Properties

Label 966.2.s.a.181.1
Level $966$
Weight $2$
Character 966.181
Analytic conductor $7.714$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 966.s (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.71354883526\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(16\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 181.1
Character \(\chi\) \(=\) 966.181
Dual form 966.2.s.a.475.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.142315 - 0.989821i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-2.74900 + 3.17251i) q^{5} +(-0.281733 + 0.959493i) q^{6} +(1.98395 + 1.75041i) q^{7} +(0.415415 + 0.909632i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})\) \(q+(-0.142315 - 0.989821i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-2.74900 + 3.17251i) q^{5} +(-0.281733 + 0.959493i) q^{6} +(1.98395 + 1.75041i) q^{7} +(0.415415 + 0.909632i) q^{8} +(0.654861 + 0.755750i) q^{9} +(3.53144 + 2.26952i) q^{10} +(1.66621 + 0.239565i) q^{11} +(0.989821 + 0.142315i) q^{12} +(0.367232 - 0.571424i) q^{13} +(1.45025 - 2.21286i) q^{14} +(3.81849 - 1.74384i) q^{15} +(0.841254 - 0.540641i) q^{16} +(-7.72704 - 2.26886i) q^{17} +(0.654861 - 0.755750i) q^{18} +(2.39735 - 0.703925i) q^{19} +(1.74384 - 3.81849i) q^{20} +(-1.07751 - 2.41639i) q^{21} -1.68335i q^{22} +(-1.65525 + 4.50113i) q^{23} -1.00000i q^{24} +(-1.79627 - 12.4933i) q^{25} +(-0.617871 - 0.282172i) q^{26} +(-0.281733 - 0.959493i) q^{27} +(-2.39673 - 1.12057i) q^{28} +(-2.30377 - 0.676447i) q^{29} +(-2.26952 - 3.53144i) q^{30} +(-4.21654 + 1.92563i) q^{31} +(-0.654861 - 0.755750i) q^{32} +(-1.41612 - 0.910086i) q^{33} +(-1.14610 + 7.97129i) q^{34} +(-11.0071 + 1.48222i) q^{35} +(-0.841254 - 0.540641i) q^{36} +(-0.899700 + 0.779595i) q^{37} +(-1.03794 - 2.27277i) q^{38} +(-0.571424 + 0.367232i) q^{39} +(-4.02779 - 1.18267i) q^{40} +(5.71873 + 4.95531i) q^{41} +(-2.23845 + 1.41044i) q^{42} +(-2.74000 - 1.25132i) q^{43} +(-1.66621 + 0.239565i) q^{44} -4.19784 q^{45} +(4.69088 + 0.997826i) q^{46} -4.94803i q^{47} +(-0.989821 + 0.142315i) q^{48} +(0.872103 + 6.94546i) q^{49} +(-12.1105 + 3.55598i) q^{50} +(6.08625 + 5.27376i) q^{51} +(-0.191368 + 0.651739i) q^{52} +(-5.63964 - 8.77545i) q^{53} +(-0.909632 + 0.415415i) q^{54} +(-5.34044 + 4.62751i) q^{55} +(-0.768070 + 2.53181i) q^{56} +(-2.47313 - 0.355582i) q^{57} +(-0.341702 + 2.37659i) q^{58} +(-2.47445 + 3.85033i) q^{59} +(-3.17251 + 2.74900i) q^{60} +(-5.41332 - 11.8535i) q^{61} +(2.50611 + 3.89958i) q^{62} +(-0.0236646 + 2.64565i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(0.803330 + 2.73589i) q^{65} +(-0.699287 + 1.53123i) q^{66} +(-11.3758 + 1.63559i) q^{67} +8.05326 q^{68} +(3.37551 - 3.40675i) q^{69} +(3.03360 + 10.6841i) q^{70} +(-1.01355 - 7.04940i) q^{71} +(-0.415415 + 0.909632i) q^{72} +(3.69944 + 12.5991i) q^{73} +(0.899700 + 0.779595i) q^{74} +(-3.55598 + 12.1105i) q^{75} +(-2.10192 + 1.35082i) q^{76} +(2.88634 + 3.39185i) q^{77} +(0.444816 + 0.513345i) q^{78} +(4.27094 - 6.64571i) q^{79} +(-0.597414 + 4.15511i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(4.09101 - 6.36573i) q^{82} +(-4.75752 - 5.49047i) q^{83} +(1.71464 + 2.01494i) q^{84} +(28.4396 - 18.2770i) q^{85} +(-0.848637 + 2.89019i) q^{86} +(1.81457 + 1.57234i) q^{87} +(0.474253 + 1.61516i) q^{88} +(-3.25180 + 7.12044i) q^{89} +(0.597414 + 4.15511i) q^{90} +(1.72880 - 0.490868i) q^{91} +(0.320088 - 4.78514i) q^{92} +4.63544 q^{93} +(-4.89767 + 0.704178i) q^{94} +(-4.35709 + 9.54071i) q^{95} +(0.281733 + 0.959493i) q^{96} +(1.14392 - 1.32016i) q^{97} +(6.75065 - 1.85167i) q^{98} +(0.910086 + 1.41612i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160q - 16q^{2} - 16q^{4} - 16q^{8} + 16q^{9} + O(q^{10}) \) \( 160q - 16q^{2} - 16q^{4} - 16q^{8} + 16q^{9} - 22q^{14} - 16q^{16} + 16q^{18} - 36q^{23} + 96q^{25} + 22q^{28} - 20q^{29} - 16q^{32} - 50q^{35} + 16q^{36} + 22q^{37} + 4q^{39} - 110q^{43} + 8q^{46} - 36q^{50} + 22q^{51} - 88q^{53} + 22q^{57} + 24q^{58} - 16q^{64} - 72q^{70} + 48q^{71} + 16q^{72} - 22q^{74} + 24q^{77} + 4q^{78} + 88q^{79} - 16q^{81} + 22q^{84} + 76q^{85} + 44q^{86} - 44q^{88} + 8q^{92} - 14q^{95} + 22q^{98} - 22q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(829\) \(925\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.142315 0.989821i −0.100632 0.699909i
\(3\) −0.909632 0.415415i −0.525176 0.239840i
\(4\) −0.959493 + 0.281733i −0.479746 + 0.140866i
\(5\) −2.74900 + 3.17251i −1.22939 + 1.41879i −0.354088 + 0.935212i \(0.615209\pi\)
−0.875301 + 0.483578i \(0.839337\pi\)
\(6\) −0.281733 + 0.959493i −0.115017 + 0.391711i
\(7\) 1.98395 + 1.75041i 0.749862 + 0.661594i
\(8\) 0.415415 + 0.909632i 0.146871 + 0.321603i
\(9\) 0.654861 + 0.755750i 0.218287 + 0.251917i
\(10\) 3.53144 + 2.26952i 1.11674 + 0.717686i
\(11\) 1.66621 + 0.239565i 0.502382 + 0.0722316i 0.388847 0.921302i \(-0.372874\pi\)
0.113535 + 0.993534i \(0.463783\pi\)
\(12\) 0.989821 + 0.142315i 0.285737 + 0.0410828i
\(13\) 0.367232 0.571424i 0.101852 0.158485i −0.786587 0.617479i \(-0.788154\pi\)
0.888439 + 0.458995i \(0.151790\pi\)
\(14\) 1.45025 2.21286i 0.387596 0.591413i
\(15\) 3.81849 1.74384i 0.985929 0.450259i
\(16\) 0.841254 0.540641i 0.210313 0.135160i
\(17\) −7.72704 2.26886i −1.87408 0.550280i −0.997631 0.0687916i \(-0.978086\pi\)
−0.876452 0.481489i \(-0.840096\pi\)
\(18\) 0.654861 0.755750i 0.154352 0.178132i
\(19\) 2.39735 0.703925i 0.549990 0.161491i 0.00508115 0.999987i \(-0.498383\pi\)
0.544908 + 0.838496i \(0.316564\pi\)
\(20\) 1.74384 3.81849i 0.389935 0.853839i
\(21\) −1.07751 2.41639i −0.235133 0.527300i
\(22\) 1.68335i 0.358891i
\(23\) −1.65525 + 4.50113i −0.345144 + 0.938550i
\(24\) 1.00000i 0.204124i
\(25\) −1.79627 12.4933i −0.359254 2.49867i
\(26\) −0.617871 0.282172i −0.121174 0.0553385i
\(27\) −0.281733 0.959493i −0.0542195 0.184655i
\(28\) −2.39673 1.12057i −0.452940 0.211767i
\(29\) −2.30377 0.676447i −0.427799 0.125613i 0.0607432 0.998153i \(-0.480653\pi\)
−0.488542 + 0.872540i \(0.662471\pi\)
\(30\) −2.26952 3.53144i −0.414356 0.644750i
\(31\) −4.21654 + 1.92563i −0.757313 + 0.345853i −0.756368 0.654146i \(-0.773028\pi\)
−0.000945212 1.00000i \(0.500301\pi\)
\(32\) −0.654861 0.755750i −0.115764 0.133599i
\(33\) −1.41612 0.910086i −0.246515 0.158426i
