −0.123085 + 0.248547i
\(66\) −8.40352 + 6.10552i −1.03440 + 0.751537i
\(67\) 4.30315 2.19256i 0.525713 0.267864i −0.170929 0.985283i \(-0.554677\pi\)
0.696642 + 0.717419i \(0.254677\pi\)
\(68\) 2.10971 + 2.10971i 0.255840 + 0.255840i
\(69\) 1.84776 5.68684i 0.222445 0.684615i
\(70\) 6.81425 + 9.15717i 0.814459 + 1.09449i
\(71\) 9.47857 3.07977i 1.12490 0.365502i 0.313264 0.949666i \(-0.398578\pi\)
0.811635 + 0.584164i \(0.198578\pi\)
\(72\) −0.627992 + 1.23250i −0.0740095 + 0.145252i
\(73\) 0.656834 + 4.14709i 0.0768766 + 0.485380i 0.995846 + 0.0910513i \(0.0290227\pi\)
−0.918970 + 0.394328i \(0.870977\pi\)
\(74\) 12.0735i 1.40352i
\(75\) 4.40436 + 8.17666i 0.508571 + 0.944159i
\(76\) −1.80613 + 1.65589i −0.207178 + 0.189944i
\(77\) −19.6088 + 3.10572i −2.23463 + 0.353930i
\(78\) 1.98459 + 1.01120i 0.224710 + 0.114496i
\(79\) −2.59945 8.00028i −0.292461 0.900102i −0.984062 0.177823i \(-0.943095\pi\)
0.691602 0.722279i \(-0.256905\pi\)
\(80\) 5.42299 1.83079i 0.606308 0.204688i
\(81\) 3.13591 9.65133i 0.348434 1.07237i
\(82\) 5.96078 5.96078i 0.658258 0.658258i
\(83\) −4.58832 + 2.33787i −0.503634 + 0.256614i −0.687299 0.726375i \(-0.741204\pi\)
0.183665 + 0.982989i \(0.441204\pi\)
\(84\) −3.59615 + 2.61276i −0.392372 + 0.285075i
\(85\) −1.99035 11.6999i −0.215884 1.26903i
\(86\) −5.05560 + 6.95844i −0.545160 + 0.750348i
\(87\) 2.57741 16.2731i 0.276327 1.74466i
\(88\) −2.24138 + 14.1515i −0.238932 + 1.50855i
\(89\) 1.54269 + 1.12083i 0.163525 + 0.118808i 0.666538 0.745471i \(-0.267775\pi\)
−0.503013 + 0.864279i \(0.667775\pi\)
\(90\) 1.06932 0.560322i 0.112716 0.0590631i
\(91\) 2.50227 + 3.44408i 0.262309 + 0.361038i
\(92\) −0.821548 1.61238i −0.0856523 0.168102i
\(93\) 8.67415 + 8.67415i 0.899467 + 0.899467i
\(94\) 1.03941 3.19897i 0.107207 0.329949i
\(95\) 9.67058 1.21647i 0.992181 0.124807i
\(96\) 1.76515 + 5.43256i 0.180154 + 0.554458i
\(97\) 3.84212 7.54059i 0.390108 0.765631i −0.609523 0.792768i \(-0.708639\pi\)
0.999632 + 0.0271372i \(0.00863910\pi\)
\(98\) 13.1729 2.08637i 1.33066 0.210756i
\(99\) 2.09975i 0.211033i
\(100\) 2.69229 + 0.807259i 0.269229 + 0.0807259i
\(101\) −8.41393 −0.837218 −0.418609 0.908167i \(-0.637482\pi\)
−0.418609 + 0.908167i \(0.637482\pi\)
\(102\) −11.6760 + 1.84930i −1.15610 + 0.183108i
\(103\) 15.9750 + 8.13964i 1.57406 + 0.802023i 0.999861 0.0166934i \(-0.00531393\pi\)
0.574198 + 0.818716i \(0.305314\pi\)
\(104\) 2.92196 0.949402i 0.286522 0.0930966i
\(105\) 17.6803 0.201995i 1.72542 0.0197127i
\(106\) 3.64425 11.2159i 0.353961 1.08938i
\(107\) 2.57468 + 2.57468i 0.248904 + 0.248904i 0.820521 0.571617i \(-0.193684\pi\)
−0.571617 + 0.820521i \(0.693684\pi\)
\(108\) −1.20870 2.37220i −0.116307 0.228265i
\(109\) −3.13994 + 2.28130i −0.300751 + 0.218509i −0.727918 0.685664i \(-0.759512\pi\)
0.427167 + 0.904173i \(0.359512\pi\)
\(110\) 8.74038 8.94240i 0.833363 0.852625i
\(111\) 15.1307 + 10.9931i 1.43614 + 1.04342i
\(112\) 1.70464 10.7627i 0.161073 1.01698i
\(113\) −1.09001 + 6.88207i −0.102540 + 0.647411i 0.881866 + 0.471500i \(0.156287\pi\)
−0.984406 + 0.175911i \(0.943713\pi\)
\(114\) −1.10159 9.64597i −0.103173 0.903427i
\(115\) −1.04475 + 7.12199i −0.0974238 + 0.664129i
\(116\) −2.93083 4.03394i −0.272121 0.374542i
\(117\) 0.401175 0.204409i 0.0370886 0.0188976i
\(118\) 6.21309 + 6.21309i 0.571961 + 0.571961i
\(119\) −21.4886 6.98206i −1.96985 0.640044i
\(120\) 3.80434 12.1803i 0.347287 1.11190i
\(121\) 3.32167 + 10.2231i 0.301970 + 0.929368i
\(122\) 2.48817 4.88330i 0.225268 0.442113i
\(123\) −2.04276 12.8975i −0.184189 1.16293i
\(124\) 3.71247 0.333390
\(125\) −6.87772 8.81459i −0.615162 0.788401i
\(126\) 2.29833i 0.204752i
\(127\) −0.342944 2.16527i −0.0304314 0.192136i 0.967789 0.251761i \(-0.0810096\pi\)
−0.998221 + 0.0596246i \(0.981010\pi\)
\(128\) −3.92937 2.00211i −0.347310 0.176963i
\(129\) 4.11722 + 12.6715i 0.362501 + 1.11566i
\(130\) −2.55939 0.799389i −0.224473 0.0701110i
\(131\) 0.398357 1.22602i 0.0348046 0.107118i −0.932145 0.362085i \(-0.882065\pi\)
0.966950 + 0.254968i \(0.0820649\pi\)
\(132\) 3.44332 + 3.44332i 0.299703 + 0.299703i
\(133\) 6.49390 17.3827i 0.563092 1.50727i
\(134\) 3.40394 + 4.68512i 0.294056 + 0.404733i
\(135\) −1.53709 + 10.4782i −0.132291 + 0.901817i
\(136\) −9.58456 + 13.1920i −0.821869 + 1.13121i
\(137\) 1.58400 10.0010i 0.135330 0.854439i −0.822847 0.568263i \(-0.807616\pi\)
0.958177 0.286176i \(-0.0923844\pi\)
\(138\) 7.08178 + 1.12164i 0.602841 + 0.0954806i
\(139\) −12.8917 + 17.7439i −1.09346 + 1.50502i −0.249677 + 0.968329i \(0.580325\pi\)
−0.843781 + 0.536687i \(0.819675\pi\)
\(140\) 3.74030 3.82676i 0.316113 0.323420i
\(141\) −3.06260 4.21530i −0.257917 0.354993i
\(142\) 5.42552 + 10.6482i 0.455299 + 0.893575i
\(143\) 3.29771 3.29771i 0.275769 0.275769i
\(144\) −1.09608 0.356139i −0.0913402 0.0296782i
\(145\) 0.226585 + 19.8327i 0.0188169 + 1.64702i
\(146\) −4.78837 + 1.55583i −0.396288 + 0.128762i
\(147\) 9.37937 18.4080i 0.773597 1.51827i
\(148\) 5.59039 0.885431i 0.459527 0.0727820i
\(149\) 7.60174i 0.622759i 0.950286 + 0.311380i \(0.100791\pi\)
−0.950286 + 0.311380i \(0.899209\pi\)
\(150\) −8.85780 + 6.75006i −0.723236 + 0.551140i
\(151\) 3.75748i 0.305779i 0.988243 + 0.152890i \(0.0488579\pi\)
