Properties

Label 384.2.v.a.229.15
Level $384$
Weight $2$
Character 384.229
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 229.15
Character \(\chi\) \(=\) 384.229
Dual form 384.2.v.a.109.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.127742 + 1.40843i) q^{2} +(0.881921 - 0.471397i) q^{3} +(-1.96736 - 0.359831i) q^{4} +(-1.40713 - 1.71460i) q^{5} +(0.551272 + 1.30234i) q^{6} +(0.0127962 - 0.00855015i) q^{7} +(0.758112 - 2.72493i) q^{8} +(0.555570 - 0.831470i) q^{9} +O(q^{10})\) \(q+(-0.127742 + 1.40843i) q^{2} +(0.881921 - 0.471397i) q^{3} +(-1.96736 - 0.359831i) q^{4} +(-1.40713 - 1.71460i) q^{5} +(0.551272 + 1.30234i) q^{6} +(0.0127962 - 0.00855015i) q^{7} +(0.758112 - 2.72493i) q^{8} +(0.555570 - 0.831470i) q^{9} +(2.59464 - 1.76283i) q^{10} +(3.40372 - 1.03251i) q^{11} +(-1.90468 + 0.610066i) q^{12} +(-2.41676 - 1.98339i) q^{13} +(0.0104077 + 0.0191148i) q^{14} +(-2.04924 - 0.848822i) q^{15} +(3.74104 + 1.41584i) q^{16} +(4.96730 - 2.05752i) q^{17} +(1.10010 + 0.888697i) q^{18} +(-0.321304 - 3.26226i) q^{19} +(2.15138 + 3.87957i) q^{20} +(0.00725473 - 0.0135727i) q^{21} +(1.01942 + 4.92581i) q^{22} +(4.07213 - 0.809998i) q^{23} +(-0.615929 - 2.76055i) q^{24} +(0.0156326 - 0.0785902i) q^{25} +(3.10219 - 3.15049i) q^{26} +(0.0980171 - 0.995185i) q^{27} +(-0.0282514 + 0.0122168i) q^{28} +(-0.827213 + 2.72696i) q^{29} +(1.45728 - 2.77778i) q^{30} +(-3.88443 - 3.88443i) q^{31} +(-2.47200 + 5.08814i) q^{32} +(2.51509 - 2.51509i) q^{33} +(2.26335 + 7.25893i) q^{34} +(-0.0326660 - 0.00990914i) q^{35} +(-1.39220 + 1.43589i) q^{36} +(-2.61418 - 0.257475i) q^{37} +(4.63571 - 0.0358090i) q^{38} +(-3.06636 - 0.609936i) q^{39} +(-5.73893 + 2.53449i) q^{40} +(1.20863 + 6.07619i) q^{41} +(0.0181894 + 0.0119516i) q^{42} +(-9.65881 - 5.16274i) q^{43} +(-7.06789 + 0.806554i) q^{44} +(-2.20740 + 0.217410i) q^{45} +(0.620646 + 5.83880i) q^{46} +(2.67337 + 6.45408i) q^{47} +(3.96673 - 0.514858i) q^{48} +(-2.67869 + 6.46694i) q^{49} +(0.108692 + 0.0320567i) q^{50} +(3.41086 - 4.15614i) q^{51} +(4.04097 + 4.77167i) q^{52} +(-0.861628 - 2.84041i) q^{53} +(1.38913 + 0.265177i) q^{54} +(-6.55983 - 4.38314i) q^{55} +(-0.0135976 - 0.0413508i) q^{56} +(-1.82118 - 2.72559i) q^{57} +(-3.73506 - 1.51342i) q^{58} +(5.35526 - 4.39495i) q^{59} +(3.72616 + 2.40732i) q^{60} +(5.71656 + 10.6949i) q^{61} +(5.96715 - 4.97475i) q^{62} -0.0153899i q^{63} +(-6.85053 - 4.13161i) q^{64} +6.93467i q^{65} +(3.22106 + 3.86362i) q^{66} +(2.05001 + 3.83531i) q^{67} +(-10.5128 + 2.26051i) q^{68} +(3.20947 - 2.63395i) q^{69} +(0.0181292 - 0.0447421i) q^{70} +(-1.74600 - 2.61308i) q^{71} +(-1.84452 - 2.14424i) q^{72} +(6.90550 + 4.61411i) q^{73} +(0.696576 - 3.64901i) q^{74} +(-0.0232605 - 0.0766795i) q^{75} +(-0.541739 + 6.53366i) q^{76} +(0.0347266 - 0.0423145i) q^{77} +(1.25076 - 4.24084i) q^{78} +(0.304162 - 0.734312i) q^{79} +(-2.83656 - 8.40666i) q^{80} +(-0.382683 - 0.923880i) q^{81} +(-8.71230 + 0.926090i) q^{82} +(-5.51850 + 0.543524i) q^{83} +(-0.0191566 + 0.0240919i) q^{84} +(-10.5175 - 5.62171i) q^{85} +(8.50520 - 12.9443i) q^{86} +(0.555941 + 2.79491i) q^{87} +(-0.233112 - 10.0577i) q^{88} +(-6.60896 - 1.31460i) q^{89} +(-0.0242301 - 3.13674i) q^{90} +(-0.0478837 - 0.00471613i) q^{91} +(-8.30283 + 0.128280i) q^{92} +(-5.25686 - 1.59465i) q^{93} +(-9.43163 + 2.94080i) q^{94} +(-5.14134 + 5.14134i) q^{95} +(0.218426 + 5.65264i) q^{96} +(10.0236 + 10.0236i) q^{97} +(-8.76606 - 4.59886i) q^{98} +(1.03251 - 3.40372i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q + O(q^{10}) \) \( 512 q - 96 q^{50} - 96 q^{52} - 32 q^{54} - 224 q^{56} - 192 q^{60} - 192 q^{62} - 192 q^{64} - 192 q^{66} - 192 q^{68} - 192 q^{70} - 224 q^{74} - 32 q^{76} - 96 q^{78} - 96 q^{80} + O(q^{100}) \)

Character values

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

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{9}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.127742 + 1.40843i −0.0903270 + 0.995912i
\(3\) 0.881921 0.471397i 0.509177 0.272161i
\(4\) −1.96736 0.359831i −0.983682 0.179916i
\(5\) −1.40713 1.71460i −0.629289 0.766791i 0.356588 0.934262i \(-0.383940\pi\)
−0.985877 + 0.167471i \(0.946440\pi\)
\(6\) 0.551272 + 1.30234i 0.225056 + 0.531680i
\(7\) 0.0127962 0.00855015i 0.00483651 0.00323165i −0.553150 0.833082i \(-0.686574\pi\)
0.557986 + 0.829850i \(0.311574\pi\)
\(8\) 0.758112 2.72493i 0.268033 0.963410i
\(9\) 0.555570 0.831470i 0.185190 0.277157i
\(10\) 2.59464 1.76283i 0.820499 0.557455i
\(11\) 3.40372 1.03251i 1.02626 0.311313i 0.268108 0.963389i \(-0.413602\pi\)
0.758154 + 0.652076i \(0.226102\pi\)
\(12\) −1.90468 + 0.610066i −0.549835 + 0.176111i
\(13\) −2.41676 1.98339i −0.670290 0.550092i 0.236523 0.971626i \(-0.423992\pi\)
−0.906813 + 0.421533i \(0.861492\pi\)
\(14\) 0.0104077 + 0.0191148i 0.00278158 + 0.00510865i
\(15\) −2.04924 0.848822i −0.529111 0.219165i
\(16\) 3.74104 + 1.41584i 0.935261 + 0.353960i
\(17\) 4.96730 2.05752i 1.20475 0.499022i 0.312217 0.950011i \(-0.398928\pi\)
0.892530 + 0.450989i \(0.148928\pi\)
\(18\) 1.10010 + 0.888697i 0.259296 + 0.209468i
\(19\) −0.321304 3.26226i −0.0737122 0.748413i −0.959007 0.283383i \(-0.908543\pi\)
0.885295 0.465030i \(-0.153957\pi\)
\(20\) 2.15138 + 3.87957i 0.481063 + 0.867498i
\(21\) 0.00725473 0.0135727i 0.00158311 0.00296180i
\(22\) 1.01942 + 4.92581i 0.217341 + 1.05019i
\(23\) 4.07213 0.809998i 0.849099 0.168896i 0.248684 0.968585i \(-0.420002\pi\)
0.600415 + 0.799689i \(0.295002\pi\)
\(24\) −0.615929 2.76055i −0.125726 0.563495i
\(25\) 0.0156326 0.0785902i 0.00312651 0.0157180i
\(26\) 3.10219 3.15049i 0.608389 0.617861i
\(27\) 0.0980171 0.995185i 0.0188634 0.191523i
\(28\) −0.0282514 + 0.0122168i −0.00533901 + 0.00230876i
\(29\) −0.827213 + 2.72696i −0.153610 + 0.506383i −0.999642 0.0267482i \(-0.991485\pi\)
0.846033 + 0.533131i \(0.178985\pi\)
\(30\) 1.45728 2.77778i 0.266062 0.507151i
\(31\) −3.88443 3.88443i −0.697663 0.697663i 0.266243 0.963906i \(-0.414218\pi\)
−0.963906 + 0.266243i \(0.914218\pi\)
\(32\) −2.47200 + 5.08814i −0.436992 + 0.899465i
\(33\) 2.51509 2.51509i 0.437822 0.437822i
\(34\) 2.26335 + 7.25893i 0.388161 + 1.24490i
\(35\) −0.0326660 0.00990914i −0.00552157 0.00167495i
\(36\) −1.39220 + 1.43589i −0.232033 + 0.239315i
\(37\) −2.61418 0.257475i −0.429769 0.0423286i −0.119180 0.992873i \(-0.538026\pi\)
−0.310589 + 0.950544i \(0.600526\pi\)
