LMFDB - Embedded newform 197.2.h.a.10.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [197,2,Mod(4,197)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(197, base_ring=CyclotomicField(98))

chi = DirichletCharacter(H, H._module([1]))

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

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

chi := DirichletCharacter("197.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 197 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	197.h (of order $98$, degree $42$, 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:	$1.57305291982$
Analytic rank:	$0$
Dimension:	$672$
Relative dimension:	$16$ over $\Q(\zeta_{98})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{98}]$

Embedding invariants

Embedding label			10.4
Character	$\chi$	$=$	197.10
Dual form			197.2.h.a.138.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.225451 - 1.74855i) q^{2} +(-2.92137 - 1.07509i) q^{3} +(-1.07201 + 0.281114i) q^{4} +(-3.27929 + 1.45164i) q^{5} +(-1.22123 + 5.35054i) q^{6} +(2.37176 + 0.305805i) q^{7} +(-0.589983 - 1.45727i) q^{8} +(5.09425 + 4.33680i) q^{9} +(3.27759 + 5.40672i) q^{10} +(-0.555149 - 0.852858i) q^{11} +(3.43396 + 0.331270i) q^{12} +(0.146732 + 2.28547i) q^{13} -4.21609i q^{14} +(11.1407 - 0.715254i) q^{15} +(-4.34638 + 2.44784i) q^{16} +(-5.24965 - 0.168346i) q^{17} +(6.43460 - 9.88528i) q^{18} +(-2.68091 + 3.36176i) q^{19} +(3.10735 - 2.47803i) q^{20} +(-6.60003 - 3.44323i) q^{21} +(-1.36611 + 1.16298i) q^{22} +(2.63008 + 0.873245i) q^{23} +(0.156861 + 4.89151i) q^{24} +(5.28495 - 5.81932i) q^{25} +(3.96317 - 0.771828i) q^{26} +(-5.63705 - 10.0092i) q^{27} +(-2.62852 + 0.338910i) q^{28} +(-0.773595 + 8.01912i) q^{29} +(-3.76233 - 19.3188i) q^{30} +(-4.44523 + 4.59007i) q^{31} +(3.37940 + 4.52808i) q^{32} +(0.704896 + 3.08835i) q^{33} +(0.889174 + 9.21722i) q^{34} +(-8.22161 + 2.44013i) q^{35} +(-6.68021 - 3.21702i) q^{36} +(-9.28522 - 5.22934i) q^{37} +(6.48262 + 3.92980i) q^{38} +(2.02843 - 6.83445i) q^{39} +(4.05016 + 3.92236i) q^{40} +(-0.00682183 + 0.212730i) q^{41} +(-4.53268 + 12.3168i) q^{42} +(7.13294 - 4.64303i) q^{43} +(0.834875 + 0.758211i) q^{44} +(-23.0010 - 6.82657i) q^{45} +(0.933961 - 4.79569i) q^{46} +(-1.83602 - 2.63208i) q^{47} +(15.3290 - 2.47828i) q^{48} +(-1.23932 - 0.324989i) q^{49} +(-11.3669 - 7.92904i) q^{50} +(15.1552 + 6.13565i) q^{51} +(-0.799775 - 2.40879i) q^{52} +(-10.5161 - 2.04801i) q^{53} +(-16.2306 + 12.1132i) q^{54} +(3.05854 + 1.99089i) q^{55} +(-0.953660 - 3.63672i) q^{56} +(11.4461 - 6.93872i) q^{57} +(14.1962 - 0.455246i) q^{58} +(6.45354 - 10.6458i) q^{59} +(-11.7418 + 3.89855i) q^{60} +(-1.19703 - 3.25272i) q^{61} +(9.02814 + 6.73788i) q^{62} +(10.7561 + 11.8437i) q^{63} +(-0.0109617 + 0.0106158i) q^{64} +(-3.79886 - 7.28171i) q^{65} +(5.24121 - 1.92882i) q^{66} +(-3.96340 + 2.76469i) q^{67} +(5.67499 - 1.29528i) q^{68} +(-6.74461 - 5.37865i) q^{69} +(6.12026 + 13.8258i) q^{70} +(-8.65792 + 10.1701i) q^{71} +(3.31436 - 9.98233i) q^{72} +(0.479807 - 0.851946i) q^{73} +(-7.05040 + 17.4146i) q^{74} +(-21.6956 + 11.3186i) q^{75} +(1.92893 - 4.35748i) q^{76} +(-1.05587 - 2.19254i) q^{77} +(-12.4077 - 2.00598i) q^{78} +(0.955371 + 0.422914i) q^{79} +(10.6997 - 14.3366i) q^{80} +(2.50388 + 15.4874i) q^{81} +(0.373507 - 0.0360318i) q^{82} +(6.18522 + 7.75602i) q^{83} +(8.04323 + 1.83581i) q^{84} +(17.4595 - 7.06856i) q^{85} +(-9.72669 - 11.4255i) q^{86} +(10.8812 - 22.5951i) q^{87} +(-0.915315 + 1.31217i) q^{88} +(-0.795700 - 0.821625i) q^{89} +(-6.75102 + 41.7574i) q^{90} +(-0.350894 + 5.46546i) q^{91} +(-3.06495 - 0.196776i) q^{92} +(17.9209 - 8.63026i) q^{93} +(-4.18838 + 3.80378i) q^{94} +(3.91141 - 14.9159i) q^{95} +(-5.00437 - 16.8614i) q^{96} +(1.34593 - 2.57990i) q^{97} +(-0.288853 + 2.24029i) q^{98} +(0.870605 - 6.75224i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 672 q - 42 q^{2} - 42 q^{3} - 56 q^{4} - 42 q^{5} - 21 q^{6} - 56 q^{7} - 28 q^{8} - 42 q^{9} - 56 q^{10} - 28 q^{11} - 28 q^{12} - 42 q^{13} + 70 q^{15} - 56 q^{16} - 42 q^{17} - 21 q^{18} - 7 q^{19} - 49 q^{20}+ \cdots + 259 q^{99}+O(q^{100}) $ 672 * q - 42 * q^2 - 42 * q^3 - 56 * q^4 - 42 * q^5 - 21 * q^6 - 56 * q^7 - 28 * q^8 - 42 * q^9 - 56 * q^10 - 28 * q^11 - 28 * q^12 - 42 * q^13 + 70 * q^15 - 56 * q^16 - 42 * q^17 - 21 * q^18 - 7 * q^19 - 49 * q^20 - 42 * q^21 - 84 * q^22 - 42 * q^23 - 56 * q^24 - 42 * q^25 - 42 * q^26 + 119 * q^28 + 119 * q^29 + 77 * q^30 - 70 * q^31 - 56 * q^32 - 49 * q^33 - 70 * q^34 - 42 * q^35 - 301 * q^36 + 7 * q^37 - 28 * q^38 - 63 * q^39 - 56 * q^40 - 28 * q^41 + 112 * q^42 - 28 * q^43 + 126 * q^44 - 56 * q^45 - 56 * q^46 - 7 * q^47 + 42 * q^48 - 42 * q^49 - 182 * q^50 - 70 * q^51 + 49 * q^52 - 42 * q^53 - 63 * q^54 - 84 * q^55 + 77 * q^56 + 175 * q^57 + 126 * q^58 - 42 * q^59 + 84 * q^60 - 14 * q^61 - 56 * q^62 + 7 * q^63 - 14 * q^64 - 133 * q^65 + 63 * q^66 - 112 * q^67 - 49 * q^68 - 49 * q^69 + 168 * q^70 + 91 * q^71 + 392 * q^72 - 56 * q^73 - 56 * q^74 - 91 * q^75 - 161 * q^76 - 49 * q^77 + 84 * q^78 + 42 * q^79 - 70 * q^80 - 14 * q^81 - 42 * q^82 - 35 * q^83 + 245 * q^84 + 322 * q^85 + 63 * q^86 - 49 * q^87 - 133 * q^88 + 28 * q^89 + 196 * q^90 - 126 * q^91 - 7 * q^93 - 210 * q^94 + 84 * q^95 - 49 * q^96 - 42 * q^97 + 280 * q^98 + 259 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/197\mathbb{Z}\right)^\times$.

$n$	$2$
$\chi(n)$	$e\left(\frac{45}{98}\right)$

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 $

$2$	−0.225451	−	1.74855i	−0.159418	−	1.23641i	−0.855253	−	0.518210i	$-0.826598\pi$
$2$	−0.225451	−	1.74855i	−0.159418	−	1.23641i	0.695836	−	0.718201i	$-0.255034\pi$
$3$	−2.92137	−	1.07509i	−1.68665	−	0.620704i	−0.691806	−	0.722083i	$-0.743185\pi$
$3$	−2.92137	−	1.07509i	−1.68665	−	0.620704i	−0.994848	+	0.101379i	$0.967675\pi$
$4$	−1.07201	+	0.281114i	−0.536004	+	0.140557i
$5$	−3.27929	+	1.45164i	−1.46654	+	0.649195i	−0.975110	−	0.221721i	$-0.928832\pi$
$5$	−3.27929	+	1.45164i	−1.46654	+	0.649195i	−0.491432	+	0.870916i	$0.663526\pi$
$6$	−1.22123	+	5.35054i	−0.498564	+	2.18435i
$7$	2.37176	+	0.305805i	0.896442	+	0.115583i	0.562294	−	0.826937i	$-0.309919\pi$
$7$	2.37176	+	0.305805i	0.896442	+	0.115583i	0.334148	+	0.942521i	$0.391552\pi$
$8$	−0.589983	−	1.45727i	−0.208591	−	0.515223i
$9$	5.09425	+	4.33680i	1.69808	+	1.44560i
$10$	3.27759	+	5.40672i	1.03646	+	1.70976i
$11$	−0.555149	−	0.852858i	−0.167384	−	0.257146i	0.744475	−	0.667650i	$-0.232700\pi$
$11$	−0.555149	−	0.852858i	−0.167384	−	0.257146i	−0.911859	+	0.410504i	$0.865353\pi$
$12$	3.43396	+	0.331270i	0.991298	+	0.0956294i
$13$	0.146732	+	2.28547i	0.0406961	+	0.633875i	0.966628	+	0.256184i	$0.0824654\pi$
$13$	0.146732	+	2.28547i	0.0406961	+	0.633875i	−0.925932	+	0.377691i	$0.876718\pi$
$14$		−	4.21609i		−	1.12680i
$15$	11.1407	−	0.715254i	2.87651	−	0.184678i
$16$	−4.34638	+	2.44784i	−1.08660	+	0.611959i
$17$	−5.24965	−	0.168346i	−1.27323	−	0.0408299i	−0.611904	−	0.790932i	$-0.709596\pi$
$17$	−5.24965	−	0.168346i	−1.27323	−	0.0408299i	−0.661322	+	0.750102i	$0.730004\pi$
$18$	6.43460	−	9.88528i	1.51665	−	2.32998i
$19$	−2.68091	+	3.36176i	−0.615044	+	0.771241i	−0.987638	−	0.156754i	$-0.949897\pi$
$19$	−2.68091	+	3.36176i	−0.615044	+	0.771241i	0.372594	+	0.927995i	$0.378469\pi$
$20$	3.10735	−	2.47803i	0.694824	−	0.554104i
$21$	−6.60003	−	3.44323i	−1.44024	−	0.751375i
$22$	−1.36611	+	1.16298i	−0.291255	+	0.247949i
$23$	2.63008	+	0.873245i	0.548409	+	0.182084i	0.575874	−	0.817539i	$-0.304662\pi$
$23$	2.63008	+	0.873245i	0.548409	+	0.182084i	−0.0274652	+	0.999623i	$0.508744\pi$
$24$	0.156861	+	4.89151i	0.0320192	+	0.998476i
$25$	5.28495	−	5.81932i	1.05699	−	1.16386i
$26$	3.96317	−	0.771828i	0.777242	−	0.151368i
$27$	−5.63705	−	10.0092i	−1.08485	−	1.92626i
$28$	−2.62852	+	0.338910i	−0.496743	+	0.0640479i
$29$	−0.773595	+	8.01912i	−0.143653	+	1.48911i	0.588790	+	0.808286i	$0.299604\pi$
$29$	−0.773595	+	8.01912i	−0.143653	+	1.48911i	−0.732443	+	0.680828i	$0.761620\pi$
$30$	−3.76233	−	19.3188i	−0.686904	−	3.52711i
$31$	−4.44523	+	4.59007i	−0.798387	+	0.824400i	−0.987511	−	0.157553i	$-0.949639\pi$
$31$	−4.44523	+	4.59007i	−0.798387	+	0.824400i	0.189123	+	0.981953i	$0.439435\pi$
$32$	3.37940	+	4.52808i	0.597399	+	0.800460i
$33$	0.704896	+	3.08835i	0.122707	+	0.537613i
$34$	0.889174	+	9.21722i	0.152492	+	1.58074i
$35$	−8.22161	+	2.44013i	−1.38971	+	0.412457i
$36$	−6.68021	−	3.21702i	−1.11337	−	0.536170i
$37$	−9.28522	−	5.22934i	−1.52648	−	0.859698i	−0.999954	−	0.00953982i	$-0.996963\pi$
$37$	−9.28522	−	5.22934i	−1.52648	−	0.859698i	−0.526527	−	0.850158i	$-0.676506\pi$
$38$	6.48262	+	3.92980i	1.05162	+	0.637498i
$39$	2.02843	−	6.83445i	0.324809	−	1.09439i
$40$	4.05016	+	3.92236i	0.640387	+	0.620180i
$41$	−0.00682183	+	0.212730i	−0.00106539	+	0.0332228i	−0.999881	−	0.0154357i	$-0.995086\pi$
$41$	−0.00682183	+	0.212730i	−0.00106539	+	0.0332228i	0.998815	+	0.0486586i	$0.0154946\pi$
$42$	−4.53268	+	12.3168i	−0.699408	+	1.90052i
$43$	7.13294	−	4.64303i	1.08776	−	0.708055i	0.128824	−	0.991668i	$-0.458880\pi$
$43$	7.13294	−	4.64303i	1.08776	−	0.708055i	0.958939	+	0.283613i	$0.0915330\pi$
$44$	0.834875	+	0.758211i	0.125862	+	0.114305i
$45$	−23.0010	−	6.82657i	−3.42878	−	1.01765i
$46$	0.933961	−	4.79569i	0.137705	−	0.707086i
$47$	−1.83602	−	2.63208i	−0.267811	−	0.383928i	0.663485	−	0.748189i	$-0.269076\pi$
$47$	−1.83602	−	2.63208i	−0.267811	−	0.383928i	−0.931297	+	0.364262i	$0.881321\pi$
$48$	15.3290	−	2.47828i	2.21256	−	0.357709i
$49$	−1.23932	−	0.324989i	−0.177046	−	0.0464270i
$50$	−11.3669	−	7.92904i	−1.60752	−	1.12134i
$51$	15.1552	+	6.13565i	2.12215	+	0.859163i
$52$	−0.799775	−	2.40879i	−0.110909	−	0.334040i
