LMFDB - Embedded newform 230.2.l.a.67.3

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			67.3
Character	$\chi$	$=$	230.67
Dual form			230.2.l.a.103.3

$q$-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 $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{13}{22}\right)$

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	0.536661	−	0.843798i	$-0.319686\pi$
$3$	−0.210900	−	0.157878i	−0.121763	−	0.0911508i	−0.658424	+	0.752647i	$0.728777\pi$
$4$	−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	0.995416	−	0.0956442i	$-0.0304911\pi$
$7$	−0.00920642	−	0.128723i	−0.00347970	−	0.0486526i	−0.998895	+	0.0469917i	$0.985037\pi$
$8$	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	0.789493	−	0.613759i	$-0.210343\pi$
$11$	−0.320947	−	0.499403i	−0.0967692	−	0.150576i	−0.886262	+	0.463183i	$0.846707\pi$
$12$	0.257426	+	0.0559997i	0.0743126	+	0.0161657i
$13$	−6.67230	−	0.477212i	−1.85056	−	0.132355i	−0.898638	−	0.438690i	$-0.855443\pi$
$13$	−6.67230	−	0.477212i	−1.85056	−	0.132355i	−0.951924	+	0.306335i	$0.900897\pi$
$14$	−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	0.996342	+	0.0854519i	$0.0272334\pi$
$17$	1.23411	+	3.30878i	0.299316	+	0.802498i	−0.697026	+	0.717046i	$0.745494\pi$
$18$	−2.57212	+	1.40449i	−0.606255	+	0.331040i
$19$	−3.16720	−	6.93520i	−0.726605	−	1.59104i	−0.804410	−	0.594075i	$-0.797518\pi$
$19$	−3.16720	−	6.93520i	−0.726605	−	1.59104i	0.0778047	−	0.996969i	$-0.475209\pi$
$20$	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	0.677572	−	0.735456i	$-0.263032\pi$
$29$	3.04513	+	1.39067i	0.565467	+	0.258240i	−0.112105	+	0.993696i	$0.535759\pi$
$30$	0.537086	−	0.241992i	0.0980581	−	0.0441814i
$31$	0.918589	−	6.38893i	0.164984	−	1.14749i	−0.724085	−	0.689711i	$-0.757738\pi$
$31$	0.918589	−	6.38893i	0.164984	−	1.14749i	0.889068	−	0.457775i	$-0.151353\pi$
$32$	−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	−0.390545	−	0.920584i	$-0.627713\pi$
$37$	3.61951	−	6.62864i	0.595044	−	1.08974i	0.985589	−	0.169158i	$-0.0541049\pi$
$38$	−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	0.864951	−	0.501857i	$-0.167350\pi$
$41$	8.46025	+	2.48415i	1.32127	+	0.387960i	0.456319	+	0.889816i	$0.349168\pi$
$42$	0.0318546	+	0.0118811i	0.00491527	+	0.00183330i
$43$	−6.98721	+	9.33381i	−1.06554	+	1.42339i	−0.166226	+	0.986088i	$0.553158\pi$
$43$	−6.98721	+	9.33381i	−1.06554	+	1.42339i	−0.899313	+	0.437306i	$0.855933\pi$
$44$	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	−0.998065	−	0.0621869i	$-0.980193\pi$
$47$	−7.26872	−	7.26872i	−1.06025	−	1.06025i	−0.0621869	−	0.998065i	$-0.519807\pi$
$48$	−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	0.305776	−	0.952103i	$-0.401084\pi$
$53$	5.41595	−	0.387357i	0.743938	−	0.0532075i	0.438162	+	0.898896i	$0.355630\pi$
$54$	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	0.115363	−	0.993323i	$-0.463197\pi$
$59$	8.56443	−	7.42112i	1.11499	−	0.966148i	0.999631	+	0.0271755i	$0.00865130\pi$
$60$	−0.350627	−	0.473373i	−0.0452658	−	0.0611122i
$61$	−3.26718	−	0.469749i	−0.418319	−	0.0601452i	−0.0700584	−	0.997543i	$-0.522319\pi$
$61$	−3.26718	−	0.469749i	−0.418319	−	0.0601452i	−0.348261	+	0.937398i	$0.613228\pi$
$62$	−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	0.137810	−	0.990459i	$-0.455994\pi$
$67$	5.52199	−	1.20124i	0.674619	−	0.146754i	0.536808	+	0.843704i	$0.319630\pi$
$68$	−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	0.383274	−	0.923635i	$-0.374797\pi$
$71$	−2.50826	−	1.61196i	−0.297676	−	0.191305i	−0.680950	+	0.732330i	$0.738433\pi$
$72$	1.75624	−	2.34606i	0.206975	−	0.276486i
$73$	−0.131080	−	0.0488904i	−0.0153418	−	0.00572219i	0.341782	−	0.939779i	$-0.388970\pi$
$73$	−0.131080	−	0.0488904i	−0.0153418	−	0.00572219i	−0.357123	+	0.934057i	$0.616242\pi$
$74$	−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	0.610793	−	0.791790i	$-0.290851\pi$
