LMFDB - Embedded newform 370.2.o.d.71.4

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			71.4
Character	$\chi$	$=$	370.71
Dual form			370.2.o.d.271.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.766044 + 0.642788i) q^{2} +(2.61128 - 2.19112i) q^{3} +(0.173648 + 0.984808i) q^{4} +(0.939693 + 0.342020i) q^{5} +3.40878 q^{6} +(-2.86925 - 1.04432i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(1.49681 - 8.48886i) q^{9} +O(q^{10})$	\(q+(0.766044 + 0.642788i) q^{2} +(2.61128 - 2.19112i) q^{3} +(0.173648 + 0.984808i) q^{4} +(0.939693 + 0.342020i) q^{5} +3.40878 q^{6} +(-2.86925 - 1.04432i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(1.49681 - 8.48886i) q^{9} +(0.500000 + 0.866025i) q^{10} +(-0.334279 + 0.578988i) q^{11} +(2.61128 + 2.19112i) q^{12} +(0.343692 + 1.94918i) q^{13} +(-1.52670 - 2.64431i) q^{14} +(3.20321 - 1.16587i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(-0.441221 + 2.50229i) q^{17} +(6.60316 - 5.54071i) q^{18} +(-2.35303 + 1.97442i) q^{19} +(-0.173648 + 0.984808i) q^{20} +(-9.78065 + 3.55986i) q^{21} +(-0.628239 + 0.228660i) q^{22} +(3.51247 + 6.08377i) q^{23} +(0.591929 + 3.35700i) q^{24} +(0.766044 + 0.642788i) q^{25} +(-0.989622 + 1.71408i) q^{26} +(-9.57836 - 16.5902i) q^{27} +(0.530216 - 3.00700i) q^{28} +(-3.08429 + 5.34215i) q^{29} +(3.20321 + 1.16587i) q^{30} +4.00333 q^{31} +(-0.939693 - 0.342020i) q^{32} +(0.395739 + 2.24435i) q^{33} +(-1.94644 + 1.63325i) q^{34} +(-2.33903 - 1.96268i) q^{35} +8.61981 q^{36} +(3.70455 - 4.82455i) q^{37} -3.07166 q^{38} +(5.16836 + 4.33677i) q^{39} +(-0.766044 + 0.642788i) q^{40} +(-0.522141 - 2.96121i) q^{41} +(-9.78065 - 3.55986i) q^{42} -9.29050 q^{43} +(-0.628239 - 0.228660i) q^{44} +(4.30991 - 7.46497i) q^{45} +(-1.21987 + 6.91821i) q^{46} +(-2.65123 - 4.59207i) q^{47} +(-1.70439 + 2.95209i) q^{48} +(1.77967 + 1.49332i) q^{49} +(0.173648 + 0.984808i) q^{50} +(4.33068 + 7.50095i) q^{51} +(-1.85988 + 0.676942i) q^{52} +(13.3330 - 4.85281i) q^{53} +(3.32653 - 18.8657i) q^{54} +(-0.512145 + 0.429741i) q^{55} +(2.33903 - 1.96268i) q^{56} +(-1.81820 + 10.3115i) q^{57} +(-5.79657 + 2.10978i) q^{58} +(-4.36890 + 1.59015i) q^{59} +(1.70439 + 2.95209i) q^{60} +(1.96827 + 11.1626i) q^{61} +(3.06673 + 2.57329i) q^{62} +(-13.1598 + 22.7935i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-0.343692 + 1.94918i) q^{65} +(-1.13948 + 1.97365i) q^{66} +(-4.94452 - 1.79966i) q^{67} -2.54089 q^{68} +(22.5023 + 8.19018i) q^{69} +(-0.530216 - 3.00700i) q^{70} +(-2.12376 + 1.78205i) q^{71} +(6.60316 + 5.54071i) q^{72} +8.43431 q^{73} +(5.93901 - 1.31458i) q^{74} +3.40878 q^{75} +(-2.35303 - 1.97442i) q^{76} +(1.56378 - 1.31217i) q^{77} +(1.17157 + 6.64432i) q^{78} +(-12.2664 - 4.46460i) q^{79} -1.00000 q^{80} +(-37.0631 - 13.4899i) q^{81} +(1.50345 - 2.60404i) q^{82} +(3.14014 - 17.8086i) q^{83} +(-5.20417 - 9.01389i) q^{84} +(-1.27045 + 2.20048i) q^{85} +(-7.11694 - 5.97182i) q^{86} +(3.65136 + 20.7079i) q^{87} +(-0.334279 - 0.578988i) q^{88} +(-3.15800 + 1.14942i) q^{89} +(8.09997 - 2.94815i) q^{90} +(1.04943 - 5.95159i) q^{91} +(-5.38141 + 4.51554i) q^{92} +(10.4538 - 8.77180i) q^{93} +(0.920763 - 5.22190i) q^{94} +(-2.88641 + 1.05057i) q^{95} +(-3.20321 + 1.16587i) q^{96} +(-0.608978 - 1.05478i) q^{97} +(0.403418 + 2.28790i) q^{98} +(4.41459 + 3.70428i) 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}) $ 24 * q + 6 * q^6 - 9 * q^7 - 12 * q^8 + 12 * q^9	$ 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}) $ 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

Display 100 coefficients 10 coefficients

Character values

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

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

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 $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \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
$2$	0.766044	+	0.642788i	0.541675	+	0.454519i
$3$	2.61128	−	2.19112i	1.50762	−	1.26505i	0.639398	−	0.768876i	$-0.279184\pi$
$3$	2.61128	−	2.19112i	1.50762	−	1.26505i	0.868225	−	0.496170i	$-0.165261\pi$
$4$	0.173648	+	0.984808i	0.0868241	+	0.492404i
$5$	0.939693	+	0.342020i	0.420243	+	0.152956i
$5$	0.939693	+	0.342020i	0.420243	+	0.152956i
$6$	3.40878			1.39163
$7$	−2.86925	−	1.04432i	−1.08447	−	0.394716i	−0.262903	−	0.964822i	$-0.584680\pi$
$7$	−2.86925	−	1.04432i	−1.08447	−	0.394716i	−0.821571	+	0.570106i	$0.806902\pi$
$8$	−0.500000	+	0.866025i	−0.176777	+	0.306186i
$9$	1.49681	−	8.48886i	0.498938	−	2.82962i
$10$	0.500000	+	0.866025i	0.158114	+	0.273861i
$11$	−0.334279	+	0.578988i	−0.100789	+	0.174571i	−0.912010	−	0.410168i	$-0.865470\pi$
$11$	−0.334279	+	0.578988i	−0.100789	+	0.174571i	0.811221	+	0.584740i	$0.198803\pi$
$12$	2.61128	+	2.19112i	0.753812	+	0.632523i
$13$	0.343692	+	1.94918i	0.0953231	+	0.540604i	0.994648	+	0.103323i	$0.0329475\pi$
$13$	0.343692	+	1.94918i	0.0953231	+	0.540604i	−0.899325	+	0.437281i	$0.855941\pi$
$14$	−1.52670	−	2.64431i	−0.408026	−	0.706722i
$15$	3.20321	−	1.16587i	0.827065	−	0.301027i
$16$	−0.939693	+	0.342020i	−0.234923	+	0.0855050i
$17$	−0.441221	+	2.50229i	−0.107012	+	0.606894i	0.883386	+	0.468647i	$0.155258\pi$
$17$	−0.441221	+	2.50229i	−0.107012	+	0.606894i	−0.990398	+	0.138248i	$0.955853\pi$
$18$	6.60316	−	5.54071i	1.55638	−	1.30596i
$19$	−2.35303	+	1.97442i	−0.539821	+	0.452964i	−0.871477	−	0.490437i	$-0.836837\pi$
$19$	−2.35303	+	1.97442i	−0.539821	+	0.452964i	0.331656	+	0.943401i	$0.392393\pi$
$20$	−0.173648	+	0.984808i	−0.0388289	+	0.220210i
$21$	−9.78065	+	3.55986i	−2.13431	+	0.776826i
$22$	−0.628239	+	0.228660i	−0.133941	+	0.0487505i
$23$	3.51247	+	6.08377i	0.732400	+	1.26855i	0.955855	+	0.293840i	$0.0949333\pi$
$23$	3.51247	+	6.08377i	0.732400	+	1.26855i	−0.223454	+	0.974714i	$0.571733\pi$
$24$	0.591929	+	3.35700i	0.120827	+	0.685244i
$25$	0.766044	+	0.642788i	0.153209	+	0.128558i
$26$	−0.989622	+	1.71408i	−0.194081	+	0.336158i
$27$	−9.57836	−	16.5902i	−1.84336	−	3.19279i
$28$	0.530216	−	3.00700i	0.100201	−	0.568270i
$29$	−3.08429	+	5.34215i	−0.572738	+	0.992012i	0.423545	+	0.905875i	$0.360786\pi$
$29$	−3.08429	+	5.34215i	−0.572738	+	0.992012i	−0.996283	+	0.0861370i	$0.972548\pi$
$30$	3.20321	+	1.16587i	0.584823	+	0.212858i
$31$	4.00333			0.719020			0.359510	−	0.933141i	$-0.382944\pi$
$31$	4.00333			0.719020			0.359510	+	0.933141i	$0.382944\pi$
$32$	−0.939693	−	0.342020i	−0.166116	−	0.0604612i
$33$	0.395739	+	2.24435i	0.0688893	+	0.390691i
$34$	−1.94644	+	1.63325i	−0.333811	+	0.280101i
$35$	−2.33903	−	1.96268i	−0.395369	−	0.331754i
$36$	8.61981			1.43664
$37$	3.70455	−	4.82455i	0.609024	−	0.793152i
$37$	3.70455	−	4.82455i	0.609024	−	0.793152i
$38$	−3.07166			−0.498289
$39$	5.16836	+	4.33677i	0.827600	+	0.694439i
$40$	−0.766044	+	0.642788i	−0.121122	+	0.101634i
$41$	−0.522141	−	2.96121i	−0.0815447	−	0.462463i	−0.998049	−	0.0624379i	$-0.980112\pi$
$41$	−0.522141	−	2.96121i	−0.0815447	−	0.462463i	0.916504	−	0.400025i	$-0.130999\pi$
$42$	−9.78065	−	3.55986i	−1.50919	−	0.549299i
$43$	−9.29050			−1.41679			−0.708394	−	0.705817i	$-0.750580\pi$
$43$	−9.29050			−1.41679			−0.708394	+	0.705817i	$0.750580\pi$
$44$	−0.628239	−	0.228660i	−0.0947106	−	0.0344718i
$45$	4.30991	−	7.46497i	0.642483	−	1.11281i
$46$	−1.21987	+	6.91821i	−0.179860	+	1.02003i
$47$	−2.65123	−	4.59207i	−0.386722	−	0.669822i	0.605285	−	0.796009i	$-0.293059\pi$
$47$	−2.65123	−	4.59207i	−0.386722	−	0.669822i	−0.992006	+	0.126187i	$0.959726\pi$
$48$	−1.70439	+	2.95209i	−0.246008	+	0.426098i
$49$	1.77967	+	1.49332i	0.254238	+	0.213331i
$50$	0.173648	+	0.984808i	0.0245576	+	0.139273i
$51$	4.33068	+	7.50095i	0.606416	+	1.05034i
$52$	−1.85988	+	0.676942i	−0.257919	+	0.0938749i
$53$	13.3330	−	4.85281i	1.83143	−	0.666584i	0.838940	−	0.544224i	$-0.183176\pi$
$53$	13.3330	−	4.85281i	1.83143	−	0.666584i	0.992486	−	0.122360i	$-0.0390463\pi$
$54$	3.32653	−	18.8657i	0.452683	−	2.56729i
$55$	−0.512145	+	0.429741i	−0.0690576	+	0.0579462i
$56$	2.33903	−	1.96268i	0.312566	−	0.262274i
$57$	−1.81820	+	10.3115i	−0.240827	+	1.36580i
$58$	−5.79657	+	2.10978i	−0.761127	+	0.277028i
$59$	−4.36890	+	1.59015i	−0.568783	+	0.207020i	−0.610372	−	0.792115i	$-0.708980\pi$
$59$	−4.36890	+	1.59015i	−0.568783	+	0.207020i	0.0415894	+	0.999135i	$0.486758\pi$
$60$	1.70439	+	2.95209i	0.220036	+	0.381114i
$61$	1.96827	+	11.1626i	0.252011	+	1.42922i	0.803631	+	0.595128i	$0.202899\pi$
$61$	1.96827	+	11.1626i	0.252011	+	1.42922i	−0.551621	+	0.834095i	$0.685990\pi$
$62$	3.06673	+	2.57329i	0.389475	+	0.326809i
$63$	−13.1598	+	22.7935i	−1.65798	+	2.87171i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	−0.343692	+	1.94918i	−0.0426298	+	0.241765i
$66$	−1.13948	+	1.97365i	−0.140261	+	0.242939i
$67$	−4.94452	−	1.79966i	−0.604069	−	0.219863i	0.0218369	−	0.999762i	$-0.493049\pi$
$67$	−4.94452	−	1.79966i	−0.604069	−	0.219863i	−0.625906	+	0.779898i	$0.715271\pi$
$68$	−2.54089			−0.308128
$69$	22.5023	+	8.19018i	2.70896	+	0.985982i
$70$	−0.530216	−	3.00700i	−0.0633729	−	0.359405i
$71$	−2.12376	+	1.78205i	−0.252044	+	0.211490i	−0.760052	−	0.649862i	$-0.774826\pi$
$71$	−2.12376	+	1.78205i	−0.252044	+	0.211490i	0.508008	+	0.861352i	$0.330382\pi$
$72$	6.60316	+	5.54071i	0.778190	+	0.652979i
