Properties

Label 490.2.p.a.239.24
Level $490$
Weight $2$
Character 490.239
Analytic conductor $3.913$
Analytic rank $0$
Dimension $168$
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] = [490,2,Mod(29,490)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(490, base_ring=CyclotomicField(14))
 
chi = DirichletCharacter(H, H._module([7, 6]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("490.29");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 490 = 2 \cdot 5 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 490.p (of order \(14\), degree \(6\), 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: \(3.91266969904\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 239.24
Character \(\chi\) \(=\) 490.239
Dual form 490.2.p.a.449.24

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.781831 + 0.623490i) q^{2} +(0.609689 - 1.26603i) q^{3} +(0.222521 + 0.974928i) q^{4} +(0.585392 + 2.15808i) q^{5} +(1.26603 - 0.609689i) q^{6} +(-2.32947 + 1.25442i) q^{7} +(-0.433884 + 0.900969i) q^{8} +(0.639354 + 0.801724i) q^{9} +O(q^{10})\) \(q+(0.781831 + 0.623490i) q^{2} +(0.609689 - 1.26603i) q^{3} +(0.222521 + 0.974928i) q^{4} +(0.585392 + 2.15808i) q^{5} +(1.26603 - 0.609689i) q^{6} +(-2.32947 + 1.25442i) q^{7} +(-0.433884 + 0.900969i) q^{8} +(0.639354 + 0.801724i) q^{9} +(-0.887864 + 2.05224i) q^{10} +(0.870567 - 1.09166i) q^{11} +(1.36996 + 0.312684i) q^{12} +(4.70553 + 3.75254i) q^{13} +(-2.60337 - 0.471655i) q^{14} +(3.08911 + 0.574633i) q^{15} +(-0.900969 + 0.433884i) q^{16} +(-5.50433 - 1.25633i) q^{17} +1.02544i q^{18} -0.518040 q^{19} +(-1.97371 + 1.05093i) q^{20} +(0.167885 + 3.71399i) q^{21} +(1.36127 - 0.310702i) q^{22} +(3.76279 - 0.858833i) q^{23} +(0.876121 + 1.09862i) q^{24} +(-4.31463 + 2.52665i) q^{25} +(1.33927 + 5.86770i) q^{26} +(5.51469 - 1.25869i) q^{27} +(-1.74133 - 1.99193i) q^{28} +(0.815196 - 3.57161i) q^{29} +(2.05688 + 2.37529i) q^{30} +9.05372 q^{31} +(-0.974928 - 0.222521i) q^{32} +(-0.851297 - 1.76774i) q^{33} +(-3.52015 - 4.41413i) q^{34} +(-4.07080 - 4.29286i) q^{35} +(-0.639354 + 0.801724i) q^{36} +(-9.64036 - 2.20035i) q^{37} +(-0.405020 - 0.322992i) q^{38} +(7.61974 - 3.66947i) q^{39} +(-2.19836 - 0.408936i) q^{40} +(1.08410 + 0.522075i) q^{41} +(-2.18438 + 3.00839i) q^{42} +(-3.28740 - 6.82635i) q^{43} +(1.25801 + 0.605824i) q^{44} +(-1.35591 + 1.84910i) q^{45} +(3.47734 + 1.67460i) q^{46} +(2.36623 + 1.88701i) q^{47} +1.40519i q^{48} +(3.85286 - 5.84427i) q^{49} +(-4.94865 - 0.714716i) q^{50} +(-4.94647 + 6.20268i) q^{51} +(-2.61137 + 5.42257i) q^{52} +(8.79601 - 2.00763i) q^{53} +(5.09634 + 2.45427i) q^{54} +(2.86551 + 1.23971i) q^{55} +(-0.119475 - 2.64305i) q^{56} +(-0.315843 + 0.655855i) q^{57} +(2.86421 - 2.28413i) q^{58} +(-3.85188 + 1.85497i) q^{59} +(0.127165 + 3.13952i) q^{60} +(0.387284 - 1.69680i) q^{61} +(7.07849 + 5.64490i) q^{62} +(-2.49505 - 1.06557i) q^{63} +(-0.623490 - 0.781831i) q^{64} +(-5.34370 + 12.3516i) q^{65} +(0.436595 - 1.91285i) q^{66} -12.7488i q^{67} -5.64588i q^{68} +(1.20682 - 5.28744i) q^{69} +(-0.506124 - 5.89439i) q^{70} +(-0.131676 - 0.576909i) q^{71} +(-0.999734 + 0.228183i) q^{72} +(-10.5778 + 8.43551i) q^{73} +(-6.16524 - 7.73097i) q^{74} +(0.568234 + 7.00293i) q^{75} +(-0.115275 - 0.505051i) q^{76} +(-0.658563 + 3.63504i) q^{77} +(8.24523 + 1.88192i) q^{78} -13.0654 q^{79} +(-1.46378 - 1.69037i) q^{80} +(1.08415 - 4.74998i) q^{81} +(0.522075 + 1.08410i) q^{82} +(0.153853 - 0.122694i) q^{83} +(-3.58351 + 0.990116i) q^{84} +(-0.510934 - 12.6142i) q^{85} +(1.68597 - 7.38672i) q^{86} +(-4.02475 - 3.20963i) q^{87} +(0.605824 + 1.25801i) q^{88} +(4.00589 + 5.02322i) q^{89} +(-2.21299 + 0.600287i) q^{90} +(-15.6687 - 2.83870i) q^{91} +(1.67460 + 3.47734i) q^{92} +(5.51995 - 11.4623i) q^{93} +(0.673466 + 2.95065i) q^{94} +(-0.303256 - 1.11797i) q^{95} +(-0.876121 + 1.09862i) q^{96} +9.57361i q^{97} +(6.65613 - 2.16702i) q^{98} +1.43181 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q + 28 q^{4} - 4 q^{5} + 14 q^{6} + 18 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 168 q + 28 q^{4} - 4 q^{5} + 14 q^{6} + 18 q^{9} - 4 q^{10} - 24 q^{11} + 4 q^{14} - 2 q^{15} - 28 q^{16} + 44 q^{19} - 10 q^{20} + 22 q^{26} - 2 q^{29} - 12 q^{30} - 16 q^{31} - 8 q^{34} - 4 q^{35} - 18 q^{36} - 80 q^{39} - 10 q^{40} + 52 q^{41} - 18 q^{44} - 72 q^{45} + 26 q^{46} - 52 q^{49} - 8 q^{50} + 64 q^{51} - 42 q^{54} - 60 q^{55} + 10 q^{56} - 58 q^{59} + 2 q^{60} + 32 q^{61} + 28 q^{64} + 4 q^{65} + 48 q^{66} - 48 q^{69} + 18 q^{70} - 68 q^{71} - 10 q^{74} - 16 q^{76} - 4 q^{80} + 34 q^{81} + 84 q^{84} - 48 q^{85} - 64 q^{86} + 100 q^{89} + 54 q^{90} + 78 q^{91} - 86 q^{94} - 64 q^{95} - 212 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/490\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(197\)
\(\chi(n)\) \(e\left(\frac{1}{7}\right)\) \(-1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.781831 + 0.623490i 0.552838 + 0.440874i
\(3\) 0.609689 1.26603i 0.352004 0.730944i −0.647512 0.762055i \(-0.724190\pi\)
0.999516 + 0.0311116i \(0.00990471\pi\)
\(4\) 0.222521 + 0.974928i 0.111260 + 0.487464i
\(5\) 0.585392 + 2.15808i 0.261795 + 0.965123i
\(6\) 1.26603 0.609689i 0.516855 0.248904i
\(7\) −2.32947 + 1.25442i −0.880457 + 0.474127i
\(8\) −0.433884 + 0.900969i −0.153401 + 0.318541i
\(9\) 0.639354 + 0.801724i 0.213118 + 0.267241i
\(10\) −0.887864 + 2.05224i −0.280767 + 0.648976i
\(11\) 0.870567 1.09166i 0.262486 0.329147i −0.633071 0.774094i \(-0.718206\pi\)
0.895557 + 0.444947i \(0.146777\pi\)
\(12\) 1.36996 + 0.312684i 0.395473 + 0.0902641i
\(13\) 4.70553 + 3.75254i 1.30508 + 1.04077i 0.995965 + 0.0897420i \(0.0286042\pi\)
0.309115 + 0.951025i \(0.399967\pi\)
\(14\) −2.60337 0.471655i −0.695780 0.126055i
\(15\) 3.08911 + 0.574633i 0.797604 + 0.148370i
\(16\) −0.900969 + 0.433884i −0.225242 + 0.108471i
\(17\) −5.50433 1.25633i −1.33500 0.304704i −0.505311 0.862937i \(-0.668622\pi\)
−0.829684 + 0.558233i \(0.811479\pi\)
\(18\) 1.02544i 0.241699i
\(19\) −0.518040 −0.118846 −0.0594232 0.998233i \(-0.518926\pi\)
−0.0594232 + 0.998233i \(0.518926\pi\)
\(20\) −1.97371 + 1.05093i −0.441335 + 0.234996i
\(21\) 0.167885 + 3.71399i 0.0366356 + 0.810459i
\(22\) 1.36127 0.310702i 0.290225 0.0662419i
\(23\) 3.76279 0.858833i 0.784597 0.179079i 0.188587 0.982056i \(-0.439609\pi\)
0.596009 + 0.802977i \(0.296752\pi\)
\(24\) 0.876121 + 1.09862i 0.178837 + 0.224255i
\(25\) −4.31463 + 2.52665i −0.862926 + 0.505330i
\(26\) 1.33927 + 5.86770i 0.262652 + 1.15075i
\(27\) 5.51469 1.25869i 1.06130 0.242235i
\(28\) −1.74133 1.99193i −0.329080 0.376439i
\(29\) 0.815196 3.57161i 0.151378 0.663231i −0.841107 0.540868i \(-0.818096\pi\)
0.992485 0.122362i \(-0.0390470\pi\)
\(30\) 2.05688 + 2.37529i 0.375534 + 0.433667i
\(31\) 9.05372 1.62610 0.813048 0.582196i \(-0.197806\pi\)
0.813048 + 0.582196i \(0.197806\pi\)
\(32\) −0.974928 0.222521i −0.172345 0.0393365i
\(33\) −0.851297 1.76774i −0.148192 0.307723i
\(34\) −3.52015 4.41413i −0.603701 0.757017i
\(35\) −4.07080 4.29286i −0.688090 0.725625i
\(36\) −0.639354 + 0.801724i −0.106559 + 0.133621i
\(37\) −9.64036 2.20035i −1.58487 0.361735i −0.662808 0.748789i \(-0.730636\pi\)
−0.922057 + 0.387054i \(0.873493\pi\)
\(38\) −0.405020 0.322992i −0.0657029 0.0523963i
\(39\) 7.61974 3.66947i 1.22014 0.587586i
\(40\) −2.19836 0.408936i −0.347591 0.0646585i
\(41\) 1.08410 + 0.522075i 0.169308 + 0.0815344i 0.516618 0.856216i \(-0.327191\pi\)
−0.347310 + 0.937750i \(0.612905\pi\)
\(42\) −2.18438 + 3.00839i −0.337057 + 0.464204i
\(43\) −3.28740 6.82635i −0.501324 1.04101i −0.986066 0.166352i \(-0.946801\pi\)
0.484743 0.874657i \(-0.338913\pi\)
\(44\) 1.25801 + 0.605824i 0.189652 + 0.0913314i
\(45\) −1.35591 + 1.84910i −0.202128 + 0.275648i
\(46\) 3.47734 + 1.67460i 0.512706 + 0.246906i
\(47\) 2.36623 + 1.88701i 0.345151 + 0.275248i 0.780686 0.624923i \(-0.214870\pi\)
−0.435536 + 0.900171i \(0.643441\pi\)
\(48\) 1.40519i 0.202822i
