LMFDB - Embedded newform 348.2.t.a.35.15

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [348,2,Mod(35,348)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(348, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([7, 7, 3]))

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

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

chi := DirichletCharacter("348.35");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 348 = 2^{2} \cdot 3 \cdot 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	348.t (of order $14$, degree $6$, 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:	$2.77879399034$
Analytic rank:	$0$
Dimension:	$336$
Relative dimension:	$56$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			35.15
Character	$\chi$	$=$	348.35
Dual form			348.2.t.a.179.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.976315 - 1.02314i) q^{2} +(0.773743 + 1.54962i) q^{3} +(-0.0936199 + 1.99781i) q^{4} +(-3.09364 - 2.46710i) q^{5} +(0.830057 - 2.30456i) q^{6} +(2.60358 + 0.594250i) q^{7} +(2.13543 - 1.85470i) q^{8} +(-1.80264 + 2.39802i) q^{9} +O(q^{10})$	\(q+(-0.976315 - 1.02314i) q^{2} +(0.773743 + 1.54962i) q^{3} +(-0.0936199 + 1.99781i) q^{4} +(-3.09364 - 2.46710i) q^{5} +(0.830057 - 2.30456i) q^{6} +(2.60358 + 0.594250i) q^{7} +(2.13543 - 1.85470i) q^{8} +(-1.80264 + 2.39802i) q^{9} +(0.496188 + 5.57388i) q^{10} +(1.96333 + 4.07691i) q^{11} +(-3.16828 + 1.40072i) q^{12} +(2.24733 - 1.08226i) q^{13} +(-1.93391 - 3.24399i) q^{14} +(1.42938 - 6.70286i) q^{15} +(-3.98247 - 0.374069i) q^{16} +1.31398 q^{17} +(4.21345 - 0.496867i) q^{18} +(0.427998 + 1.87518i) q^{19} +(5.21841 - 5.94953i) q^{20} +(1.09364 + 4.49435i) q^{21} +(2.25440 - 5.98910i) q^{22} +(4.39915 + 5.51636i) q^{23} +(4.52636 + 1.87405i) q^{24} +(2.37144 + 10.3900i) q^{25} +(-3.30140 - 1.24270i) q^{26} +(-5.11080 - 0.937961i) q^{27} +(-1.43094 + 5.14581i) q^{28} +(1.97428 + 5.01021i) q^{29} +(-8.25347 + 5.08166i) q^{30} +(-0.382439 + 0.479563i) q^{31} +(3.50542 + 4.43982i) q^{32} +(-4.79854 + 6.19690i) q^{33} +(-1.28286 - 1.34438i) q^{34} +(-6.58846 - 8.26167i) q^{35} +(-4.62201 - 3.82583i) q^{36} +(3.98009 - 8.26475i) q^{37} +(1.50071 - 2.26867i) q^{38} +(3.41595 + 2.64512i) q^{39} +(-11.1820 + 0.469462i) q^{40} +6.19900 q^{41} +(3.53060 - 5.50685i) q^{42} +(2.07260 + 2.59895i) q^{43} +(-8.32868 + 3.54068i) q^{44} +(11.4929 - 2.97131i) q^{45} +(1.34904 - 9.88664i) q^{46} +(-0.889210 - 1.84646i) q^{47} +(-2.50175 - 6.46075i) q^{48} +(0.118703 + 0.0571644i) q^{49} +(8.31509 - 12.5702i) q^{50} +(1.01668 + 2.03617i) q^{51} +(1.95175 + 4.59106i) q^{52} +(-5.02754 - 4.00933i) q^{53} +(4.03008 + 6.14479i) q^{54} +(3.98427 - 17.4562i) q^{55} +(6.66193 - 3.55988i) q^{56} +(-2.57466 + 2.11414i) q^{57} +(3.19861 - 6.91150i) q^{58} -14.3346 q^{59} +(13.2572 + 3.48314i) q^{60} +(-5.96790 - 1.36213i) q^{61} +(0.864040 - 0.0769171i) q^{62} +(-6.11834 + 5.17220i) q^{63} +(1.12016 - 7.92119i) q^{64} +(-9.62247 - 2.19627i) q^{65} +(11.0252 - 1.14056i) q^{66} +(0.889900 - 1.84790i) q^{67} +(-0.123015 + 2.62508i) q^{68} +(-5.14445 + 11.0853i) q^{69} +(-2.02041 + 14.8069i) q^{70} +(7.23645 - 3.48489i) q^{71} +(0.598183 + 8.46417i) q^{72} +(-0.159629 + 0.127300i) q^{73} +(-12.3418 + 3.99681i) q^{74} +(-14.2656 + 11.7140i) q^{75} +(-3.78632 + 0.679503i) q^{76} +(2.68899 + 11.7813i) q^{77} +(-0.628717 - 6.07745i) q^{78} +(4.42448 + 2.13072i) q^{79} +(11.3975 + 10.9824i) q^{80} +(-2.50096 - 8.64553i) q^{81} +(-6.05218 - 6.34243i) q^{82} +(-0.563269 - 2.46784i) q^{83} +(-9.08124 + 1.76412i) q^{84} +(-4.06499 - 3.24172i) q^{85} +(0.635581 - 4.65795i) q^{86} +(-6.23633 + 6.93600i) q^{87} +(11.7540 + 5.06456i) q^{88} +(7.19293 - 9.01965i) q^{89} +(-14.2607 - 8.85784i) q^{90} +(6.49423 - 1.48227i) q^{91} +(-11.4325 + 8.27222i) q^{92} +(-1.03905 - 0.221576i) q^{93} +(-1.02104 + 2.71251i) q^{94} +(3.30218 - 6.85705i) q^{95} +(-4.16774 + 8.86735i) q^{96} +(-6.23771 + 1.42372i) q^{97} +(-0.0574045 - 0.177260i) q^{98} +(-13.3157 - 2.64110i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 336 q - 10 q^{4} - 3 q^{6} - 10 q^{9}+O(q^{10}) $ 336 * q - 10 * q^4 - 3 * q^6 - 10 * q^9	$ 336 q - 10 q^{4} - 3 q^{6} - 10 q^{9} - 14 q^{10} - 20 q^{13} - 26 q^{16} - 56 q^{18} - 14 q^{21} - 40 q^{22} + 3 q^{24} + 40 q^{25} - 36 q^{28} - 6 q^{30} - 22 q^{33} - 8 q^{34} + 9 q^{36} - 28 q^{37} - 14 q^{40} - 74 q^{42} - 22 q^{45} + 14 q^{48} + 4 q^{49} - 4 q^{52} - 31 q^{54} - 12 q^{57} - 106 q^{58} - 42 q^{60} - 28 q^{61} - 94 q^{64} - 7 q^{66} - 14 q^{69} + 70 q^{72} - 28 q^{73} - 84 q^{76} - 9 q^{78} - 50 q^{81} - 46 q^{82} - 35 q^{84} - 168 q^{85} - 60 q^{88} + 119 q^{90} + 122 q^{93} + 36 q^{94} + 2 q^{96} - 28 q^{97}+O(q^{100}) $ 336 * q - 10 * q^4 - 3 * q^6 - 10 * q^9 - 14 * q^10 - 20 * q^13 - 26 * q^16 - 56 * q^18 - 14 * q^21 - 40 * q^22 + 3 * q^24 + 40 * q^25 - 36 * q^28 - 6 * q^30 - 22 * q^33 - 8 * q^34 + 9 * q^36 - 28 * q^37 - 14 * q^40 - 74 * q^42 - 22 * q^45 + 14 * q^48 + 4 * q^49 - 4 * q^52 - 31 * q^54 - 12 * q^57 - 106 * q^58 - 42 * q^60 - 28 * q^61 - 94 * q^64 - 7 * q^66 - 14 * q^69 + 70 * q^72 - 28 * q^73 - 84 * q^76 - 9 * q^78 - 50 * q^81 - 46 * q^82 - 35 * q^84 - 168 * q^85 - 60 * q^88 + 119 * q^90 + 122 * q^93 + 36 * q^94 + 2 * q^96 - 28 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/348\mathbb{Z}\right)^\times$.

