Properties

Label 950.2.r.a.11.3
Level $950$
Weight $2$
Character 950.11
Analytic conductor $7.586$
Analytic rank $0$
Dimension $200$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [950,2,Mod(11,950)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(950, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([24, 20]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("950.11");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 950 = 2 \cdot 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 950.r (of order \(15\), degree \(8\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(7.58578819202\)
Analytic rank: \(0\)
Dimension: \(200\)
Relative dimension: \(25\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 11.3
Character \(\chi\) \(=\) 950.11
Dual form 950.2.r.a.691.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.104528 + 0.994522i) q^{2} +(-1.82987 - 2.03228i) q^{3} +(-0.978148 + 0.207912i) q^{4} +(-1.78813 + 1.34260i) q^{5} +(1.82987 - 2.03228i) q^{6} +1.23976 q^{7} +(-0.309017 - 0.951057i) q^{8} +(-0.468141 + 4.45407i) q^{9} +O(q^{10})\) \(q+(0.104528 + 0.994522i) q^{2} +(-1.82987 - 2.03228i) q^{3} +(-0.978148 + 0.207912i) q^{4} +(-1.78813 + 1.34260i) q^{5} +(1.82987 - 2.03228i) q^{6} +1.23976 q^{7} +(-0.309017 - 0.951057i) q^{8} +(-0.468141 + 4.45407i) q^{9} +(-1.52216 - 1.63800i) q^{10} +(3.00174 - 2.18089i) q^{11} +(2.21242 + 1.60742i) q^{12} +(-0.179770 + 1.71040i) q^{13} +(0.129590 + 1.23297i) q^{14} +(6.00060 + 1.17720i) q^{15} +(0.913545 - 0.406737i) q^{16} +(-0.807008 - 0.171535i) q^{17} -4.47860 q^{18} +(4.35061 - 0.268708i) q^{19} +(1.46992 - 1.68504i) q^{20} +(-2.26860 - 2.51953i) q^{21} +(2.48271 + 2.75733i) q^{22} +(-4.59849 - 2.04738i) q^{23} +(-1.36735 + 2.36832i) q^{24} +(1.39484 - 4.80150i) q^{25} -1.71982 q^{26} +(3.27129 - 2.37673i) q^{27} +(-1.21267 + 0.257760i) q^{28} +(-7.10108 + 1.50938i) q^{29} +(-0.543517 + 6.09078i) q^{30} +(-1.56682 - 4.82217i) q^{31} +(0.500000 + 0.866025i) q^{32} +(-9.92497 - 2.10962i) q^{33} +(0.0862398 - 0.820517i) q^{34} +(-2.21685 + 1.66450i) q^{35} +(-0.468141 - 4.45407i) q^{36} +(-4.56487 - 3.31657i) q^{37} +(0.721998 + 4.29869i) q^{38} +(3.80496 - 2.76447i) q^{39} +(1.82945 + 1.28573i) q^{40} +(-2.34090 + 1.04223i) q^{41} +(2.26860 - 2.51953i) q^{42} +(-4.78728 + 8.29182i) q^{43} +(-2.48271 + 2.75733i) q^{44} +(-5.14293 - 8.59299i) q^{45} +(1.55549 - 4.78731i) q^{46} +(-5.49020 + 1.16698i) q^{47} +(-2.49828 - 1.11230i) q^{48} -5.46300 q^{49} +(4.92100 + 0.885310i) q^{50} +(1.12812 + 1.95395i) q^{51} +(-0.179770 - 1.71040i) q^{52} +(-0.321526 + 0.0683425i) q^{53} +(2.70565 + 3.00493i) q^{54} +(-2.43944 + 7.92985i) q^{55} +(-0.383106 - 1.17908i) q^{56} +(-8.50715 - 8.34996i) q^{57} +(-2.24338 - 6.90441i) q^{58} +(8.51516 - 3.79119i) q^{59} +(-6.11423 + 0.0961204i) q^{60} +(0.424774 + 0.189122i) q^{61} +(4.63198 - 2.06229i) q^{62} +(-0.580381 + 5.52196i) q^{63} +(-0.809017 + 0.587785i) q^{64} +(-1.97493 - 3.29978i) q^{65} +(1.06062 - 10.0911i) q^{66} +(-5.32366 + 5.91252i) q^{67} +0.825037 q^{68} +(4.25380 + 13.0919i) q^{69} +(-1.88710 - 2.03072i) q^{70} +(-6.75973 - 7.50744i) q^{71} +(4.38073 - 0.931153i) q^{72} +(-0.988536 - 9.40529i) q^{73} +(2.82124 - 4.88654i) q^{74} +(-12.3104 + 5.95142i) q^{75} +(-4.19967 + 1.16738i) q^{76} +(3.72142 - 2.70377i) q^{77} +(3.14705 + 3.49515i) q^{78} +(1.04568 + 1.16134i) q^{79} +(-1.08746 + 1.95383i) q^{80} +(2.32598 + 0.494402i) q^{81} +(-1.28121 - 2.21913i) q^{82} +(-4.25037 - 13.0813i) q^{83} +(2.74286 + 1.99281i) q^{84} +(1.67334 - 0.776762i) q^{85} +(-8.74680 - 3.89433i) q^{86} +(16.0616 + 11.6694i) q^{87} +(-3.00174 - 2.18089i) q^{88} +(-6.89893 - 3.07160i) q^{89} +(8.00834 - 6.01297i) q^{90} +(-0.222871 + 2.12047i) q^{91} +(4.92367 + 1.04656i) q^{92} +(-6.93292 + 12.0082i) q^{93} +(-1.73447 - 5.33814i) q^{94} +(-7.41870 + 6.32162i) q^{95} +(0.845070 - 2.60086i) q^{96} +(1.44938 + 1.60970i) q^{97} +(-0.571039 - 5.43308i) q^{98} +(8.30858 + 14.3909i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 200 q - 25 q^{2} + 25 q^{4} + q^{5} - 36 q^{7} + 50 q^{8} + 37 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 200 q - 25 q^{2} + 25 q^{4} + q^{5} - 36 q^{7} + 50 q^{8} + 37 q^{9} + 4 q^{10} - 2 q^{11} + 8 q^{13} + 7 q^{14} + 10 q^{15} + 25 q^{16} - 13 q^{17} - 216 q^{18} - 36 q^{19} - 2 q^{20} + 4 q^{22} - 13 q^{23} + 33 q^{25} - 64 q^{26} - 2 q^{28} + 12 q^{29} - 20 q^{30} + 12 q^{31} + 100 q^{32} - 12 q^{33} + 8 q^{34} - 22 q^{35} + 37 q^{36} + 8 q^{37} + 18 q^{38} + 28 q^{39} - q^{40} + 2 q^{41} + 70 q^{43} - 4 q^{44} + 60 q^{45} + 24 q^{46} - 22 q^{47} + 156 q^{49} + 26 q^{50} - 42 q^{51} + 8 q^{52} - 18 q^{53} - 10 q^{55} - 4 q^{56} + 74 q^{57} + 24 q^{58} + 50 q^{59} + 12 q^{61} - 4 q^{62} - 45 q^{63} - 50 q^{64} + 120 q^{65} + 2 q^{66} - 18 q^{67} - 84 q^{68} + 4 q^{69} - 13 q^{70} + 19 q^{71} - 17 q^{72} - 24 q^{73} + 4 q^{74} - 136 q^{75} - 6 q^{76} - 12 q^{77} - 26 q^{78} - 8 q^{79} + q^{80} - 63 q^{81} + 28 q^{82} + 16 q^{83} - 20 q^{84} - 5 q^{85} + 20 q^{86} - 64 q^{87} + 2 q^{88} + 16 q^{89} - 65 q^{90} + 72 q^{91} + 12 q^{92} - 8 q^{93} - 44 q^{94} - 73 q^{95} - 11 q^{97} - 27 q^{98} + 16 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(401\)
\(\chi(n)\) \(e\left(\frac{4}{5}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.104528 + 0.994522i 0.0739128 + 0.703233i
\(3\) −1.82987 2.03228i −1.05648 1.17334i −0.984401 0.175939i \(-0.943704\pi\)
−0.0720768 0.997399i \(-0.522963\pi\)
\(4\) −0.978148 + 0.207912i −0.489074 + 0.103956i
\(5\) −1.78813 + 1.34260i −0.799678 + 0.600429i
\(6\) 1.82987 2.03228i 0.747043 0.829675i
\(7\) 1.23976 0.468584 0.234292 0.972166i \(-0.424723\pi\)
0.234292 + 0.972166i \(0.424723\pi\)
\(8\) −0.309017 0.951057i −0.109254 0.336249i
\(9\) −0.468141 + 4.45407i −0.156047 + 1.48469i
\(10\) −1.52216 1.63800i −0.481348 0.517981i
\(11\) 3.00174 2.18089i 0.905057 0.657563i −0.0347027 0.999398i \(-0.511048\pi\)
0.939760 + 0.341835i \(0.111048\pi\)
\(12\) 2.21242 + 1.60742i 0.638671 + 0.464022i
\(13\) −0.179770 + 1.71040i −0.0498592 + 0.474378i 0.940894 + 0.338701i \(0.109988\pi\)
−0.990753 + 0.135677i \(0.956679\pi\)
\(14\) 0.129590 + 1.23297i 0.0346343 + 0.329524i
\(15\) 6.00060 + 1.17720i 1.54935 + 0.303952i
\(16\) 0.913545 0.406737i 0.228386 0.101684i
\(17\) −0.807008 0.171535i −0.195728 0.0416033i 0.109004 0.994041i \(-0.465234\pi\)
−0.304733 + 0.952438i \(0.598567\pi\)
\(18\) −4.47860 −1.05562
\(19\) 4.35061 0.268708i 0.998098 0.0616458i
\(20\) 1.46992 1.68504i 0.328683 0.376785i
\(21\) −2.26860 2.51953i −0.495049 0.549807i
\(22\) 2.48271 + 2.75733i 0.529315 + 0.587864i
\(23\) −4.59849 2.04738i −0.958851 0.426908i −0.133200 0.991089i \(-0.542525\pi\)
−0.825651 + 0.564181i \(0.809192\pi\)
\(24\) −1.36735 + 2.36832i −0.279109 + 0.483432i
\(25\) 1.39484 4.80150i 0.278969 0.960300i
\(26\) −1.71982 −0.337284
\(27\) 3.27129 2.37673i 0.629559 0.457402i
\(28\) −1.21267 + 0.257760i −0.229172 + 0.0487120i
\(29\) −7.10108 + 1.50938i −1.31864 + 0.280285i −0.812901 0.582402i \(-0.802113\pi\)
−0.505737 + 0.862688i \(0.668779\pi\)
\(30\) −0.543517 + 6.09078i −0.0992321 + 1.11202i
\(31\) −1.56682 4.82217i −0.281409 0.866087i −0.987452 0.157918i \(-0.949522\pi\)
0.706043 0.708169i \(-0.250478\pi\)
\(32\) 0.500000 + 0.866025i 0.0883883 + 0.153093i
\(33\) −9.92497 2.10962i −1.72772 0.367237i
\(34\) 0.0862398 0.820517i 0.0147900 0.140718i
\(35\) −2.21685 + 1.66450i −0.374716 + 0.281352i
\(36\) −0.468141 4.45407i −0.0780235 0.742344i
\(37\) −4.56487 3.31657i −0.750459 0.545241i 0.145510 0.989357i \(-0.453518\pi\)
−0.895969 + 0.444116i \(0.853518\pi\)
\(38\) 0.721998 + 4.29869i 0.117124 + 0.697339i
\(39\) 3.80496 2.76447i 0.609281 0.442669i
\(40\) 1.82945 + 1.28573i 0.289262 + 0.203292i
\(41\) −2.34090 + 1.04223i −0.365586 + 0.162770i −0.581304 0.813686i \(-0.697457\pi\)
0.215718 + 0.976456i \(0.430791\pi\)
\(42\) 2.26860 2.51953i 0.350052 0.388772i
\(43\) −4.78728 + 8.29182i −0.730054 + 1.26449i 0.226806 + 0.973940i \(0.427172\pi\)
−0.956860 + 0.290550i \(0.906162\pi\)
\(44\) −2.48271 + 2.75733i −0.374282 + 0.415683i
