LMFDB - Embedded newform 230.2.l.a.67.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [230,2,Mod(7,230)]

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

lf = mfeigenbasis(mf)

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")

//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);

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

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

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

Embedding invariants

Embedding label			67.10
Character	$\chi$	$=$	230.67
Dual form			230.2.l.a.103.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.212565 + 0.977147i) q^{2} +(0.521893 + 0.390684i) q^{3} +(-0.909632 + 0.415415i) q^{4} +(-0.172358 + 2.22942i) q^{5} +(-0.270819 + 0.593012i) q^{6} +(0.196919 + 2.75328i) q^{7} +(-0.599278 - 0.800541i) q^{8} +(-0.725460 - 2.47069i) q^{9} +O(q^{10})$	\(q+(0.212565 + 0.977147i) q^{2} +(0.521893 + 0.390684i) q^{3} +(-0.909632 + 0.415415i) q^{4} +(-0.172358 + 2.22942i) q^{5} +(-0.270819 + 0.593012i) q^{6} +(0.196919 + 2.75328i) q^{7} +(-0.599278 - 0.800541i) q^{8} +(-0.725460 - 2.47069i) q^{9} +(-2.21510 + 0.305477i) q^{10} +(-0.171272 - 0.266505i) q^{11} +(-0.637026 - 0.138577i) q^{12} +(-0.610881 - 0.0436911i) q^{13} +(-2.64850 + 0.777670i) q^{14} +(-0.960949 + 1.09618i) q^{15} +(0.654861 - 0.755750i) q^{16} +(0.930625 + 2.49510i) q^{17} +(2.26002 - 1.23406i) q^{18} +(1.33902 + 2.93205i) q^{19} +(-0.769350 - 2.09955i) q^{20} +(-0.972892 + 1.51385i) q^{21} +(0.224008 - 0.224008i) q^{22} +(4.61891 + 1.29062i) q^{23} -0.651925i q^{24} +(-4.94059 - 0.768515i) q^{25} +(-0.0871595 - 0.606208i) q^{26} +(1.27012 - 3.40532i) q^{27} +(-1.32288 - 2.42267i) q^{28} +(5.55597 + 2.53733i) q^{29} +(-1.27539 - 0.705979i) q^{30} +(1.29230 - 8.98814i) q^{31} +(0.877679 + 0.479249i) q^{32} +(0.0147334 - 0.206000i) q^{33} +(-2.24026 + 1.43973i) q^{34} +(-6.17215 - 0.0355368i) q^{35} +(1.68626 + 1.94605i) q^{36} +(1.15696 - 2.11882i) q^{37} +(-2.58041 + 1.93167i) q^{38} +(-0.301745 - 0.261463i) q^{39} +(1.88803 - 1.19806i) q^{40} +(-7.62326 - 2.23839i) q^{41} +(-1.68606 - 0.628867i) q^{42} +(6.26113 - 8.36389i) q^{43} +(0.266505 + 0.171272i) q^{44} +(5.63323 - 1.19151i) q^{45} +(-0.279308 + 4.78769i) q^{46} +(4.91328 + 4.91328i) q^{47} +(0.637026 - 0.138577i) q^{48} +(-0.613031 + 0.0881405i) q^{49} +(-0.299245 - 4.99104i) q^{50} +(-0.489110 + 1.66576i) q^{51} +(0.573827 - 0.214026i) q^{52} +(5.77904 - 0.413325i) q^{53} +(3.59748 + 0.517240i) q^{54} +(0.623671 - 0.335903i) q^{55} +(2.08611 - 1.80762i) q^{56} +(-0.446679 + 2.05335i) q^{57} +(-1.29834 + 5.96835i) q^{58} +(-3.03630 + 2.63097i) q^{59} +(0.418741 - 1.39631i) q^{60} +(-10.7039 - 1.53899i) q^{61} +(9.05743 - 0.647801i) q^{62} +(6.65964 - 2.48392i) q^{63} +(-0.281733 + 0.959493i) q^{64} +(0.202696 - 1.35438i) q^{65} +(0.204424 - 0.0293918i) q^{66} +(7.50837 - 1.63335i) q^{67} +(-1.88303 - 1.88303i) q^{68} +(1.90635 + 2.47810i) q^{69} +(-1.27726 - 6.03865i) q^{70} +(7.02619 + 4.51545i) q^{71} +(-1.54314 + 2.06139i) q^{72} +(-9.02358 - 3.36562i) q^{73} +(2.31633 + 0.680136i) q^{74} +(-2.27821 - 2.33129i) q^{75} +(-2.43603 - 2.11083i) q^{76} +(0.700037 - 0.524041i) q^{77} +(0.191348 - 0.350427i) q^{78} +(-4.91108 - 5.66768i) q^{79} +(1.57201 + 1.59022i) q^{80} +(-4.50540 + 2.89544i) q^{81} +(0.566796 - 7.92485i) q^{82} +(0.897247 + 0.489934i) q^{83} +(0.256098 - 1.78120i) q^{84} +(-5.72302 + 1.64470i) q^{85} +(9.50365 + 4.34017i) q^{86} +(1.90833 + 3.49484i) q^{87} +(-0.110709 + 0.296821i) q^{88} +(-0.532679 - 3.70486i) q^{89} +(2.36171 + 5.25122i) q^{90} -1.69053i q^{91} +(-4.73765 + 0.744772i) q^{92} +(4.18596 - 4.18596i) q^{93} +(-3.75660 + 5.84539i) q^{94} +(-6.76754 + 2.47987i) q^{95} +(0.270819 + 0.593012i) q^{96} +(-10.5739 + 5.77381i) q^{97} +(-0.216435 - 0.580286i) q^{98} +(-0.534200 + 0.616500i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 8 q^{3} - 8 q^{6}+O(q^{10}) $ 240 * q - 8 * q^3 - 8 * q^6	$ 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}+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

Display 100 coefficients 10 coefficients

Character values

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

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

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.212565	+	0.977147i	0.150306	+	0.690947i
$2$	0.212565	+	0.977147i	0.150306	+	0.690947i
$3$	0.521893	+	0.390684i	0.301315	+	0.225561i	0.739227	−	0.673456i	$-0.235191\pi$
$3$	0.521893	+	0.390684i	0.301315	+	0.225561i	−0.437912	+	0.899018i	$0.644282\pi$
$4$	−0.909632	+	0.415415i	−0.454816	+	0.207708i
$5$	−0.172358	+	2.22942i	−0.0770808	+	0.997025i
$5$	−0.172358	+	2.22942i	−0.0770808	+	0.997025i
$6$	−0.270819	+	0.593012i	−0.110562	+	0.242096i
$7$	0.196919	+	2.75328i	0.0744282	+	1.04064i	0.888200	+	0.459458i	$0.151956\pi$
$7$	0.196919	+	2.75328i	0.0744282	+	1.04064i	−0.813772	+	0.581185i	$0.802589\pi$
$8$	−0.599278	−	0.800541i	−0.211877	−	0.283034i
$9$	−0.725460	−	2.47069i	−0.241820	−	0.823563i
$10$	−2.21510	+	0.305477i	−0.700477	+	0.0966004i
$11$	−0.171272	−	0.266505i	−0.0516406	−	0.0803543i	0.814473	−	0.580201i	$-0.197026\pi$
$11$	−0.171272	−	0.266505i	−0.0516406	−	0.0803543i	−0.866114	+	0.499847i	$0.833390\pi$
$12$	−0.637026	−	0.138577i	−0.183894	−	0.0400036i
$13$	−0.610881	−	0.0436911i	−0.169428	−	0.0121177i	−0.0136325	−	0.999907i	$-0.504339\pi$
$13$	−0.610881	−	0.0436911i	−0.169428	−	0.0121177i	−0.155795	+	0.987789i	$0.549794\pi$
$14$	−2.64850	+	0.777670i	−0.707842	+	0.207841i
$15$	−0.960949	+	1.09618i	−0.248116	+	0.283032i
$16$	0.654861	−	0.755750i	0.163715	−	0.188937i
$17$	0.930625	+	2.49510i	0.225710	+	0.605151i	0.999603	−	0.0281645i	$-0.00896622\pi$
$17$	0.930625	+	2.49510i	0.225710	+	0.605151i	−0.773894	+	0.633316i	$0.781693\pi$
$18$	2.26002	−	1.23406i	0.532691	−	0.290872i
$19$	1.33902	+	2.93205i	0.307193	+	0.672658i	0.998767	−	0.0496475i	$-0.0158098\pi$
$19$	1.33902	+	2.93205i	0.307193	+	0.672658i	−0.691574	+	0.722305i	$0.743083\pi$
$20$	−0.769350	−	2.09955i	−0.172032	−	0.469473i
$21$	−0.972892	+	1.51385i	−0.212303	+	0.330349i
$22$	0.224008	−	0.224008i	0.0477587	−	0.0477587i
$23$	4.61891	+	1.29062i	0.963109	+	0.269113i
$23$	4.61891	+	1.29062i	0.963109	+	0.269113i
$24$		−	0.651925i		−	0.133074i
$25$	−4.94059	−	0.768515i	−0.988117	−	0.153703i
$26$	−0.0871595	−	0.606208i	−0.0170934	−	0.118887i
$27$	1.27012	−	3.40532i	0.244435	−	0.655354i
$28$	−1.32288	−	2.42267i	−0.250000	−	0.457842i
$29$	5.55597	+	2.53733i	1.03172	+	0.471170i	0.858013	−	0.513628i	$-0.171699\pi$
$29$	5.55597	+	2.53733i	1.03172	+	0.471170i	0.173705	+	0.984798i	$0.444426\pi$
$30$	−1.27539	−	0.705979i	−0.232854	−	0.128894i
$31$	1.29230	−	8.98814i	0.232104	−	1.61432i	−0.456871	−	0.889533i	$-0.651030\pi$
$31$	1.29230	−	8.98814i	0.232104	−	1.61432i	0.688975	−	0.724785i	$-0.258061\pi$
$32$	0.877679	+	0.479249i	0.155153	+	0.0847201i
$33$	0.0147334	−	0.206000i	0.00256476	−	0.0358601i
$34$	−2.24026	+	1.43973i	−0.384202	+	0.246912i
$35$	−6.17215	−	0.0355368i	−1.04328	−	0.00600682i
$36$	1.68626	+	1.94605i	0.281044	+	0.324342i
$37$	1.15696	−	2.11882i	0.190204	−	0.348332i	−0.765123	−	0.643884i	$-0.777322\pi$
$37$	1.15696	−	2.11882i	0.190204	−	0.348332i	0.955327	+	0.295552i	$0.0955036\pi$
$38$	−2.58041	+	1.93167i	−0.418598	+	0.313359i
$39$	−0.301745	−	0.261463i	−0.0483178	−	0.0418676i
$40$	1.88803	−	1.19806i	0.298524	−	0.189430i
$41$	−7.62326	−	2.23839i	−1.19055	−	0.349578i	−0.374320	−	0.927300i	$-0.622124\pi$
$41$	−7.62326	−	2.23839i	−1.19055	−	0.349578i	−0.816234	+	0.577722i	$0.803942\pi$
$42$	−1.68606	−	0.628867i	−0.260164	−	0.0970362i
$43$	6.26113	−	8.36389i	0.954814	−	1.27548i	−0.00648654	−	0.999979i	$-0.502065\pi$
$43$	6.26113	−	8.36389i	0.954814	−	1.27548i	0.961300	−	0.275503i	$-0.0888443\pi$
$44$	0.266505	+	0.171272i	0.0401772	+	0.0258203i
$45$	5.63323	−	1.19151i	0.839752	−	0.177620i
$46$	−0.279308	+	4.78769i	−0.0411818	+	0.705907i
$47$	4.91328	+	4.91328i	0.716675	+	0.716675i	0.967923	−	0.251248i	$-0.0808409\pi$
$47$	4.91328	+	4.91328i	0.716675	+	0.716675i	−0.251248	+	0.967923i	$0.580841\pi$
$48$	0.637026	−	0.138577i	0.0919468	−	0.0200018i
$49$	−0.613031	+	0.0881405i	−0.0875758	+	0.0125915i
$50$	−0.299245	−	4.99104i	−0.0423196	−	0.705839i
$51$	−0.489110	+	1.66576i	−0.0684891	+	0.233252i
$52$	0.573827	−	0.214026i	0.0795755	−	0.0296801i
$53$	5.77904	−	0.413325i	0.793812	−	0.0567746i	0.331458	−	0.943470i	$-0.392459\pi$
$53$	5.77904	−	0.413325i	0.793812	−	0.0567746i	0.462354	+	0.886695i	$0.347005\pi$
$54$	3.59748	+	0.517240i	0.489555	+	0.0703874i
$55$	0.623671	−	0.335903i	0.0840957	−	0.0452932i
$56$	2.08611	−	1.80762i	0.278768	−	0.241554i
$57$	−0.446679	+	2.05335i	−0.0591640	+	0.271973i
$58$	−1.29834	+	5.96835i	−0.170480	+	0.783683i
$59$	−3.03630	+	2.63097i	−0.395292	+	0.342523i	−0.829716	−	0.558186i	$-0.811498\pi$
$59$	−3.03630	+	2.63097i	−0.395292	+	0.342523i	0.434424	+	0.900709i	$0.356952\pi$
$60$	0.418741	−	1.39631i	0.0540593	−	0.180263i
$61$	−10.7039	−	1.53899i	−1.37050	−	0.197048i	−0.582553	−	0.812793i	$-0.697946\pi$
$61$	−10.7039	−	1.53899i	−1.37050	−	0.197048i	−0.787945	+	0.615745i	$0.788855\pi$
$62$	9.05743	−	0.647801i	1.15030	−	0.0822707i
$63$	6.65964	−	2.48392i	0.839036	−	0.312944i
$64$	−0.281733	+	0.959493i	−0.0352166	+	0.119937i
$65$	0.202696	−	1.35438i	0.0251413	−	0.167990i
$66$	0.204424	−	0.0293918i	0.0251629	−	0.00361788i
$67$	7.50837	−	1.63335i	0.917294	−	0.199545i	0.270952	−	0.962593i	$-0.412662\pi$
$67$	7.50837	−	1.63335i	0.917294	−	0.199545i	0.646342	+	0.763048i	$0.276298\pi$
