LMFDB - Embedded newform 170.2.r.a.107.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [170,2,Mod(23,170)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(170, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([12, 15]))

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

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

chi := DirichletCharacter("170.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 170 = 2 \cdot 5 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	170.r (of order $16$, degree $8$, 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:	$1.35745683436$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$4$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			107.4
Character	$\chi$	$=$	170.107
Dual form			170.2.r.a.143.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.382683 - 0.923880i) q^{2} +(2.60485 + 0.518138i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(-1.21558 + 1.87679i) q^{5} +(1.47553 - 2.20829i) q^{6} +(0.892510 - 1.33574i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(3.74516 + 1.55130i) q^{9} +O(q^{10})$	\(q+(0.382683 - 0.923880i) q^{2} +(2.60485 + 0.518138i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(-1.21558 + 1.87679i) q^{5} +(1.47553 - 2.20829i) q^{6} +(0.892510 - 1.33574i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(3.74516 + 1.55130i) q^{9} +(1.26875 + 1.84127i) q^{10} +(-3.02313 - 2.01999i) q^{11} +(-1.47553 - 2.20829i) q^{12} +3.47326 q^{13} +(-0.892510 - 1.33574i) q^{14} +(-4.13886 + 4.25894i) q^{15} +1.00000i q^{16} +(-4.09466 + 0.483478i) q^{17} +(2.86642 - 2.86642i) q^{18} +(-5.49423 + 2.27578i) q^{19} +(2.18664 - 0.467546i) q^{20} +(3.01695 - 3.01695i) q^{21} +(-3.02313 + 2.01999i) q^{22} +(0.403651 + 2.02929i) q^{23} +(-2.60485 + 0.518138i) q^{24} +(-2.04471 - 4.56280i) q^{25} +(1.32916 - 3.20887i) q^{26} +(2.32695 + 1.55482i) q^{27} +(-1.57561 + 0.313408i) q^{28} +(0.814533 - 4.09494i) q^{29} +(2.35087 + 5.45363i) q^{30} +(4.50895 - 3.01279i) q^{31} +(0.923880 + 0.382683i) q^{32} +(-6.82817 - 6.82817i) q^{33} +(-1.12028 + 3.96799i) q^{34} +(1.42198 + 3.29876i) q^{35} +(-1.55130 - 3.74516i) q^{36} +(-1.08380 + 5.44865i) q^{37} +5.94691i q^{38} +(9.04734 + 1.79963i) q^{39} +(0.404835 - 2.19912i) q^{40} +(2.21131 + 11.1170i) q^{41} +(-1.63276 - 3.94184i) q^{42} +(-2.00438 - 4.83901i) q^{43} +(0.709326 + 3.56602i) q^{44} +(-7.46402 + 5.14317i) q^{45} +(2.02929 + 0.403651i) q^{46} -1.43673i q^{47} +(-0.518138 + 2.60485i) q^{48} +(1.69117 + 4.08284i) q^{49} +(-4.99796 + 0.142959i) q^{50} +(-10.9165 - 0.862208i) q^{51} +(-2.45597 - 2.45597i) q^{52} +(-7.58981 - 3.14380i) q^{53} +(2.32695 - 1.55482i) q^{54} +(7.46597 - 3.21832i) q^{55} +(-0.313408 + 1.57561i) q^{56} +(-15.4908 + 3.08132i) q^{57} +(-3.47152 - 2.31960i) q^{58} +(1.18771 - 2.86738i) q^{59} +(5.93814 - 0.0849082i) q^{60} +(14.2603 - 2.83655i) q^{61} +(-1.05795 - 5.31867i) q^{62} +(5.41472 - 3.61800i) q^{63} +(0.707107 - 0.707107i) q^{64} +(-4.22204 + 6.51859i) q^{65} +(-8.92144 + 3.69538i) q^{66} +(0.280368 - 0.280368i) q^{67} +(3.23723 + 2.55349i) q^{68} +5.49515i q^{69} +(3.59182 - 0.0513587i) q^{70} +(8.39457 + 12.5634i) q^{71} -4.05373 q^{72} +(1.83646 + 2.74845i) q^{73} +(4.61914 + 3.08641i) q^{74} +(-2.96202 - 12.9449i) q^{75} +(5.49423 + 2.27578i) q^{76} +(-5.39634 + 2.23524i) q^{77} +(5.12490 - 7.66996i) q^{78} +(8.99386 - 13.4603i) q^{79} +(-1.87679 - 1.21558i) q^{80} +(-3.34351 - 3.34351i) q^{81} +(11.1170 + 2.21131i) q^{82} +(2.41176 - 5.82251i) q^{83} -4.26662 q^{84} +(4.07002 - 8.27254i) q^{85} -5.23770 q^{86} +(4.24348 - 10.2447i) q^{87} +(3.56602 + 0.709326i) q^{88} +(3.47194 + 3.47194i) q^{89} +(1.89531 + 8.86406i) q^{90} +(3.09992 - 4.63936i) q^{91} +(1.14950 - 1.72035i) q^{92} +(13.3062 - 5.51161i) q^{93} +(-1.32737 - 0.549814i) q^{94} +(2.40752 - 13.0779i) q^{95} +(2.20829 + 1.47553i) q^{96} +(-1.11708 - 1.67183i) q^{97} +4.41923 q^{98} +(-8.18850 - 12.2550i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q+O(q^{10}) $ 32 * q	$ 32 q - 8 q^{10} - 48 q^{15} + 16 q^{18} - 24 q^{25} + 8 q^{26} + 24 q^{27} - 8 q^{28} - 8 q^{29} - 16 q^{30} - 16 q^{31} + 64 q^{33} + 24 q^{34} + 32 q^{35} - 32 q^{37} - 32 q^{39} + 16 q^{41} - 24 q^{42} - 16 q^{43} - 16 q^{44} - 24 q^{45} - 16 q^{49} - 32 q^{50} + 32 q^{51} - 16 q^{52} + 16 q^{53} + 24 q^{54} - 8 q^{55} + 8 q^{56} - 24 q^{57} - 16 q^{58} - 64 q^{59} + 40 q^{60} - 24 q^{61} - 40 q^{62} - 24 q^{63} + 32 q^{65} + 16 q^{67} + 40 q^{70} + 8 q^{71} - 16 q^{72} + 32 q^{73} + 8 q^{74} - 56 q^{75} + 24 q^{77} + 32 q^{78} + 72 q^{79} + 8 q^{80} + 48 q^{81} + 48 q^{82} + 16 q^{83} + 8 q^{85} - 64 q^{86} + 40 q^{87} + 32 q^{88} + 16 q^{89} + 24 q^{90} + 48 q^{91} + 24 q^{92} - 8 q^{93} + 8 q^{94} + 56 q^{95} - 48 q^{97} - 64 q^{99}+O(q^{100}) $ 32 * q - 8 * q^10 - 48 * q^15 + 16 * q^18 - 24 * q^25 + 8 * q^26 + 24 * q^27 - 8 * q^28 - 8 * q^29 - 16 * q^30 - 16 * q^31 + 64 * q^33 + 24 * q^34 + 32 * q^35 - 32 * q^37 - 32 * q^39 + 16 * q^41 - 24 * q^42 - 16 * q^43 - 16 * q^44 - 24 * q^45 - 16 * q^49 - 32 * q^50 + 32 * q^51 - 16 * q^52 + 16 * q^53 + 24 * q^54 - 8 * q^55 + 8 * q^56 - 24 * q^57 - 16 * q^58 - 64 * q^59 + 40 * q^60 - 24 * q^61 - 40 * q^62 - 24 * q^63 + 32 * q^65 + 16 * q^67 + 40 * q^70 + 8 * q^71 - 16 * q^72 + 32 * q^73 + 8 * q^74 - 56 * q^75 + 24 * q^77 + 32 * q^78 + 72 * q^79 + 8 * q^80 + 48 * q^81 + 48 * q^82 + 16 * q^83 + 8 * q^85 - 64 * q^86 + 40 * q^87 + 32 * q^88 + 16 * q^89 + 24 * q^90 + 48 * q^91 + 24 * q^92 - 8 * q^93 + 8 * q^94 + 56 * q^95 - 48 * q^97 - 64 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/170\mathbb{Z}\right)^\times$.

$n$	$71$	$137$
$\chi(n)$	$e\left(\frac{5}{16}\right)$	$e\left(\frac{1}{4}\right)$

Coefficient data

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

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

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

$2$	0.382683	−	0.923880i	0.270598	−	0.653281i
$2$	0.382683	−	0.923880i	0.270598	−	0.653281i
$3$	2.60485	+	0.518138i	1.50391	+	0.299147i	0.877209	−	0.480110i	$-0.159403\pi$
$3$	2.60485	+	0.518138i	1.50391	+	0.299147i	0.626705	+	0.779257i	$0.284403\pi$
$4$	−0.707107	−	0.707107i	−0.353553	−	0.353553i
$5$	−1.21558	+	1.87679i	−0.543626	+	0.839328i
$5$	−1.21558	+	1.87679i	−0.543626	+	0.839328i
$6$	1.47553	−	2.20829i	0.602383	−	0.901530i
$7$	0.892510	−	1.33574i	0.337337	−	0.504861i	−0.623557	−	0.781778i	$-0.714313\pi$
$7$	0.892510	−	1.33574i	0.337337	−	0.504861i	0.960894	+	0.276918i	$0.0893129\pi$
$8$	−0.923880	+	0.382683i	−0.326641	+	0.135299i
$9$	3.74516	+	1.55130i	1.24839	+	0.517099i
$10$	1.26875	+	1.84127i	0.401213	+	0.582261i
$11$	−3.02313	−	2.01999i	−0.911507	−	0.609050i	0.00892150	−	0.999960i	$-0.497160\pi$
$11$	−3.02313	−	2.01999i	−0.911507	−	0.609050i	−0.920429	+	0.390911i	$0.872160\pi$
$12$	−1.47553	−	2.20829i	−0.425949	−	0.637478i
$13$	3.47326			0.963309			0.481654	−	0.876361i	$-0.340036\pi$
$13$	3.47326			0.963309			0.481654	+	0.876361i	$0.340036\pi$
$14$	−0.892510	−	1.33574i	−0.238533	−	0.356990i
$15$	−4.13886	+	4.25894i	−1.06865	+	1.09965i
$16$			1.00000i			0.250000i
$17$	−4.09466	+	0.483478i	−0.993101	+	0.117261i
$17$	−4.09466	+	0.483478i	−0.993101	+	0.117261i
$18$	2.86642	−	2.86642i	0.675622	−	0.675622i
$19$	−5.49423	+	2.27578i	−1.26046	+	0.522101i	−0.910051	−	0.414495i	$-0.863958\pi$
$19$	−5.49423	+	2.27578i	−1.26046	+	0.522101i	−0.350411	+	0.936596i	$0.613958\pi$
$20$	2.18664	−	0.467546i	0.488948	−	0.104546i
$21$	3.01695	−	3.01695i	0.658354	−	0.658354i
$22$	−3.02313	+	2.01999i	−0.644533	+	0.430663i
$23$	0.403651	+	2.02929i	0.0841671	+	0.423136i	0.999778	+	0.0210709i	$0.00670758\pi$
$23$	0.403651	+	2.02929i	0.0841671	+	0.423136i	−0.915611	+	0.402065i	$0.868292\pi$
$24$	−2.60485	+	0.518138i	−0.531714	+	0.105764i
$25$	−2.04471	−	4.56280i	−0.408942	−	0.912560i
$26$	1.32916	−	3.20887i	0.260670	−	0.629312i
$27$	2.32695	+	1.55482i	0.447822	+	0.299225i
$28$	−1.57561	+	0.313408i	−0.297762	+	0.0592285i
$29$	0.814533	−	4.09494i	0.151255	−	0.760411i	−0.828465	−	0.560041i	$-0.810786\pi$
$29$	0.814533	−	4.09494i	0.151255	−	0.760411i	0.979720	−	0.200370i	$-0.0642144\pi$
$30$	2.35087	+	5.45363i	0.429208	+	0.995692i
$31$	4.50895	−	3.01279i	0.809832	−	0.541112i	−0.0803237	−	0.996769i	$-0.525595\pi$
$31$	4.50895	−	3.01279i	0.809832	−	0.541112i	0.890156	+	0.455656i	$0.150595\pi$
$32$	0.923880	+	0.382683i	0.163320	+	0.0676495i
$33$	−6.82817	−	6.82817i	−1.18863	−	1.18863i
$34$	−1.12028	+	3.96799i	−0.192127	+	0.680505i
$35$	1.42198	+	3.29876i	0.240359	+	0.557592i
$36$	−1.55130	−	3.74516i	−0.258549	−	0.624194i
$37$	−1.08380	+	5.44865i	−0.178176	+	0.895753i	0.783464	+	0.621438i	$0.213451\pi$
$37$	−1.08380	+	5.44865i	−0.178176	+	0.895753i	−0.961640	+	0.274315i	$0.911549\pi$
$38$			5.94691i			0.964716i
$39$	9.04734	+	1.79963i	1.44873	+	0.288171i
$40$	0.404835	−	2.19912i	0.0640101	−	0.347711i
$41$	2.21131	+	11.1170i	0.345349	+	1.73619i	0.629131	+	0.777299i	$0.283411\pi$
$41$	2.21131	+	11.1170i	0.345349	+	1.73619i	−0.283782	+	0.958889i	$0.591589\pi$
$42$	−1.63276	−	3.94184i	−0.251941	−	0.608239i
$43$	−2.00438	−	4.83901i	−0.305665	−	0.737941i	−0.999836	−	0.0181306i	$-0.994229\pi$
$43$	−2.00438	−	4.83901i	−0.305665	−	0.737941i	0.694170	−	0.719811i	$-0.255771\pi$
$44$	0.709326	+	3.56602i	0.106935	+	0.537598i
$45$	−7.46402	+	5.14317i	−1.11267	+	0.766698i
$46$	2.02929	+	0.403651i	0.299203	+	0.0595151i
$47$		−	1.43673i		−	0.209569i	−0.994495	−	0.104785i	$-0.966585\pi$
$47$		−	1.43673i		−	0.209569i	0.994495	−	0.104785i	$-0.0334153\pi$
$48$	−0.518138	+	2.60485i	−0.0747867	+	0.375978i
$49$	1.69117	+	4.08284i	0.241595	+	0.583263i
