Properties

Label 966.2.s.a.97.10
Level $966$
Weight $2$
Character 966.97
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 97.10
Character \(\chi\) \(=\) 966.97
Dual form 966.2.s.a.727.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.959493 - 0.281733i) q^{2} +(0.755750 + 0.654861i) q^{3} +(0.841254 + 0.540641i) q^{4} +(-0.286709 + 1.99411i) q^{5} +(-0.540641 - 0.841254i) q^{6} +(-1.39543 + 2.24784i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(0.142315 + 0.989821i) q^{9} +O(q^{10})\) \(q+(-0.959493 - 0.281733i) q^{2} +(0.755750 + 0.654861i) q^{3} +(0.841254 + 0.540641i) q^{4} +(-0.286709 + 1.99411i) q^{5} +(-0.540641 - 0.841254i) q^{6} +(-1.39543 + 2.24784i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(0.142315 + 0.989821i) q^{9} +(0.836900 - 1.83256i) q^{10} +(1.11026 + 3.78120i) q^{11} +(0.281733 + 0.959493i) q^{12} +(-4.06031 - 1.85428i) q^{13} +(1.97219 - 1.76365i) q^{14} +(-1.52254 + 1.31929i) q^{15} +(0.415415 + 0.909632i) q^{16} +(-2.72263 + 1.74973i) q^{17} +(0.142315 - 0.989821i) q^{18} +(-3.13503 - 2.01476i) q^{19} +(-1.31929 + 1.52254i) q^{20} +(-2.52662 + 0.784992i) q^{21} -3.94083i q^{22} +(-0.676160 - 4.74793i) q^{23} -1.00000i q^{24} +(0.903208 + 0.265206i) q^{25} +(3.37343 + 2.92309i) q^{26} +(-0.540641 + 0.841254i) q^{27} +(-2.38918 + 1.13658i) q^{28} +(5.74713 - 3.69346i) q^{29} +(1.83256 - 0.836900i) q^{30} +(-0.313818 + 0.271924i) q^{31} +(-0.142315 - 0.989821i) q^{32} +(-1.63708 + 3.58470i) q^{33} +(3.10530 - 0.911798i) q^{34} +(-4.08235 - 3.42711i) q^{35} +(-0.415415 + 0.909632i) q^{36} +(-7.16191 + 1.02973i) q^{37} +(2.44042 + 2.81639i) q^{38} +(-1.85428 - 4.06031i) q^{39} +(1.69480 - 1.08918i) q^{40} +(0.634378 + 0.0912098i) q^{41} +(2.64543 - 0.0413642i) q^{42} +(-7.60846 - 6.59277i) q^{43} +(-1.11026 + 3.78120i) q^{44} -2.01461 q^{45} +(-0.688875 + 4.74610i) q^{46} +7.63441i q^{47} +(-0.281733 + 0.959493i) q^{48} +(-3.10556 - 6.27340i) q^{49} +(-0.791905 - 0.508926i) q^{50} +(-3.20345 - 0.460587i) q^{51} +(-2.41325 - 3.75509i) q^{52} +(7.22190 - 3.29813i) q^{53} +(0.755750 - 0.654861i) q^{54} +(-7.85843 + 1.12987i) q^{55} +(2.61261 - 0.417427i) q^{56} +(-1.04991 - 3.57567i) q^{57} +(-6.55490 + 1.92469i) q^{58} +(3.43221 + 1.56744i) q^{59} +(-1.99411 + 0.286709i) q^{60} +(1.85829 + 2.14459i) q^{61} +(0.377716 - 0.172497i) q^{62} +(-2.42355 - 1.06132i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(4.86176 - 7.56505i) q^{65} +(2.58069 - 2.97828i) q^{66} +(-2.97423 + 10.1293i) q^{67} -3.23639 q^{68} +(2.59822 - 4.03103i) q^{69} +(2.95145 + 4.43842i) q^{70} +(7.58801 + 2.22804i) q^{71} +(0.654861 - 0.755750i) q^{72} +(5.14835 - 8.01099i) q^{73} +(7.16191 + 1.02973i) q^{74} +(0.508926 + 0.791905i) q^{75} +(-1.54809 - 3.38985i) q^{76} +(-10.0488 - 2.78071i) q^{77} +(0.635248 + 4.41825i) q^{78} +(-1.44542 - 0.660100i) q^{79} +(-1.93301 + 0.567582i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(-0.582985 - 0.266240i) q^{82} +(0.973229 + 6.76895i) q^{83} +(-2.54992 - 0.705615i) q^{84} +(-2.70854 - 5.93087i) q^{85} +(5.44286 + 8.46926i) q^{86} +(6.76210 + 0.972243i) q^{87} +(2.13057 - 3.31524i) q^{88} +(-11.1224 + 12.8359i) q^{89} +(1.93301 + 0.567582i) q^{90} +(9.83399 - 6.53940i) q^{91} +(1.99810 - 4.35977i) q^{92} -0.415240 q^{93} +(2.15086 - 7.32517i) q^{94} +(4.91649 - 5.67394i) q^{95} +(0.540641 - 0.841254i) q^{96} +(-2.20348 + 15.3255i) q^{97} +(1.21234 + 6.89422i) q^{98} +(-3.58470 + 1.63708i) 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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.959493 0.281733i −0.678464 0.199215i
\(3\) 0.755750 + 0.654861i 0.436332 + 0.378084i
\(4\) 0.841254 + 0.540641i 0.420627 + 0.270320i
\(5\) −0.286709 + 1.99411i −0.128220 + 0.891791i 0.819589 + 0.572952i \(0.194202\pi\)
−0.947809 + 0.318839i \(0.896707\pi\)
\(6\) −0.540641 0.841254i −0.220716 0.343440i
\(7\) −1.39543 + 2.24784i −0.527422 + 0.849603i
\(8\) −0.654861 0.755750i −0.231528 0.267198i
\(9\) 0.142315 + 0.989821i 0.0474383 + 0.329940i
\(10\) 0.836900 1.83256i 0.264651 0.579505i
\(11\) 1.11026 + 3.78120i 0.334756 + 1.14007i 0.939184 + 0.343414i \(0.111583\pi\)
−0.604428 + 0.796660i \(0.706598\pi\)
\(12\) 0.281733 + 0.959493i 0.0813292 + 0.276982i
\(13\) −4.06031 1.85428i −1.12613 0.514285i −0.236801 0.971558i \(-0.576099\pi\)
−0.889326 + 0.457273i \(0.848826\pi\)
\(14\) 1.97219 1.76365i 0.527091 0.471355i
\(15\) −1.52254 + 1.31929i −0.393119 + 0.340639i
\(16\) 0.415415 + 0.909632i 0.103854 + 0.227408i
\(17\) −2.72263 + 1.74973i −0.660334 + 0.424371i −0.827429 0.561570i \(-0.810198\pi\)
0.167095 + 0.985941i \(0.446561\pi\)
\(18\) 0.142315 0.989821i 0.0335439 0.233303i
\(19\) −3.13503 2.01476i −0.719226 0.462218i 0.129142 0.991626i \(-0.458778\pi\)
−0.848367 + 0.529408i \(0.822414\pi\)
\(20\) −1.31929 + 1.52254i −0.295002 + 0.340451i
\(21\) −2.52662 + 0.784992i −0.551353 + 0.171299i
\(22\) 3.94083i 0.840188i
\(23\) −0.676160 4.74793i −0.140989 0.990011i
\(24\) 1.00000i 0.204124i
\(25\) 0.903208 + 0.265206i 0.180642 + 0.0530412i
\(26\) 3.37343 + 2.92309i 0.661583 + 0.573265i
\(27\) −0.540641 + 0.841254i −0.104046 + 0.161899i
\(28\) −2.38918 + 1.13658i −0.451513 + 0.214793i
\(29\) 5.74713 3.69346i 1.06722 0.685858i 0.115646 0.993290i \(-0.463106\pi\)
0.951570 + 0.307432i \(0.0994698\pi\)
\(30\) 1.83256 0.836900i 0.334577 0.152796i
\(31\) −0.313818 + 0.271924i −0.0563633 + 0.0488391i −0.682587 0.730804i \(-0.739145\pi\)
0.626224 + 0.779643i \(0.284600\pi\)
\(32\) −0.142315 0.989821i −0.0251579 0.174977i
\(33\) −1.63708 + 3.58470i −0.284979 + 0.624017i
\(34\) 3.10530 0.911798i 0.532554 0.156372i
\(35\) −4.08235 3.42711i −0.690043 0.579287i
\(36\) −0.415415 + 0.909632i −0.0692358 + 0.151605i
\(37\) −7.16191 + 1.02973i −1.17741 + 0.169286i −0.703113 0.711078i \(-0.748207\pi\)
−0.474298 + 0.880364i \(0.657298\pi\)
\(38\) 2.44042 + 2.81639i 0.395888 + 0.456879i
\(39\) −1.85428 4.06031i −0.296923 0.650170i
\(40\) 1.69480 1.08918i 0.267971 0.172215i
\(41\) 0.634378 + 0.0912098i 0.0990732 + 0.0142446i 0.191673 0.981459i \(-0.438609\pi\)
−0.0925999 + 0.995703i \(0.529518\pi\)
\(42\) 2.64543 0.0413642i 0.408198 0.00638263i
\(43\) −7.60846 6.59277i −1.16028 1.00539i −0.999832 0.0183430i \(-0.994161\pi\)
