LMFDB - Embedded newform 806.2.bw.a.51.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [806,2,Mod(51,806)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(806, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 8]))

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

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

chi := DirichletCharacter("806.51");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 806 = 2 \cdot 13 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	806.bw (of order $30$, degree $8$, 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:	$6.43594240292$
Analytic rank:	$0$
Dimension:	$288$
Relative dimension:	$36$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			51.13
Character	$\chi$	$=$	806.51
Dual form			806.2.bw.a.727.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.951057 + 0.309017i) q^{2} +(0.609657 + 0.677092i) q^{3} +(0.809017 - 0.587785i) q^{4} +(2.79623 - 1.61441i) q^{5} +(-0.789051 - 0.455559i) q^{6} +(-5.08752 + 0.534719i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(0.226813 - 2.15798i) q^{9} +O(q^{10})$	\(q+(-0.951057 + 0.309017i) q^{2} +(0.609657 + 0.677092i) q^{3} +(0.809017 - 0.587785i) q^{4} +(2.79623 - 1.61441i) q^{5} +(-0.789051 - 0.455559i) q^{6} +(-5.08752 + 0.534719i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(0.226813 - 2.15798i) q^{9} +(-2.16050 + 2.39948i) q^{10} +(-1.06750 + 2.39765i) q^{11} +(0.891208 + 0.189432i) q^{12} +(-3.32644 - 1.39097i) q^{13} +(4.67328 - 2.08068i) q^{14} +(2.79784 + 0.909075i) q^{15} +(0.309017 - 0.951057i) q^{16} +(5.90218 - 2.62782i) q^{17} +(0.451140 + 2.12245i) q^{18} +(1.36644 - 6.42857i) q^{19} +(1.31328 - 2.94967i) q^{20} +(-3.46369 - 3.11872i) q^{21} +(0.274341 - 2.61018i) q^{22} +(3.33392 + 2.42224i) q^{23} +(-0.906126 + 0.0952377i) q^{24} +(2.71261 - 4.69839i) q^{25} +(3.59347 + 0.294967i) q^{26} +(3.81076 - 2.76868i) q^{27} +(-3.80159 + 3.42296i) q^{28} +(-1.26236 - 3.88514i) q^{29} -2.94183 q^{30} +(3.35910 - 4.44032i) q^{31} +1.00000i q^{32} +(-2.27424 + 0.738946i) q^{33} +(-4.80126 + 4.32308i) q^{34} +(-13.3626 + 9.70852i) q^{35} +(-1.08493 - 1.87916i) q^{36} +(-4.81718 - 2.78120i) q^{37} +(0.686981 + 6.53619i) q^{38} +(-1.08617 - 3.10032i) q^{39} +(-0.337503 + 3.21112i) q^{40} +(-1.91799 - 1.72697i) q^{41} +(4.25791 + 1.89574i) q^{42} +(-5.64894 - 1.20072i) q^{43} +(0.545676 + 2.56720i) q^{44} +(-2.84963 - 6.40038i) q^{45} +(-3.91926 - 1.27345i) q^{46} +(1.03530 + 0.336388i) q^{47} +(0.832347 - 0.370585i) q^{48} +(18.7499 - 3.98540i) q^{49} +(-1.12797 + 5.30667i) q^{50} +(5.37758 + 2.39425i) q^{51} +(-3.50874 + 0.829912i) q^{52} +(0.402972 - 3.83402i) q^{53} +(-2.76868 + 3.81076i) q^{54} +(0.885795 + 8.42778i) q^{55} +(2.55777 - 4.43019i) q^{56} +(5.18579 - 2.99402i) q^{57} +(2.40115 + 3.30490i) q^{58} +(-0.600007 + 0.540249i) q^{59} +(2.79784 - 0.909075i) q^{60} -10.5303 q^{61} +(-1.82256 + 5.26102i) q^{62} +11.1000i q^{63} +(-0.309017 - 0.951057i) q^{64} +(-11.5471 + 1.48074i) q^{65} +(1.93459 - 1.40556i) q^{66} +(-3.33776 + 1.92706i) q^{67} +(3.23037 - 5.59516i) q^{68} +(0.392471 + 3.73411i) q^{69} +(9.70852 - 13.3626i) q^{70} +(10.9531 + 1.15121i) q^{71} +(1.61252 + 1.45192i) q^{72} +(0.345680 - 0.776409i) q^{73} +(5.44084 + 1.15649i) q^{74} +(4.83500 - 1.02771i) q^{75} +(-2.67315 - 6.00399i) q^{76} +(4.14887 - 12.7689i) q^{77} +(1.99106 + 2.61294i) q^{78} +(0.112930 - 0.0502798i) q^{79} +(-0.671308 - 3.15825i) q^{80} +(-2.16944 - 0.461129i) q^{81} +(2.35778 + 1.04975i) q^{82} +(3.68844 + 3.32109i) q^{83} +(-4.63533 - 0.487192i) q^{84} +(12.2615 - 16.8765i) q^{85} +(5.74350 - 0.603667i) q^{86} +(1.86099 - 3.22334i) q^{87} +(-1.31228 - 2.27293i) q^{88} +(-7.04668 - 9.69893i) q^{89} +(4.68799 + 5.20654i) q^{90} +(17.6671 + 5.29788i) q^{91} +4.12096 q^{92} +(5.05440 - 0.432653i) q^{93} -1.08857 q^{94} +(-6.55745 - 20.1818i) q^{95} +(-0.677092 + 0.609657i) q^{96} +(10.4221 + 14.3448i) q^{97} +(-16.6006 + 9.58437i) q^{98} +(4.93196 + 2.84747i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 288 q + 72 q^{4} + 32 q^{9}+O(q^{10}) $ 288 * q + 72 * q^4 + 32 * q^9	$ 288 q + 72 q^{4} + 32 q^{9} - 10 q^{13} - 12 q^{14} - 72 q^{16} + 10 q^{17} - 6 q^{22} - 48 q^{23} + 104 q^{25} + 12 q^{26} - 18 q^{27} + 36 q^{29} + 64 q^{30} - 28 q^{35} + 128 q^{36} - 70 q^{38} + 12 q^{39} - 6 q^{42} - 56 q^{43} - 58 q^{49} - 26 q^{51} + 10 q^{52} - 6 q^{53} + 72 q^{55} + 2 q^{56} - 140 q^{61} + 16 q^{62} + 72 q^{64} - 4 q^{65} + 40 q^{68} + 96 q^{69} - 28 q^{74} - 166 q^{75} - 68 q^{77} + 60 q^{78} - 80 q^{79} - 76 q^{81} + 24 q^{87} - 14 q^{88} + 114 q^{90} - 12 q^{91} + 8 q^{92} - 24 q^{94} + 100 q^{95}+O(q^{100}) $ 288 * q + 72 * q^4 + 32 * q^9 - 10 * q^13 - 12 * q^14 - 72 * q^16 + 10 * q^17 - 6 * q^22 - 48 * q^23 + 104 * q^25 + 12 * q^26 - 18 * q^27 + 36 * q^29 + 64 * q^30 - 28 * q^35 + 128 * q^36 - 70 * q^38 + 12 * q^39 - 6 * q^42 - 56 * q^43 - 58 * q^49 - 26 * q^51 + 10 * q^52 - 6 * q^53 + 72 * q^55 + 2 * q^56 - 140 * q^61 + 16 * q^62 + 72 * q^64 - 4 * q^65 + 40 * q^68 + 96 * q^69 - 28 * q^74 - 166 * q^75 - 68 * q^77 + 60 * q^78 - 80 * q^79 - 76 * q^81 + 24 * q^87 - 14 * q^88 + 114 * q^90 - 12 * q^91 + 8 * q^92 - 24 * q^94 + 100 * q^95

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/806\mathbb{Z}\right)^\times$.

$n$	$249$	$313$
$\chi(n)$	$-1$	$e\left(\frac{4}{15}\right)$

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 $

$2$	−0.951057	+	0.309017i	−0.672499	+	0.218508i
$2$	−0.951057	+	0.309017i	−0.672499	+	0.218508i
$3$	0.609657	+	0.677092i	0.351985	+	0.390919i	0.892972	−	0.450112i	$-0.148616\pi$
$3$	0.609657	+	0.677092i	0.351985	+	0.390919i	−0.540987	+	0.841031i	$0.681949\pi$
$4$	0.809017	−	0.587785i	0.404508	−	0.293893i
$5$	2.79623	−	1.61441i	1.25051	−	0.721984i	0.279302	−	0.960203i	$-0.409897\pi$
$5$	2.79623	−	1.61441i	1.25051	−	0.721984i	0.971211	+	0.238219i	$0.0765636\pi$
$6$	−0.789051	−	0.455559i	−0.322129	−	0.185981i
$7$	−5.08752	+	0.534719i	−1.92290	+	0.202105i	−0.988182	−	0.153285i	$-0.951015\pi$
$7$	−5.08752	+	0.534719i	−1.92290	+	0.202105i	−0.934718	+	0.355390i	$0.884348\pi$
$8$	−0.587785	+	0.809017i	−0.207813	+	0.286031i
$9$	0.226813	−	2.15798i	0.0756042	−	0.719326i
$10$	−2.16050	+	2.39948i	−0.683209	+	0.758781i
$11$	−1.06750	+	2.39765i	−0.321864	+	0.722919i	−0.999927	−	0.0120849i	$-0.996153\pi$
$11$	−1.06750	+	2.39765i	−0.321864	+	0.722919i	0.678063	+	0.735004i	$0.262820\pi$
$12$	0.891208	+	0.189432i	0.257269	+	0.0546843i
$13$	−3.32644	−	1.39097i	−0.922588	−	0.385786i
$13$	−3.32644	−	1.39097i	−0.922588	−	0.385786i
$14$	4.67328	−	2.08068i	1.24899	−	0.556084i
$15$	2.79784	+	0.909075i	0.722400	+	0.234722i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	5.90218	−	2.62782i	1.43149	−	0.637340i	0.462991	−	0.886363i	$-0.346776\pi$
$17$	5.90218	−	2.62782i	1.43149	−	0.637340i	0.968498	+	0.249023i	$0.0801095\pi$
$18$	0.451140	+	2.12245i	0.106335	+	0.500266i
$19$	1.36644	−	6.42857i	0.313482	−	1.47482i	−0.485912	−	0.874008i	$-0.661512\pi$
$19$	1.36644	−	6.42857i	0.313482	−	1.47482i	0.799394	−	0.600808i	$-0.205154\pi$
$20$	1.31328	−	2.94967i	0.293657	−	0.659566i
$21$	−3.46369	−	3.11872i	−0.755840	−	0.680561i
$22$	0.274341	−	2.61018i	0.0584897	−	0.556492i
$23$	3.33392	+	2.42224i	0.695171	+	0.505071i	0.878356	−	0.478007i	$-0.158641\pi$
$23$	3.33392	+	2.42224i	0.695171	+	0.505071i	−0.183185	+	0.983078i	$0.558641\pi$
$24$	−0.906126	+	0.0952377i	−0.184962	+	0.0194403i
$25$	2.71261	−	4.69839i	0.542523	−	0.939677i
$26$	3.59347	+	0.294967i	0.704737	+	0.0578477i
$27$	3.81076	−	2.76868i	0.733381	−	0.532832i
$28$	−3.80159	+	3.42296i	−0.718432	+	0.646879i
$29$	−1.26236	−	3.88514i	−0.234414	−	0.721452i	−0.997199	−	0.0747997i	$-0.976168\pi$
$29$	−1.26236	−	3.88514i	−0.234414	−	0.721452i	0.762784	−	0.646653i	$-0.223832\pi$
$30$	−2.94183			−0.537102
$31$	3.35910	−	4.44032i	0.603312	−	0.797505i
$31$	3.35910	−	4.44032i	0.603312	−	0.797505i
$32$			1.00000i			0.176777i
$33$	−2.27424	+	0.738946i	−0.395895	+	0.128634i
$34$	−4.80126	+	4.32308i	−0.823410	+	0.741402i
$35$	−13.3626	+	9.70852i	−2.25870	+	1.64104i
$36$	−1.08493	−	1.87916i	−0.180822	−	0.313193i
$37$	−4.81718	−	2.78120i	−0.791939	−	0.457226i	0.0487058	−	0.998813i	$-0.484490\pi$
$37$	−4.81718	−	2.78120i	−0.791939	−	0.457226i	−0.840645	+	0.541587i	$0.817824\pi$
$38$	0.686981	+	6.53619i	0.111443	+	1.06031i
$39$	−1.08617	−	3.10032i	−0.173926	−	0.496449i
$40$	−0.337503	+	3.21112i	−0.0533639	+	0.507723i
$41$	−1.91799	−	1.72697i	−0.299540	−	0.269707i	0.505631	−	0.862750i	$-0.331260\pi$
$41$	−1.91799	−	1.72697i	−0.299540	−	0.269707i	−0.805171	+	0.593043i	$0.797926\pi$
$42$	4.25791	+	1.89574i	0.657009	+	0.292519i
$43$	−5.64894	−	1.20072i	−0.861455	−	0.183108i	−0.244059	−	0.969760i	$-0.578479\pi$
$43$	−5.64894	−	1.20072i	−0.861455	−	0.183108i	−0.617396	+	0.786652i	$0.711812\pi$
$44$	0.545676	+	2.56720i	0.0822638	+	0.387021i
$45$	−2.84963	−	6.40038i	−0.424798	−	0.954112i
$46$	−3.91926	−	1.27345i	−0.577864	−	0.187759i
$47$	1.03530	+	0.336388i	0.151013	+	0.0490672i	0.383548	−	0.923521i	$-0.374702\pi$
$47$	1.03530	+	0.336388i	0.151013	+	0.0490672i	−0.232535	+	0.972588i	$0.574702\pi$
$48$	0.832347	−	0.370585i	0.120139	−	0.0534893i
$49$	18.7499	−	3.98540i	2.67855	−	0.569344i
$50$	−1.12797	+	5.30667i	−0.159519	+	0.750477i
$51$	5.37758	+	2.39425i	0.753012	+	0.335262i
$52$	−3.50874	+	0.829912i	−0.486574	+	0.115088i
$53$	0.402972	−	3.83402i	0.0553525	−	0.526643i	−0.931352	−	0.364120i	$-0.881370\pi$
$53$	0.402972	−	3.83402i	0.0553525	−	0.526643i	0.986705	−	0.162524i	$-0.0519634\pi$
$54$	−2.76868	+	3.81076i	−0.376769	+	0.518578i
$55$	0.885795	+	8.42778i	0.119441	+	1.13640i
