Properties

Label 546.2.bu.b.71.1
Level $546$
Weight $2$
Character 546.71
Analytic conductor $4.360$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bu (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 71.1
Character \(\chi\) \(=\) 546.71
Dual form 546.2.bu.b.323.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.965926 + 0.258819i) q^{2} +(-1.67137 + 0.454432i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-0.359298 - 0.359298i) q^{5} +(1.49681 - 0.871531i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(2.58698 - 1.51905i) q^{9} +O(q^{10})\) \(q+(-0.965926 + 0.258819i) q^{2} +(-1.67137 + 0.454432i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-0.359298 - 0.359298i) q^{5} +(1.49681 - 0.871531i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(2.58698 - 1.51905i) q^{9} +(0.440048 + 0.254062i) q^{10} +(-0.529024 - 1.97435i) q^{11} +(-1.22024 + 1.22924i) q^{12} +(-0.322715 + 3.59108i) q^{13} -1.00000i q^{14} +(0.763798 + 0.437245i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-0.334378 - 0.579160i) q^{17} +(-2.10567 + 2.13685i) q^{18} +(3.11361 + 0.834289i) q^{19} +(-0.490810 - 0.131512i) q^{20} +(-0.00636431 - 1.73204i) q^{21} +(1.02200 + 1.77015i) q^{22} +(-3.54554 + 6.14106i) q^{23} +(0.860508 - 1.50317i) q^{24} -4.74181i q^{25} +(-0.617721 - 3.55224i) q^{26} +(-3.63351 + 3.71451i) q^{27} +(0.258819 + 0.965926i) q^{28} +(-2.59550 - 1.49852i) q^{29} +(-0.850939 - 0.224661i) q^{30} +(-4.15805 + 4.15805i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(1.78140 + 3.05947i) q^{33} +(0.472882 + 0.472882i) q^{34} +(0.440048 - 0.254062i) q^{35} +(1.48087 - 2.60903i) q^{36} +(-4.74608 + 1.27171i) q^{37} -3.22345 q^{38} +(-1.09253 - 6.14869i) q^{39} +0.508124 q^{40} +(-5.56092 + 1.49004i) q^{41} +(0.454432 + 1.67137i) q^{42} +(-4.09318 + 2.36320i) q^{43} +(-1.44532 - 1.44532i) q^{44} +(-1.47529 - 0.383705i) q^{45} +(1.83531 - 6.84946i) q^{46} +(-9.15457 + 9.15457i) q^{47} +(-0.442137 + 1.67467i) q^{48} +(-0.866025 - 0.500000i) q^{49} +(1.22727 + 4.58024i) q^{50} +(0.822060 + 0.816040i) q^{51} +(1.51606 + 3.27132i) q^{52} -2.70226i q^{53} +(2.54831 - 4.52837i) q^{54} +(-0.519301 + 0.899456i) q^{55} +(-0.500000 - 0.866025i) q^{56} +(-5.58313 + 0.0205150i) q^{57} +(2.89491 + 0.775689i) q^{58} +(1.53497 + 0.411293i) q^{59} +(0.880090 - 0.00323386i) q^{60} +(1.05918 + 1.83455i) q^{61} +(2.94019 - 5.09255i) q^{62} +(0.797731 + 2.89199i) q^{63} -1.00000i q^{64} +(1.40622 - 1.17432i) q^{65} +(-2.51255 - 2.49416i) q^{66} +(-3.55109 - 13.2528i) q^{67} +(-0.579160 - 0.334378i) q^{68} +(3.13523 - 11.8752i) q^{69} +(-0.359298 + 0.359298i) q^{70} +(-3.72928 + 13.9179i) q^{71} +(-0.755141 + 2.90341i) q^{72} +(2.50310 + 2.50310i) q^{73} +(4.25522 - 2.45675i) q^{74} +(2.15483 + 7.92534i) q^{75} +(3.11361 - 0.834289i) q^{76} +2.04399 q^{77} +(2.64670 + 5.65641i) q^{78} -14.0833 q^{79} +(-0.490810 + 0.131512i) q^{80} +(4.38496 - 7.85952i) q^{81} +(4.98579 - 2.87854i) q^{82} +(-2.91896 - 2.91896i) q^{83} +(-0.871531 - 1.49681i) q^{84} +(-0.0879495 + 0.328232i) q^{85} +(3.34207 - 3.34207i) q^{86} +(5.01903 + 1.32510i) q^{87} +(1.77015 + 1.02200i) q^{88} +(3.28237 + 12.2500i) q^{89} +(1.52433 - 0.0112023i) q^{90} +(-3.38519 - 1.24116i) q^{91} +7.09109i q^{92} +(5.06011 - 8.83921i) q^{93} +(6.47326 - 11.2120i) q^{94} +(-0.818955 - 1.41847i) q^{95} +(-0.00636431 - 1.73204i) q^{96} +(16.9769 + 4.54895i) q^{97} +(0.965926 + 0.258819i) q^{98} +(-4.36771 - 4.30398i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q + 8q^{6} - 24q^{9} + O(q^{10}) \) \( 56q + 8q^{6} - 24q^{9} + 24q^{10} + 8q^{11} + 24q^{13} + 4q^{15} + 28q^{16} - 4q^{17} - 8q^{18} + 8q^{19} + 4q^{21} - 8q^{23} - 8q^{24} - 4q^{26} - 24q^{27} - 8q^{30} - 8q^{31} + 8q^{33} - 24q^{34} + 24q^{35} - 12q^{36} - 8q^{37} - 20q^{39} - 28q^{41} + 8q^{44} + 72q^{45} - 20q^{46} + 64q^{50} + 16q^{54} + 8q^{55} - 28q^{56} + 4q^{58} - 8q^{59} + 20q^{60} + 8q^{61} - 32q^{62} - 16q^{63} - 24q^{65} + 32q^{66} - 16q^{69} - 112q^{71} + 8q^{73} + 48q^{74} + 40q^{75} + 8q^{76} + 16q^{79} + 12q^{81} - 4q^{83} - 4q^{84} + 32q^{85} - 16q^{86} - 144q^{87} + 88q^{89} - 8q^{90} - 8q^{91} + 52q^{93} - 8q^{94} - 48q^{95} + 4q^{96} - 64q^{97} + 56q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.965926 + 0.258819i −0.683013 + 0.183013i
\(3\) −1.67137 + 0.454432i −0.964968 + 0.262367i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) −0.359298 0.359298i −0.160683 0.160683i 0.622186 0.782869i \(-0.286245\pi\)
−0.782869 + 0.622186i \(0.786245\pi\)
\(6\) 1.49681 0.871531i 0.611069 0.355801i
\(7\) −0.258819 + 0.965926i −0.0978244 + 0.365086i
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) 2.58698 1.51905i 0.862328 0.506351i
\(10\) 0.440048 + 0.254062i 0.139155 + 0.0803414i
\(11\) −0.529024 1.97435i −0.159507 0.595288i −0.998677 0.0514190i \(-0.983626\pi\)
0.839170 0.543869i \(-0.183041\pi\)
\(12\) −1.22024 + 1.22924i −0.352252 + 0.354850i
\(13\) −0.322715 + 3.59108i −0.0895050 + 0.995986i
\(14\) 1.00000i 0.267261i
\(15\) 0.763798 + 0.437245i 0.197212 + 0.112896i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) −0.334378 0.579160i −0.0810986 0.140467i 0.822623 0.568586i \(-0.192510\pi\)
−0.903722 + 0.428120i \(0.859176\pi\)
\(18\) −2.10567 + 2.13685i −0.496312 + 0.503661i
\(19\) 3.11361 + 0.834289i 0.714311 + 0.191399i 0.597632 0.801771i \(-0.296108\pi\)
0.116679 + 0.993170i \(0.462775\pi\)
\(20\) −0.490810 0.131512i −0.109748 0.0294070i
\(21\) −0.00636431 1.73204i −0.00138881 0.377962i
\(22\) 1.02200 + 1.77015i 0.217890 + 0.377397i
\(23\) −3.54554 + 6.14106i −0.739297 + 1.28050i 0.213515 + 0.976940i \(0.431509\pi\)
−0.952812 + 0.303560i \(0.901825\pi\)
\(24\) 0.860508 1.50317i 0.175650 0.306834i
\(25\) 4.74181i 0.948362i
\(26\) −0.617721 3.55224i −0.121145 0.696652i
\(27\) −3.63351 + 3.71451i −0.699269 + 0.714858i
\(28\) 0.258819 + 0.965926i 0.0489122 + 0.182543i
\(29\) −2.59550 1.49852i −0.481973 0.278267i 0.239265 0.970954i \(-0.423093\pi\)
−0.721238 + 0.692687i \(0.756427\pi\)
\(30\) −0.850939 0.224661i −0.155360 0.0410172i
\(31\) −4.15805 + 4.15805i −0.746808 + 0.746808i −0.973878 0.227070i \(-0.927085\pi\)
0.227070 + 0.973878i \(0.427085\pi\)
\(32\) −0.258819 + 0.965926i −0.0457532 + 0.170753i
