Properties

Label 384.2.w.a.131.5
Level $384$
Weight $2$
Character 384.131
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 131.5
Character \(\chi\) \(=\) 384.131
Dual form 384.2.w.a.299.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.37910 - 0.313196i) q^{2} +(-1.73187 - 0.0251802i) q^{3} +(1.80382 + 0.863856i) q^{4} +(-0.847138 + 2.79264i) q^{5} +(2.38053 + 0.577140i) q^{6} +(0.874231 + 4.39506i) q^{7} +(-2.21708 - 1.75629i) q^{8} +(2.99873 + 0.0872176i) q^{9} +O(q^{10})\) \(q+(-1.37910 - 0.313196i) q^{2} +(-1.73187 - 0.0251802i) q^{3} +(1.80382 + 0.863856i) q^{4} +(-0.847138 + 2.79264i) q^{5} +(2.38053 + 0.577140i) q^{6} +(0.874231 + 4.39506i) q^{7} +(-2.21708 - 1.75629i) q^{8} +(2.99873 + 0.0872176i) q^{9} +(2.04293 - 3.58600i) q^{10} +(0.263965 - 0.0259983i) q^{11} +(-3.10222 - 1.54150i) q^{12} +(-1.43291 - 4.72366i) q^{13} +(0.170865 - 6.33502i) q^{14} +(1.53745 - 4.81515i) q^{15} +(2.50751 + 3.11647i) q^{16} +(-5.15360 - 2.13469i) q^{17} +(-4.10823 - 1.05947i) q^{18} +(-2.20182 + 4.11931i) q^{19} +(-3.94052 + 4.30561i) q^{20} +(-1.40338 - 7.63367i) q^{21} +(-0.372177 - 0.0468188i) q^{22} +(3.95476 + 5.91872i) q^{23} +(3.79547 + 3.09749i) q^{24} +(-2.92385 - 1.95366i) q^{25} +(0.496685 + 6.96317i) q^{26} +(-5.19121 - 0.226558i) q^{27} +(-2.21974 + 8.68309i) q^{28} +(0.738285 + 0.0727147i) q^{29} +(-3.62838 + 6.15904i) q^{30} +(-1.24357 - 1.24357i) q^{31} +(-2.48203 - 5.08326i) q^{32} +(-0.457808 + 0.0383790i) q^{33} +(6.43873 + 4.55803i) q^{34} +(-13.0144 - 1.28181i) q^{35} +(5.33382 + 2.74780i) q^{36} +(-0.796534 - 1.49021i) q^{37} +(4.32667 - 4.99132i) q^{38} +(2.36266 + 8.21684i) q^{39} +(6.78286 - 4.70369i) q^{40} +(0.0428556 + 0.0641379i) q^{41} +(-0.455433 + 10.9671i) q^{42} +(-8.82340 - 7.24118i) q^{43} +(0.498604 + 0.181132i) q^{44} +(-2.78391 + 8.30050i) q^{45} +(-3.60028 - 9.40110i) q^{46} +(-0.670700 - 0.277813i) q^{47} +(-4.26420 - 5.46046i) q^{48} +(-12.0851 + 5.00581i) q^{49} +(3.42040 + 3.61002i) q^{50} +(8.87160 + 3.82677i) q^{51} +(1.49586 - 9.75844i) q^{52} +(-8.08141 + 0.795949i) q^{53} +(7.08823 + 1.93831i) q^{54} +(-0.151011 + 0.759185i) q^{55} +(5.78075 - 11.2796i) q^{56} +(3.91698 - 7.07865i) q^{57} +(-0.995392 - 0.331509i) q^{58} +(-2.18039 + 7.18778i) q^{59} +(6.93288 - 7.35752i) q^{60} +(7.08390 - 5.81361i) q^{61} +(1.32552 + 2.10448i) q^{62} +(2.23826 + 13.2558i) q^{63} +(1.83090 + 7.78767i) q^{64} +14.4054 q^{65} +(0.643382 + 0.0904554i) q^{66} +(-1.68240 - 2.05001i) q^{67} +(-7.45208 - 8.30255i) q^{68} +(-6.70009 - 10.3500i) q^{69} +(17.5467 + 5.84380i) q^{70} +(-0.0455044 - 0.228766i) q^{71} +(-6.49525 - 5.46001i) q^{72} +(3.61594 + 0.719255i) q^{73} +(0.631769 + 2.30462i) q^{74} +(5.01453 + 3.45710i) q^{75} +(-7.53016 + 5.52842i) q^{76} +(0.345031 + 1.13742i) q^{77} +(-0.684858 - 12.0718i) q^{78} +(-2.23998 - 5.40778i) q^{79} +(-10.8274 + 4.36248i) q^{80} +(8.98479 + 0.523085i) q^{81} +(-0.0390142 - 0.101875i) q^{82} +(-0.888754 + 1.66274i) q^{83} +(4.06294 - 14.9821i) q^{84} +(10.3272 - 12.5838i) q^{85} +(9.90042 + 12.7497i) q^{86} +(-1.27678 - 0.144522i) q^{87} +(-0.630893 - 0.405959i) q^{88} +(0.124313 + 0.0830634i) q^{89} +(6.43896 - 10.5753i) q^{90} +(19.5081 - 10.4273i) q^{91} +(2.02074 + 14.0926i) q^{92} +(2.12238 + 2.18501i) q^{93} +(0.837950 + 0.593192i) q^{94} +(-9.63850 - 9.63850i) q^{95} +(4.17055 + 8.86603i) q^{96} +(-7.91065 + 7.91065i) q^{97} +(18.2343 - 3.11849i) q^{98} +(0.793829 - 0.0549396i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} + O(q^{10}) \) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} - 32q^{10} - 16q^{12} - 32q^{13} - 16q^{15} - 32q^{16} - 16q^{18} - 32q^{19} - 16q^{21} - 32q^{22} - 16q^{24} - 32q^{25} - 16q^{27} - 32q^{28} - 16q^{30} - 32q^{31} - 16q^{33} - 32q^{34} - 16q^{36} - 32q^{37} - 16q^{39} - 32q^{40} - 16q^{42} - 32q^{43} - 16q^{45} - 32q^{46} - 16q^{48} - 32q^{49} - 16q^{51} - 128q^{52} - 16q^{54} - 32q^{55} - 16q^{57} - 320q^{58} - 16q^{60} - 32q^{61} - 32q^{63} - 224q^{64} - 16q^{66} - 32q^{67} - 16q^{69} - 224q^{70} - 16q^{72} - 32q^{73} - 16q^{75} - 256q^{76} - 16q^{78} - 32q^{79} - 16q^{81} - 32q^{82} - 16q^{84} - 32q^{85} - 16q^{87} - 32q^{88} - 16q^{90} - 32q^{91} - 16q^{93} - 32q^{94} - 16q^{96} - 32q^{97} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{32}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.37910 0.313196i −0.975169 0.221463i
\(3\) −1.73187 0.0251802i −0.999894 0.0145378i
\(4\) 1.80382 + 0.863856i 0.901908 + 0.431928i
\(5\) −0.847138 + 2.79264i −0.378852 + 1.24891i 0.535690 + 0.844415i \(0.320052\pi\)
−0.914542 + 0.404492i \(0.867448\pi\)
\(6\) 2.38053 + 0.577140i 0.971846 + 0.235617i
\(7\) 0.874231 + 4.39506i 0.330428 + 1.66118i 0.686811 + 0.726836i \(0.259010\pi\)
−0.356383 + 0.934340i \(0.615990\pi\)
\(8\) −2.21708 1.75629i −0.783857 0.620942i
\(9\) 2.99873 + 0.0872176i 0.999577 + 0.0290725i
\(10\) 2.04293 3.58600i 0.646031 1.13399i
\(11\) 0.263965 0.0259983i 0.0795886 0.00783879i −0.0581445 0.998308i \(-0.518518\pi\)
0.137733 + 0.990469i \(0.456018\pi\)
\(12\) −3.10222 1.54150i −0.895534 0.444994i
\(13\) −1.43291 4.72366i −0.397417 1.31011i −0.896304 0.443440i \(-0.853758\pi\)
0.498887 0.866667i \(-0.333742\pi\)
\(14\) 0.170865 6.33502i 0.0456657 1.69310i
\(15\) 1.53745 4.81515i 0.396968 1.24327i
\(16\) 2.50751 + 3.11647i 0.626877 + 0.779118i
\(17\) −5.15360 2.13469i −1.24993 0.517738i −0.343126 0.939289i \(-0.611486\pi\)
−0.906805 + 0.421551i \(0.861486\pi\)
\(18\) −4.10823 1.05947i −0.968318 0.249720i
\(19\) −2.20182 + 4.11931i −0.505131 + 0.945034i 0.492091 + 0.870544i \(0.336233\pi\)
−0.997222 + 0.0744898i \(0.976267\pi\)
\(20\) −3.94052 + 4.30561i −0.881127 + 0.962763i
\(21\) −1.40338 7.63367i −0.306244 1.66580i
\(22\) −0.372177 0.0468188i −0.0793483 0.00998179i
\(23\) 3.95476 + 5.91872i 0.824624 + 1.23414i 0.969598 + 0.244702i \(0.0786902\pi\)
−0.144974 + 0.989435i \(0.546310\pi\)
\(24\) 3.79547 + 3.09749i 0.774747 + 0.632272i
\(25\) −2.92385 1.95366i −0.584770 0.390731i
\(26\) 0.496685 + 6.96317i 0.0974079 + 1.36559i
\(27\) −5.19121 0.226558i −0.999049 0.0436011i
\(28\) −2.21974 + 8.68309i −0.419492 + 1.64095i
\(29\) 0.738285 + 0.0727147i 0.137096 + 0.0135028i 0.166332 0.986070i \(-0.446808\pi\)
−0.0292363 + 0.999573i \(0.509308\pi\)
\(30\) −3.62838 + 6.15904i −0.662449 + 1.12448i
\(31\) −1.24357 1.24357i −0.223352 0.223352i 0.586557 0.809908i \(-0.300483\pi\)