\(49\) 3.85286 5.84427i 0.550408 0.834896i
\(50\) −4.94865 0.714716i −0.699845 0.101076i
\(51\) −4.94647 + 6.20268i −0.692645 + 0.868549i
\(52\) −2.61137 + 5.42257i −0.362132 + 0.751976i
\(53\) 8.79601 2.00763i 1.20822 0.275769i 0.429460 0.903086i \(-0.358704\pi\)
0.778765 + 0.627316i \(0.215847\pi\)
\(54\) 5.09634 + 2.45427i 0.693524 + 0.333984i
\(55\) 2.86551 + 1.23971i 0.386385 + 0.167162i
\(56\) −0.119475 2.64305i −0.0159655 0.353193i
\(57\) −0.315843 + 0.655855i −0.0418344 + 0.0868701i
\(58\) 2.86421 2.28413i 0.376089 0.299921i
\(59\) −3.85188 + 1.85497i −0.501472 + 0.241496i −0.667480 0.744628i \(-0.732627\pi\)
0.166007 + 0.986125i \(0.446913\pi\)
\(60\) 0.127165 + 3.13952i 0.0164170 + 0.405311i
\(61\) 0.387284 1.69680i 0.0495866 0.217253i −0.944064 0.329762i \(-0.893032\pi\)
0.993651 + 0.112509i \(0.0358887\pi\)
\(62\) 7.07849 + 5.64490i 0.898969 + 0.716903i
\(63\) −2.49505 1.06557i −0.314347 0.134250i
\(64\) −0.623490 0.781831i −0.0779362 0.0977289i
\(65\) −5.34370 + 12.3516i −0.662804 + 1.53203i
\(66\) 0.436595 1.91285i 0.0537411 0.235455i
\(67\) 12.7488i 1.55751i −0.627329 0.778754i \(-0.715852\pi\)
0.627329 0.778754i \(-0.284148\pi\)
\(68\) 5.64588i 0.684664i
\(69\) 1.20682 5.28744i 0.145284 0.636532i
\(70\) −0.506124 5.89439i −0.0604933 0.704514i
\(71\) −0.131676 0.576909i −0.0156270 0.0684665i 0.966513 0.256617i \(-0.0826079\pi\)
−0.982140 + 0.188150i \(0.939751\pi\)
\(72\) −0.999734 + 0.228183i −0.117820 + 0.0268916i
\(73\) −10.5778 + 8.43551i −1.23804 + 0.987302i −0.238166 + 0.971224i \(0.576546\pi\)
−0.999871 + 0.0160774i \(0.994882\pi\)
\(74\) −6.16524 7.73097i −0.716695 0.898707i
\(75\) 0.568234 + 7.00293i 0.0656140 + 0.808629i
\(76\) −0.115275 0.505051i −0.0132229 0.0579334i
\(77\) −0.658563 + 3.63504i −0.0750502 + 0.414251i
\(78\) 8.24523 + 1.88192i 0.933589 + 0.213086i
\(79\) −13.0654 −1.46997 −0.734984 0.678084i \(-0.762810\pi\)
−0.734984 + 0.678084i \(0.762810\pi\)
\(80\) −1.46378 1.69037i −0.163655 0.188989i
\(81\) 1.08415 4.74998i 0.120461 0.527776i
\(82\) 0.522075 + 1.08410i 0.0576536 + 0.119719i
\(83\) 0.153853 0.122694i 0.0168876 0.0134674i −0.615010 0.788520i \(-0.710848\pi\)
0.631897 + 0.775052i \(0.282276\pi\)
\(84\) −3.58351 + 0.990116i −0.390993 + 0.108031i
\(85\) −0.510934 12.6142i −0.0554186 1.36821i
\(86\) 1.68597 7.38672i 0.181803 0.796530i
\(87\) −4.02475 3.20963i −0.431499 0.344109i
\(88\) 0.605824 + 1.25801i 0.0645810 + 0.134104i
\(89\) 4.00589 + 5.02322i 0.424623 + 0.532461i 0.947418 0.319998i \(-0.103682\pi\)
−0.522795 + 0.852458i \(0.675111\pi\)
\(90\) −2.21299 + 0.600287i −0.233270 + 0.0632758i
\(91\) −15.6687 2.83870i −1.64252 0.297577i
\(92\) 1.67460 + 3.47734i 0.174589 + 0.362538i
\(93\) 5.51995 11.4623i 0.572392 1.18859i
\(94\) 0.673466 + 2.95065i 0.0694627 + 0.304336i
\(95\) −0.303256 1.11797i −0.0311135 0.114702i
\(96\) −0.876121 + 1.09862i −0.0894187 + 0.112128i
\(97\) 9.57361i 0.972052i 0.873944 + 0.486026i \(0.161554\pi\)
−0.873944 + 0.486026i \(0.838446\pi\)
\(98\) 6.65613 2.16702i 0.672370 0.218902i
\(99\) 1.43181 0.143902
\(100\) −3.42340 3.64422i −0.342340 0.364422i
\(101\) −16.7881 8.08472i −1.67048 0.804459i −0.997923 0.0644112i \(-0.979483\pi\)
−0.672554 0.740048i \(-0.734803\pi\)
\(102\) −7.73462 + 1.76538i −0.765841 + 0.174798i
\(103\) 5.63633 11.7040i 0.555364 1.15322i −0.414606 0.910001i \(-0.636081\pi\)
0.969970 0.243224i \(-0.0782050\pi\)
\(104\) −5.42257 + 2.61137i −0.531727 + 0.256066i
\(105\) −7.91681 + 2.53645i −0.772602 + 0.247532i
\(106\) 8.12873 + 3.91459i 0.789533 + 0.380219i
\(107\) 9.52237 7.59384i 0.920563 0.734124i −0.0437077 0.999044i \(-0.513917\pi\)
0.964270 + 0.264920i \(0.0853456\pi\)
\(108\) 2.45427 + 5.09634i 0.236162 + 0.490395i
\(109\) 0.880040 1.10354i 0.0842925 0.105700i −0.737897 0.674913i \(-0.764181\pi\)
0.822189 + 0.569214i \(0.192752\pi\)
\(110\) 1.46740 + 2.75586i 0.139911 + 0.262761i
\(111\) −8.66333 + 10.8635i −0.822287 + 1.03112i
\(112\) 1.55451 2.14091i 0.146887 0.202297i
\(113\) 10.3394 8.24541i 0.972650 0.775663i −0.00186170 0.999998i \(-0.500593\pi\)
0.974512 + 0.224336i \(0.0720212\pi\)
\(114\) −0.655855 + 0.315843i −0.0614264 + 0.0295814i
\(115\) 4.05614 + 7.61766i 0.378237 + 0.710350i
\(116\) 3.66346 0.340143
\(117\) 6.17174i 0.570577i
\(118\) −4.16808 0.951336i −0.383703 0.0875776i
\(119\) 14.3981 3.97817i 1.31987 0.364678i
\(120\) −1.85804 + 2.53386i −0.169615 + 0.231309i
\(121\) 2.01390 + 8.82349i 0.183082 + 0.802135i
\(122\) 1.36073 1.08514i 0.123195 0.0982444i
\(123\) 1.32193 1.05420i 0.119194 0.0950542i
\(124\) 2.01464 + 8.82673i 0.180920 + 0.792663i
\(125\) −7.97846 7.83225i −0.713616 0.700538i
\(126\) −1.28634 2.38874i −0.114596 0.212806i
\(127\) −2.84104 0.648450i −0.252102 0.0575406i 0.0946022 0.995515i \(-0.469842\pi\)
−0.346704 + 0.937975i \(0.612699\pi\)
\(128\) 1.00000i 0.0883883i
\(129\) −10.6467 −0.937387
\(130\) −11.8790 + 6.32515i −1.04186 + 0.554752i
\(131\) 4.21344 2.02908i 0.368130 0.177282i −0.240668 0.970608i \(-0.577366\pi\)
0.608798 + 0.793326i \(0.291652\pi\)
\(132\) 1.53398 1.22331i 0.133516 0.106476i
\(133\) 1.20676 0.649840i 0.104639 0.0563483i
\(134\) 7.94872 9.96738i 0.686665 0.861050i
\(135\) 5.94462 + 11.1643i 0.511631 + 0.960872i
\(136\) 3.52015 4.41413i 0.301850 0.378508i
\(137\) −5.40202 11.2174i −0.461526 0.958368i −0.993736 0.111756i \(-0.964353\pi\)
0.532210 0.846612i \(-0.321362\pi\)
\(138\) 4.24019 3.38144i 0.360949 0.287847i
\(139\) 0.255544 + 0.123063i 0.0216749 + 0.0104381i 0.444690 0.895685i \(-0.353314\pi\)
−0.423015 + 0.906123i \(0.639028\pi\)
\(140\) 3.27939 4.92398i 0.277159 0.416153i
\(141\) 3.83168 1.84524i 0.322686 0.155397i
\(142\) 0.256748 0.533144i 0.0215459 0.0447404i
\(143\) 8.19297 1.86999i 0.685130 0.156376i
\(144\) −0.923893 0.444923i −0.0769911 0.0370769i
\(145\) 8.18503 0.331531i 0.679729 0.0275322i
\(146\) −13.5295 −1.11971
\(147\) −5.04999 8.44102i −0.416516 0.696204i
\(148\) 9.88828i 0.812812i
\(149\) 6.90454 8.65802i 0.565642 0.709293i −0.413947 0.910301i \(-0.635850\pi\)
0.979590 + 0.201008i \(0.0644217\pi\)
\(150\) −3.92199 + 5.82940i −0.320229 + 0.475968i
\(151\) −1.83898 8.05709i −0.149654 0.655676i −0.992981 0.118276i \(-0.962263\pi\)
0.843327 0.537401i \(-0.180594\pi\)
\(152\) 0.224769 0.466738i 0.0182312 0.0378574i
\(153\) −2.51198 5.21619i −0.203082 0.421704i
\(154\) −2.78129 + 2.43138i −0.224123 + 0.195926i
\(155\) 5.29998 + 19.5387i 0.425704 + 1.56938i
\(156\) 5.27302 + 6.61216i 0.422180 + 0.529397i
\(157\) 9.94732 + 20.6558i 0.793882 + 1.64851i 0.760735 + 0.649063i \(0.224839\pi\)
0.0331474 + 0.999450i \(0.489447\pi\)
\(158\) −10.2149 8.14612i −0.812655 0.648070i
\(159\) 2.82110 12.3601i 0.223728 0.980216i
\(160\) −0.0904968 2.23424i −0.00715440 0.176632i
\(161\) −7.68797 + 6.72075i −0.605897 + 0.529669i
\(162\) 3.80919 3.03773i 0.299278 0.238666i
\(163\) 4.57843 + 9.50720i 0.358610 + 0.744661i 0.999741 0.0227703i \(-0.00724863\pi\)
−0.641131 + 0.767432i \(0.721534\pi\)
\(164\) −0.267751 + 1.17309i −0.0209078 + 0.0916031i
\(165\) 3.31658 2.87199i 0.258195 0.223584i
\(166\) 0.196786 0.0152735
\(167\) 13.8543 + 3.16216i 1.07208 + 0.244695i 0.721907 0.691990i \(-0.243266\pi\)
0.350172 + 0.936685i \(0.386123\pi\)
\(168\) −3.41903 1.46018i −0.263784 0.112655i
\(169\) 5.16773 + 22.6413i 0.397518 + 1.74164i
\(170\) 7.46538 10.1808i 0.572568 0.780829i
\(171\) −0.331211 0.415325i −0.0253283 0.0317607i
\(172\) 5.92369 4.72398i 0.451677 0.360200i
\(173\) 17.2988 3.94833i 1.31520 0.300186i 0.493322 0.869847i \(-0.335782\pi\)
0.821880 + 0.569661i \(0.192925\pi\)
\(174\) −1.14550 5.01878i −0.0868405 0.380473i
\(175\) 6.88132 11.2981i 0.520179 0.854057i
\(176\) −0.310702 + 1.36127i −0.0234200 + 0.102610i
\(177\) 6.00756i 0.451556i
\(178\) 6.42494i 0.481570i
\(179\) −1.62917 + 7.13784i −0.121770 + 0.533507i 0.876840 + 0.480783i \(0.159648\pi\)
−0.998609 + 0.0527242i \(0.983210\pi\)
\(180\) −2.10446 0.910454i −0.156857 0.0678613i
