Properties

Label 370.2.q.f.97.5
Level $370$
Weight $2$
Character 370.97
Analytic conductor $2.954$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [370,2,Mod(97,370)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(370, base_ring=CyclotomicField(12))
 
chi = DirichletCharacter(H, H._module([3, 5]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("370.97");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 370 = 2 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 370.q (of order \(12\), degree \(4\), 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: \(2.95446487479\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 97.5
Character \(\chi\) \(=\) 370.97
Dual form 370.2.q.f.103.5

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.500000 - 0.866025i) q^{2} +(-0.0267201 + 0.0997208i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(0.206483 + 2.22651i) q^{5} +(0.0730007 + 0.0730007i) q^{6} +(-0.571833 + 2.13411i) q^{7} -1.00000 q^{8} +(2.58885 + 1.49467i) q^{9} +O(q^{10})\) \(q+(0.500000 - 0.866025i) q^{2} +(-0.0267201 + 0.0997208i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(0.206483 + 2.22651i) q^{5} +(0.0730007 + 0.0730007i) q^{6} +(-0.571833 + 2.13411i) q^{7} -1.00000 q^{8} +(2.58885 + 1.49467i) q^{9} +(2.03146 + 0.934438i) q^{10} +2.16169i q^{11} +(0.0997208 - 0.0267201i) q^{12} +(0.466433 + 0.807886i) q^{13} +(1.56228 + 1.56228i) q^{14} +(-0.227547 - 0.0389020i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-4.83629 - 2.79223i) q^{17} +(2.58885 - 1.49467i) q^{18} +(4.52305 + 1.21195i) q^{19} +(1.82498 - 1.29208i) q^{20} +(-0.197536 - 0.114047i) q^{21} +(1.87208 + 1.08084i) q^{22} +9.14220 q^{23} +(0.0267201 - 0.0997208i) q^{24} +(-4.91473 + 0.919474i) q^{25} +0.932867 q^{26} +(-0.437226 + 0.437226i) q^{27} +(2.13411 - 0.571833i) q^{28} +(-3.75539 - 3.75539i) q^{29} +(-0.147464 + 0.177610i) q^{30} +(2.61073 - 2.61073i) q^{31} +(0.500000 + 0.866025i) q^{32} +(-0.215565 - 0.0577605i) q^{33} +(-4.83629 + 2.79223i) q^{34} +(-4.86970 - 0.832537i) q^{35} -2.98934i q^{36} +(-5.95478 - 1.24118i) q^{37} +(3.31110 - 3.31110i) q^{38} +(-0.0930262 + 0.0249263i) q^{39} +(-0.206483 - 2.22651i) q^{40} +(0.618232 - 0.356936i) q^{41} +(-0.197536 + 0.114047i) q^{42} +1.79189 q^{43} +(1.87208 - 1.08084i) q^{44} +(-2.79335 + 6.07273i) q^{45} +(4.57110 - 7.91738i) q^{46} +(-0.916690 - 0.916690i) q^{47} +(-0.0730007 - 0.0730007i) q^{48} +(1.83475 + 1.05929i) q^{49} +(-1.66108 + 4.71602i) q^{50} +(0.407670 - 0.407670i) q^{51} +(0.466433 - 0.807886i) q^{52} +(-0.460907 - 1.72013i) q^{53} +(0.160036 + 0.597262i) q^{54} +(-4.81303 + 0.446352i) q^{55} +(0.571833 - 2.13411i) q^{56} +(-0.241713 + 0.418658i) q^{57} +(-5.12996 + 1.37457i) q^{58} +(0.639839 + 2.38791i) q^{59} +(0.0800833 + 0.216512i) q^{60} +(6.94753 + 1.86158i) q^{61} +(-0.955594 - 3.56633i) q^{62} +(-4.67018 + 4.67018i) q^{63} +1.00000 q^{64} +(-1.70246 + 1.20534i) q^{65} +(-0.157805 + 0.157805i) q^{66} +(-8.38887 - 2.24779i) q^{67} +5.58447i q^{68} +(-0.244280 + 0.911667i) q^{69} +(-3.15585 + 3.80101i) q^{70} +(-6.02963 - 10.4436i) q^{71} +(-2.58885 - 1.49467i) q^{72} +(-7.72337 - 7.72337i) q^{73} +(-4.05229 + 4.53640i) q^{74} +(0.0396314 - 0.514669i) q^{75} +(-1.21195 - 4.52305i) q^{76} +(-4.61328 - 1.23612i) q^{77} +(-0.0249263 + 0.0930262i) q^{78} +(12.3560 + 3.31077i) q^{79} +(-2.03146 - 0.934438i) q^{80} +(4.45209 + 7.71125i) q^{81} -0.713873i q^{82} +(0.483220 + 1.80340i) q^{83} +0.228095i q^{84} +(5.21834 - 11.3446i) q^{85} +(0.895944 - 1.55182i) q^{86} +(0.474835 - 0.274146i) q^{87} -2.16169i q^{88} +(-5.35452 + 1.43474i) q^{89} +(3.86246 + 5.45548i) q^{90} +(-1.99084 + 0.533444i) q^{91} +(-4.57110 - 7.91738i) q^{92} +(0.190585 + 0.330103i) q^{93} +(-1.25222 + 0.335532i) q^{94} +(-1.76448 + 10.3209i) q^{95} +(-0.0997208 + 0.0267201i) q^{96} +13.2375i q^{97} +(1.83475 - 1.05929i) q^{98} +(-3.23101 + 5.59628i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32 q + 16 q^{2} - 2 q^{3} - 16 q^{4} + 6 q^{5} + 8 q^{6} - 10 q^{7} - 32 q^{8} + 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 32 q + 16 q^{2} - 2 q^{3} - 16 q^{4} + 6 q^{5} + 8 q^{6} - 10 q^{7} - 32 q^{8} + 12 q^{9} + 6 q^{10} + 10 q^{12} + 10 q^{13} - 8 q^{14} - 8 q^{15} - 16 q^{16} - 12 q^{17} + 12 q^{18} + 2 q^{19} - 54 q^{21} + 6 q^{22} + 12 q^{23} + 2 q^{24} - 16 q^{25} + 20 q^{26} + 40 q^{27} + 2 q^{28} + 6 q^{29} + 8 q^{30} - 4 q^{31} + 16 q^{32} + 26 q^{33} - 12 q^{34} - 12 q^{35} + 20 q^{37} - 26 q^{38} - 58 q^{39} - 6 q^{40} + 18 q^{41} - 54 q^{42} - 32 q^{43} + 6 q^{44} + 56 q^{45} + 6 q^{46} + 18 q^{47} - 8 q^{48} - 12 q^{49} - 14 q^{50} - 4 q^{51} + 10 q^{52} - 24 q^{53} + 20 q^{54} - 32 q^{55} + 10 q^{56} + 8 q^{57} + 36 q^{58} + 42 q^{59} + 16 q^{60} - 46 q^{61} - 14 q^{62} + 32 q^{64} - 18 q^{65} + 4 q^{66} + 50 q^{67} - 66 q^{69} + 12 q^{70} - 12 q^{71} - 12 q^{72} - 28 q^{73} + 16 q^{74} - 20 q^{75} - 28 q^{76} + 12 q^{77} - 26 q^{78} + 38 q^{79} - 6 q^{80} + 56 q^{81} - 8 q^{85} - 16 q^{86} + 18 q^{87} + 18 q^{89} + 4 q^{90} + 4 q^{91} - 6 q^{92} + 32 q^{93} + 30 q^{94} + 96 q^{95} - 10 q^{96} - 12 q^{98} - 26 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(297\)
\(\chi(n)\) \(e\left(\frac{5}{12}\right)\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 0.866025i 0.353553 0.612372i
\(3\) −0.0267201 + 0.0997208i −0.0154269 + 0.0575738i −0.973210 0.229917i \(-0.926154\pi\)
0.957783 + 0.287491i \(0.0928211\pi\)
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) 0.206483 + 2.22651i 0.0923420 + 0.995727i
\(6\) 0.0730007 + 0.0730007i 0.0298024 + 0.0298024i
\(7\) −0.571833 + 2.13411i −0.216133 + 0.806618i 0.769632 + 0.638487i \(0.220440\pi\)
−0.985765 + 0.168130i \(0.946227\pi\)
\(8\) −1.00000 −0.353553
\(9\) 2.58885 + 1.49467i 0.862949 + 0.498224i
\(10\) 2.03146 + 0.934438i 0.642404 + 0.295495i
\(11\) 2.16169i 0.651774i 0.945409 + 0.325887i \(0.105663\pi\)
−0.945409 + 0.325887i \(0.894337\pi\)
\(12\) 0.0997208 0.0267201i 0.0287869 0.00771343i
\(13\) 0.466433 + 0.807886i 0.129365 + 0.224067i 0.923431 0.383765i \(-0.125373\pi\)
−0.794066 + 0.607832i \(0.792039\pi\)
\(14\) 1.56228 + 1.56228i 0.417536 + 0.417536i
\(15\) −0.227547 0.0389020i −0.0587524 0.0100445i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −4.83629 2.79223i −1.17297 0.677216i −0.218595 0.975816i \(-0.570147\pi\)
−0.954379 + 0.298599i \(0.903481\pi\)
\(18\) 2.58885 1.49467i 0.610197 0.352297i
\(19\) 4.52305 + 1.21195i 1.03766 + 0.278040i 0.737142 0.675737i \(-0.236175\pi\)
0.300515 + 0.953777i \(0.402841\pi\)
\(20\) 1.82498 1.29208i 0.408077 0.288917i
\(21\) −0.197536 0.114047i −0.0431058 0.0248872i
\(22\) 1.87208 + 1.08084i 0.399128 + 0.230437i
\(23\) 9.14220 1.90628 0.953140 0.302529i \(-0.0978310\pi\)
0.953140 + 0.302529i \(0.0978310\pi\)
\(24\) 0.0267201 0.0997208i 0.00545422 0.0203554i
\(25\) −4.91473 + 0.919474i −0.982946 + 0.183895i
\(26\) 0.932867 0.182950
\(27\) −0.437226 + 0.437226i −0.0841442 + 0.0841442i
\(28\) 2.13411 0.571833i 0.403309 0.108066i
\(29\) −3.75539 3.75539i −0.697358 0.697358i 0.266482 0.963840i \(-0.414139\pi\)
−0.963840 + 0.266482i \(0.914139\pi\)
\(30\) −0.147464 + 0.177610i −0.0269231 + 0.0324271i
\(31\) 2.61073 2.61073i 0.468901 0.468901i −0.432657 0.901558i \(-0.642424\pi\)
0.901558 + 0.432657i \(0.142424\pi\)
\(32\) 0.500000 + 0.866025i 0.0883883 + 0.153093i
\(33\) −0.215565 0.0577605i −0.0375251 0.0100548i
\(34\) −4.83629 + 2.79223i −0.829417 + 0.478864i
\(35\) −4.86970 0.832537i −0.823129 0.140724i
\(36\) 2.98934i 0.498224i
\(37\) −5.95478 1.24118i −0.978961 0.204049i
\(38\) 3.31110 3.31110i 0.537131 0.537131i
\(39\) −0.0930262 + 0.0249263i −0.0148961 + 0.00399140i
\(40\) −0.206483 2.22651i −0.0326478 0.352043i
\(41\) 0.618232 0.356936i 0.0965516 0.0557441i −0.450947 0.892551i \(-0.648914\pi\)
0.547498 + 0.836807i \(0.315580\pi\)
\(42\) −0.197536 + 0.114047i −0.0304804 + 0.0175979i
\(43\) 1.79189 0.273260 0.136630 0.990622i \(-0.456373\pi\)
0.136630 + 0.990622i \(0.456373\pi\)
