Properties

Label 546.2.bu.a.71.11
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 71.11
Character \(\chi\) \(=\) 546.71
Dual form 546.2.bu.a.323.11

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 - 0.258819i) q^{2} +(0.442137 + 1.67467i) q^{3} +(0.866025 - 0.500000i) q^{4} +(0.359298 + 0.359298i) q^{5} +(0.860508 + 1.50317i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-2.60903 + 1.48087i) q^{9} +O(q^{10})\) \(q+(0.965926 - 0.258819i) q^{2} +(0.442137 + 1.67467i) q^{3} +(0.866025 - 0.500000i) q^{4} +(0.359298 + 0.359298i) q^{5} +(0.860508 + 1.50317i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-2.60903 + 1.48087i) 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} +(-0.442846 + 0.760564i) q^{15} +(0.500000 - 0.866025i) q^{16} +(0.334378 + 0.579160i) q^{17} +(-2.13685 + 2.10567i) q^{18} +(3.11361 + 0.834289i) q^{19} +(0.490810 + 0.131512i) q^{20} +(-1.73204 - 0.00636431i) q^{21} +(1.02200 + 1.77015i) q^{22} +(3.54554 - 6.14106i) q^{23} +(1.49681 + 0.871531i) 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} +(-0.230908 + 0.849265i) q^{30} +(-4.15805 + 4.15805i) q^{31} +(0.258819 - 0.965926i) q^{32} +(-3.07247 + 1.75887i) q^{33} +(0.472882 + 0.472882i) q^{34} +(-0.440048 + 0.254062i) q^{35} +(-1.51905 + 2.58698i) q^{36} +(-4.74608 + 1.27171i) q^{37} +3.22345 q^{38} +(-6.15655 + 1.04731i) q^{39} +0.508124 q^{40} +(5.56092 - 1.49004i) q^{41} +(-1.67467 + 0.442137i) q^{42} +(-4.09318 + 2.36320i) q^{43} +(1.44532 + 1.44532i) q^{44} +(-1.46949 - 0.405346i) q^{45} +(1.83531 - 6.84946i) q^{46} +(9.15457 - 9.15457i) q^{47} +(1.67137 + 0.454432i) 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} +(-4.47109 - 2.64752i) q^{54} +(-0.519301 + 0.899456i) q^{55} +(0.500000 + 0.866025i) q^{56} +(-0.0205150 + 5.58313i) q^{57} +(2.89491 + 0.775689i) q^{58} +(-1.53497 - 0.411293i) q^{59} +(-0.00323386 + 0.880090i) q^{60} +(1.05918 + 1.83455i) q^{61} +(-2.94019 + 5.09255i) q^{62} +(-0.755141 - 2.90341i) 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} +(11.8519 + 3.22242i) q^{69} +(-0.359298 + 0.359298i) q^{70} +(3.72928 - 13.9179i) q^{71} +(-0.797731 + 2.89199i) q^{72} +(2.50310 + 2.50310i) q^{73} +(-4.25522 + 2.45675i) q^{74} +(7.94096 - 2.09653i) q^{75} +(3.11361 - 0.834289i) q^{76} -2.04399 q^{77} +(-5.67571 + 2.60506i) q^{78} -14.0833 q^{79} +(0.490810 - 0.131512i) q^{80} +(4.61407 - 7.72725i) q^{81} +(4.98579 - 2.87854i) q^{82} +(2.91896 + 2.91896i) q^{83} +(-1.50317 + 0.860508i) q^{84} +(-0.0879495 + 0.328232i) q^{85} +(-3.34207 + 3.34207i) q^{86} +(-1.36195 + 5.00916i) 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} +(-8.80179 - 5.12493i) q^{93} +(6.47326 - 11.2120i) q^{94} +(0.818955 + 1.41847i) q^{95} +(1.73204 + 0.00636431i) q^{96} +(16.9769 + 4.54895i) q^{97} +(-0.965926 - 0.258819i) q^{98} +(-4.30398 - 4.36771i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 8q^{6} + 24q^{9} + O(q^{10}) \) \( 56q - 8q^{6} + 24q^{9} + 24q^{10} - 8q^{11} + 24q^{13} - 4q^{15} + 28q^{16} + 4q^{17} + 8q^{19} + 4q^{21} + 8q^{23} + 8q^{24} + 4q^{26} - 24q^{27} - 16q^{30} - 8q^{31} - 32q^{33} - 24q^{34} - 24q^{35} - 12q^{36} - 8q^{37} - 60q^{39} + 28q^{41} - 8q^{44} - 40q^{45} - 20q^{46} - 64q^{50} + 8q^{54} + 8q^{55} + 28q^{56} + 40q^{57} + 4q^{58} + 8q^{59} + 4q^{60} + 8q^{61} + 32q^{62} + 24q^{65} + 32q^{66} - 56q^{69} + 112q^{71} + 16q^{72} + 8q^{73} - 48q^{74} - 40q^{75} + 8q^{76} - 8q^{78} + 16q^{79} + 12q^{81} + 4q^{83} - 4q^{84} + 32q^{85} + 16q^{86} + 144q^{87} - 88q^{89} + 8q^{90} - 8q^{91} - 76q^{93} - 8q^{94} + 48q^{95} - 4q^{96} - 64q^{97} - 40q^{99} + O(q^{100}) \)

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
\(3\) 0.442137 + 1.67467i 0.255268 + 0.966870i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) 0.359298 + 0.359298i 0.160683 + 0.160683i 0.782869 0.622186i \(-0.213755\pi\)
−0.622186 + 0.782869i \(0.713755\pi\)
\(6\) 0.860508 + 1.50317i 0.351301 + 0.613667i
\(7\) −0.258819 + 0.965926i −0.0978244 + 0.365086i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) −2.60903 + 1.48087i −0.869676 + 0.493622i
\(10\) 0.440048 + 0.254062i 0.139155 + 0.0803414i
\(11\) 0.529024 + 1.97435i 0.159507 + 0.595288i 0.998677 + 0.0514190i \(0.0163744\pi\)
−0.839170 + 0.543869i \(0.816959\pi\)
\(12\) 1.22024 + 1.22924i 0.352252 + 0.354850i
\(13\) −0.322715 + 3.59108i −0.0895050 + 0.995986i
\(14\) 1.00000i 0.267261i
\(15\) −0.442846 + 0.760564i −0.114342 + 0.196377i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) 0.334378 + 0.579160i 0.0810986 + 0.140467i 0.903722 0.428120i \(-0.140824\pi\)
−0.822623 + 0.568586i \(0.807490\pi\)
\(18\) −2.13685 + 2.10567i −0.503661 + 0.496312i
\(19\) 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