−0.809908 + 0.586557i \(0.800483\pi\)
\(32\) −2.48203 5.08326i −0.438765 0.898602i
\(33\) −0.457808 + 0.0383790i −0.0796941 + 0.00668092i
\(34\) 6.43873 + 4.55803i 1.10423 + 0.781696i
\(35\) −13.0144 1.28181i −2.19984 0.216665i
\(36\) 5.33382 + 2.74780i 0.888970 + 0.457966i
\(37\) −0.796534 1.49021i −0.130949 0.244989i 0.807898 0.589322i \(-0.200605\pi\)
−0.938848 + 0.344333i \(0.888105\pi\)
\(38\) 4.32667 4.99132i 0.701878 0.809699i
\(39\) 2.36266 + 8.21684i 0.378329 + 1.31575i
\(40\) 6.78286 4.70369i 1.07246 0.743719i
\(41\) 0.0428556 + 0.0641379i 0.00669291 + 0.0100167i 0.834801 0.550552i \(-0.185583\pi\)
−0.828108 + 0.560568i \(0.810583\pi\)
\(42\) −0.455433 + 10.9671i −0.0702749 + 1.69226i
\(43\) −8.82340 7.24118i −1.34556 1.10427i −0.985191 0.171458i \(-0.945152\pi\)
−0.360365 0.932811i \(-0.617348\pi\)
\(44\) 0.498604 + 0.181132i 0.0751674 + 0.0273067i
\(45\) −2.78391 + 8.30050i −0.415001 + 1.23736i
\(46\) −3.60028 9.40110i −0.530832 1.38612i
\(47\) −0.670700 0.277813i −0.0978317 0.0405232i 0.333231 0.942845i \(-0.391861\pi\)
−0.431062 + 0.902322i \(0.641861\pi\)
\(48\) −4.26420 5.46046i −0.615484 0.788150i
\(49\) −12.0851 + 5.00581i −1.72644 + 0.715116i
\(50\) 3.42040 + 3.61002i 0.483717 + 0.510534i
\(51\) 8.87160 + 3.82677i 1.24227 + 0.535855i
\(52\) 1.49586 9.75844i 0.207438 1.35325i
\(53\) −8.08141 + 0.795949i −1.11007 + 0.109332i −0.636390 0.771367i \(-0.719573\pi\)
−0.473676 + 0.880699i \(0.657073\pi\)
\(54\) 7.08823 + 1.93831i 0.964585 + 0.263771i
\(55\) −0.151011 + 0.759185i −0.0203624 + 0.102368i
\(56\) 5.78075 11.2796i 0.772485 1.50730i
\(57\) 3.91698 7.07865i 0.518816 0.937590i
\(58\) −0.995392 0.331509i −0.130701 0.0435292i
\(59\) −2.18039 + 7.18778i −0.283863 + 0.935770i 0.692825 + 0.721105i \(0.256366\pi\)
−0.976688 + 0.214664i \(0.931134\pi\)
\(60\) 6.93288 7.35752i 0.895031 0.949851i
\(61\) 7.08390 5.81361i 0.907001 0.744356i −0.0602487 0.998183i \(-0.519189\pi\)
0.967250 + 0.253827i \(0.0816894\pi\)
\(62\) 1.32552 + 2.10448i 0.168341 + 0.267270i
\(63\) 2.23826 + 13.2558i 0.281994 + 1.67008i
\(64\) 1.83090 + 7.78767i 0.228862 + 0.973459i
\(65\) 14.4054 1.78676
\(66\) 0.643382 + 0.0904554i 0.0791948 + 0.0111343i
\(67\) −1.68240 2.05001i −0.205538 0.250449i 0.660031 0.751238i \(-0.270543\pi\)
−0.865569 + 0.500790i \(0.833043\pi\)
\(68\) −7.45208 8.30255i −0.903697 1.00683i
\(69\) −6.70009 10.3500i −0.806596 1.24600i
\(70\) 17.5467 + 5.84380i 2.09723 + 0.698468i
\(71\) −0.0455044 0.228766i −0.00540037 0.0271495i 0.977991 0.208646i \(-0.0669058\pi\)
−0.983392 + 0.181497i \(0.941906\pi\)
\(72\) −6.49525 5.46001i −0.765473 0.643468i
\(73\) 3.61594 + 0.719255i 0.423214 + 0.0841825i 0.402102 0.915595i \(-0.368280\pi\)
0.0211113 + 0.999777i \(0.493280\pi\)
\(74\) 0.631769 + 2.30462i 0.0734417 + 0.267906i
\(75\) 5.01453 + 3.45710i 0.579028 + 0.399191i
\(76\) −7.53016 + 5.52842i −0.863768 + 0.634153i
\(77\) 0.345031 + 1.13742i 0.0393199 + 0.129620i
\(78\) −0.684858 12.0718i −0.0775450 1.36686i
\(79\) −2.23998 5.40778i −0.252017 0.608423i 0.746350 0.665554i \(-0.231805\pi\)
−0.998367 + 0.0571310i \(0.981805\pi\)
\(80\) −10.8274 + 4.36248i −1.21054 + 0.487740i
\(81\) 8.98479 + 0.523085i 0.998310 + 0.0581205i
\(82\) −0.0390142 0.101875i −0.00430840 0.0112502i
\(83\) −0.888754 + 1.66274i −0.0975534 + 0.182510i −0.925964 0.377612i \(-0.876745\pi\)
0.828411 + 0.560121i \(0.189245\pi\)
\(84\) 4.06294 14.9821i 0.443303 1.63468i
\(85\) 10.3272 12.5838i 1.12015 1.36490i
\(86\) 9.90042 + 12.7497i 1.06759 + 1.37484i
\(87\) −1.27678 0.144522i −0.136885 0.0154944i
\(88\) −0.630893 0.405959i −0.0672535 0.0432754i
\(89\) 0.124313 + 0.0830634i 0.0131772 + 0.00880470i 0.562141 0.827041i \(-0.309978\pi\)
−0.548964 + 0.835846i \(0.684978\pi\)
\(90\) 6.43896 10.5753i 0.678726 1.11473i
\(91\) 19.5081 10.4273i 2.04500 1.09308i
\(92\) 2.02074 + 14.0926i 0.210677 + 1.46926i
\(93\) 2.12238 + 2.18501i 0.220081 + 0.226575i
\(94\) 0.837950 + 0.593192i 0.0864280 + 0.0611831i
\(95\) −9.63850 9.63850i −0.988889 0.988889i
\(96\) 4.17055 + 8.86603i 0.425655 + 0.904886i
\(97\) −7.91065 + 7.91065i −0.803205 + 0.803205i −0.983595 0.180390i \(-0.942264\pi\)
0.180390 + 0.983595i \(0.442264\pi\)
\(98\) 18.2343 3.11849i 1.84194 0.315015i
\(99\) 0.793829 0.0549396i 0.0797828 0.00552164i
\(100\) −3.58642 6.04982i −0.358642 0.604982i
\(101\) 1.86797 + 3.49472i 0.185870 + 0.347738i 0.957547 0.288276i \(-0.0930821\pi\)
−0.771678 + 0.636014i \(0.780582\pi\)
\(102\) −11.0363 8.05604i −1.09275 0.797666i
\(103\) −3.12996 + 4.68432i −0.308404 + 0.461560i −0.953003 0.302962i \(-0.902025\pi\)
0.644598 + 0.764521i \(0.277025\pi\)
\(104\) −5.11924 + 12.9893i −0.501983 + 1.27371i
\(105\) 22.5070 + 2.54763i 2.19646 + 0.248623i
\(106\) 11.3943 + 1.43337i 1.10672 + 0.139222i
\(107\) 10.5446 + 8.65371i 1.01938 + 0.836585i 0.986646 0.162879i \(-0.0520779\pi\)
0.0327362 + 0.999464i \(0.489578\pi\)
\(108\) −9.16828 4.89313i −0.882218 0.470841i
\(109\) 5.46359 + 2.92035i 0.523317 + 0.279719i 0.711830 0.702352i \(-0.247867\pi\)
−0.188513 + 0.982071i \(0.560367\pi\)
\(110\) 0.446033 0.999693i 0.0425276 0.0953170i
\(111\) 1.34197 + 2.60090i 0.127374 + 0.246867i
\(112\) −11.5049 + 13.7452i −1.08711 + 1.29880i
\(113\) 10.8874 4.50970i 1.02420 0.424237i 0.193583 0.981084i \(-0.437989\pi\)
0.830615 + 0.556847i \(0.187989\pi\)
\(114\) −7.61890 + 8.53536i −0.713575 + 0.799410i
\(115\) −19.8791 + 6.03025i −1.85373 + 0.562324i
\(116\) 1.26892 + 0.768935i 0.117816 + 0.0713939i
\(117\) −3.88492 14.2900i −0.359161 1.32111i
\(118\) 5.25815 9.22976i 0.484052 0.849668i
\(119\) 4.87665 24.5166i 0.447042 2.24743i
\(120\) −11.8655 + 7.97538i −1.08316 + 0.728049i
\(121\) −10.7196 + 2.13227i −0.974512 + 0.193843i
\(122\) −11.5902 + 5.79888i −1.04933 + 0.525006i
\(123\) −0.0726052 0.112157i −0.00654659 0.0101129i
\(124\) −1.16891 3.31743i −0.104971 0.297914i
\(125\) −3.34663 + 2.74650i −0.299331 + 0.245655i
\(126\) 1.06490 18.9821i 0.0948693 1.69106i
\(127\) 19.4892i 1.72939i 0.502300 + 0.864693i \(0.332487\pi\)
−0.502300 + 0.864693i \(0.667513\pi\)
\(128\) −0.0859178 11.3134i −0.00759413 0.999971i
\(129\) 15.0986 + 12.7629i 1.32936 + 1.12371i
\(130\) −19.8664 4.51170i −1.74240 0.395702i
\(131\) −10.0792 12.2816i −0.880625 1.07305i −0.996810 0.0798173i \(-0.974566\pi\)
0.116184 0.993228i \(-0.462934\pi\)
\(132\) −0.858955 0.326251i −0.0747625 0.0283965i