\(181\) 0.851985 + 1.06836i 0.0633275 + 0.0794102i 0.812486 0.582980i \(-0.198113\pi\)
−0.749159 + 0.662390i \(0.769542\pi\)
\(182\) −10.4803 11.9886i −0.776855 0.888657i
\(183\) −1.91208 1.52483i −0.141345 0.112719i
\(184\) −0.858833 + 3.76279i −0.0633140 + 0.277397i
\(185\) −0.894858 22.0928i −0.0657913 1.62429i
\(186\) 11.4623 5.51995i 0.840457 0.404743i
\(187\) −6.16336 + 4.91512i −0.450710 + 0.359429i
\(188\) −1.31316 + 2.72681i −0.0957721 + 0.198873i
\(189\) −11.2674 + 9.84983i −0.819581 + 0.716469i
\(190\) 0.459949 1.06314i 0.0333682 0.0771285i
\(191\) −10.2516 4.93690i −0.741778 0.357221i 0.0245266 0.999699i \(-0.492192\pi\)
−0.766304 + 0.642478i \(0.777906\pi\)
\(192\) −1.36996 + 0.312684i −0.0988682 + 0.0225660i
\(193\) −0.661163 + 1.37292i −0.0475916 + 0.0988249i −0.923409 0.383818i \(-0.874609\pi\)
0.875817 + 0.482643i \(0.160323\pi\)
\(194\) −5.96905 + 7.48495i −0.428552 + 0.537388i
\(195\) 12.3796 + 14.2959i 0.886519 + 1.02375i
\(196\) 6.55508 + 2.45578i 0.468220 + 0.175413i
\(197\) 2.17170i 0.154727i −0.997003 0.0773637i \(-0.975350\pi\)
0.997003 0.0773637i \(-0.0246503\pi\)
\(198\) 1.11943 + 0.892718i 0.0795546 + 0.0634427i
\(199\) −8.39501 4.04282i −0.595106 0.286588i 0.111985 0.993710i \(-0.464279\pi\)
−0.707092 + 0.707122i \(0.749993\pi\)
\(200\) −0.404383 4.98362i −0.0285942 0.352395i
\(201\) −16.1403 7.77277i −1.13845 0.548249i
\(202\) −8.08472 16.7881i −0.568839 1.18121i
\(203\) 2.58132 + 9.34255i 0.181173 + 0.655718i
\(204\) −7.14786 3.44223i −0.500451 0.241004i
\(205\) −0.492057 + 2.64520i −0.0343667 + 0.184748i
\(206\) 11.7040 5.63633i 0.815453 0.392701i
\(207\) 3.09430 + 2.46762i 0.215069 + 0.171512i
\(208\) −5.86770 1.33927i −0.406852 0.0928613i
\(209\) −0.450988 + 0.565522i −0.0311955 + 0.0391179i
\(210\) −7.77106 2.95297i −0.536254 0.203775i
\(211\) 10.9896 + 13.7805i 0.756552 + 0.948686i 0.999773 0.0212847i \(-0.00677566\pi\)
−0.243222 + 0.969971i \(0.578204\pi\)
\(212\) 3.91459 + 8.12873i 0.268855 + 0.558284i
\(213\) −0.810666 0.185029i −0.0555459 0.0126780i
\(214\) 12.1796 0.832579
\(215\) 12.8074 11.0906i 0.873458 0.756370i
\(216\) −1.25869 + 5.51469i −0.0856431 + 0.375227i
\(217\) −21.0904 + 11.3572i −1.43171 + 0.770975i
\(218\) 1.37609 0.314083i 0.0932003 0.0212724i
\(219\) 4.23046 + 18.5349i 0.285868 + 1.25247i
\(220\) −0.570990 + 3.06952i −0.0384962 + 0.206947i
\(221\) −21.1864 26.5669i −1.42515 1.78708i
\(222\) −13.5465 + 3.09191i −0.909184 + 0.207515i
\(223\) −12.0251 + 2.74466i −0.805262 + 0.183796i −0.605289 0.796006i \(-0.706943\pi\)
−0.199973 + 0.979801i \(0.564085\pi\)
\(224\) 2.55020 0.704614i 0.170392 0.0470790i
\(225\) −4.78425 1.84372i −0.318950 0.122915i
\(226\) 13.2246 0.879688
\(227\) 22.2841i 1.47905i 0.673131 + 0.739523i \(0.264949\pi\)
−0.673131 + 0.739523i \(0.735051\pi\)
\(228\) −0.709693 0.161983i −0.0470005 0.0107276i
\(229\) −21.6735 + 10.4374i −1.43223 + 0.689724i −0.979410 0.201879i \(-0.935295\pi\)
−0.452817 + 0.891603i \(0.649581\pi\)
\(230\) −1.57831 + 8.48469i −0.104071 + 0.559464i
\(231\) 4.20056 + 3.05000i 0.276376 + 0.200675i
\(232\) 2.86421 + 2.28413i 0.188044 + 0.149960i
\(233\) −7.87070 1.79644i −0.515626 0.117688i −0.0432138 0.999066i \(-0.513760\pi\)
−0.472413 + 0.881377i \(0.656617\pi\)
\(234\) −3.84802 + 4.82526i −0.251553 + 0.315437i
\(235\) −2.68714 + 6.21117i −0.175290 + 0.405172i
\(236\) −2.66559 3.34254i −0.173515 0.217581i
\(237\) −7.96580 + 16.5412i −0.517435 + 1.07446i
\(238\) 13.7373 + 5.86683i 0.890454 + 0.380290i
\(239\) −0.457293 + 0.220221i −0.0295798 + 0.0142449i −0.448615 0.893725i \(-0.648083\pi\)
0.419035 + 0.907970i \(0.362368\pi\)
\(240\) −3.03251 + 0.822587i −0.195748 + 0.0530977i
\(241\) −3.35728 14.7092i −0.216262 0.947504i −0.960213 0.279270i \(-0.909908\pi\)
0.743951 0.668234i \(-0.232950\pi\)
\(242\) −3.92682 + 8.15413i −0.252426 + 0.524167i
\(243\) 7.91468 + 6.31175i 0.507727 + 0.404899i
\(244\) 1.74044 0.111420
\(245\) 14.8678 + 4.89359i 0.949872 + 0.312640i
\(246\) 1.69081 0.107802
\(247\) −2.43765 1.94396i −0.155104 0.123691i
\(248\) −3.92826 + 8.15712i −0.249445 + 0.517978i
\(249\) −0.0615317 0.269588i −0.00389942 0.0170845i
\(250\) −1.35449 11.0980i −0.0856653 0.701898i
\(251\) −13.6237 + 6.56081i −0.859918 + 0.414115i −0.811249 0.584700i \(-0.801212\pi\)
−0.0486685 + 0.998815i \(0.515498\pi\)
\(252\) 0.483655 2.66961i 0.0304674 0.168170i
\(253\) 2.33821 4.85535i 0.147002 0.305253i
\(254\) −1.81692 2.27834i −0.114003 0.142956i
\(255\) −16.2815 7.04389i −1.01959 0.441106i
\(256\) 0.623490 0.781831i 0.0389681 0.0488645i
\(257\) 11.1586 + 2.54688i 0.696056 + 0.158870i 0.555888 0.831257i \(-0.312378\pi\)
0.140169 + 0.990128i \(0.455236\pi\)
\(258\) −8.32390 6.63809i −0.518223 0.413269i
\(259\) 25.2171 6.96742i 1.56691 0.432935i
\(260\) −13.2310 2.46123i −0.820554 0.152639i
\(261\) 3.38464 1.62996i 0.209504 0.100892i
\(262\) 4.55931 + 1.04063i 0.281675 + 0.0642905i
\(263\) 2.11568i 0.130458i −0.997870 0.0652291i \(-0.979222\pi\)
0.997870 0.0652291i \(-0.0207778\pi\)
\(264\) 1.96204 0.120755
\(265\) 9.48175 + 17.8073i 0.582459 + 1.09389i
\(266\) 1.34865 + 0.244336i 0.0826910 + 0.0149812i
\(267\) 8.80190 2.00898i 0.538668 0.122947i
\(268\) 12.4291 2.83686i 0.759229 0.173289i
\(269\) 8.10464 + 10.1629i 0.494149 + 0.619643i 0.964898 0.262624i \(-0.0845879\pi\)
−0.470750 + 0.882267i \(0.656016\pi\)
\(270\) −2.31315 + 12.4350i −0.140774 + 0.756771i
\(271\) 3.87424 + 16.9741i 0.235343 + 1.03111i 0.945131 + 0.326690i \(0.105933\pi\)
−0.709788 + 0.704415i \(0.751209\pi\)
\(272\) 5.50433 1.25633i 0.333749 0.0761760i
\(273\) −13.1469 + 18.1063i −0.795686 + 1.09584i
\(274\) 2.77047 12.1382i 0.167370 0.733297i
\(275\) −0.997945 + 6.90971i −0.0601783 + 0.416671i
\(276\) 5.42341 0.326451
\(277\) −15.1968 3.46857i −0.913087 0.208406i −0.259929 0.965628i \(-0.583699\pi\)
−0.653158 + 0.757222i \(0.726556\pi\)
\(278\) 0.123063 + 0.255544i 0.00738085 + 0.0153265i
\(279\) 5.78853 + 7.25859i 0.346550 + 0.434560i
\(280\) 5.63398 1.80506i 0.336695 0.107873i
\(281\) −8.89301 + 11.1515i −0.530513 + 0.665242i −0.972804 0.231630i \(-0.925594\pi\)
0.442291 + 0.896871i \(0.354166\pi\)
\(282\) 4.14621 + 0.946346i 0.246903 + 0.0563541i
\(283\) −3.85242 3.07221i −0.229003 0.182624i 0.502266 0.864713i \(-0.332500\pi\)
−0.731269 + 0.682090i \(0.761071\pi\)
\(284\) 0.533144 0.256748i 0.0316363 0.0152352i
\(285\) −1.60028 0.297683i −0.0947924 0.0176332i
\(286\) 7.57144 + 3.64621i 0.447709 + 0.215605i
\(287\) −3.18028 + 0.143760i −0.187726 + 0.00848587i
\(288\) −0.444923 0.923893i −0.0262174 0.0544409i
\(289\) 13.4028 + 6.45444i 0.788399 + 0.379673i
\(290\) 6.60602 + 4.84408i 0.387919 + 0.284454i
\(291\) 12.1205 + 5.83692i 0.710516 + 0.342166i
\(292\) −10.5778 8.43551i −0.619019 0.493651i
\(293\) 14.3612i 0.838990i 0.907758 + 0.419495i \(0.137793\pi\)
−0.907758 + 0.419495i \(0.862207\pi\)
\(294\) 1.31465 9.74807i 0.0766721 0.568519i
\(295\) −6.25804 7.22679i −0.364357 0.420760i
\(296\) 6.16524 7.73097i 0.358347 0.449353i
\(297\) 3.42685 7.11592i 0.198846 0.412908i
\(298\) 10.7964 2.46420i 0.625417 0.142747i
\(299\) 20.9288 + 10.0788i 1.21034 + 0.582869i
\(300\) −6.70091 + 2.11229i −0.386877 + 0.121953i
\(301\) 16.2210 + 11.7780i 0.934964 + 0.678873i
\(302\) 3.58574 7.44587i 0.206336 0.428462i
\(303\) −20.4710 + 16.3251i −1.17603 + 0.937852i
\(304\) 0.466738 0.224769i 0.0267692 0.0128914i
\(305\) 3.88855 0.157504i 0.222658 0.00901866i
\(306\) 1.28829 5.64438i 0.0736467 0.322667i
\(307\) −17.4995 13.9554i −0.998751 0.796478i −0.0196409 0.999807i \(-0.506252\pi\)
−0.979110 + 0.203330i \(0.934824\pi\)
\(308\) −3.69044 + 0.166821i −0.210283 + 0.00950551i
\(309\) −11.3812 14.2715i −0.647452 0.811879i
\(310\) −8.03847 + 18.5804i −0.456555 + 1.05530i
\(311\) 3.36027 14.7223i 0.190543 0.834825i −0.785779 0.618507i \(-0.787738\pi\)
0.976323 0.216318i \(-0.0694049\pi\)
\(312\) 8.45728i 0.478799i
\(313\) 8.60369i 0.486309i −0.969988 0.243155i \(-0.921818\pi\)
0.969988 0.243155i \(-0.0781822\pi\)
