Properties

Label 690.2.w.b.103.11
Level $690$
Weight $2$
Character 690.103
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [690,2,Mod(7,690)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(690, base_ring=CyclotomicField(44))
 
chi = DirichletCharacter(H, H._module([0, 11, 38]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("690.7");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.w (of order \(44\), degree \(20\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 103.11
Character \(\chi\) \(=\) 690.103
Dual form 690.2.w.b.67.11

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.212565 - 0.977147i) q^{2} +(0.800541 - 0.599278i) q^{3} +(-0.909632 - 0.415415i) q^{4} +(2.11901 + 0.713991i) q^{5} +(-0.415415 - 0.909632i) q^{6} +(-0.254568 + 3.55933i) q^{7} +(-0.599278 + 0.800541i) q^{8} +(0.281733 - 0.959493i) q^{9} +O(q^{10})\) \(q+(0.212565 - 0.977147i) q^{2} +(0.800541 - 0.599278i) q^{3} +(-0.909632 - 0.415415i) q^{4} +(2.11901 + 0.713991i) q^{5} +(-0.415415 - 0.909632i) q^{6} +(-0.254568 + 3.55933i) q^{7} +(-0.599278 + 0.800541i) q^{8} +(0.281733 - 0.959493i) q^{9} +(1.14810 - 1.91882i) q^{10} +(0.417095 - 0.649013i) q^{11} +(-0.977147 + 0.212565i) q^{12} +(4.17776 - 0.298799i) q^{13} +(3.42387 + 1.00534i) q^{14} +(2.12424 - 0.698298i) q^{15} +(0.654861 + 0.755750i) q^{16} +(-2.59477 + 6.95686i) q^{17} +(-0.877679 - 0.479249i) q^{18} +(1.46397 - 3.20566i) q^{19} +(-1.63092 - 1.52974i) q^{20} +(1.92923 + 3.00194i) q^{21} +(-0.545521 - 0.545521i) q^{22} +(1.43885 - 4.57490i) q^{23} +1.00000i q^{24} +(3.98043 + 3.02591i) q^{25} +(0.596076 - 4.14580i) q^{26} +(-0.349464 - 0.936950i) q^{27} +(1.71016 - 3.13193i) q^{28} +(3.37598 - 1.54176i) q^{29} +(-0.230801 - 2.22412i) q^{30} +(0.116712 + 0.811752i) q^{31} +(0.877679 - 0.479249i) q^{32} +(-0.0550370 - 0.769517i) q^{33} +(6.24631 + 4.01426i) q^{34} +(-3.08076 + 7.36050i) q^{35} +(-0.654861 + 0.755750i) q^{36} +(-0.239711 - 0.438998i) q^{37} +(-2.82121 - 2.11193i) q^{38} +(3.16541 - 2.74284i) q^{39} +(-1.84146 + 1.26848i) q^{40} +(-5.21319 + 1.53073i) q^{41} +(3.34343 - 1.24703i) q^{42} +(2.12404 + 2.83739i) q^{43} +(-0.649013 + 0.417095i) q^{44} +(1.28206 - 1.83202i) q^{45} +(-4.16450 - 2.37843i) q^{46} +(6.86950 - 6.86950i) q^{47} +(0.977147 + 0.212565i) q^{48} +(-5.67525 - 0.815977i) q^{49} +(3.80286 - 3.24627i) q^{50} +(2.09187 + 7.12424i) q^{51} +(-3.92435 - 1.46371i) q^{52} +(-12.7971 - 0.915268i) q^{53} +(-0.989821 + 0.142315i) q^{54} +(1.34722 - 1.07746i) q^{55} +(-2.69683 - 2.33682i) q^{56} +(-0.749106 - 3.44359i) q^{57} +(-0.788908 - 3.62655i) q^{58} +(-9.93544 - 8.60910i) q^{59} +(-2.22236 - 0.247245i) q^{60} +(-13.2732 + 1.90840i) q^{61} +(0.818010 + 0.0585052i) q^{62} +(3.34343 + 1.24703i) q^{63} +(-0.281733 - 0.959493i) q^{64} +(9.06607 + 2.34972i) q^{65} +(-0.763630 - 0.109793i) q^{66} +(-8.14432 - 1.77169i) q^{67} +(5.25027 - 5.25027i) q^{68} +(-1.58978 - 4.52467i) q^{69} +(6.53743 + 4.57494i) q^{70} +(11.6677 - 7.49839i) q^{71} +(0.599278 + 0.800541i) q^{72} +(13.3906 - 4.99444i) q^{73} +(-0.479920 + 0.140917i) q^{74} +(4.99986 + 0.0369814i) q^{75} +(-2.66335 + 2.30781i) q^{76} +(2.20387 + 1.64980i) q^{77} +(-2.00730 - 3.67610i) q^{78} +(-3.64915 + 4.21134i) q^{79} +(0.848060 + 2.06901i) q^{80} +(-0.841254 - 0.540641i) q^{81} +(0.387605 + 5.41943i) q^{82} +(1.11600 - 0.609383i) q^{83} +(-0.507839 - 3.53210i) q^{84} +(-10.4655 + 12.8890i) q^{85} +(3.22404 - 1.47237i) q^{86} +(1.77867 - 3.25739i) q^{87} +(0.269606 + 0.722841i) q^{88} +(-0.406608 + 2.82802i) q^{89} +(-1.51763 - 1.64219i) q^{90} +14.9461i q^{91} +(-3.20931 + 3.56376i) q^{92} +(0.579898 + 0.579898i) q^{93} +(-5.25230 - 8.17273i) q^{94} +(5.39099 - 5.74756i) q^{95} +(0.415415 - 0.909632i) q^{96} +(8.07864 + 4.41127i) q^{97} +(-2.00369 + 5.37210i) q^{98} +(-0.505214 - 0.583048i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q + 24 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 240 q + 24 q^{6} - 44 q^{10} + 24 q^{16} - 44 q^{21} + 96 q^{23} + 16 q^{25} + 16 q^{26} + 44 q^{28} - 16 q^{31} + 44 q^{33} + 16 q^{35} - 24 q^{36} + 44 q^{37} - 88 q^{43} + 8 q^{46} + 96 q^{47} - 24 q^{50} - 24 q^{55} + 44 q^{57} - 16 q^{58} + 88 q^{61} + 56 q^{62} - 88 q^{65} + 132 q^{67} - 56 q^{70} + 16 q^{71} + 48 q^{73} + 24 q^{81} - 24 q^{82} + 44 q^{85} - 16 q^{87} + 44 q^{88} - 124 q^{92} + 32 q^{93} + 20 q^{95} - 24 q^{96} - 56 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(1\) \(e\left(\frac{9}{22}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.212565 0.977147i 0.150306 0.690947i
\(3\) 0.800541 0.599278i 0.462193 0.345993i
\(4\) −0.909632 0.415415i −0.454816 0.207708i
\(5\) 2.11901 + 0.713991i 0.947652 + 0.319306i
\(6\) −0.415415 0.909632i −0.169592 0.371356i
\(7\) −0.254568 + 3.55933i −0.0962177 + 1.34530i 0.688406 + 0.725326i \(0.258311\pi\)
−0.784623 + 0.619973i \(0.787144\pi\)
\(8\) −0.599278 + 0.800541i −0.211877 + 0.283034i
\(9\) 0.281733 0.959493i 0.0939109 0.319831i
\(10\) 1.14810 1.91882i 0.363062 0.606783i
\(11\) 0.417095 0.649013i 0.125759 0.195685i −0.772665 0.634814i \(-0.781077\pi\)
0.898424 + 0.439129i \(0.144713\pi\)
\(12\) −0.977147 + 0.212565i −0.282078 + 0.0613623i
\(13\) 4.17776 0.298799i 1.15870 0.0828721i 0.521280 0.853386i \(-0.325455\pi\)
0.637423 + 0.770514i \(0.280000\pi\)
\(14\) 3.42387 + 1.00534i 0.915068 + 0.268688i
\(15\) 2.12424 0.698298i 0.548475 0.180300i
\(16\) 0.654861 + 0.755750i 0.163715 + 0.188937i
\(17\) −2.59477 + 6.95686i −0.629325 + 1.68729i 0.0929416 + 0.995672i \(0.470373\pi\)
−0.722267 + 0.691615i \(0.756900\pi\)
\(18\) −0.877679 0.479249i −0.206871 0.112960i
\(19\) 1.46397 3.20566i 0.335859 0.735428i −0.664066 0.747674i \(-0.731171\pi\)
0.999925 + 0.0122459i \(0.00389808\pi\)
\(20\) −1.63092 1.52974i −0.364685 0.342060i
\(21\) 1.92923 + 3.00194i 0.420993 + 0.655078i
\(22\) −0.545521 0.545521i −0.116305 0.116305i
\(23\) 1.43885 4.57490i 0.300021 0.953933i
\(24\) 1.00000i 0.204124i
\(25\) 3.98043 + 3.02591i 0.796087 + 0.605182i
\(26\) 0.596076 4.14580i 0.116900 0.813059i
\(27\) −0.349464 0.936950i −0.0672544 0.180316i
\(28\) 1.71016 3.13193i 0.323190 0.591878i
\(29\) 3.37598 1.54176i 0.626904 0.286297i −0.0765200 0.997068i \(-0.524381\pi\)
0.703424 + 0.710771i \(0.251654\pi\)
\(30\) −0.230801 2.22412i −0.0421383 0.406068i
\(31\) 0.116712 + 0.811752i 0.0209622 + 0.145795i 0.997615 0.0690308i \(-0.0219907\pi\)
−0.976652 + 0.214826i \(0.931082\pi\)
\(32\) 0.877679 0.479249i 0.155153 0.0847201i
\(33\) −0.0550370 0.769517i −0.00958071 0.133956i
\(34\) 6.24631 + 4.01426i 1.07123 + 0.688440i
\(35\) −3.08076 + 7.36050i −0.520743 + 1.24415i
\(36\) −0.654861 + 0.755750i −0.109143 + 0.125958i
\(37\) −0.239711 0.438998i −0.0394083 0.0721708i 0.857233 0.514929i \(-0.172182\pi\)
−0.896641 + 0.442758i \(0.854000\pi\)
\(38\) −2.82121 2.11193i −0.457660 0.342600i
\(39\) 3.16541 2.74284i 0.506871 0.439206i
\(40\) −1.84146 + 1.26848i −0.291160 + 0.200564i
\(41\) −5.21319 + 1.53073i −0.814163 + 0.239060i −0.662201 0.749327i \(-0.730377\pi\)
−0.151962 + 0.988386i \(0.548559\pi\)
\(42\) 3.34343 1.24703i 0.515902 0.192422i
\(43\) 2.12404 + 2.83739i 0.323914 + 0.432698i 0.932709 0.360629i \(-0.117438\pi\)
−0.608796 + 0.793327i \(0.708347\pi\)
\(44\) −0.649013 + 0.417095i −0.0978424 + 0.0628795i
\(45\) 1.28206 1.83202i 0.191119 0.273102i
\(46\) −4.16450 2.37843i −0.614022 0.350681i
\(47\) 6.86950 6.86950i 1.00202 1.00202i 0.00202218 0.999998i \(-0.499356\pi\)
0.999998 0.00202218i \(-0.000643681\pi\)
\(48\) 0.977147 + 0.212565i 0.141039 + 0.0306812i
\(49\) −5.67525 0.815977i −0.810750 0.116568i
\(50\) 3.80286 3.24627i 0.537806 0.459091i
\(51\) 2.09187 + 7.12424i 0.292920 + 0.997593i
\(52\) −3.92435 1.46371i −0.544210 0.202980i
\(53\) −12.7971 0.915268i −1.75782 0.125722i −0.845179 0.534484i \(-0.820506\pi\)
−0.912641 + 0.408762i \(0.865961\pi\)
\(54\) −0.989821 + 0.142315i −0.134698 + 0.0193666i
\(55\) 1.34722 1.07746i 0.181659 0.145285i
\(56\) −2.69683 2.33682i −0.360379 0.312270i
\(57\) −0.749106 3.44359i −0.0992215 0.456114i
\(58\) −0.788908 3.62655i −0.103589 0.476190i
