LMFDB - Embedded newform 370.2.o.c.81.1

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			81.1
Character	$\chi$	$=$	370.81
Dual form			370.2.o.c.201.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.939693 - 0.342020i) q^{2} +(-2.67866 - 0.974954i) q^{3} +(0.766044 - 0.642788i) q^{4} +(0.173648 + 0.984808i) q^{5} -2.85057 q^{6} +(-0.751904 - 4.26426i) q^{7} +(0.500000 - 0.866025i) q^{8} +(3.92657 + 3.29478i) q^{9} +O(q^{10})$	\(q+(0.939693 - 0.342020i) q^{2} +(-2.67866 - 0.974954i) q^{3} +(0.766044 - 0.642788i) q^{4} +(0.173648 + 0.984808i) q^{5} -2.85057 q^{6} +(-0.751904 - 4.26426i) q^{7} +(0.500000 - 0.866025i) q^{8} +(3.92657 + 3.29478i) q^{9} +(0.500000 + 0.866025i) q^{10} +(-0.207621 + 0.359611i) q^{11} +(-2.67866 + 0.974954i) q^{12} +(-4.59538 + 3.85598i) q^{13} +(-2.16502 - 3.74993i) q^{14} +(0.494997 - 2.80727i) q^{15} +(0.173648 - 0.984808i) q^{16} +(-5.52741 - 4.63805i) q^{17} +(4.81665 + 1.75312i) q^{18} +(-5.60681 - 2.04071i) q^{19} +(0.766044 + 0.642788i) q^{20} +(-2.14336 + 12.1556i) q^{21} +(-0.0721061 + 0.408934i) q^{22} +(-0.487860 - 0.844998i) q^{23} +(-2.18367 + 1.83231i) q^{24} +(-0.939693 + 0.342020i) q^{25} +(-2.99942 + 5.19515i) q^{26} +(-3.02984 - 5.24783i) q^{27} +(-3.31701 - 2.78330i) q^{28} +(1.94662 - 3.37164i) q^{29} +(-0.494997 - 2.80727i) q^{30} +4.56006 q^{31} +(-0.173648 - 0.984808i) q^{32} +(0.906751 - 0.760855i) q^{33} +(-6.78038 - 2.46786i) q^{34} +(4.06891 - 1.48096i) q^{35} +5.12577 q^{36} +(5.40971 + 2.78119i) q^{37} -5.96665 q^{38} +(16.0689 - 5.84859i) q^{39} +(0.939693 + 0.342020i) q^{40} +(3.78411 - 3.17525i) q^{41} +(2.14336 + 12.1556i) q^{42} +0.692688 q^{43} +(0.0721061 + 0.408934i) q^{44} +(-2.56289 + 4.43905i) q^{45} +(-0.747444 - 0.627180i) q^{46} +(-0.577895 - 1.00094i) q^{47} +(-1.42529 + 2.46867i) q^{48} +(-11.0407 + 4.01849i) q^{49} +(-0.766044 + 0.642788i) q^{50} +(10.2842 + 17.8128i) q^{51} +(-1.04169 + 5.90770i) q^{52} +(1.05353 - 5.97484i) q^{53} +(-4.64198 - 3.89508i) q^{54} +(-0.390200 - 0.142021i) q^{55} +(-4.06891 - 1.48096i) q^{56} +(13.0292 + 10.9328i) q^{57} +(0.676053 - 3.83409i) q^{58} +(0.996903 - 5.65372i) q^{59} +(-1.42529 - 2.46867i) q^{60} +(-7.62204 + 6.39565i) q^{61} +(4.28506 - 1.55963i) q^{62} +(11.0974 - 19.2213i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-4.59538 - 3.85598i) q^{65} +(0.591840 - 1.02510i) q^{66} +(-1.91375 - 10.8534i) q^{67} -7.21553 q^{68} +(0.482978 + 2.73910i) q^{69} +(3.31701 - 2.78330i) q^{70} +(-4.24992 - 1.54684i) q^{71} +(4.81665 - 1.75312i) q^{72} +16.3406 q^{73} +(6.03469 + 0.763236i) q^{74} +2.85057 q^{75} +(-5.60681 + 2.04071i) q^{76} +(1.68958 + 0.614959i) q^{77} +(13.0995 - 10.9918i) q^{78} +(0.498245 + 2.82569i) q^{79} +1.00000 q^{80} +(0.329278 + 1.86743i) q^{81} +(2.46990 - 4.27800i) q^{82} +(9.44869 + 7.92839i) q^{83} +(6.17156 + 10.6894i) q^{84} +(3.60776 - 6.24883i) q^{85} +(0.650914 - 0.236913i) q^{86} +(-8.50153 + 7.13363i) q^{87} +(0.207621 + 0.359611i) q^{88} +(1.83553 - 10.4098i) q^{89} +(-0.890081 + 5.04790i) q^{90} +(19.8982 + 16.6966i) q^{91} +(-0.916876 - 0.333716i) q^{92} +(-12.2149 - 4.44585i) q^{93} +(-0.885386 - 0.742927i) q^{94} +(1.03610 - 5.87600i) q^{95} +(-0.494997 + 2.80727i) q^{96} +(-3.75971 - 6.51200i) q^{97} +(-9.00047 + 7.55229i) q^{98} +(-2.00008 + 0.727969i) 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 $\left(\mathbb{Z}/370\mathbb{Z}\right)^\times$.

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{8}{9}\right)$	$1$

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 $

$2$	0.939693	−	0.342020i	0.664463	−	0.241845i
$2$	0.939693	−	0.342020i	0.664463	−	0.241845i
$3$	−2.67866	−	0.974954i	−1.54653	−	0.562890i	−0.578927	−	0.815379i	$-0.696529\pi$
$3$	−2.67866	−	0.974954i	−1.54653	−	0.562890i	−0.967600	+	0.252489i	$0.918751\pi$
$4$	0.766044	−	0.642788i	0.383022	−	0.321394i
$5$	0.173648	+	0.984808i	0.0776578	+	0.440419i
$5$	0.173648	+	0.984808i	0.0776578	+	0.440419i
$6$	−2.85057			−1.16374
$7$	−0.751904	−	4.26426i	−0.284193	−	1.61174i	−0.708153	−	0.706059i	$-0.750472\pi$
$7$	−0.751904	−	4.26426i	−0.284193	−	1.61174i	0.423960	−	0.905681i	$-0.360640\pi$
$8$	0.500000	−	0.866025i	0.176777	−	0.306186i
$9$	3.92657	+	3.29478i	1.30886	+	1.09826i
$10$	0.500000	+	0.866025i	0.158114	+	0.273861i
$11$	−0.207621	+	0.359611i	−0.0626002	+	0.108427i	−0.895627	−	0.444806i	$-0.853273\pi$
$11$	−0.207621	+	0.359611i	−0.0626002	+	0.108427i	0.833027	+	0.553233i	$0.186606\pi$
$12$	−2.67866	+	0.974954i	−0.773264	+	0.281445i
$13$	−4.59538	+	3.85598i	−1.27453	+	1.06946i	−0.280554	+	0.959838i	$0.590518\pi$
$13$	−4.59538	+	3.85598i	−1.27453	+	1.06946i	−0.993974	+	0.109618i	$0.965037\pi$
$14$	−2.16502	−	3.74993i	−0.578627	−	1.00221i
$15$	0.494997	−	2.80727i	0.127808	−	0.724833i
$16$	0.173648	−	0.984808i	0.0434120	−	0.246202i
$17$	−5.52741	−	4.63805i	−1.34059	−	1.12489i	−0.981473	−	0.191602i	$-0.938632\pi$
$17$	−5.52741	−	4.63805i	−1.34059	−	1.12489i	−0.359122	−	0.933291i	$-0.616924\pi$
$18$	4.81665	+	1.75312i	1.13530	+	0.413214i
$19$	−5.60681	−	2.04071i	−1.28629	−	0.468172i	−0.393783	−	0.919203i	$-0.628834\pi$
$19$	−5.60681	−	2.04071i	−1.28629	−	0.468172i	−0.892508	+	0.451032i	$0.851056\pi$
$20$	0.766044	+	0.642788i	0.171293	+	0.143732i
$21$	−2.14336	+	12.1556i	−0.467719	+	2.65257i
$22$	−0.0721061	+	0.408934i	−0.0153731	+	0.0871850i
$23$	−0.487860	−	0.844998i	−0.101726	−	0.176194i	0.810670	−	0.585503i	$-0.199103\pi$
$23$	−0.487860	−	0.844998i	−0.101726	−	0.176194i	−0.912396	+	0.409309i	$0.865770\pi$
$24$	−2.18367	+	1.83231i	−0.445739	+	0.374019i
$25$	−0.939693	+	0.342020i	−0.187939	+	0.0684040i
$26$	−2.99942	+	5.19515i	−0.588234	+	1.01885i
$27$	−3.02984	−	5.24783i	−0.583093	−	1.00995i
$28$	−3.31701	−	2.78330i	−0.626855	−	0.525994i
$29$	1.94662	−	3.37164i	0.361478	−	0.626098i	−0.626726	−	0.779239i	$-0.715606\pi$
$29$	1.94662	−	3.37164i	0.361478	−	0.626098i	0.988204	+	0.153141i	$0.0489389\pi$
$30$	−0.494997	−	2.80727i	−0.0903737	−	0.512535i
$31$	4.56006			0.819012			0.409506	−	0.912308i	$-0.365701\pi$
$31$	4.56006			0.819012			0.409506	+	0.912308i	$0.365701\pi$
$32$	−0.173648	−	0.984808i	−0.0306970	−	0.174091i
$33$	0.906751	−	0.760855i	0.157845	−	0.132448i
$34$	−6.78038	−	2.46786i	−1.16283	−	0.423234i
$35$	4.06891	−	1.48096i	0.687771	−	0.250328i
$36$	5.12577			0.854296
$37$	5.40971	+	2.78119i	0.889351	+	0.457225i
$37$	5.40971	+	2.78119i	0.889351	+	0.457225i
$38$	−5.96665			−0.967918
$39$	16.0689	−	5.84859i	2.57308	−	0.936524i
$40$	0.939693	+	0.342020i	0.148578	+	0.0540781i
$41$	3.78411	−	3.17525i	0.590979	−	0.495890i	−0.297553	−	0.954705i	$-0.596170\pi$
$41$	3.78411	−	3.17525i	0.590979	−	0.495890i	0.888532	+	0.458815i	$0.151726\pi$
$42$	2.14336	+	12.1556i	0.330727	+	1.87565i
$43$	0.692688			0.105634			0.0528170	−	0.998604i	$-0.483180\pi$
$43$	0.692688			0.105634			0.0528170	+	0.998604i	$0.483180\pi$
$44$	0.0721061	+	0.408934i	0.0108704	+	0.0616491i
$45$	−2.56289	+	4.43905i	−0.382053	+	0.661735i
$46$	−0.747444	−	0.627180i	−0.110205	−	0.0924727i
$47$	−0.577895	−	1.00094i	−0.0842946	−	0.146003i	0.820796	−	0.571222i	$-0.193530\pi$
$47$	−0.577895	−	1.00094i	−0.0842946	−	0.146003i	−0.905090	+	0.425219i	$0.860197\pi$
$48$	−1.42529	+	2.46867i	−0.205722	+	0.356322i
$49$	−11.0407	+	4.01849i	−1.57725	+	0.574070i
$50$	−0.766044	+	0.642788i	−0.108335	+	0.0909039i
$51$	10.2842	+	17.8128i	1.44008	+	2.49428i
$52$	−1.04169	+	5.90770i	−0.144456	+	0.819251i
$53$	1.05353	−	5.97484i	0.144713	−	0.820708i	−0.822884	−	0.568209i	$-0.807636\pi$
$53$	1.05353	−	5.97484i	0.144713	−	0.820708i	0.967597	−	0.252499i	$-0.0812524\pi$
$54$	−4.64198	−	3.89508i	−0.631694	−	0.530054i
$55$	−0.390200	−	0.142021i	−0.0526146	−	0.0191502i
$56$	−4.06891	−	1.48096i	−0.543731	−	0.197902i
$57$	13.0292	+	10.9328i	1.72575	+	1.44808i
$58$	0.676053	−	3.83409i	0.0887702	−	0.503441i
$59$	0.996903	−	5.65372i	0.129786	−	0.736051i	−0.848564	−	0.529093i	$-0.822532\pi$
$59$	0.996903	−	5.65372i	0.129786	−	0.736051i	0.978350	−	0.206959i	$-0.0663566\pi$
$60$	−1.42529	−	2.46867i	−0.184004	−	0.318704i
$61$	−7.62204	+	6.39565i	−0.975902	+	0.818879i	−0.983466	−	0.181093i	$-0.942037\pi$
$61$	−7.62204	+	6.39565i	−0.975902	+	0.818879i	0.00756422	+	0.999971i	$0.497592\pi$
$62$	4.28506	−	1.55963i	0.544203	−	0.198074i
$63$	11.0974	−	19.2213i	1.39814	−	2.42165i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	−4.59538	−	3.85598i	−0.569986	−	0.478275i
$66$	0.591840	−	1.02510i	0.0728505	−	0.126181i
$67$	−1.91375	−	10.8534i	−0.233802	−	1.32596i	−0.845122	−	0.534574i	$-0.820472\pi$
$67$	−1.91375	−	10.8534i	−0.233802	−	1.32596i	0.611320	−	0.791384i	$-0.290639\pi$
$68$	−7.21553			−0.875011
$69$	0.482978	+	2.73910i	0.0581437	+	0.329749i
$70$	3.31701	−	2.78330i	0.396458	−	0.332668i
$71$	−4.24992	−	1.54684i	−0.504373	−	0.183577i	0.0772870	−	0.997009i	$-0.475374\pi$
$71$	−4.24992	−	1.54684i	−0.504373	−	0.183577i	−0.581660	+	0.813432i	$0.697596\pi$
$72$	4.81665	−	1.75312i	0.567648	−	0.206607i
$73$	16.3406			1.91253			0.956264	−	0.292506i	$-0.0944892\pi$
$73$	16.3406			1.91253			0.956264	+	0.292506i	$0.0944892\pi$
