Properties

Label 231.2.be.a.2.10
Level $231$
Weight $2$
Character 231.2
Analytic conductor $1.845$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [231,2,Mod(2,231)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(231, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([15, 10, 3]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("231.2");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 231 = 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 231.be (of order \(30\), degree \(8\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(1.84454428669\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 2.10
Character \(\chi\) \(=\) 231.2
Dual form 231.2.be.a.116.10

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.675892 - 0.750655i) q^{2} +(1.68081 - 0.418192i) q^{3} +(0.102405 - 0.974320i) q^{4} +(-0.347823 + 1.63638i) q^{5} +(-1.44996 - 0.979053i) q^{6} +(2.62714 - 0.313255i) q^{7} +(-2.43498 + 1.76911i) q^{8} +(2.65023 - 1.40580i) q^{9} +O(q^{10})\) \(q+(-0.675892 - 0.750655i) q^{2} +(1.68081 - 0.418192i) q^{3} +(0.102405 - 0.974320i) q^{4} +(-0.347823 + 1.63638i) q^{5} +(-1.44996 - 0.979053i) q^{6} +(2.62714 - 0.313255i) q^{7} +(-2.43498 + 1.76911i) q^{8} +(2.65023 - 1.40580i) q^{9} +(1.46344 - 0.844920i) q^{10} +(2.38536 - 2.30435i) q^{11} +(-0.235330 - 1.68047i) q^{12} +(-0.659160 - 0.214174i) q^{13} +(-2.01081 - 1.76035i) q^{14} +(0.0996973 + 2.89589i) q^{15} +(1.05722 + 0.224719i) q^{16} +(0.149036 - 0.165521i) q^{17} +(-2.84654 - 1.03924i) q^{18} +(-8.11522 + 0.852944i) q^{19} +(1.55874 + 0.506464i) q^{20} +(4.28472 - 1.62517i) q^{21} +(-3.34202 - 0.233087i) q^{22} +(-0.226106 - 0.130542i) q^{23} +(-3.35290 + 3.99183i) q^{24} +(2.01098 + 0.895346i) q^{25} +(0.284750 + 0.639560i) q^{26} +(3.86663 - 3.47119i) q^{27} +(-0.0361778 - 2.59176i) q^{28} +(-0.136493 - 0.0991679i) q^{29} +(2.10643 - 2.03215i) q^{30} +(-5.27302 + 1.12081i) q^{31} +(2.46392 + 4.26763i) q^{32} +(3.04567 - 4.87072i) q^{33} -0.224982 q^{34} +(-0.401176 + 4.40795i) q^{35} +(-1.09830 - 2.72613i) q^{36} +(5.11969 - 2.27943i) q^{37} +(6.12528 + 5.51523i) q^{38} +(-1.19749 - 0.0843297i) q^{39} +(-2.04800 - 4.59988i) q^{40} +(-3.49306 + 2.53786i) q^{41} +(-4.11595 - 2.11790i) q^{42} +4.60809i q^{43} +(-2.00091 - 2.56008i) q^{44} +(1.37861 + 4.82574i) q^{45} +(0.0548310 + 0.257960i) q^{46} +(-7.04899 + 0.740878i) q^{47} +(1.87096 - 0.0644118i) q^{48} +(6.80374 - 1.64593i) q^{49} +(-0.687111 - 2.11471i) q^{50} +(0.181281 - 0.340535i) q^{51} +(-0.276175 + 0.620300i) q^{52} +(2.35481 + 11.0785i) q^{53} +(-5.21909 - 0.556354i) q^{54} +(2.94111 + 4.70486i) q^{55} +(-5.84285 + 5.41048i) q^{56} +(-13.2834 + 4.82736i) q^{57} +(0.0178137 + 0.169486i) q^{58} +(11.3204 + 1.18982i) q^{59} +(2.83174 + 0.199417i) q^{60} +(-2.46072 + 11.5768i) q^{61} +(4.40534 + 3.20067i) q^{62} +(6.52215 - 4.52344i) q^{63} +(2.20617 - 6.78989i) q^{64} +(0.579740 - 1.00414i) q^{65} +(-5.71477 + 1.00583i) q^{66} +(-1.21210 - 2.09942i) q^{67} +(-0.146009 - 0.162159i) q^{68} +(-0.434632 - 0.124861i) q^{69} +(3.58000 - 2.67816i) q^{70} +(-9.62898 + 3.12864i) q^{71} +(-3.96623 + 8.11166i) q^{72} +(-11.4912 - 1.20778i) q^{73} +(-5.17142 - 2.30247i) q^{74} +(3.75450 + 0.663928i) q^{75} +7.99417i q^{76} +(5.54483 - 6.80109i) q^{77} +(0.746070 + 0.955897i) q^{78} +(-3.99284 + 3.59517i) q^{79} +(-0.735450 + 1.65185i) q^{80} +(5.04744 - 7.45140i) q^{81} +(4.26599 + 0.906763i) q^{82} +(-1.31998 - 4.06249i) q^{83} +(-1.14466 - 4.34111i) q^{84} +(0.219017 + 0.301451i) q^{85} +(3.45908 - 3.11457i) q^{86} +(-0.270890 - 0.109602i) q^{87} +(-1.73163 + 9.83103i) q^{88} +(0.945459 + 0.545861i) q^{89} +(2.69067 - 4.29655i) q^{90} +(-1.79880 - 0.356180i) q^{91} +(-0.150344 + 0.206931i) q^{92} +(-8.39422 + 4.08901i) q^{93} +(5.32050 + 4.79060i) q^{94} +(1.42692 - 13.5762i) q^{95} +(5.92606 + 6.14267i) q^{96} +(1.06820 - 3.28757i) q^{97} +(-5.83412 - 3.99479i) q^{98} +(3.08229 - 9.46042i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{3} + 18 q^{4} - 20 q^{6} - 20 q^{7} - 9 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{3} + 18 q^{4} - 20 q^{6} - 20 q^{7} - 9 q^{9} - 16 q^{12} - 40 q^{13} + 12 q^{15} + 34 q^{16} - 5 q^{18} - 10 q^{19} - 76 q^{22} - 25 q^{24} - 18 q^{25} + 6 q^{27} + 10 q^{28} - 35 q^{30} - 8 q^{33} - 96 q^{34} - 48 q^{36} - 10 q^{37} - 45 q^{39} - 120 q^{40} + 34 q^{42} - 24 q^{45} - 50 q^{46} + 14 q^{48} - 56 q^{49} - 45 q^{51} - 10 q^{52} + 48 q^{55} + 60 q^{57} + 44 q^{58} - 47 q^{60} - 50 q^{61} + 60 q^{63} - 72 q^{64} + 77 q^{66} - 80 q^{67} + 78 q^{69} + 36 q^{70} + 55 q^{72} - 70 q^{73} - 11 q^{75} + 36 q^{78} - 90 q^{79} + 23 q^{81} - 6 q^{82} + 125 q^{84} + 160 q^{85} + 86 q^{88} + 30 q^{90} - 128 q^{91} - 38 q^{93} - 210 q^{94} + 135 q^{96} + 40 q^{97} + 80 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/231\mathbb{Z}\right)^\times\).

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{10}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.675892 0.750655i −0.477928 0.530793i 0.455175 0.890402i \(-0.349577\pi\)
−0.933103 + 0.359609i \(0.882910\pi\)
\(3\) 1.68081 0.418192i 0.970415 0.241444i
\(4\) 0.102405 0.974320i 0.0512026 0.487160i
\(5\) −0.347823 + 1.63638i −0.155551 + 0.731810i 0.829355 + 0.558722i \(0.188708\pi\)
−0.984906 + 0.173088i \(0.944625\pi\)
\(6\) −1.44996 0.979053i −0.591945 0.399697i
\(7\) 2.62714 0.313255i 0.992966 0.118399i
\(8\) −2.43498 + 1.76911i −0.860895 + 0.625477i
\(9\) 2.65023 1.40580i 0.883410 0.468601i
\(10\) 1.46344 0.844920i 0.462782 0.267187i
\(11\) 2.38536 2.30435i 0.719214 0.694789i
\(12\) −0.235330 1.68047i −0.0679339 0.485110i
\(13\) −0.659160 0.214174i −0.182818 0.0594012i 0.216177 0.976354i \(-0.430641\pi\)
−0.398995 + 0.916953i \(0.630641\pi\)
\(14\) −2.01081 1.76035i −0.537412 0.470473i
\(15\) 0.0996973 + 2.89589i 0.0257417 + 0.747716i
\(16\) 1.05722 + 0.224719i 0.264305 + 0.0561798i
\(17\) 0.149036 0.165521i 0.0361465 0.0401448i −0.724800 0.688959i \(-0.758068\pi\)
0.760947 + 0.648814i \(0.224735\pi\)
\(18\) −2.84654 1.03924i −0.670936 0.244950i
\(19\) −8.11522 + 0.852944i −1.86176 + 0.195679i −0.967672 0.252213i \(-0.918842\pi\)
−0.894088 + 0.447892i \(0.852175\pi\)
\(20\) 1.55874 + 0.506464i 0.348544 + 0.113249i
\(21\) 4.28472 1.62517i 0.935002 0.354642i
\(22\) −3.34202 0.233087i −0.712522 0.0496943i
\(23\) −0.226106 0.130542i −0.0471463 0.0272199i 0.476242 0.879314i \(-0.341999\pi\)
−0.523388 + 0.852095i \(0.675332\pi\)
\(24\) −3.35290 + 3.99183i −0.684408 + 0.814829i
\(25\) 2.01098 + 0.895346i 0.402196 + 0.179069i
\(26\) 0.284750 + 0.639560i 0.0558441 + 0.125428i
\(27\) 3.86663 3.47119i 0.744134 0.668031i
\(28\) −0.0361778 2.59176i −0.00683696 0.489796i
\(29\) −0.136493 0.0991679i −0.0253461 0.0184150i 0.575040 0.818125i \(-0.304986\pi\)
−0.600386 + 0.799710i \(0.704986\pi\)
\(30\) 2.10643 2.03215i 0.384580 0.371018i
\(31\) −5.27302 + 1.12081i −0.947062 + 0.201304i −0.655455 0.755234i \(-0.727523\pi\)
−0.291607 + 0.956538i \(0.594190\pi\)
\(32\) 2.46392 + 4.26763i 0.435563 + 0.754418i
\(33\) 3.04567 4.87072i 0.530183 0.847883i
\(34\) −0.224982 −0.0385840
\(35\) −0.401176 + 4.40795i −0.0678111 + 0.745079i
\(36\) −1.09830 2.72613i −0.183051 0.454356i
\(37\) 5.11969 2.27943i 0.841671 0.374736i 0.0598262 0.998209i \(-0.480945\pi\)
0.781845 + 0.623473i \(0.214279\pi\)
\(38\) 6.12528 + 5.51523i 0.993652 + 0.894688i
\(39\) −1.19749 0.0843297i −0.191751 0.0135036i
\(40\) −2.04800 4.59988i −0.323817 0.727305i
\(41\) −3.49306 + 2.53786i −0.545524 + 0.396347i −0.826133 0.563476i \(-0.809464\pi\)
0.280608 + 0.959822i \(0.409464\pi\)
\(42\) −4.11595 2.11790i −0.635105 0.326799i
\(43\) 4.60809i 0.702727i 0.936239 + 0.351363i \(0.114282\pi\)
−0.936239 + 0.351363i \(0.885718\pi\)
\(44\) −2.00091 2.56008i −0.301648 0.385947i
\(45\) 1.37861 + 4.82574i 0.205511 + 0.719379i
\(46\) 0.0548310 + 0.257960i 0.00808439 + 0.0380341i
\(47\) −7.04899 + 0.740878i −1.02820 + 0.108068i −0.603579 0.797303i \(-0.706259\pi\)
−0.424621 + 0.905371i \(0.639593\pi\)
\(48\) 1.87096 0.0644118i 0.270050 0.00929705i
\(49\) 6.80374 1.64593i 0.971963 0.235133i
\(50\) −0.687111 2.11471i −0.0971721 0.299065i
\(51\) 0.181281 0.340535i 0.0253844 0.0476844i
\(52\) −0.276175 + 0.620300i −0.0382986 + 0.0860201i
