Properties

Label 354.3.h.a.5.19
Level 354
Weight 3
Character 354.5
Analytic conductor 9.646
Analytic rank 0
Dimension 1120
CM no
Inner twists 4

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) = \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) = \( 3 \)
Character orbit: \([\chi]\) = 354.h (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.64580135835\)
Analytic rank: \(0\)
Dimension: \(1120\)
Relative dimension: \(40\) over \(\Q(\zeta_{58})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 5.19
Character \(\chi\) = 354.5
Dual form 354.3.h.a.71.19

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.451561 + 1.34018i) q^{2} +(2.89671 - 0.780416i) q^{3} +(-1.59219 - 1.21035i) q^{4} +(4.65663 + 1.85537i) q^{5} +(-0.262140 + 4.23453i) q^{6} +(4.95113 - 2.29064i) q^{7} +(2.34106 - 1.58728i) q^{8} +(7.78190 - 4.52129i) q^{9} +O(q^{10})\) \(q+(-0.451561 + 1.34018i) q^{2} +(2.89671 - 0.780416i) q^{3} +(-1.59219 - 1.21035i) q^{4} +(4.65663 + 1.85537i) q^{5} +(-0.262140 + 4.23453i) q^{6} +(4.95113 - 2.29064i) q^{7} +(2.34106 - 1.58728i) q^{8} +(7.78190 - 4.52129i) q^{9} +(-4.58929 + 5.40293i) q^{10} +(-4.70193 - 1.30548i) q^{11} +(-5.55668 - 2.26346i) q^{12} +(10.8382 - 20.4431i) q^{13} +(0.834140 + 7.66979i) q^{14} +(14.9369 + 1.74037i) q^{15} +(1.07011 + 3.85420i) q^{16} +(-6.11482 + 13.2170i) q^{17} +(2.54535 + 12.4708i) q^{18} +(-2.29637 + 0.505470i) q^{19} +(-5.16858 - 8.59024i) q^{20} +(12.5544 - 10.4993i) q^{21} +(3.87279 - 5.71194i) q^{22} +(-31.2565 - 5.12424i) q^{23} +(5.54264 - 6.42489i) q^{24} +(0.0919205 + 0.0870718i) q^{25} +(22.5034 + 23.7565i) q^{26} +(19.0135 - 19.1700i) q^{27} +(-10.6556 - 2.34547i) q^{28} +(13.4443 + 39.9013i) q^{29} +(-9.07732 + 19.2323i) q^{30} +(20.2699 + 4.46175i) q^{31} +(-5.64856 - 0.306256i) q^{32} +(-14.6390 - 0.112152i) q^{33} +(-14.9520 - 14.1632i) q^{34} +(27.3056 - 1.48047i) q^{35} +(-17.8626 - 2.22008i) q^{36} +(28.7883 - 42.4596i) q^{37} +(0.359529 - 3.30582i) q^{38} +(15.4412 - 67.6761i) q^{39} +(13.8464 - 3.04783i) q^{40} +(38.8246 - 6.36497i) q^{41} +(8.40190 + 21.5662i) q^{42} +(17.5336 + 63.1505i) q^{43} +(5.90625 + 7.76954i) q^{44} +(44.6261 - 6.61564i) q^{45} +(20.9816 - 39.5756i) q^{46} +(-57.2400 + 22.8065i) q^{47} +(6.10769 + 10.3294i) q^{48} +(-12.4552 + 14.6634i) q^{49} +(-0.158200 + 0.0838723i) q^{50} +(-7.39815 + 43.0579i) q^{51} +(-41.9997 + 19.4312i) q^{52} +(-30.8859 + 26.2347i) q^{53} +(17.1056 + 34.1379i) q^{54} +(-19.4730 - 14.8030i) q^{55} +(7.95502 - 13.2213i) q^{56} +(-6.25746 + 3.25633i) q^{57} -59.5460 q^{58} +(26.8699 + 52.5263i) q^{59} +(-21.6759 - 20.8498i) q^{60} +(-81.1636 - 27.3472i) q^{61} +(-15.1327 + 25.1507i) q^{62} +(28.1726 - 40.2110i) q^{63} +(2.96111 - 7.43181i) q^{64} +(88.3992 - 75.0869i) q^{65} +(6.76068 - 19.5683i) q^{66} +(38.2708 + 56.4452i) q^{67} +(25.7331 - 13.6428i) q^{68} +(-94.5402 + 9.54962i) q^{69} +(-10.3460 + 37.2630i) q^{70} +(74.0651 - 29.5103i) q^{71} +(11.0414 - 22.9366i) q^{72} +(0.282638 - 0.0307388i) q^{73} +(43.9040 + 57.7548i) q^{74} +(0.334220 + 0.180486i) q^{75} +(4.26805 + 1.97461i) q^{76} +(-26.2703 + 4.30679i) q^{77} +(83.7258 + 51.2538i) q^{78} +(-104.388 + 62.8080i) q^{79} +(-2.16785 + 19.9330i) q^{80} +(40.1160 - 70.3684i) q^{81} +(-9.00143 + 54.9063i) q^{82} +(11.6212 - 0.630085i) q^{83} +(-32.6967 + 1.52163i) q^{84} +(-52.9968 + 50.2013i) q^{85} +(-92.5508 - 5.01796i) q^{86} +(70.0840 + 105.091i) q^{87} +(-13.0796 + 4.40705i) q^{88} +(-12.1273 - 35.9925i) q^{89} +(-11.2852 + 62.7945i) q^{90} +(6.83385 - 126.043i) q^{91} +(43.5640 + 45.9900i) q^{92} +(62.1982 - 2.89457i) q^{93} +(-4.71758 - 87.0106i) q^{94} +(-11.6312 - 1.90684i) q^{95} +(-16.6013 + 3.52109i) q^{96} +(-10.8952 - 1.18492i) q^{97} +(-14.0274 - 23.3137i) q^{98} +(-42.4924 + 11.0996i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1120q + 80q^{4} - 8q^{6} - 8q^{7} + 24q^{9} + O(q^{10}) \) \( 1120q + 80q^{4} - 8q^{6} - 8q^{7} + 24q^{9} + 16q^{10} - 34q^{15} - 160q^{16} - 16q^{18} - 24q^{19} + 18q^{21} + 16q^{22} + 16q^{24} + 216q^{25} + 30q^{27} + 16q^{28} + 64q^{30} - 96q^{31} - 76q^{33} - 80q^{34} - 48q^{36} + 200q^{37} + 28q^{39} - 32q^{40} - 48q^{42} + 104q^{43} + 696q^{45} - 32q^{46} - 288q^{49} + 1800q^{51} + 852q^{54} - 360q^{55} + 76q^{57} + 128q^{58} - 280q^{60} + 32q^{61} - 1318q^{63} + 320q^{64} - 1512q^{66} + 344q^{67} - 2640q^{69} - 192q^{70} + 32q^{72} - 40q^{73} - 1014q^{75} + 48q^{76} - 96q^{78} - 32q^{79} - 336q^{81} + 80q^{82} - 36q^{84} - 168q^{85} + 162q^{87} - 32q^{88} - 112q^{90} - 88q^{91} + 316q^{93} + 400q^{94} - 32q^{96} + 184q^{97} + 148q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{3}{29}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.451561 + 1.34018i −0.225780 + 0.670092i
\(3\) 2.89671 0.780416i 0.965571 0.260139i
\(4\) −1.59219 1.21035i −0.398047 0.302587i
\(5\) 4.65663 + 1.85537i 0.931326 + 0.371074i 0.785941 0.618301i \(-0.212179\pi\)
0.145385 + 0.989375i \(0.453558\pi\)
\(6\) −0.262140 + 4.23453i −0.0436900 + 0.705756i
\(7\) 4.95113 2.29064i 0.707305 0.327234i −0.0330468 0.999454i \(-0.510521\pi\)
0.740352 + 0.672220i \(0.234659\pi\)
\(8\) 2.34106 1.58728i 0.292632 0.198410i
\(9\) 7.78190 4.52129i 0.864656 0.502365i
\(10\) −4.58929 + 5.40293i −0.458929 + 0.540293i
\(11\) −4.70193 1.30548i −0.427448 0.118680i 0.0471403 0.998888i \(-0.484989\pi\)
−0.474588 + 0.880208i \(0.657403\pi\)
\(12\) −5.55668 2.26346i −0.463057 0.188622i
\(13\) 10.8382 20.4431i 0.833711 1.57254i 0.0139048 0.999903i \(-0.495574\pi\)
0.819806 0.572642i \(-0.194081\pi\)
\(14\) 0.834140 + 7.66979i 0.0595814 + 0.547842i
\(15\) 14.9369 + 1.74037i 0.995793 + 0.116025i
\(16\) 1.07011 + 3.85420i 0.0668821 + 0.240887i
\(17\) −6.11482 + 13.2170i −0.359695 + 0.777468i 0.640261 + 0.768157i \(0.278826\pi\)
−0.999957 + 0.00931140i \(0.997036\pi\)
\(18\) 2.54535 + 12.4708i 0.141409 + 0.692823i
\(19\) −2.29637 + 0.505470i −0.120862 + 0.0266037i −0.274989 0.961447i \(-0.588674\pi\)
0.154128 + 0.988051i \(0.450743\pi\)
\(20\) −5.16858 8.59024i −0.258429 0.429512i
\(21\) 12.5544 10.4993i 0.597827 0.499965i
\(22\) 3.87279 5.71194i 0.176036 0.259634i
\(23\) −31.2565 5.12424i −1.35898 0.222793i −0.562168 0.827023i \(-0.690033\pi\)
−0.796810 + 0.604230i \(0.793481\pi\)