$74$	6.03469	+	0.763236i	0.701518	+	0.0887244i
$75$	2.85057			0.329156
$76$	−5.60681	+	2.04071i	−0.643146	+	0.234086i
$77$	1.68958	+	0.614959i	0.192546	+	0.0700810i
$78$	13.0995	−	10.9918i	1.48322	−	1.24457i
$79$	0.498245	+	2.82569i	0.0560570	+	0.317915i	0.999923	−	0.0124138i	$-0.00395154\pi$
$79$	0.498245	+	2.82569i	0.0560570	+	0.317915i	−0.943866	+	0.330329i	$0.892840\pi$
$80$	1.00000			0.111803
$81$	0.329278	+	1.86743i	0.0365864	+	0.207492i
$82$	2.46990	−	4.27800i	0.272755	−	0.472426i
$83$	9.44869	+	7.92839i	1.03713	+	0.870254i	0.991682	−	0.128712i	$-0.0410844\pi$
$83$	9.44869	+	7.92839i	1.03713	+	0.870254i	0.0454468	+	0.998967i	$0.485529\pi$
$84$	6.17156	+	10.6894i	0.673372	+	1.16631i
$85$	3.60776	−	6.24883i	0.391317	−	0.677781i
$86$	0.650914	−	0.236913i	0.0701899	−	0.0255470i
$87$	−8.50153	+	7.13363i	−0.911460	+	0.764806i
$88$	0.207621	+	0.359611i	0.0221325	+	0.0383346i
$89$	1.83553	−	10.4098i	0.194565	−	1.10344i	−0.718471	−	0.695557i	$-0.755158\pi$
$89$	1.83553	−	10.4098i	0.194565	−	1.10344i	0.913036	−	0.407878i	$-0.133731\pi$
$90$	−0.890081	+	5.04790i	−0.0938228	+	0.532096i
$91$	19.8982	+	16.6966i	2.08590	+	1.75027i
$92$	−0.916876	−	0.333716i	−0.0955909	−	0.0347923i
$93$	−12.2149	−	4.44585i	−1.26662	−	0.461013i
$94$	−0.885386	−	0.742927i	−0.0913206	−	0.0766271i
$95$	1.03610	−	5.87600i	0.106301	−	0.602865i
$96$	−0.494997	+	2.80727i	−0.0505204	+	0.286516i
$97$	−3.75971	−	6.51200i	−0.381740	−	0.661193i	0.609571	−	0.792732i	$-0.291342\pi$
$97$	−3.75971	−	6.51200i	−0.381740	−	0.661193i	−0.991311	+	0.131538i	$0.958008\pi$
$98$	−9.00047	+	7.55229i	−0.909185	+	0.762897i
$99$	−2.00008	+	0.727969i	−0.201015	+	0.0731637i
$100$	−0.500000	+	0.866025i	−0.0500000	+	0.0866025i
$101$	−1.35568	−	2.34811i	−0.134895	−	0.233645i	0.790662	−	0.612253i	$-0.209736\pi$
$101$	−1.35568	−	2.34811i	−0.134895	−	0.233645i	−0.925557	+	0.378607i	$0.876403\pi$
$102$	15.7563	+	13.2211i	1.56011	+	1.30908i
$103$	4.34943	−	7.53343i	0.428562	−	0.742291i	−0.568184	−	0.822902i	$-0.692354\pi$
$103$	4.34943	−	7.53343i	0.428562	−	0.742291i	0.996746	+	0.0806108i	$0.0256871\pi$
$104$	1.04169	+	5.90770i	0.102146	+	0.579298i
$105$	−12.3431			−1.20456
$106$	−1.05353	−	5.97484i	−0.102328	−	0.580328i
$107$	−11.0401	+	9.26377i	−1.06729	+	0.895562i	−0.994804	−	0.101807i	$-0.967538\pi$
$107$	−11.0401	+	9.26377i	−1.06729	+	0.895562i	−0.0724856	+	0.997369i	$0.523093\pi$
$108$	−5.69423	−	2.07253i	−0.547928	−	0.199429i
$109$	8.50911	−	3.09706i	0.815025	−	0.296645i	0.0993269	−	0.995055i	$-0.468331\pi$
$109$	8.50911	−	3.09706i	0.815025	−	0.296645i	0.715698	+	0.698410i	$0.246109\pi$
$110$	−0.415243			−0.0395918
$111$	−11.7793	−	12.7241i	−1.11804	−	1.20772i
$112$	−4.33004			−0.409151
$113$	−7.52374	+	2.73842i	−0.707774	+	0.257609i	−0.670726	−	0.741705i	$-0.734017\pi$
$113$	−7.52374	+	2.73842i	−0.707774	+	0.257609i	−0.0370473	+	0.999314i	$0.511795\pi$
$114$	15.9826	+	5.81720i	1.49691	+	0.544831i
$115$	0.747444	−	0.627180i	0.0696995	−	0.0584849i
$116$	−0.676053	−	3.83409i	−0.0627700	−	0.355986i
$117$	−30.7487			−2.84272
$118$	−0.996903	−	5.65372i	−0.0917724	−	0.520467i
$119$	−15.6218	+	27.0577i	−1.43205	+	2.48038i
$120$	−2.18367	−	1.83231i	−0.199341	−	0.167267i
$121$	5.41379	+	9.37695i	0.492162	+	0.852450i
$122$	−4.97493	+	8.61683i	−0.450409	+	0.780131i
$123$	−13.2321	+	4.81608i	−1.19310	+	0.434252i
$124$	3.49321	−	2.93115i	0.313700	−	0.263225i
$125$	−0.500000	−	0.866025i	−0.0447214	−	0.0774597i
$126$	3.85409	−	21.8576i	0.343350	−	1.94723i
$127$	1.09433	−	6.20623i	0.0971057	−	0.550714i	−0.896976	−	0.442079i	$-0.854241\pi$
$127$	1.09433	−	6.20623i	0.0971057	−	0.550714i	0.994082	−	0.108635i	$-0.0346478\pi$
$128$	−0.766044	−	0.642788i	−0.0677094	−	0.0568149i
$129$	−1.85548	−	0.675339i	−0.163366	−	0.0594603i
$130$	−5.63706	−	2.05172i	−0.494403	−	0.179948i
$131$	−15.0481	−	12.6269i	−1.31476	−	1.10322i	−0.987388	−	0.158321i	$-0.949392\pi$
$131$	−15.0481	−	12.6269i	−1.31476	−	1.10322i	−0.327374	−	0.944895i	$-0.606164\pi$
$132$	0.205544	−	1.16570i	0.0178903	−	0.101461i
$133$	−4.48635	+	25.4433i	−0.389016	+	2.20622i
$134$	−5.51043	−	9.54435i	−0.476029	−	0.824506i
$135$	4.64198	−	3.89508i	0.399518	−	0.335235i
$136$	−6.78038	+	2.46786i	−0.581413	+	0.211617i
$137$	−4.19202	+	7.26080i	−0.358149	+	0.620332i	−0.987652	−	0.156666i	$-0.949925\pi$
$137$	−4.19202	+	7.26080i	−0.358149	+	0.620332i	0.629503	+	0.776998i	$0.283259\pi$
$138$	1.39068	+	2.40873i	0.118383	+	0.205045i
$139$	8.19778	+	6.87875i	0.695326	+	0.583448i	0.920440	−	0.390885i	$-0.127831\pi$
$139$	8.19778	+	6.87875i	0.695326	+	0.583448i	−0.225113	+	0.974333i	$0.572275\pi$
$140$	2.16502	−	3.74993i	0.182978	−	0.316927i
$141$	0.572112	+	3.24461i	0.0481806	+	0.273245i
$142$	−4.52267			−0.379534
$143$	−0.432553	−	2.45313i	−0.0361719	−	0.205141i
$144$	3.92657	−	3.29478i	0.327214	−	0.274565i
$145$	3.65845	+	1.33157i	0.303817	+	0.110580i
$146$	15.3552	−	5.58883i	1.27080	−	0.462535i
$147$	33.4922			2.76239
$148$	5.93179	−	1.34678i	0.487591	−	0.110704i
$149$	2.39548			0.196245			0.0981226	−	0.995174i	$-0.468716\pi$
$149$	2.39548			0.196245			0.0981226	+	0.995174i	$0.468716\pi$
$150$	2.67866	−	0.974954i	0.218712	−	0.0796046i
$151$	−15.3264	−	5.57835i	−1.24724	−	0.453960i	−0.367775	−	0.929915i	$-0.619880\pi$
$151$	−15.3264	−	5.57835i	−1.24724	−	0.453960i	−0.879470	+	0.475955i	$0.842103\pi$
$152$	−4.57072	+	3.83529i	−0.370734	+	0.311083i
$153$	−6.42240	−	36.4233i	−0.519221	−	2.94465i
$154$	1.79802			0.144888
$155$	0.791847	+	4.49079i	0.0636027	+	0.360709i
$156$	8.55007	−	14.8091i	0.684553	−	1.18568i
$157$	12.4302	+	10.4302i	0.992039	+	0.832420i	0.985862	−	0.167561i	$-0.0535891\pi$
$157$	12.4302	+	10.4302i	0.992039	+	0.832420i	0.00617765	+	0.999981i	$0.498034\pi$
$158$	1.43464	+	2.48487i	0.114134	+	0.197686i
$159$	−8.64724	+	14.9775i	−0.685771	+	1.18779i
$160$	0.939693	−	0.342020i	0.0742892	−	0.0270391i
$161$	−3.23647	+	2.71572i	−0.255069	+	0.214029i
$162$	0.948117	+	1.64219i	0.0744911	+	0.129022i
$163$	0.617888	−	3.50422i	0.0483967	−	0.274471i	−0.951000	−	0.309190i	$-0.899942\pi$
$163$	0.617888	−	3.50422i	0.0483967	−	0.274471i	0.999397	+	0.0347182i	$0.0110534\pi$
$164$	0.857788	−	4.86476i	0.0669820	−	0.379874i
$165$	0.906751	+	0.760855i	0.0705905	+	0.0592325i
$166$	11.5905	+	4.21861i	0.899600	+	0.327428i
$167$	−6.37647	−	2.32084i	−0.493426	−	0.179592i	0.0833089	−	0.996524i	$-0.473451\pi$
$167$	−6.37647	−	2.32084i	−0.493426	−	0.179592i	−0.576735	+	0.816931i	$0.695673\pi$
$168$	9.45537	+	7.93400i	0.729498	+	0.612121i
$169$	3.99149	−	22.6368i	0.307037	−	1.74130i
$170$	1.25296	−	7.10591i	0.0960979	−	0.544998i
$171$	−15.2918	−	26.4862i	−1.16940	−	2.02545i
$172$	0.530630	−	0.445251i	0.0404601	−	0.0339501i
$173$	−12.5193	+	4.55665i	−0.951825	+	0.346436i	−0.770825	−	0.637047i	$-0.780156\pi$
$173$	−12.5193	+	4.55665i	−0.951825	+	0.346436i	−0.181000	+	0.983483i	$0.557933\pi$
$174$	−5.54898	+	9.61112i	−0.420667	+	0.728617i
$175$	2.16502	+	3.74993i	0.163660	+	0.283468i
$176$	0.318094	+	0.266913i	0.0239773	+	0.0201193i
$177$	−8.18248	+	14.1725i	−0.615033	+	1.06527i
$178$	−1.83553	−	10.4098i	−0.137579	−	0.780247i
$179$	21.8885			1.63602			0.818012	−	0.575201i	$-0.195076\pi$
$179$	21.8885			1.63602			0.818012	+	0.575201i	$0.195076\pi$
$180$	0.890081	+	5.04790i	0.0663427	+	0.376248i
$181$	5.66838	−	4.75634i	0.421327	−	0.353536i	−0.407340	−	0.913276i	$-0.633544\pi$
$181$	5.66838	−	4.75634i	0.421327	−	0.353536i	0.828668	+	0.559741i	$0.189099\pi$
$182$	24.4087	+	8.88405i	1.80930	+	0.658530i
$183$	26.6523	−	9.70066i	1.97020	−	0.717093i
$184$	−0.975719			−0.0719310
$185$	−1.79955	+	5.81047i	−0.132306	+	0.427195i
$186$	−12.9988			−0.953118
$187$	2.81550	−	1.02476i	0.205890	−	0.0749378i
$188$	−1.08609	−	0.395303i	−0.0792110	−	0.0288305i
$189$	−20.1000	+	16.8659i	−1.46206	+	1.22681i
$190$	−1.03610	−	5.87600i	−0.0751664	−	0.426290i
$191$	−8.88596			−0.642966			−0.321483	−	0.946915i	$-0.604181\pi$
$191$	−8.88596			−0.642966			−0.321483	+	0.946915i	$0.604181\pi$
$192$	0.494997	+	2.80727i	0.0357233	+	0.202597i
$193$	−4.35202	+	7.53791i	−0.313265	+	0.542591i	−0.979067	−	0.203538i	$-0.934756\pi$
$193$	−4.35202	+	7.53791i	−0.313265	+	0.542591i	0.665802	+	0.746128i	$0.268089\pi$
$194$	−5.76020	−	4.83338i	−0.413558	−	0.347017i
$195$	8.55007	+	14.8091i	0.612283	+	1.06051i
$196$	−5.87464	+	10.1752i	−0.419617	+	0.726799i
$197$	15.7540	−	5.73398i	1.12242	−	0.408529i	0.286888	−	0.957964i	$-0.407379\pi$
$197$	15.7540	−	5.73398i	1.12242	−	0.408529i	0.835537	+	0.549435i	$0.185157\pi$
$198$	−1.63048	+	1.36813i	−0.115873	+	0.0972291i
$199$	0.621096	+	1.07577i	0.0440283	+	0.0762593i	0.887200	−	0.461385i	$-0.152647\pi$
$199$	0.621096	+	1.07577i	0.0440283	+	0.0762593i	−0.843171	+	0.537645i	$0.819314\pi$
$200$	−0.173648	+	0.984808i	−0.0122788	+	0.0696364i
$201$	−5.45529	+	30.9385i	−0.384787	+	2.18223i
$202$	−2.07702	−	1.74283i	−0.146139	−	0.122625i
$203$	−15.8412	−	5.76574i	−1.11184	−	0.404675i
$204$	19.3280	+	7.03481i	1.35323	+	0.492535i
$205$	3.78411	+	3.17525i	0.264294	+	0.221769i
$206$	1.51054	−	8.56670i	0.105244	−	0.596870i
