Properties

Label 189.2.bd.a.47.20
Level $189$
Weight $2$
Character 189.47
Analytic conductor $1.509$
Analytic rank $0$
Dimension $132$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 189 = 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 189.bd (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.50917259820\)
Analytic rank: \(0\)
Dimension: \(132\)
Relative dimension: \(22\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 47.20
Character \(\chi\) \(=\) 189.47
Dual form 189.2.bd.a.185.20

$q$-expansion

\(f(q)\) \(=\) \(q+(2.22112 + 0.391643i) q^{2} +(1.67689 + 0.433617i) q^{3} +(2.90060 + 1.05573i) q^{4} +(-3.20807 - 1.16764i) q^{5} +(3.55476 + 1.61986i) q^{6} +(-2.62457 + 0.334082i) q^{7} +(2.12267 + 1.22552i) q^{8} +(2.62395 + 1.45426i) q^{9} +O(q^{10})\) \(q+(2.22112 + 0.391643i) q^{2} +(1.67689 + 0.433617i) q^{3} +(2.90060 + 1.05573i) q^{4} +(-3.20807 - 1.16764i) q^{5} +(3.55476 + 1.61986i) q^{6} +(-2.62457 + 0.334082i) q^{7} +(2.12267 + 1.22552i) q^{8} +(2.62395 + 1.45426i) q^{9} +(-6.66821 - 3.84989i) q^{10} +(0.870169 + 2.39077i) q^{11} +(4.40622 + 3.02810i) q^{12} +(2.11236 - 5.80365i) q^{13} +(-5.96033 - 0.285861i) q^{14} +(-4.87329 - 3.34909i) q^{15} +(-0.494450 - 0.414893i) q^{16} +(-1.19927 + 2.07719i) q^{17} +(5.25856 + 4.25774i) q^{18} +(-1.07808 + 0.622427i) q^{19} +(-8.07261 - 6.77373i) q^{20} +(-4.54600 - 0.577839i) q^{21} +(0.996420 + 5.65098i) q^{22} +(-2.21485 + 0.390538i) q^{23} +(3.02808 + 2.97550i) q^{24} +(5.09811 + 4.27783i) q^{25} +(6.96475 - 12.0633i) q^{26} +(3.76950 + 3.57643i) q^{27} +(-7.96554 - 1.80181i) q^{28} +(0.685884 + 1.88445i) q^{29} +(-9.51251 - 9.34731i) q^{30} +(-0.538767 + 1.48025i) q^{31} +(-4.08675 - 4.87040i) q^{32} +(0.422504 + 4.38639i) q^{33} +(-3.47723 + 4.14400i) q^{34} +(8.80991 + 1.99281i) q^{35} +(6.07573 + 6.98842i) q^{36} +10.0245 q^{37} +(-2.63830 + 0.960264i) q^{38} +(6.05876 - 8.81616i) q^{39} +(-5.37870 - 6.41008i) q^{40} +(5.39584 + 1.96393i) q^{41} +(-9.87090 - 3.06386i) q^{42} +(-0.110284 + 0.625454i) q^{43} +7.85333i q^{44} +(-6.71977 - 7.72921i) q^{45} -5.07240 q^{46} +(-11.3454 + 4.12940i) q^{47} +(-0.649236 - 0.910134i) q^{48} +(6.77678 - 1.75365i) q^{49} +(9.64814 + 11.4982i) q^{50} +(-2.91175 + 2.96321i) q^{51} +(12.2542 - 14.6040i) q^{52} +(-4.15350 + 2.39802i) q^{53} +(6.97183 + 9.41998i) q^{54} -8.68580i q^{55} +(-5.98053 - 2.50733i) q^{56} +(-2.07772 + 0.576273i) q^{57} +(0.785398 + 4.45421i) q^{58} +(2.11297 - 1.77299i) q^{59} +(-10.5997 - 14.8593i) q^{60} +(2.52148 + 6.92772i) q^{61} +(-1.77639 + 3.07681i) q^{62} +(-7.37260 - 2.94020i) q^{63} +(-6.52423 - 11.3003i) q^{64} +(-13.5532 + 16.1520i) q^{65} +(-0.779468 + 9.90816i) q^{66} +(-1.39215 - 7.89530i) q^{67} +(-5.67155 + 4.75899i) q^{68} +(-3.88342 - 0.305506i) q^{69} +(18.7874 + 7.87660i) q^{70} +(4.45847 - 2.57410i) q^{71} +(3.78755 + 6.30263i) q^{72} -13.4098i q^{73} +(22.2655 + 3.92601i) q^{74} +(6.69406 + 9.38409i) q^{75} +(-3.78418 + 0.667254i) q^{76} +(-3.08253 - 5.98404i) q^{77} +(16.9100 - 17.2089i) q^{78} +(0.167826 - 0.951791i) q^{79} +(1.10178 + 1.90835i) q^{80} +(4.77026 + 7.63182i) q^{81} +(11.2156 + 6.47536i) q^{82} +(2.38230 - 0.867085i) q^{83} +(-12.5761 - 6.47544i) q^{84} +(6.27275 - 5.26346i) q^{85} +(-0.489910 + 1.34602i) q^{86} +(0.333026 + 3.45744i) q^{87} +(-1.08286 + 6.14122i) q^{88} +(-4.97533 - 8.61753i) q^{89} +(-11.8983 - 19.7992i) q^{90} +(-3.60514 + 15.9378i) q^{91} +(-6.83671 - 1.20550i) q^{92} +(-1.54532 + 2.24860i) q^{93} +(-26.8168 + 4.72852i) q^{94} +(4.18532 - 0.737985i) q^{95} +(-4.74116 - 9.93922i) q^{96} +(-7.93719 - 1.39954i) q^{97} +(15.7388 - 1.24098i) q^{98} +(-1.19352 + 7.53871i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 132q - 3q^{2} - 9q^{3} - 3q^{4} - 9q^{5} + 18q^{6} - 6q^{7} - 18q^{8} - 15q^{9} + O(q^{10}) \) \( 132q - 3q^{2} - 9q^{3} - 3q^{4} - 9q^{5} + 18q^{6} - 6q^{7} - 18q^{8} - 15q^{9} - 9q^{10} + 9q^{11} - 9q^{12} - 42q^{14} - 24q^{15} - 15q^{16} - 9q^{17} - 3q^{18} - 9q^{19} - 18q^{20} + 15q^{21} - 12q^{22} + 30q^{23} - 36q^{24} - 3q^{25} - 12q^{28} + 6q^{29} - 3q^{30} - 9q^{31} - 51q^{32} - 9q^{33} + 18q^{34} - 9q^{35} - 6q^{37} - 9q^{38} - 9q^{39} - 9q^{40} + 27q^{42} - 12q^{43} - 63q^{45} - 6q^{46} + 45q^{47} + 30q^{49} - 9q^{50} + 33q^{51} - 9q^{52} + 45q^{53} + 117q^{54} - 51q^{56} - 3q^{58} - 9q^{59} - 15q^{60} - 63q^{61} + 99q^{62} - 33q^{63} + 18q^{64} - 102q^{65} + 63q^{66} - 3q^{67} + 144q^{68} - 108q^{69} - 15q^{70} + 18q^{71} + 15q^{72} - 33q^{74} - 9q^{75} - 36q^{76} - 57q^{77} + 66q^{78} - 21q^{79} - 72q^{80} + 57q^{81} - 18q^{82} + 90q^{83} + 51q^{84} + 9q^{85} - 33q^{86} - 9q^{87} + 45q^{88} - 9q^{89} - 81q^{90} - 21q^{91} + 150q^{92} - 87q^{93} - 9q^{94} + 27q^{95} - 9q^{96} - 180q^{98} + 96q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(136\)
\(\chi(n)\) \(e\left(\frac{7}{18}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.22112 + 0.391643i 1.57057 + 0.276934i 0.890073 0.455819i \(-0.150653\pi\)
0.680496 + 0.732752i \(0.261765\pi\)
\(3\) 1.67689 + 0.433617i 0.968156 + 0.250349i
\(4\) 2.90060 + 1.05573i 1.45030 + 0.527866i
\(5\) −3.20807 1.16764i −1.43469 0.522186i −0.496421 0.868082i \(-0.665353\pi\)
−0.938273 + 0.345896i \(0.887575\pi\)
\(6\) 3.55476 + 1.61986i 1.45122 + 0.661305i
\(7\) −2.62457 + 0.334082i −0.991996 + 0.126271i
\(8\) 2.12267 + 1.22552i 0.750477 + 0.433288i
\(9\) 2.62395 + 1.45426i 0.874651 + 0.484753i
\(10\) −6.66821 3.84989i −2.10867 1.21744i
\(11\) 0.870169 + 2.39077i 0.262366 + 0.720844i 0.999007 + 0.0445598i \(0.0141885\pi\)
−0.736641 + 0.676284i \(0.763589\pi\)
\(12\) 4.40622 + 3.02810i 1.27197 + 0.874137i
\(13\) 2.11236 5.80365i 0.585862 1.60964i −0.192131 0.981369i \(-0.561540\pi\)
0.777993 0.628273i \(-0.216238\pi\)
\(14\) −5.96033 0.285861i −1.59297 0.0763994i
\(15\) −4.87329 3.34909i −1.25828 0.864731i
\(16\) −0.494450 0.414893i −0.123613 0.103723i
\(17\) −1.19927 + 2.07719i −0.290865 + 0.503793i −0.974014 0.226486i \(-0.927276\pi\)
0.683150 + 0.730278i \(0.260610\pi\)
\(18\) 5.25856 + 4.25774i 1.23945 + 1.00356i
\(19\) −1.07808 + 0.622427i −0.247328 + 0.142795i −0.618540 0.785753i \(-0.712276\pi\)
0.371212 + 0.928548i \(0.378942\pi\)
\(20\) −8.07261 6.77373i −1.80509 1.51465i
\(21\) −4.54600 0.577839i −0.992018 0.126095i
\(22\) 0.996420 + 5.65098i 0.212437 + 1.20479i
