Properties

Label 370.2.o.d.71.2
Level $370$
Weight $2$
Character 370.71
Analytic conductor $2.954$
Analytic rank $0$
Dimension $24$
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(71,370)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(370, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([0, 4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("370.71");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 370 = 2 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 370.o (of order \(9\), degree \(6\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(2.95446487479\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(4\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 71.2
Character \(\chi\) \(=\) 370.71
Dual form 370.2.o.d.271.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.766044 + 0.642788i) q^{2} +(-0.599525 + 0.503061i) q^{3} +(0.173648 + 0.984808i) q^{4} +(0.939693 + 0.342020i) q^{5} -0.782624 q^{6} +(2.34566 + 0.853751i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-0.414585 + 2.35123i) q^{9} +O(q^{10})\) \(q+(0.766044 + 0.642788i) q^{2} +(-0.599525 + 0.503061i) q^{3} +(0.173648 + 0.984808i) q^{4} +(0.939693 + 0.342020i) q^{5} -0.782624 q^{6} +(2.34566 + 0.853751i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-0.414585 + 2.35123i) q^{9} +(0.500000 + 0.866025i) q^{10} +(0.923061 - 1.59879i) q^{11} +(-0.599525 - 0.503061i) q^{12} +(-0.763687 - 4.33109i) q^{13} +(1.24810 + 2.16177i) q^{14} +(-0.735426 + 0.267673i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(-0.974708 + 5.52784i) q^{17} +(-1.82893 + 1.53466i) q^{18} +(-3.01290 + 2.52812i) q^{19} +(-0.173648 + 0.984808i) q^{20} +(-1.83577 + 0.668166i) q^{21} +(1.73479 - 0.631411i) q^{22} +(2.88790 + 5.00198i) q^{23} +(-0.135901 - 0.770734i) q^{24} +(0.766044 + 0.642788i) q^{25} +(2.19895 - 3.80869i) q^{26} +(-2.10819 - 3.65150i) q^{27} +(-0.433461 + 2.45828i) q^{28} +(2.06692 - 3.58001i) q^{29} +(-0.735426 - 0.267673i) q^{30} +9.55236 q^{31} +(-0.939693 - 0.342020i) q^{32} +(0.250890 + 1.42287i) q^{33} +(-4.29990 + 3.60804i) q^{34} +(1.91220 + 1.60453i) q^{35} -2.38750 q^{36} +(-5.76547 - 1.93892i) q^{37} -3.93306 q^{38} +(2.63665 + 2.21241i) q^{39} +(-0.766044 + 0.642788i) q^{40} +(-1.37210 - 7.78155i) q^{41} +(-1.83577 - 0.668166i) q^{42} -5.64991 q^{43} +(1.73479 + 0.631411i) q^{44} +(-1.19375 + 2.06764i) q^{45} +(-1.00296 + 5.68805i) q^{46} +(-3.47845 - 6.02485i) q^{47} +(0.391312 - 0.677772i) q^{48} +(-0.589073 - 0.494291i) q^{49} +(0.173648 + 0.984808i) q^{50} +(-2.19648 - 3.80442i) q^{51} +(4.13267 - 1.50417i) q^{52} +(4.91837 - 1.79014i) q^{53} +(0.732168 - 4.15233i) q^{54} +(1.41421 - 1.18666i) q^{55} +(-1.91220 + 1.60453i) q^{56} +(0.534508 - 3.03135i) q^{57} +(3.88454 - 1.41386i) q^{58} +(10.3044 - 3.75051i) q^{59} +(-0.391312 - 0.677772i) q^{60} +(-2.47163 - 14.0173i) q^{61} +(7.31753 + 6.14014i) q^{62} +(-2.97984 + 5.16123i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(0.763687 - 4.33109i) q^{65} +(-0.722410 + 1.25125i) q^{66} +(3.74542 + 1.36322i) q^{67} -5.61312 q^{68} +(-4.24767 - 1.54602i) q^{69} +(0.433461 + 2.45828i) q^{70} +(7.88921 - 6.61983i) q^{71} +(-1.82893 - 1.53466i) q^{72} -2.47995 q^{73} +(-3.17029 - 5.19127i) q^{74} -0.782624 q^{75} +(-3.01290 - 2.52812i) q^{76} +(3.53016 - 2.96215i) q^{77} +(0.597680 + 3.38961i) q^{78} +(10.9388 + 3.98139i) q^{79} -1.00000 q^{80} +(-3.62971 - 1.32111i) q^{81} +(3.95080 - 6.84298i) q^{82} +(-2.30162 + 13.0532i) q^{83} +(-0.976793 - 1.69186i) q^{84} +(-2.80656 + 4.86110i) q^{85} +(-4.32808 - 3.63169i) q^{86} +(0.561794 + 3.18609i) q^{87} +(0.923061 + 1.59879i) q^{88} +(-7.26813 + 2.64538i) q^{89} +(-2.24352 + 0.816573i) q^{90} +(1.90632 - 10.8113i) q^{91} +(-4.42451 + 3.71261i) q^{92} +(-5.72688 + 4.80542i) q^{93} +(1.20805 - 6.85120i) q^{94} +(-3.69587 + 1.34519i) q^{95} +(0.735426 - 0.267673i) q^{96} +(-6.64002 - 11.5009i) q^{97} +(-0.133532 - 0.757298i) q^{98} +(3.37643 + 2.83316i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24 q + 6 q^{6} - 9 q^{7} - 12 q^{8} + 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 24 q + 6 q^{6} - 9 q^{7} - 12 q^{8} + 12 q^{9} + 12 q^{10} - 3 q^{11} - 3 q^{14} + 6 q^{17} - 6 q^{18} - 18 q^{19} + 18 q^{21} + 3 q^{22} + 15 q^{23} - 6 q^{26} - 12 q^{27} + 9 q^{28} - 18 q^{29} - 6 q^{31} - 45 q^{33} - 3 q^{34} + 30 q^{36} - 18 q^{37} - 24 q^{38} + 12 q^{39} + 3 q^{41} + 18 q^{42} + 3 q^{44} + 15 q^{45} + 9 q^{46} - 36 q^{47} - 3 q^{48} - 15 q^{49} + 54 q^{51} - 9 q^{52} - 6 q^{53} + 45 q^{54} - 3 q^{55} + 3 q^{57} - 15 q^{58} - 9 q^{59} + 3 q^{60} - 24 q^{61} + 81 q^{62} - 45 q^{63} - 12 q^{64} - 3 q^{66} + 12 q^{67} + 12 q^{68} + 60 q^{69} - 9 q^{70} + 42 q^{71} - 6 q^{72} - 42 q^{73} + 12 q^{74} + 6 q^{75} - 18 q^{76} + 9 q^{77} + 30 q^{78} - 6 q^{79} - 24 q^{80} - 66 q^{81} - 24 q^{82} - 3 q^{83} - 42 q^{84} + 6 q^{85} - 18 q^{86} - 84 q^{87} - 3 q^{88} + 27 q^{89} + 6 q^{90} + 153 q^{91} - 9 q^{92} - 54 q^{93} - 21 q^{94} - 9 q^{95} - 9 q^{97} - 24 q^{98} + 165 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(261\) \(297\)
\(\chi(n)\) \(e\left(\frac{2}{9}\right)\) \(1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.766044 + 0.642788i 0.541675 + 0.454519i
\(3\) −0.599525 + 0.503061i −0.346136 + 0.290442i −0.799236 0.601017i \(-0.794762\pi\)
0.453100 + 0.891459i \(0.350318\pi\)
\(4\) 0.173648 + 0.984808i 0.0868241 + 0.492404i
\(5\) 0.939693 + 0.342020i 0.420243 + 0.152956i
\(6\) −0.782624 −0.319505
\(7\) 2.34566 + 0.853751i 0.886577 + 0.322688i 0.744861 0.667220i \(-0.232516\pi\)
0.141716 + 0.989907i \(0.454738\pi\)
\(8\) −0.500000 + 0.866025i −0.176777 + 0.306186i
\(9\) −0.414585 + 2.35123i −0.138195 + 0.783743i
\(10\) 0.500000 + 0.866025i 0.158114 + 0.273861i
\(11\) 0.923061 1.59879i 0.278313 0.482053i −0.692652 0.721272i \(-0.743558\pi\)
0.970966 + 0.239219i \(0.0768913\pi\)
\(12\) −0.599525 0.503061i −0.173068 0.145221i
\(13\) −0.763687 4.33109i −0.211809 1.20123i −0.886359 0.462998i \(-0.846774\pi\)
0.674550 0.738229i \(-0.264337\pi\)
\(14\) 1.24810 + 2.16177i 0.333569 + 0.577758i
\(15\) −0.735426 + 0.267673i −0.189886 + 0.0691129i
\(16\) −0.939693 + 0.342020i −0.234923 + 0.0855050i
\(17\) −0.974708 + 5.52784i −0.236401 + 1.34070i 0.603241 + 0.797559i \(0.293876\pi\)
−0.839642 + 0.543140i \(0.817235\pi\)
\(18\) −1.82893 + 1.53466i −0.431083 + 0.361722i
\(19\) −3.01290 + 2.52812i −0.691207 + 0.579992i −0.919257 0.393658i \(-0.871209\pi\)
0.228050 + 0.973649i \(0.426765\pi\)
\(20\) −0.173648 + 0.984808i −0.0388289 + 0.220210i
\(21\) −1.83577 + 0.668166i −0.400598 + 0.145806i
\(22\) 1.73479 0.631411i 0.369858 0.134617i
\(23\) 2.88790 + 5.00198i 0.602168 + 1.04299i 0.992492 + 0.122308i \(0.0390296\pi\)
−0.390324 + 0.920677i \(0.627637\pi\)
\(24\) −0.135901 0.770734i −0.0277407 0.157325i
\(25\) 0.766044 + 0.642788i 0.153209 + 0.128558i
\(26\) 2.19895 3.80869i 0.431250 0.746946i
\(27\) −2.10819 3.65150i −0.405722 0.702731i
\(28\) −0.433461 + 2.45828i −0.0819164 + 0.464571i
\(29\) 2.06692 3.58001i 0.383818 0.664792i −0.607787 0.794100i \(-0.707942\pi\)
0.991604 + 0.129308i \(0.0412757\pi\)
\(30\) −0.735426 0.267673i −0.134270 0.0488702i
\(31\) 9.55236 1.71565 0.857827 0.513938i \(-0.171814\pi\)
0.857827 + 0.513938i \(0.171814\pi\)
\(32\) −0.939693 0.342020i −0.166116 0.0604612i
\(33\) 0.250890 + 1.42287i 0.0436744 + 0.247690i
\(34\) −4.29990 + 3.60804i −0.737427 + 0.618774i
\(35\) 1.91220 + 1.60453i 0.323221 + 0.271215i
\(36\) −2.38750 −0.397917
\(37\) −5.76547 1.93892i −0.947837 0.318756i
\(38\) −3.93306 −0.638027
\(39\) 2.63665 + 2.21241i 0.422202 + 0.354269i
\(40\) −0.766044 + 0.642788i −0.121122 + 0.101634i
\(41\) −1.37210 7.78155i −0.214286 1.21527i −0.882142 0.470984i \(-0.843899\pi\)
0.667856 0.744290i \(-0.267212\pi\)
\(42\) −1.83577 0.668166i −0.283266 0.103100i
\(43\) −5.64991 −0.861603 −0.430801 0.902447i \(-0.641769\pi\)
−0.430801 + 0.902447i \(0.641769\pi\)
