Properties

Label 770.2.w.b.139.4
Level $770$
Weight $2$
Character 770.139
Analytic conductor $6.148$
Analytic rank $0$
Dimension $96$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.w (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(96\)
Relative dimension: \(24\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 139.4
Character \(\chi\) \(=\) 770.139
Dual form 770.2.w.b.349.4

$q$-expansion

\(f(q)\) \(=\) \(q+(0.809017 + 0.587785i) q^{2} +(-0.732958 + 2.25581i) q^{3} +(0.309017 + 0.951057i) q^{4} +(0.464104 + 2.18737i) q^{5} +(-1.91891 + 1.39417i) q^{6} +(-2.63063 - 0.282464i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-2.12441 - 1.54347i) q^{9} +O(q^{10})\) \(q+(0.809017 + 0.587785i) q^{2} +(-0.732958 + 2.25581i) q^{3} +(0.309017 + 0.951057i) q^{4} +(0.464104 + 2.18737i) q^{5} +(-1.91891 + 1.39417i) q^{6} +(-2.63063 - 0.282464i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-2.12441 - 1.54347i) q^{9} +(-0.910238 + 2.04242i) q^{10} +(-2.63315 - 2.01656i) q^{11} -2.37190 q^{12} +(0.478040 - 0.657965i) q^{13} +(-1.96220 - 1.77476i) q^{14} +(-5.27447 - 0.556321i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(0.374125 + 0.514939i) q^{17} +(-0.811453 - 2.49739i) q^{18} +(-0.231172 + 0.711476i) q^{19} +(-1.93690 + 1.11733i) q^{20} +(2.56533 - 5.72717i) q^{21} +(-0.944954 - 3.17916i) q^{22} +5.84039i q^{23} +(-1.91891 - 1.39417i) q^{24} +(-4.56921 + 2.03034i) q^{25} +(0.773484 - 0.251320i) q^{26} +(-0.717833 + 0.521536i) q^{27} +(-0.544270 - 2.58916i) q^{28} +(8.07009 - 2.62213i) q^{29} +(-3.94014 - 3.55033i) q^{30} +(2.72989 - 3.75737i) q^{31} -1.00000 q^{32} +(6.47898 - 4.46183i) q^{33} +0.636500i q^{34} +(-0.603032 - 5.88527i) q^{35} +(0.811453 - 2.49739i) q^{36} +(-3.85636 + 1.25301i) q^{37} +(-0.605217 + 0.439716i) q^{38} +(1.13386 + 1.56063i) q^{39} +(-2.22373 - 0.234546i) q^{40} +(-0.693842 + 2.13543i) q^{41} +(5.44174 - 3.12552i) q^{42} +1.78702 q^{43} +(1.10418 - 3.12743i) q^{44} +(2.39021 - 5.36321i) q^{45} +(-3.43289 + 4.72497i) q^{46} +(-1.40295 + 4.31784i) q^{47} +(-0.732958 - 2.25581i) q^{48} +(6.84043 + 1.48612i) q^{49} +(-4.88998 - 1.04314i) q^{50} +(-1.43582 + 0.466527i) q^{51} +(0.773484 + 0.251320i) q^{52} +(1.23908 - 1.70545i) q^{53} -0.887291 q^{54} +(3.18893 - 6.69558i) q^{55} +(1.08155 - 2.41459i) q^{56} +(-1.43552 - 1.04296i) q^{57} +(8.07009 + 2.62213i) q^{58} +(-11.4455 + 3.71887i) q^{59} +(-1.10081 - 5.18824i) q^{60} +(-9.48273 + 6.88961i) q^{61} +(4.41705 - 1.43519i) q^{62} +(5.15256 + 4.66038i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(1.66108 + 0.740287i) q^{65} +(7.86420 + 0.198551i) q^{66} +7.11959i q^{67} +(-0.374125 + 0.514939i) q^{68} +(-13.1748 - 4.28076i) q^{69} +(2.97141 - 5.11573i) q^{70} +(6.16231 - 4.47718i) q^{71} +(2.12441 - 1.54347i) q^{72} +(9.50651 - 3.08885i) q^{73} +(-3.85636 - 1.25301i) q^{74} +(-1.23103 - 11.7954i) q^{75} -0.748090 q^{76} +(6.35723 + 6.04861i) q^{77} +1.92904i q^{78} +(-9.15919 + 12.6065i) q^{79} +(-1.66117 - 1.49683i) q^{80} +(-3.08470 - 9.49374i) q^{81} +(-1.81650 + 1.31977i) q^{82} +(-4.36182 - 6.00353i) q^{83} +(6.23959 + 0.669978i) q^{84} +(-0.952731 + 1.05734i) q^{85} +(1.44573 + 1.05039i) q^{86} +20.1265i q^{87} +(2.73155 - 1.88112i) q^{88} +10.1872i q^{89} +(5.08614 - 2.93400i) q^{90} +(-1.44340 + 1.59583i) q^{91} +(-5.55454 + 1.80478i) q^{92} +(6.47503 + 8.91211i) q^{93} +(-3.67298 + 2.66857i) q^{94} +(-1.66355 - 0.175462i) q^{95} +(0.732958 - 2.25581i) q^{96} +(-9.78252 - 7.10742i) q^{97} +(4.66050 + 5.22300i) q^{98} +(2.48137 + 8.34821i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 96 q + 24 q^{2} - 24 q^{4} + 3 q^{7} + 24 q^{8} - 18 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 96 q + 24 q^{2} - 24 q^{4} + 3 q^{7} + 24 q^{8} - 18 q^{9} + 4 q^{11} - 3 q^{14} - 6 q^{15} - 24 q^{16} + 28 q^{18} - 4 q^{22} + 38 q^{25} - 2 q^{28} + 6 q^{30} - 96 q^{32} + 46 q^{35} - 28 q^{36} + 10 q^{39} - 24 q^{43} - 16 q^{44} + 37 q^{49} - 8 q^{50} - 30 q^{51} + 40 q^{53} + 2 q^{56} - 20 q^{57} + 14 q^{60} + 63 q^{63} - 24 q^{64} - 40 q^{65} + 39 q^{70} - 20 q^{71} + 18 q^{72} - 16 q^{77} - 126 q^{81} + 60 q^{85} - 36 q^{86} - 14 q^{88} - 31 q^{91} - 10 q^{92} + 20 q^{93} - 44 q^{95} + 18 q^{98} + 100 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(e\left(\frac{7}{10}\right)\) \(-1\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.809017 + 0.587785i 0.572061 + 0.415627i
\(3\) −0.732958 + 2.25581i −0.423173 + 1.30239i 0.481559 + 0.876414i \(0.340071\pi\)
−0.904733 + 0.425980i \(0.859929\pi\)
\(4\) 0.309017 + 0.951057i 0.154508 + 0.475528i
\(5\) 0.464104 + 2.18737i 0.207554 + 0.978224i
\(6\) −1.91891 + 1.39417i −0.783391 + 0.569167i
\(7\) −2.63063 0.282464i −0.994285 0.106761i
\(8\) −0.309017 + 0.951057i −0.109254 + 0.336249i
\(9\) −2.12441 1.54347i −0.708137 0.514492i
\(10\) −0.910238 + 2.04242i −0.287843 + 0.645869i
\(11\) −2.63315 2.01656i −0.793924 0.608017i
\(12\) −2.37190 −0.684709
\(13\) 0.478040 0.657965i 0.132584 0.182487i −0.737563 0.675278i \(-0.764024\pi\)
0.870147 + 0.492792i \(0.164024\pi\)
\(14\) −1.96220 1.77476i −0.524419 0.474326i
\(15\) −5.27447 0.556321i −1.36186 0.143641i
\(16\) −0.809017 + 0.587785i −0.202254 + 0.146946i
\(17\) 0.374125 + 0.514939i 0.0907387 + 0.124891i 0.851973 0.523586i \(-0.175406\pi\)
−0.761234 + 0.648477i \(0.775406\pi\)
\(18\) −0.811453 2.49739i −0.191261 0.588641i
\(19\) −0.231172 + 0.711476i −0.0530346 + 0.163224i −0.974066 0.226265i \(-0.927348\pi\)
0.921031 + 0.389489i \(0.127348\pi\)
\(20\) −1.93690 + 1.11733i −0.433104 + 0.249842i
\(21\) 2.56533 5.72717i 0.559800 1.24977i
\(22\) −0.944954 3.17916i −0.201465 0.677799i
\(23\) 5.84039i 1.21781i 0.793245 + 0.608903i \(0.208390\pi\)
−0.793245 + 0.608903i \(0.791610\pi\)
\(24\) −1.91891 1.39417i −0.391696 0.284583i
\(25\) −4.56921 + 2.03034i −0.913843 + 0.406068i
\(26\) 0.773484 0.251320i 0.151693 0.0492880i
\(27\) −0.717833 + 0.521536i −0.138147 + 0.100370i
\(28\) −0.544270 2.58916i −0.102857 0.489306i
\(29\) 8.07009 2.62213i 1.49858 0.486918i 0.558975 0.829184i \(-0.311195\pi\)
0.939603 + 0.342267i \(0.111195\pi\)
\(30\) −3.94014 3.55033i −0.719368 0.648199i
