LMFDB - Embedded newform 370.2.o.c.231.3

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			231.3
Character	$\chi$	$=$	370.231
Dual form			370.2.o.c.181.3

$q$-expansion

comment: q-expansion

sage: f.q_expansion() # note that sage often uses an isomorphic number field

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.173648 - 0.984808i) q^{2} +(0.160396 - 0.909649i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(0.766044 + 0.642788i) q^{5} -0.923681 q^{6} +(1.63147 + 1.36896i) q^{7} +(0.500000 + 0.866025i) q^{8} +(2.01734 + 0.734253i) q^{9} +O(q^{10})$	\(q+(-0.173648 - 0.984808i) q^{2} +(0.160396 - 0.909649i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(0.766044 + 0.642788i) q^{5} -0.923681 q^{6} +(1.63147 + 1.36896i) q^{7} +(0.500000 + 0.866025i) q^{8} +(2.01734 + 0.734253i) q^{9} +(0.500000 - 0.866025i) q^{10} +(1.53109 + 2.65192i) q^{11} +(0.160396 + 0.909649i) q^{12} +(3.64245 - 1.32574i) q^{13} +(1.06486 - 1.84440i) q^{14} +(0.707581 - 0.593731i) q^{15} +(0.766044 - 0.642788i) q^{16} +(-6.15884 - 2.24163i) q^{17} +(0.372790 - 2.11420i) q^{18} +(0.665145 - 3.77223i) q^{19} +(-0.939693 - 0.342020i) q^{20} +(1.50696 - 1.26449i) q^{21} +(2.34576 - 1.96833i) q^{22} +(0.436777 - 0.756520i) q^{23} +(0.867977 - 0.315918i) q^{24} +(0.173648 + 0.984808i) q^{25} +(-1.93811 - 3.35690i) q^{26} +(2.37701 - 4.11710i) q^{27} +(-2.00129 - 0.728410i) q^{28} +(4.64020 + 8.03706i) q^{29} +(-0.707581 - 0.593731i) q^{30} -10.6828 q^{31} +(-0.766044 - 0.642788i) q^{32} +(2.65790 - 0.967395i) q^{33} +(-1.13811 + 6.45453i) q^{34} +(0.369824 + 2.09737i) q^{35} -2.14681 q^{36} +(-2.88144 - 5.35699i) q^{37} -3.83042 q^{38} +(-0.621728 - 3.52600i) q^{39} +(-0.173648 + 0.984808i) q^{40} +(7.73745 - 2.81620i) q^{41} +(-1.50696 - 1.26449i) q^{42} +5.01898 q^{43} +(-2.34576 - 1.96833i) q^{44} +(1.07341 + 1.85919i) q^{45} +(-0.820873 - 0.298773i) q^{46} +(-3.62250 + 6.27435i) q^{47} +(-0.461841 - 0.799932i) q^{48} +(-0.427913 - 2.42682i) q^{49} +(0.939693 - 0.342020i) q^{50} +(-3.02695 + 5.24283i) q^{51} +(-2.96935 + 2.49158i) q^{52} +(9.36874 - 7.86131i) q^{53} +(-4.46731 - 1.62597i) q^{54} +(-0.531741 + 3.01565i) q^{55} +(-0.369824 + 2.09737i) q^{56} +(-3.32471 - 1.21010i) q^{57} +(7.10920 - 5.96533i) q^{58} +(-8.59737 + 7.21405i) q^{59} +(-0.461841 + 0.799932i) q^{60} +(-11.9738 + 4.35811i) q^{61} +(1.85504 + 10.5205i) q^{62} +(2.28606 + 3.95958i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(3.64245 + 1.32574i) q^{65} +(-1.41424 - 2.44953i) q^{66} +(-1.31652 - 1.10469i) q^{67} +6.55410 q^{68} +(-0.618110 - 0.518656i) q^{69} +(2.00129 - 0.728410i) q^{70} +(0.0544271 - 0.308671i) q^{71} +(0.372790 + 2.11420i) q^{72} +12.0483 q^{73} +(-4.77524 + 3.76790i) q^{74} +0.923681 q^{75} +(0.665145 + 3.77223i) q^{76} +(-1.13246 + 6.42252i) q^{77} +(-3.36447 + 1.22457i) q^{78} +(3.39576 + 2.84938i) q^{79} +1.00000 q^{80} +(1.56981 + 1.31723i) q^{81} +(-4.11701 - 7.13087i) q^{82} +(-12.0367 - 4.38099i) q^{83} +(-0.983596 + 1.70364i) q^{84} +(-3.27705 - 5.67602i) q^{85} +(-0.871537 - 4.94273i) q^{86} +(8.05517 - 2.93184i) q^{87} +(-1.53109 + 2.65192i) q^{88} +(-5.18736 + 4.35272i) q^{89} +(1.64455 - 1.37994i) q^{90} +(7.75744 + 2.82348i) q^{91} +(-0.151691 + 0.860283i) q^{92} +(-1.71347 + 9.71756i) q^{93} +(6.80807 + 2.47794i) q^{94} +(2.93427 - 2.46215i) q^{95} +(-0.707581 + 0.593731i) q^{96} +(2.24351 - 3.88587i) q^{97} +(-2.31564 + 0.842825i) q^{98} +(1.14155 + 6.47404i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q - 6 q^{6} - 3 q^{7} + 12 q^{8} + 12 q^{9}+O(q^{10}) $ 24 * q - 6 * q^6 - 3 * q^7 + 12 * q^8 + 12 * q^9	$ 24 q - 6 q^{6} - 3 q^{7} + 12 q^{8} + 12 q^{9} + 12 q^{10} - 15 q^{11} + 3 q^{14} - 6 q^{17} + 6 q^{18} - 6 q^{19} + 36 q^{21} + 9 q^{22} + 21 q^{23} - 6 q^{26} - 12 q^{27} - 3 q^{28} + 12 q^{29} + 30 q^{31} - 39 q^{33} - 21 q^{34} + 6 q^{35} + 54 q^{36} - 12 q^{37} - 36 q^{38} - 18 q^{39} + 27 q^{41} - 36 q^{42} - 24 q^{43} - 9 q^{44} - 27 q^{45} + 3 q^{46} - 6 q^{47} - 3 q^{48} - 27 q^{49} - 6 q^{51} - 9 q^{52} + 6 q^{53} + 9 q^{54} + 9 q^{55} - 6 q^{56} - 27 q^{57} + 27 q^{58} + 51 q^{59} - 3 q^{60} - 3 q^{62} - 27 q^{63} - 12 q^{64} + 15 q^{66} - 18 q^{69} + 3 q^{70} - 66 q^{71} + 6 q^{72} + 42 q^{73} - 42 q^{74} + 6 q^{75} - 6 q^{76} + 69 q^{77} + 36 q^{78} - 30 q^{79} + 24 q^{80} - 90 q^{81} + 24 q^{82} + 57 q^{83} + 6 q^{84} - 6 q^{86} + 6 q^{87} + 15 q^{88} - 57 q^{89} + 6 q^{90} + 3 q^{91} + 15 q^{92} - 72 q^{93} + 3 q^{94} - 15 q^{95} - 3 q^{97} - 72 q^{98} + 63 q^{99}+O(q^{100}) $ 24 * q - 6 * q^6 - 3 * q^7 + 12 * q^8 + 12 * q^9 + 12 * q^10 - 15 * q^11 + 3 * q^14 - 6 * q^17 + 6 * q^18 - 6 * q^19 + 36 * q^21 + 9 * q^22 + 21 * q^23 - 6 * q^26 - 12 * q^27 - 3 * q^28 + 12 * q^29 + 30 * q^31 - 39 * q^33 - 21 * q^34 + 6 * q^35 + 54 * q^36 - 12 * q^37 - 36 * q^38 - 18 * q^39 + 27 * q^41 - 36 * q^42 - 24 * q^43 - 9 * q^44 - 27 * q^45 + 3 * q^46 - 6 * q^47 - 3 * q^48 - 27 * q^49 - 6 * q^51 - 9 * q^52 + 6 * q^53 + 9 * q^54 + 9 * q^55 - 6 * q^56 - 27 * q^57 + 27 * q^58 + 51 * q^59 - 3 * q^60 - 3 * q^62 - 27 * q^63 - 12 * q^64 + 15 * q^66 - 18 * q^69 + 3 * q^70 - 66 * q^71 + 6 * q^72 + 42 * q^73 - 42 * q^74 + 6 * q^75 - 6 * q^76 + 69 * q^77 + 36 * q^78 - 30 * q^79 + 24 * q^80 - 90 * q^81 + 24 * q^82 + 57 * q^83 + 6 * q^84 - 6 * q^86 + 6 * q^87 + 15 * q^88 - 57 * q^89 + 6 * q^90 + 3 * q^91 + 15 * q^92 - 72 * q^93 + 3 * q^94 - 15 * q^95 - 3 * q^97 - 72 * q^98 + 63 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{4}{9}\right)$	$1$

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 $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.173648	−	0.984808i	−0.122788	−	0.696364i
$2$	−0.173648	−	0.984808i	−0.122788	−	0.696364i
$3$	0.160396	−	0.909649i	0.0926044	−	0.525186i	−0.902851	−	0.429954i	$-0.858530\pi$
$3$	0.160396	−	0.909649i	0.0926044	−	0.525186i	0.995455	−	0.0952317i	$-0.0303592\pi$
$4$	−0.939693	+	0.342020i	−0.469846	+	0.171010i
$5$	0.766044	+	0.642788i	0.342585	+	0.287463i
$5$	0.766044	+	0.642788i	0.342585	+	0.287463i
$6$	−0.923681			−0.377091
$7$	1.63147	+	1.36896i	0.616637	+	0.517420i	0.896744	−	0.442549i	$-0.145926\pi$
$7$	1.63147	+	1.36896i	0.616637	+	0.517420i	−0.280108	+	0.959969i	$0.590370\pi$
$8$	0.500000	+	0.866025i	0.176777	+	0.306186i
$9$	2.01734	+	0.734253i	0.672448	+	0.244751i
$10$	0.500000	−	0.866025i	0.158114	−	0.273861i
$11$	1.53109	+	2.65192i	0.461640	+	0.799584i	0.999043	−	0.0437416i	$-0.0139278\pi$
$11$	1.53109	+	2.65192i	0.461640	+	0.799584i	−0.537403	+	0.843326i	$0.680594\pi$
$12$	0.160396	+	0.909649i	0.0463022	+	0.262593i
$13$	3.64245	−	1.32574i	1.01023	−	0.367695i	0.216712	−	0.976236i	$-0.430467\pi$
$13$	3.64245	−	1.32574i	1.01023	−	0.367695i	0.793523	+	0.608540i	$0.208245\pi$
$14$	1.06486	−	1.84440i	0.284597	−	0.492936i
$15$	0.707581	−	0.593731i	0.182697	−	0.153301i
$16$	0.766044	−	0.642788i	0.191511	−	0.160697i
$17$	−6.15884	−	2.24163i	−1.49374	−	0.543676i	−0.539308	−	0.842109i	$-0.681314\pi$
$17$	−6.15884	−	2.24163i	−1.49374	−	0.543676i	−0.954431	+	0.298433i	$0.903536\pi$
$18$	0.372790	−	2.11420i	0.0878675	−	0.498321i
$19$	0.665145	−	3.77223i	0.152595	−	0.865408i	−0.808357	−	0.588693i	$-0.799643\pi$
$19$	0.665145	−	3.77223i	0.152595	−	0.865408i	0.960952	−	0.276716i	$-0.0892460\pi$
$20$	−0.939693	−	0.342020i	−0.210122	−	0.0764780i
$21$	1.50696	−	1.26449i	0.328845	−	0.275933i
$22$	2.34576	−	1.96833i	0.500118	−	0.419649i
$23$	0.436777	−	0.756520i	0.0910743	−	0.157745i	−0.816889	−	0.576795i	$-0.804303\pi$
$23$	0.436777	−	0.756520i	0.0910743	−	0.157745i	0.907963	+	0.419049i	$0.137637\pi$
$24$	0.867977	−	0.315918i	0.177175	−	0.0644864i
$25$	0.173648	+	0.984808i	0.0347296	+	0.196962i
$26$	−1.93811	−	3.35690i	−0.380094	−	0.658343i
$27$	2.37701	−	4.11710i	0.457455	−	0.792336i
$28$	−2.00129	−	0.728410i	−0.378208	−	0.137657i
$29$	4.64020	+	8.03706i	0.861664	+	1.49245i	0.870322	+	0.492483i	$0.163911\pi$
$29$	4.64020	+	8.03706i	0.861664	+	1.49245i	−0.00865837	+	0.999963i	$0.502756\pi$
$30$	−0.707581	−	0.593731i	−0.129186	−	0.108400i
$31$	−10.6828			−1.91868			−0.959340	−	0.282252i	$-0.908919\pi$
$31$	−10.6828			−1.91868			−0.959340	+	0.282252i	$0.908919\pi$
$32$	−0.766044	−	0.642788i	−0.135419	−	0.113630i
$33$	2.65790	−	0.967395i	0.462680	−	0.168402i
$34$	−1.13811	+	6.45453i	−0.195184	+	1.10694i
$35$	0.369824	+	2.09737i	0.0625116	+	0.354521i
$36$	−2.14681			−0.357802
$37$	−2.88144	−	5.35699i	−0.473706	−	0.880683i
$37$	−2.88144	−	5.35699i	−0.473706	−	0.880683i
$38$	−3.83042			−0.621376
$39$	−0.621728	−	3.52600i	−0.0995562	−	0.564611i
$40$	−0.173648	+	0.984808i	−0.0274562	+	0.155712i
$41$	7.73745	−	2.81620i	1.20839	−	0.439817i	0.342243	−	0.939612i	$-0.388813\pi$
$41$	7.73745	−	2.81620i	1.20839	−	0.439817i	0.866144	+	0.499795i	$0.166591\pi$
$42$	−1.50696	−	1.26449i	−0.232528	−	0.195114i
$43$	5.01898			0.765388			0.382694	−	0.923875i	$-0.374996\pi$
$43$	5.01898			0.765388			0.382694	+	0.923875i	$0.374996\pi$
$44$	−2.34576	−	1.96833i	−0.353637	−	0.296737i
$45$	1.07341	+	1.85919i	0.160014	+	0.277152i
$46$	−0.820873	−	0.298773i	−0.121031	−	0.0440517i
$47$	−3.62250	+	6.27435i	−0.528396	+	0.915208i	0.471056	+	0.882103i	$0.343873\pi$
$47$	−3.62250	+	6.27435i	−0.528396	+	0.915208i	−0.999452	+	0.0331051i	$0.989460\pi$
$48$	−0.461841	−	0.799932i	−0.0666610	−	0.115460i
$49$	−0.427913	−	2.42682i	−0.0611305	−	0.346688i
$50$	0.939693	−	0.342020i	0.132893	−	0.0483690i
$51$	−3.02695	+	5.24283i	−0.423858	+	0.734143i
$52$	−2.96935	+	2.49158i	−0.411775	+	0.345521i
$53$	9.36874	−	7.86131i	1.28690	−	1.07983i	0.294641	−	0.955608i	$-0.404800\pi$
$53$	9.36874	−	7.86131i	1.28690	−	1.07983i	0.992254	−	0.124225i	$-0.0396446\pi$
