Properties

Label 483.2.bf.a.19.1
Level $483$
Weight $2$
Character 483.19
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
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] = [483,2,Mod(10,483)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(483, base_ring=CyclotomicField(66))
 
chi = DirichletCharacter(H, H._module([0, 11, 9]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("483.10");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), 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: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 19.1
Character \(\chi\) \(=\) 483.19
Dual form 483.2.bf.a.178.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-2.78242 - 0.265689i) q^{2} +(0.690079 - 0.723734i) q^{3} +(5.70742 + 1.10001i) q^{4} +(0.0901076 - 0.0464537i) q^{5} +(-2.11238 + 1.83039i) q^{6} +(2.63520 - 0.236108i) q^{7} +(-10.2245 - 3.00217i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +O(q^{10})\) \(q+(-2.78242 - 0.265689i) q^{2} +(0.690079 - 0.723734i) q^{3} +(5.70742 + 1.10001i) q^{4} +(0.0901076 - 0.0464537i) q^{5} +(-2.11238 + 1.83039i) q^{6} +(2.63520 - 0.236108i) q^{7} +(-10.2245 - 3.00217i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +(-0.263059 + 0.105313i) q^{10} +(-0.291164 - 3.04921i) q^{11} +(4.73469 - 3.37155i) q^{12} +(-5.20984 - 0.749062i) q^{13} +(-7.39495 - 0.0431912i) q^{14} +(0.0285612 - 0.0972706i) q^{15} +(16.8589 + 6.74928i) q^{16} +(0.524494 - 1.51543i) q^{17} +(-0.132995 + 2.79191i) q^{18} +(-2.69452 - 7.78530i) q^{19} +(0.565381 - 0.166011i) q^{20} +(1.64761 - 2.07011i) q^{21} +8.56154i q^{22} +(4.54332 + 1.53566i) q^{23} +(-9.22846 + 5.32805i) q^{24} +(-2.89432 + 4.06451i) q^{25} +(14.2970 + 3.46840i) q^{26} +(-0.755750 - 0.654861i) q^{27} +(15.2999 + 1.55119i) q^{28} +(2.32069 + 2.67822i) q^{29} +(-0.105313 + 0.263059i) q^{30} +(4.80214 - 1.16499i) q^{31} +(-26.1723 - 13.4928i) q^{32} +(-2.40774 - 1.89347i) q^{33} +(-1.86199 + 4.07720i) q^{34} +(0.226483 - 0.143690i) q^{35} +(0.827198 - 5.75329i) q^{36} +(-2.77761 + 0.132314i) q^{37} +(5.42882 + 22.3779i) q^{38} +(-4.13733 + 3.25363i) q^{39} +(-1.06076 + 0.204445i) q^{40} +(1.21272 - 1.88703i) q^{41} +(-5.13436 + 5.32217i) q^{42} +(-2.33410 - 7.94921i) q^{43} +(1.69238 - 17.7234i) q^{44} +(-0.0506886 - 0.0877951i) q^{45} +(-12.2334 - 5.47995i) q^{46} +(1.46454 + 0.845553i) q^{47} +(16.5187 - 7.54382i) q^{48} +(6.88851 - 1.24438i) q^{49} +(9.13312 - 10.5402i) q^{50} +(-0.734823 - 1.42536i) q^{51} +(-28.9108 - 10.0061i) q^{52} +(-3.97193 - 5.05072i) q^{53} +(1.92882 + 2.02289i) q^{54} +(-0.167883 - 0.261231i) q^{55} +(-27.6523 - 5.49723i) q^{56} +(-7.49392 - 3.42236i) q^{57} +(-5.74557 - 8.06853i) q^{58} +(-2.85216 - 7.12436i) q^{59} +(0.270010 - 0.523746i) q^{60} +(5.20658 - 4.96446i) q^{61} +(-13.6711 + 1.96561i) q^{62} +(-0.361228 - 2.62098i) q^{63} +(38.6836 + 24.8604i) q^{64} +(-0.504243 + 0.174520i) q^{65} +(6.19628 + 5.90814i) q^{66} +(-2.83994 - 2.02232i) q^{67} +(4.66049 - 8.07221i) q^{68} +(4.24666 - 2.22843i) q^{69} +(-0.668347 + 0.339631i) q^{70} +(2.38473 + 5.22184i) q^{71} +(-2.51227 + 10.3557i) q^{72} +(-1.33979 + 6.95147i) q^{73} +(7.76365 + 0.369828i) q^{74} +(0.944311 + 4.89955i) q^{75} +(-6.81480 - 47.3980i) q^{76} +(-1.48722 - 7.96651i) q^{77} +(12.3762 - 7.95372i) q^{78} +(2.21869 - 2.82129i) q^{79} +(1.83264 - 0.174996i) q^{80} +(-0.995472 + 0.0950560i) q^{81} +(-3.87566 + 4.92831i) q^{82} +(-1.82142 + 1.17056i) q^{83} +(11.6808 - 10.0026i) q^{84} +(-0.0231362 - 0.160916i) q^{85} +(4.38243 + 22.7382i) q^{86} +(3.53978 + 0.168621i) q^{87} +(-6.17725 + 32.0506i) q^{88} +(-0.298459 + 1.23026i) q^{89} +(0.117711 + 0.257750i) q^{90} +(-13.9058 - 0.743841i) q^{91} +(24.2414 + 13.7623i) q^{92} +(2.47072 - 4.27941i) q^{93} +(-3.85031 - 2.74180i) q^{94} +(-0.604453 - 0.576344i) q^{95} +(-27.8261 + 9.63071i) q^{96} +(-3.47143 - 2.23095i) q^{97} +(-19.4973 + 1.63219i) q^{98} +(-3.03190 + 0.435922i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640 q - 4 q^{2} + 36 q^{4} + 24 q^{8} - 32 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 640 q - 4 q^{2} + 36 q^{4} + 24 q^{8} - 32 q^{9} + 4 q^{18} - 28 q^{23} + 56 q^{25} - 84 q^{26} - 176 q^{28} - 24 q^{29} + 12 q^{31} + 36 q^{32} - 76 q^{35} + 28 q^{36} + 44 q^{37} - 110 q^{42} - 88 q^{43} + 154 q^{44} + 8 q^{46} + 12 q^{47} - 8 q^{49} - 212 q^{50} + 44 q^{51} + 108 q^{52} - 110 q^{56} - 88 q^{57} + 2 q^{58} - 36 q^{59} - 168 q^{64} - 48 q^{70} + 16 q^{71} + 12 q^{72} - 48 q^{73} - 22 q^{74} + 48 q^{75} + 32 q^{78} - 44 q^{79} - 594 q^{80} + 32 q^{81} + 24 q^{82} + 352 q^{85} - 36 q^{87} - 330 q^{88} + 244 q^{92} - 24 q^{93} - 486 q^{94} - 154 q^{95} - 60 q^{96} - 24 q^{98} - 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{15}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.78242 0.265689i −1.96747 0.187870i −0.969180 0.246354i \(-0.920767\pi\)
−0.998288 + 0.0584833i \(0.981374\pi\)
\(3\) 0.690079 0.723734i 0.398417 0.417848i
\(4\) 5.70742 + 1.10001i 2.85371 + 0.550007i
\(5\) 0.0901076 0.0464537i 0.0402973 0.0207747i −0.437960 0.898994i \(-0.644299\pi\)
0.478257 + 0.878220i \(0.341269\pi\)
\(6\) −2.11238 + 1.83039i −0.862375 + 0.747252i
\(7\) 2.63520 0.236108i 0.996010 0.0892403i
\(8\) −10.2245 3.00217i −3.61489 1.06143i
\(9\) −0.0475819 0.998867i −0.0158606 0.332956i
\(10\) −0.263059 + 0.105313i −0.0831867 + 0.0333029i
\(11\) −0.291164 3.04921i −0.0877893 0.919371i −0.926875 0.375371i \(-0.877515\pi\)
0.839085 0.544000i \(-0.183091\pi\)
\(12\) 4.73469 3.37155i 1.36679 0.973284i
\(13\) −5.20984 0.749062i −1.44495 0.207753i −0.625196 0.780468i \(-0.714981\pi\)
−0.819754 + 0.572715i \(0.805890\pi\)
\(14\) −7.39495 0.0431912i −1.97638 0.0115433i
\(15\) 0.0285612 0.0972706i 0.00737448 0.0251152i
\(16\) 16.8589 + 6.74928i 4.21472 + 1.68732i
\(17\) 0.524494 1.51543i 0.127208 0.367545i −0.863355 0.504596i \(-0.831641\pi\)
0.990564 + 0.137052i \(0.0437626\pi\)
\(18\) −0.132995 + 2.79191i −0.0313472 + 0.658060i
\(19\) −2.69452 7.78530i −0.618165 1.78607i −0.618136 0.786071i \(-0.712112\pi\)
−2.92877e−5 1.00000i \(-0.500009\pi\)
\(20\) 0.565381 0.166011i 0.126423 0.0371212i
\(21\) 1.64761 2.07011i 0.359539 0.451736i
\(22\) 8.56154i 1.82533i
\(23\) 4.54332 + 1.53566i 0.947348 + 0.320206i
\(24\) −9.22846 + 5.32805i −1.88375 + 1.08758i
\(25\) −2.89432 + 4.06451i −0.578865 + 0.812902i
\(26\) 14.2970 + 3.46840i 2.80386 + 0.680210i
\(27\) −0.755750 0.654861i −0.145444 0.126028i
\(28\) 15.2999 + 1.55119i 2.89140 + 0.293147i
\(29\) 2.32069 + 2.67822i 0.430942 + 0.497334i 0.929139 0.369730i \(-0.120550\pi\)
−0.498197 + 0.867064i \(0.666004\pi\)
\(30\) −0.105313 + 0.263059i −0.0192274 + 0.0480278i
\(31\) 4.80214 1.16499i 0.862490 0.209238i 0.219970 0.975507i \(-0.429404\pi\)
0.642520 + 0.766269i \(0.277889\pi\)
\(32\) −26.1723 13.4928i −4.62665 2.38520i
\(33\) −2.40774 1.89347i −0.419134 0.329611i
\(34\) −1.86199 + 4.07720i −0.319329 + 0.699234i
\(35\) 0.226483 0.143690i 0.0382826 0.0242880i
\(36\) 0.827198 5.75329i 0.137866 0.958882i
\(37\) −2.77761 + 0.132314i −0.456637 + 0.0217523i −0.274641 0.961547i \(-0.588559\pi\)
−0.181996 + 0.983299i \(0.558256\pi\)
\(38\) 5.42882 + 22.3779i 0.880671 + 3.63017i
\(39\) −4.13733 + 3.25363i −0.662502 + 0.520998i
\(40\) −1.06076 + 0.204445i −0.167721 + 0.0323256i
\(41\) 1.21272 1.88703i 0.189395 0.294705i −0.733550 0.679635i \(-0.762138\pi\)
0.922946 + 0.384930i \(0.125775\pi\)
\(42\) −5.13436 + 5.32217i −0.792249 + 0.821229i
\(43\) −2.33410 7.94921i −0.355947 1.21224i −0.921777 0.387721i \(-0.873262\pi\)
0.565830 0.824522i \(-0.308556\pi\)
\(44\) 1.69238 17.7234i 0.255136 2.67190i
\(45\) −0.0506886 0.0877951i −0.00755620 0.0130877i
\(46\) −12.2334 5.47995i −1.80372 0.807975i
\(47\) 1.46454 + 0.845553i 0.213625 + 0.123337i 0.602995 0.797745i \(-0.293974\pi\)
−0.389370 + 0.921081i \(0.627307\pi\)
\(48\) 16.5187 7.54382i 2.38426 1.08886i
\(49\) 6.88851 1.24438i 0.984072 0.177769i
\(50\) 9.13312 10.5402i 1.29162 1.49061i
\(51\) −0.734823 1.42536i −0.102896 0.199590i
\(52\) −28.9108 10.0061i −4.00920 1.38760i
\(53\) −3.97193 5.05072i −0.545586 0.693769i 0.432580 0.901596i \(-0.357603\pi\)