−0.160447 0.987044i \(-0.551294\pi\)
\(44\) −1.11026 + 3.78120i −0.167378 + 0.570037i
\(45\) −2.01461 −0.300321
\(46\) −0.688875 + 4.74610i −0.101569 + 0.699774i
\(47\) 7.63441i 1.11359i 0.830649 + 0.556797i \(0.187970\pi\)
−0.830649 + 0.556797i \(0.812030\pi\)
\(48\) −0.281733 + 0.959493i −0.0406646 + 0.138491i
\(49\) −3.10556 6.27340i −0.443651 0.896200i
\(50\) −0.791905 0.508926i −0.111992 0.0719730i
\(51\) −3.20345 0.460587i −0.448573 0.0644951i
\(52\) −2.41325 3.75509i −0.334657 0.520737i
\(53\) 7.22190 3.29813i 0.992004 0.453033i 0.147778 0.989021i \(-0.452788\pi\)
0.844226 + 0.535988i \(0.180061\pi\)
\(54\) 0.755750 0.654861i 0.102844 0.0891153i
\(55\) −7.85843 + 1.12987i −1.05963 + 0.152352i
\(56\) 2.61261 0.417427i 0.349125 0.0557810i
\(57\) −1.04991 3.57567i −0.139064 0.473608i
\(58\) −6.55490 + 1.92469i −0.860701 + 0.252725i
\(59\) 3.43221 + 1.56744i 0.446835 + 0.204063i 0.626108 0.779737i \(-0.284647\pi\)
−0.179272 + 0.983799i \(0.557374\pi\)
\(60\) −1.99411 + 0.286709i −0.257438 + 0.0370140i
\(61\) 1.85829 + 2.14459i 0.237930 + 0.274586i 0.862139 0.506671i \(-0.169124\pi\)
−0.624209 + 0.781257i \(0.714579\pi\)
\(62\) 0.377716 0.172497i 0.0479699 0.0219071i
\(63\) −2.42355 1.06132i −0.305338 0.133714i
\(64\) −0.142315 + 0.989821i −0.0177894 + 0.123728i
\(65\) 4.86176 7.56505i 0.603027 0.938329i
\(66\) 2.58069 2.97828i 0.317661 0.366601i
\(67\) −2.97423 + 10.1293i −0.363360 + 1.23749i 0.551656 + 0.834072i \(0.313996\pi\)
−0.915016 + 0.403418i \(0.867822\pi\)
\(68\) −3.23639 −0.392471
\(69\) 2.59822 4.03103i 0.312789 0.485280i
\(70\) 2.95145 + 4.43842i 0.352766 + 0.530492i
\(71\) 7.58801 + 2.22804i 0.900531 + 0.264420i 0.699050 0.715073i \(-0.253606\pi\)
0.201481 + 0.979492i \(0.435425\pi\)
\(72\) 0.654861 0.755750i 0.0771761 0.0890659i
\(73\) 5.14835 8.01099i 0.602569 0.937615i −0.397233 0.917718i \(-0.630030\pi\)
0.999802 0.0198977i \(-0.00633406\pi\)
\(74\) 7.16191 + 1.02973i 0.832556 + 0.119703i
\(75\) 0.508926 + 0.791905i 0.0587657 + 0.0914413i
\(76\) −1.54809 3.38985i −0.177579 0.388843i
\(77\) −10.0488 2.78071i −1.14517 0.316891i
\(78\) 0.635248 + 4.41825i 0.0719277 + 0.500268i
\(79\) −1.44542 0.660100i −0.162622 0.0742670i 0.332441 0.943124i \(-0.392128\pi\)
−0.495063 + 0.868857i \(0.664855\pi\)
\(80\) −1.93301 + 0.567582i −0.216117 + 0.0634576i
\(81\) −0.959493 + 0.281733i −0.106610 + 0.0313036i
\(82\) −0.582985 0.266240i −0.0643799 0.0294013i
\(83\) 0.973229 + 6.76895i 0.106826 + 0.742989i 0.970876 + 0.239583i \(0.0770108\pi\)
−0.864050 + 0.503406i \(0.832080\pi\)
\(84\) −2.54992 0.705615i −0.278219 0.0769889i
\(85\) −2.70854 5.93087i −0.293782 0.643293i
\(86\) 5.44286 + 8.46926i 0.586919 + 0.913264i
\(87\) 6.76210 + 0.972243i 0.724973 + 0.104235i
\(88\) 2.13057 3.31524i 0.227120 0.353405i
\(89\) −11.1224 + 12.8359i −1.17897 + 1.36061i −0.260326 + 0.965521i \(0.583830\pi\)
−0.918645 + 0.395085i \(0.870715\pi\)
\(90\) 1.93301 + 0.567582i 0.203757 + 0.0598284i
\(91\) 9.83399 6.53940i 1.03088 0.685516i
\(92\) 1.99810 4.35977i 0.208316 0.454537i
\(93\) −0.415240 −0.0430584
\(94\) 2.15086 7.32517i 0.221845 0.755533i
\(95\) 4.91649 5.67394i 0.504422 0.582133i
\(96\) 0.540641 0.841254i 0.0551789 0.0858601i
\(97\) −2.20348 + 15.3255i −0.223729 + 1.55607i 0.500024 + 0.866011i \(0.333324\pi\)
−0.723753 + 0.690059i \(0.757585\pi\)
\(98\) 1.21234 + 6.89422i 0.122465 + 0.696421i
\(99\) −3.58470 + 1.63708i −0.360276 + 0.164533i
\(100\) 0.616446 + 0.711416i 0.0616446 + 0.0711416i
\(101\) −14.5800 + 2.09629i −1.45077 + 0.208589i −0.822215 0.569177i \(-0.807262\pi\)
−0.628554 + 0.777766i \(0.716353\pi\)
\(102\) 2.94393 + 1.34445i 0.291492 + 0.133120i
\(103\) −17.2774 + 5.07311i −1.70240 + 0.499868i −0.981221 0.192885i \(-0.938215\pi\)
−0.721174 + 0.692754i \(0.756397\pi\)
\(104\) 1.25756 + 4.28287i 0.123314 + 0.419970i
\(105\) −0.840953 5.26340i −0.0820686 0.513656i
\(106\) −7.85855 + 1.12989i −0.763290 + 0.109745i
\(107\) −2.12985 + 1.84553i −0.205901 + 0.178414i −0.751707 0.659498i \(-0.770769\pi\)
0.545806 + 0.837912i \(0.316224\pi\)
\(108\) −0.909632 + 0.415415i −0.0875294 + 0.0399733i
\(109\) −5.17605 8.05410i −0.495776 0.771443i 0.499726 0.866184i \(-0.333434\pi\)
−0.995502 + 0.0947410i \(0.969798\pi\)
\(110\) 7.85843 + 1.12987i 0.749272 + 0.107729i
\(111\) −6.08694 3.91184i −0.577747 0.371295i
\(112\) −2.62439 0.335541i −0.247981 0.0317056i
\(113\) −4.81456 + 16.3969i −0.452916 + 1.54249i 0.344338 + 0.938846i \(0.388103\pi\)
−0.797254 + 0.603644i \(0.793715\pi\)
\(114\) 3.72662i 0.349030i
\(115\) 9.66173 + 0.0129390i 0.900961 + 0.00120657i
\(116\) 6.83163 0.634301
\(117\) 1.25756 4.28287i 0.116262 0.395952i
\(118\) −2.85158 2.47091i −0.262509 0.227465i
\(119\) −0.133871 8.56165i −0.0122719 0.784845i
\(120\) 1.99411 + 0.286709i 0.182036 + 0.0261728i
\(121\) −3.81099 + 2.44917i −0.346454 + 0.222652i
\(122\) −1.17882 2.58126i −0.106725 0.233696i
\(123\) 0.419701 + 0.484361i 0.0378432 + 0.0436734i
\(124\) −0.411014 + 0.0590948i −0.0369101 + 0.00530687i
\(125\) −4.97231 + 10.8878i −0.444737 + 0.973837i
\(126\) 2.02637 + 1.70113i 0.180523 + 0.151548i
\(127\) 6.43149 1.88846i 0.570702 0.167573i 0.0163660 0.999866i \(-0.494790\pi\)
0.554336 + 0.832293i \(0.312972\pi\)
\(128\) 0.415415 0.909632i 0.0367178 0.0804009i
\(129\) −1.43275 9.96496i −0.126146 0.877366i
\(130\) −6.79614 + 5.88889i −0.596061 + 0.516490i
\(131\) 3.94387 1.80110i 0.344577 0.157363i −0.235607 0.971848i \(-0.575708\pi\)
0.580184 + 0.814485i \(0.302981\pi\)
\(132\) −3.31524 + 2.13057i −0.288554 + 0.185443i
\(133\) 8.90357 4.23559i 0.772038 0.367272i
\(134\) 5.70750 8.88104i 0.493053 0.767205i
\(135\) −1.52254 1.31929i −0.131040 0.113546i
\(136\) 3.10530 + 0.911798i 0.266277 + 0.0781860i
\(137\) 10.9789i 0.937992i −0.883200 0.468996i \(-0.844616\pi\)
0.883200 0.468996i \(-0.155384\pi\)
\(138\) −3.62865 + 3.13575i −0.308891 + 0.266932i
\(139\) 16.5053i 1.39996i 0.714163 + 0.699980i \(0.246808\pi\)
−0.714163 + 0.699980i \(0.753192\pi\)
\(140\) −1.58145 5.09015i −0.133657 0.430196i
\(141\) −4.99948 + 5.76971i −0.421032 + 0.485897i
\(142\) −6.65293 4.27558i −0.558302 0.358799i
\(143\) 2.50340 17.4116i 0.209345 1.45603i
