Properties

Label 441.2.z.a.331.6
Level $441$
Weight $2$
Character 441.331
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 331.6
Character \(\chi\) \(=\) 441.331
Dual form 441.2.z.a.4.6

$q$-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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} - 22 q^{10} - 5 q^{11} + 2 q^{12} - 4 q^{13} + 52 q^{14} - 4 q^{15} + 38 q^{16} - 37 q^{17} - 16 q^{18} - 14 q^{19} - 11 q^{20} - 6 q^{21} - q^{22} - 20 q^{23} - 26 q^{24} - 97 q^{25} - 44 q^{26} + 14 q^{27} - 22 q^{28} - 53 q^{29} - 9 q^{30} + 10 q^{31} - 10 q^{32} + 2 q^{33} - 7 q^{34} - 32 q^{35} - 22 q^{36} - 39 q^{37} + 59 q^{38} - 26 q^{39} - 19 q^{40} - 17 q^{41} - 83 q^{42} - q^{43} - 31 q^{44} + 81 q^{45} + 56 q^{46} + 50 q^{47} - 23 q^{48} - 19 q^{49} - 21 q^{50} - 30 q^{51} - 9 q^{52} + 50 q^{53} + 48 q^{54} + 20 q^{55} - 239 q^{56} + 33 q^{57} + 17 q^{58} - 37 q^{59} - 152 q^{60} - 105 q^{61} - 30 q^{62} + 6 q^{63} - 88 q^{64} - 5 q^{65} - 99 q^{66} + 13 q^{67} - 290 q^{68} + 64 q^{69} + 17 q^{70} - 19 q^{71} + 11 q^{72} - 40 q^{73} - 57 q^{74} + 69 q^{75} - 41 q^{76} + 19 q^{77} + 81 q^{78} + 13 q^{79} + 163 q^{80} - 179 q^{81} - 28 q^{82} + 73 q^{83} - 341 q^{84} - 10 q^{85} + 15 q^{86} + 13 q^{87} - 13 q^{88} - 104 q^{89} + 171 q^{90} - 49 q^{91} - 91 q^{92} - 275 q^{93} - 4 q^{94} - 29 q^{95} + 231 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{16}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

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 −0.633385 0.773837i \(-0.718335\pi\)
0.510976 0.859595i \(-0.329284\pi\)
\(3\) −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 −0.971482 0.237115i \(-0.923798\pi\)
0.772395 0.635143i \(-0.219059\pi\)
\(6\) −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 −0.0749906 0.997184i \(-0.523893\pi\)
−0.826386 + 0.563104i \(0.809607\pi\)
\(12\) 3.22607 + 4.85651i 0.931285 + 1.40195i
\(13\) 0.277238 + 3.69948i 0.0768919 + 1.02605i 0.893560 + 0.448944i \(0.148200\pi\)
−0.816668 + 0.577107i \(0.804181\pi\)
\(14\) 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 −0.511881 0.859056i \(-0.671051\pi\)
−0.742351 + 0.670011i \(0.766289\pi\)
\(18\) 5.64592 + 4.05205i 1.33076 + 0.955077i
\(19\) 0.930856 1.61229i 0.213553 0.369885i −0.739271 0.673408i \(-0.764830\pi\)
0.952824 + 0.303523i \(0.0981630\pi\)
\(20\) 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 0.602686 0.797978i \(-0.294097\pi\)
−0.912082 + 0.410009i \(0.865526\pi\)
\(24\) 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 −0.993734 0.111772i \(-0.964347\pi\)
0.652434 0.757845i \(-0.273748\pi\)
\(30\) 5.38839 + 5.94954i 0.983781 + 1.08623i
\(31\) 0.858768 1.48743i 0.154239 0.267150i −0.778542 0.627592i \(-0.784041\pi\)
0.932782 + 0.360442i \(0.117374\pi\)
\(32\) 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 −0.888777 0.458340i \(-0.848444\pi\)
0.339770 0.940509i \(-0.389651\pi\)
\(38\) −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 −0.685272 0.728287i \(-0.740317\pi\)
0.675040 + 0.737781i \(0.264126\pi\)
\(42\) −7.44190 7.57018i −1.14831 1.16810i
\(43\) −3.16138 2.93333i −0.482105 0.447328i 0.401294 0.915949i \(-0.368561\pi\)
−0.883399 + 0.468621i \(0.844751\pi\)
\(44\) 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 0.758660 + 0.651487i \(0.225854\pi\)