\(45\) −5.14293 8.59299i −0.766663 1.28097i
\(46\) 1.55549 4.78731i 0.229345 0.705850i
\(47\) −5.49020 + 1.16698i −0.800828 + 0.170221i −0.590107 0.807325i \(-0.700914\pi\)
−0.210721 + 0.977546i \(0.567581\pi\)
\(48\) −2.49828 1.11230i −0.360595 0.160547i
\(49\) −5.46300 −0.780429
\(50\) 4.92100 + 0.885310i 0.695934 + 0.125202i
\(51\) 1.12812 + 1.95395i 0.157968 + 0.273608i
\(52\) −0.179770 1.71040i −0.0249296 0.237189i
\(53\) −0.321526 + 0.0683425i −0.0441650 + 0.00938756i −0.229941 0.973205i \(-0.573853\pi\)
0.185776 + 0.982592i \(0.440520\pi\)
\(54\) 2.70565 + 3.00493i 0.368192 + 0.408919i
\(55\) −2.43944 + 7.92985i −0.328934 + 1.06926i
\(56\) −0.383106 1.17908i −0.0511947 0.157561i
\(57\) −8.50715 8.34996i −1.12680 1.10598i
\(58\) −2.24338 6.90441i −0.294570 0.906593i
\(59\) 8.51516 3.79119i 1.10858 0.493571i 0.230977 0.972959i \(-0.425808\pi\)
0.877603 + 0.479388i \(0.159141\pi\)
\(60\) −6.11423 + 0.0961204i −0.789343 + 0.0124091i
\(61\) 0.424774 + 0.189122i 0.0543868 + 0.0242146i 0.433750 0.901033i \(-0.357190\pi\)
−0.379363 + 0.925248i \(0.623857\pi\)
\(62\) 4.63198 2.06229i 0.588261 0.261911i
\(63\) −0.580381 + 5.52196i −0.0731212 + 0.695701i
\(64\) −0.809017 + 0.587785i −0.101127 + 0.0734732i
\(65\) −1.97493 3.29978i −0.244959 0.409287i
\(66\) 1.06062 10.0911i 0.130553 1.24213i
\(67\) −5.32366 + 5.91252i −0.650389 + 0.722330i −0.974674 0.223629i \(-0.928209\pi\)
0.324286 + 0.945959i \(0.394876\pi\)
\(68\) 0.825037 0.100050
\(69\) 4.25380 + 13.0919i 0.512098 + 1.57607i
\(70\) −1.88710 2.03072i −0.225552 0.242717i
\(71\) −6.75973 7.50744i −0.802233 0.890970i 0.193701 0.981061i \(-0.437951\pi\)
−0.995934 + 0.0900909i \(0.971284\pi\)
\(72\) 4.38073 0.931153i 0.516274 0.109737i
\(73\) −0.988536 9.40529i −0.115699 1.10081i −0.886180 0.463342i \(-0.846650\pi\)
0.770480 0.637464i \(-0.220017\pi\)
\(74\) 2.82124 4.88654i 0.327963 0.568048i
\(75\) −12.3104 + 5.95142i −1.42148 + 0.687211i
\(76\) −4.19967 + 1.16738i −0.481735 + 0.133907i
\(77\) 3.72142 2.70377i 0.424095 0.308123i
\(78\) 3.14705 + 3.49515i 0.356333 + 0.395748i
\(79\) 1.04568 + 1.16134i 0.117648 + 0.130661i 0.799091 0.601209i \(-0.205314\pi\)
−0.681444 + 0.731870i \(0.738648\pi\)
\(80\) −1.08746 + 1.95383i −0.121581 + 0.218444i
\(81\) 2.32598 + 0.494402i 0.258442 + 0.0549335i
\(82\) −1.28121 2.21913i −0.141486 0.245062i
\(83\) −4.25037 13.0813i −0.466539 1.43586i −0.857036 0.515256i \(-0.827697\pi\)
0.390497 0.920604i \(-0.372303\pi\)
\(84\) 2.74286 + 1.99281i 0.299271 + 0.217433i
\(85\) 1.67334 0.776762i 0.181499 0.0842517i
\(86\) −8.74680 3.89433i −0.943192 0.419936i
\(87\) 16.0616 + 11.6694i 1.72198 + 1.25109i
\(88\) −3.00174 2.18089i −0.319986 0.232483i
\(89\) −6.89893 3.07160i −0.731285 0.325589i 0.00709430 0.999975i \(-0.497742\pi\)
−0.738379 + 0.674386i \(0.764408\pi\)
\(90\) 8.00834 6.01297i 0.844153 0.633823i
\(91\) −0.222871 + 2.12047i −0.0233632 + 0.222286i
\(92\) 4.92367 + 1.04656i 0.513329 + 0.109111i
\(93\) −6.93292 + 12.0082i −0.718910 + 1.24519i
\(94\) −1.73447 5.33814i −0.178897 0.550587i
\(95\) −7.41870 + 6.32162i −0.761143 + 0.648584i
\(96\) 0.845070 2.60086i 0.0862496 0.265449i
\(97\) 1.44938 + 1.60970i 0.147163 + 0.163441i 0.812219 0.583352i \(-0.198259\pi\)
−0.665057 + 0.746793i \(0.731593\pi\)
\(98\) −0.571039 5.43308i −0.0576837 0.548824i
\(99\) 8.30858 + 14.3909i 0.835044 + 1.44634i
\(100\) −0.366076 + 4.98658i −0.0366076 + 0.498658i
\(101\) −4.14466 7.17877i −0.412409 0.714314i 0.582743 0.812656i \(-0.301979\pi\)
−0.995153 + 0.0983424i \(0.968646\pi\)
\(102\) −1.82533 + 1.32618i −0.180734 + 0.131311i
\(103\) 1.92686 5.93028i 0.189860 0.584328i −0.810139 0.586238i \(-0.800608\pi\)
0.999998 + 0.00191072i \(0.000608202\pi\)
\(104\) 1.68223 0.357570i 0.164957 0.0350626i
\(105\) 7.43928 + 1.45944i 0.726000 + 0.142427i
\(106\) −0.101577 0.312621i −0.00986600 0.0303644i
\(107\) −7.51591 −0.726591 −0.363295 0.931674i \(-0.618348\pi\)
−0.363295 + 0.931674i \(0.618348\pi\)
\(108\) −2.70565 + 3.00493i −0.260351 + 0.289150i
\(109\) 9.42323 4.19549i 0.902582 0.401855i 0.0976490 0.995221i \(-0.468868\pi\)
0.804933 + 0.593365i \(0.202201\pi\)
\(110\) −8.14140 1.59718i −0.776252 0.152285i
\(111\) 1.61293 + 15.3460i 0.153092 + 1.45658i
\(112\) 1.13257 0.504255i 0.107018 0.0476476i
\(113\) −9.75319 7.08611i −0.917503 0.666605i 0.0253984 0.999677i \(-0.491915\pi\)
−0.942901 + 0.333073i \(0.891915\pi\)
\(114\) 7.41497 9.33336i 0.694476 0.874149i
\(115\) 10.9715 2.51295i 1.02310 0.234334i
\(116\) 6.63209 2.95280i 0.615774 0.274160i
\(117\) −7.53406 1.60141i −0.696524 0.148051i
\(118\) 4.66050 + 8.07223i 0.429034 + 0.743109i
\(119\) −1.00049 0.212661i −0.0917151 0.0194946i
\(120\) −0.734705 6.07068i −0.0670690 0.554175i
\(121\) 0.854953 2.63128i 0.0777230 0.239207i
\(122\) −0.143685 + 0.442216i −0.0130086 + 0.0400364i
\(123\) 6.40165 + 2.85020i 0.577218 + 0.256994i
\(124\) 2.53516 + 4.39103i 0.227664 + 0.394326i
\(125\) 3.95233 + 10.4584i 0.353507 + 0.935432i
\(126\) −5.55237 −0.494645
\(127\) −14.7201 6.55382i −1.30620 0.581558i −0.368701 0.929548i \(-0.620198\pi\)
−0.937498 + 0.347990i \(0.886864\pi\)
\(128\) −0.669131 0.743145i −0.0591433 0.0656853i
\(129\) 25.6114 5.44387i 2.25496 0.479306i
\(130\) 3.07526 2.30903i 0.269718 0.202515i
\(131\) 2.71719 + 0.577557i 0.237402 + 0.0504614i 0.325076 0.945688i \(-0.394610\pi\)
−0.0876740 + 0.996149i \(0.527943\pi\)
\(132\) 10.1467 0.883157
\(133\) 5.39370 0.333132i 0.467693 0.0288862i
\(134\) −6.43661 4.67647i −0.556038 0.403985i
\(135\) −2.65850 + 8.64194i −0.228807 + 0.743780i
\(136\) 0.0862398 + 0.820517i 0.00739500 + 0.0703588i
\(137\) −0.893662 + 8.50262i −0.0763507 + 0.726428i 0.887648 + 0.460522i \(0.152338\pi\)
−0.963999 + 0.265906i \(0.914329\pi\)
\(138\) −12.5755 + 5.59897i −1.07050 + 0.476616i
\(139\) 21.4942 + 9.56985i 1.82312 + 0.811704i 0.938368 + 0.345637i \(0.112337\pi\)
0.884749 + 0.466068i \(0.154330\pi\)
\(140\) 1.82234 2.08903i 0.154016 0.176556i
\(141\) 12.4180 + 9.02220i 1.04578 + 0.759807i
\(142\) 6.75973 7.50744i 0.567264 0.630011i
\(143\) 3.19056 + 5.52621i 0.266808 + 0.462125i
\(144\) 1.38396 + 4.25940i 0.115330 + 0.354950i
\(145\) 10.6712 12.2329i 0.886194 1.01589i
\(146\) 9.25044 1.96624i 0.765572 0.162727i
\(147\) 9.99660 + 11.1024i 0.824506 + 0.915707i
\(148\) 5.15467 + 2.29501i 0.423711 + 0.188648i
\(149\) −6.89221 + 11.9377i −0.564632 + 0.977971i 0.432452 + 0.901657i \(0.357648\pi\)
−0.997084 + 0.0763137i \(0.975685\pi\)
\(150\) −7.20561 11.6209i −0.588335 0.948839i
\(151\) −7.44223 −0.605640 −0.302820 0.953048i \(-0.597928\pi\)
−0.302820 + 0.953048i \(0.597928\pi\)
\(152\) −1.59997 4.05464i −0.129775 0.328875i
\(153\) 1.14182 3.51416i 0.0923107 0.284103i
\(154\) 3.07795 + 3.41841i 0.248029 + 0.275464i
\(155\) 9.27593 + 6.51907i 0.745060 + 0.523624i
\(156\) −3.14705 + 3.49515i −0.251965 + 0.279836i
\(157\) 3.13902 5.43694i 0.250521 0.433915i −0.713148 0.701013i \(-0.752731\pi\)
0.963669 + 0.267098i \(0.0860647\pi\)
\(158\) −1.04568 + 1.16134i −0.0831895 + 0.0923913i
\(159\) 0.727243 + 0.528373i 0.0576741 + 0.0419027i
\(160\) −2.05679 0.877269i −0.162604 0.0693542i
\(161\) −5.70101 2.53825i −0.449302 0.200042i
\(162\) −0.248563 + 2.36491i −0.0195289 + 0.185805i
\(163\) 14.4611 + 10.5066i 1.13268 + 0.822939i 0.986082 0.166257i \(-0.0531682\pi\)
0.146596 + 0.989196i \(0.453168\pi\)
\(164\) 2.07305 1.50616i 0.161878 0.117611i
\(165\) 20.5796 9.55300i 1.60212 0.743700i
\(166\) 12.5654 5.59446i 0.975261 0.434214i
\(167\) −14.2757 + 15.8548i −1.10469 + 1.22688i −0.132875 + 0.991133i \(0.542421\pi\)
−0.971814 + 0.235748i \(0.924246\pi\)
\(168\) −1.69518 + 2.93614i −0.130786 + 0.226528i
\(169\) 9.82278 + 2.08790i 0.755599 + 0.160607i
\(170\) 0.947419 + 1.58298i 0.0726637 + 0.121409i
\(171\) −0.839856 + 19.5037i −0.0642254 + 1.49148i
\(172\) 2.95870 9.10595i 0.225599 0.694322i
\(173\) −2.03964 19.4059i −0.155071 1.47540i −0.744523 0.667597i \(-0.767323\pi\)
0.589452 0.807804i \(-0.299344\pi\)
\(174\) −9.92659 + 17.1934i −0.752533 + 1.30343i
\(175\) 1.72927 5.95269i 0.130720 0.449981i
\(176\) 1.85517 3.21326i 0.139839 0.242208i
