Properties

Label 570.2.n.a.179.10
Level $570$
Weight $2$
Character 570.179
Analytic conductor $4.551$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.n (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 179.10
Character \(\chi\) \(=\) 570.179
Dual form 570.2.n.a.449.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(-0.105626 + 1.72883i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-0.264142 + 2.22041i) q^{5} +(0.955888 - 1.44440i) q^{6} +2.53373i q^{7} -1.00000i q^{8} +(-2.97769 - 0.365218i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(-0.105626 + 1.72883i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-0.264142 + 2.22041i) q^{5} +(0.955888 - 1.44440i) q^{6} +2.53373i q^{7} -1.00000i q^{8} +(-2.97769 - 0.365218i) q^{9} +(1.33896 - 1.79086i) q^{10} -0.736692i q^{11} +(-1.55002 + 0.772939i) q^{12} +(2.38601 + 4.13269i) q^{13} +(1.26686 - 2.19427i) q^{14} +(-3.81081 - 0.691189i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(1.03960 - 1.80064i) q^{17} +(2.39614 + 1.80513i) q^{18} +(0.713722 + 4.30007i) q^{19} +(-2.05500 + 0.881452i) q^{20} +(-4.38038 - 0.267628i) q^{21} +(-0.368346 + 0.637994i) q^{22} +(-3.12477 - 5.41225i) q^{23} +(1.72883 + 0.105626i) q^{24} +(-4.86046 - 1.17301i) q^{25} -4.77202i q^{26} +(0.945920 - 5.10933i) q^{27} +(-2.19427 + 1.26686i) q^{28} +(1.30852 + 2.26642i) q^{29} +(2.95466 + 2.50399i) q^{30} -5.26487i q^{31} +(0.866025 - 0.500000i) q^{32} +(1.27361 + 0.0778138i) q^{33} +(-1.80064 + 1.03960i) q^{34} +(-5.62592 - 0.669264i) q^{35} +(-1.17255 - 2.76136i) q^{36} -10.3010 q^{37} +(1.53193 - 4.08083i) q^{38} +(-7.39673 + 3.68848i) q^{39} +(2.22041 + 0.264142i) q^{40} +(1.22616 - 2.12377i) q^{41} +(3.65970 + 2.42196i) q^{42} +(7.46202 + 4.30820i) q^{43} +(0.637994 - 0.368346i) q^{44} +(1.59747 - 6.51522i) q^{45} +6.24953i q^{46} +(-0.809291 - 1.40173i) q^{47} +(-1.44440 - 0.955888i) q^{48} +0.580221 q^{49} +(3.62278 + 3.44608i) q^{50} +(3.00319 + 1.98749i) q^{51} +(-2.38601 + 4.13269i) q^{52} +(-11.0525 + 6.38115i) q^{53} +(-3.37385 + 3.95185i) q^{54} +(1.63576 + 0.194591i) q^{55} +2.53373 q^{56} +(-7.50946 + 0.779703i) q^{57} -2.61704i q^{58} +(-2.59700 + 4.49814i) q^{59} +(-1.30682 - 3.64585i) q^{60} +(5.07194 + 8.78486i) q^{61} +(-2.63243 + 4.55951i) q^{62} +(0.925364 - 7.54465i) q^{63} -1.00000 q^{64} +(-9.80651 + 4.20630i) q^{65} +(-1.06407 - 0.704195i) q^{66} +(-2.74400 - 4.75275i) q^{67} +2.07920 q^{68} +(9.68690 - 4.83050i) q^{69} +(4.53756 + 3.39256i) q^{70} +(0.182067 - 0.315350i) q^{71} +(-0.365218 + 2.97769i) q^{72} +(-2.05162 - 1.18451i) q^{73} +(8.92092 + 5.15050i) q^{74} +(2.54132 - 8.27899i) q^{75} +(-3.36711 + 2.76814i) q^{76} +1.86658 q^{77} +(8.24999 + 0.504049i) q^{78} +(-0.280369 - 0.161871i) q^{79} +(-1.79086 - 1.33896i) q^{80} +(8.73323 + 2.17501i) q^{81} +(-2.12377 + 1.22616i) q^{82} +12.6729 q^{83} +(-1.95842 - 3.92733i) q^{84} +(3.72357 + 2.78397i) q^{85} +(-4.30820 - 7.46202i) q^{86} +(-4.05646 + 2.02281i) q^{87} -0.736692 q^{88} +(6.18913 + 10.7199i) q^{89} +(-4.64106 + 4.84361i) q^{90} +(-10.4711 + 6.04550i) q^{91} +(3.12477 - 5.41225i) q^{92} +(9.10205 + 0.556107i) q^{93} +1.61858i q^{94} +(-9.73645 + 0.448927i) q^{95} +(0.772939 + 1.55002i) q^{96} +(5.90419 - 10.2264i) q^{97} +(-0.502487 - 0.290111i) q^{98} +(-0.269053 + 2.19364i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 40q^{4} + O(q^{10}) \) \( 80q + 40q^{4} + 30q^{15} - 40q^{16} + 8q^{19} + 8q^{25} - 4q^{30} + 48q^{39} + 12q^{45} - 128q^{49} - 36q^{54} + 12q^{55} + 30q^{60} - 24q^{61} - 80q^{64} + 4q^{66} + 36q^{70} + 16q^{76} + 24q^{79} + 32q^{81} - 8q^{85} - 54q^{90} + 24q^{91} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 0.500000i −0.612372 0.353553i
\(3\) −0.105626 + 1.72883i −0.0609832 + 0.998139i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −0.264142 + 2.22041i −0.118128 + 0.992998i
\(6\) 0.955888 1.44440i 0.390240 0.589672i
\(7\) 2.53373i 0.957659i 0.877908 + 0.478830i \(0.158939\pi\)
−0.877908 + 0.478830i \(0.841061\pi\)
\(8\) 1.00000i 0.353553i
\(9\) −2.97769 0.365218i −0.992562 0.121739i
\(10\) 1.33896 1.79086i 0.423416 0.566320i
\(11\) 0.736692i 0.222121i −0.993814 0.111060i \(-0.964575\pi\)
0.993814 0.111060i \(-0.0354247\pi\)
\(12\) −1.55002 + 0.772939i −0.447453 + 0.223128i
\(13\) 2.38601 + 4.13269i 0.661760 + 1.14620i 0.980153 + 0.198243i \(0.0635234\pi\)
−0.318393 + 0.947959i \(0.603143\pi\)
\(14\) 1.26686 2.19427i 0.338584 0.586444i
\(15\) −3.81081 0.691189i −0.983946 0.178464i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 1.03960 1.80064i 0.252141 0.436720i −0.711974 0.702205i \(-0.752199\pi\)
0.964115 + 0.265485i \(0.0855321\pi\)
\(18\) 2.39614 + 1.80513i 0.564776 + 0.425474i
\(19\) 0.713722 + 4.30007i 0.163739 + 0.986504i
\(20\) −2.05500 + 0.881452i −0.459513 + 0.197099i
\(21\) −4.38038 0.267628i −0.955877 0.0584011i
\(22\) −0.368346 + 0.637994i −0.0785316 + 0.136021i
\(23\) −3.12477 5.41225i −0.651559 1.12853i −0.982745 0.184967i \(-0.940782\pi\)
0.331186 0.943565i \(-0.392551\pi\)
\(24\) 1.72883 + 0.105626i 0.352895 + 0.0215608i
\(25\) −4.86046 1.17301i −0.972092 0.234602i
\(26\) 4.77202i 0.935870i
\(27\) 0.945920 5.10933i 0.182042 0.983291i
\(28\) −2.19427 + 1.26686i −0.414679 + 0.239415i
\(29\) 1.30852 + 2.26642i 0.242986 + 0.420863i 0.961563 0.274583i \(-0.0885399\pi\)
−0.718578 + 0.695447i \(0.755207\pi\)
\(30\) 2.95466 + 2.50399i 0.539445 + 0.457164i
\(31\) 5.26487i 0.945598i −0.881170 0.472799i \(-0.843244\pi\)
0.881170 0.472799i \(-0.156756\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) 1.27361 + 0.0778138i 0.221707 + 0.0135456i
\(34\) −1.80064 + 1.03960i −0.308808 + 0.178290i
\(35\) −5.62592 0.669264i −0.950954 0.113126i
\(36\) −1.17255 2.76136i −0.195426 0.460227i
\(37\) −10.3010 −1.69347 −0.846737 0.532012i \(-0.821436\pi\)
−0.846737 + 0.532012i \(0.821436\pi\)
\(38\) 1.53193 4.08083i 0.248512 0.661998i
\(39\) −7.39673 + 3.68848i −1.18442 + 0.590629i
\(40\) 2.22041 + 0.264142i 0.351078 + 0.0417645i
