LMFDB - Embedded newform 230.2.l.a.57.4

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			57.4
Character	$\chi$	$=$	230.57
Dual form			230.2.l.a.113.4

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.977147 - 0.212565i) q^{2} +(0.157878 + 0.210900i) q^{3} +(0.909632 + 0.415415i) q^{4} +(2.21166 + 0.329456i) q^{5} +(-0.109440 - 0.239640i) q^{6} +(-0.128723 - 0.00920642i) q^{7} +(-0.800541 - 0.599278i) q^{8} +(0.825644 - 2.81189i) q^{9} +(-2.09109 - 0.792050i) q^{10} +(-0.320947 + 0.499403i) q^{11} +(0.0559997 + 0.257426i) q^{12} +(0.477212 + 6.67230i) q^{13} +(0.123824 + 0.0363580i) q^{14} +(0.279690 + 0.518454i) q^{15} +(0.654861 + 0.755750i) q^{16} +(3.30878 + 1.23411i) q^{17} +(-1.40449 + 2.57212i) q^{18} +(3.16720 - 6.93520i) q^{19} +(1.87494 + 1.21844i) q^{20} +(-0.0183808 - 0.0286011i) q^{21} +(0.419768 - 0.419768i) q^{22} +(0.464439 - 4.77329i) q^{23} -0.263447i q^{24} +(4.78292 + 1.45729i) q^{25} +(0.951992 - 6.62125i) q^{26} +(1.46389 - 0.546002i) q^{27} +(-0.113266 - 0.0618477i) q^{28} +(-3.04513 + 1.39067i) q^{29} +(-0.163093 - 0.566058i) q^{30} +(0.918589 + 6.38893i) q^{31} +(-0.479249 - 0.877679i) q^{32} +(-0.155995 + 0.0111570i) q^{33} +(-2.97084 - 1.90924i) q^{34} +(-0.281658 - 0.0627700i) q^{35} +(1.91913 - 2.21480i) q^{36} +(-6.62864 + 3.61951i) q^{37} +(-4.56900 + 6.10347i) q^{38} +(-1.33185 + 1.15405i) q^{39} +(-1.57309 - 1.58914i) q^{40} +(8.46025 - 2.48415i) q^{41} +(0.0118811 + 0.0318546i) q^{42} +(-9.33381 + 6.98721i) 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} +(-0.0559997 + 0.257426i) q^{48} +(-6.91227 - 0.993834i) q^{49} +(-4.36384 - 2.44067i) q^{50} +(0.262109 + 0.892662i) q^{51} +(-2.33768 + 6.26758i) q^{52} +(0.387357 - 5.41595i) q^{53} +(-1.54649 + 0.222352i) q^{54} +(-0.874359 + 0.998775i) q^{55} +(0.0975305 + 0.0845107i) q^{56} +(1.96266 - 0.426952i) q^{57} +(3.27115 - 0.711595i) q^{58} +(-8.56443 - 7.42112i) q^{59} +(0.0390417 + 0.587790i) q^{60} +(-3.26718 + 0.469749i) q^{61} +(0.460468 - 6.43818i) q^{62} +(-0.132166 + 0.354352i) q^{63} +(0.281733 + 0.959493i) q^{64} +(-1.14280 + 14.9141i) q^{65} +(0.154801 + 0.0222571i) q^{66} +(-1.20124 + 5.52199i) 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} +(-2.34606 + 1.75624i) q^{72} +(0.0488904 + 0.131080i) q^{73} +(7.24654 - 2.12778i) q^{74} +(0.447773 + 1.23879i) q^{75} +(5.76197 - 4.99278i) q^{76} +(0.0459109 - 0.0613297i) q^{77} +(1.54672 - 0.844574i) q^{78} +(2.30971 - 2.66555i) q^{79} +(1.19935 + 1.88721i) q^{80} +(-7.04985 - 4.53067i) q^{81} +(-8.79495 + 0.629027i) q^{82} +(-0.134648 - 0.246590i) q^{83} +(-0.00483845 - 0.0336521i) q^{84} +(6.91133 + 3.81954i) q^{85} +(10.6057 - 4.84348i) q^{86} +(-0.774050 - 0.422663i) q^{87} +(0.556213 - 0.207457i) q^{88} +(-0.270692 + 1.88270i) q^{89} +(-3.95365 + 5.22595i) q^{90} -0.863268i q^{91} +(2.40537 - 4.14900i) q^{92} +(-1.20240 + 1.20240i) q^{93} +(5.55753 + 8.64768i) q^{94} +(9.28962 - 14.2949i) q^{95} +(0.109440 - 0.239640i) q^{96} +(5.06923 - 9.28359i) q^{97} +(6.54304 + 2.44043i) 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 $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{9}{22}\right)$

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 $

$2$	−0.977147	−	0.212565i	−0.690947	−	0.150306i
$2$	−0.977147	−	0.212565i	−0.690947	−	0.150306i
$3$	0.157878	+	0.210900i	0.0911508	+	0.121763i	0.843798	−	0.536661i	$-0.180314\pi$
$3$	0.157878	+	0.210900i	0.0911508	+	0.121763i	−0.752647	+	0.658424i	$0.771223\pi$
$4$	0.909632	+	0.415415i	0.454816	+	0.207708i
$5$	2.21166	+	0.329456i	0.989086	+	0.147337i
$5$	2.21166	+	0.329456i	0.989086	+	0.147337i
$6$	−0.109440	−	0.239640i	−0.0446786	−	0.0978325i
$7$	−0.128723	−	0.00920642i	−0.0486526	−	0.00347970i	0.0469917	−	0.998895i	$-0.485037\pi$
$7$	−0.128723	−	0.00920642i	−0.0486526	−	0.00347970i	−0.0956442	+	0.995416i	$0.530491\pi$
$8$	−0.800541	−	0.599278i	−0.283034	−	0.211877i
$9$	0.825644	−	2.81189i	0.275215	−	0.937295i
$10$	−2.09109	−	0.792050i	−0.661261	−	0.250468i
$11$	−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	$0.210343\pi$
$12$	0.0559997	+	0.257426i	0.0161657	+	0.0743126i
$13$	0.477212	+	6.67230i	0.132355	+	1.85056i	0.438690	+	0.898638i	$0.355443\pi$
$13$	0.477212	+	6.67230i	0.132355	+	1.85056i	−0.306335	+	0.951924i	$0.599103\pi$
$14$	0.123824	+	0.0363580i	0.0330933	+	0.00971708i
$15$	0.279690	+	0.518454i	0.0722158	+	0.133864i
$16$	0.654861	+	0.755750i	0.163715	+	0.188937i
$17$	3.30878	+	1.23411i	0.802498	+	0.299316i	0.717046	−	0.697026i	$-0.245494\pi$
$17$	3.30878	+	1.23411i	0.802498	+	0.299316i	0.0854519	+	0.996342i	$0.472767\pi$
$18$	−1.40449	+	2.57212i	−0.331040	+	0.606255i
$19$	3.16720	−	6.93520i	0.726605	−	1.59104i	−0.0778047	−	0.996969i	$-0.524791\pi$
$19$	3.16720	−	6.93520i	0.726605	−	1.59104i	0.804410	−	0.594075i	$-0.202482\pi$
$20$	1.87494	+	1.21844i	0.419249	+	0.272452i
$21$	−0.0183808	−	0.0286011i	−0.00401102	−	0.00624127i
$22$	0.419768	−	0.419768i	0.0894949	−	0.0894949i
$23$	0.464439	−	4.77329i	0.0968423	−	0.995300i
$23$	0.464439	−	4.77329i	0.0968423	−	0.995300i
$24$		−	0.263447i		−	0.0537759i
$25$	4.78292	+	1.45729i	0.956583	+	0.291459i
$26$	0.951992	−	6.62125i	0.186701	−	1.29853i
$27$	1.46389	−	0.546002i	0.281725	−	0.105078i
$28$	−0.113266	−	0.0618477i	−0.0214052	−	0.0116881i
$29$	−3.04513	+	1.39067i	−0.565467	+	0.258240i	−0.677572	−	0.735456i	$-0.736968\pi$
$29$	−3.04513	+	1.39067i	−0.565467	+	0.258240i	0.112105	+	0.993696i	$0.464241\pi$
$30$	−0.163093	−	0.566058i	−0.0297766	−	0.103348i
$31$	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	$0.757738\pi$
$32$	−0.479249	−	0.877679i	−0.0847201	−	0.155153i
$33$	−0.155995	+	0.0111570i	−0.0271552	+	0.00194218i
$34$	−2.97084	−	1.90924i	−0.509494	−	0.327432i
$35$	−0.281658	−	0.0627700i	−0.0476089	−	0.0106101i
$36$	1.91913	−	2.21480i	0.319855	−	0.369133i
$37$	−6.62864	+	3.61951i	−1.08974	+	0.595044i	−0.920584	−	0.390545i	$-0.872287\pi$
$37$	−6.62864	+	3.61951i	−1.08974	+	0.595044i	−0.169158	+	0.985589i	$0.554105\pi$
$38$	−4.56900	+	6.10347i	−0.741190	+	0.990114i
$39$	−1.33185	+	1.15405i	−0.213266	+	0.184796i
$40$	−1.57309	−	1.58914i	−0.248728	−	0.251266i
$41$	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	$0.167350\pi$
$42$	0.0118811	+	0.0318546i	0.00183330	+	0.00491527i
$43$	−9.33381	+	6.98721i	−1.42339	+	1.06554i	−0.437306	+	0.899313i	$0.644067\pi$
$43$	−9.33381	+	6.98721i	−1.42339	+	1.06554i	−0.986088	+	0.166226i	$0.946842\pi$
$44$	−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	$-0.519807\pi$
$48$	−0.0559997	+	0.257426i	−0.00808286	+	0.0371563i
$49$	−6.91227	−	0.993834i	−0.987466	−	0.141976i
$50$	−4.36384	−	2.44067i	−0.617140	−	0.345163i
$51$	0.262109	+	0.892662i	0.0367026	+	0.124998i
$52$	−2.33768	+	6.26758i	−0.324179	+	0.869156i
$53$	0.387357	−	5.41595i	0.0532075	−	0.743938i	−0.898896	−	0.438162i	$-0.855630\pi$
$53$	0.387357	−	5.41595i	0.0532075	−	0.743938i	0.952103	−	0.305776i	$-0.0989159\pi$
$54$	−1.54649	+	0.222352i	−0.210451	+	0.0302583i
$55$	−0.874359	+	0.998775i	−0.117899	+	0.134675i
$56$	0.0975305	+	0.0845107i	0.0130331	+	0.0112932i
$57$	1.96266	−	0.426952i	0.259961	−	0.0565511i
$58$	3.27115	−	0.711595i	0.429523	−	0.0934370i
$59$	−8.56443	−	7.42112i	−1.11499	−	0.966148i	−0.115363	−	0.993323i	$-0.536803\pi$
$59$	−8.56443	−	7.42112i	−1.11499	−	0.966148i	−0.999631	+	0.0271755i	$0.991349\pi$
$60$	0.0390417	+	0.587790i	0.00504026	+	0.0758834i
$61$	−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	$0.522319\pi$
$62$	0.460468	−	6.43818i	0.0584795	−	0.817650i
$63$	−0.132166	+	0.354352i	−0.0166514	+	0.0446441i
$64$	0.281733	+	0.959493i	0.0352166	+	0.119937i
$65$	−1.14280	+	14.9141i	−0.141747	+	1.84987i
$66$	0.154801	+	0.0222571i	0.0190547	+	0.00273966i
$67$	−1.20124	+	5.52199i	−0.146754	+	0.674619i	0.843704	+	0.536808i	$0.180370\pi$
$67$	−1.20124	+	5.52199i	−0.146754	+	0.674619i	−0.990459	+	0.137810i	$0.955994\pi$
$68$	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	$0.374797\pi$
$72$	−2.34606	+	1.75624i	−0.276486	+	0.206975i
$73$	0.0488904	+	0.131080i	0.00572219	+	0.0153418i	0.939779	−	0.341782i	$-0.111030\pi$
$73$	0.0488904	+	0.131080i	0.00572219	+	0.0153418i	−0.934057	+	0.357123i	$0.883758\pi$
$74$	7.24654	−	2.12778i	0.842393	−	0.247349i
$75$	0.447773	+	1.23879i	0.0517044	+	0.143043i
$76$	5.76197	−	4.99278i	0.660943	−	0.572711i
$77$	0.0459109	−	0.0613297i	0.00523203	−	0.00698917i
$78$	1.54672	−	0.844574i	0.175132	−	0.0956292i
$79$	2.30971	−	2.66555i	0.259863	−	0.299898i	−0.610793	−	0.791790i	$-0.709149\pi$
$79$	2.30971	−	2.66555i	0.259863	−	0.299898i	0.870656	+	0.491893i	$0.163695\pi$