\(23\) −2.21485 + 0.390538i −0.461829 + 0.0814329i −0.399722 0.916637i \(-0.630893\pi\)
−0.0621072 + 0.998069i \(0.519782\pi\)
\(24\) 3.02808 + 2.97550i 0.618105 + 0.607371i
\(25\) 5.09811 + 4.27783i 1.01962 + 0.855565i
\(26\) 6.96475 12.0633i 1.36590 2.36581i
\(27\) 3.76950 + 3.57643i 0.725441 + 0.688284i
\(28\) −7.96554 1.80181i −1.50535 0.340510i
\(29\) 0.685884 + 1.88445i 0.127366 + 0.349934i 0.986943 0.161072i \(-0.0514952\pi\)
−0.859577 + 0.511006i \(0.829273\pi\)
\(30\) −9.51251 9.34731i −1.73674 1.70658i
\(31\) −0.538767 + 1.48025i −0.0967653 + 0.265861i −0.978626 0.205650i \(-0.934069\pi\)
0.881860 + 0.471511i \(0.156291\pi\)
\(32\) −4.08675 4.87040i −0.722442 0.860972i
\(33\) 0.422504 + 4.38639i 0.0735485 + 0.763572i
\(34\) −3.47723 + 4.14400i −0.596340 + 0.710691i
\(35\) 8.80991 + 1.99281i 1.48915 + 0.336846i
\(36\) 6.07573 + 6.98842i 1.01262 + 1.16474i
\(37\) 10.0245 1.64801 0.824006 0.566581i \(-0.191734\pi\)
0.824006 + 0.566581i \(0.191734\pi\)
\(38\) −2.63830 + 0.960264i −0.427989 + 0.155775i
\(39\) 6.05876 8.81616i 0.970178 1.41171i
\(40\) −5.37870 6.41008i −0.850447 1.01352i
\(41\) 5.39584 + 1.96393i 0.842689 + 0.306714i 0.727056 0.686578i \(-0.240888\pi\)
0.115633 + 0.993292i \(0.463110\pi\)
\(42\) −9.87090 3.06386i −1.52311 0.472764i
\(43\) −0.110284 + 0.625454i −0.0168182 + 0.0953809i −0.992061 0.125754i \(-0.959865\pi\)
0.975243 + 0.221135i \(0.0709761\pi\)
\(44\) 7.85333i 1.18393i
\(45\) −6.71977 7.72921i −1.00172 1.15220i
\(46\) −5.07240 −0.747885
\(47\) −11.3454 + 4.12940i −1.65490 + 0.602334i −0.989549 0.144197i \(-0.953940\pi\)
−0.665351 + 0.746531i \(0.731718\pi\)
\(48\) −0.649236 0.910134i −0.0937092 0.131366i
\(49\) 6.77678 1.75365i 0.968111 0.250521i
\(50\) 9.64814 + 11.4982i 1.36445 + 1.62609i
\(51\) −2.91175 + 2.96321i −0.407726 + 0.414932i
\(52\) 12.2542 14.6040i 1.69935 2.02521i
\(53\) −4.15350 + 2.39802i −0.570527 + 0.329394i −0.757360 0.652998i \(-0.773511\pi\)
0.186833 + 0.982392i \(0.440178\pi\)
\(54\) 6.97183 + 9.41998i 0.948745 + 1.28190i
\(55\) 8.68580i 1.17119i
\(56\) −5.98053 2.50733i −0.799181 0.335056i
\(57\) −2.07772 + 0.576273i −0.275200 + 0.0763293i
\(58\) 0.785398 + 4.45421i 0.103128 + 0.584867i
\(59\) 2.11297 1.77299i 0.275085 0.230824i −0.494799 0.869007i \(-0.664758\pi\)
0.769884 + 0.638183i \(0.220314\pi\)
\(60\) −10.5997 14.8593i −1.36842 1.91832i
\(61\) 2.52148 + 6.92772i 0.322843 + 0.887004i 0.989871 + 0.141971i \(0.0453440\pi\)
−0.667028 + 0.745033i \(0.732434\pi\)
\(62\) −1.77639 + 3.07681i −0.225602 + 0.390755i
\(63\) −7.37260 2.94020i −0.928860 0.370430i
\(64\) −6.52423 11.3003i −0.815529 1.41254i
\(65\) −13.5532 + 16.1520i −1.68106 + 2.00341i
\(66\) −0.779468 + 9.90816i −0.0959458 + 1.21961i
\(67\) −1.39215 7.89530i −0.170079 0.964564i −0.943672 0.330882i \(-0.892654\pi\)
0.773594 0.633682i \(-0.218457\pi\)
\(68\) −5.67155 + 4.75899i −0.687776 + 0.577113i
\(69\) −3.88342 0.305506i −0.467509 0.0367786i
\(70\) 18.7874 + 7.87660i 2.24552 + 0.941434i
\(71\) 4.45847 2.57410i 0.529123 0.305489i −0.211536 0.977370i \(-0.567847\pi\)
0.740659 + 0.671881i \(0.234513\pi\)
\(72\) 3.78755 + 6.30263i 0.446367 + 0.742772i
\(73\) 13.4098i 1.56949i −0.619817 0.784747i \(-0.712793\pi\)
0.619817 0.784747i \(-0.287207\pi\)
\(74\) 22.2655 + 3.92601i 2.58832 + 0.456390i
\(75\) 6.69406 + 9.38409i 0.772964 + 1.08358i
\(76\) −3.78418 + 0.667254i −0.434076 + 0.0765392i
\(77\) −3.08253 5.98404i −0.351287 0.681945i
\(78\) 16.9100 17.2089i 1.91468 1.94852i
\(79\) 0.167826 0.951791i 0.0188819 0.107085i −0.973910 0.226934i \(-0.927130\pi\)
0.992792 + 0.119849i \(0.0382410\pi\)
\(80\) 1.10178 + 1.90835i 0.123183 + 0.213360i
\(81\) 4.77026 + 7.63182i 0.530029 + 0.847980i
\(82\) 11.2156 + 6.47536i 1.23856 + 0.715084i
\(83\) 2.38230 0.867085i 0.261491 0.0951749i −0.207948 0.978140i \(-0.566678\pi\)
0.469439 + 0.882965i \(0.344456\pi\)
\(84\) −12.5761 6.47544i −1.37216 0.706528i
\(85\) 6.27275 5.26346i 0.680375 0.570903i
\(86\) −0.489910 + 1.34602i −0.0528283 + 0.145145i
\(87\) 0.333026 + 3.45744i 0.0357041 + 0.370676i
\(88\) −1.08286 + 6.14122i −0.115434 + 0.654656i
\(89\) −4.97533 8.61753i −0.527384 0.913456i −0.999491 0.0319144i \(-0.989840\pi\)
0.472107 0.881541i \(-0.343494\pi\)
\(90\) −11.8983 19.7992i −1.25419 2.08702i
\(91\) −3.60514 + 15.9378i −0.377921 + 1.67074i
\(92\) −6.83671 1.20550i −0.712776 0.125682i
\(93\) −1.54532 + 2.24860i −0.160242 + 0.233169i
\(94\) −26.8168 + 4.72852i −2.76594 + 0.487710i
\(95\) 4.18532 0.737985i 0.429405 0.0757156i
\(96\) −4.74116 9.93922i −0.483893 1.01442i
\(97\) −7.93719 1.39954i −0.805899 0.142102i −0.244503 0.969649i \(-0.578625\pi\)
−0.561397 + 0.827547i \(0.689736\pi\)
\(98\) 15.7388 1.24098i 1.58986 0.125358i
\(99\) −1.19352 + 7.53871i −0.119953 + 0.757669i
\(100\) 10.2714 + 17.7905i 1.02714 + 1.77905i
\(101\) 0.323316 1.83362i 0.0321711 0.182452i −0.964488 0.264127i \(-0.914916\pi\)
0.996659 + 0.0816758i \(0.0260272\pi\)
\(102\) −7.62786 + 5.44127i −0.755271 + 0.538766i
\(103\) −4.55222 + 12.5071i −0.448544 + 1.23236i 0.485194 + 0.874407i \(0.338749\pi\)
−0.933738 + 0.357958i \(0.883473\pi\)
\(104\) 11.5963 9.73048i 1.13711 0.954152i
\(105\) 13.9092 + 7.16185i 1.35740 + 0.698925i
\(106\) −10.1646 + 3.69960i −0.987271 + 0.359337i
\(107\) −8.41217 4.85677i −0.813235 0.469521i 0.0348431 0.999393i \(-0.488907\pi\)
−0.848078 + 0.529871i \(0.822240\pi\)
\(108\) 7.15806 + 14.3534i 0.688785 + 1.38115i
\(109\) −3.57501 6.19210i −0.342424 0.593095i 0.642459 0.766320i \(-0.277914\pi\)
−0.984882 + 0.173225i \(0.944581\pi\)
\(110\) 3.40174 19.2922i 0.324343 1.83944i
\(111\) 16.8100 + 4.34678i 1.59553 + 0.412578i
\(112\) 1.43633 + 0.923730i 0.135720 + 0.0872843i
\(113\) 1.44663 0.255080i 0.136088 0.0239959i −0.105189 0.994452i \(-0.533545\pi\)
0.241277 + 0.970456i \(0.422434\pi\)
\(114\) −4.84055 + 0.466249i −0.453359 + 0.0436682i
\(115\) 7.56142 + 1.33328i 0.705106 + 0.124329i
\(116\) 6.19015i 0.574741i
\(117\) 13.9827 12.1566i 1.29270 1.12388i
\(118\) 5.38754 3.11050i 0.495963 0.286345i
\(119\) 2.45361 5.85239i 0.224922 0.536488i
\(120\) −6.23999 13.0813i −0.569631 1.19416i
\(121\) 3.46791 2.90992i 0.315264 0.264538i
\(122\) 2.88732 + 16.3748i 0.261406 + 1.48251i
\(123\) 8.19667 + 5.63302i 0.739069 + 0.507913i