$68$	−1.88303	−	1.88303i	−0.228351	−	0.228351i
$69$	1.90635	+	2.47810i	0.229497	+	0.298328i
$70$	−1.27726	−	6.03865i	−0.152662	−	0.721757i
$71$	7.02619	+	4.51545i	0.833855	+	0.535886i	0.886501	−	0.462727i	$-0.153129\pi$
$71$	7.02619	+	4.51545i	0.833855	+	0.535886i	−0.0526459	+	0.998613i	$0.516765\pi$
$72$	−1.54314	+	2.06139i	−0.181860	+	0.242937i
$73$	−9.02358	−	3.36562i	−1.05613	−	0.393916i	−0.239391	−	0.970923i	$-0.576948\pi$
$73$	−9.02358	−	3.36562i	−1.05613	−	0.393916i	−0.816739	+	0.577007i	$0.804220\pi$
$74$	2.31633	+	0.680136i	0.269268	+	0.0790642i
$75$	−2.27821	−	2.33129i	−0.263065	−	0.269194i
$76$	−2.43603	−	2.11083i	−0.279432	−	0.242129i
$77$	0.700037	−	0.524041i	0.0797766	−	0.0597200i
$78$	0.191348	−	0.350427i	0.0216659	−	0.0396781i
$79$	−4.91108	−	5.66768i	−0.552539	−	0.637664i	0.408934	−	0.912564i	$-0.365901\pi$
$79$	−4.91108	−	5.66768i	−0.552539	−	0.637664i	−0.961473	+	0.274900i	$0.911355\pi$
$80$	1.57201	+	1.59022i	0.175756	+	0.177792i
$81$	−4.50540	+	2.89544i	−0.500600	+	0.321716i
$82$	0.566796	−	7.92485i	0.0625922	−	0.875153i
$83$	0.897247	+	0.489934i	0.0984857	+	0.0537772i	0.527737	−	0.849408i	$-0.323041\pi$
$83$	0.897247	+	0.489934i	0.0984857	+	0.0537772i	−0.429251	+	0.903185i	$0.641223\pi$
$84$	0.256098	−	1.78120i	0.0279426	−	0.194345i
$85$	−5.72302	+	1.64470i	−0.620749	+	0.178393i
$86$	9.50365	+	4.34017i	1.02481	+	0.468013i
$87$	1.90833	+	3.49484i	0.204594	+	0.374686i
$88$	−0.110709	+	0.296821i	−0.0118016	+	0.0316412i
$89$	−0.532679	−	3.70486i	−0.0564638	−	0.392715i	−0.998382	−	0.0568709i	$-0.981888\pi$
$89$	−0.532679	−	3.70486i	−0.0564638	−	0.392715i	0.941918	−	0.335844i	$-0.109021\pi$
$90$	2.36171	+	5.25122i	0.248946	+	0.553527i
$91$		−	1.69053i		−	0.177216i
$92$	−4.73765	+	0.744772i	−0.493934	+	0.0776478i
$93$	4.18596	−	4.18596i	0.434064	−	0.434064i
$94$	−3.75660	+	5.84539i	−0.387464	+	0.602905i
$95$	−6.76754	+	2.47987i	−0.694335	+	0.254430i
$96$	0.270819	+	0.593012i	0.0276404	+	0.0605240i
$97$	−10.5739	+	5.77381i	−1.07362	+	0.586241i	−0.915967	−	0.401253i	$-0.868575\pi$
$97$	−10.5739	+	5.77381i	−1.07362	+	0.586241i	−0.157654	+	0.987494i	$0.550393\pi$
$98$	−0.216435	−	0.580286i	−0.0218633	−	0.0586177i
$99$	−0.534200	+	0.616500i	−0.0536891	+	0.0619605i
$100$	4.81337	−	1.35333i	0.481337	−	0.135333i
$101$	−8.74877	+	2.56887i	−0.870535	+	0.255612i	−0.686343	−	0.727278i	$-0.740785\pi$
$101$	−8.74877	+	2.56887i	−0.870535	+	0.255612i	−0.184192	+	0.982890i	$0.558967\pi$
$102$	−1.73166	−	0.123850i	−0.171459	−	0.0122630i
$103$	4.51246	+	0.981625i	0.444626	+	0.0967224i	0.429304	−	0.903160i	$-0.358759\pi$
$103$	4.51246	+	0.981625i	0.444626	+	0.0967224i	0.0153220	+	0.999883i	$0.495123\pi$
$104$	0.331111	+	0.515218i	0.0324681	+	0.0505213i
$105$	−3.20731	−	2.42991i	−0.313002	−	0.237134i
$106$	1.63230	+	5.55911i	0.158543	+	0.539949i
$107$	2.96493	+	3.96069i	0.286631	+	0.382894i	0.920628	−	0.390442i	$-0.127678\pi$
$107$	2.96493	+	3.96069i	0.286631	+	0.382894i	−0.633997	+	0.773336i	$0.718587\pi$
$108$	0.259281	+	3.62522i	0.0249493	+	0.348837i
$109$	−3.31324	+	7.25499i	−0.317351	+	0.694902i	−0.999335	−	0.0364655i	$-0.988390\pi$
$109$	−3.31324	+	7.25499i	−0.317351	+	0.694902i	0.681984	+	0.731367i	$0.261117\pi$
$110$	0.460797	+	0.538017i	0.0439353	+	0.0512979i
$111$	1.43160	−	0.653790i	0.135882	−	0.0620550i
$112$	2.20975	+	1.65419i	0.208801	+	0.156307i
$113$	−1.30428	−	5.99568i	−0.122696	−	0.564026i	−0.996915	−	0.0784929i	$-0.974989\pi$
$113$	−1.30428	−	5.99568i	−0.122696	−	0.564026i	0.874218	−	0.485533i	$-0.161374\pi$
$114$	−2.10137			−0.196811
$115$	−3.67344	+	10.0750i	−0.342550	+	0.939500i
$116$	−6.10794			−0.567108
$117$	0.335222	+	1.54099i	0.0309913	+	0.142465i
$118$	−3.21625	−	2.40766i	−0.296080	−	0.221643i
$119$	−6.68646	+	3.05360i	−0.612947	+	0.279923i
$120$	1.45341	+	0.112364i	0.132678	+	0.0102574i
$121$	4.52787	−	9.91466i	0.411625	−	0.901333i
$122$	−0.771462	−	10.7865i	−0.0698449	−	0.976559i
$123$	−3.10402	−	4.14648i	−0.279880	−	0.373876i
$124$	2.55829	+	8.71274i	0.229741	+	0.782428i
$125$	2.56489	−	10.8822i	0.229411	−	0.973330i
$126$	3.84276	+	5.97946i	0.342341	+	0.532692i
$127$	−13.1458	−	2.85969i	−1.16650	−	0.253757i	−0.412704	−	0.910865i	$-0.635416\pi$
$127$	−13.1458	−	2.85969i	−1.16650	−	0.253757i	−0.753796	+	0.657109i	$0.771779\pi$
$128$	−0.997452	−	0.0713392i	−0.0881631	−	0.00630555i
$129$	6.53528	−	1.91893i	0.575399	−	0.168952i
$130$	1.36651	−	0.0898300i	0.119851	−	0.00787861i
$131$	−7.65537	+	8.83477i	−0.668853	+	0.771897i	−0.984196	−	0.177080i	$-0.943335\pi$
$131$	−7.65537	+	8.83477i	−0.668853	+	0.771897i	0.315344	+	0.948978i	$0.397880\pi$
$132$	0.0721737	+	0.193505i	0.00628191	+	0.0168425i
$133$	−7.80907	+	4.26408i	−0.677133	+	0.369742i
$134$	3.19204	+	6.98959i	0.275750	+	0.603809i
$135$	7.37296	+	3.41856i	0.634563	+	0.294223i
$136$	1.43973	−	2.24026i	0.123456	−	0.192101i
$137$	−12.9973	+	12.9973i	−1.11044	+	1.11044i	−0.117346	+	0.993091i	$0.537439\pi$
$137$	−12.9973	+	12.9973i	−1.11044	+	1.11044i	−0.993091	+	0.117346i	$0.962561\pi$
$138$	−2.01624	+	2.38954i	−0.171634	+	0.203411i
$139$			6.25498i			0.530540i	0.964174	+	0.265270i	$0.0854612\pi$
$139$			6.25498i			0.530540i	−0.964174	+	0.265270i	$0.914539\pi$
$140$	5.62915	−	2.53168i	0.475750	−	0.213966i
$141$	0.644665	+	4.48374i	0.0542906	+	0.377599i
$142$	−2.91874	+	7.82544i	−0.244935	+	0.656697i
$143$	0.0929832	+	0.170286i	0.00777564	+	0.0142400i
$144$	−2.34230	−	1.06969i	−0.195191	−	0.0891409i
$145$	−6.61438	+	11.9492i	−0.549294	+	0.992331i
$146$	1.37061	−	9.53277i	0.113432	−	0.788938i
$147$	−0.354371	−	0.193501i	−0.0292281	−	0.0159597i
$148$	−0.172221	+	2.40797i	−0.0141565	+	0.197934i
$149$	16.6602	−	10.7069i	1.36486	−	0.877141i	0.366283	−	0.930504i	$-0.380630\pi$
$149$	16.6602	−	10.7069i	1.36486	−	0.877141i	0.998575	+	0.0533626i	$0.0169939\pi$
$150$	1.79374	−	2.72170i	0.146459	−	0.222226i
$151$	−3.91387	−	4.51685i	−0.318506	−	0.367576i	0.573808	−	0.818990i	$-0.305465\pi$
$151$	−3.91387	−	4.51685i	−0.318506	−	0.367576i	−0.892315	+	0.451413i	$0.850920\pi$
$152$	1.54478	−	2.82905i	0.125298	−	0.229466i
$153$	5.48949	−	4.10938i	0.443799	−	0.332224i
$154$	0.660868	+	0.572646i	0.0532543	+	0.0461451i
$155$	19.8156	+	4.43025i	1.59162	+	0.355846i
$156$	0.383093	+	0.112486i	0.0306720	+	0.00900610i
$157$	−13.3732	−	4.98794i	−1.06730	−	0.398081i	−0.246406	−	0.969167i	$-0.579250\pi$
$157$	−13.3732	−	4.98794i	−1.06730	−	0.398081i	−0.820891	+	0.571085i	$0.806522\pi$
$158$	4.49423	−	6.00359i	0.357542	−	0.477620i
$159$	3.17752	+	2.04207i	0.251994	+	0.161946i
$160$	−1.21972	+	1.87411i	−0.0964273	+	0.148161i
$161$	−2.64390	+	12.9713i	−0.208368	+	1.02228i
$162$	−3.78697	−	3.78697i	−0.297532	−	0.297532i
$163$	11.5926	−	2.52181i	0.908002	−	0.197524i	0.265772	−	0.964036i	$-0.414373\pi$
$163$	11.5926	−	2.52181i	0.908002	−	0.197524i	0.642230	+	0.766512i	$0.278010\pi$
$164$	7.86422	−	1.13070i	0.614093	−	0.0882932i
$165$	0.456721	+	0.0683528i	0.0355557	+	0.00532126i
$166$	−0.288014	+	0.980885i	−0.0223542	+	0.0761314i
$167$	12.5211	−	4.67014i	0.968914	−	0.361386i	0.185333	−	0.982676i	$-0.440664\pi$
$167$	12.5211	−	4.67014i	0.968914	−	0.361386i	0.783581	+	0.621290i	$0.213391\pi$
$168$	1.79493	−	0.128376i	0.138482	−	0.00990443i
$169$	−12.4964	−	1.79671i	−0.961262	−	0.138209i
$170$	−2.82363	−	5.24262i	−0.216562	−	0.402091i
$171$	6.27277	−	5.43539i	0.479691	−	0.415654i
$172$	−2.22084	+	10.2090i	−0.169337	+	0.778432i
$173$	−2.47939	+	11.3976i	−0.188504	+	0.866541i	0.781586	+	0.623797i	$0.214411\pi$
$173$	−2.47939	+	11.3976i	−0.188504	+	0.866541i	−0.970091	+	0.242743i	$0.921953\pi$
$174$	−3.00933	+	2.60760i	−0.228137	+	0.197682i
$175$	1.14305	−	13.7542i	0.0864061	−	1.03972i
$176$	−0.313571	−	0.0450847i	−0.0236363	−	0.00339838i
$177$	−2.61250	+	0.186849i	−0.196367	+	0.0140445i
$178$	3.50697	−	1.30803i	0.262858	−	0.0980410i
$179$	2.86500	−	9.75728i	0.214140	−	0.729293i	−0.780432	−	0.625241i	$-0.785001\pi$
$179$	2.86500	−	9.75728i	0.214140	−	0.729293i	0.994572	−	0.104053i	$-0.0331810\pi$
$180$	−4.62920	+	3.42396i	−0.345040	+	0.255207i
$181$	17.5918	−	2.52932i	1.30759	−	0.188003i	0.546942	−	0.837170i	$-0.315792\pi$
$181$	17.5918	−	2.52932i	1.30759	−	0.188003i	0.760646	+	0.649167i	$0.224883\pi$
$182$	1.65190	−	0.359348i	0.122447	−	0.0266367i
$183$	−4.98504	−	4.98504i	−0.368505	−	0.368505i
$184$	−1.73481	−	4.47107i	−0.127892	−	0.329611i
$185$	4.52432	+	2.94455i	0.332635	+	0.216488i
$186$	4.98009	+	3.20051i	0.365158	+	0.234673i
$187$	0.505567	−	0.675358i	0.0369707	−	0.0493871i
$188$	−6.51032	−	2.42822i	−0.474814	−	0.177097i
$189$	9.62592	+	2.82642i	0.700183	+	0.205592i
$190$	−3.86174	−	6.08575i	−0.280160	−	0.441507i
$191$	−10.0659	−	8.72213i	−0.728341	−	0.631111i	0.209648	−	0.977777i	$-0.432768\pi$
$191$	−10.0659	−	8.72213i	−0.728341	−	0.631111i	−0.937989	+	0.346666i	$0.887314\pi$
$192$	−0.521893	+	0.390684i	−0.0376644	+	0.0281952i
$193$	−11.1731	+	20.4619i	−0.804255	+	1.47288i	0.0753387	+	0.997158i	$0.475996\pi$
$193$	−11.1731	+	20.4619i	−0.804255	+	1.47288i	−0.879594	+	0.475725i	$0.842186\pi$
$194$	−7.88951	−	9.10498i	−0.566434	−	0.653699i
$195$	0.634919	−	0.627649i	0.0454675	−	0.0449469i
$196$	0.521018	−	0.334838i	0.0372155	−	0.0239170i
$197$	1.16021	−	16.2218i	0.0826614	−	1.15576i	−0.771668	−	0.636025i	$-0.780577\pi$
$197$	1.16021	−	16.2218i	0.0826614	−	1.15576i	0.854330	−	0.519732i	$-0.173968\pi$
$198$	−0.715963	−	0.390945i	−0.0508813	−	0.0277833i
$199$	1.06727	−	7.42305i	0.0756570	−	0.526206i	−0.916385	−	0.400298i	$-0.868907\pi$
$199$	1.06727	−	7.42305i	0.0756570	−	0.526206i	0.992042	−	0.125908i	$-0.0401843\pi$
