Properties

Label 966.2.s.a.97.7
Level $966$
Weight $2$
Character 966.97
Analytic conductor $7.714$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $4$

Related objects

Downloads

Learn more about

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 97.7
Character \(\chi\) \(=\) 966.97
Dual form 966.2.s.a.727.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.959493 - 0.281733i) q^{2} +(-0.755750 - 0.654861i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.286709 - 1.99411i) q^{5} +(0.540641 + 0.841254i) q^{6} +(-2.61261 - 0.417427i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(0.142315 + 0.989821i) q^{9} +O(q^{10})\) \(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} +(-2.61261 - 0.417427i) 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} +(2.38918 + 1.13658i) 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} +(1.70113 + 2.02637i) 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} +(-1.97219 - 1.76365i) 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} +(-1.58145 + 5.09015i) 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} +(-1.06132 - 2.42355i) 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} +(6.65151 + 2.18115i) 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} +(1.39543 + 2.24784i) 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} +(0.0413642 - 2.64543i) 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} +(-1.32231 - 10.3423i) 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} +(0.335541 + 2.62439i) 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} +(-5.76758 - 3.96675i) 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 \(-0.805798\pi\)
0.947809 0.318839i \(-0.103293\pi\)
\(6\) 0.540641 + 0.841254i 0.220716 + 0.343440i
\(7\) −2.61261 0.417427i −0.987475 0.157772i
\(8\) −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 0.889326 0.457273i \(-0.151174\pi\)
0.236801 + 0.971558i \(0.423901\pi\)
\(14\) 2.38918 + 1.13658i 0.638536 + 0.303763i
\(15\) −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 −0.167095 0.985941i \(-0.553439\pi\)
0.827429 + 0.561570i \(0.189802\pi\)
\(18\) 0.142315 0.989821i 0.0335439 0.233303i
\(19\) 3.13503 + 2.01476i 0.719226 + 0.462218i 0.848367 0.529408i \(-0.177586\pi\)
−0.129142 + 0.991626i \(0.541222\pi\)
\(20\) 1.31929 1.52254i 0.295002 0.340451i
\(21\) 1.70113 + 2.02637i 0.371216 + 0.442190i
\(22\) 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
\(28\) −1.97219 1.76365i −0.372709 0.333298i
\(29\) 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 −0.626224 0.779643i \(-0.715400\pi\)
0.682587 + 0.730804i \(0.260855\pi\)
\(32\) −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
\(35\) −1.58145 + 5.09015i −0.267314 + 0.860392i
\(36\) −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 0.0925999 0.995703i \(-0.470482\pi\)
−0.191673 + 0.981459i \(0.561391\pi\)
\(42\) −1.06132 2.42355i −0.163766 0.373962i
\(43\) −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 \(-0.812030\pi\)
0.830649 0.556797i \(-0.187970\pi\)
\(48\) 0.281733 0.959493i 0.0406646 0.138491i
\(49\) 6.65151 + 2.18115i 0.950216 + 0.311593i
\(50\) −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
\(56\) 1.39543 + 2.24784i 0.186472 + 0.300380i
\(57\) −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 0.179272 0.983799i \(-0.442626\pi\)
−0.626108 + 0.779737i \(0.715353\pi\)
\(60\) −1.99411 + 0.286709i −0.257438 + 0.0370140i
\(61\) −1.85829 2.14459i −0.237930 0.274586i 0.624209 0.781257i \(-0.285421\pi\)
−0.862139 + 0.506671i \(0.830876\pi\)
\(62\) −0.377716 + 0.172497i −0.0479699 + 0.0219071i
\(63\) 0.0413642 2.64543i 0.00521139 0.333293i
\(64\) −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 \(0.369970\pi\)
−0.999802 + 0.0198977i \(0.993666\pi\)
\(74\) 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
\(77\) −1.32231 10.3423i −0.150691 1.17861i
\(78\) 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 \(-0.922989\pi\)
0.864050 0.503406i \(-0.167920\pi\)
\(84\) 0.335541 + 2.62439i 0.0366105 + 0.286344i
\(85\) −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 \(-0.416170\pi\)
0.918645 0.395085i \(-0.129285\pi\)
