Properties

Label 99.2.m.b.58.4
Level $99$
Weight $2$
Character 99.58
Analytic conductor $0.791$
Analytic rank $0$
Dimension $72$
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [99,2,Mod(4,99)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(99, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([10, 6]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("99.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 99 = 3^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 99.m (of order \(15\), degree \(8\), 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: \(0.790518980011\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(9\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 58.4
Character \(\chi\) \(=\) 99.58
Dual form 99.2.m.b.70.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.606887 - 0.270203i) q^{2} +(1.10264 + 1.33574i) q^{3} +(-1.04296 - 1.15832i) q^{4} +(1.02009 - 0.454172i) q^{5} +(-0.308255 - 1.10858i) q^{6} +(3.81922 - 0.811800i) q^{7} +(0.730548 + 2.24840i) q^{8} +(-0.568386 + 2.94566i) q^{9} -0.741796 q^{10} +(-2.09587 + 2.57048i) q^{11} +(0.397211 - 2.67033i) q^{12} +(-0.279928 - 2.66333i) q^{13} +(-2.53719 - 0.539295i) q^{14} +(1.73144 + 0.861780i) q^{15} +(-0.161688 + 1.53836i) q^{16} +(-4.48727 - 3.26019i) q^{17} +(1.14087 - 1.63411i) q^{18} +(-1.58598 - 4.88115i) q^{19} +(-1.58999 - 0.707907i) q^{20} +(5.29556 + 4.20635i) q^{21} +(1.96651 - 0.993678i) q^{22} +(-1.05719 + 1.83110i) q^{23} +(-2.19774 + 3.45498i) q^{24} +(-2.51135 + 2.78914i) q^{25} +(-0.549758 + 1.69198i) q^{26} +(-4.56135 + 2.48878i) q^{27} +(-4.92362 - 3.57722i) q^{28} +(-1.05937 + 0.225177i) q^{29} +(-0.817931 - 0.990844i) q^{30} +(0.0449642 + 0.427806i) q^{31} +(2.87790 - 4.98467i) q^{32} +(-5.74446 + 0.0347740i) q^{33} +(1.84235 + 3.19104i) q^{34} +(3.52724 - 2.56269i) q^{35} +(4.00484 - 2.41383i) q^{36} +(-2.69024 + 8.27970i) q^{37} +(-0.356392 + 3.39084i) q^{38} +(3.24885 - 3.31060i) q^{39} +(1.76638 + 1.96176i) q^{40} +(2.85529 + 0.606910i) q^{41} +(-2.07724 - 3.98366i) q^{42} +(1.11628 + 1.93346i) q^{43} +(5.16335 - 0.253209i) q^{44} +(0.758035 + 3.26298i) q^{45} +(1.13637 - 0.825618i) q^{46} +(8.58861 - 9.53861i) q^{47} +(-2.23313 + 1.48028i) q^{48} +(7.53259 - 3.35373i) q^{49} +(2.27774 - 1.01411i) q^{50} +(-0.593068 - 9.58862i) q^{51} +(-2.79305 + 3.10200i) q^{52} +(-4.56381 + 3.31581i) q^{53} +(3.44070 - 0.277916i) q^{54} +(-0.970527 + 3.57399i) q^{55} +(4.61537 + 7.99405i) q^{56} +(4.77117 - 7.50058i) q^{57} +(0.703764 + 0.149590i) q^{58} +(-1.58943 - 1.76524i) q^{59} +(-0.807599 - 2.90437i) q^{60} +(0.426942 - 4.06208i) q^{61} +(0.0883065 - 0.271779i) q^{62} +(0.220502 + 11.7116i) q^{63} +(-0.590604 + 0.429099i) q^{64} +(-1.49516 - 2.58969i) q^{65} +(3.49563 + 1.53107i) q^{66} +(4.87584 - 8.44521i) q^{67} +(0.903682 + 8.59796i) q^{68} +(-3.61157 + 0.606917i) q^{69} +(-2.83308 + 0.602190i) q^{70} +(-5.11062 - 3.71308i) q^{71} +(-7.03825 + 0.873994i) q^{72} +(-3.60705 + 11.1014i) q^{73} +(3.86988 - 4.29793i) q^{74} +(-6.49466 - 0.279099i) q^{75} +(-3.99983 + 6.92792i) q^{76} +(-5.91786 + 11.5186i) q^{77} +(-2.86622 + 1.13131i) q^{78} +(4.12439 + 1.83630i) q^{79} +(0.533744 + 1.64269i) q^{80} +(-8.35388 - 3.34855i) q^{81} +(-1.56885 - 1.13983i) q^{82} +(-0.0503831 + 0.479363i) q^{83} +(-0.650739 - 10.5210i) q^{84} +(-6.05809 - 1.28769i) q^{85} +(-0.155030 - 1.47502i) q^{86} +(-1.46888 - 1.16676i) q^{87} +(-7.31058 - 2.83448i) q^{88} +16.0830 q^{89} +(0.421626 - 2.18508i) q^{90} +(-3.23120 - 9.94461i) q^{91} +(3.22362 - 0.685201i) q^{92} +(-0.521857 + 0.531775i) q^{93} +(-7.78968 + 3.46819i) q^{94} +(-3.83471 - 4.25888i) q^{95} +(9.83148 - 1.65216i) q^{96} +(7.32266 + 3.26026i) q^{97} -5.47762 q^{98} +(-6.38050 - 7.63474i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q - q^{2} - 12 q^{3} + 11 q^{4} - 8 q^{5} - 7 q^{6} - 2 q^{7} + 6 q^{8} - 22 q^{9} - 8 q^{10} - 2 q^{11} - 16 q^{12} - 11 q^{13} - 10 q^{14} - 20 q^{15} - 9 q^{16} - 20 q^{17} - 21 q^{18} + 8 q^{19}+ \cdots - 182 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).

\(n\) \(46\) \(56\)
\(\chi(n)\) \(e\left(\frac{4}{5}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.606887 0.270203i −0.429134 0.191063i 0.180792 0.983521i \(-0.442134\pi\)
−0.609926 + 0.792459i \(0.708801\pi\)
\(3\) 1.10264 + 1.33574i 0.636607 + 0.771188i
\(4\) −1.04296 1.15832i −0.521480 0.579162i
\(5\) 1.02009 0.454172i 0.456196 0.203112i −0.165756 0.986167i \(-0.553006\pi\)
0.621952 + 0.783055i \(0.286340\pi\)
\(6\) −0.308255 1.10858i −0.125845 0.452575i
\(7\) 3.81922 0.811800i 1.44353 0.306832i 0.581440 0.813589i \(-0.302489\pi\)
0.862089 + 0.506758i \(0.169156\pi\)
\(8\) 0.730548 + 2.24840i 0.258288 + 0.794928i
\(9\) −0.568386 + 2.94566i −0.189462 + 0.981888i
\(10\) −0.741796 −0.234576
\(11\) −2.09587 + 2.57048i −0.631928 + 0.775027i
\(12\) 0.397211 2.67033i 0.114665 0.770858i
\(13\) −0.279928 2.66333i −0.0776380 0.738676i −0.962217 0.272285i \(-0.912221\pi\)
0.884579 0.466391i \(-0.154446\pi\)
\(14\) −2.53719 0.539295i −0.678091 0.144133i
\(15\) 1.73144 + 0.861780i 0.447055 + 0.222511i
\(16\) −0.161688 + 1.53836i −0.0404221 + 0.384590i
\(17\) −4.48727 3.26019i −1.08832 0.790713i −0.109207 0.994019i \(-0.534831\pi\)
−0.979115 + 0.203306i \(0.934831\pi\)
\(18\) 1.14087 1.63411i 0.268907 0.385162i
\(19\) −1.58598 4.88115i −0.363849 1.11981i −0.950699 0.310116i \(-0.899632\pi\)
0.586850 0.809696i \(-0.300368\pi\)
\(20\) −1.58999 0.707907i −0.355532 0.158293i
\(21\) 5.29556 + 4.20635i 1.15559 + 0.917901i
\(22\) 1.96651 0.993678i 0.419260 0.211853i
\(23\) −1.05719 + 1.83110i −0.220439 + 0.381812i −0.954941 0.296795i \(-0.904082\pi\)
0.734502 + 0.678606i \(0.237416\pi\)
\(24\) −2.19774 + 3.45498i −0.448611 + 0.705245i
\(25\) −2.51135 + 2.78914i −0.502270 + 0.557827i
\(26\) −0.549758 + 1.69198i −0.107816 + 0.331825i
\(27\) −4.56135 + 2.48878i −0.877833 + 0.478967i
\(28\) −4.92362 3.57722i −0.930476 0.676030i
\(29\) −1.05937 + 0.225177i −0.196721 + 0.0418143i −0.305218 0.952282i \(-0.598729\pi\)
0.108497 + 0.994097i \(0.465396\pi\)
\(30\) −0.817931 0.990844i −0.149333 0.180903i
\(31\) 0.0449642 + 0.427806i 0.00807581 + 0.0768362i 0.997817 0.0660323i \(-0.0210340\pi\)
−0.989742 + 0.142869i \(0.954367\pi\)
\(32\) 2.87790 4.98467i 0.508746 0.881173i
\(33\) −5.74446 + 0.0347740i −0.999982 + 0.00605338i
\(34\) 1.84235 + 3.19104i 0.315960 + 0.547259i
\(35\) 3.52724 2.56269i 0.596212 0.433173i
\(36\) 4.00484 2.41383i 0.667473 0.402306i
\(37\) −2.69024 + 8.27970i −0.442273 + 1.36118i 0.443175 + 0.896435i \(0.353852\pi\)
−0.885447 + 0.464740i \(0.846148\pi\)
\(38\) −0.356392 + 3.39084i −0.0578144 + 0.550067i
\(39\) 3.24885 3.31060i 0.520233 0.530120i
\(40\) 1.76638 + 1.96176i 0.279289 + 0.310182i
\(41\) 2.85529 + 0.606910i 0.445921 + 0.0947834i 0.425399 0.905006i \(-0.360134\pi\)
0.0205221 + 0.999789i \(0.493467\pi\)
\(42\) −2.07724 3.98366i −0.320525 0.614692i
\(43\) 1.11628 + 1.93346i 0.170232 + 0.294850i 0.938501 0.345277i \(-0.112215\pi\)
−0.768269 + 0.640127i \(0.778882\pi\)
\(44\) 5.16335 0.253209i 0.778404 0.0381728i
\(45\) 0.758035 + 3.26298i 0.113001 + 0.486416i
\(46\) 1.13637 0.825618i 0.167548 0.121731i
\(47\) 8.58861 9.53861i 1.25278 1.39135i 0.365044 0.930990i \(-0.381054\pi\)
0.887733 0.460359i \(-0.152279\pi\)
\(48\) −2.23313 + 1.48028i −0.322324 + 0.213660i
\(49\) 7.53259 3.35373i 1.07608 0.479104i
\(50\) 2.27774 1.01411i 0.322121 0.143418i
\(51\) −0.593068 9.58862i −0.0830462 1.34267i
\(52\) −2.79305 + 3.10200i −0.387326 + 0.430169i
\(53\) −4.56381 + 3.31581i −0.626888 + 0.455461i −0.855321 0.518099i \(-0.826640\pi\)
0.228433 + 0.973560i \(0.426640\pi\)
\(54\) 3.44070 0.277916i 0.468221 0.0378196i
\(55\) −0.970527 + 3.57399i −0.130866 + 0.481917i
\(56\) 4.61537 + 7.99405i 0.616755 + 1.06825i
\(57\) 4.77117 7.50058i 0.631956 0.993476i
\(58\) 0.703764 + 0.149590i 0.0924087 + 0.0196421i
\(59\) −1.58943 1.76524i −0.206927 0.229815i 0.630744 0.775991i \(-0.282750\pi\)
−0.837671 + 0.546176i \(0.816083\pi\)
\(60\) −0.807599 2.90437i −0.104261 0.374952i
\(61\) 0.426942 4.06208i 0.0546643 0.520096i −0.932589 0.360940i \(-0.882456\pi\)