\(41\) 1.22616 2.12377i 0.191494 0.331677i −0.754252 0.656585i \(-0.772000\pi\)
0.945746 + 0.324908i \(0.105333\pi\)
\(42\) 3.65970 + 2.42196i 0.564705 + 0.373717i
\(43\) 7.46202 + 4.30820i 1.13795 + 0.656995i 0.945922 0.324395i \(-0.105161\pi\)
0.192026 + 0.981390i \(0.438494\pi\)
\(44\) 0.637994 0.368346i 0.0961811 0.0555302i
\(45\) 1.59747 6.51522i 0.238136 0.971232i
\(46\) 6.24953i 0.921443i
\(47\) −0.809291 1.40173i −0.118047 0.204464i 0.800947 0.598736i \(-0.204330\pi\)
−0.918994 + 0.394272i \(0.870997\pi\)
\(48\) −1.44440 0.955888i −0.208480 0.137971i
\(49\) 0.580221 0.0828888
\(50\) 3.62278 + 3.44608i 0.512338 + 0.487350i
\(51\) 3.00319 + 1.98749i 0.420531 + 0.278304i
\(52\) −2.38601 + 4.13269i −0.330880 + 0.573101i
\(53\) −11.0525 + 6.38115i −1.51818 + 0.876519i −0.518404 + 0.855136i \(0.673474\pi\)
−0.999771 + 0.0213828i \(0.993193\pi\)
\(54\) −3.37385 + 3.95185i −0.459124 + 0.537778i
\(55\) 1.63576 + 0.194591i 0.220566 + 0.0262387i
\(56\) 2.53373 0.338584
\(57\) −7.50946 + 0.779703i −0.994653 + 0.103274i
\(58\) 2.61704i 0.343634i
\(59\) −2.59700 + 4.49814i −0.338101 + 0.585609i −0.984076 0.177751i \(-0.943118\pi\)
0.645974 + 0.763359i \(0.276451\pi\)
\(60\) −1.30682 3.64585i −0.168709 0.470677i
\(61\) 5.07194 + 8.78486i 0.649396 + 1.12479i 0.983267 + 0.182168i \(0.0583114\pi\)
−0.333872 + 0.942619i \(0.608355\pi\)
\(62\) −2.63243 + 4.55951i −0.334319 + 0.579058i
\(63\) 0.925364 7.54465i 0.116585 0.950536i
\(64\) −1.00000 −0.125000
\(65\) −9.80651 + 4.20630i −1.21635 + 0.521728i
\(66\) −1.06407 0.704195i −0.130978 0.0866804i
\(67\) −2.74400 4.75275i −0.335233 0.580641i 0.648296 0.761388i \(-0.275482\pi\)
−0.983530 + 0.180747i \(0.942148\pi\)
\(68\) 2.07920 0.252141
\(69\) 9.68690 4.83050i 1.16617 0.581524i
\(70\) 4.53756 + 3.39256i 0.542342 + 0.405488i
\(71\) 0.182067 0.315350i 0.0216074 0.0374251i −0.855020 0.518596i \(-0.826455\pi\)
0.876627 + 0.481171i \(0.159788\pi\)
\(72\) −0.365218 + 2.97769i −0.0430414 + 0.350924i
\(73\) −2.05162 1.18451i −0.240124 0.138636i 0.375110 0.926981i \(-0.377605\pi\)
−0.615234 + 0.788345i \(0.710938\pi\)
\(74\) 8.92092 + 5.15050i 1.03704 + 0.598733i
\(75\) 2.54132 8.27899i 0.293446 0.955976i
\(76\) −3.36711 + 2.76814i −0.386234 + 0.317527i
\(77\) 1.86658 0.212716
\(78\) 8.24999 + 0.504049i 0.934128 + 0.0570723i
\(79\) −0.280369 0.161871i −0.0315440 0.0182119i 0.484145 0.874988i \(-0.339131\pi\)
−0.515689 + 0.856776i \(0.672464\pi\)
\(80\) −1.79086 1.33896i −0.200224 0.149700i
\(81\) 8.73323 + 2.17501i 0.970359 + 0.241668i
\(82\) −2.12377 + 1.22616i −0.234531 + 0.135407i
\(83\) 12.6729 1.39103 0.695515 0.718512i \(-0.255176\pi\)
0.695515 + 0.718512i \(0.255176\pi\)
\(84\) −1.95842 3.92733i −0.213681 0.428507i
\(85\) 3.72357 + 2.78397i 0.403878 + 0.301964i
\(86\) −4.30820 7.46202i −0.464565 0.804651i
\(87\) −4.05646 + 2.02281i −0.434898 + 0.216868i
\(88\) −0.736692 −0.0785316
\(89\) 6.18913 + 10.7199i 0.656046 + 1.13631i 0.981630 + 0.190792i \(0.0611057\pi\)
−0.325584 + 0.945513i \(0.605561\pi\)
\(90\) −4.64106 + 4.84361i −0.489210 + 0.510562i
\(91\) −10.4711 + 6.04550i −1.09767 + 0.633740i
\(92\) 3.12477 5.41225i 0.325779 0.564266i
\(93\) 9.10205 + 0.556107i 0.943838 + 0.0576656i
\(94\) 1.61858i 0.166944i
\(95\) −9.73645 + 0.448927i −0.998939 + 0.0460590i
\(96\) 0.772939 + 1.55002i 0.0788877 + 0.158198i
\(97\) 5.90419 10.2264i 0.599480 1.03833i −0.393418 0.919360i \(-0.628707\pi\)
0.992898 0.118970i \(-0.0379592\pi\)
\(98\) −0.502487 0.290111i −0.0507588 0.0293056i
\(99\) −0.269053 + 2.19364i −0.0270409 + 0.220469i
\(100\) −1.41437 4.79578i −0.141437 0.479578i
\(101\) −13.1130 + 7.57082i −1.30480 + 0.753325i −0.981223 0.192878i \(-0.938218\pi\)
−0.323574 + 0.946203i \(0.604884\pi\)
\(102\) −1.60710 3.22281i −0.159126 0.319106i
\(103\) 6.38269 0.628905 0.314453 0.949273i \(-0.398179\pi\)
0.314453 + 0.949273i \(0.398179\pi\)
\(104\) 4.13269 2.38601i 0.405243 0.233967i
\(105\) 1.75129 9.65555i 0.170908 0.942285i
\(106\) 12.7623 1.23958
\(107\) 3.06876i 0.296668i 0.988937 + 0.148334i \(0.0473911\pi\)
−0.988937 + 0.148334i \(0.952609\pi\)
\(108\) 4.89777 1.73547i 0.471288 0.166996i
\(109\) 4.74852 + 2.74156i 0.454826 + 0.262594i 0.709866 0.704337i \(-0.248755\pi\)
−0.255040 + 0.966930i \(0.582089\pi\)
\(110\) −1.31931 0.986400i −0.125792 0.0940496i
\(111\) 1.08805 17.8086i 0.103273 1.69032i
\(112\) −2.19427 1.26686i −0.207339 0.119707i
\(113\) 3.44589i 0.324162i 0.986777 + 0.162081i \(0.0518205\pi\)
−0.986777 + 0.162081i \(0.948179\pi\)
\(114\) 6.89324 + 3.07949i 0.645611 + 0.288421i
\(115\) 12.8428 5.50866i 1.19760 0.513685i
\(116\) −1.30852 + 2.26642i −0.121493 + 0.210432i
\(117\) −5.59545 13.1773i −0.517300 1.21824i
\(118\) 4.49814 2.59700i 0.414088 0.239074i
\(119\) 4.56234 + 2.63407i 0.418229 + 0.241465i
\(120\) −0.691189 + 3.81081i −0.0630967 + 0.347878i
\(121\) 10.4573 0.950662
\(122\) 10.1439i 0.918384i
\(123\) 3.54212 + 2.34414i 0.319382 + 0.211364i
\(124\) 4.55951 2.63243i 0.409456 0.236400i
\(125\) 3.88841 10.4824i 0.347790 0.937572i
\(126\) −4.57371 + 6.07117i −0.407459 + 0.540863i
\(127\) −5.90757 10.2322i −0.524212 0.907962i −0.999603 0.0281869i \(-0.991027\pi\)
0.475391 0.879775i \(-0.342307\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) −8.23632 + 12.4455i −0.725168 + 1.09576i
\(130\) 10.5958 + 1.26049i 0.929317 + 0.110552i
\(131\) −12.9619 7.48358i −1.13249 0.653844i −0.187930 0.982182i \(-0.560178\pi\)
−0.944560 + 0.328339i \(0.893511\pi\)
\(132\) 0.569417 + 1.14189i 0.0495614 + 0.0993885i
\(133\) −10.8952 + 1.80838i −0.944734 + 0.156806i
\(134\) 5.48800i 0.474091i
\(135\) 11.0950 + 3.44992i 0.954902 + 0.296922i
\(136\) −1.80064 1.03960i −0.154404 0.0891451i
\(137\) 10.8434 + 18.7813i 0.926416 + 1.60460i 0.789269 + 0.614048i \(0.210460\pi\)
0.137147 + 0.990551i \(0.456207\pi\)
\(138\) −10.8044 0.660113i −0.919728 0.0561925i
\(139\) 6.33726 + 10.9765i 0.537519 + 0.931011i 0.999037 + 0.0438798i \(0.0139719\pi\)
−0.461517 + 0.887131i \(0.652695\pi\)