\(24\) 5.54264 6.42489i 0.230943 0.267704i
\(25\) 0.0919205 + 0.0870718i 0.00367682 + 0.00348287i
\(26\) 22.5034 + 23.7565i 0.865514 + 0.913712i
\(27\) 19.0135 19.1700i 0.704202 0.710000i
\(28\) −10.6556 2.34547i −0.380557 0.0837669i
\(29\) 13.4443 + 39.9013i 0.463597 + 1.37591i 0.883540 + 0.468356i \(0.155154\pi\)
−0.419942 + 0.907551i \(0.637950\pi\)
\(30\) −9.07732 + 19.2323i −0.302577 + 0.641077i
\(31\) 20.2699 + 4.46175i 0.653868 + 0.143927i 0.529502 0.848309i \(-0.322379\pi\)
0.124367 + 0.992236i \(0.460310\pi\)
\(32\) −5.64856 0.306256i −0.176517 0.00957050i
\(33\) −14.6390 0.112152i −0.443605 0.00339854i
\(34\) −14.9520 14.1632i −0.439763 0.416566i
\(35\) 27.3056 1.48047i 0.780160 0.0422990i
\(36\) −17.8626 2.22008i −0.496182 0.0616690i
\(37\) 28.7883 42.4596i 0.778063 1.14756i −0.207498 0.978236i \(-0.566532\pi\)
0.985561 0.169322i \(-0.0541577\pi\)
\(38\) 0.359529 3.30582i 0.00946129 0.0869951i
\(39\) 15.4412 67.6761i 0.395927 1.73528i
\(40\) 13.8464 3.04783i 0.346161 0.0761957i
\(41\) 38.8246 6.36497i 0.946942 0.155243i 0.331526 0.943446i \(-0.392436\pi\)
0.615416 + 0.788203i \(0.288988\pi\)
\(42\) 8.40190 + 21.5662i 0.200045 + 0.513481i
\(43\) 17.5336 + 63.1505i 0.407759 + 1.46862i 0.827755 + 0.561090i \(0.189618\pi\)
−0.419996 + 0.907526i \(0.637968\pi\)
\(44\) 5.90625 + 7.76954i 0.134233 + 0.176581i
\(45\) 44.6261 6.61564i 0.991691 0.147014i
\(46\) 20.9816 39.5756i 0.456122 0.860338i
\(47\) −57.2400 + 22.8065i −1.21787 + 0.485244i −0.888465 0.458944i \(-0.848228\pi\)
−0.329406 + 0.944188i \(0.606849\pi\)
\(48\) 6.10769 + 10.3294i 0.127244 + 0.215195i
\(49\) −12.4552 + 14.6634i −0.254188 + 0.299253i
\(50\) −0.158200 + 0.0838723i −0.00316400 + 0.00167745i
\(51\) −7.39815 + 43.0579i −0.145062 + 0.844272i
\(52\) −41.9997 + 19.4312i −0.807687 + 0.373676i
\(53\) −30.8859 + 26.2347i −0.582753 + 0.494995i −0.889586 0.456768i \(-0.849007\pi\)
0.306832 + 0.951764i \(0.400731\pi\)
\(54\) 17.1056 + 34.1379i 0.316770 + 0.632184i
\(55\) −19.4730 14.8030i −0.354054 0.269145i
\(56\) 7.95502 13.2213i 0.142054 0.236095i
\(57\) −6.25746 + 3.25633i −0.109780 + 0.0571286i
\(58\) −59.5460 −1.02666
\(59\) 26.8699 + 52.5263i 0.455422 + 0.890276i
\(60\) −21.6759 20.8498i −0.361264 0.347497i
\(61\) −81.1636 27.3472i −1.33055 0.448315i −0.437884 0.899032i \(-0.644272\pi\)
−0.892667 + 0.450717i \(0.851168\pi\)
\(62\) −15.1327 + 25.1507i −0.244075 + 0.405656i
\(63\) 28.1726 40.2110i 0.447184 0.638270i
\(64\) 2.96111 7.43181i 0.0462673 0.116122i
\(65\) 88.3992 75.0869i 1.35999 1.15518i
\(66\) 6.76068 19.5683i 0.102435 0.296489i
\(67\) 38.2708 + 56.4452i 0.571206 + 0.842466i 0.998086 0.0618422i \(-0.0196975\pi\)
−0.426880 + 0.904308i \(0.640387\pi\)
\(68\) 25.7331 13.6428i 0.378427 0.200629i
\(69\) −94.5402 + 9.54962i −1.37015 + 0.138400i
\(70\) −10.3460 + 37.2630i −0.147800 + 0.532329i
\(71\) 74.0651 29.5103i 1.04317 0.415637i 0.215295 0.976549i \(-0.430929\pi\)
0.827876 + 0.560912i \(0.189549\pi\)
\(72\) 11.0414 22.9366i 0.153352 0.318564i
\(73\) 0.282638 0.0307388i 0.00387176 0.000421079i −0.106183 0.994347i \(-0.533863\pi\)
0.110055 + 0.993926i \(0.464897\pi\)
\(74\) 43.9040 + 57.7548i 0.593298 + 0.780470i
\(75\) 0.334220 + 0.180486i 0.00445626 + 0.00240648i
\(76\) 4.26805 + 1.97461i 0.0561586 + 0.0259817i
\(77\) −26.2703 + 4.30679i −0.341172 + 0.0559324i
\(78\) 83.7258 + 51.2538i 1.07341 + 0.657101i
\(79\) −104.388 + 62.8080i −1.32136 + 0.795038i −0.988972 0.148103i \(-0.952683\pi\)
−0.332392 + 0.943141i \(0.607856\pi\)
\(80\) −2.16785 + 19.9330i −0.0270981 + 0.249163i
\(81\) 40.1160 70.3684i 0.495259 0.868745i
\(82\) −9.00143 + 54.9063i −0.109774 + 0.669589i
\(83\) 11.6212 0.630085i 0.140015 0.00759138i 0.0160017 0.999872i \(-0.494906\pi\)
0.124013 + 0.992281i \(0.460424\pi\)
\(84\) −32.6967 + 1.52163i −0.389246 + 0.0181147i
\(85\) −52.9968 + 50.2013i −0.623492 + 0.590603i
\(86\) −92.5508 5.01796i −1.07617 0.0583483i
\(87\) 70.0840 + 105.091i 0.805563 + 1.20794i
\(88\) −13.0796 + 4.40705i −0.148632 + 0.0500801i
\(89\) −12.1273 35.9925i −0.136262 0.404410i 0.857698 0.514153i \(-0.171894\pi\)
−0.993960 + 0.109743i \(0.964997\pi\)
\(90\) −11.2852 + 62.7945i −0.125391 + 0.697717i
\(91\) 6.83385 126.043i 0.0750973 1.38509i
\(92\) 43.5640 + 45.9900i 0.473522 + 0.499891i
\(93\) 62.1982 2.89457i 0.668798 0.0311244i
\(94\) −4.71758 87.0106i −0.0501870 0.925645i
\(95\) −11.6312 1.90684i −0.122434 0.0200720i
\(96\) −16.6013 + 3.52109i −0.172930 + 0.0366780i
\(97\) −10.8952 1.18492i −0.112321 0.0122157i 0.0517857 0.998658i \(-0.483509\pi\)
−0.164107 + 0.986443i \(0.552474\pi\)
\(98\) −14.0274 23.3137i −0.143137 0.237895i
\(99\) −42.4924 + 11.0996i −0.429216 + 0.112117i
\(100\) −0.0409674 0.249890i −0.000409674 0.00249890i
\(101\) 7.69907 16.6413i 0.0762284 0.164765i −0.865714 0.500538i \(-0.833135\pi\)
0.941943 + 0.335773i \(0.108998\pi\)
\(102\) −54.3648 29.3581i −0.532988 0.287825i
\(103\) −48.7070 + 37.0261i −0.472884 + 0.359477i −0.814309 0.580432i \(-0.802884\pi\)
0.341425 + 0.939909i \(0.389090\pi\)
\(104\) −7.07589 65.0617i −0.0680374 0.625594i
\(105\) 77.9411 25.5982i 0.742296 0.243793i
\(106\) −21.2125 53.2394i −0.200118 0.502259i
\(107\) −113.608 31.5430i −1.06175 0.294795i −0.307616 0.951511i \(-0.599531\pi\)
−0.754138 + 0.656716i \(0.771945\pi\)
\(108\) −53.4753 + 7.50929i −0.495142 + 0.0695305i
\(109\) 40.2557 + 75.9303i 0.369318 + 0.696608i 0.996618 0.0821696i \(-0.0261849\pi\)
−0.627300 + 0.778778i \(0.715840\pi\)
\(110\) 28.6319 19.4129i 0.260290 0.176481i
\(111\) 50.2554 145.460i 0.452751 1.31045i
\(112\) 14.1269 + 16.6314i 0.126133 + 0.148495i
\(113\) −105.837 42.1693i −0.936611 0.373180i −0.148639 0.988891i \(-0.547489\pi\)
−0.787972 + 0.615712i \(0.788869\pi\)
\(114\) −1.53846 9.85658i −0.0134953 0.0864613i
\(115\) −136.043 81.8541i −1.18298 0.711775i
\(116\) 26.8886 79.8026i 0.231799 0.687954i
\(117\) −8.08692 208.089i −0.0691190 1.77854i
\(118\) −82.5283 + 12.2918i −0.699392 + 0.104168i
\(119\) 79.4458i 0.667612i
\(120\) 37.7306 19.6347i 0.314421 0.163622i
\(121\) −83.2759 50.1054i −0.688230 0.414095i
\(122\) 73.3005 96.4252i 0.600824 0.790371i
\(123\) 107.496 48.7369i 0.873955 0.396235i
\(124\) −26.8732 31.6376i −0.216720 0.255142i
\(125\) −52.3524 113.158i −0.418819 0.905263i