\(31\) 2.72989 3.75737i 0.490303 0.674844i −0.490141 0.871643i \(-0.663055\pi\)
0.980444 + 0.196799i \(0.0630548\pi\)
\(32\) −1.00000 −0.176777
\(33\) 6.47898 4.46183i 1.12785 0.776705i
\(34\) 0.636500i 0.109159i
\(35\) −0.603032 5.88527i −0.101931 0.994791i
\(36\) 0.811453 2.49739i 0.135242 0.416232i
\(37\) −3.85636 + 1.25301i −0.633982 + 0.205993i −0.608338 0.793678i \(-0.708164\pi\)
−0.0256440 + 0.999671i \(0.508164\pi\)
\(38\) −0.605217 + 0.439716i −0.0981792 + 0.0713314i
\(39\) 1.13386 + 1.56063i 0.181563 + 0.249900i
\(40\) −2.22373 0.234546i −0.351603 0.0370850i
\(41\) −0.693842 + 2.13543i −0.108360 + 0.333498i −0.990504 0.137481i \(-0.956099\pi\)
0.882144 + 0.470979i \(0.156099\pi\)
\(42\) 5.44174 3.12552i 0.839679 0.482278i
\(43\) 1.78702 0.272519 0.136259 0.990673i \(-0.456492\pi\)
0.136259 + 0.990673i \(0.456492\pi\)
\(44\) 1.10418 3.12743i 0.166461 0.471477i
\(45\) 2.39021 5.36321i 0.356311 0.799501i
\(46\) −3.43289 + 4.72497i −0.506153 + 0.696659i
\(47\) −1.40295 + 4.31784i −0.204642 + 0.629822i 0.795086 + 0.606496i \(0.207426\pi\)
−0.999728 + 0.0233258i \(0.992574\pi\)
\(48\) −0.732958 2.25581i −0.105793 0.325598i
\(49\) 6.84043 + 1.48612i 0.977204 + 0.212303i
\(50\) −4.88998 1.04314i −0.691547 0.147522i
\(51\) −1.43582 + 0.466527i −0.201056 + 0.0653269i
\(52\) 0.773484 + 0.251320i 0.107263 + 0.0348518i
\(53\) 1.23908 1.70545i 0.170201 0.234262i −0.715392 0.698723i \(-0.753752\pi\)
0.885594 + 0.464461i \(0.153752\pi\)
\(54\) −0.887291 −0.120745
\(55\) 3.18893 6.69558i 0.429995 0.902831i
\(56\) 1.08155 2.41459i 0.144528 0.322663i
\(57\) −1.43552 1.04296i −0.190139 0.138144i
\(58\) 8.07009 + 2.62213i 1.05965 + 0.344303i
\(59\) −11.4455 + 3.71887i −1.49008 + 0.484155i −0.937106 0.349046i \(-0.886506\pi\)
−0.552970 + 0.833201i \(0.686506\pi\)
\(60\) −1.10081 5.18824i −0.142114 0.669798i
\(61\) −9.48273 + 6.88961i −1.21414 + 0.882124i −0.995600 0.0937040i \(-0.970129\pi\)
−0.218540 + 0.975828i \(0.570129\pi\)
\(62\) 4.41705 1.43519i 0.560966 0.182269i
\(63\) 5.15256 + 4.66038i 0.649162 + 0.587153i
\(64\) −0.809017 0.587785i −0.101127 0.0734732i
\(65\) 1.66108 + 0.740287i 0.206031 + 0.0918213i
\(66\) 7.86420 + 0.198551i 0.968016 + 0.0244400i
\(67\) 7.11959i 0.869796i 0.900480 + 0.434898i \(0.143216\pi\)
−0.900480 + 0.434898i \(0.856784\pi\)
\(68\) −0.374125 + 0.514939i −0.0453693 + 0.0624455i
\(69\) −13.1748 4.28076i −1.58606 0.515343i
\(70\) 2.97141 5.11573i 0.355151 0.611447i
\(71\) 6.16231 4.47718i 0.731331 0.531343i −0.158653 0.987334i \(-0.550715\pi\)
0.889984 + 0.455991i \(0.150715\pi\)
\(72\) 2.12441 1.54347i 0.250364 0.181900i
\(73\) 9.50651 3.08885i 1.11265 0.361523i 0.305693 0.952130i \(-0.401112\pi\)
0.806959 + 0.590607i \(0.201112\pi\)
\(74\) −3.85636 1.25301i −0.448293 0.145659i
\(75\) −1.23103 11.7954i −0.142147 1.36202i
\(76\) −0.748090 −0.0858118
\(77\) 6.35723 + 6.04861i 0.724474 + 0.689303i
\(78\) 1.92904i 0.218421i
\(79\) −9.15919 + 12.6065i −1.03049 + 1.41835i −0.125910 + 0.992042i \(0.540185\pi\)
−0.904580 + 0.426305i \(0.859815\pi\)
\(80\) −1.66117 1.49683i −0.185725 0.167351i
\(81\) −3.08470 9.49374i −0.342745 1.05486i
\(82\) −1.81650 + 1.31977i −0.200599 + 0.145744i
\(83\) −4.36182 6.00353i −0.478772 0.658973i 0.499496 0.866316i \(-0.333518\pi\)
−0.978268 + 0.207343i \(0.933518\pi\)
\(84\) 6.23959 + 0.669978i 0.680796 + 0.0731005i
\(85\) −0.952731 + 1.05734i −0.103338 + 0.114684i
\(86\) 1.44573 + 1.05039i 0.155897 + 0.113266i
\(87\) 20.1265i 2.15779i
\(88\) 2.73155 1.88112i 0.291185 0.200528i
\(89\) 10.1872i 1.07984i 0.841717 + 0.539919i \(0.181545\pi\)
−0.841717 + 0.539919i \(0.818455\pi\)
\(90\) 5.08614 2.93400i 0.536126 0.309271i
\(91\) −1.44340 + 1.59583i −0.151309 + 0.167289i
\(92\) −5.55454 + 1.80478i −0.579101 + 0.188161i
\(93\) 6.47503 + 8.91211i 0.671429 + 0.924143i
\(94\) −3.67298 + 2.66857i −0.378839 + 0.275242i
\(95\) −1.66355 0.175462i −0.170677 0.0180020i
\(96\) 0.732958 2.25581i 0.0748072 0.230233i
\(97\) −9.78252 7.10742i −0.993264 0.721649i −0.0326308 0.999467i \(-0.510389\pi\)
−0.960634 + 0.277819i \(0.910389\pi\)
\(98\) 4.66050 + 5.22300i 0.470782 + 0.527602i
\(99\) 2.48137 + 8.34821i 0.249387 + 0.839026i
\(100\) −3.34293 3.71817i −0.334293 0.371817i
\(101\) 1.69439 + 1.23104i 0.168598 + 0.122493i 0.668884 0.743366i \(-0.266772\pi\)
−0.500287 + 0.865860i \(0.666772\pi\)
\(102\) −1.43582 0.466527i −0.142168 0.0461931i
\(103\) −3.03083 9.32794i −0.298637 0.919110i −0.981976 0.189008i \(-0.939473\pi\)
0.683339 0.730101i \(-0.260527\pi\)
\(104\) 0.478040 + 0.657965i 0.0468756 + 0.0645188i
\(105\) 13.7181 + 2.95333i 1.33874 + 0.288215i
\(106\) 2.00488 0.651425i 0.194731 0.0632720i
\(107\) −0.172623 + 0.531279i −0.0166881 + 0.0513607i −0.959054 0.283224i \(-0.908596\pi\)
0.942366 + 0.334585i \(0.108596\pi\)
\(108\) −0.717833 0.521536i −0.0690735 0.0501849i
\(109\) 2.34499i 0.224609i 0.993674 + 0.112305i \(0.0358232\pi\)
−0.993674 + 0.112305i \(0.964177\pi\)
\(110\) 6.51546 3.54243i 0.621224 0.337758i
\(111\) 9.61764i 0.912866i
\(112\) 2.29425 1.31773i 0.216787 0.124514i
\(113\) 8.21206 + 2.66826i 0.772526 + 0.251009i 0.668646 0.743581i \(-0.266874\pi\)
0.103880 + 0.994590i \(0.466874\pi\)
\(114\) −0.548318 1.68755i −0.0513547 0.158054i
\(115\) −12.7751 + 2.71055i −1.19129 + 0.252760i
\(116\) 4.98759 + 6.86483i 0.463086 + 0.637383i
\(117\) −2.03110 + 0.659946i −0.187776 + 0.0610120i
\(118\) −11.4455 3.71887i −1.05364 0.342349i
\(119\) −0.838733 1.46029i −0.0768865 0.133865i
\(120\) 2.15899 4.84441i 0.197088 0.442232i
\(121\) 2.86693 + 10.6198i 0.260630 + 0.965439i
\(122\) −11.7213 −1.06120
\(123\) −4.30856 3.13036i −0.388490 0.282255i
\(124\) 4.41705 + 1.43519i 0.396663 + 0.128884i
\(125\) −6.56171 9.05229i −0.586897 0.809662i
\(126\) 1.42921 + 6.79893i 0.127324 + 0.605697i
\(127\) 3.94559 2.86664i 0.350115 0.254373i −0.398802 0.917037i \(-0.630574\pi\)
0.748917 + 0.662664i \(0.230574\pi\)
\(128\) −0.309017 0.951057i −0.0273135 0.0840623i
\(129\) −1.30981 + 4.03119i −0.115323 + 0.354927i
\(130\) 0.908709 + 1.57526i 0.0796990 + 0.138160i
\(131\) 12.5690 1.09816 0.549081 0.835769i \(-0.314978\pi\)
0.549081 + 0.835769i \(0.314978\pi\)