\(44\) 1.73479 + 0.631411i 0.261529 + 0.0951888i
\(45\) −1.19375 + 2.06764i −0.177954 + 0.308225i
\(46\) −1.00296 + 5.68805i −0.147878 + 0.838657i
\(47\) −3.47845 6.02485i −0.507384 0.878814i −0.999963 0.00854709i \(-0.997279\pi\)
0.492580 0.870267i \(-0.336054\pi\)
\(48\) 0.391312 0.677772i 0.0564810 0.0978280i
\(49\) −0.589073 0.494291i −0.0841533 0.0706130i
\(50\) 0.173648 + 0.984808i 0.0245576 + 0.139273i
\(51\) −2.19648 3.80442i −0.307569 0.532725i
\(52\) 4.13267 1.50417i 0.573099 0.208591i
\(53\) 4.91837 1.79014i 0.675590 0.245894i 0.0186369 0.999826i \(-0.494067\pi\)
0.656953 + 0.753932i \(0.271845\pi\)
\(54\) 0.732168 4.15233i 0.0996354 0.565060i
\(55\) 1.41421 1.18666i 0.190692 0.160010i
\(56\) −1.91220 + 1.60453i −0.255529 + 0.214414i
\(57\) 0.534508 3.03135i 0.0707973 0.401512i
\(58\) 3.88454 1.41386i 0.510066 0.185649i
\(59\) 10.3044 3.75051i 1.34152 0.488274i 0.431231 0.902242i \(-0.358080\pi\)
0.910292 + 0.413968i \(0.135857\pi\)
\(60\) −0.391312 0.677772i −0.0505182 0.0875000i
\(61\) −2.47163 14.0173i −0.316460 1.79473i −0.563916 0.825832i \(-0.690706\pi\)
0.247456 0.968899i \(-0.420405\pi\)
\(62\) 7.31753 + 6.14014i 0.929328 + 0.779799i
\(63\) −2.97984 + 5.16123i −0.375425 + 0.650254i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) 0.763687 4.33109i 0.0947237 0.537205i
\(66\) −0.722410 + 1.25125i −0.0889225 + 0.154018i
\(67\) 3.74542 + 1.36322i 0.457576 + 0.166544i 0.560516 0.828144i \(-0.310603\pi\)
−0.102940 + 0.994688i \(0.532825\pi\)
\(68\) −5.61312 −0.680691
\(69\) −4.24767 1.54602i −0.511359 0.186119i
\(70\) 0.433461 + 2.45828i 0.0518085 + 0.293820i
\(71\) 7.88921 6.61983i 0.936277 0.785629i −0.0406568 0.999173i \(-0.512945\pi\)
0.976934 + 0.213544i \(0.0685006\pi\)
\(72\) −1.82893 1.53466i −0.215542 0.180861i
\(73\) −2.47995 −0.290257 −0.145128 0.989413i \(-0.546360\pi\)
−0.145128 + 0.989413i \(0.546360\pi\)
\(74\) −3.17029 5.19127i −0.368539 0.603473i
\(75\) −0.782624 −0.0903696
\(76\) −3.01290 2.52812i −0.345604 0.289996i
\(77\) 3.53016 2.96215i 0.402299 0.337569i
\(78\) 0.597680 + 3.38961i 0.0676739 + 0.383798i
\(79\) 10.9388 + 3.98139i 1.23071 + 0.447942i 0.873840 0.486213i \(-0.161622\pi\)
0.356869 + 0.934154i \(0.383844\pi\)
\(80\) −1.00000 −0.111803
\(81\) −3.62971 1.32111i −0.403301 0.146790i
\(82\) 3.95080 6.84298i 0.436292 0.755681i
\(83\) −2.30162 + 13.0532i −0.252636 + 1.43277i 0.549432 + 0.835538i \(0.314844\pi\)
−0.802068 + 0.597232i \(0.796267\pi\)
\(84\) −0.976793 1.69186i −0.106577 0.184597i
\(85\) −2.80656 + 4.86110i −0.304414 + 0.527261i
\(86\) −4.32808 3.63169i −0.466709 0.391615i
\(87\) 0.561794 + 3.18609i 0.0602307 + 0.341585i
\(88\) 0.923061 + 1.59879i 0.0983987 + 0.170431i
\(89\) −7.26813 + 2.64538i −0.770420 + 0.280410i −0.697172 0.716904i \(-0.745559\pi\)
−0.0732480 + 0.997314i \(0.523336\pi\)
\(90\) −2.24352 + 0.816573i −0.236487 + 0.0860744i
\(91\) 1.90632 10.8113i 0.199836 1.13333i
\(92\) −4.42451 + 3.71261i −0.461287 + 0.387066i
\(93\) −5.72688 + 4.80542i −0.593849 + 0.498299i
\(94\) 1.20805 6.85120i 0.124601 0.706648i
\(95\) −3.69587 + 1.34519i −0.379188 + 0.138013i
\(96\) 0.735426 0.267673i 0.0750591 0.0273193i
\(97\) −6.64002 11.5009i −0.674192 1.16773i −0.976704 0.214589i \(-0.931159\pi\)
0.302513 0.953145i \(-0.402175\pi\)
\(98\) −0.133532 0.757298i −0.0134888 0.0764986i
\(99\) 3.37643 + 2.83316i 0.339344 + 0.284743i
\(100\) −0.500000 + 0.866025i −0.0500000 + 0.0866025i
\(101\) 6.06915 + 10.5121i 0.603903 + 1.04599i 0.992224 + 0.124466i \(0.0397218\pi\)
−0.388321 + 0.921524i \(0.626945\pi\)
\(102\) 0.762830 4.32622i 0.0755314 0.428360i
\(103\) 2.60541 4.51270i 0.256719 0.444650i −0.708642 0.705568i \(-0.750692\pi\)
0.965361 + 0.260918i \(0.0840253\pi\)
\(104\) 4.13267 + 1.50417i 0.405242 + 0.147496i
\(105\) −1.95359 −0.190651
\(106\) 4.91837 + 1.79014i 0.477714 + 0.173874i
\(107\) 0.0231706 + 0.131407i 0.00223999 + 0.0127036i 0.985907 0.167293i \(-0.0535025\pi\)
−0.983667 + 0.179996i \(0.942391\pi\)
\(108\) 3.22994 2.71024i 0.310801 0.260793i
\(109\) −12.0085 10.0764i −1.15021 0.965140i −0.150484 0.988612i \(-0.548083\pi\)
−0.999724 + 0.0234725i \(0.992528\pi\)
\(110\) 1.84612 0.176021
\(111\) 4.43193 1.73795i 0.420660 0.164959i
\(112\) −2.49620 −0.235869
\(113\) 2.37738 + 1.99486i 0.223645 + 0.187660i 0.747725 0.664009i \(-0.231146\pi\)
−0.524080 + 0.851669i \(0.675591\pi\)
\(114\) 2.35797 1.97857i 0.220844 0.185310i
\(115\) 1.00296 + 5.68805i 0.0935261 + 0.530413i
\(116\) 3.88454 + 1.41386i 0.360671 + 0.131273i
\(117\) 10.5000 0.970724
\(118\) 10.3044 + 3.75051i 0.948600 + 0.345262i
\(119\) −7.00574 + 12.1343i −0.642215 + 1.11235i
\(120\) 0.135901 0.770734i 0.0124060 0.0703581i
\(121\) 3.79592 + 6.57472i 0.345083 + 0.597702i
\(122\) 7.11677 12.3266i 0.644322 1.11600i
\(123\) 4.73720 + 3.97498i 0.427139 + 0.358412i
\(124\) 1.65875 + 9.40724i 0.148960 + 0.844795i
\(125\) 0.500000 + 0.866025i 0.0447214 + 0.0774597i
\(126\) −5.60027 + 2.03833i −0.498911 + 0.181589i
\(127\) −18.5396 + 6.74786i −1.64512 + 0.598775i −0.987924 0.154942i \(-0.950481\pi\)
−0.657198 + 0.753718i \(0.728259\pi\)
\(128\) 0.173648 0.984808i 0.0153485 0.0870455i
\(129\) 3.38726 2.84225i 0.298232 0.250246i
\(130\) 3.36899 2.82692i 0.295480 0.247937i
\(131\) 1.39128 7.89034i 0.121557 0.689382i −0.861737 0.507355i \(-0.830623\pi\)
0.983294 0.182027i \(-0.0582657\pi\)
\(132\) −1.35769 + 0.494157i −0.118171 + 0.0430109i
\(133\) −9.22564 + 3.35786i −0.799964 + 0.291163i
\(134\) 1.99290 + 3.45180i 0.172160 + 0.298190i
\(135\) −0.732168 4.15233i −0.0630150 0.357376i
\(136\) −4.29990 3.60804i −0.368713 0.309387i
\(137\) −3.24472 + 5.62002i −0.277215 + 0.480151i −0.970692 0.240328i \(-0.922745\pi\)
0.693476 + 0.720479i \(0.256078\pi\)
\(138\) −2.26014 3.91467i −0.192396 0.333239i
\(139\) −0.205759 + 1.16692i −0.0174522 + 0.0989765i −0.992290 0.123941i \(-0.960447\pi\)
0.974837 + 0.222917i \(0.0715579\pi\)
\(140\) −1.24810 + 2.16177i −0.105484 + 0.182703i
\(141\) 5.11628 + 1.86217i 0.430869 + 0.156823i
\(142\) 10.2986 0.864242
\(143\) −7.62942 2.77688i −0.638004 0.232215i
\(144\) −0.414585 2.35123i −0.0345488 0.195936i
\(145\) 3.16671 2.65718i 0.262981 0.220667i
\(146\) −1.89975 1.59408i −0.157225 0.131927i
\(147\) 0.601822 0.0496375
\(148\) 0.908300 6.01456i 0.0746618 0.494394i
\(149\) −3.97421 −0.325580 −0.162790 0.986661i \(-0.552049\pi\)
−0.162790 + 0.986661i \(0.552049\pi\)
\(150\) −0.599525 0.503061i −0.0489510 0.0410748i
\(151\) −2.85570 + 2.39622i −0.232393 + 0.195001i −0.751547 0.659680i \(-0.770692\pi\)
0.519153 + 0.854681i \(0.326247\pi\)
\(152\) −0.682969 3.87331i −0.0553961 0.314167i
\(153\) −12.5931 4.58352i −1.01809 0.370556i
\(154\) 4.60829 0.371347
\(155\) 8.97628 + 3.26710i 0.720992 + 0.262420i
\(156\) −1.72095 + 2.98077i −0.137786 + 0.238653i
\(157\) −1.02148 + 5.79312i −0.0815233 + 0.462341i 0.916530 + 0.399967i \(0.130978\pi\)
−0.998053 + 0.0623744i \(0.980133\pi\)
\(158\) 5.82040 + 10.0812i 0.463047 + 0.802020i
\(159\) −2.04813 + 3.54747i −0.162428 + 0.281333i
\(160\) −0.766044 0.642788i −0.0605611 0.0508168i
\(161\) 2.50358 + 14.1985i 0.197310 + 1.11900i
\(162\) −1.93133 3.34516i −0.151739 0.262820i
\(163\) 4.53873 1.65196i 0.355501 0.129392i −0.158095 0.987424i \(-0.550535\pi\)
0.513596 + 0.858032i \(0.328313\pi\)
\(164\) 7.42507 2.70250i 0.579800 0.211030i
\(165\) −0.250890 + 1.42287i −0.0195318 + 0.110770i
\(166\) −10.1536 + 8.51985i −0.788069 + 0.661268i
\(167\) −2.41210 + 2.02399i −0.186654 + 0.156621i −0.731326 0.682028i \(-0.761098\pi\)
0.544673 + 0.838649i \(0.316654\pi\)
\(168\) 0.339237 1.92391i 0.0261727 0.148433i
\(169\) −5.95908 + 2.16893i −0.458391 + 0.166841i
\(170\) −5.27461 + 1.91980i −0.404544 + 0.147242i
\(171\) −4.69510 8.13214i −0.359043 0.621881i
\(172\) −0.981096 5.56407i −0.0748079 0.424257i
\(173\) 13.8066 + 11.5852i 1.04970 + 0.880803i 0.993062 0.117592i \(-0.0375175\pi\)
0.0566378 + 0.998395i \(0.481962\pi\)
\(174\) −1.61762 + 2.80180i −0.122632 + 0.212404i