\(44\) 1.87208 1.08084i 0.282226 0.162943i
\(45\) −2.79335 + 6.07273i −0.416409 + 0.905269i
\(46\) 4.57110 7.91738i 0.673972 1.16735i
\(47\) −0.916690 0.916690i −0.133713 0.133713i 0.637083 0.770796i \(-0.280141\pi\)
−0.770796 + 0.637083i \(0.780141\pi\)
\(48\) −0.0730007 0.0730007i −0.0105367 0.0105367i
\(49\) 1.83475 + 1.05929i 0.262107 + 0.151327i
\(50\) −1.66108 + 4.71602i −0.234912 + 0.666946i
\(51\) 0.407670 0.407670i 0.0570852 0.0570852i
\(52\) 0.466433 0.807886i 0.0646827 0.112034i
\(53\) −0.460907 1.72013i −0.0633105 0.236278i 0.927019 0.375015i \(-0.122362\pi\)
−0.990329 + 0.138737i \(0.955696\pi\)
\(54\) 0.160036 + 0.597262i 0.0217781 + 0.0812770i
\(55\) −4.81303 + 0.446352i −0.648989 + 0.0601861i
\(56\) 0.571833 2.13411i 0.0764144 0.285182i
\(57\) −0.241713 + 0.418658i −0.0320156 + 0.0554527i
\(58\) −5.12996 + 1.37457i −0.673596 + 0.180490i
\(59\) 0.639839 + 2.38791i 0.0832999 + 0.310880i 0.994987 0.100006i \(-0.0318862\pi\)
−0.911687 + 0.410886i \(0.865220\pi\)
\(60\) 0.0800833 + 0.216512i 0.0103387 + 0.0279516i
\(61\) 6.94753 + 1.86158i 0.889540 + 0.238351i 0.674518 0.738258i \(-0.264351\pi\)
0.215021 + 0.976609i \(0.431018\pi\)
\(62\) −0.955594 3.56633i −0.121361 0.452924i
\(63\) −4.67018 + 4.67018i −0.588387 + 0.588387i
\(64\) 1.00000 0.125000
\(65\) −1.70246 + 1.20534i −0.211164 + 0.149503i
\(66\) −0.157805 + 0.157805i −0.0194244 + 0.0194244i
\(67\) −8.38887 2.24779i −1.02486 0.274612i −0.293037 0.956101i \(-0.594666\pi\)
−0.731828 + 0.681490i \(0.761332\pi\)
\(68\) 5.58447i 0.677216i
\(69\) −0.244280 + 0.911667i −0.0294079 + 0.109752i
\(70\) −3.15585 + 3.80101i −0.377196 + 0.454308i
\(71\) −6.02963 10.4436i −0.715586 1.23943i −0.962733 0.270453i \(-0.912826\pi\)
0.247147 0.968978i \(-0.420507\pi\)
\(72\) −2.58885 1.49467i −0.305098 0.176149i
\(73\) −7.72337 7.72337i −0.903952 0.903952i 0.0918231 0.995775i \(-0.470731\pi\)
−0.995775 + 0.0918231i \(0.970731\pi\)
\(74\) −4.05229 + 4.53640i −0.471069 + 0.527346i
\(75\) 0.0396314 0.514669i 0.00457624 0.0594289i
\(76\) −1.21195 4.52305i −0.139020 0.518829i
\(77\) −4.61328 1.23612i −0.525732 0.140870i
\(78\) −0.0249263 + 0.0930262i −0.00282235 + 0.0105331i
\(79\) 12.3560 + 3.31077i 1.39015 + 0.372491i 0.874799 0.484486i \(-0.160993\pi\)
0.515355 + 0.856977i \(0.327660\pi\)
\(80\) −2.03146 0.934438i −0.227124 0.104473i
\(81\) 4.45209 + 7.71125i 0.494677 + 0.856806i
\(82\) 0.713873i 0.0788341i
\(83\) 0.483220 + 1.80340i 0.0530403 + 0.197949i 0.987362 0.158482i \(-0.0506600\pi\)
−0.934322 + 0.356431i \(0.883993\pi\)
\(84\) 0.228095i 0.0248872i
\(85\) 5.21834 11.3446i 0.566008 1.23050i
\(86\) 0.895944 1.55182i 0.0966122 0.167337i
\(87\) 0.474835 0.274146i 0.0509076 0.0293915i
\(88\) 2.16169i 0.230437i
\(89\) −5.35452 + 1.43474i −0.567578 + 0.152082i −0.531185 0.847256i \(-0.678253\pi\)
−0.0363922 + 0.999338i \(0.511587\pi\)
\(90\) 3.86246 + 5.45548i 0.407139 + 0.575058i
\(91\) −1.99084 + 0.533444i −0.208697 + 0.0559201i
\(92\) −4.57110 7.91738i −0.476570 0.825444i
\(93\) 0.190585 + 0.330103i 0.0197628 + 0.0342301i
\(94\) −1.25222 + 0.335532i −0.129157 + 0.0346075i
\(95\) −1.76448 + 10.3209i −0.181032 + 1.05890i
\(96\) −0.0997208 + 0.0267201i −0.0101777 + 0.00272711i
\(97\) 13.2375i 1.34407i 0.740521 + 0.672034i \(0.234579\pi\)
−0.740521 + 0.672034i \(0.765421\pi\)
\(98\) 1.83475 1.05929i 0.185337 0.107005i
\(99\) −3.23101 + 5.59628i −0.324729 + 0.562447i
\(100\) 3.25365 + 3.79654i 0.325365 + 0.379654i
\(101\) 10.8961i 1.08421i −0.840312 0.542104i \(-0.817628\pi\)
0.840312 0.542104i \(-0.182372\pi\)
\(102\) −0.149218 0.556888i −0.0147747 0.0551401i
\(103\) 12.6761i 1.24902i −0.781018 0.624508i \(-0.785299\pi\)
0.781018 0.624508i \(-0.214701\pi\)
\(104\) −0.466433 0.807886i −0.0457376 0.0792198i
\(105\) 0.213140 0.463365i 0.0208003 0.0452198i
\(106\) −1.72013 0.460907i −0.167074 0.0447673i
\(107\) 1.32096 4.92988i 0.127702 0.476589i −0.872220 0.489114i \(-0.837320\pi\)
0.999922 + 0.0125247i \(0.00398683\pi\)
\(108\) 0.597262 + 0.160036i 0.0574715 + 0.0153995i
\(109\) −0.305100 1.13865i −0.0292233 0.109063i 0.949774 0.312938i \(-0.101313\pi\)
−0.978997 + 0.203875i \(0.934646\pi\)
\(110\) −2.01996 + 4.39138i −0.192596 + 0.418702i
\(111\) 0.282884 0.560651i 0.0268502 0.0532147i
\(112\) −1.56228 1.56228i −0.147621 0.147621i
\(113\) −11.9875 6.92097i −1.12769 0.651070i −0.184334 0.982864i \(-0.559013\pi\)
−0.943352 + 0.331794i \(0.892346\pi\)
\(114\) 0.241713 + 0.418658i 0.0226385 + 0.0392109i
\(115\) 1.88771 + 20.3552i 0.176030 + 1.89814i
\(116\) −1.37457 + 5.12996i −0.127625 + 0.476305i
\(117\) 2.78866i 0.257811i
\(118\) 2.38791 + 0.639839i 0.219825 + 0.0589020i
\(119\) 8.72449 8.72449i 0.799772 0.799772i
\(120\) 0.227547 + 0.0389020i 0.0207721 + 0.00355125i
\(121\) 6.32710 0.575191
\(122\) 5.08594 5.08594i 0.460460 0.460460i
\(123\) 0.0190748 + 0.0711880i 0.00171991 + 0.00641880i
\(124\) −3.56633 0.955594i −0.320265 0.0858149i
\(125\) −3.06203 10.7529i −0.273876 0.961765i
\(126\) 1.70940 + 6.37958i 0.152286 + 0.568338i
\(127\) 19.5349 5.23436i 1.73344 0.464474i 0.752469 0.658627i \(-0.228863\pi\)
0.980971 + 0.194153i \(0.0621959\pi\)
\(128\) 0.500000 0.866025i 0.0441942 0.0765466i
\(129\) −0.0478795 + 0.178689i −0.00421555 + 0.0157327i
\(130\) 0.192621 + 2.07704i 0.0168940 + 0.182169i
\(131\) 3.58187 + 13.3677i 0.312950 + 1.16794i 0.925883 + 0.377810i \(0.123323\pi\)
−0.612934 + 0.790134i \(0.710011\pi\)
\(132\) 0.0577605 + 0.215565i 0.00502741 + 0.0187625i
\(133\) −5.17285 + 8.95965i −0.448543 + 0.776900i
\(134\) −6.14108 + 6.14108i −0.530509 + 0.530509i
\(135\) −1.06377 0.883210i −0.0915547 0.0760146i
\(136\) 4.83629 + 2.79223i 0.414709 + 0.239432i
\(137\) −7.86425 7.86425i −0.671888 0.671888i 0.286263 0.958151i \(-0.407587\pi\)
−0.958151 + 0.286263i \(0.907587\pi\)
\(138\) 0.667387 + 0.667387i 0.0568117 + 0.0568117i
\(139\) 0.315020 0.545631i 0.0267197 0.0462798i −0.852356 0.522961i \(-0.824827\pi\)
0.879076 + 0.476682i \(0.158161\pi\)
\(140\) 1.71385 + 4.63355i 0.144847 + 0.391607i
\(141\) 0.115907 0.0669190i 0.00976114 0.00563560i
\(142\) −12.0593 −1.01199
\(143\) −1.74640 + 1.00828i −0.146041 + 0.0843169i
\(144\) −2.58885 + 1.49467i −0.215737 + 0.124556i
\(145\) 7.58600 9.13685i 0.629983 0.758774i
\(146\) −10.5503 + 2.82695i −0.873151 + 0.233960i
\(147\) −0.154658 + 0.154658i −0.0127560 + 0.0127560i
\(148\) 1.90250 + 5.77759i 0.156384 + 0.474915i
\(149\) 12.0604i 0.988028i −0.869454 0.494014i \(-0.835529\pi\)
0.869454 0.494014i \(-0.164471\pi\)
\(150\) −0.425901 0.291656i −0.0347747 0.0238136i
\(151\) 11.9725 6.91232i 0.974308 0.562517i 0.0737609 0.997276i \(-0.476500\pi\)
0.900547 + 0.434759i \(0.143167\pi\)
\(152\) −4.52305 1.21195i −0.366867 0.0983018i
\(153\) −8.34694 14.4573i −0.674810 1.16881i
\(154\) −3.37716 + 3.37716i −0.272139 + 0.272139i
\(155\) 6.35190 + 5.27376i 0.510197 + 0.423598i
\(156\) 0.0680999 + 0.0680999i 0.00545236 + 0.00545236i
\(157\) −13.4082 + 3.59272i −1.07009 + 0.286731i −0.750531 0.660835i \(-0.770202\pi\)
−0.319562 + 0.947565i \(0.603536\pi\)
\(158\) 9.04519 9.04519i 0.719597 0.719597i
\(159\) 0.183848 0.0145801
\(160\) −1.82498 + 1.29208i −0.144277 + 0.102148i
\(161\) −5.22781 + 19.5105i −0.412009 + 1.53764i
\(162\) 8.90419 0.699579
\(163\) 8.36087 + 4.82715i 0.654874 + 0.378092i 0.790321 0.612693i \(-0.209914\pi\)
−0.135447 + 0.990785i \(0.543247\pi\)
\(164\) −0.618232 0.356936i −0.0482758 0.0278721i
\(165\) 0.0840941 0.491886i 0.00654672 0.0382933i
\(166\) 1.80340 + 0.483220i 0.139971 + 0.0375052i
\(167\) −9.85063 + 5.68727i −0.762265 + 0.440094i −0.830108 0.557602i \(-0.811721\pi\)
0.0678435 + 0.997696i \(0.478388\pi\)
\(168\) 0.197536 + 0.114047i 0.0152402 + 0.00879894i
\(169\) 6.06488 10.5047i 0.466529 0.808052i
\(170\) −7.21556 10.1915i −0.553408 0.781654i
\(171\) 9.89801 + 9.89801i 0.756920 + 0.756920i
\(172\) −0.895944 1.55182i −0.0683151 0.118325i
\(173\) 11.7935 3.16007i 0.896647 0.240256i 0.219071 0.975709i \(-0.429697\pi\)
0.677576 + 0.735453i \(0.263031\pi\)
\(174\) 0.548292i 0.0415659i
