Properties

Label 441.2.z.a.4.6
Level $441$
Weight $2$
Character 441.4
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.z (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 4.6
Character \(\chi\) \(=\) 441.4
Dual form 441.2.z.a.331.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.173112 + 2.31002i) q^{2} +(-0.732646 + 1.56947i) q^{3} +(-3.32857 - 0.501701i) q^{4} +(-0.445172 + 1.95043i) q^{5} +(-3.49867 - 1.96412i) q^{6} +(0.693731 - 2.55318i) q^{7} +(0.704215 - 3.08537i) q^{8} +(-1.92646 - 2.29973i) q^{9} +O(q^{10})\) \(q+(-0.173112 + 2.31002i) q^{2} +(-0.732646 + 1.56947i) q^{3} +(-3.32857 - 0.501701i) q^{4} +(-0.445172 + 1.95043i) q^{5} +(-3.49867 - 1.96412i) q^{6} +(0.693731 - 2.55318i) q^{7} +(0.704215 - 3.08537i) q^{8} +(-1.92646 - 2.29973i) q^{9} +(-4.42846 - 1.36600i) q^{10} +(-2.98953 + 1.43968i) q^{11} +(3.22607 - 4.85651i) q^{12} +(0.277238 - 3.69948i) q^{13} +(5.77781 + 2.04452i) q^{14} +(-2.73498 - 2.12766i) q^{15} +(0.572130 + 0.176479i) q^{16} +(-5.17133 + 0.779453i) q^{17} +(5.64592 - 4.05205i) q^{18} +(0.930856 + 1.61229i) q^{19} +(2.46032 - 6.26878i) q^{20} +(3.49888 + 2.95937i) q^{21} +(-2.80817 - 7.15510i) q^{22} +(-1.48381 + 1.86064i) q^{23} +(4.32645 + 3.36573i) q^{24} +(0.898854 + 0.432865i) q^{25} +(8.49788 + 1.28085i) q^{26} +(5.02077 - 1.33863i) q^{27} +(-3.59006 + 8.15039i) q^{28} +(-1.83795 + 4.68303i) q^{29} +(5.38839 - 5.94954i) q^{30} +(0.858768 + 1.48743i) q^{31} +(1.80569 - 4.60082i) q^{32} +(-0.0692655 - 5.74674i) q^{33} +(-0.905332 - 12.0808i) q^{34} +(4.67097 + 2.48968i) q^{35} +(5.25857 + 8.62131i) q^{36} +(-3.33948 + 8.50886i) q^{37} +(-3.88557 + 1.87119i) q^{38} +(5.60310 + 3.14553i) q^{39} +(5.70429 + 2.74704i) q^{40} +(-0.0655173 - 0.0607912i) q^{41} +(-7.44190 + 7.57018i) q^{42} +(-3.16138 + 2.93333i) q^{43} +(10.6731 - 3.29222i) q^{44} +(5.34306 - 2.73364i) q^{45} +(-4.04124 - 3.74972i) q^{46} +(0.723770 - 9.65804i) q^{47} +(-0.696147 + 0.768644i) q^{48} +(-6.03748 - 3.54244i) q^{49} +(-1.15553 + 2.00144i) q^{50} +(2.56543 - 8.68730i) q^{51} +(-2.77884 + 12.1749i) q^{52} +(0.956134 + 2.43619i) q^{53} +(2.22310 + 11.8298i) q^{54} +(-1.47714 - 6.47176i) q^{55} +(-7.38897 - 3.93841i) q^{56} +(-3.21243 + 0.279710i) q^{57} +(-10.4997 - 5.05640i) q^{58} +(-9.73511 + 9.03286i) q^{59} +(8.03611 + 8.45419i) q^{60} +(-6.63292 + 0.999752i) q^{61} +(-3.58466 + 1.72628i) q^{62} +(-7.20807 + 3.32320i) q^{63} +(11.3943 + 5.48719i) q^{64} +(7.09215 + 2.18764i) q^{65} +(13.2871 + 0.834826i) q^{66} +(3.55422 + 6.15609i) q^{67} +17.6042 q^{68} +(-1.83310 - 3.69197i) q^{69} +(-6.55981 + 10.3590i) q^{70} +(6.33459 - 7.94333i) q^{71} +(-8.45216 + 4.32433i) q^{72} +(-6.80720 + 4.64107i) q^{73} +(-19.0775 - 9.18726i) q^{74} +(-1.33791 + 1.09359i) q^{75} +(-2.28953 - 5.83363i) q^{76} +(1.60184 + 8.63156i) q^{77} +(-8.23619 + 12.3987i) q^{78} +(5.12591 - 8.87834i) q^{79} +(-0.598906 + 1.03734i) q^{80} +(-1.57752 + 8.86067i) q^{81} +(0.151771 - 0.140823i) q^{82} +(-0.118838 - 1.58578i) q^{83} +(-10.1615 - 11.6058i) q^{84} +(0.781867 - 10.4333i) q^{85} +(-6.22878 - 7.81064i) q^{86} +(-6.00329 - 6.31561i) q^{87} +(2.33668 + 10.2376i) q^{88} +(-1.11803 - 14.9191i) q^{89} +(5.38982 + 12.8158i) q^{90} +(-9.25312 - 3.27428i) q^{91} +(5.87243 - 5.44882i) q^{92} +(-2.96365 + 0.258049i) q^{93} +(22.1850 + 3.34385i) q^{94} +(-3.55905 + 1.09782i) q^{95} +(5.89791 + 6.20474i) q^{96} +(-0.0150907 - 0.0261379i) q^{97} +(9.22827 - 13.3335i) q^{98} +(9.07008 + 4.10162i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} + O(q^{10}) \) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} - 22 q^{10} - 5 q^{11} + 2 q^{12} - 4 q^{13} + 52 q^{14} - 4 q^{15} + 38 q^{16} - 37 q^{17} - 16 q^{18} - 14 q^{19} - 11 q^{20} - 6 q^{21} - q^{22} - 20 q^{23} - 26 q^{24} - 97 q^{25} - 44 q^{26} + 14 q^{27} - 22 q^{28} - 53 q^{29} - 9 q^{30} + 10 q^{31} - 10 q^{32} + 2 q^{33} - 7 q^{34} - 32 q^{35} - 22 q^{36} - 39 q^{37} + 59 q^{38} - 26 q^{39} - 19 q^{40} - 17 q^{41} - 83 q^{42} - q^{43} - 31 q^{44} + 81 q^{45} + 56 q^{46} + 50 q^{47} - 23 q^{48} - 19 q^{49} - 21 q^{50} - 30 q^{51} - 9 q^{52} + 50 q^{53} + 48 q^{54} + 20 q^{55} - 239 q^{56} + 33 q^{57} + 17 q^{58} - 37 q^{59} - 152 q^{60} - 105 q^{61} - 30 q^{62} + 6 q^{63} - 88 q^{64} - 5 q^{65} - 99 q^{66} + 13 q^{67} - 290 q^{68} + 64 q^{69} + 17 q^{70} - 19 q^{71} + 11 q^{72} - 40 q^{73} - 57 q^{74} + 69 q^{75} - 41 q^{76} + 19 q^{77} + 81 q^{78} + 13 q^{79} + 163 q^{80} - 179 q^{81} - 28 q^{82} + 73 q^{83} - 341 q^{84} - 10 q^{85} + 15 q^{86} + 13 q^{87} - 13 q^{88} - 104 q^{89} + 171 q^{90} - 49 q^{91} - 91 q^{92} - 275 q^{93} - 4 q^{94} - 29 q^{95} + 231 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{5}{21}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.173112 + 2.31002i −0.122409 + 1.63343i 0.510976 + 0.859595i \(0.329284\pi\)
−0.633385 + 0.773837i \(0.718335\pi\)
\(3\) −0.732646 + 1.56947i −0.422994 + 0.906133i
\(4\) −3.32857 0.501701i −1.66428 0.250850i
\(5\) −0.445172 + 1.95043i −0.199087 + 0.872258i 0.772395 + 0.635143i \(0.219059\pi\)
−0.971482 + 0.237115i \(0.923798\pi\)
\(6\) −3.49867 1.96412i −1.42833 0.801850i
\(7\) 0.693731 2.55318i 0.262206 0.965012i
\(8\) 0.704215 3.08537i 0.248978 1.09084i
\(9\) −1.92646 2.29973i −0.642153 0.766577i
\(10\) −4.42846 1.36600i −1.40040 0.431967i
\(11\) −2.98953 + 1.43968i −0.901377 + 0.434080i −0.826386 0.563104i \(-0.809607\pi\)
−0.0749906 + 0.997184i \(0.523893\pi\)
\(12\) 3.22607 4.85651i 0.931285 1.40195i
\(13\) 0.277238 3.69948i 0.0768919 1.02605i −0.816668 0.577107i \(-0.804181\pi\)
0.893560 0.448944i \(-0.148200\pi\)
\(14\) 5.77781 + 2.04452i 1.54418 + 0.546421i
\(15\) −2.73498 2.12766i −0.706169 0.549359i
\(16\) 0.572130 + 0.176479i 0.143033 + 0.0441197i
\(17\) −5.17133 + 0.779453i −1.25423 + 0.189045i −0.742351 0.670011i \(-0.766289\pi\)
−0.511881 + 0.859056i \(0.671051\pi\)
\(18\) 5.64592 4.05205i 1.33076 0.955077i
\(19\) 0.930856 + 1.61229i 0.213553 + 0.369885i 0.952824 0.303523i \(-0.0981630\pi\)
−0.739271 + 0.673408i \(0.764830\pi\)
\(20\) 2.46032 6.26878i 0.550144 1.40174i
\(21\) 3.49888 + 2.95937i 0.763518 + 0.645787i
\(22\) −2.80817 7.15510i −0.598704 1.52547i
\(23\) −1.48381 + 1.86064i −0.309395 + 0.387969i −0.912082 0.410009i \(-0.865526\pi\)
0.602686 + 0.797978i \(0.294097\pi\)
\(24\) 4.32645 + 3.36573i 0.883132 + 0.687026i
\(25\) 0.898854 + 0.432865i 0.179771 + 0.0865731i