$80$	1.19935	+	1.88721i	0.134091	+	0.210997i
$81$	−7.04985	−	4.53067i	−0.783317	−	0.503407i
$82$	−8.79495	+	0.629027i	−0.971240	+	0.0694645i
$83$	−0.134648	−	0.246590i	−0.0147796	−	0.0270668i	0.870185	−	0.492725i	$-0.163999\pi$
$83$	−0.134648	−	0.246590i	−0.0147796	−	0.0270668i	−0.884964	+	0.465659i	$0.845817\pi$
$84$	−0.00483845	−	0.0336521i	−0.000527918	−	0.00367175i
$85$	6.91133	+	3.81954i	0.749639	+	0.414287i
$86$	10.6057	−	4.84348i	1.14365	−	0.522286i
$87$	−0.774050	−	0.422663i	−0.0829869	−	0.0453143i
$88$	0.556213	−	0.207457i	0.0592925	−	0.0221150i
$89$	−0.270692	+	1.88270i	−0.0286933	+	0.199566i	−0.999126	−	0.0418069i	$-0.986689\pi$
$89$	−0.270692	+	1.88270i	−0.0286933	+	0.199566i	0.970432	+	0.241373i	$0.0775977\pi$
$90$	−3.95365	+	5.22595i	−0.416751	+	0.550864i
$91$		−	0.863268i		−	0.0904951i
$92$	2.40537	−	4.14900i	0.250777	−	0.432563i
$93$	−1.20240	+	1.20240i	−0.124683	+	0.124683i
$94$	5.55753	+	8.64768i	0.573215	+	0.891940i
$95$	9.28962	−	14.2949i	0.953095	−	1.46662i
$96$	0.109440	−	0.239640i	0.0111697	−	0.0244581i
$97$	5.06923	−	9.28359i	0.514702	−	0.942606i	−0.483050	−	0.875593i	$-0.660471\pi$
$97$	5.06923	−	9.28359i	0.514702	−	0.942606i	0.997752	−	0.0670134i	$-0.0213470\pi$
$98$	6.54304	+	2.44043i	0.660947	+	0.246521i
$99$	1.13928	+	1.31480i	0.114502	+	0.132142i
$100$	3.74531	+	3.31250i	0.374531	+	0.331250i
$101$	−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	$0.803215\pi$
$102$	−0.0663702	−	0.927977i	−0.00657163	−	0.0918834i
$103$	0.893069	+	4.10537i	0.0879967	+	0.404514i	0.999984	−	0.00570479i	$-0.00181590\pi$
$103$	0.893069	+	4.10537i	0.0879967	+	0.404514i	−0.911987	+	0.410219i	$0.865452\pi$
$104$	3.61653	−	5.62743i	0.354630	−	0.551815i
$105$	−0.0312294	−	0.0693117i	−0.00304767	−	0.00676413i
$106$	−1.52975	+	5.20984i	−0.148582	+	0.506025i
$107$	−5.92289	−	4.43382i	−0.572587	−	0.428634i	0.273351	−	0.961914i	$-0.411868\pi$
$107$	−5.92289	−	4.43382i	−0.572587	−	0.428634i	−0.845938	+	0.533281i	$0.820959\pi$
$108$	1.55842	+	0.111460i	0.149959	+	0.0107253i
$109$	4.31113	+	9.44005i	0.412931	+	0.904193i	0.995794	+	0.0916222i	$0.0292052\pi$
$109$	4.31113	+	9.44005i	0.412931	+	0.904193i	−0.582863	+	0.812571i	$0.698068\pi$
$110$	1.06668	−	0.790091i	0.101704	−	0.0753322i
$111$	−1.80987	−	0.826541i	−0.171785	−	0.0784518i
$112$	−0.0773376	−	0.103311i	−0.00730772	−	0.00976197i
$113$	−5.37701	−	1.16970i	−0.505827	−	0.110036i	−0.0475915	−	0.998867i	$-0.515155\pi$
$113$	−5.37701	−	1.16970i	−0.505827	−	0.110036i	−0.458235	+	0.888831i	$0.651518\pi$
$114$	−2.00857			−0.188120
$115$	2.59977	−	10.4039i	0.242430	−	0.970169i
$116$	−3.34765			−0.310822
$117$	19.1557	+	4.16708i	1.77095	+	0.385246i
$118$	6.79123	+	9.07203i	0.625184	+	0.835148i
$119$	−0.414553	−	0.189320i	−0.0380020	−	0.0173549i
$120$	0.0867943	−	0.582656i	0.00792320	−	0.0531890i
$121$	4.42317	+	9.68539i	0.402106	+	0.880490i
$122$	3.29236	+	0.235475i	0.298077	+	0.0213189i
$123$	1.85959	+	1.39208i	0.167674	+	0.125519i
$124$	−1.81848	+	6.19317i	−0.163304	+	0.556163i
$125$	10.0981	+	4.79881i	0.903201	+	0.429218i
$126$	0.204469	−	0.318160i	0.0182155	−	0.0283439i
$127$	−0.767358	−	3.52749i	−0.0680920	−	0.313014i	0.930486	−	0.366328i	$-0.119385\pi$
$127$	−0.767358	−	3.52749i	−0.0680920	−	0.313014i	−0.998578	+	0.0533142i	$0.983022\pi$
$128$	−0.0713392	−	0.997452i	−0.00630555	−	0.0881631i
$129$	−2.94721	−	0.865378i	−0.259487	−	0.0761922i
$130$	4.28690	−	14.3303i	0.375986	−	1.25685i
$131$	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	$0.638619\pi$
$132$	−0.146533	−	0.0546538i	−0.0127540	−	0.00475700i
$133$	−0.471538	+	0.863558i	−0.0408875	+	0.0748800i
$134$	2.34757	−	5.14046i	0.202799	−	0.444068i
$135$	3.41751	−	0.725286i	0.294133	−	0.0624226i
$136$	−1.90924	−	2.97084i	−0.163716	−	0.254747i
$137$	5.33800	−	5.33800i	0.456056	−	0.456056i	−0.441302	−	0.897358i	$-0.645483\pi$
$137$	5.33800	−	5.33800i	0.456056	−	0.456056i	0.897358	+	0.441302i	$0.145483\pi$
$138$	−1.19470	+	0.411090i	−0.101699	+	0.0349943i
$139$		−	4.12747i		−	0.350088i	−0.984561	−	0.175044i	$-0.943993\pi$
$139$		−	4.12747i		−	0.350088i	0.984561	−	0.175044i	$-0.0560067\pi$
$140$	−0.230129	−	0.174103i	−0.0194495	−	0.0147143i
$141$	0.385404	−	2.68054i	0.0324569	−	0.225742i
$142$	2.79359	−	1.04196i	0.234433	−	0.0874389i
$143$	−3.48533	−	1.90313i	−0.291458	−	0.159148i
$144$	2.66576	−	1.21741i	0.222147	−	0.101451i
$145$	−7.19297	+	2.07245i	−0.597344	+	0.172107i
$146$	−0.0199100	−	0.138477i	−0.00164776	−	0.0114605i
$147$	−0.881694	−	1.61470i	−0.0727209	−	0.133178i
$148$	−7.53323	+	0.538787i	−0.619227	+	0.0442880i
$149$	13.0303	+	8.37405i	1.06748	+	0.686029i	0.951633	−	0.307238i	$-0.0994048\pi$
$149$	13.0303	+	8.37405i	1.06748	+	0.686029i	0.115849	+	0.993267i	$0.463041\pi$
$150$	−0.174216	−	1.30566i	−0.0142247	−	0.106607i
$151$	−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	$0.385533\pi$
$152$	−6.69158	+	3.65388i	−0.542759	+	0.296369i
$153$	6.20206	−	8.28498i	0.501407	−	0.669801i
$154$	−0.0578982	+	0.0501691i	−0.00466557	+	0.00404274i
$155$	−0.0732627	+	14.4328i	−0.00588460	+	1.15927i
$156$	−1.69090	+	0.496493i	−0.135380	+	0.0397513i
$157$	−1.95349	−	5.23752i	−0.155906	−	0.417999i	0.835389	−	0.549659i	$-0.185242\pi$
$157$	−1.95349	−	5.23752i	−0.155906	−	0.417999i	−0.991295	+	0.131659i	$0.957970\pi$
$158$	−2.82353	+	2.11367i	−0.224628	+	0.168154i
$159$	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
$163$	3.97329	−	18.2649i	0.311212	−	1.43062i	−0.510088	−	0.860122i	$-0.670387\pi$
$163$	3.97329	−	18.2649i	0.311212	−	1.43062i	0.821300	−	0.570497i	$-0.193249\pi$
$164$	8.72767	+	1.25485i	0.681517	+	0.0979873i
$165$	−0.348684	−	0.0267180i	−0.0271450	−	0.00207999i
$166$	0.0791547	+	0.269576i	0.00614359	+	0.0209232i
$167$	−7.46345	+	20.0103i	−0.577539	+	1.54844i	0.238921	+	0.971039i	$0.423206\pi$
$167$	−7.46345	+	20.0103i	−0.577539	+	1.54844i	−0.816460	+	0.577403i	$0.804066\pi$
$168$	−0.00242540	+	0.0339116i	−0.000187124	+	0.00261633i
$169$	−31.4241	+	4.51811i	−2.41724	+	0.347547i
$170$	−5.94148	−	5.20136i	−0.455691	−	0.398926i
$171$	−16.8860	−	14.6318i	−1.29131	−	1.11892i
$172$	−11.3929	+	2.47838i	−0.868702	+	0.188975i
$173$	8.36230	−	1.81911i	0.635774	−	0.138304i	0.116884	−	0.993146i	$-0.462709\pi$
$173$	8.36230	−	1.81911i	0.635774	−	0.138304i	0.518889	+	0.854841i	$0.326346\pi$
$174$	0.666517	+	0.577541i	0.0505285	+	0.0437832i
$175$	−0.602253	−	0.231620i	−0.0455260	−	0.0175088i
$176$	−0.587600	+	0.0844841i	−0.0442920	+	0.00636823i
$177$	0.212982	−	2.97787i	0.0160087	−	0.223830i
$178$	0.664703	−	1.78214i	0.0498216	−	0.133577i
$179$	2.31893	+	7.89754i	0.173325	+	0.590289i	0.999633	+	0.0270722i	$0.00861841\pi$
$179$	2.31893	+	7.89754i	0.173325	+	0.590289i	−0.826309	+	0.563217i	$0.809563\pi$
$180$	4.97415	−	4.26612i	0.370752	−	0.317977i
$181$	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	$0.482889\pi$
$182$	−0.183501	+	0.843540i	−0.0136020	+	0.0625273i
$183$	−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
$187$	−1.67826	+	1.25633i	−0.122727	+	0.0918721i
$188$	−3.59232	−	9.63139i	−0.261997	−	0.702441i
$189$	−0.193462	+	0.0568056i	−0.0140723	+	0.00413200i
$190$	−12.1159	+	11.9935i	−0.878981	+	0.870103i
$191$	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	$0.128787\pi$
$192$	−0.157878	+	0.210900i	−0.0113939	+	0.0152204i
$193$	10.7469	−	5.86823i	0.773577	−	0.422405i	−0.0434130	−	0.999057i	$-0.513823\pi$
$193$	10.7469	−	5.86823i	0.773577	−	0.422405i	0.816990	+	0.576652i	$0.195641\pi$
$194$	−6.92675	+	7.99389i	−0.497311	+	0.573928i
$195$	−3.32581	+	2.11359i	−0.238166	+	0.151357i
$196$	−5.87476	−	3.77548i	−0.419626	−	0.269677i
$197$	−7.45610	+	0.533270i	−0.531225	+	0.0379939i	−0.334376	−	0.942440i	$-0.608525\pi$
$197$	−7.45610	+	0.533270i	−0.531225	+	0.0379939i	−0.196849	+	0.980434i	$0.563071\pi$
$198$	−0.833761	−	1.52692i	−0.0592528	−	0.108513i
$199$	−0.825740	−	5.74315i	−0.0585351	−	0.407121i	−0.997931	−	0.0642876i	$-0.979522\pi$
$199$	−0.825740	−	5.74315i	−0.0585351	−	0.407121i	0.939396	−	0.342833i	$-0.111387\pi$
$200$	−2.95560	−	4.03292i	−0.208992	−	0.285170i
$201$	−1.35424	+	0.618459i	−0.0955205	+	0.0436228i
$202$	10.9131	+	5.95899i	0.767842	+	0.419273i
$203$	0.404780	−	0.150975i	0.0284100	−	0.0105964i
$204$	−0.132402	+	0.920878i	−0.00927001	+	0.0644743i
$205$	19.5297	−	2.70683i	1.36401	−	0.189053i
$206$		−	4.20139i		−	0.292724i
$207$	−13.0385	−	5.24699i	−0.906237	−	0.364691i
$208$	−4.73008	+	4.73008i	−0.327972	+	0.327972i
$209$	2.44696	+	3.80754i	0.169260	+	0.263373i
$210$	0.0157824	+	0.0743660i	0.00108909	+	0.00513174i
$211$	−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	$0.209774\pi$