$200$	2.34555	+	4.41570i	0.165856	+	0.312237i
$201$	4.55669	+	2.08097i	0.321404	+	0.146780i
$202$	−4.36985	−	8.00278i	−0.307461	−	0.563073i
$203$	−5.89190	+	15.7968i	−0.413531	+	1.10872i
$204$	−0.247070	−	1.71841i	−0.0172983	−	0.120313i
$205$	6.30423	−	16.6096i	0.440307	−	1.16007i
$206$			4.61799i			0.321751i
$207$	−0.162104	−	12.3482i	−0.0112670	−	0.858257i
$208$	−0.433061	+	0.433061i	−0.0300274	+	0.0300274i
$209$	0.552068	−	0.859035i	0.0381874	−	0.0594207i
$210$	1.69261	−	3.65053i	0.116801	−	0.251911i
$211$	−9.66421	−	21.1617i	−0.665312	−	1.45683i	−0.877488	−	0.479598i	$-0.840783\pi$
$211$	−9.66421	−	21.1617i	−0.665312	−	1.45683i	0.212177	−	0.977231i	$-0.431945\pi$
$212$	−5.08510	+	2.77667i	−0.349246	+	0.190703i
$213$	1.90280	+	5.10160i	0.130378	+	0.349556i
$214$	−3.23993	+	3.73908i	−0.221477	+	0.255598i
$215$	17.5674	+	15.4002i	1.19809	+	1.05029i
$216$	−3.48725	+	1.02395i	−0.237278	+	0.0696710i
$217$	25.0014	+	1.78813i	1.69720	+	0.121386i
$218$	−7.79347	−	1.69536i	−0.527840	−	0.114825i
$219$	−3.39444	−	5.28186i	−0.229375	−	0.356915i
$220$	−0.427772	+	0.564630i	−0.0288404	+	0.0380674i
$221$	−0.459487	−	1.56487i	−0.0309085	−	0.105265i
$222$	0.943158	+	1.25991i	0.0633006	+	0.0845597i
$223$	0.472013	+	6.59961i	0.0316083	+	0.441942i	0.988472	+	0.151405i	$0.0483796\pi$
$223$	0.472013	+	6.59961i	0.0316083	+	0.441942i	−0.956864	+	0.290538i	$0.906166\pi$
$224$	−1.14668	+	2.51087i	−0.0766155	+	0.167765i
$225$	1.68543	+	12.7642i	0.112362	+	0.850945i
$226$	5.58141	−	2.54895i	0.371270	−	0.169553i
$227$	11.0560	+	8.27641i	0.733812	+	0.549325i	0.899536	−	0.436847i	$-0.143905\pi$
$227$	11.0560	+	8.27641i	0.733812	+	0.549325i	−0.165724	+	0.986172i	$0.552996\pi$
$228$	−0.446679	−	2.05335i	−0.0295820	−	0.135986i
$229$	22.9134			1.51416			0.757080	−	0.653322i	$-0.226625\pi$
$229$	22.9134			1.51416			0.757080	+	0.653322i	$0.226625\pi$
$230$	−10.6256	−	1.44789i	−0.700632	−	0.0954711i
$231$	0.570078			0.0375084
$232$	−1.29834	−	5.96835i	−0.0852399	−	0.391841i
$233$	1.89415	+	1.41794i	0.124090	+	0.0928926i	0.659520	−	0.751687i	$-0.270760\pi$
$233$	1.89415	+	1.41794i	0.124090	+	0.0928926i	−0.535430	+	0.844580i	$0.679850\pi$
$234$	−1.43452	+	0.655123i	−0.0937775	+	0.0428267i
$235$	−11.8006	+	10.1069i	−0.769785	+	0.659301i
$236$	1.66897	−	3.65453i	0.108641	−	0.237890i
$237$	−0.348781	−	4.87660i	−0.0226558	−	0.316769i
$238$	−4.40513	−	5.88456i	−0.285542	−	0.381440i
$239$	−5.05977	−	17.2320i	−0.327290	−	1.11465i	−0.944681	−	0.327990i	$-0.893629\pi$
$239$	−5.05977	−	17.2320i	−0.327290	−	1.11465i	0.617392	−	0.786656i	$-0.288189\pi$
$240$	0.199148	+	1.44408i	0.0128550	+	0.0932150i
$241$	−0.312423	−	0.486139i	−0.0201249	−	0.0313150i	0.831045	−	0.556205i	$-0.187743\pi$
$241$	−0.312423	−	0.486139i	−0.0201249	−	0.0313150i	−0.851170	+	0.524890i	$0.824107\pi$
$242$	10.6505	+	2.31689i	0.684643	+	0.148935i
$243$	−14.3582	−	1.02692i	−0.921078	−	0.0658768i
$244$	10.3760	−	3.04666i	0.664253	−	0.195042i
$245$	−0.0908411	−	1.38189i	−0.00580362	−	0.0882859i
$246$	3.39192	−	3.91448i	0.216261	−	0.249578i
$247$	−0.689878	−	1.84964i	−0.0438959	−	0.117689i
$248$	−7.96983	+	4.35185i	−0.506084	+	0.276343i
$249$	0.276857	+	0.606233i	0.0175451	+	0.0384184i
$250$	11.1787	+	0.193104i	0.707001	+	0.0122130i
$251$	3.97999	−	6.19299i	0.251215	−	0.390898i	−0.692627	−	0.721296i	$-0.743547\pi$
$251$	3.97999	−	6.19299i	0.251215	−	0.390898i	0.943842	+	0.330398i	$0.107183\pi$
$252$	−5.02597	+	5.02597i	−0.316606	+	0.316606i
$253$	−0.447134	−	1.45201i	−0.0281111	−	0.0912871i
$254$		−	13.4532i		−	0.844131i
$255$	−3.62936	−	1.37754i	−0.227279	−	0.0862646i
$256$	−0.142315	−	0.989821i	−0.00889468	−	0.0618638i
$257$	2.46321	−	6.60411i	0.153651	−	0.411953i	−0.837203	−	0.546892i	$-0.815811\pi$
$257$	2.46321	−	6.60411i	0.153651	−	0.411953i	0.990854	+	0.134938i	$0.0430837\pi$
$258$	3.26425	+	5.97803i	0.203223	+	0.372176i
$259$	6.06154	+	2.76821i	0.376646	+	0.172008i
$260$	0.378250	+	1.31619i	0.0234581	+	0.0816265i
$261$	2.23831	−	15.5678i	0.138548	−	0.963624i
$262$	−10.2601	−	5.60246i	−0.633873	−	0.346121i
$263$	−1.27433	+	17.8175i	−0.0785787	+	1.09867i	0.793261	+	0.608882i	$0.208382\pi$
$263$	−1.27433	+	17.8175i	−0.0785787	+	1.09867i	−0.871839	+	0.489792i	$0.837073\pi$
$264$	−0.173741	+	0.111657i	−0.0106930	+	0.00687200i
$265$	−0.0745905	+	12.9551i	−0.00458206	+	0.795827i
$266$	−5.82657	−	6.72422i	−0.357250	−	0.412288i
$267$	1.16943	−	2.14165i	0.0715679	−	0.131067i
$268$	−6.15134	+	4.60484i	−0.375753	+	0.281285i
$269$	−13.3924	−	11.6046i	−0.816550	−	0.707545i	0.142803	−	0.989751i	$-0.454388\pi$
$269$	−13.3924	−	11.6046i	−0.816550	−	0.707545i	−0.959354	+	0.282206i	$0.908934\pi$
$270$	−1.77320	+	7.93113i	−0.107913	+	0.482673i
$271$	27.9409	+	8.20418i	1.69729	+	0.498368i	0.980098	−	0.198512i	$-0.0636109\pi$
$271$	27.9409	+	8.20418i	1.69729	+	0.498368i	0.717188	+	0.696880i	$0.245429\pi$
$272$	2.49510	+	0.930625i	0.151288	+	0.0564274i
$273$	0.660463	−	0.882275i	0.0399730	−	0.0533977i
$274$	−15.4631	−	9.93752i	−0.934159	−	0.600348i
$275$	0.641373	+	1.44832i	0.0386762	+	0.0873368i
$276$	−2.76351	−	1.46223i	−0.166344	−	0.0880160i
$277$	−16.6398	−	16.6398i	−0.999786	−	0.999786i	0.000213691	−	1.00000i	$-0.499932\pi$
$277$	−16.6398	−	16.6398i	−0.999786	−	0.999786i	−1.00000		0.000213691i	$0.999932\pi$
$278$	−6.11203	+	1.32959i	−0.366575	+	0.0797436i
$279$	−23.1444	+	3.32766i	−1.38562	+	0.199222i
$280$	3.67038	+	4.96236i	0.219347	+	0.296557i
$281$	−6.85360	+	23.3412i	−0.408852	+	1.39242i	0.455815	+	0.890075i	$0.349348\pi$
$281$	−6.85360	+	23.3412i	−0.408852	+	1.39242i	−0.864666	+	0.502346i	$0.832470\pi$
$282$	−4.24424	+	1.58302i	−0.252741	+	0.0942675i
$283$	−2.22352	+	0.159029i	−0.132175	+	0.00945332i	−0.137270	−	0.990534i	$-0.543833\pi$
$283$	−2.22352	+	0.159029i	−0.132175	+	0.00945332i	0.00509507	+	0.999987i	$0.498378\pi$
$284$	−8.26703	−	1.18862i	−0.490558	−	0.0705316i
$285$	−4.50078	−	1.34974i	−0.266603	−	0.0799519i
$286$	−0.146629	+	0.127055i	−0.00867038	+	0.00751292i
$287$	4.66176	−	21.4298i	0.275175	−	1.26496i
$288$	0.547354	−	2.51615i	0.0322532	−	0.148265i
$289$	7.48827	−	6.48862i	0.440487	−	0.381684i
$290$	−13.0822	−	3.92322i	−0.768211	−	0.230380i
$291$	−7.77419	−	1.11776i	−0.455731	−	0.0655243i
$292$	9.60626	−	0.687054i	0.562164	−	0.0402068i
$293$	23.9931	−	8.94896i	1.40169	−	0.522804i	0.468910	−	0.883246i	$-0.344647\pi$
$293$	23.9931	−	8.94896i	1.40169	−	0.522804i	0.932782	+	0.360442i	$0.117374\pi$
$294$	0.113752	−	0.387405i	0.00663417	−	0.0225939i
$295$	−5.34218	−	7.22263i	−0.311034	−	0.420518i
$296$	−2.38955	+	0.343565i	−0.138890	+	0.0199693i
$297$	−1.12507	+	0.244744i	−0.0652833	+	0.0142015i
$298$	14.0036	+	14.0036i	0.811205	+	0.811205i
$299$	−2.76521	−	0.990222i	−0.159916	−	0.0572660i
$300$	3.04078	+	1.17421i	0.175560	+	0.0677933i
$301$	24.2611	+	15.5917i	1.39839	+	0.898688i
$302$	3.58167	−	4.78455i	0.206102	−	0.275320i
$303$	−5.56953	−	2.07733i	−0.319961	−	0.119339i
$304$	3.09277	+	0.908118i	0.177382	+	0.0520841i
$305$	5.27596	−	23.5983i	0.302101	−	1.35123i
$306$	5.18234	+	4.49053i	0.296255	+	0.256706i
$307$	−9.62496	+	7.20516i	−0.549326	+	0.411220i	−0.837564	−	0.546339i	$-0.816021\pi$
$307$	−9.62496	+	7.20516i	−0.549326	+	0.411220i	0.288239	+	0.957559i	$0.406930\pi$
$308$	−0.419081	+	0.767490i	−0.0238794	+	0.0437318i
$309$	1.97151	+	2.27525i	0.112155	+	0.129434i
$310$	−0.116905	+	20.3044i	−0.00663976	+	1.15321i
$311$	−14.2553	+	9.16132i	−0.808344	+	0.519491i	−0.878329	−	0.478057i	$-0.841341\pi$
$311$	−14.2553	+	9.16132i	−0.808344	+	0.519491i	0.0699851	+	0.997548i	$0.477705\pi$
$312$	−0.0284833	+	0.398248i	−0.00161255	+	0.0225464i
$313$	−15.6324	−	8.53594i	−0.883596	−	0.482480i	−0.0276933	−	0.999616i	$-0.508816\pi$
$313$	−15.6324	−	8.53594i	−0.883596	−	0.482480i	−0.855903	+	0.517136i	$0.826998\pi$
$314$	2.03128	−	14.1278i	0.114632	−	0.797280i
$315$	4.38984	+	15.2752i	0.247340	+	0.860662i
$316$	6.82171	+	3.11537i	0.383751	+	0.175253i
$317$	9.45486	+	17.3153i	0.531038	+	0.972523i	0.996183	+	0.0872888i	$0.0278203\pi$
$317$	9.45486	+	17.3153i	0.531038	+	0.972523i	−0.465145	+	0.885234i	$0.653998\pi$
$318$	−1.31997	+	3.53897i	−0.0740202	+	0.198456i
$319$	−0.275374	−	1.91527i	−0.0154180	−	0.107235i
$320$	−2.09055	−	0.793475i	−0.116865	−	0.0443566i
$321$			3.22540i			0.180024i
$322$	−13.2369	+	0.173770i	−0.737661	+	0.00968385i
$323$	−6.06963	+	6.06963i	−0.337723	+	0.337723i
$324$	2.89544	−	4.50540i	0.160858	−	0.250300i
$325$	2.98453	+	0.685331i	0.165552	+	0.0380153i
$326$	4.92836	+	10.7916i	0.272957	+	0.597692i
$327$	−4.56356	+	2.49189i	−0.252366	+	0.137802i
$328$	2.77653	+	7.44415i	0.153308	+	0.411035i
$329$	−12.5601	+	14.4951i	−0.692462	+	0.799143i
$330$	0.0302923	+	0.460813i	0.00166754	+	0.0253669i
$331$	17.2261	−	5.05804i	0.946831	−	0.278015i	0.228364	−	0.973576i	$-0.426662\pi$
$331$	17.2261	−	5.05804i	0.946831	−	0.278015i	0.718467	+	0.695561i	$0.244844\pi$
$332$	−1.01969	−	0.0729297i	−0.0559628	−	0.00400254i
$333$	−6.07428	−	1.32138i	−0.332869	−	0.0724111i
$334$	7.22497	+	11.2423i	0.395333	+	0.615150i
$335$	2.34728	+	17.0208i	0.128246	+	0.929946i
$336$	0.506983	+	1.72662i	0.0276582	+	0.0941951i
$337$	10.9903	+	14.6813i	0.598680	+	0.799743i	0.992859	−	0.119291i	$-0.0380620\pi$
$337$	10.9903	+	14.6813i	0.598680	+	0.799743i	−0.394179	+	0.919034i	$0.628971\pi$
$338$	−0.900651	−	12.5927i	−0.0489890	−	0.684955i
$339$	1.66172	−	3.63866i	0.0902523	−	0.197625i
$340$	4.52261	−	3.87350i	0.245273	−	0.210070i
$341$	−2.61672	+	1.19502i	−0.141703	+	0.0647138i
$342$	6.64455	+	4.97404i	0.359296	+	0.268966i
$343$	3.74384	+	17.2101i	0.202148	+	0.929260i