−0.978166 + 0.207827i \(0.933361\pi\)
\(54\) 1.92882 + 2.02289i 0.262480 + 0.275281i
\(55\) −0.167883 0.261231i −0.0226373 0.0352244i
\(56\) −27.6523 5.49723i −3.69519 0.734599i
\(57\) −7.49392 3.42236i −0.992594 0.453303i
\(58\) −5.74557 8.06853i −0.754431 1.05945i
\(59\) −2.85216 7.12436i −0.371320 0.927513i −0.989897 0.141789i \(-0.954715\pi\)
0.618577 0.785724i \(-0.287710\pi\)
\(60\) 0.270010 0.523746i 0.0348581 0.0676153i
\(61\) 5.20658 4.96446i 0.666634 0.635634i −0.279220 0.960227i \(-0.590076\pi\)
0.945854 + 0.324593i \(0.105227\pi\)
\(62\) −13.6711 + 1.96561i −1.73623 + 0.249632i
\(63\) −0.361228 2.62098i −0.0455104 0.330212i
\(64\) 38.6836 + 24.8604i 4.83545 + 3.10755i
\(65\) −0.504243 + 0.174520i −0.0625436 + 0.0216466i
\(66\) 6.19628 + 5.90814i 0.762709 + 0.727242i
\(67\) −2.83994 2.02232i −0.346954 0.247065i 0.393273 0.919422i \(-0.371343\pi\)
−0.740227 + 0.672357i \(0.765282\pi\)
\(68\) 4.66049 8.07221i 0.565168 0.978900i
\(69\) 4.24666 2.22843i 0.511237 0.268272i
\(70\) −0.668347 + 0.339631i −0.0798828 + 0.0405937i
\(71\) 2.38473 + 5.22184i 0.283016 + 0.619718i 0.996738 0.0807113i \(-0.0257192\pi\)
−0.713722 + 0.700429i \(0.752992\pi\)
\(72\) −2.51227 + 10.3557i −0.296074 + 1.22043i
\(73\) −1.33979 + 6.95147i −0.156810 + 0.813608i 0.815292 + 0.579050i \(0.196576\pi\)
−0.972102 + 0.234558i \(0.924636\pi\)
\(74\) 7.76365 + 0.369828i 0.902505 + 0.0429916i
\(75\) 0.944311 + 4.89955i 0.109040 + 0.565752i
\(76\) −6.81480 47.3980i −0.781711 5.43692i
\(77\) −1.48722 7.96651i −0.169484 0.907869i
\(78\) 12.3762 7.95372i 1.40133 0.900582i
\(79\) 2.21869 2.82129i 0.249622 0.317420i −0.645053 0.764138i \(-0.723165\pi\)
0.894675 + 0.446718i \(0.147407\pi\)
\(80\) 1.83264 0.174996i 0.204896 0.0195652i
\(81\) −0.995472 + 0.0950560i −0.110608 + 0.0105618i
\(82\) −3.87566 + 4.92831i −0.427995 + 0.544240i
\(83\) −1.82142 + 1.17056i −0.199927 + 0.128485i −0.636774 0.771050i \(-0.719732\pi\)
0.436847 + 0.899536i \(0.356095\pi\)
\(84\) 11.6808 10.0026i 1.27448 1.09137i
\(85\) −0.0231362 0.160916i −0.00250948 0.0174538i
\(86\) 4.38243 + 22.7382i 0.472569 + 2.45192i
\(87\) 3.53978 + 0.168621i 0.379505 + 0.0180780i
\(88\) −6.17725 + 32.0506i −0.658497 + 3.41661i
\(89\) −0.298459 + 1.23026i −0.0316366 + 0.130408i −0.985440 0.170024i \(-0.945616\pi\)
0.953803 + 0.300432i \(0.0971307\pi\)
\(90\) 0.117711 + 0.257750i 0.0124078 + 0.0271693i
\(91\) −13.9058 0.743841i −1.45773 0.0779757i
\(92\) 24.2414 + 13.7623i 2.52734 + 1.43482i
\(93\) 2.47072 4.27941i 0.256201 0.443754i
\(94\) −3.85031 2.74180i −0.397130 0.282795i
\(95\) −0.604453 0.576344i −0.0620155 0.0591317i
\(96\) −27.8261 + 9.63071i −2.83999 + 0.982930i
\(97\) −3.47143 2.23095i −0.352470 0.226519i 0.352409 0.935846i \(-0.385363\pi\)
−0.704879 + 0.709327i \(0.748999\pi\)
\(98\) −19.4973 + 1.63219i −1.96953 + 0.164876i
\(99\) −3.03190 + 0.435922i −0.304718 + 0.0438118i
\(100\) −20.9901 + 20.0140i −2.09901 + 2.00140i
\(101\) −0.453265 + 0.879211i −0.0451015 + 0.0874848i −0.910309 0.413929i \(-0.864156\pi\)
0.865208 + 0.501414i \(0.167187\pi\)
\(102\) 1.66588 + 4.16118i 0.164947 + 0.412018i
\(103\) 1.36324 + 1.91440i 0.134324 + 0.188631i 0.876259 0.481840i \(-0.160031\pi\)
−0.741935 + 0.670471i \(0.766092\pi\)
\(104\) 51.0190 + 23.2996i 5.00282 + 2.28471i
\(105\) 0.0522981 0.263071i 0.00510377 0.0256731i
\(106\) 9.70965 + 15.1085i 0.943085 + 1.46747i
\(107\) 7.01864 + 7.36094i 0.678518 + 0.711609i 0.969492 0.245122i \(-0.0788280\pi\)
−0.290975 + 0.956731i \(0.593980\pi\)
\(108\) −3.59302 4.56890i −0.345739 0.439642i
\(109\) 7.06367 + 2.44476i 0.676577 + 0.234166i 0.643682 0.765293i \(-0.277406\pi\)
0.0328953 + 0.999459i \(0.489527\pi\)
\(110\) 0.397715 + 0.771460i 0.0379206 + 0.0735558i
\(111\) −1.82101 + 2.10156i −0.172843 + 0.199471i
\(112\) 46.0200 + 13.8052i 4.34849 + 1.30447i
\(113\) −9.84277 + 4.49504i −0.925930 + 0.422858i −0.820551 0.571574i \(-0.806333\pi\)
−0.105380 + 0.994432i \(0.533606\pi\)
\(114\) 19.9420 + 11.5135i 1.86774 + 1.07834i
\(115\) 0.480724 0.0726797i 0.0448278 0.00677742i
\(116\) 10.2991 + 17.8385i 0.956246 + 1.65627i
\(117\) −0.500320 + 5.23958i −0.0462546 + 0.484400i
\(118\) 6.04306 + 20.5808i 0.556308 + 1.89461i
\(119\) 1.02434 4.11728i 0.0939011 0.377430i
\(120\) −0.584046 + 0.908793i −0.0533159 + 0.0829611i
\(121\) 1.58832 0.306123i 0.144392 0.0278293i
\(122\) −15.8059 + 12.4299i −1.43100 + 1.12535i
\(123\) −0.528835 2.17989i −0.0476834 0.196554i
\(124\) 28.6893 1.36664i 2.57638 0.122728i
\(125\) −0.144126 + 1.00242i −0.0128911 + 0.0896593i
\(126\) 0.308724 + 7.38863i 0.0275033 + 0.658232i
\(127\) −4.35017 + 9.52555i −0.386015 + 0.845255i 0.612484 + 0.790483i \(0.290171\pi\)
−0.998499 + 0.0547722i \(0.982557\pi\)
\(128\) −54.7373 43.0459i −4.83814 3.80475i
\(129\) −7.36383 3.79632i −0.648349 0.334247i
\(130\) 1.44938 0.351617i 0.127119 0.0308388i
\(131\) 6.71816 16.7812i 0.586969 1.46618i −0.276120 0.961123i \(-0.589049\pi\)
0.863088 0.505053i \(-0.168527\pi\)
\(132\) −11.6591 13.4554i −1.01480 1.17114i
\(133\) −8.93876 19.8796i −0.775088 1.72378i
\(134\) 7.36461 + 6.38147i 0.636206 + 0.551275i
\(135\) −0.0985194 0.0239006i −0.00847920 0.00205703i
\(136\) −9.91223 + 13.9198i −0.849967 + 1.19361i
\(137\) 10.7247 6.19189i 0.916271 0.529009i 0.0338273 0.999428i \(-0.489230\pi\)
0.882443 + 0.470419i \(0.155897\pi\)
\(138\) −12.4081 + 5.07214i −1.05624 + 0.431770i
\(139\) 9.09357i 0.771307i 0.922644 + 0.385653i \(0.126024\pi\)
−0.922644 + 0.385653i \(0.873976\pi\)
\(140\) 1.45069 0.570962i 0.122606 0.0482551i
\(141\) 1.62260 0.476440i 0.136648 0.0401235i
\(142\) −5.24795 15.1629i −0.440398 1.27245i
\(143\) −0.767128 + 16.1040i −0.0641505 + 1.34668i
\(144\) 5.93946 17.1609i 0.494955 1.43008i
\(145\) 0.333525 + 0.133523i 0.0276978 + 0.0110885i
\(146\) 5.57477 18.9859i 0.461372 1.57129i
\(147\) 3.85301 5.84417i 0.317791 0.482019i
\(148\) −15.9985 2.30024i −1.31507 0.189079i
\(149\) 8.32145 5.92568i 0.681720 0.485450i −0.185971 0.982555i \(-0.559543\pi\)
0.867691 + 0.497105i \(0.165604\pi\)
\(150\) −1.32571 13.8835i −0.108244 1.13358i
\(151\) 11.1494 4.46354i 0.907325 0.363238i 0.129398 0.991593i \(-0.458696\pi\)
0.777927 + 0.628355i \(0.216271\pi\)
\(152\) 4.17718 + 87.6899i 0.338814 + 7.11259i
\(153\) −1.53867 0.451793i −0.124394 0.0365253i
\(154\) 2.02145 + 22.5613i 0.162893 + 1.81804i
\(155\) 0.378591 0.328051i 0.0304092 0.0263497i
\(156\) −27.1925 + 14.0187i −2.17714 + 1.12239i
\(157\) 0.638630 + 0.123086i 0.0509682 + 0.00982331i 0.214672 0.976686i \(-0.431132\pi\)
−0.163703 + 0.986510i \(0.552344\pi\)
\(158\) −6.92291 + 7.26054i −0.550757 + 0.577618i
\(159\) −6.39632 0.610774i −0.507261 0.0484375i
\(160\) −2.98511 −0.235994
\(161\) 12.3351 + 2.97404i 0.972143 + 0.234387i
\(162\) 2.79508 0.219602
\(163\) 5.43931 + 0.519391i 0.426040 + 0.0406819i 0.305874 0.952072i \(-0.401051\pi\)
0.120166 + 0.992754i \(0.461657\pi\)
\(164\) 8.99726 9.43606i 0.702568 0.736832i
\(165\) −0.304914 0.0587674i −0.0237376 0.00457504i
\(166\) 5.37897 2.77305i 0.417489 0.215231i
\(167\) 12.5735 10.8950i 0.972966 0.843080i −0.0146625 0.999892i \(-0.504667\pi\)
0.987628 + 0.156813i \(0.0501219\pi\)
\(168\) −23.0608 + 16.2194i −1.77918 + 1.25135i
\(169\) 14.1080 + 4.14247i 1.08523 + 0.318652i
\(170\) 0.0216211 + 0.453883i 0.00165826 + 0.0348112i
\(171\) −7.64828 + 3.06191i −0.584878 + 0.234150i
\(172\) −4.57743 47.9370i −0.349026 3.65516i
\(173\) 2.87192 2.04508i 0.218348 0.155485i −0.465650 0.884969i \(-0.654179\pi\)
0.683997 + 0.729484i \(0.260240\pi\)
\(174\) −9.80437 1.40966i −0.743267 0.106866i
\(175\) −6.66744 + 11.3941i −0.504011 + 0.861316i
\(176\) 15.6713 53.3715i 1.18127 4.02302i
\(177\) −7.12436 2.85216i −0.535500 0.214382i
\(178\) 1.15731 3.34381i 0.0867437 0.250629i
\(179\) −0.691159 + 14.5092i −0.0516597 + 1.08447i 0.813049 + 0.582196i \(0.197806\pi\)
−0.864708 + 0.502274i \(0.832497\pi\)
\(180\) −0.192725 0.556842i −0.0143649 0.0415045i
\(181\) −20.9100 + 6.13972i −1.55423 + 0.456362i −0.942360 0.334600i \(-0.891399\pi\)
−0.611865 + 0.790962i \(0.709581\pi\)
\(182\) 38.4942 + 5.76430i 2.85338 + 0.427278i