\(90\) −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 \(-0.666676\pi\)
0.723753 0.690059i \(-0.242415\pi\)
\(98\) −5.76758 3.96675i −0.582613 0.400702i
\(99\) −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 0.628554 0.777766i \(-0.283647\pi\)
0.822215 + 0.569177i \(0.192738\pi\)
\(102\) 2.94393 + 1.34445i 0.291492 + 0.133120i
\(103\) 17.2774 5.07311i 1.70240 0.499868i 0.721174 0.692754i \(-0.243603\pi\)
0.981221 + 0.192885i \(0.0617845\pi\)
\(104\) −1.25756 4.28287i −0.123314 0.419970i
\(105\) 4.52852 2.81125i 0.441939 0.274350i
\(106\) −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
\(112\) −0.705615 2.54992i −0.0666743 0.240945i
\(113\) −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
\(119\) −7.84356 + 3.43486i −0.719018 + 0.314874i
\(120\) 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
\(126\) −0.784992 + 2.52662i −0.0699326 + 0.225089i
\(127\) 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 −0.580184 0.814485i \(-0.697019\pi\)
0.235607 + 0.971848i \(0.424292\pi\)
\(132\) 3.31524 2.13057i 0.288554 0.185443i
\(133\) −7.34961 6.57244i −0.637292 0.569903i
\(134\) 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 \(-0.753192\pi\)
0.714163 0.699980i \(-0.246808\pi\)
\(140\) −4.08235 + 3.42711i −0.345021 + 0.289644i
\(141\) −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
\(147\) −3.59853 6.00422i −0.296801 0.495219i
\(148\) −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
\(154\) −1.64501 + 10.2959i −0.132558 + 0.829665i
\(155\) −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 \(0.0612978\pi\)
0.581826 + 0.813313i \(0.302339\pi\)
\(158\) 1.20090 + 1.04058i 0.0955381 + 0.0827843i
\(159\) −7.61776 2.23678i −0.604128 0.177388i
\(160\) −2.01461 −0.159269
\(161\) −0.215366 + 12.6867i −0.0169732 + 0.999856i
\(162\) 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 0.790365 0.612636i \(-0.209891\pi\)
−0.885603 + 0.464443i \(0.846254\pi\)
\(168\) 0.417427 2.61261i 0.0322052 0.201568i
\(169\) 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 \(-0.997150\pi\)
0.836379 0.548151i \(-0.184668\pi\)
\(174\) 6.21427 + 2.83796i 0.471103 + 0.215145i
\(175\) −2.24903 1.06990i −0.170011 0.0808771i
\(176\) −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 \(0.551399\pi\)
−0.954065 + 0.299600i \(0.903147\pi\)
\(182\) 7.59329 + 9.04507i 0.562852 + 0.670465i
\(183\) 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
\(189\) −1.76365 + 1.97219i −0.128287 + 0.143456i
\(190\) −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
\(196\) 4.41639 + 5.43098i 0.315456 + 0.387927i
\(197\) 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 0.816632 0.577159i \(-0.195839\pi\)
−0.687503 + 0.726181i \(0.741293\pi\)
\(200\) −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
\(203\) −16.5568 + 7.25058i −1.16206 + 0.508891i
\(204\) −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
\(210\) −5.13711 + 1.42154i −0.354494 + 0.0980955i
\(211\) 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
\(217\) −0.933393 + 0.579438i −0.0633628 + 0.0393348i
\(218\) 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 −0.395454 0.918486i \(-0.629413\pi\)
0.435178 + 0.900344i \(0.356685\pi\)
\(224\) −0.0413642 + 2.64543i −0.00276376 + 0.176755i
\(225\) −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 −0.999849 0.0173649i \(-0.994472\pi\)
0.159481 + 0.987201i \(0.449018\pi\)
\(228\) 1.04991 3.57567i 0.0695320 0.236804i
\(229\) 12.8375 0.848327 0.424163 0.905586i \(-0.360568\pi\)
0.424163 + 0.905586i \(0.360568\pi\)
\(230\) 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
\(238\) 8.49356 1.08594i 0.550555 0.0703911i
\(239\) −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 −0.722724 0.691137i \(-0.757110\pi\)
−0.234338 + 0.972155i \(0.575292\pi\)
\(242\) 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
\(245\) 6.25649 12.6385i 0.399713 0.807442i
\(246\) −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 −0.191458 0.981501i \(-0.561322\pi\)
−0.691704 + 0.722181i \(0.743140\pi\)
\(252\) 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 \(-0.521746\pi\)