\(53\) 2.35481 + 11.0785i 0.323458 + 1.52175i 0.776417 + 0.630220i \(0.217035\pi\)
−0.452958 + 0.891532i \(0.649631\pi\)
\(54\) −5.21909 0.556354i −0.710228 0.0757102i
\(55\) 2.94111 + 4.70486i 0.396579 + 0.634403i
\(56\) −5.84285 + 5.41048i −0.780783 + 0.723006i
\(57\) −13.2834 + 4.82736i −1.75943 + 0.639399i
\(58\) 0.0178137 + 0.169486i 0.00233905 + 0.0222546i
\(59\) 11.3204 + 1.18982i 1.47379 + 0.154901i 0.807090 0.590429i \(-0.201041\pi\)
0.666696 + 0.745330i \(0.267708\pi\)
\(60\) 2.83174 + 0.199417i 0.365575 + 0.0257446i
\(61\) −2.46072 + 11.5768i −0.315063 + 1.48225i 0.480829 + 0.876814i \(0.340336\pi\)
−0.795892 + 0.605439i \(0.792998\pi\)
\(62\) 4.40534 + 3.20067i 0.559479 + 0.406485i
\(63\) 6.52215 4.52344i 0.821714 0.569900i
\(64\) 2.20617 6.78989i 0.275771 0.848736i
\(65\) 0.579740 1.00414i 0.0719079 0.124548i
\(66\) −5.71477 + 1.00583i −0.703440 + 0.123810i
\(67\) −1.21210 2.09942i −0.148082 0.256485i 0.782437 0.622730i \(-0.213977\pi\)
−0.930519 + 0.366245i \(0.880643\pi\)
\(68\) −0.146009 0.162159i −0.0177061 0.0196647i
\(69\) −0.434632 0.124861i −0.0523235 0.0150314i
\(70\) 3.58000 2.67816i 0.427892 0.320101i
\(71\) −9.62898 + 3.12864i −1.14275 + 0.371302i −0.818407 0.574638i \(-0.805143\pi\)
−0.324342 + 0.945940i \(0.605143\pi\)
\(72\) −3.96623 + 8.11166i −0.467424 + 0.955968i
\(73\) −11.4912 1.20778i −1.34494 0.141359i −0.595462 0.803383i \(-0.703031\pi\)
−0.749483 + 0.662024i \(0.769698\pi\)
\(74\) −5.17142 2.30247i −0.601166 0.267656i
\(75\) 3.75450 + 0.663928i 0.433532 + 0.0766638i
\(76\) 7.99417i 0.916994i
\(77\) 5.54483 6.80109i 0.631892 0.775056i
\(78\) 0.746070 + 0.955897i 0.0844757 + 0.108234i
\(79\) −3.99284 + 3.59517i −0.449229 + 0.404488i −0.862449 0.506143i \(-0.831071\pi\)
0.413220 + 0.910631i \(0.364404\pi\)
\(80\) −0.735450 + 1.65185i −0.0822258 + 0.184682i
\(81\) 5.04744 7.45140i 0.560827 0.827933i
\(82\) 4.26599 + 0.906763i 0.471099 + 0.100135i
\(83\) −1.31998 4.06249i −0.144887 0.445917i 0.852109 0.523364i \(-0.175323\pi\)
−0.996996 + 0.0774472i \(0.975323\pi\)
\(84\) −1.14466 4.34111i −0.124893 0.473654i
\(85\) 0.219017 + 0.301451i 0.0237557 + 0.0326969i
\(86\) 3.45908 3.11457i 0.373002 0.335853i
\(87\) −0.270890 0.109602i −0.0290424 0.0117506i
\(88\) −1.73163 + 9.83103i −0.184593 + 1.04799i
\(89\) 0.945459 + 0.545861i 0.100218 + 0.0578611i 0.549272 0.835644i \(-0.314905\pi\)
−0.449053 + 0.893505i \(0.648239\pi\)
\(90\) 2.69067 4.29655i 0.283622 0.452896i
\(91\) −1.79880 0.356180i −0.188565 0.0373378i
\(92\) −0.150344 + 0.206931i −0.0156745 + 0.0215741i
\(93\) −8.39422 + 4.08901i −0.870440 + 0.424011i
\(94\) 5.32050 + 4.79060i 0.548768 + 0.494113i
\(95\) 1.42692 13.5762i 0.146399 1.39289i
\(96\) 5.92606 + 6.14267i 0.604826 + 0.626934i
\(97\) 1.06820 3.28757i 0.108459 0.333802i −0.882068 0.471123i \(-0.843849\pi\)
0.990527 + 0.137320i \(0.0438489\pi\)
\(98\) −5.83412 3.99479i −0.589335 0.403535i
\(99\) 3.08229 9.46042i 0.309782 0.950808i
\(100\) 1.07829 1.86765i 0.107829 0.186765i
\(101\) 3.78962 0.805509i 0.377082 0.0801512i −0.0154720 0.999880i \(-0.504925\pi\)
0.392554 + 0.919729i \(0.371592\pi\)
\(102\) −0.378151 + 0.0940856i −0.0374425 + 0.00931586i
\(103\) 5.64692 2.51417i 0.556407 0.247728i −0.109214 0.994018i \(-0.534833\pi\)
0.665621 + 0.746290i \(0.268167\pi\)
\(104\) 1.98394 0.644620i 0.194541 0.0632102i
\(105\) 1.16907 + 7.57668i 0.114090 + 0.739409i
\(106\) 6.72454 9.25554i 0.653145 0.898977i
\(107\) −1.94023 18.4600i −0.187569 1.78460i −0.532961 0.846140i \(-0.678921\pi\)
0.345393 0.938458i \(-0.387746\pi\)
\(108\) −2.98609 4.12281i −0.287336 0.396717i
\(109\) 6.28539 3.62887i 0.602032 0.347583i −0.167809 0.985820i \(-0.553669\pi\)
0.769840 + 0.638236i \(0.220336\pi\)
\(110\) 1.54385 5.38773i 0.147200 0.513700i
\(111\) 7.65197 5.97230i 0.726293 0.566866i
\(112\) 2.84786 + 0.259189i 0.269098 + 0.0244911i
\(113\) −2.65450 3.65360i −0.249714 0.343702i 0.665697 0.746222i \(-0.268134\pi\)
−0.915411 + 0.402520i \(0.868134\pi\)
\(114\) 12.6019 + 6.70849i 1.18027 + 0.628308i
\(115\) 0.292261 0.324588i 0.0272535 0.0302680i
\(116\) −0.110599 + 0.122832i −0.0102688 + 0.0114047i
\(117\) −2.04801 + 0.359038i −0.189339 + 0.0331931i
\(118\) −6.75821 9.30187i −0.622143 0.856307i
\(119\) 0.339688 0.481534i 0.0311392 0.0441421i
\(120\) −5.36593 6.87505i −0.489840 0.627604i
\(121\) 0.379900 10.9934i 0.0345364 0.999403i
\(122\) 10.3533 5.97750i 0.937347 0.541177i
\(123\) −4.80985 + 5.72642i −0.433690 + 0.516334i
\(124\) 0.552048 + 5.25239i 0.0495754 + 0.471678i
\(125\) −7.08122 + 9.74646i −0.633363 + 0.871750i
\(126\) −7.80381 1.83853i −0.695219 0.163789i
\(127\) 9.87874 3.20980i 0.876596 0.284823i 0.164053 0.986452i \(-0.447543\pi\)
0.712543 + 0.701628i \(0.247543\pi\)
\(128\) 2.41561 1.07550i 0.213512 0.0950616i
\(129\) 1.92707 + 7.74531i 0.169669 + 0.681936i
\(130\) −1.14560 + 0.243505i −0.100476 + 0.0213568i
\(131\) −4.05987 + 7.03190i −0.354712 + 0.614380i −0.987069 0.160298i \(-0.948755\pi\)
0.632356 + 0.774678i \(0.282088\pi\)
\(132\) −4.43375 3.46625i −0.385908 0.301698i
\(133\) −21.0526 + 4.78294i −1.82550 + 0.414733i
\(134\) −0.756691 + 2.32885i −0.0653681 + 0.201182i
\(135\) 4.33527 + 7.53462i 0.373121 + 0.648477i
\(136\) −0.0700732 + 0.666702i −0.00600873 + 0.0571692i
\(137\) −16.6936 15.0310i −1.42623 1.28419i −0.901405 0.432976i \(-0.857463\pi\)
−0.524827 0.851209i \(-0.675870\pi\)
\(138\) 0.200037 + 0.410651i 0.0170283 + 0.0349569i
\(139\) 6.80052 9.36011i 0.576812 0.793914i −0.416529 0.909122i \(-0.636754\pi\)
0.993341 + 0.115208i \(0.0367536\pi\)
\(140\) 4.25367 + 0.842271i 0.359501 + 0.0711849i
\(141\) −11.5382 + 4.19311i −0.971688 + 0.353123i
\(142\) 8.85668 + 5.11341i 0.743236 + 0.429108i
\(143\) −2.06587 + 1.00806i −0.172756 + 0.0842978i
\(144\) 3.11779 0.890685i 0.259816 0.0742237i
\(145\) 0.209751 0.188861i 0.0174189 0.0156840i
\(146\) 6.86020 + 9.44226i 0.567754 + 0.781447i
\(147\) 10.7475 5.61177i 0.886436 0.462851i
\(148\) −1.69661 5.22164i −0.139461 0.429216i
\(149\) −11.4328 2.43012i −0.936614 0.199083i −0.285773 0.958297i \(-0.592250\pi\)
−0.650841 + 0.759214i \(0.725584\pi\)
\(150\) −2.03926 3.26707i −0.166505 0.266756i
\(151\) −2.71881 + 6.10655i −0.221254 + 0.496944i −0.989733 0.142931i \(-0.954347\pi\)
0.768479 + 0.639875i \(0.221014\pi\)
\(152\) 18.2514 16.4337i 1.48039 1.33295i
\(153\) 0.162290 0.648184i 0.0131203 0.0524026i
\(154\) −8.85298 + 0.434553i −0.713393 + 0.0350173i
\(155\) 9.01849i 0.724383i
\(156\) −0.204793 + 1.15810i −0.0163966 + 0.0927222i
\(157\) 8.73022 + 3.88694i 0.696747 + 0.310212i 0.724375 0.689406i \(-0.242129\pi\)
−0.0276276 + 0.999618i \(0.508795\pi\)
\(158\) 5.39746 + 0.567296i 0.429399 + 0.0451316i
\(159\) 8.59094 + 17.6361i 0.681306 + 1.39863i
\(160\) −7.84046 + 2.54752i −0.619842 + 0.201399i
\(161\) −0.634904 0.272124i −0.0500375 0.0214464i
\(162\) −9.00495 + 1.24746i −0.707496 + 0.0980097i
\(163\) −0.800926 0.889518i −0.0627333 0.0696724i 0.710961 0.703231i \(-0.248260\pi\)
−0.773695 + 0.633559i \(0.781593\pi\)
\(164\) 2.11498 + 3.66325i 0.165152 + 0.286052i
\(165\) 6.91097 + 6.67801i 0.538019 + 0.519882i
\(166\) −2.15736 + 3.73666i −0.167444 + 0.290021i
\(167\) 6.31398 19.4324i 0.488590 1.50373i −0.338122 0.941102i \(-0.609792\pi\)
0.826713 0.562624i \(-0.190208\pi\)
\(168\) −7.55808 + 11.5374i −0.583118 + 0.890131i
\(169\) −10.1286 7.35886i −0.779123 0.566066i
\(170\) 0.0782536 0.368154i 0.00600178 0.0282362i
\(171\) −20.3081 + 13.6689i −1.55300 + 1.04529i
\(172\) 4.48975 + 0.471892i 0.342340 + 0.0359814i
\(173\) 1.46536 + 13.9420i 0.111409 + 1.05999i 0.897239 + 0.441545i \(0.145569\pi\)
−0.785830 + 0.618442i \(0.787764\pi\)
\(174\) 0.100819 + 0.277424i 0.00764307 + 0.0210314i
\(175\) 5.56360 + 1.72225i 0.420569 + 0.130190i
\(176\) 3.03968 1.90017i 0.229125 0.143231i
\(177\) 19.5249 2.73423i 1.46758 0.205518i
\(178\) −0.229275 1.07866i −0.0171849 0.0808487i
\(179\) −5.14216 + 11.5495i −0.384343 + 0.863249i 0.612978 + 0.790100i \(0.289971\pi\)
−0.997321 + 0.0731487i \(0.976695\pi\)
\(180\) 4.84300 0.849028i 0.360976 0.0632828i
\(181\) 6.46032 + 19.8828i 0.480192 + 1.47788i 0.838825 + 0.544401i \(0.183243\pi\)
−0.358633 + 0.933479i \(0.616757\pi\)