0.987253 0.159156i \(-0.0508773\pi\)
\(62\) 0.0883065 0.271779i 0.0112149 0.0345160i
\(63\) 0.220502 + 11.7116i 0.0277806 + 1.47552i
\(64\) −0.590604 + 0.429099i −0.0738255 + 0.0536374i
\(65\) −1.49516 2.58969i −0.185452 0.321212i
\(66\) 3.49563 + 1.53107i 0.430283 + 0.188462i
\(67\) 4.87584 8.44521i 0.595679 1.03175i −0.397772 0.917484i \(-0.630216\pi\)
0.993451 0.114262i \(-0.0364503\pi\)
\(68\) 0.903682 + 8.59796i 0.109587 + 1.04266i
\(69\) −3.61157 + 0.606917i −0.434782 + 0.0730642i
\(70\) −2.83308 + 0.602190i −0.338618 + 0.0719754i
\(71\) −5.11062 3.71308i −0.606519 0.440662i 0.241668 0.970359i \(-0.422306\pi\)
−0.848187 + 0.529697i \(0.822306\pi\)
\(72\) −7.03825 + 0.873994i −0.829466 + 0.103001i
\(73\) −3.60705 + 11.1014i −0.422174 + 1.29932i 0.483501 + 0.875344i \(0.339365\pi\)
−0.905675 + 0.423973i \(0.860635\pi\)
\(74\) 3.86988 4.29793i 0.449864 0.499625i
\(75\) −6.49466 0.279099i −0.749938 0.0322275i
\(76\) −3.99983 + 6.92792i −0.458812 + 0.794686i
\(77\) −5.91786 + 11.5186i −0.674403 + 1.31267i
\(78\) −2.86622 + 1.13131i −0.324536 + 0.128095i
\(79\) 4.12439 + 1.83630i 0.464030 + 0.206600i 0.625416 0.780292i \(-0.284929\pi\)
−0.161385 + 0.986891i \(0.551596\pi\)
\(80\) 0.533744 + 1.64269i 0.0596744 + 0.183659i
\(81\) −8.35388 3.34855i −0.928208 0.372061i
\(82\) −1.56885 1.13983i −0.173250 0.125874i
\(83\) −0.0503831 + 0.479363i −0.00553026 + 0.0526169i −0.996939 0.0781834i \(-0.975088\pi\)
0.991409 + 0.130800i \(0.0417547\pi\)
\(84\) −0.650739 10.5210i −0.0710015 1.14794i
\(85\) −6.05809 1.28769i −0.657092 0.139669i
\(86\) −0.155030 1.47502i −0.0167174 0.159055i
\(87\) −1.46888 1.16676i −0.157481 0.125089i
\(88\) −7.31058 2.83448i −0.779310 0.302157i
\(89\) 16.0830 1.70480 0.852399 0.522891i \(-0.175147\pi\)
0.852399 + 0.522891i \(0.175147\pi\)
\(90\) 0.421626 2.18508i 0.0444433 0.230328i
\(91\) −3.23120 9.94461i −0.338722 1.04248i
\(92\) 3.22362 0.685201i 0.336085 0.0714371i
\(93\) −0.521857 + 0.531775i −0.0541141 + 0.0551425i
\(94\) −7.78968 + 3.46819i −0.803444 + 0.357716i
\(95\) −3.83471 4.25888i −0.393433 0.436952i
\(96\) 9.83148 1.65216i 1.00342 0.168623i
\(97\) 7.32266 + 3.26026i 0.743504 + 0.331029i 0.743289 0.668971i \(-0.233265\pi\)
0.000215058 1.00000i \(0.499932\pi\)
\(98\) −5.47762 −0.553323
\(99\) −6.38050 7.63474i −0.641264 0.767320i
\(100\) 5.84996 0.584996
\(101\) 1.60904 + 0.716391i 0.160106 + 0.0712836i 0.485225 0.874389i \(-0.338738\pi\)
−0.325119 + 0.945673i \(0.605404\pi\)
\(102\) −2.23095 + 5.97945i −0.220897 + 0.592054i
\(103\) 1.79840 + 1.99732i 0.177202 + 0.196802i 0.825202 0.564838i \(-0.191061\pi\)
−0.648001 + 0.761640i \(0.724395\pi\)
\(104\) 5.78373 2.57508i 0.567141 0.252507i
\(105\) 7.31233 + 1.88575i 0.713611 + 0.184030i
\(106\) 3.66566 0.779160i 0.356041 0.0756787i
\(107\) −3.17558 9.77342i −0.306995 0.944833i −0.978925 0.204219i \(-0.934535\pi\)
0.671931 0.740614i \(-0.265465\pi\)
\(108\) 7.64012 + 2.68783i 0.735171 + 0.258636i
\(109\) 2.36284 0.226319 0.113160 0.993577i \(-0.463903\pi\)
0.113160 + 0.993577i \(0.463903\pi\)
\(110\) 1.55470 1.90677i 0.148235 0.181803i
\(111\) −14.0259 + 5.53605i −1.33128 + 0.525459i
\(112\) 0.631319 + 6.00659i 0.0596540 + 0.567570i
\(113\) −1.49895 0.318611i −0.141009 0.0299724i 0.136866 0.990590i \(-0.456297\pi\)
−0.277875 + 0.960617i \(0.589630\pi\)
\(114\) −4.92224 + 3.26282i −0.461010 + 0.305591i
\(115\) −0.246788 + 2.34803i −0.0230131 + 0.218955i
\(116\) 1.36571 + 0.992247i 0.126803 + 0.0921279i
\(117\) 8.00439 + 0.689227i 0.740006 + 0.0637191i
\(118\) 0.487631 + 1.50077i 0.0448901 + 0.138157i
\(119\) −19.7845 8.80862i −1.81364 0.807485i
\(120\) −0.672725 + 4.52253i −0.0614111 + 0.412849i
\(121\) −2.21469 10.7747i −0.201335 0.979522i
\(122\) −1.35669 + 2.34986i −0.122829 + 0.212746i
\(123\) 2.33767 + 4.48311i 0.210781 + 0.404229i
\(124\) 0.448642 0.498267i 0.0402892 0.0447457i
\(125\) −3.02032 + 9.29560i −0.270146 + 0.831424i
\(126\) 3.03068 7.16717i 0.269995 0.638502i
\(127\) 6.19006 + 4.49734i 0.549279 + 0.399074i 0.827519 0.561437i \(-0.189751\pi\)
−0.278241 + 0.960511i \(0.589751\pi\)
\(128\) −10.7857 + 2.29256i −0.953328 + 0.202636i
\(129\) −1.35174 + 3.62297i −0.119014 + 0.318984i
\(130\) 0.207649 + 1.97565i 0.0182120 + 0.173276i
\(131\) 2.67956 4.64113i 0.234114 0.405498i −0.724901 0.688853i \(-0.758114\pi\)
0.959015 + 0.283356i \(0.0914477\pi\)
\(132\) 6.03152 + 6.61767i 0.524976 + 0.575995i
\(133\) −10.0197 17.3547i −0.868820 1.50484i
\(134\) −5.24101 + 3.80782i −0.452754 + 0.328945i
\(135\) −3.52264 + 4.61041i −0.303181 + 0.396801i
\(136\) 4.05203 12.4709i 0.347459 1.06937i
\(137\) −1.74889 + 16.6395i −0.149417 + 1.42161i 0.620869 + 0.783914i \(0.286780\pi\)
−0.770287 + 0.637698i \(0.779887\pi\)
\(138\) 2.35581 + 0.607529i 0.200539 + 0.0517163i
\(139\) 9.19393 + 10.2109i 0.779819 + 0.866077i 0.993848 0.110751i \(-0.0353255\pi\)
−0.214029 + 0.976827i \(0.568659\pi\)
\(140\) −6.64718 1.41290i −0.561790 0.119412i
\(141\) 22.2112 + 0.954494i 1.87052 + 0.0803829i
\(142\) 2.09828 + 3.63433i 0.176084 + 0.304986i
\(143\) 7.43273 + 4.86244i 0.621556 + 0.406618i
\(144\) −4.43959 1.35066i −0.369966 0.112555i
\(145\) −0.978384 + 0.710837i −0.0812503 + 0.0590318i
\(146\) 5.18870 5.76264i 0.429420 0.476919i
\(147\) 12.7854 + 6.36362i 1.05452 + 0.524863i
\(148\) 12.3964 5.51923i 1.01898 0.453678i
\(149\) 5.07900 2.26132i 0.416088 0.185254i −0.188005 0.982168i \(-0.560202\pi\)
0.604093 + 0.796914i \(0.293536\pi\)
\(150\) 3.86611 + 1.92426i 0.315666 + 0.157115i
\(151\) −0.109676 + 0.121807i −0.00892527 + 0.00991252i −0.747591 0.664159i \(-0.768790\pi\)
0.738666 + 0.674072i \(0.235456\pi\)
\(152\) 9.81611 7.13182i 0.796192 0.578467i
\(153\) 12.1539 11.3649i 0.982587 0.918801i
\(154\) 6.70385 5.39148i 0.540211 0.434458i
\(155\) 0.240165 + 0.415978i 0.0192905 + 0.0334121i
\(156\) −7.22317 0.310405i −0.578316 0.0248523i
\(157\) −23.3318 4.95932i −1.86208 0.395797i −0.867294 0.497797i \(-0.834142\pi\)
−0.994784 + 0.102000i \(0.967476\pi\)
\(158\) −2.00687 2.22885i −0.159658 0.177318i
\(159\) −9.46127 2.43993i −0.750328 0.193499i
\(160\) 0.671811 6.39185i 0.0531113 0.505320i
\(161\) −2.55114 + 7.85161i −0.201058 + 0.618794i
\(162\) 4.16507 + 4.28944i 0.327239 + 0.337010i
\(163\) 3.39466 2.46636i 0.265890 0.193180i −0.446850 0.894609i \(-0.647454\pi\)
0.712740 + 0.701429i \(0.247454\pi\)
\(164\) −2.27495 3.94033i −0.177644 0.307688i
\(165\) −5.84405 + 2.64444i −0.454959 + 0.205870i
\(166\) 0.160102 0.277306i 0.0124264 0.0215231i
\(167\) −1.65577 15.7536i −0.128128 1.21905i −0.849909 0.526930i \(-0.823343\pi\)
0.721781 0.692121i \(-0.243324\pi\)
\(168\) −5.58888 + 14.9795i −0.431191 + 1.15569i
\(169\) 5.70093 1.21177i 0.438533 0.0932131i
\(170\) 3.32864 + 2.41840i 0.255295 + 0.185482i
\(171\) 15.2797 1.89739i 1.16847 0.145097i
\(172\) 1.07533 3.30954i 0.0819935 0.252350i
\(173\) −1.74167 + 1.93432i −0.132417 + 0.147064i −0.805706 0.592315i \(-0.798214\pi\)
0.673290 + 0.739379i \(0.264881\pi\)
\(174\) 0.576183 + 1.10499i 0.0436803 + 0.0837688i
\(175\) −7.32717 + 12.6910i −0.553882 + 0.959352i
\(176\) −3.61544 3.63981i −0.272524 0.274361i
\(177\) 0.605335 4.06949i 0.0454997 0.305881i
\(178\) −9.76059 4.34569i −0.731587 0.325724i
\(179\) 2.34483 + 7.21663i 0.175261 + 0.539396i 0.999645 0.0266334i \(-0.00847867\pi\)
−0.824385 + 0.566030i \(0.808479\pi\)
\(180\) 2.98898 4.28120i 0.222786 0.319102i
\(181\) 1.94179 + 1.41080i 0.144332 + 0.104864i 0.657608 0.753360i \(-0.271568\pi\)
−0.513276 + 0.858224i \(0.671568\pi\)
\(182\) −0.726095 + 6.90833i −0.0538218 + 0.512080i
\(183\) 5.89663 3.90871i 0.435891 0.288940i
\(184\) −4.88937 1.03927i −0.360449 0.0766159i
\(185\) 1.01613 + 9.66784i 0.0747074 + 0.710794i
\(186\) 0.460396 0.181720i 0.0337579 0.0133243i
\(187\) 17.7850 4.70149i 1.30056 0.343807i
\(188\) −20.0064 −1.45911
\(189\) −15.4004 + 13.2081i −1.12022 + 0.960749i
\(190\) 1.17647 + 3.62081i 0.0853504 + 0.262681i
\(191\) 16.1573 3.43433i 1.16910 0.248500i 0.417849 0.908517i \(-0.362784\pi\)
0.751251 + 0.660017i \(0.229451\pi\)
\(192\) −1.22438 0.315751i −0.0883623 0.0227874i
\(193\) −7.43166 + 3.30879i −0.534942 + 0.238172i −0.656384 0.754427i \(-0.727915\pi\)