$54$	−4.46731	−	1.62597i	−0.607924	−	0.221266i
$55$	−0.531741	+	3.01565i	−0.0716999	+	0.406631i
$56$	−0.369824	+	2.09737i	−0.0494198	+	0.280273i
$57$	−3.32471	−	1.21010i	−0.440369	−	0.160281i
$58$	7.10920	−	5.96533i	0.933484	−	0.783286i
$59$	−8.59737	+	7.21405i	−1.11928	+	0.939189i	−0.998568	−	0.0534983i	$-0.982963\pi$
$59$	−8.59737	+	7.21405i	−1.11928	+	0.939189i	−0.120714	+	0.992687i	$0.538518\pi$
$60$	−0.461841	+	0.799932i	−0.0596234	+	0.103271i
$61$	−11.9738	+	4.35811i	−1.53309	+	0.557999i	−0.964376	−	0.264535i	$-0.914781\pi$
$61$	−11.9738	+	4.35811i	−1.53309	+	0.557999i	−0.568715	+	0.822535i	$0.692559\pi$
$62$	1.85504	+	10.5205i	0.235591	+	1.33610i
$63$	2.28606	+	3.95958i	0.288017	+	0.498860i
$64$	−0.500000	+	0.866025i	−0.0625000	+	0.108253i
$65$	3.64245	+	1.32574i	0.451791	+	0.164438i
$66$	−1.41424	−	2.44953i	−0.174080	−	0.301516i
$67$	−1.31652	−	1.10469i	−0.160838	−	0.134959i	0.558817	−	0.829291i	$-0.311256\pi$
$67$	−1.31652	−	1.10469i	−0.160838	−	0.134959i	−0.719655	+	0.694332i	$0.755700\pi$
$68$	6.55410			0.794801
$69$	−0.618110	−	0.518656i	−0.0744117	−	0.0624389i
$70$	2.00129	−	0.728410i	0.239200	−	0.0870617i
$71$	0.0544271	−	0.308671i	0.00645931	−	0.0366326i	−0.981408	−	0.191934i	$-0.938524\pi$
$71$	0.0544271	−	0.308671i	0.00645931	−	0.0366326i	0.987867	+	0.155302i	$0.0496350\pi$
$72$	0.372790	+	2.11420i	0.0439337	+	0.249161i
$73$	12.0483			1.41014			0.705071	−	0.709137i	$-0.250915\pi$
$73$	12.0483			1.41014			0.705071	+	0.709137i	$0.250915\pi$
$74$	−4.77524	+	3.76790i	−0.555111	+	0.438009i
$75$	0.923681			0.106658
$76$	0.665145	+	3.77223i	0.0762974	+	0.432704i
$77$	−1.13246	+	6.42252i	−0.129056	+	0.731914i
$78$	−3.36447	+	1.22457i	−0.380951	+	0.138655i
$79$	3.39576	+	2.84938i	0.382052	+	0.320580i	0.813508	−	0.581554i	$-0.197555\pi$
$79$	3.39576	+	2.84938i	0.382052	+	0.320580i	−0.431455	+	0.902134i	$0.642000\pi$
$80$	1.00000			0.111803
$81$	1.56981	+	1.31723i	0.174423	+	0.146359i
$82$	−4.11701	−	7.13087i	−0.454648	−	0.787473i
$83$	−12.0367	−	4.38099i	−1.32120	−	0.480876i	−0.417355	−	0.908744i	$-0.637043\pi$
$83$	−12.0367	−	4.38099i	−1.32120	−	0.480876i	−0.903841	+	0.427867i	$0.859265\pi$
$84$	−0.983596	+	1.70364i	−0.107319	+	0.185882i
$85$	−3.27705	−	5.67602i	−0.355446	−	0.615651i
$86$	−0.871537	−	4.94273i	−0.0939803	−	0.532989i
$87$	8.05517	−	2.93184i	0.863605	−	0.314327i
$88$	−1.53109	+	2.65192i	−0.163214	+	0.282696i
$89$	−5.18736	+	4.35272i	−0.549860	+	0.461387i	−0.874893	−	0.484315i	$-0.839069\pi$
$89$	−5.18736	+	4.35272i	−0.549860	+	0.461387i	0.325034	+	0.945702i	$0.394624\pi$
$90$	1.64455	−	1.37994i	0.173351	−	0.145459i
$91$	7.75744	+	2.82348i	0.813200	+	0.295981i
$92$	−0.151691	+	0.860283i	−0.0158149	+	0.0896907i
$93$	−1.71347	+	9.71756i	−0.177678	+	1.00766i
$94$	6.80807	+	2.47794i	0.702199	+	0.255580i
$95$	2.93427	−	2.46215i	0.301050	−	0.252611i
$96$	−0.707581	+	0.593731i	−0.0722172	+	0.0605974i
$97$	2.24351	−	3.88587i	0.227794	−	0.394550i	−0.729360	−	0.684130i	$-0.760182\pi$
$97$	2.24351	−	3.88587i	0.227794	−	0.394550i	0.957154	+	0.289580i	$0.0935155\pi$
$98$	−2.31564	+	0.842825i	−0.233915	+	0.0851381i
$99$	1.14155	+	6.47404i	0.114730	+	0.650666i
$100$	−0.500000	−	0.866025i	−0.0500000	−	0.0866025i
$101$	−9.92506	+	17.1907i	−0.987580	+	1.71054i	−0.357724	+	0.933828i	$0.616447\pi$
$101$	−9.92506	+	17.1907i	−0.987580	+	1.71054i	−0.629857	+	0.776711i	$0.716886\pi$
$102$	5.68881	+	2.07056i	0.563276	+	0.205016i
$103$	−3.05995	−	5.30000i	−0.301506	−	0.522224i	0.674971	−	0.737844i	$-0.264156\pi$
$103$	−3.05995	−	5.30000i	−0.301506	−	0.522224i	−0.976477	+	0.215620i	$0.930823\pi$
$104$	2.96935	+	2.49158i	0.291169	+	0.244320i
$105$	1.96719			0.191978
$106$	−9.36874	−	7.86131i	−0.909972	−	0.763557i
$107$	−16.2488	+	5.91407i	−1.57083	+	0.571735i	−0.973185	−	0.230026i	$-0.926119\pi$
$107$	−16.2488	+	5.91407i	−1.57083	+	0.571735i	−0.597645	+	0.801761i	$0.703897\pi$
$108$	−0.825526	+	4.68179i	−0.0794363	+	0.450506i
$109$	−1.47566	−	8.36889i	−0.141343	−	0.801594i	−0.970231	−	0.242180i	$-0.922137\pi$
$109$	−1.47566	−	8.36889i	−0.141343	−	0.801594i	0.828889	−	0.559414i	$-0.188974\pi$
$110$	3.06217			0.291967
$111$	−5.33515	+	1.76186i	−0.506390	+	0.167228i
$112$	2.12973			0.201240
$113$	0.996146	+	5.64943i	0.0937096	+	0.531453i	0.995135	+	0.0985193i	$0.0314106\pi$
$113$	0.996146	+	5.64943i	0.0937096	+	0.531453i	−0.901426	+	0.432934i	$0.857478\pi$
$114$	−0.614382	+	3.48434i	−0.0575422	+	0.326338i
$115$	0.820873	−	0.298773i	0.0765468	−	0.0278607i
$116$	−7.10920	−	5.96533i	−0.660073	−	0.553867i
$117$	8.32151			0.769324
$118$	8.59737	+	7.21405i	0.791452	+	0.664107i
$119$	−6.97923	−	12.0884i	−0.639785	−	1.10814i
$120$	0.867977	+	0.315918i	0.0792351	+	0.0288392i
$121$	0.811545	−	1.40564i	0.0737768	−	0.127785i
$122$	6.37114	+	11.0351i	0.576816	+	0.999074i
$123$	−1.32070	−	7.49007i	−0.119084	−	0.675356i
$124$	10.0385	−	3.65372i	0.901485	−	0.328114i
$125$	−0.500000	+	0.866025i	−0.0447214	+	0.0774597i
$126$	3.50245	−	2.93891i	0.312023	−	0.261819i
$127$	−2.08890	+	1.75280i	−0.185360	+	0.155536i	−0.730746	−	0.682650i	$-0.760828\pi$
$127$	−2.08890	+	1.75280i	−0.185360	+	0.155536i	0.545386	+	0.838185i	$0.316383\pi$
$128$	0.939693	+	0.342020i	0.0830579	+	0.0302306i
$129$	0.805023	−	4.56551i	0.0708783	−	0.401971i
$130$	0.673098	−	3.81733i	0.0590346	−	0.334802i
$131$	−14.4858	−	5.27240i	−1.26563	−	0.460651i	−0.379975	−	0.924997i	$-0.624067\pi$
$131$	−14.4858	−	5.27240i	−1.26563	−	0.460651i	−0.885654	+	0.464345i	$0.846290\pi$
$132$	−2.16674	+	1.81811i	−0.188590	+	0.158246i
$133$	6.24920	−	5.24370i	0.541875	−	0.454687i
$134$	−0.859296	+	1.48834i	−0.0742319	+	0.128573i
$135$	4.46731	−	1.62597i	0.384485	−	0.139941i
$136$	−1.13811	−	6.45453i	−0.0975919	−	0.553471i
$137$	−0.0196938	−	0.0341107i	−0.00168256	−	0.00291428i	0.865183	−	0.501456i	$-0.167202\pi$
$137$	−0.0196938	−	0.0341107i	−0.00168256	−	0.00291428i	−0.866865	+	0.498542i	$0.833869\pi$
$138$	−0.403443	+	0.698784i	−0.0343433	+	0.0594844i
$139$	−9.76002	−	3.55236i	−0.827834	−	0.301307i	−0.106864	−	0.994274i	$-0.534081\pi$
$139$	−9.76002	−	3.55236i	−0.827834	−	0.301307i	−0.720970	+	0.692967i	$0.756303\pi$
$140$	−1.06486	−	1.84440i	−0.0899975	−	0.155880i
$141$	5.12642	+	4.30158i	0.431723	+	0.362258i
$142$	−0.313433			−0.0263027
$143$	9.09268	+	7.62966i	0.760368	+	0.638025i
$144$	2.01734	−	0.734253i	0.168112	−	0.0611878i
$145$	−1.61153	+	9.13941i	−0.133830	+	0.758987i
$146$	−2.09216	−	11.8652i	−0.173148	−	0.981972i
$147$	−2.27619			−0.187737
$148$	4.53987	+	4.04841i	0.373175	+	0.332777i
$149$	10.3264			0.845972			0.422986	−	0.906136i	$-0.360982\pi$
$149$	10.3264			0.845972			0.422986	+	0.906136i	$0.360982\pi$
$150$	−0.160396	−	0.909649i	−0.0130962	−	0.0742725i
$151$	0.264689	−	1.50113i	0.0215401	−	0.122160i	−0.972142	−	0.234394i	$-0.924689\pi$
$151$	0.264689	−	1.50113i	0.0215401	−	0.122160i	0.993682	+	0.112234i	$0.0358006\pi$
$152$	3.59942	−	1.31008i	0.291951	−	0.106262i
$153$	−10.7786	−	9.04430i	−0.871396	−	0.731188i
$154$	6.52160			0.525526
$155$	−8.18347	−	6.86675i	−0.657312	−	0.551550i
$156$	1.79019	+	3.10071i	0.143330	+	0.248255i
$157$	−4.28337	−	1.55902i	−0.341850	−	0.124423i	0.165389	−	0.986228i	$-0.447112\pi$
$157$	−4.28337	−	1.55902i	−0.341850	−	0.124423i	−0.507240	+	0.861805i	$0.669334\pi$
$158$	2.21642	−	3.83896i	0.176329	−	0.305411i
$159$	−5.64832	−	9.78318i	−0.447941	−	0.775857i
$160$	−0.173648	−	0.984808i	−0.0137281	−	0.0778559i
$161$	1.74824	−	0.636306i	0.137780	−	0.0501479i
$162$	1.02462	−	1.77470i	0.0805019	−	0.139433i
$163$	−9.24824	+	7.76019i	−0.724378	+	0.607825i	−0.928593	−	0.371101i	$-0.878980\pi$
$163$	−9.24824	+	7.76019i	−0.724378	+	0.607825i	0.204215	+	0.978926i	$0.434536\pi$
$164$	−6.30763	+	5.29273i	−0.492543	+	0.413293i
$165$	2.65790	+	0.967395i	0.206917	+	0.0753116i
$166$	−2.22429	+	12.6146i	−0.172638	+	0.979080i
$167$	1.94006	−	11.0026i	0.150126	−	0.851407i	−0.812981	−	0.582290i	$-0.802157\pi$
$167$	1.94006	−	11.0026i	0.150126	−	0.851407i	0.963107	−	0.269117i	$-0.0867320\pi$
$168$	1.84855	+	0.672819i	0.142619	+	0.0519091i
$169$	1.55128	−	1.30168i	0.119330	−	0.100129i
$170$	−5.02073	+	4.21289i	−0.385073	+	0.323114i
$171$	4.11160	−	7.12149i	0.314422	−	0.544594i
$172$	−4.71630	+	1.71659i	−0.359615	+	0.130889i
$173$	−1.02571	−	5.81709i	−0.0779832	−	0.442265i	−0.998651	−	0.0519185i	$-0.983466\pi$
$173$	−1.02571	−	5.81709i	−0.0779832	−	0.442265i	0.920668	−	0.390346i	$-0.127645\pi$
$174$	−4.28607	−	7.42369i	−0.324926	−	0.562788i
$175$	−1.06486	+	1.84440i	−0.0804962	+	0.139423i
$176$	2.87750	+	1.04733i	0.216900	+	0.0789451i
$177$	5.18327	+	8.97768i	0.389598	+	0.674804i
$178$	5.18736	+	4.35272i	0.388809	+	0.326250i
$179$	−4.08027			−0.304974			−0.152487	−	0.988305i	$-0.548728\pi$
$179$	−4.08027			−0.304974			−0.152487	+	0.988305i	$0.548728\pi$
$180$	−1.64455	−	1.37994i	−0.122578	−	0.102855i
$181$	14.6953	−	5.34864i	1.09229	−	0.397561i	0.267822	−	0.963468i	$-0.413696\pi$
$181$	14.6953	−	5.34864i	1.09229	−	0.397561i	0.824469	+	0.565907i	$0.191474\pi$
$182$	1.43352	−	8.12988i	0.106259	−	0.602626i
$183$	2.04380	+	11.5910i	0.151082	+	0.856831i
$184$	0.873554			0.0643993
$185$	1.23609	−	5.95584i	0.0908794	−	0.437882i
$186$	9.86747			0.723518
$187$	−3.48508	−	19.7649i	−0.254855	−	1.44535i
$188$	1.25808	−	7.13493i	0.0917550	−	0.520368i
$189$	9.51417	−	3.46287i	0.692054	−	0.251887i
$190$	−2.93427	−	2.46215i	−0.212874	−	0.178623i
$191$	15.6000			1.12878			0.564388	−	0.825510i	$-0.309112\pi$
$191$	15.6000			1.12878			0.564388	+	0.825510i	$0.309112\pi$
$192$	0.707581	+	0.593731i	0.0510653	+	0.0428488i