\(182\) 0.948425 + 1.59101i 0.0703019 + 0.117934i
\(183\) 0.705322 + 20.4874i 0.0521389 + 1.51447i
\(184\) 0.781506 0.0821396i 0.0576134 0.00605541i
\(185\) 1.94927 + 9.17057i 0.143313 + 0.674234i
\(186\) 8.74302 + 3.53743i 0.641070 + 0.259377i
\(187\) −0.0259149 0.738260i −0.00189508 0.0539869i
\(188\) 6.94384i 0.506432i
\(189\) 9.07082 10.3305i 0.659805 0.751437i
\(190\) −11.1555 + 8.10495i −0.809305 + 0.587995i
\(191\) −0.618358 1.38885i −0.0447428 0.100494i 0.889791 0.456368i \(-0.150850\pi\)
−0.934534 + 0.355874i \(0.884183\pi\)
\(192\) 0.868665 12.3351i 0.0626905 0.890209i
\(193\) −1.72759 1.55553i −0.124355 0.111970i 0.604607 0.796524i \(-0.293330\pi\)
−0.728962 + 0.684554i \(0.759997\pi\)
\(194\) −3.18982 + 1.42020i −0.229016 + 0.101964i
\(195\) 0.554508 1.93021i 0.0397091 0.138225i
\(196\) −0.906925 6.79758i −0.0647803 0.485541i
\(197\) 22.1508 1.57818 0.789090 0.614278i \(-0.210553\pi\)
0.789090 + 0.614278i \(0.210553\pi\)
\(198\) −9.18480 + 4.08049i −0.652735 + 0.289988i
\(199\) −4.92178 8.52477i −0.348896 0.604305i 0.637158 0.770733i \(-0.280110\pi\)
−0.986054 + 0.166428i \(0.946777\pi\)
\(200\) −6.48066 + 1.37751i −0.458252 + 0.0974045i
\(201\) −2.91527 3.02183i −0.205628 0.213144i
\(202\) −3.16604 2.30026i −0.222762 0.161846i
\(203\) −0.389651 0.217771i −0.0273481 0.0152845i
\(204\) −0.313226 0.211498i −0.0219302 0.0148079i
\(205\) −2.93792 6.59868i −0.205193 0.460872i
\(206\) −5.70398 2.53958i −0.397415 0.176941i
\(207\) −0.782748 0.0281069i −0.0544048 0.00195357i
\(208\) −0.648748 0.374555i −0.0449826 0.0259707i
\(209\) −17.3923 + 20.7349i −1.20305 + 1.43426i
\(210\) 4.89731 5.99859i 0.337946 0.413942i
\(211\) 11.0997 + 3.60651i 0.764134 + 0.248282i 0.665052 0.746797i \(-0.268409\pi\)
0.0990822 + 0.995079i \(0.468409\pi\)
\(212\) 11.0352 1.15984i 0.757899 0.0796584i
\(213\) −14.8761 + 9.28541i −1.01929 + 0.636226i
\(214\) −12.5457 + 13.9334i −0.857608 + 0.952470i
\(215\) −7.54057 1.60280i −0.514262 0.109310i
\(216\) −3.27423 + 15.2928i −0.222783 + 1.04054i
\(217\) −13.5019 + 4.59634i −0.916566 + 0.312020i
\(218\) −6.97228 2.26543i −0.472222 0.153434i
\(219\) −19.8196 + 2.77550i −1.33928 + 0.187551i
\(220\) 4.88522 2.38378i 0.329362 0.160714i
\(221\) −0.133689 + 0.0771853i −0.00899288 + 0.00519204i
\(222\) −9.65504 1.70735i −0.648004 0.114590i
\(223\) 13.6979 9.95211i 0.917280 0.666443i −0.0255656 0.999673i \(-0.508139\pi\)
0.942845 + 0.333230i \(0.108139\pi\)
\(224\) 7.80992 + 10.4398i 0.521822 + 0.697541i
\(225\) 6.58824 0.454167i 0.439216 0.0302778i
\(226\) −0.948438 + 4.46205i −0.0630891 + 0.296811i
\(227\) 0.825122 7.85051i 0.0547653 0.521057i −0.932408 0.361406i \(-0.882297\pi\)
0.987174 0.159650i \(-0.0510367\pi\)
\(228\) 3.34310 + 13.4367i 0.221402 + 0.889865i
\(229\) −16.6350 18.4750i −1.09927 1.22087i −0.973471 0.228810i \(-0.926517\pi\)
−0.125801 0.992056i \(-0.540150\pi\)
\(230\) −0.441191 −0.0290912
\(231\) 6.47563 13.7501i 0.426065 0.904692i
\(232\) 0.507796 0.0333385
\(233\) −6.64246 7.37720i −0.435162 0.483296i 0.485178 0.874415i \(-0.338755\pi\)
−0.920340 + 0.391119i \(0.872088\pi\)
\(234\) 1.65375 + 1.29468i 0.108109 + 0.0846357i
\(235\) 1.23944 11.7925i 0.0808522 0.769257i
\(236\) 2.31853 10.9078i 0.150923 0.710038i
\(237\) −5.20772 + 7.71256i −0.338278 + 0.500985i
\(238\) −0.591058 + 0.0704766i −0.0383126 + 0.00456832i
\(239\) 21.2204 15.4175i 1.37263 0.997275i 0.375104 0.926983i \(-0.377607\pi\)
0.997526 0.0702919i \(-0.0223931\pi\)
\(240\) −0.545360 + 3.08400i −0.0352028 + 0.199071i
\(241\) 0.0765792 0.0442130i 0.00493290 0.00284801i −0.497532 0.867446i \(-0.665760\pi\)
0.502464 + 0.864598i \(0.332427\pi\)
\(242\) −8.50905 + 7.14521i −0.546982 + 0.459311i
\(243\) 5.36766 14.6352i 0.344335 0.938847i
\(244\) 11.0275 + 3.58305i 0.705963 + 0.229381i
\(245\) 0.326866 + 11.7060i 0.0208827 + 0.747867i
\(246\) 7.54951 0.259908i 0.481339 0.0165711i
\(247\) 5.53190 + 1.17584i 0.351987 + 0.0748171i
\(248\) 10.8568 12.0577i 0.689410 0.765667i
\(249\) −3.91754 6.27626i −0.248264 0.397742i
\(250\) 12.1024 1.27201i 0.765421 0.0804490i
\(251\) −26.3571 8.56394i −1.66365 0.540551i −0.682015 0.731338i \(-0.738896\pi\)
−0.981631 + 0.190787i \(0.938896\pi\)
\(252\) −3.73938 6.81789i −0.235559 0.429487i
\(253\) −0.840159 + 0.209637i −0.0528203 + 0.0131798i
\(254\) −9.08642 5.24604i −0.570132 0.329166i
\(255\) 0.494190 + 0.415090i 0.0309474 + 0.0259939i
\(256\) −15.4842 6.89401i −0.967762 0.430875i
\(257\) −1.35993 3.05444i −0.0848298 0.190531i 0.866150 0.499785i \(-0.166587\pi\)
−0.950980 + 0.309254i \(0.899921\pi\)
\(258\) 4.51156 6.68156i 0.280878 0.415976i
\(259\) 12.7361 7.59216i 0.791383 0.471754i
\(260\) −0.918984 0.667681i −0.0569930 0.0414078i
\(261\) −0.501148 0.0709357i −0.0310203 0.00439081i
\(262\) 8.02256 1.70525i 0.495636 0.105351i
\(263\) 3.99556 + 6.92052i 0.246377 + 0.426738i 0.962518 0.271218i \(-0.0874265\pi\)
−0.716141 + 0.697956i \(0.754093\pi\)
\(264\) 1.20072 + 17.2482i 0.0738991 + 1.06156i
\(265\) −18.9477 −1.16395
\(266\) 17.8197 + 12.5705i 1.09259 + 0.770748i
\(267\) 1.81741 + 0.522103i 0.111224 + 0.0319522i
\(268\) −2.16964 + 0.965984i −0.132532 + 0.0590069i
\(269\) 6.90956 + 6.22139i 0.421283 + 0.379325i 0.852330 0.523005i \(-0.175189\pi\)
−0.431047 + 0.902330i \(0.641856\pi\)
\(270\) 2.72572 8.34689i 0.165882 0.507975i
\(271\) −0.645282 1.44933i −0.0391981 0.0880403i 0.892885 0.450284i \(-0.148677\pi\)
−0.932083 + 0.362244i \(0.882011\pi\)
\(272\) 0.194760 0.141501i 0.0118090 0.00857976i
\(273\) −3.17238 + 0.153573i −0.192001 + 0.00929464i
\(274\) 22.6905i 1.37078i
\(275\) 6.86011 2.49829i 0.413680 0.150652i
\(276\) −0.166163 + 0.410684i −0.0100018 + 0.0247203i
\(277\) −1.16447 5.47839i −0.0699661 0.329165i 0.929219 0.369530i \(-0.120481\pi\)
−0.999185 + 0.0403652i \(0.987148\pi\)
\(278\) −11.6226 + 1.22159i −0.697079 + 0.0732659i
\(279\) −12.3991 + 10.3832i −0.742313 + 0.621628i
\(280\) −6.82131 11.4430i −0.407652 0.683849i
\(281\) 7.82986 + 24.0978i 0.467090 + 1.43756i 0.856334 + 0.516422i \(0.172736\pi\)
−0.389244 + 0.921135i \(0.627264\pi\)
\(282\) 10.9461 + 5.82708i 0.651833 + 0.346998i
\(283\) 8.46490 19.0125i 0.503186 1.13017i −0.466210 0.884674i \(-0.654381\pi\)
0.969396 0.245501i \(-0.0789523\pi\)
\(284\) 2.06224 + 9.70210i 0.122372 + 0.575713i
\(285\) −3.27910 23.4158i −0.194237 1.38703i
\(286\) 2.15300 + 0.869415i 0.127310 + 0.0514096i
\(287\) −8.38177 + 7.76153i −0.494760 + 0.458148i
\(288\) 12.5294 + 7.84642i 0.738302 + 0.462355i
\(289\) 1.77180 + 16.8575i 0.104223 + 0.991620i
\(290\) −0.283539 0.0298011i −0.0166500 0.00174998i
\(291\) 0.420596 5.97249i 0.0246558 0.350113i
\(292\) −2.35352 + 11.0724i −0.137729 + 0.647965i
\(293\) 9.97394 + 7.24649i 0.582684 + 0.423345i 0.839691 0.543065i \(-0.182736\pi\)
−0.257007 + 0.966410i \(0.582736\pi\)
\(294\) −11.4766 4.27469i −0.669331 0.249305i
\(295\) −5.88447 + 18.1105i −0.342607 + 1.05444i
\(296\) −8.43375 + 14.6077i −0.490202 + 0.849054i
\(297\) 1.22446 17.1901i 0.0710506 0.997473i
\(298\) 5.90318 + 10.2246i 0.341962 + 0.592295i
\(299\) 0.121081 + 0.134474i 0.00700229 + 0.00777683i
\(300\) 1.03136 3.59009i 0.0595455 0.207274i
\(301\) 1.44351 + 12.1061i 0.0832023 + 0.697784i
\(302\) 6.42154 2.08648i 0.369518 0.120064i
\(303\) 6.03277 2.93870i 0.346574 0.168824i
\(304\) −8.77125 0.921895i −0.503065 0.0528743i
\(305\) −18.0881 8.05332i −1.03572 0.461132i
\(306\) −0.596253 + 0.316280i −0.0340855 + 0.0180805i
\(307\) 0.617255i 0.0352286i 0.999845 + 0.0176143i \(0.00560710\pi\)
−0.999845 + 0.0176143i \(0.994393\pi\)
\(308\) −6.05862 6.09891i −0.345222 0.347518i
\(309\) 8.43997 6.58733i 0.480133 0.374740i
\(310\) −6.76977 + 6.09553i −0.384497 + 0.346203i
\(311\) 9.11505 20.4727i 0.516867 1.16090i −0.447003 0.894532i \(-0.647509\pi\)
0.963871 0.266371i \(-0.0858245\pi\)
\(312\) 3.06504 1.91315i 0.173524 0.108311i
\(313\) 14.7469 + 3.13456i 0.833547 + 0.177176i 0.604868 0.796326i \(-0.293226\pi\)
0.228679 + 0.973502i \(0.426559\pi\)
\(314\) −2.98294 9.18053i −0.168337 0.518087i
\(315\) 5.13350 + 12.2461i 0.289240 + 0.689987i
\(316\) 3.09396 + 4.25847i 0.174049 + 0.239558i
\(317\) −15.8791 + 14.2976i −0.891859 + 0.803033i −0.981205 0.192967i \(-0.938189\pi\)
0.0893464 + 0.996001i \(0.471522\pi\)
