Properties

Label 162.3.h.a.5.9
Level $162$
Weight $3$
Character 162.5
Analytic conductor $4.414$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 162 = 2 \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 162.h (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.41418028264\)
Analytic rank: \(0\)
Dimension: \(324\)
Relative dimension: \(18\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 5.9
Character \(\chi\) \(=\) 162.5
Dual form 162.3.h.a.65.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.326140 - 1.37609i) q^{2} +(2.89210 + 0.797352i) q^{3} +(-1.78727 + 0.897598i) q^{4} +(-7.40578 + 5.51340i) q^{5} +(0.154002 - 4.23984i) q^{6} +(-1.07376 + 0.706223i) q^{7} +(1.81808 + 2.16670i) q^{8} +(7.72846 + 4.61204i) q^{9} +O(q^{10})\) \(q+(-0.326140 - 1.37609i) q^{2} +(2.89210 + 0.797352i) q^{3} +(-1.78727 + 0.897598i) q^{4} +(-7.40578 + 5.51340i) q^{5} +(0.154002 - 4.23984i) q^{6} +(-1.07376 + 0.706223i) q^{7} +(1.81808 + 2.16670i) q^{8} +(7.72846 + 4.61204i) q^{9} +(10.0023 + 8.39290i) q^{10} +(-1.07678 + 9.21247i) q^{11} +(-5.88465 + 1.17086i) q^{12} +(4.35535 + 14.5479i) q^{13} +(1.32203 + 1.24727i) q^{14} +(-25.8144 + 10.0403i) q^{15} +(2.38863 - 3.20849i) q^{16} +(0.471048 + 0.0830584i) q^{17} +(3.82604 - 12.1393i) q^{18} +(-3.61111 - 20.4796i) q^{19} +(8.28728 - 16.5013i) q^{20} +(-3.66853 + 1.18630i) q^{21} +(13.0284 - 1.52280i) q^{22} +(-15.9635 + 24.2713i) q^{23} +(3.53043 + 7.71596i) q^{24} +(17.2779 - 57.7123i) q^{25} +(18.5988 - 10.7380i) q^{26} +(18.6740 + 19.5008i) q^{27} +(1.28519 - 2.22601i) q^{28} +(-7.55899 + 7.13154i) q^{29} +(22.2354 + 32.2484i) q^{30} +(-0.914886 + 15.7080i) q^{31} +(-5.19421 - 2.24057i) q^{32} +(-10.4597 + 25.7848i) q^{33} +(-0.0393314 - 0.675294i) q^{34} +(4.05834 - 11.1502i) q^{35} +(-17.9526 - 1.30589i) q^{36} +(61.2478 - 22.2924i) q^{37} +(-27.0042 + 11.6485i) q^{38} +(0.996308 + 45.5466i) q^{39} +(-25.4102 - 6.02232i) q^{40} +(8.54541 - 36.0559i) q^{41} +(2.82891 + 4.66134i) q^{42} +(-12.7320 - 29.5161i) q^{43} +(-6.34460 - 17.4316i) q^{44} +(-82.6633 + 8.45430i) q^{45} +(38.6059 + 14.0514i) q^{46} +(10.0825 - 0.587238i) q^{47} +(9.46646 - 7.37469i) q^{48} +(-18.7537 + 43.4760i) q^{49} +(-85.0525 - 4.95375i) q^{50} +(1.29609 + 0.615804i) q^{51} +(-20.8423 - 22.0915i) q^{52} +(14.3946 + 8.31072i) q^{53} +(20.7445 - 32.0572i) q^{54} +(-42.8176 - 74.1622i) q^{55} +(-3.48235 - 1.04255i) q^{56} +(5.88580 - 62.1084i) q^{57} +(12.2790 + 8.07600i) q^{58} +(-8.16985 - 69.8975i) q^{59} +(37.1250 - 41.1156i) q^{60} +(67.7959 + 34.0484i) q^{61} +(21.9140 - 3.86403i) q^{62} +(-11.5556 + 0.505789i) q^{63} +(-1.38919 + 7.87846i) q^{64} +(-112.463 - 83.7255i) q^{65} +(38.8936 + 5.98413i) q^{66} +(27.1526 - 28.7800i) q^{67} +(-0.916440 + 0.274364i) q^{68} +(-65.5207 + 57.4665i) q^{69} +(-16.6673 - 1.94813i) q^{70} +(-57.4122 + 68.4212i) q^{71} +(4.05802 + 25.1303i) q^{72} +(-97.8021 + 82.0657i) q^{73} +(-50.6518 - 77.0123i) q^{74} +(95.9865 - 153.133i) q^{75} +(24.8365 + 33.3612i) q^{76} +(-5.34985 - 10.6524i) q^{77} +(62.3514 - 16.2256i) q^{78} +(115.638 - 27.4066i) q^{79} +36.9309i q^{80} +(38.4581 + 71.2880i) q^{81} -52.4033 q^{82} +(9.97925 + 42.1058i) q^{83} +(5.49181 - 5.41310i) q^{84} +(-3.94641 + 1.98196i) q^{85} +(-36.4644 + 27.1468i) q^{86} +(-27.5477 + 14.5979i) q^{87} +(-21.9183 + 14.4159i) q^{88} +(52.4426 + 62.4987i) q^{89} +(38.5937 + 110.995i) q^{90} +(-14.9506 - 12.5451i) q^{91} +(6.74510 - 57.7081i) q^{92} +(-15.1707 + 44.6995i) q^{93} +(-4.09640 - 13.6829i) q^{94} +(139.655 + 131.758i) q^{95} +(-13.2357 - 10.6216i) q^{96} +(-83.7265 + 112.464i) q^{97} +(65.9433 + 11.6276i) q^{98} +(-50.8102 + 66.2320i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324 q+O(q^{10}) \) Copy content Toggle raw display \( 324 q + 72 q^{18} + 108 q^{20} + 270 q^{21} + 162 q^{23} - 54 q^{27} - 162 q^{29} - 216 q^{30} - 378 q^{33} - 486 q^{35} - 180 q^{36} - 108 q^{38} + 216 q^{41} + 432 q^{45} + 324 q^{47} + 126 q^{51} - 216 q^{57} - 378 q^{59} - 540 q^{63} - 1728 q^{65} - 1008 q^{66} + 702 q^{67} - 216 q^{68} - 1872 q^{69} + 540 q^{70} - 1296 q^{71} - 576 q^{72} - 864 q^{74} - 900 q^{75} + 108 q^{76} - 864 q^{77} - 288 q^{78} + 108 q^{79} + 144 q^{81} + 432 q^{83} + 144 q^{84} - 540 q^{85} + 864 q^{86} + 2016 q^{87} - 216 q^{88} + 1782 q^{89} + 1440 q^{90} + 864 q^{92} + 2124 q^{93} - 756 q^{94} + 2808 q^{95} + 288 q^{96} - 918 q^{97} + 1296 q^{98} + 1800 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).

\(n\) \(83\)
\(\chi(n)\) \(e\left(\frac{23}{54}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.326140 1.37609i −0.163070 0.688047i
\(3\) 2.89210 + 0.797352i 0.964033 + 0.265784i
\(4\) −1.78727 + 0.897598i −0.446816 + 0.224400i
\(5\) −7.40578 + 5.51340i −1.48116 + 1.10268i −0.511181 + 0.859473i \(0.670792\pi\)
−0.969974 + 0.243207i \(0.921801\pi\)
\(6\) 0.154002 4.23984i 0.0256670 0.706641i
\(7\) −1.07376 + 0.706223i −0.153394 + 0.100889i −0.623886 0.781515i \(-0.714447\pi\)
0.470492 + 0.882404i \(0.344077\pi\)
\(8\) 1.81808 + 2.16670i 0.227260 + 0.270838i
\(9\) 7.72846 + 4.61204i 0.858718 + 0.512449i
\(10\) 10.0023 + 8.39290i 1.00023 + 0.839290i
\(11\) −1.07678 + 9.21247i −0.0978894 + 0.837497i 0.851706 + 0.524020i \(0.175568\pi\)
−0.949596 + 0.313478i \(0.898506\pi\)
\(12\) −5.88465 + 1.17086i −0.490387 + 0.0975718i
\(13\) 4.35535 + 14.5479i 0.335027 + 1.11907i 0.945116 + 0.326734i \(0.105948\pi\)
−0.610090 + 0.792332i \(0.708867\pi\)
\(14\) 1.32203 + 1.24727i 0.0944304 + 0.0890904i
\(15\) −25.8144 + 10.0403i −1.72096 + 0.669351i
\(16\) 2.38863 3.20849i 0.149290 0.200531i
\(17\) 0.471048 + 0.0830584i 0.0277087 + 0.00488579i 0.187485 0.982267i \(-0.439966\pi\)
−0.159777 + 0.987153i \(0.551077\pi\)
\(18\) 3.82604 12.1393i 0.212558 0.674403i
\(19\) −3.61111 20.4796i −0.190059 1.07788i −0.919282 0.393600i \(-0.871230\pi\)
0.729223 0.684276i \(-0.239882\pi\)
\(20\) 8.28728 16.5013i 0.414364 0.825066i
\(21\) −3.66853 + 1.18630i −0.174692 + 0.0564905i
\(22\) 13.0284 1.52280i 0.592200 0.0692182i
\(23\) −15.9635 + 24.2713i −0.694065 + 1.05527i 0.300763 + 0.953699i \(0.402759\pi\)
−0.994828 + 0.101575i \(0.967612\pi\)
\(24\) 3.53043 + 7.71596i 0.147101 + 0.321498i
\(25\) 17.2779 57.7123i 0.691117 2.30849i
\(26\) 18.5988 10.7380i 0.715337 0.413000i
\(27\) 18.6740 + 19.5008i 0.691631 + 0.722251i
\(28\) 1.28519 2.22601i 0.0458996 0.0795005i