\(21\) −1.73204 0.00636431i −0.377962 0.00138881i
\(22\) 1.02200 + 1.77015i 0.217890 + 0.377397i
\(23\) 3.54554 6.14106i 0.739297 1.28050i −0.213515 0.976940i \(-0.568491\pi\)
0.952812 0.303560i \(-0.0981753\pi\)
\(24\) 1.49681 + 0.871531i 0.305535 + 0.177901i
\(25\) 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 0.721238 0.692687i \(-0.243573\pi\)
−0.239265 + 0.970954i \(0.576907\pi\)
\(30\) −0.230908 + 0.849265i −0.0421578 + 0.155054i
\(31\) −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
\(33\) −3.07247 + 1.75887i −0.534849 + 0.306180i
\(34\) 0.472882 + 0.472882i 0.0810986 + 0.0810986i
\(35\) −0.440048 + 0.254062i −0.0743817 + 0.0429443i
\(36\) −1.51905 + 2.58698i −0.253175 + 0.431164i
\(37\) −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
\(39\) −6.15655 + 1.04731i −0.985837 + 0.167704i
\(40\) 0.508124 0.0803414
\(41\) 5.56092 1.49004i 0.868470 0.232706i 0.203044 0.979170i \(-0.434917\pi\)
0.665426 + 0.746464i \(0.268250\pi\)
\(42\) −1.67467 + 0.442137i −0.258407 + 0.0682233i
\(43\) −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
\(45\) −1.46949 0.405346i −0.219059 0.0604255i
\(46\) 1.83531 6.84946i 0.270601 1.00990i
\(47\) 9.15457 9.15457i 1.33533 1.33533i 0.434807 0.900524i \(-0.356816\pi\)
0.900524 0.434807i \(-0.143184\pi\)
\(48\) 1.67137 + 0.454432i 0.241242 + 0.0655916i
\(49\) −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 \(0.0594202\pi\)
−0.982627 + 0.185592i \(0.940580\pi\)
\(54\) −4.47109 2.64752i −0.608438 0.360282i
\(55\) −0.519301 + 0.899456i −0.0700225 + 0.121283i
\(56\) 0.500000 + 0.866025i 0.0668153 + 0.115728i
\(57\) −0.0205150 + 5.58313i −0.00271728 + 0.739504i
\(58\) 2.89491 + 0.775689i 0.380120 + 0.101853i
\(59\) −1.53497 0.411293i −0.199836 0.0535458i 0.157513 0.987517i \(-0.449652\pi\)
−0.357348 + 0.933971i \(0.616319\pi\)
\(60\) −0.00323386 + 0.880090i −0.000417489 + 0.113619i
\(61\) 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
\(63\) −0.755141 2.90341i −0.0951388 0.365795i
\(64\) 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
\(69\) 11.8519 + 3.22242i 1.42680 + 0.387934i
\(70\) −0.359298 + 0.359298i −0.0429443 + 0.0429443i
\(71\) 3.72928 13.9179i 0.442585 1.65175i −0.279652 0.960102i \(-0.590219\pi\)
0.722236 0.691647i \(-0.243114\pi\)
\(72\) −0.797731 + 2.89199i −0.0940135 + 0.340825i
\(73\) 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
\(75\) 7.94096 2.09653i 0.916943 0.242087i
\(76\) 3.11361 0.834289i 0.357155 0.0956995i
\(77\) −2.04399 −0.232935
\(78\) −5.67571 + 2.60506i −0.642648 + 0.294965i
\(79\) −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
\(81\) 4.61407 7.72725i 0.512674 0.858583i
\(82\) 4.98579 2.87854i 0.550588 0.317882i
\(83\) 2.91896 + 2.91896i 0.320398 + 0.320398i 0.848920 0.528522i \(-0.177254\pi\)
−0.528522 + 0.848920i \(0.677254\pi\)
\(84\) −1.50317 + 0.860508i −0.164010 + 0.0938891i
\(85\) −0.0879495 + 0.328232i −0.00953947 + 0.0356018i
\(86\) −3.34207 + 3.34207i −0.360385 + 0.360385i
\(87\) −1.36195 + 5.00916i −0.146016 + 0.537038i
\(88\) 1.77015 + 1.02200i 0.188699 + 0.108945i
\(89\) −3.28237 12.2500i −0.347930 1.29849i −0.889151 0.457614i \(-0.848704\pi\)
0.541221 0.840881i \(-0.317962\pi\)
\(90\) −1.52433 0.0112023i −0.160679 0.00118083i
\(91\) −3.38519 1.24116i −0.354865 0.130109i
\(92\) 7.09109i 0.739297i
\(93\) −8.80179 5.12493i −0.912703 0.531430i
\(94\) 6.47326 11.2120i 0.667665 1.15643i
\(95\) 0.818955 + 1.41847i 0.0840230 + 0.145532i
\(96\) 1.73204 + 0.00636431i 0.176776 + 0.000649554i
\(97\) 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
\(99\) −4.30398 4.36771i −0.432567 0.438972i
\(100\) −2.37091 4.10653i −0.237091 0.410653i
\(101\) −2.35547 + 4.07980i −0.234378 + 0.405955i −0.959092 0.283095i \(-0.908639\pi\)
0.724713 + 0.689050i \(0.241972\pi\)
\(102\) −0.582842 + 1.00100i −0.0577099 + 0.0991137i
\(103\) 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 −0.0100681 0.999949i \(-0.503205\pi\)
−0.871016 + 0.491255i \(0.836538\pi\)
\(108\) −5.00397 1.40011i −0.481507 0.134725i
\(109\) 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
\(111\) −4.22811 7.38584i −0.401314 0.701032i
\(112\) 0.707107 + 0.707107i 0.0668153 + 0.0668153i
\(113\) −4.97841 + 2.87429i −0.468330 + 0.270390i −0.715540 0.698572i \(-0.753819\pi\)
0.247211 + 0.968962i \(0.420486\pi\)
\(114\) 1.42521 + 5.39820i 0.133483 + 0.505588i
\(115\) 3.48038 0.932564i 0.324547 0.0869620i
\(116\) 2.99703 0.278267
\(117\) −4.47594 9.84713i −0.413801 0.910368i
\(118\) −1.58911 −0.146290
\(119\) −0.645969 + 0.173087i −0.0592159 + 0.0158668i
\(120\) 0.224661 + 0.850939i 0.0205086 + 0.0776798i
\(121\) 5.90810 3.41105i 0.537100 0.310095i
\(122\) 1.49790 + 1.49790i 0.135614 + 0.135614i