$53$	−10.5161	−	2.04801i	−1.44450	−	0.281316i	−0.592800	−	0.805350i	$-0.701978\pi$
$53$	−10.5161	−	2.04801i	−1.44450	−	0.281316i	−0.851698	+	0.524034i	$0.824427\pi$
$54$	−16.2306	+	12.1132i	−2.20871	+	1.64840i
$55$	3.05854	+	1.99089i	0.412413	+	0.268451i
$56$	−0.953660	−	3.63672i	−0.127438	−	0.485977i
$57$	11.4461	−	6.93872i	1.51608	−	0.919056i
$58$	14.1962	−	0.455246i	1.86406	−	0.0597767i
$59$	6.45354	−	10.6458i	0.840180	−	1.38596i	−0.0809542	−	0.996718i	$-0.525797\pi$
$59$	6.45354	−	10.6458i	0.840180	−	1.38596i	0.921134	−	0.389246i	$-0.127264\pi$
$60$	−11.7418	+	3.89855i	−1.51586	+	0.503301i
$61$	−1.19703	−	3.25272i	−0.153264	−	0.416468i	0.838442	−	0.544990i	$-0.183467\pi$
$61$	−1.19703	−	3.25272i	−0.153264	−	0.416468i	−0.991707	+	0.128522i	$0.958977\pi$
$62$	9.02814	+	6.73788i	1.14657	+	0.855711i
$63$	10.7561	+	11.8437i	1.35515	+	1.49217i
$64$	−0.0109617	+	0.0106158i	−0.00137021	+	0.00132698i
$65$	−3.79886	−	7.28171i	−0.471191	−	0.903184i
$66$	5.24121	−	1.92882i	0.645149	−	0.237421i
$67$	−3.96340	+	2.76469i	−0.484206	+	0.337761i	−0.788726	−	0.614745i	$-0.789259\pi$
$67$	−3.96340	+	2.76469i	−0.484206	+	0.337761i	0.304520	+	0.952506i	$0.401504\pi$
$68$	5.67499	−	1.29528i	0.688194	−	0.157076i
$69$	−6.74461	−	5.37865i	−0.811955	−	0.647513i
$70$	6.12026	+	13.8258i	0.731511	+	1.65250i
$71$	−8.65792	+	10.1701i	−1.02751	+	1.20697i	−0.0494178	+	0.998778i	$0.515737\pi$
$71$	−8.65792	+	10.1701i	−1.02751	+	1.20697i	−0.978089	+	0.208189i	$0.933243\pi$
$72$	3.31436	−	9.98233i	0.390601	−	1.17643i
$73$	0.479807	−	0.851946i	0.0561572	−	0.0997128i	−0.841813	−	0.539770i	$-0.818511\pi$
$73$	0.479807	−	0.851946i	0.0561572	−	0.0997128i	0.897970	+	0.440057i	$0.145042\pi$
$74$	−7.05040	+	17.4146i	−0.819593	+	2.02441i
$75$	−21.6956	+	11.3186i	−2.50519	+	1.30696i
$76$	1.92893	−	4.35748i	0.221263	−	0.499837i
$77$	−1.05587	−	2.19254i	−0.120328	−	0.249863i
$78$	−12.4077	−	2.00598i	−1.40489	−	0.227132i
$79$	0.955371	+	0.422914i	0.107488	+	0.0475816i	0.457827	−	0.889041i	$-0.348628\pi$
$79$	0.955371	+	0.422914i	0.107488	+	0.0475816i	−0.350340	+	0.936623i	$0.613934\pi$
$80$	10.6997	−	14.3366i	1.19626	−	1.60288i
$81$	2.50388	+	15.4874i	0.278209	+	1.72082i
$82$	0.373507	−	0.0360318i	0.0412469	−	0.00397904i
$83$	6.18522	+	7.75602i	0.678916	+	0.851334i	0.995254	−	0.0973129i	$-0.0310248\pi$
$83$	6.18522	+	7.75602i	0.678916	+	0.851334i	−0.316338	+	0.948647i	$0.602453\pi$
$84$	8.04323	+	1.83581i	0.877588	+	0.200304i
$85$	17.4595	−	7.06856i	1.89375	−	0.766693i
$86$	−9.72669	−	11.4255i	−1.04886	−	1.23205i
$87$	10.8812	−	22.5951i	1.16659	−	2.42245i
$88$	−0.915315	+	1.31217i	−0.0975729	+	0.139878i
$89$	−0.795700	−	0.821625i	−0.0843440	−	0.0870921i	0.674856	−	0.737949i	$-0.264206\pi$
$89$	−0.795700	−	0.821625i	−0.0843440	−	0.0870921i	−0.759200	+	0.650857i	$0.774410\pi$
$90$	−6.75102	+	41.7574i	−0.711620	+	4.40162i
$91$	−0.350894	+	5.46546i	−0.0367837	+	0.572936i
$92$	−3.06495	−	0.196776i	−0.319543	−	0.0205153i
$93$	17.9209	−	8.63026i	1.85831	−	0.894916i
$94$	−4.18838	+	3.80378i	−0.431999	+	0.392330i
$95$	3.91141	−	14.9159i	0.401303	−	1.53034i
$96$	−5.00437	−	16.8614i	−0.510756	−	1.72091i
$97$	1.34593	−	2.57990i	0.136659	−	0.261949i	−0.808542	−	0.588438i	$-0.799743\pi$
$97$	1.34593	−	2.57990i	0.136659	−	0.261949i	0.945201	+	0.326489i	$0.105866\pi$
$98$	−0.288853	+	2.24029i	−0.0291786	+	0.226303i
$99$	0.870605	−	6.75224i	0.0874990	−	0.678625i
$100$	−4.02963	+	7.72404i	−0.402963	+	0.772404i
$101$	0.525686	+	1.77121i	0.0523077	+	0.176242i	0.980763	−	0.195202i	$-0.0625362\pi$
$101$	0.525686	+	1.77121i	0.0523077	+	0.176242i	−0.928455	+	0.371444i	$0.878863\pi$
$102$	7.31175	−	27.8829i	0.723971	−	2.76082i
$103$	2.17386	−	1.97424i	0.214197	−	0.194528i	−0.558130	−	0.829754i	$-0.688481\pi$
$103$	2.17386	−	1.97424i	0.214197	−	0.194528i	0.772326	+	0.635226i	$0.219093\pi$
$104$	3.24397	−	1.56222i	0.318098	−	0.153188i
$105$	26.6417	+	1.71046i	2.59997	+	0.166923i
$106$	−1.21019	+	18.8497i	−0.117544	+	1.83084i
$107$	−0.789501	+	4.88334i	−0.0763240	+	0.472091i	0.920384	+	0.391016i	$0.127876\pi$
$107$	−0.789501	+	4.88334i	−0.0763240	+	0.472091i	−0.996708	+	0.0810750i	$0.974165\pi$
$108$	8.85668	+	9.14525i	0.852235	+	0.880002i
$109$	−6.48940	+	9.30304i	−0.621572	+	0.891070i	−0.999394	−	0.0348083i	$-0.988918\pi$
$109$	−6.48940	+	9.30304i	−0.621572	+	0.891070i	0.377822	+	0.925878i	$0.376673\pi$
$110$	2.79162	−	5.79685i	0.266170	−	0.552708i
$111$	21.5036	+	25.2593i	2.04103	+	2.39751i
$112$	−11.0571	+	4.47654i	−1.04480	+	0.422994i
$113$	5.90313	+	1.34735i	0.555320	+	0.126748i	0.490966	−	0.871179i	$-0.336644\pi$
$113$	5.90313	+	1.34735i	0.555320	+	0.126748i	0.0643544	+	0.997927i	$0.479501\pi$
$114$	−14.7132	−	18.4498i	−1.37802	−	1.72798i
$115$	−9.89242	+	0.954309i	−0.922472	+	0.0889898i
$116$	−1.42499	−	8.81404i	−0.132307	−	0.818363i
$117$	−9.16412	+	12.2791i	−0.847223	+	1.13520i
$118$	−20.0697	−	8.88424i	−1.84756	−	0.817861i
$119$	−12.3994	−	2.00464i	−1.13665	−	0.183765i
$120$	−7.61512	−	15.8130i	−0.695162	−	1.44352i
$121$	4.03344	−	9.11161i	0.366676	−	0.828328i
$122$	−5.41768	+	2.82640i	−0.490493	+	0.255890i
$123$	0.248633	−	0.614129i	0.0224185	−	0.0553741i
$124$	3.47500	−	6.17021i	0.312064	−	0.554101i
$125$	−3.23306	+	9.73747i	−0.289174	+	0.870946i
$126$	18.2843	−	21.4778i	1.62890	−	1.91339i
$127$	3.33821	+	7.54107i	0.296218	+	0.669162i	0.999112	−	0.0421327i	$-0.0134152\pi$
$127$	3.33821	+	7.54107i	0.296218	+	0.669162i	−0.702894	+	0.711295i	$0.748109\pi$
$128$	8.85592	+	7.06236i	0.782760	+	0.624230i
$129$	−25.8296	+	5.89544i	−2.27417	+	0.519065i
$130$	−11.8760	+	8.28416i	−1.04159	+	0.726569i
$131$	−2.21693	+	0.815850i	−0.193694	+	0.0712811i	−0.440368	−	0.897817i	$-0.645152\pi$
$131$	−2.21693	+	0.815850i	−0.193694	+	0.0712811i	0.246674	+	0.969098i	$0.420662\pi$
$132$	−1.62383	−	3.11258i	−0.141336	−	0.270915i
$133$	−7.38654	+	7.15346i	−0.640494	+	0.620284i
$134$	5.72776	+	6.30690i	0.494803	+	0.544833i
$135$	33.0152	+	24.6399i	2.84150	+	2.12067i
$136$	2.85188	+	7.74947i	0.244547	+	0.664512i
$137$	−14.6644	+	4.86891i	−1.25286	+	0.415979i	−0.863145	−	0.504956i	$-0.831509\pi$
$137$	−14.6644	+	4.86891i	−1.25286	+	0.415979i	−0.389717	+	0.920935i	$0.627427\pi$
$138$	−7.88425	+	13.0059i	−0.671152	+	1.10714i
$139$	−1.57409	+	0.0504779i	−0.133512	+	0.00428148i	−0.0987361	−	0.995114i	$-0.531480\pi$
$139$	−1.57409	+	0.0504779i	−0.133512	+	0.00428148i	−0.0347761	+	0.999395i	$0.511072\pi$
$140$	8.12768	−	4.92705i	0.686915	−	0.416412i
$141$	2.53398	+	9.66316i	0.213400	+	0.813785i
$142$	19.7348	+	12.8460i	1.65611	+	1.07801i
$143$	1.86772	−	1.39392i	0.156187	−	0.116565i
$144$	−32.7573	−	6.37949i	−2.72978	−	0.531624i
$145$	−9.10406	−	27.4200i	−0.756051	−	2.27711i
$146$	−1.59784	−	0.646895i	−0.132238	−	0.0535374i
$147$	3.27113	+	2.28180i	0.269798	+	0.188200i
$148$	11.4239	+	2.99569i	0.939037	+	0.246245i
$149$	11.5473	−	1.86687i	0.945988	−	0.152940i	0.332907	−	0.942960i	$-0.391971\pi$
$149$	11.5473	−	1.86687i	0.945988	−	0.152940i	0.613081	+	0.790020i	$0.289930\pi$
$150$	24.6824	+	35.3841i	2.01531	+	2.88910i
$151$	−1.01821	+	5.22827i	−0.0828604	+	0.425471i	0.916798	+	0.399350i	$0.130764\pi$
$151$	−1.01821	+	5.22827i	−0.0828604	+	0.425471i	−0.999659	+	0.0261204i	$0.991685\pi$
$152$	6.48069	+	1.92343i	0.525653	+	0.156011i
$153$	−26.0129	−	23.6242i	−2.10302	−	1.90991i
$154$	−3.59572	+	2.34056i	−0.289752	+	0.188607i
$155$	7.91405	−	21.5050i	0.635672	−	1.72733i
$156$	−0.253235	+	7.89681i	−0.0202751	+	0.632251i
$157$	−9.23392	−	8.94255i	−0.736947	−	0.713693i	0.228716	−	0.973493i	$-0.426547\pi$
$157$	−9.23392	−	8.94255i	−0.736947	−	0.713693i	−0.965662	+	0.259800i	$0.916343\pi$
$158$	0.524098	−	1.76586i	0.0416950	−	0.140484i
$159$	28.5196	+	17.2888i	2.26175	+	1.37109i
$160$	−17.6552	−	9.94321i	−1.39576	−	0.786080i
$161$	5.97087	+	2.87542i	0.470571	+	0.226615i
$162$	26.5160	−	7.86980i	2.08329	−	0.618310i
$163$	−1.13513	−	11.7668i	−0.0889104	−	0.921649i	−0.926736	−	0.375712i	$-0.877398\pi$
$163$	−1.13513	−	11.7668i	−0.0889104	−	0.921649i	0.837826	−	0.545937i	$-0.183826\pi$
$164$	−0.0524882	−	0.229966i	−0.00409864	−	0.0179573i
$165$	−6.79474	−	9.10433i	−0.528970	−	0.708771i
$166$	12.1673	−	12.5638i	0.944368	−	0.975137i
$167$	−2.40626	−	12.3556i	−0.186202	−	0.956107i	−0.950378	−	0.311099i	$-0.899303\pi$
$167$	−2.40626	−	12.3556i	−0.186202	−	0.956107i	0.764176	−	0.645008i	$-0.223146\pi$
$168$	−1.12381	+	11.6495i	−0.0867039	+	0.898776i
$169$	7.69143	−	0.991701i	0.591649	−	0.0762847i
$170$	−16.2960	−	28.9352i	−1.24984	−	2.21923i
$171$	−28.2365	+	5.49906i	−2.15930	+	0.420524i
$172$	−6.34135	+	6.98253i	−0.483523	+	0.532413i
$173$	0.334163	+	10.4204i	0.0254059	+	0.792251i	0.930340	+	0.366699i	$0.119512\pi$
$173$	0.334163	+	10.4204i	0.0254059	+	0.792251i	−0.904934	+	0.425552i	$0.860080\pi$
$174$	−41.9619	−	13.9323i	−3.18112	−	1.05621i
$175$	14.3142	−	12.1859i	1.08205	−	0.921166i
$176$	4.50055	+	2.34793i	0.339241	+	0.176982i
$177$	−30.2984	+	24.1622i	−2.27737	+	1.81614i
$178$	−1.25726	+	1.57656i	−0.0942358	+	0.118168i
$179$	2.09690	−	3.22141i	0.156730	−	0.240779i	−0.751031	−	0.660267i	$-0.770443\pi$
$179$	2.09690	−	3.22141i	0.156730	−	0.240779i	0.907761	+	0.419488i	$0.137790\pi$
$180$	26.5763	+	0.852250i	1.98088	+	0.0635230i
$181$	−11.4506	+	6.44884i	−0.851114	+	0.479339i	−0.853765	−	0.520658i	$-0.825687\pi$
$181$	−11.4506	+	6.44884i	−0.851114	+	0.479339i	0.00265118	+	0.999996i	$0.499156\pi$
$182$	9.63574	−	0.618635i	0.714248	−	0.0458563i
$183$			10.7893i			0.797570i
$184$	−0.279146	−	4.34793i	−0.0205789	−	0.320534i
$185$	38.0401	+	3.66968i	2.79676	+	0.269800i
$186$	−19.1307	−	29.3899i	−1.40273	−	2.15497i
$187$	2.77076	+	4.57066i	0.202618	+	0.334240i
$188$	2.70814	+	2.30548i	0.197512	+	0.168144i
$189$	−10.3089	−	25.4632i	−0.749862	−	1.85217i