\(140\) −2.23336 5.20682i −0.188753 0.440057i
\(141\) 2.50884 1.25106i 0.211282 0.105359i
\(142\) −0.315350 + 0.182067i −0.0264636 + 0.0152787i
\(143\) 3.04452 1.75775i 0.254595 0.146991i
\(144\) 1.80513 2.39614i 0.150428 0.199679i
\(145\) −5.37802 + 2.30679i −0.446620 + 0.191569i
\(146\) 1.18451 + 2.05162i 0.0980304 + 0.169794i
\(147\) −0.0612865 + 1.00310i −0.00505482 + 0.0827345i
\(148\) −5.15050 8.92092i −0.423368 0.733295i
\(149\) 7.04652 + 4.06831i 0.577274 + 0.333289i 0.760049 0.649866i \(-0.225175\pi\)
−0.182775 + 0.983155i \(0.558508\pi\)
\(150\) −6.34034 + 5.89916i −0.517687 + 0.481664i
\(151\) 12.8411i 1.04499i −0.852641 0.522496i \(-0.825001\pi\)
0.852641 0.522496i \(-0.174999\pi\)
\(152\) 4.30007 0.713722i 0.348782 0.0578905i
\(153\) −3.75324 + 4.98207i −0.303431 + 0.402776i
\(154\) −1.61650 0.933288i −0.130261 0.0752065i
\(155\) 11.6902 + 1.39067i 0.938977 + 0.111702i
\(156\) −6.89268 4.56152i −0.551856 0.365214i
\(157\) 13.5004 + 7.79447i 1.07745 + 0.622067i 0.930208 0.367034i \(-0.119627\pi\)
0.147243 + 0.989100i \(0.452960\pi\)
\(158\) 0.161871 + 0.280369i 0.0128778 + 0.0223049i
\(159\) −9.86448 19.7818i −0.782304 1.56880i
\(160\) 0.881452 + 2.05500i 0.0696849 + 0.162462i
\(161\) 13.7132 7.91731i 1.08075 0.623971i
\(162\) −6.47570 6.25023i −0.508779 0.491064i
\(163\) 15.4275i 1.20838i −0.796842 0.604188i \(-0.793497\pi\)
0.796842 0.604188i \(-0.206503\pi\)
\(164\) 2.45232 0.191494
\(165\) −0.509193 + 2.80739i −0.0396406 + 0.218555i
\(166\) −10.9750 6.33644i −0.851828 0.491803i
\(167\) 14.1230 8.15391i 1.09287 0.630969i 0.158531 0.987354i \(-0.449324\pi\)
0.934339 + 0.356385i \(0.115991\pi\)
\(168\) −0.267628 + 4.38038i −0.0206479 + 0.337953i
\(169\) −4.88607 + 8.46293i −0.375852 + 0.650994i
\(170\) −1.83272 4.27277i −0.140563 0.327707i
\(171\) −0.554777 13.0649i −0.0424249 0.999100i
\(172\) 8.61640i 0.656995i
\(173\) −3.13191 1.80821i −0.238115 0.137476i 0.376195 0.926540i \(-0.377232\pi\)
−0.614310 + 0.789065i \(0.710566\pi\)
\(174\) 4.52440 + 0.276427i 0.342994 + 0.0209559i
\(175\) 2.97209 12.3151i 0.224669 0.930932i
\(176\) 0.637994 + 0.368346i 0.0480906 + 0.0277651i
\(177\) −7.50220 4.96489i −0.563900 0.373184i
\(178\) 12.3783i 0.927789i
\(179\) −3.21520 −0.240315 −0.120158 0.992755i \(-0.538340\pi\)
−0.120158 + 0.992755i \(0.538340\pi\)
\(180\) 6.44108 1.87416i 0.480090 0.139692i
\(181\) −8.85537 + 5.11265i −0.658214 + 0.380020i −0.791596 0.611044i \(-0.790750\pi\)
0.133382 + 0.991065i \(0.457416\pi\)
\(182\) 12.0910 0.896244
\(183\) −15.7232 + 7.84060i −1.16230 + 0.579594i
\(184\) −5.41225 + 3.12477i −0.398997 + 0.230361i
\(185\) 2.72093 22.8724i 0.200047 1.68162i
\(186\) −7.60455 5.03263i −0.557593 0.369010i
\(187\) −1.32652 0.765866i −0.0970047 0.0560057i
\(188\) 0.809291 1.40173i 0.0590236 0.102232i
\(189\) 12.9456 + 2.39670i 0.941657 + 0.174335i
\(190\) 8.65648 + 4.47944i 0.628007 + 0.324973i
\(191\) 13.0698i 0.945701i 0.881143 + 0.472850i \(0.156775\pi\)
−0.881143 + 0.472850i \(0.843225\pi\)
\(192\) 0.105626 1.72883i 0.00762290 0.124767i
\(193\) −10.6073 + 18.3725i −0.763534 + 1.32248i 0.177485 + 0.984124i \(0.443204\pi\)
−0.941018 + 0.338355i \(0.890129\pi\)
\(194\) −10.2264 + 5.90419i −0.734210 + 0.423896i
\(195\) −6.23615 17.3981i −0.446580 1.24590i
\(196\) 0.290111 + 0.502487i 0.0207222 + 0.0358919i
\(197\) 26.7052 1.90267 0.951333 0.308166i \(-0.0997151\pi\)
0.951333 + 0.308166i \(0.0997151\pi\)
\(198\) 1.32982 1.76522i 0.0945065 0.125449i
\(199\) −1.29996 2.25160i −0.0921519 0.159612i 0.816264 0.577678i \(-0.196041\pi\)
−0.908416 + 0.418067i \(0.862708\pi\)
\(200\) −1.17301 + 4.86046i −0.0829442 + 0.343686i
\(201\) 8.50652 4.24189i 0.600004 0.299200i
\(202\) 15.1416 1.06536
\(203\) −5.74249 + 3.31543i −0.403044 + 0.232697i
\(204\) −0.219618 + 3.59458i −0.0153763 + 0.251671i
\(205\) 4.39176 + 3.28356i 0.306734 + 0.229333i
\(206\) −5.52757 3.19134i −0.385124 0.222352i
\(207\) 7.32792 + 17.2572i 0.509326 + 1.19946i
\(208\) −4.77202 −0.330880
\(209\) 3.16782 0.525793i 0.219123 0.0363699i
\(210\) −6.34443 + 7.48631i −0.437808 + 0.516604i
\(211\) 4.99550 + 2.88415i 0.343904 + 0.198553i 0.661997 0.749506i \(-0.269709\pi\)
−0.318093 + 0.948060i \(0.603042\pi\)
\(212\) −11.0525 6.38115i −0.759088 0.438259i
\(213\) 0.525954 + 0.348072i 0.0360378 + 0.0238495i
\(214\) 1.53438 2.65762i 0.104888 0.181671i
\(215\) −11.5370 + 15.4308i −0.786818 + 1.05237i
\(216\) −5.10933 0.945920i −0.347646 0.0643617i
\(217\) 13.3397 0.905561
\(218\) −2.74156 4.74852i −0.185682 0.321611i
\(219\) 2.26451 3.42179i 0.153021 0.231223i
\(220\) 0.649358 + 1.51390i 0.0437797 + 0.102067i
\(221\) 9.92200 0.667426
\(222\) −9.84660 + 14.8787i −0.660861 + 0.998593i
\(223\) −10.6834 + 18.5042i −0.715412 + 1.23913i 0.247388 + 0.968917i \(0.420428\pi\)
−0.962800 + 0.270214i \(0.912906\pi\)
\(224\) 1.26686 + 2.19427i 0.0846459 + 0.146611i
\(225\) 14.0445 + 5.26798i 0.936301 + 0.351199i
\(226\) 1.72294 2.98423i 0.114608 0.198508i
\(227\) 15.4916i 1.02822i −0.857725 0.514108i \(-0.828123\pi\)
0.857725 0.514108i \(-0.171877\pi\)
\(228\) −4.42998 6.11354i −0.293382 0.404879i
\(229\) −11.7275 −0.774978 −0.387489 0.921874i \(-0.626658\pi\)
−0.387489 + 0.921874i \(0.626658\pi\)
\(230\) −13.8765 1.65076i −0.914991 0.108848i
\(231\) −0.197159 + 3.22699i −0.0129721 + 0.212320i
\(232\) 2.26642 1.30852i 0.148798 0.0859084i
\(233\) −11.1235 + 19.2664i −0.728724 + 1.26219i 0.228699 + 0.973497i \(0.426553\pi\)
−0.957423 + 0.288689i \(0.906781\pi\)
\(234\) −1.74283 + 14.2096i −0.113932 + 0.928909i
\(235\) 3.32619 1.42670i 0.216977 0.0930678i
\(236\) −5.19401 −0.338101
\(237\) 0.309461 0.467611i 0.0201017 0.0303746i
\(238\) −2.63407 4.56234i −0.170741 0.295733i
\(239\) 2.85417i 0.184621i 0.995730 + 0.0923105i \(0.0294252\pi\)
−0.995730 + 0.0923105i \(0.970575\pi\)
\(240\) 2.50399 2.95466i 0.161632 0.190723i
\(241\) −2.89433 + 1.67104i −0.186440 + 0.107641i −0.590315 0.807173i \(-0.700996\pi\)
0.403875 + 0.914814i \(0.367663\pi\)
\(242\) −9.05627 5.22864i −0.582159 0.336110i
