Properties

Label 804.2.bd.a.23.6
Level 804
Weight 2
Character 804.23
Analytic conductor 6.420
Analytic rank 0
Dimension 2640
CM no
Inner twists 8

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Newspace parameters

Level: \( N \) = \( 804 = 2^{2} \cdot 3 \cdot 67 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 804.bd (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.41997232251\)
Analytic rank: \(0\)
Dimension: \(2640\)
Relative dimension: \(132\) over \(\Q(\zeta_{66})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 23.6
Character \(\chi\) = 804.23
Dual form 804.2.bd.a.35.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.39917 + 0.205706i) q^{2} +(-0.594255 + 1.62692i) q^{3} +(1.91537 - 0.575637i) q^{4} +(-1.29680 + 0.592230i) q^{5} +(0.496799 - 2.39858i) q^{6} +(3.42631 + 3.59341i) q^{7} +(-2.56152 + 1.19942i) q^{8} +(-2.29372 - 1.93361i) q^{9} +O(q^{10})\) \(q+(-1.39917 + 0.205706i) q^{2} +(-0.594255 + 1.62692i) q^{3} +(1.91537 - 0.575637i) q^{4} +(-1.29680 + 0.592230i) q^{5} +(0.496799 - 2.39858i) q^{6} +(3.42631 + 3.59341i) q^{7} +(-2.56152 + 1.19942i) q^{8} +(-2.29372 - 1.93361i) q^{9} +(1.69263 - 1.09539i) q^{10} +(3.18208 + 0.303852i) q^{11} +(-0.201704 + 3.45822i) q^{12} +(6.15441 + 1.18617i) q^{13} +(-5.53319 - 4.32299i) q^{14} +(-0.192878 - 2.46173i) q^{15} +(3.33728 - 2.20512i) q^{16} +(0.341061 - 0.661567i) q^{17} +(3.60707 + 2.23362i) q^{18} +(0.192852 - 0.202257i) q^{19} +(-2.14295 + 1.88083i) q^{20} +(-7.88228 + 3.43892i) q^{21} +(-4.51479 + 0.229433i) q^{22} +(6.89104 - 2.75876i) q^{23} +(-0.429160 - 4.88015i) q^{24} +(-1.94334 + 2.24274i) q^{25} +(-8.85509 - 0.393650i) q^{26} +(4.50888 - 2.58264i) q^{27} +(8.63115 + 4.91040i) q^{28} +(5.39619 + 3.11549i) q^{29} +(0.776262 + 3.40470i) q^{30} +(-0.554866 - 2.87892i) q^{31} +(-4.21583 + 3.77184i) q^{32} +(-2.38531 + 4.99642i) q^{33} +(-0.341115 + 0.995805i) q^{34} +(-6.57137 - 2.63078i) q^{35} +(-5.50638 - 2.38322i) q^{36} +(-2.95598 - 5.11991i) q^{37} +(-0.228228 + 0.322664i) q^{38} +(-5.58709 + 9.30784i) q^{39} +(2.61146 - 3.07242i) q^{40} +(2.97048 - 0.141502i) q^{41} +(10.3213 - 6.43308i) q^{42} +(-4.43005 - 6.89330i) q^{43} +(6.26977 - 1.24974i) q^{44} +(4.11964 + 1.14910i) q^{45} +(-9.07427 + 5.27751i) q^{46} +(6.45258 + 5.07437i) q^{47} +(1.60435 + 6.73989i) q^{48} +(-0.839925 + 17.6322i) q^{49} +(2.25773 - 3.53774i) q^{50} +(0.873637 + 0.948018i) q^{51} +(12.4708 - 1.27076i) q^{52} +(0.671456 - 1.04481i) q^{53} +(-5.77743 + 4.54106i) q^{54} +(-4.30648 + 1.49049i) q^{55} +(-13.0866 - 5.09501i) q^{56} +(0.214453 + 0.433947i) q^{57} +(-8.19108 - 3.24908i) q^{58} +(-1.33605 - 1.54189i) q^{59} +(-1.78649 - 4.60409i) q^{60} +(-5.19752 + 0.496303i) q^{61} +(1.36856 + 3.91396i) q^{62} +(-0.910752 - 14.8674i) q^{63} +(5.12278 - 6.14468i) q^{64} +(-8.68354 + 2.10660i) q^{65} +(2.30967 - 7.48153i) q^{66} +(7.16049 - 3.96578i) q^{67} +(0.272436 - 1.46347i) q^{68} +(0.393233 + 12.8506i) q^{69} +(9.73565 + 2.32914i) q^{70} +(-10.0208 + 5.16610i) q^{71} +(8.19463 + 2.20184i) q^{72} +(-16.2714 + 1.55373i) q^{73} +(5.18913 + 6.55557i) q^{74} +(-2.49391 - 4.49442i) q^{75} +(0.252956 - 0.498410i) q^{76} +(9.81093 + 12.4756i) q^{77} +(5.90262 - 14.1726i) q^{78} +(-2.03399 + 0.703971i) q^{79} +(-3.02186 + 4.83604i) q^{80} +(1.52232 + 8.87032i) q^{81} +(-4.12711 + 0.809032i) q^{82} +(-3.86820 + 5.43213i) q^{83} +(-13.1179 + 11.1241i) q^{84} +(-0.0504897 + 1.05991i) q^{85} +(7.61640 + 8.73362i) q^{86} +(-8.27537 + 6.92776i) q^{87} +(-8.51542 + 3.03833i) q^{88} +(-15.2669 + 2.19505i) q^{89} +(-6.00047 - 0.760350i) q^{90} +(16.8245 + 26.1795i) q^{91} +(11.6109 - 9.25078i) q^{92} +(5.01349 + 0.808090i) q^{93} +(-10.0721 - 5.77258i) q^{94} +(-0.130308 + 0.376500i) q^{95} +(-3.63119 - 9.10024i) q^{96} +(2.13540 + 3.69862i) q^{97} +(-2.45185 - 24.8433i) q^{98} +(-6.71128 - 6.84985i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 2640q - 42q^{4} - 19q^{6} - 32q^{9} + O(q^{10}) \) \( 2640q - 42q^{4} - 19q^{6} - 32q^{9} - 46q^{10} - 24q^{12} - 88q^{13} - 26q^{16} - 23q^{18} - 128q^{22} - 22q^{24} + 160q^{25} + 44q^{28} - 18q^{30} - 44q^{33} - 6q^{34} - 35q^{36} - 48q^{37} - 92q^{40} - 10q^{42} + 40q^{45} + 46q^{46} - 11q^{48} - 216q^{49} - 76q^{52} + 129q^{54} - 42q^{57} - 56q^{58} - 90q^{60} - 80q^{61} - 48q^{64} - 74q^{66} - 4q^{69} + 96q^{70} - 20q^{72} - 216q^{73} + 76q^{76} - 66q^{78} - 16q^{81} + 20q^{82} - 55q^{84} - 104q^{85} - 30q^{88} - 64q^{90} - 192q^{93} - 32q^{94} - 205q^{96} - 64q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).