\(175\) 0.848145 11.0144i 0.0641137 0.832607i
\(176\) −1.87208 1.08084i −0.141113 0.0814717i
\(177\) −0.255221 −0.0191836
\(178\) −1.43474 + 5.35452i −0.107538 + 0.401338i
\(179\) 4.60327 + 4.60327i 0.344065 + 0.344065i 0.857893 0.513828i \(-0.171773\pi\)
−0.513828 + 0.857893i \(0.671773\pi\)
\(180\) 6.65581 0.617248i 0.496095 0.0460070i
\(181\) 11.8428 + 20.5123i 0.880268 + 1.52467i 0.851043 + 0.525096i \(0.175971\pi\)
0.0292251 + 0.999573i \(0.490696\pi\)
\(182\) −0.533444 + 1.99084i −0.0395415 + 0.147571i
\(183\) −0.371277 + 0.643071i −0.0274456 + 0.0475372i
\(184\) −9.14220 −0.673972
\(185\) 1.53395 13.5147i 0.112778 0.993620i
\(186\) 0.381170 0.0279488
\(187\) 6.03594 10.4546i 0.441392 0.764513i
\(188\) −0.335532 + 1.25222i −0.0244712 + 0.0913277i
\(189\) −0.683068 1.18311i −0.0496859 0.0860585i
\(190\) 8.05589 + 6.68852i 0.584436 + 0.485236i
\(191\) −15.7937 15.7937i −1.14279 1.14279i −0.987938 0.154851i \(-0.950510\pi\)
−0.154851 0.987938i \(-0.549490\pi\)
\(192\) −0.0267201 + 0.0997208i −0.00192836 + 0.00719673i
\(193\) 18.0709 1.30077 0.650384 0.759605i \(-0.274608\pi\)
0.650384 + 0.759605i \(0.274608\pi\)
\(194\) 11.4640 + 6.61876i 0.823070 + 0.475200i
\(195\) −0.0747071 0.201977i −0.00534988 0.0144639i
\(196\) 2.11858i 0.151327i
\(197\) 18.0287 4.83077i 1.28449 0.344178i 0.448926 0.893569i \(-0.351807\pi\)
0.835566 + 0.549391i \(0.185140\pi\)
\(198\) 3.23101 + 5.59628i 0.229618 + 0.397710i
\(199\) 1.40477 + 1.40477i 0.0995816 + 0.0995816i 0.755142 0.655561i \(-0.227568\pi\)
−0.655561 + 0.755142i \(0.727568\pi\)
\(200\) 4.91473 0.919474i 0.347524 0.0650167i
\(201\) 0.448303 0.776484i 0.0316209 0.0547690i
\(202\) −9.43634 5.44807i −0.663939 0.383325i
\(203\) 10.1619 5.86696i 0.713223 0.411780i
\(204\) −0.556888 0.149218i −0.0389899 0.0104473i
\(205\) 0.922378 + 1.30280i 0.0644217 + 0.0909916i
\(206\) −10.9779 6.33806i −0.764863 0.441594i
\(207\) 23.6677 + 13.6646i 1.64502 + 0.949754i
\(208\) −0.932867 −0.0646827
\(209\) −2.61985 + 9.77742i −0.181219 + 0.676318i
\(210\) −0.294716 0.416267i −0.0203373 0.0287252i
\(211\) 16.2232 1.11685 0.558427 0.829554i \(-0.311405\pi\)
0.558427 + 0.829554i \(0.311405\pi\)
\(212\) −1.25922 + 1.25922i −0.0864837 + 0.0864837i
\(213\) 1.20256 0.322225i 0.0823980 0.0220785i
\(214\) −3.60892 3.60892i −0.246701 0.246701i
\(215\) 0.369995 + 3.98967i 0.0252334 + 0.272093i
\(216\) 0.437226 0.437226i 0.0297495 0.0297495i
\(217\) 4.07869 + 7.06449i 0.276879 + 0.479569i
\(218\) −1.13865 0.305100i −0.0771190 0.0206640i
\(219\) 0.976550 0.563811i 0.0659891 0.0380988i
\(220\) 2.79307 + 3.94503i 0.188309 + 0.265974i
\(221\) 5.20957i 0.350433i
\(222\) −0.344096 0.525311i −0.0230942 0.0352565i
\(223\) 3.11324 3.11324i 0.208478 0.208478i −0.595142 0.803620i \(-0.702904\pi\)
0.803620 + 0.595142i \(0.202904\pi\)
\(224\) −2.13411 + 0.571833i −0.142591 + 0.0382072i
\(225\) −14.0978 4.96553i −0.939853 0.331035i
\(226\) −11.9875 + 6.92097i −0.797394 + 0.460376i
\(227\) −18.5445 + 10.7067i −1.23084 + 0.710627i −0.967206 0.253995i \(-0.918255\pi\)
−0.263637 + 0.964622i \(0.584922\pi\)
\(228\) 0.483425 0.0320156
\(229\) −13.3473 + 7.70608i −0.882015 + 0.509232i −0.871322 0.490711i \(-0.836737\pi\)
−0.0106930 + 0.999943i \(0.503404\pi\)
\(230\) 18.5720 + 8.54281i 1.22460 + 0.563296i
\(231\) 0.246535 0.427011i 0.0162208 0.0280952i
\(232\) 3.75539 + 3.75539i 0.246553 + 0.246553i
\(233\) −5.57317 5.57317i −0.365110 0.365110i 0.500580 0.865690i \(-0.333120\pi\)
−0.865690 + 0.500580i \(0.833120\pi\)
\(234\) 2.41505 + 1.39433i 0.157877 + 0.0911501i
\(235\) 1.85174 2.23030i 0.120794 0.145489i
\(236\) 1.74807 1.74807i 0.113790 0.113790i
\(237\) −0.660305 + 1.14368i −0.0428914 + 0.0742901i
\(238\) −3.19338 11.9179i −0.206996 0.772521i
\(239\) −3.64592 13.6067i −0.235835 0.880147i −0.977771 0.209677i \(-0.932759\pi\)
0.741936 0.670471i \(-0.233908\pi\)
\(240\) 0.147464 0.177610i 0.00951874 0.0114647i
\(241\) 5.18360 19.3455i 0.333905 1.24615i −0.571146 0.820848i \(-0.693501\pi\)
0.905051 0.425302i \(-0.139832\pi\)
\(242\) 3.16355 5.47943i 0.203361 0.352231i
\(243\) −2.67972 + 0.718028i −0.171904 + 0.0460615i
\(244\) −1.86158 6.94753i −0.119176 0.444770i
\(245\) −1.97968 + 4.30381i −0.126477 + 0.274961i
\(246\) 0.0711880 + 0.0190748i 0.00453878 + 0.00121616i
\(247\) 1.13058 + 4.21940i 0.0719374 + 0.268474i
\(248\) −2.61073 + 2.61073i −0.165782 + 0.165782i
\(249\) −0.192748 −0.0122149
\(250\) −10.8433 2.72463i −0.685788 0.172321i
\(251\) −21.0945 + 21.0945i −1.33147 + 1.33147i −0.427415 + 0.904055i \(0.640576\pi\)
−0.904055 + 0.427415i \(0.859424\pi\)
\(252\) 6.37958 + 1.70940i 0.401876 + 0.107682i
\(253\) 19.7626i 1.24246i
\(254\) 5.23436 19.5349i 0.328433 1.22573i
\(255\) 0.991860 + 0.823506i 0.0621127 + 0.0515700i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −4.94342 2.85409i −0.308362 0.178033i 0.337831 0.941207i \(-0.390307\pi\)
−0.646193 + 0.763174i \(0.723640\pi\)
\(258\) 0.130809 + 0.130809i 0.00814382 + 0.00814382i
\(259\) 6.05397 11.9984i 0.376175 0.745545i
\(260\) 1.89508 + 0.871706i 0.117528 + 0.0540609i
\(261\) −4.10905 15.3352i −0.254344 0.949225i
\(262\) 13.3677 + 3.58187i 0.825861 + 0.221289i
\(263\) −3.94489 + 14.7225i −0.243253 + 0.907831i 0.731001 + 0.682376i \(0.239053\pi\)
−0.974254 + 0.225455i \(0.927613\pi\)
\(264\) 0.215565 + 0.0577605i 0.0132671 + 0.00355492i
\(265\) 3.73472 1.38139i 0.229422 0.0848584i
\(266\) 5.17285 + 8.95965i 0.317168 + 0.549351i
\(267\) 0.572293i 0.0350238i
\(268\) 2.24779 + 8.38887i 0.137306 + 0.512432i
\(269\) 19.0043i 1.15871i 0.815075 + 0.579356i \(0.196696\pi\)
−0.815075 + 0.579356i \(0.803304\pi\)
\(270\) −1.29677 + 0.479646i −0.0789187 + 0.0291904i
\(271\) −10.0387 + 17.3876i −0.609809 + 1.05622i 0.381462 + 0.924384i \(0.375421\pi\)
−0.991272 + 0.131836i \(0.957913\pi\)
\(272\) 4.83629 2.79223i 0.293243 0.169304i
\(273\) 0.212782i 0.0128781i
\(274\) −10.7428 + 2.87852i −0.648994 + 0.173898i
\(275\) −1.98762 10.6241i −0.119858 0.640658i
\(276\) 0.911667 0.244280i 0.0548759 0.0147040i
\(277\) 4.94567 + 8.56615i 0.297156 + 0.514690i 0.975484 0.220069i \(-0.0706284\pi\)
−0.678328 + 0.734759i \(0.737295\pi\)
\(278\) −0.315020 0.545631i −0.0188937 0.0327248i
\(279\) 10.6610 2.85660i 0.638255 0.171020i
\(280\) 4.86970 + 0.832537i 0.291020 + 0.0497536i
\(281\) 6.02311 1.61389i 0.359309 0.0962765i −0.0746485 0.997210i \(-0.523783\pi\)
0.433957 + 0.900933i \(0.357117\pi\)
\(282\) 0.133838i 0.00796994i
\(283\) 7.88244 4.55093i 0.468563 0.270525i −0.247075 0.968996i \(-0.579469\pi\)
0.715638 + 0.698472i \(0.246136\pi\)
\(284\) −6.02963 + 10.4436i −0.357793 + 0.619716i
\(285\) −0.982058 0.451730i −0.0581721 0.0267582i
\(286\) 2.01657i 0.119242i
\(287\) 0.408216 + 1.52348i 0.0240962 + 0.0899284i
\(288\) 2.98934i 0.176149i
\(289\) 7.09315 + 12.2857i 0.417244 + 0.722688i
\(290\) −4.11974 11.1381i −0.241920 0.654052i
\(291\) −1.32006 0.353708i −0.0773831 0.0207347i
\(292\) −2.82695 + 10.5503i −0.165435 + 0.617411i
\(293\) −23.1383 6.19988i −1.35175 0.362201i −0.490971 0.871176i \(-0.663358\pi\)
−0.860781 + 0.508975i \(0.830025\pi\)
\(294\) 0.0566087 + 0.211267i 0.00330149 + 0.0123213i
\(295\) −5.18460 + 1.91767i −0.301859 + 0.111651i
\(296\) 5.95478 + 1.24118i 0.346115 + 0.0721424i
\(297\) −0.945147 0.945147i −0.0548430 0.0548430i
\(298\) −10.4446 6.03021i −0.605041 0.349321i
\(299\) 4.26423 + 7.38586i 0.246607 + 0.427135i
\(300\) −0.465532 + 0.223013i −0.0268775 + 0.0128756i
\(301\) −1.02466 + 3.82409i −0.0590605 + 0.220417i
\(302\) 13.8246i 0.795519i
\(303\) 1.08657 + 0.291146i 0.0624220 + 0.0167259i
\(304\) −3.31110 + 3.31110i −0.189905 + 0.189905i
\(305\) −2.71030 + 15.8532i −0.155191 + 0.907749i
\(306\) −16.6939 −0.954326
\(307\) −5.13771 + 5.13771i −0.293224 + 0.293224i −0.838353 0.545128i \(-0.816481\pi\)
0.545128 + 0.838353i \(0.316481\pi\)
\(308\) 1.23612 + 4.61328i 0.0704348 + 0.262866i
\(309\) 1.26407 + 0.338707i 0.0719106 + 0.0192684i
\(310\) 7.74316 2.86403i 0.439782 0.162666i