\(243\) −4.68267 + 14.8685i −0.300394 + 0.953815i
\(244\) −5.07194 + 8.78486i −0.324698 + 0.562393i
\(245\) −0.153261 + 1.28833i −0.00979148 + 0.0823084i
\(246\) −1.89549 3.80115i −0.120852 0.242352i
\(247\) −16.0679 + 13.2096i −1.02238 + 0.840506i
\(248\) −5.26487 −0.334319
\(249\) −1.33859 + 21.9092i −0.0848295 + 1.38844i
\(250\) −8.60865 + 7.13380i −0.544459 + 0.451181i
\(251\) 4.22850 2.44132i 0.266900 0.154095i −0.360578 0.932729i \(-0.617420\pi\)
0.627478 + 0.778634i \(0.284087\pi\)
\(252\) 6.99654 2.97094i 0.440740 0.187151i
\(253\) −3.98716 + 2.30199i −0.250671 + 0.144725i
\(254\) 11.8151i 0.741348i
\(255\) −5.20631 + 6.14334i −0.326032 + 0.384711i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 2.07388 1.19736i 0.129365 0.0746890i −0.433921 0.900951i \(-0.642870\pi\)
0.563286 + 0.826262i \(0.309537\pi\)
\(258\) 13.3556 6.65995i 0.831484 0.414631i
\(259\) 26.0999i 1.62177i
\(260\) −8.54602 6.38954i −0.530002 0.396262i
\(261\) −3.06862 7.22658i −0.189943 0.447314i
\(262\) 7.48358 + 12.9619i 0.462337 + 0.800792i
\(263\) −4.58909 + 7.94853i −0.282975 + 0.490127i −0.972116 0.234500i \(-0.924655\pi\)
0.689141 + 0.724627i \(0.257988\pi\)
\(264\) 0.0778138 1.27361i 0.00478911 0.0783854i
\(265\) −11.2494 26.2266i −0.691043 1.61109i
\(266\) 10.3397 + 3.88150i 0.633969 + 0.237990i
\(267\) −19.1866 + 9.56763i −1.17420 + 0.585530i
\(268\) 2.74400 4.75275i 0.167617 0.290320i
\(269\) −3.52258 + 6.10129i −0.214775 + 0.372002i −0.953203 0.302331i \(-0.902235\pi\)
0.738428 + 0.674333i \(0.235569\pi\)
\(270\) −7.88355 8.53520i −0.479778 0.519436i
\(271\) −5.46433 + 9.46449i −0.331934 + 0.574927i −0.982891 0.184188i \(-0.941035\pi\)
0.650957 + 0.759115i \(0.274368\pi\)
\(272\) 1.03960 + 1.80064i 0.0630351 + 0.109180i
\(273\) −9.34560 18.7413i −0.565621 1.13427i
\(274\) 21.6868i 1.31015i
\(275\) −0.864146 + 3.58066i −0.0521099 + 0.215922i
\(276\) 9.02679 + 5.97385i 0.543349 + 0.359584i
\(277\) 0.531383i 0.0319277i 0.999873 + 0.0159638i \(0.00508166\pi\)
−0.999873 + 0.0159638i \(0.994918\pi\)
\(278\) 12.6745i 0.760167i
\(279\) −1.92283 + 15.6771i −0.115117 + 0.938565i
\(280\) −0.669264 + 5.62592i −0.0399962 + 0.336213i
\(281\) −1.83424 3.17700i −0.109422 0.189524i 0.806114 0.591760i \(-0.201567\pi\)
−0.915536 + 0.402236i \(0.868233\pi\)
\(282\) −2.79825 0.170964i −0.166633 0.0101808i
\(283\) 17.1468 + 9.89972i 1.01927 + 0.588477i 0.913893 0.405955i \(-0.133061\pi\)
0.105379 + 0.994432i \(0.466394\pi\)
\(284\) 0.364134 0.0216074
\(285\) 0.252304 16.8801i 0.0149452 0.999888i
\(286\) −3.51550 −0.207876
\(287\) 5.38106 + 3.10675i 0.317634 + 0.183386i
\(288\) −2.76136 + 1.17255i −0.162715 + 0.0690935i
\(289\) 6.33846 + 10.9785i 0.372850 + 0.645796i
\(290\) 5.81090 + 0.691269i 0.341228 + 0.0405927i
\(291\) 17.0560 + 11.2875i 0.999839 + 0.661685i
\(292\) 2.36901i 0.138636i
\(293\) 5.12906i 0.299643i 0.988713 + 0.149821i \(0.0478699\pi\)
−0.988713 + 0.149821i \(0.952130\pi\)
\(294\) 0.554627 0.838069i 0.0323465 0.0488772i
\(295\) −9.30175 6.95457i −0.541569 0.404911i
\(296\) 10.3010i 0.598733i
\(297\) −3.76400 0.696851i −0.218409 0.0404354i
\(298\) −4.06831 7.04652i −0.235671 0.408194i
\(299\) 14.9114 25.8274i 0.862350 1.49363i
\(300\) 8.44048 1.93865i 0.487311 0.111928i
\(301\) −10.9158 + 18.9067i −0.629177 + 1.08977i
\(302\) −6.42054 + 11.1207i −0.369461 + 0.639925i
\(303\) −11.7036 23.4699i −0.672352 1.34831i
\(304\) −4.08083 1.53193i −0.234052 0.0878624i
\(305\) −20.8457 + 8.94135i −1.19362 + 0.511980i
\(306\) 5.74143 2.43798i 0.328216 0.139370i
\(307\) −10.6455 + 18.4385i −0.607571 + 1.05234i 0.384069 + 0.923304i \(0.374523\pi\)
−0.991640 + 0.129039i \(0.958811\pi\)
\(308\) 0.933288 + 1.61650i 0.0531790 + 0.0921088i
\(309\) −0.674178 + 11.0346i −0.0383526 + 0.627735i
\(310\) −9.42865 7.04945i −0.535511 0.400382i
\(311\) 18.5155i 1.04992i 0.851128 + 0.524959i \(0.175919\pi\)
−0.851128 + 0.524959i \(0.824081\pi\)
\(312\) 3.68848 + 7.39673i 0.208819 + 0.418757i
\(313\) −6.00769 + 3.46854i −0.339575 + 0.196054i −0.660084 0.751192i \(-0.729479\pi\)
0.320509 + 0.947245i \(0.396146\pi\)
\(314\) −7.79447 13.5004i −0.439868 0.761873i
\(315\) 16.5078 + 4.04755i 0.930109 + 0.228053i
\(316\) 0.323742i 0.0182119i
\(317\) −23.7623 + 13.7191i −1.33462 + 0.770544i −0.986004 0.166722i \(-0.946682\pi\)
−0.348617 + 0.937265i \(0.613349\pi\)
\(318\) −1.34803 + 22.0638i −0.0755938 + 1.23728i
\(319\) 1.66965 0.963974i 0.0934825 0.0539722i
\(320\) 0.264142 2.22041i 0.0147660 0.124125i
\(321\) −5.30535 0.324141i −0.296116 0.0180918i
\(322\) −15.8346 −0.882428
\(323\) 8.48488 + 3.18520i 0.472111 + 0.177229i
\(324\) 2.48300 + 8.65071i 0.137945 + 0.480595i
\(325\) −6.74941 22.8856i −0.374390 1.26946i
\(326\) −7.71376 + 13.3606i −0.427226 + 0.739977i
\(327\) −5.24125 + 7.91980i −0.289842 + 0.437966i
\(328\) −2.12377 1.22616i −0.117266 0.0677033i
\(329\) 3.55161 2.05052i 0.195807 0.113049i
\(330\) 1.84467 2.17667i 0.101546 0.119822i
\(331\) 21.6261i 1.18868i −0.804214 0.594340i \(-0.797413\pi\)
0.804214 0.594340i \(-0.202587\pi\)
\(332\) 6.33644 + 10.9750i 0.347757 + 0.602334i
\(333\) 30.6731 + 3.76211i 1.68088 + 0.206162i
\(334\) −16.3078 −0.892324
\(335\) 11.2779 4.83741i 0.616176 0.264296i
\(336\) 2.42196 3.65970i 0.132129 0.199653i
\(337\) 17.8583 30.9316i 0.972806 1.68495i 0.285812 0.958286i \(-0.407737\pi\)
0.686994 0.726663i \(-0.258930\pi\)
\(338\) 8.46293 4.88607i 0.460323 0.265767i
\(339\) −5.95734 0.363975i −0.323558 0.0197684i
\(340\) −0.549205 + 4.61669i −0.0297848 + 0.250375i
\(341\) −3.87858 −0.210037
\(342\) −6.05201 + 11.5919i −0.327255 + 0.626821i
\(343\) 19.2062i 1.03704i
\(344\) 4.30820 7.46202i 0.232283 0.402325i
\(345\) 8.16699 + 22.7849i 0.439696 + 1.22670i
\(346\) 1.80821 + 3.13191i 0.0972100 + 0.168373i
\(347\) 11.6976 20.2609i 0.627961 1.08766i −0.359999 0.932953i \(-0.617223\pi\)
0.987960 0.154708i \(-0.0494436\pi\)
\(348\) −3.78003 2.50159i −0.202631 0.134099i
\(349\) 19.1429 1.02469 0.512347 0.858778i \(-0.328776\pi\)