\(318\) 7.43207 18.3689i 0.416770 1.03008i
\(319\) −0.554103 + 0.0779767i −0.0310238 + 0.00436586i
\(320\) 10.3435 + 5.97180i 0.578217 + 0.333834i
\(321\) −10.9810 30.2164i −0.612899 1.68651i
\(322\) 0.224856 + 0.660520i 0.0125307 + 0.0368094i
\(323\) −1.06828 + 1.47036i −0.0594407 + 0.0818130i
\(324\) −6.74317 5.68089i −0.374620 0.315605i
\(325\) −1.13380 1.02088i −0.0628917 0.0566280i
\(326\) −0.126381 + 1.20244i −0.00699961 + 0.0665968i
\(327\) 9.04697 8.72794i 0.500299 0.482656i
\(328\) 4.01576 12.3592i 0.221733 0.682425i
\(329\) −18.2866 + 4.15452i −1.00817 + 0.229046i
\(330\) 0.341803 9.70137i 0.0188157 0.534043i
\(331\) −14.2285 + 24.6444i −0.782066 + 1.35458i 0.148670 + 0.988887i \(0.452501\pi\)
−0.930736 + 0.365692i \(0.880832\pi\)
\(332\) −4.09334 + 0.870067i −0.224651 + 0.0477511i
\(333\) 10.3639 13.2383i 0.567939 0.725454i
\(334\) −18.8546 + 8.39462i −1.03168 + 0.459333i
\(335\) 3.85704 1.25323i 0.210733 0.0684712i
\(336\) 4.89510 0.755306i 0.267049 0.0412053i
\(337\) 0.0525208 0.0722887i 0.00286099 0.00393781i −0.807584 0.589752i \(-0.799225\pi\)
0.810445 + 0.585815i \(0.199225\pi\)
\(338\) 1.32188 + 12.5769i 0.0719010 + 0.684092i
\(339\) −5.98960 5.03091i −0.325311 0.273241i
\(340\) 0.316138 0.182523i 0.0171450 0.00989867i
\(341\) −9.99530 + 14.8245i −0.541276 + 0.802789i
\(342\) 23.9867 + 6.00569i 1.29705 + 0.324751i
\(343\) 17.3588 6.45540i 0.937287 0.348559i
\(344\) −8.15224 11.2206i −0.439539 0.604974i
\(345\) 0.355494 0.667792i 0.0191391 0.0359527i
\(346\) 9.47517 10.5232i 0.509388 0.565733i
\(347\) 21.4467 23.8189i 1.15132 1.27867i 0.196824 0.980439i \(-0.436937\pi\)
0.954494 0.298229i \(-0.0963960\pi\)
\(348\) −0.134528 + 0.252709i −0.00721145 + 0.0135466i
\(349\) 2.90060 + 3.99234i 0.155266 + 0.213705i 0.879562 0.475783i \(-0.157835\pi\)
−0.724297 + 0.689488i \(0.757835\pi\)
\(350\) −2.46758 5.34040i −0.131898 0.285456i
\(351\) −3.29217 + 1.45994i −0.175723 + 0.0779256i
\(352\) 15.7115 + 4.50210i 0.837424 + 0.239963i
\(353\) −12.1762 + 7.02991i −0.648071 + 0.374164i −0.787717 0.616037i \(-0.788737\pi\)
0.139646 + 0.990202i \(0.455404\pi\)
\(354\) −15.2492 12.8084i −0.810487 0.680760i
\(355\) −1.77046 16.8448i −0.0939665 0.894031i
\(356\) 0.628663 0.865280i 0.0333191 0.0458598i
\(357\) 0.369577 0.951421i 0.0195601 0.0503545i
\(358\) 12.1452 3.94622i 0.641895 0.208564i
\(359\) −6.21656 + 2.76779i −0.328098 + 0.146078i −0.564174 0.825656i \(-0.690805\pi\)
0.236076 + 0.971735i \(0.424139\pi\)
\(360\) −11.8942 9.31166i −0.626879 0.490767i
\(361\) 46.5445 9.89334i 2.44971 0.520702i
\(362\) 10.5587 18.2881i 0.554951 0.961203i
\(363\) −3.95883 18.6367i −0.207785 0.978175i
\(364\) −0.531240 + 1.71613i −0.0278445 + 0.0899496i
\(365\) 5.97328 18.3839i 0.312656 0.962255i
\(366\) 14.9022 14.3767i 0.778951 0.751483i
\(367\) 0.381674 3.63138i 0.0199232 0.189557i −0.980034 0.198831i \(-0.936286\pi\)
0.999957 + 0.00927443i \(0.00295219\pi\)
\(368\) −0.209708 0.188822i −0.0109318 0.00984303i
\(369\) −5.68969 + 11.6365i −0.296193 + 0.605770i
\(370\) 5.56644 7.66155i 0.289385 0.398305i
\(371\) 9.65682 + 28.3672i 0.501357 + 1.47275i
\(372\) 3.12440 + 8.59739i 0.161992 + 0.445754i
\(373\) −19.7737 11.4164i −1.02384 0.591117i −0.108629 0.994082i \(-0.534646\pi\)
−0.915215 + 0.402965i \(0.867980\pi\)
\(374\) −0.536662 + 0.518437i −0.0277501 + 0.0268077i
\(375\) −7.82627 + 19.3432i −0.404147 + 0.998880i
\(376\) 15.8534 14.2745i 0.817578 0.736150i
\(377\) 0.0687314 + 0.0946007i 0.00353985 + 0.00487218i
\(378\) −13.8856 + 0.173285i −0.714197 + 0.00891282i
\(379\) 5.13507 + 15.8041i 0.263771 + 0.811803i 0.991974 + 0.126442i \(0.0403556\pi\)
−0.728203 + 0.685361i \(0.759644\pi\)
\(380\) −13.0815 2.78055i −0.671065 0.142639i
\(381\) 15.2620 9.52627i 0.781894 0.488045i
\(382\) −0.624606 + 1.40289i −0.0319576 + 0.0717781i
\(383\) 6.50683 5.85877i 0.332483 0.299369i −0.485932 0.873997i \(-0.661520\pi\)
0.818415 + 0.574627i \(0.194853\pi\)
\(384\) 3.61041 2.81790i 0.184243 0.143800i
\(385\) 9.20053 + 11.4390i 0.468902 + 0.582986i
\(386\) 2.34820i 0.119520i
\(387\) 6.47806 + 12.2125i 0.329298 + 0.620796i
\(388\) −3.09376 1.37743i −0.157062 0.0699284i
\(389\) 15.3822 + 1.61674i 0.779910 + 0.0819718i 0.486113 0.873896i \(-0.338414\pi\)
0.293797 + 0.955868i \(0.405081\pi\)
\(390\) −1.82371 + 0.888368i −0.0923470 + 0.0449843i
\(391\) −0.0553054 + 0.0179698i −0.00279691 + 0.000908772i
\(392\) −13.6551 + 16.0444i −0.689688 + 0.810365i
\(393\) −3.88317 + 13.5171i −0.195880 + 0.681846i
\(394\) −14.9716 16.6276i −0.754257 0.837687i
\(395\) −4.49425 7.78427i −0.226130 0.391669i
\(396\) −8.90183 3.97193i −0.447334 0.199597i
\(397\) −2.78743 + 4.82796i −0.139897 + 0.242308i −0.927457 0.373929i \(-0.878010\pi\)
0.787561 + 0.616237i \(0.211344\pi\)
\(398\) −3.07257 + 9.45638i −0.154014 + 0.474006i
\(399\) −33.3853 + 16.8433i −1.67135 + 0.843217i
\(400\) 1.92485 + 1.39848i 0.0962423 + 0.0699241i
\(401\) −2.34547 + 11.0346i −0.117127 + 0.551040i 0.879979 + 0.475014i \(0.157557\pi\)
−0.997106 + 0.0760269i \(0.975777\pi\)
\(402\) −0.297942 + 4.23080i −0.0148600 + 0.211013i
\(403\) 3.71581 + 0.390547i 0.185098 + 0.0194546i
\(404\) −0.396747 3.77479i −0.0197389 0.187803i
\(405\) 10.4377 + 10.8513i 0.518653 + 0.539204i
\(406\) 0.0998913 + 0.439683i 0.00495752 + 0.0218211i
\(407\) 6.95969 17.2348i 0.344979 0.854300i
\(408\) 0.161030 + 1.14990i 0.00797218 + 0.0569286i
\(409\) 4.22720 + 19.8874i 0.209022 + 0.983370i 0.950099 + 0.311950i \(0.100982\pi\)
−0.741077 + 0.671420i \(0.765685\pi\)
\(410\) −2.96761 + 6.66537i −0.146560 + 0.329179i
\(411\) −34.3446 18.2831i −1.69410 0.901838i
\(412\) −1.87133 5.75937i −0.0921939 0.283744i
\(413\) 30.1129 0.420340i 1.48176 0.0206836i
\(414\) 0.507955 + 0.606571i 0.0249646 + 0.0298113i
\(415\) 7.10689 0.746964i 0.348863 0.0366670i
\(416\) −0.710100 3.34076i −0.0348155 0.163794i
\(417\) 7.51604 18.5765i 0.368062 0.909694i
\(418\) 27.3201 0.959007i 1.33627 0.0469066i
\(419\) 11.3202i 0.553027i 0.961010 + 0.276514i \(0.0891791\pi\)
−0.961010 + 0.276514i \(0.910821\pi\)
\(420\) 7.50184 0.363158i 0.366052 0.0177203i
\(421\) 2.96907 2.15716i 0.144704 0.105133i −0.513078 0.858342i \(-0.671495\pi\)
0.657782 + 0.753208i \(0.271495\pi\)
\(422\) −4.79496 10.7696i −0.233415 0.524258i
\(423\) −17.6399 + 11.8730i −0.857682 + 0.577284i
\(424\) −25.3331 22.8100i −1.23028 1.10775i
\(425\) 0.447907 0.199421i 0.0217267 0.00967334i
\(426\) 17.0248 + 4.89086i 0.824853 + 0.236963i
\(427\) −2.83817 + 31.1846i −0.137349 + 1.50913i
\(428\) −18.1847 −0.878989
\(429\) −3.05076 + 2.55828i −0.147292 + 0.123515i
\(430\) 3.89346 + 6.74368i 0.187760 + 0.325209i
\(431\) −14.4492 + 3.07128i −0.695995 + 0.147938i −0.542306 0.840181i \(-0.682449\pi\)
−0.153689 + 0.988119i \(0.549115\pi\)
\(432\) 4.86792 2.80090i 0.234208 0.134759i
\(433\) −13.3238 9.68031i −0.640301 0.465206i 0.219653 0.975578i \(-0.429508\pi\)
−0.859954 + 0.510372i \(0.829508\pi\)
\(434\) 12.5761 + 7.02861i 0.603671 + 0.337384i
\(435\) 0.273571 0.405155i 0.0131167 0.0194257i
\(436\) −2.89203 6.49560i −0.138503 0.311083i
\(437\) 1.94624 + 0.866523i 0.0931014 + 0.0414514i
\(438\) 15.4794 + 13.0017i 0.739632 + 0.621247i
\(439\) −0.328427 0.189617i −0.0156750 0.00904995i 0.492142 0.870515i \(-0.336214\pi\)
−0.507817 + 0.861465i \(0.669547\pi\)
\(440\) −15.4850 6.25306i −0.738217 0.298103i
\(441\) 15.7176 13.9268i 0.748459 0.663181i
\(442\) 0.148299 + 0.0481852i 0.00705385 + 0.00229194i
\(443\) 40.0657 4.21108i 1.90358 0.200074i 0.921480 0.388427i \(-0.126981\pi\)
0.982101 + 0.188353i \(0.0603148\pi\)
\(444\) −5.03533 8.06706i −0.238966 0.382846i
\(445\) −1.22209 + 1.35726i −0.0579324 + 0.0643405i
\(446\) −16.7289 3.55584i −0.792137 0.168374i
\(447\) −20.2326 + 0.696553i −0.956971 + 0.0329458i
\(448\) 3.66895 18.5291i 0.173342 0.875417i
\(449\) 22.9740 + 7.46469i 1.08421 + 0.352280i 0.796006 0.605289i \(-0.206943\pi\)
0.288202 + 0.957570i \(0.406943\pi\)
\(450\) −4.79386 4.63852i −0.225985 0.218662i
\(451\) −2.48409 + 14.1030i −0.116971 + 0.664082i
\(452\) −3.83161 + 2.21218i −0.180224 + 0.104052i
\(453\) −2.01609 + 11.4009i −0.0947240 + 0.535662i
\(454\) −6.45072 + 4.68672i −0.302747 + 0.219959i
\(455\) 1.20851 2.81962i 0.0566557 0.132186i