\(183\) 7.19405i 0.531799i
\(184\) −41.8427 29.3411i −3.08468 2.16305i
\(185\) −0.244138 + 0.140953i −0.0179494 + 0.0103631i
\(186\) −8.01156 + 11.2507i −0.587436 + 0.824939i
\(187\) −4.77356 1.15805i −0.349077 0.0846853i
\(188\) 7.42862 + 6.43694i 0.541788 + 0.469462i
\(189\) −2.14617 1.54725i −0.156111 0.112546i
\(190\) 1.52871 + 1.76423i 0.110904 + 0.127991i
\(191\) −4.85720 + 12.1327i −0.351454 + 0.877891i 0.642315 + 0.766440i \(0.277974\pi\)
−0.993770 + 0.111451i \(0.964450\pi\)
\(192\) 44.6871 10.8410i 3.22501 0.782379i
\(193\) −12.7422 6.56905i −0.917202 0.472850i −0.0660774 0.997814i \(-0.521048\pi\)
−0.851124 + 0.524964i \(0.824079\pi\)
\(194\) 9.06624 + 7.12977i 0.650918 + 0.511888i
\(195\) −0.221661 + 0.485370i −0.0158735 + 0.0347581i
\(196\) 40.6844 + 0.475262i 2.90603 + 0.0339473i
\(197\) 0.667397 4.64185i 0.0475501 0.330718i −0.952136 0.305674i \(-0.901118\pi\)
0.999686 0.0250441i \(-0.00797262\pi\)
\(198\) 8.55184 0.407375i 0.607753 0.0289508i
\(199\) 1.10332 + 4.54794i 0.0782122 + 0.322395i 0.997455 0.0712954i \(-0.0227133\pi\)
−0.919243 + 0.393691i \(0.871198\pi\)
\(200\) 41.7952 32.8681i 2.95537 2.32413i
\(201\) −3.42340 + 0.659807i −0.241468 + 0.0465392i
\(202\) 1.49477 2.32591i 0.105172 0.163650i
\(203\) 6.74783 + 6.50971i 0.473605 + 0.456892i
\(204\) −2.62603 8.94342i −0.183859 0.626165i
\(205\) 0.0216158 0.226371i 0.00150971 0.0158104i
\(206\) −3.28447 5.68886i −0.228840 0.396362i
\(207\) 1.31774 4.61124i 0.0915890 0.320504i
\(208\) −82.7766 47.7911i −5.73952 3.31371i
\(209\) −22.9545 + 10.4830i −1.58779 + 0.725121i
\(210\) −0.215410 + 0.718078i −0.0148647 + 0.0495521i
\(211\) −7.96963 + 9.19745i −0.548652 + 0.633178i −0.960569 0.278043i \(-0.910314\pi\)
0.411916 + 0.911222i \(0.364860\pi\)
\(212\) −17.1136 33.1957i −1.17537 2.27989i
\(213\) 5.42488 + 1.87757i 0.371706 + 0.128649i
\(214\) −17.5731 22.3460i −1.20127 1.52754i
\(215\) −0.579590 0.607857i −0.0395277 0.0414555i
\(216\) 5.76112 + 8.96448i 0.391995 + 0.609956i
\(217\) 12.3795 4.20379i 0.840376 0.285372i
\(218\) −19.0046 8.67909i −1.28715 0.587822i
\(219\) 4.10646 + 5.76671i 0.277489 + 0.389678i
\(220\) −0.670820 1.67563i −0.0452267 0.112971i
\(221\) −3.86768 + 7.50225i −0.260168 + 0.504656i
\(222\) 5.62519 5.36360i 0.377538 0.359982i
\(223\) 5.59472 0.804400i 0.374650 0.0538666i 0.0475822 0.998867i \(-0.484848\pi\)
0.327068 + 0.945001i \(0.393939\pi\)
\(224\) −72.1548 29.3766i −4.82105 1.96280i
\(225\) 4.19762 + 2.69765i 0.279841 + 0.179843i
\(226\) 28.5810 9.89199i 1.90118 0.658005i
\(227\) 16.0970 + 15.3485i 1.06840 + 1.01871i 0.999778 + 0.0210698i \(0.00670722\pi\)
0.0686173 + 0.997643i \(0.478141\pi\)
\(228\) −39.0063 27.7762i −2.58325 1.83953i
\(229\) 6.83760 11.8431i 0.451841 0.782612i −0.546659 0.837355i \(-0.684101\pi\)
0.998500 + 0.0547434i \(0.0174341\pi\)
\(230\) −1.35689 + 0.0745023i −0.0894705 + 0.00491254i
\(231\) −6.79193 4.42118i −0.446876 0.290892i
\(232\) −15.6873 34.3505i −1.02992 2.25522i
\(233\) −1.40989 + 5.81163i −0.0923647 + 0.380733i −0.999166 0.0408251i \(-0.987001\pi\)
0.906802 + 0.421558i \(0.138517\pi\)
\(234\) 2.78420 14.4458i 0.182009 0.944351i
\(235\) 0.171245 + 0.00815742i 0.0111708 + 0.000532131i
\(236\) −8.44159 43.7991i −0.549501 2.85108i
\(237\) −0.510795 3.55266i −0.0331797 0.230770i
\(238\) −3.94406 + 11.1838i −0.255655 + 0.724941i
\(239\) −22.2794 + 14.3181i −1.44113 + 0.926160i −0.441552 + 0.897236i \(0.645572\pi\)
−0.999582 + 0.0289246i \(0.990792\pi\)
\(240\) 1.13802 1.44711i 0.0734587 0.0934104i
\(241\) 11.4158 1.09007i 0.735355 0.0702179i 0.279343 0.960191i \(-0.409883\pi\)
0.456012 + 0.889974i \(0.349277\pi\)
\(242\) −4.50070 + 0.429764i −0.289316 + 0.0276263i
\(243\) −0.618159 + 0.786053i −0.0396549 + 0.0504253i
\(244\) 35.1771 22.6069i 2.25198 1.44726i
\(245\) 0.562900 0.432124i 0.0359624 0.0276074i
\(246\) 0.892269 + 6.20587i 0.0568890 + 0.395672i
\(247\) 8.20635 + 42.5786i 0.522157 + 2.70921i
\(248\) −52.5968 2.50549i −3.33990 0.159099i
\(249\) −0.409754 + 2.12600i −0.0259671 + 0.134730i
\(250\) 0.667352 2.75086i 0.0422071 0.173980i
\(251\) 6.78400 + 14.8549i 0.428202 + 0.937632i 0.993615 + 0.112824i \(0.0359895\pi\)
−0.565413 + 0.824808i \(0.691283\pi\)
\(252\) 0.821433 15.3564i 0.0517454 0.967359i
\(253\) 3.35968 14.3007i 0.211222 0.899075i
\(254\) 14.6348 25.3483i 0.918271 1.59049i
\(255\) −0.132426 0.0943003i −0.00829285 0.00590531i
\(256\) 74.3059 + 70.8506i 4.64412 + 4.42816i
\(257\) 13.0686 4.52309i 0.815197 0.282142i 0.112518 0.993650i \(-0.464108\pi\)
0.702679 + 0.711507i \(0.251987\pi\)
\(258\) 19.4806 + 12.5194i 1.21281 + 0.779426i
\(259\) −7.28832 + 1.00449i −0.452874 + 0.0624159i
\(260\) −3.06990 + 0.441385i −0.190387 + 0.0273735i
\(261\) 2.56477 2.44550i 0.158755 0.151373i
\(262\) −23.1513 + 44.9073i −1.43029 + 2.77438i
\(263\) 0.0733946 + 0.183331i 0.00452571 + 0.0113047i 0.930614 0.366003i \(-0.119274\pi\)
−0.926088 + 0.377308i \(0.876850\pi\)
\(264\) 18.9333 + 26.5882i 1.16527 + 1.63639i
\(265\) −0.592525 0.270597i −0.0363985 0.0166226i
\(266\) 19.5896 + 57.6883i 1.20111 + 3.53710i
\(267\) 0.684424 + 1.06498i 0.0418861 + 0.0651760i
\(268\) −13.9842 14.6662i −0.854219 0.895879i
\(269\) 7.13056 + 9.06725i 0.434758 + 0.552840i 0.953227 0.302257i \(-0.0977400\pi\)
−0.518468 + 0.855097i \(0.673498\pi\)
\(270\) 0.267772 + 0.0926769i 0.0162961 + 0.00564014i
\(271\) 8.40748 + 16.3082i 0.510718 + 0.990655i 0.993383 + 0.114850i \(0.0366387\pi\)
−0.482665 + 0.875805i \(0.660331\pi\)
\(272\) 19.0704 22.0084i 1.15631 1.33446i
\(273\) −10.1345 + 9.55080i −0.613365 + 0.578041i
\(274\) −31.4857 + 14.3790i −1.90212 + 0.868669i
\(275\) 13.2363 + 7.64196i 0.798176 + 0.460827i
\(276\) 26.6887 8.04720i 1.60647 0.484385i
\(277\) 9.47911 + 16.4183i 0.569544 + 0.986480i 0.996611 + 0.0822597i \(0.0262137\pi\)
−0.427066 + 0.904220i \(0.640453\pi\)
\(278\) 2.41606 25.3021i 0.144906 1.51752i
\(279\) −1.39216 4.74127i −0.0833466 0.283852i
\(280\) −2.74705 + 0.789207i −0.164167 + 0.0471642i
\(281\) −6.76402 + 10.5250i −0.403508 + 0.627870i −0.982236 0.187650i \(-0.939913\pi\)
0.578728 + 0.815520i \(0.303549\pi\)
\(282\) −4.64135 + 0.894547i −0.276388 + 0.0532695i
\(283\) 15.7961 12.4222i 0.938983 0.738424i −0.0262938 0.999654i \(-0.508371\pi\)
0.965277 + 0.261230i \(0.0841281\pi\)
\(284\) 7.86657 + 32.4264i 0.466795 + 1.92415i
\(285\) −0.834240 + 0.0397398i −0.0494161 + 0.00235398i
\(286\) 6.41313 44.6043i 0.379216 2.63751i
\(287\) 2.75021 5.25903i 0.162340 0.310430i
\(288\) −12.2321 + 26.7847i −0.720786 + 1.57830i
\(289\) 11.3415 + 8.91904i 0.667146 + 0.524649i
\(290\) −0.892532 0.460132i −0.0524113 0.0270199i
\(291\) −4.01018 + 0.972859i −0.235081 + 0.0570300i
\(292\) −15.2934 + 38.2011i −0.894980 + 2.23555i
\(293\) −4.98989 5.75864i −0.291512 0.336423i 0.591036 0.806645i \(-0.298719\pi\)
−0.882548 + 0.470222i \(0.844174\pi\)
\(294\) −12.2734 + 15.2372i −0.715801 + 0.888653i
\(295\) −0.587954 0.509465i −0.0342320 0.0296622i
\(296\) 28.7968 + 6.98603i 1.67378 + 0.406055i
\(297\) −1.77676 + 2.49511i −0.103098 + 0.144781i
\(298\) −24.7282 + 14.2768i −1.43246 + 0.827033i
\(299\) −22.5197 11.4038i −1.30235 0.659496i
\(300\) 29.0025i 1.67446i
\(301\) −8.02768 20.3966i −0.462708 1.17564i
\(302\) −32.2082 + 9.45718i −1.85337 + 0.544200i
\(303\) 0.323526 + 0.934768i 0.0185861 + 0.0537010i
\(304\) 7.11860 149.438i 0.408279 8.57084i
\(305\) 0.238534 0.689200i 0.0136584 0.0394635i
\(306\) 4.16118 + 1.66588i 0.237879 + 0.0952323i
\(307\) −7.04829 + 24.0043i −0.402267 + 1.37000i 0.470733 + 0.882276i \(0.343990\pi\)
−0.873000 + 0.487721i \(0.837828\pi\)
\(308\) 0.275118 47.1042i 0.0156763 2.68401i
\(309\) 2.32626 + 0.334466i 0.132336 + 0.0190271i
\(310\) −1.14056 + 0.812189i −0.0647794 + 0.0461292i
\(311\) −1.74184 18.2413i −0.0987705 1.03437i −0.899963 0.435965i \(-0.856407\pi\)
0.801193 0.598406i \(-0.204199\pi\)
\(312\) 52.0698 20.8456i 2.94787 1.18015i
\(313\) 0.276195 + 5.79804i 0.0156115 + 0.327725i 0.993141 + 0.116925i \(0.0373037\pi\)
−0.977529 + 0.210800i \(0.932393\pi\)
\(314\) −1.74423 0.512153i −0.0984328 0.0289025i
\(315\) −0.154303 0.219389i −0.00869401 0.0123612i