0.121442 + 0.992599i \(0.461248\pi\)
\(194\) −3.56310 3.95722i −0.255815 0.284112i
\(195\) 1.81053 4.85263i 0.129655 0.347504i
\(196\) −11.7409 5.22738i −0.838635 0.373384i
\(197\) −22.9072 −1.63207 −0.816035 0.578003i \(-0.803832\pi\)
−0.816035 + 0.578003i \(0.803832\pi\)
\(198\) 1.80931 + 6.35746i 0.128582 + 0.451805i
\(199\) 9.27177 0.657259 0.328629 0.944459i \(-0.393413\pi\)
0.328629 + 0.944459i \(0.393413\pi\)
\(200\) −8.10574 3.60891i −0.573162 0.255188i
\(201\) 16.6569 2.79915i 1.17488 0.197437i
\(202\) −0.782935 0.869537i −0.0550871 0.0611804i
\(203\) −3.86318 + 1.72000i −0.271142 + 0.120720i
\(204\) −10.4882 + 10.6875i −0.734319 + 0.748275i
\(205\) 3.18828 0.677690i 0.222679 0.0473319i
\(206\) −0.551741 1.69808i −0.0384416 0.118311i
\(207\) −4.79293 4.15490i −0.333132 0.288785i
\(208\) 4.14243 0.287226
\(209\) 15.8709 + 6.15351i 1.09781 + 0.425647i
\(210\) −3.92822 3.12025i −0.271073 0.215318i
\(211\) −0.440125 4.18751i −0.0302995 0.288280i −0.999171 0.0407153i \(-0.987036\pi\)
0.968871 0.247565i \(-0.0796303\pi\)
\(212\) 8.60065 + 1.82812i 0.590695 + 0.125556i
\(213\) −0.675455 10.9206i −0.0462814 0.748269i
\(214\) −0.713596 + 6.78942i −0.0487804 + 0.464115i
\(215\) 2.01683 + 1.46531i 0.137547 + 0.0999334i
\(216\) −8.92806 8.43755i −0.607477 0.574103i
\(217\) 0.519021 + 1.59738i 0.0352335 + 0.108437i
\(218\) −1.43398 0.638448i −0.0971212 0.0432412i
\(219\) −18.8058 + 7.42270i −1.27078 + 0.501580i
\(220\) 5.15206 2.60334i 0.347352 0.175517i
\(221\) −7.42687 + 12.8637i −0.499585 + 0.865307i
\(222\) 10.0080 + 0.430078i 0.671691 + 0.0288650i
\(223\) −4.58961 + 5.09728i −0.307343 + 0.341339i −0.876953 0.480576i \(-0.840428\pi\)
0.569610 + 0.821915i \(0.307094\pi\)
\(224\) 6.94477 21.3738i 0.464017 1.42810i
\(225\) −6.78844 8.98290i −0.452563 0.598860i
\(226\) 0.823601 + 0.598381i 0.0547851 + 0.0398037i
\(227\) −27.5152 + 5.84854i −1.82625 + 0.388181i −0.987664 0.156590i \(-0.949950\pi\)
−0.838585 + 0.544771i \(0.816617\pi\)
\(228\) −13.6642 + 2.29625i −0.904936 + 0.152073i
\(229\) 1.46703 + 13.9578i 0.0969438 + 0.922358i 0.929600 + 0.368569i \(0.120152\pi\)
−0.832657 + 0.553789i \(0.813181\pi\)
\(230\) 0.784218 1.35831i 0.0517098 0.0895640i
\(231\) −21.9111 + 4.79616i −1.44165 + 0.315564i
\(232\) −1.28021 2.21739i −0.0840499 0.145579i
\(233\) 11.7385 8.52854i 0.769017 0.558723i −0.132646 0.991163i \(-0.542347\pi\)
0.901663 + 0.432440i \(0.142347\pi\)
\(234\) −4.67153 2.58110i −0.305388 0.168732i
\(235\) 4.42895 13.6309i 0.288913 0.889182i
\(236\) −0.387010 + 3.68216i −0.0251922 + 0.239688i
\(237\) 2.09489 + 7.53387i 0.136078 + 0.489377i
\(238\) 9.62682 + 10.6917i 0.624014 + 0.693038i
\(239\) 24.5986 + 5.22859i 1.59115 + 0.338209i 0.916533 0.399959i \(-0.130976\pi\)
0.674617 + 0.738168i \(0.264309\pi\)
\(240\) −1.60568 + 2.52424i −0.103646 + 0.162939i
\(241\) −8.87110 15.3652i −0.571438 0.989759i −0.996419 0.0845570i \(-0.973053\pi\)
0.424981 0.905202i \(-0.360281\pi\)
\(242\) −1.56731 + 7.13747i −0.100750 + 0.458814i
\(243\) −4.73851 14.8508i −0.303976 0.952680i
\(244\) −5.15048 + 3.74205i −0.329726 + 0.239560i
\(245\) 6.16073 6.84218i 0.393594 0.437131i
\(246\) −0.207350 3.35239i −0.0132201 0.213741i
\(247\) −12.5562 + 5.59036i −0.798929 + 0.355706i
\(248\) −0.929029 + 0.413630i −0.0589934 + 0.0262655i
\(249\) −0.695857 + 0.461265i −0.0440982 + 0.0292315i
\(250\) 4.34470 4.82528i 0.274783 0.305177i
\(251\) 17.6993 12.8593i 1.11717 0.811670i 0.133390 0.991064i \(-0.457414\pi\)
0.983777 + 0.179394i \(0.0574136\pi\)
\(252\) 13.3358 12.4701i 0.840076 0.785541i
\(253\) −2.49108 6.55523i −0.156613 0.412124i
\(254\) −2.54147 4.40195i −0.159466 0.276203i
\(255\) −4.95986 9.51186i −0.310598 0.595656i
\(256\) 8.59329 + 1.82656i 0.537081 + 0.114160i
\(257\) 3.45520 + 3.83739i 0.215530 + 0.239370i 0.841209 0.540711i \(-0.181845\pi\)
−0.625679 + 0.780081i \(0.715178\pi\)
\(258\) 1.79929 1.83349i 0.112019 0.114148i
\(259\) −3.55315 + 33.8059i −0.220782 + 2.10060i
\(260\) −1.44031 + 4.43283i −0.0893244 + 0.274912i
\(261\) −0.0611627 3.24855i −0.00378587 0.201080i
\(262\) −2.88024 + 2.09262i −0.177942 + 0.129282i
\(263\) 13.9491 + 24.1605i 0.860135 + 1.48980i 0.871798 + 0.489866i \(0.162954\pi\)
−0.0116625 + 0.999932i \(0.503712\pi\)
\(264\) −4.27479 12.8904i −0.263095 0.793350i
\(265\) −3.14954 + 5.45516i −0.193475 + 0.335108i
\(266\) 1.39155 + 13.2397i 0.0853212 + 0.811777i
\(267\) 17.7337 + 21.4827i 1.08529 + 1.31472i
\(268\) −14.8676 + 3.16020i −0.908183 + 0.193040i
\(269\) −2.44290 1.77487i −0.148946 0.108216i 0.510816 0.859690i \(-0.329343\pi\)
−0.659763 + 0.751474i \(0.729343\pi\)
\(270\) 3.38359 1.84617i 0.205919 0.112354i
\(271\) −7.84125 + 24.1329i −0.476322 + 1.46597i 0.367845 + 0.929887i \(0.380096\pi\)
−0.844167 + 0.536081i \(0.819904\pi\)
\(272\) 5.74089 6.37590i 0.348093 0.386596i
\(273\) 9.72054 15.2813i 0.588314 0.924868i
\(274\) 5.55744 9.62577i 0.335737 0.581514i
\(275\) −1.90595 12.3010i −0.114933 0.741779i
\(276\) 4.46973 + 3.55038i 0.269046 + 0.213708i
\(277\) −9.65105 4.29692i −0.579875 0.258177i 0.0957707 0.995403i \(-0.469468\pi\)
−0.675646 + 0.737226i \(0.736135\pi\)
\(278\) −2.82066 8.68109i −0.169172 0.520657i
\(279\) −1.28573 0.110709i −0.0769746 0.00662799i
\(280\) 8.33875 + 6.05845i 0.498335 + 0.362062i
\(281\) 2.35926 22.4469i 0.140742 1.33907i −0.665019 0.746827i \(-0.731576\pi\)
0.805761 0.592241i \(-0.201757\pi\)
\(282\) −13.2218 6.58081i −0.787345 0.391882i
\(283\) 5.74880 + 1.22195i 0.341731 + 0.0726371i 0.375580 0.926790i \(-0.377443\pi\)
−0.0338497 + 0.999427i \(0.510777\pi\)
\(284\) 1.02922 + 9.79234i 0.0610728 + 0.581069i
\(285\) 1.46045 9.81817i 0.0865095 0.581578i
\(286\) −3.19697 4.95930i −0.189041 0.293250i
\(287\) 11.3977 0.672782
\(288\) 13.0474 + 11.3105i 0.768826 + 0.666480i
\(289\) 4.25344 + 13.0907i 0.250202 + 0.770044i
\(290\) 0.785839 0.167035i 0.0461461 0.00980865i
\(291\) 3.71939 + 13.3760i 0.218034 + 0.784117i
\(292\) 16.6210 7.40014i 0.972670 0.433061i
\(293\) 4.74689 + 5.27195i 0.277316 + 0.307991i 0.865672 0.500611i \(-0.166891\pi\)
−0.588356 + 0.808602i \(0.700225\pi\)
\(294\) −6.03982 7.31666i −0.352250 0.426716i
\(295\) −2.42308 1.07883i −0.141077 0.0628117i
\(296\) −20.5814 −1.19627
\(297\) 3.16263 16.9410i 0.183515 0.983017i
\(298\) −3.69339 −0.213953
\(299\) 5.17278 + 2.30307i 0.299150 + 0.133190i
\(300\) 6.45038 + 7.81400i 0.372413 + 0.451142i
\(301\) 5.83291 + 6.47811i 0.336204 + 0.373392i
\(302\) 0.0994733 0.0442884i 0.00572405 0.00254851i
\(303\) 0.817277 + 2.93917i 0.0469514 + 0.168851i
\(304\) 7.76540 1.65059i 0.445376 0.0946676i
\(305\) −1.40936 4.33757i −0.0806999 0.248369i
\(306\) −10.4469 + 3.61320i −0.597210 + 0.206553i
\(307\) −18.5370 −1.05796 −0.528981 0.848633i \(-0.677426\pi\)
−0.528981 + 0.848633i \(0.677426\pi\)
\(308\) 19.5144 5.15867i 1.11194 0.293942i
\(309\) −0.684919 + 4.60451i −0.0389637 + 0.261941i
\(310\) −0.0333543 0.317345i −0.00189440 0.0180240i
\(311\) −6.72598 1.42965i −0.381395 0.0810680i 0.0132247 0.999913i \(-0.495790\pi\)
−0.394620 + 0.918845i \(0.629124\pi\)
\(312\) 9.81698 + 4.88616i 0.555777 + 0.276624i
\(313\) 2.64727 25.1871i 0.149632 1.42366i −0.619715 0.784827i \(-0.712752\pi\)
0.769348 0.638830i \(-0.220581\pi\)
\(314\) 12.8197 + 9.31407i 0.723459 + 0.525624i
\(315\) 5.54398 + 11.8466i 0.312368 + 0.667483i
\(316\) −2.17455 6.69256i −0.122328 0.376486i
\(317\) 10.0301 + 4.46567i 0.563344 + 0.250817i 0.668593 0.743629i \(-0.266897\pi\)
−0.105248 + 0.994446i \(0.533564\pi\)
\(318\) 5.08265 + 4.03723i 0.285021 + 0.226397i
\(319\) 1.64149 3.19503i 0.0919060 0.178888i
\(320\) −0.407582 + 0.705953i −0.0227845 + 0.0394640i
\(321\) 9.55321 15.0183i 0.533208 0.838238i
\(322\) 3.66979 4.07571i 0.204509 0.227131i
\(323\) −8.79675 + 27.0736i −0.489464 + 1.50642i
\(324\) 4.83405 + 13.1689i 0.268558 + 0.731605i
\(325\) 8.13140 + 5.90780i 0.451049 + 0.327706i
\(326\) −2.72659 + 0.579555i −0.151012 + 0.0320986i
\(327\) 2.60536 + 3.15613i 0.144076 + 0.174535i
\(328\) 0.721351 + 6.86319i 0.0398299 + 0.378956i
\(329\) 25.0583 43.4023i 1.38151 2.39284i