$193$	−4.24906	−	7.35959i	−0.305854	−	0.529755i	0.671597	−	0.740917i	$-0.265609\pi$
$193$	−4.24906	−	7.35959i	−0.305854	−	0.529755i	−0.977451	+	0.211162i	$0.932275\pi$
$194$	−4.21641	−	1.53465i	−0.302721	−	0.110181i
$195$	1.79019	−	3.10071i	0.128199	−	0.222046i
$196$	1.23213	+	2.13411i	0.0880091	+	0.152436i
$197$	1.38366	+	7.84712i	0.0985817	+	0.559084i	0.993591	+	0.113037i	$0.0360577\pi$
$197$	1.38366	+	7.84712i	0.0985817	+	0.559084i	−0.895009	+	0.446048i	$0.852831\pi$
$198$	6.17746	−	2.24841i	0.439013	−	0.159788i
$199$	6.01043	−	10.4104i	0.426068	−	0.737972i	−0.570451	−	0.821332i	$-0.693232\pi$
$199$	6.01043	−	10.4104i	0.426068	−	0.737972i	0.996520	+	0.0833594i	$0.0265650\pi$
$200$	−0.766044	+	0.642788i	−0.0541675	+	0.0454519i
$201$	−1.21604	+	1.02038i	−0.0857730	+	0.0719721i
$202$	18.6530	+	6.78914i	1.31242	+	0.477682i
$203$	−3.43211	+	19.4645i	−0.240887	+	1.36614i
$204$	1.05125	−	5.96193i	0.0736021	−	0.417418i
$205$	7.73745	+	2.81620i	0.540407	+	0.196692i
$206$	−4.68812	+	3.93380i	−0.326637	+	0.274081i
$207$	1.43661	−	1.20546i	0.0998511	−	0.0837850i
$208$	1.93811	−	3.35690i	0.134384	−	0.232759i
$209$	11.0220	−	4.01170i	0.762411	−	0.277495i
$210$	−0.341599	−	1.93730i	−0.0235726	−	0.133687i
$211$	−6.99370	−	12.1134i	−0.481466	−	0.833924i	0.518308	−	0.855194i	$-0.326562\pi$
$211$	−6.99370	−	12.1134i	−0.481466	−	0.833924i	−0.999774	+	0.0212705i	$0.993229\pi$
$212$	−6.11501	+	10.5915i	−0.419981	+	0.727428i
$213$	−0.272053	−	0.0990190i	−0.0186407	−	0.00678467i
$214$	8.64580	+	14.9750i	0.591015	+	1.02367i
$215$	3.84476	+	3.22614i	0.262211	+	0.220021i
$216$	4.75401			0.323470
$217$	−17.4286	−	14.6243i	−1.18313	−	0.992763i
$218$	−7.98550	+	2.90648i	−0.540846	+	0.196852i
$219$	1.93249	−	10.9597i	0.130585	−	0.740586i
$220$	−0.531741	−	3.01565i	−0.0358500	−	0.203315i
$221$	−25.4051			−1.70893
$222$	2.66153	+	4.94815i	0.178630	+	0.332098i
$223$	21.5479			1.44296			0.721478	−	0.692437i	$-0.243463\pi$
$223$	21.5479			1.44296			0.721478	+	0.692437i	$0.243463\pi$
$224$	−0.369824	−	2.09737i	−0.0247099	−	0.140137i
$225$	−0.372790	+	2.11420i	−0.0248527	+	0.140947i
$226$	5.39062	−	1.96203i	0.358579	−	0.130512i
$227$	−7.79718	−	6.54261i	−0.517517	−	0.434248i	0.346248	−	0.938143i	$-0.387455\pi$
$227$	−7.79718	−	6.54261i	−0.517517	−	0.434248i	−0.863765	+	0.503895i	$0.831900\pi$
$228$	3.53809			0.234316
$229$	2.65584	+	2.22852i	0.175503	+	0.147265i	0.726308	−	0.687369i	$-0.241235\pi$
$229$	2.65584	+	2.22852i	0.175503	+	0.147265i	−0.550805	+	0.834634i	$0.685679\pi$
$230$	−0.436777	−	0.756520i	−0.0288002	−	0.0498835i
$231$	5.66060	+	2.06029i	0.372440	+	0.135557i
$232$	−4.64020	+	8.03706i	−0.304644	+	0.527659i
$233$	−10.3703	−	17.9618i	−0.679378	−	1.17672i	−0.975169	−	0.221464i	$-0.928916\pi$
$233$	−10.3703	−	17.9618i	−0.679378	−	1.17672i	0.295791	−	0.955253i	$-0.404417\pi$
$234$	−1.44502	−	8.19509i	−0.0944636	−	0.535730i
$235$	−6.80807	+	2.47794i	−0.444110	+	0.161643i
$236$	5.61153	−	9.71946i	0.365280	−	0.632683i
$237$	3.13660	−	2.63192i	0.203744	−	0.170961i
$238$	−10.6928	+	8.97232i	−0.693111	+	0.581589i
$239$	−4.17930	−	1.52114i	−0.270336	−	0.0983943i	0.203295	−	0.979117i	$-0.434835\pi$
$239$	−4.17930	−	1.52114i	−0.270336	−	0.0983943i	−0.473631	+	0.880723i	$0.657057\pi$
$240$	0.160396	−	0.909649i	0.0103535	−	0.0587176i
$241$	−0.625751	+	3.54881i	−0.0403082	+	0.228599i	−0.998306	−	0.0581751i	$-0.981472\pi$
$241$	−0.625751	+	3.54881i	−0.0403082	+	0.228599i	0.957998	+	0.286774i	$0.0925829\pi$
$242$	−1.52521	−	0.555129i	−0.0980439	−	0.0356851i
$243$	12.3754	−	10.3842i	0.793880	−	0.666144i
$244$	9.76115	−	8.19058i	0.624893	−	0.524348i
$245$	1.23213	−	2.13411i	0.0787177	−	0.136343i
$246$	−7.14694	+	2.60127i	−0.455672	+	0.165851i
$247$	−2.57825	−	14.6220i	−0.164050	−	0.930374i
$248$	−5.34138	−	9.25154i	−0.339178	−	0.587474i
$249$	−5.91579	+	10.2464i	−0.374898	+	0.649342i
$250$	0.939693	+	0.342020i	0.0594314	+	0.0216313i
$251$	15.0664	+	26.0958i	0.950985	+	1.64715i	0.743299	+	0.668959i	$0.233260\pi$
$251$	15.0664	+	26.0958i	0.950985	+	1.64715i	0.207686	+	0.978196i	$0.433407\pi$
$252$	−3.50245	−	2.93891i	−0.220634	−	0.185134i
$253$	2.67498			0.168174
$254$	2.08890	+	1.75280i	0.131069	+	0.109980i
$255$	−5.68881	+	2.07056i	−0.356247	+	0.129663i
$256$	0.173648	−	0.984808i	0.0108530	−	0.0615505i
$257$	−0.105308	−	0.597230i	−0.00656892	−	0.0372542i	0.981347	−	0.192244i	$-0.0615766\pi$
$257$	−0.105308	−	0.597230i	−0.00656892	−	0.0372542i	−0.987916	+	0.154990i	$0.950465\pi$
$258$	−4.63594			−0.288621
$259$	2.63254	−	12.6843i	0.163578	−	0.788166i
$260$	−3.87622			−0.240393
$261$	3.45964	+	19.6206i	0.214146	+	1.21449i
$262$	−2.67687	+	15.1813i	−0.165377	+	0.937901i
$263$	−6.95756	+	2.53234i	−0.429021	+	0.156151i	−0.547500	−	0.836806i	$-0.684420\pi$
$263$	−6.95756	+	2.53234i	−0.429021	+	0.156151i	0.118479	+	0.992957i	$0.462198\pi$
$264$	2.16674	+	1.81811i	0.133353	+	0.111897i
$265$	12.2300			0.751284
$266$	−6.24920	−	5.24370i	−0.383163	−	0.321512i
$267$	3.12741	+	5.41683i	0.191394	+	0.331505i
$268$	1.61495	+	0.587793i	0.0986487	+	0.0359052i
$269$	−11.2815	+	19.5401i	−0.687844	+	1.19138i	0.284690	+	0.958620i	$0.408109\pi$
$269$	−11.2815	+	19.5401i	−0.687844	+	1.19138i	−0.972534	+	0.232761i	$0.925224\pi$
$270$	−2.37701	−	4.11710i	−0.144660	−	0.250559i
$271$	2.39428	+	13.5786i	0.145442	+	0.824843i	0.967011	+	0.254734i	$0.0819880\pi$
$271$	2.39428	+	13.5786i	0.145442	+	0.824843i	−0.821569	+	0.570109i	$0.806901\pi$
$272$	−6.15884	+	2.24163i	−0.373435	+	0.135919i
$273$	3.81263	−	6.60367i	0.230751	−	0.399672i
$274$	−0.0301727	+	0.0253179i	−0.00182280	+	0.00152951i
$275$	−2.34576	+	1.96833i	−0.141455	+	0.118695i
$276$	0.758225	+	0.275971i	0.0456398	+	0.0166115i
$277$	0.854784	−	4.84772i	0.0513590	−	0.291271i	−0.948300	−	0.317375i	$-0.897199\pi$
$277$	0.854784	−	4.84772i	0.0513590	−	0.291271i	0.999659	+	0.0261032i	$0.00830984\pi$
$278$	−1.80358	+	10.2286i	−0.108171	+	0.613471i
$279$	−21.5508	−	7.84385i	−1.29021	−	0.469599i
$280$	−1.63147	+	1.36896i	−0.0974988	+	0.0818112i
$281$	11.5237	−	9.66955i	0.687447	−	0.576837i	−0.230725	−	0.973019i	$-0.574110\pi$
$281$	11.5237	−	9.66955i	0.687447	−	0.576837i	0.918172	+	0.396182i	$0.129665\pi$
$282$	3.34603	−	5.79550i	0.199253	−	0.345117i
$283$	−14.3169	+	5.21091i	−0.851049	+	0.309757i	−0.730468	−	0.682947i	$-0.760698\pi$
$283$	−14.3169	+	5.21091i	−0.851049	+	0.309757i	−0.120581	+	0.992703i	$0.538476\pi$
$284$	0.0544271	+	0.308671i	0.00322965	+	0.0183163i
$285$	−1.76904	−	3.06407i	−0.104789	−	0.181500i
$286$	5.93483	−	10.2794i	0.350934	−	0.607835i
$287$	16.4787	+	5.99775i	0.972705	+	0.354036i
$288$	−1.07341	−	1.85919i	−0.0632511	−	0.109554i
$289$	19.8836	+	16.6843i	1.16963	+	0.981432i
$290$	9.28040			0.544964
$291$	−3.17493	−	2.66408i	−0.186117	−	0.156171i
$292$	−11.3217	+	4.12075i	−0.662550	+	0.241148i
$293$	−5.28745	+	29.9866i	−0.308896	+	1.75184i	0.295676	+	0.955288i	$0.404455\pi$
$293$	−5.28745	+	29.9866i	−0.308896	+	1.75184i	−0.604573	+	0.796550i	$0.706656\pi$
$294$	0.395255	+	2.24161i	0.0230518	+	0.130733i
$295$	−11.2231			−0.653432
$296$	3.19857	−	5.17389i	0.185913	−	0.300726i
$297$	14.5576			0.844719
$298$	−1.79316	−	10.1695i	−0.103875	−	0.589105i
$299$	0.587988	−	3.33464i	0.0340042	−	0.192847i
$300$	−0.867977	+	0.315918i	−0.0501126	+	0.0182395i
$301$	8.18831	+	6.87081i	0.471966	+	0.396027i
$302$	−1.52428			−0.0877127
$303$	14.0456	+	11.7856i	0.806897	+	0.677067i
$304$	−1.91521	−	3.31724i	−0.109845	−	0.190257i
$305$	−11.9738	−	4.35811i	−0.685619	−	0.249545i
$306$	−7.03521	+	12.1853i	−0.402176	+	0.696590i
$307$	2.81154	+	4.86972i	0.160463	+	0.277930i	0.935035	−	0.354556i	$-0.115368\pi$
$307$	2.81154	+	4.86972i	0.160463	+	0.277930i	−0.774572	+	0.632486i	$0.782035\pi$
$308$	−1.13246	−	6.42252i	−0.0645281	−	0.365957i
$309$	−5.31194	+	1.93339i	−0.302186	+	0.109987i
$310$	−5.34138	+	9.25154i	−0.303370	+	0.525452i
$311$	−3.24387	+	2.72193i	−0.183943	+	0.154347i	−0.730110	−	0.683330i	$-0.760531\pi$
$311$	−3.24387	+	2.72193i	−0.183943	+	0.154347i	0.546166	+	0.837677i	$0.316087\pi$
$312$	2.74274	−	2.30143i	0.155277	−	0.130293i
$313$	−17.7368	−	6.45566i	−1.00254	−	0.364895i	−0.211978	−	0.977275i	$-0.567990\pi$
$313$	−17.7368	−	6.45566i	−1.00254	−	0.364895i	−0.790564	+	0.612379i	$0.790213\pi$
$314$	−0.791535	+	4.48902i	−0.0446689	+	0.253330i
$315$	−0.793942	+	4.50267i	−0.0447336	+	0.253697i
$316$	−4.16551	−	1.51612i	−0.234328	−	0.0852885i
$317$	20.1007	−	16.8665i	1.12897	−	0.947315i	0.129943	−	0.991521i	$-0.458521\pi$
$317$	20.1007	−	16.8665i	1.12897	−	0.947315i	0.999022	+	0.0442069i	$0.0140761\pi$
$318$	−8.65373	+	7.26134i	−0.485277	+	0.407196i
$319$	−14.2091	+	24.6109i	−0.795557	+	1.37795i
$320$	−0.939693	+	0.342020i	−0.0525304	+	0.0191195i
$321$	2.77350	+	15.7293i	0.154801	+	0.877923i
$322$	−0.930217	−	1.61118i	−0.0518390	−	0.0897877i
$323$	−12.5525	+	21.7415i	−0.698439	+	1.20973i
$324$	−1.92566	−	0.700882i	−0.106981	−	0.0389379i
$325$	1.93811	+	3.35690i	0.107507	+	0.186207i
$326$	9.24824	+	7.76019i	0.512213	+	0.429797i
$327$	−7.84944			−0.434075
$328$	6.30763	+	5.29273i	0.348280	+	0.292242i
$329$	−14.4993	+	5.27733i	−0.799375	+	0.290949i
$330$	0.491159	−	2.78550i	0.0270374	−	0.153337i
$331$	1.17894	+	6.68612i	0.0648006	+	0.367502i	0.999914	+	0.0131525i	$0.00418670\pi$
$331$	1.17894	+	6.68612i	0.0648006	+	0.367502i	−0.935113	+	0.354350i	$0.884702\pi$
$332$	12.8092			0.702994
$333$	−1.87947	−	12.9226i	−0.102994	−	0.708154i
$334$	−11.1723			−0.611323
$335$	−0.298430	−	1.69248i	−0.0163050	−	0.0924702i
$336$	0.341599	−	1.93730i	0.0186358	−	0.105689i
$337$	−9.39651	+	3.42005i	−0.511861	+	0.186302i	−0.585021	−	0.811018i	$-0.698914\pi$