\(59\) −9.93544 8.60910i −1.29348 1.12081i −0.985547 0.169403i \(-0.945816\pi\)
−0.307937 0.951407i \(-0.599639\pi\)
\(60\) −2.22236 0.247245i −0.286905 0.0319192i
\(61\) −13.2732 + 1.90840i −1.69946 + 0.244345i −0.922717 0.385477i \(-0.874037\pi\)
−0.776739 + 0.629822i \(0.783128\pi\)
\(62\) 0.818010 + 0.0585052i 0.103887 + 0.00743017i
\(63\) 3.34343 + 1.24703i 0.421232 + 0.157112i
\(64\) −0.281733 0.959493i −0.0352166 0.119937i
\(65\) 9.06607 + 2.34972i 1.12451 + 0.291447i
\(66\) −0.763630 0.109793i −0.0939964 0.0135146i
\(67\) −8.14432 1.77169i −0.994987 0.216446i −0.314541 0.949244i \(-0.601851\pi\)
−0.680447 + 0.732798i \(0.738214\pi\)
\(68\) 5.25027 5.25027i 0.636689 0.636689i
\(69\) −1.58978 4.52467i −0.191387 0.544706i
\(70\) 6.53743 + 4.57494i 0.781372 + 0.546810i
\(71\) 11.6677 7.49839i 1.38470 0.889895i 0.385246 0.922814i \(-0.374117\pi\)
0.999458 + 0.0329192i \(0.0104804\pi\)
\(72\) 0.599278 + 0.800541i 0.0706256 + 0.0943447i
\(73\) 13.3906 4.99444i 1.56725 0.584555i 0.592057 0.805896i \(-0.298316\pi\)
0.975196 + 0.221341i \(0.0710434\pi\)
\(74\) −0.479920 + 0.140917i −0.0557896 + 0.0163813i
\(75\) 4.99986 + 0.0369814i 0.577334 + 0.00427025i
\(76\) −2.66335 + 2.30781i −0.305508 + 0.264724i
\(77\) 2.20387 + 1.64980i 0.251154 + 0.188012i
\(78\) −2.00730 3.67610i −0.227282 0.416236i
\(79\) −3.64915 + 4.21134i −0.410561 + 0.473813i −0.922938 0.384948i \(-0.874219\pi\)
0.512377 + 0.858760i \(0.328765\pi\)
\(80\) 0.848060 + 2.06901i 0.0948160 + 0.231322i
\(81\) −0.841254 0.540641i −0.0934726 0.0600712i
\(82\) 0.387605 + 5.41943i 0.0428038 + 0.598476i
\(83\) 1.11600 0.609383i 0.122497 0.0668885i −0.416832 0.908984i \(-0.636860\pi\)
0.539329 + 0.842095i \(0.318678\pi\)
\(84\) −0.507839 3.53210i −0.0554098 0.385383i
\(85\) −10.4655 + 12.8890i −1.13514 + 1.39801i
\(86\) 3.22404 1.47237i 0.347658 0.158770i
\(87\) 1.77867 3.25739i 0.190693 0.349229i
\(88\) 0.269606 + 0.722841i 0.0287401 + 0.0770551i
\(89\) −0.406608 + 2.82802i −0.0431004 + 0.299770i 0.956857 + 0.290559i \(0.0938411\pi\)
−0.999958 + 0.00921112i \(0.997068\pi\)
\(90\) −1.51763 1.64219i −0.159973 0.173102i
\(91\) 14.9461i 1.56678i
\(92\) −3.20931 + 3.56376i −0.334593 + 0.371547i
\(93\) 0.579898 + 0.579898i 0.0601326 + 0.0601326i
\(94\) −5.25230 8.17273i −0.541733 0.842953i
\(95\) 5.39099 5.74756i 0.553104 0.589687i
\(96\) 0.415415 0.909632i 0.0423981 0.0928389i
\(97\) 8.07864 + 4.41127i 0.820261 + 0.447897i 0.833837 0.552011i \(-0.186139\pi\)
−0.0135753 + 0.999908i \(0.504321\pi\)
\(98\) −2.00369 + 5.37210i −0.202403 + 0.542664i
\(99\) −0.505214 0.583048i −0.0507759 0.0585985i
\(100\) −2.36372 4.40600i −0.236372 0.440600i
\(101\) −10.9396 3.21217i −1.08853 0.319623i −0.312247 0.950001i \(-0.601082\pi\)
−0.776288 + 0.630378i \(0.782900\pi\)
\(102\) 7.40609 0.529694i 0.733312 0.0524475i
\(103\) −5.06115 + 1.10098i −0.498690 + 0.108483i −0.454873 0.890556i \(-0.650315\pi\)
−0.0438165 + 0.999040i \(0.513952\pi\)
\(104\) −2.26444 + 3.52354i −0.222046 + 0.345511i
\(105\) 1.94471 + 7.73861i 0.189784 + 0.755211i
\(106\) −3.61458 + 12.3101i −0.351079 + 1.19566i
\(107\) 2.79597 3.73497i 0.270296 0.361074i −0.644770 0.764376i \(-0.723047\pi\)
0.915067 + 0.403303i \(0.132138\pi\)
\(108\) −0.0713392 + 0.997452i −0.00686462 + 0.0959799i
\(109\) 5.31643 + 11.6414i 0.509222 + 1.11504i 0.973361 + 0.229278i \(0.0736363\pi\)
−0.464140 + 0.885762i \(0.653636\pi\)
\(110\) −0.766469 1.54546i −0.0730800 0.147354i
\(111\) −0.454980 0.207783i −0.0431848 0.0197219i
\(112\) −2.85667 + 2.13847i −0.269930 + 0.202067i
\(113\) 1.19034 5.47189i 0.111977 0.514752i −0.886653 0.462435i \(-0.846976\pi\)
0.998631 0.0523168i \(-0.0166605\pi\)
\(114\) −3.52412 −0.330064
\(115\) 6.31538 8.66695i 0.588912 0.808197i
\(116\) −3.71137 −0.344592
\(117\) 0.890316 4.09272i 0.0823097 0.378372i
\(118\) −10.5243 + 7.87838i −0.968839 + 0.725264i
\(119\) −24.1012 11.0066i −2.20935 1.00898i
\(120\) −0.713991 + 2.11901i −0.0651781 + 0.193439i
\(121\) 4.32232 + 9.46455i 0.392938 + 0.860414i
\(122\) −0.956635 + 13.3755i −0.0866097 + 1.21096i
\(123\) −3.25604 + 4.34956i −0.293587 + 0.392186i
\(124\) 0.231049 0.786880i 0.0207488 0.0706639i
\(125\) 6.27412 + 9.25394i 0.561174 + 0.827698i
\(126\) 1.92923 3.00194i 0.171870 0.267434i
\(127\) −9.69108 + 2.10816i −0.859944 + 0.187069i −0.620852 0.783928i \(-0.713213\pi\)
−0.239092 + 0.970997i \(0.576850\pi\)
\(128\) −0.997452 + 0.0713392i −0.0881631 + 0.00630555i
\(129\) 3.40077 + 0.998556i 0.299421 + 0.0879179i
\(130\) 4.22316 8.35942i 0.370395 0.733169i
\(131\) −8.81032 10.1677i −0.769761 0.888352i 0.226564 0.973996i \(-0.427251\pi\)
−0.996326 + 0.0856442i \(0.972705\pi\)
\(132\) −0.269606 + 0.722841i −0.0234662 + 0.0629152i
\(133\) 11.0373 + 6.02682i 0.957054 + 0.522591i
\(134\) −3.46240 + 7.58160i −0.299106 + 0.654951i
\(135\) −0.0715459 2.23492i −0.00615769 0.192352i
\(136\) −4.01426 6.24631i −0.344220 0.535617i
\(137\) 1.17582 + 1.17582i 0.100457 + 0.100457i 0.755549 0.655092i \(-0.227370\pi\)
−0.655092 + 0.755549i \(0.727370\pi\)
\(138\) −4.75920 + 0.591657i −0.405130 + 0.0503652i
\(139\) 8.63710i 0.732589i 0.930499 + 0.366295i \(0.119374\pi\)
−0.930499 + 0.366295i \(0.880626\pi\)
\(140\) 5.86002 5.41555i 0.495262 0.457698i
\(141\) 1.38258 9.61606i 0.116434 0.809818i
\(142\) −4.84687 12.9950i −0.406741 1.09051i
\(143\) 1.54860 2.83605i 0.129500 0.237162i
\(144\) 0.909632 0.415415i 0.0758027 0.0346179i
\(145\) 8.25455 0.856588i 0.685503 0.0711358i
\(146\) −2.03392 14.1462i −0.168329 1.17075i
\(147\) −5.03227 + 2.74783i −0.415054 + 0.226637i
\(148\) 0.0356825 + 0.498906i 0.00293308 + 0.0410098i
\(149\) −15.0757 9.68860i −1.23505 0.793721i −0.250383 0.968147i \(-0.580557\pi\)
−0.984670 + 0.174426i \(0.944193\pi\)
\(150\) 1.09893 4.87774i 0.0897276 0.398266i
\(151\) −11.3167 + 13.0602i −0.920944 + 1.06283i 0.0768898 + 0.997040i \(0.475501\pi\)
−0.997834 + 0.0657863i \(0.979044\pi\)
\(152\) 1.68893 + 3.09305i 0.136991 + 0.250879i
\(153\) 5.94402 + 4.44964i 0.480546 + 0.359732i
\(154\) 2.08056 1.80281i 0.167656 0.145275i
\(155\) −0.332269 + 1.80345i −0.0266885 + 0.144856i
\(156\) −4.01877 + 1.18002i −0.321759 + 0.0944771i
\(157\) 0.316580 0.118078i 0.0252658 0.00942366i −0.336800 0.941576i \(-0.609344\pi\)
0.362065 + 0.932153i \(0.382072\pi\)
\(158\) 3.33941 + 4.46094i 0.265670 + 0.354893i
\(159\) −10.7931 + 6.93632i −0.855950 + 0.550086i
\(160\) 2.20199 0.388880i 0.174083 0.0307437i
\(161\) 15.9173 + 6.28596i 1.25446 + 0.495403i
\(162\) −0.707107 + 0.707107i −0.0555556 + 0.0555556i
\(163\) −2.16070 0.470032i −0.169239 0.0368157i 0.127147 0.991884i \(-0.459418\pi\)
−0.296386 + 0.955068i \(0.595782\pi\)
\(164\) 5.37797 + 0.773235i 0.419949 + 0.0603795i
\(165\) 0.432804 1.66991i 0.0336938 0.130003i
\(166\) −0.358234 1.22003i −0.0278043 0.0946928i
\(167\) 16.2865 + 6.07456i 1.26029 + 0.470064i 0.888766 0.458360i \(-0.151563\pi\)
0.371523 + 0.928424i \(0.378836\pi\)
\(168\) −3.55933 0.254568i −0.274608 0.0196403i
\(169\) 4.49674 0.646534i 0.345903 0.0497334i
\(170\) 10.3699 + 12.9661i 0.795333 + 0.994453i
\(171\) −2.66335 2.30781i −0.203672 0.176483i
\(172\) −0.753404 3.46334i −0.0574465 0.264077i
\(173\) −0.583359 2.68166i −0.0443520 0.203883i 0.949639 0.313347i \(-0.101450\pi\)
−0.993991 + 0.109464i \(0.965087\pi\)
\(174\) −2.80487 2.43043i −0.212636 0.184250i
\(175\) −11.7835 + 13.3974i −0.890749 + 1.01275i
\(176\) 0.763630 0.109793i 0.0575608 0.00827600i
\(177\) −13.1130 0.937858i −0.985631 0.0704937i
\(178\) 2.67696 + 0.998455i 0.200647 + 0.0748374i
\(179\) −0.408892 1.39256i −0.0305620 0.104085i 0.942800 0.333360i \(-0.108183\pi\)
−0.973362 + 0.229275i \(0.926364\pi\)
\(180\) −1.92726 + 1.13388i −0.143649 + 0.0845143i
\(181\) −6.23195 0.896019i −0.463217 0.0666005i −0.0932444 0.995643i \(-0.529724\pi\)
−0.369972 + 0.929043i \(0.620633\pi\)
\(182\) 14.6045 + 3.17702i 1.08256 + 0.235496i
\(183\) −9.48207 + 9.48207i −0.700935 + 0.700935i
\(184\) 2.80012 + 3.89349i 0.206428 + 0.287032i
\(185\) −0.194510 1.10139i −0.0143007 0.0809761i
\(186\) 0.689912 0.443379i 0.0505868 0.0325102i
\(187\) 3.43282 + 4.58571i 0.251033 + 0.335341i