\(26\) 8.49788 + 1.28085i 1.66657 + 0.251195i
\(27\) 5.02077 1.33863i 0.966247 0.257619i
\(28\) −3.59006 + 8.15039i −0.678458 + 1.54028i
\(29\) −1.83795 + 4.68303i −0.341299 + 0.869617i 0.652434 + 0.757845i \(0.273748\pi\)
−0.993734 + 0.111772i \(0.964347\pi\)
\(30\) 5.38839 5.94954i 0.983781 1.08623i
\(31\) 0.858768 + 1.48743i 0.154239 + 0.267150i 0.932782 0.360442i \(-0.117374\pi\)
−0.778542 + 0.627592i \(0.784041\pi\)
\(32\) 1.80569 4.60082i 0.319204 0.813318i
\(33\) −0.0692655 5.74674i −0.0120576 1.00038i
\(34\) −0.905332 12.0808i −0.155263 2.07184i
\(35\) 4.67097 + 2.48968i 0.789538 + 0.420832i
\(36\) 5.25857 + 8.62131i 0.876428 + 1.43688i
\(37\) −3.33948 + 8.50886i −0.549008 + 1.39885i 0.339770 + 0.940509i \(0.389651\pi\)
−0.888777 + 0.458340i \(0.848444\pi\)
\(38\) −3.88557 + 1.87119i −0.630322 + 0.303547i
\(39\) 5.60310 + 3.14553i 0.897214 + 0.503687i
\(40\) 5.70429 + 2.74704i 0.901928 + 0.434346i
\(41\) −0.0655173 0.0607912i −0.0102321 0.00949399i 0.675040 0.737781i \(-0.264126\pi\)
−0.685272 + 0.728287i \(0.740317\pi\)
\(42\) −7.44190 + 7.57018i −1.14831 + 1.16810i
\(43\) −3.16138 + 2.93333i −0.482105 + 0.447328i −0.883399 0.468621i \(-0.844751\pi\)
0.401294 + 0.915949i \(0.368561\pi\)
\(44\) 10.6731 3.29222i 1.60903 0.496322i
\(45\) 5.34306 2.73364i 0.796497 0.407507i
\(46\) −4.04124 3.74972i −0.595848 0.552867i
\(47\) 0.723770 9.65804i 0.105573 1.40877i −0.653087 0.757283i \(-0.726527\pi\)
0.758660 0.651487i \(-0.225854\pi\)
\(48\) −0.696147 + 0.768644i −0.100480 + 0.110944i
\(49\) −6.03748 3.54244i −0.862496 0.506063i
\(50\) −1.15553 + 2.00144i −0.163417 + 0.283046i
\(51\) 2.56543 8.68730i 0.359232 1.21647i
\(52\) −2.77884 + 12.1749i −0.385355 + 1.68835i
\(53\) 0.956134 + 2.43619i 0.131335 + 0.334636i 0.981381 0.192073i \(-0.0615209\pi\)
−0.850046 + 0.526709i \(0.823426\pi\)
\(54\) 2.22310 + 11.8298i 0.302525 + 1.60983i
\(55\) −1.47714 6.47176i −0.199177 0.872653i
\(56\) −7.38897 3.93841i −0.987393 0.526292i
\(57\) −3.21243 + 0.279710i −0.425496 + 0.0370485i
\(58\) −10.4997 5.05640i −1.37868 0.663938i
\(59\) −9.73511 + 9.03286i −1.26740 + 1.17598i −0.291790 + 0.956482i \(0.594251\pi\)
−0.975613 + 0.219496i \(0.929559\pi\)
\(60\) 8.03611 + 8.45419i 1.03746 + 1.09143i
\(61\) −6.63292 + 0.999752i −0.849259 + 0.128005i −0.559230 0.829013i \(-0.688903\pi\)
−0.290029 + 0.957018i \(0.593665\pi\)
\(62\) −3.58466 + 1.72628i −0.455252 + 0.219238i
\(63\) −7.20807 + 3.32320i −0.908132 + 0.418684i
\(64\) 11.3943 + 5.48719i 1.42428 + 0.685899i
\(65\) 7.09215 + 2.18764i 0.879673 + 0.271343i
\(66\) 13.2871 + 0.834826i 1.63553 + 0.102760i
\(67\) 3.55422 + 6.15609i 0.434217 + 0.752085i 0.997231 0.0743615i \(-0.0236919\pi\)
−0.563015 + 0.826447i \(0.690359\pi\)
\(68\) 17.6042 2.13482
\(69\) −1.83310 3.69197i −0.220679 0.444462i
\(70\) −6.55981 + 10.3590i −0.784047 + 1.23814i
\(71\) 6.33459 7.94333i 0.751778 0.942700i −0.247882 0.968790i \(-0.579734\pi\)
0.999660 + 0.0260905i \(0.00830582\pi\)
\(72\) −8.45216 + 4.32433i −0.996096 + 0.509627i
\(73\) −6.80720 + 4.64107i −0.796722 + 0.543196i −0.891883 0.452266i \(-0.850616\pi\)
0.0951611 + 0.995462i \(0.469663\pi\)
\(74\) −19.0775 9.18726i −2.21772 1.06800i
\(75\) −1.33791 + 1.09359i −0.154489 + 0.126276i
\(76\) −2.28953 5.83363i −0.262627 0.669163i
\(77\) 1.60184 + 8.63156i 0.182547 + 0.983657i
\(78\) −8.23619 + 12.3987i −0.932565 + 1.40388i
\(79\) 5.12591 8.87834i 0.576710 0.998891i −0.419143 0.907920i \(-0.637670\pi\)
0.995854 0.0909712i \(-0.0289971\pi\)
\(80\) −0.598906 + 1.03734i −0.0669597 + 0.115978i
\(81\) −1.57752 + 8.86067i −0.175280 + 0.984519i
\(82\) 0.151771 0.140823i 0.0167603 0.0155513i
\(83\) −0.118838 1.58578i −0.0130442 0.174062i −0.999921 0.0125862i \(-0.995994\pi\)
0.986877 0.161476i \(-0.0516255\pi\)
\(84\) −10.1615 11.6058i −1.10871 1.26630i
\(85\) 0.781867 10.4333i 0.0848054 1.13165i
\(86\) −6.22878 7.81064i −0.671666 0.842243i
\(87\) −6.00329 6.31561i −0.643621 0.677105i
\(88\) 2.33668 + 10.2376i 0.249090 + 1.09134i
\(89\) −1.11803 14.9191i −0.118511 1.58142i −0.666868 0.745176i \(-0.732365\pi\)
0.548357 0.836244i \(-0.315254\pi\)
\(90\) 5.38982 + 12.8158i 0.568137 + 1.35091i
\(91\) −9.25312 3.27428i −0.969990 0.343238i
\(92\) 5.87243 5.44882i 0.612243 0.568079i
\(93\) −2.96365 + 0.258049i −0.307316 + 0.0267584i
\(94\) 22.1850 + 3.34385i 2.28820 + 0.344891i
\(95\) −3.55905 + 1.09782i −0.365151 + 0.112634i
\(96\) 5.89791 + 6.20474i 0.601952 + 0.633269i
\(97\) −0.0150907 0.0261379i −0.00153223 0.00265390i 0.865258 0.501326i \(-0.167154\pi\)
−0.866791 + 0.498672i \(0.833821\pi\)
\(98\) 9.22827 13.3335i 0.932196 1.34688i
\(99\) 9.07008 + 4.10162i 0.911577 + 0.412229i
\(100\) −2.77473 1.89178i −0.277473 0.189178i
\(101\) 3.18667 13.9617i 0.317086 1.38924i −0.525551 0.850762i \(-0.676141\pi\)
0.842637 0.538482i \(-0.181002\pi\)
\(102\) 19.6237 + 7.43008i 1.94304 + 0.735687i
\(103\) −2.83866 + 12.4370i −0.279702 + 1.22545i 0.618470 + 0.785809i \(0.287753\pi\)
−0.898171 + 0.439645i \(0.855104\pi\)
\(104\) −11.2190 3.46061i −1.10012 0.339341i
\(105\) −7.32964 + 5.50688i −0.715299 + 0.537416i
\(106\) −5.79317 + 1.78696i −0.562682 + 0.173564i
\(107\) 0.842287 + 11.2395i 0.0814270 + 1.08657i 0.876930 + 0.480618i \(0.159588\pi\)
−0.795503 + 0.605949i \(0.792793\pi\)
\(108\) −17.3835 + 1.93678i −1.67273 + 0.186367i
\(109\) −0.833354 + 11.1203i −0.0798209 + 1.06514i 0.803171 + 0.595748i \(0.203144\pi\)
−0.882992 + 0.469388i \(0.844475\pi\)
\(110\) 15.2056 2.29188i 1.44980 0.218522i
\(111\) −10.9077 11.4752i −1.03532 1.08918i
\(112\) 0.847487 1.33832i 0.0800800 0.126460i
\(113\) −5.53114 + 3.77107i −0.520326 + 0.354752i −0.794828 0.606834i \(-0.792439\pi\)
0.274503 + 0.961586i \(0.411487\pi\)
\(114\) −0.0900262 7.46919i −0.00843173 0.699554i
\(115\) −2.96848 3.72236i −0.276813 0.347112i
\(116\) 8.46723 14.6657i 0.786163 1.36167i
\(117\) −9.04189 + 6.48932i −0.835923 + 0.599938i
\(118\) −19.1808 24.0520i −1.76574 2.21417i
\(119\) −1.59743 + 13.7441i −0.146436 + 1.25992i
\(120\) −8.49063 + 6.94009i −0.775084 + 0.633541i
\(121\) 0.00620845 0.00778515i 0.000564405 0.000707741i
\(122\) −1.16121 15.4953i −0.105131 1.40287i
\(123\) 0.143411 0.0582889i 0.0129309 0.00525573i
\(124\) −2.11222 5.38185i −0.189683 0.483305i
\(125\) −7.48114 + 9.38106i −0.669134 + 0.839067i
\(126\) −6.42887 17.2261i −0.572729 1.53462i