\(177\) −23.2864 10.3678i −1.75032 0.779291i
\(178\) 2.33364 7.18220i 0.174914 0.538329i
\(179\) −0.402601 + 1.23908i −0.0300918 + 0.0926131i −0.964974 0.262344i \(-0.915505\pi\)
0.934883 + 0.354957i \(0.115505\pi\)
\(180\) 6.81713 + 7.33594i 0.508119 + 0.546789i
\(181\) −2.99339 + 3.32449i −0.222497 + 0.247108i −0.844050 0.536264i \(-0.819835\pi\)
0.621554 + 0.783372i \(0.286502\pi\)
\(182\) −2.13215 −0.158046
\(183\) −0.392935 1.20933i −0.0290466 0.0893962i
\(184\) −0.526162 + 5.00610i −0.0387892 + 0.369054i
\(185\) 12.6154 0.198324i 0.927504 0.0145811i
\(186\) −12.6671 5.63975i −0.928795 0.413526i
\(187\) −2.79652 + 1.24509i −0.204502 + 0.0910501i
\(188\) 5.12760 2.28295i 0.373969 0.166502i
\(189\) 4.05560 2.94657i 0.295001 0.214331i
\(190\) −7.06245 6.71727i −0.512364 0.487322i
\(191\) −0.158793 0.115370i −0.0114899 0.00834789i 0.582025 0.813171i \(-0.302260\pi\)
−0.593515 + 0.804823i \(0.702260\pi\)
\(192\) 2.67494 + 0.568577i 0.193047 + 0.0410335i
\(193\) −5.01077 + 8.67890i −0.360683 + 0.624721i −0.988073 0.153984i \(-0.950790\pi\)
0.627391 + 0.778705i \(0.284123\pi\)
\(194\) −1.44938 + 1.60970i −0.104060 + 0.115570i
\(195\) −3.09220 + 10.0518i −0.221437 + 0.719823i
\(196\) 5.34362 1.13582i 0.381687 0.0811302i
\(197\) 1.56316 4.81092i 0.111371 0.342764i −0.879802 0.475340i \(-0.842325\pi\)
0.991173 + 0.132576i \(0.0423250\pi\)
\(198\) −13.4436 + 9.76733i −0.955393 + 0.694134i
\(199\) −8.71003 15.0862i −0.617438 1.06943i −0.989952 0.141407i \(-0.954837\pi\)
0.372514 0.928027i \(-0.378496\pi\)
\(200\) −4.99753 + 0.157169i −0.353379 + 0.0111135i
\(201\) 21.7575 1.53466
\(202\) 6.70620 4.87234i 0.471847 0.342817i
\(203\) −8.80361 + 1.87127i −0.617893 + 0.131337i
\(204\) −1.50971 1.67671i −0.105701 0.117393i
\(205\) 2.78653 5.00654i 0.194620 0.349672i
\(206\) 6.09920 + 1.29643i 0.424952 + 0.0903263i
\(207\) 11.2719 19.5235i 0.783451 1.35698i
\(208\) 0.531453 + 1.63564i 0.0368496 + 0.113411i
\(209\) 12.4734 10.2948i 0.862800 0.712105i
\(210\) −0.673829 + 7.55108i −0.0464986 + 0.521074i
\(211\) 1.60484 + 15.2690i 0.110482 + 1.05116i 0.899538 + 0.436842i \(0.143903\pi\)
−0.789057 + 0.614320i \(0.789430\pi\)
\(212\) 0.300291 0.133698i 0.0206241 0.00918242i
\(213\) −2.88778 + 27.4753i −0.197867 + 1.88258i
\(214\) −0.785627 7.47474i −0.0537043 0.510963i
\(215\) −2.57230 21.2543i −0.175429 1.44953i
\(216\) −3.27129 2.37673i −0.222583 0.161716i
\(217\) −1.94247 5.97832i −0.131864 0.405835i
\(218\) 5.15751 + 8.93306i 0.349310 + 0.605023i
\(219\) −17.3053 + 19.2195i −1.16938 + 1.29873i
\(220\) 0.737424 8.26375i 0.0497171 0.557142i
\(221\) 0.438468 1.34947i 0.0294946 0.0907749i
\(222\) −15.0933 + 3.20819i −1.01300 + 0.215319i
\(223\) −2.40682 22.8994i −0.161173 1.53346i −0.713990 0.700155i \(-0.753114\pi\)
0.552818 0.833302i \(-0.313553\pi\)
\(224\) 0.619878 + 1.07366i 0.0414174 + 0.0717370i
\(225\) 20.7332 + 8.46051i 1.38221 + 0.564034i
\(226\) 6.02780 10.4405i 0.400963 0.694489i
\(227\) −9.57889 + 6.95947i −0.635773 + 0.461916i −0.858396 0.512988i \(-0.828538\pi\)
0.222622 + 0.974905i \(0.428538\pi\)
\(228\) 10.0573 + 6.39875i 0.666061 + 0.423768i
\(229\) −5.19570 + 15.9907i −0.343341 + 1.05670i 0.619125 + 0.785293i \(0.287488\pi\)
−0.962466 + 0.271403i \(0.912512\pi\)
\(230\) 3.64602 + 10.6487i 0.240411 + 0.702158i
\(231\) −12.3046 2.61541i −0.809580 0.172082i
\(232\) 3.62986 + 6.28711i 0.238312 + 0.412769i
\(233\) 4.43271 + 0.942201i 0.290396 + 0.0617256i 0.350806 0.936448i \(-0.385908\pi\)
−0.0604101 + 0.998174i \(0.519241\pi\)
\(234\) 0.805117 7.66018i 0.0526322 0.500762i
\(235\) 8.25043 9.45786i 0.538198 0.616963i
\(236\) −7.54085 + 5.47875i −0.490868 + 0.356636i
\(237\) 0.446715 4.25021i 0.0290173 0.276081i
\(238\) 0.106916 1.01724i 0.00693036 0.0659380i
\(239\) −12.0020 + 8.71995i −0.776344 + 0.564047i −0.903879 0.427787i \(-0.859293\pi\)
0.127536 + 0.991834i \(0.459293\pi\)
\(240\) 5.96063 1.36524i 0.384757 0.0881258i
\(241\) 2.74403 26.1077i 0.176759 1.68175i −0.442662 0.896688i \(-0.645966\pi\)
0.619421 0.785059i \(-0.287367\pi\)
\(242\) 2.70623 + 0.575227i 0.173963 + 0.0369770i
\(243\) −9.31678 16.1371i −0.597672 1.03520i
\(244\) −0.454813 0.0966734i −0.0291164 0.00618888i
\(245\) 9.76858 7.33463i 0.624092 0.468593i
\(246\) −2.16543 + 6.66451i −0.138063 + 0.424914i
\(247\) −0.322511 + 7.48957i −0.0205209 + 0.476550i
\(248\) −4.10198 + 2.98026i −0.260476 + 0.189247i
\(249\) −18.8072 + 32.5751i −1.19186 + 2.06436i
\(250\) −9.98802 + 5.02388i −0.631698 + 0.317738i
\(251\) 2.04330 + 3.53909i 0.128972 + 0.223386i 0.923278 0.384131i \(-0.125499\pi\)
−0.794307 + 0.607517i \(0.792166\pi\)
\(252\) −0.580381 5.52196i −0.0365606 0.347851i
\(253\) −18.2685 + 3.88310i −1.14853 + 0.244128i
\(254\) 4.97925 15.3245i 0.312426 0.961547i
\(255\) −4.64060 1.97932i −0.290606 0.123950i
\(256\) 0.669131 0.743145i 0.0418207 0.0464466i
\(257\) −8.05646 13.9542i −0.502548 0.870439i −0.999996 0.00294486i \(-0.999063\pi\)
0.497448 0.867494i \(-0.334271\pi\)
\(258\) 8.09117 + 24.9021i 0.503734 + 1.55034i
\(259\) −5.65932 4.11174i −0.351653 0.255491i
\(260\) 2.61783 + 2.81706i 0.162351 + 0.174706i
\(261\) −3.39858 32.3353i −0.210367 2.00150i
\(262\) −0.290369 + 2.76268i −0.0179391 + 0.170679i
\(263\) −5.55499 + 2.47324i −0.342535 + 0.152507i −0.570793 0.821094i \(-0.693364\pi\)
0.228257 + 0.973601i \(0.426697\pi\)
\(264\) 1.06062 + 10.0911i 0.0652766 + 0.621065i
\(265\) 0.483175 0.553887i 0.0296812 0.0340250i
\(266\) 0.895102 + 5.32933i 0.0548822 + 0.326762i
\(267\) 6.38181 + 19.6412i 0.390560 + 1.20202i
\(268\) 3.97804 6.89017i 0.242998 0.420884i
\(269\) −11.0994 2.35924i −0.676740 0.143845i −0.143295 0.989680i \(-0.545770\pi\)
−0.533445 + 0.845835i \(0.679103\pi\)
\(270\) −8.87249 1.74061i −0.539962 0.105930i
\(271\) 11.4123 + 12.6746i 0.693245 + 0.769927i 0.982286 0.187390i \(-0.0600028\pi\)
−0.289040 + 0.957317i \(0.593336\pi\)
\(272\) −0.807008 + 0.171535i −0.0489320 + 0.0104008i
\(273\) 4.71722 3.42726i 0.285499 0.207427i
\(274\) −8.54946 −0.516492
\(275\) −6.28458 17.4548i −0.378975 1.05257i
\(276\) −6.88280 11.9214i −0.414296 0.717581i
\(277\) 24.7402 17.9748i 1.48649 1.08000i 0.511103 0.859519i \(-0.329237\pi\)
0.975391 0.220482i \(-0.0707631\pi\)
\(278\) −7.27067 + 22.3768i −0.436066 + 1.34207i
\(279\) 22.2117 4.72125i 1.32978 0.282654i
\(280\) 2.26808 + 1.59399i 0.135544 + 0.0952593i
\(281\) −7.19924 + 7.99556i −0.429471 + 0.476975i −0.918573 0.395251i \(-0.870658\pi\)
0.489103 + 0.872226i \(0.337324\pi\)
\(282\) −7.67475 + 13.2930i −0.457024 + 0.791590i
\(283\) 29.3443 + 6.23732i 1.74434 + 0.370770i 0.966294 0.257442i \(-0.0828796\pi\)
0.778042 + 0.628212i \(0.216213\pi\)
\(284\) 8.17290 + 5.93796i 0.484973 + 0.352353i
\(285\) 26.4226 + 3.50912i 1.56514 + 0.207863i
\(286\) −5.16244 + 3.75073i −0.305261 + 0.221785i
\(287\) −2.90214 + 1.29212i −0.171308 + 0.0762712i
\(288\) −4.09140 + 1.82161i −0.241088 + 0.107339i
\(289\) −14.9084 6.63766i −0.876967 0.390451i
\(290\) 13.2813 + 9.33404i 0.779906 + 0.548114i
\(291\) 0.619180 5.89110i 0.0362970 0.345343i
\(292\) 2.92240 + 8.99423i 0.171021 + 0.526348i
\(293\) 7.51394 0.438969 0.219485 0.975616i \(-0.429562\pi\)
0.219485 + 0.975616i \(0.429562\pi\)
\(294\) −9.99660 + 11.1024i −0.583014 + 0.647502i
\(295\) −10.1362 + 18.2116i −0.590152 + 1.06032i
\(296\) −1.74362 + 5.36632i −0.101346 + 0.311911i
\(297\) 4.63616 14.2686i 0.269017 0.827949i
\(298\) −12.5927 5.60663i −0.729475 0.324783i
\(299\) 4.32850 7.49718i 0.250323 0.433573i
\(300\) 10.8040 8.38084i 0.623769 0.483868i
\(301\) −5.93506 + 10.2798i −0.342091 + 0.592520i
\(302\) −0.777925 7.40147i −0.0447646 0.425906i
\(303\) −7.00506 + 21.5593i −0.402430 + 1.23855i
\(304\) 3.86519 2.01503i 0.221684 0.115570i
\(305\) −1.01347 + 0.232128i −0.0580310 + 0.0132916i
\(306\) 3.61426 + 0.768236i 0.206614 + 0.0439171i
\(307\) −3.68386 + 6.38064i −0.210249 + 0.364162i −0.951792 0.306743i \(-0.900761\pi\)
0.741543 + 0.670905i \(0.234094\pi\)
\(308\) −3.07795 + 3.41841i −0.175383 + 0.194782i
\(309\) −15.5779 + 6.93573i −0.886196 + 0.394560i
\(310\) −5.51376 + 9.90654i −0.313161 + 0.562654i