\(330\) 4.26121 0.0257952i 0.234572 0.00141998i
\(331\) 1.85513 + 3.21317i 0.101967 + 0.176612i 0.912495 0.409088i \(-0.134153\pi\)
−0.810528 + 0.585700i \(0.800820\pi\)
\(332\) 0.607805 0.441596i 0.0333576 0.0242357i
\(333\) −22.8601 12.6306i −1.25273 0.692153i
\(334\) −3.25182 + 10.0081i −0.177931 + 0.547617i
\(335\) 1.13821 10.8293i 0.0621869 0.591668i
\(336\) −7.32711 + 7.46637i −0.399727 + 0.407324i
\(337\) −21.5428 23.9257i −1.17351 1.30331i −0.943976 0.330013i \(-0.892947\pi\)
−0.229533 0.973301i \(-0.573720\pi\)
\(338\) −3.78725 0.805004i −0.205999 0.0437864i
\(339\) −1.22721 2.35351i −0.0666530 0.127825i
\(340\) 4.82678 + 8.36023i 0.261769 + 0.453397i
\(341\) −1.19390 0.781045i −0.0646535 0.0422960i
\(342\) −9.78571 2.97712i −0.529151 0.160984i
\(343\) 3.93417 2.85834i 0.212425 0.154336i
\(344\) −3.53168 + 3.92233i −0.190416 + 0.211478i
\(345\) −3.40847 + 2.25938i −0.183506 + 0.121641i
\(346\) 1.57966 0.703310i 0.0849230 0.0378102i
\(347\) −19.6618 + 8.75398i −1.05550 + 0.469939i −0.859750 0.510715i \(-0.829381\pi\)
−0.195749 + 0.980654i \(0.562714\pi\)
\(348\) 0.180502 + 2.91832i 0.00967592 + 0.156438i
\(349\) −11.2547 + 12.4997i −0.602453 + 0.669092i −0.964810 0.262948i \(-0.915305\pi\)
0.362357 + 0.932039i \(0.381972\pi\)
\(350\) 7.87593 5.72219i 0.420986 0.305864i
\(351\) 7.90531 + 11.4517i 0.421954 + 0.611248i
\(352\) 6.78127 + 17.8448i 0.361443 + 0.951129i
\(353\) −1.56543 2.71140i −0.0833193 0.144313i 0.821355 0.570418i \(-0.193219\pi\)
−0.904674 + 0.426105i \(0.859885\pi\)
\(354\) −1.46696 + 2.30615i −0.0779680 + 0.122571i
\(355\) −6.89965 1.46657i −0.366195 0.0778372i
\(356\) −16.7740 18.6294i −0.889018 0.987355i
\(357\) −10.0491 36.1396i −0.531855 1.91271i
\(358\) 0.526915 5.01326i 0.0278483 0.264959i
\(359\) 2.62315 8.07323i 0.138445 0.426089i −0.857665 0.514208i \(-0.828086\pi\)
0.996110 + 0.0881197i \(0.0280858\pi\)
\(360\) −6.78268 + 4.08812i −0.357479 + 0.215463i
\(361\) −5.93893 + 4.31489i −0.312575 + 0.227099i
\(362\) −0.797247 1.38087i −0.0419024 0.0725770i
\(363\) 11.9502 14.8389i 0.627224 0.778839i
\(364\) −8.14907 + 14.1146i −0.427127 + 0.739806i
\(365\) 1.36242 + 12.9626i 0.0713124 + 0.678492i
\(366\) −4.63474 + 0.778858i −0.242262 + 0.0407116i
\(367\) 10.7703 2.28931i 0.562208 0.119501i 0.0819628 0.996635i \(-0.473881\pi\)
0.480245 + 0.877134i \(0.340548\pi\)
\(368\) −2.64596 1.92241i −0.137930 0.100212i
\(369\) −3.41066 + 8.06576i −0.177552 + 0.419887i
\(370\) 1.99561 6.14185i 0.103747 0.319300i
\(371\) −14.7384 + 16.3687i −0.765181 + 0.849820i
\(372\) 1.16024 + 0.0498598i 0.0601558 + 0.00258511i
\(373\) −5.50342 + 9.53220i −0.284956 + 0.493558i −0.972599 0.232491i \(-0.925312\pi\)
0.687642 + 0.726050i \(0.258646\pi\)
\(374\) −12.0638 1.95229i −0.623805 0.100950i
\(375\) −15.7468 + 6.21531i −0.813161 + 0.320957i
\(376\) 27.7210 + 12.3422i 1.42960 + 0.636499i
\(377\) 0.896269 + 2.75843i 0.0461602 + 0.142067i
\(378\) 12.9152 3.85459i 0.664286 0.198259i
\(379\) −20.5384 14.9220i −1.05499 0.766492i −0.0818315 0.996646i \(-0.526077\pi\)
−0.973154 + 0.230154i \(0.926077\pi\)
\(380\) −0.933713 + 8.88368i −0.0478984 + 0.455723i
\(381\) 0.818121 + 13.2272i 0.0419136 + 0.677651i
\(382\) −10.7336 2.28150i −0.549179 0.116732i
\(383\) 1.26633 + 12.0484i 0.0647067 + 0.615643i 0.978038 + 0.208426i \(0.0668340\pi\)
−0.913331 + 0.407217i \(0.866499\pi\)
\(384\) −14.9549 11.8789i −0.763166 0.606195i
\(385\) −0.805292 + 14.4377i −0.0410415 + 0.735814i
\(386\) 5.40422 0.275068
\(387\) −6.32980 + 2.18925i −0.321762 + 0.111286i
\(388\) −3.86080 11.8823i −0.196003 0.603234i
\(389\) −14.0375 + 2.98376i −0.711728 + 0.151283i −0.549528 0.835475i \(-0.685192\pi\)
−0.162200 + 0.986758i \(0.551859\pi\)
\(390\) −2.40999 + 2.45579i −0.122034 + 0.124354i
\(391\) 10.7136 4.77002i 0.541812 0.241230i
\(392\) 13.0434 + 14.4862i 0.658792 + 0.731663i
\(393\) 9.15391 1.53830i 0.461754 0.0775968i
\(394\) 13.9021 + 6.18960i 0.700376 + 0.311828i
\(395\) 5.04123 0.253652
\(396\) −2.18890 + 15.3534i −0.109996 + 0.771538i
\(397\) −5.03882 −0.252891 −0.126446 0.991974i \(-0.540357\pi\)
−0.126446 + 0.991974i \(0.540357\pi\)
\(398\) −5.62692 2.50527i −0.282052 0.125578i
\(399\) 12.1332 32.5196i 0.607417 1.62802i
\(400\) −3.88464 4.31433i −0.194232 0.215717i
\(401\) −16.6267 + 7.40268i −0.830297 + 0.369672i −0.777461 0.628931i \(-0.783493\pi\)
−0.0528362 + 0.998603i \(0.516826\pi\)
\(402\) −10.8652 2.80197i −0.541906 0.139750i
\(403\) 1.12680 0.239509i 0.0561301 0.0119308i
\(404\) −0.848352 2.61096i −0.0422071 0.129900i
\(405\) −10.0425 + 0.378288i −0.499015 + 0.0187973i
\(406\) 2.80926 0.139421
\(407\) −15.6444 24.2683i −0.775464 1.20294i
\(408\) 21.1257 8.33840i 1.04588 0.412812i
\(409\) −1.71745 16.3404i −0.0849224 0.807983i −0.951232 0.308476i \(-0.900181\pi\)
0.866310 0.499507i \(-0.166486\pi\)
\(410\) −2.11804 0.450203i −0.104603 0.0222340i
\(411\) −24.1544 + 16.0113i −1.19145 + 0.789780i
\(412\) 0.437891 4.16626i 0.0215733 0.205257i
\(413\) −7.50342 5.45155i −0.369219 0.268253i
\(414\) 1.78610 + 3.81662i 0.0877820 + 0.187577i
\(415\) 0.166318 + 0.511874i 0.00816423 + 0.0251269i
\(416\) −14.0814 6.26946i −0.690399 0.307386i
\(417\) −3.50150 + 23.5396i −0.171469 + 1.15274i
\(418\) −7.96912 8.02285i −0.389783 0.392410i
\(419\) 8.70324 15.0745i 0.425181 0.736435i −0.571256 0.820772i \(-0.693544\pi\)
0.996437 + 0.0843365i \(0.0268771\pi\)
\(420\) −5.44216 10.4368i −0.265550 0.509264i
\(421\) 3.04364 3.38030i 0.148338 0.164746i −0.664397 0.747380i \(-0.731311\pi\)
0.812734 + 0.582634i \(0.197978\pi\)
\(422\) −0.864374 + 2.66027i −0.0420771 + 0.129500i
\(423\) 23.2159 + 30.7208i 1.12880 + 1.49369i
\(424\) −10.7893 7.83890i −0.523976 0.380691i
\(425\) 20.3622 4.32812i 0.987712 0.209945i
\(426\) −2.54087 + 6.81009i −0.123105 + 0.329950i
\(427\) −1.66701 15.8606i −0.0806723 0.767546i
\(428\) −8.00879 + 13.8716i −0.387120 + 0.670511i
\(429\) 1.70065 + 15.2897i 0.0821080 + 0.738192i
\(430\) −0.828055 1.43423i −0.0399323 0.0691648i
\(431\) −10.1004 + 7.33838i −0.486520 + 0.353477i −0.803844 0.594840i \(-0.797216\pi\)
0.317325 + 0.948317i \(0.397216\pi\)
\(432\) −3.09113 7.41942i −0.148722 0.356967i
\(433\) 8.86451 27.2822i 0.426001 1.31110i −0.476031 0.879428i \(-0.657925\pi\)
0.902032 0.431668i \(-0.142075\pi\)
\(434\) 0.116631 1.10967i 0.00559848 0.0532660i
\(435\) −2.02829 0.523068i −0.0972492 0.0250792i
\(436\) −2.46435 2.73694i −0.118021 0.131075i
\(437\) 10.6146 + 2.25620i 0.507764 + 0.107929i
\(438\) 13.4186 + 0.576646i 0.641167 + 0.0275532i
\(439\) 2.05404 + 3.55769i 0.0980338 + 0.169799i 0.910871 0.412692i \(-0.135411\pi\)
−0.812837 + 0.582491i \(0.802078\pi\)
\(440\) −8.74476 + 0.428841i −0.416890 + 0.0204442i
\(441\) 5.59753 + 24.0947i 0.266549 + 1.14737i
\(442\) 7.98309 5.80005i 0.379717 0.275880i
\(443\) −14.2054 + 15.7767i −0.674921 + 0.749576i −0.979176 0.203015i \(-0.934926\pi\)
0.304255 + 0.952591i \(0.401593\pi\)
\(444\) 21.0409 + 10.4726i 0.998559 + 0.497008i
\(445\) 16.4061 7.30446i 0.777723 0.346265i
\(446\) 4.16267 1.85334i 0.197108 0.0877583i
\(447\) 8.62081 + 4.29080i 0.407751 + 0.202948i
\(448\) −1.90730 + 2.11827i −0.0901116 + 0.100079i
\(449\) −20.9494 + 15.2206i −0.988663 + 0.718306i −0.959628 0.281273i \(-0.909243\pi\)
−0.0290350 + 0.999578i \(0.509243\pi\)
\(450\) 1.69261 + 7.28586i 0.0797903 + 0.343459i
\(451\) −7.54435 + 6.06744i −0.355249 + 0.285705i
\(452\) 1.19428 + 2.06856i 0.0561744 + 0.0972970i
\(453\) −0.283634 0.0121888i −0.0133263 0.000572679i
\(454\) 18.2789 + 3.88530i 0.857872 + 0.182346i
\(455\) −7.81266 8.67684i −0.366263 0.406776i
\(456\) 20.3498 + 5.24793i 0.952969 + 0.245757i
\(457\) 1.07705 10.2474i 0.0503821 0.479354i −0.940018 0.341124i \(-0.889192\pi\)
0.990400 0.138229i \(-0.0441411\pi\)
\(458\) 2.88113 8.86721i 0.134626 0.414338i
\(459\) 28.5819 + 3.70305i 1.33409 + 0.172844i
\(460\) 2.97717 2.16304i 0.138811 0.100852i
\(461\) 12.7266 + 22.0432i 0.592738 + 1.02665i 0.993862 + 0.110628i \(0.0352863\pi\)
−0.401124 + 0.916024i \(0.631380\pi\)
\(462\) 14.5935 + 3.00973i 0.678951 + 0.140025i
\(463\) 19.9277 34.5158i 0.926119 1.60409i 0.136368 0.990658i \(-0.456457\pi\)