\(127\) 5.08618 + 6.37787i 0.451326 + 0.565944i 0.954489 0.298247i \(-0.0964019\pi\)
−0.503163 + 0.864191i \(0.667831\pi\)
\(128\) −9.70554 + 16.8105i −0.857857 + 1.48585i
\(129\) −2.28759 7.11077i −0.201411 0.626068i
\(130\) −6.28123 + 16.0043i −0.550900 + 1.40367i
\(131\) −3.40304 14.9097i −0.297325 1.30267i −0.874094 0.485758i \(-0.838544\pi\)
0.576769 0.816907i \(-0.304313\pi\)
\(132\) −2.65259 + 19.1632i −0.230878 + 1.66794i
\(133\) 4.76223 1.25815i 0.412938 0.109095i
\(134\) −14.8360 + 7.14462i −1.28163 + 0.617201i
\(135\) 0.375785 + 10.3886i 0.0323425 + 0.894105i
\(136\) −1.23683 + 16.5044i −0.106057 + 1.41524i
\(137\) 2.79885 + 12.2626i 0.239122 + 1.04766i 0.941805 + 0.336160i \(0.109128\pi\)
−0.702683 + 0.711503i \(0.748015\pi\)
\(138\) 8.84587 3.59538i 0.753011 0.306059i
\(139\) −1.86921 1.73437i −0.158544 0.147107i 0.596912 0.802307i \(-0.296394\pi\)
−0.755456 + 0.655199i \(0.772585\pi\)
\(140\) −14.2986 10.6305i −1.20845 0.898440i
\(141\) 14.6277 + 8.21186i 1.23188 + 0.691563i
\(142\) 17.2527 + 16.0081i 1.44781 + 1.34337i
\(143\) 4.49726 + 11.4588i 0.376080 + 0.958236i
\(144\) −0.696332 1.65572i −0.0580276 0.137977i
\(145\) −8.31570 5.66955i −0.690582 0.470831i
\(146\) −9.54255 16.5282i −0.789747 1.36788i
\(147\) 9.98308 6.88027i 0.823391 0.567475i
\(148\) 15.3846 26.6469i 1.26461 2.19036i
\(149\) −21.5026 + 10.3551i −1.76156 + 0.848322i −0.789443 + 0.613824i \(0.789630\pi\)
−0.972117 + 0.234498i \(0.924655\pi\)
\(150\) −2.29460 3.27991i −0.187353 0.267804i
\(151\) 12.8328 16.0918i 1.04432 1.30953i 0.0949074 0.995486i \(-0.469745\pi\)
0.949408 0.314044i \(-0.101684\pi\)
\(152\) 5.63004 1.73664i 0.456656 0.140860i
\(153\) 11.7549 + 10.3911i 0.950326 + 0.840069i
\(154\) −20.2164 + 2.20605i −1.62908 + 0.177769i
\(155\) −3.28343 + 1.01280i −0.263731 + 0.0813503i
\(156\) −17.0722 13.2812i −1.36687 1.06334i
\(157\) 9.55671 8.86733i 0.762709 0.707690i −0.199532 0.979891i \(-0.563942\pi\)
0.962240 + 0.272201i \(0.0877517\pi\)
\(158\) 19.6218 + 13.3779i 1.56103 + 1.06429i
\(159\) −4.52403 0.284244i −0.358779 0.0225420i
\(160\) 8.16972 + 5.57002i 0.645873 + 0.440349i
\(161\) 3.72118 + 5.07921i 0.293270 + 0.400298i
\(162\) −20.1952 5.17799i −1.58669 0.406821i
\(163\) −8.47226 + 7.86111i −0.663599 + 0.615730i −0.938309 0.345797i \(-0.887608\pi\)
0.274711 + 0.961527i \(0.411418\pi\)
\(164\) 0.187580 + 0.235218i 0.0146475 + 0.0183674i
\(165\) 11.2394 + 2.42319i 0.874990 + 0.188645i
\(166\) 3.68376 0.285916
\(167\) 5.50603 0.829900i 0.426069 0.0642196i 0.0674923 0.997720i \(-0.478500\pi\)
0.358577 + 0.933500i \(0.383262\pi\)
\(168\) 11.5947 8.71130i 0.894551 0.672091i
\(169\) −0.754487 0.113721i −0.0580374 0.00874774i
\(170\) 23.9658 + 3.61226i 1.83809 + 0.277048i
\(171\) 1.91458 5.24673i 0.146411 0.401227i
\(172\) 11.9945 8.17771i 0.914572 0.623545i
\(173\) 7.73873 + 19.7180i 0.588365 + 1.49913i 0.846160 + 0.532929i \(0.178909\pi\)
−0.257795 + 0.966200i \(0.582996\pi\)
\(174\) 15.6284 12.7744i 1.18479 0.968427i
\(175\) 1.72875 1.99465i 0.130681 0.150781i
\(176\) −1.96447 + 0.296097i −0.148078 + 0.0223191i
\(177\) −7.04439 21.8968i −0.529489 1.64587i
\(178\) 34.6570 2.59765
\(179\) 13.2303 1.99414i 0.988878 0.149049i 0.365367 0.930864i \(-0.380944\pi\)
0.623511 + 0.781814i \(0.285706\pi\)
\(180\) −19.1562 + 6.41849i −1.42782 + 0.478406i
\(181\) 14.0078 + 6.74580i 1.04119 + 0.501411i 0.874717 0.484635i \(-0.161047\pi\)
0.166474 + 0.986046i \(0.446762\pi\)
\(182\) 9.16548 20.8081i 0.679391 1.54240i
\(183\) 3.29051 11.1426i 0.243241 0.823686i
\(184\) 4.69583 + 5.88838i 0.346181 + 0.434097i
\(185\) −15.1093 10.3013i −1.11086 0.757369i
\(186\) −0.0830543 6.89076i −0.00608984 0.505255i
\(187\) 14.3377 9.77526i 1.04847 0.714838i
\(188\) −7.25456 + 31.7843i −0.529093 + 2.31811i
\(189\) 0.0653058 13.7476i 0.00475030 0.999989i
\(190\) −1.91987 8.41152i −0.139282 0.610236i
\(191\) 10.2949 + 9.55228i 0.744913 + 0.691179i 0.958292 0.285791i \(-0.0922563\pi\)
−0.213379 + 0.976970i \(0.568447\pi\)
\(192\) −16.9599 + 13.8628i −1.22398 + 1.00046i
\(193\) −25.2455 + 7.78722i −1.81721 + 0.560536i −0.999878 0.0156243i \(-0.995026\pi\)
−0.817336 + 0.576161i \(0.804550\pi\)
\(194\) 0.0629914 0.0303351i 0.00452252 0.00217793i
\(195\) −8.62947 + 9.52813i −0.617969 + 0.682324i
\(196\) 18.3189 + 14.8203i 1.30849 + 1.05859i
\(197\) 0.662920 0.0472311 0.0236155 0.999721i \(-0.492482\pi\)
0.0236155 + 0.999721i \(0.492482\pi\)
\(198\) −11.0450 + 20.2420i −0.784932 + 1.43854i
\(199\) 12.1281 + 11.2532i 0.859737 + 0.797719i 0.980819 0.194923i \(-0.0624458\pi\)
−0.121081 + 0.992643i \(0.538636\pi\)
\(200\) 1.96854 2.46847i 0.139197 0.174547i
\(201\) −12.2658 + 1.06800i −0.865160 + 0.0753306i
\(202\) 31.7002 + 9.77823i 2.23042 + 0.687994i
\(203\) 10.6816 + 7.94139i 0.749700 + 0.557376i
\(204\) −12.8976 + 27.6292i −0.903015 + 1.93443i
\(205\) 0.147735 0.100724i 0.0103183 0.00703489i
\(206\) −28.2383 8.71037i −1.96746 0.606880i
\(207\) 7.13745 0.172080i 0.496087 0.0119604i
\(208\) 0.811496 2.06766i 0.0562671 0.143366i
\(209\) −5.10401 3.47985i −0.353051 0.240706i
\(210\) −11.4522 17.8849i −0.790274 1.23418i
\(211\) 11.8111 8.05268i 0.813110 0.554369i −0.0838510 0.996478i \(-0.526722\pi\)
0.896961 + 0.442109i \(0.145770\pi\)
\(212\) −1.96032 8.58871i −0.134635 0.589875i
\(213\) 7.82578 + 15.7616i 0.536214 + 1.07997i
\(214\) −26.1094 −1.78480
\(215\) −4.31389 7.47187i −0.294205 0.509577i
\(216\) −0.594453 16.4336i −0.0404474 1.11816i
\(217\) 4.39343 1.16072i 0.298246 0.0787945i
\(218\) −25.5440 3.85013i −1.73005 0.260764i
\(219\) −2.29674 14.0839i −0.155199 0.951704i
\(220\) 1.66986 + 22.2828i 0.112582 + 1.50230i
\(221\) 1.44988 + 19.3473i 0.0975296 + 1.30144i
\(222\) 28.3962 23.2106i 1.90583 1.55779i
\(223\) 6.96595 + 1.04995i 0.466475 + 0.0703097i 0.378074 0.925775i \(-0.376586\pi\)
0.0884004 + 0.996085i \(0.471825\pi\)
\(224\) −10.4941 7.80198i −0.701164 0.521292i
\(225\) −0.736132 2.90102i −0.0490755 0.193401i
\(226\) −7.75374 13.4299i −0.515771 0.893341i
\(227\) 6.44525 0.427786 0.213893 0.976857i \(-0.431386\pi\)
0.213893 + 0.976857i \(0.431386\pi\)
\(228\) 10.8331 + 0.680643i 0.717440 + 0.0450767i
\(229\) 0.338473 + 1.48295i 0.0223669 + 0.0979958i 0.984879 0.173242i \(-0.0554242\pi\)
−0.962512 + 0.271238i \(0.912567\pi\)
\(230\) 9.11261 6.21287i 0.600868 0.409665i
\(231\) −14.7205 3.80985i −0.968540 0.250669i
\(232\) 13.1546 + 8.96863i 0.863639 + 0.588819i