\(124\) −3.12549 + 3.72482i −0.280678 + 0.334498i
\(125\) −2.82525 4.89347i −0.252698 0.437685i
\(126\) −15.2239 9.41796i −1.35625 0.839018i
\(127\) 4.42813 7.66974i 0.392933 0.680580i −0.599902 0.800073i \(-0.704794\pi\)
0.992835 + 0.119494i \(0.0381271\pi\)
\(128\) −5.71639 15.7056i −0.505262 1.38820i
\(129\) −0.456143 + 1.00100i −0.0401611 + 0.0881331i
\(130\) −36.4291 + 30.5676i −3.19504 + 2.68096i
\(131\) 3.28712 + 18.6422i 0.287197 + 1.62877i 0.697331 + 0.716749i \(0.254371\pi\)
−0.410134 + 0.912025i \(0.634518\pi\)
\(132\) −3.40533 + 13.1692i −0.296396 + 1.14623i
\(133\) 2.62155 1.99377i 0.227317 0.172882i
\(134\) 18.0816i 1.56201i
\(135\) −7.91684 15.8749i −0.681373 1.36629i
\(136\) −5.09129 + 2.93946i −0.436575 + 0.252056i
\(137\) −0.946962 + 1.12855i −0.0809044 + 0.0964182i −0.804978 0.593304i \(-0.797823\pi\)
0.724074 + 0.689723i \(0.242268\pi\)
\(138\) −8.50589 2.19948i −0.724069 0.187232i
\(139\) 8.68671 + 10.3524i 0.736798 + 0.878081i 0.996147 0.0877025i \(-0.0279525\pi\)
−0.259349 + 0.965784i \(0.583508\pi\)
\(140\) 23.4502 + 15.0812i 1.98190 + 1.27460i
\(141\) −20.8157 + 2.00500i −1.75299 + 0.168851i
\(142\) 10.9109 3.97125i 0.915624 0.333260i
\(143\) 15.7133 1.31401
\(144\) −0.694052 1.80772i −0.0578376 0.150643i
\(145\) 6.84633i 0.568556i
\(146\) 5.25184 29.7847i 0.434645 2.46500i
\(147\) 12.1244 0.00215530i 1.00000 0.000177767i
\(148\) 29.0770 + 10.5831i 2.39011 + 0.869929i
\(149\) −9.94653 11.8538i −0.814851 0.971102i 0.185081 0.982723i \(-0.440745\pi\)
−0.999932 + 0.0116212i \(0.996301\pi\)
\(150\) 11.1931 + 23.4649i 0.913913 + 1.91590i
\(151\) −5.27288 + 1.91917i −0.429101 + 0.156180i −0.547537 0.836782i \(-0.684434\pi\)
0.118436 + 0.992962i \(0.462212\pi\)
\(152\) −3.05120 −0.247485
\(153\) −6.16759 + 3.70641i −0.498620 + 0.299645i
\(154\) −4.50307 14.4985i −0.362868 1.16832i
\(155\) 3.45680 4.11966i 0.277657 0.330899i
\(156\) 26.8815 19.1757i 2.15224 1.53529i
\(157\) 7.00599 + 8.34941i 0.559139 + 0.666356i 0.969364 0.245628i \(-0.0789943\pi\)
−0.410225 + 0.911984i \(0.634550\pi\)
\(158\) 0.745525 2.04831i 0.0593108 0.162955i
\(159\) −8.00480 + 2.22020i −0.634822 + 0.176074i
\(160\) 7.42370 + 20.3964i 0.586895 + 1.61248i
\(161\) 5.68257 1.76494i 0.447850 0.139097i
\(162\) 7.60636 + 18.8194i 0.597612 + 1.47859i
\(163\) −12.6009 + 21.8255i −0.986982 + 1.70950i −0.354206 + 0.935168i \(0.615249\pi\)
−0.632776 + 0.774335i \(0.718085\pi\)
\(164\) 13.5778 + 11.3931i 1.06025 + 0.889654i
\(165\) 3.76631 14.5652i 0.293207 1.13390i
\(166\) 5.63095 0.992889i 0.437047 0.0770631i
\(167\) 0.497967 + 2.82411i 0.0385338 + 0.218536i 0.997994 0.0633078i \(-0.0201650\pi\)
−0.959460 + 0.281844i \(0.909054\pi\)
\(168\) −8.94149 6.79779i −0.689851 0.524461i
\(169\) −19.2617 16.1625i −1.48167 1.24327i
\(170\) 15.9939 9.23410i 1.22668 0.708223i
\(171\) −3.73399 + 0.0654178i −0.285545 + 0.00500262i
\(172\) −0.980203 + 1.69776i −0.0747398 + 0.129453i
\(173\) −1.99872 1.67712i −0.151960 0.127509i 0.563638 0.826022i \(-0.309401\pi\)
−0.715598 + 0.698512i \(0.753846\pi\)
\(174\) −0.614392 + 7.80981i −0.0465769 + 0.592060i
\(175\) −14.8095 9.52428i −1.11949 0.719968i
\(176\) 0.561658 1.54314i 0.0423366 0.116319i
\(177\) 4.31203 2.05690i 0.324112 0.154606i
\(178\) −7.67581 21.0891i −0.575326 1.58070i
\(179\) −12.2805 7.09017i −0.917890 0.529944i −0.0349288 0.999390i \(-0.511120\pi\)
−0.882961 + 0.469446i \(0.844454\pi\)
\(180\) −11.3314 29.5136i −0.844593 2.19982i
\(181\) −5.86603 3.38675i −0.436018 0.251735i 0.265889 0.964004i \(-0.414335\pi\)
−0.701907 + 0.712268i \(0.747668\pi\)
\(182\) −14.2494 + 33.9878i −1.05623 + 2.51935i
\(183\) 1.22429 + 12.7104i 0.0905019 + 0.939581i
\(184\) −5.18001 1.88537i −0.381876 0.138991i
\(185\) −32.1592 11.7050i −2.36439 0.860568i
\(186\) −4.31298 + 4.38920i −0.316243 + 0.321832i
\(187\) −6.00965 1.05966i −0.439469 0.0774902i
\(188\) −37.2681 −2.71805
\(189\) −11.0882 8.12728i −0.806545 0.591173i
\(190\) 9.58512 0.695377
\(191\) 16.4906 + 2.90774i 1.19322 + 0.210397i 0.734765 0.678321i \(-0.237292\pi\)
0.458454 + 0.888718i \(0.348403\pi\)
\(192\) −6.04045 21.7784i −0.435932 1.57172i
\(193\) −10.7796 3.92347i −0.775936 0.282418i −0.0764589 0.997073i \(-0.524361\pi\)
−0.699477 + 0.714655i \(0.746584\pi\)
\(194\) −17.0813 6.21709i −1.22637 0.446361i
\(195\) −29.7310 + 21.2084i −2.12908 + 1.51876i
\(196\) 21.5081 + 2.06784i 1.53629 + 0.147703i
\(197\) −0.880153 0.508156i −0.0627083 0.0362046i 0.468318 0.883560i \(-0.344860\pi\)
−0.531026 + 0.847355i \(0.678193\pi\)
\(198\) −5.60343 + 16.2769i −0.398218 + 1.15675i
\(199\) −4.74698 2.74067i −0.336505 0.194281i 0.322221 0.946665i \(-0.395571\pi\)
−0.658725 + 0.752384i \(0.728904\pi\)
\(200\) 5.57903 + 15.3283i 0.394497 + 1.08387i
\(201\) 1.08904 13.8432i 0.0768148 0.976427i
\(202\) 1.43625 3.94605i 0.101054 0.277643i
\(203\) −2.42972 4.71674i −0.170533 0.331050i
\(204\) −11.5742 + 5.52105i −0.810354 + 0.386551i
\(205\) −15.0171 12.6008i −1.04884 0.880080i
\(206\) −15.0094 + 25.9970i −1.04575 + 1.81129i
\(207\) −6.37961 2.19622i −0.443414 0.152648i
\(208\) −3.45235 + 1.99321i −0.239377 + 0.138204i
\(209\) −2.42619 2.03581i −0.167823 0.140820i
\(210\) 28.0891 + 21.3548i 1.93833 + 1.47362i
\(211\) 0.299276 + 1.69728i 0.0206030 + 0.116845i 0.993375 0.114920i \(-0.0366611\pi\)
−0.972772 + 0.231765i \(0.925550\pi\)
\(212\) −14.5793 + 2.57072i −1.00131 + 0.176558i
\(213\) 8.59256 2.38323i 0.588753 0.163296i
\(214\) −16.7823 14.0820i −1.14721 0.962627i
\(215\) 1.08411 1.87773i 0.0739355 0.128060i
\(216\) 3.61840 + 12.2112i 0.246201 + 0.830866i
\(217\) 0.919508 4.06502i 0.0624203 0.275951i
\(218\) −5.51543 15.1535i −0.373552 1.02633i
\(219\) 5.81470 22.4868i 0.392921 1.51951i
\(220\) 9.16988 25.1940i 0.618233 1.69858i
\(221\) 9.52201 + 11.3479i 0.640520 + 0.763341i
\(222\) 35.6346 + 16.2382i 2.39164 + 1.08984i
\(223\) 14.0559 16.7512i 0.941253 1.12174i −0.0511476 0.998691i \(-0.516288\pi\)
0.992400 0.123050i \(-0.0392677\pi\)
\(224\) 12.3531 + 11.4174i 0.825375 + 0.762857i
\(225\) 7.15614 + 18.6388i 0.477076 + 1.24259i
\(226\) 3.31304 0.220380
\(227\) 12.2370 4.45392i 0.812201 0.295617i 0.0976685 0.995219i \(-0.468862\pi\)
0.714533 + 0.699602i \(0.246639\pi\)
\(228\) −6.63501 0.521971i −0.439414 0.0345684i
\(229\) 0.564899 + 0.673221i 0.0373296 + 0.0444877i 0.784386 0.620273i \(-0.212978\pi\)
