LMFDB - Embedded newform 230.2.l.a.103.3

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [230,2,Mod(7,230)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("230.7"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(230, base_ring=CyclotomicField(44)) chi = DirichletCharacter(H, H._module([11, 38])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 230 = 2 \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	230.l (of order $44$, degree $20$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

gp:f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$1.83655924649$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$12$ over $\Q(\zeta_{44})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label			103.3
Character	$\chi$	$=$	230.103
Dual form			230.2.l.a.67.3

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.212565 + 0.977147i) q^{2} +(-0.210900 + 0.157878i) q^{3} +(-0.909632 - 0.415415i) q^{4} +(-1.68245 + 1.47287i) q^{5} +(-0.109440 - 0.239640i) q^{6} +(-0.00920642 + 0.128723i) q^{7} +(0.599278 - 0.800541i) q^{8} +(-0.825644 + 2.81189i) q^{9} +(-1.08158 - 1.95708i) q^{10} +(-0.320947 + 0.499403i) q^{11} +(0.257426 - 0.0559997i) q^{12} +(-6.67230 + 0.477212i) q^{13} +(-0.123824 - 0.0363580i) q^{14} +(0.122296 - 0.576251i) q^{15} +(0.654861 + 0.755750i) q^{16} +(1.23411 - 3.30878i) q^{17} +(-2.57212 - 1.40449i) q^{18} +(-3.16720 + 6.93520i) q^{19} +(2.14227 - 0.640856i) q^{20} +(-0.0183808 - 0.0286011i) q^{21} +(-0.419768 - 0.419768i) q^{22} +(4.77329 + 0.464439i) q^{23} +0.263447i q^{24} +(0.661294 - 4.95608i) q^{25} +(0.951992 - 6.62125i) q^{26} +(-0.546002 - 1.46389i) q^{27} +(0.0618477 - 0.113266i) q^{28} +(3.04513 - 1.39067i) q^{29} +(0.537086 + 0.241992i) q^{30} +(0.918589 + 6.38893i) q^{31} +(-0.877679 + 0.479249i) q^{32} +(-0.0111570 - 0.155995i) q^{33} +(2.97084 + 1.90924i) q^{34} +(-0.174103 - 0.230129i) q^{35} +(1.91913 - 2.21480i) q^{36} +(3.61951 + 6.62864i) q^{37} +(-6.10347 - 4.56900i) q^{38} +(1.33185 - 1.15405i) q^{39} +(0.170839 + 2.22953i) q^{40} +(8.46025 - 2.48415i) q^{41} +(0.0318546 - 0.0118811i) q^{42} +(-6.98721 - 9.33381i) q^{43} +(0.499403 - 0.320947i) q^{44} +(-2.75244 - 5.94693i) q^{45} +(-1.46846 + 4.56548i) q^{46} +(-7.26872 + 7.26872i) q^{47} +(-0.257426 - 0.0559997i) q^{48} +(6.91227 + 0.993834i) q^{49} +(4.70225 + 1.69967i) q^{50} +(0.262109 + 0.892662i) q^{51} +(6.26758 + 2.33768i) q^{52} +(5.41595 + 0.387357i) q^{53} +(1.54649 - 0.222352i) q^{54} +(-0.195579 - 1.31294i) q^{55} +(0.0975305 + 0.0845107i) q^{56} +(-0.426952 - 1.96266i) q^{57} +(0.711595 + 3.27115i) q^{58} +(8.56443 + 7.42112i) q^{59} +(-0.350627 + 0.473373i) q^{60} +(-3.26718 + 0.469749i) q^{61} +(-6.43818 - 0.460468i) q^{62} +(-0.354352 - 0.132166i) q^{63} +(-0.281733 - 0.959493i) q^{64} +(10.5230 - 10.6303i) q^{65} +(0.154801 + 0.0222571i) q^{66} +(5.52199 + 1.20124i) q^{67} +(-2.49711 + 2.49711i) q^{68} +(-1.08001 + 0.655647i) q^{69} +(0.261878 - 0.121206i) q^{70} +(-2.50826 + 1.61196i) q^{71} +(1.75624 + 2.34606i) q^{72} +(-0.131080 + 0.0488904i) q^{73} +(-7.24654 + 2.12778i) q^{74} +(0.642988 + 1.14964i) q^{75} +(5.76197 - 4.99278i) q^{76} +(-0.0613297 - 0.0459109i) q^{77} +(0.844574 + 1.54672i) q^{78} +(-2.30971 + 2.66555i) q^{79} +(-2.21489 - 0.306987i) q^{80} +(-7.04985 - 4.53067i) q^{81} +(0.629027 + 8.79495i) q^{82} +(0.246590 - 0.134648i) q^{83} +(0.00483845 + 0.0336521i) q^{84} +(2.79708 + 7.38456i) q^{85} +(10.6057 - 4.84348i) q^{86} +(-0.422663 + 0.774050i) q^{87} +(0.207457 + 0.556213i) q^{88} +(0.270692 - 1.88270i) q^{89} +(6.39610 - 1.42543i) q^{90} -0.863268i q^{91} +(-4.14900 - 2.40537i) q^{92} +(-1.20240 - 1.20240i) q^{93} +(-5.55753 - 8.64768i) q^{94} +(-4.88600 - 16.3330i) q^{95} +(0.109440 - 0.239640i) q^{96} +(-9.28359 - 5.06923i) q^{97} +(-2.44043 + 6.54304i) q^{98} +(-1.13928 - 1.31480i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46}+ \cdots + 24 q^{98}+O(q^{100}) $ 240 * q - 8 * q^3 - 8 * q^6 - 8 * q^12 + 16 * q^13 + 24 * q^16 - 72 * q^18 - 80 * q^23 - 8 * q^26 + 16 * q^27 - 44 * q^28 + 24 * q^31 - 44 * q^33 - 8 * q^35 - 32 * q^36 - 88 * q^37 - 24 * q^41 - 8 * q^46 - 80 * q^47 + 8 * q^48 + 8 * q^50 + 16 * q^52 - 44 * q^56 - 88 * q^57 - 176 * q^61 - 32 * q^62 - 176 * q^66 + 24 * q^70 - 336 * q^71 + 16 * q^72 - 88 * q^73 - 36 * q^75 - 24 * q^77 + 40 * q^78 - 136 * q^81 + 40 * q^82 - 100 * q^85 - 44 * q^86 + 40 * q^87 + 8 * q^92 + 56 * q^93 + 52 * q^95 + 8 * q^96 + 132 * q^97 + 24 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{9}{22}\right)$

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 $

$2$	−0.212565	+	0.977147i	−0.150306	+	0.690947i
$2$	−0.212565	+	0.977147i	−0.150306	+	0.690947i
$3$	−0.210900	+	0.157878i	−0.121763	+	0.0911508i	−0.658424	−	0.752647i	$-0.728777\pi$
$3$	−0.210900	+	0.157878i	−0.121763	+	0.0911508i	0.536661	+	0.843798i	$0.319686\pi$
$4$	−0.909632	−	0.415415i	−0.454816	−	0.207708i
$5$	−1.68245	+	1.47287i	−0.752416	+	0.658689i
$5$	−1.68245	+	1.47287i	−0.752416	+	0.658689i
$6$	−0.109440	−	0.239640i	−0.0446786	−	0.0978325i
$7$	−0.00920642	+	0.128723i	−0.00347970	+	0.0486526i	−0.998895	−	0.0469917i	$-0.985037\pi$
$7$	−0.00920642	+	0.128723i	−0.00347970	+	0.0486526i	0.995416	+	0.0956442i	$0.0304911\pi$
$8$	0.599278	−	0.800541i	0.211877	−	0.283034i
$9$	−0.825644	+	2.81189i	−0.275215	+	0.937295i
$10$	−1.08158	−	1.95708i	−0.342026	−	0.618885i
$11$	−0.320947	+	0.499403i	−0.0967692	+	0.150576i	−0.886262	−	0.463183i	$-0.846707\pi$
$11$	−0.320947	+	0.499403i	−0.0967692	+	0.150576i	0.789493	+	0.613759i	$0.210343\pi$
$12$	0.257426	−	0.0559997i	0.0743126	−	0.0161657i
$13$	−6.67230	+	0.477212i	−1.85056	+	0.132355i	−0.951924	−	0.306335i	$-0.900897\pi$
$13$	−6.67230	+	0.477212i	−1.85056	+	0.132355i	−0.898638	+	0.438690i	$0.855443\pi$
$14$	−0.123824	−	0.0363580i	−0.0330933	−	0.00971708i
$15$	0.122296	−	0.576251i	0.0315766	−	0.148787i
$16$	0.654861	+	0.755750i	0.163715	+	0.188937i
$17$	1.23411	−	3.30878i	0.299316	−	0.802498i	−0.697026	−	0.717046i	$-0.745494\pi$
$17$	1.23411	−	3.30878i	0.299316	−	0.802498i	0.996342	−	0.0854519i	$-0.0272334\pi$
$18$	−2.57212	−	1.40449i	−0.606255	−	0.331040i
$19$	−3.16720	+	6.93520i	−0.726605	+	1.59104i	0.0778047	+	0.996969i	$0.475209\pi$
$19$	−3.16720	+	6.93520i	−0.726605	+	1.59104i	−0.804410	+	0.594075i	$0.797518\pi$
$20$	2.14227	−	0.640856i	0.479025	−	0.143300i
$21$	−0.0183808	−	0.0286011i	−0.00401102	−	0.00624127i
$22$	−0.419768	−	0.419768i	−0.0894949	−	0.0894949i
$23$	4.77329	+	0.464439i	0.995300	+	0.0968423i
$23$	4.77329	+	0.464439i	0.995300	+	0.0968423i
$24$			0.263447i			0.0537759i
$25$	0.661294	−	4.95608i	0.132259	−	0.991215i
$26$	0.951992	−	6.62125i	0.186701	−	1.29853i
$27$	−0.546002	−	1.46389i	−0.105078	−	0.281725i
$28$	0.0618477	−	0.113266i	0.0116881	−	0.0214052i
$29$	3.04513	−	1.39067i	0.565467	−	0.258240i	−0.112105	−	0.993696i	$-0.535759\pi$
$29$	3.04513	−	1.39067i	0.565467	−	0.258240i	0.677572	+	0.735456i	$0.263032\pi$
$30$	0.537086	+	0.241992i	0.0980581	+	0.0441814i
$31$	0.918589	+	6.38893i	0.164984	+	1.14749i	0.889068	+	0.457775i	$0.151353\pi$
$31$	0.918589	+	6.38893i	0.164984	+	1.14749i	−0.724085	+	0.689711i	$0.757738\pi$
$32$	−0.877679	+	0.479249i	−0.155153	+	0.0847201i
$33$	−0.0111570	−	0.155995i	−0.00194218	−	0.0271552i
$34$	2.97084	+	1.90924i	0.509494	+	0.327432i
$35$	−0.174103	−	0.230129i	−0.0294287	−	0.0388990i
$36$	1.91913	−	2.21480i	0.319855	−	0.369133i
$37$	3.61951	+	6.62864i	0.595044	+	1.08974i	0.985589	+	0.169158i	$0.0541049\pi$
$37$	3.61951	+	6.62864i	0.595044	+	1.08974i	−0.390545	+	0.920584i	$0.627713\pi$
$38$	−6.10347	−	4.56900i	−0.990114	−	0.741190i
$39$	1.33185	−	1.15405i	0.213266	−	0.184796i
$40$	0.170839	+	2.22953i	0.0270120	+	0.352520i
$41$	8.46025	−	2.48415i	1.32127	−	0.387960i	0.456319	−	0.889816i	$-0.349168\pi$
$41$	8.46025	−	2.48415i	1.32127	−	0.387960i	0.864951	+	0.501857i	$0.167350\pi$
$42$	0.0318546	−	0.0118811i	0.00491527	−	0.00183330i
$43$	−6.98721	−	9.33381i	−1.06554	−	1.42339i	−0.899313	−	0.437306i	$-0.855933\pi$
$43$	−6.98721	−	9.33381i	−1.06554	−	1.42339i	−0.166226	−	0.986088i	$-0.553158\pi$
$44$	0.499403	−	0.320947i	0.0752879	−	0.0483846i
$45$	−2.75244	−	5.94693i	−0.410310	−	0.886517i
$46$	−1.46846	+	4.56548i	−0.216513	+	0.673144i
$47$	−7.26872	+	7.26872i	−1.06025	+	1.06025i	−0.0621869	+	0.998065i	$0.519807\pi$
$47$	−7.26872	+	7.26872i	−1.06025	+	1.06025i	−0.998065	+	0.0621869i	$0.980193\pi$
$48$	−0.257426	−	0.0559997i	−0.0371563	−	0.00808286i
$49$	6.91227	+	0.993834i	0.987466	+	0.141976i
$50$	4.70225	+	1.69967i	0.664998	+	0.240370i
$51$	0.262109	+	0.892662i	0.0367026	+	0.124998i
$52$	6.26758	+	2.33768i	0.869156	+	0.324179i
$53$	5.41595	+	0.387357i	0.743938	+	0.0532075i	0.438162	−	0.898896i	$-0.355630\pi$
$53$	5.41595	+	0.387357i	0.743938	+	0.0532075i	0.305776	+	0.952103i	$0.401084\pi$
$54$	1.54649	−	0.222352i	0.210451	−	0.0302583i
$55$	−0.195579	−	1.31294i	−0.0263719	−	0.177036i
$56$	0.0975305	+	0.0845107i	0.0130331	+	0.0112932i
$57$	−0.426952	−	1.96266i	−0.0565511	−	0.259961i
$58$	0.711595	+	3.27115i	0.0934370	+	0.429523i
$59$	8.56443	+	7.42112i	1.11499	+	0.966148i	0.999631	−	0.0271755i	$-0.00865130\pi$
$59$	8.56443	+	7.42112i	1.11499	+	0.966148i	0.115363	+	0.993323i	$0.463197\pi$
$60$	−0.350627	+	0.473373i	−0.0452658	+	0.0611122i
$61$	−3.26718	+	0.469749i	−0.418319	+	0.0601452i	−0.348261	−	0.937398i	$-0.613228\pi$
$61$	−3.26718	+	0.469749i	−0.418319	+	0.0601452i	−0.0700584	+	0.997543i	$0.522319\pi$
$62$	−6.43818	−	0.460468i	−0.817650	−	0.0584795i
$63$	−0.354352	−	0.132166i	−0.0446441	−	0.0166514i
$64$	−0.281733	−	0.959493i	−0.0352166	−	0.119937i
$65$	10.5230	−	10.6303i	1.30521	−	1.31853i
$66$	0.154801	+	0.0222571i	0.0190547	+	0.00273966i