\(132\) 6.24557 + 4.78309i 0.543607 + 0.416315i
\(133\) 0.809096 1.80633i 0.0701575 0.156629i
\(134\) −4.18479 + 5.75987i −0.361511 + 0.497577i
\(135\) −1.47395 1.32812i −0.126857 0.114307i
\(136\) −0.605347 + 0.196689i −0.0519081 + 0.0168660i
\(137\) 12.0558 + 16.5933i 1.02999 + 1.41766i 0.904953 + 0.425511i \(0.139906\pi\)
0.125039 + 0.992152i \(0.460094\pi\)
\(138\) −8.14249 11.2072i −0.693135 0.954018i
\(139\) 1.58657 + 4.88296i 0.134571 + 0.414168i 0.995523 0.0945189i \(-0.0301313\pi\)
−0.860952 + 0.508686i \(0.830131\pi\)
\(140\) 5.41087 2.39216i 0.457302 0.202175i
\(141\) −8.71194 6.32959i −0.733678 0.533048i
\(142\) 7.61703 0.639207
\(143\) −2.58558 + 0.768521i −0.216217 + 0.0642670i
\(144\) 2.62592 0.218826
\(145\) 9.48095 + 16.4354i 0.787350 + 1.36488i
\(146\) 9.50651 + 3.08885i 0.786764 + 0.255635i
\(147\) −8.36615 + 14.3415i −0.690028 + 1.18286i
\(148\) −2.38336 3.28042i −0.195911 0.269649i
\(149\) 6.72048 + 9.24994i 0.550563 + 0.757785i 0.990088 0.140445i \(-0.0448534\pi\)
−0.439526 + 0.898230i \(0.644853\pi\)
\(150\) 5.93727 10.2663i 0.484776 0.838239i
\(151\) 1.93498 + 0.628714i 0.157467 + 0.0511640i 0.386690 0.922210i \(-0.373618\pi\)
−0.229223 + 0.973374i \(0.573618\pi\)
\(152\) −0.605217 0.439716i −0.0490896 0.0356657i
\(153\) 1.67139i 0.135124i
\(154\) 1.58783 + 8.63011i 0.127951 + 0.695434i
\(155\) 9.48573 + 4.22748i 0.761912 + 0.339559i
\(156\) −1.13386 + 1.56063i −0.0907817 + 0.124950i
\(157\) −1.25232 + 3.85425i −0.0999461 + 0.307602i −0.988511 0.151148i \(-0.951703\pi\)
0.888565 + 0.458751i \(0.151703\pi\)
\(158\) −14.8199 + 4.81527i −1.17901 + 0.383082i
\(159\) 2.93899 + 4.04517i 0.233077 + 0.320803i
\(160\) −0.464104 2.18737i −0.0366907 0.172927i
\(161\) 1.64970 15.3639i 0.130015 1.21085i
\(162\) 3.08470 9.49374i 0.242357 0.745899i
\(163\) −9.76479 + 13.4401i −0.764837 + 1.05271i 0.231959 + 0.972726i \(0.425487\pi\)
−0.996796 + 0.0799827i \(0.974513\pi\)
\(164\) −2.24532 −0.175330
\(165\) 12.7666 + 12.1012i 0.993880 + 0.942077i
\(166\) 7.42077i 0.575964i
\(167\) 1.66365 2.28982i 0.128737 0.177192i −0.739783 0.672846i \(-0.765072\pi\)
0.868520 + 0.495654i \(0.165072\pi\)
\(168\) 4.65414 + 4.20956i 0.359074 + 0.324775i
\(169\) 3.81282 + 11.7347i 0.293294 + 0.902667i
\(170\) −1.39226 + 0.295402i −0.106782 + 0.0226563i
\(171\) 1.58925 1.15466i 0.121533 0.0882989i
\(172\) 0.552221 + 1.69956i 0.0421065 + 0.129590i
\(173\) 19.9440 + 6.48021i 1.51632 + 0.492681i 0.944727 0.327859i \(-0.106327\pi\)
0.571589 + 0.820540i \(0.306327\pi\)
\(174\) −11.8301 + 16.2827i −0.896835 + 1.23439i
\(175\) 12.5934 4.05043i 0.951972 0.306184i
\(176\) 3.31557 + 0.0837098i 0.249920 + 0.00630987i
\(177\) 28.5447i 2.14555i
\(178\) −5.98787 + 8.24159i −0.448809 + 0.617733i
\(179\) 0.393228 1.21023i 0.0293912 0.0904570i −0.935285 0.353896i \(-0.884857\pi\)
0.964676 + 0.263439i \(0.0848567\pi\)
\(180\) 5.83934 + 0.615899i 0.435238 + 0.0459064i
\(181\) 3.21681 + 4.42756i 0.239103 + 0.329098i 0.911658 0.410950i \(-0.134803\pi\)
−0.672554 + 0.740048i \(0.734803\pi\)
\(182\) −2.10574 + 0.442649i −0.156088 + 0.0328113i
\(183\) −8.59122 26.4411i −0.635081 1.95458i
\(184\) −5.55454 1.80478i −0.409486 0.133050i
\(185\) −4.53056 7.85379i −0.333093 0.577422i
\(186\) 11.0160i 0.807731i
\(187\) 0.0532813 2.11036i 0.00389631 0.154325i
\(188\) −4.54005 −0.331117
\(189\) 2.03567 1.16921i 0.148073 0.0850473i
\(190\) −1.24271 1.11976i −0.0901555 0.0812361i
\(191\) −2.75958 8.49313i −0.199676 0.614541i −0.999890 0.0148259i \(-0.995281\pi\)
0.800214 0.599715i \(-0.204719\pi\)
\(192\) 1.91891 1.39417i 0.138485 0.100615i
\(193\) 17.0889 12.4158i 1.23008 0.893709i 0.233188 0.972432i \(-0.425084\pi\)
0.996897 + 0.0787231i \(0.0250843\pi\)
\(194\) −3.73659 11.5000i −0.268272 0.825655i
\(195\) −2.88745 + 3.20448i −0.206774 + 0.229477i
\(196\) 0.700426 + 6.96487i 0.0500304 + 0.497491i
\(197\) 13.6474 0.972338 0.486169 0.873865i \(-0.338394\pi\)
0.486169 + 0.873865i \(0.338394\pi\)
\(198\) −2.89948 + 8.21235i −0.206057 + 0.583627i
\(199\) 5.76658i 0.408782i 0.978889 + 0.204391i \(0.0655214\pi\)
−0.978889 + 0.204391i \(0.934479\pi\)
\(200\) −0.519004 4.97299i −0.0366991 0.351644i
\(201\) −16.0605 5.21836i −1.13282 0.368075i
\(202\) 0.647198 + 1.99187i 0.0455367 + 0.140147i
\(203\) −21.9701 + 4.61834i −1.54200 + 0.324144i
\(204\) −0.887388 1.22138i −0.0621296 0.0855140i
\(205\) −4.99299 0.526632i −0.348726 0.0367816i
\(206\) 3.03083 9.32794i 0.211168 0.649909i
\(207\) 9.01449 12.4074i 0.626551 0.862373i
\(208\) 0.813289i 0.0563915i
\(209\) 2.04345 1.40725i 0.141348 0.0973413i
\(210\) 9.36222 + 10.4526i 0.646054 + 0.721295i
\(211\) −12.6807 + 17.4535i −0.872974 + 1.20155i 0.105343 + 0.994436i \(0.466406\pi\)
−0.978318 + 0.207110i \(0.933594\pi\)
\(212\) 2.00488 + 0.651425i 0.137696 + 0.0447401i
\(213\) 5.58296 + 17.1826i 0.382538 + 1.17733i
\(214\) −0.451933 + 0.328349i −0.0308935 + 0.0224455i
\(215\) 0.829366 + 3.90889i 0.0565623 + 0.266584i
\(216\) −0.274188 0.843864i −0.0186561 0.0574177i
\(217\) −8.24265 + 9.11316i −0.559548 + 0.618641i
\(218\) −1.37835 + 1.89714i −0.0933537 + 0.128490i
\(219\) 23.7089i 1.60210i
\(220\) 7.35330 + 0.963803i 0.495760 + 0.0649796i
\(221\) 0.517658 0.0348215
\(222\) 5.65311 7.78083i 0.379412 0.522215i
\(223\) 4.89906 15.0778i 0.328065 1.00968i −0.641972 0.766728i \(-0.721884\pi\)
0.970038 0.242954i \(-0.0781163\pi\)
\(224\) 2.63063 + 0.282464i 0.175766 + 0.0188729i
\(225\) 12.8407 + 2.73919i 0.856044 + 0.182613i
\(226\) 5.07533 + 6.98560i 0.337606 + 0.464675i
\(227\) 14.1957 4.61246i 0.942201 0.306140i 0.202658 0.979250i \(-0.435042\pi\)
0.739542 + 0.673110i \(0.235042\pi\)
\(228\) 0.548318 1.68755i 0.0363133 0.111761i
\(229\) −12.7501 + 17.5490i −0.842548 + 1.15967i 0.142907 + 0.989736i \(0.454355\pi\)
−0.985456 + 0.169932i \(0.945645\pi\)
\(230\) −11.9285 5.31615i −0.786543 0.350536i
\(231\) −18.3041 + 9.90734i −1.20432 + 0.651855i
\(232\) 8.48540i 0.557094i
\(233\) −20.8110 15.1201i −1.36338 0.990550i −0.998222 0.0596025i \(-0.981017\pi\)
−0.365153 0.930948i \(-0.618983\pi\)
\(234\) −2.03110 0.659946i −0.132777 0.0431420i
\(235\) −10.0959 1.06485i −0.658581 0.0694633i