\(175\) 1.24810 + 2.16177i 0.0943475 + 0.163415i
\(176\) −0.320576 + 1.81808i −0.0241643 + 0.137043i
\(177\) −4.29103 + 7.43228i −0.322533 + 0.558644i
\(178\) −7.26813 2.64538i −0.544769 0.198280i
\(179\) 12.2015 0.911986 0.455993 0.889983i \(-0.349284\pi\)
0.455993 + 0.889983i \(0.349284\pi\)
\(180\) −2.24352 0.816573i −0.167222 0.0608638i
\(181\) −2.80356 15.8998i −0.208387 1.18182i −0.892021 0.451995i \(-0.850713\pi\)
0.683634 0.729825i \(-0.260399\pi\)
\(182\) 8.40967 7.05655i 0.623366 0.523066i
\(183\) 8.53336 + 7.16034i 0.630804 + 0.529307i
\(184\) −5.77579 −0.425797
\(185\) −4.75462 3.79389i −0.349566 0.278933i
\(186\) −7.47591 −0.548160
\(187\) 7.93814 + 6.66089i 0.580494 + 0.487092i
\(188\) 5.32929 4.47181i 0.388678 0.326140i
\(189\) −1.82764 10.3650i −0.132941 0.753946i
\(190\) −3.69587 1.34519i −0.268127 0.0975901i
\(191\) −1.01452 −0.0734081 −0.0367040 0.999326i \(-0.511686\pi\)
−0.0367040 + 0.999326i \(0.511686\pi\)
\(192\) 0.735426 + 0.267673i 0.0530748 + 0.0193176i
\(193\) −12.5004 + 21.6513i −0.899796 + 1.55849i −0.0720424 + 0.997402i \(0.522952\pi\)
−0.827754 + 0.561091i \(0.810382\pi\)
\(194\) 2.30605 13.0783i 0.165565 0.938966i
\(195\) 1.72095 + 2.98077i 0.123240 + 0.213458i
\(196\) 0.384490 0.665957i 0.0274636 0.0475683i
\(197\) −5.53579 4.64508i −0.394409 0.330948i 0.423919 0.905700i \(-0.360654\pi\)
−0.818328 + 0.574752i \(0.805099\pi\)
\(198\) 0.765375 + 4.34066i 0.0543928 + 0.308477i
\(199\) −6.45218 11.1755i −0.457383 0.792210i 0.541439 0.840740i \(-0.317880\pi\)
−0.998822 + 0.0485299i \(0.984546\pi\)
\(200\) −0.939693 + 0.342020i −0.0664463 + 0.0241845i
\(201\) −2.93125 + 1.06689i −0.206755 + 0.0752526i
\(202\) −2.10779 + 11.9539i −0.148304 + 0.841073i
\(203\) 7.90474 6.63287i 0.554804 0.465536i
\(204\) 3.36520 2.82374i 0.235611 0.197701i
\(205\) 1.37210 7.78155i 0.0958314 0.543487i
\(206\) 4.89657 1.78220i 0.341160 0.124172i
\(207\) −12.9581 + 4.71636i −0.900649 + 0.327809i
\(208\) 2.19895 + 3.80869i 0.152470 + 0.264085i
\(209\) 1.26085 + 7.15061i 0.0872145 + 0.494618i
\(210\) −1.49653 1.25574i −0.103271 0.0866544i
\(211\) −7.72337 + 13.3773i −0.531699 + 0.920930i 0.467616 + 0.883932i \(0.345113\pi\)
−0.999315 + 0.0369981i \(0.988220\pi\)
\(212\) 2.61701 + 4.53279i 0.179737 + 0.311313i
\(213\) −1.39960 + 7.93750i −0.0958987 + 0.543869i
\(214\) −0.0667171 + 0.115557i −0.00456069 + 0.00789934i
\(215\) −5.30918 1.93238i −0.362083 0.131787i
\(216\) 4.21639 0.286889
\(217\) 22.4066 + 8.15534i 1.52106 + 0.553620i
\(218\) −2.72211 15.4379i −0.184365 1.04558i
\(219\) 1.48679 1.24757i 0.100468 0.0843028i
\(220\) 1.41421 + 1.18666i 0.0953461 + 0.0800049i
\(221\) 24.6859 1.66056
\(222\) 4.51219 + 1.51744i 0.302838 + 0.101844i
\(223\) −8.08624 −0.541495 −0.270747 0.962650i \(-0.587271\pi\)
−0.270747 + 0.962650i \(0.587271\pi\)
\(224\) −1.91220 1.60453i −0.127764 0.107207i
\(225\) −1.82893 + 1.53466i −0.121929 + 0.102310i
\(226\) 0.538907 + 3.05630i 0.0358476 + 0.203302i
\(227\) −4.12641 1.50189i −0.273879 0.0996839i 0.201429 0.979503i \(-0.435441\pi\)
−0.475309 + 0.879819i \(0.657664\pi\)
\(228\) 3.07811 0.203853
\(229\) −20.9640 7.63029i −1.38534 0.504224i −0.461550 0.887114i \(-0.652706\pi\)
−0.923794 + 0.382891i \(0.874929\pi\)
\(230\) −2.88790 + 5.00198i −0.190422 + 0.329821i
\(231\) −0.626273 + 3.55177i −0.0412057 + 0.233689i
\(232\) 2.06692 + 3.58001i 0.135700 + 0.235039i
\(233\) 6.80959 11.7946i 0.446111 0.772687i −0.552018 0.833832i \(-0.686142\pi\)
0.998129 + 0.0611451i \(0.0194752\pi\)
\(234\) 8.04345 + 6.74926i 0.525817 + 0.441213i
\(235\) −1.20805 6.85120i −0.0788046 0.446923i
\(236\) 5.48287 + 9.49661i 0.356905 + 0.618177i
\(237\) −8.56095 + 3.11593i −0.556094 + 0.202402i
\(238\) −13.1665 + 4.79221i −0.853456 + 0.310633i
\(239\) −0.631749 + 3.58283i −0.0408644 + 0.231754i −0.998399 0.0565650i \(-0.981985\pi\)
0.957534 + 0.288319i \(0.0930963\pi\)
\(240\) 0.599525 0.503061i 0.0386992 0.0324724i
\(241\) −15.5538 + 13.0512i −1.00191 + 0.840703i −0.987248 0.159190i \(-0.949112\pi\)
−0.0146626 + 0.999892i \(0.504667\pi\)
\(242\) −1.31831 + 7.47650i −0.0847440 + 0.480607i
\(243\) 14.7270 5.36020i 0.944739 0.343857i
\(244\) 13.3752 4.86816i 0.856256 0.311652i
\(245\) −0.384490 0.665957i −0.0245642 0.0425464i
\(246\) 1.07384 + 6.09003i 0.0684653 + 0.388286i
\(247\) 13.2504 + 11.1184i 0.843105 + 0.707449i
\(248\) −4.77618 + 8.27259i −0.303288 + 0.525310i
\(249\) −5.18666 8.98355i −0.328691 0.569309i
\(250\) −0.173648 + 0.984808i −0.0109825 + 0.0622847i
\(251\) −6.35940 + 11.0148i −0.401402 + 0.695249i −0.993895 0.110327i \(-0.964810\pi\)
0.592493 + 0.805575i \(0.298144\pi\)
\(252\) −5.60027 2.03833i −0.352784 0.128403i
\(253\) 10.6628 0.670366
\(254\) −18.5396 6.74786i −1.16328 0.423398i
\(255\) −0.762830 4.32622i −0.0477702 0.270919i
\(256\) 0.766044 0.642788i 0.0478778 0.0401742i
\(257\) 4.22024 + 3.54120i 0.263251 + 0.220894i 0.764853 0.644204i \(-0.222811\pi\)
−0.501602 + 0.865099i \(0.667256\pi\)
\(258\) 4.42175 0.275286
\(259\) −11.8685 9.47032i −0.737471 0.588457i
\(260\) 4.39790 0.272746
\(261\) 7.56052 + 6.34403i 0.467984 + 0.392685i
\(262\) 6.13759 5.15005i 0.379182 0.318171i
\(263\) 4.54539 + 25.7782i 0.280281 + 1.58955i 0.721671 + 0.692236i \(0.243374\pi\)
−0.441391 + 0.897315i \(0.645515\pi\)
\(264\) −1.35769 0.494157i −0.0835598 0.0304133i
\(265\) 5.23402 0.321523
\(266\) −9.22564 3.35786i −0.565660 0.205883i
\(267\) 3.02663 5.24228i 0.185227 0.320823i
\(268\) −0.692125 + 3.92524i −0.0422783 + 0.239772i
\(269\) 10.3148 + 17.8658i 0.628904 + 1.08929i 0.987772 + 0.155906i \(0.0498296\pi\)
−0.358868 + 0.933388i \(0.616837\pi\)
\(270\) 2.10819 3.65150i 0.128301 0.222223i
\(271\) 6.79696 + 5.70333i 0.412886 + 0.346453i 0.825449 0.564476i \(-0.190922\pi\)
−0.412563 + 0.910929i \(0.635366\pi\)
\(272\) −0.974708 5.52784i −0.0591003 0.335175i
\(273\) 4.29584 + 7.44061i 0.259996 + 0.450326i
\(274\) −6.09808 + 2.21952i −0.368399 + 0.134086i
\(275\) 1.73479 0.631411i 0.104612 0.0380755i
\(276\) 0.784937 4.45160i 0.0472477 0.267955i
\(277\) 5.10234 4.28137i 0.306570 0.257243i −0.476503 0.879173i \(-0.658096\pi\)
0.783073 + 0.621930i \(0.213651\pi\)
\(278\) −0.907699 + 0.761650i −0.0544402 + 0.0456807i
\(279\) −3.96027 + 22.4598i −0.237095 + 1.34463i
\(280\) −2.34566 + 0.853751i −0.140180 + 0.0510214i
\(281\) 11.9994 4.36742i 0.715824 0.260539i 0.0416720 0.999131i \(-0.486732\pi\)
0.674152 + 0.738593i \(0.264509\pi\)
\(282\) 2.72232 + 4.71519i 0.162112 + 0.280785i
\(283\) −4.29050 24.3326i −0.255044 1.44643i −0.795960 0.605349i \(-0.793034\pi\)
0.540917 0.841076i \(-0.318077\pi\)
\(284\) 7.88921 + 6.61983i 0.468138 + 0.392815i
\(285\) 1.53905 2.66572i 0.0911657 0.157904i
\(286\) −4.05953 7.03131i −0.240045 0.415770i
\(287\) 3.42503 19.4243i 0.202173 1.14658i
\(288\) 1.19375 2.06764i 0.0703424 0.121837i
\(289\) −13.6322 4.96172i −0.801895 0.291866i
\(290\) 4.13384 0.242748
\(291\) 9.76648 + 3.55471i 0.572521 + 0.208381i
\(292\) −0.430639 2.44228i −0.0252013 0.142923i
\(293\) −8.68490 + 7.28749i −0.507377 + 0.425740i −0.860205 0.509948i \(-0.829665\pi\)
0.352828 + 0.935688i \(0.385220\pi\)
\(294\) 0.461023 + 0.386844i 0.0268874 + 0.0225612i
\(295\) 10.9657 0.638450
\(296\) 4.56189 4.02358i 0.265154 0.233866i
\(297\) −7.78396 −0.451671
\(298\) −3.04442 2.55457i −0.176358 0.147982i
\(299\) 19.4586 16.3277i 1.12532 0.944254i
\(300\) −0.135901 0.770734i −0.00784626 0.0444984i
\(301\) −13.2528 4.82361i −0.763877 0.278029i
\(302\) −3.72785 −0.214514
\(303\) −8.92682 3.24910i −0.512832 0.186656i
\(304\) 1.96653 3.40613i 0.112788 0.195355i
\(305\) 2.47163 14.0173i 0.141525 0.802628i
\(306\) −6.70066 11.6059i −0.383051 0.663464i
\(307\) −0.586736 + 1.01626i −0.0334868 + 0.0580008i −0.882283 0.470719i \(-0.843994\pi\)
0.848796 + 0.528720i \(0.177328\pi\)
\(308\) 3.53016 + 2.96215i 0.201149 + 0.168784i
\(309\) 0.708156 + 4.01615i 0.0402856 + 0.228471i
\(310\) 4.77618 + 8.27259i 0.271269 + 0.469851i