\(n\) \(269\) \(337\) \(403\)
\(\chi(n)\) \(-1\) \(e\left(\frac{14}{33}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.39917 + 0.205706i −0.989365 + 0.145456i
\(3\) −0.594255 + 1.62692i −0.343093 + 0.939301i
\(4\) 1.91537 0.575637i 0.957685 0.287819i
\(5\) −1.29680 + 0.592230i −0.579948 + 0.264853i −0.683716 0.729748i \(-0.739637\pi\)
0.103768 + 0.994602i \(0.466910\pi\)
\(6\) 0.496799 2.39858i 0.202817 0.979217i
\(7\) 3.42631 + 3.59341i 1.29502 + 1.35818i 0.897765 + 0.440474i \(0.145190\pi\)
0.397257 + 0.917707i \(0.369962\pi\)
\(8\) −2.56152 + 1.19942i −0.905635 + 0.424059i
\(9\) −2.29372 1.93361i −0.764574 0.644536i
\(10\) 1.69263 1.09539i 0.535255 0.346393i
\(11\) 3.18208 + 0.303852i 0.959434 + 0.0916148i 0.563008 0.826452i \(-0.309644\pi\)
0.396426 + 0.918067i \(0.370250\pi\)
\(12\) −0.201704 + 3.45822i −0.0582269 + 0.998303i
\(13\) 6.15441 + 1.18617i 1.70693 + 0.328983i 0.947051 0.321084i \(-0.104047\pi\)
0.759876 + 0.650068i \(0.225259\pi\)
\(14\) −5.53319 4.32299i −1.47881 1.15537i
\(15\) −0.192878 2.46173i −0.0498008 0.635615i
\(16\) 3.33728 2.20512i 0.834321 0.551279i
\(17\) 0.341061 0.661567i 0.0827195 0.160454i −0.843848 0.536583i \(-0.819715\pi\)
0.926567 + 0.376129i \(0.122745\pi\)
\(18\) 3.60707 + 2.23362i 0.850194 + 0.526469i
\(19\) 0.192852 0.202257i 0.0442433 0.0464010i −0.701240 0.712925i \(-0.747370\pi\)
0.745484 + 0.666524i \(0.232219\pi\)
\(20\) −2.14295 + 1.88083i −0.479177 + 0.420566i
\(21\) −7.88228 + 3.43892i −1.72005 + 0.750434i
\(22\) −4.51479 + 0.229433i −0.962556 + 0.0489153i
\(23\) 6.89104 2.75876i 1.43688 0.575241i 0.483053 0.875591i \(-0.339528\pi\)
0.953829 + 0.300350i \(0.0971036\pi\)
\(24\) −0.429160 4.88015i −0.0876019 0.996156i
\(25\) −1.94334 + 2.24274i −0.388669 + 0.448548i
\(26\) −8.85509 0.393650i −1.73663 0.0772010i
\(27\) 4.50888 2.58264i 0.867734 0.497029i
\(28\) 8.63115 + 4.91040i 1.63113 + 0.927978i
\(29\) 5.39619 + 3.11549i 1.00205 + 0.578533i 0.908854 0.417115i \(-0.136959\pi\)
0.0931942 + 0.995648i \(0.470292\pi\)
\(30\) 0.776262 + 3.40470i 0.141725 + 0.621611i
\(31\) −0.554866 2.87892i −0.0996568 0.517069i −0.997111 0.0759605i \(-0.975798\pi\)
0.897454 0.441108i \(1.85459\pi\)
\(32\) −4.21583 + 3.77184i −0.745260 + 0.666773i
\(33\) −2.38531 + 4.99642i −0.415229 + 0.869765i
\(34\) −0.341115 + 0.995805i −0.0585008 + 0.170779i
\(35\) −6.57137 2.63078i −1.11076 0.444683i
\(36\) −5.50638 2.38322i −0.917730 0.397204i
\(37\) −2.95598 5.11991i −0.485960 0.841708i 0.513910 0.857844i \(-0.328197\pi\)
−0.999870 + 0.0161365i \(0.994863\pi\)
\(38\) −0.228228 + 0.322664i −0.0370234 + 0.0523430i
\(39\) −5.58709 + 9.30784i −0.894650 + 1.49045i
\(40\) 2.61146 3.07242i 0.412907 0.485792i
\(41\) 2.97048 0.141502i 0.463912 0.0220988i 0.185675 0.982611i \(-0.440553\pi\)
0.278237 + 0.960512i \(0.410250\pi\)
\(42\) 10.3213 6.43308i 1.59261 0.992646i
\(43\) −4.43005 6.89330i −0.675577 1.05122i −0.994631 0.103482i \(-0.967002\pi\)
0.319055 0.947736i \(1.60337\pi\)
\(44\) 6.26977 1.24974i 0.945204 0.188405i
\(45\) 4.11964 + 1.14910i 0.614120 + 0.171297i
\(46\) −9.07427 + 5.27751i −1.33793 + 0.778126i
\(47\) 6.45258 + 5.07437i 0.941206 + 0.740172i 0.965736 0.259527i \(-0.0835666\pi\)
−0.0245303 + 0.999699i \(0.507809\pi\)
\(48\) 1.60435 + 6.73989i 0.231567 + 0.972819i
\(49\) −0.839925 + 17.6322i −0.119989 + 2.51888i
\(50\) 2.25773 3.53774i 0.319291 0.500311i
\(51\) 0.873637 + 0.948018i 0.122334 + 0.132749i
\(52\) 12.4708 1.27076i 1.72939 0.176223i
\(53\) 0.671456 1.04481i 0.0922315 0.143515i −0.792072 0.610428i \(-0.790997\pi\)
0.884303 + 0.466913i \(0.154634\pi\)
\(54\) −5.77743 + 4.54106i −0.786209 + 0.617960i
\(55\) −4.30648 + 1.49049i −0.580686 + 0.200977i
\(56\) −13.0866 5.09501i −1.74877 0.680850i
\(57\) 0.214453 + 0.433947i 0.0284050 + 0.0574776i
\(58\) −8.19108 3.24908i −1.07554 0.426625i
\(59\) −1.33605 1.54189i −0.173939 0.200736i 0.662086 0.749428i \(-0.269671\pi\)
−0.836025 + 0.548692i \(0.815126\pi\)
\(60\) −1.78649 4.60409i −0.230635 0.594385i
\(61\) −5.19752 + 0.496303i −0.665474 + 0.0635451i −0.422326 0.906444i \(-0.638786\pi\)
−0.243148 + 0.969989i \(0.578180\pi\)
\(62\) 1.36856 + 3.91396i 0.173808 + 0.497074i
\(63\) −0.910752 14.8674i −0.114744 1.87312i
\(64\) 5.12278 6.14468i 0.640348 0.768085i
\(65\) −8.68354 + 2.10660i −1.07706 + 0.261292i
\(66\) 2.30967 7.48153i 0.284300 0.920913i
\(67\) 7.16049 3.96578i 0.874793 0.484497i
\(68\) 0.272436 1.46347i 0.0330377 0.177472i
\(69\) 0.393233 + 12.8506i 0.0473397 + 1.54703i
\(70\) 9.73565 + 2.32914i 1.16363 + 0.278386i
\(71\) −10.0208 + 5.16610i −1.18926 + 0.613104i −0.935212 0.354089i \(-0.884791\pi\)
−0.254044 + 0.967193i \(0.581761\pi\)
\(72\) 8.19463 + 2.20184i 0.965746 + 0.259490i
\(73\) −16.2714 + 1.55373i −1.90442 + 0.181850i −0.979929 0.199348i \(-0.936118\pi\)
−0.924493 + 0.381198i \(0.875512\pi\)
\(74\) 5.18913 + 6.55557i 0.603224 + 0.762070i
\(75\) −2.49391 4.49442i −0.287972 0.518971i
\(76\) 0.252956 0.498410i 0.0290160 0.0571716i
\(77\) 9.81093 + 12.4756i 1.11806 + 1.42173i
\(78\) 5.90262 14.1726i 0.668340 1.60473i
\(79\) −2.03399 + 0.703971i −0.228842 + 0.0792029i −0.439082 0.898447i \(-0.644696\pi\)
0.210241 + 0.977650i \(0.432575\pi\)
\(80\) −3.02186 + 4.83604i −0.337854 + 0.540686i
\(81\) 1.52232 + 8.87032i 0.169146 + 0.985591i
\(82\) −4.12711 + 0.809032i −0.455763 + 0.0893427i
\(83\) −3.86820 + 5.43213i −0.424590 + 0.596253i −0.970355 0.241685i \(-0.922300\pi\)
0.545765 + 0.837939i \(0.316239\pi\)
\(84\) −13.1179 + 11.1241i −1.43128 + 1.21374i
\(85\) −0.0504897 + 1.05991i −0.00547637 + 0.114963i
\(86\) 7.61640 + 8.73362i 0.821298 + 0.941771i
\(87\) −8.27537 + 6.92776i −0.887212 + 0.742734i
\(88\) −8.51542 + 3.03833i −0.907747 + 0.323887i
\(89\) −15.2669 + 2.19505i −1.61829 + 0.232675i −0.891116 0.453776i \(-0.850077\pi\)
−0.727176 + 0.686451i \(0.759168\pi\)
\(90\) −6.00047 0.760350i −0.632505 0.0801479i
\(91\) 16.8245 + 26.1795i 1.76369 + 2.74436i
\(92\) 11.6109 9.25078i 1.21052 0.964461i
\(93\) 5.01349 + 0.808090i 0.519875 + 0.0837950i
\(94\) −10.0721 5.77258i −1.03886 0.595396i
\(95\) −0.130308 + 0.376500i −0.0133693 + 0.0386281i
\(96\) −3.63119 9.10024i −0.370607 0.928790i
\(97\) 2.13540 + 3.69862i 0.216817 + 0.375538i 0.953833 0.300337i \(-0.0970992\pi\)
−0.737016 + 0.675875i \(0.763766\pi\)
\(98\) −2.45185 24.8433i −0.247674 2.50955i
\(99\) −6.71128 6.84985i −0.674509 0.688436i
\(100\) −2.43122 + 5.41433i −0.243122 + 0.541433i