\(126\) 41.1685 + 55.9142i 0.326734 + 0.443763i
\(127\) −70.7883 133.521i −0.557388 1.05135i −0.988808 0.149194i \(-0.952332\pi\)
0.431420 0.902151i \(-0.358013\pi\)
\(128\) 8.62288 + 7.32434i 0.0673662 + 0.0572214i
\(129\) 100.074 + 169.245i 0.775764 + 1.31198i
\(130\) 60.7127 + 152.377i 0.467021 + 1.17213i
\(131\) −180.707 95.8047i −1.37944 0.731334i −0.396985 0.917825i \(-0.629944\pi\)
−0.982457 + 0.186491i \(0.940288\pi\)
\(132\) 23.1722 + 17.8968i 0.175547 + 0.135582i
\(133\) −10.2118 + 7.76282i −0.0767805 + 0.0583670i
\(134\) −92.9286 + 25.8015i −0.693497 + 0.192548i
\(135\) 124.106 53.9906i 0.919304 0.399930i
\(136\) 6.66383 + 40.6476i 0.0489988 + 0.298879i
\(137\) 11.4188 + 51.8762i 0.0833490 + 0.378659i 0.999767 0.0215630i \(-0.00686423\pi\)
−0.916418 + 0.400221i \(0.868933\pi\)
\(138\) 29.8924 131.013i 0.216611 0.949373i
\(139\) 34.7602 + 3.78040i 0.250074 + 0.0271972i 0.232297 0.972645i \(-0.425376\pi\)
0.0177764 + 0.999842i \(0.494341\pi\)
\(140\) −45.2675 30.6921i −0.323339 0.219229i
\(141\) −148.009 + 110.735i −1.04971 + 0.785354i
\(142\) 6.10427 + 112.587i 0.0429878 + 0.792863i
\(143\) −77.6487 + 81.9728i −0.542998 + 0.573236i
\(144\) 25.7535 + 25.1547i 0.178843 + 0.174686i
\(145\) −11.4265 + 210.750i −0.0788036 + 1.45345i
\(146\) −0.0864327 + 0.392668i −0.000592005 + 0.00268950i
\(147\) −24.6356 + 52.1960i −0.167589 + 0.355075i
\(148\) −97.2273 + 32.7597i −0.656941 + 0.221349i
\(149\) 36.9999 168.092i 0.248322 1.12814i −0.673094 0.739557i \(-0.735035\pi\)
0.921415 0.388579i \(-0.127034\pi\)
\(150\) −0.392804 + 0.366416i −0.00261870 + 0.00244277i
\(151\) 141.118 133.674i 0.934557 0.885260i −0.0590380 0.998256i \(-0.518803\pi\)
0.993595 + 0.112996i \(0.0360447\pi\)
\(152\) −4.57363 + 4.82832i −0.0300896 + 0.0317652i
\(153\) 12.1728 + 130.500i 0.0795605 + 0.852941i
\(154\) 6.09072 37.1518i 0.0395501 0.241245i
\(155\) 86.1113 + 58.3849i 0.555557 + 0.376677i
\(156\) −106.497 + 89.0638i −0.682672 + 0.570922i
\(157\) 129.376 77.8429i 0.824050 0.495815i −0.0400122 0.999199i \(-0.512740\pi\)
0.864062 + 0.503385i \(0.167912\pi\)
\(158\) −37.0369 168.260i −0.234411 1.06494i
\(159\) −68.9937 + 100.098i −0.433923 + 0.629550i
\(160\) −25.7350 11.9063i −0.160844 0.0744143i
\(161\) −166.493 + 46.2265i −1.03412 + 0.287121i
\(162\) 76.1918 + 85.5384i 0.470320 + 0.528015i
\(163\) −176.141 + 19.1565i −1.08062 + 0.117524i −0.631066 0.775729i \(-0.717382\pi\)
−0.449553 + 0.893254i \(0.648417\pi\)
\(164\) −69.5199 36.8571i −0.423902 0.224738i
\(165\) −67.9601 27.6830i −0.411880 0.167775i
\(166\) −4.40326 + 15.8591i −0.0265257 + 0.0955368i
\(167\) 65.6697 + 55.7804i 0.393232 + 0.334014i 0.822090 0.569358i \(-0.192808\pi\)
−0.428858 + 0.903372i \(0.641084\pi\)
\(168\) 12.7253 44.5067i 0.0757456 0.264921i
\(169\) −205.612 303.255i −1.21664 1.79441i
\(170\) −43.3477 93.6944i −0.254986 0.551144i
\(171\) −15.5848 + 14.3161i −0.0911391 + 0.0837198i
\(172\) 48.5173 121.769i 0.282077 0.707960i
\(173\) −83.8278 + 110.274i −0.484554 + 0.637420i −0.971789 0.235851i \(-0.924212\pi\)
0.487235 + 0.873271i \(0.338005\pi\)
\(174\) −172.488 + 46.4707i −0.991309 + 0.267073i
\(175\) 0.654561 + 0.220547i 0.00374035 + 0.00126027i
\(176\) 19.5192i 0.110904i
\(177\) 118.827 + 131.184i 0.671337 + 0.741152i
\(178\) 53.7128 0.301757
\(179\) −51.0723 + 151.577i −0.285320 + 0.846800i 0.705148 + 0.709060i \(0.250880\pi\)
−0.990468 + 0.137740i \(0.956016\pi\)
\(180\) −79.0603 43.4798i −0.439224 0.241554i
\(181\) 271.207 + 206.166i 1.49838 + 1.13904i 0.953845 + 0.300300i \(0.0970869\pi\)
0.544535 + 0.838738i \(0.316706\pi\)
\(182\) 165.835 + 66.0746i 0.911180 + 0.363047i
\(183\) −256.450 15.8756i −1.40137 0.0867520i
\(184\) −81.3069 + 37.6166i −0.441885 + 0.204438i
\(185\) 212.835 144.306i 1.15046 0.780031i
\(186\) −24.2070 + 84.6641i −0.130145 + 0.455183i
\(187\) 46.0060 54.1624i 0.246021 0.289639i
\(188\) 118.740 + 32.9681i 0.631598 + 0.175362i
\(189\) 50.2266 138.466i 0.265749 0.732625i
\(190\) 7.80771 14.7269i 0.0410932 0.0775100i
\(191\) −11.4856 105.609i −0.0601342 0.552925i −0.984991 0.172608i \(-0.944781\pi\)
0.924856 0.380317i \(-0.124185\pi\)
\(192\) 2.77757 23.8387i 0.0144665 0.124160i
\(193\) 28.4385 + 102.426i 0.147350 + 0.530706i 0.999967 + 0.00816939i \(0.00260043\pi\)
−0.852617 + 0.522537i \(0.824986\pi\)
\(194\) 6.50784 14.0665i 0.0335456 0.0725075i
\(195\) 197.468 286.494i 1.01266 1.46920i
\(196\) 37.5789 8.27174i 0.191729 0.0422027i
\(197\) 92.0300 + 152.955i 0.467157 + 0.776422i 0.997448 0.0713943i \(-0.0227449\pi\)
−0.530291 + 0.847816i \(0.677917\pi\)
\(198\) 4.31237 61.9598i 0.0217797 0.312928i
\(199\) −127.385 + 187.879i −0.640126 + 0.944115i 0.359813 + 0.933025i \(0.382841\pi\)
−0.999939 + 0.0110903i \(0.996470\pi\)
\(200\) 0.353398 + 0.0579367i 0.00176699 + 0.000289684i
\(201\) 154.910 + 133.639i 0.770699 + 0.664868i
\(202\) 18.8258 + 17.8327i 0.0931969 + 0.0882808i
\(203\) 157.964 + 166.761i 0.778148 + 0.821481i
\(204\) 63.8942 59.6018i 0.313207 0.292166i
\(205\) 192.601 + 42.3948i 0.939519 + 0.206804i
\(206\) −27.6276 81.9959i −0.134115 0.398038i
\(207\) −266.403 + 101.443i −1.28697 + 0.490064i
\(208\) 90.3899 + 19.8963i 0.434567 + 0.0956554i
\(209\) 11.4573 + 0.621195i 0.0548195 + 0.00297223i
\(210\) −0.888810 + 116.015i −0.00423243 + 0.552450i
\(211\) 19.4643 + 18.4375i 0.0922476 + 0.0873816i 0.732434 0.680838i \(-0.238384\pi\)
−0.640186 + 0.768220i \(0.721143\pi\)
\(212\) 80.9293 4.38786i 0.381742 0.0206975i
\(213\) 191.515 143.284i 0.899133 0.672697i
\(214\) 93.5742 138.012i 0.437263 0.644914i
\(215\) −35.5199 + 326.600i −0.165209 + 1.51907i
\(216\) 14.0835 75.0577i 0.0652015 0.347489i
\(217\) 110.579 24.3404i 0.509582 0.112168i
\(218\) −119.938 + 19.6629i −0.550176 + 0.0901968i
\(219\) 0.794733 0.309617i 0.00362892 0.00141378i
\(220\) 13.0879 + 47.1382i 0.0594902 + 0.214264i
\(221\) 203.922 + 268.254i 0.922722 + 1.21382i
\(222\) 172.250 + 133.036i 0.775902 + 0.599259i
\(223\) −111.508 + 210.326i −0.500036 + 0.943168i 0.497111 + 0.867687i \(0.334394\pi\)
−0.997147 + 0.0754809i \(0.975951\pi\)
\(224\) −28.6683 + 11.4225i −0.127983 + 0.0509933i
\(225\) 1.10899 + 0.261985i 0.00492886 + 0.00116438i
\(226\) 104.306 122.799i 0.461533 0.543359i