$212$	2.60222	−	4.76561i	0.178721	−	0.327303i
$213$	−0.735963	−	0.274500i	−0.0504273	−	0.0188084i
$214$	4.84506	+	5.59149i	0.331201	+	0.382227i
$215$	−22.9452	+	12.3783i	−1.56485	+	0.844191i
$216$	−1.49911	−	0.440178i	−0.102001	−	0.0299503i
$217$	−0.0594240	−	0.830856i	−0.00403396	−	0.0564022i
$218$	−2.20598	−	10.1407i	−0.149408	−	0.686816i
$219$	−0.0199261	+	0.0310057i	−0.00134648	+	0.00209517i
$220$	−1.21025	+	0.545296i	−0.0815951	+	0.0367638i
$221$	−6.65537	+	22.6661i	−0.447689	+	1.52469i
$222$	1.59282	+	1.19237i	0.106903	+	0.0800265i
$223$	−8.75739	−	0.626341i	−0.586438	−	0.0419429i	−0.225032	−	0.974351i	$-0.572249\pi$
$223$	−8.75739	−	0.626341i	−0.586438	−	0.0419429i	−0.361406	+	0.932409i	$0.617703\pi$
$224$	0.0536099	+	0.117389i	0.00358196	+	0.00784340i
$225$	8.04673	−	12.2458i	0.536449	−	0.816387i
$226$	5.00549	+	2.28593i	0.332960	+	0.152058i
$227$	9.61262	+	12.8410i	0.638012	+	0.852284i	0.996700	−	0.0811732i	$-0.0258667\pi$
$227$	9.61262	+	12.8410i	0.638012	+	0.852284i	−0.358688	+	0.933458i	$0.616776\pi$
$228$	1.96266	+	0.426952i	0.129981	+	0.0282756i
$229$	17.3793			1.14845			0.574227	−	0.818696i	$-0.305303\pi$
$229$	17.3793			1.14845			0.574227	+	0.818696i	$0.305303\pi$
$230$	−4.75187	+	9.61352i	−0.313329	+	0.633897i
$231$	0.0201828			0.00132793
$232$	3.27115	+	0.711595i	0.214761	+	0.0467185i
$233$	−10.8683	−	14.5184i	−0.712007	−	0.951130i	0.287972	−	0.957639i	$-0.407019\pi$
$233$	−10.8683	−	14.5184i	−0.712007	−	0.951130i	−0.999979	+	0.00650891i	$0.997928\pi$
$234$	−17.8322	−	8.14369i	−1.16573	−	0.532370i
$235$	−13.6812	−	18.4707i	−0.892465	−	1.20489i
$236$	−4.70764	−	10.3083i	−0.306441	−	0.671012i
$237$	0.926817	+	0.0662872i	0.0602032	+	0.00430582i
$238$	0.364836	+	0.273113i	0.0236488	+	0.0177033i
$239$	2.94260	−	10.0216i	0.190341	−	0.648242i	−0.807920	−	0.589292i	$-0.799407\pi$
$239$	2.94260	−	10.0216i	0.190341	−	0.648242i	0.998261	−	0.0589499i	$-0.0187752\pi$
$240$	−0.208663	+	0.550891i	−0.0134692	+	0.0355599i
$241$	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	$0.0255759\pi$
$242$	−2.26331	−	10.4043i	−0.145491	−	0.668811i
$243$	−0.491878	−	6.87736i	−0.0315540	−	0.441183i
$244$	−3.16707	−	0.929936i	−0.202751	−	0.0595330i
$245$	−14.9602	−	4.47532i	−0.955771	−	0.285917i
$246$	−1.52119	−	1.75555i	−0.0969876	−	0.111930i
$247$	47.7851	+	17.8229i	3.04049	+	1.13405i
$248$	3.09337	−	5.66509i	0.196429	−	0.359734i
$249$	0.0307479	−	0.0673284i	0.00194857	−	0.00426677i
$250$	−8.84726	−	6.83564i	−0.559550	−	0.432324i
$251$	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
$253$	2.23474	+	1.76392i	0.140497	+	0.110896i
$254$			3.60999i			0.226511i
$255$	0.285604	+	2.06062i	0.0178852	+	0.129041i
$256$	−0.142315	+	0.989821i	−0.00889468	+	0.0618638i
$257$	2.35340	−	0.877771i	0.146801	−	0.0547539i	−0.274990	−	0.961447i	$-0.588674\pi$
$257$	2.35340	−	0.877771i	0.146801	−	0.0547539i	0.421791	+	0.906693i	$0.361402\pi$
$258$	2.69590	+	1.47207i	0.167840	+	0.0916474i
$259$	0.886579	−	0.404887i	0.0550893	−	0.0251584i
$260$	−7.23507	+	13.0916i	−0.448700	+	0.811907i
$261$	1.39620	+	9.71076i	0.0864224	+	0.601081i
$262$	−4.48649	−	8.21639i	−0.277176	−	0.507610i
$263$	22.2561	−	1.59179i	1.37237	−	0.0981540i	0.634410	−	0.772997i	$-0.281243\pi$
$263$	22.2561	−	1.59179i	1.37237	−	0.0981540i	0.737962	+	0.674843i	$0.235789\pi$
$264$	0.131566	+	0.0845525i	0.00809735	+	0.00520385i
$265$	2.64102	−	11.8507i	0.162237	−	0.727980i
$266$	0.644325	−	0.743590i	0.0395061	−	0.0455924i
$267$	−0.439798	+	0.240148i	−0.0269152	+	0.0146968i
$268$	−3.38660	+	4.52397i	−0.206870	+	0.276345i
$269$	−18.2383	+	15.8036i	−1.11201	+	0.963561i	−0.999547	−	0.0300949i	$-0.990419\pi$
$269$	−18.2383	+	15.8036i	−1.11201	+	0.963561i	−0.112462	+	0.993656i	$0.535874\pi$
$270$	−3.49358	−	0.0177338i	−0.212613	−	0.00107925i
$271$	−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	$0.463667\pi$
$272$	1.23411	+	3.30878i	0.0748290	+	0.200624i
$273$	0.182063	−	0.136291i	0.0110190	−	0.00824871i
$274$	−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	$0.750984\pi$
$278$	−0.877357	+	4.03315i	−0.0526204	+	0.241892i
$279$	18.7234	+	2.69201i	1.12094	+	0.161167i
$280$	0.187862	+	0.219041i	0.0112269	+	0.0130902i
$281$	−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	$-0.199244\pi$
$282$	−0.946387	+	2.53736i	−0.0563565	+	0.151098i
$283$	−1.03987	+	14.5393i	−0.0618140	+	0.864273i	0.868075	+	0.496433i	$0.165357\pi$
$283$	−1.03987	+	14.5393i	−0.0618140	+	0.864273i	−0.929889	+	0.367840i	$0.880097\pi$
$284$	−2.95123	+	0.424323i	−0.175123	+	0.0251789i
$285$	4.48142	−	0.297661i	0.265456	−	0.0176319i
$286$	3.00114	+	2.60050i	0.177461	+	0.153771i
$287$	−1.11190	+	0.241878i	−0.0656331	+	0.0142776i
$288$	−2.86362	+	0.622943i	−0.168741	+	0.0367073i
$289$	−3.42274	−	2.96582i	−0.201337	−	0.174460i
$290$	7.46912	−	0.496108i	0.438602	−	0.0291325i
$291$	2.75823	−	0.396574i	0.161690	−	0.0232476i
$292$	−0.00998043	+	0.139545i	−0.000584061	+	0.00816624i
$293$	−2.61934	+	7.02273i	−0.153024	+	0.410272i	−0.990729	−	0.135850i	$-0.956624\pi$
$293$	−2.61934	+	7.02273i	−0.153024	+	0.410272i	0.837706	+	0.546122i	$0.183896\pi$
$294$	0.518315	+	1.76522i	0.0302287	+	0.102950i
$295$	−16.4967	−	19.2346i	−0.960476	−	1.11988i
$296$	7.47560	+	1.07483i	0.434510	+	0.0624731i
$297$	−0.197155	+	0.906308i	−0.0114401	+	0.0525893i
$298$	−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
$302$	9.38384	−	7.02466i	0.539980	−	0.404224i
$303$	−1.14474	−	3.06917i	−0.0657637	−	0.176319i
$304$	7.31535	−	2.14798i	0.419564	−	0.123195i
$305$	−7.38066	−	0.0374651i	−0.422615	−	0.00214525i
$306$	−7.82142	+	6.77730i	−0.447121	+	0.387432i
$307$	4.93716	−	6.59528i	0.281779	−	0.376412i	−0.637214	−	0.770687i	$-0.719913\pi$
$307$	4.93716	−	6.59528i	0.281779	−	0.376412i	0.918993	+	0.394275i	$0.129004\pi$
$308$	0.0672393	−	0.0367154i	0.00383131	−	0.00209206i
$309$	−0.724828	+	0.836496i	−0.0412340	+	0.0475866i
$310$	3.13950	−	14.0874i	0.178312	−	0.800110i
$311$	−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	$0.704146\pi$
$312$	1.75780	−	0.125720i	0.0995156	−	0.00711750i
$313$	−8.42614	−	15.4313i	−0.476274	−	0.872230i	−0.999796	−	0.0202181i	$-0.993564\pi$
$313$	−8.42614	−	15.4313i	−0.476274	−	0.872230i	0.523522	−	0.852012i	$-0.324618\pi$
$314$	0.795535	+	5.53307i	0.0448947	+	0.312249i
$315$	−0.409051	+	0.740164i	−0.0230474	+	0.0417035i
$316$	3.20830	−	1.46518i	0.180481	−	0.0824228i
$317$	−11.6490	−	6.36085i	−0.654274	−	0.357261i	0.117577	−	0.993064i	$-0.462487\pi$
$317$	−11.6490	−	6.36085i	−0.654274	−	0.357261i	−0.771851	+	0.635803i	$0.780669\pi$
$318$	−1.34027	+	0.499895i	−0.0751586	+	0.0280327i
$319$	0.282823	−	1.96708i	0.0158351	−	0.110135i
$320$	0.306987	+	2.21489i	0.0171611	+	0.123816i
$321$		−	1.94914i		−	0.108790i
$322$	0.231056	−	0.574161i	0.0128762	−	0.0319968i
$323$	19.0384	−	19.0384i	1.05932	−	1.05932i
$324$	−4.53067	−	7.04985i	−0.251704	−	0.391659i
$325$	−7.44103	+	32.6085i	−0.412754	+	1.80879i
$326$	−7.76498	+	17.0029i	−0.430062	+	0.941705i
$327$	−1.31028	+	2.39959i	−0.0724585	+	0.132698i
$328$	−8.26148	−	3.08137i	−0.456164	−	0.170140i
$329$	0.868729	+	1.00257i	0.0478946	+	0.0552733i
$330$	0.335036	+	0.100225i	0.0184431	+	0.00551723i
$331$	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	$0.440216\pi$
$332$	−0.0200432	−	0.280241i	−0.00110001	−	0.0153802i
$333$	4.70476	+	21.6274i	0.257819	+	1.18518i
$334$	11.5464	−	17.9665i	0.631789	−	0.983084i
$335$	−4.47599	+	11.8170i	−0.244549	+	0.645634i
$336$	0.00957840	−	0.0326210i	0.000522544	−	0.00177962i
$337$	3.20968	+	2.40274i	0.174843	+	0.130886i	0.683115	−	0.730311i	$-0.260625\pi$
$337$	3.20968	+	2.40274i	0.174843	+	0.130886i	−0.508272	+	0.861196i	$0.669716\pi$
$338$	31.6664	+	2.26482i	1.72242	+	0.123190i
$339$	−0.602222	−	1.31868i	−0.0327082	−	0.0716210i
$340$	4.70007	+	6.34545i	0.254897	+	0.344130i
$341$	−3.48547	−	1.59176i	−0.188749	−	0.0861987i
$342$	13.3899	+	17.8868i	0.724042	+	0.967208i
$343$	1.76333	+	0.383589i	0.0952109	+	0.0207119i
$344$	11.6594			0.628632
$345$	2.60463	−	1.09425i	0.140229	−	0.0589126i
$346$	−8.55787			−0.460074
$347$	−6.30247	−	1.37102i	−0.338335	−	0.0736002i	0.0401883	−	0.999192i	$-0.487204\pi$
$347$	−6.30247	−	1.37102i	−0.338335	−	0.0736002i	−0.378523	+	0.925592i	$0.623568\pi$
$348$	−0.528520	−	0.706020i	−0.0283317	−	0.0378467i
$349$	−8.91227	−	4.07010i	−0.477063	−	0.217867i	0.162347	−	0.986734i	$-0.448094\pi$
$349$	−8.91227	−	4.07010i	−0.477063	−	0.217867i	−0.639409	+	0.768867i	$0.720821\pi$
$350$	0.539255	+	0.354345i	0.0288244	+	0.0189405i
$351$	4.34167	+	9.50693i	0.231741	+	0.507443i
$352$	0.592130	+	0.0423499i	0.0315606	+	0.00225726i