\(34\) −1.14610 + 7.97129i −0.196554 + 1.36706i
\(35\) −11.0071 + 1.48222i −1.86054 + 0.250540i
\(36\) −0.841254 0.540641i −0.140209 0.0901068i
\(37\) −0.899700 + 0.779595i −0.147910 + 0.128165i −0.725673 0.688040i \(-0.758471\pi\)
0.577763 + 0.816205i \(0.303926\pi\)
\(38\) −1.03794 2.27277i −0.168376 0.368692i
\(39\) −0.571424 + 0.367232i −0.0915011 + 0.0588042i
\(40\) −4.02779 1.18267i −0.636850 0.186996i
\(41\) 5.71873 + 4.95531i 0.893115 + 0.773889i 0.974872 0.222764i \(-0.0715078\pi\)
−0.0817574 + 0.996652i \(0.526053\pi\)
\(42\) −2.23845 + 1.41044i −0.345401 + 0.217635i
\(43\) −2.74000 1.25132i −0.417846 0.190824i 0.195387 0.980726i \(-0.437404\pi\)
−0.613232 + 0.789902i \(0.710131\pi\)
\(44\) −1.66621 + 0.239565i −0.251191 + 0.0361158i
\(45\) −4.19784 −0.625776
\(46\) 4.69088 + 0.997826i 0.691632 + 0.147121i
\(47\) 4.94803i 0.721744i −0.932615 0.360872i \(-0.882479\pi\)
0.932615 0.360872i \(-0.117521\pi\)
\(48\) −0.989821 + 0.142315i −0.142868 + 0.0205414i
\(49\) 0.872103 + 6.94546i 0.124586 + 0.992209i
\(50\) −12.1105 + 3.55598i −1.71269 + 0.502891i
\(51\) 6.08625 + 5.27376i 0.852245 + 0.738474i
\(52\) −0.191368 + 0.651739i −0.0265379 + 0.0903799i
\(53\) −5.63964 8.77545i −0.774664 1.20540i −0.974239 0.225518i \(-0.927593\pi\)
0.199575 0.979882i \(-0.436044\pi\)
\(54\) −0.909632 + 0.415415i −0.123785 + 0.0565308i
\(55\) −5.34044 + 4.62751i −0.720104 + 0.623974i
\(56\) −0.768070 + 2.53181i −0.102638 + 0.338327i
\(57\) −2.47313 0.355582i −0.327574 0.0470980i
\(58\) −0.341702 + 2.37659i −0.0448676 + 0.312061i
\(59\) −2.47445 + 3.85033i −0.322147 + 0.501270i −0.964123 0.265454i \(-0.914478\pi\)
0.641977 + 0.766724i \(0.278114\pi\)
\(60\) −3.17251 + 2.74900i −0.409570 + 0.354894i
\(61\) −5.41332 11.8535i −0.693104 1.51769i −0.848137 0.529778i \(-0.822275\pi\)
0.155032 0.987909i \(-0.450452\pi\)
\(62\) 2.50611 + 3.89958i 0.318276 + 0.495247i
\(63\) −0.0236646 + 2.64565i −0.00298146 + 0.333320i
\(64\) −0.654861 + 0.755750i −0.0818576 + 0.0944687i
\(65\) 0.803330 + 2.73589i 0.0996409 + 0.339346i
\(66\) −0.699287 + 1.53123i −0.0860763 + 0.188481i
\(67\) −11.3758 + 1.63559i −1.38977 + 0.199819i −0.796235 0.604987i \(-0.793178\pi\)
−0.593538 + 0.804806i \(0.702269\pi\)
\(68\) 8.05326 0.976601
\(69\) 3.37551 3.40675i 0.406363 0.410125i
\(70\) 3.03360 + 10.6841i 0.362585 + 1.27699i
\(71\) −1.01355 7.04940i −0.120286 0.836610i −0.957231 0.289323i \(-0.906570\pi\)
0.836945 0.547287i \(-0.184339\pi\)
\(72\) −0.415415 + 0.909632i −0.0489571 + 0.107201i
\(73\) 3.69944 + 12.5991i 0.432986 + 1.47462i 0.830499 + 0.557020i \(0.188055\pi\)
−0.397513 + 0.917597i \(0.630127\pi\)
\(74\) 0.899700 + 0.779595i 0.104588 + 0.0906260i
\(75\) −3.55598 + 12.1105i −0.410609 + 1.39841i
\(76\) −2.10192 + 1.35082i −0.241107 + 0.154950i
\(77\) 2.88634 + 3.39185i 0.328929 + 0.386537i
\(78\) 0.444816 + 0.513345i 0.0503655 + 0.0581249i
\(79\) 4.27094 6.64571i 0.480518 0.747701i −0.513361 0.858173i \(-0.671600\pi\)
0.993879 + 0.110472i \(0.0352362\pi\)
\(80\) −0.597414 + 4.15511i −0.0667929 + 0.464555i
\(81\) −0.142315 + 0.989821i −0.0158128 + 0.109980i
\(82\) 4.09101 6.36573i 0.451776 0.702978i
\(83\) −4.75752 5.49047i −0.522205 0.602657i 0.431976 0.901885i \(-0.357816\pi\)
−0.954182 + 0.299228i \(0.903271\pi\)
\(84\) 1.71464 + 2.01494i 0.187083 + 0.219848i
\(85\) 28.4396 18.2770i 3.08471 1.98242i
\(86\) −0.848637 + 2.89019i −0.0915108 + 0.311657i
\(87\) 1.81457 + 1.57234i 0.194543 + 0.168572i
\(88\) 0.474253 + 1.61516i 0.0505556 + 0.172176i
\(89\) −3.25180 + 7.12044i −0.344690 + 0.754765i −1.00000 0.000594772i \(-0.999811\pi\)
0.655310 + 0.755360i \(0.272538\pi\)
\(90\) 0.597414 + 4.15511i 0.0629730 + 0.437987i
\(91\) 1.72880 0.490868i 0.181227 0.0514570i
\(92\) 0.320088 4.78514i 0.0333715 0.498885i
\(93\) 4.63544 0.480673
\(94\) −4.89767 + 0.704178i −0.505156 + 0.0726304i
\(95\) −4.35709 + 9.54071i −0.447028 + 0.978856i
\(96\) 0.281733 + 0.959493i 0.0287542 + 0.0979278i
\(97\) 1.14392 1.32016i 0.116148 0.134042i −0.694698 0.719301i \(-0.744462\pi\)
0.810846 + 0.585260i \(0.199007\pi\)
\(98\) 6.75065 1.85167i 0.681919 0.187047i
\(99\) 0.910086 + 1.41612i 0.0914670 + 0.142325i
\(100\) 5.24329 + 11.4812i 0.524329 + 1.14812i
\(101\) −4.94631 + 4.28600i −0.492176 + 0.426473i −0.865259 0.501325i \(-0.832846\pi\)
0.373083 + 0.927798i \(0.378301\pi\)
\(102\) 4.35392 6.77483i 0.431102 0.670808i
\(103\) 1.29274 8.99118i 0.127377 0.885928i −0.821483 0.570232i \(-0.806853\pi\)
0.948861 0.315695i \(-0.102238\pi\)
\(104\) 0.672340 + 0.0966678i 0.0659283 + 0.00947906i
\(105\) 10.6281 + 3.22423i 1.03720 + 0.314653i
\(106\) −7.88352 + 6.83111i −0.765715 + 0.663496i
\(107\) −3.90688 + 1.78421i −0.377692 + 0.172486i −0.595210 0.803570i \(-0.702931\pi\)
0.217518 + 0.976056i \(0.430204\pi\)
\(108\) 0.540641 + 0.841254i 0.0520232 + 0.0809497i
\(109\) 4.32680 14.7357i 0.414432 1.41143i −0.442857 0.896592i \(-0.646035\pi\)
0.857289 0.514835i \(-0.172147\pi\)
\(110\) 5.34044 + 4.62751i 0.509191 + 0.441216i
\(111\) 1.14225 0.335395i 0.108418 0.0318343i
\(112\) 2.61535 + 0.399938i 0.247127 + 0.0377906i
\(113\) −4.54873 + 0.654008i −0.427908 + 0.0615239i −0.352904 0.935659i \(-0.614806\pi\)
−0.0750037 + 0.997183i \(0.523897\pi\)
\(114\) 2.49856i 0.234011i
\(115\) −9.72960 17.6249i −0.907290 1.64353i
\(116\) 2.40103 0.222930
\(117\) 0.672340 0.0966678i 0.0621578 0.00893695i
\(118\) 4.16329 + 1.90131i 0.383262 + 0.175030i
\(119\) −11.3586 18.0268i −1.04124 1.65252i
\(120\) 3.17251 + 2.74900i 0.289609 + 0.250948i
\(121\) −7.83555 2.30073i −0.712323 0.209157i
\(122\) −10.9625 + 7.04515i −0.992495 + 0.637838i
\(123\) −3.14343 6.88315i −0.283433 0.620633i
\(124\) 3.50323 3.03557i 0.314599 0.272602i
\(125\) 26.9160 + 17.2979i 2.40744 + 1.54717i
\(126\) 2.62208 0.353091i 0.233594 0.0314558i
\(127\) −0.547793 + 3.80999i −0.0486088 + 0.338082i 0.950976 + 0.309265i \(0.100083\pi\)
−0.999585 + 0.0288166i \(0.990826\pi\)
\(128\) 0.841254 + 0.540641i 0.0743570 + 0.0477863i
\(129\) 1.97258 + 2.27647i 0.173676 + 0.200432i
\(130\) 2.59372 1.18451i 0.227484 0.103889i
\(131\) −0.969357 1.50835i −0.0846931 0.131785i 0.796322 0.604872i \(-0.206776\pi\)
−0.881016 + 0.473087i \(0.843140\pi\)
\(132\) 1.61516 + 0.474253i 0.140582 + 0.0412785i
\(133\) 5.98838 + 2.79980i 0.519258 + 0.242774i