\(33\) 1.78140 + 3.05947i 0.310103 + 0.532585i
\(34\) 0.472882 + 0.472882i 0.0810986 + 0.0810986i
\(35\) 0.440048 0.254062i 0.0743817 0.0429443i
\(36\) 1.48087 2.60903i 0.246811 0.434838i
\(37\) −4.74608 + 1.27171i −0.780250 + 0.209067i −0.626895 0.779104i \(-0.715675\pi\)
−0.153355 + 0.988171i \(0.549008\pi\)
\(38\) −3.22345 −0.522912
\(39\) −1.09253 6.14869i −0.174944 0.984578i
\(40\) 0.508124 0.0803414
\(41\) −5.56092 + 1.49004i −0.868470 + 0.232706i −0.665426 0.746464i \(-0.731750\pi\)
−0.203044 + 0.979170i \(0.565083\pi\)
\(42\) 0.454432 + 1.67137i 0.0701204 + 0.257899i
\(43\) −4.09318 + 2.36320i −0.624205 + 0.360385i −0.778504 0.627639i \(-0.784021\pi\)
0.154300 + 0.988024i \(0.450688\pi\)
\(44\) −1.44532 1.44532i −0.217890 0.217890i
\(45\) −1.47529 0.383705i −0.219923 0.0571994i
\(46\) 1.83531 6.84946i 0.270601 1.00990i
\(47\) −9.15457 + 9.15457i −1.33533 + 1.33533i −0.434807 + 0.900524i \(0.643184\pi\)
−0.900524 + 0.434807i \(0.856816\pi\)
\(48\) −0.442137 + 1.67467i −0.0638170 + 0.241718i
\(49\) −0.866025 0.500000i −0.123718 0.0714286i
\(50\) 1.22727 + 4.58024i 0.173562 + 0.647743i
\(51\) 0.822060 + 0.816040i 0.115111 + 0.114269i
\(52\) 1.51606 + 3.27132i 0.210240 + 0.453651i
\(53\) 2.70226i 0.371184i −0.982627 0.185592i \(-0.940580\pi\)
0.982627 0.185592i \(-0.0594202\pi\)
\(54\) 2.54831 4.52837i 0.346782 0.616232i
\(55\) −0.519301 + 0.899456i −0.0700225 + 0.121283i
\(56\) −0.500000 0.866025i −0.0668153 0.115728i
\(57\) −5.58313 + 0.0205150i −0.739504 + 0.00271728i
\(58\) 2.89491 + 0.775689i 0.380120 + 0.101853i
\(59\) 1.53497 + 0.411293i 0.199836 + 0.0535458i 0.357348 0.933971i \(-0.383681\pi\)
−0.157513 + 0.987517i \(0.550348\pi\)
\(60\) 0.880090 0.00323386i 0.113619 0.000417489i
\(61\) 1.05918 + 1.83455i 0.135614 + 0.234890i 0.925832 0.377936i \(-0.123366\pi\)
−0.790218 + 0.612826i \(0.790033\pi\)
\(62\) 2.94019 5.09255i 0.373404 0.646755i
\(63\) 0.797731 + 2.89199i 0.100505 + 0.364357i
\(64\) 1.00000i 0.125000i
\(65\) 1.40622 1.17432i 0.174420 0.145656i
\(66\) −2.51255 2.49416i −0.309274 0.307009i
\(67\) −3.55109 13.2528i −0.433834 1.61909i −0.743840 0.668357i \(-0.766998\pi\)
0.310006 0.950735i \(-0.399669\pi\)
\(68\) −0.579160 0.334378i −0.0702334 0.0405493i
\(69\) 3.13523 11.8752i 0.377438 1.42961i
\(70\) −0.359298 + 0.359298i −0.0429443 + 0.0429443i
\(71\) −3.72928 + 13.9179i −0.442585 + 1.65175i 0.279652 + 0.960102i \(0.409781\pi\)
−0.722236 + 0.691647i \(0.756886\pi\)
\(72\) −0.755141 + 2.90341i −0.0889942 + 0.342170i
\(73\) 2.50310 + 2.50310i 0.292965 + 0.292965i 0.838251 0.545285i \(-0.183579\pi\)
−0.545285 + 0.838251i \(0.683579\pi\)
\(74\) 4.25522 2.45675i 0.494659 0.285591i
\(75\) 2.15483 + 7.92534i 0.248818 + 0.915139i
\(76\) 3.11361 0.834289i 0.357155 0.0956995i
\(77\) 2.04399 0.232935
\(78\) 2.64670 + 5.65641i 0.299679 + 0.640463i
\(79\) −14.0833 −1.58450 −0.792248 0.610200i \(-0.791089\pi\)
−0.792248 + 0.610200i \(0.791089\pi\)
\(80\) −0.490810 + 0.131512i −0.0548742 + 0.0147035i
\(81\) 4.38496 7.85952i 0.487218 0.873280i
\(82\) 4.98579 2.87854i 0.550588 0.317882i
\(83\) −2.91896 2.91896i −0.320398 0.320398i 0.528522 0.848920i \(-0.322746\pi\)
−0.848920 + 0.528522i \(0.822746\pi\)
\(84\) −0.871531 1.49681i −0.0950919 0.163315i
\(85\) −0.0879495 + 0.328232i −0.00953947 + 0.0356018i
\(86\) 3.34207 3.34207i 0.360385 0.360385i
\(87\) 5.01903 + 1.32510i 0.538097 + 0.142066i
\(88\) 1.77015 + 1.02200i 0.188699 + 0.108945i
\(89\) 3.28237 + 12.2500i 0.347930 + 1.29849i 0.889151 + 0.457614i \(0.151296\pi\)
−0.541221 + 0.840881i \(0.682038\pi\)
\(90\) 1.52433 0.0112023i 0.160679 0.00118083i
\(91\) −3.38519 1.24116i −0.354865 0.130109i
\(92\) 7.09109i 0.739297i
\(93\) 5.06011 8.83921i 0.524709 0.916584i
\(94\) 6.47326 11.2120i 0.667665 1.15643i
\(95\) −0.818955 1.41847i −0.0840230 0.145532i
\(96\) −0.00636431 1.73204i −0.000649554 0.176776i
\(97\) 16.9769 + 4.54895i 1.72374 + 0.461876i 0.978727 0.205169i \(-0.0657744\pi\)
0.745018 + 0.667045i \(0.232441\pi\)
\(98\) 0.965926 + 0.258819i 0.0975732 + 0.0261447i
\(99\) −4.36771 4.30398i −0.438972 0.432567i
\(100\) −2.37091 4.10653i −0.237091 0.410653i
\(101\) 2.35547 4.07980i 0.234378 0.405955i −0.724713 0.689050i \(-0.758028\pi\)
0.959092 + 0.283095i \(0.0913612\pi\)
\(102\) −1.00526 0.575470i −0.0995351 0.0569800i
\(103\) 0.191339i 0.0188532i −0.999956 0.00942662i \(-0.996999\pi\)
0.999956 0.00942662i \(-0.00300063\pi\)
\(104\) −2.31108 2.76747i −0.226620 0.271373i
\(105\) −0.620031 + 0.624605i −0.0605089 + 0.0609552i
\(106\) 0.699396 + 2.61018i 0.0679313 + 0.253523i
\(107\) 9.11400 + 5.26197i 0.881084 + 0.508694i 0.871016 0.491255i \(-0.163462\pi\)
0.0100681 + 0.999949i \(0.496795\pi\)
\(108\) −1.28946 + 5.03362i −0.124078 + 0.484360i
\(109\) 0.435226 0.435226i 0.0416871 0.0416871i −0.685956 0.727643i \(-0.740616\pi\)
0.727643 + 0.685956i \(0.240616\pi\)
\(110\) 0.268810 1.00321i 0.0256300 0.0956526i
\(111\) 7.35456 4.28227i 0.698064 0.406455i
\(112\) 0.707107 + 0.707107i 0.0668153 + 0.0668153i
\(113\) 4.97841 2.87429i 0.468330 0.270390i −0.247211 0.968962i \(-0.579514\pi\)
0.715540 + 0.698572i \(0.246181\pi\)
\(114\) 5.38758 1.46484i 0.504593 0.137195i
\(115\) 3.48038 0.932564i 0.324547 0.0869620i
\(116\) −2.99703 −0.278267
\(117\) 4.62018 + 9.78028i 0.427136 + 0.904187i
\(118\) −1.58911 −0.146290
\(119\) 0.645969 0.173087i 0.0592159 0.0158668i
\(120\) −0.849265 + 0.230908i −0.0775269 + 0.0210789i
\(121\) 5.90810 3.41105i 0.537100 0.310095i
\(122\) −1.49790 1.49790i −0.135614 0.135614i
\(123\) 8.61726 5.01748i 0.776992 0.452411i
\(124\) −1.52195 + 5.68001i −0.136675 + 0.510080i
\(125\) −3.50021 + 3.50021i −0.313068 + 0.313068i
\(126\) −1.51905 2.58698i −0.135328 0.230467i
\(127\) 19.0710 + 11.0106i 1.69228 + 0.977036i 0.952676 + 0.303988i \(0.0983184\pi\)
0.739599 + 0.673047i \(0.235015\pi\)
\(128\) 0.258819 + 0.965926i 0.0228766 + 0.0853766i
\(129\) 5.76733 5.80987i 0.507785 0.511530i
\(130\) −1.05437 + 1.49826i −0.0924741 + 0.131406i
\(131\) 5.16099i 0.450918i 0.974253 + 0.225459i \(0.0723882\pi\)
−0.974253 + 0.225459i \(0.927612\pi\)
\(132\) 3.07247 + 1.75887i 0.267425 + 0.153090i
\(133\) −1.61172 + 2.79159i −0.139754 + 0.242061i
\(134\) 6.86017 + 11.8822i 0.592629 + 1.02646i
\(135\) 2.64013 0.0291042i 0.227226 0.00250489i
