LMFDB - Embedded newform 624.2.ch.a.19.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [624,2,Mod(19,624)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(624, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 9, 0, 5]))

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

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

chi := DirichletCharacter("624.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 624 = 2^{4} \cdot 3 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	624.ch (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$4.98266508613$
Analytic rank:	$0$
Dimension:	$224$
Relative dimension:	$56$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			19.11
Character	$\chi$	$=$	624.19
Dual form			624.2.ch.a.427.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.11154 - 0.874348i) q^{2} +(0.258819 + 0.965926i) q^{3} +(0.471032 + 1.94374i) q^{4} -0.00444567i q^{5} +(0.556868 - 1.29996i) q^{6} +(0.544640 - 2.03262i) q^{7} +(1.17594 - 2.57239i) q^{8} +(-0.866025 + 0.500000i) q^{9} +O(q^{10})$	\(q+(-1.11154 - 0.874348i) q^{2} +(0.258819 + 0.965926i) q^{3} +(0.471032 + 1.94374i) q^{4} -0.00444567i q^{5} +(0.556868 - 1.29996i) q^{6} +(0.544640 - 2.03262i) q^{7} +(1.17594 - 2.57239i) q^{8} +(-0.866025 + 0.500000i) q^{9} +(-0.00388706 + 0.00494153i) q^{10} +(2.11274 + 1.21979i) q^{11} +(-1.75560 + 0.958059i) q^{12} +(2.15818 - 2.88830i) q^{13} +(-2.38261 + 1.78313i) q^{14} +(0.00429419 - 0.00115062i) q^{15} +(-3.55626 + 1.83113i) q^{16} +(-1.42836 + 0.824666i) q^{17} +(1.39979 + 0.201438i) q^{18} +(2.96979 - 1.71461i) q^{19} +(0.00864123 - 0.00209405i) q^{20} +2.10433 q^{21} +(-1.28187 - 3.20311i) q^{22} +(-6.95527 - 4.01562i) q^{23} +(2.78909 + 0.470084i) q^{24} +4.99998 q^{25} +(-4.92428 + 1.32345i) q^{26} +(-0.707107 - 0.707107i) q^{27} +(4.20744 + 0.101208i) q^{28} +(-1.01621 + 0.272293i) q^{29} +(-0.00577920 - 0.00247565i) q^{30} +(4.51098 + 4.51098i) q^{31} +(5.55396 + 1.07404i) q^{32} +(-0.631409 + 2.35645i) q^{33} +(2.30872 + 0.332239i) q^{34} +(-0.00903637 - 0.00242129i) q^{35} +(-1.37980 - 1.44781i) q^{36} +(0.723505 - 1.25315i) q^{37} +(-4.80019 - 0.690776i) q^{38} +(3.34846 + 1.33710i) q^{39} +(-0.0114360 - 0.00522782i) q^{40} +(11.7189 - 3.14007i) q^{41} +(-2.33904 - 1.83991i) q^{42} +(11.4442 + 3.06645i) q^{43} +(-1.37579 + 4.68117i) q^{44} +(0.00222283 + 0.00385006i) q^{45} +(4.21999 + 10.5448i) q^{46} +(-1.66420 + 1.66420i) q^{47} +(-2.68916 - 2.96115i) q^{48} +(2.22725 + 1.28591i) q^{49} +(-5.55767 - 4.37172i) q^{50} +(-1.16625 - 1.16625i) q^{51} +(6.63067 + 2.83447i) q^{52} +(6.37018 - 6.37018i) q^{53} +(0.167719 + 1.40423i) q^{54} +(0.00542278 - 0.00939252i) q^{55} +(-4.58823 - 3.79126i) q^{56} +(2.42482 + 2.42482i) q^{57} +(1.36764 + 0.585858i) q^{58} +(-8.62295 + 4.97846i) q^{59} +(0.00425922 + 0.00780481i) q^{60} +(2.36901 - 8.84128i) q^{61} +(-1.06996 - 8.95830i) q^{62} +(0.544640 + 2.03262i) q^{63} +(-5.23435 - 6.04992i) q^{64} +(-0.0128404 - 0.00959457i) q^{65} +(2.76219 - 2.06721i) q^{66} +(-12.8350 - 7.41027i) q^{67} +(-2.27574 - 2.38792i) q^{68} +(2.07864 - 7.75759i) q^{69} +(0.00792722 + 0.0105923i) q^{70} +(6.51684 + 1.74618i) q^{71} +(0.267804 + 2.81572i) q^{72} +(-4.07721 + 4.07721i) q^{73} +(-1.89989 + 0.760326i) q^{74} +(1.29409 + 4.82961i) q^{75} +(4.73162 + 4.96486i) q^{76} +(3.63005 - 3.63005i) q^{77} +(-2.55285 - 4.41395i) q^{78} +5.60400i q^{79} +(0.00814059 + 0.0158099i) q^{80} +(0.500000 - 0.866025i) q^{81} +(-15.7715 - 6.75609i) q^{82} -3.12572i q^{83} +(0.991205 + 4.09026i) q^{84} +(0.00366619 + 0.00635003i) q^{85} +(-10.0395 - 13.4147i) q^{86} +(-0.526029 - 0.911110i) q^{87} +(5.62221 - 4.00038i) q^{88} +(2.19104 + 8.17708i) q^{89} +(0.000895529 - 0.00622302i) q^{90} +(-4.69538 - 5.95985i) q^{91} +(4.52918 - 15.4107i) q^{92} +(-3.18975 + 5.52480i) q^{93} +(3.30490 - 0.394730i) q^{94} +(-0.00762258 - 0.0132027i) q^{95} +(0.400030 + 5.64269i) q^{96} +(4.02516 + 1.07854i) q^{97} +(-1.35135 - 3.37673i) q^{98} -2.43958 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 224 q+O(q^{10}) $ 224 * q	$ 224 q - 8 q^{10} - 32 q^{14} - 48 q^{16} - 12 q^{20} + 8 q^{22} + 12 q^{24} - 224 q^{25} - 16 q^{26} - 52 q^{28} + 40 q^{32} + 64 q^{34} - 40 q^{38} - 40 q^{40} - 16 q^{43} + 24 q^{44} + 16 q^{46} - 16 q^{50} - 16 q^{52} - 32 q^{55} - 20 q^{56} - 32 q^{58} + 96 q^{59} - 64 q^{60} - 24 q^{68} - 48 q^{70} + 64 q^{71} - 16 q^{73} + 96 q^{74} - 16 q^{75} + 76 q^{76} - 24 q^{78} + 100 q^{80} + 112 q^{81} + 48 q^{82} - 64 q^{86} - 60 q^{88} - 16 q^{89} + 40 q^{91} - 48 q^{92} + 64 q^{94} - 56 q^{98}+O(q^{100}) $ 224 * q - 8 * q^10 - 32 * q^14 - 48 * q^16 - 12 * q^20 + 8 * q^22 + 12 * q^24 - 224 * q^25 - 16 * q^26 - 52 * q^28 + 40 * q^32 + 64 * q^34 - 40 * q^38 - 40 * q^40 - 16 * q^43 + 24 * q^44 + 16 * q^46 - 16 * q^50 - 16 * q^52 - 32 * q^55 - 20 * q^56 - 32 * q^58 + 96 * q^59 - 64 * q^60 - 24 * q^68 - 48 * q^70 + 64 * q^71 - 16 * q^73 + 96 * q^74 - 16 * q^75 + 76 * q^76 - 24 * q^78 + 100 * q^80 + 112 * q^81 + 48 * q^82 - 64 * q^86 - 60 * q^88 - 16 * q^89 + 40 * q^91 - 48 * q^92 + 64 * q^94 - 56 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/624\mathbb{Z}\right)^\times$.

$n$	$79$	$145$	$209$	$469$
$\chi(n)$	$-1$	$e\left(\frac{5}{12}\right)$	$1$	$e\left(\frac{3}{4}\right)$

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 $

$2$	−1.11154	−	0.874348i	−0.785976	−	0.618257i
$2$	−1.11154	−	0.874348i	−0.785976	−	0.618257i
$3$	0.258819	+	0.965926i	0.149429	+	0.557678i
$3$	0.258819	+	0.965926i	0.149429	+	0.557678i
$4$	0.471032	+	1.94374i	0.235516	+	0.971870i
$5$		−	0.00444567i		−	0.00198816i	−1.00000		0.000994082i	$-0.999684\pi$
$5$		−	0.00444567i		−	0.00198816i	1.00000		0.000994082i	$-0.000316426\pi$
$6$	0.556868	−	1.29996i	0.227340	−	0.530707i
$7$	0.544640	−	2.03262i	0.205854	−	0.768259i	−0.783333	−	0.621602i	$-0.786482\pi$
$7$	0.544640	−	2.03262i	0.205854	−	0.768259i	0.989187	−	0.146657i	$-0.0468513\pi$
$8$	1.17594	−	2.57239i	0.415756	−	0.909476i
$9$	−0.866025	+	0.500000i	−0.288675	+	0.166667i
$10$	−0.00388706	+	0.00494153i	−0.00122920	+	0.00156265i
$11$	2.11274	+	1.21979i	0.637014	+	0.367780i	0.783463	−	0.621438i	$-0.213451\pi$
$11$	2.11274	+	1.21979i	0.637014	+	0.367780i	−0.146450	+	0.989218i	$0.546785\pi$
$12$	−1.75560	+	0.958059i	−0.506797	+	0.276568i
$13$	2.15818	−	2.88830i	0.598572	−	0.801069i
$13$	2.15818	−	2.88830i	0.598572	−	0.801069i
$14$	−2.38261	+	1.78313i	−0.636778	+	0.476562i
$15$	0.00429419	−	0.00115062i	0.00110875	−	0.000297090i
$16$	−3.55626	+	1.83113i	−0.889064	+	0.457782i
$17$	−1.42836	+	0.824666i	−0.346429	+	0.200011i	−0.663111	−	0.748521i	$-0.730764\pi$
$17$	−1.42836	+	0.824666i	−0.346429	+	0.200011i	0.316682	+	0.948532i	$0.397431\pi$
$18$	1.39979	+	0.201438i	0.329935	+	0.0474795i
$19$	2.96979	−	1.71461i	0.681316	−	0.393358i	−0.119035	−	0.992890i	$-0.537980\pi$
$19$	2.96979	−	1.71461i	0.681316	−	0.393358i	0.800351	+	0.599532i	$0.204647\pi$
$20$	0.00864123	−	0.00209405i	0.00193224	−	0.000468245i
$21$	2.10433			0.459202
$22$	−1.28187	−	3.20311i	−0.273295	−	0.682905i
$23$	−6.95527	−	4.01562i	−1.45027	−	0.837316i	−0.451777	−	0.892131i	$-0.649210\pi$
$23$	−6.95527	−	4.01562i	−1.45027	−	0.837316i	−0.998497	+	0.0548153i	$0.982543\pi$
$24$	2.78909	+	0.470084i	0.569321	+	0.0959554i
$25$	4.99998			0.999996
$26$	−4.92428	+	1.32345i	−0.965730	+	0.259549i
$27$	−0.707107	−	0.707107i	−0.136083	−	0.136083i
$28$	4.20744	+	0.101208i	0.795131	+	0.0191265i
$29$	−1.01621	+	0.272293i	−0.188706	+	0.0505635i	−0.351934	−	0.936025i	$-0.614476\pi$
$29$	−1.01621	+	0.272293i	−0.188706	+	0.0505635i	0.163229	+	0.986588i	$0.447809\pi$
$30$	−0.00577920	−	0.00247565i	−0.00105513	−	0.000451990i
$31$	4.51098	+	4.51098i	0.810196	+	0.810196i	0.984663	−	0.174467i	$-0.0558201\pi$
$31$	4.51098	+	4.51098i	0.810196	+	0.810196i	−0.174467	+	0.984663i	$0.555820\pi$
$32$	5.55396	+	1.07404i	0.981810	+	0.189865i
$33$	−0.631409	+	2.35645i	−0.109914	+	0.410205i
$34$	2.30872	+	0.332239i	0.395943	+	0.0569785i
$35$	−0.00903637	−	0.00242129i	−0.00152743	−	0.000409272i
$36$	−1.37980	−	1.44781i	−0.229966	−	0.241302i
$37$	0.723505	−	1.25315i	0.118944	−	0.206016i	−0.800406	−	0.599459i	$-0.795383\pi$
$37$	0.723505	−	1.25315i	0.118944	−	0.206016i	0.919349	+	0.393442i	$0.128716\pi$
$38$	−4.80019	−	0.690776i	−0.778694	−	0.112059i
$39$	3.34846	+	1.33710i	0.536182	+	0.214107i
$40$	−0.0114360	−	0.00522782i	−0.00180819	−	0.000826591i
$41$	11.7189	−	3.14007i	1.83019	−	0.490397i	0.832237	−	0.554420i	$-0.187060\pi$
$41$	11.7189	−	3.14007i	1.83019	−	0.490397i	0.997948	+	0.0640228i	$0.0203930\pi$
$42$	−2.33904	−	1.83991i	−0.360921	−	0.283905i
$43$	11.4442	+	3.06645i	1.74522	+	0.467630i	0.983595	−	0.180390i	$-0.0577360\pi$
$43$	11.4442	+	3.06645i	1.74522	+	0.467630i	0.761623	+	0.648020i	$0.224403\pi$
$44$	−1.37579	+	4.68117i	−0.207408	+	0.705713i
$45$	0.00222283	+	0.00385006i	0.000331361	+	0.000573933i
$46$	4.21999	+	10.5448i	0.622203	+	1.55475i
$47$	−1.66420	+	1.66420i	−0.242748	+	0.242748i	−0.817986	−	0.575238i	$-0.804909\pi$
$47$	−1.66420	+	1.66420i	−0.242748	+	0.242748i	0.575238	+	0.817986i	$0.304909\pi$
$48$	−2.68916	−	2.96115i	−0.388147	−	0.427405i
$49$	2.22725	+	1.28591i	0.318179	+	0.183701i
$50$	−5.55767	−	4.37172i	−0.785973	−	0.618255i
$51$	−1.16625	−	1.16625i	−0.163308	−	0.163308i
$52$	6.63067	+	2.83447i	0.919509	+	0.393070i
$53$	6.37018	−	6.37018i	0.875011	−	0.875011i	−0.118002	−	0.993013i	$-0.537649\pi$
$53$	6.37018	−	6.37018i	0.875011	−	0.875011i	0.993013	+	0.118002i	$0.0376489\pi$
$54$	0.167719	+	1.40423i	0.0228236	+	0.191092i
$55$	0.00542278	−	0.00939252i	0.000731207	−	0.00126649i
$56$	−4.58823	−	3.79126i	−0.613128	−	0.506628i
$57$	2.42482	+	2.42482i	0.321175	+	0.321175i