−0.653087 + 0.757283i \(0.726527\pi\)
\(48\) −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 −0.850046 0.526709i \(-0.823426\pi\)
0.981381 + 0.192073i \(0.0615209\pi\)
\(54\) 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 −0.975613 0.219496i \(-0.929559\pi\)
−0.291790 0.956482i \(-0.594251\pi\)
\(60\) 8.03611 8.45419i 1.03746 1.09143i
\(61\) −6.63292 0.999752i −0.849259 0.128005i −0.290029 0.957018i \(-0.593665\pi\)
−0.559230 + 0.829013i \(0.688903\pi\)
\(62\) −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 −0.563015 0.826447i \(-0.690359\pi\)
0.997231 + 0.0743615i \(0.0236919\pi\)
\(68\) 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 0.999660 0.0260905i \(-0.00830582\pi\)
−0.247882 + 0.968790i \(0.579734\pi\)
\(72\) −8.45216 4.32433i −0.996096 0.509627i
\(73\) −6.80720 4.64107i −0.796722 0.543196i 0.0951611 0.995462i \(-0.469663\pi\)
−0.891883 + 0.452266i \(0.850616\pi\)
\(74\) −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 0.995854 + 0.0909712i \(0.0289971\pi\)
−0.419143 + 0.907920i \(0.637670\pi\)
\(80\) −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 0.986877 + 0.161476i \(0.0516255\pi\)
−0.999921 + 0.0125862i \(0.995994\pi\)
\(84\) −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 0.548357 + 0.836244i \(0.315254\pi\)
−0.666868 + 0.745176i \(0.732365\pi\)
\(90\) 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 −0.866791 0.498672i \(-0.833821\pi\)
0.865258 + 0.501326i \(0.167154\pi\)
\(98\) 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 0.842637 + 0.538482i \(0.181002\pi\)
−0.525551 + 0.850762i \(0.676141\pi\)
\(102\) 19.6237 7.43008i 1.94304 0.735687i
\(103\) −2.83866 12.4370i −0.279702 1.22545i −0.898171 0.439645i \(-0.855104\pi\)
0.618470 0.785809i \(-0.287753\pi\)
\(104\) −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 −0.795503 0.605949i \(-0.792793\pi\)
0.876930 0.480618i \(-0.159588\pi\)
\(108\) −17.3835 1.93678i −1.67273 0.186367i
\(109\) −0.833354 11.1203i −0.0798209 1.06514i −0.882992 0.469388i \(-0.844475\pi\)
0.803171 0.595748i \(-0.203144\pi\)
\(110\) 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 0.274503 0.961586i \(-0.411487\pi\)
−0.794828 + 0.606834i \(0.792439\pi\)
\(114\) −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 −0.503163 0.864191i \(-0.667831\pi\)
0.954489 + 0.298247i \(0.0964019\pi\)
\(128\) −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 0.576769 + 0.816907i \(0.304313\pi\)
−0.874094 + 0.485758i \(0.838544\pi\)
\(132\) −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 −0.702683 0.711503i \(-0.748015\pi\)
0.941805 0.336160i \(-0.109128\pi\)
\(138\) 8.84587 + 3.59538i 0.753011 + 0.306059i
\(139\) −1.86921 + 1.73437i −0.158544 + 0.147107i −0.755456 0.655199i \(-0.772585\pi\)
0.596912 + 0.802307i \(0.296394\pi\)
\(140\) −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 −0.972117 0.234498i \(-0.924655\pi\)
−0.789443 0.613824i \(-0.789630\pi\)
\(150\) −2.29460 + 3.27991i −0.187353 + 0.267804i
\(151\) 12.8328 + 16.0918i 1.04432 + 1.30953i 0.949408 + 0.314044i \(0.101684\pi\)
0.0949074 + 0.995486i \(0.469745\pi\)
\(152\) 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 0.962240 0.272201i \(-0.0877517\pi\)
−0.199532 + 0.979891i \(0.563942\pi\)