\(316\) 15.7664 13.6617i 0.886932 0.768531i
\(317\) −0.206208 + 0.106308i −0.0115818 + 0.00597083i −0.464008 0.885831i \(-0.653589\pi\)
0.452426 + 0.891802i \(0.350559\pi\)
\(318\) 17.6350 + 3.39886i 0.988920 + 0.190599i
\(319\) 7.49076 7.85609i 0.419402 0.439856i
\(320\) 4.64054 + 0.443118i 0.259414 + 0.0247710i
\(321\) 10.1708 0.567677
\(322\) −33.5313 11.5523i −1.86863 0.643786i
\(323\) −13.2113 −0.735097
\(324\) −5.78613 0.552509i −0.321452 0.0306949i
\(325\) 18.1235 19.0074i 1.00531 1.05434i
\(326\) −14.9965 2.89033i −0.830577 0.160081i
\(327\) 6.64385 3.42514i 0.367406 0.189411i
\(328\) −18.0646 + 15.6531i −0.997450 + 0.864296i
\(329\) 4.05899 + 1.88241i 0.223779 + 0.103780i
\(330\) 0.832786 + 0.244528i 0.0458434 + 0.0134608i
\(331\) 0.887759 + 18.6363i 0.0487956 + 1.02435i 0.881961 + 0.471322i \(0.156223\pi\)
−0.833165 + 0.553024i \(0.813474\pi\)
\(332\) −11.6833 + 4.67727i −0.641202 + 0.256699i
\(333\) 0.264328 + 2.76817i 0.0144851 + 0.151695i
\(334\) −37.8794 + 26.9738i −2.07267 + 1.47594i
\(335\) −0.349844 0.0503000i −0.0191140 0.00274818i
\(336\) 41.7487 23.7796i 2.27758 1.29728i
\(337\) 2.23867 7.62420i 0.121948 0.415317i −0.875778 0.482714i \(-0.839651\pi\)
0.997726 + 0.0673970i \(0.0214694\pi\)
\(338\) −38.1537 15.2744i −2.07529 0.830819i
\(339\) −3.53908 + 10.2255i −0.192216 + 0.555372i
\(340\) 0.0449618 0.943864i 0.00243840 0.0511882i
\(341\) −4.95050 14.3035i −0.268085 0.774580i
\(342\) 22.0942 6.48745i 1.19472 0.350801i
\(343\) 17.8588 4.90561i 0.964282 0.264878i
\(344\) 88.2837i 4.75994i
\(345\) 0.279137 0.398071i 0.0150282 0.0214314i
\(346\) −8.53424 + 4.92724i −0.458803 + 0.264890i
\(347\) −5.37094 + 7.54243i −0.288327 + 0.404899i −0.933181 0.359407i \(-0.882979\pi\)
0.644854 + 0.764306i \(0.276918\pi\)
\(348\) 20.0175 + 4.85620i 1.07305 + 0.260320i
\(349\) 0.382607 + 0.331531i 0.0204805 + 0.0177464i 0.665041 0.746807i \(-0.268414\pi\)
−0.644560 + 0.764553i \(0.722960\pi\)
\(350\) 21.5789 29.9318i 1.15344 1.59992i
\(351\) 3.44681 + 3.97783i 0.183977 + 0.212321i
\(352\) −33.5218 + 83.7334i −1.78672 + 4.46300i
\(353\) −11.6122 + 2.81710i −0.618057 + 0.149939i −0.532550 0.846399i \(-0.678766\pi\)
−0.0855069 + 0.996338i \(0.527251\pi\)
\(354\) 19.0652 + 9.82878i 1.01330 + 0.522394i
\(355\) 0.457456 + 0.359747i 0.0242792 + 0.0190934i
\(356\) −3.05674 + 6.69332i −0.162007 + 0.354745i
\(357\) −2.27294 3.58260i −0.120297 0.189611i
\(358\) 5.77803 40.1871i 0.305379 2.12396i
\(359\) −16.8136 + 0.800929i −0.887386 + 0.0422714i −0.486323 0.873779i \(-0.661662\pi\)
−0.401063 + 0.916050i \(0.631359\pi\)
\(360\) 0.254687 + 1.04983i 0.0134232 + 0.0553311i
\(361\) −38.4155 + 30.2103i −2.02187 + 1.59002i
\(362\) 59.8116 11.5277i 3.14363 0.605884i
\(363\) 0.874512 1.36077i 0.0459000 0.0714218i
\(364\) −78.5480 19.5420i −4.11703 1.02428i
\(365\) 0.202196 + 0.688618i 0.0105834 + 0.0360439i
\(366\) −1.91138 + 20.0169i −0.0999093 + 1.04630i
\(367\) 1.54089 + 2.66890i 0.0804339 + 0.139316i 0.903436 0.428722i \(-0.141036\pi\)
−0.823002 + 0.568038i \(0.807703\pi\)
\(368\) 66.2308 + 56.5536i 3.45252 + 2.94806i
\(369\) −1.94260 1.12156i −0.101128 0.0583860i
\(370\) 0.716743 0.327326i 0.0372617 0.0170168i
\(371\) −11.6593 12.3718i −0.605321 0.642313i
\(372\) 18.8088 21.7065i 0.975191 1.12543i
\(373\) 7.57412 + 14.6917i 0.392173 + 0.760709i 0.999429 0.0337971i \(-0.0107600\pi\)
−0.607256 + 0.794506i \(0.707730\pi\)
\(374\) 12.9744 + 4.49048i 0.670889 + 0.232197i
\(375\) 0.626028 + 0.796059i 0.0323279 + 0.0411083i
\(376\) −12.4356 13.0421i −0.641319 0.672596i
\(377\) −10.0843 15.6915i −0.519368 0.808152i
\(378\) 5.56045 + 4.87531i 0.285999 + 0.250759i
\(379\) 19.3227 + 8.82438i 0.992541 + 0.453278i 0.844415 0.535690i \(-0.179949\pi\)
0.148126 + 0.988968i \(0.452676\pi\)
\(380\) −2.81588 3.95434i −0.144451 0.202854i
\(381\) 3.89200 + 9.72175i 0.199393 + 0.498060i
\(382\) 16.7383 32.4678i 0.856405 1.66119i
\(383\) 20.4970 19.5439i 1.04735 0.998645i 0.0473486 0.998878i \(-0.484923\pi\)
1.00000 0.000233539i \(7.43379e-5\pi\)
\(384\) −68.9268 + 9.91017i −3.51740 + 0.505726i
\(385\) −0.504083 0.648757i −0.0256905 0.0330637i
\(386\) 33.7088 + 21.6633i 1.71573 + 1.10263i
\(387\) −7.82915 + 2.70969i −0.397978 + 0.137741i
\(388\) −17.3588 16.5516i −0.881260 0.840280i
\(389\) 10.7000 + 7.61947i 0.542514 + 0.386322i 0.818207 0.574923i \(-0.194968\pi\)
−0.275693 + 0.961246i \(0.588907\pi\)
\(390\) 0.745712 1.29161i 0.0377606 0.0654033i
\(391\) 4.71012 6.07962i 0.238201 0.307460i
\(392\) −74.1671 7.95737i −3.74600 0.401908i
\(393\) −7.50903 16.4425i −0.378781 0.829414i
\(394\) −3.09027 + 12.7383i −0.155685 + 0.641744i
\(395\) 0.0688613 0.357286i 0.00346479 0.0179770i
\(396\) −17.7838 0.847149i −0.893672 0.0425708i
\(397\) 0.755094 + 3.91780i 0.0378971 + 0.196629i 0.995943 0.0899858i \(-0.0286822\pi\)
−0.958046 + 0.286615i \(0.907470\pi\)
\(398\) −1.86156 12.9474i −0.0933116 0.648996i
\(399\) −20.5560 7.24921i −1.02909 0.362914i
\(400\) −76.2276 + 48.9885i −3.81138 + 2.44943i
\(401\) 22.0255 28.0077i 1.09990 1.39864i 0.191015 0.981587i \(-0.438822\pi\)
0.908884 0.417048i \(-0.136935\pi\)
\(402\) 9.70065 0.926300i 0.483825 0.0461997i
\(403\) −25.8910 + 2.47230i −1.28972 + 0.123154i
\(404\) −3.55412 + 4.51943i −0.176824 + 0.224850i
\(405\) −0.0852838 + 0.0548086i −0.00423779 + 0.00272346i
\(406\) −17.0457 19.9056i −0.845966 0.987897i
\(407\) 1.21220 + 8.43100i 0.0600863 + 0.417909i
\(408\) 3.23400 + 16.7796i 0.160107 + 0.830712i
\(409\) −10.0747 0.479916i −0.498160 0.0237303i −0.203001 0.979178i \(-0.565070\pi\)
−0.295159 + 0.955448i \(0.595373\pi\)
\(410\) −0.120289 + 0.624116i −0.00594063 + 0.0308229i
\(411\) 2.91959 12.0347i 0.144013 0.593628i
\(412\) 5.67470 + 12.4259i 0.279572 + 0.612178i
\(413\) −9.19813 18.1007i −0.452610 0.890676i
\(414\) −4.89165 + 12.4803i −0.240412 + 0.613374i
\(415\) −0.109747 + 0.190088i −0.00538729 + 0.00933105i
\(416\) 126.247 + 89.8998i 6.18975 + 4.40770i
\(417\) 6.58133 + 6.27528i 0.322289 + 0.307302i
\(418\) 66.6542 23.0692i 3.26016 1.12835i
\(419\) −6.40955 4.11917i −0.313127 0.201235i 0.374632 0.927174i \(-0.377769\pi\)
−0.687759 + 0.725939i \(0.741405\pi\)
\(420\) 0.587868 1.44392i 0.0286850 0.0704563i
\(421\) 2.93687 0.422258i 0.143134 0.0205796i −0.0703752 0.997521i \(-0.522420\pi\)
0.213510 + 0.976941i \(0.431511\pi\)
\(422\) 24.6185 23.4737i 1.19841 1.14268i
\(423\) 0.774910 1.50311i 0.0376774 0.0730839i
\(424\) 25.4477 + 63.5652i 1.23585 + 3.08700i
\(425\) 4.64140 + 6.51794i 0.225141 + 0.316167i
\(426\) −14.5954 6.66551i −0.707151 0.322945i
\(427\) 12.5482 14.3116i 0.607250 0.692588i
\(428\) 31.9612 + 49.7325i 1.54490 + 2.40391i
\(429\) 11.1256 + 11.6682i 0.537151 + 0.563347i
\(430\) 1.45116 + 1.84530i 0.0699813 + 0.0889884i
\(431\) −29.8671 10.3371i −1.43865 0.497921i −0.507211 0.861822i \(-0.669324\pi\)
−0.931438 + 0.363900i \(0.881445\pi\)
\(432\) −8.32126 16.1410i −0.400357 0.776584i
\(433\) 14.2755 16.4748i 0.686036 0.791728i −0.300759 0.953700i \(-0.597240\pi\)
0.986795 + 0.161972i \(0.0517854\pi\)
\(434\) −35.5619 + 8.40761i −1.70703 + 0.403578i
\(435\) 0.326794 0.149242i 0.0156686 0.00715561i
\(436\) 37.6260 + 21.7234i 1.80196 + 1.04036i
\(437\) −0.286517 39.5090i −0.0137060 1.88997i
\(438\) −9.89373 17.1365i −0.472741 0.818811i
\(439\) 0.842838 8.82660i 0.0402265 0.421271i −0.952819 0.303539i \(-0.901832\pi\)
0.993045 0.117732i \(-0.0375622\pi\)
\(440\) 0.932252 + 3.17496i 0.0444434 + 0.151360i
\(441\) −1.57074 6.82149i −0.0747971 0.324833i
\(442\) 12.7548 19.8468i 0.606683 0.944017i
\(443\) −21.0508 + 4.05721i −1.00015 + 0.192764i −0.662947 0.748666i \(-0.730695\pi\)
−0.337208 + 0.941430i \(0.609482\pi\)
\(444\) −12.7050 + 9.99134i −0.602954 + 0.474168i
\(445\) 0.0302569 + 0.124721i 0.00143431 + 0.00591232i
\(446\) −15.7806 + 0.751722i −0.747233 + 0.0355951i
\(447\) 1.45384 10.1117i 0.0687644 0.478267i
\(448\) 107.809 + 56.3786i 5.09347 + 2.66364i
\(449\) 5.98687 13.1094i 0.282538 0.618672i −0.714150 0.699993i \(-0.753187\pi\)
0.996688 + 0.0813209i \(0.0259139\pi\)
\(450\) −10.9628 8.62125i −0.516792 0.406410i
\(451\) −6.10705 3.14840i −0.287570 0.148253i