\(101\) −10.5810 2.56693i −1.05285 0.255419i −0.328254 0.944590i \(-0.606460\pi\)
−0.724600 + 0.689170i \(0.757975\pi\)
\(102\) −1.41738 1.14673i −0.140342 0.113543i
\(103\) −0.0926553 0.480741i −0.00912960 0.0473688i 0.977078 0.212881i \(-0.0682845\pi\)
−0.986208 + 0.165512i \(0.947072\pi\)
\(104\) −17.1874 + 4.34334i −1.68536 + 0.425899i
\(105\) 8.18513 9.12772i 0.798787 0.890774i
\(106\) −0.724559 + 1.59999i −0.0703754 + 0.155404i
\(107\) 2.89170 6.33194i 0.279551 0.612131i −0.716819 0.697259i \(-0.754403\pi\)
0.996370 + 0.0851279i \(0.0271299\pi\)
\(108\) 7.14950 7.54219i 0.687961 0.725747i
\(109\) 1.11902 1.29142i 0.107183 0.123696i −0.699623 0.714512i \(-0.746649\pi\)
0.806806 + 0.590816i \(0.201194\pi\)
\(110\) 5.71891 2.97132i 0.545277 0.283304i
\(111\) 10.0863 1.76660i 0.957347 0.167679i
\(112\) 19.3584 + 4.43681i 1.82920 + 0.419239i
\(113\) 9.43433 6.71815i 0.887507 0.631991i −0.0426753 0.999089i \(-0.513588\pi\)
0.930182 + 0.367098i \(0.119649\pi\)
\(114\) −0.389322 0.563052i −0.0364633 0.0527347i
\(115\) −7.30250 + 7.65865i −0.680962 + 0.714172i
\(116\) 12.1291 + 2.86107i 1.12616 + 0.265644i
\(117\) −11.8229 14.6210i −1.09303 1.35171i
\(118\) 2.18654 + 1.88253i 0.201288 + 0.173301i
\(119\) 3.54586 1.04116i 0.325049 0.0954429i
\(120\) 3.44670 + 6.07442i 0.314640 + 0.554516i
\(121\) −0.767892 0.147999i −0.0698083 0.0134545i
\(122\) 7.17014 1.76358i 0.649154 0.159667i
\(123\) −1.53501 + 4.91682i −0.138408 + 0.443335i
\(124\) −2.71998 5.19479i −0.244262 0.466506i
\(125\) 3.20015 10.8987i 0.286230 0.974811i
\(126\) 4.33262 + 20.6147i 0.385981 + 1.83651i
\(127\) 11.7284 + 12.3004i 1.04073 + 1.09148i 0.995713 + 0.0924960i \(0.0294845\pi\)
0.0450133 + 0.998986i \(0.485667\pi\)
\(128\) −5.90366 + 9.65126i −0.521815 + 0.853059i
\(129\) 13.8474 3.11095i 1.21920 0.273904i
\(130\) 11.7164 4.73376i 1.02760 0.415178i
\(131\) 1.98674 13.8181i 0.173582 1.20729i −0.697657 0.716432i \(-0.745774\pi\)
0.871239 0.490859i \(-0.163317\pi\)
\(132\) −1.69263 + 10.9431i −0.147324 + 0.952472i
\(133\) 1.38756 0.120317
\(134\) −9.20298 + 7.02177i −0.795016 + 0.606588i
\(135\) −4.31761 + 6.01946i −0.371600 + 0.518073i
\(136\) −0.0801397 + 2.10369i −0.00687192 + 0.180390i
\(137\) −3.75621 0.540062i −0.320915 0.0461406i −0.0200249 0.999799i \(-0.506375\pi\)
−0.300890 + 0.953659i \(0.597284\pi\)
\(138\) −3.19364 17.8993i −0.271861 1.52369i
\(139\) 3.90056 1.78133i 0.330841 0.151090i −0.243067 0.970009i \(-0.578154\pi\)
0.573909 + 0.818919i \(0.305426\pi\)
\(140\) −14.1010 1.25619i −1.19175 0.106167i
\(141\) −12.0901 + 7.48235i −1.01817 + 0.630127i
\(142\) 12.9582 9.28962i 1.08743 0.779568i
\(143\) 19.2234 + 5.64451i 1.60754 + 0.472018i
\(144\) −11.9186 1.39507i −0.993219 0.116256i
\(145\) −8.84288 0.844393i −0.734361 0.0701230i
\(146\) 22.4469 5.52106i 1.85772 0.456926i
\(147\) −28.1870 11.8445i −2.32482 0.976918i
\(148\) −8.60901 8.10495i −0.707656 0.666222i
\(149\) −2.51684 8.57156i −0.206187 0.702209i −0.996039 0.0889121i \(-0.971661\pi\)
0.789852 0.613297i \(-0.210157\pi\)
\(150\) 4.41394 + 5.77546i 0.360397 + 0.471564i
\(151\) 7.01835 13.6137i 0.571145 1.10787i −0.409543 0.912291i \(-0.634312\pi\)
0.980688 0.195576i \(-0.0626578\pi\)
\(152\) −0.251403 + 0.749397i −0.0203915 + 0.0607841i
\(153\) −2.06151 + 0.857971i −0.166663 + 0.0693628i
\(154\) −16.2935 15.4374i −1.31297 1.24398i
\(155\) 2.42453 + 3.40478i 0.194743 + 0.273478i
\(156\) −5.34340 + 21.0441i −0.427814 + 1.68488i
\(157\) 4.45319 1.78279i 0.355403 0.142282i −0.187089 0.982343i \(-0.559905\pi\)
0.542492 + 0.840061i \(0.317481\pi\)
\(158\) 2.70109 1.40338i 0.214887 0.111647i
\(159\) 1.30080 + 1.71328i 0.103160 + 0.135872i
\(160\) 3.23330 7.38807i 0.255615 0.584078i
\(161\) 33.5242 + 15.3100i 2.64208 + 1.20660i
\(162\) −3.95467 12.0980i −0.310708 0.950505i
\(163\) −9.67793 5.58756i −0.758034 0.437651i 0.0705552 0.997508i \(-0.477523\pi\)
−0.828590 + 0.559857i \(0.810856\pi\)
\(164\) 5.60812 1.98095i 0.437921 0.154686i
\(165\) 0.134248 7.89202i 0.0104512 0.614393i
\(166\) 4.29486 8.39620i 0.333346 0.651671i
\(167\) −1.72199 + 7.09813i −0.133252 + 0.549270i 0.865572 + 0.500784i \(0.166955\pi\)
−0.998824 + 0.0484863i \(0.984560\pi\)
\(168\) 16.0659 18.2630i 1.23951 1.40902i
\(169\) 24.4010 + 9.76870i 1.87700 + 0.751438i
\(170\) −0.147386 1.49338i −0.0113040 0.114537i
\(171\) −0.833435 + 0.0910218i −0.0637344 + 0.00696061i
\(172\) −12.4532 10.6531i −0.949550 0.812292i
\(173\) −12.8184 4.43650i −0.974566 0.337301i −0.207050 0.978330i \(-0.566386\pi\)
−0.767516 + 0.641030i \(0.778508\pi\)
\(174\) 10.1536 11.3954i 0.769741 0.863885i
\(175\) −14.7176 + 0.701084i −1.11254 + 0.0529970i
\(176\) 11.2895 6.00282i 0.850981 0.452480i
\(177\) 3.30248 1.25737i 0.248229 0.0945098i
\(178\) 20.9095 6.21177i 1.56724 0.465591i
\(179\) −0.839590 5.83948i −0.0627539 0.436463i −0.996841 0.0794187i \(-0.974694\pi\)
0.934087 0.357044i \(1.88378\pi\)
\(180\) 8.55211 0.170474i 0.637436 0.0127064i
\(181\) 0.892237 + 0.701663i 0.0663195 + 0.0521542i 0.650768 0.759276i \(-0.274447\pi\)
−0.584449 + 0.811430i \(0.698689\pi\)
\(182\) −28.9257 33.1687i −2.14412 2.45863i
\(183\) 2.28121 8.75087i 0.168632 0.646883i
\(184\) −14.3426 + 15.3319i −1.05735 + 1.13028i
\(185\) 6.86549 + 4.88889i 0.504761 + 0.359438i
\(186\) −7.18097 0.0993513i −0.526534 0.00728479i
\(187\) 1.28630 2.00153i 0.0940639 0.146366i
\(188\) 15.2801 + 6.00494i 1.11441 + 0.437955i
\(189\) 24.7293 + 7.35332i 1.79879 + 0.534876i
\(190\) 0.104875 0.553594i 0.00760843 0.0401620i
\(191\) −8.87627 + 6.98038i −0.642265 + 0.505082i −0.885352 0.464922i \(-0.846082\pi\)
0.243087 + 0.970004i \(0.421840\pi\)
\(192\) 6.95265 + 11.9859i 0.501764 + 0.865005i
\(193\) −12.3347 14.2350i −0.887872 1.02466i −0.999522 0.0309109i \(-0.990159\pi\)
0.111651 0.993748i \(-0.464386\pi\)
\(194\) −3.74862 4.73575i −0.269136 0.340007i
\(195\) 1.73297 15.3793i 0.124100 1.10133i
\(196\) 8.54098 + 34.2556i 0.610070 + 2.44683i
\(197\) −9.64062 18.7002i −0.686866 1.33233i −0.931863 0.362810i \(-0.881818\pi\)
0.244998 0.969524i \(-0.421213\pi\)
\(198\) 10.7993 + 8.20358i 0.767473 + 0.583003i
\(199\) 6.04987 1.46768i 0.428864 0.104041i −0.0155162 0.999880i \(-0.504939\pi\)
0.444380 + 0.895838i \(0.353424\pi\)
\(200\) 2.28793 8.07571i 0.161781 0.571039i
\(201\) 2.19684 + 14.0062i 0.154953 + 0.987922i
\(202\) 15.3327 + 1.41500i 1.07881 + 0.0995588i
\(203\) 7.29378 + 30.0654i 0.511923 + 2.11018i
\(204\) 2.21905 + 1.31291i 0.155365 + 0.0919219i
\(205\) −3.76833 + 1.94271i −0.263192 + 0.135685i