0.512347 + 0.858778i \(0.328776\pi\)
\(350\) −8.73144 + 9.17913i −0.466715 + 0.490645i
\(351\) 23.3722 8.28171i 1.24752 0.442045i
\(352\) −0.368346 0.637994i −0.0196329 0.0340052i
\(353\) −26.2810 −1.39880 −0.699399 0.714732i \(-0.746549\pi\)
−0.699399 + 0.714732i \(0.746549\pi\)
\(354\) 4.01465 + 8.05083i 0.213376 + 0.427897i
\(355\) 0.652115 + 0.487561i 0.0346106 + 0.0258771i
\(356\) −6.18913 + 10.7199i −0.328023 + 0.568153i
\(357\) −5.03575 + 7.60927i −0.266520 + 0.402725i
\(358\) 2.78444 + 1.60760i 0.147162 + 0.0849642i
\(359\) −18.7474 10.8238i −0.989450 0.571259i −0.0843398 0.996437i \(-0.526878\pi\)
−0.905110 + 0.425178i \(0.860211\pi\)
\(360\) −6.51522 1.59747i −0.343382 0.0841939i
\(361\) −17.9812 + 6.13811i −0.946379 + 0.323058i
\(362\) 10.2253 0.537430
\(363\) −1.10456 + 18.0788i −0.0579744 + 0.948893i
\(364\) −10.4711 6.04550i −0.548835 0.316870i
\(365\) 3.17201 4.24257i 0.166031 0.222066i
\(366\) 17.5370 + 1.07146i 0.916675 + 0.0560060i
\(367\) 31.0887 17.9491i 1.62282 0.936935i 0.636658 0.771146i \(-0.280316\pi\)
0.986161 0.165789i \(-0.0530171\pi\)
\(368\) 6.24953 0.325779
\(369\) −4.42676 + 5.87610i −0.230448 + 0.305898i
\(370\) −13.7926 + 18.4477i −0.717044 + 0.959048i
\(371\) −16.1681 28.0040i −0.839406 1.45389i
\(372\) 4.06942 + 8.16066i 0.210990 + 0.423110i
\(373\) 6.39286 0.331010 0.165505 0.986209i \(-0.447075\pi\)
0.165505 + 0.986209i \(0.447075\pi\)
\(374\) 0.765866 + 1.32652i 0.0396020 + 0.0685927i
\(375\) 17.7115 + 7.82961i 0.914618 + 0.404319i
\(376\) −1.40173 + 0.809291i −0.0722889 + 0.0417360i
\(377\) −6.24427 + 10.8154i −0.321596 + 0.557021i
\(378\) −10.0129 8.54843i −0.515008 0.439684i
\(379\) 4.61075i 0.236838i −0.992964 0.118419i \(-0.962217\pi\)
0.992964 0.118419i \(-0.0377826\pi\)
\(380\) −5.25701 8.20755i −0.269679 0.421038i
\(381\) 18.3137 9.13238i 0.938240 0.467866i
\(382\) 6.53492 11.3188i 0.334356 0.579121i
\(383\) −6.52926 3.76967i −0.333630 0.192621i 0.323822 0.946118i \(-0.395032\pi\)
−0.657451 + 0.753497i \(0.728366\pi\)
\(384\) −0.955888 + 1.44440i −0.0487800 + 0.0737090i
\(385\) −0.493041 + 4.14457i −0.0251277 + 0.211227i
\(386\) 18.3725 10.6073i 0.935134 0.539900i
\(387\) −20.6461 15.5537i −1.04950 0.790641i
\(388\) 11.8084 0.599480
\(389\) 10.1328 5.85016i 0.513752 0.296615i −0.220623 0.975359i \(-0.570809\pi\)
0.734375 + 0.678744i \(0.237476\pi\)
\(390\) −3.29837 + 18.1852i −0.167019 + 0.920845i
\(391\) −12.9940 −0.657137
\(392\) 0.580221i 0.0293056i
\(393\) 14.3069 21.6185i 0.721690 1.09051i
\(394\) −23.1274 13.3526i −1.16514 0.672694i
\(395\) 0.433477 0.579777i 0.0218106 0.0291718i
\(396\) −2.03427 + 0.863811i −0.102226 + 0.0434081i
\(397\) 18.2960 + 10.5632i 0.918249 + 0.530152i 0.883076 0.469230i \(-0.155468\pi\)
0.0351733 + 0.999381i \(0.488802\pi\)
\(398\) 2.59993i 0.130322i
\(399\) −1.97556 19.0269i −0.0989015 0.952539i
\(400\) 3.44608 3.62278i 0.172304 0.181139i
\(401\) 12.1204 20.9931i 0.605262 1.04835i −0.386748 0.922186i \(-0.626402\pi\)
0.992010 0.126160i \(-0.0402651\pi\)
\(402\) −9.48781 0.579676i −0.473209 0.0289116i
\(403\) 21.7581 12.5620i 1.08385 0.625759i
\(404\) −13.1130 7.57082i −0.652398 0.376662i
\(405\) −7.13623 + 18.8169i −0.354602 + 0.935017i
\(406\) 6.63086 0.329084
\(407\) 7.58866i 0.376156i
\(408\) 1.98749 3.00319i 0.0983953 0.148680i
\(409\) 28.4205 16.4086i 1.40530 0.811352i 0.410372 0.911918i \(-0.365399\pi\)
0.994930 + 0.100566i \(0.0320655\pi\)
\(410\) −2.16160 5.03952i −0.106754 0.248884i
\(411\) −33.6150 + 16.7626i −1.65811 + 0.826838i
\(412\) 3.19134 + 5.52757i 0.157226 + 0.272324i
\(413\) −11.3971 6.58010i −0.560813 0.323786i
\(414\) 2.28244 18.6091i 0.112176 0.914589i
\(415\) −3.34744 + 28.1390i −0.164320 + 1.38129i
\(416\) 4.13269 + 2.38601i 0.202622 + 0.116984i
\(417\) −19.6458 + 9.79663i −0.962058 + 0.479743i
\(418\) −3.00631 1.12856i −0.147044 0.0551998i
\(419\) 14.0621i 0.686977i −0.939157 0.343489i \(-0.888391\pi\)
0.939157 0.343489i \(-0.111609\pi\)
\(420\) 9.23760 3.31112i 0.450749 0.161566i
\(421\) −3.61816 2.08894i −0.176338 0.101809i 0.409233 0.912430i \(-0.365796\pi\)
−0.585571 + 0.810621i \(0.699130\pi\)
\(422\) −2.88415 4.99550i −0.140398 0.243177i
\(423\) 1.89788 + 4.46949i 0.0922779 + 0.217314i
\(424\) 6.38115 + 11.0525i 0.309896 + 0.536756i
\(425\) −7.16511 + 7.53249i −0.347559 + 0.365379i
\(426\) −0.281454 0.564416i −0.0136365 0.0273460i
\(427\) −22.2585 + 12.8509i −1.07716 + 0.621900i
\(428\) −2.65762 + 1.53438i −0.128461 + 0.0741670i
\(429\) 2.71727 + 5.44911i 0.131191 + 0.263085i
\(430\) 17.7067 7.59495i 0.853895 0.366261i
\(431\) 14.0803 + 24.3877i 0.678222 + 1.17472i 0.975516 + 0.219929i \(0.0705826\pi\)
−0.297294 + 0.954786i \(0.596084\pi\)
\(432\) 3.95185 + 3.37385i 0.190133 + 0.162325i
\(433\) 0.681161 + 1.17981i 0.0327345 + 0.0566978i 0.881929 0.471383i \(-0.156245\pi\)
−0.849194 + 0.528081i \(0.822912\pi\)
\(434\) −11.5526 6.66987i −0.554541 0.320164i
\(435\) −3.41998 9.54132i −0.163976 0.457471i
\(436\) 5.48312i 0.262594i
\(437\) 21.0428 17.2996i 1.00662 0.827550i
\(438\) −3.67202 + 1.83110i −0.175456 + 0.0874934i
\(439\) −23.6014 13.6262i −1.12643 0.650345i −0.183396 0.983039i \(-0.558709\pi\)
−0.943035 + 0.332694i \(0.892042\pi\)
\(440\) 0.194591 1.63576i 0.00927678 0.0779817i
\(441\) −1.72772 0.211907i −0.0822723 0.0100908i
\(442\) −8.59270 4.96100i −0.408713 0.235971i
\(443\) −1.06718 1.84841i −0.0507032 0.0878205i 0.839560 0.543267i \(-0.182813\pi\)
−0.890263 + 0.455447i \(0.849480\pi\)
\(444\) 15.9668 7.96204i 0.757749 0.377862i
\(445\) −25.4374 + 10.9108i −1.20585 + 0.517223i
\(446\) 18.5042 10.6834i 0.876198 0.505873i
\(447\) −7.77770 + 11.7525i −0.367873 + 0.555874i
\(448\) 2.53373i 0.119707i
\(449\) −26.4135 −1.24653 −0.623266 0.782010i \(-0.714195\pi\)
−0.623266 + 0.782010i \(0.714195\pi\)
\(450\) −9.52892 11.5845i −0.449197 0.546097i
\(451\) −1.56456 0.903301i −0.0736724 0.0425348i
\(452\) −2.98423 + 1.72294i −0.140366 + 0.0810404i
\(453\) 22.2000 + 1.35635i 1.04305 + 0.0637270i