−0.988243 + 0.152890i \(0.951142\pi\)
\(152\) −10.4827 8.33382i −0.850259 0.675962i
\(153\) −1.08489 + 2.12921i −0.0877080 + 0.172137i
\(154\) −7.35649 22.6409i −0.592802 1.82446i
\(155\) −12.0454 8.54297i −0.967510 0.686188i
\(156\) 0.322671 0.993080i 0.0258344 0.0795101i
\(157\) 9.42285 9.42285i 0.752025 0.752025i −0.222832 0.974857i \(-0.571530\pi\)
0.974857 + 0.222832i \(0.0715300\pi\)
\(158\) 8.98748 4.57935i 0.715005 0.364313i
\(159\) −10.7377 14.7792i −0.851556 1.17207i
\(160\) −3.19159 6.09081i −0.252317 0.481521i
\(161\) 11.0868 + 8.05503i 0.873762 + 0.634825i
\(162\) 12.0187 + 1.90358i 0.944281 + 0.149559i
\(163\) −0.664082 0.105180i −0.0520149 0.00823835i 0.130373 0.991465i \(-0.458383\pi\)
−0.182388 + 0.983227i \(0.558383\pi\)
\(164\) −3.19716 2.32287i −0.249656 0.181386i
\(165\) −3.24851 19.0957i −0.252896 1.48660i
\(166\) −3.62952 4.99561i −0.281706 0.387734i
\(167\) −6.59158 + 3.35858i −0.510072 + 0.259895i −0.690031 0.723779i \(-0.742403\pi\)
0.179959 + 0.983674i \(0.442403\pi\)
\(168\) −17.1783 17.1783i −1.32533 1.32533i
\(169\) 11.4126 + 3.70819i 0.877896 + 0.285246i
\(170\) 13.4834 4.55195i 1.03413 0.349119i
\(171\) −1.70838 0.965961i −0.130643 0.0738689i
\(172\) 3.59272 + 1.83058i 0.273943 + 0.139581i
\(173\) −13.6618 + 2.16381i −1.03869 + 0.164512i −0.652406 0.757870i \(-0.726240\pi\)
−0.386280 + 0.922382i \(0.626240\pi\)
\(174\) 19.7564 1.49773
\(175\) −20.9416 + 3.80919i −1.58304 + 0.287948i
\(176\) −11.9375 −0.899820
\(177\) 13.4434 2.12923i 1.01047 0.160042i
\(178\) −1.03807 + 2.03733i −0.0778066 + 0.152704i
\(179\) 0.926718 + 2.85214i 0.0692662 + 0.213179i 0.979698 0.200480i \(-0.0642503\pi\)
−0.910432 + 0.413660i \(0.864250\pi\)
\(180\) −0.337866 0.454032i −0.0251830 0.0338416i
\(181\) 1.20583 + 0.391798i 0.0896288 + 0.0291222i 0.353488 0.935439i \(-0.384995\pi\)
−0.263859 + 0.964561i \(0.584995\pi\)
\(182\) −3.60960 + 3.60960i −0.267561 + 0.267561i
\(183\) −3.85431 7.56451i −0.284919 0.559184i
\(184\) 8.00126 5.81326i 0.589861 0.428559i
\(185\) −20.1760 9.99149i −1.48337 0.734589i
\(186\) −8.64606 + 11.9003i −0.633960 + 0.872571i
\(187\) −3.87209 + 24.4474i −0.283155 + 1.78777i
\(188\) −1.55745 0.246675i −0.113588 0.0179906i
\(189\) 16.3114 + 11.8509i 1.18648 + 0.862026i
\(190\) 3.25475 + 11.2251i 0.236124 + 0.814355i
\(191\) 2.25946 1.64159i 0.163489 0.118781i −0.503033 0.864267i \(-0.667783\pi\)
0.666521 + 0.745486i \(0.267783\pi\)
\(192\) −14.5757 + 7.42669i −1.05191 + 0.535975i
\(193\) −14.6319 + 14.6319i −1.05323 + 1.05323i −0.0547274 + 0.998501i \(0.517429\pi\)
−0.998501 + 0.0547274i \(0.982571\pi\)
\(194\) 9.65136 + 3.13592i 0.692928 + 0.225146i
\(195\) −3.33216 + 2.47961i −0.238621 + 0.177568i
\(196\) −1.93211 5.94641i −0.138008 0.424744i
\(197\) 12.0251 + 6.12711i 0.856755 + 0.436538i 0.826455 0.563003i \(-0.190354\pi\)
0.0302995 + 0.999541i \(0.490354\pi\)
\(198\) −2.48682 + 0.393874i −0.176731 + 0.0279914i
\(199\) 8.63811i 0.612340i 0.951977 + 0.306170i \(0.0990475\pi\)
−0.951977 + 0.306170i \(0.900952\pi\)
\(200\) −2.05579 + 15.2232i −0.145366 + 1.07645i
\(201\) 8.97077 0.632750
\(202\) −1.57830 9.96499i −0.111049 0.701134i
\(203\) 33.6446 + 17.1428i 2.36139 + 1.20319i
\(204\) 1.71256 + 5.27072i 0.119903 + 0.369024i
\(205\) 5.02814 + 14.8939i 0.351181 + 1.04023i
\(206\) −6.64353 + 20.4467i −0.462877 + 1.42459i
\(207\) 1.02487 1.02487i 0.0712337 0.0712337i
\(208\) 1.16210 + 2.28075i 0.0805773 + 0.158142i
\(209\) −19.9211 4.04754i −1.37797 0.279974i
\(210\) 3.55574 + 20.9017i 0.245369 + 1.44235i
\(211\) 11.9212 16.4081i 0.820689 1.12958i −0.168896 0.985634i \(-0.554020\pi\)
0.989585 0.143948i \(-0.0459797\pi\)
\(212\) −5.46053 0.864863i −0.375031 0.0593990i
\(213\) 18.2844 + 2.89597i 1.25283 + 0.198428i
\(214\) −2.56634 + 3.53227i −0.175432 + 0.241461i
\(215\) −7.44441 14.2069i −0.507705 0.968901i
\(216\) 11.7718 8.55271i 0.800969 0.581938i
\(217\) −25.0499 + 12.7636i −1.70050 + 0.866448i
\(218\) −3.29083 3.29083i −0.222883 0.222883i
\(219\) −2.41007 + 7.41744i −0.162858 + 0.501224i
\(220\) −4.78159 3.39125i −0.322375 0.228638i
\(221\) 5.04783 1.64014i 0.339554 0.110328i
\(222\) −10.1813 + 19.9820i −0.683327 + 1.34111i
\(223\) −11.8794 + 1.88151i −0.795503 + 0.125995i −0.540940 0.841061i \(-0.681931\pi\)
−0.254562 + 0.967056i \(0.581931\pi\)
\(224\) −13.0913 −0.874698
\(225\) 0.0514326 + 2.25062i 0.00342884 + 0.150041i
\(226\) −8.35520 −0.555780
\(227\) −2.54433 16.0643i −0.168873 1.06622i −0.915894 0.401421i \(-0.868516\pi\)
0.747020 0.664801i \(-0.231484\pi\)
\(228\) −4.38558 + 1.21747i −0.290442 + 0.0806290i
\(229\) −21.2903 + 6.91764i −1.40690 + 0.457130i −0.911416 0.411485i \(-0.865010\pi\)
−0.495486 + 0.868616i \(0.665010\pi\)
\(230\) −8.63086 + 0.0986060i −0.569102 + 0.00650189i
\(231\) −35.0721 11.3956i −2.30757 0.749776i
\(232\) 19.2696 19.2696i 1.26511 1.26511i
\(233\) 10.6528 5.42785i 0.697886 0.355591i −0.0687846 0.997632i \(-0.521912\pi\)
0.766670 + 0.642041i \(0.221912\pi\)
\(234\) 0.317343 + 0.436785i 0.0207454 + 0.0285536i
\(235\) 4.48561 + 4.38428i 0.292609 + 0.285999i
\(236\) 2.42119 3.33249i 0.157606 0.216927i
\(237\) 2.44431 15.4328i 0.158775 1.00247i