$56$	2.55777	−	4.43019i	0.341796	−	0.592009i
$57$	5.18579	−	2.99402i	0.686875	−	0.396568i
$58$	2.40115	+	3.30490i	0.315286	+	0.433954i
$59$	−0.600007	+	0.540249i	−0.0781143	+	0.0703344i	−0.707263	−	0.706951i	$-0.750070\pi$
$59$	−0.600007	+	0.540249i	−0.0781143	+	0.0703344i	0.629149	+	0.777285i	$0.283404\pi$
$60$	2.79784	−	0.909075i	0.361200	−	0.117361i
$61$	−10.5303			−1.34827			−0.674133	−	0.738610i	$-0.735482\pi$
$61$	−10.5303			−1.34827			−0.674133	+	0.738610i	$0.735482\pi$
$62$	−1.82256	+	5.26102i	−0.231465	+	0.668150i
$63$			11.1000i			1.39847i
$64$	−0.309017	−	0.951057i	−0.0386271	−	0.118882i
$65$	−11.5471	+	1.48074i	−1.43224	+	0.183663i
$66$	1.93459	−	1.40556i	0.238131	−	0.173012i
$67$	−3.33776	+	1.92706i	−0.407772	+	0.235427i	−0.689832	−	0.723969i	$-0.742316\pi$
$67$	−3.33776	+	1.92706i	−0.407772	+	0.235427i	0.282060	+	0.959397i	$0.408982\pi$
$68$	3.23037	−	5.59516i	0.391740	−	0.678513i
$69$	0.392471	+	3.73411i	0.0472479	+	0.449534i
$70$	9.70852	−	13.3626i	1.16039	−	1.59714i
$71$	10.9531	+	1.15121i	1.29989	+	0.136624i	0.729063	−	0.684447i	$-0.239956\pi$
$71$	10.9531	+	1.15121i	1.29989	+	0.136624i	0.570826	+	0.821071i	$0.306623\pi$
$72$	1.61252	+	1.45192i	0.190038	+	0.171111i
$73$	0.345680	−	0.776409i	0.0404587	−	0.0908718i	−0.892185	−	0.451669i	$-0.850829\pi$
$73$	0.345680	−	0.776409i	0.0404587	−	0.0908718i	0.932644	+	0.360797i	$0.117495\pi$
$74$	5.44084	+	1.15649i	0.632485	+	0.134439i
$75$	4.83500	−	1.02771i	0.558298	−	0.118670i
$76$	−2.67315	−	6.00399i	−0.306631	−	0.688705i
$77$	4.14887	−	12.7689i	0.472807	−	1.45515i
$78$	1.99106	+	2.61294i	0.225443	+	0.295857i
$79$	0.112930	−	0.0502798i	0.0127057	−	0.00565692i	−0.400374	−	0.916352i	$-0.631120\pi$
$79$	0.112930	−	0.0502798i	0.0127057	−	0.00565692i	0.413080	+	0.910695i	$0.364453\pi$
$80$	−0.671308	−	3.15825i	−0.0750545	−	0.353104i
$81$	−2.16944	−	0.461129i	−0.241049	−	0.0512365i
$82$	2.35778	+	1.04975i	0.260373	+	0.115926i
$83$	3.68844	+	3.32109i	0.404859	+	0.364537i	0.846257	−	0.532775i	$-0.178851\pi$
$83$	3.68844	+	3.32109i	0.404859	+	0.364537i	−0.441398	+	0.897311i	$0.645517\pi$
$84$	−4.63533	−	0.487192i	−0.505755	−	0.0531570i
$85$	12.2615	−	16.8765i	1.32995	−	1.83051i
$86$	5.74350	−	0.603667i	0.619338	−	0.0650951i
$87$	1.86099	−	3.22334i	0.199519	−	0.345578i
$88$	−1.31228	−	2.27293i	−0.139889	−	0.242295i
$89$	−7.04668	−	9.69893i	−0.746947	−	1.02808i	−0.998189	−	0.0601598i	$-0.980839\pi$
$89$	−7.04668	−	9.69893i	−0.746947	−	1.02808i	0.251242	−	0.967924i	$-0.419161\pi$
$90$	4.68799	+	5.20654i	0.494157	+	0.548817i
$91$	17.6671	+	5.29788i	1.85201	+	0.555369i
$92$	4.12096			0.429639
$93$	5.05440	−	0.432653i	0.524117	−	0.0448640i
$94$	−1.08857			−0.112278
$95$	−6.55745	−	20.1818i	−0.672781	−	2.07061i
$96$	−0.677092	+	0.609657i	−0.0691054	+	0.0622228i
$97$	10.4221	+	14.3448i	1.05820	+	1.45649i	0.881476	+	0.472229i	$0.156550\pi$
$97$	10.4221	+	14.3448i	1.05820	+	1.45649i	0.176725	+	0.984260i	$0.443450\pi$
$98$	−16.6006	+	9.58437i	−1.67692	+	0.968168i
$99$	4.93196	+	2.84747i	0.495680	+	0.286181i
$100$	−0.567091	−	5.39551i	−0.0567091	−	0.539551i
$101$	−15.1752	−	11.0254i	−1.50999	−	1.09707i	−0.966182	−	0.257862i	$-0.916982\pi$
$101$	−15.1752	−	11.0254i	−1.50999	−	1.09707i	−0.543808	−	0.839210i	$-0.683018\pi$
$102$	−5.85425	−	0.615306i	−0.579657	−	0.0609244i
$103$	−8.22644	+	9.13639i	−0.810575	+	0.900235i	−0.996607	−	0.0823085i	$-0.973771\pi$
$103$	−8.22644	+	9.13639i	−0.810575	+	0.900235i	0.186031	+	0.982544i	$0.440437\pi$
$104$	3.08055	−	1.87355i	0.302073	−	0.183717i
$105$	−14.7202	−	3.12887i	−1.43654	−	0.305346i
$106$	0.801529	+	3.77090i	0.0778514	+	0.366262i
$107$	5.45165	−	2.42723i	0.527031	−	0.234649i	−0.125932	−	0.992039i	$-0.540192\pi$
$107$	5.45165	−	2.42723i	0.527031	−	0.234649i	0.652963	+	0.757389i	$0.273525\pi$
$108$	1.45558	−	4.47981i	0.140063	−	0.431070i
$109$	19.3174	+	6.27660i	1.85027	+	0.601189i	0.996790	+	0.0800620i	$0.0255118\pi$
$109$	19.3174	+	6.27660i	1.85027	+	0.601189i	0.853479	+	0.521127i	$0.174488\pi$
$110$	−3.44677	−	7.74157i	−0.328636	−	0.738129i
$111$	−1.05370	−	4.95725i	−0.100012	−	0.470521i
$112$	−1.06358	+	5.00375i	−0.100499	+	0.472810i
$113$	3.17778	+	1.41484i	0.298940	+	0.133097i	0.550726	−	0.834686i	$-0.314351\pi$
$113$	3.17778	+	1.41484i	0.298940	+	0.133097i	−0.251785	+	0.967783i	$0.581018\pi$
$114$	−4.00678	+	4.44998i	−0.375269	+	0.416779i
$115$	13.2329	+	1.39083i	1.23397	+	0.129696i
$116$	−3.30490	−	2.40115i	−0.306852	−	0.222941i
$117$	−3.75616	+	6.86289i	−0.347258	+	0.634475i
$118$	0.403695	−	0.699220i	0.0371631	−	0.0643684i
$119$	−28.6223	+	16.5251i	−2.62380	+	1.51485i
$120$	−2.37999	+	1.72916i	−0.217262	+	0.157850i
$121$	2.75127	+	3.05559i	0.250115	+	0.277781i
$122$	10.0149	−	3.25404i	0.906707	−	0.294607i
$123$		−	2.35151i		−	0.212029i
$124$	0.107611	−	5.56672i	0.00966378	−	0.499907i
$125$		−	1.37298i		−	0.122803i
$126$	−3.43010	−	10.5568i	−0.305577	−	0.940470i
$127$	−4.79138	−	5.32136i	−0.425166	−	0.472194i	0.492061	−	0.870561i	$-0.336244\pi$
$127$	−4.79138	−	5.32136i	−0.425166	−	0.472194i	−0.917226	+	0.398367i	$0.869577\pi$
$128$	0.587785	+	0.809017i	0.0519534	+	0.0715077i
$129$	−2.63092	−	4.55688i	−0.231639	−	0.401211i
$130$	10.5244	−	4.97652i	0.923048	−	0.436469i
$131$	−0.254048	−	2.41711i	−0.0221963	−	0.211184i	−0.999999	−	0.00165416i	$-0.999473\pi$
$131$	−0.254048	−	2.41711i	−0.0221963	−	0.211184i	0.977802	−	0.209529i	$-0.0671932\pi$
$132$	−1.40556	+	1.93459i	−0.122338	+	0.168384i
$133$	−3.51428	+	33.4361i	−0.304727	+	2.89928i
$134$	2.57891	−	2.86417i	0.222784	−	0.247426i
$135$	6.18600	−	13.8940i	0.532406	−	1.19580i
$136$	−1.34326	+	6.31956i	−0.115184	+	0.541898i
$137$	2.55230	+	12.0076i	0.218058	+	1.02588i	0.941894	+	0.335910i	$0.109044\pi$
$137$	2.55230	+	12.0076i	0.218058	+	1.02588i	−0.723836	+	0.689972i	$0.757623\pi$
$138$	−1.52716	−	3.43007i	−0.130001	−	0.291987i
$139$	−2.78203	+	8.56221i	−0.235969	+	0.726237i	0.761023	+	0.648725i	$0.224698\pi$
$139$	−2.78203	+	8.56221i	−0.235969	+	0.726237i	−0.996991	+	0.0775117i	$0.975302\pi$
$140$	−5.10407	+	15.7087i	−0.431373	+	1.32763i
$141$	0.403409	+	0.906072i	0.0339732	+	0.0763050i
$142$	−10.7727	+	2.28981i	−0.904027	+	0.192157i
$143$	6.88605	−	6.49078i	0.575841	−	0.542786i
$144$	−1.98227	−	0.882563i	−0.165189	−	0.0735470i
$145$	−9.80204	−	8.82580i	−0.814015	−	0.732943i
$146$	−0.0888372	+	0.845230i	−0.00735222	+	0.0699517i
$147$	14.1295	+	10.2657i	1.16538	+	0.846697i
$148$	−5.53192	+	0.581429i	−0.454721	+	0.0477931i
$149$	4.79979	+	2.77116i	0.393215	+	0.227023i	0.683552	−	0.729902i	$-0.260434\pi$
$149$	4.79979	+	2.77116i	0.393215	+	0.227023i	−0.290337	+	0.956924i	$0.593768\pi$
$150$	−4.28078	+	2.47151i	−0.349524	+	0.201798i
$151$	−13.2655	−	18.2583i	−1.07953	−	1.48584i	−0.860040	−	0.510226i	$-0.829562\pi$
$151$	−13.2655	−	18.2583i	−1.07953	−	1.48584i	−0.219487	−	0.975615i	$-0.570438\pi$
$152$	4.39765	+	4.88409i	0.356697	+	0.396152i
$153$	−4.33209	−	13.3328i	−0.350229	−	1.07789i
$154$			13.4260i			1.08190i
$155$	2.22434	−	17.8391i	0.178663	−	1.43287i
$156$	−2.70105	−	1.86978i	−0.216257	−	0.149702i
$157$	2.52263	+	7.76385i	0.201328	+	0.619623i	0.999844	+	0.0176500i	$0.00561847\pi$
$157$	2.52263	+	7.76385i	0.201328	+	0.619623i	−0.798517	+	0.601973i	$0.794382\pi$
$158$	−0.0918658	+	0.0827163i	−0.00730845	+	0.00658056i
$159$	2.84166	−	2.06459i	0.225358	−	0.163732i
$160$	1.61441	+	2.79623i	0.127630	+	0.221062i
$161$	−18.2566	−	10.5405i	−1.43882	−	0.830704i
$162$	2.20576	−	0.231834i	0.173301	−	0.0182146i
$163$	−3.78290	+	5.20671i	−0.296299	+	0.407821i	−0.931048	−	0.364898i	$-0.881104\pi$
$163$	−3.78290	+	5.20671i	−0.296299	+	0.407821i	0.634748	+	0.772719i	$0.281104\pi$
$164$	−2.56677	−	0.269779i	−0.200431	−	0.0210662i
$165$	−5.16635	+	5.73782i	−0.402200	+	0.446688i
$166$	−4.53419	−	2.01875i	−0.351921	−	0.156685i
$167$	−0.917467	+	4.31634i	−0.0709957	+	0.334009i	−0.999283	−	0.0378546i	$-0.987948\pi$
$167$	−0.917467	+	4.31634i	−0.0709957	+	0.334009i	0.928288	+	0.371863i	$0.121281\pi$
$168$	4.55901	−	0.969047i	0.351735	−	0.0747636i
$169$	9.13039	+	9.25397i	0.702338	+	0.711844i
$170$	−6.44625	+	19.8395i	−0.494405	+	1.52162i
$171$	−13.5628	−	4.40682i	−1.03717	−	0.336998i
$172$	−5.27585	+	2.34896i	−0.402280	+	0.179107i
$173$	−1.43093	+	0.304153i	−0.108791	+	0.0231243i	−0.261986	−	0.965072i	$-0.584377\pi$
$173$	−1.43093	+	0.304153i	−0.108791	+	0.0231243i	0.153194	+	0.988196i	$0.451044\pi$
$174$	−0.773845	+	3.64065i	−0.0586650	+	0.275997i
$175$	−11.2881	+	25.3536i	−0.853304	+	1.91655i
$176$	1.95043	+	1.75617i	0.147019	+	0.132376i
$177$	−0.731597	−	0.0768939i	−0.0549902	−	0.00577970i
$178$	9.69893	+	7.04668i	0.726965	+	0.528171i
$179$	2.02011	+	19.2200i	0.150990	+	1.43657i	0.763345	+	0.645991i	$0.223556\pi$
$179$	2.02011	+	19.2200i	0.150990	+	1.43657i	−0.612355	+	0.790583i	$0.709778\pi$
$180$	−6.06745	−	3.50304i	−0.452241	−	0.261101i
$181$	7.19178	+	12.4565i	0.534561	+	0.925886i	0.999184	+	0.0403782i	$0.0128563\pi$
$181$	7.19178	+	12.4565i	0.534561	+	0.925886i	−0.464624	+	0.885508i	$0.653810\pi$
$182$	−18.4395	+	0.420849i	−1.36683	+	0.0311954i
$183$	−6.41986	−	7.12998i	−0.474570	−	0.527063i
$184$	−3.91926	+	1.27345i	−0.288932	+	0.0938797i
$185$	−17.9599			−1.32044
$186$	−4.67333	+	1.97337i	−0.342665	+	0.144695i
$187$			16.9566i			1.23999i
$188$	1.03530	−	0.336388i	0.0755067	−	0.0245336i
$189$	−17.9068	+	16.1234i	−1.30253	+	1.17280i
$190$	12.4730	+	17.1676i	0.904888	+	1.24547i
$191$	3.71734	+	6.43863i	0.268978	+	0.465883i	0.968598	−	0.248632i	$-0.0799809\pi$
$191$	3.71734	+	6.43863i	0.268978	+	0.465883i	−0.699621	+	0.714515i	$0.746648\pi$
$192$	0.455559	−	0.789051i	0.0328771	−	0.0569449i