\(123\) 4.95402 + 8.65390i 0.446689 + 0.780295i
\(124\) −1.52195 + 5.68001i −0.136675 + 0.510080i
\(125\) 3.50021 3.50021i 0.313068 0.313068i
\(126\) −1.48087 2.60903i −0.131926 0.232431i
\(127\) 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 \(-0.927612\pi\)
0.974253 0.225459i \(-0.0723882\pi\)
\(132\) −1.78140 + 3.05947i −0.155051 + 0.266292i
\(133\) −1.61172 + 2.79159i −0.139754 + 0.242061i
\(134\) −6.86017 11.8822i −0.592629 1.02646i
\(135\) 0.0291042 2.64013i 0.00250489 0.227226i
\(136\) 0.645969 + 0.173087i 0.0553914 + 0.0148421i
\(137\) 4.58404 + 1.22829i 0.391641 + 0.104940i 0.449265 0.893399i \(-0.351686\pi\)
−0.0576244 + 0.998338i \(0.518353\pi\)
\(138\) 12.2820 + 0.0451299i 1.04552 + 0.00384171i
\(139\) −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
\(141\) 19.3784 + 11.2833i 1.63196 + 0.950224i
\(142\) 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
\(147\) 0.454432 1.67137i 0.0374809 0.137853i
\(148\) −3.47437 + 3.47437i −0.285591 + 0.285591i
\(149\) −3.08364 + 11.5083i −0.252622 + 0.942798i 0.716776 + 0.697303i \(0.245617\pi\)
−0.969398 + 0.245494i \(0.921050\pi\)
\(150\) 7.12776 4.08037i 0.581979 0.333160i
\(151\) −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
\(153\) −1.73006 1.01588i −0.139867 0.0821287i
\(154\) −1.97435 + 0.529024i −0.159097 + 0.0426300i
\(155\) −2.98796 −0.239999
\(156\) −4.80808 + 3.98527i −0.384954 + 0.319077i
\(157\) −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
\(159\) −4.52539 + 1.19477i −0.358886 + 0.0947513i
\(160\) 0.440048 0.254062i 0.0347889 0.0200854i
\(161\) 5.01416 + 5.01416i 0.395171 + 0.395171i
\(162\) 2.45689 8.65816i 0.193031 0.680249i
\(163\) −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
\(165\) −1.73589 0.471974i −0.135139 0.0367431i
\(166\) 3.57498 + 2.06402i 0.277473 + 0.160199i
\(167\) −1.50540 5.61824i −0.116492 0.434752i 0.882903 0.469556i \(-0.155586\pi\)
−0.999394 + 0.0348038i \(0.988919\pi\)
\(168\) −1.22924 + 1.22024i −0.0948377 + 0.0941433i
\(169\) −12.7917 2.31779i −0.983978 0.178291i
\(170\) 0.339811i 0.0260623i
\(171\) −9.35897 + 2.43416i −0.715698 + 0.186145i
\(172\) −2.36320 + 4.09318i −0.180192 + 0.312102i
\(173\) 8.73192 + 15.1241i 0.663876 + 1.14987i 0.979589 + 0.201012i \(0.0644230\pi\)
−0.315713 + 0.948855i \(0.602244\pi\)
\(174\) −0.0190740 + 5.19097i −0.00144600 + 0.393527i
\(175\) 4.58024 + 1.22727i 0.346233 + 0.0927729i
\(176\) 1.97435 + 0.529024i 0.148822 + 0.0398767i
\(177\) 0.0101136 2.75241i 0.000760185 0.206884i
\(178\) −6.34105 10.9830i −0.475282 0.823212i
\(179\) −0.654352 + 1.13337i −0.0489086 + 0.0847121i −0.889443 0.457046i \(-0.848908\pi\)
0.840535 + 0.541758i \(0.182241\pi\)
\(180\) −1.47529 + 0.383705i −0.109962 + 0.0285997i
\(181\) 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
\(186\) −9.82831 2.67223i −0.720646 0.195938i
\(187\) −0.966568 + 0.966568i −0.0706824 + 0.0706824i
\(188\) 3.35080 12.5054i 0.244383 0.912048i
\(189\) 4.52837 2.54831i 0.329390 0.185363i
\(190\) 1.15818 + 1.15818i 0.0840230 + 0.0840230i
\(191\) −14.1764 + 8.18474i −1.02577 + 0.592227i −0.915769 0.401705i \(-0.868418\pi\)
−0.109998 + 0.993932i \(0.535084\pi\)
\(192\) 1.67467 0.442137i 0.120859 0.0319085i
\(193\) −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
\(195\) −2.58833 1.83574i −0.185354 0.131460i
\(196\) −1.00000 −0.0714286
\(197\) 1.67284 0.448237i 0.119185 0.0319356i −0.198733 0.980054i \(-0.563683\pi\)
0.317919 + 0.948118i \(0.397016\pi\)
\(198\) −5.28778 3.10493i −0.375786 0.220658i
\(199\) −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
\(201\) 20.6240 11.8065i 1.45471 0.832764i
\(202\) −1.21928 + 4.55042i −0.0857884 + 0.320167i
\(203\) −2.11922 + 2.11922i −0.148740 + 0.148740i
\(204\) −0.303904 + 1.11774i −0.0212776 + 0.0782576i
\(205\) 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
\(210\) −0.760564 0.442846i −0.0524839 0.0305593i
\(211\) 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
\(213\) 24.9567 + 0.0917023i 1.71000 + 0.00628334i
\(214\) −10.1653 2.72380i −0.694889 0.186195i
\(215\) −2.31976 0.621579i −0.158207 0.0423913i
\(216\) −5.19584 0.0572777i −0.353532 0.00389726i
\(217\) −2.94019 5.09255i −0.199593 0.345705i
\(218\) 0.307751 0.533041i 0.0208435 0.0361021i
\(219\) −3.08515 + 5.29857i −0.208475 + 0.358044i
\(220\) 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
\(225\) 7.02199 + 12.3715i 0.468133 + 0.824768i
\(226\) −4.06486 + 4.06486i −0.270390 + 0.270390i
\(227\) 3.85346 14.3813i 0.255763 0.954521i −0.711901 0.702280i \(-0.752166\pi\)
0.967664 0.252241i \(-0.0811677\pi\)
\(228\) 2.77380 + 4.84539i 0.183699 + 0.320894i
\(229\) 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