\(133\) −20.0295 6.07588i −1.73678 0.526845i
\(134\) 1.67814 + 3.35409i 0.144969 + 0.289749i
\(135\) 5.03037 14.3053i 0.432945 1.23120i
\(136\) 7.67681 + 13.7840i 0.658281 + 1.18197i
\(137\) 8.10047 + 1.61128i 0.692070 + 0.137661i 0.528580 0.848884i \(-0.322725\pi\)
0.163490 + 0.986545i \(0.447725\pi\)
\(138\) 5.99848 + 16.3721i 0.510625 + 1.39369i
\(139\) 1.43360 + 14.5555i 0.121596 + 1.23459i 0.841402 + 0.540410i \(0.181731\pi\)
−0.719806 + 0.694176i \(0.755769\pi\)
\(140\) −22.3683 13.5547i −1.89047 1.14558i
\(141\) 1.15457 + 0.498024i 0.0972322 + 0.0419412i
\(142\) −0.00889367 + 0.329742i −0.000746340 + 0.0276713i
\(143\) −0.501045 1.20963i −0.0418995 0.101154i
\(144\) 7.24753 + 9.56417i 0.603961 + 0.797014i
\(145\) −0.828495 + 2.00016i −0.0688028 + 0.166105i
\(146\) −4.76146 2.12442i −0.394062 0.175818i
\(147\) 21.0558 8.36510i 1.73666 0.689942i
\(148\) −0.149474 3.37616i −0.0122867 0.277518i
\(149\) 6.15789 7.50341i 0.504474 0.614703i −0.457045 0.889444i \(-0.651092\pi\)
0.961518 + 0.274741i \(0.0885920\pi\)
\(150\) −5.83277 6.33820i −0.476244 0.517512i
\(151\) 18.6875 12.4866i 1.52077 1.01615i 0.535620 0.844459i \(-0.320078\pi\)
0.985151 0.171687i \(-0.0549219\pi\)
\(152\) 12.1163 5.26581i 0.982761 0.427114i
\(153\) −15.2681 6.85085i −1.23435 0.553858i
\(154\) −0.119597 1.67667i −0.00963742 0.135110i
\(155\) 4.52632 2.41937i 0.363562 0.194328i
\(156\) −2.83635 + 16.8627i −0.227090 + 1.35009i
\(157\) −1.54003 + 15.6362i −0.122908 + 1.24790i 0.713838 + 0.700311i \(0.246955\pi\)
−0.836746 + 0.547592i \(0.815545\pi\)
\(158\) 1.39545 + 8.15941i 0.111016 + 0.649128i
\(159\) 14.0160 1.17499i 1.11154 0.0931825i
\(160\) 16.2983 2.62519i 1.28850 0.207539i
\(161\) −22.5557 + 22.5557i −1.77764 + 1.77764i
\(162\) −12.2271 3.53538i −0.960649 0.277766i
\(163\) −2.03194 + 20.6307i −0.159154 + 1.61592i 0.501452 + 0.865186i \(0.332799\pi\)
−0.660606 + 0.750733i \(0.729701\pi\)
\(164\) 0.0218977 + 0.152714i 0.00170992 + 0.0119250i
\(165\) 0.280648 1.31101i 0.0218484 0.102062i
\(166\) 1.74644 2.01473i 0.135550 0.156373i
\(167\) 5.68707 8.51130i 0.440079 0.658624i −0.543436 0.839450i \(-0.682877\pi\)
0.983515 + 0.180826i \(0.0578771\pi\)
\(168\) −10.2955 + 19.3892i −0.794316 + 1.49591i
\(169\) −9.45064 + 6.31471i −0.726972 + 0.485747i
\(170\) −18.1834 + 14.1198i −1.39461 + 1.08294i
\(171\) −6.96193 + 12.1607i −0.532392 + 0.929949i
\(172\) −9.66046 20.6839i −0.736603 1.57713i
\(173\) −11.4327 6.11090i −0.869211 0.464603i −0.0244214 0.999702i \(-0.507774\pi\)
−0.844789 + 0.535099i \(0.820274\pi\)
\(174\) 1.71554 + 0.599193i 0.130055 + 0.0454247i
\(175\) 6.03030 14.5584i 0.455848 1.10051i
\(176\) 0.742918 + 0.757451i 0.0559996 + 0.0570950i
\(177\) 3.95714 12.3934i 0.297437 0.931544i
\(178\) −0.145425 0.153487i −0.0109000 0.0115043i
\(179\) 2.02186 0.613323i 0.151121 0.0458419i −0.213818 0.976874i \(-0.568590\pi\)
0.364939 + 0.931032i \(0.381090\pi\)
\(180\) −12.1921 + 12.5677i −0.908745 + 0.936739i
\(181\) 1.69021 + 17.1610i 0.125632 + 1.27557i 0.826770 + 0.562541i \(0.190176\pi\)
−0.701137 + 0.713026i \(0.747324\pi\)
\(182\) −30.1693 + 8.27038i −2.23630 + 0.613041i
\(183\) −12.4148 + 9.89003i −0.917726 + 0.731092i
\(184\) 1.62695 20.0680i 0.119941 1.47943i
\(185\) 4.83640 0.962019i 0.355579 0.0707290i
\(186\) −2.24264 3.67806i −0.164438 0.269689i
\(187\) −1.41587 0.429500i −0.103539 0.0314081i
\(188\) −0.969829 1.08051i −0.0707321 0.0788044i
\(189\) −3.54258 23.0137i −0.257685 1.67400i
\(190\) 10.2737 + 16.3112i 0.745331 + 1.18334i
\(191\) 0.377592i 0.0273216i 0.999907 + 0.0136608i \(0.00434850\pi\)
−0.999907 + 0.0136608i \(0.995652\pi\)
\(192\) −2.97478 13.5333i −0.214686 0.976683i
\(193\) 2.72939i 0.196466i −0.995163 0.0982330i \(-0.968681\pi\)
0.995163 0.0982330i \(-0.0313191\pi\)
\(194\) 13.3871 8.43197i 0.961141 0.605380i
\(195\) −24.9482 0.362730i −1.78658 0.0259756i
\(196\) −26.1236 1.41022i −1.86597 0.100730i
\(197\) 22.3979 + 6.79432i 1.59578 + 0.484075i 0.958150 0.286266i \(-0.0924141\pi\)
0.637632 + 0.770341i \(0.279914\pi\)
\(198\) −1.11197 0.172857i −0.0790246 0.0122844i
\(199\) −13.0408 + 2.59398i −0.924437 + 0.183882i −0.634286 0.773099i \(-0.718706\pi\)
−0.290152 + 0.956981i \(0.593706\pi\)
\(200\) 3.05123 + 9.46654i 0.215755 + 0.669386i
\(201\) 2.86208 + 3.59271i 0.201875 + 0.253410i
\(202\) −1.48157 5.40460i −0.104243 0.380266i
\(203\) 0.325846 + 3.30837i 0.0228699 + 0.232202i
\(204\) 12.6970 + 14.5666i 0.888965 + 1.01986i
\(205\) −0.215419 + 0.0653465i −0.0150455 + 0.00456400i
\(206\) 5.78363 5.47984i 0.402965 0.381798i
\(207\) 11.3430 + 18.0936i 0.788396 + 1.25759i
\(208\) 11.1281 16.3102i 0.771598 1.13091i
\(209\) −0.474108 + 1.14460i −0.0327947 + 0.0791735i
\(210\) −30.2414 10.5625i −2.08685 0.728883i
\(211\) −5.93969 3.17483i −0.408905 0.218564i 0.254102 0.967177i \(-0.418220\pi\)
−0.663007 + 0.748613i \(0.730720\pi\)
\(212\) −15.2650 5.54542i −1.04840 0.380861i
\(213\) 0.0730472 + 0.397338i 0.00500511 + 0.0272252i
\(214\) −11.8317 15.2368i −0.808797 1.04157i
\(215\) 27.6967 18.5063i 1.88890 1.26212i
\(216\) 11.1114 + 9.61956i 0.756037 + 0.654528i
\(217\) 4.37839 6.55272i 0.297225 0.444828i
\(218\) −6.62017 5.73862i −0.448375 0.388668i
\(219\) −6.24422 1.33671i −0.421945 0.0903262i
\(220\) −0.928223 + 1.23898i −0.0625808 + 0.0835319i
\(221\) −2.69893 + 27.4027i −0.181549 + 1.84330i
\(222\) −1.03611 4.00720i −0.0695392 0.268945i
\(223\) 16.2942 16.2942i 1.09114 1.09114i 0.0957311 0.995407i \(-0.469481\pi\)
0.995407 0.0957311i \(-0.0305189\pi\)
\(224\) 20.1714 15.3526i 1.34776 1.02579i
\(225\) −8.59745 6.11350i −0.573164 0.407567i
\(226\) −16.4272 + 2.80943i −1.09272 + 0.186880i
\(227\) −1.87710 + 19.0585i −0.124588 + 1.26496i 0.706056 + 0.708156i \(0.250473\pi\)
−0.830644 + 0.556804i \(0.812027\pi\)
\(228\) 13.1804 9.38488i 0.872896 0.621529i
\(229\) 7.85117 4.19654i 0.518820 0.277315i −0.191133 0.981564i \(-0.561216\pi\)
0.709953 + 0.704249i \(0.248716\pi\)
\(230\) 29.3038 2.09025i 1.93224 0.137827i
\(231\) −0.568908 1.97854i −0.0374314 0.130178i
\(232\) −1.50913 1.45786i −0.0990792 0.0957129i
\(233\) −5.63315 + 3.76395i −0.369040 + 0.246585i −0.726237 0.687445i \(-0.758732\pi\)
0.357197 + 0.934029i \(0.383732\pi\)
\(234\) 0.882114 + 20.9240i 0.0576656 + 1.36784i
\(235\) 1.34401 1.63768i 0.0876734 0.106830i
\(236\) −10.1422 + 11.0819i −0.660203 + 0.721370i