$344$	−10.4478			−0.563308
$345$	−5.85329	+	3.82292i	−0.315130	+	0.205819i
$346$	−11.6641			−0.627067
$347$	5.56392	+	25.5769i	0.298687	+	1.37304i	0.844689	+	0.535258i	$0.179786\pi$
$347$	5.56392	+	25.5769i	0.298687	+	1.37304i	−0.546002	+	0.837784i	$0.683851\pi$
$348$	−3.18769	−	2.38627i	−0.170878	−	0.127918i
$349$	20.3982	−	9.31555i	1.09189	−	0.498650i	0.213671	−	0.976906i	$-0.431458\pi$
$349$	20.3982	−	9.31555i	1.09189	−	0.498650i	0.878221	+	0.478256i	$0.158731\pi$
$350$	13.6828	−	1.80673i	0.731377	−	0.0965739i
$351$	−0.924674	+	2.02475i	−0.0493554	+	0.108073i
$352$	−0.0225999	−	0.315988i	−0.00120458	−	0.0168422i
$353$	−7.54025	−	10.0726i	−0.401327	−	0.536110i	0.553666	−	0.832739i	$-0.313229\pi$
$353$	−7.54025	−	10.0726i	−0.401327	−	0.536110i	−0.954993	+	0.296629i	$0.904138\pi$
$354$	−0.737905	−	2.51307i	−0.0392192	−	0.133568i
$355$	−11.2778	+	14.8860i	−0.598566	+	0.790067i
$356$	2.02360	+	3.14878i	0.107250	+	0.166885i
$357$	−4.68261	−	1.01864i	−0.247830	−	0.0539121i
$358$	10.1433	+	0.725463i	0.536090	+	0.0383419i
$359$	−20.2928	+	5.95851i	−1.07101	+	0.314478i	−0.769279	−	0.638914i	$-0.779384\pi$
$359$	−20.2928	+	5.95851i	−1.07101	+	0.314478i	−0.301736	+	0.953392i	$0.597566\pi$
$360$	−4.32972	−	3.79559i	−0.228196	−	0.200045i
$361$	5.63843	−	6.50709i	0.296759	−	0.342479i
$362$	6.21092	+	16.6521i	0.326439	+	0.875216i
$363$	6.23656	−	3.40542i	0.327335	−	0.178738i
$364$	0.702272	+	1.53776i	0.0368090	+	0.0806006i
$365$	9.05865	−	19.5372i	0.474151	−	1.02262i
$366$	3.81147	−	5.93077i	0.199229	−	0.310006i
$367$	−13.6323	+	13.6323i	−0.711598	+	0.711598i	−0.966869	−	0.255271i	$-0.917835\pi$
$367$	−13.6323	+	13.6323i	−0.711598	+	0.711598i	0.255271	+	0.966869i	$0.417835\pi$
$368$	4.00013	−	2.64556i	0.208521	−	0.137909i
$369$			20.4586i			1.06503i
$370$	−1.91554	+	5.04684i	−0.0995844	+	0.262373i
$371$	2.27600	+	15.8299i	0.118164	+	0.821849i
$372$	−2.06877	+	5.54660i	−0.107261	+	0.287578i
$373$	0.0233634	+	0.0427868i	0.00120971	+	0.00221542i	0.878283	−	0.478141i	$-0.158689\pi$
$373$	0.0233634	+	0.0427868i	0.00120971	+	0.00221542i	−0.877073	+	0.480356i	$0.840507\pi$
$374$	0.767390	+	0.350455i	0.0396808	+	0.0181216i
$375$	5.59008	−	4.67726i	0.288670	−	0.241532i
$376$	0.988864	−	6.87770i	0.0509968	−	0.354690i
$377$	−3.28318	−	1.79275i	−0.169092	−	0.0923314i
$378$	−0.715696	+	10.0067i	−0.0368114	+	0.514691i
$379$	−11.0138	+	7.07816i	−0.565742	+	0.363580i	−0.792032	−	0.610480i	$-0.790977\pi$
$379$	−11.0138	+	7.07816i	−0.565742	+	0.363580i	0.226290	+	0.974060i	$0.427340\pi$
$380$	5.12580	−	5.06711i	0.262948	−	0.259937i
$381$	−5.74345	−	6.62830i	−0.294246	−	0.339578i
$382$	6.38315	−	11.6899i	0.326590	−	0.598105i
$383$	−21.6338	+	16.1948i	−1.10543	+	0.827517i	−0.986234	−	0.165353i	$-0.947124\pi$
$383$	−21.6338	+	16.1948i	−1.10543	+	0.827517i	−0.119199	+	0.992870i	$0.538033\pi$
$384$	−0.492692	−	0.426920i	−0.0251426	−	0.0217862i
$385$	1.04765	+	1.65100i	0.0533931	+	0.0841425i
$386$	−22.3693	−	6.56823i	−1.13857	−	0.334314i
$387$	−25.2068	−	9.40164i	−1.28133	−	0.477912i
$388$	7.21987	−	9.64461i	0.366533	−	0.489631i
$389$	−10.3405	−	6.64544i	−0.524285	−	0.336937i	0.251580	−	0.967836i	$-0.419050\pi$
$389$	−10.3405	−	6.64544i	−0.524285	−	0.336937i	−0.775865	+	0.630899i	$0.782686\pi$
$390$	0.748267	+	0.486992i	0.0378900	+	0.0246598i
$391$	1.07823	+	12.7257i	0.0545287	+	0.643568i
$392$	0.437936	+	0.437936i	0.0221191	+	0.0221191i
$393$	−7.44688	+	1.61997i	−0.375646	+	0.0817167i
$394$	16.0977	−	2.31450i	0.810991	−	0.116603i
$395$	13.4821	−	9.97196i	0.678357	−	0.501744i
$396$	0.229822	−	0.782702i	0.0115490	−	0.0393323i
$397$	−7.42520	+	2.76946i	−0.372660	+	0.138995i	−0.528814	−	0.848738i	$-0.677363\pi$
$397$	−7.42520	+	2.76946i	−0.372660	+	0.138995i	0.156154	+	0.987733i	$0.450090\pi$
$398$	7.48027	−	0.535000i	0.374952	−	0.0268171i
$399$	−5.74140	−	0.825489i	−0.287430	−	0.0413262i
$400$	−3.81620	+	3.23057i	−0.190810	+	0.161529i
$401$	10.5343	−	9.12804i	0.526059	−	0.455832i	−0.350890	−	0.936417i	$-0.614121\pi$
$401$	10.5343	−	9.12804i	0.526059	−	0.455832i	0.876948	+	0.480584i	$0.159575\pi$
$402$	−1.06482	+	4.89489i	−0.0531083	+	0.244135i
$403$	−1.18214	+	5.43422i	−0.0588867	+	0.270698i
$404$	6.89101	−	5.97109i	0.342841	−	0.297073i
$405$	−5.67861	−	10.5435i	−0.282172	−	0.523909i
$406$	−16.6882	−	2.39940i	−0.828222	−	0.119080i
$407$	−0.762833	+	0.0545589i	−0.0378122	+	0.00270438i
$408$	1.62662	−	0.606697i	0.0805296	−	0.0300360i
$409$	0.412691	−	1.40550i	0.0204062	−	0.0694973i	−0.948660	−	0.316296i	$-0.897561\pi$
$409$	0.412691	−	1.40550i	0.0204062	−	0.0694973i	0.969067	+	0.246799i	$0.0793788\pi$
$410$	17.5701	+	2.62954i	0.867725	+	0.129864i
$411$	−11.8611	+	1.70536i	−0.585063	+	0.0841193i
$412$	−4.51246	+	0.981625i	−0.222313	+	0.0483612i
$413$	−7.84169	−	7.84169i	−0.385864	−	0.385864i
$414$	12.0315	−	2.78319i	0.591317	−	0.136786i
$415$	−1.24691	+	1.91589i	−0.0612086	+	0.0940474i
$416$	−0.515218	−	0.331111i	−0.0252607	−	0.0162340i
$417$	−2.44372	+	3.26443i	−0.119669	+	0.159860i
$418$	0.956754	+	0.356851i	0.0467964	+	0.0174541i
$419$	−0.132001	−	0.0387591i	−0.00644868	−	0.00189350i	0.278507	−	0.960434i	$-0.410161\pi$
$419$	−0.132001	−	0.0387591i	−0.00644868	−	0.00189350i	−0.284955	+	0.958541i	$0.591979\pi$
$420$	3.92690	+	0.877953i	0.191613	+	0.0428397i
$421$	25.0172	+	21.6775i	1.21926	+	1.05650i	0.996666	+	0.0815888i	$0.0259994\pi$
$421$	25.0172	+	21.6775i	1.21926	+	1.05650i	0.222599	+	0.974910i	$0.428546\pi$
$422$	18.6238	−	13.9416i	0.906591	−	0.678666i
$423$	8.57479	−	15.7036i	0.416921	−	0.763533i
$424$	−3.79413	−	4.37866i	−0.184259	−	0.212647i
$425$	−2.68031	−	13.0425i	−0.130014	−	0.632652i
$426$	−4.58054	+	2.94374i	−0.221928	+	0.142625i
$427$	2.12948	−	29.7740i	0.103053	−	1.44086i
$428$	−4.34232	−	2.37109i	−0.209894	−	0.114611i
$429$	−0.0180008	+	0.125198i	−0.000869085	+	0.00604462i
$430$	−11.3141	+	20.4395i	−0.545613	+	0.985681i
$431$	−28.8071	−	13.1558i	−1.38759	−	0.633691i	−0.425135	−	0.905130i	$-0.639773\pi$
$431$	−28.8071	−	13.1558i	−1.38759	−	0.633691i	−0.962456	+	0.271439i	$0.912501\pi$
$432$	−1.74182	−	3.18990i	−0.0838033	−	0.153474i
$433$	12.9645	−	34.7592i	0.623034	−	1.67042i	−0.113100	−	0.993584i	$-0.536078\pi$
$433$	12.9645	−	34.7592i	0.623034	−	1.67042i	0.736134	−	0.676836i	$-0.236649\pi$
$434$	3.56715	+	24.8101i	0.171229	+	1.19092i
$435$	−8.12037	+	3.65209i	−0.389342	+	0.175104i
$436$		−	7.97574i		−	0.381969i
$437$	2.40065	+	15.2710i	0.114839	+	0.730512i
$438$	4.43961	−	4.43961i	0.212133	−	0.212133i
$439$	5.37599	−	8.36521i	0.256582	−	0.399250i	−0.688934	−	0.724824i	$-0.741921\pi$
$439$	5.37599	−	8.36521i	0.256582	−	0.399250i	0.945517	+	0.325574i	$0.105558\pi$
$440$	−0.642656	−	0.297975i	−0.0306374	−	0.0142054i
$441$	0.662497	+	1.45067i	0.0315475	+	0.0690793i
$442$	1.43144	−	0.781624i	0.0680865	−	0.0371781i
$443$	−13.5142	−	36.2330i	−0.642079	−	1.72148i	−0.691175	−	0.722688i	$-0.742907\pi$
$443$	−13.5142	−	36.2330i	−0.642079	−	1.72148i	0.0490953	−	0.998794i	$-0.484366\pi$
$444$	−1.03064	+	1.18942i	−0.0489118	+	0.0564472i
$445$	8.35149	−	0.549000i	0.395899	−	0.0260251i
$446$	−6.34845	+	1.86407i	−0.300608	+	0.0882664i
$447$	12.8778	+	0.921042i	0.609101	+	0.0435638i
$448$	−2.69723	−	0.586747i	−0.127432	−	0.0277212i
$449$	−10.0638	−	15.6596i	−0.474941	−	0.739022i	0.518287	−	0.855207i	$-0.326570\pi$
$449$	−10.0638	−	15.6596i	−0.474941	−	0.739022i	−0.993228	+	0.116185i	$0.962934\pi$
$450$	−12.1142	+	4.36014i	−0.571069	+	0.205539i
$451$	0.709112	+	2.41501i	0.0333908	+	0.113718i
$452$	3.67711	+	4.91204i	0.172957	+	0.231043i
$453$	−0.277961	−	3.88640i	−0.0130597	−	0.182599i
$454$	−5.73715	+	12.5626i	−0.269258	+	0.589592i
$455$	3.76889	+	0.291376i	0.176689	+	0.0136599i
$456$	1.91147	−	0.872941i	0.0895130	−	0.0408792i
$457$	−3.96387	−	2.96732i	−0.185422	−	0.138805i	0.502534	−	0.864557i	$-0.332401\pi$
$457$	−3.96387	−	2.96732i	−0.185422	−	0.138805i	−0.687956	+	0.725752i	$0.741492\pi$
$458$	4.87059	+	22.3898i	0.227588	+	1.04620i
$459$	9.67863			0.451760
$460$	−0.843833	−	10.6906i	−0.0393439	−	0.498450i
$461$	19.7385			0.919315			0.459658	−	0.888096i	$-0.347972\pi$
$461$	19.7385			0.919315			0.459658	+	0.888096i	$0.347972\pi$
$462$	0.121179	+	0.557050i	0.00563775	+	0.0259163i
$463$	11.3553	+	8.50050i	0.527727	+	0.395052i	0.829653	−	0.558280i	$-0.188538\pi$
$463$	11.3553	+	8.50050i	0.527727	+	0.395052i	−0.301925	+	0.953332i	$0.597629\pi$
$464$	5.55597	−	2.53733i	0.257930	−	0.117793i
$465$	8.61077	+	10.0537i	0.399315	+	0.466231i
$466$	−0.982909	+	2.15227i	−0.0455324	+	0.0997020i
$467$	−1.55348	−	21.7205i	−0.0718864	−	1.00510i	−0.897542	−	0.440929i	$-0.854649\pi$
$467$	−1.55348	−	21.7205i	−0.0718864	−	1.00510i	0.825656	−	0.564174i	$-0.190805\pi$
$468$	−0.945081	−	1.26248i	−0.0436864	−	0.0583582i
$469$	5.97560	+	20.3510i	0.275928	+	0.939723i
$470$	−12.3843	−	9.38252i	−0.571246	−	0.432784i
$471$	−5.03066	−	7.82786i	−0.231801	−	0.360689i
$472$	3.92578	+	0.854001i	0.180699	+	0.0393086i
$473$	−3.30138	−	0.236119i	−0.151798	−	0.0108568i
$474$	4.69102	−	1.37741i	0.215465	−	0.0632664i
$475$	−4.36223	−	15.5151i	−0.200153	−	0.711881i
$476$	4.81371	−	5.55531i	0.220636	−	0.254627i
$477$	−5.21366	−	13.9784i	−0.238717	−	0.640025i
$478$	15.7627	−	8.60707i	0.720968	−	0.393678i
$479$	12.6195	+	27.6329i	0.576600	+	1.26258i	0.943208	+	0.332203i	$0.107792\pi$
$479$	12.6195	+	27.6329i	0.576600	+	1.26258i	−0.366608	+	0.930376i	$0.619481\pi$
$480$	−1.36875	+	0.501558i	−0.0624745	+	0.0228929i
$481$	−0.799341	+	1.24380i	−0.0364468	+	0.0567123i
$482$	0.408619	−	0.408619i	0.0186121	−	0.0186121i