\(452\) −61.1214 + 14.8279i −2.87491 + 0.697445i
\(453\) 4.46354 11.1494i 0.209716 0.523844i
\(454\) −40.7107 46.9827i −1.91065 2.20501i
\(455\) −1.28757 + 0.578950i −0.0603624 + 0.0271416i
\(456\) 66.3468 + 57.4898i 3.10697 + 2.69221i
\(457\) −21.3406 5.17718i −0.998272 0.242178i −0.296850 0.954924i \(-0.595936\pi\)
−0.701422 + 0.712746i \(0.747451\pi\)
\(458\) −22.1716 + 31.1357i −1.03601 + 1.45488i
\(459\) −1.38878 + 0.801812i −0.0648226 + 0.0374254i
\(460\) 2.82364 + 0.113990i 0.131653 + 0.00531483i
\(461\) 32.2417i 1.50165i 0.660502 + 0.750824i \(0.270343\pi\)
−0.660502 + 0.750824i \(0.729657\pi\)
\(462\) 17.7234 + 14.1061i 0.824565 + 0.656276i
\(463\) −7.15295 + 2.10029i −0.332426 + 0.0976090i −0.443686 0.896182i \(-0.646329\pi\)
0.111260 + 0.993791i \(0.464511\pi\)
\(464\) 21.0483 + 60.8149i 0.977141 + 2.82326i
\(465\) 0.0238361 0.500381i 0.00110537 0.0232046i
\(466\) 5.46698 15.7958i 0.253253 0.731727i
\(467\) 36.9771 + 14.8034i 1.71110 + 0.685019i 0.999840 0.0179144i \(-0.00570262\pi\)
0.711256 + 0.702934i \(0.248127\pi\)
\(468\) −8.61915 + 29.3541i −0.398420 + 1.35689i
\(469\) −7.96129 4.65866i −0.367618 0.215117i
\(470\) −0.474309 0.0681953i −0.0218782 0.00314562i
\(471\) 0.529786 0.377259i 0.0244113 0.0173832i
\(472\) 7.77327 + 81.4054i 0.357794 + 3.74699i
\(473\) −23.5592 + 9.43168i −1.08325 + 0.433669i
\(474\) 0.477345 + 10.0207i 0.0219252 + 0.460266i
\(475\) 39.4422 + 11.5813i 1.80973 + 0.531386i
\(476\) 10.3754 22.3722i 0.475556 1.02543i
\(477\) −4.85600 + 4.20775i −0.222341 + 0.192660i
\(478\) 65.7948 33.9196i 3.00938 1.55144i
\(479\) −13.5169 2.60516i −0.617602 0.119033i −0.129152 0.991625i \(-0.541225\pi\)
−0.488450 + 0.872592i \(0.662438\pi\)
\(480\) −2.05996 + 2.16042i −0.0940239 + 0.0986095i
\(481\) 14.5700 + 1.39127i 0.664337 + 0.0634365i
\(482\) −32.0531 −1.45998
\(483\) 10.6646 6.87502i 0.485257 0.312824i
\(484\) 9.40192 0.427360
\(485\) −0.416438 0.0397650i −0.0189095 0.00180564i
\(486\) 1.92882 2.02289i 0.0874932 0.0917603i
\(487\) 22.8964 + 4.41292i 1.03753 + 0.199968i 0.679451 0.733721i \(-0.262218\pi\)
0.358084 + 0.933690i \(0.383430\pi\)
\(488\) −68.1386 + 35.1279i −3.08449 + 1.59016i
\(489\) 4.12946 3.57819i 0.186740 0.161812i
\(490\) −1.68104 + 1.05280i −0.0759415 + 0.0475605i
\(491\) 15.6267 + 4.58842i 0.705225 + 0.207073i 0.614630 0.788815i \(-0.289305\pi\)
0.0905943 + 0.995888i \(0.471123\pi\)
\(492\) −0.620374 13.0232i −0.0279686 0.587133i
\(493\) 5.27584 2.11213i 0.237612 0.0951254i
\(494\) −11.5209 120.652i −0.518348 5.42838i
\(495\) −0.252947 + 0.180123i −0.0113691 + 0.00809592i
\(496\) 88.8216 + 12.7706i 3.98821 + 0.573418i
\(497\) 7.51715 + 13.1975i 0.337190 + 0.591989i
\(498\) 1.70496 5.80657i 0.0764012 0.260199i
\(499\) 22.3012 + 8.92806i 0.998339 + 0.399675i 0.812535 0.582912i \(-0.198087\pi\)
0.185804 + 0.982587i \(0.440511\pi\)
\(500\) −1.92527 + 5.56269i −0.0861005 + 0.248771i
\(501\) 0.791626 16.6183i 0.0353672 0.742449i
\(502\) −14.9292 43.1350i −0.666321 1.92521i
\(503\) −40.0755 + 11.7672i −1.78688 + 0.524675i −0.996164 0.0875112i \(-0.972109\pi\)
−0.790714 + 0.612186i \(0.790290\pi\)
\(504\) −4.17526 + 27.8825i −0.185981 + 1.24199i
\(505\) 0.100279i 0.00446237i
\(506\) −13.1476 + 38.8978i −0.584481 + 1.72922i
\(507\) 12.7337 7.35178i 0.565521 0.326504i
\(508\) −35.3065 + 49.5810i −1.56647 + 2.19980i
\(509\) 5.23573 + 1.27017i 0.232070 + 0.0562995i 0.350107 0.936710i \(-0.386145\pi\)
−0.118038 + 0.993009i \(0.537660\pi\)
\(510\) 0.343411 + 0.297567i 0.0152065 + 0.0131765i
\(511\) −1.88930 + 18.6348i −0.0835778 + 0.824355i
\(512\) −96.7229 111.624i −4.27459 4.93314i
\(513\) −3.06191 + 7.64828i −0.135187 + 0.337680i
\(514\) −37.5641 + 9.11295i −1.65688 + 0.401955i
\(515\) 0.211769 + 0.109175i 0.00933166 + 0.00481080i
\(516\) −37.8524 29.7675i −1.66636 1.31044i
\(517\) 2.15185 4.71189i 0.0946381 0.207228i
\(518\) 20.5460 0.858488i 0.902741 0.0377198i
\(519\) 0.501754 3.48977i 0.0220245 0.153184i
\(520\) 5.67955 0.270550i 0.249065 0.0118644i
\(521\) −10.3586 42.6986i −0.453817 1.87066i −0.490682 0.871339i \(-0.663252\pi\)
0.0368645 0.999320i \(-0.488263\pi\)
\(522\) −7.78600 + 6.12298i −0.340784 + 0.267996i
\(523\) −28.9125 + 5.57242i −1.26425 + 0.243665i −0.776947 0.629566i \(-0.783233\pi\)
−0.487306 + 0.873231i \(0.662021\pi\)
\(524\) 56.8029 88.3870i 2.48144 3.86120i
\(525\) 3.64527 + 12.6883i 0.159092 + 0.553764i
\(526\) −0.155506 0.529604i −0.00678037 0.0230918i
\(527\) 0.753243 7.88831i 0.0328118 0.343620i
\(528\) −27.8123 48.1724i −1.21038 2.09643i
\(529\) 18.2835 + 13.9540i 0.794936 + 0.606694i
\(530\) 1.57676 + 0.910342i 0.0684900 + 0.0395427i
\(531\) −6.98058 + 3.18792i −0.302931 + 0.138344i
\(532\) −29.1494 123.294i −1.26378 5.34547i
\(533\) −7.73159 + 8.92273i −0.334892 + 0.386486i
\(534\) −1.62140 3.14508i −0.0701648 0.136101i
\(535\) 0.974375 + 0.337235i 0.0421259 + 0.0145799i
\(536\) 22.9655 + 29.2031i 0.991961 + 1.26138i
\(537\) 10.0239 + 10.5127i 0.432562 + 0.453658i
\(538\) −17.4312 27.1234i −0.751511 1.16937i
\(539\) −5.80006 20.6422i −0.249826 0.889122i
\(540\) −0.536000 0.244783i −0.0230658 0.0105338i
\(541\) −24.7674 34.7809i −1.06483 1.49535i −0.855708 0.517458i \(-0.826878\pi\)
−0.209124 0.977889i \(-0.567061\pi\)
\(542\) −19.0602 47.6102i −0.818707 2.04503i
\(543\) −9.98601 + 19.3701i −0.428541 + 0.831253i
\(544\) −34.1745 + 32.5853i −1.46522 + 1.39708i
\(545\) 0.750059 0.107842i 0.0321290 0.00461945i
\(546\) 30.7358 23.8817i 1.31537 1.02204i
\(547\) 11.2179 + 7.20932i 0.479644 + 0.308248i 0.758029 0.652221i \(-0.226163\pi\)
−0.278385 + 0.960470i \(0.589799\pi\)
\(548\) 68.0213 23.5424i 2.90573 1.00568i
\(549\) −5.20658 4.96446i −0.222211 0.211878i
\(550\) −34.7985 24.7799i −1.48381 1.05662i
\(551\) 14.5976 25.2838i 0.621880 1.07713i
\(552\) −50.1099 + 10.0353i −2.13282 + 0.427131i
\(553\) 5.18055 7.95851i 0.220299 0.338430i
\(554\) −22.0127 48.2011i −0.935230 2.04787i
\(555\) −0.0664618 + 0.273959i −0.00282115 + 0.0116289i
\(556\) −10.0031 + 51.9008i −0.424224 + 2.20108i
\(557\) 38.5180 + 1.83484i 1.63206 + 0.0777446i 0.843471 0.537175i \(-0.180509\pi\)
0.788590 + 0.614920i \(0.210812\pi\)
\(558\) 2.61388 + 13.5621i 0.110654 + 0.574129i
\(559\) 6.20583 + 43.1625i 0.262479 + 1.82558i
\(560\) 4.78805 0.893850i 0.202332 0.0377721i
\(561\) −4.13226 + 2.65564i −0.174464 + 0.112121i
\(562\) 21.6167 27.4879i 0.911847 1.15951i
\(563\) −24.8139 + 2.36944i −1.04578 + 0.0998600i −0.603777 0.797153i \(-0.706338\pi\)
−0.442004 + 0.897013i \(0.645732\pi\)
\(564\) 9.78497 0.934351i 0.412021 0.0393433i
\(565\) −0.678097 + 0.862271i −0.0285278 + 0.0362760i
\(566\) −47.2519 + 30.3670i −1.98615 + 1.27642i
\(567\) −2.60082 + 0.485530i −0.109224 + 0.0203903i
\(568\) −8.70575 60.5498i −0.365285 2.54061i
\(569\) 0.196302 + 1.01851i 0.00822940 + 0.0426982i 0.985811 0.167857i \(-0.0536848\pi\)
−0.977582 + 0.210556i \(0.932473\pi\)
\(570\) 2.33177 + 0.111076i 0.0976669 + 0.00465245i
\(571\) −0.603803 + 3.13283i −0.0252684 + 0.131105i −0.992372 0.123277i \(-0.960660\pi\)
0.967104 + 0.254381i \(0.0818719\pi\)
\(572\) −22.0929 + 91.0684i −0.923753 + 3.80776i
\(573\) 5.42899 + 11.8878i 0.226799 + 0.496621i
\(574\) −9.04951 + 13.9021i −0.377719 + 0.580263i
\(575\) −19.3915 + 14.0217i −0.808682 + 0.584744i
\(576\) 22.9916 39.8227i 0.957985 1.65928i
\(577\) 4.47635 + 3.18760i 0.186353 + 0.132701i 0.669426 0.742879i \(-0.266540\pi\)
−0.483073 + 0.875580i \(0.660479\pi\)
\(578\) −29.1871 27.8298i −1.21402 1.15757i
\(579\) −13.5474 + 4.68878i −0.563009 + 0.194859i
\(580\) 1.75669 + 1.12896i 0.0729426 + 0.0468774i
\(581\) −4.52343 + 3.51470i −0.187664 + 0.145814i
\(582\) 11.4165 1.64144i 0.473228 0.0680400i
\(583\) −14.2442 + 13.5818i −0.589935 + 0.562502i
\(584\) 34.5681 67.0527i 1.43044 2.77466i
\(585\) 0.198315 + 0.495368i 0.00819933 + 0.0204809i
\(586\) 12.3540 + 17.3487i 0.510337 + 0.716668i
\(587\) −33.2983 15.2068i −1.37437 0.627652i −0.415002 0.909821i \(-0.636219\pi\)
−0.959365 + 0.282168i \(0.908946\pi\)
\(588\) 28.4194 29.1167i 1.17200 1.20075i
\(589\) −22.0092 34.2470i −0.906875 1.41112i
\(590\) 1.50058 + 1.57376i 0.0617778 + 0.0647907i