$337$	−9.39651	+	3.42005i	−0.511861	+	0.186302i	0.0731603	+	0.997320i	$0.476692\pi$
$338$	−1.55128	−	1.30168i	−0.0843788	−	0.0708022i
$339$	5.29877			0.287790
$340$	5.02073	+	4.21289i	0.272287	+	0.228476i
$341$	−16.3562	−	28.3298i	−0.885740	−	1.53415i
$342$	−7.72727	−	2.81250i	−0.417843	−	0.152082i
$343$	10.0781	−	17.4559i	0.544169	−	0.942528i
$344$	2.50949	+	4.34657i	0.135303	+	0.234351i
$345$	−0.140114	−	0.794627i	−0.00754350	−	0.0427813i
$346$	−5.55060	+	2.02025i	−0.298402	+	0.108609i
$347$	4.24026	−	7.34435i	0.227629	−	0.394265i	−0.729476	−	0.684007i	$-0.760236\pi$
$347$	4.24026	−	7.34435i	0.227629	−	0.394265i	0.957105	+	0.289741i	$0.0935693\pi$
$348$	−6.56664	+	5.51006i	−0.352009	+	0.295370i
$349$	10.2298	−	8.58382i	0.547588	−	0.459481i	−0.326535	−	0.945185i	$-0.605881\pi$
$349$	10.2298	−	8.58382i	0.547588	−	0.459481i	0.874123	+	0.485704i	$0.161437\pi$
$350$	2.00129	+	0.728410i	0.106973	+	0.0389352i
$351$	3.19992	−	18.1476i	0.170799	−	0.968649i
$352$	0.531741	−	3.01565i	0.0283419	−	0.160735i
$353$	−14.4781	−	5.26958i	−0.770589	−	0.280472i	−0.0733464	−	0.997307i	$-0.523368\pi$
$353$	−14.4781	−	5.26958i	−0.770589	−	0.280472i	−0.697243	+	0.716835i	$0.745590\pi$
$354$	7.94123	−	6.66348i	0.422072	−	0.354160i
$355$	0.240104	−	0.201471i	0.0127434	−	0.0106930i
$356$	3.38581	−	5.86440i	0.179448	−	0.310812i
$357$	−12.1156	+	4.40972i	−0.641226	+	0.233387i
$358$	0.708532	+	4.01828i	0.0374471	+	0.212373i
$359$	−1.65304	−	2.86315i	−0.0872442	−	0.151111i	0.819101	−	0.573649i	$-0.194473\pi$
$359$	−1.65304	−	2.86315i	−0.0872442	−	0.151111i	−0.906345	+	0.422538i	$0.861139\pi$
$360$	−1.07341	+	1.85919i	−0.0565735	+	0.0979881i
$361$	4.06688	+	1.48022i	0.214046	+	0.0779065i
$362$	−7.81919	−	13.5432i	−0.410967	−	0.711817i
$363$	−1.14847	−	0.963678i	−0.0602789	−	0.0505800i
$364$	−8.25529			−0.432695
$365$	9.22950	+	7.74447i	0.483094	+	0.405364i
$366$	11.0600	−	4.02551i	0.578115	−	0.210417i
$367$	−5.61443	+	31.8410i	−0.293071	+	1.66209i	0.381870	+	0.924216i	$0.375280\pi$
$367$	−5.61443	+	31.8410i	−0.293071	+	1.66209i	−0.674941	+	0.737872i	$0.735831\pi$
$368$	−0.151691	−	0.860283i	−0.00790745	−	0.0448454i
$369$	17.6769			0.920223
$370$	−6.08001	−	0.183093i	−0.316084	−	0.00951853i
$371$	26.0466			1.35227
$372$	−1.71347	−	9.71756i	−0.0888392	−	0.503832i
$373$	−2.04722	+	11.6104i	−0.106001	+	0.601162i	0.884815	+	0.465943i	$0.154285\pi$
$373$	−2.04722	+	11.6104i	−0.106001	+	0.601162i	−0.990816	+	0.135219i	$0.956826\pi$
$374$	−18.8594	+	6.86428i	−0.975199	+	0.354943i
$375$	0.707581	+	0.593731i	0.0365393	+	0.0306601i
$376$	−7.24500			−0.373632
$377$	27.5568	+	23.1229i	1.41925	+	1.19089i
$378$	−5.06238	−	8.76830i	−0.260381	−	0.450993i
$379$	13.8035	+	5.02408i	0.709040	+	0.258070i	0.671266	−	0.741217i	$-0.265751\pi$
$379$	13.8035	+	5.02408i	0.709040	+	0.258070i	0.0377745	+	0.999286i	$0.487973\pi$
$380$	−1.91521	+	3.31724i	−0.0982482	+	0.170171i
$381$	1.25938	+	2.18131i	0.0645199	+	0.111752i
$382$	−2.70891	−	15.3630i	−0.138600	−	0.786039i
$383$	2.97369	−	1.08233i	0.151948	−	0.0553047i	−0.264926	−	0.964269i	$-0.585348\pi$
$383$	2.97369	−	1.08233i	0.151948	−	0.0553047i	0.416875	+	0.908964i	$0.363125\pi$
$384$	0.461841	−	0.799932i	0.0235682	−	0.0408213i
$385$	−4.99584	+	4.19200i	−0.254611	+	0.213644i
$386$	−6.50994	+	5.46249i	−0.331347	+	0.278033i
$387$	10.1250	+	3.68521i	0.514684	+	0.187330i
$388$	−0.779162	+	4.41885i	−0.0395559	+	0.224333i
$389$	−2.63314	+	14.9333i	−0.133506	+	0.757148i	0.842383	+	0.538879i	$0.181152\pi$
$389$	−2.63314	+	14.9333i	−0.133506	+	0.757148i	−0.975889	+	0.218269i	$0.929959\pi$
$390$	−3.36447	−	1.22457i	−0.170366	−	0.0620083i
$391$	−4.38588	+	3.68019i	−0.221804	+	0.186115i
$392$	1.88773	−	1.58399i	0.0953447	−	0.0800037i
$393$	−7.11948	+	12.3313i	−0.359130	+	0.622032i
$394$	7.48764	−	2.72528i	0.377222	−	0.137297i
$395$	0.769755	+	4.36550i	0.0387306	+	0.219652i
$396$	−3.28696	−	5.69318i	−0.165176	−	0.286093i
$397$	4.16879	−	7.22055i	0.209225	−	0.362389i	−0.742245	−	0.670128i	$-0.766239\pi$
$397$	4.16879	−	7.22055i	0.209225	−	0.362389i	0.951471	+	0.307739i	$0.0995724\pi$
$398$	−11.2959	−	4.11138i	−0.566213	−	0.206085i
$399$	−3.76758	−	6.52565i	−0.188615	−	0.326691i
$400$	0.766044	+	0.642788i	0.0383022	+	0.0321394i
$401$	10.9203			0.545332			0.272666	−	0.962109i	$-0.412095\pi$
$401$	10.9203			0.545332			0.272666	+	0.962109i	$0.412095\pi$
$402$	1.21604	+	1.02038i	0.0606507	+	0.0508920i
$403$	−38.9115	+	14.1626i	−1.93832	+	0.705490i
$404$	3.44694	−	19.5485i	0.171491	−	0.972577i
$405$	0.355847	+	2.01811i	0.0176822	+	0.100281i
$406$	19.7647			0.980908
$407$	9.79457	−	15.8434i	0.485499	−	0.785326i
$408$	−6.05390			−0.299713
$409$	−2.03385	−	11.5345i	−0.100567	−	0.570346i	−0.992898	−	0.118965i	$-0.962042\pi$
$409$	−2.03385	−	11.5345i	−0.100567	−	0.570346i	0.892331	−	0.451382i	$-0.149069\pi$
$410$	1.42982	−	8.10893i	0.0706139	−	0.400471i
$411$	−0.0341876	+	0.0124433i	−0.00168635	+	0.000613781i
$412$	4.68812	+	3.93380i	0.230967	+	0.193804i
$413$	−23.9021			−1.17614
$414$	−1.43661	−	1.20546i	−0.0706054	−	0.0592450i
$415$	−6.40458	−	11.0931i	−0.314388	−	0.544537i
$416$	−3.64245	−	1.32574i	−0.178586	−	0.0650000i
$417$	−4.79686	+	8.30841i	−0.234903	+	0.406864i
$418$	−5.86471	−	10.1580i	−0.286852	−	0.496842i
$419$	−5.63853	−	31.9777i	−0.275460	−	1.56221i	−0.737496	−	0.675351i	$-0.763992\pi$
$419$	−5.63853	−	31.9777i	−0.275460	−	1.56221i	0.462036	−	0.886861i	$-0.347119\pi$
$420$	−1.84855	+	0.672819i	−0.0902002	+	0.0328302i
$421$	−2.27165	+	3.93461i	−0.110713	+	0.191761i	−0.916058	−	0.401046i	$-0.868647\pi$
$421$	−2.27165	+	3.93461i	−0.110713	+	0.191761i	0.805345	+	0.592807i	$0.201980\pi$
$422$	−10.7150	+	8.99093i	−0.521596	+	0.437671i
$423$	−11.9148	+	9.99770i	−0.579317	+	0.486105i
$424$	11.4925	+	4.18291i	0.558123	+	0.203140i
$425$	1.13811	−	6.45453i	0.0552063	−	0.313091i
$426$	−0.0502733	+	0.285114i	−0.00243575	+	0.0138138i
$427$	−25.5010	−	9.28160i	−1.23408	−	0.449168i
$428$	13.2461	−	11.1148i	0.640276	−	0.537255i
$429$	8.39874	−	7.04738i	0.405495	−	0.340251i
$430$	2.50949	−	4.34657i	0.121018	−	0.209610i
$431$	22.3137	−	8.12153i	1.07481	−	0.391200i	0.256839	−	0.966454i	$-0.417319\pi$
$431$	22.3137	−	8.12153i	1.07481	−	0.391200i	0.817975	+	0.575254i	$0.195097\pi$
$432$	−0.825526	−	4.68179i	−0.0397181	−	0.225253i
$433$	−2.84994	−	4.93624i	−0.136959	−	0.237221i	0.789385	−	0.613899i	$-0.210400\pi$
$433$	−2.84994	−	4.93624i	−0.136959	−	0.237221i	−0.926344	+	0.376678i	$0.877066\pi$
$434$	−11.3757	+	19.7033i	−0.546051	+	0.945788i
$435$	8.05517	+	2.93184i	0.386216	+	0.140571i
$436$	4.24900	+	7.35948i	0.203490	+	0.352455i
$437$	−2.56325	−	2.15082i	−0.122617	−	0.102888i
$438$	−11.1287			−0.531752
$439$	28.5863	+	23.9867i	1.36435	+	1.14482i	0.974613	+	0.223897i	$0.0718779\pi$
$439$	28.5863	+	23.9867i	1.36435	+	1.14482i	0.389735	+	0.920927i	$0.372567\pi$
$440$	−2.87750	+	1.04733i	−0.137180	+	0.0499293i
$441$	0.918650	−	5.20992i	0.0437452	−	0.248091i
$442$	4.41155	+	25.0192i	0.209836	+	1.19004i
$443$	−3.11386			−0.147944			−0.0739719	−	0.997260i	$-0.523568\pi$
$443$	−3.11386			−0.147944			−0.0739719	+	0.997260i	$0.523568\pi$
$444$	4.41080	−	3.48034i	0.209328	−	0.165169i
$445$	−6.77162			−0.321006
$446$	−3.74176	−	21.2206i	−0.177177	−	1.00482i
$447$	1.65631	−	9.39340i	0.0783408	−	0.444293i
$448$	−2.00129	+	0.728410i	−0.0945521	+	0.0344141i
$449$	−7.32696	−	6.14805i	−0.345781	−	0.290144i	0.453312	−	0.891352i	$-0.350242\pi$
$449$	−7.32696	−	6.14805i	−0.345781	−	0.290144i	−0.799093	+	0.601207i	$0.794687\pi$
$450$	2.14681			0.101202
$451$	19.3151	+	16.2073i	0.909510	+	0.763170i
$452$	−2.86829	−	4.96802i	−0.134913	−	0.233676i
$453$	−1.32304	−	0.481548i	−0.0621620	−	0.0226251i
$454$	−5.08925	+	8.81483i	−0.238850	+	0.413701i
$455$	4.12765	+	7.14929i	0.193507	+	0.335164i
$456$	−0.614382	−	3.48434i	−0.0287711	−	0.163169i
$457$	−13.7349	+	4.99909i	−0.642491	+	0.233848i	−0.642659	−	0.766152i	$-0.722169\pi$
$457$	−13.7349	+	4.99909i	−0.642491	+	0.233848i	0.000167998		1.00000i	$0.499947\pi$
$458$	1.73348	−	3.00247i	0.0810002	−	0.140296i
$459$	−23.8686	+	20.0282i	−1.11409	+	0.934835i
$460$	−0.669181	+	0.561510i	−0.0312007	+	0.0261805i
$461$	13.3574	+	4.86169i	0.622115	+	0.226432i	0.633796	−	0.773500i	$-0.281496\pi$
$461$	13.3574	+	4.86169i	0.622115	+	0.226432i	−0.0116805	+	0.999932i	$0.503718\pi$
$462$	1.04604	−	5.93237i	0.0486660	−	0.275999i
$463$	0.461499	−	2.61729i	0.0214477	−	0.121636i	−0.972204	−	0.234135i	$-0.924774\pi$
$463$	0.461499	−	2.61729i	0.0214477	−	0.121636i	0.993652	+	0.112499i	$0.0358855\pi$
$464$	8.72073	+	3.17408i	0.404850	+	0.147353i
$465$	−7.55892	+	6.34269i	−0.350537	+	0.294135i
$466$	−15.8881	+	13.3317i	−0.736004	+	0.617581i
$467$	−11.0473	+	19.1345i	−0.511208	+	0.885437i	0.488708	+	0.872447i	$0.337468\pi$
$467$	−11.0473	+	19.1345i	−0.511208	+	0.885437i	−0.999916	+	0.0129901i	$0.995865\pi$
$468$	−7.81966	+	2.84612i	−0.361464	+	0.131562i
$469$	−0.635576	−	3.60453i	−0.0293482	−	0.166442i
$470$	3.62250	+	6.27435i	0.167093	+	0.289414i
$471$	−2.10519	+	3.64630i	−0.0970022	+	0.168013i
$472$	−10.5462	−	3.83851i	−0.485430	−	0.176682i
$473$	7.68450	+	13.3099i	0.353334	+	0.611992i
$474$	−3.13660	−	2.63192i	−0.144069	−	0.120888i
$475$	3.83042			0.175752
$476$	10.6928	+	8.97232i	0.490104	+	0.411246i
$477$	24.6722	−	8.97993i	1.12966	−	0.411163i
$478$	−0.772303	+	4.37995i	−0.0353243	+	0.200334i
$479$	−6.37752	−	36.1687i	−0.291396	−	1.65259i	−0.681499	−	0.731819i	$-0.738671\pi$
$479$	−6.37752	−	36.1687i	−0.291396	−	1.65259i	0.390102	−	0.920772i	$-0.372440\pi$
$480$	−0.923681			−0.0421601
$481$	−17.5975	−	15.6925i	−0.802377	−	0.715517i
$482$	3.60356			0.164138