$207$	0.868469	−	4.92533i	0.0603628	−	0.342334i
$208$	2.99942	+	5.19515i	0.207972	+	0.360219i
$209$	1.89796	−	1.59257i	0.131284	−	0.110161i
$210$	−11.5987	+	4.22159i	−0.800389	+	0.291318i
$211$	−7.71904	+	13.3698i	−0.531401	+	0.920413i	0.467928	+	0.883767i	$0.345001\pi$
$211$	−7.71904	+	13.3698i	−0.531401	+	0.920413i	−0.999328	+	0.0366462i	$0.988333\pi$
$212$	−3.03351	−	5.25419i	−0.208342	−	0.360859i
$213$	9.87600	+	8.28695i	0.676693	+	0.567812i
$214$	−7.20593	+	12.4810i	−0.492588	+	0.853187i
$215$	0.120284	+	0.682165i	0.00820330	+	0.0465232i
$216$	−6.05968			−0.412309
$217$	−3.42873	−	19.4453i	−0.232757	−	1.32003i
$218$	6.93669	−	5.82057i	0.469812	−	0.394219i
$219$	−43.7711	−	15.9314i	−2.95778	−	1.07654i
$220$	−0.390200	+	0.142021i	−0.0263073	+	0.00957508i
$221$	43.2848			2.91165
$222$	−15.4208	−	7.92800i	−1.03498	−	0.532092i
$223$	−5.82315			−0.389947			−0.194974	−	0.980809i	$-0.562462\pi$
$223$	−5.82315			−0.389947			−0.194974	+	0.980809i	$0.562462\pi$
$224$	−4.06891	+	1.48096i	−0.271866	+	0.0989510i
$225$	−4.81665	−	1.75312i	−0.321110	−	0.116875i
$226$	−6.13341	+	5.14654i	−0.407988	+	0.342343i
$227$	−2.35039	−	13.3297i	−0.156001	−	0.884724i	−0.957865	−	0.287218i	$-0.907270\pi$
$227$	−2.35039	−	13.3297i	−0.156001	−	0.884724i	0.801864	−	0.597506i	$-0.203842\pi$
$228$	17.0084			1.12641
$229$	2.12525	+	12.0529i	0.140440	+	0.796476i	0.970916	+	0.239421i	$0.0769576\pi$
$229$	2.12525	+	12.0529i	0.140440	+	0.796476i	−0.830476	+	0.557055i	$0.811931\pi$
$230$	0.487860	−	0.844998i	0.0321685	−	0.0557175i
$231$	−3.92627	−	3.29453i	−0.258330	−	0.216764i
$232$	−1.94662	−	3.37164i	−0.127802	−	0.221359i
$233$	1.58020	−	2.73698i	0.103522	−	0.179306i	−0.809611	−	0.586966i	$-0.800322\pi$
$233$	1.58020	−	2.73698i	0.103522	−	0.179306i	0.913133	+	0.407661i	$0.133655\pi$
$234$	−28.8943	+	10.5167i	−1.88888	+	0.687496i
$235$	0.885386	−	0.742927i	0.0577562	−	0.0484632i
$236$	−2.87047	−	4.97180i	−0.186852	−	0.323636i
$237$	1.42028	−	8.05484i	0.0922574	−	0.523218i
$238$	−5.42539	+	30.7689i	−0.351676	+	1.99445i
$239$	−6.70944	−	5.62988i	−0.433997	−	0.364167i	0.399460	−	0.916751i	$-0.369198\pi$
$239$	−6.70944	−	5.62988i	−0.433997	−	0.364167i	−0.833458	+	0.552584i	$0.813642\pi$
$240$	−2.67866	−	0.974954i	−0.172907	−	0.0629330i
$241$	1.42330	+	0.518039i	0.0916828	+	0.0333698i	0.387454	−	0.921889i	$-0.373354\pi$
$241$	1.42330	+	0.518039i	0.0916828	+	0.0333698i	−0.295772	+	0.955259i	$0.595577\pi$
$242$	8.29440	+	6.95983i	0.533184	+	0.447395i
$243$	−2.21812	+	12.5796i	−0.142293	+	0.806982i
$244$	−1.72778	+	9.79870i	−0.110609	+	0.627298i
$245$	−5.87464	−	10.1752i	−0.375317	−	0.650068i
$246$	−10.7869	+	9.05127i	−0.687747	+	0.577088i
$247$	33.6344	−	12.2419i	2.14010	−	0.778934i
$248$	2.28003	−	3.94913i	0.144782	−	0.250770i
$249$	−17.5801	−	30.4495i	−1.11409	−	1.92966i
$250$	−0.766044	−	0.642788i	−0.0484489	−	0.0406535i
$251$	6.47456	−	11.2143i	0.408671	−	0.707838i	−0.586070	−	0.810260i	$-0.699326\pi$
$251$	6.47456	−	11.2143i	0.408671	−	0.707838i	0.994741	+	0.102422i	$0.0326591\pi$
$252$	−3.85409	−	21.8576i	−0.242785	−	1.37690i
$253$	0.405160			0.0254722
$254$	−1.09433	−	6.20623i	−0.0686641	−	0.389413i
$255$	−15.7563	+	13.2211i	−0.986698	+	0.827938i
$256$	−0.939693	−	0.342020i	−0.0587308	−	0.0213763i
$257$	−17.7906	+	6.47525i	−1.10975	+	0.403915i	−0.830901	−	0.556421i	$-0.812174\pi$
$257$	−17.7906	+	6.47525i	−1.10975	+	0.403915i	−0.278846	+	0.960336i	$0.589952\pi$
$258$	−1.97456			−0.122931
$259$	7.79215	−	25.1596i	0.484180	−	1.56334i
$260$	−5.99884			−0.372032
$261$	18.7524	−	6.82530i	1.16074	−	0.422476i
$262$	−18.4593	−	6.71863i	−1.14042	−	0.415078i
$263$	9.24067	−	7.75384i	0.569804	−	0.478123i	−0.311777	−	0.950155i	$-0.600924\pi$
$263$	9.24067	−	7.75384i	0.569804	−	0.478123i	0.881581	+	0.472033i	$0.156480\pi$
$264$	−0.205544	−	1.16570i	−0.0126503	−	0.0717437i
$265$	6.06702			0.372694
$266$	4.48635	+	25.4433i	0.275076	+	1.56003i
$267$	−15.0658	+	26.0948i	−0.922013	+	1.59697i
$268$	−8.44247	−	7.08407i	−0.515706	−	0.432729i
$269$	−11.5687	−	20.0376i	−0.705356	−	1.22171i	−0.966563	−	0.256429i	$-0.917454\pi$
$269$	−11.5687	−	20.0376i	−0.705356	−	1.22171i	0.261208	−	0.965283i	$-0.415879\pi$
$270$	3.02984	−	5.24783i	0.184390	−	0.319373i
$271$	4.63746	−	1.68790i	0.281705	−	0.102532i	−0.197303	−	0.980342i	$-0.563218\pi$
$271$	4.63746	−	1.68790i	0.281705	−	0.102532i	0.479009	+	0.877810i	$0.340996\pi$
$272$	−5.52741	+	4.63805i	−0.335149	+	0.281223i
$273$	−37.0222	−	64.1243i	−2.24068	−	3.88098i
$274$	−1.45587	+	8.25667i	−0.0879526	+	0.498804i
$275$	0.0721061	−	0.408934i	0.00434816	−	0.0246597i
$276$	2.13065	+	1.78782i	0.128250	+	0.107614i
$277$	4.48396	+	1.63203i	0.269415	+	0.0980590i	0.473195	−	0.880958i	$-0.343101\pi$
$277$	4.48396	+	1.63203i	0.269415	+	0.0980590i	−0.203780	+	0.979017i	$0.565323\pi$
$278$	10.0561	+	3.66011i	0.603122	+	0.219519i
$279$	17.9054	+	15.0244i	1.07197	+	0.899489i
$280$	0.751904	−	4.26426i	0.0449349	−	0.254838i
$281$	2.14496	−	12.1647i	0.127957	−	0.725682i	−0.851550	−	0.524274i	$-0.824337\pi$
$281$	2.14496	−	12.1647i	0.127957	−	0.725682i	0.979507	−	0.201409i	$-0.0645520\pi$
$282$	1.64733	+	2.85326i	0.0980972	+	0.169909i
$283$	−19.1375	+	16.0583i	−1.13761	+	0.954564i	−0.999358	−	0.0358337i	$-0.988591\pi$
$283$	−19.1375	+	16.0583i	−1.13761	+	0.954564i	−0.138247	+	0.990398i	$0.544147\pi$
$284$	−4.24992	+	1.54684i	−0.252186	+	0.0917883i
$285$	−8.50418	+	14.7297i	−0.503744	+	0.872511i
$286$	−1.24549	−	2.15725i	−0.0736472	−	0.127561i
$287$	−16.3854	−	13.7490i	−0.967198	−	0.811575i
$288$	2.56289	−	4.43905i	0.151020	−	0.261574i
$289$	6.08877	+	34.5311i	0.358163	+	2.03124i
$290$	3.89324			0.228619
$291$	3.72209	+	21.1090i	0.218193	+	1.23743i
$292$	12.5177	−	10.5036i	0.732540	−	0.614674i
$293$	17.1812	+	6.25346i	1.00374	+	0.365331i	0.791025	−	0.611783i	$-0.209548\pi$
$293$	17.1812	+	6.25346i	1.00374	+	0.365331i	0.212714	+	0.977115i	$0.431770\pi$
$294$	31.4724	−	11.4550i	1.83551	−	0.668070i
$295$	5.74094			0.334250
$296$	5.11344	−	3.29435i	0.297213	−	0.191480i
$297$	2.51624			0.146007
$298$	2.25101	−	0.819301i	0.130398	−	0.0474609i
$299$	5.50019	+	2.00191i	0.318084	+	0.115773i
$300$	2.18367	−	1.83231i	0.126074	−	0.105789i
$301$	−0.520835	−	2.95380i	−0.0300204	−	0.170254i
$302$	−16.3100			−0.938536
$303$	1.34212	+	7.61152i	0.0771025	+	0.437270i
$304$	−2.98332	+	5.16727i	−0.171105	+	0.296363i
$305$	−7.62204	−	6.39565i	−0.436437	−	0.366214i
$306$	−18.4926	−	32.0301i	−1.05715	−	1.83104i
$307$	−3.10092	+	5.37095i	−0.176979	+	0.306536i	−0.940844	−	0.338839i	$-0.889966\pi$
$307$	−3.10092	+	5.37095i	−0.176979	+	0.306536i	0.763866	+	0.645375i	$0.223299\pi$
$308$	1.68958	−	0.614959i	0.0962730	−	0.0350405i
$309$	−18.9954	+	15.9390i	−1.08061	+	0.906740i
$310$	2.28003	+	3.94913i	0.129497	+	0.224296i
$311$	−3.98359	+	22.5921i	−0.225889	+	1.28108i	0.635090	+	0.772438i	$0.280963\pi$
$311$	−3.98359	+	22.5921i	−0.225889	+	1.28108i	−0.860979	+	0.508641i	$0.830148\pi$
$312$	2.96941	−	16.8403i	0.168110	−	0.953397i
$313$	15.3848	+	12.9094i	0.869602	+	0.729683i	0.964014	−	0.265850i	$-0.0856527\pi$
$313$	15.3848	+	12.9094i	0.869602	+	0.729683i	−0.0944122	+	0.995533i	$0.530097\pi$
$314$	15.2479	+	5.54979i	0.860490	+	0.313193i
$315$	20.8563	+	7.59108i	1.17512	+	0.427709i
$316$	2.19800	+	1.84434i	0.123647	+	0.103752i
$317$	−3.62517	+	20.5593i	−0.203610	+	1.15473i	0.696003	+	0.718039i	$0.254960\pi$
$317$	−3.62517	+	20.5593i	−0.203610	+	1.15473i	−0.899613	+	0.436689i	$0.856151\pi$
$318$	−3.00316	+	17.0317i	−0.168409	+	0.955092i
$319$	0.808319	+	1.40005i	0.0452572	+	0.0783877i
$320$	0.766044	−	0.642788i	0.0428232	−	0.0359329i
$321$	38.6045	−	14.0509i	2.15470	−	0.784245i
$322$	−2.11245	+	3.65888i	−0.117722	+	0.203901i
$323$	21.5262	+	37.2845i	1.19775	+	2.07457i
$324$	1.45260	+	1.21888i	0.0807000	+	0.0677153i
$325$	2.99942	−	5.19515i	0.166378	−	0.288175i
$326$	−0.617888	−	3.50422i	−0.0342216	−	0.194081i
$327$	−25.8125			−1.42744
$328$	−0.857788	−	4.86476i	−0.0473634	−	0.268611i
$329$	−3.83376	+	3.21691i	−0.211362	+	0.177354i
$330$	1.11230	+	0.404842i	0.0612298	+	0.0222858i
$331$	−28.5279	+	10.3833i	−1.56803	+	0.570717i	−0.972559	−	0.232657i	$-0.925258\pi$
$331$	−28.5279	+	10.3833i	−1.56803	+	0.570717i	−0.595474	+	0.803374i	$0.703036\pi$
$332$	12.3344			0.676938
$333$	12.0782	+	28.7444i	0.661880	+	1.57518i
$334$	−6.78570			−0.371297
$335$	10.3562	−	3.76936i	0.565821	−	0.205942i
$336$	11.5987	+	4.22159i	0.632763	+	0.230307i
$337$	5.44504	−	4.56893i	0.296610	−	0.248886i	−0.482321	−	0.875994i	$-0.660206\pi$
$337$	5.44504	−	4.56893i	0.296610	−	0.248886i	0.778932	+	0.627109i	$0.215762\pi$
$338$	−3.99149	−	22.6368i	−0.217108	−	1.23128i
$339$	22.8234			1.23960
$340$	−1.25296	−	7.10591i	−0.0679515	−	0.385372i
$341$	−0.946766	+	1.63985i	−0.0512703	+	0.0888027i
$342$	−23.4285	−	19.6588i	−1.26687	−	1.06303i
$343$	10.2823	+	17.8095i	0.555192	+	0.961621i
$344$	0.346344	−	0.599886i	0.0186736	−	0.0323437i
$345$	−2.61362	+	0.951281i	−0.140713	+	0.0512153i
$346$	−10.2058	+	8.56371i	−0.548669	+	0.460388i