$79$	−2.30971	−	2.66555i	−0.259863	−	0.299898i	−0.870656	+	0.491893i	$0.836305\pi$
$80$	−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	0.492725	−	0.870185i	$-0.336001\pi$
$83$	0.246590	+	0.134648i	0.0270668	+	0.0147796i	−0.465659	+	0.884964i	$0.654183\pi$
$84$	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	0.999126	−	0.0418069i	$-0.0133114\pi$
$89$	0.270692	+	1.88270i	0.0286933	+	0.199566i	−0.970432	+	0.241373i	$0.922402\pi$
$90$	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	−0.875593	−	0.483050i	$-0.839529\pi$
$97$	−9.28359	+	5.06923i	−0.942606	+	0.514702i	−0.0670134	+	0.997752i	$0.521347\pi$
$98$	−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	−0.814913	−	0.579583i	$-0.803215\pi$
$101$	−11.9304	+	3.50307i	−1.18711	+	0.348568i	−0.372202	+	0.928152i	$0.621397\pi$
$102$	−0.927977	−	0.0663702i	−0.0918834	−	0.00657163i
$103$	−4.10537	−	0.893069i	−0.404514	−	0.0879967i	0.00570479	−	0.999984i	$-0.498184\pi$
$103$	−4.10537	−	0.893069i	−0.404514	−	0.0879967i	−0.410219	+	0.911987i	$0.634548\pi$
$104$	−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	0.533281	−	0.845938i	$-0.320959\pi$
$107$	−4.43382	−	5.92289i	−0.428634	−	0.572587i	−0.961914	+	0.273351i	$0.911868\pi$
$108$	−0.111460	−	1.55842i	−0.0107253	−	0.149959i
$109$	−4.31113	+	9.44005i	−0.412931	+	0.904193i	0.582863	+	0.812571i	$0.301932\pi$
$109$	−4.31113	+	9.44005i	−0.412931	+	0.904193i	−0.995794	+	0.0916222i	$0.970795\pi$
$110$	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	0.998867	+	0.0475915i	$0.0151546\pi$
$113$	1.16970	+	5.37701i	0.110036	+	0.505827i	−0.888831	+	0.458235i	$0.848482\pi$
$114$	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	0.0533142	−	0.998578i	$-0.483022\pi$
$127$	−3.52749	−	0.767358i	−0.313014	−	0.0680920i	−0.366328	+	0.930486i	$0.619385\pi$
$128$	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	−0.421850	−	0.906666i	$-0.638619\pi$
$131$	6.13048	−	7.07495i	0.535623	−	0.618141i	0.957473	+	0.288524i	$0.0931646\pi$
$132$	−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	−0.897358	−	0.441302i	$-0.854517\pi$
$137$	−5.33800	+	5.33800i	−0.456056	+	0.456056i	0.441302	+	0.897358i	$0.354517\pi$
$138$	−0.411090	+	1.19470i	−0.0349943	+	0.101699i
$139$		−	4.12747i		−	0.350088i	−0.984561	−	0.175044i	$-0.943993\pi$
$139$		−	4.12747i		−	0.350088i	0.984561	−	0.175044i	$-0.0560067\pi$
$140$	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	−0.951633	−	0.307238i	$-0.900595\pi$
$149$	−13.0303	+	8.37405i	−1.06748	+	0.686029i	−0.115849	+	0.993267i	$0.536959\pi$
$150$	−1.26004	−	0.383920i	−0.102882	−	0.0313469i
$151$	−7.67620	−	8.85880i	−0.624680	−	0.720919i	0.351909	−	0.936034i	$-0.385533\pi$
$151$	−7.67620	−	8.85880i	−0.624680	−	0.720919i	−0.976589	+	0.215115i	$0.930987\pi$
$152$	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	0.131659	−	0.991295i	$-0.457970\pi$
$157$	−5.23752	−	1.95349i	−0.417999	−	0.155906i	−0.549659	+	0.835389i	$0.685242\pi$
$158$	−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	0.570497	−	0.821300i	$-0.306751\pi$
$163$	18.2649	−	3.97329i	1.43062	−	0.311212i	0.860122	+	0.510088i	$0.170387\pi$
$164$	−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	0.577403	−	0.816460i	$-0.304066\pi$
$167$	20.0103	−	7.46345i	1.54844	−	0.577539i	0.971039	+	0.238921i	$0.0767936\pi$
$168$	−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	−0.854841	−	0.518889i	$-0.826346\pi$
$173$	1.81911	−	8.36230i	0.138304	−	0.635774i	0.993146	−	0.116884i	$-0.0372907\pi$
$174$	−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	0.826309	+	0.563217i	$0.190437\pi$
$179$	−2.31893	+	7.89754i	−0.173325	+	0.590289i	−0.999633	+	0.0270722i	$0.991382\pi$
$180$	0.0332635	−	6.55293i	0.00247931	−	0.488426i
$181$	5.20125	−	0.747827i	0.386606	−	0.0555856i	0.0537284	−	0.998556i	$-0.482889\pi$
$181$	5.20125	−	0.747827i	0.386606	−	0.0555856i	0.332878	+	0.942970i	$0.391980\pi$