$353$	7.36166	+	5.51087i	0.391822	+	0.293314i	0.776966	−	0.629542i	$-0.216758\pi$
$353$	7.36166	+	5.51087i	0.391822	+	0.293314i	−0.385145	+	0.922856i	$0.625848\pi$
$354$	−0.841106	+	2.86454i	−0.0447043	+	0.152249i
$355$	−6.07851	+	2.73876i	−0.322614	+	0.145358i
$356$	−1.02833	+	1.60012i	−0.0545015	+	0.0848060i
$357$	−0.0255211	−	0.117319i	−0.00135072	−	0.00620917i
$358$	−0.587189	−	8.20997i	−0.0310339	−	0.433911i
$359$	5.58113	+	1.63877i	0.294561	+	0.0864909i	0.425674	−	0.904876i	$-0.360037\pi$
$359$	5.58113	+	1.63877i	0.294561	+	0.0864909i	−0.131113	+	0.991367i	$0.541855\pi$
$360$	−5.76731	+	3.11129i	−0.303964	+	0.163979i
$361$	−25.6235	−	29.5711i	−1.34860	−	1.55637i
$362$	−4.92343	−	1.83634i	−0.258769	−	0.0965160i
$363$	−1.34433	+	2.46196i	−0.0705590	+	0.129219i
$364$	0.358615	−	0.785257i	0.0187965	−	0.0411586i
$365$	0.0649440	+	0.306013i	0.00339932	+	0.0160175i
$366$	0.470130	+	0.731536i	0.0245741	+	0.0382380i
$367$	0.794255	−	0.794255i	0.0414598	−	0.0414598i	−0.686073	−	0.727533i	$-0.740667\pi$
$367$	0.794255	−	0.794255i	0.0414598	−	0.0414598i	0.727533	+	0.686073i	$0.240667\pi$
$368$	3.91155	−	2.77484i	0.203904	−	0.144649i
$369$		−	25.8403i		−	1.34519i
$370$	16.7279	−	2.31851i	0.869643	−	0.120533i
$371$	−0.0997231	+	0.693589i	−0.00517736	+	0.0360094i
$372$	−1.59324	+	0.594247i	−0.0826056	+	0.0308103i
$373$	22.6734	+	12.3806i	1.17399	+	0.641045i	0.943286	−	0.331980i	$-0.107717\pi$
$373$	22.6734	+	12.3806i	1.17399	+	0.641045i	0.230699	+	0.973025i	$0.425899\pi$
$374$	1.90696	−	0.870881i	0.0986067	−	0.0450322i
$375$	0.582196	+	2.88731i	0.0300645	+	0.149100i
$376$	1.46293	+	10.1749i	0.0754448	+	0.524730i
$377$	−10.7321	−	19.6544i	−0.552731	−	1.01225i
$378$	0.201116	−	0.0143841i	0.0103443	−	0.000739837i
$379$	16.4009	+	10.5402i	0.842459	+	0.541415i	0.889214	−	0.457491i	$-0.151252\pi$
$379$	16.4009	+	10.5402i	0.842459	+	0.541415i	−0.0467555	+	0.998906i	$0.514888\pi$
$380$	14.3884	−	9.14402i	0.738112	−	0.469079i
$381$	0.622799	−	0.718748i	0.0319069	−	0.0368226i
$382$	−10.6001	+	5.78811i	−0.542350	+	0.296145i
$383$	−2.12726	+	2.84169i	−0.108698	+	0.145203i	−0.851591	−	0.524206i	$-0.824362\pi$
$383$	−2.12726	+	2.84169i	−0.108698	+	0.145203i	0.742893	+	0.669410i	$0.233453\pi$
$384$	0.199100	−	0.172521i	0.0101603	−	0.00880393i
$385$	0.121745	−	0.120515i	0.00620469	−	0.00614202i
$386$	−11.7487	+	3.44972i	−0.597991	+	0.175586i
$387$	11.9408	+	32.0146i	0.606986	+	1.62739i
$388$	8.46767	−	6.33882i	0.429881	−	0.321805i
$389$	−18.2951	+	11.7576i	−0.927600	+	0.596132i	−0.914853	−	0.403786i	$-0.867694\pi$
$389$	−18.2951	+	11.7576i	−0.927600	+	0.596132i	−0.0127468	+	0.999919i	$0.504058\pi$
$390$	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
$393$	−0.524241	+	2.40990i	−0.0264445	+	0.121563i
$394$	7.39906	+	1.06382i	0.372759	+	0.0535947i
$395$	5.98649	−	5.13435i	0.301213	−	0.258337i
$396$	0.490137	+	1.66925i	0.0246303	+	0.0838832i
$397$	3.21931	−	8.63130i	0.161573	−	0.433193i	−0.830784	−	0.556595i	$-0.812108\pi$
$397$	3.21931	−	8.63130i	0.161573	−	0.433193i	0.992357	+	0.123402i	$0.0393804\pi$
$398$	−0.413925	+	5.78742i	−0.0207482	+	0.290097i
$399$	−0.256570	+	0.0368892i	−0.0128446	+	0.00184677i
$400$	2.03080	+	4.56901i	0.101540	+	0.228451i
$401$	−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	$0.883046\pi$
$402$	1.45475	−	0.316462i	0.0725564	−	0.0157837i
$403$	−42.1905	+	9.17797i	−2.10166	+	0.457187i
$404$	−9.39701	−	8.14255i	−0.467519	−	0.405107i
$405$	−14.0993	−	12.3429i	−0.700598	−	0.613325i
$406$	−0.427622	+	0.0614827i	−0.0212225	+	0.00305134i
$407$	0.319847	−	4.47204i	0.0158542	−	0.221671i
$408$	0.325123	−	0.871689i	0.0160960	−	0.0431550i
$409$	−5.41828	−	18.4530i	−0.267917	−	0.912441i	−0.978049	−	0.208373i	$-0.933183\pi$
$409$	−5.41828	−	18.4530i	−0.267917	−	0.912441i	0.710132	−	0.704068i	$-0.248635\pi$
$410$	−19.6587	−	1.50636i	−0.970875	−	0.0743936i
$411$	1.96854	+	0.283033i	0.0971008	+	0.0139610i
$412$	−0.893069	+	4.10537i	−0.0439983	+	0.202257i
$413$	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
$417$	0.870485	−	0.651637i	0.0426278	−	0.0319108i
$418$	−1.58169	−	4.24067i	−0.0773628	−	0.207418i
$419$	−11.3802	+	3.34154i	−0.555960	+	0.163245i	−0.547630	−	0.836721i	$-0.684470\pi$
$419$	−11.3802	+	3.34154i	−0.555960	+	0.163245i	−0.00833037	+	0.999965i	$0.502652\pi$
$420$	0.000385893	−	0.0760213i	1.88297e−5	−	0.00370946i
$421$	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	$0.0757811\pi$
$422$	3.97967	−	5.31622i	0.193727	−	0.258790i
$423$	−26.4402	+	14.4374i	−1.28557	+	0.701972i
$424$	−3.55575	+	4.10356i	−0.172683	+	0.199286i
$425$	14.0272	+	10.7245i	0.680417	+	0.520216i
$426$	0.660795	+	0.424667i	0.0320156	+	0.0205752i
$427$	0.424884	−	0.0303883i	0.0205616	−	0.00147059i
$428$	−3.54577	−	6.49360i	−0.171391	−	0.313880i
$429$	−0.148885	−	1.03552i	−0.00718824	−	0.0499953i
$430$	25.0521	−	7.21802i	1.20812	−	0.348084i
$431$	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	$0.0806550\pi$
$432$	1.37128	+	0.748777i	0.0659759	+	0.0360256i
$433$	6.17914	−	2.30470i	0.296950	−	0.110757i	−0.196573	−	0.980489i	$-0.562981\pi$
$433$	6.17914	−	2.30470i	0.296950	−	0.110757i	0.493524	+	0.869732i	$0.335709\pi$
$434$	−0.118545	+	0.824500i	−0.00569035	+	0.0395773i
$435$	−1.57269	−	1.18981i	−0.0754047	−	0.0570468i
$436$			10.3779i			0.497010i
$437$	−31.6327	−	18.3389i	−1.51320	−	0.877270i
$438$	0.0260615	−	0.0260615i	0.00124527	−	0.00124527i
$439$	21.7901	+	33.9060i	1.03998	+	1.61824i	0.750271	+	0.661131i	$0.229923\pi$
$439$	21.7901	+	33.9060i	1.03998	+	1.61824i	0.289712	+	0.957114i	$0.406440\pi$
$440$	1.29850	−	0.275577i	0.0619037	−	0.0131376i
$441$	−8.50162	+	18.6159i	−0.404839	+	0.886474i
$442$	11.3213	−	20.7334i	0.538499	−	0.986188i
$443$	0.329622	+	0.122943i	0.0156608	+	0.00584118i	0.357282	−	0.933996i	$-0.383703\pi$
$443$	0.329622	+	0.122943i	0.0156608	+	0.00584118i	−0.341622	+	0.939838i	$0.610976\pi$
$444$	−1.30296	−	1.50370i	−0.0618357	−	0.0713623i
$445$	−1.21895	+	4.07472i	−0.0577836	+	0.193160i
$446$	8.42412	+	2.47354i	0.398893	+	0.117126i
$447$	0.291104	+	4.07016i	0.0137687	+	0.192512i
$448$	−0.0274318	−	0.126102i	−0.00129603	−	0.00595777i
$449$	−4.63805	+	7.21695i	−0.218883	+	0.340589i	−0.933279	−	0.359153i	$-0.883065\pi$
$449$	−4.63805	+	7.21695i	−0.218883	+	0.340589i	0.714395	+	0.699742i	$0.246702\pi$
$450$	−10.4659	+	10.2555i	−0.493366	+	0.483449i
$451$	−1.47470	+	5.02236i	−0.0694408	+	0.236494i
$452$	−4.40519	−	3.29768i	−0.207203	−	0.155110i
$453$	−3.08022	−	0.220302i	−0.144722	−	0.0103507i
$454$	−6.66340	−	14.5908i	−0.312729	−	0.684781i
$455$	0.284409	−	1.90926i	0.0133333	−	0.0895075i
$456$	−1.82706	−	0.834389i	−0.0855598	−	0.0390738i
$457$	21.1694	+	28.2790i	0.990261	+	1.32283i	0.946123	+	0.323809i	$0.104963\pi$
$457$	21.1694	+	28.2790i	0.990261	+	1.32283i	0.0441386	+	0.999025i	$0.485946\pi$
$458$	−16.9821	−	3.69423i	−0.793522	−	0.172620i
$459$	5.51751			0.257535
$460$	6.68678	−	8.38374i	0.311772	−	0.390894i
$461$	31.7307			1.47784			0.738922	−	0.673791i	$-0.235335\pi$
$461$	31.7307			1.47784			0.738922	+	0.673791i	$0.235335\pi$
$462$	−0.0197215	−	0.00429015i	−0.000917528	−	0.000199596i
$463$	−10.8297	−	14.4668i	−0.503301	−	0.672331i	0.474889	−	0.880046i	$-0.342488\pi$
$463$	−10.8297	−	14.4668i	−0.503301	−	0.672331i	−0.978189	+	0.207715i	$0.933397\pi$
$464$	−3.04513	−	1.39067i	−0.141367	−	0.0645600i
$465$	−3.05545	+	2.26317i	−0.141693	+	0.104952i
$466$	7.53384	+	16.4968i	0.348998	+	0.764200i
$467$	−28.1253	−	2.01156i	−1.30148	−	0.0930840i	−0.596676	−	0.802482i	$-0.703512\pi$
$467$	−28.1253	−	2.01156i	−1.30148	−	0.0930840i	−0.704808	+	0.709398i	$0.748967\pi$
$468$	15.6936	+	11.7481i	0.725437	+	0.543056i
$469$	0.205464	−	0.699746i	0.00948744	−	0.0323113i
$470$	9.44235	+	20.9567i	0.435543	+	0.966662i
$471$	0.796180	−	1.23888i	0.0366860	−	0.0570846i
$472$	2.40887	+	11.0734i	0.110877	+	0.509694i
$473$	−0.493774	−	6.90386i	−0.0227038	−	0.317440i
$474$	−0.891546	−	0.261781i	−0.0409500	−	0.0120240i
$475$	25.2551	−	28.5549i	1.15878	−	1.31019i
$476$	−0.298444	−	0.344423i	−0.0136792	−	0.0157866i
$477$	−14.9092	−	5.56085i	−0.682646	−	0.254614i
$478$	−5.00560	+	9.16706i	−0.228951	+	0.419292i
$479$	0.411008	−	0.899981i	0.0187794	−	0.0411212i	−0.900010	−	0.435869i	$-0.856441\pi$
$479$	0.411008	−	0.899981i	0.0187794	−	0.0411212i	0.918789	+	0.394748i	$0.129168\pi$
$480$	0.320995	−	0.493947i	0.0146513	−	0.0225455i
$481$	−27.3137	−	42.5010i	−1.24540	−	1.93788i
$482$	−10.3488	+	10.3488i	−0.471375	+	0.471375i
$483$	−0.145058	+	0.0744535i	−0.00660037	+	0.00338775i
$484$			10.6476i			0.483981i
$485$	14.2700	−	18.8621i	0.647966	−	0.856484i