\(188\) −9.10242 + 3.39503i −0.663862 + 0.247608i
\(189\) 3.42387 1.00534i 0.249050 0.0731277i
\(190\) −4.47028 6.48952i −0.324308 0.470799i
\(191\) −13.6688 + 11.8441i −0.989038 + 0.857006i −0.989724 0.142994i \(-0.954327\pi\)
0.000685784 1.00000i \(0.499782\pi\)
\(192\) −0.800541 0.599278i −0.0577741 0.0432491i
\(193\) 6.89677 + 12.6305i 0.496441 + 0.909163i 0.999004 + 0.0446228i \(0.0142086\pi\)
−0.502563 + 0.864540i \(0.667610\pi\)
\(194\) 6.02770 6.95633i 0.432763 0.499436i
\(195\) 8.66590 3.55205i 0.620578 0.254367i
\(196\) 4.82342 + 3.09982i 0.344530 + 0.221416i
\(197\) −0.502464 7.02537i −0.0357991 0.500537i −0.983444 0.181211i \(-0.941998\pi\)
0.947645 0.319326i \(-0.103456\pi\)
\(198\) −0.677114 + 0.369732i −0.0481204 + 0.0262757i
\(199\) −1.66824 11.6029i −0.118259 0.822507i −0.959472 0.281804i \(-0.909067\pi\)
0.841213 0.540703i \(-0.181842\pi\)
\(200\) −4.80775 + 1.37314i −0.339959 + 0.0970957i
\(201\) −7.58160 + 3.46240i −0.534765 + 0.244219i
\(202\) −5.46415 + 10.0068i −0.384456 + 0.704079i
\(203\) 4.62820 + 12.4087i 0.324836 + 0.870920i
\(204\) 1.05669 7.34943i 0.0739830 0.514563i
\(205\) −12.1397 0.478530i −0.847876 0.0334220i
\(206\) 5.17951i 0.360874i
\(207\) −3.98421 2.66947i −0.276922 0.185541i
\(208\) 2.96167 + 2.96167i 0.205355 + 0.205355i
\(209\) −1.46989 2.28720i −0.101675 0.158209i
\(210\) 7.97514 0.255306i 0.550337 0.0176178i
\(211\) 8.05183 17.6311i 0.554311 1.21377i −0.400428 0.916328i \(-0.631139\pi\)
0.954739 0.297444i \(-0.0961341\pi\)
\(212\) 11.2605 + 6.14867i 0.773371 + 0.422293i
\(213\) 4.84687 12.9950i 0.332102 0.890401i
\(214\) −3.05529 3.52600i −0.208855 0.241032i
\(215\) 2.47501 + 7.52902i 0.168794 + 0.513475i
\(216\) 0.959493 + 0.281733i 0.0652852 + 0.0191695i
\(217\) −2.91900 + 0.208771i −0.198155 + 0.0141723i
\(218\) 12.5054 2.72038i 0.846973 0.184248i
\(219\) 7.72668 12.0230i 0.522121 0.812436i
\(220\) −1.67307 + 0.420441i −0.112798 + 0.0283461i
\(221\) −8.76164 + 29.8394i −0.589372 + 2.00722i
\(222\) −0.299747 + 0.400415i −0.0201177 + 0.0268741i
\(223\) 1.86391 26.0609i 0.124817 1.74516i −0.420822 0.907143i \(-0.638258\pi\)
0.545639 0.838021i \(-0.316287\pi\)
\(224\) 1.48237 + 3.24595i 0.0990453 + 0.216879i
\(225\) 4.02476 2.96670i 0.268317 0.197780i
\(226\) −5.09381 2.32627i −0.338835 0.154741i
\(227\) −15.8879 + 11.8935i −1.05452 + 0.789400i −0.978196 0.207683i \(-0.933408\pi\)
−0.0763192 + 0.997083i \(0.524317\pi\)
\(228\) −0.749106 + 3.44359i −0.0496108 + 0.228057i
\(229\) 5.07170 0.335147 0.167574 0.985860i \(-0.446407\pi\)
0.167574 + 0.985860i \(0.446407\pi\)
\(230\) −7.12645 8.01335i −0.469904 0.528384i
\(231\) 2.75297 0.181132
\(232\) −0.788908 + 3.62655i −0.0517944 + 0.238095i
\(233\) −7.17324 + 5.36982i −0.469935 + 0.351789i −0.807850 0.589388i \(-0.799369\pi\)
0.337916 + 0.941176i \(0.390278\pi\)
\(234\) −3.80993 1.73994i −0.249063 0.113743i
\(235\) 19.4613 9.65181i 1.26952 0.629615i
\(236\) 5.46124 + 11.9584i 0.355496 + 0.778429i
\(237\) −0.397530 + 5.55820i −0.0258224 + 0.361044i
\(238\) −15.8782 + 21.2108i −1.02923 + 1.37489i
\(239\) 6.49897 22.1334i 0.420383 1.43169i −0.428706 0.903444i \(-0.641030\pi\)
0.849089 0.528250i \(-0.177151\pi\)
\(240\) 1.91882 + 1.14810i 0.123859 + 0.0741097i
\(241\) 1.65004 2.56751i 0.106288 0.165388i −0.784035 0.620716i \(-0.786842\pi\)
0.890324 + 0.455329i \(0.150478\pi\)
\(242\) 10.1670 2.21170i 0.653562 0.142174i
\(243\) −0.997452 + 0.0713392i −0.0639866 + 0.00457641i
\(244\) 12.8665 + 3.77794i 0.823692 + 0.241858i
\(245\) −11.4433 5.78114i −0.731087 0.369344i
\(246\) 3.55804 + 4.10619i 0.226852 + 0.261801i
\(247\) 5.15829 13.8299i 0.328214 0.879975i
\(248\) −0.719784 0.393032i −0.0457064 0.0249576i
\(249\) 0.528216 1.15663i 0.0334743 0.0732985i
\(250\) 10.3761 4.16367i 0.656243 0.263334i
\(251\) −10.6800 16.6183i −0.674113 1.04894i −0.994809 0.101758i \(-0.967553\pi\)
0.320696 0.947182i \(-0.396083\pi\)
\(252\) −2.52325 2.52325i −0.158950 0.158950i
\(253\) −2.36903 2.84200i −0.148940 0.178675i
\(254\) 9.91773i 0.622294i
\(255\) −0.653950 + 16.5899i −0.0409520 + 1.03890i
\(256\) −0.142315 + 0.989821i −0.00889468 + 0.0618638i
\(257\) 6.83937 + 18.3370i 0.426628 + 1.14383i 0.955463 + 0.295109i \(0.0953561\pi\)
−0.528836 + 0.848724i \(0.677371\pi\)
\(258\) 1.69862 3.11079i 0.105752 0.193669i
\(259\) 1.62356 0.741455i 0.100883 0.0460718i
\(260\) −7.27068 5.90357i −0.450909 0.366124i
\(261\) −0.528183 3.67359i −0.0326937 0.227390i
\(262\) −11.8081 + 6.44769i −0.729504 + 0.398340i
\(263\) 0.382593 + 5.34935i 0.0235917 + 0.329855i 0.995518 + 0.0945704i \(0.0301477\pi\)
−0.971926 + 0.235285i \(0.924398\pi\)
\(264\) 0.649013 + 0.417095i 0.0399440 + 0.0256704i
\(265\) −26.4638 11.0765i −1.62566 0.680423i
\(266\) 8.23523 9.50396i 0.504934 0.582725i
\(267\) 1.36926 + 2.50762i 0.0837976 + 0.153464i
\(268\) 6.67235 + 4.99486i 0.407579 + 0.305110i
\(269\) 5.65650 4.90139i 0.344883 0.298843i −0.465144 0.885235i \(-0.653998\pi\)
0.810027 + 0.586392i \(0.199452\pi\)
\(270\) −2.19906 0.405156i −0.133830 0.0246570i
\(271\) 24.7782 7.27553i 1.50517 0.441957i 0.577822 0.816163i \(-0.303903\pi\)
0.927346 + 0.374206i \(0.122085\pi\)
\(272\) −6.95686 + 2.59477i −0.421822 + 0.157331i
\(273\) 8.95685 + 11.9650i 0.542094 + 0.724152i
\(274\) 1.39889 0.899012i 0.0845100 0.0543113i
\(275\) 3.62408 1.32126i 0.218540 0.0796750i
\(276\) −0.433504 + 4.77620i −0.0260938 + 0.287493i
\(277\) −16.5576 + 16.5576i −0.994852 + 0.994852i −0.999987 0.00513451i \(-0.998366\pi\)
0.00513451 + 0.999987i \(0.498366\pi\)
\(278\) 8.43972 + 1.83595i 0.506181 + 0.110113i
\(279\) 0.811752 + 0.116712i 0.0485983 + 0.00698739i
\(280\) −4.04615 6.87726i −0.241804 0.410995i
\(281\) −6.22461 21.1991i −0.371329 1.26463i −0.907332 0.420415i \(-0.861884\pi\)
0.536002 0.844216i \(-0.319934\pi\)
\(282\) −9.10242 3.39503i −0.542041 0.202171i
\(283\) −0.0347524 0.00248554i −0.00206582 0.000147750i 0.0703062 0.997525i \(-0.477602\pi\)
−0.0723721 + 0.997378i \(0.523057\pi\)
\(284\) −13.7283 + 1.97383i −0.814623 + 0.117125i
\(285\) 0.871322 7.83186i 0.0516127 0.463919i
\(286\) −2.44206 2.11606i −0.144402 0.125125i
\(287\) −4.12125 18.9451i −0.243270 1.11829i
\(288\) −0.212565 0.977147i −0.0125255 0.0575789i
\(289\) −28.8173 24.9703i −1.69513 1.46884i
\(290\) 0.917618 8.24799i 0.0538844 0.484338i
\(291\) 9.11086 1.30994i 0.534088 0.0767903i
\(292\) −14.2553 1.01956i −0.834228 0.0596652i
\(293\) 12.6939 + 4.73460i 0.741588 + 0.276598i 0.691728 0.722158i \(-0.256850\pi\)
0.0498602 + 0.998756i \(0.484122\pi\)
\(294\) 1.61534 + 5.50136i 0.0942088 + 0.320846i
\(295\) −14.9065 25.3366i −0.867890 1.47515i
\(296\) 0.495090 + 0.0711831i 0.0287765 + 0.00413744i
\(297\) −0.753852 0.163991i −0.0437429 0.00951570i
\(298\) −12.6718 + 12.6718i −0.734055 + 0.734055i
\(299\) 4.64420 19.5428i 0.268581 1.13019i
\(300\) −4.53267 2.11066i −0.261694 0.121859i
\(301\) −10.6399 + 6.83786i −0.613274 + 0.394127i
\(302\) 10.3562 + 13.8343i 0.595933 + 0.796073i
\(303\) −10.6826 + 3.98441i −0.613700 + 0.228898i
\(304\) 3.38137 0.992860i 0.193935 0.0569444i
\(305\) −29.4886 5.43301i −1.68851 0.311093i
\(306\) 5.61145 4.86235i 0.320785 0.277962i
\(307\) 0.163368 + 0.122296i 0.00932391 + 0.00697979i 0.603929 0.797038i \(-0.293601\pi\)
−0.594606 + 0.804018i \(0.702692\pi\)
\(308\) −1.31936 2.41623i −0.0751775 0.137677i
\(309\) −3.39186 + 3.91442i −0.192956 + 0.222683i
\(310\) 1.69160 + 0.708025i 0.0960766 + 0.0402131i
\(311\) 15.4598 + 9.93541i 0.876644 + 0.563385i 0.899778 0.436347i \(-0.143728\pi\)
−0.0231339 + 0.999732i \(0.507364\pi\)
\(312\) 0.298799 + 4.17776i 0.0169162 + 0.236519i
\(313\) 17.3205 9.45770i 0.979011 0.534581i 0.0917174 0.995785i \(-0.470764\pi\)
0.887294 + 0.461204i \(0.152583\pi\)
\(314\) −0.0480858 0.334444i −0.00271364 0.0188738i
\(315\) 6.19440 + 5.02966i 0.349015 + 0.283389i
\(316\) 5.06883 2.31486i 0.285144 0.130221i
\(317\) −8.78732 + 16.0928i −0.493545 + 0.903861i 0.505610 + 0.862762i \(0.331268\pi\)
−0.999155 + 0.0410984i \(0.986914\pi\)
\(318\) 4.48356 + 12.0209i 0.251426 + 0.674098i
\(319\) 0.407484 2.83411i 0.0228147 0.158680i