0.935868 0.352350i \(-0.114617\pi\)
\(258\) 1.43275 9.96496i 0.0891988 0.620391i
\(259\) 19.1412 + 0.299293i 1.18937 + 0.0185972i
\(260\) 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
\(266\) 5.20023 + 8.37684i 0.318847 + 0.513617i
\(267\) −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 −0.793742 0.608254i \(-0.791870\pi\)
−0.0601027 + 0.998192i \(0.519143\pi\)
\(270\) 1.08918 + 1.69480i 0.0662855 + 0.103142i
\(271\) −14.1770 2.03835i −0.861194 0.123821i −0.302454 0.953164i \(-0.597806\pi\)
−0.558740 + 0.829343i \(0.688715\pi\)
\(272\) 2.72263 + 1.74973i 0.165084 + 0.106093i
\(273\) 3.14964 + 11.3820i 0.190625 + 0.688873i
\(274\) −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
\(280\) 4.88251 2.13816i 0.291786 0.127779i
\(281\) −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 0.939041 0.343805i \(-0.111716\pi\)
−0.874772 + 0.484535i \(0.838989\pi\)
\(284\) 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
\(287\) 1.61931 + 0.503103i 0.0955850 + 0.0296972i
\(288\) 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 −0.494244 0.869323i \(-0.664555\pi\)
0.585448 + 0.810710i \(0.300919\pi\)
\(294\) 1.76118 + 6.77483i 0.102714 + 0.395116i
\(295\) −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
\(301\) 17.1260 + 20.4003i 0.987125 + 1.17586i
\(302\) 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 −0.385827 0.922571i \(-0.626084\pi\)
0.858272 + 0.513195i \(0.171538\pi\)
\(308\) 4.47905 9.41536i 0.255218 0.536490i
\(309\) −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 0.949376 0.314143i \(-0.101717\pi\)
−0.968504 + 0.248997i \(0.919899\pi\)
\(312\) −1.85428 + 4.06031i −0.104978 + 0.229870i
\(313\) 0.647342 + 4.50236i 0.0365899 + 0.254489i 0.999904 0.0138897i \(-0.00442136\pi\)
−0.963314 + 0.268378i \(0.913512\pi\)
\(314\) −15.2484 17.5976i −0.860520 0.993092i
\(315\) −5.26340 0.840953i −0.296559 0.0473823i
\(316\) −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
\(322\) 3.78091 12.1122i 0.210702 0.674985i
\(323\) 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
\(329\) −3.18681 + 19.9458i −0.175694 + 1.09965i
\(330\) 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
\(336\) −1.13658 + 2.38918i −0.0620053 + 0.130341i
\(337\) 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
\(343\) −16.4674 8.47502i −0.889154 0.457608i
\(344\) 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 −0.784095 0.620641i \(-0.786873\pi\)
0.890279 + 0.455415i \(0.150509\pi\)
\(350\) 1.85650 + 1.66019i 0.0992342 + 0.0887409i
\(351\) 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 −0.985801 0.167916i \(-0.946296\pi\)
0.0259124 + 0.999664i \(0.491751\pi\)
\(354\) −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
\(357\) 8.17713 + 2.54054i 0.432779 + 0.134460i
\(358\) 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
\(364\) −4.73741 10.8180i −0.248308 0.567015i
\(365\) 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 \(-0.729433\pi\)
−0.659975 + 0.751288i \(0.729433\pi\)
\(368\) 4.03798 2.58742i 0.210494 0.134878i
\(369\) 0.640902i 0.0333640i
\(370\) 4.10677 13.9864i 0.213501 0.727117i
\(371\) −20.2448 + 5.60213i −1.05106 + 0.290848i
\(372\) −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
\(378\) 2.24784 1.39543i 0.115616 0.0717731i
\(379\) 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 0.337668 0.941265i \(-0.390362\pi\)
−0.979740 + 0.200275i \(0.935816\pi\)
\(384\) −0.909632 + 0.415415i −0.0464195 + 0.0211991i
\(385\) −21.0027 0.328400i −1.07040 0.0167368i
\(386\) −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 0.908695 0.417461i \(-0.137080\pi\)
−0.757222 + 0.653158i \(0.773444\pi\)
\(398\) −1.15553 2.53026i −0.0579214 0.126830i
\(399\) 1.25043 + 9.78010i 0.0625999 + 0.489617i
\(400\) 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
\(406\) 17.9289 2.29229i 0.889794 0.113764i
\(407\) −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 0.367225 0.930132i \(-0.380308\pi\)
0.0903015 + 0.995914i \(0.471217\pi\)
\(410\) 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 \(-0.820013\pi\)
0.961098 0.276207i \(-0.0890774\pi\)
