LMFDB - Embedded newform 273.2.bz.b.73.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(31,273)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 2, 9]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("273.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.bz (of order $12$, degree $4$, 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:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$36$
Relative dimension:	$9$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			73.5
Character	$\chi$	$=$	273.73
Dual form			273.2.bz.b.187.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.0608509 - 0.227099i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(1.68418 + 0.972362i) q^{4} +(-3.32462 - 0.890829i) q^{5} +(-0.166248 + 0.166248i) q^{6} +(-2.22038 - 1.43872i) q^{7} +(0.655801 - 0.655801i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})$	\(q+(0.0608509 - 0.227099i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(1.68418 + 0.972362i) q^{4} +(-3.32462 - 0.890829i) q^{5} +(-0.166248 + 0.166248i) q^{6} +(-2.22038 - 1.43872i) q^{7} +(0.655801 - 0.655801i) q^{8} +(0.500000 + 0.866025i) q^{9} +(-0.404612 + 0.700809i) q^{10} +(-1.42506 - 5.31839i) q^{11} +(-0.972362 - 1.68418i) q^{12} +(-3.57626 - 0.458655i) q^{13} +(-0.461842 + 0.416699i) q^{14} +(2.43379 + 2.43379i) q^{15} +(1.83570 + 3.17952i) q^{16} +(2.51472 - 4.35563i) q^{17} +(0.227099 - 0.0608509i) q^{18} +(0.716504 + 0.191987i) q^{19} +(-4.73305 - 4.73305i) q^{20} +(1.20355 + 2.35616i) q^{21} -1.29452 q^{22} +(-6.29627 + 3.63515i) q^{23} +(-0.895841 + 0.240040i) q^{24} +(5.92939 + 3.42334i) q^{25} +(-0.321779 + 0.784254i) q^{26} -1.00000i q^{27} +(-2.34057 - 4.58207i) q^{28} +2.36544 q^{29} +(0.700809 - 0.404612i) q^{30} +(-0.332250 - 1.23997i) q^{31} +(2.62545 - 0.703488i) q^{32} +(-1.42506 + 5.31839i) q^{33} +(-0.836134 - 0.836134i) q^{34} +(6.10028 + 6.76116i) q^{35} +1.94472i q^{36} +(0.422970 + 0.113334i) q^{37} +(0.0871998 - 0.151035i) q^{38} +(2.86780 + 2.18534i) q^{39} +(-2.76450 + 1.59608i) q^{40} +(-3.07029 + 3.07029i) q^{41} +(0.608317 - 0.129950i) q^{42} -9.87703i q^{43} +(2.77135 - 10.3428i) q^{44} +(-0.890829 - 3.32462i) q^{45} +(0.442404 + 1.65108i) q^{46} +(-1.03170 + 3.85035i) q^{47} -3.67140i q^{48} +(2.86020 + 6.38900i) q^{49} +(1.13824 - 1.13824i) q^{50} +(-4.35563 + 2.51472i) q^{51} +(-5.57709 - 4.24988i) q^{52} +(-0.901954 + 1.56223i) q^{53} +(-0.227099 - 0.0608509i) q^{54} +18.9511i q^{55} +(-2.39964 + 0.512619i) q^{56} +(-0.524517 - 0.524517i) q^{57} +(0.143939 - 0.537189i) q^{58} +(7.05662 - 1.89082i) q^{59} +(1.73242 + 6.46547i) q^{60} +(8.78155 - 5.07003i) q^{61} -0.301814 q^{62} +(0.135772 - 2.64227i) q^{63} +6.70375i q^{64} +(11.4811 + 4.71069i) q^{65} +(1.12108 + 0.647258i) q^{66} +(14.3058 - 3.83324i) q^{67} +(8.47049 - 4.89044i) q^{68} +7.27030 q^{69} +(1.90666 - 0.973942i) q^{70} +(-1.61932 - 1.61932i) q^{71} +(0.895841 + 0.240040i) q^{72} +(-2.63031 + 0.704789i) q^{73} +(0.0514762 - 0.0891594i) q^{74} +(-3.42334 - 5.92939i) q^{75} +(1.02004 + 1.02004i) q^{76} +(-4.48748 + 13.8591i) q^{77} +(0.670795 - 0.518295i) q^{78} +(-3.66131 - 6.34158i) q^{79} +(-3.27059 - 12.2060i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(0.510429 + 0.884090i) q^{82} +(-1.05837 + 1.05837i) q^{83} +(-0.264040 + 5.13848i) q^{84} +(-12.2406 + 12.2406i) q^{85} +(-2.24306 - 0.601026i) q^{86} +(-2.04853 - 1.18272i) q^{87} +(-4.42237 - 2.55325i) q^{88} +(0.370581 - 1.38303i) q^{89} -0.809224 q^{90} +(7.28079 + 6.16361i) q^{91} -14.1387 q^{92} +(-0.332250 + 1.23997i) q^{93} +(0.811630 + 0.468595i) q^{94} +(-2.21108 - 1.27657i) q^{95} +(-2.62545 - 0.703488i) q^{96} +(-3.29926 + 3.29926i) q^{97} +(1.62498 - 0.260771i) q^{98} +(3.89333 - 3.89333i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 36 q + 4 q^{7} + 18 q^{9}+O(q^{10}) $ 36 * q + 4 * q^7 + 18 * q^9	$ 36 q + 4 q^{7} + 18 q^{9} + 4 q^{11} + 16 q^{12} - 36 q^{14} + 12 q^{16} - 4 q^{17} - 12 q^{19} - 44 q^{20} + 6 q^{21} - 8 q^{22} + 12 q^{23} - 18 q^{24} + 48 q^{25} - 28 q^{26} + 12 q^{28} - 16 q^{29} - 56 q^{32} + 4 q^{33} + 48 q^{34} + 8 q^{35} + 22 q^{37} - 16 q^{38} - 8 q^{39} + 60 q^{40} + 32 q^{41} + 12 q^{42} + 4 q^{44} - 44 q^{46} - 14 q^{47} - 6 q^{49} - 68 q^{50} + 12 q^{51} - 82 q^{52} - 8 q^{53} + 8 q^{56} - 6 q^{57} - 84 q^{58} + 70 q^{59} + 2 q^{60} + 36 q^{61} - 48 q^{62} + 2 q^{63} - 8 q^{65} + 38 q^{67} + 36 q^{68} + 8 q^{69} - 40 q^{70} - 36 q^{71} + 18 q^{72} - 46 q^{73} + 40 q^{74} - 10 q^{75} + 60 q^{76} - 60 q^{77} + 32 q^{78} - 38 q^{80} - 18 q^{81} - 24 q^{83} + 38 q^{84} + 44 q^{85} - 24 q^{86} + 36 q^{87} - 168 q^{88} + 38 q^{89} - 14 q^{91} - 40 q^{92} + 56 q^{96} - 36 q^{97} + 58 q^{98} + 8 q^{99}+O(q^{100}) $ 36 * q + 4 * q^7 + 18 * q^9 + 4 * q^11 + 16 * q^12 - 36 * q^14 + 12 * q^16 - 4 * q^17 - 12 * q^19 - 44 * q^20 + 6 * q^21 - 8 * q^22 + 12 * q^23 - 18 * q^24 + 48 * q^25 - 28 * q^26 + 12 * q^28 - 16 * q^29 - 56 * q^32 + 4 * q^33 + 48 * q^34 + 8 * q^35 + 22 * q^37 - 16 * q^38 - 8 * q^39 + 60 * q^40 + 32 * q^41 + 12 * q^42 + 4 * q^44 - 44 * q^46 - 14 * q^47 - 6 * q^49 - 68 * q^50 + 12 * q^51 - 82 * q^52 - 8 * q^53 + 8 * q^56 - 6 * q^57 - 84 * q^58 + 70 * q^59 + 2 * q^60 + 36 * q^61 - 48 * q^62 + 2 * q^63 - 8 * q^65 + 38 * q^67 + 36 * q^68 + 8 * q^69 - 40 * q^70 - 36 * q^71 + 18 * q^72 - 46 * q^73 + 40 * q^74 - 10 * q^75 + 60 * q^76 - 60 * q^77 + 32 * q^78 - 38 * q^80 - 18 * q^81 - 24 * q^83 + 38 * q^84 + 44 * q^85 - 24 * q^86 + 36 * q^87 - 168 * q^88 + 38 * q^89 - 14 * q^91 - 40 * q^92 + 56 * q^96 - 36 * q^97 + 58 * q^98 + 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$1$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{1}{6}\right)$

Coefficient data

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

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

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

$2$	0.0608509	−	0.227099i	0.0430281	−	0.160583i	−0.941069	−	0.338215i	$-0.890177\pi$
$2$	0.0608509	−	0.227099i	0.0430281	−	0.160583i	0.984097	+	0.177632i	$0.0568436\pi$
$3$	−0.866025	−	0.500000i	−0.500000	−	0.288675i
$3$	−0.866025	−	0.500000i	−0.500000	−	0.288675i
$4$	1.68418	+	0.972362i	0.842090	+	0.486181i
$5$	−3.32462	−	0.890829i	−1.48682	−	0.398391i	−0.578155	−	0.815927i	$-0.696227\pi$
$5$	−3.32462	−	0.890829i	−1.48682	−	0.398391i	−0.908660	+	0.417536i	$0.862894\pi$
$6$	−0.166248	+	0.166248i	−0.0678703	+	0.0678703i
$7$	−2.22038	−	1.43872i	−0.839226	−	0.543783i
$7$	−2.22038	−	1.43872i	−0.839226	−	0.543783i
$8$	0.655801	−	0.655801i	0.231861	−	0.231861i
$9$	0.500000	+	0.866025i	0.166667	+	0.288675i
$10$	−0.404612	+	0.700809i	−0.127950	+	0.221615i
$11$	−1.42506	−	5.31839i	−0.429672	−	1.60356i	−0.753505	−	0.657442i	$-0.771638\pi$
$11$	−1.42506	−	5.31839i	−0.429672	−	1.60356i	0.323833	−	0.946114i	$-0.395028\pi$
$12$	−0.972362	−	1.68418i	−0.280697	−	0.486181i
$13$	−3.57626	−	0.458655i	−0.991876	−	0.127208i
$13$	−3.57626	−	0.458655i	−0.991876	−	0.127208i
$14$	−0.461842	+	0.416699i	−0.123433	+	0.111367i
$15$	2.43379	+	2.43379i	0.628402	+	0.628402i
$16$	1.83570	+	3.17952i	0.458924	+	0.794881i
$17$	2.51472	−	4.35563i	0.609910	−	1.05639i	−0.381345	−	0.924433i	$-0.624539\pi$
$17$	2.51472	−	4.35563i	0.609910	−	1.05639i	0.991255	−	0.131962i	$-0.0421277\pi$
$18$	0.227099	−	0.0608509i	0.0535277	−	0.0143427i
$19$	0.716504	+	0.191987i	0.164377	+	0.0440448i	0.340069	−	0.940400i	$-0.389550\pi$
$19$	0.716504	+	0.191987i	0.164377	+	0.0440448i	−0.175692	+	0.984445i	$0.556216\pi$
$20$	−4.73305	−	4.73305i	−1.05834	−	1.05834i
$21$	1.20355	+	2.35616i	0.262636	+	0.514155i
$22$	−1.29452			−0.275992
$23$	−6.29627	+	3.63515i	−1.31286	+	0.757981i	−0.982569	−	0.185897i	$-0.940481\pi$
$23$	−6.29627	+	3.63515i	−1.31286	+	0.757981i	−0.330293	+	0.943878i	$0.607148\pi$
$24$	−0.895841	+	0.240040i	−0.182863	+	0.0489979i
$25$	5.92939	+	3.42334i	1.18588	+	0.684667i
$26$	−0.321779	+	0.784254i	−0.0631060	+	0.153805i
$27$		−	1.00000i		−	0.192450i
$28$	−2.34057	−	4.58207i	−0.442327	−	0.865930i
$29$	2.36544			0.439252			0.219626	−	0.975584i	$-0.429516\pi$
$29$	2.36544			0.439252			0.219626	+	0.975584i	$0.429516\pi$
$30$	0.700809	−	0.404612i	0.127950	−	0.0738717i
$31$	−0.332250	−	1.23997i	−0.0596739	−	0.222706i	0.929649	−	0.368446i	$-0.120110\pi$
$31$	−0.332250	−	1.23997i	−0.0596739	−	0.222706i	−0.989323	+	0.145740i	$0.953444\pi$
$32$	2.62545	−	0.703488i	0.464119	−	0.124360i
$33$	−1.42506	+	5.31839i	−0.248071	+	0.925814i
$34$	−0.836134	−	0.836134i	−0.143396	−	0.143396i
$35$	6.10028	+	6.76116i	1.03114	+	1.14284i
$36$			1.94472i			0.324121i
$37$	0.422970	+	0.113334i	0.0695358	+	0.0186321i	0.293419	−	0.955984i	$-0.405207\pi$
$37$	0.422970	+	0.113334i	0.0695358	+	0.0186321i	−0.223883	+	0.974616i	$0.571873\pi$
$38$	0.0871998	−	0.151035i	0.0141457	−	0.0245010i
$39$	2.86780	+	2.18534i	0.459216	+	0.349934i
$40$	−2.76450	+	1.59608i	−0.437105	+	0.252363i
$41$	−3.07029	+	3.07029i	−0.479499	+	0.479499i	−0.904972	−	0.425472i	$-0.860108\pi$
$41$	−3.07029	+	3.07029i	−0.479499	+	0.479499i	0.425472	+	0.904972i	$0.360108\pi$
$42$	0.608317	−	0.129950i	0.0938653	−	0.0200518i
$43$		−	9.87703i		−	1.50623i	−0.657887	−	0.753116i	$-0.728550\pi$
$43$		−	9.87703i		−	1.50623i	0.657887	−	0.753116i	$-0.271450\pi$
$44$	2.77135	−	10.3428i	0.417796	−	1.55924i
$45$	−0.890829	−	3.32462i	−0.132797	−	0.495605i
$46$	0.442404	+	1.65108i	0.0652290	+	0.243438i
$47$	−1.03170	+	3.85035i	−0.150489	+	0.561632i	0.848961	+	0.528456i	$0.177229\pi$
$47$	−1.03170	+	3.85035i	−0.150489	+	0.561632i	−0.999450	+	0.0331758i	$0.989438\pi$
$48$		−	3.67140i		−	0.529920i
$49$	2.86020	+	6.38900i	0.408600	+	0.912714i
$50$	1.13824	−	1.13824i	0.160972	−	0.160972i