$483$	−6.44751	+	5.73669i	−0.293372	+	0.261029i
$484$			10.8996i			0.495438i
$485$	−11.0497	−	24.5689i	−0.501742	−	1.11561i
$486$	−2.04860	−	14.2483i	−0.0929265	−	0.646318i
$487$	6.95752	−	18.6538i	0.315275	−	0.845286i	−0.678573	−	0.734533i	$-0.737401\pi$
$487$	6.95752	−	18.6538i	0.315275	−	0.845286i	0.993848	−	0.110753i	$-0.0353262\pi$
$488$	5.18260	+	9.49122i	0.234605	+	0.429648i
$489$	7.03532	+	3.21292i	0.318148	+	0.145293i
$490$	1.33100	−	0.382507i	0.0601285	−	0.0172799i
$491$	4.55533	−	31.6830i	0.205579	−	1.42984i	−0.581782	−	0.813344i	$-0.697644\pi$
$491$	4.55533	−	31.6830i	0.205579	−	1.42984i	0.787362	−	0.616491i	$-0.211446\pi$
$492$	4.54603	+	2.48232i	0.204951	+	0.111912i
$493$	−1.16037	+	16.2240i	−0.0522602	+	0.730693i
$494$	1.66072	−	1.06728i	0.0747194	−	0.0480192i
$495$	−1.28236	−	1.29721i	−0.0576378	−	0.0583053i
$496$	−5.94651	−	6.86264i	−0.267006	−	0.308142i
$497$	−11.0487	+	20.2342i	−0.495603	+	0.907630i
$498$	−0.533528	+	0.399394i	−0.0239080	+	0.0178973i
$499$	−25.6825	−	22.2540i	−1.14971	−	0.996227i	−0.999972	−	0.00750072i	$-0.997612\pi$
$499$	−25.6825	−	22.2540i	−1.14971	−	0.996227i	−0.149735	−	0.988726i	$-0.547842\pi$
$500$	2.18751	+	10.9643i	0.0978283	+	0.490336i
$501$	8.35923	+	2.45449i	0.373463	+	0.109659i
$502$	6.89747	+	2.57262i	0.307849	+	0.114822i
$503$	−11.5785	+	15.4671i	−0.516261	+	0.689645i	−0.980601	−	0.196012i	$-0.937201\pi$
$503$	−11.5785	+	15.4671i	−0.516261	+	0.689645i	0.464340	+	0.885657i	$0.346292\pi$
$504$	−5.97946	−	3.84276i	−0.266346	−	0.171170i
$505$	−4.21916	−	19.9474i	−0.187750	−	0.887647i
$506$	1.32378	−	0.745562i	0.0588493	−	0.0331443i
$507$	−5.81984	−	5.81984i	−0.258468	−	0.258468i
$508$	13.1458	−	2.85969i	0.583250	−	0.126878i
$509$	4.65529	−	0.669329i	0.206342	−	0.0296675i	−0.0383687	−	0.999264i	$-0.512216\pi$
$509$	4.65529	−	0.669329i	0.206342	−	0.0296675i	0.244711	+	0.969596i	$0.421307\pi$
$510$	0.574579	−	3.83923i	0.0254428	−	0.170004i
$511$	7.48959	−	25.5072i	0.331320	−	1.12837i
$512$	0.936950	−	0.349464i	0.0414077	−	0.0154443i
$513$	11.6853	−	0.835748i	0.515918	−	0.0368992i
$514$	6.97678	+	1.00311i	0.307733	+	0.0442453i
$515$	−2.96621	+	9.89095i	−0.130707	+	0.435847i
$516$	−5.14754	+	4.46037i	−0.226608	+	0.196357i
$517$	0.467904	−	2.15092i	0.0205784	−	0.0945974i
$518$	−1.41648	+	6.51144i	−0.0622364	+	0.286096i
$519$	−5.74682	+	4.97965i	−0.252257	+	0.218582i
$520$	−1.20571	+	0.649381i	−0.0528737	+	0.0284773i
$521$	−18.1659	−	2.61186i	−0.795861	−	0.114428i	−0.267623	−	0.963524i	$-0.586238\pi$
$521$	−18.1659	−	2.61186i	−0.795861	−	0.114428i	−0.528238	+	0.849096i	$0.677147\pi$
$522$	15.6878	−	1.12202i	0.686638	−	0.0491093i
$523$	13.2959	−	4.95911i	0.581389	−	0.216847i	−0.0415246	−	0.999137i	$-0.513221\pi$
$523$	13.2959	−	4.95911i	0.581389	−	0.216847i	0.622914	+	0.782291i	$0.285949\pi$
$524$	3.29347	−	11.2165i	0.143876	−	0.489997i
$525$	5.97007	−	6.73162i	0.260555	−	0.293792i
$526$	−17.6812	+	2.54217i	−0.770937	+	0.110844i
$527$	23.6290	−	5.14017i	1.02929	−	0.223909i
$528$	−0.146036	−	0.146036i	−0.00635542	−	0.00635542i
$529$	19.6686	+	11.9225i	0.855156	+	0.518371i
$530$	−12.6749	+	2.68092i	−0.550563	+	0.116452i
$531$	8.70301	+	5.59308i	0.377678	+	0.242719i
$532$	5.33202	−	7.12275i	0.231172	−	0.308810i
$533$	4.55911	+	1.70046i	0.197477	+	0.0736550i
$534$	2.34129	+	0.687464i	0.101317	+	0.0297495i
$535$	−9.34104	+	5.92741i	−0.403848	+	0.256264i
$536$	−5.80716	−	5.03193i	−0.250831	−	0.217346i
$537$	5.30723	−	3.97294i	0.229024	−	0.171445i
$538$	8.49263	−	15.5531i	0.366143	−	0.670542i
$539$	0.128485	+	0.148280i	0.00553425	+	0.00638686i
$540$	−8.12680	−	0.0467909i	−0.349722	−	0.00201356i
$541$	−21.1489	+	13.5916i	−0.909263	+	0.584348i	−0.909524	−	0.415652i	$-0.863553\pi$
$541$	−21.1489	+	13.5916i	−0.909263	+	0.584348i	0.000260505		1.00000i	$0.499917\pi$
$542$	−2.07743	+	29.0462i	−0.0892332	+	1.24764i
$543$	10.1692	+	5.55280i	0.436402	+	0.238293i
$544$	−0.378985	+	2.63590i	−0.0162489	+	0.113013i
$545$	−15.6033	−	8.63704i	−0.668372	−	0.369970i
$546$	1.00250	+	0.457828i	0.0429032	+	0.0195932i
$547$	1.42507	+	2.60982i	0.0609315	+	0.111588i	0.906370	−	0.422486i	$-0.138842\pi$
$547$	1.42507	+	2.60982i	0.0609315	+	0.111588i	−0.845438	+	0.534074i	$0.820661\pi$
$548$	6.42350	−	17.2221i	0.274398	−	0.735691i
$549$	3.96290	+	27.5626i	0.169132	+	1.17634i
$550$	−1.27888	+	0.934577i	−0.0545318	+	0.0398505i
$551$			19.6879i			0.838734i
$552$	0.841389	−	3.01118i	0.0358119	−	0.128164i
$553$	14.6376	−	14.6376i	0.622456	−	0.622456i
$554$	12.7225	−	19.7965i	0.540525	−	0.841074i
$555$	1.21082	+	3.30432i	0.0513965	+	0.140261i
$556$	−2.59841	−	5.68973i	−0.110197	−	0.241298i
$557$	−6.99149	+	3.81764i	−0.296239	+	0.161759i	−0.620494	−	0.784211i	$-0.713068\pi$
$557$	−6.99149	+	3.81764i	−0.296239	+	0.161759i	0.324256	+	0.945970i	$0.394886\pi$
$558$	−8.17132	−	21.9081i	−0.345919	−	0.927446i
$559$	−4.19023	+	4.83579i	−0.177228	+	0.204532i
$560$	−4.06875	+	4.64133i	−0.171936	+	0.196132i
$561$	0.527703	−	0.154948i	0.0222797	−	0.00654190i
$562$	−24.2646	−	1.73544i	−1.02354	−	0.0732052i
$563$	14.8037	+	3.22035i	0.623901	+	0.135721i	0.513393	−	0.858154i	$-0.328388\pi$
$563$	14.8037	+	3.22035i	0.623901	+	0.135721i	0.110509	+	0.993875i	$0.464752\pi$
$564$	−2.44902	−	3.81075i	−0.103122	−	0.160462i
$565$	13.5917	−	1.87438i	0.571805	−	0.0788557i
$566$	−0.628039	−	2.13890i	−0.0263984	−	0.0899049i
$567$	−8.85917	−	11.8345i	−0.372050	−	0.497001i
$568$	−0.595828	−	8.33076i	−0.0250004	−	0.349551i
$569$	−8.90868	+	19.5073i	−0.373471	+	0.817788i	0.625813	+	0.779973i	$0.284767\pi$
$569$	−8.90868	+	19.5073i	−0.373471	+	0.817788i	−0.999285	+	0.0378154i	$0.987960\pi$
$570$	0.362188	−	4.68483i	0.0151704	−	0.196226i
$571$	−13.1374	+	5.99965i	−0.549783	+	0.251077i	−0.670883	−	0.741563i	$-0.734085\pi$
$571$	−13.1374	+	5.99965i	−0.549783	+	0.251077i	0.121101	+	0.992640i	$0.461358\pi$
$572$	−0.155320	−	0.116271i	−0.00649425	−	0.00486153i
$573$	−1.84571	−	8.48459i	−0.0771056	−	0.354449i
$574$	21.9310			0.915380
$575$	−21.8282	−	9.92613i	−0.910300	−	0.413948i
$576$	2.57499			0.107291
$577$	8.48076	+	38.9854i	0.353059	+	1.62298i	0.720860	+	0.693080i	$0.243747\pi$
$577$	8.48076	+	38.9854i	0.353059	+	1.62298i	−0.367802	+	0.929904i	$0.619889\pi$
$578$	7.93208	+	5.93788i	0.329931	+	0.246983i
$579$	−13.8253	+	6.31380i	−0.574560	+	0.262393i
$580$	1.05275	−	13.6171i	0.0437131	−	0.565420i
$581$	−1.17224	+	2.56685i	−0.0486328	+	0.106491i
$582$	−0.560308	−	7.83413i	−0.0232255	−	0.324735i
$583$	−1.09994	−	1.46935i	−0.0455550	−	0.0608543i
$584$	2.71331	+	9.24069i	0.112278	+	0.382382i
$585$	−3.49329	+	0.481748i	−0.144430	+	0.0199178i
$586$	13.8445	+	21.5425i	0.571913	+	0.889914i
$587$	20.2464	+	4.40434i	0.835659	+	0.181786i	0.609981	−	0.792416i	$-0.291177\pi$
$587$	20.2464	+	4.40434i	0.835659	+	0.181786i	0.225677	+	0.974202i	$0.427541\pi$
$588$	0.402731	+	0.0288039i	0.0166083	+	0.00118785i
$589$	28.0841	−	8.24623i	1.15718	−	0.339780i
$590$	5.92201	−	6.75538i	0.243805	−	0.278115i
$591$	6.94311	−	8.01277i	0.285601	−	0.329601i
$592$	−0.843648	−	2.26191i	−0.0346737	−	0.0929639i
$593$	−31.5118	+	17.2067i	−1.29403	+	0.706596i	−0.970838	−	0.239737i	$-0.922939\pi$
$593$	−31.5118	+	17.2067i	−1.29403	+	0.706596i	−0.323195	+	0.946332i	$0.604757\pi$
$594$	−0.478302	−	1.04734i	−0.0196250	−	0.0429727i
$595$	−5.65529	−	15.4332i	−0.231844	−	0.632700i
$596$	−10.7069	+	16.6602i	−0.438570	+	0.682429i
$597$	3.45707	−	3.45707i	0.141488	−	0.141488i
$598$	0.379804	−	2.91251i	0.0155313	−	0.119101i
$599$			45.2263i			1.84790i	0.382517	+	0.923948i	$0.375057\pi$
$599$			45.2263i			1.84790i	−0.382517	+	0.923948i	$0.624943\pi$
$600$	−0.501014	+	3.22089i	−0.0204538	+	0.131492i
$601$	5.82478	+	40.5122i	0.237598	+	1.65253i	0.663807	+	0.747904i	$0.268940\pi$
$601$	5.82478	+	40.5122i	0.237598	+	1.65253i	−0.426209	+	0.904625i	$0.640151\pi$
$602$	−10.0783	+	27.0209i	−0.410760	+	1.10129i
$603$	−9.48251	−	17.3659i	−0.386158	−	0.707195i
$604$	5.43655	+	2.48279i	0.221210	+	0.101023i
$605$	21.3235	+	11.8034i	0.866923	+	0.479876i
$606$	0.845965	−	5.88382i	0.0343650	−	0.239014i
$607$	0.389892	+	0.212897i	0.0158252	+	0.00864123i	0.487142	−	0.873323i	$-0.338039\pi$
$607$	0.389892	+	0.212897i	0.0158252	+	0.00864123i	−0.471317	+	0.881964i	$0.656221\pi$
$608$	−0.229950	+	3.21512i	−0.00932570	+	0.130390i
$609$	−9.24650	+	5.94236i	−0.374687	+	0.240797i
$610$	24.1804	+	0.139222i	0.979038	+	0.00563692i
$611$	−2.78676	−	3.21609i	−0.112740	−	0.130109i
$612$	−3.28632	+	6.01844i	−0.132842	+	0.243281i
$613$	29.4122	−	22.0177i	1.18795	−	0.889285i	0.192193	−	0.981357i	$-0.438440\pi$
$613$	29.4122	−	22.0177i	1.18795	−	0.889285i	0.995752	+	0.0920719i	$0.0293490\pi$
$614$	−9.08643	−	7.87344i	−0.366698	−	0.317746i
$615$	9.77924	−	6.20547i	0.394337	−	0.250229i
$616$	−0.839033	−	0.246362i	−0.0338056	−	0.00992622i
$617$	−9.62779	−	3.59098i	−0.387600	−	0.144567i	0.148107	−	0.988971i	$-0.452682\pi$
$617$	−9.62779	−	3.59098i	−0.387600	−	0.144567i	−0.535707	+	0.844404i	$0.679955\pi$
$618$	−1.80418	+	2.41010i	−0.0725746	+	0.0969483i
$619$	15.7999	+	10.1540i	0.635053	+	0.408124i	0.818177	−	0.574966i	$-0.194985\pi$
$619$	15.7999	+	10.1540i	0.635053	+	0.408124i	−0.183124	+	0.983090i	$0.558621\pi$
$620$	−19.8653	+	4.20179i	−0.797808	+	0.168748i
$621$	10.2615	−	14.0896i	0.411782	−	0.565397i
$622$	−11.9821	−	11.9821i	−0.480440	−	0.480440i
$623$	10.0956	−	2.19617i	0.404473	−	0.0879877i
$624$	−0.395202	+	0.0568214i	−0.0158207	+	0.00227468i
$625$	23.8188	+	7.59383i	0.952751	+	0.303753i
$626$	5.01796	−	17.0896i	0.200558	−	0.683038i