$190$	−26.9630	−	3.47650i	−1.95611	−	0.252212i
$191$	4.76368	−	20.8710i	0.344687	−	1.51017i	−0.444363	−	0.895847i	$-0.646570\pi$
$191$	4.76368	−	20.8710i	0.344687	−	1.51017i	0.789051	−	0.614328i	$-0.210573\pi$
$192$	0.0434362	−	0.0192279i	0.00313474	−	0.00138766i
$193$	−21.9874	+	5.76576i	−1.58268	+	0.415029i	−0.937213	−	0.348756i	$-0.886604\pi$
$193$	−21.9874	+	5.76576i	−1.58268	+	0.415029i	−0.645471	+	0.763785i	$0.723339\pi$
$194$	−4.81452	−	1.77179i	−0.345663	−	0.127207i
$195$	3.26938	+	25.3567i	0.234125	+	1.81583i
$196$	1.41993			0.101423
$197$	−13.7783	+	2.67569i	−0.981661	+	0.190635i
$197$	−13.7783	+	2.67569i	−0.981661	+	0.190635i
$198$	−12.0029			−0.853009
$199$	−2.61483	−	20.2801i	−0.185360	−	1.43762i	−0.776027	−	0.630700i	$-0.782768\pi$
$199$	−2.61483	−	20.2801i	−0.185360	−	1.43762i	0.590666	−	0.806916i	$-0.298865\pi$
$200$	−11.5984	−	4.26830i	−0.820128	−	0.301815i
$201$	14.5509	−	3.81568i	1.02634	−	0.269138i
$202$	2.97853	−	1.31851i	0.209569	−	0.0927699i
$203$	−4.28707	+	18.7829i	−0.300893	+	1.31830i
$204$	−17.9713	−	2.31714i	−1.25824	−	0.162232i
$205$	−0.286437	−	0.707505i	−0.0200056	−	0.0494143i
$206$	−3.94216	−	3.35601i	−0.274663	−	0.233824i
$207$	9.61117	+	15.8546i	0.668023	+	1.10197i
$208$	−6.23221	−	9.57434i	−0.432126	−	0.663861i
$209$	4.35541	+	0.420161i	0.301270	+	0.0290632i
$210$	−3.01558	−	46.9700i	−0.208095	−	3.24124i
$211$		−	10.4248i		−	0.717671i	−0.933401	−	0.358836i	$-0.883174\pi$
$211$		−	10.4248i		−	0.717671i	0.933401	−	0.358836i	$-0.116826\pi$
$212$	11.8491	−	0.760736i	0.813798	−	0.0522476i
$213$	36.2268	−	20.4025i	2.48222	−	1.39796i
$214$	8.71676	+	0.279530i	0.595866	+	0.0191083i
$215$	−16.6509	+	25.5803i	−1.13558	+	1.74456i
$216$	−11.2603	+	14.1199i	−0.766165	+	0.960740i
$217$	−11.9467	+	9.52717i	−0.810995	+	0.646747i
$218$	17.7299	+	9.24966i	1.20082	+	0.626466i
$219$	−2.31762	+	1.97301i	−0.156610	+	0.133324i
$220$	−3.83845	−	1.27445i	−0.258788	−	0.0859235i
$221$	−0.385542	−	12.0226i	−0.0259343	−	0.808728i
$222$	39.3192	−	43.2948i	2.63893	−	2.90576i
$223$	−5.36775	+	1.04537i	−0.359451	+	0.0700031i	−0.367653	−	0.929963i	$-0.619838\pi$
$223$	−5.36775	+	1.04537i	−0.359451	+	0.0700031i	0.00820123	+	0.999966i	$0.497389\pi$
$224$	6.63042	+	11.7730i	0.443013	+	0.786615i
$225$	52.1601	−	6.72530i	3.47734	−	0.448353i
$226$	1.02505	−	10.6257i	0.0681851	−	0.706810i
$227$	−2.92619	−	15.0254i	−0.194218	−	0.997269i	−0.942580	−	0.333979i	$-0.891608\pi$
$227$	−2.92619	−	15.0254i	−0.194218	−	0.997269i	0.748362	−	0.663290i	$-0.230840\pi$
$228$	−10.3198	+	10.6560i	−0.683445	+	0.705714i
$229$	16.5586	+	22.1870i	1.09422	+	1.46616i	0.870928	+	0.491411i	$0.163519\pi$
$229$	16.5586	+	22.1870i	1.09422	+	1.46616i	0.223297	+	0.974751i	$0.428318\pi$
$230$	3.89891	+	17.0822i	0.257086	+	1.12637i
$231$	0.727412	+	7.54039i	0.0478602	+	0.496121i
$232$	12.1424	−	3.60381i	0.797190	−	0.236602i
$233$	16.6688	+	8.02725i	1.09201	+	0.525883i	0.891137	−	0.453735i	$-0.149909\pi$
$233$	16.6688	+	8.02725i	1.09201	+	0.525883i	0.200870	+	0.979618i	$0.435623\pi$
$234$	23.5367	+	13.2556i	1.53864	+	0.866546i
$235$	9.84168	+	5.96608i	0.642000	+	0.389184i
$236$	−3.92557	+	13.2266i	−0.255533	+	0.860976i
$237$	−2.33632	−	2.26260i	−0.151760	−	0.146972i
$238$	−0.709761	+	22.1330i	−0.0460070	+	1.43467i
$239$	−1.34375	+	3.65141i	−0.0869201	+	0.236190i	−0.974468	−	0.224525i	$-0.927917\pi$
$239$	−1.34375	+	3.65141i	−0.0869201	+	0.236190i	0.887548	+	0.460715i	$0.152407\pi$
$240$	−46.6708	+	30.3793i	−3.01258	+	1.96098i
$241$	2.56657	+	2.33089i	0.165327	+	0.150146i	0.750760	−	0.660575i	$-0.229688\pi$
$241$	2.56657	+	2.33089i	0.165327	+	0.150146i	−0.585433	+	0.810721i	$0.699075\pi$
$242$	−16.8415	−	4.99845i	−1.08261	−	0.321313i
$243$	2.74787	−	14.1097i	0.176276	−	0.905138i
$244$	2.19761	+	3.15044i	0.140688	+	0.201687i
$245$	4.53587	−	0.733324i	0.289786	−	0.0468504i
$246$	−1.12989	−	0.296292i	−0.0720391	−	0.0188909i
$247$	−8.07657	−	5.63387i	−0.513900	−	0.358474i
$248$	9.31158	+	3.76984i	0.591286	+	0.239385i
$249$	−9.73089	−	29.3079i	−0.616670	−	1.85731i
$250$	17.7553	+	3.45785i	1.12295	+	0.218694i
$251$	6.74171	−	5.03147i	0.425533	−	0.317584i	−0.363880	−	0.931446i	$-0.618548\pi$
$251$	6.74171	−	5.03147i	0.425533	−	0.317584i	0.789413	+	0.613862i	$0.210385\pi$
$252$	−14.8601	−	9.67285i	−0.936098	−	0.609332i
$253$	−0.715330	−	2.72786i	−0.0449724	−	0.171499i
$254$	12.4333	−	7.53717i	0.780137	−	0.472924i
$255$	−58.6050	+	1.87935i	−3.66999	+	0.117689i
$256$	10.3365	−	17.0511i	0.646031	−	1.06570i
$257$	−22.5476	+	7.48631i	−1.40648	+	0.466983i	−0.914840	−	0.403816i	$-0.867683\pi$
$257$	−22.5476	+	7.48631i	−1.40648	+	0.466983i	−0.491639	+	0.870799i	$0.663602\pi$
$258$	16.1318	+	43.8353i	1.00432	+	2.72906i
$259$	−20.4232	−	15.2422i	−1.26904	−	0.947105i
$260$	6.11940	+	6.73814i	0.379509	+	0.417882i
$261$	−38.7182	+	37.4965i	−2.39660	+	2.32097i
$262$	1.92636	+	3.69247i	0.119011	+	0.228122i
$263$	−8.03445	+	2.95675i	−0.495425	+	0.182321i	−0.580829	−	0.814025i	$-0.697272\pi$
$263$	−8.03445	+	2.95675i	−0.495425	+	0.182321i	0.0854042	+	0.996346i	$0.472782\pi$
$264$	4.08468	−	2.84930i	0.251395	−	0.175362i
$265$	37.4583	−	8.54961i	2.30105	−	0.525199i
$266$	14.1735	+	11.3030i	0.869032	+	0.693030i
$267$	1.44121	+	3.25572i	0.0882007	+	0.199247i
$268$	3.47160	−	4.07794i	0.212062	−	0.249100i
$269$	−2.32688	+	7.00820i	−0.141873	+	0.427298i	−0.995631	−	0.0933711i	$-0.970236\pi$
$269$	−2.32688	+	7.00820i	−0.141873	+	0.427298i	0.853759	+	0.520669i	$0.174317\pi$
$270$	35.6408	−	63.2839i	2.16903	−	3.85133i
$271$	4.06462	−	10.0397i	0.246908	−	0.609867i	−0.751869	−	0.659313i	$-0.770847\pi$
$271$	4.06462	−	10.0397i	0.246908	−	0.609867i	0.998777	+	0.0494453i	$0.0157453\pi$
$272$	23.2291	−	12.1186i	1.40847	−	0.734797i
$273$	6.90096	−	15.5894i	0.417665	−	0.943513i
$274$	11.8196	+	24.5437i	0.714049	+	1.48274i
$275$	−7.89699	−	1.27672i	−0.476206	−	0.0769894i
$276$	8.74229	+	3.86995i	0.526224	+	0.232944i
$277$	5.81242	−	7.78811i	0.349234	−	0.467942i	−0.591882	−	0.806024i	$-0.701615\pi$
$277$	5.81242	−	7.78811i	0.349234	−	0.467942i	0.941117	+	0.338082i	$0.109778\pi$
$278$	0.443142	+	2.74099i	0.0265779	+	0.164394i
$279$	−42.5513	+	4.10487i	−2.54748	+	0.245752i
$280$	8.40654	+	10.5415i	0.502387	+	0.629973i
$281$	6.49501	+	1.48244i	0.387460	+	0.0884351i	0.411813	−	0.911268i	$-0.364896\pi$
$281$	6.49501	+	1.48244i	0.387460	+	0.0884351i	−0.0243537	+	0.999703i	$0.507753\pi$
$282$	16.3252	−	6.60935i	0.972153	−	0.393581i
$283$	6.94055	+	8.15276i	0.412573	+	0.484631i	0.928147	−	0.372213i	$-0.121401\pi$
$283$	6.94055	+	8.15276i	0.412573	+	0.484631i	−0.515574	+	0.856845i	$0.672421\pi$
$284$	6.42242	−	13.3363i	0.381100	−	0.791363i
$285$	−27.4627	+	39.3698i	−1.62675	+	2.33206i
$286$	−2.85841	−	2.95154i	−0.169021	−	0.174528i
$287$	−0.0812336	+	0.502459i	−0.00479507	+	0.0296592i
$288$	−2.42189	+	37.7229i	−0.142711	+	2.22285i
$289$	10.5654	+	0.678320i	0.621493	+	0.0399012i
$290$	−45.8927	+	22.1008i	−2.69491	+	1.29780i
$291$	−6.70559	+	6.08984i	−0.393089	+	0.356993i
$292$	−0.274864	+	1.04817i	−0.0160852	+	0.0613398i
$293$	5.99216	+	20.1896i	0.350066	+	1.17949i	0.930841	+	0.365423i	$0.119076\pi$
$293$	5.99216	+	20.1896i	0.350066	+	1.17949i	−0.580776	+	0.814064i	$0.697251\pi$
$294$	3.25236	−	6.23417i	0.189682	−	0.363584i
$295$	−5.70913	+	44.2789i	−0.332398	+	2.57801i
$296$	−2.14243	+	16.6163i	−0.124526	+	0.965803i
$297$	−5.40698	+	10.3642i	−0.313745	+	0.601390i
$298$	−5.86765	−	19.7701i	−0.339904	−	1.14525i
$299$	−1.60986	+	6.13909i	−0.0931005	+	0.355033i
$300$	20.0761	−	18.2326i	1.15909	−	1.05266i
$301$	18.3375	−	8.83087i	1.05696	−	0.509003i
$302$	9.37145	+	0.601667i	0.539266	+	0.0346220i
$303$	0.368490	−	5.73952i	0.0211692	−	0.329727i
$304$	3.42324	−	21.1739i	0.196336	−	1.21441i
$305$	8.64720	+	8.92895i	0.495137	+	0.511270i
$306$	−35.4435	+	50.8110i	−2.02617	+	2.90467i
$307$	5.26792	−	10.9390i	0.300656	−	0.624319i	−0.694835	−	0.719169i	$-0.744523\pi$
$307$	5.26792	−	10.9390i	0.300656	−	0.624319i	0.995492	+	0.0948498i	$0.0302371\pi$
$308$	1.74826	+	2.05360i	0.0996163	+	0.117015i
$309$	−8.47314	+	3.43039i	−0.482020	+	0.195148i
$310$	−39.3869	−	8.98979i	−2.23702	−	0.510586i
$311$	11.0847	+	13.8998i	0.628556	+	0.788184i	0.989520	−	0.144396i	$-0.0461238\pi$
$311$	11.0847	+	13.8998i	0.628556	+	0.788184i	−0.360964	+	0.932580i	$0.617552\pi$
$312$	−11.1564	+	1.07624i	−0.631606	+	0.0609302i
$313$	2.87392	+	17.7762i	0.162444	+	1.00477i	0.931008	+	0.364999i	$0.118931\pi$
$313$	2.87392	+	17.7762i	0.162444	+	1.00477i	−0.768564	+	0.639773i	$0.779028\pi$
$314$	−13.5547	+	18.1621i	−0.764936	+	1.02494i
$315$	−52.4653	−	23.2248i	−2.95608	−	1.30857i
$316$	−1.14305	−	0.184800i	−0.0643018	−	0.0103958i
$317$	4.92343	+	10.2236i	0.276528	+	0.574215i	0.992263	−	0.124156i	$-0.0396225\pi$
$317$	4.92343	+	10.2236i	0.276528	+	0.574215i	−0.715735	+	0.698372i	$0.753908\pi$
$318$	23.8005	−	53.7658i	1.33467	−	3.01503i
$319$	7.26863	−	3.79204i	0.406965	−	0.212313i
$320$	0.0205362	−	0.0507249i	0.00114801	−	0.00283561i
$321$	7.55647	−	13.4173i	0.421761	−	0.748879i
$322$	3.68168	−	11.0886i	0.205172	−	0.617945i
$323$	14.6398	−	17.1967i	0.814580	−	0.956852i
$324$	−7.03790	−	15.8987i	−0.390994	−	0.883263i
$325$	14.0753	+	11.2247i	0.780760	+	0.622635i
$326$	−20.3190	+	4.63767i	−1.12536	+	0.256857i
$327$	28.9596	−	20.2009i	1.60147	−	1.11711i
$328$	0.314030	−	0.115566i	0.0173394	−	0.00638105i
$329$	−3.54971	−	6.80412i	−0.195702	−	0.375123i
$330$	−14.3875	+	13.9335i	−0.792006	+	0.767015i
$331$	−14.9099	−	16.4175i	−0.819522	−	0.902385i	0.177126	−	0.984188i	$-0.443320\pi$
$331$	−14.9099	−	16.4175i	−0.819522	−	0.902385i	−0.996648	+	0.0818033i	$0.973932\pi$
$332$	−8.81093	−	6.57577i	−0.483563	−	0.360892i
$333$	−24.6226	−	66.9077i	−1.34931	−	3.66652i