\(38\) 4.63571 0.0358090i 0.752012 0.00580899i
\(39\) −3.06636 0.609936i −0.491010 0.0976680i
\(40\) −5.73893 + 2.53449i −0.907405 + 0.400738i
\(41\) 1.20863 + 6.07619i 0.188756 + 0.948942i 0.952759 + 0.303728i \(0.0982315\pi\)
−0.764002 + 0.645213i \(0.776769\pi\)
\(42\) 0.0181894 + 0.0119516i 0.00280669 + 0.00184417i
\(43\) −9.65881 5.16274i −1.47295 0.787311i −0.477150 0.878822i \(-0.658330\pi\)
−0.995804 + 0.0915111i \(0.970830\pi\)
\(44\) −7.06789 + 0.806554i −1.06552 + 0.121593i
\(45\) −2.20740 + 0.217410i −0.329059 + 0.0324095i
\(46\) 0.620646 + 5.83880i 0.0915092 + 0.860884i
\(47\) 2.67337 + 6.45408i 0.389950 + 0.941424i 0.989949 + 0.141423i \(0.0451677\pi\)
−0.599999 + 0.800001i \(0.704832\pi\)
\(48\) 3.96673 0.514858i 0.572548 0.0743133i
\(49\) −2.67869 + 6.46694i −0.382670 + 0.923848i
\(50\) 0.108692 + 0.0320567i 0.0153714 + 0.00453350i
\(51\) 3.41086 4.15614i 0.477615 0.581976i
\(52\) 4.04097 + 4.77167i 0.560382 + 0.661712i
\(53\) −0.861628 2.84041i −0.118354 0.390160i 0.877668 0.479269i \(-0.159098\pi\)
−0.996022 + 0.0891089i \(0.971598\pi\)
\(54\) 1.38913 + 0.265177i 0.189037 + 0.0360860i
\(55\) −6.55983 4.38314i −0.884527 0.591022i
\(56\) −0.0135976 0.0413508i −0.00181706 0.00552573i
\(57\) −1.82118 2.72559i −0.241221 0.361013i
\(58\) −3.73506 1.51342i −0.490438 0.198722i
\(59\) 5.35526 4.39495i 0.697196 0.572174i −0.217626 0.976032i \(-0.569831\pi\)
0.914821 + 0.403858i \(0.132331\pi\)
\(60\) 3.72616 + 2.40732i 0.481046 + 0.310784i
\(61\) 5.71656 + 10.6949i 0.731930 + 1.36934i 0.921851 + 0.387545i \(0.126677\pi\)
−0.189921 + 0.981799i \(0.560823\pi\)
\(62\) 5.96715 4.97475i 0.757829 0.631794i
\(63\) 0.0153899i 0.00193894i
\(64\) −6.85053 4.13161i −0.856316 0.516452i
\(65\) 6.93467i 0.860140i
\(66\) 3.22106 + 3.86362i 0.396485 + 0.475579i
\(67\) 2.05001 + 3.83531i 0.250449 + 0.468557i 0.975459 0.220181i \(-0.0706648\pi\)
−0.725010 + 0.688738i \(0.758165\pi\)
\(68\) −10.5128 + 2.26051i −1.27487 + 0.274127i
\(69\) 3.20947 2.63395i 0.386375 0.317090i
\(70\) 0.0181292 0.0447421i 0.00216685 0.00534770i
\(71\) −1.74600 2.61308i −0.207212 0.310115i 0.713277 0.700882i \(-0.247210\pi\)
−0.920490 + 0.390766i \(0.872210\pi\)
\(72\) −1.84452 2.14424i −0.217378 0.252701i
\(73\) 6.90550 + 4.61411i 0.808228 + 0.540040i 0.889652 0.456639i \(-0.150947\pi\)
−0.0814244 + 0.996680i \(0.525947\pi\)
\(74\) 0.696576 3.64901i 0.0809753 0.424189i
\(75\) −0.0232605 0.0766795i −0.00268589 0.00885419i
\(76\) −0.541739 + 6.53366i −0.0621418 + 0.749462i
\(77\) 0.0347266 0.0423145i 0.00395747 0.00482219i
\(78\) 1.25076 4.24084i 0.141620 0.480181i
\(79\) 0.304162 0.734312i 0.0342209 0.0826166i −0.905845 0.423609i \(-0.860763\pi\)
0.940066 + 0.340992i \(0.110763\pi\)
\(80\) −2.83656 8.40666i −0.317137 0.939893i
\(81\) −0.382683 0.923880i −0.0425204 0.102653i
\(82\) −8.71230 + 0.926090i −0.962112 + 0.102270i
\(83\) −5.51850 + 0.543524i −0.605734 + 0.0596595i −0.396235 0.918149i \(-0.629683\pi\)
−0.209499 + 0.977809i \(0.567183\pi\)
\(84\) −0.0191566 + 0.0240919i −0.00209015 + 0.00262864i
\(85\) −10.5175 5.62171i −1.14078 0.609760i
\(86\) 8.50520 12.9443i 0.917140 1.39582i
\(87\) 0.555941 + 2.79491i 0.0596032 + 0.299645i
\(88\) −0.233112 10.0577i −0.0248498 1.07215i
\(89\) −6.60896 1.31460i −0.700548 0.139348i −0.168050 0.985779i \(-0.553747\pi\)
−0.532499 + 0.846431i \(0.678747\pi\)
\(90\) −0.0242301 3.13674i −0.00255407 0.330642i
\(91\) −0.0478837 0.00471613i −0.00501957 0.000494385i
\(92\) −8.30283 + 0.128280i −0.865630 + 0.0133741i
\(93\) −5.25686 1.59465i −0.545111 0.165358i
\(94\) −9.43163 + 2.94080i −0.972798 + 0.303320i
\(95\) −5.14134 + 5.14134i −0.527490 + 0.527490i
\(96\) 0.218426 + 5.65264i 0.0222930 + 0.576920i
\(97\) 10.0236 + 10.0236i 1.01775 + 1.01775i 0.999840 + 0.0179066i \(0.00570016\pi\)
0.0179066 + 0.999840i \(0.494300\pi\)
\(98\) −8.76606 4.59886i −0.885506 0.464555i
\(99\) 1.03251 3.40372i 0.103771 0.342087i
\(100\) −0.0590341 + 0.148990i −0.00590341 + 0.0148990i
\(101\) 0.627601 6.37214i 0.0624486 0.634052i −0.912114 0.409937i \(-0.865551\pi\)
0.974563 0.224115i \(-0.0719492\pi\)
\(102\) 5.41793 + 5.33487i 0.536455 + 0.528231i
\(103\) 2.14174 10.7672i 0.211032 1.06093i −0.719437 0.694557i \(-0.755600\pi\)
0.930469 0.366371i \(-0.119400\pi\)
\(104\) −7.23678 + 5.08189i −0.709624 + 0.498320i
\(105\) −0.0334800 + 0.00665959i −0.00326731 + 0.000649909i
\(106\) 4.11059 0.850706i 0.399255 0.0826279i
\(107\) 7.00413 13.1038i 0.677115 1.26679i −0.275115 0.961411i \(-0.588716\pi\)
0.952230 0.305381i \(-0.0987839\pi\)
\(108\) −0.550934 + 1.92262i −0.0530136 + 0.185004i
\(109\) 0.611739 + 6.21109i 0.0585939 + 0.594914i 0.978987 + 0.203921i \(0.0653685\pi\)
−0.920393 + 0.390993i \(0.872132\pi\)
\(110\) 7.01132 8.67917i 0.668503 0.827526i
\(111\) −2.42688 + 1.00525i −0.230349 + 0.0954136i
\(112\) 0.0599768 0.0138691i 0.00566727 0.00131051i
\(113\) 10.6380 + 4.40641i 1.00074 + 0.414520i 0.822069 0.569388i \(-0.192820\pi\)
0.178672 + 0.983909i \(0.442820\pi\)
\(114\) 4.07145 2.21684i 0.381326 0.207626i
\(115\) −7.11886 5.84230i −0.663837 0.544797i
\(116\) 2.60867 5.06726i 0.242209 0.470483i
\(117\) −2.99181 + 0.907555i −0.276593 + 0.0839035i
\(118\) 5.50590 + 8.10395i 0.506859 + 0.746029i
\(119\) 0.0459704 0.0687996i 0.00421410 0.00630685i
\(120\) −3.86654 + 4.94053i −0.352965 + 0.451007i
\(121\) 1.37309 0.917471i 0.124827 0.0834065i
\(122\) −15.7933 + 6.68519i −1.42986 + 0.605249i
\(123\) 3.93021 + 4.78898i 0.354375 + 0.431808i
\(124\) 6.24434 + 9.03982i 0.560758 + 0.811800i
\(125\) −9.93760 + 5.31176i −0.888846 + 0.475098i
\(126\) 0.0216756 + 0.00196593i 0.00193101 + 0.000175139i
\(127\) −8.91223 −0.790832 −0.395416 0.918502i \(-0.629400\pi\)
−0.395416 + 0.918502i \(0.629400\pi\)
\(128\) 6.69420 9.12073i 0.591689 0.806166i
\(129\) −10.9520 −0.964271
\(130\) −9.76701 0.885846i −0.856624 0.0776939i
\(131\) 5.20271 2.78091i 0.454563 0.242969i −0.228192 0.973616i \(-0.573281\pi\)
0.682755 + 0.730647i \(0.260781\pi\)
\(132\) −5.85312 + 4.04310i −0.509448 + 0.351906i
\(133\) −0.0320043 0.0389973i −0.00277512 0.00338150i
\(134\) −5.66364 + 2.39738i −0.489264 + 0.207102i
\(135\) −1.84426 + 1.23230i −0.158729 + 0.106059i
\(136\) −1.84084 15.0954i −0.157851 1.29442i
\(137\) −11.8039 + 17.6657i −1.00847 + 1.50929i −0.155158 + 0.987890i \(0.549589\pi\)
−0.853314 + 0.521397i \(0.825411\pi\)
\(138\) 3.29975 + 4.85679i 0.280893 + 0.413437i