\(237\) 3.74317 + 9.42197i 0.243145 + 0.612023i
\(238\) −14.4039 + 32.2834i −0.933664 + 2.09262i
\(239\) −4.01516 + 9.69345i −0.259719 + 0.627017i −0.998920 0.0464680i \(-0.985203\pi\)
0.739201 + 0.673485i \(0.235203\pi\)
\(240\) 18.8615 7.28261i 1.21750 0.470090i
\(241\) 3.25947 + 7.86905i 0.209961 + 0.506890i 0.993417 0.114557i \(-0.0365450\pi\)
−0.783456 + 0.621447i \(0.786545\pi\)
\(242\) 15.4512 + 0.416744i 0.993243 + 0.0267893i
\(243\) −15.5473 1.13215i −0.997359 0.0726276i
\(244\) 17.8002 4.36721i 1.13954 0.279582i
\(245\) −3.74168 37.9899i −0.239047 2.42709i
\(246\) 0.0650023 + 0.177416i 0.00414439 + 0.0113116i
\(247\) 22.6132 + 4.49804i 1.43884 + 0.286204i
\(248\) 0.573027 + 4.94116i 0.0363873 + 0.313764i
\(249\) 1.58107 2.85727i 0.100196 0.181072i
\(250\) 5.47552 2.73955i 0.346302 0.173264i
\(251\) 0.978905 + 0.296948i 0.0617880 + 0.0187432i 0.321027 0.947070i \(-0.395972\pi\)
−0.259239 + 0.965813i \(0.583472\pi\)
\(252\) −7.41373 + 25.8446i −0.467021 + 1.62806i
\(253\) 1.19780 + 1.45952i 0.0753048 + 0.0917592i
\(254\) 6.10394 26.8775i 0.382995 1.68644i
\(255\) −18.2023 + 21.5334i −1.13987 + 1.34847i
\(256\) −3.42482 + 15.6292i −0.214051 + 0.976822i
\(257\) 22.4996i 1.40349i −0.712429 0.701744i \(-0.752405\pi\)
0.712429 0.701744i \(-0.247595\pi\)
\(258\) −16.8252 22.3302i −1.04749 1.39022i
\(259\) 5.85320 4.80360i 0.363700 0.298481i
\(260\) 25.9846 + 12.4441i 1.61150 + 0.771753i
\(261\) 2.20758 + 0.282443i 0.136646 + 0.0174828i
\(262\) 10.0537 + 20.0942i 0.621118 + 1.24143i
\(263\) −20.5406 + 4.08578i −1.26659 + 0.251940i −0.782262 0.622949i \(-0.785934\pi\)
−0.484324 + 0.874889i \(0.660934\pi\)
\(264\) 1.08240 + 0.718954i 0.0666172 + 0.0442485i
\(265\) 4.62327 23.2427i 0.284005 1.42779i
\(266\) 25.7197 + 14.6524i 1.57697 + 0.898395i
\(267\) −0.213202 0.146985i −0.0130478 0.00899534i
\(268\) −1.26383 5.15119i −0.0772006 0.314659i
\(269\) −15.9935 + 4.85157i −0.975139 + 0.295805i −0.737350 0.675511i \(-0.763923\pi\)
−0.237790 + 0.971317i \(0.576423\pi\)
\(270\) −11.4177 + 18.1528i −0.694860 + 1.10475i
\(271\) −19.7170 + 8.16704i −1.19772 + 0.496112i −0.890262 0.455449i \(-0.849479\pi\)
−0.307459 + 0.951561i \(0.599479\pi\)
\(272\) −6.26998 21.4138i −0.380173 1.29840i
\(273\) −34.0480 + 17.5675i −2.06068 + 1.06323i
\(274\) −10.6667 4.75915i −0.644398 0.287511i
\(275\) −0.822588 0.439682i −0.0496039 0.0265138i
\(276\) −3.14481 24.4574i −0.189295 1.47216i
\(277\) −10.8929 8.93954i −0.654489 0.537125i 0.247498 0.968888i \(-0.420392\pi\)
−0.901987 + 0.431763i \(0.857892\pi\)
\(278\) 2.58167 20.5225i 0.154838 1.23086i
\(279\) −3.62067 3.83759i −0.216764 0.229751i
\(280\) 26.6028 + 25.6989i 1.58982 + 1.53581i
\(281\) −15.0268 + 22.4892i −0.896424 + 1.34159i 0.0430865 + 0.999071i \(0.486281\pi\)
−0.939510 + 0.342521i \(0.888719\pi\)
\(282\) −1.43628 1.04843i −0.0855294 0.0624331i
\(283\) −0.598771 1.12022i −0.0355932 0.0665903i 0.863496 0.504356i \(-0.168270\pi\)
−0.899089 + 0.437766i \(0.855770\pi\)
\(284\) 0.115539 0.451961i 0.00685599 0.0268189i
\(285\) 16.4499 + 16.9353i 0.974409 + 1.00316i
\(286\) 0.312138 + 1.82512i 0.0184571 + 0.107922i
\(287\) −0.244424 + 0.244424i −0.0144279 + 0.0144279i
\(288\) −6.99958 15.4598i −0.412454 0.910978i
\(289\) 9.98185 + 9.98185i 0.587168 + 0.587168i
\(290\) 1.76902 2.49894i 0.103880 0.146743i
\(291\) 13.8994 13.5010i 0.814797 0.791443i
\(292\) 5.90116 + 4.42105i 0.345339 + 0.258723i
\(293\) 1.02407 0.547377i 0.0598268 0.0319781i −0.441212 0.897403i \(-0.645451\pi\)
0.501039 + 0.865425i \(0.332951\pi\)
\(294\) −31.6580 + 4.94167i −1.84633 + 0.288204i
\(295\) −18.2258 12.1781i −1.06115 0.709036i
\(296\) −0.851259 + 4.70286i −0.0494784 + 0.273348i
\(297\) −1.37619 + 0.0751593i −0.0798547 + 0.00436118i
\(298\) −10.8424 + 8.41930i −0.628081 + 0.487717i
\(299\) 22.2912 27.1619i 1.28913 1.57081i
\(300\) 6.05886 + 10.5678i 0.349809 + 0.610132i
\(301\) 24.1117 45.1098i 1.38978 2.60009i
\(302\) −29.6827 + 11.3674i −1.70805 + 0.654120i
\(303\) −3.14708 6.09943i −0.180795 0.350403i
\(304\) −18.3588 + 3.46729i −1.05295 + 0.198863i
\(305\) 10.2343 + 24.7077i 0.586013 + 1.41476i
\(306\) 18.9105 + 14.2299i 1.08104 + 0.813468i
\(307\) 2.53039 + 8.34158i 0.144417 + 0.476079i 0.999070 0.0431207i \(-0.0137300\pi\)
−0.854653 + 0.519200i \(0.826230\pi\)
\(308\) −0.360190 + 2.34974i −0.0205237 + 0.133889i
\(309\) 5.53863 8.03381i 0.315082 0.457027i
\(310\) −6.99997 + 1.91892i −0.397571 + 0.108987i
\(311\) 6.16131 + 1.22556i 0.349376 + 0.0694952i 0.366659 0.930355i \(-0.380502\pi\)
−0.0172829 + 0.999851i \(0.505502\pi\)
\(312\) 9.19292 22.3669i 0.520447 1.26628i
\(313\) 5.33329 + 26.8122i 0.301455 + 1.51552i 0.773416 + 0.633898i \(0.218546\pi\)
−0.471961 + 0.881619i \(0.656454\pi\)
\(314\) 7.02104 21.0815i 0.396220 1.18970i
\(315\) −38.9149 4.97888i −2.19261 0.280528i
\(316\) 0.631037 11.6897i 0.0354986 0.657595i
\(317\) 22.2010 + 27.0521i 1.24694 + 1.51939i 0.766314 + 0.642466i \(0.222089\pi\)
0.480621 + 0.876928i \(0.340411\pi\)
\(318\) −19.6974 2.76933i −1.10457 0.155296i
\(319\) 0.196772 0.0110171
\(320\) −23.2992 1.48419i −1.30246 0.0829689i
\(321\) −18.0439 15.2526i −1.00711 0.851317i
\(322\) 38.1709 24.0422i 2.12718 1.33982i
\(323\) 20.1407 16.5291i 1.12066 0.919701i
\(324\) 15.7550 + 8.70511i 0.875280 + 0.483617i
\(325\) −5.03880 + 16.6107i −0.279502 + 0.921395i
\(326\) 9.26369 27.8153i 0.513068 1.54055i
\(327\) −9.38868 5.19523i −0.519195 0.287297i
\(328\) 0.0176304 0.217466i 0.000973475 0.0120075i
\(329\) 0.634657 3.19064i 0.0349898 0.175906i
\(330\) −0.797643 + 1.72011i −0.0439088 + 0.0946887i
\(331\) 0.401552 0.0395494i 0.0220713 0.00217383i −0.0869755 0.996210i \(-0.527720\pi\)
0.109047 + 0.994037i \(0.465220\pi\)
\(332\) −3.03952 + 2.23153i −0.166815 + 0.122471i
\(333\) −2.25862 4.53821i −0.123772 0.248692i
\(334\) −10.5087 + 9.95674i −0.575012 + 0.544809i
\(335\) 7.15017 2.96170i 0.390656 0.161815i
\(336\) 20.2711 23.5151i 1.10588 1.28285i
\(337\) 3.48669 + 1.44424i 0.189932 + 0.0786725i 0.475623 0.879649i \(-0.342223\pi\)
−0.285690 + 0.958322i \(0.592223\pi\)
\(338\) 15.0111 5.74870i 0.816495 0.312688i
\(339\) −18.9691 + 7.53606i −1.03026 + 0.409303i
\(340\) 29.4990 13.7776i 1.59981 0.747194i
\(341\) −0.360590 0.295929i −0.0195270 0.0160254i
\(342\) 13.4098 14.5903i 0.725121 0.788952i
\(343\) −15.1388 22.6568i −0.817418 1.22335i
\(344\) 6.84460 + 31.5507i 0.369036 + 1.70110i