$347$	−16.9490	−	29.3565i	−0.909869	−	1.57594i	−0.814244	−	0.580522i	$-0.802848\pi$
$347$	−16.9490	−	29.3565i	−0.909869	−	1.57594i	−0.0956250	−	0.995417i	$-0.530485\pi$
$348$	−1.92714	+	10.9294i	−0.103306	+	0.585875i
$349$	4.51198	−	25.5887i	0.241521	−	1.36973i	−0.586915	−	0.809649i	$-0.699658\pi$
$349$	4.51198	−	25.5887i	0.241521	−	1.36973i	0.828436	−	0.560084i	$-0.189231\pi$
$350$	3.31701	+	2.78330i	0.177301	+	0.148774i
$351$	34.1588	+	12.4328i	1.82326	+	0.663613i
$352$	0.390200	+	0.142021i	0.0207977	+	0.00756976i
$353$	−19.5861	−	16.4347i	−1.04246	−	0.874731i	−0.0501830	−	0.998740i	$-0.515980\pi$
$353$	−19.5861	−	16.4347i	−1.04246	−	0.874731i	−0.992281	+	0.124009i	$0.960425\pi$
$354$	−2.84175	+	16.1163i	−0.151037	+	0.856574i
$355$	0.785353	−	4.45396i	0.0416822	−	0.236392i
$356$	−5.28519	−	9.15421i	−0.280114	−	0.485172i
$357$	68.2255	−	57.2480i	3.61088	−	3.02988i
$358$	20.5685	−	7.48631i	1.08708	−	0.395664i
$359$	8.64667	−	14.9765i	0.456354	−	0.790428i	−0.542411	−	0.840113i	$-0.682489\pi$
$359$	8.64667	−	14.9765i	0.456354	−	0.790428i	0.998765	+	0.0496854i	$0.0158219\pi$
$360$	2.56289	+	4.43905i	0.135076	+	0.233958i
$361$	12.7170	+	10.6708i	0.669316	+	0.561622i
$362$	3.69977	−	6.40819i	0.194456	−	0.336807i
$363$	−5.35962	−	30.3959i	−0.281307	−	1.59537i
$364$	25.9752			1.36147
$365$	2.83752	+	16.0924i	0.148523	+	0.842314i
$366$	21.7272	−	18.2313i	1.13570	−	0.952964i
$367$	18.1290	+	6.59842i	0.946327	+	0.344435i	0.768661	−	0.639656i	$-0.220923\pi$
$367$	18.1290	+	6.59842i	0.946327	+	0.344435i	0.177665	+	0.984091i	$0.443146\pi$
$368$	−0.916876	+	0.333716i	−0.0477955	+	0.0173961i
$369$	25.3203			1.31812
$370$	0.296272	+	6.07554i	0.0154024	+	0.315852i
$371$	−26.2705			−1.36389
$372$	−12.2149	+	4.44585i	−0.633312	+	0.230507i
$373$	−8.88915	−	3.23539i	−0.460263	−	0.167522i	0.101474	−	0.994838i	$-0.467644\pi$
$373$	−8.88915	−	3.23539i	−0.460263	−	0.167522i	−0.561736	+	0.827316i	$0.689866\pi$
$374$	2.29522	−	1.92592i	0.118683	−	0.0995868i
$375$	0.494997	+	2.80727i	0.0255615	+	0.144967i
$376$	−1.15579			−0.0596053
$377$	4.05554	+	23.0001i	0.208871	+	1.18456i
$378$	−13.1193	+	22.7234i	−0.674786	+	1.16876i
$379$	0.823150	+	0.690705i	0.0422824	+	0.0354791i	0.663684	−	0.748013i	$-0.268992\pi$
$379$	0.823150	+	0.690705i	0.0422824	+	0.0354791i	−0.621402	+	0.783492i	$0.713436\pi$
$380$	−2.98332	−	5.16727i	−0.153041	−	0.265075i
$381$	−8.98211	+	15.5575i	−0.460168	+	0.797034i
$382$	−8.35007	+	3.03918i	−0.427227	+	0.155498i
$383$	5.35821	−	4.49607i	0.273792	−	0.229739i	−0.495545	−	0.868583i	$-0.665031\pi$
$383$	5.35821	−	4.49607i	0.273792	−	0.229739i	0.769336	+	0.638844i	$0.220587\pi$
$384$	1.42529	+	2.46867i	0.0727339	+	0.125979i
$385$	−0.312223	+	1.77070i	−0.0159123	+	0.0902434i
$386$	−1.51144	+	8.57180i	−0.0769302	+	0.436293i
$387$	2.71989	+	2.28226i	0.138260	+	0.116014i
$388$	−7.06593	−	2.57179i	−0.358718	−	0.130563i
$389$	−11.5807	−	4.21504i	−0.587166	−	0.213711i	0.0313164	−	0.999510i	$-0.490030\pi$
$389$	−11.5807	−	4.21504i	−0.587166	−	0.213711i	−0.618483	+	0.785798i	$0.712252\pi$
$390$	13.0995	+	10.9918i	0.663317	+	0.556589i
$391$	−1.22254	+	6.93337i	−0.0618265	+	0.350636i
$392$	−2.04024	+	11.5708i	−0.103048	+	0.584413i
$393$	27.9983	+	48.4944i	1.41233	+	2.44622i
$394$	12.8428	−	10.7764i	0.647009	−	0.542905i
$395$	−2.69624	+	0.981351i	−0.135663	+	0.0493771i
$396$	−1.06422	+	1.84328i	−0.0534791	+	0.0926284i
$397$	1.37147	+	2.37545i	0.0688320	+	0.119220i	0.898387	−	0.439204i	$-0.144739\pi$
$397$	1.37147	+	2.37545i	0.0688320	+	0.119220i	−0.829555	+	0.558424i	$0.811406\pi$
$398$	0.951574	+	0.798466i	0.0476981	+	0.0400235i
$399$	36.8235	−	63.7802i	1.84348	−	3.19300i
$400$	0.173648	+	0.984808i	0.00868241	+	0.0492404i
$401$	37.0770			1.85154			0.925768	−	0.378092i	$-0.123420\pi$
$401$	37.0770			1.85154			0.925768	+	0.378092i	$0.123420\pi$
$402$	5.45529	+	30.9385i	0.272085	+	1.54307i
$403$	−20.9552	+	17.5835i	−1.04385	+	0.875897i
$404$	−2.54785	−	0.927340i	−0.126760	−	0.0461369i
$405$	−1.78188	+	0.648550i	−0.0885422	+	0.0322267i
$406$	−16.8579			−0.836643
$407$	−2.12332	+	1.36795i	−0.105249	+	0.0678070i
$408$	20.5684			1.01829
$409$	−17.5278	+	6.37960i	−0.866694	+	0.315451i	−0.736828	−	0.676081i	$-0.763677\pi$
$409$	−17.5278	+	6.37960i	−0.866694	+	0.315451i	−0.129866	+	0.991532i	$0.541455\pi$
$410$	4.64190	+	1.68951i	0.229247	+	0.0834391i
$411$	18.3080	−	15.3622i	0.903065	−	0.757762i
$412$	−1.51054	−	8.56670i	−0.0744190	−	0.422051i
$413$	−24.8585			−1.22321
$414$	−0.868469	−	4.92533i	−0.0426829	−	0.242067i
$415$	−6.16720	+	10.6819i	−0.302736	+	0.524354i
$416$	4.59538	+	3.85598i	0.225307	+	0.189055i
$417$	−15.2526	−	26.4183i	−0.746924	−	1.29371i
$418$	1.23880	−	2.14567i	0.0605918	−	0.104948i
$419$	13.6430	−	4.96564i	0.666504	−	0.242587i	0.0134619	−	0.999909i	$-0.495715\pi$
$419$	13.6430	−	4.96564i	0.666504	−	0.242587i	0.653042	+	0.757322i	$0.273493\pi$
$420$	−9.45537	+	7.93400i	−0.461375	+	0.387140i
$421$	−16.8467	−	29.1793i	−0.821058	−	1.42211i	−0.904895	−	0.425634i	$-0.860051\pi$
$421$	−16.8467	−	29.1793i	−0.821058	−	1.42211i	0.0838376	−	0.996479i	$-0.473282\pi$
$422$	−2.68079	+	15.2035i	−0.130499	+	0.740097i
$423$	1.02875	−	5.83431i	0.0500194	−	0.283674i
$424$	−4.64760	−	3.89980i	−0.225708	−	0.189391i
$425$	6.78038	+	2.46786i	0.328897	+	0.119709i
$426$	12.1147	+	4.40939i	0.586960	+	0.213636i
$427$	33.0038	+	27.6934i	1.59716	+	1.34018i
$428$	−2.50259	+	14.1929i	−0.120967	+	0.686041i
$429$	−1.23302	+	6.99283i	−0.0595310	+	0.337617i
$430$	0.346344	+	0.599886i	0.0167022	+	0.0289290i
$431$	6.35854	−	5.33545i	0.306280	−	0.256999i	−0.476672	−	0.879081i	$-0.658157\pi$
$431$	6.35854	−	5.33545i	0.306280	−	0.256999i	0.782952	+	0.622082i	$0.213713\pi$
$432$	−5.69423	+	2.07253i	−0.273964	+	0.0997147i
$433$	−1.15839	+	2.00638i	−0.0556685	+	0.0964207i	−0.892517	−	0.451014i	$-0.851062\pi$
$433$	−1.15839	+	2.00638i	−0.0556685	+	0.0964207i	0.836848	+	0.547435i	$0.184396\pi$
$434$	−9.87264	−	17.0999i	−0.473902	−	0.820822i
$435$	−8.50153	−	7.13363i	−0.407617	−	0.342031i
$436$	4.52760	−	7.84204i	0.216833	−	0.375565i
$437$	1.01094	+	5.73332i	0.0483598	+	0.274262i
$438$	−46.5802			−2.22569
$439$	−2.16184	−	12.2604i	−0.103179	−	0.585156i	−0.991932	−	0.126770i	$-0.959539\pi$
$439$	−2.16184	−	12.2604i	−0.103179	−	0.585156i	0.888753	−	0.458386i	$-0.151572\pi$
$440$	−0.318094	+	0.266913i	−0.0151645	+	0.0127246i
$441$	−56.5922	−	20.5979i	−2.69487	−	0.980851i
$442$	40.6744	−	14.8043i	1.93468	−	0.704167i
$443$	−5.64535			−0.268219			−0.134109	−	0.990967i	$-0.542817\pi$
$443$	−5.64535			−0.268219			−0.134109	+	0.990967i	$0.542817\pi$
$444$	−17.2023	−	2.17566i	−0.816386	−	0.103252i
$445$	10.5704			0.501084
$446$	−5.47197	+	1.99164i	−0.259105	+	0.0943067i
$447$	−6.41668	−	2.33548i	−0.303498	−	0.110464i
$448$	−3.31701	+	2.78330i	−0.156714	+	0.131499i
$449$	−4.80382	−	27.2438i	−0.226706	−	1.28572i	−0.859396	−	0.511311i	$-0.829160\pi$
$449$	−4.80382	−	27.2438i	−0.226706	−	1.28572i	0.632690	−	0.774406i	$-0.281951\pi$
$450$	−5.12577			−0.241631
$451$	0.356190	+	2.02005i	0.0167723	+	0.0951207i
$452$	−4.00330	+	6.93391i	−0.188299	+	0.326144i
$453$	35.6156	+	29.8851i	1.67337	+	1.40412i
$454$	−6.76767	−	11.7220i	−0.317623	−	0.550138i
$455$	−12.9876	+	22.4952i	−0.608869	+	1.05459i
$456$	15.9826	−	5.81720i	0.748456	−	0.272416i
$457$	0.429818	−	0.360660i	0.0201060	−	0.0168710i	−0.632679	−	0.774414i	$-0.718045\pi$
$457$	0.429818	−	0.360660i	0.0201060	−	0.0168710i	0.652785	+	0.757543i	$0.273600\pi$
$458$	6.11940	+	10.5991i	0.285941	+	0.495264i
$459$	−7.59255	+	43.0595i	−0.354390	+	2.00984i
$460$	0.169432	−	0.960896i	0.00789980	−	0.0448020i
$461$	1.95360	+	1.63926i	0.0909880	+	0.0763480i	0.687147	−	0.726518i	$-0.258863\pi$
$461$	1.95360	+	1.63926i	0.0909880	+	0.0763480i	−0.596159	+	0.802866i	$0.703307\pi$
$462$	−4.81629	−	1.75299i	−0.224074	−	0.0815563i
$463$	20.2159	+	7.35799i	0.939513	+	0.341955i	0.765974	−	0.642872i	$-0.222257\pi$
$463$	20.2159	+	7.35799i	0.939513	+	0.341955i	0.173540	+	0.984827i	$0.444480\pi$
$464$	−2.98239	−	2.50252i	−0.138454	−	0.116177i
$465$	2.25722	−	12.8013i	0.104676	−	0.593647i
$466$	0.548797	−	3.11238i	0.0254225	−	0.144178i
$467$	−11.8537	−	20.5312i	−0.548524	−	0.950071i	−0.998376	−	0.0569678i	$-0.981857\pi$
$467$	−11.8537	−	20.5312i	−0.548524	−	0.950071i	0.449852	−	0.893103i	$-0.351477\pi$
$468$	−23.5549	+	19.7649i	−1.08882	+	0.913632i
$469$	−44.8429	+	16.3215i	−2.07065	+	0.753656i
$470$	0.577895	−	1.00094i	0.0266563	−	0.0461701i
$471$	−23.1274	−	40.0579i	−1.06566	−	1.84577i
$472$	−4.39781	−	3.69020i	−0.202426	−	0.169855i
$473$	−0.143817	+	0.249098i	−0.00661270	+	0.0114535i
$474$	−1.42028	−	8.05484i	−0.0652358	−	0.369971i
$475$	5.96665			0.273768
$476$	5.42539	+	30.7689i	0.248672	+	1.41029i
$477$	23.8226	−	19.9895i	1.09076	−	0.915257i
$478$	−8.23034	−	2.99560i	−0.376447	−	0.137016i
$479$	−24.4268	+	8.89063i	−1.11609	+	0.406223i	−0.833224	−	0.552936i	$-0.813507\pi$
$479$	−24.4268	+	8.89063i	−1.11609	+	0.406223i	−0.282866	+	0.959159i	$0.591285\pi$
$480$	−2.85057			−0.130110
$481$	−35.5839	+	8.07910i	−1.62249	+	0.368375i
$482$	1.51464			0.0689901