\(236\) −7.07370 9.73612i −0.460459 0.633767i
\(237\) −21.7247 29.9015i −1.41117 1.94231i
\(238\) 0.179788 1.67439i 0.0116540 0.108535i
\(239\) −7.45527 2.42237i −0.482242 0.156690i 0.0577999 0.998328i \(-0.481591\pi\)
−0.540041 + 0.841638i \(0.681591\pi\)
\(240\) 4.59414 2.65019i 0.296550 0.171069i
\(241\) 30.5782 1.96971 0.984856 0.173373i \(-0.0554665\pi\)
0.984856 + 0.173373i \(0.0554665\pi\)
\(242\) −3.92278 + 10.2768i −0.252166 + 0.660615i
\(243\) 21.0152 1.34813
\(244\) −9.48273 6.88961i −0.607070 0.441062i
\(245\) −0.0760244 + 15.6523i −0.00485702 + 0.999988i
\(246\) −1.64573 5.06502i −0.104928 0.322934i
\(247\) 0.357616 + 0.492217i 0.0227546 + 0.0313190i
\(248\) 2.72989 + 3.75737i 0.173348 + 0.238593i
\(249\) 16.7399 5.43911i 1.06085 0.344690i
\(250\) 0.0122717 11.1803i 0.000776128 0.707106i
\(251\) 2.29582 3.15992i 0.144911 0.199452i −0.730392 0.683029i \(-0.760662\pi\)
0.875302 + 0.483576i \(0.160662\pi\)
\(252\) −2.84006 + 6.34051i −0.178907 + 0.399415i
\(253\) 11.7775 15.3786i 0.740447 0.966845i
\(254\) 4.87702 0.306012
\(255\) −1.68684 2.92417i −0.105634 0.183118i
\(256\) 0.309017 0.951057i 0.0193136 0.0594410i
\(257\) −6.06728 18.6732i −0.378466 1.16480i −0.941110 0.338100i \(-0.890216\pi\)
0.562644 0.826699i \(-0.309784\pi\)
\(258\) −3.42914 + 2.49141i −0.213489 + 0.155109i
\(259\) 10.4986 2.20692i 0.652351 0.137131i
\(260\) −0.190754 + 1.80854i −0.0118301 + 0.112161i
\(261\) −21.1914 6.88550i −1.31171 0.426202i
\(262\) 10.1686 + 7.38790i 0.628216 + 0.456426i
\(263\) −19.3898 −1.19563 −0.597814 0.801634i \(-0.703964\pi\)
−0.597814 + 0.801634i \(0.703964\pi\)
\(264\) 2.24134 + 7.54065i 0.137945 + 0.464095i
\(265\) 4.30553 + 1.91883i 0.264487 + 0.117873i
\(266\) 1.71631 0.985778i 0.105234 0.0604419i
\(267\) −22.9803 7.46676i −1.40637 0.456958i
\(268\) −6.77113 + 2.20007i −0.413613 + 0.134391i
\(269\) −17.4834 24.0639i −1.06598 1.46720i −0.874076 0.485789i \(-0.838532\pi\)
−0.191909 0.981413i \(-0.561468\pi\)
\(270\) −0.411796 1.94084i −0.0250611 0.118116i
\(271\) −0.613137 1.88704i −0.0372454 0.114630i 0.930705 0.365770i \(-0.119194\pi\)
−0.967951 + 0.251141i \(0.919194\pi\)
\(272\) −0.605347 0.196689i −0.0367046 0.0119260i
\(273\) −2.54195 4.42571i −0.153846 0.267856i
\(274\) 20.5105i 1.23908i
\(275\) 16.1257 + 3.86793i 0.972418 + 0.233245i
\(276\) 13.8528i 0.833842i
\(277\) 17.8717 + 12.9845i 1.07380 + 0.780165i 0.976592 0.215099i \(-0.0690073\pi\)
0.0972125 + 0.995264i \(0.469007\pi\)
\(278\) −1.58657 + 4.88296i −0.0951562 + 0.292861i
\(279\) −11.5988 + 3.76868i −0.694403 + 0.225625i
\(280\) 5.78357 + 1.24513i 0.345634 + 0.0744107i
\(281\) −14.5120 19.9741i −0.865716 1.19156i −0.980176 0.198128i \(-0.936514\pi\)
0.114460 0.993428i \(-0.463486\pi\)
\(282\) −3.32766 10.2415i −0.198160 0.609872i
\(283\) 19.4605 + 6.32311i 1.15681 + 0.375870i 0.823704 0.567020i \(-0.191904\pi\)
0.333105 + 0.942890i \(0.391904\pi\)
\(284\) 6.16231 + 4.47718i 0.365666 + 0.265672i
\(285\) 1.61512 3.62405i 0.0956716 0.214670i
\(286\) −2.54350 0.898018i −0.150400 0.0531009i
\(287\) 2.42842 5.42153i 0.143345 0.320023i
\(288\) 2.12441 + 1.54347i 0.125182 + 0.0909501i
\(289\) 5.12810 15.7827i 0.301653 0.928392i
\(290\) −1.99022 + 18.8693i −0.116870 + 1.10804i
\(291\) 23.2032 16.8581i 1.36019 0.988239i
\(292\) 5.87534 + 8.08672i 0.343829 + 0.473239i
\(293\) −13.3177 + 4.32720i −0.778031 + 0.252798i −0.670999 0.741458i \(-0.734135\pi\)
−0.107032 + 0.994256i \(0.534135\pi\)
\(294\) −15.1981 + 6.68498i −0.886369 + 0.389876i
\(295\) −13.4465 23.3096i −0.782883 1.35714i
\(296\) 4.05482i 0.235682i
\(297\) 2.94187 + 0.0742750i 0.170705 + 0.00430987i
\(298\) 11.4336i 0.662328i
\(299\) 3.84277 + 2.79194i 0.222233 + 0.161462i
\(300\) 10.8377 4.81577i 0.625716 0.278038i
\(301\) −4.70100 0.504771i −0.270961 0.0290945i
\(302\) 1.19589 + 1.64599i 0.0688155 + 0.0947164i
\(303\) −4.01892 + 2.91991i −0.230881 + 0.167745i
\(304\) −0.231172 0.711476i −0.0132586 0.0408059i
\(305\) −19.4711 17.5448i −1.11491 1.00461i
\(306\) 0.982421 1.35219i 0.0561613 0.0772993i
\(307\) 19.9751i 1.14004i −0.821630 0.570021i \(-0.806935\pi\)
0.821630 0.570021i \(-0.193065\pi\)
\(308\) −3.78807 + 7.91521i −0.215846 + 0.451011i
\(309\) 23.2636 1.32342
\(310\) 5.18927 + 8.99567i 0.294731 + 0.510920i
\(311\) 29.0709 + 9.44572i 1.64846 + 0.535618i 0.978406 0.206693i \(-0.0662700\pi\)
0.670056 + 0.742310i \(0.266270\pi\)
\(312\) −1.83463 + 0.596107i −0.103865 + 0.0337479i
\(313\) 8.35933 6.07341i 0.472497 0.343289i −0.325917 0.945399i \(-0.605673\pi\)
0.798414 + 0.602109i \(0.205673\pi\)
\(314\) −3.27862 + 2.38206i −0.185023 + 0.134427i
\(315\) −7.80267 + 13.4335i −0.439631 + 0.756891i
\(316\) −14.8199 4.81527i −0.833683 0.270880i
\(317\) −1.53946 + 2.11889i −0.0864649 + 0.119009i −0.850058 0.526689i \(-0.823433\pi\)
0.763593 + 0.645698i \(0.223433\pi\)
\(318\) 5.00010i 0.280392i
\(319\) −26.5374 9.36940i −1.48581 0.524586i
\(320\) 0.910238 2.04242i 0.0508839 0.114175i
\(321\) −1.07194 0.778811i −0.0598299 0.0434690i
\(322\) 10.3653 11.4600i 0.577636 0.638640i
\(323\) −0.452854 + 0.147141i −0.0251975 + 0.00818715i
\(324\) 8.07586 5.86746i 0.448659 0.325970i
\(325\) −0.848372 + 3.97697i −0.0470592 + 0.220602i
\(326\) −15.7998 + 5.13365i −0.875068 + 0.284327i
\(327\) −5.28986 1.71878i −0.292530 0.0950487i
\(328\) −1.81650 1.31977i −0.100300 0.0728719i
\(329\) 4.91028 10.9624i 0.270713 0.604375i
\(330\) 3.21550 + 17.2941i 0.177008 + 0.952009i
\(331\) 9.65619 0.530752 0.265376 0.964145i \(-0.414504\pi\)
0.265376 + 0.964145i \(0.414504\pi\)
\(332\) 4.36182 6.00353i 0.239386 0.329487i
\(333\) 10.1265 + 3.29030i 0.554928 + 0.180307i
\(334\) 2.69185 0.874634i 0.147291 0.0478578i
\(335\) −15.5732 + 3.30423i −0.850855 + 0.180530i
\(336\) 1.29095 + 6.14124i 0.0704273 + 0.335032i
\(337\) 6.71481 + 20.6661i 0.365779 + 1.12575i 0.949492 + 0.313792i \(0.101599\pi\)
−0.583713 + 0.811960i \(0.698401\pi\)
\(338\) −3.81282 + 11.7347i −0.207390 + 0.638282i
\(339\) −12.0382 + 16.5691i −0.653825 + 0.899913i
\(340\) −1.30000 0.579366i −0.0705023 0.0314205i
\(341\) −14.7652 + 4.38871i −0.799580 + 0.237662i
\(342\) 1.96442 0.106224
\(343\) −17.5749 5.84160i −0.948953 0.315417i