0.789751 0.613427i \(-0.210210\pi\)
\(464\) −0.175115 1.66611i −0.00812951 0.0773471i
\(465\) −0.290822 + 0.779469i −0.0134866 + 0.0361470i
\(466\) −9.42840 + 2.00407i −0.436762 + 0.0928367i
\(467\) 14.0582 + 10.2139i 0.650537 + 0.472643i 0.863454 0.504427i \(-0.168296\pi\)
−0.212917 + 0.977070i \(0.568296\pi\)
\(468\) −7.54991 9.99052i −0.348995 0.461812i
\(469\) 11.7661 36.2123i 0.543308 1.67213i
\(470\) −6.37099 + 7.07570i −0.293872 + 0.326378i
\(471\) −19.1021 36.6334i −0.880179 1.68798i
\(472\) 2.80781 4.86327i 0.129240 0.223850i
\(473\) −7.30949 1.18289i −0.336091 0.0543896i
\(474\) 0.764314 5.13826i 0.0351061 0.236008i
\(475\) 17.5971 + 7.83475i 0.807412 + 0.359483i
\(476\) 10.4312 + 32.1039i 0.478112 + 1.47148i
\(477\) −7.17324 15.3281i −0.328440 0.701826i
\(478\) −13.5158 9.81979i −0.618197 0.449147i
\(479\) 2.28875 21.7760i 0.104576 0.994972i −0.808863 0.587997i \(-0.799917\pi\)
0.913439 0.406975i \(-0.133416\pi\)
\(480\) 9.27859 6.15053i 0.423508 0.280732i
\(481\) 22.8047 + 4.84729i 1.03980 + 0.221017i
\(482\) 1.23203 + 11.7219i 0.0561172 + 0.533920i
\(483\) −13.3007 + 5.24982i −0.605202 + 0.238875i
\(484\) −10.1708 + 13.8029i −0.462310 + 0.627407i
\(485\) 8.95046 0.406420
\(486\) −1.13700 + 10.2931i −0.0515753 + 0.466906i
\(487\) 1.01084 + 3.11106i 0.0458057 + 0.140975i 0.971344 0.237679i \(-0.0763867\pi\)
−0.925538 + 0.378655i \(0.876387\pi\)
\(488\) 9.44506 2.00761i 0.427558 0.0908802i
\(489\) 7.03748 + 1.81487i 0.318246 + 0.0820711i
\(490\) −5.58764 + 2.48778i −0.252424 + 0.112386i
\(491\) −4.83373 5.36841i −0.218143 0.242273i 0.624134 0.781318i \(-0.285452\pi\)
−0.842277 + 0.539045i \(0.818785\pi\)
\(492\) 2.75480 7.38349i 0.124196 0.332873i
\(493\) 5.48781 + 2.44333i 0.247159 + 0.110042i
\(494\) 9.13071 0.410810
\(495\) −9.97614 4.89025i −0.448394 0.219800i
\(496\) −0.665390 −0.0298769
\(497\) −22.5328 10.0323i −1.01074 0.450009i
\(498\) 0.546942 0.0919125i 0.0245091 0.00411870i
\(499\) 9.92622 + 11.0242i 0.444359 + 0.493511i 0.923162 0.384412i \(-0.125596\pi\)
−0.478803 + 0.877922i \(0.658929\pi\)
\(500\) 13.9174 6.19642i 0.622405 0.277112i
\(501\) 19.2170 19.5822i 0.858551 0.874868i
\(502\) −14.2161 + 3.02172i −0.634494 + 0.134866i
\(503\) −10.1918 31.3671i −0.454430 1.39859i −0.871803 0.489856i \(-0.837049\pi\)
0.417374 0.908735i \(-0.362951\pi\)
\(504\) −26.1711 + 9.05162i −1.16575 + 0.403191i
\(505\) 1.96673 0.0875181
\(506\) −0.259440 + 4.65138i −0.0115335 + 0.206779i
\(507\) 7.90466 + 6.27880i 0.351058 + 0.278851i
\(508\) −1.24660 11.8606i −0.0553090 0.526230i
\(509\) −37.8244 8.03982i −1.67654 0.356359i −0.731126 0.682243i \(-0.761005\pi\)
−0.945410 + 0.325884i \(0.894338\pi\)
\(510\) 0.439936 + 7.11279i 0.0194807 + 0.314960i
\(511\) −4.76404 + 45.3268i −0.210749 + 2.00514i
\(512\) 13.1198 + 9.53213i 0.579821 + 0.421264i
\(513\) 19.3823 + 18.3175i 0.855751 + 0.808736i
\(514\) −1.06004 3.26247i −0.0467564 0.143901i
\(515\) 2.74165 + 1.22066i 0.120812 + 0.0537888i
\(516\) 5.60638 2.21285i 0.246807 0.0974155i
\(517\) 6.51820 + 42.0685i 0.286670 + 1.85017i
\(518\) 11.2908 19.5563i 0.496091 0.859255i
\(519\) −4.50418 0.193561i −0.197711 0.00849637i
\(520\) 4.73037 5.25361i 0.207440 0.230386i
\(521\) −5.40297 + 16.6286i −0.236708 + 0.728514i 0.760182 + 0.649710i \(0.225110\pi\)
−0.996890 + 0.0788032i \(0.974890\pi\)
\(522\) −0.840650 + 1.98803i −0.0367942 + 0.0870136i
\(523\) −11.7211 8.51591i −0.512530 0.372375i 0.301253 0.953544i \(-0.402595\pi\)
−0.813782 + 0.581170i \(0.802595\pi\)
\(524\) −8.17061 + 1.73672i −0.356935 + 0.0758688i
\(525\) −25.0311 + 4.20642i −1.09245 + 0.183583i
\(526\) −1.93726 18.4318i −0.0844683 0.803663i
\(527\) 1.19296 2.06627i 0.0519663 0.0900082i
\(528\) 0.875316 8.84267i 0.0380933 0.384828i
\(529\) 9.26470 + 16.0469i 0.402813 + 0.697693i
\(530\) 3.38542 2.45965i 0.147053 0.106840i
\(531\) 6.10323 3.67860i 0.264857 0.159637i
\(532\) −9.65216 + 29.7063i −0.418474 + 1.28793i
\(533\) 0.817130 7.77447i 0.0353938 0.336750i
\(534\) −4.95768 17.8293i −0.214540 0.771549i
\(535\) −7.67818 8.52748i −0.331956 0.368675i
\(536\) 22.5502 + 4.79319i 0.974021 + 0.207034i
\(537\) −7.05403 + 11.0894i −0.304404 + 0.478543i
\(538\) 1.00299 + 1.73722i 0.0432418 + 0.0748971i
\(539\) −7.16664 + 26.3913i −0.308689 + 1.13675i
\(540\) 9.01432 0.728114i 0.387915 0.0313330i
\(541\) −26.7771 + 19.4547i −1.15124 + 0.836422i −0.988645 0.150272i \(-0.951985\pi\)
−0.162591 + 0.986694i \(0.551985\pi\)
\(542\) 11.2795 12.5272i 0.484498 0.538089i
\(543\) 0.256641 + 4.14932i 0.0110135 + 0.178064i
\(544\) −29.1649 + 12.9850i −1.25043 + 0.556729i
\(545\) 2.41030 1.07314i 0.103246 0.0459681i
\(546\) −10.0283 + 6.64751i −0.429173 + 0.284487i
\(547\) 6.16546 6.84744i 0.263616 0.292775i −0.596776 0.802408i \(-0.703552\pi\)
0.860392 + 0.509633i \(0.170219\pi\)
\(548\) 21.0980 15.3286i 0.901262 0.654805i
\(549\) 11.7229 + 3.56645i 0.500319 + 0.152213i
\(550\) −2.16708 + 7.98032i −0.0924046 + 0.340282i
\(551\) 2.77927 + 4.81383i 0.118401 + 0.205076i
\(552\) −4.00301 7.67685i −0.170380 0.326749i
\(553\) 17.2427 + 3.66504i 0.733232 + 0.155853i
\(554\) 4.69605 + 5.21549i 0.199516 + 0.221585i
\(555\) −11.7933 + 12.0174i −0.500596 + 0.510110i
\(556\) 2.23863 21.2991i 0.0949388 0.903283i
\(557\) 11.4496 35.2384i 0.485137 1.49310i −0.346645 0.937996i \(-0.612679\pi\)
0.831782 0.555102i \(-0.187321\pi\)
\(558\) 0.750379 + 0.414597i 0.0317661 + 0.0175513i
\(559\) 4.83697 3.51427i 0.204582 0.148638i
\(560\) 3.37202 + 5.84052i 0.142494 + 0.246807i
\(561\) 25.8903 + 18.5720i 1.09309 + 0.784110i
\(562\) −7.49703 + 12.9852i −0.316243 + 0.547749i
\(563\) 2.82165 + 26.8462i 0.118918 + 1.13143i 0.877407 + 0.479746i \(0.159271\pi\)
−0.758489 + 0.651686i \(0.774062\pi\)
\(564\) −22.0598 26.7232i −0.928883 1.12525i
\(565\) −1.67376 + 0.355768i −0.0704155 + 0.0149673i
\(566\) −3.15870 2.29493i −0.132770 0.0964630i
\(567\) −34.6236 6.00715i −1.45406 0.252277i
\(568\) 4.61492 14.2033i 0.193638 0.595956i
\(569\) −18.3848 + 20.4184i −0.770733 + 0.855985i −0.992891 0.119025i \(-0.962023\pi\)
0.222159 + 0.975011i \(0.428690\pi\)
\(570\) −3.53923 + 5.56390i −0.148242 + 0.233046i
\(571\) 19.5052 33.7840i 0.816266 1.41381i −0.0921492 0.995745i \(-0.529374\pi\)
0.908415 0.418069i \(-0.137293\pi\)
\(572\) −2.11974 13.6808i −0.0886310 0.572024i
\(573\) 22.4030 + 17.7950i 0.935897 + 0.743398i
\(574\) −6.91709 3.07969i −0.288714 0.128544i
\(575\) −2.45223 7.54719i −0.102265 0.314739i
\(576\) −0.928290 1.98361i −0.0386788 0.0826506i
\(577\) 23.5957 + 17.1433i 0.982302 + 0.713684i 0.958222 0.286026i \(-0.0923344\pi\)
0.0240800 + 0.999710i \(0.492334\pi\)
\(578\) 0.955807 9.09390i 0.0397563 0.378256i
\(579\) −12.6141 6.27835i −0.524223 0.260919i
\(580\) 1.84379 + 0.391910i 0.0765594 + 0.0162732i
\(581\) 0.196723 + 1.87169i 0.00816144 + 0.0776509i
\(582\) 1.35700 9.12273i 0.0562496 0.378149i
\(583\) 1.04195 18.6807i 0.0431532 0.773674i
\(584\) −27.5954 −1.14191
\(585\) 8.47820 2.93230i 0.350530 0.121236i
\(586\) −1.45632 4.48210i −0.0601602 0.185154i
\(587\) 4.97675 1.05784i 0.205412 0.0436618i −0.104056 0.994571i \(-0.533182\pi\)
0.309469 + 0.950910i \(0.399849\pi\)
\(588\) −5.96353 21.4466i −0.245932 0.884444i
\(589\) 2.01687 0.897969i 0.0831037 0.0370002i
\(590\) 1.17903 + 1.30945i 0.0485401 + 0.0539092i
\(591\) −25.2583 30.5980i −1.03899 1.25863i
\(592\) −12.3022 5.47729i −0.505617 0.225115i
\(593\) 3.46422 0.142258 0.0711292 0.997467i \(-0.477340\pi\)
0.0711292 + 0.997467i \(0.477340\pi\)
\(594\) −6.49688 + 9.42672i −0.266570 + 0.386783i
\(595\) −24.1825 −0.991386
\(596\) −7.91653 3.52466i −0.324274 0.144376i
\(597\) 10.2234 + 12.3846i 0.418416 + 0.506870i
\(598\) −2.51700 2.79541i −0.102928 0.114313i
\(599\) 22.7243 10.1175i 0.928489 0.413390i 0.113942 0.993487i \(-0.463652\pi\)
0.814547 + 0.580097i \(0.196985\pi\)
\(600\) −4.11713 14.8065i −0.168081 0.604471i
\(601\) −10.8263 + 2.30119i −0.441612 + 0.0938676i −0.423351 0.905966i \(-0.639146\pi\)
−0.0182611 + 0.999833i \(0.505813\pi\)
\(602\) −1.78951 5.50755i −0.0729351 0.224471i
\(603\) 22.1054 + 19.1627i 0.900201 + 0.780367i
\(604\) 0.255479 0.0103953
\(605\) −7.15276 9.98532i −0.290801 0.405961i