$50$	−4.99796	+	0.142959i	−0.706818	+	0.0202174i
$51$	−10.9165	−	0.862208i	−1.52862	−	0.120733i
$52$	−2.45597	−	2.45597i	−0.340581	−	0.340581i
$53$	−7.58981	−	3.14380i	−1.04254	−	0.431834i	−0.205317	−	0.978696i	$-0.565823\pi$
$53$	−7.58981	−	3.14380i	−1.04254	−	0.431834i	−0.837223	+	0.546861i	$0.815823\pi$
$54$	2.32695	−	1.55482i	0.316658	−	0.211584i
$55$	7.46597	−	3.21832i	1.00671	−	0.433958i
$56$	−0.313408	+	1.57561i	−0.0418809	+	0.210549i
$57$	−15.4908	+	3.08132i	−2.05181	+	0.408131i
$58$	−3.47152	−	2.31960i	−0.455833	−	0.304578i
$59$	1.18771	−	2.86738i	0.154627	−	0.373302i	−0.827515	−	0.561443i	$-0.810246\pi$
$59$	1.18771	−	2.86738i	0.154627	−	0.373302i	0.982142	+	0.188141i	$0.0602463\pi$
$60$	5.93814	−	0.0849082i	0.766610	−	0.0109616i
$61$	14.2603	−	2.83655i	1.82585	−	0.363183i	0.841615	−	0.540077i	$-0.181605\pi$
$61$	14.2603	−	2.83655i	1.82585	−	0.363183i	0.984230	+	0.176894i	$0.0566051\pi$
$62$	−1.05795	−	5.31867i	−0.134360	−	0.675472i
$63$	5.41472	−	3.61800i	0.682190	−	0.455825i
$64$	0.707107	−	0.707107i	0.0883883	−	0.0883883i
$65$	−4.22204	+	6.51859i	−0.523679	+	0.808532i
$66$	−8.92144	+	3.69538i	−1.09815	+	0.454870i
$67$	0.280368	−	0.280368i	0.0342524	−	0.0342524i	−0.689773	−	0.724026i	$-0.742290\pi$
$67$	0.280368	−	0.280368i	0.0342524	−	0.0342524i	0.724026	+	0.689773i	$0.242290\pi$
$68$	3.23723	+	2.55349i	0.392572	+	0.309656i
$69$			5.49515i			0.661539i
$70$	3.59182	−	0.0513587i	0.429305	−	0.00613854i
$71$	8.39457	+	12.5634i	0.996252	+	1.49100i	0.866329	+	0.499473i	$0.166473\pi$
$71$	8.39457	+	12.5634i	0.996252	+	1.49100i	0.129923	+	0.991524i	$0.458527\pi$
$72$	−4.05373			−0.477737
$73$	1.83646	+	2.74845i	0.214941	+	0.321682i	0.923235	−	0.384235i	$-0.125535\pi$
$73$	1.83646	+	2.74845i	0.214941	+	0.321682i	−0.708294	+	0.705918i	$0.750535\pi$
$74$	4.61914	+	3.08641i	0.536965	+	0.358788i
$75$	−2.96202	−	12.9449i	−0.342024	−	1.49475i
$76$	5.49423	+	2.27578i	0.630231	+	0.261050i
$77$	−5.39634	+	2.23524i	−0.614970	+	0.254729i
$78$	5.12490	−	7.66996i	0.580281	−	0.868452i
$79$	8.99386	−	13.4603i	1.01189	−	1.51440i	0.162446	−	0.986717i	$-0.448062\pi$
$79$	8.99386	−	13.4603i	1.01189	−	1.51440i	0.849443	−	0.527681i	$-0.176938\pi$
$80$	−1.87679	−	1.21558i	−0.209832	−	0.135906i
$81$	−3.34351	−	3.34351i	−0.371501	−	0.371501i
$82$	11.1170	+	2.21131i	1.22767	+	0.244199i
$83$	2.41176	−	5.82251i	0.264725	−	0.639104i	−0.734494	−	0.678616i	$-0.762580\pi$
$83$	2.41176	−	5.82251i	0.264725	−	0.639104i	0.999219	+	0.0395117i	$0.0125802\pi$
$84$	−4.26662			−0.465526
$85$	4.07002	−	8.27254i	0.441455	−	0.897283i
$86$	−5.23770			−0.564796
$87$	4.24348	−	10.2447i	0.454949	−	1.09834i
$88$	3.56602	+	0.709326i	0.380139	+	0.0756144i
$89$	3.47194	+	3.47194i	0.368025	+	0.368025i	0.866756	−	0.498732i	$-0.166201\pi$
$89$	3.47194	+	3.47194i	0.368025	+	0.368025i	−0.498732	+	0.866756i	$0.666201\pi$
$90$	1.89531	+	8.86406i	0.199783	+	0.934354i
$91$	3.09992	−	4.63936i	0.324960	−	0.486337i
$92$	1.14950	−	1.72035i	0.119844	−	0.179359i
$93$	13.3062	−	5.51161i	1.37979	−	0.571528i
$94$	−1.32737	−	0.549814i	−0.136908	−	0.0567090i
$95$	2.40752	−	13.0779i	0.247006	−	1.34177i
$96$	2.20829	+	1.47553i	0.225383	+	0.150596i
$97$	−1.11708	−	1.67183i	−0.113423	−	0.169749i	0.770415	−	0.637543i	$-0.220049\pi$
$97$	−1.11708	−	1.67183i	−0.113423	−	0.169749i	−0.883838	+	0.467794i	$0.845049\pi$
$98$	4.41923			0.446410
$99$	−8.18850	−	12.2550i	−0.822975	−	1.23167i
$100$	−1.78056	+	4.67222i	−0.178056	+	0.467222i
$101$		−	9.43783i		−	0.939099i	−0.882906	−	0.469550i	$-0.844416\pi$
$101$		−	9.43783i		−	0.939099i	0.882906	−	0.469550i	$-0.155584\pi$
$102$	−4.97414	+	9.75558i	−0.492513	+	0.965947i
$103$	−4.20253	+	4.20253i	−0.414087	+	0.414087i	−0.883160	−	0.469073i	$-0.844588\pi$
$103$	−4.20253	+	4.20253i	−0.414087	+	0.414087i	0.469073	+	0.883160i	$0.344588\pi$
$104$	−3.20887	+	1.32916i	−0.314656	+	0.130335i
$105$	1.99484	+	9.32956i	0.194677	+	0.910472i
$106$	−5.80899	+	5.80899i	−0.564219	+	0.564219i
$107$	11.2966	−	7.54818i	1.09209	−	0.729710i	0.127070	−	0.991894i	$-0.459443\pi$
$107$	11.2966	−	7.54818i	1.09209	−	0.729710i	0.965018	+	0.262184i	$0.0844427\pi$
$108$	−0.545980	−	2.74482i	−0.0525369	−	0.264121i
$109$	−9.32519	+	1.85490i	−0.893191	+	0.177667i	−0.620287	−	0.784375i	$-0.712984\pi$
$109$	−9.32519	+	1.85490i	−0.893191	+	0.177667i	−0.272904	+	0.962041i	$0.587984\pi$
$110$	−0.116239	−	8.12925i	−0.0110829	−	0.775094i
$111$	−5.64631	+	13.6314i	−0.535924	+	1.29383i
$112$	1.33574	+	0.892510i	0.126215	+	0.0843343i
$113$	−19.5593	+	3.89058i	−1.83998	+	0.365995i	−0.987609	−	0.156937i	$-0.949838\pi$
$113$	−19.5593	+	3.89058i	−1.83998	+	0.365995i	−0.852374	+	0.522932i	$0.824838\pi$
$114$	−3.08132	+	15.4908i	−0.288592	+	1.45085i
$115$	−4.29923	−	1.70920i	−0.400906	−	0.159384i
$116$	−3.47152	+	2.31960i	−0.322322	+	0.215369i
$117$	13.0079	+	5.38806i	1.20258	+	0.498126i
$118$	−2.19460	−	2.19460i	−0.202029	−	0.202029i
$119$	−3.00873	+	5.90090i	−0.275810	+	0.540934i
$120$	2.19398	−	5.51862i	0.200282	−	0.503778i
$121$	0.849425	+	2.05069i	0.0772204	+	0.186427i
$122$	2.83655	−	14.2603i	0.256809	−	1.29107i
$123$			30.1040i			2.71439i
$124$	−5.31867	−	1.05795i	−0.477631	−	0.0950067i
$125$	11.0490	+	1.70897i	0.988249	+	0.152855i
$126$	−1.27047	−	6.38710i	−0.113183	−	0.569008i
$127$	2.75822	+	6.65893i	0.244752	+	0.590885i	0.997743	−	0.0671465i	$-0.0213895\pi$
$127$	2.75822	+	6.65893i	0.244752	+	0.590885i	−0.752991	+	0.658031i	$0.771389\pi$
$128$	−0.382683	−	0.923880i	−0.0338248	−	0.0816602i
$129$	−2.71385	−	13.6435i	−0.238941	−	1.20124i
$130$	4.40669	+	6.39521i	0.386492	+	0.560897i
$131$	−6.51122	−	1.29516i	−0.568888	−	0.113159i	−0.0977383	−	0.995212i	$-0.531161\pi$
$131$	−6.51122	−	1.29516i	−0.568888	−	0.113159i	−0.471150	+	0.882053i	$0.656161\pi$
$132$			9.65650i			0.840490i
$133$	−1.86381	+	9.37000i	−0.161613	+	0.812482i
$134$	−0.151734	−	0.366318i	−0.0131078	−	0.0316451i
$135$	−5.74668	+	2.47719i	−0.494595	+	0.213203i
$136$	3.59795	−	2.01363i	0.308522	−	0.172668i
$137$	5.32839	+	5.32839i	0.455235	+	0.455235i	0.897088	−	0.441852i	$-0.145679\pi$
$137$	5.32839	+	5.32839i	0.455235	+	0.455235i	−0.441852	+	0.897088i	$0.645679\pi$
$138$	5.07686	+	2.10290i	0.432171	+	0.179011i
$139$	15.6578	−	10.4622i	1.32808	−	0.887393i	0.329686	−	0.944091i	$-0.393057\pi$
$139$	15.6578	−	10.4622i	1.32808	−	0.887393i	0.998391	+	0.0566979i	$0.0180572\pi$
$140$	1.32708	−	3.33807i	0.112159	−	0.282118i
$141$	0.744426	−	3.74248i	0.0626920	−	0.315174i
$142$	14.8195	−	2.94778i	1.24362	−	0.247372i
$143$	−10.5001	−	7.01595i	−0.878063	−	0.586703i
$144$	−1.55130	+	3.74516i	−0.129275	+	0.312097i
$145$	6.69522	+	6.50645i	0.556008	+	0.540331i
$146$	3.24202	−	0.644878i	0.268312	−	0.0533705i
$147$	2.28977	+	11.5115i	0.188857	+	0.949450i
$148$	4.61914	−	3.08641i	0.379691	−	0.253702i
$149$	−12.9817	+	12.9817i	−1.06350	+	1.06350i	−0.0656569	+	0.997842i	$0.520914\pi$
$149$	−12.9817	+	12.9817i	−1.06350	+	1.06350i	−0.997842	+	0.0656569i	$0.979086\pi$
$150$	−13.0930	−	2.21724i	−1.06904	−	0.181037i
$151$	−0.378610	+	0.156826i	−0.0308109	+	0.0127623i	−0.398036	−	0.917370i	$-0.630308\pi$
$151$	−0.378610	+	0.156826i	−0.0308109	+	0.0127623i	0.367225	+	0.930132i	$0.380308\pi$
$152$	4.20510	−	4.20510i	0.341079	−	0.341079i
$153$	−16.0852	−	4.54133i	−1.30041	−	0.367145i
$154$			5.84096i			0.470678i
$155$	0.173368	+	12.1247i	0.0139253	+	0.973877i
$156$	−5.12490	−	7.66996i	−0.410321	−	0.614088i
$157$	−15.7933			−1.26044			−0.630220	−	0.776417i	$-0.717035\pi$
$157$	−15.7933			−1.26044			−0.630220	+	0.776417i	$0.717035\pi$
$158$	−8.99386	−	13.4603i	−0.715513	−	1.07084i
$159$	−18.1414	−	12.1217i	−1.43871	−	0.961314i
$160$	−1.84127	+	1.26875i	−0.145565	+	0.100303i
$161$	3.07086	+	1.27199i	0.242018	+	0.100247i
$162$	−4.36851	+	1.80950i	−0.343223	+	0.142167i
$163$	−4.78707	+	7.16436i	−0.374952	+	0.561156i	−0.970175	−	0.242405i	$-0.922064\pi$
$163$	−4.78707	+	7.16436i	−0.374952	+	0.561156i	0.595223	+	0.803561i	$0.297064\pi$
$164$	6.29729	−	9.42456i	0.491736	−	0.735934i
$165$	21.1153	−	4.51486i	1.64382	−	0.351481i
$166$	−4.45636	−	4.45636i	−0.345881	−	0.345881i
$167$	8.96036	+	1.78233i	0.693373	+	0.137921i	0.529182	−	0.848508i	$-0.322499\pi$
$167$	8.96036	+	1.78233i	0.693373	+	0.137921i	0.164191	+	0.986429i	$0.447499\pi$
$168$	−1.63276	+	3.94184i	−0.125970	+	0.304120i
$169$	−0.936468			−0.0720360
$170$	−6.08531	−	6.92597i	−0.466722	−	0.531198i
$171$	−24.1072			−1.84352
$172$	−2.00438	+	4.83901i	−0.152833	+	0.368971i
$173$	3.13185	+	0.622963i	0.238110	+	0.0473630i	0.312703	−	0.949851i	$-0.398766\pi$
$173$	3.13185	+	0.622963i	0.238110	+	0.0473630i	−0.0745927	+	0.997214i	$0.523766\pi$
$174$	−7.84093	−	7.84093i	−0.594420	−	0.594420i
$175$	−7.91962	−	1.34115i	−0.598667	−	0.101382i
$176$	2.01999	−	3.02313i	0.152262	−	0.227877i
$177$	4.57951	−	6.85372i	0.344217	−	0.515157i
$178$	4.53631	−	1.87900i	0.340010	−	0.140837i
$179$	−7.13628	−	2.95594i	−0.533390	−	0.220938i	0.0996970	−	0.995018i	$-0.468213\pi$
$179$	−7.13628	−	2.95594i	−0.533390	−	0.220938i	−0.633087	+	0.774080i	$0.718213\pi$
$180$	8.91463	+	1.64109i	0.664457	+	0.122320i
$181$	13.5482	+	9.05259i	1.00703	+	0.672874i	0.945632	−	0.325240i	$-0.105445\pi$
$181$	13.5482	+	9.05259i	1.00703	+	0.672874i	0.0613952	+	0.998114i	$0.480445\pi$
$182$	−3.09992	−	4.63936i	−0.229781	−	0.343892i
$183$	38.6157			2.85456
$184$	−1.14950	−	1.72035i	−0.0847423	−	0.126826i
$185$	−8.90854	−	8.65737i	−0.654969	−	0.636503i
$186$		−	14.4025i		−	1.05605i
$187$	13.3553	+	6.80955i	0.976636	+	0.497964i
$188$	−1.01592	+	1.01592i	−0.0740939	+	0.0740939i
$189$	4.15365	−	1.72050i	0.302134	−	0.125148i
$190$	−11.1611	−	7.22897i	−0.809713	−	0.524444i
$191$	1.57174	−	1.57174i	0.113727	−	0.113727i	−0.647953	−	0.761680i	$-0.724375\pi$