\(233\) −7.58340 + 19.3222i −0.496805 + 1.26584i 0.434194 + 0.900819i \(0.357033\pi\)
−0.931000 + 0.365020i \(0.881062\pi\)
\(234\) −13.4252 22.0103i −0.877633 1.43886i
\(235\) 18.5151 + 5.71115i 1.20779 + 0.372554i
\(236\) 36.9358 25.1824i 2.40431 1.63923i
\(237\) 10.1788 + 14.5496i 0.661183 + 0.945100i
\(238\) −31.4726 6.06935i −2.04006 0.393418i
\(239\) 5.30112 + 1.63518i 0.342901 + 0.105771i 0.461422 0.887181i \(-0.347339\pi\)
−0.118521 + 0.992951i \(0.537815\pi\)
\(240\) −1.18928 1.69996i −0.0767676 0.109732i
\(241\) −1.36915 + 1.71686i −0.0881947 + 0.110593i −0.823971 0.566632i \(-0.808246\pi\)
0.735776 + 0.677225i \(0.236818\pi\)
\(242\) 0.0169091 + 0.0156894i 0.00108696 + 0.00100855i
\(243\) −12.7508 8.96760i −0.817962 0.575272i
\(244\) 22.5797 1.44552
\(245\) 9.59699 10.1987i 0.613129 0.651569i
\(246\) 0.109822 + 0.341373i 0.00700202 + 0.0217651i
\(247\) 6.22270 2.99670i 0.395941 0.190675i
\(248\) 5.19403 1.60215i 0.329821 0.101736i
\(249\) 2.57590 + 0.975306i 0.163241 + 0.0618075i
\(250\) −20.3754 18.9056i −1.28865 1.19569i
\(251\) −0.870105 3.81218i −0.0549205 0.240622i 0.940016 0.341131i \(-0.110810\pi\)
−0.994936 + 0.100509i \(0.967953\pi\)
\(252\) 25.6598 7.44521i 1.61642 0.469004i
\(253\) 1.75716 7.69863i 0.110472 0.484009i
\(254\) −15.6135 + 10.6451i −0.979678 + 0.667933i
\(255\) 15.8019 + 8.87103i 0.989553 + 0.555526i
\(256\) −16.2541 11.0818i −1.01588 0.692615i
\(257\) −15.1695 19.0220i −0.946249 1.18656i −0.982320 0.187209i \(-0.940056\pi\)
0.0360711 0.999349i \(-0.488516\pi\)
\(258\) 16.8220 4.05343i 1.04729 0.252355i
\(259\) 19.4080 + 14.4292i 1.20595 + 0.896585i
\(260\) −22.5091 10.8398i −1.39596 0.672258i
\(261\) 14.3104 4.79486i 0.885794 0.296795i
\(262\) 35.0308 5.28004i 2.16421 0.326202i
\(263\) −2.39214 −0.147506 −0.0737529 0.997277i \(-0.523498\pi\)
−0.0737529 + 0.997277i \(0.523498\pi\)
\(264\) −17.7796 3.83324i −1.09426 0.235919i
\(265\) −5.17726 + 0.780346i −0.318036 + 0.0479363i
\(266\) 2.08195 + 11.2187i 0.127653 + 0.687860i
\(267\) 24.2342 + 9.17570i 1.48311 + 0.561544i
\(268\) −8.74194 22.2741i −0.533999 1.36061i
\(269\) 2.12249 1.44709i 0.129410 0.0882305i −0.496885 0.867817i \(-0.665523\pi\)
0.626295 + 0.779586i \(0.284570\pi\)
\(270\) −24.0628 0.930313i −1.46442 0.0566171i
\(271\) −10.7566 1.62130i −0.653420 0.0984872i −0.186038 0.982543i \(-0.559565\pi\)
−0.467382 + 0.884055i \(0.654803\pi\)
\(272\) −3.09623 0.466682i −0.187737 0.0282967i
\(273\) 11.9181 12.1236i 0.721319 0.733752i
\(274\) −28.8113 + 4.34261i −1.74056 + 0.262347i
\(275\) −3.31034 −0.199621
\(276\) 4.24933 + 13.2087i 0.255780 + 0.795067i
\(277\) −13.9598 17.5051i −0.838765 1.05178i −0.997916 0.0645235i \(-0.979447\pi\)
0.159152 0.987254i \(-0.449124\pi\)
\(278\) 4.33001 4.01766i 0.259697 0.240963i
\(279\) 1.76631 4.84041i 0.105746 0.289788i
\(280\) 10.9709 12.6584i 0.655639 0.756483i
\(281\) 5.61673 + 3.82942i 0.335066 + 0.228444i 0.719151 0.694853i \(-0.244531\pi\)
−0.384085 + 0.923298i \(0.625483\pi\)
\(282\) −21.5018 + 32.3687i −1.28041 + 1.92753i
\(283\) −2.77009 1.88861i −0.164665 0.112266i 0.478184 0.878260i \(-0.341295\pi\)
−0.642849 + 0.765993i \(0.722248\pi\)
\(284\) −25.0703 + 23.2618i −1.48765 + 1.38034i
\(285\) 0.884529 6.39013i 0.0523950 0.378518i
\(286\) −27.2487 + 8.40510i −1.61125 + 0.497004i
\(287\) −0.200662 + 0.125105i −0.0118447 + 0.00738471i
\(288\) −14.0592 + 4.71069i −0.828448 + 0.277580i
\(289\) 9.89037 3.05077i 0.581786 0.179457i
\(290\) 14.5363 18.2280i 0.853603 1.07038i
\(291\) 0.0520787 0.00453456i 0.00305291 0.000265821i
\(292\) 24.9866 12.0329i 1.46223 0.704174i
\(293\) 7.49552 12.9826i 0.437893 0.758453i −0.559634 0.828740i \(-0.689058\pi\)
0.997527 + 0.0702870i \(0.0223915\pi\)
\(294\) 14.1654 + 24.2522i 0.826141 + 1.41442i
\(295\) −13.2841 23.0088i −0.773433 1.33962i
\(296\) 23.9013 + 16.2956i 1.38923 + 0.947163i
\(297\) −13.0825 + 11.2302i −0.759125 + 0.651640i
\(298\) −20.1981 51.4640i −1.17005 2.98123i
\(299\) 6.47201 + 6.00515i 0.374286 + 0.347287i
\(300\) 5.00198 2.96884i 0.288789 0.171406i
\(301\) 5.29618 + 10.1065i 0.305266 + 0.582529i
\(302\) 34.9508 + 32.4296i 2.01119 + 1.86612i
\(303\) 19.5778 + 15.2304i 1.12471 + 0.874963i
\(304\) 0.248036 + 1.08672i 0.0142258 + 0.0623275i
\(305\) 1.00285 13.3821i 0.0574230 0.766257i
\(306\) −26.0385 + 25.3552i −1.48852 + 1.44946i
\(307\) 20.5909 9.91607i 1.17519 0.565940i 0.258681 0.965963i \(-0.416712\pi\)
0.916505 + 0.400023i \(0.130998\pi\)
\(308\) −1.00137 29.5344i −0.0570583 1.68288i
\(309\) −17.4397 13.5671i −0.992112 0.771806i
\(310\) −1.77119 7.76011i −0.100597 0.440745i
\(311\) −7.63380 + 19.4506i −0.432873 + 1.10294i 0.533500 + 0.845800i \(0.320876\pi\)
−0.966373 + 0.257143i \(0.917219\pi\)
\(312\) 13.6509 15.0725i 0.772830 0.853312i
\(313\) −16.7538 + 29.0184i −0.946979 + 1.64022i −0.195240 + 0.980756i \(0.562549\pi\)
−0.751739 + 0.659460i \(0.770785\pi\)
\(314\) 18.8293 + 23.6112i 1.06260 + 1.33246i
\(315\) −3.27284 15.5382i −0.184403 0.875480i
\(316\) −21.5162 + 26.9805i −1.21038 + 1.51777i
\(317\) 2.18453 + 5.56608i 0.122695 + 0.312622i 0.979004 0.203842i \(-0.0653430\pi\)
−0.856309 + 0.516465i \(0.827248\pi\)
\(318\) 1.43977 10.4014i 0.0807385 0.583281i
\(319\) −1.24745 16.6461i −0.0698440 0.932003i
\(320\) −15.7748 + 19.7810i −0.881838 + 1.10579i
\(321\) −18.2572 6.91267i −1.01902 0.385827i
\(322\) −12.3773 + 7.71672i −0.689758 + 0.430036i
\(323\) −6.07047 7.61213i −0.337770 0.423550i
\(324\) 9.69627 28.7019i 0.538682 1.59455i
\(325\) 1.85057 3.20529i 0.102651 0.177797i
\(326\) −16.6927 20.9319i −0.924522 1.15931i
\(327\) −16.8425 9.45520i −0.931390 0.522874i
\(328\) −0.233702 + 0.159335i −0.0129040 + 0.00879781i
\(329\) −24.1566 8.54799i −1.33180 0.471266i
\(330\) −7.54331 + 25.5439i −0.415246 + 1.40614i
\(331\) 16.9934 2.56134i 0.934041 0.140784i 0.335649 0.941987i \(-0.391045\pi\)
0.598392 + 0.801203i \(0.295806\pi\)
\(332\) −0.400028 + 5.33801i −0.0219544 + 0.292961i
\(333\) 26.0015 8.71206i 1.42487 0.477418i
\(334\) 0.963926 + 12.8627i 0.0527437 + 0.703816i
\(335\) −13.5892 + 4.19172i −0.742459 + 0.229018i
\(336\) 1.47955 + 2.31062i 0.0807160 + 0.126055i
\(337\) −23.8727 7.36376i −1.30043 0.401129i −0.434218 0.900808i \(-0.642975\pi\)
−0.866211 + 0.499678i \(0.833452\pi\)
\(338\) 0.393308 1.72319i 0.0213931 0.0937294i
\(339\) −1.86620 11.4438i −0.101358 0.621542i
