LMFDB - Embedded newform 158.2.g.b.13.3

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [158,2,Mod(5,158)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("158.5"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(158, base_ring=CyclotomicField(78)) chi = DirichletCharacter(H, H._module([62])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 158 = 2 \cdot 79 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	158.g (of order $39$, degree $24$, minimal)

Newform invariants

comment:select newform

sage:traces = [72,3] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(2)] == traces)

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

Self dual:	no
Analytic conductor:	$1.26163635194$
Analytic rank:	$0$
Dimension:	$72$
Relative dimension:	$3$ over $\Q(\zeta_{39})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{39}]$

Embedding invariants

Embedding label			13.3
Character	$\chi$	$=$	158.13
Dual form			158.2.g.b.73.3

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.692724 - 0.721202i) q^{2} +(0.262289 + 1.28478i) q^{3} +(-0.0402659 - 0.999189i) q^{4} +(-1.03100 - 0.0832311i) q^{5} +(1.10828 + 0.700833i) q^{6} +(4.03928 + 1.34851i) q^{7} +(-0.748511 - 0.663123i) q^{8} +(1.17808 - 0.501933i) q^{9} +(-0.774227 + 0.685905i) q^{10} +(1.29795 - 2.73538i) q^{11} +(1.27317 - 0.313809i) q^{12} +(-4.91775 + 3.10980i) q^{13} +(3.77066 - 1.97900i) q^{14} +(-0.163487 - 1.34644i) q^{15} +(-0.996757 + 0.0804666i) q^{16} +(1.54233 + 0.809477i) q^{17} +(0.454089 - 1.19734i) q^{18} +(-8.41607 + 1.36774i) q^{19} +(-0.0416494 + 1.03352i) q^{20} +(-0.673077 + 5.54328i) q^{21} +(-1.07364 - 2.83095i) q^{22} +(-2.99465 - 5.18689i) q^{23} +(0.655639 - 1.13560i) q^{24} +(-3.87921 - 0.630433i) q^{25} +(-1.16385 + 5.70093i) q^{26} +(3.18854 + 4.61940i) q^{27} +(1.18477 - 4.09031i) q^{28} +(2.52993 - 1.90112i) q^{29} +(-1.08431 - 0.814804i) q^{30} +(-1.52541 - 5.26632i) q^{31} +(-0.632445 + 0.774605i) q^{32} +(3.85479 + 0.950121i) q^{33} +(1.65221 - 0.551587i) q^{34} +(-4.05228 - 1.72651i) q^{35} +(-0.548962 - 1.15691i) q^{36} +(4.03050 + 4.93646i) q^{37} +(-4.84359 + 7.01716i) q^{38} +(-5.28528 - 5.50256i) q^{39} +(0.716524 + 0.745981i) q^{40} +(4.45842 - 6.45913i) q^{41} +(3.53157 + 4.32539i) q^{42} +(-0.0870556 - 0.183466i) q^{43} +(-2.78542 - 1.18676i) q^{44} +(-1.25638 + 0.419441i) q^{45} +(-5.81527 - 1.43334i) q^{46} +(-6.36188 + 7.79189i) q^{47} +(-0.364820 - 1.25951i) q^{48} +(8.90124 + 6.68885i) q^{49} +(-3.14189 + 2.36098i) q^{50} +(-0.635461 + 2.19387i) q^{51} +(3.30530 + 4.78855i) q^{52} +(-1.21172 + 5.93541i) q^{53} +(5.54030 + 0.900387i) q^{54} +(-1.56586 + 2.71215i) q^{55} +(-2.12922 - 3.68792i) q^{56} +(-3.96469 - 10.4540i) q^{57} +(0.381453 - 3.14154i) q^{58} +(0.142691 - 3.54084i) q^{59} +(-1.33877 + 0.217571i) q^{60} +(-1.81432 + 4.78396i) q^{61} +(-4.85477 - 2.54798i) q^{62} +(5.43546 - 0.438796i) q^{63} +(0.120537 + 0.992709i) q^{64} +(5.32905 - 2.79690i) q^{65} +(3.35554 - 2.12191i) q^{66} +(5.66821 - 1.39709i) q^{67} +(0.746717 - 1.57367i) q^{68} +(5.87854 - 5.20793i) q^{69} +(-4.05228 + 1.72651i) q^{70} +(6.55156 + 5.80418i) q^{71} +(-1.21465 - 0.405509i) q^{72} +(0.531276 + 0.335959i) q^{73} +(6.35221 + 0.512803i) q^{74} +(-0.207509 - 5.14928i) q^{75} +(1.70552 + 8.35417i) q^{76} +(8.93149 - 9.29867i) q^{77} -7.62970 q^{78} +(1.09227 - 8.82082i) q^{79} +1.03436 q^{80} +(-2.43738 + 2.53758i) q^{81} +(-1.56989 - 7.68982i) q^{82} +(-0.648243 - 16.0860i) q^{83} +(5.56589 + 0.449325i) q^{84} +(-1.52277 - 0.962943i) q^{85} +(-0.192621 - 0.0643065i) q^{86} +(3.10609 + 2.75176i) q^{87} +(-2.78542 + 1.18676i) q^{88} +(-3.88829 + 3.44473i) q^{89} +(-0.567823 + 1.19666i) q^{90} +(-24.0578 + 5.92972i) q^{91} +(-5.06210 + 3.20108i) q^{92} +(6.36596 - 3.34111i) q^{93} +(1.21250 + 9.98583i) q^{94} +(8.79083 - 0.709669i) q^{95} +(-1.16108 - 0.609381i) q^{96} +(0.349948 - 0.922736i) q^{97} +(10.9901 - 1.78607i) q^{98} +(0.156116 - 3.87398i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q + 3 q^{2} + q^{3} + 3 q^{4} - 14 q^{5} + q^{6} - 6 q^{8} + 2 q^{9} + 2 q^{10} + 5 q^{11} - 2 q^{12} - 21 q^{13} - 13 q^{14} - 4 q^{15} + 3 q^{16} + 30 q^{17} - 4 q^{18} - 26 q^{19} - q^{20} - 8 q^{21}+ \cdots - 44 q^{99}+O(q^{100}) $ 72 * q + 3 * q^2 + q^3 + 3 * q^4 - 14 * q^5 + q^6 - 6 * q^8 + 2 * q^9 + 2 * q^10 + 5 * q^11 - 2 * q^12 - 21 * q^13 - 13 * q^14 - 4 * q^15 + 3 * q^16 + 30 * q^17 - 4 * q^18 - 26 * q^19 - q^20 - 8 * q^21 - 23 * q^22 - 5 * q^23 - 12 * q^24 - 17 * q^25 + 31 * q^26 - 59 * q^27 - 2 * q^29 - 37 * q^30 - 19 * q^31 + 3 * q^32 + 76 * q^33 + 11 * q^34 - 17 * q^35 + 2 * q^36 - 19 * q^37 - 12 * q^39 - q^40 + 18 * q^41 + 17 * q^42 - 29 * q^43 - 21 * q^44 - 65 * q^45 - 16 * q^46 - 17 * q^47 + q^48 - 23 * q^49 - 30 * q^50 - 45 * q^51 - 10 * q^52 + 60 * q^53 - 29 * q^54 - 14 * q^55 - 26 * q^56 - 52 * q^57 + 4 * q^58 - 14 * q^59 + 67 * q^60 - 33 * q^61 + 51 * q^62 - 33 * q^63 - 6 * q^64 + 28 * q^65 + 40 * q^66 - 2 * q^67 + 37 * q^68 + 172 * q^69 - 17 * q^70 + 54 * q^71 + 2 * q^72 - 91 * q^73 + 59 * q^74 + 115 * q^75 + 39 * q^76 - 98 * q^77 + 24 * q^78 + 152 * q^79 + 2 * q^80 + 77 * q^81 + 4 * q^82 - 82 * q^83 - 9 * q^84 + 175 * q^85 + 49 * q^86 + 21 * q^87 - 21 * q^88 + 74 * q^89 - 39 * q^90 + 53 * q^91 + 21 * q^92 + 8 * q^93 + 112 * q^94 - 2 * q^96 + 34 * q^97 + 16 * q^98 - 44 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/158\mathbb{Z}\right)^\times$.

$n$	$3$
$\chi(n)$	$e\left(\frac{17}{39}\right)$

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 $

$2$	0.692724	−	0.721202i	0.489830	−	0.509967i
$2$	0.692724	−	0.721202i	0.489830	−	0.509967i
$3$	0.262289	+	1.28478i	0.151433	+	0.741767i	0.982599	+	0.185742i	$0.0594689\pi$
$3$	0.262289	+	1.28478i	0.151433	+	0.741767i	−0.831166	+	0.556025i	$0.812326\pi$
$4$	−0.0402659	−	0.999189i	−0.0201330	−	0.499594i
$5$	−1.03100	−	0.0832311i	−0.461078	−	0.0372221i	−0.152255	−	0.988341i	$-0.548653\pi$
$5$	−1.03100	−	0.0832311i	−0.461078	−	0.0372221i	−0.308824	+	0.951119i	$0.599935\pi$
$6$	1.10828	+	0.700833i	0.452453	+	0.286114i
$7$	4.03928	+	1.34851i	1.52671	+	0.509689i	0.951323	−	0.308195i	$-0.0997248\pi$
$7$	4.03928	+	1.34851i	1.52671	+	0.509689i	0.575383	+	0.817884i	$0.304853\pi$
$8$	−0.748511	−	0.663123i	−0.264639	−	0.234449i
$9$	1.17808	−	0.501933i	0.392693	−	0.167311i
$10$	−0.774227	+	0.685905i	−0.244832	+	0.216902i
$11$	1.29795	−	2.73538i	0.391348	−	0.824748i	−0.608173	−	0.793804i	$-0.708097\pi$
$11$	1.29795	−	2.73538i	0.391348	−	0.824748i	0.999521	−	0.0309436i	$-0.00985123\pi$
$12$	1.27317	−	0.313809i	0.367534	−	0.0905890i
$13$	−4.91775	+	3.10980i	−1.36394	+	0.862503i	−0.997685	−	0.0680112i	$-0.978335\pi$
$13$	−4.91775	+	3.10980i	−1.36394	+	0.862503i	−0.366255	+	0.930514i	$0.619360\pi$
$14$	3.77066	−	1.97900i	1.00775	−	0.528909i
$15$	−0.163487	−	1.34644i	−0.0422123	−	0.347649i
$16$	−0.996757	+	0.0804666i	−0.249189	+	0.0201166i
$17$	1.54233	+	0.809477i	0.374070	+	0.196327i	0.641272	−	0.767313i	$-0.278407\pi$
$17$	1.54233	+	0.809477i	0.374070	+	0.196327i	−0.267202	+	0.963640i	$0.586099\pi$
$18$	0.454089	−	1.19734i	0.107030	−	0.282215i
$19$	−8.41607	+	1.36774i	−1.93078	+	0.313782i	−0.998811	−	0.0487596i	$-0.984473\pi$
$19$	−8.41607	+	1.36774i	−1.93078	+	0.313782i	−0.931968	+	0.362542i	$0.881909\pi$
$20$	−0.0416494	+	1.03352i	−0.00931308	+	0.231102i
$21$	−0.673077	+	5.54328i	−0.146877	+	1.20964i
$22$	−1.07364	−	2.83095i	−0.228900	−	0.603561i
$23$	−2.99465	−	5.18689i	−0.624429	−	1.08154i	−0.988651	−	0.150230i	$-0.951999\pi$
$23$	−2.99465	−	5.18689i	−0.624429	−	1.08154i	0.364222	−	0.931312i	$-0.381335\pi$
$24$	0.655639	−	1.13560i	0.133832	−	0.231803i
$25$	−3.87921	−	0.630433i	−0.775842	−	0.126087i
$26$	−1.16385	+	5.70093i	−0.228250	+	1.11804i
$27$	3.18854	+	4.61940i	0.613635	+	0.889004i
$28$	1.18477	−	4.09031i	0.223901	−	0.772996i
$29$	2.52993	−	1.90112i	0.469796	−	0.353029i	−0.339326	−	0.940669i	$-0.610199\pi$
$29$	2.52993	−	1.90112i	0.469796	−	0.353029i	0.809123	+	0.587640i	$0.199943\pi$
$30$	−1.08431	−	0.814804i	−0.197967	−	0.148762i
$31$	−1.52541	−	5.26632i	−0.273972	−	0.945860i	−0.973008	−	0.230773i	$-0.925874\pi$
$31$	−1.52541	−	5.26632i	−0.273972	−	0.945860i	0.699036	−	0.715087i	$-0.253613\pi$
$32$	−0.632445	+	0.774605i	−0.111802	+	0.136932i
$33$	3.85479	+	0.950121i	0.671033	+	0.165395i
$34$	1.65221	−	0.551587i	0.283351	−	0.0945964i
$35$	−4.05228	−	1.72651i	−0.684960	−	0.291834i
$36$	−0.548962	−	1.15691i	−0.0914937	−	0.192819i
$37$	4.03050	+	4.93646i	0.662609	+	0.811549i	0.991123	−	0.132950i	$-0.0424450\pi$
$37$	4.03050	+	4.93646i	0.662609	+	0.811549i	−0.328513	+	0.944499i	$0.606548\pi$
$38$	−4.84359	+	7.01716i	−0.785735	+	1.13833i
$39$	−5.28528	−	5.50256i	−0.846322	−	0.881114i
$40$	0.716524	+	0.745981i	0.113292	+	0.117950i
$41$	4.45842	−	6.45913i	0.696288	−	1.00875i	−0.302171	−	0.953254i	$-0.597711\pi$
$41$	4.45842	−	6.45913i	0.696288	−	1.00875i	0.998459	−	0.0554935i	$-0.0176732\pi$
$42$	3.53157	+	4.32539i	0.544934	+	0.667423i
$43$	−0.0870556	−	0.183466i	−0.0132759	−	0.0279783i	0.896704	−	0.442630i	$-0.145955\pi$
$43$	−0.0870556	−	0.183466i	−0.0132759	−	0.0279783i	−0.909980	+	0.414652i	$0.863903\pi$
$44$	−2.78542	−	1.18676i	−0.419918	−	0.178911i
$45$	−1.25638	+	0.419441i	−0.187290	+	0.0625266i
$46$	−5.81527	−	1.43334i	−0.857415	−	0.211334i
$47$	−6.36188	+	7.79189i	−0.927976	+	1.13656i	0.0623852	+	0.998052i	$0.480129\pi$
$47$	−6.36188	+	7.79189i	−0.927976	+	1.13656i	−0.990361	+	0.138512i	$0.955768\pi$
$48$	−0.364820	−	1.25951i	−0.0526573	−	0.181794i
$49$	8.90124	+	6.68885i	1.27161	+	0.955550i
$50$	−3.14189	+	2.36098i	−0.444331	+	0.333893i
$51$	−0.635461	+	2.19387i	−0.0889824	+	0.307203i
$52$	3.30530	+	4.78855i	0.458362	+	0.664052i
$53$	−1.21172	+	5.93541i	−0.166443	+	0.815292i	0.807741	+	0.589537i	$0.200690\pi$