−0.747057 + 0.664760i \(0.768534\pi\)
\(230\) 16.2726 + 5.92275i 1.07299 + 0.390535i
\(231\) −2.57431 11.3712i −0.169377 0.748173i
\(232\) −0.853534 + 4.84063i −0.0560373 + 0.317803i
\(233\) 8.08620i 0.529745i −0.964284 0.264872i \(-0.914670\pi\)
0.964284 0.264872i \(-0.0853298\pi\)
\(234\) 35.8184 21.5250i 2.34152 1.40713i
\(235\) 41.2186 2.68880
\(236\) 8.00069 2.91201i 0.520801 0.189556i
\(237\) 0.694140 1.52328i 0.0450892 0.0989477i
\(238\) 7.74181 12.0379i 0.501827 0.780303i
\(239\) −4.16515 4.96384i −0.269421 0.321084i 0.614322 0.789055i \(-0.289430\pi\)
−0.883744 + 0.467971i \(0.844985\pi\)
\(240\) 1.02009 + 3.67785i 0.0658463 + 0.237404i
\(241\) −17.2266 + 20.5299i −1.10966 + 1.32244i −0.168038 + 0.985781i \(0.553743\pi\)
−0.941625 + 0.336664i \(0.890701\pi\)
\(242\) 8.84229 5.10510i 0.568404 0.328168i
\(243\) 4.68993 + 14.8662i 0.300859 + 0.953668i
\(244\) 22.7566i 1.45684i
\(245\) −23.7880 2.28703i −1.51976 0.146113i
\(246\) 15.9996 + 15.7218i 1.02010 + 1.00238i
\(247\) 1.33507 + 7.57156i 0.0849485 + 0.481767i
\(248\) −2.95770 + 2.48181i −0.187814 + 0.157595i
\(249\) 4.37084 0.421007i 0.276991 0.0266802i
\(250\) −4.35872 11.9755i −0.275669 0.757395i
\(251\) −10.0960 + 17.4868i −0.637253 + 1.10376i 0.348780 + 0.937205i \(0.386596\pi\)
−0.986033 + 0.166550i \(0.946737\pi\)
\(252\) −18.2809 16.3118i −1.15159 1.02755i
\(253\) −2.86098 4.95537i −0.179868 0.311541i
\(254\) 12.8392 15.3012i 0.805603 0.960081i
\(255\) 12.8011 6.10630i 0.801634 0.382392i
\(256\) −2.01408 11.4224i −0.125880 0.713902i
\(257\) 3.10766 2.60764i 0.193851 0.162660i −0.540696 0.841218i \(-0.681839\pi\)
0.734547 + 0.678558i \(0.237395\pi\)
\(258\) −1.40518 + 2.04469i −0.0874828 + 0.127297i
\(259\) −26.3100 + 3.34899i −1.63482 + 0.208096i
\(260\) −56.3646 + 32.5421i −3.49558 + 2.01818i
\(261\) −0.940754 + 5.94217i −0.0582312 + 0.367811i
\(262\) 42.6939i 2.63764i
\(263\) 21.2602 + 3.74874i 1.31096 + 0.231157i 0.785075 0.619400i \(-0.212624\pi\)
0.525882 + 0.850557i \(0.323735\pi\)
\(264\) −4.47878 + 9.82863i −0.275650 + 0.604911i
\(265\) 16.1247 2.84323i 0.990535 0.174658i
\(266\) 6.60362 3.40169i 0.404894 0.208571i
\(267\) −4.60640 16.6081i −0.281907 1.01640i
\(268\) 4.29724 24.3708i 0.262495 1.48869i
\(269\) −1.05277 1.82346i −0.0641887 0.111178i 0.832145 0.554558i \(-0.187113\pi\)
−0.896334 + 0.443380i \(0.853779\pi\)
\(270\) −11.3670 38.3606i −0.691771 2.33455i
\(271\) 11.3643 + 6.56119i 0.690333 + 0.398564i 0.803737 0.594985i \(-0.202842\pi\)
−0.113404 + 0.993549i \(0.536175\pi\)
\(272\) 1.45479 0.529500i 0.0882096 0.0321057i
\(273\) −12.9563 + 25.1628i −0.784153 + 1.52292i
\(274\) −2.54530 + 2.13576i −0.153767 + 0.129026i
\(275\) −5.79107 + 15.9108i −0.349215 + 0.959460i
\(276\) −10.9417 4.98600i −0.658614 0.300122i
\(277\) −0.564769 + 3.20296i −0.0339337 + 0.192447i −0.997062 0.0765936i \(-0.975596\pi\)
0.963129 + 0.269041i \(0.0867067\pi\)
\(278\) 15.2398 + 26.3961i 0.914021 + 1.58313i
\(279\) −3.56637 + 3.10060i −0.213513 + 0.185628i
\(280\) 16.2583 + 15.0268i 0.971619 + 0.898024i
\(281\) 15.2603 + 2.69080i 0.910351 + 0.160519i 0.609163 0.793045i \(-0.291506\pi\)
0.301188 + 0.953565i \(0.402617\pi\)
\(282\) −47.0193 3.69897i −2.79996 0.220271i
\(283\) 6.97844 1.23049i 0.414825 0.0731449i 0.0376593 0.999291i \(-0.488010\pi\)
0.377166 + 0.926146i \(0.376899\pi\)
\(284\) 15.6498 2.75948i 0.928645 0.163745i
\(285\) 7.33834 + 0.577302i 0.434686 + 0.0341964i
\(286\) 34.9011 + 6.15400i 2.06374 + 0.363894i
\(287\) −14.8179 3.35181i −0.874673 0.197851i
\(288\) −3.64061 18.7229i −0.214525 1.10326i
\(289\) 5.62352 + 9.74022i 0.330795 + 0.572954i
\(290\) 2.68132 15.2065i 0.157452 0.892957i
\(291\) −12.7030 5.78858i −0.744661 0.339333i
\(292\) 14.1571 38.8963i 0.828482 2.27624i
\(293\) 21.6105 18.1333i 1.26250 1.05936i 0.267085 0.963673i \(-0.413939\pi\)
0.995411 0.0956878i \(-0.0305051\pi\)
\(294\) 26.9305 + 4.74363i 1.57062 + 0.276654i
\(295\) −8.84879 + 3.22069i −0.515196 + 0.187516i
\(296\) 21.2786 + 12.2852i 1.23679 + 0.714064i
\(297\) −5.27032 + 12.1241i −0.305815 + 0.703512i
\(298\) −17.4500 30.2242i −1.01085 1.75084i
\(299\) −2.41201 + 13.6792i −0.139490 + 0.791088i
\(300\) 9.50971 + 34.2866i 0.549044 + 1.97954i
\(301\) 0.0804967 1.67839i 0.00463975 0.0967411i
\(302\) −12.4633 + 2.19762i −0.717184 + 0.126459i
\(303\) 1.33725 2.93459i 0.0768232 0.168588i
\(304\) 0.791296 + 0.139527i 0.0453839 + 0.00800241i
\(305\) 25.1688i 1.44116i
\(306\) −15.1505 + 5.81687i −0.866099 + 0.332528i
\(307\) 13.2261 7.63610i 0.754854 0.435815i −0.0725912 0.997362i \(-0.523127\pi\)
0.827445 + 0.561547i \(0.189793\pi\)
\(308\) −2.62366 20.6116i −0.149497 1.17446i
\(309\) −13.0569 + 18.9992i −0.742781 + 1.08083i
\(310\) 9.29141 7.79642i 0.527717 0.442807i
\(311\) −1.46141 8.28806i −0.0828689 0.469973i −0.997796 0.0663540i \(-0.978863\pi\)
0.914927 0.403619i \(-0.132248\pi\)
\(312\) 23.6651 11.2886i 1.33977 0.639093i
\(313\) 8.19044 9.76098i 0.462951 0.551723i −0.483174 0.875524i \(-0.660516\pi\)
0.946125 + 0.323801i \(0.104961\pi\)
\(314\) 12.2911 + 21.2889i 0.693630 + 1.20140i
\(315\) 20.2187 + 18.0409i 1.13920 + 1.01649i
\(316\) 1.49163 2.58358i 0.0839109 0.145338i
\(317\) 8.87829 + 24.3929i 0.498654 + 1.37004i 0.892576 + 0.450897i \(0.148896\pi\)
−0.393922 + 0.919144i \(0.628882\pi\)
\(318\) −18.6491 + 1.79631i −1.04579 + 0.100732i
\(319\) −3.90845 + 3.27958i −0.218831 + 0.183621i
\(320\) 7.73549 + 43.8702i 0.432427 + 2.45242i
\(321\) −12.0003 11.7919i −0.669794 0.658162i
\(322\) 13.3129 1.69460i 0.741899 0.0944363i
\(323\) 2.98583i 0.166136i
\(324\) 5.77945 + 27.1730i 0.321081 + 1.50961i
\(325\) 35.5960 20.5514i 1.97451 1.13999i
\(326\) −36.5360 + 43.5419i −2.02354 + 2.41156i
\(327\) −3.30992 11.9337i −0.183039 0.659934i
\(328\) 9.04675 + 10.7815i 0.499523 + 0.595308i
\(329\) 28.3973 14.6282i 1.56560 0.806479i
\(330\) 14.0698 30.8759i 0.774516 1.69966i
\(331\) −2.77283 + 1.00923i −0.152409 + 0.0554722i −0.417098 0.908862i \(-0.636953\pi\)
0.264689 + 0.964334i \(0.414731\pi\)
\(332\) 7.82550 0.429480
\(333\) 26.3037 + 14.5782i 1.44144 + 0.798879i
\(334\) 6.46771i 0.353898i
\(335\) −4.75276 + 26.9542i −0.259671 + 1.47267i
\(336\) 2.00803 + 2.17182i 0.109547 + 0.118482i
\(337\) 2.27089 + 0.826536i 0.123703 + 0.0450243i 0.403130 0.915143i \(-0.367922\pi\)