\(139\) 15.8982 4.82265i 1.34846 0.409052i 0.468236 0.883603i \(-0.344890\pi\)
0.880228 + 0.474552i \(0.157390\pi\)
\(140\) 0.0607004 + 0.0312491i 0.00513012 + 0.00264103i
\(141\) 5.40013 + 4.43177i 0.454773 + 0.373222i
\(142\) 3.90338 2.12533i 0.327565 0.178354i
\(143\) −10.2739 4.25557i −0.859143 0.355869i
\(144\) 3.25564 2.32397i 0.271303 0.193664i
\(145\) 5.83963 2.41885i 0.484955 0.200875i
\(146\) −7.38078 + 9.13652i −0.610838 + 0.756144i
\(147\) 0.686097 + 6.96606i 0.0565883 + 0.574551i
\(148\) 5.05040 + 1.44721i 0.415141 + 0.118960i
\(149\) −1.15016 + 2.15181i −0.0942252 + 0.176283i −0.924618 0.380895i \(-0.875616\pi\)
0.830393 + 0.557178i \(0.188116\pi\)
\(150\) 0.110969 0.0229656i 0.00906060 0.00187514i
\(151\) −8.81999 + 1.75441i −0.717761 + 0.142772i −0.540441 0.841382i \(-0.681743\pi\)
−0.177320 + 0.984153i \(0.556743\pi\)
\(152\) −9.13302 1.59762i −0.740786 0.129584i
\(153\) 1.04892 5.27325i 0.0847998 0.426317i
\(154\) 0.0551611 + 0.0543155i 0.00444501 + 0.00437686i
\(155\) −1.19432 + 12.1261i −0.0959301 + 0.973994i
\(156\) 5.81317 + 2.30334i 0.465426 + 0.184415i
\(157\) −3.48169 + 11.4776i −0.277869 + 0.916011i 0.701283 + 0.712883i \(0.252611\pi\)
−0.979152 + 0.203128i \(0.934889\pi\)
\(158\) 0.995375 + 0.522194i 0.0791878 + 0.0415435i
\(159\) −2.09885 2.09885i −0.166449 0.166449i
\(160\) 12.2026 2.92122i 0.964697 0.230942i
\(161\) 0.0451823 0.0451823i 0.00356086 0.00356086i
\(162\) 1.35011 0.420966i 0.106074 0.0330742i
\(163\) 13.8771 + 4.20957i 1.08694 + 0.329719i 0.782397 0.622780i \(-0.213997\pi\)
0.304541 + 0.952499i \(0.401497\pi\)
\(164\) −0.191411 12.3890i −0.0149467 0.967417i
\(165\) −7.85145 0.773300i −0.611235 0.0602014i
\(166\) −0.0605752 7.84186i −0.00470155 0.608646i
\(167\) 23.2278 + 4.62029i 1.79742 + 0.357529i 0.976834 0.213998i \(-0.0686487\pi\)
0.820583 + 0.571527i \(0.193649\pi\)
\(168\) −0.0314847 0.0300583i −0.00242910 0.00231905i
\(169\) −0.629250 3.16346i −0.0484039 0.243343i
\(170\) 9.26131 14.0950i 0.710310 1.08104i
\(171\) −2.89097 1.54526i −0.221078 0.118169i
\(172\) 17.1447 + 13.6325i 1.30727 + 1.03947i
\(173\) 25.2292 2.48485i 1.91814 0.188920i 0.932902 0.360130i \(-0.117268\pi\)
0.985235 + 0.171210i \(0.0547676\pi\)
\(174\) −4.00745 + 0.425980i −0.303804 + 0.0322934i
\(175\) −0.000471921 0.00113932i −3.56738e−5 8.61243e-5i
\(176\) 14.1953 + 0.956463i 1.07001 + 0.0720961i
\(177\) 2.65116 6.40045i 0.199273 0.481088i
\(178\) 2.69577 9.14034i 0.202056 0.685098i
\(179\) −11.2829 + 13.7483i −0.843327 + 1.02760i 0.155880 + 0.987776i \(0.450179\pi\)
−0.999207 + 0.0398206i \(0.987321\pi\)
\(180\) 4.42099 + 0.366567i 0.329521 + 0.0273223i
\(181\) −5.73573 18.9082i −0.426333 1.40543i −0.862724 0.505675i \(-0.831243\pi\)
0.436390 0.899757i \(-0.356257\pi\)
\(182\) 0.0127591 0.0668385i 0.000945767 0.00495440i
\(183\) 10.0831 + 6.73731i 0.745364 + 0.498037i
\(184\) 0.879945 11.7104i 0.0648704 0.863300i
\(185\) 3.23704 + 4.84457i 0.237992 + 0.356180i
\(186\) 2.91748 7.20023i 0.213920 0.527947i
\(187\) 14.7829 12.1320i 1.08103 0.887180i
\(188\) −2.93711 13.6595i −0.214210 0.996220i
\(189\) −0.00725473 0.0135727i −0.000527704 0.000987265i
\(190\) −6.58446 7.89799i −0.477687 0.572981i
\(191\) 15.5569i 1.12566i 0.826573 + 0.562830i \(0.190287\pi\)
−0.826573 + 0.562830i \(0.809713\pi\)
\(192\) −7.98926 0.414439i −0.576575 0.0299096i
\(193\) 14.3931i 1.03603i 0.855370 + 0.518017i \(0.173330\pi\)
−0.855370 + 0.518017i \(0.826670\pi\)
\(194\) −15.3981 + 12.8372i −1.10552 + 0.921656i
\(195\) 3.26898 + 6.11583i 0.234096 + 0.437964i
\(196\) 7.59697 11.7589i 0.542641 0.839925i
\(197\) 15.8702 13.0243i 1.13070 0.927944i 0.132703 0.991156i \(-0.457634\pi\)
0.998000 + 0.0632113i \(0.0201342\pi\)
\(198\) 4.66202 + 1.88902i 0.331315 + 0.134246i
\(199\) 11.6340 + 17.4116i 0.824714 + 1.23427i 0.969569 + 0.244819i \(0.0787286\pi\)
−0.144855 + 0.989453i \(0.546271\pi\)
\(200\) −0.202302 0.102178i −0.0143049 0.00722507i
\(201\) 3.61590 + 2.41607i 0.255046 + 0.170416i
\(202\) 8.89456 + 1.69792i 0.625819 + 0.119465i
\(203\) 0.0127307 + 0.0419675i 0.000893520 + 0.00294554i
\(204\) −8.20590 + 6.94931i −0.574528 + 0.486549i
\(205\) 8.71752 10.6223i 0.608858 0.741895i
\(206\) 14.8913 + 4.39192i 1.03753 + 0.306000i
\(207\) 1.58887 3.83587i 0.110434 0.266611i
\(208\) −6.23306 10.8417i −0.432185 0.751735i
\(209\) −4.46194 10.7721i −0.308639 0.745120i
\(210\) −0.00510279 0.0480050i −0.000352126 0.00331266i
\(211\) −24.8684 + 2.44933i −1.71201 + 0.168619i −0.906000 0.423277i \(-0.860880\pi\)
−0.806014 + 0.591896i \(0.798380\pi\)
\(212\) 0.673069 + 5.89815i 0.0462266 + 0.405087i
\(213\) −2.77163 1.48147i −0.189909 0.101509i
\(214\) 17.5611 + 11.5387i 1.20045 + 0.788772i
\(215\) 4.73921 + 23.8256i 0.323212 + 1.62489i
\(216\) −2.63750 1.02155i −0.179459 0.0695078i
\(217\) −0.0829183 0.0164935i −0.00562886 0.00111965i
\(218\) −8.82604 + 0.0681776i −0.597775 + 0.00461757i
\(219\) 8.26518 + 0.814049i 0.558509 + 0.0550084i
\(220\) 11.3284 + 10.9837i 0.763759 + 0.740518i
\(221\) −16.0856 4.87953i −1.08204 0.328233i
\(222\) −1.10581 3.54650i −0.0742169 0.238026i
\(223\) 4.46643 4.46643i 0.299094 0.299094i −0.541565 0.840659i \(-0.682168\pi\)
0.840659 + 0.541565i \(0.182168\pi\)
\(224\) 0.0118722 + 0.0862449i 0.000793244 + 0.00576248i
\(225\) −0.0566604 0.0566604i −0.00377736 0.00377736i
\(226\) −7.56505 + 14.4200i −0.503220 + 0.959207i
\(227\) −1.53036 + 5.04493i −0.101574 + 0.334844i −0.992968 0.118385i \(-0.962228\pi\)
0.891394 + 0.453229i \(0.149728\pi\)
\(228\) 2.60218 + 6.01755i 0.172333 + 0.398522i
\(229\) −1.05847 + 10.7468i −0.0699454 + 0.710167i 0.894709 + 0.446649i \(0.147383\pi\)
−0.964654 + 0.263518i \(0.915117\pi\)
\(230\) 9.13786 9.28013i 0.602532 0.611913i
\(231\) 0.0106792 0.0536881i 0.000702642 0.00353242i
\(232\) 6.80365 + 4.32144i 0.446682 + 0.283716i
\(233\) 2.67988 0.533060i 0.175564 0.0349220i −0.106525 0.994310i \(-0.533972\pi\)
0.282090 + 0.959388i \(0.408972\pi\)
\(234\) −0.896051 4.32969i −0.0585767 0.283041i
\(235\) 7.30436 13.6655i 0.476484 0.891439i
\(236\) −12.1172 + 6.71948i −0.788762 + 0.437401i
\(237\) −0.0779054 0.790987i −0.00506050 0.0513801i
\(238\) 0.0910273 + 0.0735348i 0.00590042 + 0.00476656i
\(239\) 2.45915 1.01861i 0.159069 0.0658885i −0.301728 0.953394i \(-0.597564\pi\)
0.460797 + 0.887505i \(0.347564\pi\)
\(240\) −6.46449 6.07687i −0.417281 0.392260i