$53$	−1.21172	+	5.93541i	−0.166443	+	0.815292i	−0.974184	+	0.225754i	$0.927515\pi$
$54$	5.54030	+	0.900387i	0.753940	+	0.122527i
$55$	−1.56586	+	2.71215i	−0.211141	+	0.365707i
$56$	−2.12922	−	3.68792i	−0.284529	−	0.492819i
$57$	−3.96469	−	10.4540i	−0.525136	−	1.38467i
$58$	0.381453	−	3.14154i	0.0500872	−	0.412505i
$59$	0.142691	−	3.54084i	0.0185768	−	0.460978i	−0.962953	−	0.269669i	$-0.913086\pi$
$59$	0.142691	−	3.54084i	0.0185768	−	0.460978i	0.981530	−	0.191309i	$-0.0612732\pi$
$60$	−1.33877	+	0.217571i	−0.172834	+	0.0280882i
$61$	−1.81432	+	4.78396i	−0.232299	+	0.612523i	−0.999586	−	0.0287816i	$-0.990837\pi$
$61$	−1.81432	+	4.78396i	−0.232299	+	0.612523i	0.767286	+	0.641305i	$0.221606\pi$
$62$	−4.85477	−	2.54798i	−0.616557	−	0.323594i
$63$	5.43546	−	0.438796i	0.684804	−	0.0552831i
$64$	0.120537	+	0.992709i	0.0150671	+	0.124089i
$65$	5.32905	−	2.79690i	0.660987	−	0.346913i
$66$	3.35554	−	2.12191i	0.413038	−	0.261190i
$67$	5.66821	−	1.39709i	0.692482	−	0.170682i	0.122659	−	0.992449i	$-0.460858\pi$
$67$	5.66821	−	1.39709i	0.692482	−	0.170682i	0.569823	+	0.821767i	$0.307012\pi$
$68$	0.746717	−	1.57367i	0.0905527	−	0.190836i
$69$	5.87854	−	5.20793i	0.707693	−	0.626961i
$70$	−4.05228	+	1.72651i	−0.484340	+	0.206358i
$71$	6.55156	+	5.80418i	0.777527	+	0.688829i	0.955430	−	0.295219i	$-0.0953927\pi$
$71$	6.55156	+	5.80418i	0.777527	+	0.688829i	−0.177902	+	0.984048i	$0.556931\pi$
$72$	−1.21465	−	0.405509i	−0.143148	−	0.0477897i
$73$	0.531276	+	0.335959i	0.0621812	+	0.0393210i	0.565195	−	0.824958i	$-0.308801\pi$
$73$	0.531276	+	0.335959i	0.0621812	+	0.0393210i	−0.503013	+	0.864279i	$0.667775\pi$
$74$	6.35221	+	0.512803i	0.738429	+	0.0596122i
$75$	−0.207509	−	5.14928i	−0.0239611	−	0.594588i
$76$	1.70552	+	8.35417i	0.195636	+	0.958289i
$77$	8.93149	−	9.29867i	1.01784	−	1.05968i
$78$	−7.62970			−0.863893
$79$	1.09227	−	8.82082i	0.122890	−	0.992420i
$79$	1.09227	−	8.82082i	0.122890	−	0.992420i
$80$	1.03436			0.115645
$81$	−2.43738	+	2.53758i	−0.270820	+	0.281953i
$82$	−1.56989	−	7.68982i	−0.173365	−	0.849199i
$83$	−0.648243	−	16.0860i	−0.0711539	−	1.76567i	−0.503534	−	0.863975i	$-0.667967\pi$
$83$	−0.648243	−	16.0860i	−0.0711539	−	1.76567i	0.432380	−	0.901691i	$-0.357674\pi$
$84$	5.56589	+	0.449325i	0.607288	+	0.0490254i
$85$	−1.52277	−	0.962943i	−0.165168	−	0.104446i
$86$	−0.192621	−	0.0643065i	−0.0207709	−	0.00693435i
$87$	3.10609	+	2.75176i	0.333008	+	0.295019i
$88$	−2.78542	+	1.18676i	−0.296927	+	0.126509i
$89$	−3.88829	+	3.44473i	−0.412158	+	0.365140i	−0.843574	−	0.537013i	$-0.819553\pi$
$89$	−3.88829	+	3.44473i	−0.412158	+	0.365140i	0.431416	+	0.902153i	$0.358014\pi$
$90$	−0.567823	+	1.19666i	−0.0598538	+	0.126139i
$91$	−24.0578	+	5.92972i	−2.52194	+	0.621603i
$92$	−5.06210	+	3.20108i	−0.527761	+	0.333736i
$93$	6.36596	−	3.34111i	0.660119	−	0.346457i
$94$	1.21250	+	9.98583i	0.125060	+	1.02996i
$95$	8.79083	−	0.709669i	0.901920	−	0.0728105i
$96$	−1.16108	−	0.609381i	−0.118502	−	0.0621947i
$97$	0.349948	−	0.922736i	0.0355318	−	0.0936897i	−0.916076	−	0.401004i	$-0.868661\pi$
$97$	0.349948	−	0.922736i	0.0355318	−	0.0936897i	0.951608	+	0.307315i	$0.0994304\pi$
$98$	10.9901	−	1.78607i	1.11017	−	0.180420i
$99$	0.156116	−	3.87398i	0.0156903	−	0.389350i
$100$	−0.473722	+	3.90145i	−0.0473722	+	0.390145i
$101$	2.82069	+	7.43756i	0.280669	+	0.740065i	0.999015	+	0.0443779i	$0.0141306\pi$
$101$	2.82069	+	7.43756i	0.280669	+	0.740065i	−0.718345	+	0.695687i	$0.755100\pi$
$102$	1.14202	+	1.97804i	0.113077	+	0.195855i
$103$	−0.143396	+	0.248369i	−0.0141292	+	0.0244725i	−0.873004	−	0.487714i	$-0.837831\pi$
$103$	−0.143396	+	0.248369i	−0.0141292	+	0.0244725i	0.858874	+	0.512186i	$0.171164\pi$
$104$	5.74317	+	0.933356i	0.563164	+	0.0915231i
$105$	1.15532	−	5.65912i	0.112747	−	0.552274i
$106$	3.44124	+	4.98550i	0.334243	+	0.484235i
$107$	1.04151	−	3.59571i	0.100687	−	0.347610i	−0.894319	−	0.447430i	$-0.852339\pi$
$107$	1.04151	−	3.59571i	0.100687	−	0.347610i	0.995006	+	0.0998196i	$0.0318266\pi$
$108$	4.48727	−	3.37196i	0.431787	−	0.324467i
$109$	7.67022	+	5.76379i	0.734674	+	0.552071i	0.900906	−	0.434015i	$-0.142904\pi$
$109$	7.67022	+	5.76379i	0.734674	+	0.552071i	−0.166232	+	0.986087i	$0.553160\pi$
$110$	0.871301	+	3.00808i	0.0830752	+	0.286809i
$111$	−5.28510	+	6.47307i	−0.501640	+	0.614397i
$112$	−4.13470	−	1.01911i	−0.390692	−	0.0962970i
$113$	2.17957	−	0.727647i	0.205036	−	0.0684512i	−0.212295	−	0.977206i	$-0.568094\pi$
$113$	2.17957	−	0.727647i	0.205036	−	0.0684512i	0.417331	+	0.908754i	$0.362965\pi$
$114$	−10.2859	−	4.38242i	−0.963364	−	0.410451i
$115$	2.65579	+	5.59695i	0.247653	+	0.521918i
$116$	−2.00145	−	2.45133i	−0.185830	−	0.227600i
$117$	−4.23260	+	6.13197i	−0.391304	+	0.566901i
$118$	−2.45481	−	2.55573i	−0.225984	−	0.235274i
$119$	5.13832	+	5.34956i	0.471029	+	0.490393i
$120$	−0.770483	+	1.11624i	−0.0703351	+	0.101898i
$121$	1.15928	+	1.41987i	0.105389	+	0.129079i
$122$	2.19338	+	4.62245i	0.198579	+	0.418497i
$123$	9.46795	+	4.03392i	0.853696	+	0.363726i
$124$	−5.20063	+	1.73623i	−0.467031	+	0.155918i
$125$	8.96851	+	2.21054i	0.802168	+	0.197717i
$126$	3.44882	−	4.22403i	0.307245	−	0.376307i
$127$	2.91294	+	10.0566i	0.258481	+	0.892381i	0.979834	+	0.199813i	$0.0640335\pi$
$127$	2.91294	+	10.0566i	0.258481	+	0.892381i	−0.721353	+	0.692568i	$0.756479\pi$
$128$	0.799443	+	0.600742i	0.0706614	+	0.0530986i
$129$	0.212879	−	0.159968i	0.0187429	−	0.0140844i
$130$	1.67443	−	5.78081i	0.146857	−	0.507010i
$131$	−8.58571	−	12.4385i	−0.750137	−	1.08676i	−0.993162	−	0.116741i	$-0.962755\pi$
$131$	−8.58571	−	12.4385i	−0.750137	−	1.08676i	0.243025	−	0.970020i	$-0.421860\pi$
$132$	0.794134	−	3.88993i	0.0691205	−	0.338575i
$133$	−35.8393	−	5.82445i	−3.10766	−	0.505044i
$134$	2.91892	−	5.05573i	0.252157	−	0.436748i
$135$	−2.90292	−	5.02800i	−0.249843	−	0.432741i
$136$	−0.617667	−	1.62866i	−0.0529645	−	0.139656i
$137$	−1.02532	+	8.44429i	−0.0875992	+	0.721444i	0.881052	+	0.473019i	$0.156836\pi$
$137$	−1.02532	+	8.44429i	−0.0875992	+	0.721444i	−0.968651	+	0.248425i	$0.920087\pi$
$138$	0.316235	−	7.84728i	0.0269197	−	0.668005i
$139$	−0.0179954	+	0.00292454i	−0.00152635	+	0.000248056i	−0.161174	−	0.986926i	$-0.551528\pi$
$139$	−0.0179954	+	0.00292454i	−0.00152635	+	0.000248056i	0.159648	+	0.987174i	$0.448964\pi$
$140$	−1.56194	+	4.11851i	−0.132008	+	0.348078i
$141$	−11.6795	−	6.12987i	−0.983591	−	0.516229i
$142$	8.72441	−	0.704307i	0.732136	−	0.0591042i
$143$	2.12346	+	17.4883i	0.177573	+	1.46244i
$144$	−1.13387	+	0.595101i	−0.0944892	+	0.0495918i
$145$	−2.76660	+	1.74949i	−0.229753	+	0.145287i
$146$	0.610322	−	0.150431i	0.0505106	−	0.0124498i
$147$	−6.25898	+	13.1905i	−0.516232	+	1.08794i
$148$	4.77017	−	4.22600i	0.392105	−	0.347375i
$149$	−21.4210	+	9.12664i	−1.75488	+	0.747683i	−0.759624	+	0.650362i	$0.774617\pi$
$149$	−21.4210	+	9.12664i	−1.75488	+	0.747683i	−0.995253	+	0.0973213i	$0.968973\pi$
$150$	−3.85742	−	3.41738i	−0.314957	−	0.279028i
$151$	−2.15298	−	0.718772i	−0.175207	−	0.0584928i	0.227711	−	0.973729i	$-0.426876\pi$
$151$	−2.15298	−	0.718772i	−0.175207	−	0.0584928i	−0.402918	+	0.915236i	$0.632004\pi$
$152$	7.20650	+	4.55711i	0.584524	+	0.369631i
$153$	2.22329	+	0.179482i	0.179742	+	0.0145103i
$154$	−0.519160	−	12.8828i	−0.0418351	−	1.03813i
$155$	1.13438	+	5.55656i	0.0911155	+	0.446313i
$156$	−5.28528	+	5.50256i	−0.423161	+	0.440557i
$157$	13.2946			1.06103			0.530513	−	0.847677i	$-0.321999\pi$
$157$	13.2946			1.06103			0.530513	+	0.847677i	$0.321999\pi$
$158$	−5.60496	−	6.89815i	−0.445907	−	0.548787i
$159$	−7.94351			−0.629961
$160$	0.716524	−	0.745981i	0.0566462	−	0.0589750i
$161$	−5.10168	−	24.9897i	−0.402068	−	1.96946i
$162$	0.141677	+	3.51569i	0.0111312	+	0.276219i
$163$	0.622087	+	0.0502201i	0.0487256	+	0.00393354i	0.104805	−	0.994493i	$-0.466578\pi$
$163$	0.622087	+	0.0502201i	0.0487256	+	0.00393354i	−0.0560797	+	0.998426i	$0.517860\pi$
$164$	−6.63342	−	4.19472i	−0.517983	−	0.327553i
$165$	−3.89522	−	1.30042i	−0.303243	−	0.101237i
$166$	−12.0503	−	10.6756i	−0.935285	−	0.828591i
$167$	9.40383	−	4.00660i	0.727690	−	0.310040i	0.00383593	−	0.999993i	$-0.498779\pi$
$167$	9.40383	−	4.00660i	0.727690	−	0.310040i	0.723854	+	0.689953i	$0.242369\pi$
$168$	4.17968	−	3.70288i	0.322469	−	0.285683i
$169$	8.94045	−	18.8416i	0.687727	−	1.44935i
$170$	−1.74934	+	0.431173i	−0.134168	+	0.0330695i
$171$	−9.22828	+	5.83561i	−0.705704	+	0.446260i
$172$	−0.179812	+	0.0943724i	−0.0137105	+	0.00719583i
$173$	−0.490076	−	4.03614i	−0.0372598	−	0.306862i	−0.999410	−	0.0343427i	$-0.989066\pi$
$173$	−0.490076	−	4.03614i	−0.0372598	−	0.306862i	0.962150	−	0.272519i	$-0.0878569\pi$
$174$	4.13624	−	0.333912i	0.313567	−	0.0253138i
$175$	−14.8191	−	7.77766i	−1.12022	−	0.587936i
$176$	−1.07364	+	2.83095i	−0.0809285	+	0.213391i
$177$	4.58661	−	0.745397i	0.344751	−	0.0560275i
$178$	−0.209170	+	5.19049i	−0.0156779	+	0.389044i
$179$	1.28657	−	10.5958i	0.0961625	−	0.791969i	−0.862230	−	0.506516i	$-0.830933\pi$
$179$	1.28657	−	10.5958i	0.0961625	−	0.791969i	0.958393	−	0.285453i	$-0.0921440\pi$
$180$	0.469690	+	1.23847i	0.0350087	+	0.0923102i
$181$	10.3504	+	17.9275i	0.769342	+	1.33254i	0.937920	+	0.346852i	$0.112749\pi$
$181$	10.3504	+	17.9275i	0.769342	+	1.33254i	−0.168578	+	0.985688i	$0.553917\pi$
$182$	−12.3889	+	21.4582i	−0.918327	+	1.59059i
$183$	−6.62220	−	1.07621i	−0.489527	−	0.0795559i
$184$	−1.19802	+	5.86827i	−0.0883189	+	0.432614i
$185$	−3.74458	−	5.42497i	−0.275307	−	0.398852i
$186$	2.00024	−	6.90562i	0.146664	−	0.506344i
$187$	4.21610	−	3.16819i	0.308312	−	0.231681i
$188$	8.04174	+	6.04297i	0.586504	+	0.440729i
$189$	6.65012	+	22.9589i	0.483725	+	1.67001i
$190$	5.57781	−	6.83157i	0.404657	−	0.495614i
$191$	−0.114268	−	0.0281644i	−0.00826812	−	0.00203791i	0.235179	−	0.971952i	$-0.424432\pi$