$334$	−21.0619	+	6.99304i	−1.15246	+	0.382642i
$335$	8.98377	−	14.8197i	0.490836	−	0.809685i
$336$	37.1147	−	1.19020i	2.02477	−	0.0649306i
$337$	−18.2199	+	11.0450i	−0.992503	+	0.601661i	−0.918426	−	0.395592i	$-0.870540\pi$
$337$	−18.2199	+	11.0450i	−0.992503	+	0.601661i	−0.0740761	+	0.997253i	$0.523601\pi$
$338$	−3.46808	−	13.2253i	−0.188638	−	0.719360i
$339$	−15.7967	−	10.2825i	−0.857960	−	0.558470i
$340$	−16.7296	+	12.4857i	−0.907293	+	0.677130i
$341$	6.38244	+	1.24298i	0.345628	+	0.0673111i
$342$	15.9813	+	48.1332i	0.864171	+	2.60275i
$343$	−18.3564	−	7.43167i	−0.991151	−	0.401273i
$344$	−10.9745	−	7.65530i	−0.591703	−	0.412746i
$345$	29.9254	+	7.84736i	1.61113	+	0.422488i
$346$	18.1453	−	2.93359i	0.975498	−	0.157711i
$347$	4.40043	+	6.30835i	0.236228	+	0.338650i	0.920617	−	0.390467i	$-0.127686\pi$
$347$	4.40043	+	6.30835i	0.236228	+	0.338650i	−0.684389	+	0.729117i	$0.739931\pi$
$348$	−5.31299	+	27.2811i	−0.284806	+	1.46242i
$349$	30.5738	+	9.07414i	1.63658	+	0.485728i	0.966522	−	0.256584i	$-0.0825969\pi$
$349$	30.5738	+	9.07414i	1.63658	+	0.485728i	0.670055	+	0.742311i	$0.266270\pi$
$350$	−24.5348	−	22.2818i	−1.31144	−	1.19101i
$351$	22.0485	−	14.3520i	1.17686	−	0.766051i
$352$	1.98574	−	5.39591i	0.105840	−	0.287603i
$353$	0.425142	−	13.2575i	0.0226280	−	0.705625i	−0.923831	−	0.382801i	$-0.874960\pi$
$353$	0.425142	−	13.2575i	0.0226280	−	0.705625i	0.946459	−	0.322824i	$-0.104632\pi$
$354$	49.0795	+	47.5309i	2.60855	+	2.52624i
$355$	13.6285	−	45.9189i	0.723324	−	2.43712i
$356$	1.08397	+	0.657107i	0.0574502	+	0.0348266i
$357$	34.0682	+	19.1868i	1.80308	+	1.01548i
$358$	−6.10554	−	2.94027i	−0.322688	−	0.155398i
$359$	−10.6260	+	3.15373i	−0.560818	+	0.166448i	−0.552493	−	0.833518i	$-0.686323\pi$
$359$	−10.6260	+	3.15373i	−0.560818	+	0.166448i	−0.00832474	+	0.999965i	$0.502650\pi$
$360$	3.62204	+	37.5462i	0.190898	+	1.97886i
$361$	0.113766	+	0.498441i	0.00598768	+	0.0262337i
$362$	13.8577	+	18.5680i	0.728342	+	0.975912i
$363$	−21.5790	+	22.2821i	−1.13260	+	1.16951i
$364$	−1.16025	−	5.95766i	−0.0608139	−	0.312266i
$365$	−0.336704	+	3.49029i	−0.0176239	+	0.182690i
$366$	18.8657	−	2.43246i	0.986125	−	0.127147i
$367$	13.8963	+	24.6743i	0.725382	+	1.28799i	0.949604	+	0.313451i	$0.101485\pi$
$367$	13.8963	+	24.6743i	0.725382	+	1.28799i	−0.224223	+	0.974538i	$0.571984\pi$
$368$	−13.5689	+	2.64254i	−0.707327	+	0.137752i
$369$	−0.957318	+	1.05411i	−0.0498360	+	0.0548750i
$370$	−2.15954	−	67.3423i	−0.112269	−	3.50096i
$371$	−24.3154	−	8.07327i	−1.26239	−	0.419143i
$372$	−16.7853	+	14.2895i	−0.870277	+	0.740877i
$373$	0.910065	+	0.474780i	0.0471214	+	0.0245832i	0.485936	−	0.873995i	$-0.338479\pi$
$373$	0.910065	+	0.474780i	0.0471214	+	0.0245832i	−0.438814	+	0.898578i	$0.644601\pi$
$374$	7.36736	−	5.87527i	0.380957	−	0.303803i
$375$	19.9136	−	24.9709i	1.02834	−	1.28949i
$376$	−2.75242	+	4.22846i	−0.141945	+	0.218066i
$377$	−18.4410	−	0.591366i	−0.949758	−	0.0304569i
$378$	−42.1995	+	23.7663i	−2.17051	+	1.22241i
$379$	34.8150	−	2.23520i	1.78833	−	0.114815i	0.865715	−	0.500538i	$-0.166864\pi$
$379$	34.8150	−	2.23520i	1.78833	−	0.114815i	0.922614	+	0.385723i	$0.126048\pi$
$380$			17.0895i			0.876675i
$381$	−1.64480	−	25.6192i	−0.0842659	−	1.31251i
$382$	−37.5680	−	3.62414i	−1.92215	−	0.185427i
$383$	−13.2571	−	20.3665i	−0.677407	−	1.04068i	−0.995695	−	0.0926848i	$-0.970455\pi$
$383$	−13.2571	−	20.3665i	−0.677407	−	1.04068i	0.318289	−	0.947994i	$-0.396892\pi$
$384$	−18.2787	−	30.1527i	−0.932783	−	1.53872i
$385$	6.64530	+	5.65723i	0.338676	+	0.288319i
$386$	15.0388	+	37.1461i	0.765454	+	1.89069i
$387$	56.4728	+	7.28136i	2.87067	+	0.370132i
$388$	−0.717605	+	3.14403i	−0.0364309	+	0.159614i
$389$	10.0055	−	4.42913i	0.507298	−	0.224566i	−0.135250	−	0.990812i	$-0.543184\pi$
$389$	10.0055	−	4.42913i	0.507298	−	0.224566i	0.642547	+	0.766246i	$0.277878\pi$
$390$	43.6003	−	11.4334i	2.20779	−	0.578951i
$391$	−13.6600	−	5.02699i	−0.690814	−	0.254226i
$392$	0.257584	+	1.99777i	0.0130099	+	0.100903i
$393$	7.35358			0.370939
$394$	7.78489	+	23.4888i	0.392197	+	1.18335i
$395$	−3.74686			−0.188525
$396$	0.964851	+	7.48320i	0.0484856	+	0.376045i
$397$	−9.27647	−	3.41383i	−0.465573	−	0.171335i	0.101785	−	0.994806i	$-0.467545\pi$
$397$	−9.27647	−	3.41383i	−0.465573	−	0.171335i	−0.567358	+	0.823471i	$0.692034\pi$
$398$	−34.8712	+	9.14431i	−1.74794	+	0.458363i
$399$	29.2694	−	12.9567i	1.46530	−	0.648647i
$400$	−8.72568	+	38.2297i	−0.436284	+	1.91149i
$401$	15.6821	+	2.02198i	0.783126	+	0.100973i	0.509052	−	0.860736i	$-0.329996\pi$
$401$	15.6821	+	2.02198i	0.783126	+	0.100973i	0.274074	+	0.961709i	$0.411629\pi$
$402$	−9.95241	−	24.5826i	−0.496381	−	1.22607i
$403$	−11.1427	−	9.48593i	−0.555058	−	0.472528i
$404$	−1.06145	−	1.75098i	−0.0528092	−	0.0871143i
$405$	−30.6931	−	47.1528i	−1.52515	−	2.34304i
$406$	33.8093	+	3.26155i	1.67793	+	0.161868i
$407$	0.694798	+	10.8220i	0.0344399	+	0.536428i
$408$		−	25.7051i		−	1.27259i
$409$	−9.07029	+	0.582332i	−0.448497	+	0.0287945i	−0.286680	−	0.958026i	$-0.592552\pi$
$409$	−9.07029	+	0.582332i	−0.448497	+	0.0287945i	−0.161817	+	0.986821i	$0.551735\pi$
$410$	−1.17253	+	0.660357i	−0.0579072	+	0.0326127i
$411$	48.0746	+	1.54166i	2.37134	+	0.0760444i
$412$	−1.77541	+	2.72751i	−0.0874682	+	0.134375i
$413$	18.5618	−	23.2758i	0.913367	−	1.14533i
$414$	25.5558	−	20.3800i	1.25600	−	1.00162i
$415$	−31.5421	−	16.4555i	−1.54834	−	0.807768i
$416$	−9.85293	+	8.38792i	−0.483080	+	0.411252i
$417$	4.65276	+	1.54482i	0.227847	+	0.0756503i
$418$	−0.247257	−	7.71038i	−0.0120937	−	0.377127i
$419$	−10.3656	+	11.4137i	−0.506394	+	0.557596i	−0.938969	−	0.344002i	$-0.888217\pi$
$419$	−10.3656	+	11.4137i	−0.506394	+	0.557596i	0.432575	+	0.901598i	$0.357605\pi$
$420$	−29.0410	+	5.65574i	−1.41706	+	0.275972i
$421$	−1.35885	−	2.41277i	−0.0662261	−	0.117591i	0.836220	−	0.548395i	$-0.184761\pi$
$421$	−1.35885	−	2.41277i	−0.0662261	−	0.117591i	−0.902446	+	0.430803i	$0.858230\pi$
$422$	−18.2282	+	2.35027i	−0.887337	+	0.114409i
$423$	2.06162	−	21.3709i	0.100240	−	1.03909i
$424$	3.21982	+	16.5331i	0.156368	+	0.802918i
$425$	−28.7238	+	29.6597i	−1.39331	+	1.43871i
$426$	−43.8422	−	58.7446i	−2.12416	−	2.84618i
$427$	−1.84438	−	8.08074i	−0.0892556	−	0.391055i
$428$	−0.526423	−	5.45693i	−0.0254456	−	0.263771i
$429$	−6.95489	+	2.06418i	−0.335785	+	0.0996594i
$430$	48.4824	+	23.3479i	2.33803	+	1.12594i
$431$	12.2512	+	6.89977i	0.590121	+	0.332350i	0.756785	−	0.653664i	$-0.226769\pi$
$431$	12.2512	+	6.89977i	0.590121	+	0.332350i	−0.166664	+	0.986014i	$0.553300\pi$
$432$	49.0016	+	29.7050i	2.35759	+	1.42918i
$433$	2.40676	−	8.10916i	0.115661	−	0.389701i	−0.880827	−	0.473439i	$-0.843012\pi$
$433$	2.40676	−	8.10916i	0.115661	−	0.389701i	0.996488	+	0.0837379i	$0.0266858\pi$
$434$	19.3521	+	18.7415i	0.928932	+	0.899620i
$435$	−2.88265	+	89.8917i	−0.138213	+	4.30998i
$436$	4.34148	−	11.7972i	0.207919	−	0.564984i
$437$	−9.98665	+	6.50059i	−0.477726	+	0.310965i
$438$	3.97242	+	3.60765i	0.189810	+	0.172380i
$439$	14.4487	+	4.28830i	0.689598	+	0.204669i	0.610287	−	0.792181i	$-0.291054\pi$
$439$	14.4487	+	4.28830i	0.689598	+	0.204669i	0.0793118	+	0.996850i	$0.474728\pi$
$440$	1.09677	−	5.63171i	0.0522867	−	0.268481i
$441$	−4.90401	−	7.03027i	−0.233524	−	0.334775i
$442$	−20.9352	+	3.38464i	−0.995786	+	0.160991i
$443$	6.88656	+	1.80587i	0.327190	+	0.0857994i	0.413596	−	0.910461i	$-0.364273\pi$
$443$	6.88656	+	1.80587i	0.327190	+	0.0857994i	−0.0864055	+	0.996260i	$0.527538\pi$
$444$	−30.1527	−	21.0333i	−1.43099	−	0.998194i
$445$	3.80204	+	1.53927i	0.180234	+	0.0729686i
$446$	3.03804	+	9.15010i	0.143856	+	0.433270i
$447$	−35.7409	−	6.96054i	−1.69049	−	0.329222i
$448$	−0.0292450	+	0.0218261i	−0.00138169	+	0.00103119i
$449$	−20.0715	−	13.0651i	−0.947235	−	0.616581i	−0.0235449	−	0.999723i	$-0.507495\pi$
$449$	−20.0715	−	13.0651i	−0.947235	−	0.616581i	−0.923690	+	0.383141i	$0.874842\pi$
$450$	−23.5190	−	89.6883i	−1.10870	−	4.22795i
$451$	0.185215	−	0.112279i	0.00872146	−	0.00528700i
$452$	−6.70697	+	0.215079i	−0.315469	+	0.0101165i
$453$	8.59543	−	14.1791i	0.403848	−	0.666190i
$454$	−25.6129	+	8.50407i	−1.20207	+	0.399116i
$455$	−6.78321	−	18.4322i	−0.318002	−	0.864114i
$456$	−16.8646	−	12.5864i	−0.789758	−	0.589412i
$457$	0.401850	+	0.442481i	0.0187977	+	0.0206984i	0.749605	−	0.661886i	$-0.230244\pi$
$457$	0.401850	+	0.442481i	0.0187977	+	0.0206984i	−0.730807	+	0.682584i	$0.760856\pi$
$458$	35.0620	−	33.9557i	1.63834	−	1.58664i
$459$	27.9075	+	53.4935i	1.30261	+	2.49686i
$460$	10.3365	−	3.80392i	0.481941	−	0.177359i
$461$	0.684094	−	0.477194i	0.0318614	−	0.0222252i	−0.556078	−	0.831130i	$-0.687694\pi$
$461$	0.684094	−	0.477194i	0.0318614	−	0.0222252i	0.587939	+	0.808905i	$0.299939\pi$
$462$	13.0208	−	2.97190i	0.605780	−	0.138265i
$463$	7.04194	+	5.61576i	0.327266	+	0.260986i	0.773314	−	0.634023i	$-0.218597\pi$
$463$	7.04194	+	5.61576i	0.327266	+	0.260986i	−0.446048	+	0.895009i	$0.647169\pi$
$464$	−16.2672	−	36.7478i	−0.755184	−	1.70597i
$465$	−46.2398	+	54.3159i	−2.14432	+	2.51884i
$466$	10.2781	−	30.9559i	0.476122	−	1.43400i
$467$	11.6160	−	20.6254i	0.537526	−	0.954432i	−0.460251	−	0.887789i	$-0.652241\pi$
$467$	11.6160	−	20.6254i	0.537526	−	0.954432i	0.997777	−	0.0666428i	$-0.0212288\pi$
$468$	6.37220	−	15.7395i	0.294555	−	0.727557i
$469$	−10.2457	+	5.34517i	−0.473102	+	0.246817i
$470$	8.21318	−	18.5537i	0.378846	−	0.855819i
$471$	17.3616	+	36.0518i	0.799982	+	1.66118i
$472$	−19.3213	−	3.12371i	−0.889334	−	0.143781i
$473$	−7.91968	−	3.50581i	−0.364147	−	0.161197i
$474$	−3.42955	+	4.59528i	−0.157524	+	0.211068i
$475$	5.39466	+	33.3679i	0.247524	+	1.53102i
$476$	13.8558	−	1.33666i	0.635081	−	0.0612655i
$477$	−44.6898	−	56.0393i	−2.04621	−	2.56586i
$478$	6.68762	+	1.52640i	0.305884	+	0.0698161i