$486$	−0.981250	+	6.82474i	−0.0445104	+	0.309577i
$487$	3.88749	−	1.44996i	0.176159	−	0.0657039i	−0.259837	−	0.965652i	$-0.583669\pi$
$487$	3.88749	−	1.44996i	0.176159	−	0.0657039i	0.435996	+	0.899949i	$0.356396\pi$
$488$	2.89702	+	1.58189i	0.131142	+	0.0716089i
$489$	4.47937	−	2.04566i	0.202564	−	0.0925079i
$490$	13.6670	+	7.55306i	0.617412	+	0.341212i
$491$	−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	$-0.164275\pi$
$492$	1.11326	+	2.03878i	0.0501896	+	0.0919153i
$493$	−11.7919	+	0.843374i	−0.531081	+	0.0379837i
$494$	−42.9045	−	27.5731i	−1.93037	−	1.24057i
$495$	2.08653	+	3.28323i	0.0937826	+	0.147570i
$496$	−4.22688	+	4.87808i	−0.189793	+	0.219032i
$497$	0.337711	−	0.184404i	0.0151484	−	0.00827165i
$498$	−0.0443569	+	0.0592538i	−0.00198768	+	0.00265523i
$499$	−19.5576	+	16.9468i	−0.875520	+	0.758642i	−0.971575	−	0.236734i	$-0.923923\pi$
$499$	−19.5576	+	16.9468i	−0.875520	+	0.758642i	0.0960547	+	0.995376i	$0.469378\pi$
$500$	7.19205	+	8.56005i	0.321638	+	0.382817i
$501$	−5.39848	+	1.58514i	−0.241186	+	0.0708187i
$502$	−7.97594	−	21.3843i	−0.355984	−	0.954429i
$503$	−1.72430	+	1.29080i	−0.0768829	+	0.0575538i	−0.637028	−	0.770841i	$-0.719836\pi$
$503$	−1.72430	+	1.29080i	−0.0768829	+	0.0575538i	0.560145	+	0.828395i	$0.310745\pi$
$504$	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
$508$	0.767358	−	3.52749i	0.0340460	−	0.156507i
$509$	−6.88410	−	0.989785i	−0.305133	−	0.0438714i	−0.0119521	−	0.999929i	$-0.503805\pi$
$509$	−6.88410	−	0.989785i	−0.305133	−	0.0438714i	−0.293180	+	0.956057i	$0.594714\pi$
$510$	0.158939	−	2.07424i	0.00703795	−	0.0918489i
$511$	−0.00508652	−	0.0173231i	−0.000225014	−	0.000766329i
$512$	0.349464	−	0.936950i	0.0154443	−	0.0414077i
$513$	0.849792	−	11.8816i	0.0375192	−	0.524588i
$514$	−2.48620	+	0.357461i	−0.109661	+	0.0157669i
$515$	0.622627	+	9.37393i	0.0274362	+	0.413065i
$516$	−2.32138	−	2.01149i	−0.102193	−	0.0885508i
$517$	5.96290	−	1.29715i	0.262248	−	0.0570485i
$518$	−0.952383	+	0.207178i	−0.0418453	+	0.00910288i
$519$	1.70387	+	1.47641i	0.0747916	+	0.0648073i
$520$	9.85254	−	11.2545i	0.432063	−	0.493542i
$521$	−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	$0.669110\pi$
$522$	0.699881	−	9.78562i	0.0306330	−	0.428305i
$523$	−13.8263	+	37.0697i	−0.604581	+	1.62094i	0.167826	+	0.985817i	$0.446325\pi$
$523$	−13.8263	+	37.0697i	−0.604581	+	1.62094i	−0.772407	+	0.635128i	$0.780947\pi$
$524$	2.63744	+	8.98230i	0.115217	+	0.392393i
$525$	−0.0462337	−	0.163583i	−0.00201780	−	0.00713934i
$526$	−22.0859	−	3.17547i	−0.962990	−	0.138457i
$527$	−4.84524	+	22.2732i	−0.211062	+	0.970237i
$528$	−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
$532$	−0.787661	+	0.589636i	−0.0341494	+	0.0255640i
$533$	20.6123	+	55.2638i	0.892820	+	2.39374i
$534$	0.480795	−	0.141174i	0.0208060	−	0.00610920i
$535$	−11.6387	−	11.7575i	−0.503185	−	0.508319i
$536$	4.27084	−	3.70071i	0.184472	−	0.159846i
$537$	−1.29948	+	1.73591i	−0.0560769	+	0.0749100i
$538$	21.1808	−	11.5656i	0.913169	−	0.498628i
$539$	2.71480	−	3.13304i	0.116935	−	0.134950i
$540$	3.40997	+	0.759943i	0.146742	+	0.0327027i
$541$	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	$0.593456\pi$
$542$	5.60311	−	0.400742i	0.240674	−	0.0172134i
$543$	0.663446	+	1.21501i	0.0284712	+	0.0521411i
$544$	−0.502576	−	3.49550i	−0.0215478	−	0.149868i
$545$	6.42468	+	22.2985i	0.275203	+	0.955165i
$546$	−0.206873	+	0.0944759i	−0.00885337	+	0.00404320i
$547$	8.36502	+	4.56765i	0.357663	+	0.195299i	0.648027	−	0.761618i	$-0.275595\pi$
$547$	8.36502	+	4.56765i	0.357663	+	0.195299i	−0.290364	+	0.956916i	$0.593776\pi$
$548$	7.07310	−	2.63813i	0.302148	−	0.112695i
$549$	−1.37665	+	9.57478i	−0.0587538	+	0.408642i
$550$	2.61944	−	1.39599i	0.111693	−	0.0595253i
$551$			25.5231i			1.08732i
$552$	−1.25751	−	0.122355i	−0.0535231	−	0.00520778i
$553$	−0.321852	+	0.321852i	−0.0136865	+	0.0136865i
$554$	0.0556501	+	0.0865933i	0.00236435	+	0.00367900i
$555$	−3.73052	−	2.42430i	−0.158352	−	0.102906i
$556$	1.71461	−	3.75448i	0.0727158	−	0.159225i
$557$	−1.99896	+	3.66082i	−0.0846985	+	0.155114i	−0.916595	−	0.399817i	$-0.869074\pi$
$557$	−1.99896	+	3.66082i	−0.0846985	+	0.155114i	0.831896	+	0.554931i	$0.187255\pi$
$558$	−17.7233	−	6.61043i	−0.750285	−	0.279842i
$559$	−51.0749	−	58.9436i	−2.16024	−	2.49305i
$560$	−0.137008	−	0.253968i	−0.00578966	−	0.0107321i
$561$	−0.529921	−	0.155599i	−0.0223733	−	0.00656939i
$562$	0.798388	+	11.1629i	0.0336780	+	0.470880i
$563$	−9.02278	−	41.4770i	−0.380265	−	1.74805i	−0.627050	−	0.778979i	$-0.715738\pi$
$563$	−9.02278	−	41.4770i	−0.380265	−	1.74805i	0.246786	−	0.969070i	$-0.420626\pi$
$564$	1.46411	−	2.27821i	0.0616503	−	0.0959298i
$565$	−11.5068	−	4.35847i	−0.484094	−	0.183362i
$566$	4.10666	−	13.9860i	0.172616	−	0.587876i
$567$	0.865764	+	0.648103i	0.0363587	+	0.0272178i
$568$	2.97398	+	0.212703i	0.124786	+	0.00892484i
$569$	0.942475	+	2.06373i	0.0395106	+	0.0865161i	0.928358	−	0.371687i	$-0.121221\pi$
$569$	0.942475	+	2.06373i	0.0395106	+	0.0865161i	−0.888848	+	0.458203i	$0.848493\pi$
$570$	−4.44228	−	0.661735i	−0.186066	−	0.0277170i
$571$	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	$0.550403\pi$
$572$	−2.37978	−	3.17901i	−0.0995034	−	0.132921i
$573$	3.10906	+	0.676334i	0.129883	+	0.0282542i
$574$	1.13790			0.0474950
$575$	9.17746	−	22.1534i	0.382727	−	0.923862i
$576$	2.93060			0.122108
$577$	−42.2528	−	9.19154i	−1.75901	−	0.382649i	−0.786881	−	0.617105i	$-0.788305\pi$
$577$	−42.2528	−	9.19154i	−1.75901	−	0.382649i	−0.972127	+	0.234456i	$0.924669\pi$
$578$	2.71409	+	3.62559i	0.112891	+	0.150805i
$579$	2.93430	+	1.34005i	0.121946	+	0.0556907i
$580$	−7.40388	−	1.10291i	−0.307430	−	0.0457957i
$581$	0.0150621	+	0.0329813i	0.000624879	+	0.00136830i
$582$	−2.77949	−	0.198793i	−0.115214	−	0.00824025i
$583$	2.58042	+	1.93168i	0.106870	+	0.0800021i
$584$	0.0394147	−	0.134234i	0.00163099	−	0.00555465i
$585$	40.9932	+	15.5272i	1.69486	+	0.641969i
$586$	4.05227	−	6.30545i	0.167398	−	0.260476i
$587$	−5.80631	−	26.6912i	−0.239652	−	1.10166i	−0.926920	−	0.375259i	$-0.877554\pi$
$587$	−5.80631	−	26.6912i	−0.239652	−	1.10166i	0.687268	−	0.726404i	$-0.258810\pi$
$588$	−0.131246	−	1.83505i	−0.00541248	−	0.0756763i
$589$	47.2178	+	13.8644i	1.94558	+	0.571273i
$590$	12.0311	+	22.3017i	0.495312	+	0.918146i
$591$	−1.28962	−	1.48830i	−0.0530479	−	0.0612205i
$592$	−7.07628	−	2.63932i	−0.290833	−	0.108475i
$593$	−6.95856	+	12.7437i	−0.285754	+	0.523319i	−0.980645	−	0.195796i	$-0.937271\pi$
$593$	−6.95856	+	12.7437i	−0.285754	+	0.523319i	0.694891	+	0.719115i	$0.255453\pi$
$594$	0.385299	−	0.843688i	0.0158090	−	0.0346169i
$595$	−0.854480	−	0.555290i	−0.0350302	−	0.0227647i
$596$	8.37405	+	13.0303i	0.343014	+	0.533741i
$597$	1.08086	−	1.08086i	0.0442368	−	0.0442368i
$598$	−31.1630	−	7.61930i	−1.27435	−	0.311577i
$599$			9.35522i			0.382244i	0.981566	+	0.191122i	$0.0612126\pi$
$599$			9.35522i			0.382244i	−0.981566	+	0.191122i	$0.938787\pi$
$600$	0.383920	−	1.26004i	0.0156735	−	0.0514411i
$601$	−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	$0.0813566\pi$
$602$	−1.40979	+	0.525824i	−0.0574587	+	0.0214310i
$603$	14.5354	+	7.93694i	0.591928	+	0.323217i
$604$	−10.6626	+	4.86944i	−0.433855	+	0.198135i
$605$	6.59165	+	22.8781i	0.267989	+	0.930126i
$606$	0.466182	+	3.24236i	0.0189373	+	0.131712i
$607$	−13.4557	−	24.6423i	−0.546150	−	1.00020i	−0.994338	−	0.106260i	$-0.966112\pi$
$607$	−13.4557	−	24.6423i	−0.546150	−	1.00020i	0.448188	−	0.893939i	$-0.352069\pi$
$608$	−7.60475	+	0.543903i	−0.308413	+	0.0220582i
$609$	0.0957465	+	0.0615326i	0.00387985	+	0.00249343i
$610$	7.20403	+	1.60548i	0.291683	+	0.0650040i
$611$	45.0303	−	51.9678i	1.82173	−	2.10239i
$612$	9.08330	−	4.95986i	0.367170	−	0.200490i
$613$	−9.12009	+	12.1830i	−0.368357	+	0.492067i	−0.945975	−	0.324240i	$-0.894891\pi$
$613$	−9.12009	+	12.1830i	−0.368357	+	0.492067i	0.577618	+	0.816307i	$0.303982\pi$
$614$	−6.22626	+	5.39508i	−0.251271	+	0.217728i
$615$	3.65417	+	3.69146i	0.147350	+	0.148854i
$616$	−0.0735071	+	0.0215836i	−0.00296168	+	0.000869629i
$617$	−2.33237	−	6.25332i	−0.0938976	−	0.251749i	0.881507	−	0.472171i	$-0.156529\pi$
$617$	−2.33237	−	6.25332i	−0.0938976	−	0.251749i	−0.975405	+	0.220422i	$0.929257\pi$
$618$	0.886073	−	0.663306i	0.0356431	−	0.0266821i
$619$	36.9144	−	23.7234i	1.48371	−	0.953526i	0.486927	−	0.873443i	$-0.338118\pi$
$619$	36.9144	−	23.7234i	1.48371	−	0.953526i	0.996788	−	0.0800828i	$-0.0255185\pi$
$620$	−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
$623$	0.0521771	−	0.239854i	0.00209043	−	0.00960955i
$624$	−1.74435	−	0.250799i	−0.0698298	−	0.0100400i