\(238\) 4.23830 26.7596i 0.274728 1.73456i
\(239\) 16.7584 23.0659i 1.08401 1.49201i 0.228980 0.973431i \(-0.426461\pi\)
0.855029 0.518580i \(-0.173539\pi\)
\(240\) 10.5191 + 1.54309i 0.679003 + 0.0996058i
\(241\) 12.5139 + 17.2239i 0.806091 + 1.10949i 0.991915 + 0.126906i \(0.0405047\pi\)
−0.185824 + 0.982583i \(0.559495\pi\)
\(242\) −11.4845 + 5.85166i −0.738253 + 0.376159i
\(243\) 3.28193 3.28193i 0.210536 0.210536i
\(244\) −2.44359 0.793970i −0.156435 0.0508287i
\(245\) −7.41473 + 23.7396i −0.473710 + 1.51667i
\(246\) 14.8919 4.83866i 0.949470 0.308502i
\(247\) 1.16599 + 4.20013i 0.0741900 + 0.267248i
\(248\) 3.17403 + 20.0400i 0.201551 + 1.27254i
\(249\) −9.56528 −0.606175
\(250\) 9.14937 9.79904i 0.578657 0.619746i
\(251\) −3.86020 −0.243654 −0.121827 0.992551i \(-0.538875\pi\)
−0.121827 + 0.992551i \(0.538875\pi\)
\(252\) −1.06420 + 0.168552i −0.0670380 + 0.0106178i
\(253\) 6.81565 13.3765i 0.428496 0.840972i
\(254\) 2.50009 0.812328i 0.156870 0.0509700i
\(255\) 6.57219 21.0421i 0.411567 1.31771i
\(256\) −3.80886 + 11.7225i −0.238054 + 0.732654i
\(257\) −21.2564 21.2564i −1.32594 1.32594i −0.908878 0.417062i \(-0.863060\pi\)
−0.417062 0.908878i \(-0.636940\pi\)
\(258\) −14.2351 + 7.25314i −0.886238 + 0.451561i
\(259\) −34.6771 + 25.1944i −2.15473 + 1.56550i
\(260\) −0.182443 + 1.24370i −0.0113147 + 0.0771309i
\(261\) 2.34742 3.23094i 0.145301 0.199990i
\(262\) 1.52675 + 0.241814i 0.0943230 + 0.0149393i
\(263\) −21.1846 3.35531i −1.30630 0.206897i −0.535802 0.844344i \(-0.679991\pi\)
−0.770495 + 0.637447i \(0.779991\pi\)
\(264\) −15.6432 + 21.5310i −0.962773 + 1.32514i
\(265\) 15.7269 + 15.3716i 0.966096 + 0.944271i
\(266\) 21.8052 + 4.43034i 1.33696 + 0.271642i
\(267\) 1.60803 + 3.15593i 0.0984097 + 0.193140i
\(268\) 1.91971 1.91971i 0.117265 0.117265i
\(269\) 0.844201 2.59818i 0.0514719 0.158414i −0.922017 0.387150i \(-0.873459\pi\)
0.973488 + 0.228736i \(0.0734594\pi\)
\(270\) −12.6981 + 0.145073i −0.772781 + 0.00882888i
\(271\) −8.58288 26.4154i −0.521373 1.60462i −0.771378 0.636377i \(-0.780432\pi\)
0.250005 0.968244i \(-0.419568\pi\)
\(272\) −12.1050 6.16779i −0.733972 0.373977i
\(273\) 1.23701 + 7.81017i 0.0748672 + 0.472693i
\(274\) 12.1417 0.733507
\(275\) 7.71044 + 22.0063i 0.464957 + 1.32703i
\(276\) 3.36133i 0.202328i
\(277\) −24.9923 + 3.95838i −1.50164 + 0.237836i −0.852457 0.522797i \(-0.824889\pi\)
−0.649182 + 0.760633i \(0.724889\pi\)
\(278\) −23.4331 11.9398i −1.40542 0.716099i
\(279\) 0.918851 + 2.82793i 0.0550102 + 0.169304i
\(280\) 23.8547 + 16.9185i 1.42559 + 1.01107i
\(281\) −8.58857 2.79060i −0.512351 0.166473i 0.0414201 0.999142i \(-0.486812\pi\)
−0.553771 + 0.832669i \(0.686812\pi\)
\(282\) 4.41788 4.41788i 0.263081 0.263081i
\(283\) 2.41022 1.22807i 0.143273 0.0730011i −0.380884 0.924623i \(-0.624380\pi\)
0.524157 + 0.851622i \(0.324380\pi\)
\(284\) 4.53253 3.29308i 0.268956 0.195408i
\(285\) 17.0309 + 6.14171i 1.00882 + 0.363803i
\(286\) 4.52422 + 3.28704i 0.267523 + 0.194367i
\(287\) 29.5589 + 4.68168i 1.74481 + 0.276351i
\(288\) −0.216597 + 1.36754i −0.0127631 + 0.0805829i
\(289\) −6.56546 + 9.03658i −0.386204 + 0.531564i
\(290\) −23.4462 + 3.98861i −1.37681 + 0.234219i
\(291\) 12.7177 9.23991i 0.745522 0.541653i
\(292\) 1.07156 + 2.10305i 0.0627083 + 0.123072i
\(293\) −4.73072 + 4.73072i −0.276372 + 0.276372i −0.831659 0.555287i \(-0.812608\pi\)
0.555287 + 0.831659i \(0.312608\pi\)
\(294\) 23.5609 + 7.65539i 1.37410 + 0.446471i
\(295\) −15.5243 + 5.24097i −0.903860 + 0.305141i
\(296\) 9.55915 + 29.4200i 0.555614 + 1.71001i
\(297\) 10.0275 19.6800i 0.581853 1.14195i
\(298\) −9.00308 + 1.42595i −0.521534 + 0.0826029i
\(299\) −3.21919 −0.186170
\(300\) 3.77508 + 3.60639i 0.217954 + 0.208215i
\(301\) −30.5355 −1.76004
\(302\) −4.45015 + 0.704834i −0.256077 + 0.0405586i
\(303\) −13.9253 7.09530i −0.799988 0.407614i
\(304\) 5.49167 9.71245i 0.314969 0.557047i
\(305\) 6.10136 + 8.19916i 0.349363 + 0.469482i
\(306\) −2.72522 0.885479i −0.155791 0.0506195i
\(307\) 1.70943 + 1.70943i 0.0975623 + 0.0975623i 0.754203 0.656641i \(-0.228023\pi\)
−0.656641 + 0.754203i \(0.728023\pi\)
\(308\) −9.94392 + 5.06668i −0.566607 + 0.288701i
\(309\) 19.5750 + 26.9427i 1.11358 + 1.53272i
\(310\) 7.85832 15.8684i 0.446322 0.901265i
\(311\) 11.8023 + 8.57485i 0.669245 + 0.486235i 0.869772 0.493453i \(-0.164266\pi\)
−0.200527 + 0.979688i \(0.564266\pi\)
\(312\) 5.63654 + 0.892740i 0.319106 + 0.0505415i
\(313\) −14.7381 2.33429i −0.833047 0.131942i −0.274680 0.961536i \(-0.588572\pi\)
−0.558367 + 0.829594i \(0.688572\pi\)
\(314\) 12.9274 + 9.39234i 0.729538 + 0.530041i
\(315\) 3.84072 + 1.90200i 0.216400 + 0.107165i
\(316\) −2.77949 3.82563i −0.156358 0.215209i
\(317\) 13.5901 6.92448i 0.763294 0.388918i −0.0285887 0.999591i \(-0.509101\pi\)
0.791882 + 0.610674i \(0.209101\pi\)
\(318\) 15.4894 15.4894i 0.868605 0.868605i
\(319\) 12.7829 39.3417i 0.715704 2.20271i
\(320\) 15.7986 11.7564i 0.883168 0.657204i
\(321\) 2.09000 + 6.43235i 0.116652 + 0.359019i
\(322\) −7.46025 + 14.6416i −0.415743 + 0.815942i
\(323\) −18.1094 14.3971i −1.00763 0.801076i
\(324\) 5.70463i 0.316924i
\(325\) 3.45389 3.61544i 0.191587 0.200549i
\(326\) 0.806231i 0.0446530i