$58$	1.36764	+	0.585858i	0.179579	+	0.0769269i
$59$	−8.62295	+	4.97846i	−1.12261	+	0.648140i	−0.942066	−	0.335426i	$-0.891120\pi$
$59$	−8.62295	+	4.97846i	−1.12261	+	0.648140i	−0.180545	+	0.983567i	$0.557786\pi$
$60$	0.00425922	+	0.00780481i	0.000549862	+	0.00100760i
$61$	2.36901	−	8.84128i	0.303321	−	1.13201i	−0.631060	−	0.775734i	$-0.717380\pi$
$61$	2.36901	−	8.84128i	0.303321	−	1.13201i	0.934381	−	0.356276i	$-0.115954\pi$
$62$	−1.06996	−	8.95830i	−0.135885	−	1.13770i
$63$	0.544640	+	2.03262i	0.0686181	+	0.256086i
$64$	−5.23435	−	6.04992i	−0.654294	−	0.756240i
$65$	−0.0128404	−	0.00959457i	−0.00159266	−	0.00119006i
$66$	2.76219	−	2.06721i	0.340002	−	0.254456i
$67$	−12.8350	−	7.41027i	−1.56804	−	0.905308i	−0.996398	−	0.0848048i	$-0.972973\pi$
$67$	−12.8350	−	7.41027i	−1.56804	−	0.905308i	−0.571642	−	0.820503i	$-0.693693\pi$
$68$	−2.27574	−	2.38792i	−0.275974	−	0.289578i
$69$	2.07864	−	7.75759i	0.250239	−	0.933904i
$70$	0.00792722	+	0.0105923i	0.000947484	+	0.00126602i
$71$	6.51684	+	1.74618i	0.773406	+	0.207234i	0.623876	−	0.781523i	$-0.285557\pi$
$71$	6.51684	+	1.74618i	0.773406	+	0.207234i	0.149531	+	0.988757i	$0.452224\pi$
$72$	0.267804	+	2.81572i	0.0315610	+	0.331836i
$73$	−4.07721	+	4.07721i	−0.477202	+	0.477202i	−0.904236	−	0.427034i	$-0.859558\pi$
$73$	−4.07721	+	4.07721i	−0.477202	+	0.477202i	0.427034	+	0.904236i	$0.359558\pi$
$74$	−1.89989	+	0.760326i	−0.220858	+	0.0883861i
$75$	1.29409	+	4.82961i	0.149429	+	0.557675i
$76$	4.73162	+	4.96486i	0.542754	+	0.569509i
$77$	3.63005	−	3.63005i	0.413683	−	0.413683i
$78$	−2.55285	−	4.41395i	−0.289053	−	0.499782i
$79$			5.60400i			0.630499i	0.949009	+	0.315249i	$0.102088\pi$
$79$			5.60400i			0.630499i	−0.949009	+	0.315249i	$0.897912\pi$
$80$	0.00814059	+	0.0158099i	0.000910146	+	0.00176761i
$81$	0.500000	−	0.866025i	0.0555556	−	0.0962250i
$82$	−15.7715	−	6.75609i	−1.74167	−	0.746085i
$83$		−	3.12572i		−	0.343092i	−0.985176	−	0.171546i	$-0.945124\pi$
$83$		−	3.12572i		−	0.343092i	0.985176	−	0.171546i	$-0.0548762\pi$
$84$	0.991205	+	4.09026i	0.108149	+	0.446284i
$85$	0.00366619	+	0.00635003i	0.000397654	+	0.000688757i
$86$	−10.0395	−	13.4147i	−1.08258	−	1.44654i
$87$	−0.526029	−	0.911110i	−0.0563963	−	0.0976812i
$88$	5.62221	−	4.00038i	0.599329	−	0.426442i
$89$	2.19104	+	8.17708i	0.232250	+	0.866769i	0.979369	+	0.202079i	$0.0647697\pi$
$89$	2.19104	+	8.17708i	0.232250	+	0.866769i	−0.747119	+	0.664690i	$0.768564\pi$
$90$	0.000895529	−	0.00622302i	9.43970e−5	−	0.000655964i
$91$	−4.69538	−	5.95985i	−0.492210	−	0.624762i
$92$	4.52918	−	15.4107i	0.472200	−	1.60668i
$93$	−3.18975	+	5.52480i	−0.330761	+	0.572895i
$94$	3.30490	−	0.394730i	0.340874	−	0.0407133i
$95$	−0.00762258	−	0.0132027i	−0.000782060	−	0.00135457i
$96$	0.400030	+	5.64269i	0.0408279	+	0.575905i
$97$	4.02516	+	1.07854i	0.408694	+	0.109509i	0.457308	−	0.889309i	$-0.348814\pi$
$97$	4.02516	+	1.07854i	0.408694	+	0.109509i	−0.0486142	+	0.998818i	$0.515480\pi$
$98$	−1.35135	−	3.37673i	−0.136507	−	0.341101i
$99$	−2.43958			−0.245187
$100$	2.35515	+	9.71867i	0.235515	+	0.971867i
$101$	−3.88708	+	1.04154i	−0.386779	+	0.103637i	−0.446968	−	0.894550i	$-0.647496\pi$
$101$	−3.88708	+	1.04154i	−0.386779	+	0.103637i	0.0601892	+	0.998187i	$0.480830\pi$
$102$	0.276624	+	2.31605i	0.0273898	+	0.229323i
$103$		−	13.5240i		−	1.33256i	−0.745701	−	0.666281i	$-0.767885\pi$
$103$		−	13.5240i		−	1.33256i	0.745701	−	0.666281i	$-0.232115\pi$
$104$	−4.89193	−	8.94813i	−0.479693	−	0.877436i
$105$		−	0.00935514i		−	0.000912968i
$106$	−12.6504	+	1.51094i	−1.22872	+	0.146756i
$107$	−13.5491	+	3.63048i	−1.30985	+	0.350972i	−0.845164	−	0.534506i	$-0.820498\pi$
$107$	−13.5491	+	3.63048i	−1.30985	+	0.350972i	−0.464681	+	0.885478i	$0.653831\pi$
$108$	1.04136	−	1.70750i	0.100205	−	0.164304i
$109$	3.63241			0.347922			0.173961	−	0.984753i	$-0.444343\pi$
$109$	3.63241			0.347922			0.173961	+	0.984753i	$0.444343\pi$
$110$	−0.0142400	+	0.00569875i	−0.00135773	+	0.000543355i
$111$	1.39770	+	0.374514i	0.132664	+	0.0355473i
$112$	1.78512	+	8.22584i	0.168678	+	0.777268i
$113$	−0.820899	−	1.42184i	−0.0772237	−	0.133755i	0.824827	−	0.565385i	$-0.191272\pi$
$113$	−0.820899	−	1.42184i	−0.0772237	−	0.133755i	−0.902051	+	0.431629i	$0.857939\pi$
$114$	−0.575143	−	4.81542i	−0.0538671	−	0.451005i
$115$	−0.0178521	+	0.0309208i	−0.00166472	+	0.00288338i
$116$	−1.00793	−	1.84699i	−0.0935844	−	0.171489i
$117$	−0.424893	+	3.58043i	−0.0392814	+	0.331011i
$118$	13.9376	+	2.00571i	1.28306	+	0.184640i
$119$	0.898291	+	3.35247i	0.0823462	+	0.307320i
$120$	0.00208984	−	0.0123994i	0.000190775	−	0.00113190i
$121$	−2.52423	−	4.37210i	−0.229476	−	0.397464i
$122$	−10.3636	+	7.75607i	−0.938276	+	0.702202i
$123$	6.06615	+	10.5069i	0.546967	+	0.947374i
$124$	−6.64336	+	10.8930i	−0.596592	+	0.978220i
$125$		−	0.0444566i		−	0.00397632i
$126$	1.17183	−	2.73554i	0.104395	−	0.243701i
$127$	−10.9156	+	18.9064i	−0.968603	+	1.67767i	−0.268996	+	0.963141i	$0.586692\pi$
$127$	−10.9156	+	18.9064i	−0.968603	+	1.67767i	−0.699606	+	0.714528i	$0.746641\pi$
$128$	0.528443	+	11.3014i	0.0467082	+	0.998909i
$129$			11.8479i			1.04315i
$130$	0.00588361	+	0.0218917i	0.000516027	+	0.00192003i
$131$	−3.92826	+	3.92826i	−0.343213	+	0.343213i	−0.857574	−	0.514361i	$-0.828029\pi$
$131$	−3.92826	+	3.92826i	−0.343213	+	0.343213i	0.514361	+	0.857574i	$0.328029\pi$
$132$	−4.87774	−	0.117332i	−0.424553	−	0.0102124i
$133$	−1.86769	−	6.97030i	−0.161949	−	0.604402i
$134$	7.78739	+	19.4590i	0.672728	+	1.68100i
$135$	−0.00314356	+	0.00314356i	−0.000270555	+	0.000270555i
$136$	0.441697	+	4.64406i	0.0378752	+	0.398225i
$137$	2.24581	+	0.601764i	0.191873	+	0.0514122i	0.353476	−	0.935444i	$-0.385000\pi$
$137$	2.24581	+	0.601764i	0.191873	+	0.0514122i	−0.161603	+	0.986856i	$0.551666\pi$
$138$	−9.09332	+	6.80540i	−0.774075	+	0.579314i
$139$	−2.96852	+	11.0787i	−0.251786	+	0.939680i	0.718064	+	0.695977i	$0.245029\pi$
$139$	−2.96852	+	11.0787i	−0.251786	+	0.939680i	−0.969850	+	0.243702i	$0.921638\pi$
$140$	0.000449936	−	0.0187049i	3.80265e−5	−	0.00158085i
$141$	−2.03821	−	1.17676i	−0.171649	−	0.0991014i
$142$	−5.71694	−	7.63893i	−0.479755	−	0.641045i
$143$	8.08278	−	3.46968i	0.675916	−	0.290149i
$144$	2.16424	−	3.36393i	0.180354	−	0.280328i
$145$	0.00121052	+	0.00451774i	0.000100529	+	0.000375178i
$146$	8.09688	−	0.967074i	0.670102	−	0.0800356i
$147$	−0.665634	+	2.48418i	−0.0549006	+	0.204892i
$148$	2.77659	+	0.816034i	0.228234	+	0.0670776i
$149$	13.7337	−	7.92918i	1.12511	−	0.649584i	0.182411	−	0.983222i	$-0.441610\pi$
$149$	13.7337	−	7.92918i	1.12511	−	0.649584i	0.942701	+	0.333639i	$0.108277\pi$
$150$	2.78433	−	6.49978i	0.227339	−	0.530705i
$151$	0.957183	+	0.957183i	0.0778945	+	0.0778945i	0.744981	−	0.667086i	$-0.232459\pi$
$151$	0.957183	+	0.957183i	0.0778945	+	0.0778945i	−0.667086	+	0.744981i	$0.732459\pi$
$152$	−0.918356	−	9.65571i	−0.0744885	−	0.783181i
$153$	0.824666	−	1.42836i	0.0666703	−	0.115476i
$154$	−7.20886	+	0.861011i	−0.580907	+	0.0693823i
$155$	0.0200543	−	0.0200543i	0.00161080	−	0.00161080i
$156$	−1.02174	+	7.13835i	−0.0818048	+	0.571525i
$157$	−1.71418	−	1.71418i	−0.136807	−	0.136807i	0.635387	−	0.772194i	$-0.280841\pi$
$157$	−1.71418	−	1.71418i	−0.136807	−	0.136807i	−0.772194	+	0.635387i	$0.780841\pi$
$158$	4.89984	−	6.22905i	0.389810	−	0.495557i
$159$	7.80184	+	4.50440i	0.618726	+	0.357222i
$160$	0.00477481	−	0.0246911i	0.000377482	−	0.00195200i
$161$	−11.9504	+	11.9504i	−0.941821	+	0.941821i
$162$	−1.31298	+	0.525446i	−0.103157	+	0.0412829i
$163$	8.58383	+	14.8676i	0.672338	+	1.16452i	0.977239	+	0.212139i	$0.0680431\pi$
$163$	8.58383	+	14.8676i	0.672338	+	1.16452i	−0.304902	+	0.952384i	$0.598624\pi$
$164$	11.6235	+	21.2994i	0.907640	+	1.66321i
$165$	0.0104760	+	0.00280704i	0.000815555	+	0.000218527i
$166$	−2.73296	+	3.47435i	−0.212119	+	0.269662i
$167$	−8.82699	+	2.36518i	−0.683053	+	0.183023i	−0.583627	−	0.812022i	$-0.698367\pi$
$167$	−8.82699	+	2.36518i	−0.683053	+	0.183023i	−0.0994253	+	0.995045i	$0.531700\pi$
$168$	2.47455	−	5.41314i	0.190916	−	0.417633i
$169$	−3.68450	−	12.4669i	−0.283423	−	0.958995i
$170$	0.00147702	−	0.0102638i	0.000113283	−	0.000787199i
$171$	−1.71461	+	2.96979i	−0.131119	+	0.227105i
$172$	−0.569824	+	23.6889i	−0.0434487	+	1.80626i
$173$	4.61755	+	1.23727i	0.351066	+	0.0940677i	0.430042	−	0.902809i	$-0.358499\pi$
$173$	4.61755	+	1.23727i	0.351066	+	0.0940677i	−0.0789767	+	0.996876i	$0.525165\pi$
$174$	−0.211925	+	1.47267i	−0.0160660	+	0.111642i
$175$	2.72319	−	10.1631i	0.205854	−	0.768256i
$176$	−9.74702	−	0.469191i	−0.734709	−	0.0353666i
$177$	−7.04061	−	7.04061i	−0.529204	−	0.529204i
$178$	4.71419	−	11.0049i	0.353343	−	0.824850i
$179$	−23.6905	+	6.34785i	−1.77071	+	0.474460i	−0.988840	−	0.148981i	$-0.952401\pi$
$179$	−23.6905	+	6.34785i	−1.77071	+	0.474460i	−0.781870	+	0.623441i	$0.785734\pi$
$180$	−0.00643650	+	0.00613412i	−0.000479748	+	0.000457210i
$181$	−11.6466	−	11.6466i	−0.865686	−	0.865686i	0.126306	−	0.991991i	$-0.459688\pi$
$181$	−11.6466	−	11.6466i	−0.865686	−	0.865686i	−0.991991	+	0.126306i	$0.959688\pi$
$182$	0.00811301	+	10.7300i	0.000601377	+	0.795360i
$183$	9.15317			0.676622
$184$	−18.5087	+	13.1695i	−1.36448	+	0.970870i
$185$	−0.00557108	−	0.00321647i	−0.000409594	−	0.000236479i
$186$	8.37612	−	3.35208i	0.614167	−	0.245786i
$187$	−4.02367			−0.294240
$188$	−4.01865	−	2.45087i	−0.293090	−	0.178748i
$189$	−1.82240	+	1.05216i	−0.132560	+	0.0765336i
$190$	−0.00307096	+	0.0213401i	−0.000222791	+	0.00154817i
$191$	3.96824	−	2.29107i	0.287132	−	0.165776i	−0.349516	−	0.936930i	$-0.613654\pi$
$191$	3.96824	−	2.29107i	0.287132	−	0.165776i	0.636648	+	0.771155i	$0.280321\pi$
$192$	4.48903	−	6.62183i	0.323968	−	0.477889i
$193$	−13.7144	+	3.67475i	−0.987182	+	0.264515i	−0.716066	−	0.698032i	$-0.754059\pi$