\(136\) 0.645969 + 0.173087i 0.0553914 + 0.0148421i
\(137\) −4.58404 1.22829i −0.391641 0.104940i 0.0576244 0.998338i \(-0.481647\pi\)
−0.449265 + 0.893399i \(0.648314\pi\)
\(138\) 0.0451299 + 12.2820i 0.00384171 + 1.04552i
\(139\) −4.84605 8.39360i −0.411036 0.711936i 0.583967 0.811777i \(-0.301500\pi\)
−0.995003 + 0.0998417i \(0.968166\pi\)
\(140\) 0.254062 0.440048i 0.0214722 0.0371909i
\(141\) 11.1406 19.4608i 0.938206 1.63890i
\(142\) 14.4088i 1.20916i
\(143\) 7.26076 1.26262i 0.607175 0.105585i
\(144\) −0.0220465 2.99992i −0.00183720 0.249993i
\(145\) 0.394146 + 1.47097i 0.0327320 + 0.122158i
\(146\) −3.06566 1.76996i −0.253716 0.146483i
\(147\) 1.67467 + 0.442137i 0.138124 + 0.0364669i
\(148\) −3.47437 + 3.47437i −0.285591 + 0.285591i
\(149\) 3.08364 11.5083i 0.252622 0.942798i −0.716776 0.697303i \(-0.754383\pi\)
0.969398 0.245494i \(-0.0789503\pi\)
\(150\) −4.13264 7.09758i −0.337428 0.579515i
\(151\) −7.88429 7.88429i −0.641615 0.641615i 0.309338 0.950952i \(-0.399893\pi\)
−0.950952 + 0.309338i \(0.899893\pi\)
\(152\) −2.79159 + 1.61172i −0.226427 + 0.130728i
\(153\) −1.74480 0.990339i −0.141059 0.0800641i
\(154\) −1.97435 + 0.529024i −0.159097 + 0.0426300i
\(155\) 2.98796 0.239999
\(156\) −4.02050 4.77866i −0.321898 0.382599i
\(157\) −16.4126 −1.30987 −0.654936 0.755684i \(-0.727304\pi\)
−0.654936 + 0.755684i \(0.727304\pi\)
\(158\) 13.6034 3.64503i 1.08223 0.289983i
\(159\) 1.22799 + 4.51648i 0.0973861 + 0.358180i
\(160\) 0.440048 0.254062i 0.0347889 0.0200854i
\(161\) −5.01416 5.01416i −0.395171 0.395171i
\(162\) −2.20135 + 8.72663i −0.172955 + 0.685629i
\(163\) −2.79695 + 10.4384i −0.219074 + 0.817595i 0.765619 + 0.643295i \(0.222433\pi\)
−0.984693 + 0.174300i \(0.944234\pi\)
\(164\) −4.07088 + 4.07088i −0.317882 + 0.317882i
\(165\) 0.459205 1.73931i 0.0357490 0.135405i
\(166\) 3.57498 + 2.06402i 0.277473 + 0.160199i
\(167\) 1.50540 + 5.61824i 0.116492 + 0.434752i 0.999394 0.0348038i \(-0.0110806\pi\)
−0.882903 + 0.469556i \(0.844414\pi\)
\(168\) 1.22924 + 1.22024i 0.0948377 + 0.0941433i
\(169\) −12.7917 2.31779i −0.983978 0.178291i
\(170\) 0.339811i 0.0260623i
\(171\) 9.32218 2.57144i 0.712885 0.196643i
\(172\) −2.36320 + 4.09318i −0.180192 + 0.312102i
\(173\) −8.73192 15.1241i −0.663876 1.14987i −0.979589 0.201012i \(-0.935577\pi\)
0.315713 0.948855i \(-0.397756\pi\)
\(174\) −5.19097 + 0.0190740i −0.393527 + 0.00144600i
\(175\) 4.58024 + 1.22727i 0.346233 + 0.0927729i
\(176\) −1.97435 0.529024i −0.148822 0.0398767i
\(177\) −2.75241 + 0.0101136i −0.206884 + 0.000760185i
\(178\) −6.34105 10.9830i −0.475282 0.823212i
\(179\) 0.654352 1.13337i 0.0489086 0.0847121i −0.840535 0.541758i \(-0.817759\pi\)
0.889443 + 0.457046i \(0.151092\pi\)
\(180\) −1.46949 + 0.405346i −0.109529 + 0.0302127i
\(181\) 4.39091i 0.326373i 0.986595 + 0.163187i \(0.0521773\pi\)
−0.986595 + 0.163187i \(0.947823\pi\)
\(182\) 3.59108 + 0.322715i 0.266189 + 0.0239212i
\(183\) −2.60396 2.58489i −0.192490 0.191081i
\(184\) −1.83531 6.84946i −0.135301 0.504949i
\(185\) 2.16218 + 1.24833i 0.158966 + 0.0917793i
\(186\) −2.59993 + 9.84768i −0.190636 + 0.722067i
\(187\) −0.966568 + 0.966568i −0.0706824 + 0.0706824i
\(188\) −3.35080 + 12.5054i −0.244383 + 0.912048i
\(189\) −2.64752 4.47109i −0.192579 0.325224i
\(190\) 1.15818 + 1.15818i 0.0840230 + 0.0840230i
\(191\) 14.1764 8.18474i 1.02577 0.592227i 0.109998 0.993932i \(-0.464916\pi\)
0.915769 + 0.401705i \(0.131582\pi\)
\(192\) 0.454432 + 1.67137i 0.0327958 + 0.120621i
\(193\) −6.50091 + 1.74191i −0.467946 + 0.125386i −0.485084 0.874467i \(-0.661211\pi\)
0.0171385 + 0.999853i \(0.494544\pi\)
\(194\) −17.5758 −1.26187
\(195\) −1.81667 + 2.60175i −0.130094 + 0.186315i
\(196\) −1.00000 −0.0714286
\(197\) −1.67284 + 0.448237i −0.119185 + 0.0319356i −0.317919 0.948118i \(-0.602984\pi\)
0.198733 + 0.980054i \(0.436317\pi\)
\(198\) 5.33284 + 3.02688i 0.378988 + 0.215111i
\(199\) −9.73076 + 5.61806i −0.689796 + 0.398254i −0.803535 0.595257i \(-0.797050\pi\)
0.113740 + 0.993511i \(0.463717\pi\)
\(200\) 3.35297 + 3.35297i 0.237091 + 0.237091i
\(201\) 11.9577 + 20.5367i 0.843432 + 1.44855i
\(202\) −1.21928 + 4.55042i −0.0857884 + 0.320167i
\(203\) 2.11922 2.11922i 0.148740 0.148740i
\(204\) 1.11994 + 0.295682i 0.0784118 + 0.0207019i
\(205\) 2.53340 + 1.46266i 0.176940 + 0.102156i
\(206\) 0.0495223 + 0.184820i 0.00345038 + 0.0128770i
\(207\) 0.156333 + 21.2727i 0.0108659 + 1.47855i
\(208\) 2.94861 + 2.07502i 0.204449 + 0.143877i
\(209\) 6.58870i 0.455750i
\(210\) 0.437245 0.763798i 0.0301727 0.0527070i
\(211\) 3.34979 5.80200i 0.230609 0.399426i −0.727378 0.686236i \(-0.759262\pi\)
0.957987 + 0.286810i \(0.0925948\pi\)
\(212\) −1.35113 2.34022i −0.0927959 0.160727i
\(213\) −0.0917023 24.9567i −0.00628334 1.71000i
\(214\) −10.1653 2.72380i −0.694889 0.186195i
\(215\) 2.31976 + 0.621579i 0.158207 + 0.0423913i
\(216\) −0.0572777 5.19584i −0.00389726 0.353532i
\(217\) −2.94019 5.09255i −0.199593 0.345705i
\(218\) −0.307751 + 0.533041i −0.0208435 + 0.0361021i
\(219\) −5.32110 3.04612i −0.359567 0.205838i
\(220\) 1.03860i 0.0700225i
\(221\) 2.18772 1.01387i 0.147162 0.0682006i
\(222\) −5.99563 + 6.03985i −0.402400 + 0.405369i
\(223\) 1.47369 + 5.49990i 0.0986858 + 0.368301i 0.997552 0.0699217i \(-0.0222750\pi\)
−0.898867 + 0.438222i \(0.855608\pi\)
\(224\) −0.866025 0.500000i −0.0578638 0.0334077i
\(225\) −7.20306 12.2670i −0.480204 0.817799i
\(226\) −4.06486 + 4.06486i −0.270390 + 0.270390i
\(227\) −3.85346 + 14.3813i −0.255763 + 0.954521i 0.711901 + 0.702280i \(0.247834\pi\)
−0.967664 + 0.252241i \(0.918832\pi\)
\(228\) −4.82488 + 2.80933i −0.319535 + 0.186053i
\(229\) 10.2552 + 10.2552i 0.677684 + 0.677684i 0.959476 0.281791i \(-0.0909286\pi\)
−0.281791 + 0.959476i \(0.590929\pi\)
\(230\) −3.12042 + 1.80158i −0.205754 + 0.118792i
\(231\) −3.41628 + 0.928856i −0.224775 + 0.0611143i
\(232\) 2.89491 0.775689i 0.190060 0.0509265i
\(233\) −6.84615 −0.448506 −0.224253 0.974531i \(-0.571994\pi\)
−0.224253 + 0.974531i \(0.571994\pi\)
\(234\) −6.99408 8.25124i −0.457217 0.539400i
\(235\) 6.57843 0.429130
\(236\) 1.53497 0.411293i 0.0999178 0.0267729i
\(237\) 23.5385 6.39991i 1.52899 0.415719i
\(238\) −0.579160 + 0.334378i −0.0375414 + 0.0216745i