\(311\) 26.4929 9.64262i 1.50227 0.546783i 0.545626 0.838029i \(-0.316292\pi\)
0.956648 + 0.291246i \(0.0940699\pi\)
\(312\) −3.23433 + 1.17720i −0.183108 + 0.0666458i
\(313\) 5.02016 28.4707i 0.283756 1.60926i −0.425939 0.904752i \(-0.640056\pi\)
0.709695 0.704509i \(-0.248833\pi\)
\(314\) −4.50625 + 3.78119i −0.254302 + 0.213385i
\(315\) −4.56538 + 3.83081i −0.257230 + 0.215842i
\(316\) −2.02141 + 11.4640i −0.113713 + 0.644898i
\(317\) −26.9617 + 9.81325i −1.51432 + 0.551167i −0.959722 0.280952i \(-0.909350\pi\)
−0.554597 + 0.832119i \(0.687128\pi\)
\(318\) −3.84923 + 1.40101i −0.215854 + 0.0785645i
\(319\) −3.81579 6.60914i −0.213643 0.370041i
\(320\) −0.173648 0.984808i −0.00970723 0.0550524i
\(321\) −0.0799971 0.0671256i −0.00446500 0.00374658i
\(322\) −7.20877 + 12.4860i −0.401729 + 0.695815i
\(323\) −11.0384 19.1190i −0.614192 1.06381i
\(324\) 0.670743 3.80397i 0.0372635 0.211332i
\(325\) 2.19895 3.80869i 0.121976 0.211268i
\(326\) 4.53873 + 1.65196i 0.251377 + 0.0914938i
\(327\) 12.2684 0.678446
\(328\) 7.42507 + 2.70250i 0.409981 + 0.149221i
\(329\) −3.01554 17.1020i −0.166252 0.942863i
\(330\) −1.10680 + 0.928712i −0.0609271 + 0.0511239i
\(331\) −14.8860 12.4908i −0.818208 0.686558i 0.134344 0.990935i \(-0.457107\pi\)
−0.952552 + 0.304377i \(0.901552\pi\)
\(332\) −13.2545 −0.727437
\(333\) 6.94912 12.7521i 0.380809 0.698810i
\(334\) −3.14877 −0.172293
\(335\) 3.05329 + 2.56202i 0.166819 + 0.139978i
\(336\) 1.49653 1.25574i 0.0816426 0.0685063i
\(337\) 0.660457 + 3.74564i 0.0359774 + 0.204038i 0.997498 0.0706950i \(-0.0225217\pi\)
−0.961521 + 0.274733i \(0.911411\pi\)
\(338\) −5.95908 2.16893i −0.324131 0.117974i
\(339\) −2.42883 −0.131916
\(340\) −5.27461 1.91980i −0.286056 0.104116i
\(341\) 8.81741 15.2722i 0.477490 0.827037i
\(342\) 1.63059 9.24753i 0.0881722 0.500049i
\(343\) −9.69647 16.7948i −0.523560 0.906833i
\(344\) 2.82495 4.89296i 0.152311 0.263811i
\(345\) −3.46273 2.90558i −0.186427 0.156431i
\(346\) 3.12971 + 17.7495i 0.168254 + 0.954218i
\(347\) 9.77561 + 16.9319i 0.524782 + 0.908950i 0.999584 + 0.0288566i \(0.00918663\pi\)
−0.474801 + 0.880093i \(0.657480\pi\)
\(348\) −3.04014 + 1.10652i −0.162968 + 0.0593157i
\(349\) 16.9559 6.17143i 0.907627 0.330349i 0.154322 0.988021i \(-0.450681\pi\)
0.753305 + 0.657672i \(0.228459\pi\)
\(350\) −0.433461 + 2.45828i −0.0231695 + 0.131400i
\(351\) −14.2049 + 11.9194i −0.758204 + 0.636209i
\(352\) −1.41421 + 1.18666i −0.0753777 + 0.0632494i
\(353\) 4.89292 27.7491i 0.260424 1.47694i −0.521334 0.853353i \(-0.674565\pi\)
0.781757 0.623583i \(-0.214324\pi\)
\(354\) −8.06449 + 2.93523i −0.428623 + 0.156006i
\(355\) 9.67755 3.52234i 0.513631 0.186946i
\(356\) −3.86729 6.69834i −0.204966 0.355012i
\(357\) −1.90418 10.7991i −0.100780 0.571550i
\(358\) 9.34692 + 7.84300i 0.494000 + 0.414515i
\(359\) −10.5370 + 18.2506i −0.556122 + 0.963231i 0.441693 + 0.897166i \(0.354378\pi\)
−0.997815 + 0.0660652i \(0.978955\pi\)
\(360\) −1.19375 2.06764i −0.0629161 0.108974i
\(361\) −0.613153 + 3.47736i −0.0322712 + 0.183019i
\(362\) 8.07252 13.9820i 0.424282 0.734879i
\(363\) −5.58323 2.03213i −0.293044 0.106659i
\(364\) 10.9780 0.575406
\(365\) −2.33039 0.848194i −0.121978 0.0443965i
\(366\) 1.93436 + 10.9703i 0.101110 + 0.573425i
\(367\) −10.7737 + 9.04019i −0.562381 + 0.471894i −0.879108 0.476623i \(-0.841861\pi\)
0.316726 + 0.948517i \(0.397416\pi\)
\(368\) −4.42451 3.71261i −0.230644 0.193533i
\(369\) 18.8650 0.982075
\(370\) −1.20358 5.96250i −0.0625711 0.309976i
\(371\) 13.0652 0.678309
\(372\) −5.72688 4.80542i −0.296925 0.249149i
\(373\) −1.84689 + 1.54973i −0.0956285 + 0.0802418i −0.689349 0.724430i \(-0.742103\pi\)
0.593720 + 0.804672i \(0.297659\pi\)
\(374\) 1.79943 + 10.2051i 0.0930463 + 0.527692i
\(375\) −0.735426 0.267673i −0.0379772 0.0138226i
\(376\) 6.95690 0.358774
\(377\) −17.0838 6.21801i −0.879862 0.320244i
\(378\) 5.26247 9.11487i 0.270672 0.468818i
\(379\) −4.51038 + 25.5796i −0.231683 + 1.31394i 0.617806 + 0.786331i \(0.288022\pi\)
−0.849489 + 0.527607i \(0.823089\pi\)
\(380\) −1.96653 3.40613i −0.100881 0.174731i
\(381\) 7.72035 13.3720i 0.395526 0.685071i
\(382\) −0.777167 0.652121i −0.0397633 0.0333654i
\(383\) −2.50795 14.2233i −0.128150 0.726775i −0.979387 0.201993i \(-0.935258\pi\)
0.851237 0.524782i \(-0.175853\pi\)
\(384\) 0.391312 + 0.677772i 0.0199691 + 0.0345874i
\(385\) 4.33038 1.57613i 0.220697 0.0803270i
\(386\) −23.4930 + 8.55076i −1.19576 + 0.435222i
\(387\) 2.34237 13.2842i 0.119069 0.675275i
\(388\) 10.1731 8.53624i 0.516461 0.433362i
\(389\) −11.1310 + 9.34001i −0.564364 + 0.473557i −0.879770 0.475399i \(-0.842304\pi\)
0.315406 + 0.948957i \(0.397859\pi\)
\(390\) −0.597680 + 3.38961i −0.0302647 + 0.171640i
\(391\) −30.4650 + 11.0884i −1.54068 + 0.560763i
\(392\) 0.722605 0.263007i 0.0364971 0.0132838i
\(393\) 3.13521 + 5.43035i 0.158151 + 0.273925i
\(394\) −1.25486 7.11668i −0.0632190 0.358533i
\(395\) 8.91738 + 7.48257i 0.448682 + 0.376489i
\(396\) −2.20381 + 3.81711i −0.110746 + 0.191817i
\(397\) 13.9553 + 24.1714i 0.700398 + 1.21313i 0.968327 + 0.249687i \(0.0803277\pi\)
−0.267928 + 0.963439i \(0.586339\pi\)
\(398\) 2.24082 12.7083i 0.112322 0.637010i
\(399\) 3.84179 6.65418i 0.192330 0.333125i
\(400\) −0.939693 0.342020i −0.0469846 0.0171010i
\(401\) −15.2321 −0.760654 −0.380327 0.924852i \(-0.624188\pi\)
−0.380327 + 0.924852i \(0.624188\pi\)
\(402\) −2.93125 1.06689i −0.146198 0.0532116i
\(403\) −7.29502 41.3721i −0.363391 2.06089i
\(404\) −9.29847 + 7.80235i −0.462616 + 0.388181i
\(405\) −2.95897 2.48287i −0.147032 0.123375i
\(406\) 10.3189 0.512119
\(407\) −8.42180 + 7.42802i −0.417453 + 0.368193i
\(408\) 4.39296 0.217484
\(409\) −10.8534 9.10710i −0.536667 0.450317i 0.333729 0.942669i \(-0.391693\pi\)
−0.870396 + 0.492352i \(0.836137\pi\)
\(410\) 6.05297 5.07905i 0.298935 0.250836i
\(411\) −0.881923 5.00164i −0.0435021 0.246713i
\(412\) 4.89657 + 1.78220i 0.241237 + 0.0878029i
\(413\) 27.3727 1.34692
\(414\) −12.9581 4.71636i −0.636855 0.231796i
\(415\) −6.62726 + 11.4788i −0.325320 + 0.563470i
\(416\) −0.763687 + 4.33109i −0.0374428 + 0.212349i
\(417\) −0.463672 0.803104i −0.0227061 0.0393282i
\(418\) −3.63046 + 6.28814i −0.177572 + 0.307563i
\(419\) −1.60254 1.34469i −0.0782891 0.0656923i 0.602803 0.797890i \(-0.294050\pi\)
−0.681092 + 0.732197i \(0.738495\pi\)
\(420\) −0.339237 1.92391i −0.0165531 0.0938771i
\(421\) 6.95195 + 12.0411i 0.338817 + 0.586849i 0.984211 0.177002i \(-0.0566398\pi\)
−0.645393 + 0.763850i \(0.723307\pi\)
\(422\) −14.5152 + 5.28310i −0.706589 + 0.257177i
\(423\) 15.6079 5.68081i 0.758882 0.276211i
\(424\) −0.908877 + 5.15450i −0.0441390 + 0.250325i
\(425\) −4.29990 + 3.60804i −0.208576 + 0.175016i
\(426\) −6.17428 + 5.18084i −0.299145 + 0.251012i
\(427\) 6.16968 34.9900i 0.298572 1.69328i
\(428\) −0.125387 + 0.0456372i −0.00606082 + 0.00220596i
\(429\) 5.97097 2.17325i 0.288281 0.104926i
\(430\) −2.82495 4.89296i −0.136231 0.235960i
\(431\) −3.53312 20.0373i −0.170184 0.965163i −0.943557 0.331211i \(-0.892543\pi\)
0.773372 0.633952i \(-0.218568\pi\)
\(432\) 3.22994 + 2.71024i 0.155401 + 0.130397i
\(433\) 13.1216 22.7274i 0.630586 1.09221i −0.356846 0.934163i \(-0.616148\pi\)
0.987432 0.158044i \(-0.0505187\pi\)
\(434\) 11.9223 + 20.6500i 0.572289 + 0.991234i
\(435\) −0.561794 + 3.18609i −0.0269360 + 0.152762i
\(436\) 7.83801 13.5758i 0.375373 0.650165i
\(437\) −21.3466 7.76952i −1.02115 0.371667i
\(438\) 1.94087 0.0927384
\(439\) 28.7112 + 10.4500i 1.37031 + 0.498753i 0.919227 0.393728i \(-0.128815\pi\)
0.451085 + 0.892481i \(0.351037\pi\)
\(440\) 0.320576 + 1.81808i 0.0152829 + 0.0866734i
\(441\) 1.40641 1.18012i 0.0669720 0.0561962i
\(442\) 18.9105 + 15.8678i 0.899482 + 0.754755i
\(443\) −8.52098 −0.404844 −0.202422 0.979298i \(-0.564881\pi\)
−0.202422 + 0.979298i \(0.564881\pi\)
\(444\) 2.48114 + 4.06281i 0.117750 + 0.192812i
\(445\) −7.73458 −0.366654
\(446\) −6.19442 5.19774i −0.293314 0.246120i