−0.279427 + 0.960167i \(0.590144\pi\)
\(338\) −36.4526 43.4425i −1.98276 2.36296i
\(339\) 2.53646 + 0.199541i 0.137762 + 0.0108376i
\(340\) 23.7515 8.64485i 1.28811 0.468833i
\(341\) −4.00775 −0.217032
\(342\) −8.31926 1.31709i −0.449854 0.0712202i
\(343\) −17.2003 + 6.86657i −0.928729 + 0.370760i
\(344\) −1.00061 + 1.19248i −0.0539490 + 0.0642940i
\(345\) 12.1016 + 5.51453i 0.651526 + 0.296892i
\(346\) −3.78256 4.50788i −0.203352 0.242345i
\(347\) −1.09176 + 2.99960i −0.0586090 + 0.161027i −0.965542 0.260249i \(-0.916195\pi\)
0.906933 + 0.421276i \(0.138418\pi\)
\(348\) −2.68415 + 10.3802i −0.143886 + 0.556439i
\(349\) 8.87089 + 24.3726i 0.474848 + 1.30463i 0.913815 + 0.406130i \(0.133122\pi\)
−0.438967 + 0.898503i \(0.644656\pi\)
\(350\) −29.1636 26.9546i −1.55886 1.44078i
\(351\) 28.7189 14.3222i 1.53290 0.764461i
\(352\) 8.08783 14.0085i 0.431083 0.746657i
\(353\) −19.9159 16.7114i −1.06001 0.889457i −0.0659030 0.997826i \(-0.520993\pi\)
−0.994111 + 0.108369i \(0.965437\pi\)
\(354\) 10.3831 2.87985i 0.551856 0.153062i
\(355\) −17.3087 + 3.05200i −0.918652 + 0.161983i
\(356\) −5.33365 30.2486i −0.282683 1.60317i
\(357\) 6.65215 8.74992i 0.352069 0.463095i
\(358\) −24.4997 20.5577i −1.29485 1.08651i
\(359\) 16.5008 9.52673i 0.870878 0.502802i 0.00323805 0.999995i \(-0.498969\pi\)
0.867640 + 0.497193i \(0.165636\pi\)
\(360\) −4.79153 24.6418i −0.252536 1.29874i
\(361\) −8.72517 + 15.1124i −0.459219 + 0.795391i
\(362\) −11.7027 9.81977i −0.615083 0.516116i
\(363\) 7.07711 3.37589i 0.371452 0.177188i
\(364\) −27.2831 + 42.4231i −1.43002 + 2.22358i
\(365\) −15.6578 + 43.0195i −0.819567 + 2.25174i
\(366\) −2.25866 + 28.7108i −0.118062 + 1.50074i
\(367\) −3.23929 8.89989i −0.169090 0.464570i 0.825986 0.563691i \(-0.190619\pi\)
−0.995075 + 0.0991209i \(0.968397\pi\)
\(368\) 1.25717 + 0.725825i 0.0655343 + 0.0378362i
\(369\) 11.3024 + 13.0002i 0.588378 + 0.676764i
\(370\) −66.8452 38.5931i −3.47512 2.00636i
\(371\) 10.1000 7.68139i 0.524367 0.398798i
\(372\) −6.85627 + 4.89086i −0.355481 + 0.253579i
\(373\) −18.5099 6.73707i −0.958408 0.348832i −0.184999 0.982739i \(-0.559228\pi\)
−0.773409 + 0.633907i \(0.781450\pi\)
\(374\) −12.9331 4.70727i −0.668756 0.243407i
\(375\) −2.61575 9.43091i −0.135077 0.487010i
\(376\) −29.1432 5.13874i −1.50295 0.265010i
\(377\) 12.3855 0.637887
\(378\) −21.4451 22.3943i −1.10302 1.15184i
\(379\) −24.3431 −1.25042 −0.625211 0.780456i \(-0.714987\pi\)
−0.625211 + 0.780456i \(0.714987\pi\)
\(380\) 12.9190 + 2.27798i 0.662733 + 0.116858i
\(381\) 10.7512 10.9412i 0.550803 0.560537i
\(382\) 35.4888 + 12.9169i 1.81577 + 0.660885i
\(383\) −10.2359 3.72556i −0.523029 0.190367i 0.0669938 0.997753i \(-0.478659\pi\)
−0.590023 + 0.807386i \(0.700881\pi\)
\(384\) −2.77555 28.8154i −0.141639 1.47048i
\(385\) 2.90177 + 22.7965i 0.147888 + 1.16182i
\(386\) −22.4063 12.9363i −1.14045 0.658439i
\(387\) −1.19895 + 1.48078i −0.0609462 + 0.0752723i
\(388\) −21.5451 12.4391i −1.09379 0.631497i
\(389\) −2.70515 7.43234i −0.137157 0.376835i 0.852031 0.523492i \(-0.175371\pi\)
−0.989187 + 0.146657i \(0.953149\pi\)
\(390\) −74.3423 + 35.4624i −3.76447 + 1.79571i
\(391\) 1.84498 5.06903i 0.0933045 0.256352i
\(392\) 16.5340 + 4.58269i 0.835092 + 0.231461i
\(393\) −2.57141 + 32.6863i −0.129710 + 1.64881i
\(394\) −1.75591 1.47338i −0.0884613 0.0742279i
\(395\) −1.64975 + 2.85745i −0.0830079 + 0.143774i
\(396\) −11.4208 + 20.6068i −0.573916 + 1.03553i
\(397\) 2.88406 1.66511i 0.144747 0.0835695i −0.425878 0.904781i \(-0.640035\pi\)
0.570624 + 0.821211i \(0.306701\pi\)
\(398\) −9.47024 7.94648i −0.474700 0.398321i
\(399\) 5.26059 2.20660i 0.263359 0.110468i
\(400\) −0.745924 4.23034i −0.0372962 0.211517i
\(401\) 34.0660 6.00676i 1.70118 0.299963i 0.763071 0.646314i \(-0.223691\pi\)
0.938105 + 0.346351i \(0.112579\pi\)
\(402\) 7.84050 30.3210i 0.391048 1.51227i
\(403\) 7.45278 + 6.25362i 0.371249 + 0.311515i
\(404\) 2.87362 4.97725i 0.142968 0.247627i
\(405\) −6.39209 30.0534i −0.317626 1.49336i
\(406\) −3.54941 11.4280i −0.176154 0.567163i
\(407\) 8.72297 + 23.9662i 0.432382 + 1.18796i
\(408\) −9.81216 + 2.72149i −0.485774 + 0.134734i
\(409\) 6.17220 16.9580i 0.305196 0.838519i −0.688380 0.725350i \(-0.741678\pi\)
0.993576 0.113168i \(-0.0360999\pi\)
\(410\) −28.4197 33.8693i −1.40355 1.67268i
\(411\) −2.07731 + 1.48183i −0.102466 + 0.0730935i
\(412\) −26.4084 + 31.4722i −1.30105 + 1.55053i
\(413\) −4.95332 + 5.35926i −0.243737 + 0.263712i
\(414\) −13.3097 7.37659i −0.654138 0.362540i
\(415\) −8.65502 −0.424858
\(416\) −36.8987 + 13.4300i −1.80911 + 0.658462i
\(417\) 10.0777 + 21.1266i 0.493508 + 1.03458i
\(418\) −4.59154 5.47198i −0.224580 0.267643i
\(419\) 8.67340 + 3.15686i 0.423724 + 0.154223i 0.545076 0.838387i \(-0.316501\pi\)
−0.121352 + 0.992609i \(0.538723\pi\)
\(420\) 32.7840 + 35.4580i 1.59969 + 1.73017i
\(421\) −4.17891 + 23.6998i −0.203668 + 1.15506i 0.695855 + 0.718182i \(0.255026\pi\)
−0.899523 + 0.436874i \(0.856086\pi\)
\(422\) 3.88706i 0.189219i
\(423\) −35.7751 5.66385i −1.73944 0.275386i
\(424\) −11.7553 −0.570889
\(425\) −14.9999 + 5.45950i −0.727600 + 0.264825i
\(426\) 20.0185 1.92821i 0.969898 0.0934221i
\(427\) −8.93225 17.3399i −0.432262 0.839138i
\(428\) −19.2729 22.9685i −0.931590 1.11023i
\(429\) 26.3495 + 6.81354i 1.27217 + 0.328961i
\(430\) 3.14333 3.74608i 0.151585 0.180652i
\(431\) −19.5471 + 11.2855i −0.941552 + 0.543605i −0.890447 0.455088i \(-0.849608\pi\)
−0.0511056 + 0.998693i \(0.516274\pi\)
\(432\) −0.379995 3.33231i −0.0182825 0.160326i
\(433\) 18.7792i 0.902469i 0.892405 + 0.451234i \(0.149016\pi\)
−0.892405 + 0.451234i \(0.850984\pi\)
\(434\) 3.63437 8.66877i 0.174455 0.416114i
\(435\) 2.96868 11.4806i 0.142337 0.550451i
\(436\) −3.83247 21.7350i −0.183542 1.04092i
\(437\) 2.14470 1.79962i 0.102595 0.0860873i
\(438\) 21.7219 47.6685i 1.03791 2.27769i
\(439\) 2.26651 + 6.22718i 0.108174 + 0.297207i 0.981955 0.189113i \(-0.0605612\pi\)
−0.873781 + 0.486320i \(0.838339\pi\)
\(440\) 10.6447 18.4371i 0.507464 0.878953i
\(441\) 20.3322 + 5.25371i 0.968200 + 0.250177i
\(442\) 16.7052 + 28.9342i 0.794585 + 1.37626i
\(443\) 11.4331 13.6254i 0.543201 0.647362i −0.422701 0.906269i \(-0.638918\pi\)
0.965902 + 0.258907i \(0.0833624\pi\)
\(444\) 44.1700 + 30.3551i 2.09621 + 1.44059i