\(314\) −5.10156 + 22.3514i −0.287898 + 1.26136i
\(315\) 0.839009 6.00831i 0.0472728 0.338530i
\(316\) −2.90732 12.7378i −0.163549 0.716556i
\(317\) 24.1038 5.50154i 1.35381 0.308997i 0.516760 0.856130i \(-0.327138\pi\)
0.837046 + 0.547133i \(0.184281\pi\)
\(318\) 9.91200 7.90455i 0.555837 0.443265i
\(319\) −3.18929 3.99924i −0.178566 0.223914i
\(320\) 1.32227 1.80322i 0.0739171 0.100803i
\(321\) −3.80836 16.6855i −0.212562 0.931294i
\(322\) −10.2010 + 0.461122i −0.568481 + 0.0256973i
\(323\) 2.85146 + 0.650827i 0.158659 + 0.0362130i
\(324\) 4.87213 0.270674
\(325\) −29.7840 4.30159i −1.65212 0.238609i
\(326\) −2.34808 + 10.2876i −0.130048 + 0.569779i
\(327\) −0.860560 1.78697i −0.0475891 0.0988197i
\(328\) −0.940747 + 0.750221i −0.0519441 + 0.0414240i
\(329\) −7.87917 1.42748i −0.434393 0.0786993i
\(330\) 4.38366 0.177558i 0.241312 0.00977427i
\(331\) 2.26241 9.91227i 0.124353 0.544828i −0.873919 0.486072i \(-0.838429\pi\)
0.998272 0.0587561i \(-0.0187134\pi\)
\(332\) 0.153853 + 0.122694i 0.00844380 + 0.00673370i
\(333\) −4.39953 9.13571i −0.241093 0.500634i
\(334\) 8.86017 + 11.1103i 0.484807 + 0.607929i
\(335\) 27.5129 7.46302i 1.50319 0.407748i
\(336\) −1.76270 3.27335i −0.0961631 0.178576i
\(337\) 0.670423 + 1.39215i 0.0365203 + 0.0758351i 0.918431 0.395582i \(-0.129457\pi\)
−0.881911 + 0.471417i \(0.843743\pi\)
\(338\) −10.0763 + 20.9237i −0.548080 + 1.13810i
\(339\) −4.13512 18.1172i −0.224589 0.983989i
\(340\) 12.1843 3.30505i 0.660785 0.179242i
\(341\) 7.88187 9.88356i 0.426827 0.535225i
\(342\) 0.531220i 0.0287251i
\(343\) −1.64394 + 18.4472i −0.0887643 + 0.996053i
\(344\) 7.57668 0.408507
\(345\) 12.1172 0.490802i 0.652367 0.0264239i
\(346\) 15.9865 + 7.69868i 0.859438 + 0.413884i
\(347\) 7.82332 1.78562i 0.419978 0.0958572i −0.00730900 0.999973i \(-0.502327\pi\)
0.427287 + 0.904116i \(0.359469\pi\)
\(348\) 2.23357 4.63805i 0.119732 0.248626i
\(349\) 8.45971 4.07398i 0.452838 0.218075i −0.193540 0.981092i \(-0.561997\pi\)
0.646378 + 0.763017i \(0.276283\pi\)
\(350\) 12.4243 4.54279i 0.664106 0.242822i
\(351\) 30.6728 + 14.7713i 1.63720 + 0.788432i
\(352\) −1.09166 + 0.870567i −0.0581855 + 0.0464014i
\(353\) −11.7604 24.4207i −0.625943 1.29978i −0.936979 0.349386i \(-0.886390\pi\)
0.311036 0.950398i \(-0.399324\pi\)
\(354\) −3.74565 + 4.69690i −0.199079 + 0.249637i
\(355\) 1.16793 0.621885i 0.0619875 0.0330062i
\(356\) −4.00589 + 5.02322i −0.212312 + 0.266230i
\(357\) 3.74189 20.6539i 0.198042 1.09312i
\(358\) −5.72410 + 4.56482i −0.302528 + 0.241258i
\(359\) −10.4373 + 5.02635i −0.550860 + 0.265280i −0.688542 0.725196i \(-0.741749\pi\)
0.137682 + 0.990476i \(0.456035\pi\)
\(360\) −1.07767 2.02393i −0.0567984 0.106670i
\(361\) −18.7316 −0.985876
\(362\) 1.36648i 0.0718205i
\(363\) 12.3987 + 2.82991i 0.650761 + 0.148532i
\(364\) −0.719074 15.9075i −0.0376897 0.833779i
\(365\) −24.3967 17.8897i −1.27698 0.936388i
\(366\) −0.544207 2.38433i −0.0284461 0.124631i
\(367\) 18.6335 14.8597i 0.972662 0.775672i −0.00185227 0.999998i \(-0.500590\pi\)
0.974514 + 0.224326i \(0.0720182\pi\)
\(368\) −3.01753 + 2.40640i −0.157299 + 0.125442i
\(369\) 0.274563 + 1.20294i 0.0142932 + 0.0626225i
\(370\) 13.0750 17.8307i 0.679736 0.926976i
\(371\) −17.9716 + 15.7106i −0.933040 + 0.815654i
\(372\) 12.4032 + 2.83095i 0.643077 + 0.146778i
\(373\) 6.51766i 0.337472i −0.985661 0.168736i \(-0.946031\pi\)
0.985661 0.168736i \(-0.0539685\pi\)
\(374\) −7.88324 −0.407632
\(375\) −14.7803 + 5.32576i −0.763249 + 0.275021i
\(376\) −2.72681 + 1.31316i −0.140624 + 0.0677211i
\(377\) 17.2385 13.7473i 0.887829 0.708020i
\(378\) −14.9505 + 0.675813i −0.768968 + 0.0347600i
\(379\) −19.6792 + 24.6770i −1.01085 + 1.26757i −0.0476310 + 0.998865i \(0.515167\pi\)
−0.963222 + 0.268705i \(0.913404\pi\)
\(380\) 1.02246 0.544425i 0.0524512 0.0279284i
\(381\) −2.55311 + 3.20150i −0.130800 + 0.164018i
\(382\) −4.93690 10.2516i −0.252594 0.524516i
\(383\) 6.27050 5.00056i 0.320408 0.255517i −0.450056 0.893000i \(-0.648596\pi\)
0.770464 + 0.637484i \(0.220025\pi\)
\(384\) −1.26603 0.609689i −0.0646069 0.0311130i
\(385\) −8.23023 + 0.706691i −0.419451 + 0.0360163i
\(386\) −1.37292 + 0.661163i −0.0698798 + 0.0336523i
\(387\) 3.37104 7.00004i 0.171360 0.355832i
\(388\) −9.33358 + 2.13033i −0.473840 + 0.108151i
\(389\) 23.0955 + 11.1222i 1.17099 + 0.563918i 0.915273 0.402835i \(-0.131975\pi\)
0.255714 + 0.966752i \(0.417689\pi\)
\(390\) 0.765357 + 18.8955i 0.0387553 + 0.956813i
\(391\) −21.7906 −1.10200
\(392\) 3.59381 + 6.00704i 0.181515 + 0.303401i
\(393\) 6.57145i 0.331486i
\(394\) 1.35404 1.69791i 0.0682153 0.0855393i
\(395\) −7.64836 28.1961i −0.384831 1.41870i
\(396\) 0.318607 + 1.39591i 0.0160106 + 0.0701471i
\(397\) −8.03554 + 16.6860i −0.403292 + 0.837445i 0.596111 + 0.802902i \(0.296712\pi\)
−0.999403 + 0.0345430i \(0.989002\pi\)
\(398\) −4.04282 8.39501i −0.202648 0.420804i
\(399\) −0.0869712 1.92399i −0.00435401 0.0963202i
\(400\) 2.79108 4.14848i 0.139554 0.207424i
\(401\) 20.0852 + 25.1861i 1.00301 + 1.25773i 0.966034 + 0.258416i \(0.0832006\pi\)
0.0369745 + 0.999316i \(0.488228\pi\)
\(402\) −7.77277 16.1403i −0.387671 0.805006i
\(403\) 42.6026 + 33.9744i 2.12219 + 1.69239i
\(404\) 4.14632 18.1662i 0.206287 0.903802i
\(405\) 10.8855 0.440913i 0.540905 0.0219091i
\(406\) −3.80682 + 8.91373i −0.188929 + 0.442381i
\(407\) −10.7946 + 8.60841i −0.535069 + 0.426703i
\(408\) −3.44223 7.14786i −0.170416 0.353872i
\(409\) −2.43654 + 10.6752i −0.120479 + 0.527853i 0.878284 + 0.478138i \(0.158688\pi\)
−0.998763 + 0.0497145i \(0.984169\pi\)
\(410\) −2.03396 + 1.76130i −0.100450 + 0.0869846i
\(411\) −17.4952 −0.862972
\(412\) 12.6647 + 2.89064i 0.623945 + 0.142411i
\(413\) 6.64593 9.15298i 0.327025 0.450388i
\(414\) 0.880685 + 3.85853i 0.0432833 + 0.189636i
\(415\) 0.354848 + 0.260204i 0.0174188 + 0.0127729i
\(416\) −3.75254 4.70553i −0.183983 0.230708i
\(417\) 0.311604 0.248496i 0.0152593 0.0121689i
\(418\) −0.705194 + 0.160956i −0.0344922 + 0.00787261i
\(419\) −6.41462 28.1043i −0.313375 1.37299i −0.848939 0.528491i \(-0.822758\pi\)
0.535564 0.844495i \(-0.320099\pi\)
\(420\) −4.23451 7.15391i −0.206623 0.349075i
\(421\) −5.16875 + 22.6458i −0.251910 + 1.10369i 0.677757 + 0.735286i \(0.262952\pi\)
−0.929667 + 0.368402i \(0.879905\pi\)
\(422\) 17.6259i 0.858014i
\(423\) 3.10353i 0.150899i
\(424\) −2.00763 + 8.79601i −0.0974992 + 0.427172i
\(425\) 26.9234 8.48691i 1.30598 0.411676i
\(426\) −0.518440 0.650103i −0.0251185 0.0314976i
\(427\) 1.22634 + 4.43846i 0.0593466 + 0.214792i
\(428\) 9.52237 + 7.59384i 0.460281 + 0.367062i
\(429\) 2.62769 11.5127i 0.126866 0.555837i
\(430\) 16.9281 0.685666i 0.816345 0.0330657i
\(431\) 19.3689 9.32757i 0.932967 0.449293i 0.0952843 0.995450i \(-0.469624\pi\)
0.837683 + 0.546157i \(0.183910\pi\)
\(432\) −4.42244 + 3.52678i −0.212775 + 0.169682i
\(433\) −14.3830 + 29.8666i −0.691204 + 1.43530i 0.199122 + 0.979975i \(0.436191\pi\)
−0.890325 + 0.455325i \(0.849523\pi\)
\(434\) −23.5702 4.27023i −1.13141 0.204978i
\(435\) 4.57059 10.5646i 0.219143 0.506535i
\(436\) 1.27169 + 0.612416i 0.0609031 + 0.0293294i
\(437\) −1.94928 + 0.444910i −0.0932465 + 0.0212829i
\(438\) −8.24879 + 17.1288i −0.394142 + 0.818445i
\(439\) 11.6957 14.6659i 0.558204 0.699965i −0.420021 0.907514i \(-0.637977\pi\)
0.978225 + 0.207549i \(0.0665487\pi\)
\(440\) −2.36024 + 2.04384i −0.112520 + 0.0974364i
\(441\) 7.14883 0.647627i 0.340420 0.0308394i
\(442\) 33.9803i 1.61628i
\(443\) −23.0813 18.4067i −1.09663 0.874530i −0.103860 0.994592i \(-0.533119\pi\)
−0.992766 + 0.120062i \(0.961691\pi\)
\(444\) −12.5189 6.02877i −0.594120 0.286113i
\(445\) −8.49551 + 11.5856i −0.402726 + 0.549209i
\(446\) −11.1129 5.35169i −0.526211 0.253410i
\(447\) −6.75171 14.0201i −0.319345 0.663126i
\(448\) 2.43315 + 1.03913i 0.114955 + 0.0490945i
\(449\) −16.3828 7.88955i −0.773153 0.372331i 0.00533879 0.999986i \(-0.498301\pi\)
−0.778492 + 0.627655i \(0.784015\pi\)