\(227\) −101.977 + 54.0648i −0.449238 + 0.238171i −0.677637 0.735397i \(-0.736996\pi\)
0.228399 + 0.973568i \(0.426651\pi\)
\(228\) 13.9043 + 2.38903i 0.0609840 + 0.0104782i
\(229\) 194.973 90.2040i 0.851409 0.393904i 0.0548719 0.998493i \(-0.482525\pi\)
0.796537 + 0.604590i \(0.206663\pi\)
\(230\) 171.131 145.360i 0.744048 0.632000i
\(231\) −72.7363 + 32.9773i −0.314876 + 0.142759i
\(232\) 94.8083 + 72.0714i 0.408657 + 0.310653i
\(233\) 103.339 171.750i 0.443513 0.737125i −0.551784 0.833987i \(-0.686053\pi\)
0.995298 + 0.0968618i \(0.0308805\pi\)
\(234\) 282.529 + 83.1267i 1.20739 + 0.355242i
\(235\) −308.860 −1.31430
\(236\) 20.7933 116.154i 0.0881071 0.492176i
\(237\) −253.365 + 263.403i −1.06905 + 1.11140i
\(238\) −106.472 35.8746i −0.447361 0.150734i
\(239\) 50.5720 84.0513i 0.211598 0.351679i −0.732822 0.680421i \(-0.761797\pi\)
0.944420 + 0.328742i \(0.106625\pi\)
\(240\) 9.27643 + 59.4321i 0.0386518 + 0.247634i
\(241\) 61.8027 155.113i 0.256443 0.643623i −0.743234 0.669031i \(-0.766709\pi\)
0.999677 + 0.0254081i \(0.00808851\pi\)
\(242\) 104.755 88.9794i 0.432870 0.367683i
\(243\) 61.2878 235.144i 0.252213 0.967672i
\(244\) 96.1279 + 141.778i 0.393967 + 0.581058i
\(245\) −85.2055 + 45.1731i −0.347777 + 0.184380i
\(246\) 16.7752 + 166.073i 0.0681919 + 0.675092i
\(247\) −14.5553 + 52.4234i −0.0589283 + 0.212240i
\(248\) 54.5351 21.7288i 0.219900 0.0876160i
\(249\) 33.1716 10.8946i 0.133219 0.0437533i
\(250\) 175.293 19.0642i 0.701170 0.0762569i
\(251\) 208.933 + 274.846i 0.832401 + 1.09500i 0.994132 + 0.108170i \(0.0344989\pi\)
−0.161732 + 0.986835i \(0.551708\pi\)
\(252\) −93.5254 + 29.9247i −0.371132 + 0.118749i
\(253\) 140.276 + 64.8987i 0.554451 + 0.256516i
\(254\) 210.908 34.5766i 0.830345 0.136128i
\(255\) −114.339 + 186.778i −0.448387 + 0.732464i
\(256\) −13.7097 + 8.24886i −0.0535536 + 0.0322221i
\(257\) −33.8877 + 311.592i −0.131859 + 1.21242i 0.721991 + 0.691902i \(0.243227\pi\)
−0.853850 + 0.520519i \(0.825739\pi\)
\(258\) −272.009 + 57.6925i −1.05430 + 0.223614i
\(259\) 45.2753 276.167i 0.174808 1.06628i
\(260\) −231.629 + 12.5586i −0.890882 + 0.0483022i
\(261\) 285.028 + 249.722i 1.09206 + 0.956791i
\(262\) 209.996 198.919i 0.801512 0.759232i
\(263\) 181.790 + 9.85636i 0.691216 + 0.0374766i 0.396401 0.918078i \(-0.370259\pi\)
0.294815 + 0.955554i \(0.404742\pi\)
\(264\) −34.4487 + 22.9735i −0.130487 + 0.0870209i
\(265\) −192.500 + 64.8607i −0.726414 + 0.244757i
\(266\) −5.79235 17.1911i −0.0217758 0.0646281i
\(267\) −63.2184 94.7956i −0.236773 0.355040i
\(268\) 7.38414 136.192i 0.0275527 0.508180i
\(269\) −82.6770 87.2811i −0.307350 0.324465i 0.553962 0.832542i \(-0.313115\pi\)
−0.861312 + 0.508077i \(0.830357\pi\)
\(270\) 16.3159 + 190.705i 0.0604291 + 0.706315i
\(271\) 10.5918 + 195.354i 0.0390841 + 0.720864i 0.950755 + 0.309943i \(0.100310\pi\)
−0.911671 + 0.410921i \(0.865207\pi\)
\(272\) −57.4844 9.42408i −0.211340 0.0346474i
\(273\) −78.5703 370.444i −0.287803 1.35694i
\(274\) −74.6800 8.12194i −0.272555 0.0296421i
\(275\) −0.318533 0.529406i −0.00115830 0.00192511i
\(276\) 162.084 + 99.2218i 0.587261 + 0.359499i
\(277\) −37.2985 227.511i −0.134652 0.821339i −0.964642 0.263562i \(-0.915103\pi\)
0.829991 0.557777i \(-0.188346\pi\)
\(278\) −20.7628 + 44.8780i −0.0746863 + 0.161432i
\(279\) 177.911 56.9252i 0.637675 0.204033i
\(280\) 61.5741 46.8074i 0.219907 0.167169i
\(281\) −34.6705 318.790i −0.123383 1.13448i −0.878114 0.478451i \(-0.841199\pi\)
0.754732 0.656033i \(-0.227767\pi\)
\(282\) −81.5700 248.363i −0.289255 0.880720i
\(283\) −176.931 444.064i −0.625199 1.56913i −0.810048 0.586364i \(-0.800559\pi\)
0.184849 0.982767i \(-0.440821\pi\)
\(284\) −153.643 42.6588i −0.540997 0.150207i
\(285\) −35.1804 + 3.55361i −0.123440 + 0.0124688i
\(286\) −74.7955 141.079i −0.261523 0.493284i
\(287\) 177.646 120.447i 0.618976 0.419676i
\(288\) −45.3412 + 23.1555i −0.157435 + 0.0804010i
\(289\) 49.7975 + 58.6262i 0.172310 + 0.202859i
\(290\) −277.284 110.480i −0.956151 0.380965i
\(291\) −32.4849 + 5.07039i −0.111632 + 0.0174240i
\(292\) −0.487217 0.293149i −0.00166855 0.00100393i
\(293\) 70.8723 210.342i 0.241885 0.717889i −0.756101 0.654455i \(-0.772898\pi\)
0.997986 0.0634342i \(-0.0202053\pi\)
\(294\) −58.8277 56.5859i −0.200094 0.192469i
\(295\) 27.6673 + 294.449i 0.0937875 + 0.998132i
\(296\) 145.095i 0.490187i
\(297\) −114.426 + 65.3141i −0.385273 + 0.219913i
\(298\) 208.567 + 125.491i 0.699889 + 0.421109i
\(299\) −443.521 + 583.442i −1.48335 + 1.95131i
\(300\) −0.313689 0.691889i −0.00104563 0.00230630i
\(301\) 231.466 + 272.503i 0.768991 + 0.905326i
\(302\) 115.425 + 249.486i 0.382201 + 0.826114i
\(303\) 9.31489 54.2135i 0.0307422 0.178922i
\(304\) −4.40557 8.30978i −0.0144920 0.0273348i
\(305\) −327.210 277.934i −1.07282 0.911260i
\(306\) −180.391 42.6149i −0.589512 0.139264i
\(307\) 16.1268 + 40.4752i 0.0525303 + 0.131841i 0.952900 0.303285i \(-0.0980833\pi\)
−0.900370 + 0.435126i \(0.856704\pi\)
\(308\) 47.0399 + 24.9390i 0.152727 + 0.0809707i
\(309\) −112.194 + 145.266i −0.363089 + 0.470116i
\(310\) −117.131 + 89.0407i −0.377842 + 0.287228i
\(311\) −410.193 + 113.890i −1.31895 + 0.366204i −0.854526 0.519409i \(-0.826152\pi\)
−0.464423 + 0.885614i \(0.653738\pi\)
\(312\) −71.2721 182.943i −0.228436 0.586356i
\(313\) −47.2858 288.431i −0.151073 0.921504i −0.948196 0.317687i \(-0.897094\pi\)
0.797123 0.603817i \(-0.206354\pi\)
\(314\) 45.9027 + 208.538i 0.146187 + 0.664135i
\(315\) 205.796 134.977i 0.653320 0.428499i
\(316\) 242.224 + 26.3435i 0.766533 + 0.0833654i
\(317\) 198.852 + 134.825i 0.627293 + 0.425315i 0.832980 0.553302i \(-0.186633\pi\)
−0.205687 + 0.978618i \(0.565943\pi\)
\(318\) −102.996 137.665i −0.323885 0.432908i
\(319\) −11.1237 205.164i −0.0348705 0.643149i
\(320\) 27.5775 29.1133i 0.0861798 0.0909789i
\(321\) −353.706 2.70981i −1.10189 0.00844177i
\(322\) 13.2296 244.005i 0.0410857 0.757780i
\(323\) 7.36113 33.4420i 0.0227899 0.103535i
\(324\) −149.042 + 63.4853i −0.460007 + 0.195942i
\(325\) 2.77627 0.935435i 0.00854238 0.00287826i
\(326\) 53.8651 244.712i 0.165230 0.750649i
\(327\) 175.866 + 188.532i 0.537818 + 0.576551i
\(328\) 80.7877 76.5262i 0.246304 0.233312i
\(329\) −231.161 + 244.034i −0.702618 + 0.741745i
\(330\) 67.7884 78.5786i 0.205419 0.238117i