$51$	−4.35563	+	2.51472i	−0.609910	+	0.352132i
$52$	−5.57709	−	4.24988i	−0.773403	−	0.589352i
$53$	−0.901954	+	1.56223i	−0.123893	+	0.214589i	−0.921300	−	0.388853i	$-0.872871\pi$
$53$	−0.901954	+	1.56223i	−0.123893	+	0.214589i	0.797407	+	0.603442i	$0.206205\pi$
$54$	−0.227099	−	0.0608509i	−0.0309042	−	0.00828076i
$55$			18.9511i			2.55537i
$56$	−2.39964	+	0.512619i	−0.320665	+	0.0685015i
$57$	−0.524517	−	0.524517i	−0.0694740	−	0.0694740i
$58$	0.143939	−	0.537189i	0.0189002	−	0.0705364i
$59$	7.05662	−	1.89082i	0.918694	−	0.246163i	0.231667	−	0.972795i	$-0.425582\pi$
$59$	7.05662	−	1.89082i	0.918694	−	0.246163i	0.687027	+	0.726632i	$0.258915\pi$
$60$	1.73242	+	6.46547i	0.223654	+	0.834688i
$61$	8.78155	−	5.07003i	1.12436	−	0.649151i	0.181851	−	0.983326i	$-0.441791\pi$
$61$	8.78155	−	5.07003i	1.12436	−	0.649151i	0.942511	+	0.334175i	$0.108458\pi$
$62$	−0.301814			−0.0383304
$63$	0.135772	−	2.64227i	0.0171057	−	0.332894i
$64$			6.70375i			0.837968i
$65$	11.4811	+	4.71069i	1.42406	+	0.584289i
$66$	1.12108	+	0.647258i	0.137996	+	0.0796720i
$67$	14.3058	−	3.83324i	1.74774	−	0.468304i	0.763595	−	0.645695i	$-0.223432\pi$
$67$	14.3058	−	3.83324i	1.74774	−	0.468304i	0.984140	+	0.177391i	$0.0567658\pi$
$68$	8.47049	−	4.89044i	1.02720	−	0.593053i
$69$	7.27030			0.875242
$70$	1.90666	−	0.973942i	0.227889	−	0.116408i
$71$	−1.61932	−	1.61932i	−0.192178	−	0.192178i	0.604459	−	0.796637i	$-0.293389\pi$
$71$	−1.61932	−	1.61932i	−0.192178	−	0.192178i	−0.796637	+	0.604459i	$0.793389\pi$
$72$	0.895841	+	0.240040i	0.105576	+	0.0282890i
$73$	−2.63031	+	0.704789i	−0.307854	+	0.0824893i	−0.409439	−	0.912338i	$-0.634275\pi$
$73$	−2.63031	+	0.704789i	−0.307854	+	0.0824893i	0.101584	+	0.994827i	$0.467609\pi$
$74$	0.0514762	−	0.0891594i	0.00598399	−	0.0103646i
$75$	−3.42334	−	5.92939i	−0.395293	−	0.684667i
$76$	1.02004	+	1.02004i	0.117007	+	0.117007i
$77$	−4.48748	+	13.8591i	−0.511395	+	1.57939i
$78$	0.670795	−	0.518295i	0.0759526	−	0.0586853i
$79$	−3.66131	−	6.34158i	−0.411930	−	0.713484i	0.583171	−	0.812350i	$-0.301812\pi$
$79$	−3.66131	−	6.34158i	−0.411930	−	0.713484i	−0.995101	+	0.0988660i	$0.968478\pi$
$80$	−3.27059	−	12.2060i	−0.365663	−	1.36467i
$81$	−0.500000	+	0.866025i	−0.0555556	+	0.0962250i
$82$	0.510429	+	0.884090i	0.0563675	+	0.0976314i
$83$	−1.05837	+	1.05837i	−0.116171	+	0.116171i	−0.762803	−	0.646631i	$-0.776177\pi$
$83$	−1.05837	+	1.05837i	−0.116171	+	0.116171i	0.646631	+	0.762803i	$0.276177\pi$
$84$	−0.264040	+	5.13848i	−0.0288091	+	0.560654i
$85$	−12.2406	+	12.2406i	−1.32768	+	1.32768i
$86$	−2.24306	−	0.601026i	−0.241875	−	0.0648103i
$87$	−2.04853	−	1.18272i	−0.219626	−	0.126801i
$88$	−4.42237	−	2.55325i	−0.471426	−	0.272178i
$89$	0.370581	−	1.38303i	0.0392815	−	0.146600i	−0.943500	−	0.331373i	$-0.892488\pi$
$89$	0.370581	−	1.38303i	0.0392815	−	0.146600i	0.982781	+	0.184772i	$0.0591548\pi$
$90$	−0.809224			−0.0852997
$91$	7.28079	+	6.16361i	0.763234	+	0.646122i
$92$	−14.1387			−1.47406
$93$	−0.332250	+	1.23997i	−0.0344527	+	0.128579i
$94$	0.811630	+	0.468595i	0.0837132	+	0.0483319i
$95$	−2.21108	−	1.27657i	−0.226852	−	0.130973i
$96$	−2.62545	−	0.703488i	−0.267959	−	0.0717994i
$97$	−3.29926	+	3.29926i	−0.334989	+	0.334989i	−0.854477	−	0.519489i	$-0.826122\pi$
$97$	−3.29926	+	3.29926i	−0.334989	+	0.334989i	0.519489	+	0.854477i	$0.326122\pi$
$98$	1.62498	−	0.260771i	0.164148	−	0.0263418i
$99$	3.89333	−	3.89333i	0.391295	−	0.391295i
$100$	6.65744	+	11.5310i	0.665744	+	1.15310i
$101$	2.38348	−	4.12831i	0.237165	−	0.410782i	−0.722735	−	0.691126i	$-0.757115\pi$
$101$	2.38348	−	4.12831i	0.237165	−	0.410782i	0.959900	+	0.280344i	$0.0904484\pi$
$102$	0.306046	+	1.14218i	0.0303031	+	0.113093i
$103$	−3.68011	−	6.37415i	−0.362612	−	0.628063i	0.625777	−	0.780002i	$-0.284782\pi$
$103$	−3.68011	−	6.37415i	−0.362612	−	0.628063i	−0.988390	+	0.151938i	$0.951448\pi$
$104$	−2.64610	+	2.04453i	−0.259472	+	0.200483i
$105$	−1.90242	−	8.90548i	−0.185657	−	0.869086i
$106$	0.299896	+	0.299896i	0.0291284	+	0.0291284i
$107$	−8.70327	−	15.0745i	−0.841377	−	1.45731i	−0.888731	−	0.458430i	$-0.848412\pi$
$107$	−8.70327	−	15.0745i	−0.841377	−	1.45731i	0.0473536	−	0.998878i	$-0.484921\pi$
$108$	0.972362	−	1.68418i	0.0935655	−	0.162060i
$109$	−8.96872	+	2.40316i	−0.859048	+	0.230181i	−0.661346	−	0.750081i	$-0.730014\pi$
$109$	−8.96872	+	2.40316i	−0.859048	+	0.230181i	−0.197702	+	0.980262i	$0.563348\pi$
$110$	4.30377	+	1.15319i	0.410349	+	0.109953i
$111$	−0.309636	−	0.309636i	−0.0293893	−	0.0293893i
$112$	0.498474	−	9.70080i	0.0471014	−	0.916640i
$113$	−6.91005			−0.650043			−0.325021	−	0.945707i	$-0.605371\pi$
$113$	−6.91005			−0.650043			−0.325021	+	0.945707i	$0.605371\pi$
$114$	−0.151035	+	0.0871998i	−0.0141457	+	0.00816701i
$115$	24.1710	−	6.47660i	2.25396	−	0.603946i
$116$	3.98383	+	2.30007i	0.369890	+	0.213556i
$117$	−1.39092	−	3.32646i	−0.128591	−	0.307531i
$118$		−	1.71761i		−	0.158119i
$119$	−11.8502	+	6.05319i	−1.08630	+	0.554895i
$120$	3.19217			0.291404
$121$	−16.7282	+	9.65806i	−1.52075	+	0.878005i
$122$	−0.617032	−	2.30279i	−0.0558634	−	0.208485i
$123$	4.19410	−	1.12381i	0.378169	−	0.101330i
$124$	0.646135	−	2.41141i	0.0580246	−	0.216551i
$125$	−4.49441	−	4.49441i	−0.401993	−	0.401993i
$126$	−0.591793	−	0.191618i	−0.0527211	−	0.0170707i
$127$		−	16.0740i		−	1.42634i	−0.700993	−	0.713168i	$-0.747260\pi$
$127$		−	16.0740i		−	1.42634i	0.700993	−	0.713168i	$-0.252740\pi$
$128$	6.77331	+	1.81490i	0.598682	+	0.160416i
$129$	−4.93851	+	8.55376i	−0.434812	+	0.753116i
$130$	1.76843	−	2.32070i	0.155101	−	0.203539i
$131$	−0.472701	+	0.272914i	−0.0413001	+	0.0238446i	−0.520508	−	0.853857i	$-0.674257\pi$
$131$	−0.472701	+	0.272914i	−0.0413001	+	0.0238446i	0.479208	+	0.877701i	$0.340924\pi$
$132$	−7.57146	+	7.57146i	−0.659011	+	0.659011i
$133$	−1.31470	−	1.45713i	−0.113999	−	0.126349i
$134$		−	3.48209i		−	0.300807i
$135$	−0.890829	+	3.32462i	−0.0766704	+	0.286138i
$136$	−1.20727	−	4.50558i	−0.103522	−	0.386351i
$137$	−0.541310	−	2.02019i	−0.0462472	−	0.172597i	0.938939	−	0.344082i	$-0.111810\pi$
$137$	−0.541310	−	2.02019i	−0.0462472	−	0.172597i	−0.985187	+	0.171486i	$0.945143\pi$
$138$	0.442404	−	1.65108i	0.0376600	−	0.140549i
$139$		−	14.5255i		−	1.23204i	−0.787731	−	0.616020i	$-0.788744\pi$
$139$		−	14.5255i		−	1.23204i	0.787731	−	0.616020i	$-0.211256\pi$
$140$	3.69967	+	17.3187i	0.312679	+	1.46370i
$141$	2.81865	−	2.81865i	0.237373	−	0.237373i
$142$	−0.466282	+	0.269208i	−0.0391295	+	0.0225914i
$143$	2.65707	+	19.6736i	0.222196	+	1.64519i
$144$	−1.83570	+	3.17952i	−0.152975	+	0.264960i
$145$	−7.86420	−	2.10721i	−0.653086	−	0.174994i
$146$			0.640227i			0.0529855i
$147$	0.717494	−	6.96313i	0.0591779	−	0.574309i
$148$	0.602155	+	0.602155i	0.0494969	+	0.0494969i
$149$	1.74659	−	6.51835i	0.143086	−	0.534004i	−0.856747	−	0.515737i	$-0.827518\pi$
$149$	1.74659	−	6.51835i	0.143086	−	0.534004i	0.999833	−	0.0182673i	$-0.00581499\pi$
$150$	−1.55487	+	0.416626i	−0.126955	+	0.0340174i
$151$	1.11755	+	4.17074i	0.0909446	+	0.339410i	0.996373	−	0.0850882i	$-0.0271172\pi$
$151$	1.11755	+	4.17074i	0.0909446	+	0.339410i	−0.905429	+	0.424498i	$0.860451\pi$
$152$	0.595789	−	0.343979i	0.0483249	−	0.0279004i
$153$	5.02945			0.406607
$154$	2.87432	+	1.86244i	0.231619	+	0.150080i
$155$			4.41842i			0.354896i
$156$	2.70496	+	6.46904i	0.216570	+	0.517938i
$157$	−10.9601	−	6.32785i	−0.874715	−	0.505017i	−0.00580290	−	0.999983i	$-0.501847\pi$
$157$	−10.9601	−	6.32785i	−0.874715	−	0.505017i	−0.868912	+	0.494966i	$0.835180\pi$
$158$	−1.66296	+	0.445588i	−0.132298	+	0.0354491i
$159$	1.56223	−	0.901954i	0.123893	−	0.0715296i
$160$	−9.35531			−0.739603
$161$	19.2101	+	0.987107i	1.51397	+	0.0777949i
$162$	0.166248	+	0.166248i	0.0130617	+	0.0130617i
$163$	−18.0985	−	4.84948i	−1.41758	−	0.379841i	−0.532958	−	0.846142i	$-0.678920\pi$
$163$	−18.0985	−	4.84948i	−1.41758	−	0.379841i	−0.884626	+	0.466301i	$0.845586\pi$
$164$	−8.15636	+	2.18549i	−0.636905	+	0.170658i
$165$	9.47556	−	16.4122i	0.737671	−	1.27768i
$166$	0.175952	+	0.304757i	0.0136565	+	0.0236537i
$167$	11.8749	+	11.8749i	0.918908	+	0.918908i	0.996950	−	0.0780420i	$-0.0248668\pi$
$167$	11.8749	+	11.8749i	0.918908	+	0.918908i	−0.0780420	+	0.996950i	$0.524867\pi$
$168$	2.33446	+	0.755880i	0.180107	+	0.0583174i
$169$	12.5793	+	3.28054i	0.967636	+	0.252349i
$170$	2.03497	+	3.52468i	0.156075	+	0.270331i
$171$	0.191987	+	0.716504i	0.0146816	+	0.0547924i
$172$	9.60404	−	16.6347i	0.732301	−	1.26838i
$173$	7.14413	+	12.3740i	0.543158	+	0.940777i	0.998720	+	0.0505733i	$0.0161048\pi$
$173$	7.14413	+	12.3740i	0.543158	+	0.940777i	−0.455562	+	0.890204i	$0.650562\pi$
$174$	−0.393250	+	0.393250i	−0.0298122	+	0.0298122i
$175$	−8.24031	−	16.1318i	−0.622909	−	1.21945i
$176$	14.2940	−	14.2940i	1.07745	−	1.07745i
$177$	−7.05662	−	1.89082i	−0.530408	−	0.142122i
$178$	−0.291533	−	0.168317i	−0.0218513	−	0.0126159i
$179$	−3.39548	−	1.96038i	−0.253790	−	0.146526i	0.367708	−	0.929941i	$-0.380142\pi$
$179$	−3.39548	−	1.96038i	−0.253790	−	0.146526i	−0.621498	+	0.783415i	$0.713476\pi$
$180$	1.73242	−	6.46547i	0.129127	−	0.481907i
$181$	−7.28744			−0.541671			−0.270835	−	0.962626i	$-0.587300\pi$
$181$	−7.28744			−0.541671			−0.270835	+	0.962626i	$0.587300\pi$
$182$	1.84279	−	1.27840i	0.136597	−	0.0947611i
$183$	−10.1401			−0.749575
$184$	−1.74516	+	6.51304i	−0.128655	+	0.480147i
$185$	−1.30525	−	0.753588i	−0.0959641	−	0.0554049i
$186$	0.261379	+	0.150907i	0.0191652	+	0.0110650i
$187$	−26.7486	−	7.16726i	−1.95605	−	0.524122i
$188$	−5.48150	+	5.48150i	−0.399780	+	0.399780i
$189$	−1.43872	+	2.22038i	−0.104651	+	0.161509i
$190$	−0.424452	+	0.424452i	−0.0307930	+	0.0307930i