\(591\) −2.89891 3.68626i −0.119245 0.151632i
\(592\) −47.7205 16.5162i −1.96130 0.678813i
\(593\) −14.1286 27.4056i −0.580191 1.12541i −0.978128 0.208002i \(-0.933304\pi\)
0.397937 0.917413i \(-0.369726\pi\)
\(594\) 5.60662 6.47038i 0.230042 0.265483i
\(595\) −0.0989620 0.418582i −0.00405704 0.0171602i
\(596\) 54.0123 24.6666i 2.21243 1.01038i
\(597\) 4.05288 + 2.33993i 0.165873 + 0.0957670i
\(598\) 59.6294 + 37.7133i 2.43843 + 1.54221i
\(599\) 5.10787 + 8.84708i 0.208702 + 0.361482i 0.951306 0.308249i \(-0.0997429\pi\)
−0.742604 + 0.669731i \(0.766410\pi\)
\(600\) 5.05422 52.9302i 0.206338 2.16087i
\(601\) −3.77594 12.8597i −0.154024 0.524557i 0.845938 0.533281i \(-0.179041\pi\)
−0.999962 + 0.00872417i \(0.997223\pi\)
\(602\) 16.9172 + 58.8848i 0.689494 + 2.39997i
\(603\) −1.88489 + 2.93295i −0.0767589 + 0.119439i
\(604\) 68.5442 13.2108i 2.78902 0.537540i
\(605\) 0.128899 0.101367i 0.00524048 0.00412116i
\(606\) −0.651829 2.68688i −0.0264787 0.109147i
\(607\) 47.6828 2.27141i 1.93538 0.0921937i 0.955897 0.293702i \(-0.0948874\pi\)
0.979487 + 0.201509i \(0.0645844\pi\)
\(608\) −34.5234 + 240.116i −1.40011 + 9.73798i
\(609\) 9.36784 0.391422i 0.379604 0.0158612i
\(610\) −0.846816 + 1.85427i −0.0342866 + 0.0750771i
\(611\) −6.99666 5.50223i −0.283054 0.222596i
\(612\) −8.28482 4.27112i −0.334894 0.172650i
\(613\) 0.899565 0.218232i 0.0363331 0.00881431i −0.217551 0.976049i \(-0.569807\pi\)
0.253884 + 0.967235i \(0.418292\pi\)
\(614\) 25.9890 64.9173i 1.04883 2.61985i
\(615\) −0.148916 0.171858i −0.00600486 0.00692998i
\(616\) −8.71086 + 85.9181i −0.350971 + 3.46174i
\(617\) 26.8010 + 23.2232i 1.07897 + 0.934932i 0.998089 0.0617923i \(-0.0196816\pi\)
0.0808795 + 0.996724i \(0.474227\pi\)
\(618\) −6.38377 1.54868i −0.256793 0.0622972i
\(619\) 11.7341 16.4783i 0.471635 0.662319i −0.508405 0.861118i \(-0.669765\pi\)
0.980040 + 0.198799i \(0.0637042\pi\)
\(620\) 2.52164 1.45587i 0.101271 0.0584691i
\(621\) −2.42797 4.13581i −0.0974311 0.165964i
\(622\) 51.2179i 2.05365i
\(623\) −0.496022 + 3.31245i −0.0198727 + 0.132711i
\(624\) −91.7104 + 26.9286i −3.67135 + 1.07801i
\(625\) −8.12631 23.4794i −0.325053 0.939178i
\(626\) 0.771986 16.2060i 0.0308547 0.647721i
\(627\) −8.25353 + 23.8470i −0.329614 + 0.952357i
\(628\) 3.50953 + 1.40500i 0.140045 + 0.0560657i
\(629\) −1.25633 + 4.27867i −0.0500931 + 0.170602i
\(630\) 0.371047 + 0.651430i 0.0147829 + 0.0259536i
\(631\) −46.9052 6.74395i −1.86727 0.268472i −0.886366 0.462986i \(-0.846778\pi\)
−0.980900 + 0.194514i \(0.937687\pi\)
\(632\) −31.1549 + 22.1853i −1.23928 + 0.882484i
\(633\) 1.15683 + 12.1149i 0.0459798 + 0.481522i
\(634\) 0.602002 0.241005i 0.0239086 0.00957155i
\(635\) 0.0505133 + 1.06041i 0.00200456 + 0.0420809i
\(636\) −35.8346 10.5220i −1.42093 0.417224i
\(637\) −36.8202 + 1.32310i −1.45887 + 0.0524233i
\(638\) −22.9297 + 19.8687i −0.907797 + 0.786610i
\(639\) 5.10245 2.63050i 0.201850 0.104061i
\(640\) −6.93188 1.33601i −0.274007 0.0528104i
\(641\) 19.5906 20.5460i 0.773781 0.811518i −0.212402 0.977182i \(-0.568128\pi\)
0.986182 + 0.165665i \(0.0529770\pi\)
\(642\) −28.2994 2.70226i −1.11689 0.106650i
\(643\) 33.7298 1.33017 0.665086 0.746767i \(-0.268395\pi\)
0.665086 + 0.746767i \(0.268395\pi\)
\(644\) 67.1301 + 30.5429i 2.64530 + 1.20356i
\(645\) −0.839889 −0.0330706
\(646\) 36.7594 + 3.51010i 1.44628 + 0.138103i
\(647\) 29.8806 31.3379i 1.17473 1.23202i 0.207466 0.978242i \(-0.433478\pi\)
0.967263 0.253778i \(-0.0816732\pi\)
\(648\) 10.4635 + 2.01668i 0.411046 + 0.0792227i
\(649\) −20.8932 + 10.7712i −0.820131 + 0.422807i
\(650\) −55.4774 + 48.0714i −2.17600 + 1.88552i
\(651\) 5.50042 11.8604i 0.215578 0.464847i
\(652\) 30.4731 + 8.94770i 1.19342 + 0.350419i
\(653\) 0.924130 + 19.3999i 0.0361640 + 0.759176i 0.942013 + 0.335576i \(0.108931\pi\)
−0.905849 + 0.423600i \(0.860766\pi\)
\(654\) −19.3960 + 7.76499i −0.758444 + 0.303635i
\(655\) −0.174189 1.82419i −0.00680614 0.0712771i
\(656\) 33.1812 23.6283i 1.29551 0.922528i
\(657\) 7.00734 + 1.00750i 0.273382 + 0.0393065i
\(658\) −10.7937 6.31608i −0.420782 0.246226i
\(659\) −11.7786 + 40.1141i −0.458827 + 1.56262i 0.327524 + 0.944843i \(0.393786\pi\)
−0.786351 + 0.617780i \(0.788032\pi\)
\(660\) −1.67563 0.670820i −0.0652238 0.0261117i
\(661\) 7.78386 22.4900i 0.302757 0.874759i −0.686312 0.727307i \(-0.740772\pi\)
0.989069 0.147452i \(-0.0471072\pi\)
\(662\) 2.48135 52.0900i 0.0964406 2.02454i
\(663\) 2.76063 + 7.97632i 0.107214 + 0.309774i
\(664\) 22.1373 6.50009i 0.859093 0.252253i
\(665\) −1.72893 1.37606i −0.0670450 0.0533615i
\(666\) 7.77245i 0.301176i
\(667\) 6.43083 + 15.7318i 0.249003 + 0.609138i
\(668\) 83.7468 48.3512i 3.24026 1.87076i
\(669\) 3.27863 4.60419i 0.126759 0.178008i
\(670\) 0.960050 + 0.232906i 0.0370900 + 0.00899793i
\(671\) −16.6536 14.4305i −0.642907 0.557082i
\(672\) −71.0533 + 31.9488i −2.74094 + 1.23245i
\(673\) −3.41648 3.94282i −0.131695 0.151985i 0.686072 0.727534i \(-0.259334\pi\)
−0.817767 + 0.575549i \(0.804788\pi\)
\(674\) −8.25458 + 20.6189i −0.317954 + 0.794212i
\(675\) 4.84907 1.17637i 0.186641 0.0452786i
\(676\) 75.9632 + 39.1618i 2.92166 + 1.50622i
\(677\) −15.5651 12.2405i −0.598215 0.470442i 0.272549 0.962142i \(-0.412133\pi\)
−0.870765 + 0.491700i \(0.836376\pi\)
\(678\) 12.5640 27.5113i 0.482517 1.05657i
\(679\) −9.67464 5.05936i −0.371279 0.194161i
\(680\) −0.246542 + 1.71474i −0.00945445 + 0.0657572i
\(681\) 22.2164 1.05830i 0.851334 0.0405541i
\(682\) 9.97408 + 41.1137i 0.381927 + 1.57433i
\(683\) −19.1901 + 15.0912i −0.734288 + 0.577451i −0.913732 0.406318i \(-0.866813\pi\)
0.179444 + 0.983768i \(0.442570\pi\)
\(684\) −47.0200 + 9.06237i −1.79786 + 0.346508i
\(685\) 0.678738 1.05614i 0.0259332 0.0403529i
\(686\) −50.9939 + 8.90461i −1.94696 + 0.339979i
\(687\) −3.85275 13.1213i −0.146991 0.500607i
\(688\) 14.3011 149.768i 0.545226 5.70987i
\(689\) 16.9098 + 29.2887i 0.644212 + 1.11581i
\(690\) −0.882440 + 1.03344i −0.0335939 + 0.0393423i
\(691\) −19.0184 10.9803i −0.723493 0.417709i 0.0925443 0.995709i \(-0.470500\pi\)
−0.816037 + 0.578000i \(0.803833\pi\)
\(692\) 18.6408 8.51299i 0.708619 0.323615i
\(693\) −7.88673 + 1.86459i −0.299592 + 0.0708301i
\(694\) 16.9482 19.5592i 0.643343 0.742458i
\(695\) 0.422430 + 0.819400i 0.0160237 + 0.0310816i
\(696\) −35.6861 12.3511i −1.35268 0.468167i
\(697\) −2.22359 2.82752i −0.0842244 0.107100i
\(698\) −0.976489 1.02411i −0.0369607 0.0387632i
\(699\) 3.23314 + 5.03087i 0.122289 + 0.190285i
\(700\) −50.5876 + 57.6968i −1.91203 + 2.18074i
\(701\) −2.04900 0.935746i −0.0773896 0.0353426i 0.376344 0.926480i \(-0.377181\pi\)
−0.453734 + 0.891137i \(0.649908\pi\)
\(702\) −8.53360 11.9838i −0.322080 0.452298i
\(703\) 8.51444 + 21.2680i 0.321128 + 0.802140i
\(704\) 64.5414 125.193i 2.43249 4.71838i
\(705\) 0.124077 0.118307i 0.00467299 0.00445569i
\(706\) 33.0586 4.75311i 1.24418 0.178886i
\(707\) −0.986853 + 2.42391i −0.0371144 + 0.0911606i
\(708\) −37.5243 24.1154i −1.41025 0.906312i
\(709\) −24.7974 + 8.58246i −0.931285 + 0.322321i −0.750249 0.661156i \(-0.770066\pi\)
−0.181036 + 0.983476i \(0.557945\pi\)
\(710\) −1.17725 1.12251i −0.0441816 0.0421270i
\(711\) −2.92367 2.08193i −0.109646 0.0780786i
\(712\) 6.74504 11.6828i 0.252781 0.437830i
\(713\) 23.6067 + 2.08153i 0.884077 + 0.0779539i
\(714\) 5.37242 + 10.5722i 0.201058 + 0.395654i
\(715\) 0.678966 + 1.48673i 0.0253919 + 0.0556005i
\(716\) −19.9051 + 82.0499i −0.743888 + 3.06635i
\(717\) −5.01205 + 26.0050i −0.187178 + 0.971173i
\(718\) 46.9952 + 2.23866i 1.75385 + 0.0835460i
\(719\) 0.593665 + 3.08023i 0.0221400 + 0.114873i 0.991317 0.131491i \(-0.0419763\pi\)
−0.969177 + 0.246364i \(0.920764\pi\)
\(720\) −0.261999 1.82224i −0.00976411 0.0679109i
\(721\) 4.04440 + 4.72295i 0.150621 + 0.175892i
\(722\) 114.915 73.8512i 4.27668 2.74846i
\(723\) 7.08886 9.01422i 0.263638 0.335243i
\(724\) −126.096 + 12.0407i −4.68631 + 0.447488i
\(725\) −17.6025 + 1.68084i −0.653741 + 0.0624247i
\(726\) −2.79480 + 3.55388i −0.103725 + 0.131897i
\(727\) 16.1507 10.3794i 0.598997 0.384952i −0.205720 0.978611i \(-0.565954\pi\)
0.804717 + 0.593659i \(0.202317\pi\)