\(420\) 5.32951 + 0.0833327i 0.260053 + 0.00406622i
\(421\) 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
\(427\) 3.95980 + 6.37868i 0.191628 + 0.308686i
\(428\) −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 0.554330 0.832297i \(-0.312975\pi\)
−0.526807 + 0.849985i \(0.676611\pi\)
\(434\) 1.05883 0.293000i 0.0508255 0.0140644i
\(435\) −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 −0.980244 0.197792i \(-0.936623\pi\)
0.931568 + 0.363567i \(0.118441\pi\)
\(440\) −6.00008 5.19910i −0.286042 0.247857i
\(441\) −1.21234 + 6.89422i −0.0577305 + 0.328296i
\(442\) −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
\(448\) 0.784992 2.52662i 0.0370874 0.119371i
\(449\) −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
\(455\) −15.8598 + 17.7351i −0.743517 + 0.831435i
\(456\) −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 \(0.0748933\pi\)
−0.972448 + 0.233119i \(0.925107\pi\)
\(462\) 7.98557 6.70385i 0.371522 0.311891i
\(463\) −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 0.997629 0.0688191i \(-0.0219231\pi\)
−0.705318 + 0.708891i \(0.749196\pi\)
\(468\) −3.37343 + 2.92309i −0.155937 + 0.135120i
\(469\) 11.9987 25.2224i 0.554051 1.16466i
\(470\) 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
\(476\) −8.45545 1.35096i −0.387555 0.0619210i
\(477\) 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 0.697628 0.716460i \(-0.254239\pi\)
−0.361910 + 0.932213i \(0.617875\pi\)
\(480\) 1.52254 + 1.31929i 0.0694942 + 0.0602171i
\(481\) −30.9890 9.09919i −1.41298 0.414887i
\(482\) 15.4848 0.705315
\(483\) 8.47082 9.44697i 0.385436 0.429852i
\(484\) −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
\(490\) −9.56373 + 10.3639i −0.432045 + 0.468191i
\(491\) 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
\(497\) −18.8945 8.98845i −0.847535 0.403187i
\(498\) 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 −0.946415 0.322952i \(-0.895325\pi\)
0.454354 + 0.890821i \(0.349870\pi\)
\(504\) −2.02637 + 1.70113i −0.0902616 + 0.0757742i
\(505\) 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 0.860008 0.510281i \(-0.170459\pi\)
−0.382695 + 0.923875i \(0.625004\pi\)
\(510\) 3.52502 5.48504i 0.156091 0.242882i
\(511\) 16.7947 18.7806i 0.742952 0.830803i
\(512\) 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
\(518\) −18.2815 5.67986i −0.803242 0.249559i
\(519\) −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 0.813329 0.581803i \(-0.197653\pi\)
−0.691630 + 0.722252i \(0.743107\pi\)
\(522\) −2.83796 6.21427i −0.124214 0.271991i
\(523\) 16.3889 10.5325i 0.716637 0.460554i −0.130829 0.991405i \(-0.541764\pi\)
0.847465 + 0.530851i \(0.178127\pi\)
\(524\) −4.29154 0.617031i −0.187477 0.0269551i
\(525\) 0.999066 + 2.28138i 0.0436028 + 0.0995676i
\(526\) 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
\(532\) −2.62956 9.50259i −0.114006 0.411990i
\(533\) −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
\(539\) −0.862457 + 27.5723i −0.0371487 + 1.18762i
\(540\) −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
\(546\) 0.184636 11.8084i 0.00790171 0.505351i
\(547\) −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
\(560\) −5.28712 + 0.675984i −0.223422 + 0.0285655i
\(561\) −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 −0.312571 0.949894i \(-0.601190\pi\)
0.250600 + 0.968091i \(0.419372\pi\)
\(564\) −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
\(567\) 2.62439 0.335541i 0.110214 0.0140914i
\(568\) −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 \(-0.690347\pi\)
0.920435 0.390896i \(-0.127835\pi\)
\(578\) 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
\(581\) −0.282871 + 18.0909i −0.0117355 + 0.750538i
\(582\) 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 0.875547 0.483133i \(-0.160501\pi\)
−0.997758 + 0.0669190i \(0.978683\pi\)
\(588\) 0.218852 6.99658i 0.00902530 0.288534i
\(589\) 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 0.558323 0.829624i \(-0.311445\pi\)
0.301975 + 0.953316i \(0.402354\pi\)
\(594\) −3.31524 2.13057i −0.136026 0.0874185i
\(595\) 4.60066 + 16.6257i 0.188609 + 0.681587i