\(231\) −0.903726 3.42301i −0.0594608 0.225218i
\(232\) 2.89491 0.775689i 0.190060 0.0509265i
\(233\) 6.84615 0.448506 0.224253 0.974531i \(-0.428006\pi\)
0.224253 + 0.974531i \(0.428006\pi\)
\(234\) −6.87205 8.35314i −0.449240 0.546062i
\(235\) 6.57843 0.429130
\(236\) −1.53497 + 0.411293i −0.0999178 + 0.0267729i
\(237\) −6.22675 23.5849i −0.404471 1.53200i
\(238\) −0.579160 + 0.334378i −0.0375414 + 0.0216745i
\(239\) −3.42357 3.42357i −0.221452 0.221452i 0.587658 0.809110i \(-0.300050\pi\)
−0.809110 + 0.587658i \(0.800050\pi\)
\(240\) 0.437245 + 0.763798i 0.0282240 + 0.0493029i
\(241\) −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
\(243\) 14.9806 + 4.31053i 0.961008 + 0.276521i
\(244\) 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
\(249\) −3.59771 + 6.17888i −0.227996 + 0.391570i
\(250\) 2.47502 4.28687i 0.156534 0.271125i
\(251\) 8.20582 + 14.2129i 0.517946 + 0.897110i 0.999783 + 0.0208483i \(0.00663670\pi\)
−0.481836 + 0.876261i \(0.660030\pi\)
\(252\) −2.10567 2.13685i −0.132645 0.134609i
\(253\) 14.0003 + 3.75136i 0.880189 + 0.235846i
\(254\) 21.2709 + 5.69952i 1.33466 + 0.357620i
\(255\) −0.588566 0.00216266i −0.0368574 0.000135431i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −6.66638 + 11.5465i −0.415837 + 0.720251i −0.995516 0.0945940i \(-0.969845\pi\)
0.579679 + 0.814845i \(0.303178\pi\)
\(258\) −7.07451 4.11921i −0.440440 0.256451i
\(259\) 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 0.714140 0.700003i \(-0.246818\pi\)
−0.249151 + 0.968465i \(0.580151\pi\)
\(264\) −0.928856 + 3.41628i −0.0571672 + 0.210257i
\(265\) −0.970915 + 0.970915i −0.0596428 + 0.0596428i
\(266\) −0.834289 + 3.11361i −0.0511535 + 0.190908i
\(267\) 19.0634 10.9130i 1.16666 0.667868i
\(268\) −9.70175 9.70175i −0.592629 0.592629i
\(269\) −18.8995 + 10.9116i −1.15232 + 0.665295i −0.949453 0.313910i \(-0.898361\pi\)
−0.202872 + 0.979205i \(0.565028\pi\)
\(270\) −0.655203 2.55770i −0.0398744 0.155657i
\(271\) −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
\(273\) 0.581809 6.21784i 0.0352127 0.376321i
\(274\) 4.74574 0.286701
\(275\) 9.36197 2.50853i 0.564548 0.151270i
\(276\) 11.8752 3.13523i 0.714804 0.188719i
\(277\) 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
\(279\) 4.69096 17.0060i 0.280840 1.01812i
\(280\) −0.131512 + 0.490810i −0.00785935 + 0.0293315i
\(281\) 23.6538 23.6538i 1.41107 1.41107i 0.658394 0.752674i \(-0.271236\pi\)
0.752674 0.658394i \(-0.228764\pi\)
\(282\) 21.6385 + 5.88331i 1.28855 + 0.350346i
\(283\) −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
\(288\) 0.755141 + 2.90341i 0.0444971 + 0.171085i
\(289\) 8.27638 14.3351i 0.486846 0.843242i
\(290\) 0.761431 + 1.31884i 0.0447128 + 0.0774448i
\(291\) −0.111858 + 30.4420i −0.00655722 + 1.78454i
\(292\) 3.41930 + 0.916197i 0.200099 + 0.0536164i
\(293\) 20.5467 + 5.50546i 1.20035 + 0.321633i 0.802969 0.596021i \(-0.203253\pi\)
0.397381 + 0.917654i \(0.369919\pi\)
\(294\) 0.00636431 1.73204i 0.000371174 0.101015i
\(295\) −0.403733 0.699287i −0.0235063 0.0407141i
\(296\) −2.45675 + 4.25522i −0.142796 + 0.247329i
\(297\) 5.41152 9.13887i 0.314008 0.530291i
\(298\) 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
\(303\) −7.87375 2.14081i −0.452335 0.122986i
\(304\) 2.27932 2.27932i 0.130728 0.130728i
\(305\) −0.278589 + 1.03971i −0.0159520 + 0.0595336i
\(306\) −1.93404 0.533488i −0.110562 0.0304975i
\(307\) 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
\(309\) 0.320430 0.0845983i 0.0182286 0.00481263i
\(310\) −2.88615 + 0.773341i −0.163922 + 0.0439228i
\(311\) −31.1579 −1.76681 −0.883403 0.468615i \(-0.844753\pi\)
−0.883403 + 0.468615i \(0.844753\pi\)
\(312\) −3.61278 + 5.09390i −0.204533 + 0.288385i
\(313\) 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
\(315\) 0.771867 1.31451i 0.0434898 0.0740641i
\(316\) −12.1965 + 7.04165i −0.686107 + 0.396124i
\(317\) 0.227144 + 0.227144i 0.0127577 + 0.0127577i 0.713457 0.700699i \(-0.247128\pi\)
−0.700699 + 0.713457i \(0.747128\pi\)
\(318\) −4.06196 + 2.32531i −0.227783 + 0.130397i
\(319\) −1.58550 + 5.91718i −0.0887711 + 0.331298i
\(320\) 0.359298 0.359298i 0.0200854 0.0200854i
\(321\) 4.78242 17.5894i 0.266929 0.981747i
\(322\) 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
\(327\) 0.921288 + 0.536429i 0.0509474 + 0.0296646i
\(328\) 2.87854 4.98579i 0.158941 0.275294i
\(329\) 6.47326 + 11.2120i 0.356882 + 0.618138i
\(330\) −1.79890 0.00660998i −0.0990261 0.000363867i
\(331\) 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
\(333\) 10.4994 10.3462i 0.575365 0.566970i
\(334\) −2.90821 5.03717i −0.159130 0.275622i
\(335\) 3.48582 6.03761i 0.190451 0.329870i
\(336\) −0.871531 + 1.49681i −0.0475459 + 0.0816576i