$182$	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	0.919261	−	0.393648i	$-0.128787\pi$
$191$	9.12753	+	7.90905i	0.660445	+	0.572279i	−0.258816	+	0.965927i	$0.583332\pi$
$192$	0.210900	−	0.157878i	0.0152204	−	0.0113939i
$193$	5.86823	−	10.7469i	0.422405	−	0.773577i	−0.576652	−	0.816990i	$-0.695641\pi$
$193$	5.86823	−	10.7469i	0.422405	−	0.773577i	0.999057	+	0.0434130i	$0.0138231\pi$
$194$	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	−0.942440	−	0.334376i	$-0.891475\pi$
$197$	0.533270	−	7.45610i	0.0379939	−	0.531225i	0.980434	−	0.196849i	$-0.0630709\pi$
$198$	1.52692	+	0.833761i	0.108513	+	0.0592528i
$199$	0.825740	−	5.74315i	0.0585351	−	0.407121i	−0.939396	−	0.342833i	$-0.888613\pi$
$199$	0.825740	−	5.74315i	0.0585351	−	0.407121i	0.997931	−	0.0642876i	$-0.0204775\pi$
$200$	−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	0.790591	−	0.612345i	$-0.209774\pi$
$211$	−2.75868	−	6.04067i	−0.189915	−	0.415857i	−0.980506	+	0.196488i	$0.937046\pi$
$212$	−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	0.974351	+	0.225032i	$0.0722486\pi$
$223$	0.626341	+	8.75739i	0.0419429	+	0.586438i	−0.932409	+	0.361406i	$0.882297\pi$
$224$	−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	0.933458	−	0.358688i	$-0.116776\pi$
$227$	12.8410	+	9.61262i	0.852284	+	0.638012i	−0.0811732	+	0.996700i	$0.525867\pi$
$228$	−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	0.957639	−	0.287972i	$-0.0929810\pi$
$233$	14.5184	+	10.8683i	0.951130	+	0.712007i	−0.00650891	+	0.999979i	$0.502072\pi$
$234$	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	−0.998261	−	0.0589499i	$-0.981225\pi$
$239$	−2.94260	−	10.0216i	−0.190341	−	0.648242i	0.807920	−	0.589292i	$-0.200593\pi$
$240$	0.515588	+	0.284939i	0.0332811	+	0.0183928i
$241$	7.91251	+	12.3121i	0.509690	+	0.793093i	0.996774	−	0.0802625i	$-0.0255759\pi$
$241$	7.91251	+	12.3121i	0.509690	+	0.793093i	−0.487084	+	0.873355i	$0.661940\pi$
$242$	−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	−0.194125	−	0.980977i	$-0.562187\pi$
$251$	12.3392	−	19.2002i	0.778846	−	1.21191i	0.972970	−	0.230930i	$-0.0741770\pi$
$252$	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	−0.961447	−	0.274990i	$-0.911326\pi$
$257$	−0.877771	+	2.35340i	−0.0547539	+	0.146801i	0.906693	+	0.421791i	$0.138598\pi$
$258$	−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	−0.674843	−	0.737962i	$-0.735789\pi$
$263$	1.59179	−	22.2561i	0.0981540	−	1.37237i	0.772997	−	0.634410i	$-0.218757\pi$
$264$	−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	0.999547	−	0.0300949i	$-0.00958094\pi$
$269$	18.2383	+	15.8036i	1.11201	+	0.963561i	0.112462	+	0.993656i	$0.464126\pi$
$270$	−2.27441	−	2.65189i	−0.138416	−	0.161389i
$271$	−5.38988	−	1.58261i	−0.327412	−	0.0961368i	0.113896	−	0.993493i	$-0.463667\pi$
$271$	−5.38988	−	1.58261i	−0.327412	−	0.0961368i	−0.441307	+	0.897356i	$0.645485\pi$
$272$	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	0.704917	−	0.709290i	$-0.250984\pi$
$277$	−0.0727851	−	0.0727851i	−0.00437323	−	0.00437323i	−0.709290	+	0.704917i	$0.750984\pi$
$278$	−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	0.810410	+	0.585863i	$0.199244\pi$
$281$	−3.15299	+	10.7381i	−0.188092	+	0.640582i	−0.998502	+	0.0547187i	$0.982574\pi$
$282$	2.53736	−	0.946387i	0.151098	−	0.0563565i
$283$	−14.5393	+	1.03987i	−0.864273	+	0.0618140i	−0.496433	−	0.868075i	$-0.665357\pi$
$283$	−14.5393	+	1.03987i	−0.864273	+	0.0618140i	−0.367840	+	0.929889i	$0.619903\pi$
$284$	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	−0.546122	−	0.837706i	$-0.683896\pi$
$293$	−7.02273	+	2.61934i	−0.410272	+	0.153024i	0.135850	+	0.990729i	$0.456624\pi$
$294$	−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	−0.770687	−	0.637214i	$-0.780087\pi$
$307$	−6.59528	+	4.93716i	−0.376412	+	0.281779i	0.394275	+	0.918993i	$0.370996\pi$
$308$	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	−0.598271	−	0.801294i	$-0.704146\pi$