\(445\) 5.89903 + 33.4551i 0.279641 + 1.58592i
\(446\) 37.7803 31.7014i 1.78895 1.50111i
\(447\) −11.5393 24.1906i −0.545789 1.14418i
\(448\) 20.8986 + 27.4789i 0.987365 + 1.29825i
\(449\) 28.0035 16.1678i 1.32157 0.763007i 0.337589 0.941294i \(-0.390389\pi\)
0.983979 + 0.178286i \(0.0570554\pi\)
\(450\) 8.59488 + 44.2016i 0.405167 + 2.08369i
\(451\) 14.6092i 0.687918i
\(452\) 4.46540 + 0.787370i 0.210035 + 0.0370348i
\(453\) −9.67426 + 0.931839i −0.454536 + 0.0437816i
\(454\) 28.9243 5.10013i 1.35748 0.239361i
\(455\) 30.1752 46.9201i 1.41464 2.19965i
\(456\) −5.11654 1.32305i −0.239604 0.0619575i
\(457\) 1.55794 8.83554i 0.0728776 0.413309i −0.926442 0.376437i \(-0.877149\pi\)
0.999320 0.0368727i \(-0.0117396\pi\)
\(458\) 0.991046 + 1.71654i 0.0463085 + 0.0802087i
\(459\) −11.9496 + 3.54088i −0.557758 + 0.165274i
\(460\) 20.5251 + 11.8501i 0.956986 + 0.552516i
\(461\) −32.7872 + 11.9336i −1.52705 + 0.555801i −0.962897 0.269869i \(-0.913020\pi\)
−0.564154 + 0.825670i \(0.690797\pi\)
\(462\) −1.26437 26.2651i −0.0588237 1.22196i
\(463\) −21.5412 + 18.0752i −1.00111 + 0.840028i −0.987137 0.159875i \(-0.948891\pi\)
−0.0139685 + 0.999902i \(0.504446\pi\)
\(464\) 0.442710 1.21634i 0.0205523 0.0564670i
\(465\) 7.58305 5.40931i 0.351656 0.250851i
\(466\) 3.16691 17.9604i 0.146704 0.832000i
\(467\) −12.2865 21.2808i −0.568549 0.984756i −0.996710 0.0810534i \(-0.974172\pi\)
0.428161 0.903703i \(-0.359162\pi\)
\(468\) 53.3924 20.4994i 2.46806 0.947584i
\(469\) 6.29149 + 20.2567i 0.290514 + 0.935367i
\(470\) 91.5514 + 16.1430i 4.22295 + 0.744620i
\(471\) 8.12786 + 17.0390i 0.374512 + 0.785116i
\(472\) 6.65798 1.17398i 0.306458 0.0540369i
\(473\) −1.59128 + 0.280586i −0.0731672 + 0.0129014i
\(474\) 2.13835 3.11153i 0.0982176 0.142917i
\(475\) −8.15879 1.43861i −0.374351 0.0660082i
\(476\) 13.2955 14.3851i 0.609399 0.659340i
\(477\) −14.3859 + 0.252035i −0.658686 + 0.0115399i
\(478\) −7.30725 12.6565i −0.334226 0.578896i
\(479\) −5.56261 + 31.5471i −0.254162 + 1.44143i 0.544052 + 0.839051i \(0.316889\pi\)
−0.798214 + 0.602374i \(0.794222\pi\)
\(480\) 3.60452 + 37.4217i 0.164523 + 1.70806i
\(481\) 21.1752 58.1785i 0.965507 2.65271i
\(482\) −46.3027 + 38.8526i −2.10903 + 1.76969i
\(483\) 10.2944 0.495558i 0.468411 0.0225487i
\(484\) 13.1311 4.77933i 0.596869 0.217242i
\(485\) 23.8289 + 13.7576i 1.08202 + 0.624702i
\(486\) 4.59465 + 34.8564i 0.208418 + 1.58112i
\(487\) −2.41488 4.18270i −0.109429 0.189536i 0.806110 0.591765i \(-0.201569\pi\)
−0.915539 + 0.402229i \(0.868235\pi\)
\(488\) −3.13781 + 17.7954i −0.142042 + 0.805560i
\(489\) −30.5943 + 31.1350i −1.38352 + 1.40797i
\(490\) −51.9403 14.3962i −2.34643 0.650354i
\(491\) 11.4709 2.02263i 0.517675 0.0912800i 0.0912942 0.995824i \(-0.470900\pi\)
0.426380 + 0.904544i \(0.359789\pi\)
\(492\) 17.8283 + 24.9926i 0.803761 + 1.12675i
\(493\) −4.73692 0.835248i −0.213340 0.0376177i
\(494\) 17.3402i 0.780173i
\(495\) 12.6314 22.7911i 0.567740 1.02439i
\(496\) 0.880538 0.508379i 0.0395373 0.0228269i
\(497\) −10.8416 + 8.24541i −0.486313 + 0.369857i
\(498\) 9.87305 + 0.776706i 0.442422 + 0.0348050i
\(499\) 8.07665 6.77711i 0.361561 0.303385i −0.443852 0.896100i \(-0.646388\pi\)
0.805412 + 0.592715i \(0.201944\pi\)
\(500\) −3.02872 17.1767i −0.135448 0.768166i
\(501\) −0.389544 + 4.95167i −0.0174035 + 0.221224i
\(502\) −29.2730 + 34.8862i −1.30652 + 1.55705i
\(503\) −3.57408 6.19049i −0.159360 0.276020i 0.775278 0.631620i \(-0.217610\pi\)
−0.934638 + 0.355600i \(0.884277\pi\)
\(504\) −12.0463 15.2764i −0.536585 0.680463i
\(505\) −3.17823 + 5.50485i −0.141429 + 0.244963i
\(506\) −4.41385 12.1269i −0.196219 0.539108i
\(507\) −25.2915 35.4550i −1.12324 1.57461i
\(508\) 20.9414 17.5719i 0.929125 0.779629i
\(509\) −3.15365 17.8853i −0.139783 0.792750i −0.971409 0.237413i \(-0.923700\pi\)
0.831625 0.555337i \(-0.187411\pi\)
\(510\) 30.8242 8.54937i 1.36492 0.378573i
\(511\) 4.47996 + 35.1949i 0.198182 + 1.55693i
\(512\) 7.26783i 0.321196i
\(513\) −6.28988 1.50942i −0.277705 0.0666427i
\(514\) 7.92375 4.57478i 0.349501 0.201785i
\(515\) 29.2077 34.8084i 1.28705 1.53384i
\(516\) −2.37987 + 2.42193i −0.104768 + 0.106620i
\(517\) −19.7449 23.5310i −0.868378 1.03489i
\(518\) −59.7491 2.86560i −2.62523 0.125907i
\(519\) −2.62441 3.67904i −0.115199 0.161492i
\(520\) −48.5636 + 17.6757i −2.12965 + 0.775131i
\(521\) −2.90774 −0.127391 −0.0636953 0.997969i \(-0.520289\pi\)
−0.0636953 + 0.997969i \(0.520289\pi\)
\(522\) −4.41674 + 12.8298i −0.193315 + 0.561546i
\(523\) 25.8822i 1.13175i −0.824491 0.565875i \(-0.808539\pi\)
0.824491 0.565875i \(-0.191461\pi\)
\(524\) −10.1465 + 57.5438i −0.443253 + 2.51381i
\(525\) −20.7041 22.3929i −0.903602 0.977305i
\(526\) 45.7532 + 16.6528i 1.99493 + 0.726096i
\(527\) −2.42864 2.89433i −0.105793 0.126079i
\(528\) 1.61097 2.34414i 0.0701086 0.102016i
\(529\) −16.8599 + 6.13649i −0.733038 + 0.266804i
\(530\) 36.9285 1.60407
\(531\) 8.12273 1.57944i 0.352496 0.0685419i
\(532\) 9.70895 3.01548i 0.420936 0.130738i
\(533\) 22.7959 27.1671i 0.987399 1.17674i
\(534\) −3.72693 38.6926i −0.161280 1.67439i
\(535\) 21.3159 + 25.4033i 0.921565 + 1.09828i
\(536\) 6.72079 18.4652i 0.290294 0.797576i
\(537\) −17.5187 17.2145i −0.755990 0.742861i
\(538\) −1.62419 4.46243i −0.0700238 0.192389i
\(539\) 10.0895 + 14.6757i 0.434586 + 0.632129i
\(540\) −6.20396 54.4047i −0.266976 2.34121i
\(541\) −9.36987 + 16.2291i −0.402842 + 0.697743i −0.994068 0.108763i \(-0.965311\pi\)
0.591225 + 0.806506i \(0.298644\pi\)
\(542\) 22.6718 + 19.0239i 0.973839 + 0.817148i
\(543\) −8.36816 8.22283i −0.359112 0.352876i
\(544\) 15.0178 2.64805i 0.643885 0.113534i
\(545\) 4.23873 + 24.0390i 0.181567 + 1.02972i
\(546\) −38.6324 + 50.8153i −1.65331 + 2.17469i
\(547\) 33.4456 + 28.0642i 1.43003 + 1.19994i 0.945695 + 0.325055i \(0.105383\pi\)
0.484335 + 0.874882i \(0.339061\pi\)
\(548\) −3.93820 + 2.27372i −0.168232 + 0.0971285i
\(549\) −3.45845 + 21.8449i −0.147603 + 0.932318i
\(550\) −19.0940 + 33.0718i −0.814172 + 1.41019i
\(551\) −1.91237 1.60467i −0.0814697 0.0683612i
\(552\) −7.86881 5.40771i −0.334919 0.230167i
\(553\) −0.122497 + 2.55411i −0.00520908 + 0.108612i
\(554\) −2.50884 + 6.89298i −0.106590 + 0.292855i
\(555\) −48.8521 33.5728i −2.07366 1.42509i
\(556\) 14.2673 + 39.1991i 0.605068 + 1.66241i