$193$	25.7280	−	2.70412i	1.85194	−	0.194647i	0.887835	−	0.460162i	$-0.152209\pi$
$193$	25.7280	−	2.70412i	1.85194	−	0.194647i	0.964107	+	0.265515i	$0.0855420\pi$
$194$	−14.3448	−	10.4221i	−1.02989	−	0.748261i
$195$	−8.04236	−	6.91570i	−0.575925	−	0.495244i
$196$	12.8264	−	14.2451i	0.916171	−	1.01751i
$197$	1.18995	−	2.67268i	0.0847807	−	0.190421i	−0.866180	−	0.499732i	$-0.833432\pi$
$197$	1.18995	−	2.67268i	0.0847807	−	0.190421i	0.950961	+	0.309311i	$0.100099\pi$
$198$	−5.57048	−	1.18404i	−0.395877	−	0.0841463i
$199$	−2.70072	+	0.574056i	−0.191449	+	0.0406938i	−0.302638	−	0.953106i	$-0.597867\pi$
$199$	−2.70072	+	0.574056i	−0.191449	+	0.0406938i	0.111189	+	0.993799i	$0.464534\pi$
$200$	2.20664	+	4.95619i	0.156033	+	0.350456i
$201$	−3.33968	−	1.08513i	−0.235563	−	0.0765391i
$202$	17.8395	+	5.79641i	1.25518	+	0.407834i
$203$	8.49973	+	19.0907i	0.596564	+	1.33990i
$204$	5.75786	−	1.22387i	0.403131	−	0.0856881i
$205$	−8.15117	−	1.73258i	−0.569302	−	0.121009i
$206$	5.00051	−	11.2313i	0.348402	−	0.782524i
$207$	5.98331	−	6.64514i	0.415869	−	0.461869i
$208$	−2.35082	+	2.73380i	−0.163000	+	0.189555i
$209$	13.9548	+	10.1388i	0.965274	+	0.701313i
$210$	14.9666	−	1.57305i	1.03279	−	0.108551i
$211$	10.7125	−	18.5546i	0.737479	−	1.27735i	−0.216148	−	0.976361i	$-0.569349\pi$
$211$	10.7125	−	18.5546i	0.737479	−	1.27735i	0.953627	−	0.300991i	$-0.0973173\pi$
$212$	−1.92757	−	3.33865i	−0.132386	−	0.229299i
$213$	5.89813	+	8.11808i	0.404133	+	0.556242i
$214$	−4.43478	+	3.99309i	−0.303155	+	0.272962i
$215$	−17.7342	+	5.76219i	−1.20946	+	0.392978i
$216$			4.71035i			0.320499i
$217$	−14.7151	+	24.3864i	−0.998929	+	1.65546i
$218$	−20.3115			−1.37567
$219$	0.736447	−	0.239286i	0.0497644	−	0.0161694i
$220$	5.67035	+	6.29756i	0.382295	+	0.424581i
$221$	−23.2885	+	0.531517i	−1.56655	+	0.0357537i
$222$	2.53400	+	4.38901i	0.170071	+	0.294571i
$223$	−6.68678	−	3.86061i	−0.447780	−	0.258526i	0.259112	−	0.965847i	$-0.416570\pi$
$223$	−6.68678	−	3.86061i	−0.447780	−	0.258526i	−0.706892	+	0.707321i	$0.749903\pi$
$224$	−0.534719	−	5.08752i	−0.0357274	−	0.339924i
$225$	−9.52376	−	6.91941i	−0.634917	−	0.461294i
$226$	−3.45945	−	0.363603i	−0.230119	−	0.0241865i
$227$	−2.81677	−	2.53623i	−0.186955	−	0.168335i	0.570338	−	0.821410i	$-0.306812\pi$
$227$	−2.81677	−	2.53623i	−0.186955	−	0.168335i	−0.757294	+	0.653075i	$0.773479\pi$
$228$	2.43555	−	5.47035i	0.161299	−	0.362282i
$229$	4.20536	−	19.7846i	0.277898	−	1.30741i	−0.588681	−	0.808366i	$-0.700353\pi$
$229$	4.20536	−	19.7846i	0.277898	−	1.30741i	0.866579	−	0.499041i	$-0.166314\pi$
$230$	−13.0150	+	2.76643i	−0.858186	+	0.182413i
$231$	11.1751	−	4.97548i	0.735269	−	0.327363i
$232$	3.88514	+	1.26236i	0.255072	+	0.0828779i
$233$	−3.17530	+	9.77257i	−0.208021	+	0.640222i	0.791555	+	0.611098i	$0.209272\pi$
$233$	−3.17530	+	9.77257i	−0.208021	+	0.640222i	−0.999576	+	0.0291243i	$0.990728\pi$
$234$	1.45157	−	7.68772i	0.0948924	−	0.502562i
$235$	3.43800	−	0.730769i	0.224270	−	0.0476701i
$236$	−0.167866	+	0.789746i	−0.0109271	+	0.0514081i
$237$	0.102893	+	0.0458108i	0.00668360	+	0.00297573i
$238$	22.1149	−	24.5611i	1.43349	−	1.59206i
$239$	15.0271	+	1.57941i	0.972020	+	0.102163i	0.577207	−	0.816598i	$-0.304143\pi$
$239$	15.0271	+	1.57941i	0.972020	+	0.102163i	0.394813	+	0.918762i	$0.370809\pi$
$240$	1.72916	−	2.37999i	0.111617	−	0.153628i
$241$	−5.86851	+	0.616806i	−0.378024	+	0.0397319i	−0.291635	−	0.956530i	$-0.594199\pi$
$241$	−5.86851	+	0.616806i	−0.378024	+	0.0397319i	−0.0863888	+	0.996261i	$0.527533\pi$
$242$	−3.56084	−	2.05585i	−0.228899	−	0.132155i
$243$	−8.07592	−	13.9879i	−0.518070	−	0.897324i
$244$	−8.51918	+	6.18955i	−0.545385	+	0.396245i
$245$	45.9949	−	41.4140i	2.93851	−	2.64584i
$246$	0.726657	+	2.23642i	0.0463300	+	0.142589i
$247$	−13.4873	+	19.4836i	−0.858178	+	1.23971i
$248$	1.61787	+	5.32752i	0.102735	+	0.338298i
$249$			4.52214i			0.286579i
$250$	0.424275	+	1.30578i	0.0268335	+	0.0825850i
$251$	−13.2065	−	14.6673i	−0.833585	−	0.925789i	0.164579	−	0.986364i	$-0.447373\pi$
$251$	−13.2065	−	14.6673i	−0.833585	−	0.925789i	−0.998164	+	0.0605744i	$0.980707\pi$
$252$	6.52443	+	8.98011i	0.411001	+	0.565694i
$253$	−9.36666	+	5.40784i	−0.588877	+	0.339988i
$254$	6.20126	+	3.58030i	0.389102	+	0.224648i
$255$	18.9023	−	1.98671i	1.18371	−	0.124412i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	0.635889	−	6.05008i	0.0396657	−	0.377394i	−0.956624	−	0.291327i	$-0.905903\pi$
$257$	0.635889	−	6.05008i	0.0396657	−	0.377394i	0.996289	−	0.0860671i	$-0.0274299\pi$
$258$	3.91030	+	3.52085i	0.243445	+	0.219199i
$259$	25.9946	+	11.5735i	1.61523	+	0.719145i
$260$	−8.47144	+	7.98516i	−0.525376	+	0.495218i
$261$	−8.67037	+	1.84294i	−0.536682	+	0.114075i
$262$	0.988541	+	2.22030i	0.0610723	+	0.137171i
$263$	2.66686	−	8.20774i	0.164445	−	0.506111i	−0.834550	−	0.550933i	$-0.814272\pi$
$263$	2.66686	−	8.20774i	0.164445	−	0.506111i	0.998995	+	0.0448219i	$0.0142720\pi$
$264$	0.738946	−	2.27424i	0.0454790	−	0.139970i
$265$	−5.06286	−	11.3714i	−0.311009	−	0.698538i
$266$	−6.99005	−	32.8856i	−0.428588	−	2.01635i
$267$	2.27101	−	10.6843i	0.138984	−	0.653867i
$268$	−1.56761	+	3.52091i	−0.0957570	+	0.215074i
$269$	−0.822266	+	0.913219i	−0.0501345	+	0.0556800i	−0.767690	−	0.640821i	$-0.778594\pi$
$269$	−0.822266	+	0.913219i	−0.0501345	+	0.0556800i	0.717556	+	0.696501i	$0.245261\pi$
$270$	−1.58976	+	15.1255i	−0.0967496	+	0.920511i
$271$	−7.09917	+	9.77117i	−0.431244	+	0.593556i	−0.968238	−	0.250030i	$-0.919560\pi$
$271$	−7.09917	+	9.77117i	−0.431244	+	0.593556i	0.536994	+	0.843586i	$0.319560\pi$
$272$	−0.675331	−	6.42535i	−0.0409480	−	0.389594i
$273$	7.18371	+	15.1921i	0.434778	+	0.919470i
$274$	−6.13795	−	10.6312i	−0.370807	−	0.642257i
$275$	8.36937	+	11.5194i	0.504692	+	0.694649i
$276$	2.51237	+	2.79027i	0.151227	+	0.167954i
$277$	8.69143	+	26.7495i	0.522217	+	1.60722i	0.769754	+	0.638341i	$0.220379\pi$
$277$	8.69143	+	26.7495i	0.522217	+	1.60722i	−0.247536	+	0.968879i	$0.579621\pi$
$278$		−	9.00284i		−	0.539954i
$279$	−8.82023	−	8.25598i	−0.528053	−	0.494273i
$280$		−	16.5171i		−	0.987086i
$281$	13.5487	−	4.40225i	0.808250	−	0.262616i	0.124393	−	0.992233i	$-0.460301\pi$
$281$	13.5487	−	4.40225i	0.808250	−	0.262616i	0.683856	+	0.729617i	$0.260301\pi$
$282$	−0.663657	−	0.737065i	−0.0395202	−	0.0438916i
$283$	6.22570	−	4.52323i	0.370079	−	0.268878i	−0.387164	−	0.922011i	$-0.626545\pi$
$283$	6.22570	−	4.52323i	0.370079	−	0.268878i	0.757244	+	0.653132i	$0.226545\pi$
$284$	9.53788	−	5.50670i	0.565969	−	0.326762i
$285$	9.66713	−	16.7440i	0.572631	−	0.991826i
$286$	−4.54326	+	8.30100i	−0.268649	+	0.490848i
$287$	10.6812	+	7.76038i	0.630494	+	0.458081i
$288$	2.15798	+	0.226813i	0.127160	+	0.0133651i
$289$	16.5551	−	18.3863i	0.973827	−	1.08154i
$290$	12.0496	+	5.36484i	0.707578	+	0.315034i
$291$	−3.35884	+	15.8021i	−0.196898	+	0.926334i
$292$	−0.176701	−	0.831314i	−0.0103407	−	0.0486489i
$293$	5.01538	+	11.2647i	0.293002	+	0.658092i	0.998730	−	0.0503904i	$-0.0160466\pi$
$293$	5.01538	+	11.2647i	0.293002	+	0.658092i	−0.705728	+	0.708483i	$0.749380\pi$
$294$	−16.6102	−	5.39697i	−0.968725	−	0.314758i
$295$	−0.805579	+	2.47932i	−0.0469026	+	0.144351i
$296$	5.08150	−	2.26243i	0.295356	−	0.131501i
$297$	2.57033	+	12.0924i	0.149146	+	0.701675i
$298$	−5.42121	−	1.15231i	−0.314042	−	0.0667518i
$299$	−7.72083	−	12.6948i	−0.446507	−	0.734160i
$300$	3.30753	−	3.67338i	0.190960	−	0.212083i
$301$	29.3811	+	3.08808i	1.69350	+	0.177994i
$302$	18.2583	+	13.2655i	1.05065	+	0.763341i
$303$	−1.78643	−	16.9967i	−0.102628	−	0.976437i
$304$	−5.69168	−	3.28610i	−0.326440	−	0.188470i
$305$	−29.4451	+	17.0002i	−1.68602	+	0.973427i
$306$	8.24012	+	11.3416i	0.471056	+	0.648353i
$307$	3.81774	−	3.43750i	0.217890	−	0.196189i	−0.552956	−	0.833210i	$-0.686500\pi$
$307$	3.81774	−	3.43750i	0.217890	−	0.196189i	0.770846	+	0.637021i	$0.219834\pi$
$308$	−4.14887	−	12.7689i	−0.236404	−	0.727576i
$309$	−11.2015			−0.637230
$310$	3.39712	+	17.6534i	0.192944	+	1.00264i
$311$	−11.4901			−0.651541			−0.325771	−	0.945449i	$-0.605624\pi$
$311$	−11.4901			−0.651541			−0.325771	+	0.945449i	$0.605624\pi$
$312$	3.14665	+	0.943594i	0.178144	+	0.0534205i
$313$	−4.62373	−	5.13517i	−0.261349	−	0.290257i	0.598162	−	0.801375i	$-0.295898\pi$
$313$	−4.62373	−	5.13517i	−0.261349	−	0.290257i	−0.859510	+	0.511118i	$0.829231\pi$
$314$	−4.79832	−	6.60433i	−0.270785	−	0.372704i
$315$	17.9200	+	31.0383i	1.00967	+	1.74881i
$316$	0.0618088	−	0.107056i	0.00347702	−	0.00602237i
$317$	−28.3398	+	2.97863i	−1.59172	+	0.167297i	−0.858544	−	0.512740i	$-0.828630\pi$
$317$	−28.3398	+	2.97863i	−1.59172	+	0.167297i	−0.733178	+	0.680037i	$0.761964\pi$
$318$	−2.06459	+	2.84166i	−0.115776	+	0.159352i
$319$	10.6628	+	1.12070i	0.597001	+	0.0627474i
$320$	−2.39948	−	2.16050i	−0.134135	−	0.120775i
$321$	4.96710	+	2.21149i	0.277236	+	0.123434i
$322$	20.6202	+	4.38297i	1.14912	+	0.244253i
$323$	−8.82818	−	41.5333i	−0.491213	−	2.31098i
$324$	−2.02616	+	0.902104i	−0.112564	+	0.0501169i
$325$	−15.5587	+	11.8557i	−0.863040	+	0.657637i
$326$	1.98879	−	6.12086i	0.110149	−	0.339003i
$327$	7.52713	+	16.9062i	0.416251	+	0.934916i
$328$	2.52451	−	0.536601i	0.139393	−	0.0296288i
$329$	−5.44696	−	1.15779i	−0.300300	−	0.0638308i
$330$	3.14041	−	7.05348i	0.172874	−	0.388281i
$331$	−13.4930	−	12.1492i	−0.741643	−	0.667779i	0.209052	−	0.977904i	$-0.432962\pi$
$331$	−13.4930	−	12.1492i	−0.741643	−	0.667779i	−0.950696	+	0.310126i	$0.899629\pi$
$332$	4.93610	+	0.518805i	0.270904	+	0.0284731i
$333$	−7.09436	+	9.76455i	−0.388769	+	0.535094i
$334$	−0.461260	−	4.38860i	−0.0252390	−	0.240133i
$335$	−6.22211	+	10.7770i	−0.339950	+	0.588811i
$336$	−4.03642	+	2.33043i	−0.220205	+	0.127135i