\(327\) −7.12046 + 1.12777i −0.393762 + 0.0623658i
\(328\) 9.80546 19.2443i 0.541416 1.06259i
\(329\) 11.3570 3.69010i 0.626129 0.203442i
\(330\) 22.0065 7.42936i 1.21142 0.408973i
\(331\) −16.2780 5.28906i −0.894722 0.290713i −0.174665 0.984628i \(-0.555884\pi\)
−0.720057 + 0.693915i \(0.755884\pi\)
\(332\) −2.04694 + 2.04694i −0.112340 + 0.112340i
\(333\) 2.05811 + 4.03927i 0.112784 + 0.221351i
\(334\) −5.21417 7.17669i −0.285307 0.392691i
\(335\) −10.6462 + 1.81110i −0.581665 + 0.0989511i
\(336\) 11.8972 16.3750i 0.649043 0.893331i
\(337\) 2.18231 + 0.345643i 0.118878 + 0.0188284i 0.215590 0.976484i \(-0.430833\pi\)
−0.0967121 + 0.995312i \(0.530833\pi\)
\(338\) −2.25097 + 14.2121i −0.122437 + 0.773036i
\(339\) −7.60751 + 10.4708i −0.413183 + 0.568698i
\(340\) −3.09651 5.90936i −0.167932 0.320480i
\(341\) 18.1033 + 24.9170i 0.980346 + 1.34933i
\(342\) 0.823569 2.20450i 0.0445335 0.119206i
\(343\) 12.4095 + 12.4095i 0.670049 + 0.670049i
\(344\) −6.80989 + 20.9587i −0.367165 + 1.13002i
\(345\) −7.73493 + 10.9061i −0.416434 + 0.587164i
\(346\) −5.12540 15.7743i −0.275543 0.848034i
\(347\) 8.40680 + 4.28348i 0.451301 + 0.229949i 0.664841 0.746985i \(-0.268499\pi\)
−0.213540 + 0.976934i \(0.568499\pi\)
\(348\) −1.44887 9.14780i −0.0776676 0.490374i
\(349\) 0.194268i 0.0103989i −0.999986 0.00519945i \(-0.998345\pi\)
0.999986 0.00519945i \(-0.00165504\pi\)
\(350\) −8.43966 24.0876i −0.451119 1.28753i
\(351\) −4.73620 −0.252800
\(352\) 2.24350 + 14.1649i 0.119579 + 0.754993i
\(353\) −4.58486 + 8.99830i −0.244028 + 0.478931i −0.980238 0.197822i \(-0.936613\pi\)
0.736211 + 0.676753i \(0.236613\pi\)
\(354\) 5.04347 + 15.5222i 0.268057 + 0.824996i
\(355\) −22.2840 + 0.254591i −1.18271 + 0.0135123i
\(356\) 1.01947 + 0.331246i 0.0540318 + 0.0175560i
\(357\) −29.6764 29.6764i −1.57064 1.57064i
\(358\) −3.20409 + 1.63256i −0.169341 + 0.0862836i
\(359\) −9.84753 13.5540i −0.519733 0.715351i 0.465790 0.884895i \(-0.345770\pi\)
−0.985523 + 0.169545i \(0.945770\pi\)
\(360\) 2.16201 2.21199i 0.113948 0.116582i
\(361\) 12.4576 14.3460i 0.655662 0.755055i
\(362\) −0.237832 + 1.50161i −0.0125002 + 0.0789231i
\(363\) −3.12343 + 19.7205i −0.163937 + 1.03506i
\(364\) 1.93606 + 1.40663i 0.101477 + 0.0737276i
\(365\) 1.36269 9.28934i 0.0713266 0.486226i
\(366\) 8.23598 5.98379i 0.430501 0.312778i
\(367\) 6.76341 + 13.2739i 0.353047 + 0.692894i 0.997418 0.0718194i \(-0.0228805\pi\)
−0.644371 + 0.764713i \(0.722881\pi\)
\(368\) 5.82660 + 5.82660i 0.303733 + 0.303733i
\(369\) 0.978111 3.01032i 0.0509184 0.156711i
\(370\) 8.04873 25.7695i 0.418433 1.33969i
\(371\) 39.8184 12.9378i 2.06727 0.671695i
\(372\) 6.14425 + 3.13065i 0.318565 + 0.162317i
\(373\) 6.99542 1.10797i 0.362209 0.0573683i 0.0273223 0.999627i \(-0.491302\pi\)
0.334887 + 0.942258i \(0.391302\pi\)
\(374\) −29.6805 −1.53474
\(375\) −3.94967 20.3882i −0.203960 1.05284i
\(376\) 8.61803i 0.444441i
\(377\) −8.76097 + 1.38760i −0.451213 + 0.0714651i
\(378\) −10.9758 + 21.5413i −0.564536 + 1.10796i
\(379\) 0.196415 + 0.604503i 0.0100891 + 0.0310512i 0.955974 0.293450i \(-0.0948035\pi\)
−0.945885 + 0.324501i \(0.894803\pi\)
\(380\) 4.95886 2.33026i 0.254384 0.119540i
\(381\) 1.25834 3.87278i 0.0644668 0.198408i
\(382\) 2.36804 + 2.36804i 0.121160 + 0.121160i
\(383\) −1.52512 2.99321i −0.0779298 0.152946i 0.848754 0.528788i \(-0.177353\pi\)
−0.926684 + 0.375842i \(0.877353\pi\)
\(384\) −4.81488 6.62711i −0.245708 0.338188i
\(385\) 43.9230 + 6.44325i 2.23852 + 0.328378i
\(386\) −20.0739 14.5845i −1.02173 0.742334i
\(387\) −0.505213 + 3.18979i −0.0256814 + 0.162146i
\(388\) 0.744224 4.69884i 0.0377822 0.238548i
\(389\) 6.30101 8.67260i 0.319474 0.439718i −0.618832 0.785523i \(-0.712394\pi\)
0.938307 + 0.345805i \(0.112394\pi\)
\(390\) −3.56176 3.48129i −0.180357 0.176282i
\(391\) 13.8226 10.0427i 0.699038 0.507881i
\(392\) 30.4470 15.5135i 1.53780 0.783550i
\(393\) 1.69317 1.69317i 0.0854090 0.0854090i
\(394\) −5.00091 + 15.3912i −0.251942 + 0.775398i
\(395\) 0.214885 + 18.8086i 0.0108120 + 0.946362i
\(396\) 0.364751 + 1.12259i 0.0183294 + 0.0564121i
\(397\) 16.7336 + 8.52621i 0.839836 + 0.427918i 0.820329 0.571892i \(-0.193790\pi\)
0.0195073 + 0.999810i \(0.493790\pi\)
\(398\) −10.2305 + 1.62035i −0.512809 + 0.0812209i
\(399\) 25.4060 23.2926i 1.27189 1.16609i
\(400\) −12.7952 + 0.292404i −0.639760 + 0.0146202i
\(401\) 4.39390i 0.219421i −0.993964 0.109710i \(-0.965008\pi\)
0.993964 0.109710i \(-0.0349923\pi\)
\(402\) 1.68275 + 10.6245i 0.0839281 + 0.529901i
\(403\) 2.99827 5.88443i 0.149354 0.293124i
\(404\) −4.49834 + 1.46160i −0.223801 + 0.0727172i
\(405\) −13.1272 + 18.5091i −0.652297 + 0.919724i
\(406\) −13.9918 + 43.0624i −0.694403 + 2.13715i
\(407\) 33.2034 + 33.2034i 1.64583 + 1.64583i
\(408\) −26.9873 + 13.7507i −1.33607 + 0.680761i
\(409\) 1.23888 0.900098i 0.0612586 0.0445070i −0.556735 0.830690i \(-0.687946\pi\)
0.617993 + 0.786183i \(0.287946\pi\)
\(410\) −16.6963 + 8.74886i −0.824571 + 0.432076i
\(411\) 11.0552 15.2161i 0.545311 0.750556i
\(412\) 9.95463 + 1.57666i 0.490429 + 0.0776764i
\(413\) −4.87984 + 30.8101i −0.240121 + 1.51607i
\(414\) 1.40605 + 1.02156i 0.0691036 + 0.0502067i
\(415\) 11.3518 1.93113i 0.557236 0.0947953i