\(29\) −7.55899 + 7.13154i −0.260655 + 0.245915i −0.805464 0.592645i \(-0.798084\pi\)
0.544809 + 0.838560i \(0.316602\pi\)
\(30\) 22.2354 + 32.2484i 0.741182 + 1.07495i
\(31\) −0.914886 + 15.7080i −0.0295124 + 0.506709i 0.950868 + 0.309596i \(0.100194\pi\)
−0.980381 + 0.197113i \(0.936843\pi\)
\(32\) −5.19421 2.24057i −0.162319 0.0700177i
\(33\) −10.4597 + 25.7848i −0.316962 + 0.781357i
\(34\) −0.0393314 0.675294i −0.00115681 0.0198616i
\(35\) 4.05834 11.1502i 0.115953 0.318577i
\(36\) −17.9526 1.30589i −0.498682 0.0362748i
\(37\) 61.2478 22.2924i 1.65535 0.602497i 0.665725 0.746197i \(-0.268122\pi\)
0.989621 + 0.143700i \(0.0459001\pi\)
\(38\) −27.0042 + 11.6485i −0.710636 + 0.306538i
\(39\) 0.996308 + 45.5466i 0.0255464 + 1.16786i
\(40\) −25.4102 6.02232i −0.635254 0.150558i
\(41\) 8.54541 36.0559i 0.208425 0.879413i −0.763817 0.645433i \(-0.776677\pi\)
0.972241 0.233980i \(-0.0751750\pi\)
\(42\) 2.82891 + 4.66134i 0.0673551 + 0.110984i
\(43\) −12.7320 29.5161i −0.296093 0.686420i 0.703615 0.710581i \(-0.251568\pi\)
−0.999708 + 0.0241609i \(0.992309\pi\)
\(44\) −6.34460 17.4316i −0.144195 0.396174i
\(45\) −82.6633 + 8.45430i −1.83696 + 0.187873i
\(46\) 38.6059 + 14.0514i 0.839259 + 0.305465i
\(47\) 10.0825 0.587238i 0.214521 0.0124944i 0.0494523 0.998776i \(-0.484252\pi\)
0.165069 + 0.986282i \(0.447215\pi\)
\(48\) 9.46646 7.37469i 0.197218 0.153639i
\(49\) −18.7537 + 43.4760i −0.382729 + 0.887265i
\(50\) −85.0525 4.95375i −1.70105 0.0990749i
\(51\) 1.29609 + 0.615804i 0.0254135 + 0.0120746i
\(52\) −20.8423 22.0915i −0.400813 0.424837i
\(53\) 14.3946 + 8.31072i 0.271596 + 0.156806i 0.629613 0.776909i \(-0.283214\pi\)
−0.358017 + 0.933715i \(0.616547\pi\)
\(54\) 20.7445 32.0572i 0.384158 0.593652i
\(55\) −42.8176 74.1622i −0.778502 1.34840i
\(56\) −3.48235 1.04255i −0.0621849 0.0186169i
\(57\) 5.88580 62.1084i 0.103260 1.08962i
\(58\) 12.2790 + 8.07600i 0.211706 + 0.139241i
\(59\) −8.16985 69.8975i −0.138472 1.18470i −0.866507 0.499164i \(-0.833640\pi\)
0.728036 0.685539i \(-0.240434\pi\)
\(60\) 37.1250 41.1156i 0.618750 0.685259i
\(61\) 67.7959 + 34.0484i 1.11141 + 0.558170i 0.907176 0.420752i \(-0.138234\pi\)
0.204233 + 0.978922i \(0.434530\pi\)
\(62\) 21.9140 3.86403i 0.353452 0.0623231i
\(63\) −11.5556 + 0.505789i −0.183423 + 0.00802840i
\(64\) −1.38919 + 7.87846i −0.0217060 + 0.123101i
\(65\) −112.463 83.7255i −1.73020 1.28809i
\(66\) 38.8936 + 5.98413i 0.589297 + 0.0906687i
\(67\) 27.1526 28.7800i 0.405262 0.429553i −0.492310 0.870420i \(-0.663847\pi\)
0.897572 + 0.440867i \(0.145329\pi\)
\(68\) −0.916440 + 0.274364i −0.0134771 + 0.00403477i
\(69\) −65.5207 + 57.4665i −0.949576 + 0.832847i
\(70\) −16.6673 1.94813i −0.238104 0.0278304i
\(71\) −57.4122 + 68.4212i −0.808623 + 0.963679i −0.999840 0.0178683i \(-0.994312\pi\)
0.191217 + 0.981548i \(0.438756\pi\)
\(72\) 4.05802 + 25.1303i 0.0563614 + 0.349032i
\(73\) −97.8021 + 82.0657i −1.33975 + 1.12419i −0.358066 + 0.933696i \(0.616564\pi\)
−0.981689 + 0.190491i \(0.938992\pi\)
\(74\) −50.6518 77.0123i −0.684483 1.04071i
\(75\) 95.9865 153.133i 1.27982 2.04177i
\(76\) 24.8365 + 33.3612i 0.326796 + 0.438963i
\(77\) −5.34985 10.6524i −0.0694786 0.138343i
\(78\) 62.3514 16.2256i 0.799377 0.208020i
\(79\) 115.638 27.4066i 1.46377 0.346919i 0.579912 0.814679i \(-0.303087\pi\)
0.883856 + 0.467760i \(0.154939\pi\)
\(80\) 36.9309i 0.461636i
\(81\) 38.4581 + 71.2880i 0.474792 + 0.880098i
\(82\) −52.4033 −0.639065
\(83\) 9.97925 + 42.1058i 0.120232 + 0.507298i 0.999519 + 0.0310065i \(0.00987125\pi\)
−0.879287 + 0.476292i \(0.841981\pi\)
\(84\) 5.49181 5.41310i 0.0653787 0.0644417i
\(85\) −3.94641 + 1.98196i −0.0464283 + 0.0233172i
\(86\) −36.4644 + 27.1468i −0.424005 + 0.315660i
\(87\) −27.5477 + 14.5979i −0.316640 + 0.167792i
\(88\) −21.9183 + 14.4159i −0.249072 + 0.163817i
\(89\) 52.4426 + 62.4987i 0.589243 + 0.702233i 0.975460 0.220175i \(-0.0706629\pi\)
−0.386217 + 0.922408i \(0.626219\pi\)
\(90\) 38.5937 + 110.995i 0.428819 + 1.23328i
\(91\) −14.9506 12.5451i −0.164293 0.137858i
\(92\) 6.74510 57.7081i 0.0733164 0.627261i
\(93\) −15.1707 + 44.6995i −0.163126 + 0.480640i
\(94\) −4.09640 13.6829i −0.0435787 0.145563i
\(95\) 139.655 + 131.758i 1.47006 + 1.38693i
\(96\) −13.2357 10.6216i −0.137871 0.110641i
\(97\) −83.7265 + 112.464i −0.863160 + 1.15942i 0.122799 + 0.992432i \(0.460813\pi\)
−0.985958 + 0.166993i \(0.946594\pi\)
\(98\) 65.9433 + 11.6276i 0.672891 + 0.118649i
\(99\) −50.8102 + 66.2320i −0.513234 + 0.669010i
\(100\) 20.9222 + 118.656i 0.209222 + 1.18656i
\(101\) 70.2092 139.798i 0.695141 1.38414i −0.217778 0.975998i \(-0.569881\pi\)
0.912919 0.408141i \(-0.133823\pi\)
\(102\) 0.424697 1.98438i 0.00416370 0.0194547i
\(103\) 128.865 15.0622i 1.25112 0.146235i 0.535384 0.844609i \(-0.320167\pi\)
0.715733 + 0.698374i \(0.246093\pi\)
\(104\) −23.6025 + 35.8859i −0.226947 + 0.345057i
\(105\) 20.6278 29.0115i 0.196455 0.276300i
\(106\) 6.74167 22.5188i 0.0636007 0.212441i
\(107\) 153.633 88.7002i 1.43583 0.828974i 0.438269 0.898844i \(-0.355592\pi\)
0.997556 + 0.0698694i \(0.0222583\pi\)
\(108\) −50.8793 18.0913i −0.471105 0.167512i
\(109\) −16.4515 + 28.4948i −0.150931 + 0.261420i −0.931570 0.363562i \(-0.881560\pi\)
0.780639 + 0.624982i \(0.214894\pi\)
\(110\) −88.0896 + 83.1083i −0.800815 + 0.755530i
\(111\) 194.910 15.6357i 1.75594 0.140862i
\(112\) −0.298908 + 5.13206i −0.00266883 + 0.0458220i
\(113\) 25.9180 + 11.1799i 0.229362 + 0.0989373i 0.507660 0.861558i \(-0.330511\pi\)
−0.278297 + 0.960495i \(0.589770\pi\)
\(114\) −87.3866 + 12.1566i −0.766549 + 0.106637i
\(115\) −15.5953 267.761i −0.135611 2.32836i
\(116\) 7.10867 19.5309i 0.0612816 0.168370i
\(117\) −33.4353 + 132.520i −0.285772 + 1.13265i
\(118\) −93.5210 + 34.0389i −0.792551 + 0.288465i
\(119\) −0.564450 + 0.243480i −0.00474328 + 0.00204605i
\(120\) −68.6868 37.6780i −0.572390 0.313983i
\(121\) 34.0283 + 8.06486i 0.281226 + 0.0666517i
\(122\) 24.7428 104.398i 0.202810 0.855722i
\(123\) 53.4635 97.4636i 0.434662 0.792387i
\(124\) −12.4643 28.8955i −0.100519 0.233028i
\(125\) 111.290 + 305.767i 0.890320 + 2.44613i
\(126\) 4.46477 + 15.7367i 0.0354347 + 0.124894i
\(127\) −227.754 82.8957i −1.79334 0.652722i −0.998974 0.0452829i \(-0.985581\pi\)
−0.794366 0.607440i \(-0.792197\pi\)
\(128\) 11.2946 0.657834i 0.0882388 0.00513933i
\(129\) −13.2874 95.5152i −0.103003 0.740428i
\(130\) −78.5355 + 182.066i −0.604119 + 1.40051i