\(158\) 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 0.274711 0.961527i \(-0.411418\pi\)
−0.938309 + 0.345797i \(0.887608\pi\)
\(164\) 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 0.358577 0.933500i \(-0.383262\pi\)
0.0674923 + 0.997720i \(0.478500\pi\)
\(168\) 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 −0.257795 0.966200i \(-0.582996\pi\)
0.846160 0.532929i \(-0.178909\pi\)
\(174\) 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 0.623511 0.781814i \(-0.285706\pi\)
0.365367 + 0.930864i \(0.380944\pi\)
\(180\) −19.1562 6.41849i −1.42782 0.478406i
\(181\) 14.0078 6.74580i 1.04119 0.501411i 0.166474 0.986046i \(-0.446762\pi\)
0.874717 + 0.484635i \(0.161047\pi\)
\(182\) 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 −0.213379 0.976970i \(-0.568447\pi\)
0.958292 + 0.285791i \(0.0922563\pi\)
\(192\) −16.9599 13.8628i −1.22398 1.00046i
\(193\) −25.2455 7.78722i −1.81721 0.560536i −0.817336 0.576161i \(-0.804550\pi\)
−0.999878 + 0.0156243i \(0.995026\pi\)
\(194\) 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 −0.121081 0.992643i \(-0.538636\pi\)
0.980819 + 0.194923i \(0.0624458\pi\)
\(200\) 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 0.896961 0.442109i \(-0.145770\pi\)
−0.0838510 + 0.996478i \(0.526722\pi\)
\(212\) −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 0.0884004 0.996085i \(-0.471825\pi\)
0.378074 + 0.925775i \(0.376586\pi\)
\(224\) −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 −0.962512 0.271238i \(-0.912567\pi\)
0.984879 + 0.173242i \(0.0554242\pi\)
\(230\) 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 −0.931000 0.365020i \(-0.881062\pi\)
0.434194 0.900819i \(-0.357033\pi\)
\(234\) −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 −0.118521 0.992951i \(-0.537815\pi\)
0.461422 + 0.887181i \(0.347339\pi\)
\(240\) −1.18928 + 1.69996i −0.0767676 + 0.109732i
\(241\) −1.36915 1.71686i −0.0881947 0.110593i 0.735776 0.677225i \(-0.236818\pi\)
−0.823971 + 0.566632i \(0.808246\pi\)
\(242\) 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 −0.994936 0.100509i \(-0.967953\pi\)
0.940016 + 0.341131i \(0.110810\pi\)
\(252\) 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 0.0360711 + 0.999349i \(0.488516\pi\)
−0.982320 + 0.187209i \(0.940056\pi\)
\(258\) 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 0.626295 0.779586i \(-0.284570\pi\)
−0.496885 + 0.867817i \(0.665523\pi\)
\(270\) −24.0628 + 0.930313i −1.46442 + 0.0566171i
\(271\) −10.7566 + 1.62130i −0.653420 + 0.0984872i −0.467382 0.884055i \(-0.654803\pi\)
−0.186038 + 0.982543i \(0.559565\pi\)
\(272\) −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 0.159152 + 0.987254i \(0.449124\pi\)
−0.997916 + 0.0645235i \(0.979447\pi\)
\(278\) 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 −0.384085 0.923298i \(-0.625483\pi\)
0.719151 + 0.694853i \(0.244531\pi\)
\(282\) −21.5018 32.3687i −1.28041 1.92753i
\(283\) −2.77009 + 1.88861i −0.164665 + 0.112266i −0.642849 0.765993i \(-0.722248\pi\)
0.478184 + 0.878260i \(0.341295\pi\)
\(284\) −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 0.997527 0.0702870i \(-0.0223915\pi\)
−0.559634 + 0.828740i \(0.689058\pi\)
\(294\) 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 0.916505 0.400023i \(-0.130998\pi\)
0.258681 + 0.965963i \(0.416712\pi\)