\(311\) 1.04383 0.758384i 0.0591900 0.0430040i −0.557797 0.829978i \(-0.688353\pi\)
0.616987 + 0.786973i \(0.288353\pi\)
\(312\) −3.80496 2.76447i −0.215413 0.156507i
\(313\) −2.08198 + 19.8087i −0.117680 + 1.11965i 0.763150 + 0.646221i \(0.223652\pi\)
−0.880831 + 0.473432i \(0.843015\pi\)
\(314\) 5.73528 + 2.55351i 0.323660 + 0.144103i
\(315\) −6.37599 10.6532i −0.359246 0.600241i
\(316\) −1.26428 0.918554i −0.0711214 0.0516727i
\(317\) −19.5411 + 21.7026i −1.09754 + 1.21894i −0.123552 + 0.992338i \(0.539429\pi\)
−0.973987 + 0.226603i \(0.927238\pi\)
\(318\) −0.449461 + 0.778489i −0.0252045 + 0.0436555i
\(319\) −18.0238 + 20.0174i −1.00914 + 1.12076i
\(320\) 0.657470 2.13723i 0.0367537 0.119475i
\(321\) 13.7532 + 15.2744i 0.767627 + 0.852536i
\(322\) 1.92843 5.93510i 0.107467 0.330750i
\(323\) −3.55707 0.529431i −0.197921 0.0294583i
\(324\) −2.37794 −0.132108
\(325\) 7.96172 + 3.24890i 0.441636 + 0.180217i
\(326\) −8.93743 + 15.4801i −0.494999 + 0.857363i
\(327\) −25.7697 11.4734i −1.42507 0.634482i
\(328\) 1.71460 + 1.90426i 0.0946729 + 0.105145i
\(329\) −6.80651 + 1.44677i −0.375255 + 0.0797630i
\(330\) 11.6518 + 19.4683i 0.641411 + 1.07169i
\(331\) 4.36345 + 13.4293i 0.239837 + 0.738142i 0.996443 + 0.0842710i \(0.0268562\pi\)
−0.756606 + 0.653871i \(0.773144\pi\)
\(332\) 6.87725 + 11.9117i 0.377438 + 0.653742i
\(333\) 16.9092 18.7796i 0.926620 1.02912i
\(334\) −17.2602 12.5402i −0.944434 0.686172i
\(335\) 1.58126 17.7199i 0.0863933 0.968144i
\(336\) −3.09725 1.37899i −0.168969 0.0752299i
\(337\) −11.2629 + 5.01455i −0.613527 + 0.273160i −0.689883 0.723921i \(-0.742338\pi\)
0.0763561 + 0.997081i \(0.475671\pi\)
\(338\) −1.04970 + 9.98722i −0.0570961 + 0.543233i
\(339\) 3.44615 + 32.7879i 0.187169 + 1.78079i
\(340\) −1.47528 + 1.10770i −0.0800081 + 0.0600732i
\(341\) −15.2198 11.0578i −0.824197 0.598814i
\(342\) −19.4846 + 1.20344i −1.05361 + 0.0650743i
\(343\) −15.4511 −0.834281
\(344\) 9.36534 + 1.99066i 0.504945 + 0.107329i
\(345\) −25.1835 17.6988i −1.35583 0.952873i
\(346\) 19.0864 4.05693i 1.02609 0.218102i
\(347\) 2.85643 + 3.17239i 0.153341 + 0.170303i 0.814921 0.579572i \(-0.196780\pi\)
−0.661580 + 0.749875i \(0.730114\pi\)
\(348\) −18.1368 8.07502i −0.972234 0.432866i
\(349\) −33.4295 −1.78944 −0.894720 0.446628i \(-0.852625\pi\)
−0.894720 + 0.446628i \(0.852625\pi\)
\(350\) 6.10084 + 1.09757i 0.326104 + 0.0586676i
\(351\) 3.47707 + 6.02246i 0.185592 + 0.321455i
\(352\) 3.38957 + 1.50913i 0.180665 + 0.0804372i
\(353\) 7.86460 24.2047i 0.418590 1.28829i −0.490410 0.871492i \(-0.663153\pi\)
0.909000 0.416796i \(-0.136847\pi\)
\(354\) 7.87690 24.2426i 0.418652 1.28848i
\(355\) 22.1668 + 4.34869i 1.17649 + 0.230805i
\(356\) 7.38679 + 1.57011i 0.391499 + 0.0832157i
\(357\) 1.39859 + 2.42243i 0.0740212 + 0.128208i
\(358\) −1.27437 0.270877i −0.0673528 0.0143163i
\(359\) 15.8182 7.04272i 0.834853 0.371701i 0.0556333 0.998451i \(-0.482282\pi\)
0.779220 + 0.626751i \(0.215616\pi\)
\(360\) −6.58317 + 7.54660i −0.346963 + 0.397741i
\(361\) 18.8556 2.33809i 0.992400 0.123057i
\(362\) −3.61918 2.62949i −0.190220 0.138203i
\(363\) −6.91195 + 3.07740i −0.362783 + 0.161521i
\(364\) −0.222871 2.12047i −0.0116816 0.111143i
\(365\) 14.3952 + 15.4907i 0.753478 + 0.810821i
\(366\) 1.16163 0.517192i 0.0607195 0.0270340i
\(367\) 11.0715 12.2961i 0.577926 0.641852i −0.381314 0.924446i \(-0.624528\pi\)
0.959240 + 0.282594i \(0.0911949\pi\)
\(368\) −5.03367 −0.262398
\(369\) −3.54631 10.9144i −0.184613 0.568182i
\(370\) 1.51591 + 12.5256i 0.0788083 + 0.651174i
\(371\) −0.398614 + 0.0847281i −0.0206950 + 0.00439886i
\(372\) 4.28478 13.1872i 0.222156 0.683724i
\(373\) 3.12423 2.26988i 0.161766 0.117530i −0.503957 0.863729i \(-0.668123\pi\)
0.665723 + 0.746199i \(0.268123\pi\)
\(374\) −1.53059 2.65105i −0.0791448 0.137083i
\(375\) 14.0222 27.1699i 0.724105 1.40305i
\(376\) 2.80643 + 4.86087i 0.144730 + 0.250680i
\(377\) −1.30508 12.4170i −0.0672150 0.639508i
\(378\) 3.35435 + 3.72538i 0.172529 + 0.191613i
\(379\) 8.36352 25.7403i 0.429605 1.32219i −0.468910 0.883246i \(-0.655353\pi\)
0.898515 0.438943i \(-0.144647\pi\)
\(380\) 5.94225 7.72591i 0.304831 0.396331i
\(381\) 13.6168 + 41.9081i 0.697608 + 2.14702i
\(382\) 0.0981397 0.169983i 0.00502126 0.00869708i
\(383\) 6.70857 + 1.42595i 0.342792 + 0.0728627i 0.376091 0.926583i \(-0.377268\pi\)
−0.0332990 + 0.999445i \(0.510601\pi\)
\(384\) −0.285854 + 2.71972i −0.0145874 + 0.138790i
\(385\) −3.02431 + 9.83109i −0.154133 + 0.501039i
\(386\) −9.15513 4.07612i −0.465984 0.207469i
\(387\) −34.6912 25.2046i −1.76345 1.28122i
\(388\) −1.75239 1.27318i −0.0889639 0.0646361i
\(389\) 3.36002 + 1.49598i 0.170360 + 0.0758491i 0.490145 0.871641i \(-0.336944\pi\)
−0.319785 + 0.947490i \(0.603611\pi\)
\(390\) −10.3199 2.02457i −0.522570 0.102518i
\(391\) 3.35982 + 2.44105i 0.169913 + 0.123449i
\(392\) 1.68816 + 5.19562i 0.0852650 + 0.262419i
\(393\) −3.79836 6.57895i −0.191602 0.331864i
\(394\) 4.94796 + 1.05172i 0.249275 + 0.0529849i
\(395\) −3.42902 0.672707i −0.172533 0.0338475i
\(396\) −11.1191 12.3490i −0.558754 0.620559i
\(397\) −6.60146 7.33167i −0.331318 0.367966i 0.554351 0.832283i \(-0.312966\pi\)
−0.885669 + 0.464317i \(0.846300\pi\)
\(398\) 14.0931 10.2393i 0.706424 0.513247i
\(399\) −10.5468 10.3519i −0.528000 0.518244i
\(400\) −0.678692 4.95372i −0.0339346 0.247686i
\(401\) 3.01219 5.21727i 0.150422 0.260538i −0.780961 0.624580i \(-0.785270\pi\)
0.931383 + 0.364042i \(0.118604\pi\)
\(402\) 2.27428 + 21.6383i 0.113431 + 1.07922i
\(403\) 8.52948 1.81300i 0.424884 0.0903118i
\(404\) 5.54664 + 6.16017i 0.275956 + 0.306480i
\(405\) −4.82294 + 2.23880i −0.239654 + 0.111247i
\(406\) −2.78124 8.55979i −0.138031 0.424815i
\(407\) −20.9356 −1.03774
\(408\) 1.50971 1.67671i 0.0747419 0.0830093i
\(409\) −0.0889281 + 0.846094i −0.00439721 + 0.0418367i −0.996500 0.0835870i \(-0.973362\pi\)
0.992103 + 0.125424i \(0.0400290\pi\)
\(410\) 5.27039 + 2.24794i 0.260286 + 0.111018i
\(411\) 18.9150 13.7426i 0.933008 0.677870i
\(412\) −0.651783 + 6.20130i −0.0321111 + 0.305516i
\(413\) 10.5567 4.70016i 0.519463 0.231280i
\(414\) 20.5948 + 9.16939i 1.01218 + 0.450651i
\(415\) 25.1632 + 17.6846i 1.23521 + 0.868101i
\(416\) −1.57113 + 0.699513i −0.0770310 + 0.0342964i
\(417\) −19.8831 61.1939i −0.973680 2.99668i
\(418\) 11.5422 + 11.3289i 0.564548 + 0.554116i
\(419\) 2.07661 + 6.39113i 0.101449 + 0.312227i 0.988881 0.148712i \(-0.0475127\pi\)
−0.887432 + 0.460939i \(0.847513\pi\)
\(420\) −7.58015 + 0.119166i −0.369874 + 0.00581470i
\(421\) −12.1774 13.5244i −0.593491 0.659139i 0.369323 0.929301i \(-0.379589\pi\)
−0.962815 + 0.270162i \(0.912923\pi\)
\(422\) −15.0176 + 3.19209i −0.731046 + 0.155389i
\(423\) −2.62761 25.0000i −0.127759 1.21554i
\(424\) 0.164355 + 0.284671i 0.00798176 + 0.0138248i
\(425\) −1.94927 + 3.63558i −0.0945537 + 0.176352i
\(426\) −27.6267 −1.33852
\(427\) 0.526617 + 0.234465i 0.0254848 + 0.0113466i
\(428\) 7.35167 1.56265i 0.355356 0.0755334i
\(429\) 5.39249 16.5964i 0.260352 0.801281i
\(430\) 20.8690 4.77989i 1.00639 0.230507i
\(431\) 25.8442 28.7029i 1.24487 1.38257i 0.349691 0.936865i \(-0.386287\pi\)
0.895180 0.445704i \(-0.147047\pi\)
\(432\) 2.02177 3.50180i 0.0972723 0.168481i
\(433\) 15.0277 16.6899i 0.722184 0.802067i −0.264557 0.964370i \(-0.585226\pi\)
0.986741 + 0.162303i \(0.0518923\pi\)
\(434\) 5.74252 2.55674i 0.275650 0.122727i
\(435\) −44.3876 + 0.697808i −2.12822 + 0.0334573i
\(436\) −8.34502 + 6.06301i −0.399654 + 0.290366i
\(437\) −20.5564 7.67169i −0.983345 0.366987i
\(438\) −20.9231 15.2015i −0.999743 0.726356i
\(439\) −2.16894 20.6361i −0.103518 0.984906i −0.915798 0.401639i \(-0.868441\pi\)
0.812280 0.583267i \(-0.198226\pi\)
\(440\) 8.29557 0.130413i 0.395476 0.00621719i
\(441\) 2.55746 24.3326i 0.121784 1.15869i
\(442\) 1.38791 + 0.295008i 0.0660159 + 0.0140321i
\(443\) 2.61827 + 4.53498i 0.124398 + 0.215464i 0.921497 0.388384i \(-0.126967\pi\)
−0.797099 + 0.603848i \(0.793633\pi\)
\(444\) −4.76829 14.6753i −0.226293 0.696459i
\(445\) 16.4601 3.77007i 0.780285 0.178719i
\(446\) 22.5224 4.78728i 1.06647 0.226684i