$67$	5.52199	+	1.20124i	0.674619	+	0.146754i	0.536808	−	0.843704i	$-0.319630\pi$
$67$	5.52199	+	1.20124i	0.674619	+	0.146754i	0.137810	+	0.990459i	$0.455994\pi$
$68$	−2.49711	+	2.49711i	−0.302819	+	0.302819i
$69$	−1.08001	+	0.655647i	−0.130018	+	0.0789306i
$70$	0.261878	−	0.121206i	0.0313005	−	0.0144869i
$71$	−2.50826	+	1.61196i	−0.297676	+	0.191305i	−0.680950	−	0.732330i	$-0.738433\pi$
$71$	−2.50826	+	1.61196i	−0.297676	+	0.191305i	0.383274	+	0.923635i	$0.374797\pi$
$72$	1.75624	+	2.34606i	0.206975	+	0.276486i
$73$	−0.131080	+	0.0488904i	−0.0153418	+	0.00572219i	−0.357123	−	0.934057i	$-0.616242\pi$
$73$	−0.131080	+	0.0488904i	−0.0153418	+	0.00572219i	0.341782	+	0.939779i	$0.388970\pi$
$74$	−7.24654	+	2.12778i	−0.842393	+	0.247349i
$75$	0.642988	+	1.14964i	0.0742458	+	0.132749i
$76$	5.76197	−	4.99278i	0.660943	−	0.572711i
$77$	−0.0613297	−	0.0459109i	−0.00698917	−	0.00523203i
$78$	0.844574	+	1.54672i	0.0956292	+	0.175132i
$79$	−2.30971	+	2.66555i	−0.259863	+	0.299898i	−0.870656	−	0.491893i	$-0.836305\pi$
$79$	−2.30971	+	2.66555i	−0.259863	+	0.299898i	0.610793	+	0.791790i	$0.290851\pi$
$80$	−2.21489	−	0.306987i	−0.247633	−	0.0343222i
$81$	−7.04985	−	4.53067i	−0.783317	−	0.503407i
$82$	0.629027	+	8.79495i	0.0694645	+	0.971240i
$83$	0.246590	−	0.134648i	0.0270668	−	0.0147796i	−0.465659	−	0.884964i	$-0.654183\pi$
$83$	0.246590	−	0.134648i	0.0270668	−	0.0147796i	0.492725	+	0.870185i	$0.336001\pi$
$84$	0.00483845	+	0.0336521i	0.000527918	+	0.00367175i
$85$	2.79708	+	7.38456i	0.303386	+	0.800968i
$86$	10.6057	−	4.84348i	1.14365	−	0.522286i
$87$	−0.422663	+	0.774050i	−0.0453143	+	0.0829869i
$88$	0.207457	+	0.556213i	0.0221150	+	0.0592925i
$89$	0.270692	−	1.88270i	0.0286933	−	0.199566i	−0.970432	−	0.241373i	$-0.922402\pi$
$89$	0.270692	−	1.88270i	0.0286933	−	0.199566i	0.999126	+	0.0418069i	$0.0133114\pi$
$90$	6.39610	−	1.42543i	0.674208	−	0.150253i
$91$		−	0.863268i		−	0.0904951i
$92$	−4.14900	−	2.40537i	−0.432563	−	0.250777i
$93$	−1.20240	−	1.20240i	−0.124683	−	0.124683i
$94$	−5.55753	−	8.64768i	−0.573215	−	0.891940i
$95$	−4.88600	−	16.3330i	−0.501293	−	1.67573i
$96$	0.109440	−	0.239640i	0.0111697	−	0.0244581i
$97$	−9.28359	−	5.06923i	−0.942606	−	0.514702i	−0.0670134	−	0.997752i	$-0.521347\pi$
$97$	−9.28359	−	5.06923i	−0.942606	−	0.514702i	−0.875593	+	0.483050i	$0.839529\pi$
$98$	−2.44043	+	6.54304i	−0.246521	+	0.660947i
$99$	−1.13928	−	1.31480i	−0.114502	−	0.132142i
$100$	−2.66036	+	4.23349i	−0.266036	+	0.423349i
$101$	−11.9304	−	3.50307i	−1.18711	−	0.348568i	−0.372202	−	0.928152i	$-0.621397\pi$
$101$	−11.9304	−	3.50307i	−1.18711	−	0.348568i	−0.814913	+	0.579583i	$0.803215\pi$
$102$	−0.927977	+	0.0663702i	−0.0918834	+	0.00657163i
$103$	−4.10537	+	0.893069i	−0.404514	+	0.0879967i	−0.410219	−	0.911987i	$-0.634548\pi$
$103$	−4.10537	+	0.893069i	−0.404514	+	0.0879967i	0.00570479	+	0.999984i	$0.498184\pi$
$104$	−3.61653	+	5.62743i	−0.354630	+	0.551815i
$105$	0.0730506	+	0.0210474i	0.00712901	+	0.00205402i
$106$	−1.52975	+	5.20984i	−0.148582	+	0.506025i
$107$	−4.43382	+	5.92289i	−0.428634	+	0.572587i	−0.961914	−	0.273351i	$-0.911868\pi$
$107$	−4.43382	+	5.92289i	−0.428634	+	0.572587i	0.533281	+	0.845938i	$0.320959\pi$
$108$	−0.111460	+	1.55842i	−0.0107253	+	0.149959i
$109$	−4.31113	−	9.44005i	−0.412931	−	0.904193i	−0.995794	−	0.0916222i	$-0.970795\pi$
$109$	−4.31113	−	9.44005i	−0.412931	−	0.904193i	0.582863	−	0.812571i	$-0.301932\pi$
$110$	1.32451	+	0.0879752i	0.126287	+	0.00838811i
$111$	−1.80987	−	0.826541i	−0.171785	−	0.0784518i
$112$	−0.103311	+	0.0773376i	−0.00976197	+	0.00730772i
$113$	1.16970	−	5.37701i	0.110036	−	0.505827i	−0.888831	−	0.458235i	$-0.848482\pi$
$113$	1.16970	−	5.37701i	0.110036	−	0.505827i	0.998867	−	0.0475915i	$-0.0151546\pi$
$114$	2.00857			0.188120
$115$	−8.71489	+	6.24905i	−0.812668	+	0.582727i
$116$	−3.34765			−0.310822
$117$	4.16708	−	19.1557i	0.385246	−	1.77095i
$118$	−9.07203	+	6.79123i	−0.835148	+	0.625184i
$119$	0.414553	+	0.189320i	0.0380020	+	0.0173549i
$120$	−0.388024	−	0.443237i	−0.0354216	−	0.0404618i
$121$	4.42317	+	9.68539i	0.402106	+	0.880490i
$122$	0.235475	−	3.29236i	0.0213189	−	0.298077i
$123$	−1.39208	+	1.85959i	−0.125519	+	0.167674i
$124$	1.81848	−	6.19317i	0.163304	−	0.556163i
$125$	6.18707	+	9.31237i	0.553388	+	0.832923i
$126$	0.204469	−	0.318160i	0.0182155	−	0.0283439i
$127$	−3.52749	+	0.767358i	−0.313014	+	0.0680920i	−0.366328	−	0.930486i	$-0.619385\pi$
$127$	−3.52749	+	0.767358i	−0.313014	+	0.0680920i	0.0533142	+	0.998578i	$0.483022\pi$
$128$	0.997452	−	0.0713392i	0.0881631	−	0.00630555i
$129$	2.94721	+	0.865378i	0.259487	+	0.0761922i
$130$	8.15058	+	12.5421i	0.714853	+	1.10002i
$131$	6.13048	+	7.07495i	0.535623	+	0.618141i	0.957473	−	0.288524i	$-0.0931646\pi$
$131$	6.13048	+	7.07495i	0.535623	+	0.618141i	−0.421850	+	0.906666i	$0.638619\pi$
$132$	−0.0546538	+	0.146533i	−0.00475700	+	0.0127540i
$133$	−0.863558	−	0.471538i	−0.0748800	−	0.0408875i
$134$	−2.34757	+	5.14046i	−0.202799	+	0.444068i
$135$	3.07474	+	1.65873i	0.264632	+	0.142761i
$136$	−1.90924	−	2.97084i	−0.163716	−	0.254747i
$137$	−5.33800	−	5.33800i	−0.456056	−	0.456056i	0.441302	−	0.897358i	$-0.354517\pi$
$137$	−5.33800	−	5.33800i	−0.456056	−	0.456056i	−0.897358	+	0.441302i	$0.854517\pi$
$138$	−0.411090	−	1.19470i	−0.0349943	−	0.101699i
$139$			4.12747i			0.350088i	0.984561	+	0.175044i	$0.0560067\pi$
$139$			4.12747i			0.350088i	−0.984561	+	0.175044i	$0.943993\pi$
$140$	0.0627700	+	0.281658i	0.00530503	+	0.0238044i
$141$	0.385404	−	2.68054i	0.0324569	−	0.225742i
$142$	−1.04196	−	2.79359i	−0.0874389	−	0.234433i
$143$	1.90313	−	3.48533i	0.159148	−	0.291458i
$144$	−2.66576	+	1.21741i	−0.222147	+	0.101451i
$145$	−3.07502	+	6.82482i	−0.255366	+	0.566770i
$146$	−0.0199100	−	0.138477i	−0.00164776	−	0.0114605i
$147$	−1.61470	+	0.881694i	−0.133178	+	0.0727209i
$148$	−0.538787	−	7.53323i	−0.0442880	−	0.619227i
$149$	−13.0303	−	8.37405i	−1.06748	−	0.686029i	−0.115849	−	0.993267i	$-0.536959\pi$
$149$	−13.0303	−	8.37405i	−1.06748	−	0.686029i	−0.951633	+	0.307238i	$0.900595\pi$
$150$	−1.26004	+	0.383920i	−0.102882	+	0.0313469i
$151$	−7.67620	+	8.85880i	−0.624680	+	0.720919i	−0.976589	−	0.215115i	$-0.930987\pi$
$151$	−7.67620	+	8.85880i	−0.624680	+	0.720919i	0.351909	+	0.936034i	$0.385533\pi$
$152$	3.65388	+	6.69158i	0.296369	+	0.542759i
$153$	8.28498	+	6.20206i	0.669801	+	0.501407i
$154$	0.0578982	−	0.0501691i	0.00466557	−	0.00404274i
$155$	−10.9556	−	9.39611i	−0.879972	−	0.754713i
$156$	−1.69090	+	0.496493i	−0.135380	+	0.0397513i
$157$	−5.23752	+	1.95349i	−0.417999	+	0.155906i	−0.549659	−	0.835389i	$-0.685242\pi$
$157$	−5.23752	+	1.95349i	−0.417999	+	0.155906i	0.131659	+	0.991295i	$0.457970\pi$
$158$	−2.11367	−	2.82353i	−0.168154	−	0.224628i
$159$	−1.20338	+	0.773366i	−0.0954343	+	0.0613319i
$160$	0.770781	−	2.09902i	0.0609356	−	0.165942i
$161$	−0.103729	+	0.610154i	−0.00817497	+	0.0480869i
$162$	5.92568	−	5.92568i	0.465565	−	0.465565i
$163$	18.2649	+	3.97329i	1.43062	+	0.311212i	0.860122	−	0.510088i	$-0.170387\pi$
$163$	18.2649	+	3.97329i	1.43062	+	0.311212i	0.570497	+	0.821300i	$0.306751\pi$
$164$	−8.72767	−	1.25485i	−0.681517	−	0.0979873i
$165$	0.248531	+	0.246021i	0.0193481	+	0.0191527i
$166$	0.0791547	+	0.269576i	0.00614359	+	0.0209232i
$167$	20.0103	+	7.46345i	1.54844	+	0.577539i	0.971039	−	0.238921i	$-0.0767936\pi$
$167$	20.0103	+	7.46345i	1.54844	+	0.577539i	0.577403	+	0.816460i	$0.304066\pi$
$168$	−0.0339116	−	0.00242540i	−0.00261633	−	0.000187124i
$169$	31.4241	−	4.51811i	2.41724	−	0.347547i
$170$	−7.81036	+	1.16346i	−0.599027	+	0.0892330i
$171$	−16.8860	−	14.6318i	−1.29131	−	1.11892i
$172$	2.47838	+	11.3929i	0.188975	+	0.868702i
$173$	1.81911	+	8.36230i	0.138304	+	0.635774i	0.993146	+	0.116884i	$0.0372907\pi$
$173$	1.81911	+	8.36230i	0.138304	+	0.635774i	−0.854841	+	0.518889i	$0.826346\pi$
$174$	−0.666517	−	0.577541i	−0.0505285	−	0.0437832i
$175$	0.631871	+	0.130751i	0.0477649	+	0.00988386i
$176$	−0.587600	+	0.0844841i	−0.0442920	+	0.00636823i
$177$	−2.97787	−	0.212982i	−0.223830	−	0.0160087i
$178$	1.78214	+	0.664703i	0.133577	+	0.0498216i
$179$	−2.31893	−	7.89754i	−0.173325	−	0.590289i	−0.999633	−	0.0270722i	$-0.991382\pi$
$179$	−2.31893	−	7.89754i	−0.173325	−	0.590289i	0.826309	−	0.563217i	$-0.190437\pi$
$180$	0.0332635	+	6.55293i	0.00247931	+	0.488426i
$181$	5.20125	+	0.747827i	0.386606	+	0.0555856i	0.332878	−	0.942970i	$-0.391980\pi$
$181$	5.20125	+	0.747827i	0.386606	+	0.0555856i	0.0537284	+	0.998556i	$0.482889\pi$
$182$	0.843540	+	0.183501i	0.0625273	+	0.0136020i
$183$	0.614885	−	0.614885i	0.0454536	−	0.0454536i
$184$	3.23233	−	3.54289i	0.238290	−	0.261185i
$185$	−15.8528	−	5.82130i	−1.16552	−	0.427990i
$186$	1.43051	−	0.919334i	0.104890	−	0.0674088i
$187$	1.25633	+	1.67826i	0.0918721	+	0.122727i
$188$	9.63139	−	3.59232i	0.702441	−	0.261997i
$189$	0.193462	−	0.0568056i	0.0140723	−	0.00413200i
$190$	16.9984	−	1.30250i	1.23319	−	0.0944936i
$191$	9.12753	−	7.90905i	0.660445	−	0.572279i	−0.258816	−	0.965927i	$-0.583332\pi$
$191$	9.12753	−	7.90905i	0.660445	−	0.572279i	0.919261	+	0.393648i	$0.128787\pi$
$192$	0.210900	+	0.157878i	0.0152204	+	0.0113939i
$193$	5.86823	+	10.7469i	0.422405	+	0.773577i	0.999057	−	0.0434130i	$-0.0138231\pi$
$193$	5.86823	+	10.7469i	0.422405	+	0.773577i	−0.576652	+	0.816990i	$0.695641\pi$
$194$	6.92675	−	7.99389i	0.497311	−	0.573928i
$195$	−0.540998	+	3.90328i	−0.0387417	+	0.279520i
$196$	−5.87476	−	3.77548i	−0.419626	−	0.269677i
$197$	0.533270	+	7.45610i	0.0379939	+	0.531225i	0.980434	+	0.196849i	$0.0630709\pi$
$197$	0.533270	+	7.45610i	0.0379939	+	0.531225i	−0.942440	+	0.334376i	$0.891475\pi$
$198$	1.52692	−	0.833761i	0.108513	−	0.0592528i