\(456\) 23.8047 35.2544i 1.11476 1.65094i
\(457\) 6.94314 32.6649i 0.324786 1.52800i −0.448407 0.893830i \(-0.648008\pi\)
0.773193 0.634170i \(-0.218658\pi\)
\(458\) −2.62490 + 24.9743i −0.122654 + 1.16697i
\(459\) 0.00171175 1.15734i 7.98974e−5 0.0540201i
\(460\) −0.286324 0.317995i −0.0133499 0.0148266i
\(461\) 17.0848 0.795719 0.397859 0.917446i \(-0.369753\pi\)
0.397859 + 0.917446i \(0.369753\pi\)
\(462\) −14.6984 + 4.43265i −0.683833 + 0.206226i
\(463\) −24.1597 −1.12280 −0.561399 0.827545i \(-0.689737\pi\)
−0.561399 + 0.827545i \(0.689737\pi\)
\(464\) −0.122018 0.135515i −0.00566455 0.00629112i
\(465\) −3.77146 15.1583i −0.174897 0.702952i
\(466\) −1.04814 + 9.97238i −0.0485541 + 0.461962i
\(467\) −3.38342 + 15.9178i −0.156566 + 0.736586i 0.827881 + 0.560904i \(0.189546\pi\)
−0.984447 + 0.175682i \(0.943787\pi\)
\(468\) 0.140091 + 2.03219i 0.00647570 + 0.0939378i
\(469\) −3.84202 5.13578i −0.177408 0.237148i
\(470\) −9.68981 + 7.04006i −0.446958 + 0.324734i
\(471\) 16.2993 + 2.88229i 0.751032 + 0.132809i
\(472\) −29.6698 + 17.1298i −1.36566 + 0.788465i
\(473\) 10.6187 + 10.9920i 0.488247 + 0.505411i
\(474\) 9.30933 1.30366i 0.427592 0.0598791i
\(475\) −17.0832 5.55068i −0.783832 0.254683i
\(476\) −0.434382 0.380277i −0.0199099 0.0174300i
\(477\) 21.8150 + 26.0502i 0.998840 + 1.19276i
\(478\) −25.9159 5.50859i −1.18537 0.251957i
\(479\) −4.73023 + 5.25345i −0.216130 + 0.240036i −0.841454 0.540328i \(-0.818300\pi\)
0.625324 + 0.780365i \(0.284967\pi\)
\(480\) −12.1129 + 7.56071i −0.552878 + 0.345098i
\(481\) −3.86289 + 0.406006i −0.176132 + 0.0185123i
\(482\) −0.0849480 0.0276013i −0.00386928 0.00125720i
\(483\) −1.18095 0.191876i −0.0537352 0.00873065i
\(484\) −10.6722 1.49593i −0.485101 0.0679968i
\(485\) 5.00816 + 2.89146i 0.227409 + 0.131295i
\(486\) −14.6139 + 5.86254i −0.662901 + 0.265930i
\(487\) 5.89314 + 2.62380i 0.267044 + 0.118896i 0.535891 0.844287i \(-0.319976\pi\)
−0.268847 + 0.963183i \(0.586643\pi\)
\(488\) −14.4888 32.5425i −0.655879 1.47313i
\(489\) −1.71819 1.16017i −0.0776993 0.0524646i
\(490\) 8.56622 8.15734i 0.386982 0.368511i
\(491\) −2.75484 2.00151i −0.124324 0.0903267i 0.523886 0.851789i \(-0.324482\pi\)
−0.648210 + 0.761462i \(0.724482\pi\)
\(492\) 5.08681 + 5.27275i 0.229331 + 0.237714i
\(493\) −0.0367567 + 0.00781288i −0.00165544 + 0.000351875i
\(494\) −2.85632 4.94729i −0.128512 0.222589i
\(495\) 14.4087 + 8.33433i 0.647624 + 0.374600i
\(496\) −5.82661 −0.261623
\(497\) −24.3166 + 11.2357i −1.09075 + 0.503991i
\(498\) −2.06347 + 7.18280i −0.0924662 + 0.321869i
\(499\) −24.1801 + 10.7657i −1.08245 + 0.481939i −0.868897 0.494992i \(-0.835171\pi\)
−0.213555 + 0.976931i \(0.568504\pi\)
\(500\) 8.77102 + 7.89746i 0.392252 + 0.353185i
\(501\) 2.48609 35.3026i 0.111070 1.57721i
\(502\) 11.3860 + 25.5734i 0.508182 + 1.14140i
\(503\) 5.22459 3.79589i 0.232953 0.169250i −0.465185 0.885213i \(-0.654012\pi\)
0.698138 + 0.715963i \(0.254012\pi\)
\(504\) −7.87882 + 22.5529i −0.350950 + 1.00459i
\(505\) 6.48142i 0.288420i
\(506\) 0.725222 + 0.488977i 0.0322401 + 0.0217377i
\(507\) −20.1016 8.13312i −0.892746 0.361205i
\(508\) −2.11574 9.95376i −0.0938706 0.441627i
\(509\) −3.03731 + 0.319234i −0.134626 + 0.0141498i −0.171602 0.985166i \(-0.554894\pi\)
0.0369755 + 0.999316i \(0.488228\pi\)
\(510\) −0.0224301 0.651522i −0.000993220 0.0288499i
\(511\) −30.5674 + 0.426684i −1.35222 + 0.0188754i
\(512\) 3.65642 + 11.2533i 0.161592 + 0.497330i
\(513\) −28.4178 + 31.4675i −1.25468 + 1.38932i
\(514\) −1.37367 + 3.08531i −0.0605899 + 0.136087i
\(515\) 2.15000 + 10.1150i 0.0947404 + 0.445719i
\(516\) 7.74375 1.08442i 0.340900 0.0477390i
\(517\) −15.1071 + 18.0106i −0.664411 + 0.792106i
\(518\) −14.3073 4.42893i −0.628628 0.194596i
\(519\) 8.29340 + 22.8209i 0.364040 + 1.00173i
\(520\) 0.364783 + 3.47068i 0.0159968 + 0.152199i
\(521\) −28.9611 3.04394i −1.26881 0.133357i −0.553905 0.832580i \(-0.686863\pi\)
−0.714904 + 0.699223i \(0.753530\pi\)
\(522\) 0.285474 + 0.424134i 0.0124948 + 0.0185638i
\(523\) −0.785838 + 3.69708i −0.0343623 + 0.161662i −0.991983 0.126370i \(-0.959667\pi\)
0.957621 + 0.288032i \(0.0930008\pi\)
\(524\) 6.43557 + 4.67572i 0.281139 + 0.204260i
\(525\) 10.0716 + 0.568117i 0.439560 + 0.0247947i
\(526\) 2.49435 7.67682i 0.108759 0.334725i
\(527\) −0.600351 + 1.03984i −0.0261517 + 0.0452961i
\(528\) 4.31449 4.46500i 0.187764 0.194314i
\(529\) −11.4659 19.8596i −0.498518 0.863459i
\(530\) 12.8066 + 14.2232i 0.556283 + 0.617815i
\(531\) 31.6742 12.7609i 1.37454 0.553776i
\(532\) 2.50421 + 21.0018i 0.108571 + 0.910544i
\(533\) 2.84603 0.924730i 0.123275 0.0400545i
\(534\) −0.836454 1.71713i −0.0361969 0.0743076i
\(535\) 30.8824 + 3.24587i 1.33516 + 0.140331i
\(536\) 6.66556 + 2.96770i 0.287908 + 0.128185i
\(537\) −3.81308 + 21.5629i −0.164546 + 0.930507i
\(538\) 9.39168i 0.404904i
\(539\) 12.4366 19.6044i 0.535681 0.844420i
\(540\) 7.78509 3.45236i 0.335017 0.148566i
\(541\) 5.67921 5.11359i 0.244168 0.219850i −0.537955 0.842973i \(-0.680803\pi\)
0.782124 + 0.623123i \(0.214136\pi\)
\(542\) −0.651803 + 1.46397i −0.0279973 + 0.0628830i
\(543\) 19.1734 + 30.7176i 0.822810 + 1.31822i
\(544\) 1.07360 + 0.228200i 0.0460300 + 0.00978398i
\(545\) 3.75200 + 11.5475i 0.160718 + 0.494639i
\(546\) 2.25947 + 2.27757i 0.0966964 + 0.0974708i
\(547\) −14.9884 20.6297i −0.640856 0.882062i 0.357805 0.933796i \(-0.383525\pi\)
−0.998661 + 0.0517338i \(0.983525\pi\)
\(548\) −16.3545 + 14.7257i −0.698631 + 0.629050i
\(549\) 9.75318 + 34.1404i 0.416255 + 1.45708i
\(550\) −6.51205 3.46100i −0.277675 0.147577i
\(551\) 1.19225 + 0.688348i 0.0507917 + 0.0293246i
\(552\) 1.27921 0.464881i 0.0544469 0.0197866i
\(553\) −9.36355 + 10.6958i −0.398179 + 0.454831i
\(554\) −3.32532 + 4.57692i −0.141279 + 0.194454i
\(555\) 7.11141 + 14.5988i 0.301862 + 0.619685i
\(556\) −8.42334 7.58441i −0.357229 0.321650i
\(557\) −0.767068 + 7.29817i −0.0325017 + 0.309233i 0.966179 + 0.257874i \(0.0830220\pi\)
−0.998680 + 0.0513592i \(0.983645\pi\)
\(558\) 16.1747 + 2.28947i 0.684728 + 0.0969209i
\(559\) 0.986932 3.03746i 0.0417428 0.128471i
\(560\) −1.41468 + 4.57002i −0.0597812 + 0.193119i
\(561\) −0.352293 1.23004i −0.0148738 0.0519321i
\(562\) 12.7970 22.1651i 0.539809 0.934977i
\(563\) −6.62635 + 1.40847i −0.279267 + 0.0593601i −0.345416 0.938450i \(-0.612262\pi\)
0.0661486 + 0.997810i \(0.478929\pi\)
\(564\) 2.90386 + 11.6713i 0.122275 + 0.491449i
\(565\) 6.90196 3.07295i 0.290368 0.129280i
\(566\) −19.9932 + 6.49617i −0.840375 + 0.273055i
\(567\) 10.9262 21.1570i 0.458855 0.888511i
\(568\) 17.9114 24.6529i 0.751546 1.03441i
\(569\) −0.197443 1.87854i −0.00827722 0.0787525i 0.989603 0.143823i \(-0.0459395\pi\)
−0.997881 + 0.0650702i \(0.979273\pi\)
\(570\) −15.3608 + 18.2880i −0.643394 + 0.766000i
\(571\) 26.2847 15.1755i 1.09998 0.635074i 0.163764 0.986499i \(-0.447636\pi\)
0.936216 + 0.351426i \(0.114303\pi\)
\(572\) 0.770613 + 2.11605i 0.0322210 + 0.0884763i
\(573\) −1.62015 2.07580i −0.0676827 0.0867180i
\(574\) 11.4914 + 1.04585i 0.479642 + 0.0436531i
\(575\) −0.337813 0.464960i −0.0140878 0.0193902i
\(576\) −3.69839 21.0962i −0.154099 0.879008i
\(577\) 7.45303 8.27743i 0.310274 0.344594i −0.567759 0.823195i \(-0.692189\pi\)
0.878032 + 0.478601i \(0.158856\pi\)
\(578\) 11.4566 12.7239i 0.476533 0.529244i
\(579\) −3.55426 1.89208i −0.147710 0.0786323i
\(580\) −0.162531 0.223705i −0.00674875 0.00928885i
\(581\) −4.74038 10.2593i −0.196664 0.425625i
\(582\) −4.76755 + 3.72104i −0.197621 + 0.154242i
\(583\) 31.1459 + 21.0000i 1.28993 + 0.869729i
\(584\) 30.1175 17.3884i 1.24627 0.719536i
\(585\) 0.124823 3.47620i 0.00516081 0.143723i
\(586\) −1.30170 12.3848i −0.0537727 0.511613i
\(587\) 11.8252 16.2761i 0.488080 0.671785i −0.491952 0.870622i \(-0.663717\pi\)
0.980032 + 0.198838i \(0.0637166\pi\)
\(588\) −4.36706 11.0462i −0.180095 0.455536i
\(589\) 41.8357 13.5933i 1.72381 0.560100i
\(590\) 17.5720 7.82357i 0.723429 0.322091i
\(591\) 37.2313 9.26330i 1.53149 0.381041i
\(592\) 5.92487 1.25937i 0.243511 0.0517598i
\(593\) 19.9645 34.5794i 0.819842 1.42001i −0.0859566 0.996299i \(-0.527395\pi\)
0.905798 0.423709i \(-0.139272\pi\)
\(594\) −13.7315 + 10.6995i −0.563409 + 0.439007i