\(241\) 9.45803 + 3.91764i 0.609245 + 0.252358i 0.665906 0.746036i \(-0.268045\pi\)
−0.0566606 + 0.998393i \(0.518045\pi\)
\(242\) 1.11680 + 2.05111i 0.0717903 + 0.131850i
\(243\) −0.773010 0.634393i −0.0495886 0.0406963i
\(244\) −7.39818 23.0978i −0.473620 1.47869i
\(245\) 14.8575 4.50697i 0.949209 0.287939i
\(246\) −7.24700 + 4.92369i −0.462052 + 0.313923i
\(247\) −5.69380 + 8.52137i −0.362288 + 0.542202i
\(248\) −13.5296 + 7.63997i −0.859133 + 0.485139i
\(249\) −4.61066 + 3.08075i −0.292189 + 0.195234i
\(250\) −6.21181 14.6750i −0.392869 0.928127i
\(251\) 2.98165 + 3.63315i 0.188200 + 0.229322i 0.858559 0.512714i \(-0.171360\pi\)
−0.670359 + 0.742037i \(0.733860\pi\)
\(252\) −0.00553775 + 0.0302775i −0.000348846 + 0.00190730i
\(253\) 13.0241 6.96152i 0.818818 0.437667i
\(254\) 1.13846 12.5523i 0.0714335 0.787600i
\(255\) −11.9256 −0.746812
\(256\) 11.9908 + 10.5934i 0.749425 + 0.662089i
\(257\) 5.88375 0.367018 0.183509 0.983018i \(-0.441254\pi\)
0.183509 + 0.983018i \(0.441254\pi\)
\(258\) 1.39903 15.4252i 0.0870997 0.960329i
\(259\) −0.0356531 + 0.0190570i −0.00221537 + 0.00118414i
\(260\) 2.49531 13.6430i 0.154753 0.846104i
\(261\) 1.80781 + 2.20282i 0.111900 + 0.136351i
\(262\) 3.25212 + 7.68291i 0.200917 + 0.474652i
\(263\) −8.53743 + 5.70453i −0.526440 + 0.351756i −0.790217 0.612828i \(-0.790032\pi\)
0.263776 + 0.964584i \(0.415032\pi\)
\(264\) −4.94674 8.76019i −0.304451 0.539153i
\(265\) −3.65773 + 5.47418i −0.224692 + 0.336276i
\(266\) 0.0590134 0.0400943i 0.00361834 0.00245834i
\(267\) −6.44828 + 1.95606i −0.394628 + 0.119709i
\(268\) −2.65306 8.28310i −0.162062 0.505971i
\(269\) −8.41263 6.90406i −0.512927 0.420948i 0.341998 0.939701i \(-0.388897\pi\)
−0.854924 + 0.518753i \(0.826397\pi\)
\(270\) −1.50002 2.75494i −0.0912883 0.167660i
\(271\) −20.0427 8.30194i −1.21750 0.504307i −0.320889 0.947117i \(-0.603982\pi\)
−0.896616 + 0.442810i \(0.853982\pi\)
\(272\) 21.4960 0.664389i 1.30339 0.0402845i
\(273\) −0.0444528 + 0.0184129i −0.00269041 + 0.00111440i
\(274\) −23.3732 18.8816i −1.41202 1.14068i
\(275\) −0.0279361 0.283640i −0.00168461 0.0171041i
\(276\) −7.26198 + 4.02706i −0.437120 + 0.242401i
\(277\) −7.57138 + 14.1651i −0.454920 + 0.851096i 0.544999 + 0.838436i \(0.316530\pi\)
−0.999920 + 0.0126598i \(0.995970\pi\)
\(278\) 4.76152 + 23.0075i 0.285577 + 1.37990i
\(279\) −5.38785 + 1.07171i −0.322562 + 0.0641616i
\(280\) −0.0517663 + 0.0815006i −0.00309363 + 0.00487059i
\(281\) −4.43475 + 22.2950i −0.264555 + 1.33001i 0.588631 + 0.808402i \(0.299667\pi\)
−0.853186 + 0.521607i \(0.825333\pi\)
\(282\) −6.93167 + 7.03959i −0.412775 + 0.419202i
\(283\) 2.16531 21.9847i 0.128714 1.30686i −0.686259 0.727358i \(-0.740748\pi\)
0.814973 0.579499i \(-0.196752\pi\)
\(284\) 2.49476 + 5.76914i 0.148037 + 0.342336i
\(285\) −2.11065 + 6.95787i −0.125024 + 0.412148i
\(286\) 7.30608 13.9264i 0.432018 0.823487i
\(287\) 0.0674182 + 0.0674182i 0.00397957 + 0.00397957i
\(288\) 2.85727 + 4.88221i 0.168366 + 0.287687i
\(289\) 8.41983 8.41983i 0.495284 0.495284i
\(290\) 2.66083 + 8.53371i 0.156249 + 0.501117i
\(291\) 13.5652 + 4.11495i 0.795204 + 0.241223i
\(292\) −11.9253 11.5624i −0.697877 0.676641i
\(293\) −14.3500 1.41335i −0.838334 0.0825687i −0.330268 0.943887i \(-0.607139\pi\)
−0.508066 + 0.861318i \(0.669639\pi\)
\(294\) −9.89886 + 0.0764647i −0.577314 + 0.00445951i
\(295\) −15.0711 2.99784i −0.877476 0.174541i
\(296\) −2.68345 + 6.92828i −0.155972 + 0.402698i
\(297\) −0.693913 3.48854i −0.0402649 0.202425i
\(298\) −2.88375 1.89480i −0.167051 0.109763i
\(299\) −11.4479 6.11904i −0.662051 0.353873i
\(300\) 0.0181701 + 0.159226i 0.00104905 + 0.00919294i
\(301\) −0.167738 + 0.0165208i −0.00966828 + 0.000952242i
\(302\) −1.34428 12.6465i −0.0773547 0.727723i
\(303\) −2.45031 5.91558i −0.140767 0.339841i
\(304\) 3.41681 12.6592i 0.195968 0.726052i
\(305\) 10.2935 24.8508i 0.589406 1.42295i
\(306\) 7.29303 + 2.15094i 0.416915 + 0.122961i
\(307\) −4.87813 + 5.94402i −0.278410 + 0.339243i −0.893376 0.449310i \(-0.851670\pi\)
0.614966 + 0.788554i \(0.289170\pi\)
\(308\) −0.0835460 + 0.0707524i −0.00476048 + 0.00403149i
\(309\) −3.18680 10.5055i −0.181291 0.597635i
\(310\) −16.9263 3.23113i −0.961348 0.183516i
\(311\) 23.4566 + 15.6732i 1.33010 + 0.888746i 0.998504 0.0546742i \(-0.0174120\pi\)
0.331599 + 0.943421i \(0.392412\pi\)
\(312\) −3.98668 + 7.89322i −0.225701 + 0.446866i
\(313\) −11.7776 17.6265i −0.665711 0.996307i −0.998577 0.0533331i \(-0.983015\pi\)
0.332865 0.942974i \(-0.391985\pi\)
\(314\) −15.7206 6.36989i −0.887167 0.359474i
\(315\) −0.0263874 + 0.0216556i −0.00148676 + 0.00122015i
\(316\) −0.862626 + 1.33521i −0.0485265 + 0.0751116i
\(317\) −13.4205 25.1079i −0.753768 1.41020i −0.906618 0.421952i \(-0.861345\pi\)
0.152850 0.988249i \(-0.451155\pi\)
\(318\) 3.22419 2.68797i 0.180804 0.150734i
\(319\) 10.1359i 0.567502i
\(320\) 2.55556 + 17.5596i 0.142860 + 0.981613i
\(321\) 14.8582i 0.829306i
\(322\) 0.0578645 + 0.0694078i 0.00322466 + 0.00386795i
\(323\) −8.30818 15.5435i −0.462279 0.864864i
\(324\) 0.420437 + 1.95531i 0.0233576 + 0.108628i
\(325\) −0.193655 + 0.158929i −0.0107420 + 0.00881577i
\(326\) −7.70158 + 19.0072i −0.426551 + 1.05271i
\(327\) 3.46739 + 5.18932i 0.191747 + 0.286970i
\(328\) 17.4735 + 1.31300i 0.964812 + 0.0724983i
\(329\) 0.0893923 + 0.0597300i 0.00492835 + 0.00329302i
\(330\) 2.09210 10.9595i 0.115166 0.603298i
\(331\) −0.551783 1.81899i −0.0303288 0.0999805i 0.940469 0.339879i \(-0.110386\pi\)
−0.970798 + 0.239898i \(0.922886\pi\)
\(332\) 11.0525 + 0.916417i 0.606583 + 0.0502949i
\(333\) −1.66644 + 2.03057i −0.0913206 + 0.111274i
\(334\) −9.47452 + 32.1245i −0.518422 + 1.75778i
\(335\) 3.69136 8.91174i 0.201681 0.486900i
\(336\) 0.0463569 0.0405043i 0.00252898 0.00220969i
\(337\) −7.55810 18.2469i −0.411716 0.993971i −0.984677 0.174388i \(-0.944205\pi\)
0.572961 0.819583i \(-0.305795\pi\)
\(338\) 4.53589 0.482151i 0.246720 0.0262256i
\(339\) 11.4591 1.12862i 0.622371 0.0612982i
\(340\) 18.6688 + 14.8445i 1.01246 + 0.805054i
\(341\) −17.2322 9.21081i −0.933177 0.498793i
\(342\) 2.54569 3.87435i 0.137655 0.209501i
\(343\) 0.0420331 + 0.211315i 0.00226957 + 0.0114099i
\(344\) −21.3906 + 22.4057i −1.15330 + 1.20803i
\(345\) −9.03231 1.79664i −0.486283 0.0967278i
\(346\) 0.276934 + 35.8510i 0.0148881 + 1.92736i
\(347\) −34.5392 3.40182i −1.85416 0.182619i −0.891446 0.453128i \(-0.850308\pi\)