$191$	−0.114268	−	0.0281644i	−0.00826812	−	0.00203791i	−0.243448	+	0.969914i	$0.578278\pi$
$192$	−1.24379	+	0.415240i	−0.0897632	+	0.0299673i
$193$	12.4608	+	5.30906i	0.896949	+	0.382154i	0.790713	−	0.612187i	$-0.209710\pi$
$193$	12.4608	+	5.30906i	0.896949	+	0.382154i	0.106236	+	0.994341i	$0.466120\pi$
$194$	−0.423062	−	0.891585i	−0.0303741	−	0.0640121i
$195$	4.99115	+	6.11305i	0.357424	+	0.437765i
$196$	6.32501	−	9.16335i	0.451786	−	0.654525i
$197$	−4.03280	−	4.19859i	−0.287325	−	0.299137i	0.561860	−	0.827232i	$-0.310086\pi$
$197$	−4.03280	−	4.19859i	−0.287325	−	0.299137i	−0.849185	+	0.528095i	$0.822906\pi$
$198$	−2.68578	−	2.79619i	−0.190870	−	0.198717i
$199$	−7.49236	+	10.8546i	−0.531119	+	0.769459i	−0.993080	−	0.117442i	$-0.962531\pi$
$199$	−7.49236	+	10.8546i	−0.531119	+	0.769459i	0.461961	+	0.886900i	$0.347146\pi$
$200$	2.48558	+	3.04428i	0.175757	+	0.215263i
$201$	3.28166	+	6.91595i	0.231470	+	0.487814i
$202$	7.31795	+	3.11789i	0.514889	+	0.219374i
$203$	12.7828	−	4.26752i	0.897176	−	0.299521i
$204$	2.21768	+	0.546608i	0.155268	+	0.0382702i
$205$	−5.13424	+	6.28831i	−0.358591	+	0.439194i
$206$	0.0797904	+	0.275468i	0.00555926	+	0.0191928i
$207$	−6.13141	−	4.60746i	−0.426163	−	0.320240i
$208$	4.65157	−	3.49543i	0.322529	−	0.242364i
$209$	−7.18236	+	24.7964i	−0.496815	+	1.71520i
$210$	−3.28105	−	4.75343i	−0.226414	−	0.328018i
$211$	1.11112	−	5.44261i	0.0764925	−	0.374685i	−0.923467	−	0.383678i	$-0.874657\pi$
$211$	1.11112	−	5.44261i	0.0764925	−	0.374685i	0.999960	+	0.00899267i	$0.00286250\pi$
$212$	5.97939	+	0.971746i	0.410666	+	0.0667398i
$213$	−5.73867	+	9.93967i	−0.393207	+	0.681055i
$214$	−1.87176	−	3.24198i	−0.127951	−	0.221617i
$215$	0.0744845	+	0.196399i	0.00507980	+	0.0133943i
$216$	0.676571	−	5.57207i	0.0460348	−	0.379131i
$217$	0.940135	−	23.3292i	0.0638205	−	1.58369i
$218$	9.47021	−	1.53906i	0.641404	−	0.104238i
$219$	−0.292284	+	0.770691i	−0.0197507	+	0.0520784i
$220$	2.77300	+	1.45539i	0.186956	+	0.0981220i
$221$	−10.1021	+	0.815526i	−0.679541	+	0.0548582i
$222$	1.00728	+	8.29568i	0.0676041	+	0.556770i
$223$	10.3505	−	5.43234i	0.693118	−	0.363776i	−0.0810907	−	0.996707i	$-0.525840\pi$
$223$	10.3505	−	5.43234i	0.693118	−	0.363776i	0.774209	+	0.632930i	$0.218148\pi$
$224$	−3.59919	+	2.27599i	−0.240481	+	0.152071i
$225$	−4.88646	+	1.20440i	−0.325764	+	0.0802935i
$226$	0.985059	−	2.07597i	0.0655252	−	0.138091i
$227$	16.6075	−	14.7129i	1.10228	−	0.976531i	0.102441	−	0.994739i	$-0.467335\pi$
$227$	16.6075	−	14.7129i	1.10228	−	0.976531i	0.999834	+	0.0182082i	$0.00579616\pi$
$228$	−10.2859	+	4.38242i	−0.681201	+	0.290233i
$229$	−7.58344	−	6.71834i	−0.501128	−	0.443961i	0.374301	−	0.927307i	$-0.377883\pi$
$229$	−7.58344	−	6.71834i	−0.501128	−	0.443961i	−0.875429	+	0.483347i	$0.839421\pi$
$230$	5.87626	+	1.96178i	0.387469	+	0.129356i
$231$	14.2894	+	9.03604i	0.940171	+	0.594528i
$232$	−3.15436	−	0.254646i	−0.207094	−	0.0167183i
$233$	0.0288111	+	0.714940i	0.00188748	+	0.0468373i	0.999858	−	0.0168363i	$-0.00535940\pi$
$233$	0.0288111	+	0.714940i	0.00188748	+	0.0468373i	−0.997971	+	0.0636735i	$0.979718\pi$
$234$	1.49037	+	7.30033i	0.0974287	+	0.477237i
$235$	7.20764	−	7.50395i	0.470175	−	0.489504i
$236$	−3.54371			−0.230676
$237$	11.6193	−	0.910285i	0.754754	−	0.0591294i
$238$	7.41755			0.480808
$239$	−7.43761	+	7.74337i	−0.481099	+	0.500877i	−0.916873	−	0.399179i	$-0.869295\pi$
$239$	−7.43761	+	7.74337i	−0.481099	+	0.500877i	0.435774	+	0.900056i	$0.356475\pi$
$240$	0.271301	+	1.32892i	0.0175124	+	0.0857813i
$241$	0.590820	+	14.6610i	0.0380581	+	0.944401i	0.899600	+	0.436715i	$0.143858\pi$
$241$	0.590820	+	14.6610i	0.0380581	+	0.944401i	−0.861542	+	0.507686i	$0.830501\pi$
$242$	1.82707	+	0.147497i	0.117449	+	0.00948145i
$243$	10.3326	+	6.53394i	0.662837	+	0.419153i
$244$	4.85313	+	1.62021i	0.310690	+	0.103724i
$245$	−8.62048	−	7.63708i	−0.550742	−	0.487915i
$246$	9.46795	−	4.03392i	0.603654	−	0.257193i
$247$	37.1347	−	32.8985i	2.36283	−	2.09328i
$248$	−2.35043	+	4.95343i	−0.149253	+	0.314543i
$249$	20.4969	−	5.05203i	1.29894	−	0.320160i
$250$	7.80695	−	4.93682i	0.493755	−	0.312232i
$251$	18.8422	−	9.88917i	1.18931	−	0.624199i	0.250328	−	0.968161i	$-0.419462\pi$
$251$	18.8422	−	9.88917i	1.18931	−	0.624199i	0.938983	+	0.343963i	$0.111769\pi$
$252$	−0.657304	−	5.41338i	−0.0414063	−	0.341011i
$253$	−18.0750	+	1.45917i	−1.13637	+	0.0917371i
$254$	9.27072	+	4.86565i	0.581697	+	0.305298i
$255$	0.837761	−	2.20899i	0.0524626	−	0.138333i
$256$	0.987050	−	0.160411i	0.0616906	−	0.0100257i
$257$	0.370172	−	9.18573i	0.0230907	−	0.572990i	−0.945690	−	0.325070i	$-0.894612\pi$
$257$	0.370172	−	9.18573i	0.0230907	−	0.572990i	0.968781	−	0.247920i	$-0.0797470\pi$
$258$	0.0320970	−	0.264343i	0.00199827	−	0.0164573i
$259$	9.62345	+	25.3749i	0.597972	+	1.57672i
$260$	−3.00921	−	5.21211i	−0.186623	−	0.323241i
$261$	2.02623	−	3.50953i	0.125420	−	0.217234i
$262$	−14.9182	−	2.42445i	−0.921652	−	0.149783i
$263$	−6.21609	+	30.4484i	−0.383300	+	1.87753i	0.0889038	+	0.996040i	$0.471664\pi$
$263$	−6.21609	+	30.4484i	−0.383300	+	1.87753i	−0.472204	+	0.881489i	$0.656541\pi$
$264$	−2.25531	−	3.26738i	−0.138805	−	0.201093i
$265$	1.74330	−	6.01857i	0.107090	−	0.369718i
$266$	−29.0274	+	21.8127i	−1.77978	+	1.33742i
$267$	−5.44557	−	4.09208i	−0.333263	−	0.250431i
$268$	−1.62419	−	5.60736i	−0.0992133	−	0.342524i
$269$	10.9301	−	13.3870i	0.666421	−	0.816217i	−0.325166	−	0.945657i	$-0.605420\pi$
$269$	10.9301	−	13.3870i	0.666421	−	0.816217i	0.991587	+	0.129439i	$0.0413178\pi$
$270$	−5.63713	−	1.38943i	−0.343065	−	0.0845579i
$271$	−21.6484	+	7.22728i	−1.31504	+	0.439026i	−0.885760	−	0.464143i	$-0.846362\pi$
$271$	−21.6484	+	7.22728i	−1.31504	+	0.439026i	−0.429284	+	0.903170i	$0.641234\pi$
$272$	−1.60246	−	0.682746i	−0.0971636	−	0.0413976i
$273$	−13.9285	−	29.3536i	−0.842990	−	1.77656i
$274$	5.37977	+	6.58903i	0.325004	+	0.398058i
$275$	−6.75951	+	9.79284i	−0.407614	+	0.590531i
$276$	−5.44041	−	5.66407i	−0.327474	−	0.340937i
$277$	−0.0468077	−	0.0487320i	−0.00281240	−	0.00292802i	0.719795	−	0.694187i	$-0.244236\pi$
$277$	−0.0468077	−	0.0487320i	−0.00281240	−	0.00292802i	−0.722607	+	0.691259i	$0.757056\pi$
$278$	−0.0103567	+	0.0150042i	−0.000621152	+	0.000899895i
$279$	−4.44040	−	5.43850i	−0.265840	−	0.325594i
$280$	1.88828	+	3.97947i	0.112846	+	0.237819i
$281$	−29.6111	−	12.6161i	−1.76645	−	0.752614i	−0.992910	−	0.118865i	$-0.962074\pi$
$281$	−29.6111	−	12.6161i	−1.76645	−	0.752614i	−0.773539	−	0.633748i	$-0.781515\pi$
$282$	−12.5116	+	4.17697i	−0.745052	+	0.248735i
$283$	−0.919258	−	0.226577i	−0.0546442	−	0.0134686i	0.211899	−	0.977292i	$-0.432035\pi$
$283$	−0.919258	−	0.226577i	−0.0546442	−	0.0134686i	−0.266543	+	0.963823i	$0.585881\pi$
$284$	5.53566	−	6.77996i	0.328481	−	0.402317i
$285$	3.21751	+	11.1081i	0.190589	+	0.657988i
$286$	14.0836	+	10.5831i	0.832779	+	0.625793i
$287$	26.7190	−	20.0781i	1.57717	−	1.18517i
$288$	−0.356271	+	1.22999i	−0.0209935	+	0.0724779i
$289$	−7.93357	−	11.4938i	−0.466681	−	0.676104i
$290$	−0.654753	+	3.20719i	−0.0384484	+	0.188333i
$291$	1.27730	+	0.207581i	0.0748766	+	0.0121686i
$292$	0.314294	−	0.544373i	0.0183927	−	0.0318570i
$293$	−6.52705	−	11.3052i	−0.381314	−	0.660455i	0.609936	−	0.792450i	$-0.291195\pi$
$293$	−6.52705	−	11.3052i	−0.381314	−	0.660455i	−0.991250	+	0.131995i	$0.957862\pi$
$294$	5.17729	+	13.6514i	0.301946	+	0.796166i
$295$	−0.441823	+	3.63874i	−0.0257239	+	0.211855i
$296$	0.256610	−	6.36771i	0.0149151	−	0.370115i
$297$	16.7744	−	2.72610i	0.973349	−	0.158185i
$298$	−8.25670	+	21.7711i	−0.478298	+	1.26117i
$299$	30.8572	+	16.1951i	1.78452	+	0.936586i
$300$	−5.13675	+	0.414681i	−0.296570	+	0.0239416i
$301$	−0.104237	−	0.858466i	−0.00600810	−	0.0494811i
$302$	−2.00980	+	1.05483i	−0.115651	+	0.0606984i
$303$	−8.81577	+	5.57476i	−0.506453	+	0.320261i
$304$	8.27872	−	2.04052i	0.474817	−	0.117032i
$305$	2.26874	−	4.78127i	0.129908	−	0.273775i
$306$	1.66957	−	1.47911i	0.0954430	−	0.0845551i
$307$	2.77320	−	1.18155i	0.158275	−	0.0674346i	−0.311376	−	0.950287i	$-0.600790\pi$
$307$	2.77320	−	1.18155i	0.158275	−	0.0674346i	0.469651	+	0.882852i	$0.344380\pi$
$308$	−9.65076	−	8.54983i	−0.549903	−	0.487172i
$309$	−0.356710	−	0.119087i	−0.0202925	−	0.00677463i
$310$	4.79321	+	3.03105i	0.272236	+	0.172152i
$311$	−1.51921	−	0.122643i	−0.0861466	−	0.00695447i	0.0373181	−	0.999303i	$-0.488119\pi$
$311$	−1.51921	−	0.122643i	−0.0861466	−	0.00695447i	−0.123465	+	0.992349i	$0.539401\pi$
$312$	0.307217	+	7.62351i	0.0173927	+	0.431596i
$313$	4.21645	+	20.6535i	0.238328	+	1.16741i	0.906108	+	0.423047i	$0.139040\pi$
$313$	4.21645	+	20.6535i	0.238328	+	1.16741i	−0.667780	+	0.744359i	$0.732755\pi$
$314$	9.20950	−	9.58811i	0.519722	−	0.541088i
$315$	−5.64050			−0.317806
$316$	−8.85765	−	0.736204i	−0.498282	−	0.0414147i
$317$	−29.2993			−1.64562			−0.822808	−	0.568320i	$-0.807594\pi$
$317$	−29.2993			−1.64562			−0.822808	+	0.568320i	$0.807594\pi$
$318$	−5.50266	+	5.72888i	−0.308574	+	0.321260i
$319$	−1.91655	−	9.38789i	−0.107306	−	0.525621i
$320$	−0.0416494	−	1.03352i	−0.00232827	−	0.0577754i
$321$	4.89287	+	0.394993i	0.273093	+	0.0220464i
$322$	−21.5567	−	13.6316i	−1.20131	−	0.759660i
$323$	−14.0875	−	4.70310i	−0.783849	−	0.261687i
$324$	2.63367	+	2.33322i	0.146315	+	0.129624i
$325$	21.0375	−	8.96326i	1.16695	−	0.497192i
$326$	0.467154	−	0.413862i	0.0258733	−	0.0229217i
$327$	−5.39338	+	11.3663i	−0.298255	+	0.628558i
$328$	−7.62037	+	1.87825i	−0.420765	+	0.103709i
$329$	−36.2049	+	22.8946i	−1.99604	+	1.26222i
$330$	−3.63618	+	1.90841i	−0.200165	+	0.105055i
$331$	1.25795	+	10.3601i	0.0691431	+	0.569444i	0.985573	+	0.169250i	$0.0541344\pi$
$331$	1.25795	+	10.3601i	0.0691431	+	0.569444i	−0.916430	+	0.400195i	$0.868943\pi$
$332$	−16.0468	+	1.29544i	−0.880685	+	0.0710962i
$333$	7.22602	+	3.79251i	0.395983	+	0.207828i
$334$	3.62469	−	9.55753i	0.198334	−	0.522965i