\(344\) −0.552221 + 1.69956i −0.0297738 + 0.0916342i
\(345\) 3.24913 30.8050i 0.174927 1.65848i
\(346\) 12.3261 + 16.9654i 0.662654 + 0.912066i
\(347\) 5.89044 4.27966i 0.316216 0.229744i −0.418343 0.908289i \(-0.637389\pi\)
0.734559 + 0.678545i \(0.237389\pi\)
\(348\) −19.1415 + 6.21944i −1.02609 + 0.333397i
\(349\) −3.04276 + 9.36466i −0.162875 + 0.501279i −0.998873 0.0474536i \(-0.984889\pi\)
0.835998 + 0.548732i \(0.184889\pi\)
\(350\) 12.5691 + 4.12535i 0.671845 + 0.220509i
\(351\) 0.721624i 0.0385175i
\(352\) 2.63315 + 2.01656i 0.140347 + 0.107483i
\(353\) −7.84044 −0.417305 −0.208652 0.977990i \(-0.566908\pi\)
−0.208652 + 0.977990i \(0.566908\pi\)
\(354\) 16.7781 23.0931i 0.891747 1.22738i
\(355\) 12.6532 + 11.4014i 0.671563 + 0.605123i
\(356\) −9.68857 + 3.14801i −0.513493 + 0.166844i
\(357\) 3.90890 0.821692i 0.206881 0.0434885i
\(358\) 1.02948 0.747964i 0.0544099 0.0395311i
\(359\) 32.5863 10.5879i 1.71984 0.558809i 0.727917 0.685665i \(-0.240488\pi\)
0.991921 + 0.126855i \(0.0404884\pi\)
\(360\) 4.36211 + 3.93055i 0.229903 + 0.207158i
\(361\) 14.9186 + 10.8390i 0.785188 + 0.570472i
\(362\) 5.47276i 0.287642i
\(363\) −26.0577 1.31662i −1.36767 0.0691047i
\(364\) −1.96376 0.879612i −0.102929 0.0461042i
\(365\) 11.1685 + 19.3607i 0.584585 + 1.01339i
\(366\) 8.59122 26.4411i 0.449070 1.38210i
\(367\) 8.93956 + 27.5131i 0.466641 + 1.43617i 0.856907 + 0.515472i \(0.172383\pi\)
−0.390266 + 0.920702i \(0.627617\pi\)
\(368\) −3.43289 4.72497i −0.178952 0.246306i
\(369\) 4.76998 3.46559i 0.248315 0.180412i
\(370\) 0.951044 9.01684i 0.0494424 0.468763i
\(371\) −3.74130 + 4.13642i −0.194239 + 0.214752i
\(372\) −6.47503 + 8.91211i −0.335715 + 0.462072i
\(373\) −25.7514 −1.33336 −0.666678 0.745346i \(-0.732285\pi\)
−0.666678 + 0.745346i \(0.732285\pi\)
\(374\) 1.28354 1.67600i 0.0663704 0.0866638i
\(375\) 25.2297 8.16703i 1.30286 0.421744i
\(376\) −3.67298 2.66857i −0.189419 0.137621i
\(377\) 2.13255 6.56332i 0.109832 0.338028i
\(378\) 2.33413 + 0.250628i 0.120055 + 0.0128909i
\(379\) −9.34352 + 6.78846i −0.479944 + 0.348700i −0.801304 0.598257i \(-0.795860\pi\)
0.321360 + 0.946957i \(0.395860\pi\)
\(380\) −0.347192 1.63635i −0.0178106 0.0839431i
\(381\) 3.57465 + 11.0016i 0.183135 + 0.563631i
\(382\) 2.75958 8.49313i 0.141193 0.434546i
\(383\) −7.03306 5.10982i −0.359373 0.261100i 0.393418 0.919360i \(-0.371293\pi\)
−0.752790 + 0.658260i \(0.771293\pi\)
\(384\) 2.37190 0.121041
\(385\) −10.2801 + 16.7128i −0.523925 + 0.851764i
\(386\) 21.1230 1.07513
\(387\) −3.79637 2.75823i −0.192981 0.140209i
\(388\) 3.73659 11.5000i 0.189697 0.583826i
\(389\) −8.02071 24.6852i −0.406666 1.25159i −0.919496 0.393100i \(-0.871403\pi\)
0.512830 0.858490i \(-0.328597\pi\)
\(390\) −4.21954 + 0.895277i −0.213665 + 0.0453341i
\(391\) −3.00744 + 2.18504i −0.152093 + 0.110502i
\(392\) −3.52719 + 6.04640i −0.178150 + 0.305389i
\(393\) −9.21258 + 28.3534i −0.464713 + 1.43024i
\(394\) 11.0410 + 8.02175i 0.556237 + 0.404130i
\(395\) −31.8260 14.1838i −1.60134 0.713666i
\(396\) −7.17283 + 4.93966i −0.360448 + 0.248227i
\(397\) −16.6671 −0.836496 −0.418248 0.908333i \(-0.637356\pi\)
−0.418248 + 0.908333i \(0.637356\pi\)
\(398\) −3.38951 + 4.66526i −0.169901 + 0.233848i
\(399\) 3.48171 + 3.14913i 0.174304 + 0.157654i
\(400\) 2.50317 4.32830i 0.125158 0.216415i
\(401\) 17.5610 12.7588i 0.876956 0.637146i −0.0554885 0.998459i \(-0.517672\pi\)
0.932444 + 0.361314i \(0.117672\pi\)
\(402\) −9.92591 13.6618i −0.495059 0.681391i
\(403\) −1.16722 3.59234i −0.0581435 0.178947i
\(404\) −0.647198 + 1.99187i −0.0321993 + 0.0990992i
\(405\) 19.3347 11.1535i 0.960751 0.554222i
\(406\) −20.4888 9.17737i −1.01684 0.455465i
\(407\) 12.6812 + 4.47725i 0.628581 + 0.221929i
\(408\) 1.50971i 0.0747420i
\(409\) 0.708496 + 0.514752i 0.0350329 + 0.0254529i 0.605164 0.796101i \(-0.293108\pi\)
−0.570131 + 0.821554i \(0.693108\pi\)
\(410\) −3.72987 3.36086i −0.184205 0.165981i
\(411\) −46.2678 + 15.0333i −2.28222 + 0.741539i
\(412\) 7.93482 5.76499i 0.390921 0.284020i
\(413\) 31.1593 6.55002i 1.53325 0.322305i
\(414\) 14.5858 4.73920i 0.716851 0.232919i
\(415\) 11.1076 12.3272i 0.545252 0.605119i
\(416\) −0.478040 + 0.657965i −0.0234378 + 0.0322594i
\(417\) −12.1779 −0.596356
\(418\) 2.48034 + 0.0626225i 0.121318 + 0.00306297i
\(419\) 13.9264i 0.680349i 0.940362 + 0.340174i \(0.110486\pi\)
−0.940362 + 0.340174i \(0.889514\pi\)
\(420\) 1.43033 + 13.9593i 0.0697930 + 0.681143i
\(421\) −5.40865 + 16.6461i −0.263601 + 0.811282i 0.728411 + 0.685140i \(0.240259\pi\)
−0.992012 + 0.126141i \(0.959741\pi\)
\(422\) −20.5178 + 6.66663i −0.998790 + 0.324526i
\(423\) 9.64493 7.00745i 0.468952 0.340714i
\(424\) 1.23908 + 1.70545i 0.0601753 + 0.0828242i
\(425\) −2.75496 1.59327i −0.133635 0.0772847i
\(426\) −5.58296 + 17.1826i −0.270495 + 0.832499i
\(427\) 26.8916 15.4455i 1.30138 0.747459i
\(428\) −0.558620 −0.0270019
\(429\) 0.161480 6.39587i 0.00779632 0.308796i
\(430\) −1.62662 + 3.64985i −0.0784425 + 0.176011i
\(431\) 2.46504 3.39284i 0.118737 0.163427i −0.745511 0.666493i \(-0.767795\pi\)
0.864248 + 0.503066i \(0.167795\pi\)
\(432\) 0.274188 0.843864i 0.0131919 0.0406004i
\(433\) 3.34165 + 10.2845i 0.160589 + 0.494243i 0.998684 0.0512812i \(-0.0163305\pi\)
−0.838095 + 0.545525i \(0.816330\pi\)
\(434\) −12.0250 + 2.52779i −0.577220 + 0.121338i
\(435\) −44.0242 + 9.34081i −2.11080 + 0.447857i
\(436\) −2.23022 + 0.724642i −0.106808 + 0.0347040i
\(437\) −4.15530 1.35014i −0.198775 0.0645858i
\(438\) −13.9357 + 19.1809i −0.665875 + 0.916499i
\(439\) 6.91580 0.330073 0.165037 0.986287i \(-0.447226\pi\)
0.165037 + 0.986287i \(0.447226\pi\)
\(440\) 5.38244 + 5.10190i 0.256598 + 0.243223i
\(441\) −12.2381 13.7152i −0.582766 0.653102i
\(442\) 0.418794 + 0.304272i 0.0199200 + 0.0144727i
\(443\) 20.7098 + 6.72901i 0.983950 + 0.319705i 0.756434 0.654069i \(-0.226940\pi\)
0.227516 + 0.973774i \(0.426940\pi\)
\(444\) 9.14692 2.97201i 0.434093 0.141046i
\(445\) −22.2831 + 4.72791i −1.05632 + 0.224124i
\(446\) 12.8259 9.31857i 0.607324 0.441247i
\(447\) −25.7920 + 8.38032i −1.21992 + 0.396375i
\(448\) 1.96220 + 1.77476i 0.0927050 + 0.0838497i