$311$	−2.07954	+	1.33644i	−0.117920	+	0.0757826i	0.480351	+	0.877076i	$0.340509\pi$
$312$	−0.125720	+	1.75780i	−0.00711750	+	0.0995156i
$313$	15.4313	+	8.42614i	0.872230	+	0.476274i	0.852012	−	0.523522i	$-0.175382\pi$
$313$	15.4313	+	8.42614i	0.872230	+	0.476274i	0.0202181	+	0.999796i	$0.493564\pi$
$314$	−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	0.635803	−	0.771851i	$-0.280669\pi$
$317$	−6.36085	−	11.6490i	−0.357261	−	0.654274i	−0.993064	+	0.117577i	$0.962487\pi$
$318$	−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	0.186714	−	0.982414i	$-0.440216\pi$
$331$	15.9178	−	4.67388i	0.874921	−	0.256900i	0.688207	+	0.725514i	$0.258398\pi$
$332$	−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	0.861196	−	0.508272i	$-0.169716\pi$
$337$	2.40274	+	3.20968i	0.130886	+	0.174843i	−0.730311	+	0.683115i	$0.760625\pi$
$338$	−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	0.925592	−	0.378523i	$-0.123568\pi$
$347$	−1.37102	−	6.30247i	−0.0736002	−	0.338335i	−0.999192	+	0.0401883i	$0.987204\pi$
$348$	0.706020	+	0.528520i	0.0378467	+	0.0283317i
$349$	8.91227	−	4.07010i	0.477063	−	0.217867i	−0.162347	−	0.986734i	$-0.551906\pi$
$349$	8.91227	−	4.07010i	0.477063	−	0.217867i	0.639409	+	0.768867i	$0.279179\pi$
$350$	−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	0.629542	−	0.776966i	$-0.283242\pi$
$353$	−5.51087	−	7.36166i	−0.293314	−	0.391822i	−0.922856	+	0.385145i	$0.874152\pi$
$354$	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	−0.425674	−	0.904876i	$-0.639963\pi$
$359$	−5.58113	+	1.63877i	−0.294561	+	0.0864909i	0.131113	+	0.991367i	$0.458145\pi$
$360$	−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	−0.727533	−	0.686073i	$-0.759333\pi$
$367$	−0.794255	+	0.794255i	−0.0414598	+	0.0414598i	0.686073	+	0.727533i	$0.259333\pi$
$368$	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	−0.973025	−	0.230699i	$-0.925899\pi$
$373$	−12.3806	−	22.6734i	−0.641045	−	1.17399i	0.331980	−	0.943286i	$-0.392283\pi$
$374$	−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	−0.889214	−	0.457491i	$-0.848748\pi$
$379$	−16.4009	+	10.5402i	−0.842459	+	0.541415i	0.0467555	+	0.998906i	$0.485112\pi$
$380$	−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	−0.669410	−	0.742893i	$-0.733453\pi$
$383$	−2.84169	+	2.12726i	−0.145203	+	0.108698i	0.524206	+	0.851591i	$0.324362\pi$
$384$	−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	0.914853	−	0.403786i	$-0.132306\pi$
$389$	18.2951	+	11.7576i	0.927600	+	0.596132i	0.0127468	+	0.999919i	$0.495942\pi$
$390$	−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	−0.556595	−	0.830784i	$-0.687892\pi$
$397$	−8.63130	+	3.21931i	−0.433193	+	0.161573i	0.123402	+	0.992357i	$0.460620\pi$
$398$	−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	−0.933256	−	0.359211i	$-0.883046\pi$
$401$	−14.2281	+	12.3287i	−0.710518	+	0.615668i	0.222738	+	0.974878i	$0.428500\pi$
$402$	−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	−0.710132	−	0.704068i	$-0.751365\pi$
$409$	5.41828	−	18.4530i	0.267917	−	0.912441i	0.978049	−	0.208373i	$-0.0668169\pi$
$410$	−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	0.547630	−	0.836721i	$-0.315530\pi$
$419$	11.3802	+	3.34154i	0.555960	+	0.163245i	0.00833037	+	0.999965i	$0.497348\pi$
$420$	−0.0577058	+	0.0494917i	−0.00281575	+	0.00241495i
$421$	17.9877	+	15.5864i	0.876665	+	0.759634i	0.971794	−	0.235831i	$-0.0757811\pi$
$421$	17.9877	+	15.5864i	0.876665	+	0.759634i	−0.0951295	+	0.995465i	$0.530327\pi$
$422$	−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	0.968069	−	0.250683i	$-0.0806550\pi$
$431$	29.3256	+	13.3926i	1.41257	+	0.645098i	0.444497	+	0.895780i	$0.353382\pi$
$432$	0.748777	+	1.37128i	0.0360256	+	0.0659759i
$433$	2.30470	−	6.17914i	0.110757	−	0.296950i	−0.869732	−	0.493524i	$-0.835709\pi$
$433$	2.30470	−	6.17914i	0.110757	−	0.296950i	0.980489	+	0.196573i	$0.0629814\pi$