$335$	−5.96022	+	0.968631i	−0.325642	+	0.0529219i
$336$	0.224845	−	5.57947i	0.0122663	−	0.304385i
$337$	1.03521	−	8.52571i	0.0563914	−	0.464425i	−0.936972	−	0.349405i	$-0.886384\pi$
$337$	1.03521	−	8.52571i	0.0563914	−	0.464425i	0.993363	−	0.115020i	$-0.0366932\pi$
$338$	−7.39534	−	19.4999i	−0.402254	−	1.06066i
$339$	1.50654	+	2.60941i	0.0818241	+	0.141724i
$340$	−0.900846	+	1.56031i	−0.0488552	+	0.0846197i
$341$	−16.3853	−	2.66287i	−0.887314	−	0.144203i
$342$	−2.18400	+	10.6979i	−0.118097	+	0.578478i
$343$	10.0012	+	14.4892i	0.540012	+	0.782343i
$344$	−0.0564983	+	0.195055i	−0.00304618	+	0.0105166i
$345$	−6.49425	+	4.88012i	−0.349639	+	0.262737i
$346$	−3.25036	−	2.44249i	−0.174741	−	0.131309i
$347$	1.85075	+	6.38953i	0.0993535	+	0.343008i	0.994759	−	0.102243i	$-0.0326018\pi$
$347$	1.85075	+	6.38953i	0.0993535	+	0.343008i	−0.895406	+	0.445251i	$0.853115\pi$
$348$	2.62445	−	3.21437i	0.140686	−	0.172309i
$349$	9.23900	+	2.27721i	0.494552	+	0.121896i	0.478701	−	0.877978i	$-0.341108\pi$
$349$	9.23900	+	2.27721i	0.494552	+	0.121896i	0.0158515	+	0.999874i	$0.494954\pi$
$350$	−15.8748	+	5.29979i	−0.848545	+	0.283286i
$351$	−30.0459	−	12.8014i	−1.60373	−	0.683286i
$352$	1.29795	+	2.73538i	0.0691812	+	0.145796i
$353$	−11.2519	−	13.7811i	−0.598879	−	0.733494i	0.382843	−	0.923813i	$-0.374945\pi$
$353$	−11.2519	−	13.7811i	−0.598879	−	0.733494i	−0.981722	+	0.190319i	$0.939048\pi$
$354$	2.63968	−	3.82423i	0.140297	−	0.203256i
$355$	−6.27159	−	6.52942i	−0.332861	−	0.346545i
$356$	3.59850	+	3.74643i	0.190720	+	0.198561i
$357$	−5.52526	+	8.00473i	−0.292428	+	0.423655i
$358$	−6.75050	−	8.26786i	−0.356775	−	0.436970i
$359$	−2.87403	−	6.05689i	−0.151686	−	0.319670i	0.813357	−	0.581766i	$-0.197638\pi$
$359$	−2.87403	−	6.05689i	−0.151686	−	0.319670i	−0.965042	+	0.262095i	$0.915587\pi$
$360$	1.21855	+	0.519178i	0.0642235	+	0.0273631i
$361$	50.9373	−	17.0054i	2.68091	−	0.895019i
$362$	20.0994	+	4.95405i	1.05640	+	0.260379i
$363$	−1.52014	+	1.86184i	−0.0797869	+	0.0977212i
$364$	6.89362	+	23.7995i	0.361324	+	1.24743i
$365$	−0.519785	−	0.390593i	−0.0272068	−	0.0204446i
$366$	−5.36353	+	4.03043i	−0.280356	+	0.210674i
$367$	9.82501	−	33.9199i	0.512862	−	1.77060i	−0.116176	−	0.993229i	$-0.537064\pi$
$367$	9.82501	−	33.9199i	0.512862	−	1.77060i	0.629037	−	0.777375i	$-0.283449\pi$
$368$	3.40232	+	4.92910i	0.177358	+	0.256947i
$369$	2.01032	−	9.84720i	0.104653	−	0.512625i
$370$	−6.50647	−	1.05740i	−0.338255	−	0.0549718i
$371$	−12.8985	+	22.3408i	−0.669655	+	1.15988i
$372$	−3.59473	−	6.22626i	−0.186378	−	0.322817i
$373$	5.22046	+	13.7652i	0.270305	+	0.712736i	0.999593	+	0.0285288i	$0.00908222\pi$
$373$	5.22046	+	13.7652i	0.270305	+	0.712736i	−0.729288	+	0.684207i	$0.760149\pi$
$374$	0.635686	−	5.23534i	0.0328705	−	0.270713i
$375$	−0.487708	+	12.1023i	−0.0251851	+	0.624962i
$376$	9.92891	−	1.61361i	0.512045	−	0.0832153i
$377$	−6.52948	+	17.2168i	−0.336285	+	0.886711i
$378$	21.1647	+	11.1081i	1.08859	+	0.571338i
$379$	−25.2727	+	2.04022i	−1.29817	+	0.104799i	−0.710153	−	0.704048i	$-0.751374\pi$
$379$	−25.2727	+	2.04022i	−1.29817	+	0.104799i	−0.588019	+	0.808847i	$0.700092\pi$
$380$	−1.06306	−	8.75512i	−0.0545340	−	0.449128i
$381$	−12.1565	+	6.38022i	−0.622796	+	0.326869i
$382$	−0.0994683	+	0.0628999i	−0.00508924	+	0.00321824i
$383$	17.7225	−	4.36819i	0.905576	−	0.223204i	0.241088	−	0.970503i	$-0.422496\pi$
$383$	17.7225	−	4.36819i	0.905576	−	0.223204i	0.664488	+	0.747299i	$0.268650\pi$
$384$	−0.562135	+	1.18467i	−0.0286863	+	0.0604552i
$385$	−9.98233	+	8.84358i	−0.508747	+	0.450710i
$386$	12.4608	−	5.30906i	0.634239	−	0.270224i
$387$	−0.194646	−	0.172441i	−0.00989441	−	0.00876568i
$388$	−0.936079	−	0.312509i	−0.0475222	−	0.0158652i
$389$	−11.1222	−	7.03325i	−0.563918	−	0.356600i	0.221889	−	0.975072i	$-0.428778\pi$
$389$	−11.1222	−	7.03325i	−0.563918	−	0.356600i	−0.785807	+	0.618472i	$0.787752\pi$
$390$	7.86624	+	0.635028i	0.398322	+	0.0321559i
$391$	−0.420073	−	10.4240i	−0.0212440	−	0.527164i
$392$	−2.22715	−	10.9093i	−0.112488	−	0.551002i
$393$	13.7288	−	14.2932i	0.692528	−	0.720998i
$394$	−5.82165			−0.293290
$395$	−1.86030	+	9.00338i	−0.0936018	+	0.453009i
$396$	−3.87712			−0.194833
$397$	9.14530	−	9.52126i	0.458989	−	0.477859i	−0.450980	−	0.892534i	$-0.648925\pi$
$397$	9.14530	−	9.52126i	0.458989	−	0.477859i	0.909969	+	0.414675i	$0.136105\pi$
$398$	2.63819	+	12.9227i	0.132241	+	0.647757i
$399$	−1.91714	−	47.5732i	−0.0959769	−	2.38164i
$400$	3.91736	+	0.316242i	0.195868	+	0.0158121i
$401$	20.7896	+	13.1466i	1.03818	+	0.656508i	0.940878	−	0.338747i	$-0.110003\pi$
$401$	20.7896	+	13.1466i	1.03818	+	0.656508i	0.0973062	+	0.995254i	$0.468977\pi$
$402$	7.26109	+	2.42411i	0.362150	+	0.120903i
$403$	23.8788	+	21.1548i	1.18949	+	1.05379i
$404$	7.31795	−	3.11789i	0.364081	−	0.155121i
$405$	2.72415	−	2.41339i	0.135364	−	0.119922i
$406$	5.77720	−	12.1752i	0.286718	−	0.604245i
$407$	18.7345	−	4.61764i	0.928634	−	0.228888i
$408$	1.93045	−	1.22074i	0.0955717	−	0.0604359i
$409$	−3.19562	+	1.67719i	−0.158013	+	0.0829318i	−0.541876	−	0.840458i	$-0.682286\pi$
$409$	−3.19562	+	1.67719i	−0.158013	+	0.0829318i	0.383863	+	0.923390i	$0.374594\pi$
$410$	0.978526	+	8.05889i	0.0483260	+	0.398000i
$411$	−11.1180	+	0.897535i	−0.548409	+	0.0442721i
$412$	0.253941	+	0.133279i	0.0125108	+	0.00656616i
$413$	5.35123	−	14.1100i	0.263317	−	0.694309i
$414$	−7.57029	+	1.23029i	−0.372059	+	0.0604655i
$415$	−0.670515	+	16.6387i	−0.0329143	+	0.816759i
$416$	0.701345	−	5.77610i	0.0343863	−	0.283196i
$417$	−0.00847739	−	0.0223530i	−0.000415140	−	0.00109463i
$418$	12.9078	+	22.3570i	0.631342	+	1.09352i
$419$	−17.0243	+	29.4870i	−0.831692	+	1.44053i	0.0650039	+	0.997885i	$0.479294\pi$
$419$	−17.0243	+	29.4870i	−0.831692	+	1.44053i	−0.896696	+	0.442647i	$0.854039\pi$
$420$	−5.70105	−	0.926511i	−0.278183	−	0.0452091i
$421$	4.82516	−	23.6352i	0.235164	−	1.15191i	−0.675050	−	0.737772i	$-0.735878\pi$
$421$	4.82516	−	23.6352i	0.235164	−	1.15191i	0.910214	−	0.414138i	$-0.135917\pi$
$422$	−3.15553	−	4.57157i	−0.153609	−	0.222541i
$423$	−3.58380	+	12.3727i	−0.174250	+	0.601581i
$424$	4.84289	−	3.63920i	0.235192	−	0.176735i
$425$	−5.47270	−	4.11247i	−0.265465	−	0.199484i
$426$	3.19320	+	11.0242i	0.154711	+	0.534124i
$427$	−13.7798	+	16.8771i	−0.666849	+	0.816742i
$428$	−3.63473	−	0.895881i	−0.175691	−	0.0433040i
$429$	−21.9116	+	7.31517i	−1.05790	+	0.353180i
$430$	0.193241	+	0.0823323i	0.00931891	+	0.00397041i
$431$	−4.04309	−	8.52063i	−0.194749	−	0.410425i	0.782461	−	0.622699i	$-0.213964\pi$
$431$	−4.04309	−	8.52063i	−0.194749	−	0.410425i	−0.977210	+	0.212275i	$0.931913\pi$
$432$	−3.54991	−	4.34785i	−0.170795	−	0.209186i
$433$	6.13268	−	8.88472i	0.294718	−	0.426973i	−0.647453	−	0.762105i	$-0.724166\pi$
$433$	6.13268	−	8.88472i	0.294718	−	0.426973i	0.942171	+	0.335133i	$0.108781\pi$
$434$	−16.1738	−	16.8387i	−0.776369	−	0.808286i
$435$	−2.97336	−	3.09559i	−0.142562	−	0.148422i
$436$	5.45027	−	7.89608i	0.261021	−	0.378154i
$437$	32.2976	+	39.5573i	1.54500	+	1.89228i
$438$	0.353351	+	0.744672i	0.0168838	+	0.0355818i
$439$	4.06921	+	1.73373i	0.194213	+	0.0827464i	0.486883	−	0.873467i	$-0.338134\pi$
$439$	4.06921	+	1.73373i	0.194213	+	0.0827464i	−0.292671	+	0.956213i	$0.594544\pi$
$440$	2.97056	−	0.991717i	0.141616	−	0.0472783i
$441$	13.8437	+	3.41217i	0.659225	+	0.162484i
$442$	−6.40982	+	7.85060i	−0.304884	+	0.373415i
$443$	2.55603	+	8.82443i	0.121441	+	0.419261i	0.998084	−	0.0618800i	$-0.0197096\pi$
$443$	2.55603	+	8.82443i	0.121441	+	0.419261i	−0.876643	+	0.481141i	$0.840222\pi$
$444$	6.68063	+	5.02017i	0.317049	+	0.238247i
$445$	4.29555	−	3.22790i	0.203629	−	0.153017i
$446$	3.25220	−	11.2279i	0.153996	−	0.531656i
$447$	−17.3442	−	25.1274i	−0.820353	−	1.18849i
$448$	−0.851797	+	4.17238i	−0.0402436	+	0.197126i
$449$	26.8012	+	4.35561i	1.26482	+	0.205554i	0.755574	−	0.655064i	$-0.227358\pi$
$449$	26.8012	+	4.35561i	1.26482	+	0.205554i	0.509251	+	0.860618i	$0.329922\pi$
$450$	−2.51635	+	4.35844i	−0.118622	+	0.205459i
$451$	−11.8814	−	20.5791i	−0.559471	−	0.969033i
$452$	−0.814819	−	2.14850i	−0.0383259	−	0.101057i
$453$	0.358757	−	2.95463i	0.0168559	−	0.138821i
$454$	0.893394	−	22.1693i	0.0419290	−	1.04046i
$455$	25.2972	−	4.11120i	1.18595	−	0.192736i
$456$	−3.96469	+	10.4540i	−0.185664	+	0.489555i
$457$	−16.1251	−	8.46309i	−0.754299	−	0.395887i	0.0433098	−	0.999062i	$-0.486210\pi$
$457$	−16.1251	−	8.46309i	−0.754299	−	0.395887i	−0.797609	+	0.603175i	$0.793902\pi$
$458$	−10.0985	+	0.815237i	−0.471873	+	0.0380935i
$459$	1.17848	+	9.70569i	0.0550069	+	0.453023i
$460$	5.48547	−	2.87900i	0.255762	−	0.134234i
$461$	−25.3632	+	16.0387i	−1.18128	+	0.746998i	−0.972940	−	0.231058i	$-0.925781\pi$
$461$	−25.3632	+	16.0387i	−1.18128	+	0.746998i	−0.208343	+	0.978056i	$0.566807\pi$
$462$	16.4154	−	4.04603i	0.763714	−	0.188239i
$463$	−10.1504	+	21.3915i	−0.471729	+	0.994148i	0.518549	+	0.855048i	$0.326472\pi$
$463$	−10.1504	+	21.3915i	−0.471729	+	0.994148i	−0.990278	+	0.139100i	$0.955579\pi$
$464$	−2.36875	+	2.09853i	−0.109966	+	0.0974218i
$465$	−6.84141	+	2.91485i	−0.317263	+	0.135173i
$466$	0.535574	+	0.474477i	0.0248100	+	0.0219797i
$467$	−34.9211	−	11.6584i	−1.61596	−	0.539486i	−0.642094	−	0.766626i	$-0.721934\pi$
$467$	−34.9211	−	11.6584i	−1.61596	−	0.539486i	−0.973862	+	0.227140i	$0.927062\pi$
$468$	6.29743	+	3.98225i	0.291099	+	0.184080i
$469$	24.7795	+	2.00041i	1.14421	+	0.0923703i
$470$	−0.418958	−	10.3963i	−0.0193251	−	0.479547i
$471$	3.48704	+	17.0806i	0.160674	+	0.787034i
$472$	−2.45481	+	2.55573i	−0.112992	+	0.117637i
$473$	−0.614842			−0.0282705
$474$	7.39247	−	9.01044i	0.339547	−	0.413863i
$475$	33.5100			1.53754
$476$	5.13832	−	5.34956i	0.235514	−	0.245196i
$477$	1.55167	+	7.60059i	0.0710462	+	0.348007i
$478$	0.432325	+	10.7280i	0.0197741	+	0.490689i