\(454\) −7.74582 + 13.4162i −0.363529 + 0.629652i
\(455\) −10.6576 24.8470i −0.499637 1.16485i
\(456\) 0.779703 + 7.50946i 0.0365129 + 0.351663i
\(457\) 9.71282i 0.454347i −0.973854 0.227173i \(-0.927052\pi\)
0.973854 0.227173i \(-0.0729484\pi\)
\(458\) 10.1564 + 5.86377i 0.474575 + 0.273996i
\(459\) −8.21670 7.01493i −0.383523 0.327429i
\(460\) 11.1920 + 8.36787i 0.521832 + 0.390154i
\(461\) −14.1536 8.17157i −0.659197 0.380588i 0.132774 0.991146i \(-0.457612\pi\)
−0.791971 + 0.610559i \(0.790945\pi\)
\(462\) 1.78424 2.69607i 0.0830103 0.125433i
\(463\) 31.7195i 1.47413i −0.675821 0.737066i \(-0.736211\pi\)
0.675821 0.737066i \(-0.263789\pi\)
\(464\) −2.61704 −0.121493
\(465\) −3.63902 + 20.0634i −0.168756 + 0.930418i
\(466\) 19.2664 11.1235i 0.892501 0.515285i
\(467\) 28.7636 1.33102 0.665510 0.746389i \(-0.268214\pi\)
0.665510 + 0.746389i \(0.268214\pi\)
\(468\) 8.61412 11.4344i 0.398188 0.528557i
\(469\) 12.0422 6.95255i 0.556056 0.321039i
\(470\) −3.59392 0.427536i −0.165775 0.0197208i
\(471\) −14.9013 + 22.5166i −0.686615 + 1.03751i
\(472\) 4.49814 + 2.59700i 0.207044 + 0.119537i
\(473\) 3.17382 5.49721i 0.145932 0.252762i
\(474\) −0.501807 + 0.250233i −0.0230488 + 0.0114936i
\(475\) 1.57500 21.7375i 0.0722661 0.997385i
\(476\) 5.26814i 0.241465i
\(477\) 35.2413 14.9645i 1.61359 0.685178i
\(478\) 1.42709 2.47178i 0.0652734 0.113057i
\(479\) −7.51093 + 4.33644i −0.343183 + 0.198137i −0.661679 0.749787i \(-0.730156\pi\)
0.318496 + 0.947924i \(0.396822\pi\)
\(480\) −3.64585 + 1.30682i −0.166410 + 0.0596477i
\(481\) −24.5783 42.5708i −1.12067 1.94106i
\(482\) 3.34208 0.152228
\(483\) 12.2392 + 24.5440i 0.556902 + 1.11679i
\(484\) 5.22864 + 9.05627i 0.237666 + 0.411649i
\(485\) 21.1472 + 15.8110i 0.960244 + 0.717938i
\(486\) 11.4896 10.5352i 0.521177 0.477885i
\(487\) −28.7235 −1.30159 −0.650793 0.759255i \(-0.725563\pi\)
−0.650793 + 0.759255i \(0.725563\pi\)
\(488\) 8.78486 5.07194i 0.397672 0.229596i
\(489\) 26.6715 + 1.62955i 1.20613 + 0.0736907i
\(490\) 0.776893 1.03910i 0.0350965 0.0469416i
\(491\) −13.2797 7.66703i −0.599304 0.346008i 0.169464 0.985536i \(-0.445796\pi\)
−0.768768 + 0.639528i \(0.779130\pi\)
\(492\) −0.259029 + 4.23963i −0.0116779 + 0.191137i
\(493\) 5.44135 0.245066
\(494\) 20.5200 3.40589i 0.923239 0.153238i
\(495\) −4.79971 1.17684i −0.215731 0.0528951i
\(496\) 4.55951 + 2.63243i 0.204728 + 0.118200i
\(497\) 0.799010 + 0.461309i 0.0358405 + 0.0206925i
\(498\) 12.1139 18.3047i 0.542835 0.820251i
\(499\) 14.2737 24.7228i 0.638978 1.10674i −0.346679 0.937984i \(-0.612691\pi\)
0.985657 0.168759i \(-0.0539759\pi\)
\(500\) 11.0222 1.87372i 0.492928 0.0837954i
\(501\) 12.6049 + 25.2775i 0.563148 + 1.12931i
\(502\) −4.88265 −0.217923
\(503\) −7.40272 12.8219i −0.330071 0.571700i 0.652454 0.757828i \(-0.273739\pi\)
−0.982525 + 0.186128i \(0.940406\pi\)
\(504\) −7.54465 0.925364i −0.336065 0.0412190i
\(505\) −13.3466 31.1161i −0.593917 1.38465i
\(506\) 4.60398 0.204672
\(507\) −14.1148 9.34108i −0.626862 0.414852i
\(508\) 5.90757 10.2322i 0.262106 0.453981i
\(509\) 8.13316 + 14.0870i 0.360496 + 0.624397i 0.988043 0.154182i \(-0.0492741\pi\)
−0.627546 + 0.778579i \(0.715941\pi\)
\(510\) 7.58047 2.71714i 0.335669 0.120317i
\(511\) 3.00122 5.19826i 0.132766 0.229957i
\(512\) 1.00000i 0.0441942i
\(513\) 22.6456 + 0.420882i 0.999827 + 0.0185824i
\(514\) −2.39471 −0.105626
\(515\) −1.68594 + 14.1722i −0.0742913 + 0.624502i
\(516\) −14.8963 0.910116i −0.655772 0.0400656i
\(517\) −1.03265 + 0.596198i −0.0454157 + 0.0262208i
\(518\) −13.0500 + 22.6032i −0.573382 + 0.993127i
\(519\) 3.45690 5.22354i 0.151741 0.229288i
\(520\) 4.20630 + 9.80651i 0.184459 + 0.430044i
\(521\) 28.1371 1.23271 0.616355 0.787469i \(-0.288609\pi\)
0.616355 + 0.787469i \(0.288609\pi\)
\(522\) −0.955789 + 7.79271i −0.0418337 + 0.341078i
\(523\) −2.56924 4.45006i −0.112345 0.194588i 0.804370 0.594128i \(-0.202503\pi\)
−0.916715 + 0.399541i \(0.869170\pi\)
\(524\) 14.9672i 0.653844i
\(525\) 20.9767 + 6.43901i 0.915499 + 0.281022i
\(526\) 7.94853 4.58909i 0.346572 0.200094i
\(527\) −9.48015 5.47337i −0.412962 0.238424i
\(528\) −0.704195 + 1.06407i −0.0306461 + 0.0463079i
\(529\) −8.02832 + 13.9055i −0.349057 + 0.604585i
\(530\) −3.37106 + 28.3376i −0.146430 + 1.23091i
\(531\) 9.37587 12.4456i 0.406878 0.540093i
\(532\) −7.01371 8.53134i −0.304083 0.369880i
\(533\) 11.7025 0.506892
\(534\) 21.3999 + 1.30747i 0.926063 + 0.0565796i
\(535\) −6.81390 0.810588i −0.294591 0.0350448i
\(536\) −4.75275 + 2.74400i −0.205288 + 0.118523i
\(537\) 0.339608 5.55852i 0.0146552 0.239868i
\(538\) 6.10129 3.52258i 0.263045 0.151869i
\(539\) 0.427444i 0.0184113i
\(540\) 2.55976 + 11.3335i 0.110154 + 0.487715i
\(541\) 12.9388 + 22.4107i 0.556282 + 0.963510i 0.997803 + 0.0662582i \(0.0211061\pi\)
−0.441520 + 0.897251i \(0.645561\pi\)
\(542\) 9.46449 5.46433i 0.406535 0.234713i
\(543\) −7.90353 15.8494i −0.339173 0.680164i
\(544\) 2.07920i 0.0891451i
\(545\) −7.34168 + 9.81952i −0.314483 + 0.420622i
\(546\) −1.27712 + 20.9032i −0.0546558 + 0.894576i
\(547\) 20.6948 + 35.8445i 0.884848 + 1.53260i 0.845888 + 0.533360i \(0.179071\pi\)
0.0389597 + 0.999241i \(0.487596\pi\)
\(548\) −10.8434 + 18.7813i −0.463208 + 0.802299i
\(549\) −11.8943 28.0109i −0.507635 1.19548i
\(550\) 2.53870 2.66887i 0.108251 0.113801i
\(551\) −8.81184 + 7.24431i −0.375397 + 0.308618i
\(552\) −4.83050 9.68690i −0.205600 0.412302i
\(553\) 0.410137 0.710378i 0.0174408 0.0302084i
\(554\) 0.265691 0.460191i 0.0112881 0.0195516i
\(555\) 39.2551 + 7.11994i 1.66629 + 0.302225i
\(556\) −6.33726 + 10.9765i −0.268760 + 0.465506i
\(557\) 1.45549 + 2.52098i 0.0616710 + 0.106817i 0.895212 0.445640i \(-0.147024\pi\)
−0.833541 + 0.552457i \(0.813690\pi\)
\(558\) 9.50378 12.6154i 0.402327 0.534051i
\(559\) 41.1176i 1.73909i
\(560\) 3.39256 4.53756i 0.143362 0.191747i
\(561\) 1.46416 2.21243i 0.0618171 0.0934087i
\(562\) 3.66849i 0.154746i
\(563\) 11.7302i 0.494369i −0.968968 0.247184i \(-0.920495\pi\)