\(308\) −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 −0.966373 0.257143i \(-0.917219\pi\)
0.533500 0.845800i \(-0.320876\pi\)
\(312\) 13.6509 + 15.0725i 0.772830 + 0.853312i
\(313\) −16.7538 29.0184i −0.946979 1.64022i −0.751739 0.659460i \(-0.770785\pi\)
−0.195240 0.980756i \(-0.562549\pi\)
\(314\) 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 −0.856309 0.516465i \(-0.827248\pi\)
0.979004 + 0.203842i \(0.0653430\pi\)
\(318\) 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 0.598392 0.801203i \(-0.295806\pi\)
0.335649 + 0.941987i \(0.391045\pi\)
\(332\) −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 −0.866211 0.499678i \(-0.833452\pi\)
−0.434218 + 0.900808i \(0.642975\pi\)
\(338\) 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 0.345019 0.938596i \(-0.387872\pi\)
0.606347 + 0.795200i \(0.292634\pi\)
\(348\) 16.8138 24.0338i 0.901315 1.28835i
\(349\) −17.7624 16.4811i −0.950802 0.882215i 0.0423435 0.999103i \(-0.486518\pi\)
−0.993145 + 0.116888i \(0.962708\pi\)
\(350\) 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 −0.999390 0.0349157i \(-0.988884\pi\)
0.915569 + 0.402161i \(0.131741\pi\)
\(354\) 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 0.0225152 0.999747i \(-0.492833\pi\)
−0.995268 + 0.0971634i \(0.969023\pi\)
\(360\) −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 −0.521699 0.853129i \(-0.674702\pi\)
0.341729 + 0.939798i \(0.388987\pi\)
\(368\) −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 0.449229 0.893417i \(-0.351699\pi\)
−0.418412 + 0.908257i \(0.637413\pi\)
\(380\) 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 −0.0683793 0.997659i \(-0.521783\pi\)
0.737368 + 0.675492i \(0.236069\pi\)
\(384\) −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 0.967410 0.253214i \(-0.0814875\pi\)
−0.981472 + 0.191606i \(0.938630\pi\)
\(390\) −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 0.756811 0.653634i \(-0.226757\pi\)
0.257101 + 0.966385i \(0.417233\pi\)
\(398\) −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 0.705212 0.708997i \(-0.250852\pi\)
0.994008 0.109305i \(-0.0348625\pi\)
\(402\) −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 0.984586 0.174903i \(-0.0559610\pi\)
−0.840716 + 0.541476i \(0.817866\pi\)
\(410\) 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 0.618290 + 0.785950i \(0.287826\pi\)
−0.987820 + 0.155599i \(0.950269\pi\)
\(420\) 27.1600 + 14.6527i 1.32527 + 0.714980i
\(421\) 3.66843 + 9.34702i 0.178789 + 0.455546i 0.991971 0.126463i \(-0.0403623\pi\)
−0.813183 + 0.582008i \(0.802267\pi\)
\(422\) 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 −0.983518 0.180813i \(-0.942127\pi\)
−0.710765 + 0.703430i \(0.751651\pi\)
\(432\) 3.10877 0.120191i 0.149571 0.00578268i
\(433\) −7.00190 30.6773i −0.336490 1.47426i −0.806309 0.591495i \(-0.798538\pi\)
0.469819 0.882763i \(-0.344319\pi\)
\(434\) 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 0.824407 + 0.565997i \(0.191509\pi\)
−0.730842 + 0.682547i \(0.760872\pi\)
\(440\) −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 0.950878 + 0.309567i \(0.100184\pi\)
−0.894119 + 0.447830i \(0.852197\pi\)
\(444\) 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 0.979228 0.202763i \(-0.0649922\pi\)
−0.970229 + 0.242188i \(0.922135\pi\)