$483$	−0.298405	−	1.69234i	−0.0135779	−	0.0770042i
$484$	−0.281847	+	1.59843i	−0.0128112	+	0.0726560i
$485$	4.21641	−	1.53465i	0.191457	−	0.0696848i
$486$	−12.3754	−	10.3842i	−0.561358	−	0.471035i
$487$	24.5040			1.11038			0.555191	−	0.831723i	$-0.312645\pi$
$487$	24.5040			1.11038			0.555191	+	0.831723i	$0.312645\pi$
$488$	−9.76115	−	8.19058i	−0.441866	−	0.370770i
$489$	5.57567	+	9.65735i	0.252141	+	0.436720i
$490$	−2.31564	−	0.842825i	−0.104610	−	0.0380749i
$491$	3.72723	−	6.45575i	0.168207	−	0.291344i	−0.769582	−	0.638548i	$-0.779536\pi$
$491$	3.72723	−	6.45575i	0.168207	−	0.291344i	0.937790	+	0.347204i	$0.112869\pi$
$492$	3.80281	+	6.58665i	0.171444	+	0.296949i
$493$	−10.5621	−	59.9006i	−0.475693	−	2.69779i
$494$	−13.9521	+	5.07816i	−0.627736	+	0.228477i
$495$	−3.28696	+	5.69318i	−0.147738	+	0.255889i
$496$	−8.18347	+	6.86675i	−0.367449	+	0.308326i
$497$	0.511356	−	0.429078i	0.0229374	−	0.0192468i
$498$	11.1180	+	4.04664i	0.498212	+	0.181334i
$499$	−3.86679	+	21.9297i	−0.173102	+	0.981707i	0.767211	+	0.641395i	$0.221644\pi$
$499$	−3.86679	+	21.9297i	−0.173102	+	0.981707i	−0.940312	+	0.340313i	$0.889467\pi$
$500$	0.173648	−	0.984808i	0.00776578	−	0.0440419i
$501$	−9.69733	−	3.52954i	−0.433245	−	0.157688i
$502$	23.0831	−	19.3690i	1.03025	−	0.864483i
$503$	20.0016	−	16.7834i	0.891829	−	0.748333i	−0.0767473	−	0.997051i	$-0.524453\pi$
$503$	20.0016	−	16.7834i	0.891829	−	0.748333i	0.968576	+	0.248717i	$0.0800090\pi$
$504$	−2.28606	+	3.95958i	−0.101829	+	0.176374i
$505$	−18.6530	+	6.78914i	−0.830048	+	0.302113i
$506$	−0.464505	−	2.63434i	−0.0206497	−	0.117111i
$507$	−0.935254	−	1.61991i	−0.0415361	−	0.0719426i
$508$	1.36343	−	2.36154i	0.0604926	−	0.104776i
$509$	19.8122	+	7.21105i	0.878160	+	0.319624i	0.741467	−	0.670989i	$-0.234130\pi$
$509$	19.8122	+	7.21105i	0.878160	+	0.319624i	0.136693	+	0.990613i	$0.456353\pi$
$510$	3.02695	+	5.24283i	0.134036	+	0.232157i
$511$	19.6563	+	16.4936i	0.869545	+	0.729635i
$512$	−1.00000			−0.0441942
$513$	−13.9496	−	11.7051i	−0.615889	−	0.516792i
$514$	−0.569870	+	0.207416i	−0.0251359	+	0.00914872i
$515$	1.06271	−	6.02693i	0.0468286	−	0.265578i
$516$	0.805023	+	4.56551i	0.0354392	+	0.200985i
$517$	−22.1854			−0.975715
$518$	−12.9488	−	0.389938i	−0.568936	−	0.0171329i
$519$	−5.45602			−0.239493
$520$	0.673098	+	3.81733i	0.0295173	+	0.167401i
$521$	5.34652	−	30.3216i	0.234235	−	1.32841i	−0.609983	−	0.792414i	$-0.708824\pi$
$521$	5.34652	−	30.3216i	0.234235	−	1.32841i	0.844219	−	0.535999i	$-0.180065\pi$
$522$	18.7218	−	6.81417i	0.819429	−	0.298248i
$523$	29.8536	+	25.0501i	1.30541	+	1.09536i	0.989184	+	0.146679i	$0.0468586\pi$
$523$	29.8536	+	25.0501i	1.30541	+	1.09536i	0.316221	+	0.948686i	$0.397586\pi$
$524$	15.4155			0.673427
$525$	1.50696	+	1.26449i	0.0657689	+	0.0551867i
$526$	3.70204	+	6.41212i	0.161417	+	0.279582i
$527$	65.7934	+	23.9469i	2.86601	+	1.04314i
$528$	1.41424	−	2.44953i	0.0615467	−	0.106602i
$529$	11.1185	+	19.2577i	0.483411	+	0.837292i
$530$	−2.12372	−	12.0442i	−0.0922485	−	0.523167i
$531$	−22.6408	+	8.24057i	−0.982526	+	0.357610i
$532$	−4.07888	+	7.06482i	−0.176842	+	0.306299i
$533$	24.4497	−	20.5158i	1.05904	−	0.888636i
$534$	4.79147	−	4.02052i	0.207347	−	0.173985i
$535$	−16.2488	−	5.91407i	−0.702496	−	0.255688i
$536$	0.298430	−	1.69248i	0.0128902	−	0.0731041i
$537$	−0.654458	+	3.71161i	−0.0282419	+	0.160168i
$538$	21.2022	+	7.71698i	0.914093	+	0.332703i
$539$	5.78055	−	4.85046i	0.248986	−	0.208924i
$540$	−3.64179	+	3.05582i	−0.156718	+	0.131502i
$541$	21.2553	−	36.8153i	0.913838	−	1.58281i	0.105244	−	0.994446i	$-0.466438\pi$
$541$	21.2553	−	36.8153i	0.913838	−	1.58281i	0.808594	−	0.588367i	$-0.200229\pi$
$542$	12.9566	−	4.71581i	0.556533	−	0.202561i
$543$	−2.50833	−	14.2254i	−0.107643	−	0.610472i
$544$	3.27705	+	5.67602i	0.140502	+	0.243357i
$545$	4.24900	−	7.35948i	0.182007	−	0.315245i
$546$	−7.16540	−	2.60799i	−0.306651	−	0.111612i
$547$	−6.29964	−	10.9113i	−0.269353	−	0.466534i	0.699342	−	0.714788i	$-0.253477\pi$
$547$	−6.29964	−	10.9113i	−0.269353	−	0.466534i	−0.968695	+	0.248254i	$0.920143\pi$
$548$	0.0301727	+	0.0253179i	0.00128891	+	0.00108153i
$549$	−27.3553			−1.16749
$550$	2.34576	+	1.96833i	0.100024	+	0.0839298i
$551$	33.4040	−	12.1581i	1.42306	−	0.517951i
$552$	0.140114	−	0.794627i	0.00596366	−	0.0338216i
$553$	1.63937	+	9.29733i	0.0697131	+	0.395363i
$554$	−4.92251			−0.209137
$555$	−5.21946	−	2.07970i	−0.221554	−	0.0882784i
$556$	10.3864			0.440481
$557$	−3.96064	−	22.4619i	−0.167818	−	0.951740i	−0.946112	−	0.323841i	$-0.895026\pi$
$557$	−3.96064	−	22.4619i	−0.167818	−	0.951740i	0.778294	−	0.627900i	$-0.216085\pi$
$558$	−3.98243	+	22.5855i	−0.168590	+	0.956119i
$559$	18.2814	−	6.65389i	0.773221	−	0.281430i
$560$	1.63147	+	1.36896i	0.0689421	+	0.0578493i
$561$	−18.5381			−0.782679
$562$	−11.5237	−	9.66955i	−0.486099	−	0.407885i
$563$	−10.4108	−	18.0320i	−0.438763	−	0.759959i	0.558832	−	0.829281i	$-0.311250\pi$
$563$	−10.4108	−	18.0320i	−0.438763	−	0.759959i	−0.997594	+	0.0693217i	$0.977917\pi$
$564$	−6.28849	−	2.28882i	−0.264793	−	0.0963768i
$565$	−2.86829	+	4.96802i	−0.120670	+	0.209006i
$566$	7.61785	+	13.1945i	0.320202	+	0.554606i
$567$	0.757858	+	4.29803i	0.0318271	+	0.180500i
$568$	0.294531	−	0.107200i	0.0123582	−	0.00449803i
$569$	−4.47226	+	7.74617i	−0.187487	+	0.324736i	−0.944412	−	0.328765i	$-0.893367\pi$
$569$	−4.47226	+	7.74617i	−0.187487	+	0.324736i	0.756925	+	0.653502i	$0.226701\pi$
$570$	−2.71033	+	2.27424i	−0.113523	+	0.0952574i
$571$	17.4743	−	14.6627i	0.731276	−	0.613613i	−0.199203	−	0.979958i	$-0.563835\pi$
$571$	17.4743	−	14.6627i	0.731276	−	0.613613i	0.930479	+	0.366345i	$0.119391\pi$
$572$	−11.1538	−	4.05966i	−0.466365	−	0.169743i
$573$	2.50217	−	14.1905i	0.104530	−	0.592817i
$574$	3.04514	−	17.2698i	0.127101	−	0.720828i
$575$	0.820873	+	0.298773i	0.0342328	+	0.0124597i
$576$	−1.64455	+	1.37994i	−0.0685231	+	0.0574977i
$577$	3.43183	−	2.87965i	0.142869	−	0.119881i	−0.568552	−	0.822647i	$-0.692496\pi$
$577$	3.43183	−	2.87965i	0.142869	−	0.119881i	0.711421	+	0.702766i	$0.248052\pi$
$578$	12.9781	−	22.4788i	0.539819	−	0.934993i
$579$	−7.37617	+	2.68471i	−0.306543	+	0.111573i
$580$	−1.61153	−	9.13941i	−0.0669149	−	0.379493i
$581$	−13.6400	−	23.6252i	−0.565883	−	0.980139i
$582$	−2.07229	+	3.58930i	−0.0858990	+	0.148781i
$583$	35.1919	+	12.8088i	1.45750	+	0.530487i
$584$	6.02413	+	10.4341i	0.249280	+	0.431766i
$585$	6.37465	+	5.34896i	0.263559	+	0.221152i
$586$	30.4492			1.25785
$587$	−4.69844	−	3.94246i	−0.193926	−	0.162723i	0.540655	−	0.841245i	$-0.318177\pi$
$587$	−4.69844	−	3.94246i	−0.193926	−	0.162723i	−0.734580	+	0.678522i	$0.762621\pi$
$588$	2.13891	−	0.778501i	0.0882074	−	0.0321049i
$589$	−7.10559	+	40.2978i	−0.292781	+	1.66044i
$590$	1.94886	+	11.0526i	0.0802335	+	0.455027i
$591$	7.36006			0.302752
$592$	−5.65072	−	2.25154i	−0.232243	−	0.0925375i
$593$	−2.46570			−0.101254			−0.0506271	−	0.998718i	$-0.516122\pi$
$593$	−2.46570			−0.101254			−0.0506271	+	0.998718i	$0.516122\pi$
$594$	−2.52790	−	14.3365i	−0.103721	−	0.588232i
$595$	2.42386	−	13.7464i	0.0993686	−	0.563547i
$596$	−9.70365	+	3.53184i	−0.397477	+	0.144670i
$597$	−8.50574	−	7.13716i	−0.348117	−	0.292105i
$598$	−3.38609			−0.138467
$599$	16.0492	+	13.4669i	0.655752	+	0.550241i	0.908810	−	0.417210i	$-0.136992\pi$
$599$	16.0492	+	13.4669i	0.655752	+	0.550241i	−0.253058	+	0.967451i	$0.581436\pi$
$600$	0.461841	+	0.799932i	0.0188546	+	0.0326571i
$601$	−21.2968	−	7.75139i	−0.868713	−	0.316186i	−0.131067	−	0.991373i	$-0.541840\pi$
$601$	−21.2968	−	7.75139i	−0.868713	−	0.316186i	−0.737646	+	0.675188i	$0.764063\pi$
$602$	5.34454	−	9.25701i	0.217827	−	0.377288i
$603$	−1.84475	−	3.19520i	−0.0751239	−	0.130118i
$604$	0.264689	+	1.50113i	0.0107701	+	0.0610800i
$605$	1.52521	−	0.555129i	0.0620084	−	0.0225692i
$606$	9.16759	−	15.8787i	0.372408	−	0.645029i
$607$	−6.52365	+	5.47399i	−0.264787	+	0.222183i	−0.765508	−	0.643426i	$-0.777512\pi$
$607$	−6.52365	+	5.47399i	−0.264787	+	0.222183i	0.500722	+	0.865608i	$0.333068\pi$
$608$	−2.93427	+	2.46215i	−0.119000	+	0.0998532i
$609$	17.1553	+	6.24403i	0.695169	+	0.253021i
$610$	−2.21267	+	12.5487i	−0.0895885	+	0.508082i
$611$	−4.87659	+	27.6565i	−0.197286	+	1.11886i
$612$	13.2219	+	4.81237i	0.534463	+	0.194529i
$613$	−16.8463	+	14.1357i	−0.680414	+	0.570935i	−0.916127	−	0.400888i	$-0.868702\pi$
$613$	−16.8463	+	14.1357i	−0.680414	+	0.570935i	0.235713	+	0.971823i	$0.424257\pi$
$614$	4.30752	−	3.61444i	0.173837	−	0.145867i
$615$	3.80281	−	6.58665i	0.153344	−	0.265600i
$616$	−6.12830	+	2.23052i	−0.246916	+	0.0898702i
$617$	6.85567	+	38.8804i	0.275999	+	1.56527i	0.735771	+	0.677230i	$0.236820\pi$
$617$	6.85567	+	38.8804i	0.275999	+	1.56527i	−0.459772	+	0.888037i	$0.652069\pi$
$618$	2.82642	+	4.89551i	0.113695	+	0.196926i
$619$	8.48317	−	14.6933i	0.340967	−	0.590573i	−0.643645	−	0.765324i	$-0.722579\pi$
$619$	8.48317	−	14.6933i	0.340967	−	0.590573i	0.984613	+	0.174751i	$0.0559121\pi$
$620$	10.0385	+	3.65372i	0.403156	+	0.146737i
$621$	−2.07645	−	3.59651i	−0.0833249	−	0.144323i
$622$	3.24387	+	2.72193i	0.130068	+	0.109140i
$623$	−14.4217			−0.577794
$624$	−2.74274	−	2.30143i	−0.109797	−	0.0921309i
$625$	−0.939693	+	0.342020i	−0.0375877	+	0.0136808i
$626$	−3.27762	+	18.5883i	−0.131000	+	0.742939i
$627$	−1.88135	−	10.6696i	−0.0751337	−	0.426104i
$628$	4.55827			0.181895
$629$	5.73793	+	39.4520i	0.228786	+	1.57305i
$630$	4.57213			0.182158
$631$	−7.64545	−	43.3595i	−0.304360	−	1.72611i	−0.626500	−	0.779422i	$-0.715513\pi$
$631$	−7.64545	−	43.3595i	−0.304360	−	1.72611i	0.322139	−	0.946692i	$-0.395598\pi$
$632$	−0.769755	+	4.36550i	−0.0306192	+	0.173650i