$479$	−30.2118	+	12.2314i	−1.38041	+	0.558867i	−0.940690	−	0.339267i	$-0.889821\pi$
$479$	−30.2118	+	12.2314i	−1.38041	+	0.558867i	−0.439722	+	0.898134i	$0.644923\pi$
$480$	40.8875	+	48.0287i	1.86625	+	2.19220i
$481$	10.5891	−	21.9884i	0.482819	−	1.00258i
$482$	3.49704	−	5.01328i	0.159286	−	0.228348i
$483$	−14.3518	−	14.8194i	−0.653029	−	0.674306i
$484$	−1.76248	+	10.9016i	−0.0801129	+	0.495527i
$485$	−0.668604	+	10.4140i	−0.0303597	+	0.472877i
$486$	−25.2910	−	1.62374i	−1.14722	−	0.0736543i
$487$	−15.0938	+	7.26879i	−0.683965	+	0.329380i	−0.743396	−	0.668852i	$-0.766786\pi$
$487$	−15.0938	+	7.26879i	−0.683965	+	0.329380i	0.0594301	+	0.998232i	$0.481072\pi$
$488$	−4.03387	+	3.66345i	−0.182605	+	0.165837i
$489$	−9.33428	+	35.5956i	−0.422111	+	1.60969i
$490$	−2.30487	−	7.76586i	−0.104123	−	0.350826i
$491$	6.42306	−	12.3118i	0.289869	−	0.555624i	−0.697015	−	0.717057i	$-0.745489\pi$
$491$	6.42306	−	12.3118i	0.289869	−	0.555624i	0.986884	+	0.161432i	$0.0516114\pi$
$492$	−0.0938969	+	0.728246i	−0.00423320	+	0.0328319i
$493$	5.41109	−	41.9673i	0.243703	−	1.89011i
$494$	−8.03023	+	15.3925i	−0.361297	+	0.692539i
$495$	6.94688	+	23.4063i	0.312239	+	1.05204i
$496$	8.08494	−	30.8314i	0.363025	−	1.38437i
$497$	−23.6446	+	21.4734i	−1.06061	+	0.963214i
$498$	−49.0525	+	23.6224i	−2.19809	+	1.05855i
$499$	−26.6931	−	1.71375i	−1.19495	−	0.0767182i	−0.546155	−	0.837684i	$-0.683909\pi$
$499$	−26.6931	−	1.71375i	−1.19495	−	0.0767182i	−0.648792	+	0.760966i	$0.724725\pi$
$500$	0.728535	−	11.3475i	0.0325811	−	0.507476i
$501$	−6.25385	+	38.6823i	−0.279402	+	1.72820i
$502$	−10.3177	−	10.6539i	−0.460501	−	0.475505i
$503$	9.42361	−	13.5095i	0.420178	−	0.602357i	−0.552783	−	0.833325i	$-0.686434\pi$
$503$	9.42361	−	13.5095i	0.420178	−	0.602357i	0.972961	+	0.230968i	$0.0741894\pi$
$504$	10.9135	−	22.6622i	0.486127	−	1.00945i
$505$	−4.29504	−	5.04520i	−0.191127	−	0.224508i
$506$	−4.60853	+	1.86579i	−0.204874	+	0.0829444i
$507$	−23.5357	−	5.37187i	−1.04526	−	0.238573i
$508$	−5.69849	−	7.14568i	−0.252830	−	0.317038i
$509$	3.62617	−	0.349812i	0.160727	−	0.0155051i	−0.0153460	−	0.999882i	$-0.504885\pi$
$509$	3.62617	−	0.349812i	0.160727	−	0.0155051i	0.176073	+	0.984377i	$0.443660\pi$
$510$	16.4987	+	102.050i	0.730573	+	4.51885i
$511$	1.39852	−	1.87389i	0.0618668	−	0.0828959i
$512$	−11.4298	−	5.05961i	−0.505128	−	0.223605i
$513$	48.7608	+	7.88327i	2.15284	+	0.348055i
$514$	18.1735	+	37.7378i	0.801601	+	1.66454i
$515$	−4.26281	+	9.62977i	−0.187842	+	0.424338i
$516$	26.0323	−	13.5810i	1.14601	−	0.597872i
$517$	−1.22552	+	3.02706i	−0.0538983	+	0.133130i
$518$	−22.0474	+	39.1473i	−0.968705	+	1.72003i
$519$	10.2267	−	30.8012i	0.448902	−	1.35202i
$520$	−8.37015	+	9.83205i	−0.367055	+	0.431164i
$521$	−1.80470	−	4.07685i	−0.0790654	−	0.178610i	0.870509	−	0.492153i	$-0.163790\pi$
$521$	−1.80470	−	4.07685i	−0.0790654	−	0.178610i	−0.949574	+	0.313543i	$0.898484\pi$
$522$	74.2935	+	59.2471i	3.25174	+	2.59317i
$523$	−35.7131	+	8.15128i	−1.56163	+	0.356431i	−0.914060	−	0.405579i	$-0.867070\pi$
$523$	−35.7131	+	8.15128i	−1.56163	+	0.356431i	−0.647565	+	0.762010i	$0.724213\pi$
$524$	2.14722	−	1.49781i	0.0938017	−	0.0654320i
$525$	−54.9181	+	20.2104i	−2.39682	+	0.882053i
$526$	6.98140	+	13.3820i	0.304403	+	0.583484i
$527$	24.1086	−	23.3479i	1.05019	−	1.01705i
$528$	−10.6235	−	11.6977i	−0.462329	−	0.509076i
$529$	−12.2778	−	9.16314i	−0.533816	−	0.398397i
$530$	−23.3944	−	63.5702i	−1.01619	−	2.76131i
$531$	79.0446	−	26.2446i	3.43024	−	1.13892i
$532$	5.90749	−	9.74503i	0.256122	−	0.422501i
$533$	−0.487188	+	0.0156232i	−0.0211025	+	0.000676715i
$534$	5.36787	−	3.25403i	0.232290	−	0.140816i
$535$	−4.49987	−	17.1600i	−0.194546	−	0.741890i
$536$	6.36724	+	4.14462i	0.275023	+	0.179020i
$537$	−9.58914	+	7.15656i	−0.413802	+	0.308828i
$538$	12.7788	+	2.48867i	0.550933	+	0.107294i
$539$	0.410840	+	1.23738i	0.0176961	+	0.0532979i
$540$	−42.3192	−	17.1332i	−1.82113	−	0.737294i
$541$	0.431186	+	0.300777i	0.0185381	+	0.0129314i	0.581349	−	0.813654i	$-0.302525\pi$
$541$	0.431186	+	0.300777i	0.0185381	+	0.0129314i	−0.562811	+	0.826586i	$0.690280\pi$
$542$	−18.4713	−	4.84373i	−0.793408	−	0.208056i
$543$	40.3845	−	6.52905i	1.73306	−	0.280188i
$544$	−16.9784	−	24.3398i	−0.727941	−	1.04356i
$545$	7.77591	−	39.9276i	0.333083	−	1.71031i
$546$	−28.8147	−	8.55204i	−1.23315	−	0.365993i
$547$	20.1984	+	18.3436i	0.863620	+	0.784317i	0.977887	−	0.209133i	$-0.0670642\pi$
$547$	20.1984	+	18.3436i	0.863620	+	0.784317i	−0.114267	+	0.993450i	$0.536452\pi$
$548$	14.3516	−	9.34187i	0.613071	−	0.399065i
$549$	8.00842	−	21.7615i	0.341791	−	0.928756i
$550$	−0.452035	+	14.0961i	−0.0192748	+	0.601060i
$551$	−24.8844	−	24.0992i	−1.06011	−	1.02666i
$552$	−3.85893	+	13.0020i	−0.164247	+	0.553403i
$553$	2.13658	+	1.29521i	0.0908568	+	0.0550779i
$554$	−14.9283	−	8.40747i	−0.634243	−	0.357199i
$555$	−107.184	−	51.6170i	−4.54970	−	2.19102i
$556$	1.67324	−	0.496610i	0.0709614	−	0.0210610i
$557$	4.03845	+	41.8627i	0.171115	+	1.77378i	0.537447	+	0.843297i	$0.319389\pi$
$557$	4.03845	+	41.8627i	0.171115	+	1.77378i	−0.366333	+	0.930484i	$0.619387\pi$
$558$	16.7708	+	73.4776i	0.709964	+	3.11056i
$559$	11.6581	+	15.6208i	0.493086	+	0.660690i
$560$	29.7612	−	30.7309i	1.25764	−	1.29862i
$561$	−3.18054	−	16.3314i	−0.134283	−	0.689513i
$562$	1.12782	−	11.6911i	0.0475743	−	0.493157i
$563$	29.9384	−	3.86013i	1.26175	−	0.162685i	0.532205	−	0.846615i	$-0.321363\pi$
$563$	29.9384	−	3.86013i	1.26175	−	0.162685i	0.729547	+	0.683930i	$0.239731\pi$
$564$	−5.43290	−	9.64666i	−0.228766	−	0.406198i
$565$	−21.3139	+	4.15089i	−0.896684	+	0.174629i
$566$	12.6908	−	13.9739i	0.533433	−	0.587368i
$567$	1.20249	+	37.4981i	0.0504999	+	1.57477i
$568$	19.9286	+	6.61675i	0.836185	+	0.277633i
$569$	−5.22950	+	4.45194i	−0.219232	+	0.186635i	−0.751092	−	0.660197i	$-0.770473\pi$
$569$	−5.22950	+	4.45194i	−0.219232	+	0.186635i	0.531860	+	0.846832i	$0.321493\pi$
$570$	75.0315	+	39.1439i	3.14272	+	1.63956i
$571$	−14.8571	+	11.8481i	−0.621750	+	0.495829i	−0.882957	−	0.469453i	$-0.844451\pi$
$571$	−14.8571	+	11.8481i	−0.621750	+	0.495829i	0.261207	+	0.965283i	$0.415880\pi$
$572$	−1.61036	+	2.01933i	−0.0673327	+	0.0844326i
$573$	−36.3547	+	55.8506i	−1.51874	+	2.33319i
$574$	0.896888	+	0.0287615i	0.0374354	+	0.00120048i
$575$	18.9815	−	10.6902i	0.791584	−	0.445812i
$576$	−0.101880	+	0.00654094i	−0.00424502	+	0.000272539i
$577$			3.27674i			0.136413i	0.997671	+	0.0682063i	$0.0217276\pi$
$577$			3.27674i			0.136413i	−0.997671	+	0.0682063i	$0.978272\pi$
$578$	−1.19589	−	18.6270i	−0.0497427	−	0.774782i
$579$	70.4319	+	6.79448i	2.92705	+	0.282369i
$580$	17.4678	+	26.8352i	0.725310	+	1.11427i
$581$	12.2980	+	20.2869i	0.510209	+	0.841643i
$582$	12.1602	+	10.3521i	0.504055	+	0.429109i
$583$	4.09134	+	10.1057i	0.169446	+	0.418535i
$584$	−1.52459	−	0.196575i	−0.0630882	−	0.00813432i
$585$	12.2269	−	53.5697i	0.505522	−	2.21483i
$586$	33.9515	−	15.0293i	1.40252	−	0.620856i
$587$	−36.0915	+	9.46430i	−1.48965	+	0.390633i	−0.906667	−	0.421847i	$-0.861382\pi$
$587$	−36.0915	+	9.46430i	−1.48965	+	0.390633i	−0.582988	+	0.812481i	$0.698116\pi$
$588$	−4.14813	−	1.52655i	−0.171066	−	0.0629538i
$589$	−3.51342	−	27.2494i	−0.144768	−	1.12279i
$590$	78.7109			3.24048
$591$	43.1280	+	6.99623i	1.77405	+	0.287786i
$592$	53.1577			2.18477
$593$	3.92947	+	30.4762i	0.161364	+	1.25151i	0.850149	+	0.526542i	$0.176512\pi$
$593$	3.92947	+	30.4762i	0.161364	+	1.25151i	−0.688785	+	0.724966i	$0.741855\pi$
$594$	19.3413	+	7.11777i	0.793582	+	0.292046i
$595$	43.5713	−	11.4258i	1.78625	−	0.468410i
$596$	−11.8540	+	5.24740i	−0.485557	+	0.214942i
$597$	−14.1641	+	62.0568i	−0.579696	+	2.53982i
$598$	11.0974	+	1.43086i	0.453808	+	0.0585121i
$599$	9.60870	+	23.7337i	0.392601	+	0.969732i	0.986288	+	0.165036i	$0.0527739\pi$
$599$	9.60870	+	23.7337i	0.392601	+	0.969732i	−0.593687	+	0.804696i	$0.702328\pi$
$600$	29.2943	+	24.9386i	1.19593	+	1.01811i
$601$	−21.0552	−	34.7327i	−0.858859	−	1.41678i	−0.908443	−	0.418008i	$-0.862728\pi$
$601$	−21.0552	−	34.7327i	−0.858859	−	1.41678i	0.0495843	−	0.998770i	$-0.484210\pi$
$602$	−19.5754	−	30.0731i	−0.797834	−	1.22569i
$603$	−32.1805	−	3.10441i	−1.31049	−	0.126421i
$604$	−0.378214	−	5.89099i	−0.0153893	−	0.239701i
$605$			35.7347i			1.45282i
$606$	−10.1189	+	0.649656i	−0.411053	+	0.0263905i
$607$	−16.5073	+	9.29676i	−0.670012	+	0.377344i	−0.788004	−	0.615671i	$-0.788885\pi$
$607$	−16.5073	+	9.29676i	−0.670012	+	0.377344i	0.117991	+	0.993015i	$0.462355\pi$
$608$	−24.2822	−	0.778683i	−0.984774	−	0.0315798i
$609$	32.7174	−	50.2628i	1.32578	−	2.03675i
$610$	13.6632	−	17.1331i	0.553207	−	0.693699i
$611$	5.74612	−	4.58238i	0.232463	−	0.185383i
$612$	34.5272	+	18.0128i	1.39568	+	0.728125i
$613$	11.0346	−	9.39390i	0.445684	−	0.379416i	−0.397006	−	0.917816i	$-0.629951\pi$
$613$	11.0346	−	9.39390i	0.445684	−	0.379416i	0.842689	+	0.538400i	$0.180971\pi$
$614$	−20.3150	−	6.74503i	−0.819845	−	0.272207i
$615$	0.0761562	+	2.37483i	0.00307092	+	0.0957625i
$616$	−2.57218	+	2.83226i	−0.103636	+	0.114115i
$617$	−37.3730	+	7.27839i	−1.50458	+	0.293017i	−0.875078	−	0.483983i	$-0.839190\pi$
$617$	−37.3730	+	7.27839i	−1.50458	+	0.293017i	−0.629501	+	0.776999i	$0.716741\pi$
$618$	7.90849	+	14.0423i	0.318126	+	0.564865i
$619$	6.38525	−	0.823287i	0.256645	−	0.0330907i	0.00152025	−	0.999999i	$-0.499516\pi$
$619$	6.38525	−	0.823287i	0.256645	−	0.0330907i	0.255125	+	0.966908i	$0.417883\pi$
$620$	−2.43857	+	25.2783i	−0.0979354	+	1.01520i
$621$	−6.08542	−	31.2474i	−0.244200	−	1.25391i
$622$	21.8054	−	22.5159i	0.874317	−	0.902804i
$623$	−1.63595	−	2.19203i	−0.0655431	−	0.0878218i
$624$	7.91329	+	34.6704i	0.316785	+	1.38793i
$625$	0.240992	+	2.49813i	0.00963967	+	0.0999253i