$191$	11.2515	+	19.4881i	0.814126	+	1.41011i	0.909953	+	0.414710i	$0.136117\pi$
$191$	11.2515	+	19.4881i	0.814126	+	1.41011i	−0.0958270	+	0.995398i	$0.530550\pi$
$192$	3.35187	−	5.80562i	0.241901	−	0.418984i
$193$	3.82041	+	14.2580i	0.274999	+	1.02631i	0.955842	+	0.293881i	$0.0949470\pi$
$193$	3.82041	+	14.2580i	0.274999	+	1.02631i	−0.680843	+	0.732429i	$0.738386\pi$
$194$	0.548494	+	0.950019i	0.0393796	+	0.0682074i
$195$	−7.58760	−	9.82014i	−0.543359	−	0.703235i
$196$	−1.39533	+	13.5414i	−0.0996662	+	0.967240i
$197$	−0.134047	−	0.134047i	−0.00955044	−	0.00955044i	0.702315	−	0.711866i	$-0.252150\pi$
$197$	−0.134047	−	0.134047i	−0.00955044	−	0.00955044i	−0.711866	+	0.702315i	$0.752150\pi$
$198$	−0.647258	−	1.12108i	−0.0459986	−	0.0796720i
$199$	8.42773	−	14.5972i	0.597426	−	1.03477i	−0.395774	−	0.918348i	$-0.629524\pi$
$199$	8.42773	−	14.5972i	0.597426	−	1.03477i	0.993200	−	0.116424i	$-0.0371430\pi$
$200$	6.13353	−	1.64347i	0.433706	−	0.116211i
$201$	−14.3058	−	3.83324i	−1.00906	−	0.270376i
$202$	−0.792496	−	0.792496i	−0.0557598	−	0.0557598i
$203$	−5.25219	−	3.40320i	−0.368631	−	0.238858i
$204$	−9.78088			−0.684799
$205$	12.9427	−	7.47245i	0.903955	−	0.521899i
$206$	−1.67150	+	0.447876i	−0.116459	+	0.0312050i
$207$	−6.29627	−	3.63515i	−0.437621	−	0.252660i
$208$	−5.10663	−	12.2127i	−0.354081	−	0.846802i
$209$		−	4.08424i		−	0.282513i
$210$	−2.13819	−	0.109870i	−0.147549	−	0.00758177i
$211$	20.8863			1.43787			0.718935	−	0.695077i	$-0.244630\pi$
$211$	20.8863			1.43787			0.718935	+	0.695077i	$0.244630\pi$
$212$	−3.03811	+	1.75405i	−0.208658	+	0.120469i
$213$	0.592712	+	2.21203i	0.0406120	+	0.151566i
$214$	−3.95300	+	1.05920i	−0.270222	+	0.0724057i
$215$	−8.79874	+	32.8374i	−0.600069	+	2.23949i
$216$	−0.655801	−	0.655801i	−0.0446216	−	0.0446216i
$217$	−1.04625	+	3.23123i	−0.0710239	+	0.219350i
$218$			2.18302i			0.147853i
$219$	2.63031	+	0.704789i	0.177740	+	0.0476252i
$220$	−18.4273	+	31.9171i	−1.24237	+	2.15185i
$221$	−10.9910	+	14.4235i	−0.739337	+	0.970227i
$222$	−0.0891594	+	0.0514762i	−0.00598399	+	0.00345486i
$223$	19.9005	−	19.9005i	1.33263	−	1.33263i	0.429629	−	0.903005i	$-0.358644\pi$
$223$	19.9005	−	19.9005i	1.33263	−	1.33263i	0.903005	−	0.429629i	$-0.141356\pi$
$224$	−6.84162	−	2.21526i	−0.457125	−	0.148014i
$225$			6.84667i			0.456445i
$226$	−0.420483	+	1.56926i	−0.0279701	+	0.104386i
$227$	−4.91087	−	18.3276i	−0.325946	−	1.21645i	−0.913358	−	0.407158i	$-0.866520\pi$
$227$	−4.91087	−	18.3276i	−0.325946	−	1.21645i	0.587412	−	0.809288i	$-0.300147\pi$
$228$	−0.373361	−	1.39340i	−0.0247264	−	0.0922803i
$229$	−4.85223	+	18.1088i	−0.320644	+	1.19666i	0.597974	+	0.801515i	$0.295973\pi$
$229$	−4.85223	+	18.1088i	−0.320644	+	1.19666i	−0.918618	+	0.395146i	$0.870694\pi$
$230$		−	5.88331i		−	0.387934i
$231$	10.8158	−	9.75862i	0.711629	−	0.642070i
$232$	1.55126	−	1.55126i	0.101845	−	0.101845i
$233$	6.86634	−	3.96428i	0.449829	−	0.259709i	−0.257929	−	0.966164i	$-0.583040\pi$
$233$	6.86634	−	3.96428i	0.449829	−	0.259709i	0.707758	+	0.706455i	$0.249707\pi$
$234$	−0.840073	+	0.113459i	−0.0549173	+	0.00741702i
$235$	6.86001	−	11.8819i	0.447498	−	0.775089i
$236$	13.7232	+	3.67711i	0.893303	+	0.239360i
$237$			7.32263i			0.475656i
$238$	0.653579	+	3.05950i	0.0423652	+	0.198318i
$239$	−18.3944	−	18.3944i	−1.18983	−	1.18983i	−0.977113	−	0.212720i	$-0.931768\pi$
$239$	−18.3944	−	18.3944i	−1.18983	−	1.18983i	−0.212720	−	0.977113i	$-0.568232\pi$
$240$	−3.27059	+	12.2060i	−0.211115	+	0.787894i
$241$	5.61173	−	1.50366i	0.361483	−	0.0968591i	−0.0735061	−	0.997295i	$-0.523419\pi$
$241$	5.61173	−	1.50366i	0.361483	−	0.0968591i	0.434989	+	0.900436i	$0.356752\pi$
$242$	1.17540	+	4.38666i	0.0755577	+	0.281985i
$243$	0.866025	−	0.500000i	0.0555556	−	0.0320750i
$244$	19.7196			1.26242
$245$	−3.81757	−	23.7889i	−0.243895	−	1.51982i
$246$		−	1.02086i		−	0.0650876i
$247$	−2.47435	−	1.01522i	−0.157439	−	0.0645971i
$248$	−1.03107	−	0.595287i	−0.0654728	−	0.0378008i
$249$	1.44576	−	0.387390i	0.0916213	−	0.0245499i
$250$	−1.29416	+	0.747186i	−0.0818501	+	0.0472562i
$251$	−7.54328			−0.476128			−0.238064	−	0.971250i	$-0.576513\pi$
$251$	−7.54328			−0.476128			−0.238064	+	0.971250i	$0.576513\pi$
$252$	2.79790	−	4.31803i	0.176251	−	0.272010i
$253$	28.3057	+	28.3057i	1.77957	+	1.77957i
$254$	−3.65038	−	0.978117i	−0.229045	−	0.0613725i
$255$	16.7210	−	4.48038i	1.04711	−	0.280572i
$256$	−5.87942	+	10.1835i	−0.367464	+	0.636466i
$257$	8.20523	+	14.2119i	0.511828	+	0.886512i	0.999906	+	0.0137123i	$0.00436490\pi$
$257$	8.20523	+	14.2119i	0.511828	+	0.886512i	−0.488078	+	0.872800i	$0.662302\pi$
$258$	1.64203	+	1.64203i	0.102229	+	0.102229i
$259$	−0.776099	−	0.860179i	−0.0482245	−	0.0534489i
$260$	14.7558	+	19.0975i	0.915114	+	1.18437i
$261$	1.18272	+	2.04853i	0.0732086	+	0.126801i
$262$	0.0332142	+	0.123957i	0.00205198	+	0.00765808i
$263$	−4.38071	+	7.58761i	−0.270126	+	0.467872i	−0.968894	−	0.247476i	$-0.920399\pi$
$263$	−4.38071	+	7.58761i	−0.270126	+	0.467872i	0.698768	+	0.715349i	$0.253732\pi$
$264$	2.55325	+	4.42237i	0.157142	+	0.272178i
$265$	4.39033	−	4.39033i	0.269696	−	0.269696i
$266$	−0.410913	+	0.209899i	−0.0251947	+	0.0128697i
$267$	−1.01245	+	1.01245i	−0.0619607	+	0.0619607i
$268$	27.8209	+	7.45458i	1.69943	+	0.455361i
$269$	15.2571	+	8.80870i	0.930242	+	0.537076i	0.886888	−	0.461984i	$-0.152862\pi$
$269$	15.2571	+	8.80870i	0.930242	+	0.537076i	0.0433542	+	0.999060i	$0.486196\pi$
$270$	0.700809	+	0.404612i	0.0426499	+	0.0246239i
$271$	0.549860	−	2.05211i	0.0334016	−	0.124657i	−0.947212	−	0.320608i	$-0.896113\pi$
$271$	0.549860	−	2.05211i	0.0334016	−	0.124657i	0.980614	+	0.195951i	$0.0627795\pi$
$272$	18.4651			1.11961
$273$	−3.22355	−	8.97824i	−0.195098	−	0.543388i
$274$	−0.491723			−0.0297060
$275$	9.75692	−	36.4133i	0.588364	−	2.19580i
$276$	12.2445	+	7.06936i	0.737032	+	0.425526i
$277$	22.0097	+	12.7073i	1.32243	+	0.763508i	0.984116	−	0.177524i	$-0.0568087\pi$
$277$	22.0097	+	12.7073i	1.32243	+	0.763508i	0.338318	+	0.941032i	$0.390142\pi$
$278$	−3.29873	−	0.883891i	−0.197845	−	0.0530123i
$279$	0.907724	−	0.907724i	0.0543440	−	0.0543440i
$280$	8.43455	+	0.433408i	0.504061	+	0.0259011i
$281$	−5.82645	+	5.82645i	−0.347577	+	0.347577i	−0.859206	−	0.511629i	$-0.829042\pi$
$281$	−5.82645	+	5.82645i	−0.347577	+	0.347577i	0.511629	+	0.859206i	$0.329042\pi$
$282$	−0.468595	−	0.811630i	−0.0279044	−	0.0483319i
$283$	−12.1698	+	21.0787i	−0.723418	+	1.25300i	0.236204	+	0.971703i	$0.424097\pi$
$283$	−12.1698	+	21.0787i	−0.723418	+	1.25300i	−0.959622	+	0.281293i	$0.909237\pi$
$284$	−1.15266	−	4.30179i	−0.0683978	−	0.255264i
$285$	1.27657	+	2.21108i	0.0756172	+	0.130973i
$286$	4.62953	+	0.593736i	0.273750	+	0.0351084i
$287$	11.2345	−	2.39995i	0.663152	−	0.141665i
$288$	1.92196	+	1.92196i	0.113253	+	0.113253i
$289$	−4.14766	−	7.18396i	−0.243980	−	0.422586i
$290$	−0.957087	+	1.65772i	−0.0562021	+	0.0973449i
$291$	4.50687	−	1.20761i	0.264197	−	0.0707914i
$292$	−5.11522	−	1.37062i	−0.299346	−	0.0802095i
$293$	17.1966	+	17.1966i	1.00463	+	1.00463i	0.999989	+	0.00464546i	$0.00147870\pi$
$293$	17.1966	+	17.1966i	1.00463	+	1.00463i	0.00464546	+	0.999989i	$0.498521\pi$
$294$	−1.53766	−	0.586655i	−0.0896780	−	0.0342144i
$295$	−25.1450			−1.46400
$296$	0.351709	−	0.203059i	0.0204427	−	0.0118026i
$297$	−5.31839	+	1.42506i	−0.308605	+	0.0826903i
$298$	−1.37403	−	0.793294i	−0.0795952	−	0.0459543i
$299$	24.1844	−	10.1124i	1.39862	−	0.584817i
$300$		−	13.3149i		−	0.768735i
$301$	−14.2102	+	21.9308i	−0.819064	+	1.26407i
$302$	1.01517			0.0584166
$303$	−4.12831	+	2.38348i	−0.237165	+	0.136927i
$304$	0.704859	+	2.63057i	0.0404264	+	0.150874i
$305$	−33.7118	+	9.03306i	−1.93033	+	0.517232i
$306$	0.306046	−	1.14218i	0.0174955	−	0.0652941i
$307$	−4.25969	−	4.25969i	−0.243113	−	0.243113i	0.575023	−	0.818137i	$-0.304993\pi$
$307$	−4.25969	−	4.25969i	−0.243113	−	0.243113i	−0.818137	+	0.575023i	$0.804993\pi$
$308$	−21.0338	+	18.9778i	−1.19851	+	1.08136i
$309$			7.36023i			0.418709i
$310$	1.00342	+	0.268865i	0.0569903	+	0.0152705i
$311$	−6.87006	+	11.8993i	−0.389565	+	0.674747i	−0.992391	−	0.123126i	$-0.960708\pi$
$311$	−6.87006	+	11.8993i	−0.389565	+	0.674747i	0.602826	+	0.797873i	$0.294041\pi$
$312$	3.31386	−	0.447563i	0.187610	−	0.0253383i
$313$	4.40368	−	2.54247i	0.248911	−	0.143709i	−0.370355	−	0.928890i	$-0.620764\pi$
$313$	4.40368	−	2.54247i	0.248911	−	0.143709i	0.619265	+	0.785182i	$0.287431\pi$
$314$	−2.10398	+	2.10398i	−0.118734	+	0.118734i
$315$	−2.80520	+	8.66358i	−0.158055	+	0.488137i
$316$		−	14.2405i		−	0.801090i
$317$	5.95299	−	22.2169i	0.334353	−	1.24782i	−0.570215	−	0.821496i	$-0.693140\pi$
$317$	5.95299	−	22.2169i	0.334353	−	1.24782i	0.904568	−	0.426329i	$-0.140193\pi$
$318$	−0.109769	−	0.409665i	−0.00615556	−	0.0229729i
$319$	−3.37090	−	12.5804i	−0.188734	−	0.704365i
$320$	5.97189	−	22.2874i	0.333839	−	1.24590i
$321$			17.4065i			0.971539i
$322$	1.39312	−	4.30251i	0.0776356	−	0.239770i
$323$	2.63803	−	2.63803i	0.146784	−	0.146784i
$324$	−1.68418	+	0.972362i	−0.0935655	+	0.0540201i
$325$	−19.6349	−	14.9623i	−1.08915	−	0.829958i
$326$	−2.20262	+	3.81505i	−0.121992	+	0.211296i
$327$	8.96872	+	2.40316i	0.495972	+	0.132895i
$328$			4.02700i			0.222354i
$329$	7.83033	−	7.06493i	0.431700	−	0.389502i
$330$	−3.15058	−	3.15058i	−0.173434	−	0.173434i
$331$	−0.491466	+	1.83418i	−0.0270134	+	0.100815i	−0.978116	−	0.208059i	$-0.933285\pi$
$331$	−0.491466	+	1.83418i	−0.0270134	+	0.100815i	0.951103	+	0.308874i	$0.0999522\pi$
$332$	−2.81160	+	0.753367i	−0.154307	+	0.0413464i
$333$	0.113334	+	0.422970i	0.00621069	+	0.0231786i
$334$	3.41937	−	1.97418i	0.187100	−	0.108022i
$335$	−50.9762			−2.78513