\(131\) 136.773 + 7.96613i 1.04407 + 0.0608101i 0.571597 0.820535i \(-0.306324\pi\)
0.472473 + 0.881345i \(0.343361\pi\)
\(132\) −4.45004 55.4729i −0.0337124 0.420249i
\(133\) 18.3407 + 19.4400i 0.137900 + 0.146165i
\(134\) −48.4595 27.9781i −0.361638 0.208792i
\(135\) −245.811 41.4611i −1.82082 0.307119i
\(136\) 0.676439 + 1.17163i 0.00497381 + 0.00861490i
\(137\) 69.5450 + 20.8204i 0.507628 + 0.151974i 0.530368 0.847768i \(-0.322054\pi\)
−0.0227399 + 0.999741i \(0.507239\pi\)
\(138\) 100.448 + 71.4205i 0.727885 + 0.517540i
\(139\) 66.1114 + 43.4822i 0.475622 + 0.312821i 0.764590 0.644517i \(-0.222942\pi\)
−0.288968 + 0.957339i \(0.593312\pi\)
\(140\) 2.75507 + 23.5711i 0.0196791 + 0.168365i
\(141\) 29.6278 + 6.34095i 0.210126 + 0.0449713i
\(142\) 112.878 + 56.6897i 0.794919 + 0.399223i
\(143\) −138.712 + 24.4586i −0.970011 + 0.171039i
\(144\) 33.2582 13.7802i 0.230959 0.0956960i
\(145\) 16.6612 94.4904i 0.114905 0.651658i
\(146\) 144.827 + 107.820i 0.991967 + 0.738492i
\(147\) −88.9032 + 110.783i −0.604784 + 0.753629i
\(148\) −89.4565 + 94.8183i −0.604436 + 0.640664i
\(149\) −269.084 + 80.5586i −1.80593 + 0.540661i −0.998766 0.0496594i \(-0.984186\pi\)
−0.807169 + 0.590321i \(0.799001\pi\)
\(150\) −242.030 82.1435i −1.61354 0.547624i
\(151\) −132.995 15.5449i −0.880764 0.102947i −0.336324 0.941746i \(-0.609184\pi\)
−0.544440 + 0.838800i \(0.683258\pi\)
\(152\) 37.8080 45.0578i 0.248737 0.296433i
\(153\) 3.25740 + 2.81440i 0.0212902 + 0.0183948i
\(154\) −12.9139 + 10.8361i −0.0838567 + 0.0703641i
\(155\) −79.8289 121.374i −0.515025 0.783058i
\(156\) −42.6632 80.5096i −0.273482 0.516087i
\(157\) 33.7863 + 45.3829i 0.215199 + 0.289063i 0.896594 0.442853i \(-0.146034\pi\)
−0.681395 + 0.731916i \(0.738626\pi\)
\(158\) −75.4282 150.190i −0.477393 0.950568i
\(159\) 35.0040 + 35.5130i 0.220151 + 0.223352i
\(160\) 50.8203 12.0446i 0.317627 0.0752790i
\(161\) 37.3353i 0.231897i
\(162\) 85.5561 76.1718i 0.528124 0.470197i
\(163\) 76.9281 0.471951 0.235976 0.971759i \(-0.424171\pi\)
0.235976 + 0.971759i \(0.424171\pi\)
\(164\) 17.0908 + 72.1119i 0.104212 + 0.439706i
\(165\) −64.6992 248.625i −0.392116 1.50682i
\(166\) 54.6868 27.4648i 0.329439 0.165450i
\(167\) 78.1853 58.2068i 0.468175 0.348544i −0.337076 0.941478i \(-0.609438\pi\)
0.805251 + 0.592934i \(0.202030\pi\)
\(168\) −9.24003 5.79181i −0.0550002 0.0344751i
\(169\) −51.4740 + 33.8550i −0.304580 + 0.200325i
\(170\) 4.01445 + 4.78423i 0.0236144 + 0.0281425i
\(171\) 66.5446 174.931i 0.389150 1.02299i
\(172\) 49.2490 + 41.3248i 0.286331 + 0.240261i
\(173\) 4.06737 34.7986i 0.0235108 0.201148i −0.976378 0.216070i \(-0.930676\pi\)
0.999889 + 0.0149224i \(0.00475011\pi\)
\(174\) 29.0725 + 33.1472i 0.167084 + 0.190501i
\(175\) 22.2054 + 74.1712i 0.126888 + 0.423836i
\(176\) 26.9861 + 25.4601i 0.153330 + 0.144659i
\(177\) 32.1050 208.665i 0.181384 1.17890i
\(178\) 68.9004 92.5493i 0.387081 0.519940i
\(179\) 111.920 + 19.7345i 0.625251 + 0.110249i 0.477292 0.878745i \(-0.341619\pi\)
0.147959 + 0.988994i \(0.452730\pi\)
\(180\) 140.153 89.3085i 0.778626 0.496158i
\(181\) 29.1494 + 165.315i 0.161047 + 0.913340i 0.953048 + 0.302821i \(0.0979283\pi\)
−0.792001 + 0.610520i \(0.790961\pi\)
\(182\) −12.3872 + 24.6649i −0.0680615 + 0.135522i
\(183\) 168.924 + 152.528i 0.923081 + 0.833489i
\(184\) −81.6115 + 9.53902i −0.443541 + 0.0518425i
\(185\) −330.681 + 502.776i −1.78747 + 2.71771i
\(186\) 66.4585 + 6.29804i 0.357304 + 0.0338604i
\(187\) −1.27239 + 4.25008i −0.00680422 + 0.0227277i
\(188\) −17.4930 + 10.0996i −0.0930478 + 0.0537212i
\(189\) −33.8233 7.75113i −0.178959 0.0410112i
\(190\) 135.764 235.151i 0.714549 1.23763i
\(191\) 65.3364 61.6418i 0.342076 0.322732i −0.495962 0.868344i \(-0.665184\pi\)
0.838038 + 0.545613i \(0.183703\pi\)
\(192\) −10.2996 + 21.6776i −0.0536436 + 0.112904i
\(193\) 16.5515 284.178i 0.0857591 1.47243i −0.631367 0.775484i \(-0.717506\pi\)
0.717126 0.696943i \(-0.245457\pi\)
\(194\) 182.068 + 78.5364i 0.938494 + 0.404827i
\(195\) −258.495 331.815i −1.32562 1.70162i
\(196\) −5.50612 94.5364i −0.0280924 0.482328i
\(197\) 95.3202 261.890i 0.483859 1.32939i −0.422301 0.906456i \(-0.638777\pi\)
0.906160 0.422936i \(-0.139000\pi\)
\(198\) 107.713 + 48.3186i 0.544003 + 0.244033i
\(199\) −218.760 + 79.6221i −1.09930 + 0.400111i −0.827057 0.562118i \(-0.809987\pi\)
−0.272240 + 0.962229i \(0.587764\pi\)
\(200\) 156.458 67.4893i 0.782289 0.337447i
\(201\) 101.476 61.5845i 0.504854 0.306391i
\(202\) −215.273 51.0207i −1.06571 0.252578i
\(203\) 3.08009 12.9959i 0.0151728 0.0640192i
\(204\) −2.86920 + 0.0627622i −0.0140647 + 0.000307658i
\(205\) 135.505 + 314.137i 0.661001 + 1.53237i
\(206\) −62.7550 172.418i −0.304636 0.836980i
\(207\) −235.313 + 113.955i −1.13678 + 0.550510i
\(208\) 57.0801 + 20.7754i 0.274423 + 0.0998819i
\(209\) 192.556 11.2151i 0.921322 0.0536609i
\(210\) −46.6501 18.9239i −0.222143 0.0901138i
\(211\) −53.3102 + 123.587i −0.252655 + 0.585720i −0.996588 0.0825340i \(-0.973699\pi\)
0.743933 + 0.668254i \(0.232958\pi\)
\(212\) −33.1866 1.93290i −0.156541 0.00911746i
\(213\) −220.598 + 152.103i −1.03567 + 0.714099i
\(214\) −172.166 182.485i −0.804513 0.852734i
\(215\) 257.024 + 148.393i 1.19546 + 0.690200i
\(216\) −8.30151 + 75.9150i −0.0384329 + 0.351458i
\(217\) −10.1110 17.5127i −0.0465943 0.0807037i
\(218\) 44.5769 + 13.3455i 0.204481 + 0.0612177i
\(219\) −348.288 + 159.359i −1.59036 + 0.727668i
\(220\) 143.094 + 94.1146i 0.650429 + 0.427794i
\(221\) 0.843252 + 7.21449i 0.00381562 + 0.0326447i
\(222\) −85.0839 263.114i −0.383261 1.18520i
\(223\) −166.127 83.4320i −0.744963 0.374135i 0.0354724 0.999371i \(-0.488706\pi\)
−0.780436 + 0.625236i \(0.785003\pi\)
\(224\) 7.15968 1.26244i 0.0319629 0.00563591i
\(225\) 399.703 366.341i 1.77646 1.62818i
\(226\) 6.93172 39.3117i 0.0306713 0.173946i
\(227\) 79.2204 + 58.9774i 0.348989 + 0.259812i 0.757352 0.653007i \(-0.226493\pi\)
−0.408363 + 0.912820i \(0.633900\pi\)
\(228\) 45.2289 + 116.287i 0.198373 + 0.510032i
\(229\) −173.425 + 183.820i −0.757314 + 0.802706i −0.985277 0.170964i \(-0.945312\pi\)
0.227963 + 0.973670i \(0.426793\pi\)
\(230\) −363.378 + 108.788i −1.57990 + 0.472992i
\(231\) −6.97855 35.0736i −0.0302102 0.151834i
\(232\) −29.1948 3.41238i −0.125839 0.0147085i
\(233\) 53.6571 63.9461i 0.230288 0.274447i −0.638510 0.769614i \(-0.720449\pi\)