$626$	30.4347	−	9.03286i	1.21642	−	0.361026i
$627$	−12.2721	−	5.90991i	−0.490099	−	0.236019i
$628$	12.4127	+	6.99071i	0.495321	+	0.278960i
$629$	47.8638	+	29.0153i	1.90846	+	1.15692i
$630$	−28.7814	+	96.9742i	−1.14668	+	3.86354i
$631$	−8.75547	−	8.47920i	−0.348550	−	0.337552i	0.500624	−	0.865665i	$-0.333104\pi$
$631$	−8.75547	−	8.47920i	−0.348550	−	0.337552i	−0.849174	+	0.528113i	$0.822900\pi$
$632$	0.0526476	−	1.64175i	0.00209421	−	0.0653051i
$633$	−11.2076	+	30.4546i	−0.445462	+	1.21046i
$634$	16.7665	−	10.9138i	0.665883	−	0.433442i
$635$	−21.8939	−	19.8835i	−0.868833	−	0.789051i
$636$	−35.4334	−	10.5165i	−1.40503	−	0.417004i
$637$	0.560904	−	2.88012i	0.0222238	−	0.114115i
$638$	−8.26929	−	11.8546i	−0.327384	−	0.469330i
$639$	−88.2112	+	14.2613i	−3.48958	+	0.564168i
$640$	−39.2931	−	10.3039i	−1.55320	−	0.407296i
$641$	28.7356	+	20.0447i	1.13499	+	0.791720i	0.980547	−	0.196282i	$-0.0628869\pi$
$641$	28.7356	+	20.0447i	1.13499	+	0.791720i	0.154442	+	0.988002i	$0.450642\pi$
$642$	−25.1644	−	10.1879i	−0.993159	−	0.402085i
$643$	4.35850	+	13.1271i	0.171882	+	0.517682i	0.999017	−	0.0443210i	$-0.0141124\pi$
$643$	4.35850	+	13.1271i	0.171882	+	0.517682i	−0.827135	+	0.562003i	$0.810031\pi$
$644$	−7.20915	−	1.40398i	−0.284080	−	0.0553246i
$645$	76.1447	−	56.8283i	2.99819	−	2.23761i
$646$	−33.3699	−	21.7214i	−1.31292	−	0.854617i
$647$	5.27916	+	20.1317i	0.207545	+	0.791460i	0.986415	+	0.164274i	$0.0525280\pi$
$647$	5.27916	+	20.1317i	0.207545	+	0.791460i	−0.778870	+	0.627186i	$0.784207\pi$
$648$	21.0920	−	12.7861i	0.828574	−	0.502286i
$649$	−12.6620	+	0.406046i	−0.497028	+	0.0159387i
$650$	16.4537	−	27.1421i	0.645366	−	1.06460i
$651$	45.1433	−	14.9886i	1.76931	−	0.587450i
$652$	4.52469	+	12.2950i	0.177201	+	0.481511i
$653$	22.8794	+	17.0754i	0.895342	+	0.668211i	0.943765	−	0.330616i	$-0.107256\pi$
$653$	22.8794	+	17.0754i	0.895342	+	0.668211i	−0.0484236	+	0.998827i	$0.515420\pi$
$654$	−41.8513	−	46.0829i	−1.63652	−	1.80199i
$655$	6.08562	−	5.89359i	0.237785	−	0.230282i
$656$	−0.491078	−	0.941304i	−0.0191734	−	0.0367518i
$657$	6.13898	−	2.25920i	0.239504	−	0.0881398i
$658$	−11.0971	+	7.74083i	−0.432609	+	0.301769i
$659$	−3.34765	+	0.764078i	−0.130406	+	0.0297643i	−0.287226	−	0.957863i	$-0.592733\pi$
$659$	−3.34765	+	0.764078i	−0.130406	+	0.0297643i	0.156820	+	0.987627i	$0.449876\pi$
$660$	9.84337	+	7.84983i	0.383153	+	0.305554i
$661$	9.96415	+	22.5092i	0.387561	+	0.875506i	0.996602	+	0.0823677i	$0.0262482\pi$
$661$	9.96415	+	22.5092i	0.387561	+	0.875506i	−0.609041	+	0.793138i	$0.708446\pi$
$662$	−25.3453	+	29.7720i	−0.985073	+	1.15712i
$663$	−11.7991	+	35.5370i	−0.458239	+	1.38014i
$664$	7.65344	−	13.5895i	0.297011	−	0.527373i
$665$	13.8383	−	34.1809i	0.536626	−	1.32548i
$666$	−111.440	+	58.1383i	−4.31822	+	2.25281i
$667$	−9.03727	+	20.4154i	−0.349925	+	0.790486i
$668$	6.05287	+	12.5689i	0.234192	+	0.486306i
$669$	16.8051	+	2.71691i	0.649721	+	0.105042i
$670$	−27.9383	−	12.3675i	−1.07935	−	0.477797i
$671$	−2.10958	+	2.82664i	−0.0814394	+	0.109121i
$672$	−6.71288	−	41.5215i	−0.258955	−	1.60173i
$673$	−18.4872	+	1.78344i	−0.712630	+	0.0687466i	−0.445975	−	0.895045i	$-0.647143\pi$
$673$	−18.4872	+	1.78344i	−0.712630	+	0.0687466i	−0.266655	+	0.963792i	$0.585919\pi$
$674$	23.4205	+	29.3683i	0.902123	+	1.13123i
$675$	−88.0381	−	20.0941i	−3.38859	−	0.773423i
$676$	−7.96651	+	3.22528i	−0.306404	+	0.124049i
$677$	−10.4166	−	12.2359i	−0.400342	−	0.470265i	0.524061	−	0.851681i	$-0.324416\pi$
$677$	−10.4166	−	12.2359i	−0.400342	−	0.470265i	−0.924404	+	0.381416i	$0.875437\pi$
$678$	−14.4181	+	29.9395i	−0.553725	+	1.14982i
$679$	3.98118	−	5.70731i	0.152783	−	0.219027i
$680$	−20.6016	−	21.2728i	−0.790035	−	0.815776i
$681$	−7.60516	+	47.0406i	−0.291431	+	1.80260i
$682$	0.734488	−	11.4402i	0.0281250	−	0.438070i
$683$	19.3459	+	1.24205i	0.740250	+	0.0475256i	0.429625	−	0.903007i	$-0.358646\pi$
$683$	19.3459	+	1.24205i	0.740250	+	0.0475256i	0.310624	+	0.950533i	$0.399462\pi$
$684$	28.7239	−	13.8327i	1.09829	−	0.528907i
$685$	41.0208	−	37.2540i	1.56732	−	1.42340i
$686$	−8.85619	+	33.7725i	−0.338131	+	1.28944i
$687$	−24.5208	−	82.6186i	−0.935526	−	3.15210i
$688$	−19.6371	+	37.6406i	−0.748657	+	1.43504i
$689$	3.13762	−	24.3347i	0.119534	−	0.927079i
$690$	6.97481	−	54.0952i	0.265526	−	2.05937i
$691$	−13.3253	+	25.5421i	−0.506917	+	0.971666i	0.488178	+	0.872744i	$0.337662\pi$
$691$	−13.3253	+	25.5421i	−0.506917	+	0.971666i	−0.995095	+	0.0989215i	$0.968461\pi$
$692$	−3.28755	−	11.0769i	−0.124974	−	0.421079i
$693$	4.12973	−	15.7485i	0.156876	−	0.598235i
$694$	10.0384	−	9.11660i	0.381052	−	0.346061i
$695$	5.08861	−	2.45054i	0.193022	−	0.0929544i
$696$	−39.3470	−	2.52616i	−1.49144	−	0.0957538i
$697$	0.0716244	−	1.11561i	0.00271297	−	0.0422567i
$698$	8.97371	−	55.5056i	0.339660	−	2.10092i
$699$	−40.0656	−	41.3710i	−1.51542	−	1.56480i
$700$	−11.9194	+	17.0873i	−0.450510	+	0.645839i
$701$	−7.33620	+	15.2338i	−0.277084	+	0.575372i	−0.992346	−	0.123485i	$-0.960593\pi$
$701$	−7.33620	+	15.2338i	−0.277084	+	0.575372i	0.715262	+	0.698856i	$0.246307\pi$
$702$	−30.0660	−	35.3172i	−1.13477	−	1.33296i
$703$	42.4727	−	17.1953i	1.60189	−	0.648532i
$704$	0.0151392	+	0.00345542i	0.000570579	+	0.000130231i
$705$	−22.3371	−	28.0098i	−0.841264	−	1.05491i
$706$	−23.2772	+	2.24553i	−0.876050	+	0.0845115i
$707$	0.705157	+	4.36165i	0.0265202	+	0.164037i
$708$	25.6878	−	34.4193i	0.965408	−	1.29356i
$709$	−26.6916	−	11.8156i	−1.00243	−	0.443744i	−0.162654	−	0.986683i	$-0.552005\pi$
$709$	−26.6916	−	11.8156i	−1.00243	−	0.443744i	−0.839772	+	0.542939i	$0.817311\pi$
$710$	−83.3640	−	13.4776i	−3.12859	−	0.505807i
$711$	3.03280	+	6.29768i	0.113739	+	0.236181i
$712$	−0.727880	+	1.64429i	−0.0272785	+	0.0616225i
$713$	−15.6996	+	8.19045i	−0.587953	+	0.306735i
$714$	25.8685	−	63.8956i	0.968102	−	2.39123i
$715$	−4.10133	+	7.28232i	−0.153381	+	0.272343i
$716$	−1.34232	+	4.04284i	−0.0501647	+	0.151088i
$717$	7.85119	−	9.22246i	0.293208	−	0.344419i
$718$	7.91009	+	17.8690i	0.295202	+	0.666867i
$719$	14.9609	+	11.9309i	0.557946	+	0.444947i	0.861420	−	0.507893i	$-0.169575\pi$
$719$	14.9609	+	11.9309i	0.557946	+	0.444947i	−0.303475	+	0.952840i	$0.598147\pi$
$720$	116.681	−	26.6318i	4.34846	−	0.992508i
$721$	5.75961	−	4.01765i	0.214499	−	0.149625i
$722$	0.845900	−	0.311299i	0.0314811	−	0.0115854i
$723$	−4.99198	−	9.56869i	−0.185654	−	0.355864i
$724$	10.4623	−	10.1321i	0.388827	−	0.376558i
$725$	42.5774	+	46.8825i	1.58129	+	1.74117i
$726$	43.8263	+	32.7084i	1.62655	+	1.21392i
$727$	1.54509	+	4.19851i	0.0573042	+	0.155714i	0.963885	−	0.266317i	$-0.0858069\pi$
$727$	1.54509	+	4.19851i	0.0573042	+	0.155714i	−0.906581	+	0.422032i	$0.861317\pi$
$728$	8.17167	−	2.71318i	0.302862	−	0.100557i
$729$	1.20162	−	1.98219i	0.0445043	−	0.0734145i
$730$	6.17885	−	0.198144i	0.228689	−	0.00733363i
$731$	−38.2270	+	23.1734i	−1.41388	+	0.857101i
$732$	−3.03303	−	11.5663i	−0.112104	−	0.427501i
$733$	−34.7002	−	22.5873i	−1.28168	−	0.834282i	−0.289270	−	0.957248i	$-0.593412\pi$
$733$	−34.7002	−	22.5873i	−1.28168	−	0.834282i	−0.992411	+	0.122966i	$0.960759\pi$
$734$	40.0113	−	29.8612i	1.47685	−	1.10220i
$735$	−14.0393	−	2.73416i	−0.517849	−	0.100851i
$736$	4.93394	+	14.8602i	0.181868	+	0.547756i
$737$	4.55817	+	1.84540i	0.167902	+	0.0679761i
$738$	2.05900	+	1.43627i	0.0757928	+	0.0528698i
$739$	13.6187	+	3.57123i	0.500971	+	0.131370i	0.495488	−	0.868615i	$-0.334989\pi$
$739$	13.6187	+	3.57123i	0.500971	+	0.131370i	0.00548303	+	0.999985i	$0.498255\pi$
$740$	−41.8109	+	6.75966i	−1.53700	+	0.248490i
$741$	17.5377	+	25.1417i	0.644265	+	0.923603i
$742$	−8.63460	+	44.3368i	−0.316986	+	1.62766i
$743$	2.15272	+	0.638917i	0.0789757	+	0.0234396i	0.323774	−	0.946134i	$-0.395048\pi$
$743$	2.15272	+	0.638917i	0.0789757	+	0.0234396i	−0.244798	+	0.969574i	$0.578722\pi$
$744$	−23.1496	−	21.0239i	−0.848707	−	0.770774i
$745$	−35.1567	+	22.8845i	−1.28804	+	0.838423i
$746$	0.625003	−	1.69833i	0.0228830	−	0.0621804i
$747$	−2.12724	+	66.3351i	−0.0778316	+	2.42708i
$748$	−4.25516	−	4.12089i	−0.155584	−	0.150675i
$749$	−3.36586	+	11.3407i	−0.122986	+	0.414380i
$750$	−48.1524	−	29.1903i	−1.75828	−	1.06588i
$751$	−31.0769	−	17.5022i	−1.13401	−	0.638664i	−0.194406	−	0.980921i	$-0.562278\pi$
$751$	−31.0769	−	17.5022i	−1.13401	−	0.638664i	−0.939606	+	0.342257i	$0.888809\pi$
$752$	14.4229	+	6.94572i	0.525951	+	0.253284i
$753$	−25.1043	+	7.45083i	−0.914853	+	0.271523i
$754$	3.12349	+	32.3783i	0.113751	+	1.17915i
$755$	−4.25060	−	18.6231i	−0.154695	−	0.677763i
$756$	18.2093	+	24.3988i	0.662265	+	0.887375i
$757$	23.0395	−	23.7901i	0.837384	−	0.864667i	−0.154992	−	0.987916i	$-0.549535\pi$
$757$	23.0395	−	23.7901i	0.837384	−	0.864667i	0.992376	+	0.123248i	$0.0393312\pi$
$758$	−11.7574	−	60.3719i	−0.427049	−	2.19281i
$759$	−0.842958	+	8.73814i	−0.0305974	+	0.317174i
$760$	−24.0442	+	3.10015i	−0.872174	+	0.112454i
$761$	−14.6061	−	25.9347i	−0.529473	−	0.940132i	−0.998381	−	0.0568852i	$-0.981883\pi$
$761$	−14.6061	−	25.9347i	−0.529473	−	0.940132i	0.468908	−	0.883247i	$-0.344647\pi$
$762$	−44.4255	+	8.65187i	−1.60937	+	0.313424i
$763$	−18.2362	+	20.0801i	−0.660196	+	0.726949i
$764$	0.760432	+	23.7131i	0.0275115	+	0.857908i
$765$	119.598	+	39.7092i	4.32407	+	1.43569i
$766$	−32.6230	+	27.7724i	−1.17872	+	1.00346i
$767$	25.2776	+	13.1873i	0.912720	+	0.476165i
$768$	−48.5283	+	38.7000i	−1.75111	+	1.39647i
$769$	4.23651	−	5.31241i	0.152772	−	0.191571i	−0.699556	−	0.714578i	$-0.746619\pi$
$769$	4.23651	−	5.31241i	0.152772	−	0.191571i	0.852328	+	0.523008i	$0.175190\pi$
$770$	8.39376	−	12.8951i	0.302490	−	0.464706i
$771$	73.9183	+	2.37042i	2.66210	+	0.0853684i
$772$	21.9498	−	12.3619i	0.789991	−	0.444914i
$773$	20.2359	−	1.29919i	0.727834	−	0.0467285i	0.304259	−	0.952589i	$-0.401591\pi$