\(206\) 0.228532 + 0.653580i 0.0159226 + 0.0455371i
\(207\) −21.1405 6.99676i −1.46937 0.486308i
\(208\) 23.1547 9.61263i 1.60549 0.666516i
\(209\) 0.675127 0.585001i 0.0466995 0.0404654i
\(210\) −9.57479 + 14.4550i −0.660723 + 0.997489i
\(211\) 5.13580 + 6.53070i 0.353563 + 0.449592i 0.930005 0.367546i \(-0.119802\pi\)
−0.576443 + 0.817138i \(0.695560\pi\)
\(212\) 0.684657 2.38770i 0.0470224 0.163988i
\(213\) −2.44989 19.3731i −0.167864 1.32742i
\(214\) −2.74347 + 9.45432i −0.187540 + 0.646284i
\(215\) 9.82732 + 6.31563i 0.670218 + 0.430723i
\(216\) −8.45192 + 12.0235i −0.575080 + 0.818097i
\(217\) 8.44398 11.8579i 0.573215 0.804968i
\(218\) −1.30005 + 2.03711i −0.0880508 + 0.137971i
\(219\) 7.14157 27.3955i 0.482582 1.85122i
\(220\) −7.39053 + 5.33381i −0.498269 + 0.359605i
\(221\) 2.88376 3.66700i 0.193983 0.246669i
\(222\) −13.7490 + 4.54660i −0.922775 + 0.305148i
\(223\) −2.26456 + 0.325595i −0.151646 + 0.0218035i −0.217720 0.976011i \(-0.569862\pi\)
0.0660735 + 0.997815i \(0.478953\pi\)
\(224\) −27.9985 2.22571i −1.87073 0.148712i
\(225\) 8.79406 1.38655i 0.586271 0.0924367i
\(226\) −11.8183 + 11.3406i −0.786141 + 0.754363i
\(227\) 0.422346 + 8.86613i 0.0280321 + 0.588466i 0.968565 + 0.248762i \(0.0800238\pi\)
−0.940532 + 0.339704i \(0.889673\pi\)
\(228\) 0.660552 + 0.707721i 0.0437461 + 0.0468700i
\(229\) 2.40322 6.94366i 0.158810 0.458850i −0.837324 0.546708i \(-0.815881\pi\)
0.996133 + 0.0878578i \(0.0280021\pi\)
\(230\) 8.64203 12.2179i 0.569839 0.805627i
\(231\) −26.1270 + 8.54788i −1.71903 + 0.562409i
\(232\) −17.5592 1.50810i −1.15282 0.0990117i
\(233\) 5.78568 14.4519i 0.379033 0.946778i −0.609089 0.793102i \(-0.708465\pi\)
0.988121 0.153676i \(-0.0491111\pi\)
\(234\) 19.5499 + 18.0252i 1.27802 + 1.17834i
\(235\) −11.3729 2.75904i −0.741887 0.179980i
\(236\) −3.44660 2.18420i −0.224354 0.142179i
\(237\) 0.0634066 3.72747i 0.00411870 0.242125i
\(238\) −4.74710 + 2.18617i −0.307709 + 0.141708i
\(239\) 9.34980 16.1943i 0.604788 1.04752i −0.387297 0.921955i \(-0.626591\pi\)
0.992085 0.125569i \(-0.0400756\pi\)
\(240\) −6.07208 7.79016i −0.391951 0.502853i
\(241\) 4.96441 10.8706i 0.319786 0.700234i −0.679660 0.733528i \(-0.737872\pi\)
0.999446 + 0.0332939i \(0.0105997\pi\)
\(242\) 1.10486 + 0.0491160i 0.0710229 + 0.00315730i
\(243\) −15.3359 2.79455i −0.983800 0.179270i
\(244\) −9.66948 + 3.94249i −0.619025 + 0.252392i
\(245\) −9.35309 23.3629i −0.597547 1.49260i
\(246\) 1.13633 7.19524i 0.0724497 0.458752i
\(247\) 1.42680 1.01602i 0.0907852 0.0646478i
\(248\) 4.87433 + 6.70889i 0.309520 + 0.426015i
\(249\) −6.53893 9.52131i −0.414388 0.603389i
\(250\) −2.23563 + 15.9075i −0.141394 + 1.00608i
\(251\) 11.8096 + 6.08825i 0.745413 + 0.384287i 0.788702 0.614775i \(-0.210753\pi\)
−0.0432891 + 0.999063i \(0.513784\pi\)
\(252\) −10.3027 27.9523i −0.649007 1.76083i
\(253\) 22.7661 6.68474i 1.43129 0.420266i
\(254\) −18.9403 14.7978i −1.18842 0.928494i
\(255\) −1.69438 0.711999i −0.106106 0.0445871i
\(256\) 6.27492 14.7182i 0.392182 0.919887i
\(257\) 0.236303 2.47468i 0.0147402 0.154366i −0.985105 0.171953i \(-0.944992\pi\)
0.999845 + 0.0175868i \(0.00559834\pi\)
\(258\) −18.7350 + 7.20126i −1.16639 + 0.448331i
\(259\) 8.26983 28.1644i 0.513862 1.75005i
\(260\) −15.4196 + 9.03350i −0.956280 + 0.560234i
\(261\) −6.35322 17.5802i −0.393254 1.08819i
\(262\) 0.0626733 + 19.7426i 0.00387197 + 1.21970i
\(263\) −1.29807 2.84238i −0.0800426 0.175269i 0.865379 0.501117i \(-0.167077\pi\)
−0.945422 + 0.325848i \(0.894350\pi\)
\(264\) 0.117220 15.6594i 0.00721439 0.963771i
\(265\) −0.251980 + 1.75256i −0.0154790 + 0.107659i
\(266\) −1.94144 + 0.285431i −0.119037 + 0.0175009i
\(267\) 5.50128 26.1425i 0.336673 1.59989i
\(268\) 11.4321 11.7178i 0.698329 0.715777i
\(269\) 24.2806i 1.48041i 0.672380 + 0.740206i \(0.265272\pi\)
−0.672380 + 0.740206i \(0.734728\pi\)
\(270\) 4.80284 9.31043i 0.292291 0.566615i
\(271\) −19.2962 2.77437i −1.17216 0.168531i −0.471394 0.881923i \(-0.656249\pi\)
−0.700765 + 0.713392i \(0.747158\pi\)
\(272\) −0.320614 2.95992i −0.0194401 0.179471i
\(273\) −52.5899 + 11.8148i −3.18289 + 0.715066i
\(274\) 5.36668 0.0170367i 0.324213 0.00102922i
\(275\) −6.86534 + 6.54609i −0.413996 + 0.394744i
\(276\) 8.15045 + 24.3872i 0.490600 + 1.46794i
\(277\) −3.57024 1.04832i −0.214515 0.0629872i 0.172709 0.984973i \(-0.444748\pi\)
−0.387224 + 0.921986i \(0.626566\pi\)
\(278\) −5.09113 + 3.29476i −0.305346 + 0.197606i
\(279\) −4.29399 + 7.67632i −0.257074 + 0.459569i
\(280\) 19.9881 1.14303i 1.19452 0.0683093i
\(281\) −4.80575 + 24.9346i −0.286687 + 1.48747i 0.497780 + 0.867303i \(0.334149\pi\)
−0.784467 + 0.620171i \(0.787063\pi\)
\(282\) 15.3769 12.9561i 0.915682 0.771525i
\(283\) 0.327832 + 1.11649i 0.0194876 + 0.0663685i 0.968663 0.248380i \(-0.0798981\pi\)
−0.949175 + 0.314748i \(0.898080\pi\)
\(284\) −16.2198 + 15.6634i −0.962469 + 0.929450i
\(285\) −0.535099 0.435738i −0.0316965 0.0258109i
\(286\) −28.0580 3.94326i −1.65911 0.233170i
\(287\) 10.6863 + 10.1893i 0.630790 + 0.601457i
\(288\) 16.9632 0.499787i 0.999566 0.0294502i
\(289\) 9.53962 + 13.3965i 0.561154 + 0.788031i
\(290\) 12.5464 0.637585i 0.736751 0.0374403i
\(291\) −7.28632 + 1.27619i −0.427132 + 0.0748119i
\(292\) −30.2713 + 12.3424i −1.77150 + 0.722284i
\(293\) −15.0107 13.0069i −0.876935 0.759869i 0.0949106 0.995486i \(-0.469743\pi\)
−0.971846 + 0.235617i \(0.924289\pi\)
\(294\) 41.8750 + 10.7743i 2.44220 + 0.628368i
\(295\) 2.64574 + 1.20827i 0.154041 + 0.0703483i
\(296\) 13.7127 + 9.56929i 0.797036 + 0.556204i
\(297\) 15.1324 6.84814i 0.878069 0.397369i
\(298\) 5.28471 + 11.4754i 0.306135 + 0.664750i
\(299\) 45.6827 8.80461i 2.64190 0.509184i
\(300\) −7.36391 7.17289i −0.425156 0.414127i
\(301\) 9.59171 39.5376i 0.552857 2.27891i
\(302\) −7.01946 + 20.4916i −0.403925 + 1.17916i
\(303\) 10.4640 15.6891i 0.601143 0.901314i
\(304\) 0.197601 1.10025i 0.0113332 0.0631037i
\(305\) 6.44623 3.72173i 0.369110 0.213106i
\(306\) 2.70792 1.62452i 0.154802 0.0928674i
\(307\) 31.3624 + 10.8546i 1.78995 + 0.619507i 0.999980 + 0.00635696i \(0.00202350\pi\)
0.789967 + 0.613150i \(0.210098\pi\)
\(308\) 25.9730 + 18.2479i 1.47995 + 1.03977i
\(309\) 0.837187 + 0.134940i 0.0476259 + 0.00767649i
\(310\) −4.09272 4.26513i −0.232451 0.242243i
\(311\) −9.48122 + 6.09321i −0.537630 + 0.345514i −0.781112 0.624392i \(-0.785347\pi\)
0.243481 + 0.969906i \(0.421711\pi\)
\(312\) 3.14743 30.5435i 0.178188 1.72918i