\(416\) 2.48793 1.80758i 0.121981 0.0886241i
\(417\) −36.2992 + 18.4953i −1.77758 + 0.905721i
\(418\) 1.05684 24.3527i 0.0516919 1.19113i
\(419\) −23.5244 7.64353i −1.14924 0.373411i −0.328383 0.944545i \(-0.606504\pi\)
−0.820857 + 0.571134i \(0.806504\pi\)
\(420\) 9.41734 3.17927i 0.459519 0.155133i
\(421\) 10.9640 3.56241i 0.534351 0.173621i −0.0293972 0.999568i \(-0.509359\pi\)
0.563748 + 0.825947i \(0.309359\pi\)
\(422\) 21.6691 + 11.0409i 1.05483 + 0.537464i
\(423\) −0.197572 1.24742i −0.00960627 0.0606516i
\(424\) 30.2155i 1.46739i
\(425\) −3.55148 + 26.2989i −0.172272 + 1.27568i
\(426\) 22.1983i 1.07551i
\(427\) 19.2178 3.04380i 0.930015 0.147300i
\(428\) 1.82375 + 0.929248i 0.0881544 + 0.0449169i
\(429\) 8.23871 2.67692i 0.397768 0.129243i
\(430\) 15.4294 11.4817i 0.744071 0.553696i
\(431\) −7.31002 2.37517i −0.352111 0.114408i 0.127620 0.991823i \(-0.459266\pi\)
−0.479732 + 0.877415i \(0.659266\pi\)
\(432\) 8.57234 + 8.57234i 0.412437 + 0.412437i
\(433\) −4.21651 8.27537i −0.202632 0.397689i 0.767219 0.641385i \(-0.221640\pi\)
−0.969852 + 0.243697i \(0.921640\pi\)
\(434\) −19.8154 27.2735i −0.951169 1.30917i
\(435\) −16.3495 + 33.0148i −0.783899 + 1.58294i
\(436\) −1.28241 + 1.76509i −0.0614165 + 0.0845326i
\(437\) 7.74780 + 11.6990i 0.370628 + 0.559637i
\(438\) −9.23689 1.46298i −0.441356 0.0699039i
\(439\) 1.25203 + 0.909651i 0.0597560 + 0.0434153i 0.617262 0.786757i \(-0.288242\pi\)
−0.557506 + 0.830173i \(0.688242\pi\)
\(440\) 14.2180 28.7105i 0.677814 1.36872i
\(441\) 4.05140 2.94352i 0.192924 0.140167i
\(442\) 2.88937 + 5.67071i 0.137433 + 0.269728i
\(443\) −2.99943 2.99943i −0.142507 0.142507i 0.632254 0.774761i \(-0.282130\pi\)
−0.774761 + 0.632254i \(0.782130\pi\)
\(444\) 9.99893 + 3.24885i 0.474528 + 0.154184i
\(445\) −2.54550 3.42071i −0.120668 0.162157i
\(446\) −4.45671 13.7163i −0.211031 0.649488i
\(447\) −6.41039 + 12.5811i −0.303201 + 0.595066i
\(448\) −5.86496 37.0299i −0.277093 1.74950i
\(449\) −21.0078 −0.991419 −0.495709 0.868488i \(-0.665092\pi\)
−0.495709 + 0.868488i \(0.665092\pi\)
\(450\) −2.65586 + 0.483089i −0.125199 + 0.0227730i
\(451\) 32.7855i 1.54381i
\(452\) 0.612743 + 3.86870i 0.0288210 + 0.181969i
\(453\) −3.16860 + 6.21873i −0.148874 + 0.292182i
\(454\) 18.5483 6.02672i 0.870517 0.282848i
\(455\) −3.04483 9.01911i −0.142744 0.422822i
\(456\) −10.3214 22.6326i −0.483346 1.05987i
\(457\) −14.5072 + 14.5072i −0.678617 + 0.678617i −0.959687 0.281070i \(-0.909311\pi\)
0.281070 + 0.959687i \(0.409311\pi\)
\(458\) −12.1865 23.9174i −0.569439 1.11759i
\(459\) 20.3364 14.7752i 0.949221 0.689649i
\(460\) 0.678616 + 3.98911i 0.0316406 + 0.185993i
\(461\) −4.86896 3.53751i −0.226770 0.164758i 0.468599 0.883411i \(-0.344759\pi\)
−0.695369 + 0.718653i \(0.744759\pi\)
\(462\) 6.91744 43.6750i 0.321828 2.03194i
\(463\) −22.2629 3.52609i −1.03464 0.163871i −0.384061 0.923308i \(-0.625475\pi\)
−0.650582 + 0.759436i \(0.725475\pi\)
\(464\) 18.3685 + 13.3455i 0.852737 + 0.619549i
\(465\) −12.7314 24.2965i −0.590404 1.12672i
\(466\) 8.42671 + 11.5984i 0.390360 + 0.537284i
\(467\) −8.96944 17.6035i −0.415056 0.814593i −0.999994 0.00351526i \(-0.998881\pi\)
0.584938 0.811078i \(-0.301119\pi\)
\(468\) 0.178972 0.178972i 0.00827297 0.00827297i
\(469\) −6.35326 + 19.5533i −0.293366 + 0.902888i
\(470\) −4.35107 + 6.13492i −0.200700 + 0.282983i
\(471\) 23.5412 7.64900i 1.08472 0.352447i
\(472\) 20.0589 + 10.2205i 0.923284 + 0.470437i
\(473\) 5.23299 + 33.0398i 0.240613 + 1.51917i
\(474\) 18.7362 0.860583
\(475\) −21.4517 3.85041i −0.984270 0.176669i
\(476\) −12.7013 −0.582162
\(477\) −0.692702 4.37355i −0.0317166 0.200251i
\(478\) 30.4616 + 15.5209i 1.39328 + 0.709911i
\(479\) 28.7906 9.35464i 1.31548 0.427425i 0.434538 0.900654i \(-0.356912\pi\)
0.880939 + 0.473229i \(0.156912\pi\)
\(480\) −0.145916 12.7719i −0.00666014 0.582954i
\(481\) 3.11146 9.57610i 0.141871 0.436633i
\(482\) −18.0516 + 18.0516i −0.822230 + 0.822230i
\(483\) 11.5563 + 22.6806i 0.525831 + 1.03200i
\(484\) 3.55173 + 4.88853i 0.161442 + 0.222206i
\(485\) −13.2274 + 13.5332i −0.600627 + 0.614510i
\(486\) 4.50257 + 3.27131i 0.204241 + 0.148390i
\(487\) 15.0523 + 2.38405i 0.682084 + 0.108031i 0.487855 0.872925i \(-0.337780\pi\)
0.194229 + 0.980956i \(0.437780\pi\)
\(488\) 2.19669 13.8693i 0.0994394 0.627836i
\(489\) −1.01038 0.734083i −0.0456909 0.0331964i
\(490\) −29.5068 4.32847i −1.33298 0.195540i
\(491\) −4.35920 + 3.16714i −0.196728 + 0.142931i −0.681788 0.731549i \(-0.738798\pi\)
0.485061 + 0.874481i \(0.338798\pi\)
\(492\) −3.33256 6.54052i −0.150243 0.294869i
\(493\) 33.2891 33.2891i 1.49927 1.49927i
\(494\) −4.75568 + 2.16880i −0.213968 + 0.0975788i
\(495\) 1.39978 4.48166i 0.0629155 0.201436i
\(496\) −16.0773 + 5.22384i −0.721894 + 0.234557i
\(497\) −19.2616 + 37.8030i −0.864000 + 1.69570i
\(498\) −1.79427 11.3286i −0.0804032 0.507646i
\(499\) 8.15846i 0.365223i −0.983185 0.182611i \(-0.941545\pi\)
0.983185 0.182611i \(-0.0584551\pi\)
\(500\) −5.20823 3.51780i −0.232919 0.157321i
\(501\) −13.7415 −0.613924
\(502\) −0.724102 4.57180i −0.0323183 0.204050i
\(503\) −4.90289 + 9.62247i −0.218609 + 0.429045i −0.974101 0.226113i \(-0.927398\pi\)
0.755492 + 0.655158i \(0.227398\pi\)