\(345\) 34.5798 9.94304i 1.86171 0.535315i
\(346\) 13.8529 + 12.0082i 0.744735 + 0.645564i
\(347\) 5.82494 + 10.8977i 0.312699 + 0.585019i 0.988349 0.152204i \(-0.0486370\pi\)
−0.675650 + 0.737222i \(0.736137\pi\)
\(348\) −2.17823 1.36365i −0.116765 0.0730991i
\(349\) 15.0048 + 1.47784i 0.803189 + 0.0791072i 0.491276 0.871004i \(-0.336530\pi\)
0.311912 + 0.950111i \(0.399030\pi\)
\(350\) −12.8760 + 18.1888i −0.688252 + 0.972234i
\(351\) 6.36834 + 24.8462i 0.339917 + 1.32619i
\(352\) −0.787326 1.27728i −0.0419646 0.0680791i
\(353\) −10.5856 10.5856i −0.563415 0.563415i 0.366861 0.930276i \(-0.380433\pi\)
−0.930276 + 0.366861i \(0.880433\pi\)
\(354\) −9.33884 + 15.8523i −0.496354 + 0.842541i
\(355\) 0.677409 + 0.0667190i 0.0359532 + 0.00354108i
\(356\) 0.152483 + 0.257220i 0.00808160 + 0.0136326i
\(357\) −9.06305 + 42.3367i −0.479667 + 2.24069i
\(358\) −2.98043 + 0.212595i −0.157520 + 0.0112360i
\(359\) 5.11078 + 3.41492i 0.269737 + 0.180232i 0.683081 0.730342i \(-0.260639\pi\)
−0.413344 + 0.910575i \(0.635639\pi\)
\(360\) 20.7502 13.5135i 1.09363 0.712225i
\(361\) −1.56486 2.34198i −0.0823610 0.123262i
\(362\) 3.04379 24.1960i 0.159978 1.27172i
\(363\) 18.6187 3.42288i 0.977227 0.179655i
\(364\) 44.1966 1.95674i 2.31653 0.102561i
\(365\) −5.07182 + 9.48871i −0.265471 + 0.496662i
\(366\) 20.2187 9.75105i 1.05685 0.509695i
\(367\) 2.80393 + 1.16143i 0.146364 + 0.0606260i 0.454663 0.890664i \(-0.349760\pi\)
−0.308299 + 0.951290i \(0.599760\pi\)
\(368\) −8.52894 + 27.1661i −0.444602 + 1.41613i
\(369\) 0.122918 + 0.196070i 0.00639888 + 0.0102070i
\(370\) −6.97116 0.188023i −0.362413 0.00977486i
\(371\) −10.5633 34.8224i −0.548417 1.80789i
\(372\) 1.94086 + 5.77479i 0.100629 + 0.299409i
\(373\) 15.1430 1.49146i 0.784075 0.0772247i 0.301946 0.953325i \(-0.402364\pi\)
0.482129 + 0.876100i \(0.339864\pi\)
\(374\) 1.81810 + 1.03577i 0.0940120 + 0.0535582i
\(375\) 5.86507 4.67231i 0.302871 0.241277i
\(376\) 0.999076 + 1.79388i 0.0515234 + 0.0925121i
\(377\) −0.714414 3.59160i −0.0367942 0.184977i
\(378\) −2.32225 + 32.8477i −0.119444 + 1.68950i
\(379\) −0.608656 + 2.00647i −0.0312646 + 0.103065i −0.971184 0.238331i \(-0.923400\pi\)
0.939919 + 0.341396i \(0.110900\pi\)
\(380\) −9.05981 25.7124i −0.464759 1.31902i
\(381\) 0.490742 33.7527i 0.0251415 1.72920i
\(382\) 0.118260 0.520736i 0.00605072 0.0266432i
\(383\) 1.37134 0.0700723 0.0350362 0.999386i \(-0.488845\pi\)
0.0350362 + 0.999386i \(0.488845\pi\)
\(384\) −0.136075 + 19.5954i −0.00694406 + 0.999976i
\(385\) −3.46868 −0.176780
\(386\) −0.854836 + 3.76410i −0.0435100 + 0.191588i
\(387\) −25.8275 22.4839i −1.31288 1.14292i
\(388\) −21.1030 + 7.43570i −1.07134 + 0.377491i
\(389\) 0.753211 2.48301i 0.0381893 0.125893i −0.935773 0.352603i \(-0.885297\pi\)
0.973962 + 0.226709i \(0.0727967\pi\)
\(390\) 34.2923 + 8.31391i 1.73646 + 0.420991i
\(391\) −7.74662 38.9449i −0.391763 1.96953i
\(392\) 35.5853 + 10.1266i 1.79733 + 0.511472i
\(393\) 17.1466 + 21.5238i 0.864933 + 1.08573i
\(394\) −28.7609 16.3850i −1.44895 0.825462i
\(395\) 16.9996 1.67431i 0.855341 0.0842437i
\(396\) 1.47938 + 0.586653i 0.0743417 + 0.0294804i
\(397\) −5.74875 18.9511i −0.288522 0.951128i −0.974666 0.223663i \(-0.928198\pi\)
0.686145 0.727465i \(-0.259302\pi\)
\(398\) 18.7969 + 0.506983i 0.942206 + 0.0254128i
\(399\) 34.5354 + 11.0270i 1.72893 + 0.552039i
\(400\) −1.24306 14.0109i −0.0621531 0.700546i
\(401\) 27.9758 + 11.5879i 1.39704 + 0.578674i 0.948982 0.315329i \(-0.102115\pi\)
0.448060 + 0.894003i \(0.352115\pi\)
\(402\) −2.82186 5.85109i −0.140741 0.291826i
\(403\) −4.09228 + 7.65611i −0.203851 + 0.381378i
\(404\) 0.350536 + 7.91749i 0.0174398 + 0.393910i
\(405\) −9.07214 + 24.6482i −0.450798 + 1.22478i
\(406\) 0.586796 4.66462i 0.0291222 0.231501i
\(407\) −0.249000 0.372655i −0.0123425 0.0184718i
\(408\) −12.9481 24.0653i −0.641028 1.19141i
\(409\) 2.93313 + 1.95985i 0.145034 + 0.0969086i 0.625970 0.779847i \(-0.284703\pi\)
−0.480936 + 0.876756i \(0.659703\pi\)
\(410\) 0.317550 0.0226509i 0.0156827 0.00111865i
\(411\) −13.9884 2.99450i −0.689996 0.147708i
\(412\) −9.69245 + 5.74582i −0.477513 + 0.283076i
\(413\) −33.4969 3.29916i −1.64827 0.162341i
\(414\) −9.97633 28.5054i −0.490310 1.40096i
\(415\) −3.89054 3.89054i −0.190979 0.190979i
\(416\) −20.4551 + 19.0081i −1.00289 + 0.931948i
\(417\) −2.11629 25.2444i −0.103635 1.23622i
\(418\) 1.01232 1.43002i 0.0495144 0.0699447i
\(419\) 12.7715 + 1.25789i 0.623931 + 0.0614518i 0.405042 0.914298i \(-0.367257\pi\)
0.218889 + 0.975750i \(0.429757\pi\)
\(420\) 38.3977 + 24.0382i 1.87361 + 1.17295i
\(421\) 10.3070 + 19.2831i 0.502333 + 0.939800i 0.997477 + 0.0709885i \(0.0226154\pi\)
−0.495144 + 0.868811i \(0.664885\pi\)
\(422\) 7.19706 + 6.23868i 0.350347 + 0.303694i
\(423\) −1.98702 0.891584i −0.0966122 0.0433503i
\(424\) 19.3150 + 12.4286i 0.938022 + 0.603586i
\(425\) 10.8979 + 16.3099i 0.528626 + 0.791145i
\(426\) 0.0237056 0.570846i 0.00114854 0.0276576i
\(427\) 31.7441 + 26.0517i 1.53621 + 1.26073i
\(428\) 11.5449 + 24.7187i 0.558045 + 1.19482i
\(429\) 0.837285 + 2.10754i 0.0404245 + 0.101753i
\(430\) −43.9925 + 16.8475i −2.12151 + 0.812459i
\(431\) −24.2224 10.0332i −1.16675 0.483284i −0.286634 0.958040i \(-0.592536\pi\)
−0.880118 + 0.474756i \(0.842536\pi\)
\(432\) −12.3109 16.7464i −0.592310 0.805710i
\(433\) −21.6527 + 8.96884i −1.04056 + 0.431015i −0.836514 0.547946i \(-0.815410\pi\)
−0.204048 + 0.978961i \(0.565410\pi\)
\(434\) −8.09051 + 7.66555i −0.388357 + 0.367958i
\(435\) 1.48521 3.44316i 0.0712103 0.165087i
\(436\) 7.33255 + 9.98752i 0.351165 + 0.478316i
\(437\) −33.0887 + 3.25895i −1.58284 + 0.155897i
\(438\) 8.19273 + 3.79911i 0.391464 + 0.181529i
\(439\) 1.84416 9.27120i 0.0880167 0.442490i −0.911497 0.411307i \(-0.865072\pi\)
0.999514 0.0311832i \(-0.00992753\pi\)
\(440\) 1.66815 1.41796i 0.0795260 0.0675984i
\(441\) −36.6766 + 13.9571i −1.74650 + 0.664621i
\(442\) 12.3045 36.9456i 0.585265 1.75732i
\(443\) 1.83108 6.03625i 0.0869970 0.286791i −0.902637 0.430402i \(-0.858372\pi\)
0.989634 + 0.143612i \(0.0458717\pi\)
\(444\) 0.173858 + 5.85082i 0.00825092 + 0.277668i
\(445\) −0.337277 + 0.276796i −0.0159884 + 0.0131214i
\(446\) −27.5745 + 17.3680i −1.30569 + 0.822397i
\(447\) −10.8536 + 12.8398i −0.513357 + 0.607304i
\(448\) −32.6266 + 14.8551i −1.54146 + 0.701839i
\(449\) −30.6250 −1.44528 −0.722641 0.691224i \(-0.757072\pi\)