\(313\) −2.42856 16.8910i −0.137270 0.954736i −0.935737 0.352698i \(-0.885264\pi\)
0.798467 0.602039i \(-0.205645\pi\)
\(314\) −5.86405 + 3.41048i −0.330928 + 0.192464i
\(315\) 9.98599 + 18.7407i 0.562647 + 1.05592i
\(316\) −3.49061 + 2.51920i −0.196362 + 0.141716i
\(317\) −14.1686 0.674935i −0.795789 0.0379081i −0.354251 0.935150i \(-0.615264\pi\)
−0.441538 + 0.897242i \(0.645567\pi\)
\(318\) −2.17247 2.12960i −0.121826 0.119422i
\(319\) 16.2245 + 11.5534i 0.908397 + 0.646866i
\(320\) −3.00418 + 11.0023i −0.167939 + 0.615047i
\(321\) 8.58313 + 8.46734i 0.479064 + 0.472601i
\(322\) −50.0555 14.5252i −2.78948 0.809457i
\(323\) −0.0680324 0.196567i −0.00378542 0.0109373i
\(324\) 8.02189 + 16.1136i 0.445660 + 0.895202i
\(325\) −14.6204 + 11.4976i −0.810994 + 0.637772i
\(326\) 14.6905 + 5.82715i 0.813632 + 0.322736i
\(327\) 1.43605 + 2.58799i 0.0794138 + 0.143116i
\(328\) −7.43924 + 3.92532i −0.410763 + 0.216739i
\(329\) 3.87426 + 40.5731i 0.213595 + 2.23687i
\(330\) 1.43560 + 11.0699i 0.0790273 + 0.609379i
\(331\) 1.07170 + 2.07882i 0.0589062 + 0.114262i 0.916451 0.400148i \(-0.131041\pi\)
−0.857544 + 0.514410i \(0.828011\pi\)
\(332\) −4.28210 + 12.6312i −0.235011 + 0.693228i
\(333\) −3.11970 + 17.4594i −0.170959 + 0.956767i
\(334\) 0.949229 10.2857i 0.0519395 0.562811i
\(335\) −6.93709 + 9.38349i −0.379013 + 0.512675i
\(336\) −18.7222 + 28.8580i −1.02138 + 1.57433i
\(337\) 7.26668 + 29.9537i 0.395841 + 1.63168i 0.725958 + 0.687739i \(0.241397\pi\)
−0.330116 + 0.943940i \(0.607088\pi\)
\(338\) −36.1507 8.64865i −1.96634 0.470425i
\(339\) 5.32348 + 19.3412i 0.289132 + 1.05047i
\(340\) 0.513416 + 2.05918i 0.0278439 + 0.111675i
\(341\) −0.890863 9.32954i −0.0482430 0.505223i
\(342\) 1.14740 0.298798i 0.0620441 0.0161572i
\(343\) −39.9709 + 34.6350i −2.15823 + 1.87011i
\(344\) 19.6156 + 12.3438i 1.05760 + 0.665535i
\(345\) −8.12043 16.4318i −0.437190 0.884656i
\(346\) 18.8478 + 3.57060i 1.01326 + 0.191957i
\(347\) 2.04598 + 5.91147i 0.109834 + 0.317345i 0.986501 0.163752i \(-0.0523598\pi\)
−0.876667 + 0.481097i \(0.840239\pi\)
\(348\) −11.8625 + 18.0328i −0.635897 + 0.966662i
\(349\) −15.8868 10.2098i −0.850401 0.546520i 0.0412985 0.999147i \(-0.486851\pi\)
−0.891700 + 0.452627i \(0.850487\pi\)
\(350\) 20.4482 4.00843i 1.09300 0.214260i
\(351\) 30.8129 10.5464i 1.64467 0.562923i
\(352\) −14.5612 + 10.7213i −0.776115 + 0.571448i
\(353\) 12.7927 + 0.609389i 0.680884 + 0.0324345i 0.385175 0.922843i \(-0.374141\pi\)
0.295709 + 0.955278i \(0.404444\pi\)
\(354\) −4.36208 + 2.43862i −0.231842 + 0.129611i
\(355\) 9.93553 12.6341i 0.527323 0.670546i
\(356\) −27.9783 + 12.9926i −1.48285 + 0.688604i
\(357\) −0.413267 + 6.38754i −0.0218724 + 0.338064i
\(358\) 2.37595 + 7.99773i 0.125573 + 0.422693i
\(359\) −11.2549 + 7.23307i −0.594010 + 0.381747i −0.802831 0.596207i \(-0.796674\pi\)
0.208821 + 0.977954i \(0.433037\pi\)
\(360\) −11.9308 + 1.99774i −0.628809 + 0.105290i
\(361\) 0.900340 + 18.9005i 0.0473863 + 0.994761i
\(362\) −1.39273 0.798209i −0.0732003 0.0419529i
\(363\) 0.697106 1.16135i 0.0365886 0.0609549i
\(364\) 47.2951 + 40.4586i 2.47894 + 2.12061i
\(365\) 20.1806 11.6513i 1.05630 0.609856i
\(366\) −1.39170 + 12.7132i −0.0727452 + 0.664532i
\(367\) −7.88698 + 19.7007i −0.411697 + 1.02837i 0.567120 + 0.823635i \(0.308057\pi\)
−0.978817 + 0.204735i \(0.934367\pi\)
\(368\) 16.9140 24.4023i 0.881702 1.27206i
\(369\) −7.08707 5.41919i −0.368938 0.282112i
\(370\) −10.6117 5.42813i −0.551675 0.282195i
\(371\) 6.05503 1.16701i 0.314361 0.0605882i
\(372\) 10.0679 1.33816i 0.521994 0.0693804i
\(373\) −6.80062 + 11.7790i −0.352123 + 0.609895i −0.986621 0.163030i \(-0.947873\pi\)
0.634498 + 0.772924i \(0.281207\pi\)
\(374\) −1.38803 + 3.06509i −0.0717736 + 0.158492i
\(375\) 15.8296 + 11.6830i 0.817438 + 0.603308i
\(376\) −22.6147 5.25874i −1.16627 0.271199i
\(377\) 29.5149 + 25.5748i 1.52009 + 1.31717i
\(378\) −36.1132 5.20160i −1.85746 0.267541i
\(379\) 2.70449 + 6.75550i 0.138920 + 0.347007i 0.981471 0.191611i \(-0.0613711\pi\)
−0.842551 + 0.538617i \(0.818947\pi\)
\(380\) −0.0328604 + 0.796148i −0.00168570 + 0.0408415i
\(381\) −26.9814 + 11.7716i −1.38230 + 0.603075i
\(382\) 10.9835 11.5927i 0.561966 0.593132i
\(383\) −4.51175 4.30194i −0.230540 0.219819i 0.566000 0.824405i \(-0.308490\pi\)
−0.796540 + 0.604586i \(0.793339\pi\)
\(384\) −12.1935 15.3401i −0.622248 0.782820i
\(385\) −20.1113 10.3681i −1.02497 0.528406i
\(386\) 20.1866 + 17.3799i 1.02747 + 0.884614i
\(387\) −3.16763 + 24.3773i −0.161020 + 1.23917i
\(388\) 6.21915 + 5.85501i 0.315729 + 0.297243i
\(389\) 1.17189 6.08037i 0.0594174 0.308287i −0.940046 0.341048i \(-0.889218\pi\)
0.999463 + 0.0327614i \(0.0104301\pi\)
\(390\) 0.738890 + 21.8747i 0.0374152 + 1.10767i
\(391\) 0.525166 5.49979i 0.0265588 0.278136i
\(392\) −18.9969 46.1726i −0.959489 2.33207i
\(393\) 21.3002 + 11.4437i 1.07446 + 0.577260i
\(394\) 17.3356 + 24.1817i 0.873357 + 1.21825i
\(395\) 2.22077 2.11750i 0.111739 0.106543i
\(396\) −16.7976 9.25674i −0.844112 0.465169i
\(397\) −6.70871 14.6900i −0.336701 0.737272i 0.663237 0.748409i \(-0.269182\pi\)
−0.999938 + 0.0111376i \(0.996455\pi\)
\(398\) −8.16290 + 3.29804i −0.409169 + 0.165316i
\(399\) −0.824567 + 2.25745i −0.0412800 + 0.113014i
\(400\) −1.53999 + 11.7699i −0.0769994 + 0.588497i
\(401\) 12.9954i 0.648960i −0.945892 0.324480i \(-0.894811\pi\)
0.945892 0.324480i \(-0.105189\pi\)
\(402\) −5.95492 19.1452i −0.297005 0.954876i
\(403\) 18.3762i 0.915384i
\(404\) −21.7442 + 1.17422i −1.08182 + 0.0584195i
\(405\) −7.22741 10.6015i −0.359133 0.526792i
\(406\) −16.3899 40.5663i −0.813417 2.01327i
\(407\) −7.85048 17.1902i −0.389134 0.852084i
\(408\) −3.37491 1.38051i −0.167083 0.0683455i
\(409\) −15.8447 + 15.1079i −0.783470 + 0.747038i −0.971988 0.235032i \(-0.924480\pi\)
0.188517 + 0.982070i \(0.439632\pi\)
\(410\) 4.87292 3.49335i 0.240656 0.172524i
\(411\) 3.11078 5.79011i 0.153444 0.285605i
\(412\) −0.454202 0.867461i −0.0223769 0.0427368i
\(413\) 0.962901 10.0840i 0.0473812 0.496199i
\(414\) 31.0185 + 5.44094i 1.52448 + 0.267408i
\(415\) 1.79922 9.33526i 0.0883204 0.458250i
\(416\) −30.4200 + 18.2128i −1.49146 + 0.892955i
\(417\) 0.580143 + 7.40446i 0.0284097 + 0.362598i
\(418\) −0.824281 + 0.957396i −0.0403169 + 0.0468277i
\(419\) 4.46176 + 2.30020i 0.217971 + 0.112372i 0.563754 0.825942i \(-0.309356\pi\)
−0.345783 + 0.938314i \(0.612387\pi\)
\(420\) 10.4233 22.1946i 0.508605 1.08299i
\(421\) −13.3284 12.7086i −0.649587 0.619380i 0.291892 0.956451i \(-0.405715\pi\)