$336$	−5.28209	+	8.15190i	−0.288162	+	0.444723i
$337$		−	5.92340i		−	0.322668i	−0.986900	−	0.161334i	$-0.948420\pi$
$337$		−	5.92340i		−	0.322668i	0.986900	−	0.161334i	$-0.0515797\pi$
$338$	1.51047	−	2.65711i	0.0821585	−	0.144528i
$339$	5.98428	+	3.45502i	0.325021	+	0.187651i
$340$	−32.5177	+	8.71309i	−1.76352	+	0.472534i
$341$	−6.12120	+	3.53408i	−0.331481	+	0.191381i
$342$	0.174400			0.00943045
$343$	2.84121	−	18.3010i	0.153411	−	0.988162i
$344$	−6.47737	−	6.47737i	−0.349236	−	0.349236i
$345$	−24.1710	−	6.47660i	−1.30132	−	0.348688i
$346$	3.24484	−	0.869453i	0.174444	−	0.0467421i
$347$	5.46114	−	9.45897i	0.293169	−	0.507784i	−0.681388	−	0.731922i	$-0.738623\pi$
$347$	5.46114	−	9.45897i	0.293169	−	0.507784i	0.974557	+	0.224138i	$0.0719567\pi$
$348$	−2.30007	−	3.98383i	−0.123297	−	0.213556i
$349$	−19.9871	−	19.9871i	−1.06988	−	1.06988i	−0.997367	−	0.0725169i	$-0.976897\pi$
$349$	−19.9871	−	19.9871i	−1.06988	−	1.06988i	−0.0725169	−	0.997367i	$-0.523103\pi$
$350$	−4.16494	+	0.889728i	−0.222626	+	0.0475580i
$351$	−0.458655	+	3.57626i	−0.0244812	+	0.190887i
$352$	−7.48285	−	12.9607i	−0.398837	−	0.690806i
$353$	−6.58593	−	24.5790i	−0.350533	−	1.30821i	−0.886013	−	0.463660i	$-0.846536\pi$
$353$	−6.58593	−	24.5790i	−0.350533	−	1.30821i	0.535480	−	0.844548i	$-0.320131\pi$
$354$	−0.858804	+	1.48749i	−0.0456449	+	0.0790593i
$355$	3.94108	+	6.82616i	0.209171	+	0.362295i
$356$	1.96893	−	1.96893i	0.104353	−	0.104353i
$357$	13.2891	+	0.682860i	0.703335	+	0.0361408i
$358$	−0.651818	+	0.651818i	−0.0344496	+	0.0344496i
$359$	−0.192733	−	0.0516427i	−0.0101721	−	0.00272559i	0.253729	−	0.967275i	$-0.418343\pi$
$359$	−0.192733	−	0.0516427i	−0.0101721	−	0.00272559i	−0.263901	+	0.964550i	$0.585009\pi$
$360$	−2.76450	−	1.59608i	−0.145702	−	0.0841210i
$361$	−15.9780	−	9.22488i	−0.840945	−	0.485520i
$362$	−0.443447	+	1.65497i	−0.0233071	+	0.0869831i
$363$	19.3161			1.01383
$364$	6.26891	+	17.4602i	0.328580	+	0.915163i
$365$	9.37263			0.490586
$366$	−0.617032	+	2.30279i	−0.0322528	+	0.120369i
$367$	24.6362	+	14.2237i	1.28600	+	0.742472i	0.977938	−	0.208895i	$-0.0669866\pi$
$367$	24.6362	+	14.2237i	1.28600	+	0.742472i	0.308061	+	0.951367i	$0.400320\pi$
$368$	−23.1161	−	13.3461i	−1.20501	−	0.695713i
$369$	−4.19410	−	1.12381i	−0.218336	−	0.0585030i
$370$	−0.250565	+	0.250565i	−0.0130262	+	0.0130262i
$371$	4.25029	−	2.17109i	0.220664	−	0.112718i
$372$	−1.76527	+	1.76527i	−0.0915251	+	0.0915251i
$373$	−8.51876	−	14.7549i	−0.441085	−	0.763981i	0.556686	−	0.830723i	$-0.312073\pi$
$373$	−8.51876	−	14.7549i	−0.441085	−	0.763981i	−0.997770	+	0.0667423i	$0.978739\pi$
$374$	−3.25535	+	5.63843i	−0.168330	+	0.291556i
$375$	1.64507	+	6.13948i	0.0849510	+	0.317042i
$376$	1.84848	+	3.20166i	0.0953279	+	0.165113i
$377$	−8.45944	−	1.08492i	−0.435683	−	0.0558764i
$378$	0.416699	+	0.461842i	0.0214327	+	0.0237546i
$379$	2.26608	+	2.26608i	0.116401	+	0.116401i	0.762908	−	0.646507i	$-0.223771\pi$
$379$	2.26608	+	2.26608i	0.116401	+	0.116401i	−0.646507	+	0.762908i	$0.723771\pi$
$380$	−2.48257	−	4.29993i	−0.127353	−	0.220582i
$381$	−8.03700	+	13.9205i	−0.411748	+	0.713168i
$382$	5.11038	−	1.36932i	0.261470	−	0.0700606i
$383$	24.5853	+	6.58762i	1.25625	+	0.336612i	0.824748	−	0.565500i	$-0.191317\pi$
$383$	24.5853	+	6.58762i	1.25625	+	0.336612i	0.431503	+	0.902111i	$0.357983\pi$
$384$	−4.95841	−	4.95841i	−0.253033	−	0.253033i
$385$	27.2653	−	42.0787i	1.38957	−	2.14453i
$386$	3.47044			0.176641
$387$	8.55376	−	4.93851i	0.434812	−	0.251039i
$388$	−8.76461	+	2.34847i	−0.444956	+	0.119226i
$389$	−14.3285	−	8.27255i	−0.726482	−	0.419435i	0.0906515	−	0.995883i	$-0.471105\pi$
$389$	−14.3285	−	8.27255i	−0.726482	−	0.419435i	−0.817134	+	0.576448i	$0.804438\pi$
$390$	−2.69185	+	1.12557i	−0.136307	+	0.0569954i
$391$			36.5656i			1.84920i
$392$	6.06563	+	2.31419i	0.306361	+	0.116884i
$393$	0.545829			0.0275334
$394$	−0.0385987	+	0.0222850i	−0.00194457	+	0.00112270i
$395$	6.52321	+	24.3449i	0.328218	+	1.22493i
$396$	10.3428	−	2.77135i	0.519746	−	0.139265i
$397$	−4.14660	+	15.4753i	−0.208112	+	0.776685i	0.780366	+	0.625323i	$0.215033\pi$
$397$	−4.14660	+	15.4753i	−0.208112	+	0.776685i	−0.988478	+	0.151362i	$0.951634\pi$
$398$	−2.80218	−	2.80218i	−0.140461	−	0.140461i
$399$	0.409998	+	1.91926i	0.0205256	+	0.0960832i
$400$			25.1368i			1.25684i
$401$	2.77070	+	0.742406i	0.138362	+	0.0370740i	0.327335	−	0.944908i	$-0.393849\pi$
$401$	2.77070	+	0.742406i	0.138362	+	0.0370740i	−0.188973	+	0.981982i	$0.560516\pi$
$402$	−1.74105	+	3.01558i	−0.0868354	+	0.150403i
$403$	0.619492	+	4.58686i	0.0308591	+	0.228488i
$404$	8.02842	−	4.63521i	0.399429	−	0.230610i
$405$	2.43379	−	2.43379i	0.120936	−	0.120936i
$406$	−1.09246	+	0.985677i	−0.0542180	+	0.0489183i
$407$		−	2.41103i		−	0.119510i
$408$	−1.20727	+	4.50558i	−0.0597687	+	0.223060i
$409$	−1.29831	−	4.84538i	−0.0641975	−	0.239588i	0.926370	−	0.376615i	$-0.122912\pi$
$409$	−1.29831	−	4.84538i	−0.0641975	−	0.239588i	−0.990567	+	0.137027i	$0.956245\pi$
$410$	−0.909411	−	3.39397i	−0.0449126	−	0.167616i
$411$	−0.541310	+	2.02019i	−0.0267008	+	0.0996489i
$412$		−	14.3136i		−	0.705181i
$413$	−18.3887	−	5.95413i	−0.904851	−	0.292984i
$414$	−1.20867	+	1.20867i	−0.0594030	+	0.0594030i
$415$	4.46150	−	2.57585i	0.219007	−	0.126443i
$416$	−9.71195	+	1.31168i	−0.476168	+	0.0643103i
$417$	−7.26277	+	12.5795i	−0.355659	+	0.616020i
$418$	−0.927526	−	0.248530i	−0.0453668	−	0.0121560i
$419$		−	11.1131i		−	0.542911i	−0.962451	−	0.271456i	$-0.912495\pi$
$419$		−	11.1131i		−	0.542911i	0.962451	−	0.271456i	$-0.0875051\pi$
$420$	5.45534	−	16.8483i	0.266193	−	0.822111i
$421$	−8.74410	−	8.74410i	−0.426162	−	0.426162i	0.461157	−	0.887319i	$-0.347434\pi$
$421$	−8.74410	−	8.74410i	−0.426162	−	0.426162i	−0.887319	+	0.461157i	$0.847434\pi$
$422$	1.27095	−	4.74324i	0.0618688	−	0.230898i
$423$	−3.85035	+	1.03170i	−0.187211	+	0.0501629i
$424$	0.433010	+	1.61602i	0.0210288	+	0.0784806i
$425$	29.8216	−	17.2175i	1.44656	−	0.835171i
$426$	0.538416			0.0260864
$427$	−26.7927	−	1.37674i	−1.29659	−	0.0666252i
$428$		−	33.8509i		−	1.63625i
$429$	7.53569	−	18.3663i	0.363827	−	0.886736i
$430$	6.92191	+	3.99636i	0.333804	+	0.192722i
$431$	24.2141	−	6.48814i	1.16635	−	0.312523i	0.376851	−	0.926274i	$-0.377007\pi$
$431$	24.2141	−	6.48814i	1.16635	−	0.312523i	0.789499	+	0.613751i	$0.210340\pi$
$432$	3.17952	−	1.83570i	0.152975	−	0.0883201i
$433$	33.9532			1.63169			0.815843	−	0.578273i	$-0.196273\pi$
$433$	33.9532			1.63169			0.815843	+	0.578273i	$0.196273\pi$
$434$	0.670143	+	0.434225i	0.0321679	+	0.0208435i
$435$	5.75699	+	5.75699i	0.276027	+	0.276027i
$436$	−17.4417	−	4.67349i	−0.835305	−	0.223819i
$437$	−5.20920	+	1.39580i	−0.249190	+	0.0667702i
$438$	0.320113	−	0.554453i	0.0152956	−	0.0264928i
$439$	−4.35954	−	7.55094i	−0.208069	−	0.360387i	0.743037	−	0.669250i	$-0.233385\pi$
$439$	−4.35954	−	7.55094i	−0.208069	−	0.360387i	−0.951106	+	0.308864i	$0.900051\pi$
$440$	12.4282	+	12.4282i	0.592490	+	0.592490i
$441$	−4.10293	+	5.67150i	−0.195378	+	0.270072i
$442$	2.60673	+	3.37373i	0.123990	+	0.160472i
$443$	14.5957	+	25.2805i	0.693462	+	1.20111i	0.970696	+	0.240310i	$0.0772490\pi$
$443$	14.5957	+	25.2805i	0.693462	+	1.20111i	−0.277234	+	0.960802i	$0.589418\pi$
$444$	−0.220404	−	0.822560i	−0.0104599	−	0.0390370i
$445$	−2.46408	+	4.26791i	−0.116809	+	0.202318i
$446$	−3.30841	−	5.73033i	−0.156658	−	0.271339i
$447$	−4.77176	+	4.77176i	−0.225697	+	0.225697i
$448$	9.64478	−	14.8849i	0.455673	−	0.703245i
$449$	6.03376	−	6.03376i	0.284751	−	0.284751i	−0.550249	−	0.835000i	$-0.685467\pi$
$449$	6.03376	−	6.03376i	0.284751	−	0.284751i	0.835000	+	0.550249i	$0.185467\pi$
$450$	1.55487	+	0.416626i	0.0732973	+	0.0196399i
$451$	20.7044	+	11.9537i	0.974931	+	0.562877i
$452$	−11.6378	−	6.71907i	−0.547394	−	0.316038i
$453$	1.11755	−	4.17074i	0.0525069	−	0.195958i
$454$	−4.46100			−0.209365
$455$	−18.7151	−	26.9776i	−0.877379	−	1.26473i
$456$	−0.687958			−0.0322166
$457$	−10.6433	+	39.7212i	−0.497870	+	1.85808i	0.0154496	+	0.999881i	$0.495082\pi$
$457$	−10.6433	+	39.7212i	−0.497870	+	1.85808i	−0.513320	+	0.858197i	$0.671585\pi$
$458$	3.81721	+	2.20387i	0.178367	+	0.102980i
$459$	−4.35563	−	2.51472i	−0.203303	−	0.117377i
$460$	47.0059	+	12.5952i	2.19166	+	0.587254i
$461$	16.2733	−	16.2733i	0.757922	−	0.757922i	−0.218022	−	0.975944i	$-0.569960\pi$
$461$	16.2733	−	16.2733i	0.757922	−	0.757922i	0.975944	+	0.218022i	$0.0699605\pi$
$462$	−1.55802	−	3.05008i	−0.0724854	−	0.141903i
$463$	−11.2765	+	11.2765i	−0.524064	+	0.524064i	−0.918796	−	0.394732i	$-0.870837\pi$
$463$	−11.2765	+	11.2765i	−0.524064	+	0.524064i	0.394732	+	0.918796i	$0.370837\pi$
$464$	4.34224	+	7.52098i	0.201583	+	0.349153i
$465$	2.20921	−	3.82647i	0.102450	−	0.177448i
$466$	−0.482460	−	1.80057i	−0.0223495	−	0.0834096i
$467$	−11.8946	−	20.6020i	−0.550416	−	0.953348i	−0.998244	−	0.0592289i	$-0.981136\pi$
$467$	−11.8946	−	20.6020i	−0.550416	−	0.953348i	0.447828	−	0.894120i	$-0.352198\pi$
$468$	0.891957	−	6.95484i	0.0412307	−	0.321487i
$469$	−37.2794	−	12.0708i	−1.72140	−	0.557376i
$470$	−2.28092	−	2.28092i	−0.105211	−	0.105211i
$471$	6.32785	+	10.9601i	0.291572	+	0.505017i
$472$	3.38774	−	5.86774i	0.155933	−	0.270085i
$473$	−52.5299	+	14.0754i	−2.41533	+	0.647185i
$474$	1.66296	+	0.445588i	0.0763822	+	0.0204665i
$475$	3.59120	+	3.59120i	0.164775	+	0.164775i
$476$	−25.8437	−	1.32797i	−1.18454	−	0.0608676i
$477$	−1.80391			−0.0825953
$478$	−5.29665	+	3.05802i	−0.242263	+	0.139871i
$479$	−25.0702	+	6.71754i	−1.14549	+	0.306932i	−0.781155	−	0.624337i	$-0.785369\pi$
$479$	−25.0702	+	6.71754i	−1.14549	+	0.306932i	−0.364331	+	0.931269i	$0.618702\pi$
$480$	8.10194	+	4.67766i	0.369801	+	0.213505i