\(449\) −17.2079 12.5023i −0.812091 0.590018i 0.102345 0.994749i \(-0.467365\pi\)
−0.914436 + 0.404730i \(0.867365\pi\)
\(450\) 8.77826 + 9.76360i 0.413811 + 0.460261i
\(451\) 6.13321 4.22372i 0.288802 0.198887i
\(452\) 8.63467i 0.406141i
\(453\) −2.83652 + 3.90414i −0.133271 + 0.183432i
\(454\) 14.1957 + 4.61246i 0.666236 + 0.216473i
\(455\) −4.16057 2.41662i −0.195051 0.113293i
\(456\) 1.43552 1.04296i 0.0672242 0.0488412i
\(457\) −6.90983 + 5.02029i −0.323228 + 0.234839i −0.737552 0.675291i \(-0.764018\pi\)
0.414323 + 0.910130i \(0.364018\pi\)
\(458\) −20.6300 + 6.70311i −0.963979 + 0.313216i
\(459\) −0.537119 0.174521i −0.0250706 0.00814592i
\(460\) −6.52562 11.3123i −0.304258 0.527437i
\(461\) −13.2900 −0.618978 −0.309489 0.950903i \(-0.600158\pi\)
−0.309489 + 0.950903i \(0.600158\pi\)
\(462\) −20.6317 2.74367i −0.959874 0.127647i
\(463\) 22.8521i 1.06203i −0.847363 0.531015i \(-0.821811\pi\)
0.847363 0.531015i \(-0.178189\pi\)
\(464\) −4.98759 + 6.86483i −0.231543 + 0.318692i
\(465\) −16.4890 + 18.2995i −0.764661 + 0.848617i
\(466\) −7.94910 24.4648i −0.368235 1.13331i
\(467\) 21.1191 15.3439i 0.977275 0.710032i 0.0201767 0.999796i \(-0.493577\pi\)
0.957098 + 0.289765i \(0.0935771\pi\)
\(468\) −1.25529 1.72776i −0.0580259 0.0798658i
\(469\) 2.01103 18.7290i 0.0928607 0.864825i
\(470\) −7.54181 6.79568i −0.347878 0.313461i
\(471\) −7.77656 5.65000i −0.358325 0.260338i
\(472\) 12.0345i 0.553933i
\(473\) −4.70550 3.60365i −0.216359 0.165696i
\(474\) 36.9603i 1.69764i
\(475\) −0.388261 3.72024i −0.0178146 0.170696i
\(476\) 1.12964 1.24894i 0.0517768 0.0572449i
\(477\) −5.26465 + 1.71059i −0.241052 + 0.0783225i
\(478\) −4.60761 6.34184i −0.210747 0.290069i
\(479\) 10.9775 7.97561i 0.501574 0.364415i −0.308044 0.951372i \(-0.599674\pi\)
0.809618 + 0.586957i \(0.199674\pi\)
\(480\) 5.27447 + 0.556321i 0.240746 + 0.0253925i
\(481\) −1.01906 + 3.13634i −0.0464651 + 0.143005i
\(482\) 24.7383 + 17.9734i 1.12680 + 0.818666i
\(483\) 33.4489 + 14.9825i 1.52198 + 0.681728i
\(484\) −9.21412 + 6.00832i −0.418824 + 0.273106i
\(485\) 11.0065 24.6966i 0.499778 1.12142i
\(486\) 17.0016 + 12.3524i 0.771210 + 0.560317i
\(487\) −25.0477 8.13850i −1.13502 0.368791i −0.319539 0.947573i \(-0.603528\pi\)
−0.815482 + 0.578782i \(0.803528\pi\)
\(488\) −3.62208 11.1476i −0.163964 0.504629i
\(489\) −23.1611 31.8785i −1.04738 1.44160i
\(490\) −9.26169 + 12.6183i −0.418401 + 0.570036i
\(491\) 28.3233 9.20280i 1.27821 0.415317i 0.410262 0.911967i \(-0.365437\pi\)
0.867950 + 0.496651i \(0.165437\pi\)
\(492\) 1.64573 5.06502i 0.0741950 0.228349i
\(493\) 4.36946 + 3.17460i 0.196791 + 0.142977i
\(494\) 0.608413i 0.0273738i
\(495\) −17.1090 + 9.30213i −0.768994 + 0.418099i
\(496\) 4.64437i 0.208538i
\(497\) −17.4754 + 10.0372i −0.783879 + 0.450229i
\(498\) 16.7399 + 5.43911i 0.750132 + 0.243733i
\(499\) −4.08584 12.5749i −0.182907 0.562931i 0.816999 0.576639i \(-0.195636\pi\)
−0.999906 + 0.0137088i \(0.995636\pi\)
\(500\) 6.58156 9.03787i 0.294336 0.404186i
\(501\) 3.94602 + 5.43123i 0.176295 + 0.242649i
\(502\) 3.71471 1.20698i 0.165796 0.0538703i
\(503\) 15.6041 + 5.07007i 0.695752 + 0.226063i 0.635479 0.772119i \(-0.280803\pi\)
0.0602731 + 0.998182i \(0.480803\pi\)
\(504\) −6.02451 + 3.46024i −0.268353 + 0.154131i
\(505\) −1.90638 + 4.27759i −0.0848328 + 0.190350i
\(506\) 18.5675 5.51890i 0.825428 0.245345i
\(507\) −29.2658 −1.29974
\(508\) 3.94559 + 2.86664i 0.175057 + 0.127187i
\(509\) −39.3139 12.7738i −1.74256 0.566191i −0.747389 0.664386i \(-0.768693\pi\)
−0.995167 + 0.0981955i \(0.968693\pi\)
\(510\) 0.354098 3.35720i 0.0156797 0.148659i
\(511\) −25.8806 + 5.44038i −1.14489 + 0.240668i
\(512\) 0.809017 0.587785i 0.0357538 0.0259767i
\(513\) −0.205117 0.631286i −0.00905615 0.0278720i
\(514\) 6.06728 18.6732i 0.267616 0.823638i
\(515\) 18.9971 10.9587i 0.837111 0.482898i
\(516\) −4.23865 −0.186596
\(517\) 12.4014 8.54037i 0.545413 0.375605i
\(518\) 9.79074 + 4.38549i 0.430180 + 0.192687i
\(519\) −29.2363 + 40.2403i −1.28333 + 1.76635i
\(520\) −1.21736 + 1.35102i −0.0533846 + 0.0592460i
\(521\) 40.5006 13.1594i 1.77436 0.576526i 0.775845 0.630924i \(-0.217324\pi\)
0.998519 + 0.0543984i \(0.0173241\pi\)
\(522\) −13.0970 18.0265i −0.573240 0.788997i
\(523\) 20.4047 + 28.0847i 0.892236 + 1.22806i 0.972879 + 0.231315i \(0.0743027\pi\)
−0.0806429 + 0.996743i \(0.525697\pi\)
\(524\) 3.88405 + 11.9539i 0.169675 + 0.522207i
\(525\) −0.0934203 + 31.3772i −0.00407720 + 1.36941i
\(526\) −15.6867 11.3971i −0.683973 0.496936i
\(527\) 2.95614 0.128771
\(528\) −2.61901 + 7.41794i −0.113978 + 0.322825i
\(529\) −11.1101 −0.483050
\(530\) 2.35539 + 4.08310i 0.102311 + 0.177358i
\(531\) 30.0549 + 9.76543i 1.30427 + 0.423783i
\(532\) 1.96795 + 0.211309i 0.0853213 + 0.00916139i
\(533\) 1.07335 + 1.47734i 0.0464920 + 0.0639908i
\(534\) −14.2026 19.5482i −0.614608 0.845935i
\(535\) −1.24222 0.131022i −0.0537060 0.00566459i
\(536\) −6.77113 2.20007i −0.292468 0.0950287i
\(537\) 2.44184 + 1.77410i 0.105373 + 0.0765580i
\(538\) 29.7446i 1.28238i
\(539\) −15.0150 17.7073i −0.646742 0.762709i
\(540\) 0.807646 1.81222i 0.0347555 0.0779854i
\(541\) 2.63962 3.63313i 0.113486 0.156200i −0.748495 0.663140i \(-0.769223\pi\)
0.861981 + 0.506940i \(0.169223\pi\)
\(542\) 0.613137 1.88704i 0.0263365 0.0810553i
\(543\) −12.3455 + 4.01130i −0.529797 + 0.172141i
\(544\) −0.374125 0.514939i −0.0160405 0.0220778i
\(545\) −5.12937 + 1.08832i −0.219718 + 0.0466185i
\(546\) 0.544886 5.07460i 0.0233190 0.217173i
\(547\) −11.0877 + 34.1243i −0.474074 + 1.45905i 0.373128 + 0.927780i \(0.378285\pi\)
−0.847202 + 0.531270i \(0.821715\pi\)
\(548\) −12.0558 + 16.5933i −0.514996 + 0.708832i
\(549\) 30.7792 1.31362
\(550\) 10.7725 + 12.6077i 0.459340 + 0.537594i
\(551\) 6.34784i 0.270427i
\(552\) 8.14249 11.2072i 0.346567 0.477009i
\(553\) 27.6553 30.5760i 1.17602 1.30022i
\(554\) 6.82637 + 21.0094i 0.290025 + 0.892604i
\(555\) 21.0374 4.46359i 0.892987 0.189469i
\(556\) −4.15370 + 3.01784i −0.176156 + 0.127985i
\(557\) −14.1950 43.6878i −0.601463 1.85111i −0.519487 0.854479i \(-0.673877\pi\)
−0.0819763 0.996634i \(-0.526123\pi\)
\(558\) −11.5988 3.76868i −0.491017 0.159541i