$193$	−13.7144	+	3.67475i	−0.987182	+	0.264515i	−0.271116	+	0.962547i	$0.587393\pi$
$194$	−3.53110	−	4.71823i	−0.253518	−	0.338749i
$195$	0.00594430	−	0.0148861i	0.000425680	−	0.00106602i
$196$	−1.45036	+	4.93491i	−0.103597	+	0.352493i
$197$	−19.2752	−	11.1285i	−1.37330	−	0.792876i	−0.381959	−	0.924179i	$-0.624750\pi$
$197$	−19.2752	−	11.1285i	−1.37330	−	0.792876i	−0.991342	+	0.131304i	$0.958084\pi$
$198$	2.71168	+	2.13304i	0.192711	+	0.151588i
$199$	−7.26865	+	4.19656i	−0.515261	+	0.297486i	−0.734994	−	0.678074i	$-0.762815\pi$
$199$	−7.26865	+	4.19656i	−0.515261	+	0.297486i	0.219733	+	0.975560i	$0.429482\pi$
$200$	5.87965	−	12.8619i	0.415754	−	0.909473i
$201$	3.83584	−	14.3155i	0.270559	−	1.00974i
$202$	5.23130	+	2.24095i	0.368073	+	0.157673i
$203$			2.21387i			0.155384i
$204$	1.71755	−	2.81624i	0.120253	−	0.197176i
$205$	−0.0139597	−	0.0520984i	−0.000974989	−	0.00363871i
$206$	−11.8247	+	15.0325i	−0.823866	+	1.04736i
$207$	8.03125			0.558210
$208$	−2.38621	+	14.2234i	−0.165454	+	0.986218i
$209$	8.36583			0.578677
$210$	−0.00817964	+	0.0103986i	−0.000564449	+	0.000717571i
$211$	−3.92721	−	14.6565i	−0.270360	−	1.00900i	−0.958887	−	0.283788i	$-0.908409\pi$
$211$	−3.92721	−	14.6565i	−0.270360	−	1.00900i	0.688527	−	0.725211i	$-0.258258\pi$
$212$	15.3825	+	9.38142i	1.05648	+	0.644318i
$213$			6.74673i			0.462278i
$214$	18.2347	+	7.81124i	1.24650	+	0.533966i
$215$	0.0136324	−	0.0508770i	0.000929725	−	0.00346978i
$216$	−2.65046	+	0.987441i	−0.180341	+	0.0671868i
$217$	11.6260	−	6.71227i	0.789224	−	0.455658i
$218$	−4.03756	−	3.17599i	−0.273458	−	0.215105i
$219$	−4.99354	−	2.88302i	−0.337432	−	0.194817i
$220$	0.0208109	+	0.00611629i	0.00140307	+	0.000412360i
$221$	−0.700790	+	5.90531i	−0.0471402	+	0.397234i
$222$	−1.22615	−	1.63837i	−0.0822936	−	0.109960i
$223$	−5.25664	+	1.40851i	−0.352011	+	0.0943210i	−0.430491	−	0.902595i	$-0.641660\pi$
$223$	−5.25664	+	1.40851i	−0.352011	+	0.0943210i	0.0784808	+	0.996916i	$0.474993\pi$
$224$	5.20802	−	10.7041i	0.347975	−	0.715200i
$225$	−4.33011	+	2.49999i	−0.288674	+	0.166666i
$226$	−0.330721	+	2.29818i	−0.0219993	+	0.152873i
$227$	16.3245	−	9.42497i	1.08350	−	0.625557i	0.151659	−	0.988433i	$-0.451538\pi$
$227$	16.3245	−	9.42497i	1.08350	−	0.625557i	0.931838	+	0.362876i	$0.118205\pi$
$228$	−3.57105	+	5.85539i	−0.236499	+	0.387783i
$229$	−12.8419			−0.848614			−0.424307	−	0.905518i	$-0.639482\pi$
$229$	−12.8419			−0.848614			−0.424307	+	0.905518i	$0.639482\pi$
$230$	0.0468789	−	0.0187607i	0.00309110	−	0.00123704i
$231$	4.44588	+	2.56683i	0.292518	+	0.168885i
$232$	−0.494556	+	2.93429i	−0.0324692	+	0.192645i
$233$	4.24758			0.278268			0.139134	−	0.990274i	$-0.455568\pi$
$233$	4.24758			0.278268			0.139134	+	0.990274i	$0.455568\pi$
$234$	3.60282	−	3.60828i	0.235524	−	0.235880i
$235$	0.00739846	+	0.00739846i	0.000482622	+	0.000482622i
$236$	−13.7385	−	14.4158i	−0.894302	−	0.938386i
$237$	−5.41304	+	1.45042i	−0.351615	+	0.0942150i
$238$	1.93274	−	4.51181i	0.125281	−	0.292458i
$239$	6.54323	+	6.54323i	0.423246	+	0.423246i	0.886320	−	0.463074i	$-0.153253\pi$
$239$	6.54323	+	6.54323i	0.423246	+	0.423246i	−0.463074	+	0.886320i	$0.653253\pi$
$240$	−0.0131643	+	0.0119551i	−0.000849752	+	0.000771700i
$241$	−2.52250	+	9.41410i	−0.162489	+	0.606415i	0.835859	+	0.548945i	$0.184970\pi$
$241$	−2.52250	+	9.41410i	−0.162489	+	0.606415i	−0.998347	+	0.0574707i	$0.981696\pi$
$242$	−1.01696	+	7.06681i	−0.0653723	+	0.454272i
$243$	0.965926	+	0.258819i	0.0619642	+	0.0166032i
$244$	18.3010	+	0.440222i	1.17160	+	0.0281823i
$245$	0.00571671	−	0.00990164i	0.000365227	−	0.000632592i
$246$	2.44391	−	16.9827i	0.155818	−	1.08278i
$247$	1.45705	−	12.2781i	0.0927099	−	0.781234i
$248$	16.9086	−	6.29937i	1.07370	−	0.400010i
$249$	3.01921	−	0.808995i	0.191335	−	0.0512680i
$250$	−0.0388705	+	0.0494152i	−0.00245839	+	0.00312529i
$251$	−25.4645	−	6.82318i	−1.60730	−	0.430675i	−0.660065	−	0.751209i	$-0.729471\pi$
$251$	−25.4645	−	6.82318i	−1.60730	−	0.430675i	−0.947237	+	0.320533i	$0.896138\pi$
$252$	−3.69435	+	2.01607i	−0.232722	+	0.127000i
$253$	−9.79643	−	16.9679i	−0.615896	−	1.06676i
$254$	28.6638	−	11.4711i	1.79853	−	0.719762i
$255$	−0.00518478	+	0.00518478i	−0.000324683	+	0.000324683i
$256$	9.29393	−	13.0239i	0.580871	−	0.813996i
$257$	13.6194	+	7.86317i	0.849556	+	0.490491i	0.860501	−	0.509449i	$-0.170151\pi$
$257$	13.6194	+	7.86317i	0.849556	+	0.490491i	−0.0109454	+	0.999940i	$0.503484\pi$
$258$	10.3592	−	13.1694i	0.644933	−	0.819888i
$259$	−2.15313	−	2.15313i	−0.133789	−	0.133789i
$260$	0.0126011	−	0.0294778i	0.000781487	−	0.00182813i
$261$	0.743918	−	0.743918i	0.0460474	−	0.0460474i
$262$	7.80107	−	0.931743i	0.481952	−	0.0575633i
$263$	0.156615	−	0.271265i	0.00965729	−	0.0167269i	−0.861156	−	0.508340i	$-0.830259\pi$
$263$	0.156615	−	0.271265i	0.00965729	−	0.0167269i	0.870814	+	0.491613i	$0.163593\pi$
$264$	5.31921	+	4.39526i	0.327375	+	0.270510i
$265$	−0.0283197	−	0.0283197i	−0.00173967	−	0.00173967i
$266$	−4.01846	+	9.38076i	−0.246388	+	0.575171i
$267$	−7.33137	+	4.23277i	−0.448673	+	0.259041i
$268$	8.35796	−	28.4383i	0.510544	−	1.73715i
$269$	−4.43453	+	16.5499i	−0.270378	+	1.00906i	0.688498	+	0.725239i	$0.258271\pi$
$269$	−4.43453	+	16.5499i	−0.270378	+	1.00906i	−0.958876	+	0.283826i	$0.908396\pi$
$270$	0.00624276		0.000745622i	0.000379922		4.53771e-5i
$271$	2.01822	+	7.53212i	0.122598	+	0.457544i	0.999743	−	0.0226834i	$-0.00722097\pi$
$271$	2.01822	+	7.53212i	0.122598	+	0.457544i	−0.877144	+	0.480227i	$0.840554\pi$
$272$	3.56956	−	5.54824i	0.216436	−	0.336411i
$273$	4.54152	−	6.07791i	0.274865	−	0.367852i
$274$	−1.97016	−	2.63251i	−0.119021	−	0.159035i
$275$	10.5636	+	6.09892i	0.637011	+	0.367779i
$276$	16.0579	+	0.386263i	0.966569	+	0.0232503i
$277$	6.03672	−	22.5293i	0.362711	−	1.35366i	−0.507786	−	0.861483i	$-0.669536\pi$
$277$	6.03672	−	22.5293i	0.362711	−	1.35366i	0.870497	−	0.492174i	$-0.163797\pi$
$278$	12.9862	−	9.71883i	0.778862	−	0.582897i
$279$	−6.16212	−	1.65113i	−0.368916	−	0.0988508i
$280$	−0.0168547	+	0.0203978i	−0.00100726	+	0.00121900i
$281$	−2.09932	+	2.09932i	−0.125235	+	0.125235i	−0.766946	−	0.641711i	$-0.778225\pi$
$281$	−2.09932	+	2.09932i	−0.125235	+	0.125235i	0.641711	+	0.766946i	$0.278225\pi$
$282$	1.23665	+	3.09013i	0.0736415	+	0.184014i
$283$	−2.94922	−	11.0066i	−0.175313	−	0.654276i	−0.996498	−	0.0836145i	$-0.973354\pi$
$283$	−2.94922	−	11.0066i	−0.175313	−	0.654276i	0.821185	−	0.570661i	$-0.193313\pi$
$284$	−0.324484	+	13.4896i	−0.0192546	+	0.800458i
$285$	0.0107800	−	0.0107800i	0.000638549	−	0.000638549i
$286$	−12.0180	−	3.21048i	−0.710640	−	0.189840i
$287$		−	25.5303i		−	1.50701i
$288$	−5.34689	+	1.84684i	−0.315068	+	0.108826i
$289$	−7.13985	+	12.3666i	−0.419991	+	0.727446i
$290$	0.00260453	−	0.00608005i	0.000152943	−	0.000357033i
$291$			4.16716i			0.244283i
$292$	−9.84554	−	6.00455i	−0.576167	−	0.351389i
$293$	5.92280	+	10.2586i	0.346014	+	0.599313i	0.985537	−	0.169458i	$-0.0542017\pi$
$293$	5.92280	+	10.2586i	0.346014	+	0.599313i	−0.639524	+	0.768771i	$0.720868\pi$
$294$	2.91191	−	2.17926i	0.169826	−	0.127097i
$295$	0.0221326	+	0.0383348i	0.00128861	+	0.00223194i
$296$	−2.37279	−	3.33476i	−0.137915	−	0.193829i
$297$	−0.631409	−	2.35645i	−0.0366381	−	0.136735i
$298$	−22.1984	−	3.19448i	−1.28592	−	0.185051i
$299$	−26.6090	+	11.4224i	−1.53884	+	0.660575i
$300$	−8.77795	+	4.79028i	−0.506795	+	0.276567i
$301$	12.4659	−	21.5916i	0.718522	−	1.24452i
$302$	−0.227034	−	1.90086i	−0.0130644	−	0.109382i
$303$	−2.01210	−	3.48506i	−0.115592	−	0.200212i
$304$	−7.42166	+	11.5356i	−0.425661	+	0.661615i
$305$	−0.0393054	−	0.0105319i	−0.00225062	−	0.000603052i
$306$	−2.16553	+	0.866635i	−0.123795	+	0.0495422i
$307$	11.9838			0.683951			0.341975	−	0.939709i	$-0.388904\pi$
$307$	11.9838			0.683951			0.341975	+	0.939709i	$0.388904\pi$
$308$	8.76575	+	5.34601i	0.499475	+	0.304617i
$309$	13.0632	−	3.50028i	0.743140	−	0.199124i
$310$	−0.0398256	+	0.00475669i	−0.00226194	+	0.000270162i
$311$			3.33971i			0.189377i	0.995507	+	0.0946887i	$0.0301856\pi$
$311$			3.33971i			0.189377i	−0.995507	+	0.0946887i	$0.969814\pi$
$312$	7.37710	−	7.04119i	0.417646	−	0.398629i
$313$			4.54783i			0.257058i	0.991706	+	0.128529i	$0.0410256\pi$
$313$			4.54783i			0.257058i	−0.991706	+	0.128529i	$0.958974\pi$
$314$	0.406587	+	3.40417i	0.0229450	+	0.192108i
$315$	0.00903637	−	0.00242129i	0.000509142	−	0.000136424i
$316$	−10.8927	+	2.63966i	−0.612763	+	0.148493i
$317$	35.0463			1.96839			0.984197	−	0.177076i	$-0.0566639\pi$
$317$	35.0463			1.96839			0.984197	+	0.177076i	$0.0566639\pi$
$318$	−4.73363	−	11.8283i	−0.265449	−	0.663300i
$319$	−2.47912	−	0.664279i	−0.138804	−	0.0371925i
$320$	−0.0268960	+	0.0232702i	−0.00150353	+	0.00130084i
$321$	−7.01355	−	12.1478i	−0.391458	−	0.678026i
$322$	23.7321	−	2.83451i	1.32254	−	0.157961i
$323$	−2.82796	+	4.89816i	−0.157352	+	0.272541i
$324$	1.91885	+	0.563945i	0.106603	+	0.0313303i
$325$	10.7909	−	14.4414i	0.598570	−	0.801066i
$326$	3.45823	−	24.0312i	0.191534	−	1.33096i
$327$	0.940137	+	3.50864i	0.0519897	+	0.194028i
$328$	5.70320	−	33.8381i	0.314906	−	1.86840i
$329$	2.47629	+	4.28907i	0.136523	+	0.236464i
$330$	−0.00919014	−	0.0122798i	−0.000505901	−	0.000675980i
$331$	−1.69631	−	2.93809i	−0.0932374	−	0.161492i	0.815634	−	0.578568i	$-0.196388\pi$
$331$	−1.69631	−	2.93809i	−0.0932374	−	0.161492i	−0.908872	+	0.417076i	$0.863055\pi$
$332$	6.07559	−	1.47231i	0.333441	−	0.0808037i
$333$			1.44701i			0.0792957i
$334$	11.8795	+	5.08886i	0.650018	+	0.278450i
$335$	−0.0329436	+	0.0570600i	−0.00179990	+	0.00311752i
$336$	−7.48353	+	3.85329i	−0.408260	+	0.210214i
$337$			22.8223i			1.24321i	0.783330	+	0.621606i	$0.213519\pi$
$337$			22.8223i			1.24321i	−0.783330	+	0.621606i	$0.786481\pi$