\(311\) −2.14138 7.99173i −0.121426 0.453169i 0.878261 0.478182i \(-0.158704\pi\)
−0.999687 + 0.0250127i \(0.992037\pi\)
\(312\) 0.0930262 0.0249263i 0.00526657 0.00141117i
\(313\) −15.5337 + 26.9052i −0.878017 + 1.52077i −0.0245033 + 0.999700i \(0.507800\pi\)
−0.853514 + 0.521070i \(0.825533\pi\)
\(314\) −3.59272 + 13.4082i −0.202749 + 0.756670i
\(315\) −11.3625 9.43391i −0.640206 0.531540i
\(316\) −3.31077 12.3560i −0.186245 0.695077i
\(317\) −3.12372 11.6579i −0.175445 0.654771i −0.996475 0.0838862i \(-0.973267\pi\)
0.821030 0.570885i \(-0.193400\pi\)
\(318\) 0.0919241 0.159217i 0.00515485 0.00892846i
\(319\) 8.11798 8.11798i 0.454520 0.454520i
\(320\) 0.206483 + 2.22651i 0.0115427 + 0.124466i
\(321\) 0.456315 + 0.263454i 0.0254690 + 0.0147046i
\(322\) 14.2826 + 14.2826i 0.795941 + 0.795941i
\(323\) −18.4907 18.4907i −1.02885 1.02885i
\(324\) 4.45209 7.71125i 0.247339 0.428403i
\(325\) −3.03522 3.54167i −0.168364 0.196456i
\(326\) 8.36087 4.82715i 0.463066 0.267351i
\(327\) 0.121699 0.00672998
\(328\) −0.618232 + 0.356936i −0.0341362 + 0.0197085i
\(329\) 2.48051 1.43212i 0.136755 0.0789555i
\(330\) −0.383938 0.318770i −0.0211351 0.0175477i
\(331\) −25.4114 + 6.80897i −1.39674 + 0.374255i −0.877172 0.480176i \(-0.840573\pi\)
−0.519565 + 0.854431i \(0.673906\pi\)
\(332\) 1.32018 1.32018i 0.0724544 0.0724544i
\(333\) −13.5609 12.1137i −0.743130 0.663826i
\(334\) 11.3745i 0.622387i
\(335\) 3.27258 19.1421i 0.178800 1.04584i
\(336\) 0.197536 0.114047i 0.0107765 0.00622179i
\(337\) −5.83517 1.56353i −0.317862 0.0851709i 0.0963604 0.995347i \(-0.469280\pi\)
−0.414223 + 0.910176i \(0.635947\pi\)
\(338\) −6.06488 10.5047i −0.329886 0.571379i
\(339\) 1.01047 1.01047i 0.0548812 0.0548812i
\(340\) −12.4339 + 1.15310i −0.674323 + 0.0625355i
\(341\) 5.64359 + 5.64359i 0.305617 + 0.305617i
\(342\) 13.5209 3.62292i 0.731128 0.195905i
\(343\) −14.2457 + 14.2457i −0.769198 + 0.769198i
\(344\) −1.79189 −0.0966122
\(345\) −2.08028 0.355650i −0.111998 0.0191476i
\(346\) 3.16007 11.7935i 0.169887 0.634025i
\(347\) 10.5674 0.567287 0.283643 0.958930i \(-0.408457\pi\)
0.283643 + 0.958930i \(0.408457\pi\)
\(348\) −0.474835 0.274146i −0.0254538 0.0146958i
\(349\) −21.8768 12.6306i −1.17104 0.676099i −0.217114 0.976146i \(-0.569664\pi\)
−0.953924 + 0.300047i \(0.902998\pi\)
\(350\) −9.11464 6.24169i −0.487198 0.333633i
\(351\) −0.557166 0.149292i −0.0297393 0.00796862i
\(352\) −1.87208 + 1.08084i −0.0997821 + 0.0576092i
\(353\) 8.58914 + 4.95894i 0.457154 + 0.263938i 0.710847 0.703347i \(-0.248312\pi\)
−0.253693 + 0.967285i \(0.581645\pi\)
\(354\) −0.127610 + 0.221028i −0.00678242 + 0.0117475i
\(355\) 22.0079 15.5815i 1.16806 0.826980i
\(356\) 3.91978 + 3.91978i 0.207748 + 0.207748i
\(357\) 0.636894 + 1.10313i 0.0337080 + 0.0583839i
\(358\) 6.28819 1.68491i 0.332341 0.0890505i
\(359\) 15.2529i 0.805019i −0.915416 0.402510i \(-0.868138\pi\)
0.915416 0.402510i \(-0.131862\pi\)
\(360\) 2.79335 6.07273i 0.147223 0.320061i
\(361\) 2.53465 + 1.46338i 0.133402 + 0.0770199i
\(362\) 23.6856 1.24489
\(363\) −0.169061 + 0.630944i −0.00887339 + 0.0331160i
\(364\) 1.45740 + 1.45740i 0.0763883 + 0.0763883i
\(365\) 15.6014 18.7909i 0.816617 0.983563i
\(366\) 0.371277 + 0.643071i 0.0194070 + 0.0336139i
\(367\) −1.52765 + 5.70127i −0.0797427 + 0.297604i −0.994267 0.106928i \(-0.965899\pi\)
0.914524 + 0.404531i \(0.132565\pi\)
\(368\) −4.57110 + 7.91738i −0.238285 + 0.412722i
\(369\) 2.13401 0.111092
\(370\) −10.9371 8.08579i −0.568592 0.420360i
\(371\) 3.93451 0.204269
\(372\) 0.190585 0.330103i 0.00988138 0.0171151i
\(373\) −2.08177 + 7.76928i −0.107790 + 0.402278i −0.998647 0.0520065i \(-0.983438\pi\)
0.890857 + 0.454284i \(0.150105\pi\)
\(374\) −6.03594 10.4546i −0.312111 0.540592i
\(375\) 1.15410 0.0180306i 0.0595975 0.000931097i
\(376\) 0.916690 + 0.916690i 0.0472747 + 0.0472747i
\(377\) 1.28229 4.78557i 0.0660412 0.246469i
\(378\) −1.36614 −0.0702665
\(379\) −21.9353 12.6643i −1.12674 0.650524i −0.183627 0.982996i \(-0.558784\pi\)
−0.943113 + 0.332472i \(0.892117\pi\)
\(380\) 9.82038 3.63235i 0.503775 0.186336i
\(381\) 2.08790i 0.106966i
\(382\) −21.5745 + 5.78088i −1.10385 + 0.295775i
\(383\) −2.85241 4.94052i −0.145751 0.252449i 0.783902 0.620885i \(-0.213227\pi\)
−0.929653 + 0.368436i \(0.879893\pi\)
\(384\) 0.0730007 + 0.0730007i 0.00372530 + 0.00372530i
\(385\) 1.79969 10.5268i 0.0917205 0.536494i
\(386\) 9.03543 15.6498i 0.459891 0.796555i
\(387\) 4.63892 + 2.67828i 0.235810 + 0.136145i
\(388\) 11.4640 6.61876i 0.581998 0.336017i
\(389\) 3.86573 + 1.03582i 0.196000 + 0.0525181i 0.355484 0.934683i \(-0.384316\pi\)
−0.159483 + 0.987201i \(0.550983\pi\)
\(390\) −0.212271 0.0362904i −0.0107488 0.00183764i
\(391\) −44.2143 25.5272i −2.23602 1.29096i
\(392\) −1.83475 1.05929i −0.0926687 0.0535023i
\(393\) −1.42875 −0.0720708
\(394\) 4.83077 18.0287i 0.243371 0.908273i
\(395\) −4.82018 + 28.1943i −0.242530 + 1.41861i
\(396\) 6.46203 0.324729
\(397\) 10.0898 10.0898i 0.506393 0.506393i −0.407024 0.913417i \(-0.633434\pi\)
0.913417 + 0.407024i \(0.133434\pi\)
\(398\) 1.91895 0.514182i 0.0961884 0.0257736i
\(399\) −0.755244 0.755244i −0.0378095 0.0378095i
\(400\) 1.66108 4.71602i 0.0830538 0.235801i
\(401\) −9.90660 + 9.90660i −0.494712 + 0.494712i −0.909787 0.415075i \(-0.863755\pi\)
0.415075 + 0.909787i \(0.363755\pi\)
\(402\) −0.448303 0.776484i −0.0223593 0.0387275i
\(403\) 3.32691 + 0.891442i 0.165725 + 0.0444059i
\(404\) −9.43634 + 5.44807i −0.469476 + 0.271052i
\(405\) −16.2499 + 11.5049i −0.807466 + 0.571683i
\(406\) 11.7339i 0.582344i
\(407\) 2.68305 12.8724i 0.132994 0.638061i
\(408\) −0.407670 + 0.407670i −0.0201827 + 0.0201827i
\(409\) −25.3152 + 6.78318i −1.25176 + 0.335407i −0.823014 0.568021i \(-0.807709\pi\)
−0.428741 + 0.903427i \(0.641043\pi\)
\(410\) 1.58945 0.147403i 0.0784972 0.00727970i
\(411\) 0.994363 0.574096i 0.0490483 0.0283181i
\(412\) −10.9779 + 6.33806i −0.540840 + 0.312254i
\(413\) −5.46195 −0.268765
\(414\) 23.6677 13.6646i 1.16321 0.671577i
\(415\) −3.91552 + 1.44827i −0.192206 + 0.0710927i
\(416\) −0.466433 + 0.807886i −0.0228688 + 0.0396099i
\(417\) 0.0459934 + 0.0459934i 0.00225231 + 0.00225231i
\(418\) 7.15757 + 7.15757i 0.350088 + 0.350088i
\(419\) −4.98984 2.88089i −0.243770 0.140741i 0.373138 0.927776i \(-0.378282\pi\)
−0.616908 + 0.787035i \(0.711615\pi\)
\(420\) −0.507856 + 0.0470976i −0.0247808 + 0.00229813i
\(421\) −22.0327 + 22.0327i −1.07381 + 1.07381i −0.0767578 + 0.997050i \(0.524457\pi\)
−0.997050 + 0.0767578i \(0.975543\pi\)
\(422\) 8.11162 14.0497i 0.394867 0.683931i
\(423\) −1.00302 3.74332i −0.0487685 0.182006i
\(424\) 0.460907 + 1.72013i 0.0223836 + 0.0835369i
\(425\) 26.3365 + 9.27623i 1.27751 + 0.449963i
\(426\) 0.322225 1.20256i 0.0156118 0.0582642i
\(427\) −7.94565 + 13.7623i −0.384517 + 0.666003i
\(428\) −4.92988 + 1.32096i −0.238295 + 0.0638509i
\(429\) −0.0538829 0.201094i −0.00260149 0.00970889i
\(430\) 3.64015 + 1.67441i 0.175544 + 0.0807471i
\(431\) 2.42703 + 0.650322i 0.116906 + 0.0313249i 0.316798 0.948493i \(-0.397392\pi\)
−0.199892 + 0.979818i \(0.564059\pi\)
\(432\) −0.160036 0.597262i −0.00769973 0.0287358i
\(433\) 14.2760 14.2760i 0.686059 0.686059i −0.275299 0.961359i \(-0.588777\pi\)
0.961359 + 0.275299i \(0.0887769\pi\)
\(434\) 8.15737 0.391566
\(435\) 0.708435 + 1.00062i 0.0339669 + 0.0479760i
\(436\) −0.833549 + 0.833549i −0.0399197 + 0.0399197i
\(437\) 41.3506 + 11.0799i 1.97807 + 0.530021i
\(438\) 1.12762i 0.0538799i
\(439\) 2.25626 8.42047i 0.107685 0.401887i −0.890951 0.454100i \(-0.849961\pi\)
0.998636 + 0.0522130i \(0.0166275\pi\)
\(440\) 4.81303 0.446352i 0.229452 0.0212790i
\(441\) 3.16658 + 5.48468i 0.150790 + 0.261175i
\(442\) −4.51162 2.60478i −0.214596 0.123897i
\(443\) 17.0281 + 17.0281i 0.809027 + 0.809027i 0.984487 0.175459i \(-0.0561410\pi\)
−0.175459 + 0.984487i \(0.556141\pi\)
\(444\) −0.626980 + 0.0353406i −0.0297552 + 0.00167719i
\(445\) −4.30008 11.6257i −0.203843 0.551109i
\(446\) −1.13953 4.25277i −0.0539581 0.201374i