\(239\) 3.42357 + 3.42357i 0.221452 + 0.221452i 0.809110 0.587658i \(-0.199950\pi\)
−0.587658 + 0.809110i \(0.699950\pi\)
\(240\) 0.760564 0.442846i 0.0490942 0.0285856i
\(241\) −4.31678 + 16.1105i −0.278068 + 1.03777i 0.675689 + 0.737187i \(0.263846\pi\)
−0.953757 + 0.300578i \(0.902820\pi\)
\(242\) −4.82395 + 4.82395i −0.310095 + 0.310095i
\(243\) −3.75729 + 15.1289i −0.241030 + 0.970518i
\(244\) 1.83455 + 1.05918i 0.117445 + 0.0678069i
\(245\) 0.131512 + 0.490810i 0.00840200 + 0.0313567i
\(246\) −7.02501 + 7.07683i −0.447898 + 0.451202i
\(247\) −4.00081 + 10.9120i −0.254565 + 0.694313i
\(248\) 5.88037i 0.373404i
\(249\) 6.20515 + 3.55221i 0.393235 + 0.225112i
\(250\) 2.47502 4.28687i 0.156534 0.271125i
\(251\) −8.20582 14.2129i −0.517946 0.897110i −0.999783 0.0208483i \(-0.993363\pi\)
0.481836 0.876261i \(-0.339970\pi\)
\(252\) 2.13685 + 2.10567i 0.134609 + 0.132645i
\(253\) 14.0003 + 3.75136i 0.880189 + 0.235846i
\(254\) −21.2709 5.69952i −1.33466 0.357620i
\(255\) −0.00216266 0.588566i −0.000135431 0.0368574i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 6.66638 11.5465i 0.415837 0.720251i −0.579679 0.814845i \(-0.696822\pi\)
0.995516 + 0.0945940i \(0.0301553\pi\)
\(258\) −4.06711 + 7.10459i −0.253207 + 0.442313i
\(259\) 4.91350i 0.305310i
\(260\) 0.630662 1.72010i 0.0391120 0.106676i
\(261\) −8.99085 + 0.0660739i −0.556520 + 0.00408987i
\(262\) −1.33576 4.98514i −0.0825238 0.307983i
\(263\) −7.54086 4.35372i −0.464989 0.268462i 0.249151 0.968465i \(-0.419849\pi\)
−0.714140 + 0.700003i \(0.753182\pi\)
\(264\) −3.42301 0.903726i −0.210672 0.0556205i
\(265\) −0.970915 + 0.970915i −0.0596428 + 0.0596428i
\(266\) 0.834289 3.11361i 0.0511535 0.190908i
\(267\) −11.0528 18.9827i −0.676423 1.16172i
\(268\) −9.70175 9.70175i −0.592629 0.592629i
\(269\) 18.8995 10.9116i 1.15232 0.665295i 0.202872 0.979205i \(-0.434972\pi\)
0.949453 + 0.313910i \(0.101639\pi\)
\(270\) −2.54264 + 0.711428i −0.154740 + 0.0432961i
\(271\) −6.40055 + 1.71502i −0.388806 + 0.104180i −0.447926 0.894071i \(-0.647837\pi\)
0.0591201 + 0.998251i \(0.481171\pi\)
\(272\) −0.668756 −0.0405493
\(273\) 6.22194 + 0.536100i 0.376569 + 0.0324462i
\(274\) 4.74574 0.286701
\(275\) −9.36197 + 2.50853i −0.564548 + 0.151270i
\(276\) −3.22242 11.8519i −0.193967 0.713398i
\(277\) 1.07655 0.621545i 0.0646834 0.0373450i −0.467309 0.884094i \(-0.654777\pi\)
0.531993 + 0.846749i \(0.321443\pi\)
\(278\) 6.85334 + 6.85334i 0.411036 + 0.411036i
\(279\) −4.44051 + 17.0731i −0.265846 + 1.02214i
\(280\) −0.131512 + 0.490810i −0.00785935 + 0.0293315i
\(281\) −23.6538 + 23.6538i −1.41107 + 1.41107i −0.658394 + 0.752674i \(0.728764\pi\)
−0.752674 + 0.658394i \(0.771236\pi\)
\(282\) −5.72414 + 21.6811i −0.340867 + 1.29109i
\(283\) −16.5925 9.57970i −0.986323 0.569454i −0.0821500 0.996620i \(-0.526179\pi\)
−0.904173 + 0.427166i \(0.859512\pi\)
\(284\) 3.72928 + 13.9179i 0.221292 + 0.825874i
\(285\) 2.01338 + 1.99864i 0.119262 + 0.118389i
\(286\) −6.68657 + 3.09882i −0.395385 + 0.183237i
\(287\) 5.75709i 0.339830i
\(288\) 0.797731 + 2.89199i 0.0470068 + 0.170412i
\(289\) 8.27638 14.3351i 0.486846 0.843242i
\(290\) −0.761431 1.31884i −0.0447128 0.0774448i
\(291\) −30.4420 + 0.111858i −1.78454 + 0.00655722i
\(292\) 3.41930 + 0.916197i 0.200099 + 0.0536164i
\(293\) −20.5467 5.50546i −1.20035 0.321633i −0.397381 0.917654i \(-0.630081\pi\)
−0.802969 + 0.596021i \(0.796747\pi\)
\(294\) −1.73204 + 0.00636431i −0.101015 + 0.000371174i
\(295\) −0.403733 0.699287i −0.0235063 0.0407141i
\(296\) 2.45675 4.25522i 0.142796 0.247329i
\(297\) 9.25595 + 5.20874i 0.537085 + 0.302242i
\(298\) 11.9143i 0.690176i
\(299\) −20.9088 14.7141i −1.20919 0.850941i
\(300\) 5.82881 + 5.78613i 0.336526 + 0.334062i
\(301\) −1.22328 4.56535i −0.0705088 0.263143i
\(302\) 9.65625 + 5.57504i 0.555655 + 0.320807i
\(303\) −2.08289 + 7.88927i −0.119659 + 0.453227i
\(304\) 2.27932 2.27932i 0.130728 0.130728i
\(305\) 0.278589 1.03971i 0.0159520 0.0595336i
\(306\) 1.94167 + 0.505005i 0.110998 + 0.0288692i
\(307\) 5.73682 + 5.73682i 0.327418 + 0.327418i 0.851604 0.524186i \(-0.175630\pi\)
−0.524186 + 0.851604i \(0.675630\pi\)
\(308\) 1.77015 1.02200i 0.100864 0.0582337i
\(309\) 0.0869508 + 0.319800i 0.00494646 + 0.0181928i
\(310\) −2.88615 + 0.773341i −0.163922 + 0.0439228i
\(311\) 31.1579 1.76681 0.883403 0.468615i \(-0.155247\pi\)
0.883403 + 0.468615i \(0.155247\pi\)
\(312\) 5.12031 + 3.57525i 0.289881 + 0.202409i
\(313\) 13.4053 0.757712 0.378856 0.925456i \(-0.376318\pi\)
0.378856 + 0.925456i \(0.376318\pi\)
\(314\) 15.8534 4.24791i 0.894659 0.239723i
\(315\) 0.752464 1.32571i 0.0423965 0.0746953i
\(316\) −12.1965 + 7.04165i −0.686107 + 0.396124i
\(317\) −0.227144 0.227144i −0.0127577 0.0127577i 0.700699 0.713457i \(-0.252872\pi\)
−0.713457 + 0.700699i \(0.752872\pi\)
\(318\) −2.35510 4.04476i −0.132068 0.226819i
\(319\) −1.58550 + 5.91718i −0.0887711 + 0.331298i
\(320\) −0.359298 + 0.359298i −0.0200854 + 0.0200854i
\(321\) −17.6241 4.65303i −0.983682 0.259707i
\(322\) 6.14106 + 3.54554i 0.342228 + 0.197585i
\(323\) −0.557936 2.08224i −0.0310444 0.115859i
\(324\) −0.132275 8.99903i −0.00734862 0.499946i
\(325\) 17.0282 + 1.53025i 0.944556 + 0.0848831i
\(326\) 10.8066i 0.598521i
\(327\) −0.529645 + 0.925206i −0.0292894 + 0.0511640i
\(328\) 2.87854 4.98579i 0.158941 0.275294i
\(329\) −6.47326 11.2120i −0.356882 0.618138i
\(330\) 0.00660998 + 1.79890i 0.000363867 + 0.0990261i
\(331\) 16.7569 + 4.49001i 0.921045 + 0.246793i 0.688032 0.725681i \(-0.258475\pi\)
0.233013 + 0.972474i \(0.425142\pi\)
\(332\) −3.98738 1.06841i −0.218836 0.0586369i
\(333\) −10.3462 + 10.4994i −0.566970 + 0.575365i
\(334\) −2.90821 5.03717i −0.159130 0.275622i
\(335\) −3.48582 + 6.03761i −0.190451 + 0.329870i
\(336\) −1.50317 0.860508i −0.0820048 0.0469446i
\(337\) 27.8659i 1.51795i 0.651119 + 0.758976i \(0.274300\pi\)
−0.651119 + 0.758976i \(0.725700\pi\)
\(338\) 12.9557 1.07193i 0.704699 0.0583051i
\(339\) −7.01462 + 7.06636i −0.380982 + 0.383792i
\(340\) 0.0879495 + 0.328232i 0.00476973 + 0.0178009i
\(341\) 10.4091 + 6.00972i 0.563687 + 0.325445i
\(342\) −8.33900 + 4.89658i −0.450921 + 0.264777i
\(343\) 0.707107 0.707107i 0.0381802 0.0381802i
\(344\) 1.22328 4.56535i 0.0659550 0.246147i
\(345\) −5.39322 + 3.14026i −0.290361 + 0.169066i