0.868798 + 0.495167i \(0.164893\pi\)
\(234\) 193.264 + 2.79009i 0.825914 + 0.0119235i
\(235\) −71.4310 + 59.9378i −0.303962 + 0.255054i
\(236\) 77.3416 + 117.592i 0.327719 + 0.498272i
\(237\) 356.288 + 12.9413i 1.50333 + 0.0546047i
\(238\) 0.519141 + 0.697327i 0.00218126 + 0.00292995i
\(239\) −53.7072 106.940i −0.224716 0.447447i 0.752816 0.658231i \(-0.228695\pi\)
−0.977533 + 0.210783i \(0.932399\pi\)
\(240\) −29.4469 + 106.808i −0.122696 + 0.445032i
\(241\) −27.5511 + 6.52973i −0.114320 + 0.0270943i −0.287378 0.957817i \(-0.592783\pi\)
0.173058 + 0.984912i \(0.444635\pi\)
\(242\) 49.4564i 0.204365i
\(243\) 54.3831 + 236.836i 0.223799 + 0.974635i
\(244\) −151.731 −0.621849
\(245\) −100.815 425.370i −0.411488 1.73620i
\(246\) −151.556 41.7839i −0.616079 0.169853i
\(247\) 282.207 141.730i 1.14254 0.573805i
\(248\) −35.6978 + 26.5760i −0.143943 + 0.107161i
\(249\) −4.71217 + 129.731i −0.0189244 + 0.521008i
\(250\) 384.467 252.868i 1.53787 1.01147i
\(251\) −273.161 325.540i −1.08829 1.29697i −0.951931 0.306313i \(-0.900905\pi\)
−0.136358 0.990660i \(-0.543540\pi\)
\(252\) 20.1990 11.2763i 0.0801548 0.0447472i
\(253\) −206.409 173.198i −0.815847 0.684577i
\(254\) −39.7925 + 340.447i −0.156663 + 1.34034i
\(255\) −12.9937 + 2.58535i −0.0509558 + 0.0101386i
\(256\) −4.58885 15.3278i −0.0179252 0.0598743i
\(257\) 42.8142 + 40.3931i 0.166592 + 0.157172i 0.765023 0.644003i \(-0.222727\pi\)
−0.598431 + 0.801174i \(0.704209\pi\)
\(258\) −127.104 + 49.4361i −0.492652 + 0.191613i
\(259\) −50.0221 + 67.1913i −0.193135 + 0.259426i
\(260\) 276.153 + 48.6932i 1.06213 + 0.187282i
\(261\) −91.3104 + 20.2534i −0.349848 + 0.0775994i
\(262\) −33.6451 190.811i −0.128416 0.728285i
\(263\) 117.631 234.223i 0.447267 0.890581i −0.551154 0.834403i \(-0.685812\pi\)
0.998421 0.0561776i \(-0.0178913\pi\)
\(264\) −74.8845 + 24.2156i −0.283654 + 0.0917258i
\(265\) −152.423 + 17.8157i −0.575183 + 0.0672292i
\(266\) 20.7696 31.5786i 0.0780811 0.118717i
\(267\) 101.836 + 222.568i 0.381407 + 0.833586i
\(268\) −22.6959 + 75.8096i −0.0846863 + 0.282872i
\(269\) −363.749 + 210.011i −1.35223 + 0.780709i −0.988561 0.150821i \(-0.951808\pi\)
−0.363666 + 0.931529i \(0.618475\pi\)
\(270\) 23.1146 + 351.781i 0.0856096 + 1.30289i
\(271\) −10.8189 + 18.7390i −0.0399223 + 0.0691475i −0.885296 0.465028i \(-0.846044\pi\)
0.845374 + 0.534175i \(0.179378\pi\)
\(272\) 1.39165 1.31296i 0.00511637 0.00482705i
\(273\) −33.2359 48.2025i −0.121743 0.176566i
\(274\) 5.96941 102.491i 0.0217862 0.374054i
\(275\) 513.068 + 221.316i 1.86570 + 0.804785i
\(276\) 65.5212 161.519i 0.237396 0.585214i
\(277\) 0.735914 + 12.6352i 0.00265673 + 0.0456143i 0.999376 0.0353225i \(-0.0112458\pi\)
−0.996719 + 0.0809368i \(0.974209\pi\)
\(278\) 38.2739 105.157i 0.137676 0.378262i
\(279\) −79.5165 + 117.179i −0.285005 + 0.419996i
\(280\) 31.5375 11.4787i 0.112634 0.0409954i
\(281\) −231.321 + 99.7821i −0.823206 + 0.355096i −0.765659 0.643246i \(-0.777587\pi\)
−0.0575468 + 0.998343i \(0.518328\pi\)
\(282\) −0.937073 42.8386i −0.00332295 0.151910i
\(283\) 412.784 + 97.8317i 1.45860 + 0.345695i 0.881969 0.471308i \(-0.156218\pi\)
0.576633 + 0.817003i \(0.304366\pi\)
\(284\) 41.1961 173.820i 0.145057 0.612042i
\(285\) 298.840 + 492.412i 1.04856 + 1.72776i
\(286\) 78.8967 + 182.903i 0.275863 + 0.639521i
\(287\) 16.2878 + 44.7504i 0.0567519 + 0.155925i
\(288\) −29.8097 41.2721i −0.103506 0.143306i
\(289\) −271.356 98.7656i −0.938949 0.341749i
\(290\) −135.461 + 7.88973i −0.467109 + 0.0272060i
\(291\) −331.819 + 258.498i −1.14027 + 0.888309i
\(292\) 101.136 234.460i 0.346357 0.802946i
\(293\) −105.493 6.14426i −0.360044 0.0209702i −0.122830 0.992428i \(-0.539197\pi\)
−0.237214 + 0.971458i \(0.576234\pi\)
\(294\) 181.443 + 86.2082i 0.617154 + 0.293225i
\(295\) 445.877 + 472.602i 1.51145 + 1.60204i
\(296\) 159.654 + 92.1764i 0.539372 + 0.311407i
\(297\) −199.758 + 151.036i −0.672587 + 0.508538i
\(298\) 198.615 + 344.012i 0.666494 + 1.15440i
\(299\) −422.622 126.525i −1.41345 0.423160i
\(300\) −34.1014 + 359.847i −0.113671 + 1.19949i
\(301\) 34.5160 + 22.7015i 0.114671 + 0.0754204i
\(302\) 21.9839 + 188.084i 0.0727942 + 0.622794i
\(303\) 314.520 348.328i 1.03802 1.14960i
\(304\) −74.3344 37.3321i −0.244521 0.122803i
\(305\) −689.804 + 121.631i −2.26165 + 0.398790i
\(306\) 2.81051 5.40038i 0.00918469 0.0176483i
\(307\) −41.8453 + 237.317i −0.136304 + 0.773018i 0.837639 + 0.546224i \(0.183935\pi\)
−0.973943 + 0.226794i \(0.927176\pi\)
\(308\) 19.1232 + 14.2367i 0.0620883 + 0.0462231i
\(309\) 384.700 + 59.1896i 1.24498 + 0.191552i
\(310\) −140.986 + 149.437i −0.454795 + 0.482055i
\(311\) −199.675 + 59.7789i −0.642043 + 0.192215i −0.591243 0.806494i \(-0.701362\pi\)
−0.0508004 + 0.998709i \(0.516177\pi\)
\(312\) −96.8745 + 84.9660i −0.310495 + 0.272327i
\(313\) −11.5518 1.35021i −0.0369067 0.00431377i 0.0976195 0.995224i \(-0.468877\pi\)
−0.134526 + 0.990910i \(0.542951\pi\)
\(314\) 51.4320 61.2943i 0.163796 0.195205i
\(315\) 82.7899 67.4566i 0.262825 0.214148i
\(316\) −182.075 + 152.779i −0.576187 + 0.483478i
\(317\) −251.024 381.663i −0.791873 1.20398i −0.975286 0.220948i \(-0.929085\pi\)
0.183413 0.983036i \(-0.441286\pi\)
\(318\) 37.4530 59.7510i 0.117777 0.187896i
\(319\) −57.5597 77.3161i −0.180438 0.242370i
\(320\) −33.1491 66.0053i −0.103591 0.206267i
\(321\) 515.048 134.030i 1.60451 0.417539i
\(322\) −51.3769 + 12.1766i −0.159556 + 0.0378154i
\(323\) 9.94682i 0.0307951i
\(324\) −132.723 92.8905i −0.409638 0.286699i
\(325\) 914.842 2.81490
\(326\) −25.0893 105.860i −0.0769611 0.324725i
\(327\) −70.2996 + 69.2920i −0.214983 + 0.211902i
\(328\) 93.6586 47.0371i 0.285545 0.143406i
\(329\) −10.4115 + 7.75104i −0.0316458 + 0.0235594i
\(330\) −321.030 + 170.119i −0.972819 + 0.515511i
\(331\) −26.1929 + 17.2273i −0.0791326 + 0.0520464i −0.588459 0.808527i \(-0.700265\pi\)
0.509326 + 0.860574i \(0.329895\pi\)
\(332\) −55.6296 66.2968i −0.167559 0.199689i
\(333\) 576.165 + 110.192i 1.73022 + 0.330906i
\(334\) −105.597 88.6067i −0.316160 0.265290i
\(335\) −42.4101 + 362.841i −0.126597 + 1.08311i
\(336\) −4.95653 + 14.6041i −0.0147516 + 0.0434645i
\(337\) 51.5282 + 172.116i 0.152903 + 0.510731i 0.999778 0.0210607i \(-0.00670431\pi\)
−0.846876 + 0.531791i \(0.821519\pi\)
\(338\) 63.3753 + 59.7915i 0.187501 + 0.176898i
\(339\) 66.0429 + 52.9991i 0.194817 + 0.156340i
\(340\) 5.27427 7.08458i 0.0155126 0.0208370i