−0.722641 + 0.691224i \(0.757072\pi\)
\(450\) 9.94200 + 11.1238i 0.468670 + 0.524381i
\(451\) 0.0129799 + 0.0158160i 0.000611198 + 0.000744747i
\(452\) 23.5346 + 1.27045i 1.10697 + 0.0597571i
\(453\) −32.6788 + 21.1546i −1.53538 + 0.993931i
\(454\) 8.55777 25.6957i 0.401636 1.20596i
\(455\) 12.5936 + 63.3124i 0.590398 + 2.96813i
\(456\) −21.1164 + 8.81460i −0.988867 + 0.412782i
\(457\) 6.21286 + 1.23582i 0.290626 + 0.0578090i 0.338250 0.941056i \(-0.390165\pi\)
−0.0476244 + 0.998865i \(0.515165\pi\)
\(458\) −12.1419 + 3.32847i −0.567352 + 0.155529i
\(459\) 26.2698 + 12.2492i 1.22617 + 0.571744i
\(460\) −41.0675 6.29519i −1.91478 0.293515i
\(461\) 0.805969 + 2.65692i 0.0375377 + 0.123745i 0.973707 0.227805i \(-0.0731548\pi\)
−0.936169 + 0.351550i \(0.885655\pi\)
\(462\) 0.164908 + 2.90678i 0.00767220 + 0.135236i
\(463\) −8.88009 21.4384i −0.412693 0.996329i −0.984412 0.175879i \(-0.943723\pi\)
0.571719 0.820450i \(-0.306277\pi\)
\(464\) 1.62464 + 2.48318i 0.0754221 + 0.115279i
\(465\) −7.89990 + 4.07605i −0.366349 + 0.189022i
\(466\) 8.94751 3.42657i 0.414485 0.158733i
\(467\) −14.3020 + 26.7572i −0.661819 + 1.23818i 0.297194 + 0.954817i \(0.403949\pi\)
−0.959014 + 0.283360i \(0.908551\pi\)
\(468\) 5.33679 29.1325i 0.246693 1.34665i
\(469\) 7.53911 9.18643i 0.348124 0.424190i
\(470\) −2.36643 + 1.83758i −0.109155 + 0.0847612i
\(471\) 3.06085 27.0410i 0.141036 1.24598i
\(472\) 17.4579 12.1065i 0.803566 0.557247i
\(473\) −2.51733 1.68203i −0.115747 0.0773397i
\(474\) −2.21128 14.1662i −0.101567 0.650673i
\(475\) 14.4855 7.74265i 0.664640 0.355257i
\(476\) 29.9754 40.0107i 1.37392 1.83389i
\(477\) −24.3034 + 1.68200i −1.11278 + 0.0770133i
\(478\) 8.57324 12.1107i 0.392131 0.553929i
\(479\) −10.6793 10.6793i −0.487948 0.487948i 0.419710 0.907658i \(-0.362132\pi\)
−0.907658 + 0.419710i \(0.862132\pi\)
\(480\) −28.2927 + 4.13608i −1.29138 + 0.188785i
\(481\) −5.89789 + 5.89789i −0.268920 + 0.268920i
\(482\) −2.03056 11.8730i −0.0924897 0.540802i
\(483\) 39.6315 38.4956i 1.80330 1.75161i
\(484\) −21.1782 5.41400i −0.962647 0.246091i
\(485\) −15.3902 28.7930i −0.698833 1.30742i
\(486\) 21.0866 + 6.43070i 0.956509 + 0.291702i
\(487\) 1.19828 1.79336i 0.0542995 0.0812649i −0.803326 0.595539i \(-0.796939\pi\)
0.857626 + 0.514274i \(0.171939\pi\)
\(488\) −25.9160 + 0.447863i −1.17316 + 0.0202738i
\(489\) 4.03854 35.6784i 0.182629 1.61343i
\(490\) −6.73816 + 53.5637i −0.304399 + 2.41976i
\(491\) −7.00556 5.74931i −0.316156 0.259463i 0.462909 0.886406i \(-0.346806\pi\)
−0.779065 + 0.626943i \(0.784306\pi\)
\(492\) −0.0340785 0.265032i −0.00153638 0.0119486i
\(493\) −3.64960 1.95075i −0.164370 0.0878574i
\(494\) −29.7770 13.2856i −1.33973 0.597748i
\(495\) −0.519057 + 2.26342i −0.0233299 + 0.101733i
\(496\) 0.757292 6.99381i 0.0340034 0.314031i
\(497\) 0.965658 0.399989i 0.0433157 0.0179419i
\(498\) −3.07534 + 3.44527i −0.137809 + 0.154386i
\(499\) −8.75704 + 2.65642i −0.392019 + 0.118918i −0.480139 0.877192i \(-0.659414\pi\)
0.0881205 + 0.996110i \(0.471914\pi\)
\(500\) −8.40928 + 2.06319i −0.376074 + 0.0922686i
\(501\) −10.0636 + 14.5972i −0.449607 + 0.652157i
\(502\) −1.25700 0.716109i −0.0561028 0.0319615i
\(503\) −1.35859 + 6.83009i −0.0605765 + 0.304539i −0.999181 0.0404554i \(-0.987119\pi\)
0.938605 + 0.344994i \(0.112119\pi\)
\(504\) 18.3187 33.3203i 0.815980 1.48421i
\(505\) −11.3419 + 2.25605i −0.504709 + 0.100393i
\(506\) −1.19476 2.38796i −0.0531136 0.106158i
\(507\) 16.5263 10.6983i 0.733957 0.475127i
\(508\) −16.8359 + 35.1549i −0.746970 + 1.55975i
\(509\) 1.03064 0.845820i 0.0456821 0.0374903i −0.611275 0.791418i \(-0.709343\pi\)
0.656957 + 0.753928i \(0.271843\pi\)
\(510\) 31.8469 23.9957i 1.41020 1.06255i
\(511\) 16.5211i 0.730849i
\(512\) 9.61815 20.4815i 0.425066 0.905162i
\(513\) 12.3633 20.8853i 0.545855 0.922111i
\(514\) −7.04680 + 31.0292i −0.310821 + 1.36864i
\(515\) −10.4301 12.7091i −0.459606 0.560031i
\(516\) 16.2098 + 36.0650i 0.713598 + 1.58767i
\(517\) −0.184264 0.0558960i −0.00810394 0.00245830i
\(518\) −9.57660 + 4.79143i −0.420772 + 0.210523i
\(519\) 19.6460 + 10.8711i 0.862365 + 0.477190i
\(520\) −31.9378 25.3000i −1.40057 1.10948i
\(521\) −16.5258 3.28719i −0.724009 0.144014i −0.180689 0.983540i \(-0.557833\pi\)
−0.543320 + 0.839526i \(0.682833\pi\)
\(522\) −2.95600 1.08092i −0.129381 0.0473106i
\(523\) −1.24002 12.5901i −0.0542222 0.550528i −0.983470 0.181071i \(-0.942044\pi\)
0.929248 0.369457i \(-0.120456\pi\)
\(524\) −7.57156 30.8607i −0.330765 1.34815i
\(525\) −10.8103 + 25.0615i −0.471799 + 1.09377i
\(526\) 29.6071 + 0.798550i 1.29093 + 0.0348185i
\(527\) 3.75422 + 9.06349i 0.163536 + 0.394812i
\(528\) −1.26756 1.33051i −0.0551636 0.0579031i
\(529\) −10.5894 + 25.5650i −0.460407 + 1.11152i
\(530\) −13.6555 + 30.6060i −0.593156 + 1.32944i
\(531\) −7.16531 + 21.3641i −0.310948 + 0.927121i
\(532\) −30.8808 28.2624i −1.33885 1.22533i
\(533\) 0.241558 0.294339i 0.0104630 0.0127492i
\(534\) 0.247992 + 0.269481i 0.0107316 + 0.0116616i
\(535\) −33.0994 + 22.1163i −1.43101 + 0.956172i
\(536\) 0.129607 + 7.49982i 0.00559817 + 0.323943i
\(537\) −3.51703 + 1.01128i −0.151771 + 0.0436401i
\(538\) 23.5760 1.68169i 1.01644 0.0725027i
\(539\) −3.05991 + 1.63555i −0.131799 + 0.0704483i
\(540\) 21.4315 21.4586i 0.922267 0.923429i
\(541\) −2.67371 + 27.1467i −0.114952 + 1.16713i 0.748655 + 0.662960i \(0.230700\pi\)
−0.863606 + 0.504167i \(0.831800\pi\)
\(542\) 29.7495 5.08786i 1.27785 0.218542i
\(543\) −2.49510 29.7631i −0.107075 1.27726i
\(544\) 1.94018 + 31.4954i 0.0831847 + 1.35036i
\(545\) −12.7839 + 12.7839i −0.547602 + 0.547602i
\(546\) 52.4575 13.5635i 2.24497 0.580465i
\(547\) 2.78149 28.2410i 0.118928 1.20750i −0.731662 0.681668i \(-0.761255\pi\)
0.850590 0.525829i \(-0.176245\pi\)
\(548\) 13.2199 + 9.90410i 0.564724 + 0.423082i
\(549\) 21.7498 16.8156i 0.928258 0.717673i
\(550\) 0.996721 + 0.863996i 0.0425003 + 0.0368409i
\(551\) −1.92510 + 2.88112i −0.0820120 + 0.122740i
\(552\) −3.32298 + 34.7141i −0.141436 + 1.47753i
\(553\) 21.8093 14.5725i 0.927424 0.619685i
\(554\) 12.2225 + 15.7401i 0.519284 + 0.668733i
\(555\) −8.40022 + 1.54431i −0.356570 + 0.0655522i
\(556\) −9.98795 + 27.4940i −0.423583 + 1.16600i
\(557\) 36.9732 + 19.7626i 1.56660 + 0.837367i 0.999910 + 0.0134383i \(0.00427768\pi\)
0.566694 + 0.823929i \(0.308222\pi\)
\(558\) 3.79133 + 6.42639i 0.160500 + 0.272051i