$338$	−6.80498	+	17.0790i	−0.370142	+	0.928975i
$339$	1.16093	−	1.16093i	0.0630529	−	0.0630529i
$340$	−0.0106159	+	0.0101172i	−0.000575729	+	0.000548682i
$341$	4.02807	+	15.0330i	0.218132	+	0.814080i
$342$	4.50248	−	1.80187i	0.243466	−	0.0974338i
$343$	14.2427	−	14.2427i	0.769033	−	0.769033i
$344$	21.3457	−	25.8329i	1.15088	−	1.39281i
$345$	−0.0344877	−	0.00924095i	−0.00185675	−	0.000497516i
$346$	−4.05078	−	5.41261i	−0.217771	−	0.290984i
$347$	4.85812	−	18.1308i	0.260798	−	0.973310i	−0.703975	−	0.710225i	$-0.748593\pi$
$347$	4.85812	−	18.1308i	0.260798	−	0.973310i	0.964773	−	0.263085i	$-0.0847400\pi$
$348$	1.52318	−	1.45163i	0.0816512	−	0.0778154i
$349$	−22.3671	−	12.9136i	−1.19728	−	0.691252i	−0.237335	−	0.971428i	$-0.576274\pi$
$349$	−22.3671	−	12.9136i	−1.19728	−	0.691252i	−0.959949	+	0.280176i	$0.909607\pi$
$350$	−11.9130	+	8.91563i	−0.636776	+	0.476560i
$351$	−3.56840	+	0.516268i	−0.190467	+	0.0275563i
$352$	10.4239	+	9.04381i	0.555598	+	0.482037i
$353$	1.15264	+	4.30170i	0.0613486	+	0.228956i	0.989792	−	0.142517i	$-0.0455195\pi$
$353$	1.15264	+	4.30170i	0.0613486	+	0.228956i	−0.928444	+	0.371473i	$0.878853\pi$
$354$	1.66996	+	13.9818i	0.0887574	+	0.743126i
$355$	0.00776295	−	0.0289717i	0.000412014	−	0.00153766i
$356$	−14.8621	+	8.11049i	−0.787688	+	0.429855i
$357$	−3.00574	+	1.73537i	−0.159081	+	0.0918453i
$358$	31.8831	+	13.6579i	1.68507	+	0.721840i
$359$	−5.98716	−	5.98716i	−0.315990	−	0.315990i	0.531235	−	0.847225i	$-0.321728\pi$
$359$	−5.98716	−	5.98716i	−0.315990	−	0.315990i	−0.847225	+	0.531235i	$0.821728\pi$
$360$	0.0125178	−	0.00119057i	0.000659744	−	6.27484e-5i
$361$	−3.62025	+	6.27045i	−0.190539	+	0.330024i
$362$	2.76246	+	23.1288i	0.145192	+	1.21562i
$363$	3.56980	−	3.56980i	0.187366	−	0.187366i
$364$	9.37273	−	11.9339i	0.491265	−	0.625506i
$365$	0.0181259	+	0.0181259i	0.000948755	+	0.000948755i
$366$	−10.1741	−	8.00305i	−0.531808	−	0.418326i
$367$	11.3625	+	6.56016i	0.593120	+	0.342438i	0.766330	−	0.642447i	$-0.222081\pi$
$367$	11.3625	+	6.56016i	0.593120	+	0.342438i	−0.173210	+	0.984885i	$0.555414\pi$
$368$	32.0878	+	1.54461i	1.67269	+	0.0805182i
$369$	−8.57884	+	8.57884i	−0.446596	+	0.446596i
$370$	0.00338016	+	0.00844628i	0.000175726	+	0.000439101i
$371$	−9.47872	−	16.4176i	−0.492111	−	0.852361i
$372$	−12.2413	−	3.59768i	−0.634680	−	0.186531i
$373$	−29.1437	−	7.80902i	−1.50900	−	0.404336i	−0.592898	−	0.805277i	$-0.702016\pi$
$373$	−29.1437	−	7.80902i	−1.50900	−	0.404336i	−0.916104	+	0.400942i	$0.868683\pi$
$374$	4.47246	+	3.51809i	0.231265	+	0.181916i
$375$	0.0429418	−	0.0115062i	0.00221750	−	0.000594178i
$376$	2.32397	+	6.23794i	0.119850	+	0.321697i
$377$	−1.40671	+	3.52277i	−0.0724490	+	0.181432i
$378$	2.94562	+	0.423892i	0.151506	+	0.0218027i
$379$	2.53490	−	4.39057i	0.130209	−	0.225528i	−0.793548	−	0.608507i	$-0.791769\pi$
$379$	2.53490	−	4.39057i	0.130209	−	0.225528i	0.923757	+	0.382979i	$0.125102\pi$
$380$	0.0220721	−	0.0210352i	0.00113228	−	0.00107908i
$381$	−21.0873	−	5.65033i	−1.08034	−	0.289475i
$382$	−6.41404	−	0.923017i	−0.328171	−	0.0472257i
$383$	1.24571	−	4.64905i	0.0636528	−	0.237555i	−0.926769	−	0.375633i	$-0.877425\pi$
$383$	1.24571	−	4.64905i	0.0636528	−	0.237555i	0.990421	+	0.138077i	$0.0440922\pi$
$384$	−10.7795	+	3.43544i	−0.550089	+	0.175314i
$385$	−0.0161380	−	0.0161380i	−0.000822469	−	0.000822469i
$386$	18.4571	+	7.90650i	0.939439	+	0.402430i
$387$	−11.4442	+	3.06645i	−0.581740	+	0.155877i
$388$	−0.200420	+	8.33190i	−0.0101748	+	0.422988i
$389$	10.6237	+	10.6237i	0.538645	+	0.538645i	0.923131	−	0.384486i	$-0.125621\pi$
$389$	10.6237	+	10.6237i	0.538645	+	0.538645i	−0.384486	+	0.923131i	$0.625621\pi$
$390$	−0.0196230	+	0.0113491i	−0.000993648	+	0.000574685i
$391$	13.2462			0.669889
$392$	5.92695	−	4.21722i	0.299356	−	0.213002i
$393$	−4.81111	−	2.77770i	−0.242689	−	0.140116i
$394$	11.6949	+	29.2230i	0.589180	+	1.47223i
$395$	0.0249135			0.00125353
$396$	−1.14912	−	4.74191i	−0.0577454	−	0.238290i
$397$	−8.42468	+	4.86399i	−0.422823	+	0.244117i	−0.696284	−	0.717766i	$-0.745165\pi$
$397$	−8.42468	+	4.86399i	−0.422823	+	0.244117i	0.273462	+	0.961883i	$0.411831\pi$
$398$	11.7486	+	1.69070i	0.588906	+	0.0847469i
$399$	6.24940	−	3.60809i	0.312861	−	0.180631i
$400$	−17.7812	+	9.15561i	−0.889061	+	0.457780i
$401$	−4.49950	+	1.20564i	−0.224694	+	0.0602066i	−0.369409	−	0.929267i	$-0.620440\pi$
$401$	−4.49950	+	1.20564i	−0.224694	+	0.0602066i	0.144715	+	0.989473i	$0.453773\pi$
$402$	−16.7804	+	12.5584i	−0.836932	+	0.626356i
$403$	22.7646	−	3.29353i	1.13398	−	0.164062i
$404$	−3.85542	−	7.06488i	−0.191815	−	0.351491i
$405$	−0.00385006	−	0.00222283i	−0.000191311	−	0.000110454i
$406$	1.93570	−	2.46081i	0.0960670	−	0.122128i
$407$	3.05715	−	1.76505i	0.151537	−	0.0874901i
$408$	−4.37149	+	1.62862i	−0.216421	+	0.0806285i
$409$	−5.58652	+	20.8492i	−0.276236	+	1.03093i	0.678773	+	0.734348i	$0.262512\pi$
$409$	−5.58652	+	20.8492i	−0.276236	+	1.03093i	−0.955009	+	0.296578i	$0.904155\pi$
$410$	−0.0300353	+	0.0701150i	−0.00148334	+	0.00346273i
$411$			2.32504i			0.114686i
$412$	26.2872	−	6.37025i	1.29508	−	0.313840i
$413$	5.42293	+	20.2387i	0.266845	+	0.995880i
$414$	−8.92704	−	7.02210i	−0.438740	−	0.345118i
$415$	−0.0138959			−0.000682123
$416$	15.0886	−	13.7235i	0.739779	−	0.672850i
$417$	−11.4695			−0.561662
$418$	−9.29894	−	7.31465i	−0.454826	−	0.357771i
$419$	−4.23192	−	15.7937i	−0.206743	−	0.771574i	−0.988911	−	0.148507i	$-0.952553\pi$
$419$	−4.23192	−	15.7937i	−0.206743	−	0.771574i	0.782169	−	0.623067i	$-0.214113\pi$
$420$	0.0181840	−	0.00440657i	0.000887287	−	0.000215019i
$421$			33.9204i			1.65318i	0.562804	+	0.826591i	$0.309723\pi$
$421$			33.9204i			1.65318i	−0.562804	+	0.826591i	$0.690277\pi$
$422$	−8.44968	+	19.7251i	−0.411324	+	0.960201i
$423$	0.609138	−	2.27333i	0.0296173	−	0.110533i
$424$	−8.89565	−	23.8775i	−0.432011	−	1.15959i
$425$	−7.14179	+	4.12331i	−0.346428	+	0.200010i
$426$	5.89899	−	7.49924i	0.285807	−	0.363339i
$427$	−16.6807	−	9.63062i	−0.807237	−	0.466059i
$428$	−13.4388	−	24.6260i	−0.649589	−	1.19034i
$429$	5.44343	+	6.90934i	0.262811	+	0.333586i
$430$	−0.0596371	+	0.0446322i	−0.00287596	+	0.00215235i
$431$	31.2016	−	8.36044i	1.50293	−	0.402708i	0.588848	−	0.808243i	$-0.299581\pi$
$431$	31.2016	−	8.36044i	1.50293	−	0.402708i	0.914079	+	0.405535i	$0.132915\pi$
$432$	3.80946	+	1.21985i	0.183283	+	0.0586901i
$433$	17.4685	−	10.0854i	0.839483	−	0.484676i	−0.0176054	−	0.999845i	$-0.505604\pi$
$433$	17.4685	−	10.0854i	0.839483	−	0.484676i	0.857088	+	0.515169i	$0.172271\pi$
$434$	−18.7916	−	2.70422i	−0.902025	−	0.129807i
$435$	−0.00405049	+	0.00233855i	−0.000194206	+	0.000112125i
$436$	1.71098	+	7.06046i	0.0819412	+	0.338135i
$437$	−27.5409			−1.31746
$438$	3.02975	+	7.57068i	0.144767	+	0.361741i
$439$	−23.7482	−	13.7111i	−1.13344	−	0.654393i	−0.188643	−	0.982046i	$-0.560409\pi$
$439$	−23.7482	−	13.7111i	−1.13344	−	0.654393i	−0.944798	+	0.327653i	$0.893742\pi$
$440$	−0.0177844	−	0.0249945i	−0.000847837	−	0.00119157i
$441$	−2.57181			−0.122467
$442$	5.94225	−	5.95124i	0.282644	−	0.283072i
$443$	−4.29136	−	4.29136i	−0.203889	−	0.203889i	0.597775	−	0.801664i	$-0.296052\pi$
$443$	−4.29136	−	4.29136i	−0.203889	−	0.203889i	−0.801664	+	0.597775i	$0.796052\pi$
$444$	−0.0695940	+	2.89318i	−0.00330279	+	0.137304i
$445$	0.0363526	−	0.00974065i	0.00172328	−	0.000461751i
$446$	7.07448	+	3.03052i	0.334986	+	0.143499i
$447$	11.2136	+	11.2136i	0.530383	+	0.530383i
$448$	−15.1480	+	7.34444i	−0.715678	+	0.346992i
$449$	6.45807	−	24.1019i	0.304775	−	1.13744i	−0.628363	−	0.777920i	$-0.716275\pi$
$449$	6.45807	−	24.1019i	0.304775	−	1.13744i	0.933139	−	0.359517i	$-0.117058\pi$
$450$	6.99894	+	1.00719i	0.329933	+	0.0474793i
$451$	28.5892	+	7.66045i	1.34621	+	0.360716i
$452$	2.37702	−	2.26535i	0.111805	−	0.106553i
$453$	−0.676831	+	1.17231i	−0.0318003	+	0.0550797i
$454$	−26.3860	−	3.79710i	−1.23836	−	0.178207i
$455$	−0.0264955	+	0.0208741i	−0.00124213	+	0.000978594i
$456$	9.08901	−	3.38615i	0.425632	−	0.158571i
$457$	10.8575	−	2.90925i	0.507892	−	0.136089i	0.00423150	−	0.999991i	$-0.498653\pi$
$457$	10.8575	−	2.90925i	0.507892	−	0.136089i	0.503660	+	0.863902i	$0.331986\pi$
$458$	14.2742	+	11.2283i	0.666990	+	0.524662i
$459$	1.59313	+	0.426878i	0.0743610	+	0.0199250i
$460$	−0.0685110	−	0.0201352i	−0.00319434	−	0.000938810i
$461$	5.36413	+	9.29095i	0.249833	+	0.432723i	0.963479	−	0.267783i	$-0.0862911\pi$
$461$	5.36413	+	9.29095i	0.249833	+	0.432723i	−0.713647	+	0.700506i	$0.752958\pi$
$462$	−2.69746	−	6.74038i	−0.125497	−	0.313591i
$463$	−20.5412	+	20.5412i	−0.954630	+	0.954630i	−0.999015	−	0.0443842i	$-0.985867\pi$
$463$	−20.5412	+	20.5412i	−0.954630	+	0.954630i	0.0443842	+	0.999015i	$0.485867\pi$
$464$	3.11530	−	2.82916i	0.144624	−	0.131340i
$465$	0.0245615	+	0.0141806i	0.00113901	+	0.000657608i
$466$	−4.72134	−	3.71386i	−0.218712	−	0.172041i
$467$	−9.91244	−	9.91244i	−0.458693	−	0.458693i	0.439533	−	0.898226i	$-0.355144\pi$
$467$	−9.91244	−	9.91244i	−0.458693	−	0.458693i	−0.898226	+	0.439533i	$0.855144\pi$
$468$	−7.15956	+	0.860614i	−0.330951	+	0.0397819i
$469$	−22.0527	+	22.0527i	−1.01830	+	1.01830i
$470$	−0.00175484	−	0.0146925i	−8.09448e−5	−	0.000677714i
$471$	1.21211	−	2.09943i	0.0558510	−	0.0967368i
$472$	2.66650	+	28.0359i	0.122736	+	1.29046i
$473$	20.4381	+	20.4381i	0.939743	+	0.939743i
$474$	7.28498	+	3.12069i	0.334610	+	0.143338i
$475$	14.8489	−	8.57300i	0.681313	−	0.393356i
$476$	−6.09321	+	3.32517i	−0.279282	+	0.152409i
$477$	−2.33165	+	8.70183i	−0.106759	+	0.398429i
$478$	−1.55199	−	12.9941i	−0.0709863	−	0.594336i
$479$	3.34760	+	12.4934i	0.152956	+	0.570839i	0.999272	+	0.0381577i	$0.0121489\pi$
$479$	3.34760	+	12.4934i	0.152956	+	0.570839i	−0.846316	+	0.532681i	$0.821184\pi$