\(447\) 1.20267 + 0.322256i 0.0568846 + 0.0152422i
\(448\) −0.571833 + 2.13411i −0.0270166 + 0.100827i
\(449\) 0.766242 + 0.205314i 0.0361612 + 0.00968937i 0.276854 0.960912i \(-0.410708\pi\)
−0.240693 + 0.970601i \(0.577375\pi\)
\(450\) −11.3492 + 9.72628i −0.535005 + 0.458501i
\(451\) 0.771586 + 1.33643i 0.0363325 + 0.0629298i
\(452\) 13.8419i 0.651070i
\(453\) 0.369396 + 1.37860i 0.0173557 + 0.0647725i
\(454\) 21.4134i 1.00498i
\(455\) −1.59879 4.32249i −0.0749527 0.202641i
\(456\) 0.241713 0.418658i 0.0113192 0.0196055i
\(457\) −24.6177 + 14.2130i −1.15157 + 0.664857i −0.949268 0.314468i \(-0.898174\pi\)
−0.202297 + 0.979324i \(0.564841\pi\)
\(458\) 15.4122i 0.720163i
\(459\) 3.33539 0.893715i 0.155683 0.0417151i
\(460\) 16.6843 11.8124i 0.777909 0.550757i
\(461\) −9.17243 + 2.45774i −0.427203 + 0.114469i −0.466013 0.884778i \(-0.654310\pi\)
0.0388102 + 0.999247i \(0.487643\pi\)
\(462\) −0.246535 0.427011i −0.0114698 0.0198663i
\(463\) 6.89518 + 11.9428i 0.320446 + 0.555029i 0.980580 0.196119i \(-0.0628339\pi\)
−0.660134 + 0.751148i \(0.729501\pi\)
\(464\) 5.12996 1.37457i 0.238152 0.0638127i
\(465\) −0.695627 + 0.492501i −0.0322589 + 0.0228392i
\(466\) −7.61309 + 2.03992i −0.352670 + 0.0944975i
\(467\) 37.7134i 1.74517i 0.488466 + 0.872583i \(0.337557\pi\)
−0.488466 + 0.872583i \(0.662443\pi\)
\(468\) 2.41505 1.39433i 0.111636 0.0644529i
\(469\) 9.59407 16.6174i 0.443013 0.767321i
\(470\) −1.00563 2.71881i −0.0463862 0.125409i
\(471\) 1.43308i 0.0660327i
\(472\) −0.639839 2.38791i −0.0294510 0.109913i
\(473\) 3.87351i 0.178104i
\(474\) 0.660305 + 1.14368i 0.0303288 + 0.0525311i
\(475\) −23.3439 1.79756i −1.07109 0.0824779i
\(476\) −11.9179 3.19338i −0.546255 0.146369i
\(477\) 1.37781 5.14206i 0.0630856 0.235439i
\(478\) −13.6067 3.64592i −0.622358 0.166760i
\(479\) −0.942768 3.51846i −0.0430761 0.160762i 0.941037 0.338303i \(-0.109853\pi\)
−0.984114 + 0.177540i \(0.943186\pi\)
\(480\) −0.0800833 0.216512i −0.00365529 0.00988240i
\(481\) −1.77477 5.38972i −0.0809227 0.245750i
\(482\) −14.1619 14.1619i −0.645055 0.645055i
\(483\) −1.80591 1.04264i −0.0821718 0.0474419i
\(484\) −3.16355 5.47943i −0.143798 0.249065i
\(485\) −29.4735 + 2.73332i −1.33832 + 0.124114i
\(486\) −0.718028 + 2.67972i −0.0325704 + 0.121554i
\(487\) 1.17023i 0.0530284i 0.999648 + 0.0265142i \(0.00844071\pi\)
−0.999648 + 0.0265142i \(0.991559\pi\)
\(488\) −6.94753 1.86158i −0.314500 0.0842700i
\(489\) −0.704771 + 0.704771i −0.0318708 + 0.0318708i
\(490\) 2.73737 + 3.86636i 0.123662 + 0.174664i
\(491\) −17.8819 −0.807001 −0.403500 0.914979i \(-0.632207\pi\)
−0.403500 + 0.914979i \(0.632207\pi\)
\(492\) 0.0521132 0.0521132i 0.00234945 0.00234945i
\(493\) 7.67623 + 28.6481i 0.345720 + 1.29025i
\(494\) 4.21940 + 1.13058i 0.189840 + 0.0508674i
\(495\) −13.1273 6.03836i −0.590030 0.271404i
\(496\) 0.955594 + 3.56633i 0.0429074 + 0.160133i
\(497\) 25.7358 6.89589i 1.15441 0.309323i
\(498\) −0.0963742 + 0.166925i −0.00431863 + 0.00748009i
\(499\) −1.44413 + 5.38957i −0.0646482 + 0.241270i −0.990687 0.136158i \(-0.956525\pi\)
0.926039 + 0.377428i \(0.123191\pi\)
\(500\) −7.78123 + 8.02823i −0.347987 + 0.359033i
\(501\) −0.303929 1.13428i −0.0135785 0.0506758i
\(502\) 7.72111 + 28.8156i 0.344610 + 1.28610i
\(503\) 4.36133 7.55404i 0.194462 0.336818i −0.752262 0.658864i \(-0.771037\pi\)
0.946724 + 0.322046i \(0.104371\pi\)
\(504\) 4.67018 4.67018i 0.208026 0.208026i
\(505\) 24.2604 2.24987i 1.07957 0.100118i
\(506\) 17.1149 + 9.88129i 0.760850 + 0.439277i
\(507\) 0.885481 + 0.885481i 0.0393256 + 0.0393256i
\(508\) −14.3005 14.3005i −0.634483 0.634483i
\(509\) −7.64937 + 13.2491i −0.339052 + 0.587256i −0.984255 0.176756i \(-0.943440\pi\)
0.645202 + 0.764012i \(0.276773\pi\)
\(510\) 1.20911 0.447223i 0.0535402 0.0198034i
\(511\) 20.8990 12.0660i 0.924517 0.533770i
\(512\) −1.00000 −0.0441942
\(513\) −2.50749 + 1.44770i −0.110708 + 0.0639175i
\(514\) −4.94342 + 2.85409i −0.218045 + 0.125888i
\(515\) 28.2236 2.61740i 1.24368 0.115337i
\(516\) 0.178689 0.0478795i 0.00786633 0.00210778i
\(517\) 1.98160 1.98160i 0.0871506 0.0871506i
\(518\) −7.36395 11.2421i −0.323553 0.493949i
\(519\) 1.26050i 0.0553298i
\(520\) 1.70246 1.20534i 0.0746578 0.0528574i
\(521\) 36.6921 21.1842i 1.60751 0.928097i 0.617585 0.786504i \(-0.288111\pi\)
0.989925 0.141593i \(-0.0452224\pi\)
\(522\) −15.3352 4.10905i −0.671203 0.179848i
\(523\) 18.9503 + 32.8229i 0.828640 + 1.43525i 0.899106 + 0.437732i \(0.144218\pi\)
−0.0704660 + 0.997514i \(0.522449\pi\)
\(524\) 9.78586 9.78586i 0.427497 0.427497i
\(525\) 1.07570 + 0.378882i 0.0469473 + 0.0165358i
\(526\) 10.7776 + 10.7776i 0.469928 + 0.469928i
\(527\) −19.9160 + 5.33649i −0.867556 + 0.232461i
\(528\) 0.157805 0.157805i 0.00686757 0.00686757i
\(529\) 60.5798 2.63390
\(530\) 0.671039 3.92506i 0.0291481 0.170494i
\(531\) −1.91270 + 7.13828i −0.0830040 + 0.309775i
\(532\) 10.3457 0.448543
\(533\) 0.576728 + 0.332974i 0.0249809 + 0.0144227i
\(534\) −0.495620 0.286146i −0.0214476 0.0123828i
\(535\) 11.2492 + 1.92319i 0.486345 + 0.0831469i
\(536\) 8.38887 + 2.24779i 0.362344 + 0.0970898i
\(537\) −0.582042 + 0.336042i −0.0251170 + 0.0145013i
\(538\) 16.4582 + 9.50215i 0.709563 + 0.409667i
\(539\) −2.28986 + 3.96615i −0.0986311 + 0.170834i
\(540\) −0.232998 + 1.36286i −0.0100266 + 0.0586480i
\(541\) 14.5675 + 14.5675i 0.626305 + 0.626305i 0.947136 0.320832i \(-0.103962\pi\)
−0.320832 + 0.947136i \(0.603962\pi\)
\(542\) 10.0387 + 17.3876i 0.431200 + 0.746861i
\(543\) −2.36195 + 0.632881i −0.101361 + 0.0271595i
\(544\) 5.58447i 0.239432i
\(545\) 2.47222 0.914421i 0.105898 0.0391695i
\(546\) −0.184274 0.106391i −0.00788622 0.00455311i
\(547\) −4.94178 −0.211295 −0.105648 0.994404i \(-0.533692\pi\)
−0.105648 + 0.994404i \(0.533692\pi\)
\(548\) −2.87852 + 10.7428i −0.122964 + 0.458908i
\(549\) 15.2036 + 15.2036i 0.648875 + 0.648875i
\(550\) −10.1946 3.59073i −0.434698 0.153109i
\(551\) −12.4345 21.5371i −0.529726 0.917512i
\(552\) 0.244280 0.911667i 0.0103973 0.0388031i
\(553\) −14.1311 + 24.4758i −0.600915 + 1.04082i
\(554\) 9.89133 0.420243
\(555\) 1.30671 + 0.514081i 0.0554667 + 0.0218215i
\(556\) −0.630040 −0.0267197
\(557\) 21.0873 36.5242i 0.893497 1.54758i 0.0578426 0.998326i \(-0.481578\pi\)
0.835654 0.549256i \(-0.185089\pi\)
\(558\) 2.85660 10.6610i 0.120929 0.451315i
\(559\) 0.835797 + 1.44764i 0.0353504 + 0.0612287i
\(560\) 3.15585 3.80101i 0.133359 0.160622i
\(561\) 0.881256 + 0.881256i 0.0372066 + 0.0372066i
\(562\) 1.61389 6.02311i 0.0680778 0.254070i
\(563\) 32.2486 1.35912 0.679559 0.733621i \(-0.262171\pi\)
0.679559 + 0.733621i \(0.262171\pi\)
\(564\) −0.115907 0.0669190i −0.00488057 0.00281780i
\(565\) 12.9344 28.1193i 0.544155 1.18299i
\(566\) 9.10186i 0.382580i
\(567\) −19.0025 + 5.09171i −0.798031 + 0.213832i
\(568\) 6.02963 + 10.4436i 0.252998 + 0.438205i
\(569\) −29.4533 29.4533i −1.23475 1.23475i −0.962120 0.272625i \(-0.912108\pi\)
−0.272625 0.962120i \(-0.587892\pi\)
\(570\) −0.882239 + 0.624622i −0.0369529 + 0.0261625i
\(571\) 15.8008 27.3678i 0.661243 1.14531i −0.319046 0.947739i \(-0.603362\pi\)
0.980289 0.197568i \(-0.0633043\pi\)
\(572\) 1.74640 + 1.00828i 0.0730206 + 0.0421585i
\(573\) 1.99696 1.15295i 0.0834243 0.0481651i
\(574\) 1.52348 + 0.408216i 0.0635890 + 0.0170386i
\(575\) −44.9314 + 8.40602i −1.87377 + 0.350555i
\(576\) 2.58885 + 1.49467i 0.107869 + 0.0622780i
\(577\) 7.73904 + 4.46813i 0.322180 + 0.186011i 0.652364 0.757906i \(-0.273777\pi\)
−0.330184 + 0.943917i \(0.607111\pi\)
\(578\) 14.1863 0.590072
\(579\) −0.482855 + 1.80204i −0.0200668 + 0.0748902i
\(580\) −11.7057 2.00125i −0.486055 0.0830972i
\(581\) −4.12498 −0.171133
\(582\) −0.966348 + 0.966348i −0.0400564 + 0.0400564i
\(583\) 3.71838 0.996338i 0.154000 0.0412641i
\(584\) 7.72337 + 7.72337i 0.319595 + 0.319595i
\(585\) −6.20898 + 0.575810i −0.256710 + 0.0238068i
\(586\) −16.9384 + 16.9384i −0.699718 + 0.699718i
\(587\) 14.2169 + 24.6243i 0.586793 + 1.01636i 0.994649 + 0.103309i \(0.0329432\pi\)