$73$	8.43431			0.987161			0.493580	−	0.869700i	$-0.335688\pi$
$73$	8.43431			0.987161			0.493580	+	0.869700i	$0.335688\pi$
$74$	5.93901	−	1.31458i	0.690396	−	0.152817i
$75$	3.40878			0.393613
$76$	−2.35303	−	1.97442i	−0.269911	−	0.226482i
$77$	1.56378	−	1.31217i	0.178209	−	0.149535i
$78$	1.17157	+	6.64432i	0.132654	+	0.752321i
$79$	−12.2664	−	4.46460i	−1.38008	−	0.502307i	−0.457875	−	0.889017i	$-0.651389\pi$
$79$	−12.2664	−	4.46460i	−1.38008	−	0.502307i	−0.922202	+	0.386710i	$0.873612\pi$
$80$	−1.00000			−0.111803
$81$	−37.0631	−	13.4899i	−4.11812	−	1.49887i
$82$	1.50345	−	2.60404i	0.166028	−	0.287569i
$83$	3.14014	−	17.8086i	0.344675	−	1.95475i	0.0515661	−	0.998670i	$-0.483579\pi$
$83$	3.14014	−	17.8086i	0.344675	−	1.95475i	0.293109	−	0.956079i	$-0.405310\pi$
$84$	−5.20417	−	9.01389i	−0.567822	−	0.983496i
$85$	−1.27045	+	2.20048i	−0.137799	+	0.238675i
$86$	−7.11694	−	5.97182i	−0.767439	−	0.643958i
$87$	3.65136	+	20.7079i	0.391467	+	2.22012i
$88$	−0.334279	−	0.578988i	−0.0356343	−	0.0617203i
$89$	−3.15800	+	1.14942i	−0.334747	+	0.121838i	−0.503925	−	0.863748i	$-0.668111\pi$
$89$	−3.15800	+	1.14942i	−0.334747	+	0.121838i	0.169177	+	0.985586i	$0.445889\pi$
$90$	8.09997	−	2.94815i	0.853812	−	0.310762i
$91$	1.04943	−	5.95159i	0.110010	−	0.623896i
$92$	−5.38141	+	4.51554i	−0.561051	+	0.470778i
$93$	10.4538	−	8.77180i	1.08401	−	0.909593i
$94$	0.920763	−	5.22190i	0.0949694	−	0.538598i
$95$	−2.88641	+	1.05057i	−0.296140	+	0.107786i
$96$	−3.20321	+	1.16587i	−0.326926	+	0.118991i
$97$	−0.608978	−	1.05478i	−0.0618324	−	0.107097i	0.833452	−	0.552592i	$-0.186361\pi$
$97$	−0.608978	−	1.05478i	−0.0618324	−	0.107097i	−0.895284	+	0.445495i	$0.853028\pi$
$98$	0.403418	+	2.28790i	0.0407514	+	0.231112i
$99$	4.41459	+	3.70428i	0.443683	+	0.372294i
$100$	−0.500000	+	0.866025i	−0.0500000	+	0.0866025i
$101$	−3.77601	−	6.54024i	−0.375727	−	0.650778i	0.614709	−	0.788754i	$-0.289274\pi$
$101$	−3.77601	−	6.54024i	−0.375727	−	0.650778i	−0.990436	+	0.137976i	$0.955940\pi$
$102$	−1.50403	+	8.52977i	−0.148921	+	0.844573i
$103$	0.572116	−	0.990934i	0.0563723	−	0.0976396i	−0.836462	−	0.548025i	$-0.815380\pi$
$103$	0.572116	−	0.990934i	0.0563723	−	0.0976396i	0.892834	+	0.450385i	$0.148713\pi$
$104$	−1.85988	−	0.676942i	−0.182376	−	0.0663796i
$105$	−10.4083			−1.01575
$106$	13.3330	+	4.85281i	1.29501	+	0.471346i
$107$	1.23462	+	7.00187i	0.119355	+	0.676896i	0.984501	+	0.175377i	$0.0561144\pi$
$107$	1.23462	+	7.00187i	0.119355	+	0.676896i	−0.865146	+	0.501520i	$0.832775\pi$
$108$	14.6749	−	12.3137i	1.41209	−	1.18489i
$109$	−5.42719	−	4.55395i	−0.519830	−	0.436189i	0.344742	−	0.938697i	$-0.387966\pi$
$109$	−5.42719	−	4.55395i	−0.519830	−	0.436189i	−0.864572	+	0.502508i	$0.832411\pi$
$110$	−0.668558			−0.0637445
$111$	−0.897582	−	20.7154i	−0.0851947	−	1.96622i
$112$	3.05339			0.288518
$113$	−6.88045	−	5.77338i	−0.647258	−	0.543114i	0.258979	−	0.965883i	$-0.416614\pi$
$113$	−6.88045	−	5.77338i	−0.647258	−	0.543114i	−0.906238	+	0.422769i	$0.861058\pi$
$114$	−8.02096	+	6.73038i	−0.751232	+	0.630358i
$115$	1.21987	+	6.91821i	0.113753	+	0.645127i
$116$	−5.79657	−	2.10978i	−0.538198	−	0.195888i
$117$	17.0607			1.57726
$118$	−4.36890	−	1.59015i	−0.402190	−	0.146385i
$119$	3.87917	−	6.71891i	0.355603	−	0.615922i
$120$	−0.591929	+	3.35700i	−0.0540355	+	0.306451i
$121$	5.27652	+	9.13919i	0.479683	+	0.830836i
$122$	−5.66739	+	9.81622i	−0.513102	+	0.888718i
$123$	−7.85183	−	6.58847i	−0.707976	−	0.594062i
$124$	0.695172	+	3.94251i	0.0624282	+	0.354048i
$125$	0.500000	+	0.866025i	0.0447214	+	0.0774597i
$126$	−24.7324	+	9.00185i	−2.20333	+	0.801948i
$127$	10.8092	−	3.93423i	0.959162	−	0.349106i	0.185457	−	0.982652i	$-0.440623\pi$
$127$	10.8092	−	3.93423i	0.959162	−	0.349106i	0.773705	+	0.633546i	$0.218401\pi$
$128$	0.173648	−	0.984808i	0.0153485	−	0.0870455i
$129$	−24.2601	+	20.3566i	−2.13598	+	1.79230i
$130$	−1.51619	+	1.27223i	−0.132979	+	0.111582i
$131$	3.69308	−	20.9445i	0.322666	−	1.82993i	−0.202926	−	0.979194i	$-0.565045\pi$
$131$	3.69308	−	20.9445i	0.322666	−	1.82993i	0.525592	−	0.850736i	$-0.323844\pi$
$132$	−2.14153	+	0.779454i	−0.186396	+	0.0678427i
$133$	8.81335	−	3.20780i	0.764214	−	0.278151i
$134$	−2.63092	−	4.55689i	−0.227277	−	0.393656i
$135$	−3.32653	−	18.8657i	−0.286302	−	1.62370i
$136$	−1.94644	−	1.63325i	−0.166906	−	0.140050i
$137$	−0.282819	+	0.489857i	−0.0241629	+	0.0418513i	−0.877854	−	0.478928i	$-0.841025\pi$
$137$	−0.282819	+	0.489857i	−0.0241629	+	0.0418513i	0.853691	+	0.520780i	$0.174359\pi$
$138$	11.9732	+	20.7383i	1.01923	+	1.76536i
$139$	−1.80515	+	10.2375i	−0.153111	+	0.868336i	0.807381	+	0.590030i	$0.200884\pi$
$139$	−1.80515	+	10.2375i	−0.153111	+	0.868336i	−0.960492	+	0.278306i	$0.910227\pi$
$140$	1.52670	−	2.64431i	0.129029	−	0.223485i
$141$	−16.9849	−	6.18199i	−1.43039	−	0.520618i
$142$	−2.77237			−0.232652
$143$	−1.24344	−	0.452575i	−0.103982	−	0.0378462i
$144$	1.49681	+	8.48886i	0.124735	+	0.707405i
$145$	−4.72541	+	3.96509i	−0.392424	+	0.329283i
$146$	6.46105	+	5.42147i	0.534721	+	0.448684i
$147$	7.91926			0.653169
$148$	5.39455	+	2.81049i	0.443429	+	0.231021i
$149$	−6.01995			−0.493173			−0.246587	−	0.969121i	$-0.579309\pi$
$149$	−6.01995			−0.493173			−0.246587	+	0.969121i	$0.579309\pi$
$150$	2.61128	+	2.19112i	0.213210	+	0.178905i
$151$	−16.9798	+	14.2478i	−1.38180	+	1.15947i	−0.413258	+	0.910614i	$0.635609\pi$
$151$	−16.9798	+	14.2478i	−1.38180	+	1.15947i	−0.968541	+	0.248854i	$0.919946\pi$
$152$	−0.533388	−	3.02499i	−0.0432635	−	0.245359i
$153$	20.5812	+	7.49093i	1.66389	+	0.605606i
$154$	2.04137			0.164498
$155$	3.76190	+	1.36922i	0.302163	+	0.109978i
$156$	−3.37341	+	5.84292i	−0.270089	+	0.467808i
$157$	−3.97477	+	22.5420i	−0.317221	+	1.79905i	0.242266	+	0.970210i	$0.422109\pi$
$157$	−3.97477	+	22.5420i	−0.317221	+	1.79905i	−0.559487	+	0.828839i	$0.689002\pi$
$158$	−6.52681	−	11.3048i	−0.519245	−	0.899359i
$159$	24.1830	−	41.8863i	1.91784	−	3.32180i
$160$	−0.766044	−	0.642788i	−0.0605611	−	0.0508168i
$161$	−3.72473	−	21.1240i	−0.293550	−	1.66480i
$162$	−19.7208	−	34.1575i	−1.54942	−	2.68367i
$163$	7.08842	−	2.57997i	0.555208	−	0.202079i	−0.0491509	−	0.998791i	$-0.515652\pi$
$163$	7.08842	−	2.57997i	0.555208	−	0.202079i	0.604359	+	0.796712i	$0.293429\pi$
$164$	2.82555	−	1.02842i	0.220639	−	0.0803059i
$165$	−0.395739	+	2.24435i	−0.0308082	+	0.174722i
$166$	13.8526	−	11.6237i	1.07517	−	0.902177i
$167$	8.98194	−	7.53675i	0.695044	−	0.583211i	−0.225315	−	0.974286i	$-0.572341\pi$
$167$	8.98194	−	7.53675i	0.695044	−	0.583211i	0.920359	+	0.391075i	$0.127897\pi$
$168$	1.80739	−	10.2502i	0.139443	−	0.790822i
$169$	8.53484	−	3.10643i	0.656526	−	0.238956i
$170$	−2.38766	+	0.869036i	−0.183125	+	0.0666520i
$171$	13.2386	+	22.9298i	1.01238	+	1.75349i
$172$	−1.61328	−	9.14936i	−0.123011	−	0.697632i
$173$	12.9548	+	10.8704i	0.984936	+	0.826460i	0.984827	−	0.173540i	$-0.0555207\pi$
$173$	12.9548	+	10.8704i	0.984936	+	0.826460i	0.000109595		1.00000i	$0.499965\pi$
$174$	−10.5137	+	18.2102i	−0.797040	+	1.38051i
$175$	−1.52670	−	2.64431i	−0.115407	−	0.199891i
$176$	0.116094	−	0.658401i	0.00875090	−	0.0496288i
$177$	−7.92421	+	13.7251i	−0.595620	+	1.03164i
$178$	−3.15800	−	1.14942i	−0.236702	−	0.0861525i
$179$	0.733880			0.0548528			0.0274264	−	0.999624i	$-0.491269\pi$
$179$	0.733880			0.0548528			0.0274264	+	0.999624i	$0.491269\pi$
$180$	8.09997	+	2.94815i	0.603736	+	0.219742i
$181$	0.974156	+	5.52472i	0.0724085	+	0.410649i	0.999370	+	0.0354924i	$0.0112999\pi$
$181$	0.974156	+	5.52472i	0.0724085	+	0.410649i	−0.926961	+	0.375157i	$0.877589\pi$
$182$	4.62952	−	3.88463i	0.343163	−	0.287948i
$183$	29.5983	+	24.8359i	2.18797	+	1.83592i
$184$	−7.02494			−0.517885
$185$	5.13123	−	3.26657i	0.377256	−	0.240163i
$186$	13.6465			1.00061
$187$	−1.30131	−	1.09192i	−0.0951609	−	0.0798494i
$188$	4.06192	−	3.40836i	0.296246	−	0.248580i
$189$	10.1572	+	57.6043i	0.738827	+	4.19010i
$190$	−2.88641	−	1.05057i	−0.209402	−	0.0762163i
$191$	−0.986787			−0.0714014			−0.0357007	−	0.999363i	$-0.511366\pi$
$191$	−0.986787			−0.0714014			−0.0357007	+	0.999363i	$0.511366\pi$
$192$	−3.20321	−	1.16587i	−0.231172	−	0.0841396i
$193$	9.14329	−	15.8366i	0.658148	−	1.13995i	−0.322946	−	0.946417i	$-0.604673\pi$
$193$	9.14329	−	15.8366i	0.658148	−	1.13995i	0.981095	−	0.193529i	$-0.0619934\pi$
$194$	0.211496	−	1.19945i	0.0151845	−	0.0861157i
$195$	3.37341	+	5.84292i	0.241575	+	0.418420i
$196$	−1.16160	+	2.01194i	−0.0829711	+	0.143710i
$197$	5.48062	+	4.59878i	0.390478	+	0.327650i	0.816799	−	0.576922i	$-0.195746\pi$
$197$	5.48062	+	4.59878i	0.390478	+	0.327650i	−0.426322	+	0.904572i	$0.640191\pi$
$198$	1.00071	+	5.67529i	0.0711172	+	0.403325i
$199$	11.2677	+	19.5162i	0.798746	+	1.38347i	0.920433	+	0.390899i	$0.127836\pi$
$199$	11.2677	+	19.5162i	0.798746	+	1.38347i	−0.121688	+	0.992568i	$0.538831\pi$
$200$	−0.939693	+	0.342020i	−0.0664463	+	0.0241845i
$201$	−16.8548	+	6.13465i	−1.18885	+	0.432705i
$202$	1.31139	−	7.43728i	0.0922693	−	0.523285i
$203$	14.4285	−	12.1070i	1.01268	−	0.849742i
$204$	−6.63498	+	5.56741i	−0.464542	+	0.389797i
$205$	0.522141	−	2.96121i	0.0364679	−	0.206820i
$206$	1.07523	−	0.391350i	0.0749146	−	0.0272667i
$207$	56.9018	−	20.7106i	3.95495	−	1.43948i
$208$	−0.989622	−	1.71408i	−0.0686180	−	0.118850i