\(320\) 0.0880740 2.23433i 0.00492349 0.124903i
\(321\) 4.66556i 0.260406i
\(322\) 9.52577 14.2173i 0.530850 0.792301i
\(323\) 18.5026 + 18.5026i 1.02951 + 1.02951i
\(324\) 0.540641 + 0.841254i 0.0300356 + 0.0467363i
\(325\) 17.5335 + 11.4522i 0.972581 + 0.635253i
\(326\) −0.918581 + 2.01141i −0.0508755 + 0.111402i
\(327\) 11.2324 + 6.13337i 0.621154 + 0.339176i
\(328\) 1.89873 5.09070i 0.104840 0.281087i
\(329\) 22.7020 + 26.1996i 1.25160 + 1.44443i
\(330\) −1.53975 0.777879i −0.0847605 0.0428208i
\(331\) −16.4708 4.83625i −0.905315 0.265824i −0.204247 0.978919i \(-0.565475\pi\)
−0.701068 + 0.713095i \(0.747293\pi\)
\(332\) −1.26830 + 0.0907105i −0.0696069 + 0.00497838i
\(333\) −0.488750 + 0.106321i −0.0267833 + 0.00582636i
\(334\) 9.39769 14.6231i 0.514219 0.800140i
\(335\) −15.9930 9.56920i −0.873789 0.522821i
\(336\) −1.00534 + 3.42387i −0.0548458 + 0.186788i
\(337\) 10.3298 13.7990i 0.562699 0.751678i −0.425482 0.904967i \(-0.639895\pi\)
0.988181 + 0.153289i \(0.0489864\pi\)
\(338\) 0.324093 4.53141i 0.0176283 0.246476i
\(339\) −2.32627 5.09381i −0.126345 0.276658i
\(340\) 14.8740 7.37675i 0.806658 0.400061i
\(341\) 0.575518 + 0.262830i 0.0311660 + 0.0142331i
\(342\) −2.82121 + 2.11193i −0.152553 + 0.114200i
\(343\) −0.960586 + 4.41574i −0.0518668 + 0.238428i
\(344\) −3.54434 −0.191098
\(345\) −0.138186 10.7229i −0.00743969 0.577302i
\(346\) −2.74438 −0.147539
\(347\) 1.66976 7.67574i 0.0896372 0.412055i −0.910361 0.413814i \(-0.864196\pi\)
0.999998 + 0.00175898i \(0.000559902\pi\)
\(348\) −2.97110 + 2.22414i −0.159268 + 0.119226i
\(349\) −0.157551 0.0719512i −0.00843352 0.00385146i 0.411194 0.911548i \(-0.365112\pi\)
−0.419627 + 0.907696i \(0.637839\pi\)
\(350\) 10.5864 + 14.3620i 0.565868 + 0.767682i
\(351\) −1.73994 3.80993i −0.0928710 0.203359i
\(352\) 0.0550370 0.769517i 0.00293348 0.0410154i
\(353\) 17.0231 22.7401i 0.906046 1.21034i −0.0710366 0.997474i \(-0.522631\pi\)
0.977082 0.212862i \(-0.0682784\pi\)
\(354\) −3.70379 + 12.6139i −0.196854 + 0.670423i
\(355\) 30.0778 7.55854i 1.59637 0.401166i
\(356\) 1.54467 2.40355i 0.0818672 0.127388i
\(357\) −25.8900 + 5.63203i −1.37025 + 0.298079i
\(358\) −1.44765 + 0.103538i −0.0765108 + 0.00547216i
\(359\) 26.0286 + 7.64270i 1.37374 + 0.403366i 0.883586 0.468270i \(-0.155122\pi\)
0.490154 + 0.871636i \(0.336941\pi\)
\(360\) 0.698298 + 2.12424i 0.0368036 + 0.111957i
\(361\) 4.30935 + 4.97325i 0.226808 + 0.261750i
\(362\) −2.20024 + 5.89906i −0.115642 + 0.310048i
\(363\) 9.13209 + 4.98650i 0.479310 + 0.261723i
\(364\) 6.20883 13.5954i 0.325431 0.712595i
\(365\) 31.9409 1.02251i 1.67186 0.0535208i
\(366\) 7.24982 + 11.2809i 0.378954 + 0.589664i
\(367\) −13.3702 13.3702i −0.697917 0.697917i 0.266044 0.963961i \(-0.414283\pi\)
−0.963961 + 0.266044i \(0.914283\pi\)
\(368\) 4.39973 1.90851i 0.229352 0.0994880i
\(369\) 5.43327i 0.282845i
\(370\) −1.11757 0.0440529i −0.0580997 0.00229020i
\(371\) 6.51548 45.3161i 0.338267 2.35270i
\(372\) −0.286596 0.768392i −0.0148593 0.0398393i
\(373\) 8.08448 14.8056i 0.418598 0.766605i −0.580257 0.814433i \(-0.697048\pi\)
0.998856 + 0.0478277i \(0.0152298\pi\)
\(374\) 5.21062 2.37961i 0.269435 0.123047i
\(375\) 10.5684 + 3.64822i 0.545748 + 0.188393i
\(376\) 1.38258 + 9.61606i 0.0713012 + 0.495911i
\(377\) 13.6434 7.44984i 0.702669 0.383686i
\(378\) −0.254568 3.55933i −0.0130936 0.183072i
\(379\) 10.4881 + 6.74028i 0.538736 + 0.346225i 0.781545 0.623849i \(-0.214432\pi\)
−0.242808 + 0.970074i \(0.578069\pi\)
\(380\) −7.29144 + 2.98867i −0.374043 + 0.153315i
\(381\) −6.49473 + 7.49532i −0.332735 + 0.383997i
\(382\) 8.66788 + 15.8740i 0.443487 + 0.812186i
\(383\) −16.1884 12.1185i −0.827187 0.619224i 0.0995092 0.995037i \(-0.468273\pi\)
−0.926696 + 0.375813i \(0.877364\pi\)
\(384\) −0.755750 + 0.654861i −0.0385667 + 0.0334182i
\(385\) 3.49209 + 5.06948i 0.177973 + 0.258365i
\(386\) 13.8079 4.05436i 0.702802 0.206361i
\(387\) 3.32087 1.23862i 0.168809 0.0629626i
\(388\) −5.51608 7.36862i −0.280037 0.374085i
\(389\) −4.11210 + 2.64269i −0.208492 + 0.133989i −0.640720 0.767775i \(-0.721364\pi\)
0.432228 + 0.901764i \(0.357728\pi\)
\(390\) −1.62880 9.22290i −0.0824775 0.467020i
\(391\) 28.0934 + 21.8807i 1.42075 + 1.10656i
\(392\) 4.05427 4.05427i 0.204772 0.204772i
\(393\) −13.1463 2.85980i −0.663142 0.144258i
\(394\) −6.97162 1.00237i −0.351225 0.0504986i
\(395\) −10.7394 + 6.31843i −0.540360 + 0.317915i
\(396\) 0.217352 + 0.740233i 0.0109223 + 0.0371981i
\(397\) 3.72391 + 1.38895i 0.186898 + 0.0697093i 0.441171 0.897423i \(-0.354563\pi\)
−0.254273 + 0.967133i \(0.581836\pi\)
\(398\) −11.6923 0.836253i −0.586084 0.0419176i
\(399\) 12.4475 1.78969i 0.623157 0.0895964i
\(400\) 0.319799 + 4.98976i 0.0159899 + 0.249488i
\(401\) −4.35961 3.77763i −0.217709 0.188646i 0.539178 0.842192i \(-0.318735\pi\)
−0.756887 + 0.653546i \(0.773280\pi\)
\(402\) 1.77169 + 8.14432i 0.0883638 + 0.406202i
\(403\) 0.730148 + 3.35644i 0.0363713 + 0.167196i
\(404\) 8.61666 + 7.46638i 0.428695 + 0.371466i
\(405\) −1.39661 1.74627i −0.0693984 0.0867730i
\(406\) 13.1089 1.88478i 0.650584 0.0935399i
\(407\) −0.384898 0.0275284i −0.0190787 0.00136453i
\(408\) −6.95686 2.59477i −0.344416 0.128460i
\(409\) 4.17525 + 14.2196i 0.206453 + 0.703114i 0.995994 + 0.0894168i \(0.0285003\pi\)
−0.789541 + 0.613697i \(0.789682\pi\)
\(410\) −3.04808 + 11.7606i −0.150534 + 0.580814i
\(411\) 1.64594 + 0.236650i 0.0811881 + 0.0116731i
\(412\) 5.06115 + 1.10098i 0.249345 + 0.0542416i
\(413\) 33.1719 33.1719i 1.63228 1.63228i
\(414\) −3.45537 + 3.32573i −0.169822 + 0.163451i
\(415\) 2.79992 0.494476i 0.137443 0.0242729i
\(416\) 3.52354 2.26444i 0.172756 0.111023i
\(417\) 5.17602 + 6.91436i 0.253471 + 0.338597i
\(418\) −2.54738 + 0.950124i −0.124596 + 0.0464721i
\(419\) −18.3736 + 5.39497i −0.897608 + 0.263562i −0.697816 0.716277i \(-0.745845\pi\)
−0.199792 + 0.979838i \(0.564027\pi\)
\(420\) 1.44577 7.84715i 0.0705462 0.382902i
\(421\) 4.25106 3.68357i 0.207184 0.179526i −0.545087 0.838379i \(-0.683504\pi\)
0.752272 + 0.658853i \(0.228958\pi\)
\(422\) −15.5166 11.6156i −0.755336 0.565437i
\(423\) −4.65588 8.52660i −0.226377 0.414578i
\(424\) 8.40174 9.69612i 0.408025 0.470885i
\(425\) −31.3792 + 19.8398i −1.52211 + 0.962370i
\(426\) −11.6677 7.49839i −0.565303 0.363298i
\(427\) −3.41367 47.7294i −0.165199 2.30979i
\(428\) −4.09486 + 2.23597i −0.197933 + 0.108079i
\(429\) −0.459863 3.19842i −0.0222024 0.154421i
\(430\) 7.88305 0.818038i 0.380155 0.0394493i
\(431\) −24.7401 + 11.2984i −1.19169 + 0.544226i −0.909730 0.415201i \(-0.863711\pi\)
−0.281958 + 0.959427i \(0.590984\pi\)
\(432\) 0.479249 0.877679i 0.0230579 0.0422274i
\(433\) −5.04736 13.5325i −0.242561 0.650331i 0.757436 0.652909i \(-0.226452\pi\)
−0.999997 + 0.00257898i \(0.999179\pi\)
\(434\) −0.416479 + 2.89667i −0.0199916 + 0.139045i
\(435\) 6.09477 5.63250i 0.292222 0.270058i
\(436\) 12.7979i 0.612907i
\(437\) −12.5591 11.3100i −0.600784 0.541030i
\(438\) −10.1058 10.1058i −0.482872 0.482872i
\(439\) −4.88395 7.59957i −0.233098 0.362708i 0.704924 0.709283i \(-0.250981\pi\)
−0.938022 + 0.346575i \(0.887345\pi\)
\(440\) 0.0551964 + 1.72421i 0.00263139 + 0.0821983i
\(441\) −2.38183 + 5.21547i −0.113420 + 0.248356i
\(442\) 27.2951 + 14.9042i 1.29829 + 0.708922i
\(443\) 8.14253 21.8310i 0.386863 1.03722i −0.586900 0.809659i \(-0.699652\pi\)
0.973764 0.227562i \(-0.0730753\pi\)
\(444\) 0.327549 + 0.378011i 0.0155448 + 0.0179396i
\(445\) −2.88079 + 5.70230i −0.136563 + 0.270315i
\(446\) −25.0691 7.36095i −1.18706 0.348551i
\(447\) −17.8749 + 1.27844i −0.845455 + 0.0604681i
\(448\) 3.48687 0.758522i 0.164739 0.0358368i
\(449\) −9.17913 + 14.2830i −0.433190 + 0.674057i −0.987386 0.158329i \(-0.949389\pi\)
0.554196 + 0.832386i \(0.313026\pi\)
\(450\) −2.04338 4.56340i −0.0963258 0.215121i
\(451\) −1.18093 + 4.02188i −0.0556079 + 0.189383i
\(452\) −3.35587 + 4.48292i −0.157847 + 0.210859i
\(453\) −1.23282 + 17.2371i −0.0579231 + 0.809871i
\(454\) 8.24450 + 18.0529i 0.386934 + 0.847266i
\(455\) −10.6714 + 31.6710i −0.500281 + 1.48476i
\(456\) 3.20566 + 1.46397i 0.150119 + 0.0685568i