\(728\) 139.946 + 49.3530i 5.18675 + 1.82914i
\(729\) 0.142315 + 0.989821i 0.00527092 + 0.0366601i
\(730\) −0.379637 1.96975i −0.0140510 0.0729035i
\(731\) −13.2707 0.632159i −0.490833 0.0233813i
\(732\) 7.91355 41.0594i 0.292493 1.51760i
\(733\) −2.70628 + 11.1555i −0.0999589 + 0.412036i −0.999703 0.0243823i \(-0.992238\pi\)
0.899744 + 0.436418i \(0.143753\pi\)
\(734\) −3.57831 7.83541i −0.132078 0.289210i
\(735\) 0.0757026 0.705590i 0.00279233 0.0260261i
\(736\) −98.1889 101.494i −3.61929 3.74110i
\(737\) −5.33957 + 9.24841i −0.196686 + 0.340670i
\(738\) 5.10713 + 3.63677i 0.187996 + 0.133872i
\(739\) −32.7880 31.2633i −1.20613 1.15004i −0.984588 0.174889i \(-0.944043\pi\)
−0.221539 0.975151i \(-0.571108\pi\)
\(740\) −1.54844 + 0.535922i −0.0569220 + 0.0197009i
\(741\) 36.4786 + 23.4434i 1.34007 + 0.861214i
\(742\) 29.1541 + 37.5213i 1.07028 + 1.37745i
\(743\) 6.77952 0.974748i 0.248717 0.0357600i −0.0168289 0.999858i \(-0.505357\pi\)
0.265545 + 0.964098i \(0.414448\pi\)
\(744\) −38.1092 + 36.3371i −1.39715 + 1.33218i
\(745\) 0.474556 0.920510i 0.0173864 0.0337249i
\(746\) −17.1709 42.8909i −0.628673 1.57035i
\(747\) 1.25590 + 1.76366i 0.0459510 + 0.0645291i
\(748\) −25.9708 11.8605i −0.949588 0.433662i
\(749\) 20.2335 + 17.7404i 0.739315 + 0.648218i
\(750\) −1.53037 2.38130i −0.0558811 0.0869527i
\(751\) 17.4343 + 18.2846i 0.636187 + 0.667214i 0.960353 0.278786i \(-0.0899321\pi\)
−0.324166 + 0.946000i \(0.605084\pi\)
\(752\) 18.9837 + 24.1397i 0.692263 + 0.880284i
\(753\) 15.4325 + 5.34123i 0.562391 + 0.194645i
\(754\) 23.8897 + 46.3396i 0.870012 + 1.68759i
\(755\) 0.797296 0.920129i 0.0290166 0.0334869i
\(756\) −10.5471 11.1916i −0.383593 0.407034i
\(757\) 4.34389 1.98379i 0.157881 0.0721019i −0.334907 0.942251i \(-0.608705\pi\)
0.492788 + 0.870149i \(0.335978\pi\)
\(758\) −51.4193 29.6870i −1.86763 1.07828i
\(759\) −8.03143 12.3001i −0.291522 0.446466i
\(760\) 4.44991 + 7.70748i 0.161415 + 0.279580i
\(761\) −4.27856 + 44.8071i −0.155098 + 1.62426i 0.498136 + 0.867099i \(0.334018\pi\)
−0.653234 + 0.757156i \(0.726588\pi\)
\(762\) −8.24622 28.0840i −0.298729 1.01738i
\(763\) 19.1914 + 4.77463i 0.694775 + 0.172853i
\(764\) −41.0682 + 63.9033i −1.48579 + 2.31194i
\(765\) −0.159633 + 0.0307667i −0.00577154 + 0.00111237i
\(766\) −62.2239 + 48.9334i −2.24824 + 1.76804i
\(767\) 9.52274 + 39.2533i 0.343846 + 1.41735i
\(768\) 102.554 4.88525i 3.70060 0.176281i
\(769\) 4.06906 28.3009i 0.146734 1.02056i −0.774785 0.632224i \(-0.782142\pi\)
0.921519 0.388332i \(-0.126949\pi\)
\(770\) 1.23020 + 1.93904i 0.0443335 + 0.0698783i
\(771\) 5.74486 12.5795i 0.206896 0.453039i
\(772\) −65.4988 51.5089i −2.35735 1.85384i
\(773\) 13.6251 + 7.02422i 0.490060 + 0.252644i 0.685501 0.728072i \(-0.259583\pi\)
−0.195441 + 0.980716i \(0.562614\pi\)
\(774\) 22.5039 5.45939i 0.808886 0.196234i
\(775\) −9.16385 + 22.8902i −0.329175 + 0.822240i
\(776\) 28.7958 + 33.2321i 1.03371 + 1.19296i
\(777\) −4.30253 + 5.96798i −0.154352 + 0.214100i
\(778\) −27.7476 24.0435i −0.994801 0.862000i
\(779\) −17.9588 4.35676i −0.643441 0.156097i
\(780\) −1.79903 + 2.52638i −0.0644155 + 0.0904589i
\(781\) 15.2281 8.79196i 0.544905 0.314601i
\(782\) −14.7208 + 15.6646i −0.526415 + 0.560166i
\(783\) 3.54380i 0.126645i
\(784\) 124.531 + 25.5136i 4.44755 + 0.911201i
\(785\) 0.0632632 0.0185757i 0.00225796 0.000662996i
\(786\) 16.5247 + 47.7450i 0.589417 + 1.70301i
\(787\) −1.31502 + 27.6057i −0.0468754 + 0.984036i 0.845846 + 0.533427i \(0.179096\pi\)
−0.892722 + 0.450609i \(0.851207\pi\)
\(788\) 8.91521 25.7588i 0.317591 0.917619i
\(789\) 0.183331 + 0.0733946i 0.00652675 + 0.00261292i
\(790\) −0.286528 + 0.975825i −0.0101942 + 0.0347183i
\(791\) −24.8763 + 14.1693i −0.884500 + 0.503801i
\(792\) 32.3082 + 4.64522i 1.14802 + 0.165061i
\(793\) −30.8441 + 21.9640i −1.09531 + 0.779965i
\(794\) −1.06007 11.1016i −0.0376206 0.393981i
\(795\) −0.604729 + 0.242097i −0.0214475 + 0.00858630i
\(796\) 1.29430 + 27.1707i 0.0458752 + 0.963039i
\(797\) −20.7398 6.08975i −0.734641 0.215710i −0.107050 0.994254i \(-0.534141\pi\)
−0.627590 + 0.778544i \(0.715959\pi\)
\(798\) 55.2694 + 25.6319i 1.95651 + 0.907358i
\(799\) 2.04952 1.77591i 0.0725066 0.0628274i
\(800\) 130.592 67.3251i 4.61714 2.38030i
\(801\) 1.24307 + 0.239582i 0.0439218 + 0.00846523i
\(802\) −68.7254 + 72.0772i −2.42678 + 2.54513i
\(803\) 21.5866 + 2.06127i 0.761774 + 0.0727406i
\(804\) −20.2646 −0.714677
\(805\) 1.24964 0.305028i 0.0440441 0.0107508i
\(806\) 72.6966 2.56063
\(807\) 11.4829 + 1.09649i 0.404218 + 0.0385982i
\(808\) 7.27393 7.62868i 0.255896 0.268376i
\(809\) 37.6956 + 7.26524i 1.32531 + 0.255432i 0.802313 0.596904i \(-0.203603\pi\)
0.522995 + 0.852336i \(0.324815\pi\)
\(810\) 0.251858 0.129842i 0.00884937 0.00456217i
\(811\) −19.8485 + 17.1988i −0.696976 + 0.603933i −0.929572 0.368640i \(-0.879823\pi\)
0.232596 + 0.972573i \(0.425278\pi\)
\(812\) 31.3519 + 44.5763i 1.10024 + 1.56432i
\(813\) 17.6047 + 5.16919i 0.617422 + 0.181292i
\(814\) −1.13281 23.7807i −0.0397051 0.833512i
\(815\) 0.514251 0.205875i 0.0180134 0.00721149i
\(816\) −2.76816 28.9895i −0.0969050 1.01483i
\(817\) −55.5977 + 39.5910i −1.94512 + 1.38511i
\(818\) 27.9045 + 4.01206i 0.975657 + 0.140278i
\(819\) −0.0813335 + 13.9255i −0.00284202 + 0.486595i
\(820\) 0.372382 1.26822i 0.0130041 0.0442880i
\(821\) −28.7722 11.5186i −1.00416 0.402004i −0.189458 0.981889i \(-0.560673\pi\)
−0.814698 + 0.579885i \(0.803097\pi\)
\(822\) −11.3210 + 32.7099i −0.394866 + 1.14089i
\(823\) 1.67945 35.2561i 0.0585421 1.22895i −0.758229 0.651988i \(-0.773935\pi\)
0.816771 0.576962i \(-0.195762\pi\)
\(824\) −8.19101 23.6664i −0.285347 0.824457i
\(825\) 14.6648 4.30598i 0.510563 0.149915i
\(826\) 20.7839 + 52.8075i 0.723165 + 1.83741i
\(827\) 0.570054i 0.0198227i 0.999951 + 0.00991136i \(0.00315494\pi\)
−0.999951 + 0.00991136i \(0.996845\pi\)
\(828\) 12.5933 24.8688i 0.437648 0.864249i
\(829\) 14.8389 8.56724i 0.515376 0.297552i −0.219665 0.975575i \(-0.570496\pi\)
0.735041 + 0.678023i \(0.237163\pi\)
\(830\) 0.355868 0.499746i 0.0123523 0.0173464i
\(831\) 18.4238 + 4.46957i 0.639115 + 0.155048i
\(832\) −182.913 158.495i −6.34138 5.49484i
\(833\) 1.72721 11.0917i 0.0598444 0.384304i
\(834\) −16.6447 19.2091i −0.576360 0.665155i
\(835\) 0.626854 1.56581i 0.0216932 0.0541869i
\(836\) −142.542 + 34.5803i −4.92992 + 1.19599i
\(837\) −4.39212 2.26430i −0.151814 0.0782655i
\(838\) 16.7397 + 13.1642i 0.578262 + 0.454750i
\(839\) 18.3146 40.1035i 0.632292 1.38453i −0.273941 0.961746i \(-0.588327\pi\)
0.906233 0.422779i \(-0.138945\pi\)
\(840\) −1.32450 + 2.53275i −0.0456997 + 0.0873880i
\(841\) 2.33987 16.2741i 0.0806851 0.561177i
\(842\) −8.28380 + 0.394606i −0.285479 + 0.0135990i
\(843\) 2.94961 + 12.1584i 0.101590 + 0.418759i
\(844\) −55.6033 + 43.7269i −1.91395 + 1.50514i
\(845\) 1.46367 0.282099i 0.0503517 0.00970449i
\(846\) −2.55549 + 3.97641i −0.0878594 + 0.136712i
\(847\) 4.11324 1.18171i 0.141333 0.0406039i
\(848\) −32.8736 111.957i −1.12888 3.84462i
\(849\) 1.91020 20.0045i 0.0655579 0.686553i
\(850\) −11.1826 19.3688i −0.383560 0.664345i
\(851\) −12.8228 3.66432i −0.439559 0.125611i
\(852\) 28.8967 + 16.6835i 0.989983 + 0.571567i
\(853\) 29.4613 13.4545i 1.00873 0.460673i 0.158658 0.987334i \(-0.449283\pi\)
0.850076 + 0.526660i \(0.176556\pi\)
\(854\) −38.7168 + 36.4871i −1.32486 + 1.24856i
\(855\) −0.546931 + 0.631192i −0.0187046 + 0.0215863i
\(856\) −49.6630 96.3327i −1.69745 3.29259i
\(857\) −3.20714 1.11000i −0.109554 0.0379170i 0.271741 0.962370i \(-0.412401\pi\)
−0.381295 + 0.924453i \(0.624522\pi\)
\(858\) −27.8561 35.4219i −0.950991 1.20928i
\(859\) −18.0172 18.8959i −0.614738 0.644719i 0.340609 0.940205i \(-0.389367\pi\)
−0.955347 + 0.295486i \(0.904518\pi\)
\(860\) −2.63931 4.10685i −0.0899997 0.140042i
\(861\) −1.90827 5.61957i −0.0650337 0.191514i
\(862\) 80.3565 + 36.6976i 2.73695 + 1.24992i
\(863\) −0.877192 1.23184i −0.0298600 0.0419325i 0.799376 0.600831i \(-0.205164\pi\)
−0.829236 + 0.558899i \(0.811224\pi\)
\(864\) 10.9438 + 27.3363i 0.372316 + 0.930001i
\(865\) 0.163780 0.317689i 0.00556868 0.0108017i