\(447\) 36.8725 7.83750i 1.74401 0.370701i
\(448\) −1.00298 + 0.728711i −0.0473866 + 0.0344283i
\(449\) 13.9420 0.657962 0.328981 0.944337i \(-0.393295\pi\)
0.328981 + 0.944337i \(0.393295\pi\)
\(450\) −6.24695 + 21.5040i −0.294484 + 1.01371i
\(451\) −4.75375 + 8.23374i −0.223845 + 0.387712i
\(452\) 11.0133 + 4.90346i 0.518024 + 0.230639i
\(453\) 13.6183 + 15.1247i 0.639846 + 0.710621i
\(454\) −7.92262 8.79896i −0.371827 0.412955i
\(455\) −2.44843 4.09092i −0.114784 0.191785i
\(456\) −5.31242 + 10.6711i −0.248777 + 0.499718i
\(457\) 14.3816 0.672743 0.336371 0.941729i \(-0.390800\pi\)
0.336371 + 0.941729i \(0.390800\pi\)
\(458\) −16.4462 3.49575i −0.768481 0.163346i
\(459\) −3.04764 + 1.35690i −0.142252 + 0.0633346i
\(460\) −10.2093 + 4.73914i −0.476011 + 0.220964i
\(461\) −3.33075 31.6900i −0.155128 1.47595i −0.744249 0.667903i \(-0.767192\pi\)
0.589120 0.808045i \(-0.299474\pi\)
\(462\) 1.31491 12.5105i 0.0611751 0.582043i
\(463\) 9.60210 + 6.97633i 0.446247 + 0.324218i 0.788112 0.615531i \(-0.211059\pi\)
−0.341865 + 0.939749i \(0.611059\pi\)
\(464\) −5.87324 + 4.26716i −0.272658 + 0.198098i
\(465\) −3.72519 30.7804i −0.172752 1.42741i
\(466\) −0.473696 + 4.50691i −0.0219435 + 0.208779i
\(467\) 0.683935 + 2.10494i 0.0316487 + 0.0974048i 0.965633 0.259909i \(-0.0836926\pi\)
−0.933984 + 0.357314i \(0.883693\pi\)
\(468\) 7.70237 0.356042
\(469\) −6.60004 + 7.33009i −0.304762 + 0.338472i
\(470\) 10.2685 + 7.21661i 0.473649 + 0.332878i
\(471\) −16.7934 + 3.56955i −0.773799 + 0.164476i
\(472\) −6.23697 6.92686i −0.287080 0.318834i
\(473\) 3.71337 + 35.3304i 0.170741 + 1.62449i
\(474\) 4.27362 0.196294
\(475\) 4.77822 21.2643i 0.219240 0.975671i
\(476\) 1.02284 0.0468820
\(477\) −0.153882 1.46409i −0.00704579 0.0670362i
\(478\) −9.92673 11.0248i −0.454038 0.504260i
\(479\) 0.549702 0.116843i 0.0251165 0.00533868i −0.195336 0.980736i \(-0.562580\pi\)
0.220453 + 0.975398i \(0.429246\pi\)
\(480\) 1.98082 + 5.78527i 0.0904115 + 0.264060i
\(481\) 6.49327 7.21151i 0.296068 0.328817i
\(482\) 26.2515 1.19573
\(483\) 5.27368 + 16.2307i 0.239961 + 0.738524i
\(484\) −0.289198 + 2.75153i −0.0131453 + 0.125070i
\(485\) −4.75288 0.932421i −0.215817 0.0423390i
\(486\) 15.0749 10.9525i 0.683810 0.496817i
\(487\) −22.6548 16.4596i −1.02658 0.745858i −0.0589627 0.998260i \(-0.518779\pi\)
−0.967622 + 0.252403i \(0.918779\pi\)
\(488\) 0.0486030 0.462426i 0.00220015 0.0209331i
\(489\) −5.10961 48.6147i −0.231064 2.19843i
\(490\) 8.31555 + 8.94839i 0.375658 + 0.404247i
\(491\) −27.8339 + 12.3924i −1.25613 + 0.559263i −0.923429 0.383770i \(-0.874625\pi\)
−0.332697 + 0.943034i \(0.607959\pi\)
\(492\) −6.85435 1.45694i −0.309018 0.0656838i
\(493\) 5.98954 0.269755
\(494\) −7.48225 + 0.462128i −0.336642 + 0.0207921i
\(495\) −34.1781 14.5777i −1.53619 0.655220i
\(496\) −3.39271 3.76799i −0.152337 0.169188i
\(497\) −8.38043 9.30741i −0.375913 0.417494i
\(498\) −34.3625 15.2992i −1.53982 0.685573i
\(499\) −15.8357 + 27.4282i −0.708902 + 1.22786i 0.256362 + 0.966581i \(0.417476\pi\)
−0.965265 + 0.261274i \(0.915857\pi\)
\(500\) −6.04040 9.40817i −0.270135 0.420746i
\(501\) 58.3442 2.60663
\(502\) −3.30612 + 2.40204i −0.147560 + 0.107208i
\(503\) 28.6643 6.09279i 1.27808 0.271664i 0.481632 0.876373i \(-0.340044\pi\)
0.796446 + 0.604709i \(0.206711\pi\)
\(504\) 5.43104 1.15440i 0.241918 0.0514212i
\(505\) 17.0494 + 7.27197i 0.758690 + 0.323598i
\(506\) −5.77141 17.7626i −0.256571 0.789643i
\(507\) −13.7313 23.7832i −0.609827 1.05625i
\(508\) 15.7611 + 3.35012i 0.699284 + 0.148637i
\(509\) −3.46259 + 32.9444i −0.153477 + 1.46023i 0.598542 + 0.801092i \(0.295747\pi\)
−0.752019 + 0.659142i \(0.770920\pi\)
\(510\) 1.48340 4.82207i 0.0656862 0.213525i
\(511\) −1.22554 11.6603i −0.0542149 0.515820i
\(512\) 0.809017 + 0.587785i 0.0357538 + 0.0259767i
\(513\) 13.5934 11.2192i 0.600165 0.495341i
\(514\) 13.0356 9.47094i 0.574977 0.417745i
\(515\) 4.51651 + 13.1911i 0.199021 + 0.581271i
\(516\) −23.9199 + 10.6498i −1.05301 + 0.468832i
\(517\) −13.9351 + 15.4765i −0.612864 + 0.680654i
\(518\) 3.49765 6.05812i 0.153678 0.266178i
\(519\) −35.7059 + 39.6554i −1.56731 + 1.74068i
\(520\) −2.52799 + 2.89795i −0.110860 + 0.127084i
\(521\) −2.65621 + 8.17497i −0.116371 + 0.358152i −0.992230 0.124414i \(-0.960295\pi\)
0.875860 + 0.482566i \(0.160295\pi\)
\(522\) 31.8029 6.75992i 1.39198 0.295873i
\(523\) 25.2722 + 11.2519i 1.10508 + 0.492011i 0.876445 0.481502i \(-0.159909\pi\)
0.228630 + 0.973513i \(0.426575\pi\)
\(524\) −2.77790 −0.121353
\(525\) −15.2619 + 7.37832i −0.666083 + 0.322016i
\(526\) −3.04035 5.26604i −0.132565 0.229610i
\(527\) 0.437264 + 4.16029i 0.0190475 + 0.181225i
\(528\) −9.92497 + 2.10962i −0.431929 + 0.0918093i
\(529\) 1.56433 + 1.73736i 0.0680144 + 0.0755376i
\(530\) 0.601358 + 0.422631i 0.0261213 + 0.0183579i
\(531\) 12.8999 + 39.7019i 0.559809 + 1.72292i
\(532\) −5.20657 + 1.44727i −0.225733 + 0.0627469i
\(533\) −1.36181 4.19122i −0.0589865 0.181542i
\(534\) −18.8665 + 8.39991i −0.816434 + 0.363500i
\(535\) 13.4395 10.0909i 0.581038 0.436266i
\(536\) 7.26825 + 3.23603i 0.313940 + 0.139775i
\(537\) 3.25486 1.44916i 0.140458 0.0625358i
\(538\) 1.18612 11.2852i 0.0511372 0.486538i
\(539\) −16.3985 + 11.9142i −0.706333 + 0.513181i
\(540\) 0.803644 9.00583i 0.0345833 0.387549i
\(541\) 3.41551 32.4965i 0.146844 1.39713i −0.634448 0.772966i \(-0.718772\pi\)
0.781292 0.624166i \(-0.214561\pi\)
\(542\) −11.4123 + 12.6746i −0.490199 + 0.544421i
\(543\) 12.2338 0.525004
\(544\) −0.254950 0.784657i −0.0109309 0.0336419i
\(545\) −11.2171 + 20.1537i −0.480489 + 0.863292i
\(546\) 3.90157 + 4.33314i 0.166972 + 0.185441i
\(547\) 39.7407 8.44714i 1.69919 0.361174i 0.746562 0.665315i \(-0.231703\pi\)
0.952627 + 0.304142i \(0.0983696\pi\)
\(548\) −0.893662 8.50262i −0.0381753 0.363214i
\(549\) −1.04121 + 1.80344i −0.0444380 + 0.0769688i
\(550\) 16.7023 8.07468i 0.712188 0.344306i
\(551\) −30.4884 + 8.47485i −1.29885 + 0.361041i
\(552\) 11.1366 8.09122i 0.474005 0.344385i
\(553\) 1.29638 + 1.43978i 0.0551278 + 0.0612256i
\(554\) 20.4624 + 22.7258i 0.869364 + 0.965526i
\(555\) −23.4877 25.2752i −0.996996 1.07287i
\(556\) −23.0142 4.89182i −0.976020 0.207460i
\(557\) 9.44998 + 16.3678i 0.400408 + 0.693528i 0.993775 0.111405i \(-0.0355349\pi\)
−0.593367 + 0.804932i \(0.702202\pi\)
\(558\) 7.01715 + 21.5966i 0.297060 + 0.914255i
\(559\) −13.3217 9.67876i −0.563447 0.409368i
\(560\) −1.34818 + 2.42227i −0.0569711 + 0.102360i
\(561\) 7.64766 + 3.40496i 0.322884 + 0.143757i
\(562\) −8.70429 6.32404i −0.367168 0.266763i
\(563\) 28.5852 + 20.7683i 1.20472 + 0.875281i 0.994741 0.102424i \(-0.0326599\pi\)
0.209981 + 0.977706i \(0.432660\pi\)
\(564\) −14.0225 6.24320i −0.590452 0.262886i
\(565\) 26.9538 0.423735i 1.13396 0.0178267i
\(566\) −3.13584 + 29.8355i −0.131809 + 1.25408i
\(567\) 2.88365 + 0.612938i 0.121102 + 0.0257410i
\(568\) −5.05113 + 8.74882i −0.211941 + 0.367092i
\(569\) 6.97147 + 21.4560i 0.292259 + 0.899482i 0.984128 + 0.177459i \(0.0567876\pi\)
−0.691869 + 0.722023i \(0.743212\pi\)
\(570\) −0.727988 + 26.6446i −0.0304921 + 1.11602i
\(571\) −4.34567 + 13.3746i −0.181860 + 0.559709i −0.999880 0.0154813i \(-0.995072\pi\)
0.818020 + 0.575190i \(0.195072\pi\)
\(572\) −4.26980 4.74210i −0.178529 0.198277i
\(573\) 0.0561073 + 0.533825i 0.00234392 + 0.0223009i
\(574\) −1.58839 2.75118i −0.0662983 0.114832i
\(575\) −16.2447 + 19.2239i −0.677450 + 0.801691i
\(576\) −2.23930 3.87858i −0.0933042 0.161608i
\(577\) −31.3805 + 22.7993i −1.30639 + 0.949147i −0.999996 0.00275817i \(-0.999122\pi\)
−0.306393 + 0.951905i \(0.599122\pi\)
\(578\) 5.04295 15.5206i 0.209759 0.645571i
\(579\) 26.8070 5.69801i 1.11406 0.236801i
\(580\) −7.89463 + 14.1842i −0.327807 + 0.588969i
\(581\) −5.26943 16.2176i −0.218613 0.672821i
\(582\) 5.92355 0.245539
\(583\) −0.816089 + 0.906359i −0.0337989 + 0.0375375i
\(584\) −8.63949 + 3.84655i −0.357505 + 0.159171i
\(585\) 15.6220 7.25169i 0.645889 0.299821i
\(586\) 0.785421 + 7.47278i 0.0324454 + 0.308698i
\(587\) −8.10558 + 3.60884i −0.334553 + 0.148953i −0.567137 0.823624i \(-0.691949\pi\)
0.232583 + 0.972576i \(0.425282\pi\)