$483$	11.3171	−	4.11909i	0.514946	−	0.187425i
$484$	10.1746	+	3.70325i	0.462481	+	0.168329i
$485$	5.76020	−	4.83338i	0.261557	−	0.219473i
$486$	2.21812	+	12.5796i	0.100616	+	0.570623i
$487$	−1.43650			−0.0650943			−0.0325471	−	0.999470i	$-0.510362\pi$
$487$	−1.43650			−0.0650943			−0.0325471	+	0.999470i	$0.510362\pi$
$488$	1.72778	+	9.79870i	0.0782127	+	0.443566i
$489$	−5.07156	+	8.78420i	−0.229344	+	0.397235i
$490$	−9.00047	−	7.55229i	−0.406600	−	0.341178i
$491$	−11.9759	−	20.7429i	−0.540467	−	0.936116i	−0.998877	−	0.0473753i	$-0.984914\pi$
$491$	−11.9759	−	20.7429i	−0.540467	−	0.936116i	0.458410	−	0.888741i	$-0.348419\pi$
$492$	−7.04064	+	12.1947i	−0.317417	+	0.549782i
$493$	−26.3976	+	9.60795i	−1.18889	+	0.432720i
$494$	27.4190	−	23.0073i	1.23364	−	1.03515i
$495$	−1.06422	−	1.84328i	−0.0478331	−	0.0828494i
$496$	0.791847	−	4.49079i	0.0355550	−	0.201642i
$497$	−3.40062	+	19.2858i	−0.152538	+	0.865088i
$498$	−26.9342	−	22.6005i	−1.20695	−	1.01275i
$499$	38.7514	+	14.1043i	1.73475	+	0.631397i	0.998950	−	0.0458035i	$-0.0145848\pi$
$499$	38.7514	+	14.1043i	1.73475	+	0.631397i	0.735799	+	0.677200i	$0.236807\pi$
$500$	−0.939693	−	0.342020i	−0.0420243	−	0.0152956i
$501$	14.8177	+	12.4335i	0.662006	+	0.555489i
$502$	2.24859	−	12.7524i	0.100360	−	0.569167i
$503$	4.12000	−	23.3657i	0.183702	−	1.04182i	−0.743910	−	0.668280i	$-0.767031\pi$
$503$	4.12000	−	23.3657i	0.183702	−	1.04182i	0.927612	−	0.373545i	$-0.121858\pi$
$504$	−11.0974	−	19.2213i	−0.494318	−	0.856184i
$505$	2.07702	−	1.74283i	0.0924263	−	0.0775549i
$506$	0.380726	−	0.138573i	0.0169253	−	0.00616032i
$507$	−32.7617	+	56.7450i	−1.45500	+	2.52013i
$508$	−3.15098	−	5.45766i	−0.139802	−	0.242145i
$509$	17.7178	+	14.8670i	0.785329	+	0.658969i	0.944585	−	0.328268i	$-0.106465\pi$
$509$	17.7178	+	14.8670i	0.785329	+	0.658969i	−0.159255	+	0.987237i	$0.550909\pi$
$510$	−10.2842	+	17.8128i	−0.455392	+	0.788762i
$511$	−12.2866	−	69.6808i	−0.543527	−	3.08250i
$512$	−1.00000			−0.0441942
$513$	6.27841	+	35.6066i	0.277199	+	1.57207i
$514$	−14.5030	+	12.1695i	−0.639701	+	0.536773i
$515$	8.17425	+	2.97518i	0.360200	+	0.131102i
$516$	−1.85548	+	0.675339i	−0.0816829	+	0.0297301i
$517$	0.479933			0.0211074
$518$	−1.28287	−	26.3074i	−0.0563661	−	1.15588i
$519$	37.9775			1.66703
$520$	−5.63706	+	2.05172i	−0.247202	+	0.0899740i
$521$	8.56733	+	3.11825i	0.375341	+	0.136613i	0.522800	−	0.852455i	$-0.324887\pi$
$521$	8.56733	+	3.11825i	0.375341	+	0.136613i	−0.147459	+	0.989068i	$0.547109\pi$
$522$	15.2871	−	12.8274i	0.669097	−	0.561439i
$523$	2.17413	+	12.3301i	0.0950683	+	0.539159i	0.994726	+	0.102564i	$0.0327046\pi$
$523$	2.17413	+	12.3301i	0.0950683	+	0.539159i	−0.899658	+	0.436595i	$0.856184\pi$
$524$	−19.6439			−0.858150
$525$	−2.14336	−	12.1556i	−0.0935439	−	0.530514i
$526$	6.03142	−	10.4467i	0.262982	−	0.455499i
$527$	−25.2054	−	21.1498i	−1.09796	−	0.921300i
$528$	−0.591840	−	1.02510i	−0.0257565	−	0.0446116i
$529$	11.0240	−	19.0941i	0.479304	−	0.830178i
$530$	5.70113	−	2.07504i	0.247641	−	0.0901341i
$531$	22.5422	−	18.9151i	0.978248	−	0.820847i
$532$	12.9179	+	22.3745i	0.560063	+	0.970057i
$533$	−5.14573	+	29.1829i	−0.222886	+	1.26405i
$534$	−5.23230	+	29.6739i	−0.226424	+	1.28411i
$535$	−11.0401	−	9.26377i	−0.477306	−	0.400508i
$536$	−10.3562	−	3.76936i	−0.447321	−	0.162811i
$537$	−58.6319	−	21.3403i	−2.53015	−	0.920901i
$538$	−17.7243	−	14.8724i	−0.764147	−	0.641196i
$539$	0.847195	−	4.80468i	0.0364913	−	0.206952i
$540$	1.05225	−	5.96762i	0.0452817	−	0.256805i
$541$	−11.1639	−	19.3365i	−0.479975	−	0.831342i	0.519761	−	0.854312i	$-0.326021\pi$
$541$	−11.1639	−	19.3365i	−0.479975	−	0.831342i	−0.999736	+	0.0229702i	$0.992688\pi$
$542$	3.78049	−	3.17221i	0.162386	−	0.136258i
$543$	−19.8209	+	7.21421i	−0.850596	+	0.309592i
$544$	−3.60776	+	6.24883i	−0.154682	+	0.267916i
$545$	4.52760	+	7.84204i	0.193941	+	0.335916i
$546$	−56.7213	−	47.5948i	−2.42745	−	2.03687i
$547$	−22.8839	+	39.6360i	−0.978443	+	1.69471i	−0.310373	+	0.950615i	$0.600454\pi$
$547$	−22.8839	+	39.6360i	−0.978443	+	1.69471i	−0.668070	+	0.744098i	$0.732880\pi$
$548$	1.45587	+	8.25667i	0.0621919	+	0.352708i
$549$	−51.0007			−2.17666
$550$	−0.0721061	−	0.408934i	−0.00307462	−	0.0174370i
$551$	−17.7949	+	14.9317i	−0.758087	+	0.636111i
$552$	2.61362	+	0.951281i	0.111243	+	0.0404892i
$553$	11.6748	−	4.24930i	0.496465	−	0.180698i
$554$	4.77173			0.202731
$555$	10.4853	−	13.8098i	0.445078	−	0.586194i
$556$	10.7014			0.453842
$557$	−2.11989	+	0.771576i	−0.0898225	+	0.0326927i	−0.386541	−	0.922272i	$-0.626330\pi$
$557$	−2.11989	+	0.771576i	−0.0898225	+	0.0326927i	0.296718	+	0.954965i	$0.404108\pi$
$558$	21.9642	+	7.99433i	0.929820	+	0.338427i
$559$	−3.18316	+	2.67099i	−0.134633	+	0.112971i
$560$	−0.751904	−	4.26426i	−0.0317738	−	0.180198i
$561$	−8.54087			−0.360596
$562$	−2.14496	−	12.1647i	−0.0904795	−	0.513135i
$563$	−0.633638	+	1.09749i	−0.0267047	+	0.0462538i	−0.879069	−	0.476695i	$-0.841835\pi$
$563$	−0.633638	+	1.09749i	−0.0267047	+	0.0462538i	0.852364	+	0.522949i	$0.175168\pi$
$564$	2.52386	+	2.11777i	0.106274	+	0.0891742i
$565$	−4.00330	−	6.93391i	−0.168420	−	0.291712i
$566$	−12.4911	+	21.6352i	−0.525040	+	0.909396i
$567$	7.71561	−	2.80825i	0.324025	−	0.117935i
$568$	−3.46457	+	2.90712i	−0.145370	+	0.121980i
$569$	−6.58762	−	11.4101i	−0.276167	−	0.478336i	0.694262	−	0.719723i	$-0.255731\pi$
$569$	−6.58762	−	11.4101i	−0.276167	−	0.478336i	−0.970429	+	0.241387i	$0.922398\pi$
$570$	−2.95347	+	16.7500i	−0.123707	+	0.701579i
$571$	−1.36567	+	7.74512i	−0.0571516	+	0.324123i	−0.999958	−	0.00921931i	$-0.997065\pi$
$571$	−1.36567	+	7.74512i	−0.0571516	+	0.324123i	0.942806	+	0.333342i	$0.108176\pi$
$572$	−1.90820	−	1.60117i	−0.0797857	−	0.0669481i
$573$	23.8025	+	8.66340i	0.994364	+	0.361919i
$574$	−20.0996	−	7.31567i	−0.838942	−	0.305350i
$575$	0.747444	+	0.627180i	0.0311706	+	0.0261552i
$576$	0.890081	−	5.04790i	0.0370867	−	0.210329i
$577$	−5.92489	+	33.6017i	−0.246656	+	1.39886i	0.569958	+	0.821674i	$0.306960\pi$
$577$	−5.92489	+	33.6017i	−0.246656	+	1.39886i	−0.816614	+	0.577184i	$0.804152\pi$
$578$	17.5319	+	30.3662i	0.729231	+	1.26307i
$579$	19.0067	−	15.9485i	0.789891	−	0.662798i
$580$	3.65845	−	1.33157i	0.151909	−	0.0552902i
$581$	26.7042	−	46.2531i	1.10788	−	1.91890i
$582$	10.7173	+	18.5629i	0.444247	+	0.769459i
$583$	1.92988	+	1.61936i	0.0799276	+	0.0670672i
$584$	8.17032	−	14.1514i	0.338090	−	0.585589i
$585$	−5.33945	−	30.2815i	−0.220759	−	1.25199i
$586$	18.2839			0.755301
$587$	3.63042	+	20.5892i	0.149844	+	0.849806i	0.963350	+	0.268249i	$0.0864450\pi$
$587$	3.63042	+	20.5892i	0.149844	+	0.849806i	−0.813506	+	0.581557i	$0.802444\pi$
$588$	25.6565	−	21.5284i	1.05806	−	0.887815i
$589$	−25.5674	−	9.30578i	−1.05349	−	0.383438i
$590$	5.39472	−	1.96352i	0.222097	−	0.0808367i
$591$	−47.7900			−1.96582
$592$	3.67833	−	4.84458i	0.151178	−	0.199111i
$593$	22.1062			0.907792			0.453896	−	0.891055i	$-0.350034\pi$
$593$	22.1062			0.907792			0.453896	+	0.891055i	$0.350034\pi$
$594$	2.36449	−	0.860603i	0.0970161	−	0.0353110i
$595$	−29.3593	−	10.6859i	−1.20362	−	0.438080i
$596$	1.83504	−	1.53978i	0.0751662	−	0.0630720i
$597$	−0.614881	−	3.48716i	−0.0251654	−	0.142720i
$598$	5.85318			0.239354
$599$	6.37428	+	36.1503i	0.260446	+	1.47706i	0.781697	+	0.623659i	$0.214354\pi$
$599$	6.37428	+	36.1503i	0.260446	+	1.47706i	−0.521251	+	0.853403i	$0.674534\pi$
$600$	1.42529	−	2.46867i	0.0581871	−	0.100783i
$601$	23.9202	+	20.0714i	0.975726	+	0.818731i	0.983439	−	0.181239i	$-0.0580108\pi$
$601$	23.9202	+	20.0714i	0.975726	+	0.818731i	−0.00771340	+	0.999970i	$0.502455\pi$
$602$	−1.49969	−	2.59753i	−0.0611226	−	0.105867i
$603$	28.2452	−	48.9222i	1.15023	−	1.99226i
$604$	−15.3264	+	5.57835i	−0.623622	+	0.226980i
$605$	−8.29440	+	6.95983i	−0.337215	+	0.282957i
$606$	3.86447	+	6.69345i	0.156983	+	0.271903i
$607$	4.03076	−	22.8596i	0.163603	−	0.927841i	−0.786889	−	0.617094i	$-0.788310\pi$
$607$	4.03076	−	22.8596i	0.163603	−	0.927841i	0.950493	−	0.310747i	$-0.100579\pi$
$608$	−1.03610	+	5.87600i	−0.0420193	+	0.238303i
$609$	36.8120	+	30.8889i	1.49170	+	1.25168i
$610$	−9.34981	−	3.40305i	−0.378563	−	0.137786i
$611$	6.51526	+	2.37136i	0.263579	+	0.0959350i
$612$	−28.3323	−	23.7736i	−1.14526	−	0.960991i
$613$	−2.11466	+	11.9928i	−0.0854103	+	0.484386i	0.911857	+	0.410508i	$0.134649\pi$
$613$	−2.11466	+	11.9928i	−0.0854103	+	0.484386i	−0.997267	+	0.0738778i	$0.976463\pi$
$614$	−1.07694	+	6.10761i	−0.0434617	+	0.246483i
$615$	−7.04064	−	12.1947i	−0.283906	−	0.491740i
$616$	1.37736	−	1.15574i	0.0554955	−	0.0465663i
$617$	3.39967	−	1.23738i	0.136866	−	0.0498150i	−0.272679	−	0.962105i	$-0.587910\pi$
$617$	3.39967	−	1.23738i	0.136866	−	0.0498150i	0.409545	+	0.912290i	$0.365688\pi$
$618$	−12.3984	+	21.4746i	−0.498735	+	0.863835i
$619$	17.1879	+	29.7704i	0.690842	+	1.19657i	0.971562	+	0.236784i	$0.0760932\pi$
$619$	17.1879	+	29.7704i	0.690842	+	1.19657i	−0.280721	+	0.959790i	$0.590573\pi$
$620$	3.49321	+	2.93115i	0.140291	+	0.117718i
$621$	−2.95627	+	5.12041i	−0.118631	+	0.205475i
$622$	3.98359	+	22.5921i	0.159728	+	0.905860i