\(346\) 12.3488 + 12.3488i 0.663876 + 0.663876i
\(347\) 26.0998 15.0687i 1.40111 0.808932i 0.406605 0.913604i \(-0.366713\pi\)
0.994507 + 0.104672i \(0.0333792\pi\)
\(348\) 5.00916 1.36195i 0.268519 0.0730080i
\(349\) −20.9974 + 5.62624i −1.12397 + 0.301166i −0.772488 0.635030i \(-0.780988\pi\)
−0.351479 + 0.936196i \(0.614321\pi\)
\(350\) −4.74181 −0.253460
\(351\) −12.1665 14.2470i −0.649401 0.760446i
\(352\) 2.04399 0.108945
\(353\) −1.42334 + 0.381382i −0.0757565 + 0.0202989i −0.296498 0.955033i \(-0.595819\pi\)
0.220742 + 0.975332i \(0.429152\pi\)
\(354\) 2.65600 0.722145i 0.141165 0.0383816i
\(355\) 6.34059 3.66074i 0.336523 0.194292i
\(356\) 8.96760 + 8.96760i 0.475282 + 0.475282i
\(357\) −1.00100 + 0.582842i −0.0529785 + 0.0308473i
\(358\) −0.338717 + 1.26411i −0.0179018 + 0.0668103i
\(359\) 14.7360 14.7360i 0.777736 0.777736i −0.201709 0.979445i \(-0.564650\pi\)
0.979445 + 0.201709i \(0.0646497\pi\)
\(360\) 1.31451 0.771867i 0.0692806 0.0406809i
\(361\) −7.45596 4.30470i −0.392419 0.226563i
\(362\) −1.13645 4.24129i −0.0597305 0.222917i
\(363\) −8.32456 + 8.38596i −0.436926 + 0.440149i
\(364\) −3.55224 + 0.617721i −0.186188 + 0.0323774i
\(365\) 1.79872i 0.0941491i
\(366\) 3.18425 + 1.82286i 0.166443 + 0.0952824i
\(367\) 2.93561 5.08463i 0.153238 0.265416i −0.779178 0.626803i \(-0.784363\pi\)
0.932416 + 0.361387i \(0.117697\pi\)
\(368\) 3.54554 + 6.14106i 0.184824 + 0.320125i
\(369\) −12.1226 + 12.3020i −0.631075 + 0.640419i
\(370\) −2.41159 0.646185i −0.125373 0.0335936i
\(371\) 2.61018 + 0.699396i 0.135514 + 0.0363108i
\(372\) −0.0374245 10.1850i −0.00194037 0.528070i
\(373\) 1.11041 + 1.92328i 0.0574948 + 0.0995838i 0.893340 0.449381i \(-0.148355\pi\)
−0.835845 + 0.548965i \(0.815022\pi\)
\(374\) 0.683467 1.18380i 0.0353412 0.0612128i
\(375\) 4.25955 7.44077i 0.219962 0.384240i
\(376\) 12.9465i 0.667665i
\(377\) 6.21890 8.83707i 0.320289 0.455132i
\(378\) 3.71451 + 3.63351i 0.191054 + 0.186888i
\(379\) −2.50830 9.36112i −0.128843 0.480849i 0.871105 0.491098i \(-0.163404\pi\)
−0.999947 + 0.0102492i \(0.996738\pi\)
\(380\) −1.41847 0.818955i −0.0727660 0.0420115i
\(381\) −36.8783 9.73642i −1.88933 0.498812i
\(382\) −11.5750 + 11.5750i −0.592227 + 0.592227i
\(383\) 2.19974 8.20953i 0.112401 0.419487i −0.886678 0.462387i \(-0.846993\pi\)
0.999079 + 0.0428999i \(0.0136597\pi\)
\(384\) −0.871531 1.49681i −0.0444751 0.0763836i
\(385\) −0.734402 0.734402i −0.0374286 0.0374286i
\(386\) 5.82856 3.36512i 0.296666 0.171280i
\(387\) −6.99917 + 12.3313i −0.355788 + 0.626836i
\(388\) 16.9769 4.54895i 0.861872 0.230938i
\(389\) 0.833952 0.0422830 0.0211415 0.999776i \(-0.493270\pi\)
0.0211415 + 0.999776i \(0.493270\pi\)
\(390\) 1.08138 2.98329i 0.0547580 0.151065i
\(391\) 4.74221 0.239824
\(392\) 0.965926 0.258819i 0.0487866 0.0130723i
\(393\) −2.34532 8.62595i −0.118306 0.435122i
\(394\) 1.49983 0.865928i 0.0755604 0.0436248i
\(395\) 5.06010 + 5.06010i 0.254601 + 0.254601i
\(396\) −5.93454 1.54350i −0.298222 0.0775640i
\(397\) −8.12662 + 30.3290i −0.407863 + 1.52217i 0.390849 + 0.920455i \(0.372181\pi\)
−0.798713 + 0.601713i \(0.794485\pi\)
\(398\) 7.94514 7.94514i 0.398254 0.398254i
\(399\) 1.42521 5.39820i 0.0713495 0.270248i
\(400\) −4.10653 2.37091i −0.205326 0.118545i
\(401\) 3.71231 + 13.8545i 0.185384 + 0.691863i 0.994548 + 0.104280i \(0.0332537\pi\)
−0.809164 + 0.587583i \(0.800080\pi\)
\(402\) −16.8656 16.7421i −0.841177 0.835018i
\(403\) −13.5900 16.2738i −0.676968 0.810654i
\(404\) 4.71095i 0.234378i
\(405\) −4.39942 + 1.24840i −0.218609 + 0.0620337i
\(406\) −1.49852 + 2.59550i −0.0743701 + 0.128813i
\(407\) 5.02158 + 8.69763i 0.248911 + 0.431126i
\(408\) −1.15831 + 0.00425617i −0.0573450 + 0.000210712i
\(409\) −0.226783 0.0607664i −0.0112137 0.00300470i 0.253208 0.967412i \(-0.418514\pi\)
−0.264422 + 0.964407i \(0.585181\pi\)
\(410\) −2.82564 0.757127i −0.139548 0.0373918i
\(411\) 8.21981 0.0302034i 0.405453 0.00148982i
\(412\) −0.0956697 0.165705i −0.00471331 0.00816369i
\(413\) −0.794557 + 1.37621i −0.0390976 + 0.0677190i
\(414\) −5.65678 20.5074i −0.278016 1.00788i
\(415\) 2.09755i 0.102965i
\(416\) −3.38519 1.24116i −0.165973 0.0608528i
\(417\) 11.9139 + 11.8266i 0.583425 + 0.579153i
\(418\) 1.70528 + 6.36420i 0.0834080 + 0.311283i
\(419\) 21.0709 + 12.1653i 1.02938 + 0.594312i 0.916807 0.399331i \(-0.130758\pi\)
0.112573 + 0.993644i \(0.464091\pi\)
\(420\) −0.224661 + 0.850939i −0.0109623 + 0.0415216i
\(421\) 24.3907 24.3907i 1.18873 1.18873i 0.211312 0.977419i \(-0.432226\pi\)
0.977419 0.211312i \(-0.0677735\pi\)
\(422\) −1.73398 + 6.47130i −0.0844087 + 0.315018i
\(423\) −9.77644 + 37.5890i −0.475347 + 1.82764i
\(424\) 1.91078 + 1.91078i 0.0927959 + 0.0927959i
\(425\) −2.74627 + 1.58556i −0.133213 + 0.0769108i
\(426\) 6.54784 + 24.0826i 0.317244 + 1.16680i
\(427\) −2.04617 + 0.548270i −0.0990212 + 0.0265327i
\(428\) 10.5239 0.508694
\(429\) −11.5617 + 5.40983i −0.558203 + 0.261189i
\(430\) −2.40160 −0.115815
\(431\) −8.73059 + 2.33935i −0.420538 + 0.112683i −0.462881 0.886420i \(-0.653184\pi\)
0.0423435 + 0.999103i \(0.486518\pi\)
\(432\) 1.40011 + 5.00397i 0.0673627 + 0.240754i
\(433\) 6.82739 3.94180i 0.328104 0.189431i −0.326895 0.945061i \(-0.606002\pi\)
0.654999 + 0.755630i \(0.272669\pi\)
\(434\) 4.15805 + 4.15805i 0.199593 + 0.199593i
\(435\) −1.32722 2.27943i −0.0636354 0.109290i
\(436\) 0.159304 0.594529i 0.00762926 0.0284728i
\(437\) −16.1629 + 16.1629i −0.773174 + 0.773174i
\(438\) 5.92818 + 1.56513i 0.283260 + 0.0747847i
\(439\) −25.2760 14.5931i −1.20636 0.696490i −0.244395 0.969676i \(-0.578589\pi\)
−0.961961 + 0.273185i \(0.911923\pi\)
\(440\) −0.268810 1.00321i −0.0128150 0.0478263i
\(441\) −2.99992 + 0.0220465i −0.142853 + 0.00104983i
\(442\) −1.85076 + 1.54555i −0.0880318 + 0.0735144i
\(443\) 32.1997i 1.52985i −0.644118 0.764926i \(-0.722775\pi\)
0.644118 0.764926i \(-0.277225\pi\)
\(444\) 4.22811 7.38584i 0.200657 0.350516i
\(445\) 3.22204 5.58074i 0.152739 0.264552i
\(446\) −2.84696 4.93107i −0.134807 0.233493i
\(447\) 0.0758261 + 20.6360i 0.00358645 + 0.976049i
\(448\) 0.965926 + 0.258819i 0.0456357 + 0.0122281i
\(449\) 33.3902 + 8.94687i 1.57578 + 0.422229i 0.937616 0.347672i \(-0.113028\pi\)
0.638163 + 0.769901i \(0.279695\pi\)