$209$	−0.356601	−	2.02238i	−0.0246666	−	0.139891i
$210$	−7.97326	−	6.69036i	−0.550207	−	0.461678i
$211$	10.8439	−	18.7821i	0.746523	−	1.29302i	−0.202957	−	0.979188i	$-0.565055\pi$
$211$	10.8439	−	18.7821i	0.746523	−	1.29302i	0.949480	−	0.313828i	$-0.101612\pi$
$212$	7.09433	+	12.2877i	0.487241	+	0.843925i
$213$	−1.64105	+	9.30684i	−0.112443	+	0.637694i
$214$	−3.55494	+	6.15734i	−0.243011	+	0.420907i
$215$	−8.73021	−	3.17754i	−0.595396	−	0.216706i
$216$	19.1567			1.30345
$217$	−11.4866	−	4.18076i	−0.779758	−	0.283809i
$218$	−1.23024	−	6.97705i	−0.0833226	−	0.472546i
$219$	22.0243	−	18.4806i	1.48827	−	1.24880i
$220$	−0.512145	−	0.429741i	−0.0345288	−	0.0289731i
$221$	−5.02905			−0.338290
$222$	12.6280	−	16.4459i	0.847536	−	1.10377i
$223$	−12.9218			−0.865309			−0.432655	−	0.901560i	$-0.642423\pi$
$223$	−12.9218			−0.865309			−0.432655	+	0.901560i	$0.642423\pi$
$224$	2.33903	+	1.96268i	0.156283	+	0.131137i
$225$	6.60316	−	5.54071i	0.440211	−	0.369380i
$226$	−1.55967	−	8.84534i	−0.103748	−	0.588383i
$227$	−2.99163	−	1.08886i	−0.198561	−	0.0722705i	0.240825	−	0.970569i	$-0.422582\pi$
$227$	−2.99163	−	1.08886i	−0.198561	−	0.0722705i	−0.439387	+	0.898298i	$0.644804\pi$
$228$	−10.4706			−0.693434
$229$	2.21419	+	0.805901i	0.146318	+	0.0532554i	0.414141	−	0.910213i	$-0.364082\pi$
$229$	2.21419	+	0.805901i	0.146318	+	0.0532554i	−0.267823	+	0.963468i	$0.586304\pi$
$230$	−3.51247	+	6.08377i	−0.231605	+	0.401152i
$231$	1.20835	−	6.85287i	0.0795033	−	0.450886i
$232$	−3.08429	−	5.34215i	−0.202494	−	0.350729i
$233$	2.26423	−	3.92176i	0.148335	−	0.256923i	−0.782277	−	0.622930i	$-0.785942\pi$
$233$	2.26423	−	3.92176i	0.148335	−	0.256923i	0.930612	+	0.366007i	$0.119275\pi$
$234$	13.0693	+	10.9664i	0.854365	+	0.716897i
$235$	−0.920763	−	5.22190i	−0.0600639	−	0.340639i
$236$	−2.32464	−	4.02640i	−0.151321	−	0.262096i
$237$	−41.8135	+	15.2189i	−2.71608	+	0.988571i
$238$	7.29045	−	2.65351i	0.472570	−	0.172001i
$239$	1.56621	−	8.88242i	0.101310	−	0.574556i	−0.891321	−	0.453374i	$-0.850220\pi$
$239$	1.56621	−	8.88242i	0.101310	−	0.574556i	0.992630	−	0.121182i	$-0.0386685\pi$
$240$	−2.61128	+	2.19112i	−0.168557	+	0.141436i
$241$	−11.8031	+	9.90398i	−0.760305	+	0.637971i	−0.938206	−	0.346077i	$-0.887514\pi$
$241$	−11.8031	+	9.90398i	−0.760305	+	0.637971i	0.177901	+	0.984048i	$0.443069\pi$
$242$	−1.83251	+	10.3927i	−0.117798	+	0.668068i
$243$	−72.3357	+	26.3281i	−4.64034	+	1.68895i
$244$	−10.6512	+	3.87673i	−0.681874	+	0.248182i
$245$	1.16160	+	2.01194i	0.0742116	+	0.128538i
$246$	−1.77987	−	10.0941i	−0.113480	−	0.643578i
$247$	−4.65721	−	3.90787i	−0.296331	−	0.248652i
$248$	−2.00167	+	3.46699i	−0.127106	+	0.220154i
$249$	−30.8211	−	53.3837i	−1.95321	−	3.38305i
$250$	−0.173648	+	0.984808i	−0.0109825	+	0.0622847i
$251$	6.24504	−	10.8167i	0.394184	−	0.682746i	−0.598813	−	0.800889i	$-0.704361\pi$
$251$	6.24504	−	10.8167i	0.394184	−	0.682746i	0.992997	+	0.118143i	$0.0376941\pi$
$252$	−24.7324	−	9.00185i	−1.55799	−	0.567063i
$253$	−4.69658			−0.295271
$254$	10.8092	+	3.93423i	0.678230	+	0.246855i
$255$	1.50403	+	8.52977i	0.0941859	+	0.534155i
$256$	0.766044	−	0.642788i	0.0478778	−	0.0401742i
$257$	5.75799	+	4.83153i	0.359173	+	0.301382i	0.804461	−	0.594005i	$-0.202454\pi$
$257$	5.75799	+	4.83153i	0.359173	+	0.301382i	−0.445288	+	0.895388i	$0.646899\pi$
$258$	−31.6693			−1.97165
$259$	−15.6677	+	9.97410i	−0.973540	+	0.619761i
$260$	−1.97924			−0.122748
$261$	40.7321	+	34.1783i	2.52125	+	2.11558i
$262$	16.2919	−	13.6706i	1.00652	−	0.844570i
$263$	−3.49885	−	19.8430i	−0.215748	−	1.22357i	−0.879603	−	0.475709i	$-0.842192\pi$
$263$	−3.49885	−	19.8430i	−0.215748	−	1.22357i	0.663854	−	0.747862i	$-0.268919\pi$
$264$	−2.14153	−	0.779454i	−0.131802	−	0.0479720i
$265$	14.1887			0.871602
$266$	8.81335	+	3.20780i	0.540381	+	0.196683i
$267$	−5.72791	+	9.92102i	−0.350542	+	0.607157i
$268$	0.913710	−	5.18191i	0.0558137	−	0.316535i
$269$	−6.96659	−	12.0665i	−0.424761	−	0.735707i	0.571637	−	0.820506i	$-0.306308\pi$
$269$	−6.96659	−	12.0665i	−0.424761	−	0.735707i	−0.996398	+	0.0847994i	$0.972975\pi$
$270$	9.57836	−	16.5902i	0.582920	−	1.00965i
$271$	−1.25956	−	1.05690i	−0.0765128	−	0.0642019i	0.603729	−	0.797190i	$-0.293681\pi$
$271$	−1.25956	−	1.05690i	−0.0765128	−	0.0642019i	−0.680242	+	0.732988i	$0.738125\pi$
$272$	−0.441221	−	2.50229i	−0.0267530	−	0.151724i
$273$	−10.3003	−	17.8407i	−0.623405	−	1.07977i
$274$	−0.531526	+	0.193460i	−0.0321106	+	0.0116873i
$275$	−0.628239	+	0.228660i	−0.0378842	+	0.0137887i
$276$	−4.15827	+	23.5827i	−0.250298	+	1.41951i
$277$	2.85902	−	2.39901i	0.171782	−	0.144142i	−0.552843	−	0.833285i	$-0.686457\pi$
$277$	2.85902	−	2.39901i	0.171782	−	0.144142i	0.724625	+	0.689143i	$0.242013\pi$
$278$	−7.96339	+	6.68208i	−0.477612	+	0.400764i
$279$	5.99225	−	33.9837i	0.358746	−	2.03455i
$280$	2.86925	−	1.04432i	0.171470	−	0.0624101i
$281$	15.4821	−	5.63502i	0.923585	−	0.336157i	0.163921	−	0.986473i	$-0.447586\pi$
$281$	15.4821	−	5.63502i	0.923585	−	0.336157i	0.759664	+	0.650316i	$0.225364\pi$
$282$	−9.03747	−	15.6534i	−0.538174	−	0.932144i
$283$	1.32667	+	7.52392i	0.0788623	+	0.447250i	0.998513	+	0.0545132i	$0.0173607\pi$
$283$	1.32667	+	7.52392i	0.0788623	+	0.447250i	−0.919651	+	0.392737i	$0.871528\pi$
$284$	−2.12376	−	1.78205i	−0.126022	−	0.105745i
$285$	−5.23531	+	9.06782i	−0.310113	+	0.537131i
$286$	−0.661620	−	1.14596i	−0.0391224	−	0.0677620i
$287$	−1.59430	+	9.04173i	−0.0941086	+	0.533716i
$288$	−4.30991	+	7.46497i	−0.253964	+	0.439878i
$289$	9.90799	+	3.60622i	0.582823	+	0.212130i
$290$	−6.16858			−0.362232
$291$	−3.90137	−	1.41998i	−0.228702	−	0.0832408i
$292$	1.46460	+	8.30617i	0.0857093	+	0.486082i
$293$	0.0370312	−	0.0310729i	0.00216339	−	0.00181530i	−0.641705	−	0.766951i	$-0.721773\pi$
$293$	0.0370312	−	0.0310729i	0.00216339	−	0.00181530i	0.643869	+	0.765136i	$0.277328\pi$
$294$	6.06650	+	5.09040i	0.353806	+	0.296878i
$295$	−4.64929			−0.270692
$296$	2.32591	+	5.62051i	0.135191	+	0.326686i
$297$	12.8074			0.743159
$298$	−4.61155	−	3.86955i	−0.267140	−	0.224157i
$299$	−10.6511	+	8.93736i	−0.615971	+	0.516861i
$300$	0.591929	+	3.35700i	0.0341750	+	0.193816i
$301$	26.6568	+	9.70226i	1.53647	+	0.559229i
$302$	−22.1656			−1.27549
$303$	−24.1907	−	8.80469i	−1.38972	−	0.505816i
$304$	1.53583	−	2.66013i	0.0880858	−	0.152569i
$305$	−1.96827	+	11.1626i	−0.112703	+	0.639168i
$306$	10.9510	+	18.9677i	0.626027	+	1.08431i
$307$	5.50852	−	9.54104i	0.314388	−	0.544536i	−0.664919	−	0.746915i	$-0.731534\pi$
$307$	5.50852	−	9.54104i	0.314388	−	0.544536i	0.979307	+	0.202379i	$0.0648674\pi$
$308$	1.56378	+	1.31217i	0.0891046	+	0.0747676i
$309$	−0.677304	−	3.84118i	−0.0385305	−	0.218517i
$310$	2.00167	+	3.46699i	0.113687	+	0.196912i
$311$	10.7120	−	3.89885i	0.607421	−	0.221083i	−0.0199532	−	0.999801i	$-0.506352\pi$
$311$	10.7120	−	3.89885i	0.607421	−	0.221083i	0.627375	+	0.778718i	$0.284129\pi$
$312$	−6.33994	+	2.30755i	−0.358928	+	0.130639i
$313$	−5.20173	+	29.5005i	−0.294019	+	1.66747i	0.377142	+	0.926155i	$0.376907\pi$
$313$	−5.20173	+	29.5005i	−0.294019	+	1.66747i	−0.671162	+	0.741311i	$0.734204\pi$
$314$	−17.5346	+	14.7133i	−0.989534	+	0.830317i
$315$	−20.1620	+	16.9179i	−1.13600	+	0.953218i
$316$	2.26674	−	12.8553i	0.127514	−	0.723167i
$317$	11.6046	−	4.22373i	0.651779	−	0.237228i	0.00509591	−	0.999987i	$-0.498378\pi$
$317$	11.6046	−	4.22373i	0.651779	−	0.237228i	0.646683	+	0.762759i	$0.276156\pi$
$318$	45.4493	−	16.5422i	2.54867	−	0.927639i
$319$	−2.06203	−	3.57154i	−0.115451	−	0.199968i
$320$	−0.173648	−	0.984808i	−0.00970723	−	0.0550524i
$321$	18.5659	+	15.5786i	1.03625	+	0.869515i
$322$	10.7249	−	18.5761i	0.597677	−	1.03521i
$323$	−3.90237	−	6.75911i	−0.217134	−	0.376087i
$324$	6.84898	−	38.8425i	0.380499	−	2.15792i
$325$	−0.989622	+	1.71408i	−0.0548944	+	0.0950798i
$326$	7.08842	+	2.57997i	0.392591	+	0.142892i
$327$	−24.1502			−1.33551
$328$	2.82555	+	1.02842i	0.156015	+	0.0567848i
$329$	2.81145	+	15.9445i	0.155000	+	0.879049i
$330$	−1.74579	+	1.46489i	−0.0961027	+	0.0806397i
$331$	−6.47527	−	5.43340i	−0.355913	−	0.298647i	0.447246	−	0.894411i	$-0.352405\pi$
$331$	−6.47527	−	5.43340i	−0.355913	−	0.298647i	−0.803159	+	0.595764i	$0.796849\pi$
$332$	18.0833			0.992452
$333$	−35.4099	−	38.6688i	−1.94045	−	2.11904i
$334$	11.7251			0.641569
$335$	−4.03081	−	3.38225i	−0.220227	−	0.184792i
$336$	7.97326	−	6.69036i	0.434977	−	0.364989i
$337$	2.26903	+	12.8683i	0.123602	+	0.700981i	0.982128	+	0.188212i	$0.0602691\pi$
$337$	2.26903	+	12.8683i	0.123602	+	0.700981i	−0.858527	+	0.512769i	$0.828620\pi$
$338$	8.53484	+	3.10643i	0.464234	+	0.168967i
$339$	−30.6170			−1.66289
$340$	−2.38766	−	0.869036i	−0.129489	−	0.0471301i
$341$	−1.33823	+	2.31788i	−0.0724692	+	0.125520i
$342$	−4.59770	+	26.0749i	−0.248615	+	1.40997i
$343$	7.14006	+	12.3669i	0.385527	+	0.667753i
$344$	4.64525	−	8.04581i	0.250455	−	0.433801i
$345$	18.3441	+	15.3925i	0.987612	+	0.828705i
$346$	2.93662	+	16.6544i	0.157874	+	0.895346i
$347$	−1.66323	−	2.88080i	−0.0892869	−	0.154650i	0.817923	−	0.575328i	$-0.195125\pi$
$347$	−1.66323	−	2.88080i	−0.0892869	−	0.154650i	−0.907210	+	0.420678i	$0.861792\pi$
$348$	−19.7593	+	7.19178i	−1.05921	+	0.385520i
$349$	−13.9527	+	5.07837i	−0.746872	+	0.271839i	−0.687289	−	0.726384i	$-0.741199\pi$