\(559\) 0.854269 1.17580i 0.0361317 0.0497310i
\(560\) 3.94714 + 4.40683i 0.166797 + 0.186222i
\(561\) 4.72152 + 1.66700i 0.199343 + 0.0703806i
\(562\) 24.6894i 1.04146i
\(563\) 1.67074 2.29958i 0.0704135 0.0969158i −0.772358 0.635188i \(-0.780923\pi\)
0.842771 + 0.538272i \(0.180923\pi\)
\(564\) 3.32766 10.2415i 0.140120 0.431245i
\(565\) −2.02523 + 19.2012i −0.0852021 + 0.807801i
\(566\) 12.0273 + 16.5541i 0.505544 + 0.695822i
\(567\) 5.43307 + 25.8458i 0.228168 + 1.08542i
\(568\) 2.35379 + 7.24423i 0.0987629 + 0.303961i
\(569\) −16.9563 5.50944i −0.710846 0.230968i −0.0687963 0.997631i \(-0.521916\pi\)
−0.642050 + 0.766663i \(0.721916\pi\)
\(570\) 3.43683 1.98258i 0.143953 0.0830410i
\(571\) 21.8949i 0.916274i 0.888882 + 0.458137i \(0.151483\pi\)
−0.888882 + 0.458137i \(0.848517\pi\)
\(572\) −1.52989 2.22154i −0.0639681 0.0928874i
\(573\) 21.1816 0.884872
\(574\) 5.15133 2.95872i 0.215012 0.123495i
\(575\) −11.8580 26.6860i −0.494512 1.11288i
\(576\) 0.811453 + 2.49739i 0.0338105 + 0.104058i
\(577\) 31.6951 23.0279i 1.31949 0.958663i 0.319547 0.947570i \(-0.396469\pi\)
0.999938 0.0110923i \(-0.00353088\pi\)
\(578\) 13.4255 9.75422i 0.558428 0.405722i
\(579\) 15.4823 + 47.6496i 0.643422 + 1.98025i
\(580\) −12.7012 + 14.0957i −0.527388 + 0.585293i
\(581\) 9.77855 + 17.0251i 0.405683 + 0.706321i
\(582\) 28.6807 1.18885
\(583\) −6.70185 + 1.99202i −0.277562 + 0.0825009i
\(584\) 9.99573i 0.413626i
\(585\) −2.38619 4.13650i −0.0986569 0.171023i
\(586\) −13.3177 4.32720i −0.550151 0.178755i
\(587\) −4.57871 14.0918i −0.188983 0.581631i 0.811011 0.585031i \(-0.198918\pi\)
−0.999994 + 0.00340007i \(0.998918\pi\)
\(588\) −16.2248 3.52493i −0.669100 0.145365i
\(589\) 2.04220 + 2.81085i 0.0841475 + 0.115819i
\(590\) 2.82265 26.7615i 0.116207 1.10175i
\(591\) −10.0030 + 30.7860i −0.411468 + 1.26637i
\(592\) 2.38336 3.28042i 0.0979557 0.134824i
\(593\) 18.0520i 0.741306i −0.928771 0.370653i \(-0.879134\pi\)
0.928771 0.370653i \(-0.120866\pi\)
\(594\) 2.33637 + 1.78928i 0.0958623 + 0.0734150i
\(595\) 2.80494 2.51235i 0.114991 0.102996i
\(596\) −6.72048 + 9.24994i −0.275281 + 0.378892i
\(597\) −13.0083 4.22666i −0.532395 0.172986i
\(598\) 1.46781 + 4.51745i 0.0600231 + 0.184732i
\(599\) −31.0302 + 22.5447i −1.26786 + 0.921153i −0.999115 0.0420585i \(-0.986608\pi\)
−0.268744 + 0.963212i \(0.586608\pi\)
\(600\) 11.5985 + 2.47422i 0.473508 + 0.101010i
\(601\) −13.0875 40.2791i −0.533849 1.64302i −0.746122 0.665809i \(-0.768087\pi\)
0.212273 0.977210i \(-0.431913\pi\)
\(602\) −3.50649 3.17155i −0.142914 0.129263i
\(603\) 10.9889 15.1249i 0.447503 0.615935i
\(604\) 2.03456i 0.0827851i
\(605\) −21.8990 + 11.1998i −0.890320 + 0.455335i
\(606\) −4.96765 −0.201797
\(607\) −14.1598 + 19.4893i −0.574728 + 0.791046i −0.993105 0.117228i \(-0.962599\pi\)
0.418377 + 0.908274i \(0.362599\pi\)
\(608\) 0.231172 0.711476i 0.00937528 0.0288541i
\(609\) 5.68502 52.9454i 0.230369 2.14546i
\(610\) −5.43991 25.6389i −0.220255 1.03809i
\(611\) 2.17032 + 2.98719i 0.0878019 + 0.120849i
\(612\) 1.58959 0.516489i 0.0642554 0.0208778i
\(613\) −7.73309 + 23.8000i −0.312337 + 0.961273i 0.664500 + 0.747288i \(0.268644\pi\)
−0.976837 + 0.213985i \(0.931356\pi\)
\(614\) 11.7411 16.1602i 0.473832 0.652174i
\(615\) 4.84764 10.8773i 0.195476 0.438613i
\(616\) −7.71706 + 4.17696i −0.310929 + 0.168295i
\(617\) 9.96719i 0.401264i 0.979667 + 0.200632i \(0.0642995\pi\)
−0.979667 + 0.200632i \(0.935700\pi\)
\(618\) 18.8206 + 13.6740i 0.757076 + 0.550048i
\(619\) −17.5478 5.70164i −0.705307 0.229168i −0.0656656 0.997842i \(-0.520917\pi\)
−0.639641 + 0.768674i \(0.720917\pi\)
\(620\) −1.08932 + 10.3278i −0.0437481 + 0.414776i
\(621\) −3.04598 4.19243i −0.122231 0.168236i
\(622\) 17.9668 + 24.7292i 0.720404 + 0.991552i
\(623\) 2.87751 26.7987i 0.115285 1.07367i
\(624\) −1.83463 0.596107i −0.0734439 0.0238634i
\(625\) 16.7554 18.5541i 0.670217 0.742165i
\(626\) 10.3327 0.412978
\(627\) 1.67672 + 5.64109i 0.0669618 + 0.225283i
\(628\) −4.05259 −0.161716
\(629\) −2.08799 1.51701i −0.0832534 0.0604872i
\(630\) −14.2085 + 6.28162i −0.566080 + 0.250266i
\(631\) 7.41037 + 22.8068i 0.295002 + 0.907924i 0.983221 + 0.182420i \(0.0583931\pi\)
−0.688218 + 0.725504i \(0.741607\pi\)
\(632\) −9.15919 12.6065i −0.364333 0.501461i
\(633\) −30.0773 41.3979i −1.19547 1.64542i
\(634\) −2.49090 + 0.809344i −0.0989264 + 0.0321431i
\(635\) 8.10159 + 7.30007i 0.321502 + 0.289694i
\(636\) −2.93899 + 4.04517i −0.116538 + 0.160401i
\(637\) 4.24781 3.79034i 0.168304 0.150179i
\(638\) −15.9620 23.1783i −0.631943 0.917638i
\(639\) −20.0017 −0.791254
\(640\) 1.93690 1.11733i 0.0765627 0.0441662i
\(641\) −13.5051 + 41.5643i −0.533417 + 1.64169i 0.213627 + 0.976915i \(0.431472\pi\)
−0.747044 + 0.664775i \(0.768528\pi\)
\(642\) −0.409445 1.26014i −0.0161595 0.0497339i
\(643\) 31.0256 22.5414i 1.22353 0.888947i 0.227142 0.973862i \(-0.427062\pi\)
0.996388 + 0.0849146i \(0.0270617\pi\)
\(644\) 15.1217 3.17875i 0.595879 0.125260i
\(645\) −9.42562 0.994159i −0.371133 0.0391450i
\(646\) −0.452854 0.147141i −0.0178173 0.00578919i
\(647\) 10.9257 + 7.93796i 0.429532 + 0.312073i 0.781462 0.623953i \(-0.214474\pi\)
−0.351930 + 0.936026i \(0.614474\pi\)
\(648\) 9.98231 0.392142
\(649\) 37.6370 + 13.2883i 1.47738 + 0.521610i
\(650\) −3.02395 + 2.71877i −0.118609 + 0.106639i
\(651\) −14.5161 25.2734i −0.568929 0.990544i
\(652\) −15.7998 5.13365i −0.618766 0.201049i
\(653\) 31.7819 10.3266i 1.24372 0.404109i 0.388054 0.921637i \(-0.373147\pi\)
0.855667 + 0.517527i \(0.173147\pi\)
\(654\) −3.26931 4.49982i −0.127840 0.175957i
\(655\) 5.83335 + 27.4932i 0.227928 + 1.07425i
\(656\) −0.693842 2.13543i −0.0270900 0.0833744i
\(657\) −24.9633 8.11106i −0.973911 0.316443i
\(658\) 10.4160 5.98254i 0.406059 0.233224i
\(659\) 5.15933i 0.200979i −0.994938 0.100489i \(-0.967959\pi\)
0.994938 0.100489i \(-0.0320409\pi\)
\(660\) −7.56382 + 15.8812i −0.294421 + 0.618177i
\(661\) 33.9879i 1.32198i 0.750396 + 0.660989i \(0.229863\pi\)
−0.750396 + 0.660989i \(0.770137\pi\)
\(662\) 7.81203 + 5.67577i 0.303623 + 0.220595i
\(663\) −0.379422 + 1.16774i −0.0147355 + 0.0453513i
\(664\) 7.05758 2.29315i 0.273887 0.0889913i