$481$	−1.46067	−	0.599311i	−0.0666008	−	0.0273262i
$482$		−	1.36591i		−	0.0622157i
$483$	−16.1429	−	10.4599i	−0.734525	−	0.475942i
$484$	−37.5645			−1.70748
$485$	13.9078	−	8.02970i	0.631523	−	0.364610i
$486$	−0.0608509	−	0.227099i	−0.00276025	−	0.0103014i
$487$	−27.1662	+	7.27915i	−1.23102	+	0.329850i	−0.814975	−	0.579496i	$-0.803250\pi$
$487$	−27.1662	+	7.27915i	−1.23102	+	0.329850i	−0.416041	+	0.909346i	$0.636583\pi$
$488$	2.43402	−	9.08388i	0.110183	−	0.411208i
$489$	13.2490	+	13.2490i	0.599142	+	0.599142i
$490$	−5.63473	−	0.580613i	−0.254551	−	0.0262294i
$491$			24.1977i			1.09203i	0.837777	+	0.546013i	$0.183855\pi$
$491$			24.1977i			1.09203i	−0.837777	+	0.546013i	$0.816145\pi$
$492$	8.15636	+	2.18549i	0.367717	+	0.0985295i
$493$	5.94843	−	10.3030i	0.267904	−	0.464023i
$494$	−0.381122	+	0.500144i	−0.0171475	+	0.0225025i
$495$	−16.4122	+	9.47556i	−0.737671	+	0.425895i
$496$	3.33262	−	3.33262i	0.149639	−	0.149639i
$497$	1.26577	+	5.92525i	0.0567775	+	0.265784i
$498$		−	0.351903i		−	0.0157692i
$499$	−2.66494	+	9.94571i	−0.119299	+	0.445231i	−0.999573	−	0.0292360i	$-0.990693\pi$
$499$	−2.66494	+	9.94571i	−0.119299	+	0.445231i	0.880273	+	0.474467i	$0.157359\pi$
$500$	−3.19921	−	11.9396i	−0.143073	−	0.533955i
$501$	−4.34652	−	16.2214i	−0.194188	−	0.724720i
$502$	−0.459015	+	1.71307i	−0.0204869	+	0.0764580i
$503$			1.55542i			0.0693526i	0.999399	+	0.0346763i	$0.0110400\pi$
$503$			1.55542i			0.0693526i	−0.999399	+	0.0346763i	$0.988960\pi$
$504$	−1.64376	−	1.82184i	−0.0732189	−	0.0811512i
$505$	−11.6018	+	11.6018i	−0.516272	+	0.516272i
$506$	8.15062	−	4.70576i	0.362339	−	0.209197i
$507$	−9.25370	−	9.13067i	−0.410971	−	0.405507i
$508$	15.6297	−	27.0715i	0.693458	−	1.20110i
$509$	−30.3230	−	8.12503i	−1.34405	−	0.360136i	−0.486112	−	0.873897i	$-0.661585\pi$
$509$	−30.3230	−	8.12503i	−1.34405	−	0.360136i	−0.857933	+	0.513761i	$0.828252\pi$
$510$		−	4.06995i		−	0.180220i
$511$	6.85428	+	2.21936i	0.303216	+	0.0981789i
$512$	11.8717	+	11.8717i	0.524660	+	0.524660i
$513$	0.191987	−	0.716504i	0.00847642	−	0.0316344i
$514$	3.72679	−	0.998591i	0.164382	−	0.0440460i
$515$	6.55671	+	24.4700i	0.288923	+	1.07828i
$516$	−16.6347	+	9.60404i	−0.732301	+	0.422794i
$517$	21.9479			0.965269
$518$	−0.242572	+	0.123908i	−0.0106580	+	0.00544422i
$519$		−	14.2883i		−	0.627185i
$520$	10.6186	−	4.44006i	0.465657	−	0.194709i
$521$	10.6523	+	6.15009i	0.466684	+	0.269440i	0.714851	−	0.699277i	$-0.246495\pi$
$521$	10.6523	+	6.15009i	0.466684	+	0.269440i	−0.248167	+	0.968717i	$0.579828\pi$
$522$	0.537189	−	0.143939i	0.0235121	−	0.00630005i
$523$	−8.68384	+	5.01362i	−0.379718	+	0.219230i	−0.677695	−	0.735343i	$-0.737021\pi$
$523$	−8.68384	+	5.01362i	−0.379718	+	0.219230i	0.297978	+	0.954573i	$0.403688\pi$
$524$	−1.06149			−0.0463712
$525$	−0.929589	+	18.0907i	−0.0405706	+	0.789544i
$526$	1.45657	+	1.45657i	0.0635093	+	0.0635093i
$527$	−6.23638	−	1.67103i	−0.271661	−	0.0727914i
$528$	−19.5259	+	5.23196i	−0.849757	+	0.227692i
$529$	14.9287	−	25.8572i	0.649072	−	1.12423i
$530$	−0.729883	−	1.26419i	−0.0317041	−	0.0549131i
$531$	5.16581	+	5.16581i	0.224177	+	0.224177i
$532$	−0.797333	−	3.73243i	−0.0345688	−	0.161821i
$533$	12.3884	−	9.57196i	0.536600	−	0.414608i
$534$	0.168317	+	0.291533i	0.00728378	+	0.0126159i
$535$	15.5063	+	57.8701i	0.670394	+	2.50194i
$536$	6.86794	−	11.8956i	0.296650	−	0.513813i
$537$	1.96038	+	3.39548i	0.0845967	+	0.146526i
$538$	2.92885	−	2.92885i	0.126272	−	0.126272i
$539$	29.9032	−	24.3164i	1.28802	−	1.04738i
$540$	−4.73305	+	4.73305i	−0.203678	+	0.203678i
$541$	17.8852	+	4.79234i	0.768947	+	0.206039i	0.621906	−	0.783092i	$-0.286359\pi$
$541$	17.8852	+	4.79234i	0.768947	+	0.206039i	0.147041	+	0.989130i	$0.453025\pi$
$542$	−0.432571	−	0.249745i	−0.0185805	−	0.0107275i
$543$	6.31111	+	3.64372i	0.270835	+	0.156367i
$544$	3.53815	−	13.2046i	0.151697	−	0.566141i
$545$	31.9584			1.36895
$546$	−2.23510	+	0.185729i	−0.0956535	+	0.00794847i
$547$	19.9353			0.852374			0.426187	−	0.904635i	$-0.359857\pi$
$547$	19.9353			0.852374			0.426187	+	0.904635i	$0.359857\pi$
$548$	1.05270	−	3.92872i	0.0449690	−	0.167827i
$549$	8.78155	+	5.07003i	0.374787	+	0.216384i
$550$	−7.67569	−	4.43156i	−0.327293	−	0.188963i
$551$	1.69485	+	0.454134i	0.0722030	+	0.0193467i
$552$	4.76787	−	4.76787i	0.202934	−	0.202934i
$553$	−0.994211	+	19.3483i	−0.0422781	+	0.822774i
$554$	4.22512	−	4.22512i	0.179508	−	0.179508i
$555$	0.753588	+	1.30525i	0.0319880	+	0.0554049i
$556$	14.1241	−	24.4636i	0.598994	−	1.03749i
$557$	−4.82756	−	18.0167i	−0.204550	−	0.763392i	−0.989586	−	0.143942i	$-0.954022\pi$
$557$	−4.82756	−	18.0167i	−0.204550	−	0.763392i	0.785036	−	0.619450i	$-0.212644\pi$
$558$	−0.150907	−	0.261379i	−0.00638841	−	0.0110650i
$559$	−4.53015	+	35.3228i	−0.191605	+	1.49400i
$560$	−10.2990	+	31.8074i	−0.435212	+	1.34411i
$561$	19.5813	+	19.5813i	0.826724	+	0.826724i
$562$	0.968634	+	1.67772i	0.0408593	+	0.0707705i
$563$	−16.1304	+	27.9386i	−0.679814	+	1.17747i	0.295223	+	0.955428i	$0.404606\pi$
$563$	−16.1304	+	27.9386i	−0.679814	+	1.17747i	−0.975037	+	0.222044i	$0.928727\pi$
$564$	7.48787	−	2.00637i	0.315296	−	0.0844834i
$565$	22.9733	+	6.15567i	0.966493	+	0.258971i
$566$	4.04639	+	4.04639i	0.170083	+	0.170083i
$567$	2.35616	−	1.20355i	0.0989492	−	0.0505444i
$568$	−2.12390			−0.0891170
$569$	−30.3063	+	17.4973i	−1.27051	+	0.733527i	−0.975083	−	0.221840i	$-0.928794\pi$
$569$	−30.3063	+	17.4973i	−1.27051	+	0.733527i	−0.295422	+	0.955367i	$0.595460\pi$
$570$	0.579812	−	0.155360i	0.0242857	−	0.00650733i
$571$	21.4363	+	12.3763i	0.897081	+	0.517930i	0.876252	−	0.481853i	$-0.160036\pi$
$571$	21.4363	+	12.3763i	0.897081	+	0.517930i	0.0208290	+	0.999783i	$0.493369\pi$
$572$	−14.6548	+	35.7175i	−0.612750	+	1.49342i
$573$		−	22.5029i		−	0.940072i
$574$	0.138604	−	2.69738i	0.00578524	−	0.112586i
$575$	−49.7774			−2.07586
$576$	−5.80562	+	3.35187i	−0.241901	+	0.139661i
$577$	0.793637	+	2.96189i	0.0330395	+	0.123305i	0.980476	−	0.196639i	$-0.0630026\pi$
$577$	0.793637	+	2.96189i	0.0330395	+	0.123305i	−0.947436	+	0.319944i	$0.896336\pi$
$578$	−1.88386	+	0.504777i	−0.0783580	+	0.0209960i
$579$	3.82041	−	14.2580i	0.158771	−	0.592541i
$580$	−11.1958	−	11.1958i	−0.464879	−	0.464879i
$581$	3.87268	−	0.827293i	0.160666	−	0.0343219i
$582$		−	1.09699i		−	0.0454716i
$583$	9.59390	+	2.57068i	0.397339	+	0.106467i
$584$	−1.26276	+	2.18716i	−0.0522533	+	0.0905054i
$585$	1.66098	+	12.2983i	0.0686732	+	0.508472i
$586$	4.95175	−	2.85889i	0.204555	−	0.118100i
$587$	30.3815	−	30.3815i	1.25398	−	1.25398i	0.300058	−	0.953921i	$-0.402994\pi$
$587$	30.3815	−	30.3815i	1.25398	−	1.25398i	0.953921	−	0.300058i	$-0.0970062\pi$
$588$	7.97907	−	11.0295i	0.329051	−	0.454849i
$589$		−	0.952234i		−	0.0392361i
$590$	−1.53009	+	5.71039i	−0.0629930	+	0.235093i
$591$	0.0490645	+	0.183111i	0.00201824	+	0.00753219i
$592$	0.416096	+	1.55289i	0.0171014	+	0.0638234i
$593$	−6.11313	+	22.8145i	−0.251036	+	0.936879i	0.719217	+	0.694786i	$0.244501\pi$
$593$	−6.11313	+	22.8145i	−0.251036	+	0.936879i	−0.970253	+	0.242094i	$0.922166\pi$
$594$			1.29452i			0.0531146i
$595$	44.7896	−	9.56809i	1.83619	−	0.392254i
$596$	9.27976	−	9.27976i	0.380114	−	0.380114i
$597$	−14.5972	+	8.42773i	−0.597426	+	0.344924i
$598$	−0.824879	−	6.10759i	−0.0337318	−	0.249758i
$599$	12.4988	−	21.6486i	0.510688	−	0.884537i	−0.489235	−	0.872152i	$-0.662724\pi$
$599$	12.4988	−	21.6486i	0.510688	−	0.884537i	0.999923	−	0.0123856i	$-0.00394257\pi$
$600$	−6.13353	−	1.64347i	−0.250400	−	0.0670946i
$601$		−	3.89170i		−	0.158746i	−0.996845	−	0.0793729i	$-0.974708\pi$
$601$		−	3.89170i		−	0.158746i	0.996845	−	0.0793729i	$-0.0252918\pi$
$602$	4.11574	+	4.56163i	0.167745	+	0.185918i
$603$	10.4726	+	10.4726i	0.426477	+	0.426477i
$604$	−2.17332	+	8.11094i	−0.0884311	+	0.330029i
$605$	64.2187	−	17.2074i	2.61086	−	0.699579i
$606$	0.290074	+	1.08257i	0.0117834	+	0.0439764i
$607$	−18.1309	+	10.4679i	−0.735912	+	0.424879i	−0.820581	−	0.571530i	$-0.806350\pi$
$607$	−18.1309	+	10.4679i	−0.735912	+	0.424879i	0.0846694	+	0.996409i	$0.473017\pi$
$608$	2.01621			0.0817680
$609$	2.84693	+	5.57335i	0.115363	+	0.225844i
$610$			8.20558i			0.332234i
$611$	5.45561	−	13.2967i	0.220710	−	0.537926i
$612$	8.47049	+	4.89044i	0.342399	+	0.197684i
$613$	−19.7999	+	5.30537i	−0.799711	+	0.214282i	−0.635457	−	0.772136i	$-0.719188\pi$
$613$	−19.7999	+	5.30537i	−0.799711	+	0.214282i	−0.164254	+	0.986418i	$0.552522\pi$
$614$	−1.22658	+	0.708164i	−0.0495006	+	0.0285792i
$615$	−14.9449			−0.602637
$616$	6.14594	+	12.0317i	0.247627	+	0.484772i
$617$	26.0611	+	26.0611i	1.04918	+	1.04918i	0.998726	+	0.0504549i	$0.0160671\pi$
$617$	26.0611	+	26.0611i	1.04918	+	1.04918i	0.0504549	+	0.998726i	$0.483933\pi$
$618$	1.67150	+	0.447876i	0.0672375	+	0.0180162i
$619$	−34.4886	+	9.24120i	−1.38621	+	0.371435i	−0.873375	−	0.487049i	$-0.838073\pi$
$619$	−34.4886	+	9.24120i	−1.38621	+	0.371435i	−0.512840	+	0.858484i	$0.671407\pi$
$620$	−4.29630	+	7.44142i	−0.172544	+	0.298855i
$621$	3.63515	+	6.29627i	0.145874	+	0.252660i
$622$	2.28426	+	2.28426i	0.0915906	+	0.0915906i
$623$	−2.81261	+	2.53769i	−0.112685	+	0.101670i
$624$	−1.68390	+	13.1299i	−0.0674101	+	0.525615i
$625$	−6.17822	−	10.7010i	−0.247129	−	0.428040i
$626$	−0.309423	−	1.15478i	−0.0123670	−	0.0461543i
$627$	−2.04212	+	3.53706i	−0.0815545	+	0.141257i
$628$	−12.3059	−	21.3145i	−0.491059	−	0.850540i
$629$	1.55729	−	1.55729i	0.0620934	−	0.0620934i
$630$	1.79679	+	1.16424i	0.0715857	+	0.0463846i
$631$	13.1037	−	13.1037i	0.521650	−	0.521650i	−0.396420	−	0.918069i	$-0.629747\pi$
$631$	13.1037	−	13.1037i	0.521650	−	0.521650i	0.918069	+	0.396420i	$0.129747\pi$
$632$	−6.55991	−	1.75772i	−0.260939	−	0.0699185i