$479$	−22.5916	−	1.82379i	−1.03224	−	0.0833309i	−0.447280	−	0.894394i	$-0.647607\pi$
$479$	−22.5916	−	1.82379i	−1.03224	−	0.0833309i	−0.584959	+	0.811063i	$0.698889\pi$
$480$	1.14636	+	0.724912i	0.0523238	+	0.0330875i
$481$	−35.1724	−	11.7423i	−1.60372	−	0.535401i
$482$	10.9829	+	9.72996i	0.500255	+	0.443188i
$483$	30.7681	−	13.1090i	1.39999	−	0.596482i
$484$	1.37203	−	1.21552i	0.0623652	−	0.0552507i
$485$	−0.437597	+	0.922217i	−0.0198703	+	0.0418757i
$486$	11.8699	−	2.92568i	0.538432	−	0.132711i
$487$	5.69465	−	3.60108i	0.258049	−	0.163180i	−0.399177	−	0.916874i	$-0.630704\pi$
$487$	5.69465	−	3.60108i	0.258049	−	0.163180i	0.657226	+	0.753694i	$0.271730\pi$
$488$	4.53039	−	2.37773i	0.205081	−	0.107635i
$489$	0.0986452	+	0.812416i	0.00446089	+	0.0367387i
$490$	−11.4795	+	0.926721i	−0.518591	+	0.0418650i
$491$	15.3647	+	8.06400i	0.693398	+	0.363923i	0.774317	−	0.632797i	$-0.218093\pi$
$491$	15.3647	+	8.06400i	0.693398	+	0.363923i	−0.0809195	+	0.996721i	$0.525786\pi$
$492$	3.64941	−	9.62270i	0.164528	−	0.433825i
$493$	5.44090	−	0.884232i	0.245046	−	0.0398238i
$494$	1.99765	−	49.5713i	0.0898787	−	2.23032i
$495$	−0.483392	+	3.98109i	−0.0217268	+	0.178937i
$496$	1.94423	+	5.12650i	0.0872983	+	0.230187i
$497$	18.6366	+	32.2796i	0.835967	+	1.44794i
$498$	10.5552	−	18.2821i	0.472988	−	0.819240i
$499$	−7.37898	−	1.19920i	−0.330328	−	0.0536836i	−0.00701456	−	0.999975i	$-0.502233\pi$
$499$	−7.37898	−	1.19920i	−0.330328	−	0.0536836i	−0.323314	+	0.946292i	$0.604797\pi$
$500$	1.84762	−	9.05024i	0.0826281	−	0.404739i
$501$	7.61411	+	11.0309i	0.340173	+	0.492826i
$502$	5.92038	−	20.4395i	0.264240	−	0.912261i
$503$	16.1928	−	12.1681i	0.722001	−	0.542548i	−0.175005	−	0.984568i	$-0.555994\pi$
$503$	16.1928	−	12.1681i	0.722001	−	0.542548i	0.897006	+	0.442019i	$0.145738\pi$
$504$	−4.35948	−	3.27593i	−0.194187	−	0.145922i
$505$	−2.28911	−	7.90291i	−0.101864	−	0.351675i
$506$	−11.4687	+	14.0466i	−0.509844	+	0.624446i
$507$	26.5523	+	6.54455i	1.17923	+	0.290653i
$508$	9.93117	−	3.31551i	0.440625	−	0.147102i
$509$	−17.6991	−	7.54086i	−0.784497	−	0.334243i	−0.0376948	−	0.999289i	$-0.512001\pi$
$509$	−17.6991	−	7.54086i	−0.784497	−	0.334243i	−0.746802	+	0.665046i	$0.768412\pi$
$510$	−1.01279	−	2.13442i	−0.0448473	−	0.0945136i
$511$	1.69293	+	2.07347i	0.0748909	+	0.0917247i
$512$	0.568065	−	0.822984i	0.0251052	−	0.0363711i
$513$	−33.1531	−	34.5161i	−1.46375	−	1.52392i
$514$	−6.36835	−	6.63015i	−0.280896	−	0.292443i
$515$	0.168513	−	0.244134i	0.00742559	−	0.0107578i
$516$	−0.168410	−	0.206265i	−0.00741385	−	0.00908031i
$517$	13.0563	+	27.5157i	0.574217	+	1.21014i
$518$	24.9669	+	10.6374i	1.09698	+	0.467380i
$519$	5.05700	−	1.68828i	0.221978	−	0.0741070i
$520$	−5.84354	−	1.44030i	−0.256256	−	0.0631615i
$521$	4.36234	−	5.34290i	0.191118	−	0.234077i	−0.670153	−	0.742223i	$-0.733772\pi$
$521$	4.36234	−	5.34290i	0.191118	−	0.234077i	0.861271	+	0.508146i	$0.169669\pi$
$522$	−1.12746	−	3.89245i	−0.0493477	−	0.170368i
$523$	−19.3690	−	14.5549i	−0.846948	−	0.636440i	0.0860624	−	0.996290i	$-0.472572\pi$
$523$	−19.3690	−	14.5549i	−0.846948	−	0.636440i	−0.933010	+	0.359850i	$0.882828\pi$
$524$	−12.0827	+	9.07960i	−0.527837	+	0.396644i
$525$	6.10568	−	21.0792i	0.266474	−	0.919974i
$526$	17.6534	+	25.5754i	0.769726	+	1.11514i
$527$	1.91028	−	9.35719i	0.0832133	−	0.407606i
$528$	−3.91875	−	0.636858i	−0.170542	−	0.0277157i
$529$	−6.43591	+	11.1473i	−0.279822	+	0.484666i
$530$	−3.13298	−	5.42649i	−0.136088	−	0.235711i
$531$	−1.60916	−	4.24301i	−0.0698316	−	0.184131i
$532$	−4.37663	+	36.0448i	−0.189751	+	1.56274i
$533$	−1.83879	+	45.6292i	−0.0796470	+	1.97642i
$534$	−6.72349	+	1.09267i	−0.290954	+	0.0472846i
$535$	−1.37307	+	3.62050i	−0.0593632	+	0.156528i
$536$	−5.16916	−	2.71298i	−0.223274	−	0.117183i
$537$	13.9507	−	1.12622i	0.602019	−	0.0486000i
$538$	−2.08315	−	17.1563i	−0.0898111	−	0.739661i
$539$	29.8499	−	15.6665i	1.28573	−	0.674802i
$540$	−4.90703	+	3.10302i	−0.211165	+	0.133533i
$541$	−5.84500	+	1.44066i	−0.251296	+	0.0619390i	−0.362951	−	0.931808i	$-0.618231\pi$
$541$	−5.84500	+	1.44066i	−0.251296	+	0.0619390i	0.111655	+	0.993747i	$0.464385\pi$
$542$	−9.78401	+	20.6194i	−0.420259	+	0.885678i
$543$	−20.3180	+	18.0002i	−0.871930	+	0.772463i
$544$	−1.60246	+	0.682746i	−0.0687051	+	0.0292725i
$545$	−7.42829	−	6.58089i	−0.318193	−	0.281894i
$546$	−30.8185	−	10.2887i	−1.31891	−	0.440317i
$547$	−37.3080	−	23.5921i	−1.59517	−	1.00873i	−0.974424	−	0.224719i	$-0.927854\pi$
$547$	−37.3080	−	23.5921i	−1.59517	−	1.00873i	−0.620750	−	0.784008i	$-0.713172\pi$
$548$	8.47872	+	0.684473i	0.362193	+	0.0292393i
$549$	0.263817	+	6.54655i	0.0112594	+	0.279400i
$550$	2.38014	+	11.6587i	0.101490	+	0.497129i
$551$	−18.6918	+	19.4602i	−0.796298	+	0.829034i
$552$	−7.85365			−0.334273
$553$	16.3070	−	34.1569i	0.693443	−	1.45250i
$554$	−0.0675705			−0.00287079
$555$	5.98771	−	6.23387i	0.254164	−	0.264613i
$556$	0.00364677	+	0.0178631i	0.000154658	+	0.000757563i
$557$	−0.148854	−	3.69376i	−0.00630713	−	0.156510i	−0.999273	−	0.0381126i	$-0.987865\pi$
$557$	−0.148854	−	3.69376i	−0.00630713	−	0.156510i	0.992966	−	0.118397i	$-0.0377756\pi$
$558$	−6.99823	−	0.564955i	−0.296259	−	0.0239165i
$559$	0.998660	+	0.631514i	0.0422388	+	0.0267102i
$560$	4.17806	+	1.39484i	0.176555	+	0.0589428i
$561$	5.17626	+	4.58577i	0.218542	+	0.193611i
$562$	−29.6111	+	12.6161i	−1.24907	+	0.532178i
$563$	−0.170838	+	0.151349i	−0.00719997	+	0.00637861i	−0.666715	−	0.745313i	$-0.732300\pi$
$563$	−0.170838	+	0.151349i	−0.00719997	+	0.00637861i	0.659515	+	0.751691i	$0.270762\pi$
$564$	−5.65462	+	11.9169i	−0.238102	+	0.501790i
$565$	−2.30770	+	0.568798i	−0.0970858	+	0.0239295i
$566$	−0.800200	+	0.506016i	−0.0336349	+	0.0212694i
$567$	−13.2672	+	6.96318i	−0.557171	+	0.292426i
$568$	−1.05503	−	8.68898i	−0.0442682	−	0.364581i
$569$	−6.29925	+	0.508528i	−0.264079	+	0.0213186i	−0.211797	−	0.977314i	$-0.567931\pi$
$569$	−6.29925	+	0.508528i	−0.264079	+	0.0213186i	−0.0522818	+	0.998632i	$0.516649\pi$
$570$	10.2401	+	5.37439i	0.428909	+	0.225109i
$571$	1.26846	−	3.34466i	0.0530834	−	0.139970i	−0.905852	−	0.423595i	$-0.860768\pi$
$571$	1.26846	−	3.34466i	0.0530834	−	0.139970i	0.958935	+	0.283625i	$0.0915372\pi$
$572$	17.3886	−	2.82592i	0.727054	−	0.118158i
$573$	0.00621388	−	0.154196i	0.000259588	−	0.00644162i
$574$	4.02859	−	33.1784i	0.168150	−	1.38484i
$575$	8.34691	+	22.0090i	0.348090	+	0.917838i
$576$	0.640275	+	1.10899i	0.0266781	+	0.0462079i
$577$	−16.7797	+	29.0633i	−0.698548	+	1.20992i	0.270422	+	0.962742i	$0.412837\pi$
$577$	−16.7797	+	29.0633i	−0.698548	+	1.20992i	−0.968970	+	0.247178i	$0.920497\pi$
$578$	−13.7851	−	2.24030i	−0.573385	−	0.0931842i
$579$	−3.55262	+	17.4019i	−0.147642	+	0.723198i
$580$	1.85947	+	2.69391i	0.0772104	+	0.111859i
$581$	19.0737	−	65.8501i	0.791311	−	2.73192i
$582$	1.03452	−	0.777394i	0.0428824	−	0.0322240i
$583$	14.6628	+	11.0184i	0.607273	+	0.456336i
$584$	−0.174884	−	0.603770i	−0.00723676	−	0.0249842i
$585$	4.87419	−	5.96980i	0.201523	−	0.246821i
$586$	−12.6748	−	3.12405i	−0.523590	−	0.129053i
$587$	−16.2664	+	5.43052i	−0.671386	+	0.224141i	−0.631866	−	0.775077i	$-0.717711\pi$
$587$	−16.2664	+	5.43052i	−0.671386	+	0.224141i	−0.0395193	+	0.999219i	$0.512583\pi$
$588$	13.4319	+	5.72278i	0.553920	+	0.236003i
$589$	20.0409	+	42.2354i	0.825772	+	1.74028i
$590$	2.31820	+	2.83928i	0.0954389	+	0.116891i
$591$	4.33649	−	6.28249i	0.178379	−	0.258427i
$592$	−4.41465	−	4.59613i	−0.181441	−	0.188900i
$593$	15.7089	+	16.3547i	0.645085	+	0.671605i	0.960798	−	0.277250i	$-0.0894230\pi$
$593$	15.7089	+	16.3547i	0.645085	+	0.671605i	−0.315712	+	0.948855i	$0.602243\pi$
$594$	9.65396	−	13.9862i	0.396107	−	0.573860i
$595$	−4.85237	−	5.94307i	−0.198928	−	0.243642i
$596$	9.98177	+	21.0361i	0.408869	+	0.861674i
$597$	−15.9109	−	6.77898i	−0.651188	−	0.277445i
$598$	33.0555	−	11.0355i	1.35174	−	0.451277i
$599$	3.59799	+	0.886824i	0.147010	+	0.0362346i	0.312134	−	0.950038i	$-0.398956\pi$
$599$	3.59799	+	0.886824i	0.147010	+	0.0362346i	−0.165124	+	0.986273i	$0.552802\pi$
$600$	−3.25928	+	3.99190i	−0.133060	+	0.162969i
$601$	12.3885	+	42.7701i	0.505338	+	1.74463i	0.654742	+	0.755852i	$0.272777\pi$
$601$	12.3885	+	42.7701i	0.505338	+	1.74463i	−0.149405	+	0.988776i	$0.547736\pi$
$602$	−0.691335	−	0.519504i	−0.0281767	−	0.0211734i
$603$	5.97636	−	4.49094i	0.243376	−	0.182885i
$604$	−0.631497	+	2.18018i	−0.0256952	+	0.0887103i
$605$	−1.07705	−	1.56037i	−0.0437882	−	0.0634382i
$606$	−2.08637	+	10.2197i	−0.0847531	+	0.415148i
$607$	−32.9017	−	5.34705i	−1.33544	−	0.217030i	−0.549583	−	0.835439i	$-0.685214\pi$
$607$	−32.9017	−	5.34705i	−1.33544	−	0.217030i	−0.785857	+	0.618409i	$0.787778\pi$
$608$	4.26324	−	7.38415i	0.172897	−	0.299467i
$609$	8.83561	+	15.3037i	0.358037	+	0.620138i
$610$	−1.87665	−	4.94832i	−0.0759833	−	0.200352i
$611$	7.05495	−	58.1028i	0.285413	−	2.35059i
$612$	0.0898141	−	2.22871i	0.00363052	−	0.0900904i
$613$	−30.3251	+	4.92831i	−1.22482	+	0.199053i	−0.738213	−	0.674568i	$-0.764330\pi$
$613$	−30.3251	+	4.92831i	−1.22482	+	0.199053i	−0.486607	+	0.873621i	$0.661766\pi$
$614$	1.06893	−	2.81853i	0.0431383	−	0.113746i
$615$	−9.42573	−	4.94701i	−0.380082	−	0.199483i
$616$	−12.8515	+	1.03748i	−0.517801	+	0.0418012i
$617$	−0.922935	−	7.60105i	−0.0371560	−	0.306007i	−0.999425	−	0.0339070i	$-0.989205\pi$
$617$	−0.922935	−	7.60105i	−0.0371560	−	0.306007i	0.962269	−	0.272100i	$-0.0877181\pi$
$618$	−0.332987	+	0.174765i	−0.0133947	+	0.00703009i
$619$	23.0131	−	14.5526i	0.924976	−	0.584920i	0.0151394	−	0.999885i	$-0.495181\pi$
$619$	23.0131	−	14.5526i	0.924976	−	0.584920i	0.909837	+	0.414966i	$0.136206\pi$
$620$	5.50637	−	1.35720i	0.221141	−	0.0545064i
$621$	14.4118	−	30.3721i	0.578324	−	1.21879i
$622$	−1.14085	+	1.01070i	−0.0457438	+	0.0405254i
$623$	−20.3512	+	8.67082i	−0.815353	+	0.347389i