\(331\) 1.62309 9.90039i 0.00490359 0.0299106i −0.984261 0.176719i \(-0.943452\pi\)
0.989165 + 0.146808i \(0.0469000\pi\)
\(332\) −19.2658 13.0625i −0.0580295 0.0393450i
\(333\) 32.0559 460.577i 0.0962641 1.38311i
\(334\) −104.410 + 62.8213i −0.312604 + 0.188088i
\(335\) 73.4862 + 333.851i 0.219362 + 0.996571i
\(336\) 53.9009 + 37.1516i 0.160419 + 0.110570i
\(337\) 485.503 + 224.617i 1.44066 + 0.666521i 0.975760 0.218842i \(-0.0702280\pi\)
0.464901 + 0.885363i \(0.346090\pi\)
\(338\) 499.263 138.620i 1.47711 0.410117i
\(339\) −339.489 39.5555i −1.00144 0.116683i
\(340\) 145.142 15.7851i 0.426888 0.0464268i
\(341\) −89.4830 47.4409i −0.262413 0.139123i
\(342\) −12.1487 27.3511i −0.0355226 0.0799739i
\(343\) −99.5923 + 358.699i −0.290357 + 1.04577i
\(344\) 141.285 + 120.008i 0.410711 + 0.348861i
\(345\) −457.957 130.938i −1.32741 0.379531i
\(346\) −109.934 162.140i −0.317727 0.468612i
\(347\) −265.501 573.871i −0.765133 1.65381i −0.756629 0.653844i \(-0.773155\pi\)
−0.00850360 0.999964i \(-0.502707\pi\)
\(348\) 15.6094 252.150i 0.0448546 0.724568i
\(349\) −50.8812 + 127.702i −0.145791 + 0.365909i −0.983679 0.179935i \(-0.942411\pi\)
0.837887 + 0.545843i \(0.183791\pi\)
\(350\) −0.591148 + 0.777642i −0.00168899 + 0.00222183i
\(351\) −185.821 596.463i −0.529406 1.69932i
\(352\) 26.1593 + 8.81409i 0.0743162 + 0.0250400i
\(353\) 318.985i 0.903641i −0.892109 0.451821i \(-0.850775\pi\)
0.892109 0.451821i \(-0.149225\pi\)
\(354\) −229.468 + 100.012i −0.648215 + 0.282520i
\(355\) 399.647 1.12576
\(356\) −24.2546 + 71.9850i −0.0681308 + 0.202205i
\(357\) 62.0008 + 230.132i 0.173672 + 0.644627i
\(358\) −180.079 136.893i −0.503014 0.382381i
\(359\) −32.4110 12.9137i −0.0902813 0.0359713i 0.324560 0.945865i \(-0.394784\pi\)
−0.414842 + 0.909894i \(0.636163\pi\)
\(360\) 93.9714 86.3216i 0.261032 0.239782i
\(361\) −322.617 + 149.258i −0.893676 + 0.413458i
\(362\) −398.767 + 270.370i −1.10157 + 0.746880i
\(363\) −280.330 80.1513i −0.772258 0.220802i
\(364\) −163.437 + 192.412i −0.449002 + 0.528606i
\(365\) 1.37317 + 0.381260i 0.00376212 + 0.00104455i
\(366\) 137.079 336.521i 0.374532 0.919457i
\(367\) −162.262 + 306.059i −0.442132 + 0.833949i 0.557860 + 0.829935i \(0.311622\pi\)
−0.999992 + 0.00401382i \(0.998722\pi\)
\(368\) −13.6981 125.952i −0.0372232 0.342262i
\(369\) 273.352 225.069i 0.740790 0.609943i
\(370\) 97.2883 + 350.401i 0.262941 + 0.947029i
\(371\) −92.8261 + 200.640i −0.250205 + 0.540809i
\(372\) −102.535 70.6728i −0.275630 0.189981i
\(373\) 562.685 123.856i 1.50854 0.332055i 0.617715 0.786402i \(-0.288059\pi\)
0.890824 + 0.454348i \(0.150128\pi\)
\(374\) 51.8131 + 86.1141i 0.138538 + 0.230252i
\(375\) −239.960 286.929i −0.639894 0.765145i
\(376\) −97.8019 + 144.247i −0.260111 + 0.383636i
\(377\) 961.419 + 157.617i 2.55018 + 0.418081i
\(378\) 162.890 + 129.839i 0.430925 + 0.343489i
\(379\) 133.973 + 126.906i 0.353491 + 0.334844i 0.843754 0.536730i \(-0.180341\pi\)
−0.490263 + 0.871574i \(0.663099\pi\)
\(380\) 16.2111 + 17.1139i 0.0426608 + 0.0450365i
\(381\) −309.255 331.527i −0.811694 0.870151i
\(382\) 146.721 + 32.2958i 0.384088 + 0.0845441i
\(383\) −101.979 302.662i −0.266263 0.790241i −0.994483 0.104897i \(-0.966549\pi\)
0.728220 0.685344i \(-0.240348\pi\)
\(384\) 30.6940 + 14.4871i 0.0799324 + 0.0377268i
\(385\) −130.322 28.6860i −0.338498 0.0745090i
\(386\) −150.112 8.13882i −0.388891 0.0210850i
\(387\) 421.966 + 412.156i 1.09035 + 1.06500i
\(388\) 15.9130 + 15.0736i 0.0410128 + 0.0388494i
\(389\) 649.277 35.2028i 1.66909 0.0904955i 0.804819 0.593520i \(-0.202262\pi\)
0.864272 + 0.503024i \(0.167779\pi\)
\(390\) 294.785 + 394.013i 0.755860 + 1.01029i
\(391\) 258.855 381.782i 0.662033 0.976425i
\(392\) −5.88349 + 54.0978i −0.0150089 + 0.138005i
\(393\) −598.224 136.492i −1.52220 0.347309i
\(394\) −246.545 + 54.2687i −0.625749 + 0.137738i
\(395\) −602.627 + 98.7957i −1.52564 + 0.250116i
\(396\) 81.0902 + 33.7580i 0.204773 + 0.0852474i
\(397\) 158.902 + 572.314i 0.400257 + 1.44160i 0.839565 + 0.543259i \(0.182810\pi\)
−0.439308 + 0.898337i \(0.644776\pi\)
\(398\) −194.270 255.558i −0.488116 0.642106i
\(399\) −23.5225 + 30.4561i −0.0589535 + 0.0763311i
\(400\) −0.237227 + 0.447457i −0.000593066 + 0.00111864i
\(401\) 590.820 235.404i 1.47337 0.587043i 0.511190 0.859468i \(-0.329205\pi\)
0.962177 + 0.272424i \(0.0878255\pi\)
\(402\) −249.052 + 147.263i −0.619531 + 0.366325i
\(403\) 310.902 366.022i 0.771469 0.908244i
\(404\) −32.4001 + 17.1774i −0.0801982 + 0.0425184i
\(405\) 317.365 253.250i 0.783617 0.625308i
\(406\) −294.820 + 136.398i −0.726158 + 0.335957i
\(407\) −190.791 + 162.059i −0.468774 + 0.398180i
\(408\) 51.0253 + 112.544i 0.125062 + 0.275843i
\(409\) −42.0644 31.9765i −0.102847 0.0781821i 0.552487 0.833522i \(-0.313679\pi\)
−0.655334 + 0.755339i \(0.727472\pi\)
\(410\) −143.788 + 238.977i −0.350702 + 0.582872i
\(411\) 73.5621 + 141.359i 0.178983 + 0.343939i
\(412\) 122.365 0.297003
\(413\) 253.355 + 198.516i 0.613451 + 0.480667i
\(414\) −15.6554 402.837i −0.0378150 0.973036i
\(415\) 55.2848 + 18.6276i 0.133216 + 0.0448858i
\(416\) −67.4812 + 112.155i −0.162214 + 0.269603i
\(417\) 103.641 16.1767i 0.248539 0.0387931i
\(418\) −6.00617 + 15.0743i −0.0143688 + 0.0360630i
\(419\) −204.333 + 173.562i −0.487668 + 0.414229i −0.857196 0.514991i \(-0.827795\pi\)
0.369528 + 0.929220i \(0.379519\pi\)
\(420\) −155.079 53.5788i −0.369237 0.127568i
\(421\) 199.704 + 294.542i 0.474357 + 0.699624i 0.987312 0.158791i \(-0.0507597\pi\)
−0.512955 + 0.858415i \(0.671449\pi\)
\(422\) −33.4990 + 17.7600i −0.0793814 + 0.0420854i
\(423\) −342.321 + 436.276i −0.809270 + 1.03139i
\(424\) −30.6640 + 110.442i −0.0723207 + 0.260475i
\(425\) −1.71290 + 0.682482i −0.00403036 + 0.00160584i
\(426\) 105.547 + 321.367i 0.247762 + 0.754383i
\(427\) −464.494 + 50.5168i −1.08781 + 0.118306i
\(428\) 142.707 + 187.727i 0.333427 + 0.438615i
\(429\) −160.953 + 298.050i −0.375182 + 0.694755i
\(430\) −421.665 195.083i −0.980615 0.453681i
\(431\) −200.968 + 32.9471i −0.466284 + 0.0764434i −0.390344 0.920669i \(-0.627644\pi\)
−0.0759399 + 0.997112i \(0.524196\pi\)
\(432\) 94.2315 + 52.7676i 0.218129 + 0.122147i
\(433\) 360.610 216.972i 0.832817 0.501089i −0.0341724 0.999416i \(-0.510880\pi\)
0.866989 + 0.498327i \(0.166052\pi\)