$191$	1.57174	−	1.57174i	0.113727	−	0.113727i	0.761680	+	0.647953i	$0.224375\pi$
$192$	2.20829	−	1.47553i	0.159370	−	0.106487i
$193$	1.33763	+	6.72471i	0.0962845	+	0.484055i	0.998596	+	0.0529705i	$0.0168689\pi$
$193$	1.33763	+	6.72471i	0.0962845	+	0.484055i	−0.902312	+	0.431084i	$0.858131\pi$
$194$	−1.97206	+	0.392268i	−0.141586	+	0.0281632i
$195$	−14.3753	+	14.7924i	−1.02944	+	1.05930i
$196$	1.69117	−	4.08284i	0.120798	−	0.291631i
$197$	−9.72440	−	6.49763i	−0.692835	−	0.462937i	0.158638	−	0.987337i	$-0.449290\pi$
$197$	−9.72440	−	6.49763i	−0.692835	−	0.462937i	−0.851472	+	0.524400i	$0.824290\pi$
$198$	−14.4557	+	2.87542i	−1.02732	+	0.204347i
$199$	−2.74607	+	13.8054i	−0.194663	+	0.978639i	0.752672	+	0.658396i	$0.228765\pi$
$199$	−2.74607	+	13.8054i	−0.194663	+	0.978639i	−0.947335	+	0.320243i	$0.896235\pi$
$200$	3.63518	+	3.43300i	0.257046	+	0.242750i
$201$	0.875587	−	0.585048i	0.0617591	−	0.0412661i
$202$	−8.71942	−	3.61170i	−0.613496	−	0.254118i
$203$	−4.74277	−	4.74277i	−0.332877	−	0.332877i
$204$	7.10946	+	8.32881i	0.497762	+	0.583133i
$205$	−23.5524	−	9.36350i	−1.64497	−	0.653975i
$206$	2.27439	+	5.49086i	0.158464	+	0.382567i
$207$	−1.63629	+	8.22621i	−0.113730	+	0.571761i
$208$			3.47326i			0.240827i
$209$	21.2068	+	4.21830i	1.46691	+	0.291786i
$210$	9.38279	+	1.72728i	0.647474	+	0.119193i
$211$	−1.20610	−	6.06350i	−0.0830317	−	0.417428i	−0.999836	−	0.0180924i	$-0.994241\pi$
$211$	−1.20610	−	6.06350i	−0.0830317	−	0.417428i	0.916805	−	0.399336i	$-0.130759\pi$
$212$	3.14380	+	7.58981i	0.215917	+	0.521270i
$213$	15.3571	+	37.0753i	1.05225	+	2.54036i
$214$	−2.65057	−	13.3253i	−0.181189	−	0.910899i
$215$	11.5183	+	2.12041i	0.785542	+	0.144610i
$216$	−2.74482	−	0.545980i	−0.186762	−	0.0371492i
$217$		−	8.71172i		−	0.591390i
$218$	−1.85490	+	9.32519i	−0.125629	+	0.631582i
$219$	3.35963	+	8.11086i	0.227023	+	0.548081i
$220$	−7.55493	−	3.00354i	−0.509353	−	0.202499i
$221$	−14.2218	+	1.67925i	−0.956663	+	0.112958i
$222$	10.4330	+	10.4330i	0.700218	+	0.700218i
$223$	−10.1681	−	4.21177i	−0.680907	−	0.282041i	0.0152988	−	0.999883i	$-0.495130\pi$
$223$	−10.1681	−	4.21177i	−0.680907	−	0.282041i	−0.696206	+	0.717842i	$0.745130\pi$
$224$	1.33574	−	0.892510i	0.0892476	−	0.0596333i
$225$	−0.579517	−	20.2604i	−0.0386344	−	1.35069i
$226$	−3.89058	+	19.5593i	−0.258798	+	1.30106i
$227$	−4.34697	+	0.864666i	−0.288519	+	0.0573899i	−0.337228	−	0.941423i	$-0.609489\pi$
$227$	−4.34697	+	0.864666i	−0.288519	+	0.0573899i	0.0487092	+	0.998813i	$0.484489\pi$
$228$	13.1325	+	8.77485i	0.869721	+	0.581129i
$229$	0.0300817	−	0.0726235i	0.00198785	−	0.00479910i	−0.922882	−	0.385082i	$-0.874173\pi$
$229$	0.0300817	−	0.0726235i	0.00198785	−	0.00479910i	0.924870	+	0.380283i	$0.124173\pi$
$230$	−3.22434	+	3.31789i	−0.212607	+	0.218775i
$231$	−15.2149	+	3.02642i	−1.00106	+	0.199124i
$232$	0.814533	+	4.09494i	0.0534767	+	0.268846i
$233$	6.64063	−	4.43713i	0.435042	−	0.290686i	−0.318701	−	0.947855i	$-0.603246\pi$
$233$	6.64063	−	4.43713i	0.435042	−	0.290686i	0.753743	+	0.657170i	$0.228246\pi$
$234$	9.95583	−	9.95583i	0.650833	−	0.650833i
$235$	2.69645	+	1.74647i	0.175897	+	0.113927i
$236$	−2.86738	+	1.18771i	−0.186651	+	0.0773133i
$237$	30.4020	−	30.4020i	1.97482	−	1.97482i
$238$	4.30033	+	5.03788i	0.278749	+	0.326557i
$239$			0.721014i			0.0466385i	0.999728	+	0.0233193i	$0.00742342\pi$
$239$			0.721014i			0.0466385i	−0.999728	+	0.0233193i	$0.992577\pi$
$240$	−4.25894	−	4.13886i	−0.274913	−	0.267162i
$241$	−6.85427	−	10.2581i	−0.441522	−	0.660785i	0.542248	−	0.840219i	$-0.317573\pi$
$241$	−6.85427	−	10.2581i	−0.441522	−	0.660785i	−0.983770	+	0.179434i	$0.942573\pi$
$242$	2.21965			0.142685
$243$	−11.6414	−	17.4226i	−0.746797	−	1.11766i
$244$	−12.0893	−	8.07781i	−0.773938	−	0.517129i
$245$	−9.71841	−	1.78906i	−0.620886	−	0.114299i
$246$	27.8125	+	11.5203i	1.77326	+	0.734508i
$247$	−19.0829	+	7.90439i	−1.21421	+	0.502944i
$248$	−3.01279	+	4.50895i	−0.191312	+	0.286319i
$249$	9.29916	−	13.9172i	0.589310	−	0.881965i
$250$	5.80713	−	9.55391i	0.367275	−	0.604242i
$251$	9.36064	+	9.36064i	0.590838	+	0.590838i	0.937858	−	0.347020i	$-0.112806\pi$
$251$	9.36064	+	9.36064i	0.590838	+	0.590838i	−0.347020	+	0.937858i	$0.612806\pi$
$252$	−6.38710	−	1.27047i	−0.402349	−	0.0800322i
$253$	2.87886	−	6.95018i	0.180992	−	0.436954i
$254$	7.20758			0.452244
$255$	14.8881	−	19.4399i	0.932330	−	1.21738i
$256$	−1.00000			−0.0625000
$257$	−1.72299	+	4.15967i	−0.107477	+	0.259473i	−0.968464	−	0.249155i	$-0.919847\pi$
$257$	−1.72299	+	4.15967i	−0.107477	+	0.259473i	0.860986	+	0.508628i	$0.169847\pi$
$258$	−13.6435	−	2.71385i	−0.849404	−	0.168957i
$259$	6.31065	+	6.31065i	0.392125	+	0.392125i
$260$	7.59477	−	1.62391i	0.471008	−	0.100711i
$261$	9.40302	−	14.0726i	0.582032	−	0.871073i
$262$	−3.68831	+	5.51995i	−0.227865	+	0.341023i
$263$	3.72618	−	1.54344i	0.229766	−	0.0951724i	−0.264830	−	0.964295i	$-0.585316\pi$
$263$	3.72618	−	1.54344i	0.229766	−	0.0951724i	0.494596	+	0.869123i	$0.335316\pi$
$264$	8.92144	+	3.69538i	0.549077	+	0.227435i
$265$	15.1263	−	10.4230i	0.929202	−	0.640277i
$266$	7.94350	+	5.30768i	0.487047	+	0.325435i
$267$	7.24495	+	10.8428i	0.443384	+	0.663571i
$268$	−0.396500			−0.0242201
$269$	5.06374	+	7.57842i	0.308741	+	0.462064i	0.953098	−	0.302661i	$-0.0978749\pi$
$269$	5.06374	+	7.57842i	0.308741	+	0.462064i	−0.644357	+	0.764725i	$0.722875\pi$
$270$	0.0894707	+	6.25722i	0.00544501	+	0.380802i
$271$			16.0423i			0.974499i	0.873263	+	0.487249i	$0.162000\pi$
$271$			16.0423i			0.974499i	−0.873263	+	0.487249i	$0.838000\pi$
$272$	−0.483478	−	4.09466i	−0.0293152	−	0.248275i
$273$	10.4787	−	10.4787i	0.634198	−	0.634198i
$274$	6.96188	−	2.88371i	0.420583	−	0.174211i
$275$	−3.03539	+	17.9242i	−0.183041	+	1.08087i
$276$	3.88566	−	3.88566i	0.233889	−	0.233889i
$277$	−18.8874	+	12.6202i	−1.13483	+	0.758272i	−0.973514	−	0.228629i	$-0.926576\pi$
$277$	−18.8874	+	12.6202i	−1.13483	+	0.758272i	−0.161321	+	0.986902i	$0.551576\pi$
$278$	−3.67384	−	18.4696i	−0.220342	−	1.10773i
$279$	21.5605	−	4.28865i	1.29079	−	0.256755i
$280$	−2.57612	−	2.50349i	−0.153953	−	0.149612i
$281$	−3.11925	+	7.53054i	−0.186079	+	0.449235i	−0.989198	−	0.146584i	$-0.953172\pi$
$281$	−3.11925	+	7.53054i	−0.186079	+	0.449235i	0.803119	+	0.595818i	$0.203172\pi$
$282$	−3.17272	−	2.11995i	−0.188933	−	0.126241i
$283$	−18.2612	+	3.63237i	−1.08551	+	0.215922i	−0.705252	−	0.708957i	$-0.749166\pi$
$283$	−18.2612	+	3.63237i	−1.08551	+	0.215922i	−0.380261	+	0.924879i	$0.624166\pi$
$284$	2.94778	−	14.8195i	0.174919	−	0.879375i
$285$	13.0474	−	32.8187i	0.772862	−	1.94401i
$286$	−10.5001	+	7.01595i	−0.620884	+	0.414862i
$287$	16.8230	+	6.96833i	0.993032	+	0.411327i
$288$	2.86642	+	2.86642i	0.168906	+	0.168906i
$289$	16.5325	−	3.95936i	0.972500	−	0.232903i
$290$	8.57333	−	3.69566i	0.503443	−	0.217017i
$291$	−2.04360	−	4.93369i	−0.119798	−	0.289218i
$292$	0.644878	−	3.24202i	0.0377387	−	0.189725i
$293$		−	19.8193i		−	1.15786i	−0.815378	−	0.578929i	$-0.803471\pi$
$293$		−	19.8193i		−	1.15786i	0.815378	−	0.578929i	$-0.196529\pi$
$294$	11.5115	+	2.28977i	0.671362	+	0.133542i
$295$	3.93773	+	5.71463i	0.229263	+	0.332719i
$296$	−1.08380	−	5.44865i	−0.0629948	−	0.316696i
$297$	−3.89395	−	9.40083i	−0.225950	−	0.545491i
$298$	7.02562	+	16.9614i	0.406984	+	0.982545i
$299$	1.40198	+	7.04825i	0.0810789	+	0.407611i
$300$	−7.05895	+	11.2479i	−0.407549	+	0.649396i
$301$	−8.25256	−	1.64154i	−0.475670	−	0.0946166i
$302$			0.409805i			0.0235816i
$303$	4.89010	−	24.5842i	0.280929	−	1.41232i
$304$	−2.27578	−	5.49423i	−0.130525	−	0.315116i
$305$	−12.0110	+	30.2117i	−0.687747	+	1.72992i
$306$	−10.3512	+	13.1229i	−0.591737	+	0.750185i
$307$	−7.70417	−	7.70417i	−0.439700	−	0.439700i	0.452211	−	0.891911i	$-0.350635\pi$
$307$	−7.70417	−	7.70417i	−0.439700	−	0.439700i	−0.891911	+	0.452211i	$0.850635\pi$
$308$	5.39634	+	2.23524i	0.307485	+	0.127365i
$309$	−13.1245	+	8.76948i	−0.746624	+	0.498878i
$310$	11.2681	+	4.47974i	0.639984	+	0.254432i
$311$	2.13288	−	10.7227i	0.120944	−	0.608029i	−0.872006	−	0.489496i	$-0.837181\pi$
$311$	2.13288	−	10.7227i	0.120944	−	0.608029i	0.992950	−	0.118533i	$-0.0378191\pi$
$312$	−9.04734	+	1.79963i	−0.512205	+	0.101884i
$313$	4.81431	+	3.21682i	0.272121	+	0.181825i	0.684142	−	0.729349i	$-0.260177\pi$
$313$	4.81431	+	3.21682i	0.272121	+	0.181825i	−0.412021	+	0.911174i	$0.635177\pi$
$314$	−6.04382	+	14.5911i	−0.341073	+	0.823422i
$315$	0.208195	+	14.5603i	0.0117304	+	0.820380i
$316$	−15.8775	+	3.15822i	−0.893177	+	0.177664i
$317$	0.0223341	+	0.112281i	0.00125441	+	0.00630633i	0.981407	−	0.191936i	$-0.0614767\pi$
$317$	0.0223341	+	0.112281i	0.00125441	+	0.00630633i	−0.980153	+	0.198242i	$0.936477\pi$
$318$	−18.1414	+	12.1217i	−1.01732	+	0.679752i
$319$	−10.7342	+	10.7342i	−0.600998	+	0.600998i
$320$	0.467546	+	2.18664i	0.0261366	+	0.122237i
$321$	33.3371	−	13.8087i	1.86070	−	0.770726i
$322$	2.35033	−	2.35033i	0.130979	−	0.130979i
$323$	21.3967	−	11.9749i	1.19054	−	0.666301i
$324$			4.72844i			0.262691i
$325$	−7.10181	−	15.8478i	−0.393938	−	0.879077i
$326$	4.78707	+	7.16436i	0.265131	+	0.396797i
$327$	−25.2519			−1.39643
$328$	−6.29729	−	9.42456i	−0.347710	−	0.520384i
$329$	−1.91910	−	1.28230i	−0.105803	−	0.0706955i
$330$	3.90929	−	21.2358i	0.215199	−	1.16899i
$331$	−26.2403	−	10.8691i	−1.44230	−	0.597419i	−0.481942	−	0.876203i	$-0.660069\pi$
$331$	−26.2403	−	10.8691i	−1.44230	−	0.597419i	−0.960354	+	0.278784i	$0.910069\pi$
$332$	−5.82251	+	2.41176i	−0.319552	+	0.132363i
$333$	−12.5115	+	18.7248i	−0.685626	+	1.02611i
$334$	5.07563	−	7.59622i	0.277726	−	0.415647i
$335$	0.185382	+	0.867004i	0.0101285	+	0.0473695i