\(144\) −0.841254 + 0.540641i −0.0701045 + 0.0450534i
\(145\) 5.71739 + 12.5193i 0.474804 + 1.03967i
\(146\) −7.19676 + 6.23603i −0.595608 + 0.516098i
\(147\) 1.76118 6.77483i 0.145259 0.558778i
\(148\) −6.58170 3.00576i −0.541012 0.247072i
\(149\) 3.40606 + 11.6000i 0.279036 + 0.950308i 0.973098 + 0.230393i \(0.0740012\pi\)
−0.694062 + 0.719915i \(0.744181\pi\)
\(150\) −0.265206 0.903208i −0.0216540 0.0737466i
\(151\) −7.30167 + 15.9884i −0.594202 + 1.30112i 0.338668 + 0.940906i \(0.390024\pi\)
−0.932870 + 0.360214i \(0.882704\pi\)
\(152\) 0.530353 + 3.68869i 0.0430173 + 0.299192i
\(153\) −2.11939 2.44590i −0.171342 0.197740i
\(154\) 8.85835 + 5.49915i 0.713826 + 0.443134i
\(155\) −0.452272 0.703749i −0.0363274 0.0565265i
\(156\) 0.635248 4.41825i 0.0508606 0.353743i
\(157\) −19.5886 12.5888i −1.56334 1.00470i −0.981515 0.191385i \(-0.938702\pi\)
−0.581826 0.813313i \(-0.697661\pi\)
\(158\) 1.20090 + 1.04058i 0.0955381 + 0.0827843i
\(159\) 7.61776 + 2.23678i 0.604128 + 0.177388i
\(160\) 2.01461 0.159269
\(161\) 11.6161 + 5.10549i 0.915477 + 0.402369i
\(162\) 1.00000 0.0785674
\(163\) 21.0319 + 6.17552i 1.64735 + 0.483704i 0.968174 0.250276i \(-0.0805214\pi\)
0.679171 + 0.733980i \(0.262340\pi\)
\(164\) 0.484361 + 0.419701i 0.0378223 + 0.0327732i
\(165\) −6.67891 4.29228i −0.519953 0.334153i
\(166\) 0.973229 6.76895i 0.0755372 0.525373i
\(167\) 1.23074 + 1.91507i 0.0952377 + 0.148193i 0.885603 0.464443i \(-0.153746\pi\)
−0.790365 + 0.612636i \(0.790109\pi\)
\(168\) 2.24784 + 1.39543i 0.173425 + 0.107660i
\(169\) 4.53456 + 5.23316i 0.348812 + 0.402551i
\(170\) 0.927904 + 6.45371i 0.0711670 + 0.494977i
\(171\) 1.54809 3.38985i 0.118386 0.259228i
\(172\) −2.83632 9.65963i −0.216268 0.736540i
\(173\) 2.15157 + 7.32756i 0.163580 + 0.557104i 0.999960 + 0.00895301i \(0.00284987\pi\)
−0.836379 + 0.548151i \(0.815332\pi\)
\(174\) −6.21427 2.83796i −0.471103 0.215145i
\(175\) −1.85650 + 1.66019i −0.140338 + 0.125499i
\(176\) −2.97828 + 2.58069i −0.224496 + 0.194527i
\(177\) 1.56744 + 3.43221i 0.117816 + 0.257980i
\(178\) 14.2882 9.18244i 1.07094 0.688253i
\(179\) −2.08152 + 14.4773i −0.155580 + 1.08208i 0.751077 + 0.660215i \(0.229535\pi\)
−0.906657 + 0.421868i \(0.861374\pi\)
\(180\) −1.69480 1.08918i −0.126323 0.0811828i
\(181\) 14.9986 17.3093i 1.11484 1.28659i 0.160773 0.986991i \(-0.448601\pi\)
0.954065 0.299600i \(-0.0968534\pi\)
\(182\) −11.2780 + 3.50395i −0.835982 + 0.259730i
\(183\) 2.83769i 0.209768i
\(184\) −3.14545 + 3.62024i −0.231886 + 0.266888i
\(185\) 14.5768i 1.07171i
\(186\) 0.398420 + 0.116987i 0.0292136 + 0.00857788i
\(187\) −9.63889 8.35214i −0.704865 0.610769i
\(188\) −4.12748 + 6.42248i −0.301027 + 0.468407i
\(189\) −1.13658 2.38918i −0.0826738 0.173787i
\(190\) −6.31587 + 4.05896i −0.458202 + 0.294468i
\(191\) 8.90763 4.06798i 0.644534 0.294349i −0.0662037 0.997806i \(-0.521089\pi\)
0.710737 + 0.703457i \(0.248361\pi\)
\(192\) −0.755750 + 0.654861i −0.0545415 + 0.0472605i
\(193\) −0.0105782 0.0735732i −0.000761437 0.00529591i 0.989437 0.144962i \(-0.0463061\pi\)
−0.990199 + 0.139666i \(0.955397\pi\)
\(194\) 6.43192 14.0839i 0.461785 1.01117i
\(195\) 8.62832 2.53350i 0.617887 0.181428i
\(196\) 0.779093 6.95651i 0.0556495 0.496893i
\(197\) 7.00364 15.3358i 0.498988 1.09263i −0.477808 0.878464i \(-0.658569\pi\)
0.976797 0.214168i \(-0.0687040\pi\)
\(198\) 3.90072 0.560838i 0.277212 0.0398571i
\(199\) −1.82158 2.10221i −0.129128 0.149022i 0.687503 0.726181i \(-0.258707\pi\)
−0.816632 + 0.577159i \(0.804161\pi\)
\(200\) −0.391046 0.856272i −0.0276512 0.0605476i
\(201\) −8.88104 + 5.70750i −0.626420 + 0.402576i
\(202\) 14.5800 + 2.09629i 1.02585 + 0.147495i
\(203\) 0.282585 + 18.0726i 0.0198336 + 1.26845i
\(204\) −2.44590 2.11939i −0.171248 0.148387i
\(205\) −0.363764 + 1.23887i −0.0254064 + 0.0865262i
\(206\) 18.0068 1.25460
\(207\) 4.60337 1.34498i 0.319956 0.0934825i
\(208\) 4.46368i 0.309501i
\(209\) 4.13752 14.0911i 0.286198 0.974701i
\(210\) −0.675984 + 5.28712i −0.0466473 + 0.364846i
\(211\) 21.1036 + 13.5625i 1.45284 + 0.933680i 0.999094 + 0.0425465i \(0.0135471\pi\)
0.453741 + 0.891134i \(0.350089\pi\)
\(212\) 7.85855 + 1.12989i 0.539727 + 0.0776011i
\(213\) 4.27558 + 6.65293i 0.292958 + 0.455851i
\(214\) 2.56352 1.17072i 0.175239 0.0800289i
\(215\) 15.3281 13.2819i 1.04537 0.905816i
\(216\) 0.989821 0.142315i 0.0673488 0.00968330i
\(217\) −0.173332 1.08486i −0.0117666 0.0736453i
\(218\) 2.69729 + 9.18611i 0.182683 + 0.622162i
\(219\) 9.13695 2.68285i 0.617418 0.181290i
\(220\) −7.22179 3.29808i −0.486893 0.222356i
\(221\) 14.2992 2.05591i 0.961868 0.138296i
\(222\) 4.73829 + 5.46827i 0.318013 + 0.367006i
\(223\) −0.593212 + 0.270911i −0.0397244 + 0.0181415i −0.435178 0.900344i \(-0.643315\pi\)
0.395454 + 0.918486i \(0.370587\pi\)
\(224\) 2.42355 + 1.06132i 0.161930 + 0.0709127i
\(225\) −0.133966 + 0.931757i −0.00893110 + 0.0621172i
\(226\) 9.23908 14.3763i 0.614574 0.956296i
\(227\) 12.6614 14.6121i 0.840368 0.969836i −0.159481 0.987201i \(-0.550982\pi\)
0.999849 + 0.0173649i \(0.00552769\pi\)
\(228\) 1.04991 3.57567i 0.0695320 0.236804i
\(229\) −12.8375 −0.848327 −0.424163 0.905586i \(-0.639432\pi\)
−0.424163 + 0.905586i \(0.639432\pi\)
\(230\) −9.26672 2.73444i −0.611029 0.180304i
\(231\) −5.77341 8.68209i −0.379862 0.571240i
\(232\) −6.55490 1.92469i −0.430350 0.126362i
\(233\) −4.14720 + 4.78613i −0.271692 + 0.313550i −0.875156 0.483841i \(-0.839241\pi\)
0.603464 + 0.797390i \(0.293787\pi\)
\(234\) −2.41325 + 3.75509i −0.157759 + 0.245478i
\(235\) −15.2238 2.18886i −0.993093 0.142785i
\(236\) 2.03993 + 3.17420i 0.132788 + 0.206623i
\(237\) −0.660100 1.44542i −0.0428781 0.0938899i
\(238\) −2.28365 + 8.25256i −0.148027 + 0.534934i
\(239\) −0.751051 5.22367i −0.0485814 0.337891i −0.999588 0.0287191i \(-0.990857\pi\)
0.951006 0.309172i \(-0.100052\pi\)
\(240\) −1.83256 0.836900i −0.118291 0.0540217i
\(241\) 14.8576 4.36258i 0.957062 0.281019i 0.234338 0.972155i \(-0.424708\pi\)
0.722724 + 0.691137i \(0.242890\pi\)
\(242\) 4.34663 1.27629i 0.279412 0.0820428i
\(243\) −0.909632 0.415415i −0.0583529 0.0266489i
\(244\) 0.403846 + 2.80881i 0.0258536 + 0.179816i
\(245\) 13.4002 4.39417i 0.856108 0.280733i