\(504\) −1.81969 5.60044i −0.0810556 0.249464i
\(505\) 17.9585 + 5.60909i 0.799145 + 0.249601i
\(506\) 17.1208 + 5.56290i 0.761114 + 0.247301i
\(507\) 15.7612 + 15.7612i 0.699980 + 0.699980i
\(508\) −0.559480 1.09804i −0.0248229 0.0487177i
\(509\) 19.4589 14.1377i 0.862500 0.626643i −0.0660638 0.997815i \(-0.521044\pi\)
0.928564 + 0.371172i \(0.121044\pi\)
\(510\) 26.1539 + 3.83663i 1.15811 + 0.169889i
\(511\) −14.4607 10.5063i −0.639704 0.464772i
\(512\) −23.3094 3.69184i −1.03014 0.163158i
\(513\) 11.3989 + 17.2120i 0.503273 + 0.759929i
\(514\) 21.1876 29.1622i 0.934546 1.28629i
\(515\) −28.6704 28.0227i −1.26337 1.23483i
\(516\) 4.40237 + 6.05934i 0.193804 + 0.266748i
\(517\) −5.93902 11.6560i −0.261198 0.512629i
\(518\) −36.3436 36.3436i −1.59685 1.59685i
\(519\) −24.4353 7.93952i −1.07259 0.348506i
\(520\) −6.86949 + 0.0784827i −0.301247 + 0.00344169i
\(521\) 3.34948 1.08831i 0.146743 0.0476798i −0.234724 0.972062i \(-0.575419\pi\)
0.381468 + 0.924382i \(0.375419\pi\)
\(522\) 4.26688 + 2.17408i 0.186756 + 0.0951570i
\(523\) 8.35374 1.32310i 0.365283 0.0578552i 0.0289051 0.999582i \(-0.490798\pi\)
0.336378 + 0.941727i \(0.390798\pi\)
\(524\) 0.724664i 0.0316571i
\(525\) −37.8712 11.3553i −1.65284 0.495588i
\(526\) 25.7192i 1.12141i
\(527\) 5.48329 + 34.6201i 0.238856 + 1.50808i
\(528\) −19.7568 10.0666i −0.859806 0.438093i
\(529\) 12.0186 3.90510i 0.522550 0.169787i
\(530\) −15.2552 + 21.5095i −0.662643 + 0.934313i
\(531\) 3.13774 + 1.01951i 0.136166 + 0.0442431i
\(532\) 0.452259 10.4213i 0.0196079 0.451823i
\(533\) −6.26394 + 3.19164i −0.271321 + 0.138245i
\(534\) −3.43607 + 2.49645i −0.148693 + 0.108032i
\(535\) −3.77896 7.21174i −0.163379 0.311791i
\(536\) 12.0039 + 8.72138i 0.518491 + 0.376706i
\(537\) −0.871410 + 5.50187i −0.0376041 + 0.237423i
\(538\) 3.23550 + 0.512453i 0.139492 + 0.0220934i
\(539\) 30.4889 41.9644i 1.31325 1.80753i
\(540\) 0.998409 + 5.86895i 0.0429647 + 0.252559i
\(541\) 20.1670 14.6522i 0.867045 0.629945i −0.0627471 0.998029i \(-0.519986\pi\)
0.929793 + 0.368084i \(0.119986\pi\)
\(542\) 29.6749 15.1201i 1.27465 0.649465i
\(543\) 1.66529 + 1.66529i 0.0714645 + 0.0714645i
\(544\) −5.04368 + 15.5229i −0.216246 + 0.665537i
\(545\) 8.22263 2.77594i 0.352219 0.118908i
\(546\) −9.01788 + 2.93009i −0.385930 + 0.125396i
\(547\) −9.34971 + 18.3498i −0.399765 + 0.784582i −0.999883 0.0153292i \(-0.995120\pi\)
0.600118 + 0.799912i \(0.295120\pi\)
\(548\) −0.890432 5.62197i −0.0380374 0.240158i
\(549\) 2.05788i 0.0878283i
\(550\) −24.6167 + 13.2598i −1.04966 + 0.565399i
\(551\) 26.1282 + 28.4989i 1.11310 + 1.21409i
\(552\) 18.1445 2.87381i 0.772282 0.122317i
\(553\) 31.9072 + 16.2575i 1.35683 + 0.691341i
\(554\) −9.37618 28.8569i −0.398356 1.22601i
\(555\) −24.9662 33.5502i −1.05976 1.42413i
\(556\) −3.80996 + 11.7258i −0.161578 + 0.497286i
\(557\) −30.6599 + 30.6599i −1.29910 + 1.29910i −0.370116 + 0.928986i \(0.620682\pi\)
−0.928986 + 0.370116i \(0.879318\pi\)
\(558\) −3.17689 + 1.61870i −0.134488 + 0.0685252i
\(559\) 5.80311 4.21621i 0.245445 0.178327i
\(560\) −10.8132 + 21.8352i −0.456941 + 0.922708i
\(561\) −27.0244 + 37.1960i −1.14097 + 1.57041i
\(562\) 1.69397 10.6953i 0.0714557 0.451153i
\(563\) 4.63959 29.2932i 0.195535 1.23456i −0.673265 0.739401i \(-0.735109\pi\)
0.868801 0.495162i \(-0.164891\pi\)
\(564\) −2.36960 1.72162i −0.0997783 0.0724932i
\(565\) 6.91439 13.9623i 0.290890 0.587399i
\(566\) 1.90657 + 2.62417i 0.0801390 + 0.110302i
\(567\) 19.6127 + 38.4920i 0.823654 + 1.61651i
\(568\) 21.6512 + 21.6512i 0.908465 + 0.908465i
\(569\) 13.5198 41.6096i 0.566779 1.74436i −0.0958287 0.995398i \(-0.530550\pi\)
0.662607 0.748967i \(-0.269450\pi\)
\(570\) −4.07920 + 21.3225i −0.170859 + 0.893103i
\(571\) −4.28206 13.1788i −0.179199 0.551517i 0.820602 0.571501i \(-0.193639\pi\)
−0.999800 + 0.0199838i \(0.993639\pi\)
\(572\) 1.19020 2.33591i 0.0497649 0.0976691i
\(573\) 5.12379 0.811528i 0.214049 0.0339021i
\(574\) 35.8861i 1.49786i
\(575\) 6.97773 14.5046i 0.290991 0.604882i
\(576\) −3.96524 −0.165218
\(577\) −6.49990 + 1.02948i −0.270594 + 0.0428579i −0.290257 0.956949i \(-0.593741\pi\)
0.0196627 + 0.999807i \(0.493741\pi\)
\(578\) −11.9340 6.08067i −0.496388 0.252922i
\(579\) −36.5551 + 11.8775i −1.51918 + 0.493610i
\(580\) 3.56631 + 10.5638i 0.148083 + 0.438638i
\(581\) 6.77430 20.8491i 0.281045 0.864968i
\(582\) 13.3288 + 13.3288i 0.552498 + 0.552498i
\(583\) −20.8227 40.8668i −0.862386 1.69253i
\(584\) −10.4362 + 7.58233i −0.431853 + 0.313759i
\(585\) −0.992528 + 0.168846i −0.0410360 + 0.00698092i
\(586\) −6.49020 4.71541i −0.268108 0.194792i
\(587\) 1.37099 8.65606i 0.0565866 0.357274i −0.943106 0.332492i \(-0.892111\pi\)
0.999693 0.0247824i \(-0.00788930\pi\)
\(588\) 1.81679 11.4708i 0.0749233 0.473047i
\(589\) −28.6009 + 3.26628i −1.17848 + 0.134585i
\(590\) −9.11919 17.4030i −0.375431 0.716471i
\(591\) 14.7351 + 20.2811i 0.606120 + 0.834252i
\(592\) −22.9640 + 11.7007i −0.943815 + 0.480898i
\(593\) 24.6145 + 24.6145i 1.01080 + 1.01080i 0.999941 + 0.0108566i \(0.00345584\pi\)
0.0108566 + 0.999941i \(0.496544\pi\)
\(594\) 25.1889 + 8.18437i 1.03351 + 0.335809i
\(595\) 41.2103 + 29.2276i 1.68946 + 1.19821i