$623$	−45.7702			−1.83374
$624$	−2.96941	−	16.8403i	−0.118871	−	0.674153i
$625$	0.766044	−	0.642788i	0.0306418	−	0.0257115i
$626$	18.8723	+	6.86895i	0.754288	+	0.274539i
$627$	−6.63667	+	2.41555i	−0.265043	+	0.0964678i
$628$	16.2265			0.647508
$629$	−17.0024	−	40.4633i	−0.677930	−	1.61338i
$630$	22.1948			0.884263
$631$	12.6329	−	4.59798i	0.502906	−	0.183043i	−0.0780946	−	0.996946i	$-0.524884\pi$
$631$	12.6329	−	4.59798i	0.502906	−	0.183043i	0.581001	+	0.813903i	$0.302661\pi$
$632$	2.69624	+	0.981351i	0.107251	+	0.0390361i
$633$	33.7116	−	28.2874i	1.33992	−	1.12432i
$634$	3.62517	+	20.5593i	0.143974	+	0.816516i
$635$	6.30197			0.250086
$636$	3.00316	+	17.0317i	0.119083	+	0.675352i
$637$	35.2410	−	61.0393i	1.39630	−	2.41846i
$638$	1.23842	+	1.03915i	0.0490294	+	0.0411405i
$639$	−11.5911	−	20.0764i	−0.458536	−	0.794208i
$640$	0.500000	−	0.866025i	0.0197642	−	0.0342327i
$641$	25.4108	−	9.24876i	1.00366	−	0.365304i	0.212668	−	0.977125i	$-0.431785\pi$
$641$	25.4108	−	9.24876i	1.00366	−	0.365304i	0.790997	+	0.611821i	$0.209563\pi$
$642$	31.4707	−	26.4071i	1.24205	−	1.04220i
$643$	8.05719	+	13.9555i	0.317744	+	0.550349i	0.980017	−	0.198913i	$-0.0637413\pi$
$643$	8.05719	+	13.9555i	0.317744	+	0.550349i	−0.662273	+	0.749263i	$0.730408\pi$
$644$	−0.733647	+	4.16072i	−0.0289098	+	0.163955i
$645$	0.342879	−	1.94456i	0.0135008	−	0.0765670i
$646$	32.9801	+	27.6736i	1.29759	+	1.08880i
$647$	0.303500	+	0.110465i	0.0119318	+	0.00434283i	0.347979	−	0.937502i	$-0.386868\pi$
$647$	0.303500	+	0.110465i	0.0119318	+	0.00434283i	−0.336047	+	0.941845i	$0.609090\pi$
$648$	1.78188	+	0.648550i	0.0699988	+	0.0254775i
$649$	1.82616	+	1.53233i	0.0716830	+	0.0601492i
$650$	1.04169	−	5.90770i	0.0408583	−	0.231719i
$651$	−9.77385	+	55.4303i	−0.383067	+	2.17248i
$652$	−1.77914	−	3.08156i	−0.0696764	−	0.120683i
$653$	6.22427	−	5.22278i	0.243574	−	0.204383i	−0.512825	−	0.858493i	$-0.671401\pi$
$653$	6.22427	−	5.22278i	0.243574	−	0.204383i	0.756400	+	0.654110i	$0.226957\pi$
$654$	−24.2558	+	8.82841i	−0.948479	+	0.345218i
$655$	9.82197	−	17.0122i	0.383776	−	0.664720i
$656$	−2.46990	−	4.27800i	−0.0964335	−	0.167028i
$657$	64.1627	+	53.8389i	2.50322	+	2.10045i
$658$	−2.50231	+	4.33413i	−0.0975502	+	0.168962i
$659$	5.51578	+	31.2816i	0.214864	+	1.21856i	0.881142	+	0.472852i	$0.156776\pi$
$659$	5.51578	+	31.2816i	0.214864	+	1.21856i	−0.666277	+	0.745704i	$0.732113\pi$
$660$	1.18368			0.0460747
$661$	−5.10127	−	28.9307i	−0.198416	−	1.12527i	−0.907469	−	0.420119i	$-0.861988\pi$
$661$	−5.10127	−	28.9307i	−0.198416	−	1.12527i	0.709053	−	0.705155i	$-0.249123\pi$
$662$	−23.2561	+	19.5142i	−0.903875	+	0.758441i
$663$	−115.945	−	42.2007i	−4.50294	−	1.63894i
$664$	11.5905	−	4.21861i	0.449800	−	0.163714i
$665$	−25.8358			−1.00187
$666$	21.1809	+	22.8799i	0.820744	+	0.886578i
$667$	−3.79871			−0.147086
$668$	−6.37647	+	2.32084i	−0.246713	+	0.0897962i
$669$	15.5983	+	5.67730i	0.603064	+	0.219497i
$670$	8.44247	−	7.08407i	0.326161	−	0.273682i
$671$	−0.717446	−	4.06884i	−0.0276967	−	0.157076i
$672$	12.3431			0.476146
$673$	5.12970	+	29.0920i	0.197735	+	1.12141i	0.908469	+	0.417952i	$0.137252\pi$
$673$	5.12970	+	29.0920i	0.197735	+	1.12141i	−0.710734	+	0.703461i	$0.751637\pi$
$674$	3.55400	−	6.15571i	0.136895	−	0.237109i
$675$	4.64198	+	3.89508i	0.178670	+	0.149922i
$676$	−11.4930	−	19.9065i	−0.442040	−	0.765635i
$677$	5.84387	−	10.1219i	0.224598	−	0.389015i	−0.731601	−	0.681733i	$-0.761226\pi$
$677$	5.84387	−	10.1219i	0.224598	−	0.389015i	0.956199	+	0.292718i	$0.0945597\pi$
$678$	21.4470	−	7.80606i	0.823666	−	0.299790i
$679$	−24.9419	+	20.9288i	−0.957184	+	0.803172i
$680$	−3.60776	−	6.24883i	−0.138351	−	0.239632i
$681$	−6.69996	+	37.9973i	−0.256743	+	1.45606i
$682$	−0.328808	+	1.86477i	−0.0125907	+	0.0714056i
$683$	12.2739	+	10.2990i	0.469647	+	0.394081i	0.846666	−	0.532125i	$-0.178606\pi$
$683$	12.2739	+	10.2990i	0.469647	+	0.394081i	−0.377019	+	0.926206i	$0.623051\pi$
$684$	−28.7393	−	10.4602i	−1.09887	−	0.399957i
$685$	−7.87843	−	2.86751i	−0.301019	−	0.109562i
$686$	15.7534	+	13.2187i	0.601468	+	0.504692i
$687$	6.05817	−	34.3576i	0.231134	−	1.31082i
$688$	0.120284	−	0.682165i	0.00458579	−	0.0260073i
$689$	18.1975	+	31.5190i	0.693270	+	1.20078i
$690$	−2.13065	+	1.78782i	−0.0811123	+	0.0680613i
$691$	7.66236	−	2.78887i	0.291490	−	0.106094i	−0.192136	−	0.981368i	$-0.561542\pi$
$691$	7.66236	−	2.78887i	0.291490	−	0.106094i	0.483626	+	0.875275i	$0.339319\pi$
$692$	−6.66138	+	11.5379i	−0.253228	+	0.438603i
$693$	4.60812	+	7.98150i	0.175048	+	0.303192i
$694$	−25.9674	−	21.7892i	−0.985707	−	0.827107i
$695$	−5.35072	+	9.26772i	−0.202964	+	0.351545i
$696$	1.92714	+	10.9294i	0.0730481	+	0.414276i
$697$	−35.6433			−1.35009
$698$	−4.51198	−	25.5887i	−0.170781	−	0.968547i
$699$	−6.90125	+	5.79083i	−0.261029	+	0.219029i
$700$	4.06891	+	1.48096i	0.153790	+	0.0559751i
$701$	8.32397	−	3.02968i	0.314392	−	0.114429i	−0.180005	−	0.983666i	$-0.557611\pi$
$701$	8.32397	−	3.02968i	0.314392	−	0.114429i	0.494397	+	0.869236i	$0.335389\pi$
$702$	36.3510			1.37198
$703$	−24.6556	−	26.6333i	−0.929904	−	1.00449i
$704$	0.415243			0.0156500
$705$	−3.09597	+	1.12684i	−0.116601	+	0.0424393i
$706$	−24.0259	−	8.74473i	−0.904228	−	0.329112i
$707$	−8.99360	+	7.54653i	−0.338239	+	0.283816i
$708$	2.84175	+	16.1163i	0.106799	+	0.605689i
$709$	22.3893			0.840849			0.420425	−	0.907327i	$-0.361881\pi$
$709$	22.3893			0.840849			0.420425	+	0.907327i	$0.361881\pi$
$710$	−0.785353	−	4.45396i	−0.0294738	−	0.167154i
$711$	−7.35364	+	12.7369i	−0.275783	+	0.477670i
$712$	−8.09738	−	6.79451i	−0.303462	−	0.254635i
$713$	−2.22467	−	3.85324i	−0.0833146	−	0.144305i
$714$	44.5310	−	77.1300i	1.66653	−	2.88652i
$715$	2.34075	−	0.851963i	0.0875390	−	0.0318616i
$716$	16.7676	−	14.0697i	0.626633	−	0.525808i
$717$	12.4834	+	21.6220i	0.466203	+	0.807487i
$718$	3.00296	−	17.0306i	0.112069	−	0.635577i
$719$	−3.55936	+	20.1862i	−0.132742	+	0.752817i	0.843664	+	0.536872i	$0.180394\pi$
$719$	−3.55936	+	20.1862i	−0.132742	+	0.752817i	−0.976406	+	0.215945i	$0.930717\pi$
$720$	3.92657	+	3.29478i	0.146335	+	0.122789i
$721$	−35.3949	−	12.8827i	−1.31817	−	0.479776i
$722$	15.5997	+	5.67783i	0.580561	+	0.211307i
$723$	−3.30748	−	2.77530i	−0.123006	−	0.103215i
$724$	1.28492	−	7.28713i	0.0477536	−	0.270824i
$725$	−0.676053	+	3.83409i	−0.0251080	+	0.142395i
$726$	−15.4324	−	26.7297i	−0.572750	−	0.992032i
$727$	25.9100	−	21.7411i	0.960950	−	0.806333i	−0.0201575	−	0.999797i	$-0.506417\pi$
$727$	25.9100	−	21.7411i	0.960950	−	0.806333i	0.981107	+	0.193464i	$0.0619723\pi$
$728$	24.4087	−	8.88405i	0.904648	−	0.329265i
$729$	21.0505	−	36.4605i	0.779648	−	1.35039i
$730$	8.17032	+	14.1514i	0.302397	+	0.523767i
$731$	−3.82877	−	3.21272i	−0.141612	−	0.118827i
$732$	14.1814	−	24.5629i	0.524160	−	0.907872i
$733$	−5.85562	−	33.2089i	−0.216282	−	1.22660i	−0.878668	−	0.477434i	$-0.841567\pi$
$733$	−5.85562	−	33.2089i	−0.216282	−	1.22660i	0.662386	−	0.749163i	$-0.269544\pi$
$734$	19.2925			0.712099
$735$	5.81586	+	32.9834i	0.214521	+	1.21661i
$736$	−0.747444	+	0.627180i	−0.0275512	+	0.0231182i
$737$	4.30035	+	1.56520i	0.158405	+	0.0576548i
$738$	23.7933	−	8.66006i	0.875844	−	0.318781i
$739$	−36.6499			−1.34819			−0.674093	−	0.738646i	$-0.735465\pi$
$739$	−36.6499			−1.34819			−0.674093	+	0.738646i	$0.735465\pi$
$740$	2.35636	+	5.60781i	0.0866216	+	0.206147i
$741$	−102.030			−3.74818
$742$	−24.6861	+	8.98502i	−0.906257	+	0.329851i
$743$	11.0083	+	4.00670i	0.403856	+	0.146992i	0.535958	−	0.844245i	$-0.319950\pi$
$743$	11.0083	+	4.00670i	0.403856	+	0.146992i	−0.132102	+	0.991236i	$0.542173\pi$
$744$	−9.95766	+	8.35547i	−0.365065	+	0.306326i
$745$	0.415970	+	2.35908i	0.0152400	+	0.0864302i
$746$	−9.45963			−0.346342
$747$	10.9786	+	62.2628i	0.401686	+	2.27808i
$748$	1.49810	−	2.59478i	0.0547758	−	0.0948745i
$749$	47.8043	+	40.1125i	1.74673	+	1.46568i
$750$	1.42529	+	2.46867i	0.0520441	+	0.0901431i
$751$	−1.96003	+	3.39487i	−0.0715225	+	0.123881i	−0.899569	−	0.436779i	$-0.856119\pi$
$751$	−1.96003	+	3.39487i	−0.0715225	+	0.123881i	0.828046	+	0.560660i	$0.189452\pi$
$752$	−1.08609	+	0.395303i	−0.0396055	+	0.0144152i
$753$	−28.2766	+	23.7269i	−1.03046	+	0.864655i
$754$	11.6774	+	20.2259i	0.425268	+	0.736585i
$755$	2.83220	−	16.0622i	0.103074	−	0.584564i
$756$	−4.55630	+	25.8400i	−0.165711	+	0.939793i
$757$	−36.6972	−	30.7926i	−1.33378	−	1.11918i	−0.983177	−	0.182655i	$-0.941531\pi$
$757$	−36.6972	−	30.7926i	−1.33378	−	1.11918i	−0.350607	−	0.936523i	$-0.614025\pi$
$758$	1.00974	+	0.367516i	0.0366755	+	0.0133488i
$759$	−1.08529	−	0.395012i	−0.0393934	−	0.0143380i
$760$	−4.57072	−	3.83529i	−0.165797	−	0.139120i
$761$	−2.97826	+	16.8906i	−0.107962	+	0.612283i	0.882034	+	0.471186i	$0.156174\pi$
$761$	−2.97826	+	16.8906i	−0.107962	+	0.612283i	−0.989996	+	0.141097i	$0.954937\pi$
$762$	−3.11946	+	17.6913i	−0.113006	+	0.640889i
$763$	−19.6047	−	33.9564i	−0.709738	−	1.22930i
$764$	−6.80704	+	5.71179i	−0.246270	+	0.206645i
$765$	34.7547	−	12.6497i	1.25656	−	0.457350i
$766$	3.49732	−	6.05754i	0.126363	−	0.218868i