$n$	$175$	$205$	$233$
$\chi(n)$	$-1$	$e\left(\frac{3}{14}\right)$	$-1$

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 $

$2$	−0.976315	−	1.02314i	−0.690359	−	0.723467i
$2$	−0.976315	−	1.02314i	−0.690359	−	0.723467i
$3$	0.773743	+	1.54962i	0.446721	+	0.894673i
$3$	0.773743	+	1.54962i	0.446721	+	0.894673i
$4$	−0.0936199	+	1.99781i	−0.0468099	+	0.998904i
$5$	−3.09364	−	2.46710i	−1.38352	−	1.10332i	−0.982296	−	0.187338i	$-0.940014\pi$
$5$	−3.09364	−	2.46710i	−1.38352	−	1.10332i	−0.401222	−	0.915981i	$-0.631414\pi$
$6$	0.830057	−	2.30456i	0.338869	−	0.940833i
$7$	2.60358	+	0.594250i	0.984060	+	0.224605i	0.684133	−	0.729357i	$-0.260181\pi$
$7$	2.60358	+	0.594250i	0.984060	+	0.224605i	0.299927	+	0.953962i	$0.403038\pi$
$8$	2.13543	−	1.85470i	0.754990	−	0.655736i
$9$	−1.80264	+	2.39802i	−0.600881	+	0.799339i
$10$	0.496188	+	5.57388i	0.156908	+	1.76262i
$11$	1.96333	+	4.07691i	0.591968	+	1.22923i	0.954764	+	0.297365i	$0.0961078\pi$
$11$	1.96333	+	4.07691i	0.591968	+	1.22923i	−0.362796	+	0.931868i	$0.618178\pi$
$12$	−3.16828	+	1.40072i	−0.914604	+	0.404352i
$13$	2.24733	−	1.08226i	0.623298	−	0.300164i	−0.0954513	−	0.995434i	$-0.530429\pi$
$13$	2.24733	−	1.08226i	0.623298	−	0.300164i	0.718749	+	0.695270i	$0.244715\pi$
$14$	−1.93391	−	3.24399i	−0.516860	−	0.866993i
$15$	1.42938	−	6.70286i	0.369063	−	1.73067i
$16$	−3.98247	−	0.374069i	−0.995618	−	0.0935173i
$17$	1.31398			0.318687			0.159344	−	0.987223i	$-0.449062\pi$
$17$	1.31398			0.318687			0.159344	+	0.987223i	$0.449062\pi$
$18$	4.21345	−	0.496867i	0.993119	−	0.117113i
$19$	0.427998	+	1.87518i	0.0981894	+	0.430196i	0.999998	−	0.00193948i	$-0.000617356\pi$
$19$	0.427998	+	1.87518i	0.0981894	+	0.430196i	−0.901809	+	0.432136i	$0.857760\pi$
$20$	5.21841	−	5.94953i	1.16687	−	1.33035i
$21$	1.09364	+	4.49435i	0.238652	+	0.980748i
$22$	2.25440	−	5.98910i	0.480640	−	1.27688i
$23$	4.39915	+	5.51636i	0.917287	+	1.15024i	0.988263	+	0.152763i	$0.0488172\pi$
$23$	4.39915	+	5.51636i	0.917287	+	1.15024i	−0.0709760	+	0.997478i	$0.522611\pi$
$24$	4.52636	+	1.87405i	0.923940	+	0.382538i
$25$	2.37144	+	10.3900i	0.474289	+	2.07799i
$26$	−3.30140	−	1.24270i	−0.647458	−	0.243714i
$27$	−5.11080	−	0.937961i	−0.983573	−	0.180511i
$28$	−1.43094	+	5.14581i	−0.270423	+	0.972467i
$29$	1.97428	+	5.01021i	0.366615	+	0.930373i