\(450\) 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 −0.870251 0.492609i \(-0.836043\pi\)
−0.441538 + 0.897242i \(0.645567\pi\)
\(458\) −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 −0.992121 0.125280i \(-0.960017\pi\)
0.642065 0.766651i \(-0.278078\pi\)
\(462\) 11.3491 + 33.3452i 0.528009 + 1.55136i
\(463\) −2.02074 + 5.14875i −0.0939116 + 0.239283i −0.970109 0.242670i \(-0.921977\pi\)
0.876197 + 0.481952i \(0.160072\pi\)
\(464\) −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 −0.262476 0.964938i \(-0.584539\pi\)
0.0336056 + 0.999435i \(0.489301\pi\)
\(468\) 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 0.0640462 0.997947i \(-0.479600\pi\)
−0.740294 + 0.672283i \(0.765314\pi\)
\(480\) −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 0.399524 0.916723i \(-0.369175\pi\)
0.944016 0.329900i \(-0.107015\pi\)
\(488\) −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 0.969770 0.244019i \(-0.0784661\pi\)
−0.696212 + 0.717836i \(0.745133\pi\)
\(492\) −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 −0.133885 0.990997i \(-0.542745\pi\)
0.691316 + 0.722552i \(0.257031\pi\)
\(500\) 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 0.132684 0.991158i \(-0.457640\pi\)
−0.692192 + 0.721714i \(0.743355\pi\)
\(504\) 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 0.957361 + 0.288893i \(0.0932874\pi\)
−0.228492 + 0.973546i \(0.573379\pi\)
\(522\) 8.59892 33.8875i 0.376365 1.48321i
\(523\) 28.1933 + 26.1596i 1.23281 + 1.14388i 0.984535 + 0.175189i \(0.0560537\pi\)
0.248274 + 0.968690i \(0.420137\pi\)
\(524\) 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 −0.964761 0.263126i \(-0.915246\pi\)
−0.107530 + 0.994202i \(0.534294\pi\)
\(542\) 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 −0.0170519 0.999855i \(-0.505428\pi\)
−0.577327 + 0.816513i \(0.695904\pi\)
\(548\) −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 0.914952 0.403562i \(-0.132228\pi\)
−0.806971 + 0.590591i \(0.798895\pi\)
\(558\) 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 −0.954883 0.296981i \(-0.904020\pi\)
0.988481 0.151346i \(-0.0483608\pi\)
\(564\) −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 0.966689 0.255955i \(-0.0823898\pi\)
−0.705008 + 0.709200i \(0.749056\pi\)
\(570\) 14.6082 3.14949i 0.611870 0.131918i
\(571\) −7.13665 18.1839i −0.298660 0.760972i −0.998892 0.0470575i \(-0.985016\pi\)
0.700233 0.713915i \(-0.253080\pi\)
\(572\) −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 −0.846677 0.532107i \(-0.821400\pi\)
0.757914 0.652354i \(-0.226219\pi\)
\(578\) 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 −0.890172 0.455624i \(-0.849416\pi\)
0.839668 + 0.543100i \(0.182750\pi\)
\(588\) −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 0.844225 0.535989i \(-0.180061\pi\)
0.395599 + 0.918424i \(0.370537\pi\)
\(594\) −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 −0.862380 0.506262i \(-0.831027\pi\)
0.156204 + 0.987725i \(0.450074\pi\)
\(600\) 2.43194 4.89807i 0.0992835 0.199963i
\(601\) 20.8589 14.2214i 0.850852 0.580101i −0.0574818 0.998347i \(-0.518307\pi\)
0.908334 + 0.418245i \(0.137355\pi\)
\(602\) −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 0.976142 + 0.217134i \(0.0696708\pi\)
0.558749 + 0.829337i \(0.311282\pi\)