−0.962718 + 0.270508i \(0.912808\pi\)
\(348\) −0.0880446 5.69864i −0.00471969 0.305479i
\(349\) 6.36230 + 1.92998i 0.340566 + 0.103310i 0.455935 0.890013i \(-0.349305\pi\)
−0.115369 + 0.993323i \(0.536805\pi\)
\(350\) 0.00166494 0.000519130i 8.89945e−5 2.77487e-5i
\(351\) −2.21072 + 2.21072i −0.118000 + 0.118000i
\(352\) −3.16045 + 19.8710i −0.168453 + 1.05913i
\(353\) 0.112946 + 0.112946i 0.00601153 + 0.00601153i 0.710106 0.704095i \(-0.248647\pi\)
−0.704095 + 0.710106i \(0.748647\pi\)
\(354\) 8.67594 + 4.55158i 0.461121 + 0.241914i
\(355\) −2.02352 + 6.67064i −0.107397 + 0.354041i
\(356\) 12.5292 + 4.96441i 0.664046 + 0.263113i
\(357\) 0.00811039 0.0823462i 0.000429247 0.00435822i
\(358\) −17.9223 17.6475i −0.947221 0.932699i
\(359\) 0.478773 2.40695i 0.0252687 0.127034i −0.966092 0.258198i \(-0.916871\pi\)
0.991361 + 0.131164i \(0.0418714\pi\)
\(360\) −1.08103 + 6.17983i −0.0569752 + 0.325706i
\(361\) 8.09584 1.61036i 0.426097 0.0847559i
\(362\) 27.3636 5.66303i 1.43820 0.297642i
\(363\) 0.778467 1.45641i 0.0408589 0.0764417i
\(364\) 0.0925076 + 0.0265084i 0.00484871 + 0.00138942i
\(365\) −1.80563 18.3328i −0.0945107 0.959584i
\(366\) −10.7771 + 13.3407i −0.563327 + 0.697331i
\(367\) −16.1275 + 6.68024i −0.841850 + 0.348705i −0.761583 0.648068i \(-0.775577\pi\)
−0.0802670 + 0.996773i \(0.525577\pi\)
\(368\) 16.3809 + 2.73525i 0.853911 + 0.142585i
\(369\) 5.72365 + 2.37081i 0.297961 + 0.123420i
\(370\) −7.23676 + 3.94030i −0.376221 + 0.204846i
\(371\) −0.0353115 0.0289794i −0.00183328 0.00150453i
\(372\) 9.76836 + 5.02884i 0.506466 + 0.260733i
\(373\) 8.16243 2.47605i 0.422635 0.128205i −0.0718011 0.997419i \(-0.522875\pi\)
0.494436 + 0.869214i \(0.335375\pi\)
\(374\) 15.1987 + 22.3705i 0.785907 + 1.15675i
\(375\) −6.26023 + 9.36910i −0.323277 + 0.483818i
\(376\) 19.6136 2.39183i 1.01150 0.123349i
\(377\) 7.40778 4.94972i 0.381520 0.254924i
\(378\) 0.0200429 0.00848401i 0.00103090 0.000436370i
\(379\) 7.66135 + 9.33538i 0.393537 + 0.479526i 0.931655 0.363343i \(-0.118365\pi\)
−0.538119 + 0.842869i \(0.680865\pi\)
\(380\) 11.9649 8.26487i 0.613786 0.423979i
\(381\) −7.85988 + 4.20119i −0.402674 + 0.215234i
\(382\) −21.9109 1.98727i −1.12106 0.101678i
\(383\) 23.1386 1.18233 0.591164 0.806552i \(-0.298669\pi\)
0.591164 + 0.806552i \(0.298669\pi\)
\(384\) 1.60427 11.1994i 0.0818676 0.571516i
\(385\) −0.121417 −0.00618801
\(386\) −20.2716 1.83859i −1.03180 0.0935820i
\(387\) −9.65881 + 5.16274i −0.490985 + 0.262437i
\(388\) −16.1133 23.3270i −0.818030 1.18425i
\(389\) 8.25634 + 10.0604i 0.418613 + 0.510081i 0.939032 0.343830i \(-0.111724\pi\)
−0.520419 + 0.853911i \(0.674224\pi\)
\(390\) −9.03132 + 3.82289i −0.457319 + 0.193580i
\(391\) 18.5609 12.4020i 0.938666 0.627196i
\(392\) 15.5912 + 12.2019i 0.787476 + 0.616290i
\(393\) 3.27747 4.90508i 0.165327 0.247429i
\(394\) 16.3166 + 24.0158i 0.822018 + 1.20990i
\(395\) −1.68705 + 0.511760i −0.0848845 + 0.0257494i
\(396\) −3.25609 + 6.32483i −0.163624 + 0.317835i
\(397\) 18.9922 + 15.5865i 0.953194 + 0.782266i 0.976066 0.217473i \(-0.0697813\pi\)
−0.0228728 + 0.999738i \(0.507281\pi\)
\(398\) −26.0091 + 14.1616i −1.30372 + 0.709855i
\(399\) −0.0466084 0.0193058i −0.00233334 0.000966501i
\(400\) 0.169753 0.271876i 0.00848765 0.0135938i
\(401\) −28.3918 + 11.7603i −1.41782 + 0.587281i −0.954312 0.298812i \(-0.903410\pi\)
−0.463509 + 0.886092i \(0.653410\pi\)
\(402\) −3.86477 + 4.78412i −0.192757 + 0.238610i
\(403\) 1.68342 + 17.0921i 0.0838572 + 0.851416i
\(404\) −3.52761 + 12.3105i −0.175505 + 0.612470i
\(405\) −1.04559 + 1.95617i −0.0519560 + 0.0972029i
\(406\) −0.0607346 + 0.0125693i −0.00301421 + 0.000623805i
\(407\) −9.16380 + 1.82279i −0.454233 + 0.0903525i
\(408\) −8.73939 12.4452i −0.432665 0.616128i
\(409\) 4.30685 21.6520i 0.212960 1.07062i −0.715336 0.698780i \(-0.753726\pi\)
0.928296 0.371842i \(-0.121274\pi\)
\(410\) 13.8472 + 13.6349i 0.683866 + 0.673382i
\(411\) −2.08251 + 21.1441i −0.102723 + 1.04296i
\(412\) −8.08797 + 20.4124i −0.398466 + 1.00565i
\(413\) 0.0309496 0.102027i 0.00152293 0.00502042i
\(414\) 5.19959 + 2.72781i 0.255546 + 0.134065i
\(415\) 8.69719 + 8.69719i 0.426928 + 0.426928i
\(416\) 16.0660 7.39391i 0.787700 0.362516i
\(417\) 11.7475 11.7475i 0.575279 0.575279i
\(418\) 15.7417 4.90829i 0.769952 0.240073i
\(419\) 5.07465 + 1.53938i 0.247913 + 0.0752036i 0.411795 0.911276i \(-0.364902\pi\)
−0.163883 + 0.986480i \(0.552402\pi\)
\(420\) 0.0682637 0.00105468i 0.00333093 5.14632e-5i
\(421\) −15.5994 1.53641i −0.760270 0.0748801i −0.289550 0.957163i \(-0.593506\pi\)
−0.470720 + 0.882283i \(0.656006\pi\)
\(422\) −0.272975 35.3384i −0.0132882 1.72025i
\(423\) 6.85161 + 1.36287i 0.333137 + 0.0662650i
\(424\) −8.39313 + 0.194532i −0.407606 + 0.00944729i
\(425\) −0.0840495 0.422545i −0.00407700 0.0204965i
\(426\) 2.44060 3.71441i 0.118248 0.179964i
\(427\) 0.164593 + 0.0879770i 0.00796523 + 0.00425751i
\(428\) −18.4948 + 23.2596i −0.893981 + 1.12430i
\(429\) −11.0668 + 1.08998i −0.534310 + 0.0526249i
\(430\) −34.1622 + 3.63133i −1.64745 + 0.175118i
\(431\) −9.49857 22.9316i −0.457530 1.10458i −0.969394 0.245509i \(-0.921045\pi\)
0.511864 0.859066i \(-0.328955\pi\)
\(432\) 1.77571 3.58425i 0.0854337 0.172447i
\(433\) 12.2048 29.4649i 0.586523 1.41599i −0.300283 0.953850i \(-0.597081\pi\)
0.886806 0.462142i \(-0.152919\pi\)
\(434\) 0.0338221 0.114678i 0.00162351 0.00550472i
\(435\) 4.00985 4.88602i 0.192258 0.234267i
\(436\) 1.03143 12.4396i 0.0493966 0.595748i
\(437\) −3.95082 13.0241i −0.188993 0.623027i
\(438\) −2.20234 + 11.5370i −0.105232 + 0.551257i
\(439\) −4.41550 2.95034i −0.210740 0.140812i 0.445721 0.895172i \(-0.352947\pi\)
−0.656461 + 0.754360i \(0.727947\pi\)
\(440\) −16.9169 + 14.5522i −0.806479 + 0.693749i
\(441\) 3.88886 + 5.82009i 0.185184 + 0.277147i
\(442\) 8.92729 22.0322i 0.424628 1.04797i
\(443\) 12.2093 10.0199i 0.580080 0.476059i −0.298005 0.954564i \(-0.596321\pi\)
0.878085 + 0.478505i \(0.158821\pi\)
\(444\) 5.13627 1.10442i 0.243757 0.0524133i
\(445\) 7.04567 + 13.1815i 0.333997 + 0.624864i
\(446\) 5.72011 + 6.86121i 0.270855 + 0.324888i
\(447\) 2.43991i 0.115404i
\(448\) −0.122987 + 0.00570411i −0.00581058 + 0.000269494i
\(449\) 22.8643i 1.07903i 0.841975 + 0.539517i \(0.181393\pi\)
−0.841975 + 0.539517i \(0.818607\pi\)
\(450\) 0.0870402 0.0725644i 0.00410311 0.00342072i
\(451\) 10.3876 + 19.4338i 0.489131 + 0.915100i