−0.941479 + 0.337072i \(0.890564\pi\)
\(422\) −8.52927 8.08111i −0.415199 0.393382i
\(423\) −4.98859 24.1159i −0.242553 1.17256i
\(424\) −0.466788 + 3.48165i −0.0226692 + 0.169084i
\(425\) 0.820922 + 2.05056i 0.0398205 + 0.0994669i
\(426\) 7.41298 + 26.6023i 0.359160 + 1.28889i
\(427\) −19.5917 16.9763i −0.948110 0.821542i
\(428\) 1.89377 13.7926i 0.0915390 0.666689i
\(429\) −20.6068 + 27.9207i −0.994904 + 1.34802i
\(430\) −15.0493 6.81512i −0.725741 0.328654i
\(431\) −2.21554 + 3.83744i −0.106719 + 0.184843i −0.914439 0.404723i \(-0.867368\pi\)
0.807720 + 0.589566i \(0.200701\pi\)
\(432\) 9.35238 18.5616i 0.449967 0.893045i
\(433\) 17.7424 3.41957i 0.852646 0.164334i 0.255840 0.966719i \(-0.417648\pi\)
0.596806 + 0.802385i \(0.296436\pi\)
\(434\) −9.37534 + 18.3282i −0.450031 + 0.879784i
\(435\) 6.62869 13.8849i 0.317821 0.665728i
\(436\) 1.39995 3.11770i 0.0670456 0.149311i
\(437\) 0.770972 1.92580i 0.0368806 0.0921233i
\(438\) −4.35686 + 39.8001i −0.208179 + 1.90172i
\(439\) −13.9657 + 8.06308i −0.666545 + 0.384830i −0.794766 0.606916i \(-0.792407\pi\)
0.128221 + 0.991746i \(0.459073\pi\)
\(440\) 9.24343 8.98320i 0.440663 0.428257i
\(441\) 36.0203 38.8192i 1.71525 1.84854i
\(442\) −3.28055 + 5.72397i −0.156040 + 0.272262i
\(443\) −0.330907 6.94658i −0.0157218 0.330042i −0.993003 0.118093i \(-0.962322\pi\)
0.977281 0.211949i \(1.93202\pi\)
\(444\) 18.3020 9.18974i 0.868576 0.436126i
\(445\) 18.4982 11.8881i 0.876900 0.563549i
\(446\) 3.10154 0.921399i 0.146862 0.0436295i
\(447\) 15.4409 + 0.999007i 0.730328 + 0.0472514i
\(448\) 39.6326 2.64531i 1.87246 0.124979i
\(449\) −20.7888 + 26.4351i −0.981082 + 1.24755i −0.0122258 + 0.999925i \(0.503892\pi\)
−0.968857 + 0.247622i \(0.920351\pi\)
\(450\) −12.0192 + 3.74902i −0.566590 + 0.176730i
\(451\) 9.49532 + 0.452318i 0.447117 + 0.0212988i
\(452\) 14.2030 18.2985i 0.668053 0.860689i
\(453\) 17.9777 + 19.5083i 0.844665 + 0.916579i
\(454\) −2.41475 12.3184i −0.113330 0.578130i
\(455\) −37.3224 23.9856i −1.74970 1.12446i
\(456\) −1.06981 0.854345i −0.0500984 0.0400084i
\(457\) −4.29406 12.4069i −0.200868 0.580369i 0.798910 0.601451i \(-0.205410\pi\)
−0.999778 + 0.0210813i \(0.993289\pi\)
\(458\) −1.93417 + 10.2097i −0.0903779 + 0.477070i
\(459\) −0.170784 3.86376i −0.00797153 0.180345i
\(460\) −9.57839 + 18.8727i −0.446595 + 0.879946i
\(461\) −13.4940 + 11.6926i −0.628479 + 0.544580i −0.909807 0.415032i \(-0.863771\pi\)
0.281328 + 0.959612i \(0.409225\pi\)
\(462\) 34.7978 17.3344i 1.61894 0.806472i
\(463\) −1.92335 20.1422i −0.0893857 0.936090i −0.923270 0.384151i \(-0.874494\pi\)
0.833885 0.551939i \(1.81389\pi\)
\(464\) 24.8786 1.50195i 1.15496 0.0697264i
\(465\) −6.98008 + 1.92121i −0.323694 + 0.0890938i
\(466\) −5.12232 + 21.4109i −0.237287 + 0.991841i
\(467\) 4.12747 + 17.0136i 0.190996 + 0.787298i 0.984013 + 0.178097i \(0.0569942\pi\)
−0.793017 + 0.609200i \(0.791491\pi\)
\(468\) −31.0617 21.1988i −1.43583 0.979916i
\(469\) 38.7847 + 12.1426i 1.79091 + 0.560692i
\(470\) 16.4802 + 1.52089i 0.760176 + 0.0701535i
\(471\) 0.254118 + 8.30440i 0.0117092 + 0.382647i
\(472\) 5.27169 + 2.34709i 0.242649 + 0.108033i
\(473\) −12.0023 23.2811i −0.551864 1.07047i
\(474\) 0.678047 + 5.22842i 0.0311438 + 0.240149i
\(475\) 0.0788325 + 0.825572i 0.00361709 + 0.0378798i
\(476\) 6.19231 4.03534i 0.283824 0.184959i
\(477\) −3.56038 + 1.09816i −0.163018 + 0.0502813i
\(478\) −9.75071 + 24.5820i −0.445987 + 1.12435i
\(479\) 14.0298 11.0332i 0.641038 0.504118i −0.243916 0.969796i \(-0.578432\pi\)
0.884954 + 0.465679i \(0.154190\pi\)
\(480\) 10.0984 + 9.65072i 0.460926 + 0.440493i
\(481\) −12.1193 35.0163i −0.552591 1.59661i
\(482\) −4.70993 + 16.2310i −0.214532 + 0.739302i
\(483\) −44.8300 + 45.4431i −2.03984 + 2.06773i
\(484\) −1.55599 + 0.158554i −0.0707268 + 0.00720702i
\(485\) −4.95963 3.53173i −0.225205 0.160368i
\(486\) 22.0325 + 0.755361i 0.999413 + 0.0342639i
\(487\) 20.4160 + 0.972535i 0.925138 + 0.0440697i 0.504741 0.863271i \(-0.331588\pi\)
0.420397 + 0.907340i \(0.361891\pi\)
\(488\) 12.7183 7.50530i 0.575730 0.339749i
\(489\) 14.8417 12.4248i 0.671163 0.561867i
\(490\) 17.8925 + 30.7647i 0.808300 + 1.38981i
\(491\) −4.88031 33.9433i −0.220245 1.53184i −0.737110 0.675773i \(-0.763810\pi\)
0.516865 0.856067i \(1.67290\pi\)
\(492\) −0.109814 + 10.3011i −0.00495079 + 0.464411i
\(493\) 3.90154 2.50737i 0.175717 0.112926i
\(494\) −1.78734 + 1.71509i −0.0804162 + 0.0771656i
\(495\) 12.7599 + 4.90829i 0.573515 + 0.220611i
\(496\) −8.20009 8.38421i −0.368195 0.376462i
\(497\) −52.8984 18.3083i −2.37282 0.821241i
\(498\) 11.1077 + 11.9769i 0.497747 + 0.536696i
\(499\) 2.58319 1.49141i 0.115640 0.0667645i −0.441065 0.897475i \(-0.645399\pi\)
0.556704 + 0.830711i \(0.312066\pi\)
\(500\) −0.144234 22.7172i −0.00645036 1.01594i
\(501\) −10.5248 7.01964i −0.470212 0.313614i
\(502\) −17.7760 6.08922i −0.793382 0.271775i
\(503\) −5.43162 + 22.3895i −0.242184 + 0.998296i 0.712736 + 0.701433i \(0.247456\pi\)
−0.954920 + 0.296864i \(0.904059\pi\)
\(504\) 20.1652 + 36.9908i 0.898229 + 1.64770i
\(505\) 15.2417 2.93761i 0.678249 0.130722i
\(506\) −30.4787 + 14.0362i −1.35494 + 0.623987i
\(507\) −30.3933 + 33.8934i −1.34981 + 1.50526i
\(508\) 29.5448 + 16.8085i 1.31084 + 0.745756i
\(509\) 12.5793 + 5.74475i 0.557566 + 0.254632i 0.674207 0.738542i \(-0.264486\pi\)
−0.116641 + 0.993174i \(0.537213\pi\)
\(510\) 2.51719 + 0.647664i 0.111463 + 0.0286791i
\(511\) −61.3340 53.1462i −2.71326 2.35105i
\(512\) −5.75207 + 21.8841i −0.254208 + 0.967150i
\(513\) 0.347188 1.41002i 0.0153287 0.0622539i
\(514\) 0.178428 + 3.51111i 0.00787012 + 0.154869i
\(515\) 0.404865 + 0.568553i 0.0178405 + 0.0250534i
\(516\) 24.7321 13.9297i 1.08877 0.613221i
\(517\) 18.9908 + 18.1077i 0.835214 + 0.796375i
\(518\) −5.77731 + 41.1081i −0.253841 + 1.80619i
\(519\) 14.8352 18.2181i 0.651194 0.799686i
\(520\) 19.7164 15.8113i 0.864620 0.693372i
\(521\) 4.55114 + 15.4998i 0.199389 + 0.679057i 0.997106 + 0.0760249i \(0.0242228\pi\)
−0.797717 + 0.603032i \(0.793959\pi\)
\(522\) 12.5056 + 23.2908i 0.547356 + 1.01941i
\(523\) 0.889745 4.61643i 0.0389058 0.201863i −0.957275 0.289180i \(-0.906617\pi\)
0.996181 + 0.0873175i \(0.0278295\pi\)
\(524\) −4.14886 27.6104i −0.181244 1.20616i
\(525\) 7.60538 24.3609i 0.331926 1.06320i
\(526\) 2.40093 + 3.70996i 0.104685 + 0.161762i
\(527\) −2.09384 0.614806i −0.0912090 0.0267814i
\(528\) 3.05723 + 21.9344i 0.133049 + 0.954571i