\(595\) 0.669819 + 0.723346i 0.0274599 + 0.0296543i
\(596\) −3.53850 + 10.8904i −0.144943 + 0.446087i
\(597\) −11.8376 12.2703i −0.484479 0.502188i
\(598\) 0.0191058 0.181780i 0.000781296 0.00743354i
\(599\) −20.1127 18.1096i −0.821784 0.739938i 0.146655 0.989188i \(-0.453149\pi\)
−0.968439 + 0.249250i \(0.919816\pi\)
\(600\) −10.3167 + 5.02549i −0.421177 + 0.205165i
\(601\) −7.00340 + 9.63936i −0.285675 + 0.393198i −0.927603 0.373567i \(-0.878135\pi\)
0.641928 + 0.766765i \(0.278135\pi\)
\(602\) 8.11184 9.26599i 0.330614 0.377654i
\(603\) −6.16372 3.85998i −0.251006 0.157190i
\(604\) 5.67132 + 3.27434i 0.230763 + 0.133231i
\(605\) 17.8573 + 4.44542i 0.726001 + 0.180732i
\(606\) −6.28345 2.54228i −0.255248 0.103273i
\(607\) −18.4466 + 16.6094i −0.748725 + 0.674155i −0.952389 0.304886i \(-0.901382\pi\)
0.203664 + 0.979041i \(0.434715\pi\)
\(608\) −23.6353 32.5312i −0.958537 1.31931i
\(609\) −0.745998 0.203082i −0.0302294 0.00822930i
\(610\) 6.18032 + 19.0211i 0.250234 + 0.770140i
\(611\) 4.80508 + 1.02135i 0.194393 + 0.0413195i
\(612\) −0.614920 0.224499i −0.0248567 0.00907485i
\(613\) −16.9854 + 38.1498i −0.686033 + 1.54086i 0.147908 + 0.989001i \(0.452746\pi\)
−0.833941 + 0.551854i \(0.813921\pi\)
\(614\) 0.463345 0.417198i 0.0186991 0.0168367i
\(615\) −7.69761 9.86250i −0.310397 0.397695i
\(616\) −1.46963 + 26.3699i −0.0592130 + 1.06248i
\(617\) 10.6454i 0.428567i −0.976772 0.214283i \(-0.931258\pi\)
0.976772 0.214283i \(-0.0687416\pi\)
\(618\) −10.6493 1.88318i −0.428379 0.0757525i
\(619\) −11.1441 4.96165i −0.447918 0.199426i 0.170366 0.985381i \(-0.445505\pi\)
−0.618284 + 0.785955i \(0.712172\pi\)
\(620\) −8.78690 0.923540i −0.352890 0.0370903i
\(621\) −1.32740 + 0.280097i −0.0532669 + 0.0112399i
\(622\) −21.5288 + 6.99512i −0.863225 + 0.280479i
\(623\) 2.65485 + 1.13788i 0.106364 + 0.0455883i
\(624\) −1.24706 0.358253i −0.0499222 0.0143416i
\(625\) −6.12111 6.79818i −0.244844 0.271927i
\(626\) −7.61438 13.1885i −0.304332 0.527118i
\(627\) −20.5618 + 42.1247i −0.821161 + 1.68230i
\(628\) 4.68115 8.10798i 0.186798 0.323544i
\(629\) 0.385723 1.18713i 0.0153798 0.0473341i
\(630\) 5.72287 12.1305i 0.228004 0.483291i
\(631\) −25.3690 18.4317i −1.00992 0.733753i −0.0457308 0.998954i \(-0.514562\pi\)
−0.964193 + 0.265201i \(0.914562\pi\)
\(632\) 3.36221 15.8179i 0.133741 0.629204i
\(633\) 20.1647 + 1.42004i 0.801473 + 0.0564416i
\(634\) 21.4651 + 2.25607i 0.852489 + 0.0896002i
\(635\) 1.81639 + 17.2818i 0.0720812 + 0.685806i
\(636\) 18.0630 6.56430i 0.716243 0.260291i
\(637\) −4.83727 0.372254i −0.191660 0.0147492i
\(638\) 0.433047 + 0.363236i 0.0171445 + 0.0143806i
\(639\) −21.1207 + 21.8281i −0.835524 + 0.863505i
\(640\) 0.919717 + 4.32693i 0.0363550 + 0.171037i
\(641\) 3.73318 8.38487i 0.147452 0.331182i −0.824686 0.565590i \(-0.808648\pi\)
0.972138 + 0.234408i \(0.0753151\pi\)
\(642\) −15.2601 + 28.6659i −0.602268 + 1.13135i
\(643\) 6.07271 + 18.6899i 0.239484 + 0.737057i 0.996495 + 0.0836545i \(0.0266592\pi\)
−0.757010 + 0.653403i \(0.773341\pi\)
\(644\) −0.330153 + 0.590733i −0.0130099 + 0.0232782i
\(645\) −13.3445 + 0.459414i −0.525440 + 0.0180894i
\(646\) 1.82577 0.191897i 0.0718342 0.00755007i
\(647\) −3.95644 18.6136i −0.155544 0.731775i −0.984910 0.173070i \(-0.944631\pi\)
0.829366 0.558706i \(-0.188702\pi\)
\(648\) 0.891976 + 27.0735i 0.0350401 + 1.06355i
\(649\) 29.7449 23.2480i 1.16759 0.912563i
\(650\) 1.54109i 0.0604466i
\(651\) −20.7719 + 13.3719i −0.814115 + 0.524088i
\(652\) −0.948694 + 0.689267i −0.0371537 + 0.0269938i
\(653\) −14.0967 31.6617i −0.551647 1.23902i −0.947220 0.320585i \(-0.896120\pi\)
0.395573 0.918435i \(-0.370546\pi\)
\(654\) −12.6665 0.892000i −0.495297 0.0348800i
\(655\) −10.0947 9.08933i −0.394433 0.355149i
\(656\) −4.26324 + 1.89812i −0.166451 + 0.0741090i
\(657\) −32.1523 + 12.9535i −1.25438 + 0.505364i
\(658\) 15.4784 + 10.9189i 0.603410 + 0.425663i
\(659\) −9.40653 −0.366427 −0.183213 0.983073i \(-0.558650\pi\)
−0.183213 + 0.983073i \(0.558650\pi\)
\(660\) 7.21424 6.04964i 0.280814 0.235482i
\(661\) −0.0540771 0.0936643i −0.00210336 0.00364312i 0.864972 0.501820i \(-0.167336\pi\)
−0.867075 + 0.498177i \(0.834003\pi\)
\(662\) 28.1163 5.97631i 1.09277 0.232276i
\(663\) −0.192427 + 0.185641i −0.00747324 + 0.00720971i
\(664\) 10.4011 + 7.55688i 0.403643 + 0.293264i
\(665\) −0.504103 36.1137i −0.0195483 1.40043i
\(666\) −16.9423 + 1.16793i −0.656500 + 0.0452565i
\(667\) 0.0179162 + 0.0402405i 0.000693719 + 0.00155812i
\(668\) −18.2868 8.14182i −0.707539 0.315016i
\(669\) 18.8617 22.4560i 0.729234 0.868197i
\(670\) −3.54769 2.04826i −0.137059 0.0791311i
\(671\) 20.8073 + 33.2851i 0.803256 + 1.28496i
\(672\) 17.4928 + 14.2813i 0.674800 + 0.550913i
\(673\) −21.2632 6.90883i −0.819636 0.266316i −0.130962 0.991387i \(-0.541807\pi\)
−0.688674 + 0.725071i \(0.741807\pi\)
\(674\) −0.0897622 + 0.00943439i −0.00345751 + 0.000363399i
\(675\) 10.8836 3.51852i 0.418911 0.135428i
\(676\) −8.20711 + 9.11492i −0.315658 + 0.350574i
\(677\) 5.36503 + 1.14037i 0.206195 + 0.0438281i 0.309851 0.950785i \(-0.399721\pi\)
−0.103656 + 0.994613i \(0.533054\pi\)
\(678\) 0.271853 + 7.89648i 0.0104405 + 0.303262i
\(679\) 1.77646 8.97153i 0.0681741 0.344296i
\(680\) −1.06660 0.346560i −0.0409023 0.0132900i
\(681\) −1.89615 13.5403i −0.0726607 0.518864i
\(682\) 17.8838 2.51672i 0.684806 0.0963701i
\(683\) 4.72303 2.72684i 0.180722 0.104340i −0.406910 0.913468i \(-0.633394\pi\)
0.587632 + 0.809129i \(0.300060\pi\)
\(684\) 11.2382 + 21.1864i 0.429704 + 0.810082i
\(685\) 30.4028 22.0889i 1.16163 0.843974i
\(686\) −16.5785 8.66731i −0.632968 0.330919i
\(687\) −35.6864 24.0964i −1.36152 0.919334i
\(688\) −1.03552 + 4.87176i −0.0394790 + 0.185734i
\(689\) 0.820533 7.80685i 0.0312598 0.297417i
\(690\) −0.741557 + 0.184503i −0.0282306 + 0.00702389i
\(691\) −27.1917 30.1994i −1.03442 1.14884i −0.988703 0.149886i \(-0.952109\pi\)
−0.0457168 0.998954i \(-0.514557\pi\)
\(692\) 13.7340 0.522088
\(693\) 5.13409 25.8194i 0.195028 0.980798i
\(694\) −32.3754 −1.22896
\(695\) 12.9513 + 14.3839i 0.491270 + 0.545611i
\(696\) 0.853508 0.212357i 0.0323521 0.00804936i
\(697\) −0.100522 + 0.956407i −0.00380756 + 0.0362265i
\(698\) 1.03637 4.87574i 0.0392272 0.184550i
\(699\) −14.2498 9.62182i −0.538976 0.363931i
\(700\) 2.24777 5.24436i 0.0849575 0.198218i
\(701\) 5.81185 4.22255i 0.219510 0.159484i −0.472596 0.881279i \(-0.656683\pi\)
0.692106 + 0.721796i \(0.256683\pi\)
\(702\) 3.32106 + 1.48452i 0.125345 + 0.0560296i
\(703\) −39.6032 + 22.8649i −1.49366 + 0.862366i
\(704\) −10.3838 21.2801i −0.391354 0.802025i
\(705\) −2.84827 20.3392i −0.107272 0.766020i
\(706\) 13.5068 + 4.38863i 0.508335 + 0.165168i
\(707\) 9.70355 3.30330i 0.364939 0.124234i
\(708\) −0.664566 19.3035i −0.0249759 0.725471i
\(709\) 30.9767 + 6.58430i 1.16335 + 0.247279i 0.748832 0.662760i \(-0.230615\pi\)
0.414523 + 0.910039i \(0.363949\pi\)
\(710\) −11.4480 + 12.7143i −0.429636 + 0.477159i
\(711\) −5.52785 + 15.1412i −0.207310 + 0.567838i
\(712\) −3.26786 + 0.343466i −0.122468 + 0.0128719i
\(713\) 1.33857 + 0.434929i 0.0501299 + 0.0162882i
\(714\) −0.963983 + 0.365634i −0.0360761 + 0.0136835i
\(715\) −0.931003 3.73116i −0.0348175 0.139537i
\(716\) 10.7263 + 6.19284i 0.400861 + 0.231437i
\(717\) 29.2199 34.7880i 1.09124 1.29918i
\(718\) 6.27938 + 2.79576i 0.234344 + 0.104337i
\(719\) 15.2248 + 34.1956i 0.567791 + 1.27528i 0.938098 + 0.346370i \(0.112586\pi\)
−0.370307 + 0.928909i \(0.620748\pi\)
\(720\) 0.373059 + 5.41167i 0.0139031 + 0.201681i
\(721\) 14.0477 8.37400i 0.523163 0.311864i
\(722\) −38.8856 28.2520i −1.44717 1.05143i
\(723\) 0.110225 0.106338i 0.00409933 0.00395477i
\(724\) 20.0338 4.25832i 0.744551 0.158259i
\(725\) −0.185695 0.321633i −0.00689653 0.0119451i
\(726\) −11.3140 + 15.5681i −0.419902 + 0.577788i
\(727\) 45.3591 1.68227 0.841137 0.540822i \(-0.181887\pi\)
0.841137 + 0.540822i \(0.181887\pi\)
\(728\) 5.01015 2.31499i 0.185689 0.0857991i
\(729\) 2.90169 26.8436i 0.107470 0.994208i
\(730\) −17.8372 + 7.94164i −0.660185 + 0.293933i
\(731\) 0.762736 + 0.686771i 0.0282108 + 0.0254011i
\(732\) 20.0335 + 1.41080i 0.740459 + 0.0521448i
\(733\) 12.2828 + 27.5875i 0.453674 + 1.01897i 0.985119 + 0.171875i \(0.0549826\pi\)