\(337\) 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
\(342\) −8.41006 + 4.77349i −0.454764 + 0.258121i
\(343\) 0.707107 0.707107i 0.0381802 0.0381802i
\(344\) −1.22328 + 4.56535i −0.0659550 + 0.246147i
\(345\) 3.10054 + 5.41616i 0.166927 + 0.291596i
\(346\) 12.3488 + 12.3488i 0.663876 + 0.663876i
\(347\) −26.0998 + 15.0687i −1.40111 + 0.808932i −0.994507 0.104672i \(-0.966621\pi\)
−0.406605 + 0.913604i \(0.633287\pi\)
\(348\) 1.32510 + 5.01903i 0.0710328 + 0.269048i
\(349\) −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
\(351\) 14.5117 11.8495i 0.774577 0.632479i
\(352\) 2.04399 0.108945
\(353\) 1.42334 0.381382i 0.0757565 0.0202989i −0.220742 0.975332i \(-0.570848\pi\)
0.296498 + 0.955033i \(0.404181\pi\)
\(354\) −0.702607 2.66124i −0.0373431 0.141443i
\(355\) 6.34059 3.66074i 0.336523 0.194292i
\(356\) −8.96760 8.96760i −0.475282 0.475282i
\(357\) −0.575470 1.00526i −0.0304571 0.0532038i
\(358\) −0.338717 + 1.26411i −0.0179018 + 0.0668103i
\(359\) −14.7360 + 14.7360i −0.777736 + 0.777736i −0.979445 0.201709i \(-0.935350\pi\)
0.201709 + 0.979445i \(0.435350\pi\)
\(360\) −1.32571 + 0.752464i −0.0698711 + 0.0396583i
\(361\) −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
\(366\) −1.84621 + 3.17077i −0.0965030 + 0.165739i
\(367\) 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
\(369\) −12.3020 + 12.1226i −0.640419 + 0.631075i
\(370\) −2.41159 0.646185i −0.125373 0.0335936i
\(371\) −2.61018 0.699396i −0.135514 0.0363108i
\(372\) −10.1850 0.0374245i −0.528070 0.00194037i
\(373\) 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
\(375\) 7.40927 + 4.31412i 0.382613 + 0.222780i
\(376\) 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
\(381\) −10.0072 + 36.8058i −0.512683 + 1.88562i
\(382\) −11.5750 + 11.5750i −0.592227 + 0.592227i
\(383\) −2.19974 + 8.20953i −0.112401 + 0.419487i −0.999079 0.0428999i \(-0.986340\pi\)
0.886678 + 0.462387i \(0.153007\pi\)
\(384\) 1.50317 0.860508i 0.0767084 0.0439126i
\(385\) −0.734402 0.734402i −0.0374286 0.0374286i
\(386\) −5.82856 + 3.36512i −0.296666 + 0.171280i
\(387\) 7.17965 12.2271i 0.364962 0.621539i
\(388\) 16.9769 4.54895i 0.861872 0.230938i
\(389\) −0.833952 −0.0422830 −0.0211415 0.999776i \(-0.506730\pi\)
−0.0211415 + 0.999776i \(0.506730\pi\)
\(390\) −2.97526 1.10328i −0.150658 0.0558667i
\(391\) 4.74221 0.239824
\(392\) −0.965926 + 0.258819i −0.0487866 + 0.0130723i
\(393\) 8.64295 2.28187i 0.435979 0.115105i
\(394\) 1.49983 0.865928i 0.0755604 0.0436248i
\(395\) −5.06010 5.06010i −0.254601 0.254601i
\(396\) −5.91122 1.63056i −0.297050 0.0819386i
\(397\) −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
\(399\) −5.38758 1.46484i −0.269717 0.0733336i
\(400\) −4.10653 2.37091i −0.205326 0.118545i
\(401\) −3.71231 13.8545i −0.185384 0.691863i −0.994548 0.104280i \(-0.966746\pi\)
0.809164 0.587583i \(-0.199920\pi\)
\(402\) 16.8656 16.7421i 0.841177 0.835018i
\(403\) −13.5900 16.2738i −0.676968 0.810654i
\(404\) 4.71095i 0.234378i
\(405\) 4.43421 1.11856i 0.220338 0.0555817i
\(406\) −1.49852 + 2.59550i −0.0743701 + 0.128813i
\(407\) −5.02158 8.69763i −0.248911 0.431126i
\(408\) −0.00425617 + 1.15831i −0.000210712 + 0.0573450i
\(409\) −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
\(411\) −0.0302034 + 8.21981i −0.00148982 + 0.405453i
\(412\) −0.0956697 0.165705i −0.00471331 0.00816369i
\(413\) 0.794557 1.37621i 0.0390976 0.0677190i
\(414\) 5.35477 + 20.5883i 0.263173 + 1.01186i
\(415\) 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 −0.112573 0.993644i \(-0.535909\pi\)
−0.916807 + 0.399331i \(0.869242\pi\)
\(420\) −0.849265 0.230908i −0.0414399 0.0112671i
\(421\) 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
\(423\) −10.3278 + 37.4412i −0.502157 + 1.82045i
\(424\) 1.91078 + 1.91078i 0.0927959 + 0.0927959i
\(425\) 2.74627 1.58556i 0.133213 0.0769108i
\(426\) 24.1300 6.37069i 1.16910 0.308661i
\(427\) −2.04617 + 0.548270i −0.0990212 + 0.0265327i
\(428\) −10.5239 −0.508694
\(429\) −5.32472 11.6011i −0.257080 0.560107i
\(430\) −2.40160 −0.115815
\(431\) 8.73059 2.33935i 0.420538 0.112683i −0.0423435 0.999103i \(-0.513482\pi\)
0.462881 + 0.886420i \(0.346816\pi\)
\(432\) −5.03362 + 1.28946i −0.242180 + 0.0620390i
\(433\) 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
\(435\) −2.28912 + 1.31044i −0.109755 + 0.0628306i
\(436\) 0.159304 0.594529i 0.00762926 0.0284728i
\(437\) 16.1629 16.1629i 0.773174 0.773174i
\(438\) −1.60865 + 5.91652i −0.0768643 + 0.282702i
\(439\) −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 \(0.277225\pi\)
−0.644118 + 0.764926i \(0.722775\pi\)
\(444\) −7.35456 4.28227i −0.349032 0.203227i
\(445\) 3.22204 5.58074i 0.152739 0.264552i
\(446\) 2.84696 + 4.93107i 0.134807 + 0.233493i