\(447\) 2.38263 1.99927i 0.112695 0.0945621i
\(448\) −0.433461 2.45828i −0.0204791 0.116143i
\(449\) −4.26852 1.55361i −0.201444 0.0733196i 0.239328 0.970939i \(-0.423073\pi\)
−0.440772 + 0.897619i \(0.645295\pi\)
\(450\) −2.38750 −0.112548
\(451\) −13.7076 4.98915i −0.645465 0.234930i
\(452\) −1.55172 + 2.68766i −0.0729869 + 0.126417i
\(453\) 0.506619 2.87318i 0.0238030 0.134994i
\(454\) −2.19562 3.80292i −0.103045 0.178480i
\(455\) 5.48902 9.50726i 0.257329 0.445707i
\(456\) 2.35797 + 1.97857i 0.110422 + 0.0926551i
\(457\) 1.96843 + 11.1635i 0.0920792 + 0.522207i 0.995603 + 0.0936700i \(0.0298599\pi\)
−0.903524 + 0.428537i \(0.859029\pi\)
\(458\) −11.1547 19.3206i −0.521227 0.902791i
\(459\) 22.2398 8.09462i 1.03806 0.377824i
\(460\) −5.42747 + 1.97544i −0.253057 + 0.0921052i
\(461\) −4.26627 + 24.1952i −0.198700 + 1.12688i 0.708351 + 0.705861i \(0.249440\pi\)
−0.907050 + 0.421022i \(0.861672\pi\)
\(462\) −2.76278 + 2.31825i −0.128536 + 0.107855i
\(463\) −23.2747 + 19.5298i −1.08167 + 0.907625i −0.996058 0.0887036i \(-0.971728\pi\)
−0.0856077 + 0.996329i \(0.527283\pi\)
\(464\) −0.717835 + 4.07104i −0.0333246 + 0.188993i
\(465\) −7.02505 + 2.55691i −0.325779 + 0.118574i
\(466\) 12.7978 4.65804i 0.592849 0.215779i
\(467\) −13.0696 22.6372i −0.604788 1.04752i −0.992085 0.125569i \(-0.959924\pi\)
0.387296 0.921955i \(-0.373409\pi\)
\(468\) 1.82330 + 10.3405i 0.0842822 + 0.477988i
\(469\) 7.62163 + 6.39531i 0.351934 + 0.295308i
\(470\) 3.47845 6.02485i 0.160449 0.277906i
\(471\) −2.30189 3.98699i −0.106065 0.183711i
\(472\) −1.90418 + 10.7991i −0.0876471 + 0.497071i
\(473\) −5.21521 + 9.03301i −0.239796 + 0.415338i
\(474\) −8.56095 3.11593i −0.393218 0.143119i
\(475\) −3.93306 −0.180461
\(476\) −13.1665 4.79221i −0.603485 0.219650i
\(477\) 2.16994 + 12.3064i 0.0993549 + 0.563470i
\(478\) −2.78694 + 2.33852i −0.127472 + 0.106962i
\(479\) 25.0459 + 21.0160i 1.14438 + 0.960245i 0.999573 0.0292155i \(-0.00930091\pi\)
0.144802 + 0.989461i \(0.453745\pi\)
\(480\) 0.782624 0.0357217
\(481\) −3.99461 + 26.4515i −0.182139 + 1.20608i
\(482\) −20.3041 −0.924826
\(483\) −8.64367 7.25290i −0.393301 0.330018i
\(484\) −5.81568 + 4.87994i −0.264349 + 0.221815i
\(485\) −2.30605 13.0783i −0.104713 0.593854i
\(486\) 14.7270 + 5.36020i 0.668031 + 0.243143i
\(487\) 27.2002 1.23256 0.616279 0.787528i \(-0.288639\pi\)
0.616279 + 0.787528i \(0.288639\pi\)
\(488\) 13.3752 + 4.86816i 0.605465 + 0.220371i
\(489\) −1.89004 + 3.27365i −0.0854707 + 0.148040i
\(490\) 0.133532 0.757298i 0.00603236 0.0342112i
\(491\) 0.222122 + 0.384726i 0.0100242 + 0.0173625i 0.870994 0.491294i \(-0.163476\pi\)
−0.860970 + 0.508656i \(0.830142\pi\)
\(492\) −3.09199 + 5.35548i −0.139398 + 0.241444i
\(493\) 17.7751 + 14.9151i 0.800551 + 0.671742i
\(494\) 3.00363 + 17.0344i 0.135140 + 0.766416i
\(495\) 2.20381 + 3.81711i 0.0990538 + 0.171566i
\(496\) −8.97628 + 3.26710i −0.403047 + 0.146697i
\(497\) 24.1571 8.79247i 1.08359 0.394396i
\(498\) 1.80131 10.2157i 0.0807185 0.457777i
\(499\) −9.66142 + 8.10690i −0.432505 + 0.362914i −0.832896 0.553430i \(-0.813319\pi\)
0.400391 + 0.916344i \(0.368874\pi\)
\(500\) −0.766044 + 0.642788i −0.0342585 + 0.0287463i
\(501\) 0.427921 2.42686i 0.0191181 0.108424i
\(502\) −11.9518 + 4.35009i −0.533433 + 0.194154i
\(503\) 10.5154 3.82730i 0.468859 0.170651i −0.0967764 0.995306i \(-0.530853\pi\)
0.565635 + 0.824655i \(0.308631\pi\)
\(504\) −2.97984 5.16123i −0.132733 0.229900i
\(505\) 2.10779 + 11.9539i 0.0937956 + 0.531941i
\(506\) 8.16819 + 6.85393i 0.363121 + 0.304694i
\(507\) 2.48151 4.29811i 0.110208 0.190886i
\(508\) −9.86471 17.0862i −0.437676 0.758076i
\(509\) 2.25677 12.7988i 0.100029 0.567295i −0.893060 0.449937i \(-0.851446\pi\)
0.993090 0.117358i \(-0.0374425\pi\)
\(510\) 2.19648 3.80442i 0.0972618 0.168462i
\(511\) −5.81713 2.11726i −0.257335 0.0936622i
\(512\) 1.00000 0.0441942
\(513\) 15.5832 + 5.67183i 0.688016 + 0.250417i
\(514\) 0.956651 + 5.42544i 0.0421961 + 0.239306i
\(515\) 3.99172 3.34945i 0.175896 0.147594i
\(516\) 3.38726 + 2.84225i 0.149116 + 0.125123i
\(517\) −12.8433 −0.564847
\(518\) −3.00438 14.8836i −0.132005 0.653948i
\(519\) −14.1055 −0.619161
\(520\) 3.36899 + 2.82692i 0.147740 + 0.123968i
\(521\) 9.15331 7.68054i 0.401014 0.336491i −0.419871 0.907584i \(-0.637925\pi\)
0.820885 + 0.571093i \(0.193480\pi\)
\(522\) 1.71383 + 9.71961i 0.0750123 + 0.425416i
\(523\) −20.8462 7.58738i −0.911539 0.331773i −0.156672 0.987651i \(-0.550077\pi\)
−0.754867 + 0.655878i \(0.772299\pi\)
\(524\) 8.01206 0.350008
\(525\) −1.83577 0.668166i −0.0801196 0.0291612i
\(526\) −13.0879 + 22.6690i −0.570661 + 0.988413i
\(527\) −9.31076 + 52.8040i −0.405583 + 2.30018i
\(528\) −0.722410 1.25125i −0.0314388 0.0544537i
\(529\) −5.17989 + 8.97183i −0.225213 + 0.390080i
\(530\) 4.00949 + 3.36436i 0.174161 + 0.146138i
\(531\) 4.54623 + 25.7830i 0.197290 + 1.11889i
\(532\) −4.90886 8.50239i −0.212826 0.368626i
\(533\) −32.6547 + 11.8853i −1.41443 + 0.514811i
\(534\) 5.68821 2.07034i 0.246153 0.0895924i
\(535\) −0.0231706 + 0.131407i −0.00100175 + 0.00568122i
\(536\) −3.05329 + 2.56202i −0.131882 + 0.110662i
\(537\) −7.31513 + 6.13812i −0.315671 + 0.264879i
\(538\) −3.58229 + 20.3162i −0.154444 + 0.875893i
\(539\) −1.33402 + 0.485543i −0.0574602 + 0.0209138i
\(540\) 3.96211 1.44209i 0.170502 0.0620576i
\(541\) 17.8740 + 30.9587i 0.768465 + 1.33102i 0.938395 + 0.345564i \(0.112313\pi\)
−0.169930 + 0.985456i \(0.554354\pi\)
\(542\) 1.54075 + 8.73801i 0.0661807 + 0.375330i
\(543\) 9.67935 + 8.12194i 0.415381 + 0.348546i
\(544\) 2.80656 4.86110i 0.120330 0.208418i
\(545\) −7.83801 13.5758i −0.335744 0.581525i
\(546\) −1.49193 + 8.46115i −0.0638487 + 0.362104i
\(547\) 15.1908 26.3113i 0.649514 1.12499i −0.333726 0.942670i \(-0.608306\pi\)
0.983239 0.182320i \(-0.0583607\pi\)
\(548\) −6.09808 2.21952i −0.260497 0.0948132i
\(549\) 33.9826 1.45034
\(550\) 1.73479 + 0.631411i 0.0739716 + 0.0269235i
\(551\) 2.82329 + 16.0117i 0.120276 + 0.682120i
\(552\) 3.46273 2.90558i 0.147384 0.123670i
\(553\) 22.2596 + 18.6780i 0.946573 + 0.794269i
\(554\) 6.66063 0.282983
\(555\) 4.75907 0.117329i 0.202011 0.00498035i
\(556\) −1.18492 −0.0502517
\(557\) 7.22331 + 6.06108i 0.306061 + 0.256816i 0.782862 0.622196i \(-0.213759\pi\)
−0.476800 + 0.879012i \(0.658204\pi\)
\(558\) −17.4706 + 14.6596i −0.739590 + 0.620590i
\(559\) 4.31476 + 24.4702i 0.182495 + 1.03498i
\(560\) −2.34566 0.853751i −0.0991223 0.0360776i
\(561\) −8.10994 −0.342402
\(562\) 11.9994 + 4.36742i 0.506164 + 0.184229i
\(563\) −2.68033 + 4.64248i −0.112963 + 0.195657i −0.916963 0.398971i \(-0.869367\pi\)
0.804001 + 0.594628i \(0.202701\pi\)
\(564\) −0.945450 + 5.36192i −0.0398106 + 0.225777i
\(565\) 1.55172 + 2.68766i 0.0652814 + 0.113071i
\(566\) 12.3540 21.3978i 0.519277 0.899415i
\(567\) −7.38617 6.19774i −0.310190 0.260280i
\(568\) 1.78834 + 10.1422i 0.0750370 + 0.425556i
\(569\) 0.619881 + 1.07366i 0.0259868 + 0.0450104i 0.878726 0.477326i \(-0.158394\pi\)
−0.852740 + 0.522336i \(0.825061\pi\)
\(570\) 2.89248 1.05278i 0.121153 0.0440959i
\(571\) 4.48373 1.63195i 0.187638 0.0682948i −0.246492 0.969145i \(-0.579278\pi\)
0.434130 + 0.900850i \(0.357056\pi\)
\(572\) 1.40986 7.99571i 0.0589492 0.334318i
\(573\) 0.608230 0.510365i 0.0254092 0.0213208i
\(574\) 15.1094 12.6783i 0.630655 0.529183i
\(575\) −1.00296 + 5.68805i −0.0418262 + 0.237208i
\(576\) 2.24352 0.816573i 0.0934798 0.0340239i
\(577\) 16.0584 5.84478i 0.668520 0.243322i 0.0146097 0.999893i \(-0.495349\pi\)
0.653911 + 0.756572i \(0.273127\pi\)
\(578\) −7.25355 12.5635i −0.301708 0.522574i
\(579\) −3.39763 19.2689i −0.141201 0.800789i
\(580\) 3.16671 + 2.65718i 0.131490 + 0.110334i
\(581\) −16.5430 + 28.6533i −0.686319 + 1.18874i
\(582\) 5.19664 + 9.00084i 0.215408 + 0.373097i
\(583\) 1.67790 9.51584i 0.0694915 0.394106i
\(584\) 1.23998 2.14770i 0.0513106 0.0888726i
\(585\) 9.86676 + 3.59121i 0.407940 + 0.148478i