\(452\) −19.3433 12.4969i −0.909832 0.587805i
\(453\) −6.95152 + 5.70496i −0.326611 + 0.268043i
\(454\) −6.90996 2.79986i −0.324300 0.131404i
\(455\) 0.0592925 + 0.0887374i 0.00277967 + 0.00416007i
\(456\) −8.80772 + 2.89630i −0.412459 + 0.135631i
\(457\) −19.4513 12.9969i −0.909893 0.607971i 0.0100813 0.999949i \(-0.496791\pi\)
−0.919975 + 0.391978i \(0.871791\pi\)
\(458\) −15.0009 2.86359i −0.700946 0.133807i
\(459\) −1.56073 5.14505i −0.0728488 0.240150i
\(460\) 11.9031 + 14.0555i 0.554987 + 0.655342i
\(461\) −3.34479 + 4.07563i −0.155782 + 0.189821i −0.845053 0.534683i \(-0.820431\pi\)
0.689271 + 0.724504i \(0.257931\pi\)
\(462\) 0.0742519 + 0.0218992i 0.00345451 + 0.00101884i
\(463\) 5.61611 13.5585i 0.261003 0.630116i −0.737998 0.674803i \(-0.764229\pi\)
0.999001 + 0.0446861i \(0.0142288\pi\)
\(464\) −6.95557 + 9.03046i −0.322904 + 0.419228i
\(465\) 4.66292 + 11.2573i 0.216238 + 0.522044i
\(466\) 0.408448 + 3.84252i 0.0189210 + 0.178001i
\(467\) −2.43846 + 0.240168i −0.112839 + 0.0111136i −0.154279 0.988027i \(-0.549305\pi\)
0.0414402 + 0.999141i \(0.486805\pi\)
\(468\) 6.21254 0.708945i 0.287175 0.0327710i
\(469\) 0.0590249 + 0.0315494i 0.00272551 + 0.00145682i
\(470\) 18.3139 + 12.0334i 0.844755 + 0.555057i
\(471\) 2.33992 + 11.7636i 0.107818 + 0.542037i
\(472\) −7.91606 17.9246i −0.364366 0.825047i
\(473\) −38.2065 7.59974i −1.75674 0.349437i
\(474\) 1.12400 0.00868247i 0.0516272 0.000398799i
\(475\) −0.261404 0.0257461i −0.0119940 0.00118131i
\(476\) −0.115197 + 0.118812i −0.00528004 + 0.00544575i
\(477\) −2.84041 0.861628i −0.130053 0.0394512i
\(478\) 1.12051 + 3.59366i 0.0512509 + 0.164370i
\(479\) 16.7305 16.7305i 0.764438 0.764438i −0.212683 0.977121i \(-0.568220\pi\)
0.977121 + 0.212683i \(0.0682202\pi\)
\(480\) 9.38464 8.32853i 0.428348 0.380144i
\(481\) 5.80719 + 5.80719i 0.264785 + 0.264785i
\(482\) −6.72592 + 12.8205i −0.306357 + 0.583960i
\(483\) 0.0185484 0.0611460i 0.000843983 0.00278224i
\(484\) −3.03151 + 1.31092i −0.137796 + 0.0595872i
\(485\) 3.08190 31.2911i 0.139942 1.42086i
\(486\) 0.992246 1.00769i 0.0450092 0.0457100i
\(487\) 6.88044 34.5903i 0.311783 1.56744i −0.433791 0.901014i \(-0.642824\pi\)
0.745573 0.666423i \(-0.232176\pi\)
\(488\) 33.4768 7.46928i 1.51542 0.338119i
\(489\) 14.2229 2.82911i 0.643181 0.127937i
\(490\) 4.44984 + 21.5015i 0.201023 + 0.971338i
\(491\) −6.22799 + 11.6517i −0.281065 + 0.525836i −0.982352 0.187044i \(-0.940109\pi\)
0.701286 + 0.712880i \(0.252609\pi\)
\(492\) −6.00894 10.8359i −0.270904 0.488519i
\(493\) 1.50176 + 15.2476i 0.0676358 + 0.686718i
\(494\) −11.2744 9.10787i −0.507261 0.409782i
\(495\) −7.28889 + 3.01916i −0.327611 + 0.135701i
\(496\) −9.03209 20.0315i −0.405553 0.899442i
\(497\) −0.0446844 0.0185089i −0.00200437 0.000830238i
\(498\) −3.75005 6.88735i −0.168044 0.308629i
\(499\) 2.92608 + 2.40137i 0.130989 + 0.107500i 0.697607 0.716481i \(-0.254248\pi\)
−0.566618 + 0.823981i \(0.691748\pi\)
\(500\) 21.4622 6.87430i 0.959819 0.307428i
\(501\) 22.6630 6.87476i 1.01251 0.307141i
\(502\) −5.49792 + 3.73534i −0.245384 + 0.166717i
\(503\) 22.4592 33.6126i 1.00141 1.49871i 0.140417 0.990092i \(-0.455156\pi\)
0.860991 0.508620i \(-0.169844\pi\)
\(504\) −0.0419364 0.0116672i −0.00186799 0.000519701i
\(505\) −11.8088 + 7.89037i −0.525484 + 0.351117i
\(506\) 8.14111 + 19.2328i 0.361917 + 0.855004i
\(507\) −2.04619 2.49329i −0.0908746 0.110731i
\(508\) 17.5336 + 3.20690i 0.777928 + 0.142283i
\(509\) −11.7519 + 6.28154i −0.520895 + 0.278424i −0.710820 0.703374i \(-0.751676\pi\)
0.189924 + 0.981799i \(0.439176\pi\)
\(510\) 1.52340 16.7965i 0.0674574 0.743760i
\(511\) 0.127816 0.00565423
\(512\) −16.4518 + 15.5350i −0.727076 + 0.686557i
\(513\) −3.27804 −0.144729
\(514\) −0.751601 + 8.28687i −0.0331517 + 0.365518i
\(515\) −21.4752 + 11.4787i −0.946310 + 0.505813i
\(516\) 21.5466 + 3.94087i 0.948536 + 0.173487i
\(517\) 15.7633 + 19.2076i 0.693268 + 0.844750i
\(518\) −0.0222861 0.0526493i −0.000979193 0.00231328i
\(519\) 21.0788 14.0844i 0.925255 0.618236i
\(520\) 18.8965 + 5.25726i 0.828667 + 0.230546i
\(521\) −13.7417 + 20.5659i −0.602034 + 0.901007i −0.999865 0.0164515i \(-0.994763\pi\)
0.397831 + 0.917459i \(0.369763\pi\)
\(522\) −3.33345 + 2.26478i −0.145901 + 0.0991267i
\(523\) 16.8347 5.10674i 0.736129 0.223302i 0.100111 0.994976i \(-0.468080\pi\)
0.636018 + 0.771674i \(0.280580\pi\)
\(524\) −11.2363 + 3.59896i −0.490860 + 0.157221i
\(525\) −0.000953267 0 0.000782326i −4.16040e−5 0 3.41435e-5i
\(526\) −6.94386 12.7531i −0.302767 0.556062i
\(527\) −27.2874 11.3028i −1.18866 0.492358i
\(528\) 12.9700 5.84811i 0.564449 0.254506i
\(529\) −5.32304 + 2.20488i −0.231437 + 0.0958642i
\(530\) −7.24276 5.85094i −0.314606 0.254149i
\(531\) −0.679043 6.89444i −0.0294680 0.299193i
\(532\) 0.0489316 + 0.0882380i 0.00212145 + 0.00382560i
\(533\) 9.13046 17.0819i 0.395484 0.739899i
\(534\) −1.93127 9.33184i −0.0835742 0.403828i
\(535\) −32.3235 + 6.42954i −1.39747 + 0.277973i
\(536\) 12.0051 2.67856i 0.518541 0.115696i
\(537\) −3.46976 + 17.4437i −0.149731 + 0.752750i
\(538\) 10.7986 10.9667i 0.465559 0.472807i
\(539\) −2.44036 + 24.7774i −0.105114 + 1.06724i
\(540\) 4.07176 1.76076i 0.175221 0.0757708i
\(541\) −5.59758 + 18.4527i −0.240659 + 0.793345i 0.750524 + 0.660843i \(0.229801\pi\)
−0.991183 + 0.132502i \(0.957699\pi\)
\(542\) 14.2530 27.1682i 0.612219 1.16697i
\(543\) −13.9717 13.9717i −0.599583 0.599583i
\(544\) −1.81019 + 30.3605i −0.0776111 + 1.30170i
\(545\) 9.78872 9.78872i 0.419303 0.419303i
\(546\) −0.0202549 0.0649609i −0.000866830 0.00278007i
\(547\) 20.4565 + 6.20540i 0.874656 + 0.265324i 0.695525 0.718501i \(-0.255172\pi\)
0.179130 + 0.983825i \(0.442672\pi\)
\(548\) 29.5792 30.5075i 1.26356 1.30322i
\(549\) 12.0685 + 1.18864i 0.515069 + 0.0507299i
\(550\) 0.403056 0.00311345i 0.0171864 0.000132758i
\(551\) 9.16181 + 1.82240i 0.390306 + 0.0776368i
\(552\) −4.74419 10.7424i −0.201926 0.457228i
\(553\) −0.00238636 0.0119970i −0.000101478 0.000510166i
\(554\) −18.9834 12.4733i −0.806525 0.529938i
\(555\) 5.13853 + 2.74660i 0.218118 + 0.116587i
\(556\) −33.0128 + 3.76726i −1.40005 + 0.159767i
\(557\) 19.1748 1.88855i 0.812462 0.0800205i 0.316751 0.948509i \(-0.397408\pi\)
0.495710 + 0.868488i \(0.334908\pi\)
\(558\) −0.821178 7.72533i −0.0347633 0.327039i
\(559\) 13.1033 + 31.6343i 0.554212 + 1.33799i
\(560\) −0.108175 0.0833203i −0.00457124 0.00352093i