−0.407856 + 0.913046i \(0.633723\pi\)
\(588\) 0.211267 + 0.0566087i 0.00871249 + 0.00233450i
\(589\) 14.9725 8.64439i 0.616932 0.356186i
\(590\) −0.931547 + 5.44883i −0.0383512 + 0.224325i
\(591\) 1.92691i 0.0792627i
\(592\) 4.05229 4.53640i 0.166548 0.186445i
\(593\) −16.0994 + 16.0994i −0.661124 + 0.661124i −0.955645 0.294521i \(-0.904840\pi\)
0.294521 + 0.955645i \(0.404840\pi\)
\(594\) −1.29109 + 0.345948i −0.0529742 + 0.0141944i
\(595\) 21.2267 + 17.6237i 0.870208 + 0.722503i
\(596\) −10.4446 + 6.03021i −0.427829 + 0.247007i
\(597\) −0.177621 + 0.102549i −0.00726952 + 0.00419706i
\(598\) 8.52845 0.348754
\(599\) −24.0280 + 13.8726i −0.981758 + 0.566818i −0.902801 0.430059i \(-0.858493\pi\)
−0.0789578 + 0.996878i \(0.525159\pi\)
\(600\) −0.0396314 + 0.514669i −0.00161794 + 0.0210113i
\(601\) 6.12097 10.6018i 0.249680 0.432458i −0.713757 0.700393i \(-0.753008\pi\)
0.963437 + 0.267935i \(0.0863413\pi\)
\(602\) 2.79943 + 2.79943i 0.114096 + 0.114096i
\(603\) −18.3578 18.3578i −0.747587 0.747587i
\(604\) −11.9725 6.91232i −0.487154 0.281258i
\(605\) 1.30644 + 14.0874i 0.0531143 + 0.572734i
\(606\) 0.795426 0.795426i 0.0323120 0.0323120i
\(607\) 17.9940 31.1665i 0.730354 1.26501i −0.226377 0.974040i \(-0.572688\pi\)
0.956732 0.290971i \(-0.0939784\pi\)
\(608\) 1.21195 + 4.52305i 0.0491509 + 0.183434i
\(609\) 0.313531 + 1.17012i 0.0127049 + 0.0474155i
\(610\) 12.3741 + 10.2738i 0.501012 + 0.415972i
\(611\) 0.313006 1.16816i 0.0126629 0.0472585i
\(612\) −8.34694 + 14.4573i −0.337405 + 0.584403i
\(613\) 10.4914 2.81116i 0.423743 0.113542i −0.0406447 0.999174i \(-0.512941\pi\)
0.464387 + 0.885632i \(0.346275\pi\)
\(614\) 1.88053 + 7.01824i 0.0758921 + 0.283233i
\(615\) −0.154562 + 0.0571693i −0.00623256 + 0.00230529i
\(616\) 4.61328 + 1.23612i 0.185874 + 0.0498049i
\(617\) 1.95778 + 7.30652i 0.0788171 + 0.294149i 0.994072 0.108727i \(-0.0346773\pi\)
−0.915255 + 0.402876i \(0.868011\pi\)
\(618\) 0.925366 0.925366i 0.0372237 0.0372237i
\(619\) 5.36196 0.215515 0.107758 0.994177i \(-0.465633\pi\)
0.107758 + 0.994177i \(0.465633\pi\)
\(620\) 1.39126 8.13779i 0.0558743 0.326821i
\(621\) −3.99721 + 3.99721i −0.160402 + 0.160402i
\(622\) −7.99173 2.14138i −0.320439 0.0858614i
\(623\) 12.2476i 0.490688i
\(624\) 0.0249263 0.0930262i 0.000997850 0.00372403i
\(625\) 23.3091 9.03794i 0.932365 0.361517i
\(626\) 15.5337 + 26.9052i 0.620852 + 1.07535i
\(627\) −0.905009 0.522507i −0.0361426 0.0208669i
\(628\) 9.81550 + 9.81550i 0.391681 + 0.391681i
\(629\) 25.3334 + 22.6299i 1.01011 + 0.902313i
\(630\) −13.8513 + 5.12329i −0.551848 + 0.204117i
\(631\) −9.37285 34.9800i −0.373127 1.39253i −0.856062 0.516874i \(-0.827096\pi\)
0.482934 0.875657i \(-0.339571\pi\)
\(632\) −12.3560 3.31077i −0.491494 0.131695i
\(633\) −0.433487 + 1.61779i −0.0172295 + 0.0643015i
\(634\) −11.6579 3.12372i −0.462993 0.124059i
\(635\) 15.6880 + 42.4139i 0.622559 + 1.68314i
\(636\) −0.0919241 0.159217i −0.00364503 0.00631337i
\(637\) 1.97635i 0.0783060i
\(638\) −2.97139 11.0894i −0.117638 0.439032i
\(639\) 36.0493i 1.42609i
\(640\) 2.03146 + 0.934438i 0.0803005 + 0.0369369i
\(641\) −10.7192 + 18.5662i −0.423384 + 0.733323i −0.996268 0.0863138i \(-0.972491\pi\)
0.572884 + 0.819637i \(0.305825\pi\)
\(642\) 0.456315 0.263454i 0.0180093 0.0103977i
\(643\) 0.739740i 0.0291725i −0.999894 0.0145862i \(-0.995357\pi\)
0.999894 0.0145862i \(-0.00464311\pi\)
\(644\) 19.5105 5.22781i 0.768820 0.206005i
\(645\) −0.407739 0.0697081i −0.0160547 0.00274476i
\(646\) −25.2588 + 6.76808i −0.993795 + 0.266286i
\(647\) 14.1176 + 24.4524i 0.555019 + 0.961322i 0.997902 + 0.0647421i \(0.0206225\pi\)
−0.442883 + 0.896580i \(0.646044\pi\)
\(648\) −4.45209 7.71125i −0.174895 0.302927i
\(649\) −5.16192 + 1.38313i −0.202623 + 0.0542927i
\(650\) −4.58479 + 0.857747i −0.179830 + 0.0336436i
\(651\) −0.813459 + 0.217966i −0.0318820 + 0.00854275i
\(652\) 9.65430i 0.378092i
\(653\) −0.725000 + 0.418579i −0.0283715 + 0.0163803i −0.514119 0.857719i \(-0.671881\pi\)
0.485747 + 0.874099i \(0.338548\pi\)
\(654\) 0.0608496 0.105395i 0.00237941 0.00412126i
\(655\) −29.0238 + 10.7353i −1.13406 + 0.419463i
\(656\) 0.713873i 0.0278721i
\(657\) −8.45072 31.5385i −0.329694 1.23043i
\(658\) 2.86425i 0.111660i
\(659\) 16.9248 + 29.3146i 0.659297 + 1.14194i 0.980798 + 0.195026i \(0.0624793\pi\)
−0.321501 + 0.946909i \(0.604187\pi\)
\(660\) −0.468033 + 0.173115i −0.0182181 + 0.00673850i
\(661\) 6.42042 + 1.72035i 0.249725 + 0.0669137i 0.381510 0.924365i \(-0.375404\pi\)
−0.131785 + 0.991278i \(0.542071\pi\)
\(662\) −6.80897 + 25.4114i −0.264638 + 0.987642i
\(663\) 0.519502 + 0.139200i 0.0201758 + 0.00540609i
\(664\) −0.483220 1.80340i −0.0187526 0.0699856i
\(665\) −21.0169 9.66742i −0.815000 0.374886i
\(666\) −17.2712 + 5.68721i −0.669245 + 0.220375i
\(667\) −34.3325 34.3325i −1.32936 1.32936i
\(668\) 9.85063 + 5.68727i 0.381132 + 0.220047i
\(669\) 0.227269 + 0.393641i 0.00878672 + 0.0152190i
\(670\) −14.9412 12.4052i −0.577230 0.479254i
\(671\) −4.02417 + 15.0184i −0.155351 + 0.579778i
\(672\) 0.228095i 0.00879894i
\(673\) 22.9801 + 6.15749i 0.885816 + 0.237354i 0.672915 0.739720i \(-0.265042\pi\)
0.212901 + 0.977074i \(0.431709\pi\)
\(674\) −4.27164 + 4.27164i −0.164538 + 0.164538i
\(675\) 1.74683 2.55087i 0.0672355 0.0981829i
\(676\) −12.1298 −0.466529
\(677\) −21.0110 + 21.0110i −0.807519 + 0.807519i −0.984258 0.176739i \(-0.943445\pi\)
0.176739 + 0.984258i \(0.443445\pi\)
\(678\) −0.369858 1.38033i −0.0142043 0.0530112i
\(679\) −28.2503 7.56965i −1.08415 0.290497i
\(680\) −5.21834 + 11.3446i −0.200114 + 0.435046i
\(681\) −0.572167 2.13536i −0.0219255 0.0818270i
\(682\) 7.70929 2.06570i 0.295204 0.0790996i
\(683\) 2.68519 4.65089i 0.102746 0.177961i −0.810069 0.586334i \(-0.800570\pi\)
0.912815 + 0.408373i \(0.133904\pi\)
\(684\) 3.62292 13.5209i 0.138526 0.516986i
\(685\) 15.8860 19.1337i 0.606974 0.731061i
\(686\) 5.21431 + 19.4601i 0.199083 + 0.742988i
\(687\) −0.411814 1.53691i −0.0157117 0.0586368i
\(688\) −0.895944 + 1.55182i −0.0341576 + 0.0591626i
\(689\) 1.17469 1.17469i 0.0447520 0.0447520i
\(690\) −1.34814 + 1.62375i −0.0513229 + 0.0618151i
\(691\) 0.793456 + 0.458102i 0.0301845 + 0.0174270i 0.515016 0.857180i \(-0.327786\pi\)
−0.484832 + 0.874607i \(0.661119\pi\)
\(692\) −8.63348 8.63348i −0.328196 0.328196i
\(693\) −10.0955 10.0955i −0.383495 0.383495i
\(694\) 5.28369 9.15162i 0.200566 0.347391i
\(695\) 1.27990 + 0.588733i 0.0485494 + 0.0223319i
\(696\) −0.474835 + 0.274146i −0.0179986 + 0.0103915i
\(697\) −3.98660 −0.151003
\(698\) −21.8768 + 12.6306i −0.828049 + 0.478074i
\(699\) 0.704676 0.406845i 0.0266533 0.0153883i
\(700\) −9.96279 + 4.77266i −0.376558 + 0.180390i
\(701\) −5.09773 + 1.36593i −0.192539 + 0.0515906i −0.353800 0.935321i \(-0.615111\pi\)
0.161261 + 0.986912i \(0.448444\pi\)
\(702\) −0.407874 + 0.407874i −0.0153942 + 0.0153942i
\(703\) −25.4295 12.8308i −0.959092 0.483923i
\(704\) 2.16169i 0.0814717i
\(705\) 0.172929 + 0.244251i 0.00651288 + 0.00919903i
\(706\) 8.58914 4.95894i 0.323257 0.186632i
\(707\) 23.2536 + 6.23078i 0.874541 + 0.234332i
\(708\) 0.127610 + 0.221028i 0.00479590 + 0.00830674i
\(709\) −29.3850 + 29.3850i −1.10358 + 1.10358i −0.109600 + 0.993976i \(0.534957\pi\)
−0.993976 + 0.109600i \(0.965043\pi\)
\(710\) −2.49003 26.8501i −0.0934493 1.00767i
\(711\) 27.0392 + 27.0392i 1.01405 + 1.01405i
\(712\) 5.35452 1.43474i 0.200669 0.0537691i
\(713\) 23.8678 23.8678i 0.893857 0.893857i
\(714\) 1.27379 0.0476703
\(715\) −2.60556 3.68019i −0.0974424 0.137631i
\(716\) 1.68491 6.28819i 0.0629682 0.235001i
\(717\) 1.45429 0.0543116
\(718\) −13.2094 7.62647i −0.492972 0.284617i
\(719\) −11.6903 6.74940i −0.435975 0.251710i 0.265914 0.963997i \(-0.414326\pi\)
−0.701889 + 0.712287i \(0.747660\pi\)
\(720\) −3.86246 5.45548i −0.143945 0.203314i
\(721\) 27.0523 + 7.24863i 1.00748 + 0.269953i
\(722\) 2.53465 1.46338i 0.0943298 0.0544613i
\(723\) 1.79064 + 1.03383i 0.0665946 + 0.0384484i
\(724\) 11.8428 20.5123i 0.440134 0.762335i