$349$	−13.9527	+	5.07837i	−0.746872	+	0.271839i	−0.0595831	+	0.998223i	$0.518977\pi$
$350$	0.530216	−	3.00700i	0.0283412	−	0.160731i
$351$	29.0452	−	24.3718i	1.55032	−	1.30087i
$352$	0.512145	−	0.429741i	0.0272974	−	0.0229053i
$353$	4.30296	−	24.4033i	0.229024	−	1.29886i	−0.625819	−	0.779969i	$-0.715235\pi$
$353$	4.30296	−	24.4033i	0.229024	−	1.29886i	0.854842	−	0.518888i	$-0.173654\pi$
$354$	−14.8926	+	5.42048i	−0.791535	+	0.288095i
$355$	−2.60518	+	0.948207i	−0.138268	+	0.0503256i
$356$	−1.68034	−	2.91043i	−0.0890577	−	0.154252i
$357$	−4.59238	−	26.0447i	−0.243055	−	1.37843i
$358$	0.562185	+	0.471729i	0.0297124	+	0.0249316i
$359$	−3.00654	+	5.20747i	−0.158679	+	0.274840i	−0.934393	−	0.356245i	$-0.884057\pi$
$359$	−3.00654	+	5.20747i	−0.158679	+	0.274840i	0.775714	+	0.631085i	$0.217390\pi$
$360$	4.30991	+	7.46497i	0.227152	+	0.393439i
$361$	−1.66093	+	9.41961i	−0.0874174	+	0.495769i
$362$	−2.80497	+	4.85835i	−0.147426	+	0.255349i
$363$	33.8036	+	12.3035i	1.77423	+	0.645766i
$364$	6.04341			0.316761
$365$	7.92566	+	2.88470i	0.414848	+	0.150992i
$366$	6.70939	+	38.0509i	0.350706	+	1.98895i
$367$	9.63795	−	8.08720i	0.503097	−	0.422148i	−0.355596	−	0.934640i	$-0.615722\pi$
$367$	9.63795	−	8.08720i	0.503097	−	0.422148i	0.858692	+	0.512492i	$0.171277\pi$
$368$	−5.38141	−	4.51554i	−0.280526	−	0.235389i
$369$	−25.9188			−1.34928
$370$	6.03046	+	0.795956i	0.313509	+	0.0413798i
$371$	−43.3235			−2.24924
$372$	10.4538	+	8.77180i	0.542006	+	0.454797i
$373$	1.97851	−	1.66017i	0.102443	−	0.0859602i	−0.590127	−	0.807310i	$-0.700922\pi$
$373$	1.97851	−	1.66017i	0.102443	−	0.0859602i	0.692571	+	0.721350i	$0.256478\pi$
$374$	−0.294982	−	1.67293i	−0.0152532	−	0.0865049i
$375$	3.20321	+	1.16587i	0.165413	+	0.0602054i
$376$	5.30246			0.273454
$377$	−11.4728	−	4.17577i	−0.590881	−	0.215063i
$378$	−29.2465	+	50.6564i	−1.50428	+	2.60548i
$379$	−4.58579	+	26.0073i	−0.235556	+	1.33591i	0.605883	+	0.795554i	$0.292820\pi$
$379$	−4.58579	+	26.0073i	−0.235556	+	1.33591i	−0.841439	+	0.540352i	$0.818291\pi$
$380$	−1.53583	−	2.66013i	−0.0787863	−	0.136462i
$381$	19.6055	−	33.9577i	1.00442	−	1.73970i
$382$	−0.755923	−	0.634294i	−0.0386764	−	0.0324533i
$383$	5.46619	+	31.0003i	0.279309	+	1.58404i	0.724931	+	0.688821i	$0.241871\pi$
$383$	5.46619	+	31.0003i	0.279309	+	1.58404i	−0.445622	+	0.895221i	$0.647017\pi$
$384$	−1.70439	−	2.95209i	−0.0869769	−	0.150648i
$385$	1.91826	−	0.698189i	0.0977635	−	0.0355830i
$386$	17.1838	−	6.25438i	0.874630	−	0.318339i
$387$	−13.9062	+	78.8657i	−0.706890	+	4.00897i
$388$	0.933009	−	0.782887i	0.0473663	−	0.0397451i
$389$	−6.97132	+	5.84963i	−0.353460	+	0.296588i	−0.802178	−	0.597085i	$-0.796325\pi$
$389$	−6.97132	+	5.84963i	−0.353460	+	0.296588i	0.448718	+	0.893674i	$0.351881\pi$
$390$	−1.17157	+	6.64432i	−0.0593249	+	0.336448i
$391$	−16.7731	+	6.10493i	−0.848254	+	0.308739i
$392$	−2.18308	+	0.794578i	−0.110262	+	0.0401322i
$393$	−36.2484	−	62.7840i	−1.82849	−	3.16703i
$394$	1.24235	+	7.04574i	0.0625889	+	0.354959i
$395$	−9.99965	−	8.39070i	−0.503137	−	0.422182i
$396$	−2.88142	+	4.99077i	−0.144797	+	0.250796i
$397$	−8.15910	−	14.1320i	−0.409493	−	0.709263i	0.585340	−	0.810788i	$-0.300961\pi$
$397$	−8.15910	−	14.1320i	−0.409493	−	0.709263i	−0.994833	+	0.101525i	$0.967628\pi$
$398$	−3.91323	+	22.1930i	−0.196152	+	1.11244i
$399$	15.9854	−	27.6876i	0.800273	−	1.38611i
$400$	−0.939693	−	0.342020i	−0.0469846	−	0.0171010i
$401$	−27.4316			−1.36987			−0.684935	−	0.728604i	$-0.740170\pi$
$401$	−27.4316			−1.36987			−0.684935	+	0.728604i	$0.740170\pi$
$402$	−16.8548	−	6.13465i	−0.840641	−	0.305968i
$403$	1.37591	+	7.80320i	0.0685392	+	0.388705i
$404$	5.78518	−	4.85434i	0.287823	−	0.241513i
$405$	−30.2141	−	25.3526i	−1.50135	−	1.25978i
$406$	18.8351			0.934770
$407$	1.55501	+	3.75764i	0.0770788	+	0.186259i
$408$	−8.66135			−0.428801
$409$	17.0488	+	14.3056i	0.843009	+	0.707368i	0.958238	−	0.285971i	$-0.0923160\pi$
$409$	17.0488	+	14.3056i	0.843009	+	0.707368i	−0.115230	+	0.993339i	$0.536760\pi$
$410$	2.30341	−	1.93279i	0.113757	−	0.0954538i
$411$	0.334818	+	1.89884i	0.0165153	+	0.0936631i
$412$	1.07523	+	0.391350i	0.0529726	+	0.0192805i
$413$	14.1961			0.698544
$414$	56.9018	+	20.7106i	2.79657	+	1.01787i
$415$	9.04167	−	15.6606i	0.443838	−	0.768750i
$416$	0.343692	−	1.94918i	0.0168509	−	0.0955662i
$417$	17.7179	+	30.6884i	0.867652	+	1.50282i
$418$	1.02679	−	1.77845i	0.0502220	−	0.0869870i
$419$	5.38052	+	4.51479i	0.262855	+	0.220562i	0.764684	−	0.644405i	$-0.222895\pi$
$419$	5.38052	+	4.51479i	0.262855	+	0.220562i	−0.501829	+	0.864967i	$0.667339\pi$
$420$	−1.80739	−	10.2502i	−0.0881916	−	0.500160i
$421$	−7.81791	−	13.5410i	−0.381022	−	0.659949i	0.610187	−	0.792257i	$-0.291094\pi$
$421$	−7.81791	−	13.5410i	−0.381022	−	0.659949i	−0.991209	+	0.132309i	$0.957761\pi$
$422$	20.3798	−	7.41765i	0.992074	−	0.361085i
$423$	−42.9498	+	15.6324i	−2.08829	+	0.760075i
$424$	−2.46384	+	13.9731i	−0.119654	+	0.678594i
$425$	−1.94644	+	1.63325i	−0.0944160	+	0.0792244i
$426$	−7.23944	+	6.07461i	−0.350752	+	0.294316i
$427$	6.00988	−	34.0837i	0.290839	−	1.64943i
$428$	−6.68111	+	2.43172i	−0.322944	+	0.117542i
$429$	−4.23861	+	1.54273i	−0.204642	+	0.0744837i
$430$	−4.64525	−	8.04581i	−0.224014	−	0.388003i
$431$	1.54678	+	8.77222i	0.0745057	+	0.422543i	0.999132	+	0.0416663i	$0.0132666\pi$
$431$	1.54678	+	8.77222i	0.0745057	+	0.422543i	−0.924626	+	0.380877i	$0.875622\pi$
$432$	14.6749	+	12.3137i	0.706046	+	0.592443i
$433$	5.92599	−	10.2641i	0.284785	−	0.493262i	−0.687772	−	0.725927i	$-0.741411\pi$
$433$	5.92599	−	10.2641i	0.284785	−	0.493262i	0.972557	+	0.232665i	$0.0747444\pi$
$434$	−6.11187	−	10.5861i	−0.293379	−	0.508148i
$435$	−3.65136	+	20.7079i	−0.175069	+	0.992868i
$436$	3.54234	−	6.13552i	0.169647	−	0.293838i
$437$	−20.2769	−	7.38018i	−0.969974	−	0.353042i
$438$	28.7507			1.37376
$439$	0.559931	+	0.203798i	0.0267241	+	0.00972676i	0.355348	−	0.934734i	$-0.384363\pi$
$439$	0.559931	+	0.203798i	0.0267241	+	0.00972676i	−0.328624	+	0.944461i	$0.606585\pi$
$440$	−0.116094	−	0.658401i	−0.00553456	−	0.0313880i
$441$	15.3404	−	12.8721i	0.730495	−	0.612958i
$442$	−3.85247	−	3.23261i	−0.183243	−	0.153760i
$443$	25.8999			1.23054			0.615271	−	0.788315i	$-0.289046\pi$
$443$	25.8999			1.23054			0.615271	+	0.788315i	$0.289046\pi$
$444$	20.2448	−	4.48114i	0.960776	−	0.212665i
$445$	−3.36067			−0.159311
$446$	−9.89869	−	8.30599i	−0.468717	−	0.393300i
$447$	−15.7198	+	13.1905i	−0.743519	+	0.623887i
$448$	0.530216	+	3.00700i	0.0250503	+	0.142067i
$449$	−29.7957	−	10.8448i	−1.40615	−	0.511796i	−0.476151	−	0.879363i	$-0.657968\pi$
$449$	−29.7957	−	10.8448i	−1.40615	−	0.511796i	−0.929997	+	0.367567i	$0.880191\pi$
$450$	8.61981			0.406342
$451$	1.88905	+	0.687556i	0.0889517	+	0.0323758i
$452$	4.49090	−	7.77846i	0.211234	−	0.365868i
$453$	−13.1205	+	74.4099i	−0.616453	+	3.49608i
$454$	−1.59181	−	2.75710i	−0.0747075	−	0.129397i
$455$	3.02170	−	5.23374i	0.141660	−	0.245362i
$456$	−8.02096	−	6.73038i	−0.375616	−	0.315179i
$457$	−0.406732	−	2.30669i	−0.0190261	−	0.107902i	0.973816	−	0.227339i	$-0.0730024\pi$
$457$	−0.406732	−	2.30669i	−0.0190261	−	0.107902i	−0.992842	+	0.119436i	$0.961891\pi$
$458$	1.17815	+	2.04061i	0.0550513	+	0.0953516i
$459$	45.7397	−	16.6479i	2.13495	−	0.777057i
$460$	−6.60128	+	2.40267i	−0.307786	+	0.112025i
$461$	−2.41891	+	13.7183i	−0.112660	+	0.638925i	0.875223	+	0.483720i	$0.160715\pi$
$461$	−2.41891	+	13.7183i	−0.112660	+	0.638925i	−0.987882	+	0.155204i	$0.950396\pi$
$462$	5.33058	−	4.47289i	0.248001	−	0.208098i
$463$	8.10706	−	6.80263i	0.376767	−	0.316145i	−0.434665	−	0.900592i	$-0.643133\pi$
$463$	8.10706	−	6.80263i	0.376767	−	0.316145i	0.811432	+	0.584447i	$0.198689\pi$
$464$	1.07116	−	6.07487i	0.0497275	−	0.282019i
$465$	12.8235	−	4.66738i	0.594676	−	0.216444i
$466$	4.25536	−	1.54883i	0.197126	−	0.0717480i
$467$	12.9104	+	22.3615i	0.597423	+	1.03477i	0.993200	+	0.116420i	$0.0371419\pi$
$467$	12.9104	+	22.3615i	0.597423	+	1.03477i	−0.395777	+	0.918347i	$0.629525\pi$
$468$	2.96256	+	16.8015i	0.136944	+	0.776651i
$469$	12.3076	+	10.3273i	0.568314	+	0.476872i
$470$	2.65123	−	4.59207i	0.122292	−	0.211816i
$471$	39.0131	+	67.5728i	1.79763	+	3.11359i
$472$	0.807341	−	4.57866i	0.0371609	−	0.210750i
$473$	3.10562	−	5.37909i	0.142797	−	0.247331i
$474$	−41.8135	−	15.2189i	−1.92056	−	0.699025i
$475$	−3.07166			−0.140937
$476$	7.29045	+	2.65351i	0.334157	+	0.121623i
$477$	−21.2378	−	120.445i	−0.972412	−	5.51482i
$478$	6.90929	−	5.79759i	0.316024	−	0.265175i
$479$	−7.49196	−	6.28650i	−0.342316	−	0.287237i	0.455380	−	0.890297i	$-0.349504\pi$
$479$	−7.49196	−	6.28650i	−0.342316	−	0.287237i	−0.797696	+	0.603060i	$0.793948\pi$
$480$	−3.40878			−0.155589
$481$	10.6771	+	5.56265i	0.486835	+	0.253635i
$482$	−15.4079			−0.701809
$483$	−56.0116	−	46.9993i	−2.54862	−	2.13854i
$484$	−8.08409	+	6.78336i	−0.367459	+	0.308334i
$485$	−0.211496	−	1.19945i	−0.00960354	−	0.0544644i
$486$	−72.3357	−	26.3281i	−3.28122	−	1.19426i
$487$	−20.1578			−0.913436			−0.456718	−	0.889611i	$-0.650975\pi$
$487$	−20.1578			−0.913436			−0.456718	+	0.889611i	$0.650975\pi$
$488$	−10.6512	−	3.87673i	−0.482158	−	0.175491i
$489$	12.8568	−	22.2686i	0.581405	−	1.00702i