\(588\) −12.0865 8.78133i −0.498437 0.362136i
\(589\) −8.11236 20.5584i −0.334264 0.847092i
\(590\) −19.1714 8.17703i −0.789273 0.336643i
\(591\) −12.6375 + 5.62659i −0.519838 + 0.231447i
\(592\) −5.51918 1.17314i −0.226837 0.0482157i
\(593\) 21.4740 + 37.1941i 0.881832 + 1.52738i 0.849302 + 0.527907i \(0.177023\pi\)
0.0325297 + 0.999471i \(0.489644\pi\)
\(594\) 14.6751 + 3.11928i 0.602125 + 0.127986i
\(595\) 2.07454 0.962996i 0.0850477 0.0394790i
\(596\) 4.25962 13.1098i 0.174481 0.536997i
\(597\) −14.7212 + 45.3071i −0.602497 + 1.85430i
\(598\) 7.90856 + 3.52112i 0.323405 + 0.143989i
\(599\) −2.39504 4.14833i −0.0978586 0.169496i 0.812939 0.582348i \(-0.197866\pi\)
−0.910798 + 0.412852i \(0.864533\pi\)
\(600\) 9.46426 + 9.86878i 0.386377 + 0.402891i
\(601\) 42.3069 1.72573 0.862866 0.505432i \(-0.168667\pi\)
0.862866 + 0.505432i \(0.168667\pi\)
\(602\) −10.8439 4.82802i −0.441964 0.196775i
\(603\) −23.8425 26.4798i −0.970944 1.07834i
\(604\) 7.27960 1.54733i 0.296203 0.0629599i
\(605\) 2.00398 + 5.85294i 0.0814735 + 0.237956i
\(606\) −22.1735 4.71312i −0.900736 0.191457i
\(607\) 21.2905 0.864153 0.432076 0.901837i \(-0.357781\pi\)
0.432076 + 0.901837i \(0.357781\pi\)
\(608\) 2.40801 + 3.63338i 0.0976578 + 0.147353i
\(609\) 19.9124 + 14.4672i 0.806893 + 0.586242i
\(610\) −0.336792 0.983652i −0.0136363 0.0398269i
\(611\) −1.00902 9.60020i −0.0408207 0.388383i
\(612\) −0.386234 + 3.67477i −0.0156126 + 0.148544i
\(613\) −37.1688 + 16.5486i −1.50123 + 0.668392i −0.982452 0.186515i \(-0.940281\pi\)
−0.518782 + 0.854907i \(0.673614\pi\)
\(614\) −6.73075 2.99672i −0.271631 0.120938i
\(615\) −15.2737 + 3.49833i −0.615895 + 0.141066i
\(616\) −3.72142 2.70377i −0.149940 0.108938i
\(617\) −3.90080 + 4.33228i −0.157040 + 0.174411i −0.816531 0.577302i \(-0.804106\pi\)
0.659490 + 0.751713i \(0.270772\pi\)
\(618\) −8.52607 14.7676i −0.342969 0.594039i
\(619\) −12.2621 37.7390i −0.492857 1.51686i −0.820270 0.571977i \(-0.806177\pi\)
0.327413 0.944881i \(-0.393823\pi\)
\(620\) −10.4286 4.44804i −0.418823 0.178638i
\(621\) −19.9090 + 4.23180i −0.798922 + 0.169816i
\(622\) 0.863339 + 0.958836i 0.0346168 + 0.0384458i
\(623\) −8.55299 3.80804i −0.342668 0.152566i
\(624\) 2.35159 4.07308i 0.0941391 0.163054i
\(625\) −21.1088 13.3947i −0.844353 0.535788i
\(626\) −19.9178 −0.796075
\(627\) −43.7465 6.51120i −1.74707 0.260032i
\(628\) −1.94002 + 5.97077i −0.0774153 + 0.238260i
\(629\) 3.11498 + 3.45953i 0.124202 + 0.137941i
\(630\) 9.92839 7.45462i 0.395556 0.296999i
\(631\) 12.6169 14.0125i 0.502273 0.557830i −0.437682 0.899130i \(-0.644200\pi\)
0.939955 + 0.341300i \(0.110867\pi\)
\(632\) 0.781369 1.35337i 0.0310812 0.0538342i
\(633\) 28.0943 31.2018i 1.11665 1.24016i
\(634\) −23.6263 17.1655i −0.938322 0.681731i
\(635\) 35.1207 8.04414i 1.39372 0.319222i
\(636\) −0.821206 0.365625i −0.0325629 0.0144980i
\(637\) 0.982083 9.34390i 0.0389116 0.370219i
\(638\) −21.7918 15.8326i −0.862744 0.626820i
\(639\) 36.6032 26.5938i 1.44800 1.05203i
\(640\) 2.19424 + 0.430467i 0.0867350 + 0.0170157i
\(641\) 3.40901 1.51779i 0.134648 0.0599491i −0.338307 0.941036i \(-0.609854\pi\)
0.472955 + 0.881087i \(0.343187\pi\)
\(642\) −13.7532 + 15.2744i −0.542794 + 0.602834i
\(643\) −4.33368 + 7.50616i −0.170904 + 0.296014i −0.938736 0.344637i \(-0.888002\pi\)
0.767832 + 0.640651i \(0.221335\pi\)
\(644\) 6.10416 + 1.29748i 0.240538 + 0.0511278i
\(645\) −38.4877 + 44.1203i −1.51545 + 1.73723i
\(646\) 0.154716 3.59292i 0.00608723 0.141362i
\(647\) −3.37193 + 10.3777i −0.132564 + 0.407991i −0.995203 0.0978291i \(-0.968810\pi\)
0.862639 + 0.505820i \(0.168810\pi\)
\(648\) −0.248563 2.36491i −0.00976446 0.0929026i
\(649\) 17.2921 29.9508i 0.678774 1.17567i
\(650\) −2.39888 + 8.25770i −0.0940917 + 0.323894i
\(651\) −8.59514 + 14.8872i −0.336870 + 0.583476i
\(652\) −16.3295 7.27036i −0.639513 0.284729i
\(653\) −6.11081 + 18.8071i −0.239135 + 0.735981i 0.757411 + 0.652938i \(0.226464\pi\)
−0.996546 + 0.0830426i \(0.973536\pi\)
\(654\) 8.71691 26.8279i 0.340858 1.04905i
\(655\) −5.63413 + 2.61536i −0.220144 + 0.102190i
\(656\) −1.71460 + 1.90426i −0.0669439 + 0.0743487i
\(657\) 42.3546 1.65241
\(658\) −2.15032 6.61800i −0.0838281 0.257996i
\(659\) 3.54824 33.7592i 0.138220 1.31507i −0.677027 0.735958i \(-0.736732\pi\)
0.815247 0.579114i \(-0.196601\pi\)
\(660\) −18.1437 + 13.6230i −0.706241 + 0.530273i
\(661\) −24.8810 11.0777i −0.967760 0.430874i −0.138885 0.990309i \(-0.544352\pi\)
−0.828875 + 0.559434i \(0.811018\pi\)
\(662\) −12.8996 + 5.74329i −0.501359 + 0.223219i
\(663\) −3.54483 + 1.57826i −0.137670 + 0.0612946i
\(664\) −11.1276 + 8.08469i −0.431836 + 0.313747i
\(665\) −9.19739 + 7.83727i −0.356659 + 0.303916i
\(666\) 20.4442 + 14.8536i 0.792197 + 0.575565i
\(667\) 35.7445 + 7.59773i 1.38403 + 0.294185i
\(668\) 10.6674 18.4764i 0.412733 0.714874i
\(669\) −42.1338 + 46.7944i −1.62899 + 1.80917i
\(670\) 17.7882 0.279644i 0.687216 0.0108036i
\(671\) 1.68751 0.358692i 0.0651457 0.0138472i
\(672\) 1.04768 3.22443i 0.0404152 0.124385i
\(673\) −6.36051 + 4.62118i −0.245180 + 0.178133i −0.703588 0.710608i \(-0.748420\pi\)
0.458408 + 0.888742i \(0.348420\pi\)
\(674\) −6.16437 10.6770i −0.237443 0.411263i
\(675\) −6.84893 19.0223i −0.263615 0.732167i
\(676\) −10.0422 −0.386240
\(677\) −4.04941 + 2.94207i −0.155631 + 0.113073i −0.662876 0.748729i \(-0.730664\pi\)
0.507244 + 0.861802i \(0.330664\pi\)
\(678\) −32.2481 + 6.85454i −1.23848 + 0.263247i
\(679\) 1.79688 + 1.99564i 0.0689580 + 0.0765856i
\(680\) −1.25584 1.35141i −0.0481591 0.0518242i
\(681\) 31.6718 + 6.73204i 1.21366 + 0.257972i
\(682\) 9.40634 16.2923i 0.360187 0.623863i
\(683\) −12.1288 37.3285i −0.464094 1.42834i −0.860118 0.510096i \(-0.829610\pi\)
0.396023 0.918240i \(-0.370390\pi\)
\(684\) −3.23354 19.2521i −0.123638 0.736123i
\(685\) −9.81764 16.4037i −0.375113 0.626752i
\(686\) −1.61508 15.3664i −0.0616640 0.586694i
\(687\) 42.0051 18.7019i 1.60259 0.713521i
\(688\) −1.00081 + 9.52211i −0.0381557 + 0.363027i
\(689\) −0.0590920 0.562223i −0.00225123 0.0214190i
\(690\) 14.9695 26.8956i 0.569879 1.02390i
\(691\) 9.39399 + 6.82513i 0.357364 + 0.259640i 0.751952 0.659218i \(-0.229113\pi\)
−0.394588 + 0.918858i \(0.629113\pi\)
\(692\) 6.02978 + 18.5577i 0.229218 + 0.705459i
\(693\) 10.3006 + 17.8412i 0.391288 + 0.677731i
\(694\) −2.85643 + 3.17239i −0.108429 + 0.120422i
\(695\) −51.2831 + 11.7460i −1.94528 + 0.445552i
\(696\) 6.13497 18.8815i 0.232546 0.715702i
\(697\) 2.06790 0.439546i 0.0783273 0.0166490i
\(698\) −3.49433 33.2464i −0.132262 1.25839i
\(699\) −6.19648 10.7326i −0.234372 0.405945i
\(700\) −0.453845 + 6.18215i −0.0171537 + 0.233663i
\(701\) −20.5224 + 35.5459i −0.775122 + 1.34255i 0.159605 + 0.987181i \(0.448978\pi\)
−0.934726 + 0.355369i \(0.884355\pi\)
\(702\) −5.62601 + 4.08754i −0.212340 + 0.154274i
\(703\) −20.7511 13.2025i −0.782644 0.497941i
\(704\) −1.14656 + 3.52875i −0.0432126 + 0.132995i
\(705\) −34.3183 + 0.539510i −1.29250 + 0.0203191i
\(706\) 24.8942 + 5.29143i 0.936906 + 0.199146i
\(707\) −5.13837 8.89992i −0.193248 0.334716i
\(708\) 24.9332 + 5.29971i 0.937046 + 0.199175i
\(709\) −0.927774 + 8.82718i −0.0348433 + 0.331512i 0.963190 + 0.268822i \(0.0866344\pi\)
−0.998033 + 0.0626894i \(0.980032\pi\)
\(710\) −2.00780 + 22.4999i −0.0753516 + 0.844408i
\(711\) −5.66221 + 4.11384i −0.212349 + 0.154281i
\(712\) −0.789380 + 7.51045i −0.0295833 + 0.281466i
\(713\) −2.66781 + 25.3826i −0.0999104 + 0.950584i
\(714\) −2.26296 + 1.64414i −0.0846893 + 0.0615304i
\(715\) −13.1246 5.59796i −0.490834 0.209352i
\(716\) 0.136184 1.29571i 0.00508945 0.0484229i
\(717\) 39.6835 + 8.43499i 1.48201 + 0.315010i
\(718\) 8.65759 + 14.9954i 0.323098 + 0.559623i
\(719\) 16.0048 + 3.40193i 0.596878 + 0.126870i 0.496437 0.868073i \(-0.334641\pi\)
0.100441 + 0.994943i \(0.467975\pi\)
\(720\) −8.19339 5.75827i −0.305350 0.214598i
\(721\) 2.38884 7.35210i 0.0889652 0.273807i
\(722\) 4.29622 + 18.5079i 0.159889 + 0.688793i
\(723\) −58.0795 + 42.1972i −2.16000 + 1.56933i
\(724\) 2.23677 3.87421i 0.0831290 0.143984i
\(725\) −2.65761 + 36.2012i −0.0987012 + 1.34448i