$337$	14.5968	−	10.6052i	0.795140	−	0.577703i	−0.114344	−	0.993441i	$-0.536477\pi$
$337$	14.5968	−	10.6052i	0.795140	−	0.577703i	0.909484	+	0.415738i	$0.136477\pi$
$338$	−11.5432	−	5.97960i	−0.627865	−	0.325247i
$339$	0.979377	+	3.01421i	0.0531925	+	0.163710i
$340$		−	20.8605i		−	1.13132i
$341$	7.06050	+	12.7940i	0.382347	+	0.692834i
$342$	14.2608			0.771134
$343$	−59.2029	+	19.2362i	−3.19666	+	1.03866i
$344$	4.29177	−	3.86432i	0.231397	−	0.208350i
$345$	7.12581	+	9.80783i	0.383640	+	0.528036i
$346$	1.26690	−	0.731447i	0.0681092	−	0.0393228i
$347$	−12.0934	+	20.9463i	−0.649206	+	1.12446i	0.334107	+	0.942535i	$0.391565\pi$
$347$	−12.0934	+	20.9463i	−0.649206	+	1.12446i	−0.983313	+	0.181922i	$0.941768\pi$
$348$	−0.389054	−	3.70160i	−0.0208555	−	0.198426i
$349$	−9.13999	+	12.5801i	−0.489252	+	0.673398i	−0.980250	−	0.197763i	$-0.936632\pi$
$349$	−9.13999	+	12.5801i	−0.489252	+	0.673398i	0.490998	+	0.871161i	$0.336632\pi$
$350$	2.90097	−	27.6009i	0.155064	−	1.47533i
$351$	−16.5274	+	3.90918i	−0.882168	+	0.208657i
$352$	−2.39765	−	1.06750i	−0.127795	−	0.0568981i
$353$	6.56977	−	30.9083i	0.349673	−	1.64508i	−0.354500	−	0.935056i	$-0.615349\pi$
$353$	6.56977	−	30.9083i	0.349673	−	1.64508i	0.704174	−	0.710028i	$-0.251318\pi$
$354$	0.719552	−	0.152945i	0.0382437	−	0.00812896i
$355$	32.4858	−	14.4636i	1.72417	−	0.767650i
$356$	−11.4018	−	3.70466i	−0.604293	−	0.196347i
$357$	−28.6388	−	9.30530i	−1.51572	−	0.492489i
$358$	−7.86056	−	17.6551i	−0.415443	−	0.933101i
$359$	−0.423391	−	1.99190i	−0.0223457	−	0.105128i	0.965561	−	0.260175i	$-0.0837804\pi$
$359$	−0.423391	−	1.99190i	−0.0223457	−	0.105128i	−0.987907	+	0.155047i	$0.950447\pi$
$360$	6.85299	+	1.45665i	0.361184	+	0.0767720i
$361$	−22.1020	−	9.84046i	−1.16326	−	0.517919i
$362$	−10.6891	−	9.62448i	−0.561805	−	0.505851i
$363$	−0.391589	+	3.72572i	−0.0205531	+	0.195550i
$364$	17.4070	−	6.09838i	0.912374	−	0.319642i
$365$	−0.286839	−	2.72909i	−0.0150138	−	0.142847i
$366$	8.30894	+	4.79717i	0.434315	+	0.250752i
$367$	−1.65580	−	2.86793i	−0.0864320	−	0.149705i	0.819568	−	0.572981i	$-0.194213\pi$
$367$	−1.65580	−	2.86793i	−0.0864320	−	0.149705i	−0.906001	+	0.423277i	$0.860880\pi$
$368$	3.33392	−	2.42224i	0.173793	−	0.126268i
$369$	−4.16178	+	3.74728i	−0.216654	+	0.195076i
$370$	17.0809	−	5.54992i	0.887994	−	0.288527i
$371$			19.7211i			1.02387i
$372$	3.83479	−	3.32093i	0.198825	−	0.172182i
$373$	12.4006			0.642079			0.321040	−	0.947066i	$-0.395968\pi$
$373$	12.4006			0.642079			0.321040	+	0.947066i	$0.395968\pi$
$374$	−5.23987	−	16.1267i	−0.270947	−	0.833890i
$375$	0.929635	−	0.837047i	0.0480062	−	0.0432249i
$376$	−0.880675	+	0.639848i	−0.0454174	+	0.0329976i
$377$	−1.20496	+	14.6796i	−0.0620587	+	0.756037i
$378$	12.0480	−	20.8678i	0.619682	−	1.07332i
$379$	31.5146	−	3.31231i	1.61879	−	0.170142i	0.748659	−	0.662955i	$-0.230698\pi$
$379$	31.5146	−	3.31231i	1.61879	−	0.170142i	0.870135	+	0.492813i	$0.164031\pi$
$380$	−17.1676	−	12.4730i	−0.880681	−	0.639852i
$381$	0.681959	−	6.48841i	0.0349378	−	0.332411i
$382$	−5.52505	−	4.97478i	−0.282686	−	0.254532i
$383$	−10.5804	+	23.7640i	−0.540634	+	1.21428i	0.412284	+	0.911055i	$0.364731\pi$
$383$	−10.5804	+	23.7640i	−0.540634	+	1.21428i	−0.952918	+	0.303228i	$0.901935\pi$
$384$	−0.189432	+	0.891208i	−0.00966691	+	0.0454792i
$385$	−9.01299	−	42.4028i	−0.459345	−	2.16105i
$386$	−23.6332	+	10.5222i	−1.20290	+	0.535564i
$387$	−3.87238	+	11.9180i	−0.196844	+	0.605824i
$388$	16.8633	+	5.47921i	0.856103	+	0.278165i
$389$	29.3135	−	13.0512i	1.48626	−	0.661723i	0.506558	−	0.862206i	$-0.330918\pi$
$389$	29.3135	−	13.0512i	1.48626	−	0.661723i	0.979697	+	0.200482i	$0.0642509\pi$
$390$	9.78581	+	4.09200i	0.495524	+	0.207206i
$391$	26.0426	+	5.53553i	1.31703	+	0.279944i
$392$	−7.79663	+	17.5115i	−0.393789	+	0.884465i
$393$	1.48172	−	1.64562i	0.0747430	−	0.0830105i
$394$	−0.305810	+	2.90959i	−0.0154065	+	0.146583i
$395$	0.234607	−	0.322909i	0.0118044	−	0.0162473i
$396$	5.66374	−	0.595283i	0.284613	−	0.0299141i
$397$	−17.1833	−	9.92079i	−0.862405	−	0.497910i	0.00241171	−	0.999997i	$-0.499232\pi$
$397$	−17.1833	−	9.92079i	−0.862405	−	0.497910i	−0.864817	+	0.502087i	$0.832566\pi$
$398$	2.39115	−	1.38053i	0.119857	−	0.0691996i
$399$	−24.7818	+	18.0051i	−1.24064	+	0.901381i
$400$	−3.63019	−	4.03173i	−0.181509	−	0.201587i
$401$	5.01046	−	1.62800i	0.250211	−	0.0812983i	−0.181226	−	0.983441i	$-0.558007\pi$
$401$	5.01046	−	1.62800i	0.250211	−	0.0812983i	0.431437	+	0.902143i	$0.358007\pi$
$402$	3.51155			0.175140
$403$	−17.3502	+	10.0981i	−0.864275	+	0.503020i
$404$	−18.7576			−0.933225
$405$	−6.81071	+	2.21293i	−0.338427	+	0.109962i
$406$	−13.9831	−	15.5298i	−0.693968	−	0.770730i
$407$	11.8107	−	8.58097i	0.585434	−	0.425343i
$408$	−5.09785	+	2.94325i	−0.252381	+	0.145712i
$409$	7.61370	+	4.39577i	0.376473	+	0.217357i	0.676283	−	0.736642i	$-0.263590\pi$
$409$	7.61370	+	4.39577i	0.376473	+	0.217357i	−0.299810	+	0.953999i	$0.596923\pi$
$410$	8.28762	−	0.871064i	0.409296	−	0.0430188i
$411$	−6.57426	+	9.04869i	−0.324284	+	0.446339i
$412$	−1.28510	+	12.2269i	−0.0633122	+	0.602375i
$413$	2.76366	−	3.06936i	0.135991	−	0.151033i
$414$	−3.63701	+	8.16885i	−0.178749	+	0.401477i
$415$	15.6753	+	3.33189i	0.769472	+	0.163556i
$416$	1.39097	−	3.32644i	0.0681980	−	0.163092i
$417$	−7.49349	+	3.33632i	−0.366958	+	0.163380i
$418$	−16.4049	−	5.33026i	−0.802388	−	0.260712i
$419$	1.57374	−	4.84348i	0.0768823	−	0.236619i	−0.905228	−	0.424926i	$-0.860300\pi$
$419$	1.57374	−	4.84348i	0.0768823	−	0.236619i	0.982110	+	0.188307i	$0.0603000\pi$
$420$	−13.7480	+	6.12099i	−0.670833	+	0.298674i
$421$	4.79094	+	22.5396i	0.233496	+	1.09851i	0.926125	+	0.377218i	$0.123119\pi$
$421$	4.79094	+	22.5396i	0.233496	+	1.09851i	−0.692629	+	0.721294i	$0.743547\pi$
$422$	−4.45451	+	20.9568i	−0.216842	+	1.02016i
$423$	0.960736	−	2.15785i	0.0467126	−	0.104918i
$424$	2.86493	+	2.57959i	0.139133	+	0.125276i
$425$	3.66383	−	34.8590i	0.177722	−	1.69091i
$426$	−8.11808	−	5.89813i	−0.393322	−	0.285765i
$427$	53.5730	−	5.63075i	2.59258	−	0.272491i
$428$	2.98379	−	5.16808i	0.144227	−	0.249808i
$429$	8.59298	+	0.705348i	0.414873	+	0.0340545i
$430$	15.0856	−	10.9603i	0.727493	−	0.528555i
$431$	12.0218	−	10.8244i	0.579068	−	0.521395i	−0.326723	−	0.945120i	$-0.605944\pi$
$431$	12.0218	−	10.8244i	0.579068	−	0.521395i	0.905791	+	0.423725i	$0.139278\pi$
$432$	−1.45558	−	4.47981i	−0.0700316	−	0.215535i
$433$	7.25133			0.348477			0.174238	−	0.984703i	$-0.444254\pi$
$433$	7.25133			0.348477			0.174238	+	0.984703i	$0.444254\pi$
$434$	6.45912	−	27.7401i	0.310048	−	1.33157i
$435$		−	12.0176i		−	0.576200i
$436$	19.3174	−	6.27660i	0.925135	−	0.300594i
$437$	20.1271	−	18.1225i	0.962811	−	0.866919i
$438$	−0.626459	+	0.455149i	−0.0299334	+	0.0217479i
$439$	8.79790	+	15.2384i	0.419901	+	0.727290i	0.995929	−	0.0901401i	$-0.0287315\pi$
$439$	8.79790	+	15.2384i	0.419901	+	0.727290i	−0.576028	+	0.817430i	$0.695398\pi$
$440$	−7.33887	−	4.23710i	−0.349867	−	0.201996i
$441$	−4.34771	−	41.3657i	−0.207034	−	1.96980i
$442$	21.9844	−	7.70203i	1.04569	−	0.366348i
$443$	3.77414	−	35.9085i	0.179315	−	1.70607i	−0.421624	−	0.906771i	$-0.638540\pi$
$443$	3.77414	−	35.9085i	0.179315	−	1.70607i	0.600939	−	0.799295i	$-0.294794\pi$
$444$	−3.76626	−	3.39115i	−0.178739	−	0.160937i
$445$	−35.3622	−	15.7443i	−1.67633	−	0.746349i
$446$	7.55250	+	1.60533i	0.357621	+	0.0760148i
$447$	1.04989	+	4.93936i	0.0496583	+	0.233624i
$448$	2.08068	+	4.67328i	0.0983028	+	0.220792i
$449$	5.29749	+	1.72126i	0.250004	+	0.0812313i	0.431338	−	0.902190i	$-0.358042\pi$
$449$	5.29749	+	1.72126i	0.250004	+	0.0812313i	−0.181334	+	0.983422i	$0.558042\pi$
$450$	11.1958	+	3.63775i	0.527777	+	0.171485i
$451$	6.18812	−	2.75513i	0.291387	−	0.129734i
$452$	3.40250	−	0.723223i	0.160040	−	0.0340175i
$453$	4.27520	−	20.1132i	0.200867	−	0.945003i
$454$	3.46264	+	1.54167i	0.162510	+	0.0723540i
$455$	57.9542	−	13.7078i	2.71694	−	0.642629i
$456$	−0.625920	+	5.95524i	−0.0293114	+	0.278879i
$457$	2.01326	−	2.77101i	0.0941761	−	0.129622i	−0.759329	−	0.650707i	$-0.774473\pi$
$457$	2.01326	−	2.77101i	0.0941761	−	0.129622i	0.853505	+	0.521085i	$0.174473\pi$
$458$	2.11426	+	20.1158i	0.0987929	+	0.939952i
$459$	15.2162	−	26.3552i	0.710231	−	1.23016i
$460$	11.5232	−	6.65290i	0.537270	−	0.310193i
$461$	9.04939	+	12.4554i	0.421472	+	0.580107i	0.965970	−	0.258656i	$-0.0832795\pi$
$461$	9.04939	+	12.4554i	0.421472	+	0.580107i	−0.544497	+	0.838763i	$0.683280\pi$
$462$	−9.09066	+	8.18526i	−0.422936	+	0.380813i
$463$	−5.44116	+	1.76794i	−0.252872	+	0.0821631i	−0.432710	−	0.901533i	$-0.642443\pi$
$463$	−5.44116	+	1.76794i	−0.252872	+	0.0821631i	0.179838	+	0.983696i	$0.442443\pi$
$464$	−4.08508			−0.189645
$465$	13.4348	−	9.36966i	0.623025	−	0.434508i
$466$		−	10.2755i		−	0.476003i
$467$	−0.425938	−	1.31090i	−0.0197101	−	0.0606613i	0.940718	−	0.339190i	$-0.110153\pi$
$467$	−0.425938	−	1.31090i	−0.0197101	−	0.0606613i	−0.960428	+	0.278529i	$0.910153\pi$
$468$	0.995106	+	7.76001i	0.0459988	+	0.358707i
$469$	15.9505	−	11.5887i	0.736525	−	0.535116i
$470$	−3.04391	+	1.75740i	−0.140405	+	0.0810629i
$471$	−3.71891	+	6.44134i	−0.171358	+	0.296801i
$472$	−0.0843952	−	0.802967i	−0.00388460	−	0.0369595i
$473$	8.90917	−	12.2624i	0.409644	−	0.563827i
$474$	−0.112013	−	0.0117731i	−0.00514494	−	0.000540755i
$475$	−26.4973	−	23.8583i	−1.21578	−	1.09469i
$476$	−13.4427	+	30.1928i	−0.616146	+	1.38389i
$477$	−8.18234	−	1.73921i	−0.374643	−	0.0796329i
$478$	−14.7796	+	3.14151i	−0.676005	+	0.143689i
$479$	−1.17915	−	2.64842i	−0.0538768	−	0.121009i	0.884601	−	0.466348i	$-0.154431\pi$
$479$	−1.17915	−	2.64842i	−0.0538768	−	0.121009i	−0.938478	+	0.345339i	$0.887764\pi$