\(725\) 21.9097 + 15.0037i 0.813706 + 0.557225i
\(726\) 0.461883 + 0.461883i 0.0171421 + 0.0171421i
\(727\) −22.6609 39.2498i −0.840445 1.45569i −0.889519 0.456899i \(-0.848960\pi\)
0.0490736 0.998795i \(-0.484373\pi\)
\(728\) 1.99084 0.533444i 0.0737854 0.0197707i
\(729\) 26.4262i 0.978747i
\(730\) −8.47271 22.9067i −0.313589 0.847816i
\(731\) −8.66610 5.00337i −0.320527 0.185056i
\(732\) 0.742555 0.0274456
\(733\) 12.4626 46.5110i 0.460316 1.71792i −0.211655 0.977345i \(-0.567885\pi\)
0.671971 0.740578i \(-0.265448\pi\)
\(734\) 4.17362 + 4.17362i 0.154051 + 0.154051i
\(735\) −0.376282 0.312414i −0.0138794 0.0115236i
\(736\) 4.57110 + 7.91738i 0.168493 + 0.291838i
\(737\) 4.85903 18.1341i 0.178985 0.667979i
\(738\) 1.06701 1.84811i 0.0392770 0.0680298i
\(739\) −35.1315 −1.29233 −0.646167 0.763196i \(-0.723629\pi\)
−0.646167 + 0.763196i \(0.723629\pi\)
\(740\) −12.4710 + 5.42891i −0.458445 + 0.199571i
\(741\) −0.450971 −0.0165668
\(742\) 1.96725 3.40738i 0.0722202 0.125089i
\(743\) 11.9968 44.7727i 0.440121 1.64255i −0.288386 0.957514i \(-0.593119\pi\)
0.728507 0.685039i \(-0.240215\pi\)
\(744\) −0.190585 0.330103i −0.00698719 0.0121022i
\(745\) 26.8527 2.49027i 0.983807 0.0912365i
\(746\) 5.68751 + 5.68751i 0.208234 + 0.208234i
\(747\) −1.44451 + 5.39099i −0.0528519 + 0.197246i
\(748\) −12.0719 −0.441392
\(749\) 9.76554 + 5.63814i 0.356825 + 0.206013i
\(750\) 0.561436 1.00850i 0.0205007 0.0368251i
\(751\) 41.9538i 1.53092i −0.643485 0.765458i \(-0.722512\pi\)
0.643485 0.765458i \(-0.277488\pi\)
\(752\) 1.25222 0.335532i 0.0456638 0.0122356i
\(753\) −1.53991 2.66720i −0.0561174 0.0971983i
\(754\) −3.50328 3.50328i −0.127582 0.127582i
\(755\) 17.8625 + 25.2296i 0.650083 + 0.918201i
\(756\) −0.683068 + 1.18311i −0.0248429 + 0.0430292i
\(757\) 22.2153 + 12.8260i 0.807427 + 0.466168i 0.846062 0.533085i \(-0.178967\pi\)
−0.0386345 + 0.999253i \(0.512301\pi\)
\(758\) −21.9353 + 12.6643i −0.796725 + 0.459990i
\(759\) −1.97074 0.528058i −0.0715334 0.0191673i
\(760\) 1.76448 10.3209i 0.0640046 0.374377i
\(761\) −27.3710 15.8026i −0.992197 0.572845i −0.0862666 0.996272i \(-0.527494\pi\)
−0.905930 + 0.423427i \(0.860827\pi\)
\(762\) 1.80817 + 1.04395i 0.0655031 + 0.0378183i
\(763\) 2.60447 0.0942881
\(764\) −5.78088 + 21.5745i −0.209145 + 0.780539i
\(765\) 30.4659 21.5698i 1.10150 0.779857i
\(766\) −5.70483 −0.206124
\(767\) −1.63072 + 1.63072i −0.0588818 + 0.0588818i
\(768\) 0.0997208 0.0267201i 0.00359836 0.000964179i
\(769\) −18.7032 18.7032i −0.674454 0.674454i 0.284286 0.958740i \(-0.408244\pi\)
−0.958740 + 0.284286i \(0.908244\pi\)
\(770\) −8.21661 6.82196i −0.296106 0.245846i
\(771\) 0.416700 0.416700i 0.0150071 0.0150071i
\(772\) −9.03543 15.6498i −0.325192 0.563249i
\(773\) −27.4228 7.34791i −0.986329 0.264286i −0.270621 0.962686i \(-0.587229\pi\)
−0.715708 + 0.698400i \(0.753896\pi\)
\(774\) 4.63892 2.67828i 0.166743 0.0962689i
\(775\) −10.4305 + 15.2315i −0.374676 + 0.547133i
\(776\) 13.2375i 0.475200i
\(777\) 1.03473 + 0.924305i 0.0371207 + 0.0331593i
\(778\) 2.82991 2.82991i 0.101457 0.101457i
\(779\) 3.22888 0.865176i 0.115687 0.0309981i
\(780\) −0.137564 + 0.165687i −0.00492558 + 0.00593254i
\(781\) 22.5759 13.0342i 0.807828 0.466400i
\(782\) −44.2143 + 25.5272i −1.58110 + 0.912850i
\(783\) 3.28391 0.117357
\(784\) −1.83475 + 1.05929i −0.0655266 + 0.0378318i
\(785\) −10.7678 29.1118i −0.384320 1.03904i
\(786\) −0.714374 + 1.23733i −0.0254809 + 0.0441342i
\(787\) −6.10300 6.10300i −0.217548 0.217548i 0.589916 0.807465i \(-0.299161\pi\)
−0.807465 + 0.589916i \(0.799161\pi\)
\(788\) −13.1979 13.1979i −0.470157 0.470157i
\(789\) −1.36274 0.786776i −0.0485147 0.0280100i
\(790\) 22.0069 + 18.2716i 0.782971 + 0.650073i
\(791\) 21.6249 21.6249i 0.768894 0.768894i
\(792\) 3.23101 5.59628i 0.114809 0.198855i
\(793\) 1.73661 + 6.48112i 0.0616688 + 0.230151i
\(794\) −3.69313 13.7829i −0.131064 0.489138i
\(795\) 0.0379615 + 0.409341i 0.00134636 + 0.0145178i
\(796\) 0.514182 1.91895i 0.0182247 0.0680155i
\(797\) 15.7807 27.3329i 0.558980 0.968182i −0.438602 0.898681i \(-0.644526\pi\)
0.997582 0.0695002i \(-0.0221404\pi\)
\(798\) −1.03168 + 0.276438i −0.0365211 + 0.00978581i
\(799\) 1.87377 + 6.99299i 0.0662891 + 0.247394i
\(800\) −3.25365 3.79654i −0.115034 0.134228i
\(801\) −16.0065 4.28892i −0.565561 0.151542i
\(802\) 3.62607 + 13.5327i 0.128041 + 0.477855i
\(803\) 16.6955 16.6955i 0.589172 0.589172i
\(804\) −0.896606 −0.0316209
\(805\) −44.5198 7.61122i −1.56912 0.268260i
\(806\) 2.43546 2.43546i 0.0857856 0.0857856i
\(807\) −1.89512 0.507797i −0.0667115 0.0178753i
\(808\) 10.8961i 0.383325i
\(809\) −12.8270 + 47.8709i −0.450972 + 1.68305i 0.248694 + 0.968582i \(0.419999\pi\)
−0.699666 + 0.714470i \(0.746668\pi\)
\(810\) 1.83856 + 19.8253i 0.0646005 + 0.696590i
\(811\) 1.63906 + 2.83894i 0.0575553 + 0.0996887i 0.893367 0.449327i \(-0.148336\pi\)
−0.835812 + 0.549015i \(0.815003\pi\)
\(812\) −10.1619 5.86696i −0.356612 0.205890i
\(813\) −1.46567 1.46567i −0.0514032 0.0514032i
\(814\) −9.80629 8.75979i −0.343710 0.307030i
\(815\) −9.02134 + 19.6123i −0.316004 + 0.686990i
\(816\) 0.149218 + 0.556888i 0.00522366 + 0.0194950i
\(817\) 8.10480 + 2.17167i 0.283551 + 0.0759772i
\(818\) −6.78318 + 25.3152i −0.237168 + 0.885125i
\(819\) −5.95130 1.59465i −0.207955 0.0557215i
\(820\) 0.667070 1.45020i 0.0232951 0.0506433i
\(821\) 24.3204 + 42.1241i 0.848787 + 1.47014i 0.882291 + 0.470704i \(0.156000\pi\)
−0.0335041 + 0.999439i \(0.510667\pi\)
\(822\) 1.14819i 0.0400478i
\(823\) 2.01820 + 7.53202i 0.0703500 + 0.262550i 0.992139 0.125143i \(-0.0399389\pi\)
−0.921789 + 0.387693i \(0.873272\pi\)
\(824\) 12.6761i 0.441594i
\(825\) 1.11255 + 0.0856707i 0.0387342 + 0.00298267i
\(826\) −2.73097 + 4.73018i −0.0950227 + 0.164584i
\(827\) −15.2166 + 8.78529i −0.529132 + 0.305495i −0.740663 0.671877i \(-0.765488\pi\)
0.211531 + 0.977371i \(0.432155\pi\)
\(828\) 27.3292i 0.949754i
\(829\) −30.2311 + 8.10040i −1.04997 + 0.281339i −0.742239 0.670135i \(-0.766236\pi\)
−0.307731 + 0.951474i \(0.599570\pi\)
\(830\) −0.703525 + 4.11508i −0.0244197 + 0.142836i
\(831\) −0.986372 + 0.264297i −0.0342169 + 0.00916838i
\(832\) 0.466433 + 0.807886i 0.0161707 + 0.0280084i
\(833\) −5.91558 10.2461i −0.204963 0.355006i
\(834\) 0.0628281 0.0168347i 0.00217556 0.000582939i
\(835\) −14.6968 20.7582i −0.508602 0.718369i
\(836\) 9.77742 2.61985i 0.338159 0.0906094i
\(837\) 2.28296i 0.0789106i
\(838\) −4.98984 + 2.88089i −0.172371 + 0.0995186i
\(839\) 5.11775 8.86421i 0.176684 0.306026i −0.764058 0.645147i \(-0.776796\pi\)
0.940743 + 0.339121i \(0.110129\pi\)
\(840\) −0.213140 + 0.463365i −0.00735403 + 0.0159876i
\(841\) 0.794105i 0.0273829i
\(842\) 8.06452 + 30.0972i 0.277922 + 1.03722i
\(843\) 0.643753i 0.0221720i
\(844\) −8.11162 14.0497i −0.279213 0.483612i
\(845\) 24.6411 + 11.3345i 0.847680 + 0.389919i
\(846\) −3.74332 1.00302i −0.128698 0.0344845i
\(847\) −3.61805 + 13.5027i −0.124318 + 0.463959i
\(848\) 1.72013 + 0.460907i 0.0590695 + 0.0158276i
\(849\) 0.243203 + 0.907645i 0.00834670 + 0.0311503i
\(850\) 21.2017 18.1699i 0.727212 0.623223i
\(851\) −54.4398 11.3472i −1.86617 0.388975i
\(852\) −0.880335 0.880335i −0.0301598 0.0301598i
\(853\) 20.2376 + 11.6842i 0.692921 + 0.400058i 0.804705 0.593674i \(-0.202323\pi\)
−0.111784 + 0.993732i \(0.535657\pi\)
\(854\) 7.94565 + 13.7623i 0.271895 + 0.470935i
\(855\) −19.9943 + 24.0818i −0.683790 + 0.823581i
\(856\) −1.32096 + 4.92988i −0.0451494 + 0.168500i
\(857\) 14.0296i 0.479241i −0.970867 0.239621i \(-0.922977\pi\)
0.970867 0.239621i \(-0.0770231\pi\)
\(858\) −0.201094 0.0538829i −0.00686522 0.00183953i
\(859\) −30.3591 + 30.3591i −1.03584 + 1.03584i −0.0365072 + 0.999333i \(0.511623\pi\)
−0.999333 + 0.0365072i \(0.988377\pi\)
\(860\) 3.27015 2.31526i 0.111511 0.0789496i
\(861\) −0.162831 −0.00554925
\(862\) 1.77671 1.77671i 0.0605151 0.0605151i
\(863\) −8.38726 31.3017i −0.285506 1.06552i −0.948469 0.316870i \(-0.897368\pi\)
0.662963 0.748652i \(-0.269299\pi\)