0.968968 0.247184i \(-0.0795053\pi\)
\(564\) 2.33787 + 1.54718i 0.0984422 + 0.0651482i
\(565\) −7.65129 0.910204i −0.321892 0.0382926i
\(566\) −9.89972 17.1468i −0.416116 0.720734i
\(567\) −5.51088 + 22.1276i −0.231435 + 0.929273i
\(568\) −0.315350 0.182067i −0.0132318 0.00763937i
\(569\) −19.9566 −0.836626 −0.418313 0.908303i \(-0.637378\pi\)
−0.418313 + 0.908303i \(0.637378\pi\)
\(570\) −8.65853 + 14.4924i −0.362666 + 0.607020i
\(571\) −0.624912 −0.0261518 −0.0130759 0.999915i \(-0.504162\pi\)
−0.0130759 + 0.999915i \(0.504162\pi\)
\(572\) 3.04452 + 1.75775i 0.127298 + 0.0734953i
\(573\) −22.5955 1.38052i −0.943940 0.0576718i
\(574\) −3.10675 5.38106i −0.129673 0.224601i
\(575\) 8.83917 + 29.9714i 0.368619 + 1.24989i
\(576\) 2.97769 + 0.365218i 0.124070 + 0.0152174i
\(577\) 31.2690i 1.30174i −0.759187 0.650872i \(-0.774403\pi\)
0.759187 0.650872i \(-0.225597\pi\)
\(578\) 12.6769i 0.527290i
\(579\) −30.6424 20.2789i −1.27345 0.842761i
\(580\) −4.68675 3.50410i −0.194607 0.145500i
\(581\) 32.1096i 1.33213i
\(582\) −9.12716 18.3032i −0.378333 0.758694i
\(583\) 4.70094 + 8.14227i 0.194693 + 0.337218i
\(584\) −1.18451 + 2.05162i −0.0490152 + 0.0848968i
\(585\) 30.7369 8.94354i 1.27082 0.369770i
\(586\) 2.56453 4.44190i 0.105940 0.183493i
\(587\) 8.33621 14.4387i 0.344072 0.595951i −0.641113 0.767447i \(-0.721527\pi\)
0.985185 + 0.171496i \(0.0548602\pi\)
\(588\) −0.899356 + 0.448476i −0.0370888 + 0.0184948i
\(589\) 22.6393 3.75765i 0.932836 0.154831i
\(590\) 4.57827 + 10.6737i 0.188484 + 0.439430i
\(591\) −2.82076 + 46.1686i −0.116031 + 1.89912i
\(592\) 5.15050 8.92092i 0.211684 0.366648i
\(593\) −8.39521 14.5409i −0.344750 0.597125i 0.640558 0.767910i \(-0.278703\pi\)
−0.985308 + 0.170785i \(0.945370\pi\)
\(594\) 2.91129 + 2.48549i 0.119452 + 0.101981i
\(595\) −7.05382 + 9.43451i −0.289179 + 0.386777i
\(596\) 8.13662i 0.333289i
\(597\) 4.02994 2.00958i 0.164934 0.0822468i
\(598\) −25.8274 + 14.9114i −1.05616 + 0.609774i
\(599\) 18.1333 + 31.4079i 0.740908 + 1.28329i 0.952082 + 0.305842i \(0.0989379\pi\)
−0.211174 + 0.977448i \(0.567729\pi\)
\(600\) −8.27899 2.54132i −0.337988 0.103749i
\(601\) 15.2278i 0.621153i −0.950548 0.310577i \(-0.899478\pi\)
0.950548 0.310577i \(-0.100522\pi\)
\(602\) 18.9067 10.9158i 0.770581 0.444895i
\(603\) 6.43499 + 15.1544i 0.262053 + 0.617133i
\(604\) 11.1207 6.42054i 0.452495 0.261248i
\(605\) −2.76221 + 23.2195i −0.112300 + 0.944006i
\(606\) −1.59935 + 26.1773i −0.0649692 + 1.06338i
\(607\) −38.5686 −1.56545 −0.782725 0.622368i \(-0.786171\pi\)
−0.782725 + 0.622368i \(0.786171\pi\)
\(608\) 2.76814 + 3.36711i 0.112263 + 0.136554i
\(609\) −5.12525 10.2780i −0.207685 0.416484i
\(610\) 22.5236 + 2.67943i 0.911954 + 0.108487i
\(611\) 3.86195 6.68910i 0.156238 0.270612i
\(612\) −6.19122 0.759363i −0.250265 0.0306954i
\(613\) −4.15957 2.40153i −0.168004 0.0969969i 0.413641 0.910440i \(-0.364257\pi\)
−0.581644 + 0.813443i \(0.697590\pi\)
\(614\) 18.4385 10.6455i 0.744119 0.429617i
\(615\) −6.14058 + 7.24577i −0.247612 + 0.292178i
\(616\) 1.86658i 0.0752065i
\(617\) −9.14813 15.8450i −0.368290 0.637897i 0.621008 0.783804i \(-0.286723\pi\)
−0.989298 + 0.145907i \(0.953390\pi\)
\(618\) 6.10114 9.21913i 0.245424 0.370848i
\(619\) 13.3123 0.535066 0.267533 0.963549i \(-0.413792\pi\)
0.267533 + 0.963549i \(0.413792\pi\)
\(620\) 4.64073 + 10.8193i 0.186376 + 0.434515i
\(621\) −30.6088 + 10.8459i −1.22829 + 0.435231i
\(622\) 9.25775 16.0349i 0.371202 0.642941i
\(623\) −27.1613 + 15.6816i −1.08819 + 0.628269i
\(624\) 0.504049 8.24999i 0.0201781 0.330264i
\(625\) 22.2481 + 11.4027i 0.889924 + 0.456109i
\(626\) 6.93708 0.277262
\(627\) 0.574401 + 5.53216i 0.0229394 + 0.220933i
\(628\) 15.5889i 0.622067i
\(629\) −10.7089 + 18.5484i −0.426993 + 0.739574i
\(630\) −12.2724 11.7592i −0.488944 0.468497i
\(631\) 14.9958 + 25.9734i 0.596972 + 1.03399i 0.993265 + 0.115862i \(0.0369629\pi\)
−0.396294 + 0.918124i \(0.629704\pi\)
\(632\) −0.161871 + 0.280369i −0.00643888 + 0.0111525i
\(633\) −5.51386 + 8.33171i −0.219156 + 0.331156i
\(634\) 27.4383 1.08971
\(635\) 24.2802 10.4145i 0.963529 0.413286i
\(636\) 12.1993 18.4338i 0.483735 0.730948i
\(637\) 1.38441 + 2.39787i 0.0548525 + 0.0950072i
\(638\) −1.92795 −0.0763282
\(639\) −0.657310 + 0.872518i −0.0260028 + 0.0345163i
\(640\) −1.33896 + 1.79086i −0.0529270 + 0.0707900i
\(641\) −21.3344 + 36.9523i −0.842659 + 1.45953i 0.0449792 + 0.998988i \(0.485678\pi\)
−0.887639 + 0.460541i \(0.847655\pi\)
\(642\) 4.43250 + 2.93339i 0.174937 + 0.115772i
\(643\) 22.4555 + 12.9647i 0.885557 + 0.511277i 0.872487 0.488638i \(-0.162506\pi\)
0.0130704 + 0.999915i \(0.495839\pi\)
\(644\) 13.7132 + 7.91731i 0.540375 + 0.311986i
\(645\) −25.4586 21.5754i −1.00243 0.849531i
\(646\) −5.75552 7.00091i −0.226448 0.275447i
\(647\) 37.1804 1.46171 0.730856 0.682532i \(-0.239121\pi\)
0.730856 + 0.682532i \(0.239121\pi\)
\(648\) 2.17501 8.73323i 0.0854425 0.343074i
\(649\) 3.31374 + 1.91319i 0.130076 + 0.0750993i
\(650\) −5.59762 + 23.1942i −0.219557 + 0.909751i
\(651\) −1.40902 + 23.0621i −0.0552240 + 0.903875i
\(652\) 13.3606 7.71376i 0.523242 0.302094i
\(653\) 46.6082 1.82392 0.911960 0.410278i \(-0.134568\pi\)
0.911960 + 0.410278i \(0.134568\pi\)
\(654\) 8.49896 4.23812i 0.332335 0.165724i
\(655\) 20.0404 26.8041i 0.783045 1.04732i
\(656\) 1.22616 + 2.12377i 0.0478735 + 0.0829193i
\(657\) 5.67649 + 4.27638i 0.221461 + 0.166837i
\(658\) −4.10105 −0.159875
\(659\) −21.4093 37.0820i −0.833988 1.44451i −0.894852 0.446363i \(-0.852719\pi\)
0.0608646 0.998146i \(-0.480614\pi\)
\(660\) −2.68587 + 0.962721i −0.104547 + 0.0374738i
\(661\) 1.49321 0.862106i 0.0580792 0.0335320i −0.470679 0.882304i \(-0.655991\pi\)
0.528758 + 0.848772i \(0.322658\pi\)
\(662\) −10.8131 + 18.7288i −0.420262 + 0.727915i
\(663\) −1.04802 + 17.1534i −0.0407018 + 0.666183i
\(664\) 12.6729i 0.491803i
\(665\) −1.13746 24.6695i −0.0441088 0.956643i
\(666\) −24.6827 18.5946i −0.956433 0.720528i
\(667\) 8.17762 14.1641i 0.316639 0.548434i