\(457\) 19.9780 14.9554i 0.934532 0.699582i −0.0193342 0.999813i \(-0.506155\pi\)
0.953867 + 0.300231i \(0.0970638\pi\)
\(458\) 1.07807 4.95579i 0.0503748 0.231569i
\(459\) 7.42501 0.346570
\(460\) −9.34505 + 5.26023i −0.435715 + 0.245259i
\(461\) −33.0821 −1.54079 −0.770394 0.637568i \(-0.779940\pi\)
−0.770394 + 0.637568i \(0.779940\pi\)
\(462\) 0.585187 2.69006i 0.0272254 0.125153i
\(463\) −7.11887 + 5.32912i −0.330842 + 0.247665i −0.751765 0.659431i \(-0.770797\pi\)
0.420923 + 0.907096i \(0.361706\pi\)
\(464\) 3.37598 + 1.54176i 0.156726 + 0.0715743i
\(465\) 0.814770 + 1.64285i 0.0377841 + 0.0761855i
\(466\) 3.72232 + 8.15075i 0.172433 + 0.377576i
\(467\) 0.830751 11.6154i 0.0384426 0.537498i −0.941344 0.337450i \(-0.890436\pi\)
0.979786 0.200048i \(-0.0641098\pi\)
\(468\) −2.51004 + 3.35301i −0.116026 + 0.154993i
\(469\) 8.37930 28.5373i 0.386920 1.31773i
\(470\) −5.29443 21.0682i −0.244214 0.971804i
\(471\) 0.182673 0.284245i 0.00841715 0.0130973i
\(472\) 12.8460 2.79448i 0.591286 0.128626i
\(473\) 2.72743 0.195070i 0.125407 0.00896932i
\(474\) 5.34668 + 1.56993i 0.245581 + 0.0721091i
\(475\) 15.5273 8.33005i 0.712440 0.382209i
\(476\) 17.3509 + 20.0240i 0.795276 + 0.917798i
\(477\) −4.48356 + 12.0209i −0.205288 + 0.550399i
\(478\) −20.2462 11.0552i −0.926038 0.505655i
\(479\) −5.33800 + 11.6886i −0.243900 + 0.534065i −0.991504 0.130079i \(-0.958477\pi\)
0.747604 + 0.664145i \(0.231204\pi\)
\(480\) 1.52974 1.63092i 0.0698227 0.0744410i
\(481\) −1.13263 1.76240i −0.0516434 0.0803587i
\(482\) −2.15809 2.15809i −0.0982985 0.0982985i
\(483\) 16.5095 4.50670i 0.751207 0.205062i
\(484\) 10.4048i 0.472946i
\(485\) 13.9691 + 15.1156i 0.634306 + 0.686365i
\(486\) −0.142315 + 0.989821i −0.00645553 + 0.0448992i
\(487\) 10.2234 + 27.4099i 0.463265 + 1.24206i 0.933199 + 0.359359i \(0.117005\pi\)
−0.469935 + 0.882701i \(0.655723\pi\)
\(488\) 6.42657 11.7694i 0.290917 0.532775i
\(489\) −2.01141 + 0.918581i −0.0909591 + 0.0415396i
\(490\) −8.08148 + 9.95294i −0.365084 + 0.449628i
\(491\) −0.557703 3.87891i −0.0251688 0.175053i 0.973360 0.229284i \(-0.0736383\pi\)
−0.998528 + 0.0542310i \(0.982729\pi\)
\(492\) 4.76867 2.60389i 0.214988 0.117392i
\(493\) 1.96589 + 27.4867i 0.0885392 + 1.23794i
\(494\) −12.4174 7.98016i −0.558684 0.359044i
\(495\) −0.654264 1.59620i −0.0294070 0.0717441i
\(496\) −0.537051 + 0.619790i −0.0241143 + 0.0278294i
\(497\) 23.7190 + 43.4381i 1.06394 + 1.94846i
\(498\) −1.01792 0.762004i −0.0456140 0.0341462i
\(499\) −10.7170 + 9.28633i −0.479759 + 0.415713i −0.860877 0.508813i \(-0.830084\pi\)
0.381118 + 0.924526i \(0.375539\pi\)
\(500\) −1.86292 11.0240i −0.0833121 0.493010i
\(501\) 16.6784 4.89721i 0.745135 0.218791i
\(502\) −18.5088 + 6.90341i −0.826086 + 0.308114i
\(503\) −13.0906 17.4869i −0.583679 0.779704i 0.407361 0.913267i \(-0.366449\pi\)
−0.991040 + 0.133563i \(0.957358\pi\)
\(504\) −3.00194 + 1.92923i −0.133717 + 0.0859348i
\(505\) −20.8878 14.6174i −0.929494 0.650467i
\(506\) −3.28063 + 1.71078i −0.145842 + 0.0760535i
\(507\) 3.21237 3.21237i 0.142667 0.142667i
\(508\) 9.69108 + 2.10816i 0.429972 + 0.0935347i
\(509\) −30.8446 4.43479i −1.36716 0.196568i −0.580656 0.814149i \(-0.697204\pi\)
−0.786507 + 0.617581i \(0.788113\pi\)
\(510\) 16.0718 + 4.16545i 0.711671 + 0.184449i
\(511\) 14.3680 + 48.9330i 0.635604 + 2.16467i
\(512\) 0.936950 + 0.349464i 0.0414077 + 0.0154443i
\(513\) −3.51514 0.251408i −0.155197 0.0110999i
\(514\) 19.3718 2.78524i 0.854454 0.122852i
\(515\) −11.5107 1.28061i −0.507223 0.0564304i
\(516\) −2.67863 2.32105i −0.117920 0.102178i
\(517\) −1.59316 7.32363i −0.0700671 0.322093i
\(518\) −0.379398 1.74406i −0.0166698 0.0766298i
\(519\) −2.07406 1.79718i −0.0910412 0.0788876i
\(520\) −7.31415 + 5.84963i −0.320747 + 0.256523i
\(521\) 10.5096 1.51105i 0.460433 0.0662003i 0.0918047 0.995777i \(-0.470736\pi\)
0.368629 + 0.929577i \(0.379827\pi\)
\(522\) −3.70191 0.264766i −0.162028 0.0115885i
\(523\) 24.6677 + 9.20056i 1.07864 + 0.402312i 0.825085 0.565008i \(-0.191127\pi\)
0.253556 + 0.967321i \(0.418400\pi\)
\(524\) 3.79035 + 12.9088i 0.165582 + 0.563922i
\(525\) −1.40443 + 17.7867i −0.0612945 + 0.776277i
\(526\) 5.30843 + 0.763237i 0.231459 + 0.0332787i
\(527\) −5.95009 1.29436i −0.259190 0.0563833i
\(528\) 0.545521 0.545521i 0.0237408 0.0237408i
\(529\) −18.8594 13.1652i −0.819975 0.572400i
\(530\) −16.4486 + 23.5045i −0.714483 + 1.02097i
\(531\) −11.0595 + 7.10752i −0.479942 + 0.308440i
\(532\) −7.53624 10.0672i −0.326738 0.436470i
\(533\) −21.3221 + 7.95272i −0.923561 + 0.344471i
\(534\) 2.74137 0.804939i 0.118631 0.0348331i
\(535\) 8.59143 5.91817i 0.371440 0.255865i
\(536\) 6.29902 5.45813i 0.272076 0.235755i
\(537\) −1.16186 0.869761i −0.0501382 0.0375330i
\(538\) −3.58700 6.56910i −0.154646 0.283214i
\(539\) −2.89670 + 3.34297i −0.124770 + 0.143992i
\(540\) −0.863340 + 2.06268i −0.0371522 + 0.0887636i
\(541\) −15.4796 9.94811i −0.665518 0.427703i 0.163789 0.986495i \(-0.447628\pi\)
−0.829307 + 0.558793i \(0.811265\pi\)
\(542\) −1.84228 25.7585i −0.0791327 1.10642i
\(543\) −5.52589 + 3.01737i −0.237139 + 0.129488i
\(544\) 1.05669 + 7.34943i 0.0453052 + 0.315104i
\(545\) 2.95376 + 28.4641i 0.126525 + 1.21927i
\(546\) 13.5954 6.20883i 0.581831 0.265713i
\(547\) −6.18511 + 11.3272i −0.264456 + 0.484315i −0.975839 0.218489i \(-0.929887\pi\)
0.711383 + 0.702804i \(0.248069\pi\)
\(548\) −0.581111 1.55802i −0.0248238 0.0665553i
\(549\) −1.90840 + 13.2732i −0.0814483 + 0.566486i
\(550\) −0.520712 3.82211i −0.0222032 0.162975i
\(551\) 13.0793i 0.557198i
\(552\) 4.57490 + 1.43885i 0.194721 + 0.0612416i
\(553\) −14.0606 14.0606i −0.597916 0.597916i
\(554\) 12.6597 + 19.6988i 0.537858 + 0.836923i
\(555\) −0.815755 0.765146i −0.0346269 0.0324786i
\(556\) 3.58798 7.85658i 0.152164 0.333193i
\(557\) 30.6145 + 16.7168i 1.29718 + 0.708312i 0.971471 0.237159i \(-0.0762162\pi\)
0.325706 + 0.945471i \(0.394398\pi\)
\(558\) 0.286596 0.768392i 0.0121326 0.0325286i
\(559\) 9.72156 + 11.2193i 0.411178 + 0.474525i
\(560\) −7.58016 + 2.49182i −0.320320 + 0.105299i
\(561\) 5.49623 + 1.61384i 0.232051 + 0.0681364i
\(562\) −22.0378 + 1.57617i −0.929607 + 0.0664868i
\(563\) 11.0894 2.41235i 0.467362 0.101668i 0.0272834 0.999628i \(-0.491314\pi\)
0.440078 + 0.897959i \(0.354951\pi\)
\(564\) −5.25230 + 8.17273i −0.221162 + 0.344134i
\(565\) 6.42922 10.7451i 0.270479 0.452050i
\(566\) −0.00981590 + 0.0334299i −0.000412593 + 0.00140516i
\(567\) 2.13847 2.85667i 0.0898074 0.119969i
\(568\) −0.989435 + 13.8341i −0.0415158 + 0.580466i
\(569\) −0.0976307 0.213781i −0.00409289 0.00896218i 0.907575 0.419891i \(-0.137932\pi\)
−0.911667 + 0.410929i \(0.865204\pi\)
\(570\) −7.46766 2.51619i −0.312786 0.105392i
\(571\) 6.09983 + 2.78570i 0.255270 + 0.116578i 0.538940 0.842344i \(-0.318825\pi\)
−0.283670 + 0.958922i \(0.591552\pi\)
\(572\) −2.58679 + 1.93645i −0.108159 + 0.0809670i
\(573\) −3.84454 + 17.6731i −0.160608 + 0.738302i
\(574\) −19.3882 −0.809247
\(575\) 19.5705 13.8563i 0.816146 0.577846i
\(576\) −1.00000 −0.0416667
\(577\) 1.69908 7.81056i 0.0707338 0.325158i −0.928160 0.372181i \(-0.878610\pi\)
0.998894 + 0.0470235i \(0.0149736\pi\)
\(578\) −30.5252 + 22.8509i −1.26968 + 0.950472i
\(579\) 13.0903 + 5.97815i 0.544016 + 0.248444i
\(580\) −7.86444 2.64988i −0.326553 0.110030i
\(581\) 1.88490 + 4.12734i 0.0781986 + 0.171231i
\(582\) 0.656645 9.18109i 0.0272188 0.380569i
\(583\) −5.93164 + 7.92374i −0.245663 + 0.328168i
\(584\) −4.02644 + 13.7128i −0.166615 + 0.567440i
\(585\) 4.80875 8.03684i 0.198817 0.332282i
\(586\) 7.32469 11.3974i 0.302580 0.470824i
\(587\) −35.5398 + 7.73121i −1.46689 + 0.319101i −0.873897 0.486110i \(-0.838415\pi\)
−0.592988 + 0.805212i \(0.702052\pi\)
\(588\) 5.71900 0.409031i 0.235848 0.0168681i
\(589\) 2.77306 + 0.814244i 0.114262 + 0.0335504i
\(590\) −27.9262 + 9.18016i −1.14970 + 0.377941i
\(591\) −4.61239 5.32298i −0.189728 0.218958i
\(592\) 0.174795 0.468644i 0.00718404 0.0192612i
\(593\) 5.76336 + 3.14703i 0.236673 + 0.129233i 0.593209 0.805048i \(-0.297861\pi\)
−0.356537 + 0.934281i \(0.616042\pi\)