$627$	0.623731	−	0.232640i	0.0249094	−	0.00929074i
$628$	14.2367	−	1.01823i	0.568108	−	0.0406319i
$629$	6.36338	+	0.914915i	0.253724	+	0.0364801i
$630$	−13.9930	+	7.53651i	−0.557495	+	0.300262i
$631$	3.05021	−	2.64302i	0.121427	−	0.105217i	−0.592031	−	0.805915i	$-0.701674\pi$
$631$	3.05021	−	2.64302i	0.121427	−	0.105217i	0.713458	+	0.700698i	$0.247128\pi$
$632$	−1.59412	+	7.32803i	−0.0634105	+	0.291494i
$633$	3.22384	−	14.8198i	0.128136	−	0.589033i
$634$	−14.9098	+	12.9194i	−0.592144	+	0.513095i
$635$	8.64122	−	28.8145i	0.342916	−	1.14347i
$636$	−3.73868	−	0.537541i	−0.148248	−	0.0213149i
$637$	0.378340	−	0.0270594i	0.0149904	−	0.00107213i
$638$	1.81296	−	0.676201i	0.0717760	−	0.0267711i
$639$	6.05907	−	20.6353i	0.239693	−	0.816320i
$640$	0.330964	−	2.21144i	0.0130825	−	0.0874148i
$641$	−37.1849	+	5.34639i	−1.46872	+	0.211170i	−0.829780	−	0.558090i	$-0.811534\pi$
$641$	−37.1849	+	5.34639i	−1.46872	+	0.211170i	−0.638936	+	0.769260i	$0.720625\pi$
$642$	−3.15169	+	0.685609i	−0.124387	+	0.0270588i
$643$	12.6523	+	12.6523i	0.498957	+	0.498957i	0.911113	−	0.412156i	$-0.135224\pi$
$643$	12.6523	+	12.6523i	0.498957	+	0.498957i	−0.412156	+	0.911113i	$0.635224\pi$
$644$	−2.98350	−	12.8974i	−0.117566	−	0.508230i
$645$	3.15169	+	14.9006i	0.124098	+	0.586710i
$646$	−7.22111	−	4.64073i	−0.284111	−	0.182587i
$647$	−1.81752	+	2.42792i	−0.0714539	+	0.0954512i	−0.834844	−	0.550486i	$-0.814442\pi$
$647$	−1.81752	+	2.42792i	−0.0714539	+	0.0954512i	0.763390	+	0.645937i	$0.223533\pi$
$648$	5.01791	+	1.87158i	0.197122	+	0.0735227i
$649$	1.22120	+	0.358576i	0.0479363	+	0.0140754i
$650$	−0.0352608	+	3.06200i	−0.00138304	+	0.120102i
$651$	12.3494	+	10.7008i	0.484012	+	0.419399i
$652$	−9.49739	+	7.10966i	−0.371947	+	0.278436i
$653$	−7.38259	+	13.5202i	−0.288903	+	0.529087i	−0.981313	−	0.192418i	$-0.938367\pi$
$653$	−7.38259	+	13.5202i	−0.288903	+	0.529087i	0.692410	+	0.721504i	$0.256549\pi$
$654$	−3.40500	−	3.92958i	−0.133146	−	0.153659i
$655$	−18.3769	−	18.5897i	−0.718045	−	0.726361i
$656$	−6.68384	+	4.29544i	−0.260960	+	0.167709i
$657$	−1.76916	+	24.7361i	−0.0690215	+	0.965046i
$658$	−16.8337	−	9.19191i	−0.656247	−	0.358338i
$659$	−4.87682	+	33.9190i	−0.189974	+	1.32130i	0.642095	+	0.766625i	$0.278066\pi$
$659$	−4.87682	+	33.9190i	−0.189974	+	1.32130i	−0.832069	+	0.554673i	$0.812844\pi$
$660$	−0.443843	+	0.127553i	−0.0172766	+	0.00496499i
$661$	−34.1974	−	15.6174i	−1.33012	−	0.607447i	−0.381651	−	0.924306i	$-0.624645\pi$
$661$	−34.1974	−	15.6174i	−1.33012	−	0.607447i	−0.948473	+	0.316859i	$0.897372\pi$
$662$	8.60411	+	15.7573i	0.334408	+	0.612423i
$663$	0.371567	−	0.996209i	0.0144304	−	0.0386895i
$664$	−0.145488	−	1.01189i	−0.00564602	−	0.0392689i
$665$	−8.16044	−	18.1446i	−0.316448	−	0.703618i
$666$		−	6.21634i		−	0.240878i
$667$	22.3878	+	18.8903i	0.866859	+	0.731437i
$668$	−9.44957	+	9.44957i	−0.365615	+	0.365615i
$669$	−2.33202	+	3.62869i	−0.0901611	+	0.140293i
$670$	−16.1329	+	5.91167i	−0.623267	+	0.228388i
$671$	1.42314	+	3.11624i	0.0549397	+	0.120301i
$672$	−1.57940	+	0.862417i	−0.0609266	+	0.0332684i
$673$	−6.43685	−	17.2579i	−0.248122	−	0.665241i	−0.999982	−	0.00591883i	$-0.998116\pi$
$673$	−6.43685	−	17.2579i	−0.248122	−	0.665241i	0.751860	−	0.659322i	$-0.229157\pi$
$674$	−12.0097	+	13.8599i	−0.462595	+	0.533863i
$675$	−8.89217	+	15.8482i	−0.342260	+	0.609997i
$676$	12.1135	−	3.55685i	0.465905	−	0.136802i
$677$	6.56309	+	0.469401i	0.252240	+	0.0180406i	0.196887	−	0.980426i	$-0.436917\pi$
$677$	6.56309	+	0.469401i	0.252240	+	0.0180406i	0.0553533	+	0.998467i	$0.482371\pi$
$678$	3.90873	+	0.850292i	0.150114	+	0.0326553i
$679$	−17.9791	−	27.9761i	−0.689975	−	1.07362i
$680$	4.74633	+	3.59588i	0.182013	+	0.137896i
$681$	2.53658	+	8.63880i	0.0972019	+	0.331039i
$682$	−1.72393	−	2.30290i	−0.0660127	−	0.0881827i
$683$	2.40500	+	33.6263i	0.0920248	+	1.28667i	0.808264	+	0.588820i	$0.200407\pi$
$683$	2.40500	+	33.6263i	0.0920248	+	1.28667i	−0.716239	+	0.697855i	$0.754138\pi$
$684$	−3.44797	+	7.55001i	−0.131837	+	0.288682i
$685$	−26.7363	−	31.2166i	−1.02154	−	1.19273i
$686$	−16.0210	+	7.31656i	−0.611685	+	0.279347i
$687$	11.9583	+	8.95189i	0.456239	+	0.341536i
$688$	−2.22084	−	10.2090i	−0.0846687	−	0.389216i
$689$	−3.54836			−0.135182
$690$	−4.97976	−	4.90690i	−0.189576	−	0.186802i
$691$	−11.7111			−0.445510			−0.222755	−	0.974874i	$-0.571505\pi$
$691$	−11.7111			−0.445510			−0.222755	+	0.974874i	$0.571505\pi$
$692$	−2.47939	−	11.3976i	−0.0942522	−	0.433270i
$693$	−1.80259	−	1.34940i	−0.0684748	−	0.0512596i
$694$	−23.8097	+	10.8735i	−0.903805	+	0.412754i
$695$	−13.9449	−	1.07810i	−0.528962	−	0.0408945i
$696$	1.65415	−	3.62208i	0.0627003	−	0.137294i
$697$	−1.50938	−	21.1039i	−0.0571719	−	0.799368i
$698$	13.4386	+	17.9519i	0.508659	+	0.679489i
$699$	0.434576	+	1.48003i	0.0164372	+	0.0559799i
$700$	4.67393	+	12.9861i	0.176658	+	0.490827i
$701$	7.90767	+	12.3046i	0.298669	+	0.464737i	0.957859	−	0.287239i	$-0.0927373\pi$
$701$	7.90767	+	12.3046i	0.298669	+	0.464737i	−0.659191	+	0.751976i	$0.729101\pi$
$702$	−2.17503	−	0.473150i	−0.0820914	−	0.0178579i
$703$	7.76169	+	0.555127i	0.292738	+	0.0209370i
$704$	0.303963	−	0.0892515i	0.0114560	−	0.00336379i
$705$	−10.1072	+	0.664417i	−0.380660	+	0.0250234i
$706$	8.23961	−	9.50902i	0.310102	−	0.357877i
$707$	−8.79561	−	23.5820i	−0.330793	−	0.886891i
$708$	2.29879	−	1.25523i	0.0863938	−	0.0471746i
$709$	−0.106146	−	0.232428i	−0.00398641	−	0.00872901i	0.907628	−	0.419775i	$-0.137891\pi$
$709$	−0.106146	−	0.232428i	−0.00398641	−	0.00872901i	−0.911615	+	0.411046i	$0.865164\pi$
$710$	−16.9431	−	7.85586i	−0.635863	−	0.294825i
$711$	−10.4403	+	16.2454i	−0.391542	+	0.609251i
$712$	−2.64667	+	2.64667i	−0.0991883	+	0.0991883i
$713$	17.5693	−	39.8475i	0.657976	−	1.49230i
$714$		−	4.79212i		−	0.179341i
$715$	−0.395664	+	0.177948i	−0.0147970	+	0.00665488i
$716$	1.44723	+	10.0657i	0.0540855	+	0.376173i
$717$	4.09161	−	10.9700i	0.152804	−	0.409683i
$718$	−10.1359	−	18.5625i	−0.378268	−	0.692746i
$719$	11.2789	+	5.15090i	0.420632	+	0.192096i	0.614475	−	0.788936i	$-0.289368\pi$
$719$	11.2789	+	5.15090i	0.420632	+	0.192096i	−0.193843	+	0.981033i	$0.562095\pi$
$720$	2.78850	−	5.03758i	0.103921	−	0.187740i
$721$	−1.81410	+	12.6174i	−0.0675607	+	0.469895i
$722$	7.55692	+	4.12639i	0.281239	+	0.153568i
$723$	0.0268757	−	0.375771i	0.000999517	−	0.0139751i
$724$	−14.9513	+	9.60865i	−0.555662	+	0.357103i
$725$	−25.4998	−	16.8057i	−0.947039	−	0.624150i
$726$	4.65327	+	5.37016i	0.172699	+	0.199305i
$727$	−14.7751	+	27.0585i	−0.547977	+	1.00355i	0.446112	+	0.894977i	$0.352808\pi$
$727$	−14.7751	+	27.0585i	−0.547977	+	1.00355i	−0.994089	+	0.108568i	$0.965373\pi$
$728$	−1.35334	+	1.01310i	−0.0501581	+	0.0375479i
$729$	5.05020	+	4.37602i	0.187044	+	0.162075i
$730$	21.0163	+	4.69870i	0.777847	+	0.173907i
$731$	26.6955	+	7.83852i	0.987370	+	0.289918i
$732$	6.60542	+	2.46369i	0.244143	+	0.0910607i
$733$	−27.7729	+	37.1002i	−1.02581	+	1.37033i	−0.0988817	+	0.995099i	$0.531527\pi$
$733$	−27.7729	+	37.1002i	−1.02581	+	1.37033i	−0.926932	+	0.375228i	$0.877564\pi$
$734$	−16.2185	−	10.4230i	−0.598634	−	0.384719i
$735$	0.492474	−	0.756689i	0.0181652	−	0.0279109i
$736$	3.43539	+	3.34636i	0.126630	+	0.123348i
$737$	−1.72127	−	1.72127i	−0.0634039	−	0.0634039i
$738$	−19.9910	+	4.34878i	−0.735880	+	0.160081i
$739$	11.5958	−	1.66723i	0.426559	−	0.0613300i	0.0743078	−	0.997235i	$-0.476325\pi$
$739$	11.5958	−	1.66723i	0.426559	−	0.0613300i	0.352251	+	0.935905i	$0.385416\pi$
$740$	−5.33868	−	0.798985i	−0.196254	−	0.0293713i
$741$	0.362580	−	1.23484i	0.0133197	−	0.0453628i
$742$	−14.9844	+	5.58888i	−0.550093	+	0.205174i
$743$	19.6035	−	1.40207i	0.719182	−	0.0514369i	0.293049	−	0.956097i	$-0.405330\pi$
$743$	19.6035	−	1.40207i	0.719182	−	0.0514369i	0.426133	+	0.904660i	$0.359875\pi$
$744$	−5.85959	−	0.842482i	−0.214823	−	0.0308869i
$745$	20.9985	+	38.9880i	0.769327	+	1.42841i
$746$	−0.0368427	+	0.0319244i	−0.00134891	+	0.00116884i
$747$	0.559558	−	2.57225i	0.0204731	−	0.0941135i
$748$	−0.179326	+	0.824348i	−0.00655680	+	0.0301411i
$749$	−10.3210	+	8.94322i	−0.377122	+	0.326778i
$750$	5.75862	+	4.46811i	0.210275	+	0.163152i
$751$	40.7610	+	5.86055i	1.48739	+	0.213855i	0.837611	−	0.546267i	$-0.183952\pi$
$751$	40.7610	+	5.86055i	1.48739	+	0.213855i	0.649780	+	0.760122i	$0.274861\pi$
$752$	6.93072	−	0.495695i	0.252737	−	0.0180761i
$753$	4.49663	−	1.67716i	0.163866	−	0.0611190i
$754$	1.05389	−	3.58923i	0.0383805	−	0.130712i
$755$	10.7445	−	7.94713i	0.391033	−	0.289226i
$756$	−9.93018	+	1.42774i	−0.361157	+	0.0519266i
$757$	11.8215	−	2.57161i	0.429660	−	0.0934669i	0.00746575	−	0.999972i	$-0.497624\pi$
$757$	11.8215	−	2.57161i	0.429660	−	0.0934669i	0.422195	+	0.906505i	$0.361260\pi$
$758$	−9.25755	−	9.25755i	−0.336250	−	0.336250i
$759$	0.333921	−	0.932481i	0.0121206	−	0.0338469i
$760$	6.04088	+	3.93156i	0.219126	+	0.142613i
$761$	−24.3584	−	15.6542i	−0.882991	−	0.567464i	0.0187095	−	0.999825i	$-0.494044\pi$
$761$	−24.3584	−	15.6542i	−0.882991	−	0.567464i	−0.901701	+	0.432361i	$0.857681\pi$
$762$	5.25596	−	7.02114i	0.190403	−	0.254349i
$763$	−20.6275	−	7.69364i	−0.746764	−	0.278529i
$764$	12.7795	+	3.75241i	0.462348	+	0.135758i
$765$	8.21536	+	12.9466i	0.297027	+	0.468087i
$766$	−20.4233	−	17.6969i	−0.737924	−	0.639415i
$767$	1.96976	−	1.47455i	0.0711241	−	0.0532428i
$768$	0.312434	−	0.572181i	0.0112740	−	0.0206468i
$769$	−24.3410	−	28.0910i	−0.877757	−	1.01299i	−0.999791	−	0.0204598i	$-0.993487\pi$
$769$	−24.3410	−	28.0910i	−0.877757	−	1.01299i	0.122033	−	0.992526i	$-0.461058\pi$
$770$	−1.39057	+	1.37465i	−0.0501127	+	0.0495390i