$199$	0.825740	+	5.74315i	0.0585351	+	0.407121i	0.997931	+	0.0642876i	$0.0204775\pi$
$199$	0.825740	+	5.74315i	0.0585351	+	0.407121i	−0.939396	+	0.342833i	$0.888613\pi$
$200$	−3.57124	−	3.49946i	−0.252525	−	0.247449i
$201$	−1.35424	+	0.618459i	−0.0955205	+	0.0436228i
$202$	5.95899	−	10.9131i	0.419273	−	0.767842i
$203$	0.150975	+	0.404780i	0.0105964	+	0.0284100i
$204$	0.132402	−	0.920878i	0.00927001	−	0.0644743i
$205$	−10.5751	+	16.6403i	−0.738599	+	1.16221i
$206$		−	4.20139i		−	0.292724i
$207$	−5.24699	+	13.0385i	−0.364691	+	0.906237i
$208$	−4.73008	−	4.73008i	−0.327972	−	0.327972i
$209$	−2.44696	−	3.80754i	−0.169260	−	0.263373i
$210$	−0.0360944	+	0.0669072i	−0.00249075	+	0.00461704i
$211$	−2.75868	+	6.04067i	−0.189915	+	0.415857i	−0.980506	−	0.196488i	$-0.937046\pi$
$211$	−2.75868	+	6.04067i	−0.189915	+	0.415857i	0.790591	+	0.612345i	$0.209774\pi$
$212$	−4.76561	−	2.60222i	−0.327303	−	0.178721i
$213$	0.274500	−	0.735963i	0.0188084	−	0.0504273i
$214$	−4.84506	−	5.59149i	−0.331201	−	0.382227i
$215$	25.5032	+	5.41244i	1.73930	+	0.369125i
$216$	−1.49911	−	0.440178i	−0.102001	−	0.0299503i
$217$	−0.830856	+	0.0594240i	−0.0564022	+	0.00403396i
$218$	10.1407	−	2.20598i	0.686816	−	0.149408i
$219$	0.0199261	−	0.0310057i	0.00134648	−	0.00209517i
$220$	−0.367509	+	1.27554i	−0.0247774	+	0.0859966i
$221$	−6.65537	+	22.6661i	−0.447689	+	1.52469i
$222$	1.19237	−	1.59282i	0.0800265	−	0.106903i
$223$	0.626341	−	8.75739i	0.0419429	−	0.586438i	−0.932409	−	0.361406i	$-0.882297\pi$
$223$	0.626341	−	8.75739i	0.0419429	−	0.586438i	0.974351	−	0.225032i	$-0.0722486\pi$
$224$	−0.0536099	−	0.117389i	−0.00358196	−	0.00784340i
$225$	13.3899	+	5.95144i	0.892662	+	0.396763i
$226$	5.00549	+	2.28593i	0.332960	+	0.152058i
$227$	12.8410	−	9.61262i	0.852284	−	0.638012i	−0.0811732	−	0.996700i	$-0.525867\pi$
$227$	12.8410	−	9.61262i	0.852284	−	0.638012i	0.933458	+	0.358688i	$0.116776\pi$
$228$	−0.426952	+	1.96266i	−0.0282756	+	0.129981i
$229$	−17.3793			−1.14845			−0.574227	−	0.818696i	$-0.694697\pi$
$229$	−17.3793			−1.14845			−0.574227	+	0.818696i	$0.694697\pi$
$230$	−4.25376	−	9.84406i	−0.280484	−	0.649098i
$231$	0.0201828			0.00132793
$232$	0.711595	−	3.27115i	0.0467185	−	0.214761i
$233$	14.5184	−	10.8683i	0.951130	−	0.712007i	−0.00650891	−	0.999979i	$-0.502072\pi$
$233$	14.5184	−	10.8683i	0.951130	−	0.712007i	0.957639	+	0.287972i	$0.0929810\pi$
$234$	17.8322	+	8.14369i	1.16573	+	0.532370i
$235$	1.52338	−	22.9352i	0.0993744	−	1.49613i
$236$	−4.70764	−	10.3083i	−0.306441	−	0.671012i
$237$	0.0662872	−	0.926817i	0.00430582	−	0.0602032i
$238$	−0.273113	+	0.364836i	−0.0177033	+	0.0236488i
$239$	−2.94260	+	10.0216i	−0.190341	+	0.648242i	0.807920	+	0.589292i	$0.200593\pi$
$239$	−2.94260	+	10.0216i	−0.190341	+	0.648242i	−0.998261	+	0.0589499i	$0.981225\pi$
$240$	0.515588	−	0.284939i	0.0332811	−	0.0183928i
$241$	7.91251	−	12.3121i	0.509690	−	0.793093i	−0.487084	−	0.873355i	$-0.661940\pi$
$241$	7.91251	−	12.3121i	0.509690	−	0.793093i	0.996774	+	0.0802625i	$0.0255759\pi$
$242$	−10.4043	+	2.26331i	−0.668811	+	0.145491i
$243$	6.87736	−	0.491878i	0.441183	−	0.0315540i
$244$	3.16707	+	0.929936i	0.202751	+	0.0595330i
$245$	−13.0933	+	8.50881i	−0.836503	+	0.543608i
$246$	−1.52119	−	1.75555i	−0.0969876	−	0.111930i
$247$	17.8229	−	47.7851i	1.13405	−	3.04049i
$248$	5.66509	+	3.09337i	0.359734	+	0.196429i
$249$	−0.0307479	+	0.0673284i	−0.00194857	+	0.00426677i
$250$	−10.4147	+	4.06619i	−0.658684	+	0.257169i
$251$	12.3392	+	19.2002i	0.778846	+	1.21191i	0.972970	+	0.230930i	$0.0741770\pi$
$251$	12.3392	+	19.2002i	0.778846	+	1.21191i	−0.194125	+	0.980977i	$0.562187\pi$
$252$	0.267426	+	0.267426i	0.0168463	+	0.0168463i
$253$	−1.76392	+	2.23474i	−0.110896	+	0.140497i
$254$		−	3.60999i		−	0.226511i
$255$	−1.75576	−	1.11581i	−0.109950	−	0.0698746i
$256$	−0.142315	+	0.989821i	−0.00889468	+	0.0618638i
$257$	−0.877771	−	2.35340i	−0.0547539	−	0.146801i	0.906693	−	0.421791i	$-0.138598\pi$
$257$	−0.877771	−	2.35340i	−0.0547539	−	0.146801i	−0.961447	+	0.274990i	$0.911326\pi$
$258$	−1.47207	+	2.69590i	−0.0916474	+	0.167840i
$259$	−0.886579	+	0.404887i	−0.0550893	+	0.0251584i
$260$	−13.9880	+	5.29829i	−0.867500	+	0.328586i
$261$	1.39620	+	9.71076i	0.0864224	+	0.601081i
$262$	−8.21639	+	4.48649i	−0.507610	+	0.277176i
$263$	1.59179	+	22.2561i	0.0981540	+	1.37237i	0.772997	+	0.634410i	$0.218757\pi$
$263$	1.59179	+	22.2561i	0.0981540	+	1.37237i	−0.674843	+	0.737962i	$0.735789\pi$
$264$	−0.131566	−	0.0845525i	−0.00809735	−	0.00520385i
$265$	−9.68261	+	7.32530i	−0.594798	+	0.449989i
$266$	0.644325	−	0.743590i	0.0395061	−	0.0455924i
$267$	0.240148	+	0.439798i	0.0146968	+	0.0269152i
$268$	−4.52397	−	3.38660i	−0.276345	−	0.206870i
$269$	18.2383	−	15.8036i	1.11201	−	0.963561i	0.112462	−	0.993656i	$-0.464126\pi$
$269$	18.2383	−	15.8036i	1.11201	−	0.963561i	0.999547	+	0.0300949i	$0.00958094\pi$
$270$	−2.27441	+	2.65189i	−0.138416	+	0.161389i
$271$	−5.38988	+	1.58261i	−0.327412	+	0.0961368i	−0.441307	−	0.897356i	$-0.645485\pi$
$271$	−5.38988	+	1.58261i	−0.327412	+	0.0961368i	0.113896	+	0.993493i	$0.463667\pi$
$272$	3.30878	−	1.23411i	0.200624	−	0.0748290i
$273$	0.136291	+	0.182063i	0.00824871	+	0.0110190i
$274$	6.35068	−	4.08134i	0.383659	−	0.246562i
$275$	2.26284	+	1.92089i	0.136454	+	0.115834i
$276$	1.25478	−	0.147744i	0.0755288	−	0.00889313i
$277$	−0.0727851	+	0.0727851i	−0.00437323	+	0.00437323i	−0.709290	−	0.704917i	$-0.750984\pi$
$277$	−0.0727851	+	0.0727851i	−0.00437323	+	0.00437323i	0.704917	+	0.709290i	$0.250984\pi$
$278$	−4.03315	−	0.877357i	−0.241892	−	0.0526204i
$279$	−18.7234	−	2.69201i	−1.12094	−	0.161167i
$280$	−0.288564	+	0.00146479i	−0.0172450	+	8.75377e-5i
$281$	−3.15299	−	10.7381i	−0.188092	−	0.640582i	−0.998502	−	0.0547187i	$-0.982574\pi$
$281$	−3.15299	−	10.7381i	−0.188092	−	0.640582i	0.810410	−	0.585863i	$-0.199244\pi$
$282$	2.53736	+	0.946387i	0.151098	+	0.0563565i
$283$	−14.5393	−	1.03987i	−0.864273	−	0.0618140i	−0.367840	−	0.929889i	$-0.619903\pi$
$283$	−14.5393	−	1.03987i	−0.864273	−	0.0618140i	−0.496433	+	0.868075i	$0.665357\pi$
$284$	2.95123	−	0.424323i	0.175123	−	0.0251789i
$285$	3.60908	+	2.67325i	0.213783	+	0.158349i
$286$	3.00114	+	2.60050i	0.177461	+	0.153771i
$287$	0.241878	+	1.11190i	0.0142776	+	0.0656331i
$288$	−0.622943	−	2.86362i	−0.0367073	−	0.168741i
$289$	3.42274	+	2.96582i	0.201337	+	0.174460i
$290$	−6.01521	−	4.45546i	−0.353225	−	0.261634i
$291$	2.75823	−	0.396574i	0.161690	−	0.0232476i
$292$	0.139545	+	0.00998043i	0.00816624	+	0.000584061i
$293$	−7.02273	−	2.61934i	−0.410272	−	0.153024i	0.135850	−	0.990729i	$-0.456624\pi$
$293$	−7.02273	−	2.61934i	−0.410272	−	0.153024i	−0.546122	+	0.837706i	$0.683896\pi$
$294$	−0.518315	−	1.76522i	−0.0302287	−	0.102950i
$295$	−25.3396	+	0.128627i	−1.47533	+	0.00748895i
$296$	7.47560	+	1.07483i	0.434510	+	0.0624731i
$297$	0.906308	+	0.197155i	0.0525893	+	0.0114401i
$298$	10.9525	−	10.9525i	0.634459	−	0.634459i
$299$	−32.0704	−	0.821005i	−1.85468	−	0.0474799i
$300$	−0.107304	−	1.31286i	−0.00619520	−	0.0757978i
$301$	1.26580	−	0.813480i	0.0729595	−	0.0468882i
$302$	−7.02466	−	9.38384i	−0.404224	−	0.539980i
$303$	3.06917	−	1.14474i	0.176319	−	0.0657637i
$304$	−7.31535	+	2.14798i	−0.419564	+	0.123195i
$305$	4.80499	−	5.60247i	0.275133	−	0.320796i
$306$	−7.82142	+	6.77730i	−0.447121	+	0.387432i
$307$	−6.59528	−	4.93716i	−0.376412	−	0.281779i	0.394275	−	0.918993i	$-0.370996\pi$
$307$	−6.59528	−	4.93716i	−0.376412	−	0.281779i	−0.770687	+	0.637214i	$0.780087\pi$
$308$	0.0367154	+	0.0672393i	0.00209206	+	0.00383131i
$309$	0.724828	−	0.836496i	0.0412340	−	0.0475866i
$310$	11.5101	−	8.70791i	0.653732	−	0.494576i
$311$	−2.07954	−	1.33644i	−0.117920	−	0.0757826i	0.480351	−	0.877076i	$-0.340509\pi$
$311$	−2.07954	−	1.33644i	−0.117920	−	0.0757826i	−0.598271	+	0.801294i	$0.704146\pi$
$312$	−0.125720	−	1.75780i	−0.00711750	−	0.0995156i
$313$	15.4313	−	8.42614i	0.872230	−	0.476274i	0.0202181	−	0.999796i	$-0.493564\pi$
$313$	15.4313	−	8.42614i	0.872230	−	0.476274i	0.852012	+	0.523522i	$0.175382\pi$
$314$	−0.795535	−	5.53307i	−0.0448947	−	0.312249i
$315$	0.790845	−	0.299551i	0.0445590	−	0.0168778i
$316$	3.20830	−	1.46518i	0.180481	−	0.0824228i
$317$	−6.36085	+	11.6490i	−0.357261	+	0.654274i	−0.993064	−	0.117577i	$-0.962487\pi$
$317$	−6.36085	+	11.6490i	−0.357261	+	0.654274i	0.635803	+	0.771851i	$0.280669\pi$
$318$	−0.499895	−	1.34027i	−0.0280327	−	0.0751586i
$319$	−0.282823	+	1.96708i	−0.0158351	+	0.110135i
$320$	1.88721	+	1.19935i	0.105498	+	0.0670455i
$321$		−	1.94914i		−	0.108790i
$322$	−0.574161	−	0.231056i	−0.0319968	−	0.0128762i
$323$	19.0384	+	19.0384i	1.05932	+	1.05932i
$324$	4.53067	+	7.04985i	0.251704	+	0.391659i
$325$	−2.04725	+	33.3840i	−0.113561	+	1.85181i
$326$	−7.76498	+	17.0029i	−0.430062	+	0.941705i
$327$	2.39959	+	1.31028i	0.132698	+	0.0724585i
$328$	3.08137	−	8.26148i	0.170140	−	0.456164i
$329$	−0.868729	−	1.00257i	−0.0478946	−	0.0552733i
$330$	−0.293228	+	0.190556i	−0.0161417	+	0.0104898i
$331$	15.9178	+	4.67388i	0.874921	+	0.256900i	0.688207	−	0.725514i	$-0.258398\pi$
$331$	15.9178	+	4.67388i	0.874921	+	0.256900i	0.186714	+	0.982414i	$0.440216\pi$
$332$	−0.280241	+	0.0200432i	−0.0153802	+	0.00110001i
$333$	−21.6274	+	4.70476i	−1.18518	+	0.257819i
$334$	−11.5464	+	17.9665i	−0.631789	+	0.983084i
$335$	−11.0598	+	6.11217i	−0.604259	+	0.333943i
$336$	0.00957840	−	0.0326210i	0.000522544	−	0.00177962i
$337$	2.40274	−	3.20968i	0.130886	−	0.174843i	−0.730311	−	0.683115i	$-0.760625\pi$
$337$	2.40274	−	3.20968i	0.130886	−	0.174843i	0.861196	+	0.508272i	$0.169716\pi$
$338$	−2.26482	+	31.6664i	−0.123190	+	1.72242i
$339$	0.602222	+	1.31868i	0.0327082	+	0.0716210i
$340$	0.523344	−	7.87918i	0.0283823	−	0.427308i