\(586\) −11.3373 −0.468341
\(587\) −15.2454 5.54887i −0.629245 0.229026i 0.00765771 0.999971i \(-0.497562\pi\)
−0.636903 + 0.770944i \(0.719785\pi\)
\(588\) 0.104505 + 0.592679i 0.00430973 + 0.0244417i
\(589\) −28.7803 + 24.1496i −1.18587 + 0.995065i
\(590\) 8.40025 + 7.04864i 0.345833 + 0.290188i
\(591\) 5.65560 0.232640
\(592\) 6.08091 0.149918i 0.249924 0.00616158i
\(593\) 39.9991 1.64257 0.821283 0.570521i \(-0.193259\pi\)
0.821283 + 0.570521i \(0.193259\pi\)
\(594\) −5.96286 5.00344i −0.244659 0.205293i
\(595\) −10.7334 + 9.00640i −0.440027 + 0.369226i
\(596\) −0.690114 3.91383i −0.0282682 0.160317i
\(597\) 9.49020 + 3.45415i 0.388408 + 0.141369i
\(598\) 25.4014 1.03874
\(599\) −16.1711 5.88580i −0.660733 0.240487i −0.0101804 0.999948i \(-0.503241\pi\)
−0.650553 + 0.759461i \(0.725463\pi\)
\(600\) 0.391312 0.677772i 0.0159752 0.0276699i
\(601\) 1.75715 9.96529i 0.0716756 0.406492i −0.927769 0.373156i \(-0.878276\pi\)
0.999444 0.0333364i \(-0.0106133\pi\)
\(602\) −7.05165 12.2138i −0.287404 0.497798i
\(603\) −4.75804 + 8.24116i −0.193762 + 0.335606i
\(604\) −2.85570 2.39622i −0.116197 0.0975006i
\(605\) 1.31831 + 7.47650i 0.0535968 + 0.303963i
\(606\) −4.74986 8.22700i −0.192950 0.334199i
\(607\) 2.85874 1.04050i 0.116033 0.0422325i −0.283351 0.959016i \(-0.591446\pi\)
0.399384 + 0.916784i \(0.369224\pi\)
\(608\) 3.69587 1.34519i 0.149887 0.0545545i
\(609\) −1.40235 + 7.95313i −0.0568262 + 0.322277i
\(610\) 10.9035 9.14914i 0.441471 0.370438i
\(611\) −23.4377 + 19.6666i −0.948187 + 0.795624i
\(612\) 2.32711 13.1977i 0.0940680 0.533486i
\(613\) −17.4722 + 6.35936i −0.705695 + 0.256852i −0.669840 0.742505i \(-0.733638\pi\)
−0.0358545 + 0.999357i \(0.511415\pi\)
\(614\) −1.10270 + 0.401351i −0.0445014 + 0.0161972i
\(615\) 3.09199 + 5.35548i 0.124681 + 0.215954i
\(616\) 0.800222 + 4.53828i 0.0322418 + 0.182853i
\(617\) 2.92981 + 2.45840i 0.117950 + 0.0989716i 0.699855 0.714285i \(-0.253248\pi\)
−0.581905 + 0.813257i \(0.697692\pi\)
\(618\) −2.03905 + 3.53175i −0.0820228 + 0.142068i
\(619\) −1.90643 3.30203i −0.0766258 0.132720i 0.825166 0.564890i \(-0.191081\pi\)
−0.901792 + 0.432170i \(0.857748\pi\)
\(620\) −1.65875 + 9.40724i −0.0666170 + 0.377804i
\(621\) 12.1765 21.0903i 0.488626 0.846324i
\(622\) 26.4929 + 9.64262i 1.06227 + 0.386634i
\(623\) −19.3071 −0.773521
\(624\) −3.23433 1.17720i −0.129477 0.0471257i
\(625\) 0.173648 + 0.984808i 0.00694593 + 0.0393923i
\(626\) 22.1463 18.5830i 0.885144 0.742724i
\(627\) −4.35310 3.65268i −0.173846 0.145874i
\(628\) −5.88249 −0.234737
\(629\) 16.3377 29.9807i 0.651426 1.19541i
\(630\) −5.95968 −0.237439
\(631\) −18.1936 15.2662i −0.724275 0.607739i 0.204289 0.978911i \(-0.434512\pi\)
−0.928564 + 0.371172i \(0.878956\pi\)
\(632\) −8.91738 + 7.48257i −0.354714 + 0.297641i
\(633\) −2.09923 11.9053i −0.0834370 0.473195i
\(634\) −26.9617 9.81325i −1.07079 0.389734i
\(635\) −19.7294 −0.782938
\(636\) −3.84923 1.40101i −0.152632 0.0555535i
\(637\) −1.69095 + 2.92881i −0.0669979 + 0.116044i
\(638\) 1.32521 7.51564i 0.0524656 0.297547i
\(639\) 12.2940 + 21.2938i 0.486343 + 0.842370i
\(640\) 0.500000 0.866025i 0.0197642 0.0342327i
\(641\) 36.0346 + 30.2366i 1.42328 + 1.19428i 0.949554 + 0.313604i \(0.101536\pi\)
0.473728 + 0.880671i \(0.342908\pi\)
\(642\) −0.0181339 0.102842i −0.000715687 0.00405886i
\(643\) 1.47954 + 2.56263i 0.0583472 + 0.101060i 0.893724 0.448618i \(-0.148084\pi\)
−0.835376 + 0.549678i \(0.814750\pi\)
\(644\) −13.5481 + 4.93109i −0.533868 + 0.194312i
\(645\) 4.15509 1.51233i 0.163606 0.0595479i
\(646\) 3.83359 21.7414i 0.150831 0.855402i
\(647\) −38.7635 + 32.5265i −1.52395 + 1.27875i −0.695814 + 0.718223i \(0.744956\pi\)
−0.828138 + 0.560525i \(0.810600\pi\)
\(648\) 2.95897 2.48287i 0.116239 0.0975362i
\(649\) 3.51535 19.9366i 0.137990 0.782578i
\(650\) 4.13267 1.50417i 0.162097 0.0589984i
\(651\) −17.5359 + 6.38256i −0.687288 + 0.250152i
\(652\) 2.41501 + 4.18292i 0.0945791 + 0.163816i
\(653\) −3.44155 19.5180i −0.134678 0.763799i −0.975083 0.221840i \(-0.928794\pi\)
0.840405 0.541959i \(-0.182317\pi\)
\(654\) 9.39817 + 7.88600i 0.367497 + 0.308367i
\(655\) 4.00603 6.93865i 0.156528 0.271115i
\(656\) 3.95080 + 6.84298i 0.154253 + 0.267173i
\(657\) 1.02815 5.83094i 0.0401120 0.227487i
\(658\) 8.68290 15.0392i 0.338495 0.586290i
\(659\) −16.9828 6.18122i −0.661555 0.240786i −0.0106474 0.999943i \(-0.503389\pi\)
−0.650908 + 0.759157i \(0.725611\pi\)
\(660\) −1.44482 −0.0562395
\(661\) −35.5437 12.9369i −1.38249 0.503186i −0.459559 0.888147i \(-0.651992\pi\)
−0.922933 + 0.384962i \(0.874215\pi\)
\(662\) −3.37438 19.1371i −0.131149 0.743783i
\(663\) −14.7998 + 12.4185i −0.574778 + 0.482296i
\(664\) −10.1536 8.51985i −0.394034 0.330634i
\(665\) −9.81772 −0.380715
\(666\) 13.5202 5.30185i 0.523898 0.205443i
\(667\) 23.8762 0.924491
\(668\) −2.41210 2.02399i −0.0933268 0.0783105i
\(669\) 4.84790 4.06787i 0.187431 0.157273i
\(670\) 0.692125 + 3.92524i 0.0267391 + 0.151645i
\(671\) −24.6922 8.98721i −0.953231 0.346948i
\(672\) 1.95359 0.0753612
\(673\) −6.19769 2.25577i −0.238903 0.0869537i 0.219794 0.975546i \(-0.429462\pi\)
−0.458697 + 0.888593i \(0.651684\pi\)
\(674\) −1.90171 + 3.29386i −0.0732511 + 0.126875i
\(675\) 0.732168 4.15233i 0.0281811 0.159823i
\(676\) −3.17076 5.49192i −0.121952 0.211228i
\(677\) 15.5523 26.9373i 0.597722 1.03529i −0.395434 0.918494i \(-0.629406\pi\)
0.993156 0.116791i \(-0.0372608\pi\)
\(678\) −1.86059 1.56122i −0.0714556 0.0599583i
\(679\) −5.75638 32.6460i −0.220909 1.25284i
\(680\) −2.80656 4.86110i −0.107627 0.186415i
\(681\) 3.22943 1.17541i 0.123752 0.0450420i
\(682\) 16.5713 6.03147i 0.634549 0.230957i
\(683\) −2.07619 + 11.7747i −0.0794432 + 0.450545i 0.918975 + 0.394316i \(0.129019\pi\)
−0.998418 + 0.0562283i \(0.982093\pi\)
\(684\) 7.19330 6.03590i 0.275043 0.230788i
\(685\) −4.97120 + 4.17133i −0.189940 + 0.159378i
\(686\) 3.36755 19.0983i 0.128574 0.729177i
\(687\) 16.4070 5.97165i 0.625965 0.227833i
\(688\) 5.30918 1.93238i 0.202410 0.0736714i
\(689\) −11.5093 19.9348i −0.438471 0.759454i
\(690\) −0.784937 4.45160i −0.0298820 0.169470i
\(691\) −9.43280 7.91506i −0.358841 0.301103i 0.445488 0.895288i \(-0.353030\pi\)
−0.804328 + 0.594185i \(0.797475\pi\)
\(692\) −9.01165 + 15.6086i −0.342571 + 0.593351i
\(693\) 5.50115 + 9.52827i 0.208971 + 0.361949i
\(694\) −3.39503 + 19.2542i −0.128874 + 0.730879i
\(695\) −0.592459 + 1.02617i −0.0224732 + 0.0389248i
\(696\) −3.04014 1.10652i −0.115236 0.0419425i
\(697\) 44.3526 1.67997
\(698\) 16.9559 + 6.17143i 0.641789 + 0.233592i
\(699\) 1.85086 + 10.4968i 0.0700061 + 0.397024i
\(700\) −1.91220 + 1.60453i −0.0722744 + 0.0606454i
\(701\) 8.79838 + 7.38272i 0.332310 + 0.278841i 0.793640 0.608387i \(-0.208183\pi\)
−0.461330 + 0.887229i \(0.652628\pi\)
\(702\) −18.5432 −0.699870
\(703\) 22.2726 8.73405i 0.840027 0.329411i
\(704\) −1.84612 −0.0695784
\(705\) 4.17083 + 3.49974i 0.157083 + 0.131808i
\(706\) 21.5850 18.1119i 0.812361 0.681652i
\(707\) 5.26147 + 29.8393i 0.197878 + 1.12222i
\(708\) −8.06449 2.93523i −0.303082 0.110313i
\(709\) −7.56551 −0.284129 −0.142064 0.989857i \(-0.545374\pi\)
−0.142064 + 0.989857i \(0.545374\pi\)
\(710\) 9.67755 + 3.52234i 0.363192 + 0.132191i
\(711\) −13.8962 + 24.0690i −0.521149 + 0.902656i
\(712\) 1.34310 7.61708i 0.0503346 0.285462i
\(713\) 27.5862 + 47.7808i 1.03311 + 1.78940i
\(714\) 5.48286 9.49659i 0.205191 0.355401i
\(715\) −6.21956 5.21883i −0.232598 0.195173i
\(716\) 2.11878 + 12.0162i 0.0791824 + 0.449065i
\(717\) −1.42363 2.46580i −0.0531665 0.0920870i
\(718\) −19.8031 + 7.20774i −0.739045 + 0.268990i
\(719\) −29.0468 + 10.5722i −1.08326 + 0.394275i −0.821120 0.570755i \(-0.806651\pi\)
−0.262141 + 0.965030i \(0.584428\pi\)
\(720\) 0.414585 2.35123i 0.0154507 0.0876251i
\(721\) 9.96413 8.36090i 0.371084 0.311376i
\(722\) −2.70491 + 2.26969i −0.100666 + 0.0844690i
\(723\) 2.75935 15.6491i 0.102621 0.581995i
\(724\) 15.1714 5.52193i 0.563840 0.205221i