\(594\) −0.320486 + 0.701766i −0.0131497 + 0.0287938i
\(595\) −43.2121 40.5312i −1.77152 1.66162i
\(596\) 9.68860 + 15.0757i 0.396860 + 0.617527i
\(597\) −8.28885 8.28885i −0.339240 0.339240i
\(598\) −18.1090 8.69218i −0.740531 0.355450i
\(599\) 31.1685i 1.27351i 0.771066 + 0.636755i \(0.219724\pi\)
−0.771066 + 0.636755i \(0.780276\pi\)
\(600\) −3.02591 + 3.98043i −0.123532 + 0.162501i
\(601\) −5.56989 + 38.7394i −0.227201 + 1.58021i 0.482619 + 0.875830i \(0.339686\pi\)
−0.709819 + 0.704384i \(0.751223\pi\)
\(602\) 4.41991 + 11.8502i 0.180142 + 0.482980i
\(603\) −3.99444 + 7.31528i −0.162666 + 0.297901i
\(604\) 15.7195 7.17885i 0.639617 0.292103i
\(605\) 2.40144 + 23.1416i 0.0976325 + 0.940840i
\(606\) 1.62260 + 11.2854i 0.0659136 + 0.458439i
\(607\) −5.83561 + 3.18648i −0.236860 + 0.129335i −0.593296 0.804984i \(-0.702174\pi\)
0.356436 + 0.934320i \(0.383992\pi\)
\(608\) −0.251408 3.51514i −0.0101959 0.142558i
\(609\) 11.1413 + 7.16009i 0.451469 + 0.290142i
\(610\) −11.5771 + 27.6598i −0.468744 + 1.11991i
\(611\) 26.6466 30.7518i 1.07800 1.24408i
\(612\) −3.55843 6.51677i −0.143841 0.263425i
\(613\) −8.44840 6.32440i −0.341228 0.255440i 0.414896 0.909869i \(-0.363818\pi\)
−0.756123 + 0.654429i \(0.772909\pi\)
\(614\) 0.154227 0.133639i 0.00622411 0.00539322i
\(615\) −10.0051 + 6.89199i −0.403446 + 0.277912i
\(616\) −2.64146 + 0.775602i −0.106427 + 0.0312499i
\(617\) 1.50611 0.561749i 0.0606336 0.0226152i −0.318964 0.947767i \(-0.603335\pi\)
0.379598 + 0.925152i \(0.376062\pi\)
\(618\) 3.10397 + 4.14641i 0.124860 + 0.166793i
\(619\) 19.7554 12.6960i 0.794036 0.510296i −0.0796285 0.996825i \(-0.525373\pi\)
0.873665 + 0.486529i \(0.161737\pi\)
\(620\) 1.05142 1.50244i 0.0422261 0.0603395i
\(621\) −4.78928 + 0.250633i −0.192187 + 0.0100575i
\(622\) 12.9946 12.9946i 0.521035 0.521035i
\(623\) −9.96234 2.16718i −0.399133 0.0868260i
\(624\) 4.14580 + 0.596076i 0.165965 + 0.0238622i
\(625\) 6.68772 + 24.0889i 0.267509 + 0.963555i
\(626\) −5.55983 18.9350i −0.222215 0.756796i
\(627\) −2.54738 0.950124i −0.101733 0.0379443i
\(628\) −0.337022 0.0241043i −0.0134487 0.000961867i
\(629\) 3.67604 0.528535i 0.146573 0.0210741i
\(630\) 6.23143 4.98371i 0.248266 0.198556i
\(631\) 10.6985 + 9.27028i 0.425900 + 0.369044i 0.841276 0.540605i \(-0.181805\pi\)
−0.415377 + 0.909650i \(0.636350\pi\)
\(632\) −1.18450 5.44505i −0.0471168 0.216593i
\(633\) −4.12007 18.9397i −0.163758 0.752784i
\(634\) 13.8571 + 12.0073i 0.550337 + 0.476870i
\(635\) −22.0407 2.45211i −0.874660 0.0973090i
\(636\) 12.6992 1.82587i 0.503557 0.0724005i
\(637\) −23.9537 1.71320i −0.949078 0.0678794i
\(638\) −2.68273 1.00061i −0.106210 0.0396144i
\(639\) −3.90747 13.3076i −0.154577 0.526442i
\(640\) −2.16455 0.561003i −0.0855613 0.0221756i
\(641\) 18.6342 + 2.67919i 0.736007 + 0.105822i 0.500117 0.865958i \(-0.333290\pi\)
0.235890 + 0.971780i \(0.424200\pi\)
\(642\) −4.55894 0.991736i −0.179927 0.0391407i
\(643\) −9.16987 + 9.16987i −0.361624 + 0.361624i −0.864411 0.502786i \(-0.832308\pi\)
0.502786 + 0.864411i \(0.332308\pi\)
\(644\) −11.8676 12.3302i −0.467648 0.485877i
\(645\) 6.49332 + 4.54407i 0.255674 + 0.178923i
\(646\) 22.0128 14.1468i 0.866081 0.556597i
\(647\) 6.56094 + 8.76439i 0.257937 + 0.344564i 0.910752 0.412954i \(-0.135503\pi\)
−0.652815 + 0.757518i \(0.726412\pi\)
\(648\) 0.936950 0.349464i 0.0368069 0.0137282i
\(649\) −9.73144 + 2.85741i −0.381993 + 0.112163i
\(650\) 14.9175 14.6984i 0.585111 0.576519i
\(651\) −2.21167 + 1.91642i −0.0866822 + 0.0751105i
\(652\) 1.77019 + 1.32514i 0.0693258 + 0.0518967i
\(653\) 22.6780 + 41.5317i 0.887459 + 1.62526i 0.775321 + 0.631567i \(0.217588\pi\)
0.112138 + 0.993693i \(0.464230\pi\)
\(654\) 8.38082 9.67199i 0.327716 0.378205i
\(655\) −11.4096 27.8359i −0.445809 1.08764i
\(656\) −4.57076 2.93745i −0.178458 0.114688i
\(657\) −1.01956 14.2553i −0.0397768 0.556152i
\(658\) 30.4265 16.6141i 1.18615 0.647686i
\(659\) −4.23637 29.4646i −0.165026 1.14778i −0.888985 0.457936i \(-0.848589\pi\)
0.723960 0.689842i \(-0.242320\pi\)
\(660\) −1.08740 + 1.33921i −0.0423270 + 0.0521288i
\(661\) 24.0683 10.9916i 0.936149 0.427525i 0.111879 0.993722i \(-0.464313\pi\)
0.824270 + 0.566197i \(0.191586\pi\)
\(662\) −8.22684 + 15.0663i −0.319745 + 0.585570i
\(663\) 10.8680 + 29.1383i 0.422080 + 1.13164i
\(664\) −0.180959 + 1.25860i −0.00702256 + 0.0488430i
\(665\) 19.0851 + 20.6514i 0.740087 + 0.800828i
\(666\) 0.500181i 0.0193816i
\(667\) −2.19586 17.6631i −0.0850240 0.683919i
\(668\) −12.2913 12.2913i −0.475564 0.475564i
\(669\) −14.1256 21.9798i −0.546125 0.849788i
\(670\) −12.7501 + 13.5934i −0.492578 + 0.525158i
\(671\) −4.29761 + 9.41045i −0.165907 + 0.363286i
\(672\) 3.13193 + 1.71016i 0.120817 + 0.0659709i
\(673\) −3.45300 + 9.25786i −0.133104 + 0.356864i −0.986354 0.164636i \(-0.947355\pi\)
0.853251 + 0.521501i \(0.174628\pi\)
\(674\) −11.2879 13.0269i −0.434793 0.501778i
\(675\) 1.44411 4.78691i 0.0555837 0.184248i
\(676\) −4.35896 1.27991i −0.167652 0.0492272i
\(677\) 46.1504 3.30074i 1.77371 0.126858i 0.854202 0.519941i \(-0.174046\pi\)
0.919503 + 0.393083i \(0.128591\pi\)
\(678\) −5.47189 + 1.19034i −0.210147 + 0.0457146i
\(679\) −17.7577 + 27.6315i −0.681478 + 1.06040i
\(680\) −4.04646 16.1022i −0.155175 0.617490i
\(681\) −5.59138 + 19.0425i −0.214262 + 0.729710i
\(682\) 0.379159 0.506497i 0.0145187 0.0193948i
\(683\) −2.22338 + 31.0869i −0.0850751 + 1.18951i 0.758200 + 0.652023i \(0.226079\pi\)
−0.843275 + 0.537483i \(0.819375\pi\)
\(684\) 1.46397 + 3.20566i 0.0559764 + 0.122571i
\(685\) 1.65206 + 3.33111i 0.0631218 + 0.127275i
\(686\) 4.11064 + 1.87727i 0.156945 + 0.0716744i
\(687\) 4.06010 3.03935i 0.154903 0.115959i
\(688\) −0.753404 + 3.46334i −0.0287232 + 0.132039i
\(689\) −53.7368 −2.04721
\(690\) −10.5072 2.14429i −0.400004 0.0816318i
\(691\) −11.6597 −0.443556 −0.221778 0.975097i \(-0.571186\pi\)
−0.221778 + 0.975097i \(0.571186\pi\)
\(692\) −0.583359 + 2.68166i −0.0221760 + 0.101941i
\(693\) 2.20387 1.64980i 0.0837181 0.0626706i
\(694\) −7.14539 3.26319i −0.271235 0.123869i
\(695\) −6.16681 + 18.3021i −0.233920 + 0.694239i
\(696\) 1.54176 + 3.37598i 0.0584402 + 0.127966i
\(697\) 2.87797 40.2393i 0.109011 1.52417i
\(698\) −0.103797 + 0.138656i −0.00392877 + 0.00524822i
\(699\) −2.52446 + 8.59753i −0.0954839 + 0.325188i
\(700\) 16.2841 7.29163i 0.615482 0.275598i
\(701\) 7.00218 10.8956i 0.264469 0.411521i −0.683468 0.729981i \(-0.739529\pi\)
0.947937 + 0.318459i \(0.103165\pi\)
\(702\) −4.09272 + 0.890316i −0.154470 + 0.0336028i
\(703\) −1.75821 + 0.125749i −0.0663120 + 0.00474273i
\(704\) −0.740233 0.217352i −0.0278986 0.00819176i
\(705\) 9.79549 19.3894i 0.368919 0.730248i
\(706\) −18.6019 21.4678i −0.700093 0.807951i
\(707\) 14.2180 38.1200i 0.534724 1.43365i
\(708\) 11.5384 + 6.30043i 0.433639 + 0.236785i
\(709\) −12.6248 + 27.6444i −0.474134 + 1.03821i 0.509901 + 0.860233i \(0.329682\pi\)
−0.984035 + 0.177975i \(0.943045\pi\)
\(710\) −0.992301 30.9971i −0.0372404 1.16330i
\(711\) 3.01267 + 4.68780i 0.112984 + 0.175806i
\(712\) −2.02028 2.02028i −0.0757131 0.0757131i
\(713\) 3.88162 + 0.634043i 0.145368 + 0.0237451i
\(714\) 26.4955i 0.991570i
\(715\) 5.30642 4.90394i 0.198449 0.183397i
\(716\) −0.206549 + 1.43658i −0.00771908 + 0.0536874i
\(717\) −8.06139 21.6134i −0.301058 0.807168i
\(718\) 13.0008 23.8092i 0.485186 0.888553i
\(719\) −0.569130 + 0.259913i −0.0212250 + 0.00969312i −0.425999 0.904724i \(-0.640077\pi\)
0.404774 + 0.914417i \(0.367350\pi\)
\(720\) 2.22412 0.230801i 0.0828882 0.00860145i
\(721\) −2.63036 18.2945i −0.0979597 0.681324i
\(722\) 5.77562 3.15373i 0.214946 0.117370i
\(723\) −0.217728 3.04423i −0.00809738 0.113216i
\(724\) 5.29656 + 3.40389i 0.196845 + 0.126505i
\(725\) 18.1031 + 4.07855i 0.672332 + 0.151473i
\(726\) 6.81370 7.86343i 0.252880 0.291839i
\(727\) −11.2038 20.5183i −0.415527 0.760981i 0.583152 0.812363i \(-0.301819\pi\)
−0.998679 + 0.0513819i \(0.983637\pi\)
\(728\) −11.9650 8.95685i −0.443451 0.331963i
\(729\) −0.755750 + 0.654861i −0.0279907 + 0.0242541i
\(730\) 5.79038 31.4283i 0.214311 1.16321i
\(731\) −25.2507 + 7.41429i −0.933932 + 0.274227i