−0.531445 + 0.847093i \(0.678351\pi\)
\(734\) −2.98388 + 2.16792i −0.110137 + 0.0800193i
\(735\) 5.44475 + 19.5388i 0.200833 + 0.720700i
\(736\) 1.28658i 0.0474240i
\(737\) −7.72912 2.21477i −0.284706 0.0815821i
\(738\) 12.5806 3.59400i 0.463097 0.132297i
\(739\) −4.67451 21.9918i −0.171954 0.808982i −0.976572 0.215189i \(-0.930963\pi\)
0.804618 0.593793i \(-0.202370\pi\)
\(740\) 9.13469 0.960095i 0.335798 0.0352938i
\(741\) 9.78980 0.337035i 0.359637 0.0123813i
\(742\) 14.7670 26.4221i 0.542113 0.969986i
\(743\) 12.6450 + 38.9173i 0.463900 + 1.42774i 0.860361 + 0.509686i \(0.170238\pi\)
−0.396461 + 0.918052i \(0.629762\pi\)
\(744\) 13.2058 24.8070i 0.484148 0.909468i
\(745\) 7.95319 17.8632i 0.291382 0.654455i
\(746\) 4.79516 + 22.5595i 0.175563 + 0.825961i
\(747\) −9.20932 8.91090i −0.336951 0.326033i
\(748\) −0.721955 0.0503522i −0.0263973 0.00184106i
\(749\) −10.8799 47.8893i −0.397545 1.74984i
\(750\) 19.8098 7.19912i 0.723352 0.262875i
\(751\) −0.308964 2.93959i −0.0112743 0.107267i 0.987438 0.158010i \(-0.0505078\pi\)
−0.998712 + 0.0507427i \(0.983841\pi\)
\(752\) −7.61882 0.800770i −0.277830 0.0292011i
\(753\) −47.8826 3.37200i −1.74494 0.122883i
\(754\) 0.0245574 0.115533i 0.000894327 0.00420748i
\(755\) −9.04695 6.57300i −0.329252 0.239216i
\(756\) −9.13636 9.89579i −0.332286 0.359906i
\(757\) −12.6344 + 38.8848i −0.459206 + 1.41329i 0.406919 + 0.913464i \(0.366603\pi\)
−0.866125 + 0.499827i \(0.833397\pi\)
\(758\) 8.39267 14.5365i 0.304836 0.527991i
\(759\) −1.32448 + 0.703708i −0.0480755 + 0.0255430i
\(760\) 20.5434 + 35.5822i 0.745187 + 1.29070i
\(761\) −13.1706 14.6274i −0.477432 0.530242i 0.455528 0.890221i \(-0.349450\pi\)
−0.932960 + 0.359979i \(0.882784\pi\)
\(762\) −17.4664 5.01772i −0.632740 0.181773i
\(763\) 15.3759 11.5025i 0.556643 0.416418i
\(764\) −1.41651 + 0.460253i −0.0512476 + 0.0166514i
\(765\) 1.00423 + 0.491020i 0.0363079 + 0.0177529i
\(766\) −8.79583 0.924479i −0.317806 0.0334028i
\(767\) −7.20710 3.20881i −0.260233 0.115863i
\(768\) −28.9090 5.11213i −1.04316 0.184468i
\(769\) 16.4140i 0.591902i 0.955203 + 0.295951i \(0.0956365\pi\)
−0.955203 + 0.295951i \(0.904363\pi\)
\(770\) 2.36817 14.6380i 0.0853431 0.527515i
\(771\) −3.56312 4.56522i −0.128323 0.164412i
\(772\) −1.69250 + 1.52393i −0.0609144 + 0.0548476i
\(773\) −4.68837 + 10.5302i −0.168629 + 0.378746i −0.978016 0.208528i \(-0.933133\pi\)
0.809388 + 0.587275i \(0.199799\pi\)
\(774\) 4.78889 13.1171i 0.172133 0.471485i
\(775\) −11.6075 2.46724i −0.416952 0.0886259i
\(776\) 3.21506 + 9.89493i 0.115414 + 0.355207i
\(777\) 18.2320 18.0871i 0.654068 0.648871i
\(778\) −9.18312 12.6395i −0.329231 0.453147i
\(779\) 26.1823 23.5747i 0.938078 0.844650i
\(780\) −1.82386 0.737932i −0.0653045 0.0264222i
\(781\) −15.7591 + 29.6515i −0.563904 + 1.06101i
\(782\) 0.0508696 + 0.0293696i 0.00181909 + 0.00105025i
\(783\) −0.871998 + 0.0903469i −0.0311627 + 0.00322874i
\(784\) 7.56292 0.211180i 0.270104 0.00754214i
\(785\) −9.39707 + 12.9340i −0.335396 + 0.461633i
\(786\) 12.7713 6.22117i 0.455536 0.221902i
\(787\) 18.2403 + 16.4236i 0.650195 + 0.585438i 0.926805 0.375544i \(-0.122544\pi\)
−0.276609 + 0.960982i \(0.589211\pi\)
\(788\) 2.26836 21.5820i 0.0808069 0.768826i
\(789\) 9.60989 + 9.96115i 0.342121 + 0.354626i
\(790\) −2.80567 + 8.63496i −0.0998212 + 0.307218i
\(791\) −8.11824 8.76699i −0.288651 0.311718i
\(792\) 9.23125 + 28.4888i 0.328018 + 1.01231i
\(793\) 4.10145 7.10392i 0.145647 0.252267i
\(794\) 5.50813 1.17079i 0.195476 0.0415498i
\(795\) −31.8474 + 7.92378i −1.12951 + 0.281027i
\(796\) −8.80987 + 3.92241i −0.312258 + 0.139026i
\(797\) 26.4365 8.58975i 0.936430 0.304265i 0.199241 0.979951i \(-0.436152\pi\)
0.737190 + 0.675686i \(0.236152\pi\)
\(798\) 35.2083 + 13.6766i 1.24636 + 0.484145i
\(799\) −0.927921 + 1.27717i −0.0328275 + 0.0451832i
\(800\) 1.13388 + 10.7882i 0.0400888 + 0.381420i
\(801\) 3.27306 + 0.117529i 0.115648 + 0.00415268i
\(802\) 9.86844 5.69755i 0.348467 0.201187i
\(803\) −30.1938 + 23.5988i −1.06552 + 0.832785i
\(804\) −3.24277 + 2.53096i −0.114364 + 0.0892600i
\(805\) 0.666131 0.944292i 0.0234780 0.0332819i
\(806\) −2.21832 3.05326i −0.0781371 0.107546i
\(807\) 14.2154 + 7.56744i 0.500405 + 0.266387i
\(808\) −7.80261 + 8.66568i −0.274495 + 0.304857i
\(809\) −14.6667 + 16.2890i −0.515653 + 0.572690i −0.943589 0.331118i \(-0.892574\pi\)
0.427937 + 0.903809i \(0.359241\pi\)
\(810\) 1.09081 15.1694i 0.0383272 0.532998i
\(811\) 2.01069 + 2.76748i 0.0706048 + 0.0971792i 0.842859 0.538135i \(-0.180871\pi\)
−0.772254 + 0.635314i \(0.780871\pi\)
\(812\) −0.252081 + 0.357344i −0.00884630 + 0.0125403i
\(813\) −1.69069 2.16619i −0.0592952 0.0759715i
\(814\) −17.6414 + 6.42458i −0.618331 + 0.225181i
\(815\) 1.73417 1.00122i 0.0607452 0.0350713i
\(816\) 0.268179 0.319283i 0.00938813 0.0111771i
\(817\) −3.93044 37.3956i −0.137509 1.30831i
\(818\) 12.0715 16.6149i 0.422068 0.580927i
\(819\) −5.26794 + 1.58479i −0.184077 + 0.0553771i
\(820\) −6.73009 + 2.18674i −0.235025 + 0.0763642i
\(821\) −24.3763 + 10.8530i −0.850739 + 0.378773i −0.785324 0.619085i \(-0.787504\pi\)
−0.0654146 + 0.997858i \(0.520837\pi\)
\(822\) 9.48899 + 38.1383i 0.330966 + 1.33023i
\(823\) −33.6954 + 7.16218i −1.17455 + 0.249658i −0.753542 0.657400i \(-0.771656\pi\)
−0.421006 + 0.907058i \(0.638323\pi\)
\(824\) −9.30226 + 16.1120i −0.324060 + 0.561288i
\(825\) 10.4858 7.06799i 0.365067 0.246076i
\(826\) −20.6686 22.3203i −0.719153 0.776622i
\(827\) −3.60035 + 11.0807i −0.125196 + 0.385315i −0.993937 0.109953i \(-0.964930\pi\)
0.868741 + 0.495268i \(0.164930\pi\)
\(828\) −0.107543 + 0.759769i −0.00373737 + 0.0264038i
\(829\) −2.24786 + 21.3870i −0.0780715 + 0.742800i 0.883534 + 0.468366i \(0.155157\pi\)
−0.961606 + 0.274434i \(0.911509\pi\)
\(830\) −5.36420 4.82995i −0.186194 0.167650i
\(831\) −4.24827 8.72115i −0.147371 0.302533i
\(832\) −2.90843 + 4.00312i −0.100832 + 0.138783i
\(833\) 0.741566 1.37147i 0.0256937 0.0475185i
\(834\) −19.0245 + 6.91375i −0.658766 + 0.239403i
\(835\) 29.6026 + 17.0911i 1.02444 + 0.591461i
\(836\) 18.4214 + 19.0690i 0.637118 + 0.659515i
\(837\) −16.4983 + 22.6374i −0.570263 + 0.782464i
\(838\) 8.49755 7.65123i 0.293543 0.264307i
\(839\) 12.5380 + 17.2571i 0.432860 + 0.595781i 0.968607 0.248598i \(-0.0799698\pi\)
−0.535747 + 0.844379i \(0.679970\pi\)
\(840\) −16.2507 16.3808i −0.560702 0.565193i
\(841\) −8.95270 27.5536i −0.308714 0.950123i
\(842\) −3.62606 0.770742i −0.124962 0.0265615i
\(843\) 23.2380 + 37.2295i 0.800360 + 1.28225i
\(844\) 4.65056 10.4453i 0.160079 0.359543i
\(845\) 15.5648 14.0146i 0.535446 0.482118i
\(846\) 20.8352 + 5.21662i 0.716328 + 0.179351i
\(847\) −2.44570 29.0003i −0.0840352 0.996463i
\(848\) 12.2416i 0.420378i
\(849\) 6.27700 35.4963i 0.215426 1.21823i
\(850\) −0.452433 0.201436i −0.0155183 0.00690921i
\(851\) −1.45515 0.152943i −0.0498820 0.00524281i
\(852\) 7.52358 + 15.4449i 0.257754 + 0.529135i
\(853\) −3.24637 + 1.05481i −0.111154 + 0.0361160i −0.364066 0.931373i \(-0.618612\pi\)
0.252912 + 0.967489i \(0.418612\pi\)
\(854\) 25.3272 18.9470i 0.866679 0.648352i
\(855\) −15.3038 37.9861i −0.523380 1.29910i
\(856\) 37.3823 + 41.5173i 1.27770 + 1.41903i
\(857\) 11.1625 + 19.3340i 0.381303 + 0.660436i 0.991249 0.132007i \(-0.0421421\pi\)
−0.609946 + 0.792443i \(0.708809\pi\)
\(858\) 3.98237 + 0.560950i 0.135956 + 0.0191505i
\(859\) −7.88941 + 13.6649i −0.269183 + 0.466239i −0.968651 0.248425i \(-0.920087\pi\)
0.699468 + 0.714664i \(0.253420\pi\)
\(860\) −2.33383 + 7.18279i −0.0795830 + 0.244931i
\(861\) −10.8423 + 16.5508i −0.369505 + 0.564051i
\(862\) 12.0716 + 8.77053i 0.411160 + 0.298725i
\(863\) −3.22852 + 15.1890i −0.109900 + 0.517039i 0.888417 + 0.459038i \(0.151806\pi\)
−0.998317 + 0.0580005i \(0.981527\pi\)
\(864\) 24.3408 + 7.94863i 0.828091 + 0.270418i
\(865\) −23.3240 2.45145i −0.793039 0.0833517i
\(866\) 1.73889 + 16.5444i 0.0590898 + 0.562202i
\(867\) 10.0277 + 27.5933i 0.340560 + 0.937118i
\(868\) 3.09565 + 13.6258i 0.105073 + 0.462491i
\(869\) −1.23982 + 17.7767i −0.0420581 + 0.603033i
\(870\) −0.489036 + 0.0684837i −0.0165799 + 0.00232182i
\(871\) 0.349327 + 1.64346i 0.0118365 + 0.0556864i