$633$	−18.0880	−	10.4431i	−0.718935	−	0.415078i
$634$	−4.68318	−	2.70383i	−0.185993	−	0.107383i
$635$	−14.3192	+	53.4399i	−0.568240	+	2.12070i
$636$	3.50810			0.139105
$637$	−7.29847	−	24.1606i	−0.289176	−	0.957276i
$638$	−3.06210			−0.121230
$639$	0.592712	−	2.21203i	0.0234473	−	0.0875066i
$640$	−20.9019	−	12.0677i	−0.826221	−	0.477019i
$641$	34.5840	+	19.9671i	1.36599	+	0.788653i	0.990413	−	0.138140i	$-0.0441124\pi$
$641$	34.5840	+	19.9671i	1.36599	+	0.788653i	0.375574	+	0.926793i	$0.377446\pi$
$642$	3.95300	+	1.05920i	0.156013	+	0.0418034i
$643$	−10.9355	+	10.9355i	−0.431255	+	0.431255i	−0.889055	−	0.457800i	$-0.848638\pi$
$643$	−10.9355	+	10.9355i	−0.431255	+	0.431255i	0.457800	+	0.889055i	$0.348638\pi$
$644$	31.3934	+	20.3416i	1.23707	+	0.801571i
$645$	24.0386	−	24.0386i	0.946519	−	0.946519i
$646$	−0.438567	−	0.759620i	−0.0172552	−	0.0298868i
$647$	17.4932	−	30.2990i	0.687727	−	1.19118i	−0.284844	−	0.958574i	$-0.591942\pi$
$647$	17.4932	−	30.2990i	0.687727	−	1.19118i	0.972571	−	0.232605i	$-0.0747248\pi$
$648$	0.240040	+	0.895841i	0.00942966	+	0.0351920i
$649$	−20.1122	−	34.8354i	−0.789473	−	1.36741i
$650$	−4.59272	+	3.54859i	−0.180141	+	0.139187i
$651$	2.52169	−	2.27520i	0.0988329	−	0.0891723i
$652$	−25.7657	−	25.7657i	−1.00906	−	1.00906i
$653$	1.30877	+	2.26686i	0.0512163	+	0.0887092i	0.890497	−	0.454989i	$-0.150357\pi$
$653$	1.30877	+	2.26686i	0.0512163	+	0.0887092i	−0.839281	+	0.543698i	$0.817024\pi$
$654$	1.09151	−	1.89055i	0.0426814	−	0.0739264i
$655$	1.81467	−	0.486240i	0.0709051	−	0.0189990i
$656$	−15.3982	−	4.12593i	−0.601199	−	0.161091i
$657$	−1.92552	−	1.92552i	−0.0751217	−	0.0751217i
$658$	−1.12795	−	2.20816i	−0.0439722	−	0.0860832i
$659$	−14.8586			−0.578809			−0.289404	−	0.957207i	$-0.593457\pi$
$659$	−14.8586			−0.578809			−0.289404	+	0.957207i	$0.593457\pi$
$660$	31.9171	−	18.4273i	1.24237	−	0.717283i
$661$	−22.7732	+	6.10206i	−0.885775	+	0.237343i	−0.672897	−	0.739736i	$-0.734950\pi$
$661$	−22.7732	+	6.10206i	−0.885775	+	0.237343i	−0.212878	+	0.977079i	$0.568284\pi$
$662$	0.386632	+	0.223222i	0.0150269	+	0.00867578i
$663$	16.7302	−	6.99557i	0.649749	−	0.271685i
$664$			1.38816i			0.0538711i
$665$	3.07282	+	6.01557i	0.119159	+	0.233274i
$666$	0.102952			0.00398932
$667$	−14.8935	+	8.59874i	−0.576677	+	0.332945i
$668$	8.45278	+	31.5462i	0.327048	+	1.22056i
$669$	−27.1846	+	7.28408i	−1.05102	+	0.281619i
$670$	−3.10195	+	11.5766i	−0.119839	+	0.447244i
$671$	−39.4787	−	39.4787i	−1.52406	−	1.52406i
$672$	4.81739	+	5.33929i	0.185835	+	0.205967i
$673$		−	20.6257i		−	0.795064i	−0.917588	−	0.397532i	$-0.869867\pi$
$673$		−	20.6257i		−	0.795064i	0.917588	−	0.397532i	$-0.130133\pi$
$674$	−1.34520	−	0.360444i	−0.0518150	−	0.0138838i
$675$	3.42334	−	5.92939i	0.131764	−	0.228222i
$676$	17.9959	+	17.7566i	0.692149	+	0.682947i
$677$	−0.660551	+	0.381369i	−0.0253870	+	0.0146572i	−0.512640	−	0.858604i	$-0.671332\pi$
$677$	−0.660551	+	0.381369i	−0.0253870	+	0.0146572i	0.487253	+	0.873261i	$0.337999\pi$
$678$	1.14878	−	1.14878i	0.0441186	−	0.0441186i
$679$	12.0723	−	2.57892i	0.463292	−	0.0989699i
$680$			16.0548i			0.615674i
$681$	−4.91087	+	18.3276i	−0.188185	+	0.702315i
$682$	0.430103	+	1.60517i	0.0164695	+	0.0614650i
$683$	0.386717	+	1.44325i	0.0147973	+	0.0552243i	0.972930	−	0.231101i	$-0.0742328\pi$
$683$	0.386717	+	1.44325i	0.0147973	+	0.0552243i	−0.958132	+	0.286325i	$0.907566\pi$
$684$	−0.373361	+	1.39340i	−0.0142758	+	0.0532781i
$685$			7.19859i			0.275044i
$686$	−3.98325	−	1.75887i	−0.152081	−	0.0671539i
$687$	13.2565	−	13.2565i	0.505768	−	0.505768i
$688$	31.4042	−	18.1312i	1.19727	−	0.691247i
$689$	3.94215	−	5.17326i	0.150184	−	0.197085i
$690$	−2.94165	+	5.09509i	−0.111987	+	0.193967i
$691$	8.63799	+	2.31454i	0.328605	+	0.0880493i	0.419350	−	0.907825i	$-0.362258\pi$
$691$	8.63799	+	2.31454i	0.328605	+	0.0880493i	−0.0907450	+	0.995874i	$0.528925\pi$
$692$			27.7867i			1.05629i
$693$	−14.2461	+	3.04329i	−0.541164	+	0.115605i
$694$	−1.81580	−	1.81580i	−0.0689270	−	0.0689270i
$695$	−12.9398	+	48.2919i	−0.490833	+	1.83181i
$696$	−2.11906	+	0.567801i	−0.0803228	+	0.0215224i
$697$	5.65212	+	21.0940i	0.214089	+	0.798992i
$698$	−5.75527	+	3.32281i	−0.217840	+	0.125770i
$699$	−7.92857			−0.299886
$700$	1.80779	−	35.1815i	0.0683282	−	1.32973i
$701$		−	40.7555i		−	1.53931i	−0.638458	−	0.769657i	$-0.720427\pi$
$701$		−	40.7555i		−	1.53931i	0.638458	−	0.769657i	$-0.279573\pi$
$702$	0.784254	+	0.321779i	0.0295998	+	0.0121447i
$703$	0.281301	+	0.162409i	0.0106095	+	0.00612538i
$704$	35.6532	−	9.55324i	1.34373	−	0.360051i
$705$	−11.8819	+	6.86001i	−0.447498	+	0.258363i
$706$	−5.98262			−0.225159
$707$	−11.2317	+	5.73727i	−0.422411	+	0.215772i
$708$	−10.0461	−	10.0461i	−0.377554	−	0.377554i
$709$	46.7704	+	12.5321i	1.75650	+	0.470653i	0.985994	−	0.166780i	$-0.0533370\pi$
$709$	46.7704	+	12.5321i	1.75650	+	0.470653i	0.770506	+	0.637433i	$0.220004\pi$
$710$	1.79003	−	0.479637i	0.0671786	−	0.0180005i
$711$	3.66131	−	6.34158i	0.137310	−	0.237828i
$712$	−0.663963	−	1.15002i	−0.0248831	−	0.0430987i
$713$	6.59943	+	6.59943i	0.247151	+	0.247151i
$714$	0.963732	−	2.97639i	0.0360668	−	0.111389i
$715$	8.69203	−	67.7741i	0.325064	−	2.53461i
$716$	−3.81240	−	6.60327i	−0.142476	−	0.246776i
$717$	6.73281	+	25.1272i	0.251441	+	0.938392i
$718$	−0.0234559	+	0.0406269i	−0.000875368	+	0.00151618i
$719$	4.93516	+	8.54795i	0.184050	+	0.318785i	0.943256	−	0.332066i	$-0.107746\pi$
$719$	4.93516	+	8.54795i	0.184050	+	0.318785i	−0.759206	+	0.650851i	$0.774412\pi$
$720$	8.93541	−	8.93541i	0.333003	−	0.333003i
$721$	−0.999316	+	19.4477i	−0.0372165	+	0.724269i
$722$	−3.06723	+	3.06723i	−0.114151	+	0.114151i
$723$	−5.61173	−	1.50366i	−0.208702	−	0.0559216i
$724$	−12.2734	−	7.08603i	−0.456136	−	0.263350i
$725$	14.0256	+	8.09771i	0.520899	+	0.300741i
$726$	1.17540	−	4.38666i	0.0436233	−	0.162804i
$727$	−7.32249			−0.271576			−0.135788	−	0.990738i	$-0.543357\pi$
$727$	−7.32249			−0.271576			−0.135788	+	0.990738i	$0.543357\pi$
$728$	8.81685	−	0.732650i	0.326774	−	0.0271538i
$729$	−1.00000			−0.0370370
$730$	0.570333	−	2.12851i	0.0211090	−	0.0787797i
$731$	−43.0206	−	24.8380i	−1.59118	−	0.918666i
$732$	−17.0777	−	9.85981i	−0.631209	−	0.364429i
$733$	31.6181	+	8.47205i	1.16784	+	0.312922i	0.790094	−	0.612986i	$-0.210032\pi$
$733$	31.6181	+	8.47205i	1.16784	+	0.312922i	0.377748	+	0.925908i	$0.376699\pi$
$734$	4.72932	−	4.72932i	0.174562	−	0.174562i
$735$	−8.58835	+	22.5106i	−0.316786	+	0.830316i
$736$	−13.9733	+	13.9733i	−0.515061	+	0.515061i
$737$	−40.7733	−	70.6215i	−1.50190	−	2.60138i
$738$	−0.510429	+	0.884090i	−0.0187892	+	0.0325438i
$739$	4.76997	+	17.8018i	0.175466	+	0.654848i	0.996472	+	0.0839282i	$0.0267466\pi$
$739$	4.76997	+	17.8018i	0.175466	+	0.654848i	−0.821006	+	0.570920i	$0.806587\pi$
$740$	−1.46552	−	2.53836i	−0.0538736	−	0.0933118i
$741$	1.63524	+	2.11638i	0.0600720	+	0.0777473i
$742$	−0.234419	−	1.09735i	−0.00860578	−	0.0402849i
$743$	3.66385	+	3.66385i	0.134413	+	0.134413i	0.771112	−	0.636699i	$-0.219701\pi$
$743$	3.66385	+	3.66385i	0.134413	+	0.134413i	−0.636699	+	0.771112i	$0.719701\pi$
$744$	0.595287	+	1.03107i	0.0218243	+	0.0378008i
$745$	−11.6135	+	20.1151i	−0.425485	+	0.736961i
$746$	−3.86920	+	1.03675i	−0.141661	+	0.0379580i
$747$	−1.44576	−	0.387390i	−0.0528976	−	0.0141739i
$748$	−38.0802	−	38.0802i	−1.39235	−	1.39235i
$749$	−2.36333	+	45.9927i	−0.0863542	+	1.68054i
$750$	1.49437			0.0545667
$751$	−11.0553	+	6.38278i	−0.403413	+	0.232911i	−0.687956	−	0.725753i	$-0.741492\pi$
$751$	−11.0553	+	6.38278i	−0.403413	+	0.232911i	0.284542	+	0.958663i	$0.408158\pi$
$752$	−14.1362	+	3.78777i	−0.515493	+	0.138126i
$753$	6.53267	+	3.77164i	0.238064	+	0.137446i
$754$	−0.761149	+	1.85511i	−0.0277194	+	0.0675591i
$755$		−	14.8617i		−	0.540871i
$756$	−4.58207	+	2.34057i	−0.166648	+	0.0851258i
$757$	10.7350			0.390171			0.195085	−	0.980786i	$-0.437502\pi$
$757$	10.7350			0.390171			0.195085	+	0.980786i	$0.437502\pi$
$758$	0.652517	−	0.376731i	0.0237005	−	0.0136835i
$759$	−10.3606	−	38.6663i	−0.376066	−	1.40350i
$760$	−2.28720	+	0.612853i	−0.0829654	+	0.0222305i
$761$	6.45852	−	24.1035i	0.234121	−	0.873751i	−0.744422	−	0.667709i	$-0.767275\pi$
$761$	6.45852	−	24.1035i	0.234121	−	0.873751i	0.978543	−	0.206042i	$-0.0660584\pi$
$762$	2.67227	+	2.67227i	0.0968060	+	0.0968060i
$763$	23.3715	+	7.56750i	0.846104	+	0.273962i
$764$			43.7619i			1.58325i
$765$	−16.7210	−	4.48038i	−0.604549	−	0.161988i
$766$	2.99208	−	5.18243i	0.108108	−	0.187249i
$767$	−26.1036	+	3.52549i	−0.942545	+	0.127298i
$768$	10.1835	−	5.87942i	0.367464	−	0.212155i
$769$	9.28215	−	9.28215i	0.334723	−	0.334723i	−0.519654	−	0.854377i	$-0.673939\pi$
$769$	9.28215	−	9.28215i	0.334723	−	0.334723i	0.854377	+	0.519654i	$0.173939\pi$
$770$	−7.89691	−	8.75243i	−0.284585	−	0.315416i
$771$		−	16.4105i		−	0.591008i
$772$	−7.42964	+	27.7278i	−0.267399	+	0.997945i
$773$	−2.52871	−	9.43726i	−0.0909513	−	0.339435i	0.905423	−	0.424510i	$-0.139554\pi$
$773$	−2.52871	−	9.43726i	−0.0909513	−	0.339435i	−0.996375	+	0.0850752i	$0.972887\pi$
$774$	−0.601026	−	2.24306i	−0.0216034	−	0.0806251i
$775$	2.27481	−	8.48970i	0.0817135	−	0.304959i
$776$			4.32731i			0.155341i
$777$	0.242032	+	1.13299i	0.00868285	+	0.0406457i
$778$	−2.75058	+	2.75058i	−0.0986132	+	0.0986132i
$779$	−2.78933	+	1.61042i	−0.0999382	+	0.0576994i
$780$	−3.23015	−	23.9168i	−0.115658	−	0.856358i
$781$	−6.30455	+	10.9198i	−0.225595	+	0.390741i
$782$	8.30399	+	2.22505i	0.296950	+	0.0795676i
$783$		−	2.36544i		−	0.0845340i
$784$	−15.0635	+	20.8223i	−0.537982	+	0.743655i
$785$	30.8013	+	30.8013i	1.09935	+	1.09935i
$786$	0.0332142	−	0.123957i	0.00118471	−	0.00442140i