$625$	20.7526	+	13.9402i	0.830104	+	0.557609i
$626$	4.95341	+	16.8698i	0.197978	+	0.674252i
$627$	−0.416691	+	1.11719i	−0.0166410	+	0.0446163i
$628$	0.398784	−	5.57573i	0.0159132	−	0.222496i
$629$	−26.3996	+	3.79569i	−1.05262	+	0.151344i
$630$	0.557036	−	0.636299i	0.0221929	−	0.0253508i
$631$	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	$0.404137\pi$
$632$	−3.44642	+	0.749723i	−0.137091	+	0.0298224i
$633$	−1.70951	+	0.371882i	−0.0679470	+	0.0147810i
$634$	10.0307	+	8.69166i	0.398370	+	0.345190i
$635$	−0.534984	−	8.05443i	−0.0212302	−	0.319630i
$636$	1.41590	−	0.203576i	0.0561441	−	0.00807231i
$637$	3.33254	−	46.5950i	0.132040	−	1.84616i
$638$	−0.694493	+	1.86201i	−0.0274952	+	0.0737176i
$639$	2.46172	+	8.38386i	0.0973843	+	0.331660i
$640$	0.170839	−	2.22953i	0.00675299	−	0.0881300i
$641$	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	$0.414949\pi$
$642$	−0.414320	+	1.90460i	−0.0163519	+	0.0751684i
$643$	20.4256	+	20.4256i	0.805508	+	0.805508i	0.983950	−	0.178442i	$-0.0571058\pi$
$643$	20.4256	+	20.4256i	0.805508	+	0.805508i	−0.178442	+	0.983950i	$0.557106\pi$
$644$	−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
$647$	−32.6822	+	24.4656i	−1.28487	+	0.961843i	−0.284877	+	0.958564i	$0.591953\pi$
$647$	−32.6822	+	24.4656i	−1.28487	+	0.961843i	−0.999995	+	0.00327851i	$0.998956\pi$
$648$	2.92857	+	7.85181i	0.115045	+	0.308448i
$649$	6.45486	−	1.89532i	0.253376	−	0.0743978i
$650$	14.2024	−	30.2816i	0.557064	−	1.18774i
$651$	0.165846	−	0.143706i	0.00650002	−	0.00563230i
$652$	11.2018	−	14.9638i	0.438695	−	0.586027i
$653$	11.6901	−	6.38328i	0.457469	−	0.249797i	−0.233953	−	0.972248i	$-0.575166\pi$
$653$	11.6901	−	6.38328i	0.457469	−	0.249797i	0.691422	+	0.722451i	$0.256984\pi$
$654$	1.79040	−	2.06623i	0.0700103	−	0.0807962i
$655$	11.2277	+	17.6671i	0.438702	+	0.690312i
$656$	7.41768	+	4.76706i	0.289612	+	0.186122i
$657$	0.408949	−	0.0292486i	0.0159546	−	0.00114110i
$658$	−0.635765	−	1.16432i	−0.0247847	−	0.0453898i
$659$	4.09222	+	28.4620i	0.159410	+	1.10872i	0.899723	+	0.436461i	$0.143768\pi$
$659$	4.09222	+	28.4620i	0.159410	+	1.10872i	−0.740313	+	0.672263i	$0.765323\pi$
$660$	−0.306075	−	0.169152i	−0.0119139	−	0.00658423i
$661$	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	$0.123449\pi$
$662$	−14.5605	−	7.95064i	−0.565910	−	0.309010i
$663$	−5.83102	+	2.17486i	−0.226458	+	0.0844645i
$664$	−0.0399843	+	0.278097i	−0.00155169	+	0.0107923i
$665$	−1.32739	+	1.75455i	−0.0514739	+	0.0680385i
$666$		−	22.1332i		−	0.857645i
$667$	5.22377	+	15.1812i	0.202265	+	0.587817i
$668$	−15.1016	+	15.1016i	−0.584297	+	0.584297i
$669$	−1.25050	−	1.94582i	−0.0483472	−	0.0752297i
$670$	6.88559	−	10.5955i	0.266013	−	0.409341i
$671$	0.813997	−	1.78240i	0.0314240	−	0.0688090i
$672$	−0.0162936	+	0.0298395i	−0.000628539	+	0.00115108i
$673$	4.02363	+	1.50074i	0.155099	+	0.0578491i	0.425815	−	0.904810i	$-0.359988\pi$
$673$	4.02363	+	1.50074i	0.155099	+	0.0578491i	−0.270715	+	0.962659i	$0.587260\pi$
$674$	−2.62559	−	3.03010i	−0.101134	−	0.116715i
$675$	7.79734	−	0.478167i	0.300120	−	0.0184047i
$676$	−30.4613	−	8.94424i	−1.17159	−	0.344009i
$677$	−1.57185	−	21.9773i	−0.0604111	−	0.844657i	−0.933837	−	0.357700i	$-0.883561\pi$
$677$	−1.57185	−	21.9773i	−0.0604111	−	0.844657i	0.873426	−	0.486957i	$-0.161893\pi$
$678$	0.308153	+	1.41656i	0.0118345	+	0.0544025i
$679$	−0.737992	+	1.14834i	−0.0283215	+	0.0440692i
$680$	−3.24384	−	7.19950i	−0.124396	−	0.276088i
$681$	−1.19054	+	4.05461i	−0.0456216	+	0.155373i
$682$	3.06746	+	2.29628i	0.117459	+	0.0879289i
$683$	20.7732	+	1.48573i	0.794864	+	0.0568498i	0.462864	−	0.886429i	$-0.346822\pi$
$683$	20.7732	+	1.48573i	0.794864	+	0.0568498i	0.332001	+	0.943279i	$0.392276\pi$
$684$	−9.28178	−	20.3243i	−0.354898	−	0.777117i
$685$	13.5645	−	10.0472i	0.518273	−	0.383885i
$686$	−1.64149	−	0.749645i	−0.0626726	−	0.0286216i
$687$	2.74380	+	3.66529i	0.104683	+	0.139840i
$688$	−11.3929	−	2.47838i	−0.434351	−	0.0944873i
$689$	36.3217			1.38375
$690$	−2.77771	+	0.515592i	−0.105746	+	0.0196282i
$691$	21.8423			0.830921			0.415461	−	0.909611i	$-0.363620\pi$
$691$	21.8423			0.830921			0.415461	+	0.909611i	$0.363620\pi$
$692$	8.36230	+	1.81911i	0.317887	+	0.0691520i
$693$	−0.134546	−	0.179733i	−0.00511099	−	0.00682748i
$694$	5.86701	+	2.67937i	0.222709	+	0.101708i
$695$	1.35982	−	9.12858i	0.0515810	−	0.346267i
$696$	0.366366	+	0.802231i	0.0138871	+	0.0304085i
$697$	31.0589	+	2.22137i	1.17644	+	0.0841405i
$698$	7.84343	+	5.87152i	0.296878	+	0.222240i
$699$	1.34606	−	4.58426i	0.0509127	−	0.173393i
$700$	−0.451610	−	0.460874i	−0.0170693	−	0.0174194i
$701$	−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	$0.274696\pi$
$702$	−2.22161	−	10.2126i	−0.0838491	−	0.385448i
$703$	4.10781	+	57.4347i	0.154929	+	2.16619i
$704$	−0.569595	−	0.167248i	−0.0214674	−	0.00630341i
$705$	1.73551	−	5.80149i	0.0653629	−	0.218497i
$706$	−6.02200	−	6.94976i	−0.226641	−	0.261558i
$707$	1.50346	+	0.560760i	0.0565433	+	0.0210895i
$708$	1.43079	−	2.62029i	0.0537723	−	0.0984766i
$709$	9.41009	−	20.6052i	0.353403	−	0.773846i	−0.646536	−	0.762883i	$-0.723783\pi$
$709$	9.41009	−	20.6052i	0.353403	−	0.773846i	0.999940	−	0.0109625i	$-0.00348954\pi$
$710$	6.52176	−	1.38409i	0.244757	−	0.0519439i
$711$	−5.58822	−	8.69544i	−0.209575	−	0.326104i
$712$	1.34496	−	1.34496i	0.0504045	−	0.0504045i
$713$	30.9228	−	1.41742i	1.15807	−	0.0530829i
$714$			0.120063i			0.00449323i
$715$	−7.08138	−	5.35735i	−0.264828	−	0.200354i
$716$	−1.17139	+	8.14717i	−0.0437767	+	0.304474i
$717$	2.57813	−	0.961591i	0.0962819	−	0.0359113i
$718$	−5.10524	−	2.78767i	−0.190526	−	0.104035i
$719$	27.9232	−	12.7521i	1.04136	−	0.475573i	0.180053	−	0.983657i	$-0.442373\pi$
$719$	27.9232	−	12.7521i	1.04136	−	0.475573i	0.861308	+	0.508084i	$0.169646\pi$
$720$	6.29686	−	1.81426i	0.234670	−	0.0676134i
$721$	−0.0771623	−	0.536676i	−0.00287368	−	0.0199869i
$722$	18.7521	+	34.3419i	0.697881	+	1.27807i
$723$	3.84584	−	0.275060i	0.143028	−	0.0102296i
$724$	4.42057	+	2.84093i	0.164289	+	0.105582i
$725$	−16.5912	+	2.21378i	−0.616182	+	0.0822179i
$726$	1.83693	−	2.11993i	0.0681750	−	0.0786781i
$727$	−12.5485	+	6.85200i	−0.465398	+	0.254126i	−0.694797	−	0.719206i	$-0.744506\pi$
$727$	−12.5485	+	6.85200i	−0.465398	+	0.254126i	0.229399	+	0.973332i	$0.426324\pi$
$728$	−0.517337	+	0.691082i	−0.0191738	+	0.0256132i
$729$	−17.6272	+	15.2740i	−0.652858	+	0.565705i
$730$	0.00158794	−	0.312824i	5.87721e−5	−	0.0115782i
$731$	−39.5065	+	11.6002i	−1.46120	+	0.429048i
$732$	−0.303887	−	0.814752i	−0.0112320	−	0.0301141i
$733$	−2.78584	+	2.08545i	−0.102897	+	0.0770280i	−0.649487	−	0.760372i	$-0.725016\pi$
$733$	−2.78584	+	2.08545i	−0.102897	+	0.0770280i	0.546590	+	0.837400i	$0.315926\pi$
$734$	−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
$738$	−5.49275	+	25.2498i	−0.202191	+	0.929456i
$739$	−3.55550	−	0.511203i	−0.130791	−	0.0188049i	0.0766084	−	0.997061i	$-0.475591\pi$
$739$	−3.55550	−	0.511203i	−0.130791	−	0.0188049i	−0.207399	+	0.978256i	$0.566500\pi$
$740$	−16.8385	−	1.29025i	−0.618995	−	0.0474307i
$741$	3.78535	+	12.8917i	0.139058	+	0.473590i
$742$	0.244877	−	0.656541i	0.00898972	−	0.0241024i
$743$	−0.735949	+	10.2899i	−0.0269993	+	0.377500i	0.965931	+	0.258800i	$0.0833271\pi$
$743$	−0.735949	+	10.2899i	−0.0269993	+	0.377500i	−0.992930	+	0.118700i	$0.962127\pi$
$744$	1.68314	−	0.242000i	0.0617071	−	0.00887213i
$745$	26.0597	+	22.8135i	0.954754	+	0.835821i
$746$	−19.5236	−	16.9173i	−0.714809	−	0.619386i
$747$	−0.804554	+	0.175020i	−0.0294371	+	0.00640365i
$748$	−2.04850	+	0.445624i	−0.0749006	+	0.0162936i
$749$	0.721590	+	0.625261i	0.0263663	+	0.0228465i
$750$	0.0448519	−	2.94508i	0.00163776	−	0.107539i
$751$	−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	$0.591861\pi$
$752$	0.733332	−	10.2533i	0.0267419	−	0.373900i
$753$	−2.10124	+	5.63364i	−0.0765734	+	0.205301i
$754$	6.30900	+	21.4865i	0.229760	+	0.782492i
$755$	−19.8958	+	17.0637i	−0.724081	+	0.621013i
$756$	−0.199577	−	0.0286949i	−0.00725855	−	0.00104362i
$757$	2.33881	−	10.7513i	0.0850055	−	0.390764i	−0.914911	−	0.403655i	$-0.867740\pi$
$757$	2.33881	−	10.7513i	0.0850055	−	0.390764i	0.999917	+	0.0128906i	$0.00410333\pi$
$758$	−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	$0.162493\pi$
$762$	−0.761346	+	0.569937i	−0.0275807	+	0.0206466i
$763$	−0.468030	−	1.25484i	−0.0169438	−	0.0454282i
$764$	11.5882	−	3.40261i	0.419248	−	0.123102i
$765$	16.4464	−	16.2803i	0.594621	−	0.588615i
$766$	2.68269	−	2.32456i	0.0969295	−	0.0839899i
$767$	45.4289	−	60.6859i	1.64034	−	2.19124i
$768$	−0.231222	+	0.126257i	−0.00834350	+	0.00455590i