$29$	1.97428	+	5.01021i	0.366615	+	0.930373i
$30$	−8.25347	+	5.08166i	−1.50687	+	0.927779i
$31$	−0.382439	+	0.479563i	−0.0686881	+	0.0861321i	−0.814989	−	0.579477i	$-0.803257\pi$
$31$	−0.382439	+	0.479563i	−0.0686881	+	0.0861321i	0.746300	+	0.665609i	$0.231828\pi$
$32$	3.50542	+	4.43982i	0.619677	+	0.784857i
$33$	−4.79854	+	6.19690i	−0.835318	+	1.07874i
$34$	−1.28286	−	1.34438i	−0.220009	−	0.230560i
$35$	−6.58846	−	8.26167i	−1.11365	−	1.39648i
$36$	−4.62201	−	3.82583i	−0.770335	−	0.637639i
$37$	3.98009	−	8.26475i	0.654323	−	1.35872i	−0.264630	−	0.964350i	$-0.585250\pi$
$37$	3.98009	−	8.26475i	0.654323	−	1.35872i	0.918953	−	0.394366i	$-0.129036\pi$
$38$	1.50071	−	2.26867i	0.243447	−	0.368026i
$39$	3.41595	+	2.64512i	0.546989	+	0.423558i
$40$	−11.1820	+	0.469462i	−1.76803	+	0.0742285i
$41$	6.19900			0.968121			0.484061	−	0.875034i	$-0.339161\pi$
$41$	6.19900			0.968121			0.484061	+	0.875034i	$0.339161\pi$
$42$	3.53060	−	5.50685i	0.544784	−	0.849725i
$43$	2.07260	+	2.59895i	0.316068	+	0.396337i	0.914334	−	0.404961i	$-0.132715\pi$
$43$	2.07260	+	2.59895i	0.316068	+	0.396337i	−0.598266	+	0.801298i	$0.704143\pi$
$44$	−8.32868	+	3.54068i	−1.25560	+	0.533778i
$45$	11.4929	−	2.97131i	1.71325	−	0.442936i
$46$	1.34904	−	9.88664i	0.198905	−	1.45771i
$47$	−0.889210	−	1.84646i	−0.129705	−	0.269335i	0.825995	−	0.563677i	$-0.190614\pi$
$47$	−0.889210	−	1.84646i	−0.129705	−	0.269335i	−0.955700	+	0.294342i	$0.904899\pi$
$48$	−2.50175	−	6.46075i	−0.361096	−	0.932529i
$49$	0.118703	+	0.0571644i	0.0169576	+	0.00816634i
$50$	8.31509	−	12.5702i	1.17593	−	1.77769i
$51$	1.01668	+	2.03617i	0.142364	+	0.285121i
$52$	1.95175	+	4.59106i	0.270659	+	0.636665i
$53$	−5.02754	−	4.00933i	−0.690586	−	0.550724i	0.214095	−	0.976813i	$-0.431320\pi$
$53$	−5.02754	−	4.00933i	−0.690586	−	0.550724i	−0.904681	+	0.426089i	$0.859891\pi$
$54$	4.03008	+	6.14479i	0.548425	+	0.836200i
$55$	3.98427	−	17.4562i	0.537238	−	2.35379i
$56$	6.66193	−	3.55988i	0.890237	−	0.475709i
$57$	−2.57466	+	2.11414i	−0.341022	+	0.280025i
$58$	3.19861	−	6.91150i	0.419999	−	0.907525i
$59$	−14.3346			−1.86620			−0.933102	−	0.359612i	$-0.882909\pi$
$59$	−14.3346			−1.86620			−0.933102	+	0.359612i	$0.882909\pi$
$60$	13.2572	+	3.48314i	1.71150	+	0.449671i
$61$	−5.96790	−	1.36213i	−0.764111	−	0.174403i	−0.177333	−	0.984151i	$-0.556747\pi$