\(447\) −20.6360 0.0758261i −0.976049 0.00358645i
\(448\) 0.965926 + 0.258819i 0.0456357 + 0.0122281i
\(449\) −33.3902 8.94687i −1.57578 0.422229i −0.638163 0.769901i \(-0.720305\pi\)
−0.937616 + 0.347672i \(0.886972\pi\)
\(450\) 9.98471 + 10.1325i 0.470684 + 0.477653i
\(451\) 5.88373 + 10.1909i 0.277054 + 0.479871i
\(452\) −2.87429 + 4.97841i −0.135195 + 0.234165i
\(453\) 9.71764 16.6895i 0.456574 0.784142i
\(454\) 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
\(459\) 0.936330 3.34643i 0.0437042 0.156198i
\(460\) 2.54781 2.54781i 0.118792 0.118792i
\(461\) −4.57904 + 17.0892i −0.213267 + 0.795924i 0.773502 + 0.633794i \(0.218503\pi\)
−0.986769 + 0.162130i \(0.948164\pi\)
\(462\) −1.75887 3.07247i −0.0818302 0.142944i
\(463\) −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
\(465\) −1.32109 5.00384i −0.0612640 0.232048i
\(466\) 6.61287 1.77191i 0.306335 0.0820823i
\(467\) 17.9717 0.831629 0.415814 0.909449i \(-0.363497\pi\)
0.415814 + 0.909449i \(0.363497\pi\)
\(468\) −8.79984 6.28990i −0.406773 0.290751i
\(469\) 13.7203 0.633547
\(470\) 6.35428 1.70262i 0.293101 0.0785362i
\(471\) −7.25664 27.4857i −0.334368 1.26648i
\(472\) −1.37621 + 0.794557i −0.0633453 + 0.0365725i
\(473\) −6.83117 6.83117i −0.314098 0.314098i
\(474\) −12.1188 21.1696i −0.556635 0.972353i
\(475\) 3.95604 14.7641i 0.181516 0.677425i
\(476\) −0.472882 + 0.472882i −0.0216745 + 0.0216745i
\(477\) −4.00168 7.05027i −0.183224 0.322810i
\(478\) −4.19300 2.42083i −0.191783 0.110726i
\(479\) −1.26728 4.72955i −0.0579035 0.216099i 0.930912 0.365244i \(-0.119014\pi\)
−0.988815 + 0.149145i \(0.952348\pi\)
\(480\) 0.620031 + 0.624605i 0.0283004 + 0.0285092i
\(481\) −3.03517 17.4539i −0.138392 0.795831i
\(482\) 16.6788i 0.759697i
\(483\) −6.18010 + 10.6140i −0.281204 + 0.482953i
\(484\) 3.41105 5.90810i 0.155048 0.268550i
\(485\) 4.46534 + 7.73419i 0.202761 + 0.351192i
\(486\) 15.5858 + 0.286378i 0.706987 + 0.0129904i
\(487\) 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
\(489\) −18.7174 0.0687764i −0.846431 0.00311018i
\(490\) −0.254062 0.440048i −0.0114773 0.0198794i
\(491\) 13.1003 22.6905i 0.591210 1.02401i −0.402859 0.915262i \(-0.631984\pi\)
0.994070 0.108744i \(-0.0346830\pi\)
\(492\) 8.61726 + 5.01748i 0.388496 + 0.226206i
\(493\) 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
\(498\) −1.87591 + 6.89949i −0.0840617 + 0.309174i
\(499\) 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
\(501\) 8.74309 5.00508i 0.390612 0.223611i
\(502\) 11.6048 + 11.6048i 0.517946 + 0.517946i
\(503\) −34.4202 + 19.8725i −1.53472 + 0.886071i −0.535586 + 0.844481i \(0.679909\pi\)
−0.999135 + 0.0415906i \(0.986757\pi\)
\(504\) −2.58698 1.51905i −0.115233 0.0676640i
\(505\) −2.31218 + 0.619547i −0.102891 + 0.0275695i
\(506\) 14.4941 0.644343
\(507\) −1.77416 22.4467i −0.0787934 0.996891i
\(508\) 22.0213 0.977036
\(509\) −31.9237 + 8.55392i −1.41499 + 0.379146i −0.883704 0.468046i \(-0.844958\pi\)
−0.531287 + 0.847192i \(0.678291\pi\)
\(510\) −0.569071 + 0.150243i −0.0251989 + 0.00665288i
\(511\) −3.06566 + 1.76996i −0.135617 + 0.0782983i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) −8.21435 14.5969i −0.362673 0.644471i
\(514\) −3.45077 + 12.8785i −0.152207 + 0.568044i
\(515\) 0.0687479 0.0687479i 0.00302939 0.00302939i
\(516\) −7.89958 2.14783i −0.347760 0.0945529i
\(517\) 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 \(-0.852069\pi\)
0.893938 0.448190i \(-0.147931\pi\)
\(522\) −8.70159 + 2.26318i −0.380858 + 0.0990567i
\(523\) 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
\(525\) −0.0301783 + 8.21300i −0.00131709 + 0.358445i
\(526\) 8.41073 + 2.25365i 0.366725 + 0.0982638i
\(527\) −3.79854 1.01782i −0.165467 0.0443367i
\(528\) −0.0130086 + 3.54028i −0.000566127 + 0.154071i
\(529\) −13.6418 23.6282i −0.593120 1.02731i
\(530\) −0.686541 + 1.18912i −0.0298214 + 0.0516522i
\(531\) 4.61384 1.20001i 0.200224 0.0520758i
\(532\) 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
\(537\) −2.18733 0.594717i −0.0943904 0.0256639i
\(538\) −15.4314 + 15.4314i −0.665295 + 0.665295i
\(539\) 0.529024 1.97435i 0.0227867 0.0850411i
\(540\) −1.29486 2.30097i −0.0557219 0.0990180i
\(541\) 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
\(543\) −7.35331 + 1.94138i −0.315561 + 0.0833127i
\(544\) 0.645969 0.173087i 0.0276957 0.00742104i
\(545\) 0.312751 0.0133968
\(546\) −1.04731 6.15655i −0.0448207 0.263476i
\(547\) 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
\(549\) −5.48015 3.21789i −0.233887 0.137336i
\(550\) 8.39372 4.84611i 0.357909 0.206639i
\(551\) 6.83119 + 6.83119i 0.291019 + 0.291019i
\(552\) 10.6591 6.10194i 0.453682 0.259716i
\(553\) 3.64503 13.6034i 0.155002 0.578477i