\(606\) 0.298180 2.00458i 0.0121127 0.0814304i
\(607\) 2.92272 + 27.8078i 0.118630 + 1.12869i 0.878211 + 0.478273i \(0.158737\pi\)
−0.759582 + 0.650412i \(0.774596\pi\)
\(608\) −28.8952 6.14186i −1.17185 0.249085i
\(609\) −6.55715 3.26366i −0.265709 0.132250i
\(610\) −0.316703 + 3.01323i −0.0128229 + 0.122002i
\(611\) −27.8087 20.2042i −1.12502 0.817375i
\(612\) −25.8403 2.22501i −1.04453 0.0899407i
\(613\) 3.39680 + 10.4543i 0.137196 + 0.422245i 0.995925 0.0901845i \(-0.0287457\pi\)
−0.858729 + 0.512429i \(0.828746\pi\)
\(614\) 11.2499 + 5.00876i 0.454008 + 0.202137i
\(615\) 4.42073 + 3.51146i 0.178261 + 0.141596i
\(616\) −30.2217 4.89078i −1.21767 0.197055i
\(617\) −9.31311 + 16.1308i −0.374932 + 0.649401i −0.990317 0.138826i \(-0.955667\pi\)
0.615385 + 0.788227i \(0.289001\pi\)
\(618\) 1.65982 2.60935i 0.0667679 0.104963i
\(619\) 1.79895 1.99793i 0.0723057 0.0803036i −0.705906 0.708305i \(-0.749460\pi\)
0.778212 + 0.628001i \(0.216127\pi\)
\(620\) 0.231355 0.712036i 0.00929142 0.0285961i
\(621\) 0.264990 10.9834i 0.0106337 0.440750i
\(622\) 3.69561 + 2.68502i 0.148180 + 0.107659i
\(623\) 61.4246 13.0562i 2.46093 0.523086i
\(624\) 4.56759 + 5.53320i 0.182850 + 0.221505i
\(625\) −0.820749 7.80890i −0.0328299 0.312356i
\(626\) −8.41222 + 14.5704i −0.336220 + 0.582350i
\(627\) 9.28033 + 27.9844i 0.370621 + 1.11759i
\(628\) 18.5896 + 32.1981i 0.741805 + 1.28484i
\(629\) 39.0652 28.3826i 1.55763 1.13169i
\(630\) −0.163567 8.68758i −0.00651667 0.346121i
\(631\) −12.1224 + 37.3089i −0.482585 + 1.48524i 0.352863 + 0.935675i \(0.385208\pi\)
−0.835448 + 0.549569i \(0.814792\pi\)
\(632\) −1.11566 + 10.6148i −0.0443784 + 0.422233i
\(633\) 5.10811 5.20519i 0.203029 0.206888i
\(634\) −4.88047 5.42031i −0.193828 0.215268i
\(635\) 8.35695 + 1.77633i 0.331636 + 0.0704913i
\(636\) 7.04150 + 13.5040i 0.279213 + 0.535467i
\(637\) −11.0407 19.1230i −0.437447 0.757681i
\(638\) −1.85951 + 1.49549i −0.0736187 + 0.0592069i
\(639\) 13.8423 12.9437i 0.547593 0.512045i
\(640\) −9.96109 + 7.23716i −0.393747 + 0.286074i
\(641\) 17.2294 19.1352i 0.680521 0.755795i −0.299628 0.954056i \(-0.596863\pi\)
0.980149 + 0.198261i \(0.0635293\pi\)
\(642\) −9.85571 + 6.53308i −0.388974 + 0.257840i
\(643\) −12.1794 + 5.42264i −0.480310 + 0.213848i −0.632586 0.774490i \(-0.718007\pi\)
0.152276 + 0.988338i \(0.451340\pi\)
\(644\) 11.7555 5.23386i 0.463230 0.206243i
\(645\) 0.266558 + 4.30966i 0.0104957 + 0.169693i
\(646\) 12.6540 14.0537i 0.497866 0.552936i
\(647\) −19.2955 + 14.0190i −0.758585 + 0.551145i −0.898476 0.439022i \(-0.855325\pi\)
0.139891 + 0.990167i \(0.455325\pi\)
\(648\) 1.42595 21.2291i 0.0560165 0.833957i
\(649\) 7.86876 0.385882i 0.308876 0.0151472i
\(650\) −3.33853 5.78250i −0.130948 0.226808i
\(651\) −1.56139 + 2.45461i −0.0611958 + 0.0962037i
\(652\) −6.39733 1.35979i −0.250539 0.0532537i
\(653\) 8.51464 + 9.45647i 0.333204 + 0.370060i 0.886344 0.463028i \(-0.153237\pi\)
−0.553140 + 0.833088i \(0.686570\pi\)
\(654\) −0.728358 2.61939i −0.0284810 0.102426i
\(655\) 0.625511 5.95134i 0.0244407 0.232538i
\(656\) −1.39531 + 4.29433i −0.0544778 + 0.167666i
\(657\) −30.6507 16.9350i −1.19580 0.660698i
\(658\) −26.9350 + 19.5694i −1.05004 + 0.762896i
\(659\) 13.6263 + 23.6015i 0.530806 + 0.919383i 0.999354 + 0.0359452i \(0.0114442\pi\)
−0.468547 + 0.883438i \(0.655223\pi\)
\(660\) 9.15822 + 4.01125i 0.356483 + 0.156138i
\(661\) −21.8220 + 37.7968i −0.848777 + 1.47012i 0.0335234 + 0.999438i \(0.489327\pi\)
−0.882300 + 0.470687i \(0.844006\pi\)
\(662\) −0.257641 2.45129i −0.0100135 0.0952723i
\(663\) −25.3717 + 4.26366i −0.985354 + 0.165587i
\(664\) −1.11461 + 0.236917i −0.0432551 + 0.00919415i
\(665\) −18.1030 13.1526i −0.702003 0.510035i
\(666\) 10.4607 + 13.8422i 0.405343 + 0.536376i
\(667\) 0.707636 2.17788i 0.0273998 0.0843278i
\(668\) −16.5209 + 18.3483i −0.639212 + 0.709917i
\(669\) −11.8693 0.510066i −0.458893 0.0197203i
\(670\) −3.61688 + 6.26462i −0.139732 + 0.242023i
\(671\) 9.54666 + 9.61102i 0.368545 + 0.371029i
\(672\) 36.2074 14.2912i 1.39673 0.551294i
\(673\) −24.3795 10.8545i −0.939761 0.418408i −0.121070 0.992644i \(-0.538633\pi\)
−0.818690 + 0.574236i \(0.805299\pi\)
\(674\) 6.60922 + 20.3411i 0.254578 + 0.783510i
\(675\) 4.51360 18.9724i 0.173729 0.730250i
\(676\) −7.34946 5.33970i −0.282672 0.205373i
\(677\) −2.83095 + 26.9347i −0.108802 + 1.03518i 0.794817 + 0.606849i \(0.207567\pi\)
−0.903620 + 0.428336i \(0.859100\pi\)
\(678\) 0.108853 + 1.75991i 0.00418046 + 0.0675889i
\(679\) 30.6135 + 6.50711i 1.17484 + 0.249720i
\(680\) −1.53050 14.5617i −0.0586918 0.558415i
\(681\) −38.1514 30.3043i −1.46196 1.16126i
\(682\) 0.513524 + 0.796603i 0.0196638 + 0.0305035i
\(683\) −16.7343 −0.640322 −0.320161 0.947363i \(-0.603737\pi\)
−0.320161 + 0.947363i \(0.603737\pi\)
\(684\) −18.1339 15.7199i −0.693366 0.601065i
\(685\) 5.77319 + 17.7681i 0.220582 + 0.678883i
\(686\) −3.15993 + 0.671665i −0.120647 + 0.0256443i
\(687\) −17.0264 + 17.3500i −0.649596 + 0.661942i
\(688\) −3.15485 + 1.40463i −0.120278 + 0.0535510i
\(689\) 10.1086 + 11.2268i 0.385108 + 0.427706i
\(690\) 2.67905 0.450208i 0.101990 0.0171391i
\(691\) −34.2758 15.2606i −1.30391 0.580540i −0.367039 0.930205i \(-0.619629\pi\)
−0.936875 + 0.349665i \(0.886295\pi\)
\(692\) 4.05707 0.154226
\(693\) −30.5664 23.9791i −1.16112 0.910889i
\(694\) 14.2978 0.542738
\(695\) 14.0161 + 6.24037i 0.531661 + 0.236711i
\(696\) 1.55024 4.15500i 0.0587617 0.157495i
\(697\) −10.8338 12.0322i −0.410359 0.455750i
\(698\) 10.2078 4.54481i 0.386371 0.172024i
\(699\) 24.3352 + 6.27570i 0.920442 + 0.237369i
\(700\) 22.3423 4.74899i 0.844458 0.179495i
\(701\) 3.15219 + 9.70143i 0.119056 + 0.366418i 0.992771 0.120020i \(-0.0382959\pi\)
−0.873715 + 0.486438i \(0.838296\pi\)
\(702\) −1.70333 9.08595i −0.0642881 0.342927i
\(703\) 44.6811 1.68518
\(704\) 0.134839 2.41747i 0.00508193 0.0911117i
\(705\) 23.0908 9.11402i 0.869651 0.343254i
\(706\) 0.217408 + 2.06850i 0.00818225 + 0.0778489i
\(707\) 6.72685 + 1.42984i 0.252989 + 0.0537745i
\(708\) −5.34512 + 3.54314i −0.200882 + 0.133159i
\(709\) 1.51542 14.4183i 0.0569128 0.541489i −0.928503 0.371325i \(-0.878904\pi\)
0.985416 0.170164i \(-0.0544297\pi\)
\(710\) 3.79104 + 2.75435i 0.142275 + 0.103369i
\(711\) −7.75336 + 11.1053i −0.290774 + 0.416483i
\(712\) 11.7494 + 36.1610i 0.440329 + 1.35519i
\(713\) −0.830893 0.369938i −0.0311172 0.0138543i
\(714\) −3.66637 + 24.6479i −0.137210 + 0.922426i
\(715\) 9.79040 + 1.58438i 0.366140 + 0.0592525i
\(716\) 5.91364 10.2427i 0.221003 0.382789i
\(717\) 20.1393 + 38.6225i 0.752115 + 1.44238i
\(718\) −3.77337 + 4.19075i −0.140821 + 0.156397i
\(719\) 5.94135 18.2856i 0.221575 0.681938i −0.777046 0.629444i \(-0.783283\pi\)
0.998621 0.0524943i \(-0.0167171\pi\)
\(720\) −5.14220 + 0.638546i −0.191638 + 0.0237972i
\(721\) 8.48991 + 6.16828i 0.316181 + 0.229719i
\(722\) 4.77016 1.01393i 0.177527 0.0377345i
\(723\) 10.7423 28.7917i 0.399509 1.07077i
\(724\) −0.391054 3.72063i −0.0145334 0.138276i
\(725\) 2.03241 3.52023i 0.0754818 0.130738i
\(726\) −11.2620 + 5.77652i −0.417970 + 0.214387i
\(727\) −0.363414 0.629451i −0.0134783 0.0233450i 0.859208 0.511627i \(-0.170957\pi\)
−0.872686 + 0.488282i \(0.837624\pi\)
\(728\) 19.9989 14.5300i 0.741207 0.538519i
\(729\) 14.6119 22.7044i 0.541182 0.840905i
\(730\) 2.67570 8.23495i 0.0990320 0.304789i
\(731\) 1.29439 12.3153i 0.0478746 0.455496i
\(732\) −10.6775 2.75358i −0.394652 0.101775i
\(733\) −1.25521 1.39406i −0.0463624 0.0514907i 0.719518 0.694474i \(-0.244363\pi\)
−0.765880 + 0.642984i \(0.777696\pi\)
\(734\) −7.15496 1.52083i −0.264095 0.0561350i
\(735\) 15.9324 + 0.684672i 0.587675 + 0.0252545i
\(736\) 6.08497 + 10.5395i 0.224295 + 0.388490i
\(737\) 11.4891 + 30.2333i 0.423206 + 1.11366i
\(738\) 4.24928 3.97343i 0.156418 0.146264i
\(739\) 42.5402 30.9073i 1.56487 1.13694i 0.632993 0.774157i \(-0.281826\pi\)
0.931873 0.362784i \(-0.118174\pi\)
\(740\) 10.1387 11.2602i 0.372706 0.413932i
\(741\) −21.3121 10.6076i −0.782921 0.389679i
\(742\) 13.3674 5.95157i 0.490734 0.218489i
\(743\) −30.4510 + 13.5577i −1.11714 + 0.497383i −0.880420 0.474195i \(-0.842739\pi\)