\(246\) −0.266240 0.582985i −0.0169749 0.0371697i
\(247\) 8.99326 + 13.9938i 0.572227 + 0.890403i
\(248\) 0.411014 + 0.0590948i 0.0260994 + 0.00375253i
\(249\) −3.69721 + 5.75296i −0.234301 + 0.364579i
\(250\) 7.83835 9.04594i 0.495741 0.572115i
\(251\) 13.9919 + 4.10840i 0.883162 + 0.259320i 0.691704 0.722181i \(-0.256860\pi\)
0.191458 + 0.981501i \(0.438678\pi\)
\(252\) −1.46502 2.20311i −0.0922878 0.138783i
\(253\) 17.2021 7.82813i 1.08149 0.492150i
\(254\) −6.70301 −0.420584
\(255\) 1.83692 6.25597i 0.115032 0.391764i
\(256\) −0.654861 + 0.755750i −0.0409288 + 0.0472343i
\(257\) −13.9087 + 21.6424i −0.867603 + 1.35002i 0.0682648 + 0.997667i \(0.478254\pi\)
−0.935868 + 0.352350i \(0.885383\pi\)
\(258\) −1.43275 + 9.96496i −0.0891988 + 0.620391i
\(259\) 7.67928 17.5357i 0.477167 1.08962i
\(260\) 8.17995 3.73566i 0.507299 0.231676i
\(261\) 4.47377 + 5.16300i 0.276919 + 0.319582i
\(262\) −4.29154 + 0.617031i −0.265132 + 0.0381203i
\(263\) −5.62874 2.57056i −0.347083 0.158508i 0.234243 0.972178i \(-0.424739\pi\)
−0.581326 + 0.813670i \(0.697466\pi\)
\(264\) 3.78120 1.11026i 0.232717 0.0683318i
\(265\) 4.50624 + 15.3468i 0.276816 + 0.942748i
\(266\) −9.73622 + 1.55559i −0.596966 + 0.0953794i
\(267\) −16.8115 + 2.41713i −1.02885 + 0.147926i
\(268\) −7.97839 + 6.91331i −0.487357 + 0.422298i
\(269\) 14.0041 6.39546i 0.853845 0.389938i 0.0601027 0.998192i \(-0.480857\pi\)
0.793742 + 0.608254i \(0.208130\pi\)
\(270\) 1.08918 + 1.69480i 0.0662855 + 0.103142i
\(271\) 14.1770 + 2.03835i 0.861194 + 0.123821i 0.558740 0.829343i \(-0.311285\pi\)
0.302454 + 0.953164i \(0.402194\pi\)
\(272\) −2.72263 1.74973i −0.165084 0.106093i
\(273\) 11.7144 + 1.49775i 0.708990 + 0.0906477i
\(274\) −3.09312 + 10.5342i −0.186862 + 0.636394i
\(275\) 3.70966i 0.223701i
\(276\) 4.36511 1.98642i 0.262748 0.119568i
\(277\) 5.67918 0.341229 0.170614 0.985338i \(-0.445425\pi\)
0.170614 + 0.985338i \(0.445425\pi\)
\(278\) 4.65008 15.8367i 0.278893 0.949822i
\(279\) −0.313818 0.271924i −0.0187878 0.0162797i
\(280\) 0.0833327 + 5.32951i 0.00498008 + 0.318499i
\(281\) −21.1346 3.03869i −1.26078 0.181273i −0.520671 0.853757i \(-0.674318\pi\)
−0.740111 + 0.672484i \(0.765227\pi\)
\(282\) 6.42248 4.12748i 0.382453 0.245788i
\(283\) −1.08118 2.36745i −0.0642694 0.140730i 0.874772 0.484535i \(-0.161011\pi\)
−0.939041 + 0.343805i \(0.888284\pi\)
\(284\) 5.17887 + 5.97674i 0.307310 + 0.354654i
\(285\) 7.43127 1.06846i 0.440191 0.0632899i
\(286\) −7.30740 + 16.0010i −0.432096 + 0.946158i
\(287\) −1.09025 + 1.29870i −0.0643557 + 0.0766600i
\(288\) 0.959493 0.281733i 0.0565387 0.0166013i
\(289\) −2.71089 + 5.93603i −0.159464 + 0.349178i
\(290\) −1.95869 13.6230i −0.115018 0.799970i
\(291\) −11.7014 + 10.1393i −0.685945 + 0.594375i
\(292\) 8.66214 3.95587i 0.506913 0.231499i
\(293\) −1.56117 + 1.00330i −0.0912045 + 0.0586135i −0.585448 0.810710i \(-0.699081\pi\)
0.494244 + 0.869323i \(0.335445\pi\)
\(294\) −3.59853 + 6.00422i −0.209870 + 0.350173i
\(295\) −4.10968 + 6.39478i −0.239275 + 0.372319i
\(296\) 5.46827 + 4.73829i 0.317837 + 0.275407i
\(297\) −3.78120 1.11026i −0.219407 0.0644238i
\(298\) 12.0897i 0.700338i
\(299\) −6.05857 + 20.5318i −0.350376 + 1.18739i
\(300\) 0.941339i 0.0543482i
\(301\) 25.4365 7.90285i 1.46614 0.455513i
\(302\) 11.5104 13.2837i 0.662347 0.764389i
\(303\) −12.3916 7.96363i −0.711881 0.457498i
\(304\) 0.530353 3.68869i 0.0304178 0.211561i
\(305\) −4.80932 + 3.09076i −0.275381 + 0.176977i
\(306\) 1.34445 + 2.94393i 0.0768569 + 0.168293i
\(307\) −8.27790 + 7.17284i −0.472445 + 0.409376i −0.858272 0.513195i \(-0.828462\pi\)
0.385827 + 0.922571i \(0.373916\pi\)
\(308\) −6.95023 7.77208i −0.396026 0.442855i
\(309\) −16.3796 7.48031i −0.931802 0.425540i
\(310\) 0.235683 + 0.802662i 0.0133859 + 0.0455881i
\(311\) 0.337336 + 1.14886i 0.0191286 + 0.0651459i 0.968504 0.248997i \(-0.0801010\pi\)
−0.949376 + 0.314143i \(0.898283\pi\)
\(312\) −1.85428 + 4.06031i −0.104978 + 0.229870i
\(313\) −0.647342 4.50236i −0.0365899 0.254489i 0.963314 0.268378i \(-0.0864877\pi\)
−0.999904 + 0.0138897i \(0.995579\pi\)
\(314\) 15.2484 + 17.5976i 0.860520 + 0.993092i
\(315\) 2.81125 4.52852i 0.158396 0.255153i
\(316\) −0.859085 1.33676i −0.0483273 0.0751988i
\(317\) 2.56379 17.8316i 0.143997 1.00152i −0.781808 0.623519i \(-0.785702\pi\)
0.925805 0.378002i \(-0.123389\pi\)
\(318\) −6.67902 4.29234i −0.374541 0.240703i
\(319\) 20.3465 + 17.6304i 1.13919 + 0.987110i
\(320\) −1.93301 0.567582i −0.108058 0.0317288i
\(321\) −2.81820 −0.157296
\(322\) −9.70719 8.17132i −0.540960 0.455370i
\(323\) 12.0608 0.671082
\(324\) −0.959493 0.281733i −0.0533052 0.0156518i
\(325\) −3.17554 2.75162i −0.176147 0.152632i
\(326\) −18.4401 11.8507i −1.02130 0.656352i
\(327\) 1.36251 9.47647i 0.0753470 0.524050i
\(328\) −0.346498 0.539161i −0.0191321 0.0297702i
\(329\) −17.1609 10.6533i −0.946113 0.587334i
\(330\) 5.19910 + 6.00008i 0.286201 + 0.330293i
\(331\) −3.24857 22.5943i −0.178557 1.24189i −0.860104 0.510119i \(-0.829601\pi\)
0.681546 0.731775i \(-0.261308\pi\)
\(332\) −2.84084 + 6.22057i −0.155911 + 0.341398i
\(333\) −2.03849 6.94247i −0.111709 0.380445i
\(334\) −0.641350 2.18424i −0.0350931 0.119516i
\(335\) −19.3461 8.83508i −1.05699 0.482712i
\(336\) −1.76365 1.97219i −0.0962149 0.107592i
\(337\) 8.67839 7.51987i 0.472742 0.409633i −0.385636 0.922651i \(-0.626018\pi\)
0.858378 + 0.513018i \(0.171473\pi\)
\(338\) −2.87653 6.29871i −0.156462 0.342605i
\(339\) −14.3763 + 9.23908i −0.780812 + 0.501798i
\(340\) 0.927904 6.45371i 0.0503227 0.350002i
\(341\) −1.37662 0.884699i −0.0745481 0.0479092i
\(342\) −2.44042 + 2.81639i −0.131963 + 0.152293i
\(343\) 18.4352 + 1.77328i 0.995406 + 0.0957483i
\(344\) 10.0674i 0.542800i
\(345\) 7.29338 + 6.33687i 0.392662 + 0.341165i
\(346\) 7.63691i 0.410563i
\(347\) 3.64110 + 1.06912i 0.195465 + 0.0573936i 0.378000 0.925806i \(-0.376612\pi\)
−0.182535 + 0.983199i \(0.558430\pi\)
\(348\) 5.16300 + 4.47377i 0.276766 + 0.239819i
\(349\) −1.98368 + 3.08667i −0.106184 + 0.165226i −0.890279 0.455415i \(-0.849491\pi\)
0.784095 + 0.620641i \(0.213127\pi\)
\(350\) 2.24903 1.06990i 0.120216 0.0571888i
\(351\) 3.75509 2.41325i 0.200432 0.128810i
\(352\) 3.58470 1.63708i 0.191065 0.0872566i