$341$	−3.48547	−	1.59176i	−0.188749	−	0.0861987i
$342$	17.8868	−	13.3899i	0.967208	−	0.724042i
$343$	−0.383589	+	1.76333i	−0.0207119	+	0.0952109i
$344$	−11.6594			−0.628632
$345$	0.851386	−	2.69381i	0.0458371	−	0.145030i
$346$	−8.55787			−0.460074
$347$	−1.37102	+	6.30247i	−0.0736002	+	0.338335i	−0.999192	−	0.0401883i	$-0.987204\pi$
$347$	−1.37102	+	6.30247i	−0.0736002	+	0.338335i	0.925592	+	0.378523i	$0.123568\pi$
$348$	0.706020	−	0.528520i	0.0378467	−	0.0283317i
$349$	8.91227	+	4.07010i	0.477063	+	0.217867i	0.639409	−	0.768867i	$-0.279179\pi$
$349$	8.91227	+	4.07010i	0.477063	+	0.217867i	−0.162347	+	0.986734i	$0.551906\pi$
$350$	−0.262077	+	0.589637i	−0.0140086	+	0.0315174i
$351$	4.34167	+	9.50693i	0.231741	+	0.507443i
$352$	0.0423499	−	0.592130i	0.00225726	−	0.0315606i
$353$	−5.51087	+	7.36166i	−0.293314	+	0.391822i	−0.922856	−	0.385145i	$-0.874152\pi$
$353$	−5.51087	+	7.36166i	−0.293314	+	0.391822i	0.629542	+	0.776966i	$0.283242\pi$
$354$	0.841106	−	2.86454i	0.0447043	−	0.152249i
$355$	1.84582	−	6.40641i	0.0979659	−	0.340017i
$356$	−1.02833	+	1.60012i	−0.0545015	+	0.0848060i
$357$	−0.117319	+	0.0255211i	−0.00620917	+	0.00135072i
$358$	8.20997	−	0.587189i	0.433911	−	0.0310339i
$359$	−5.58113	−	1.63877i	−0.294561	−	0.0864909i	0.131113	−	0.991367i	$-0.458145\pi$
$359$	−5.58113	−	1.63877i	−0.294561	−	0.0864909i	−0.425674	+	0.904876i	$0.639963\pi$
$360$	−6.41024	−	1.36042i	−0.337849	−	0.0717005i
$361$	−25.6235	−	29.5711i	−1.34860	−	1.55637i
$362$	−1.83634	+	4.92343i	−0.0965160	+	0.258769i
$363$	−2.46196	−	1.34433i	−0.129219	−	0.0705590i
$364$	−0.358615	+	0.785257i	−0.0187965	+	0.0411586i
$365$	0.148527	−	0.275320i	0.00777426	−	0.0144109i
$366$	0.470130	+	0.731536i	0.0245741	+	0.0382380i
$367$	−0.794255	−	0.794255i	−0.0414598	−	0.0414598i	0.686073	−	0.727533i	$-0.259333\pi$
$367$	−0.794255	−	0.794255i	−0.0414598	−	0.0414598i	−0.727533	+	0.686073i	$0.759333\pi$
$368$	2.77484	+	3.91155i	0.144649	+	0.203904i
$369$			25.8403i			1.34519i
$370$	9.05802	−	14.2531i	0.470904	−	0.740984i
$371$	−0.0997231	+	0.693589i	−0.00517736	+	0.0360094i
$372$	0.594247	+	1.59324i	0.0308103	+	0.0826056i
$373$	−12.3806	+	22.6734i	−0.641045	+	1.17399i	0.331980	+	0.943286i	$0.392283\pi$
$373$	−12.3806	+	22.6734i	−0.641045	+	1.17399i	−0.973025	+	0.230699i	$0.925899\pi$
$374$	−1.90696	+	0.870881i	−0.0986067	+	0.0450322i
$375$	−2.77507	−	0.987178i	−0.143304	−	0.0509776i
$376$	1.46293	+	10.1749i	0.0754448	+	0.524730i
$377$	−19.6544	+	10.7321i	−1.01225	+	0.552731i
$378$	0.0143841	+	0.201116i	0.000739837	+	0.0103443i
$379$	−16.4009	−	10.5402i	−0.842459	−	0.541415i	0.0467555	−	0.998906i	$-0.485112\pi$
$379$	−16.4009	−	10.5402i	−0.842459	−	0.541415i	−0.889214	+	0.457491i	$0.848748\pi$
$380$	−2.34052	+	16.8868i	−0.120066	+	0.866272i
$381$	0.622799	−	0.718748i	0.0319069	−	0.0368226i
$382$	5.78811	+	10.6001i	0.296145	+	0.542350i
$383$	−2.84169	−	2.12726i	−0.145203	−	0.108698i	0.524206	−	0.851591i	$-0.324362\pi$
$383$	−2.84169	−	2.12726i	−0.145203	−	0.108698i	−0.669410	+	0.742893i	$0.733453\pi$
$384$	−0.199100	+	0.172521i	−0.0101603	+	0.00880393i
$385$	0.170805	−	0.0130880i	0.00870504	−	0.000667027i
$386$	−11.7487	+	3.44972i	−0.597991	+	0.175586i
$387$	32.0146	−	11.9408i	1.62739	−	0.606986i
$388$	6.33882	+	8.46767i	0.321805	+	0.429881i
$389$	18.2951	−	11.7576i	0.927600	−	0.596132i	0.0127468	−	0.999919i	$-0.495942\pi$
$389$	18.2951	−	11.7576i	0.927600	−	0.596132i	0.914853	+	0.403786i	$0.132306\pi$
$390$	−3.69908	−	1.35834i	−0.187310	−	0.0687820i
$391$	7.42750	−	15.2206i	0.375625	−	0.769739i
$392$	4.93797	−	4.93797i	0.249405	−	0.249405i
$393$	−2.40990	−	0.524241i	−0.121563	−	0.0264445i
$394$	−7.39906	−	1.06382i	−0.372759	−	0.0535947i
$395$	−0.0400332	−	7.88657i	−0.00201429	−	0.396816i
$396$	0.490137	+	1.66925i	0.0246303	+	0.0838832i
$397$	−8.63130	−	3.21931i	−0.433193	−	0.161573i	0.123402	−	0.992357i	$-0.460620\pi$
$397$	−8.63130	−	3.21931i	−0.433193	−	0.161573i	−0.556595	+	0.830784i	$0.687892\pi$
$398$	−5.78742	−	0.413925i	−0.290097	−	0.0207482i
$399$	0.256570	−	0.0368892i	0.0128446	−	0.00184677i
$400$	4.17861	−	2.74577i	0.208930	−	0.137288i
$401$	−14.2281	−	12.3287i	−0.710518	−	0.615668i	0.222738	−	0.974878i	$-0.428500\pi$
$401$	−14.2281	−	12.3287i	−0.710518	−	0.615668i	−0.933256	+	0.359211i	$0.883046\pi$
$402$	−0.316462	−	1.45475i	−0.0157837	−	0.0725564i
$403$	−9.17797	−	42.1905i	−0.457187	−	2.10166i
$404$	9.39701	+	8.14255i	0.467519	+	0.405107i
$405$	18.5341	−	2.76090i	0.920969	−	0.137190i
$406$	−0.427622	+	0.0614827i	−0.0212225	+	0.00305134i
$407$	−4.47204	−	0.319847i	−0.221671	−	0.0158542i
$408$	0.871689	+	0.325123i	0.0431550	+	0.0160960i
$409$	5.41828	+	18.4530i	0.267917	+	0.912441i	0.978049	+	0.208373i	$0.0668169\pi$
$409$	5.41828	+	18.4530i	0.267917	+	0.912441i	−0.710132	+	0.704068i	$0.751365\pi$
$410$	−14.0122	−	13.8706i	−0.692011	−	0.685021i
$411$	1.96854	+	0.283033i	0.0971008	+	0.0139610i
$412$	4.10537	+	0.893069i	0.202257	+	0.0439983i
$413$	−1.03411	+	1.03411i	−0.0508854	+	0.0508854i
$414$	−11.6252	−	7.89861i	−0.571347	−	0.388195i
$415$	−0.216556	+	0.589735i	−0.0106303	+	0.0289489i
$416$	5.62743	−	3.61653i	0.275907	−	0.177315i
$417$	−0.651637	−	0.870485i	−0.0319108	−	0.0426278i
$418$	4.24067	−	1.58169i	0.207418	−	0.0773628i
$419$	11.3802	−	3.34154i	0.555960	−	0.163245i	0.00833037	−	0.999965i	$-0.497348\pi$
$419$	11.3802	−	3.34154i	0.555960	−	0.163245i	0.547630	+	0.836721i	$0.315530\pi$
$420$	−0.0577058	−	0.0494917i	−0.00281575	−	0.00241495i
$421$	17.9877	−	15.5864i	0.876665	−	0.759634i	−0.0951295	−	0.995465i	$-0.530327\pi$
$421$	17.9877	−	15.5864i	0.876665	−	0.759634i	0.971794	+	0.235831i	$0.0757811\pi$
$422$	−5.31622	−	3.97967i	−0.258790	−	0.193727i
$423$	−14.4374	−	26.4402i	−0.701972	−	1.28557i
$424$	3.55575	−	4.10356i	0.172683	−	0.199286i
$425$	−15.5825	−	8.30443i	−0.755861	−	0.402824i
$426$	0.660795	+	0.424667i	0.0320156	+	0.0205752i
$427$	−0.0303883	−	0.424884i	−0.00147059	−	0.0205616i
$428$	6.49360	−	3.54577i	0.313880	−	0.171391i
$429$	0.148885	+	1.03552i	0.00718824	+	0.0499953i
$430$	−10.7098	+	23.7698i	−0.516474	+	1.14628i
$431$	29.3256	−	13.3926i	1.41257	−	0.645098i	0.444497	−	0.895780i	$-0.353382\pi$
$431$	29.3256	−	13.3926i	1.41257	−	0.645098i	0.968069	+	0.250683i	$0.0806550\pi$
$432$	0.748777	−	1.37128i	0.0360256	−	0.0659759i
$433$	2.30470	+	6.17914i	0.110757	+	0.296950i	0.980489	−	0.196573i	$-0.0629814\pi$
$433$	2.30470	+	6.17914i	0.110757	+	0.296950i	−0.869732	+	0.493524i	$0.835709\pi$
$434$	0.118545	−	0.824500i	0.00569035	−	0.0395773i
$435$	−0.428966	−	1.92483i	−0.0205673	−	0.0922887i
$436$			10.3779i			0.497010i
$437$	−18.3389	+	31.6327i	−0.877270	+	1.51320i
$438$	0.0260615	+	0.0260615i	0.00124527	+	0.00124527i
$439$	−21.7901	−	33.9060i	−1.03998	−	1.61824i	−0.750271	−	0.661131i	$-0.770077\pi$
$439$	−21.7901	−	33.9060i	−1.03998	−	1.61824i	−0.289712	−	0.957114i	$-0.593560\pi$
$440$	−1.16827	−	0.630245i	−0.0556949	−	0.0300457i
$441$	−8.50162	+	18.6159i	−0.404839	+	0.886474i
$442$	−20.7334	−	11.3213i	−0.986188	−	0.538499i
$443$	−0.122943	+	0.329622i	−0.00584118	+	0.0156608i	−0.939838	−	0.341622i	$-0.889024\pi$
$443$	−0.122943	+	0.329622i	−0.00584118	+	0.0156608i	0.933996	+	0.357282i	$0.116297\pi$
$444$	1.30296	+	1.50370i	0.0618357	+	0.0713623i
$445$	2.31755	+	3.56625i	0.109863	+	0.169057i
$446$	8.42412	+	2.47354i	0.398893	+	0.117126i
$447$	4.07016	−	0.291104i	0.192512	−	0.0137687i
$448$	0.126102	−	0.0274318i	0.00595777	−	0.00129603i
$449$	4.63805	−	7.21695i	0.218883	−	0.340589i	−0.714395	−	0.699742i	$-0.753298\pi$
$449$	4.63805	−	7.21695i	0.218883	−	0.340589i	0.933279	+	0.359153i	$0.116935\pi$
$450$	−8.66166	+	11.8189i	−0.408315	+	0.557146i
$451$	−1.47470	+	5.02236i	−0.0694408	+	0.236494i
$452$	−3.29768	+	4.40519i	−0.155110	+	0.207203i
$453$	0.220302	−	3.08022i	0.0103507	−	0.144722i
$454$	6.66340	+	14.5908i	0.312729	+	0.684781i
$455$	1.27148	+	1.45241i	0.0596081	+	0.0680900i
$456$	−1.82706	−	0.834389i	−0.0855598	−	0.0390738i
$457$	28.2790	−	21.1694i	1.32283	−	0.990261i	0.323809	−	0.946123i	$-0.395037\pi$
$457$	28.2790	−	21.1694i	1.32283	−	0.990261i	0.999025	−	0.0441386i	$-0.0140543\pi$
$458$	3.69423	−	16.9821i	0.172620	−	0.793522i
$459$	−5.51751			−0.257535
$460$	10.5233	−	2.06404i	0.490651	−	0.0962362i
$461$	31.7307			1.47784			0.738922	−	0.673791i	$-0.235335\pi$
$461$	31.7307			1.47784			0.738922	+	0.673791i	$0.235335\pi$
$462$	−0.00429015	+	0.0197215i	−0.000199596	+	0.000917528i
$463$	14.4668	−	10.8297i	0.672331	−	0.503301i	−0.207715	−	0.978189i	$-0.566603\pi$
$463$	14.4668	−	10.8297i	0.672331	−	0.503301i	0.880046	+	0.474889i	$0.157512\pi$
$464$	3.04513	+	1.39067i	0.141367	+	0.0645600i
$465$	3.79397	+	0.252000i	0.175941	+	0.0116862i
$466$	7.53384	+	16.4968i	0.348998	+	0.764200i
$467$	−2.01156	+	28.1253i	−0.0930840	+	1.30148i	0.709398	+	0.704808i	$0.248967\pi$
$467$	−2.01156	+	28.1253i	−0.0930840	+	1.30148i	−0.802482	+	0.596676i	$0.796488\pi$
$468$	−11.7481	+	15.6936i	−0.543056	+	0.725437i
$469$	−0.205464	+	0.699746i	−0.00948744	+	0.0323113i
$470$	22.0872	+	6.36379i	1.01881	+	0.293540i
$471$	0.796180	−	1.23888i	0.0366860	−	0.0570846i
$472$	11.0734	−	2.40887i	0.509694	−	0.110877i
$473$	6.90386	−	0.493774i	0.317440	−	0.0227038i
$474$	0.891546	+	0.261781i	0.0409500	+	0.0120240i
$475$	32.2769	+	20.2831i	1.48097	+	0.930652i
$476$	−0.298444	−	0.344423i	−0.0136792	−	0.0157866i
$477$	−5.56085	+	14.9092i	−0.254614	+	0.682646i
$478$	−9.16706	−	5.00560i	−0.419292	−	0.228951i
$479$	−0.411008	+	0.899981i	−0.0187794	+	0.0411212i	−0.918789	−	0.394748i	$-0.870832\pi$
$479$	−0.411008	+	0.899981i	−0.0187794	+	0.0411212i	0.900010	+	0.435869i	$0.143559\pi$
$480$	0.168831	+	0.564373i	0.00770607	+	0.0257600i