\(864\) −0.597262 0.160036i −0.0203193 0.00544453i
\(865\) 9.47111 + 25.6060i 0.322027 + 0.870630i
\(866\) −5.22537 19.5013i −0.177565 0.662682i
\(867\) −1.41467 + 0.379059i −0.0480447 + 0.0128735i
\(868\) 4.07869 7.06449i 0.138440 0.239784i
\(869\) −7.15685 + 26.7097i −0.242780 + 0.906066i
\(870\) 1.22078 0.113213i 0.0413883 0.00383828i
\(871\) −2.09689 7.82570i −0.0710504 0.265164i
\(872\) 0.305100 + 1.13865i 0.0103320 + 0.0385595i
\(873\) −19.7857 + 34.2699i −0.669646 + 1.15986i
\(874\) 30.2707 30.2707i 1.02392 1.02392i
\(875\) 24.6988 0.385871i 0.834970 0.0130448i
\(876\) −0.976550 0.563811i −0.0329946 0.0190494i
\(877\) −22.6932 22.6932i −0.766295 0.766295i 0.211157 0.977452i \(-0.432277\pi\)
−0.977452 + 0.211157i \(0.932277\pi\)
\(878\) −6.16421 6.16421i −0.208032 0.208032i
\(879\) 1.23651 2.14171i 0.0417066 0.0722379i
\(880\) 2.01996 4.39138i 0.0680929 0.148033i
\(881\) 21.5343 12.4329i 0.725511 0.418874i −0.0912669 0.995826i \(-0.529092\pi\)
0.816778 + 0.576953i \(0.195758\pi\)
\(882\) 6.33317 0.213249
\(883\) −19.6138 + 11.3240i −0.660057 + 0.381084i −0.792299 0.610133i \(-0.791116\pi\)
0.132242 + 0.991218i \(0.457783\pi\)
\(884\) −4.51162 + 2.60478i −0.151742 + 0.0876083i
\(885\) −0.0526988 0.568253i −0.00177145 0.0191016i
\(886\) 23.2608 6.23270i 0.781461 0.209392i
\(887\) 35.9300 35.9300i 1.20641 1.20641i 0.234228 0.972182i \(-0.424744\pi\)
0.972182 0.234228i \(-0.0752563\pi\)
\(888\) −0.282884 + 0.560651i −0.00949298 + 0.0188142i
\(889\) 44.6828i 1.49861i
\(890\) −12.2182 2.08885i −0.409553 0.0700184i
\(891\) −16.6693 + 9.62404i −0.558444 + 0.322418i
\(892\) −4.25277 1.13953i −0.142393 0.0381541i
\(893\) −3.03525 5.25721i −0.101571 0.175926i
\(894\) 0.880419 0.880419i 0.0294456 0.0294456i
\(895\) −9.29875 + 11.1997i −0.310823 + 0.374366i
\(896\) 1.56228 + 1.56228i 0.0521920 + 0.0521920i
\(897\) −0.850464 + 0.227881i −0.0283962 + 0.00760873i
\(898\) 0.560928 0.560928i 0.0187184 0.0187184i
\(899\) −19.6086 −0.653984
\(900\) 2.74862 + 14.6918i 0.0916208 + 0.489727i
\(901\) −2.57392 + 9.60601i −0.0857498 + 0.320023i
\(902\) 1.54317 0.0513820
\(903\) −0.353962 0.204360i −0.0117791 0.00680068i
\(904\) 11.9875 + 6.92097i 0.398697 + 0.230188i
\(905\) −43.2256 + 30.6036i −1.43687 + 1.01730i
\(906\) 1.37860 + 0.369396i 0.0458011 + 0.0122724i
\(907\) 17.2294 9.94741i 0.572093 0.330298i −0.185892 0.982570i \(-0.559517\pi\)
0.757985 + 0.652272i \(0.226184\pi\)
\(908\) 18.5445 + 10.7067i 0.615421 + 0.355314i
\(909\) 16.2862 28.2084i 0.540178 0.935615i
\(910\) −4.54278 0.776646i −0.150592 0.0257456i
\(911\) 18.0504 + 18.0504i 0.598036 + 0.598036i 0.939789 0.341754i \(-0.111021\pi\)
−0.341754 + 0.939789i \(0.611021\pi\)
\(912\) −0.241713 0.418658i −0.00800390 0.0138632i
\(913\) −3.89839 + 1.04457i −0.129018 + 0.0345703i
\(914\) 28.4260i 0.940249i
\(915\) −1.50847 0.693871i −0.0498685 0.0229387i
\(916\) 13.3473 + 7.70608i 0.441008 + 0.254616i
\(917\) −30.5764 −1.00972
\(918\) 0.893715 3.33539i 0.0294970 0.110084i
\(919\) −7.54653 7.54653i −0.248937 0.248937i 0.571597 0.820534i \(-0.306324\pi\)
−0.820534 + 0.571597i \(0.806324\pi\)
\(920\) −1.88771 20.3552i −0.0622359 0.671092i
\(921\) −0.375056 0.649616i −0.0123585 0.0214056i
\(922\) −2.45774 + 9.17243i −0.0809415 + 0.302078i
\(923\) 5.62484 9.74252i 0.185144 0.320679i
\(924\) −0.493069 −0.0162208
\(925\) 30.4074 + 0.624814i 0.999789 + 0.0205438i
\(926\) 13.7904 0.453179
\(927\) 18.9466 32.8165i 0.622289 1.07784i
\(928\) 1.37457 5.12996i 0.0451224 0.168399i
\(929\) −7.75558 13.4331i −0.254452 0.440724i 0.710294 0.703905i \(-0.248562\pi\)
−0.964747 + 0.263180i \(0.915229\pi\)
\(930\) 0.0787052 + 0.848681i 0.00258084 + 0.0278294i
\(931\) 7.01484 + 7.01484i 0.229902 + 0.229902i
\(932\) −2.03992 + 7.61309i −0.0668198 + 0.249375i
\(933\) 0.854159 0.0279639
\(934\) 32.6607 + 18.8567i 1.06869 + 0.617009i
\(935\) 24.5235 + 11.2804i 0.802006 + 0.368909i
\(936\) 2.78866i 0.0911501i
\(937\) −47.6929 + 12.7793i −1.55806 + 0.417481i −0.932049 0.362333i \(-0.881980\pi\)
−0.626011 + 0.779814i \(0.715314\pi\)
\(938\) −9.59407 16.6174i −0.313258 0.542578i
\(939\) −2.26794 2.26794i −0.0740115 0.0740115i
\(940\) −2.85737 0.488504i −0.0931972 0.0159332i
\(941\) −4.30359 + 7.45404i −0.140293 + 0.242995i −0.927607 0.373558i \(-0.878138\pi\)
0.787314 + 0.616552i \(0.211471\pi\)
\(942\) −1.24108 0.716538i −0.0404366 0.0233461i
\(943\) 5.65200 3.26318i 0.184054 0.106264i
\(944\) −2.38791 0.639839i −0.0777199 0.0208250i
\(945\) 2.49317 1.76515i 0.0811027 0.0574204i
\(946\) 3.35455 + 1.93675i 0.109066 + 0.0629693i
\(947\) −7.35001 4.24353i −0.238843 0.137896i 0.375802 0.926700i \(-0.377367\pi\)
−0.614645 + 0.788804i \(0.710701\pi\)
\(948\) 1.32061 0.0428914
\(949\) 2.63717 9.84204i 0.0856061 0.319486i
\(950\) −13.2287 + 19.3176i −0.429195 + 0.626747i
\(951\) 1.24600 0.0404043
\(952\) −8.72449 + 8.72449i −0.282762 + 0.282762i
\(953\) 2.97497 0.797140i 0.0963687 0.0258219i −0.210312 0.977634i \(-0.567448\pi\)
0.306681 + 0.951812i \(0.400781\pi\)
\(954\) −3.76425 3.76425i −0.121872 0.121872i
\(955\) 31.9037 38.4259i 1.03238 1.24343i
\(956\) −9.96083 + 9.96083i −0.322156 + 0.322156i
\(957\) 0.592618 + 1.02644i 0.0191566 + 0.0331803i
\(958\) −3.51846 0.942768i −0.113676 0.0304594i
\(959\) 21.2802 12.2861i 0.687174 0.396740i
\(960\) −0.227547 0.0389020i −0.00734405 0.00125556i
\(961\) 17.3682i 0.560263i
\(962\) −5.55502 1.15786i −0.179101 0.0373309i
\(963\) 10.7883 10.7883i 0.347648 0.347648i
\(964\) −19.3455 + 5.18360i −0.623075 + 0.166953i
\(965\) 3.73132 + 40.2350i 0.120116 + 1.29521i
\(966\) −1.80591 + 1.04264i −0.0581042 + 0.0335465i
\(967\) −11.4999 + 6.63945i −0.369811 + 0.213510i −0.673376 0.739300i \(-0.735156\pi\)
0.303565 + 0.952811i \(0.401823\pi\)
\(968\) −6.32710 −0.203361
\(969\) 2.33798 1.34984i 0.0751069 0.0433630i
\(970\) −12.3696 + 26.8915i −0.397165 + 0.863434i
\(971\) 5.14679 8.91451i 0.165168 0.286080i −0.771547 0.636173i \(-0.780517\pi\)
0.936715 + 0.350093i \(0.113850\pi\)
\(972\) 1.96169 + 1.96169i 0.0629212 + 0.0629212i
\(973\) 0.984297 + 0.984297i 0.0315551 + 0.0315551i
\(974\) 1.01345 + 0.585117i 0.0324731 + 0.0187484i
\(975\) 0.434280 0.208041i 0.0139081 0.00666265i
\(976\) −5.08594 + 5.08594i −0.162797 + 0.162797i
\(977\) 0.595643 1.03168i 0.0190563 0.0330065i −0.856340 0.516412i \(-0.827267\pi\)
0.875396 + 0.483406i \(0.160600\pi\)
\(978\) 0.257964 + 0.962735i 0.00824878 + 0.0307849i
\(979\) −3.10146 11.5748i −0.0991230 0.369932i
\(980\) 4.71705 0.437451i 0.150681 0.0139739i
\(981\) 0.912048 3.40381i 0.0291195 0.108675i
\(982\) −8.94097 + 15.4862i −0.285318 + 0.494185i
\(983\) −22.6939 + 6.08082i −0.723825 + 0.193948i −0.601878 0.798588i \(-0.705580\pi\)
−0.121947 + 0.992537i \(0.538914\pi\)
\(984\) −0.0190748 0.0711880i −0.000608081 0.00226939i
\(985\) 14.4784 + 39.1437i 0.461320 + 1.24722i
\(986\) 28.6481 + 7.67623i 0.912341 + 0.244461i
\(987\) 0.0765330 + 0.285625i 0.00243607 + 0.00909154i
\(988\) 3.08881 3.08881i 0.0982683 0.0982683i
\(989\) 16.3818 0.520911
\(990\) −11.7930 + 8.34943i −0.374808 + 0.265362i
\(991\) −18.4697 + 18.4697i −0.586709 + 0.586709i −0.936739 0.350030i \(-0.886171\pi\)
0.350030 + 0.936739i \(0.386171\pi\)
\(992\) 3.56633 + 0.955594i 0.113231 + 0.0303401i
\(993\) 2.71598i 0.0861891i
\(994\) 6.89589 25.7358i 0.218724 0.816290i
\(995\) −2.83768 + 3.41780i −0.0899606 + 0.108352i
\(996\) 0.0963742 + 0.166925i 0.00305373 + 0.00528922i
\(997\) −34.8040 20.0941i −1.10225 0.636386i −0.165442 0.986220i \(-0.552905\pi\)
−0.936812 + 0.349833i \(0.886238\pi\)
\(998\) 3.94544 + 3.94544i 0.124891 + 0.124891i
\(999\) 3.14627 2.06091i 0.0995434 0.0652043i
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 370.2.q.f.97.5 32
5.3 odd 4 370.2.r.f.23.5 yes 32
37.29 odd 12 370.2.r.f.177.5 yes 32
185.103 even 12 inner 370.2.q.f.103.5 yes 32
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
370.2.q.f.97.5 32 1.1 even 1 trivial
370.2.q.f.103.5 yes 32 185.103 even 12 inner
370.2.r.f.23.5 yes 32 5.3 odd 4
370.2.r.f.177.5 yes 32 37.29 odd 12