\(529\) 23.2299 22.1496i 1.00999 0.963027i
\(530\) −0.00794893 2.50397i −0.000345279 0.108766i
\(531\) 0.0831271 + 6.12005i 0.00360741 + 0.265588i
\(532\) 2.65770 0.798734i 0.115226 0.0346295i
\(533\) 18.4494 + 2.65263i 0.799133 + 0.114898i
\(534\) −2.31958 + 37.7095i −0.100378 + 1.63185i
\(535\) 9.92382i 0.429044i
\(536\) −13.5851 + 18.7469i −0.586787 + 0.809741i
\(537\) 9.99928 + 2.10420i 0.431501 + 0.0908028i
\(538\) −4.99466 33.9727i −0.215335 1.46467i
\(539\) −8.03029 + 55.8519i −0.345889 + 2.40571i
\(540\) −4.80479 + 14.0149i −0.206765 + 0.603104i
\(541\) −11.7539 25.7374i −0.505339 1.10654i −0.974697 0.223529i \(-0.928242\pi\)
0.469359 0.883008i \(-0.344485\pi\)
\(542\) 27.5694 0.0875198i 1.18421 0.00375930i
\(543\) −1.67176 + 1.03463i −0.0717423 + 0.0444002i
\(544\) 1.05747 + 4.07548i 0.0453385 + 0.174735i
\(545\) −0.686334 + 2.33744i −0.0293993 + 0.100125i
\(546\) 71.1520 27.3491i 3.04503 1.17043i
\(547\) 2.88892 30.2541i 0.123521 1.29357i −0.694964 0.719044i \(-0.744580\pi\)
0.818485 0.574527i \(-0.194814\pi\)
\(548\) −7.50541 + 1.12780i −0.320615 + 0.0481771i
\(549\) 12.8813 + 8.91159i 0.549761 + 0.380337i
\(550\) 8.25923 10.5714i 0.352175 0.450764i
\(551\) 1.67080 0.490590i 0.0711784 0.0208999i
\(552\) −16.4205 32.4454i −0.698903 1.38097i
\(553\) −9.49873 4.89694i −0.403927 0.208239i
\(554\) 5.21103 + 0.732356i 0.221395 + 0.0311148i
\(555\) −12.0337 + 8.26433i −0.510801 + 0.350801i
\(556\) 6.44562 5.65721i 0.273355 0.239919i
\(557\) 19.1637 13.6464i 0.811993 0.578218i −0.0968773 0.995296i \(-0.530885\pi\)
0.908870 + 0.417079i \(0.136946\pi\)
\(558\) 4.42896 11.6238i 0.187493 0.492075i
\(559\) −19.0878 47.6790i −0.807327 2.01661i
\(560\) −27.7317 + 5.71098i −1.17188 + 0.241333i
\(561\) 2.49193 + 3.28213i 0.105209 + 0.138572i
\(562\) 1.59487 35.8764i 0.0672756 1.51335i
\(563\) 14.3922 31.5146i 0.606561 1.32818i −0.318341 0.947976i \(-0.603126\pi\)
0.924901 0.380207i \(-0.124147\pi\)
\(564\) −18.8498 + 21.2910i −0.793720 + 0.896511i
\(565\) −8.25577 + 14.2994i −0.347323 + 0.601581i
\(566\) −0.688362 1.49473i −0.0289340 0.0628281i
\(567\) −26.6588 + 35.8628i −1.11956 + 1.50609i
\(568\) 19.4723 25.2523i 0.817039 1.05956i
\(569\) −18.0303 4.37411i −0.755870 0.183372i −0.160735 0.986998i \(-0.551386\pi\)
−0.595135 + 0.803625i \(0.702902\pi\)
\(570\) 0.838330 + 0.499599i 0.0351138 + 0.0209259i
\(571\) −6.93140 + 17.3138i −0.290070 + 0.724560i 0.709728 + 0.704476i \(0.248818\pi\)
−0.999798 + 0.0200845i \(0.993606\pi\)
\(572\) 40.0692 0.254404i 1.67538 0.0106372i
\(573\) −6.08173 18.5891i −0.254068 0.776570i
\(574\) −17.0479 12.0584i −0.711568 0.503308i
\(575\) −7.20449 + 20.8160i −0.300448 + 0.868088i
\(576\) −23.6316 + 4.18873i −0.984652 + 0.174530i
\(577\) 1.35549 + 28.4553i 0.0564300 + 1.18461i 0.832522 + 0.553991i \(0.186896\pi\)
−0.776092 + 0.630619i \(0.782801\pi\)
\(578\) −16.1033 16.7817i −0.669810 0.698026i
\(579\) 30.4892 11.6083i 1.26709 0.482425i
\(580\) −17.4235 + 3.47297i −0.723470 + 0.144207i
\(581\) −32.7735 + 4.71212i −1.35967 + 0.195492i
\(582\) 9.93231 3.28446i 0.411707 0.136145i
\(583\) 2.45409 3.12063i 0.101638 0.129243i
\(584\) 39.8159 23.4961i 1.64760 0.972277i
\(585\) 23.9910 + 11.9586i 0.991905 + 0.494427i
\(586\) 23.6782 + 15.1110i 0.978137 + 0.624232i
\(587\) 11.6165 16.3131i 0.479466 0.673316i −0.502019 0.864857i \(-0.667409\pi\)
0.981485 + 0.191541i \(0.0613486\pi\)
\(588\) −60.8066 6.46113i −2.50762 0.266452i
\(589\) −0.689289 0.442979i −0.0284016 0.0182526i
\(590\) −3.95040 1.14633i −0.162636 0.0471938i
\(591\) 36.1527 4.57181i 1.48712 0.188059i
\(592\) −21.1549 10.5683i −0.869463 0.434355i
\(593\) 14.4885 + 18.4237i 0.594972 + 0.756569i 0.986529 0.163585i \(-0.0523059\pi\)
−0.391557 + 0.920154i \(0.628063\pi\)
\(594\) −19.7641 + 12.6946i −0.810930 + 0.520864i
\(595\) −3.98168 + 3.45014i −0.163233 + 0.141442i
\(596\) −9.75478 14.9689i −0.399571 0.613151i
\(597\) −1.20737 + 10.7148i −0.0494143 + 0.438528i
\(598\) −62.1068 + 21.7164i −2.53974 + 0.888049i
\(599\) −1.66823 + 0.860032i −0.0681620 + 0.0351400i −0.491971 0.870612i \(-0.663723\pi\)
0.423809 + 0.905752i \(0.360693\pi\)
\(600\) 11.7789 + 8.52130i 0.480871 + 0.347881i
\(601\) 2.15446 + 8.88080i 0.0878822 + 0.362255i 0.998724 0.0505001i \(-0.0160815\pi\)
−0.910842 + 0.412756i \(0.864566\pi\)
\(602\) −5.28733 + 57.2929i −0.215496 + 2.33509i
\(603\) −24.0924 4.74919i −0.981120 0.193402i
\(604\) 5.60618 30.1153i 0.228112 1.22537i
\(605\) 1.08345 0.262843i 0.0440486 0.0106861i
\(606\) −11.4136 + 24.1042i −0.463648 + 0.979168i
\(607\) 12.6178 + 24.4750i 0.512139 + 0.993411i 0.993167 + 0.116706i \(0.0372335\pi\)
−0.481027 + 0.876706i \(0.659736\pi\)
\(608\) −0.0501488 + 1.58009i −0.00203380 + 0.0640811i
\(609\) −53.2482 6.00012i −2.15773 0.243137i
\(610\) −8.25381 + 6.53338i −0.334187 + 0.264529i
\(611\) 33.6928 + 38.8836i 1.36306 + 1.57306i
\(612\) −3.45468 + 2.83001i −0.139647 + 0.114397i
\(613\) −23.2256 + 18.2648i −0.938074 + 0.737709i −0.965088 0.261926i \(-0.915642\pi\)
0.0270145 + 0.999635i \(0.491400\pi\)
\(614\) −46.1143 8.73606i −1.86102 0.352559i
\(615\) −0.921278 7.28523i −0.0371495 0.293769i
\(616\) −40.0944 20.1891i −1.61545 0.813443i
\(617\) −10.5756 + 16.4560i −0.425759 + 0.662494i −0.986173 0.165718i \(-0.947006\pi\)
0.560414 + 0.828213i \(0.310642\pi\)
\(618\) −1.19913 0.0165904i −0.0482360 0.000667362i
\(619\) −13.5959 9.68163i −0.546467 0.389137i 0.273218 0.961952i \(-0.411912\pi\)
−0.819685 + 0.572815i \(0.805851\pi\)
\(620\) 6.60379 + 5.12576i 0.265215 + 0.205855i
\(621\) 23.9460 30.2360i 0.960920 1.21333i
\(622\) 12.0124 10.4758i 0.481655 0.420041i
\(623\) −60.1970 47.3394i −2.41174 1.89661i
\(624\) 1.87918 + 43.3831i 0.0752275 + 1.73671i
\(625\) 0.192937 + 1.34191i 0.00771750 + 0.0536764i
\(626\) 6.87256 + 23.1339i 0.274683 + 0.924616i
\(627\) 0.550551 + 1.44602i 0.0219869 + 0.0577483i
\(628\) 7.50326 5.97812i 0.299413 0.238553i
\(629\) −4.39533 + 0.209376i −0.175253 + 0.00834835i
\(630\) −17.8272 24.1673i −0.710253 0.962850i
\(631\) −23.4647 8.12120i −0.934114 0.323300i −0.182728 0.983163i \(-0.558493\pi\)
−0.751386 + 0.659863i \(0.770614\pi\)
\(632\) 4.36575 4.24284i 0.173660 0.168771i
\(633\) −13.6769 + 4.47462i −0.543607 + 0.177850i
\(634\) 19.9632 1.97022i 0.792840 0.0782476i
\(635\) −22.4941 9.00526i −0.892649 0.357363i
\(636\) 3.47774 + 2.53279i 0.137901 + 0.100431i
\(637\) −26.0839 + 107.519i −1.03348 + 4.26008i
\(638\) −25.0775 12.8277i −0.992826 0.507855i
\(639\) 32.9742 + 7.52678i 1.30444 + 0.297755i