$633$	−12.1407	+	4.41887i	−0.482551	+	0.175634i
$634$	−20.1007	−	16.8665i	−0.798299	−	0.669853i
$635$	−2.72687			−0.108212
$636$	8.65373	+	7.26134i	0.343143	+	0.287931i
$637$	−4.77599	−	8.27226i	−0.189232	−	0.327759i
$638$	26.7044	+	9.71960i	1.05724	+	0.384803i
$639$	0.336441	−	0.582733i	0.0133094	−	0.0230526i
$640$	0.500000	+	0.866025i	0.0197642	+	0.0342327i
$641$	0.0130284	+	0.0738877i	0.000514591	+	0.00291839i	0.985064	−	0.172189i	$-0.0550839\pi$
$641$	0.0130284	+	0.0738877i	0.000514591	+	0.00291839i	−0.984549	+	0.175107i	$0.943973\pi$
$642$	15.0087	−	5.46272i	0.592346	−	0.215596i
$643$	8.83474	−	15.3022i	0.348408	−	0.603460i	−0.637559	−	0.770402i	$-0.720056\pi$
$643$	8.83474	−	15.3022i	0.348408	−	0.603460i	0.985967	+	0.166941i	$0.0533891\pi$
$644$	−1.42518	+	1.19586i	−0.0561598	+	0.0471236i
$645$	3.55134	−	2.97993i	0.139834	−	0.117334i
$646$	23.5909	+	8.58640i	0.928173	+	0.337827i
$647$	−4.02704	+	22.8385i	−0.158319	+	0.897874i	0.797369	+	0.603492i	$0.206225\pi$
$647$	−4.02704	+	22.8385i	−0.158319	+	0.897874i	−0.955688	+	0.294381i	$0.904886\pi$
$648$	−0.355847	+	2.01811i	−0.0139790	+	0.0792789i
$649$	−32.2944	−	11.7542i	−1.26767	−	0.461393i
$650$	2.96935	−	2.49158i	0.116468	−	0.0977280i
$651$	−16.0985	+	13.5082i	−0.630948	+	0.529428i
$652$	6.03636	−	10.4553i	0.236402	−	0.409460i
$653$	−20.9020	+	7.60769i	−0.817957	+	0.297712i	−0.716907	−	0.697169i	$-0.754443\pi$
$653$	−20.9020	+	7.60769i	−0.817957	+	0.297712i	−0.101051	+	0.994881i	$0.532220\pi$
$654$	1.36304	+	7.73019i	0.0532991	+	0.302274i
$655$	−7.70773	−	13.3502i	−0.301166	−	0.521635i
$656$	4.11701	−	7.13087i	0.160742	−	0.278414i
$657$	24.3055	+	8.84647i	0.948247	+	0.345134i
$658$	7.71494	+	13.3627i	0.300760	+	0.520931i
$659$	14.8397	+	12.4520i	0.578071	+	0.485059i	0.884313	−	0.466894i	$-0.154627\pi$
$659$	14.8397	+	12.4520i	0.578071	+	0.485059i	−0.306242	+	0.951954i	$0.599072\pi$
$660$	−2.82847			−0.110098
$661$	−13.3026	−	11.1622i	−0.517413	−	0.434161i	0.346316	−	0.938118i	$-0.387433\pi$
$661$	−13.3026	−	11.1622i	−0.517413	−	0.434161i	−0.863729	+	0.503957i	$0.831877\pi$
$662$	6.37982	−	2.32207i	0.247959	−	0.0902496i
$663$	−4.07487	+	23.1097i	−0.158255	+	0.897508i
$664$	−2.22429	−	12.6146i	−0.0863191	−	0.489540i
$665$	8.15776			0.316344
$666$	−12.3999	+	4.09490i	−0.480486	+	0.158674i
$667$	8.10694			0.313902
$668$	1.94006	+	11.0026i	0.0750630	+	0.425704i
$669$	3.45619	−	19.6010i	0.133624	−	0.757820i
$670$	−1.61495	+	0.587793i	−0.0623909	+	0.0227084i
$671$	−29.8903	−	25.0810i	−1.15390	−	0.968240i
$672$	−1.96719			−0.0758860
$673$	−12.3302	−	10.3463i	−0.475294	−	0.398819i	0.373427	−	0.927660i	$-0.378183\pi$
$673$	−12.3302	−	10.3463i	−0.475294	−	0.398819i	−0.848721	+	0.528840i	$0.822627\pi$
$674$	4.99978	+	8.65987i	0.192584	+	0.333566i
$675$	4.46731	+	1.62597i	0.171947	+	0.0625836i
$676$	−1.01253	+	1.75375i	−0.0389434	+	0.0674520i
$677$	−3.62604	−	6.28049i	−0.139360	−	0.241379i	0.787894	−	0.615810i	$-0.211171\pi$
$677$	−3.62604	−	6.28049i	−0.139360	−	0.241379i	−0.927255	+	0.374432i	$0.877838\pi$
$678$	−0.920122	−	5.21827i	−0.0353371	−	0.200406i
$679$	8.97982	−	3.26839i	0.344614	−	0.125429i
$680$	3.27705	−	5.67602i	0.125669	−	0.217665i
$681$	−7.20211	+	6.04328i	−0.275985	+	0.231579i
$682$	−25.0592	+	21.0272i	−0.959567	+	0.805172i
$683$	19.5820	+	7.12728i	0.749286	+	0.272718i	0.688305	−	0.725421i	$-0.258355\pi$
$683$	19.5820	+	7.12728i	0.749286	+	0.272718i	0.0609808	+	0.998139i	$0.480577\pi$
$684$	−1.42794	+	8.09826i	−0.0545987	+	0.309645i
$685$	0.00683960	−	0.0387893i	0.000261328	−	0.00148206i
$686$	−18.9407	−	6.89386i	−0.723160	−	0.263209i
$687$	2.45315	−	2.05844i	0.0935937	−	0.0785344i
$688$	3.84476	−	3.22614i	0.146580	−	0.122995i
$689$	23.7031	−	41.0550i	0.903016	−	1.56407i
$690$	−0.758225	+	0.275971i	−0.0288651	+	0.0105060i
$691$	−0.200577	−	1.13753i	−0.00763031	−	0.0432737i	0.980755	−	0.195243i	$-0.0625496\pi$
$691$	−0.200577	−	1.13753i	−0.00763031	−	0.0432737i	−0.988385	+	0.151969i	$0.951438\pi$
$692$	2.95341	+	5.11546i	0.112272	+	0.194461i
$693$	−7.00033	+	12.1249i	−0.265920	+	0.460588i
$694$	−7.96908	−	2.90051i	−0.302502	−	0.110102i
$695$	−5.19320	−	8.99488i	−0.196989	−	0.341195i
$696$	6.56664	+	5.51006i	0.248908	+	0.208858i
$697$	−53.9666			−2.04413
$698$	−10.2298	−	8.58382i	−0.387203	−	0.324902i
$699$	−18.0023	+	6.55229i	−0.680908	+	0.247830i
$700$	0.369824	−	2.09737i	0.0139780	−	0.0792733i
$701$	7.02791	+	39.8573i	0.265440	+	1.50539i	0.767778	+	0.640716i	$0.221362\pi$
$701$	7.02791	+	39.8573i	0.265440	+	1.50539i	−0.502338	+	0.864672i	$0.667527\pi$
$702$	−18.4276			−0.695505
$703$	−22.1243	+	7.30627i	−0.834435	+	0.275561i
$704$	−3.06217			−0.115410
$705$	1.16207	+	6.59040i	0.0437659	+	0.248209i
$706$	−2.67544	+	15.1732i	−0.100691	+	0.571049i
$707$	−39.7259	+	14.4590i	−1.49404	+	0.543788i
$708$	−7.94123	−	6.66348i	−0.298450	−	0.250429i
$709$	14.9087			0.559907			0.279954	−	0.960014i	$-0.409681\pi$
$709$	14.9087			0.559907			0.279954	+	0.960014i	$0.409681\pi$
$710$	−0.240104	−	0.201471i	−0.00901093	−	0.00756107i
$711$	4.75824	+	8.24152i	0.178448	+	0.309081i
$712$	−6.36324	−	2.31603i	−0.238473	−	0.0867969i
$713$	−4.66599	+	8.08173i	−0.174743	+	0.302663i
$714$	6.44658	+	11.1658i	0.241257	+	0.417870i
$715$	2.06114	+	11.6893i	0.0770824	+	0.437156i
$716$	3.83420	−	1.39554i	0.143291	−	0.0521536i
$717$	−2.05404	+	3.55771i	−0.0767096	+	0.132865i
$718$	−2.53261	+	2.12511i	−0.0945161	+	0.0793084i
$719$	11.9938	−	10.0640i	0.447295	−	0.375325i	−0.391136	−	0.920333i	$-0.627918\pi$
$719$	11.9938	−	10.0640i	0.447295	−	0.375325i	0.838431	+	0.545008i	$0.183473\pi$
$720$	2.01734	+	0.734253i	0.0751820	+	0.0273640i
$721$	2.26329	−	12.8357i	0.0842892	−	0.478028i
$722$	0.751529	−	4.26214i	0.0279690	−	0.158620i
$723$	3.12780	+	1.13843i	0.116324	+	0.0423386i
$724$	−11.9797	+	10.0522i	−0.445222	+	0.373585i
$725$	−7.10920	+	5.96533i	−0.264029	+	0.221547i
$726$	−0.749609	+	1.29836i	−0.0278206	+	0.0481867i
$727$	30.1820	−	10.9853i	1.11939	−	0.407424i	0.284959	−	0.958540i	$-0.408020\pi$
$727$	30.1820	−	10.9853i	1.11939	−	0.407424i	0.834429	+	0.551116i	$0.185798\pi$
$728$	1.43352	+	8.12988i	0.0531297	+	0.301313i
$729$	−4.38712	−	7.59872i	−0.162486	−	0.281434i
$730$	6.02413	−	10.4341i	0.222963	−	0.386183i
$731$	−30.9111	−	11.2507i	−1.14329	−	0.416123i
$732$	−5.88490	−	10.1929i	−0.217512	−	0.376742i
$733$	12.3602	+	10.3715i	0.456535	+	0.383079i	0.841854	−	0.539705i	$-0.181464\pi$
$733$	12.3602	+	10.3715i	0.456535	+	0.383079i	−0.385319	+	0.922783i	$0.625909\pi$
$734$	32.3322			1.19340
$735$	−1.74366	−	1.46310i	−0.0643158	−	0.0539674i
$736$	−0.820873	+	0.298773i	−0.0302578	+	0.0110129i
$737$	0.913846	−	5.18268i	0.0336619	−	0.190906i
$738$	−3.06956	−	17.4084i	−0.112992	−	0.640810i
$739$	−39.6173			−1.45735			−0.728673	−	0.684862i	$-0.759863\pi$
$739$	−39.6173			−1.45735			−0.728673	+	0.684862i	$0.759863\pi$
$740$	0.875471	+	6.01943i	0.0321830	+	0.221279i
$741$	−13.7144			−0.503811
$742$	−4.52295	−	25.6509i	−0.166043	−	0.941675i
$743$	3.54693	−	20.1156i	0.130124	−	0.737971i	−0.848007	−	0.529984i	$-0.822198\pi$
$743$	3.54693	−	20.1156i	0.130124	−	0.737971i	0.978132	−	0.207987i	$-0.0666911\pi$
$744$	−9.27239	+	3.37487i	−0.339942	+	0.123729i
$745$	7.91049	+	6.63769i	0.289818	+	0.243186i
$746$	11.7895			0.431643
$747$	−21.0654	−	17.6759i	−0.770741	−	0.646728i
$748$	10.0349	+	17.3810i	0.366912	+	0.635511i
$749$	−34.6055	−	12.5954i	−1.26446	−	0.460225i
$750$	0.461841	−	0.799932i	0.0168640	−	0.0292094i
$751$	−8.85260	−	15.3332i	−0.323036	−	0.559515i	0.658077	−	0.752951i	$-0.271370\pi$
$751$	−8.85260	−	15.3332i	−0.323036	−	0.559515i	−0.981113	+	0.193436i	$0.938037\pi$
$752$	1.25808	+	7.13493i	0.0458775	+	0.260184i
$753$	26.1546	−	9.51951i	0.953128	−	0.346910i
$754$	17.9864	−	31.1534i	0.655027	−	1.13454i
$755$	1.16767	−	0.979791i	0.0424959	−	0.0356583i
$756$	−7.75602	+	6.50807i	−0.282084	+	0.236696i
$757$	−22.4442	−	8.16901i	−0.815747	−	0.296908i	−0.0997513	−	0.995012i	$-0.531805\pi$
$757$	−22.4442	−	8.16901i	−0.815747	−	0.296908i	−0.715996	+	0.698105i	$0.754027\pi$
$758$	2.55079	−	14.4663i	0.0926489	−	0.525438i
$759$	0.429054	−	2.43329i	0.0155737	−	0.0883227i
$760$	3.59942	+	1.31008i	0.130565	+	0.0475216i
$761$	15.6932	−	13.1682i	0.568879	−	0.477346i	−0.312395	−	0.949952i	$-0.601131\pi$
$761$	15.6932	−	13.1682i	0.568879	−	0.477346i	0.881274	+	0.472606i	$0.156687\pi$
$762$	1.92948	−	1.61903i	0.0698977	−	0.0586511i
$763$	9.04921	−	15.6737i	0.327603	−	0.567426i
$764$	−14.6592	+	5.33551i	−0.530351	+	0.193032i
$765$	−2.44330	−	13.8567i	−0.0883378	−	0.500989i
$766$	−1.58227	−	2.74057i	−0.0571696	−	0.0990207i
$767$	−21.7515	+	37.6747i	−0.785402	+	1.36036i
$768$	−0.867977	−	0.315918i	−0.0313204	−	0.0113997i
$769$	−0.911373	−	1.57854i	−0.0328650	−	0.0569238i	0.849125	−	0.528192i	$-0.177130\pi$
$769$	−0.911373	−	1.57854i	−0.0328650	−	0.0569238i	−0.881990	+	0.471268i	$0.843796\pi$
$770$	4.99584	+	4.19200i	0.180037	+	0.151069i
$771$	−0.560160			−0.0201737
$772$	6.50994	+	5.46249i	0.234298	+	0.196599i
$773$	15.9821	−	5.81701i	0.574836	−	0.209223i	−0.0382108	−	0.999270i	$-0.512166\pi$
$773$	15.9821	−	5.81701i	0.574836	−	0.209223i	0.613047	+	0.790046i	$0.289944\pi$
$774$	1.87103	−	10.6111i	0.0672527	−	0.381409i
$775$	−1.85504	−	10.5205i	−0.0666351	−	0.377906i
$776$	4.48701			0.161074
$777$	−11.1160	−	4.42920i	−0.398786	−	0.158897i
$778$	15.1637			0.543644
$779$	−5.47682	−	31.0606i	−0.196227	−	1.11286i
$780$	−0.621728	+	3.52600i	−0.0222614	+	0.126251i
$781$	0.901905	−	0.328266i	0.0322727	−	0.0117463i
$782$	4.38588	+	3.68019i	0.156839	+	0.131603i
$783$	44.1192			1.57669