\(340\) −7.83689 + 34.3357i −0.425015 + 1.86211i
\(341\) −4.70874 3.21036i −0.254992 0.173851i
\(342\) 11.7886 + 5.33099i 0.637455 + 0.288267i
\(343\) −13.2329 + 12.9573i −0.714508 + 0.699627i
\(344\) 6.82411 + 11.8197i 0.367931 + 0.637276i
\(345\) 8.01698 1.93177i 0.431619 0.104003i
\(346\) −46.8886 + 14.4632i −2.52075 + 0.777547i
\(347\) 17.7220 + 2.67116i 0.951366 + 0.143395i 0.606347 0.795200i \(-0.292634\pi\)
0.345019 + 0.938596i \(0.387872\pi\)
\(348\) 16.8138 + 24.0338i 0.901315 + 1.28835i
\(349\) −17.7624 + 16.4811i −0.950802 + 0.882215i −0.993145 0.116888i \(-0.962708\pi\)
0.0423435 + 0.999103i \(0.486518\pi\)
\(350\) 4.30841 + 4.33874i 0.230294 + 0.231915i
\(351\) −3.56027 18.9453i −0.190033 1.01123i
\(352\) 1.22555 + 16.3539i 0.0653223 + 0.871665i
\(353\) −1.57486 6.89992i −0.0838214 0.367246i 0.915569 0.402161i \(-0.131741\pi\)
−0.999390 + 0.0349157i \(0.988884\pi\)
\(354\) 51.8016 12.4821i 2.75322 0.663415i
\(355\) 12.6729 + 15.8913i 0.672608 + 0.843424i
\(356\) −3.76348 + 50.2201i −0.199464 + 2.66166i
\(357\) −20.4005 12.5767i −1.07971 0.665627i
\(358\) 2.31619 + 30.9074i 0.122415 + 1.63351i
\(359\) −18.4310 + 17.1015i −0.972753 + 0.902583i −0.995268 0.0971634i \(-0.969023\pi\)
0.0225152 + 0.999747i \(0.492833\pi\)
\(360\) −4.67163 18.4104i −0.246216 0.970313i
\(361\) 7.76701 13.4529i 0.408790 0.708045i
\(362\) −18.0079 + 31.1905i −0.946472 + 1.63934i
\(363\) 0.00766994 + 0.0154477i 0.000402568 + 0.000810795i
\(364\) 29.1569 + 15.5410i 1.52824 + 0.814567i
\(365\) −6.02169 15.3430i −0.315190 0.803090i
\(366\) 25.1701 + 9.53006i 1.31566 + 0.498144i
\(367\) −3.44773 1.66034i −0.179970 0.0866691i 0.341729 0.939798i \(-0.388987\pi\)
−0.521699 + 0.853129i \(0.674702\pi\)
\(368\) −1.17729 + 0.802665i −0.0613707 + 0.0418418i
\(369\) −0.0135869 + 0.267784i −0.000707308 + 0.0139403i
\(370\) 26.4119 33.1195i 1.37309 1.72180i
\(371\) 6.88334 0.751124i 0.357365 0.0389964i
\(372\) 9.99416 + 0.627932i 0.518173 + 0.0325568i
\(373\) −33.3323 −1.72588 −0.862939 0.505308i \(-0.831379\pi\)
−0.862939 + 0.505308i \(0.831379\pi\)
\(374\) 20.0990 + 34.8125i 1.03930 + 1.80011i
\(375\) −9.24224 18.6144i −0.477267 0.961244i
\(376\) −29.2889 9.03443i −1.51046 0.465915i
\(377\) 16.8152 + 8.09778i 0.866028 + 0.417057i
\(378\) 31.7459 + 2.53073i 1.63283 + 0.130167i
\(379\) 0.599933 0.288913i 0.0308165 0.0148404i −0.418412 0.908257i \(-0.637413\pi\)
0.449229 + 0.893417i \(0.351699\pi\)
\(380\) 12.3973 1.86859i 0.635968 0.0958568i
\(381\) −13.7362 + 3.30987i −0.703729 + 0.169570i
\(382\) −23.8481 + 22.1278i −1.22018 + 1.13216i
\(383\) 13.0924 + 6.30495i 0.668988 + 0.322168i 0.737368 0.675492i \(-0.236069\pi\)
−0.0683793 + 0.997659i \(0.521783\pi\)
\(384\) −19.2728 27.5487i −0.983511 1.40584i
\(385\) −17.5483 0.718260i −0.894346 0.0366059i
\(386\) −13.6183 59.6658i −0.693155 3.03691i
\(387\) 12.8361 + 1.61938i 0.652497 + 0.0823175i
\(388\) 0.0371170 + 0.0945727i 0.00188433 + 0.00480120i
\(389\) −0.277336 + 1.21509i −0.0140615 + 0.0616075i −0.981472 0.191606i \(-0.938630\pi\)
0.967410 + 0.253214i \(0.0814875\pi\)
\(390\) −20.5163 21.5837i −1.03888 1.09293i
\(391\) 6.22298 10.7785i 0.314710 0.545093i
\(392\) −15.1814 + 16.1332i −0.766778 + 0.814850i
\(393\) 25.8935 + 5.58257i 1.30615 + 0.281603i
\(394\) −0.114759 + 1.53136i −0.00578150 + 0.0771487i
\(395\) 15.0346 + 13.9501i 0.756475 + 0.701906i
\(396\) −28.1326 18.2030i −1.41371 0.914734i
\(397\) 20.2020 6.23150i 1.01391 0.312750i 0.257101 0.966385i \(-0.417233\pi\)
0.756811 + 0.653634i \(0.226757\pi\)
\(398\) −28.0947 + 26.0681i −1.40826 + 1.30667i
\(399\) −1.51441 + 8.39595i −0.0758153 + 0.420323i
\(400\) 0.437870 + 0.406284i 0.0218935 + 0.0203142i
\(401\) 34.0269 + 16.3865i 1.69922 + 0.818301i 0.994008 + 0.109305i \(0.0348625\pi\)
0.705212 + 0.708997i \(0.250852\pi\)
\(402\) −0.343740 28.5190i −0.0171442 1.42240i
\(403\) 5.74080 2.76462i 0.285970 0.137716i
\(404\) −17.6117 + 44.8738i −0.876213 + 2.23255i
\(405\) −16.5798 7.02136i −0.823858 0.348894i
\(406\) −20.1939 + 23.2999i −1.00221 + 1.15636i
\(407\) −2.26657 30.2453i −0.112350 1.49920i
\(408\) −24.9969 14.0330i −1.23753 0.694739i
\(409\) 2.90958 7.41349i 0.143869 0.366573i −0.840716 0.541476i \(-0.817866\pi\)
0.984586 + 0.174903i \(0.0559610\pi\)
\(410\) 0.207100 + 0.358708i 0.0102280 + 0.0177153i
\(411\) −21.2963 4.59143i −1.05047 0.226478i
\(412\) 15.6883 39.9732i 0.772909 1.96934i
\(413\) 16.3090 + 31.1219i 0.802513 + 1.53141i
\(414\) −0.838070 + 16.5174i −0.0411889 + 0.811788i
\(415\) 3.14586 + 0.474162i 0.154424 + 0.0232757i
\(416\) −16.5200 7.95563i −0.809961 0.390057i
\(417\) 4.09150 1.66298i 0.200362 0.0814364i
\(418\) 8.92209 11.1880i 0.436394 0.547221i
\(419\) −7.56411 19.2730i −0.369531 0.941549i −0.987820 0.155599i \(-0.950269\pi\)
0.618290 0.785950i \(-0.287826\pi\)
\(420\) 27.1600 14.6527i 1.32527 0.714980i
\(421\) 3.66843 9.34702i 0.178789 0.455546i −0.813183 0.582008i \(-0.802267\pi\)
0.991971 + 0.126463i \(0.0403623\pi\)
\(422\) 16.5572 + 28.6779i 0.805992 + 1.39602i
\(423\) −23.6052 + 16.9413i −1.14772 + 0.823716i
\(424\) 8.18987 1.23442i 0.397735 0.0599489i
\(425\) −4.98567 1.53788i −0.241841 0.0745979i
\(426\) −37.7643 + 15.3492i −1.82969 + 0.743671i
\(427\) −2.04891 + 17.6286i −0.0991539 + 0.853108i
\(428\) 2.83528 37.8341i 0.137048 1.82878i
\(429\) −21.2792 1.33697i −1.02737 0.0645494i
\(430\) 18.0070 8.67170i 0.868373 0.418186i
\(431\) −35.1742 10.8498i −1.69428 0.522617i −0.710765 0.703430i \(-0.751651\pi\)
−0.983518 + 0.180813i \(0.942127\pi\)
\(432\) 3.10877 + 0.120191i 0.149571 + 0.00578268i
\(433\) −7.00190 + 30.6773i −0.336490 + 1.47426i 0.469819 + 0.882763i \(0.344319\pi\)
−0.806309 + 0.591495i \(0.798538\pi\)
\(434\) 1.92072 + 10.3499i 0.0921975 + 0.496809i
\(435\) 14.9906 8.89745i 0.718747 0.426600i
\(436\) 8.35296 36.5967i 0.400034 1.75266i
\(437\) −4.38110 0.660344i −0.209576 0.0315885i
\(438\) 32.9318 2.86741i 1.57354 0.137010i
\(439\) 1.96041 26.1599i 0.0935655 1.24854i −0.730842 0.682547i \(-0.760872\pi\)
0.824407 0.565997i \(-0.191509\pi\)
\(440\) −21.0080 −1.00152
\(441\) 3.48428 + 20.7089i 0.165918 + 0.986139i
\(442\) −44.9437 −2.13775
\(443\) 1.19464 15.9414i 0.0567590 0.757397i −0.894119 0.447830i \(-0.852197\pi\)
0.950878 0.309567i \(-0.100184\pi\)
\(444\) 30.5500 + 43.6684i 1.44984 + 2.07241i
\(445\) 29.5963 + 4.46093i 1.40300 + 0.211468i
\(446\) −3.63129 + 15.9097i −0.171947 + 0.753348i