\(640\) 1.94012 16.0121i 0.0766899 0.632934i
\(641\) −21.6475 12.4982i −0.855023 0.493648i 0.00731916 0.999973i \(-0.497670\pi\)
−0.862343 + 0.506325i \(0.831004\pi\)
\(642\) −13.7511 10.0817i −0.542712 0.397892i
\(643\) 22.0114 + 10.0523i 0.868045 + 0.396423i 0.799100 0.601198i \(-0.205310\pi\)
0.0689446 + 0.997620i \(0.478037\pi\)
\(644\) 73.0242 + 10.0265i 2.87756 + 0.395100i
\(645\) −16.1150 + 12.2351i −0.634526 + 0.481758i
\(646\) 0.135624 + 0.261036i 0.00533606 + 0.0102703i
\(647\) 34.6642 13.8775i 1.36279 0.545580i 0.428970 0.903319i \(-0.358876\pi\)
0.933822 + 0.357739i \(0.116452\pi\)
\(648\) −14.5387 20.8956i −0.571133 0.820857i
\(649\) −3.78292 5.31237i −0.148493 0.208529i
\(650\) 18.0913 19.0946i 0.709600 0.748954i
\(651\) 14.2740 + 20.7843i 0.559441 + 0.814600i
\(652\) −21.7532 5.13126i −0.851922 0.200956i
\(653\) 7.26711 14.0962i 0.284384 0.551628i −0.702767 0.711421i \(-0.748052\pi\)
0.987151 + 0.159792i \(0.0510825\pi\)
\(654\) −2.54165 3.32565i −0.0993864 0.130043i
\(655\) 5.60707 + 19.0959i 0.219086 + 0.746139i
\(656\) 9.60132 7.02250i 0.374869 0.274182i
\(657\) 40.3263 + 27.8987i 1.57328 + 1.08843i
\(658\) −13.7669 55.9718i −0.536690 2.18201i
\(659\) −14.3009 1.36557i −0.557083 0.0531950i −0.187283 0.982306i \(-0.559968\pi\)
−0.369801 + 0.929111i \(0.620574\pi\)
\(660\) −4.28581 15.1934i −0.166825 0.591403i
\(661\) 23.2151 + 6.81658i 0.902964 + 0.265134i 0.700077 0.714068i \(-0.253149\pi\)
0.202888 + 0.979202i \(0.434967\pi\)
\(662\) −1.92712 2.68817i −0.0748998 0.104479i
\(663\) 4.25222 + 6.87077i 0.165142 + 0.266839i
\(664\) 3.39308 18.5541i 0.131677 0.720039i
\(665\) −1.79940 + 0.821757i −0.0697776 + 0.0318664i
\(666\) 0.773503 25.0704i 0.0299726 0.971458i
\(667\) 45.7803 + 6.58221i 1.77262 + 0.254864i
\(668\) 0.787706 + 14.5868i 0.0304773 + 0.564380i
\(669\) 0.816012 3.87775i 0.0315489 0.149922i
\(670\) 7.77594 14.5561i 0.300411 0.562352i
\(671\) −16.6897 −0.644300
\(672\) 20.2593 44.2286i 0.781520 1.70616i
\(673\) 5.07200 35.2765i 0.195511 1.35981i −0.621602 0.783333i \(-0.713518\pi\)
0.817113 0.576477i \(-0.195573\pi\)
\(674\) −16.3290 40.4155i −0.628969 1.55675i
\(675\) −2.97011 + 15.1312i −0.114320 + 0.582400i
\(676\) 52.3602 + 4.66452i 2.01385 + 0.179405i
\(677\) 30.3802 + 31.8618i 1.16761 + 1.22455i 0.969692 + 0.244331i \(0.0785682\pi\)
0.197914 + 0.980219i \(0.436583\pi\)
\(678\) −11.4271 25.9666i −0.438854 0.997240i
\(679\) −5.97412 + 20.3460i −0.229266 + 0.780807i
\(680\) −1.14194 2.77554i −0.0437916 0.106437i
\(681\) −14.6754 4.58162i −0.562364 0.175568i
\(682\) 3.16562 + 12.8704i 0.121218 + 0.492833i
\(683\) −0.310505 0.0598449i −0.0118811 0.00228990i 0.183307 0.983056i \(-0.441320\pi\)
−0.195188 + 0.980766i \(0.562532\pi\)
\(684\) −1.54394 + 0.654097i −0.0590341 + 0.0250100i
\(685\) 5.19090 1.52419i 0.198334 0.0582362i
\(686\) 48.8016 56.6826i 1.86325 2.16415i
\(687\) 9.86863 + 8.03615i 0.376512 + 0.306598i
\(688\) −29.9849 13.2361i −1.14316 0.504622i
\(689\) 5.37173 5.63371i 0.204646 0.214627i
\(690\) 14.7420 + 21.3205i 0.561219 + 0.811656i
\(691\) −6.66297 + 4.74468i −0.253471 + 0.180496i −0.699729 0.714408i \(-0.746696\pi\)
0.446258 + 0.894905i \(0.352757\pi\)
\(692\) −27.1058 1.11877i −1.03041 0.0425294i
\(693\) 1.61941 47.5861i 0.0615162 1.80765i
\(694\) −4.07871 7.85030i −0.154826 0.297993i
\(695\) −4.00330 + 4.62006i −0.151854 + 0.175249i
\(696\) 12.8882 27.6712i 0.488527 1.04888i
\(697\) 0.919505 2.01343i 0.0348287 0.0762643i
\(698\) 24.3286 + 11.0173i 0.920852 + 0.417011i
\(699\) 20.0739 + 18.0010i 0.759266 + 0.680859i
\(700\) −27.7860 + 9.81482i −1.05021 + 0.370965i
\(701\) −3.84616 19.9558i −0.145267 0.753719i −0.979365 0.202102i \(-0.935223\pi\)
0.834097 0.551618i \(-0.185989\pi\)
\(702\) −40.9432 + 21.0946i −1.54530 + 0.796164i
\(703\) −1.60561 0.389516i −0.0605566 0.0146909i
\(704\) 18.1682 17.9963i 0.684740 0.678261i
\(705\) 11.2471 16.8632i 0.423592 0.635106i
\(706\) −18.0245 + 1.77889i −0.678361 + 0.0669494i
\(707\) −27.0299 46.8171i −1.01656 1.76074i
\(708\) 5.60167 4.30936i 0.210524 0.161956i
\(709\) 4.14651 11.9805i 0.155725 0.449939i −0.839969 0.542634i \(-0.817427\pi\)
0.995695 + 0.0926953i \(0.0295482\pi\)
\(710\) −11.3026 + 19.7210i −0.424180 + 0.740117i
\(711\) 6.02661 + 2.31823i 0.226015 + 0.0869403i
\(712\) 36.4738 23.9341i 1.36691 0.896970i
\(713\) −11.7658 18.3080i −0.440634 0.685640i
\(714\) −0.735725 9.02228i −0.0275338 0.337650i
\(715\) −28.2718 + 4.06488i −1.05731 + 0.152018i
\(716\) −4.96955 10.7015i −0.185721 0.399932i
\(717\) 20.7907 + 24.8349i 0.776442 + 0.927477i
\(718\) 14.2596 12.4355i 0.532165 0.464089i
\(719\) 1.59587 33.5015i 0.0595160 1.24939i −0.749658 0.661825i \(-0.769782\pi\)
0.809174 0.587569i \(-0.199915\pi\)
\(720\) 16.2823 5.24943i 0.606806 0.195635i
\(721\) 1.41003 1.98012i 0.0525124 0.0737434i
\(722\) −5.14768 26.2598i −0.191577 0.977289i
\(723\) 14.7354 + 14.5366i 0.548014 + 0.540621i
\(724\) 2.11287 + 0.830339i 0.0785241 + 0.0308593i
\(725\) −17.4739 + 6.04777i −0.648964 + 0.224609i
\(726\) −0.736475 + 1.76832i −0.0273332 + 0.0656287i
\(727\) −13.0952 16.6518i −0.485672 0.617583i 0.480024 0.877255i \(-0.340628\pi\)
−0.965697 + 0.259672i \(0.916385\pi\)
\(728\) −74.4966 46.8796i −2.76103 1.73748i
\(729\) 13.6600 23.2896i 0.505924 0.862578i
\(730\) −25.8394 + 20.4534i −0.956360 + 0.757016i
\(731\) −6.07130 + 0.579739i −0.224555 + 0.0214424i
\(732\) −0.667967 18.0743i −0.0246888 0.668045i
\(733\) −11.5543 + 5.95664i −0.426767 + 0.220014i −0.658209 0.752835i \(-0.728686\pi\)
0.231442 + 0.972849i \(0.425655\pi\)
\(734\) 6.98269 29.1871i 0.257736 1.07732i
\(735\) 43.5676 1.33319i 1.60702 0.0491754i
\(736\) −18.6459 + 37.6224i −0.687296 + 1.38678i
\(737\) 23.9903 10.4437i 0.883693 0.384699i
\(738\) 11.0308 + 6.12453i 0.406049 + 0.225447i
\(739\) 5.68305 1.37869i 0.209054 0.0507161i −0.129864 0.991532i \(-0.541454\pi\)
0.338918 + 0.940816i \(0.389939\pi\)
\(740\) 15.9642 + 5.41200i 0.586855 + 0.198949i
\(741\) 0.805098 + 2.92506i 0.0295760 + 0.107455i
\(742\) −8.23197 + 2.87841i −0.302205 + 0.105670i
\(743\) 21.9211 2.09321i 0.804208 0.0767925i 0.315148 0.949043i \(-0.397946\pi\)
0.489060 + 0.872250i \(0.337340\pi\)
\(744\) −13.8114 + 3.94334i −0.506351 + 0.144570i
\(745\) 8.34017 + 9.62507i 0.305560 + 0.352635i
\(746\) 7.09223 17.8798i 0.259665 0.654627i
\(747\) 19.3762 4.98020i 0.708937 0.182216i
\(748\) 1.31159 4.57411i 0.0479566 0.167246i
\(749\) 32.6611 11.3041i 1.19341 0.413043i