$624$	5.71091	+	5.05942i	0.228619	+	0.202539i
$625$	9.57667	+	3.19716i	0.383067	+	0.127887i
$626$	17.8162	+	11.2663i	0.712079	+	0.450291i
$627$	−33.7417	−	2.72391i	−1.34751	−	0.108783i
$628$	−0.535320	−	13.2838i	−0.0213616	−	0.530083i
$629$	2.22040	+	10.8762i	0.0885332	+	0.433664i
$630$	−3.90731	+	4.06794i	−0.155671	+	0.162071i
$631$	−29.9101			−1.19070			−0.595352	−	0.803465i	$-0.702987\pi$
$631$	−29.9101			−1.19070			−0.595352	+	0.803465i	$0.702987\pi$
$632$	−6.66686	+	5.87817i	−0.265194	+	0.233821i
$633$	7.28398			0.289512
$634$	−20.2964	+	21.1308i	−0.806072	+	0.839210i
$635$	−2.16622	−	10.6109i	−0.0859638	−	0.421079i
$636$	0.319853	+	7.93707i	0.0126830	+	0.314725i
$637$	−64.5751	−	5.21304i	−2.55856	−	0.206548i
$638$	−8.09821	−	5.12100i	−0.320611	−	0.202742i
$639$	10.6316	+	3.54934i	0.420578	+	0.140410i
$640$	−0.774227	−	0.685905i	−0.0306040	−	0.0271128i
$641$	−2.69858	+	1.14976i	−0.106587	+	0.0454126i	−0.444602	−	0.895728i	$-0.646655\pi$
$641$	−2.69858	+	1.14976i	−0.106587	+	0.0454126i	0.338015	+	0.941141i	$0.390245\pi$
$642$	3.67428	−	3.25513i	0.145012	−	0.128470i
$643$	−0.0763210	+	0.160843i	−0.00300981	+	0.00634303i	−0.904950	−	0.425518i	$-0.860092\pi$
$643$	−0.0763210	+	0.160843i	−0.00300981	+	0.00634303i	0.901940	+	0.431861i	$0.142143\pi$
$644$	−24.7640	+	6.10377i	−0.975837	+	0.240522i
$645$	−0.232793	+	0.147209i	−0.00916622	+	0.00579637i
$646$	−13.1506	+	6.90199i	−0.517405	+	0.271555i
$647$	1.16868	+	9.62495i	0.0459455	+	0.378396i	0.997486	+	0.0708705i	$0.0225777\pi$
$647$	1.16868	+	9.62495i	0.0459455	+	0.378396i	−0.951540	+	0.307525i	$0.900499\pi$
$648$	3.50713	−	0.283125i	0.137773	−	0.0111222i
$649$	−9.50032	−	4.98615i	−0.372920	−	0.195724i
$650$	8.10889	−	21.3814i	0.318057	−	0.838647i
$651$	30.2195	−	4.91114i	1.18439	−	0.192483i
$652$	0.0251304	−	0.623605i	0.000984183	−	0.0244223i
$653$	−1.93201	+	15.9115i	−0.0756053	+	0.622665i	0.904823	+	0.425788i	$0.140003\pi$
$653$	−1.93201	+	15.9115i	−0.0756053	+	0.622665i	−0.980428	+	0.196877i	$0.936920\pi$
$654$	4.46128	+	11.7634i	0.174450	+	0.459987i
$655$	7.81662	+	13.5388i	0.305420	+	0.529004i
$656$	−3.92422	+	6.79694i	−0.153215	+	0.265376i
$657$	0.794515	+	0.129121i	0.0309970	+	0.00503750i
$658$	−8.56838	+	41.9707i	−0.334030	+	1.63619i
$659$	−5.43993	−	7.88109i	−0.211909	−	0.307004i	0.702587	−	0.711598i	$-0.252028\pi$
$659$	−5.43993	−	7.88109i	−0.211909	−	0.307004i	−0.914496	+	0.404594i	$0.867413\pi$
$660$	−1.14252	+	3.94443i	−0.0444724	+	0.153537i
$661$	3.60829	−	2.71146i	0.140346	−	0.105463i	−0.528250	−	0.849089i	$-0.677152\pi$
$661$	3.60829	−	2.71146i	0.140346	−	0.105463i	0.668597	+	0.743625i	$0.266895\pi$
$662$	8.34316	+	6.26948i	0.324266	+	0.243670i
$663$	−3.69744	−	12.7651i	−0.143597	−	0.495754i
$664$	−10.1818	+	12.4704i	−0.395129	+	0.483945i
$665$	36.4657	+	8.98798i	1.41408	+	0.348539i
$666$	7.74080	−	2.58426i	0.299950	−	0.100138i
$667$	−17.4372	−	7.42929i	−0.675170	−	0.287663i
$668$	−4.38200	−	9.23488i	−0.169545	−	0.357308i
$669$	9.69417	+	11.8732i	0.374798	+	0.459044i
$670$	−3.43021	+	4.96952i	−0.132521	+	0.191989i
$671$	10.7310	+	11.1722i	0.414267	+	0.431298i
$672$	−3.86817	−	4.02719i	−0.149218	−	0.155352i
$673$	−27.0991	+	39.2598i	−1.04459	+	1.51335i	−0.198656	+	0.980069i	$0.563657\pi$
$673$	−27.0991	+	39.2598i	−1.04459	+	1.51335i	−0.845937	+	0.533284i	$0.820958\pi$
$674$	−5.43165	−	6.65256i	−0.209219	−	0.256247i
$675$	−9.45681	−	19.9298i	−0.363993	−	0.767098i
$676$	−19.1863	−	8.17453i	−0.737935	−	0.314405i
$677$	12.5740	−	4.19782i	0.483258	−	0.161335i	−0.0645919	−	0.997912i	$-0.520575\pi$
$677$	12.5740	−	4.19782i	0.483258	−	0.161335i	0.547850	+	0.836576i	$0.315446\pi$
$678$	2.92553	+	0.721078i	0.112354	+	0.0276928i
$679$	2.65786	−	3.25529i	0.101999	−	0.124926i
$680$	0.501262	+	1.73056i	0.0192225	+	0.0663638i
$681$	23.2588	+	17.4779i	0.891279	+	0.669753i
$682$	−13.2710	+	9.97249i	−0.508172	+	0.381866i
$683$	3.42858	−	11.8368i	0.131191	−	0.452924i	−0.867844	−	0.496836i	$-0.834495\pi$
$683$	3.42858	−	11.8368i	0.131191	−	0.452924i	0.999035	+	0.0439122i	$0.0139822\pi$
$684$	6.20246	+	8.98582i	0.237157	+	0.343581i
$685$	1.75994	−	8.62074i	0.0672438	−	0.329382i
$686$	17.3777	+	2.82415i	0.663484	+	0.107827i
$687$	6.64252	−	11.5052i	0.253428	−	0.438950i
$688$	0.101536	+	0.175866i	0.00387103	+	0.00670482i
$689$	−12.4990	−	32.9571i	−0.476173	−	1.25557i
$690$	−0.979177	+	8.06425i	−0.0372766	+	0.307001i
$691$	1.02443	−	25.4210i	0.0389712	−	0.967061i	−0.854915	−	0.518768i	$-0.826391\pi$
$691$	1.02443	−	25.4210i	0.0389712	−	0.967061i	0.893887	−	0.448293i	$-0.147968\pi$
$692$	−4.01313	+	0.652198i	−0.152556	+	0.0247928i
$693$	5.85470	−	15.4376i	0.222402	−	0.586425i
$694$	5.89021	+	3.09142i	0.223589	+	0.117349i
$695$	0.0187967	−	0.00151743i	0.000713001	−	5.75594e-5i
$696$	−0.500190	−	4.11944i	−0.0189597	−	0.156147i
$697$	12.1049	−	6.35312i	0.458504	−	0.240642i
$698$	8.04241	−	5.08571i	0.304410	−	0.192497i
$699$	−0.910982	+	0.224537i	−0.0344565	+	0.00849276i
$700$	−7.17465	+	15.1203i	−0.271176	+	0.571492i
$701$	7.22079	−	6.39706i	0.272726	−	0.241614i	−0.515663	−	0.856792i	$-0.672454\pi$
$701$	7.22079	−	6.39706i	0.272726	−	0.241614i	0.788388	+	0.615178i	$0.210916\pi$
$702$	−30.0459	+	12.8014i	−1.13401	+	0.483156i
$703$	−40.6727	−	36.0329i	−1.53400	−	1.35901i
$704$	2.87189	+	0.958776i	0.108238	+	0.0361352i
$705$	11.5314	+	7.29202i	0.434298	+	0.274633i
$706$	−17.7334	−	1.43159i	−0.667407	−	0.0538787i
$707$	1.36395	+	33.8461i	0.0512967	+	1.27292i
$708$	−0.929477	−	4.55288i	−0.0349319	−	0.171108i
$709$	33.3627	−	34.7342i	1.25296	−	1.30447i	0.318712	−	0.947852i	$-0.396750\pi$
$709$	33.3627	−	34.7342i	1.25296	−	1.30447i	0.934250	−	0.356620i	$-0.116071\pi$
$710$	−9.05351			−0.339772
$711$	−3.14068	−	10.9399i	−0.117785	−	0.410278i
$712$	5.19470			0.194680
$713$	−22.7478	+	23.6830i	−0.851911	+	0.886934i
$714$	1.94554	+	9.52990i	0.0728102	+	0.356648i
$715$	−0.733726	−	18.2072i	−0.0274398	−	0.680912i
$716$	−10.6390	−	0.858872i	−0.397600	−	0.0320976i
$717$	−11.8993	−	7.52467i	−0.444388	−	0.281014i
$718$	−6.35916	−	2.12300i	−0.237322	−	0.0792296i
$719$	−9.10547	−	8.06674i	−0.339577	−	0.300839i	0.476049	−	0.879419i	$-0.342069\pi$
$719$	−9.10547	−	8.06674i	−0.339577	−	0.300839i	−0.815626	+	0.578580i	$0.803607\pi$
$720$	1.21855	−	0.519178i	0.0454129	−	0.0193486i
$721$	−0.914144	+	0.809861i	−0.0340445	+	0.0301608i
$722$	23.0212	−	48.5161i	0.856760	−	1.80558i
$723$	−18.6812	+	4.60451i	−0.694762	+	0.171243i
$724$	17.4962	−	11.0639i	0.650241	−	0.411187i
$725$	−11.0127	+	5.77989i	−0.409000	+	0.214660i
$726$	0.289722	+	2.38607i	0.0107526	+	0.0885554i
$727$	−3.07691	+	0.248394i	−0.114116	+	0.00921243i	−0.137393	−	0.990517i	$-0.543872\pi$
$727$	−3.07691	+	0.248394i	−0.114116	+	0.00921243i	0.0232764	+	0.999729i	$0.492590\pi$
$728$	21.9397	+	11.5148i	0.813138	+	0.426768i
$729$	−9.42761	+	24.8586i	−0.349171	+	0.920688i
$730$	−0.641765	+	0.104297i	−0.0237528	+	0.00386020i
$731$	0.0142429	−	0.353434i	0.000526793	−	0.0130722i
$732$	−0.808690	+	6.66016i	−0.0298900	+	0.246167i
$733$	−7.05506	−	18.6027i	−0.260584	−	0.687105i	−0.999905	−	0.0137516i	$-0.995623\pi$
$733$	−7.05506	−	18.6027i	−0.260584	−	0.687105i	0.739321	−	0.673353i	$-0.235147\pi$
$734$	−17.6571	−	30.5830i	−0.651735	−	1.12884i
$735$	7.55089	−	13.0785i	0.278519	−	0.482409i
$736$	5.91175	+	0.960753i	0.217910	+	0.0354138i
$737$	3.53551	−	17.3181i	0.130232	−	0.637919i
$738$	−5.70923	−	8.27124i	−0.210160	−	0.304469i
$739$	8.21122	−	28.3484i	0.302055	−	1.04281i	−0.655651	−	0.755064i	$-0.727606\pi$
$739$	8.21122	−	28.3484i	0.302055	−	1.04281i	0.957706	−	0.287749i	$-0.0929070\pi$
$740$	−5.26979	+	3.95999i	−0.193721	+	0.145572i
$741$	52.0073	+	39.0810i	1.91054	+	1.43568i
$742$	7.17716	+	24.7784i	0.263482	+	0.909645i
$743$	20.4196	−	25.0095i	0.749124	−	0.917510i	−0.249583	−	0.968353i	$-0.580294\pi$
$743$	20.4196	−	25.0095i	0.749124	−	0.917510i	0.998707	+	0.0508435i	$0.0161910\pi$
$744$	−6.98056	−	1.72055i	−0.255920	−	0.0630785i
$745$	22.8447	−	7.62669i	0.836967	−	0.279420i
$746$	13.5438	+	5.77049i	0.495875	+	0.211273i
$747$	−8.83777	−	18.6252i	−0.323357	−	0.681461i
$748$	−3.33539	−	4.08511i	−0.121954	−	0.149366i
$749$	9.05581	−	13.1196i	0.330892	−	0.479380i
$750$	8.39039	+	8.73532i	0.306374	+	0.318969i
$751$	31.6549	+	32.9562i	1.15510	+	1.20259i	0.975769	+	0.218801i	$0.0702147\pi$
$751$	31.6549	+	32.9562i	1.15510	+	1.20259i	0.179334	+	0.983788i	$0.442606\pi$
$752$	5.71426	−	8.27854i	0.208378	−	0.301887i
$753$	17.6475	+	21.6143i	0.643111	+	0.787667i
$754$	7.89368	+	16.6356i	0.287471	+	0.605832i
$755$	2.15991	+	0.920251i	0.0786071	+	0.0334914i
$756$	22.6725	−	7.56918i	0.824590	−	0.275289i
$757$	22.3758	+	5.51514i	0.813262	+	0.200451i	0.623948	−	0.781465i	$-0.285527\pi$
$757$	22.3758	+	5.51514i	0.813262	+	0.200451i	0.189314	+	0.981917i	$0.439374\pi$
$758$	−16.0356	+	19.6400i	−0.582439	+	0.713359i
$759$	−6.61560	−	22.8397i	−0.240131	−	0.829028i
$760$	−7.05063	−	5.29820i	−0.255753	−	0.192186i
$761$	36.5832	−	27.4905i	1.32614	−	0.996529i	0.327475	−	0.944860i	$-0.393802\pi$
$761$	36.5832	−	27.4905i	1.32614	−	0.996529i	0.998664	−	0.0516695i	$-0.0164542\pi$
$762$	−3.81967	+	13.1870i	−0.138372	+	0.477715i
$763$	23.2097	+	33.6250i	0.840246	+	1.21731i
$764$	−0.0235405	+	0.115309i	−0.000851666	+	0.00417173i
$765$	−2.27728	−	0.370094i	−0.0823352	−	0.0133808i
$766$	9.12643	−	15.8074i	0.329751	−	0.571146i
$767$	10.3096	+	17.8567i	0.372257	+	0.644768i
$768$	0.464986	+	1.22607i	0.0167787	+	0.0442419i
$769$	4.54131	−	37.4010i	0.163764	−	1.34872i	−0.646618	−	0.762814i	$-0.723817\pi$
$769$	4.54131	−	37.4010i	0.163764	−	1.34872i	0.810382	−	0.585902i	$-0.199260\pi$
$770$	−0.536997	+	13.3254i	−0.0193520	+	0.480216i
$771$	11.8987	−	1.93373i	0.428522	−	0.0696416i
$772$	4.80301	−	12.6645i	0.172864	−	0.455805i