\(866\) −44.0976 + 42.0470i −1.49850 + 1.42881i
\(867\) 14.2815 2.05337i 0.485026 0.0697362i
\(868\) 75.2793 10.3751i 2.55514 0.352155i
\(869\) −9.24872 5.94379i −0.313741 0.201629i
\(870\) −0.948931 + 0.328428i −0.0321718 + 0.0111348i
\(871\) 13.2808 + 12.6632i 0.450004 + 0.429078i
\(872\) −64.8826 46.2027i −2.19720 1.56462i
\(873\) −2.06325 + 3.57365i −0.0698304 + 0.120950i
\(874\) −9.69989 + 110.007i −0.328104 + 3.72103i
\(875\) −0.143122 + 2.67560i −0.00483840 + 0.0904519i
\(876\) 17.0938 + 37.4302i 0.577545 + 1.26465i
\(877\) −0.192572 + 0.793792i −0.00650269 + 0.0268044i −0.974970 0.222334i \(-0.928632\pi\)
0.968468 + 0.249139i \(0.0801475\pi\)
\(878\) −4.69026 + 24.3354i −0.158289 + 0.821279i
\(879\) −7.61114 0.362563i −0.256717 0.0122290i
\(880\) −1.06720 5.53716i −0.0359753 0.186658i
\(881\) −5.99750 41.7135i −0.202061 1.40536i −0.798156 0.602450i \(-0.794191\pi\)
0.596096 0.802913i \(-0.296718\pi\)
\(882\) 2.55806 + 19.3976i 0.0861344 + 0.653151i
\(883\) 3.18502 2.04689i 0.107184 0.0688832i −0.485950 0.873986i \(-0.661526\pi\)
0.593135 + 0.805103i \(0.297890\pi\)
\(884\) −30.3270 + 38.5640i −1.02001 + 1.29705i
\(885\) −0.774452 + 0.0739512i −0.0260329 + 0.00248584i
\(886\) 59.6502 5.69590i 2.00399 0.191358i
\(887\) 31.4061 39.9361i 1.05451 1.34092i 0.116940 0.993139i \(-0.462691\pi\)
0.937574 0.347785i \(-0.113066\pi\)
\(888\) 24.9281 16.0203i 0.836533 0.537607i
\(889\) −9.21449 + 26.1288i −0.309044 + 0.876331i
\(890\) −0.0510505 0.355064i −0.00171122 0.0119018i
\(891\) 0.579692 + 3.00773i 0.0194204 + 0.100763i
\(892\) 32.8163 + 1.56323i 1.09877 + 0.0523409i
\(893\) 2.63665 13.6803i 0.0882322 0.457792i
\(894\) −6.73177 + 27.7487i −0.225144 + 0.928057i
\(895\) 0.611728 + 1.33950i 0.0204478 + 0.0447745i
\(896\) −154.407 100.510i −5.15837 3.35781i
\(897\) −23.7936 + 8.42877i −0.794447 + 0.281428i
\(898\) −20.1410 + 34.8853i −0.672114 + 1.16414i
\(899\) 14.2644 + 10.1576i 0.475744 + 0.338776i
\(900\) 20.9901 + 20.0140i 0.699671 + 0.667135i
\(901\) −9.73723 + 3.37009i −0.324394 + 0.112274i
\(902\) 16.1559 + 10.3828i 0.537932 + 0.345708i
\(903\) −20.3015 8.26538i −0.675590 0.275055i
\(904\) 114.132 16.4097i 3.79597 0.545778i
\(905\) −1.59893 + 1.52458i −0.0531504 + 0.0506788i
\(906\) −15.3817 + 29.8364i −0.511023 + 0.991247i
\(907\) 3.05838 + 7.63947i 0.101552 + 0.253664i 0.970439 0.241345i \(-0.0775887\pi\)
−0.868887 + 0.495010i \(0.835164\pi\)
\(908\) 74.9887 + 105.307i 2.48859 + 3.49473i
\(909\) 0.899782 + 0.410917i 0.0298439 + 0.0136293i
\(910\) 3.73639 1.26879i 0.123860 0.0420600i
\(911\) 4.12929 + 6.42529i 0.136809 + 0.212879i 0.902897 0.429856i \(-0.141436\pi\)
−0.766088 + 0.642736i \(0.777799\pi\)
\(912\) −103.241 108.276i −3.41864 3.58537i
\(913\) 4.09961 + 5.21308i 0.135677 + 0.172528i
\(914\) 58.0030 + 20.0750i 1.91857 + 0.664023i
\(915\) −0.334190 0.648238i −0.0110480 0.0214301i
\(916\) 52.0525 60.0718i 1.71986 1.98483i
\(917\) 13.7415 45.8078i 0.453785 1.51271i
\(918\) 4.07720 1.86199i 0.134568 0.0614550i
\(919\) 39.6321 + 22.8816i 1.30734 + 0.754794i 0.981652 0.190683i \(-0.0610704\pi\)
0.325689 + 0.945477i \(0.394404\pi\)
\(920\) −5.13334 0.700106i −0.169241 0.0230818i
\(921\) 12.5088 + 21.6659i 0.412180 + 0.713917i
\(922\) 8.56627 89.7101i 0.282115 2.95444i
\(923\) −8.51260 28.9913i −0.280196 0.954259i
\(924\) −33.9010 32.7047i −1.11526 1.07591i
\(925\) 7.50152 11.6726i 0.246649 0.383793i
\(926\) 20.4605 3.94344i 0.672375 0.129590i
\(927\) 1.84737 1.45278i 0.0606755 0.0477157i
\(928\) −24.6013 101.408i −0.807576 3.32887i
\(929\) −35.8075 + 1.70572i −1.17481 + 0.0559629i −0.625888 0.779913i \(-0.715263\pi\)
−0.548919 + 0.835876i \(0.684960\pi\)
\(930\) −0.199268 + 1.38594i −0.00653424 + 0.0454466i
\(931\) −28.2491 50.2761i −0.925827 1.64773i
\(932\) −14.4397 + 31.6185i −0.472988 + 1.03570i
\(933\) −14.4039 11.3273i −0.471562 0.370840i
\(934\) −98.9527 51.0137i −3.23783 1.66922i
\(935\) −0.483930 + 0.117400i −0.0158262 + 0.00383940i
\(936\) 20.8456 52.0698i 0.681360 1.70196i
\(937\) −4.02534 4.64549i −0.131502 0.151761i 0.686180 0.727432i \(-0.259286\pi\)
−0.817682 + 0.575671i \(0.804741\pi\)
\(938\) 20.9139 + 15.0776i 0.682863 + 0.492301i
\(939\) 4.38684 + 3.80122i 0.143159 + 0.124048i
\(940\) 0.968394 + 0.234930i 0.0315855 + 0.00766257i
\(941\) −15.9853 + 22.4482i −0.521105 + 0.731789i −0.988326 0.152351i \(-0.951316\pi\)
0.467222 + 0.884140i \(0.345255\pi\)
\(942\) −1.57432 + 0.908935i −0.0512942 + 0.0296147i
\(943\) 8.40761 6.71106i 0.273789 0.218542i
\(944\) 139.359i 4.53575i
\(945\) −0.265261 0.0397214i −0.00862894 0.00129214i
\(946\) 68.0575 19.9835i 2.21274 0.649719i
\(947\) 0.655391 + 1.89363i 0.0212973 + 0.0615346i 0.955148 0.296127i \(-0.0956952\pi\)
−0.933851 + 0.357662i \(0.883574\pi\)
\(948\) 0.992654 20.8384i 0.0322399 0.676799i
\(949\) 12.1872 35.2125i 0.395612 1.14305i
\(950\) −106.668 42.7034i −3.46076 1.38548i
\(951\) −0.0653614 + 0.222601i −0.00211949 + 0.00721832i
\(952\) −22.8341 + 39.0217i −0.740057 + 1.26470i
\(953\) 7.43608 + 1.06915i 0.240878 + 0.0346331i 0.261696 0.965150i \(-0.415718\pi\)
−0.0208183 + 0.999783i \(0.506627\pi\)
\(954\) 14.6294 10.4175i 0.473644 0.337280i
\(955\) 0.125938 + 1.31888i 0.00407526 + 0.0426780i
\(956\) −142.908 + 57.2117i −4.62197 + 1.85036i
\(957\) −0.516499 10.8426i −0.0166960 0.350493i
\(958\) 36.9175 + 10.8399i 1.19275 + 0.350223i
\(959\) 26.7997 18.8490i 0.865406 0.608667i
\(960\) 3.52304 3.05273i 0.113706 0.0985265i
\(961\) −5.85054 + 3.01616i −0.188727 + 0.0972955i
\(962\) −40.1703 7.74220i −1.29514 0.249619i
\(963\) 7.01864 7.36094i 0.226173 0.237203i
\(964\) 66.3537 + 6.33601i 2.13711 + 0.204069i
\(965\) −1.45332 −0.0467841
\(966\) −31.5001 + 16.2957i −1.01350 + 0.524306i
\(967\) −29.6202 −0.952522 −0.476261 0.879304i \(-0.658008\pi\)
−0.476261 + 0.879304i \(0.658008\pi\)
\(968\) −17.1587 1.63846i −0.551501 0.0526620i
\(969\) −9.11685 + 9.56147i −0.292875 + 0.307159i
\(970\) 1.14814 + 0.221286i 0.0368646 + 0.00710507i
\(971\) 8.37986 4.32012i 0.268922 0.138639i −0.318492 0.947926i \(-0.603176\pi\)
0.587414 + 0.809287i \(0.300146\pi\)
\(972\) −4.39276 + 3.80635i −0.140898 + 0.122089i
\(973\) 2.14706 + 23.9633i 0.0688317 + 0.768229i
\(974\) −62.5349 18.3619i −2.00375 0.588353i
\(975\) −1.24964 26.2332i −0.0400206 0.840136i
\(976\) 121.284 48.5547i 3.88220 1.55420i
\(977\) 3.45603 + 36.1932i 0.110568 + 1.15792i 0.865079 + 0.501635i \(0.167268\pi\)
−0.754511 + 0.656287i \(0.772126\pi\)
\(978\) −12.4406 + 8.85889i −0.397806 + 0.283276i
\(979\) 3.83823 + 0.551855i 0.122670 + 0.0176373i
\(980\) 3.68805 1.84712i 0.117810 0.0590039i
\(981\) 2.10589 7.17200i 0.0672359 0.228984i
\(982\) −42.2611 16.9188i −1.34860 0.539900i
\(983\) 12.6182 36.4578i 0.402457 1.16282i −0.543745 0.839250i \(-0.682994\pi\)
0.946203 0.323574i \(-0.104885\pi\)
\(984\) −1.13735 + 23.8758i −0.0362572 + 0.761133i
\(985\) −0.155493 0.449269i −0.00495443 0.0143149i
\(986\) −15.2408 + 4.47509i −0.485365 + 0.142516i
\(987\) 4.16339 1.63862i 0.132522 0.0521579i
\(988\) 252.041i 8.01848i
\(989\) 1.60270 39.7002i 0.0509628 1.26239i
\(990\) 0.751662 0.433972i 0.0238894 0.0137925i
\(991\) −6.97055 + 9.78877i −0.221427 + 0.310951i −0.910314 0.413918i \(-0.864160\pi\)
0.688887 + 0.724868i \(0.258099\pi\)
\(992\) −141.402 34.3037i −4.48951 1.08914i
\(993\) 14.1004 + 12.2181i 0.447462 + 0.387728i
\(994\) −17.4094 38.7182i −0.552194 1.22807i
\(995\) 0.310686 + 0.358551i 0.00984941 + 0.0113668i
\(996\) −4.67727 + 11.6833i −0.148205 + 0.370198i
\(997\) 55.9977 13.5849i 1.77346 0.430238i 0.790263 0.612767i \(-0.209944\pi\)
0.983200 + 0.182530i \(0.0584286\pi\)
\(998\) −59.6792 30.7668i −1.88911 0.973906i
\(999\) 2.18583 + 1.71895i 0.0691565 + 0.0543853i
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 483.2.bf.a.19.1 640
7.3 odd 6 inner 483.2.bf.a.157.32 yes 640
23.17 odd 22 inner 483.2.bf.a.40.32 yes 640
161.17 even 66 inner 483.2.bf.a.178.1 yes 640
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
483.2.bf.a.19.1 640 1.1 even 1 trivial
483.2.bf.a.40.32 yes 640 23.17 odd 22 inner
483.2.bf.a.157.32 yes 640 7.3 odd 6 inner
483.2.bf.a.178.1 yes 640 161.17 even 66 inner