\(341\) −143.724 25.3424i −0.421478 0.0743180i
\(342\) −262.424 34.5197i −0.767321 0.100935i
\(343\) −21.5021 121.945i −0.0626884 0.355524i
\(344\) 40.8047 81.2489i 0.118618 0.236189i
\(345\) 168.397 786.826i 0.488106 2.28065i
\(346\) −49.2126 + 5.75213i −0.142233 + 0.0166246i
\(347\) 236.896 360.183i 0.682699 1.03799i −0.313389 0.949625i \(-0.601464\pi\)
0.996088 0.0883681i \(-0.0281652\pi\)
\(348\) 36.1320 50.8172i 0.103827 0.146026i
\(349\) −71.6709 + 239.397i −0.205361 + 0.685952i 0.791809 + 0.610769i \(0.209139\pi\)
−0.997170 + 0.0751836i \(0.976046\pi\)
\(350\) 94.8244 54.7469i 0.270927 0.156420i
\(351\) −202.363 + 356.600i −0.576532 + 1.01595i
\(352\) 26.2342 45.4389i 0.0745289 0.129088i
\(353\) −146.063 + 137.803i −0.413776 + 0.390378i −0.864786 0.502141i \(-0.832546\pi\)
0.451009 + 0.892519i \(0.351064\pi\)
\(354\) −297.613 + 23.8745i −0.840714 + 0.0674421i
\(355\) 47.9488 823.249i 0.135067 2.31901i
\(356\) −149.828 64.6293i −0.420864 0.181543i
\(357\) −1.82658 + 0.254102i −0.00511648 + 0.000711771i
\(358\) −9.34505 160.448i −0.0261035 0.448180i
\(359\) 47.7911 131.305i 0.133123 0.365752i −0.855164 0.518357i \(-0.826544\pi\)
0.988287 + 0.152605i \(0.0487661\pi\)
\(360\) −168.606 163.736i −0.468351 0.454822i
\(361\) −67.1462 + 24.4392i −0.186001 + 0.0676987i
\(362\) 217.982 94.0281i 0.602159 0.259746i
\(363\) 91.9827 + 50.4569i 0.253396 + 0.139000i
\(364\) 37.9812 + 9.00171i 0.104344 + 0.0247300i
\(365\) 271.840 1146.98i 0.744767 3.14242i
\(366\) 154.801 282.201i 0.422952 0.771040i
\(367\) 147.218 + 341.290i 0.401140 + 0.929946i 0.992353 + 0.123431i \(0.0393898\pi\)
−0.591213 + 0.806515i \(0.701351\pi\)
\(368\) 39.7434 + 109.194i 0.107998 + 0.296723i
\(369\) 232.334 239.245i 0.629632 0.648360i
\(370\) 799.715 + 291.073i 2.16139 + 0.786682i
\(371\) −21.3256 + 1.24207i −0.0574813 + 0.00334790i
\(372\) −13.0081 93.5071i −0.0349680 0.251363i
\(373\) 144.432 334.831i 0.387217 0.897670i −0.607433 0.794371i \(-0.707801\pi\)
0.994650 0.103299i \(-0.0329399\pi\)
\(374\) 6.26348 + 0.364806i 0.0167473 + 0.000975417i
\(375\) 78.0576 + 973.044i 0.208154 + 2.59478i
\(376\) 19.6031 + 20.7781i 0.0521360 + 0.0552609i
\(377\) −136.671 78.9069i −0.362522 0.209302i
\(378\) 0.364873 + 49.0720i 0.000965272 + 0.129820i
\(379\) −323.872 560.962i −0.854543 1.48011i −0.877069 0.480365i \(-0.840504\pi\)
0.0225260 0.999746i \(-0.492829\pi\)
\(380\) −367.867 110.132i −0.968072 0.289822i
\(381\) −592.590 421.343i −1.55536 1.10589i
\(382\) −106.134 69.8052i −0.277837 0.182736i
\(383\) −40.5347 346.797i −0.105835 0.905475i −0.936971 0.349406i \(-0.886383\pi\)
0.831136 0.556069i \(-0.187691\pi\)
\(384\) 33.1895 + 7.10323i 0.0864310 + 0.0184980i
\(385\) 98.3509 + 49.3937i 0.255457 + 0.128295i
\(386\) −396.454 + 69.9056i −1.02708 + 0.181102i
\(387\) 37.7307 286.834i 0.0974954 0.741174i
\(388\) 48.6938 276.156i 0.125499 0.711742i
\(389\) 362.665 + 269.994i 0.932300 + 0.694072i 0.952118 0.305732i \(-0.0989012\pi\)
−0.0198177 + 0.999804i \(0.506309\pi\)
\(390\) −372.303 + 463.931i −0.954623 + 1.18957i
\(391\) −9.53550 + 10.1070i −0.0243875 + 0.0258492i
\(392\) −128.295 + 38.4090i −0.327283 + 0.0979822i
\(393\) 389.210 + 132.095i 0.990355 + 0.336120i
\(394\) −391.473 45.7566i −0.993586 0.116134i
\(395\) −705.283 + 840.524i −1.78553 + 2.12791i
\(396\) 31.3615 163.981i 0.0791957 0.414094i
\(397\) 2.65467 2.22753i 0.00668683 0.00561091i −0.639438 0.768843i \(-0.720833\pi\)
0.646125 + 0.763232i \(0.276389\pi\)
\(398\) 180.914 + 275.066i 0.454557 + 0.691121i
\(399\) 37.5425 + 70.8462i 0.0940914 + 0.177559i
\(400\) −143.899 193.290i −0.359747 0.483224i
\(401\) 74.6610 + 148.662i 0.186187 + 0.370729i 0.967290 0.253674i \(-0.0816389\pi\)
−0.781103 + 0.624402i \(0.785343\pi\)
\(402\) −117.841 119.555i −0.293138 0.297400i
\(403\) −232.502 + 55.1040i −0.576929 + 0.136735i
\(404\) 312.876i 0.774445i
\(405\) −677.851 315.908i −1.67371 0.780019i
\(406\) −18.8881 −0.0465224
\(407\) 139.417 + 588.248i 0.342549 + 1.44533i
\(408\) 1.02213 + 3.92782i 0.00250521 + 0.00962700i
\(409\) −63.8997 + 32.0917i −0.156234 + 0.0784637i −0.525198 0.850980i \(-0.676009\pi\)
0.368964 + 0.929444i \(0.379713\pi\)
\(410\) 388.087 288.920i 0.946555 0.704684i
\(411\) 184.530 + 115.667i 0.448978 + 0.281427i
\(412\) −216.796 + 142.589i −0.526204 + 0.346090i
\(413\) 58.1357 + 69.2834i 0.140764 + 0.167756i
\(414\) 233.558 + 286.648i 0.564151 + 0.692386i
\(415\) −306.050 256.806i −0.737470 0.618811i
\(416\) 9.97285 85.3232i 0.0239732 0.205104i
\(417\) 156.530 + 178.469i 0.375372 + 0.427983i
\(418\) −78.2334 261.318i −0.187161 0.625162i
\(419\) −75.3841 71.1212i −0.179914 0.169740i 0.591016 0.806660i \(-0.298727\pi\)
−0.770930 + 0.636919i \(0.780208\pi\)
\(420\) −10.8266 + 70.3668i −0.0257775 + 0.167540i
\(421\) 313.478 421.074i 0.744604 1.00018i −0.254845 0.966982i \(-0.582024\pi\)
0.999449 0.0331946i \(-0.0105681\pi\)
\(422\) 187.454 + 33.0531i 0.444203 + 0.0783250i
\(423\) 80.6305 + 41.9624i 0.190616 + 0.0992020i
\(424\) 8.16364 + 46.2983i 0.0192539 + 0.109194i
\(425\) 12.9322 25.7502i 0.0304287 0.0605886i
\(426\) 281.254 + 253.956i 0.660220 + 0.596141i
\(427\) −96.8423 + 11.3192i −0.226797 + 0.0265088i
\(428\) −194.966 + 296.432i −0.455529 + 0.692598i
\(429\) −420.669 39.8654i −0.980581 0.0929262i
\(430\) 120.377 402.086i 0.279946 0.935084i
\(431\) 153.358 88.5410i 0.355818 0.205432i −0.311427 0.950270i \(-0.600807\pi\)
0.667245 + 0.744839i \(0.267474\pi\)
\(432\) 107.174 13.3353i 0.248087 0.0308687i
\(433\) 209.442 362.764i 0.483699 0.837791i −0.516126 0.856513i \(-0.672626\pi\)
0.999825 + 0.0187215i \(0.00595958\pi\)
\(434\) −20.8015 + 19.6252i −0.0479298 + 0.0452194i
\(435\) 123.528 259.991i 0.283972 0.597679i
\(436\) 3.82627 65.6945i 0.00877585 0.150675i
\(437\) 554.713 + 239.280i 1.26937 + 0.547551i
\(438\) 332.884 + 427.304i 0.760009 + 0.975580i
\(439\) −14.7253 252.824i −0.0335429 0.575909i −0.972649 0.232281i \(-0.925381\pi\)
0.939106 0.343628i \(-0.111656\pi\)
\(440\) 82.8417 227.606i 0.188277 0.517286i
\(441\) −345.450 + 249.509i −0.783334 + 0.565781i
\(442\) 9.65279 3.51333i 0.0218389 0.00794870i
\(443\) 147.773 63.7430i 0.333573 0.143889i −0.222704 0.974886i \(-0.571488\pi\)
0.556278 + 0.830997i \(0.312229\pi\)
\(444\) −334.321 + 202.896i −0.752974 + 0.456972i
\(445\) −732.959 173.714i −1.64710 0.390369i
\(446\) −60.6296 + 255.817i −0.135941 + 0.573580i