\(134\) 3.23789 + 11.0272i 0.279711 + 0.952607i
\(135\) 3.81849 + 1.74384i 0.328643 + 0.150086i
\(136\) −1.14610 7.97129i −0.0982771 0.683532i
\(137\) 17.5032i 1.49540i 0.664037 + 0.747700i \(0.268842\pi\)
−0.664037 + 0.747700i \(0.731158\pi\)
\(138\) −3.85246 2.85632i −0.327943 0.243146i
\(139\) 10.2425i 0.868758i 0.900730 + 0.434379i \(0.143032\pi\)
−0.900730 + 0.434379i \(0.856968\pi\)
\(140\) 10.1436 4.52323i 0.857293 0.382283i
\(141\) −2.05549 + 4.50089i −0.173103 + 0.379043i
\(142\) −6.83341 + 2.00647i −0.573447 + 0.168379i
\(143\) 0.748780 0.864138i 0.0626161 0.0722629i
\(144\) 0.959493 + 0.281733i 0.0799577 + 0.0234777i
\(145\) 8.47909 5.44918i 0.704150 0.452530i
\(146\) 11.9444 5.45483i 0.988526 0.451445i
\(147\) 2.09196 6.68010i 0.172542 0.550965i
\(148\) 0.643619 1.00149i 0.0529051 0.0823220i
\(149\) −15.4672 2.22384i −1.26712 0.182184i −0.524218 0.851584i \(-0.675642\pi\)
−0.742902 + 0.669400i \(0.766551\pi\)
\(150\) 12.4933 + 1.79627i 1.02008 + 0.146665i
\(151\) −4.41793 2.83923i −0.359526 0.231053i 0.348391 0.937349i \(-0.386728\pi\)
−0.707916 + 0.706296i \(0.750365\pi\)
\(152\) 1.63621 + 1.88828i 0.132714 + 0.153160i
\(153\) −3.34544 7.32550i −0.270463 0.592232i
\(154\) 2.94655 3.33967i 0.237440 0.269118i
\(155\) 5.48218 18.6706i 0.440339 1.49966i
\(156\) 0.444816 0.513345i 0.0356138 0.0411005i
\(157\) −10.7823 + 3.16597i −0.860522 + 0.252672i −0.682079 0.731278i \(-0.738924\pi\)
−0.178443 + 0.983950i \(0.557106\pi\)
\(158\) −7.18588 3.28168i −0.571678 0.261077i
\(159\) 1.48454 + 10.3252i 0.117732 + 0.818843i
\(160\) 4.19784 0.331868
\(161\) −11.1628 + 6.03263i −0.879749 + 0.475438i
\(162\) 1.00000 0.0785674
\(163\) 1.49829 + 10.4209i 0.117355 + 0.816225i 0.960449 + 0.278458i \(0.0898232\pi\)
−0.843093 + 0.537768i \(0.819268\pi\)
\(164\) −6.88315 3.14343i −0.537484 0.245461i
\(165\) 6.78017 1.99084i 0.527835 0.154986i
\(166\) −4.75752 + 5.49047i −0.369255 + 0.426143i
\(167\) 5.40929 18.4224i 0.418584 1.42557i −0.433022 0.901383i \(-0.642553\pi\)
0.851606 0.524182i \(-0.175629\pi\)
\(168\) 1.75041 1.98395i 0.135047 0.153065i
\(169\) 5.20873 + 11.4055i 0.400671 + 0.877348i
\(170\) −22.1384 25.5491i −1.69794 1.95952i
\(171\) 2.10192 + 1.35082i 0.160738 + 0.103300i
\(172\) 2.98155 + 0.428682i 0.227341 + 0.0326867i
\(173\) −0.886884 0.127515i −0.0674286 0.00969476i 0.108518 0.994094i \(-0.465389\pi\)
−0.175947 + 0.984400i \(0.556299\pi\)
\(174\) 1.29809 2.01987i 0.0984082 0.153126i
\(175\) 18.3048 27.9304i 1.38371 2.11134i
\(176\) 1.53123 0.699287i 0.115420 0.0527108i
\(177\) 3.85033 2.47445i 0.289408 0.185991i
\(178\) 7.51074 + 2.20535i 0.562954 + 0.165298i
\(179\) −10.3986 + 12.0006i −0.777224 + 0.896965i −0.996906 0.0786068i \(-0.974953\pi\)
0.219681 + 0.975572i \(0.429498\pi\)
\(180\) 4.02779 1.18267i 0.300214 0.0881508i
\(181\) 2.61054 5.71629i 0.194040 0.424889i −0.787456 0.616371i \(-0.788602\pi\)
0.981496 + 0.191482i \(0.0613295\pi\)
\(182\) −0.731906 1.64134i −0.0542525 0.121665i
\(183\) 13.0311i 0.963287i
\(184\) −4.78199 + 0.364166i −0.352533 + 0.0268467i
\(185\) 4.99741i 0.367417i
\(186\) −0.659692 4.58826i −0.0483709 0.336427i
\(187\) −12.3314 5.63154i −0.901758 0.411819i
\(188\) 1.39402 + 4.74760i 0.101669 + 0.346254i
\(189\) 1.12057 2.39673i 0.0815092 0.174337i
\(190\) 10.0637 + 2.95496i 0.730096 + 0.214375i
\(191\) −3.98518 6.20106i −0.288357 0.448693i 0.666609 0.745408i \(-0.267745\pi\)
−0.954966 + 0.296715i \(0.904109\pi\)
\(192\) 0.909632 0.415415i 0.0656470 0.0299800i
\(193\) −0.222382 0.256643i −0.0160074 0.0184735i 0.747689 0.664049i \(-0.231163\pi\)
−0.763697 + 0.645575i \(0.776618\pi\)
\(194\) −1.46952 0.944402i −0.105505 0.0678041i
\(195\) 0.405796 2.82237i 0.0290596 0.202114i
\(196\) −2.79354 6.41842i −0.199539 0.458459i
\(197\) 3.16356 + 2.03309i 0.225394 + 0.144852i 0.648465 0.761245i \(-0.275411\pi\)
−0.423071 + 0.906097i \(0.639048\pi\)
\(198\) 1.27219 1.10236i 0.0904105 0.0783411i
\(199\) −0.593116 1.29874i −0.0420448 0.0920654i 0.887444 0.460915i \(-0.152479\pi\)
−0.929489 + 0.368850i \(0.879752\pi\)
\(200\) 10.6181 6.82387i 0.750817 0.482521i
\(201\) 11.0272 + 3.23789i 0.777800 + 0.228383i
\(202\) 4.94631 + 4.28600i 0.348021 + 0.301562i
\(203\) −3.38649 5.37458i −0.237685 0.377222i
\(204\) −7.32550 3.34544i −0.512888 0.234228i
\(205\) −31.4415 + 4.52061i −2.19597 + 0.315733i
\(206\) −9.08364 −0.632887
\(207\) −4.48568 + 1.69666i −0.311777 + 0.117926i
\(208\) 0.679253i 0.0470978i
\(209\) 4.16313 0.598567i 0.287970 0.0414038i
\(210\) 1.67888 10.9788i 0.115853 0.757609i
\(211\) 0.607230 0.178299i 0.0418035 0.0122746i −0.260764 0.965403i \(-0.583974\pi\)
0.302567 + 0.953128i \(0.402156\pi\)
\(212\) 7.88352 + 6.83111i 0.541442 + 0.469163i
\(213\) −2.00647 + 6.83341i −0.137481 + 0.468217i
\(214\) 2.32206 + 3.61319i 0.158733 + 0.246993i
\(215\) 11.5021 5.25282i 0.784434 0.358239i
\(216\) 0.755750 0.654861i 0.0514222 0.0445576i
\(217\) −11.7361 3.56034i −0.796695 0.241692i
\(218\) −15.2015 2.18565i −1.02958 0.148031i
\(219\) 1.86874 12.9974i 0.126278 0.878281i
\(220\) 3.82039 5.94464i 0.257571 0.400788i
\(221\) −4.13410 + 3.58222i −0.278090 + 0.240966i
\(222\) −0.494541 1.08289i −0.0331914 0.0726790i
\(223\) 14.3580 + 22.3416i 0.961486 + 1.49610i 0.865617 + 0.500707i \(0.166927\pi\)
0.0958694 + 0.995394i \(0.469437\pi\)
\(224\) 0.0236646 2.64565i 0.00158116 0.176770i
\(225\) 8.26553 9.53893i 0.551036 0.635929i
\(226\) 1.29470 + 4.40935i 0.0861223 + 0.293306i
\(227\) 8.07509 17.6820i 0.535962 1.17359i −0.427072 0.904217i \(-0.640455\pi\)
0.963035 0.269377i \(-0.0868177\pi\)
\(228\) 2.47313 0.355582i 0.163787 0.0235490i
\(229\) 25.9850 1.71714 0.858570 0.512696i \(-0.171353\pi\)
0.858570 + 0.512696i \(0.171353\pi\)
\(230\) −16.0608 + 12.1388i −1.05902 + 0.800412i
\(231\) −1.21648 4.28436i −0.0800388 0.281890i
\(232\) −0.341702 2.37659i −0.0224338 0.156031i
\(233\) −2.57195 + 5.63179i −0.168494 + 0.368951i −0.974977 0.222307i \(-0.928641\pi\)
0.806483 + 0.591258i \(0.201368\pi\)
\(234\) −0.191368 0.651739i −0.0125101 0.0426055i
\(235\) 15.6977 + 13.6021i 1.02400 + 0.887305i
\(236\) 1.28946 4.39150i 0.0839367 0.285862i
\(237\) −6.64571 + 4.27094i −0.431685 + 0.277427i
\(238\) −16.2268 + 13.8085i −1.05183 + 0.895070i
\(239\) 19.9259 + 22.9957i 1.28890 + 1.48747i 0.778673 + 0.627429i \(0.215893\pi\)