$61$	−5.96790	−	1.36213i	−0.764111	−	0.174403i	−0.586778	+	0.809748i	$0.699604\pi$
$62$	0.864040	−	0.0769171i	0.109733	−	0.00976848i
$63$	−6.11834	+	5.17220i	−0.770838	+	0.651636i
$64$	1.12016	−	7.92119i	0.140020	−	0.990149i
$65$	−9.62247	−	2.19627i	−1.19352	−	0.272413i
$66$	11.0252	−	1.14056i	1.35710	−	0.140394i
$67$	0.889900	−	1.84790i	0.108719	−	0.225756i	−0.839511	−	0.543343i	$-0.817158\pi$
$67$	0.889900	−	1.84790i	0.108719	−	0.225756i	0.948229	+	0.317587i	$0.102873\pi$
$68$	−0.123015	+	2.62508i	−0.0149177	+	0.318338i
$69$	−5.14445	+	11.0853i	−0.619319	+	1.33451i
$70$	−2.02041	+	14.8069i	−0.241485	+	1.76976i
$71$	7.23645	−	3.48489i	0.858808	−	0.413580i	0.0479688	−	0.998849i	$-0.484725\pi$
$71$	7.23645	−	3.48489i	0.858808	−	0.413580i	0.810840	+	0.585269i	$0.199011\pi$
$72$	0.598183	+	8.46417i	0.0704965	+	0.997512i
$73$	−0.159629	+	0.127300i	−0.0186832	+	0.0148994i	−0.632787	−	0.774326i	$-0.718089\pi$
$73$	−0.159629	+	0.127300i	−0.0186832	+	0.0148994i	0.614104	+	0.789225i	$0.289518\pi$
$74$	−12.3418	+	3.99681i	−1.43470	+	0.464620i
$75$	−14.2656	+	11.7140i	−1.64725	+	1.35262i
$76$	−3.78632	+	0.679503i	−0.434321	+	0.0779444i
$77$	2.68899	+	11.7813i	0.306439	+	1.34260i
$78$	−0.628717	−	6.07745i	−0.0711882	−	0.688136i
$79$	4.42448	+	2.13072i	0.497792	+	0.239724i	0.665895	−	0.746045i	$-0.268050\pi$
$79$	4.42448	+	2.13072i	0.497792	+	0.239724i	−0.168103	+	0.985769i	$0.553764\pi$
$80$	11.3975	+	10.9824i	1.27428	+	1.22787i
$81$	−2.50096	−	8.64553i	−0.277885	−	0.960614i
$82$	−6.05218	−	6.34243i	−0.668351	−	0.700404i
$83$	−0.563269	−	2.46784i	−0.0618268	−	0.270881i	0.934561	−	0.355804i	$-0.115793\pi$
$83$	−0.563269	−	2.46784i	−0.0618268	−	0.270881i	−0.996388	+	0.0849226i	$0.972936\pi$
$84$	−9.08124	+	1.76412i	−0.990844	+	0.192481i
$85$	−4.06499	−	3.24172i	−0.440910	−	0.351614i
$86$	0.635581	−	4.65795i	0.0685364	−	0.502279i
$87$	−6.23633	+	6.93600i	−0.668605	+	0.743618i
$88$	11.7540	+	5.06456i	1.25298	+	0.539884i
$89$	7.19293	−	9.01965i	0.762449	−	0.956081i	−0.237433	−	0.971404i	$-0.576306\pi$
$89$	7.19293	−	9.01965i	0.762449	−	0.956081i	0.999883	+	0.0153228i	$0.00487757\pi$
$90$	−14.2607	−	8.85784i	−1.50321	−	0.933699i
$91$	6.49423	−	1.48227i	0.680781	−	0.155384i
$92$	−11.4325	+	8.27222i	−1.19192	+	0.862439i