\(726\) −3.78303 6.55241i −0.140402 0.243183i
\(727\) 5.15812 + 49.0762i 0.191304 + 1.82014i 0.496713 + 0.867915i \(0.334540\pi\)
−0.305409 + 0.952221i \(0.598793\pi\)
\(728\) 2.08556 0.443300i 0.0772961 0.0164298i
\(729\) −13.5422 + 41.6786i −0.501562 + 1.54365i
\(730\) −13.9011 + 15.9355i −0.514504 + 0.589801i
\(731\) 5.28571 5.87037i 0.195499 0.217124i
\(732\) 0.635782 + 1.10121i 0.0234992 + 0.0407018i
\(733\) −4.41294 13.5816i −0.162996 0.501649i 0.835887 0.548901i \(-0.184954\pi\)
−0.998883 + 0.0472522i \(0.984954\pi\)
\(734\) 13.3860 + 9.72552i 0.494088 + 0.358976i
\(735\) −32.7813 6.43104i −1.20916 0.237213i
\(736\) −0.526162 5.00610i −0.0193946 0.184527i
\(737\) −3.08566 + 29.3581i −0.113662 + 1.08142i
\(738\) 10.4839 4.66775i 0.385919 0.171822i
\(739\) 2.14333 + 20.3924i 0.0788436 + 0.750147i 0.960505 + 0.278264i \(0.0897589\pi\)
−0.881661 + 0.471883i \(0.843574\pi\)
\(740\) −12.2985 + 2.81688i −0.452102 + 0.103551i
\(741\) 15.8111 13.0495i 0.580834 0.479386i
\(742\) −0.125930 0.387574i −0.00462305 0.0142283i
\(743\) 1.33859 2.31851i 0.0491083 0.0850580i −0.840426 0.541926i \(-0.817695\pi\)
0.889535 + 0.456868i \(0.151029\pi\)
\(744\) 13.5628 + 2.88287i 0.497238 + 0.105691i
\(745\) −3.70332 30.5996i −0.135679 1.12108i
\(746\) 2.58402 + 2.86985i 0.0946077 + 0.105073i
\(747\) 60.2548 12.8075i 2.20461 0.468604i
\(748\) 2.47654 1.79931i 0.0905513 0.0657894i
\(749\) −9.31790 −0.340469
\(750\) 28.4868 + 11.1054i 1.04019 + 0.405511i
\(751\) −10.0972 17.4888i −0.368451 0.638176i 0.620873 0.783911i \(-0.286778\pi\)
−0.989324 + 0.145736i \(0.953445\pi\)
\(752\) −4.54089 + 3.29915i −0.165589 + 0.120308i
\(753\) 3.45346 10.6286i 0.125851 0.387329i
\(754\) 12.2126 2.59586i 0.444755 0.0945356i
\(755\) 13.3077 9.99195i 0.484317 0.363644i
\(756\) −3.35435 + 3.72538i −0.121997 + 0.135491i
\(757\) −17.3661 + 30.0790i −0.631183 + 1.09324i 0.356127 + 0.934437i \(0.384097\pi\)
−0.987310 + 0.158803i \(0.949236\pi\)
\(758\) 26.4735 + 5.62712i 0.961561 + 0.204386i
\(759\) 41.3207 + 30.0212i 1.49985 + 1.08970i
\(760\) 8.30472 + 5.10212i 0.301244 + 0.185073i
\(761\) 24.2166 17.5944i 0.877850 0.637796i −0.0548315 0.998496i \(-0.517462\pi\)
0.932682 + 0.360700i \(0.117462\pi\)
\(762\) −40.2552 + 17.9228i −1.45829 + 0.649273i
\(763\) 11.6825 5.20139i 0.422936 0.188303i
\(764\) 0.179310 + 0.0798340i 0.00648721 + 0.00288829i
\(765\) 2.67639 + 7.81680i 0.0967651 + 0.282617i
\(766\) −0.716903 + 6.82087i −0.0259027 + 0.246448i
\(767\) 4.95367 + 15.2458i 0.178867 + 0.550495i
\(768\) −2.73470 −0.0986801
\(769\) 10.0716 11.1857i 0.363192 0.403366i −0.533658 0.845701i \(-0.679183\pi\)
0.896850 + 0.442335i \(0.145850\pi\)
\(770\) −10.0934 1.98012i −0.363739 0.0713585i
\(771\) −13.6165 + 41.9074i −0.490388 + 1.50926i
\(772\) 3.09682 9.53104i 0.111457 0.343030i
\(773\) −8.36042 3.72230i −0.300703 0.133882i 0.250839 0.968029i \(-0.419294\pi\)
−0.551542 + 0.834147i \(0.685960\pi\)
\(774\) 21.4403 37.1357i 0.770656 1.33482i
\(775\) −25.3391 + 0.796898i −0.910208 + 0.0286254i
\(776\) 1.08303 1.87587i 0.0388787 0.0673398i
\(777\) 1.99964 + 19.0253i 0.0717367 + 0.682529i
\(778\) −1.13657 + 3.49799i −0.0407479 + 0.125409i
\(779\) −9.90426 + 5.16337i −0.354857 + 0.184997i
\(780\) 0.934750 10.4750i 0.0334694 0.375066i
\(781\) −36.6638 7.79314i −1.31193 0.278860i
\(782\) −2.07648 + 3.59657i −0.0742549 + 0.128613i
\(783\) −19.6423 + 21.8150i −0.701958 + 0.779603i
\(784\) −4.99070 + 2.22200i −0.178239 + 0.0793573i
\(785\) 1.68666 + 13.9364i 0.0601994 + 0.497413i
\(786\) 6.14588 4.46524i 0.219216 0.159270i
\(787\) 17.7450 + 12.8925i 0.632541 + 0.459568i 0.857280 0.514851i \(-0.172153\pi\)
−0.224738 + 0.974419i \(0.572153\pi\)
\(788\) −0.528757 + 5.03079i −0.0188362 + 0.179214i
\(789\) 15.1913 + 6.76358i 0.540823 + 0.240790i
\(790\) 0.310591 3.48056i 0.0110503 0.123833i
\(791\) −12.0916 8.78505i −0.429927 0.312360i
\(792\) 11.1191 12.3490i 0.395098 0.438801i
\(793\) −0.399835 + 0.692534i −0.0141985 + 0.0245926i
\(794\) 6.60146 7.33167i 0.234277 0.260191i
\(795\) −2.00980 + 0.0315957i −0.0712803 + 0.00112058i
\(796\) 11.6563 + 12.9456i 0.413146 + 0.458846i
\(797\) 11.2736 34.6967i 0.399333 1.22902i −0.526203 0.850359i \(-0.676385\pi\)
0.925535 0.378661i \(-0.123615\pi\)
\(798\) 9.19276 11.5711i 0.325420 0.409612i
\(799\) 4.63081 0.163826
\(800\) 4.85564 1.19278i 0.171673 0.0421711i
\(801\) 16.9108 29.2903i 0.597513 1.03492i
\(802\) 5.50355 + 2.45034i 0.194337 + 0.0865244i
\(803\) −23.4792 26.0763i −0.828563 0.920213i
\(804\) −21.2821 + 4.52365i −0.750561 + 0.159537i
\(805\) 13.6020 3.11544i 0.479408 0.109805i
\(806\) 2.69464 + 8.29325i 0.0949146 + 0.292117i
\(807\) 15.5158 + 26.8741i 0.546181 + 0.946014i
\(808\) −5.54664 + 6.16017i −0.195130 + 0.216714i
\(809\) −17.8137 12.9424i −0.626295 0.455030i 0.228820 0.973469i \(-0.426513\pi\)
−0.855115 + 0.518439i \(0.826513\pi\)
\(810\) −2.73067 4.56250i −0.0959461 0.160310i
\(811\) 24.6611 + 10.9798i 0.865967 + 0.385553i 0.791134 0.611643i \(-0.209491\pi\)
0.0748328 + 0.997196i \(0.476158\pi\)
\(812\) 8.22218 3.66075i 0.288542 0.128467i
\(813\) 4.87535 46.3858i 0.170986 1.62682i
\(814\) −2.18836 20.8209i −0.0767021 0.729772i
\(815\) −39.9645 + 0.628273i −1.39989 + 0.0220074i
\(816\) 1.82533 + 1.32618i 0.0638993 + 0.0464255i
\(817\) −18.5995 + 37.3608i −0.650715 + 1.30709i
\(818\) −0.850755 −0.0297459
\(819\) −9.34040 1.98536i −0.326380 0.0693742i
\(820\) −1.68472 + 5.47649i −0.0588329 + 0.191247i
\(821\) 5.92320 1.25902i 0.206721 0.0439399i −0.103387 0.994641i \(-0.532968\pi\)
0.310108 + 0.950701i \(0.399635\pi\)
\(822\) 15.6444 + 17.3749i 0.545662 + 0.606019i
\(823\) 24.0996 + 10.7298i 0.840059 + 0.374018i 0.781225 0.624250i \(-0.214595\pi\)
0.0588337 + 0.998268i \(0.481262\pi\)
\(824\) −6.23546 −0.217223
\(825\) −23.9731 + 44.7122i −0.834637 + 1.55668i
\(826\) 5.77789 + 10.0076i 0.201039 + 0.348209i
\(827\) −16.0607 7.15069i −0.558486 0.248654i 0.108027 0.994148i \(-0.465547\pi\)
−0.666512 + 0.745494i \(0.732214\pi\)
\(828\) −6.96642 + 21.4404i −0.242100 + 0.745107i
\(829\) 1.67011 5.14006i 0.0580052 0.178522i −0.917856 0.396914i \(-0.870081\pi\)
0.975861 + 0.218392i \(0.0700812\pi\)
\(830\) −14.9574 + 26.8739i −0.519180 + 0.932807i
\(831\) −81.8013 17.3874i −2.83765 0.603162i
\(832\) −0.859909 1.48941i −0.0298120 0.0516358i
\(833\) 4.40869 + 0.937095i 0.152752 + 0.0324684i
\(834\) 58.7804 26.1707i 2.03540 0.906217i
\(835\) 4.24024 47.5171i 0.146739 1.64440i
\(836\) −10.0604 + 12.6632i −0.347945 + 0.437965i
\(837\) −16.5865 12.0508i −0.573313 0.416536i
\(838\) −6.13906 + 2.73328i −0.212070 + 0.0944197i
\(839\) −2.00898 19.1141i −0.0693576 0.659893i −0.972873 0.231338i \(-0.925690\pi\)
0.903516 0.428555i \(-0.140977\pi\)
\(840\) −0.910855 7.52617i −0.0314275 0.259678i
\(841\) 21.6543 9.64112i 0.746700 0.332452i
\(842\) 12.1774 13.5244i 0.419662 0.466082i
\(843\) 29.4229 1.01338
\(844\) −4.74437 14.6017i −0.163308 0.502611i
\(845\) −20.3677 + 9.45464i −0.700669 + 0.325249i
\(846\) 24.5884 5.22643i 0.845367 0.179688i
\(847\) 1.05993 3.26214i 0.0364198 0.112089i
\(848\) −0.265931 + 0.193210i −0.00913212 + 0.00663487i
\(849\) −41.0203 71.0493i −1.40781 2.43841i
\(850\) −3.81942 1.55857i −0.131005 0.0534587i
\(851\) 14.2012 + 24.5972i 0.486811 + 0.843182i
\(852\) −2.88778 27.4753i −0.0989336 0.941290i
\(853\) 17.5660 + 19.5090i 0.601447 + 0.667974i 0.964588 0.263760i \(-0.0849626\pi\)
−0.363142 + 0.931734i \(0.618296\pi\)
\(854\) −0.178134 + 0.548240i −0.00609562 + 0.0187604i
\(855\) −24.6839 36.0028i −0.844172 1.23127i
\(856\) 2.32254 + 7.14806i 0.0793830 + 0.244316i
\(857\) −10.7137 + 18.5568i −0.365975 + 0.633887i −0.988932 0.148369i \(-0.952598\pi\)
0.622957 + 0.782256i \(0.285931\pi\)
\(858\) 17.0691 + 3.62816i 0.582731 + 0.123863i
\(859\) 5.30290 50.4537i 0.180933 1.72146i −0.407749 0.913094i \(-0.633686\pi\)
0.588682 0.808365i \(-0.299647\pi\)
\(860\) 6.93510 + 20.2550i 0.236485 + 0.690690i
\(861\) 7.93649 + 3.53355i 0.270475 + 0.120423i
\(862\) 31.2471 + 22.7023i 1.06428 + 0.773245i
\(863\) 45.5442 + 33.0898i 1.55034 + 1.12639i 0.943406 + 0.331639i \(0.107602\pi\)