\(554\) 0.878997 0.878997i 0.0373450 0.0373450i
\(555\) 1.13457 4.17286i 0.0481596 0.177128i
\(556\) −8.39360 4.84605i −0.355968 0.205518i
\(557\) −9.02390 33.6777i −0.382355 1.42697i −0.842294 0.539018i \(-0.818795\pi\)
0.459939 0.887950i \(-0.347871\pi\)
\(558\) 0.129641 17.6406i 0.00548816 0.746788i
\(559\) −7.16551 15.4616i −0.303069 0.653956i
\(560\) 0.508124i 0.0214722i
\(561\) −2.04604 1.19132i −0.0863837 0.0502978i
\(562\) 16.7258 28.9699i 0.705534 1.22202i
\(563\) −14.1837 24.5669i −0.597772 1.03537i −0.993149 0.116853i \(-0.962720\pi\)
0.395377 0.918519i \(-0.370614\pi\)
\(564\) 22.4239 + 0.0823956i 0.944215 + 0.00346948i
\(565\) −2.82146 0.756008i −0.118700 0.0318055i
\(566\) −18.5066 4.95882i −0.777889 0.208435i
\(567\) 6.26974 + 6.45681i 0.263304 + 0.271160i
\(568\) −7.20442 12.4784i −0.302291 0.523583i
\(569\) 7.99602 13.8495i 0.335211 0.580602i −0.648315 0.761373i \(-0.724526\pi\)
0.983525 + 0.180771i \(0.0578591\pi\)
\(570\) −1.42749 + 2.45164i −0.0597909 + 0.102688i
\(571\) 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
\(576\) 1.48087 + 2.60903i 0.0617028 + 0.108710i
\(577\) 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
\(579\) −5.79142 10.1167i −0.240683 0.420436i
\(580\) 1.07683 + 1.07683i 0.0447128 + 0.0447128i
\(581\) −3.57498 + 2.06402i −0.148315 + 0.0856299i
\(582\) 7.77091 + 29.4336i 0.322115 + 1.22006i
\(583\) −5.33519 + 1.42956i −0.220961 + 0.0592063i
\(584\) 3.53991 0.146483
\(585\) 1.92986 5.14625i 0.0797898 0.212771i
\(586\) 21.2715 0.878717
\(587\) 39.8579 10.6799i 1.64511 0.440806i 0.686872 0.726778i \(-0.258983\pi\)
0.958238 + 0.285972i \(0.0923165\pi\)
\(588\) −0.442137 1.67467i −0.0182334 0.0690622i
\(589\) −16.4156 + 9.47753i −0.676392 + 0.390515i
\(590\) −0.570965 0.570965i −0.0235063 0.0235063i
\(591\) 1.49028 + 2.60328i 0.0613018 + 0.107085i
\(592\) −1.27171 + 4.74608i −0.0522668 + 0.195063i
\(593\) −4.52692 + 4.52692i −0.185898 + 0.185898i −0.793920 0.608022i \(-0.791963\pi\)
0.608022 + 0.793920i \(0.291963\pi\)
\(594\) 2.86181 10.2281i 0.117422 0.419663i
\(595\) −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 \(-0.764913\pi\)
0.739448 0.673214i \(-0.235087\pi\)
\(600\) 4.13264 7.09758i 0.168714 0.289757i
\(601\) −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
\(603\) 28.8906 + 29.3184i 1.17652 + 1.19394i
\(604\) −10.7701 2.88585i −0.438231 0.117424i
\(605\) 3.34835 + 0.897188i 0.136130 + 0.0364759i
\(606\) −8.15954 0.0299819i −0.331459 0.00121793i
\(607\) −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
\(609\) −4.48598 2.61201i −0.181781 0.105844i
\(610\) 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
\(615\) −1.32936 + 4.88929i −0.0536048 + 0.197155i
\(616\) −1.44532 + 1.44532i −0.0582337 + 0.0582337i
\(617\) 2.33842 8.72710i 0.0941413 0.351340i −0.902747 0.430173i \(-0.858453\pi\)
0.996888 + 0.0788328i \(0.0251193\pi\)
\(618\) 0.287616 0.164649i 0.0115696 0.00662316i
\(619\) 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
\(621\) −35.6938 + 9.14364i −1.43234 + 0.366922i
\(622\) −30.0963 + 8.06427i −1.20675 + 0.323348i
\(623\) 12.6821 0.508098
\(624\) −2.17128 + 5.85539i −0.0869207 + 0.234403i
\(625\) −21.1938 −0.847753
\(626\) 12.9485 3.46954i 0.517527 0.138671i
\(627\) −11.0339 + 2.91311i −0.440651 + 0.116338i
\(628\) −14.2138 + 8.20632i −0.567191 + 0.327468i
\(629\) −2.32351 2.32351i −0.0926442 0.0926442i
\(630\) 0.405346 1.46949i 0.0161494 0.0585459i
\(631\) −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
\(633\) 11.1975 + 3.04450i 0.445061 + 0.121008i
\(634\) 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
\(639\) 10.8807 + 41.8347i 0.430434 + 1.65496i
\(640\) 0.254062 0.440048i 0.0100427 0.0173944i
\(641\) −10.0179 17.3515i −0.395682 0.685342i 0.597506 0.801865i \(-0.296159\pi\)
−0.993188 + 0.116523i \(0.962825\pi\)
\(642\) 0.0669776 18.2279i 0.00264339 0.719397i
\(643\) −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
\(645\) 0.0152845 4.15966i 0.000601827 0.163786i
\(646\) 1.07785 + 1.86689i 0.0424074 + 0.0734518i
\(647\) 19.5964 33.9420i 0.770415 1.33440i −0.166921 0.985970i \(-0.553383\pi\)
0.937336 0.348427i \(-0.113284\pi\)
\(648\) −2.20135 8.72663i −0.0864773 0.342814i
\(649\) 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 0.113850 0.993498i \(-0.463682\pi\)
−0.803469 + 0.595346i \(0.797015\pi\)
\(654\) 1.02873 + 0.279704i 0.0402267 + 0.0109373i
\(655\) 1.85433 1.85433i 0.0724548 0.0724548i
\(656\) 1.49004 5.56092i 0.0581765 0.217117i
\(657\) −10.2374 2.82390i −0.399399 0.110171i
\(658\) 9.15457 + 9.15457i 0.356882 + 0.356882i
\(659\) 14.3376 8.27782i 0.558514 0.322458i −0.194035 0.980995i \(-0.562158\pi\)
0.752549 + 0.658537i \(0.228824\pi\)