$773$	10.0398	+	5.26930i	0.361107	+	0.189524i	0.635513	−	0.772090i	$-0.280789\pi$
$773$	10.0398	+	5.26930i	0.361107	+	0.189524i	−0.274406	+	0.961614i	$0.588481\pi$
$774$	−0.259201	+	0.0209249i	−0.00931679	+	0.000752129i
$775$	2.59732	+	21.3909i	0.0932985	+	0.768382i
$776$	−0.873827	+	0.458620i	−0.0313686	+	0.0164635i
$777$	−30.0770	+	19.0196i	−1.07901	+	0.682323i
$778$	−12.7770	+	3.14925i	−0.458078	+	0.112906i
$779$	−28.6879	+	60.4585i	−1.02785	+	2.16615i
$780$	5.90712	−	5.23325i	0.211509	−	0.187380i
$781$	24.3802	−	10.3875i	0.872394	−	0.371692i
$782$	−7.80881	−	6.91800i	−0.279242	−	0.247387i
$783$	16.8488	+	5.62496i	0.602128	+	0.201020i
$784$	−9.41060	−	5.95091i	−0.336093	−	0.212532i
$785$	−13.7068	−	1.10653i	−0.489216	−	0.0394936i
$786$	−0.798015	−	19.8025i	−0.0284642	−	0.706333i
$787$	−3.24931	−	15.9162i	−0.115825	−	0.567350i	−0.995739	−	0.0922166i	$-0.970605\pi$
$787$	−3.24931	−	15.9162i	−0.115825	−	0.567350i	0.879914	−	0.475134i	$-0.157600\pi$
$788$	−4.03280	+	4.19859i	−0.143662	+	0.149568i
$789$	−40.7499			−1.45073
$790$	5.20459	+	7.57852i	0.185171	+	0.269631i
$791$	9.78514			0.347919
$792$	−2.68578	+	2.79619i	−0.0954350	+	0.0993583i
$793$	−5.95479	−	29.1685i	−0.211461	−	1.03580i
$794$	−0.531588	−	13.1912i	−0.0188654	−	0.468139i
$795$	8.18978	+	0.661147i	0.290462	+	0.0234485i
$796$	11.1474	+	7.04921i	0.395110	+	0.249853i
$797$	45.8923	+	15.3211i	1.62559	+	0.542701i	0.976034	−	0.217616i	$-0.0698280\pi$
$797$	45.8923	+	15.3211i	1.62559	+	0.542701i	0.649553	+	0.760317i	$0.274956\pi$
$798$	−35.6380	−	31.5725i	−1.26157	−	1.11765i
$799$	−16.1195	+	6.86786i	−0.570266	+	0.242967i
$800$	2.94173	−	2.60614i	0.104006	−	0.0921410i
$801$	−2.85170	+	6.00982i	−0.100760	+	0.212347i
$802$	23.8828	−	5.88658i	0.843331	−	0.207862i
$803$	1.60855	−	1.01718i	0.0567644	−	0.0358956i
$804$	6.77820	−	3.55748i	0.239049	−	0.125462i
$805$	3.17992	+	26.1890i	0.112078	+	0.923042i
$806$	31.7983	−	2.56702i	1.12005	−	0.0904196i
$807$	20.0661	+	10.5315i	0.706361	+	0.370727i
$808$	2.82069	−	7.43756i	0.0992316	−	0.261652i
$809$	−49.3221	+	8.01562i	−1.73407	+	0.281814i	−0.943697	−	0.330810i	$-0.892678\pi$
$809$	−49.3221	+	8.01562i	−1.73407	+	0.281814i	−0.790375	+	0.612624i	$0.790114\pi$
$810$	0.146545	−	3.63648i	0.00514907	−	0.127773i
$811$	−4.96419	+	40.8838i	−0.174316	+	1.43562i	0.598565	+	0.801074i	$0.295738\pi$
$811$	−4.96419	+	40.8838i	−0.174316	+	1.43562i	−0.772882	+	0.634550i	$0.781185\pi$
$812$	−4.77877	−	12.6006i	−0.167702	−	0.442194i
$813$	−14.9636	−	25.9177i	−0.524796	−	0.908973i
$814$	9.64759	−	16.7101i	0.338148	−	0.585689i
$815$	−0.637194	−	0.103554i	−0.0223199	−	0.00362734i
$816$	0.456868	−	2.23789i	0.0159936	−	0.0783417i
$817$	0.983600	+	1.42499i	0.0344118	+	0.0498541i
$818$	−1.00409	+	3.46652i	−0.0351072	+	0.121204i
$819$	−25.3657	+	19.0611i	−0.886349	+	0.666048i
$820$	6.48994	+	4.87687i	0.226639	+	0.170308i
$821$	2.02004	+	6.97398i	0.0704998	+	0.243393i	0.988027	−	0.154279i	$-0.0493053\pi$
$821$	2.02004	+	6.97398i	0.0704998	+	0.243393i	−0.917528	+	0.397672i	$0.869818\pi$
$822$	−7.05438	+	8.64005i	−0.246050	+	0.301356i
$823$	12.1791	+	3.00187i	0.424535	+	0.104639i	0.445794	−	0.895135i	$-0.352921\pi$
$823$	12.1791	+	3.00187i	0.424535	+	0.104639i	−0.0212589	+	0.999774i	$0.506767\pi$
$824$	0.272032	−	0.0908176i	0.00947669	−	0.00316378i
$825$	−14.3546	−	6.11591i	−0.499762	−	0.212929i
$826$	−6.46926	−	13.6337i	−0.225094	−	0.474376i
$827$	22.7483	+	27.8616i	0.791035	+	0.968842i	0.999959	−	0.00908973i	$-0.00289339\pi$
$827$	22.7483	+	27.8616i	0.791035	+	0.968842i	−0.208923	+	0.977932i	$0.566996\pi$
$828$	−4.35683	+	6.31196i	−0.151410	+	0.219356i
$829$	16.8388	+	17.5311i	0.584837	+	0.608880i	0.946215	−	0.323540i	$-0.104873\pi$
$829$	16.8388	+	17.5311i	0.584837	+	0.608880i	−0.361378	+	0.932420i	$0.617693\pi$
$830$	11.5354	+	12.0096i	0.400398	+	0.416859i
$831$	0.0503326	−	0.0729194i	0.00174602	−	0.00252955i
$832$	−3.67990	−	4.50705i	−0.127577	−	0.156254i
$833$	8.31417	+	17.5217i	0.288069	+	0.607093i
$834$	−0.0219936	−	0.00937058i	−0.000761575	−	0.000324477i
$835$	−10.0288	+	3.34812i	−0.347063	+	0.115867i
$836$	25.0655	+	6.17809i	0.866908	+	0.213674i
$837$	19.4634	−	23.8384i	0.672755	−	0.823975i
$838$	9.47292	+	32.7043i	0.327237	+	1.12975i
$839$	−34.2453	−	25.7337i	−1.18228	−	0.888425i	−0.186706	−	0.982416i	$-0.559781\pi$
$839$	−34.2453	−	25.7337i	−1.18228	−	0.888425i	−0.995573	+	0.0939906i	$0.970038\pi$
$840$	−4.61746	+	3.46980i	−0.159317	+	0.119719i
$841$	−5.28201	+	18.2356i	−0.182138	+	0.628815i
$842$	−13.7033	−	19.8526i	−0.472246	−	0.684166i
$843$	8.44222	−	41.3527i	0.290766	−	1.42426i
$844$	−5.48294	−	0.891065i	−0.188731	−	0.0306717i
$845$	−10.7858	+	18.6816i	−0.371044	+	0.642667i
$846$	6.44064	+	11.1555i	0.221434	+	0.383535i
$847$	2.76797	+	7.29855i	0.0951087	+	0.250781i
$848$	0.730192	−	6.01367i	0.0250749	−	0.206510i
$849$	0.0499893	−	1.24047i	0.00171563	−	0.0425728i
$850$	−6.75699	+	1.09812i	−0.231763	+	0.0376652i
$851$	13.5350	−	35.6887i	0.463972	−	1.22339i
$852$	10.1627	+	5.33379i	0.348168	+	0.182733i
$853$	1.44157	−	0.116375i	0.0493584	−	0.00398462i	−0.0557627	−	0.998444i	$-0.517759\pi$
$853$	1.44157	−	0.116375i	0.0493584	−	0.00398462i	0.105121	+	0.994459i	$0.466477\pi$
$854$	2.62626	+	21.6292i	0.0898688	+	0.740136i
$855$	10.0001	−	5.24845i	0.341996	−	0.179493i
$856$	−3.16398	+	2.00078i	−0.108143	+	0.0683852i
$857$	10.8334	−	2.67020i	0.370062	−	0.0912122i	−0.0498987	−	0.998754i	$-0.515890\pi$
$857$	10.8334	−	2.67020i	0.370062	−	0.0912122i	0.419961	+	0.907542i	$0.362044\pi$
$858$	−9.90299	+	20.8701i	−0.338083	+	0.712494i
$859$	14.1800	−	12.5624i	0.483814	−	0.428622i	−0.385630	−	0.922654i	$-0.626016\pi$
$859$	14.1800	−	12.5624i	0.483814	−	0.428622i	0.869444	+	0.494032i	$0.164477\pi$
$860$	0.193241	−	0.0823323i	0.00658946	−	0.00280751i
$861$	32.8040	+	29.0618i	1.11796	+	0.990422i
$862$	−8.94585	−	2.98656i	−0.304697	−	0.101723i
$863$	25.7915	+	16.3095i	0.877952	+	0.555183i	0.895700	−	0.444659i	$-0.146675\pi$
$863$	25.7915	+	16.3095i	0.877952	+	0.555183i	−0.0177479	+	0.999842i	$0.505650\pi$
$864$	−5.59479	−	0.451658i	−0.190339	−	0.0153657i
$865$	0.169337	+	4.20206i	0.00575764	+	0.142874i
$866$	−2.15943	−	10.5776i	−0.0733803	−	0.359440i
$867$	12.6860	−	13.2076i	0.430841	−	0.448553i
$868$	−23.3482			−0.792488
$869$	−22.7106	−	14.4368i	−0.770404	−	0.489735i
$870$	−4.29226			−0.145521
$871$	−23.5302	+	24.4975i	−0.797291	+	0.830068i
$872$	−1.91914	−	9.40056i	−0.0649902	−	0.318343i
$873$	−0.0508854	−	1.26271i	−0.00172221	−	0.0427362i
$874$	50.9021	+	4.10925i	1.72179	+	0.138997i
$875$	33.2454	+	21.0231i	1.12390	+	0.710712i
$876$	0.781835	+	0.261015i	0.0264157	+	0.00881887i
$877$	−40.0867	−	35.5137i	−1.35363	−	1.19921i	−0.960019	−	0.279935i	$-0.909687\pi$
$877$	−40.0867	−	35.5137i	−1.35363	−	1.19921i	−0.393612	−	0.919277i	$-0.628775\pi$
$878$	4.06921	−	1.73373i	0.137329	−	0.0585105i
$879$	12.8127	−	11.3510i	0.432160	−	0.382861i
$880$	1.34255	−	2.82936i	0.0452573	−	0.0953776i
$881$	10.1926	−	2.51224i	0.343397	−	0.0846397i	−0.0638458	−	0.997960i	$-0.520337\pi$
$881$	10.1926	−	2.51224i	0.343397	−	0.0846397i	0.407242	+	0.913320i	$0.366490\pi$
$882$	12.0507	−	7.62043i	0.405770	−	0.256593i
$883$	−28.3963	+	14.9035i	−0.955613	+	0.501544i	−0.869062	−	0.494703i	$-0.835277\pi$
$883$	−28.3963	+	14.9035i	−0.955613	+	0.501544i	−0.0865507	+	0.996247i	$0.527584\pi$
$884$	1.22164	+	10.0611i	0.0410881	+	0.338391i
$885$	−4.79085	+	0.386758i	−0.161043	+	0.0130007i
$886$	8.13482	+	4.26948i	0.273295	+	0.143436i
$887$	−10.6185	+	27.9986i	−0.356534	+	0.940102i	0.630007	+	0.776589i	$0.283052\pi$
$887$	−10.6185	+	27.9986i	−0.356534	+	0.940102i	−0.986541	+	0.163513i	$0.947717\pi$
$888$	8.24840	−	1.34049i	0.276798	−	0.0449841i
$889$	−1.79529	+	44.5497i	−0.0602121	+	1.49415i
$890$	0.647665	−	5.33400i	0.0217098	−	0.178796i
$891$	3.77764	+	9.96082i	0.126556	+	0.333700i
$892$	−5.84471	−	10.1233i	−0.195695	−	0.338954i
$893$	42.8847	−	74.2785i	1.43508	−	2.48563i
$894$	−30.1367	−	4.89769i	−1.00792	−	0.163803i
$895$	−2.20836	+	10.8172i	−0.0738172	+	0.361581i
$896$	2.41907	+	3.50463i	0.0808154	+	0.117081i
$897$	−12.7136	+	43.8924i	−0.424495	+	1.46553i
$898$	21.7071	−	16.3118i	0.724375	−	0.544333i
$899$	−13.8711	−	10.4235i	−0.462627	−	0.347642i
$900$	1.40018	+	4.83400i	0.0466728	+	0.161133i
$901$	−6.67345	+	8.17350i	−0.222325	+	0.272299i
$902$	−23.0722	−	5.68679i	−0.768221	−	0.189349i
$903$	1.07560	−	0.359087i	0.0357937	−	0.0119497i
$904$	−2.11395	−	0.900669i	−0.0703089	−	0.0299558i
$905$	−9.17921	−	19.3448i	−0.305127	−	0.643042i
$906$	−1.88237	−	2.30548i	−0.0625375	−	0.0765945i
$907$	−14.5077	+	21.0180i	−0.481720	+	0.697891i	−0.986205	−	0.165529i	$-0.947067\pi$
$907$	−14.5077	+	21.0180i	−0.481720	+	0.697891i	0.504485	+	0.863420i	$0.331682\pi$
$908$	−15.3697	−	16.0016i	−0.510062	−	0.531030i
$909$	7.05616	+	7.34624i	0.234038	+	0.243659i
$910$	14.5590	−	21.0923i	0.482626	−	0.699204i
$911$	15.5839	+	19.0868i	0.516318	+	0.632374i	0.965293	−	0.261170i	$-0.0841083\pi$
$911$	15.5839	+	19.0868i	0.516318	+	0.632374i	−0.448975	+	0.893544i	$0.648211\pi$
$912$	4.79304	+	10.1011i	0.158713	+	0.334481i
$913$	−44.8427	−	19.1057i	−1.48408	−	0.632306i
$914$	−17.2738	+	5.76685i	−0.571368	+	0.190751i
$915$	6.73793	+	1.66075i	0.222749	+	0.0549027i
$916$	−6.40754	+	7.84781i	−0.211711	+	0.259299i
$917$	−17.9066	−	61.8208i	−0.591328	−	2.04150i
$918$	7.81613	+	5.87344i	0.257971	+	0.193852i
$919$	39.4851	−	29.6711i	1.30249	−	0.978760i	0.302824	−	0.953047i	$-0.402071\pi$
$919$	39.4851	−	29.6711i	1.30249	−	0.978760i	0.999669	−	0.0257137i	$-0.00818581\pi$
$920$	1.72358	−	5.95049i	0.0568248	−	0.196182i
$921$	2.24541	+	3.25304i	0.0739887	+	0.107191i
$922$	−6.00255	+	29.4024i	−0.197683	+	0.968317i
$923$	−50.2688	−	8.16947i	−1.65462	−	0.268902i
$924$	8.45334	−	14.6416i	0.278095	−	0.481674i