$767$	17.2195	+	29.8250i	0.621759	+	1.07692i
$768$	2.18367	+	1.83231i	0.0787963	+	0.0661179i
$769$	−3.79804	+	6.57839i	−0.136961	+	0.237223i	−0.926345	−	0.376677i	$-0.877067\pi$
$769$	−3.79804	+	6.57839i	−0.136961	+	0.237223i	0.789384	+	0.613900i	$0.210400\pi$
$770$	0.312223	+	1.77070i	0.0112517	+	0.0638117i
$771$	53.9681			1.94361
$772$	1.51144	+	8.57180i	0.0543979	+	0.308506i
$773$	7.26311	−	6.09447i	0.261236	−	0.219203i	−0.502757	−	0.864428i	$-0.667681\pi$
$773$	7.26311	−	6.09447i	0.261236	−	0.219203i	0.763993	+	0.645225i	$0.223236\pi$
$774$	3.33644	+	1.21436i	0.119926	+	0.0436494i
$775$	−4.28506	+	1.55963i	−0.153924	+	0.0560237i
$776$	−7.51941			−0.269931
$777$	−45.4020	+	59.7971i	−1.62879	+	2.14521i
$778$	−12.3240			−0.441835
$779$	−27.6966	+	10.0807i	−0.992332	+	0.361179i
$780$	16.0689	+	5.84859i	0.575358	+	0.209413i
$781$	1.43864	−	1.20716i	0.0514784	−	0.0431955i
$782$	1.22254	+	6.93337i	0.0437179	+	0.247937i
$783$	−23.5918			−0.843100
$784$	2.04024	+	11.5708i	0.0728658	+	0.413242i
$785$	−8.11325	+	14.0526i	−0.289574	+	0.501557i
$786$	42.8958	+	35.9939i	1.53004	+	1.28386i
$787$	−9.53091	−	16.5080i	−0.339740	−	0.588447i	0.644644	−	0.764483i	$-0.277006\pi$
$787$	−9.53091	−	16.5080i	−0.339740	−	0.588447i	−0.984384	+	0.176036i	$0.943672\pi$
$788$	8.38252	−	14.5190i	0.298615	−	0.517216i
$789$	−32.3123	+	11.7607i	−1.15035	+	0.418692i
$790$	−2.19800	+	1.84434i	−0.0782012	+	0.0656186i
$791$	17.3345	+	30.0241i	0.616342	+	1.06754i
$792$	−0.369600	+	2.09610i	−0.0131332	+	0.0744818i
$793$	10.3646	−	58.7808i	0.368059	−	2.08737i
$794$	2.10121	+	1.76312i	0.0745691	+	0.0625709i
$795$	−16.2515	−	5.91506i	−0.576381	−	0.209786i
$796$	1.16728	+	0.424855i	0.0413731	+	0.0150586i
$797$	−23.6632	−	19.8558i	−0.838192	−	0.703327i	0.118964	−	0.992899i	$-0.462043\pi$
$797$	−23.6632	−	19.8558i	−0.838192	−	0.703327i	−0.957156	+	0.289572i	$0.906487\pi$
$798$	12.7887	−	72.5281i	0.452714	−	2.56747i
$799$	−1.44816	+	8.21293i	−0.0512323	+	0.290553i
$800$	0.500000	+	0.866025i	0.0176777	+	0.0306186i
$801$	41.5053	−	34.8271i	1.46652	−	1.23056i
$802$	34.8410	−	12.6811i	1.23028	−	0.447784i
$803$	−3.39266	+	5.87627i	−0.119725	+	0.207369i
$804$	15.7079	+	27.2069i	0.553975	+	0.959512i
$805$	−3.23647	−	2.71572i	−0.114070	−	0.0957165i
$806$	−13.6775	+	23.6902i	−0.481771	+	0.834451i
$807$	11.4529	+	64.9528i	0.403162	+	2.28645i
$808$	−2.71136			−0.0953853
$809$	−4.13278	−	23.4381i	−0.145301	−	0.824041i	−0.967125	−	0.254301i	$-0.918155\pi$
$809$	−4.13278	−	23.4381i	−0.145301	−	0.824041i	0.821824	−	0.569741i	$-0.192956\pi$
$810$	−1.45260	+	1.21888i	−0.0510392	+	0.0428269i
$811$	−4.14482	−	1.50859i	−0.145544	−	0.0529737i	0.268221	−	0.963357i	$-0.413564\pi$
$811$	−4.14482	−	1.50859i	−0.145544	−	0.0529737i	−0.413765	+	0.910384i	$0.635787\pi$
$812$	−15.8412	+	5.76574i	−0.555918	+	0.202338i
$813$	−14.0678			−0.493380
$814$	−1.52740	+	2.01167i	−0.0535353	+	0.0705091i
$815$	3.55827			0.124641
$816$	19.3280	−	7.03481i	0.676614	−	0.246267i
$817$	−3.88377	−	1.41358i	−0.135876	−	0.0494548i
$818$	−14.2888	+	11.9897i	−0.499596	+	0.419211i
$819$	23.1201	+	131.120i	0.807881	+	4.58172i
$820$	4.93981			0.172505
$821$	−7.64972	−	43.3837i	−0.266977	−	1.51410i	−0.763345	−	0.645991i	$-0.776445\pi$
$821$	−7.64972	−	43.3837i	−0.266977	−	1.51410i	0.496368	−	0.868112i	$-0.334667\pi$
$822$	11.9497	−	20.6974i	0.416793	−	0.721906i
$823$	14.8299	+	12.4438i	0.516938	+	0.433763i	0.863563	−	0.504241i	$-0.168228\pi$
$823$	14.8299	+	12.4438i	0.516938	+	0.433763i	−0.346624	+	0.938004i	$0.612672\pi$
$824$	−4.34943	−	7.53343i	−0.151519	−	0.262439i
$825$	−0.591840	+	1.02510i	−0.0206052	+	0.0356893i
$826$	−23.3594	+	8.50211i	−0.812776	+	0.295826i
$827$	−12.4996	+	10.4884i	−0.434653	+	0.364717i	−0.833704	−	0.552212i	$-0.813784\pi$
$827$	−12.4996	+	10.4884i	−0.434653	+	0.364717i	0.399051	+	0.916929i	$0.369340\pi$
$828$	−2.50066	−	4.33127i	−0.0869039	−	0.150522i
$829$	8.27040	−	46.9038i	0.287243	−	1.62903i	−0.409920	−	0.912122i	$-0.634443\pi$
$829$	8.27040	−	46.9038i	0.287243	−	1.62903i	0.697163	−	0.716913i	$-0.254446\pi$
$830$	−2.14184	+	12.1470i	−0.0743445	+	0.421629i
$831$	−10.4199	−	8.74331i	−0.361461	−	0.303302i
$832$	5.63706	+	2.05172i	0.195430	+	0.0711307i
$833$	79.6646	+	28.9955i	2.76021	+	1.00464i
$834$	−23.3684	−	19.6084i	−0.809180	−	0.678983i
$835$	1.17832	−	6.68261i	0.0407776	−	0.231261i
$836$	0.430232	−	2.43996i	0.0148799	−	0.0843879i
$837$	−13.8163	−	23.9304i	−0.477560	−	0.827157i
$838$	11.1219	−	9.33235i	0.384199	−	0.322381i
$839$	24.5574	−	8.93817i	0.847816	−	0.308580i	0.118667	−	0.992934i	$-0.462138\pi$
$839$	24.5574	−	8.93817i	0.847816	−	0.308580i	0.729150	+	0.684354i	$0.239916\pi$
$840$	−6.17156	+	10.6894i	−0.212939	+	0.368821i
$841$	6.92135	+	11.9881i	0.238667	+	0.413384i
$842$	−25.8106	−	21.6577i	−0.889493	−	0.746373i
$843$	−17.6056	+	30.4938i	−0.606369	+	1.05026i
$844$	2.68079	+	15.2035i	0.0922768	+	0.523327i
$845$	22.9861			0.790744
$846$	−1.02875	−	5.83431i	−0.0353690	−	0.200588i
$847$	35.9151	−	30.1364i	1.23406	−	1.03550i
$848$	−5.70113	−	2.07504i	−0.195778	−	0.0712572i
$849$	66.9189	−	24.3565i	2.29665	−	0.835913i
$850$	7.21553			0.247491
$851$	−0.289078	−	5.92802i	−0.00990947	−	0.203210i
$852$	12.8922			0.441680
$853$	4.36230	−	1.58775i	0.149362	−	0.0543634i	−0.266257	−	0.963902i	$-0.585787\pi$
$853$	4.36230	−	1.58775i	0.149362	−	0.0543634i	0.415619	+	0.909539i	$0.363565\pi$
$854$	40.4851	+	14.7354i	1.38537	+	0.504234i
$855$	23.4285	−	19.6588i	0.801236	−	0.672317i
$856$	2.50259	+	14.1929i	0.0855369	+	0.485104i
$857$	45.8476			1.56613			0.783063	−	0.621942i	$-0.213656\pi$
$857$	45.8476			1.56613			0.783063	+	0.621942i	$0.213656\pi$
$858$	1.23302	+	6.99283i	0.0420947	+	0.238731i
$859$	−5.22042	+	9.04204i	−0.178119	+	0.308510i	−0.941236	−	0.337749i	$-0.890334\pi$
$859$	−5.22042	+	9.04204i	−0.178119	+	0.308510i	0.763118	+	0.646260i	$0.223668\pi$
$860$	0.530630	+	0.445251i	0.0180943	+	0.0151829i
$861$	30.4863	+	52.8038i	1.03897	+	1.79955i
$862$	4.15024	−	7.18843i	0.141358	−	0.244839i
$863$	21.0403	−	7.65803i	0.716219	−	0.260682i	0.0418993	−	0.999122i	$-0.486659\pi$
$863$	21.0403	−	7.65803i	0.716219	−	0.260682i	0.674320	+	0.738439i	$0.264437\pi$
$864$	−4.64198	+	3.89508i	−0.157923	+	0.132513i
$865$	−6.66138	−	11.5379i	−0.226494	−	0.392299i
$866$	−0.402303	+	2.28158i	−0.0136708	+	0.0775311i
$867$	17.3565	−	98.4335i	0.589457	−	3.34298i
$868$	−15.1258	−	12.6920i	−0.513402	−	0.430795i
$869$	−1.11959	−	0.407499i	−0.0379796	−	0.0138235i
$870$	−10.4287	−	3.79573i	−0.353565	−	0.128687i
$871$	50.6450	+	42.4962i	1.71604	+	1.43993i
$872$	1.57242	−	8.91763i	0.0532488	−	0.301989i
$873$	6.69289	−	37.9572i	0.226520	−	1.28466i
$874$	2.91089	+	5.04180i	0.0984622	+	0.170541i
$875$	−3.31701	+	2.78330i	−0.112135	+	0.0940927i
$876$	−43.7711	+	15.9314i	−1.47889	+	0.538271i
$877$	17.2030	−	29.7965i	0.580905	−	1.00616i	−0.414467	−	0.910064i	$-0.636032\pi$
$877$	17.2030	−	29.7965i	0.580905	−	1.00616i	0.995372	−	0.0960931i	$-0.0306346\pi$
$878$	−6.22476	−	10.7816i	−0.210076	−	0.363861i
$879$	−39.9259	−	33.5018i	−1.34667	−	1.12999i
$880$	−0.207621	+	0.359611i	−0.00699891	+	0.0121225i
$881$	−2.82226	−	16.0058i	−0.0950842	−	0.539249i	−0.994722	−	0.102611i	$-0.967280\pi$
$881$	−2.82226	−	16.0058i	−0.0950842	−	0.539249i	0.899637	−	0.436638i	$-0.143831\pi$
$882$	−60.2242			−2.02785
$883$	4.37290	+	24.7999i	0.147160	+	0.834585i	0.965608	+	0.260004i	$0.0837238\pi$
$883$	4.37290	+	24.7999i	0.147160	+	0.834585i	−0.818448	+	0.574581i	$0.805165\pi$
$884$	33.1581	−	27.8229i	1.11523	−	0.935786i
$885$	−15.3780	−	5.59715i	−0.516927	−	0.188146i
$886$	−5.30490	+	1.93082i	−0.178221	+	0.0648673i
$887$	16.4963			0.553892			0.276946	−	0.960885i	$-0.410678\pi$
$887$	16.4963			0.553892			0.276946	+	0.960885i	$0.410678\pi$
$888$	−16.9090	+	3.83909i	−0.567430	+	0.128831i
$889$	−27.2878			−0.915204
$890$	9.93290	−	3.61528i	0.332952	−	0.121185i
$891$	−0.739911	−	0.269306i	−0.0247880	−	0.00902208i
$892$	−4.46079	+	3.74305i	−0.149358	+	0.125327i
$893$	1.19751	+	6.79142i	0.0400731	+	0.227266i
$894$	−6.82848			−0.228379
$895$	3.80090	+	21.5560i	0.127050	+	0.720537i
$896$	−2.16502	+	3.74993i	−0.0723283	+	0.125276i
$897$	−12.7814	−	10.7249i	−0.426758	−	0.358093i
$898$	−13.8321	−	23.9578i	−0.461582	−	0.799483i
$899$	8.87670	−	15.3749i	0.296055	−	0.512782i
$900$	−4.81665	+	1.75312i	−0.160555	+	0.0584373i
$901$	−33.5349	+	28.1391i	−1.11721	+	0.937450i
$902$	1.02561	+	1.77641i	0.0341490	+	0.0591479i
$903$	−1.48468	+	8.42004i	−0.0494070	+	0.280201i
$904$	−1.39033	+	7.88495i	−0.0462417	+	0.262250i
$905$	5.66838	+	4.75634i	0.188423	+	0.158106i
$906$	43.6890	+	15.9015i	1.45147	+	0.528292i
$907$	−47.0393	−	17.1209i	−1.56191	−	0.568490i	−0.590740	−	0.806862i	$-0.701164\pi$
$907$	−47.0393	−	17.1209i	−1.56191	−	0.568490i	−0.971174	+	0.238372i	$0.923386\pi$
$908$	−10.3687	−	8.70035i	−0.344097	−	0.288731i
$909$	2.41333	−	13.6867i	0.0800451	−	0.453959i
$910$	−4.51055	+	25.5806i	−0.149523	+	0.847989i
$911$	16.7373	+	28.9898i	0.554530	+	0.960475i	0.997940	+	0.0641556i	$0.0204354\pi$