$771$	3.86565	−	2.48430i	0.139218	−	0.0894700i
$772$	1.66318	−	23.2543i	0.0598592	−	0.836941i
$773$	9.46013	+	5.16562i	0.340257	+	0.185794i	0.640288	−	0.768135i	$-0.278815\pi$
$773$	9.46013	+	5.16562i	0.340257	+	0.185794i	−0.300031	+	0.953930i	$0.596997\pi$
$774$	3.82870	−	26.6292i	0.137620	−	0.957166i
$775$	−13.2922	+	43.4135i	−0.477471	+	1.55946i
$776$	10.9589	+	5.00476i	0.393401	+	0.179660i
$777$	2.08198	+	3.81286i	0.0746905	+	0.136785i
$778$	4.29554	−	11.5168i	0.154003	−	0.412897i
$779$	−3.64464	−	25.3490i	−0.130583	−	0.908223i
$780$	−0.316807	+	0.834685i	−0.0113435	+	0.0298865i
$781$		−	2.64589i		−	0.0946773i
$782$	−12.2057	+	3.75864i	−0.436475	+	0.134409i
$783$	15.6972	−	15.6972i	0.560971	−	0.560971i
$784$	−0.334838	+	0.521018i	−0.0119585	+	0.0186078i
$785$	13.4252	−	28.9547i	0.479165	−	1.03344i
$786$	−3.16590	−	6.93235i	−0.112924	−	0.247269i
$787$	−21.9909	+	12.0079i	−0.783890	+	0.428036i	−0.820752	−	0.571284i	$-0.806446\pi$
$787$	−21.9909	+	12.0079i	−0.783890	+	0.428036i	0.0368623	+	0.999320i	$0.488264\pi$
$788$	5.68343	+	15.2379i	0.202464	+	0.542826i
$789$	−7.62607	+	8.80096i	−0.271495	+	0.313322i
$790$	12.6099	+	11.0543i	0.448640	+	0.393294i
$791$	16.2509	−	4.77171i	0.577817	−	0.169662i
$792$	0.813667	+	0.0581946i	0.0289124	+	0.00206786i
$793$	6.47159	+	1.40781i	0.229813	+	0.0499927i
$794$	−4.28451	−	6.66682i	−0.152052	−	0.236597i
$795$	−5.10028	+	6.73204i	−0.180888	+	0.238761i
$796$	2.11282	+	7.19560i	0.0748869	+	0.255041i
$797$	29.2439	+	39.0653i	1.03587	+	1.38376i	0.920635	+	0.390425i	$0.127672\pi$
$797$	29.2439	+	39.0653i	1.03587	+	1.38376i	0.115237	+	0.993338i	$0.463237\pi$
$798$	−0.413799	−	5.78567i	−0.0146483	−	0.204810i
$799$	−7.68671	+	16.8315i	−0.271936	+	0.595457i
$800$	−3.96794	−	3.04228i	−0.140288	−	0.107561i
$801$	−8.76713	+	4.00381i	−0.309771	+	0.141468i
$802$	11.1587	+	8.35327i	0.394026	+	0.294964i
$803$	0.648535	+	2.98127i	0.0228863	+	0.105207i
$804$	−5.00937			−0.176667
$805$	−28.4627	−	8.13005i	−1.00318	−	0.286547i
$806$	−5.56132			−0.195889
$807$	−2.45568	−	11.2886i	−0.0864439	−	0.397376i
$808$	7.29943	+	5.46428i	0.256793	+	0.192233i
$809$	26.4368	−	12.0733i	0.929468	−	0.424474i	0.107627	−	0.994191i	$-0.465675\pi$
$809$	26.4368	−	12.0733i	0.929468	−	0.424474i	0.821841	+	0.569718i	$0.192947\pi$
$810$	9.09543	−	7.79000i	0.319581	−	0.273713i
$811$	−6.40557	+	14.0262i	−0.224930	+	0.492528i	−0.988127	−	0.153637i	$-0.950901\pi$
$811$	−6.40557	+	14.0262i	−0.224930	+	0.492528i	0.763197	+	0.646166i	$0.223628\pi$
$812$	−1.20277	−	16.8169i	−0.0422088	−	0.590156i
$813$	11.3769	+	15.1977i	0.399005	+	0.533008i
$814$	−0.215464	−	0.733802i	−0.00755200	−	0.0257198i
$815$	3.62409	+	26.2794i	0.126946	+	0.920526i
$816$	0.938595	+	1.46048i	0.0328574	+	0.0511271i
$817$	32.9071	+	7.15851i	1.15127	+	0.250444i
$818$	1.46110	+	0.104500i	0.0510861	+	0.00365375i
$819$	−4.17678	+	1.22641i	−0.145948	+	0.0428543i
$820$	1.16535	+	17.7275i	0.0406957	+	0.619071i
$821$	34.3007	−	39.5851i	1.19710	−	1.38153i	0.291956	−	0.956432i	$-0.405694\pi$
$821$	34.3007	−	39.5851i	1.19710	−	1.38153i	0.905147	−	0.425099i	$-0.139761\pi$
$822$	−4.18764	−	11.2275i	−0.146061	−	0.391604i
$823$	3.01630	−	1.64702i	0.105142	−	0.0574116i	−0.425818	−	0.904809i	$-0.640014\pi$
$823$	3.01630	−	1.64702i	0.105142	−	0.0574116i	0.530959	+	0.847397i	$0.321832\pi$
$824$	−1.91838	−	4.20067i	−0.0668301	−	0.146337i
$825$	−0.231106	+	1.00644i	−0.00804609	+	0.0350397i
$826$	5.99561	−	9.32935i	0.208614	−	0.324610i
$827$	27.7239	−	27.7239i	0.964054	−	0.964054i	−0.0353224	−	0.999376i	$-0.511246\pi$
$827$	27.7239	−	27.7239i	0.964054	−	0.964054i	0.999376	+	0.0353224i	$0.0112458\pi$
$828$	5.27707	+	11.1650i	0.183391	+	0.388009i
$829$			5.54125i			0.192455i	0.995359	+	0.0962277i	$0.0306777\pi$
$829$			5.54125i			0.192455i	−0.995359	+	0.0962277i	$0.969322\pi$
$830$	−2.13716	−	0.811166i	−0.0741819	−	0.0281560i
$831$	−2.18328	−	15.1851i	−0.0757372	−	0.526764i
$832$	0.214026	−	0.573827i	0.00742003	−	0.0198939i
$833$	−0.790422	−	1.44755i	−0.0273865	−	0.0501546i
$834$	−3.70927	−	1.69397i	−0.128442	−	0.0586573i
$835$	8.25356	+	28.7197i	0.285626	+	0.993887i
$836$	−0.145323	+	1.01074i	−0.00502610	+	0.0349573i
$837$	−28.9661	−	15.8167i	−1.00122	−	0.546706i
$838$	0.00981441	−	0.137223i	0.000339033	−	0.00474030i
$839$	17.9179	−	11.5151i	0.618595	−	0.397547i	−0.193477	−	0.981105i	$-0.561976\pi$
$839$	17.9179	−	11.5151i	0.618595	−	0.397547i	0.812071	+	0.583558i	$0.198340\pi$
$840$	−0.0231673	+	4.02378i	−0.000799349	+	0.138833i
$841$	5.43986	+	6.27793i	0.187581	+	0.216480i
$842$	−15.8644	+	29.0534i	−0.546722	+	1.00125i
$843$	−12.6959	+	9.50402i	−0.437270	+	0.327336i
$844$	17.5817	+	15.2347i	0.605189	+	0.524399i
$845$	6.15948	−	27.5500i	0.211892	−	0.947749i
$846$	17.1674	+	5.04080i	0.590227	+	0.173306i
$847$	28.1895	+	10.5141i	0.968602	+	0.361270i
$848$	3.47210	−	4.63818i	0.119232	−	0.159276i
$849$	−1.22257	−	0.785698i	−0.0419585	−	0.0269651i
$850$	12.1747	−	5.39143i	0.417587	−	0.184925i
$851$	8.07851	−	8.29344i	0.276928	−	0.284295i
$852$	−3.85013	−	3.85013i	−0.131903	−	0.131903i
$853$	−53.4367	+	11.6244i	−1.82964	+	0.398013i	−0.989520	−	0.144394i	$-0.953877\pi$
$853$	−53.4367	+	11.6244i	−1.82964	+	0.398013i	−0.840116	+	0.542407i	$0.817513\pi$
$854$	29.5462	−	4.24811i	1.01105	−	0.145367i
$855$	11.0366	+	14.9214i	0.377443	+	0.510303i
$856$	1.39387	−	4.74710i	0.0476416	−	0.162253i
$857$	−21.5631	+	8.04263i	−0.736583	+	0.274731i	−0.689626	−	0.724166i	$-0.742225\pi$
$857$	−21.5631	+	8.04263i	−0.736583	+	0.274731i	−0.0469568	+	0.998897i	$0.514952\pi$
$858$	−0.126163	+	0.00902337i	−0.00430714	+	0.000308053i
$859$	−54.0648	−	7.77335i	−1.84467	−	0.265223i	−0.870684	−	0.491842i	$-0.836324\pi$
$859$	−54.0648	−	7.77335i	−1.84467	−	0.265223i	−0.973983	+	0.226619i	$0.927233\pi$
$860$	−22.3774	−	6.71078i	−0.763063	−	0.228836i
$861$	10.8052	−	9.36276i	0.368240	−	0.319082i
$862$	6.73173	−	30.9453i	0.229284	−	1.05400i
$863$	9.96267	−	45.7977i	0.339133	−	1.55897i	−0.419686	−	0.907669i	$-0.637860\pi$
$863$	9.96267	−	45.7977i	0.339133	−	1.55897i	0.758819	−	0.651301i	$-0.225777\pi$
$864$	2.74675	−	2.38008i	0.0934465	−	0.0809718i
$865$	−24.9826	−	7.49205i	−0.849433	−	0.254737i
$866$	36.7206	+	5.27963i	1.24782	+	0.179409i
$867$	6.44307	−	0.460818i	0.218818	−	0.0156502i
$868$	−23.4849	+	8.75940i	−0.797128	+	0.297313i
$869$	−0.669335	+	2.27954i	−0.0227056	+	0.0773282i
$870$	−5.29474	−	7.15849i	−0.179509	−	0.242695i
$871$	−4.65808	+	0.669731i	−0.157833	+	0.0226930i
$872$	7.79347	−	1.69536i	0.263920	−	0.0574123i
$873$	21.9362	+	21.9362i	0.742429	+	0.742429i
$874$	−14.4117	+	5.59187i	−0.487484	+	0.189148i
$875$	30.4667	+	4.91896i	1.02996	+	0.166291i
$876$	5.28186	+	3.39444i	0.178457	+	0.114688i
$877$	−1.07608	+	1.43747i	−0.0363365	+	0.0485399i	−0.818342	−	0.574732i	$-0.805106\pi$
$877$	−1.07608	+	1.43747i	−0.0363365	+	0.0485399i	0.782005	+	0.623272i	$0.214197\pi$
$878$	9.31678	+	3.47498i	0.314426	+	0.117275i
$879$	16.0180	+	4.70332i	0.540275	+	0.158639i
$880$	0.154559	−	0.691309i	0.00521018	−	0.0233040i
$881$	−36.2934	−	31.4484i	−1.22276	−	1.05952i	−0.996339	−	0.0854948i	$-0.972753\pi$
$881$	−36.2934	−	31.4484i	−1.22276	−	1.05952i	−0.226418	−	0.974030i	$-0.572702\pi$
$882$	−1.27669	+	0.955718i	−0.0429884	+	0.0321807i
$883$	−2.42340	+	4.43813i	−0.0815540	+	0.149355i	−0.915273	−	0.402834i	$-0.868025\pi$
$883$	−2.42340	+	4.43813i	−0.0815540	+	0.149355i	0.833719	+	0.552189i	$0.186207\pi$
$884$	1.06804	+	1.23258i	0.0359219	+	0.0414561i
$885$	0.0337197	−	5.85654i	0.00113347	−	0.196866i
$886$	32.5323	−	20.9072i	1.09294	−	0.702393i
$887$	1.51833	−	21.2290i	0.0509806	−	0.712802i	−0.906115	−	0.423031i	$-0.860966\pi$
$887$	1.51833	−	21.2290i	0.0509806	−	0.712802i	0.957096	−	0.289771i	$-0.0935792\pi$
$888$	−1.38131	−	0.754254i	−0.0463538	−	0.0253111i
$889$	5.28488	−	36.7572i	0.177249	−	1.23280i
$890$	2.31169	+	8.04393i	0.0774880	+	0.269633i
$891$	1.54330	+	0.704802i	0.0517025	+	0.0236118i
$892$	−3.17093	−	5.80713i	−0.106171	−	0.194437i
$893$	−7.82698	+	20.9849i	−0.261920	+	0.702234i
$894$	1.83739	+	12.7793i	0.0614515	+	0.427405i
$895$	21.2592	+	8.06901i	0.710618	+	0.269717i
$896$		−	2.76031i		−	0.0922156i
$897$	−1.05628	−	1.59711i	−0.0352682	−	0.0533261i
$898$	13.1625	−	13.1625i	0.439239	−	0.439239i
$899$	29.9859	−	46.6589i	1.00008	−	1.55616i
$900$	−6.83555	−	10.9105i	−0.227852	−	0.363685i
$901$	6.40941	+	14.0346i	0.213528	+	0.467562i
$902$	−2.20909	+	1.20625i	−0.0735546	+	0.0401639i
$903$	6.57027	+	17.6156i	0.218645	+	0.586210i
$904$	−4.01816	+	4.63720i	−0.133642	+	0.154231i
$905$	2.60681	+	39.6554i	0.0866535	+	1.31819i
$906$	3.73850	−	1.09772i	0.124203	−	0.0364694i
$907$	28.0297	+	2.00472i	0.930710	+	0.0665657i	0.528454	−	0.848962i	$-0.322772\pi$
$907$	28.0297	+	2.00472i	0.930710	+	0.0665657i	0.402256	+	0.915527i	$0.368226\pi$
$908$	−13.4950	−	2.93566i	−0.447848	−	0.0974234i
$909$	12.6938	+	19.7519i	0.421025	+	0.655128i
$910$	0.516419	+	3.74470i	0.0171191	+	0.124136i
$911$	1.96962	+	6.70790i	0.0652563	+	0.222243i	0.985665	−	0.168715i	$-0.0539619\pi$
$911$	1.96962	+	6.70790i	0.0652563	+	0.222243i	−0.920408	+	0.390958i	$0.872144\pi$
$912$	1.25930	+	1.68223i	0.0416997	+	0.0557043i
$913$	−0.0231038	−	0.323033i	−0.000764624	−	0.0106908i
$914$	2.05692	−	4.50403i	0.0680370	−	0.148980i
$915$	11.9729	−	10.2545i	0.395813	−	0.339004i
$916$	−20.8428	+	9.51857i	−0.688664	+	0.314502i
$917$	−25.8321	−	19.3377i	−0.853051	−	0.638586i
$918$	2.05734	+	9.45744i	0.0679024	+	0.312142i
$919$	7.24774			0.239081			0.119540	−	0.992829i	$-0.461858\pi$