$490$	−0.403418	+	2.28790i	−0.0182246	+	0.103357i
$491$	−0.827712	−	1.43364i	−0.0373541	−	0.0646992i	0.846744	−	0.532001i	$-0.178560\pi$
$491$	−0.827712	−	1.43364i	−0.0373541	−	0.0646992i	−0.884098	+	0.467301i	$0.845226\pi$
$492$	5.12492	−	8.87662i	0.231049	−	0.400189i
$493$	−12.0068	−	10.0749i	−0.540757	−	0.453749i
$494$	−1.05570	−	5.98720i	−0.0474984	−	0.269377i
$495$	2.88142	+	4.99077i	0.129510	+	0.224318i
$496$	−3.76190	+	1.36922i	−0.168914	+	0.0614798i
$497$	7.95462	−	2.89525i	0.356814	−	0.129869i
$498$	10.7041	−	60.7057i	0.479660	−	2.72029i
$499$	−25.7289	+	21.5891i	−1.15179	+	0.966463i	−0.999760	−	0.0219139i	$-0.993024\pi$
$499$	−25.7289	+	21.5891i	−1.15179	+	0.966463i	−0.152025	+	0.988377i	$0.548580\pi$
$500$	−0.766044	+	0.642788i	−0.0342585	+	0.0287463i
$501$	6.94043	−	39.3611i	0.310075	−	1.75852i
$502$	11.7368	−	4.27186i	0.523841	−	0.190662i
$503$	−29.8669	+	10.8707i	−1.33170	+	0.484699i	−0.907189	−	0.420724i	$-0.861776\pi$
$503$	−29.8669	+	10.8707i	−1.33170	+	0.484699i	−0.424511	+	0.905423i	$0.639554\pi$
$504$	−13.1598	−	22.7935i	−0.586185	−	1.01530i
$505$	−1.31139	−	7.43728i	−0.0583563	−	0.330955i
$506$	−3.59779	−	3.01890i	−0.159941	−	0.134207i
$507$	15.4803	−	26.8127i	0.687504	−	1.19079i
$508$	5.75146	+	9.96182i	0.255180	+	0.441984i
$509$	−4.54977	+	25.8031i	−0.201665	+	1.14370i	0.700937	+	0.713224i	$0.252766\pi$
$509$	−4.54977	+	25.8031i	−0.201665	+	1.14370i	−0.902602	+	0.430477i	$0.858345\pi$
$510$	−4.33068	+	7.50095i	−0.191766	+	0.332148i
$511$	−24.2001	−	8.80812i	−1.07055	−	0.389648i
$512$	1.00000			0.0441942
$513$	55.2942	+	20.1255i	2.44130	+	0.888560i
$514$	1.30523	+	7.40233i	0.0575712	+	0.326503i
$515$	0.876533	−	0.735498i	0.0386246	−	0.0324099i
$516$	−24.2601	−	20.3566i	−1.06799	−	0.896151i
$517$	3.54500			0.155909
$518$	−18.4133	−	2.43037i	−0.809036	−	0.106784i
$519$	57.6470			2.53042
$520$	−1.51619	−	1.27223i	−0.0664893	−	0.0557912i
$521$	−0.825976	+	0.693077i	−0.0361867	+	0.0303642i	−0.660702	−	0.750649i	$-0.729741\pi$
$521$	−0.825976	+	0.693077i	−0.0361867	+	0.0303642i	0.624515	+	0.781013i	$0.285297\pi$
$522$	9.23322	+	52.3642i	0.404127	+	2.29192i
$523$	−20.8069	−	7.57311i	−0.909824	−	0.331149i	−0.155641	−	0.987814i	$-0.549744\pi$
$523$	−20.8069	−	7.57311i	−0.909824	−	0.331149i	−0.754183	+	0.656665i	$0.771967\pi$
$524$	21.2676			0.929080
$525$	−9.78065	−	3.55986i	−0.426862	−	0.155365i
$526$	10.0745	−	17.4496i	0.439271	−	0.760840i
$527$	−1.76636	+	10.0175i	−0.0769437	+	0.436369i
$528$	−1.13948	−	1.97365i	−0.0495897	−	0.0858919i
$529$	−13.1749	+	22.8195i	−0.572821	+	0.992154i
$530$	10.8691	+	9.12030i	0.472125	+	0.396160i
$531$	6.95912	+	39.4671i	0.302000	+	1.71273i
$532$	4.68948	+	8.12242i	0.203315	+	0.352152i
$533$	5.59246	−	2.03549i	0.242236	−	0.0881668i
$534$	−10.7649	+	3.91812i	−0.465845	+	0.169554i
$535$	−1.23462	+	7.00187i	−0.0533772	+	0.302717i
$536$	4.03081	−	3.38225i	0.174104	−	0.146091i
$537$	1.91637	−	1.60802i	0.0826973	−	0.0693913i
$538$	2.41947	−	13.7215i	0.104311	−	0.591576i
$539$	−1.45952	+	0.531221i	−0.0628659	+	0.0228813i
$540$	18.0014	−	6.55198i	0.774658	−	0.281953i
$541$	6.47591	+	11.2166i	0.278421	+	0.482240i	0.970993	−	0.239110i	$-0.0768555\pi$
$541$	6.47591	+	11.2166i	0.278421	+	0.482240i	−0.692571	+	0.721349i	$0.743522\pi$
$542$	−0.285519	−	1.61926i	−0.0122641	−	0.0695531i
$543$	14.6491	+	12.2921i	0.628655	+	0.527504i
$544$	1.27045	−	2.20048i	0.0544699	−	0.0943447i
$545$	−3.54234	−	6.13552i	−0.151737	−	0.262817i
$546$	3.57727	−	20.2877i	0.153093	−	0.868233i
$547$	0.0432432	−	0.0748995i	0.00184895	−	0.00320247i	−0.865099	−	0.501600i	$-0.832745\pi$
$547$	0.0432432	−	0.0748995i	0.00184895	−	0.00320247i	0.866948	+	0.498398i	$0.166078\pi$
$548$	−0.531526	−	0.193460i	−0.0227057	−	0.00826418i
$549$	97.7037			4.16989
$550$	−0.628239	−	0.228660i	−0.0267882	−	0.00975011i
$551$	−3.29025	−	18.6599i	−0.140169	−	0.794939i
$552$	−18.3441	+	15.3925i	−0.780776	+	0.655149i
$553$	30.5328	+	25.6201i	1.29839	+	1.08948i
$554$	3.73219			0.158566
$555$	6.24163	−	19.7731i	0.264942	−	0.839321i
$556$	−10.3955			−0.440866
$557$	−19.7539	−	16.5755i	−0.836999	−	0.702325i	0.119888	−	0.992787i	$-0.461747\pi$
$557$	−19.7539	−	16.5755i	−0.836999	−	0.702325i	−0.956887	+	0.290462i	$0.906191\pi$
$558$	26.4346	−	22.1813i	1.11907	−	0.939009i
$559$	−3.19307	−	18.1088i	−0.135053	−	0.765921i
$560$	2.86925	+	1.04432i	0.121248	+	0.0441306i
$561$	−5.79062			−0.244480
$562$	15.4821	+	5.63502i	0.653073	+	0.237699i
$563$	−13.8821	+	24.0445i	−0.585061	+	1.01336i	0.409806	+	0.912173i	$0.365596\pi$
$563$	−13.8821	+	24.0445i	−0.585061	+	1.01336i	−0.994868	+	0.101184i	$0.967737\pi$
$564$	3.13868	−	17.8003i	0.132162	−	0.749530i
$565$	−4.49090	−	7.77846i	−0.188933	−	0.327242i
$566$	−3.81999	+	6.61642i	−0.160566	+	0.278109i
$567$	92.2554	+	77.4115i	3.87436	+	3.25098i
$568$	−0.481417	−	2.73025i	−0.0201998	−	0.114559i
$569$	3.41601	+	5.91670i	0.143207	+	0.248041i	0.928702	−	0.370826i	$-0.120925\pi$
$569$	3.41601	+	5.91670i	0.143207	+	0.248041i	−0.785496	+	0.618867i	$0.787592\pi$
$570$	−9.83916	+	3.58116i	−0.412117	+	0.149998i
$571$	6.14530	−	2.23670i	0.257173	−	0.0936032i	−0.210217	−	0.977655i	$-0.567417\pi$
$571$	6.14530	−	2.23670i	0.257173	−	0.0936032i	0.467389	+	0.884052i	$0.345195\pi$
$572$	0.229778	−	1.30314i	0.00960751	−	0.0544869i
$573$	−2.57678	+	2.16217i	−0.107646	+	0.0903261i
$574$	−7.03322	+	5.90157i	−0.293561	+	0.246327i
$575$	−1.21987	+	6.91821i	−0.0508720	+	0.288509i
$576$	−8.09997	+	2.94815i	−0.337499	+	0.122840i
$577$	−2.95382	+	1.07510i	−0.122969	+	0.0447571i	−0.402772	−	0.915300i	$-0.631953\pi$
$577$	−2.95382	+	1.07510i	−0.122969	+	0.0447571i	0.279803	+	0.960058i	$0.409731\pi$
$578$	5.27193	+	9.13126i	0.219284	+	0.379810i
$579$	−10.8244	−	61.3880i	−0.449845	−	2.55120i
$580$	−4.72541	−	3.96509i	−0.196212	−	0.164641i
$581$	−27.6077	+	47.8180i	−1.14536	+	1.98382i
$582$	−2.07588	−	3.59552i	−0.0860478	−	0.149039i
$583$	−1.64722	+	9.34183i	−0.0682207	+	0.386899i
$584$	−4.21715	+	7.30432i	−0.174507	+	0.302255i
$585$	16.0318	+	5.83511i	0.662834	+	0.241252i
$586$	0.0483408			0.00199694
$587$	5.55560	+	2.02207i	0.229304	+	0.0834599i	0.454117	−	0.890942i	$-0.349955\pi$
$587$	5.55560	+	2.02207i	0.229304	+	0.0834599i	−0.224813	+	0.974402i	$0.572177\pi$
$588$	1.37516	+	7.79894i	0.0567108	+	0.321623i
$589$	−9.41995	+	7.90427i	−0.388142	+	0.325690i
$590$	−3.56156	−	2.98851i	−0.146627	−	0.123035i
$591$	24.3879			1.00319
$592$	−1.83104	+	5.80063i	−0.0752554	+	0.238404i
$593$	11.9654			0.491359			0.245680	−	0.969351i	$-0.420989\pi$
$593$	11.9654			0.491359			0.245680	+	0.969351i	$0.420989\pi$
$594$	9.81102	+	8.23242i	0.402551	+	0.337780i
$595$	5.94323	−	4.98696i	0.243649	−	0.204445i
$596$	−1.04535	−	5.92849i	−0.0428193	−	0.242840i
$597$	72.1856	+	26.2734i	2.95436	+	1.07530i
$598$	−13.9041			−0.568580
$599$	10.6546	+	3.87797i	0.435336	+	0.158449i	0.550386	−	0.834910i	$-0.314481\pi$
$599$	10.6546	+	3.87797i	0.435336	+	0.158449i	−0.115050	+	0.993360i	$0.536703\pi$
$600$	−1.70439	+	2.95209i	−0.0695815	+	0.120519i
$601$	2.47163	−	14.0173i	0.100820	−	0.571778i	−0.891988	−	0.452059i	$-0.850690\pi$
$601$	2.47163	−	14.0173i	0.100820	−	0.571778i	0.992808	−	0.119719i	$-0.0381993\pi$
$602$	14.1838	+	24.5670i	0.578087	+	1.00128i
$603$	−22.6781	+	39.2796i	−0.923522	+	1.59959i
$604$	−16.9798	−	14.2478i	−0.690900	−	0.579734i
$605$	1.83251	+	10.3927i	0.0745023	+	0.422524i
$606$	−12.8716	−	22.2943i	−0.522873	−	0.905642i
$607$	2.29204	−	0.834236i	0.0930312	−	0.0338606i	−0.295085	−	0.955471i	$-0.595348\pi$
$607$	2.29204	−	0.834236i	0.0930312	−	0.0338606i	0.388116	+	0.921610i	$0.373126\pi$
$608$	2.88641	−	1.05057i	0.117060	−	0.0426062i
$609$	11.1490	−	63.2293i	0.451782	−	2.56218i
$610$	−8.68295	+	7.28586i	−0.351562	+	0.294996i
$611$	8.03953	−	6.74597i	0.325245	−	0.272913i
$612$	−3.80324	+	21.5693i	−0.153737	+	0.871886i
$613$	−31.1513	+	11.3382i	−1.25819	+	0.457944i	−0.883161	−	0.469069i	$-0.844590\pi$
$613$	−31.1513	+	11.3382i	−1.25819	+	0.457944i	−0.375029	+	0.927013i	$0.622367\pi$
$614$	10.3526	−	3.76805i	0.417798	−	0.152066i
$615$	−5.12492	−	8.87662i	−0.206657	−	0.357940i
$616$	0.354480	+	2.01035i	0.0142824	+	0.0809995i
$617$	34.5482	+	28.9894i	1.39086	+	1.16707i	0.964990	+	0.262285i	$0.0844762\pi$
$617$	34.5482	+	28.9894i	1.39086	+	1.16707i	0.425870	+	0.904785i	$0.359968\pi$
$618$	1.95022	−	3.37788i	0.0784494	−	0.135878i
$619$	−4.60864	−	7.98241i	−0.185237	−	0.320840i	0.758419	−	0.651767i	$-0.225972\pi$
$619$	−4.60864	−	7.98241i	−0.185237	−	0.320840i	−0.943656	+	0.330927i	$0.892639\pi$
$620$	−0.695172	+	3.94251i	−0.0279188	+	0.158335i
$621$	67.2874	−	116.545i	2.70015	−	4.67680i
$622$	10.7120	+	3.89885i	0.429512	+	0.156330i
$623$	10.2614			0.411116
$624$	−6.33994	−	2.30755i	−0.253801	−	0.0923758i
$625$	0.173648	+	0.984808i	0.00694593	+	0.0393923i
$626$	−22.9473	+	19.2551i	−0.917159	+	0.769588i
$627$	−5.36247	−	4.49965i	−0.214157	−	0.179699i
$628$	−22.8898			−0.913401
$629$	10.4379	+	11.3986i	0.416187	+	0.454490i
$630$	−26.3196			−1.04860
$631$	−3.64400	−	3.05768i	−0.145065	−	0.121724i	0.567367	−	0.823465i	$-0.307962\pi$
$631$	−3.64400	−	3.05768i	−0.145065	−	0.121724i	−0.712432	+	0.701741i	$0.752407\pi$
$632$	9.99965	−	8.39070i	0.397765	−	0.333764i
$633$	−12.8376	−	72.8057i	−0.510249	−	2.89377i