\(665\) 4.32663 + 0.931469i 0.167779 + 0.0361208i
\(666\) 6.25851 + 8.61411i 0.242512 + 0.333790i
\(667\) 15.3143 + 47.1325i 0.592971 + 1.82498i
\(668\) 2.69185 + 0.874634i 0.104151 + 0.0338406i
\(669\) 30.4218 + 22.1027i 1.17617 + 0.854541i
\(670\) −14.5412 6.48052i −0.561774 0.250364i
\(671\) 38.8628 + 0.981188i 1.50028 + 0.0378784i
\(672\) −2.56533 + 5.72717i −0.0989596 + 0.220930i
\(673\) 13.2169 + 9.60262i 0.509473 + 0.370154i 0.812624 0.582789i \(-0.198039\pi\)
−0.303151 + 0.952943i \(0.598039\pi\)
\(674\) −6.71481 + 20.6661i −0.258645 + 0.796027i
\(675\) 2.22104 3.84046i 0.0854878 0.147819i
\(676\) −9.98211 + 7.25242i −0.383927 + 0.278939i
\(677\) 11.3366 + 15.6036i 0.435703 + 0.599693i 0.969250 0.246077i \(-0.0791415\pi\)
−0.533548 + 0.845770i \(0.679142\pi\)
\(678\) −19.4782 + 6.32885i −0.748056 + 0.243058i
\(679\) 23.7266 + 21.4602i 0.910543 + 0.823567i
\(680\) −0.711177 1.23284i −0.0272724 0.0472771i
\(681\) 35.4035i 1.35667i
\(682\) −14.5249 5.12821i −0.556187 0.196369i
\(683\) 42.7262i 1.63487i 0.576020 + 0.817435i \(0.304605\pi\)
−0.576020 + 0.817435i \(0.695395\pi\)
\(684\) 1.58925 + 1.15466i 0.0607665 + 0.0441494i
\(685\) −30.7007 + 34.0715i −1.17301 + 1.30180i
\(686\) −10.7848 15.0562i −0.411764 0.574848i
\(687\) −30.2419 41.6244i −1.15380 1.58807i
\(688\) −1.44573 + 1.05039i −0.0551181 + 0.0400456i
\(689\) −0.529797 1.63055i −0.0201837 0.0621190i
\(690\) 20.7353 23.0120i 0.789380 0.876051i
\(691\) 22.0867 30.3997i 0.840216 1.15646i −0.145718 0.989326i \(-0.546549\pi\)
0.985934 0.167132i \(-0.0534508\pi\)
\(692\) 20.9704i 0.797175i
\(693\) −4.16950 22.6619i −0.158386 0.860856i
\(694\) 7.28099 0.276382
\(695\) −9.94453 + 5.73663i −0.377218 + 0.217603i
\(696\) −19.1415 6.21944i −0.725555 0.235747i
\(697\) −1.35920 + 0.441630i −0.0514833 + 0.0167279i
\(698\) −7.96605 + 5.78768i −0.301520 + 0.219067i
\(699\) 49.3617 35.8634i 1.86703 1.35648i
\(700\) 7.74377 + 10.7254i 0.292687 + 0.405382i
\(701\) −9.48040 3.08037i −0.358070 0.116344i 0.124457 0.992225i \(-0.460281\pi\)
−0.482527 + 0.875881i \(0.660281\pi\)
\(702\) −0.424160 + 0.583806i −0.0160089 + 0.0220343i
\(703\) 3.03337i 0.114406i
\(704\) 0.944954 + 3.17916i 0.0356143 + 0.119819i
\(705\) 9.80194 21.9939i 0.369163 0.828337i
\(706\) −6.34305 4.60850i −0.238724 0.173443i
\(707\) −4.10958 3.71702i −0.154557 0.139793i
\(708\) 27.1476 8.82078i 1.02027 0.331505i
\(709\) 14.2703 10.3680i 0.535932 0.389377i −0.286640 0.958038i \(-0.592538\pi\)
0.822572 + 0.568661i \(0.192538\pi\)
\(710\) 3.53510 + 16.6613i 0.132670 + 0.625288i
\(711\) 38.9158 12.6445i 1.45945 0.474206i
\(712\) −9.68857 3.14801i −0.363094 0.117977i
\(713\) 21.9445 + 15.9436i 0.821828 + 0.597093i
\(714\) 3.64534 + 1.63283i 0.136424 + 0.0611071i
\(715\) −2.88102 5.29895i −0.107744 0.198170i
\(716\) 1.27251 0.0475560
\(717\) 10.9288 15.0422i 0.408144 0.561762i
\(718\) 32.5863 + 10.5879i 1.21611 + 0.395138i
\(719\) −6.31619 + 2.05225i −0.235554 + 0.0765361i −0.424415 0.905468i \(-0.639520\pi\)
0.188861 + 0.982004i \(0.439520\pi\)
\(720\) 1.21870 + 5.74386i 0.0454182 + 0.214061i
\(721\) 5.33819 + 25.3945i 0.198804 + 0.945739i
\(722\) 5.69839 + 17.5378i 0.212072 + 0.652690i
\(723\) −22.4125 + 68.9786i −0.833530 + 2.56534i
\(724\) −3.21681 + 4.42756i −0.119552 + 0.164549i
\(725\) −31.5502 + 28.3661i −1.17174 + 1.05349i
\(726\) −20.3072 16.3815i −0.753671 0.607974i
\(727\) −40.8132 −1.51368 −0.756839 0.653601i \(-0.773258\pi\)
−0.756839 + 0.653601i \(0.773258\pi\)
\(728\) −1.07169 1.86589i −0.0397196 0.0691545i
\(729\) −6.14913 + 18.9251i −0.227746 + 0.700929i
\(730\) −2.34446 + 22.2278i −0.0867725 + 0.822689i
\(731\) 0.668571 + 0.920209i 0.0247280 + 0.0340352i
\(732\) 22.4921 16.3415i 0.831332 0.603998i
\(733\) −20.9481 + 6.80646i −0.773737 + 0.251402i −0.669164 0.743115i \(-0.733348\pi\)
−0.104573 + 0.994517i \(0.533348\pi\)
\(734\) −8.93956 + 27.5131i −0.329965 + 1.01553i
\(735\) −35.2529 11.6440i −1.30032 0.429494i
\(736\) 5.84039i 0.215280i
\(737\) 14.3571 18.7469i 0.528851 0.690552i
\(738\) 5.89602 0.217036
\(739\) 15.4581 21.2762i 0.568635 0.782659i −0.423757 0.905776i \(-0.639289\pi\)
0.992392 + 0.123117i \(0.0392891\pi\)
\(740\) 6.06938 6.73577i 0.223115 0.247612i
\(741\) −1.37247 + 0.445941i −0.0504188 + 0.0163821i
\(742\) −5.45811 + 1.14735i −0.200373 + 0.0421206i
\(743\) 42.4776 30.8618i 1.55835 1.13221i 0.621005 0.783806i \(-0.286725\pi\)
0.937345 0.348402i \(-0.113275\pi\)
\(744\) −10.4768 + 3.40412i −0.384099 + 0.124801i
\(745\) −17.1141 + 18.9931i −0.627012 + 0.695855i
\(746\) −20.8333 15.1363i −0.762762 0.554179i
\(747\) 19.4863i 0.712967i
\(748\) 2.02353 0.601463i 0.0739877 0.0219917i
\(749\) 0.604175 1.34884i 0.0220761 0.0492855i
\(750\) 25.2117 + 8.22240i 0.920602 + 0.300239i
\(751\) −0.953302 + 2.93396i −0.0347865 + 0.107062i −0.966942 0.254996i \(-0.917926\pi\)
0.932156 + 0.362058i \(0.117926\pi\)
\(752\) −1.40295 4.31784i −0.0511604 0.157456i
\(753\) 5.44545 + 7.49502i 0.198443 + 0.273134i
\(754\) 5.58309 4.05635i 0.203324 0.147724i
\(755\) −0.477199 + 4.52432i −0.0173670 + 0.164657i
\(756\) 1.74104 + 1.57473i 0.0633210 + 0.0572724i
\(757\) −18.8592 + 25.9575i −0.685450 + 0.943440i −0.999983 0.00580602i \(-0.998152\pi\)
0.314534 + 0.949246i \(0.398152\pi\)
\(758\) −11.5492 −0.419487
\(759\) 26.0588 + 37.8398i 0.945875 + 1.37350i
\(760\) 0.680940 1.52791i 0.0247003 0.0554232i
\(761\) 20.1886 + 14.6679i 0.731836 + 0.531710i 0.890144 0.455680i \(-0.150604\pi\)
−0.158308 + 0.987390i \(0.550604\pi\)
\(762\) −3.57465 + 11.0016i −0.129496 + 0.398548i
\(763\) 0.662376 6.16880i 0.0239796 0.223326i
\(764\) 7.22468 5.24904i 0.261380 0.189904i
\(765\) 3.65597 0.775701i 0.132182 0.0280455i
\(766\) −2.68639 8.26786i −0.0970633 0.298730i
\(767\) −3.02451 + 9.30850i −0.109209 + 0.336110i
\(768\) 1.91891 + 1.39417i 0.0692426 + 0.0503077i
\(769\) 4.84628 0.174761 0.0873807 0.996175i \(-0.472150\pi\)
0.0873807 + 0.996175i \(0.472150\pi\)
\(770\) −18.1404 + 7.47844i −0.653733 + 0.269504i
\(771\) 46.5702 1.67718
\(772\) 17.0889 + 12.4158i 0.615042 + 0.446854i
\(773\) −4.04957 + 12.4633i −0.145653 + 0.448274i −0.997094 0.0761761i \(-0.975729\pi\)
0.851441