\(450\) −2.59093 4.42441i −0.122138 0.208569i
\(451\) 1.51371 0.728964i 0.0712778 0.0343256i
\(452\) 10.3394 + 8.24541i 0.486325 + 0.387831i
\(453\) −11.3217 2.58411i −0.531941 0.121412i
\(454\) −13.8939 + 17.4224i −0.652073 + 0.817674i
\(455\) −3.04616 35.4760i −0.142806 1.66314i
\(456\) −0.453866 0.569129i −0.0212542 0.0266519i
\(457\) −5.07906 10.5468i −0.237588 0.493357i 0.747748 0.663983i \(-0.231135\pi\)
−0.985336 + 0.170626i \(0.945421\pi\)
\(458\) −23.4527 5.35292i −1.09587 0.250126i
\(459\) −31.9360 −1.49064
\(460\) −6.52409 + 5.64953i −0.304187 + 0.263411i
\(461\) −3.94504 + 17.2844i −0.183739 + 0.805013i 0.796091 + 0.605178i \(0.206898\pi\)
−0.979829 + 0.199835i \(0.935959\pi\)
\(462\) 1.38248 + 5.00359i 0.0643188 + 0.232788i
\(463\) −19.1717 + 4.37580i −0.890982 + 0.203361i −0.643422 0.765512i \(-0.722486\pi\)
−0.247560 + 0.968873i \(0.579629\pi\)
\(464\) 0.815196 + 3.57161i 0.0378445 + 0.165808i
\(465\) 27.9679 + 5.20257i 1.29698 + 0.241263i
\(466\) −5.03350 6.31181i −0.233172 0.292389i
\(467\) 31.3720 7.16046i 1.45172 0.331346i 0.577309 0.816526i \(-0.304103\pi\)
0.874415 + 0.485180i \(0.161246\pi\)
\(468\) −6.01700 + 1.37334i −0.278136 + 0.0634827i
\(469\) 15.9923 + 29.6978i 0.738456 + 1.37132i
\(470\) −5.97349 + 3.18068i −0.275537 + 0.146714i
\(471\) 32.2157 1.48442
\(472\) 4.27527i 0.196785i
\(473\) −10.3139 2.35409i −0.474235 0.108241i
\(474\) −16.5412 + 7.96580i −0.759761 + 0.365881i
\(475\) 2.23515 1.30890i 0.102556 0.0600566i
\(476\) 7.08231 + 13.1519i 0.324617 + 0.602817i
\(477\) 7.23333 + 5.76839i 0.331191 + 0.264116i
\(478\) −0.494831 0.112942i −0.0226331 0.00516585i
\(479\) −0.763141 + 0.956949i −0.0348688 + 0.0437241i −0.798960 0.601384i \(-0.794616\pi\)
0.764091 + 0.645108i \(0.223188\pi\)
\(480\) −2.88379 1.24762i −0.131626 0.0569456i
\(481\) −37.1061 46.5296i −1.69189 2.12157i
\(482\) 6.54622 13.5934i 0.298172 0.619161i
\(483\) 3.82141 + 13.8308i 0.173880 + 0.629322i
\(484\) −8.15413 + 3.92682i −0.370642 + 0.178492i
\(485\) −20.6606 + 5.60431i −0.938151 + 0.254479i
\(486\) 2.25264 + 9.86945i 0.102182 + 0.447687i
\(487\) 0.233486 0.484838i 0.0105802 0.0219701i −0.895612 0.444837i \(-0.853262\pi\)
0.906192 + 0.422866i \(0.138976\pi\)
\(488\) 1.36073 + 1.08514i 0.0615973 + 0.0491222i
\(489\) 14.8278 0.670538
\(490\) 8.57305 + 13.0959i 0.387291 + 0.591613i
\(491\) −25.1121 −1.13329 −0.566646 0.823962i \(-0.691759\pi\)
−0.566646 + 0.823962i \(0.691759\pi\)
\(492\) 1.32193 + 1.05420i 0.0595971 + 0.0475271i
\(493\) −8.97421 + 18.6351i −0.404178 + 0.839284i
\(494\) −0.693793 3.03970i −0.0312152 0.136763i
\(495\) 0.838169 + 3.08996i 0.0376729 + 0.138883i
\(496\) −8.15712 + 3.92826i −0.366266 + 0.176384i
\(497\) 1.03042 + 1.17871i 0.0462207 + 0.0528726i
\(498\) 0.119978 0.249137i 0.00537634 0.0111641i
\(499\) −26.3952 33.0985i −1.18161 1.48169i −0.840618 0.541628i \(-0.817808\pi\)
−0.340993 0.940066i \(-0.610763\pi\)
\(500\) 5.86050 9.52127i 0.262090 0.425804i
\(501\) 12.4502 15.6121i 0.556235 0.697496i
\(502\) −14.7420 3.36477i −0.657968 0.150177i
\(503\) −34.4140 27.4442i −1.53444 1.22368i −0.887192 0.461401i \(-0.847347\pi\)
−0.647252 0.762277i \(-0.724082\pi\)
\(504\) 2.04261 1.78563i 0.0909852 0.0795383i
\(505\) 7.61986 40.9628i 0.339079 1.82282i
\(506\) 4.85535 2.33821i 0.215847 0.103946i
\(507\) 31.8153 + 7.26164i 1.41297 + 0.322501i
\(508\) 2.91411i 0.129293i
\(509\) 0.637639 0.0282628 0.0141314 0.999900i \(-0.495502\pi\)
0.0141314 + 0.999900i \(0.495502\pi\)
\(510\) −8.33761 15.6585i −0.369196 0.693370i
\(511\) 14.0590 32.9193i 0.621932 1.45626i
\(512\) 0.974928 0.222521i 0.0430861 0.00983413i
\(513\) −2.85683 + 0.652052i −0.126132 + 0.0287888i
\(514\) 7.13621 + 8.94853i 0.314765 + 0.394703i
\(515\) 28.5575 + 5.31225i 1.25840 + 0.234086i
\(516\) −2.36911 10.3797i −0.104294 0.456942i
\(517\) 4.11993 0.940347i 0.181194 0.0413564i
\(518\) 24.0596 + 10.2752i 1.05712 + 0.451468i
\(519\) 5.54816 24.3081i 0.243537 1.06701i
\(520\) −8.80989 10.1737i −0.386339 0.446145i
\(521\) 23.1503 1.01423 0.507116 0.861878i \(-0.330711\pi\)
0.507116 + 0.861878i \(0.330711\pi\)
\(522\) 3.66248 + 0.835937i 0.160302 + 0.0365880i
\(523\) −16.9735 35.2458i −0.742198 1.54119i −0.837927 0.545783i \(-0.816232\pi\)
0.0957285 0.995407i \(-0.469482\pi\)
\(524\) 2.91579 + 3.65628i 0.127377 + 0.159725i
\(525\) −10.1083 15.6003i −0.441163 0.680853i
\(526\) 1.31910 1.65410i 0.0575156 0.0721223i
\(527\) −49.8346 11.3744i −2.17083 0.495478i
\(528\) 1.53398 + 1.22331i 0.0667581 + 0.0532378i
\(529\) −7.30127 + 3.51610i −0.317446 + 0.152874i
\(530\) −3.68951 + 19.8340i −0.160262 + 0.861536i
\(531\) −3.94989 1.90217i −0.171411 0.0825470i
\(532\) 0.902076 + 1.03190i 0.0391099 + 0.0447385i
\(533\) 3.14216 + 6.52477i 0.136102 + 0.282619i
\(534\) 8.13418 + 3.91722i 0.352000 + 0.169515i
\(535\) 21.9624 + 16.1047i 0.949519 + 0.696266i
\(536\) 11.4862 + 5.53148i 0.496130 + 0.238923i
\(537\) 8.04345 + 6.41444i 0.347100 + 0.276803i
\(538\) 12.9988i 0.560420i
\(539\) −3.02577 9.29383i −0.130329 0.400313i
\(540\) −9.56161 + 8.27987i −0.411466 + 0.356309i
\(541\) 8.79668 11.0307i 0.378199 0.474246i −0.555906 0.831245i \(-0.687629\pi\)
0.934105 + 0.356999i \(0.116200\pi\)
\(542\) −7.55420 + 15.6865i −0.324481 + 0.673791i
\(543\) 1.87202 0.427276i 0.0803359 0.0183362i
\(544\) 5.08676 + 2.44966i 0.218093 + 0.105028i
\(545\) 2.89669 + 1.25320i 0.124080 + 0.0536811i
\(546\) −21.5677 + 5.95912i −0.923014 + 0.255027i
\(547\) −14.2976 + 29.6893i −0.611321 + 1.26942i 0.333782 + 0.942650i \(0.391675\pi\)
−0.945103 + 0.326772i \(0.894039\pi\)
\(548\) 9.73411 7.76269i 0.415820 0.331606i
\(549\) 1.60798 0.774361i 0.0686268 0.0330489i
\(550\) −5.08836 + 4.78002i −0.216968 + 0.203821i
\(551\) −0.422304 + 1.85023i −0.0179907 + 0.0788226i
\(552\) 4.24019 + 3.38144i 0.180475 + 0.143924i
\(553\) 30.4354 16.3895i 1.29424 0.696951i
\(554\) −9.71871 12.1869i −0.412909 0.517771i
\(555\) −28.5157 12.3368i −1.21042 0.523667i
\(556\) −0.0631141 + 0.276521i −0.00267663 + 0.0117271i
\(557\) 25.1384i 1.06515i −0.846383 0.532575i \(-0.821224\pi\)
0.846383 0.532575i \(-0.178776\pi\)
\(558\) 9.28408i 0.393026i
\(559\) 10.1472 44.4577i 0.429180 1.88036i
\(560\) 5.53026 + 2.10148i 0.233696 + 0.0888037i
\(561\) 2.46496 + 10.7997i 0.104071 + 0.455964i
\(562\) −13.9057 + 3.17388i −0.586575 + 0.133882i
\(563\) −21.7809 + 17.3697i −0.917954 + 0.732044i −0.963722 0.266908i \(-0.913998\pi\)
0.0457678 + 0.998952i \(0.485427\pi\)
\(564\) 2.65160 + 3.32501i 0.111653 + 0.140008i
\(565\) 23.8469 + 17.4865i 1.00325 + 0.735663i
\(566\) −1.09646 4.80389i −0.0460875 0.201923i
\(567\) 3.43298 + 12.4249i 0.144171 + 0.521797i
\(568\) 0.576909 + 0.131676i 0.0242065 + 0.00552499i
\(569\) −31.5570 −1.32294 −0.661468 0.749973i \(-0.730066\pi\)
−0.661468 + 0.749973i \(0.730066\pi\)
\(570\) −1.06555 1.23050i −0.0446309 0.0515398i
\(571\) 0.248688 1.08957i 0.0104073 0.0455971i −0.969458 0.245259i \(-0.921127\pi\)
0.979865 + 0.199662i \(0.0639843\pi\)
\(572\) 3.64621 + 7.57144i 0.152456 + 0.316578i
\(573\) −12.5005 + 9.96884i −0.522217 + 0.416454i
\(574\) −2.57608 1.87048i −0.107523 0.0780722i
\(575\) −14.0651 + 13.2128i −0.586555 + 0.551012i
\(576\) 0.228183 0.999734i 0.00950761 0.0416556i
\(577\) −7.94885 6.33900i −0.330915 0.263896i 0.443910 0.896071i \(-0.353591\pi\)
−0.774825 + 0.632175i \(0.782162\pi\)
\(578\) 6.45444 + 13.4028i 0.268469 + 0.557482i
\(579\) 1.33506 + 1.67411i 0.0554830 + 0.0695735i
\(580\) 2.14456 + 7.90604i 0.0890480 + 0.328280i
\(581\) −0.204487 + 0.478808i −0.00848354 + 0.0198643i
\(582\) 5.83692 + 12.1205i 0.241948 + 0.502410i
\(583\) 5.46587 11.3500i 0.226373 0.470069i
\(584\) −3.01060 13.1903i −0.124579 0.545818i
\(585\) −13.3191 + 3.61289i −0.550678 + 0.149374i
\(586\) −8.95406 + 11.2280i −0.369889 + 0.463826i
\(587\) 8.27050i 0.341360i 0.985327 + 0.170680i \(0.0545965\pi\)
−0.985327 + 0.170680i \(0.945404\pi\)
\(588\) 7.10566 6.80168i 0.293033 0.280497i
\(589\) −4.69019 −0.193256