$787$	8.14074	−	2.18130i	0.290186	−	0.0777551i	−0.110790	−	0.993844i	$-0.535338\pi$
$787$	8.14074	−	2.18130i	0.290186	−	0.0777551i	0.400975	+	0.916089i	$0.368671\pi$
$788$	−0.0954169	−	0.356101i	−0.00339909	−	0.0126856i
$789$	7.58761	−	4.38071i	0.270126	−	0.155957i
$790$	5.92565			0.210825
$791$	15.3430	+	9.94159i	0.545533	+	0.353482i
$792$		−	5.10651i		−	0.181452i
$793$	−33.7305	+	14.1040i	−1.19781	+	0.500849i
$794$	3.26210	+	1.88338i	0.115768	+	0.0668385i
$795$	−5.99731	+	1.60697i	−0.212703	+	0.0569935i
$796$	28.3876	−	16.3896i	1.00617	−	0.580914i
$797$	−41.8551			−1.48259			−0.741293	−	0.671182i	$-0.765787\pi$
$797$	−41.8551			−1.48259			−0.741293	+	0.671182i	$0.765787\pi$
$798$	0.460810	+	0.0236787i	0.0163125	+	0.000838216i
$799$	14.1763	+	14.1763i	0.501520	+	0.501520i
$800$	17.9756	+	4.81655i	0.635534	+	0.170291i
$801$	1.38303	−	0.370581i	0.0488668	−	0.0130938i
$802$	0.337199	−	0.584045i	0.0119069	−	0.0206234i
$803$	7.49669	+	12.9847i	0.264553	+	0.458219i
$804$	−20.3663	−	20.3663i	−0.718264	−	0.718264i
$805$	−62.9868	−	20.3946i	−2.21999	−	0.718817i
$806$	1.07937	+	0.138429i	0.0380191	+	0.00487594i
$807$	−8.80870	−	15.2571i	−0.310081	−	0.537076i
$808$	−1.14426	−	4.27044i	−0.0402549	−	0.150233i
$809$	16.2404	−	28.1293i	0.570983	−	0.988972i	−0.425482	−	0.904967i	$-0.639895\pi$
$809$	16.2404	−	28.1293i	0.570983	−	0.988972i	0.996465	−	0.0840052i	$-0.0267712\pi$
$810$	−0.404612	−	0.700809i	−0.0142166	−	0.0246239i
$811$	−19.2991	+	19.2991i	−0.677684	+	0.677684i	−0.959476	−	0.281792i	$-0.909071\pi$
$811$	−19.2991	+	19.2991i	−0.677684	+	0.677684i	0.281792	+	0.959476i	$0.409071\pi$
$812$	−5.53649	−	10.8386i	−0.194293	−	0.380361i
$813$	−1.50225	+	1.50225i	−0.0526861	+	0.0526861i
$814$	−0.547541	−	0.146713i	−0.0191913	−	0.00514230i
$815$	55.8506	+	32.2453i	1.95636	+	1.12951i
$816$	−15.9912	−	9.23254i	−0.559805	−	0.323204i
$817$	1.89626	−	7.07693i	0.0663417	−	0.247590i
$818$	−1.17938			−0.0412361
$819$	−1.69745	+	9.38715i	−0.0593136	+	0.328014i
$820$	29.0637			1.01495
$821$	−0.474534	+	1.77099i	−0.0165614	+	0.0618078i	−0.973712	−	0.227783i	$-0.926852\pi$
$821$	−0.474534	+	1.77099i	−0.0165614	+	0.0618078i	0.957151	+	0.289590i	$0.0935191\pi$
$822$	0.425844	+	0.245861i	0.0148530	+	0.00857540i
$823$	−28.8269	−	16.6432i	−1.00484	−	0.580146i	−0.0951652	−	0.995461i	$-0.530338\pi$
$823$	−28.8269	−	16.6432i	−1.00484	−	0.580146i	−0.909678	+	0.415315i	$0.863671\pi$
$824$	−6.59360	−	1.76675i	−0.229699	−	0.0615476i
$825$	−26.6564	+	26.6564i	−0.928056	+	0.928056i
$826$	−2.47115	+	3.81374i	−0.0859822	+	0.132697i
$827$	15.1133	−	15.1133i	0.525540	−	0.525540i	−0.393699	−	0.919239i	$-0.628805\pi$
$827$	15.1133	−	15.1133i	0.525540	−	0.525540i	0.919239	+	0.393699i	$0.128805\pi$
$828$	−7.06936	−	12.2445i	−0.245677	−	0.425526i
$829$	16.6835	−	28.8966i	0.579441	−	1.00362i	−0.416103	−	0.909318i	$-0.636604\pi$
$829$	16.6835	−	28.8966i	0.579441	−	1.00362i	0.995544	−	0.0943031i	$-0.0300623\pi$
$830$	−0.313485	−	1.16994i	−0.0108812	−	0.0406093i
$831$	−12.7073	−	22.0097i	−0.440811	−	0.763508i
$832$	3.07471	−	23.9743i	0.106596	−	0.831161i
$833$	35.0207	+	3.60859i	1.21339	+	0.125030i
$834$	2.41484	+	2.41484i	0.0836189	+	0.0836189i
$835$	−28.9010	−	50.0581i	−1.00016	−	1.73233i
$836$	3.97136	−	6.87860i	0.137352	−	0.237901i
$837$	−1.23997	+	0.332250i	−0.0428598	+	0.0114842i
$838$	−2.52377	−	0.676243i	−0.0871823	−	0.0233604i
$839$	28.4310	+	28.4310i	0.981547	+	0.981547i	0.999833	−	0.0182854i	$-0.00582073\pi$
$839$	28.4310	+	28.4310i	0.981547	+	0.981547i	−0.0182854	+	0.999833i	$0.505821\pi$
$840$	−7.08783	−	4.59262i	−0.244553	−	0.158460i
$841$	−23.4047			−0.807058
$842$	−2.51786	+	1.45369i	−0.0867712	+	0.0500974i
$843$	7.95907	−	2.13263i	0.274125	−	0.0734516i
$844$	35.1763	+	20.3090i	1.21082	+	0.699065i
$845$	−38.8989	−	22.1125i	−1.33816	−	0.760694i
$846$			0.937189i			0.0322212i
$847$	51.0383	+	2.62260i	1.75370	+	0.0901134i
$848$	−6.62286			−0.227430
$849$	21.0787	−	12.1698i	0.723418	−	0.417665i
$850$	−2.09540	−	7.82013i	−0.0718716	−	0.268228i
$851$	−3.07512	+	0.823976i	−0.105414	+	0.0282455i
$852$	−1.15266	+	4.30179i	−0.0394895	+	0.147377i
$853$	11.6509	+	11.6509i	0.398919	+	0.398919i	0.877852	−	0.478933i	$-0.158976\pi$
$853$	11.6509	+	11.6509i	0.398919	+	0.398919i	−0.478933	+	0.877852i	$0.658976\pi$
$854$	−1.94302	+	6.00082i	−0.0664887	+	0.205344i
$855$		−	2.55313i		−	0.0873152i
$856$	−15.5935	−	4.17827i	−0.532975	−	0.142810i
$857$	6.05307	−	10.4842i	0.206769	−	0.358134i	−0.743926	−	0.668262i	$-0.767038\pi$
$857$	6.05307	−	10.4842i	0.206769	−	0.358134i	0.950695	+	0.310128i	$0.100372\pi$
$858$	−3.71242	−	2.82895i	−0.126740	−	0.0965789i
$859$	0.269366	−	0.155519i	0.00919066	−	0.00530623i	−0.495398	−	0.868666i	$-0.664978\pi$
$859$	0.269366	−	0.155519i	0.00919066	−	0.00530623i	0.504588	+	0.863360i	$0.331644\pi$
$860$	−46.7485	+	46.7485i	−1.59411	+	1.59411i
$861$	−10.9293	−	3.53884i	−0.372471	−	0.120603i
$862$		−	5.89379i		−	0.200743i
$863$	0.833569	−	3.11092i	0.0283750	−	0.105897i	−0.950286	−	0.311378i	$-0.899209\pi$
$863$	0.833569	−	3.11092i	0.0283750	−	0.105897i	0.978661	+	0.205481i	$0.0658760\pi$
$864$	−0.703488	−	2.62545i	−0.0239331	−	0.0893197i
$865$	−12.7284	−	47.5030i	−0.432778	−	1.61515i
$866$	2.06608	−	7.71072i	0.0702083	−	0.262021i
$867$			8.29532i			0.281724i
$868$	−4.90399	+	4.42464i	−0.166452	+	0.150182i
$869$	−28.5094	+	28.5094i	−0.967116	+	0.967116i
$870$	1.65772	−	0.957087i	0.0562021	−	0.0324483i
$871$	−52.9195	+	7.14720i	−1.79311	+	0.242174i
$872$	−4.30570	+	7.45770i	−0.145810	+	0.252550i
$873$	−4.50687	−	1.20761i	−0.152534	−	0.0408715i
$874$			1.26794i			0.0428886i
$875$	3.51314	+	16.4455i	0.118766	+	0.555959i
$876$	3.74460	+	3.74460i	0.126518	+	0.126518i
$877$	4.78884	−	17.8722i	0.161708	−	0.603502i	−0.836729	−	0.547616i	$-0.815535\pi$
$877$	4.78884	−	17.8722i	0.161708	−	0.603502i	0.998437	−	0.0558850i	$-0.0177980\pi$
$878$	−1.98009	+	0.530564i	−0.0668248	+	0.0179057i
$879$	−6.29438	−	23.4910i	−0.212304	−	0.792330i
$880$	−60.2555	+	34.7885i	−2.03121	+	1.17272i
$881$	6.85075			0.230808			0.115404	−	0.993319i	$-0.463184\pi$
$881$	6.85075			0.230808			0.115404	+	0.993319i	$0.463184\pi$
$882$	1.03832	+	1.27689i	0.0349622	+	0.0429950i
$883$			0.0655323i			0.00220534i	0.999999	+	0.00110267i	$0.000350991\pi$
$883$			0.0655323i			0.00220534i	−0.999999	+	0.00110267i	$0.999649\pi$
$884$	−32.5357	+	13.6044i	−1.09429	+	0.457567i
$885$	21.7762	+	12.5725i	0.731999	+	0.422620i
$886$	6.62932	−	1.77632i	0.222716	−	0.0596767i
$887$	23.4431	−	13.5349i	0.787142	−	0.454457i	−0.0518133	−	0.998657i	$-0.516500\pi$
$887$	23.4431	−	13.5349i	0.787142	−	0.454457i	0.838955	+	0.544200i	$0.183167\pi$
$888$	−0.406119			−0.0136285
$889$	−23.1259	+	35.6904i	−0.775618	+	1.19702i
$890$	0.819295	+	0.819295i	0.0274628	+	0.0274628i
$891$	5.31839	+	1.42506i	0.178173	+	0.0477413i
$892$	52.8664	−	14.1655i	1.77010	−	0.474297i
$893$	−1.47843	+	2.56072i	−0.0494739	+	0.0856912i
$894$	0.793294	+	1.37403i	0.0265317	+	0.0459543i
$895$	9.54231	+	9.54231i	0.318964	+	0.318964i
$896$	−12.4282	−	13.7747i	−0.415198	−	0.460179i
$897$	−26.0005	−	3.33456i	−0.868131	−	0.111338i
$898$	−1.00310	−	1.73742i	−0.0334739	−	0.0579784i
$899$	−0.785919	−	2.93309i	−0.0262119	−	0.0978240i
$900$	−6.65744	+	11.5310i	−0.221915	+	0.384368i
$901$	4.53633	+	7.85715i	0.151127	+	0.261760i
$902$	3.97454	−	3.97454i	0.132338	−	0.132338i
$903$	23.2718	−	11.8875i	0.774437	−	0.395591i
$904$	−4.53162	+	4.53162i	−0.150719	+	0.150719i
$905$	24.2280	+	6.49186i	0.805365	+	0.215797i
$906$	−0.879166	−	0.507586i	−0.0292083	−	0.0168634i
$907$	−14.6332	−	8.44847i	−0.485887	−	0.280527i	0.236980	−	0.971515i	$-0.423843\pi$
$907$	−14.6332	−	8.44847i	−0.485887	−	0.280527i	−0.722867	+	0.690988i	$0.757176\pi$
$908$	9.55028	−	35.6421i	0.316937	−	1.18283i
$909$	4.76696			0.158110
$910$	−7.26541	+	2.60857i	−0.240846	+	0.0864733i
$911$	−56.6269			−1.87613			−0.938067	−	0.346454i	$-0.887386\pi$
$911$	−56.6269			−1.87613			−0.938067	+	0.346454i	$0.887386\pi$
$912$	0.704859	−	2.63057i	0.0233402	−	0.0871069i
$913$	7.13707	+	4.12059i	0.236202	+	0.136372i
$914$	8.37297	+	4.83414i	0.276953	+	0.159899i
$915$	33.7118	+	9.03306i	1.11448	+	0.298624i
$916$	−25.7803	+	25.7803i	−0.851805	+	0.851805i
$917$	1.44222	+	0.0741085i	0.0476264	+	0.00244728i
$918$	−0.836134	+	0.836134i	−0.0275965	+	0.0275965i
$919$	−5.66412	−	9.81055i	−0.186842	−	0.323620i	0.757354	−	0.653005i	$-0.226492\pi$
$919$	−5.66412	−	9.81055i	−0.186842	−	0.323620i	−0.944196	+	0.329385i	$0.893159\pi$
$920$	11.6040	−	20.0987i	0.382573	−	0.662635i
$921$	1.55916	+	5.81885i	0.0513759	+	0.191738i
$922$	−2.70539	−	4.68588i	−0.0890974	−	0.154321i
$923$	5.04840	+	6.53382i	0.166170	+	0.215063i
$924$	27.7047	−	5.91836i	0.911418	−	0.194700i
$925$	2.11997	+	2.11997i	0.0697043	+	0.0697043i
$926$	1.87470	+	3.24707i	0.0616063	+	0.106705i
$927$	3.68011	−	6.37415i	0.120871	−	0.209354i
$928$	6.21036	−	1.66406i	0.203865	−	0.0546254i
$929$	−7.80078	−	2.09021i	−0.255935	−	0.0685776i	0.128570	−	0.991700i	$-0.458961\pi$
$929$	−7.80078	−	2.09021i	−0.255935	−	0.0685776i	−0.384505	+	0.923123i	$0.625628\pi$
$930$	−0.734553	−	0.734553i	−0.0240869	−	0.0240869i
$931$	0.822741	+	5.12686i	0.0269643	+	0.168026i
$932$	15.4189			0.505062
$933$	11.8993	−	6.87006i	0.389565	−	0.224916i
$934$	−5.40249	+	1.44759i	−0.176775	+	0.0473667i
$935$	82.5440	+	47.6568i	2.69948	+	1.55854i
$936$	−3.09367	−	1.26933i	−0.101120	−	0.0414893i
$937$			24.7396i			0.808208i	0.914713	+	0.404104i	$0.132417\pi$
$937$			24.7396i			0.808208i	−0.914713	+	0.404104i	$0.867583\pi$
$938$	−5.00974	+	7.73157i	−0.163574	+	0.252445i
$939$	−5.08493			−0.165940
$940$	23.1070	−	13.3408i	0.753667	−	0.435130i