$480$	0.0250855	−	0.00177840i	0.00114499	−	8.11726e-5i
$481$	−2.05800	−	4.79422i	−0.0938369	−	0.218598i
$482$	11.0350	−	8.25858i	0.502633	−	0.376168i
$483$	−14.6361	−	8.45018i	−0.665968	−	0.384497i
$484$	7.30923	−	6.96585i	0.332238	−	0.316630i
$485$	0.00479483	−	0.0178946i	0.000217722	−	0.000812550i
$486$	−0.847365	−	1.13224i	−0.0384373	−	0.0513595i
$487$	−0.793620	−	0.212650i	−0.0359624	−	0.00963609i	0.240793	−	0.970576i	$-0.422593\pi$
$487$	−0.793620	−	0.212650i	−0.0359624	−	0.00963609i	−0.276755	+	0.960940i	$0.589259\pi$
$488$	−19.9574	−	16.4908i	−0.903429	−	0.746503i
$489$	−12.1394	+	12.1394i	−0.548961	+	0.548961i
$490$	−0.0150118	+	0.00600765i	−0.000678165	+	0.000271398i
$491$	9.76446	+	36.4415i	0.440664	+	1.64458i	0.727138	+	0.686492i	$0.240850\pi$
$491$	9.76446	+	36.4415i	0.440664	+	1.64458i	−0.286474	+	0.958088i	$0.592483\pi$
$492$	−17.5653	+	16.7401i	−0.791905	+	0.754702i
$493$	1.22697	−	1.22697i	0.0552598	−	0.0552598i
$494$	−12.3549	+	12.3736i	−0.555871	+	0.556712i
$495$			0.0108456i			0.000487471i
$496$	−24.3024	−	7.78203i	−1.09121	−	0.349423i
$497$	7.09866	−	12.2952i	0.318418	−	0.551517i
$498$	−4.06331	−	1.74061i	−0.182081	−	0.0779987i
$499$			16.2975i			0.729575i	0.931091	+	0.364788i	$0.118858\pi$
$499$			16.2975i			0.729575i	−0.931091	+	0.364788i	$0.881142\pi$
$500$	0.0864121	−	0.0209405i	0.00386447	−	0.000936487i
$501$	−4.56918	−	7.91406i	−0.204136	−	0.353574i
$502$	22.3389	+	29.8490i	0.997032	+	1.33223i
$503$	19.1716	+	33.2062i	0.854821	+	1.48059i	0.876811	+	0.480835i	$0.159666\pi$
$503$	19.1716	+	33.2062i	0.854821	+	1.48059i	−0.0219907	+	0.999758i	$0.507000\pi$
$504$	5.86915	+	0.989209i	0.261433	+	0.0440629i
$505$	0.00463034	+	0.0172807i	0.000206048	+	0.000768980i
$506$	−3.94675	+	27.4259i	−0.175455	+	1.21923i
$507$	11.0885	−	6.78563i	0.492458	−	0.301360i
$508$	−41.8907	−	12.3116i	−1.85860	−	0.546238i
$509$	−3.36298	+	5.82486i	−0.149062	+	0.258182i	−0.930881	−	0.365323i	$-0.880959\pi$
$509$	−3.36298	+	5.82486i	−0.149062	+	0.258182i	0.781819	+	0.623505i	$0.214292\pi$
$510$	0.0102964	−	0.00122978i	0.000455931	−	5.44555e-5i
$511$	6.06682	+	10.5080i	0.268380	+	0.464849i
$512$	−21.7180	+	6.35046i	−0.959809	+	0.280653i
$513$	−3.31237	−	0.887546i	−0.146245	−	0.0391861i
$514$	−8.26334	−	20.6483i	−0.364480	−	0.910758i
$515$	−0.0601233			−0.00264935
$516$	−23.0292	+	5.58073i	−1.01380	+	0.245678i
$517$	−5.54597	+	1.48604i	−0.243911	+	0.0653559i
$518$	0.510700	+	4.27586i	0.0224389	+	0.187871i
$519$			4.78044i			0.209838i
$520$	−0.0397804	+	0.0217479i	−0.00174449	+	0.000953709i
$521$		−	30.5809i		−	1.33977i	−0.742464	−	0.669886i	$-0.766343\pi$
$521$		−	30.5809i		−	1.33977i	0.742464	−	0.669886i	$-0.233657\pi$
$522$	−1.47734	+	0.176450i	−0.0646612	+	0.00772300i
$523$	−18.4422	+	4.94157i	−0.806421	+	0.216080i	−0.638401	−	0.769704i	$-0.720404\pi$
$523$	−18.4422	+	4.94157i	−0.806421	+	0.216080i	−0.168020	+	0.985784i	$0.553737\pi$
$524$	−9.48585	−	5.78518i	−0.414391	−	0.252727i
$525$	10.5216			0.459200
$526$	−0.411263	+	0.164585i	−0.0179319	+	0.00717626i
$527$	−10.1634	−	2.72327i	−0.442724	−	0.118627i
$528$	−2.06951	−	9.53633i	−0.0900639	−	0.415016i
$529$	20.7505	+	35.9409i	0.902195	+	1.56265i
$530$	0.00671715	+	0.0562397i	0.000291774	+	0.00244290i
$531$	4.97846	−	8.62295i	0.216047	−	0.374204i
$532$	12.6687	−	6.91353i	0.549258	−	0.299740i
$533$	16.2221	−	40.6245i	0.702657	−	1.75964i
$534$	11.8500	+	1.70528i	0.512800	+	0.0737949i
$535$	0.0161399	+	0.0602350i	0.000697790	+	0.00260419i
$536$	−34.1552	+	24.3025i	−1.47528	+	1.04971i
$537$	−12.2631	−	21.2403i	−0.529192	−	0.916587i
$538$	19.3995	−	14.5185i	0.836372	−	0.625937i
$539$	3.13707	+	5.43356i	0.135123	+	0.234040i
$540$	−0.00759099	−	0.00462955i	−0.000326664	−	0.000199224i
$541$			13.1601i			0.565798i	0.959150	+	0.282899i	$0.0912962\pi$
$541$			13.1601i			0.565798i	−0.959150	+	0.282899i	$0.908704\pi$
$542$	4.34236	−	10.1369i	0.186520	−	0.435416i
$543$	8.23540	−	14.2641i	0.353415	−	0.612132i
$544$	−8.81879	+	3.04604i	−0.378102	+	0.130598i
$545$		−	0.0161485i		−	0.000691725i
$546$	−10.3623	+	2.78496i	−0.443465	+	0.119185i
$547$	−17.8818	+	17.8818i	−0.764572	+	0.764572i	−0.977145	−	0.212573i	$-0.931816\pi$
$547$	−17.8818	+	17.8818i	−0.764572	+	0.764572i	0.212573	+	0.977145i	$0.431816\pi$
$548$	−0.111823	+	4.64873i	−0.00477683	+	0.198584i
$549$	2.36901	+	8.84128i	0.101107	+	0.377337i
$550$	−6.40930	−	16.0155i	−0.273294	−	0.682902i
$551$	−2.55105	+	2.55105i	−0.108679	+	0.108679i
$552$	−17.5112	−	14.4695i	−0.745325	−	0.615863i
$553$	11.3908	+	3.05216i	0.484387	+	0.129791i
$554$	−26.4085	+	19.7640i	−1.12199	+	0.839693i
$555$	0.00166497	−	0.00621373i	7.06738e−5	−	0.000263758i
$556$	−22.9323	−	0.551625i	−0.972547	−	0.0233941i
$557$	2.26202	+	1.30598i	0.0958448	+	0.0553360i	0.547156	−	0.837030i	$-0.315710\pi$
$557$	2.26202	+	1.30598i	0.0958448	+	0.0553360i	−0.451311	+	0.892366i	$0.649044\pi$
$558$	5.40576	+	7.22313i	0.228844	+	0.305780i
$559$	33.5554	−	26.4362i	1.41924	−	1.11813i
$560$	0.0365693	−	0.00793603i	0.00154534	−	0.000335359i
$561$	−1.04140	−	3.88657i	−0.0439681	−	0.164091i
$562$	4.16901	−	0.497938i	0.175859	−	0.0210042i
$563$	−1.21653	+	4.54013i	−0.0512704	+	0.191344i	−0.986811	−	0.161874i	$-0.948246\pi$
$563$	−1.21653	+	4.54013i	−0.0512704	+	0.191344i	0.935541	+	0.353218i	$0.114913\pi$
$564$	1.32726	−	4.51605i	0.0558877	−	0.190160i
$565$	−0.00632102	+	0.00364945i	−0.000265928	+	0.000153533i
$566$	−6.34545	+	14.8129i	−0.266719	+	0.622633i
$567$	−1.48798	−	1.48798i	−0.0624894	−	0.0624894i
$568$	12.1552	−	14.7104i	0.510022	−	0.617236i
$569$	−19.4832	+	33.7458i	−0.816777	+	1.41470i	0.0912684	+	0.995826i	$0.470908\pi$
$569$	−19.4832	+	33.7458i	−0.816777	+	1.41470i	−0.908045	+	0.418872i	$0.862425\pi$
$570$	−0.0214077	+	0.00255690i	−0.000896672	+	0.000107097i
$571$	2.25191	−	2.25191i	0.0942393	−	0.0942393i	−0.658415	−	0.752655i	$-0.728773\pi$
$571$	2.25191	−	2.25191i	0.0942393	−	0.0942393i	0.752655	+	0.658415i	$0.228773\pi$
$572$	10.5514	+	14.0765i	0.441176	+	0.588568i
$573$	3.24006	+	3.24006i	0.135355	+	0.135355i
$574$	−22.3224	+	28.3779i	−0.931718	+	1.18447i
$575$	−34.7762	−	20.0780i	−1.45027	−	0.837312i
$576$	7.55804	+	2.62221i	0.314918	+	0.109259i
$577$	−7.21301	+	7.21301i	−0.300282	+	0.300282i	−0.841124	−	0.540842i	$-0.818106\pi$
$577$	−7.21301	+	7.21301i	−0.300282	+	0.300282i	0.540842	+	0.841124i	$0.318106\pi$
$578$	18.7489	−	7.50321i	0.779852	−	0.312093i
$579$	−7.09908	−	12.2960i	−0.295028	−	0.511003i
$580$	−0.00821111	+	0.00448094i	−0.000340948	+	0.000186061i
$581$	−6.35341	−	1.70239i	−0.263584	−	0.0706270i
$582$	3.64354	−	4.63195i	0.151030	−	0.192001i
$583$	21.2288	−	5.68823i	0.879206	−	0.235583i
$584$	5.69363	+	15.2827i	0.235604	+	0.632403i
$585$	0.0159174	+	0.00188894i	0.000658104	+	7.80979e-5i
$586$	2.38616	−	16.5814i	0.0985714	−	0.684971i
$587$	10.2753	−	17.7973i	0.424107	−	0.734575i	−0.572230	−	0.820093i	$-0.693921\pi$
$587$	10.2753	−	17.7973i	0.424107	−	0.734575i	0.996337	+	0.0855188i	$0.0272548\pi$
$588$	−5.14214	−	0.123691i	−0.212058	−	0.00510095i
$589$	21.1312	+	5.66209i	0.870697	+	0.233303i
$590$	0.00891671	−	0.0619621i	0.000367095	−	0.00255094i
$591$	5.76056	−	21.4987i	0.236958	−	0.884338i
$592$	−0.278296	+	5.78135i	−0.0114379	+	0.237612i
$593$	−8.38071	−	8.38071i	−0.344154	−	0.344154i	0.513772	−	0.857927i	$-0.328248\pi$
$593$	−8.38071	−	8.38071i	−0.344154	−	0.344154i	−0.857927	+	0.513772i	$0.828248\pi$
$594$	−1.35852	+	3.17135i	−0.0557408	+	0.130122i
$595$	0.0149040	−	0.00399351i	0.000611003	−	0.000163718i
$596$	21.8813	+	22.9599i	0.896293	+	0.940476i
$597$	−5.93483	−	5.93483i	−0.242896	−	0.242896i
$598$	39.5641	+	10.5691i	1.61790	+	0.432203i
$599$	18.5497			0.757922			0.378961	−	0.925413i	$-0.376281\pi$
$599$	18.5497			0.757922			0.378961	+	0.925413i	$0.376281\pi$
$600$	13.9454	+	2.35041i	0.569318	+	0.0959550i
$601$	−13.9583	−	8.05884i	−0.569372	−	0.328727i	0.187527	−	0.982260i	$-0.439953\pi$
$601$	−13.9583	−	8.05884i	−0.569372	−	0.328727i	−0.756898	+	0.653533i	$0.773286\pi$
$602$	−32.7348	+	13.1003i	−1.33417	+	0.533929i
$603$	14.8205			0.603539
$604$	−1.40965	+	2.31138i	−0.0573579	+	0.0940487i
$605$	−0.0194369	+	0.0112219i	−0.000790223	+	0.000456235i
$606$	−0.810629	+	5.63305i	−0.0329296	+	0.228827i
$607$	−27.4356	+	15.8400i	−1.11358	+	0.642925i	−0.939754	−	0.341852i	$-0.888946\pi$
$607$	−27.4356	+	15.8400i	−1.11358	+	0.642925i	−0.173824	+	0.984777i	$0.555612\pi$
$608$	18.3356	−	6.33320i	0.743608	−	0.256845i
$609$	−2.13844	+	0.572993i	−0.0866539	+	0.0232188i
$610$	0.0344809	+	0.0460732i	0.00139609	+	0.00186545i
$611$	1.21505	+	8.39832i	0.0491557	+	0.339760i
$612$	3.16481	+	0.930132i	0.127930	+	0.0375983i
$613$	−17.9940	−	10.3888i	−0.726771	−	0.419602i	0.0904686	−	0.995899i	$-0.471164\pi$
$613$	−17.9940	−	10.3888i	−0.726771	−	0.419602i	−0.817240	+	0.576298i	$0.804497\pi$
$614$	−13.3204	−	10.4780i	−0.537569	−	0.422858i
$615$	0.0467101	−	0.0269681i	0.00188353	−	0.00108746i
$616$	−5.06919	−	13.6066i	−0.204243	−	0.548225i
$617$	−12.3322	+	46.0242i	−0.496474	+	1.85287i	0.0251405	+	0.999684i	$0.491997\pi$
$617$	−12.3322	+	46.0242i	−0.496474	+	1.85287i	−0.521614	+	0.853181i	$0.674670\pi$
$618$	−17.5807	−	7.53110i	−0.707200	−	0.302945i
$619$		−	25.1380i		−	1.01038i	−0.863008	−	0.505191i	$-0.831422\pi$
$619$		−	25.1380i		−	1.01038i	0.863008	−	0.505191i	$-0.168578\pi$
$620$	0.0484267	+	0.0295342i	0.00194486	+	0.00118612i
$621$	2.07864	+	7.75759i	0.0834130	+	0.311301i
$622$	2.92006	−	3.71221i	0.117084	−	0.148846i
$623$	17.8143			0.713713
$624$	−14.3564	+	1.37639i	−0.574715	+	0.0550998i
$625$	24.9997			0.999988
$626$	3.97638	−	5.05508i	0.158928	−	0.202042i
$627$	2.16524	+	8.08077i	0.0864712	+	0.322715i
$628$	2.52449	−	4.13936i	0.100738	−	0.165178i
$629$			2.38660i			0.0951600i