\(590\) −0.386898 9.55196i −0.0159283 0.393248i
\(591\) −2.74945 1.32406i −0.113097 0.0544647i
\(592\) 9.64036 2.20035i 0.396216 0.0904338i
\(593\) −9.37937 + 19.4765i −0.385165 + 0.799803i 0.614774 + 0.788703i \(0.289247\pi\)
−0.999938 + 0.0110990i \(0.996467\pi\)
\(594\) 7.11592 3.42685i 0.291970 0.140605i
\(595\) 17.0138 + 28.7435i 0.697496 + 1.17837i
\(596\) 9.97735 + 4.80484i 0.408688 + 0.196814i
\(597\) −10.2367 + 8.16348i −0.418960 + 0.334109i
\(598\) 10.0788 + 20.9288i 0.412151 + 0.855840i
\(599\) 0.654712 0.820983i 0.0267508 0.0335444i −0.768276 0.640119i \(-0.778885\pi\)
0.795027 + 0.606574i \(0.207457\pi\)
\(600\) −6.55597 2.52650i −0.267646 0.103144i
\(601\) −7.25512 + 9.09764i −0.295943 + 0.371100i −0.907466 0.420126i \(-0.861986\pi\)
0.611523 + 0.791227i \(0.290557\pi\)
\(602\) 5.33864 + 19.3220i 0.217587 + 0.787508i
\(603\) 10.2210 8.15096i 0.416231 0.331933i
\(604\) 7.44587 3.58574i 0.302968 0.145902i
\(605\) −17.8629 + 9.51137i −0.726229 + 0.386692i
\(606\) −26.1834 −1.06363
\(607\) 25.4229i 1.03188i 0.856624 + 0.515942i \(0.172558\pi\)
−0.856624 + 0.515942i \(0.827442\pi\)
\(608\) 0.505051 + 0.115275i 0.0204825 + 0.00467501i
\(609\) 13.4018 + 2.42801i 0.543067 + 0.0983878i
\(610\) 3.13839 + 2.30133i 0.127070 + 0.0931780i
\(611\) 4.05332 + 17.7588i 0.163980 + 0.718443i
\(612\) 4.52644 3.60971i 0.182970 0.145914i
\(613\) −11.1656 + 8.90425i −0.450973 + 0.359639i −0.822483 0.568790i \(-0.807412\pi\)
0.371509 + 0.928429i \(0.378840\pi\)
\(614\) −4.98063 21.8216i −0.201002 0.880647i
\(615\) 3.04890 + 2.23571i 0.122943 + 0.0901523i
\(616\) −2.98932 2.17053i −0.120443 0.0874531i
\(617\) −20.2002 4.61056i −0.813228 0.185614i −0.204371 0.978894i \(-0.565515\pi\)
−0.608858 + 0.793280i \(0.708372\pi\)
\(618\) 18.2540i 0.734283i
\(619\) 6.34756 0.255130 0.127565 0.991830i \(-0.459284\pi\)
0.127565 + 0.991830i \(0.459284\pi\)
\(620\) −17.8694 + 9.51486i −0.717654 + 0.382126i
\(621\) 19.6696 9.47239i 0.789315 0.380114i
\(622\) 11.8064 9.41527i 0.473392 0.377518i
\(623\) −15.6328 6.67638i −0.626316 0.267483i
\(624\) −5.27302 + 6.61216i −0.211090 + 0.264698i
\(625\) 12.2321 21.8031i 0.489284 0.872125i
\(626\) 5.36431 6.72663i 0.214401 0.268850i
\(627\) 0.441006 + 0.915758i 0.0176121 + 0.0365718i
\(628\) −17.9244 + 14.2943i −0.715263 + 0.570403i
\(629\) 50.2993 + 24.2229i 2.00557 + 0.965830i
\(630\) 4.40208 4.17437i 0.175383 0.166311i
\(631\) −1.61635 + 0.778393i −0.0643459 + 0.0309873i −0.465780 0.884901i \(-0.654226\pi\)
0.401434 + 0.915888i \(0.368512\pi\)
\(632\) 5.66885 11.7715i 0.225495 0.468244i
\(633\) 24.1467 5.51133i 0.959745 0.219056i
\(634\) 22.2753 + 10.7272i 0.884665 + 0.426032i
\(635\) −0.263718 6.51080i −0.0104653 0.258373i
\(636\) 12.6779 0.502712
\(637\) 40.0606 13.0424i 1.58726 0.516759i
\(638\) 5.11522i 0.202513i
\(639\) 0.378334 0.474416i 0.0149667 0.0187676i
\(640\) 2.15808 0.585392i 0.0853057 0.0231397i
\(641\) −3.86435 16.9308i −0.152633 0.668727i −0.992114 0.125339i \(-0.959998\pi\)
0.839481 0.543389i \(-0.182859\pi\)
\(642\) 7.42575 15.4197i 0.293071 0.608568i
\(643\) 1.19681 + 2.48520i 0.0471976 + 0.0980069i 0.923234 0.384238i \(-0.125536\pi\)
−0.876036 + 0.482245i \(0.839822\pi\)
\(644\) −8.26298 5.99971i −0.325607 0.236422i
\(645\) −6.23248 22.9764i −0.245404 0.904694i
\(646\) 1.82358 + 2.28669i 0.0717477 + 0.0899687i
\(647\) −15.0288 31.2075i −0.590842 1.22690i −0.955290 0.295672i \(-0.904457\pi\)
0.364448 0.931224i \(-0.381258\pi\)
\(648\) 3.80919 + 3.03773i 0.149639 + 0.119333i
\(649\) −1.32833 + 5.81981i −0.0521416 + 0.228447i
\(650\) −20.6041 21.9331i −0.808158 0.860288i
\(651\) 1.51999 + 33.6254i 0.0595730 + 1.31788i
\(652\) −8.25004 + 6.57919i −0.323097 + 0.257661i
\(653\) 3.41398 + 7.08921i 0.133599 + 0.277422i 0.957027 0.290000i \(-0.0936552\pi\)
−0.823427 + 0.567422i \(0.807941\pi\)
\(654\) 0.441345 1.93366i 0.0172580 0.0756121i
\(655\) 6.84544 + 7.90513i 0.267474 + 0.308879i
\(656\) −1.20326 −0.0469794
\(657\) −13.5259 3.08720i −0.527696 0.120443i
\(658\) −5.27017 6.02863i −0.205453 0.235020i
\(659\) −1.06741 4.67664i −0.0415805 0.182176i 0.949873 0.312636i \(-0.101212\pi\)
−0.991454 + 0.130460i \(0.958355\pi\)
\(660\) 3.53799 + 2.59435i 0.137716 + 0.100985i
\(661\) −1.55595 1.95110i −0.0605196 0.0758891i 0.750650 0.660700i \(-0.229740\pi\)
−0.811170 + 0.584811i \(0.801169\pi\)
\(662\) 7.94902 6.33913i 0.308948 0.246377i
\(663\) −46.5516 + 10.6251i −1.80791 + 0.412645i
\(664\) 0.0437889 + 0.191852i 0.00169934 + 0.00744530i
\(665\) 2.10883 + 2.22387i 0.0817771 + 0.0862380i
\(666\) 2.25633 9.88565i 0.0874312 0.383061i
\(667\) 14.1393i 0.547477i
\(668\) 14.2106i 0.549825i
\(669\) −3.85676 + 16.8976i −0.149111 + 0.653298i
\(670\) 26.1635 + 11.3192i 1.01079 + 0.437297i
\(671\) −1.51517 1.89996i −0.0584924 0.0733471i
\(672\) 0.662764 3.65823i 0.0255667 0.141119i
\(673\) −4.24404 3.38451i −0.163596 0.130463i 0.538270 0.842772i \(-0.319078\pi\)
−0.701866 + 0.712309i \(0.747649\pi\)
\(674\) −0.343832 + 1.50643i −0.0132439 + 0.0580254i
\(675\) −20.6136 + 19.3645i −0.793417 + 0.745339i
\(676\) −20.9237 + 10.0763i −0.804759 + 0.387551i
\(677\) 19.7535 15.7529i 0.759189 0.605433i −0.165476 0.986214i \(-0.552916\pi\)
0.924665 + 0.380781i \(0.124345\pi\)
\(678\) 8.06289 16.7428i 0.309654 0.643002i
\(679\) −12.0093 22.3014i −0.460876 0.855850i
\(680\) 11.5867 + 5.01277i 0.444330 + 0.192231i
\(681\) 28.2124 + 13.5864i 1.08110 + 0.520630i
\(682\) 12.3246 2.81301i 0.471933 0.107716i
\(683\) −4.75947 + 9.88314i −0.182116 + 0.378168i −0.971962 0.235137i \(-0.924446\pi\)
0.789846 + 0.613305i \(0.210160\pi\)
\(684\) 0.331211 0.415325i 0.0126642 0.0158803i
\(685\) 21.0458 18.2246i 0.804118 0.696326i
\(686\) −12.7869 + 13.3976i −0.488206 + 0.511522i
\(687\) 33.8030i 1.28966i
\(688\) 5.92369 + 4.72398i 0.225838 + 0.180100i
\(689\) 48.9236 + 23.5604i 1.86384 + 0.897579i
\(690\) 9.77960 + 7.17122i 0.372303 + 0.273004i
\(691\) −7.76969 3.74169i −0.295573 0.142340i 0.280220 0.959936i \(-0.409592\pi\)
−0.575793 + 0.817595i \(0.695307\pi\)
\(692\) 7.69868 + 15.9865i 0.292660 + 0.607715i
\(693\) −3.33535 + 1.79609i −0.126700 + 0.0682278i
\(694\) 7.22984 + 3.48171i 0.274441 + 0.132164i
\(695\) −0.115987 + 0.623524i −0.00439965 + 0.0236516i
\(696\) 4.63805 2.23357i 0.175805 0.0846632i
\(697\) −5.31134 4.23566i −0.201181 0.160437i
\(698\) 9.15416 + 2.08938i 0.346490 + 0.0790841i
\(699\) −7.07302 + 8.86928i −0.267526 + 0.335467i
\(700\) 12.5461 + 4.19473i 0.474197 + 0.158546i
\(701\) 13.7166 + 17.2000i 0.518067 + 0.649636i 0.970197 0.242316i \(-0.0779071\pi\)
−0.452130 + 0.891952i \(0.649336\pi\)
\(702\) 14.7713 + 30.6728i 0.557505 + 1.15767i
\(703\) 4.99409 + 1.13987i 0.188356 + 0.0429909i
\(704\) −1.39628 −0.0526243
\(705\) 6.22521 + 7.18889i 0.234455 + 0.270749i
\(706\) 6.03142 26.4254i 0.226996 0.994533i
\(707\) 49.2490 2.22623i 1.85220 0.0837258i
\(708\) −5.85694 + 1.33681i −0.220117 + 0.0502403i
\(709\) −4.45241 19.5073i −0.167214 0.732611i −0.987103 0.160089i \(-0.948822\pi\)
0.819889 0.572523i \(-0.194035\pi\)
\(710\) 1.30087 + 0.241986i 0.0488206 + 0.00908157i
\(711\) −8.35339 10.4748i −0.313276 0.392836i
\(712\) −6.26386 + 1.42968i −0.234748 + 0.0535797i
\(713\) 34.0673 7.77564i 1.27583 0.291200i
\(714\) 15.8030 13.8149i 0.591414 0.517008i
\(715\) 8.83169 + 16.5864i 0.330287 + 0.620297i
\(716\) −7.32140 −0.273614
\(717\) 0.713214i 0.0266354i
\(718\) −11.2941 2.57780i −0.421492 0.0962028i
\(719\) 5.62659 2.70962i 0.209836 0.101052i −0.326014 0.945365i \(-0.605706\pi\)
0.535850 + 0.844313i \(0.319991\pi\)
\(720\) 0.419341 2.25429i 0.0156279 0.0840124i
\(721\) 1.55203 + 34.3343i 0.0578007 + 1.27868i
\(722\) −14.6450 11.6790i −0.545030 0.434647i
\(723\) −20.6692 4.71762i −0.768697 0.175450i
\(724\) −0.851985 + 1.06836i −0.0316638 + 0.0397051i
\(725\) 5.50692 + 17.4699i 0.204522 + 0.648815i
\(726\) 7.92924 + 9.94296i 0.294282 + 0.369018i
\(727\) −9.65688 + 20.0527i −0.358154 + 0.743714i −0.999727 0.0233475i \(-0.992568\pi\)