\(353\) 18.0347 15.6271i 0.959889 0.831748i −0.0259124 0.999664i \(-0.508249\pi\)
0.985801 + 0.167916i \(0.0537037\pi\)
\(354\) −0.536979 3.73477i −0.0285401 0.198501i
\(355\) −6.61850 + 14.4925i −0.351274 + 0.769182i
\(356\) −16.2964 + 4.78505i −0.863706 + 0.253607i
\(357\) 5.50551 6.55813i 0.291383 0.347093i
\(358\) 6.07592 13.3044i 0.321123 0.703160i
\(359\) −24.3393 + 3.49947i −1.28458 + 0.184695i −0.750575 0.660785i \(-0.770223\pi\)
−0.534007 + 0.845480i \(0.679314\pi\)
\(360\) 1.31929 + 1.52254i 0.0695327 + 0.0802450i
\(361\) −2.12373 4.65032i −0.111775 0.244754i
\(362\) −19.2677 + 12.3826i −1.01269 + 0.650814i
\(363\) −4.48402 0.644705i −0.235350 0.0338382i
\(364\) 11.8084 0.184636i 0.618926 0.00967758i
\(365\) 14.4987 + 12.5632i 0.758896 + 0.657587i
\(366\) 0.799471 2.72275i 0.0417890 0.142320i
\(367\) 25.2866 1.31995 0.659975 0.751288i \(-0.270567\pi\)
0.659975 + 0.751288i \(0.270567\pi\)
\(368\) 4.03798 2.58742i 0.210494 0.134878i
\(369\) 0.640902i 0.0333640i
\(370\) −4.10677 + 13.9864i −0.213501 + 0.727117i
\(371\) −2.66398 + 20.8360i −0.138307 + 1.08175i
\(372\) −0.349322 0.224496i −0.0181115 0.0116396i
\(373\) −12.3500 1.77567i −0.639460 0.0919405i −0.185044 0.982730i \(-0.559243\pi\)
−0.454416 + 0.890790i \(0.650152\pi\)
\(374\) 6.89537 + 10.7294i 0.356551 + 0.554805i
\(375\) −10.8878 + 4.97231i −0.562245 + 0.256769i
\(376\) 5.76971 4.99948i 0.297550 0.257828i
\(377\) −30.1838 + 4.33978i −1.55455 + 0.223510i
\(378\) 0.417427 + 2.61261i 0.0214701 + 0.134378i
\(379\) 7.56600 + 25.7674i 0.388639 + 1.32358i 0.889056 + 0.457799i \(0.151362\pi\)
−0.500416 + 0.865785i \(0.666820\pi\)
\(380\) 7.20358 2.11516i 0.369536 0.108505i
\(381\) 6.09727 + 2.78453i 0.312373 + 0.142656i
\(382\) −9.69289 + 1.39363i −0.495932 + 0.0713042i
\(383\) 12.5656 + 14.5015i 0.642071 + 0.740990i 0.979740 0.200275i \(-0.0641837\pi\)
−0.337668 + 0.941265i \(0.609638\pi\)
\(384\) 0.909632 0.415415i 0.0464195 0.0211991i
\(385\) 8.42611 19.2411i 0.429434 0.980619i
\(386\) −0.0105782 + 0.0735732i −0.000538418 + 0.00374478i
\(387\) 5.44286 8.46926i 0.276676 0.430517i
\(388\) −10.1393 + 11.7014i −0.514744 + 0.594046i
\(389\) −0.664343 + 2.26254i −0.0336835 + 0.114716i −0.974619 0.223871i \(-0.928131\pi\)
0.940935 + 0.338586i \(0.109949\pi\)
\(390\) −8.99259 −0.455357
\(391\) 10.1485 + 11.7437i 0.513232 + 0.593907i
\(392\) −2.70741 + 6.45523i −0.136745 + 0.326038i
\(393\) 4.16005 + 1.22150i 0.209847 + 0.0616166i
\(394\) −11.0405 + 12.7415i −0.556214 + 0.641906i
\(395\) 1.73072 2.69306i 0.0870821 0.135502i
\(396\) −3.90072 0.560838i −0.196018 0.0281832i
\(397\) −3.01808 4.69622i −0.151473 0.235696i 0.757222 0.653158i \(-0.226556\pi\)
−0.908695 + 0.417461i \(0.862920\pi\)
\(398\) 1.15553 + 2.53026i 0.0579214 + 0.126830i
\(399\) 9.50259 + 2.62956i 0.475725 + 0.131643i
\(400\) 0.133966 + 0.931757i 0.00669832 + 0.0465879i
\(401\) −9.06756 4.14102i −0.452813 0.206793i 0.175935 0.984402i \(-0.443705\pi\)
−0.628748 + 0.777609i \(0.716432\pi\)
\(402\) 10.1293 2.97423i 0.505203 0.148341i
\(403\) 1.77842 0.522191i 0.0885894 0.0260122i
\(404\) −13.3989 6.11905i −0.666618 0.304434i
\(405\) −0.286709 1.99411i −0.0142467 0.0990879i
\(406\) 4.82050 17.4201i 0.239237 0.864547i
\(407\) −11.8452 25.9373i −0.587144 1.28567i
\(408\) 1.74973 + 2.72263i 0.0866244 + 0.134790i
\(409\) −9.25291 1.33037i −0.457527 0.0657824i −0.0903015 0.995914i \(-0.528783\pi\)
−0.367225 + 0.930132i \(0.619692\pi\)
\(410\) 0.698058 1.08620i 0.0344746 0.0536436i
\(411\) 7.18966 8.29731i 0.354640 0.409276i
\(412\) −17.2774 5.07311i −0.851198 0.249934i
\(413\) −8.31274 + 5.52780i −0.409043 + 0.272005i
\(414\) −4.79583 0.00642257i −0.235702 0.000315652i
\(415\) −13.7770 −0.676289
\(416\) −1.25756 + 4.28287i −0.0616572 + 0.209985i
\(417\) −10.8087 + 12.4739i −0.529302 + 0.610848i
\(418\) −7.93983 + 12.3546i −0.388350 + 0.604284i
\(419\) −2.38976 + 16.6212i −0.116748 + 0.811998i 0.844351 + 0.535791i \(0.179987\pi\)
−0.961098 + 0.276207i \(0.910923\pi\)
\(420\) 2.13816 4.88251i 0.104331 0.238242i
\(421\) 18.5527 8.47272i 0.904202 0.412935i 0.0916279 0.995793i \(-0.470793\pi\)
0.812574 + 0.582858i \(0.198066\pi\)
\(422\) −16.4278 18.9587i −0.799693 0.922895i
\(423\) −7.55671 + 1.08649i −0.367420 + 0.0528270i
\(424\) −7.22190 3.29813i −0.350726 0.160171i
\(425\) −2.92314 + 0.858311i −0.141793 + 0.0416342i
\(426\) −2.22804 7.58801i −0.107949 0.367640i
\(427\) −7.41380 + 1.18453i −0.358779 + 0.0573234i
\(428\) −2.78951 + 0.401071i −0.134836 + 0.0193865i
\(429\) 13.2941 11.5194i 0.641845 0.556162i
\(430\) −18.4491 + 8.42543i −0.889696 + 0.406311i
\(431\) 17.0218 + 26.4864i 0.819912 + 1.27581i 0.958396 + 0.285443i \(0.0921406\pi\)
−0.138484 + 0.990365i \(0.544223\pi\)
\(432\) −0.989821 0.142315i −0.0476228 0.00684713i
\(433\) −0.572723 0.368067i −0.0275233 0.0176882i 0.526807 0.849985i \(-0.323389\pi\)
−0.554330 + 0.832297i \(0.687025\pi\)
\(434\) −0.139330 + 1.08975i −0.00668805 + 0.0523097i
\(435\) −3.87751 + 13.2056i −0.185912 + 0.633159i
\(436\) 9.57392i 0.458508i
\(437\) −7.44616 + 16.2472i −0.356198 + 0.777209i
\(438\) −9.52268 −0.455011
\(439\) 1.01988 3.47338i 0.0486760 0.165775i −0.931568 0.363567i \(-0.881559\pi\)
0.980244 + 0.197792i \(0.0633770\pi\)
\(440\) 6.00008 + 5.19910i 0.286042 + 0.247857i
\(441\) 5.76758 3.96675i 0.274646 0.188893i
\(442\) −14.2992 2.05591i −0.680143 0.0977899i
\(443\) −6.28879 + 4.04156i −0.298790 + 0.192020i −0.681442 0.731872i \(-0.738647\pi\)
0.382653 + 0.923892i \(0.375011\pi\)
\(444\) −3.00576 6.58170i −0.142647 0.312354i
\(445\) −22.4073 25.8594i −1.06221 1.22585i
\(446\) 0.645507 0.0928099i 0.0305656 0.00439468i
\(447\) −5.02225 + 10.9972i −0.237544 + 0.520149i
\(448\) −2.02637 1.70113i −0.0957369 0.0803706i
\(449\) −38.9655 + 11.4413i −1.83890 + 0.539948i −0.999991 0.00432980i \(-0.998622\pi\)
−0.838905 + 0.544278i \(0.816804\pi\)
\(450\) 0.391046 0.856272i 0.0184341 0.0403650i
\(451\) 0.359442 + 2.49998i 0.0169255 + 0.117719i
\(452\) −12.9151 + 11.1910i −0.607475 + 0.526380i
\(453\) −15.9884 + 7.30167i −0.751202 + 0.343063i
\(454\) −16.2652 + 10.4530i −0.763365 + 0.490585i
\(455\) 10.2208 + 21.4849i 0.479157 + 1.00723i