$630$	−0.0121613	−	0.00520958i	−0.000484518	−	0.000207554i
$631$	1.00511	−	3.75111i	0.0400127	−	0.149329i	−0.943029	−	0.332709i	$-0.892037\pi$
$631$	1.00511	−	3.75111i	0.0400127	−	0.149329i	0.983042	+	0.183380i	$0.0587038\pi$
$632$	14.4156	+	6.58994i	0.573424	+	0.262134i
$633$	13.1407	−	7.58679i	0.522296	−	0.301548i
$634$	−38.9552	−	30.6426i	−1.54711	−	1.21697i
$635$	0.0840515	+	0.0485272i	0.00333548	+	0.00192574i
$636$	−5.08046	+	17.2865i	−0.201453	+	0.685453i
$637$	8.52090	−	3.65775i	0.337610	−	0.144925i
$638$	2.17483	+	2.90599i	0.0861023	+	0.115049i
$639$	−6.51684	+	1.74618i	−0.257802	+	0.0690779i
$640$	0.0502421	−	0.00234928i	0.00198599	−	9.28636e-5i
$641$	−6.64559	+	3.83683i	−0.262485	+	0.151546i	−0.625468	−	0.780250i	$-0.715092\pi$
$641$	−6.64559	+	3.83683i	−0.262485	+	0.151546i	0.362983	+	0.931796i	$0.381758\pi$
$642$	−2.82560	+	19.6351i	−0.111517	+	0.774934i
$643$	29.0527	−	16.7736i	1.14572	−	0.661485i	0.197883	−	0.980226i	$-0.436593\pi$
$643$	29.0527	−	16.7736i	1.14572	−	0.661485i	0.947842	+	0.318741i	$0.103260\pi$
$644$	−28.8574	−	17.5994i	−1.13714	−	0.693514i
$645$	0.0526717			0.00207395
$646$	7.42608	−	2.97188i	0.292175	−	0.116927i
$647$	−26.6634	−	15.3941i	−1.04825	−	0.605206i	−0.126090	−	0.992019i	$-0.540243\pi$
$647$	−26.6634	−	15.3941i	−1.04825	−	0.605206i	−0.922158	+	0.386812i	$0.873576\pi$
$648$	−1.63978	−	2.30458i	−0.0644168	−	0.0905326i
$649$	−24.2907			−0.953492
$650$	−24.6213	+	6.61721i	−0.965726	+	0.259548i
$651$	9.49258	+	9.49258i	0.372044	+	0.372044i
$652$	−24.8556	+	23.6879i	−0.973419	+	0.927689i
$653$	21.1082	−	5.65592i	0.826028	−	0.221333i	0.179048	−	0.983840i	$-0.442698\pi$
$653$	21.1082	−	5.65592i	0.826028	−	0.221333i	0.646980	+	0.762507i	$0.276032\pi$
$654$	2.02277	−	4.72199i	0.0790967	−	0.184644i
$655$	0.0174637	+	0.0174637i	0.000682365	+	0.000682365i
$656$	−35.9256	+	32.6257i	−1.40266	+	1.27382i
$657$	1.49236	−	5.56958i	0.0582226	−	0.217290i
$658$	0.997642	−	6.93260i	0.0388921	−	0.270261i
$659$	21.3637	+	5.72438i	0.832211	+	0.222990i	0.649678	−	0.760209i	$-0.274904\pi$
$659$	21.3637	+	5.72438i	0.832211	+	0.222990i	0.182533	+	0.983200i	$0.441570\pi$
$660$	−0.000521617		0.0216848i	−2.03039e−5		0.000844081i
$661$	5.79662	−	10.0400i	0.225462	−	0.390512i	−0.730996	−	0.682382i	$-0.760944\pi$
$661$	5.79662	−	10.0400i	0.225462	−	0.390512i	0.956458	+	0.291870i	$0.0942774\pi$
$662$	−0.683403	+	4.74896i	−0.0265612	+	0.184573i
$663$	−5.88547	+	0.851496i	−0.228573	+	0.0330694i
$664$	−8.04056	−	3.67564i	−0.312034	−	0.142643i
$665$	−0.0309876	+	0.00830312i	−0.00120165	+	0.000321981i
$666$	1.26519	−	1.60841i	0.0490251	−	0.0623245i
$667$	8.16144	+	2.18685i	0.316012	+	0.0846752i
$668$	−8.75510	−	16.0433i	−0.338745	−	0.620734i
$669$	−2.72104	−	4.71297i	−0.105201	−	0.182214i
$670$	0.0865083	−	0.0346202i	0.00334211	−	0.00133749i
$671$	15.7896	−	15.7896i	0.609550	−	0.609550i
$672$	11.6873	+	2.26012i	0.450849	+	0.0871862i
$673$	19.4915	+	11.2534i	0.751342	+	0.433788i	0.826179	−	0.563408i	$-0.190510\pi$
$673$	19.4915	+	11.2534i	0.751342	+	0.433788i	−0.0748365	+	0.997196i	$0.523843\pi$
$674$	19.9547	−	25.3679i	0.768625	−	0.977134i
$675$	−3.53552	−	3.53552i	−0.136082	−	0.136082i
$676$	22.4970	−	13.0340i	0.865268	−	0.501309i
$677$	−4.72287	+	4.72287i	−0.181515	+	0.181515i	−0.792016	−	0.610501i	$-0.790968\pi$
$677$	−4.72287	+	4.72287i	−0.181515	+	0.181515i	0.610501	+	0.792016i	$0.290968\pi$
$678$	−2.30547	+	0.275360i	−0.0885409	+	0.0105751i
$679$	4.38453	−	7.59423i	0.168263	−	0.291440i
$680$	0.0206459	−	0.00196364i	0.000791736	−	7.53021e-5i
$681$	13.3289	+	13.3289i	0.510765	+	0.510765i
$682$	8.66668	−	20.2316i	0.331864	−	0.774709i
$683$	21.0196	−	12.1356i	0.804291	−	0.464357i	−0.0406785	−	0.999172i	$-0.512952\pi$
$683$	21.0196	−	12.1356i	0.804291	−	0.464357i	0.844969	+	0.534815i	$0.179619\pi$
$684$	−6.58013	−	1.93389i	−0.251598	−	0.0739440i
$685$	0.00267524	−	0.00998415i	0.000102216	−	0.000381475i
$686$	−28.2844	+	3.37822i	−1.07990	+	0.128981i
$687$	−3.32372	−	12.4043i	−0.126808	−	0.473253i
$688$	−46.3135	+	10.0506i	−1.76568	+	0.383177i
$689$	−4.65095	−	32.1470i	−0.177187	−	1.22470i
$690$	0.0302546	+	0.0404259i	0.00115177	+	0.00153899i
$691$	33.6178	+	19.4092i	1.27888	+	0.738362i	0.976643	−	0.214871i	$-0.0689330\pi$
$691$	33.6178	+	19.4092i	1.27888	+	0.738362i	0.302238	+	0.953233i	$0.402266\pi$
$692$	−0.229915	+	9.55811i	−0.00874007	+	0.363345i
$693$	−1.32869	+	4.95874i	−0.0504728	+	0.188367i
$694$	−21.2526	+	15.9053i	−0.806736	+	0.603758i
$695$	0.0492521	+	0.0131970i	0.00186824	+	0.000500593i
$696$	−2.96230	+	0.281745i	−0.112286	+	0.0106795i
$697$	−14.1493	+	14.1493i	−0.535945	+	0.535945i
$698$	13.5709	+	33.9106i	0.513664	+	1.28354i
$699$	1.09935	+	4.10285i	0.0415814	+	0.155184i
$700$	21.0371	+	0.506036i	0.795127	+	0.0191264i
$701$	−1.41904	+	1.41904i	−0.0535964	+	0.0535964i	−0.733397	−	0.679801i	$-0.762066\pi$
$701$	−1.41904	+	1.41904i	−0.0535964	+	0.0535964i	0.679801	+	0.733397i	$0.262066\pi$
$702$	4.41781	+	2.54617i	0.166739	+	0.0960990i
$703$		−	4.96211i		−	0.187149i
$704$	−3.67918	−	19.1667i	−0.138664	−	0.722372i
$705$	−0.00523150	+	0.00906123i	−0.000197030	+	0.000341266i
$706$	2.47998	−	5.78930i	0.0933353	−	0.217883i
$707$			8.46823i			0.318481i
$708$	10.3688	−	17.0015i	0.389682	−	0.638954i
$709$	23.0042	+	39.8444i	0.863940	+	1.49639i	0.868096	+	0.496396i	$0.165344\pi$
$709$	23.0042	+	39.8444i	0.863940	+	1.49639i	−0.00415676	+	0.999991i	$0.501323\pi$
$710$	−0.0339602	+	0.0254156i	−0.00127450	+	0.000953832i
$711$	−2.80200	−	4.85320i	−0.105083	−	0.182009i
$712$	23.6111	+	3.97951i	0.884865	+	0.149138i
$713$	−13.2607	−	49.4895i	−0.496616	−	1.85340i
$714$	4.85831	+	0.699139i	0.181818	+	0.0261646i
$715$	−0.0154250	−	0.0359334i	−0.000576864	−	0.00134383i
$716$	−23.4976	−	43.0581i	−0.878145	−	1.60916i
$717$	−4.62676	+	8.01378i	−0.172790	+	0.299280i
$718$	1.42009	+	11.8898i	0.0529974	+	0.443724i
$719$	−25.4552	−	44.0898i	−0.949321	−	1.64427i	−0.746860	−	0.664981i	$-0.768440\pi$
$719$	−25.4552	−	44.0898i	−0.949321	−	1.64427i	−0.202460	−	0.979290i	$-0.564894\pi$
$720$	−0.0149549	−	0.00962152i	−0.000557337	−	0.000358573i
$721$	−27.4892	−	7.36572i	−1.02375	−	0.274314i
$722$	9.50659	−	3.80449i	0.353799	−	0.141588i
$723$	−9.74619			−0.362465
$724$	17.1521	−	28.1239i	0.637451	−	1.04522i
$725$	−5.08103	+	1.36146i	−0.188705	+	0.0505633i
$726$	−7.08922	+	0.846722i	−0.263106	+	0.0314248i
$727$			33.5231i			1.24330i	0.783294	+	0.621651i	$0.213538\pi$
$727$			33.5231i			1.24330i	−0.783294	+	0.621651i	$0.786462\pi$
$728$	−20.8525	+	5.06994i	−0.772846	+	0.187905i
$729$			1.00000i			0.0370370i
$730$	−0.00429929	−	0.0359960i	−0.000159124	−	0.00133227i
$731$	−18.8752	+	5.05760i	−0.698125	+	0.187062i
$732$	4.31144	+	17.7914i	0.159355	+	0.657589i
$733$	−15.7318			−0.581069			−0.290534	−	0.956865i	$-0.593833\pi$
$733$	−15.7318			−0.581069			−0.290534	+	0.956865i	$0.593833\pi$
$734$	−6.89402	−	17.2267i	−0.254463	−	0.635848i
$735$	0.0110438	+	0.00295919i	0.000407358	+	0.000109151i
$736$	−34.3163	−	29.7728i	−1.26492	−	1.09744i
$737$	−18.0779	−	31.3119i	−0.665908	−	1.15339i
$738$	17.0366	−	2.03481i	0.627125	−	0.0749025i
$739$	11.0378	−	19.1180i	0.406031	−	0.703267i	−0.588410	−	0.808563i	$-0.700246\pi$
$739$	11.0378	−	19.1180i	0.406031	−	0.703267i	0.994441	+	0.105296i	$0.0335791\pi$
$740$	0.00362782	−	0.0123438i	0.000133361	−	0.000453767i
$741$	12.2368	−	1.77039i	0.449530	−	0.0650370i
$742$	−3.81876	+	26.5365i	−0.140191	+	0.974186i
$743$	−2.16177	−	8.06785i	−0.0793077	−	0.295981i	0.914868	−	0.403754i	$-0.132295\pi$
$743$	−2.16177	−	8.06785i	−0.0793077	−	0.295981i	−0.994176	+	0.107773i	$0.965628\pi$
$744$	10.4610	+	14.7021i	0.383519	+	0.539004i
$745$	−0.0352505	−	0.0610557i	−0.00129148	−	0.00223691i
$746$	25.5665	+	34.1617i	0.936055	+	1.25075i
$747$	1.56286	+	2.70695i	0.0571820	+	0.0990422i
$748$	−1.89528	−	7.82097i	−0.0692982	−	0.285963i
$749$			29.5176i			1.07855i
$750$	−0.0577918	−	0.0247565i	−0.00211026	−	0.000903978i
$751$	−14.7748	+	25.5908i	−0.539142	+	0.933821i	0.459809	+	0.888018i	$0.347918\pi$
$751$	−14.7748	+	25.5908i	−0.539142	+	0.933821i	−0.998950	+	0.0458029i	$0.985415\pi$
$752$	2.87095	−	8.96566i	0.104693	−	0.326944i
$753$		−	26.3627i		−	0.960712i
$754$	4.64374	−	2.68575i	0.169115	−	0.0978091i
$755$	0.00425532	−	0.00425532i	0.000154867	−	0.000154867i
$756$	−2.90354	−	3.04667i	−0.105601	−	0.110806i
$757$	−8.27451	−	30.8809i	−0.300742	−	1.12239i	−0.936549	−	0.350537i	$-0.885999\pi$
$757$	−8.27451	−	30.8809i	−0.300742	−	1.12239i	0.635807	−	0.771848i	$-0.280668\pi$
$758$	−6.65651	+	2.66390i	−0.241776	+	0.0967573i
$759$	13.8542	−	13.8542i	0.502877	−	0.502877i
$760$	−0.0429261	+	0.00408271i	−0.00155709	+	0.000148095i
$761$	46.4915	+	12.4573i	1.68531	+	0.451578i	0.969174	−	0.246378i	$-0.0792405\pi$
$761$	46.4915	+	12.4573i	1.68531	+	0.451578i	0.716140	+	0.697957i	$0.245907\pi$
$762$	18.4990	+	24.7182i	0.670148	+	0.895446i
$763$	1.97835	−	7.38332i	0.0716212	−	0.267294i
$764$	6.32241	+	6.63407i	0.228737	+	0.240012i
$765$	−0.00635003	−	0.00366619i	−0.000229586	−	0.000132551i
$766$	−5.44954	+	4.07841i	−0.196900	+	0.147359i
$767$	−4.23063	+	35.6500i	−0.152759	+	1.28725i
$768$	14.9856	+	5.60641i	0.540746	+	0.202304i
$769$	4.87714	+	18.2017i	0.175874	+	0.656371i	0.996401	+	0.0847636i	$0.0270135\pi$
$769$	4.87714	+	18.2017i	0.175874	+	0.656371i	−0.820527	+	0.571608i	$0.806320\pi$
$770$	0.00382777	+	0.0320482i	0.000137943	+	0.00115494i
$771$	−4.07028	+	15.1905i	−0.146587	+	0.547072i
$772$	−13.6027	−	24.9263i	−0.489571	−	0.897116i
$773$	−24.0602	+	13.8912i	−0.865386	+	0.499631i	−0.865812	−	0.500369i	$-0.833198\pi$
$773$	−24.0602	+	13.8912i	−0.865386	+	0.499631i	0.000426537		1.00000i	$0.499864\pi$
$774$	15.4018	+	6.59770i	0.553605	+	0.237149i