$336$	3.01695	+	3.01695i	0.164588	+	0.164588i
$337$	30.6530	+	6.09727i	1.66978	+	0.332139i	0.937266	−	0.348615i	$-0.113348\pi$
$337$	30.6530	+	6.09727i	1.66978	+	0.332139i	0.732512	+	0.680754i	$0.238348\pi$
$338$	−0.358371	+	0.865184i	−0.0194928	+	0.0470598i
$339$	−52.9650			−2.87666
$340$	−8.72751	+	2.97164i	−0.473316	+	0.161160i
$341$	−19.7169			−1.06773
$342$	−9.22542	+	22.2721i	−0.498854	+	1.20434i
$343$	17.9922	+	3.57888i	0.971490	+	0.193241i
$344$	3.70361	+	3.70361i	0.199685	+	0.199685i
$345$	−10.3133	−	6.67982i	−0.555248	−	0.359629i
$346$	1.77405	−	2.65505i	0.0953735	−	0.142736i
$347$	−8.50457	+	12.7280i	−0.456549	+	0.683274i	−0.986315	−	0.164870i	$-0.947280\pi$
$347$	−8.50457	+	12.7280i	−0.456549	+	0.683274i	0.529766	+	0.848144i	$0.322280\pi$
$348$	−10.2447	+	4.24348i	−0.549172	+	0.227475i
$349$	−14.0645	−	5.82573i	−0.752858	−	0.311844i	−0.0269509	−	0.999637i	$-0.508580\pi$
$349$	−14.0645	−	5.82573i	−0.752858	−	0.311844i	−0.725907	+	0.687793i	$0.758580\pi$
$350$	−4.26977	+	6.80354i	−0.228229	+	0.363665i
$351$	8.08210	+	5.40029i	0.431391	+	0.288246i
$352$	−2.01999	−	3.02313i	−0.107666	−	0.161133i
$353$	−19.1306			−1.01822			−0.509110	−	0.860701i	$-0.670025\pi$
$353$	−19.1306			−1.01822			−0.509110	+	0.860701i	$0.670025\pi$
$354$	−4.57951	−	6.85372i	−0.243398	−	0.364271i
$355$	−33.7832	+	0.483058i	−1.79302	+	0.0256381i
$356$		−	4.91006i		−	0.260233i
$357$	−10.8948	+	13.8120i	−0.576613	+	0.731011i
$358$	−5.46187	+	5.46187i	−0.288669	+	0.288669i
$359$	22.7964	−	9.44258i	1.20315	−	0.498360i	0.311133	−	0.950366i	$-0.399291\pi$
$359$	22.7964	−	9.44258i	1.20315	−	0.498360i	0.892015	+	0.452006i	$0.149291\pi$
$360$	4.92765	−	7.60802i	0.259710	−	0.400978i
$361$	11.5723	−	11.5723i	0.609070	−	0.609070i
$362$	13.5482	−	9.05259i	0.712075	−	0.475794i
$363$	1.15009	+	5.78188i	0.0603639	+	0.303470i
$364$	−5.47250	+	1.08855i	−0.286837	+	0.0570554i
$365$	−7.39065	+	0.105677i	−0.386844	+	0.00553141i
$366$	14.7776	−	35.6763i	0.772438	−	1.86483i
$367$	−1.65382	−	1.10504i	−0.0863285	−	0.0576829i	0.511657	−	0.859190i	$-0.329032\pi$
$367$	−1.65382	−	1.10504i	−0.0863285	−	0.0576829i	−0.597985	+	0.801507i	$0.704032\pi$
$368$	−2.02929	+	0.403651i	−0.105784	+	0.0210418i
$369$	−8.96408	+	45.0655i	−0.466651	+	2.34601i
$370$	−11.4075	+	4.91739i	−0.593049	+	0.255643i
$371$	−10.9733	+	7.33211i	−0.569704	+	0.380664i
$372$	−13.3062	−	5.51161i	−0.689895	−	0.285764i
$373$	13.1540	+	13.1540i	0.681086	+	0.681086i	0.960245	−	0.279159i	$-0.0900556\pi$
$373$	13.1540	+	13.1540i	0.681086	+	0.681086i	−0.279159	+	0.960245i	$0.590056\pi$
$374$	11.4021	−	9.73279i	0.589587	−	0.503270i
$375$	27.8954	+	10.1765i	1.44051	+	0.525512i
$376$	0.549814	+	1.32737i	0.0283545	+	0.0684538i
$377$	2.82909	−	14.2228i	0.145705	−	0.732510i
$378$		−	4.49588i		−	0.231243i
$379$	−32.3617	−	6.43713i	−1.66231	−	0.330653i	−0.727580	−	0.686022i	$-0.759355\pi$
$379$	−32.3617	−	6.43713i	−1.66231	−	0.330653i	−0.934726	+	0.355369i	$0.884355\pi$
$380$	−10.9499	+	7.54513i	−0.561717	+	0.387057i
$381$	3.73452	+	18.7747i	0.191325	+	0.961856i
$382$	−0.850619	−	2.05358i	−0.0435214	−	0.105070i
$383$	−13.6528	−	32.9607i	−0.697624	−	1.68421i	−0.728824	−	0.684701i	$-0.759933\pi$
$383$	−13.6528	−	32.9607i	−0.697624	−	1.68421i	0.0312000	−	0.999513i	$-0.490067\pi$
$384$	−0.518138	−	2.60485i	−0.0264411	−	0.132928i
$385$	2.36463	−	12.8449i	0.120513	−	0.654639i
$386$	6.72471	+	1.33763i	0.342279	+	0.0680834i
$387$		−	21.2323i		−	1.07930i
$388$	−0.392268	+	1.97206i	−0.0199144	+	0.100116i
$389$	6.47393	+	15.6295i	0.328241	+	0.792445i	0.998723	+	0.0505188i	$0.0160875\pi$
$389$	6.47393	+	15.6295i	0.328241	+	0.792445i	−0.670482	+	0.741926i	$0.733913\pi$
$390$	8.16519	+	18.9419i	0.413460	+	0.959159i
$391$	−2.63393	−	8.11410i	−0.133204	−	0.410348i
$392$	−3.12487	−	3.12487i	−0.157830	−	0.157830i
$393$	−16.2897	−	6.74742i	−0.821707	−	0.340362i
$394$	−9.72440	+	6.49763i	−0.489908	+	0.327346i
$395$	14.3294	+	33.2417i	0.720988	+	1.67257i
$396$	−2.87542	+	14.4557i	−0.144495	+	0.726426i
$397$	−4.31360	+	0.858028i	−0.216493	+	0.0430632i	−0.302145	−	0.953262i	$-0.597703\pi$
$397$	−4.31360	+	0.858028i	−0.216493	+	0.0430632i	0.0856518	+	0.996325i	$0.472703\pi$
$398$	11.7037	+	7.82013i	0.586651	+	0.391988i
$399$	−9.70990	+	23.4418i	−0.486103	+	1.17356i
$400$	4.56280	−	2.04471i	0.228140	−	0.102236i
$401$	23.2855	−	4.63178i	1.16282	−	0.231300i	0.424296	−	0.905523i	$-0.360522\pi$
$401$	23.2855	−	4.63178i	1.16282	−	0.231300i	0.738527	+	0.674223i	$0.235522\pi$
$402$	−0.205442	−	1.03283i	−0.0102465	−	0.0515126i
$403$	15.6608	−	10.4642i	0.780118	−	0.521258i
$404$	−6.67355	+	6.67355i	−0.332022	+	0.332022i
$405$	10.3394	−	2.21076i	0.513769	−	0.109854i
$406$	−6.19673	+	2.56677i	−0.307539	+	0.127387i
$407$	14.2827	−	14.2827i	0.707967	−	0.707967i
$408$	10.4155	−	3.38099i	0.515644	−	0.167384i
$409$			13.2242i			0.653894i	0.945043	+	0.326947i	$0.106020\pi$
$409$			13.2242i			0.653894i	−0.945043	+	0.326947i	$0.893980\pi$
$410$	−17.6639	+	18.1763i	−0.872356	+	0.897665i
$411$	11.1188	+	16.6405i	0.548452	+	0.820817i
$412$	5.94327			0.292804
$413$	−2.77003	−	4.14564i	−0.136304	−	0.203993i
$414$	6.97384	+	4.65977i	0.342746	+	0.229015i
$415$	7.99596	+	11.6041i	0.392506	+	0.569625i
$416$	3.20887	+	1.32916i	0.157328	+	0.0651674i
$417$	46.2072	−	19.1396i	2.26277	−	0.937272i
$418$	12.0127	−	17.9783i	0.587560	−	0.879346i
$419$	4.26857	−	6.38836i	0.208533	−	0.312092i	−0.712429	−	0.701744i	$-0.752405\pi$
$419$	4.26857	−	6.38836i	0.208533	−	0.312092i	0.920962	+	0.389652i	$0.127405\pi$
$420$	5.18643	−	8.00756i	0.253072	−	0.390729i
$421$	−5.96878	−	5.96878i	−0.290901	−	0.290901i	0.546535	−	0.837436i	$-0.315946\pi$
$421$	−5.96878	−	5.96878i	−0.290901	−	0.290901i	−0.837436	+	0.546535i	$0.815946\pi$
$422$	−6.06350	−	1.20610i	−0.295166	−	0.0587123i
$423$	2.22880	−	5.38080i	0.108368	−	0.261624i
$424$	8.21515			0.398963
$425$	10.5784	+	17.6946i	0.513129	+	0.858312i
$426$	40.1300			1.94430
$427$	8.93859	−	21.5797i	0.432568	−	1.04431i
$428$	−13.3253	−	2.65057i	−0.644103	−	0.128120i
$429$	−23.7160	−	23.7160i	−1.14502	−	1.14502i
$430$	6.36687	−	9.83009i	0.307038	−	0.474049i
$431$	4.82911	−	7.22727i	0.232610	−	0.348125i	−0.696741	−	0.717323i	$-0.745367\pi$
$431$	4.82911	−	7.22727i	0.232610	−	0.348125i	0.929351	+	0.369197i	$0.120367\pi$
$432$	−1.55482	+	2.32695i	−0.0748062	+	0.111955i
$433$	5.71245	−	2.36618i	0.274523	−	0.113711i	−0.241175	−	0.970482i	$-0.577533\pi$
$433$	5.71245	−	2.36618i	0.274523	−	0.113711i	0.515698	+	0.856771i	$0.327533\pi$
$434$	−8.04858	−	3.33383i	−0.386344	−	0.160029i
$435$	14.0688	+	20.4174i	0.674549	+	0.978939i
$436$	7.90551	+	5.28230i	0.378605	+	0.252976i
$437$	−6.83598	−	10.2308i	−0.327009	−	0.489404i
$438$	8.77913			0.419483
$439$	−9.38882	−	14.0514i	−0.448104	−	0.670635i	0.536805	−	0.843706i	$-0.319631\pi$
$439$	−9.38882	−	14.0514i	−0.448104	−	0.670635i	−0.984909	+	0.173071i	$0.944631\pi$
$440$	−5.66606	+	5.83044i	−0.270119	+	0.277955i
$441$			17.9144i			0.853067i
$442$	−3.89103	+	13.7819i	−0.185078	+	0.655537i
$443$	8.31892	−	8.31892i	0.395244	−	0.395244i	−0.481308	−	0.876552i	$-0.659838\pi$
$443$	8.31892	−	8.31892i	0.395244	−	0.395244i	0.876552	+	0.481308i	$0.159838\pi$
$444$	13.6314	−	5.64631i	0.646917	−	0.267962i
$445$	−10.7365	+	2.29568i	−0.508961	+	0.108826i
$446$	−7.78234	+	7.78234i	−0.368504	+	0.368504i
$447$	−40.5416	+	27.0891i	−1.91755	+	1.28127i
$448$	−0.313408	−	1.57561i	−0.0148071	−	0.0744405i
$449$	0.743527	−	0.147897i	0.0350892	−	0.00697968i	−0.177515	−	0.984118i	$-0.556806\pi$
$449$	0.743527	−	0.147897i	0.0350892	−	0.00697968i	0.212604	+	0.977139i	$0.431806\pi$
$450$	−18.9399	−	7.21791i	−0.892837	−	0.340256i
$451$	15.7712	−	38.0750i	0.742636	−	1.79288i
$452$	16.5816	+	11.0794i	0.779931	+	0.521133i
$453$	−1.06748	+	0.212335i	−0.0501547	+	0.00997639i
$454$	−0.864666	+	4.34697i	−0.0405808	+	0.204013i
$455$	4.93891	+	11.4574i	0.231540	+	0.537133i
$456$	13.1325	−	8.77485i	0.614985	−	0.410920i
$457$	−27.8886	−	11.5518i	−1.30457	−	0.540372i	−0.381278	−	0.924461i	$-0.624516\pi$
$457$	−27.8886	−	11.5518i	−1.30457	−	0.540372i	−0.923296	+	0.384088i	$0.874516\pi$
$458$	−0.0555836	−	0.0555836i	−0.00259725	−	0.00259725i
$459$	−10.2798	−	5.24142i	−0.479820	−	0.244649i
$460$	1.83143	+	4.24861i	0.0853907	+	0.198092i
$461$	3.34439	+	8.07407i	0.155764	+	0.376047i	0.982426	−	0.186651i	$-0.0597634\pi$
$461$	3.34439	+	8.07407i	0.155764	+	0.376047i	−0.826663	+	0.562698i	$0.809763\pi$
$462$	−3.02642	+	15.2149i	−0.140802	+	0.707859i
$463$			15.9817i			0.742734i	0.928486	+	0.371367i	$0.121111\pi$
$463$			15.9817i			0.742734i	−0.928486	+	0.371367i	$0.878889\pi$
$464$	4.09494	+	0.814533i	0.190103	+	0.0378138i
$465$	−5.83065	+	31.6728i	−0.270390	+	1.46879i
$466$	−1.55811	−	7.83316i	−0.0721781	−	0.362864i
$467$	−15.9553	−	38.5196i	−0.738325	−	1.78247i	−0.612574	−	0.790413i	$-0.709866\pi$
$467$	−15.9553	−	38.5196i	−0.738325	−	1.78247i	−0.125751	−	0.992062i	$-0.540134\pi$
$468$	−5.38806	−	13.0079i	−0.249063	−	0.601291i
$469$	−0.124266	−	0.624729i	−0.00573808	−	0.0288473i
$470$	2.64542	−	1.82285i	0.122024	−	0.0840819i
$471$	−41.1392	−	8.18309i	−1.89559	−	0.377057i
$472$			3.10363i			0.142856i
$473$	−3.71524	+	18.6778i	−0.170827	+	0.858804i
$474$	−16.4534	−	39.7221i	−0.755731	−	1.82450i
$475$	21.6181	+	20.4157i	0.991905	+	0.936739i
$476$	6.30005	−	2.04507i	0.288763	−	0.0937357i
$477$	−23.5481	−	23.5481i	−1.07819	−	1.07819i
$478$	0.666130	+	0.275920i	0.0304681	+	0.0126203i
$479$	33.7108	−	22.5249i	1.54029	−	1.02919i	0.560735	−	0.827995i	$-0.310519\pi$
$479$	33.7108	−	22.5249i	1.54029	−	1.02919i	0.979552	−	0.201191i	$-0.0644813\pi$
$480$	−5.45363	+	2.35087i	−0.248923	+	0.107302i