\(434\) −17.3127 + 159.188i −0.0398911 + 0.366792i
\(435\) 131.373 + 619.399i 0.302007 + 1.42391i
\(436\) 27.8075 169.619i 0.0637788 0.389033i
\(437\) 74.3668 4.03205i 0.170176 0.00922666i
\(438\) 0.0560735 + 1.20490i 0.000128022 + 0.00275091i
\(439\) 124.321 117.763i 0.283191 0.268253i −0.532897 0.846180i \(-0.678897\pi\)
0.816088 + 0.577927i \(0.196138\pi\)
\(440\) −69.0838 3.74561i −0.157009 0.00851276i
\(441\) −30.6278 + 170.423i −0.0694508 + 0.386446i
\(442\) −451.593 + 152.159i −1.02170 + 0.344252i
\(443\) −77.6409 230.430i −0.175262 0.520158i 0.823635 0.567120i \(-0.191943\pi\)
−0.998897 + 0.0469622i \(0.985046\pi\)
\(444\) −256.074 + 170.773i −0.576742 + 0.384624i
\(445\) 10.3072 190.104i 0.0231622 0.427201i
\(446\) −231.523 244.416i −0.519111 0.548019i
\(447\) −24.0038 515.791i −0.0536998 1.15389i
\(448\) −2.36277 43.5787i −0.00527404 0.0972740i
\(449\) −196.490 32.2129i −0.437617 0.0717436i −0.0610534 0.998135i \(-0.519446\pi\)
−0.376563 + 0.926391i \(0.622894\pi\)
\(450\) −0.851885 + 1.36795i −0.00189308 + 0.00303989i
\(451\) −190.860 20.7573i −0.423193 0.0460250i
\(452\) 117.473 + 195.241i 0.259895 + 0.431949i
\(453\) 304.457 497.347i 0.672091 1.09790i
\(454\) −26.4080 161.082i −0.0581674 0.354805i
\(455\) 265.679 574.256i 0.583910 1.26210i
\(456\) −9.48039 + 17.5556i −0.0207903 + 0.0384991i
\(457\) −427.855 + 325.247i −0.936225 + 0.711700i −0.957609 0.288072i \(-0.906986\pi\)
0.0213839 + 0.999771i \(0.493193\pi\)
\(458\) 32.8479 + 302.032i 0.0717204 + 0.659458i
\(459\) 137.105 + 368.521i 0.298704 + 0.802878i
\(460\) 117.533 + 294.986i 0.255507 + 0.641274i
\(461\) −81.1949 22.5436i −0.176128 0.0489016i 0.178345 0.983968i \(-0.442926\pi\)
−0.354473 + 0.935066i \(0.615340\pi\)
\(462\) −11.3508 112.371i −0.0245687 0.243228i
\(463\) −368.163 694.430i −0.795169 1.49985i −0.864711 0.502270i \(-0.832498\pi\)
0.0695416 0.997579i \(-0.477846\pi\)
\(464\) −139.401 + 94.5160i −0.300432 + 0.203698i
\(465\) 295.004 + 101.922i 0.634418 + 0.219187i
\(466\) 183.513 + 216.048i 0.393805 + 0.463623i
\(467\) −617.232 245.928i −1.32170 0.526612i −0.400709 0.916206i \(-0.631236\pi\)
−0.920987 + 0.389594i \(0.872615\pi\)
\(468\) −238.984 + 341.104i −0.510650 + 0.728855i
\(469\) 318.780 + 191.803i 0.679701 + 0.408962i
\(470\) 139.469 413.929i 0.296742 0.880700i
\(471\) 314.015 326.456i 0.666699 0.693112i
\(472\) 146.278 + 80.3172i 0.309910 + 0.170163i
\(473\) 319.819i 0.676150i
\(474\) −238.598 458.498i −0.503372 0.967295i
\(475\) −0.255096 0.153486i −0.000537045 0.000323129i
\(476\) 96.1571 126.493i 0.202011 0.265741i
\(477\) −121.737 + 343.800i −0.255213 + 0.720755i
\(478\) 89.8078 + 105.730i 0.187883 + 0.221192i
\(479\) 174.854 + 377.942i 0.365040 + 0.789022i 0.999866 + 0.0163666i \(0.00520988\pi\)
−0.634826 + 0.772655i \(0.718928\pi\)
\(480\) −83.8389 14.4051i −0.174664 0.0300106i
\(481\) −555.991 1048.71i −1.15591 2.18027i
\(482\) 179.973 + 152.870i 0.373387 + 0.317158i
\(483\) −446.206 + 263.839i −0.923823 + 0.546250i
\(484\) 71.9457 + 180.570i 0.148648 + 0.373079i
\(485\) −48.5363 25.7323i −0.100075 0.0530563i
\(486\) 287.461 + 188.319i 0.591484 + 0.387487i
\(487\) 323.736 246.098i 0.664756 0.505334i −0.217527 0.976054i \(-0.569799\pi\)
0.882283 + 0.470720i \(0.156006\pi\)
\(488\) −233.416 + 64.8077i −0.478312 + 0.132803i
\(489\) −495.280 + 192.954i −1.01284 + 0.394589i
\(490\) −22.0648 134.589i −0.0450302 0.274672i
\(491\) −50.6865 230.271i −0.103231 0.468984i −0.999667 0.0258103i \(-0.991783\pi\)
0.896436 0.443174i \(-0.146148\pi\)
\(492\) −230.143 52.5100i −0.467770 0.106728i
\(493\) −609.584 66.2962i −1.23648 0.134475i
\(494\) −63.6844 43.1791i −0.128916 0.0874071i
\(495\) −218.465 27.1524i −0.441344 0.0548533i
\(496\) 4.49465 + 82.8989i 0.00906179 + 0.167135i
\(497\) 299.109 315.766i 0.601829 0.635343i
\(498\) −0.378277 + 49.3757i −0.000759592 + 0.0991479i
\(499\) −24.0996 + 444.491i −0.0482958 + 0.890764i 0.869554 + 0.493837i \(0.164406\pi\)
−0.917850 + 0.396927i \(0.870077\pi\)
\(500\) −53.6057 + 243.533i −0.107211 + 0.487066i
\(501\) 233.758 + 110.330i 0.466584 + 0.220220i
\(502\) −462.690 + 155.898i −0.921693 + 0.310555i
\(503\) 49.2816 223.888i 0.0979753 0.445106i −0.901937 0.431868i \(-0.857855\pi\)
0.999912 0.0132388i \(-0.00421417\pi\)
\(504\) 2.12770 138.854i 0.00422163 0.275504i
\(505\) 66.7275 63.2076i 0.132134 0.125164i
\(506\) −150.319 + 158.690i −0.297074 + 0.313617i
\(507\) −832.263 717.979i −1.64154 1.41613i
\(508\) −48.8986 + 298.269i −0.0962572 + 0.587143i
\(509\) −388.507 263.415i −0.763276 0.517514i 0.116334 0.993210i \(-0.462886\pi\)
−0.879610 + 0.475696i \(0.842196\pi\)
\(510\) −198.686 237.577i −0.389581 0.465837i
\(511\) 1.32897 0.799614i 0.00260072 0.00156480i
\(512\) −4.86423 22.0984i −0.00950044 0.0431609i
\(513\) −33.9722 + 53.6322i −0.0662225 + 0.104546i
\(514\) −402.288 186.118i −0.782662 0.362098i
\(515\) −295.508 + 82.0473i −0.573801 + 0.159315i
\(516\) 45.5100 390.594i 0.0881977 0.756965i
\(517\) 298.912 32.5086i 0.578166 0.0628793i
\(518\) 349.670 + 185.383i 0.675039 + 0.357883i
\(519\) −156.766 + 384.852i −0.302054 + 0.741525i
\(520\) 87.7639 316.097i 0.168777 0.607879i
\(521\) 304.143 + 258.341i 0.583768 + 0.495857i 0.889914 0.456128i \(-0.150764\pi\)
−0.306147 + 0.951984i \(0.599040\pi\)
\(522\) −463.381 + 269.225i −0.887703 + 0.515756i
\(523\) 129.650 + 191.220i 0.247897 + 0.365621i 0.931197 0.364517i \(-0.118766\pi\)
−0.683300 + 0.730138i \(0.739456\pi\)
\(524\) 171.762 + 371.257i 0.327790 + 0.708506i
\(525\) 2.06819 + 0.128032i 0.00393942 + 0.000243871i
\(526\) −95.2984 + 239.181i −0.181176 + 0.454717i
\(527\) −182.918 + 240.624i −0.347092 + 0.456592i
\(528\) −15.2331 56.5415i −0.0288505 0.107086i
\(529\) 449.403 + 151.421i 0.849532 + 0.286241i
\(530\) 287.273i 0.542025i
\(531\) 446.585 + 287.268i 0.841026 + 0.540994i
\(532\) 25.6548 0.0482233
\(533\) 290.671 862.680i 0.545349 1.61854i
\(534\) 155.590 41.9183i 0.291368 0.0784987i
\(535\) −470.505 357.669i −0.879449 0.668540i
\(536\) 179.188 + 71.3952i 0.334307 + 0.133200i
\(537\) −29.6485 + 478.933i −0.0552114 + 0.891868i
\(538\) 154.306 71.3897i 0.286815 0.132695i
\(539\) 77.7064 52.6862i 0.144168 0.0977481i
\(540\) −262.947 64.2486i −0.486940 0.118979i