\(596\) 1.32051 + 4.06412i 0.0540903 + 0.166473i
\(597\) −7.28434 + 14.2963i −0.298128 + 0.585110i
\(598\) −0.603860 3.81262i −0.0246937 0.155910i
\(599\) −19.0454 −0.778172 −0.389086 0.921201i \(-0.627209\pi\)
−0.389086 + 0.921201i \(0.627209\pi\)
\(600\) −16.2398 + 23.4613i −0.662988 + 0.957803i
\(601\) 14.5002i 0.591474i 0.955269 + 0.295737i \(0.0955653\pi\)
−0.955269 + 0.295737i \(0.904435\pi\)
\(602\) −5.72790 36.1646i −0.233452 1.47396i
\(603\) 1.93746 + 0.987183i 0.0788993 + 0.0402012i
\(604\) 0.652718 + 2.00886i 0.0265587 + 0.0817393i
\(605\) −0.274587 24.0343i −0.0111636 0.977132i
\(606\) 5.79114 17.8233i 0.235249 0.724022i
\(607\) −29.2397 29.2397i −1.18680 1.18680i −0.977946 0.208858i \(-0.933025\pi\)
−0.208858 0.977946i \(-0.566975\pi\)
\(608\) −12.5568 4.69105i −0.509247 0.190247i
\(609\) 41.2266 + 56.7436i 1.67059 + 2.29937i
\(610\) −8.56612 + 8.76411i −0.346832 + 0.354849i
\(611\) −1.64882 + 2.26940i −0.0667039 + 0.0918101i
\(612\) −0.210144 + 1.32680i −0.00849457 + 0.0536326i
\(613\) −13.8572 2.19476i −0.559686 0.0886455i −0.129819 0.991538i \(-0.541440\pi\)
−0.429867 + 0.902892i \(0.641440\pi\)
\(614\) −1.70389 + 2.34521i −0.0687636 + 0.0946449i
\(615\) −4.23798 + 28.8899i −0.170892 + 1.16495i
\(616\) −35.8517 49.3457i −1.44451 1.98819i
\(617\) 14.0602 + 27.5946i 0.566041 + 1.11092i 0.979697 + 0.200485i \(0.0642518\pi\)
−0.413655 + 0.910433i \(0.635748\pi\)
\(618\) −28.2375 + 28.2375i −1.13588 + 1.13588i
\(619\) 14.3001 + 4.64639i 0.574770 + 0.186754i 0.581956 0.813220i \(-0.302287\pi\)
−0.00718624 + 0.999974i \(0.502287\pi\)
\(620\) −7.92384 2.47490i −0.318229 0.0993942i
\(621\) −14.5001 + 4.71135i −0.581867 + 0.189060i
\(622\) −7.94168 + 15.5864i −0.318432 + 0.624959i
\(623\) −8.01772 + 1.26988i −0.321223 + 0.0508767i
\(624\) 4.75469i 0.190340i
\(625\) 8.80350 + 23.3987i 0.352140 + 0.935947i
\(626\) 17.8929i 0.715142i
\(627\) −29.5568 23.4979i −1.18039 0.938415i
\(628\) 3.40087 6.67459i 0.135710 0.266345i
\(629\) 16.5139 + 50.8246i 0.658453 + 2.02651i
\(630\) −1.53217 + 4.90552i −0.0610430 + 0.195441i
\(631\) 1.04590 3.21894i 0.0416365 0.128144i −0.928078 0.372387i \(-0.878539\pi\)
0.969714 + 0.244243i \(0.0785394\pi\)
\(632\) 18.2745 18.2745i 0.726920 0.726920i
\(633\) 33.5666 17.1030i 1.33415 0.679784i
\(634\) 10.7502 + 14.7964i 0.426945 + 0.587640i
\(635\) −0.711485 + 4.85013i −0.0282344 + 0.192471i
\(636\) −8.30801 6.03612i −0.329434 0.239348i
\(637\) −10.9857 1.73997i −0.435270 0.0689400i
\(638\) 48.9919 + 7.75956i 1.93961 + 0.307204i
\(639\) 3.63028 + 2.63755i 0.143612 + 0.104340i
\(640\) 7.05207 + 6.89276i 0.278758 + 0.272460i
\(641\) 18.2586 + 25.1308i 0.721172 + 0.992608i 0.999484 + 0.0321175i \(0.0102251\pi\)
−0.278312 + 0.960491i \(0.589775\pi\)
\(642\) −7.22606 + 3.68186i −0.285190 + 0.145312i
\(643\) −11.9691 11.9691i −0.472015 0.472015i 0.430551 0.902566i \(-0.358319\pi\)
−0.902566 + 0.430551i \(0.858319\pi\)
\(644\) 7.32658 + 2.38055i 0.288708 + 0.0938068i
\(645\) −0.340351 29.7905i −0.0134013 1.17300i
\(646\) 13.6541 24.1484i 0.537214 0.950106i
\(647\) −7.22561 3.68163i −0.284068 0.144740i 0.306151 0.951983i \(-0.400959\pi\)
−0.590219 + 0.807243i \(0.700959\pi\)
\(648\) 30.7937 4.87724i 1.20969 0.191596i
\(649\) 34.1732 1.34142
\(650\) 4.92981 + 3.41240i 0.193363 + 0.133845i
\(651\) −52.2217 −2.04673
\(652\) −0.373309 + 0.0591263i −0.0146199 + 0.00231557i
\(653\) −3.47488 + 6.81984i −0.135983 + 0.266881i −0.948949 0.315430i \(-0.897851\pi\)
0.812966 + 0.582311i \(0.197851\pi\)
\(654\) −2.67133 8.22152i −0.104457 0.321487i
\(655\) −1.66756 + 2.35123i −0.0651571 + 0.0918700i
\(656\) 17.1142 + 5.56075i 0.668198 + 0.217111i
\(657\) −1.33676 + 1.33676i −0.0521520 + 0.0521520i
\(658\) 6.50070 + 12.7583i 0.253424 + 0.497372i
\(659\) 34.6606 25.1824i 1.35018 0.980966i 0.351182 0.936307i \(-0.385780\pi\)
0.999002 0.0446587i \(-0.0142200\pi\)
\(660\) −5.05390 9.64483i −0.196723 0.375424i
\(661\) −23.2840 + 32.0477i −0.905643 + 1.24651i 0.0629892 + 0.998014i \(0.479937\pi\)
−0.968633 + 0.248497i \(0.920063\pi\)
\(662\) 3.21060 20.2709i 0.124784 0.787852i
\(663\) 9.73741 + 1.54225i 0.378170 + 0.0598962i
\(664\) −12.7995 9.29935i −0.496715 0.360885i
\(665\) −25.4485 + 32.7721i −0.986850 + 1.27085i
\(666\) −4.39782 + 3.19520i −0.170412 + 0.123812i
\(667\) −25.4417 + 12.9632i −0.985106 + 0.501937i
\(668\) −2.94063 + 2.94063i −0.113776 + 0.113776i
\(669\) −21.2474 6.90369i −0.821471 0.266912i
\(670\) −4.14200 12.2690i −0.160020 0.473995i
\(671\) −6.58686 20.2723i −0.254283 0.782602i
\(672\) −21.6665 11.0396i −0.835802 0.425862i
\(673\) 25.7091 4.07192i 0.991012 0.156961i 0.360182 0.932882i \(-0.382715\pi\)
0.630830 + 0.775921i \(0.282715\pi\)
\(674\) 2.64944i 0.102052i
\(675\) 10.2659 21.3397i 0.395136 0.821367i
\(676\) 6.74570 0.259450
\(677\) −1.60339 10.1234i −0.0616232 0.389073i −0.999152 0.0411666i \(-0.986893\pi\)
0.937529 0.347907i \(-0.113107\pi\)
\(678\) −13.8281 7.04577i −0.531065 0.270591i
\(679\) 11.1331 + 34.2641i 0.427249 + 1.31494i
\(680\) 29.2515 21.7673i 1.12174 0.834738i
\(681\) 9.33572 28.7324i 0.357746 1.10103i
\(682\) −26.1145 + 26.1145i −0.999974 + 0.999974i
\(683\) 9.68997 + 19.0176i 0.370776 + 0.727690i 0.998721 0.0505687i \(-0.0161034\pi\)