$634$	11.6046	+	4.22373i	0.460877	+	0.167746i
$635$	11.5029			0.456479
$636$	45.4493	+	16.5422i	1.80218	+	0.655940i
$637$	−2.29908	+	3.98213i	−0.0910929	+	0.157778i
$638$	0.716134	−	4.06140i	0.0283520	−	0.160792i
$639$	11.9487	+	20.6957i	0.472682	+	0.818709i
$640$	0.500000	−	0.866025i	0.0197642	−	0.0342327i
$641$	−11.0455	−	9.26830i	−0.436272	−	0.366076i	0.398040	−	0.917368i	$-0.369691\pi$
$641$	−11.0455	−	9.26830i	−0.436272	−	0.366076i	−0.834312	+	0.551292i	$0.814135\pi$
$642$	4.20855	+	23.8679i	0.166098	+	0.941990i
$643$	5.42034	+	9.38831i	0.213758	+	0.370239i	0.952888	−	0.303324i	$-0.0980964\pi$
$643$	5.42034	+	9.38831i	0.213758	+	0.370239i	−0.739130	+	0.673563i	$0.764763\pi$
$644$	20.1563	−	7.33629i	0.794269	−	0.289090i
$645$	−29.7594	+	10.8315i	−1.17178	+	0.426492i
$646$	1.35528	−	7.68618i	0.0533228	−	0.302409i
$647$	−7.53590	+	6.32337i	−0.296267	+	0.248597i	−0.778788	−	0.627287i	$-0.784165\pi$
$647$	−7.53590	+	6.32337i	−0.296267	+	0.248597i	0.482522	+	0.875884i	$0.339721\pi$
$648$	30.2141	−	25.3526i	1.18692	−	0.995946i
$649$	0.539754	−	3.06110i	0.0211872	−	0.120159i
$650$	−1.85988	+	0.676942i	−0.0729506	+	0.0265518i
$651$	−39.1552	+	14.2513i	−1.53461	+	0.558553i
$652$	3.77167	+	6.53272i	0.147710	+	0.255841i
$653$	−3.22395	−	18.2839i	−0.126163	−	0.715505i	−0.980610	−	0.195967i	$-0.937215\pi$
$653$	−3.22395	−	18.2839i	−0.126163	−	0.715505i	0.854448	−	0.519538i	$-0.173896\pi$
$654$	−18.5001	−	15.5234i	−0.723411	−	0.607014i
$655$	10.6338	−	18.4183i	0.415497	−	0.719662i
$656$	1.50345	+	2.60404i	0.0586997	+	0.101671i
$657$	12.6246	−	71.5976i	0.492532	−	2.79329i
$658$	−8.09524	+	14.0214i	−0.315585	+	0.546610i
$659$	37.7123	+	13.7262i	1.46906	+	0.534695i	0.947846	−	0.318729i	$-0.103256\pi$
$659$	37.7123	+	13.7262i	1.46906	+	0.534695i	0.521217	+	0.853424i	$0.325478\pi$
$660$	−2.27897			−0.0887088
$661$	−20.8511	−	7.58920i	−0.811016	−	0.295186i	−0.0969723	−	0.995287i	$-0.530916\pi$
$661$	−20.8511	−	7.58920i	−0.811016	−	0.295186i	−0.714043	+	0.700102i	$0.753138\pi$
$662$	−1.46783	−	8.32445i	−0.0570487	−	0.323539i
$663$	−13.1323	+	11.0193i	−0.510014	+	0.427953i
$664$	13.8526	+	11.6237i	0.537587	+	0.451089i
$665$	9.37897			0.363701
$666$	−2.26972	−	52.3831i	−0.0879499	−	2.02980i
$667$	−43.3339			−1.67790
$668$	8.98194	+	7.53675i	0.347522	+	0.291605i
$669$	−33.7425	+	28.3133i	−1.30456	+	1.09466i
$670$	−0.913710	−	5.18191i	−0.0352997	−	0.200195i
$671$	−7.12096	−	2.59182i	−0.274901	−	0.100056i
$672$	10.4083			0.401511
$673$	30.3377	+	11.0420i	1.16943	+	0.425639i	0.852458	−	0.522795i	$-0.175111\pi$
$673$	30.3377	+	11.0420i	1.16943	+	0.425639i	0.316975	+	0.948434i	$0.397333\pi$
$674$	−6.53341	+	11.3162i	−0.251657	+	0.435883i
$675$	3.32653	−	18.8657i	0.128038	−	0.726141i
$676$	4.54130	+	7.86575i	0.174665	+	0.302529i
$677$	−13.5253	+	23.4264i	−0.519818	+	0.900351i	0.479916	+	0.877314i	$0.340667\pi$
$677$	−13.5253	+	23.4264i	−0.519818	+	0.900351i	−0.999735	+	0.0230372i	$0.992666\pi$
$678$	−23.4540	−	19.6802i	−0.900744	−	0.755814i
$679$	0.645780	+	3.66240i	0.0247827	+	0.140550i
$680$	−1.27045	−	2.20048i	−0.0487194	−	0.0843844i
$681$	−10.1978	+	3.71170i	−0.390781	+	0.142233i
$682$	−2.51505	+	0.915403i	−0.0963062	+	0.0350526i
$683$	6.73862	−	38.2166i	0.257846	−	1.46232i	−0.530814	−	0.847488i	$-0.678114\pi$
$683$	6.73862	−	38.2166i	0.257846	−	1.46232i	0.788660	−	0.614829i	$-0.210775\pi$
$684$	−20.2826	+	17.0192i	−0.775526	+	0.650744i
$685$	−0.433304	+	0.363585i	−0.0165557	+	0.0138919i
$686$	−2.47972	+	14.0632i	−0.0946761	+	0.536935i
$687$	7.54771	−	2.74714i	0.287963	−	0.104810i
$688$	8.73021	−	3.17754i	0.332836	−	0.121143i
$689$	14.0414	+	24.3204i	0.534935	+	0.926535i
$690$	4.15827	+	23.5827i	0.158302	+	0.897778i
$691$	1.78285	+	1.49599i	0.0678229	+	0.0569102i	0.676069	−	0.736838i	$-0.263682\pi$
$691$	1.78285	+	1.49599i	0.0678229	+	0.0569102i	−0.608246	+	0.793749i	$0.708127\pi$
$692$	−8.45566	+	14.6456i	−0.321436	+	0.556743i
$693$	−8.79810	−	15.2388i	−0.334212	−	0.578873i
$694$	0.577634	−	3.27593i	0.0219267	−	0.124352i
$695$	−5.19773	+	9.00274i	−0.197161	+	0.341493i
$696$	−19.7593	−	7.19178i	−0.748973	−	0.272604i
$697$	7.64019			0.289393
$698$	−13.9527	−	5.07837i	−0.528118	−	0.192219i
$699$	−2.68053	−	15.2020i	−0.101387	−	0.574994i
$700$	2.33903	−	1.96268i	0.0884071	−	0.0741824i
$701$	17.5057	+	14.6891i	0.661182	+	0.554798i	0.910441	−	0.413639i	$-0.135742\pi$
$701$	17.5057	+	14.6891i	0.661182	+	0.554798i	−0.249259	+	0.968437i	$0.580187\pi$
$702$	37.9158			1.43104
$703$	0.808812	+	18.6666i	0.0305049	+	0.704026i
$704$	0.668558			0.0251972
$705$	−13.8462	−	11.6184i	−0.521478	−	0.437572i
$706$	18.9824	−	15.9281i	0.714412	−	0.599463i
$707$	4.00420	+	22.7089i	0.150593	+	0.854057i
$708$	−14.8926	−	5.42048i	−0.559700	−	0.203714i
$709$	11.8885			0.446482			0.223241	−	0.974763i	$-0.428336\pi$
$709$	11.8885			0.446482			0.223241	+	0.974763i	$0.428336\pi$
$710$	−2.60518	−	0.948207i	−0.0977705	−	0.0355856i
$711$	−56.2599	+	97.4449i	−2.10991	+	3.65447i
$712$	0.583575	−	3.30962i	0.0218704	−	0.124033i
$713$	14.0616	+	24.3554i	0.526610	+	0.912116i
$714$	13.2232	−	22.9033i	0.494867	−	0.857136i
$715$	−1.01366	−	0.850562i	−0.0379087	−	0.0318092i
$716$	0.127437	+	0.722731i	0.00476254	+	0.0270097i
$717$	−15.3727	−	26.6262i	−0.574103	−	0.994375i
$718$	−5.65044	+	2.05659i	−0.210873	+	0.0767513i
$719$	−42.2005	+	15.3597i	−1.57381	+	0.572821i	−0.973847	−	0.227205i	$-0.927041\pi$
$719$	−42.2005	+	15.3597i	−1.57381	+	0.572821i	−0.599965	+	0.800026i	$0.704819\pi$
$720$	−1.49681	+	8.48886i	−0.0557830	+	0.316361i
$721$	−2.67640	+	2.24576i	−0.0996742	+	0.0836366i
$722$	−7.32715	+	6.14821i	−0.272688	+	0.228813i
$723$	−9.12036	+	51.7241i	−0.339190	+	1.92364i
$724$	−5.27162	+	1.91871i	−0.195918	+	0.0713084i
$725$	−5.79657	+	2.10978i	−0.215279	+	0.0783552i
$726$	17.9865	+	31.1535i	0.667542	+	1.15622i
$727$	−8.96537	−	50.8452i	−0.332507	−	1.88574i	−0.450577	−	0.892737i	$-0.648782\pi$
$727$	−8.96537	−	50.8452i	−0.332507	−	1.88574i	0.118070	−	0.993005i	$-0.462329\pi$
$728$	4.62952	+	3.88463i	0.171581	+	0.143974i
$729$	−72.0383	+	124.774i	−2.66808	+	4.62126i
$730$	4.21715	+	7.30432i	0.156084	+	0.270345i
$731$	4.09917	−	23.2475i	0.151613	−	0.859841i
$732$	−19.3189	+	33.4614i	−0.714048	+	1.23677i
$733$	18.4790	+	6.72580i	0.682537	+	0.248423i	0.659936	−	0.751322i	$-0.270583\pi$
$733$	18.4790	+	6.72580i	0.682537	+	0.248423i	0.0226003	+	0.999745i	$0.492805\pi$
$734$	12.5814			0.464390
$735$	7.44167	+	2.70854i	0.274490	+	0.0999062i
$736$	−1.21987	−	6.91821i	−0.0449649	−	0.255009i
$737$	2.69483	−	2.26123i	0.0992653	−	0.0832935i
$738$	−19.8550	−	16.6603i	−0.730872	−	0.613274i
$739$	−27.0339			−0.994458			−0.497229	−	0.867619i	$-0.665649\pi$
$739$	−27.0339			−0.994458			−0.497229	+	0.867619i	$0.665649\pi$
$740$	4.10797	+	4.48604i	0.151012	+	0.164910i
$741$	−20.7239			−0.761312
$742$	−33.1877	−	27.8478i	−1.21836	−	1.02233i
$743$	−4.38510	+	3.67953i	−0.160874	+	0.134989i	−0.719671	−	0.694315i	$-0.755707\pi$
$743$	−4.38510	+	3.67953i	−0.160874	+	0.134989i	0.558797	+	0.829304i	$0.311263\pi$
$744$	2.36969	+	13.4392i	0.0868770	+	0.492704i
$745$	−5.65690	−	2.05894i	−0.207253	−	0.0754338i
$746$	2.58276			0.0945617
$747$	−146.475	−	53.3124i	−5.35922	−	1.95060i
$748$	0.849367	−	1.47115i	0.0310559	−	0.0537904i
$749$	3.76977	−	21.3794i	0.137744	−	0.781188i
$750$	1.70439	+	2.95209i	0.0622356	+	0.107795i
$751$	3.37477	−	5.84527i	0.123147	−	0.213297i	−0.797860	−	0.602843i	$-0.794035\pi$
$751$	3.37477	−	5.84527i	0.123147	−	0.213297i	0.921007	+	0.389546i	$0.127368\pi$
$752$	4.06192	+	3.40836i	0.148123	+	0.124290i
$753$	−7.39325	−	41.9292i	−0.269425	−	1.52798i
$754$	−6.10457	−	10.5734i	−0.222315	−	0.385061i
$755$	−20.8289	+	7.58108i	−0.758040	+	0.275904i
$756$	−54.9654	+	20.0058i	−1.99907	+	0.727603i
$757$	5.43665	−	30.8328i	0.197599	−	1.12064i	−0.711071	−	0.703120i	$-0.751789\pi$
$757$	5.43665	−	30.8328i	0.197599	−	1.12064i	0.908669	−	0.417517i	$-0.137099\pi$
$758$	−20.2301	+	16.9751i	−0.734790	+	0.616562i
$759$	−12.2641	+	10.2908i	−0.445158	+	0.373532i
$760$	0.533388	−	3.02499i	0.0193480	−	0.109728i
$761$	40.9405	−	14.9011i	1.48409	−	0.540165i	0.532205	−	0.846615i	$-0.321363\pi$
$761$	40.9405	−	14.9011i	1.48409	−	0.540165i	0.951887	+	0.306450i	$0.0991412\pi$
$762$	36.8462	−	13.4109i	1.33480	−	0.485827i
$763$	10.8162	+	18.7341i	0.391571	+	0.678221i
$764$	−0.171354	−	0.971795i	−0.00619936	−	0.0351583i
$765$	16.7779	+	14.0783i	0.606607	+	0.509003i
$766$	−15.7393	+	27.2612i	−0.568683	+	0.984988i
$767$	−4.60104	−	7.96924i	−0.166134	−	0.287752i
$768$	0.591929	−	3.35700i	0.0213594	−	0.121135i
$769$	4.22659	−	7.32067i	0.152415	−	0.263990i	−0.779700	−	0.626153i	$-0.784628\pi$
$769$	4.22659	−	7.32067i	0.152415	−	0.263990i	0.932115	+	0.362163i	$0.117962\pi$
$770$	1.91826	+	0.698189i	0.0691292	+	0.0251610i
$771$	25.6222			0.922761
$772$	17.1838	+	6.25438i	0.618457	+	0.225100i
$773$	3.94517	+	22.3742i	0.141898	+	0.804743i	0.969806	+	0.243879i	$0.0784200\pi$
$773$	3.94517	+	22.3742i	0.141898	+	0.804743i	−0.827908	+	0.560864i	$0.810469\pi$
$774$	−61.3466	+	51.4759i	−2.20506	+	1.85026i
$775$	3.06673	+	2.57329i	0.110160	+	0.0924354i
$776$	1.21796			0.0437221
$777$	−19.0581	+	60.3750i	−0.683706	+	2.16594i