\(561\) 7.31836 17.6681i 0.308981 0.745947i
\(562\) −30.8345 9.09406i −1.30068 0.383610i
\(563\) −7.88595 + 9.60906i −0.332353 + 0.404973i −0.912196 0.409755i \(-0.865614\pi\)
0.579842 + 0.814729i \(0.303114\pi\)
\(564\) −9.02933 10.6620i −0.380203 0.448953i
\(565\) −7.41389 24.4403i −0.311905 1.02821i
\(566\) 30.6874 + 5.85806i 1.28989 + 0.246233i
\(567\) −0.0127962 0.00855015i −0.000537390 0.000359073i
\(568\) −8.44413 + 2.77674i −0.354308 + 0.116509i
\(569\) −14.6410 21.9118i −0.613781 0.918589i 0.386211 0.922410i \(-0.373784\pi\)
−0.999993 + 0.00382173i \(0.998784\pi\)
\(570\) −9.53007 3.86151i −0.399171 0.161741i
\(571\) −10.5100 + 8.62531i −0.439828 + 0.360958i −0.828094 0.560590i \(-0.810574\pi\)
0.388265 + 0.921548i \(0.373074\pi\)
\(572\) 18.6811 + 12.0691i 0.781097 + 0.504635i
\(573\) 7.33349 + 13.7200i 0.306361 + 0.573161i
\(574\) −0.103566 + 0.0863419i −0.00432277 + 0.00360384i
\(575\) 0.332692i 0.0138742i
\(576\) −7.24126 + 3.40061i −0.301719 + 0.141692i
\(577\) 23.8530i 0.993015i 0.868032 + 0.496508i \(0.165385\pi\)
−0.868032 + 0.496508i \(0.834615\pi\)
\(578\) 10.7832 + 12.9343i 0.448522 + 0.537997i
\(579\) 6.78484 + 12.6935i 0.281968 + 0.527526i
\(580\) −12.3591 + 2.65749i −0.513182 + 0.110346i
\(581\) −0.0659686 + 0.0541390i −0.00273684 + 0.00224607i
\(582\) −7.52847 + 18.5800i −0.312065 + 0.770165i
\(583\) −5.86548 8.77832i −0.242924 0.363561i
\(584\) 17.8083 15.3190i 0.736912 0.633906i
\(585\) 5.76597 + 3.85269i 0.238393 + 0.159289i
\(586\) 3.82369 20.0304i 0.157955 0.827449i
\(587\) −7.76175 25.5871i −0.320362 1.05609i −0.958243 0.285956i \(-0.907689\pi\)
0.637881 0.770135i \(-0.279811\pi\)
\(588\) 1.15680 13.9517i 0.0477057 0.575356i
\(589\) −11.4239 + 13.9201i −0.470714 + 0.573567i
\(590\) 6.14747 20.8437i 0.253087 0.858123i
\(591\) 7.85663 18.9676i 0.323178 0.780222i
\(592\) −9.41523 4.66448i −0.386964 0.191709i
\(593\) −8.79110 21.2236i −0.361007 0.871549i −0.995153 0.0983353i \(-0.968648\pi\)
0.634146 0.773213i \(-0.281352\pi\)
\(594\) 5.00201 0.531698i 0.205235 0.0218158i
\(595\) −0.182650 + 0.0179895i −0.00748793 + 0.000737497i
\(596\) 3.03708 3.81952i 0.124404 0.156454i
\(597\) 18.4680 + 9.87137i 0.755847 + 0.404008i
\(598\) 10.0806 15.3420i 0.412228 0.627380i
\(599\) 3.43298 + 17.2588i 0.140268 + 0.705174i 0.985351 + 0.170539i \(0.0545509\pi\)
−0.845083 + 0.534635i \(0.820449\pi\)
\(600\) −0.226581 + 0.00525157i −0.00925012 + 0.000214394i
\(601\) −40.6705 8.08988i −1.65899 0.329993i −0.725395 0.688333i \(-0.758343\pi\)
−0.933591 + 0.358340i \(0.883343\pi\)
\(602\) −0.00184122 0.238358i −7.50426e−5 0.00971477i
\(603\) 4.32787 + 0.426258i 0.176244 + 0.0173586i
\(604\) 17.9834 0.277846i 0.731735 0.0113054i
\(605\) −3.50522 1.06330i −0.142507 0.0432292i
\(606\) 8.64470 2.69543i 0.351167 0.109494i
\(607\) 21.8304 21.8304i 0.886070 0.886070i −0.108073 0.994143i \(-0.534468\pi\)
0.994143 + 0.108073i \(0.0344681\pi\)
\(608\) 17.3931 + 6.42945i 0.705383 + 0.260749i
\(609\) 0.0310108 + 0.0310108i 0.00125662 + 0.00125662i
\(610\) 33.6857 + 17.6722i 1.36390 + 0.715527i
\(611\) 6.34003 20.9003i 0.256490 0.845535i
\(612\) −3.96108 + 9.99698i −0.160117 + 0.404104i
\(613\) −3.49624 + 35.4979i −0.141212 + 1.43375i 0.619673 + 0.784860i \(0.287265\pi\)
−0.760885 + 0.648887i \(0.775235\pi\)
\(614\) −7.74861 7.62982i −0.312708 0.307914i
\(615\) 2.68083 13.4775i 0.108102 0.543464i
\(616\) −0.0889776 0.126707i −0.00358501 0.00510517i
\(617\) 42.8420 8.52180i 1.72475 0.343075i 0.769450 0.638707i \(-0.220530\pi\)
0.955302 + 0.295632i \(0.0955302\pi\)
\(618\) 15.2033 3.14640i 0.611568 0.126567i
\(619\) −1.88976 + 3.53549i −0.0759559 + 0.142103i −0.917032 0.398813i \(-0.869422\pi\)
0.841077 + 0.540916i \(0.181922\pi\)
\(620\) 6.71302 23.4268i 0.269602 0.940842i
\(621\) −0.406959 4.13192i −0.0163307 0.165808i
\(622\) −25.0711 + 31.0349i −1.00526 + 1.24439i
\(623\) −0.0958096 + 0.0396857i −0.00383853 + 0.00158997i
\(624\) −10.6078 6.62326i −0.424652 0.265143i
\(625\) 22.7209 + 9.41131i 0.908836 + 0.376452i
\(626\) 26.3302 14.3364i 1.05237 0.572997i
\(627\) −9.01300 7.39677i −0.359944 0.295399i
\(628\) 10.9797 21.3278i 0.438139 0.851071i
\(629\) −13.5152 + 4.09979i −0.538886 + 0.163469i
\(630\) −0.0271297 0.0399312i −0.00108087 0.00159090i
\(631\) −4.59564 + 6.87786i −0.182950 + 0.273803i −0.911597 0.411086i \(-0.865150\pi\)
0.728647 + 0.684890i \(0.240150\pi\)
\(632\) −1.77036 1.38551i −0.0704213 0.0551127i
\(633\) −20.7774 + 13.8830i −0.825828 + 0.551800i
\(634\) 37.0772 15.6945i 1.47252 0.623308i
\(635\) 12.5407 + 15.2809i 0.497662 + 0.606403i
\(636\) 3.37396 + 4.88442i 0.133786 + 0.193680i
\(637\) 19.3002 10.3162i 0.764702 0.408742i
\(638\) −14.2757 1.29478i −0.565182 0.0512608i
\(639\) −3.14272 −0.124324
\(640\) −25.0580 + 1.35624i −0.990505 + 0.0536099i
\(641\) −14.1401 −0.558500 −0.279250 0.960218i \(-0.590086\pi\)
−0.279250 + 0.960218i \(0.590086\pi\)
\(642\) 20.9268 + 1.89802i 0.825916 + 0.0749088i
\(643\) −27.6065 + 14.7560i −1.08869 + 0.581918i −0.915234 0.402923i \(-0.867994\pi\)
−0.173458 + 0.984841i \(0.555494\pi\)
\(644\) −0.105148 + 0.0726320i −0.00414341 + 0.00286210i
\(645\) 15.4109 + 18.7783i 0.606805 + 0.739394i
\(646\) 22.9533 9.71595i 0.903085 0.382269i
\(647\) 32.9535 22.0188i 1.29554 0.865650i 0.299457 0.954110i \(-0.403195\pi\)
0.996080 + 0.0884599i \(0.0281945\pi\)
\(648\) −2.80763 + 0.342383i −0.110294 + 0.0134501i
\(649\) 13.6900 20.4886i 0.537380 0.804246i
\(650\) −0.199102 0.293052i −0.00780943 0.0114944i
\(651\) −0.0809024 + 0.0245415i −0.00317082 + 0.000961856i
\(652\) −25.7866 13.2752i −1.00988 0.519896i
\(653\) 34.3114 + 28.1586i 1.34271 + 1.10193i 0.985824 + 0.167784i \(0.0536611\pi\)
0.356885 + 0.934148i \(0.383839\pi\)
\(654\) −7.75173 + 4.22069i −0.303117 + 0.165042i
\(655\) −12.0891 5.00745i −0.472358 0.195657i
\(656\) −4.08137 + 24.4425i −0.159351 + 0.954320i
\(657\) 7.67298 3.17825i 0.299351 0.123995i
\(658\) −0.0955448 + 0.118273i −0.00372472 + 0.00461076i
\(659\) −3.10661 31.5420i −0.121016 1.22870i −0.843430 0.537239i \(-0.819467\pi\)
0.722414 0.691461i \(-0.243033\pi\)
\(660\) 15.1684 + 4.34656i 0.590429 + 0.169190i
\(661\) −0.562032 + 1.05149i −0.0218605 + 0.0408982i −0.892614 0.450821i \(-0.851131\pi\)
0.870754 + 0.491719i \(0.163631\pi\)
\(662\) 2.63240 0.544789i 0.102311 0.0211738i
\(663\) −16.4865 + 3.27936i −0.640281 + 0.127360i
\(664\) −2.70257 + 15.4496i −0.104880 + 0.599560i