$481$	−27.3137	−	42.5010i	−1.24540	−	1.93788i
$482$	10.3488	+	10.3488i	0.471375	+	0.471375i
$483$	−0.0744535	−	0.145058i	−0.00338775	−	0.00660037i
$484$		−	10.6476i		−	0.483981i
$485$	23.0855	−	5.14482i	1.04826	−	0.233614i
$486$	−0.981250	+	6.82474i	−0.0445104	+	0.309577i
$487$	−1.44996	−	3.88749i	−0.0657039	−	0.176159i	0.899949	−	0.435996i	$-0.143604\pi$
$487$	−1.44996	−	3.88749i	−0.0657039	−	0.176159i	−0.965652	+	0.259837i	$0.916331\pi$
$488$	−1.58189	+	2.89702i	−0.0716089	+	0.131142i
$489$	−4.47937	+	2.04566i	−0.202564	+	0.0925079i
$490$	−5.53116	−	14.6028i	−0.249872	−	0.659687i
$491$	−2.30000	−	15.9968i	−0.103797	−	0.721927i	−0.973556	−	0.228449i	$-0.926634\pi$
$491$	−2.30000	−	15.9968i	−0.103797	−	0.721927i	0.869758	−	0.493478i	$-0.164275\pi$
$492$	2.03878	−	1.11326i	0.0919153	−	0.0501896i
$493$	−0.843374	−	11.7919i	−0.0379837	−	0.531081i
$494$	42.9045	+	27.5731i	1.93037	+	1.24057i
$495$	3.85331	+	0.534072i	0.173193	+	0.0240048i
$496$	−4.22688	+	4.87808i	−0.189793	+	0.219032i
$497$	−0.184404	−	0.337711i	−0.00827165	−	0.0151484i
$498$	−0.0592538	−	0.0443569i	−0.00265523	−	0.00198768i
$499$	19.5576	−	16.9468i	0.875520	−	0.758642i	−0.0960547	−	0.995376i	$-0.530622\pi$
$499$	19.5576	−	16.9468i	0.875520	−	0.758642i	0.971575	+	0.236734i	$0.0760769\pi$
$500$	−1.75946	−	11.0410i	−0.0786855	−	0.493770i
$501$	−5.39848	+	1.58514i	−0.241186	+	0.0708187i
$502$	−21.3843	+	7.97594i	−0.954429	+	0.355984i
$503$	−1.29080	−	1.72430i	−0.0575538	−	0.0768829i	0.770841	−	0.637028i	$-0.219836\pi$
$503$	−1.29080	−	1.72430i	−0.0575538	−	0.0768829i	−0.828395	+	0.560145i	$0.810745\pi$
$504$	−0.318160	+	0.204469i	−0.0141720	+	0.00910777i
$505$	25.2318	−	11.6781i	1.12280	−	0.519671i
$506$	−1.80872	−	2.19863i	−0.0804074	−	0.0977411i
$507$	−5.91404	+	5.91404i	−0.262652	+	0.262652i
$508$	3.52749	+	0.767358i	0.156507	+	0.0340460i
$509$	6.88410	+	0.989785i	0.305133	+	0.0438714i	0.293180	−	0.956057i	$-0.405286\pi$
$509$	6.88410	+	0.989785i	0.305133	+	0.0438714i	0.0119521	+	0.999929i	$0.496195\pi$
$510$	1.46352	−	1.47846i	0.0648059	−	0.0654671i
$511$	−0.00508652	−	0.0173231i	−0.000225014	−	0.000766329i
$512$	−0.936950	−	0.349464i	−0.0414077	−	0.0154443i
$513$	11.8816	+	0.849792i	0.524588	+	0.0375192i
$514$	2.48620	−	0.357461i	0.109661	−	0.0157669i
$515$	5.59172	−	7.54923i	0.246400	−	0.332659i
$516$	−2.32138	−	2.01149i	−0.102193	−	0.0885508i
$517$	−1.29715	−	5.96290i	−0.0570485	−	0.262248i
$518$	−0.207178	−	0.952383i	−0.00910288	−	0.0418453i
$519$	−1.70387	−	1.47641i	−0.0747916	−	0.0648073i
$520$	−2.20385	−	14.7946i	−0.0966450	−	0.648785i
$521$	−28.2040	+	4.05513i	−1.23564	+	0.177658i	−0.729009	−	0.684504i	$-0.760019\pi$
$521$	−28.2040	+	4.05513i	−1.23564	+	0.177658i	−0.506632	+	0.862163i	$0.669110\pi$
$522$	−9.78562	−	0.699881i	−0.428305	−	0.0306330i
$523$	−37.0697	−	13.8263i	−1.62094	−	0.604581i	−0.635128	−	0.772407i	$-0.719053\pi$
$523$	−37.0697	−	13.8263i	−1.62094	−	0.604581i	−0.985817	+	0.167826i	$0.946325\pi$
$524$	−2.63744	−	8.98230i	−0.115217	−	0.392393i
$525$	−0.153904	+	0.0721829i	−0.00671694	+	0.00315032i
$526$	−22.0859	−	3.17547i	−0.962990	−	0.138457i
$527$	22.2732	+	4.84524i	0.970237	+	0.211062i
$528$	0.110587	−	0.110587i	0.00481267	−	0.00481267i
$529$	22.5686	+	4.43381i	0.981243	+	0.192774i
$530$	−5.09970	−	11.0184i	−0.221517	−	0.478610i
$531$	−27.9385	+	17.9550i	−1.21243	+	0.779181i
$532$	0.589636	+	0.787661i	0.0255640	+	0.0341494i
$533$	−55.2638	+	20.6123i	−2.39374	+	0.892820i
$534$	−0.480795	+	0.141174i	−0.0208060	+	0.00610920i
$535$	−1.26397	−	16.4954i	−0.0546461	−	0.713160i
$536$	4.27084	−	3.70071i	0.184472	−	0.159846i
$537$	1.73591	+	1.29948i	0.0749100	+	0.0560769i
$538$	11.5656	+	21.1808i	0.498628	+	0.913169i
$539$	−2.71480	+	3.13304i	−0.116935	+	0.134950i
$540$	−2.10782	−	2.78613i	−0.0907062	−	0.119896i
$541$	10.7245	+	6.89224i	0.461084	+	0.296320i	0.750485	−	0.660887i	$-0.229820\pi$
$541$	10.7245	+	6.89224i	0.461084	+	0.296320i	−0.289402	+	0.957208i	$0.593456\pi$
$542$	−0.400742	−	5.60311i	−0.0172134	−	0.240674i
$543$	−1.21501	+	0.663446i	−0.0521411	+	0.0284712i
$544$	0.502576	+	3.49550i	0.0215478	+	0.149868i
$545$	21.1573	+	9.53270i	0.906277	+	0.408336i
$546$	−0.206873	+	0.0944759i	−0.00885337	+	0.00404320i
$547$	4.56765	−	8.36502i	0.195299	−	0.357663i	−0.761618	−	0.648027i	$-0.775595\pi$
$547$	4.56765	−	8.36502i	0.195299	−	0.357663i	0.956916	+	0.290364i	$0.0937764\pi$
$548$	2.63813	+	7.07310i	0.112695	+	0.302148i
$549$	1.37665	−	9.57478i	0.0587538	−	0.408642i
$550$	−2.35799	+	1.80281i	−0.100545	+	0.0768722i
$551$			25.5231i			1.08732i
$552$	−0.122355	+	1.25751i	−0.00520778	+	0.0535231i
$553$	−0.321852	−	0.321852i	−0.0136865	−	0.0136865i
$554$	−0.0556501	−	0.0865933i	−0.00236435	−	0.00367900i
$555$	4.26241	−	1.27509i	0.180929	−	0.0541247i
$556$	1.71461	−	3.75448i	0.0727158	−	0.159225i
$557$	3.66082	+	1.99896i	0.155114	+	0.0846985i	0.554931	−	0.831896i	$-0.312745\pi$
$557$	3.66082	+	1.99896i	0.155114	+	0.0846985i	−0.399817	+	0.916595i	$0.630926\pi$
$558$	6.61043	−	17.7233i	0.279842	−	0.750285i
$559$	51.0749	+	58.9436i	2.16024	+	2.49305i
$560$	0.0599074	−	0.282281i	0.00253155	−	0.0119285i
$561$	−0.529921	−	0.155599i	−0.0223733	−	0.00656939i
$562$	11.1629	−	0.798388i	0.470880	−	0.0336780i
$563$	41.4770	−	9.02278i	1.74805	−	0.380265i	0.778979	−	0.627050i	$-0.215738\pi$
$563$	41.4770	−	9.02278i	1.74805	−	0.380265i	0.969070	+	0.246786i	$0.0793743\pi$
$564$	−1.46411	+	2.27821i	−0.0616503	+	0.0959298i
$565$	5.95169	+	10.7694i	0.250389	+	0.453071i
$566$	4.10666	−	13.9860i	0.172616	−	0.587876i
$567$	0.648103	−	0.865764i	0.0272178	−	0.0363587i
$568$	−0.212703	+	2.97398i	−0.00892484	+	0.124786i
$569$	−0.942475	−	2.06373i	−0.0395106	−	0.0865161i	0.888848	−	0.458203i	$-0.151507\pi$
$569$	−0.942475	−	2.06373i	−0.0395106	−	0.0865161i	−0.928358	+	0.371687i	$0.878779\pi$
$570$	−3.37932	+	2.95836i	−0.141544	+	0.123912i
$571$	11.5977	+	5.29651i	0.485350	+	0.221652i	0.643034	−	0.765838i	$-0.277675\pi$
$571$	11.5977	+	5.29651i	0.485350	+	0.221652i	−0.157684	+	0.987490i	$0.550403\pi$
$572$	−3.17901	+	2.37978i	−0.132921	+	0.0995034i
$573$	−0.676334	+	3.10906i	−0.0282542	+	0.129883i
$574$	−1.13790			−0.0474950
$575$	5.45835	−	23.3497i	0.227629	−	0.973748i
$576$	2.93060			0.122108
$577$	−9.19154	+	42.2528i	−0.382649	+	1.75901i	0.234456	+	0.972127i	$0.424669\pi$
$577$	−9.19154	+	42.2528i	−0.382649	+	1.75901i	−0.617105	+	0.786881i	$0.711695\pi$
$578$	−3.62559	+	2.71409i	−0.150805	+	0.112891i
$579$	−2.93430	−	1.34005i	−0.121946	−	0.0556907i
$580$	5.63227	−	4.93066i	0.233867	−	0.204735i
$581$	0.0150621	+	0.0329813i	0.000624879	+	0.00136830i
$582$	−0.198793	+	2.77949i	−0.00824025	+	0.115214i
$583$	−1.93168	+	2.58042i	−0.0800021	+	0.106870i
$584$	−0.0394147	+	0.134234i	−0.00163099	+	0.00555465i
$585$	21.2031	+	38.3662i	0.876638	+	1.58625i
$586$	4.05227	−	6.30545i	0.167398	−	0.260476i
$587$	−26.6912	+	5.80631i	−1.10166	+	0.239652i	−0.726404	−	0.687268i	$-0.758810\pi$
$587$	−26.6912	+	5.80631i	−1.10166	+	0.239652i	−0.375259	+	0.926920i	$0.622446\pi$
$588$	1.83505	−	0.131246i	0.0756763	−	0.00541248i
$589$	−47.2178	−	13.8644i	−1.94558	−	0.571273i
$590$	5.26064	−	24.7879i	0.216577	−	1.02050i
$591$	−1.28962	−	1.48830i	−0.0530479	−	0.0612205i
$592$	−2.63932	+	7.07628i	−0.108475	+	0.290833i
$593$	−12.7437	−	6.95856i	−0.523319	−	0.285754i	0.195796	−	0.980645i	$-0.437271\pi$
$593$	−12.7437	−	6.95856i	−0.523319	−	0.285754i	−0.719115	+	0.694891i	$0.755453\pi$
$594$	−0.385299	+	0.843688i	−0.0158090	+	0.0346169i
$595$	−0.976310	+	0.292062i	−0.0400248	+	0.0119734i
$596$	8.37405	+	13.0303i	0.343014	+	0.533741i
$597$	−1.08086	−	1.08086i	−0.0442368	−	0.0442368i
$598$	7.61930	−	31.1630i	0.311577	−	1.27435i
$599$		−	9.35522i		−	0.382244i	−0.981566	−	0.191122i	$-0.938787\pi$
$599$		−	9.35522i		−	0.382244i	0.981566	−	0.191122i	$-0.0612126\pi$
$600$	1.30566	+	0.174216i	0.0533035	+	0.00711234i
$601$	−0.785354	+	5.46226i	−0.0320353	+	0.222810i	−0.999550	−	0.0300055i	$-0.990448\pi$
$601$	−0.785354	+	5.46226i	−0.0320353	+	0.222810i	0.967514	+	0.252816i	$0.0813566\pi$
$602$	0.525824	+	1.40979i	0.0214310	+	0.0574587i
$603$	−7.93694	+	14.5354i	−0.323217	+	0.591928i
$604$	10.6626	−	4.86944i	0.433855	−	0.198135i
$605$	−21.7071	−	9.78044i	−0.882520	−	0.397632i
$606$	0.466182	+	3.24236i	0.0189373	+	0.131712i
$607$	−24.6423	+	13.4557i	−1.00020	+	0.546150i	−0.893939	−	0.448188i	$-0.852069\pi$
$607$	−24.6423	+	13.4557i	−1.00020	+	0.546150i	−0.106260	+	0.994338i	$0.533888\pi$
$608$	−0.543903	−	7.60475i	−0.0220582	−	0.308413i
$609$	−0.0957465	−	0.0615326i	−0.00387985	−	0.00249343i
$610$	4.45306	+	5.88607i	0.180299	+	0.238320i
$611$	45.0303	−	51.9678i	1.82173	−	2.10239i
$612$	−4.95986	−	9.08330i	−0.200490	−	0.367170i
$613$	−12.1830	−	9.12009i	−0.492067	−	0.368357i	0.324240	−	0.945975i	$-0.394891\pi$
$613$	−12.1830	−	9.12009i	−0.492067	−	0.368357i	−0.816307	+	0.577618i	$0.803982\pi$
$614$	6.22626	−	5.39508i	0.251271	−	0.217728i
$615$	−0.396845	−	5.17903i	−0.0160023	−	0.208839i
$616$	−0.0735071	+	0.0215836i	−0.00296168	+	0.000869629i
$617$	−6.25332	+	2.33237i	−0.251749	+	0.0938976i	−0.472171	−	0.881507i	$-0.656529\pi$
$617$	−6.25332	+	2.33237i	−0.251749	+	0.0938976i	0.220422	+	0.975405i	$0.429257\pi$
$618$	0.663306	+	0.886073i	0.0266821	+	0.0356431i
$619$	−36.9144	+	23.7234i	−1.48371	+	0.953526i	−0.486927	+	0.873443i	$0.661882\pi$
$619$	−36.9144	+	23.7234i	−1.48371	+	0.953526i	−0.996788	+	0.0800828i	$0.974482\pi$
$620$	6.06224	+	13.0981i	0.243466	+	0.526033i
$621$	−1.92634	−	7.24115i	−0.0773013	−	0.290577i
$622$	1.74794	−	1.74794i	0.0700859	−	0.0700859i
$623$	0.239854	+	0.0521771i	0.00960955	+	0.00209043i
$624$	1.74435	+	0.250799i	0.0698298	+	0.0100400i