$481$	−3.76433	+	18.9246i	−0.171639	+	0.862887i
$482$	−12.1003	+	2.40690i	−0.551154	+	0.109631i
$483$	7.34008	+	4.90448i	0.333985	+	0.223162i
$484$	0.849425	−	2.05069i	0.0386102	−	0.0932133i
$485$	4.49560	−	0.0642816i	0.204134	−	0.00291888i
$486$	−20.5514	+	4.08792i	−0.932229	+	0.185432i
$487$	−3.19619	−	16.0683i	−0.144833	−	0.728125i	−0.983130	−	0.182910i	$-0.941448\pi$
$487$	−3.19619	−	16.0683i	−0.144833	−	0.728125i	0.838297	−	0.545214i	$-0.183552\pi$
$488$	−12.0893	+	8.07781i	−0.547257	+	0.365665i
$489$	−16.1818	+	16.1818i	−0.731764	+	0.731764i
$490$	−5.37195	+	8.29399i	−0.242680	+	0.374684i
$491$	34.9175	−	14.4633i	1.57581	−	0.652720i	0.588063	−	0.808815i	$-0.299891\pi$
$491$	34.9175	−	14.4633i	1.57581	−	0.652720i	0.987742	+	0.156095i	$0.0498906\pi$
$492$	21.2867	−	21.2867i	0.959680	−	0.959680i
$493$	−1.35543	+	17.1612i	−0.0610453	+	0.772901i
$494$			20.6552i			0.929320i
$495$	32.9538	−	0.471200i	1.48116	−	0.0211789i
$496$	3.01279	+	4.50895i	0.135278	+	0.202458i
$497$	24.2736			1.08882
$498$	−9.29916	−	13.9172i	−0.416705	−	0.623644i
$499$	24.3202	+	16.2502i	1.08872	+	0.727460i	0.964311	−	0.264771i	$-0.0852965\pi$
$499$	24.3202	+	16.2502i	1.08872	+	0.727460i	0.124409	+	0.992231i	$0.460296\pi$
$500$	−6.60437	−	9.02121i	−0.295356	−	0.403441i
$501$	22.4169	+	9.28540i	1.00151	+	0.414841i
$502$	12.2303	−	5.06594i	0.545863	−	0.226104i
$503$	5.45548	−	8.16470i	0.243248	−	0.364046i	−0.689677	−	0.724117i	$-0.742248\pi$
$503$	5.45548	−	8.16470i	0.243248	−	0.364046i	0.932925	+	0.360071i	$0.117248\pi$
$504$	−3.61800	+	5.41472i	−0.161159	+	0.241191i
$505$	17.7129	+	11.4725i	0.788212	+	0.510518i
$506$	−5.31943	−	5.31943i	−0.236478	−	0.236478i
$507$	−2.43936	−	0.485219i	−0.108336	−	0.0215494i
$508$	2.75822	−	6.65893i	0.122376	−	0.295442i
$509$	−8.81683			−0.390799			−0.195400	−	0.980724i	$-0.562600\pi$
$509$	−8.81683			−0.390799			−0.195400	+	0.980724i	$0.562600\pi$
$510$	−12.2627	−	21.1942i	−0.543003	−	0.938494i
$511$	5.31027			0.234912
$512$	−0.382683	+	0.923880i	−0.0169124	+	0.0408301i
$513$	−16.3232	−	3.24689i	−0.720688	−	0.143354i
$514$	3.18368	+	3.18368i	0.140426	+	0.140426i
$515$	−2.77875	−	12.9958i	−0.122446	−	0.572663i
$516$	−7.72839	+	11.5664i	−0.340224	+	0.509181i
$517$	−2.90219	+	4.34343i	−0.127638	+	0.191024i
$518$	8.24527	−	3.41530i	0.362276	−	0.150060i
$519$	7.83523	+	3.24546i	0.343928	+	0.142460i
$520$	1.40610	−	7.63810i	0.0616615	−	0.334953i
$521$	−32.3811	−	21.6364i	−1.41864	−	0.947906i	−0.999195	−	0.0401267i	$-0.987224\pi$
$521$	−32.3811	−	21.6364i	−1.41864	−	0.947906i	−0.419447	−	0.907780i	$-0.637776\pi$
$522$	−9.40302	−	14.0726i	−0.411559	−	0.615942i
$523$	−27.9616			−1.22267			−0.611337	−	0.791370i	$-0.709368\pi$
$523$	−27.9616			−1.22267			−0.611337	+	0.791370i	$0.709368\pi$
$524$	3.68831	+	5.51995i	0.161125	+	0.241140i
$525$	−19.9346	−	7.59696i	−0.870016	−	0.331559i
$526$		−	4.03319i		−	0.175856i
$527$	−17.0060	+	14.5163i	−0.740794	+	0.632341i
$528$	6.82817	−	6.82817i	0.297158	−	0.297158i
$529$	17.2941	−	7.16347i	0.751919	−	0.311455i
$530$	−3.84096	−	17.9636i	−0.166841	−	0.780288i
$531$	8.89633	−	8.89633i	0.386068	−	0.386068i
$532$	7.94350	−	5.30768i	0.344394	−	0.230117i
$533$	7.68047	+	38.6123i	0.332678	+	1.67248i
$534$	12.7900	−	2.54409i	0.553477	−	0.110093i
$535$	0.434353	+	30.3769i	0.0187787	+	1.31331i
$536$	−0.151734	+	0.366318i	−0.00655391	+	0.0158225i
$537$	−17.0574	−	11.3974i	−0.736080	−	0.491833i
$538$	8.93935	−	1.77815i	0.385403	−	0.0766614i
$539$	3.13468	−	15.7591i	0.135020	−	0.678792i
$540$	5.81515	+	2.31187i	0.250244	+	0.0994872i
$541$	−3.25353	+	2.17394i	−0.139880	+	0.0934648i	−0.623541	−	0.781790i	$-0.714307\pi$
$541$	−3.25353	+	2.17394i	−0.139880	+	0.0934648i	0.483661	+	0.875255i	$0.339307\pi$
$542$	14.8211	+	6.13911i	0.636622	+	0.263697i
$543$	30.6005	+	30.6005i	1.31319	+	1.31319i
$544$	−3.96799	−	1.12028i	−0.170126	−	0.0480318i
$545$	7.85429	−	19.7562i	0.336441	−	0.846264i
$546$	−5.67101	−	13.6910i	−0.242697	−	0.585922i
$547$	−6.30728	+	31.7088i	−0.269680	+	1.35577i	0.573969	+	0.818877i	$0.305403\pi$
$547$	−6.30728	+	31.7088i	−0.269680	+	1.35577i	−0.843649	+	0.536895i	$0.819597\pi$
$548$		−	7.53549i		−	0.321900i
$549$	57.8075	+	11.4986i	2.46716	+	0.490749i
$550$	15.3982	+	9.66363i	0.656583	+	0.412059i
$551$	4.84396	+	24.3522i	0.206360	+	1.03744i
$552$	−2.10290	−	5.07686i	−0.0895056	−	0.216086i
$553$	−9.95225	−	24.0269i	−0.423213	−	1.02173i
$554$	4.43161	+	22.2792i	0.188281	+	0.946554i
$555$	−18.7197	−	27.1670i	−0.794609	−	1.15318i
$556$	−18.4696	−	3.67384i	−0.783287	−	0.155805i
$557$			19.8490i			0.841031i	0.907285	+	0.420516i	$0.138151\pi$
$557$			19.8490i			0.841031i	−0.907285	+	0.420516i	$0.861849\pi$
$558$	4.28865	−	21.5605i	0.181553	−	0.912728i
$559$	−6.96174	−	16.8071i	−0.294450	−	0.710865i
$560$	−3.29876	+	1.42198i	−0.139398	+	0.0600896i
$561$	31.2603	+	24.6578i	1.31981	+	1.04105i
$562$	5.76363	+	5.76363i	0.243124	+	0.243124i
$563$	−4.09394	−	1.69576i	−0.172539	−	0.0714679i	0.294742	−	0.955577i	$-0.404766\pi$
$563$	−4.09394	−	1.69576i	−0.172539	−	0.0714679i	−0.467281	+	0.884109i	$0.654766\pi$
$564$	−3.17272	+	2.11995i	−0.133596	+	0.0892659i
$565$	16.4741	−	41.4381i	0.693072	−	1.74331i
$566$	−3.63237	+	18.2612i	−0.152680	+	0.767573i
$567$	−7.45017	+	1.48193i	−0.312878	+	0.0622352i
$568$	−12.5634	−	8.39457i	−0.527147	−	0.352228i
$569$	14.3682	−	34.6879i	0.602345	−	1.45419i	−0.268815	−	0.963192i	$-0.586632\pi$
$569$	14.3682	−	34.6879i	0.602345	−	1.45419i	0.871160	−	0.490999i	$-0.163368\pi$
$570$	−25.3275	−	24.6134i	−1.06085	−	1.03094i
$571$	−1.76310	+	0.350702i	−0.0737835	+	0.0146764i	−0.231844	−	0.972753i	$-0.574476\pi$
$571$	−1.76310	+	0.350702i	−0.0737835	+	0.0146764i	0.158061	+	0.987429i	$0.449476\pi$
$572$	2.46367	+	12.3857i	0.103011	+	0.517873i
$573$	4.90853	−	3.27977i	0.205057	−	0.137014i
$574$	12.8758	−	12.8758i	0.537425	−	0.537425i
$575$	8.43390	−	5.99109i	0.351718	−	0.249846i
$576$	3.74516	−	1.55130i	0.156048	−	0.0646374i
$577$	−16.6066	+	16.6066i	−0.691342	+	0.691342i	−0.962527	−	0.271185i	$-0.912584\pi$
$577$	−16.6066	+	16.6066i	−0.691342	+	0.691342i	0.271185	+	0.962527i	$0.412584\pi$
$578$	2.66874	−	16.7892i	0.111005	−	0.698339i
$579$			18.2100i			0.756780i
$580$	−0.133479	−	9.33499i	−0.00554242	−	0.387614i
$581$	−5.62482	−	8.41813i	−0.233357	−	0.349243i
$582$	−5.34018			−0.221358
$583$	16.5945	+	24.8354i	0.687275	+	1.02858i
$584$	−2.74845	−	1.83646i	−0.113732	−	0.0759932i
$585$	−25.9245	+	17.8636i	−1.07185	+	0.738567i
$586$	−18.3107	−	7.58453i	−0.756407	−	0.313314i
$587$	−15.5887	+	6.45706i	−0.643415	+	0.266511i	−0.680441	−	0.732803i	$-0.738212\pi$
$587$	−15.5887	+	6.45706i	−0.643415	+	0.266511i	0.0370256	+	0.999314i	$0.488212\pi$
$588$	6.52072	−	9.75895i	0.268910	−	0.402452i
$589$	−17.9168	+	26.8143i	−0.738248	+	1.10487i
$590$	6.78654	−	1.45109i	0.279397	−	0.0597405i
$591$	−21.9640	−	21.9640i	−0.903477	−	0.903477i
$592$	−5.44865	−	1.08380i	−0.223938	−	0.0445441i
$593$	3.36325	−	8.11961i	0.138112	−	0.333432i	−0.839657	−	0.543117i	$-0.817244\pi$
$593$	3.36325	−	8.11961i	0.138112	−	0.333432i	0.977769	+	0.209685i	$0.0672438\pi$
$594$	−10.1754			−0.417501
$595$	−7.41740	−	12.8198i	−0.304084	−	0.525560i
$596$	18.3588			0.752007
$597$	−14.3062	+	34.5382i	−0.585514	+	1.41356i
$598$	7.04825	+	1.40198i	0.288225	+	0.0573314i
$599$	3.25613	+	3.25613i	0.133042	+	0.133042i	0.770492	−	0.637450i	$-0.220011\pi$
$599$	3.25613	+	3.25613i	0.133042	+	0.133042i	−0.637450	+	0.770492i	$0.720011\pi$
$600$	7.69034	+	10.8260i	0.313957	+	0.441969i
$601$	−4.22267	+	6.31967i	−0.172246	+	0.257785i	−0.907542	−	0.419962i	$-0.862043\pi$
$601$	−4.22267	+	6.31967i	−0.172246	+	0.257785i	0.735295	+	0.677747i	$0.237043\pi$
$602$	−4.67470	+	6.99619i	−0.190527	+	0.285143i
$603$	1.48496	−	0.615089i	0.0604721	−	0.0250484i
$604$	0.378610	+	0.156826i	0.0154054	+	0.00638114i
$605$	−4.88128	−	0.898594i	−0.198452	−	0.0365330i
$606$	−20.8415	−	13.9258i	−0.846626	−	0.565698i
$607$	−0.308278	−	0.461370i	−0.0125126	−	0.0187264i	0.825161	−	0.564898i	$-0.191085\pi$
$607$	−0.308278	−	0.461370i	−0.0125126	−	0.0187264i	−0.837673	+	0.546172i	$0.816085\pi$
$608$	−5.94691			−0.241179
$609$	−9.89683	−	14.8116i	−0.401040	−	0.600198i
$610$	23.3156	+	22.6582i	0.944021	+	0.917405i
$611$		−	4.99015i		−	0.201880i
$612$	8.16274	+	14.5852i	0.329959	+	0.589570i
$613$	30.8016	−	30.8016i	1.24407	−	1.24407i	0.285767	−	0.958299i	$-0.407752\pi$
$613$	30.8016	−	30.8016i	1.24407	−	1.24407i	0.958299	−	0.285767i	$-0.0922483\pi$
$614$	−10.0660	+	4.16946i	−0.406230	+	0.168266i
$615$	−56.4990	−	36.5939i	−2.27826	−	1.47561i
$616$	4.13018	−	4.13018i	0.166410	−	0.166410i
$617$	13.4661	−	8.99779i	0.542126	−	0.362237i	−0.254155	−	0.967163i	$-0.581797\pi$
$617$	13.4661	−	8.99779i	0.542126	−	0.362237i	0.796282	+	0.604926i	$0.206797\pi$
$618$	3.07943	+	15.4814i	0.123873	+	0.622751i
$619$	30.3711	−	6.04118i	1.22072	−	0.242816i	0.457648	−	0.889133i	$-0.348692\pi$
$619$	30.3711	−	6.04118i	1.22072	−	0.242816i	0.763069	+	0.646318i	$0.223692\pi$
$620$	8.45085	−	8.69603i	0.339394	−	0.349241i
$621$	−2.21590	+	5.34966i	−0.0889211	+	0.214675i
$622$	−9.09027	−	6.07392i	−0.364487	−	0.243542i
$623$	7.73633	−	1.53885i	0.309950	−	0.0616528i
$624$	−1.79963	+	9.04734i	−0.0720427	+	0.362183i
$625$	−16.6383	+	18.6592i	−0.665532	+	0.746369i
$626$	4.81431	−	3.21682i	0.192418	−	0.128570i
$627$	53.0550	+	21.9761i	2.11881	+	0.877641i
$628$	11.1675	+	11.1675i	0.445633	+	0.445633i
$629$	1.80351	−	22.8344i	0.0719105	−	0.910466i
$630$	13.5316	+	5.37964i	0.539113	+	0.214330i
$631$	6.95969	+	16.8022i	0.277061	+	0.668885i	0.999752	−	0.0222872i	$-0.00709482\pi$
$631$	6.95969	+	16.8022i	0.277061	+	0.668885i	−0.722691	+	0.691172i	$0.757095\pi$