\(557\) −2.37342 1.37029i −0.100565 0.0580612i 0.448874 0.893595i \(-0.351825\pi\)
−0.549439 + 0.835534i \(0.685159\pi\)
\(558\) −9.13565 + 5.49005i −0.386743 + 0.232412i
\(559\) 3.39696 + 1.96123i 0.143676 + 0.0829513i
\(560\) −3.52926 4.64051i −0.149138 0.196097i
\(561\) −9.61806 4.38283i −0.406075 0.185043i
\(562\) 32.8410 + 11.9532i 1.38532 + 0.504214i
\(563\) 12.5366 + 4.56296i 0.528356 + 0.192306i 0.592404 0.805641i \(-0.298179\pi\)
−0.0640481 + 0.997947i \(0.520401\pi\)
\(564\) −62.4946 16.1601i −2.63150 0.680461i
\(565\) −4.93875 0.870834i −0.207775 0.0366363i
\(566\) 15.9819 0.671767
\(567\) −15.0695 18.4366i −0.632861 0.774265i
\(568\) 12.6185 0.529459
\(569\) 10.1383 + 1.78766i 0.425022 + 0.0749428i 0.382068 0.924134i \(-0.375212\pi\)
0.0429537 + 0.999077i \(0.486323\pi\)
\(570\) 16.0732 + 4.15627i 0.673234 + 0.174087i
\(571\) 20.3597 + 7.41032i 0.852027 + 0.310112i 0.730866 0.682521i \(-0.239116\pi\)
0.121160 + 0.992633i \(0.461338\pi\)
\(572\) 45.5779 + 16.5890i 1.90571 + 0.693622i
\(573\) 26.3922 + 12.0266i 1.10255 + 0.502418i
\(574\) −31.5996 13.2481i −1.31894 0.552965i
\(575\) −12.9622 7.48375i −0.540562 0.312094i
\(576\) −0.685704 39.1394i −0.0285710 1.63081i
\(577\) 4.44885 + 2.56854i 0.185208 + 0.106930i 0.589737 0.807595i \(-0.299231\pi\)
−0.404529 + 0.914525i \(0.632565\pi\)
\(578\) 8.67581 + 23.8366i 0.360866 + 0.991472i
\(579\) −16.3750 11.2535i −0.680524 0.467679i
\(580\) 7.22788 19.8584i 0.300122 0.824577i
\(581\) −5.96284 + 3.07161i −0.247380 + 0.127432i
\(582\) −25.9477 17.8322i −1.07557 0.739167i
\(583\) −9.34736 7.84336i −0.387128 0.324839i
\(584\) 16.4340 28.4645i 0.680042 1.17787i
\(585\) −59.0522 + 22.6724i −2.44151 + 0.937387i
\(586\) 55.1012 31.8127i 2.27621 1.31417i
\(587\) −26.0870 21.8896i −1.07672 0.903479i −0.0810798 0.996708i \(-0.525837\pi\)
−0.995645 + 0.0932285i \(0.970281\pi\)
\(588\) 35.1702 + 12.7938i 1.45039 + 0.527608i
\(589\) −0.340516 1.93116i −0.0140307 0.0795722i
\(590\) −20.9156 + 3.68798i −0.861080 + 0.151832i
\(591\) −1.25558 1.23377i −0.0516476 0.0507507i
\(592\) −4.95660 4.15908i −0.203715 0.170937i
\(593\) 2.84168 4.92193i 0.116694 0.202119i −0.801762 0.597644i \(-0.796104\pi\)
0.918456 + 0.395524i \(0.129437\pi\)
\(594\) −16.4543 + 24.8650i −0.675129 + 1.02022i
\(595\) −14.7049 + 15.9100i −0.602841 + 0.652245i
\(596\) −16.3365 44.8840i −0.669167 1.83852i
\(597\) −6.77179 6.65419i −0.277151 0.272338i
\(598\) −10.7147 + 29.4384i −0.438157 + 1.20383i
\(599\) 25.1283 + 29.9467i 1.02671 + 1.22359i 0.974368 + 0.224961i \(0.0722255\pi\)
0.0523461 + 0.998629i \(0.483330\pi\)
\(600\) 2.70886 + 28.1230i 0.110589 + 1.14812i
\(601\) 14.1568 16.8714i 0.577468 0.688199i −0.395678 0.918389i \(-0.629490\pi\)
0.973146 + 0.230190i \(0.0739347\pi\)
\(602\) 0.836124 3.69639i 0.0340779 0.150654i
\(603\) 7.82887 22.7414i 0.318816 0.926103i
\(604\) −17.3207 −0.704767
\(605\) −14.5230 + 5.28596i −0.590446 + 0.214905i
\(606\) 4.11951 5.99434i 0.167344 0.243503i
\(607\) 15.6462 + 18.6464i 0.635060 + 0.756835i 0.983581 0.180466i \(-0.0577605\pi\)
−0.348521 + 0.937301i \(0.613316\pi\)
\(608\) 7.43729 + 2.70695i 0.301622 + 0.109781i
\(609\) −2.02912 8.96305i −0.0822241 0.363201i
\(610\) 9.85720 55.9029i 0.399106 2.26344i
\(611\) 74.5676i 3.01668i
\(612\) −21.8027 + 4.23947i −0.881322 + 0.171371i
\(613\) −14.5780 −0.588802 −0.294401 0.955682i \(-0.595120\pi\)
−0.294401 + 0.955682i \(0.595120\pi\)
\(614\) 32.3674 11.7808i 1.30624 0.475433i
\(615\) −19.7181 27.6419i −0.795112 1.11463i
\(616\) 0.790382 16.4799i 0.0318454 0.663992i
\(617\) −17.1824 20.4772i −0.691739 0.824383i 0.299826 0.953994i \(-0.403072\pi\)
−0.991565 + 0.129611i \(0.958627\pi\)
\(618\) −36.4418 + 37.0859i −1.46591 + 1.49181i
\(619\) 11.7385 13.9894i 0.471812 0.562283i −0.476684 0.879075i \(-0.658161\pi\)
0.948495 + 0.316792i \(0.102606\pi\)
\(620\) 14.3761 8.30002i 0.577357 0.333337i
\(621\) −9.74562 6.44913i −0.391078 0.258795i
\(622\) 18.9811i 0.761074i
\(623\) 15.9371 + 20.9552i 0.638506 + 0.839551i
\(624\) −6.65351 + 1.84541i −0.266354 + 0.0738757i
\(625\) −2.42847 13.7726i −0.0971389 0.550902i
\(626\) 22.0148 18.4726i 0.879887 0.738313i
\(627\) −3.18570 4.46588i −0.127225 0.178350i
\(628\) 11.5068 + 31.6148i 0.459173 + 1.26157i
\(629\) −12.0220 + 20.8227i −0.479349 + 0.830256i
\(630\) 37.8426 + 47.9896i 1.50769 + 1.91195i
\(631\) −8.50860 14.7373i −0.338722 0.586684i 0.645471 0.763785i \(-0.276661\pi\)
−0.984193 + 0.177101i \(0.943328\pi\)
\(632\) 1.52268 1.81466i 0.0605690 0.0721833i
\(633\) −0.234114 + 2.97593i −0.00930519 + 0.118282i
\(634\) 10.1664 + 57.6566i 0.403760 + 2.28984i
\(635\) −23.1613 + 19.4346i −0.919127 + 0.771239i
\(636\) −25.5627 2.01100i −1.01363 0.0797412i
\(637\) 4.13742 43.0344i 0.163930 1.70508i
\(638\) −9.96556 + 5.75362i −0.394540 + 0.227788i
\(639\) 15.4422 0.270541i 0.610885 0.0107024i
\(640\) 57.0595i 2.25548i
\(641\) −44.5556 7.85636i −1.75984 0.310308i −0.801940 0.597404i \(-0.796199\pi\)
−0.957902 + 0.287097i \(0.907310\pi\)
\(642\) −22.0360 30.8912i −0.869690 1.21918i
\(643\) 1.26736 0.223470i 0.0499799 0.00881280i −0.148602 0.988897i \(-0.547477\pi\)
0.198582 + 0.980084i \(0.436366\pi\)
\(644\) 18.3462 + 0.879892i 0.722941 + 0.0346726i
\(645\) 2.63215 2.67867i 0.103641 0.105472i
\(646\) 1.16938 6.63187i 0.0460086 0.260928i
\(647\) −11.2984 19.5694i −0.444185 0.769351i 0.553810 0.832643i \(-0.313173\pi\)
−0.997995 + 0.0632923i \(0.979840\pi\)
\(648\) 0.772704 + 22.0459i 0.0303547 + 0.866044i
\(649\) 6.07746 + 3.50882i 0.238561 + 0.137733i
\(650\) 87.1118 31.7061i 3.41681 1.24362i
\(651\) 3.30458 6.41789i 0.129517 0.251537i
\(652\) −59.5921 + 50.0037i −2.33381 + 1.95830i
\(653\) −16.2043 + 44.5208i −0.634122 + 1.74224i 0.0353255 + 0.999376i \(0.488753\pi\)
−0.669447 + 0.742860i \(0.733469\pi\)
\(654\) −2.67797 27.8024i −0.104717 1.08716i
\(655\) 11.2221 63.6436i 0.438483 2.48676i
\(656\) −1.85316 3.20976i −0.0723536 0.125320i
\(657\) 19.5013 35.1866i 0.760817 1.37276i
\(658\) 68.8029 21.3694i 2.68222 0.833064i
\(659\) 6.94728 + 1.22499i 0.270628 + 0.0477190i 0.307315 0.951608i \(-0.400569\pi\)
−0.0366873 + 0.999327i \(0.511681\pi\)
\(660\) 26.3015 38.2715i 1.02378 1.48972i
\(661\) 19.4165 3.42366i 0.755216 0.133165i 0.217232 0.976120i \(-0.430297\pi\)
0.537984 + 0.842955i \(0.319186\pi\)