0.510226 + 0.860040i \(0.329562\pi\)
\(240\) 2.26952 3.53144i 0.146497 0.227954i
\(241\) 2.56736 17.8564i 0.165378 1.15023i −0.722910 0.690942i \(-0.757196\pi\)
0.888288 0.459287i \(-0.151895\pi\)
\(242\) −1.16219 + 8.08322i −0.0747085 + 0.519609i
\(243\) 0.540641 0.841254i 0.0346821 0.0539664i
\(244\) 8.53356 + 9.84826i 0.546305 + 0.630470i
\(245\) −24.4320 16.3263i −1.56090 1.04305i
\(246\) −6.36573 + 4.09101i −0.405864 + 0.260833i
\(247\) 0.478144 1.62841i 0.0304235 0.103613i
\(248\) −3.50323 3.03557i −0.222455 0.192759i
\(249\) 2.04677 + 6.97065i 0.129709 + 0.441747i
\(250\) 13.2913 29.1038i 0.840613 1.84069i
\(251\) −0.918544 6.38862i −0.0579780 0.403246i −0.998058 0.0622918i \(-0.980159\pi\)
0.940080 0.340954i \(-0.110750\pi\)
\(252\) −0.722658 2.54515i −0.0455232 0.160329i
\(253\) −3.83631 + 7.10329i −0.241187 + 0.446580i
\(254\) 3.84916 0.241518
\(255\) −33.4621 + 4.81113i −2.09548 + 0.301285i
\(256\) 0.415415 0.909632i 0.0259634 0.0568520i
\(257\) −4.07825 13.8892i −0.254394 0.866387i −0.983334 0.181809i \(-0.941805\pi\)
0.728940 0.684578i \(-0.240013\pi\)
\(258\) 1.97258 2.27647i 0.122807 0.141727i
\(259\) −3.14957 0.0281721i −0.195705 0.00175053i
\(260\) −1.54158 2.39875i −0.0956047 0.148764i
\(261\) −0.997422 2.18405i −0.0617389 0.135189i
\(262\) −1.35504 + 1.17415i −0.0837148 + 0.0725393i
\(263\) −5.42450 + 8.44069i −0.334489 + 0.520475i −0.967234 0.253885i \(-0.918292\pi\)
0.632745 + 0.774360i \(0.281928\pi\)
\(264\) 0.239565 1.66621i 0.0147442 0.102548i
\(265\) 43.3436 + 6.23186i 2.66257 + 0.382820i
\(266\) 1.91907 6.32588i 0.117666 0.387864i
\(267\) 5.91588 5.12614i 0.362046 0.313714i
\(268\) 10.4542 4.77427i 0.638591 0.291635i
\(269\) 8.46756 + 13.1758i 0.516276 + 0.803341i 0.997305 0.0733632i \(-0.0233732\pi\)
−0.481029 + 0.876705i \(0.659737\pi\)
\(270\) 1.18267 4.02779i 0.0719748 0.245124i
\(271\) 7.65631 + 6.63423i 0.465088 + 0.403001i 0.855633 0.517583i \(-0.173168\pi\)
−0.390545 + 0.920584i \(0.627714\pi\)
\(272\) −7.72704 + 2.26886i −0.468521 + 0.137570i
\(273\) −1.77648 0.271659i −0.107518 0.0164416i
\(274\) 17.3250 2.49097i 1.04664 0.150485i
\(275\) 21.2469i 1.28124i
\(276\) −2.27898 + 4.21974i −0.137179 + 0.253999i
\(277\) 1.72961 0.103922 0.0519611 0.998649i \(-0.483453\pi\)
0.0519611 + 0.998649i \(0.483453\pi\)
\(278\) 10.1383 1.45766i 0.608052 0.0874247i
\(279\) −4.21654 1.92563i −0.252438 0.115284i
\(280\) −5.92078 9.39665i −0.353834 0.561558i
\(281\) 20.8877 + 18.0993i 1.24606 + 1.07971i 0.993699 + 0.112080i \(0.0357513\pi\)
0.252357 + 0.967634i \(0.418794\pi\)
\(282\) 4.74760 + 1.39402i 0.282715 + 0.0830128i
\(283\) −16.4021 + 10.5410i −0.975002 + 0.626596i −0.928111 0.372304i \(-0.878568\pi\)
−0.0468914 + 0.998900i \(0.514931\pi\)
\(284\) 2.95854 + 6.47830i 0.175557 + 0.384416i
\(285\) 7.92671 6.86853i 0.469537 0.406857i
\(286\) −0.961905 0.618179i −0.0568786 0.0365537i
\(287\) 2.67182 + 19.8412i 0.157713 + 1.17119i
\(288\) 0.142315 0.989821i 0.00838598 0.0583258i
\(289\) 40.2581 + 25.8723i 2.36813 + 1.52190i
\(290\) −6.60041 7.61728i −0.387590 0.447302i
\(291\) −1.58896 + 0.725655i −0.0931466 + 0.0425386i
\(292\) −7.09917 11.0465i −0.415447 0.646449i
\(293\) −17.0327 5.00125i −0.995061 0.292176i −0.256633 0.966509i \(-0.582613\pi\)
−0.738428 + 0.674333i \(0.764431\pi\)
\(294\) −6.90982 1.11999i −0.402989 0.0653189i
\(295\) −5.41294 18.4348i −0.315153 1.07331i
\(296\) −1.08289 0.494541i −0.0629419 0.0287446i
\(297\) −0.239565 1.66621i −0.0139010 0.0966834i
\(298\) 15.6262i 0.905203i
\(299\) 1.96419 + 2.59881i 0.113592 + 0.150293i
\(300\) 12.6218i 0.728721i
\(301\) −3.24570 7.27868i −0.187079 0.419536i
\(302\) −2.18159 + 4.77702i −0.125537 + 0.274887i
\(303\) 6.27979 1.84391i 0.360765 0.105930i
\(304\) 1.63621 1.88828i 0.0938429 0.108301i
\(305\) 52.4866 + 15.4115i 3.00538 + 0.882458i
\(306\) −6.77483 + 4.35392i −0.387291 + 0.248897i
\(307\) −13.0486 + 5.95910i −0.744724 + 0.340104i −0.751376 0.659874i \(-0.770610\pi\)
0.00665260 + 0.999978i \(0.497882\pi\)
\(308\) −3.72502 2.44128i −0.212253 0.139105i
\(309\) −4.91099 + 7.64165i −0.279376 + 0.434718i
\(310\) −19.2607 2.76928i −1.09394 0.157284i
\(311\) −9.60292 1.38069i −0.544532 0.0782918i −0.135441 0.990785i \(-0.543245\pi\)
−0.409091 + 0.912494i \(0.634154\pi\)
\(312\) −0.571424 0.367232i −0.0323505 0.0207904i
\(313\) 14.1843 + 16.3695i 0.801743 + 0.925261i 0.998476 0.0551962i \(-0.0175784\pi\)
−0.196732 + 0.980457i \(0.563033\pi\)
\(314\) 4.66823 + 10.2220i 0.263444 + 0.576861i
\(315\) −8.32829 7.34795i −0.469246 0.414010i
\(316\) −2.22562 + 7.57978i −0.125201 + 0.426396i
\(317\) 15.7078 18.1278i 0.882240 1.01816i −0.117446 0.993079i \(-0.537471\pi\)
0.999685 0.0250797i \(-0.00798395\pi\)
\(318\) 10.0088 2.93886i 0.561268 0.164803i
\(319\) −3.67651 1.67901i −0.205845 0.0940063i
\(320\) −0.597414 4.15511i −0.0333965 0.232278i
\(321\) 4.29501 0.239724
\(322\) 7.55985 + 10.1906i 0.421294 + 0.567901i
\(323\) −20.1215 −1.11959
\(324\) −0.142315 0.989821i −0.00790638 0.0549901i
\(325\) −7.79865 3.56152i −0.432591 0.197558i
\(326\) 10.1016 2.96609i 0.559474 0.164276i
\(327\) −10.0572 + 11.6067i −0.556167 + 0.641851i
\(328\) −2.13186 + 7.26045i −0.117712 + 0.400891i
\(329\) 8.66110 9.81664i 0.477502 0.541209i
\(330\) −2.93549 6.42783i −0.161594 0.353840i
\(331\) −10.8889 12.5665i −0.598508 0.690715i 0.372971 0.927843i \(-0.378339\pi\)
−0.971478 + 0.237129i \(0.923794\pi\)
\(332\) 6.11165 + 3.92772i 0.335420 + 0.215562i
\(333\) −1.17836 0.169422i −0.0645735 0.00928427i
\(334\) −19.0047 2.73246i −1.03989 0.149514i
\(335\) 26.0831 40.5860i 1.42507 2.21745i
\(336\) −2.21286 1.45025i −0.120722 0.0791177i
\(337\) −22.0447 + 10.0675i −1.20085 + 0.548410i −0.912485 0.409111i \(-0.865839\pi\)
−0.288365 + 0.957521i \(0.593112\pi\)
\(338\) 10.5482 6.77889i 0.573744 0.368723i
\(339\) 4.40935 + 1.29470i 0.239483 + 0.0703186i
\(340\) −22.1384 + 25.5491i −1.20062 + 1.38559i
\(341\) −7.48697 + 2.19837i −0.405442 + 0.119049i
\(342\) 1.03794 2.27277i 0.0561253 0.122897i
\(343\) −10.4272 + 15.3060i −0.563017 + 0.826445i
\(344\) 3.01221i 0.162407i
\(345\) 1.52871 + 20.0740i 0.0823029 + 1.08075i
\(346\) 0.896004i 0.0481695i
\(347\) 0.802065 + 5.57849i 0.0430571 + 0.299469i 0.999959 + 0.00905738i \(0.00288309\pi\)