\(614\) 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 0.525697 0.850672i \(-0.323805\pi\)
0.251602 + 0.967831i \(0.419043\pi\)
\(618\) 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 −0.999714 0.0239128i \(-0.992388\pi\)
0.911087 + 0.412215i \(0.135245\pi\)
\(632\) −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 0.988613 0.150480i \(-0.0480818\pi\)
−0.366694 + 0.930342i \(0.619510\pi\)
\(642\) 19.1289 + 40.9778i 0.754959 + 1.61727i
\(643\) 15.5648 4.80111i 0.613817 0.189337i 0.0277695 0.999614i \(-0.491160\pi\)
0.586047 + 0.810277i \(0.300683\pi\)
\(644\) −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 −0.561379 0.827559i \(-0.689729\pi\)
0.00234758 + 0.999997i \(0.499253\pi\)
\(648\) 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 −0.935893 0.352285i \(-0.885405\pi\)
0.996061 + 0.0886709i \(0.0282620\pi\)
\(654\) 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 −0.170745 0.985315i \(-0.554618\pi\)
0.127267 + 0.991868i \(0.459379\pi\)
\(660\) −36.1955 + 13.7046i −1.40891 + 0.533451i
\(661\) −0.805484 + 10.7484i −0.0313297 + 0.418066i 0.959384 + 0.282103i \(0.0910319\pi\)
−0.990714 + 0.135963i \(0.956587\pi\)
\(662\) 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 0.0301192 0.999546i \(-0.490411\pi\)
0.941455 + 0.337138i \(0.109459\pi\)
\(674\) 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 0.818371 0.574691i \(-0.194878\pi\)
−0.235980 + 0.971758i \(0.575830\pi\)
\(678\) 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 −0.999907 0.0136071i \(-0.995669\pi\)
−0.0611541 + 0.998128i \(0.519478\pi\)
\(684\) −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 −0.855759 0.517375i \(-0.826909\pi\)
0.451978 + 0.892029i \(0.350719\pi\)
\(692\) −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 0.185368 0.982669i \(-0.440652\pi\)
0.883857 + 0.467757i \(0.154938\pi\)
\(702\) 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 −0.999410 0.0343447i \(-0.989066\pi\)
0.755980 + 0.654595i \(0.227161\pi\)
\(710\) −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 0.731495 0.681847i \(-0.238823\pi\)
−0.625276 + 0.780404i \(0.715013\pi\)
\(720\) 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 0.786898 0.617083i \(-0.211686\pi\)
0.302550 + 0.953133i \(0.402162\pi\)
\(728\) −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 −0.186146 0.982522i \(-0.559600\pi\)
−0.884227 + 0.467058i \(0.845314\pi\)
\(734\) 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 −0.849946 0.526870i \(-0.823366\pi\)
0.981417 + 0.191887i \(0.0614608\pi\)
\(740\) 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 −0.587591 0.809158i \(-0.699924\pi\)
0.762985 + 0.646417i \(0.223733\pi\)
\(744\) −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 −0.964451 0.264261i \(-0.914872\pi\)
0.983599 + 0.180369i \(0.0577292\pi\)
\(752\) 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 0.605292 0.796003i \(-0.293056\pi\)
−0.910736 + 0.412989i \(0.864485\pi\)
\(758\) 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 0.919310 + 0.393535i \(0.128748\pi\)
0.179102 + 0.983830i \(0.442681\pi\)
\(762\) −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 0.426535 0.904471i \(-0.359734\pi\)
−0.686117 + 0.727491i \(0.740686\pi\)
\(770\) 4.69702 + 40.4127i 0.169269 + 1.45637i
\(771\) 40.9683 + 9.87169i