$919$	7.24774			0.239081			0.119540	+	0.992829i	$0.461858\pi$
$920$	10.2669	−	3.09699i	0.338489	−	0.102105i
$921$	−7.83814			−0.258275
$922$	4.19573	+	19.2875i	0.138179	+	0.635198i
$923$	−4.09488	−	3.06539i	−0.134785	−	0.100898i
$924$	−0.518561	+	0.236819i	−0.0170594	+	0.00779078i
$925$	−7.34443	+	9.57908i	−0.241483	+	0.314958i
$926$	−5.89248	+	12.9027i	−0.193639	+	0.424010i
$927$	−0.848316	−	11.8610i	−0.0278624	−	0.389567i
$928$	3.66035	+	4.88966i	0.120157	+	0.160511i
$929$	−13.1265	−	44.7047i	−0.430666	−	1.46671i	−0.834053	−	0.551684i	$-0.813986\pi$
$929$	−13.1265	−	44.7047i	−0.430666	−	1.46671i	0.403388	−	0.915029i	$-0.367833\pi$
$930$	−7.99363	+	10.5511i	−0.262121	+	0.345983i
$931$	−1.07929	−	1.67941i	−0.0353724	−	0.0550406i
$932$	−2.31202	−	0.502948i	−0.0757326	−	0.0164746i
$933$	−11.0189	−	0.788088i	−0.360743	−	0.0258009i
$934$	20.8939	−	6.13499i	0.683668	−	0.200743i
$935$	1.41852	+	1.24352i	0.0463904	+	0.0406675i
$936$	1.03274	−	1.19184i	0.0337561	−	0.0389566i
$937$	−15.9784	−	42.8398i	−0.521992	−	1.39952i	−0.884064	−	0.467365i	$-0.845203\pi$
$937$	−15.9784	−	42.8398i	−0.521992	−	1.39952i	0.362072	−	0.932150i	$-0.382069\pi$
$938$	−18.6157	+	10.1650i	−0.607825	+	0.331898i
$939$	−4.82359	−	10.5622i	−0.157412	−	0.344684i
$940$	6.53563	−	14.0957i	0.213169	−	0.459751i
$941$	5.27804	−	8.21278i	0.172059	−	0.267729i	−0.744505	−	0.667617i	$-0.767315\pi$
$941$	5.27804	−	8.21278i	0.172059	−	0.267729i	0.916564	+	0.399888i	$0.130951\pi$
$942$	6.57963	−	6.57963i	0.214376	−	0.214376i
$943$	−32.3222	−	20.1777i	−1.05256	−	0.657075i
$944$			4.01760i			0.130762i
$945$	−7.96038	+	20.9730i	−0.258951	+	0.682252i
$946$	−0.471035	−	3.27612i	−0.0153147	−	0.106516i
$947$	−18.1408	+	48.6375i	−0.589498	+	1.58051i	0.208615	+	0.977998i	$0.433105\pi$
$947$	−18.1408	+	48.6375i	−0.589498	+	1.58051i	−0.798113	+	0.602508i	$0.794168\pi$
$948$	2.34308	+	4.29102i	0.0760996	+	0.139366i
$949$	5.36528	+	2.45024i	0.174164	+	0.0795383i
$950$	14.2333	−	7.56050i	0.461788	−	0.245295i
$951$	−1.83038	+	12.7306i	−0.0593542	+	0.412817i
$952$	6.45158	+	3.52283i	0.209097	+	0.114176i
$953$	−0.0476903	+	0.666798i	−0.00154484	+	0.0215997i	−0.998166	−	0.0605352i	$-0.980719\pi$
$953$	−0.0476903	+	0.666798i	−0.00154484	+	0.0215997i	0.996621	+	0.0821349i	$0.0261738\pi$
$954$	12.5507	−	8.06582i	0.406343	−	0.261141i
$955$	21.1802	−	20.9377i	0.685375	−	0.677528i
$956$	11.7610	+	13.5729i	0.380377	+	0.438978i
$957$	0.604549	−	1.10715i	0.0195423	−	0.0357891i
$958$	−24.3189	+	18.2049i	−0.785708	+	0.588174i
$959$	−38.3447	−	33.2259i	−1.23822	−	1.07292i
$960$	−0.781044	−	1.23085i	−0.0252081	−	0.0397256i
$961$	−49.3724	−	14.4970i	−1.59266	−	0.467647i
$962$	−1.38529	−	0.516685i	−0.0446634	−	0.0166586i
$963$	7.63468	−	10.1987i	0.246024	−	0.328650i
$964$	0.486139	+	0.312423i	0.0156575	+	0.0100625i
$965$	−43.6924	−	28.4362i	−1.40651	−	0.915393i
$966$	−6.97611	−	5.08074i	−0.224453	−	0.163470i
$967$	−18.4956	−	18.4956i	−0.594777	−	0.594777i	0.344141	−	0.938918i	$-0.388170\pi$
$967$	−18.4956	−	18.4956i	−0.594777	−	0.594777i	−0.938918	+	0.344141i	$0.888170\pi$
$968$	−10.6505	+	2.31689i	−0.342322	+	0.0744675i
$969$	−5.53900	+	0.796388i	−0.177938	+	0.0255837i
$970$	21.6586	−	16.0197i	0.695416	−	0.514361i
$971$	7.37991	−	25.1337i	0.236833	−	0.806577i	−0.752207	−	0.658927i	$-0.771011\pi$
$971$	7.37991	−	25.1337i	0.236833	−	0.806577i	0.989040	−	0.147651i	$-0.0471711\pi$
$972$	13.4873	−	5.03049i	0.432604	−	0.161353i
$973$	−17.2217	+	1.23172i	−0.552103	+	0.0394872i
$974$	19.7065	+	2.83336i	0.631436	+	0.0907868i
$975$	1.28986	+	1.52368i	0.0413085	+	0.0487967i
$976$	−8.17268	+	7.08167i	−0.261601	+	0.226679i
$977$	7.45039	−	34.2489i	0.238359	−	1.09572i	−0.689934	−	0.723872i	$-0.742361\pi$
$977$	7.45039	−	34.2489i	0.238359	−	1.09572i	0.928294	−	0.371848i	$-0.121276\pi$
$978$	−1.64403	+	7.55750i	−0.0525704	+	0.241662i
$979$	−0.896132	+	0.776502i	−0.0286405	+	0.0248171i
$980$	0.656691	+	1.21928i	0.0209772	+	0.0389484i
$981$	20.3284	+	2.92279i	0.649037	+	0.0933174i
$982$	31.9273	−	2.28349i	1.01884	−	0.0728689i
$983$	−39.8425	+	14.8605i	−1.27078	+	0.473975i	−0.892219	−	0.451602i	$-0.850853\pi$
$983$	−39.8425	+	14.8605i	−1.27078	+	0.473975i	−0.378558	+	0.925578i	$0.623580\pi$
$984$	−1.45926	+	4.96979i	−0.0465196	+	0.158431i
$985$	35.9652	+	5.38255i	1.14595	+	0.171502i
$986$	−16.0999	+	2.31482i	−0.512726	+	0.0737188i
$987$	−12.2181	+	2.65787i	−0.388905	+	0.0846011i
$988$	1.39590	+	1.39590i	0.0444095	+	0.0444095i
$989$	39.7142	−	30.5513i	1.26284	−	0.971474i
$990$	0.994981	−	1.52880i	0.0316226	−	0.0485883i
$991$	−35.2269	−	22.6390i	−1.11902	−	0.719150i	−0.155779	−	0.987792i	$-0.549789\pi$
$991$	−35.2269	−	22.6390i	−1.11902	−	0.719150i	−0.963240	+	0.268642i	$0.913425\pi$
$992$	5.44178	−	7.26937i	0.172777	−	0.230803i
$993$	10.9663	+	4.09020i	0.348004	+	0.129799i
$994$	−22.1204	−	6.49514i	−0.701617	−	0.206013i
$995$	16.3651	+	3.65882i	0.518809	+	0.115992i
$996$	−0.503676	−	0.436438i	−0.0159596	−	0.0138291i
$997$	−33.2259	+	24.8726i	−1.05228	+	0.787724i	−0.977809	−	0.209500i	$-0.932816\pi$
$997$	−33.2259	+	24.8726i	−1.05228	+	0.787724i	−0.0744670	+	0.997223i	$0.523726\pi$
$998$	16.2862	−	29.8260i	0.515532	−	0.944126i
$999$	−5.74579	−	6.63099i	−0.181789	−	0.209795i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	230.2.l.a.67.10	yes	240
5.3	odd	4	inner	230.2.l.a.113.9	yes	240
23.11	odd	22	inner	230.2.l.a.57.9	✓	240
115.103	even	44	inner	230.2.l.a.103.10	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.l.a.57.9	✓	240	23.11	odd	22	inner
230.2.l.a.67.10	yes	240	1.1	even	1	trivial
230.2.l.a.103.10	yes	240	115.103	even	44	inner
230.2.l.a.113.9	yes	240	5.3	odd	4	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(0.212565 + 0.977147i) q^{2} +(0.521893 + 0.390684i) q^{3} +(-0.909632 + 0.415415i) q^{4} +(-0.172358 + 2.22942i) q^{5} +(-0.270819 + 0.593012i) q^{6} +(0.196919 + 2.75328i) q^{7} +(-0.599278 - 0.800541i) q^{8} +(-0.725460 - 2.47069i) q^{9} +O(q^{10})\)	\(q+(0.212565 + 0.977147i) q^{2} +(0.521893 + 0.390684i) q^{3} +(-0.909632 + 0.415415i) q^{4} +(-0.172358 + 2.22942i) q^{5} +(-0.270819 + 0.593012i) q^{6} +(0.196919 + 2.75328i) q^{7} +(-0.599278 - 0.800541i) q^{8} +(-0.725460 - 2.47069i) q^{9} +(-2.21510 + 0.305477i) q^{10} +(-0.171272 - 0.266505i) q^{11} +(-0.637026 - 0.138577i) q^{12} +(-0.610881 - 0.0436911i) q^{13} +(-2.64850 + 0.777670i) q^{14} +(-0.960949 + 1.09618i) q^{15} +(0.654861 - 0.755750i) q^{16} +(0.930625 + 2.49510i) q^{17} +(2.26002 - 1.23406i) q^{18} +(1.33902 + 2.93205i) q^{19} +(-0.769350 - 2.09955i) q^{20} +(-0.972892 + 1.51385i) q^{21} +(0.224008 - 0.224008i) q^{22} +(4.61891 + 1.29062i) q^{23} -0.651925i q^{24} +(-4.94059 - 0.768515i) q^{25} +(-0.0871595 - 0.606208i) q^{26} +(1.27012 - 3.40532i) q^{27} +(-1.32288 - 2.42267i) q^{28} +(5.55597 + 2.53733i) q^{29} +(-1.27539 - 0.705979i) q^{30} +(1.29230 - 8.98814i) q^{31} +(0.877679 + 0.479249i) q^{32} +(0.0147334 - 0.206000i) q^{33} +(-2.24026 + 1.43973i) q^{34} +(-6.17215 - 0.0355368i) q^{35} +(1.68626 + 1.94605i) q^{36} +(1.15696 - 2.11882i) q^{37} +(-2.58041 + 1.93167i) q^{38} +(-0.301745 - 0.261463i) q^{39} +(1.88803 - 1.19806i) q^{40} +(-7.62326 - 2.23839i) q^{41} +(-1.68606 - 0.628867i) q^{42} +(6.26113 - 8.36389i) q^{43} +(0.266505 + 0.171272i) q^{44} +(5.63323 - 1.19151i) q^{45} +(-0.279308 + 4.78769i) q^{46} +(4.91328 + 4.91328i) q^{47} +(0.637026 - 0.138577i) q^{48} +(-0.613031 + 0.0881405i) q^{49} +(-0.299245 - 4.99104i) q^{50} +(-0.489110 + 1.66576i) q^{51} +(0.573827 - 0.214026i) q^{52} +(5.77904 - 0.413325i) q^{53} +(3.59748 + 0.517240i) q^{54} +(0.623671 - 0.335903i) q^{55} +(2.08611 - 1.80762i) q^{56} +(-0.446679 + 2.05335i) q^{57} +(-1.29834 + 5.96835i) q^{58} +(-3.03630 + 2.63097i) q^{59} +(0.418741 - 1.39631i) q^{60} +(-10.7039 - 1.53899i) q^{61} +(9.05743 - 0.647801i) q^{62} +(6.65964 - 2.48392i) q^{63} +(-0.281733 + 0.959493i) q^{64} +(0.202696 - 1.35438i) q^{65} +(0.204424 - 0.0293918i) q^{66} +(7.50837 - 1.63335i) q^{67} +(-1.88303 - 1.88303i) q^{68} +(1.90635 + 2.47810i) q^{69} +(-1.27726 - 6.03865i) q^{70} +(7.02619 + 4.51545i) q^{71} +(-1.54314 + 2.06139i) q^{72} +(-9.02358 - 3.36562i) q^{73} +(2.31633 + 0.680136i) q^{74} +(-2.27821 - 2.33129i) q^{75} +(-2.43603 - 2.11083i) q^{76} +(0.700037 - 0.524041i) q^{77} +(0.191348 - 0.350427i) q^{78} +(-4.91108 - 5.66768i) q^{79} +(1.57201 + 1.59022i) q^{80} +(-4.50540 + 2.89544i) q^{81} +(0.566796 - 7.92485i) q^{82} +(0.897247 + 0.489934i) q^{83} +(0.256098 - 1.78120i) q^{84} +(-5.72302 + 1.64470i) q^{85} +(9.50365 + 4.34017i) q^{86} +(1.90833 + 3.49484i) q^{87} +(-0.110709 + 0.296821i) q^{88} +(-0.532679 - 3.70486i) q^{89} +(2.36171 + 5.25122i) q^{90} -1.69053i q^{91} +(-4.73765 + 0.744772i) q^{92} +(4.18596 - 4.18596i) q^{93} +(-3.75660 + 5.84539i) q^{94} +(-6.76754 + 2.47987i) q^{95} +(0.270819 + 0.593012i) q^{96} +(-10.5739 + 5.77381i) q^{97} +(-0.216435 - 0.580286i) q^{98} +(-0.534200 + 0.616500i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 8 q^{6}+O(q^{10}) \) 240 * q - 8 * q^3 - 8 * q^6	\( 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46} - 80 q^{47} + 8 q^{48} + 8 q^{50} + 16 q^{52} - 44 q^{56} - 88 q^{57} - 176 q^{61} - 32 q^{62} - 176 q^{66} + 24 q^{70} - 336 q^{71} + 16 q^{72} - 88 q^{73} - 36 q^{75} - 24 q^{77} + 40 q^{78} - 136 q^{81} + 40 q^{82} - 100 q^{85} - 44 q^{86} + 40 q^{87} + 8 q^{92} + 56 q^{93} + 52 q^{95} + 8 q^{96} + 132 q^{97} + 24 q^{98}+O(q^{100}) \) 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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