\(662\) −6.55405 + 1.15566i −0.254730 + 0.0449158i
\(663\) 11.0468 + 23.1581i 0.429021 + 0.899387i
\(664\) 6.11946 + 1.07903i 0.237481 + 0.0418743i
\(665\) −10.7381 + 3.33513i −0.416407 + 0.129331i
\(666\) 52.7143 + 42.6815i 2.04264 + 1.65388i
\(667\) −2.25508 3.90592i −0.0873172 0.151238i
\(668\) −1.53710 + 8.71734i −0.0594723 + 0.337284i
\(669\) 30.8339 21.9951i 1.19211 0.850379i
\(670\) −21.1129 + 58.0071i −0.815661 + 2.24101i
\(671\) −14.3685 + 12.0566i −0.554688 + 0.465439i
\(672\) 15.7640 + 24.5023i 0.608111 + 0.945196i
\(673\) 41.0196 14.9299i 1.58119 0.575506i 0.605727 0.795673i \(-0.292883\pi\)
0.975462 + 0.220167i \(0.0706603\pi\)
\(674\) 4.72021 + 2.72521i 0.181816 + 0.104971i
\(675\) 3.91800 + 34.3583i 0.150804 + 1.32245i
\(676\) −38.8073 67.2161i −1.49259 2.58524i
\(677\) −3.65218 + 20.7125i −0.140365 + 0.796047i 0.830608 + 0.556857i \(0.187993\pi\)
−0.970973 + 0.239190i \(0.923118\pi\)
\(678\) 5.55563 + 1.43659i 0.213363 + 0.0551720i
\(679\) 21.2993 + 1.02153i 0.817392 + 0.0392025i
\(680\) 19.7655 3.48518i 0.757971 0.133651i
\(681\) 22.4515 2.16257i 0.860345 0.0828698i
\(682\) −8.90169 1.56961i −0.340863 0.0601034i
\(683\) 15.9478i 0.610227i 0.952316 + 0.305114i \(0.0986945\pi\)
−0.952316 + 0.305114i \(0.901306\pi\)
\(684\) −10.8999 3.75234i −0.416767 0.143474i
\(685\) 4.35566 2.51474i 0.166421 0.0960834i
\(686\) −40.8931 + 8.51510i −1.56131 + 0.325108i
\(687\) 0.655357 + 1.37387i 0.0250034 + 0.0524164i
\(688\) 0.314027 0.263500i 0.0119722 0.0100458i
\(689\) 5.14362 + 29.1709i 0.195956 + 1.11132i
\(690\) 24.7193 + 16.9879i 0.941047 + 0.646719i
\(691\) −8.67771 + 10.3417i −0.330116 + 0.393416i −0.905416 0.424526i \(-0.860441\pi\)
0.575300 + 0.817942i \(0.304885\pi\)
\(692\) −4.02689 6.97478i −0.153079 0.265141i
\(693\) 0.613924 20.1846i 0.0233211 0.766751i
\(694\) −3.59971 + 6.23488i −0.136643 + 0.236673i
\(695\) −15.7797 43.3543i −0.598557 1.64452i
\(696\) −3.53027 + 7.74713i −0.133814 + 0.293654i
\(697\) −10.5505 + 8.85292i −0.399629 + 0.335328i
\(698\) 10.1579 + 57.6086i 0.384484 + 2.18052i
\(699\) 3.50631 13.5597i 0.132621 0.512875i
\(700\) −32.9014 43.2610i −1.24356 1.63511i
\(701\) 5.13366i 0.193896i −0.995289 0.0969478i \(-0.969092\pi\)
0.995289 0.0969478i \(-0.0309080\pi\)
\(702\) 69.3972 20.5637i 2.61923 0.776126i
\(703\) −10.8071 + 6.23950i −0.407599 + 0.235327i
\(704\) 21.3392 25.4311i 0.804253 0.958471i
\(705\) 69.1192 + 17.8731i 2.60318 + 0.673139i
\(706\) −37.6906 44.9179i −1.41850 1.69051i
\(707\) −0.235988 + 4.92047i −0.00887526 + 0.185053i
\(708\) 14.6790 1.41391i 0.551671 0.0531378i
\(709\) 17.7409 6.45715i 0.666272 0.242503i 0.0133301 0.999911i \(-0.495757\pi\)
0.652942 + 0.757408i \(0.273535\pi\)
\(710\) −39.6400 −1.48766
\(711\) 1.82452 2.25339i 0.0684248 0.0845087i
\(712\) 24.3895i 0.914036i
\(713\) 0.615195 3.48894i 0.0230392 0.130662i
\(714\) 18.2021 16.8294i 0.681195 0.629823i
\(715\) −50.4093 18.3475i −1.88520 0.686158i
\(716\) −28.1356 33.5307i −1.05148 1.25310i
\(717\) −4.83212 10.1299i −0.180459 0.378309i
\(718\) 40.3813 14.6976i 1.50702 0.548509i
\(719\) −4.31712 −0.161001 −0.0805007 0.996755i \(-0.525652\pi\)
−0.0805007 + 0.996755i \(0.525652\pi\)
\(720\) 0.115799 + 6.60969i 0.00431557 + 0.246329i
\(721\) 7.76924 34.3467i 0.289342 1.27914i
\(722\) −25.2983 + 30.1494i −0.941506 + 1.12204i
\(723\) −37.7893 + 26.9567i −1.40540 + 1.00253i
\(724\) −13.4395 16.0166i −0.499475 0.595251i
\(725\) −4.56464 + 12.5412i −0.169526 + 0.465770i
\(726\) 17.0412 4.72655i 0.632460 0.175419i
\(727\) −10.4652 28.7528i −0.388131 1.06638i −0.967842 0.251560i \(-0.919056\pi\)
0.579710 0.814823i \(-0.303166\pi\)
\(728\) −27.1847 + 29.4125i −1.00753 + 1.09010i
\(729\) 1.41828 + 26.9627i 0.0525290 + 0.998619i
\(730\) −51.6261 + 89.4191i −1.91077 + 3.30955i
\(731\) −1.16693 0.979168i −0.0431604 0.0362158i
\(732\) −9.86763 + 38.1604i −0.364718 + 1.41045i
\(733\) −18.3922 + 3.24304i −0.679330 + 0.119784i −0.502658 0.864485i \(-0.667644\pi\)
−0.176672 + 0.984270i \(0.556533\pi\)
\(734\) −3.70928 21.0364i −0.136912 0.776466i
\(735\) −38.8983 14.1500i −1.43479 0.521931i
\(736\) 10.9536 + 9.19118i 0.403756 + 0.338791i
\(737\) 17.6644 10.1986i 0.650677 0.375669i
\(738\) 20.0125 + 33.3015i 0.736670 + 1.22585i
\(739\) −20.1593 + 34.9170i −0.741573 + 1.28444i 0.210206 + 0.977657i \(0.432586\pi\)
−0.951779 + 0.306784i \(0.900747\pi\)
\(740\) −80.9237 67.9030i −2.97481 2.49616i
\(741\) −1.04438 + 13.2756i −0.0383664 + 0.487692i
\(742\) 25.4417 13.1057i 0.933995 0.481125i
\(743\) 9.56525 26.2803i 0.350915 0.964131i −0.631162 0.775651i \(-0.717422\pi\)
0.982077 0.188480i \(-0.0603562\pi\)
\(744\) −6.03591 + 2.87922i −0.221287 + 0.105557i
\(745\) 18.0682 + 49.6419i 0.661966 + 1.81874i
\(746\) −38.4742 22.2131i −1.40864 0.813280i
\(747\) 7.51200 + 1.18929i 0.274850 + 0.0435138i
\(748\) −16.3129 9.41823i −0.596457 0.344365i
\(749\) 23.7009 + 9.93659i 0.866013 + 0.363075i
\(750\) −2.11634 21.9716i −0.0772779 0.802290i
\(751\) −35.2133 12.8166i −1.28495 0.467684i −0.392885 0.919588i \(-0.628523\pi\)
−0.892067 + 0.451904i \(0.850745\pi\)
\(752\) 7.32300 + 2.66535i 0.267042 + 0.0971955i
\(753\) −24.5125 + 24.9457i −0.893284 + 0.909071i
\(754\) 27.5097 + 4.85071i 1.00185 + 0.176652i
\(755\) 19.1567 0.697184
\(756\) −23.5821 35.2801i −0.857672 1.28313i
\(757\) 31.2917 1.13732 0.568659 0.822574i \(-0.307463\pi\)
0.568659 + 0.822574i \(0.307463\pi\)
\(758\) −54.0689 9.53381i −1.96387 0.346284i
\(759\) −2.64884 9.55020i −0.0961466 0.346650i
\(760\) 9.78846 + 3.56271i 0.355065 + 0.129233i
\(761\) −32.9687 11.9996i −1.19511 0.434986i −0.333597 0.942716i \(-0.608262\pi\)
−0.861516 + 0.507730i \(0.830485\pi\)
\(762\) 28.1648 20.0912i 1.02030 0.727826i
\(763\) 11.4515 + 15.0573i 0.414574 + 0.545110i
\(764\) 44.7629 + 25.8439i 1.61946 + 0.934998i
\(765\) 24.1138 4.68887i 0.871838 0.169526i
\(766\) −21.2760 12.2837i −0.768734 0.443829i
\(767\) −5.82648 16.0081i −0.210382 0.578020i
\(768\) 1.57555 20.0276i 0.0568529 0.722682i
\(769\) −4.55125 + 12.5045i −0.164122 + 0.450923i −0.994305 0.106568i \(-0.966014\pi\)
0.830183 + 0.557491i \(0.188236\pi\)
\(770\) −2.48293 + 51.7703i −0.0894785 + 1.86567i
\(771\) 6.34194 3.02520i 0.228399 0.108950i
\(772\) −27.1253 22.7608i −0.976261 0.819180i
\(773\) −8.67984 + 15.0339i −0.312192 + 0.540733i