0.641574 + 0.767061i \(0.278282\pi\)
\(728\) 9.35596 12.8853i 0.346755 0.477561i
\(729\) 25.9853 12.5139i 0.962418 0.463476i
\(730\) −7.92007 29.1978i −0.293135 1.08066i
\(731\) 9.51878 + 41.7045i 0.352065 + 1.54250i
\(732\) 1.06112 2.20345i 0.0392203 0.0814418i
\(733\) 23.3251 + 18.6011i 0.861531 + 0.687048i 0.951083 0.308934i \(-0.0999723\pi\)
−0.0895528 + 0.995982i \(0.528544\pi\)
\(734\) 23.8332 0.879698
\(735\) 15.2602 15.8396i 0.562881 0.584252i
\(736\) −3.85956 −0.142265
\(737\) −13.9173 11.0986i −0.512649 0.408824i
\(738\) −0.535359 + 1.11168i −0.0197068 + 0.0409216i
\(739\) 3.62312 + 15.8739i 0.133279 + 0.583932i 0.996822 + 0.0796576i \(0.0253827\pi\)
−0.863544 + 0.504274i \(0.831760\pi\)
\(740\) 21.3397 5.78852i 0.784464 0.212790i
\(741\) −3.94733 + 1.90093i −0.145009 + 0.0698325i
\(742\) −23.8462 + 1.07793i −0.875421 + 0.0395721i
\(743\) −17.5998 + 36.5463i −0.645673 + 1.34075i 0.279110 + 0.960259i \(0.409961\pi\)
−0.924783 + 0.380495i \(0.875754\pi\)
\(744\) 7.93216 + 9.94661i 0.290807 + 0.364660i
\(745\) 22.7266 + 9.83223i 0.832638 + 0.360225i
\(746\) 4.06370 5.09572i 0.148783 0.186567i
\(747\) 0.196733 + 0.0449031i 0.00719809 + 0.00164292i
\(748\) −6.16336 4.91512i −0.225355 0.179715i
\(749\) −12.6562 + 29.6347i −0.462448 + 1.08283i
\(750\) −14.8762 5.05149i −0.543203 0.184454i
\(751\) −19.3180 + 9.30307i −0.704925 + 0.339474i −0.751767 0.659428i \(-0.770798\pi\)
0.0468425 + 0.998902i \(0.485084\pi\)
\(752\) −2.95065 0.673466i −0.107599 0.0245588i
\(753\) 21.2480i 0.774322i
\(754\) 22.0489 0.802973
\(755\) 16.3113 8.68522i 0.593630 0.316087i
\(756\) −12.1101 8.79308i −0.440440 0.319801i
\(757\) −28.9904 + 6.61687i −1.05367 + 0.240494i −0.714070 0.700074i \(-0.753150\pi\)
−0.339604 + 0.940568i \(0.610293\pi\)
\(758\) −30.7717 + 7.02343i −1.11768 + 0.255103i
\(759\) −4.72144 5.92050i −0.171378 0.214901i
\(760\) 1.13884 + 0.211845i 0.0413099 + 0.00768444i
\(761\) −8.80536 38.5788i −0.319194 1.39848i −0.838970 0.544178i \(-0.816841\pi\)
0.519775 0.854303i \(-0.326016\pi\)
\(762\) −3.99221 + 0.911195i −0.144622 + 0.0330091i
\(763\) −0.665729 + 3.67459i −0.0241010 + 0.133029i
\(764\) 2.53193 11.0931i 0.0916020 0.401334i
\(765\) 9.78646 8.47458i 0.353830 0.306399i
\(766\) 8.02027 0.289784
\(767\) −25.0860 5.72572i −0.905803 0.206744i
\(768\) −0.609689 1.26603i −0.0220002 0.0456840i
\(769\) −3.43212 4.30375i −0.123766 0.155197i 0.716088 0.698010i \(-0.245931\pi\)
−0.839854 + 0.542813i \(0.817359\pi\)
\(770\) −6.87527 4.57895i −0.247767 0.165014i
\(771\) 10.0277 12.5744i 0.361140 0.452855i
\(772\) −1.48562 0.339083i −0.0534686 0.0122039i
\(773\) −12.7828 10.1940i −0.459767 0.366652i 0.366046 0.930597i \(-0.380711\pi\)
−0.825812 + 0.563945i \(0.809283\pi\)
\(774\) 7.00004 3.37104i 0.251611 0.121170i
\(775\) −39.0635 + 22.8756i −1.40320 + 0.821715i
\(776\) −8.62552 4.15383i −0.309638 0.149114i
\(777\) 6.55360 36.1736i 0.235109 1.29772i
\(778\) 11.1222 + 23.0955i 0.398750 + 0.828013i
\(779\) −0.561607 0.270456i −0.0201217 0.00969008i
\(780\) −11.1828 + 15.2503i −0.400409 + 0.546049i
\(781\) −0.744419 0.358493i −0.0266374 0.0128279i
\(782\) −17.0366 13.5862i −0.609227 0.485842i
\(783\) 20.7224i 0.740557i
\(784\) −0.935570 + 6.93720i −0.0334132 + 0.247757i
\(785\) −38.7538 + 33.5589i −1.38318 + 1.19777i
\(786\) 4.09723 5.13777i 0.146143 0.183258i
\(787\) −1.37160 + 2.84815i −0.0488922 + 0.101526i −0.923984 0.382432i \(-0.875087\pi\)
0.875092 + 0.483957i \(0.160801\pi\)
\(788\) 2.11725 0.483250i 0.0754241 0.0172151i
\(789\) −2.67851 1.28990i −0.0953576 0.0459218i
\(790\) 11.6003 26.8133i 0.412719 0.953974i
\(791\) −13.7421 + 32.1774i −0.488614 + 1.14410i
\(792\) −0.621238 + 1.29001i −0.0220747 + 0.0458387i
\(793\) 8.18968 6.53105i 0.290824 0.231925i
\(794\) −16.6860 + 8.03554i −0.592163 + 0.285171i
\(795\) 28.3255 1.14731i 1.00460 0.0406909i
\(796\) 2.07340 9.08414i 0.0734896 0.321979i
\(797\) 5.75457 + 4.58912i 0.203837 + 0.162555i 0.720088 0.693883i \(-0.244101\pi\)
−0.516251 + 0.856437i \(0.672673\pi\)
\(798\) 1.13159 1.55846i 0.0400580 0.0551690i
\(799\) −10.6538 13.3595i −0.376905 0.472624i
\(800\) 4.76869 1.50320i 0.168599 0.0531463i
\(801\) −1.46606 + 6.42323i −0.0518007 + 0.226954i
\(802\) 32.2142i 1.13752i
\(803\) 18.8910i 0.666649i
\(804\) 3.98633 17.4653i 0.140587 0.615952i
\(805\) −19.0044 12.6570i −0.669817 0.446101i
\(806\) 12.1253 + 53.1246i 0.427097 + 1.87123i
\(807\) 17.8079 4.06453i 0.626866 0.143078i
\(808\) 14.5682 11.6177i 0.512506 0.408710i
\(809\) 6.29454 + 7.89310i 0.221304 + 0.277507i 0.880073 0.474839i \(-0.157494\pi\)
−0.658768 + 0.752346i \(0.728922\pi\)
\(810\) 8.78553 + 6.44228i 0.308692 + 0.226359i
\(811\) −2.54627 11.1559i −0.0894117 0.391738i 0.910344 0.413853i \(-0.135817\pi\)
−0.999755 + 0.0221148i \(0.992960\pi\)
\(812\) −8.53391 + 4.59552i −0.299482 + 0.161271i
\(813\) 23.8519 + 5.44404i 0.836522 + 0.190931i
\(814\) −13.8068 −0.483929
\(815\) −17.8371 + 15.4461i −0.624808 + 0.541052i
\(816\) 1.76538 7.73462i 0.0618005 0.270766i
\(817\) 1.70300 + 3.53632i 0.0595805 + 0.123720i
\(818\) −8.56082 + 6.82702i −0.299322 + 0.238701i
\(819\) −7.74196 14.3769i −0.270526 0.502369i
\(820\) −2.68837 + 0.108891i −0.0938819 + 0.00380265i
\(821\) 5.54680 24.3021i 0.193585 0.848150i −0.781071 0.624442i \(-0.785327\pi\)
0.974656 0.223708i \(-0.0718163\pi\)
\(822\) −13.6783 10.9080i −0.477084 0.380462i
\(823\) 0.749015 + 1.55535i 0.0261090 + 0.0542160i 0.913615 0.406579i \(-0.133279\pi\)
−0.887506 + 0.460795i \(0.847564\pi\)
\(824\) 8.09939 + 10.1563i 0.282155 + 0.353812i
\(825\) 8.13948 + 5.47620i 0.283380 + 0.190657i
\(826\) 10.9028 3.01241i 0.379356 0.104815i
\(827\) 21.3021 + 44.2342i 0.740746 + 1.53817i 0.839680 + 0.543081i \(0.182742\pi\)
−0.0989345 + 0.995094i \(0.531543\pi\)
\(828\) −1.71721 + 3.56582i −0.0596771 + 0.123921i
\(829\) 9.81341 + 42.9954i 0.340834 + 1.49329i 0.797318 + 0.603559i \(0.206251\pi\)
−0.456484 + 0.889731i \(0.650892\pi\)
\(830\) 0.115197 + 0.424680i 0.00399854 + 0.0147408i
\(831\) −13.6566 + 17.1249i −0.473743 + 0.594055i
\(832\) 6.01860i 0.208658i
\(833\) −28.5497 + 27.3283i −0.989188 + 0.946870i
\(834\) 0.398557 0.0138009
\(835\) 1.28602 + 31.7499i 0.0445044 + 1.09875i
\(836\) −0.651697 0.313841i −0.0225394 0.0108544i
\(837\) 49.9285 11.3958i 1.72578 0.393898i
\(838\) 12.5076 25.9723i 0.432068 0.897198i
\(839\) −2.09024 + 1.00661i −0.0721633 + 0.0347520i −0.469617 0.882870i \(-0.655608\pi\)
0.397454 + 0.917622i \(0.369894\pi\)
\(840\) 1.14971 8.23332i 0.0396689 0.284077i
\(841\) 14.0363 + 6.75951i 0.484009 + 0.233087i
\(842\) −18.1605 + 14.4825i −0.625852 + 0.499101i
\(843\) 8.69616 + 18.0578i 0.299512 + 0.621943i
\(844\) −10.9896 + 13.7805i −0.378276 + 0.474343i
\(845\) −45.8367 + 24.4064i −1.57683 + 0.839607i
\(846\) −1.93502 + 2.42644i −0.0665274 + 0.0834227i
\(847\) −15.7597 18.0278i −0.541509 0.619441i
\(848\) −7.05385 + 5.62526i −0.242230 + 0.193172i
\(849\) −6.23829 + 3.00420i −0.214098 + 0.103104i
\(850\) 26.3411 + 10.1512i 0.903492 + 0.348182i
\(851\) −38.1644 −1.30826
\(852\) 0.831514i 0.0284872i
\(853\) −4.70822 1.07462i −0.161206 0.0367943i 0.141156 0.989987i \(-0.454918\pi\)
−0.302362 + 0.953193i \(0.597775\pi\)
\(854\) −1.80855 + 4.23474i −0.0618872 + 0.144910i
\(855\) 0.702417 0.957907i 0.0240222 0.0327597i
\(856\) 2.71021 + 11.8742i 0.0926331 + 0.405852i
\(857\) −10.2272 + 8.15594i −0.349355 + 0.278602i −0.782407 0.622768i \(-0.786008\pi\)
0.433052 + 0.901369i \(0.357437\pi\)
\(858\) 9.23244 7.36263i 0.315190 0.251356i
\(859\) −4.56813 20.0143i −0.155863 0.682879i −0.991115 0.133011i \(-0.957535\pi\)
0.835252 0.549868i \(-0.185322\pi\)
\(860\) 13.6624 + 10.0184i 0.465885 + 0.341625i
\(861\) −1.75698 + 4.11398i −0.0598776 + 0.140204i
\(862\) 20.9589 + 4.78372i 0.713862 + 0.162934i
\(863\) 11.7764i 0.400875i 0.979707 + 0.200437i \(0.0642363\pi\)
−0.979707 + 0.200437i \(0.935764\pi\)
\(864\) −5.65651 −0.192438
\(865\) 18.6474 + 35.0209i 0.634031 + 1.19074i