$773$	20.2359	−	1.29919i	0.727834	−	0.0467285i	0.423575	+	0.905861i	$0.360775\pi$
$774$		−	100.387i		−	3.60834i
$775$	3.21823	+	50.1265i	0.115602	+	1.80060i
$776$	−4.55369	−	0.439289i	−0.163468	−	0.0157695i
$777$	43.2769	+	66.4850i	1.55255	+	2.38514i
$778$	−10.0003	−	16.4965i	−0.358528	−	0.591429i
$779$	−0.696858	−	0.593244i	−0.0249675	−	0.0212552i
$780$	−10.6329	−	26.2635i	−0.380720	−	0.940385i
$781$	13.4801	+	1.73806i	0.482355	+	0.0621928i
$782$	−5.71030	+	25.0185i	−0.204200	+	0.894658i
$783$	84.6254	−	37.4612i	3.02427	−	1.33875i
$784$	6.18210	−	1.62114i	0.220789	−	0.0578977i
$785$	43.2621	+	15.9208i	1.54409	+	0.568239i
$786$	−1.65787	−	12.8581i	−0.0591342	−	0.458633i
$787$	−5.66774			−0.202033			−0.101017	−	0.994885i	$-0.532210\pi$
$787$	−5.66774			−0.202033			−0.101017	+	0.994885i	$0.532210\pi$
$788$	14.0183	−	6.74162i	0.499380	−	0.240160i
$789$	26.6504			0.948779
$790$	0.844731	+	6.55157i	0.0300542	+	0.233094i
$791$	13.5888	+	5.00081i	0.483162	+	0.177808i
$792$	−10.3535	+	2.71500i	−0.367895	+	0.0964733i
$793$	7.25835	−	3.21306i	0.257752	−	0.114099i
$794$	−3.87786	+	16.9900i	−0.137620	+	0.602953i
$795$	−118.621	−	15.2945i	−4.20706	−	0.542441i
$796$	8.50412	+	21.0054i	0.301421	+	0.744515i
$797$	−10.6410	−	9.05882i	−0.376924	−	0.320880i	0.439598	−	0.898195i	$-0.355121\pi$
$797$	−10.6410	−	9.05882i	−0.376924	−	0.320880i	−0.816522	+	0.577315i	$0.804101\pi$
$798$	−29.2543	−	48.2580i	−1.03559	−	1.70831i
$799$	9.19537	+	14.1266i	0.325309	+	0.499762i
$800$	44.2103	+	4.26492i	1.56307	+	0.150788i
$801$	−0.490270	−	7.63635i	−0.0173228	−	0.269817i
$802$		−	27.8768i		−	0.984363i
$803$	−0.992954	+	0.0637497i	−0.0350406	+	0.00224968i
$804$	−14.5260	+	8.18089i	−0.512293	+	0.288518i
$805$	−23.7543	−	0.761754i	−0.837229	−	0.0268483i
$806$	−14.0745	+	21.6222i	−0.495753	+	0.761609i
$807$	14.3322	−	17.9719i	0.504516	−	0.632643i
$808$	2.27099	−	1.81105i	0.0798930	−	0.0637125i
$809$	−15.7152	−	8.19863i	−0.552519	−	0.288249i	0.163252	−	0.986584i	$-0.447802\pi$
$809$	−15.7152	−	8.19863i	−0.552519	−	0.288249i	−0.715770	+	0.698336i	$0.753924\pi$
$810$	−75.5293	+	64.2990i	−2.65383	+	2.25924i
$811$	−11.6449	−	3.86637i	−0.408907	−	0.135766i	0.103256	−	0.994655i	$-0.467074\pi$
$811$	−11.6449	−	3.86637i	−0.408907	−	0.135766i	−0.512163	+	0.858888i	$0.671156\pi$
$812$	−0.684351	−	21.3406i	−0.0240160	−	0.748907i
$813$	−22.6678	+	24.9598i	−0.794996	+	0.875379i
$814$	18.7662	−	3.65472i	0.657756	−	0.128098i
$815$	20.8037	+	36.9390i	0.728721	+	1.29392i
$816$	−80.8893	+	10.4295i	−2.83169	+	0.365106i
$817$	−3.51405	+	36.4268i	−0.122941	+	1.27441i
$818$	3.06314	+	15.7286i	0.107100	+	0.549936i
$819$	−25.4901	+	26.3206i	−0.890697	+	0.919718i
$820$	0.505953	+	0.677931i	0.0176686	+	0.0236744i
$821$	7.61405	+	33.3593i	0.265732	+	1.16425i	0.914925	+	0.403625i	$0.132250\pi$
$821$	7.61405	+	33.3593i	0.265732	+	1.16425i	−0.649192	+	0.760624i	$0.724893\pi$
$822$	−8.14277	−	84.4084i	−0.284012	−	2.94408i
$823$	12.2945	−	3.64895i	0.428561	−	0.127195i	−0.0630486	−	0.998010i	$-0.520082\pi$
$823$	12.2945	−	3.64895i	0.428561	−	0.127195i	0.491609	+	0.870816i	$0.336409\pi$
$824$	−4.15954	−	2.00313i	−0.144905	−	0.0697823i
$825$	21.6974	+	12.2198i	0.755408	+	0.425438i
$826$	−44.8836	−	27.2087i	−1.56170	−	0.946712i
$827$	13.4720	−	45.3916i	0.468467	−	1.57842i	−0.310002	−	0.950736i	$-0.600330\pi$
$827$	13.4720	−	45.3916i	0.468467	−	1.57842i	0.778468	−	0.627684i	$-0.215997\pi$
$828$	−14.7602	−	14.2945i	−0.512953	−	0.496767i
$829$	−0.614642	+	19.1668i	−0.0213474	+	0.665691i	0.931763	+	0.363068i	$0.118271\pi$
$829$	−0.614642	+	19.1668i	−0.0213474	+	0.665691i	−0.953110	+	0.302623i	$0.902138\pi$
$830$	−21.6621	+	58.8628i	−0.751901	+	2.04316i
$831$	−25.3532	+	16.5031i	−0.879491	+	0.572485i
$832$	−0.0258706	−	0.0234950i	−0.000896901	−	0.000814542i
$833$	6.45130	+	1.91471i	0.223524	+	0.0663409i
$834$	1.65223	−	8.48386i	0.0572121	−	0.293772i
$835$	25.8268	+	37.0246i	0.893772	+	1.28129i
$836$	−4.78715	+	0.773950i	−0.165567	+	0.0267676i
$837$	71.0007	+	18.6186i	2.45414	+	0.643552i
$838$	22.2944	+	15.5516i	0.770146	+	0.537220i
$839$	49.6815	+	20.1138i	1.71520	+	0.694406i	0.999990	−	0.00450757i	$-0.00143481\pi$
$839$	49.6815	+	20.1138i	1.71520	+	0.694406i	0.715206	+	0.698913i	$0.246333\pi$
$840$	−13.2256	−	39.8333i	−0.456326	−	1.37438i
$841$	−35.2427	−	6.86351i	−1.21526	−	0.236673i
$842$	−3.91250	+	2.91997i	−0.134834	+	0.100629i
$843$	−17.3806	−	11.3135i	−0.598618	−	0.389657i
$844$	2.93055	+	11.1755i	0.100874	+	0.384675i
$845$	−23.7828	+	14.4173i	−0.818154	+	0.495970i
$846$	−37.8329	+	1.21323i	−1.30072	+	0.0417116i
$847$	12.3527	−	20.3771i	0.424445	−	0.700167i
$848$	50.7202	−	16.8403i	1.74174	−	0.578297i
$849$	−11.5109	−	31.2790i	−0.395055	−	1.07349i
$850$	58.3372	+	43.5382i	2.00095	+	1.49335i
$851$	−19.8543	−	21.8618i	−0.680598	−	0.749414i
$852$	−33.1000	+	32.0556i	−1.13399	+	1.09821i
$853$	−23.8832	−	45.7795i	−0.817744	−	1.56746i	−0.823389	−	0.567477i	$-0.807919\pi$
$853$	−23.8832	−	45.7795i	−0.817744	−	1.56746i	0.00564551	−	0.999984i	$-0.498203\pi$
$854$	−13.7138	+	5.04679i	−0.469275	+	0.172698i
$855$	84.6130	−	59.0224i	2.89370	−	2.01852i
$856$	7.58214	−	1.73057i	0.259152	−	0.0591498i
$857$	8.09798	+	6.45792i	0.276622	+	0.220598i	0.751967	−	0.659201i	$-0.229105\pi$
$857$	8.09798	+	6.45792i	0.276622	+	0.220598i	−0.475345	+	0.879799i	$0.657677\pi$
$858$	5.17730	+	11.6956i	0.176750	+	0.399282i
$859$	7.91249	−	9.29446i	0.269971	−	0.317123i	−0.609768	−	0.792580i	$-0.708738\pi$
$859$	7.91249	−	9.29446i	0.269971	−	0.317123i	0.879739	+	0.475457i	$0.157717\pi$
$860$	10.6590	−	32.1031i	0.363468	−	1.09471i
$861$	0.777502	−	1.38053i	0.0264972	−	0.0470485i
$862$	9.30254	−	22.9774i	0.316846	−	0.782615i
$863$	−11.7875	+	6.14954i	−0.401252	+	0.209333i	−0.651166	−	0.758935i	$-0.725720\pi$
$863$	−11.7875	+	6.14954i	−0.401252	+	0.209333i	0.249914	+	0.968268i	$0.419597\pi$
$864$	26.2725	−	59.3500i	0.893808	−	2.01913i
$865$	−16.2226	−	33.6865i	−0.551584	−	1.14538i
$866$	−14.7219	−	2.38012i	−0.500270	−	0.0808797i
$867$	−30.1361	−	13.3404i	−1.02348	−	0.453063i
$868$	10.1287	−	13.5716i	0.343792	−	0.460650i
$869$	−0.169687	−	1.04958i	−0.00575625	−	0.0356044i
$870$	157.830	−	15.2257i	5.35094	−	0.516198i
$871$	−6.90018	−	8.65255i	−0.233804	−	0.293181i
$872$	17.3857	+	3.96817i	0.588753	+	0.134379i
$873$	18.0450	−	7.30561i	0.610731	−	0.247258i
$874$	13.6181	+	15.9966i	0.460639	+	0.541093i
$875$	−10.6458	+	22.1063i	−0.359894	+	0.747329i
$876$	1.92986	−	2.76660i	0.0652040	−	0.0934749i
$877$	27.8328	+	28.7396i	0.939847	+	0.970469i	0.999615	−	0.0277434i	$-0.00883214\pi$
$877$	27.8328	+	28.7396i	0.939847	+	0.970469i	−0.0597684	+	0.998212i	$0.519036\pi$
$878$	4.24083	−	26.2311i	0.143121	−	0.885255i
$879$	4.20032	−	65.4233i	0.141673	−	2.20667i
$880$	−18.1669	−	1.16636i	−0.612408	−	0.0393179i
$881$	−31.4906	+	15.1651i	−1.06094	+	0.510924i	−0.881178	−	0.472785i	$-0.843249\pi$
$881$	−31.4906	+	15.1651i	−1.06094	+	0.510924i	−0.179767	+	0.983709i	$0.557534\pi$
$882$	−11.1872	+	10.1599i	−0.376692	+	0.342101i
$883$	−7.70662	+	29.3887i	−0.259348	+	0.989008i	0.701665	+	0.712507i	$0.252440\pi$
$883$	−7.70662	+	29.3887i	−0.259348	+	0.989008i	−0.961014	+	0.276501i	$0.910825\pi$
$884$	3.79302	+	12.7800i	0.127573	+	0.429836i
$885$	64.2823	−	123.217i	2.16083	−	4.14190i
$886$	1.60507	−	12.4486i	0.0539234	−	0.418220i
$887$	5.61539	−	43.5518i	0.188546	−	1.46233i	−0.575836	−	0.817565i	$-0.695323\pi$
$887$	5.61539	−	43.5518i	0.188546	−	1.46233i	0.764383	−	0.644763i	$-0.223044\pi$
$888$	24.1229	−	46.2391i	0.809511	−	1.55168i
$889$	5.61134	+	18.9065i	0.188198	+	0.634103i
$890$	1.83433	−	6.99508i	0.0614867	−	0.234476i
$891$	11.8185	−	10.7333i	0.395935	−	0.359578i
$892$	5.46041	−	2.62959i	0.182828	−	0.0880454i
$893$	13.7706	+	0.884104i	0.460816	+	0.0295854i
$894$	−4.11304	+	64.0640i	−0.137561	+	2.14262i
$895$	−2.20001	+	13.6079i	−0.0735384	+	0.454861i
$896$	18.8444	+	19.4584i	0.629548	+	0.650060i
$897$	11.3031	−	16.2038i	0.377399	−	0.541029i
$898$	−18.3199	+	38.0416i	−0.611342	+	1.26947i
$899$	−33.3695	−	39.1977i	−1.11294	−	1.30732i
$900$	−54.0255	+	21.8725i	−1.80085	+	0.729083i
$901$	54.8611	+	12.5217i	1.82769	+	0.417158i
$902$	−0.238082	−	0.298545i	−0.00792726	−	0.00994047i
$903$	−63.0646	+	6.08377i	−2.09866	+	0.202455i
$904$	−1.51929	−	9.39737i	−0.0505310	−	0.312552i
$905$	28.1883	−	37.7697i	0.937011	−	1.25551i
$906$	−26.7306	−	11.8329i	−0.888066	−	0.393120i
$907$	−2.17432	−	0.351527i	−0.0721970	−	0.0116723i	0.123395	−	0.992358i	$-0.460622\pi$
$907$	−2.17432	−	0.351527i	−0.0721970	−	0.0116723i	−0.195592	+	0.980685i	$0.562663\pi$
$908$	7.36075	+	15.2847i	0.244275	+	0.507242i
$909$	−5.00340	+	11.3028i	−0.165952	+	0.374889i
$910$	−30.7003	+	16.0163i	−1.01771	+	0.530936i
$911$	−17.8188	+	44.0127i	−0.590362	+	1.45821i	0.277168	+	0.960821i	$0.410604\pi$
$911$	−17.8188	+	44.0127i	−0.590362	+	1.45821i	−0.867530	+	0.497384i	$0.834294\pi$
$912$	−32.7645	+	58.1766i	−1.08494	+	1.92642i
$913$	3.18106	−	9.58086i	0.105278	−	0.317080i
$914$	0.683103	−	0.802412i	0.0225951	−	0.0265414i
$915$	−15.6623	−	35.3813i	−0.517778	−	1.16967i
$916$	−23.9881	−	19.1299i	−0.792588	−	0.632068i
$917$	−5.50752	+	1.25705i	−0.181874	+	0.0415116i
$918$	87.2443	−	60.8578i	2.87949	−	2.00861i
$919$	9.35045	−	3.44105i	0.308443	−	0.113510i	−0.186448	−	0.982465i	$-0.559698\pi$
$919$	9.35045	−	3.44105i	0.308443	−	0.113510i	0.494891	+	0.868955i	$0.335208\pi$
$920$	7.22704	+	13.8529i	0.238269	+	0.456716i
$921$	−27.1499	+	26.2932i	−0.894621	+	0.866392i
$922$	−0.988627	−	1.08859i	−0.0325587	−	0.0358508i
$923$	−24.5138	−	18.2951i	−0.806882	−	0.602192i
$924$	−2.89950	−	7.87888i	−0.0953866	−	0.259196i
$925$	−79.5032	+	26.3969i	−2.61405	+	0.867924i
$926$	8.23182	−	13.5793i	0.270514	−	0.446242i