\(450\) 10.1325 + 9.98471i 0.477653 + 0.470684i
\(451\) 5.88373 + 10.1909i 0.277054 + 0.479871i
\(452\) 2.87429 4.97841i 0.135195 0.234165i
\(453\) 16.7605 + 9.59473i 0.787476 + 0.450800i
\(454\) 14.8886i 0.698758i
\(455\) 0.770347 + 1.66224i 0.0361144 + 0.0779269i
\(456\) 3.93337 3.96238i 0.184197 0.185555i
\(457\) 1.11579 + 4.16420i 0.0521946 + 0.194793i 0.987100 0.160103i \(-0.0511828\pi\)
−0.934906 + 0.354896i \(0.884516\pi\)
\(458\) −12.5600 7.25154i −0.586892 0.338842i
\(459\) 3.36626 + 0.862331i 0.157124 + 0.0402502i
\(460\) 2.54781 2.54781i 0.118792 0.118792i
\(461\) 4.57904 17.0892i 0.213267 0.795924i −0.773502 0.633794i \(-0.781497\pi\)
0.986769 0.162130i \(-0.0518364\pi\)
\(462\) 3.05947 1.78140i 0.142339 0.0828784i
\(463\) −29.3911 29.3911i −1.36592 1.36592i −0.866167 0.499755i \(-0.833423\pi\)
−0.499755 0.866167i \(-0.666577\pi\)
\(464\) −2.59550 + 1.49852i −0.120493 + 0.0695668i
\(465\) −4.99400 + 1.35782i −0.231591 + 0.0629676i
\(466\) 6.61287 1.77191i 0.306335 0.0820823i
\(467\) −17.9717 −0.831629 −0.415814 0.909449i \(-0.636503\pi\)
−0.415814 + 0.909449i \(0.636503\pi\)
\(468\) 8.89134 + 6.15988i 0.411002 + 0.284741i
\(469\) 13.7203 0.633547
\(470\) −6.35428 + 1.70262i −0.293101 + 0.0785362i
\(471\) 27.4317 7.45843i 1.26398 0.343667i
\(472\) −1.37621 + 0.794557i −0.0633453 + 0.0365725i
\(473\) 6.83117 + 6.83117i 0.314098 + 0.314098i
\(474\) −21.0800 + 12.2740i −0.968236 + 0.563765i
\(475\) 3.95604 14.7641i 0.181516 0.677425i
\(476\) 0.472882 0.472882i 0.0216745 0.0216745i
\(477\) −4.10487 6.99069i −0.187949 0.320082i
\(478\) −4.19300 2.42083i −0.191783 0.110726i
\(479\) 1.26728 + 4.72955i 0.0579035 + 0.216099i 0.988815 0.149145i \(-0.0476522\pi\)
−0.930912 + 0.365244i \(0.880986\pi\)
\(480\) −0.620031 + 0.624605i −0.0283004 + 0.0285092i
\(481\) −3.03517 17.4539i −0.138392 0.795831i
\(482\) 16.6788i 0.759697i
\(483\) 10.6591 + 6.10194i 0.485007 + 0.277648i
\(484\) 3.41105 5.90810i 0.155048 0.268550i
\(485\) −4.46534 7.73419i −0.202761 0.351192i
\(486\) −0.286378 15.5858i −0.0129904 0.706987i
\(487\) 21.1774 + 5.67448i 0.959641 + 0.257135i 0.704448 0.709755i \(-0.251194\pi\)
0.255193 + 0.966890i \(0.417861\pi\)
\(488\) −2.04617 0.548270i −0.0926259 0.0248190i
\(489\) −0.0687764 18.7174i −0.00311018 0.846431i
\(490\) −0.254062 0.440048i −0.0114773 0.0198794i
\(491\) −13.1003 + 22.6905i −0.591210 + 1.02401i 0.402859 + 0.915262i \(0.368016\pi\)
−0.994070 + 0.108744i \(0.965317\pi\)
\(492\) 4.95402 8.65390i 0.223345 0.390148i
\(493\) 2.00428i 0.0902683i
\(494\) 1.04025 11.5756i 0.0468032 0.520813i
\(495\) 0.0228975 + 3.11572i 0.00102917 + 0.140041i
\(496\) 1.52195 + 5.68001i 0.0683377 + 0.255040i
\(497\) −12.4784 7.20442i −0.559734 0.323163i
\(498\) −6.91309 1.82516i −0.309783 0.0817873i
\(499\) 8.49382 8.49382i 0.380236 0.380236i −0.490951 0.871187i \(-0.663351\pi\)
0.871187 + 0.490951i \(0.163351\pi\)
\(500\) −1.28117 + 4.78138i −0.0572955 + 0.213830i
\(501\) −5.06920 8.70607i −0.226475 0.388959i
\(502\) 11.6048 + 11.6048i 0.517946 + 0.517946i
\(503\) 34.4202 19.8725i 1.53472 0.886071i 0.535586 0.844481i \(-0.320091\pi\)
0.999135 0.0415906i \(-0.0132425\pi\)
\(504\) −2.60903 1.48087i −0.116215 0.0659630i
\(505\) −2.31218 + 0.619547i −0.102891 + 0.0275695i
\(506\) −14.4941 −0.644343
\(507\) 22.4330 1.93907i 0.996285 0.0861172i
\(508\) 22.0213 0.977036
\(509\) 31.9237 8.55392i 1.41499 0.379146i 0.531287 0.847192i \(-0.321709\pi\)
0.883704 + 0.468046i \(0.155042\pi\)
\(510\) 0.154421 + 0.567951i 0.00683788 + 0.0251493i
\(511\) −3.06566 + 1.76996i −0.135617 + 0.0782983i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) −14.4123 + 8.53414i −0.636319 + 0.376792i
\(514\) −3.45077 + 12.8785i −0.152207 + 0.568044i
\(515\) −0.0687479 + 0.0687479i −0.00302939 + 0.00302939i
\(516\) 2.08972 7.91516i 0.0919947 0.348445i
\(517\) 22.9173 + 13.2313i 1.00790 + 0.581912i
\(518\) 1.27171 + 4.74608i 0.0558756 + 0.208531i
\(519\) 21.4672 + 21.3100i 0.942306 + 0.935406i
\(520\) −0.163979 + 1.82471i −0.00719096 + 0.0800190i
\(521\) 20.4603i 0.896381i 0.893938 + 0.448190i \(0.147931\pi\)
−0.893938 + 0.448190i \(0.852069\pi\)
\(522\) 8.66739 2.39083i 0.379361 0.104644i
\(523\) 11.3094 19.5884i 0.494524 0.856541i −0.505456 0.862852i \(-0.668676\pi\)
0.999980 + 0.00631162i \(0.00200906\pi\)
\(524\) 2.58050 + 4.46955i 0.112730 + 0.195253i
\(525\) −8.21300 + 0.0301783i −0.358445 + 0.00131709i
\(526\) 8.41073 + 2.25365i 0.366725 + 0.0982638i
\(527\) 3.79854 + 1.01782i 0.165467 + 0.0443367i
\(528\) 3.54028 0.0130086i 0.154071 0.000566127i
\(529\) −13.6418 23.6282i −0.593120 1.02731i
\(530\) 0.686541 1.18912i 0.0298214 0.0516522i
\(531\) 4.59571 1.26769i 0.199437 0.0550129i
\(532\) 3.22345i 0.139754i
\(533\) −3.55628 20.4506i −0.154039 0.885813i
\(534\) 15.5893 + 15.4752i 0.674615 + 0.669676i
\(535\) −1.38403 5.16526i −0.0598367 0.223313i
\(536\) 11.8822 + 6.86017i 0.513232 + 0.296314i
\(537\) −0.578627 + 2.19165i −0.0249696 + 0.0945765i
\(538\) −15.4314 + 15.4314i −0.665295 + 0.665295i
\(539\) −0.529024 + 1.97435i −0.0227867 + 0.0850411i
\(540\) 2.27187 1.34527i 0.0977656 0.0578912i
\(541\) 16.0800 + 16.0800i 0.691332 + 0.691332i 0.962525 0.271193i \(-0.0874181\pi\)
−0.271193 + 0.962525i \(0.587418\pi\)
\(542\) 5.73858 3.31317i 0.246493 0.142313i
\(543\) −1.99537 7.33885i −0.0856295 0.314940i
\(544\) 0.645969 0.173087i 0.0276957 0.00742104i
\(545\) −0.312751 −0.0133968
\(546\) −6.14869 + 1.09253i −0.263140 + 0.0467558i
\(547\) 36.6890 1.56871 0.784354 0.620314i \(-0.212995\pi\)
0.784354 + 0.620314i \(0.212995\pi\)
\(548\) −4.58404 + 1.22829i −0.195820 + 0.0524699i
\(549\) 5.52685 + 3.13700i 0.235880 + 0.133884i
\(550\) 8.39372 4.84611i 0.357909 0.206639i
\(551\) −6.83119 6.83119i −0.291019 0.291019i
\(552\) 6.18010 + 10.6140i 0.263043 + 0.451762i
\(553\) 3.64503 13.6034i 0.155002 0.578477i
\(554\) −0.878997 + 0.878997i −0.0373450 + 0.0373450i
\(555\) −4.18109 1.10387i −0.177477 0.0468566i
\(556\) −8.39360 4.84605i −0.355968 0.205518i
\(557\) 9.02390 + 33.6777i 0.382355 + 1.42697i 0.842294 + 0.539018i \(0.181205\pi\)
−0.459939 + 0.887950i \(0.652129\pi\)
\(558\) −0.129641 17.6406i −0.00548816 0.746788i
\(559\) −7.16551 15.4616i −0.303069 0.653956i
\(560\) 0.508124i 0.0214722i