$632$	−3.15822	+	15.8775i	−0.125627	+	0.631572i
$633$		−	16.4195i		−	0.652615i
$634$	0.112281	+	0.0223341i	0.00445925	+	0.000886999i
$635$	−15.8503	−	2.91788i	−0.629000	−	0.115793i
$636$	4.25658	+	21.3993i	0.168784	+	0.848536i
$637$	5.87387	+	14.1808i	0.232731	+	0.561862i
$638$	5.80929	+	14.0249i	0.229992	+	0.555250i
$639$	11.9495	+	60.0743i	0.472716	+	2.37650i
$640$	2.19912	+	0.404835i	0.0869277	+	0.0160025i
$641$	−8.79233	−	1.74890i	−0.347276	−	0.0690775i	0.0183705	−	0.999831i	$-0.494152\pi$
$641$	−8.79233	−	1.74890i	−0.347276	−	0.0690775i	−0.365647	+	0.930754i	$0.619152\pi$
$642$		−	36.0838i		−	1.42412i
$643$	−6.28509	+	31.5973i	−0.247860	+	1.24607i	0.633542	+	0.773708i	$0.281600\pi$
$643$	−6.28509	+	31.5973i	−0.247860	+	1.24607i	−0.881402	+	0.472367i	$0.843400\pi$
$644$	−1.27199	−	3.07086i	−0.0501235	−	0.121009i
$645$	28.9049	+	11.4914i	1.13813	+	0.452474i
$646$	−2.87520	−	24.3506i	−0.113123	−	0.958061i
$647$	5.46217	+	5.46217i	0.214740	+	0.214740i	0.806278	−	0.591537i	$-0.201479\pi$
$647$	5.46217	+	5.46217i	0.214740	+	0.214740i	−0.591537	+	0.806278i	$0.701479\pi$
$648$	4.36851	+	1.80950i	0.171611	+	0.0710837i
$649$	−9.38268	+	6.26931i	−0.368303	+	0.246092i
$650$	−17.3592	+	0.496533i	−0.680884	+	0.0194756i
$651$	4.51387	−	22.6928i	0.176912	−	0.889399i
$652$	8.45094	−	1.68100i	0.330964	−	0.0658329i
$653$	−10.7571	−	7.18766i	−0.420958	−	0.281275i	0.326996	−	0.945026i	$-0.393964\pi$
$653$	−10.7571	−	7.18766i	−0.420958	−	0.281275i	−0.747954	+	0.663751i	$0.768964\pi$
$654$	−9.66347	+	23.3297i	−0.377871	+	0.912262i
$655$	10.3457	−	10.6458i	0.404239	−	0.415967i
$656$	−11.1170	+	2.21131i	−0.434047	+	0.0863373i
$657$	2.61417	+	13.1423i	0.101988	+	0.512730i
$658$	−1.91910	+	1.28230i	−0.0748142	+	0.0499893i
$659$	−3.48601	+	3.48601i	−0.135796	+	0.135796i	−0.771737	−	0.635942i	$-0.780612\pi$
$659$	−3.48601	+	3.48601i	−0.135796	+	0.135796i	0.635942	+	0.771737i	$0.280612\pi$
$660$	−18.1233	−	11.7383i	−0.705447	−	0.456912i
$661$	15.8424	−	6.56214i	0.616198	−	0.255238i	−0.0526781	−	0.998612i	$-0.516776\pi$
$661$	15.8424	−	6.56214i	0.616198	−	0.255238i	0.668876	+	0.743374i	$0.266776\pi$
$662$	−20.0834	+	20.0834i	−0.780565	+	0.780565i
$663$	−37.9159	−	2.99467i	−1.47253	−	0.116303i
$664$			6.30224i			0.244574i
$665$	−15.3199	−	14.8880i	−0.594082	−	0.577332i
$666$	12.5115	+	18.7248i	0.484811	+	0.725571i
$667$	8.63860			0.334488
$668$	−5.07563	−	7.59622i	−0.196382	−	0.293907i
$669$	−24.3042	−	16.2395i	−0.939654	−	0.627857i
$670$	0.871949	+	0.160517i	0.0336863	+	0.00620132i
$671$	−48.8405	−	20.2304i	−1.88547	−	0.780986i
$672$	3.94184	−	1.63276i	0.152060	−	0.0629852i
$673$	−15.5346	+	23.2491i	−0.598814	+	0.896188i	−0.999802	−	0.0198952i	$-0.993667\pi$
$673$	−15.5346	+	23.2491i	−0.598814	+	0.896188i	0.400988	+	0.916083i	$0.368667\pi$
$674$	17.3636	−	25.9864i	0.668819	−	1.00096i
$675$	2.33639	−	13.7966i	0.0899275	−	0.531030i
$676$	0.662183	+	0.662183i	0.0254686	+	0.0254686i
$677$	22.4938	+	4.47429i	0.864506	+	0.171961i	0.607375	−	0.794416i	$-0.292223\pi$
$677$	22.4938	+	4.47429i	0.864506	+	0.171961i	0.257131	+	0.966376i	$0.417223\pi$
$678$	−20.2688	+	48.9332i	−0.778419	+	1.87927i
$679$	−3.23014			−0.123961
$680$	−0.594438	+	9.20036i	−0.0227957	+	0.352818i
$681$	−11.7712			−0.451075
$682$	−7.54535	+	18.2161i	−0.288926	+	0.697530i
$683$	−41.2307	−	8.20130i	−1.57765	−	0.313814i	−0.672892	−	0.739740i	$-0.734948\pi$
$683$	−41.2307	−	8.20130i	−1.57765	−	0.313814i	−0.904758	+	0.425926i	$0.859948\pi$
$684$	17.0464	+	17.0464i	0.651784	+	0.651784i
$685$	−16.4774	+	3.52319i	−0.629569	+	0.134614i
$686$	10.1918	−	15.2531i	0.389124	−	0.582365i
$687$	0.115987	−	0.173587i	0.00442519	−	0.00662277i
$688$	4.83901	−	2.00438i	0.184485	−	0.0764163i
$689$	−26.3614	−	10.9192i	−1.00429	−	0.415990i
$690$	−10.1181	+	6.97197i	−0.385188	+	0.265418i
$691$	17.3745	+	11.6093i	0.660956	+	0.441637i	0.840280	−	0.542153i	$-0.182391\pi$
$691$	17.3745	+	11.6093i	0.660956	+	0.441637i	−0.179323	+	0.983790i	$0.557391\pi$
$692$	−1.77405	−	2.65505i	−0.0674392	−	0.100930i
$693$	−23.6777			−0.899442
$694$	8.50457	+	12.7280i	0.322829	+	0.483148i
$695$	0.602039	+	42.1042i	0.0228366	+	1.59710i
$696$			11.0888i			0.420318i
$697$	−14.4294	−	44.4513i	−0.546553	−	1.68371i
$698$	−10.7645	+	10.7645i	−0.407444	+	0.407444i
$699$	19.5969	−	8.11731i	0.741224	−	0.307025i
$700$	4.65168	+	6.54836i	0.175817	+	0.247505i
$701$	−24.8926	+	24.8926i	−0.940182	+	0.940182i	−0.998309	−	0.0581274i	$-0.981487\pi$
$701$	−24.8926	+	24.8926i	−0.940182	+	0.940182i	0.0581274	+	0.998309i	$0.481487\pi$
$702$	8.08210	−	5.40029i	0.305039	−	0.203821i
$703$	−6.44529	−	32.4026i	−0.243089	−	1.22209i
$704$	−3.56602	+	0.709326i	−0.134399	+	0.0267337i
$705$	6.11896	+	5.94644i	0.230453	+	0.223956i
$706$	−7.32097	+	17.6744i	−0.275528	+	0.665184i
$707$	−12.6064	−	8.42336i	−0.474114	−	0.316793i
$708$	−8.08452	+	1.60811i	−0.303835	+	0.0604365i
$709$	−5.75229	+	28.9187i	−0.216032	+	1.08606i	0.708719	+	0.705491i	$0.249273\pi$
$709$	−5.75229	+	28.9187i	−0.216032	+	1.08606i	−0.924751	+	0.380574i	$0.875727\pi$
$710$	−12.4820	+	31.3964i	−0.468440	+	1.17829i
$711$	54.5644	−	36.4587i	2.04632	−	1.36731i
$712$	−4.53631	−	1.87900i	−0.170005	−	0.0704185i
$713$	7.93386	+	7.93386i	0.297126	+	0.297126i
$714$	8.59141	+	15.3511i	0.321525	+	0.574500i
$715$	25.9312	−	11.1781i	0.969774	−	0.418036i
$716$	2.95594	+	7.13628i	0.110469	+	0.266695i
$717$	−0.373585	+	1.87814i	−0.0139518	+	0.0701403i
$718$		−	24.6747i		−	0.920850i
$719$	5.60952	+	1.11580i	0.209200	+	0.0416124i	0.298577	−	0.954385i	$-0.403488\pi$
$719$	5.60952	+	1.11580i	0.209200	+	0.0416124i	−0.0893778	+	0.995998i	$0.528488\pi$
$720$	−5.14317	−	7.46402i	−0.191674	−	0.278168i
$721$	1.86267	+	9.36426i	0.0693694	+	0.348743i
$722$	−6.26290	−	15.1200i	−0.233081	−	0.562707i
$723$	−12.5393	−	30.2724i	−0.466340	−	1.12584i
$724$	−3.17885	−	15.9811i	−0.118141	−	0.593935i
$725$	−20.3499	+	4.65641i	−0.755775	+	0.172935i
$726$	5.78188	+	1.15009i	0.214586	+	0.0426837i
$727$		−	7.58102i		−	0.281165i	−0.990069	−	0.140582i	$-0.955103\pi$
$727$		−	7.58102i		−	0.281165i	0.990069	−	0.140582i	$-0.0448975\pi$
$728$	−1.08855	+	5.47250i	−0.0403442	+	0.202824i
$729$	−15.8684	−	38.3097i	−0.587719	−	1.41888i
$730$	−2.73065	+	6.86851i	−0.101066	+	0.254215i
$731$	10.5468	+	18.8450i	0.390088	+	0.697008i
$732$	−27.3055	−	27.3055i	−1.00924	−	1.00924i
$733$	5.17054	+	2.14171i	0.190978	+	0.0791058i	0.476123	−	0.879379i	$-0.342042\pi$
$733$	5.17054	+	2.14171i	0.190978	+	0.0791058i	−0.285145	+	0.958484i	$0.592042\pi$
$734$	−1.65382	+	1.10504i	−0.0610435	+	0.0407879i
$735$	−24.3881	−	9.69572i	−0.899567	−	0.357632i
$736$	−0.403651	+	2.02929i	−0.0148788	+	0.0748007i
$737$	−1.41393	+	0.281248i	−0.0520827	+	0.0103599i
$738$	38.2047	+	25.5275i	1.40633	+	0.939682i
$739$	−0.617255	+	1.49019i	−0.0227061	+	0.0548174i	−0.934826	−	0.355106i	$-0.884445\pi$
$739$	−0.617255	+	1.49019i	−0.0227061	+	0.0548174i	0.912120	+	0.409924i	$0.134445\pi$
$740$	0.177605	+	12.4210i	0.00652889	+	0.456604i
$741$	−53.8037	+	10.7022i	−1.97653	+	0.393156i
$742$	2.57469	+	12.9439i	0.0945200	+	0.475184i
$743$	17.4387	−	11.6521i	0.639762	−	0.427475i	−0.192929	−	0.981213i	$-0.561799\pi$
$743$	17.4387	−	11.6521i	0.639762	−	0.427475i	0.832691	+	0.553737i	$0.186799\pi$
$744$	−10.1841	+	10.1841i	−0.373368	+	0.373368i
$745$	−8.58361	−	40.1442i	−0.314479	−	1.47077i
$746$	17.1865	−	7.11887i	0.629242	−	0.260640i
$747$	18.0649	−	18.0649i	0.660960	−	0.660960i
$748$	−4.62854	−	14.2587i	−0.169236	−	0.521350i
$749$		−	21.8262i		−	0.797511i
$750$	20.0770	−	21.8777i	0.733107	−	0.798859i
$751$	10.3739	+	15.5257i	0.378551	+	0.566541i	0.971004	−	0.239064i	$-0.0768405\pi$
$751$	10.3739	+	15.5257i	0.378551	+	0.566541i	−0.592453	+	0.805605i	$0.701840\pi$
$752$	1.43673			0.0523923
$753$	19.5330	+	29.2332i	0.711822	+	1.06532i
$754$	−12.0575	−	8.05656i	−0.439108	−	0.293402i
$755$	0.165903	−	0.901208i	0.00603784	−	0.0327983i
$756$	−4.15365	−	1.72050i	−0.151067	−	0.0625740i
$757$	20.3421	−	8.42597i	0.739346	−	0.306247i	0.0189597	−	0.999820i	$-0.493965\pi$
$757$	20.3421	−	8.42597i	0.739346	−	0.306247i	0.720386	+	0.693573i	$0.243965\pi$
$758$	−18.3314	+	27.4349i	−0.665827	+	0.996480i
$759$	11.1002	−	16.6126i	0.402910	−	0.602997i
$760$	2.78045	+	13.0038i	0.100858	+	0.471696i
$761$	12.0277	+	12.0277i	0.436002	+	0.436002i	0.890664	−	0.454662i	$-0.150240\pi$
$761$	12.0277	+	12.0277i	0.436002	+	0.436002i	−0.454662	+	0.890664i	$0.650240\pi$
$762$	18.7747	+	3.73452i	0.680135	+	0.135287i
$763$	−5.84518	+	14.1115i	−0.211610	+	0.510871i
$764$	−2.22277			−0.0804171
$765$	28.0760	−	24.6682i	1.01509	−	0.891881i
$766$	−35.6764			−1.28904
$767$	4.12522	−	9.95917i	0.148953	−	0.359605i
$768$	−2.60485	−	0.518138i	−0.0939946	−	0.0186967i
$769$	3.88860	+	3.88860i	0.140227	+	0.140227i	0.773735	−	0.633509i	$-0.218386\pi$
$769$	3.88860	+	3.88860i	0.140227	+	0.140227i	−0.633509	+	0.773735i	$0.718386\pi$
$770$	−10.9623	−	7.10018i	−0.395053	−	0.255873i
$771$	−6.64343	+	9.94259i	−0.239257	+	0.358074i
$772$	3.80924	−	5.70093i	0.137098	−	0.205181i
$773$	8.36601	−	3.46531i	0.300904	−	0.124639i	−0.227123	−	0.973866i	$-0.572932\pi$
$773$	8.36601	−	3.46531i	0.300904	−	0.124639i	0.528027	+	0.849227i	$0.322932\pi$
$774$	−19.6160	−	8.12523i	−0.705084	−	0.292055i
$775$	−22.9663	−	14.4132i	−0.824972	−	0.517737i
$776$	1.67183	+	1.11708i	0.0600153	+	0.0401010i
$777$	13.1685	+	19.7081i	0.472419	+	0.707025i
$778$	16.9172			0.606511
$779$	−37.4494	−	56.0470i	−1.34176	−	2.00809i
$780$	20.6247	−	0.294908i	0.738482	−	0.0105594i
$781$		−	54.9376i		−	1.96582i
$782$	−8.50441	−	0.671696i	−0.304117	−	0.0240198i
$783$	8.26226	−	8.26226i	0.295269	−	0.295269i