$775$	22.5548	+	22.5548i	0.810193	+	0.810193i
$776$	7.50776	−	9.08599i	0.269513	−	0.326168i
$777$	1.52249	−	2.63703i	0.0546191	−	0.0946030i
$778$	−2.51985	−	21.0975i	−0.0903409	−	0.756384i
$779$	29.4187	−	29.4187i	1.05403	−	1.05403i
$780$	0.0317347	+	0.00454233i	0.00113629	+	0.000162641i
$781$	11.6384	+	11.6384i	0.416454	+	0.416454i
$782$	−14.7236	−	11.5818i	−0.526516	−	0.414164i
$783$	0.911110	+	0.526029i	0.0325604	+	0.0187988i
$784$	−10.2753	−	0.494623i	−0.366977	−	0.0176651i
$785$	−0.00762068	+	0.00762068i	−0.000271994	+	0.000271994i
$786$	2.91906	+	7.29410i	0.104119	+	0.260172i
$787$	−4.42409	−	7.66275i	−0.157702	−	0.273147i	0.776338	−	0.630317i	$-0.217075\pi$
$787$	−4.42409	−	7.66275i	−0.157702	−	0.273147i	−0.934040	+	0.357170i	$0.883742\pi$
$788$	12.5518	−	42.7079i	0.447138	−	1.52141i
$789$	0.302557	+	0.0810698i	0.0107713	+	0.00288616i
$790$	−0.0276923	−	0.0217831i	−0.000985248	−	0.000775007i
$791$	−3.33716	+	0.894188i	−0.118656	+	0.0317937i
$792$	−2.86878	+	6.27554i	−0.101938	+	0.222991i
$793$	−20.4235	−	25.9235i	−0.725258	−	0.920571i
$794$	13.6172	+	1.95959i	0.483255	+	0.0695433i
$795$	0.0200251	−	0.0346844i	0.000710216	−	0.00123013i
$796$	−11.5808	−	12.1517i	−0.410470	−	0.430704i
$797$	8.53675	+	2.28742i	0.302387	+	0.0810244i	0.406822	−	0.913507i	$-0.366637\pi$
$797$	8.53675	+	2.28742i	0.302387	+	0.0810244i	−0.104435	+	0.994532i	$0.533303\pi$
$798$	−10.1012	−	1.45362i	−0.357578	−	0.0514575i
$799$	1.00467	−	3.74948i	0.0355427	−	0.132647i
$800$	27.7697	+	5.37016i	0.981806	+	0.189864i
$801$	−5.98604	−	5.98604i	−0.211506	−	0.211506i
$802$	6.05550	+	2.59401i	0.213827	+	0.0915978i
$803$	−13.5874	+	3.64073i	−0.479489	+	0.128479i
$804$	29.6325	+	0.712794i	1.04506	+	0.0251383i
$805$	0.0531274	+	0.0531274i	0.00187249	+	0.00187249i
$806$	−28.1834	−	16.2433i	−0.992717	−	0.572145i
$807$	−17.1337			−0.603135
$808$	−1.89171	+	11.2239i	−0.0665502	+	0.394854i
$809$	−30.8847	−	17.8313i	−1.08585	−	0.626914i	−0.153379	−	0.988167i	$-0.549016\pi$
$809$	−30.8847	−	17.8313i	−1.08585	−	0.626914i	−0.932468	+	0.361253i	$0.882349\pi$
$810$	0.00233596	+	0.00583706i	8.20772e−5	+	0.000205093i
$811$	28.7769			1.01049			0.505247	−	0.862975i	$-0.331401\pi$
$811$	28.7769			1.01049			0.505247	+	0.862975i	$0.331401\pi$
$812$	−4.30320	+	1.04281i	−0.151013	+	0.0365953i
$813$	−6.75311	+	3.89891i	−0.236842	+	0.136741i
$814$	−4.94140	−	0.711097i	−0.173196	−	0.0249239i
$815$	0.0660966	−	0.0381609i	0.00231526	−	0.00133672i
$816$	6.28306	+	2.01194i	0.219951	+	0.0704319i
$817$	39.2445	−	10.5155i	1.37299	−	0.367892i
$818$	24.4391	−	18.2901i	0.854492	−	0.639498i
$819$	7.04625	+	2.81369i	0.246216	+	0.0983183i
$820$	0.0946903	−	0.0516741i	0.00330673	−	0.00180454i
$821$	41.9254	+	24.2056i	1.46321	+	0.844783i	0.999158	−	0.0410274i	$-0.0130631\pi$
$821$	41.9254	+	24.2056i	1.46321	+	0.844783i	0.464048	+	0.885810i	$0.346396\pi$
$822$	2.03289	−	2.58437i	0.0709052	−	0.0901401i
$823$	−5.25465	+	3.03378i	−0.183166	+	0.105751i	−0.588779	−	0.808294i	$-0.700391\pi$
$823$	−5.25465	+	3.03378i	−0.183166	+	0.105751i	0.405613	+	0.914045i	$0.367058\pi$
$824$	−34.7890	−	15.9034i	−1.21193	−	0.554021i
$825$	−3.15703	+	11.7822i	−0.109914	+	0.410204i
$826$	11.6678	−	27.2376i	0.405976	−	0.947716i
$827$			15.2862i			0.531554i	0.964034	+	0.265777i	$0.0856285\pi$
$827$			15.2862i			0.531554i	−0.964034	+	0.265777i	$0.914371\pi$
$828$	3.78298	+	15.6107i	0.131468	+	0.542508i
$829$	−8.26193	−	30.8339i	−0.286949	−	1.07091i	−0.947404	−	0.320041i	$-0.896303\pi$
$829$	−8.26193	−	30.8339i	−0.286949	−	1.07091i	0.660455	−	0.750866i	$-0.270363\pi$
$830$	0.0154458	+	0.0121499i	0.000536133	+	0.000421728i
$831$	23.3241			0.809104
$832$	−28.7706	+	2.06152i	−0.997443	+	0.0714702i
$833$	−4.24177			−0.146969
$834$	12.7487	+	10.0283i	0.441453	+	0.347252i
$835$	0.0105148	+	0.0392419i	0.000363881	+	0.00135802i
$836$	3.94058	+	16.2610i	0.136288	+	0.562399i
$837$		−	6.37949i		−	0.220508i
$838$	−9.10527	+	21.2555i	−0.314536	+	0.734258i
$839$	8.94962	−	33.4004i	0.308975	−	1.15311i	−0.620494	−	0.784211i	$-0.713068\pi$
$839$	8.94962	−	33.4004i	0.308975	−	1.15311i	0.929469	−	0.368900i	$-0.120265\pi$
$840$	−0.0240650	−	0.0110010i	−0.000830323	−	0.000379572i
$841$	−24.1562	+	13.9466i	−0.832972	+	0.480917i
$842$	29.6583	−	37.7039i	1.02209	−	1.29936i
$843$	−2.57113	−	1.48444i	−0.0885545	−	0.0511270i
$844$	26.6387	−	14.5372i	0.916942	−	0.500391i
$845$	−0.0554239	+	0.0163801i	−0.00190664	+	0.000563491i
$846$	−2.66476	+	1.99430i	−0.0916164	+	0.0685653i
$847$	−10.2616	+	2.74959i	−0.352594	+	0.0944772i
$848$	−10.9894	+	34.3186i	−0.377377	+	1.17851i
$849$	9.86827	−	5.69745i	0.338678	−	0.195536i
$850$	11.5436	+	1.66119i	0.395941	+	0.0569783i
$851$	−10.0643	+	5.81065i	−0.345001	+	0.199187i
$852$	−13.1139	+	3.17793i	−0.449274	+	0.108874i
$853$	42.5232			1.45597			0.727984	−	0.685594i	$-0.240458\pi$
$853$	42.5232			1.45597			0.727984	+	0.685594i	$0.240458\pi$
$854$	10.1207	+	25.2896i	0.346325	+	0.865391i
$855$	0.0132027	+	0.00762258i	0.000451522	+	0.000260687i
$856$	−6.59391	+	39.1229i	−0.225375	+	1.33719i
$857$	43.7766			1.49538			0.747690	−	0.664048i	$-0.231163\pi$
$857$	43.7766			1.49538			0.747690	+	0.664048i	$0.231163\pi$
$858$	−0.00940554	−	12.4394i	−0.000321100	−	0.424676i
$859$	21.1462	+	21.1462i	0.721499	+	0.721499i	0.968911	−	0.247411i	$-0.0795799\pi$
$859$	21.1462	+	21.1462i	0.721499	+	0.721499i	−0.247411	+	0.968911i	$0.579580\pi$
$860$	0.105313	+	0.00253325i	0.00359114	+	8.63831e-5i
$861$	24.6604	−	6.60773i	0.840424	−	0.225191i
$862$	−41.9917	−	17.9881i	−1.43024	−	0.612677i
$863$	23.4054	+	23.4054i	0.796730	+	0.796730i	0.982578	−	0.185849i	$-0.0595034\pi$
$863$	23.4054	+	23.4054i	0.796730	+	0.796730i	−0.185849	+	0.982578i	$0.559503\pi$
$864$	−3.16778	−	4.68670i	−0.107770	−	0.159445i
$865$	0.00550048	−	0.0205281i	0.000187022	−	0.000697976i
$866$	−28.2351	−	4.06320i	−0.959468	−	0.138073i
$867$	−13.7931	−	3.69586i	−0.468439	−	0.125518i
$868$	18.5231	+	19.4362i	0.628716	+	0.659708i
$869$	−6.83569	+	11.8398i	−0.231885	+	0.401636i
$870$	0.00654698		0.000942149i	0.000221964		3.19418e-5i
$871$	−49.1032	+	21.0784i	−1.66380	+	0.714216i
$872$	4.27148	−	9.34396i	0.144651	−	0.316427i
$873$	−4.02516	+	1.07854i	−0.136231	+	0.0365030i
$874$	30.6127	+	24.0803i	1.03549	+	0.814528i
$875$	−0.0903635	−	0.0242128i	−0.00305484	−	0.000818543i
$876$	3.25173	−	11.0642i	0.109866	−	0.373823i
$877$	−16.6252	−	28.7957i	−0.561393	−	0.972362i	−0.997375	−	0.0724062i	$-0.976932\pi$
$877$	−16.6252	−	28.7957i	−0.561393	−	0.972362i	0.435982	−	0.899955i	$-0.356401\pi$
$878$	14.4088	+	36.0046i	0.486275	+	1.21510i
$879$	−8.37611	+	8.37611i	−0.282519	+	0.282519i
$880$	−0.00208587	+	0.0433320i	−7.03145e−5	+	0.00146072i
$881$	25.9448	+	14.9793i	0.874103	+	0.504664i	0.868710	−	0.495322i	$-0.164950\pi$
$881$	25.9448	+	14.9793i	0.874103	+	0.504664i	0.00539370	+	0.999985i	$0.498283\pi$
$882$	2.85867	+	2.24866i	0.0962563	+	0.0757162i
$883$	2.83336	+	2.83336i	0.0953501	+	0.0953501i	0.753173	−	0.657823i	$-0.228522\pi$
$883$	2.83336	+	2.83336i	0.0953501	+	0.0953501i	−0.657823	+	0.753173i	$0.728522\pi$
$884$	−11.8085	+	1.41944i	−0.397163	+	0.0477409i
$885$	−0.0313002	+	0.0313002i	−0.00105214	+	0.00105214i
$886$	1.01787	+	8.52215i	0.0341960	+	0.286307i
$887$	−11.0146	+	19.0778i	−0.369833	+	0.640569i	−0.989539	−	0.144264i	$-0.953918\pi$
$887$	−11.0146	+	19.0778i	−0.369833	+	0.640569i	0.619706	+	0.784834i	$0.287252\pi$
$888$	2.60701	−	3.15503i	0.0874854	−	0.105876i
$889$	32.4845	+	32.4845i	1.08949	+	1.08949i
$890$	−0.0489240	−	0.0209577i	−0.00163994	−	0.000702504i
$891$	2.11274	−	1.21979i	0.0707793	−	0.0408644i
$892$	−5.21383	−	9.55409i	−0.174572	−	0.319895i
$893$	−2.08886	+	7.79575i	−0.0699012	+	0.260875i
$894$	−2.65974	−	22.2688i	−0.0889551	−	0.744781i
$895$	0.0282204	+	0.105320i	0.000943305	+	0.00352046i
$896$	23.2592	+	5.08104i	0.777036	+	0.169746i
$897$	−17.9201	−	22.7460i	−0.598336	−	0.759468i
$898$	−28.2518	+	21.1435i	−0.942774	+	0.705568i
$899$	−5.81242	−	3.35580i	−0.193855	−	0.111922i
$900$	−6.89895	−	7.23904i	−0.229965	−	0.241301i
$901$	−3.84566	+	14.3522i	−0.128117	+	0.478141i
$902$	−25.0801	−	33.5118i	−0.835074	−	1.11582i
$903$	24.0823	+	6.45282i	0.801407	+	0.214736i
$904$	−4.62284	+	0.439679i	−0.153753	+	0.0146235i
$905$	−0.0517770	+	0.0517770i	−0.00172112	+	0.00172112i
$906$	1.77733	−	0.711276i	0.0590477	−	0.0236306i
$907$	1.83165	+	6.83582i	0.0608190	+	0.226980i	0.989645	−	0.143537i	$-0.0458475\pi$
$907$	1.83165	+	6.83582i	0.0608190	+	0.226980i	−0.928826	+	0.370516i	$0.879181\pi$
$908$	26.0091	+	27.2912i	0.863142	+	0.905690i
$909$	2.84554	−	2.84554i	0.0943806	−	0.0943806i
$910$	0.0477020		3.60678e-5i	0.00158131		1.19564e-6i
$911$		−	23.8992i		−	0.791817i	−0.918290	−	0.395909i	$-0.870430\pi$
$911$		−	23.8992i		−	0.791817i	0.918290	−	0.395909i	$-0.129570\pi$
$912$	−13.0634	−	4.18313i	−0.432574	−	0.138517i
$913$	3.81271	−	6.60382i	0.126182	−	0.218554i
$914$	−14.6122	−	6.25947i	−0.483329	−	0.207045i
$915$		−	0.0406920i		−	0.00134523i
$916$	−6.04893	−	24.9613i	−0.199862	−	0.824743i
$917$	5.84518	+	10.1242i	0.193025	+	0.334329i
$918$	−1.39759	−	1.86744i	−0.0461272	−	0.0616348i
$919$	20.4778	+	35.4685i	0.675499	+	1.17000i	0.976323	+	0.216319i	$0.0694052\pi$
$919$	20.4778	+	35.4685i	0.675499	+	1.17000i	−0.300823	+	0.953680i	$0.597261\pi$
$920$	0.0585473	+	0.0822835i	0.00193025	+	0.00271281i
$921$	3.10163	+	11.5755i	0.102202	+	0.381424i
$922$	2.16109	−	15.0174i	0.0711716	−	0.494570i
$923$	19.1080	−	15.0540i	0.628948	−	0.495508i
$924$	−2.89510	+	9.85071i	−0.0952419	+	0.324065i
$925$	3.61751	−	6.26571i	0.118943	−	0.206015i
$926$	40.7925	−	4.87217i	1.34052	−	0.160109i
$927$	6.76201	+	11.7121i	0.222094	+	0.384677i
$928$	−5.93644	+	0.420855i	−0.194873	+	0.0138153i