\(447\) −0.498201 41.3342i −0.0235641 1.95504i
\(448\) 21.9144 25.2850i 1.03536 1.19460i
\(449\) 0.190671 0.835382i 0.00899830 0.0394241i −0.970229 0.242188i \(-0.922135\pi\)
0.979228 + 0.202763i \(0.0649922\pi\)
\(450\) 6.82885 1.19828i 0.321915 0.0564874i
\(451\) 0.283386 + 0.0874129i 0.0133441 + 0.00411611i
\(452\) 20.3027 9.77727i 0.954959 0.459884i
\(453\) 15.8536 + 31.9302i 0.744869 + 1.50021i
\(454\) −1.11575 + 14.8887i −0.0523647 + 0.698759i
\(455\) 10.5055 16.5899i 0.492504 0.777747i
\(456\) −1.39923 + 10.1085i −0.0655250 + 0.473374i
\(457\) −28.0429 8.65007i −1.31179 0.404633i −0.441538 0.897242i \(-0.645567\pi\)
−0.870251 + 0.492609i \(0.836043\pi\)
\(458\) −3.48423 + 0.525163i −0.162807 + 0.0245393i
\(459\) −24.9206 + 10.8359i −1.16320 + 0.505777i
\(460\) 8.01329 + 13.8794i 0.373621 + 0.647131i
\(461\) −7.51604 + 19.1506i −0.350057 + 0.891930i 0.642065 + 0.766651i \(0.278078\pi\)
−0.992121 + 0.125280i \(0.960017\pi\)
\(462\) 11.3491 33.3452i 0.528009 1.55136i
\(463\) −2.02074 5.14875i −0.0939116 0.239283i 0.876197 0.481952i \(-0.160072\pi\)
−0.970109 + 0.242670i \(0.921977\pi\)
\(464\) −1.87800 + 2.35494i −0.0871842 + 0.109326i
\(465\) 0.816029 5.89526i 0.0378424 0.273386i
\(466\) −43.3219 20.8627i −2.00685 0.966447i
\(467\) −4.94593 0.745480i −0.228871 0.0344967i 0.0336056 0.999435i \(-0.489301\pi\)
−0.262476 + 0.964938i \(0.584539\pi\)
\(468\) 33.3522 17.0638i 1.54171 0.788775i
\(469\) 18.1833 4.80390i 0.839626 0.221823i
\(470\) −16.3981 + 41.7816i −0.756386 + 1.92724i
\(471\) 6.91530 + 21.4956i 0.318640 + 0.990463i
\(472\) 21.0141 + 36.3975i 0.967252 + 1.67533i
\(473\) 5.22796 13.3206i 0.240382 0.612484i
\(474\) −35.3720 + 20.9945i −1.62469 + 0.964309i
\(475\) 0.138799 + 1.85215i 0.00636856 + 0.0849825i
\(476\) 12.2126 44.9466i 0.559761 2.06013i
\(477\) 3.76063 6.89207i 0.172187 0.315566i
\(478\) −4.69499 + 11.9626i −0.214744 + 0.547158i
\(479\) −14.8004 + 7.12750i −0.676248 + 0.325664i −0.740294 0.672283i \(-0.765314\pi\)
0.0640462 + 0.997947i \(0.479600\pi\)
\(480\) −14.7275 + 8.74126i −0.672215 + 0.398982i
\(481\) 30.5525 + 14.7133i 1.39308 + 0.670870i
\(482\) −3.72897 3.45998i −0.169850 0.157598i
\(483\) −10.6980 + 2.11900i −0.486774 + 0.0964180i
\(484\) −0.0245711 + 0.0227986i −0.00111687 + 0.00103630i
\(485\) 0.0576980 0.0177975i 0.00261993 0.000808142i
\(486\) 22.9227 27.9021i 1.03979 1.26567i
\(487\) 29.6493 + 27.5106i 1.34354 + 1.24662i 0.944016 + 0.329900i \(0.107015\pi\)
0.399524 + 0.916723i \(0.369175\pi\)
\(488\) −1.58640 + 21.1691i −0.0718130 + 0.958278i
\(489\) −6.13059 19.0564i −0.277235 0.861758i
\(490\) 21.8978 + 23.9348i 0.989240 + 1.08126i
\(491\) 6.06164 10.4991i 0.273558 0.473817i −0.696212 0.717836i \(-0.745133\pi\)
0.969770 + 0.244019i \(0.0784661\pi\)
\(492\) −0.506596 + 0.122069i −0.0228391 + 0.00550330i
\(493\) 5.85447 25.6501i 0.263672 1.15522i
\(494\) 5.84521 + 14.8933i 0.262988 + 0.670083i
\(495\) −12.0377 + 15.8646i −0.541053 + 0.713061i
\(496\) 0.228827 + 1.00256i 0.0102747 + 0.0450162i
\(497\) −15.8863 21.6839i −0.712596 0.972656i
\(498\) −2.69890 + 5.78155i −0.120940 + 0.259077i
\(499\) 12.4521 + 5.99660i 0.557431 + 0.268445i 0.691316 0.722552i \(-0.257031\pi\)
−0.133885 + 0.990997i \(0.542745\pi\)
\(500\) 29.6080 27.4722i 1.32411 1.22859i
\(501\) −2.73147 + 9.24956i −0.122033 + 0.413240i
\(502\) 8.95683 1.35003i 0.399763 0.0602546i
\(503\) −12.5484 + 6.04301i −0.559507 + 0.269444i −0.692192 0.721714i \(-0.743355\pi\)
0.132684 + 0.991158i \(0.457640\pi\)
\(504\) 5.17728 + 24.5798i 0.230614 + 1.09487i
\(505\) 25.8127 + 12.4308i 1.14865 + 0.553161i
\(506\) 17.4798 + 5.39181i 0.777072 + 0.239695i
\(507\) 0.731253 1.10083i 0.0324761 0.0488894i
\(508\) −13.7299 23.7809i −0.609166 1.05511i
\(509\) 3.76558 0.166906 0.0834531 0.996512i \(-0.473405\pi\)
0.0834531 + 0.996512i \(0.473405\pi\)
\(510\) −23.2278 + 34.9670i −1.02854 + 1.54837i
\(511\) 7.12713 + 20.5997i 0.315286 + 0.911275i
\(512\) 4.20783 5.27645i 0.185961 0.233188i
\(513\) 6.83186 + 6.84886i 0.301634 + 0.302385i
\(514\) 46.5672 31.7490i 2.05399 1.40039i
\(515\) −22.9938 11.0732i −1.01323 0.487944i
\(516\) 4.04693 + 24.8164i 0.178156 + 1.09248i
\(517\) 11.7408 + 29.9150i 0.516358 + 1.31566i
\(518\) −36.6914 + 42.3350i −1.61213 + 1.86009i
\(519\) −36.6165 2.30061i −1.60728 0.100985i
\(520\) 11.7441 20.3413i 0.515012 0.892026i
\(521\) 16.6368 28.8157i 0.728870 1.26244i −0.228492 0.973546i \(-0.573379\pi\)
0.957361 0.288893i \(-0.0932874\pi\)
\(522\) 8.59892 + 33.8875i 0.376365 + 1.48321i
\(523\) 28.1933 26.1596i 1.23281 1.14388i 0.248274 0.968690i \(-0.420137\pi\)
0.984535 0.175189i \(-0.0560537\pi\)
\(524\) 3.84704 + 51.3352i 0.168059 + 2.24259i
\(525\) 1.86397 + 4.17458i 0.0813505 + 0.182194i
\(526\) 0.414109 5.52590i 0.0180560 0.240941i
\(527\) −5.60035 7.02262i −0.243955 0.305910i
\(528\) 0.974550 3.30011i 0.0424118 0.143619i
\(529\) 3.85770 + 16.9017i 0.167726 + 0.734856i
\(530\) −0.906369 12.0947i −0.0393702 0.525358i
\(531\) 39.5274 + 4.98669i 1.71534 + 0.216404i
\(532\) −16.4826 + 1.79862i −0.714613 + 0.0779801i
\(533\) −0.243060 + 0.225526i −0.0105281 + 0.00976863i
\(534\) −25.3913 + 54.3930i −1.09879 + 2.35381i
\(535\) −22.2969 3.36071i −0.963978 0.145296i
\(536\) 21.4967 6.63086i 0.928517 0.286410i
\(537\) −6.56338 + 22.2255i −0.283231 + 0.959102i
\(538\) 2.97537 + 5.15350i 0.128278 + 0.222183i
\(539\) 23.1492 + 1.89819i 0.997106 + 0.0817609i
\(540\) 3.96112 34.7675i 0.170459 1.49616i
\(541\) −24.9409 17.0044i −1.07229 0.731076i −0.107530 0.994202i \(-0.534294\pi\)
−0.964761 + 0.263126i \(0.915246\pi\)
\(542\) 5.60735 24.5674i 0.240856 1.05526i
\(543\) −20.8501 + 17.0425i −0.894762 + 0.731363i
\(544\) −5.75169 + 25.1998i −0.246602 + 1.08043i
\(545\) −21.3184 6.57587i −0.913181 0.281679i
\(546\) 25.9425 + 29.6299i 1.11024 + 1.26804i
\(547\) −13.9014 + 4.28800i −0.594379 + 0.183342i −0.577327 0.816513i \(-0.695904\pi\)
−0.0170519 + 0.999855i \(0.505428\pi\)
\(548\) −3.16403 42.2210i −0.135161 1.80359i
\(549\) 15.0772 + 13.3279i 0.643480 + 0.568823i
\(550\) 0.573060 7.64695i 0.0244353 0.326067i
\(551\) −9.26128 + 1.39591i −0.394544 + 0.0594679i
\(552\) −12.6820 + 3.05585i −0.539782 + 0.130066i
\(553\) −19.1120 19.2466i −0.812725 0.818447i
\(554\) 42.8537 29.2171i 1.82068 1.24132i
\(555\) 27.2374 16.1663i 1.15616 0.686221i
\(556\) 5.35164 + 6.71075i 0.226960 + 0.284599i