$784$	−1.88773	−	1.58399i	−0.0674189	−	0.0565711i
$785$	−2.27913	−	3.94758i	−0.0813458	−	0.140895i
$786$	13.3803	+	4.87001i	0.477258	+	0.173708i
$787$	−26.8079	+	46.4327i	−0.955599	+	1.65515i	−0.222606	+	0.974908i	$0.571456\pi$
$787$	−26.8079	+	46.4327i	−0.955599	+	1.65515i	−0.732992	+	0.680237i	$0.761877\pi$
$788$	−3.98409	−	6.90064i	−0.141927	−	0.245825i
$789$	1.18758	+	6.73511i	0.0422790	+	0.239776i
$790$	4.16551	−	1.51612i	0.148202	−	0.0539412i
$791$	−6.10868	+	10.5805i	−0.217200	+	0.376201i
$792$	−5.03591	+	4.22563i	−0.178943	+	0.150151i
$793$	−37.8363	+	31.7484i	−1.34361	+	1.12742i
$794$	−7.83476	−	2.85162i	−0.278045	−	0.101200i
$795$	1.96164	−	11.1250i	0.0695722	−	0.394564i
$796$	−2.08740	+	11.8382i	−0.0739860	+	0.419595i
$797$	−10.9914	−	4.00054i	−0.389335	−	0.141706i	0.139933	−	0.990161i	$-0.455311\pi$
$797$	−10.9914	−	4.00054i	−0.389335	−	0.141706i	−0.529268	+	0.848455i	$0.677533\pi$
$798$	−5.77227	+	4.84351i	−0.204336	+	0.171458i
$799$	36.3752	−	30.5224i	1.28686	−	1.07981i
$800$	0.500000	−	0.866025i	0.0176777	−	0.0306186i
$801$	−13.6607	+	4.97209i	−0.482677	+	0.175680i
$802$	−1.89628	−	10.7544i	−0.0669601	−	0.379750i
$803$	18.4469	+	31.9510i	0.650978	+	1.12753i
$804$	0.793716	−	1.37476i	0.0279922	−	0.0484839i
$805$	1.74824	+	0.636306i	0.0616172	+	0.0224268i
$806$	20.7044	+	35.8610i	0.729280	+	1.26315i
$807$	15.9651	+	13.3963i	0.561999	+	0.471573i
$808$	−19.8501			−0.698325
$809$	−11.9322	−	10.0123i	−0.419512	−	0.352013i	0.408465	−	0.912774i	$-0.366064\pi$
$809$	−11.9322	−	10.0123i	−0.419512	−	0.352013i	−0.827978	+	0.560761i	$0.810509\pi$
$810$	1.92566	−	0.700882i	0.0676608	−	0.0246265i
$811$	−7.75632	+	43.9883i	−0.272361	+	1.54464i	0.474859	+	0.880062i	$0.342499\pi$
$811$	−7.75632	+	43.9883i	−0.272361	+	1.54464i	−0.747221	+	0.664576i	$0.768612\pi$
$812$	−3.43211	−	19.4645i	−0.120444	−	0.683069i
$813$	12.7358			0.446665
$814$	−17.3035	−	6.89459i	−0.606487	−	0.241655i
$815$	−12.0727			−0.422889
$816$	1.05125	+	5.96193i	0.0368011	+	0.208709i
$817$	3.33835	−	18.9327i	0.116794	−	0.662373i
$818$	−11.0061	+	4.00590i	−0.384820	+	0.140063i
$819$	13.5763	+	11.3918i	0.474393	+	0.398063i
$820$	−8.23402			−0.287545
$821$	−22.4414	−	18.8306i	−0.783211	−	0.657192i	0.160844	−	0.986980i	$-0.448578\pi$
$821$	−22.4414	−	18.8306i	−0.783211	−	0.657192i	−0.944055	+	0.329788i	$0.893023\pi$
$822$	0.0181908	+	0.0315074i	0.000634478	+	0.00109895i
$823$	26.3968	+	9.60763i	0.920133	+	0.334901i	0.758291	−	0.651916i	$-0.226034\pi$
$823$	26.3968	+	9.60763i	0.920133	+	0.334901i	0.161842	+	0.986817i	$0.448257\pi$
$824$	3.05995	−	5.30000i	0.106599	−	0.184634i
$825$	1.41424	+	2.44953i	0.0492374	+	0.0852817i
$826$	4.15055	+	23.5390i	0.144416	+	0.819025i
$827$	−13.4643	+	4.90061i	−0.468200	+	0.170411i	−0.565337	−	0.824860i	$-0.691254\pi$
$827$	−13.4643	+	4.90061i	−0.468200	+	0.170411i	0.0971367	+	0.995271i	$0.469032\pi$
$828$	−0.937679	+	1.62411i	−0.0325866	+	0.0564416i
$829$	−16.7473	+	14.0527i	−0.581659	+	0.488070i	−0.885491	−	0.464656i	$-0.846178\pi$
$829$	−16.7473	+	14.0527i	−0.581659	+	0.488070i	0.303832	+	0.952725i	$0.401734\pi$
$830$	−9.81238	+	8.23357i	−0.340593	+	0.285791i
$831$	−4.27262	−	1.55511i	−0.148216	−	0.0539461i
$832$	−0.673098	+	3.81733i	−0.0233355	+	0.132342i
$833$	−2.80459	+	15.9056i	−0.0971732	+	0.551096i
$834$	9.01515	+	3.28125i	0.312169	+	0.113620i
$835$	8.55851	−	7.18144i	0.296179	−	0.248524i
$836$	−8.98525	+	7.53952i	−0.310761	+	0.260760i
$837$	−25.3930	+	43.9820i	−0.877711	+	1.52024i
$838$	−30.5127	+	11.1057i	−1.05405	+	0.383641i
$839$	3.68712	+	20.9107i	0.127293	+	0.721917i	0.979919	+	0.199395i	$0.0638976\pi$
$839$	3.68712	+	20.9107i	0.127293	+	0.721917i	−0.852626	+	0.522522i	$0.824991\pi$
$840$	0.983596	+	1.70364i	0.0339373	+	0.0587811i
$841$	−28.5629	+	49.4725i	−0.984929	+	1.70595i
$842$	4.26930	+	1.55390i	0.147130	+	0.0535509i
$843$	−6.94754	−	12.0335i	−0.239286	−	0.414455i
$844$	10.7150	+	8.99093i	0.368824	+	0.309480i
$845$	2.02506			0.0696641
$846$	11.9148	+	9.99770i	0.409639	+	0.343728i
$847$	3.24827	−	1.18227i	0.111612	−	0.0406234i
$848$	2.12372	−	12.0442i	0.0729289	−	0.413600i
$849$	2.44374	+	13.8591i	0.0838689	+	0.475644i
$850$	−6.55410			−0.224804
$851$	−5.31122	−	0.159941i	−0.182066	−	0.00548272i
$852$	0.289512			0.00991853
$853$	−2.47107	−	14.0141i	−0.0846078	−	0.479834i	−0.997441	−	0.0715009i	$-0.977221\pi$
$853$	−2.47107	−	14.0141i	−0.0846078	−	0.479834i	0.912833	−	0.408334i	$-0.133890\pi$
$854$	−4.71239	+	26.7253i	−0.161255	+	0.914521i
$855$	7.72727	−	2.81250i	0.264267	−	0.0961854i
$856$	−13.2461	−	11.1148i	−0.452743	−	0.379897i
$857$	43.2370			1.47695			0.738474	−	0.674282i	$-0.235547\pi$
$857$	43.2370			1.47695			0.738474	+	0.674282i	$0.235547\pi$
$858$	−8.39874	−	7.04738i	−0.286728	−	0.240594i
$859$	3.18907	+	5.52363i	0.108810	+	0.188464i	0.915288	−	0.402799i	$-0.131963\pi$
$859$	3.18907	+	5.52363i	0.108810	+	0.188464i	−0.806479	+	0.591263i	$0.798629\pi$
$860$	−4.71630	−	1.71659i	−0.160825	−	0.0585354i
$861$	8.09895	−	14.0278i	0.276011	−	0.478066i
$862$	−11.8729	−	20.5644i	−0.404392	−	0.700427i
$863$	5.53708	+	31.4024i	0.188485	+	1.06895i	0.921396	+	0.388625i	$0.127050\pi$
$863$	5.53708	+	31.4024i	0.188485	+	1.06895i	−0.732911	+	0.680324i	$0.761839\pi$
$864$	−4.46731	+	1.62597i	−0.151981	+	0.0553166i
$865$	2.95341	−	5.11546i	0.100419	−	0.173931i
$866$	−4.36636	+	3.66381i	−0.148375	+	0.124501i
$867$	18.3661	−	15.4110i	0.623747	−	0.523386i
$868$	21.3793	+	7.78143i	0.725661	+	0.264119i
$869$	−2.35712	+	13.3679i	−0.0799600	+	0.453476i
$870$	1.48854	−	8.44190i	0.0504661	−	0.286207i
$871$	−6.25989	−	2.27841i	−0.212108	−	0.0772011i
$872$	6.50984	−	5.46240i	0.220451	−	0.184980i
$873$	7.37914	−	6.19183i	0.249746	−	0.209562i
$874$	−1.67304	+	2.89779i	−0.0565914	+	0.0980192i
$875$	−2.00129	+	0.728410i	−0.0676560	+	0.0246248i
$876$	1.93249	+	10.9597i	0.0652927	+	0.370293i
$877$	14.2030	+	24.6003i	0.479601	+	0.830694i	0.999726	−	0.0233963i	$-0.00744795\pi$
$877$	14.2030	+	24.6003i	0.479601	+	0.830694i	−0.520125	+	0.854090i	$0.674115\pi$
$878$	18.6584	−	32.3172i	0.629689	−	1.09065i
$879$	26.4292	+	9.61945i	0.891435	+	0.324456i
$880$	1.53109	+	2.65192i	0.0516129	+	0.0893962i
$881$	−21.2557	−	17.8356i	−0.716121	−	0.600897i	0.210188	−	0.977661i	$-0.432592\pi$
$881$	−21.2557	−	17.8356i	−0.716121	−	0.600897i	−0.926309	+	0.376764i	$0.877037\pi$
$882$	−5.29029			−0.178133
$883$	36.4917	+	30.6202i	1.22804	+	1.03045i	0.998364	+	0.0571854i	$0.0182126\pi$
$883$	36.4917	+	30.6202i	1.22804	+	1.03045i	0.229681	+	0.973266i	$0.426232\pi$
$884$	23.8730	−	8.68906i	0.802936	−	0.292245i
$885$	−1.80013	+	10.2090i	−0.0605107	+	0.343173i
$886$	0.540716	+	3.06655i	0.0181657	+	0.103023i
$887$	47.2985			1.58813			0.794064	−	0.607834i	$-0.207961\pi$
$887$	47.2985			1.58813			0.794064	+	0.607834i	$0.207961\pi$
$888$	−4.19339	−	3.73944i	−0.140721	−	0.125487i
$889$	−5.80749			−0.194777
$890$	1.17588	+	6.66875i	0.0394156	+	0.223537i
$891$	−1.08967	+	6.17981i	−0.0365052	+	0.207031i
$892$	−20.2484	+	7.36983i	−0.677968	+	0.246760i
$893$	21.2588	+	17.8382i	0.711398	+	0.596934i
$894$	−9.53831			−0.319009
$895$	−3.12567	−	2.62275i	−0.104480	−	0.0876688i
$896$	1.06486	+	1.84440i	0.0355746	+	0.0616171i
$897$	−2.93904	−	1.06972i	−0.0981318	−	0.0357171i
$898$	−4.78233	+	8.28325i	−0.159589	+	0.276415i
$899$	−49.5702	−	85.8581i	−1.65326	−	2.86353i
$900$	−0.372790	−	2.11420i	−0.0124263	−	0.0704733i
$901$	−75.3227	+	27.4152i	−2.50936	+	0.913334i
$902$	12.6070	−	21.8360i	0.419767	−	0.727058i
$903$	7.56339	−	6.34644i	0.251694	−	0.211196i
$904$	−4.39447	+	3.68740i	−0.146158	+	0.122641i
$905$	14.6953	+	5.34864i	0.488487	+	0.177795i
$906$	−0.244489	+	1.38656i	−0.00812259	+	0.0460655i
$907$	−4.90615	+	27.8242i	−0.162906	+	0.923887i	0.788291	+	0.615303i	$0.210966\pi$
$907$	−4.90615	+	27.8242i	−0.162906	+	0.923887i	−0.951197	+	0.308584i	$0.900145\pi$
$908$	9.56465	+	3.48125i	0.317414	+	0.115529i
$909$	−32.6446	+	27.3921i	−1.08275	+	0.908537i
$910$	6.32392	−	5.30640i	0.209636	−	0.175905i
$911$	−8.49708	+	14.7174i	−0.281521	+	0.487608i	−0.971759	−	0.235973i	$-0.924172\pi$
$911$	−8.49708	+	14.7174i	−0.281521	+	0.487608i	0.690239	+	0.723582i	$0.257505\pi$
$912$	−3.32471	+	1.21010i	−0.110092	+	0.0400703i
$913$	−6.81115	−	38.6280i	−0.225416	−	1.27840i
$914$	7.30818	+	12.6581i	0.241733	+	0.418694i
$915$	−5.88490	+	10.1929i	−0.194549	+	0.336968i
$916$	−3.25788	−	1.18577i	−0.107643	−	0.0391789i
$917$	−16.4154	−	28.4323i	−0.542083	−	0.938916i
$918$	23.8686	+	20.0282i	0.787782	+	0.661028i
$919$	33.4878			1.10466			0.552331	−	0.833625i	$-0.313739\pi$
$919$	33.4878			1.10466			0.552331	+	0.833625i	$0.313739\pi$
$920$	0.669181	+	0.561510i	0.0220623	+	0.0185124i
$921$	4.88069	−	1.77643i	0.160824	−	0.0585353i
$922$	2.46835	−	13.9987i	0.0812906	−	0.461022i
$923$	−0.210971	−	1.19648i	−0.00694420	−	0.0393825i
$924$	−6.02388			−0.198171
$925$	4.77524	−	3.76790i	0.157009	−	0.123888i
$926$	−2.65766			−0.0873363
$927$	−2.28144	−	12.9387i	−0.0749324	−	0.424963i
$928$	1.61153	−	9.13941i	0.0529009	−	0.300016i
$929$	16.8108	−	6.11864i	0.551545	−	0.200746i	−0.0511878	−	0.998689i	$-0.516301\pi$
$929$	16.8108	−	6.11864i	0.551545	−	0.200746i	0.602733	+	0.797943i	$0.294078\pi$
$930$	7.55892	+	6.34269i	0.247867	+	0.207985i
$931$	−9.43913			−0.309355
$932$	15.8881	+	13.3317i	0.520434	+	0.436696i
$933$	1.95570	+	3.38737i	0.0640267	+	0.110898i
$934$	20.7621	+	7.55679i	0.679357	+	0.247266i
$935$	10.0349	−	17.3810i	0.328176	−	0.568418i
$936$	4.16076	+	7.20664i	0.135999	+	0.235556i
$937$	−3.53242	−	20.0334i	−0.115399	−	0.654462i	−0.986552	−	0.163449i	$-0.947738\pi$