$625$	−24.1254	−	6.55485i	−0.965015	−	0.262194i
$626$	4.95341	+	16.8698i	0.197978	+	0.674252i
$627$	1.11719	+	0.416691i	0.0446163	+	0.0166410i
$628$	5.57573	+	0.398784i	0.222496	+	0.0159132i
$629$	26.3996	−	3.79569i	1.05262	−	0.151344i
$630$	0.124600	+	0.836446i	0.00496417	+	0.0333248i
$631$	32.2567	+	27.9506i	1.28412	+	1.11269i	0.987487	+	0.157702i	$0.0504085\pi$
$631$	32.2567	+	27.9506i	1.28412	+	1.11269i	0.296631	+	0.954992i	$0.404137\pi$
$632$	0.749723	+	3.44642i	0.0298224	+	0.137091i
$633$	−0.371882	−	1.70951i	−0.0147810	−	0.0679470i
$634$	−10.0307	−	8.69166i	−0.398370	−	0.345190i
$635$	4.80461	−	6.48658i	0.190665	−	0.257412i
$636$	1.41590	−	0.203576i	0.0561441	−	0.00807231i
$637$	−46.5950	−	3.33254i	−1.84616	−	0.132040i
$638$	−1.86201	−	0.694493i	−0.0737176	−	0.0274952i
$639$	−2.46172	−	8.38386i	−0.0973843	−	0.331660i
$640$	−1.57309	+	1.58914i	−0.0621819	+	0.0628164i
$641$	19.9783	+	2.87245i	0.789097	+	0.113455i	0.525069	−	0.851060i	$-0.324040\pi$
$641$	19.9783	+	2.87245i	0.789097	+	0.113455i	0.264029	+	0.964515i	$0.414949\pi$
$642$	1.90460	+	0.414320i	0.0751684	+	0.0163519i
$643$	−20.4256	+	20.4256i	−0.805508	+	0.805508i	−0.983950	−	0.178442i	$-0.942894\pi$
$643$	−20.4256	+	20.4256i	−0.805508	+	0.805508i	0.178442	+	0.983950i	$0.442894\pi$
$644$	0.347822	−	0.511925i	0.0137061	−	0.0201727i
$645$	−6.23312	+	2.88490i	−0.245429	+	0.113593i
$646$	−22.6502	+	14.5564i	−0.891160	+	0.572714i
$647$	24.4656	+	32.6822i	0.961843	+	1.28487i	0.958564	+	0.284877i	$0.0919527\pi$
$647$	24.4656	+	32.6822i	0.961843	+	1.28487i	0.00327851	+	0.999995i	$0.498956\pi$
$648$	−7.85181	+	2.92857i	−0.308448	+	0.115045i
$649$	−6.45486	+	1.89532i	−0.253376	+	0.0743978i
$650$	−32.1859	−	9.09674i	−1.26243	−	0.356804i
$651$	0.165846	−	0.143706i	0.00650002	−	0.00563230i
$652$	−14.9638	−	11.2018i	−0.586027	−	0.438695i
$653$	6.38328	+	11.6901i	0.249797	+	0.457469i	0.972248	−	0.233953i	$-0.0751663\pi$
$653$	6.38328	+	11.6901i	0.249797	+	0.457469i	−0.722451	+	0.691422i	$0.756984\pi$
$654$	−1.79040	+	2.06623i	−0.0700103	+	0.0807962i
$655$	−20.7347	−	2.87386i	−0.810173	−	0.112291i
$656$	7.41768	+	4.76706i	0.289612	+	0.186122i
$657$	−0.0292486	−	0.408949i	−0.00114110	−	0.0159546i
$658$	1.16432	−	0.635765i	0.0453898	−	0.0247847i
$659$	−4.09222	−	28.4620i	−0.159410	−	1.10872i	−0.899723	−	0.436461i	$-0.856232\pi$
$659$	−4.09222	−	28.4620i	−0.159410	−	1.10872i	0.740313	−	0.672263i	$-0.234677\pi$
$660$	−0.123871	−	0.327032i	−0.00482168	−	0.0127297i
$661$	32.0385	−	14.6315i	1.24615	−	0.569098i	0.320419	−	0.947276i	$-0.396176\pi$
$661$	32.0385	−	14.6315i	1.24615	−	0.569098i	0.925733	+	0.378178i	$0.123449\pi$
$662$	−7.95064	+	14.5605i	−0.309010	+	0.565910i
$663$	−2.17486	−	5.83102i	−0.0844645	−	0.226458i
$664$	0.0399843	−	0.278097i	0.00155169	−	0.0107923i
$665$	2.14741	−	0.478570i	0.0832730	−	0.0185581i
$666$		−	22.1332i		−	0.857645i
$667$	15.1812	−	5.22377i	0.587817	−	0.202265i
$668$	−15.1016	−	15.1016i	−0.584297	−	0.584297i
$669$	1.25050	+	1.94582i	0.0483472	+	0.0752297i
$670$	−3.62156	−	12.1062i	−0.139913	−	0.467705i
$671$	0.813997	−	1.78240i	0.0314240	−	0.0688090i
$672$	0.0298395	+	0.0162936i	0.00115108	+	0.000628539i
$673$	−1.50074	+	4.02363i	−0.0578491	+	0.155099i	−0.962659	−	0.270715i	$-0.912740\pi$
$673$	−1.50074	+	4.02363i	−0.0578491	+	0.155099i	0.904810	+	0.425815i	$0.140012\pi$
$674$	2.62559	+	3.03010i	0.101134	+	0.116715i
$675$	−7.61621	+	1.73797i	−0.293148	+	0.0668944i
$676$	−30.4613	−	8.94424i	−1.17159	−	0.344009i
$677$	−21.9773	+	1.57185i	−0.844657	+	0.0604111i	−0.486957	−	0.873426i	$-0.661893\pi$
$677$	−21.9773	+	1.57185i	−0.844657	+	0.0604111i	−0.357700	+	0.933837i	$0.616439\pi$
$678$	−1.41656	+	0.308153i	−0.0544025	+	0.0118345i
$679$	0.737992	−	1.14834i	0.0283215	−	0.0440692i
$680$	7.58787	+	2.18622i	0.290982	+	0.0838379i
$681$	−1.19054	+	4.05461i	−0.0456216	+	0.155373i
$682$	2.29628	−	3.06746i	0.0879289	−	0.117459i
$683$	−1.48573	+	20.7732i	−0.0568498	+	0.794864i	0.886429	+	0.462864i	$0.153178\pi$
$683$	−1.48573	+	20.7732i	−0.0568498	+	0.794864i	−0.943279	+	0.332001i	$0.892276\pi$
$684$	9.28178	+	20.3243i	0.354898	+	0.777117i
$685$	16.8431	+	1.11874i	0.643543	+	0.0427449i
$686$	−1.64149	−	0.749645i	−0.0626726	−	0.0286216i
$687$	3.66529	−	2.74380i	0.139840	−	0.104683i
$688$	2.47838	−	11.3929i	0.0944873	−	0.434351i
$689$	−36.3217			−1.38375
$690$	2.45128	+	1.40454i	0.0933185	+	0.0534699i
$691$	21.8423			0.830921			0.415461	−	0.909611i	$-0.363620\pi$
$691$	21.8423			0.830921			0.415461	+	0.909611i	$0.363620\pi$
$692$	1.81911	−	8.36230i	0.0691520	−	0.317887i
$693$	0.179733	−	0.134546i	0.00682748	−	0.00511099i
$694$	−5.86701	−	2.67937i	−0.222709	−	0.101708i
$695$	−6.07924	−	6.94428i	−0.230599	−	0.263411i
$696$	0.366366	+	0.802231i	0.0138871	+	0.0304085i
$697$	2.22137	−	31.0589i	0.0841405	−	1.17644i
$698$	−5.87152	+	7.84343i	−0.222240	+	0.296878i
$699$	−1.34606	+	4.58426i	−0.0509127	+	0.173393i
$700$	−0.520454	−	0.381424i	−0.0196713	−	0.0144165i
$701$	−8.23528	+	12.8144i	−0.311042	+	0.483991i	−0.961217	−	0.275794i	$-0.911059\pi$
$701$	−8.23528	+	12.8144i	−0.311042	+	0.483991i	0.650175	+	0.759785i	$0.274696\pi$
$702$	−10.2126	+	2.22161i	−0.385448	+	0.0838491i
$703$	−57.4347	+	4.10781i	−2.16619	+	0.154929i
$704$	0.569595	+	0.167248i	0.0214674	+	0.00630341i
$705$	3.29967	+	5.07754i	0.124273	+	0.191231i
$706$	−6.02200	−	6.94976i	−0.226641	−	0.261558i
$707$	0.560760	−	1.50346i	0.0210895	−	0.0565433i
$708$	2.62029	+	1.43079i	0.0984766	+	0.0537723i
$709$	−9.41009	+	20.6052i	−0.353403	+	0.773846i	0.646536	+	0.762883i	$0.276217\pi$
$709$	−9.41009	+	20.6052i	−0.353403	+	0.773846i	−0.999940	+	0.0109625i	$0.996510\pi$
$710$	5.86764	+	3.16542i	0.220209	+	0.118796i
$711$	−5.58822	−	8.69544i	−0.209575	−	0.326104i
$712$	−1.34496	−	1.34496i	−0.0504045	−	0.0504045i
$713$	1.41742	+	30.9228i	0.0530829	+	1.15807i
$714$		−	0.120063i		−	0.00449323i
$715$	1.93151	+	8.66697i	0.0722344	+	0.324126i
$716$	−1.17139	+	8.14717i	−0.0437767	+	0.304474i
$717$	−0.961591	−	2.57813i	−0.0359113	−	0.0962819i
$718$	2.78767	−	5.10524i	0.104035	−	0.190526i
$719$	−27.9232	+	12.7521i	−1.04136	+	0.475573i	−0.861308	−	0.508084i	$-0.830354\pi$
$719$	−27.9232	+	12.7521i	−1.04136	+	0.475573i	−0.180053	+	0.983657i	$0.557627\pi$
$720$	2.69193	−	5.97457i	0.100322	−	0.222659i
$721$	−0.0771623	−	0.536676i	−0.00287368	−	0.0199869i
$722$	34.3419	−	18.7521i	1.27807	−	0.697881i
$723$	0.275060	+	3.84584i	0.0102296	+	0.143028i
$724$	−4.42057	−	2.84093i	−0.164289	−	0.105582i
$725$	−4.87851	−	16.0115i	−0.181183	−	0.594654i
$726$	1.83693	−	2.11993i	0.0681750	−	0.0786781i
$727$	6.85200	+	12.5485i	0.254126	+	0.465398i	0.973332	−	0.229399i	$-0.0736761\pi$
$727$	6.85200	+	12.5485i	0.254126	+	0.465398i	−0.719206	+	0.694797i	$0.755494\pi$
$728$	−0.691082	−	0.517337i	−0.0256132	−	0.0191738i
$729$	17.6272	−	15.2740i	0.652858	−	0.565705i
$730$	0.237457	+	0.203656i	0.00878867	+	0.00753766i
$731$	−39.5065	+	11.6002i	−1.46120	+	0.429048i
$732$	−0.814752	+	0.303887i	−0.0301141	+	0.0112320i
$733$	−2.08545	−	2.78584i	−0.0770280	−	0.102897i	0.760372	−	0.649487i	$-0.225016\pi$
$733$	−2.08545	−	2.78584i	−0.0770280	−	0.102897i	−0.837400	+	0.546590i	$0.815926\pi$
$734$	0.944935	−	0.607273i	0.0348782	−	0.0224149i
$735$	1.41804	−	3.86166i	0.0523051	−	0.142439i
$736$	−4.41200	+	1.87997i	−0.162628	+	0.0692965i
$737$	−2.37217	+	2.37217i	−0.0873799	+	0.0873799i
$738$	−25.2498	−	5.49275i	−0.929456	−	0.202191i
$739$	3.55550	+	0.511203i	0.130791	+	0.0188049i	0.207399	−	0.978256i	$-0.433500\pi$
$739$	3.55550	+	0.511203i	0.130791	+	0.0188049i	−0.0766084	+	0.997061i	$0.524409\pi$
$740$	12.0020	+	11.8807i	0.441201	+	0.436744i
$741$	3.78535	+	12.8917i	0.139058	+	0.473590i
$742$	−0.656541	−	0.244877i	−0.0241024	−	0.00898972i
$743$	−10.2899	−	0.735949i	−0.377500	−	0.0269993i	−0.118700	−	0.992930i	$-0.537873\pi$
$743$	−10.2899	−	0.735949i	−0.377500	−	0.0269993i	−0.258800	+	0.965931i	$0.583327\pi$
$744$	−1.68314	+	0.242000i	−0.0617071	+	0.00887213i
$745$	34.2567	−	5.10299i	1.25507	−	0.186959i
$746$	−19.5236	−	16.9173i	−0.714809	−	0.619386i
$747$	0.175020	+	0.804554i	0.00640365	+	0.0294371i
$748$	−0.445624	−	2.04850i	−0.0162936	−	0.0749006i
$749$	−0.721590	−	0.625261i	−0.0263663	−	0.0228465i
$750$	1.55450	−	2.50181i	0.0567624	−	0.0913533i
$751$	−22.6842	+	3.26149i	−0.827758	+	0.119014i	−0.543155	−	0.839632i	$-0.682771\pi$
$751$	−22.6842	+	3.26149i	−0.827758	+	0.119014i	−0.284602	+	0.958646i	$0.591861\pi$
$752$	−10.2533	−	0.733332i	−0.373900	−	0.0267419i
$753$	−5.63364	−	2.10124i	−0.205301	−	0.0765734i
$754$	−6.30900	−	21.4865i	−0.229760	−	0.782492i
$755$	−0.133048	−	26.2106i	−0.00484211	−	0.953900i
$756$	−0.199577	−	0.0286949i	−0.00725855	−	0.00104362i
$757$	−10.7513	−	2.33881i	−0.390764	−	0.0850055i	0.0128906	−	0.999917i	$-0.495897\pi$
$757$	−10.7513	−	2.33881i	−0.390764	−	0.0850055i	−0.403655	+	0.914911i	$0.632260\pi$
$758$	13.7856	−	13.7856i	0.500716	−	0.500716i
$759$	0.0191946	−	0.749790i	0.000696722	−	0.0272156i
$760$	−16.0033	−	5.87657i	−0.580502	−	0.213166i
$761$	21.8073	−	14.0147i	0.790512	−	0.508031i	−0.0819948	−	0.996633i	$-0.526129\pi$
$761$	21.8073	−	14.0147i	0.790512	−	0.508031i	0.872507	+	0.488601i	$0.162493\pi$
$762$	0.569937	+	0.761346i	0.0206466	+	0.0275807i
$763$	1.25484	−	0.468030i	0.0454282	−	0.0169438i
$764$	−11.5882	+	3.40261i	−0.419248	+	0.123102i
$765$	−23.0739	+	1.76805i	−0.834240	+	0.0639239i
$766$	2.68269	−	2.32456i	0.0969295	−	0.0839899i
$767$	−60.6859	−	45.4289i	−2.19124	−	1.64034i
$768$	−0.126257	−	0.231222i	−0.00455590	−	0.00834350i
$769$	15.1649	−	17.5013i	0.546862	−	0.631112i	−0.413287	−	0.910601i	$-0.635619\pi$
$769$	15.1649	−	17.5013i	0.546862	−	0.631112i	0.960149	+	0.279489i	$0.0901649\pi$