$778$	−9.10041			−0.326266
$779$	7.07529	+	5.93688i	0.253499	+	0.212711i
$780$	−5.16836	+	4.33677i	−0.185057	+	0.155281i
$781$	−0.321855	−	1.82533i	−0.0115169	−	0.0653155i
$782$	−16.7731	−	6.10493i	−0.599806	−	0.218312i
$783$	118.170			4.22304
$784$	−2.18308	−	0.794578i	−0.0779673	−	0.0283778i
$785$	−11.4449	+	19.8231i	−0.408485	+	0.707518i
$786$	12.5889	−	71.3953i	0.449032	−	2.54659i
$787$	−6.04575	−	10.4716i	−0.215508	−	0.373271i	0.737922	−	0.674886i	$-0.235807\pi$
$787$	−6.04575	−	10.4716i	−0.215508	−	0.373271i	−0.953430	+	0.301616i	$0.902474\pi$
$788$	−3.57722	+	6.19592i	−0.127433	+	0.220721i
$789$	−52.6149	−	44.1492i	−1.87314	−	1.57175i
$790$	−2.26674	−	12.8553i	−0.0806469	−	0.457371i
$791$	13.7125	+	23.7507i	0.487559	+	0.844477i
$792$	−5.41530	+	1.97101i	−0.192424	+	0.0700367i
$793$	−21.0814	+	7.67299i	−0.748621	+	0.272476i
$794$	2.83362	−	16.0703i	0.100562	−	0.570313i
$795$	37.0506	−	31.0891i	1.31405	−	1.10262i
$796$	−17.2631	+	14.4855i	−0.611875	+	0.513424i
$797$	−6.10864	+	34.6438i	−0.216379	+	1.22715i	0.662118	+	0.749400i	$0.269658\pi$
$797$	−6.10864	+	34.6438i	−0.216379	+	1.22715i	−0.878497	+	0.477747i	$0.841453\pi$
$798$	30.0428	−	10.9347i	1.06350	−	0.387084i
$799$	12.6605	−	4.60803i	0.447895	−	0.163020i
$800$	−0.500000	−	0.866025i	−0.0176777	−	0.0306186i
$801$	5.03030	+	28.5283i	0.177737	+	1.00800i
$802$	−21.0139	−	17.6327i	−0.742025	−	0.622633i
$803$	−2.81941	+	4.88336i	−0.0994948	+	0.172330i
$804$	−8.96825	−	15.5335i	−0.316286	−	0.547823i
$805$	3.72473	−	21.1240i	0.131280	−	0.744523i
$806$	−3.96179	+	6.86202i	−0.139548	+	0.241704i
$807$	−44.6309	−	16.2443i	−1.57108	−	0.571827i
$808$	7.55202			0.265679
$809$	10.2370	+	3.72598i	0.359915	+	0.130999i	0.515647	−	0.856801i	$-0.327551\pi$
$809$	10.2370	+	3.72598i	0.359915	+	0.130999i	−0.155732	+	0.987799i	$0.549774\pi$
$810$	−6.84898	−	38.8425i	−0.240649	−	1.36479i
$811$	−31.8396	+	26.7166i	−1.11804	+	0.938145i	−0.998504	−	0.0546849i	$-0.982585\pi$
$811$	−31.8396	+	26.7166i	−1.11804	+	0.938145i	−0.119534	+	0.992830i	$0.538140\pi$
$812$	14.4285	+	12.1070i	0.506342	+	0.424871i
$813$	−5.60486			−0.196571
$814$	−1.22416	+	3.87806i	−0.0429067	+	0.135926i
$815$	7.54334			0.264232
$816$	−6.63498	−	5.56741i	−0.232271	−	0.194898i
$817$	21.8608	−	18.3434i	0.764812	−	0.641754i
$818$	3.86465	+	21.9175i	0.135124	+	0.766328i
$819$	−48.9514	−	17.8169i	−1.71050	−	0.622571i
$820$	3.00689			0.105005
$821$	−19.3288	−	7.03510i	−0.674579	−	0.245527i	−0.0180606	−	0.999837i	$-0.505749\pi$
$821$	−19.3288	−	7.03510i	−0.674579	−	0.245527i	−0.656518	+	0.754310i	$0.727971\pi$
$822$	−0.964069	+	1.66982i	−0.0336258	+	0.0582415i
$823$	5.07113	−	28.7598i	0.176768	−	1.00250i	−0.759314	−	0.650724i	$-0.774466\pi$
$823$	5.07113	−	28.7598i	0.176768	−	1.00250i	0.936083	−	0.351780i	$-0.114423\pi$
$824$	0.572116	+	0.990934i	0.0199306	+	0.0345208i
$825$	−1.13948	+	1.97365i	−0.0396718	+	0.0687135i
$826$	10.8748	+	9.12507i	0.378384	+	0.317502i
$827$	−9.50037	−	53.8792i	−0.330360	−	1.87357i	−0.468964	−	0.883217i	$-0.655373\pi$
$827$	−9.50037	−	53.8792i	−0.330360	−	1.87357i	0.138604	−	0.990348i	$-0.455738\pi$
$828$	30.2768	+	52.4410i	1.05219	+	1.82245i
$829$	6.63369	−	2.41447i	0.230398	−	0.0838579i	−0.224241	−	0.974534i	$-0.571990\pi$
$829$	6.63369	−	2.41447i	0.230398	−	0.0838579i	0.454639	+	0.890676i	$0.349768\pi$
$830$	16.9928	−	6.18486i	0.589828	−	0.214680i
$831$	2.20919	−	12.5290i	0.0766360	−	0.434625i
$832$	1.51619	−	1.27223i	0.0525644	−	0.0441068i
$833$	−4.52194	+	3.79436i	−0.156676	+	0.131467i
$834$	−6.15338	+	34.8975i	−0.213074	+	1.20840i
$835$	11.0180	−	4.01022i	0.381293	−	0.138779i
$836$	1.92973	−	0.702366i	0.0667413	−	0.0242918i
$837$	−38.3454	−	66.4161i	−1.32541	−	2.29568i
$838$	1.21966	+	6.91706i	0.0421326	+	0.238946i
$839$	14.7678	+	12.3916i	0.509840	+	0.427806i	0.861073	−	0.508482i	$-0.169793\pi$
$839$	14.7678	+	12.3916i	0.509840	+	0.427806i	−0.351233	+	0.936288i	$0.614238\pi$
$840$	5.20417	−	9.01389i	0.179561	−	0.311009i
$841$	−4.52570	−	7.83875i	−0.156059	−	0.270302i
$842$	2.71513	−	15.3983i	0.0935696	−	0.530660i
$843$	28.0811	−	48.6378i	0.967163	−	1.67518i
$844$	20.3798	+	7.41765i	0.701502	+	0.255326i
$845$	9.08259			0.312451
$846$	−42.9498	−	15.6324i	−1.47664	−	0.537454i
$847$	−5.59538	−	31.7330i	−0.192260	−	1.09036i
$848$	−10.8691	+	9.12030i	−0.373248	+	0.313192i
$849$	19.9501	+	16.7402i	0.684687	+	0.574521i
$850$	−2.54089			−0.0871519
$851$	42.3636	+	5.59154i	1.45221	+	0.191676i
$852$	−9.45042			−0.323766
$853$	3.78771	+	3.17826i	0.129689	+	0.108822i	0.705325	−	0.708884i	$-0.250801\pi$
$853$	3.78771	+	3.17826i	0.129689	+	0.108822i	−0.575636	+	0.817706i	$0.695246\pi$
$854$	26.5124	−	22.2466i	0.907237	−	0.761262i
$855$	4.59770	+	26.0749i	0.157238	+	0.891741i
$856$	−6.68111	−	2.43172i	−0.228356	−	0.0831146i
$857$	−1.62346			−0.0554563			−0.0277282	−	0.999616i	$-0.508827\pi$
$857$	−1.62346			−0.0554563			−0.0277282	+	0.999616i	$0.508827\pi$
$858$	−4.23861	−	1.54273i	−0.144704	−	0.0526679i
$859$	−3.14752	+	5.45167i	−0.107392	+	0.186008i	−0.914713	−	0.404104i	$-0.867583\pi$
$859$	−3.14752	+	5.45167i	−0.107392	+	0.186008i	0.807321	+	0.590113i	$0.200917\pi$
$860$	1.61328	−	9.14936i	0.0550123	−	0.311990i
$861$	15.6484	+	27.1038i	0.533295	+	0.923695i
$862$	−4.45377	+	7.71416i	−0.151696	+	0.262745i
$863$	−5.29197	−	4.44049i	−0.180141	−	0.151156i	0.548259	−	0.836309i	$-0.315291\pi$
$863$	−5.29197	−	4.44049i	−0.180141	−	0.151156i	−0.728399	+	0.685153i	$0.759735\pi$
$864$	3.32653	+	18.8657i	0.113171	+	0.641824i
$865$	8.45566	+	14.6456i	0.287501	+	0.497966i
$866$	11.1372	−	4.05362i	0.378458	−	0.137748i
$867$	33.7742	−	12.2928i	1.14703	−	0.417486i
$868$	2.12263	−	12.0380i	0.0720468	−	0.408597i
$869$	6.68535	−	5.60967i	0.226785	−	0.190295i
$870$	−16.1079	+	13.5161i	−0.546109	+	0.458240i
$871$	1.80846	−	10.2563i	0.0612772	−	0.347520i
$872$	6.65743	−	2.42311i	0.225449	−	0.0820567i
$873$	−9.86541	+	3.59072i	−0.333894	+	0.121527i
$874$	−10.7891	−	18.6873i	−0.364947	−	0.632106i
$875$	−0.530216	−	3.00700i	−0.0179246	−	0.101655i
$876$	22.0243	+	18.4806i	0.744133	+	0.624402i
$877$	12.1747	−	21.0872i	0.411110	−	0.712063i	−0.583902	−	0.811824i	$-0.698475\pi$
$877$	12.1747	−	21.0872i	0.411110	−	0.712063i	0.995011	+	0.0997615i	$0.0318080\pi$
$878$	0.297933	+	0.516035i	0.0100548	+	0.0174154i
$879$	0.0286144	−	0.162280i	0.000965138	−	0.00547357i
$880$	0.334279	−	0.578988i	0.0112685	−	0.0195177i
$881$	8.89645	+	3.23804i	0.299729	+	0.109092i	0.487507	−	0.873119i	$-0.337906\pi$
$881$	8.89645	+	3.23804i	0.299729	+	0.109092i	−0.187778	+	0.982211i	$0.560129\pi$
$882$	20.0255			0.674292
$883$	−23.2379	−	8.45790i	−0.782018	−	0.284631i	−0.0800039	−	0.996795i	$-0.525493\pi$
$883$	−23.2379	−	8.45790i	−0.782018	−	0.284631i	−0.702014	+	0.712163i	$0.747716\pi$
$884$	−0.873285	−	4.95264i	−0.0293717	−	0.166575i
$885$	−12.1406	+	10.1872i	−0.408102	+	0.342438i
$886$	19.8405	+	16.6482i	0.666554	+	0.559306i
$887$	31.2686			1.04990			0.524949	−	0.851134i	$-0.324084\pi$
$887$	31.2686			1.04990			0.524949	+	0.851134i	$0.324084\pi$
$888$	18.3888	+	9.58037i	0.617089	+	0.321496i
$889$	−35.1229			−1.17798
$890$	−2.57443	−	2.16020i	−0.0862949	−	0.0724101i
$891$	20.1999	−	16.9497i	0.676721	−	0.567836i
$892$	−2.24385	−	12.7255i	−0.0751297	−	0.426082i
$893$	15.3051	+	5.57060i	0.512165	+	0.186413i
$894$	−20.5207			−0.686315
$895$	0.689622	+	0.251002i	0.0230515	+	0.00839006i
$896$	−1.52670	+	2.64431i	−0.0510033	+	0.0883403i
$897$	−8.23022	+	46.6759i	−0.274799	+	1.55846i
$898$	−15.8540	−	27.4599i	−0.529054	−	0.916349i
$899$	−12.3474	+	21.3864i	−0.411810	+	0.713276i
$900$	6.60316	+	5.54071i	0.220105	+	0.184690i
$901$	6.26034	+	35.5041i	0.208562	+	1.18281i
$902$	1.00514	+	1.74095i	0.0334675	+	0.0579674i
$903$	90.8671	−	33.0729i	3.02387	−	1.10060i
$904$	8.44012	−	3.07195i	0.280714	−	0.102172i
$905$	−0.974156	+	5.52472i	−0.0323821	+	0.183648i
$906$	−57.8806	+	48.5676i	−1.92295	+	1.61355i
$907$	−32.9100	+	27.6147i	−1.09276	+	0.916933i	−0.996917	−	0.0784641i	$-0.974998\pi$
$907$	−32.9100	+	27.6147i	−1.09276	+	0.916933i	−0.0958407	+	0.995397i	$0.530554\pi$
$908$	0.552831	−	3.13526i	0.0183463	−	0.104047i
$909$	−61.1711	+	22.2645i	−2.02892	+	0.738466i
$910$	5.67894	−	2.06697i	0.188255	−	0.0685193i
$911$	25.0360	+	43.3636i	0.829480	+	1.43670i	0.898447	+	0.439082i	$0.144696\pi$
$911$	25.0360	+	43.3636i	0.829480	+	1.43670i	−0.0689676	+	0.997619i	$0.521971\pi$
$912$	−1.81820	−	10.3115i	−0.0602067	−	0.341449i
$913$	9.26129	+	7.77115i	0.306504	+	0.257187i
$914$	1.17114	−	2.02847i	0.0387378	−	0.0670958i
$915$	19.3189	+	33.4614i	0.638664	+	1.10620i
$916$	−0.409167	+	2.32050i	−0.0135192	+	0.0766715i
$917$	−32.4692	+	56.2382i	−1.07223	+	1.85715i
$918$	45.7397	+	16.6479i	1.50963	+	0.549462i
$919$	29.5736			0.975542			0.487771	−	0.872972i	$-0.337810\pi$
$919$	29.5736			0.975542			0.487771	+	0.872972i	$0.337810\pi$
$920$	−6.60128	−	2.40267i	−0.217638	−	0.0792137i
$921$	−6.52131	−	36.9842i	−0.214884	−	1.21867i
$922$	−10.6709	+	8.95398i	−0.351429	+	0.294884i
$923$	−4.20344	−	3.52710i	−0.138358	−	0.116096i
$924$	6.95858			0.228921
$925$	5.93901	−	1.31458i	0.195274	−	0.0432233i
$926$	10.5830			0.347779
$927$	−7.55555	−	6.33986i	−0.248157	−	0.208228i
$928$	4.72541	−	3.96509i	0.155119	−	0.130160i