\(732\) 12.5642 4.68620i 0.464386 0.173207i
\(733\) −0.0618583 0.0826330i −0.00228479 0.00305212i 0.799397 0.600803i \(-0.205152\pi\)
−0.801682 + 0.597751i \(0.796061\pi\)
\(734\) −15.9067 + 10.2226i −0.587125 + 0.377323i
\(735\) −12.6254 + 2.22969i −0.465693 + 0.0822433i
\(736\) −0.929667 4.70486i −0.0342680 0.173423i
\(737\) −4.54681 + 4.54681i −0.167484 + 0.167484i
\(738\) 5.30910 + 1.15492i 0.195431 + 0.0425134i
\(739\) 13.8078 + 1.98526i 0.507929 + 0.0730291i 0.391515 0.920172i \(-0.371951\pi\)
0.116414 + 0.993201i \(0.462860\pi\)
\(740\) −0.280603 + 1.08267i −0.0103152 + 0.0397996i
\(741\) −4.15853 14.1627i −0.152767 0.520278i
\(742\) −42.8956 15.9992i −1.57475 0.587350i
\(743\) −9.93173 0.710331i −0.364360 0.0260595i −0.112041 0.993704i \(-0.535739\pi\)
−0.252319 + 0.967644i \(0.581193\pi\)
\(744\) −0.811752 + 0.116712i −0.0297603 + 0.00427888i
\(745\) −25.0281 31.2942i −0.916960 1.14653i
\(746\) −12.7488 11.0469i −0.466766 0.404455i
\(747\) −0.270285 1.24248i −0.00988920 0.0454599i
\(748\) −1.21763 5.59736i −0.0445210 0.204660i
\(749\) 12.5822 + 10.9026i 0.459745 + 0.398371i
\(750\) 5.81132 9.55137i 0.212199 0.348767i
\(751\) 46.6404 6.70588i 1.70193 0.244701i 0.778276 0.627922i \(-0.216094\pi\)
0.923657 + 0.383221i \(0.125185\pi\)
\(752\) 9.69019 + 0.693056i 0.353365 + 0.0252732i
\(753\) −18.5088 6.90341i −0.674496 0.251574i
\(754\) −4.37948 14.9152i −0.159491 0.543178i
\(755\) −33.3052 + 19.5947i −1.21210 + 0.713125i
\(756\) −3.53210 0.507839i −0.128461 0.0184699i
\(757\) 42.8965 + 9.33156i 1.55910 + 0.339161i 0.907715 0.419587i \(-0.137825\pi\)
0.651384 + 0.758748i \(0.274189\pi\)
\(758\) 8.81564 8.81564i 0.320199 0.320199i
\(759\) −3.59966 0.855432i −0.130659 0.0310502i
\(760\) 1.37046 + 7.76009i 0.0497119 + 0.281488i
\(761\) 4.63322 2.97759i 0.167954 0.107937i −0.453963 0.891020i \(-0.649990\pi\)
0.621917 + 0.783083i \(0.286354\pi\)
\(762\) 5.94347 + 7.93955i 0.215309 + 0.287620i
\(763\) −42.7888 + 15.9594i −1.54906 + 0.577769i
\(764\) 17.3538 5.09552i 0.627837 0.184350i
\(765\) 9.41846 + 13.6728i 0.340525 + 0.494342i
\(766\) −15.2826 + 13.2424i −0.552183 + 0.478469i
\(767\) −44.0803 32.9981i −1.59165 1.19149i
\(768\) 0.479249 + 0.877679i 0.0172934 + 0.0316705i
\(769\) −30.2976 + 34.9653i −1.09256 + 1.26088i −0.129502 + 0.991579i \(0.541338\pi\)
−0.963056 + 0.269301i \(0.913208\pi\)
\(770\) 5.69593 2.33469i 0.205267 0.0841363i
\(771\) 16.4642 + 10.5809i 0.592943 + 0.381061i
\(772\) −1.02663 14.3541i −0.0369491 0.516616i
\(773\) −14.1689 + 7.73680i −0.509619 + 0.278273i −0.713417 0.700740i \(-0.752853\pi\)
0.203797 + 0.979013i \(0.434672\pi\)
\(774\) −0.504412 3.50826i −0.0181307 0.126102i
\(775\) −1.99172 + 3.58429i −0.0715449 + 0.128751i
\(776\) −8.37275 + 3.82371i −0.300564 + 0.137263i
\(777\) 0.855389 1.56653i 0.0306869 0.0561989i
\(778\) 1.70820 + 4.57987i 0.0612420 + 0.164196i
\(779\) −2.72498 + 18.9526i −0.0976324 + 0.679048i
\(780\) −9.35836 0.368892i −0.335083 0.0132085i
\(781\) 10.7000i 0.382878i
\(782\) 27.3524 22.8003i 0.978118 0.815338i
\(783\) −2.62433 2.62433i −0.0937861 0.0937861i
\(784\) −3.09982 4.82342i −0.110708 0.172265i
\(785\) 0.755143 0.0241741i 0.0269522 0.000862812i
\(786\) −5.58888 + 12.2379i −0.199349 + 0.436513i
\(787\) −5.49055 2.99806i −0.195717 0.106869i 0.378402 0.925641i \(-0.376474\pi\)
−0.574119 + 0.818772i \(0.694655\pi\)
\(788\) −2.46139 + 6.59923i −0.0876833 + 0.235088i
\(789\) 3.51203 + 4.05310i 0.125032 + 0.144294i
\(790\) 3.89120 + 11.8371i 0.138443 + 0.421145i
\(791\) 19.1732 + 5.62976i 0.681721 + 0.200171i
\(792\) 0.769517 0.0550370i 0.0273436 0.00195565i
\(793\) −54.8820 + 11.9388i −1.94892 + 0.423961i
\(794\) 2.14878 3.34357i 0.0762574 0.118659i
\(795\) −27.8232 + 6.99196i −0.986789 + 0.247979i
\(796\) −3.30253 + 11.2474i −0.117055 + 0.398653i
\(797\) −21.3759 + 28.5548i −0.757172 + 1.01146i 0.241979 + 0.970281i \(0.422203\pi\)
−0.999152 + 0.0411826i \(0.986887\pi\)
\(798\) 0.897129 12.5435i 0.0317580 0.444035i
\(799\) 29.9654 + 65.6150i 1.06010 + 2.32129i
\(800\) 4.94371 + 0.748160i 0.174787 + 0.0264514i
\(801\) 2.59891 + 1.18688i 0.0918281 + 0.0419365i
\(802\) −4.61800 + 3.45699i −0.163067 + 0.122071i
\(803\) 2.34371 10.7738i 0.0827076 0.380201i
\(804\) 8.33480 0.293946
\(805\) 29.2408 + 24.6848i 1.03060 + 0.870026i
\(806\) 3.43493 0.120990
\(807\) 1.59097 7.31358i 0.0560048 0.257450i
\(808\) 9.12735 6.83265i 0.321099 0.240372i
\(809\) 5.37518 + 2.45476i 0.188981 + 0.0863048i 0.507658 0.861559i \(-0.330511\pi\)
−0.318677 + 0.947863i \(0.603239\pi\)
\(810\) −2.00324 + 0.993501i −0.0703865 + 0.0349081i
\(811\) 17.6643 + 38.6793i 0.620276 + 1.35821i 0.915318 + 0.402731i \(0.131939\pi\)
−0.295042 + 0.955484i \(0.595334\pi\)
\(812\) 0.944796 13.2100i 0.0331558 0.463579i
\(813\) 15.4759 20.6734i 0.542763 0.725047i
\(814\) −0.108715 + 0.370250i −0.00381047 + 0.0129773i
\(815\) −4.24296 2.53873i −0.148624 0.0889277i
\(816\) −4.01426 + 6.24631i −0.140527 + 0.218665i
\(817\) 12.2052 2.65509i 0.427007 0.0928897i
\(818\) 14.7822 1.05724i 0.516846 0.0369656i
\(819\) 14.3407 + 4.21080i 0.501103 + 0.147137i
\(820\) 10.8439 + 5.47831i 0.378686 + 0.191311i
\(821\) −18.9857 21.9106i −0.662605 0.764686i 0.320596 0.947216i \(-0.396117\pi\)
−0.983200 + 0.182530i \(0.941571\pi\)
\(822\) 0.581111 1.55802i 0.0202686 0.0543422i
\(823\) −1.15794 0.632284i −0.0403633 0.0220400i 0.458941 0.888467i \(-0.348229\pi\)
−0.499304 + 0.866427i \(0.666411\pi\)
\(824\) 2.15165 4.71145i 0.0749562 0.164131i
\(825\) 2.10942 3.22955i 0.0734406 0.112439i
\(826\) −25.3626 39.4650i −0.882477 1.37316i
\(827\) 29.8965 + 29.8965i 1.03960 + 1.03960i 0.999183 + 0.0404218i \(0.0128702\pi\)
0.0404218 + 0.999183i \(0.487130\pi\)
\(828\) 2.51523 + 4.08333i 0.0874103 + 0.141906i
\(829\) 45.3077i 1.57360i 0.617206 + 0.786802i \(0.288264\pi\)
−0.617206 + 0.786802i \(0.711736\pi\)
\(830\) 0.111989 2.84104i 0.00388721 0.0986139i
\(831\) −3.33245 + 23.1777i −0.115601 + 0.804026i
\(832\) −1.46371 3.92435i −0.0507449 0.136052i
\(833\) 20.4026 37.3646i 0.706909 1.29461i
\(834\) 7.85658 3.58798i 0.272051 0.124242i
\(835\) 30.1742 + 24.5005i 1.04422 + 0.847875i
\(836\) 0.386926 + 2.69113i 0.0133821 + 0.0930746i
\(837\) 0.719784 0.393032i 0.0248794 0.0135852i
\(838\) 1.36609 + 19.1005i 0.0471909 + 0.659815i
\(839\) 30.1730 + 19.3910i 1.04169 + 0.669453i 0.945404 0.325901i \(-0.105668\pi\)
0.0962851 + 0.995354i \(0.469304\pi\)
\(840\) −7.36050 3.08076i −0.253961 0.106296i
\(841\) −9.97074 + 11.5068i −0.343819 + 0.396788i
\(842\) −2.69576 4.93691i −0.0929019 0.170137i
\(843\) −17.6872 13.2405i −0.609180 0.456026i
\(844\) −14.6484 + 12.6929i −0.504219 + 0.436908i
\(845\) 9.99027 + 1.84062i 0.343676 + 0.0633192i
\(846\) −9.32142 + 2.73702i −0.320477 + 0.0941006i
\(847\) −34.7877 + 12.9752i −1.19532 + 0.445832i
\(848\) −7.68862 10.2708i −0.264028 0.352700i
\(849\) −0.0293103 + 0.0188366i −0.00100593 + 0.000646470i
\(850\) 12.7162 + 34.8793i 0.436163 + 1.19635i
\(851\) −2.35328 + 0.465002i −0.0806694 + 0.0159400i
\(852\) −9.80718 + 9.80718i −0.335988 + 0.335988i
\(853\) −45.3765 9.87106i −1.55366 0.337979i −0.647887 0.761736i \(-0.724347\pi\)
−0.905776 + 0.423758i \(0.860711\pi\)
\(854\) −47.3643 6.80995i −1.62077 0.233032i
\(855\) −3.99593 6.79189i −0.136658 0.232278i
\(856\) 1.31444 + 4.47657i 0.0449266 + 0.153006i
\(857\) 44.4910 + 16.5943i 1.51978 + 0.566850i 0.964331 0.264699i \(-0.0852727\pi\)
0.555452 + 0.831549i \(0.312545\pi\)
\(858\) −3.22307 0.230519i −0.110034 0.00786978i
\(859\) 21.3002 3.06250i 0.726752 0.104491i 0.230998 0.972954i \(-0.425801\pi\)
0.495754 + 0.868463i \(0.334892\pi\)
\(860\) 0.876321 7.87679i 0.0298823 0.268596i
\(861\) −14.6526 12.6966i −0.499360 0.432698i
\(862\) 5.78133 + 26.5763i 0.196913 + 0.905194i
\(863\) 7.99657 + 36.7596i 0.272206 + 1.25131i 0.886683 + 0.462378i \(0.153004\pi\)
−0.614477 + 0.788935i \(0.710633\pi\)
\(864\) −0.755750 0.654861i −0.0257111 0.0222788i
\(865\) 0.678534 6.09898i 0.0230708 0.207372i
\(866\) −14.2961 + 2.05547i −0.485802 + 0.0698478i
\(867\) −38.0336 2.72022i −1.29169 0.0923834i