$434$	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	−0.289712	+	0.957114i	$0.593560\pi$
$439$	−21.7901	+	33.9060i	−1.03998	+	1.61824i	−0.750271	+	0.661131i	$0.770077\pi$
$440$	−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	0.933996	−	0.357282i	$-0.116297\pi$
$443$	−0.122943	−	0.329622i	−0.00584118	−	0.0156608i	−0.939838	+	0.341622i	$0.889024\pi$
$444$	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	0.933279	−	0.359153i	$-0.116935\pi$
$449$	4.63805	+	7.21695i	0.218883	+	0.340589i	−0.714395	+	0.699742i	$0.753298\pi$
$450$	−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	0.999025	+	0.0441386i	$0.0140543\pi$
$457$	28.2790	+	21.1694i	1.32283	+	0.990261i	0.323809	+	0.946123i	$0.395037\pi$
$458$	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	0.880046	−	0.474889i	$-0.157512\pi$
$463$	14.4668	+	10.8297i	0.672331	+	0.503301i	−0.207715	+	0.978189i	$0.566603\pi$
$464$	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	−0.802482	−	0.596676i	$-0.796488\pi$
$467$	−2.01156	−	28.1253i	−0.0930840	−	1.30148i	0.709398	−	0.704808i	$-0.248967\pi$
$468$	−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	0.900010	−	0.435869i	$-0.143559\pi$
$479$	−0.411008	−	0.899981i	−0.0187794	−	0.0411212i	−0.918789	+	0.394748i	$0.870832\pi$
$480$	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	−0.965652	−	0.259837i	$-0.916331\pi$
$487$	−1.44996	+	3.88749i	−0.0657039	+	0.176159i	0.899949	+	0.435996i	$0.143604\pi$
$488$	−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	0.869758	+	0.493478i	$0.164275\pi$
$491$	−2.30000	+	15.9968i	−0.103797	+	0.721927i	−0.973556	+	0.228449i	$0.926634\pi$
$492$	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	0.971575	−	0.236734i	$-0.0760769\pi$
$499$	19.5576	+	16.9468i	0.875520	+	0.758642i	−0.0960547	+	0.995376i	$0.530622\pi$
$500$	−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	−0.828395	−	0.560145i	$-0.810745\pi$
$503$	−1.29080	+	1.72430i	−0.0575538	+	0.0768829i	0.770841	+	0.637028i	$0.219836\pi$
$504$	−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	0.0119521	−	0.999929i	$-0.496195\pi$
$509$	6.88410	−	0.989785i	0.305133	−	0.0438714i	0.293180	+	0.956057i	$0.405286\pi$
$510$	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	−0.506632	−	0.862163i	$-0.669110\pi$
$521$	−28.2040	−	4.05513i	−1.23564	−	0.177658i	−0.729009	+	0.684504i	$0.760019\pi$
$522$	−9.78562	+	0.699881i	−0.428305	+	0.0306330i
$523$	−37.0697	+	13.8263i	−1.62094	+	0.604581i	−0.985817	−	0.167826i	$-0.946325\pi$
$523$	−37.0697	+	13.8263i	−1.62094	+	0.604581i	−0.635128	+	0.772407i	$0.719053\pi$
$524$	−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	−0.289402	−	0.957208i	$-0.593456\pi$
$541$	10.7245	−	6.89224i	0.461084	−	0.296320i	0.750485	+	0.660887i	$0.229820\pi$
$542$	−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	0.956916	−	0.290364i	$-0.0937764\pi$
$547$	4.56765	+	8.36502i	0.195299	+	0.357663i	−0.761618	+	0.648027i	$0.775595\pi$
$548$	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	−0.399817	−	0.916595i	$-0.630926\pi$
$557$	3.66082	−	1.99896i	0.155114	−	0.0846985i	0.554931	+	0.831896i	$0.312745\pi$
$558$	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	0.969070	−	0.246786i	$-0.0793743\pi$
$563$	41.4770	+	9.02278i	1.74805	+	0.380265i	0.778979	+	0.627050i	$0.215738\pi$
$564$	−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	−0.928358	−	0.371687i	$-0.878779\pi$
$569$	−0.942475	+	2.06373i	−0.0395106	+	0.0865161i	0.888848	+	0.458203i	$0.151507\pi$
$570$	−3.37932	−	2.95836i	−0.141544	−	0.123912i
$571$	11.5977	−	5.29651i	0.485350	−	0.221652i	−0.157684	−	0.987490i	$-0.550403\pi$
$571$	11.5977	−	5.29651i	0.485350	−	0.221652i	0.643034	+	0.765838i	$0.277675\pi$
$572$	−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	−0.617105	−	0.786881i	$-0.711695\pi$
$577$	−9.19154	−	42.2528i	−0.382649	−	1.75901i	0.234456	−	0.972127i	$-0.424669\pi$