0.606936 + 0.794750i \(0.292398\pi\)
\(864\) 3.69395 + 1.64465i 0.125671 + 0.0559522i
\(865\) 29.7015 + 31.9619i 1.00988 + 1.08674i
\(866\) 18.1693 + 13.2008i 0.617419 + 0.448581i
\(867\) 13.7910 + 42.4442i 0.468365 + 1.44148i
\(868\) 3.14299 + 5.44381i 0.106680 + 0.184775i
\(869\) 5.67159 + 1.20553i 0.192396 + 0.0408950i
\(870\) −5.33375 44.0715i −0.180831 1.49416i
\(871\) −9.15572 10.1685i −0.310230 0.344545i
\(872\) −6.90209 7.66555i −0.233734 0.259588i
\(873\) −7.84824 + 5.70208i −0.265623 + 0.192986i
\(874\) 5.48094 21.2457i 0.185396 0.718646i
\(875\) 4.89993 + 12.9659i 0.165648 + 0.438328i
\(876\) 12.9312 22.3975i 0.436904 0.756740i
\(877\) 3.60455 + 34.2950i 0.121717 + 1.15806i 0.869436 + 0.494045i \(0.164482\pi\)
−0.747720 + 0.664015i \(0.768851\pi\)
\(878\) 20.2963 4.31412i 0.684968 0.145594i
\(879\) −13.7496 15.2704i −0.463761 0.515059i
\(880\) 0.996821 + 8.23649i 0.0336028 + 0.277652i
\(881\) −16.0929 49.5290i −0.542185 1.66867i −0.727590 0.686012i \(-0.759360\pi\)
0.185405 0.982662i \(-0.440640\pi\)
\(882\) 24.4666 0.823833
\(883\) −1.50765 + 1.67441i −0.0507364 + 0.0563485i −0.767979 0.640475i \(-0.778737\pi\)
0.717242 + 0.696824i \(0.245404\pi\)
\(884\) −0.148317 + 1.41114i −0.00498843 + 0.0474618i
\(885\) 55.5591 12.7254i 1.86760 0.427760i
\(886\) −4.23646 + 3.07797i −0.142327 + 0.103406i
\(887\) 1.22153 11.6221i 0.0410149 0.390230i −0.954687 0.297612i \(-0.903810\pi\)
0.995702 0.0926181i \(-0.0295236\pi\)
\(888\) 14.0965 6.27616i 0.473047 0.210614i
\(889\) −18.2494 8.12514i −0.612064 0.272509i
\(890\) 5.46997 + 15.9759i 0.183354 + 0.535513i
\(891\) 8.06020 3.58863i 0.270027 0.120224i
\(892\) 7.11528 + 21.8986i 0.238237 + 0.733219i
\(893\) −23.5721 + 6.55233i −0.788811 + 0.219265i
\(894\) 11.6488 + 35.8513i 0.389594 + 1.19905i
\(895\) −0.943684 2.75617i −0.0315439 0.0921286i
\(896\) −0.829559 0.921319i −0.0277136 0.0307791i
\(897\) −23.1570 + 4.92217i −0.773189 + 0.164346i
\(898\) 1.45733 + 13.8656i 0.0486318 + 0.462701i
\(899\) 18.4046 + 31.8777i 0.613827 + 1.06318i
\(900\) −22.0392 3.96495i −0.734639 0.132165i
\(901\) 0.271197 0.00903489
\(902\) −8.68554 3.86705i −0.289197 0.128759i
\(903\) 31.7519 6.74908i 1.05664 0.224595i
\(904\) −3.72539 + 11.4656i −0.123905 + 0.381339i
\(905\) 0.889109 9.96357i 0.0295550 0.331200i
\(906\) −13.6183 + 15.1247i −0.452439 + 0.502485i
\(907\) −5.90911 + 10.2349i −0.196209 + 0.339844i −0.947296 0.320359i \(-0.896196\pi\)
0.751087 + 0.660203i \(0.229530\pi\)
\(908\) 7.92262 8.79896i 0.262921 0.292004i
\(909\) 33.9150 15.0999i 1.12489 0.500833i
\(910\) 3.81258 2.86263i 0.126386 0.0948954i
\(911\) −19.6670 + 14.2889i −0.651596 + 0.473412i −0.863814 0.503810i \(-0.831931\pi\)
0.212219 + 0.977222i \(0.431931\pi\)
\(912\) −11.1679 4.16789i −0.369806 0.138013i
\(913\) −41.2874 29.9970i −1.36641 0.992757i
\(914\) 1.50329 + 14.3028i 0.0497243 + 0.473095i
\(915\) 2.32627 + 1.63489i 0.0769040 + 0.0540477i
\(916\) 1.75750 16.7215i 0.0580695 0.552495i
\(917\) 3.36866 + 0.716030i 0.111243 + 0.0236454i
\(918\) −1.66803 2.88911i −0.0550532 0.0953550i
\(919\) 0.421366 + 1.29683i 0.0138996 + 0.0427785i 0.957766 0.287550i \(-0.0928406\pi\)
−0.943866 + 0.330328i \(0.892841\pi\)
\(920\) −5.78034 9.65800i −0.190572 0.318415i
\(921\) 19.7083 4.18912i 0.649409 0.138036i
\(922\) 31.1682 6.62500i 1.02647 0.218183i
\(923\) 14.0559 10.2122i 0.462656 0.336139i
\(924\) 12.5794 0.413833
\(925\) −22.2918 + 17.2921i −0.732950 + 0.568561i
\(926\) −5.93442 + 10.2787i −0.195017 + 0.337780i
\(927\) 25.5118 + 11.3586i 0.837918 + 0.373065i
\(928\) −4.85770 5.39503i −0.159462 0.177100i
\(929\) 11.0176 + 12.2363i 0.361477 + 0.401461i 0.896260 0.443528i \(-0.146273\pi\)
−0.534783 + 0.844989i \(0.679607\pi\)
\(930\) 30.2224 6.92221i 0.991030 0.226988i
\(931\) −23.7674 + 1.46795i −0.778945 + 0.0481102i
\(932\) −4.53174 −0.148442
\(933\) −3.45132 0.733601i −0.112991 0.0240170i
\(934\) −2.02191 + 0.900214i −0.0661590 + 0.0294559i
\(935\) 3.32889 5.98100i 0.108866 0.195600i
\(936\) 0.805117 + 7.66018i 0.0263161 + 0.250381i
\(937\) −3.73416 + 35.5281i −0.121990 + 1.16065i 0.746653 + 0.665214i \(0.231660\pi\)
−0.868643 + 0.495439i \(0.835007\pi\)
\(938\) −7.97983 5.79769i −0.260551 0.189301i
\(939\) 44.0665 32.0162i 1.43806 1.04481i
\(940\) −6.10374 + 10.9665i −0.199082 + 0.357689i
\(941\) −3.05928 + 29.1071i −0.0997296 + 0.948864i 0.824199 + 0.566300i \(0.191626\pi\)
−0.923929 + 0.382564i \(0.875041\pi\)
\(942\) −5.30538 16.3283i −0.172859 0.532004i
\(943\) 12.8984 0.420031
\(944\) 6.23697 6.92686i 0.202996 0.225450i
\(945\) −3.29589 + 10.7139i −0.107215 + 0.348523i
\(946\) −34.7487 + 7.38606i −1.12978 + 0.240141i
\(947\) −15.0339 16.6968i −0.488535 0.542573i 0.447591 0.894238i \(-0.352282\pi\)
−0.936126 + 0.351666i \(0.885615\pi\)
\(948\) 0.446715 + 4.25021i 0.0145086 + 0.138040i
\(949\) 16.2645 0.527967
\(950\) 21.6472 + 2.52933i 0.702329 + 0.0820622i
\(951\) 79.8636 2.58976
\(952\) 0.106916 + 1.01724i 0.00346518 + 0.0329690i
\(953\) 30.3864 + 33.7475i 0.984312 + 1.09319i 0.995642 + 0.0932533i \(0.0297266\pi\)
−0.0113305 + 0.999936i \(0.503607\pi\)
\(954\) 1.43999 0.306079i 0.0466213 0.00990966i
\(955\) 0.438840 0.00689890i 0.0142005 0.000223243i
\(956\) 9.92673 11.0248i 0.321053 0.356566i
\(957\) 73.6623 2.38116
\(958\) 0.173662 + 0.534477i 0.00561077 + 0.0172682i
\(959\) −1.10792 + 10.5412i −0.0357767 + 0.340393i
\(960\) −5.54653 + 2.57469i −0.179013 + 0.0830978i
\(961\) 4.28113 3.11043i 0.138101 0.100336i
\(962\) 7.85074 + 5.70389i 0.253118 + 0.183901i
\(963\) 3.51851 33.4764i 0.113382 1.07876i
\(964\) 2.74403 + 26.1077i 0.0883794 + 0.840874i
\(965\) −2.69238 22.2465i −0.0866708 0.716140i
\(966\) −15.5906 + 6.94136i −0.501618 + 0.223335i
\(967\) 57.8253 + 12.2912i 1.85954 + 0.395257i 0.994346 0.106185i \(-0.0338636\pi\)
0.865191 + 0.501442i \(0.167197\pi\)
\(968\) −2.76669 −0.0889247
\(969\) 5.43303 + 8.19775i 0.174534 + 0.263350i
\(970\) 0.430502 4.82431i 0.0138226 0.154899i
\(971\) 6.74080 + 7.48642i 0.216323 + 0.240251i 0.841533 0.540206i \(-0.181654\pi\)
−0.625210 + 0.780456i \(0.714987\pi\)
\(972\) 12.4683 + 13.8474i 0.399920 + 0.444157i
\(973\) 26.6476 + 11.8643i 0.854284 + 0.380352i
\(974\) 14.0014 24.2512i 0.448634 0.777057i
\(975\) −7.96625 22.1255i −0.255124 0.708584i
\(976\) 0.464973 0.0148834
\(977\) 6.02279 4.37581i 0.192686 0.139995i −0.487259 0.873257i \(-0.662003\pi\)
0.679946 + 0.733263i \(0.262003\pi\)
\(978\) 47.8143 10.1632i 1.52893 0.324984i
\(979\) −27.4076 + 5.82566i −0.875950 + 0.186189i
\(980\) −8.03016 + 9.20536i −0.256514 + 0.294054i
\(981\) 14.2756 + 43.9358i 0.455785 + 1.40276i
\(982\) −15.2340 26.3860i −0.486136 0.842013i
\(983\) −33.7310 7.16975i −1.07585 0.228679i −0.364278 0.931290i \(-0.618684\pi\)
−0.711574 + 0.702611i \(0.752018\pi\)
\(984\) 0.732481 6.96910i 0.0233507 0.222167i
\(985\) 3.66400 + 10.7013i 0.116745 + 0.340971i
\(986\) 0.626077 + 5.95673i 0.0199384 + 0.189701i
\(987\) 15.3953 + 11.1853i 0.490038 + 0.356033i
\(988\) −1.24171 7.39296i −0.0395039 0.235201i
\(989\) 38.9907 28.3284i 1.23983 0.900792i
\(990\) 10.9253 35.5146i 0.347228 1.12873i
\(991\) −42.5351 + 18.9379i −1.35117 + 0.601581i −0.949374 0.314147i \(-0.898282\pi\)
−0.401799 + 0.915728i \(0.631615\pi\)
\(992\) 3.39271 3.76799i 0.107719 0.119634i
\(993\) 19.3076 33.4417i 0.612708 1.06124i
\(994\) 8.38043 9.30741i 0.265811 0.295213i
\(995\) 35.8295 + 15.2821i 1.13587 + 0.484474i
\(996\) 11.6235 35.7735i 0.368305 1.13353i
\(997\) 14.3393 3.04790i 0.454129 0.0965281i 0.0248324 0.999692i \(-0.492095\pi\)
0.429297 + 0.903164i \(0.358761\pi\)
\(998\) −28.9332 12.8819i −0.915865 0.407770i
\(999\) −22.8156 −0.721853
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 950.2.r.a.11.3 200
19.7 even 3 inner 950.2.r.a.311.23 yes 200
25.16 even 5 inner 950.2.r.a.391.23 yes 200
475.216 even 15 inner 950.2.r.a.691.3 yes 200
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
950.2.r.a.11.3 200 1.1 even 1 trivial
950.2.r.a.311.23 yes 200 19.7 even 3 inner
950.2.r.a.391.23 yes 200 25.16 even 5 inner
950.2.r.a.691.3 yes 200 475.216 even 15 inner