$941$	−12.7342	−	47.5249i	−0.415125	−	1.54927i	−0.784586	−	0.620020i	$-0.787124\pi$
$941$	−12.7342	−	47.5249i	−0.415125	−	1.54927i	0.369461	−	0.929246i	$-0.379542\pi$
$942$	2.87409	−	0.770110i	0.0936429	−	0.0250915i
$943$	8.17041	−	30.4924i	0.266065	−	0.992968i
$944$	18.9657	+	18.9657i	0.617282	+	0.617282i
$945$	6.76116	−	6.10028i	0.219941	−	0.198442i
$946$			12.7860i			0.415708i
$947$	−6.39050	−	1.71233i	−0.207663	−	0.0556433i	0.153488	−	0.988151i	$-0.450949\pi$
$947$	−6.39050	−	1.71233i	−0.207663	−	0.0556433i	−0.361151	+	0.932507i	$0.617616\pi$
$948$	−7.12024	+	12.3326i	−0.231255	+	0.400545i
$949$	9.72993	−	1.31410i	0.315847	−	0.0426576i
$950$	1.03408	−	0.597029i	0.0335501	−	0.0193702i
$951$	−16.2639	+	16.2639i	−0.527393	+	0.527393i
$952$	−3.80166	+	11.7410i	−0.123212	+	0.380529i
$953$			13.0387i			0.422364i	0.977447	+	0.211182i	$0.0677313\pi$
$953$			13.0387i			0.422364i	−0.977447	+	0.211182i	$0.932269\pi$
$954$	−0.109769	+	0.409665i	−0.00355392	+	0.0132634i
$955$	−20.0462	−	74.8136i	−0.648681	−	2.42091i
$956$	−13.0934	−	48.8654i	−0.423472	−	1.58042i
$957$	−3.37090	+	12.5804i	−0.108966	+	0.406665i
$958$			6.10217i			0.197152i
$959$	−1.70457	+	5.26440i	−0.0550434	+	0.169996i
$960$	−16.3155	+	16.3155i	−0.526581	+	0.526581i
$961$	25.4196	−	14.6760i	0.819988	−	0.473421i
$962$	−0.224986	+	0.295247i	−0.00725383	+	0.00951916i
$963$	8.70327	−	15.0745i	0.280459	−	0.485769i
$964$	10.9133	+	2.92420i	0.351492	+	0.0941821i
$965$		−	50.8056i		−	1.63549i
$966$	−3.35773	+	3.02953i	−0.108033	+	0.0974734i
$967$	3.65506	+	3.65506i	0.117539	+	0.117539i	0.763430	−	0.645891i	$-0.223514\pi$
$967$	3.65506	+	3.65506i	0.117539	+	0.117539i	−0.645891	+	0.763430i	$0.723514\pi$
$968$	−4.63664	+	17.3042i	−0.149027	+	0.556177i
$969$	−3.60362	+	0.965586i	−0.115765	+	0.0310191i
$970$	−0.977229	−	3.64707i	−0.0313769	−	0.117100i
$971$	−11.8088	+	6.81784i	−0.378964	+	0.218795i	−0.677367	−	0.735645i	$-0.736879\pi$
$971$	−11.8088	+	6.81784i	−0.378964	+	0.218795i	0.298404	+	0.954440i	$0.403546\pi$
$972$	1.94472			0.0623770
$973$	−20.8981	+	32.2522i	−0.669962	+	1.03396i
$974$			6.61234i			0.211873i
$975$	9.52319	+	22.7752i	0.304986	+	0.729389i
$976$	32.2405	+	18.6141i	1.03199	+	0.595822i
$977$	32.1283	−	8.60874i	1.02787	−	0.275418i	0.294794	−	0.955561i	$-0.404749\pi$
$977$	32.1283	−	8.60874i	1.02787	−	0.275418i	0.733080	+	0.680143i	$0.238082\pi$
$978$	3.81505	−	2.20262i	0.121992	−	0.0704320i
$979$	−7.88358			−0.251960
$980$	16.7020	−	43.7769i	0.533525	−	1.39840i
$981$	−6.56556	−	6.56556i	−0.209622	−	0.209622i
$982$	5.49526	+	1.47245i	0.175361	+	0.0469878i
$983$	−56.9567	+	15.2615i	−1.81664	+	0.486767i	−0.996363	−	0.0852044i	$-0.972846\pi$
$983$	−56.9567	+	15.2615i	−1.81664	+	0.486767i	−0.820274	+	0.571971i	$0.806179\pi$
$984$	2.01350	−	3.48749i	0.0641881	−	0.111177i
$985$	0.326242	+	0.565067i	0.0103949	+	0.0180045i
$986$	−1.97783	−	1.97783i	−0.0629868	−	0.0629868i
$987$	−10.3137	+	2.20325i	−0.328290	+	0.0701302i
$988$	−3.18009	−	4.11578i	−0.101172	−	0.130940i
$989$	35.9045	+	62.1884i	1.14170	+	1.97748i
$990$	1.15319	+	4.30377i	0.0366509	+	0.136783i
$991$	−24.8801	+	43.0935i	−0.790341	+	1.36891i	0.135414	+	0.990789i	$0.456763\pi$
$991$	−24.8801	+	43.0935i	−0.790341	+	1.36891i	−0.925756	+	0.378122i	$0.876570\pi$
$992$	−1.74461	−	3.02176i	−0.0553915	−	0.0959409i
$993$	1.34271	−	1.34271i	0.0426096	−	0.0426096i
$994$	1.42264	+	0.0731021i	0.0451234	+	0.00231866i
$995$	−41.0226	+	41.0226i	−1.30051	+	1.30051i
$996$	2.81160	+	0.753367i	0.0890890	+	0.0238713i
$997$	25.7691	+	14.8778i	0.816115	+	0.471184i	0.849075	−	0.528273i	$-0.177160\pi$
$997$	25.7691	+	14.8778i	0.816115	+	0.471184i	−0.0329601	+	0.999457i	$0.510493\pi$
$998$	2.09649	+	1.21041i	0.0663633	+	0.0383149i
$999$	0.113334	−	0.422970i	0.00358574	−	0.0133822i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.bz.b.73.5	yes	36
3.2	odd	2		819.2.fn.g.73.5		36
7.5	odd	6		273.2.bz.a.229.5	yes	36
13.5	odd	4		273.2.bz.a.31.5	✓	36
21.5	even	6		819.2.fn.f.775.5		36
39.5	even	4		819.2.fn.f.577.5		36
91.5	even	12	inner	273.2.bz.b.187.5	yes	36
273.5	odd	12		819.2.fn.g.460.5		36

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.bz.a.31.5	✓	36	13.5	odd	4
273.2.bz.a.229.5	yes	36	7.5	odd	6
273.2.bz.b.73.5	yes	36	1.1	even	1	trivial
273.2.bz.b.187.5	yes	36	91.5	even	12	inner
819.2.fn.f.577.5		36	39.5	even	4
819.2.fn.f.775.5		36	21.5	even	6
819.2.fn.g.73.5		36	3.2	odd	2
819.2.fn.g.460.5		36	273.5	odd	12

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:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.bz (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.0608509 - 0.227099i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(1.68418 + 0.972362i) q^{4} +(-3.32462 - 0.890829i) q^{5} +(-0.166248 + 0.166248i) q^{6} +(-2.22038 - 1.43872i) q^{7} +(0.655801 - 0.655801i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\)	\(q+(0.0608509 - 0.227099i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(1.68418 + 0.972362i) q^{4} +(-3.32462 - 0.890829i) q^{5} +(-0.166248 + 0.166248i) q^{6} +(-2.22038 - 1.43872i) q^{7} +(0.655801 - 0.655801i) q^{8} +(0.500000 + 0.866025i) q^{9} +(-0.404612 + 0.700809i) q^{10} +(-1.42506 - 5.31839i) q^{11} +(-0.972362 - 1.68418i) q^{12} +(-3.57626 - 0.458655i) q^{13} +(-0.461842 + 0.416699i) q^{14} +(2.43379 + 2.43379i) q^{15} +(1.83570 + 3.17952i) q^{16} +(2.51472 - 4.35563i) q^{17} +(0.227099 - 0.0608509i) q^{18} +(0.716504 + 0.191987i) q^{19} +(-4.73305 - 4.73305i) q^{20} +(1.20355 + 2.35616i) q^{21} -1.29452 q^{22} +(-6.29627 + 3.63515i) q^{23} +(-0.895841 + 0.240040i) q^{24} +(5.92939 + 3.42334i) q^{25} +(-0.321779 + 0.784254i) q^{26} -1.00000i q^{27} +(-2.34057 - 4.58207i) q^{28} +2.36544 q^{29} +(0.700809 - 0.404612i) q^{30} +(-0.332250 - 1.23997i) q^{31} +(2.62545 - 0.703488i) q^{32} +(-1.42506 + 5.31839i) q^{33} +(-0.836134 - 0.836134i) q^{34} +(6.10028 + 6.76116i) q^{35} +1.94472i q^{36} +(0.422970 + 0.113334i) q^{37} +(0.0871998 - 0.151035i) q^{38} +(2.86780 + 2.18534i) q^{39} +(-2.76450 + 1.59608i) q^{40} +(-3.07029 + 3.07029i) q^{41} +(0.608317 - 0.129950i) q^{42} -9.87703i q^{43} +(2.77135 - 10.3428i) q^{44} +(-0.890829 - 3.32462i) q^{45} +(0.442404 + 1.65108i) q^{46} +(-1.03170 + 3.85035i) q^{47} -3.67140i q^{48} +(2.86020 + 6.38900i) q^{49} +(1.13824 - 1.13824i) q^{50} +(-4.35563 + 2.51472i) q^{51} +(-5.57709 - 4.24988i) q^{52} +(-0.901954 + 1.56223i) q^{53} +(-0.227099 - 0.0608509i) q^{54} +18.9511i q^{55} +(-2.39964 + 0.512619i) q^{56} +(-0.524517 - 0.524517i) q^{57} +(0.143939 - 0.537189i) q^{58} +(7.05662 - 1.89082i) q^{59} +(1.73242 + 6.46547i) q^{60} +(8.78155 - 5.07003i) q^{61} -0.301814 q^{62} +(0.135772 - 2.64227i) q^{63} +6.70375i q^{64} +(11.4811 + 4.71069i) q^{65} +(1.12108 + 0.647258i) q^{66} +(14.3058 - 3.83324i) q^{67} +(8.47049 - 4.89044i) q^{68} +7.27030 q^{69} +(1.90666 - 0.973942i) q^{70} +(-1.61932 - 1.61932i) q^{71} +(0.895841 + 0.240040i) q^{72} +(-2.63031 + 0.704789i) q^{73} +(0.0514762 - 0.0891594i) q^{74} +(-3.42334 - 5.92939i) q^{75} +(1.02004 + 1.02004i) q^{76} +(-4.48748 + 13.8591i) q^{77} +(0.670795 - 0.518295i) q^{78} +(-3.66131 - 6.34158i) q^{79} +(-3.27059 - 12.2060i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(0.510429 + 0.884090i) q^{82} +(-1.05837 + 1.05837i) q^{83} +(-0.264040 + 5.13848i) q^{84} +(-12.2406 + 12.2406i) q^{85} +(-2.24306 - 0.601026i) q^{86} +(-2.04853 - 1.18272i) q^{87} +(-4.42237 - 2.55325i) q^{88} +(0.370581 - 1.38303i) q^{89} -0.809224 q^{90} +(7.28079 + 6.16361i) q^{91} -14.1387 q^{92} +(-0.332250 + 1.23997i) q^{93} +(0.811630 + 0.468595i) q^{94} +(-2.21108 - 1.27657i) q^{95} +(-2.62545 - 0.703488i) q^{96} +(-3.29926 + 3.29926i) q^{97} +(1.62498 - 0.260771i) q^{98} +(3.89333 - 3.89333i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 36 q + 4 q^{7} + 18 q^{9}+O(q^{10}) \) 36 * q + 4 * q^7 + 18 * q^9	\( 36 q + 4 q^{7} + 18 q^{9} + 4 q^{11} + 16 q^{12} - 36 q^{14} + 12 q^{16} - 4 q^{17} - 12 q^{19} - 44 q^{20} + 6 q^{21} - 8 q^{22} + 12 q^{23} - 18 q^{24} + 48 q^{25} - 28 q^{26} + 12 q^{28} - 16 q^{29} - 56 q^{32} + 4 q^{33} + 48 q^{34} + 8 q^{35} + 22 q^{37} - 16 q^{38} - 8 q^{39} + 60 q^{40} + 32 q^{41} + 12 q^{42} + 4 q^{44} - 44 q^{46} - 14 q^{47} - 6 q^{49} - 68 q^{50} + 12 q^{51} - 82 q^{52} - 8 q^{53} + 8 q^{56} - 6 q^{57} - 84 q^{58} + 70 q^{59} + 2 q^{60} + 36 q^{61} - 48 q^{62} + 2 q^{63} - 8 q^{65} + 38 q^{67} + 36 q^{68} + 8 q^{69} - 40 q^{70} - 36 q^{71} + 18 q^{72} - 46 q^{73} + 40 q^{74} - 10 q^{75} + 60 q^{76} - 60 q^{77} + 32 q^{78} - 38 q^{80} - 18 q^{81} - 24 q^{83} + 38 q^{84} + 44 q^{85} - 24 q^{86} + 36 q^{87} - 168 q^{88} + 38 q^{89} - 14 q^{91} - 40 q^{92} + 56 q^{96} - 36 q^{97} + 58 q^{98} + 8 q^{99}+O(q^{100}) \) 36 * q + 4 * q^7 + 18 * q^9 + 4 * q^11 + 16 * q^12 - 36 * q^14 + 12 * q^16 - 4 * q^17 - 12 * q^19 - 44 * q^20 + 6 * q^21 - 8 * q^22 + 12 * q^23 - 18 * q^24 + 48 * q^25 - 28 * q^26 + 12 * q^28 - 16 * q^29 - 56 * q^32 + 4 * q^33 + 48 * q^34 + 8 * q^35 + 22 * q^37 - 16 * q^38 - 8 * q^39 + 60 * q^40 + 32 * q^41 + 12 * q^42 + 4 * q^44 - 44 * q^46 - 14 * q^47 - 6 * q^49 - 68 * q^50 + 12 * q^51 - 82 * q^52 - 8 * q^53 + 8 * q^56 - 6 * q^57 - 84 * q^58 + 70 * q^59 + 2 * q^60 + 36 * q^61 - 48 * q^62 + 2 * q^63 - 8 * q^65 + 38 * q^67 + 36 * q^68 + 8 * q^69 - 40 * q^70 - 36 * q^71 + 18 * q^72 - 46 * q^73 + 40 * q^74 - 10 * q^75 + 60 * q^76 - 60 * q^77 + 32 * q^78 - 38 * q^80 - 18 * q^81 - 24 * q^83 + 38 * q^84 + 44 * q^85 - 24 * q^86 + 36 * q^87 - 168 * q^88 + 38 * q^89 - 14 * q^91 - 40 * q^92 + 56 * q^96 - 36 * q^97 + 58 * q^98 + 8 * q^99

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