\(660\) −1.73931 + 0.459205i −0.0677027 + 0.0178745i
\(661\) −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
\(663\) −2.66518 3.21543i −0.103507 0.124877i
\(664\) 4.12804 0.160199
\(665\) −1.58210 + 0.423922i −0.0613512 + 0.0164390i
\(666\) 7.46386 12.7111i 0.289219 0.492547i
\(667\) 18.4050 10.6261i 0.712643 0.411444i
\(668\) −4.11283 4.11283i −0.159130 0.159130i
\(669\) −8.55893 + 4.89966i −0.330907 + 0.189432i
\(670\) 1.80439 6.73408i 0.0697098 0.260160i
\(671\) −3.06170 + 3.06170i −0.118196 + 0.118196i
\(672\) −0.454432 + 1.67137i −0.0175301 + 0.0644747i
\(673\) −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 \(0.0238489\pi\)
−0.997195 + 0.0748536i \(0.976151\pi\)
\(678\) −8.60451 5.01006i −0.330454 0.192410i
\(679\) −8.78790 + 15.2211i −0.337248 + 0.584131i
\(680\) 0.169905 + 0.294285i 0.00651558 + 0.0112853i
\(681\) 25.7877 + 0.0947558i 0.988186 + 0.00363105i
\(682\) −11.6099 3.11086i −0.444566 0.119121i
\(683\) 39.2280 + 10.5111i 1.50102 + 0.402196i 0.913440 0.406973i \(-0.133416\pi\)
0.587576 + 0.809169i \(0.300082\pi\)
\(684\) −6.88803 + 6.78752i −0.263370 + 0.259527i
\(685\) 1.20571 + 2.08836i 0.0460679 + 0.0797920i
\(686\) 0.500000 0.866025i 0.0190901 0.0330650i
\(687\) −12.6399 + 21.7083i −0.482242 + 0.828224i
\(688\) 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
\(693\) 5.33284 3.02688i 0.202578 0.114982i
\(694\) −21.3104 + 21.3104i −0.808932 + 0.808932i
\(695\) 1.27463 4.75697i 0.0483494 0.180442i
\(696\) 2.57897 + 4.50505i 0.0977556 + 0.170764i
\(697\) 2.72242 + 2.72242i 0.103119 + 0.103119i
\(698\) −18.8258 + 10.8691i −0.712566 + 0.411400i
\(699\) 3.02694 + 11.4650i 0.114489 + 0.433647i
\(700\) 4.58024 1.22727i 0.173117 0.0463865i
\(701\) −14.2382 −0.537770 −0.268885 0.963172i \(-0.586655\pi\)
−0.268885 + 0.963172i \(0.586655\pi\)
\(702\) 10.9504 15.2016i 0.413294 0.573749i
\(703\) −15.8384 −0.597356
\(704\) 1.97435 0.529024i 0.0744110 0.0199384i
\(705\) 2.90857 + 11.0167i 0.109543 + 0.414913i
\(706\) 1.27613 0.736773i 0.0480277 0.0277288i
\(707\) −3.33114 3.33114i −0.125280 0.125280i
\(708\) −1.36745 2.38871i −0.0513917 0.0897733i
\(709\) −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
\(711\) 36.7438 20.8555i 1.37800 0.782142i
\(712\) −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
\(717\) 4.21965 7.24703i 0.157586 0.270645i
\(718\) −10.4199 + 18.0478i −0.388868 + 0.673539i
\(719\) 17.8930 + 30.9917i 0.667298 + 1.15579i 0.978657 + 0.205502i \(0.0658826\pi\)
−0.311359 + 0.950292i \(0.600784\pi\)
\(720\) −1.08579 + 1.06994i −0.0404648 + 0.0398744i
\(721\) 0.184820 + 0.0495223i 0.00688305 + 0.00184431i
\(722\) −8.31604 2.22828i −0.309491 0.0829279i
\(723\) −28.8883 0.106149i −1.07437 0.00394772i
\(724\) 2.19545 + 3.80264i 0.0815934 + 0.141324i
\(725\) 7.10568 12.3074i 0.263898 0.457085i
\(726\) 10.2114 + 5.94566i 0.378979 + 0.220664i
\(727\) 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
\(732\) −0.962648 + 3.54056i −0.0355805 + 0.130863i
\(733\) −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
\(735\) 0.763798 0.437245i 0.0281731 0.0161280i
\(736\) −5.01416 5.01416i −0.184824 0.184824i
\(737\) 24.2871 14.0222i 0.894626 0.516513i
\(738\) −8.74532 + 14.8935i −0.321920 + 0.548237i
\(739\) 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
\(741\) −20.0429 1.87543i −0.736293 0.0688957i
\(742\) −2.70226 −0.0992030
\(743\) 9.37865 2.51300i 0.344069 0.0921930i −0.0826464 0.996579i \(-0.526337\pi\)
0.426716 + 0.904386i \(0.359671\pi\)
\(744\) −9.84768 + 2.59993i −0.361033 + 0.0953182i
\(745\) −5.24286 + 3.02697i −0.192083 + 0.110899i
\(746\) 1.57035 + 1.57035i 0.0574948 + 0.0574948i
\(747\) −11.9383 3.29306i −0.436798 0.120487i
\(748\) −0.353788 + 1.32036i −0.0129358 + 0.0482770i
\(749\) 7.44155 7.44155i 0.271908 0.271908i
\(750\) 8.27338 + 2.24946i 0.302101 + 0.0821387i
\(751\) 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
\(756\) 2.64752 4.47109i 0.0962895 0.162612i
\(757\) −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
\(759\) −0.0922451 + 25.1044i −0.00334829 + 0.911232i
\(760\) 1.58210 + 0.423922i 0.0573888 + 0.0153773i
\(761\) −22.2002 5.94853i −0.804758 0.215634i −0.167086 0.985942i \(-0.553436\pi\)
−0.637672 + 0.770308i \(0.720102\pi\)
\(762\) −0.140150 + 38.1417i −0.00507710 + 1.38173i
\(763\) 0.307751 + 0.533041i 0.0111413 + 0.0192974i
\(764\) −8.18474 + 14.1764i −0.296113 + 0.512884i
\(765\) −0.256605 0.986609i −0.00927758 0.0356709i
\(766\) 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
\(771\) −22.2840 6.05883i −0.802539 0.218204i
\(772\) −4.75900 + 4.75900i −0.171280 + 0.171280i
\(773\) −3.28552 + 12.2617i −0.118172 + 0.441024i −0.999505 0.0314723i \(-0.989980\pi\)
0.881333 +