−0.956902 + 0.290411i \(0.906208\pi\)
\(348\) −2.18405 0.997422i −0.117077 0.0534674i
\(349\) 7.74347 + 26.3718i 0.414498 + 1.41165i 0.857200 + 0.514983i \(0.172202\pi\)
−0.442702 + 0.896669i \(0.645980\pi\)
\(350\) −30.2511 14.1436i −1.61699 0.756007i
\(351\) −0.651739 0.191368i −0.0347872 0.0102145i
\(352\) −0.910086 1.41612i −0.0485077 0.0754795i
\(353\) 24.2893 11.0925i 1.29279 0.590396i 0.354114 0.935202i \(-0.384783\pi\)
0.938674 + 0.344806i \(0.112055\pi\)
\(354\) −2.99723 3.45898i −0.159301 0.183843i
\(355\) 25.1506 + 16.1633i 1.33485 + 0.857858i
\(356\) 1.11402 7.74815i 0.0590427 0.410651i
\(357\) 2.84353 + 21.1163i 0.150496 + 1.11759i
\(358\) 13.3583 + 8.58485i 0.706008 + 0.453724i
\(359\) 24.3639 21.1115i 1.28588 1.11422i 0.298744 0.954333i \(-0.403432\pi\)
0.987135 0.159888i \(-0.0511133\pi\)
\(360\) −1.74384 3.81849i −0.0919086 0.201252i
\(361\) −10.7320 + 6.89707i −0.564845 + 0.363004i
\(362\) −6.02963 1.77046i −0.316910 0.0930532i
\(363\) 6.17171 + 5.34782i 0.323931 + 0.280688i
\(364\) −1.52048 + 0.958044i −0.0796946 + 0.0502151i
\(365\) −50.1406 22.8985i −2.62448 1.19856i
\(366\) 12.8985 1.85452i 0.674214 0.0969373i
\(367\) −29.3467 −1.53189 −0.765943 0.642909i \(-0.777727\pi\)
−0.765943 + 0.642909i \(0.777727\pi\)
\(368\) 1.04101 + 4.68149i 0.0542662 + 0.244039i
\(369\) 7.56696i 0.393920i
\(370\) −4.94655 + 0.711206i −0.257159 + 0.0369738i
\(371\) 4.17191 27.2817i 0.216595 1.41640i
\(372\) −4.44767 + 1.30595i −0.230601 + 0.0677106i
\(373\) −6.47034 5.60658i −0.335021 0.290298i 0.471061 0.882100i \(-0.343871\pi\)
−0.806083 + 0.591803i \(0.798416\pi\)
\(374\) −3.81928 + 13.0073i −0.197490 + 0.672591i
\(375\) −17.2979 26.9160i −0.893259 1.38994i
\(376\) 4.50089 2.05549i 0.232116 0.106004i
\(377\) −1.23256 + 1.06802i −0.0634799 + 0.0550056i
\(378\) −2.53181 0.768070i −0.130222 0.0395053i
\(379\) −17.4805 2.51332i −0.897913 0.129100i −0.322123 0.946698i \(-0.604396\pi\)
−0.575790 + 0.817598i \(0.695305\pi\)
\(380\) 1.49267 10.3818i 0.0765726 0.532574i
\(381\) 2.08102 3.23812i 0.106614 0.165894i
\(382\) −5.57079 + 4.82712i −0.285027 + 0.246977i
\(383\) 6.18428 + 13.5417i 0.316002 + 0.691947i 0.999269 0.0382207i \(-0.0121690\pi\)
−0.683267 + 0.730168i \(0.739442\pi\)
\(384\) −0.540641 0.841254i −0.0275895 0.0429300i
\(385\) −18.6952 0.167224i −0.952796 0.00852251i
\(386\) −0.222382 + 0.256643i −0.0113189 + 0.0130628i
\(387\) −0.848637 2.89019i −0.0431386 0.146917i
\(388\) −0.725655 + 1.58896i −0.0368396 + 0.0806674i
\(389\) 29.2599 4.20693i 1.48353 0.213300i 0.647537 0.762034i \(-0.275799\pi\)
0.835997 + 0.548734i \(0.184890\pi\)
\(390\) −2.85139 −0.144386
\(391\) 23.0026 31.0249i 1.16329 1.56899i
\(392\) −5.95553 + 3.67854i −0.300800 + 0.185794i
\(393\) 0.255167 + 1.77473i 0.0128715 + 0.0895232i
\(394\) 1.56218 3.42070i 0.0787014 0.172332i
\(395\) 9.34280 + 31.8186i 0.470087 + 1.60097i
\(396\) −1.27219 1.10236i −0.0639299 0.0553955i
\(397\) −2.29306 + 7.80946i −0.115086 + 0.391946i −0.996809 0.0798207i \(-0.974565\pi\)
0.881724 + 0.471766i \(0.156383\pi\)
\(398\) −1.20111 + 0.771909i −0.0602064 + 0.0386923i
\(399\) −4.28414 5.03445i −0.214475 0.252038i
\(400\) −8.26553 9.53893i −0.413277 0.476947i
\(401\) −9.61930 + 14.9679i −0.480365 + 0.747462i −0.993862 0.110629i \(-0.964713\pi\)
0.513497 + 0.858091i \(0.328350\pi\)
\(402\) 1.63559 11.3758i 0.0815758 0.567372i
\(403\) −0.448098 + 3.11659i −0.0223213 + 0.155248i
\(404\) 3.53844 5.50593i 0.176044 0.273930i
\(405\) −2.74900 3.17251i −0.136599 0.157643i
\(406\) −4.83793 + 4.11691i −0.240102 + 0.204319i
\(407\) −1.68585 + 1.08343i −0.0835647 + 0.0537038i
\(408\) −2.26886 + 7.72704i −0.112326 + 0.382546i
\(409\) 2.42748 + 2.10342i 0.120031 + 0.104008i 0.712808 0.701359i \(-0.247423\pi\)
−0.592777 + 0.805367i \(0.701968\pi\)
\(410\) 8.94919 + 30.4782i 0.441969 + 1.50521i
\(411\) 7.27109 15.9215i 0.358657 0.785349i
\(412\) 1.29274 + 8.99118i 0.0636886 + 0.442964i
\(413\) −11.6489 + 3.30753i −0.573203 + 0.162753i
\(414\) 2.31777 + 4.19857i 0.113912 + 0.206348i
\(415\) 30.4970 1.49704
\(416\) −0.672340 + 0.0966678i −0.0329642 + 0.00473953i
\(417\) 4.25489 9.31691i 0.208363 0.456251i
\(418\) −1.18495 4.03557i −0.0579578 0.197386i
\(419\) −7.28187 + 8.40372i −0.355743 + 0.410549i −0.905209 0.424967i \(-0.860286\pi\)
0.549466 + 0.835516i \(0.314831\pi\)
\(420\) −11.1060 0.0993400i −0.541916 0.00484730i
\(421\) −8.52043 13.2580i −0.415260 0.646157i 0.569112 0.822260i \(-0.307287\pi\)
−0.984372 + 0.176103i \(0.943651\pi\)
\(422\) −0.262902 0.575675i −0.0127979 0.0280234i
\(423\) 3.73947 3.24027i 0.181819 0.157547i
\(424\) 5.63964 8.77545i 0.273885 0.426173i
\(425\) −14.4658 + 100.612i −0.701696 + 4.88041i
\(426\) 7.04940 + 1.01355i 0.341545 + 0.0491067i
\(427\) 10.0088 32.9923i 0.484360 1.59661i
\(428\) 3.24595 2.81263i 0.156899 0.135954i
\(429\) −1.04009 + 0.474993i −0.0502160 + 0.0229329i
\(430\) −6.83626 10.6374i −0.329674 0.512983i
\(431\) 10.0332 34.1698i 0.483280 1.64590i −0.251695 0.967807i \(-0.580988\pi\)
0.734975 0.678094i \(-0.237194\pi\)
\(432\) −0.755750 0.654861i −0.0363610 0.0315070i
\(433\) −2.41981 + 0.710521i −0.116289 + 0.0341455i −0.339359 0.940657i \(-0.610210\pi\)
0.223070 + 0.974802i \(0.428392\pi\)
\(434\) −1.85389 + 12.1233i −0.0889895 + 0.581936i
\(435\) −9.97652 + 1.43441i −0.478338 + 0.0687746i
\(436\) 15.3578i 0.735507i
\(437\) −0.799759 + 11.9559i −0.0382577 + 0.571930i
\(438\) −13.1310 −0.627425
\(439\) −28.0684 + 4.03563i −1.33963 + 0.192610i −0.774596 0.632456i \(-0.782047\pi\)
−0.565036 + 0.825066i \(0.691138\pi\)
\(440\) −6.42783 2.93549i −0.306435 0.139944i
\(441\) −4.67792 + 5.20740i −0.222758 + 0.247971i
\(442\) 4.13410 + 3.58222i 0.196639 + 0.170389i
\(443\) −28.5271 8.37631i −1.35536 0.397971i −0.478237 0.878231i \(-0.658724\pi\)
−0.877126 + 0.480260i \(0.840542\pi\)
\(444\) −1.00149 + 0.643619i −0.0475286 + 0.0305448i
\(445\) −13.6505 29.8904i −0.647096 1.41694i
\(446\) 20.0708 17.3914i 0.950379 0.823508i
\(447\) 13.1456 + 8.44817i 0.621766 + 0.399585i
\(448\) −2.62208 + 0.353091i −0.123882 + 0.0166820i
\(449\) −4.62534 + 32.1700i −0.218283 + 1.51819i 0.526089 + 0.850430i \(0.323658\pi\)
−0.744372 + 0.667765i \(0.767251\pi\)
\(450\) −10.6181 6.82387i −0.500544 0.321680i
\(451\) 8.34149 + 9.62660i 0.392786 + 0.453299i