\(456\) −2.01476 + 3.13503i −0.0943499 + 0.146811i
\(457\) 18.1393 + 15.7178i 0.848520 + 0.735247i 0.966197 0.257805i \(-0.0829993\pi\)
−0.117677 + 0.993052i \(0.537545\pi\)
\(458\) 12.3175 + 3.61675i 0.575559 + 0.168999i
\(459\) 3.23639i 0.151062i
\(460\) 8.12097 + 5.23441i 0.378642 + 0.244056i
\(461\) 10.0106i 0.466239i −0.972448 0.233119i \(-0.925107\pi\)
0.972448 0.233119i \(-0.0748933\pi\)
\(462\) 3.09352 + 9.95696i 0.143923 + 0.463240i
\(463\) −14.7855 + 17.0634i −0.687142 + 0.793004i −0.986955 0.160994i \(-0.948530\pi\)
0.299814 + 0.953998i \(0.403076\pi\)
\(464\) 5.74713 + 3.69346i 0.266804 + 0.171465i
\(465\) 0.119053 0.828033i 0.00552096 0.0383991i
\(466\) 5.32762 3.42385i 0.246797 0.158607i
\(467\) −6.31689 13.8321i −0.292311 0.640072i 0.705318 0.708891i \(-0.250804\pi\)
−0.997629 + 0.0688191i \(0.978077\pi\)
\(468\) 3.37343 2.92309i 0.155937 0.135120i
\(469\) −18.6187 20.8203i −0.859731 0.961391i
\(470\) 13.9905 + 6.38924i 0.645333 + 0.294714i
\(471\) −6.56015 22.3418i −0.302276 1.02946i
\(472\) −1.06303 3.62034i −0.0489298 0.166640i
\(473\) 16.4812 36.0888i 0.757806 1.65936i
\(474\) 0.226140 + 1.57284i 0.0103870 + 0.0722429i
\(475\) −2.29726 2.65118i −0.105405 0.121644i
\(476\) 4.51616 7.27489i 0.206998 0.333444i
\(477\) 4.29234 + 6.67902i 0.196533 + 0.305811i
\(478\) −0.751051 + 5.22367i −0.0343523 + 0.238925i
\(479\) −7.34755 4.72198i −0.335718 0.215753i 0.361910 0.932213i \(-0.382125\pi\)
−0.697628 + 0.716460i \(0.745761\pi\)
\(480\) 1.52254 + 1.31929i 0.0694942 + 0.0602171i
\(481\) 30.9890 + 9.09919i 1.41298 + 0.414887i
\(482\) −15.4848 −0.705315
\(483\) 5.43548 + 11.4654i 0.247323 + 0.521694i
\(484\) −4.53013 −0.205915
\(485\) −29.9289 8.78793i −1.35900 0.399039i
\(486\) 0.755750 + 0.654861i 0.0342815 + 0.0297051i
\(487\) −6.37731 4.09845i −0.288983 0.185718i 0.388115 0.921611i \(-0.373126\pi\)
−0.677098 + 0.735893i \(0.736763\pi\)
\(488\) 0.403846 2.80881i 0.0182813 0.127149i
\(489\) 11.8507 + 18.4401i 0.535909 + 0.833891i
\(490\) −14.0954 + 0.440901i −0.636765 + 0.0199179i
\(491\) 4.07253 + 4.69995i 0.183791 + 0.212106i 0.840167 0.542328i \(-0.182457\pi\)
−0.656376 + 0.754434i \(0.727912\pi\)
\(492\) 0.0912098 + 0.634378i 0.00411206 + 0.0286000i
\(493\) −9.18477 + 20.1118i −0.413661 + 0.905791i
\(494\) −4.68647 15.9606i −0.210854 0.718103i
\(495\) −2.23674 7.61765i −0.100534 0.342388i
\(496\) −0.377716 0.172497i −0.0169599 0.00774534i
\(497\) −15.5968 + 13.9476i −0.699612 + 0.625633i
\(498\) 5.16824 4.47830i 0.231594 0.200678i
\(499\) 7.29286 + 15.9691i 0.326473 + 0.714877i 0.999698 0.0245610i \(-0.00781880\pi\)
−0.673225 + 0.739438i \(0.735092\pi\)
\(500\) −10.0694 + 6.47120i −0.450316 + 0.289401i
\(501\) −0.323973 + 2.25328i −0.0144740 + 0.100669i
\(502\) −12.2677 7.88396i −0.547533 0.351878i
\(503\) 11.0358 12.7360i 0.492061 0.567869i −0.454354 0.890821i \(-0.650130\pi\)
0.946415 + 0.322952i \(0.104675\pi\)
\(504\) 0.784992 + 2.52662i 0.0349663 + 0.112544i
\(505\) 29.6752i 1.32053i
\(506\) −18.7108 + 2.66463i −0.831795 + 0.118457i
\(507\) 6.92446i 0.307526i
\(508\) 6.43149 + 1.88846i 0.285351 + 0.0837867i
\(509\) −10.7687 9.33110i −0.477313 0.413594i 0.382695 0.923875i \(-0.374996\pi\)
−0.860008 + 0.510281i \(0.829541\pi\)
\(510\) −3.52502 + 5.48504i −0.156091 + 0.242882i
\(511\) 10.8233 + 22.7514i 0.478793 + 1.00646i
\(512\) 0.841254 0.540641i 0.0371785 0.0238932i
\(513\) 3.38985 1.54809i 0.149666 0.0683500i
\(514\) 19.4427 16.8472i 0.857581 0.743099i
\(515\) −5.16272 35.9075i −0.227497 1.58227i
\(516\) 4.18216 9.15766i 0.184109 0.403143i
\(517\) −28.8672 + 8.47618i −1.26958 + 0.372782i
\(518\) −12.3086 + 14.6619i −0.540809 + 0.644208i
\(519\) −3.17249 + 6.94677i −0.139257 + 0.304930i
\(520\) −8.90106 + 1.27978i −0.390337 + 0.0561220i
\(521\) −2.77783 3.20579i −0.121699 0.140448i 0.691630 0.722252i \(-0.256893\pi\)
−0.813329 + 0.581803i \(0.802347\pi\)
\(522\) −2.83796 6.21427i −0.124214 0.271991i
\(523\) −16.3889 + 10.5325i −0.716637 + 0.460554i −0.847465 0.530851i \(-0.821873\pi\)
0.130829 + 0.991405i \(0.458236\pi\)
\(524\) 4.29154 + 0.617031i 0.187477 + 0.0269551i
\(525\) −2.49024 + 0.0389377i −0.108683 + 0.00169938i
\(526\) 4.67653 + 4.05223i 0.203906 + 0.176686i
\(527\) 0.378615 1.28944i 0.0164927 0.0561691i
\(528\) −3.94083 −0.171503
\(529\) −22.0856 + 6.42072i −0.960244 + 0.279162i
\(530\) 15.9947i 0.694767i
\(531\) −1.06303 + 3.62034i −0.0461315 + 0.157109i
\(532\) 9.78010 + 1.25043i 0.424021 + 0.0542131i
\(533\) −2.40664 1.54666i −0.104243 0.0669931i
\(534\) 16.8115 + 2.41713i 0.727504 + 0.104599i
\(535\) −3.06953 4.77628i −0.132707 0.206497i
\(536\) 9.60291 4.38550i 0.414782 0.189425i
\(537\) −11.0537 + 9.57810i −0.477003 + 0.413325i
\(538\) −15.2386 + 2.19099i −0.656984 + 0.0944601i
\(539\) 20.2730 18.7078i 0.873219 0.805803i
\(540\) −0.567582 1.93301i −0.0244248 0.0831833i
\(541\) 4.81272 1.41314i 0.206915 0.0607557i −0.176633 0.984277i \(-0.556520\pi\)
0.383547 + 0.923521i \(0.374702\pi\)
\(542\) −13.0285 5.94992i −0.559622 0.255571i
\(543\) 22.6704 3.25951i 0.972880 0.139879i
\(544\) 2.11939 + 2.44590i 0.0908680 + 0.104867i
\(545\) 17.5447 8.01242i 0.751534 0.343214i
\(546\) −10.8180 4.73741i −0.462966 0.202743i
\(547\) −1.01704 + 7.07369i −0.0434857 + 0.302449i 0.956458 + 0.291869i \(0.0942771\pi\)
−0.999944 + 0.0105806i \(0.996632\pi\)
\(548\) 5.93565 9.23605i 0.253558 0.394544i
\(549\) −1.85829 + 2.14459i −0.0793101 + 0.0915287i
\(550\) 1.04513 3.55939i 0.0445645 0.151773i
\(551\) −25.4589 −1.08459
\(552\) −4.74793 + 0.676160i −0.202085 + 0.0287793i
\(553\) 3.50077 2.32794i 0.148868 0.0989942i
\(554\) −5.44914 1.60001i −0.231512 0.0679779i
\(555\) 9.54581 11.0164i 0.405197 0.467622i
\(556\) −8.92343 + 13.8851i −0.378438 + 0.588861i
\(557\) 8.14384 + 1.17091i 0.345066 + 0.0496130i 0.312669 0.949862i \(-0.398777\pi\)
0.0323966 + 0.999475i \(0.489686\pi\)
\(558\) 0.224496 + 0.349322i 0.00950366 + 0.0147880i
\(559\) 18.6678 + 40.8769i 0.789566 + 1.72891i
\(560\) 1.42154 5.13711i 0.0600710 0.217082i
\(561\) −1.81509 12.6243i −0.0766333 0.532997i
\(562\) 19.4224 + 8.86990i 0.819283 + 0.374154i
\(563\) 1.47043 0.431756i 0.0619710 0.0181963i −0.250600 0.968091i \(-0.580628\pi\)
0.312571 + 0.949894i \(0.398810\pi\)