\(866\) −29.8666 + 14.3830i −1.01491 + 0.488755i
\(867\) 16.3430 13.0331i 0.555039 0.442629i
\(868\) −15.7655 18.0344i −0.535115 0.612127i
\(869\) −11.3743 + 14.2629i −0.385846 + 0.483835i
\(870\) 10.1604 5.41005i 0.344469 0.183418i
\(871\) 47.8402 59.9897i 1.62100 2.03267i
\(872\) 0.612416 + 1.27169i 0.0207390 + 0.0430650i
\(873\) −7.67539 + 6.12092i −0.259773 + 0.207162i
\(874\) −1.80140 0.867510i −0.0609333 0.0293439i
\(875\) 28.4105 + 8.23663i 0.960451 + 0.278449i
\(876\) −17.1288 + 8.24879i −0.578728 + 0.278701i
\(877\) 11.9805 24.8778i 0.404553 0.840063i −0.594792 0.803880i \(-0.702766\pi\)
0.999345 0.0361834i \(-0.0115201\pi\)
\(878\) 18.2881 4.17414i 0.617193 0.140870i
\(879\) 18.1817 + 8.75586i 0.613254 + 0.295328i
\(880\) −3.11962 + 0.126359i −0.105162 + 0.00425956i
\(881\) −1.38520 −0.0466684 −0.0233342 0.999728i \(-0.507428\pi\)
−0.0233342 + 0.999728i \(0.507428\pi\)
\(882\) 5.99297 + 3.95089i 0.201794 + 0.133033i
\(883\) 3.75284i 0.126293i 0.998004 + 0.0631466i \(0.0201136\pi\)
−0.998004 + 0.0631466i \(0.979886\pi\)
\(884\) 21.1864 26.5669i 0.712575 0.893541i
\(885\) −12.9648 + 3.51678i −0.435807 + 0.118215i
\(886\) −6.56929 28.7819i −0.220700 0.966948i
\(887\) −13.2270 + 27.4662i −0.444120 + 0.922225i 0.551969 + 0.833865i \(0.313877\pi\)
−0.996089 + 0.0883597i \(0.971837\pi\)
\(888\) −6.02877 12.5189i −0.202312 0.420106i
\(889\) 7.43156 2.05332i 0.249246 0.0688662i
\(890\) −13.8656 + 3.76111i −0.464774 + 0.126073i
\(891\) −4.24152 5.31870i −0.142096 0.178183i
\(892\) −5.35169 11.1129i −0.179188 0.372087i
\(893\) −1.22580 0.977545i −0.0410199 0.0327123i
\(894\) 3.46267 15.1710i 0.115809 0.507393i
\(895\) −16.3577 + 0.662564i −0.546779 + 0.0221471i
\(896\) 1.25442 + 2.32947i 0.0419073 + 0.0778221i
\(897\) 25.5200 20.3516i 0.852090 0.679519i
\(898\) −7.88955 16.3828i −0.263278 0.546702i
\(899\) 7.38056 32.3363i 0.246155 1.07848i
\(900\) 0.732901 5.07457i 0.0244300 0.169152i
\(901\) −50.9383 −1.69700
\(902\) 1.63797 + 0.373855i 0.0545383 + 0.0124480i
\(903\) 24.8011 13.3554i 0.825329 0.444440i
\(904\) 2.94275 + 12.8930i 0.0978745 + 0.428816i
\(905\) −1.80685 + 2.46406i −0.0600618 + 0.0819081i
\(906\) −7.24052 9.07932i −0.240550 0.301640i
\(907\) −41.1740 + 32.8352i −1.36716 + 1.09027i −0.380982 + 0.924582i \(0.624414\pi\)
−0.986178 + 0.165691i \(0.947014\pi\)
\(908\) −21.7254 + 4.95867i −0.720982 + 0.164559i
\(909\) −4.25181 18.6284i −0.141024 0.617865i
\(910\) 19.7373 29.6355i 0.654286 0.982407i
\(911\) 10.6171 46.5166i 0.351760 1.54116i −0.421354 0.906896i \(-0.638445\pi\)
0.773114 0.634267i \(-0.218698\pi\)
\(912\) 0.727944i 0.0241046i
\(913\) 0.274768i 0.00909350i
\(914\) 2.60484 11.4125i 0.0861604 0.377493i
\(915\) 2.17140 5.01905i 0.0717842 0.165925i
\(916\) −14.9986 18.8076i −0.495566 0.621420i
\(917\) −7.26975 + 10.0121i −0.240068 + 0.330629i
\(918\) −24.9686 19.9118i −0.824085 0.657186i
\(919\) −3.51232 + 15.3885i −0.115861 + 0.507620i 0.883380 + 0.468658i \(0.155262\pi\)
−0.999241 + 0.0389619i \(0.987595\pi\)
\(920\) −8.62317 + 0.349278i −0.284297 + 0.0115154i
\(921\) −28.3373 + 13.6465i −0.933745 + 0.449668i
\(922\) −13.8610 + 11.0538i −0.456487 + 0.364036i
\(923\) 1.54527 3.20878i 0.0508631 0.105618i
\(924\) −2.03882 + 4.77393i −0.0670723 + 0.157051i
\(925\) 47.1541 14.8641i 1.55042 0.488729i
\(926\) −17.7173 8.53219i −0.582226 0.280385i
\(927\) 12.9869 2.96419i 0.426547 0.0973566i
\(928\) −1.58951 + 3.30066i −0.0521784 + 0.108349i
\(929\) 1.81052 2.27033i 0.0594014 0.0744870i −0.751243 0.660025i \(-0.770545\pi\)
0.810645 + 0.585538i \(0.199117\pi\)
\(930\) 18.6224 + 21.5052i 0.610654 + 0.705185i
\(931\) −1.99593 + 3.02756i −0.0654141 + 0.0992244i
\(932\) 8.07311i 0.264443i
\(933\) −16.5902 13.2302i −0.543138 0.433138i
\(934\) 28.9921 + 13.9619i 0.948650 + 0.456846i
\(935\) −14.2152 10.4238i −0.464887 0.340894i
\(936\) −5.56054 2.67782i −0.181752 0.0875272i
\(937\) −18.2495 37.8955i −0.596186 1.23799i −0.952760 0.303725i \(-0.901769\pi\)
0.356574 0.934267i \(-0.383945\pi\)
\(938\) −6.01301 + 33.1897i −0.196332 + 1.08368i
\(939\) −10.8925 5.24557i −0.355465 0.171183i
\(940\) −6.65338 1.23766i −0.217009 0.0403679i
\(941\) 18.7873 9.04747i 0.612448 0.294939i −0.101830 0.994802i \(-0.532470\pi\)
0.714278 + 0.699863i \(0.246755\pi\)
\(942\) 25.1872 + 20.0861i 0.820644 + 0.654442i
\(943\) 4.52762 + 1.03340i 0.147440 + 0.0336521i
\(944\) 2.66559 3.34254i 0.0867574 0.108790i
\(945\) −27.8526 18.5499i −0.906044 0.603428i
\(946\) −6.59601 8.27113i −0.214455 0.268918i
\(947\) 13.8501 + 28.7601i 0.450069 + 0.934578i 0.995350 + 0.0963247i \(0.0307087\pi\)
−0.545281 + 0.838253i \(0.683577\pi\)
\(948\) −17.8990 4.08533i −0.581332 0.132685i
\(949\) −81.4287 −2.64329
\(950\) 2.56360 + 0.370251i 0.0831742 + 0.0120125i
\(951\) 7.73071 33.8704i 0.250685 1.09832i
\(952\) −2.66291 + 14.6983i −0.0863053 + 0.476375i
\(953\) 39.3321 8.97729i 1.27409 0.290803i 0.468600 0.883411i \(-0.344759\pi\)
0.805491 + 0.592608i \(0.201901\pi\)
\(954\) 2.05871 + 9.01981i 0.0666533 + 0.292027i
\(955\) 4.65304 25.0137i 0.150569 0.809426i
\(956\) −0.316457 0.396824i −0.0102349 0.0128342i
\(957\) −7.00763 + 1.59945i −0.226525 + 0.0517028i
\(958\) −1.19330 + 0.272362i −0.0385536 + 0.00879961i
\(959\) 26.6552 + 19.3542i 0.860741 + 0.624980i
\(960\) −1.47676 2.77344i −0.0476622 0.0895123i
\(961\) 50.9699 1.64419
\(962\) 59.5136i 1.91880i
\(963\) 12.1763 + 2.77917i 0.392377 + 0.0895574i
\(964\) 13.5934 6.54622i 0.437813 0.210839i
\(965\) −3.34991 0.623148i −0.107837 0.0200598i
\(966\) −5.63565 + 13.1960i −0.181324 + 0.424573i
\(967\) −43.7649 34.9013i −1.40738 1.12235i −0.975393 0.220473i \(-0.929240\pi\)
−0.431991 0.901878i \(-0.642189\pi\)
\(968\) −8.82349 2.01390i −0.283598 0.0647293i
\(969\) 2.56247 3.21324i 0.0823184 0.103224i
\(970\) −19.6474 8.50006i −0.630839 0.272920i
\(971\) 13.1973 + 16.5488i 0.423520 + 0.531078i 0.947117 0.320889i \(-0.103982\pi\)
−0.523597 + 0.851966i \(0.675410\pi\)
\(972\) −4.39232 + 9.12074i −0.140884 + 0.292548i
\(973\) −0.749654 + 0.0338870i −0.0240328 + 0.00108637i
\(974\) 0.484838 0.233486i 0.0155352 0.00748136i
\(975\) −23.6049 + 35.0848i −0.755962 + 1.12361i
\(976\) 0.387284 + 1.69680i 0.0123966 + 0.0543133i
\(977\) −6.03452 + 12.5308i −0.193061 + 0.400896i −0.974919 0.222561i \(-0.928558\pi\)
0.781857 + 0.623457i \(0.214272\pi\)
\(978\) 11.5929 + 9.24500i 0.370699 + 0.295623i
\(979\) 8.97103 0.286715
\(980\) −1.46249 + 15.5840i −0.0467175 + 0.497813i
\(981\) 1.44739 0.0462115
\(982\) −19.6334 15.6571i −0.626527 0.499638i
\(983\) 16.4993 34.2611i 0.526246 1.09276i −0.453266 0.891375i \(-0.649741\pi\)
0.979512 0.201385i \(-0.0645444\pi\)
\(984\) 0.376240 + 1.64842i 0.0119941 + 0.0525496i
\(985\) 4.68671 1.27130i 0.149331 0.0405069i
\(986\) −18.6351 + 8.97421i −0.593464 + 0.285797i
\(987\) −6.61107 + 9.10497i −0.210433 + 0.289814i
\(988\) 1.35280 2.80911i 0.0430382 0.0893697i
\(989\) −18.2325 22.8628i −0.579760 0.726996i
\(990\) −1.27125 + 2.93842i −0.0404030 + 0.0933890i
\(991\) 36.6415 45.9470i 1.16396 1.45956i 0.301470 0.953476i \(-0.402523\pi\)
0.862487 0.506080i \(-0.168906\pi\)
\(992\) −8.82673 2.01464i −0.280249 0.0639650i
\(993\) −11.1699 8.90768i −0.354465 0.282677i
\(994\) 0.0706988 + 1.56401i 0.00224243 + 0.0496075i
\(995\) 3.81037 20.4838i 0.120797 0.649379i
\(996\) 0.249137 0.119978i 0.00789421 0.00380165i
\(997\) −27.1138 6.18854i −0.858702 0.195993i −0.229571 0.973292i \(-0.573732\pi\)
−0.629132 + 0.777299i \(0.716589\pi\)
\(998\) 42.3346i 1.34008i
\(999\) −55.9332 −1.76965
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 490.2.p.a.239.24 yes 168
5.4 even 2 inner 490.2.p.a.239.5 168
49.8 even 7 inner 490.2.p.a.449.5 yes 168
245.204 even 14 inner 490.2.p.a.449.24 yes 168
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
490.2.p.a.239.5 168 5.4 even 2 inner
490.2.p.a.239.24 yes 168 1.1 even 1 trivial
490.2.p.a.449.5 yes 168 49.8 even 7 inner
490.2.p.a.449.24 yes 168 245.204 even 14 inner