$929$	−44.1076	−	11.8186i	−1.44712	−	0.387756i	−0.552102	−	0.833777i	$-0.686174\pi$
$929$	−44.1076	−	11.8186i	−1.44712	−	0.387756i	−0.895022	+	0.446021i	$0.852841\pi$
$930$	−0.0149022	−	0.0372375i	−0.000488664	−	0.00122106i
$931$	8.81929			0.289041
$932$	2.00075	+	8.25619i	0.0655366	+	0.270441i
$933$	−3.22591	+	0.864380i	−0.105611	+	0.0282985i
$934$	2.35113	+	19.6850i	0.0769314	+	0.644112i
$935$			0.0178879i			0.000584997i
$936$	8.71060	+	5.30334i	0.284715	+	0.173345i
$937$			53.6803i			1.75366i	0.480802	+	0.876829i	$0.340346\pi$
$937$			53.6803i			1.75366i	−0.480802	+	0.876829i	$0.659654\pi$
$938$	43.7941	−	5.23068i	1.42993	−	0.170788i
$939$	−4.39286	+	1.17706i	−0.143356	+	0.0384120i
$940$	−0.0108958	+	0.0178656i	−0.000355381	+	0.000582712i
$941$	−31.1794			−1.01642			−0.508209	−	0.861234i	$-0.669692\pi$
$941$	−31.1794			−1.01642			−0.508209	+	0.861234i	$0.669692\pi$
$942$	−3.18294	+	1.27380i	−0.103706	+	0.0415025i
$943$	−94.1175	−	25.2187i	−3.06489	−	0.821234i
$944$	21.5492	−	33.4944i	0.701367	−	1.09015i
$945$	0.00467757	+	0.00810179i	0.000152161	+	0.000263551i
$946$	−4.84770	−	40.5877i	−0.157612	−	1.31962i
$947$	−5.14901	+	8.91835i	−0.167320	+	0.289807i	−0.937477	−	0.348048i	$-0.886845\pi$
$947$	−5.14901	+	8.91835i	−0.167320	+	0.289807i	0.770157	+	0.637855i	$0.220178\pi$
$948$	−5.36896	−	9.83836i	−0.174376	−	0.319535i
$949$	2.97682	+	20.5756i	0.0966318	+	0.667911i
$950$	−24.0009	−	3.45386i	−0.778691	−	0.112058i
$951$	9.07064	+	33.8521i	0.294136	+	1.09773i
$952$	9.68018	+	1.63153i	0.313736	+	0.0528783i
$953$	−4.30130	−	7.45007i	−0.139333	−	0.241331i	0.787912	−	0.615788i	$-0.211162\pi$
$953$	−4.30130	−	7.45007i	−0.139333	−	0.241331i	−0.927244	+	0.374457i	$0.877829\pi$
$954$	10.2001	−	7.63374i	0.330242	−	0.247151i
$955$	−0.0101853	−	0.0176415i	−0.000329589	−	0.000570865i
$956$	−9.63627	+	15.8004i	−0.311659	+	0.511022i
$957$		−	2.56658i		−	0.0829657i
$958$	7.20261	−	16.8139i	0.232706	−	0.543232i
$959$	2.44632	−	4.23715i	0.0789957	−	0.136825i
$960$	−0.0294385	−	0.0199567i	−0.000950123	−	0.000644101i
$961$			9.69794i			0.312837i
$962$	−1.90426	+	7.12837i	−0.0613959	+	0.229828i
$963$	9.91866	−	9.91866i	0.319624	−	0.319624i
$964$	−19.4867	−	0.468744i	−0.627626	−	0.0150972i
$965$	0.0163367	+	0.0609696i	0.000525898	+	0.00196268i
$966$	8.88023	+	22.1898i	0.285717	+	0.713945i
$967$	−29.4776	+	29.4776i	−0.947935	+	0.947935i	−0.998710	−	0.0507746i	$-0.983831\pi$
$967$	−29.4776	+	29.4776i	−0.947935	+	0.947935i	0.0507746	+	0.998710i	$0.483831\pi$
$968$	−14.2151	+	1.35200i	−0.456890	+	0.0434548i
$969$	−5.46319	−	1.46386i	−0.175503	−	0.0470259i
$970$	−0.0209757	+	0.0156981i	−0.000673489	+	0.000504036i
$971$	4.72253	−	17.6247i	0.151553	−	0.565605i	−0.847823	−	0.530280i	$-0.822087\pi$
$971$	4.72253	−	17.6247i	0.151553	−	0.565605i	0.999376	−	0.0353246i	$-0.0112465\pi$
$972$	−0.0480950	+	1.99942i	−0.00154265	+	0.0641315i
$973$	20.9020	+	12.0678i	0.670086	+	0.386874i
$974$	0.696209	+	0.930269i	0.0223080	+	0.0298077i
$975$	16.7422	+	6.68547i	0.536180	+	0.214106i
$976$	7.76470	+	35.7798i	0.248542	+	1.14528i
$977$	−5.46938	−	20.4120i	−0.174981	−	0.653038i	−0.996555	−	0.0829362i	$-0.973570\pi$
$977$	−5.46938	−	20.4120i	−0.174981	−	0.653038i	0.821574	−	0.570102i	$-0.193096\pi$
$978$	24.1074	−	2.87934i	0.770870	−	0.0920711i
$979$	−5.34522	+	19.9486i	−0.170834	+	0.637561i
$980$	0.0219390	+	0.00644782i	0.000700815	+	0.000205968i
$981$	−3.14576	+	1.81620i	−0.100436	+	0.0579870i
$982$	21.0089	−	49.0436i	0.670422	−	1.56504i
$983$	−20.5044	−	20.5044i	−0.653989	−	0.653989i	0.299962	−	0.953951i	$-0.403026\pi$
$983$	−20.5044	−	20.5044i	−0.653989	−	0.653989i	−0.953951	+	0.299962i	$0.903026\pi$
$984$	34.1612	−	3.24908i	1.08902	−	0.103577i
$985$	−0.0494738	+	0.0856912i	−0.00157637	+	0.00273035i
$986$	−2.43662	+	0.291024i	−0.0775977	+	0.00926810i
$987$	−3.50201	+	3.50201i	−0.111470	+	0.111470i
$988$	24.5517	−	2.95123i	0.781093	−	0.0938912i
$989$	−67.2835	−	67.2835i	−2.13949	−	2.13949i
$990$	0.00948278	−	0.0120552i	0.000301383	−	0.000383141i
$991$	15.6804	+	9.05306i	0.498103	+	0.287580i	0.727930	−	0.685652i	$-0.240483\pi$
$991$	15.6804	+	9.05306i	0.498103	+	0.287580i	−0.229827	+	0.973232i	$0.573816\pi$
$992$	20.2088	+	29.8988i	0.641632	+	0.949287i
$993$	2.39894	−	2.39894i	0.0761280	−	0.0761280i
$994$	−18.6407	+	7.45992i	−0.591248	+	0.236614i
$995$	0.0186565	+	0.0323140i	0.000591451	+	0.00102442i
$996$	2.99462	+	5.48750i	0.0948883	+	0.173878i
$997$	10.2321	+	2.74168i	0.324053	+	0.0868298i	0.417178	−	0.908825i	$-0.363019\pi$
$997$	10.2321	+	2.74168i	0.324053	+	0.0868298i	−0.0931252	+	0.995654i	$0.529686\pi$
$998$	14.2497	−	18.1153i	0.451065	−	0.573429i
$999$	−1.39770	+	0.374514i	−0.0442214	+	0.0118491i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	624.2.ch.a.19.11	✓	224
13.11	odd	12		624.2.cz.a.115.37	yes	224
16.11	odd	4		624.2.cz.a.331.37	yes	224
208.11	even	12	inner	624.2.ch.a.427.11	yes	224

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
624.2.ch.a.19.11	✓	224	1.1	even	1	trivial
624.2.ch.a.427.11	yes	224	208.11	even	12	inner
624.2.cz.a.115.37	yes	224	13.11	odd	12
624.2.cz.a.331.37	yes	224	16.11	odd	4

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 624 = 2^{4} \cdot 3 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	624.ch (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.11154 - 0.874348i) q^{2} +(0.258819 + 0.965926i) q^{3} +(0.471032 + 1.94374i) q^{4} -0.00444567i q^{5} +(0.556868 - 1.29996i) q^{6} +(0.544640 - 2.03262i) q^{7} +(1.17594 - 2.57239i) q^{8} +(-0.866025 + 0.500000i) q^{9} +O(q^{10})\)	\(q+(-1.11154 - 0.874348i) q^{2} +(0.258819 + 0.965926i) q^{3} +(0.471032 + 1.94374i) q^{4} -0.00444567i q^{5} +(0.556868 - 1.29996i) q^{6} +(0.544640 - 2.03262i) q^{7} +(1.17594 - 2.57239i) q^{8} +(-0.866025 + 0.500000i) q^{9} +(-0.00388706 + 0.00494153i) q^{10} +(2.11274 + 1.21979i) q^{11} +(-1.75560 + 0.958059i) q^{12} +(2.15818 - 2.88830i) q^{13} +(-2.38261 + 1.78313i) q^{14} +(0.00429419 - 0.00115062i) q^{15} +(-3.55626 + 1.83113i) q^{16} +(-1.42836 + 0.824666i) q^{17} +(1.39979 + 0.201438i) q^{18} +(2.96979 - 1.71461i) q^{19} +(0.00864123 - 0.00209405i) q^{20} +2.10433 q^{21} +(-1.28187 - 3.20311i) q^{22} +(-6.95527 - 4.01562i) q^{23} +(2.78909 + 0.470084i) q^{24} +4.99998 q^{25} +(-4.92428 + 1.32345i) q^{26} +(-0.707107 - 0.707107i) q^{27} +(4.20744 + 0.101208i) q^{28} +(-1.01621 + 0.272293i) q^{29} +(-0.00577920 - 0.00247565i) q^{30} +(4.51098 + 4.51098i) q^{31} +(5.55396 + 1.07404i) q^{32} +(-0.631409 + 2.35645i) q^{33} +(2.30872 + 0.332239i) q^{34} +(-0.00903637 - 0.00242129i) q^{35} +(-1.37980 - 1.44781i) q^{36} +(0.723505 - 1.25315i) q^{37} +(-4.80019 - 0.690776i) q^{38} +(3.34846 + 1.33710i) q^{39} +(-0.0114360 - 0.00522782i) q^{40} +(11.7189 - 3.14007i) q^{41} +(-2.33904 - 1.83991i) q^{42} +(11.4442 + 3.06645i) q^{43} +(-1.37579 + 4.68117i) q^{44} +(0.00222283 + 0.00385006i) q^{45} +(4.21999 + 10.5448i) q^{46} +(-1.66420 + 1.66420i) q^{47} +(-2.68916 - 2.96115i) q^{48} +(2.22725 + 1.28591i) q^{49} +(-5.55767 - 4.37172i) q^{50} +(-1.16625 - 1.16625i) q^{51} +(6.63067 + 2.83447i) q^{52} +(6.37018 - 6.37018i) q^{53} +(0.167719 + 1.40423i) q^{54} +(0.00542278 - 0.00939252i) q^{55} +(-4.58823 - 3.79126i) q^{56} +(2.42482 + 2.42482i) q^{57} +(1.36764 + 0.585858i) q^{58} +(-8.62295 + 4.97846i) q^{59} +(0.00425922 + 0.00780481i) q^{60} +(2.36901 - 8.84128i) q^{61} +(-1.06996 - 8.95830i) q^{62} +(0.544640 + 2.03262i) q^{63} +(-5.23435 - 6.04992i) q^{64} +(-0.0128404 - 0.00959457i) q^{65} +(2.76219 - 2.06721i) q^{66} +(-12.8350 - 7.41027i) q^{67} +(-2.27574 - 2.38792i) q^{68} +(2.07864 - 7.75759i) q^{69} +(0.00792722 + 0.0105923i) q^{70} +(6.51684 + 1.74618i) q^{71} +(0.267804 + 2.81572i) q^{72} +(-4.07721 + 4.07721i) q^{73} +(-1.89989 + 0.760326i) q^{74} +(1.29409 + 4.82961i) q^{75} +(4.73162 + 4.96486i) q^{76} +(3.63005 - 3.63005i) q^{77} +(-2.55285 - 4.41395i) q^{78} +5.60400i q^{79} +(0.00814059 + 0.0158099i) q^{80} +(0.500000 - 0.866025i) q^{81} +(-15.7715 - 6.75609i) q^{82} -3.12572i q^{83} +(0.991205 + 4.09026i) q^{84} +(0.00366619 + 0.00635003i) q^{85} +(-10.0395 - 13.4147i) q^{86} +(-0.526029 - 0.911110i) q^{87} +(5.62221 - 4.00038i) q^{88} +(2.19104 + 8.17708i) q^{89} +(0.000895529 - 0.00622302i) q^{90} +(-4.69538 - 5.95985i) q^{91} +(4.52918 - 15.4107i) q^{92} +(-3.18975 + 5.52480i) q^{93} +(3.30490 - 0.394730i) q^{94} +(-0.00762258 - 0.0132027i) q^{95} +(0.400030 + 5.64269i) q^{96} +(4.02516 + 1.07854i) q^{97} +(-1.35135 - 3.37673i) q^{98} -2.43958 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 224 q+O(q^{10}) \) 224 * q	\( 224 q - 8 q^{10} - 32 q^{14} - 48 q^{16} - 12 q^{20} + 8 q^{22} + 12 q^{24} - 224 q^{25} - 16 q^{26} - 52 q^{28} + 40 q^{32} + 64 q^{34} - 40 q^{38} - 40 q^{40} - 16 q^{43} + 24 q^{44} + 16 q^{46} - 16 q^{50} - 16 q^{52} - 32 q^{55} - 20 q^{56} - 32 q^{58} + 96 q^{59} - 64 q^{60} - 24 q^{68} - 48 q^{70} + 64 q^{71} - 16 q^{73} + 96 q^{74} - 16 q^{75} + 76 q^{76} - 24 q^{78} + 100 q^{80} + 112 q^{81} + 48 q^{82} - 64 q^{86} - 60 q^{88} - 16 q^{89} + 40 q^{91} - 48 q^{92} + 64 q^{94} - 56 q^{98}+O(q^{100}) \) 224 * q - 8 * q^10 - 32 * q^14 - 48 * q^16 - 12 * q^20 + 8 * q^22 + 12 * q^24 - 224 * q^25 - 16 * q^26 - 52 * q^28 + 40 * q^32 + 64 * q^34 - 40 * q^38 - 40 * q^40 - 16 * q^43 + 24 * q^44 + 16 * q^46 - 16 * q^50 - 16 * q^52 - 32 * q^55 - 20 * q^56 - 32 * q^58 + 96 * q^59 - 64 * q^60 - 24 * q^68 - 48 * q^70 + 64 * q^71 - 16 * q^73 + 96 * q^74 - 16 * q^75 + 76 * q^76 - 24 * q^78 + 100 * q^80 + 112 * q^81 + 48 * q^82 - 64 * q^86 - 60 * q^88 - 16 * q^89 + 40 * q^91 - 48 * q^92 + 64 * q^94 - 56 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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