\(557\) 2.54846 4.41406i 0.107982 0.187030i −0.806971 0.590591i \(-0.798895\pi\)
0.914952 + 0.403562i \(0.132228\pi\)
\(558\) 10.8757 + 4.91814i 0.460404 + 0.208201i
\(559\) 9.97533 + 12.5087i 0.421912 + 0.529060i
\(560\) 2.23303 + 2.24875i 0.0943626 + 0.0950269i
\(561\) 4.83751 + 29.6643i 0.204240 + 1.25243i
\(562\) −9.81837 + 12.3119i −0.414163 + 0.519344i
\(563\) 0.797188 + 10.6377i 0.0335975 + 0.448327i 0.988481 + 0.151346i \(0.0483608\pi\)
−0.954883 + 0.296981i \(0.904020\pi\)
\(564\) −44.5694 34.6724i −1.87671 1.45997i
\(565\) −4.89288 12.4669i −0.205845 0.524485i
\(566\) 4.84227 6.07202i 0.203536 0.255226i
\(567\) 21.5285 + 10.1746i 0.904113 + 0.427293i
\(568\) −20.0472 25.1384i −0.841161 1.05478i
\(569\) 6.24207 10.8116i 0.261681 0.453245i −0.705008 0.709200i \(-0.749056\pi\)
0.966689 + 0.255955i \(0.0823898\pi\)
\(570\) 14.6082 + 3.14949i 0.611870 + 0.131918i
\(571\) −7.13665 + 18.1839i −0.298660 + 0.760972i 0.700233 + 0.713915i \(0.253080\pi\)
−0.998892 + 0.0470575i \(0.985016\pi\)
\(572\) −9.22052 40.3978i −0.385529 1.68912i
\(573\) −22.5345 + 9.15908i −0.941393 + 0.382626i
\(574\) −0.254258 0.485191i −0.0106125 0.0202515i
\(575\) −2.13913 + 1.03015i −0.0892079 + 0.0429603i
\(576\) −9.33153 36.7746i −0.388814 1.53228i
\(577\) −2.13216 + 28.4517i −0.0887631 + 1.18446i 0.757914 + 0.652354i \(0.226219\pi\)
−0.846677 + 0.532107i \(0.821400\pi\)
\(578\) 5.33521 + 23.3751i 0.221915 + 0.972275i
\(579\) 6.27427 45.3274i 0.260750 1.88374i
\(580\) 24.8350 + 23.0435i 1.03122 + 0.956828i
\(581\) −4.13124 0.796692i −0.171393 0.0330523i
\(582\) 0.00145947 + 0.121088i 6.04971e−5 + 0.00501925i
\(583\) −6.36572 5.90653i −0.263641 0.244623i
\(584\) 9.52568 + 24.2710i 0.394175 + 1.00434i
\(585\) −8.63175 20.5244i −0.356879 0.848580i
\(586\) 28.6926 + 19.5623i 1.18528 + 0.808110i
\(587\) −1.22363 2.11938i −0.0505044 0.0874762i 0.839668 0.543100i \(-0.182750\pi\)
−0.890172 + 0.455624i \(0.849416\pi\)
\(588\) −36.6812 + 17.8929i −1.51271 + 0.737891i
\(589\) −1.59878 + 2.76917i −0.0658766 + 0.114102i
\(590\) 55.4505 26.7035i 2.28286 1.09937i
\(591\) −0.485686 + 1.04043i −0.0199784 + 0.0427976i
\(592\) −3.41225 + 4.27883i −0.140243 + 0.175859i
\(593\) 30.1917 9.31290i 1.23982 0.382435i 0.395599 0.918424i \(-0.370537\pi\)
0.844225 + 0.535989i \(0.180061\pi\)
\(594\) −23.6771 32.1650i −0.971485 1.31975i
\(595\) −26.0957 9.23415i −1.06982 0.378563i
\(596\) 76.7679 23.6798i 3.14454 0.969961i
\(597\) −26.5472 + 10.7900i −1.08650 + 0.441606i
\(598\) −14.9924 + 13.9109i −0.613085 + 0.568860i
\(599\) −17.2833 11.7835i −0.706176 0.481463i 0.156204 0.987725i \(-0.450074\pi\)
−0.862380 + 0.506262i \(0.831027\pi\)
\(600\) 2.43194 + 4.89807i 0.0992835 + 0.199963i
\(601\) 20.8589 + 14.2214i 0.850852 + 0.580101i 0.908334 0.418245i \(-0.137355\pi\)
−0.0574818 + 0.998347i \(0.518307\pi\)
\(602\) −24.2631 + 10.4847i −0.988889 + 0.427325i
\(603\) 7.31028 20.0332i 0.297698 0.815814i
\(604\) −50.7880 + 47.1243i −2.06653 + 1.91746i
\(605\) 0.0124205 + 0.0155749i 0.000504967 + 0.000633208i
\(606\) −38.5717 + 42.5885i −1.56687 + 1.73004i
\(607\) 1.14796 0.0465942 0.0232971 0.999729i \(-0.492584\pi\)
0.0232971 + 0.999729i \(0.492584\pi\)
\(608\) 9.09869 1.37141i 0.369001 0.0556179i
\(609\) −20.2896 + 10.9462i −0.822175 + 0.443561i
\(610\) 30.7393 + 4.63321i 1.24460 + 0.187593i
\(611\) −35.5290 5.35514i −1.43735 0.216646i
\(612\) −33.9137 40.4848i −1.37088 1.63650i
\(613\) 38.0021 25.9094i 1.53489 1.04647i 0.558749 0.829337i \(-0.311282\pi\)
0.976142 0.217134i \(-0.0696708\pi\)
\(614\) 19.3418 + 49.2821i 0.780571 + 1.98886i
\(615\) 0.0498457 + 0.305661i 0.00200997 + 0.0123254i
\(616\) 27.7596 + 1.13621i 1.11847 + 0.0457793i
\(617\) 19.3077 2.91017i 0.777299 0.117159i 0.251602 0.967831i \(-0.419043\pi\)
0.525697 + 0.850672i \(0.323805\pi\)
\(618\) 34.3593 37.9375i 1.38214 1.52607i
\(619\) −15.3015 −0.615021 −0.307510 0.951545i \(-0.599496\pi\)
−0.307510 + 0.951545i \(0.599496\pi\)
\(620\) 11.4372 1.72388i 0.459330 0.0692328i
\(621\) −4.95915 + 11.3281i −0.199004 + 0.454580i
\(622\) −43.6098 21.0014i −1.74859 0.842078i
\(623\) −38.8668 7.49529i −1.55716 0.300293i
\(624\) 2.65058 + 2.78848i 0.106108 + 0.111628i
\(625\) −11.8565 14.8676i −0.474262 0.594706i
\(626\) −64.1328 43.7250i −2.56326 1.74760i
\(627\) 9.20095 5.46107i 0.367450 0.218094i
\(628\) −36.2589 + 24.7209i −1.44689 + 0.986471i
\(629\) 10.6373 46.6051i 0.424137 1.85827i
\(630\) 36.4602 4.87046i 1.45261 0.194044i
\(631\) −2.22630 9.75404i −0.0886275 0.388302i 0.911087 0.412215i \(-0.135245\pi\)
−0.999714 + 0.0239128i \(0.992388\pi\)
\(632\) −23.7832 22.0676i −0.946045 0.877802i
\(633\) 3.98505 + 24.4369i 0.158392 + 0.971280i
\(634\) −13.2359 + 4.08274i −0.525666 + 0.162146i
\(635\) −14.7038 + 7.08098i −0.583503 + 0.281000i
\(636\) 14.9159 + 3.21583i 0.591455 + 0.127516i
\(637\) −14.7790 + 21.3534i −0.585566 + 0.846053i
\(638\) 38.6688 1.53091
\(639\) −30.4708 + 0.734637i −1.20541 + 0.0290618i
\(640\) −28.4670 26.4135i −1.12526 1.04409i
\(641\) 15.7457 19.7445i 0.621919 0.779862i −0.366694 0.930342i \(-0.619510\pi\)
0.988613 + 0.150480i \(0.0480818\pi\)
\(642\) 19.1289 40.9778i 0.754959 1.61727i
\(643\) 15.5648 + 4.80111i 0.613817 + 0.189337i 0.586047 0.810277i \(-0.300683\pi\)
0.0277695 + 0.999614i \(0.491160\pi\)
\(644\) −9.83794 18.7734i −0.387669 0.739776i
\(645\) 14.8874 1.29627i 0.586191 0.0510404i
\(646\) 18.6350 12.7052i 0.733186 0.499878i
\(647\) −14.2196 4.38617i −0.559031 0.172438i 0.00234758 0.999997i \(-0.499253\pi\)
−0.561379 + 0.827559i \(0.689729\pi\)
\(648\) 26.2275 + 11.1070i 1.03031 + 0.436326i
\(649\) 16.0989 41.0194i 0.631939 1.61015i
\(650\) 7.08392 + 4.82974i 0.277854 + 0.189438i
\(651\) −1.39713 + 7.74575i −0.0547578 + 0.303580i
\(652\) 32.1444 21.9157i 1.25887 0.858284i
\(653\) 1.53753 + 6.73636i 0.0601682 + 0.263614i 0.996061 0.0886709i \(-0.0282620\pi\)
−0.935893 + 0.352285i \(0.885405\pi\)
\(654\) 24.7573 37.2696i 0.968089 1.45736i
\(655\) 30.5952 1.19545
\(656\) −0.0267561 0.0463429i −0.00104465 0.00180939i
\(657\) 23.7870 + 6.71389i 0.928019 + 0.261934i
\(658\) 23.9278 54.3225i 0.932804 2.11771i
\(659\) −1.11613 0.168229i −0.0434781 0.00655327i 0.127267 0.991868i \(-0.459379\pi\)
−0.170745 + 0.985315i \(0.554618\pi\)
\(660\) −36.1955 13.7046i −1.40891 0.533451i
\(661\) −0.805484 10.7484i −0.0313297 0.418066i −0.990714 0.135963i \(-0.956587\pi\)