\(559\) −21.5618 + 52.0547i −0.911965 + 2.20168i
\(560\) −28.6390 43.7732i −1.21022 1.84976i
\(561\) 2.44129 + 0.779488i 0.103071 + 0.0329100i
\(562\) 27.7669 26.3084i 1.17128 1.10975i
\(563\) −6.74808 + 2.04701i −0.284398 + 0.0862710i −0.429261 0.903181i \(-0.641226\pi\)
0.144863 + 0.989452i \(0.453726\pi\)
\(564\) 1.65241 + 1.89572i 0.0695790 + 0.0798244i
\(565\) 3.37086 + 34.2249i 0.141813 + 1.43985i
\(566\) 0.474914 + 1.73243i 0.0199621 + 0.0728193i
\(567\) 5.55579 + 39.9460i 0.233321 + 1.67757i
\(568\) −0.300892 + 0.587111i −0.0126252 + 0.0246346i
\(569\) −13.7935 + 2.74370i −0.578254 + 0.115022i −0.475548 0.879690i \(-0.657750\pi\)
−0.102706 + 0.994712i \(0.532750\pi\)
\(570\) −17.3819 28.5075i −0.728050 1.19405i
\(571\) −29.4861 8.94451i −1.23395 0.374316i −0.395083 0.918645i \(-0.629284\pi\)
−0.838872 + 0.544329i \(0.816784\pi\)
\(572\) 0.141152 2.61478i 0.00590187 0.109329i
\(573\) 0.00950784 0.653939i 0.000397196 0.0273187i
\(574\) 0.413637 0.260532i 0.0172649 0.0108744i
\(575\) 25.0317i 1.04389i
\(576\) 4.81115 + 23.5128i 0.200465 + 0.979701i
\(577\) 27.6149i 1.14962i −0.818286 0.574811i \(-0.805076\pi\)
0.818286 0.574811i \(-0.194924\pi\)
\(578\) −10.6397 16.8922i −0.442552 0.702624i
\(579\) −0.0687267 + 4.72695i −0.00285619 + 0.196445i
\(580\) −3.22231 + 2.89223i −0.133799 + 0.120093i
\(581\) −8.08482 2.45250i −0.335415 0.101747i
\(582\) −23.3971 + 14.2660i −0.969840 + 0.591343i
\(583\) −2.11252 + 0.420206i −0.0874916 + 0.0174032i
\(584\) −6.75361 7.94528i −0.279466 0.328778i
\(585\) 43.1978 + 1.25640i 1.78601 + 0.0519458i
\(586\) −1.58373 + 0.434151i −0.0654232 + 0.0179346i
\(587\) −1.66663 16.9216i −0.0687893 0.698429i −0.966297 0.257430i \(-0.917124\pi\)
0.897508 0.440999i \(-0.145376\pi\)
\(588\) 45.2071 + 3.10010i 1.86431 + 0.127846i
\(589\) 7.86075 2.38453i 0.323897 0.0982530i
\(590\) 21.3210 + 22.5030i 0.877772 + 0.926435i
\(591\) −38.6191 12.3308i −1.58858 0.507223i
\(592\) 2.64689 6.21909i 0.108786 0.255603i
\(593\) 3.50650 8.46543i 0.143995 0.347634i −0.835384 0.549667i \(-0.814755\pi\)
0.979379 + 0.202033i \(0.0647548\pi\)
\(594\) 1.92144 + 0.327366i 0.0788376 + 0.0134320i
\(595\) 64.3348 + 34.3877i 2.63747 + 1.40976i
\(596\) 17.5896 8.21524i 0.720496 0.336509i
\(597\) 22.6502 4.16405i 0.927013 0.170423i
\(598\) −39.2487 + 30.4774i −1.60500 + 1.24631i
\(599\) −16.5639 + 11.0677i −0.676784 + 0.452213i −0.845870 0.533388i \(-0.820918\pi\)
0.169086 + 0.985601i \(0.445918\pi\)
\(600\) −5.04596 16.4716i −0.206001 0.672451i
\(601\) 26.0267 38.9517i 1.06165 1.58887i 0.285442 0.958396i \(-0.407859\pi\)
0.776208 0.630477i \(-0.217141\pi\)
\(602\) −47.3806 + 54.6591i −1.93109 + 2.22774i
\(603\) −4.86627 6.29417i −0.198170 0.256318i
\(604\) 44.4955 6.38023i 1.81050 0.259608i
\(605\) 3.12636 31.7424i 0.127104 1.29051i
\(606\) 2.42980 + 9.39736i 0.0987040 + 0.381742i
\(607\) 13.4330 13.4330i 0.545229 0.545229i −0.379828 0.925057i \(-0.624017\pi\)
0.925057 + 0.379828i \(0.124017\pi\)
\(608\) 26.4045 + 0.968170i 1.07084 + 0.0392645i
\(609\) −0.481017 5.73787i −0.0194918 0.232510i
\(610\) −6.37569 37.2797i −0.258144 1.50941i
\(611\) −0.351244 + 3.56624i −0.0142098 + 0.144275i
\(612\) −21.6227 25.5471i −0.874044 1.03268i
\(613\) −5.22764 + 2.79423i −0.211142 + 0.112858i −0.573578 0.819151i \(-0.694445\pi\)
0.362436 + 0.932009i \(0.381945\pi\)
\(614\) −0.877103 12.2964i −0.0353970 0.496241i
\(615\) 0.374722 0.107747i 0.0151103 0.00434479i
\(616\) 1.23267 3.12772i 0.0496656 0.126019i
\(617\) 24.2929 16.2320i 0.977995 0.653475i 0.0396635 0.999213i \(-0.487371\pi\)
0.938331 + 0.345738i \(0.112371\pi\)
\(618\) −10.1545 + 9.34472i −0.408473 + 0.375900i
\(619\) −25.7265 + 31.3478i −1.03403 + 1.25998i −0.0690657 + 0.997612i \(0.522002\pi\)
−0.964969 + 0.262363i \(0.915498\pi\)
\(620\) 10.2546 0.454009i 0.411836 0.0182334i
\(621\) −19.1891 31.6213i −0.770030 1.26892i
\(622\) −8.11321 3.61987i −0.325310 0.145143i
\(623\) −0.256390 + 0.618980i −0.0102720 + 0.0247989i
\(624\) −19.6832 + 27.9669i −0.787957 + 1.11957i
\(625\) −11.5635 27.9166i −0.462538 1.11667i
\(626\) 1.04237 38.6471i 0.0416616 1.54465i
\(627\) 0.849914 1.97035i 0.0339423 0.0786884i
\(628\) −16.2853 + 26.8744i −0.649855 + 1.07241i
\(629\) 0.923878 + 9.38030i 0.0368374 + 0.374017i
\(630\) 52.1081 + 19.0544i 2.07604 + 0.759144i
\(631\) 11.6952 + 2.32632i 0.465579 + 0.0926095i 0.422305 0.906454i \(-0.361221\pi\)
0.0432742 + 0.999063i \(0.486221\pi\)
\(632\) −4.53142 + 15.9235i −0.180250 + 0.633404i
\(633\) 10.2068 + 5.64795i 0.405684 + 0.224486i
\(634\) −22.1448 44.2607i −0.879482 1.75782i
\(635\) −54.4263 16.5100i −2.15984 0.655181i
\(636\) 26.2973 + 9.98831i 1.04275 + 0.396062i
\(637\) 40.9626 + 49.9130i 1.62300 + 1.97763i
\(638\) −0.271368 0.0616283i −0.0107436 0.00243989i
\(639\) −0.116503 0.689976i −0.00460879 0.0272950i
\(640\) 31.6670 + 9.34406i 1.25175 + 0.369356i
\(641\) 31.9153i 1.26058i −0.776361 0.630289i \(-0.782937\pi\)
0.776361 0.630289i \(-0.217063\pi\)
\(642\) 20.1072 + 26.6861i 0.793569 + 1.05322i
\(643\) 19.9128 16.3420i 0.785286 0.644468i −0.153819 0.988099i \(-0.549157\pi\)
0.939105 + 0.343632i \(0.111657\pi\)
\(644\) −60.1713 + 21.2015i −2.37108 + 0.835456i
\(645\) −48.4329 + 31.3531i −1.90704 + 1.23453i
\(646\) −32.9528 + 16.4872i −1.29651 + 0.648679i
\(647\) −0.750909 + 0.149365i −0.0295213 + 0.00587214i −0.209829 0.977738i \(-0.567291\pi\)
0.180308 + 0.983610i \(0.442291\pi\)
\(648\) −19.0013 16.9396i −0.746442 0.665450i
\(649\) −0.388677 + 1.95401i −0.0152569 + 0.0767017i
\(650\) 12.1514 21.3296i 0.476617 0.836616i
\(651\) −7.74779 + 11.2382i −0.303660 + 0.440460i
\(652\) −21.4872 + 35.4586i −0.841503 + 1.38867i
\(653\) 22.9393 6.95857i 0.897685 0.272310i 0.192470 0.981303i \(-0.438350\pi\)
0.705215 + 0.708993i \(0.250850\pi\)
\(654\) 11.3208 + 10.1052i 0.442677 + 0.395146i
\(655\) 42.8365 17.7435i 1.67376 0.693294i
\(656\) −0.0924234 + 0.294384i −0.00360853 + 0.0114938i
\(657\) 10.7805 + 2.47223i 0.420587 + 0.0964508i
\(658\) −1.87455 + 4.20143i −0.0730776 + 0.163789i
\(659\) −14.3351 7.66228i −0.558417 0.298480i 0.167941 0.985797i \(-0.446288\pi\)
−0.726357 + 0.687317i \(0.758788\pi\)
\(660\) 1.63876 2.12237i 0.0637885 0.0826133i
\(661\) −3.82138 3.13613i −0.148635 0.121981i 0.557137 0.830420i \(-0.311900\pi\)
−0.705772 + 0.708439i \(0.749400\pi\)
\(662\) −0.566166 0.0712221i −0.0220047 0.00276812i