$925$	−12.5230	−	21.6905i	−0.411755	−	0.713180i
$926$	8.39619	+	22.1389i	0.275916	+	0.727530i
$927$	−0.0442672	+	0.364573i	−0.00145392	+	0.0119741i
$928$	−0.127426	+	3.16205i	−0.00418297	+	0.103799i
$929$	−14.8084	+	2.40659i	−0.485847	+	0.0789578i	−0.398401	−	0.917211i	$-0.630435\pi$
$929$	−14.8084	+	2.40659i	−0.485847	+	0.0789578i	−0.0874460	+	0.996169i	$0.527871\pi$
$930$	−2.63701	+	6.95323i	−0.0864710	+	0.228005i
$931$	−84.0621	−	44.1192i	−2.75502	−	1.44595i
$932$	0.713200	−	0.0575754i	0.0233616	−	0.00188595i
$933$	−0.240903	−	1.98402i	−0.00788683	−	0.0649538i
$934$	−32.5988	+	17.1091i	−1.06666	+	0.559828i
$935$	−4.61050	+	2.91550i	−0.150779	+	0.0953472i
$936$	7.23439	−	1.78312i	0.236464	−	0.0582830i
$937$	−25.9153	+	54.6153i	−0.846615	+	1.78420i	−0.280558	+	0.959837i	$0.590520\pi$
$937$	−25.9153	+	54.6153i	−0.846615	+	1.78420i	−0.566057	+	0.824366i	$0.691532\pi$
$938$	18.6081	−	16.4853i	0.607575	−	0.538265i
$939$	−25.4293	+	10.8344i	−0.829852	+	0.353567i
$940$	−7.78809	−	6.89964i	−0.254019	−	0.225042i
$941$	0.454499	+	0.151734i	0.0148162	+	0.00494639i	0.324066	−	0.946034i	$-0.394950\pi$
$941$	0.454499	+	0.151734i	0.0148162	+	0.00494639i	−0.309250	+	0.950981i	$0.600078\pi$
$942$	14.7341	+	9.31731i	0.480064	+	0.303574i
$943$	−46.8543	−	3.78247i	−1.52578	−	0.123174i
$944$	0.142691	+	3.54084i	0.00464419	+	0.115244i
$945$	−4.94540	−	24.2241i	−0.160874	−	0.788012i
$946$	−0.425916	+	0.443426i	−0.0138477	+	0.0144170i
$947$	2.20879			0.0717760			0.0358880	−	0.999356i	$-0.488574\pi$
$947$	2.20879			0.0717760			0.0358880	+	0.999356i	$0.488574\pi$
$948$	−1.37741	−	11.5732i	−0.0447362	−	0.375881i
$949$	−3.65745			−0.118726
$950$	23.2132	−	24.1675i	0.753135	−	0.784097i
$951$	−7.68490	−	37.6432i	−0.249200	−	1.22066i
$952$	−0.298675	−	7.41153i	−0.00968010	−	0.240209i
$953$	−34.0559	−	2.74928i	−1.10318	−	0.0890578i	−0.484567	−	0.874754i	$-0.661023\pi$
$953$	−34.0559	−	2.74928i	−1.10318	−	0.0890578i	−0.618612	+	0.785697i	$0.712305\pi$
$954$	6.55645	+	4.14605i	0.212273	+	0.134233i
$955$	0.115466	+	0.0385482i	0.00373640	+	0.00124739i
$956$	8.03657	+	7.11978i	0.259921	+	0.230270i
$957$	11.5587	−	4.92468i	0.373638	−	0.159192i
$958$	−16.9651	+	15.0298i	−0.548117	+	0.485590i
$959$	−15.5288	+	32.7262i	−0.501451	+	1.05678i
$960$	1.31692	−	0.324591i	0.0425033	−	0.0104761i
$961$	0.793590	−	0.501836i	0.0255997	−	0.0161883i
$962$	−32.8333	+	17.2323i	−1.05859	+	0.555590i
$963$	−0.577823	−	4.75880i	−0.0186201	−	0.153350i
$964$	14.6254	−	1.18068i	0.471051	−	0.0380272i
$965$	−12.4053	−	6.51078i	−0.399339	−	0.209589i
$966$	11.8595	−	31.2710i	0.381573	−	1.00613i
$967$	5.81410	−	0.944884i	0.186969	−	0.0303854i	−0.0662057	−	0.997806i	$-0.521089\pi$
$967$	5.81410	−	0.944884i	0.186969	−	0.0303854i	0.253175	+	0.967421i	$0.418525\pi$
$968$	0.0738082	−	1.83153i	0.00237229	−	0.0588677i
$969$	2.34744	−	19.3329i	0.0754105	−	0.621062i
$970$	0.361971	+	0.954439i	0.0116222	+	0.0306452i
$971$	17.3674	+	30.0812i	0.557346	+	0.965351i	0.997717	+	0.0675353i	$0.0215135\pi$
$971$	17.3674	+	30.0812i	0.557346	+	0.965351i	−0.440371	+	0.897816i	$0.645153\pi$
$972$	6.11259	−	10.5873i	0.196062	−	0.339589i
$973$	−0.0766324	−	0.0124540i	−0.00245672	−	0.000399256i
$974$	1.34772	−	6.60155i	0.0431836	−	0.211527i
$975$	17.0337	+	24.6776i	0.545515	+	0.790315i
$976$	1.42348	−	4.91444i	0.0455646	−	0.157307i
$977$	−11.1111	+	8.34944i	−0.355475	+	0.267122i	−0.763445	−	0.645873i	$-0.776493\pi$
$977$	−11.1111	+	8.34944i	−0.355475	+	0.267122i	0.407969	+	0.912996i	$0.366237\pi$
$978$	0.654250	+	0.491637i	0.0209206	+	0.0157208i
$979$	4.37581	+	15.1070i	0.139851	+	0.482823i
$980$	−7.28378	+	8.92101i	−0.232672	+	0.284971i
$981$	11.9292	+	2.94028i	0.380869	+	0.0938758i
$982$	16.4593	−	5.49491i	0.525236	−	0.175350i
$983$	21.4848	+	9.15383i	0.685260	+	0.291962i	0.706398	−	0.707815i	$-0.250319\pi$
$983$	21.4848	+	9.15383i	0.685260	+	0.291962i	−0.0211385	+	0.999777i	$0.506729\pi$
$984$	−4.41188	−	9.29784i	−0.140646	−	0.296404i
$985$	3.80837	+	4.66441i	0.121345	+	0.148620i
$986$	3.13133	−	4.53652i	0.0997219	−	0.144472i
$987$	−38.9106	−	40.5102i	−1.23854	−	1.28946i
$988$	−34.3671	−	35.7799i	−1.09336	−	1.13831i
$989$	−0.690916	+	1.00096i	−0.0219698	+	0.0318288i
$990$	2.53631	+	3.10642i	0.0806094	+	0.0987286i
$991$	5.69772	+	12.0077i	0.180994	+	0.381437i	0.973588	−	0.228313i	$-0.0733211\pi$
$991$	5.69772	+	12.0077i	0.180994	+	0.381437i	−0.792594	+	0.609750i	$0.791270\pi$
$992$	5.04406	+	2.14907i	0.160149	+	0.0682331i
$993$	−12.9805	+	4.33353i	−0.411924	+	0.137521i
$994$	36.1902	+	8.92007i	1.14788	+	0.282927i
$995$	8.62808	−	10.5675i	0.273528	−	0.335012i
$996$	−5.87326	−	20.2769i	−0.186101	−	0.642497i
$997$	36.8063	+	27.6581i	1.16567	+	0.875942i	0.994018	−	0.109216i	$-0.0348341\pi$
$997$	36.8063	+	27.6581i	1.16567	+	0.875942i	0.171649	+	0.985158i	$0.445091\pi$
$998$	−5.97646	+	4.49102i	−0.189182	+	0.142161i
$999$	−9.95209	+	34.3586i	−0.314870	+	1.08706i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	158.2.g.b.13.3	✓	72
79.73	even	39	inner	158.2.g.b.73.3	yes	72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
158.2.g.b.13.3	✓	72	1.1	even	1	trivial
158.2.g.b.73.3	yes	72	79.73	even	39	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 158 = 2 \cdot 79 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	158.g (of order \(39\), degree \(24\), minimal)

\(f(q)\)	\(=\)	\(q+(0.692724 - 0.721202i) q^{2} +(0.262289 + 1.28478i) q^{3} +(-0.0402659 - 0.999189i) q^{4} +(-1.03100 - 0.0832311i) q^{5} +(1.10828 + 0.700833i) q^{6} +(4.03928 + 1.34851i) q^{7} +(-0.748511 - 0.663123i) q^{8} +(1.17808 - 0.501933i) q^{9} +(-0.774227 + 0.685905i) q^{10} +(1.29795 - 2.73538i) q^{11} +(1.27317 - 0.313809i) q^{12} +(-4.91775 + 3.10980i) q^{13} +(3.77066 - 1.97900i) q^{14} +(-0.163487 - 1.34644i) q^{15} +(-0.996757 + 0.0804666i) q^{16} +(1.54233 + 0.809477i) q^{17} +(0.454089 - 1.19734i) q^{18} +(-8.41607 + 1.36774i) q^{19} +(-0.0416494 + 1.03352i) q^{20} +(-0.673077 + 5.54328i) q^{21} +(-1.07364 - 2.83095i) q^{22} +(-2.99465 - 5.18689i) q^{23} +(0.655639 - 1.13560i) q^{24} +(-3.87921 - 0.630433i) q^{25} +(-1.16385 + 5.70093i) q^{26} +(3.18854 + 4.61940i) q^{27} +(1.18477 - 4.09031i) q^{28} +(2.52993 - 1.90112i) q^{29} +(-1.08431 - 0.814804i) q^{30} +(-1.52541 - 5.26632i) q^{31} +(-0.632445 + 0.774605i) q^{32} +(3.85479 + 0.950121i) q^{33} +(1.65221 - 0.551587i) q^{34} +(-4.05228 - 1.72651i) q^{35} +(-0.548962 - 1.15691i) q^{36} +(4.03050 + 4.93646i) q^{37} +(-4.84359 + 7.01716i) q^{38} +(-5.28528 - 5.50256i) q^{39} +(0.716524 + 0.745981i) q^{40} +(4.45842 - 6.45913i) q^{41} +(3.53157 + 4.32539i) q^{42} +(-0.0870556 - 0.183466i) q^{43} +(-2.78542 - 1.18676i) q^{44} +(-1.25638 + 0.419441i) q^{45} +(-5.81527 - 1.43334i) q^{46} +(-6.36188 + 7.79189i) q^{47} +(-0.364820 - 1.25951i) q^{48} +(8.90124 + 6.68885i) q^{49} +(-3.14189 + 2.36098i) q^{50} +(-0.635461 + 2.19387i) q^{51} +(3.30530 + 4.78855i) q^{52} +(-1.21172 + 5.93541i) q^{53} +(5.54030 + 0.900387i) q^{54} +(-1.56586 + 2.71215i) q^{55} +(-2.12922 - 3.68792i) q^{56} +(-3.96469 - 10.4540i) q^{57} +(0.381453 - 3.14154i) q^{58} +(0.142691 - 3.54084i) q^{59} +(-1.33877 + 0.217571i) q^{60} +(-1.81432 + 4.78396i) q^{61} +(-4.85477 - 2.54798i) q^{62} +(5.43546 - 0.438796i) q^{63} +(0.120537 + 0.992709i) q^{64} +(5.32905 - 2.79690i) q^{65} +(3.35554 - 2.12191i) q^{66} +(5.66821 - 1.39709i) q^{67} +(0.746717 - 1.57367i) q^{68} +(5.87854 - 5.20793i) q^{69} +(-4.05228 + 1.72651i) q^{70} +(6.55156 + 5.80418i) q^{71} +(-1.21465 - 0.405509i) q^{72} +(0.531276 + 0.335959i) q^{73} +(6.35221 + 0.512803i) q^{74} +(-0.207509 - 5.14928i) q^{75} +(1.70552 + 8.35417i) q^{76} +(8.93149 - 9.29867i) q^{77} -7.62970 q^{78} +(1.09227 - 8.82082i) q^{79} +1.03436 q^{80} +(-2.43738 + 2.53758i) q^{81} +(-1.56989 - 7.68982i) q^{82} +(-0.648243 - 16.0860i) q^{83} +(5.56589 + 0.449325i) q^{84} +(-1.52277 - 0.962943i) q^{85} +(-0.192621 - 0.0643065i) q^{86} +(3.10609 + 2.75176i) q^{87} +(-2.78542 + 1.18676i) q^{88} +(-3.88829 + 3.44473i) q^{89} +(-0.567823 + 1.19666i) q^{90} +(-24.0578 + 5.92972i) q^{91} +(-5.06210 + 3.20108i) q^{92} +(6.36596 - 3.34111i) q^{93} +(1.21250 + 9.98583i) q^{94} +(8.79083 - 0.709669i) q^{95} +(-1.16108 - 0.609381i) q^{96} +(0.349948 - 0.922736i) q^{97} +(10.9901 - 1.78607i) q^{98} +(0.156116 - 3.87398i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q + 3 q^{2} + q^{3} + 3 q^{4} - 14 q^{5} + q^{6} - 6 q^{8} + 2 q^{9} + 2 q^{10} + 5 q^{11} - 2 q^{12} - 21 q^{13} - 13 q^{14} - 4 q^{15} + 3 q^{16} + 30 q^{17} - 4 q^{18} - 26 q^{19} - q^{20} - 8 q^{21}+ \cdots - 44 q^{99}+O(q^{100}) \) 72 * q + 3 * q^2 + q^3 + 3 * q^4 - 14 * q^5 + q^6 - 6 * q^8 + 2 * q^9 + 2 * q^10 + 5 * q^11 - 2 * q^12 - 21 * q^13 - 13 * q^14 - 4 * q^15 + 3 * q^16 + 30 * q^17 - 4 * q^18 - 26 * q^19 - q^20 - 8 * q^21 - 23 * q^22 - 5 * q^23 - 12 * q^24 - 17 * q^25 + 31 * q^26 - 59 * q^27 - 2 * q^29 - 37 * q^30 - 19 * q^31 + 3 * q^32 + 76 * q^33 + 11 * q^34 - 17 * q^35 + 2 * q^36 - 19 * q^37 - 12 * q^39 - q^40 + 18 * q^41 + 17 * q^42 - 29 * q^43 - 21 * q^44 - 65 * q^45 - 16 * q^46 - 17 * q^47 + q^48 - 23 * q^49 - 30 * q^50 - 45 * q^51 - 10 * q^52 + 60 * q^53 - 29 * q^54 - 14 * q^55 - 26 * q^56 - 52 * q^57 + 4 * q^58 - 14 * q^59 + 67 * q^60 - 33 * q^61 + 51 * q^62 - 33 * q^63 - 6 * q^64 + 28 * q^65 + 40 * q^66 - 2 * q^67 + 37 * q^68 + 172 * q^69 - 17 * q^70 + 54 * q^71 + 2 * q^72 - 91 * q^73 + 59 * q^74 + 115 * q^75 + 39 * q^76 - 98 * q^77 + 24 * q^78 + 152 * q^79 + 2 * q^80 + 77 * q^81 + 4 * q^82 - 82 * q^83 - 9 * q^84 + 175 * q^85 + 49 * q^86 + 21 * q^87 - 21 * q^88 + 74 * q^89 - 39 * q^90 + 53 * q^91 + 21 * q^92 + 8 * q^93 + 112 * q^94 - 2 * q^96 + 34 * q^97 + 16 * q^98 - 44 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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