0.959384 0.282103i \(-0.0910319\pi\)
\(662\) 2.97499 + 39.6985i 0.115626 + 1.54292i
\(663\) −31.4272 11.8992i −1.22053 0.462127i
\(664\) −4.97642 0.750074i −0.193122 0.0291085i
\(665\) 0.333915 + 9.84849i 0.0129487 + 0.381908i
\(666\) 15.6239 + 61.5721i 0.605413 + 2.38587i
\(667\) −5.98624 10.3685i −0.231788 0.401469i
\(668\) −18.7435 −0.725209
\(669\) −6.75144 + 10.1636i −0.261026 + 0.392947i
\(670\) −7.33051 32.1171i −0.283202 1.24079i
\(671\) 18.3900 12.5381i 0.709937 0.484027i
\(672\) 19.9334 10.7540i 0.768947 0.414845i
\(673\) 25.2048 + 17.1844i 0.971574 + 0.662408i 0.941455 0.337138i \(-0.109459\pi\)
0.0301192 + 0.999546i \(0.490411\pi\)
\(674\) 21.1431 53.8717i 0.814401 2.07506i
\(675\) 5.09238 + 0.970087i 0.196006 + 0.0373387i
\(676\) 2.45431 + 0.757053i 0.0943964 + 0.0291174i
\(677\) 15.1534 10.3314i 0.582391 0.397067i −0.235980 0.971758i \(-0.575830\pi\)
0.818371 + 0.574691i \(0.194878\pi\)
\(678\) 26.7585 2.32990i 1.02765 0.0894791i
\(679\) −0.0772036 + 0.0203967i −0.00296280 + 0.000782753i
\(680\) −31.6400 9.75964i −1.21334 0.374265i
\(681\) −4.72209 + 10.1156i −0.180951 + 0.387631i
\(682\) 8.23114 10.3215i 0.315187 0.395232i
\(683\) −27.7301 25.7297i −1.06106 0.984521i −0.0611541 0.998128i \(-0.519478\pi\)
−0.999907 + 0.0136071i \(0.995669\pi\)
\(684\) −9.00508 + 16.5035i −0.344318 + 0.631029i
\(685\) −25.1633 −0.961439
\(686\) −27.6408 32.8113i −1.05533 1.25274i
\(687\) −2.57542 0.555253i −0.0982583 0.0211842i
\(688\) −2.32639 + 1.12033i −0.0886928 + 0.0427122i
\(689\) 9.27771 2.86179i 0.353453 0.109026i
\(690\) 3.07458 + 18.8538i 0.117047 + 0.717752i
\(691\) −10.6141 9.84848i −0.403781 0.374654i 0.451978 0.892029i \(-0.350719\pi\)
−0.855759 + 0.517375i \(0.826909\pi\)
\(692\) −15.8664 69.5151i −0.603149 2.64257i
\(693\) 16.7644 20.3121i 0.636826 0.771594i
\(694\) −9.23833 + 40.4758i −0.350682 + 1.53644i
\(695\) 4.21488 2.87366i 0.159880 0.109004i
\(696\) −23.7136 + 14.0748i −0.898862 + 0.533505i
\(697\) 0.386196 + 0.263304i 0.0146282 + 0.00997334i
\(698\) −34.9969 43.8847i −1.32465 1.66106i
\(699\) −24.7696 26.0582i −0.936873 0.985613i
\(700\) −6.75497 + 5.77200i −0.255314 + 0.218161i
\(701\) 28.3092 + 13.6330i 1.06923 + 0.514912i 0.883857 0.467757i \(-0.154938\pi\)
0.185368 + 0.982669i \(0.440652\pi\)
\(702\) 44.3804 4.94463i 1.67503 0.186623i
\(703\) −16.8273 + 2.53631i −0.634655 + 0.0956589i
\(704\) −41.9633 −1.58155
\(705\) −22.5285 + 24.8746i −0.848472 + 0.936831i
\(706\) 16.2116 2.44350i 0.610131 0.0919624i
\(707\) −33.4362 17.8218i −1.25750 0.670259i
\(708\) 12.4621 + 76.4192i 0.468353 + 2.87201i
\(709\) −6.48183 16.5154i −0.243430 0.620250i 0.755980 0.654595i \(-0.227161\pi\)
−0.999410 + 0.0343447i \(0.989066\pi\)
\(710\) −38.9031 + 26.5237i −1.46001 + 0.995416i
\(711\) −30.2926 + 5.31554i −1.13606 + 0.199348i
\(712\) −46.8182 7.05671i −1.75459 0.264462i
\(713\) −4.04181 0.609205i −0.151367 0.0228149i
\(714\) 32.5839 44.9485i 1.21942 1.68215i
\(715\) −24.3517 + 3.67042i −0.910701 + 0.137266i
\(716\) −45.0383 −1.68316
\(717\) −6.45021 + 7.12193i −0.240887 + 0.265973i
\(718\) −36.3142 45.5366i −1.35523 1.69941i
\(719\) 2.84818 2.64273i 0.106219 0.0985570i −0.625276 0.780404i \(-0.715013\pi\)
0.731495 + 0.681847i \(0.238823\pi\)
\(720\) 3.53936 0.621062i 0.131904 0.0231456i
\(721\) 29.7847 + 15.8756i 1.10924 + 0.591237i
\(722\) 29.7318 + 20.2708i 1.10650 + 0.754402i
\(723\) −1.69145 3.40669i −0.0629058 0.126696i
\(724\) −43.2415 29.4816i −1.60706 1.09567i
\(725\) −3.67917 + 3.41378i −0.136641 + 0.126784i
\(726\) −0.0370123 + 0.0150435i −0.00137366 + 0.000558318i
\(727\) 29.3747 9.06090i 1.08945 0.336050i 0.302550 0.953133i \(-0.402162\pi\)
0.786898 + 0.617083i \(0.211686\pi\)
\(728\) −16.6186 + 26.2435i −0.615925 + 0.972648i
\(729\) 23.4162 13.4418i 0.867265 0.497846i
\(730\) 36.4851 11.2542i 1.35037 0.416535i
\(731\) 14.0621 17.6333i 0.520106 0.652193i
\(732\) −16.5429 + 35.4381i −0.611444 + 1.30983i
\(733\) −28.9792 + 13.9557i −1.07037 + 0.515464i −0.884227 0.467058i \(-0.845314\pi\)
−0.186146 + 0.982522i \(0.559600\pi\)
\(734\) 4.43227 7.67691i 0.163598 0.283360i
\(735\) 8.97527 + 22.5342i 0.331058 + 0.831186i
\(736\) 5.88115 + 10.1865i 0.216782 + 0.375478i
\(737\) −19.4882 13.2868i −0.717858 0.489427i
\(738\) −0.616234 0.0777428i −0.0226839 0.00286175i
\(739\) 3.57398 + 9.10635i 0.131471 + 0.334982i 0.981417 0.191887i \(-0.0614608\pi\)
−0.849946 + 0.526870i \(0.823366\pi\)
\(740\) 45.1240 + 41.8690i 1.65879 + 1.53913i
\(741\) 0.144176 + 11.9619i 0.00529645 + 0.439430i
\(742\) 0.543524 + 16.0307i 0.0199534 + 0.588505i
\(743\) 4.78088 + 4.43601i 0.175393 + 0.162741i 0.762985 0.646417i \(-0.223733\pi\)
−0.587591 + 0.809158i \(0.699924\pi\)
\(744\) −1.29087 + 9.32567i −0.0473256 + 0.341896i
\(745\) −10.6245 46.5490i −0.389252 1.70542i
\(746\) 5.77022 76.9982i 0.211263 2.81910i
\(747\) −3.41794 + 3.32824i −0.125056 + 0.121774i
\(748\) −52.6281 + 25.3444i −1.92428 + 0.926682i
\(749\) 29.2809 + 5.64670i 1.06990 + 0.206326i
\(750\) 44.5996 18.1274i 1.62855 0.661918i
\(751\) 0.524730 + 2.29899i 0.0191477 + 0.0838915i 0.983599 0.180369i \(-0.0577292\pi\)
−0.964451 + 0.264261i \(0.914872\pi\)
\(752\) 2.11853 5.39792i 0.0772548 0.196842i
\(753\) 6.62057 + 1.42738i 0.241267 + 0.0520165i
\(754\) −21.6170 + 37.4417i −0.787244 + 1.36355i
\(755\) 25.6731 + 32.1930i 0.934338 + 1.17162i
\(756\) −7.11454 + 45.7269i −0.258753 + 1.66307i
\(757\) −8.40387 + 10.5381i −0.305444 + 0.383014i −0.910736 0.412989i \(-0.864485\pi\)
0.605292 + 0.796003i \(0.293056\pi\)
\(758\) 0.563538 + 1.43587i 0.0204686 + 0.0521532i
\(759\) 10.7954 + 8.39818i 0.391847 + 0.304835i
\(760\) 0.880847 + 11.7541i 0.0319517 + 0.426365i
\(761\) 30.3010 37.9963i 1.09841 1.37737i 0.179102 0.983830i \(-0.442681\pi\)
0.919310 0.393535i \(-0.128748\pi\)
\(762\) −5.26797 32.3040i −0.190838 1.17025i
\(763\) 27.8141 + 9.84223i 1.00694 + 0.356313i
\(764\) −29.4749 36.9604i −1.06636 1.33718i
\(765\) −25.5000 + 18.3012i −0.921954 + 0.661682i
\(766\) −16.8310 + 29.1522i −0.608129 + 1.05331i
\(767\) 30.7179 + 38.5191i 1.10916 + 1.39084i
\(768\) 29.3011 17.3912i 1.05731 0.627550i
\(769\) −7.19844 + 4.90781i −0.259582 + 0.176980i −0.686117 0.727491i \(-0.740686\pi\)
0.426535 + 0.904471i \(0.359734\pi\)
\(770\) 4.69702 40.4127i 0.169269 1.45637i
\(771\) 40.9683 9.87169i 1.47544 0.355520i
\(772\) 87.9383 13.2546i 3.16497 0.477042i
\(773\) −0.574570