$770$	−0.0235183	+	0.169684i	−0.000847542	+	0.00611498i
$771$	0.556671	+	0.357751i	0.0200480	+	0.0128841i
$772$	−0.873523	−	12.2134i	−0.0314388	−	0.439572i
$773$	20.8390	−	11.3789i	0.749526	−	0.409272i	−0.0586001	−	0.998282i	$-0.518664\pi$
$773$	20.8390	−	11.3789i	0.749526	−	0.409272i	0.808126	+	0.589009i	$0.200482\pi$
$774$	4.86275	+	33.8211i	0.174788	+	1.21568i
$775$	32.2715	−	0.327636i	1.15923	−	0.0117690i
$776$	−9.62157	+	4.39403i	−0.345394	+	0.157736i
$777$	0.123057	−	0.225362i	0.00441464	−	0.00808481i
$778$	7.59996	+	20.3763i	0.272472	+	0.730525i
$779$	−9.56720	+	66.5413i	−0.342780	+	2.38409i
$780$	2.11359	−	3.32581i	0.0756787	−	0.119083i
$781$		−	1.76999i		−	0.0633353i
$782$	13.2939	+	10.4931i	0.475390	+	0.375234i
$783$	−3.69843	−	3.69843i	−0.132171	−	0.132171i
$784$	3.77548	+	5.87476i	0.134839	+	0.209813i
$785$	5.93463	−	11.0009i	0.211816	−	0.392637i
$786$	1.02452	−	2.24339i	0.0365435	−	0.0800190i
$787$	33.1786	+	18.1169i	1.18269	+	0.645796i	0.945486	−	0.325664i	$-0.105588\pi$
$787$	33.1786	+	18.1169i	1.18269	+	0.645796i	0.237202	+	0.971460i	$0.423770\pi$
$788$	2.61229	−	7.00383i	0.0930591	−	0.249501i
$789$	−3.84946	−	4.44251i	−0.137044	−	0.158158i
$790$	7.71484	+	1.63729i	0.274482	+	0.0582522i
$791$	0.681374	+	0.200069i	0.0242269	+	0.00711365i
$792$	−1.73529	+	0.124111i	−0.0616609	+	0.00441008i
$793$	21.5754	−	4.69344i	0.766165	−	0.166669i
$794$	4.98045	−	7.74974i	0.176750	−	0.275028i
$795$	0.885562	−	3.07358i	0.0314076	−	0.109009i
$796$	1.63467	−	5.56717i	0.0579393	−	0.197323i
$797$	17.4569	−	23.3197i	0.618356	−	0.826026i	−0.376597	−	0.926377i	$-0.622906\pi$
$797$	17.4569	−	23.3197i	0.618356	−	0.826026i	0.994952	+	0.100351i	$0.0319966\pi$
$798$	−0.0184917	+	0.258548i	−0.000654599	+	0.00915249i
$799$	15.0802	+	33.0210i	0.533499	+	1.16820i
$800$	1.79479	+	4.66677i	0.0634554	+	0.164995i
$801$	5.07045	+	2.31560i	0.179155	+	0.0818176i
$802$	15.0714	−	11.2823i	0.532189	−	0.398392i
$803$	0.0176538	−	0.0811532i	0.000622989	−	0.00286384i
$804$	1.48877			0.0525050
$805$	−0.724161	−	1.17933i	−0.0255233	−	0.0415661i
$806$	43.1772			1.52085
$807$	−1.35143	+	6.21240i	−0.0475724	+	0.218687i
$808$	−9.95395	+	7.45143i	−0.350179	+	0.262140i
$809$	31.6013	+	14.4318i	1.11104	+	0.507396i	0.884470	−	0.466598i	$-0.154520\pi$
$809$	31.6013	+	14.4318i	1.11104	+	0.507396i	0.226573	+	0.973994i	$0.427248\pi$
$810$	−1.24191	+	18.6974i	−0.0436361	+	0.656961i
$811$	−17.1055	−	37.4559i	−0.600656	−	1.31525i	−0.928785	−	0.370620i	$-0.879145\pi$
$811$	−17.1055	−	37.4559i	−0.600656	−	1.31525i	0.328129	−	0.944633i	$-0.393582\pi$
$812$	0.0308199	−	0.430918i	0.00108157	−	0.0151223i
$813$	0.886867	−	1.18472i	0.0311038	−	0.0415498i
$814$	1.26314	−	4.30185i	0.0442729	−	0.150780i
$815$	−36.5820	+	20.2170i	−1.28141	+	0.708171i
$816$	−0.502984	+	0.782658i	−0.0176080	+	0.0273985i
$817$	86.8617	−	18.8956i	3.03891	−	0.661074i
$818$	−19.1830	+	1.37200i	−0.670718	+	0.0479707i
$819$	2.42741	+	0.712753i	0.0848207	+	0.0249056i
$820$	16.5321	−	10.7435i	0.577327	−	0.375180i
$821$	8.53225	+	9.84674i	0.297778	+	0.343654i	0.884846	−	0.465884i	$-0.154263\pi$
$821$	8.53225	+	9.84674i	0.297778	+	0.343654i	−0.587068	+	0.809537i	$0.699718\pi$
$822$	−0.695007	+	1.86339i	−0.0242412	+	0.0649931i
$823$	25.1448	+	13.7301i	0.876492	+	0.478601i	0.853475	−	0.521134i	$-0.174491\pi$
$823$	25.1448	+	13.7301i	0.876492	+	0.478601i	0.0230172	+	0.999735i	$0.492673\pi$
$824$	−1.74532	+	3.82171i	−0.0608011	+	0.133136i
$825$	−0.780500	−	0.0478637i	−0.0271735	−	0.00166640i
$826$	−0.790664	−	1.23030i	−0.0275107	−	0.0428075i
$827$	26.4815	+	26.4815i	0.920852	+	0.920852i	0.997090	−	0.0762377i	$-0.0242908\pi$
$827$	26.4815	+	26.4815i	0.920852	+	0.920852i	−0.0762377	+	0.997090i	$0.524291\pi$
$828$	10.1892	−	9.68055i	0.354100	−	0.336422i
$829$			24.3473i			0.845617i	0.906219	+	0.422809i	$0.138956\pi$
$829$			24.3473i			0.845617i	−0.906219	+	0.422809i	$0.861044\pi$
$830$	−0.530225	−	0.336964i	−0.0184044	−	0.0116962i
$831$	0.00385923	−	0.0268415i	0.000133875	−	0.000931123i
$832$	2.33768	+	6.26758i	0.0810446	+	0.217289i
$833$	11.8189	−	21.6447i	0.409500	−	0.749944i
$834$	0.989107	−	0.451710i	0.0342500	−	0.0156414i
$835$	−44.6590	+	16.9157i	−1.54549	+	0.585391i
$836$	0.644122	+	4.47996i	0.0222774	+	0.154943i
$837$	8.85112	−	4.83308i	0.305940	−	0.167056i
$838$	0.846130	+	11.8304i	0.0292291	+	0.408676i
$839$	−45.1373	−	29.0080i	−1.55831	−	1.00147i	−0.983016	−	0.183520i	$-0.941251\pi$
$839$	−45.1373	−	29.0080i	−1.55831	−	1.00147i	−0.575295	−	0.817946i	$-0.695113\pi$
$840$	0.0606269	−	0.0458668i	0.00209183	−	0.00158255i
$841$	−11.6521	+	13.4472i	−0.401796	+	0.463697i
$842$	11.4066	+	20.8897i	0.393099	+	0.719907i
$843$	2.36028	+	1.76688i	0.0812922	+	0.0608546i
$844$	5.01877	−	4.34879i	0.172753	−	0.149691i
$845$	−46.2150	+	53.8852i	−1.58984	+	1.85371i
$846$	28.9048	−	8.48723i	0.993769	−	0.291797i
$847$	−1.28745	+	0.480194i	−0.0442373	+	0.0164997i
$848$	3.25395	+	4.34677i	0.111741	+	0.149269i
$849$	3.23052	−	2.07613i	0.110871	−	0.0712525i
$850$	11.4269	−	13.4611i	0.391941	−	0.461713i
$851$	14.1984	+	33.3215i	0.486714	+	1.14225i
$852$	−0.555424	+	0.555424i	−0.0190285	+	0.0190285i
$853$	−0.527741	−	0.114803i	−0.0180695	−	0.00393078i	0.203521	−	0.979070i	$-0.434761\pi$
$853$	−0.527741	−	0.114803i	−0.0180695	−	0.00393078i	−0.221591	+	0.975140i	$0.571125\pi$
$854$	0.421634	+	0.0606218i	0.0144280	+	0.00207443i
$855$	49.9607	−	0.253607i	1.70862	−	0.00867316i
$856$	2.08443	+	7.09891i	0.0712443	+	0.242636i
$857$	−0.459605	−	0.171424i	−0.0156998	−	0.00585572i	0.341602	−	0.939845i	$-0.389031\pi$
$857$	−0.459605	−	0.171424i	−0.0156998	−	0.00585572i	−0.357302	+	0.933989i	$0.616303\pi$
$858$	−1.04350	−	0.0746327i	−0.0356246	−	0.00254792i
$859$	33.8927	−	4.87303i	1.15640	−	0.166266i	0.462692	−	0.886519i	$-0.346884\pi$
$859$	33.8927	−	4.87303i	1.15640	−	0.166266i	0.693711	+	0.720253i	$0.255975\pi$
$860$	−20.9501	−	15.5177i	−0.714392	−	0.529150i
$861$	−0.226556	−	0.196312i	−0.00772100	−	0.00669029i
$862$	6.85290	+	31.5023i	0.233411	+	1.07297i
$863$	4.47088	+	20.5523i	0.152191	+	0.699609i	0.988484	+	0.151327i	$0.0483545\pi$
$863$	4.47088	+	20.5523i	0.152191	+	0.699609i	−0.836293	+	0.548283i	$0.815282\pi$
$864$	1.18078	+	1.02315i	0.0401710	+	0.0348084i
$865$	−15.3772	−	11.3899i	−0.522839	−	0.387267i
$866$	−6.52782	+	0.938559i	−0.221824	+	0.0318935i
$867$	−1.19009	−	0.0851171i	−0.0404177	−	0.00289073i
$868$	0.780459	+	0.291096i	0.0264905	+	0.00988045i
$869$	−0.589889	−	2.00898i	−0.0200106	−	0.0681499i
$870$	1.97203	−	0.0100103i	0.0668580	−	0.000339379i
$871$	−37.4176	−	5.37984i	−1.26785	−	0.182289i
$872$	−10.1407	−	2.20598i	−0.343408	−	0.0747038i
$873$	21.9190	−	21.9190i	0.741847	−	0.741847i
$874$	−27.0116	−	24.6439i	−0.913681	−	0.833591i
$875$	−1.25567	+	0.710682i	−0.0424495	+	0.0240254i
$876$	−0.0310057	+	0.0199261i	−0.00104759	+	0.000673242i
$877$	8.21259	+	10.9707i	0.277319	+	0.370455i	0.917477	−	0.397788i	$-0.130222\pi$
$877$	8.21259	+	10.9707i	0.277319	+	0.370455i	−0.640158	+	0.768243i	$0.721131\pi$
$878$	37.7629	−	14.0849i	1.27444	−	0.475341i
$879$	1.89463	−	0.556314i	0.0639043	−	0.0187640i
$880$	0.864174	−	1.00760i	0.0291313	−	0.0339662i
$881$	−1.51075	+	1.30907i	−0.0508985	+	0.0441038i	−0.679939	−	0.733269i	$-0.737994\pi$
$881$	−1.51075	+	1.30907i	−0.0508985	+	0.0441038i	0.629040	+	0.777373i	$0.283448\pi$
$882$	−16.3834	−	12.2644i	−0.551657	−	0.412965i
$883$	−7.35560	−	13.4708i	−0.247536	−	0.453328i	0.724138	−	0.689655i	$-0.242238\pi$
$883$	−7.35560	−	13.4708i	−0.247536	−	0.453328i	−0.971673	+	0.236328i	$0.924056\pi$
$884$	15.4698	−	17.8531i	0.520305	−	0.600464i
$885$	5.32382	−	4.02769i	0.178958	−	0.135389i
$886$	−0.295956	−	0.190199i	−0.00994283	−	0.00638987i
$887$	0.681668	+	9.53096i	0.0228882	+	0.320018i	0.995978	+	0.0895939i	$0.0285569\pi$
$887$	0.681668	+	9.53096i	0.0228882	+	0.320018i	−0.973090	+	0.230424i	$0.925989\pi$
$888$	−1.74630	+	0.953550i	−0.0586019	+	0.0319990i
$889$	−0.0663007	−	0.461132i	−0.00222365	−	0.0154659i
$890$	−3.97738	+	1.50653i	−0.133322	+	0.0504990i
$891$	4.52526	−	2.06662i	0.151602	−	0.0692343i
$892$	−4.20769	+	7.70581i	−0.140884	+	0.258010i
$893$	−27.3885	−	73.4315i	−0.916522	−	2.45729i
$894$	−0.580724	+	4.03903i	−0.0194223	+	0.135085i
$895$	15.5335	+	9.87175i	0.519229	+	0.329976i
$896$			0.129051i			0.00431130i
$897$	6.89328	−	4.89006i	0.230160	−	0.163274i
$898$	6.06613	+	6.06613i	0.202429	+	0.202429i
$899$	11.6821	+	18.1777i	0.389619	+	0.606260i
$900$	−9.70759	−	10.9760i	−0.323586	−	0.365867i
$901$	7.96557	−	17.4422i	0.265372	−	0.581083i
$902$	−4.59411	−	2.50858i	−0.152967	−	0.0835265i
$903$	−0.138527	+	0.371405i	−0.00460988	+	0.0123596i
$904$	−3.60355	−	4.15871i	−0.119852	−	0.138317i
$905$	−9.85231	+	6.40260i	−0.327502	+	0.212830i
$906$	2.96300	+	0.870016i	0.0984392	+	0.0289044i
$907$	−18.2770	+	1.30720i	−0.606879	+	0.0434049i	−0.371398	−	0.928474i	$-0.621121\pi$
$907$	−18.2770	+	1.30720i	−0.606879	+	0.0434049i	−0.235482	+	0.971879i	$0.575667\pi$
$908$	−15.6738	+	3.40962i	−0.520152	+	0.113152i
$909$	19.7005	−	30.6545i	0.653423	−	1.01675i
$910$	−1.68949	+	0.933695i	−0.0560060	+	0.0309517i
$911$	1.13322	−	3.85940i	0.0375454	−	0.127868i	−0.938588	−	0.345040i	$-0.887865\pi$
$911$	1.13322	−	3.85940i	0.0375454	−	0.127868i	0.976133	+	0.217173i	$0.0696834\pi$
$912$	1.20369	−	1.60794i	0.0398581	−	0.0532442i
$913$	−0.0118985	+	0.166363i	−0.000393783	+	0.00550581i
$914$	14.6745	+	32.1326i	0.485388	+	1.06285i
$915$	−0.128868	+	1.94016i	−0.00426024	+	0.0641398i
$916$	15.8087	+	7.21961i	0.522336	+	0.238543i
$917$	−0.967146	+	0.723996i	−0.0319380	+	0.0239085i
$918$	1.17283	−	5.39142i	0.0387092	−	0.177943i
$919$	49.6259			1.63701			0.818504	−	0.574501i	$-0.194804\pi$