$480$	−0.909075	+	2.79784i	−0.0414934	+	0.127704i
$481$	12.1555	+	15.9520i	0.554242	+	0.727350i
$482$	5.39068	−	2.40009i	0.245539	−	0.109321i
$483$	−3.99340	−	18.7875i	−0.181706	−	0.854859i
$484$	4.02185	+	0.854871i	0.182811	+	0.0388578i
$485$	52.3008	+	23.2858i	2.37486	+	1.05735i
$486$	12.0032	+	10.8077i	0.544474	+	0.490247i
$487$	11.0246	+	1.15873i	0.499573	+	0.0525072i	0.350964	−	0.936389i	$-0.385854\pi$
$487$	11.0246	+	1.15873i	0.499573	+	0.0525072i	0.148609	+	0.988896i	$0.452521\pi$
$488$	6.18955	−	8.51918i	0.280188	−	0.385645i
$489$	−5.83169	+	0.612936i	−0.263718	+	0.0277179i
$490$	−30.9461	+	53.6003i	−1.39800	+	2.42141i
$491$	8.42362	+	14.5901i	0.380153	+	0.658444i	0.991084	−	0.133240i	$-0.0425381\pi$
$491$	8.42362	+	14.5901i	0.380153	+	0.658444i	−0.610931	+	0.791684i	$0.709205\pi$
$492$	−1.38218	−	1.90241i	−0.0623137	−	0.0857674i
$493$	−17.6601	−	19.6135i	−0.795372	−	0.883350i
$494$	6.80645	−	22.6978i	0.306237	−	1.02122i
$495$	18.3879			0.826473
$496$	−3.18498	−	4.56683i	−0.143010	−	0.205057i
$497$	−56.3394			−2.52717
$498$	−1.39742	−	4.30081i	−0.0626198	−	0.192724i
$499$	8.04279	−	7.24176i	0.360045	−	0.324186i	−0.469179	−	0.883103i	$-0.655450\pi$
$499$	8.04279	−	7.24176i	0.360045	−	0.324186i	0.829223	+	0.558918i	$0.188783\pi$
$500$	−0.807018	−	1.11077i	−0.0360910	−	0.0496749i
$501$	−3.48190	+	2.01028i	−0.155560	+	0.0898126i
$502$	17.0925	+	9.86838i	0.762877	+	0.440447i
$503$	2.52929	+	24.0646i	0.112775	+	1.07299i	0.893794	+	0.448479i	$0.148034\pi$
$503$	2.52929	+	24.0646i	0.112775	+	1.07299i	−0.781018	+	0.624508i	$0.785299\pi$
$504$	−8.98011	−	6.52443i	−0.400006	−	0.290621i
$505$	−60.2329	−	6.33074i	−2.68033	−	0.281714i
$506$	7.23710	−	8.03762i	0.321729	−	0.357316i
$507$	−0.699383	+	11.8239i	−0.0310607	+	0.525116i
$508$	−7.00412	−	1.48877i	−0.310758	−	0.0660536i
$509$	−3.40767	−	16.0318i	−0.151042	−	0.710598i	−0.986858	−	0.161588i	$-0.948338\pi$
$509$	−3.40767	−	16.0318i	−0.151042	−	0.710598i	0.835816	−	0.549010i	$-0.184995\pi$
$510$	−17.3632	+	7.73059i	−0.768855	+	0.342316i
$511$	−1.34349	+	4.13484i	−0.0594325	+	0.182914i
$512$	0.951057	+	0.309017i	0.0420312	+	0.0136568i
$513$	−12.5915	−	28.2809i	−0.555928	−	1.24863i
$514$	1.26481	+	5.95047i	0.0557884	+	0.262464i
$515$	−8.25321	+	38.8283i	−0.363680	+	1.71098i
$516$	−4.80692	−	2.14018i	−0.211613	−	0.0942162i
$517$	−1.91172	+	2.12318i	−0.0840775	+	0.0933775i
$518$	−28.2988	−	2.97432i	−1.24338	−	0.130684i
$519$	−1.07831	−	0.783441i	−0.0473327	−	0.0343892i
$520$	5.58927	−	10.2122i	0.245106	−	0.447833i
$521$	4.39728	−	7.61630i	0.192648	−	0.333676i	−0.753479	−	0.657472i	$-0.771626\pi$
$521$	4.39728	−	7.61630i	0.192648	−	0.333676i	0.946127	+	0.323796i	$0.104959\pi$
$522$	7.67651	−	4.43203i	0.335992	−	0.193985i
$523$	13.7511	−	9.99078i	0.601295	−	0.436866i	−0.245043	−	0.969512i	$-0.578802\pi$
$523$	13.7511	−	9.99078i	0.601295	−	0.436866i	0.846338	+	0.532646i	$0.178802\pi$
$524$	−1.62627	−	1.80615i	−0.0710439	−	0.0789022i
$525$	−24.0486	+	7.81387i	−1.04957	+	0.341025i
$526$			8.63013i			0.376291i
$527$	8.15763	−	35.0347i	0.355352	−	1.52613i
$528$			2.39128i			0.104067i
$529$	−1.85958	−	5.72319i	−0.0808512	−	0.248834i
$530$	8.32902	+	9.25031i	0.361790	+	0.401808i
$531$	1.02976	+	1.41734i	0.0446876	+	0.0615072i
$532$	16.8101	+	29.1160i	0.728812	+	1.26234i
$533$	3.97792	+	8.41252i	0.172303	+	0.364386i
$534$	1.14176	+	10.8631i	0.0494088	+	0.470093i
$535$	11.3256	−	15.5883i	0.489647	−	0.673941i
$536$	0.402865	−	3.83300i	0.0174011	−	0.165560i
$537$	−11.7822	+	13.0854i	−0.508438	+	0.564678i
$538$	0.499821	−	1.12262i	0.0215488	−	0.0483995i
$539$	−10.4599	+	49.2101i	−0.450541	+	2.11963i
$540$	−3.16210	−	14.8765i	−0.136075	−	0.640183i
$541$	−15.4035	−	34.5967i	−0.662246	−	1.48743i	−0.861645	−	0.507511i	$-0.830566\pi$
$541$	−15.4035	−	34.5967i	−0.662246	−	1.48743i	0.199399	−	0.979918i	$-0.436101\pi$
$542$	3.73225	−	11.4867i	0.160314	−	0.493396i
$543$	−4.04970	+	12.4637i	−0.173789	+	0.534869i
$544$	2.62782	+	5.90218i	0.112667	+	0.253054i
$545$	64.1489	−	13.6353i	2.74784	−	0.584070i
$546$	−11.5267	−	12.2287i	−0.493299	−	0.523340i
$547$	−4.27865	−	1.90498i	−0.182942	−	0.0814509i	0.313222	−	0.949680i	$-0.398592\pi$
$547$	−4.27865	−	1.90498i	−0.182942	−	0.0814509i	−0.496164	+	0.868229i	$0.665258\pi$
$548$	9.12278	+	8.21418i	0.389706	+	0.350893i
$549$	−2.38840	+	22.7241i	−0.101935	+	0.969842i
$550$	−11.5194	−	8.36937i	−0.491191	−	0.356871i
$551$	−26.7008	+	2.80637i	−1.13749	+	0.119555i
$552$	−3.25164	−	1.87734i	−0.138399	−	0.0799048i
$553$	−0.547649	+	0.316185i	−0.0232884	+	0.0134456i
$554$	−16.5321	−	22.7545i	−0.702381	−	0.966744i
$555$	−10.9494	−	12.1605i	−0.464776	−	0.516186i
$556$	2.78203	+	8.56221i	0.117984	+	0.363118i
$557$		−	7.60826i		−	0.322372i	−0.986924	−	0.161186i	$-0.948468\pi$
$557$		−	7.60826i		−	0.322372i	0.986924	−	0.161186i	$-0.0515320\pi$
$558$	10.9398	+	5.12630i	0.463118	+	0.217014i
$559$	17.1207	+	11.8516i	0.724128	+	0.501271i
$560$	5.10407	+	15.7087i	0.215686	+	0.663814i
$561$	−11.4812	+	10.3377i	−0.484735	+	0.436458i
$562$	−11.5252	+	8.37358i	−0.486163	+	0.353218i
$563$	5.83797	+	10.1117i	0.246041	+	0.426155i	0.962424	−	0.271552i	$-0.0875369\pi$
$563$	5.83797	+	10.1117i	0.246041	+	0.426155i	−0.716383	+	0.697707i	$0.754204\pi$
$564$	0.858941	+	0.495910i	0.0361679	+	0.0208816i
$565$	11.1699	−	1.17401i	0.469922	−	0.0493908i
$566$	−4.52323	+	6.22570i	−0.190126	+	0.261686i
$567$	11.2836	+	1.18596i	0.473868	+	0.0498055i
$568$	−7.36940	+	8.18455i	−0.309213	+	0.343416i
$569$	3.00104	+	1.33615i	0.125810	+	0.0560143i	0.468676	−	0.883370i	$-0.344731\pi$
$569$	3.00104	+	1.33615i	0.125810	+	0.0560143i	−0.342866	+	0.939384i	$0.611398\pi$
$570$	−4.01982	+	18.9118i	−0.168372	+	0.792126i
$571$	15.4862	−	3.29169i	0.648077	−	0.137753i	0.127867	−	0.991791i	$-0.459187\pi$
$571$	15.4862	−	3.29169i	0.648077	−	0.137753i	0.520210	+	0.854038i	$0.325854\pi$
$572$	1.75575	−	9.29867i	0.0734116	−	0.388797i
$573$	−2.09324	+	6.44234i	−0.0874464	+	0.269132i
$574$	−12.5566	−	4.07987i	−0.524100	−	0.170291i
$575$	20.4243	−	9.09346i	0.851750	−	0.379224i
$576$	−2.12245	+	0.451140i	−0.0884353	+	0.0187975i
$577$	4.54741	−	21.3939i	0.189311	−	0.890639i	−0.776242	−	0.630435i	$-0.782877\pi$
$577$	4.54741	−	21.3939i	0.189311	−	0.890639i	0.965553	−	0.260205i	$-0.0837900\pi$
$578$	−10.0631	+	22.6022i	−0.418571	+	0.940126i
$579$	17.5162	+	15.7716i	0.727948	+	0.655447i
$580$	−13.1177	−	1.37873i	−0.544683	−	0.0572485i
$581$	−20.5409	−	14.9238i	−0.852178	−	0.619144i
$582$	−1.68867	−	16.0666i	−0.0699976	−	0.665982i
$583$	8.76248	+	5.05902i	0.362905	+	0.209523i
$584$	0.424943	+	0.736023i	0.0175843	+	0.0304568i
$585$	0.576382	+	25.2542i	0.0238305	+	1.04413i
$586$	−8.25090	−	9.16356i	−0.340842	−	0.378543i
$587$	−40.5688	+	13.1816i	−1.67445	+	0.544063i	−0.983823	−	0.179145i	$-0.942667\pi$
$587$	−40.5688	+	13.1816i	−1.67445	+	0.544063i	−0.690630	+	0.723208i	$0.742667\pi$
$588$	17.4650			0.720243
$589$	−23.9549	−	27.6616i	−0.987046	−	1.13978i
$590$		−	2.60691i		−	0.107325i
$591$	2.53512	−	0.823709i	0.104281	−	0.0338829i
$592$	−4.13367	+	3.72197i	−0.169893	+	0.152972i
$593$	23.7254	+	32.6551i	0.974283	+	1.34099i	0.939853	+	0.341579i	$0.110962\pi$
$593$	23.7254	+	32.6551i	0.974283	+	1.34099i	0.0344304	+	0.999407i	$0.489038\pi$
$594$	−6.18130	−	10.7063i	−0.253622	−	0.439286i
$595$	−53.3564	+	92.4160i	−2.18740	+	3.78869i
$596$	5.51196	−	0.579331i	0.225779	−	0.0237303i
$597$	−2.03520	−	1.47866i	−0.0832953	−	0.0605175i
$598$	11.2659	+	9.68762i	0.460695	+	0.396156i
$599$	−24.7693	+	27.5091i	−1.01205	+	1.12399i	−0.0197893	+	0.999804i	$0.506300\pi$
$599$	−24.7693	+	27.5091i	−1.01205	+	1.12399i	−0.992259	+	0.124189i	$0.960367\pi$
$600$	−2.01051	+	4.51567i	−0.0820786	+	0.184352i
$601$	7.92173	+	1.68382i	0.323134	+	0.0686843i	0.366623	−	0.930370i	$-0.380514\pi$
$601$	7.92173	+	1.68382i	0.323134	+	0.0686843i	−0.0434887	+	0.999054i	$0.513847\pi$
$602$	−28.8974	+	6.14233i	−1.17777	+	0.250343i
$603$	3.40150	+	7.63990i	0.138520	+	0.311121i
$604$	−21.4640	−	6.97406i	−0.873356	−	0.283770i
$605$	12.6261	+	4.10248i	0.513326	+	0.166790i
$606$	6.95128	+	15.6128i	0.282376	+	0.634228i
$607$	25.7975	−	5.48342i	1.04709	−	0.222565i	0.347921	−	0.937524i	$-0.386888\pi$
$607$	25.7975	−	5.48342i	1.04709	−	0.222565i	0.699167	+	0.714959i	$0.253555\pi$
$608$	6.42857	+	1.36644i	0.260713	+	0.0554163i
$609$	−7.74425	+	17.3939i	−0.313813	+	0.704835i
$610$	22.7507	−	25.2672i	0.921147	−	1.02304i
$611$	−2.97594	−	2.55904i	−0.120394	−	0.103528i
$612$	−11.3416	−	8.24012i	−0.458455	−	0.333087i
$613$	−29.9831	+	3.15135i	−1.21100	+	0.127282i	−0.688424	−	0.725308i	$-0.741697\pi$
$613$	−29.9831	+	3.15135i	−1.21100	+	0.127282i	−0.522581	+	0.852590i	$0.675031\pi$
$614$	−2.56864	+	4.44901i	−0.103662	+	0.179547i
$615$	−3.79630	−	6.57538i	−0.153081	−	0.265145i
$616$	7.89162	+	10.8619i	0.317962	+	0.437638i
$617$	12.5853	−	11.3319i	0.506665	−	0.456203i	−0.375719	−	0.926734i	$-0.622604\pi$
$617$	12.5853	−	11.3319i	0.506665	−	0.456203i	0.882384	+	0.470531i	$0.155937\pi$
$618$	10.6532	−	3.46145i	0.428536	−	0.139240i
$619$			15.7457i			0.632874i	0.948614	+	0.316437i	$0.102487\pi$
$619$			15.7457i			0.632874i	−0.948614	+	0.316437i	$0.897513\pi$
$620$	−8.68605	−	15.7396i	−0.348840	−	0.632117i
$621$	19.4112			0.778943
$622$	10.9277	−	3.55062i	0.438161	−	0.142367i
$623$	41.0363	+	45.5754i	1.64409	+	1.82594i
$624$	−3.28423	+	0.0749565i	−0.131474	+	0.00300066i
$625$	11.3465	+	19.6527i	0.453861	+	0.786110i
$626$	5.98428	+	3.45503i	0.239180	+	0.138091i
$627$	1.64276	+	15.6299i	0.0656057	+	0.624196i
$628$	6.60433	+	4.79832i	0.263541	+	0.191474i
$629$	−35.7403	−	3.75646i	−1.42506	−	0.149780i
$630$	−26.6342	−	23.9816i	−1.06113	−	0.955449i