\(564\) −7.32517 + 2.15086i −0.308445 + 0.0905677i
\(565\) −31.3168 14.3019i −1.31751 0.601685i
\(566\) 0.370395 + 2.57616i 0.0155689 + 0.108284i
\(567\) 0.705615 2.54992i 0.0296330 0.107087i
\(568\) −3.28525 7.19369i −0.137846 0.301841i
\(569\) 0.367450 + 0.571763i 0.0154043 + 0.0239696i 0.848870 0.528601i \(-0.177283\pi\)
−0.833466 + 0.552571i \(0.813647\pi\)
\(570\) −7.43127 1.06846i −0.311262 0.0447527i
\(571\) 2.61885 4.07501i 0.109595 0.170534i −0.782123 0.623123i \(-0.785863\pi\)
0.891719 + 0.452590i \(0.149500\pi\)
\(572\) 11.5194 13.2941i 0.481650 0.555854i
\(573\) 9.39590 + 2.75889i 0.392519 + 0.115254i
\(574\) 1.41198 0.938936i 0.0589348 0.0391904i
\(575\) 0.648464 4.46769i 0.0270428 0.186315i
\(576\) −1.00000 −0.0416667
\(577\) −8.58625 + 29.2421i −0.357450 + 1.21736i 0.562984 + 0.826468i \(0.309653\pi\)
−0.920435 + 0.390896i \(0.872165\pi\)
\(578\) 4.27346 4.93183i 0.177752 0.205137i
\(579\) 0.0401857 0.0625302i 0.00167006 0.00259867i
\(580\) −1.95869 + 13.6230i −0.0813302 + 0.565664i
\(581\) −16.5736 7.25793i −0.687588 0.301110i
\(582\) 14.0839 6.43192i 0.583798 0.266611i
\(583\) 20.4891 + 23.6456i 0.848570 + 0.979302i
\(584\) −9.42575 + 1.35522i −0.390041 + 0.0560794i
\(585\) 8.17995 + 3.73566i 0.338199 + 0.154450i
\(586\) 1.78059 0.522829i 0.0735556 0.0215979i
\(587\) 2.96095 + 10.0841i 0.122211 + 0.416214i 0.997758 0.0669190i \(-0.0213169\pi\)
−0.875547 + 0.483133i \(0.839499\pi\)
\(588\) 5.14434 4.74718i 0.212149 0.195770i
\(589\) 1.53169 0.220224i 0.0631122 0.00907417i
\(590\) 5.74482 4.97792i 0.236511 0.204938i
\(591\) 15.3358 7.00364i 0.630831 0.288091i
\(592\) −3.91184 6.08694i −0.160776 0.250172i
\(593\) −20.9496 3.01210i −0.860298 0.123692i −0.301975 0.953316i \(-0.597646\pi\)
−0.558323 + 0.829624i \(0.688555\pi\)
\(594\) 3.31524 + 2.13057i 0.136026 + 0.0874185i
\(595\) 17.1112 + 2.18775i 0.701492 + 0.0896890i
\(596\) −3.40606 + 11.6000i −0.139518 + 0.475154i
\(597\) 2.78163i 0.113844i
\(598\) 11.5976 17.9933i 0.474263 0.735799i
\(599\) 37.2750 1.52302 0.761508 0.648156i \(-0.224459\pi\)
0.761508 + 0.648156i \(0.224459\pi\)
\(600\) 0.265206 0.903208i 0.0108270 0.0368733i
\(601\) −15.4926 13.4244i −0.631958 0.547595i 0.278897 0.960321i \(-0.410031\pi\)
−0.910855 + 0.412726i \(0.864577\pi\)
\(602\) −26.6327 + 0.416431i −1.08547 + 0.0169725i
\(603\) −10.4495 1.50241i −0.425535 0.0611827i
\(604\) −14.7866 + 9.50275i −0.601657 + 0.386661i
\(605\) −3.79127 8.30172i −0.154137 0.337513i
\(606\) 9.64608 + 11.1322i 0.391845 + 0.452214i
\(607\) −21.1923 + 3.04699i −0.860168 + 0.123673i −0.558262 0.829664i \(-0.688532\pi\)
−0.301905 + 0.953338i \(0.597623\pi\)
\(608\) −1.54809 + 3.38985i −0.0627835 + 0.137477i
\(609\) −11.6215 + 13.8434i −0.470926 + 0.560963i
\(610\) 5.48528 1.61062i 0.222093 0.0652122i
\(611\) 14.1563 30.9981i 0.572705 1.25405i
\(612\) −0.460587 3.20345i −0.0186181 0.129492i
\(613\) −15.1550 + 13.1319i −0.612104 + 0.530391i −0.904812 0.425811i \(-0.859989\pi\)
0.292709 + 0.956202i \(0.405443\pi\)
\(614\) 9.96341 4.55014i 0.402090 0.183629i
\(615\) −1.08620 + 0.698058i −0.0437998 + 0.0281484i
\(616\) 4.47905 + 9.41536i 0.180466 + 0.379356i
\(617\) −20.5811 + 32.0248i −0.828564 + 1.28927i 0.126229 + 0.992001i \(0.459713\pi\)
−0.954793 + 0.297270i \(0.903924\pi\)
\(618\) 13.6087 + 11.7920i 0.547420 + 0.474342i
\(619\) 16.2324 + 4.76628i 0.652437 + 0.191573i 0.591168 0.806548i \(-0.298667\pi\)
0.0612691 + 0.998121i \(0.480485\pi\)
\(620\) 0.836548i 0.0335966i
\(621\) 4.35977 + 1.99810i 0.174952 + 0.0801810i
\(622\) 1.19736i 0.0480098i
\(623\) −13.3326 42.9130i −0.534159 1.71927i
\(624\) 2.92309 3.37343i 0.117017 0.135045i
\(625\) −16.3264 10.4923i −0.653055 0.419693i
\(626\) −0.647342 + 4.50236i −0.0258730 + 0.179951i
\(627\) 12.3546 7.93983i 0.493396 0.317086i
\(628\) −9.67295 21.1808i −0.385993 0.845206i
\(629\) 17.6975 15.3350i 0.705645 0.611445i
\(630\) −3.97320 + 3.55307i −0.158296 + 0.141558i
\(631\) −1.31611 0.601047i −0.0523935 0.0239273i 0.389046 0.921218i \(-0.372805\pi\)
−0.441439 + 0.897291i \(0.645532\pi\)
\(632\) 0.447677 + 1.52465i 0.0178076 + 0.0606472i
\(633\) 7.06753 + 24.0698i 0.280909 + 0.956689i
\(634\) −7.48368 + 16.3870i −0.297215 + 0.650809i
\(635\) 1.92181 + 13.3665i 0.0762648 + 0.530434i
\(636\) 5.19918 + 6.00017i 0.206161 + 0.237922i
\(637\) 0.976885 + 31.2305i 0.0387056 + 1.23740i
\(638\) −14.5553 22.6485i −0.576249 0.896662i
\(639\) −1.12548 + 7.82786i −0.0445232 + 0.309665i
\(640\) 1.69480 + 1.08918i 0.0669928 + 0.0430537i
\(641\) 25.8590 + 22.4069i 1.02137 + 0.885021i 0.993413 0.114588i \(-0.0365548\pi\)
0.0279557 + 0.999609i \(0.491100\pi\)
\(642\) 2.70404 + 0.793978i 0.106720 + 0.0313358i
\(643\) 38.2538 1.50858 0.754292 0.656539i \(-0.227980\pi\)
0.754292 + 0.656539i \(0.227980\pi\)
\(644\) 7.01185 + 10.5752i 0.276306 + 0.416720i
\(645\) 20.2820 0.798602
\(646\) −11.5723 3.39792i −0.455305 0.133690i
\(647\) −10.5188 9.11456i −0.413535 0.358330i 0.423107 0.906080i \(-0.360939\pi\)
−0.836643 + 0.547749i \(0.815485\pi\)
\(648\) 0.841254 + 0.540641i 0.0330476 + 0.0212384i
\(649\) −2.11614 + 14.7181i −0.0830659 + 0.577736i
\(650\) 2.27169 + 3.53481i 0.0891028 + 0.138647i
\(651\) 0.579438 0.933393i 0.0227100 0.0365826i
\(652\) 14.3544 + 16.5659i 0.562162 + 0.648770i
\(653\) 2.79761 + 19.4578i 0.109479 + 0.761442i 0.968412 + 0.249355i \(0.0802185\pi\)
−0.858933 + 0.512087i \(0.828872\pi\)
\(654\) −3.97715 + 8.70875i −0.155519 + 0.340539i
\(655\) 2.46085 + 8.38088i 0.0961533 + 0.327468i
\(656\) 0.180563 + 0.614941i 0.00704980 + 0.0240094i
\(657\) 8.66214 + 3.95587i 0.337942 + 0.154333i
\(658\) 13.4644 + 15.0565i 0.524898 + 0.586965i
\(659\) 6.36468 5.51502i 0.247933 0.214835i −0.522024 0.852931i \(-0.674823\pi\)
0.769957 + 0.638096i \(0.220278\pi\)
\(660\) −3.29808 7.22179i −0.128378 0.281108i
\(661\) −20.8705 + 13.4126i −0.811768 + 0.521691i −0.879436 0.476016i \(-0.842080\pi\)
0.0676686 + 0.997708i \(0.478444\pi\)
\(662\) −3.24857 + 22.5943i −0.126259 + 0.878152i
\(663\) 12.1529 + 7.81023i 0.471981 + 0.303324i
\(664\) 4.47830 5.16824i 0.173792 0.200567i
\(665\) 5.89348 + 18.9691i 0.228539 + 0.735588i
\(666\) 7.23556i 0.280372i
\(667\) −21.4223 24.7896i −0.829473 0.959857i