$919$	49.6259			1.63701			0.818504	+	0.574501i	$0.194804\pi$
$920$	−0.220020	+	10.7215i	−0.00725383	+	0.353479i
$921$	2.17041			0.0715176
$922$	−6.74484	+	31.0055i	−0.222129	+	1.02111i
$923$	15.9666	−	11.9525i	0.525548	−	0.393420i
$924$	−0.0183589	−	0.00838422i	−0.000603963	−	0.000275821i
$925$	35.2456	−	13.5551i	1.15887	−	0.445689i
$926$	7.50710	+	16.4383i	0.246699	+	0.540195i
$927$	0.878368	−	12.2812i	0.0288494	−	0.403367i
$928$	−2.00617	+	2.67993i	−0.0658559	+	0.0879731i
$929$	11.9925	−	40.8428i	0.393462	−	1.34001i	−0.490089	−	0.871673i	$-0.663036\pi$
$929$	11.9925	−	40.8428i	0.393462	−	1.34001i	0.883551	−	0.468336i	$-0.155146\pi$
$930$	−1.05271	+	3.65370i	−0.0345196	+	0.119809i
$931$	−28.7849	+	44.7903i	−0.943389	+	1.46794i
$932$	−17.7212	+	3.85502i	−0.580478	+	0.126275i
$933$	0.649570	−	0.0464582i	0.0212660	−	0.00152097i
$934$	−27.0550	−	7.94406i	−0.885266	−	0.259937i
$935$	−4.58559	−	0.973182i	−0.149965	−	0.0318265i
$936$	−12.8377	−	14.8155i	−0.419614	−	0.484261i
$937$	0.582257	−	1.56109i	0.0190215	−	0.0509987i	−0.927092	−	0.374834i	$-0.877700\pi$
$937$	0.582257	−	1.56109i	0.0190215	−	0.0509987i	0.946113	+	0.323835i	$0.104972\pi$
$938$	−0.640080	−	0.349510i	−0.0208993	−	0.0114119i
$939$	−1.92417	+	4.21334i	−0.0627929	+	0.137497i
$940$	−10.9133	+	20.2297i	−0.355954	+	0.659821i
$941$	−17.6697	−	27.4946i	−0.576017	−	0.896300i	0.423939	−	0.905691i	$-0.360647\pi$
$941$	−17.6697	−	27.4946i	−0.576017	−	0.896300i	−0.999956	+	0.00939108i	$0.997011\pi$
$942$	1.04133	+	1.04133i	0.0339283	+	0.0339283i
$943$	41.5370	−	7.92831i	1.35263	−	0.258181i
$944$			11.3324i			0.368837i
$945$	−0.241823	+	0.380518i	−0.00786652	+	0.0123782i
$946$	−0.985032	+	6.85105i	−0.0320261	+	0.222747i
$947$	−15.9396	−	42.7356i	−0.517966	−	1.38872i	−0.888060	−	0.459727i	$-0.847947\pi$
$947$	−15.9396	−	42.7356i	−0.517966	−	1.38872i	0.370094	−	0.928994i	$-0.379326\pi$
$948$	−0.445311	+	0.815525i	−0.0144630	+	0.0264870i
$949$	0.851276	−	0.388765i	0.0276336	−	0.0126198i
$950$	−26.6805	+	27.2278i	−0.865630	+	0.883387i
$951$	−0.497619	−	3.46102i	−0.0161364	−	0.112231i
$952$	0.399991	−	0.218412i	0.0129638	−	0.00707876i
$953$	1.42910	+	19.9814i	0.0462931	+	0.647262i	0.966637	+	0.256152i	$0.0824546\pi$
$953$	1.42910	+	19.9814i	0.0462931	+	0.647262i	−0.920344	+	0.391111i	$0.872091\pi$
$954$	−13.3865	−	8.60295i	−0.433403	−	0.278531i
$955$	−3.70762	+	26.7503i	−0.119976	+	0.865619i
$956$	6.83980	−	7.89355i	0.221215	−	0.255296i
$957$	−0.250911	−	0.459509i	−0.00811080	−	0.0148538i
$958$	−0.792048	−	0.592920i	−0.0255899	−	0.0191564i
$959$	0.736265	−	0.637977i	0.0237752	−	0.0206014i
$960$	−0.587363	+	0.0450069i	−0.0189571	+	0.00145259i
$961$	−10.2303	+	3.00390i	−0.330011	+	0.0968999i
$962$	47.3357	−	17.6553i	1.52616	−	0.569229i
$963$	−12.9937	−	17.3576i	−0.418717	−	0.559341i
$964$	−12.3121	+	7.91251i	−0.396546	+	0.254845i
$965$	−25.7018	−	9.43794i	−0.827370	−	0.303818i
$966$	0.157569	−	0.0419176i	0.00506971	−	0.00134868i
$967$	12.7378	−	12.7378i	0.409619	−	0.409619i	−0.471987	−	0.881606i	$-0.656463\pi$
$967$	12.7378	−	12.7378i	0.409619	−	0.409619i	0.881606	+	0.471987i	$0.156463\pi$
$968$	10.4043	+	2.26331i	0.334406	+	0.0727455i
$969$	−7.02094	−	1.00946i	−0.225545	−	0.0324285i
$970$	0.120058	+	23.6516i	0.00385484	+	0.759406i
$971$	−2.46160	−	8.38345i	−0.0789966	−	0.269038i	0.910518	−	0.413469i	$-0.135683\pi$
$971$	−2.46160	−	8.38345i	−0.0789966	−	0.269038i	−0.989515	+	0.144431i	$0.953865\pi$
$972$	−6.46020	−	2.40953i	−0.207211	−	0.0772857i
$973$	−0.531299	−	0.0379992i	−0.0170327	−	0.00121820i
$974$	4.10686	−	0.590477i	0.131592	−	0.0189201i
$975$	−4.83883	−	7.36390i	−0.154966	−	0.235834i
$976$	−2.49456	−	2.16155i	−0.0798489	−	0.0691895i
$977$	−5.46047	−	25.1014i	−0.174696	−	0.803064i	−0.978184	−	0.207743i	$-0.933388\pi$
$977$	−5.46047	−	25.1014i	−0.174696	−	0.803064i	0.803488	−	0.595322i	$-0.202975\pi$
$978$	−1.04675	−	4.81184i	−0.0334714	−	0.153866i
$979$	0.853350	+	0.739432i	0.0272732	+	0.0236324i
$980$	15.4448	−	2.30071i	0.493367	−	0.0734934i
$981$	30.1038	−	4.32827i	0.961140	−	0.138191i
$982$	16.1202	+	1.15294i	0.514415	+	0.0367917i
$983$	47.4938	+	17.7143i	1.51482	+	0.564997i	0.963126	−	0.269052i	$-0.0867102\pi$
$983$	47.4938	+	17.7143i	1.51482	+	0.564997i	0.551691	+	0.834049i	$0.313983\pi$
$984$	0.654443	+	2.22883i	0.0208629	+	0.0710524i
$985$	−11.8791	−	11.7591i	−0.378499	−	0.374676i
$986$	11.7017	+	1.68245i	0.372658	+	0.0535802i
$987$	0.341498	+	0.0742884i	0.0108700	+	0.00236463i
$988$	−36.0630	+	36.0630i	−1.14732	+	1.14732i
$989$	−29.0170	−	47.7981i	−0.922686	−	1.51989i
$990$	−1.34095	+	3.65172i	−0.0426181	+	0.116059i
$991$	−30.7855	+	19.7846i	−0.977933	+	0.628479i	−0.928905	−	0.370318i	$-0.879249\pi$
$991$	−30.7855	+	19.7846i	−0.977933	+	0.628479i	−0.0490277	+	0.998797i	$0.515612\pi$
$992$	−3.86811	−	5.16720i	−0.122813	−	0.164059i
$993$	−4.09497	+	1.52734i	−0.129950	+	0.0484688i
$994$	0.369191	−	0.108404i	0.0117100	−	0.00343837i
$995$	−9.84819	−	8.44636i	−0.312209	−	0.267768i
$996$	0.0559385	−	0.0484710i	0.00177248	−	0.00153586i
$997$	−2.66691	−	1.99642i	−0.0844618	−	0.0632273i	0.556212	−	0.831040i	$-0.312254\pi$
$997$	−2.66691	−	1.99642i	−0.0844618	−	0.0632273i	−0.640674	+	0.767813i	$0.721345\pi$
$998$	12.4022	+	22.7130i	0.392586	+	0.718967i
$999$	7.72733	−	8.91781i	0.244482	−	0.282147i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	230.2.l.a.103.3	yes	240
5.2	odd	4	inner	230.2.l.a.57.4	✓	240
23.21	odd	22	inner	230.2.l.a.113.4	yes	240
115.67	even	44	inner	230.2.l.a.67.3	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.l.a.57.4	✓	240	5.2	odd	4	inner
230.2.l.a.67.3	yes	240	115.67	even	44	inner
230.2.l.a.103.3	yes	240	1.1	even	1	trivial
230.2.l.a.113.4	yes	240	23.21	odd	22	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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 230 = 2 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	230.l (of order \(44\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.212565 + 0.977147i) q^{2} +(-0.210900 + 0.157878i) q^{3} +(-0.909632 - 0.415415i) q^{4} +(-1.68245 + 1.47287i) q^{5} +(-0.109440 - 0.239640i) q^{6} +(-0.00920642 + 0.128723i) q^{7} +(0.599278 - 0.800541i) q^{8} +(-0.825644 + 2.81189i) q^{9} +(-1.08158 - 1.95708i) q^{10} +(-0.320947 + 0.499403i) q^{11} +(0.257426 - 0.0559997i) q^{12} +(-6.67230 + 0.477212i) q^{13} +(-0.123824 - 0.0363580i) q^{14} +(0.122296 - 0.576251i) q^{15} +(0.654861 + 0.755750i) q^{16} +(1.23411 - 3.30878i) q^{17} +(-2.57212 - 1.40449i) q^{18} +(-3.16720 + 6.93520i) q^{19} +(2.14227 - 0.640856i) q^{20} +(-0.0183808 - 0.0286011i) q^{21} +(-0.419768 - 0.419768i) q^{22} +(4.77329 + 0.464439i) q^{23} +0.263447i q^{24} +(0.661294 - 4.95608i) q^{25} +(0.951992 - 6.62125i) q^{26} +(-0.546002 - 1.46389i) q^{27} +(0.0618477 - 0.113266i) q^{28} +(3.04513 - 1.39067i) q^{29} +(0.537086 + 0.241992i) q^{30} +(0.918589 + 6.38893i) q^{31} +(-0.877679 + 0.479249i) q^{32} +(-0.0111570 - 0.155995i) q^{33} +(2.97084 + 1.90924i) q^{34} +(-0.174103 - 0.230129i) q^{35} +(1.91913 - 2.21480i) q^{36} +(3.61951 + 6.62864i) q^{37} +(-6.10347 - 4.56900i) q^{38} +(1.33185 - 1.15405i) q^{39} +(0.170839 + 2.22953i) q^{40} +(8.46025 - 2.48415i) q^{41} +(0.0318546 - 0.0118811i) q^{42} +(-6.98721 - 9.33381i) q^{43} +(0.499403 - 0.320947i) q^{44} +(-2.75244 - 5.94693i) q^{45} +(-1.46846 + 4.56548i) q^{46} +(-7.26872 + 7.26872i) q^{47} +(-0.257426 - 0.0559997i) q^{48} +(6.91227 + 0.993834i) q^{49} +(4.70225 + 1.69967i) q^{50} +(0.262109 + 0.892662i) q^{51} +(6.26758 + 2.33768i) q^{52} +(5.41595 + 0.387357i) q^{53} +(1.54649 - 0.222352i) q^{54} +(-0.195579 - 1.31294i) q^{55} +(0.0975305 + 0.0845107i) q^{56} +(-0.426952 - 1.96266i) q^{57} +(0.711595 + 3.27115i) q^{58} +(8.56443 + 7.42112i) q^{59} +(-0.350627 + 0.473373i) q^{60} +(-3.26718 + 0.469749i) q^{61} +(-6.43818 - 0.460468i) q^{62} +(-0.354352 - 0.132166i) q^{63} +(-0.281733 - 0.959493i) q^{64} +(10.5230 - 10.6303i) q^{65} +(0.154801 + 0.0222571i) q^{66} +(5.52199 + 1.20124i) q^{67} +(-2.49711 + 2.49711i) q^{68} +(-1.08001 + 0.655647i) q^{69} +(0.261878 - 0.121206i) q^{70} +(-2.50826 + 1.61196i) q^{71} +(1.75624 + 2.34606i) q^{72} +(-0.131080 + 0.0488904i) q^{73} +(-7.24654 + 2.12778i) q^{74} +(0.642988 + 1.14964i) q^{75} +(5.76197 - 4.99278i) q^{76} +(-0.0613297 - 0.0459109i) q^{77} +(0.844574 + 1.54672i) q^{78} +(-2.30971 + 2.66555i) q^{79} +(-2.21489 - 0.306987i) q^{80} +(-7.04985 - 4.53067i) q^{81} +(0.629027 + 8.79495i) q^{82} +(0.246590 - 0.134648i) q^{83} +(0.00483845 + 0.0336521i) q^{84} +(2.79708 + 7.38456i) q^{85} +(10.6057 - 4.84348i) q^{86} +(-0.422663 + 0.774050i) q^{87} +(0.207457 + 0.556213i) q^{88} +(0.270692 - 1.88270i) q^{89} +(6.39610 - 1.42543i) q^{90} -0.863268i q^{91} +(-4.14900 - 2.40537i) q^{92} +(-1.20240 - 1.20240i) q^{93} +(-5.55753 - 8.64768i) q^{94} +(-4.88600 - 16.3330i) q^{95} +(0.109440 - 0.239640i) q^{96} +(-9.28359 - 5.06923i) q^{97} +(-2.44043 + 6.54304i) q^{98} +(-1.13928 - 1.31480i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46}+ \cdots + 24 q^{98}+O(q^{100}) \) 240 * q - 8 * q^3 - 8 * q^6 - 8 * q^12 + 16 * q^13 + 24 * q^16 - 72 * q^18 - 80 * q^23 - 8 * q^26 + 16 * q^27 - 44 * q^28 + 24 * q^31 - 44 * q^33 - 8 * q^35 - 32 * q^36 - 88 * q^37 - 24 * q^41 - 8 * q^46 - 80 * q^47 + 8 * q^48 + 8 * q^50 + 16 * q^52 - 44 * q^56 - 88 * q^57 - 176 * q^61 - 32 * q^62 - 176 * q^66 + 24 * q^70 - 336 * q^71 + 16 * q^72 - 88 * q^73 - 36 * q^75 - 24 * q^77 + 40 * q^78 - 136 * q^81 + 40 * q^82 - 100 * q^85 - 44 * q^86 + 40 * q^87 + 8 * q^92 + 56 * q^93 + 52 * q^95 + 8 * q^96 + 132 * q^97 + 24 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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