\(447\) −842.452 + 18.4282i −1.88468 + 0.0412264i
\(448\) −4.07230 9.44065i −0.00908996 0.0210729i
\(449\) −200.378 550.534i −0.446276 1.22613i −0.935298 0.353862i \(-0.884868\pi\)
0.489022 0.872272i \(-0.337354\pi\)
\(450\) −634.478 430.551i −1.40995 0.956779i
\(451\) 322.963 + 117.549i 0.716103 + 0.260640i
\(452\) −56.3573 + 3.28244i −0.124684 + 0.00726204i
\(453\) −372.241 151.002i −0.821724 0.333337i
\(454\) 55.3215 128.250i 0.121853 0.282488i
\(455\) 179.887 + 10.4772i 0.395356 + 0.0230269i
\(456\) 145.271 100.165i 0.318577 0.219661i
\(457\) 419.468 + 444.610i 0.917873 + 0.972889i 0.999718 0.0237563i \(-0.00756257\pi\)
−0.0818445 + 0.996645i \(0.526081\pi\)
\(458\) 309.514 + 178.698i 0.675794 + 0.390170i
\(459\) 7.17665 + 10.7368i 0.0156354 + 0.0233918i
\(460\) 268.215 + 464.562i 0.583076 + 1.00992i
\(461\) 199.763 + 59.8051i 0.433325 + 0.129729i 0.496034 0.868303i \(-0.334789\pi\)
−0.0627094 + 0.998032i \(0.519974\pi\)
\(462\) −45.9885 + 21.0420i −0.0995423 + 0.0455455i
\(463\) 192.773 + 126.789i 0.416355 + 0.273841i 0.740355 0.672216i \(-0.234657\pi\)
−0.324000 + 0.946057i \(0.605028\pi\)
\(464\) 4.82583 + 41.2876i 0.0104005 + 0.0889820i
\(465\) −134.095 414.677i −0.288377 0.891779i
\(466\) −105.495 52.9818i −0.226385 0.113695i
\(467\) 282.995 49.8997i 0.605986 0.106852i 0.137768 0.990465i \(-0.456007\pi\)
0.468218 + 0.883613i \(0.344896\pi\)
\(468\) −59.1917 266.859i −0.126478 0.570212i
\(469\) −8.83021 + 50.0786i −0.0188277 + 0.106777i
\(470\) 105.776 + 78.7477i 0.225056 + 0.167548i
\(471\) 61.5271 + 158.191i 0.130631 + 0.335863i
\(472\) 136.594 144.781i 0.289393 0.306739i
\(473\) 285.625 85.5106i 0.603859 0.180784i
\(474\) −98.3914 494.506i −0.207577 1.04326i
\(475\) −1244.32 145.440i −2.61962 0.306190i
\(476\) 0.790274 0.941812i 0.00166024 0.00197860i
\(477\) 72.9186 + 130.618i 0.152869 + 0.273831i
\(478\) −129.643 + 108.784i −0.271220 + 0.227581i
\(479\) 93.8272 + 142.657i 0.195882 + 0.297823i 0.920051 0.391799i \(-0.128147\pi\)
−0.724169 + 0.689622i \(0.757777\pi\)
\(480\) 156.581 + 5.68744i 0.326211 + 0.0118488i
\(481\) 591.062 + 793.934i 1.22882 + 1.65059i
\(482\) 17.9710 + 35.7833i 0.0372843 + 0.0742392i
\(483\) 29.7694 107.977i 0.0616344 0.223556i
\(484\) −68.0566 + 16.1297i −0.140613 + 0.0333259i
\(485\) 1294.50i 2.66908i
\(486\) 308.172 152.078i 0.634100 0.312918i
\(487\) 319.557 0.656174 0.328087 0.944647i \(-0.393596\pi\)
0.328087 + 0.944647i \(0.393596\pi\)
\(488\) 49.4856 + 208.796i 0.101405 + 0.427861i
\(489\) 222.483 + 61.3388i 0.454976 + 0.125437i
\(490\) −552.469 + 277.460i −1.12749 + 0.566246i
\(491\) 147.406 109.740i 0.300217 0.223503i −0.436501 0.899704i \(-0.643782\pi\)
0.736717 + 0.676201i \(0.236375\pi\)
\(492\) −8.07023 + 222.182i −0.0164029 + 0.451589i
\(493\) −4.15298 + 2.73146i −0.00842390 + 0.00554048i
\(494\) −287.073 342.120i −0.581119 0.692550i
\(495\) 11.1254 770.636i 0.0224756 1.55684i
\(496\) 48.2136 + 40.4560i 0.0972049 + 0.0815646i
\(497\) 13.3263 114.014i 0.0268135 0.229404i
\(498\) 180.059 35.8261i 0.361564 0.0719399i
\(499\) −202.950 677.900i −0.406713 1.35852i −0.878895 0.477015i \(-0.841719\pi\)
0.472182 0.881501i \(-0.343467\pi\)
\(500\) −473.360 446.592i −0.946721 0.893185i
\(501\) 272.531 105.999i 0.543974 0.211574i
\(502\) −358.885 + 482.066i −0.714910 + 0.960291i
\(503\) 299.434 + 52.7983i 0.595296 + 0.104967i 0.463175 0.886267i \(-0.346710\pi\)
0.132121 + 0.991234i \(0.457821\pi\)
\(504\) −22.1049 24.1181i −0.0438590 0.0478533i
\(505\) 250.808 + 1422.40i 0.496650 + 2.81664i
\(506\) −171.018 + 340.525i −0.337981 + 0.672975i
\(507\) −175.862 + 56.8690i −0.346868 + 0.112168i
\(508\) 481.464 56.2751i 0.947764 0.110778i
\(509\) −364.645 + 554.416i −0.716395 + 1.08923i 0.275393 + 0.961332i \(0.411192\pi\)
−0.991788 + 0.127894i \(0.959178\pi\)
\(510\) 7.79545 + 17.0374i 0.0152852 + 0.0334066i
\(511\) 47.0593 157.189i 0.0920925 0.307610i
\(512\) −19.5959 + 11.3137i −0.0382733 + 0.0220971i
\(513\) 331.935 452.857i 0.647046 0.882762i
\(514\) 41.6212 72.0901i 0.0809752 0.140253i
\(515\) −871.302 + 822.031i −1.69185 + 1.59618i
\(516\) 109.483 + 158.784i 0.212175 + 0.307721i
\(517\) −5.44674 + 93.5170i −0.0105353 + 0.180884i
\(518\) 108.776 + 46.9212i 0.209992 + 0.0905816i
\(519\) 39.5099 97.3977i 0.0761270 0.187664i
\(520\) −23.0581 395.893i −0.0443426 0.761333i
\(521\) −168.127 + 461.925i −0.322700 + 0.886612i 0.667204 + 0.744875i \(0.267491\pi\)
−0.989904 + 0.141737i \(0.954731\pi\)
\(522\) 57.6506 + 119.046i 0.110442 + 0.228058i
\(523\) 592.196 215.542i 1.13231 0.412126i 0.293177 0.956058i \(-0.405288\pi\)
0.839129 + 0.543933i \(0.183065\pi\)
\(524\) −251.600 + 108.530i −0.480153 + 0.207118i
\(525\) 5.07960 + 232.216i 0.00967543 + 0.442316i
\(526\) −360.677 85.4819i −0.685697 0.162513i
\(527\) −1.73563 + 7.32322i −0.00329342 + 0.0138960i
\(528\) 57.7458 + 95.1504i 0.109367 + 0.180209i
\(529\) −124.737 289.173i −0.235798 0.546641i
\(530\) 74.2275 + 203.938i 0.140052 + 0.384790i
\(531\) 259.230 577.880i 0.488192 1.08829i
\(532\) −50.2289 18.2818i −0.0944152 0.0343643i
\(533\) 561.755 32.7185i 1.05395 0.0613856i
\(534\) 273.061 212.724i 0.511350 0.398359i
\(535\) −648.735 + 1503.94i −1.21259 + 2.81110i
\(536\) 111.723 + 6.50713i 0.208439 + 0.0121402i
\(537\) 307.948 + 146.314i 0.573460 + 0.272465i
\(538\) 407.627 + 432.060i 0.757672 + 0.803085i
\(539\) −380.327 219.582i −0.705616 0.407388i
\(540\) 476.546 146.538i 0.882492 0.271366i
\(541\) 253.875 + 439.724i 0.469270 + 0.812799i 0.999383 0.0351278i \(-0.0111838\pi\)
−0.530113 + 0.847927i \(0.677850\pi\)
\(542\) 29.3151 + 8.77635i 0.0540868 + 0.0161925i
\(543\) −47.5110 + 501.348i −0.0874973 + 0.923294i
\(544\) −2.26062 1.48684i −0.00415556 0.00273315i
\(545\) −35.2671 301.729i −0.0647103 0.553632i
\(546\) −55.4916 + 61.4564i −0.101633 + 0.112558i
\(547\) −379.035 190.359i −0.692934 0.348005i 0.0672283 0.997738i \(-0.478584\pi\)
−0.760162 + 0.649733i \(0.774881\pi\)
\(548\) −142.984 + 25.2119i −0.260919 + 0.0460071i
\(549\) 366.925 + 575.819i 0.668352 + 1.04885i
\(550\) 137.219 778.210i 0.249490 1.41493i
\(551\) 173.348 + 129.053i 0.314606 + 0.234215i
\(552\) −243.634 37.4854i −0.441367 0.0679083i
\(553\) −104.812 + 111.094i −0.189533 + 0.200894i
\(554\) 17.1471 5.13352i 0.0309515 0.00926627i
\(555\) −1357.25 + 1190.41i −2.44550 + 2.14488i
\(556\) −157.188 18.3727i −0.282713 0.0330444i