\(725\) 3.88454 1.41386i 0.144268 0.0525094i
\(726\) −2.97077 5.14553i −0.110256 0.190969i
\(727\) 1.16881 + 6.62866i 0.0433488 + 0.245843i 0.998781 0.0493685i \(-0.0157209\pi\)
−0.955432 + 0.295212i \(0.904610\pi\)
\(728\) 8.40967 + 7.05655i 0.311683 + 0.261533i
\(729\) −0.338722 + 0.586683i −0.0125453 + 0.0217290i
\(730\) −1.23998 2.14770i −0.0458936 0.0794901i
\(731\) 5.50701 31.2318i 0.203684 1.15515i
\(732\) −5.56975 + 9.64710i −0.205864 + 0.356567i
\(733\) 21.0247 + 7.65237i 0.776566 + 0.282647i 0.699740 0.714398i \(-0.253299\pi\)
0.0768259 + 0.997045i \(0.475521\pi\)
\(734\) −14.0640 −0.519113
\(735\) 0.565528 + 0.205835i 0.0208598 + 0.00759235i
\(736\) −1.00296 5.68805i −0.0369694 0.209664i
\(737\) 5.63675 4.72980i 0.207632 0.174224i
\(738\) 14.4515 + 12.1262i 0.531966 + 0.446372i
\(739\) 17.2865 0.635895 0.317947 0.948108i \(-0.397006\pi\)
0.317947 + 0.948108i \(0.397006\pi\)
\(740\) 2.91062 5.34119i 0.106997 0.196346i
\(741\) −13.5372 −0.497302
\(742\) 10.0085 + 8.39812i 0.367423 + 0.308305i
\(743\) −24.7399 + 20.7593i −0.907621 + 0.761584i −0.971665 0.236363i \(-0.924045\pi\)
0.0640443 + 0.997947i \(0.479600\pi\)
\(744\) −1.29818 7.36233i −0.0475935 0.269916i
\(745\) −3.73453 1.35926i −0.136823 0.0497994i
\(746\) −2.41095 −0.0882710
\(747\) −29.7367 10.8233i −1.08801 0.396004i
\(748\) −5.18125 + 8.97419i −0.189445 + 0.328129i
\(749\) −0.0578385 + 0.328018i −0.00211337 + 0.0119855i
\(750\) −0.391312 0.677772i −0.0142887 0.0247487i
\(751\) 8.17649 14.1621i 0.298364 0.516782i −0.677398 0.735617i \(-0.736892\pi\)
0.975762 + 0.218835i \(0.0702257\pi\)
\(752\) 5.32929 + 4.47181i 0.194339 + 0.163070i
\(753\) −1.72850 9.80282i −0.0629901 0.357234i
\(754\) −9.09012 15.7445i −0.331043 0.573382i
\(755\) −3.50303 + 1.27500i −0.127488 + 0.0464020i
\(756\) 9.89022 3.59974i 0.359704 0.130921i
\(757\) 3.22218 18.2739i 0.117112 0.664177i −0.868570 0.495566i \(-0.834961\pi\)
0.985683 0.168611i \(-0.0539281\pi\)
\(758\) −19.8974 + 16.6959i −0.722707 + 0.606423i
\(759\) −6.39262 + 5.36405i −0.232038 + 0.194703i
\(760\) 0.682969 3.87331i 0.0247739 0.140500i
\(761\) −42.4002 + 15.4324i −1.53701 + 0.559425i −0.965325 0.261050i \(-0.915931\pi\)
−0.571682 + 0.820475i \(0.693709\pi\)
\(762\) 14.5095 5.28103i 0.525624 0.191312i
\(763\) −19.5653 33.8880i −0.708310 1.22683i
\(764\) −0.176169 0.999107i −0.00637359 0.0361464i
\(765\) −10.2660 8.61420i −0.371168 0.311447i
\(766\) 7.22134 12.5077i 0.260918 0.451923i
\(767\) −24.1131 41.7651i −0.870674 1.50805i
\(768\) −0.135901 + 0.770734i −0.00490391 + 0.0278115i
\(769\) −15.3833 + 26.6446i −0.554735 + 0.960829i 0.443189 + 0.896428i \(0.353847\pi\)
−0.997924 + 0.0644010i \(0.979486\pi\)
\(770\) 4.33038 + 1.57613i 0.156056 + 0.0567997i
\(771\) −4.31158 −0.155278
\(772\) −23.4930 8.55076i −0.845532 0.307748i
\(773\) 0.134983 + 0.765527i 0.00485500 + 0.0275341i 0.987139 0.159864i \(-0.0511056\pi\)
−0.982284 + 0.187398i \(0.939995\pi\)
\(774\) 10.3333 8.67066i 0.371423 0.311660i
\(775\) 7.31753 + 6.14014i 0.262854 + 0.220560i
\(776\) 13.2800 0.476726
\(777\) 11.8796 0.292877i 0.426178 0.0105069i
\(778\) −14.5305 −0.520943
\(779\) 23.8067 + 19.9762i 0.852964 + 0.715722i
\(780\) −2.63665 + 2.21241i −0.0944072 + 0.0792170i
\(781\) −3.30149 18.7237i −0.118137 0.669986i
\(782\) −30.4650 11.0884i −1.08943 0.396519i
\(783\) −17.4299 −0.622893
\(784\) 0.722605 + 0.263007i 0.0258073 + 0.00939310i
\(785\) −2.94124 + 5.09438i −0.104978 + 0.181826i
\(786\) −1.08885 + 6.17517i −0.0388379 + 0.220261i
\(787\) 17.0851 + 29.5922i 0.609017 + 1.05485i 0.991403 + 0.130845i \(0.0417691\pi\)
−0.382386 + 0.924003i \(0.624898\pi\)
\(788\) 3.61323 6.25830i 0.128716 0.222943i
\(789\) −15.6931 13.1680i −0.558688 0.468795i
\(790\) 2.02141 + 11.4640i 0.0719184 + 0.407869i
\(791\) 3.87341 + 6.70894i 0.137723 + 0.238543i
\(792\) −4.14181 + 1.50749i −0.147173 + 0.0535665i
\(793\) −58.8226 + 21.4097i −2.08885 + 0.760280i
\(794\) −4.84664 + 27.4867i −0.172001 + 0.975465i
\(795\) −3.13792 + 2.63303i −0.111291 + 0.0933839i
\(796\) 9.88531 8.29476i 0.350376 0.294000i
\(797\) 3.06123 17.3611i 0.108434 0.614962i −0.881358 0.472448i \(-0.843370\pi\)
0.989793 0.142514i \(-0.0455185\pi\)
\(798\) 7.22020 2.62794i 0.255592 0.0930280i
\(799\) 36.6949 13.3558i 1.29817 0.472496i
\(800\) −0.500000 0.866025i −0.0176777 0.0306186i
\(801\) −3.20664 18.1858i −0.113301 0.642562i
\(802\) −11.6684 9.79099i −0.412027 0.345732i
\(803\) −2.28915 + 3.96492i −0.0807823 + 0.139919i
\(804\) −1.55969 2.70146i −0.0550059 0.0952731i
\(805\) −2.50358 + 14.1985i −0.0882396 + 0.500432i
\(806\) 21.0052 36.3820i 0.739875 1.28150i
\(807\) −15.1715 5.52199i −0.534063 0.194383i
\(808\) −12.1383 −0.427024
\(809\) −13.2772 4.83252i −0.466803 0.169902i 0.0979007 0.995196i \(-0.468787\pi\)
−0.564703 + 0.825294i \(0.691009\pi\)
\(810\) −0.670743 3.80397i −0.0235675 0.133658i
\(811\) 32.7956 27.5188i 1.15161 0.966316i 0.151854 0.988403i \(-0.451476\pi\)
0.999756 + 0.0220873i \(0.00703117\pi\)
\(812\) 7.90474 + 6.63287i 0.277402 + 0.232768i
\(813\) −6.94407 −0.243539
\(814\) −11.2261 + 0.276766i −0.393475 + 0.00970066i
\(815\) 4.83002 0.169188
\(816\) 3.36520 + 2.82374i 0.117806 + 0.0988507i
\(817\) 17.0226 14.2837i 0.595546 0.499722i
\(818\) −2.46027 13.9529i −0.0860214 0.487851i
\(819\) 24.6294 + 8.96437i 0.860621 + 0.313241i
\(820\) 7.90159 0.275936
\(821\) −3.97597 1.44713i −0.138762 0.0505053i 0.271706 0.962380i \(-0.412412\pi\)
−0.410468 + 0.911875i \(0.634635\pi\)
\(822\) 2.53940 4.39836i 0.0885716 0.153411i
\(823\) 0.966612 5.48193i 0.0336940 0.191088i −0.963315 0.268373i \(-0.913514\pi\)
0.997009 + 0.0772850i \(0.0246251\pi\)
\(824\) 2.60541 + 4.51270i 0.0907637 + 0.157207i
\(825\) −0.722410 + 1.25125i −0.0251511 + 0.0435629i
\(826\) 20.9687 + 17.5948i 0.729595 + 0.612203i
\(827\) −5.75492 32.6378i −0.200118 1.13493i −0.904939 0.425541i \(-0.860084\pi\)
0.704821 0.709385i \(-0.251027\pi\)
\(828\) −6.89485 11.9422i −0.239613 0.415021i
\(829\) 32.9666 11.9989i 1.14498 0.416738i 0.301270 0.953539i \(-0.402590\pi\)
0.843709 + 0.536801i \(0.180367\pi\)
\(830\) −12.4552 + 4.53332i −0.432326 + 0.157354i
\(831\) −0.905188 + 5.13357i −0.0314006 + 0.178082i
\(832\) −3.36899 + 2.82692i −0.116799 + 0.0980057i
\(833\) 3.30654 2.77451i 0.114565 0.0961312i
\(834\) 0.161032 0.913256i 0.00557607 0.0316235i
\(835\) −2.95887 + 1.07694i −0.102396 + 0.0372691i
\(836\) −6.82303 + 2.48338i −0.235979 + 0.0858895i
\(837\) −20.1382 34.8804i −0.696079 1.20564i
\(838\) −0.363266 2.06018i −0.0125488 0.0711678i
\(839\) −28.7940 24.1610i −0.994080 0.834132i −0.00792640 0.999969i \(-0.502523\pi\)
−0.986153 + 0.165837i \(0.946968\pi\)
\(840\) 0.976793 1.69186i 0.0337026 0.0583746i
\(841\) 5.95566 + 10.3155i 0.205368 + 0.355707i
\(842\) −2.41439 + 13.6927i −0.0832052 + 0.471880i
\(843\) −4.99685 + 8.65480i −0.172101 + 0.298087i
\(844\) −14.5152 5.28310i −0.499634 0.181852i
\(845\) −6.34152 −0.218155
\(846\) 15.6079 + 5.68081i 0.536611 + 0.195310i
\(847\) 3.29076 + 18.6628i 0.113072 + 0.641263i
\(848\) −4.00949 + 3.36436i −0.137686 + 0.115533i
\(849\) 14.8131 + 12.4296i 0.508383 + 0.426584i
\(850\) −5.61312 −0.192528
\(851\) −6.95163 34.4382i −0.238299 1.18052i
\(852\) −8.05995 −0.276129
\(853\) 23.6394 + 19.8359i 0.809399 + 0.679167i 0.950464 0.310834i \(-0.100608\pi\)
−0.141065 + 0.990000i \(0.545053\pi\)
\(854\) 27.2174 22.8381i 0.931360 0.781504i
\(855\) −1.63059 9.24753i −0.0557650 0.316259i
\(856\) −0.125387 0.0456372i −0.00428565 0.00155985i
\(857\) −51.5968 −1.76251 −0.881256 0.472639i \(-0.843302\pi\)
−0.881256 + 0.472639i \(0.843302\pi\)
\(858\) 5.97097 + 2.17325i 0.203845 + 0.0741937i
\(859\) 25.4073 44.0067i 0.866885 1.50149i 0.00172177 0.999999i \(-0.499452\pi\)
0.865163 0.501490i \(-0.167215\pi\)
\(860\) 0.981096 5.56407i 0.0334551 0.189733i
\(861\) 7.71822 + 13.3684i 0.263036 + 0.455592i
\(862\) 10.1732 17.6205i 0.346501 0.600157i