$927$	19.6361	−	0.629690i	0.644933	−	0.0206817i
$928$	−38.9256	+	23.5969i	−1.27779	+	0.774606i
$929$	1.71115	+	6.52534i	0.0561409	+	0.214089i	0.989424	−	0.145052i	$-0.0463349\pi$
$929$	1.71115	+	6.52534i	0.0561409	+	0.214089i	−0.933283	+	0.359141i	$0.883070\pi$
$930$	105.399	+	68.6070i	3.45616	+	2.24971i
$931$	4.41506	−	3.29504i	0.144698	−	0.107991i
$932$	−20.1256	−	3.91947i	−0.659237	−	0.128386i
$933$	−17.4390	−	52.5235i	−0.570927	−	1.71954i
$934$	−38.6835	−	15.6612i	−1.26576	−	0.512450i
$935$	−15.7211	−	10.9663i	−0.514135	−	0.358638i
$936$	23.3006	+	6.11014i	0.761605	+	0.199716i
$937$	−41.1480	+	6.65249i	−1.34425	+	0.217327i	−0.789018	−	0.614371i	$-0.789410\pi$
$937$	−41.1480	+	6.65249i	−1.34425	+	0.217327i	−0.555228	+	0.831698i	$0.687369\pi$
$938$	11.6562	+	16.7100i	0.380588	+	0.545602i
$939$	10.7153	−	55.0207i	0.349680	−	1.79553i
$940$	−12.2275	−	3.62906i	−0.398818	−	0.118367i
$941$	−21.6810	−	19.6901i	−0.706779	−	0.641878i	0.237361	−	0.971421i	$-0.423717\pi$
$941$	−21.6810	−	19.6901i	−0.706779	−	0.641878i	−0.944140	+	0.329543i	$0.893105\pi$
$942$	59.1242	−	38.4856i	1.92637	−	1.25393i
$943$	−0.203707	+	0.553539i	−0.00663362	+	0.0180257i
$944$	−1.99040	+	62.0679i	−0.0647819	+	2.02014i
$945$	70.7693	+	68.5362i	2.30213	+	2.22948i
$946$	−4.34458	+	14.6383i	−0.141255	+	0.475934i
$947$	−34.1531	−	20.7038i	−1.10983	−	0.672784i	−0.160489	−	0.987038i	$-0.551307\pi$
$947$	−34.1531	−	20.7038i	−1.10983	−	0.672784i	−0.949339	+	0.314253i	$0.898246\pi$
$948$	3.14060	+	1.76876i	0.102002	+	0.0574465i
$949$	2.01750	+	0.971577i	0.0654908	+	0.0315387i
$950$	57.1291	−	16.9556i	1.85351	−	0.550113i
$951$	−3.39185	−	35.1601i	−0.109988	−	1.14014i
$952$	4.39415	+	19.2520i	0.142415	+	0.623962i
$953$	−12.7845	−	17.1301i	−0.414132	−	0.554899i	0.544789	−	0.838573i	$-0.316610\pi$
$953$	−12.7845	−	17.1301i	−0.414132	−	0.554899i	−0.958921	+	0.283674i	$0.908447\pi$
$954$	−87.9121	+	90.7765i	−2.84626	+	2.93900i
$955$	14.6758	+	75.3573i	0.474898	+	2.43850i
$956$	0.414053	−	4.29209i	0.0133914	−	0.138816i
$957$	−25.3112	+	3.26351i	−0.818193	+	0.105494i
$958$	28.1985	+	50.0692i	0.911051	+	1.61766i
$959$	−36.2693	+	7.06345i	−1.17120	+	0.228091i
$960$	−0.114528	+	0.126108i	−0.00369637	+	0.00407011i
$961$	−0.315029	−	9.82375i	−0.0101622	−	0.316895i
$962$	−40.8351	−	13.5582i	−1.31658	−	0.437134i
$963$	−25.2000	+	21.4531i	−0.812058	+	0.691315i
$964$	−3.40663	−	1.77724i	−0.109720	−	0.0572410i
$965$	63.7330	−	50.8254i	2.05164	−	1.63613i
$966$	−22.6768	+	28.4359i	−0.729616	+	0.914909i
$967$	−6.38200	+	9.80446i	−0.205231	+	0.315290i	−0.925744	−	0.378152i	$-0.876560\pi$
$967$	−6.38200	+	9.80446i	−0.205231	+	0.315290i	0.720512	+	0.693442i	$0.243907\pi$
$968$	−15.6577	−	0.502113i	−0.503259	−	0.0161385i
$969$	−61.2563	+	34.4989i	−1.96784	+	1.10827i
$970$	18.3602	−	1.17876i	0.589511	−	0.0378478i
$971$			5.07901i			0.162993i	0.996674	+	0.0814967i	$0.0259700\pi$
$971$			5.07901i			0.162993i	−0.996674	+	0.0814967i	$0.974030\pi$
$972$	1.02070	+	15.8982i	0.0327389	+	0.509935i
$973$	−3.74879	−	0.361642i	−0.120181	−	0.0115937i
$974$	16.1128	+	24.7535i	0.516286	+	0.793154i
$975$	−29.0517	−	47.9238i	−0.930400	−	1.53479i
$976$	13.1649	+	11.2074i	0.421398	+	0.358741i
$977$	−15.9681	−	39.4416i	−0.510866	−	1.26185i	−0.934483	−	0.356008i	$-0.884138\pi$
$977$	−15.9681	−	39.4416i	−0.510866	−	1.26185i	0.423617	−	0.905842i	$-0.360760\pi$
$978$	64.3452	+	8.29639i	2.05753	+	0.265289i
$979$	−0.258998	+	1.13474i	−0.00827760	+	0.0362665i
$980$	−4.65634	+	2.06123i	−0.148741	+	0.0658434i
$981$	−73.4040	+	19.2488i	−2.34361	+	0.614567i
$982$	−22.9759	−	8.45534i	−0.733190	−	0.269821i
$983$	5.56035	+	43.1250i	0.177348	+	1.37547i	0.803283	+	0.595598i	$0.203085\pi$
$983$	5.56035	+	43.1250i	0.177348	+	1.37547i	−0.625935	+	0.779875i	$0.715282\pi$
$984$	−1.04164			−0.0332063
$985$	41.2988	−	28.7755i	1.31589	−	0.916863i
$986$	−74.6019			−2.37581
$987$	3.05495	+	23.6936i	0.0972403	+	0.754176i
$988$	10.2419	+	3.76912i	0.325839	+	0.119912i
$989$	22.8147	−	5.98271i	0.725464	−	0.190239i
$990$	39.3610	−	17.4239i	1.25097	−	0.553769i
$991$	2.44239	−	10.7008i	0.0775851	−	0.339923i	−0.921206	−	0.389075i	$-0.872795\pi$
$991$	2.44239	−	10.7008i	0.0775851	−	0.339923i	0.998791	+	0.0491522i	$0.0156519\pi$
$992$	−35.8064	−	4.61673i	−1.13685	−	0.146581i
$993$	25.9071	+	63.9910i	0.822136	+	2.03069i
$994$	42.8780	+	36.5026i	1.36001	+	1.15779i
$995$	38.0142	+	62.7084i	1.20513	+	1.98799i
$996$	18.6704	+	28.6828i	0.591596	+	0.908850i
$997$	35.9161	+	3.46478i	1.13747	+	0.109731i	0.647542	−	0.762030i	$-0.275797\pi$
$997$	35.9161	+	3.46478i	1.13747	+	0.109731i	0.489932	+	0.871761i	$0.337022\pi$
$998$	3.02139	+	47.0606i	0.0956404	+	1.48968i
$999$			122.415i			3.87305i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	197.2.h.a.10.4	✓	672
197.138	even	98	inner	197.2.h.a.138.4	yes	672

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
197.2.h.a.10.4	✓	672	1.1	even	1	trivial
197.2.h.a.138.4	yes	672	197.138	even	98	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:	\( N \)	\(=\)	\( 197 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	197.h (of order \(98\), degree \(42\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.225451 - 1.74855i) q^{2} +(-2.92137 - 1.07509i) q^{3} +(-1.07201 + 0.281114i) q^{4} +(-3.27929 + 1.45164i) q^{5} +(-1.22123 + 5.35054i) q^{6} +(2.37176 + 0.305805i) q^{7} +(-0.589983 - 1.45727i) q^{8} +(5.09425 + 4.33680i) q^{9} +(3.27759 + 5.40672i) q^{10} +(-0.555149 - 0.852858i) q^{11} +(3.43396 + 0.331270i) q^{12} +(0.146732 + 2.28547i) q^{13} -4.21609i q^{14} +(11.1407 - 0.715254i) q^{15} +(-4.34638 + 2.44784i) q^{16} +(-5.24965 - 0.168346i) q^{17} +(6.43460 - 9.88528i) q^{18} +(-2.68091 + 3.36176i) q^{19} +(3.10735 - 2.47803i) q^{20} +(-6.60003 - 3.44323i) q^{21} +(-1.36611 + 1.16298i) q^{22} +(2.63008 + 0.873245i) q^{23} +(0.156861 + 4.89151i) q^{24} +(5.28495 - 5.81932i) q^{25} +(3.96317 - 0.771828i) q^{26} +(-5.63705 - 10.0092i) q^{27} +(-2.62852 + 0.338910i) q^{28} +(-0.773595 + 8.01912i) q^{29} +(-3.76233 - 19.3188i) q^{30} +(-4.44523 + 4.59007i) q^{31} +(3.37940 + 4.52808i) q^{32} +(0.704896 + 3.08835i) q^{33} +(0.889174 + 9.21722i) q^{34} +(-8.22161 + 2.44013i) q^{35} +(-6.68021 - 3.21702i) q^{36} +(-9.28522 - 5.22934i) q^{37} +(6.48262 + 3.92980i) q^{38} +(2.02843 - 6.83445i) q^{39} +(4.05016 + 3.92236i) q^{40} +(-0.00682183 + 0.212730i) q^{41} +(-4.53268 + 12.3168i) q^{42} +(7.13294 - 4.64303i) q^{43} +(0.834875 + 0.758211i) q^{44} +(-23.0010 - 6.82657i) q^{45} +(0.933961 - 4.79569i) q^{46} +(-1.83602 - 2.63208i) q^{47} +(15.3290 - 2.47828i) q^{48} +(-1.23932 - 0.324989i) q^{49} +(-11.3669 - 7.92904i) q^{50} +(15.1552 + 6.13565i) q^{51} +(-0.799775 - 2.40879i) q^{52} +(-10.5161 - 2.04801i) q^{53} +(-16.2306 + 12.1132i) q^{54} +(3.05854 + 1.99089i) q^{55} +(-0.953660 - 3.63672i) q^{56} +(11.4461 - 6.93872i) q^{57} +(14.1962 - 0.455246i) q^{58} +(6.45354 - 10.6458i) q^{59} +(-11.7418 + 3.89855i) q^{60} +(-1.19703 - 3.25272i) q^{61} +(9.02814 + 6.73788i) q^{62} +(10.7561 + 11.8437i) q^{63} +(-0.0109617 + 0.0106158i) q^{64} +(-3.79886 - 7.28171i) q^{65} +(5.24121 - 1.92882i) q^{66} +(-3.96340 + 2.76469i) q^{67} +(5.67499 - 1.29528i) q^{68} +(-6.74461 - 5.37865i) q^{69} +(6.12026 + 13.8258i) q^{70} +(-8.65792 + 10.1701i) q^{71} +(3.31436 - 9.98233i) q^{72} +(0.479807 - 0.851946i) q^{73} +(-7.05040 + 17.4146i) q^{74} +(-21.6956 + 11.3186i) q^{75} +(1.92893 - 4.35748i) q^{76} +(-1.05587 - 2.19254i) q^{77} +(-12.4077 - 2.00598i) q^{78} +(0.955371 + 0.422914i) q^{79} +(10.6997 - 14.3366i) q^{80} +(2.50388 + 15.4874i) q^{81} +(0.373507 - 0.0360318i) q^{82} +(6.18522 + 7.75602i) q^{83} +(8.04323 + 1.83581i) q^{84} +(17.4595 - 7.06856i) q^{85} +(-9.72669 - 11.4255i) q^{86} +(10.8812 - 22.5951i) q^{87} +(-0.915315 + 1.31217i) q^{88} +(-0.795700 - 0.821625i) q^{89} +(-6.75102 + 41.7574i) q^{90} +(-0.350894 + 5.46546i) q^{91} +(-3.06495 - 0.196776i) q^{92} +(17.9209 - 8.63026i) q^{93} +(-4.18838 + 3.80378i) q^{94} +(3.91141 - 14.9159i) q^{95} +(-5.00437 - 16.8614i) q^{96} +(1.34593 - 2.57990i) q^{97} +(-0.288853 + 2.24029i) q^{98} +(0.870605 - 6.75224i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 672 q - 42 q^{2} - 42 q^{3} - 56 q^{4} - 42 q^{5} - 21 q^{6} - 56 q^{7} - 28 q^{8} - 42 q^{9} - 56 q^{10} - 28 q^{11} - 28 q^{12} - 42 q^{13} + 70 q^{15} - 56 q^{16} - 42 q^{17} - 21 q^{18} - 7 q^{19} - 49 q^{20}+ \cdots + 259 q^{99}+O(q^{100}) \) 672 * q - 42 * q^2 - 42 * q^3 - 56 * q^4 - 42 * q^5 - 21 * q^6 - 56 * q^7 - 28 * q^8 - 42 * q^9 - 56 * q^10 - 28 * q^11 - 28 * q^12 - 42 * q^13 + 70 * q^15 - 56 * q^16 - 42 * q^17 - 21 * q^18 - 7 * q^19 - 49 * q^20 - 42 * q^21 - 84 * q^22 - 42 * q^23 - 56 * q^24 - 42 * q^25 - 42 * q^26 + 119 * q^28 + 119 * q^29 + 77 * q^30 - 70 * q^31 - 56 * q^32 - 49 * q^33 - 70 * q^34 - 42 * q^35 - 301 * q^36 + 7 * q^37 - 28 * q^38 - 63 * q^39 - 56 * q^40 - 28 * q^41 + 112 * q^42 - 28 * q^43 + 126 * q^44 - 56 * q^45 - 56 * q^46 - 7 * q^47 + 42 * q^48 - 42 * q^49 - 182 * q^50 - 70 * q^51 + 49 * q^52 - 42 * q^53 - 63 * q^54 - 84 * q^55 + 77 * q^56 + 175 * q^57 + 126 * q^58 - 42 * q^59 + 84 * q^60 - 14 * q^61 - 56 * q^62 + 7 * q^63 - 14 * q^64 - 133 * q^65 + 63 * q^66 - 112 * q^67 - 49 * q^68 - 49 * q^69 + 168 * q^70 + 91 * q^71 + 392 * q^72 - 56 * q^73 - 56 * q^74 - 91 * q^75 - 161 * q^76 - 49 * q^77 + 84 * q^78 + 42 * q^79 - 70 * q^80 - 14 * q^81 - 42 * q^82 - 35 * q^83 + 245 * q^84 + 322 * q^85 + 63 * q^86 - 49 * q^87 - 133 * q^88 + 28 * q^89 + 196 * q^90 - 126 * q^91 - 7 * q^93 - 210 * q^94 + 84 * q^95 - 49 * q^96 - 42 * q^97 + 280 * q^98 + 259 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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