\(872\) −8.88490 + 19.9558i −0.300881 + 0.675789i
\(873\) −1.79071 10.2145i −0.0606063 0.345708i
\(874\) −0.664991 2.04663i −0.0224937 0.0692284i
\(875\) −15.5502 + 27.8236i −0.525694 + 0.940608i
\(876\) 0.674596 + 19.5949i 0.0227925 + 0.662049i
\(877\) 29.3979 3.08984i 0.992696 0.104337i 0.405768 0.913976i \(-0.367004\pi\)
0.586928 + 0.809639i \(0.300337\pi\)
\(878\) 0.0796441 + 0.374696i 0.00268786 + 0.0126454i
\(879\) 19.7947 + 8.00894i 0.667659 + 0.270135i
\(880\) 2.05213 + 5.63499i 0.0691772 + 0.189956i
\(881\) 42.4150i 1.42900i −0.699637 0.714498i \(-0.746655\pi\)
0.699637 0.714498i \(-0.253345\pi\)
\(882\) −21.0777 2.38549i −0.709721 0.0803235i
\(883\) −9.50181 + 6.90347i −0.319761 + 0.232320i −0.736074 0.676901i \(-0.763322\pi\)
0.416312 + 0.909222i \(0.363322\pi\)
\(884\) 0.0615127 + 0.138160i 0.00206890 + 0.00464682i
\(885\) −2.31697 + 32.9012i −0.0778842 + 1.10596i
\(886\) −30.2412 27.2293i −1.01597 0.914786i
\(887\) −26.0150 + 11.5826i −0.873498 + 0.388907i −0.793992 0.607928i \(-0.792001\pi\)
−0.0795061 + 0.996834i \(0.525334\pi\)
\(888\) −8.06669 + 28.0796i −0.270700 + 0.942291i
\(889\) 24.9474 11.5272i 0.836708 0.386608i
\(890\) 1.84483 0.0618390
\(891\) −5.13069 29.4054i −0.171885 0.985117i
\(892\) −8.29381 14.3653i −0.277697 0.480986i
\(893\) 56.5721 12.0248i 1.89311 0.402394i
\(894\) 14.1980 + 14.7169i 0.474851 + 0.492208i
\(895\) −17.1107 12.4317i −0.571949 0.415545i
\(896\) 6.00924 3.58219i 0.200755 0.119673i
\(897\) 0.259750 + 0.175390i 0.00867280 + 0.00585610i
\(898\) −9.92452 22.2908i −0.331185 0.743855i
\(899\) 0.830878 + 0.369931i 0.0277113 + 0.0123379i
\(900\) 0.232166 6.46556i 0.00773885 0.215519i
\(901\) 2.18468 + 1.26133i 0.0727823 + 0.0420209i
\(902\) 12.2654 7.66739i 0.408394 0.255296i
\(903\) 7.48893 + 19.7444i 0.249216 + 0.657051i
\(904\) 12.9273 + 4.20033i 0.429955 + 0.139701i
\(905\) −34.7828 + 3.65582i −1.15622 + 0.121524i
\(906\) 9.92082 6.19242i 0.329597 0.205729i
\(907\) −28.9657 + 32.1697i −0.961790 + 1.06818i 0.0358390 + 0.999358i \(0.488590\pi\)
−0.997629 + 0.0688186i \(0.978077\pi\)
\(908\) −7.56442 1.60787i −0.251034 0.0533589i
\(909\) 8.91099 7.46225i 0.295559 0.247507i
\(910\) −2.93338 + 0.998589i −0.0972407 + 0.0331029i
\(911\) −39.8311 12.9419i −1.31966 0.428785i −0.437284 0.899323i \(-0.644060\pi\)
−0.882379 + 0.470539i \(0.844060\pi\)
\(912\) −15.1283 + 2.11854i −0.500948 + 0.0701519i
\(913\) −12.5101 6.64880i −0.414023 0.220043i
\(914\) −29.2129 + 16.8661i −0.966276 + 0.557880i
\(915\) −33.7704 5.97180i −1.11641 0.197422i
\(916\) −19.7041 + 14.3159i −0.651042 + 0.473010i
\(917\) −8.46307 + 19.7456i −0.279475 + 0.652056i
\(918\) −0.869921 + 0.780954i −0.0287117 + 0.0257753i
\(919\) −7.51162 + 35.3394i −0.247785 + 1.16574i 0.661624 + 0.749836i \(0.269868\pi\)
−0.909409 + 0.415903i \(0.863466\pi\)
\(920\) −0.137414 + 1.30741i −0.00453041 + 0.0431040i
\(921\) 0.258131 + 1.03749i 0.00850572 + 0.0341864i
\(922\) −11.5475 12.8248i −0.380296 0.422362i
\(923\) 7.01711 0.230971
\(924\) −12.7339 7.71742i −0.418914 0.253885i
\(925\) 12.3365 0.405621
\(926\) 16.3294 + 18.1356i 0.536617 + 0.595974i
\(927\) 11.4312 14.6016i 0.375450 0.479579i
\(928\) 0.0869046 0.826842i 0.00285278 0.0271424i
\(929\) −8.43968 + 39.7056i −0.276897 + 1.30270i 0.591289 + 0.806460i \(0.298619\pi\)
−0.868186 + 0.496238i \(0.834714\pi\)
\(930\) −8.82958 + 13.0765i −0.289533 + 0.428795i
\(931\) −53.8100 + 19.1603i −1.76355 + 0.627953i
\(932\) −7.86797 + 5.71642i −0.257724 + 0.187247i
\(933\) 6.75911 38.2226i 0.221283 1.25135i
\(934\) 14.2356 8.21891i 0.465802 0.268931i
\(935\) 1.21708 + 0.214377i 0.0398029 + 0.00701087i
\(936\) 4.35168 4.49742i 0.142239 0.147003i
\(937\) −3.07412 0.998842i −0.100427 0.0326307i 0.258372 0.966045i \(-0.416814\pi\)
−0.358800 + 0.933415i \(0.616814\pi\)
\(938\) −1.25841 + 6.35527i −0.0410885 + 0.207507i
\(939\) 26.0976 0.898468i 0.851664 0.0293204i
\(940\) −11.3627 2.41522i −0.370612 0.0787759i
\(941\) −33.6807 + 37.4062i −1.09796 + 1.21941i −0.124098 + 0.992270i \(0.539604\pi\)
−0.973862 + 0.227138i \(0.927063\pi\)
\(942\) −8.85297 14.1833i −0.288445 0.462116i
\(943\) 1.12110 0.117832i 0.0365080 0.00383714i
\(944\) 11.7007 + 3.80180i 0.380827 + 0.123738i
\(945\) 13.7496 + 18.4365i 0.447275 + 0.599739i
\(946\) 1.07408 15.4003i 0.0349215 0.500708i
\(947\) 47.4819 + 27.4137i 1.54295 + 0.890825i 0.998650 + 0.0519374i \(0.0165396\pi\)
0.544304 + 0.838888i \(0.316794\pi\)
\(948\) 6.98121 + 5.86380i 0.226739 + 0.190447i
\(949\) 7.31587 + 3.25723i 0.237483 + 0.105734i
\(950\) 7.37978 + 16.5753i 0.239432 + 0.537773i
\(951\) −20.7106 + 30.6720i −0.671586 + 0.994609i
\(952\) 0.0247555 + 1.77347i 0.000802331 + 0.0574785i
\(953\) 13.7411 + 9.98346i 0.445116 + 0.323396i 0.787665 0.616104i \(-0.211290\pi\)
−0.342548 + 0.939500i \(0.611290\pi\)
\(954\) 4.81013 33.9827i 0.155734 1.10023i
\(955\) 2.48777 0.528791i 0.0805023 0.0171113i
\(956\) −12.8485 22.2543i −0.415550 0.719754i
\(957\) −0.898731 + 0.362785i −0.0290518 + 0.0117272i
\(958\) 7.14066 0.230704
\(959\) −48.5650 34.2592i −1.56825 1.10629i
\(960\) 19.8827 + 5.71189i 0.641712 + 0.184350i
\(961\) −1.77140 + 0.788678i −0.0571419 + 0.0254412i
\(962\) 2.91567 + 2.62528i 0.0940048 + 0.0846423i
\(963\) −31.0932 46.1957i −1.00196 1.48864i
\(964\) −0.0352355 0.0791403i −0.00113486 0.00254894i
\(965\) 3.14633 2.28594i 0.101284 0.0735871i
\(966\) 0.654164 + 1.01617i 0.0210474 + 0.0326949i
\(967\) 30.0795i 0.967292i −0.875264 0.483646i \(-0.839312\pi\)
0.875264 0.483646i \(-0.160688\pi\)
\(968\) 18.5236 + 27.4409i 0.595371 + 0.881983i
\(969\) −1.18068 + 2.91814i −0.0379289 + 0.0937442i
\(970\) −1.21449 5.71372i −0.0389949 0.183456i
\(971\) 53.7557 5.64996i 1.72510 0.181316i 0.810520 0.585712i \(-0.199185\pi\)
0.914584 + 0.404396i \(0.132518\pi\)
\(972\) −13.7097 6.72854i −0.439738 0.215818i
\(973\) 14.9338 26.7206i 0.478756 0.856624i
\(974\) −2.01357 6.19712i −0.0645188 0.198568i
\(975\) −2.33262 1.24175i −0.0747035 0.0397678i
\(976\) −5.20304 + 11.6862i −0.166545 + 0.374067i
\(977\) 8.88573 + 41.8041i 0.284280 + 1.33743i 0.855997 + 0.516980i \(0.172944\pi\)
−0.571718 + 0.820450i \(0.693723\pi\)
\(978\) 0.290427 + 2.07392i 0.00928685 + 0.0663166i
\(979\) 3.51312 0.876596i 0.112280 0.0280161i
\(980\) 11.4388 + 0.880280i 0.365400 + 0.0281195i
\(981\) 11.5563 18.4534i 0.368963 0.589171i
\(982\) 0.359534 + 3.42073i 0.0114732 + 0.109160i
\(983\) −7.41144 0.778974i −0.236388 0.0248454i −0.0144064 0.999896i \(-0.504586\pi\)
−0.221982 + 0.975051i \(0.571253\pi\)
\(984\) 1.58118 22.4529i 0.0504063 0.715772i
\(985\) −7.70455 + 36.2471i −0.245487 + 1.15493i
\(986\) 0.0307084 + 0.0223109i 0.000977954 + 0.000710525i
\(987\) −28.9989 + 14.6303i −0.923044 + 0.465687i
\(988\) 1.71214 5.26943i 0.0544705 0.167643i
\(989\) 0.601550 1.04191i 0.0191282 0.0331309i
\(990\) −3.48253 16.4491i −0.110682 0.522786i
\(991\) 6.71506 + 11.6308i 0.213311 + 0.369465i 0.952749 0.303759i \(-0.0982419\pi\)
−0.739438 + 0.673225i \(0.764909\pi\)
\(992\) −17.7755 19.7417i −0.564373 0.626800i
\(993\) −13.6092 + 47.3727i −0.431875 + 1.50333i
\(994\) 24.8696 + 10.6592i 0.788814 + 0.338091i
\(995\) 15.6616 5.08877i 0.496507 0.161325i
\(996\) −6.51627 + 3.17422i −0.206476 + 0.100579i
\(997\) −53.2485 5.59665i −1.68640 0.177248i −0.787773 0.615965i \(-0.788766\pi\)
−0.898625 + 0.438718i \(0.855433\pi\)
\(998\) 24.4245 + 10.8745i 0.773144 + 0.344226i
\(999\) 11.8836 26.5851i 0.375981 0.841116i
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 231.2.be.a.2.10 224
3.2 odd 2 inner 231.2.be.a.2.19 yes 224
7.4 even 3 inner 231.2.be.a.200.19 yes 224
11.6 odd 10 inner 231.2.be.a.149.10 yes 224
21.11 odd 6 inner 231.2.be.a.200.10 yes 224
33.17 even 10 inner 231.2.be.a.149.19 yes 224
77.39 odd 30 inner 231.2.be.a.116.19 yes 224
231.116 even 30 inner 231.2.be.a.116.10 yes 224
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
231.2.be.a.2.10 224 1.1 even 1 trivial
231.2.be.a.2.19 yes 224 3.2 odd 2 inner
231.2.be.a.116.10 yes 224 231.116 even 30 inner
231.2.be.a.116.19 yes 224 77.39 odd 30 inner
231.2.be.a.149.10 yes 224 11.6 odd 10 inner
231.2.be.a.149.19 yes 224 33.17 even 10 inner
231.2.be.a.200.10 yes 224 21.11 odd 6 inner
231.2.be.a.200.19 yes 224 7.4 even 3 inner