$631$	−0.273112	+	0.613420i	−0.0108724	+	0.0244199i	−0.918900	−	0.394490i	$-0.870921\pi$
$631$	−0.273112	+	0.613420i	−0.0108724	+	0.0244199i	0.908028	+	0.418910i	$0.137588\pi$
$632$	−0.0257015	+	0.120916i	−0.00102235	+	0.00480979i
$633$	19.0941	−	4.05858i	0.758923	−	0.161314i
$634$	26.0323	−	11.5903i	1.03387	−	0.460311i
$635$	−21.9886	−	7.14454i	−0.872593	−	0.283523i
$636$	1.08542	−	3.34057i	0.0430396	−	0.132462i
$637$	−67.9138	−	12.8233i	−2.69084	−	0.508078i
$638$	−10.4872	+	2.22913i	−0.415193	+	0.0882521i
$639$	4.96859	−	23.3754i	0.196554	−	0.924715i
$640$	2.94967	+	1.31328i	0.116596	+	0.0519118i
$641$	−22.0330	+	24.4701i	−0.870251	+	0.966512i	−0.999686	−	0.0250760i	$-0.992017\pi$
$641$	−22.0330	+	24.4701i	−0.870251	+	0.966512i	0.129434	+	0.991588i	$0.458684\pi$
$642$	−5.40738	−	0.568339i	−0.213412	−	0.0224305i
$643$	−4.91874	+	6.77007i	−0.193976	+	0.266985i	−0.894916	−	0.446235i	$-0.852764\pi$
$643$	−4.91874	+	6.77007i	−0.193976	+	0.266985i	0.700939	+	0.713221i	$0.252764\pi$
$644$	−20.9654	+	2.20356i	−0.826154	+	0.0868323i
$645$	−14.7133	−	8.49474i	−0.579336	−	0.334480i
$646$	21.2306	+	36.7725i	0.835307	+	1.44679i
$647$	−16.0729	+	11.6776i	−0.631890	+	0.459095i	−0.857054	−	0.515226i	$-0.827708\pi$
$647$	−16.0729	+	11.6776i	−0.631890	+	0.459095i	0.225165	+	0.974321i	$0.427708\pi$
$648$	1.64823	−	1.48407i	0.0647484	−	0.0582997i
$649$	−0.654819	−	2.01533i	−0.0257039	−	0.0791085i
$650$	11.1336	−	16.0834i	0.436694	−	0.630841i
$651$	−25.4830	+	4.90382i	−0.998758	+	0.192196i
$652$			6.43585i			0.252047i
$653$	−3.61490	−	11.1255i	−0.141462	−	0.435375i	0.855077	−	0.518501i	$-0.173510\pi$
$653$	−3.61490	−	11.1255i	−0.141462	−	0.435375i	−0.996539	+	0.0831259i	$0.973510\pi$
$654$	−12.3830	−	13.7528i	−0.484215	−	0.537775i
$655$	−4.61257	−	6.34866i	−0.180228	−	0.248063i
$656$	−2.23513	+	1.29045i	−0.0872673	+	0.0503838i
$657$	−1.59707	−	0.922068i	−0.0623076	−	0.0359733i
$658$	5.53814	−	0.582082i	0.215899	−	0.0226919i
$659$	32.5339	+	23.6373i	1.26734	+	0.920777i	0.999093	−	0.0425726i	$-0.0135554\pi$
$659$	32.5339	+	23.6373i	1.26734	+	0.920777i	0.268248	+	0.963350i	$0.413555\pi$
$660$	−0.807064	+	7.67870i	−0.0314149	+	0.298893i
$661$	17.4235	+	15.6882i	0.677697	+	0.610201i	0.934373	−	0.356296i	$-0.115961\pi$
$661$	17.4235	+	15.6882i	0.677697	+	0.610201i	−0.256676	+	0.966498i	$0.582627\pi$
$662$	16.5869	+	7.38497i	0.644669	+	0.287025i
$663$	−14.5579	−	15.4444i	−0.565380	−	0.599811i
$664$	−4.85483	+	1.03193i	−0.188404	+	0.0400465i
$665$	44.1527	+	99.1687i	1.71217	+	3.84560i
$666$	3.72973	−	11.4789i	0.144524	−	0.444799i
$667$	5.20213	−	16.0105i	0.201427	−	0.619929i
$668$	1.79484	+	4.03127i	0.0694443	+	0.155974i
$669$	−1.46265	−	6.88122i	−0.0565492	−	0.266043i
$670$	2.58730	−	12.1723i	0.0999560	−	0.470256i
$671$	11.2411	−	25.2480i	0.433959	−	0.974687i
$672$	3.11872	−	3.46369i	0.120307	−	0.133615i
$673$	−3.81357	+	36.2837i	−0.147002	+	1.39863i	0.633626	+	0.773639i	$0.281566\pi$
$673$	−3.81357	+	36.2837i	−0.147002	+	1.39863i	−0.780629	+	0.624995i	$0.785101\pi$
$674$	−10.6052	+	14.5968i	−0.408498	+	0.562249i
$675$	−2.67120	−	25.4148i	−0.102814	−	0.978214i
$676$	12.8260	+	2.11990i	0.493307	+	0.0815348i
$677$	−2.69384	−	4.66587i	−0.103533	−	0.179324i	0.809605	−	0.586975i	$-0.199681\pi$
$677$	−2.69384	−	4.66587i	−0.103533	−	0.179324i	−0.913138	+	0.407651i	$0.866348\pi$
$678$	−1.86289	−	2.56404i	−0.0715437	−	0.0984715i
$679$	−60.6929	−	67.4063i	−2.32918	−	2.58682i
$680$	6.44625	+	19.8395i	0.247203	+	0.760811i
$681$		−	3.45344i		−	0.132336i
$682$	−10.6685	−	9.98601i	−0.408518	−	0.382384i
$683$			7.52152i			0.287803i	0.989592	+	0.143902i	$0.0459648\pi$
$683$			7.52152i			0.287803i	−0.989592	+	0.143902i	$0.954035\pi$
$684$	−13.5628	+	4.40682i	−0.518586	+	0.168499i
$685$	26.5221	+	29.4557i	1.01336	+	1.12545i
$686$	50.3610	−	36.5894i	1.92279	−	1.39699i
$687$	15.9599	−	9.21443i	0.608906	−	0.351552i
$688$	−2.88757	+	5.00142i	−0.110088	+	0.190677i
$689$	−6.67348	+	12.1931i	−0.254239	+	0.464521i
$690$	−9.80783	−	7.12581i	−0.373378	−	0.271275i
$691$	25.8430	+	2.71621i	0.983114	+	0.103329i	0.582425	−	0.812885i	$-0.302104\pi$
$691$	25.8430	+	2.71621i	0.983114	+	0.103329i	0.400689	+	0.916214i	$0.368771\pi$
$692$	−0.978867	+	1.08714i	−0.0372110	+	0.0413269i
$693$	−26.6140	−	11.8493i	−1.01098	−	0.450118i
$694$	5.02870	−	23.6582i	0.190887	−	0.898053i
$695$	6.04367	+	28.4333i	0.229250	+	1.07853i
$696$	1.51387	+	3.40020i	0.0573830	+	0.128884i
$697$	−15.8585	−	5.15273i	−0.600682	−	0.195174i
$698$	4.80518	−	14.7888i	0.181879	−	0.559765i
$699$	−8.55277	+	3.80794i	−0.323496	+	0.144030i
$700$	5.77017	+	27.1465i	0.218092	+	1.02604i
$701$	−21.7250	−	4.61778i	−0.820540	−	0.174411i	−0.221531	−	0.975153i	$-0.571105\pi$
$701$	−21.7250	−	4.61778i	−0.820540	−	0.174411i	−0.599009	+	0.800742i	$0.704439\pi$
$702$	14.5105	−	8.82510i	0.547663	−	0.333082i
$703$	−24.4615	+	27.1672i	−0.922583	+	1.02463i
$704$	2.61018	+	0.274341i	0.0983748	+	0.0103396i
$705$	2.59079	+	1.88232i	0.0975750	+	0.0708924i
$706$	3.30298	+	31.4257i	0.124309	+	1.18272i
$707$	83.0996	+	47.9776i	3.12528	+	1.80438i
$708$	−0.637072	+	0.367813i	−0.0239426	+	0.0138233i
$709$	−13.8353	−	19.0427i	−0.519596	−	0.715163i	0.465904	−	0.884835i	$-0.345729\pi$
$709$	−13.8353	−	19.0427i	−0.519596	−	0.715163i	−0.985501	+	0.169672i	$0.945729\pi$
$710$	−26.4264	+	23.7944i	−0.991764	+	0.892988i
$711$	−0.0828887	−	0.255105i	−0.00310857	−	0.00956719i
$712$	11.9885			0.449289
$713$	21.9545	−	6.66716i	0.822202	−	0.249687i
$714$	30.1126			1.12694
$715$	8.77626	−	29.2666i	0.328213	−	1.09451i
$716$	12.9316	+	14.3620i	0.483275	+	0.536732i
$717$	8.09194	+	11.1376i	0.302199	+	0.415941i
$718$	1.01820	+	1.76357i	0.0379989	+	0.0658160i
$719$	21.4818	−	37.2076i	0.801136	−	1.38761i	−0.117733	−	0.993045i	$-0.537563\pi$
$719$	21.4818	−	37.2076i	0.801136	−	1.38761i	0.918869	−	0.394563i	$-0.129104\pi$
$720$	−6.96771	+	0.732335i	−0.259671	+	0.0272925i
$721$	36.9667	−	50.8804i	1.37671	−	1.89488i
$722$	24.0611	+	2.52893i	0.895463	+	0.0941170i
$723$	−3.99541	−	3.59749i	−0.148591	−	0.133792i
$724$	13.1400	+	5.85032i	0.488346	+	0.217425i
$725$	−21.6782	−	4.60784i	−0.805107	−	0.171131i
$726$	−0.778888	−	3.66438i	−0.0289072	−	0.135998i
$727$	−30.9465	+	13.7783i	−1.14774	+	0.511007i	−0.890340	−	0.455297i	$-0.849533\pi$
$727$	−30.9465	+	13.7783i	−1.14774	+	0.511007i	−0.257402	+	0.966304i	$0.582866\pi$
$728$	−14.6705	+	11.1790i	−0.543726	+	0.414320i
$729$	2.49145	−	7.66790i	0.0922760	−	0.283996i
$730$	1.11613	+	2.50688i	0.0413100	+	0.0927838i
$731$	−36.4963	+	7.75754i	−1.34987	+	0.286923i
$732$	−9.38467	−	1.99477i	−0.346868	−	0.0737290i
$733$	11.8022	−	26.5081i	0.435924	−	0.979100i	−0.553340	−	0.832956i	$-0.686647\pi$
$733$	11.8022	−	26.5081i	0.435924	−	0.979100i	0.989263	−	0.146145i	$-0.0466865\pi$
$734$	2.46100	+	2.21589i	0.0908371	+	0.0817901i
$735$	56.0822	+	5.89448i	2.06862	+	0.217421i
$736$	−2.42224	+	3.33392i	−0.0892849	+	0.122890i
$737$	−1.05734	−	10.0599i	−0.0389477	−	0.370562i
$738$	2.80011	−	4.84994i	0.103074	−	0.178529i
$739$	−33.8108	+	19.5206i	−1.24375	+	0.718079i	−0.969855	−	0.243681i	$-0.921645\pi$
$739$	−33.8108	+	19.5206i	−1.24375	+	0.718079i	−0.273893	+	0.961760i	$0.588312\pi$
$740$	−14.5299	+	10.5566i	−0.534129	+	0.388068i
$741$	−21.4148	+	2.74613i	−0.786693	+	0.100882i
$742$	−6.09416	−	18.7559i	−0.223724	−	0.688551i
$743$		−	46.1105i		−	1.69163i	−0.533478	−	0.845814i	$-0.679115\pi$
$743$		−	46.1105i		−	1.69163i	0.533478	−	0.845814i	$-0.320885\pi$
$744$	−2.62088	+	4.34341i	−0.0960862	+	0.159237i
$745$	17.8951			0.655627
$746$	−11.7937	+	3.83200i	−0.431797	+	0.140299i
$747$	8.00342	−	7.20631i	0.292830	−	0.263665i
$748$	9.96683	+	13.7182i	0.364423	+	0.501586i
$749$	−26.4375	+	15.2637i	−0.966005	+	0.557723i
$750$	−0.625474	+	1.08335i	−0.0228391	+	0.0395584i
$751$	−2.34702	−	22.3304i	−0.0856438	−	0.814847i	−0.950060	−	0.312069i	$-0.898978\pi$
$751$	−2.34702	−	22.3304i	−0.0856438	−	0.814847i	0.864416	−	0.502778i	$-0.167689\pi$
$752$	0.639848	−	0.880675i	0.0233329	−	0.0321149i
$753$	1.87968	−	17.8840i	0.0684995	−	0.651729i
$754$	−3.39026	−	14.3335i	−0.123466	−	0.521994i
$755$	−66.5697	−	29.6387i	−2.42272	−	1.07866i
$756$	−5.00984	+	23.5694i	−0.182206	+	0.857213i
$757$	47.7868	−	10.1574i	1.73684	−	0.369177i	0.772742	−	0.634721i	$-0.218885\pi$
$757$	47.7868	−	10.1574i	1.73684	−	0.369177i	0.964099	+	0.265544i	$0.0855514\pi$
$758$	−28.9486	+	12.8887i	−1.05146	+	0.468140i
$759$	−9.37205	−	3.04516i	−0.340184	−	0.110532i
$760$	20.1818	+	6.55745i	0.732070	+	0.237864i
$761$	11.7268	+	26.3387i	0.425094	+	0.954778i	0.991434	+	0.130606i	$0.0416923\pi$
$761$	11.7268	+	26.3387i	0.425094	+	0.954778i	−0.566340	+	0.824172i	$0.691641\pi$
$762$	1.35645	+	6.38158i	0.0491389	+	0.231180i
$763$	−101.634	−	21.6029i	−3.67939	−	0.782078i
$764$	6.79192	+	3.02396i	0.245723	+	0.109403i
$765$	−33.6381	−	30.2879i	−1.21619	−	1.09506i
$766$	2.71909	−	25.8704i	0.0982448	−	0.934737i
$767$	2.74736	−	0.962512i	0.0992014	−	0.0347543i
$768$	−0.0952377	−	0.906126i	−0.00343660	−	0.0326970i
$769$	14.3338	+	8.27563i	0.516890	+	0.298427i	0.735661	−	0.677349i	$-0.236871\pi$
$769$	14.3338	+	8.27563i	0.516890	+	0.298427i	−0.218771	+	0.975776i	$0.570205\pi$
$770$	21.6751	+	37.5423i	0.781115	+	1.35293i
$771$	4.48414	−	3.25792i	0.161492	−	0.117331i
$772$	19.2249	−	17.3102i	0.691921	−	0.623008i
$773$	24.3521	−	7.91248i	0.875884	−	0.284592i	0.163637	−	0.986521i	$-0.447677\pi$
$773$	24.3521	−	7.91248i	0.875884	−	0.284592i	0.712247	+	0.701929i	$0.247677\pi$
$774$		−	12.5313i		−	0.450427i
$775$	−11.7504	−	27.8272i	−0.422087	−	0.999583i
$776$	−17.7311			−0.636509
$777$	8.01143	+	24.6566i	0.287408	+	0.884552i