\(665\) −0.0218304 + 0.109749i −0.000846547 + 0.00425588i
\(666\) −2.64704 2.60646i −0.102571 0.100998i
\(667\) −1.15969 + 11.7746i −0.0449035 + 0.455913i
\(668\) −44.0349 17.4479i −1.70376 0.675078i
\(669\) 1.83358 6.04450i 0.0708902 0.233694i
\(670\) 12.0800 + 6.33744i 0.466693 + 0.244837i
\(671\) 30.5002 + 30.5002i 1.17745 + 1.17745i
\(672\) 0.0511259 + 0.0704647i 0.00197222 + 0.00271824i
\(673\) −23.8442 + 23.8442i −0.919126 + 0.919126i −0.996966 0.0778398i \(-0.975198\pi\)
0.0778398 + 0.996966i \(0.475198\pi\)
\(674\) 26.6650 8.31419i 1.02710 0.320251i
\(675\) −0.0766795 0.0232605i −0.00295140 0.000895296i
\(676\) 0.0996546 + 6.45009i 0.00383287 + 0.248080i
\(677\) 21.4074 + 2.10844i 0.822752 + 0.0810340i 0.500627 0.865663i \(-0.333103\pi\)
0.322125 + 0.946697i \(0.395603\pi\)
\(678\) 0.125783 + 16.2835i 0.00483068 + 0.625364i
\(679\) 0.213968 + 0.0425609i 0.00821134 + 0.00163334i
\(680\) −23.2922 + 24.3975i −0.893215 + 0.935603i
\(681\) 1.02850 + 5.17064i 0.0394124 + 0.198139i
\(682\) 15.1741 23.0938i 0.581045 0.884307i
\(683\) −20.8344 11.1362i −0.797207 0.426116i 0.0218976 0.999760i \(-0.493029\pi\)
−0.819105 + 0.573644i \(0.805529\pi\)
\(684\) 5.13157 + 4.08035i 0.196210 + 0.156016i
\(685\) 46.8993 4.61917i 1.79193 0.176490i
\(686\) −0.302992 + 0.0322071i −0.0115683 + 0.00122967i
\(687\) 4.13251 + 9.97677i 0.157665 + 0.380638i
\(688\) −28.8244 32.9893i −1.09892 1.25771i
\(689\) −3.55127 + 8.57353i −0.135293 + 0.326626i
\(690\) 3.68425 12.4919i 0.140257 0.475558i
\(691\) −21.9476 + 26.7433i −0.834928 + 1.01736i 0.164592 + 0.986362i \(0.447369\pi\)
−0.999519 + 0.0310004i \(0.990131\pi\)
\(692\) −50.5291 4.18962i −1.92083 0.159266i
\(693\) −0.0158902 0.0523828i −0.000603617 0.00198986i
\(694\) 9.20333 48.2116i 0.349354 1.83009i
\(695\) −30.6397 20.4728i −1.16223 0.776578i
\(696\) 8.03740 + 0.603949i 0.304657 + 0.0228926i
\(697\) 18.5055 + 27.6955i 0.700946 + 1.04904i
\(698\) −3.53098 + 8.71434i −0.133650 + 0.329843i
\(699\) 2.11216 1.73340i 0.0798891 0.0655633i
\(700\) 0.000518478 0.00241126i 1.95966e−5 9.11372e-5i
\(701\) 8.25009 + 15.4348i 0.311602 + 0.582966i 0.988161 0.153423i \(-0.0490296\pi\)
−0.676559 + 0.736389i \(0.736530\pi\)
\(702\) −2.83125 3.39605i −0.106859 0.128176i
\(703\) 8.61086i 0.324765i
\(704\) −27.5832 6.98964i −1.03958 0.263432i
\(705\) 15.4951i 0.583581i
\(706\) −0.173505 + 0.144649i −0.00652996 + 0.00544395i
\(707\) −0.0464519 0.0869053i −0.00174700 0.00326841i
\(708\) −7.51887 + 11.6381i −0.282576 + 0.437385i
\(709\) −39.1591 + 32.1370i −1.47065 + 1.20693i −0.539662 + 0.841882i \(0.681448\pi\)
−0.930988 + 0.365050i \(0.881052\pi\)
\(710\) −9.13667 3.70211i −0.342893 0.138938i
\(711\) −0.441575 0.660864i −0.0165604 0.0247843i
\(712\) −8.59254 + 17.0124i −0.322019 + 0.637565i
\(713\) −18.9643 12.6715i −0.710218 0.474552i
\(714\) 0.114943 + 0.0219420i 0.00430163 + 0.000821158i
\(715\) 7.16010 + 23.6037i 0.267773 + 0.882728i
\(716\) 27.1447 22.9880i 1.01445 0.859101i
\(717\) 1.68860 2.05757i 0.0630620 0.0768413i
\(718\) 3.32887 + 0.981787i 0.124232 + 0.0366400i
\(719\) 8.63841 20.8550i 0.322158 0.777759i −0.676970 0.736011i \(-0.736707\pi\)
0.999128 0.0417482i \(-0.0132927\pi\)
\(720\) −8.56579 2.31198i −0.319228 0.0861623i
\(721\) −0.0646554 0.156092i −0.00240789 0.00581317i
\(722\) 1.23391 + 11.6082i 0.0459214 + 0.432011i
\(723\) 10.1880 1.00343i 0.378896 0.0373180i
\(724\) 4.48052 + 39.2631i 0.166517 + 1.45920i
\(725\) 0.201380 + 0.107640i 0.00747908 + 0.00399765i
\(726\) 1.95181 + 1.28246i 0.0724385 + 0.0475966i
\(727\) 2.77128 + 13.9322i 0.102781 + 0.516716i 0.997536 + 0.0701580i \(0.0223504\pi\)
−0.894755 + 0.446558i \(0.852650\pi\)
\(728\) −0.0491523 + 0.126904i −0.00182171 + 0.00470339i
\(729\) −0.980785 0.195090i −0.0363254 0.00722557i
\(730\) 26.0512 0.201235i 0.964198 0.00744804i
\(731\) −58.6006 5.77166i −2.16742 0.213472i
\(732\) −17.4128 16.8830i −0.643597 0.624012i
\(733\) −47.2797 14.3421i −1.74631 0.529739i −0.754374 0.656445i \(-0.772059\pi\)
−0.991940 + 0.126706i \(0.959559\pi\)
\(734\) −7.34850 23.5679i −0.271238 0.869906i
\(735\) 10.9786 10.9786i 0.404950 0.404950i
\(736\) −5.94493 + 22.7219i −0.219133 + 0.837541i
\(737\) 10.9377 + 10.9377i 0.402894 + 0.402894i
\(738\) −4.07028 + 7.75852i −0.149829 + 0.285595i
\(739\) −0.0390667 + 0.128786i −0.00143709 + 0.00473746i −0.957656 0.287915i \(-0.907038\pi\)
0.956219 + 0.292653i \(0.0945379\pi\)
\(740\) −4.62521 10.6958i −0.170026 0.393186i
\(741\) −1.00454 + 10.1992i −0.0369025 + 0.374678i
\(742\) 0.0453262 0.0460319i 0.00166398 0.00168989i
\(743\) −3.60569 + 18.1271i −0.132280 + 0.665017i 0.856561 + 0.516045i \(0.172596\pi\)
−0.988841 + 0.148972i \(0.952404\pi\)
\(744\) −8.33062 + 13.1157i −0.305415 + 0.480844i
\(745\) 5.30792 1.05581i 0.194467 0.0386819i
\(746\) 2.44466 + 11.8125i 0.0895054 + 0.432487i
\(747\) −2.61399 + 4.89043i −0.0956408 + 0.178931i
\(748\) −33.4488 + 18.5487i −1.22301 + 0.678209i
\(749\) −0.0224132 0.227565i −0.000818962 0.00831506i
\(750\) −12.3961 10.0139i −0.452640 0.365658i
\(751\) 14.0861 5.83464i 0.514008 0.212909i −0.110575 0.993868i \(-0.535269\pi\)
0.624583 + 0.780959i \(0.285269\pi\)
\(752\) 0.863250 + 27.9300i 0.0314795 + 1.01850i
\(753\) 4.34223 + 1.79861i 0.158240 + 0.0655450i
\(754\) 6.02507 + 11.0657i 0.219420 + 0.402987i
\(755\) 15.4190 + 12.6541i 0.561155 + 0.460528i
\(756\) 0.00938884 + 0.0293128i 0.000341469 + 0.00106610i
\(757\) 39.8453 12.0870i 1.44820 0.439308i 0.534320 0.845283i \(-0.320568\pi\)
0.913884 + 0.405975i \(0.133068\pi\)
\(758\) −14.1269 + 9.59797i −0.513113 + 0.348614i
\(759\) 8.20458 12.2790i 0.297808 0.445700i
\(760\) 10.1121 + 17.9075i 0.366804 + 0.649574i
\(761\) −19.9768 + 13.3480i −0.724157 + 0.483866i −0.862205 0.506559i \(-0.830917\pi\)
0.138048 + 0.990425i \(0.455917\pi\)
\(762\) −4.91306 11.6068i −0.177982 0.420469i
\(763\) 0.0609337 + 0.0742479i 0.00220595 + 0.00268795i
\(764\) 5.59787 30.6062i 0.202524 1.10729i
\(765\) −10.5175 + 5.62171i −0.380260 + 0.203253i
\(766\) −2.95577 + 32.5892i −0.106796 + 1.17749i
\(767\) −21.6593 −0.782072
\(768\) 15.5687 + 3.69014i 0.561785 + 0.133156i
\(769\) 0.538482 0.0194182 0.00970908 0.999953i \(-0.496909\pi\)
0.00970908 + 0.999953i \(0.496909\pi\)
\(770\) 0.0155101 0.171008i 0.000558944 0.00616271i
\(771\) 5.18901 2.77358i 0.186877 0.0998881i
\(772\) 5.17907 28.3164i 0.186399 1.01913i
\(773\)