\(452\) 4.18021 1.90904i 0.196621 0.0897937i
\(453\) 2.83923 + 4.41793i 0.133399 + 0.207572i
\(454\) −18.6512 5.47649i −0.875344 0.257024i
\(455\) −3.19518 + 6.83403i −0.149792 + 0.320384i
\(456\) −0.703925 2.39735i −0.0329643 0.112266i
\(457\) 9.34680 + 4.26854i 0.437225 + 0.199674i 0.621852 0.783135i \(-0.286380\pi\)
−0.184627 + 0.982809i \(0.559108\pi\)
\(458\) −3.69806 25.7206i −0.172799 1.20184i
\(459\) 8.05326i 0.375894i
\(460\) 14.3010 + 14.1698i 0.666787 + 0.660671i
\(461\) 9.69457i 0.451521i 0.974183 + 0.225761i \(0.0724867\pi\)
−0.974183 + 0.225761i \(0.927513\pi\)
\(462\) −4.06763 + 1.81383i −0.189243 + 0.0843870i
\(463\) −15.7499 + 34.4874i −0.731959 + 1.60277i 0.0643856 + 0.997925i \(0.479491\pi\)
−0.796345 + 0.604843i \(0.793236\pi\)
\(464\) −2.30377 + 0.676447i −0.106950 + 0.0314033i
\(465\) −12.7428 + 14.7060i −0.590934 + 0.681974i
\(466\) 5.94049 + 1.74429i 0.275188 + 0.0808025i
\(467\) −28.9956 + 18.6344i −1.34176 + 0.862296i −0.997075 0.0764238i \(-0.975650\pi\)
−0.344683 + 0.938719i \(0.612013\pi\)
\(468\) −0.617871 + 0.282172i −0.0285611 + 0.0130434i
\(469\) −25.4319 16.6674i −1.17434 0.769629i
\(470\) 11.2297 17.4737i 0.517986 0.806001i
\(471\) 11.1231 + 1.59926i 0.512527 + 0.0736902i
\(472\) −4.53031 0.651360i −0.208524 0.0299813i
\(473\) −4.26565 2.74137i −0.196135 0.126048i
\(474\) 5.17325 + 5.97025i 0.237615 + 0.274223i
\(475\) −13.1007 28.6865i −0.601100 1.31623i
\(476\) 15.9772 + 14.0965i 0.732316 + 0.646113i
\(477\) 2.93886 10.0088i 0.134561 0.458274i
\(478\) 19.9259 22.9957i 0.911390 1.05180i
\(479\) 6.60479 1.93934i 0.301781 0.0886108i −0.127337 0.991860i \(-0.540643\pi\)
0.429117 + 0.903249i \(0.358825\pi\)
\(480\) −3.81849 1.74384i −0.174289 0.0795952i
\(481\) 0.115081 + 0.800403i 0.00524722 + 0.0364952i
\(482\) −18.0400 −0.821699
\(483\) 12.6601 0.850290i 0.576052 0.0386895i
\(484\) 8.16635 0.371198
\(485\) 1.04357 + 7.25822i 0.0473863 + 0.329579i
\(486\) −0.909632 0.415415i −0.0412617 0.0188436i
\(487\) −7.03638 + 2.06607i −0.318849 + 0.0936225i −0.437241 0.899344i \(-0.644044\pi\)
0.118392 + 0.992967i \(0.462226\pi\)
\(488\) 8.53356 9.84826i 0.386296 0.445810i
\(489\) 2.96609 10.1016i 0.134131 0.456809i
\(490\) −12.6831 + 26.5068i −0.572964 + 1.19745i
\(491\) −0.532039 1.16500i −0.0240106 0.0525758i 0.897247 0.441529i \(-0.145564\pi\)
−0.921257 + 0.388954i \(0.872837\pi\)
\(492\) 4.95531 + 5.71873i 0.223402 + 0.257820i
\(493\) 16.2665 + 10.4539i 0.732608 + 0.470819i
\(494\) −1.67988 0.241530i −0.0755814 0.0108670i
\(495\) −6.99448 1.00565i −0.314379 0.0452008i
\(496\) −2.50611 + 3.89958i −0.112528 + 0.175096i
\(497\) 10.3285 15.7598i 0.463298 0.706923i
\(498\) 6.60841 3.01796i 0.296130 0.135238i
\(499\) −34.0846 + 21.9048i −1.52584 + 0.980595i −0.535101 + 0.844788i \(0.679726\pi\)
−0.990735 + 0.135807i \(0.956637\pi\)
\(500\) −30.6991 9.01407i −1.37291 0.403122i
\(501\) −12.5734 + 14.5105i −0.561738 + 0.648280i
\(502\) −6.19287 + 1.81839i −0.276401 + 0.0811587i
\(503\) −5.07150 + 11.1050i −0.226127 + 0.495149i −0.988356 0.152158i \(-0.951378\pi\)
0.762229 + 0.647307i \(0.224105\pi\)
\(504\) −2.41639 + 1.07751i −0.107635 + 0.0479963i
\(505\) 27.4744i 1.22260i
\(506\) 7.57695 + 2.78636i 0.336837 + 0.123869i
\(507\) 12.5386i 0.556859i
\(508\) −0.547793 3.80999i −0.0243044 0.169041i
\(509\) −3.66654 1.67445i −0.162517 0.0742188i 0.332496 0.943105i \(-0.392109\pi\)
−0.495012 + 0.868886i \(0.664837\pi\)
\(510\) 9.52432 + 32.4369i 0.421744 + 1.43633i
\(511\) −14.7142 + 31.4716i −0.650918 + 1.39222i
\(512\) −0.959493 0.281733i −0.0424040 0.0124509i
\(513\) −1.35082 2.10192i −0.0596403 0.0928021i
\(514\) −13.1675 + 6.01338i −0.580792 + 0.265239i
\(515\) 24.9709 + 28.8180i 1.10035 + 1.26987i
\(516\) −2.53403 1.62852i −0.111554 0.0716917i
\(517\) 1.18538 8.24447i 0.0521328 0.362591i
\(518\) 0.420346 + 3.12152i 0.0184689 + 0.137152i
\(519\) 0.753767 + 0.484417i 0.0330867 + 0.0212635i
\(520\) −2.15494 + 1.86727i −0.0945004 + 0.0818850i
\(521\) −3.01035 6.59176i −0.131886 0.288790i 0.832155 0.554543i \(-0.187107\pi\)
−0.964041 + 0.265753i \(0.914380\pi\)
\(522\) −2.01987 + 1.29809i −0.0884074 + 0.0568160i
\(523\) −32.2675 9.47459i −1.41096 0.414295i −0.514526 0.857474i \(-0.672032\pi\)
−0.896433 + 0.443179i \(0.853850\pi\)
\(524\) 1.35504 + 1.17415i 0.0591953 + 0.0512930i
\(525\) −28.2533 + 17.8023i −1.23308 + 0.776955i
\(526\) 9.12676 + 4.16805i 0.397946 + 0.181736i
\(527\) 36.9504 5.31267i 1.60958 0.231423i
\(528\) −1.68335 −0.0732582
\(529\) −17.5203 14.9010i −0.761752 0.647869i
\(530\) 43.7893i 1.90208i
\(531\) −4.53031 + 0.651360i −0.196599 + 0.0282666i
\(532\) −6.53460 0.999269i −0.283311 0.0433238i
\(533\) 4.93168 1.44807i 0.213615 0.0627230i
\(534\) −5.91588 5.12614i −0.256005 0.221830i
\(535\) 5.07956 17.2994i 0.219609 0.747918i
\(536\) −6.21346 9.66833i −0.268380 0.417608i
\(537\) 14.4441 6.59639i 0.623308 0.284655i
\(538\) 11.8366 10.2565i 0.510313 0.442188i
\(539\) −0.210782 + 11.7815i −0.00907903 + 0.507467i
\(540\) −4.15511 0.597414i −0.178807 0.0257086i
\(541\) −4.41898 + 30.7347i −0.189987 + 1.32139i 0.642048 + 0.766664i \(0.278085\pi\)
−0.832035 + 0.554723i \(0.812824\pi\)
\(542\) 5.47710 8.52253i 0.235262 0.366074i
\(543\) −4.74927 + 4.11526i −0.203811 + 0.176603i
\(544\) 3.34544 + 7.32550i 0.143435 + 0.314078i
\(545\) 34.8549 + 54.2353i 1.49302 + 2.32319i
\(546\) −0.0160742 + 1.79706i −0.000687914 + 0.0769072i
\(547\) 30.4999 35.1988i 1.30408 1.50499i 0.581992 0.813194i \(-0.302273\pi\)
0.722091 0.691798i \(-0.243181\pi\)
\(548\) −4.93122 16.7942i −0.210651 0.717413i
\(549\) 5.41332 11.8535i 0.231035 0.505896i
\(550\) −21.0306 + 3.02375i −0.896749 + 0.128933i
\(551\) −5.99910 −0.255570
\(552\) 4.50113 + 1.65525i 0.191581 + 0.0704522i
\(553\) 20.1061 5.70884i 0.854997 0.242764i
\(554\) −0.246149 1.71201i −0.0104579 0.0727361i
\(555\) −2.07600 + 4.54581i −0.0881213 + 0.192959i
\(556\) −2.88565 9.82762i −0.122379 0.416784i
\(557\) −4.04560 3.50553i −0.171418 0.148534i 0.564927 0.825141i \(-0.308904\pi\)
−0.736345 + 0.676607i \(0.763450\pi\)
\(558\) −1.30595 + 4.44767i −0.0552854 + 0.188285i
\(559\) −1.72125 + 1.10618i −0.0728010 + 0.0467864i
\(560\) −8.45840 + 7.19780i −0.357432 + 0.304162i
\(561\) 8.87757 + 10.2453i 0.374811 + 0.432555i
\(562\) 14.9425 23.2509i 0.630309 0.980780i