−0.236720 + 0.971578i \(0.576072\pi\)
\(744\) −1.57688 0.784854i −0.0578113 0.0287741i
\(745\) 4.15399 4.61348i 0.152190 0.169025i
\(746\) 5.91558 4.29792i 0.216585 0.157358i
\(747\) −1.38341 0.420875i −0.0506162 0.0153990i
\(748\) −23.9948 15.6973i −0.877338 0.573949i
\(749\) −20.0623 34.7489i −0.733060 1.26970i
\(750\) 11.2359 + 0.482848i 0.410278 + 0.0176311i
\(751\) 22.8535 + 4.85766i 0.833937 + 0.177259i 0.605043 0.796193i \(-0.293156\pi\)
0.228894 + 0.973451i \(0.426489\pi\)
\(752\) 13.2852 + 14.7547i 0.484460 + 0.538047i
\(753\) 36.6924 + 9.46246i 1.33715 + 0.344831i
\(754\) 0.201404 1.91623i 0.00733470 0.0697851i
\(755\) −0.0565572 + 0.174065i −0.00205833 + 0.00633488i
\(756\) 31.3613 + 4.06314i 1.14060 + 0.147775i
\(757\) 27.3472 19.8689i 0.993952 0.722148i 0.0331687 0.999450i \(-0.489440\pi\)
0.960783 + 0.277302i \(0.0894401\pi\)
\(758\) 8.43250 + 14.6055i 0.306282 + 0.530496i
\(759\) 6.00930 10.5555i 0.218124 0.383139i
\(760\) 6.77421 11.7333i 0.245726 0.425611i
\(761\) −2.10227 20.0017i −0.0762071 0.725062i −0.964195 0.265195i \(-0.914564\pi\)
0.887988 0.459867i \(-0.152103\pi\)
\(762\) 3.07753 8.24848i 0.111487 0.298811i
\(763\) 9.02421 1.91815i 0.326698 0.0694419i
\(764\) −20.8294 15.1335i −0.753583 0.547510i
\(765\) 7.23642 17.1132i 0.261633 0.618729i
\(766\) 2.48699 7.65417i 0.0898586 0.276556i
\(767\) −4.25651 + 4.72733i −0.153694 + 0.170694i
\(768\) 7.03547 + 13.4924i 0.253871 + 0.486865i
\(769\) −0.313500 + 0.542997i −0.0113051 + 0.0195810i −0.871623 0.490178i \(-0.836932\pi\)
0.860318 + 0.509759i \(0.170265\pi\)
\(770\) 4.38984 8.54447i 0.158199 0.307921i
\(771\) −1.31591 + 8.84649i −0.0473914 + 0.318598i
\(772\) 11.5836 + 5.15733i 0.416902 + 0.185617i
\(773\) 8.88046 + 27.3313i 0.319408 + 0.983037i 0.973902 + 0.226970i \(0.0728818\pi\)
−0.654494 + 0.756067i \(0.727118\pi\)
\(774\) 4.43302 + 0.381710i 0.159342 + 0.0137203i
\(775\) −1.30613 0.948959i −0.0469176 0.0340876i
\(776\) −1.98080 + 18.8460i −0.0711064 + 0.676533i
\(777\) −49.0737 + 32.5296i −1.76051 + 1.16699i
\(778\) 9.32539 + 1.98217i 0.334331 + 0.0710643i
\(779\) −1.56601 14.8996i −0.0561083 0.533834i
\(780\) −7.50923 + 2.96392i −0.268874 + 0.106125i
\(781\) 20.2556 5.35460i 0.724801 0.191603i
\(782\) −7.79085 −0.278600
\(783\) 4.27176 3.66366i 0.152660 0.130929i
\(784\) 3.94131 + 12.1301i 0.140761 + 0.433218i
\(785\) −26.0528 + 5.53769i −0.929864 + 0.197649i
\(786\) −5.97104 1.53985i −0.212980 0.0549245i
\(787\) −12.8837 + 5.73618i −0.459254 + 0.204473i −0.623305 0.781979i \(-0.714210\pi\)
0.164051 + 0.986452i \(0.447544\pi\)
\(788\) 23.8913 + 26.5339i 0.851091 + 0.945233i
\(789\) −16.8913 + 45.2725i −0.601346 + 1.61174i
\(790\) −3.05946 1.36216i −0.108851 0.0484634i
\(791\) −5.98345 −0.212747
\(792\) 12.5047 19.9234i 0.444334 0.707948i
\(793\) −10.9382 −0.388426
\(794\) 3.05800 + 1.36151i 0.108524 + 0.0483181i
\(795\) −10.7595 + 1.80811i −0.381599 + 0.0641269i
\(796\) −9.67008 10.7397i −0.342747 0.380659i
\(797\) 23.8935 10.6381i 0.846351 0.376820i 0.0627086 0.998032i \(-0.480026\pi\)
0.783642 + 0.621212i \(0.213359\pi\)
\(798\) −16.1504 + 16.4573i −0.571717 + 0.582582i
\(799\) −69.6371 + 14.8018i −2.46358 + 0.523651i
\(800\) 6.67551 + 20.5451i 0.236015 + 0.726379i
\(801\) −9.14137 + 47.3752i −0.322994 + 1.67392i
\(802\) 12.0908 0.426939
\(803\) −20.9759 32.5388i −0.740223 1.14827i
\(804\) −20.6148 16.3746i −0.727026 0.577489i
\(805\) 0.963594 + 9.16798i 0.0339622 + 0.323129i
\(806\) −0.748559 0.159111i −0.0263669 0.00560445i
\(807\) −0.322870 5.22010i −0.0113656 0.183756i
\(808\) −0.435249 + 4.14112i −0.0153120 + 0.145684i
\(809\) −12.8256 9.31836i −0.450925 0.327616i 0.339036 0.940773i \(-0.389899\pi\)
−0.789961 + 0.613157i \(0.789899\pi\)
\(810\) 6.19687 + 2.48394i 0.217736 + 0.0872766i
\(811\) −11.2255 34.5484i −0.394179 1.21316i −0.929599 0.368573i \(-0.879846\pi\)
0.535420 0.844586i \(-0.320154\pi\)
\(812\) 6.02146 + 2.68093i 0.211312 + 0.0940820i
\(813\) −40.8812 + 16.1360i −1.43377 + 0.565913i
\(814\) 2.93699 + 18.9553i 0.102941 + 0.664383i
\(815\) 2.34269 4.05766i 0.0820608 0.142134i
\(816\) 14.8466 + 0.638013i 0.519736 + 0.0223349i
\(817\) 7.66710 8.51517i 0.268238 0.297908i
\(818\) −3.37295 + 10.3809i −0.117932 + 0.362958i
\(819\) 31.1300 3.86566i 1.08777 0.135077i
\(820\) −4.11023 2.98626i −0.143535 0.104285i
\(821\) 15.9993 3.40076i 0.558379 0.118687i 0.0799271 0.996801i \(-0.474531\pi\)
0.478452 + 0.878113i \(0.341198\pi\)
\(822\) 18.9853 3.19045i 0.662189 0.111280i
\(823\) 2.73598 + 26.0311i 0.0953703 + 0.907388i 0.932691 + 0.360676i \(0.117454\pi\)
−0.837321 + 0.546712i \(0.815879\pi\)
\(824\) −3.17696 + 5.50265i −0.110675 + 0.191694i
\(825\) 14.3293 16.1094i 0.498884 0.560857i
\(826\) 3.08070 + 5.33592i 0.107191 + 0.185661i
\(827\) −4.48139 + 3.25592i −0.155833 + 0.113219i −0.662969 0.748647i \(-0.730704\pi\)
0.507136 + 0.861866i \(0.330704\pi\)
\(828\) 0.186115 + 9.88515i 0.00646793 + 0.343533i
\(829\) 5.71784 17.5977i 0.198589 0.611194i −0.801327 0.598227i \(-0.795872\pi\)
0.999916 0.0129672i \(-0.00412771\pi\)
\(830\) 0.0373740 0.355590i 0.00129727 0.0123427i
\(831\) −4.90204 17.6292i −0.170050 0.611550i
\(832\) 1.30816 + 1.45286i 0.0453523 + 0.0503688i
\(833\) −44.7346 9.50862i −1.54996 0.329454i
\(834\) 8.48549 13.3397i 0.293829 0.461918i
\(835\) −8.84388 15.3180i −0.306055 0.530103i
\(836\) −9.42492 24.8015i −0.325968 0.857776i
\(837\) −1.26981 1.83947i −0.0438912 0.0635813i
\(838\) −9.35505 + 6.79684i −0.323165 + 0.234793i
\(839\) −12.0211 + 13.3508i −0.415015 + 0.460921i −0.914015 0.405681i \(-0.867034\pi\)
0.498999 + 0.866602i \(0.333701\pi\)
\(840\) 1.10211 + 17.8186i 0.0380263 + 0.614802i
\(841\) −25.4213 + 11.3183i −0.876595 + 0.390285i
\(842\) −2.76051 + 1.22906i −0.0951336 + 0.0423562i
\(843\) 32.5845 21.5994i 1.12227 0.743922i
\(844\) −4.39146 + 4.87721i −0.151160 + 0.167881i
\(845\) 5.26509 3.82531i 0.181125 0.131595i
\(846\) −5.78858 24.9170i −0.199015 0.856666i
\(847\) −17.2053 39.3532i −0.591182 1.35219i
\(848\) −4.36299 7.55692i −0.149826 0.259506i
\(849\) 4.70664 + 9.02624i 0.161531 + 0.309780i
\(850\) −13.5270 2.87526i −0.463973 0.0986206i
\(851\) −12.3169 13.6793i −0.422218 0.468921i
\(852\) −11.9451 + 12.1722i −0.409234 + 0.417011i
\(853\) −2.91771 + 27.7602i −0.0999006 + 0.950490i 0.823672 + 0.567067i \(0.191922\pi\)
−0.923573 + 0.383424i \(0.874745\pi\)
\(854\) −3.27389 + 10.0760i −0.112030 + 0.344794i
\(855\) 14.7248 8.87510i 0.503579 0.303522i
\(856\) 19.6546 14.2799i 0.671781 0.488077i
\(857\) 4.24983 + 7.36093i 0.145172 + 0.251445i 0.929437 0.368981i \(-0.120293\pi\)
−0.784265 + 0.620426i \(0.786960\pi\)
\(858\) 3.09922 9.73862i 0.105806 0.332471i
\(859\) −13.9259 + 24.1203i −0.475145 + 0.822974i −0.999595 0.0284667i \(-0.990938\pi\)
0.524450 + 0.851441i \(0.324271\pi\)
\(860\) −0.406165 3.86440i −0.0138501 0.131775i
\(861\) 12.5675 + 15.2243i 0.428298 + 0.518842i
\(862\) 8.11267 1.72440i 0.276318 0.0587333i
\(863\) −10.9978 7.99035i −0.374368 0.271995i 0.384652 0.923062i \(-0.374322\pi\)
−0.759020 + 0.651067i \(0.774322\pi\)
\(864\) −0.721361 + 29.8993i −0.0245412 + 1.01720i
\(865\) −0.898141 + 2.76419i −0.0305377 + 0.0939854i
\(866\) −12.7515 + 14.1620i −0.433313 + 0.481243i
\(867\) −12.7958 + 20.1158i −0.434568 + 0.683169i
\(868\) 1.30897 2.26720i 0.0444293 0.0769538i
\(869\) −13.3643 + 6.75301i −0.453354 + 0.229080i
\(870\) 1.08961 + 0.865495i 0.0369412 + 0.0293430i
\(871\) −23.8573 10.6220i −0.808374 0.359911i
\(872\) 1.72617 + 5.31260i 0.0584555 + 0.179907i
\(873\) −13.7657 + 19.7170i −0.465899 + 0.667320i
\(874\) −5.83221 4.23735i −0.197278 0.143331i
\(875\) −3.98911 + 37.9538i −0.134856 + 1.28307i
\(876\) 28.2116 + 14.0416i 0.953180 + 0.474422i
\(877\) −35.3874 7.52182i −1.19495 0.253994i −0.432856 0.901463i \(-0.642494\pi\)
−0.762092 + 0.647469i \(0.775827\pi\)
\(878\) −0.285266 2.71413i −0.00962727 0.0915973i
\(879\) −1.80785 + 12.1536i −0.0609772 + 0.409932i
\(880\) −5.34116 2.07089i −0.180051 0.0698098i
\(881\) 26.6423 0.897601 0.448800 0.893632i \(-0.351851\pi\)
0.448800 + 0.893632i \(0.351851\pi\)
\(882\) 3.11340 16.1352i 0.104834 0.543301i