\(557\) −123.616 + 147.319i −0.221931 + 0.264487i −0.865509 0.500893i \(-0.833005\pi\)
0.643578 + 0.765381i \(0.277449\pi\)
\(558\) 187.183 + 71.2054i 0.335453 + 0.127608i
\(559\) 373.944 313.776i 0.668951 0.561317i
\(560\) −26.0814 39.6549i −0.0465740 0.0708123i
\(561\) −7.06868 + 11.2771i −0.0126001 + 0.0201018i
\(562\) 212.752 + 285.776i 0.378563 + 0.508499i
\(563\) 256.994 + 511.718i 0.456473 + 0.908913i 0.997684 + 0.0680255i \(0.0216699\pi\)
−0.541210 + 0.840887i \(0.682034\pi\)
\(564\) −58.6443 + 15.2609i −0.103979 + 0.0270583i
\(565\) −253.582 + 60.1000i −0.448818 + 0.106372i
\(566\) 599.937i 1.05996i
\(567\) −91.6400 49.3861i −0.161623 0.0871008i
\(568\) −252.628 −0.444768
\(569\) 226.892 + 957.333i 0.398756 + 1.68248i 0.688386 + 0.725344i \(0.258320\pi\)
−0.289630 + 0.957139i \(0.593532\pi\)
\(570\) 580.141 571.827i 1.01779 1.00320i
\(571\) −17.2215 + 8.64899i −0.0301603 + 0.0151471i −0.463815 0.885932i \(-0.653520\pi\)
0.433655 + 0.901079i \(0.357224\pi\)
\(572\) 225.960 168.221i 0.395036 0.294093i
\(573\) 238.110 126.178i 0.415549 0.220206i
\(574\) 56.2686 37.0084i 0.0980289 0.0644746i
\(575\) 1124.94 + 1340.65i 1.95641 + 2.33156i
\(576\) −47.0721 + 54.4814i −0.0817223 + 0.0945857i
\(577\) 284.913 + 239.070i 0.493783 + 0.414333i 0.855380 0.518001i \(-0.173324\pi\)
−0.361597 + 0.932335i \(0.617768\pi\)
\(578\) −47.4105 + 405.623i −0.0820251 + 0.701770i
\(579\) 274.459 808.674i 0.474022 1.39667i
\(580\) 55.0364 + 183.834i 0.0948904 + 0.316956i
\(581\) −40.4514 38.1639i −0.0696237 0.0656866i
\(582\) 463.937 + 372.307i 0.797142 + 0.639703i
\(583\) −92.0621 + 123.661i −0.157911 + 0.212111i
\(584\) −355.624 62.7060i −0.608945 0.107373i
\(585\) −483.019 1165.75i −0.825674 1.99274i
\(586\) 25.9504 + 147.172i 0.0442839 + 0.251147i
\(587\) 395.573 787.652i 0.673890 1.34183i −0.253356 0.967373i \(-0.581534\pi\)
0.927246 0.374452i \(-0.122169\pi\)
\(588\) 59.4546 277.799i 0.101113 0.472447i
\(589\) 324.997 37.9867i 0.551778 0.0644936i
\(590\) 504.926 767.703i 0.855807 1.30119i
\(591\) 484.494 681.408i 0.819787 1.15297i
\(592\) 74.7737 249.762i 0.126307 0.421894i
\(593\) 226.200 130.597i 0.381450 0.220230i −0.296999 0.954878i \(-0.595986\pi\)
0.678449 + 0.734648i \(0.262652\pi\)
\(594\) 272.989 + 225.627i 0.459577 + 0.379844i
\(595\) 2.83779 4.91520i 0.00476939 0.00826083i
\(596\) 408.616 385.509i 0.685597 0.646827i
\(597\) −696.162 + 55.8462i −1.16610 + 0.0935447i
\(598\) −36.2759 + 622.832i −0.0606620 + 1.04153i
\(599\) −910.950 392.945i −1.52078 0.656002i −0.538368 0.842710i \(-0.680959\pi\)
−0.982416 + 0.186707i \(0.940218\pi\)
\(600\) 506.304 70.4337i 0.843840 0.117390i
\(601\) 28.7286 + 493.251i 0.0478014 + 0.820718i 0.933969 + 0.357353i \(0.116321\pi\)
−0.886168 + 0.463364i \(0.846642\pi\)
\(602\) 19.9824 54.9012i 0.0331933 0.0911979i
\(603\) 342.582 97.1965i 0.568130 0.161188i
\(604\) 251.651 91.5935i 0.416641 0.151645i
\(605\) −296.471 + 127.885i −0.490035 + 0.211380i
\(606\) −581.910 319.205i −0.960247 0.526741i
\(607\) −785.689 186.212i −1.29438 0.306774i −0.474981 0.879996i \(-0.657545\pi\)
−0.819400 + 0.573222i \(0.805693\pi\)
\(608\) −27.1291 + 114.467i −0.0446202 + 0.188267i
\(609\) 19.2702 35.1295i 0.0316424 0.0576839i
\(610\) 392.348 + 909.566i 0.643194 + 1.49109i
\(611\) 52.4558 + 144.121i 0.0858524 + 0.235877i
\(612\) −8.34805 2.10625i −0.0136406 0.00344158i
\(613\) −781.441 284.421i −1.27478 0.463982i −0.386078 0.922466i \(-0.626170\pi\)
−0.888703 + 0.458484i \(0.848393\pi\)
\(614\) 340.217 19.8154i 0.554100 0.0322726i
\(615\) 141.417 + 1016.56i 0.229946 + 1.65294i
\(616\) 13.3542 30.9585i 0.0216789 0.0502573i
\(617\) −428.414 24.9523i −0.694351 0.0404413i −0.292660 0.956217i \(-0.594540\pi\)
−0.401691 + 0.915775i \(0.631577\pi\)
\(618\) −44.0157 548.687i −0.0712228 0.887843i
\(619\) 249.491 + 264.445i 0.403055 + 0.427214i 0.896829 0.442376i \(-0.145864\pi\)
−0.493774 + 0.869590i \(0.664383\pi\)
\(620\) 251.620 + 145.273i 0.405840 + 0.234312i
\(621\) −771.412 + 141.943i −1.24221 + 0.228571i
\(622\) 147.383 + 255.276i 0.236951 + 0.410411i
\(623\) −100.449 30.0724i −0.161234 0.0482703i
\(624\) 148.516 + 105.598i 0.238006 + 0.169227i
\(625\) −1251.69 823.251i −2.00271 1.31720i
\(626\) 1.90949 + 16.3367i 0.00305030 + 0.0260970i
\(627\) 565.834 + 121.100i 0.902447 + 0.193142i
\(628\) −101.121 50.7847i −0.161020 0.0808674i
\(629\) 30.7022 5.41363i 0.0488111 0.00860672i
\(630\) −119.828 91.9263i −0.190203 0.145915i
\(631\) 26.3829 149.625i 0.0418112 0.237123i −0.956739 0.290947i \(-0.906030\pi\)
0.998550 + 0.0538237i \(0.0171409\pi\)
\(632\) 269.620 + 200.725i 0.426614 + 0.317603i
\(633\) −252.721 + 314.918i −0.399243 + 0.497501i
\(634\) −443.335 + 469.908i −0.699267 + 0.741179i
\(635\) 2143.73 641.792i 3.37596 1.01070i
\(636\) −94.4378 32.0516i −0.148487 0.0503956i
\(637\) −714.161 83.4735i −1.12113 0.131042i
\(638\) −87.6217 + 104.423i −0.137338 + 0.163673i
\(639\) −759.270 + 264.003i −1.18822 + 0.413150i
\(640\) −80.0182 + 67.1432i −0.125028 + 0.104911i
\(641\) 59.5235 + 90.5010i 0.0928603 + 0.141187i 0.878930 0.476950i \(-0.158258\pi\)
−0.786070 + 0.618138i \(0.787887\pi\)
\(642\) −352.415 665.042i −0.548934 1.03589i
\(643\) −248.096 333.251i −0.385842 0.518275i 0.566190 0.824275i \(-0.308417\pi\)
−0.952032 + 0.305999i \(0.901009\pi\)
\(644\) 33.5121 + 66.7282i 0.0520375 + 0.103615i
\(645\) 625.017 + 634.106i 0.969019 + 0.983110i
\(646\) −13.6877 + 3.24406i −0.0211885 + 0.00502176i
\(647\) 299.044i 0.462201i 0.972930 + 0.231100i \(0.0742326\pi\)
−0.972930 + 0.231100i \(0.925767\pi\)
\(648\) −84.5398 + 212.934i −0.130463 + 0.328602i
\(649\) 652.726 1.00574
\(650\) −298.367 1258.91i −0.459026 1.93678i
\(651\) −15.2781 58.7105i −0.0234687 0.0901851i
\(652\) −137.491 + 69.0505i −0.210876 + 0.105906i
\(653\) −246.801 + 183.736i −0.377949 + 0.281373i −0.769324 0.638858i \(-0.779407\pi\)
0.391375 + 0.920231i \(0.372000\pi\)
\(654\) 118.280 + 74.1399i 0.180856 + 0.113364i
\(655\) −1056.83 + 695.090i −1.61348 + 1.06121i
\(656\) −95.2733 113.542i −0.145234 0.173083i
\(657\) −1134.35 + 183.174i −1.72656 + 0.278804i
\(658\) 14.0617 + 11.7992i 0.0213704 + 0.0179319i
\(659\) −14.9611 + 128.001i −0.0227028 + 0.194234i −0.999830 0.0184194i \(-0.994137\pi\)
0.977128 + 0.212654i \(0.0682107\pi\)
\(660\) 338.800 + 386.285i 0.513334 + 0.585281i
\(661\) −268.576 897.105i −0.406317 1.35719i −0.879361 0.476155i \(-0.842030\pi\)