\(561\) 1.17626 2.05474i 0.0496616 0.0867510i
\(562\) 16.7258 28.9699i 0.705534 1.22202i
\(563\) 14.1837 + 24.5669i 0.597772 + 1.03537i 0.993149 + 0.116853i \(0.0372805\pi\)
−0.395377 + 0.918519i \(0.629386\pi\)
\(564\) −0.0823956 22.4239i −0.00346948 0.944215i
\(565\) −2.82146 0.756008i −0.118700 0.0318055i
\(566\) 18.5066 + 4.95882i 0.777889 + 0.208435i
\(567\) 6.45681 + 6.26974i 0.271160 + 0.263304i
\(568\) −7.20442 12.4784i −0.302291 0.523583i
\(569\) −7.99602 + 13.8495i −0.335211 + 0.580602i −0.983525 0.180771i \(-0.942141\pi\)
0.648315 + 0.761373i \(0.275474\pi\)
\(570\) −2.46206 1.40943i −0.103124 0.0590347i
\(571\) 2.03247i 0.0850562i 0.999095 + 0.0425281i \(0.0135412\pi\)
−0.999095 + 0.0425281i \(0.986459\pi\)
\(572\) 5.65669 4.72384i 0.236518 0.197514i
\(573\) −19.9746 + 20.1220i −0.834452 + 0.840607i
\(574\) 1.49004 + 5.56092i 0.0621932 + 0.232108i
\(575\) 29.1197 + 16.8123i 1.21438 + 0.701121i
\(576\) −1.51905 2.58698i −0.0632938 0.107791i
\(577\) 9.51377 9.51377i 0.396063 0.396063i −0.480779 0.876842i \(-0.659646\pi\)
0.876842 + 0.480779i \(0.159646\pi\)
\(578\) −4.28417 + 15.9887i −0.178198 + 0.665044i
\(579\) 10.0739 5.86561i 0.418656 0.243767i
\(580\) 1.07683 + 1.07683i 0.0447128 + 0.0447128i
\(581\) 3.57498 2.06402i 0.148315 0.0856299i
\(582\) 29.3757 7.98700i 1.21766 0.331072i
\(583\) −5.33519 + 1.42956i −0.220961 + 0.0592063i
\(584\) −3.53991 −0.146483
\(585\) 1.85401 5.17406i 0.0766540 0.213921i
\(586\) 21.2715 0.878717
\(587\) −39.8579 + 10.6799i −1.64511 + 0.440806i −0.958238 0.285972i \(-0.907683\pi\)
−0.686872 + 0.726778i \(0.741017\pi\)
\(588\) 1.67137 0.454432i 0.0689263 0.0187405i
\(589\) −16.4156 + 9.47753i −0.676392 + 0.390515i
\(590\) 0.570965 + 0.570965i 0.0235063 + 0.0235063i
\(591\) 2.59226 1.50937i 0.106631 0.0620870i
\(592\) −1.27171 + 4.74608i −0.0522668 + 0.195063i
\(593\) 4.52692 4.52692i 0.185898 0.185898i −0.608022 0.793920i \(-0.708037\pi\)
0.793920 + 0.608022i \(0.208037\pi\)
\(594\) −10.2887 2.63564i −0.422150 0.108142i
\(595\) −0.294285 0.169905i −0.0120645 0.00696544i
\(596\) −3.08364 11.5083i −0.126311 0.471399i
\(597\) 13.7107 13.8119i 0.561142 0.565281i
\(598\) 24.0047 + 8.80116i 0.981625 + 0.359906i
\(599\) 32.9531i 1.34643i 0.739448 + 0.673214i \(0.235087\pi\)
−0.739448 + 0.673214i \(0.764913\pi\)
\(600\) −7.12776 4.08037i −0.290989 0.166580i
\(601\) −19.0163 + 32.9371i −0.775690 + 1.34353i 0.158717 + 0.987324i \(0.449264\pi\)
−0.934406 + 0.356210i \(0.884069\pi\)
\(602\) 2.36320 + 4.09318i 0.0963169 + 0.166826i
\(603\) −29.3184 28.8906i −1.19394 1.17652i
\(604\) −10.7701 2.88585i −0.438231 0.117424i
\(605\) −3.34835 0.897188i −0.136130 0.0364759i
\(606\) −0.0299819 8.15954i −0.00121793 0.331459i
\(607\) −20.3316 35.2153i −0.825233 1.42934i −0.901741 0.432276i \(-0.857711\pi\)
0.0765089 0.997069i \(-0.475623\pi\)
\(608\) −1.61172 + 2.79159i −0.0653640 + 0.113214i
\(609\) −2.57897 + 4.50505i −0.104505 + 0.182554i
\(610\) 1.07639i 0.0435816i
\(611\) −29.9205 35.8291i −1.21045 1.44949i
\(612\) −2.00621 + 0.0147437i −0.0810964 + 0.000595979i
\(613\) −7.46839 27.8724i −0.301645 1.12576i −0.935795 0.352545i \(-0.885316\pi\)
0.634149 0.773211i \(-0.281350\pi\)
\(614\) −7.02615 4.05655i −0.283552 0.163709i
\(615\) −4.89893 1.29339i −0.197544 0.0521545i
\(616\) −1.44532 + 1.44532i −0.0582337 + 0.0582337i
\(617\) −2.33842 + 8.72710i −0.0941413 + 0.351340i −0.996888 0.0788328i \(-0.974881\pi\)
0.902747 + 0.430173i \(0.141547\pi\)
\(618\) −0.166758 0.286398i −0.00670800 0.0115206i
\(619\) 23.1859 + 23.1859i 0.931919 + 0.931919i 0.997826 0.0659070i \(-0.0209941\pi\)
−0.0659070 + 0.997826i \(0.520994\pi\)
\(620\) 2.58765 1.49398i 0.103922 0.0599997i
\(621\) −9.92828 35.4836i −0.398408 1.42391i
\(622\) −30.0963 + 8.06427i −1.20675 + 0.323348i
\(623\) −12.6821 −0.508098
\(624\) −5.87118 2.12819i −0.235035 0.0851958i
\(625\) −21.1938 −0.847753
\(626\) −12.9485 + 3.46954i −0.517527 + 0.138671i
\(627\) 2.99412 + 11.0122i 0.119574 + 0.439784i
\(628\) −14.2138 + 8.20632i −0.567191 + 0.327468i
\(629\) 2.32351 + 2.32351i 0.0926442 + 0.0926442i
\(630\) −0.383705 + 1.47529i −0.0152872 + 0.0587769i
\(631\) −1.17310 + 4.37806i −0.0467003 + 0.174288i −0.985337 0.170620i \(-0.945423\pi\)
0.938637 + 0.344908i \(0.112090\pi\)
\(632\) 9.95840 9.95840i 0.396124 0.396124i
\(633\) −2.96213 + 11.2196i −0.117734 + 0.445938i
\(634\) 0.278194 + 0.160615i 0.0110485 + 0.00637884i
\(635\) −2.89606 10.8083i −0.114927 0.428913i
\(636\) 3.32171 + 3.29739i 0.131715 + 0.130750i
\(637\) 2.07502 2.94861i 0.0822153 0.116828i
\(638\) 6.12591i 0.242527i
\(639\) 11.4944 + 41.6703i 0.454711 + 1.64845i
\(640\) 0.254062 0.440048i 0.0100427 0.0173944i
\(641\) 10.0179 + 17.3515i 0.395682 + 0.685342i 0.993188 0.116523i \(-0.0371748\pi\)
−0.597506 + 0.801865i \(0.703841\pi\)
\(642\) 18.2279 0.0669776i 0.719397 0.00264339i
\(643\) −22.0771 5.91555i −0.870637 0.233287i −0.204274 0.978914i \(-0.565483\pi\)
−0.666363 + 0.745627i \(0.732150\pi\)
\(644\) −6.84946 1.83531i −0.269907 0.0723213i
\(645\) −4.15966 + 0.0152845i −0.163786 + 0.000601827i
\(646\) 1.07785 + 1.86689i 0.0424074 + 0.0734518i
\(647\) −19.5964 + 33.9420i −0.770415 + 1.33440i 0.166921 + 0.985970i \(0.446617\pi\)
−0.937336 + 0.348427i \(0.886716\pi\)
\(648\) 2.45689 + 8.65816i 0.0965157 + 0.340125i
\(649\) 3.24814i 0.127501i
\(650\) −16.8441 + 2.92912i −0.660678 + 0.114889i
\(651\) 7.22837 + 7.17545i 0.283302 + 0.281228i
\(652\) 2.79695 + 10.4384i 0.109537 + 0.408797i
\(653\) 17.6224 + 10.1743i 0.689619 + 0.398152i 0.803469 0.595346i \(-0.202985\pi\)
−0.113850 + 0.993498i \(0.536318\pi\)
\(654\) 0.272136 1.03076i 0.0106414 0.0403060i
\(655\) 1.85433 1.85433i 0.0724548 0.0724548i
\(656\) −1.49004 + 5.56092i −0.0581765 + 0.217117i
\(657\) 10.2778 + 2.67313i 0.400975 + 0.104289i
\(658\) 9.15457 + 9.15457i 0.356882 + 0.356882i
\(659\) −14.3376 + 8.27782i −0.558514 + 0.322458i −0.752549 0.658537i \(-0.771176\pi\)
0.194035 + 0.980995i \(0.437842\pi\)
\(660\) −0.471974 1.73589i −0.0183716 0.0675695i
\(661\) −34.0537 + 9.12465i −1.32453 + 0.354908i −0.850674 0.525693i \(-0.823806\pi\)
−0.473859 + 0.880601i \(0.657139\pi\)
\(662\) −17.3481 −0.674251
\(663\) −3.19576 + 2.68873i −0.124113 + 0.104422i
\(664\) 4.12804 0.160199