$911$	16.7373	+	28.9898i	0.554530	+	0.960475i	−0.443410	+	0.896319i	$0.646231\pi$
$912$	13.0292	−	10.9328i	0.431439	−	0.362020i
$913$	−4.81288	+	1.75175i	−0.159283	+	0.0579744i
$914$	0.280544	−	0.485916i	0.00927957	−	0.0160727i
$915$	14.1814	+	24.5629i	0.468823	+	0.812025i
$916$	9.37547	+	7.86695i	0.309774	+	0.259931i
$917$	−42.5296	+	73.6634i	−1.40445	+	2.43258i
$918$	7.59255	+	43.0595i	0.250591	+	1.42117i
$919$	−2.34412			−0.0773255			−0.0386628	−	0.999252i	$-0.512310\pi$
$919$	−2.34412			−0.0773255			−0.0386628	+	0.999252i	$0.512310\pi$
$920$	−0.169432	−	0.960896i	−0.00558600	−	0.0316798i
$921$	13.5427	−	11.3637i	0.446248	−	0.374447i
$922$	2.39644	+	0.872233i	0.0789226	+	0.0287255i
$923$	25.4946	−	9.27927i	0.839164	−	0.305431i
$924$	−5.12539			−0.168613
$925$	−6.03469	−	0.763236i	−0.198419	−	0.0250951i
$926$	21.5133			0.706972
$927$	41.8994	−	15.2501i	1.37616	−	0.500880i
$928$	−3.65845	−	1.33157i	−0.120094	−	0.0437108i
$929$	−25.2900	+	21.2209i	−0.829739	+	0.696234i	−0.955231	−	0.295861i	$-0.904393\pi$
$929$	−25.2900	+	21.2209i	−0.829739	+	0.696234i	0.125492	+	0.992095i	$0.459949\pi$
$930$	−2.25722	−	12.8013i	−0.0740171	−	0.419772i
$931$	70.1038			2.29756
$932$	−0.548797	−	3.11238i	−0.0179764	−	0.101949i
$933$	32.6969	−	56.6328i	1.07045	−	1.85407i
$934$	−18.1609	−	15.2388i	−0.594243	−	0.498629i
$935$	1.49810	+	2.59478i	0.0489930	+	0.0848584i
$936$	−15.3743	+	26.6291i	−0.502526	+	0.870401i
$937$	31.9256	−	11.6200i	1.04296	−	0.379607i	0.236960	−	0.971519i	$-0.423849\pi$
$937$	31.9256	−	11.6200i	1.04296	−	0.379607i	0.806003	+	0.591912i	$0.201627\pi$
$938$	−36.5563	+	30.6744i	−1.19360	+	1.00155i
$939$	−28.6247	−	49.5795i	−0.934132	−	1.61796i
$940$	0.200701	−	1.13823i	0.00654614	−	0.0371250i
$941$	3.98043	−	22.5741i	0.129758	−	0.735896i	−0.848609	−	0.529020i	$-0.822559\pi$
$941$	3.98043	−	22.5741i	0.129758	−	0.735896i	0.978367	−	0.206875i	$-0.0663294\pi$
$942$	−35.4333	−	29.7320i	−1.15448	−	0.968722i
$943$	−4.52919	−	1.64849i	−0.147491	−	0.0536822i
$944$	−5.39472	−	1.96352i	−0.175583	−	0.0639070i
$945$	−20.1000	−	16.8659i	−0.653853	−	0.548647i
$946$	−0.0499470	+	0.283264i	−0.00162392	+	0.00920970i
$947$	−8.08973	+	45.8791i	−0.262881	+	1.49087i	0.512121	+	0.858913i	$0.328860\pi$
$947$	−8.08973	+	45.8791i	−0.262881	+	1.49087i	−0.775002	+	0.631959i	$0.782251\pi$
$948$	−4.08955	−	7.08330i	−0.132822	−	0.230055i
$949$	−75.0914	+	63.0092i	−2.43757	+	2.04536i
$950$	5.60681	−	2.04071i	0.181909	−	0.0662095i
$951$	29.7550	−	51.5372i	0.964872	−	1.67121i
$952$	15.6218	+	27.0577i	0.506305	+	0.876945i
$953$	−10.9994	−	9.22959i	−0.356305	−	0.298976i	0.447011	−	0.894529i	$-0.352489\pi$
$953$	−10.9994	−	9.22959i	−0.356305	−	0.298976i	−0.803316	+	0.595553i	$0.796933\pi$
$954$	15.5491	−	26.9318i	0.503420	−	0.871949i
$955$	−1.54303	−	8.75096i	−0.0499313	−	0.283175i
$956$	−8.75855			−0.283272
$957$	−0.800231	−	4.53833i	−0.0258678	−	0.146704i
$958$	−19.9129	+	16.7089i	−0.643357	+	0.539841i
$959$	34.1139	+	12.4165i	1.10160	+	0.400948i
$960$	−2.67866	+	0.974954i	−0.0864535	+	0.0314665i
$961$	−10.2058			−0.329220
$962$	−30.6747	+	19.7623i	−0.988992	+	0.637161i
$963$	−73.8720			−2.38049
$964$	1.42330	−	0.518039i	0.0458414	−	0.0166849i
$965$	−8.17911	−	2.97695i	−0.263295	−	0.0958315i
$966$	9.22579	−	7.74136i	0.296835	−	0.249074i
$967$	−7.47716	−	42.4051i	−0.240449	−	1.36365i	−0.830828	−	0.556529i	$-0.812133\pi$
$967$	−7.47716	−	42.4051i	−0.240449	−	1.36365i	0.590379	−	0.807126i	$-0.298978\pi$
$968$	10.8276			0.348011
$969$	−21.3109	−	120.860i	−0.684603	−	3.88258i
$970$	3.75971	−	6.51200i	0.120717	−	0.209088i
$971$	−23.7825	−	19.9559i	−0.763217	−	0.640415i	0.175745	−	0.984436i	$-0.443767\pi$
$971$	−23.7825	−	19.9559i	−0.763217	−	0.640415i	−0.938962	+	0.344021i	$0.888211\pi$
$972$	6.38683	+	11.0623i	0.204858	+	0.354824i
$973$	23.1688	−	40.1296i	0.742759	−	1.28650i
$974$	−1.34987	+	0.491314i	−0.0432527	+	0.0157427i
$975$	−13.0995	+	10.9918i	−0.419519	+	0.352018i
$976$	4.97493	+	8.61683i	0.159244	+	0.275818i
$977$	−3.20561	+	18.1799i	−0.102557	+	0.581628i	0.889611	+	0.456718i	$0.150975\pi$
$977$	−3.20561	+	18.1799i	−0.102557	+	0.581628i	−0.992168	+	0.124910i	$0.960136\pi$
$978$	−1.76134	+	9.98903i	−0.0563213	+	0.319414i
$979$	3.36238	+	2.82137i	0.107462	+	0.0901713i
$980$	−11.0407	−	4.01849i	−0.352683	−	0.128366i
$981$	43.6158	+	15.8748i	1.39254	+	0.506845i
$982$	−18.3482	−	15.3960i	−0.585515	−	0.491305i
$983$	0.463278	−	2.62738i	0.0147763	−	0.0838005i	−0.976528	−	0.215391i	$-0.930897\pi$
$983$	0.463278	−	2.62738i	0.0147763	−	0.0838005i	0.991304	+	0.131591i	$0.0420085\pi$
$984$	−2.44519	+	13.8674i	−0.0779498	+	0.442075i
$985$	8.38252	+	14.5190i	0.267089	+	0.462612i
$986$	−21.5195	+	18.0570i	−0.685322	+	0.575053i
$987$	13.4057	−	4.87927i	0.426708	−	0.155309i
$988$	17.8965	−	30.9976i	0.569363	−	0.986165i
$989$	−0.337935	−	0.585320i	−0.0107457	−	0.0186121i
$990$	−1.63048	−	1.36813i	−0.0518200	−	0.0434822i
$991$	−8.50500	+	14.7311i	−0.270170	+	0.467948i	−0.968905	−	0.247432i	$-0.920413\pi$
$991$	−8.50500	+	14.7311i	−0.270170	+	0.467948i	0.698735	+	0.715380i	$0.253747\pi$
$992$	−0.791847	−	4.49079i	−0.0251412	−	0.142583i
$993$	86.5398			2.74626
$994$	3.40062	+	19.2858i	0.107861	+	0.611710i
$995$	−0.951574	+	0.798466i	−0.0301669	+	0.0253131i
$996$	−33.0397	−	12.0255i	−1.04690	−	0.381041i
$997$	49.4991	−	18.0162i	1.56765	−	0.570579i	0.595180	−	0.803592i	$-0.297081\pi$
$997$	49.4991	−	18.0162i	1.56765	−	0.570579i	0.972474	+	0.233013i	$0.0748585\pi$
$998$	41.2383			1.30538
$999$	−1.79531	−	36.8158i	−0.0568011	−	1.16480i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.o.c.81.1	✓	24
37.16	even	9	inner	370.2.o.c.201.1	yes	24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.o.c.81.1	✓	24	1.1	even	1	trivial
370.2.o.c.201.1	yes	24	37.16	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)

\(f(q)\)	\(=\)	\(q+(0.939693 - 0.342020i) q^{2} +(-2.67866 - 0.974954i) q^{3} +(0.766044 - 0.642788i) q^{4} +(0.173648 + 0.984808i) q^{5} -2.85057 q^{6} +(-0.751904 - 4.26426i) q^{7} +(0.500000 - 0.866025i) q^{8} +(3.92657 + 3.29478i) q^{9} +O(q^{10})\)	\(q+(0.939693 - 0.342020i) q^{2} +(-2.67866 - 0.974954i) q^{3} +(0.766044 - 0.642788i) q^{4} +(0.173648 + 0.984808i) q^{5} -2.85057 q^{6} +(-0.751904 - 4.26426i) q^{7} +(0.500000 - 0.866025i) q^{8} +(3.92657 + 3.29478i) q^{9} +(0.500000 + 0.866025i) q^{10} +(-0.207621 + 0.359611i) q^{11} +(-2.67866 + 0.974954i) q^{12} +(-4.59538 + 3.85598i) q^{13} +(-2.16502 - 3.74993i) q^{14} +(0.494997 - 2.80727i) q^{15} +(0.173648 - 0.984808i) q^{16} +(-5.52741 - 4.63805i) q^{17} +(4.81665 + 1.75312i) q^{18} +(-5.60681 - 2.04071i) q^{19} +(0.766044 + 0.642788i) q^{20} +(-2.14336 + 12.1556i) q^{21} +(-0.0721061 + 0.408934i) q^{22} +(-0.487860 - 0.844998i) q^{23} +(-2.18367 + 1.83231i) q^{24} +(-0.939693 + 0.342020i) q^{25} +(-2.99942 + 5.19515i) q^{26} +(-3.02984 - 5.24783i) q^{27} +(-3.31701 - 2.78330i) q^{28} +(1.94662 - 3.37164i) q^{29} +(-0.494997 - 2.80727i) q^{30} +4.56006 q^{31} +(-0.173648 - 0.984808i) q^{32} +(0.906751 - 0.760855i) q^{33} +(-6.78038 - 2.46786i) q^{34} +(4.06891 - 1.48096i) q^{35} +5.12577 q^{36} +(5.40971 + 2.78119i) q^{37} -5.96665 q^{38} +(16.0689 - 5.84859i) q^{39} +(0.939693 + 0.342020i) q^{40} +(3.78411 - 3.17525i) q^{41} +(2.14336 + 12.1556i) q^{42} +0.692688 q^{43} +(0.0721061 + 0.408934i) q^{44} +(-2.56289 + 4.43905i) q^{45} +(-0.747444 - 0.627180i) q^{46} +(-0.577895 - 1.00094i) q^{47} +(-1.42529 + 2.46867i) q^{48} +(-11.0407 + 4.01849i) q^{49} +(-0.766044 + 0.642788i) q^{50} +(10.2842 + 17.8128i) q^{51} +(-1.04169 + 5.90770i) q^{52} +(1.05353 - 5.97484i) q^{53} +(-4.64198 - 3.89508i) q^{54} +(-0.390200 - 0.142021i) q^{55} +(-4.06891 - 1.48096i) q^{56} +(13.0292 + 10.9328i) q^{57} +(0.676053 - 3.83409i) q^{58} +(0.996903 - 5.65372i) q^{59} +(-1.42529 - 2.46867i) q^{60} +(-7.62204 + 6.39565i) q^{61} +(4.28506 - 1.55963i) q^{62} +(11.0974 - 19.2213i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-4.59538 - 3.85598i) q^{65} +(0.591840 - 1.02510i) q^{66} +(-1.91375 - 10.8534i) q^{67} -7.21553 q^{68} +(0.482978 + 2.73910i) q^{69} +(3.31701 - 2.78330i) q^{70} +(-4.24992 - 1.54684i) q^{71} +(4.81665 - 1.75312i) q^{72} +16.3406 q^{73} +(6.03469 + 0.763236i) q^{74} +2.85057 q^{75} +(-5.60681 + 2.04071i) q^{76} +(1.68958 + 0.614959i) q^{77} +(13.0995 - 10.9918i) q^{78} +(0.498245 + 2.82569i) q^{79} +1.00000 q^{80} +(0.329278 + 1.86743i) q^{81} +(2.46990 - 4.27800i) q^{82} +(9.44869 + 7.92839i) q^{83} +(6.17156 + 10.6894i) q^{84} +(3.60776 - 6.24883i) q^{85} +(0.650914 - 0.236913i) q^{86} +(-8.50153 + 7.13363i) q^{87} +(0.207621 + 0.359611i) q^{88} +(1.83553 - 10.4098i) q^{89} +(-0.890081 + 5.04790i) q^{90} +(19.8982 + 16.6966i) q^{91} +(-0.916876 - 0.333716i) q^{92} +(-12.2149 - 4.44585i) q^{93} +(-0.885386 - 0.742927i) q^{94} +(1.03610 - 5.87600i) q^{95} +(-0.494997 + 2.80727i) q^{96} +(-3.75971 - 6.51200i) q^{97} +(-9.00047 + 7.55229i) q^{98} +(-2.00008 + 0.727969i) 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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