$784$	−4.08284	+	1.69117i	−0.145816	+	0.0603989i
$785$	19.1980	−	29.6407i	0.685208	−	1.05792i
$786$	−12.4676	+	12.4676i	−0.444705	+	0.444705i
$787$	−11.9878	+	8.00999i	−0.427319	+	0.285525i	−0.750574	−	0.660786i	$-0.770223\pi$
$787$	−11.9878	+	8.00999i	−0.427319	+	0.285525i	0.323255	+	0.946312i	$0.395223\pi$
$788$	2.28167	+	11.4707i	0.0812810	+	0.408627i
$789$	10.5059	−	2.08975i	0.374019	−	0.0743971i
$790$	36.1949	−	0.517544i	1.28776	−	0.0184134i
$791$	−12.2601	+	29.5984i	−0.435918	+	1.05240i
$792$	12.2550	+	8.18850i	0.435461	+	0.290966i
$793$	49.5297	−	9.85208i	1.75885	−	0.349858i
$794$	−0.858028	+	4.31360i	−0.0304503	+	0.153084i
$795$	44.8024	−	19.3128i	1.58898	−	0.684953i
$796$	11.7037	−	7.82013i	0.414825	−	0.277177i
$797$	20.5748	+	8.52237i	0.728797	+	0.301878i	0.716058	−	0.698041i	$-0.245945\pi$
$797$	20.5748	+	8.52237i	0.728797	+	0.301878i	0.0127397	+	0.999919i	$0.495945\pi$
$798$	17.9416	+	17.9416i	0.635124	+	0.635124i
$799$	0.694630	+	5.88294i	0.0245742	+	0.208123i
$800$	−0.142959	−	4.99796i	−0.00505435	−	0.176704i
$801$	7.61696	+	18.3890i	0.269132	+	0.649743i
$802$	4.63178	−	23.2855i	0.163554	−	0.822241i
$803$		−	12.0186i		−	0.424125i
$804$	−1.03283	−	0.205442i	−0.0364249	−	0.00724537i
$805$	−6.12015	+	4.21716i	−0.215707	+	0.148635i
$806$	−3.67454	−	18.4731i	−0.129430	−	0.650688i
$807$	9.26363	+	22.3644i	0.326095	+	0.787264i
$808$	3.61170	+	8.71942i	0.127059	+	0.306748i
$809$	6.87121	+	34.5439i	0.241579	+	1.21450i	0.890976	+	0.454050i	$0.150021\pi$
$809$	6.87121	+	34.5439i	0.241579	+	1.21450i	−0.649398	+	0.760449i	$0.724979\pi$
$810$	1.91424	−	10.3984i	0.0672595	−	0.365362i
$811$	2.94357	+	0.585512i	0.103363	+	0.0205601i	0.246501	−	0.969143i	$-0.420719\pi$
$811$	2.94357	+	0.585512i	0.103363	+	0.0205601i	−0.143138	+	0.989703i	$0.545719\pi$
$812$			6.70730i			0.235380i
$813$	−8.31211	+	41.7878i	−0.291518	+	1.46556i
$814$	−7.72974	−	18.6612i	−0.270927	−	0.654076i
$815$	−7.62694	−	17.6932i	−0.267160	−	0.619767i
$816$	0.862208	−	10.9165i	0.0301833	−	0.382154i
$817$	22.0251	+	22.0251i	0.770559	+	0.770559i
$818$	12.2176	+	5.06068i	0.427177	+	0.176943i
$819$	18.8067	−	12.5663i	0.657160	−	0.439100i
$820$	10.0331	+	23.2751i	0.350370	+	0.812800i
$821$	8.73352	−	43.9064i	0.304802	−	1.53234i	−0.459906	−	0.887967i	$-0.652117\pi$
$821$	8.73352	−	43.9064i	0.304802	−	1.53234i	0.764709	−	0.644376i	$-0.222883\pi$
$822$	19.6288	−	3.90442i	0.684635	−	0.136182i
$823$	−13.8352	−	9.24436i	−0.482264	−	0.322238i	0.290563	−	0.956856i	$-0.406158\pi$
$823$	−13.8352	−	9.24436i	−0.482264	−	0.322238i	−0.772826	+	0.634618i	$0.781158\pi$
$824$	2.27439	−	5.49086i	0.0792321	−	0.191283i
$825$	−17.1940	+	45.1172i	−0.598617	+	1.57078i
$826$	−4.89011	+	0.972704i	−0.170149	+	0.0338447i
$827$	9.00109	+	45.2515i	0.312999	+	1.57355i	0.742097	+	0.670292i	$0.233831\pi$
$827$	9.00109	+	45.2515i	0.312999	+	1.57355i	−0.429099	+	0.903258i	$0.641169\pi$
$828$	6.97384	−	4.65977i	0.242358	−	0.161938i
$829$	4.96498	−	4.96498i	0.172441	−	0.172441i	−0.615610	−	0.788051i	$-0.711090\pi$
$829$	4.96498	−	4.96498i	0.172441	−	0.172441i	0.788051	+	0.615610i	$0.211090\pi$
$830$	13.7807	−	2.94659i	0.478337	−	0.102278i
$831$	−55.7380	+	23.0874i	−1.93353	+	0.800894i
$832$	2.45597	−	2.45597i	0.0851453	−	0.0851453i
$833$	−8.89872	−	15.9002i	−0.308323	−	0.550909i
$834$		−	50.0143i		−	1.73185i
$835$	−14.2371	+	14.6502i	−0.492696	+	0.506990i
$836$	−12.0127	−	17.9783i	−0.415468	−	0.621791i
$837$	15.1764			0.524575
$838$	−4.26857	−	6.38836i	−0.147455	−	0.220682i
$839$	41.3411	+	27.6232i	1.42725	+	0.953659i	0.998743	+	0.0501217i	$0.0159609\pi$
$839$	41.3411	+	27.6232i	1.42725	+	0.953659i	0.428509	+	0.903538i	$0.359039\pi$
$840$	−5.41326	−	7.85600i	−0.186775	−	0.271058i
$841$	10.6875	+	4.42689i	0.368533	+	0.152652i
$842$	−7.79859	+	3.23028i	−0.268757	+	0.111323i
$843$	−12.0271	+	17.9998i	−0.414234	+	0.619945i
$844$	−3.43470	+	5.14038i	−0.118227	+	0.176939i
$845$	1.13836	−	1.75756i	0.0391606	−	0.0604618i
$846$	−4.11829	−	4.11829i	−0.141590	−	0.141590i
$847$	3.49730	+	0.695657i	0.120169	+	0.0239031i
$848$	3.14380	−	7.58981i	0.107959	−	0.260635i
$849$	−49.4497			−1.69711
$850$	20.3958	−	3.00177i	0.699571	−	0.102960i
$851$	−11.4944			−0.394022
$852$	15.3571	−	37.0753i	0.526125	−	1.27018i
$853$	0.956873	+	0.190334i	0.0327627	+	0.00651691i	0.211444	−	0.977390i	$-0.432183\pi$
$853$	0.956873	+	0.190334i	0.0327627	+	0.00651691i	−0.178682	+	0.983907i	$0.557183\pi$
$854$	−16.5164	−	16.5164i	−0.565178	−	0.565178i
$855$	29.3043	−	45.2442i	1.00219	−	1.54732i
$856$	−7.54818	+	11.2966i	−0.257991	+	0.386111i
$857$	20.5725	−	30.7890i	0.702744	−	1.05173i	−0.292683	−	0.956209i	$-0.594548\pi$
$857$	20.5725	−	30.7890i	0.702744	−	1.05173i	0.995427	−	0.0955216i	$-0.0304519\pi$
$858$	−30.9865	+	12.8350i	−1.05786	+	0.438180i
$859$	−14.2415	−	5.89904i	−0.485915	−	0.201273i	0.126256	−	0.991998i	$-0.459704\pi$
$859$	−14.2415	−	5.89904i	−0.485915	−	0.201273i	−0.612172	+	0.790725i	$0.709704\pi$
$860$	−6.64532	−	9.64403i	−0.226604	−	0.328859i
$861$	40.2110	+	26.8681i	1.37039	+	0.915663i
$862$	−4.82911	−	7.22727i	−0.164480	−	0.246162i
$863$	2.05160			0.0698374			0.0349187	−	0.999390i	$-0.488883\pi$
$863$	2.05160			0.0698374			0.0349187	+	0.999390i	$0.488883\pi$
$864$	1.55482	+	2.32695i	0.0528960	+	0.0791645i
$865$	−4.97620	+	5.12057i	−0.169196	+	0.174105i
$866$		−	6.18312i		−	0.210111i
$867$	45.1162	−	1.74744i	1.53223	−	0.0593462i
$868$	−6.16011	+	6.16011i	−0.209088	+	0.209088i
$869$	−54.3792	+	22.5246i	−1.84469	+	0.764095i
$870$	24.2471	−	5.18450i	0.822055	−	0.175771i
$871$	0.973791	−	0.973791i	0.0329956	−	0.0329956i
$872$	7.90551	−	5.28230i	0.267715	−	0.178881i
$873$	−1.59015	−	7.99422i	−0.0538184	−	0.270563i
$874$	−12.0680	+	2.40048i	−0.408207	+	0.0811973i
$875$	12.1440	−	13.2332i	0.410543	−	0.447364i
$876$	3.35963	−	8.11086i	0.113511	−	0.274041i
$877$	13.4007	+	8.95406i	0.452509	+	0.302357i	0.760860	−	0.648916i	$-0.224777\pi$
$877$	13.4007	+	8.95406i	0.452509	+	0.302357i	−0.308351	+	0.951273i	$0.599777\pi$
$878$	−16.5747	+	3.29692i	−0.559370	+	0.111266i
$879$	10.2691	−	51.6265i	0.346370	−	1.74132i
$880$	3.21832	+	7.46597i	0.108490	+	0.251678i
$881$	−30.3104	+	20.2528i	−1.02118	+	0.682334i	−0.949071	−	0.315063i	$-0.897974\pi$
$881$	−30.3104	+	20.2528i	−1.02118	+	0.682334i	−0.0721137	+	0.997396i	$0.522974\pi$
$882$	16.5508	+	6.85555i	0.557293	+	0.230838i
$883$	28.8886	+	28.8886i	0.972180	+	0.972180i	0.999623	−	0.0274432i	$-0.00873654\pi$
$883$	28.8886	+	28.8886i	0.972180	+	0.972180i	−0.0274432	+	0.999623i	$0.508737\pi$
$884$	11.2438	+	8.86894i	0.378168	+	0.298295i
$885$	7.29625	+	16.9261i	0.245261	+	0.568964i
$886$	−4.50217	−	10.8692i	−0.151253	−	0.365158i
$887$	8.71245	−	43.8005i	0.292535	−	1.47068i	−0.502746	−	0.864434i	$-0.667677\pi$
$887$	8.71245	−	43.8005i	0.292535	−	1.47068i	0.795281	−	0.606241i	$-0.207323\pi$
$888$		−	14.7545i		−	0.495129i
$889$	11.3563	+	2.25891i	0.380879	+	0.0757615i
$890$	−1.98777	+	10.7978i	−0.0666300	+	0.361943i
$891$	3.35401	+	16.8617i	0.112363	+	0.564889i
$892$	4.21177	+	10.1681i	0.141021	+	0.340454i
$893$	3.26970	+	7.89375i	0.109416	+	0.264154i
$894$	9.51241	+	47.8221i	0.318143	+	1.59941i
$895$	14.2224	−	9.80013i	0.475404	−	0.327582i
$896$	−1.57561	−	0.313408i	−0.0526374	−	0.0104702i
$897$			19.0861i			0.637266i
$898$	0.147897	−	0.743527i	0.00493538	−	0.0248118i
$899$	−8.66448	−	20.9179i	−0.288976	−	0.697651i
$900$	−13.9165	+	14.7360i	−0.463883	+	0.491201i
$901$	32.5977	+	9.20330i	1.08599	+	0.306606i
$902$	−29.1414	−	29.1414i	−0.970301	−	0.970301i
$903$	−20.6462	−	8.55193i	−0.687062	−	0.284590i
$904$	16.5816	−	11.0794i	0.551495	−	0.368497i
$905$	−33.4588	+	14.4229i	−1.11221	+	0.479434i
$906$	−0.212335	+	1.06748i	−0.00705437	+	0.0354647i
$907$	25.8744	−	5.14675i	0.859147	−	0.170895i	0.254191	−	0.967154i	$-0.418191\pi$
$907$	25.8744	−	5.14675i	0.859147	−	0.170895i	0.604956	+	0.796259i	$0.293191\pi$
$908$	3.68518	+	2.46236i	0.122297	+	0.0817163i
$909$	14.6409	−	35.3462i	0.485607	−	1.17236i
$910$	12.4753	−	0.178382i	0.413553	−	0.00591331i
$911$	−6.98238	+	1.38888i	−0.231337	+	0.0460157i	−0.309397	−	0.950933i	$-0.600127\pi$
$911$	−6.98238	+	1.38888i	−0.231337	+	0.0460157i	0.0780606	+	0.996949i	$0.475127\pi$
$912$	−3.08132	−	15.4908i	−0.102033	−	0.512953i
$913$	−19.0525	+	12.7305i	−0.630545	+	0.421317i
$914$	−21.3450	+	21.3450i	−0.706030	+	0.706030i
$915$	−46.9407	+	72.4738i	−1.55181	+	2.39591i
$916$	−0.0726235	+	0.0300817i	−0.00239955	+	0.000993926i
$917$	−7.54133	+	7.54133i	−0.249037	+	0.249037i
$918$	−8.77635	+	7.49148i	−0.289663	+	0.247256i
$919$			32.8513i			1.08366i	0.840487	+	0.541832i	$0.182269\pi$
$919$			32.8513i			1.08366i	−0.840487	+	0.541832i	$0.817731\pi$
$920$	4.62606	−	0.0661470i	0.152517	−	0.00218080i
$921$	−16.0764	−	24.0601i	−0.529736	−	0.792806i
$922$	8.73931			0.287814
$923$	29.1565	+	43.6358i	0.959699	+	1.43629i
$924$	12.8985	+	8.61852i	0.424330	+	0.283529i
$925$	27.0772	−	6.19574i	0.890292	−	0.203715i
$926$	14.7652	+	6.11594i	0.485214	+	0.200982i
$927$	−22.2585	+	9.21977i	−0.731065	+	0.302817i
$928$	2.31960	−	3.47152i	0.0761444	−	0.113958i
$929$	−2.87561	+	4.30365i	−0.0943456	+	0.141198i	−0.875640	−	0.482965i	$-0.839560\pi$
$929$	−2.87561	+	4.30365i	−0.0943456	+	0.141198i	0.781294	+	0.624163i	$0.214560\pi$
$930$	27.0306	+	17.5075i	0.886368	+	0.574093i
$931$	−18.5833	−	18.5833i	−0.609044	−	0.609044i
$932$	−7.83316	−	1.55811i	−0.256584	−	0.0510376i
$933$	11.1117	−	26.8260i	0.363780	−	0.878242i
$934$	−41.6933			−1.36425
$935$	−29.0146	+	16.7876i	−0.948880	+	0.549012i
$936$	−14.0797			−0.460208
$937$	−11.9630	+	28.8813i	−0.390816	+	0.943512i	0.598947	+	0.800789i	$0.295586\pi$
$937$	−11.9630	+	28.8813i	−0.390816	+	0.943512i	−0.989763	+	0.142724i	$0.954414\pi$