\(541\) 188.639 222.083i 0.348686 0.410505i −0.559661 0.828721i \(-0.689069\pi\)
0.908347 + 0.418217i \(0.137345\pi\)
\(542\) −266.594 74.0193i −0.491870 0.136567i
\(543\) 946.503 + 385.550i 1.74310 + 0.710036i
\(544\) 38.5877 72.7841i 0.0709332 0.133794i
\(545\) 46.5770 + 428.268i 0.0854624 + 0.785814i
\(546\) 531.942 + 61.9791i 0.974252 + 0.113515i
\(547\) 46.6604 + 168.056i 0.0853024 + 0.307231i 0.993877 0.110491i \(-0.0352423\pi\)
−0.908575 + 0.417722i \(0.862828\pi\)
\(548\) 44.6074 96.4173i 0.0814004 0.175944i
\(549\) −755.251 + 154.151i −1.37569 + 0.280784i
\(550\) 0.853338 0.187834i 0.00155152 0.000341516i
\(551\) −51.0421 84.8327i −0.0926354 0.153961i
\(552\) −206.166 + 172.418i −0.373489 + 0.312351i
\(553\) −372.967 + 550.086i −0.674443 + 0.994730i
\(554\) 321.749 + 52.7481i 0.580775 + 0.0952132i
\(555\) 503.904 584.112i 0.907934 1.05245i
\(556\) −50.7692 48.0911i −0.0913115 0.0864948i
\(557\) −431.705 455.745i −0.775053 0.818214i 0.212224 0.977221i \(-0.431929\pi\)
−0.987277 + 0.159007i \(0.949171\pi\)
\(558\) −4.04748 + 264.139i −0.00725355 + 0.473368i
\(559\) 1481.02 + 325.998i 2.64942 + 0.583181i
\(560\) 34.9261 + 103.657i 0.0623680 + 0.185102i
\(561\) 90.9969 192.797i 0.162205 0.343666i
\(562\) 442.893 + 97.4881i 0.788066 + 0.173466i
\(563\) 458.416 + 24.8546i 0.814239 + 0.0441467i 0.456554 0.889696i \(-0.349084\pi\)
0.357685 + 0.933842i \(0.383566\pi\)
\(564\) 369.686 + 2.83224i 0.655472 + 0.00502170i
\(565\) −414.604 392.734i −0.733813 0.695104i
\(566\) 675.023 36.5987i 1.19262 0.0646620i
\(567\) 37.4310 440.295i 0.0660158 0.776534i
\(568\) 126.550 186.647i 0.222799 0.328604i
\(569\) 68.2429 627.484i 0.119935 1.10278i −0.767243 0.641356i \(-0.778372\pi\)
0.887178 0.461427i \(-0.152662\pi\)
\(570\) 11.1236 48.7529i 0.0195151 0.0855314i
\(571\) 196.881 43.3367i 0.344800 0.0758962i −0.0391945 0.999232i \(-0.512479\pi\)
0.383994 + 0.923335i \(0.374548\pi\)
\(572\) 222.847 36.5339i 0.389592 0.0638704i
\(573\) −115.689 296.954i −0.201901 0.518245i
\(574\) 81.2032 + 292.468i 0.141469 + 0.509525i
\(575\) −2.42694 3.19258i −0.00422076 0.00555232i
\(576\) −10.5583 71.2216i −0.0183304 0.123649i
\(577\) −260.825 + 491.968i −0.452037 + 0.852632i 0.547835 + 0.836587i \(0.315452\pi\)
−0.999871 + 0.0160450i \(0.994893\pi\)
\(578\) −101.056 + 40.2646i −0.174838 + 0.0696619i
\(579\) 162.313 + 274.506i 0.280334 + 0.474103i
\(580\) 273.274 321.723i 0.471162 0.554695i
\(581\) 56.0950 29.7397i 0.0965490 0.0511870i
\(582\) 7.87365 45.8253i 0.0135286 0.0787377i
\(583\) 179.472 83.0328i 0.307843 0.142423i
\(584\) 0.612881 0.520586i 0.00104945 0.000891415i
\(585\) 348.424 983.997i 0.595597 1.68205i
\(586\) 249.893 + 189.964i 0.426439 + 0.324170i
\(587\) −4.89079 + 8.12856i −0.00833185 + 0.0138476i −0.860995 0.508613i \(-0.830158\pi\)
0.852663 + 0.522461i \(0.174986\pi\)
\(588\) 102.400 53.2880i 0.174149 0.0906259i
\(589\) −48.8026 −0.0828567
\(590\) −407.109 95.8823i −0.690016 0.162512i
\(591\) 385.953 + 371.245i 0.653051 + 0.628165i
\(592\) 194.455 + 65.5194i 0.328471 + 0.110675i
\(593\) −406.391 + 675.427i −0.685314 + 1.13900i 0.297557 + 0.954704i \(0.403828\pi\)
−0.982871 + 0.184296i \(0.940999\pi\)
\(594\) −35.8627 182.845i −0.0603749 0.307820i
\(595\) −147.401 + 369.950i −0.247734 + 0.621764i
\(596\) −262.361 + 222.851i −0.440203 + 0.373912i
\(597\) −222.374 + 643.645i −0.372486 + 1.07813i
\(598\) −581.643 857.859i −0.972646 1.43455i
\(599\) 886.470 469.977i 1.47992 0.784602i 0.484016 0.875059i \(-0.339178\pi\)
0.995900 + 0.0904570i \(0.0288328\pi\)
\(600\) 1.06891 0.107972i 0.00178151 0.000179953i
\(601\) −76.0496 + 273.906i −0.126538 + 0.455750i −0.999486 0.0320641i \(-0.989792\pi\)
0.872947 + 0.487814i \(0.162206\pi\)
\(602\) −469.726 + 187.156i −0.780275 + 0.310890i
\(603\) 553.025 + 266.218i 0.917122 + 0.441489i
\(604\) −386.479 + 42.0321i −0.639866 + 0.0695896i
\(605\) −294.821 387.830i −0.487307 0.641042i
\(606\) 68.4498 + 36.9643i 0.112953 + 0.0609972i
\(607\) 921.201 + 426.193i 1.51763 + 0.702130i 0.989163 0.146824i \(-0.0469050\pi\)
0.528467 + 0.848954i \(0.322767\pi\)
\(608\) 13.1260 2.15190i 0.0215888 0.00353931i
\(609\) 587.720 + 359.780i 0.965057 + 0.590772i
\(610\) 520.238 313.017i 0.852849 0.513142i
\(611\) −154.145 + 1417.34i −0.252284 + 2.31971i
\(612\) 138.569 222.513i 0.226420 0.363584i
\(613\) 58.2255 355.160i 0.0949845 0.579380i −0.895856 0.444344i \(-0.853437\pi\)
0.990841 0.135036i \(-0.0431149\pi\)
\(614\) −61.5264 + 3.33587i −0.100206 + 0.00543301i
\(615\) 590.997 27.5037i 0.960970 0.0447215i
\(616\) −54.6641 + 51.7806i −0.0887405 + 0.0840595i
\(617\) −65.3153 3.54129i −0.105859 0.00573953i 0.00113307 0.999999i \(-0.499639\pi\)
−0.106993 + 0.994260i \(0.534122\pi\)
\(618\) −144.020 215.958i −0.233042 0.349446i
\(619\) 20.7857 7.00353i 0.0335795 0.0113143i −0.302462 0.953162i \(-0.597808\pi\)
0.336041 + 0.941847i \(0.390912\pi\)
\(620\) −66.4392 197.184i −0.107160 0.318039i
\(621\) −692.526 + 501.757i −1.11518 + 0.807983i
\(622\) 32.5941 601.162i 0.0524020 0.966498i
\(623\) −142.490 150.424i −0.228715 0.241452i
\(624\) 277.361 12.9078i 0.444489 0.0206856i
\(625\) −34.0073 627.228i −0.0544117 1.00356i
\(626\) 407.903 + 66.8723i 0.651602 + 0.106825i
\(627\) 33.6732 7.14202i 0.0537053 0.0113908i
\(628\) −300.208 32.6495i −0.478037 0.0519897i
\(629\) 385.152 + 640.127i 0.612324 + 1.01769i
\(630\) 87.9650 + 336.755i 0.139627 + 0.534531i
\(631\) 149.312 + 910.763i 0.236628 + 1.44336i 0.791367 + 0.611341i \(0.209370\pi\)
−0.554740 + 0.832024i \(0.687182\pi\)
\(632\) −144.684 + 312.729i −0.228930 + 0.494825i
\(633\) 70.7713 + 38.2180i 0.111803 + 0.0603760i
\(634\) −270.484 + 205.617i −0.426631 + 0.324316i
\(635\) −81.9041 753.096i −0.128983 1.18598i
\(636\) 231.005 75.8690i 0.363215 0.119291i
\(637\) 164.773 + 413.549i 0.258670 + 0.649213i
\(638\) 279.981 + 77.7364i 0.438842 + 0.121844i
\(639\) 442.943 564.516i 0.693182 0.883436i
\(640\) 26.5642 + 50.1054i 0.0415066 + 0.0782897i
\(641\) 53.7188 36.4222i 0.0838046 0.0568210i −0.518565 0.855038i \(-0.673534\pi\)
0.602370 + 0.798217i \(0.294223\pi\)
\(642\) 163.351 472.807i 0.254441 0.736460i
\(643\) −690.540 812.967i −1.07394 1.26433i −0.962709 0.270539i \(-0.912798\pi\)
−0.111226 0.993795i \(-0.535478\pi\)