−0.627944 + 0.778258i \(0.716103\pi\)
\(684\) −1.08115 0.219666i −0.0413387 0.00839914i
\(685\) −10.0479 + 20.2899i −0.383911 + 0.775237i
\(686\) −12.3693 + 17.0249i −0.472262 + 0.650013i
\(687\) −41.0696 6.50478i −1.56690 0.248173i
\(688\) −18.1346 2.87223i −0.691374 0.109503i
\(689\) −5.78087 + 7.95669i −0.220234 + 0.303126i
\(690\) −14.3675 7.11503i −0.546961 0.270865i
\(691\) −35.0848 + 25.4906i −1.33469 + 0.969709i −0.335068 + 0.942194i \(0.608759\pi\)
−0.999621 + 0.0275146i \(0.991241\pi\)
\(692\) −6.92811 + 3.53005i −0.263367 + 0.134192i
\(693\) −6.32064 6.32064i −0.240101 0.240101i
\(694\) −3.49615 + 10.7600i −0.132712 + 0.408446i
\(695\) 39.3446 29.2781i 1.49243 1.11058i
\(696\) 48.1413 15.6421i 1.82479 0.592911i
\(697\) 16.9394 33.2455i 0.641627 1.25926i
\(698\) 0.230080 0.0364410i 0.00870864 0.00137931i
\(699\) 22.2078 0.839977
\(700\) −10.5343 + 5.67431i −0.398160 + 0.214469i
\(701\) 21.6070 0.816084 0.408042 0.912963i \(-0.366212\pi\)
0.408042 + 0.912963i \(0.366212\pi\)
\(702\) −0.888425 5.60929i −0.0335314 0.211709i
\(703\) −42.2894 + 11.7399i −1.59497 + 0.442777i
\(704\) −39.0617 + 12.6919i −1.47219 + 0.478345i
\(705\) 3.72665 + 11.0387i 0.140354 + 0.415743i
\(706\) −11.5171 3.74214i −0.433452 0.140837i
\(707\) 25.3275 25.3275i 0.952540 0.952540i
\(708\) 6.81737 3.47362i 0.256212 0.130547i
\(709\) 16.4727 + 22.6728i 0.618647 + 0.851494i 0.997254 0.0740633i \(-0.0235967\pi\)
−0.378607 + 0.925558i \(0.623597\pi\)
\(710\) −4.48159 26.3442i −0.168191 0.988678i
\(711\) 2.22620 3.06410i 0.0834889 0.114913i
\(712\) −0.916464 + 5.78633i −0.0343459 + 0.216852i
\(713\) 3.32574 20.9979i 0.124550 0.786378i
\(714\) 29.5803 40.7138i 1.10701 1.52367i
\(715\) −9.23698 + 4.84018i −0.345443 + 0.181013i
\(716\) 0.990902 + 1.36386i 0.0370317 + 0.0509698i
\(717\) 47.1866 24.0428i 1.76222 0.897894i
\(718\) 14.2053 14.2053i 0.530139 0.530139i
\(719\) 41.5309 + 13.4942i 1.54884 + 0.503250i 0.953799 0.300444i \(-0.0971348\pi\)
0.595043 + 0.803694i \(0.297135\pi\)
\(720\) 2.10204 + 1.49083i 0.0783384 + 0.0555600i
\(721\) −72.5895 + 23.5858i −2.70337 + 0.878380i
\(722\) 19.3275 + 12.0630i 0.719293 + 0.448938i
\(723\) 6.18630 + 39.0588i 0.230071 + 1.45261i
\(724\) 0.712733 0.0264885
\(725\) 12.7377 42.4816i 0.473067 1.57773i
\(726\) −23.9418 −0.888564
\(727\) 33.5032 5.30639i 1.24257 0.196803i 0.499674 0.866214i \(-0.333453\pi\)
0.742893 + 0.669411i \(0.233453\pi\)
\(728\) −5.93777 + 11.6535i −0.220069 + 0.431909i
\(729\) −20.7547 + 6.74361i −0.768693 + 0.249763i
\(730\) 11.2574 0.128614i 0.416655 0.00476020i
\(731\) −11.7644 + 36.2072i −0.435123 + 1.33917i
\(732\) −3.37467 3.37467i −0.124731 0.124731i
\(733\) −26.6183 + 13.5627i −0.983171 + 0.500951i −0.870227 0.492651i \(-0.836028\pi\)
−0.112944 + 0.993601i \(0.536028\pi\)
\(734\) −14.4522 + 10.5002i −0.533441 + 0.387568i
\(735\) −32.2908 + 33.0371i −1.19106 + 1.21859i
\(736\) 5.81878 8.00886i 0.214483 0.295210i
\(737\) 22.2457 + 3.52337i 0.819431 + 0.129785i
\(738\) 3.74873 + 0.593740i 0.137993 + 0.0218559i
\(739\) 11.5789 15.9369i 0.425935 0.586249i −0.541079 0.840972i \(-0.681984\pi\)
0.967014 + 0.254722i \(0.0819841\pi\)
\(740\) −12.5223 1.83695i −0.460329 0.0675276i
\(741\) −1.61214 + 7.93458i −0.0592233 + 0.291484i
\(742\) 22.7920 + 44.7317i 0.836719 + 1.64215i
\(743\) 9.84292 9.84292i 0.361102 0.361102i −0.503117 0.864218i \(-0.667813\pi\)
0.864218 + 0.503117i \(0.167813\pi\)
\(744\) −11.6462 + 35.8434i −0.426971 + 1.31408i
\(745\) 5.06765 16.2250i 0.185664 0.594439i
\(746\) 2.62442 + 8.07715i 0.0960870 + 0.295725i
\(747\) −2.06585 1.05261i −0.0755856 0.0385128i
\(748\) 2.17667 + 13.7429i 0.0795869 + 0.502492i
\(749\) −15.5006 −0.566378
\(750\) 23.4058 8.50222i 0.854659 0.310457i
\(751\) 16.0347i 0.585115i 0.956248 + 0.292558i \(0.0945063\pi\)
−0.956248 + 0.292558i \(0.905494\pi\)
\(752\) 7.09181 1.12323i 0.258612 0.0409601i
\(753\) −6.38874 3.25523i −0.232819 0.118627i
\(754\) −3.28679 10.1157i −0.119698 0.368392i
\(755\) 2.50490 8.01989i 0.0911625 0.291874i
\(756\) 10.7792 + 3.50237i 0.392035 + 0.127380i
\(757\) −5.87685 + 5.87685i −0.213598 + 0.213598i −0.805794 0.592196i \(-0.798261\pi\)
0.592196 + 0.805794i \(0.298261\pi\)
\(758\) −0.679095 + 0.346016i −0.0246658 + 0.0125679i
\(759\) 22.5602 16.3910i 0.818884 0.594954i
\(760\) 16.8184 + 24.7758i 0.610068 + 0.898712i
\(761\) 16.0412 + 11.6546i 0.581493 + 0.422480i 0.839262 0.543727i \(-0.182987\pi\)
−0.257769 + 0.966207i \(0.582987\pi\)
\(762\) 4.82274 + 0.763847i 0.174709 + 0.0276713i
\(763\) 2.58467 16.3189i 0.0935712 0.590785i
\(764\) 0.922809 1.27014i 0.0333861 0.0459520i
\(765\) 3.73499 3.82132i 0.135039 0.138160i
\(766\) 3.25891 2.36773i 0.117749 0.0855497i
\(767\) −3.32673 6.52908i −0.120121 0.235751i
\(768\) −16.1891 + 16.1891i −0.584173 + 0.584173i
\(769\) 17.1358 + 5.56775i 0.617932 + 0.200778i 0.601222 0.799082i \(-0.294681\pi\)
0.0167101 + 0.999860i \(0.494681\pi\)
\(770\) 0.608127 + 53.2286i 0.0219154 + 1.91822i
\(771\) −17.2549 53.1051i −0.621420 1.91253i
\(772\) −5.28092 + 10.3644i −0.190065 + 0.373023i
\(773\) −46.7862 + 7.41020i −1.68278 + 0.266526i −0.923322 0.384027i \(-0.874537\pi\)
−0.759460 + 0.650554i \(0.774537\pi\)