$578$	−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	−0.375259	−	0.926920i	$-0.622446\pi$
$587$	−26.6912	−	5.80631i	−1.10166	−	0.239652i	−0.726404	+	0.687268i	$0.758810\pi$
$588$	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	−0.719115	−	0.694891i	$-0.755453\pi$
$593$	−12.7437	+	6.95856i	−0.523319	+	0.285754i	0.195796	+	0.980645i	$0.437271\pi$
$594$	−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	$0.0612126\pi$
$599$			9.35522i			0.382244i	−0.981566	+	0.191122i	$0.938787\pi$
$600$	1.30566	−	0.174216i	0.0533035	−	0.00711234i
$601$	−0.785354	−	5.46226i	−0.0320353	−	0.222810i	0.967514	−	0.252816i	$-0.0813566\pi$
$601$	−0.785354	−	5.46226i	−0.0320353	−	0.222810i	−0.999550	+	0.0300055i	$0.990448\pi$
$602$	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	−0.106260	−	0.994338i	$-0.533888\pi$
$607$	−24.6423	−	13.4557i	−1.00020	−	0.546150i	−0.893939	+	0.448188i	$0.852069\pi$
$608$	−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	−0.816307	−	0.577618i	$-0.803982\pi$
$613$	−12.1830	+	9.12009i	−0.492067	+	0.368357i	0.324240	+	0.945975i	$0.394891\pi$
$614$	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	0.220422	−	0.975405i	$-0.429257\pi$
$617$	−6.25332	−	2.33237i	−0.251749	−	0.0938976i	−0.472171	+	0.881507i	$0.656529\pi$
$618$	0.663306	−	0.886073i	0.0266821	−	0.0356431i
$619$	−36.9144	−	23.7234i	−1.48371	−	0.953526i	−0.996788	−	0.0800828i	$-0.974482\pi$
$619$	−36.9144	−	23.7234i	−1.48371	−	0.953526i	−0.486927	−	0.873443i	$-0.661882\pi$
$620$	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	0.296631	−	0.954992i	$-0.404137\pi$
$631$	32.2567	−	27.9506i	1.28412	−	1.11269i	0.987487	−	0.157702i	$-0.0504085\pi$
$632$	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	0.264029	−	0.964515i	$-0.414949\pi$
$641$	19.9783	−	2.87245i	0.789097	−	0.113455i	0.525069	+	0.851060i	$0.324040\pi$
$642$	1.90460	−	0.414320i	0.0751684	−	0.0163519i
$643$	−20.4256	−	20.4256i	−0.805508	−	0.805508i	0.178442	−	0.983950i	$-0.442894\pi$
$643$	−20.4256	−	20.4256i	−0.805508	−	0.805508i	−0.983950	+	0.178442i	$0.942894\pi$
$644$	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	0.00327851	−	0.999995i	$-0.498956\pi$
$647$	24.4656	−	32.6822i	0.961843	−	1.28487i	0.958564	−	0.284877i	$-0.0919527\pi$
$648$	−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	−0.722451	−	0.691422i	$-0.756984\pi$
$653$	6.38328	−	11.6901i	0.249797	−	0.457469i	0.972248	+	0.233953i	$0.0751663\pi$
$654$	−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	0.740313	+	0.672263i	$0.234677\pi$
$659$	−4.09222	+	28.4620i	−0.159410	+	1.10872i	−0.899723	+	0.436461i	$0.856232\pi$
$660$	−0.123871	+	0.327032i	−0.00482168	+	0.0127297i
$661$	32.0385	+	14.6315i	1.24615	+	0.569098i	0.925733	−	0.378178i	$-0.123449\pi$
$661$	32.0385	+	14.6315i	1.24615	+	0.569098i	0.320419	+	0.947276i	$0.396176\pi$
$662$	−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	0.904810	−	0.425815i	$-0.140012\pi$
$673$	−1.50074	−	4.02363i	−0.0578491	−	0.155099i	−0.962659	+	0.270715i	$0.912740\pi$
$674$	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	−0.357700	−	0.933837i	$-0.616439\pi$
$677$	−21.9773	−	1.57185i	−0.844657	−	0.0604111i	−0.486957	+	0.873426i	$0.661893\pi$
$678$	−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	−0.943279	−	0.332001i	$-0.892276\pi$
$683$	−1.48573	−	20.7732i	−0.0568498	−	0.794864i	0.886429	−	0.462864i	$-0.153178\pi$
$684$	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	0.650175	−	0.759785i	$-0.274696\pi$
$701$	−8.23528	−	12.8144i	−0.311042	−	0.483991i	−0.961217	+	0.275794i	$0.911059\pi$
$702$	−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	−0.999940	−	0.0109625i	$-0.996510\pi$
$709$	−9.41009	−	20.6052i	−0.353403	−	0.773846i	0.646536	−	0.762883i	$-0.276217\pi$
$710$	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	−0.180053	−	0.983657i	$-0.557627\pi$
$719$	−27.9232	−	12.7521i	−1.04136	−	0.475573i	−0.861308	+	0.508084i	$0.830354\pi$