\(644\) 321.038 + 127.913i 0.498506 + 0.198623i
\(645\) 151.993 + 973.787i 0.235648 + 1.50975i
\(646\) 41.4944 + 24.9663i 0.0642328 + 0.0386476i
\(647\) 163.259 484.536i 0.252332 0.748896i −0.744371 0.667766i \(-0.767251\pi\)
0.996704 0.0811297i \(-0.0258528\pi\)
\(648\) −17.7803 228.412i −0.0274387 0.352487i
\(649\) −57.7680 282.053i −0.0890107 0.434596i
\(650\) 4.14312i 0.00637403i
\(651\) 301.321 156.805i 0.462859 0.240868i
\(652\) 303.635 + 182.691i 0.465698 + 0.280201i
\(653\) 181.048 238.164i 0.277255 0.364723i −0.636297 0.771444i \(-0.719535\pi\)
0.913552 + 0.406721i \(0.133328\pi\)
\(654\) −332.082 + 150.560i −0.507771 + 0.230214i
\(655\) −663.732 781.406i −1.01333 1.19299i
\(656\) 66.0786 + 142.827i 0.100730 + 0.217724i
\(657\) 2.06048 1.51709i 0.00313620 0.00230912i
\(658\) −222.667 419.995i −0.338400 0.638290i
\(659\) 67.5599 + 57.3859i 0.102519 + 0.0870803i 0.697180 0.716896i \(-0.254438\pi\)
−0.594661 + 0.803976i \(0.702714\pi\)
\(660\) 74.6992 + 126.332i 0.113181 + 0.191412i
\(661\) −123.844 310.825i −0.187358 0.470234i 0.805052 0.593204i \(-0.202137\pi\)
−0.992410 + 0.122970i \(0.960758\pi\)
\(662\) 12.5354 + 6.64586i 0.0189357 + 0.0100391i
\(663\) 800.053 + 617.912i 1.20672 + 0.931994i
\(664\) 26.2059 19.9212i 0.0394667 0.0300018i
\(665\) −61.9555 + 17.2019i −0.0931662 + 0.0258675i
\(666\) 602.782 + 250.939i 0.905079 + 0.376786i
\(667\) −215.758 1316.07i −0.323476 1.97311i
\(668\) −37.0448 168.296i −0.0554562 0.251940i
\(669\) −158.865 + 696.278i −0.237466 + 1.04077i
\(670\) −480.606 52.2690i −0.717322 0.0780134i
\(671\) 345.924 + 234.542i 0.515535 + 0.349541i
\(672\) −74.1295 + 55.4609i −0.110312 + 0.0825311i
\(673\) −12.0858 222.909i −0.0179581 0.331217i −0.993683 0.112219i \(-0.964204\pi\)
0.975725 0.218998i \(-0.0702787\pi\)
\(674\) −520.263 + 549.235i −0.771903 + 0.814888i
\(675\) 3.41689 0.106581i 0.00506206 0.000157898i
\(676\) −39.6716 + 731.700i −0.0586858 + 1.08240i
\(677\) −71.8645 + 326.484i −0.106151 + 0.482251i 0.893310 + 0.449441i \(0.148377\pi\)
−0.999462 + 0.0328101i \(0.989554\pi\)
\(678\) 206.312 437.116i 0.304294 0.644714i
\(679\) −56.6577 + 19.0902i −0.0834428 + 0.0281152i
\(680\) −44.3854 + 201.645i −0.0652726 + 0.296536i
\(681\) −253.205 + 236.195i −0.371814 + 0.346835i
\(682\) 103.986 98.5012i 0.152473 0.144430i
\(683\) 101.160 106.794i 0.148112 0.156360i −0.647718 0.761880i \(-0.724276\pi\)
0.795830 + 0.605521i \(0.207035\pi\)
\(684\) 42.1413 3.93085i 0.0616101 0.00574686i
\(685\) −43.0764 + 262.755i −0.0628853 + 0.383583i
\(686\) −435.751 295.446i −0.635206 0.430680i
\(687\) 494.383 413.455i 0.719626 0.601827i
\(688\) −224.632 + 135.156i −0.326499 + 0.196448i
\(689\) 201.570 + 915.742i 0.292555 + 1.32909i
\(690\) 382.276 554.620i 0.554024 0.803797i
\(691\) −517.444 239.395i −0.748833 0.346447i 0.00807589 0.999967i \(-0.497429\pi\)
−0.756909 + 0.653520i \(0.773291\pi\)
\(692\) 266.939 74.1152i 0.385750 0.107103i
\(693\) −184.960 + 152.290i −0.266898 + 0.219755i
\(694\) 888.983 96.6827i 1.28096 0.139312i
\(695\) 154.852 + 82.0971i 0.222808 + 0.118125i
\(696\) 330.878 + 134.780i 0.475400 + 0.193650i
\(697\) −153.280 + 552.064i −0.219914 + 0.792058i
\(698\) −148.168 125.855i −0.212276 0.180309i
\(699\) 165.306 578.158i 0.236489 0.827122i
\(700\) −0.775244 1.14340i −0.00110749 0.00163343i
\(701\) 157.833 + 341.151i 0.225154 + 0.486663i 0.986924 0.161185i \(-0.0515315\pi\)
−0.761770 + 0.647847i \(0.775669\pi\)
\(702\) 883.279 + 20.3041i 1.25823 + 0.0289232i
\(703\) −44.6467 + 112.055i −0.0635089 + 0.159395i
\(704\) −23.6250 + 31.0782i −0.0335583 + 0.0441451i
\(705\) −894.679 + 241.039i −1.26905 + 0.341900i
\(706\) 427.499 + 144.041i 0.605523 + 0.204024i
\(707\) 100.029i 0.141484i
\(708\) −30.4160 352.691i −0.0429604 0.498151i
\(709\) −1087.74 −1.53419 −0.767097 0.641531i \(-0.778299\pi\)
−0.767097 + 0.641531i \(0.778299\pi\)
\(710\) −180.465 + 535.600i −0.254176 + 0.754366i
\(711\) −528.362 + 960.732i −0.743125 + 1.35124i
\(712\) −85.5207 65.0112i −0.120113 0.0913078i
\(713\) −610.704 243.327i −0.856527 0.341272i
\(714\) −336.416 20.8259i −0.471171 0.0291680i
\(715\) −513.671 + 237.650i −0.718421 + 0.332377i
\(716\) 264.778 179.524i 0.369801 0.250732i
\(717\) 80.8975 282.940i 0.112828 0.394616i
\(718\) 31.9423 37.6054i 0.0444878 0.0523751i
\(719\) 341.274 + 94.7543i 0.474651 + 0.131786i 0.496612 0.867973i \(-0.334577\pi\)
−0.0219610 + 0.999759i \(0.506991\pi\)
\(720\) 73.2530 + 164.918i 0.101740 + 0.229053i
\(721\) −156.342 + 294.891i −0.216840 + 0.409003i
\(722\) −54.3527 499.765i −0.0752808 0.692196i
\(723\) 57.9720 497.550i 0.0801826 0.688175i
\(724\) −182.279 656.509i −0.251766 0.906781i
\(725\) −2.23847 + 4.83837i −0.00308754 + 0.00667361i
\(726\) 234.003 339.500i 0.322318 0.467631i
\(727\) 136.022 29.9407i 0.187100 0.0411839i −0.120432 0.992722i \(-0.538428\pi\)
0.307532 + 0.951538i \(0.400497\pi\)
\(728\) −184.067 305.921i −0.252839 0.420221i
\(729\) −5.97710 728.975i −0.00819904 0.999966i
\(730\) −1.13103 + 1.66814i −0.00154935 + 0.00228513i
\(731\) −941.873 154.412i −1.28847 0.211234i
\(732\) 389.101 + 335.671i 0.531559 + 0.458566i
\(733\) 501.785 + 475.316i 0.684564 + 0.648453i 0.948753 0.316017i \(-0.102346\pi\)
−0.264189 + 0.964471i \(0.585104\pi\)
\(734\) −336.904 355.666i −0.458998 0.484558i
\(735\) −211.562 + 197.349i −0.287839 + 0.268502i
\(736\) 174.985 + 38.5171i 0.237751 + 0.0523330i
\(737\) −106.258 315.363i −0.144177 0.427901i
\(738\) 178.199 + 467.974i 0.241462 + 0.634110i
\(739\) 89.9607 + 19.8018i 0.121733 + 0.0267955i 0.275419 0.961324i \(-0.411183\pi\)
−0.153686 + 0.988120i \(0.549114\pi\)
\(740\) −513.533 27.8430i −0.693964 0.0376256i
\(741\) −1.25042 + 163.215i −0.00168748 + 0.220263i
\(742\) −226.978 215.005i −0.305901 0.289765i
\(743\) −532.914 + 28.8938i −0.717247 + 0.0388880i −0.409150 0.912467i \(-0.634175\pi\)
−0.308097 + 0.951355i \(0.599692\pi\)
\(744\) 141.015 105.502i 0.189536 0.141804i
\(745\) 484.169 714.095i 0.649891 0.958517i
\(746\) −88.0961 + 810.030i −0.118091 + 1.08583i
\(747\) 87.5865 57.4462i 0.117251 0.0769025i
\(748\) −138.805 + 30.5534i −0.185569 + 0.0408468i
\(749\) −634.741 + 104.060i −0.847451 + 0.138933i
\(750\) 492.894 192.025i 0.657193 0.256033i
\(751\) 385.645 + 1388.97i 0.513508 + 1.84949i 0.527450 +