\(663\) 5.36419 47.3898i 0.208328 1.84047i
\(664\) 4.89070 2.12553i 0.189796 0.0824864i
\(665\) 33.9355 50.7880i 1.31596 1.96948i
\(666\) 1.69350 + 6.96602i 0.0656219 + 0.269928i
\(667\) 2.48936 + 4.65727i 0.0963884 + 0.180330i
\(668\) 17.6110 10.4400i 0.681389 0.403936i
\(669\) −28.6296 + 27.8091i −1.10689 + 1.07516i
\(670\) −10.7884 + 1.84506i −0.416791 + 0.0712810i
\(671\) 1.71876 1.71876i 0.0663521 0.0663521i
\(672\) −35.3207 + 26.0808i −1.36253 + 1.00609i
\(673\) 0.0342713 + 0.0342713i 0.00132106 + 0.00132106i 0.707767 0.706446i \(-0.249703\pi\)
−0.706446 + 0.707767i \(0.749703\pi\)
\(674\) −4.35616 3.08376i −0.167793 0.118782i
\(675\) 14.7357 + 10.8043i 0.567178 + 0.415856i
\(676\) −22.5022 + 3.22660i −0.865470 + 0.124100i
\(677\) 37.7555 20.1807i 1.45106 0.775608i 0.457532 0.889193i \(-0.348733\pi\)
0.993528 + 0.113585i \(0.0362335\pi\)
\(678\) 28.5204 4.45192i 1.09532 0.170975i
\(679\) −41.6835 27.8520i −1.59967 1.06886i
\(680\) −44.9971 + 9.76163i −1.72556 + 0.374342i
\(681\) 3.73079 32.9596i 0.142964 1.26301i
\(682\) 0.404605 + 0.521050i 0.0154931 + 0.0199520i
\(683\) 15.4124 18.7800i 0.589737 0.718597i −0.389565 0.920999i \(-0.627375\pi\)
0.979303 + 0.202402i \(0.0648747\pi\)
\(684\) −23.0631 + 15.9215i −0.881839 + 0.608773i
\(685\) −11.3620 + 21.2567i −0.434118 + 0.812178i
\(686\) 13.7818 + 35.9874i 0.526193 + 1.37400i
\(687\) −13.7029 + 7.07015i −0.522796 + 0.269743i
\(688\) 0.442204 45.6552i 0.0168589 1.74059i
\(689\) 15.3397 + 37.0333i 0.584396 + 1.41086i
\(690\) −50.8030 + 2.88216i −1.93404 + 0.109722i
\(691\) −6.71983 22.1523i −0.255634 0.842714i −0.986999 0.160727i \(-0.948616\pi\)
0.731364 0.681987i \(-0.238884\pi\)
\(692\) −15.3435 20.8991i −0.583273 0.794465i
\(693\) 0.935453 + 3.44090i 0.0355349 + 0.130709i
\(694\) −4.62004 16.8533i −0.175374 0.639743i
\(695\) −41.8629 8.32704i −1.58795 0.315863i
\(696\) 2.57690 + 2.56281i 0.0976773 + 0.0971432i
\(697\) −0.0839458 0.422024i −0.00317968 0.0159853i
\(698\) −20.2302 6.73754i −0.765725 0.255020i
\(699\) 9.85064 6.37682i 0.372586 0.241193i
\(700\) 23.4540 21.0514i 0.886476 0.795670i
\(701\) 26.1752 + 31.8946i 0.988625 + 1.20464i 0.978827 + 0.204691i \(0.0656190\pi\)
0.00979836 + 0.999952i \(0.496881\pi\)
\(702\) −1.00083 36.2598i −0.0377741 1.36854i
\(703\) 7.89245 0.297669
\(704\) 0.685760 + 2.00808i 0.0258456 + 0.0756822i
\(705\) −2.36888 + 2.80240i −0.0892172 + 0.105544i
\(706\) 11.2832 + 17.9140i 0.424649 + 0.674201i
\(707\) −13.7265 + 11.2650i −0.516237 + 0.423665i
\(708\) 17.8440 18.9370i 0.670620 0.711696i
\(709\) 9.37621 30.9092i 0.352131 1.16082i −0.584763 0.811204i \(-0.698812\pi\)
0.936893 0.349615i \(-0.113688\pi\)
\(710\) −0.913317 0.304174i −0.0342762 0.0114154i
\(711\) −6.24544 16.4119i −0.234222 0.615493i
\(712\) −0.129729 0.402488i −0.00486180 0.0150839i
\(713\) 2.44232 12.2783i 0.0914654 0.459828i
\(714\) 25.7585 55.5479i 0.963988 2.07883i
\(715\) 3.80252 0.374515i 0.142206 0.0140061i
\(716\) 4.17688 + 0.640269i 0.156097 + 0.0239280i
\(717\) 7.19781 16.6867i 0.268807 0.623175i
\(718\) −5.97873 6.31018i −0.223124 0.235494i
\(719\) −29.1528 + 12.0755i −1.08722 + 0.450339i −0.853035 0.521854i \(-0.825241\pi\)
−0.234181 + 0.972193i \(0.575241\pi\)
\(720\) −32.8489 + 12.1376i −1.22421 + 0.452341i
\(721\) −23.3242 9.66119i −0.868637 0.359801i
\(722\) 1.42459 + 3.71992i 0.0530179 + 0.138441i
\(723\) −5.44682 13.7102i −0.202569 0.509889i
\(724\) −11.7758 + 32.4154i −0.437644 + 1.20471i
\(725\) −2.01658 1.65496i −0.0748937 0.0614637i
\(726\) −26.7490 1.11081i −0.992749 0.0412261i
\(727\) 22.4233 + 33.5588i 0.831634 + 1.24463i 0.967240 + 0.253865i \(0.0817019\pi\)
−0.135606 + 0.990763i \(0.543298\pi\)
\(728\) −61.5643 11.1437i −2.28172 0.413012i
\(729\) 26.8973 + 2.35222i 0.996198 + 0.0871193i
\(730\) 9.96636 11.4974i 0.368872 0.425537i
\(731\) 30.0146 + 56.1534i 1.11013 + 2.07691i
\(732\) −30.9375 + 7.11522i −1.14348 + 0.262986i
\(733\) 11.1808 + 1.10122i 0.412974 + 0.0406744i 0.302371 0.953190i \(-0.402222\pi\)
0.110603 + 0.993865i \(0.464722\pi\)
\(734\) −3.50314 2.47990i −0.129303 0.0915349i
\(735\) 5.52351 + 65.8878i 0.203738 + 2.43031i
\(736\) 20.2706 34.7935i 0.747183 1.28250i
\(737\) −0.497393 0.497393i −0.0183217 0.0183217i
\(738\) −0.108108 0.308897i −0.00397951 0.0113707i
\(739\) 30.4057 + 2.99470i 1.11849 + 0.110162i 0.640323 0.768106i \(-0.278801\pi\)
0.478169 + 0.878268i \(0.341301\pi\)
\(740\) 9.55502 + 2.44264i 0.351249 + 0.0897933i
\(741\) −39.0498 8.35942i −1.43453 0.307091i
\(742\) 3.66152 + 51.3318i 0.134419 + 1.88445i
\(743\) 21.2822 + 14.2203i 0.780767 + 0.521692i 0.880911 0.473281i \(-0.156931\pi\)
−0.100145 + 0.994973i \(0.531931\pi\)
\(744\) −0.867987 8.57186i −0.0318220 0.314260i
\(745\) 15.7377 + 23.5532i 0.576586 + 0.862922i
\(746\) −21.3508 2.68587i −0.781708 0.0983367i
\(747\) −2.81016 + 4.90860i −0.102818 + 0.179596i
\(748\) −2.18294 1.99785i −0.0798164 0.0730485i
\(749\) −28.8151 + 53.9093i −1.05288 + 1.96980i
\(750\) −9.55185 + 4.60666i −0.348784 + 0.168211i
\(751\) 21.7769 + 9.02030i 0.794652 + 0.329156i 0.742812 0.669500i \(-0.233492\pi\)
0.0518396 + 0.998655i \(0.483492\pi\)
\(752\) −0.815988 2.78684i −0.0297560 0.101625i
\(753\) −1.68786 0.538923i −0.0615089 0.0196395i
\(754\) −0.139630 + 5.17692i −0.00508501 + 0.188532i
\(755\) 19.0397 + 62.7655i 0.692926 + 2.28427i
\(756\) 13.4904 44.5728i 0.490640 1.62110i
\(757\) 20.0307 1.97286i 0.728029 0.0717046i 0.272790 0.962074i \(-0.412054\pi\)
0.455240 + 0.890369i \(0.349554\pi\)
\(758\) 1.46781 2.57649i 0.0533134 0.0935822i
\(759\) −2.03767 2.55786i −0.0739629 0.0928443i
\(760\) 4.44135 + 38.2973i 0.161105 + 1.38919i
\(761\) 2.70834 + 13.6157i 0.0981773 + 0.493570i 0.998318 + 0.0579717i \(0.0184633\pi\)
−0.900141 + 0.435599i \(0.856537\pi\)
\(762\) −11.2480 + 46.3946i −0.407472 + 1.68070i
\(763\) −8.05866 + 26.5658i −0.291743 + 0.961748i
\(764\) −0.326185 + 0.681106i −0.0118010 + 0.0246416i
\(765\) 32.0661 36.8346i 1.15935 1.33176i
\(766\) −1.89121 0.429499i −0.0683323 0.0155184i
\(767\) 37.0769 1.33877
\(768\) 6.32488 26.9814i 0.228229 0.973607i
\(769\) −4.26166 −0.153679 −0.0768397 0.997043i \(-0.524483\pi\)
−0.0768397 + 0.997043i \(0.524483\pi\)
\(770\) 4.78365 + 1.08638i 0.172391 + 0.0391503i
\(771\) −0.566546 + 38.9664i −0.0204036 + 1.40334i
\(772\) 2.35780 4.92332i 0.0848591 0.177194i
\(773\) −3.91517 + 12.9066i −0.140819 +