\(596\) −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 0.910855 0.412726i \(-0.135423\pi\)
−0.278897 + 0.960321i \(0.589969\pi\)
\(602\) −10.6848 24.3989i −0.435480 0.994426i
\(603\) −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 0.301905 0.953338i \(-0.402377\pi\)
0.558262 + 0.829664i \(0.311468\pi\)
\(608\) 1.54809 3.38985i 0.0627835 0.137477i
\(609\) 17.2609 + 5.36277i 0.699447 + 0.217311i
\(610\) 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
\(616\) −6.95023 + 7.77208i −0.280033 + 0.313146i
\(617\) −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 −0.0612691 0.998121i \(-0.519515\pi\)
−0.591168 + 0.806548i \(0.701333\pi\)
\(620\) 0.836548i 0.0335966i
\(621\) −4.35977 1.99810i −0.174952 0.0801810i
\(622\) 1.19736i 0.0480098i
\(623\) −34.4166 + 28.8925i −1.37887 + 1.15756i
\(624\) 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
\(630\) 4.81328 + 2.28976i 0.191765 + 0.0912263i
\(631\) −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
\(637\) 22.9627 + 21.1899i 0.909816 + 0.839575i
\(638\) −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 \(-0.772020\pi\)
−0.754292 + 0.656539i \(0.772020\pi\)
\(644\) −7.04015 + 10.5563i −0.277421 + 0.415978i
\(645\) 20.2820 0.798602
\(646\) −11.5723 3.39792i −0.455305 0.133690i
\(647\) 10.5188 + 9.11456i 0.413535 + 0.358330i 0.836643 0.547749i \(-0.184515\pi\)
−0.423107 + 0.906080i \(0.639061\pi\)
\(648\) 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
\(651\) 1.08486 + 0.173332i 0.0425191 + 0.00679343i
\(652\) 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
\(658\) 8.67710 18.2400i 0.338268 0.711070i
\(659\) 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 −0.0676686 0.997708i \(-0.521556\pi\)
0.879436 + 0.476016i \(0.157920\pi\)
\(662\) −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
\(665\) −15.2134 + 12.7715i −0.589949 + 0.495259i
\(666\) 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
\(672\) 1.76365 1.97219i 0.0680342 0.0760790i
\(673\) −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 \(0.407012\pi\)
−0.912326 + 0.409465i \(0.865715\pi\)
\(678\) −16.3969 + 4.81456i −0.629719 + 0.184902i
\(679\) −12.1541 + 39.1199i −0.466432 + 1.50128i
\(680\) −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
\(686\) 13.4126 + 12.7711i 0.512096 + 0.487604i
\(687\) −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 \(-0.874019\pi\)
0.922696 0.385528i \(-0.125981\pi\)
\(692\) 2.15157 7.32756i 0.0817902 0.278552i
\(693\) 10.0488 2.78071i 0.381723 0.105630i
\(694\) −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
\(700\) −1.31357 2.11598i −0.0496483 0.0799765i
\(701\) −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
\(707\) −38.9671 0.609293i −1.46551 0.0229148i
\(708\) −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 0.483858 0.875147i \(-0.339235\pi\)
−0.997063 + 0.0765835i \(0.975599\pi\)
\(720\) 0.836900 + 1.83256i 0.0311894 + 0.0682953i
\(721\) −47.2569 + 6.04202i −1.75994 + 0.225017i
\(722\) 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 \(0.00429466\pi\)
−0.955605 + 0.294652i \(0.904796\pi\)
\(728\) 1.49775 + 11.7144i 0.0555102 + 0.434166i
\(729\) −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 −0.986660 0.162796i \(-0.947949\pi\)
0.301555 + 0.953449i \(0.402494\pi\)
\(734\) 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
\(742\) 21.0030 + 0.328405i 0.771045 + 0.0120561i
\(743\) −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
\(749\) 6.33485 3.93259i 0.231471 0.143694i
\(750\) 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
\(756\) −2.54992 + 0.705615i −0.0927398 + 0.0256630i
\(757\) 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 \(0.449683\pi\)
−0.666329 + 0.745658i \(0.732135\pi\)
\(762\) 5.06579 + 4.38954i 0.183514 + 0.159016i
\(763\) 10.1610 + 23.2029i 0.367854 + 0.840000i
\(764\) 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 \(0.478868\pi\)
−0.797527 + 0.603283i \(0.793859\pi\)
\(770\) 20.0594 + 6.23224i 0.722891 + 0.224594i
\(771\) −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 \(-0.926992\pi\)
0.870312 0.492500i \(-0.163917\pi\)
\(774\) −7.60846 + 6.59277i