\(863\) 4.84331 + 4.06402i 0.164868 + 0.138341i 0.721489 0.692426i \(-0.243458\pi\)
−0.556621 + 0.830767i \(0.687902\pi\)
\(864\) 0.732168 + 4.15233i 0.0249089 + 0.141265i
\(865\) 9.01165 + 15.6086i 0.306405 + 0.530709i
\(866\) 24.6606 8.97573i 0.838002 0.305008i
\(867\) 10.6689 3.88316i 0.362335 0.131879i
\(868\) −4.14057 + 23.4824i −0.140540 + 0.797043i
\(869\) 16.4626 13.8137i 0.558454 0.468599i
\(870\) −2.47834 + 2.07958i −0.0840237 + 0.0705042i
\(871\) 3.04390 17.2628i 0.103139 0.584928i
\(872\) 14.7306 5.36152i 0.498843 0.181564i
\(873\) 29.7940 10.8441i 1.00837 0.367018i
\(874\) −11.3583 19.6731i −0.384200 0.665453i
\(875\) 0.433461 + 2.45828i 0.0146536 + 0.0831050i
\(876\) 1.48679 + 1.24757i 0.0502341 + 0.0421514i
\(877\) −29.0190 + 50.2624i −0.979903 + 1.69724i −0.317199 + 0.948359i \(0.602742\pi\)
−0.662703 + 0.748882i \(0.730591\pi\)
\(878\) 15.2769 + 26.4604i 0.515571 + 0.892996i
\(879\) 1.54076 8.73806i 0.0519684 0.294728i
\(880\) −0.923061 + 1.59879i −0.0311164 + 0.0538952i
\(881\) −3.00680 1.09438i −0.101302 0.0368707i 0.290872 0.956762i \(-0.406055\pi\)
−0.392174 + 0.919891i \(0.628277\pi\)
\(882\) 1.83594 0.0618193
\(883\) 26.1435 + 9.51545i 0.879799 + 0.320221i 0.742128 0.670258i \(-0.233816\pi\)
0.137670 + 0.990478i \(0.456039\pi\)
\(884\) 4.28667 + 24.3109i 0.144176 + 0.817664i
\(885\) −6.57423 + 5.51644i −0.220990 + 0.185433i
\(886\) −6.52745 5.47718i −0.219294 0.184009i
\(887\) −33.0863 −1.11093 −0.555465 0.831540i \(-0.687460\pi\)
−0.555465 + 0.831540i \(0.687460\pi\)
\(888\) −0.710857 + 4.70714i −0.0238548 + 0.157961i
\(889\) −49.2486 −1.65174
\(890\) −5.92503 4.97169i −0.198608 0.166652i
\(891\) −5.46261 + 4.58368i −0.183004 + 0.153559i
\(892\) −1.40416 7.96339i −0.0470148 0.266634i
\(893\) 25.7118 + 9.35833i 0.860412 + 0.313164i
\(894\) 3.11031 0.104024
\(895\) 11.4657 + 4.17317i 0.383256 + 0.139494i
\(896\) 1.24810 2.16177i 0.0416961 0.0722198i
\(897\) −3.45207 + 19.5777i −0.115261 + 0.653680i
\(898\) −2.27123 3.93389i −0.0757920 0.131276i
\(899\) 19.7440 34.1976i 0.658499 1.14055i
\(900\) −1.82893 1.53466i −0.0609644 0.0511552i
\(901\) 5.10164 + 28.9328i 0.169960 + 0.963892i
\(902\) −7.29365 12.6330i −0.242852 0.420632i
\(903\) 10.3719 3.77508i 0.345156 0.125627i
\(904\) −2.91628 + 1.06144i −0.0969941 + 0.0353030i
\(905\) 2.80356 15.8998i 0.0931934 0.528526i
\(906\) 2.23494 1.87534i 0.0742508 0.0623038i
\(907\) 27.9613 23.4624i 0.928441 0.779055i −0.0470956 0.998890i \(-0.514997\pi\)
0.975537 + 0.219836i \(0.0705521\pi\)
\(908\) 0.762529 4.32452i 0.0253054 0.143514i
\(909\) −27.2325 + 9.91180i −0.903244 + 0.328754i
\(910\) 10.3160 3.75471i 0.341972 0.124467i
\(911\) 3.60682 + 6.24720i 0.119499 + 0.206979i 0.919569 0.392928i \(-0.128538\pi\)
−0.800070 + 0.599907i \(0.795204\pi\)
\(912\) 0.534508 + 3.03135i 0.0176993 + 0.100378i
\(913\) 18.7447 + 15.7287i 0.620359 + 0.520543i
\(914\) −5.66787 + 9.81703i −0.187476 + 0.324719i
\(915\) 5.56975 + 9.64710i 0.184130 + 0.318923i
\(916\) 3.87400 21.9705i 0.128001 0.725927i
\(917\) 9.99985 17.3203i 0.330224 0.571965i
\(918\) 22.2398 + 8.09462i 0.734022 + 0.267162i
\(919\) −28.4683 −0.939081 −0.469541 0.882911i \(-0.655580\pi\)
−0.469541 + 0.882911i \(0.655580\pi\)
\(920\) −5.42747 1.97544i −0.178938 0.0651282i
\(921\) −0.159476 0.904434i −0.00525492 0.0298021i
\(922\) −18.8205 + 15.7923i −0.619821 + 0.520092i
\(923\) −34.6959 29.1134i −1.14203 0.958278i
\(924\) −3.60656 −0.118647
\(925\) −3.17029 5.19127i −0.104238 0.170688i
\(926\) −30.3829 −0.998445
\(927\) 9.53023 + 7.99681i 0.313014 + 0.262650i
\(928\) −3.16671 + 2.65718i −0.103952 + 0.0872263i
\(929\) −0.750274 4.25502i −0.0246157 0.139603i 0.970023 0.243013i \(-0.0781357\pi\)
−0.994639 + 0.103410i \(0.967025\pi\)
\(930\) −7.02505 2.55691i −0.230361 0.0838444i
\(931\) 3.02445 0.0991223
\(932\) 12.7978 + 4.65804i 0.419207 + 0.152579i
\(933\) −11.0323 + 19.1085i −0.361182 + 0.625585i
\(934\) 4.53902 25.7421i 0.148521 0.842306i
\(935\) 5.18125 + 8.97419i 0.169445 + 0.293487i
\(936\) −5.24999 + 9.09325i −0.171601 + 0.297222i
\(937\) 11.1703 + 9.37296i 0.364916 + 0.306201i 0.806747 0.590897i \(-0.201226\pi\)
−0.441830 + 0.897099i \(0.645671\pi\)
\(938\) 1.72768 + 9.79818i 0.0564109 + 0.319922i
\(939\) 11.3128 + 19.5944i 0.369179 + 0.639438i
\(940\) 6.53734 2.37940i 0.213225 0.0776074i
\(941\) −32.2086 + 11.7230i −1.04997 + 0.382157i −0.808651 0.588289i \(-0.799802\pi\)
−0.241318 + 0.970446i \(0.577580\pi\)
\(942\) 0.799437 4.53383i 0.0260471 0.147720i
\(943\) 34.9607 29.3355i 1.13848 0.955296i
\(944\) −8.40025 + 7.04864i −0.273405 + 0.229414i
\(945\) 1.82764 10.3650i 0.0594531 0.337175i
\(946\) −9.80139 + 3.56741i −0.318671 + 0.115987i
\(947\) 15.3614 5.59111i 0.499180 0.181687i −0.0801452 0.996783i \(-0.525538\pi\)
0.579325 + 0.815097i \(0.303316\pi\)
\(948\) −4.55519 7.88982i −0.147946 0.256249i
\(949\) 1.89391 + 10.7409i 0.0614789 + 0.348664i
\(950\) −3.01290 2.52812i −0.0977514 0.0820232i
\(951\) 11.2275 19.4467i 0.364078 0.630601i
\(952\) −7.00574 12.1343i −0.227057 0.393275i
\(953\) −5.69259 + 32.2843i −0.184401 + 1.04579i 0.742321 + 0.670044i \(0.233725\pi\)
−0.926722 + 0.375746i \(0.877386\pi\)
\(954\) −6.24811 + 10.8220i −0.202290 + 0.350376i
\(955\) −0.953337 0.346986i −0.0308492 0.0112282i
\(956\) −3.63810 −0.117664
\(957\) 5.61246 + 2.04277i 0.181425 + 0.0660334i
\(958\) 5.67744 + 32.1984i 0.183430 + 1.04028i
\(959\) −12.4091 + 10.4125i −0.400711 + 0.336237i
\(960\) 0.599525 + 0.503061i 0.0193496 + 0.0162362i
\(961\) 60.2476 1.94347
\(962\) −20.0627 + 17.6953i −0.646848 + 0.570519i
\(963\) −0.318574 −0.0102659
\(964\) −15.5538 13.0512i −0.500955 0.420351i
\(965\) −19.1517 + 16.0702i −0.616514 + 0.517317i
\(966\) −1.95936 11.1121i −0.0630414 0.357526i
\(967\) 45.7351 + 16.6462i 1.47074 + 0.535306i 0.948301 0.317371i \(-0.102800\pi\)
0.522439 + 0.852677i \(0.325022\pi\)
\(968\) −7.59183 −0.244011
\(969\) 16.2358 + 5.90935i 0.521570 + 0.189836i
\(970\) 6.64002 11.5009i 0.213198 0.369270i
\(971\) −9.04845 + 51.3163i −0.290379 + 1.64682i 0.395035 + 0.918666i \(0.370732\pi\)
−0.685414 + 0.728153i \(0.740379\pi\)
\(972\) 7.83608 + 13.5725i 0.251342 + 0.435338i
\(973\) −1.47890 + 2.56152i −0.0474112 + 0.0821187i
\(974\) 20.8365 + 17.4839i 0.667646 + 0.560222i
\(975\) 0.597680 + 3.38961i 0.0191411 + 0.108554i
\(976\) 7.11677 + 12.3266i 0.227802 + 0.394565i
\(977\) 52.6890 19.1772i 1.68567 0.613534i 0.691601 0.722280i \(-0.256906\pi\)
0.994070 + 0.108746i \(0.0346836\pi\)
\(978\) −3.55212 + 1.29287i −0.113584 + 0.0413413i
\(979\) −2.47952 + 14.0621i −0.0792458 + 0.449425i
\(980\) 0.589073 0.494291i 0.0188173 0.0157896i
\(981\) 28.6704 24.0573i 0.915375 0.768090i
\(982\) −0.0771421 + 0.437495i −0.00246170 + 0.0139610i
\(983\) −48.4200 + 17.6234i −1.54436 + 0.562100i −0.967086 0.254452i \(-0.918105\pi\)
−0.577272 + 0.816552i \(0.695883\pi\)
\(984\) −5.81103 + 2.11504i −0.185249 + 0.0674251i
\(985\) −3.61323 6.25830i −0.115127 0.199406i
\(986\) 4.02929 + 22.8512i 0.128319 + 0.727732i
\(987\) 10.4112 + 8.73606i 0.331393 + 0.278072i
\(988\) −8.64861 + 14.9798i −0.275149 + 0.476572i
\(989\) −16.3163 28.2607i −0.518830 0.898639i
\(990\) −0.765375 + 4.34066i −0.0243252 + 0.137955i
\(991\) 14.6689 25.4072i 0.465972 0.807087i −0.533273 0.845943i \(-0.679038\pi\)
0.999245 + 0.0388564i \(0.0123715\pi\)
\(992\) −8.97628 3.26710i −0.284997 0.103731i
\(993\) 15.2082 0.482617
\(994\) 24.1571 + 8.79247i 0.766217 + 0.278880i
\(995\) −2.24082 12.7083i −0.0710387 0.402880i
\(996\) 7.94642 6.66784i 0.251792 0.211278i
\(997\) 7.61728 + 6.39165i 0.241242 + 0.202426i 0.755390 0.655276i \(-0.227447\pi\)
−0.514148 + 0.857701i \(0.671892\pi\)
\(998\) −12.6121 −0.399229
\(999\) 5.07476 + 25.1402i 0.160558 + 0.795401i
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.o.d.71.2 24
37.12 even 9 inner 370.2.o.d.271.2 yes 24
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
370.2.o.d.71.2 24 1.1 even 1 trivial
370.2.o.d.271.2 yes 24 37.12 even 9 inner