$720$	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	−0.719206	−	0.694797i	$-0.755494\pi$
$727$	6.85200	−	12.5485i	0.254126	−	0.465398i	0.973332	+	0.229399i	$0.0736761\pi$
$728$	−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	−0.837400	−	0.546590i	$-0.815926\pi$
$733$	−2.08545	+	2.78584i	−0.0770280	+	0.102897i	0.760372	+	0.649487i	$0.225016\pi$
$734$	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	−0.0766084	−	0.997061i	$-0.524409\pi$
$739$	3.55550	−	0.511203i	0.130791	−	0.0188049i	0.207399	+	0.978256i	$0.433500\pi$
$740$	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	−0.258800	−	0.965931i	$-0.583327\pi$
$743$	−10.2899	+	0.735949i	−0.377500	+	0.0269993i	−0.118700	+	0.992930i	$0.537873\pi$
$744$	−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	−0.284602	−	0.958646i	$-0.591861\pi$
$751$	−22.6842	−	3.26149i	−0.827758	−	0.119014i	−0.543155	+	0.839632i	$0.682771\pi$
$752$	−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	−0.403655	−	0.914911i	$-0.632260\pi$
$757$	−10.7513	+	2.33881i	−0.390764	+	0.0850055i	0.0128906	+	0.999917i	$0.495897\pi$
$758$	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	0.872507	−	0.488601i	$-0.162493\pi$
$761$	21.8073	+	14.0147i	0.790512	+	0.508031i	−0.0819948	+	0.996633i	$0.526129\pi$
$762$	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	0.960149	−	0.279489i	$-0.0901649\pi$
$769$	15.1649	+	17.5013i	0.546862	+	0.631112i	−0.413287	+	0.910601i	$0.635619\pi$
$770$	−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	0.808126	−	0.589009i	$-0.200482\pi$
$773$	20.8390	+	11.3789i	0.749526	+	0.409272i	−0.0586001	+	0.998282i	$0.518664\pi$
$774$	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	0.237202	−	0.971460i	$-0.423770\pi$
$787$	33.1786	−	18.1169i	1.18269	−	0.645796i	0.945486	+	0.325664i	$0.105588\pi$
$788$	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	0.994952	−	0.100351i	$-0.0319966\pi$
$797$	17.4569	+	23.3197i	0.618356	+	0.826026i	−0.376597	+	0.926377i	$0.622906\pi$
$798$	−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	0.226573	−	0.973994i	$-0.427248\pi$
$809$	31.6013	−	14.4318i	1.11104	−	0.507396i	0.884470	+	0.466598i	$0.154520\pi$
$810$	−1.24191	−	18.6974i	−0.0436361	−	0.656961i
$811$	−17.1055	+	37.4559i	−0.600656	+	1.31525i	0.328129	+	0.944633i	$0.393582\pi$
$811$	−17.1055	+	37.4559i	−0.600656	+	1.31525i	−0.928785	+	0.370620i	$0.879145\pi$
$812$	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	−0.587068	−	0.809537i	$-0.699718\pi$
$821$	8.53225	−	9.84674i	0.297778	−	0.343654i	0.884846	+	0.465884i	$0.154263\pi$
$822$	−0.695007	−	1.86339i	−0.0242412	−	0.0649931i
$823$	25.1448	−	13.7301i	0.876492	−	0.478601i	0.0230172	−	0.999735i	$-0.492673\pi$
$823$	25.1448	−	13.7301i	0.876492	−	0.478601i	0.853475	+	0.521134i	$0.174491\pi$
$824$	−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	−0.0762377	−	0.997090i	$-0.524291\pi$
$827$	26.4815	−	26.4815i	0.920852	−	0.920852i	0.997090	+	0.0762377i	$0.0242908\pi$
$828$	10.1892	+	9.68055i	0.354100	+	0.336422i
$829$		−	24.3473i		−	0.845617i	−0.906219	−	0.422809i	$-0.861044\pi$
$829$		−	24.3473i		−	0.845617i	0.906219	−	0.422809i	$-0.138956\pi$
$830$	−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	−0.575295	+	0.817946i	$0.695113\pi$
$839$	−45.1373	+	29.0080i	−1.55831	+	1.00147i	−0.983016	+	0.183520i	$0.941251\pi$
$840$	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	−0.221591	−	0.975140i	$-0.571125\pi$
$853$	−0.527741	+	0.114803i	−0.0180695	+	0.00393078i	0.203521	+	0.979070i	$0.434761\pi$
$854$	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	−0.357302	−	0.933989i	$-0.616303\pi$
$857$	−0.459605	+	0.171424i	−0.0156998	+	0.00585572i	0.341602	+	0.939845i	$0.389031\pi$
$858$	−1.04350	+	0.0746327i	−0.0356246	+	0.00254792i
$859$	33.8927	+	4.87303i	1.15640	+	0.166266i	0.693711	−	0.720253i	$-0.255975\pi$