$937$	−3.53242	−	20.0334i	−0.115399	−	0.654462i	0.871152	−	0.491013i	$-0.163373\pi$
$938$	−3.43940	+	1.25184i	−0.112300	+	0.0408740i
$939$	−8.71728	+	15.0988i	−0.284478	+	0.492730i
$940$	5.54999	−	4.65699i	0.181021	−	0.151894i
$941$	21.7559	−	18.2554i	0.709222	−	0.595108i	−0.215158	−	0.976579i	$-0.569027\pi$
$941$	21.7559	−	18.2554i	0.709222	−	0.595108i	0.924381	+	0.381471i	$0.124582\pi$
$942$	3.95647	+	1.44004i	0.128909	+	0.0469189i
$943$	1.24903	−	7.08359i	0.0406739	−	0.230673i
$944$	−1.94886	+	11.0526i	−0.0634302	+	0.359730i
$945$	9.51417	+	3.46287i	0.309496	+	0.112647i
$946$	11.7733	−	9.87901i	0.382784	−	0.321194i
$947$	2.00346	−	1.68111i	0.0651038	−	0.0546286i	−0.609655	−	0.792667i	$-0.708692\pi$
$947$	2.00346	−	1.68111i	0.0651038	−	0.0546286i	0.674759	+	0.738038i	$0.264248\pi$
$948$	−2.04727	+	3.54597i	−0.0664922	+	0.115168i
$949$	43.8852	−	15.9729i	1.42457	−	0.518502i
$950$	−0.665145	−	3.77223i	−0.0215802	−	0.122387i
$951$	−12.1185	−	20.9898i	−0.392969	−	0.680642i
$952$	6.97923	−	12.0884i	0.226198	−	0.391787i
$953$	30.7072	+	11.1765i	0.994702	+	0.362042i	0.787539	−	0.616264i	$-0.211355\pi$
$953$	30.7072	+	11.1765i	0.994702	+	0.362042i	0.207163	+	0.978306i	$0.433577\pi$
$954$	−13.1278	−	22.7380i	−0.425028	−	0.736169i
$955$	11.9503	+	10.0275i	0.386702	+	0.324482i
$956$	4.44751			0.143843
$957$	20.1082	+	16.8728i	0.650005	+	0.545419i
$958$	−34.5118	+	12.5613i	−1.11503	+	0.405836i
$959$	0.0145665	−	0.0826107i	0.000470377	−	0.00266764i
$960$	0.160396	+	0.909649i	0.00517675	+	0.0293588i
$961$	83.1214			2.68134
$962$	−12.3983	+	20.0551i	−0.399738	+	0.646603i
$963$	−37.1218			−1.19623
$964$	−0.625751	−	3.54881i	−0.0201541	−	0.114299i
$965$	1.47568	−	8.36902i	0.0475040	−	0.269408i
$966$	−1.61481	+	0.587744i	−0.0519558	+	0.0189103i
$967$	−32.4982	−	27.2692i	−1.04507	−	0.876919i	−0.0525042	−	0.998621i	$-0.516720\pi$
$967$	−32.4982	−	27.2692i	−1.04507	−	0.876919i	−0.992567	+	0.121702i	$0.961165\pi$
$968$	1.62309			0.0521681
$969$	17.7638	+	14.9056i	0.570655	+	0.478837i
$970$	−2.24351	−	3.88587i	−0.0720347	−	0.124768i
$971$	−28.5468	−	10.3902i	−0.916109	−	0.333436i	−0.159419	−	0.987211i	$-0.550962\pi$
$971$	−28.5468	−	10.3902i	−0.916109	−	0.333436i	−0.756689	+	0.653775i	$0.773184\pi$
$972$	−8.07745	+	13.9905i	−0.259084	+	0.448747i
$973$	−11.0601	−	19.1567i	−0.354571	−	0.614134i
$974$	−4.25507	−	24.1317i	−0.136341	−	0.773230i
$975$	3.36447	−	1.22457i	0.107749	−	0.0392175i
$976$	−6.37114	+	11.0351i	−0.203935	+	0.353226i
$977$	−11.6118	+	9.74342i	−0.371493	+	0.311720i	−0.809352	−	0.587324i	$-0.800181\pi$
$977$	−11.6118	+	9.74342i	−0.371493	+	0.311720i	0.437859	+	0.899044i	$0.355737\pi$
$978$	8.54243	−	7.16795i	0.273157	−	0.229206i
$979$	−19.4854	−	7.09209i	−0.622755	−	0.226664i
$980$	−0.427913	+	2.42682i	−0.0136692	+	0.0775218i
$981$	3.16797	−	17.9664i	0.101145	−	0.573624i
$982$	−7.00489	−	2.54957i	−0.223535	−	0.0813601i
$983$	−35.9651	+	30.1783i	−1.14711	+	0.962537i	−0.999648	−	0.0265310i	$-0.991554\pi$
$983$	−35.9651	+	30.1783i	−1.14711	+	0.962537i	−0.147459	+	0.989068i	$0.547109\pi$
$984$	5.82624	−	4.88879i	0.185734	−	0.155849i
$985$	−3.98409	+	6.90064i	−0.126944	+	0.219873i
$986$	−57.1565	+	20.8033i	−1.82023	+	0.662511i
$987$	2.47489	+	14.0358i	0.0787765	+	0.446763i
$988$	7.42377	+	12.8583i	0.236182	+	0.409078i
$989$	2.19218	−	3.79696i	0.0697072	−	0.120736i
$990$	6.17746	+	2.24841i	0.196333	+	0.0714592i
$991$	16.3363	+	28.2952i	0.518938	+	0.898827i	0.999758	+	0.0220078i	$0.00700586\pi$
$991$	16.3363	+	28.2952i	0.518938	+	0.898827i	−0.480820	+	0.876820i	$0.659661\pi$
$992$	8.18347	+	6.86675i	0.259825	+	0.218019i
$993$	6.27112			0.199008
$994$	−0.511356	−	0.429078i	−0.0162192	−	0.0136095i
$995$	11.2959	−	4.11138i	0.358105	−	0.130339i
$996$	2.05453	−	11.6518i	0.0651004	−	0.369202i
$997$	3.00057	+	17.0171i	0.0950289	+	0.538936i	0.994738	+	0.102447i	$0.0326671\pi$
$997$	3.00057	+	17.0171i	0.0950289	+	0.538936i	−0.899710	+	0.436489i	$0.856222\pi$
$998$	22.2680			0.704881
$999$	−28.9044	−	0.870425i	−0.914496	−	0.0275390i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.o.c.231.3	yes	24
37.33	even	9	inner	370.2.o.c.181.3	✓	24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.o.c.181.3	✓	24	37.33	even	9	inner
370.2.o.c.231.3	yes	24	1.1	even	1	trivial

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 370 = 2 \cdot 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	370.o (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.173648 - 0.984808i) q^{2} +(0.160396 - 0.909649i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(0.766044 + 0.642788i) q^{5} -0.923681 q^{6} +(1.63147 + 1.36896i) q^{7} +(0.500000 + 0.866025i) q^{8} +(2.01734 + 0.734253i) q^{9} +O(q^{10})\)	\(q+(-0.173648 - 0.984808i) q^{2} +(0.160396 - 0.909649i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(0.766044 + 0.642788i) q^{5} -0.923681 q^{6} +(1.63147 + 1.36896i) q^{7} +(0.500000 + 0.866025i) q^{8} +(2.01734 + 0.734253i) q^{9} +(0.500000 - 0.866025i) q^{10} +(1.53109 + 2.65192i) q^{11} +(0.160396 + 0.909649i) q^{12} +(3.64245 - 1.32574i) q^{13} +(1.06486 - 1.84440i) q^{14} +(0.707581 - 0.593731i) q^{15} +(0.766044 - 0.642788i) q^{16} +(-6.15884 - 2.24163i) q^{17} +(0.372790 - 2.11420i) q^{18} +(0.665145 - 3.77223i) q^{19} +(-0.939693 - 0.342020i) q^{20} +(1.50696 - 1.26449i) q^{21} +(2.34576 - 1.96833i) q^{22} +(0.436777 - 0.756520i) q^{23} +(0.867977 - 0.315918i) q^{24} +(0.173648 + 0.984808i) q^{25} +(-1.93811 - 3.35690i) q^{26} +(2.37701 - 4.11710i) q^{27} +(-2.00129 - 0.728410i) q^{28} +(4.64020 + 8.03706i) q^{29} +(-0.707581 - 0.593731i) q^{30} -10.6828 q^{31} +(-0.766044 - 0.642788i) q^{32} +(2.65790 - 0.967395i) q^{33} +(-1.13811 + 6.45453i) q^{34} +(0.369824 + 2.09737i) q^{35} -2.14681 q^{36} +(-2.88144 - 5.35699i) q^{37} -3.83042 q^{38} +(-0.621728 - 3.52600i) q^{39} +(-0.173648 + 0.984808i) q^{40} +(7.73745 - 2.81620i) q^{41} +(-1.50696 - 1.26449i) q^{42} +5.01898 q^{43} +(-2.34576 - 1.96833i) q^{44} +(1.07341 + 1.85919i) q^{45} +(-0.820873 - 0.298773i) q^{46} +(-3.62250 + 6.27435i) q^{47} +(-0.461841 - 0.799932i) q^{48} +(-0.427913 - 2.42682i) q^{49} +(0.939693 - 0.342020i) q^{50} +(-3.02695 + 5.24283i) q^{51} +(-2.96935 + 2.49158i) q^{52} +(9.36874 - 7.86131i) q^{53} +(-4.46731 - 1.62597i) q^{54} +(-0.531741 + 3.01565i) q^{55} +(-0.369824 + 2.09737i) q^{56} +(-3.32471 - 1.21010i) q^{57} +(7.10920 - 5.96533i) q^{58} +(-8.59737 + 7.21405i) q^{59} +(-0.461841 + 0.799932i) q^{60} +(-11.9738 + 4.35811i) q^{61} +(1.85504 + 10.5205i) q^{62} +(2.28606 + 3.95958i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(3.64245 + 1.32574i) q^{65} +(-1.41424 - 2.44953i) q^{66} +(-1.31652 - 1.10469i) q^{67} +6.55410 q^{68} +(-0.618110 - 0.518656i) q^{69} +(2.00129 - 0.728410i) q^{70} +(0.0544271 - 0.308671i) q^{71} +(0.372790 + 2.11420i) q^{72} +12.0483 q^{73} +(-4.77524 + 3.76790i) q^{74} +0.923681 q^{75} +(0.665145 + 3.77223i) q^{76} +(-1.13246 + 6.42252i) q^{77} +(-3.36447 + 1.22457i) q^{78} +(3.39576 + 2.84938i) q^{79} +1.00000 q^{80} +(1.56981 + 1.31723i) q^{81} +(-4.11701 - 7.13087i) q^{82} +(-12.0367 - 4.38099i) q^{83} +(-0.983596 + 1.70364i) q^{84} +(-3.27705 - 5.67602i) q^{85} +(-0.871537 - 4.94273i) q^{86} +(8.05517 - 2.93184i) q^{87} +(-1.53109 + 2.65192i) q^{88} +(-5.18736 + 4.35272i) q^{89} +(1.64455 - 1.37994i) q^{90} +(7.75744 + 2.82348i) q^{91} +(-0.151691 + 0.860283i) q^{92} +(-1.71347 + 9.71756i) q^{93} +(6.80807 + 2.47794i) q^{94} +(2.93427 - 2.46215i) q^{95} +(-0.707581 + 0.593731i) q^{96} +(2.24351 - 3.88587i) q^{97} +(-2.31564 + 0.842825i) q^{98} +(1.14155 + 6.47404i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q - 6 q^{6} - 3 q^{7} + 12 q^{8} + 12 q^{9}+O(q^{10}) \) 24 * q - 6 * q^6 - 3 * q^7 + 12 * q^8 + 12 * q^9	\( 24 q - 6 q^{6} - 3 q^{7} + 12 q^{8} + 12 q^{9} + 12 q^{10} - 15 q^{11} + 3 q^{14} - 6 q^{17} + 6 q^{18} - 6 q^{19} + 36 q^{21} + 9 q^{22} + 21 q^{23} - 6 q^{26} - 12 q^{27} - 3 q^{28} + 12 q^{29} + 30 q^{31} - 39 q^{33} - 21 q^{34} + 6 q^{35} + 54 q^{36} - 12 q^{37} - 36 q^{38} - 18 q^{39} + 27 q^{41} - 36 q^{42} - 24 q^{43} - 9 q^{44} - 27 q^{45} + 3 q^{46} - 6 q^{47} - 3 q^{48} - 27 q^{49} - 6 q^{51} - 9 q^{52} + 6 q^{53} + 9 q^{54} + 9 q^{55} - 6 q^{56} - 27 q^{57} + 27 q^{58} + 51 q^{59} - 3 q^{60} - 3 q^{62} - 27 q^{63} - 12 q^{64} + 15 q^{66} - 18 q^{69} + 3 q^{70} - 66 q^{71} + 6 q^{72} + 42 q^{73} - 42 q^{74} + 6 q^{75} - 6 q^{76} + 69 q^{77} + 36 q^{78} - 30 q^{79} + 24 q^{80} - 90 q^{81} + 24 q^{82} + 57 q^{83} + 6 q^{84} - 6 q^{86} + 6 q^{87} + 15 q^{88} - 57 q^{89} + 6 q^{90} + 3 q^{91} + 15 q^{92} - 72 q^{93} + 3 q^{94} - 15 q^{95} - 3 q^{97} - 72 q^{98} + 63 q^{99}+O(q^{100}) \) 24 * q - 6 * q^6 - 3 * q^7 + 12 * q^8 + 12 * q^9 + 12 * q^10 - 15 * q^11 + 3 * q^14 - 6 * q^17 + 6 * q^18 - 6 * q^19 + 36 * q^21 + 9 * q^22 + 21 * q^23 - 6 * q^26 - 12 * q^27 - 3 * q^28 + 12 * q^29 + 30 * q^31 - 39 * q^33 - 21 * q^34 + 6 * q^35 + 54 * q^36 - 12 * q^37 - 36 * q^38 - 18 * q^39 + 27 * q^41 - 36 * q^42 - 24 * q^43 - 9 * q^44 - 27 * q^45 + 3 * q^46 - 6 * q^47 - 3 * q^48 - 27 * q^49 - 6 * q^51 - 9 * q^52 + 6 * q^53 + 9 * q^54 + 9 * q^55 - 6 * q^56 - 27 * q^57 + 27 * q^58 + 51 * q^59 - 3 * q^60 - 3 * q^62 - 27 * q^63 - 12 * q^64 + 15 * q^66 - 18 * q^69 + 3 * q^70 - 66 * q^71 + 6 * q^72 + 42 * q^73 - 42 * q^74 + 6 * q^75 - 6 * q^76 + 69 * q^77 + 36 * q^78 - 30 * q^79 + 24 * q^80 - 90 * q^81 + 24 * q^82 + 57 * q^83 + 6 * q^84 - 6 * q^86 + 6 * q^87 + 15 * q^88 - 57 * q^89 + 6 * q^90 + 3 * q^91 + 15 * q^92 - 72 * q^93 + 3 * q^94 - 15 * q^95 - 3 * q^97 - 72 * q^98 + 63 * q^99

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