0.473044 0.881039i \(-0.343155\pi\)
\(662\) 32.2490 + 30.4253i 0.0487145 + 0.0459597i
\(663\) −3.31372 + 21.5374i −0.00499807 + 0.0324847i
\(664\) −73.0875 + 98.1736i −0.110072 + 0.147852i
\(665\) −243.007 42.8487i −0.365424 0.0644342i
\(666\) −36.2762 828.794i −0.0544688 1.24444i
\(667\) −52.4239 297.311i −0.0785966 0.445744i
\(668\) −87.4916 + 174.210i −0.130975 + 0.260793i
\(669\) −413.930 373.755i −0.618730 0.558677i
\(670\) 513.135 59.9769i 0.765874 0.0895178i
\(671\) −386.671 + 587.905i −0.576261 + 0.876162i
\(672\) 21.7131 + 2.05767i 0.0323112 + 0.00306202i
\(673\) 136.270 455.174i 0.202482 0.676336i −0.795077 0.606508i \(-0.792570\pi\)
0.997559 0.0698280i \(-0.0222450\pi\)
\(674\) 220.043 127.042i 0.326473 0.188489i
\(675\) 1448.08 740.788i 2.14531 1.09746i
\(676\) 61.6095 106.711i 0.0911383 0.157856i
\(677\) 461.324 435.237i 0.681424 0.642890i −0.265589 0.964086i \(-0.585566\pi\)
0.947013 + 0.321196i \(0.104085\pi\)
\(678\) 51.3925 108.166i 0.0758002 0.159537i
\(679\) 10.4773 179.889i 0.0154306 0.264932i
\(680\) −11.4692 4.94733i −0.0168665 0.00727548i
\(681\) 182.087 + 233.735i 0.267382 + 0.343223i
\(682\) 12.0006 + 206.043i 0.0175962 + 0.302116i
\(683\) 333.383 915.962i 0.488116 1.34109i −0.414268 0.910155i \(-0.635963\pi\)
0.902384 0.430932i \(-0.141815\pi\)
\(684\) 38.0846 + 372.378i 0.0556792 + 0.544412i
\(685\) −629.827 + 229.238i −0.919455 + 0.334654i
\(686\) −160.794 + 69.3600i −0.234394 + 0.101108i
\(687\) −648.131 + 393.344i −0.943422 + 0.572553i
\(688\) −125.114 29.6526i −0.181852 0.0430997i
\(689\) −58.2098 + 245.607i −0.0844845 + 0.356468i
\(690\) −1137.67 + 24.8859i −1.64879 + 0.0360665i
\(691\) 230.766 + 534.975i 0.333959 + 0.774204i 0.999610 + 0.0279405i \(0.00889488\pi\)
−0.665651 + 0.746264i \(0.731846\pi\)
\(692\) 23.9657 + 65.8451i 0.0346325 + 0.0951519i
\(693\) 7.78335 107.001i 0.0112314 0.154402i
\(694\) −572.908 208.521i −0.825515 0.300463i
\(695\) −729.341 + 42.4793i −1.04941 + 0.0611213i
\(696\) −81.7132 33.1474i −0.117404 0.0476256i
\(697\) 7.02004 16.2743i 0.0100718 0.0233491i
\(698\) 352.808 + 20.5487i 0.505455 + 0.0294394i
\(699\) 206.169 142.155i 0.294949 0.203369i
\(700\) −106.263 112.632i −0.151804 0.160903i
\(701\) 20.0883 + 11.5980i 0.0286567 + 0.0165449i 0.514260 0.857634i \(-0.328067\pi\)
−0.485603 + 0.874179i \(0.661400\pi\)
\(702\) 556.714 + 162.169i 0.793039 + 0.231010i
\(703\) −677.713 1173.83i −0.964029 1.66975i
\(704\) −71.0842 21.2812i −0.100972 0.0302290i
\(705\) −254.377 + 116.390i −0.360818 + 0.165092i
\(706\) 237.267 + 156.053i 0.336073 + 0.221039i
\(707\) 23.3408 + 199.693i 0.0330138 + 0.282451i
\(708\) 129.917 + 401.756i 0.183499 + 0.567453i
\(709\) 446.038 + 224.009i 0.629108 + 0.315950i 0.734631 0.678467i \(-0.237355\pi\)
−0.105523 + 0.994417i \(0.533652\pi\)
\(710\) −1148.51 + 202.513i −1.61761 + 0.285229i
\(711\) 1020.10 + 321.515i 1.43474 + 0.452201i
\(712\) −40.0712 + 227.255i −0.0562798 + 0.319178i
\(713\) −366.648 272.960i −0.514233 0.382832i
\(714\) 0.945390 + 2.43068i 0.00132408 + 0.00340431i
\(715\) 892.417 945.907i 1.24814 1.32295i
\(716\) −217.744 + 65.1883i −0.304112 + 0.0910451i
\(717\) −70.0578 352.104i −0.0977096 0.491080i
\(718\) −196.275 22.9412i −0.273363 0.0319515i
\(719\) −644.746 + 768.379i −0.896726 + 1.06868i 0.100551 + 0.994932i \(0.467940\pi\)
−0.997277 + 0.0737450i \(0.976505\pi\)
\(720\) −170.327 + 285.419i −0.236565 + 0.396415i
\(721\) −127.733 + 107.181i −0.177161 + 0.148655i
\(722\) 55.5297 + 84.4289i 0.0769110 + 0.116937i
\(723\) −84.8870 3.08332i −0.117409 0.00426462i
\(724\) −200.484 269.297i −0.276911 0.371957i
\(725\) 280.974 + 559.465i 0.387550 + 0.771676i
\(726\) 39.4342 143.033i 0.0543171 0.197015i
\(727\) 1086.94 257.610i 1.49510 0.354346i 0.599926 0.800056i \(-0.295197\pi\)
0.895178 + 0.445710i \(0.147049\pi\)
\(728\) 55.2015i 0.0758262i
\(729\) −31.5609 + 728.316i −0.0432935 + 0.999062i
\(730\) −1667.01 −2.28358
\(731\) −3.54582 14.9610i −0.00485064 0.0204664i
\(732\) −438.821 120.983i −0.599482 0.165277i
\(733\) 718.190 360.689i 0.979795 0.492072i 0.114548 0.993418i \(-0.463458\pi\)
0.865247 + 0.501346i \(0.167162\pi\)
\(734\) 421.634 313.895i 0.574433 0.427649i
\(735\) 47.6043 1310.60i 0.0647677 1.78312i
\(736\) 137.299 90.3031i 0.186548 0.122694i
\(737\) 235.898 + 281.132i 0.320078 + 0.381454i
\(738\) −404.997 241.686i −0.548776 0.327488i
\(739\) −112.239 94.1800i −0.151880 0.127443i 0.563681 0.825992i \(-0.309385\pi\)
−0.715561 + 0.698550i \(0.753829\pi\)
\(740\) 139.724 1195.41i 0.188816 1.61542i
\(741\) 929.180 184.878i 1.25395 0.249498i
\(742\) 8.66433 + 28.9409i 0.0116770 + 0.0390039i
\(743\) −864.334 815.457i −1.16330 1.09752i −0.993708 0.112006i \(-0.964272\pi\)
−0.169595 0.985514i \(-0.554246\pi\)
\(744\) −124.432 + 48.3968i −0.167247 + 0.0650494i
\(745\) 1548.63 2080.17i 2.07869 2.79217i
\(746\) −507.864 89.5500i −0.680782 0.120040i
\(747\) −117.069 + 371.437i −0.156719 + 0.497239i
\(748\) −1.54076 8.73811i −0.00205984 0.0116820i
\(749\) −102.323 + 203.742i −0.136613 + 0.272019i
\(750\) 1313.54 424.763i 1.75139 0.566351i
\(751\) 485.615 56.7603i 0.646625 0.0755796i 0.213542 0.976934i \(-0.431500\pi\)
0.433082 + 0.901354i \(0.357426\pi\)
\(752\) 22.1992 33.7523i 0.0295203 0.0448834i
\(753\) −530.437 1159.30i −0.704431 1.53957i
\(754\) −64.0094 + 213.806i −0.0848932 + 0.283563i
\(755\) 1070.64 618.134i 1.41807 0.818721i
\(756\) 67.4087 16.5064i 0.0891649 0.0218339i
\(757\) −294.470 + 510.038i −0.388997 + 0.673762i −0.992315 0.123739i \(-0.960512\pi\)
0.603318 + 0.797501i \(0.293845\pi\)
\(758\) −666.309 + 628.630i −0.879035 + 0.829327i
\(759\) −458.856 665.487i −0.604554 0.876794i
\(760\) −31.5760 + 542.138i −0.0415473 + 0.713340i
\(761\) 105.288 + 45.4169i 0.138355 + 0.0596805i 0.464132 0.885766i \(-0.346366\pi\)
−0.325777 + 0.945447i \(0.605626\pi\)
\(762\) −386.540 + 952.876i −0.507270 + 1.25049i
\(763\) −2.45874 42.2149i −0.00322246 0.0553276i
\(764\) −61.4440 + 168.816i −0.0804241 + 0.220963i
\(765\) −39.6405 2.88350i −0.0518177 0.00376928i
\(766\) −464.005 + 168.884i −0.605751 + 0.220475i
\(767\) 981.277 423.282i 1.27937 0.551867i
\(768\) −1.04972 47.9885i −0.00136683 0.0624851i
\(769\) 714.917 + 169.439i 0.929672 + 0.220336i 0.667436 0.744668i \(-0.267392\pi\)
0.262236 + 0.965004i \(0.415540\pi\)
\(770\) 35.8941 151.449i 0.0466158 0.196687i
\(771\) 91.6153 + 150.959i 0.118827 + 0.195796i
\(772\)