\(563\) −4.34906 + 30.2484i −0.183291 + 1.27482i 0.665624 + 0.746287i \(0.268165\pi\)
−0.848915 + 0.528529i \(0.822744\pi\)
\(564\) 0.704178 4.89767i 0.0296512 0.206229i
\(565\) 10.4296 16.2288i 0.438776 0.682749i
\(566\) 12.7679 + 14.7350i 0.536677 + 0.619358i
\(567\) −2.01494 + 1.71464i −0.0846196 + 0.0720083i
\(568\) 5.99132 3.85039i 0.251390 0.161559i
\(569\) −2.86724 + 9.76493i −0.120201 + 0.409367i −0.997507 0.0705639i \(-0.977520\pi\)
0.877306 + 0.479931i \(0.159338\pi\)
\(570\) −7.92671 6.86853i −0.332013 0.287691i
\(571\) −0.0389780 0.132747i −0.00163118 0.00555528i 0.958673 0.284509i \(-0.0918306\pi\)
−0.960305 + 0.278954i \(0.910012\pi\)
\(572\) −0.474993 + 1.04009i −0.0198605 + 0.0434884i
\(573\) 1.04903 + 7.29619i 0.0438240 + 0.304803i
\(574\) 19.2590 5.46833i 0.803856 0.228244i
\(575\) 59.2074 + 12.5944i 2.46912 + 0.525222i
\(576\) −1.00000 −0.0416667
\(577\) −35.0599 + 5.04085i −1.45956 + 0.209853i −0.825927 0.563778i \(-0.809348\pi\)
−0.633636 + 0.773631i \(0.718438\pi\)
\(578\) 19.8797 43.5304i 0.826885 1.81063i
\(579\) 0.0956726 + 0.325831i 0.00397602 + 0.0135411i
\(580\) −6.60041 + 7.61728i −0.274067 + 0.316290i
\(581\) 0.171922 19.2204i 0.00713251 0.797398i
\(582\) 0.944402 + 1.46952i 0.0391467 + 0.0609135i
\(583\) −7.29454 15.9728i −0.302109 0.661526i
\(584\) −9.92377 + 8.59899i −0.410648 + 0.355829i
\(585\) −1.54158 + 2.39875i −0.0637365 + 0.0991759i
\(586\) −2.52634 + 17.5711i −0.104362 + 0.725855i
\(587\) −18.2999 2.63113i −0.755318 0.108598i −0.246110 0.969242i \(-0.579153\pi\)
−0.509208 + 0.860643i \(0.670062\pi\)
\(588\) −0.125216 + 6.99888i −0.00516383 + 0.288629i
\(589\) −8.75302 + 7.58454i −0.360662 + 0.312515i
\(590\) −17.4768 + 7.98138i −0.719508 + 0.328588i
\(591\) −2.03309 3.16356i −0.0836303 0.130131i
\(592\) −0.335395 + 1.14225i −0.0137847 + 0.0469462i
\(593\) 21.2615 + 18.4232i 0.873106 + 0.756551i 0.971109 0.238635i \(-0.0767001\pi\)
−0.0980032 + 0.995186i \(0.531246\pi\)
\(594\) −1.61516 + 0.474253i −0.0662708 + 0.0194589i
\(595\) 88.4151 + 13.5204i 3.62467 + 0.554283i
\(596\) 15.4672 2.22384i 0.633560 0.0910922i
\(597\) 1.42777i 0.0584346i
\(598\) 2.29282 2.31405i 0.0937605 0.0946285i
\(599\) −11.0109 −0.449893 −0.224946 0.974371i \(-0.572221\pi\)
−0.224946 + 0.974371i \(0.572221\pi\)
\(600\) −12.4933 + 1.79627i −0.510039 + 0.0733325i
\(601\) 4.88971 + 2.23305i 0.199455 + 0.0910882i 0.512639 0.858605i \(-0.328668\pi\)
−0.313183 + 0.949693i \(0.601395\pi\)
\(602\) −6.74268 + 4.24852i −0.274811 + 0.173157i
\(603\) −8.68565 7.52616i −0.353707 0.306489i
\(604\) 5.03887 + 1.47955i 0.205029 + 0.0602019i
\(605\) 28.8390 18.5337i 1.17247 0.753502i
\(606\) −2.71885 5.95346i −0.110446 0.241843i
\(607\) −10.4381 + 9.04463i −0.423668 + 0.367110i −0.840443 0.541899i \(-0.817705\pi\)
0.416776 + 0.909009i \(0.363160\pi\)
\(608\) −2.10192 1.35082i −0.0852441 0.0547831i
\(609\) 0.847780 + 6.29569i 0.0343538 + 0.255114i
\(610\) 7.78497 54.1457i 0.315204 2.19229i
\(611\) −2.82742 1.81708i −0.114385 0.0735110i
\(612\) 5.27376 + 6.08625i 0.213179 + 0.246022i
\(613\) 34.7202 15.8562i 1.40233 0.640425i 0.436528 0.899691i \(-0.356208\pi\)
0.965806 + 0.259266i \(0.0834807\pi\)
\(614\) 7.75546 + 12.0677i 0.312985 + 0.487014i
\(615\) 30.4782 + 8.94919i 1.22900 + 0.360866i
\(616\) −1.88630 + 4.03453i −0.0760013 + 0.162556i
\(617\) −9.51827 32.4163i −0.383191 1.30503i −0.895052 0.445961i \(-0.852862\pi\)
0.511861 0.859068i \(-0.328956\pi\)
\(618\) 8.26277 + 3.77348i 0.332377 + 0.151792i
\(619\) 3.47733 + 24.1853i 0.139766 + 0.972091i 0.932151 + 0.362070i \(0.117930\pi\)
−0.792385 + 0.610021i \(0.791161\pi\)
\(620\) 19.4588i 0.781484i
\(621\) 4.78514 + 0.320088i 0.192021 + 0.0128447i
\(622\) 9.70167i 0.389002i
\(623\) −18.9151 + 8.43460i −0.757818 + 0.337925i
\(624\) −0.282172 + 0.617871i −0.0112959 + 0.0247346i
\(625\) −68.3171 + 20.0597i −2.73268 + 0.802388i
\(626\) 14.1843 16.3695i 0.566918 0.654258i
\(627\) −4.03557 1.18495i −0.161165 0.0473223i
\(628\) 9.45360 6.07546i 0.377240 0.242437i
\(629\) 8.72082 3.98266i 0.347722 0.158799i
\(630\) −6.08792 + 9.28924i −0.242548 + 0.370092i
\(631\) −18.8275 + 29.2962i −0.749512 + 1.16626i 0.231598 + 0.972812i \(0.425605\pi\)
−0.981110 + 0.193452i \(0.938032\pi\)
\(632\) 7.81936 + 1.12425i 0.311038 + 0.0447205i
\(633\) −0.626424 0.0900662i −0.0248981 0.00357981i
\(634\) −20.1787 12.9681i −0.801400 0.515029i
\(635\) −10.5813 12.2115i −0.419908 0.484599i
\(636\) −4.33336 9.48873i −0.171829 0.376253i
\(637\) 4.28907 + 2.05226i 0.169939 + 0.0813133i
\(638\) −1.13869 + 3.87804i −0.0450814 + 0.153533i
\(639\) 4.66385 5.38237i 0.184499 0.212923i
\(640\) −4.02779 + 1.18267i −0.159213 + 0.0467490i
\(641\) 29.3608 + 13.4086i 1.15968 + 0.529610i 0.899917 0.436062i \(-0.143627\pi\)
0.259766 + 0.965671i \(0.416354\pi\)
\(642\) −0.611243 4.25129i −0.0241239 0.167785i
\(643\) −1.63850 −0.0646163 −0.0323082 0.999478i \(-0.510286\pi\)
−0.0323082 + 0.999478i \(0.510286\pi\)
\(644\) 9.01101 8.93318i 0.355084 0.352017i
\(645\) −12.6447 −0.497886
\(646\) 2.86359 + 19.9167i 0.112667 + 0.783613i
\(647\) −26.5503 12.1251i −1.04380 0.476687i −0.181662 0.983361i \(-0.558148\pi\)
−0.862138 + 0.506674i \(0.830875\pi\)
\(648\) −0.959493 + 0.281733i −0.0376924 + 0.0110675i
\(649\) −5.04537 + 5.82267i −0.198048 + 0.228560i
\(650\) −2.41541 + 8.22613i −0.0947402 + 0.322655i
\(651\) 9.19647 + 8.11393i 0.360438 + 0.318010i
\(652\) −4.37350 9.57663i −0.171280 0.375050i
\(653\) 7.63546 + 8.81179i 0.298799 + 0.344832i 0.885219 0.465175i \(-0.154009\pi\)
−0.586420 + 0.810007i \(0.699463\pi\)
\(654\) 12.9198 + 8.30307i 0.505205 + 0.324676i
\(655\) 7.45002 + 1.07115i 0.291096 + 0.0418533i
\(656\) 7.48994 + 1.07689i 0.292433 + 0.0420455i
\(657\) −7.09917 + 11.0465i −0.276965 + 0.430966i
\(658\) −10.9493 7.17589i −0.426849 0.279745i
\(659\) −34.5414 + 15.7745i −1.34554 + 0.614488i −0.952361 0.304974i \(-0.901352\pi\)
−0.393180 + 0.919462i \(0.628625\pi\)
\(660\) −5.94464 + 3.82039i −0.231395 + 0.148708i
\(661\) 7.54410 + 2.21515i 0.293432 + 0.0861593i 0.425135 0.905130i \(-0.360227\pi\)
−0.131704 + 0.991289i \(0.542045\pi\)
\(662\) −10.8889 + 12.5665i −0.423209 + 0.488409i
\(663\) 5.24862 1.54113i 0.203840 0.0598527i
\(664\) 3.01796 6.60841i 0.117120 0.256456i