$778$	−23.8458	+	21.4708i	−0.854913	+	0.769767i
$779$	−13.7227	+	9.97015i	−0.491668	+	0.357218i
$780$	−10.5714	−	0.867741i	−0.378515	−	0.0310701i
$781$	−14.4526	+	25.0327i	−0.517156	+	0.895741i
$782$	−26.4786	+	2.78301i	−0.946872	+	0.0995202i
$783$	−15.5672	−	11.3103i	−0.556328	−	0.404196i
$784$	2.00368	−	19.0637i	0.0715600	−	0.680848i
$785$	19.5879	+	17.6370i	0.699121	+	0.629491i
$786$	−0.900677	+	2.02295i	−0.0321261	+	0.0721564i
$787$	−0.289143	+	1.36031i	−0.0103068	+	0.0484898i	−0.983000	−	0.183603i	$-0.941224\pi$
$787$	−0.289143	+	1.36031i	−0.0103068	+	0.0484898i	0.972694	+	0.232093i	$0.0745573\pi$
$788$	−0.608269	−	2.86168i	−0.0216687	−	0.101943i
$789$	7.18326	−	3.19820i	0.255731	−	0.113859i
$790$	−0.123340	+	0.379603i	−0.00438826	+	0.0135057i
$791$	−16.9235	−	5.49879i	−0.601732	−	0.195514i
$792$	−5.20258	+	2.31634i	−0.184866	+	0.0823075i
$793$	35.0284	+	14.6473i	1.24389	+	0.520142i
$794$	19.4080	+	4.12529i	0.688764	+	0.146401i
$795$	4.61287	−	10.3607i	0.163601	−	0.367455i
$796$	−1.84751	+	2.05187i	−0.0654832	+	0.0727264i
$797$	−1.05021	+	9.99209i	−0.0372004	+	0.353938i	0.960050	+	0.279829i	$0.0902779\pi$
$797$	−1.05021	+	9.99209i	−0.0372004	+	0.353938i	−0.997250	+	0.0741087i	$0.976389\pi$
$798$	18.0051	−	24.7818i	0.637372	−	0.877268i
$799$	6.99447	−	0.735148i	0.247447	−	0.0260077i
$800$	4.69839	+	2.71261i	0.166113	+	0.0959054i
$801$	−22.5283	+	13.0067i	−0.796000	+	0.459571i
$802$	−4.26215	+	3.09664i	−0.150502	+	0.109346i
$803$	1.49254	+	1.65764i	0.0526708	+	0.0584968i
$804$	−3.33968	+	1.08513i	−0.117782	+	0.0382696i
$805$	−68.0663			−2.39902
$806$	13.3805	−	14.9653i	0.471310	−	0.527131i
$807$	−1.11963			−0.0394130
$808$	17.8395	−	5.79641i	0.627592	−	0.203917i
$809$	3.58582	+	3.98246i	0.126071	+	0.140016i	0.802875	−	0.596147i	$-0.203302\pi$
$809$	3.58582	+	3.98246i	0.126071	+	0.140016i	−0.676805	+	0.736163i	$0.736636\pi$
$810$	5.79354	−	4.20925i	0.203564	−	0.147898i
$811$	−17.0885	+	9.86606i	−0.600059	+	0.346444i	−0.769065	−	0.639171i	$-0.779278\pi$
$811$	−17.0885	+	9.86606i	−0.600059	+	0.346444i	0.169006	+	0.985615i	$0.445944\pi$
$812$	18.0977	+	10.4487i	0.635103	+	0.366677i
$813$	−10.9440	+	1.15026i	−0.383824	+	0.0403415i
$814$	−8.58097	+	11.8107i	−0.300763	+	0.413965i
$815$	−2.17212	+	20.6663i	−0.0760859	+	0.723909i
$816$	3.93883	−	4.37452i	0.137887	−	0.153139i
$817$	−15.4378	+	34.6739i	−0.540101	+	1.21309i
$818$	−8.59942	−	1.82786i	−0.300672	−	0.0639098i
$819$	15.4398	−	36.9236i	0.539511	−	1.29021i
$820$	−7.61282	+	3.38945i	−0.265851	+	0.118365i
$821$	15.5090	+	5.03917i	0.541267	+	0.175868i	0.566875	−	0.823804i	$-0.308152\pi$
$821$	15.5090	+	5.03917i	0.541267	+	0.175868i	−0.0256080	+	0.999672i	$0.508152\pi$
$822$	3.45629	−	10.6374i	0.120552	−	0.371021i
$823$	7.46146	−	3.32206i	0.260090	−	0.115800i	−0.272549	−	0.962142i	$-0.587867\pi$
$823$	7.46146	−	3.32206i	0.260090	−	0.115800i	0.532640	+	0.846342i	$0.321200\pi$
$824$	−2.55611	−	12.0256i	−0.0890464	−	0.418930i
$825$	−2.69729	+	12.6897i	−0.0939075	+	0.441800i
$826$	−1.67992	+	3.77316i	−0.0584518	+	0.131285i
$827$	21.1934	+	19.0826i	0.736968	+	0.663569i	0.949565	−	0.313571i	$-0.101526\pi$
$827$	21.1934	+	19.0826i	0.736968	+	0.663569i	−0.212597	+	0.977140i	$0.568192\pi$
$828$	0.934685	−	8.89293i	0.0324825	−	0.309051i
$829$	−9.31650	−	6.76883i	−0.323575	−	0.235091i	0.414124	−	0.910220i	$-0.364088\pi$
$829$	−9.31650	−	6.76883i	−0.323575	−	0.235091i	−0.737700	+	0.675129i	$0.764088\pi$
$830$	−15.9377	+	1.67512i	−0.553207	+	0.0581444i
$831$	−12.8131	+	22.1929i	−0.444481	+	0.769863i
$832$	−0.294967	+	3.59347i	−0.0102261	+	0.124581i
$833$	100.192	−	72.7938i	3.47145	−	2.52216i
$834$	6.09575	−	5.48864i	0.211079	−	0.190056i
$835$	4.40288	+	13.5507i	0.152368	+	0.468940i
$836$	17.2491			0.596572
$837$	0.506888	−	26.2212i	0.0175206	−	0.906339i
$838$			5.09273i			0.175926i
$839$	−18.2152	+	5.91849i	−0.628860	+	0.204329i	−0.606070	−	0.795411i	$-0.707255\pi$
$839$	−18.2152	+	5.91849i	−0.628860	+	0.204329i	−0.0227900	+	0.999740i	$0.507255\pi$
$840$	11.1836	−	10.0698i	0.385871	−	0.347440i
$841$	9.96073	−	7.23689i	0.343473	−	0.249548i
$842$	−11.5216	−	19.9559i	−0.397059	−	0.687727i
$843$	11.2408	+	6.48988i	0.387154	+	0.223523i
$844$	−2.23952	−	21.3076i	−0.0770875	−	0.733439i
$845$	40.4704	+	11.1361i	1.39222	+	0.383093i
$846$	−0.246902	+	2.34912i	−0.00848868	+	0.0807644i
$847$	−15.6310	−	14.0742i	−0.537087	−	0.483596i
$848$	−3.52185	−	1.56803i	−0.120941	−	0.0538463i
$849$	6.85819	+	1.45775i	0.235372	+	0.0500299i
$850$	7.28751	+	34.2850i	0.249960	+	1.17597i
$851$	−9.32338	−	20.9406i	−0.319601	−	0.717836i
$852$	9.54337	+	3.10083i	0.326951	+	0.106233i
$853$	4.90988	+	1.59532i	0.168111	+	0.0546226i	0.391863	−	0.920023i	$-0.371831\pi$
$853$	4.90988	+	1.59532i	0.168111	+	0.0546226i	−0.223752	+	0.974646i	$0.571831\pi$
$854$	−49.2110	+	21.9101i	−1.68396	+	0.749749i
$855$	−45.0391	+	9.57336i	−1.54031	+	0.327402i
$856$	−1.24073	+	5.83717i	−0.0424073	+	0.199510i
$857$	−33.9173	−	15.1009i	−1.15859	−	0.515838i	−0.264792	−	0.964305i	$-0.585303\pi$
$857$	−33.9173	−	15.1009i	−1.15859	−	0.515838i	−0.893799	+	0.448467i	$0.851970\pi$
$858$	−8.39038	+	1.98455i	−0.286443	+	0.0677515i
$859$	4.84494	−	46.0966i	0.165307	−	1.57279i	−0.526159	−	0.850386i	$-0.676368\pi$
$859$	4.84494	−	46.0966i	0.165307	−	1.57279i	0.691467	−	0.722408i	$-0.256965\pi$
$860$	−10.9603	+	15.0856i	−0.373745	+	0.514415i
$861$	1.25740	+	11.9634i	0.0428521	+	0.407710i
$862$	−8.08844	+	14.0096i	−0.275493	+	0.477168i
$863$	−4.21816	+	2.43536i	−0.143588	+	0.0829005i	−0.570073	−	0.821594i	$-0.693085\pi$
$863$	−4.21816	+	2.43536i	−0.143588	+	0.0829005i	0.426485	+	0.904495i	$0.359752\pi$
$864$	2.76868	+	3.81076i	0.0941923	+	0.129645i
$865$	−3.51018	+	3.16058i	−0.119350	+	0.107463i
$866$	−6.89643	+	2.24078i	−0.234350	+	0.0761450i
$867$	22.5421			0.765570
$868$	2.42916	+	28.3783i	0.0824511	+	0.963224i
$869$			0.324441i			0.0110059i
$870$	3.71364	+	11.4294i	0.125904	+	0.387493i
$871$	13.7833	−	1.76751i	0.467031	−	0.0598897i
$872$	−16.4323	+	11.9388i	−0.556469	+	0.404299i
$873$	33.3195	−	19.2370i	1.12769	−	0.651075i
$874$	−13.5419	+	23.4552i	−0.458060	+	0.793383i
$875$	0.734160	+	6.98507i	0.0248191	+	0.236138i
$876$	0.455149	−	0.626459i	0.0153781	−	0.0211661i
$877$	20.0852	+	2.11104i	0.678229	+	0.0712847i	0.437378	−	0.899278i	$-0.355907\pi$
$877$	20.0852	+	2.11104i	0.678229	+	0.0712847i	0.240850	+	0.970562i	$0.422574\pi$
$878$	−13.0762	−	11.7739i	−0.441301	−	0.397350i
$879$	−4.56960	+	10.2635i	−0.154129	+	0.346179i
$880$	8.28902	+	1.76189i	0.279423	+	0.0593931i
$881$	−7.14666	+	1.51907i	−0.240777	+	0.0511787i	−0.326719	−	0.945121i	$-0.605943\pi$
$881$	−7.14666	+	1.51907i	−0.240777	+	0.0511787i	0.0859425	+	0.996300i	$0.472610\pi$
$882$	16.9176	+	37.9976i	0.569646	+	1.27945i
$883$	15.7171	−	48.3722i	0.528922	−	1.62785i	−0.227507	−	0.973777i	$-0.573057\pi$
$883$	15.7171	−	48.3722i	0.528922	−	1.62785i	0.756428	−	0.654077i	$-0.226943\pi$
$884$	−18.5283	+	14.1186i	−0.623176	+	0.474861i
$885$	−2.16985	+	0.966081i	−0.0729388	+	0.0324745i
$886$	7.50693	+	35.3173i	0.252200	+	1.18651i
$887$	36.6524	+	7.79071i	1.23067	+	0.261586i	0.776952	−	0.629560i	$-0.216765\pi$
$887$	36.6524	+	7.79071i	1.23067	+	0.261586i	0.453716	+	0.891147i	$0.350098\pi$
$888$	4.62985	+	2.06134i	0.155367	+	0.0691740i
$889$	27.2216	+	24.5105i	0.912984	+	0.822055i
$890$	38.4967	+	4.04616i	1.29041	+	0.135628i
$891$	3.42151	−	4.70931i	0.114625	−	0.157768i
$892$	−7.67893	+	0.807088i	−0.257110	+	0.0270233i
$893$	3.57716	−	6.19582i	0.119705	−	0.207335i
$894$	−2.52486	−	4.37318i	−0.0844438	−	0.146261i
$895$	36.6777	+	50.4825i	1.22600	+	1.68744i
$896$	−3.42296	−	3.80159i	−0.114353	−	0.127002i
$897$	3.88851	−	12.9672i	0.129834	−	0.432962i
$898$	−5.57011			−0.185877
$899$	−21.4917	−	7.44529i	−0.716787	−	0.248314i
$900$	−11.7720			−0.392400
$901$	−7.69670	−	23.6880i	−0.256414	−	0.789162i
$902$	−5.03387	+	4.53252i	−0.167610	+	0.150916i
$903$	15.8215	+	21.7764i	0.526506	+	0.724673i
$904$	−3.01248	+	1.73926i	−0.100194	+	0.0578468i
$905$	40.2198	+	23.2209i	1.33695	+	0.771889i
$906$	2.14938	+	20.4499i	0.0714082	+	0.679404i
$907$	1.79353	+	1.30308i	0.0595533	+	0.0432680i	0.617164	−	0.786835i	$-0.288282\pi$
$907$	1.79353	+	1.30308i	0.0595533	+	0.0432680i	−0.557610	+	0.830103i	$0.688282\pi$
$908$	−3.76957	−	0.396198i	−0.125098	−	0.0131483i
$909$	−27.2346	+	30.2471i	−0.903314	+	1.00323i
$910$	−50.8818	+	30.9457i	−1.68672	+	1.02584i
$911$	33.8868	+	7.20286i	1.12272	+	0.238641i	0.731624	−	0.681709i	$-0.238763\pi$
$911$	33.8868	+	7.20286i	1.12272	+	0.238641i	0.391096	+	0.920350i	$0.372096\pi$
$912$	−1.24498	−	5.85719i	−0.0412255	−	0.193951i
$913$	−11.9002	+	5.29833i	−0.393840	+	0.175349i
$914$	−1.05843	+	3.25752i	−0.0350098	+	0.107749i
$915$	−29.4621	−	9.57282i	−0.973987	−	0.316468i
$916$	−8.22692	−	18.4780i	−0.271825	−	0.610529i
$917$	2.58495	+	12.1612i	0.0853625	+	0.401599i
$918$	−6.32725	+	29.7674i	−0.208830	+	0.982469i
$919$	−13.7031	−	6.10101i	−0.452023	−	0.201254i	0.168081	−	0.985773i	$-0.446243\pi$
$919$	−13.7031	−	6.10101i	−0.452023	−	0.201254i	−0.620104	+	0.784520i	$0.712910\pi$
$920$	−8.90331	+	9.88813i	−0.293534	+	0.326002i
$921$	4.65502	+	0.489262i	0.153388	+	0.0161217i
$922$	−12.4554	−	9.04939i	−0.410197	−	0.298026i
$923$	−34.8334	−	19.0648i	−1.14655	−	0.627527i
$924$	6.11634	−	10.5938i	0.201213	−	0.348511i
$925$	−26.1343	+	15.0886i	−0.859290	+	0.496111i
$926$	4.62853	−	3.36282i	0.152103	−	0.110509i
$927$	17.8503	+	19.8247i	0.586280	+	0.651130i
$928$	3.88514	−	1.26236i	0.127536	−	0.0414390i
$929$		−	53.0821i		−	1.74157i	−0.491667	−	0.870783i	$-0.663612\pi$
$929$		−	53.0821i		−	1.74157i	0.491667	−	0.870783i	$-0.336388\pi$