\(883\) −6.32757 19.4743i −0.212940 0.655361i −0.999293 0.0375844i \(-0.988034\pi\)
0.786354 0.617776i \(-0.211966\pi\)
\(884\) 22.6463 4.81361i 0.761676 0.161899i
\(885\) −1.23075 4.42615i −0.0413713 0.148783i
\(886\) 12.8840 5.73634i 0.432847 0.192716i
\(887\) −21.4130 23.7815i −0.718977 0.798505i 0.267299 0.963614i \(-0.413869\pi\)
−0.986275 + 0.165109i \(0.947202\pi\)
\(888\) −22.6938 27.4913i −0.761554 0.922549i
\(889\) 27.2921 + 12.1512i 0.915348 + 0.407539i
\(890\) −11.9303 −0.399906
\(891\) 26.1160 14.4553i 0.874918 0.484272i
\(892\) 10.6911 0.357963
\(893\) −60.1807 26.7942i −2.01387 0.896633i
\(894\) −4.07247 4.93340i −0.136204 0.164998i
\(895\) 5.66951 + 6.29663i 0.189511 + 0.210473i
\(896\) −39.3317 + 17.5116i −1.31398 + 0.585022i
\(897\) 2.62740 + 9.44892i 0.0877263 + 0.315490i
\(898\) 16.8266 3.57660i 0.561510 0.119353i
\(899\) −0.143966 0.443082i −0.00480153 0.0147776i
\(900\) −3.32503 + 17.2320i −0.110834 + 0.574400i
\(901\) 31.2892 1.04239
\(902\) 6.21801 1.64374i 0.207037 0.0547307i
\(903\) −2.22146 + 14.9342i −0.0739256 + 0.496980i
\(904\) −0.378689 3.60298i −0.0125950 0.119833i
\(905\) 2.62154 + 0.557225i 0.0871429 + 0.0185228i
\(906\) 0.168841 + 0.0840362i 0.00560935 + 0.00279192i
\(907\) 5.12715 48.7816i 0.170244 1.61977i −0.492082 0.870549i \(-0.663764\pi\)
0.662326 0.749216i \(-0.269569\pi\)
\(908\) 35.4717 + 25.7717i 1.17717 + 0.855265i
\(909\) −3.02480 + 4.33251i −0.100326 + 0.143700i
\(910\) 2.39689 + 7.37687i 0.0794561 + 0.244541i
\(911\) −21.3599 9.51002i −0.707684 0.315081i 0.0211457 0.999776i \(-0.493269\pi\)
−0.728829 + 0.684695i \(0.759935\pi\)
\(912\) 10.7672 + 8.55253i 0.356536 + 0.283203i
\(913\) −1.12659 1.13419i −0.0372849 0.0375362i
\(914\) −3.42253 + 5.92800i −0.113207 + 0.196081i
\(915\) 4.23984 6.66531i 0.140165 0.220348i
\(916\) 14.6376 16.2567i 0.483641 0.537137i
\(917\) 6.46615 19.9008i 0.213531 0.657181i
\(918\) −16.3454 9.97027i −0.539479 0.329068i
\(919\) 6.14797 + 4.46676i 0.202803 + 0.147345i 0.684551 0.728965i \(-0.259998\pi\)
−0.481749 + 0.876309i \(0.659998\pi\)
\(920\) −5.45959 + 1.16047i −0.179997 + 0.0382596i
\(921\) −20.4396 24.7606i −0.673507 0.815888i
\(922\) −1.76748 16.8165i −0.0582090 0.553821i
\(923\) −8.45857 + 14.6507i −0.278417 + 0.482233i
\(924\) 28.4079 + 20.3780i 0.934551 + 0.670386i
\(925\) −16.3371 28.2967i −0.537160 0.930389i
\(926\) −21.4202 + 15.5627i −0.703910 + 0.511421i
\(927\) −6.90563 + 4.16223i −0.226811 + 0.136706i
\(928\) −1.92634 + 5.92866i −0.0632352 + 0.194618i
\(929\) 1.55504 14.7953i 0.0510193 0.485417i −0.938942 0.344076i \(-0.888192\pi\)
0.989961 0.141340i \(-0.0451412\pi\)
\(930\) 0.387111 0.394468i 0.0126939 0.0129351i
\(931\) −28.3166 31.4487i −0.928038 1.03069i
\(932\) −22.1216 4.70209i −0.724618 0.154022i
\(933\) −5.50667 10.5605i −0.180280 0.345736i
\(934\) −5.77192 9.99727i −0.188863 0.327121i
\(935\) 16.0069 12.8733i 0.523482 0.421003i
\(936\) 4.29794 + 18.5006i 0.140482 + 0.604710i
\(937\) −14.4192 + 10.4762i −0.471056 + 0.342242i −0.797853 0.602853i \(-0.794031\pi\)
0.326797 + 0.945095i \(0.394031\pi\)
\(938\) −16.9254 + 18.7975i −0.552633 + 0.613761i
\(939\) 36.5623 24.2361i 1.19316 0.790916i
\(940\) −20.4082 + 9.08632i −0.665643 + 0.296363i
\(941\) 38.9710 17.3510i 1.27042 0.565627i 0.342890 0.939376i \(-0.388594\pi\)
0.927530 + 0.373748i \(0.121928\pi\)
\(942\) 1.69434 + 27.3938i 0.0552047 + 0.892539i
\(943\) −4.12989 + 4.58671i −0.134488 + 0.149364i
\(944\) 2.97257 2.15970i 0.0967491 0.0702923i
\(945\) −9.71100 + 20.4678i −0.315899 + 0.665819i
\(946\) 4.11641 + 2.69293i 0.133836 + 0.0875548i
\(947\) −3.44670 5.96986i −0.112003 0.193994i 0.804575 0.593851i \(-0.202393\pi\)
−0.916578 + 0.399857i \(0.869060\pi\)
\(948\) 6.54177 10.2841i 0.212467 0.334012i
\(949\) 30.5764 + 6.49921i 0.992551 + 0.210973i
\(950\) −8.56249 9.50961i −0.277804 0.308533i
\(951\) 5.09455 + 18.3215i 0.165202 + 0.594116i
\(952\) 5.35175 50.9185i 0.173451 1.65028i
\(953\) −7.31766 + 22.5214i −0.237042 + 0.729541i 0.759802 + 0.650155i \(0.225296\pi\)
−0.996844 + 0.0793863i \(0.974704\pi\)
\(954\) 0.211636 + 11.2407i 0.00685197 + 0.363930i
\(955\) 14.9220 10.8415i 0.482866 0.350822i
\(956\) −19.5989 33.9463i −0.633874 1.09790i
\(957\) 6.07770 1.33036i 0.196464 0.0430043i
\(958\) −7.27297 + 12.5972i −0.234979 + 0.406996i
\(959\) 6.82860 + 64.9698i 0.220507 + 2.09798i
\(960\) −1.39238 + 0.233987i −0.0449390 + 0.00755190i
\(961\) 30.1416 6.40679i 0.972309 0.206671i
\(962\) −12.5301 9.10366i −0.403987 0.293514i
\(963\) 30.5942 3.79911i 0.985884 0.122425i
\(964\) −8.54567 + 26.3009i −0.275238 + 0.847094i
\(965\) −6.07817 + 6.75050i −0.195663 + 0.217306i
\(966\) 9.49053 + 0.407842i 0.305353 + 0.0131221i
\(967\) 15.5700 26.9680i 0.500696 0.867231i −0.499303 0.866427i \(-0.666411\pi\)
1.00000 0.000804082i \(-0.000255947\pi\)
\(968\) 22.6080 12.8510i 0.726647 0.413046i
\(969\) −45.8628 + 18.1022i −1.47333 + 0.581527i
\(970\) −5.43192 2.41845i −0.174408 0.0776516i
\(971\) 4.12687 + 12.7012i 0.132438 + 0.407601i 0.995183 0.0980383i \(-0.0312568\pi\)
−0.862745 + 0.505639i \(0.831257\pi\)
\(972\) −12.2600 + 20.9775i −0.393239 + 0.672854i
\(973\) 43.4028 + 31.5340i 1.39143 + 1.01093i
\(974\) 0.227151 2.16119i 0.00727838 0.0692491i
\(975\) 1.07470 + 17.3756i 0.0344180 + 0.556463i
\(976\) 6.17991 + 1.31358i 0.197814 + 0.0420467i
\(977\) 0.931968 + 8.86709i 0.0298163 + 0.283683i 0.999263 + 0.0383817i \(0.0122203\pi\)
−0.969447 + 0.245302i \(0.921113\pi\)
\(978\) −3.78057 3.00297i −0.120889 0.0960244i
\(979\) −33.7079 + 41.3411i −1.07731 + 1.32127i
\(980\) −14.3508 −0.458421
\(981\) −1.34301 + 6.96014i −0.0428789 + 0.222220i
\(982\) 1.48297 + 4.56411i 0.0473234 + 0.145647i
\(983\) 16.4901 3.50509i 0.525954 0.111795i 0.0627203 0.998031i \(-0.480022\pi\)
0.463234 + 0.886236i \(0.346689\pi\)
\(984\) −8.37203 + 8.53114i −0.266891 + 0.271963i
\(985\) −23.3673 + 10.4038i −0.744544 + 0.331492i
\(986\) −2.67029 2.96565i −0.0850392 0.0944456i
\(987\) 85.6042 14.3856i 2.72481 0.457899i
\(988\) 19.5710 + 8.71358i 0.622637 + 0.277216i
\(989\) −4.72049 −0.150103
\(990\) 4.73303 + 5.66342i 0.150425 + 0.179995i
\(991\) −33.5356 −1.06529 −0.532647 0.846338i \(-0.678803\pi\)
−0.532647 + 0.846338i \(0.678803\pi\)
\(992\) 2.26187 + 1.00705i 0.0718146 + 0.0319739i
\(993\) −2.24642 + 6.02092i −0.0712881 + 0.191068i
\(994\) 10.9641 + 12.1769i 0.347761 + 0.386228i
\(995\) 9.45801 4.21098i 0.299839 0.133497i
\(996\) 1.26004 + 0.324948i 0.0399260 + 0.0102964i
\(997\) 3.17279 0.674397i 0.100483 0.0213584i −0.157396 0.987536i \(-0.550310\pi\)
0.257879 + 0.966177i \(0.416976\pi\)
\(998\) −3.04532 9.37254i −0.0963980 0.296682i
\(999\) −8.33526 44.4621i −0.263716 1.40672i
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 99.2.m.b.58.4 yes 72
3.2 odd 2 297.2.n.b.91.6 72
9.2 odd 6 297.2.n.b.289.4 72
9.4 even 3 891.2.f.f.487.6 36
9.5 odd 6 891.2.f.e.487.4 36
9.7 even 3 inner 99.2.m.b.25.6 yes 72
11.2 odd 10 1089.2.e.o.364.8 36
11.4 even 5 inner 99.2.m.b.4.6 72
11.9 even 5 1089.2.e.p.364.11 36
33.26 odd 10 297.2.n.b.37.4 72
99.4 even 15 891.2.f.f.730.6 36
99.13 odd 30 9801.2.a.co.1.11 18
99.31 even 15 9801.2.a.cm.1.8 18
99.59 odd 30 891.2.f.e.730.4 36
99.68 even 30 9801.2.a.cn.1.8 18
99.70 even 15 inner 99.2.m.b.70.4 yes 72
99.79 odd 30 1089.2.e.o.727.8 36
99.86 odd 30 9801.2.a.cp.1.11 18
99.92 odd 30 297.2.n.b.235.6 72
99.97 even 15 1089.2.e.p.727.11 36
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
99.2.m.b.4.6 72 11.4 even 5 inner
99.2.m.b.25.6 yes 72 9.7 even 3 inner
99.2.m.b.58.4 yes 72 1.1 even 1 trivial
99.2.m.b.70.4 yes 72 99.70 even 15 inner
297.2.n.b.37.4 72 33.26 odd 10
297.2.n.b.91.6 72 3.2 odd 2
297.2.n.b.235.6 72 99.92 odd 30
297.2.n.b.289.4 72 9.2 odd 6
891.2.f.e.487.4 36 9.5 odd 6
891.2.f.e.730.4 36 99.59 odd 30
891.2.f.f.487.6 36 9.4 even 3
891.2.f.f.730.6 36 99.4 even 15
1089.2.e.o.364.8 36 11.2 odd 10
1089.2.e.o.727.8 36 99.79 odd 30
1089.2.e.p.364.11 36 11.9 even 5
1089.2.e.p.727.11 36 99.97 even 15
9801.2.a.cm.1.8 18 99.31 even 15
9801.2.a.cn.1.8 18 99.68 even 30
9801.2.a.co.1.11 18 99.13 odd 30
9801.2.a.cp.1.11 18 99.86 odd 30