\(868\) 2.74194 + 1.02269i 0.0930677 + 0.0347124i
\(869\) 1.21117 + 4.12487i 0.0410862 + 0.139927i
\(870\) −4.20824 7.15276i −0.142673 0.242501i
\(871\) −34.5544 4.96818i −1.17083 0.168340i
\(872\) −12.5054 2.72038i −0.423486 0.0921238i
\(873\) 6.50860 6.50860i 0.220283 0.220283i
\(874\) −13.7212 + 9.86798i −0.464125 + 0.333790i
\(875\) −34.5350 + 19.9759i −1.16750 + 0.675308i
\(876\) −12.0230 + 7.72668i −0.406218 + 0.261060i
\(877\) 26.6738 + 35.6320i 0.900710 + 1.20321i 0.978502 + 0.206238i \(0.0661223\pi\)
−0.0777915 + 0.996970i \(0.524787\pi\)
\(878\) −8.46405 + 3.15693i −0.285648 + 0.106541i
\(879\) 12.9994 3.81696i 0.438458 0.128743i
\(880\) 1.69653 + 0.312571i 0.0571902 + 0.0105368i
\(881\) 29.1273 25.2389i 0.981324 0.850322i −0.00741539 0.999973i \(-0.502360\pi\)
0.988739 + 0.149651i \(0.0478150\pi\)
\(882\) 4.58999 + 3.43602i 0.154553 + 0.115697i
\(883\) −3.90299 7.14779i −0.131346 0.240542i 0.803726 0.594999i \(-0.202848\pi\)
−0.935072 + 0.354457i \(0.884666\pi\)
\(884\) 20.3656 23.5032i 0.684970 0.790497i
\(885\) −27.1169 11.3499i −0.911526 0.381522i
\(886\) −19.6012 12.5970i −0.658517 0.423203i
\(887\) −1.49127 20.8507i −0.0500720 0.700098i −0.959047 0.283247i \(-0.908588\pi\)
0.908975 0.416851i \(-0.136866\pi\)
\(888\) 0.438998 0.239711i 0.0147318 0.00804418i
\(889\) −5.03661 35.0304i −0.168922 1.17488i
\(890\) 4.95963 + 4.02707i 0.166247 + 0.134988i
\(891\) −0.701766 + 0.320486i −0.0235100 + 0.0107367i
\(892\) −12.5215 + 22.9315i −0.419252 + 0.767803i
\(893\) −11.9645 32.0780i −0.400376 1.07345i
\(894\) −2.55036 + 17.7382i −0.0852969 + 0.593253i
\(895\) 0.127826 3.24280i 0.00427276 0.108395i
\(896\) 3.56842i 0.119212i
\(897\) −7.99367 18.4280i −0.266901 0.615292i
\(898\) 12.0054 + 12.0054i 0.400626 + 0.400626i
\(899\) 1.64554 + 2.56052i 0.0548820 + 0.0853980i
\(900\) −4.89346 + 1.02666i −0.163115 + 0.0342220i
\(901\) 39.5730 86.6529i 1.31837 2.88683i
\(902\) 3.67895 + 2.00886i 0.122496 + 0.0668876i
\(903\) −4.41991 + 11.8502i −0.147086 + 0.394352i
\(904\) 3.66713 + 4.23209i 0.121967 + 0.140757i
\(905\) −12.5658 6.34823i −0.417702 0.211022i
\(906\) 16.5811 + 4.86866i 0.550872 + 0.161750i
\(907\) 23.7401 1.69793i 0.788278 0.0563787i 0.328605 0.944467i \(-0.393421\pi\)
0.459672 + 0.888089i \(0.347967\pi\)
\(908\) 19.3929 4.21866i 0.643575 0.140001i
\(909\) −6.16410 + 9.59153i −0.204450 + 0.318131i
\(910\) 28.6788 + 17.1596i 0.950693 + 0.568836i
\(911\) 3.34918 11.4063i 0.110963 0.377907i −0.885222 0.465169i \(-0.845994\pi\)
0.996185 + 0.0872621i \(0.0278118\pi\)
\(912\) 2.11193 2.82121i 0.0699329 0.0934195i
\(913\) 0.0699816 0.978470i 0.00231605 0.0323826i
\(914\) −10.3669 22.7004i −0.342908 0.750864i
\(915\) −26.8627 + 13.3225i −0.888055 + 0.440429i
\(916\) −4.61338 2.10686i −0.152430 0.0696126i
\(917\) 38.4328 28.7705i 1.26916 0.950084i
\(918\) 1.57830 7.25532i 0.0520916 0.239461i
\(919\) 19.8734 0.655562 0.327781 0.944754i \(-0.393699\pi\)
0.327781 + 0.944754i \(0.393699\pi\)
\(920\) 3.15358 + 10.2496i 0.103971 + 0.337920i
\(921\) 0.204072 0.00672440
\(922\) −7.03211 + 32.3261i −0.231590 + 1.06460i
\(923\) 46.5044 34.8128i 1.53071 1.14588i
\(924\) −2.50419 1.14363i −0.0823819 0.0376226i
\(925\) 0.374215 2.47275i 0.0123041 0.0813035i
\(926\) 3.69411 + 8.08896i 0.121396 + 0.265820i
\(927\) −0.369502 + 5.16632i −0.0121360 + 0.169684i
\(928\) 2.22414 2.97110i 0.0730110 0.0975313i
\(929\) 3.32656 11.3292i 0.109141 0.371699i −0.886751 0.462247i \(-0.847043\pi\)
0.995892 + 0.0905474i \(0.0288617\pi\)
\(930\) 1.77850 0.446936i 0.0583194 0.0146556i
\(931\) −10.9242 + 16.9983i −0.358025 + 0.557097i
\(932\) 8.75571 1.90469i 0.286803 0.0623902i
\(933\) 18.3303 1.31101i 0.600106 0.0429204i
\(934\) −11.1734 3.28080i −0.365604 0.107351i
\(935\) 4.00004 + 12.1682i 0.130815 + 0.397942i
\(936\) 2.74284 + 3.16541i 0.0896526 + 0.103465i
\(937\) 5.30609 14.2262i 0.173342 0.464749i −0.821005 0.570920i \(-0.806586\pi\)
0.994348 + 0.106171i \(0.0338592\pi\)
\(938\) −26.1040 14.2538i −0.852325 0.465405i
\(939\) 8.19797 17.9511i 0.267531 0.585810i
\(940\) −21.7122 + 0.695064i −0.708172 + 0.0226705i
\(941\) −14.7286 22.9181i −0.480139 0.747110i 0.513697 0.857971i \(-0.328275\pi\)
−0.993836 + 0.110861i \(0.964639\pi\)
\(942\) −0.238920 0.238920i −0.00778442 0.00778442i
\(943\) −0.498062 + 26.0523i −0.0162191 + 0.848379i
\(944\) 13.1465i 0.427881i
\(945\) 7.97303 + 0.314285i 0.259363 + 0.0102237i
\(946\) 0.389145 2.70657i 0.0126522 0.0879981i
\(947\) −14.1703 37.9919i −0.460471 1.23457i −0.935100 0.354385i \(-0.884690\pi\)
0.474628 0.880186i \(-0.342583\pi\)
\(948\) 2.67057 4.89078i 0.0867360 0.158845i
\(949\) 54.4505 24.8667i 1.76754 0.807207i
\(950\) −4.83912 16.9431i −0.157002 0.549707i
\(951\) 2.60943 + 18.1490i 0.0846166 + 0.588521i
\(952\) 23.2546 12.6980i 0.753685 0.411543i
\(953\) 4.36076 + 60.9713i 0.141259 + 1.97506i 0.210985 + 0.977489i \(0.432333\pi\)
−0.0697264 + 0.997566i \(0.522213\pi\)
\(954\) 10.7931 + 6.93632i 0.349440 + 0.224572i
\(955\) −37.4209 + 15.3383i −1.21091 + 0.496337i
\(956\) −15.1062 + 17.4335i −0.488570 + 0.563840i
\(957\) −1.37221 2.51302i −0.0443574 0.0812345i
\(958\) 10.2868 + 7.70060i 0.332351 + 0.248795i
\(959\) −4.48446 + 3.88581i −0.144811 + 0.125479i
\(960\) −1.26848 1.84146i −0.0409400 0.0594327i
\(961\) 29.0990 8.54423i 0.938676 0.275620i
\(962\) −1.96289 + 0.732118i −0.0632860 + 0.0236044i
\(963\) −2.79597 3.73497i −0.0900988 0.120358i
\(964\) −2.56751 + 1.65004i −0.0826940 + 0.0531442i
\(965\) 5.59630 + 31.6884i 0.180151 + 1.02009i
\(966\) −0.894363 17.0901i −0.0287756 0.549866i
\(967\) 10.4407 10.4407i 0.335749 0.335749i −0.519016 0.854765i \(-0.673701\pi\)
0.854765 + 0.519016i \(0.173701\pi\)
\(968\) −10.1670 2.21170i −0.326781 0.0710868i
\(969\) 25.9003 + 3.72390i 0.832038 + 0.119629i
\(970\) 17.7395 10.4368i 0.569582 0.335107i
\(971\) 8.81280 + 30.0136i 0.282816 + 0.963184i 0.971285 + 0.237918i \(0.0764650\pi\)
−0.688469 + 0.725266i \(0.741717\pi\)
\(972\) 0.936950 + 0.349464i 0.0300527 + 0.0112091i
\(973\) −30.7423 2.19873i −0.985552 0.0704880i
\(974\) 28.9566 4.16333i 0.927830 0.133402i
\(975\) 20.8993 1.33946i 0.669313 0.0428970i
\(976\) −10.1344 8.78147i −0.324393 0.281088i
\(977\) 3.30927 + 15.2125i 0.105873 + 0.486690i 0.999297 + 0.0374769i \(0.0119321\pi\)
−0.893425 + 0.449213i \(0.851704\pi\)
\(978\) 0.470032 + 2.16070i 0.0150300 + 0.0690916i
\(979\) 1.66583 + 1.44345i 0.0532401 + 0.0461328i
\(980\) 8.00764 + 10.0124i 0.255795 + 0.319836i
\(981\) 12.6676 1.82133i 0.404446 0.0581505i
\(982\) −3.90881 0.279564i −0.124735 0.00892123i
\(983\) −16.4040 6.11838i −0.523207 0.195146i 0.0739628 0.997261i \(-0.476435\pi\)
−0.597170 + 0.802115i \(0.703708\pi\)
\(984\) −1.53073 5.21319i −0.0487979 0.166190i
\(985\) 3.95132 15.2456i 0.125900 0.485765i
\(986\) 27.2765 + 3.92176i 0.868659 + 0.124894i
\(987\) 33.8747 + 7.36900i 1.07824 + 0.234558i
\(988\) −10.4373 + 10.4373i −0.332054 + 0.332054i
\(989\) 16.0370 5.63471i 0.509946 0.179173i
\(990\) −1.69880 + 0.300015i −0.0539914 + 0.00953509i
\(991\) −37.3366 + 23.9948i −1.18604 + 0.762220i −0.976487 0.215578i \(-0.930836\pi\)
−0.209550 + 0.977798i \(0.567200\pi\)
\(992\) 0.491467 + 0.656524i 0.0156041 + 0.0208446i
\(993\) −16.0838 + 5.99894i −0.510403 + 0.190371i
\(994\) 47.4872 13.9435i 1.50620 0.442261i
\(995\) 4.74933 25.7778i 0.150564 0.817211i
\(996\) −0.960964 + 0.832680i −0.0304493 + 0.0263845i
\(997\) 23.8060 + 17.8210i 0.753945 + 0.564396i 0.905648 0.424030i \(-0.139385\pi\)
−0.151703 + 0.988426i \(0.548476\pi\)
\(998\) 6.79605 + 12.4460i 0.215125 + 0.393972i
\(999\) −0.327549 + 0.378011i −0.0103632 + 0.0119598i
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 \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 690.2.w.b.103.11 yes 240
5.2 odd 4 inner 690.2.w.b.517.9 yes 240
23.21 odd 22 inner 690.2.w.b.343.9 yes 240
115.67 even 44 inner 690.2.w.b.67.11 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
690.2.w.b.67.11 240 115.67 even 44 inner
690.2.w.b.103.11 yes 240 1.1 even 1 trivial
690.2.w.b.343.9 yes 240 23.21 odd 22 inner
690.2.w.b.517.9 yes 240 5.2 odd 4 inner