$930$	−9.88189	+	13.0627i	−0.324040	+	0.428342i
$931$		−	125.981i		−	4.12885i
$932$	3.17530	+	9.77257i	0.104010	+	0.320111i
$933$	−7.00499	−	7.77983i	−0.229333	−	0.254700i
$934$	0.810182	+	1.11512i	0.0265100	+	0.0364878i
$935$	27.3748	+	47.4145i	0.895252	+	1.55062i
$936$	−3.34438	−	7.07271i	−0.109314	−	0.231179i
$937$	2.40155	+	22.8492i	0.0784552	+	0.746451i	0.961061	+	0.276337i	$0.0891206\pi$
$937$	2.40155	+	22.8492i	0.0784552	+	0.746451i	−0.882606	+	0.470114i	$0.844213\pi$
$938$	−11.5887	+	15.9505i	−0.378384	+	0.520801i
$939$	0.658098	−	6.26138i	0.0214762	−	0.204332i
$940$	2.35186	−	2.61201i	0.0767093	−	0.0851943i
$941$	−6.82365	+	15.3262i	−0.222445	+	0.499619i	−0.989949	−	0.141425i	$-0.954832\pi$
$941$	−6.82365	+	15.3262i	−0.222445	+	0.499619i	0.767504	+	0.641044i	$0.221498\pi$
$942$	1.54641	−	7.27528i	0.0503847	−	0.237041i
$943$	−2.21131	−	10.4034i	−0.0720102	−	0.338781i
$944$	0.328395	+	0.737587i	0.0106883	+	0.0240064i
$945$	−24.0420	+	73.9936i	−0.782086	+	2.40701i
$946$	−4.68383	+	14.4153i	−0.152284	+	0.468683i
$947$	−9.23785	−	20.7486i	−0.300190	−	0.674238i	0.698973	−	0.715148i	$-0.253641\pi$
$947$	−9.23785	−	20.7486i	−0.300190	−	0.674238i	−0.999163	+	0.0409105i	$0.986974\pi$
$948$	0.110169	−	0.0234171i	0.00357812	−	0.000760553i
$949$	−2.22985	+	2.10185i	−0.0723838	+	0.0682288i
$950$	32.5730	+	14.5025i	1.05681	+	0.470522i
$951$	−19.2944	−	17.3727i	−0.625662	−	0.563349i
$952$	3.45468	−	32.8691i	0.111967	−	1.06529i
$953$	28.3643	+	20.6079i	0.918811	+	0.667555i	0.943228	−	0.332147i	$-0.107773\pi$
$953$	28.3643	+	20.6079i	0.918811	+	0.667555i	−0.0244168	+	0.999702i	$0.507773\pi$
$954$	8.31931	−	0.874395i	0.269348	−	0.0283096i
$955$	20.7891	+	12.0026i	0.672720	+	0.388395i
$956$	13.0855	−	7.55492i	0.423215	−	0.244343i
$957$	5.74182	+	7.90294i	0.185607	+	0.255466i
$958$	1.93985	+	2.15442i	0.0626736	+	0.0696060i
$959$	−19.4056	−	59.7243i	−0.626640	−	1.92860i
$960$		−	2.94183i		−	0.0949471i
$961$	−8.43292	−	29.8310i	−0.272030	−	0.962289i
$962$	−16.4900	−	11.4150i	−0.531659	−	0.368036i
$963$	−4.00141	−	12.3151i	−0.128944	−	0.396848i
$964$	−4.38518	+	3.94843i	−0.141237	+	0.127170i
$965$	67.5759	−	49.0968i	2.17535	−	1.58048i
$966$	9.60360	+	16.6339i	0.308991	+	0.535187i
$967$	17.2922	+	9.98366i	0.556080	+	0.321053i	0.751571	−	0.659653i	$-0.229297\pi$
$967$	17.2922	+	9.98366i	0.556080	+	0.321053i	−0.195491	+	0.980706i	$0.562630\pi$
$968$	−4.08918	+	0.429790i	−0.131431	+	0.0138140i
$969$	22.7397	−	31.2986i	0.730506	−	1.00545i
$970$	−56.9367	−	5.98429i	−1.82813	−	0.192144i
$971$	12.6919	−	14.0957i	0.407301	−	0.452354i	−0.504239	−	0.863564i	$-0.668227\pi$
$971$	12.6919	−	14.0957i	0.407301	−	0.452354i	0.911541	+	0.411210i	$0.134894\pi$
$972$	−14.7554	−	6.56954i	−0.473281	−	0.210718i
$973$	9.57524	−	45.0480i	0.306968	−	1.44417i
$974$	−10.8431	+	2.30477i	−0.347435	+	0.0738496i
$975$	−17.5129	−	3.30673i	−0.560861	−	0.105900i
$976$	−3.25404	+	10.0149i	−0.104159	+	0.320569i
$977$	35.3379	+	11.4820i	1.13056	+	0.367341i	0.813788	−	0.581162i	$-0.197402\pi$
$977$	35.3379	+	11.4820i	1.13056	+	0.367341i	0.316770	+	0.948502i	$0.397402\pi$
$978$	5.35686	−	2.38503i	0.171294	−	0.0762648i
$979$	30.7770	−	6.54185i	0.983637	−	0.209079i
$980$	12.8681	−	60.5398i	0.411057	−	1.93387i
$981$	17.9262	−	40.2629i	0.572339	−	1.28549i
$982$	−12.5199	−	11.2730i	−0.399527	−	0.359736i
$983$	−2.05284	−	0.215762i	−0.0654753	−	0.00688174i	0.0717341	−	0.997424i	$-0.477147\pi$
$983$	−2.05284	−	0.215762i	−0.0654753	−	0.00688174i	−0.137209	+	0.990542i	$0.543813\pi$
$984$	1.90241	+	1.38218i	0.0606467	+	0.0440624i
$985$	−0.987403	−	9.39451i	−0.0314613	−	0.299334i
$986$	22.8567	+	13.1963i	0.727905	+	0.420256i
$987$	−2.53685	−	4.39395i	−0.0807487	−	0.139861i
$988$	0.540686	+	23.6902i	0.0172015	+	0.753686i
$989$	−15.9247	−	17.6862i	−0.506376	−	0.562388i
$990$	−17.4879	+	5.68216i	−0.555802	+	0.180591i
$991$	54.7411			1.73891			0.869455	−	0.494013i	$-0.164470\pi$
$991$	54.7411			1.73891			0.869455	+	0.494013i	$0.164470\pi$
$992$	4.44032	+	3.35910i	0.140980	+	0.106651i
$993$		−	16.5428i		−	0.524971i
$994$	53.5820	−	17.4098i	1.69952	−	0.552207i
$995$	−6.62509	+	5.96526i	−0.210029	+	0.189111i
$996$	2.65805	+	3.65849i	0.0842234	+	0.115924i
$997$	−7.66289	−	13.2725i	−0.242686	−	0.420345i	0.718792	−	0.695225i	$-0.244695\pi$
$997$	−7.66289	−	13.2725i	−0.242686	−	0.420345i	−0.961479	+	0.274880i	$0.911362\pi$
$998$	−5.41132	+	9.37268i	−0.171292	+	0.296687i
$999$	−26.0573	+	2.73874i	−0.824417	+	0.0866498i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	806.2.bw.a.51.13	✓	288
13.12	even	2	inner	806.2.bw.a.51.31	yes	288
31.14	even	15	inner	806.2.bw.a.727.31	yes	288
403.324	even	30	inner	806.2.bw.a.727.13	yes	288

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
806.2.bw.a.51.13	✓	288	1.1	even	1	trivial
806.2.bw.a.51.31	yes	288	13.12	even	2	inner
806.2.bw.a.727.13	yes	288	403.324	even	30	inner
806.2.bw.a.727.31	yes	288	31.14	even	15	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:	\( N \)	\(=\)	\( 806 = 2 \cdot 13 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	806.bw (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.951057 + 0.309017i) q^{2} +(0.609657 + 0.677092i) q^{3} +(0.809017 - 0.587785i) q^{4} +(2.79623 - 1.61441i) q^{5} +(-0.789051 - 0.455559i) q^{6} +(-5.08752 + 0.534719i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(0.226813 - 2.15798i) q^{9} +O(q^{10})\)	\(q+(-0.951057 + 0.309017i) q^{2} +(0.609657 + 0.677092i) q^{3} +(0.809017 - 0.587785i) q^{4} +(2.79623 - 1.61441i) q^{5} +(-0.789051 - 0.455559i) q^{6} +(-5.08752 + 0.534719i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(0.226813 - 2.15798i) q^{9} +(-2.16050 + 2.39948i) q^{10} +(-1.06750 + 2.39765i) q^{11} +(0.891208 + 0.189432i) q^{12} +(-3.32644 - 1.39097i) q^{13} +(4.67328 - 2.08068i) q^{14} +(2.79784 + 0.909075i) q^{15} +(0.309017 - 0.951057i) q^{16} +(5.90218 - 2.62782i) q^{17} +(0.451140 + 2.12245i) q^{18} +(1.36644 - 6.42857i) q^{19} +(1.31328 - 2.94967i) q^{20} +(-3.46369 - 3.11872i) q^{21} +(0.274341 - 2.61018i) q^{22} +(3.33392 + 2.42224i) q^{23} +(-0.906126 + 0.0952377i) q^{24} +(2.71261 - 4.69839i) q^{25} +(3.59347 + 0.294967i) q^{26} +(3.81076 - 2.76868i) q^{27} +(-3.80159 + 3.42296i) q^{28} +(-1.26236 - 3.88514i) q^{29} -2.94183 q^{30} +(3.35910 - 4.44032i) q^{31} +1.00000i q^{32} +(-2.27424 + 0.738946i) q^{33} +(-4.80126 + 4.32308i) q^{34} +(-13.3626 + 9.70852i) q^{35} +(-1.08493 - 1.87916i) q^{36} +(-4.81718 - 2.78120i) q^{37} +(0.686981 + 6.53619i) q^{38} +(-1.08617 - 3.10032i) q^{39} +(-0.337503 + 3.21112i) q^{40} +(-1.91799 - 1.72697i) q^{41} +(4.25791 + 1.89574i) q^{42} +(-5.64894 - 1.20072i) q^{43} +(0.545676 + 2.56720i) q^{44} +(-2.84963 - 6.40038i) q^{45} +(-3.91926 - 1.27345i) q^{46} +(1.03530 + 0.336388i) q^{47} +(0.832347 - 0.370585i) q^{48} +(18.7499 - 3.98540i) q^{49} +(-1.12797 + 5.30667i) q^{50} +(5.37758 + 2.39425i) q^{51} +(-3.50874 + 0.829912i) q^{52} +(0.402972 - 3.83402i) q^{53} +(-2.76868 + 3.81076i) q^{54} +(0.885795 + 8.42778i) q^{55} +(2.55777 - 4.43019i) q^{56} +(5.18579 - 2.99402i) q^{57} +(2.40115 + 3.30490i) q^{58} +(-0.600007 + 0.540249i) q^{59} +(2.79784 - 0.909075i) q^{60} -10.5303 q^{61} +(-1.82256 + 5.26102i) q^{62} +11.1000i q^{63} +(-0.309017 - 0.951057i) q^{64} +(-11.5471 + 1.48074i) q^{65} +(1.93459 - 1.40556i) q^{66} +(-3.33776 + 1.92706i) q^{67} +(3.23037 - 5.59516i) q^{68} +(0.392471 + 3.73411i) q^{69} +(9.70852 - 13.3626i) q^{70} +(10.9531 + 1.15121i) q^{71} +(1.61252 + 1.45192i) q^{72} +(0.345680 - 0.776409i) q^{73} +(5.44084 + 1.15649i) q^{74} +(4.83500 - 1.02771i) q^{75} +(-2.67315 - 6.00399i) q^{76} +(4.14887 - 12.7689i) q^{77} +(1.99106 + 2.61294i) q^{78} +(0.112930 - 0.0502798i) q^{79} +(-0.671308 - 3.15825i) q^{80} +(-2.16944 - 0.461129i) q^{81} +(2.35778 + 1.04975i) q^{82} +(3.68844 + 3.32109i) q^{83} +(-4.63533 - 0.487192i) q^{84} +(12.2615 - 16.8765i) q^{85} +(5.74350 - 0.603667i) q^{86} +(1.86099 - 3.22334i) q^{87} +(-1.31228 - 2.27293i) q^{88} +(-7.04668 - 9.69893i) q^{89} +(4.68799 + 5.20654i) q^{90} +(17.6671 + 5.29788i) q^{91} +4.12096 q^{92} +(5.05440 - 0.432653i) q^{93} -1.08857 q^{94} +(-6.55745 - 20.1818i) q^{95} +(-0.677092 + 0.609657i) q^{96} +(10.4221 + 14.3448i) q^{97} +(-16.6006 + 9.58437i) q^{98} +(4.93196 + 2.84747i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 288 q + 72 q^{4} + 32 q^{9}+O(q^{10}) \) 288 * q + 72 * q^4 + 32 * q^9	\( 288 q + 72 q^{4} + 32 q^{9} - 10 q^{13} - 12 q^{14} - 72 q^{16} + 10 q^{17} - 6 q^{22} - 48 q^{23} + 104 q^{25} + 12 q^{26} - 18 q^{27} + 36 q^{29} + 64 q^{30} - 28 q^{35} + 128 q^{36} - 70 q^{38} + 12 q^{39} - 6 q^{42} - 56 q^{43} - 58 q^{49} - 26 q^{51} + 10 q^{52} - 6 q^{53} + 72 q^{55} + 2 q^{56} - 140 q^{61} + 16 q^{62} + 72 q^{64} - 4 q^{65} + 40 q^{68} + 96 q^{69} - 28 q^{74} - 166 q^{75} - 68 q^{77} + 60 q^{78} - 80 q^{79} - 76 q^{81} + 24 q^{87} - 14 q^{88} + 114 q^{90} - 12 q^{91} + 8 q^{92} - 24 q^{94} + 100 q^{95}+O(q^{100}) \) 288 * q + 72 * q^4 + 32 * q^9 - 10 * q^13 - 12 * q^14 - 72 * q^16 + 10 * q^17 - 6 * q^22 - 48 * q^23 + 104 * q^25 + 12 * q^26 - 18 * q^27 + 36 * q^29 + 64 * q^30 - 28 * q^35 + 128 * q^36 - 70 * q^38 + 12 * q^39 - 6 * q^42 - 56 * q^43 - 58 * q^49 - 26 * q^51 + 10 * q^52 - 6 * q^53 + 72 * q^55 + 2 * q^56 - 140 * q^61 + 16 * q^62 + 72 * q^64 - 4 * q^65 + 40 * q^68 + 96 * q^69 - 28 * q^74 - 166 * q^75 - 68 * q^77 + 60 * q^78 - 80 * q^79 - 76 * q^81 + 24 * q^87 - 14 * q^88 + 114 * q^90 - 12 * q^91 + 8 * q^92 - 24 * q^94 + 100 * q^95

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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