$938$	−0.624729	−	0.124266i	−0.0203981	−	0.00405744i
$939$	10.8738	+	10.8738i	0.354854	+	0.354854i
$940$	−0.671740	−	3.14162i	−0.0219097	−	0.102468i
$941$	17.1026	−	25.5958i	0.557528	−	0.834399i	−0.440462	−	0.897771i	$-0.645185\pi$
$941$	17.1026	−	25.5958i	0.557528	−	0.834399i	0.997990	+	0.0633721i	$0.0201855\pi$
$942$	−23.3035	+	34.8761i	−0.759268	+	1.13632i
$943$	−21.6671	+	8.97480i	−0.705577	+	0.292260i
$944$	2.86738	+	1.18771i	0.0933254	+	0.0386567i
$945$	−1.82009	+	9.88696i	−0.0592076	+	0.321623i
$946$	15.8342	+	10.5801i	0.514815	+	0.343989i
$947$	−25.9674	−	38.8629i	−0.843826	−	1.26287i	−0.962864	−	0.269985i	$-0.912981\pi$
$947$	−25.9674	−	38.8629i	−0.843826	−	1.26287i	0.119038	−	0.992890i	$-0.462019\pi$
$948$	−42.9949			−1.39641
$949$	6.37850	+	9.54609i	0.207055	+	0.309879i
$950$	27.1346	−	12.1597i	0.880362	−	0.394513i
$951$			0.304048i			0.00985942i
$952$	0.521527	−	6.60311i	0.0169028	−	0.214008i
$953$	−37.4769	+	37.4769i	−1.21400	+	1.21400i	−0.244295	+	0.969701i	$0.578556\pi$
$953$	−37.4769	+	37.4769i	−1.21400	+	1.21400i	−0.969701	+	0.244295i	$0.921444\pi$
$954$	−30.7671	+	12.7441i	−0.996121	+	0.412607i
$955$	1.03925	+	4.86041i	0.0336293	+	0.157279i
$956$	0.509834	−	0.509834i	0.0164892	−	0.0164892i
$957$	−33.5227	+	22.3992i	−1.08364	+	0.724062i
$958$	−7.90968	−	39.7646i	−0.255550	−	1.28474i
$959$	11.8730	−	2.36168i	0.383398	−	0.0762626i
$960$	0.0849082	+	5.93814i	0.00274040	+	0.191653i
$961$	−0.609403	+	1.47123i	−0.0196582	+	0.0474590i
$962$	16.0435	+	10.7199i	0.517263	+	0.345624i
$963$	54.0172	−	10.7447i	1.74068	−	0.346243i
$964$	−2.40690	+	12.1003i	−0.0775210	+	0.389725i
$965$	−14.2469	−	5.66399i	−0.458624	−	0.182330i
$966$	7.34008	−	4.90448i	0.236163	−	0.157799i
$967$	12.6890	+	5.25597i	0.408052	+	0.169021i	0.577261	−	0.816560i	$-0.304121\pi$
$967$	12.6890	+	5.25597i	0.408052	+	0.169021i	−0.169209	+	0.985580i	$0.554121\pi$
$968$	−1.56953	−	1.56953i	−0.0504467	−	0.0504467i
$969$	61.9400	−	20.1064i	1.98980	−	0.645912i
$970$	1.66100	−	4.17799i	0.0533315	−	0.134147i
$971$	6.59643	+	15.9252i	0.211690	+	0.511064i	0.993683	−	0.112223i	$-0.0357970\pi$
$971$	6.59643	+	15.9252i	0.211690	+	0.511064i	−0.781993	+	0.623287i	$0.785797\pi$
$972$	−4.08792	+	20.5514i	−0.131120	+	0.659186i
$973$		−	30.2523i		−	0.969845i
$974$	−16.0683	−	3.19619i	−0.514862	−	0.102412i
$975$	−10.2879	−	44.9609i	−0.329475	−	1.43990i
$976$	2.83655	+	14.2603i	0.0907958	+	0.456461i
$977$	8.12926	+	19.6258i	0.260078	+	0.627884i	0.998943	−	0.0459699i	$-0.0146378\pi$
$977$	8.12926	+	19.6258i	0.260078	+	0.627884i	−0.738865	+	0.673854i	$0.764638\pi$
$978$	8.75750	+	21.1425i	0.280034	+	0.676062i
$979$	−3.48283	−	17.5094i	−0.111312	−	0.559602i
$980$	5.60689	+	8.13701i	0.179106	+	0.259927i
$981$	−37.8018	−	7.51925i	−1.20692	−	0.240071i
$982$		−	37.7944i		−	1.20607i
$983$	4.80136	−	24.1381i	0.153140	−	0.769885i	−0.825516	−	0.564379i	$-0.809116\pi$
$983$	4.80136	−	24.1381i	0.153140	−	0.769885i	0.978656	−	0.205507i	$-0.0658842\pi$
$984$	−11.5203	−	27.8125i	−0.367254	−	0.886629i
$985$	24.0155	−	10.3523i	0.765199	−	0.329851i
$986$	15.3362	+	7.81955i	0.488403	+	0.249025i
$987$	−4.33456	−	4.33456i	−0.137971	−	0.137971i
$988$	19.0829	+	7.90439i	0.607107	+	0.251472i
$989$	9.01068	−	6.02074i	0.286523	−	0.191448i
$990$	12.1756	−	30.6257i	0.386965	−	0.973348i
$991$	3.08725	−	15.5207i	0.0980698	−	0.493030i	−0.900265	−	0.435342i	$-0.856627\pi$
$991$	3.08725	−	15.5207i	0.0980698	−	0.493030i	0.998335	−	0.0576875i	$-0.0183727\pi$
$992$	5.31867	−	1.05795i	0.168868	−	0.0335899i
$993$	−62.7204	−	41.9085i	−1.99037	−	1.32992i
$994$	9.28910	−	22.4259i	0.294632	−	0.711305i
$995$	−22.5718	−	21.9354i	−0.715575	−	0.695400i
$996$	−16.4164	+	3.26543i	−0.520174	+	0.103469i
$997$	8.80146	+	44.2479i	0.278745	+	1.40135i	0.825665	+	0.564161i	$0.190800\pi$
$997$	8.80146	+	44.2479i	0.278745	+	1.40135i	−0.546920	+	0.837185i	$0.684200\pi$
$998$	24.3202	−	16.2502i	0.769842	−	0.514392i
$999$	−10.9936	+	10.9936i	−0.347823	+	0.347823i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	170.2.r.a.107.4	yes	32
5.2	odd	4		850.2.s.c.243.4		32
5.3	odd	4		170.2.o.a.73.1	yes	32
5.4	even	2		850.2.v.c.107.1		32
17.7	odd	16		170.2.o.a.7.1	✓	32
85.7	even	16		850.2.v.c.143.1		32
85.24	odd	16		850.2.s.c.7.4		32
85.58	even	16	inner	170.2.r.a.143.4	yes	32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
170.2.o.a.7.1	✓	32	17.7	odd	16
170.2.o.a.73.1	yes	32	5.3	odd	4
170.2.r.a.107.4	yes	32	1.1	even	1	trivial
170.2.r.a.143.4	yes	32	85.58	even	16	inner
850.2.s.c.7.4		32	85.24	odd	16
850.2.s.c.243.4		32	5.2	odd	4
850.2.v.c.107.1		32	5.4	even	2
850.2.v.c.143.1		32	85.7	even	16

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:	\( N \)	\(=\)	\( 170 = 2 \cdot 5 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	170.r (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.382683 - 0.923880i) q^{2} +(2.60485 + 0.518138i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(-1.21558 + 1.87679i) q^{5} +(1.47553 - 2.20829i) q^{6} +(0.892510 - 1.33574i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(3.74516 + 1.55130i) q^{9} +O(q^{10})\)	\(q+(0.382683 - 0.923880i) q^{2} +(2.60485 + 0.518138i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(-1.21558 + 1.87679i) q^{5} +(1.47553 - 2.20829i) q^{6} +(0.892510 - 1.33574i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(3.74516 + 1.55130i) q^{9} +(1.26875 + 1.84127i) q^{10} +(-3.02313 - 2.01999i) q^{11} +(-1.47553 - 2.20829i) q^{12} +3.47326 q^{13} +(-0.892510 - 1.33574i) q^{14} +(-4.13886 + 4.25894i) q^{15} +1.00000i q^{16} +(-4.09466 + 0.483478i) q^{17} +(2.86642 - 2.86642i) q^{18} +(-5.49423 + 2.27578i) q^{19} +(2.18664 - 0.467546i) q^{20} +(3.01695 - 3.01695i) q^{21} +(-3.02313 + 2.01999i) q^{22} +(0.403651 + 2.02929i) q^{23} +(-2.60485 + 0.518138i) q^{24} +(-2.04471 - 4.56280i) q^{25} +(1.32916 - 3.20887i) q^{26} +(2.32695 + 1.55482i) q^{27} +(-1.57561 + 0.313408i) q^{28} +(0.814533 - 4.09494i) q^{29} +(2.35087 + 5.45363i) q^{30} +(4.50895 - 3.01279i) q^{31} +(0.923880 + 0.382683i) q^{32} +(-6.82817 - 6.82817i) q^{33} +(-1.12028 + 3.96799i) q^{34} +(1.42198 + 3.29876i) q^{35} +(-1.55130 - 3.74516i) q^{36} +(-1.08380 + 5.44865i) q^{37} +5.94691i q^{38} +(9.04734 + 1.79963i) q^{39} +(0.404835 - 2.19912i) q^{40} +(2.21131 + 11.1170i) q^{41} +(-1.63276 - 3.94184i) q^{42} +(-2.00438 - 4.83901i) q^{43} +(0.709326 + 3.56602i) q^{44} +(-7.46402 + 5.14317i) q^{45} +(2.02929 + 0.403651i) q^{46} -1.43673i q^{47} +(-0.518138 + 2.60485i) q^{48} +(1.69117 + 4.08284i) q^{49} +(-4.99796 + 0.142959i) q^{50} +(-10.9165 - 0.862208i) q^{51} +(-2.45597 - 2.45597i) q^{52} +(-7.58981 - 3.14380i) q^{53} +(2.32695 - 1.55482i) q^{54} +(7.46597 - 3.21832i) q^{55} +(-0.313408 + 1.57561i) q^{56} +(-15.4908 + 3.08132i) q^{57} +(-3.47152 - 2.31960i) q^{58} +(1.18771 - 2.86738i) q^{59} +(5.93814 - 0.0849082i) q^{60} +(14.2603 - 2.83655i) q^{61} +(-1.05795 - 5.31867i) q^{62} +(5.41472 - 3.61800i) q^{63} +(0.707107 - 0.707107i) q^{64} +(-4.22204 + 6.51859i) q^{65} +(-8.92144 + 3.69538i) q^{66} +(0.280368 - 0.280368i) q^{67} +(3.23723 + 2.55349i) q^{68} +5.49515i q^{69} +(3.59182 - 0.0513587i) q^{70} +(8.39457 + 12.5634i) q^{71} -4.05373 q^{72} +(1.83646 + 2.74845i) q^{73} +(4.61914 + 3.08641i) q^{74} +(-2.96202 - 12.9449i) q^{75} +(5.49423 + 2.27578i) q^{76} +(-5.39634 + 2.23524i) q^{77} +(5.12490 - 7.66996i) q^{78} +(8.99386 - 13.4603i) q^{79} +(-1.87679 - 1.21558i) q^{80} +(-3.34351 - 3.34351i) q^{81} +(11.1170 + 2.21131i) q^{82} +(2.41176 - 5.82251i) q^{83} -4.26662 q^{84} +(4.07002 - 8.27254i) q^{85} -5.23770 q^{86} +(4.24348 - 10.2447i) q^{87} +(3.56602 + 0.709326i) q^{88} +(3.47194 + 3.47194i) q^{89} +(1.89531 + 8.86406i) q^{90} +(3.09992 - 4.63936i) q^{91} +(1.14950 - 1.72035i) q^{92} +(13.3062 - 5.51161i) q^{93} +(-1.32737 - 0.549814i) q^{94} +(2.40752 - 13.0779i) q^{95} +(2.20829 + 1.47553i) q^{96} +(-1.11708 - 1.67183i) q^{97} +4.41923 q^{98} +(-8.18850 - 12.2550i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q+O(q^{10}) \) 32 * q	\( 32 q - 8 q^{10} - 48 q^{15} + 16 q^{18} - 24 q^{25} + 8 q^{26} + 24 q^{27} - 8 q^{28} - 8 q^{29} - 16 q^{30} - 16 q^{31} + 64 q^{33} + 24 q^{34} + 32 q^{35} - 32 q^{37} - 32 q^{39} + 16 q^{41} - 24 q^{42} - 16 q^{43} - 16 q^{44} - 24 q^{45} - 16 q^{49} - 32 q^{50} + 32 q^{51} - 16 q^{52} + 16 q^{53} + 24 q^{54} - 8 q^{55} + 8 q^{56} - 24 q^{57} - 16 q^{58} - 64 q^{59} + 40 q^{60} - 24 q^{61} - 40 q^{62} - 24 q^{63} + 32 q^{65} + 16 q^{67} + 40 q^{70} + 8 q^{71} - 16 q^{72} + 32 q^{73} + 8 q^{74} - 56 q^{75} + 24 q^{77} + 32 q^{78} + 72 q^{79} + 8 q^{80} + 48 q^{81} + 48 q^{82} + 16 q^{83} + 8 q^{85} - 64 q^{86} + 40 q^{87} + 32 q^{88} + 16 q^{89} + 24 q^{90} + 48 q^{91} + 24 q^{92} - 8 q^{93} + 8 q^{94} + 56 q^{95} - 48 q^{97} - 64 q^{99}+O(q^{100}) \) 32 * q - 8 * q^10 - 48 * q^15 + 16 * q^18 - 24 * q^25 + 8 * q^26 + 24 * q^27 - 8 * q^28 - 8 * q^29 - 16 * q^30 - 16 * q^31 + 64 * q^33 + 24 * q^34 + 32 * q^35 - 32 * q^37 - 32 * q^39 + 16 * q^41 - 24 * q^42 - 16 * q^43 - 16 * q^44 - 24 * q^45 - 16 * q^49 - 32 * q^50 + 32 * q^51 - 16 * q^52 + 16 * q^53 + 24 * q^54 - 8 * q^55 + 8 * q^56 - 24 * q^57 - 16 * q^58 - 64 * q^59 + 40 * q^60 - 24 * q^61 - 40 * q^62 - 24 * q^63 + 32 * q^65 + 16 * q^67 + 40 * q^70 + 8 * q^71 - 16 * q^72 + 32 * q^73 + 8 * q^74 - 56 * q^75 + 24 * q^77 + 32 * q^78 + 72 * q^79 + 8 * q^80 + 48 * q^81 + 48 * q^82 + 16 * q^83 + 8 * q^85 - 64 * q^86 + 40 * q^87 + 32 * q^88 + 16 * q^89 + 24 * q^90 + 48 * q^91 + 24 * q^92 - 8 * q^93 + 8 * q^94 + 56 * q^95 - 48 * q^97 - 64 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more