$859$	33.8927	+	4.87303i	1.15640	+	0.166266i	0.462692	+	0.886519i	$0.346884\pi$
$860$	−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	−0.836293	−	0.548283i	$-0.815282\pi$
$863$	4.47088	−	20.5523i	0.152191	−	0.699609i	0.988484	−	0.151327i	$-0.0483545\pi$
$864$	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	−0.640158	−	0.768243i	$-0.721131\pi$
$877$	8.21259	−	10.9707i	0.277319	−	0.370455i	0.917477	+	0.397788i	$0.130222\pi$
$878$	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	0.629040	−	0.777373i	$-0.283448\pi$
$881$	−1.51075	−	1.30907i	−0.0508985	−	0.0441038i	−0.679939	+	0.733269i	$0.737994\pi$
$882$	−16.3834	+	12.2644i	−0.551657	+	0.412965i
$883$	−7.35560	+	13.4708i	−0.247536	+	0.453328i	−0.971673	−	0.236328i	$-0.924056\pi$
$883$	−7.35560	+	13.4708i	−0.247536	+	0.453328i	0.724138	+	0.689655i	$0.242238\pi$
$884$	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	−0.973090	−	0.230424i	$-0.925989\pi$
$887$	0.681668	−	9.53096i	0.0228882	−	0.320018i	0.995978	−	0.0895939i	$-0.0285569\pi$
$888$	−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	−0.235482	−	0.971879i	$-0.575667\pi$
$907$	−18.2770	−	1.30720i	−0.606879	−	0.0434049i	−0.371398	+	0.928474i	$0.621121\pi$
$908$	−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	0.976133	−	0.217173i	$-0.0696834\pi$
$911$	1.13322	+	3.85940i	0.0375454	+	0.127868i	−0.938588	+	0.345040i	$0.887865\pi$
$912$	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	0.883551	+	0.468336i	$0.155146\pi$
$929$	11.9925	+	40.8428i	0.393462	+	1.34001i	−0.490089	+	0.871673i	$0.663036\pi$
$930$	−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	0.946113	−	0.323835i	$-0.104972\pi$
$937$	0.582257	+	1.56109i	0.0190215	+	0.0509987i	−0.927092	+	0.374834i	$0.877700\pi$
$938$	−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	−0.999956	−	0.00939108i	$-0.997011\pi$
$941$	−17.6697	+	27.4946i	−0.576017	+	0.896300i	0.423939	+	0.905691i	$0.360647\pi$
$942$	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	0.370094	+	0.928994i	$0.379326\pi$
$947$	−15.9396	+	42.7356i	−0.517966	+	1.38872i	−0.888060	+	0.459727i	$0.847947\pi$
$948$	−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	−0.920344	−	0.391111i	$-0.872091\pi$
$953$	1.42910	−	19.9814i	0.0462931	−	0.647262i	0.966637	−	0.256152i	$-0.0824546\pi$
$954$	−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	0.881606	−	0.471987i	$-0.156463\pi$
$967$	12.7378	+	12.7378i	0.409619	+	0.409619i	−0.471987	+	0.881606i	$0.656463\pi$
$968$	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	−0.989515	−	0.144431i	$-0.953865\pi$
$971$	−2.46160	+	8.38345i	−0.0789966	+	0.269038i	0.910518	+	0.413469i	$0.135683\pi$
$972$	−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	0.803488	+	0.595322i	$0.202975\pi$
$977$	−5.46047	+	25.1014i	−0.174696	+	0.803064i	−0.978184	+	0.207743i	$0.933388\pi$
$978$	−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	0.551691	−	0.834049i	$-0.313983\pi$
$983$	47.4938	−	17.7143i	1.51482	−	0.564997i	0.963126	+	0.269052i	$0.0867102\pi$
$984$	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	−0.0490277	−	0.998797i	$-0.515612\pi$
$991$	−30.7855	−	19.7846i	−0.977933	−	0.628479i	−0.928905	+	0.370318i	$0.879249\pi$
$992$	−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	−0.640674	−	0.767813i	$-0.721345\pi$
$997$	−2.66691	+	1.99642i	−0.0844618	+	0.0632273i	0.556212	+	0.831040i	$0.312254\pi$
$998$	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.67.3	yes	240
5.3	odd	4	inner	230.2.l.a.113.4	yes	240
23.11	odd	22	inner	230.2.l.a.57.4	✓	240
115.103	even	44	inner	230.2.l.a.103.3	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.l.a.57.4	✓	240	23.11	odd	22	inner
230.2.l.a.67.3	yes	240	1.1	even	1	trivial
230.2.l.a.103.3	yes	240	115.103	even	44	inner
230.2.l.a.113.4	yes	240	5.3	odd	4	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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