$929$	−7.25541	−	41.1475i	−0.238042	−	1.35000i	−0.836111	−	0.548560i	$-0.815176\pi$
$929$	−7.25541	−	41.1475i	−0.238042	−	1.35000i	0.598069	−	0.801445i	$-0.295935\pi$
$930$	12.8235	+	4.66738i	0.420500	+	0.153049i
$931$	−7.13605			−0.233874
$932$	4.25536	+	1.54883i	0.139389	+	0.0507335i
$933$	19.4292	−	33.6523i	0.636082	−	1.10173i
$934$	−4.48374	+	25.4286i	−0.146712	+	0.832048i
$935$	−0.849367	−	1.47115i	−0.0277773	−	0.0481116i
$936$	−8.53036	+	14.7750i	−0.278823	+	0.482936i
$937$	27.2032	+	22.8262i	0.888688	+	0.745698i	0.967947	−	0.251156i	$-0.0808108\pi$
$937$	27.2032	+	22.8262i	0.888688	+	0.745698i	−0.0792583	+	0.996854i	$0.525255\pi$
$938$	2.78991	+	15.8224i	0.0910939	+	0.516619i
$939$	51.0561	+	88.4317i	1.66615	+	2.88586i
$940$	4.98268	−	1.81355i	0.162517	−	0.0591514i
$941$	11.9410	−	4.34618i	0.389266	−	0.141681i	−0.139970	−	0.990156i	$-0.544701\pi$
$941$	11.9410	−	4.34618i	0.389266	−	0.141681i	0.529236	+	0.848474i	$0.322478\pi$
$942$	−13.5491	+	76.8409i	−0.441454	+	2.50361i
$943$	16.1813	−	13.5777i	0.526936	−	0.442152i
$944$	3.56156	−	2.98851i	0.115919	−	0.0972676i
$945$	−10.1572	+	57.6043i	−0.330413	+	1.87387i
$946$	5.83665	−	2.12437i	0.189766	−	0.0690692i
$947$	−13.6638	+	4.97323i	−0.444015	+	0.161608i	−0.554345	−	0.832287i	$-0.687031\pi$
$947$	−13.6638	+	4.97323i	−0.444015	+	0.161608i	0.110330	+	0.993895i	$0.464809\pi$
$948$	−22.2485	−	38.5355i	−0.722597	−	1.25158i
$949$	2.89881	+	16.4399i	0.0940992	+	0.533663i
$950$	−2.35303	−	1.97442i	−0.0763422	−	0.0640588i
$951$	21.0481	−	36.4564i	0.682533	−	1.18218i
$952$	3.87917	+	6.71891i	0.125725	+	0.217761i
$953$	6.54908	−	37.1417i	0.212146	−	1.20314i	−0.673646	−	0.739054i	$-0.735273\pi$
$953$	6.54908	−	37.1417i	0.212146	−	1.20314i	0.885792	−	0.464083i	$-0.153616\pi$
$954$	61.1518	−	105.918i	1.97986	−	3.42922i
$955$	−0.927276	−	0.337501i	−0.0300060	−	0.0109213i
$956$	9.01944			0.291710
$957$	−13.2102	−	4.80812i	−0.427025	−	0.155425i
$958$	−1.69829	−	9.63147i	−0.0548692	−	0.311179i
$959$	1.32305	−	1.11017i	0.0427234	−	0.0358492i
$960$	−2.61128	−	2.19112i	−0.0842787	−	0.0707182i
$961$	−14.9733			−0.483010
$962$	4.60355	+	11.1244i	0.148424	+	0.358664i
$963$	61.2859			1.97491
$964$	−11.8031	−	9.90398i	−0.380152	−	0.318986i
$965$	14.0083	−	11.7544i	0.450944	−	0.378387i
$966$	−12.6968	−	72.0072i	−0.408513	−	2.31679i
$967$	−16.9809	−	6.18056i	−0.546070	−	0.198753i	0.0542294	−	0.998529i	$-0.482730\pi$
$967$	−16.9809	−	6.18056i	−0.546070	−	0.198753i	−0.600300	+	0.799775i	$0.704952\pi$
$968$	−10.5530			−0.339187
$969$	−25.0002	−	9.09935i	−0.803124	−	0.292313i
$970$	0.608978	−	1.05478i	0.0195531	−	0.0338670i
$971$	−5.90025	+	33.4620i	−0.189348	+	1.07385i	0.730893	+	0.682492i	$0.239104\pi$
$971$	−5.90025	+	33.4620i	−0.189348	+	1.07385i	−0.920241	+	0.391353i	$0.872007\pi$
$972$	−38.4890	−	66.6650i	−1.23454	−	2.13828i
$973$	15.8707	−	27.4889i	0.508791	−	0.881252i
$974$	−15.4418	−	12.9572i	−0.494786	−	0.415175i
$975$	1.17157	+	6.64432i	0.0375204	+	0.212789i
$976$	−5.66739	−	9.81622i	−0.181409	−	0.314209i
$977$	29.9995	−	10.9189i	0.959768	−	0.349327i	0.185825	−	0.982583i	$-0.440504\pi$
$977$	29.9995	−	10.9189i	0.959768	−	0.349327i	0.773943	+	0.633256i	$0.218282\pi$
$978$	24.1629	−	8.79458i	0.772644	−	0.281220i
$979$	0.390154	−	2.21267i	0.0124694	−	0.0707173i
$980$	−1.77967	+	1.49332i	−0.0568494	+	0.0477023i
$981$	−46.7813	+	39.2542i	−1.49361	+	1.25329i
$982$	0.287461	−	1.63027i	0.00917326	−	0.0520242i
$983$	21.6195	−	7.86885i	0.689554	−	0.250977i	0.0266100	−	0.999646i	$-0.491529\pi$
$983$	21.6195	−	7.86885i	0.689554	−	0.250977i	0.662944	+	0.748669i	$0.269307\pi$
$984$	9.63170	−	3.50565i	0.307047	−	0.111756i
$985$	3.57722	+	6.19592i	0.113980	+	0.197419i
$986$	−2.72171	−	15.4356i	−0.0866769	−	0.491569i
$987$	42.2779	+	35.4754i	1.34572	+	1.12919i
$988$	3.03978	−	5.26505i	0.0967083	−	0.167504i
$989$	−32.6326	−	56.5213i	−1.03766	−	1.79727i
$990$	−1.00071	+	5.67529i	−0.0318046	+	0.180373i
$991$	−0.682277	+	1.18174i	−0.0216732	+	0.0375392i	−0.876659	−	0.481113i	$-0.840233\pi$
$991$	−0.682277	+	1.18174i	−0.0216732	+	0.0375392i	0.854985	+	0.518652i	$0.173566\pi$
$992$	−3.76190	−	1.36922i	−0.119441	−	0.0434728i
$993$	−28.8140			−0.914385
$994$	7.95462	+	2.89525i	0.252305	+	0.0918316i
$995$	3.91323	+	22.1930i	0.124058	+	0.703566i
$996$	47.2207	−	39.6228i	1.49624	−	1.25550i
$997$	−24.1425	−	20.2579i	−0.764600	−	0.641576i	0.174720	−	0.984618i	$-0.444098\pi$
$997$	−24.1425	−	20.2579i	−0.764600	−	0.641576i	−0.939320	+	0.343043i	$0.888543\pi$
$998$	−33.5867			−1.06317
$999$	−115.524	−	15.2479i	−3.65501	−	0.482423i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.o.d.71.4	✓	24
37.12	even	9	inner	370.2.o.d.271.4	yes	24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.o.d.71.4	✓	24	1.1	even	1	trivial
370.2.o.d.271.4	yes	24	37.12	even	9	inner

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)

\(f(q)\)	\(=\)	\(q+(0.766044 + 0.642788i) q^{2} +(2.61128 - 2.19112i) q^{3} +(0.173648 + 0.984808i) q^{4} +(0.939693 + 0.342020i) q^{5} +3.40878 q^{6} +(-2.86925 - 1.04432i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(1.49681 - 8.48886i) q^{9} +O(q^{10})\)	\(q+(0.766044 + 0.642788i) q^{2} +(2.61128 - 2.19112i) q^{3} +(0.173648 + 0.984808i) q^{4} +(0.939693 + 0.342020i) q^{5} +3.40878 q^{6} +(-2.86925 - 1.04432i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(1.49681 - 8.48886i) q^{9} +(0.500000 + 0.866025i) q^{10} +(-0.334279 + 0.578988i) q^{11} +(2.61128 + 2.19112i) q^{12} +(0.343692 + 1.94918i) q^{13} +(-1.52670 - 2.64431i) q^{14} +(3.20321 - 1.16587i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(-0.441221 + 2.50229i) q^{17} +(6.60316 - 5.54071i) q^{18} +(-2.35303 + 1.97442i) q^{19} +(-0.173648 + 0.984808i) q^{20} +(-9.78065 + 3.55986i) q^{21} +(-0.628239 + 0.228660i) q^{22} +(3.51247 + 6.08377i) q^{23} +(0.591929 + 3.35700i) q^{24} +(0.766044 + 0.642788i) q^{25} +(-0.989622 + 1.71408i) q^{26} +(-9.57836 - 16.5902i) q^{27} +(0.530216 - 3.00700i) q^{28} +(-3.08429 + 5.34215i) q^{29} +(3.20321 + 1.16587i) q^{30} +4.00333 q^{31} +(-0.939693 - 0.342020i) q^{32} +(0.395739 + 2.24435i) q^{33} +(-1.94644 + 1.63325i) q^{34} +(-2.33903 - 1.96268i) q^{35} +8.61981 q^{36} +(3.70455 - 4.82455i) q^{37} -3.07166 q^{38} +(5.16836 + 4.33677i) q^{39} +(-0.766044 + 0.642788i) q^{40} +(-0.522141 - 2.96121i) q^{41} +(-9.78065 - 3.55986i) q^{42} -9.29050 q^{43} +(-0.628239 - 0.228660i) q^{44} +(4.30991 - 7.46497i) q^{45} +(-1.21987 + 6.91821i) q^{46} +(-2.65123 - 4.59207i) q^{47} +(-1.70439 + 2.95209i) q^{48} +(1.77967 + 1.49332i) q^{49} +(0.173648 + 0.984808i) q^{50} +(4.33068 + 7.50095i) q^{51} +(-1.85988 + 0.676942i) q^{52} +(13.3330 - 4.85281i) q^{53} +(3.32653 - 18.8657i) q^{54} +(-0.512145 + 0.429741i) q^{55} +(2.33903 - 1.96268i) q^{56} +(-1.81820 + 10.3115i) q^{57} +(-5.79657 + 2.10978i) q^{58} +(-4.36890 + 1.59015i) q^{59} +(1.70439 + 2.95209i) q^{60} +(1.96827 + 11.1626i) q^{61} +(3.06673 + 2.57329i) q^{62} +(-13.1598 + 22.7935i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-0.343692 + 1.94918i) q^{65} +(-1.13948 + 1.97365i) q^{66} +(-4.94452 - 1.79966i) q^{67} -2.54089 q^{68} +(22.5023 + 8.19018i) q^{69} +(-0.530216 - 3.00700i) q^{70} +(-2.12376 + 1.78205i) q^{71} +(6.60316 + 5.54071i) q^{72} +8.43431 q^{73} +(5.93901 - 1.31458i) q^{74} +3.40878 q^{75} +(-2.35303 - 1.97442i) q^{76} +(1.56378 - 1.31217i) q^{77} +(1.17157 + 6.64432i) q^{78} +(-12.2664 - 4.46460i) q^{79} -1.00000 q^{80} +(-37.0631 - 13.4899i) q^{81} +(1.50345 - 2.60404i) q^{82} +(3.14014 - 17.8086i) q^{83} +(-5.20417 - 9.01389i) q^{84} +(-1.27045 + 2.20048i) q^{85} +(-7.11694 - 5.97182i) q^{86} +(3.65136 + 20.7079i) q^{87} +(-0.334279 - 0.578988i) q^{88} +(-3.15800 + 1.14942i) q^{89} +(8.09997 - 2.94815i) q^{90} +(1.04943 - 5.95159i) q^{91} +(-5.38141 + 4.51554i) q^{92} +(10.4538 - 8.77180i) q^{93} +(0.920763 - 5.22190i) q^{94} +(-2.88641 + 1.05057i) q^{95} +(-3.20321 + 1.16587i) q^{96} +(-0.608978 - 1.05478i) q^{97} +(0.403418 + 2.28790i) q^{98} +(4.41459 + 3.70428i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q + 6 q^{6} - 9 q^{7} - 12 q^{8} + 12 q^{9}+O(q^{10}) \) 24 * q + 6 * q^6 - 9 * q^7 - 12 * q^8 + 12 * q^9	\( 24 q + 6 q^{6} - 9 q^{7} - 12 q^{8} + 12 q^{9} + 12 q^{10} - 3 q^{11} - 3 q^{14} + 6 q^{17} - 6 q^{18} - 18 q^{19} + 18 q^{21} + 3 q^{22} + 15 q^{23} - 6 q^{26} - 12 q^{27} + 9 q^{28} - 18 q^{29} - 6 q^{31} - 45 q^{33} - 3 q^{34} + 30 q^{36} - 18 q^{37} - 24 q^{38} + 12 q^{39} + 3 q^{41} + 18 q^{42} + 3 q^{44} + 15 q^{45} + 9 q^{46} - 36 q^{47} - 3 q^{48} - 15 q^{49} + 54 q^{51} - 9 q^{52} - 6 q^{53} + 45 q^{54} - 3 q^{55} + 3 q^{57} - 15 q^{58} - 9 q^{59} + 3 q^{60} - 24 q^{61} + 81 q^{62} - 45 q^{63} - 12 q^{64} - 3 q^{66} + 12 q^{67} + 12 q^{68} + 60 q^{69} - 9 q^{70} + 42 q^{71} - 6 q^{72} - 42 q^{73} + 12 q^{74} + 6 q^{75} - 18 q^{76} + 9 q^{77} + 30 q^{78} - 6 q^{79} - 24 q^{80} - 66 q^{81} - 24 q^{82} - 3 q^{83} - 42 q^{84} + 6 q^{85} - 18 q^{86} - 84 q^{87} - 3 q^{88} + 27 q^{89} + 6 q^{90} + 153 q^{91} - 9 q^{92} - 54 q^{93} - 21 q^{94} - 9 q^{95} - 9 q^{97} - 24 q^{98} + 165 q^{99}+O(q^{100}) \) 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

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