\(668\) 14.1230 + 8.15391i 0.546435 + 0.315484i
\(669\) −30.8621 20.4242i −1.19320 0.789647i
\(670\) −12.1856 1.44961i −0.470772 0.0560034i
\(671\) 6.47173 3.73646i 0.249839 0.144244i
\(672\) −3.92733 + 1.95842i −0.151500 + 0.0755476i
\(673\) 25.0136 0.964204 0.482102 0.876115i \(-0.339874\pi\)
0.482102 + 0.876115i \(0.339874\pi\)
\(674\) −30.9316 + 17.8583i −1.19144 + 0.687878i
\(675\) −10.5909 + 23.7241i −0.407644 + 0.913141i
\(676\) −9.77215 −0.375852
\(677\) 10.0935i 0.387924i 0.981009 + 0.193962i \(0.0621339\pi\)
−0.981009 + 0.193962i \(0.937866\pi\)
\(678\) 4.97722 + 3.29388i 0.191149 + 0.126501i
\(679\) 25.9108 + 14.9596i 0.994366 + 0.574098i
\(680\) 2.78397 3.72357i 0.106760 0.142792i
\(681\) 26.7824 + 1.63632i 1.02630 + 0.0627039i
\(682\) 3.35895 + 1.93929i 0.128621 + 0.0742593i
\(683\) 27.4795i 1.05148i −0.850647 0.525738i \(-0.823789\pi\)
0.850647 0.525738i \(-0.176211\pi\)
\(684\) 11.0372 7.01291i 0.422017 0.268145i
\(685\) −44.5665 + 19.1159i −1.70280 + 0.730381i
\(686\) 9.60311 16.6331i 0.366648 0.635054i
\(687\) 1.23873 20.2749i 0.0472606 0.773536i
\(688\) −7.46202 + 4.30820i −0.284487 + 0.164249i
\(689\) −52.7426 30.4510i −2.00933 1.16009i
\(690\) 4.31961 23.8158i 0.164445 0.906651i
\(691\) 3.74385 0.142423 0.0712114 0.997461i \(-0.477314\pi\)
0.0712114 + 0.997461i \(0.477314\pi\)
\(692\) 3.61642i 0.137476i
\(693\) −5.55808 0.681707i −0.211134 0.0258959i
\(694\) −20.2609 + 11.6976i −0.769092 + 0.444035i
\(695\) −26.0462 + 11.1720i −0.987989 + 0.423778i
\(696\) 2.02281 + 4.05646i 0.0766743 + 0.153760i
\(697\) −2.54943 4.41575i −0.0965667 0.167258i
\(698\) −16.5782 9.57144i −0.627495 0.362284i
\(699\) −32.1334 21.2656i −1.21540 0.804340i
\(700\) 12.1512 3.58364i 0.459273 0.135449i
\(701\) −32.2898 18.6425i −1.21957 0.704118i −0.254743 0.967009i \(-0.581991\pi\)
−0.964826 + 0.262891i \(0.915324\pi\)
\(702\) −24.3818 4.51395i −0.920232 0.170368i
\(703\) −7.35205 44.2950i −0.277288 1.67062i
\(704\) 0.736692i 0.0277651i
\(705\) 2.11519 + 5.90111i 0.0796627 + 0.222249i
\(706\) 22.7600 + 13.1405i 0.856585 + 0.494550i
\(707\) −19.1824 33.2249i −0.721428 1.24955i
\(708\) 0.548622 8.97954i 0.0206185 0.337472i
\(709\) −22.4207 38.8338i −0.842027 1.45843i −0.888179 0.459499i \(-0.848029\pi\)
0.0461519 0.998934i \(-0.485304\pi\)
\(710\) −0.320967 0.748298i −0.0120457 0.0280831i
\(711\) 0.775732 + 0.584397i 0.0290922 + 0.0219166i
\(712\) 10.7199 6.18913i 0.401745 0.231947i
\(713\) −28.4948 + 16.4515i −1.06714 + 0.616113i
\(714\) 8.16573 4.07195i 0.305595 0.152389i
\(715\) 3.09875 + 7.22438i 0.115887 + 0.270176i
\(716\) −1.60760 2.78444i −0.0600788 0.104060i
\(717\) −4.93437 0.301475i −0.184277 0.0112588i
\(718\) 10.8238 + 18.7474i 0.403941 + 0.699646i
\(719\) 23.0640 + 13.3160i 0.860141 + 0.496603i 0.864059 0.503390i \(-0.167914\pi\)
−0.00391864 + 0.999992i \(0.501247\pi\)
\(720\) 4.84361 + 4.64106i 0.180511 + 0.172962i
\(721\) 16.1720i 0.602277i
\(722\) 18.6412 + 3.67484i 0.693755 + 0.136763i
\(723\) −2.58323 5.18030i −0.0960712 0.192657i
\(724\) −8.85537 5.11265i −0.329107 0.190010i
\(725\) −3.70147 12.5507i −0.137469 0.466123i
\(726\) 9.99600 15.1045i 0.370986 0.560579i
\(727\) −0.844783 0.487735i −0.0313313 0.0180891i 0.484253 0.874928i \(-0.339092\pi\)
−0.515584 + 0.856839i \(0.672425\pi\)
\(728\) 6.04550 + 10.4711i 0.224061 + 0.388085i
\(729\) −25.2105 9.66603i −0.933721 0.358001i
\(730\) −4.86833 + 2.08817i −0.180185 + 0.0772866i
\(731\) 15.5151 8.95763i 0.573846 0.331310i
\(732\) −14.6518 9.69642i −0.541545 0.358390i
\(733\) 19.5654i 0.722665i −0.932437 0.361332i \(-0.882322\pi\)
0.932437 0.361332i \(-0.117678\pi\)
\(734\) −35.8982 −1.32503
\(735\) −2.21111 0.401043i −0.0815581 0.0147927i
\(736\) −5.41225 3.12477i −0.199498 0.115180i
\(737\) −3.50131 + 2.02148i −0.128972 + 0.0744623i
\(738\) 6.77174 2.87548i 0.249271 0.105848i
\(739\) −16.2565 + 28.1571i −0.598006 + 1.03578i 0.395109 + 0.918634i \(0.370707\pi\)
−0.993115 + 0.117143i \(0.962626\pi\)
\(740\) 21.1686 9.07983i 0.778173 0.333781i
\(741\) −21.1399 29.1739i −0.776594 1.07173i
\(742\) 32.3362i 1.18710i
\(743\) 32.7180 + 18.8897i 1.20031 + 0.692998i 0.960623 0.277854i \(-0.0896230\pi\)
0.239683 + 0.970851i \(0.422956\pi\)
\(744\) 0.556107 9.10205i 0.0203879 0.333697i
\(745\) −10.8946 + 14.5716i −0.399148 + 0.533861i
\(746\) −5.53638 3.19643i −0.202701 0.117030i
\(747\) −37.7359 4.62837i −1.38068 0.169343i
\(748\) 1.53173i 0.0560057i
\(749\) −7.77540 −0.284107
\(750\) −11.4238 15.6364i −0.417138 0.570960i
\(751\) 1.16537 0.672824i 0.0425248 0.0245517i −0.478587 0.878040i \(-0.658851\pi\)
0.521112 + 0.853488i \(0.325517\pi\)
\(752\) 1.61858 0.0590236
\(753\) 3.77399 + 7.56821i 0.137532 + 0.275801i
\(754\) 10.8154 6.24427i 0.393873 0.227403i
\(755\) 28.5125 + 3.39187i 1.03768 + 0.123443i
\(756\) 4.39722 + 12.4096i 0.159925 + 0.451333i
\(757\) −14.6311 8.44728i −0.531777 0.307022i 0.209963 0.977709i \(-0.432666\pi\)
−0.741740 + 0.670688i \(0.765999\pi\)
\(758\) −2.30537 + 3.99303i −0.0837350 + 0.145033i
\(759\) −3.55859 7.13626i −0.129169 0.259030i
\(760\) 0.448927 + 9.73645i 0.0162843 + 0.353178i
\(761\) 38.1541i 1.38309i −0.722336 0.691543i \(-0.756931\pi\)
0.722336 0.691543i \(-0.243069\pi\)
\(762\) −20.4263 1.24799i −0.739968 0.0452097i
\(763\) −6.94637 + 12.0315i −0.251476 + 0.435568i
\(764\) −11.3188 + 6.53492i −0.409500 + 0.236425i
\(765\) −10.0709 9.64971i −0.364113 0.348886i
\(766\) 3.76967 + 6.52926i 0.136204 + 0.235912i
\(767\) −24.7859 −0.894967
\(768\) 1.55002 0.772939i 0.0559316 0.0278910i
\(769\) 2.27302 + 3.93699i 0.0819673 + 0.141971i 0.904095 0.427332i \(-0.140546\pi\)
−0.822128 + 0.569303i \(0.807213\pi\)
\(770\) 2.49927 3.34278i 0.0900674 0.120465i
\(771\) 1.85096 + 3.71185i 0.0666609 + 0.133679i
\(772\) −21.2147 −0.763534
\(773\) −12.6054 + 7.27776i −0.453387 + 0.261763i −0.709259 0.704948i \(-0.750970\pi\)
0.255873 + 0.966710i \(0.417637\pi\)
\(774\) 10.1032 + 23.7930i 0.363152 + 0.855222i
\(775\) −6.17574 + 25.5897i −0.221839 + 0.919208i