\(665\) −25.3444 + 11.3016i −0.982815 + 0.438255i
\(666\) 1.19047i 0.0461299i
\(667\) 6.85809 9.24986i 0.265546 0.358156i
\(668\) 19.2001i 0.742874i
\(669\) −3.77952 26.2871i −0.146125 1.01632i
\(670\) −43.8849 20.0416i −1.69542 0.774274i
\(671\) −6.18005 21.0473i −0.238578 0.812522i
\(672\) −1.12057 + 2.39673i −0.0432268 + 0.0924560i
\(673\) −31.2930 9.18847i −1.20626 0.354189i −0.384016 0.923327i \(-0.625459\pi\)
−0.822243 + 0.569137i \(0.807277\pi\)
\(674\) 13.1023 + 20.3875i 0.504681 + 0.785298i
\(675\) −11.4812 + 5.24329i −0.441912 + 0.201814i
\(676\) −8.21105 9.47605i −0.315809 0.364464i
\(677\) −28.4544 18.2866i −1.09359 0.702810i −0.135935 0.990718i \(-0.543404\pi\)
−0.957658 + 0.287908i \(0.907040\pi\)
\(678\) 0.654008 4.54873i 0.0251170 0.174693i
\(679\) 4.58031 0.616786i 0.175776 0.0236701i
\(680\) 28.4396 + 18.2770i 1.09061 + 0.700892i
\(681\) −14.6907 + 12.7296i −0.562950 + 0.487799i
\(682\) 3.24150 + 7.09790i 0.124124 + 0.271793i
\(683\) −27.3223 + 17.5590i −1.04546 + 0.671875i −0.946331 0.323200i \(-0.895241\pi\)
−0.0991273 + 0.995075i \(0.531605\pi\)
\(684\) −2.39735 0.703925i −0.0916649 0.0269152i
\(685\) −55.5291 48.1163i −2.12166 1.83843i
\(686\) 16.6341 + 8.14282i 0.635094 + 0.310894i
\(687\) −23.6368 10.7946i −0.901801 0.411839i
\(688\) −2.98155 + 0.428682i −0.113670 + 0.0163433i
\(689\) −7.08556 −0.269938
\(690\) 19.6521 4.36997i 0.748143 0.166362i
\(691\) 16.2251i 0.617232i 0.951187 + 0.308616i \(0.0998659\pi\)
−0.951187 + 0.308616i \(0.900134\pi\)
\(692\) 0.886884 0.127515i 0.0337143 0.00484738i
\(693\) −0.673235 + 4.40254i −0.0255741 + 0.167239i
\(694\) 5.40756 1.58780i 0.205268 0.0602722i
\(695\) −32.4945 28.1566i −1.23259 1.06804i
\(696\) −0.676447 + 2.30377i −0.0256407 + 0.0873241i
\(697\) −32.9459 51.2649i −1.24792 1.94180i
\(698\) 25.0014 11.4178i 0.946317 0.432169i
\(699\) 4.67906 4.05443i 0.176978 0.153352i
\(700\) −9.69445 + 31.9561i −0.366416 + 1.20783i
\(701\) 23.0637 + 3.31606i 0.871105 + 0.125246i 0.563348 0.826219i \(-0.309513\pi\)
0.307756 + 0.951465i \(0.400422\pi\)
\(702\) −0.0966678 + 0.672340i −0.00364849 + 0.0253758i
\(703\) −1.60812 + 2.50228i −0.0606514 + 0.0943754i
\(704\) −1.27219 + 1.10236i −0.0479474 + 0.0415467i
\(705\) −8.62859 18.8940i −0.324972 0.711588i
\(706\) −14.4364 22.4634i −0.543320 0.845422i
\(707\) −17.3155 0.154883i −0.651217 0.00582496i
\(708\) −2.99723 + 3.45898i −0.112643 + 0.129997i
\(709\) −3.35011 11.4094i −0.125816 0.428490i 0.872360 0.488864i \(-0.162589\pi\)
−0.998176 + 0.0603744i \(0.980771\pi\)
\(710\) 12.4195 27.1948i 0.466094 1.02060i
\(711\) 7.81936 1.12425i 0.293249 0.0421628i
\(712\) −7.82783 −0.293360
\(713\) −1.68807 22.1666i −0.0632187 0.830146i
\(714\) 20.4967 5.81975i 0.767070 0.217799i
\(715\) 0.683094 + 4.75103i 0.0255463 + 0.177678i
\(716\) 6.59639 14.4441i 0.246519 0.539800i
\(717\) −8.57247 29.1952i −0.320145 1.09031i
\(718\) −24.3639 21.1115i −0.909254 0.787873i
\(719\) 7.40788 25.2289i 0.276267 0.940881i −0.698115 0.715985i \(-0.745978\pi\)
0.974383 0.224895i \(-0.0722040\pi\)
\(720\) −3.53144 + 2.26952i −0.131609 + 0.0845801i
\(721\) 18.3030 15.5752i 0.681640 0.580052i
\(722\) 8.35419 + 9.64125i 0.310911 + 0.358810i
\(723\) −9.75315 + 15.1762i −0.362724 + 0.564409i
\(724\) −0.894332 + 6.22022i −0.0332376 + 0.231173i
\(725\) −4.31290 + 29.9969i −0.160177 + 1.11406i
\(726\) 4.41506 6.86997i 0.163858 0.254968i
\(727\) 6.74603 + 7.78534i 0.250197 + 0.288742i 0.866930 0.498430i \(-0.166090\pi\)
−0.616734 + 0.787172i \(0.711544\pi\)
\(728\) 1.16468 + 1.36866i 0.0431659 + 0.0507258i
\(729\) −0.841254 + 0.540641i −0.0311575 + 0.0200237i
\(730\) −15.5296 + 52.8891i −0.574777 + 1.95751i
\(731\) 18.3330 + 15.8857i 0.678071 + 0.587552i
\(732\) −3.67129 12.5033i −0.135695 0.462134i
\(733\) −12.1147 + 26.5276i −0.447468 + 0.979819i 0.542699 + 0.839928i \(0.317403\pi\)
−0.990167 + 0.139891i \(0.955325\pi\)
\(734\) 4.17647 + 29.0480i 0.154156 + 1.07218i
\(735\) 15.4419 + 25.0003i 0.569583 + 0.922151i
\(736\) 4.48568 1.69666i 0.165345 0.0625396i
\(737\) −19.3463 −0.712630
\(738\) 7.48994 1.07689i 0.275708 0.0396409i
\(739\) 4.59288 10.0570i 0.168952 0.369953i −0.806150 0.591712i \(-0.798452\pi\)
0.975102 + 0.221759i \(0.0711797\pi\)
\(740\) 1.40793 + 4.79498i 0.0517567 + 0.176267i
\(741\) −1.11140 + 1.28262i −0.0408283 + 0.0471183i
\(742\) −27.5978 0.246855i −1.01315 0.00906232i
\(743\) 14.5292 + 22.6079i 0.533026 + 0.829404i 0.998448 0.0556844i \(-0.0177341\pi\)
−0.465423 + 0.885088i \(0.654098\pi\)
\(744\) 1.92563 + 4.21654i 0.0705970 + 0.154586i
\(745\) 49.5744 42.9564i 1.81626 1.57380i
\(746\) −4.62869 + 7.20238i −0.169468 + 0.263698i
\(747\) 1.03391 7.19098i 0.0378287 0.263104i
\(748\) 13.4184 + 1.92928i 0.490626 + 0.0705414i
\(749\) −10.8741 3.29887i −0.397333 0.120538i
\(750\) −24.1803 + 20.9524i −0.882940 + 0.765072i
\(751\) 23.4276 10.6990i 0.854887 0.390414i 0.0607503 0.998153i \(-0.480651\pi\)
0.794137 + 0.607739i \(0.207923\pi\)
\(752\) −2.67511 4.16255i −0.0975511 0.151793i
\(753\) −1.81839 + 6.19287i −0.0662658 + 0.225681i
\(754\) 1.23256 + 1.06802i 0.0448870 + 0.0388948i
\(755\) 21.1524 6.21089i 0.769813 0.226037i
\(756\) −0.399938 + 2.61535i −0.0145456 + 0.0951193i
\(757\) 8.19794 1.17869i 0.297959 0.0428401i 0.00828599 0.999966i \(-0.497362\pi\)
0.289673 + 0.957126i \(0.406453\pi\)
\(758\) 17.6602i 0.641449i
\(759\) 6.44045 4.86772i 0.233773 0.176687i
\(760\) −10.4885 −0.380459
\(761\) 21.8186 3.13705i 0.790925 0.113718i 0.264999 0.964249i \(-0.414628\pi\)
0.525925 + 0.850531i \(0.323719\pi\)
\(762\) −3.50132 1.59900i −0.126840 0.0579257i
\(763\) 34.3778 21.6612i 1.24456 0.784190i
\(764\) 5.57079 + 4.82712i 0.201544 + 0.174639i
\(765\) 32.4369 + 9.52432i 1.17276 + 0.344352i
\(766\) 12.5237 8.04851i 0.452501 0.290805i
\(767\) 1.29147 + 2.82793i 0.0466323 + 0.102111i
\(768\) −0.755750 + 0.654861i −0.0272708 + 0.0236303i
\(769\) 32.9667 + 21.1864i 1.18881 + 0.764003i 0.976986 0.213305i \(-0.0684227\pi\)
0.211826 + 0.977307i \(0.432059\pi\)
\(770\) 2.49508 + 18.5287i 0.0899166 + 0.667729i
\(771\) −2.06009 + 14.3283i −0.0741924 + 0.516020i
\(772\) 0.285679 + 0.183594i 0.0102818 + 0.00660771i
\(773\) −32.4146 37.4084i −1.16587 1.34549i −0.927281 0.374367i \(-0.877860\pi\)
−0.238590 0.971120i \(-0.576685\pi\)
\(774\) −2.74000