\(665\) 1.58210 0.423922i 0.0613512 0.0164390i
\(666\) 7.27624 12.8195i 0.281948 0.496744i
\(667\) 18.4050 10.6261i 0.712643 0.411444i
\(668\) 4.11283 + 4.11283i 0.159130 + 0.159130i
\(669\) −4.96242 8.52270i −0.191858 0.329506i
\(670\) 1.80439 6.73408i 0.0697098 0.260160i
\(671\) 3.06170 3.06170i 0.118196 0.118196i
\(672\) 1.67467 + 0.442137i 0.0646017 + 0.0170558i
\(673\) −16.3150 9.41948i −0.628898 0.363094i 0.151427 0.988468i \(-0.451613\pi\)
−0.780325 + 0.625374i \(0.784946\pi\)
\(674\) −7.21222 26.9164i −0.277804 1.03678i
\(675\) 17.6135 + 17.2294i 0.677944 + 0.663160i
\(676\) −12.2368 + 4.38859i −0.470648 + 0.168792i
\(677\) 3.89526i 0.149707i −0.997195 0.0748536i \(-0.976151\pi\)
0.997195 0.0748536i \(-0.0238489\pi\)
\(678\) 4.94670 8.64110i 0.189977 0.331859i
\(679\) −8.78790 + 15.2211i −0.337248 + 0.584131i
\(680\) −0.169905 0.294285i −0.00651558 0.0112853i
\(681\) −0.0947558 25.7877i −0.00363105 0.988186i
\(682\) −11.6099 3.11086i −0.444566 0.119121i
\(683\) −39.2280 10.5111i −1.50102 0.402196i −0.587576 0.809169i \(-0.699918\pi\)
−0.913440 + 0.406973i \(0.866584\pi\)
\(684\) 6.78752 6.88803i 0.259527 0.263370i
\(685\) 1.20571 + 2.08836i 0.0460679 + 0.0797920i
\(686\) −0.500000 + 0.866025i −0.0190901 + 0.0330650i
\(687\) −21.8006 12.4800i −0.831746 0.476142i
\(688\) 4.72640i 0.180192i
\(689\) 9.70402 + 0.872058i 0.369694 + 0.0332228i
\(690\) 4.39670 4.42913i 0.167379 0.168614i
\(691\) −9.37085 34.9725i −0.356484 1.33042i −0.878607 0.477546i \(-0.841526\pi\)
0.522123 0.852870i \(-0.325140\pi\)
\(692\) −15.1241 8.73192i −0.574933 0.331938i
\(693\) 5.28778 3.10493i 0.200866 0.117947i
\(694\) −21.3104 + 21.3104i −0.808932 + 0.808932i
\(695\) −1.27463 + 4.75697i −0.0483494 + 0.180442i
\(696\) −4.48598 + 2.61201i −0.170041 + 0.0990078i
\(697\) 2.72242 + 2.72242i 0.103119 + 0.103119i
\(698\) 18.8258 10.8691i 0.712566 0.411400i
\(699\) 11.4425 3.11111i 0.432794 0.117673i
\(700\) 4.58024 1.22727i 0.173117 0.0463865i
\(701\) 14.2382 0.537770 0.268885 0.963172i \(-0.413345\pi\)
0.268885 + 0.963172i \(0.413345\pi\)
\(702\) 15.4393 + 10.6126i 0.582720 + 0.400546i
\(703\) −15.8384 −0.597356
\(704\) −1.97435 + 0.529024i −0.0744110 + 0.0199384i
\(705\) −10.9950 + 2.98945i −0.414096 + 0.112589i
\(706\) 1.27613 0.736773i 0.0480277 0.0277288i
\(707\) 3.33114 + 3.33114i 0.125280 + 0.125280i
\(708\) −2.37860 + 1.38496i −0.0893932 + 0.0520501i
\(709\) −9.82639 + 36.6726i −0.369038 + 1.37727i 0.492826 + 0.870128i \(0.335964\pi\)
−0.861864 + 0.507140i \(0.830703\pi\)
\(710\) −5.17707 + 5.17707i −0.194292 + 0.194292i
\(711\) −36.4333 + 21.3933i −1.36635 + 0.802310i
\(712\) −10.9830 6.34105i −0.411606 0.237641i
\(713\) −10.7923 40.2774i −0.404175 1.50840i
\(714\) 0.816040 0.822060i 0.0305395 0.0307648i
\(715\) −3.06243 2.15512i −0.114528 0.0805969i
\(716\) 1.30870i 0.0489086i
\(717\) −7.27784 4.16628i −0.271796 0.155593i
\(718\) −10.4199 + 18.0478i −0.388868 + 0.673539i
\(719\) −17.8930 30.9917i −0.667298 1.15579i −0.978657 0.205502i \(-0.934117\pi\)
0.311359 0.950292i \(-0.399216\pi\)
\(720\) −1.06994 + 1.08579i −0.0398744 + 0.0404648i
\(721\) 0.184820 + 0.0495223i 0.00688305 + 0.00184431i
\(722\) 8.31604 + 2.22828i 0.309491 + 0.0829279i
\(723\) −0.106149 28.8883i −0.00394772 1.07437i
\(724\) 2.19545 + 3.80264i 0.0815934 + 0.141324i
\(725\) −7.10568 + 12.3074i −0.263898 + 0.457085i
\(726\) 5.87046 10.2548i 0.217873 0.380590i
\(727\) 9.90693i 0.367428i 0.982980 + 0.183714i \(0.0588120\pi\)
−0.982980 + 0.183714i \(0.941188\pi\)
\(728\) 3.27132 1.51606i 0.121243 0.0561890i
\(729\) −0.595211 26.9934i −0.0220449 0.999757i
\(730\) 0.465542 + 1.73743i 0.0172305 + 0.0643050i
\(731\) 2.73734 + 1.58040i 0.101244 + 0.0584534i
\(732\) −3.54754 0.936603i −0.131121 0.0346179i
\(733\) −3.22915 + 3.22915i −0.119271 + 0.119271i −0.764223 0.644952i \(-0.776877\pi\)
0.644952 + 0.764223i \(0.276877\pi\)
\(734\) −1.51959 + 5.67117i −0.0560889 + 0.209327i
\(735\) −0.442846 0.760564i −0.0163346 0.0280538i
\(736\) −5.01416 5.01416i −0.184824 0.184824i
\(737\) −24.2871 + 14.0222i −0.894626 + 0.516513i
\(738\) 8.52548 15.0204i 0.313827 0.552909i
\(739\) 34.8116 9.32775i 1.28057 0.343127i 0.446496 0.894785i \(-0.352672\pi\)
0.834070 + 0.551659i \(0.186005\pi\)
\(740\) 2.49667 0.0917793
\(741\) 1.72809 20.0561i 0.0634829 0.736779i
\(742\) −2.70226 −0.0992030
\(743\) −9.37865 + 2.51300i −0.344069 + 0.0921930i −0.426716 0.904386i \(-0.640329\pi\)
0.0826464 + 0.996579i \(0.473663\pi\)
\(744\) 2.67223 + 9.82831i 0.0979688 + 0.360323i
\(745\) −5.24286 + 3.02697i −0.192083 + 0.110899i
\(746\) −1.57035 1.57035i −0.0574948 0.0574948i
\(747\) −11.9854 3.11725i −0.438522 0.114054i
\(748\) −0.353788 + 1.32036i −0.0129358 + 0.0482770i
\(749\) −7.44155 + 7.44155i −0.271908 + 0.271908i
\(750\) −2.18860 + 8.28969i −0.0799164 + 0.302697i
\(751\) 14.9212 + 8.61475i 0.544482 + 0.314357i 0.746893 0.664944i \(-0.231545\pi\)
−0.202412 + 0.979301i \(0.564878\pi\)
\(752\) 3.35080 + 12.5054i 0.122191 + 0.456024i
\(753\) 20.1738 + 20.0261i 0.735173 + 0.729791i
\(754\) −3.71979 + 10.1455i −0.135467 + 0.369478i
\(755\) 5.66562i 0.206193i
\(756\) −4.52837 2.54831i −0.164695 0.0926813i
\(757\) −18.2011 + 31.5252i −0.661529 + 1.14580i 0.318684 + 0.947861i \(0.396759\pi\)
−0.980214 + 0.197942i \(0.936574\pi\)
\(758\) 4.84567 + 8.39295i 0.176003 + 0.304846i
\(759\) −25.1044 + 0.0922451i −0.911232 + 0.00334829i
\(760\) 1.58210 + 0.423922i 0.0573888 + 0.0153773i
\(761\) 22.2002 + 5.94853i 0.804758 + 0.215634i 0.637672 0.770308i \(-0.279898\pi\)
0.167086 + 0.985942i \(0.446564\pi\)
\(762\) 38.1417 0.140150i 1.38173 0.00507710i
\(763\) 0.307751 + 0.533041i 0.0111413 + 0.0192974i
\(764\) 8.18474 14.1764i 0.296113 0.512884i
\(765\) 0.271078 + 0.982731i 0.00980084 + 0.0355307i
\(766\) 8.49913i 0.307086i
\(767\) −1.97234 + 5.37946i −0.0712172 + 0.194241i
\(768\) 1.22924 + 1.22024i 0.0443563 + 0.0440315i
\(769\) 9.15552 + 34.1689i 0.330157 + 1.23216i 0.909025 + 0.416741i \(0.136828\pi\)
−0.578869 + 0.815421i \(0.696506\pi\)
\(770\) 0.899456 + 0.519301i 0.0324141 + 0.0187143i
\(771\) −5.89491 + 22.3279i −0.212300 + 0.804121i
\(772\) −4.75900 + 4.75900i −0.171280 + 0.171280i
\(773\) 3.28552 12.2617i 0.118172 0.441024i −0.881333 0.472496i \(-0.843353\pi\)
0.999505 +