$769$	−15.1649	+	17.5013i	−0.546862	+	0.631112i	−0.960149	−	0.279489i	$-0.909835\pi$
$769$	−15.1649	+	17.5013i	−0.546862	+	0.631112i	0.413287	+	0.910601i	$0.364381\pi$
$770$	−0.144580	+	0.0918822i	−0.00521030	+	0.00331121i
$771$	0.556671	+	0.357751i	0.0200480	+	0.0128841i
$772$	12.2134	−	0.873523i	0.439572	−	0.0314388i
$773$	−11.3789	−	20.8390i	−0.409272	−	0.749526i	0.589009	−	0.808126i	$-0.299518\pi$
$773$	−11.3789	−	20.8390i	−0.409272	−	0.749526i	−0.998282	+	0.0586001i	$0.981336\pi$
$774$	−4.86275	−	33.8211i	−0.174788	−	1.21568i
$775$	−4.91701	+	31.8964i	−0.176624	+	1.14575i
$776$	−9.62157	+	4.39403i	−0.345394	+	0.157736i
$777$	0.225362	+	0.123057i	0.00808481	+	0.00441464i
$778$	20.3763	−	7.59996i	0.730525	−	0.272472i
$779$	9.56720	−	66.5413i	0.342780	−	2.38409i
$780$	−3.90328	+	0.540998i	−0.139760	+	0.0193708i
$781$		−	1.76999i		−	0.0633353i
$782$	−10.4931	+	13.2939i	−0.375234	+	0.475390i
$783$	−3.69843	+	3.69843i	−0.132171	+	0.132171i
$784$	−3.77548	−	5.87476i	−0.134839	−	0.209813i
$785$	−2.59494	−	12.2272i	−0.0926173	−	0.436408i
$786$	1.02452	−	2.24339i	0.0365435	−	0.0800190i
$787$	−18.1169	+	33.1786i	−0.645796	+	1.18269i	0.325664	+	0.945486i	$0.394412\pi$
$787$	−18.1169	+	33.1786i	−0.645796	+	1.18269i	−0.971460	+	0.237202i	$0.923770\pi$
$788$	−7.00383	−	2.61229i	−0.249501	−	0.0930591i
$789$	3.84946	+	4.44251i	0.137044	+	0.158158i
$790$	−6.94106	+	3.74449i	−0.246952	+	0.133223i
$791$	0.681374	+	0.200069i	0.0242269	+	0.00711365i
$792$	−0.124111	−	1.73529i	−0.00441008	−	0.0616609i
$793$	−4.69344	−	21.5754i	−0.166669	−	0.766165i
$794$	−4.98045	+	7.74974i	−0.176750	+	0.275028i
$795$	2.91626	−	1.31396i	0.103429	−	0.0466015i
$796$	1.63467	−	5.56717i	0.0579393	−	0.197323i
$797$	23.3197	+	17.4569i	0.826026	+	0.618356i	0.926377	−	0.376597i	$-0.122906\pi$
$797$	23.3197	+	17.4569i	0.826026	+	0.618356i	−0.100351	+	0.994952i	$0.531997\pi$
$798$	0.258548	+	0.0184917i	0.00915249	+	0.000654599i
$799$	−15.0802	−	33.0210i	−0.533499	−	1.16820i
$800$	−1.01317	−	4.89627i	−0.0358210	−	0.173109i
$801$	5.07045	+	2.31560i	0.179155	+	0.0818176i
$802$	11.2823	+	15.0714i	0.398392	+	0.532189i
$803$	−0.0811532	−	0.0176538i	−0.00286384	−	0.000622989i
$804$	−1.48877			−0.0525050
$805$	−0.430432	+	1.31528i	−0.0151707	+	0.0463576i
$806$	43.1772			1.52085
$807$	−6.21240	−	1.35143i	−0.218687	−	0.0475724i
$808$	7.45143	+	9.95395i	0.262140	+	0.350179i
$809$	−31.6013	−	14.4318i	−1.11104	−	0.507396i	−0.226573	−	0.973994i	$-0.572752\pi$
$809$	−31.6013	−	14.4318i	−1.11104	−	0.507396i	−0.884470	+	0.466598i	$0.845480\pi$
$810$	11.1534	+	15.0579i	0.391889	+	0.529080i
$811$	−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	$-0.393582\pi$
$812$	0.430918	+	0.0308199i	0.0151223	+	0.00108157i
$813$	−1.18472	−	0.886867i	−0.0415498	−	0.0311038i
$814$	−1.26314	+	4.30185i	−0.0442729	+	0.150780i
$815$	14.8051	−	39.0868i	0.518599	−	1.36915i
$816$	−0.502984	+	0.782658i	−0.0176080	+	0.0273985i
$817$	18.8956	+	86.8617i	0.661074	+	3.03891i
$818$	1.37200	+	19.1830i	0.0479707	+	0.670718i
$819$	−2.42741	−	0.712753i	−0.0848207	−	0.0249056i
$820$	18.8893	+	5.65069i	0.659641	+	0.197331i
$821$	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	$0.699718\pi$
$822$	−1.86339	−	0.695007i	−0.0649931	−	0.0242412i
$823$	13.7301	−	25.1448i	0.478601	−	0.876492i	−0.521134	−	0.853475i	$-0.674491\pi$
$823$	13.7301	−	25.1448i	0.478601	−	0.876492i	0.999735	−	0.0230172i	$-0.00732723\pi$
$824$	1.74532	−	3.82171i	0.0608011	−	0.133136i
$825$	−0.762369	−	0.173967i	−0.0265423	−	0.00605677i
$826$	−0.790664	−	1.23030i	−0.0275107	−	0.0428075i
$827$	−26.4815	+	26.4815i	−0.920852	+	0.920852i	−0.997090	−	0.0762377i	$-0.975709\pi$
$827$	−26.4815	+	26.4815i	−0.920852	+	0.920852i	0.0762377	+	0.997090i	$0.475709\pi$
$828$	−9.68055	−	10.1892i	−0.336422	−	0.354100i
$829$		−	24.3473i		−	0.845617i	−0.906219	−	0.422809i	$-0.861044\pi$
$829$		−	24.3473i		−	0.845617i	0.906219	−	0.422809i	$-0.138956\pi$
$830$	0.0862500	+	0.622290i	0.00299378	+	0.0216000i
$831$	0.00385923	−	0.0268415i	0.000133875	−	0.000931123i
$832$	−6.26758	+	2.33768i	−0.217289	+	0.0810446i
$833$	−21.6447	−	11.8189i	−0.749944	−	0.409500i
$834$	−0.989107	+	0.451710i	−0.0342500	+	0.0156414i
$835$	−23.0992	+	41.7971i	−0.799379	+	1.44645i
$836$	0.644122	+	4.47996i	0.0222774	+	0.154943i
$837$	4.83308	+	8.85112i	0.167056	+	0.305940i
$838$	11.8304	−	0.846130i	0.408676	−	0.0292291i
$839$	45.1373	+	29.0080i	1.55831	+	1.00147i	0.983016	+	0.183520i	$0.0587492\pi$
$839$	45.1373	+	29.0080i	1.55831	+	1.00147i	0.575295	+	0.817946i	$0.304887\pi$
$840$	−0.0165366	+	0.0742019i	−0.000570566	+	0.00256021i
$841$	−11.6521	+	13.4472i	−0.401796	+	0.463697i
$842$	−20.8897	+	11.4066i	−0.719907	+	0.393099i
$843$	1.76688	−	2.36028i	0.0608546	−	0.0812922i
$844$	−5.01877	+	4.34879i	−0.172753	+	0.149691i
$845$	−70.9881	−	0.360344i	−2.44207	−	0.0123962i
$846$	28.9048	−	8.48723i	0.993769	−	0.291797i
$847$	−0.480194	−	1.28745i	−0.0164997	−	0.0442373i
$848$	4.34677	−	3.25395i	0.149269	−	0.111741i
$849$	−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
$853$	−0.114803	+	0.527741i	−0.00393078	+	0.0180695i	−0.979070	−	0.203521i	$-0.934761\pi$
$853$	−0.114803	+	0.527741i	−0.00393078	+	0.0180695i	0.975140	+	0.221591i	$0.0711250\pi$
$854$	−0.421634	−	0.0606218i	−0.0144280	−	0.00207443i
$855$	−32.5256	−	37.9238i	−1.11235	−	1.29697i
$856$	2.08443	+	7.09891i	0.0712443	+	0.242636i
$857$	0.171424	−	0.459605i	0.00585572	−	0.0156998i	−0.933989	−	0.357302i	$-0.883697\pi$
$857$	0.171424	−	0.459605i	0.00585572	−	0.0156998i	0.939845	+	0.341602i	$0.110969\pi$
$858$	−0.0746327	+	1.04350i	−0.00254792	+	0.0356246i
$859$	−33.8927	+	4.87303i	−1.15640	+	0.166266i	−0.693711	−	0.720253i	$-0.744025\pi$
$859$	−33.8927	+	4.87303i	−1.15640	+	0.166266i	−0.462692	+	0.886519i	$0.653116\pi$
$860$	−26.0138	+	1.72787i	−0.887065	+	0.0589199i
$861$	−0.226556	−	0.196312i	−0.00772100	−	0.00669029i
$862$	−31.5023	+	6.85290i	−1.07297	+	0.233411i
$863$	20.5523	−	4.47088i	0.699609	−	0.152191i	0.151327	−	0.988484i	$-0.451645\pi$
$863$	20.5523	−	4.47088i	0.699609	−	0.152191i	0.548283	+	0.836293i	$0.315282\pi$
$864$	−1.18078	−	1.02315i	−0.0401710	−	0.0348084i
$865$	19.0939	−	1.26824i	0.649212	−	0.0431214i
$866$	−6.52782	+	0.938559i	−0.221824	+	0.0318935i
$867$	0.0851171	−	1.19009i	0.00289073	−	0.0404177i
$868$	0.291096	−	0.780459i	0.00988045	−	0.0264905i
$869$	0.589889	+	2.00898i	0.0200106	+	0.0681499i
$870$	1.28384	+	1.49691i	0.0435262	+	0.0507501i
$871$	−37.4176	−	5.37984i	−1.26785	−	0.182289i
$872$	2.20598	−	10.1407i	0.0747038	−	0.343408i
$873$	−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
$877$	−10.9707	+	8.21259i	−0.370455	+	0.277319i	−0.768243	−	0.640158i	$-0.778869\pi$
$877$	−10.9707	+	8.21259i	−0.370455	+	0.277319i	0.397788	+	0.917477i	$0.369778\pi$
$878$	−14.0849	−	37.7629i	−0.475341	−	1.27444i
$879$	−1.89463	+	0.556314i	−0.0639043	+	0.0187640i
$880$	−1.32741	−	0.00673808i	−0.0447469	−	0.000227141i
$881$	−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	$0.283448\pi$
$882$	12.2644	−	16.3834i	0.412965	−	0.551657i
$883$	−13.4708	+	7.35560i	−0.453328	+	0.247536i	−0.689655	−	0.724138i	$-0.742238\pi$
$883$	−13.4708	+	7.35560i	−0.453328	+	0.247536i	0.236328	+	0.971673i	$0.424056\pi$
$884$	−15.4698	+	17.8531i	−0.520305	+	0.600464i
$885$	1.45212	−	6.51588i	0.0488126	−	0.219029i
$886$	−0.295956	−	0.190199i	−0.00994283	−	0.00638987i
$887$	−9.53096	+	0.681668i	−0.320018	+	0.0228882i	−0.230424	−	0.973090i	$-0.574011\pi$
$887$	−9.53096	+	0.681668i	−0.320018	+	0.0228882i	−0.0895939	+	0.995978i	$0.528557\pi$
$888$	0.953550	+	1.74630i	0.0319990	+	0.0586019i
$889$	0.0663007	+	0.461132i	0.00222365	+	0.0154659i
$890$	2.05724	−	3.72250i	0.0689587	−	0.124778i
$891$	4.52526	−	2.06662i	0.151602	−	0.0692343i
$892$	−7.70581	−	4.20769i	−0.258010	−	0.140884i
$893$	−73.4315	+	27.3885i	−2.45729	+	0.916522i
$894$	0.580724	−	4.03903i	0.0194223	−	0.135085i
$895$	2.52679	+	18.2307i	0.0844613	+	0.609384i
$896$			0.129051i			0.00431130i
$897$	4.89006	+	6.89328i	0.163274	+	0.230160i
$898$	6.06613	−	6.06613i	0.202429	−	0.202429i
$899$	−11.6821	−	18.1777i	−0.389619	−	0.606260i
$900$	12.4067	−	7.79645i	0.413555	−	0.259882i
$901$	7.96557	−	17.4422i	0.265372	−	0.581083i
$902$	2.50858	−	4.59411i	0.0835265	−	0.152967i
$903$	0.371405	+	0.138527i	0.0123596	+	0.00460988i
$904$	3.60355	+	4.15871i	0.119852	+	0.138317i
$905$	11.2570	+	3.36753i	0.374197	+	0.111940i
$906$	2.96300	+	0.870016i	0.0984392	+	0.0289044i
$907$	−1.30720	−	18.2770i	−0.0434049	−	0.606879i	−0.971879	−	0.235482i	$-0.924333\pi$