\(668\) 2.27645i 0.0880785i
\(669\) −0.625728 0.183730i −0.0241921 0.00710343i
\(670\) 16.0733 + 13.9276i 0.620968 + 0.538072i
\(671\) −6.04592 + 9.40763i −0.233400 + 0.363177i
\(672\) 1.13658 + 2.38918i 0.0438444 + 0.0921647i
\(673\) −21.7630 + 13.9862i −0.838900 + 0.539129i −0.888095 0.459661i \(-0.847971\pi\)
0.0491942 + 0.998789i \(0.484335\pi\)
\(674\) −10.4454 + 4.77027i −0.402343 + 0.183744i
\(675\) −0.711416 + 0.616446i −0.0273824 + 0.0237270i
\(676\) 0.985454 + 6.85398i 0.0379021 + 0.263615i
\(677\) 16.2446 35.5708i 0.624332 1.36710i −0.287994 0.957632i \(-0.592988\pi\)
0.912326 0.409465i \(-0.134285\pi\)
\(678\) 16.3969 4.81456i 0.629719 0.184902i
\(679\) −31.3745 26.3387i −1.20404 1.01079i
\(680\) −2.70854 + 5.93087i −0.103868 + 0.227439i
\(681\) 19.1377 2.75159i 0.733359 0.105441i
\(682\) 1.07161 + 1.23670i 0.0410340 + 0.0473557i
\(683\) −1.89707 4.15401i −0.0725894 0.158949i 0.869859 0.493301i \(-0.164210\pi\)
−0.942448 + 0.334352i \(0.891483\pi\)
\(684\) 3.13503 2.01476i 0.119871 0.0770364i
\(685\) 21.8931 + 3.14775i 0.836493 + 0.120270i
\(686\) −17.1888 6.89524i −0.656272 0.263261i
\(687\) −9.70195 8.40678i −0.370152 0.320739i
\(688\) 2.83632 9.65963i 0.108134 0.368270i
\(689\) −35.4388 −1.35011
\(690\) −5.21264 8.13496i −0.198442 0.309693i
\(691\) 20.2686i 0.771055i 0.922696 + 0.385528i \(0.125981\pi\)
−0.922696 + 0.385528i \(0.874019\pi\)
\(692\) −2.15157 + 7.32756i −0.0817902 + 0.278552i
\(693\) 1.32231 10.3423i 0.0502303 0.392870i
\(694\) −3.19241 2.05163i −0.121182 0.0778790i
\(695\) −32.9133 4.73222i −1.24847 0.179503i
\(696\) −3.69346 5.74713i −0.140000 0.217845i
\(697\) −1.88677 + 0.861658i −0.0714665 + 0.0326376i
\(698\) 2.77295 2.40277i 0.104958 0.0909463i
\(699\) −6.26850 + 0.901274i −0.237096 + 0.0340893i
\(700\) −2.45936 + 0.392940i −0.0929549 + 0.0148517i
\(701\) −6.67660 22.7384i −0.252172 0.858818i −0.984127 0.177465i \(-0.943210\pi\)
0.731955 0.681352i \(-0.238608\pi\)
\(702\) −4.28287 + 1.25756i −0.161647 + 0.0474637i
\(703\) 24.5275 + 11.2013i 0.925072 + 0.422466i
\(704\) −3.90072 + 0.560838i −0.147014 + 0.0211374i
\(705\) −10.0720 11.6237i −0.379334 0.437775i
\(706\) −21.7068 + 9.91317i −0.816947 + 0.373087i
\(707\) 15.6333 35.6988i 0.587950 1.34259i
\(708\) −0.536979 + 3.73477i −0.0201809 + 0.140361i
\(709\) 22.9914 35.7754i 0.863461 1.34357i −0.0746399 0.997211i \(-0.523781\pi\)
0.938101 0.346361i \(-0.112583\pi\)
\(710\) 10.4334 12.0408i 0.391559 0.451883i
\(711\) 0.447677 1.52465i 0.0167892 0.0571787i
\(712\) 16.9844 0.636516
\(713\) 1.50327 + 1.30612i 0.0562978 + 0.0489145i
\(714\) −7.13014 + 4.74140i −0.266839 + 0.177442i
\(715\) 34.0028 + 9.98411i 1.27163 + 0.373384i
\(716\) −9.57810 + 11.0537i −0.357950 + 0.413097i
\(717\) 2.85317 4.43962i 0.106554 0.165801i
\(718\) 24.3393 + 3.49947i 0.908336 + 0.130599i
\(719\) 13.7612 + 21.4128i 0.513205 + 0.798563i 0.997063 0.0765835i \(-0.0244012\pi\)
−0.483858 + 0.875147i \(0.660765\pi\)
\(720\) −0.836900 1.83256i −0.0311894 0.0682953i
\(721\) 12.7059 45.9160i 0.473192 1.71000i
\(722\) 0.727557 + 5.06027i 0.0270769 + 0.188324i
\(723\) 14.0855 + 6.43264i 0.523846 + 0.239232i
\(724\) 21.9758 6.45267i 0.816723 0.239811i
\(725\) 6.17039 1.81179i 0.229162 0.0672881i
\(726\) 4.12075 + 1.88188i 0.152935 + 0.0698433i
\(727\) −1.19458 8.30846i −0.0443044 0.308144i −0.999909 0.0134917i \(-0.995705\pi\)
0.955605 0.294652i \(-0.0952038\pi\)
\(728\) −11.3820 3.14964i −0.421847 0.116733i
\(729\) −0.415415 0.909632i −0.0153857 0.0336901i
\(730\) −10.3719 16.1390i −0.383882 0.597333i
\(731\) 32.2505 + 4.63693i 1.19283 + 0.171503i
\(732\) −1.53417 + 2.38722i −0.0567047 + 0.0882342i
\(733\) 18.5485 21.4061i 0.685105 0.790653i −0.301555 0.953449i \(-0.597506\pi\)
0.986660 + 0.162796i \(0.0520511\pi\)
\(734\) −24.2623 7.12406i −0.895538 0.262954i
\(735\) 13.0048 + 5.45438i 0.479688 + 0.201188i
\(736\) −4.60337 + 1.34498i −0.169683 + 0.0495766i
\(737\) −41.6030 −1.53247
\(738\) 0.180563 0.614941i 0.00664661 0.0226363i
\(739\) 21.7246 25.0715i 0.799152 0.922271i −0.199182 0.979962i \(-0.563829\pi\)
0.998334 + 0.0576918i \(0.0183741\pi\)
\(740\) 7.88084 12.2628i 0.289705 0.450790i
\(741\) −2.36733 + 16.4651i −0.0869660 + 0.604862i
\(742\) 8.42624 19.2414i 0.309337 0.706375i
\(743\) −20.5907 + 9.40347i −0.755400 + 0.344980i −0.755611 0.655020i \(-0.772660\pi\)
0.000210996 1.00000i \(0.499933\pi\)
\(744\) 0.271924 + 0.313818i 0.00996924 + 0.0115051i
\(745\) −24.1082 + 3.46623i −0.883255 + 0.126993i
\(746\) 11.3495 + 5.18314i 0.415535 + 0.189768i
\(747\) −6.56155 + 1.92665i −0.240075 + 0.0704923i
\(748\) −3.59324 12.2374i −0.131382 0.447445i
\(749\) −1.17639 7.36287i −0.0429844 0.269033i
\(750\) 11.8477 1.70344i 0.432615 0.0622007i
\(751\) 15.0443 13.0360i 0.548976 0.475690i −0.335653 0.941986i \(-0.608957\pi\)
0.884629 + 0.466296i \(0.154412\pi\)
\(752\) −6.94451 + 3.17145i −0.253240 + 0.115651i
\(753\) 7.88396 + 12.2677i 0.287307 + 0.447059i
\(754\) 30.1838 + 4.33978i 1.09923 + 0.158046i
\(755\) −29.7892 19.1443i −1.08414 0.696734i
\(756\) 0.335541 2.62439i 0.0122035 0.0954481i
\(757\) 12.0321 40.9777i 0.437316 1.48936i −0.386386 0.922337i \(-0.626277\pi\)
0.823702 0.567023i \(-0.191905\pi\)
\(758\) 26.8553i 0.975427i
\(759\) 18.1268 + 5.34890i 0.657963 + 0.194153i
\(760\) −7.50769 −0.272333
\(761\) 14.0389 47.8122i 0.508911 1.73319i −0.157418 0.987532i \(-0.550317\pi\)
0.666329 0.745658i \(-0.267865\pi\)
\(762\) −5.06579 4.38954i −0.183514 0.159016i
\(763\) 25.3271 0.396017i 0.916903 0.0143368i
\(764\) 9.69289 + 1.39363i 0.350677 + 0.0504197i
\(765\) 5.48504 3.52502i 0.198312 0.127447i
\(766\) −7.97106 17.4542i −0.288006 0.630645i
\(767\) −11.0293 12.7285i −0.398247 0.459601i
\(768\) −0.989821 + 0.142315i −0.0357171 + 0.00513534i
\(769\) 20.2765 44.3993i 0.731189 1.60108i −0.0663379 0.997797i \(-0.521132\pi\)
0.797527 0.603283i \(-0.206141\pi\)
\(770\) −13.5056 + 16.0878i −0.486710 + 0.579765i
\(771\) −24.6843 + 7.24796i −0.888983 + 0.261029i
\(772\) 0.0308777 0.0676127i 0.00111131 0.00243344i
\(773\) 2.87758 + 20.0140i 0.103500 + 0.719855i 0.973812 + 0.227355i \(0.0730077\pi\)
−0.870312 + 0.492500i \(0.836083\pi\)
\(774\) −7.60846 + 6.59277i