$907$	−1.30720	−	18.2770i	−0.0434049	−	0.606879i	0.928474	−	0.371398i	$-0.121121\pi$
$908$	3.40962	+	15.6738i	0.113152	+	0.520152i
$909$	−19.7005	+	30.6545i	−0.653423	+	1.01675i
$910$	−0.683752	+	1.80517i	−0.0226662	+	0.0598409i
$911$	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	$0.0696834\pi$
$912$	1.60794	+	1.20369i	0.0532442	+	0.0398581i
$913$	0.166363	+	0.0118985i	0.00550581	+	0.000393783i
$914$	−14.6745	−	32.1326i	−0.485388	−	1.06285i
$915$	−1.15734	−	1.56250i	−0.0382605	−	0.0516546i
$916$	15.8087	+	7.21961i	0.522336	+	0.238543i
$917$	−0.723996	−	0.967146i	−0.0239085	−	0.0319380i
$918$	−5.39142	−	1.17283i	−0.177943	−	0.0387092i
$919$	−49.6259			−1.63701			−0.818504	−	0.574501i	$-0.805196\pi$
$919$	−49.6259			−1.63701			−0.818504	+	0.574501i	$0.805196\pi$
$920$	−8.31605	+	6.77077i	−0.274172	+	0.223226i
$921$	2.17041			0.0715176
$922$	−31.0055	−	6.74484i	−1.02111	−	0.222129i
$923$	−11.9525	−	15.9666i	−0.393420	−	0.525548i
$924$	0.0183589	+	0.00838422i	0.000603963	+	0.000275821i
$925$	−36.9789	+	7.65195i	−1.21586	+	0.251595i
$926$	7.50710	+	16.4383i	0.246699	+	0.540195i
$927$	12.2812	+	0.878368i	0.403367	+	0.0288494i
$928$	2.67993	+	2.00617i	0.0879731	+	0.0658559i
$929$	−11.9925	+	40.8428i	−0.393462	+	1.34001i	0.490089	+	0.871673i	$0.336964\pi$
$929$	−11.9925	+	40.8428i	−0.393462	+	1.34001i	−0.883551	+	0.468336i	$0.844854\pi$
$930$	3.46669	−	1.56197i	0.113677	−	0.0512189i
$931$	−28.7849	+	44.7903i	−0.943389	+	1.46794i
$932$	−3.85502	−	17.7212i	−0.126275	−	0.580478i
$933$	−0.0464582	−	0.649570i	−0.00152097	−	0.0212660i
$934$	27.0550	+	7.94406i	0.885266	+	0.259937i
$935$	−4.12566	+	2.22567i	−0.134924	+	0.0727872i
$936$	−12.8377	−	14.8155i	−0.419614	−	0.484261i
$937$	1.56109	+	0.582257i	0.0509987	+	0.0190215i	0.374834	−	0.927092i	$-0.377700\pi$
$937$	1.56109	+	0.582257i	0.0509987	+	0.0190215i	−0.323835	+	0.946113i	$0.604972\pi$
$938$	−0.349510	+	0.640080i	−0.0114119	+	0.0208993i
$939$	1.92417	−	4.21334i	0.0627929	−	0.137497i
$940$	−4.77189	−	22.4849i	−0.155642	−	0.733377i
$941$	−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
$943$	−7.92831	−	41.5370i	−0.258181	−	1.35263i
$944$		−	11.3324i		−	0.368837i
$945$	−0.446588	+	0.0618976i	−0.0145275	+	0.00201353i
$946$	−0.985032	+	6.85105i	−0.0320261	+	0.222747i
$947$	42.7356	−	15.9396i	1.38872	−	0.517966i	0.459727	−	0.888060i	$-0.347947\pi$
$947$	42.7356	−	15.9396i	1.38872	−	0.517966i	0.928994	+	0.370094i	$0.120674\pi$
$948$	0.815525	+	0.445311i	0.0264870	+	0.0144630i
$949$	−0.851276	+	0.388765i	−0.0276336	+	0.0126198i
$950$	−30.7477	+	22.5340i	−0.997587	+	0.731100i
$951$	−0.497619	−	3.46102i	−0.0161364	−	0.112231i
$952$	0.218412	+	0.399991i	0.00707876	+	0.0129638i
$953$	19.9814	−	1.42910i	0.647262	−	0.0462931i	0.256152	−	0.966637i	$-0.417545\pi$
$953$	19.9814	−	1.42910i	0.647262	−	0.0462931i	0.391111	+	0.920344i	$0.372091\pi$
$954$	13.3865	+	8.60295i	0.433403	+	0.278531i
$955$	22.7927	−	14.4850i	0.737555	−	0.468725i
$956$	6.83980	−	7.89355i	0.221215	−	0.255296i
$957$	0.459509	−	0.250911i	0.0148538	−	0.00811080i
$958$	−0.592920	+	0.792048i	−0.0191564	+	0.0255899i
$959$	−0.736265	+	0.637977i	−0.0237752	+	0.0206014i
$960$	−0.418655	+	0.414426i	−0.0135120	+	0.0133756i
$961$	−10.2303	+	3.00390i	−0.330011	+	0.0968999i
$962$	17.6553	+	47.3357i	0.569229	+	1.52616i
$963$	−17.3576	+	12.9937i	−0.559341	+	0.418717i
$964$	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	$0.656463\pi$
$968$	2.26331	−	10.4043i	0.0727455	−	0.334406i
$969$	7.02094	+	1.00946i	0.225545	+	0.0324285i
$970$	−17.9533	+	15.3977i	−0.576445	+	0.494392i
$971$	−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	$0.953865\pi$
$972$	2.40953	−	6.46020i	0.0772857	−	0.207211i
$973$	−0.0379992	+	0.531299i	−0.00121820	+	0.0170327i
$974$	−4.10686	+	0.590477i	−0.131592	+	0.0189201i
$975$	−8.05191	+	3.57884i	−0.257867	+	0.114615i
$976$	−2.49456	−	2.16155i	−0.0798489	−	0.0691895i
$977$	25.1014	−	5.46047i	0.803064	−	0.174696i	0.207743	−	0.978184i	$-0.433388\pi$
$977$	25.1014	−	5.46047i	0.803064	−	0.174696i	0.595322	+	0.803488i	$0.297025\pi$
$978$	−4.81184	+	1.04675i	−0.153866	+	0.0334714i
$979$	−0.853350	−	0.739432i	−0.0272732	−	0.0236324i
$980$	−11.7491	−	10.2856i	−0.375313	−	0.328561i
$981$	30.1038	−	4.32827i	0.961140	−	0.138191i
$982$	−1.15294	+	16.1202i	−0.0367917	+	0.514415i
$983$	17.7143	−	47.4938i	0.564997	−	1.51482i	−0.269052	−	0.963126i	$-0.586710\pi$
$983$	17.7143	−	47.4938i	0.564997	−	1.51482i	0.834049	−	0.551691i	$-0.186017\pi$
$984$	−0.654443	−	2.22883i	−0.0208629	−	0.0710524i
$985$	−16.6661	−	1.27704i	−0.531025	−	0.0406900i
$986$	11.7017	+	1.68245i	0.372658	+	0.0535802i
$987$	−0.0742884	+	0.341498i	−0.00236463	+	0.0108700i
$988$	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	$0.515612\pi$
$992$	5.16720	−	3.86811i	0.164059	−	0.122813i
$993$	1.52734	+	4.09497i	0.0484688	+	0.129950i
$994$	−0.369191	+	0.108404i	−0.0117100	+	0.00343837i
$995$	0.0658574	−	12.9740i	0.00208782	−	0.411302i
$996$	0.0559385	−	0.0484710i	0.00177248	−	0.00153586i
$997$	1.99642	−	2.66691i	0.0632273	−	0.0844618i	−0.767813	−	0.640674i	$-0.778655\pi$
$997$	1.99642	−	2.66691i	0.0632273	−	0.0844618i	0.831040	+	0.556212i	$0.187746\pi$
$998$	22.7130	−	12.4022i	0.718967	−	0.392586i
$999$	−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.57.4	✓	240
5.3	odd	4	inner	230.2.l.a.103.3	yes	240
23.21	odd	22	inner	230.2.l.a.67.3	yes	240
115.113	even	44	inner	230.2.l.a.113.4	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.l.a.57.4	✓	240	1.1	even	1	trivial
230.2.l.a.67.3	yes	240	23.21	odd	22	inner
230.2.l.a.103.3	yes	240	5.3	odd	4	inner
230.2.l.a.113.4	yes	240	115.113	even	44	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+(-0.977147 - 0.212565i) q^{2} +(0.157878 + 0.210900i) q^{3} +(0.909632 + 0.415415i) q^{4} +(2.21166 + 0.329456i) q^{5} +(-0.109440 - 0.239640i) q^{6} +(-0.128723 - 0.00920642i) q^{7} +(-0.800541 - 0.599278i) q^{8} +(0.825644 - 2.81189i) q^{9} +(-2.09109 - 0.792050i) q^{10} +(-0.320947 + 0.499403i) q^{11} +(0.0559997 + 0.257426i) q^{12} +(0.477212 + 6.67230i) q^{13} +(0.123824 + 0.0363580i) q^{14} +(0.279690 + 0.518454i) q^{15} +(0.654861 + 0.755750i) q^{16} +(3.30878 + 1.23411i) q^{17} +(-1.40449 + 2.57212i) q^{18} +(3.16720 - 6.93520i) q^{19} +(1.87494 + 1.21844i) q^{20} +(-0.0183808 - 0.0286011i) q^{21} +(0.419768 - 0.419768i) q^{22} +(0.464439 - 4.77329i) q^{23} -0.263447i q^{24} +(4.78292 + 1.45729i) q^{25} +(0.951992 - 6.62125i) q^{26} +(1.46389 - 0.546002i) q^{27} +(-0.113266 - 0.0618477i) q^{28} +(-3.04513 + 1.39067i) q^{29} +(-0.163093 - 0.566058i) q^{30} +(0.918589 + 6.38893i) q^{31} +(-0.479249 - 0.877679i) q^{32} +(-0.155995 + 0.0111570i) q^{33} +(-2.97084 - 1.90924i) q^{34} +(-0.281658 - 0.0627700i) q^{35} +(1.91913 - 2.21480i) q^{36} +(-6.62864 + 3.61951i) q^{37} +(-4.56900 + 6.10347i) q^{38} +(-1.33185 + 1.15405i) q^{39} +(-1.57309 - 1.58914i) q^{40} +(8.46025 - 2.48415i) q^{41} +(0.0118811 + 0.0318546i) q^{42} +(-9.33381 + 6.98721i) 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} +(-0.0559997 + 0.257426i) q^{48} +(-6.91227 - 0.993834i) q^{49} +(-4.36384 - 2.44067i) q^{50} +(0.262109 + 0.892662i) q^{51} +(-2.33768 + 6.26758i) q^{52} +(0.387357 - 5.41595i) q^{53} +(-1.54649 + 0.222352i) q^{54} +(-0.874359 + 0.998775i) q^{55} +(0.0975305 + 0.0845107i) q^{56} +(1.96266 - 0.426952i) q^{57} +(3.27115 - 0.711595i) q^{58} +(-8.56443 - 7.42112i) q^{59} +(0.0390417 + 0.587790i) q^{60} +(-3.26718 + 0.469749i) q^{61} +(0.460468 - 6.43818i) q^{62} +(-0.132166 + 0.354352i) q^{63} +(0.281733 + 0.959493i) q^{64} +(-1.14280 + 14.9141i) q^{65} +(0.154801 + 0.0222571i) q^{66} +(-1.20124 + 5.52199i) 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} +(-2.34606 + 1.75624i) q^{72} +(0.0488904 + 0.131080i) q^{73} +(7.24654 - 2.12778i) q^{74} +(0.447773 + 1.23879i) q^{75} +(5.76197 - 4.99278i) q^{76} +(0.0459109 - 0.0613297i) q^{77} +(1.54672 - 0.844574i) q^{78} +(2.30971 - 2.66555i) q^{79} +(1.19935 + 1.88721i) q^{80} +(-7.04985 - 4.53067i) q^{81} +(-8.79495 + 0.629027i) q^{82} +(-0.134648 - 0.246590i) q^{83} +(-0.00483845 - 0.0336521i) q^{84} +(6.91133 + 3.81954i) q^{85} +(10.6057 - 4.84348i) q^{86} +(-0.774050 - 0.422663i) q^{87} +(0.556213 - 0.207457i) q^{88} +(-0.270692 + 1.88270i) q^{89} +(-3.95365 + 5.22595i) q^{90} -0.863268i q^{91} +(2.40537 - 4.14900i) q^{92} +(-1.20240 + 1.20240i) q^{93} +(5.55753 + 8.64768i) q^{94} +(9.28962 - 14.2949i) q^{95} +(0.109440 - 0.239640i) q^{96} +(5.06923 - 9.28359i) q^{97} +(6.54304 + 2.44043i) 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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