$93$	−1.03905	−	0.221576i	−0.107745	−	0.0229764i
$94$	−1.02104	+	2.71251i	−0.105312	+	0.279774i
$95$	3.30218	−	6.85705i	0.338796	−	0.703518i
$96$	−4.16774	+	8.86735i	−0.425368	+	0.905020i
$97$	−6.23771	+	1.42372i	−0.633344	+	0.144557i	−0.527127	−	0.849786i	$-0.676731\pi$
$97$	−6.23771	+	1.42372i	−0.633344	+	0.144557i	−0.106217	+	0.994343i	$0.533874\pi$
$98$	−0.0574045	−	0.177260i	−0.00579873	−	0.0179060i
$99$	−13.3157	−	2.64110i	−1.33828	−	0.265440i
$100$	−20.9792	+	3.76498i	−2.09792	+	0.376498i
$101$	−10.2477	−	12.8502i	−1.01969	−	1.27865i	−0.959872	−	0.280437i	$-0.909520\pi$
$101$	−10.2477	−	12.8502i	−1.01969	−	1.27865i	−0.0598146	−	0.998210i	$-0.519051\pi$
$102$	1.09068	−	3.02815i	0.107993	−	0.299832i
$103$	2.59793	+	5.39466i	0.255982	+	0.531552i	0.988867	−	0.148800i	$-0.0475412\pi$
$103$	2.59793	+	5.39466i	0.255982	+	0.531552i	−0.732885	+	0.680352i	$0.761827\pi$
$104$	2.79176	−	6.47922i	0.273755	−	0.635340i
$105$	7.70467	−	16.6020i	0.751899	−	1.62019i
$106$	0.806366	+	9.05823i	0.0783212	+	0.879813i
$107$	0.895704	+	0.431348i	0.0865910	+	0.0417000i	0.476678	−	0.879078i	$-0.341841\pi$
$107$	0.895704	+	0.431348i	0.0865910	+	0.0417000i	−0.390087	+	0.920778i	$0.627555\pi$
$108$	2.35234	−	10.1226i	0.226354	−	0.974045i
$109$	−2.70643	+	11.8577i	−0.259229	+	1.13576i	0.662849	+	0.748753i	$0.269347\pi$
$109$	−2.70643	+	11.8577i	−0.259229	+	1.13576i	−0.922078	+	0.387004i	$0.873510\pi$
$110$	−21.7500	+	12.9663i	−2.07378	+	1.23629i
$111$	15.8868	−	0.227164i	1.50791	−	0.0215615i
$112$	−10.1464	−	3.34050i	−0.958743	−	0.315648i
$113$	−0.801386	+	3.51110i	−0.0753880	+	0.330297i	−0.998532	−	0.0541568i	$-0.982753\pi$
$113$	−0.801386	+	3.51110i	−0.0753880	+	0.330297i	0.923144	+	0.384453i	$0.125610\pi$
$114$	4.67673	+	0.570159i	0.438016	+	0.0534003i
$115$		−	27.9188i		−	2.60344i
$116$	−10.1943	+	3.47518i	−0.946514	+	0.322662i
$117$	−1.45586	+	7.34006i	−0.134595	+	0.678589i
$118$	13.9951	+	14.6662i	1.28835	+	1.35014i
$119$	3.42105	+	0.780833i	0.313607	+	0.0715788i
$120$	−9.37948	−	16.9646i	−0.856226	−	1.54865i
$121$	−5.90809	+	7.40851i	−0.537099	+	0.673501i
$122$	4.43290	+	7.43585i	0.401336	+	0.673210i
$123$	4.79644	+	9.60609i	0.432480	+	0.866152i
$124$	−0.922272	−	0.808936i	−0.0828224	−	0.0726446i
$125$	9.71245	−	20.1681i	0.868708	−	1.80389i
$126$	11.2653	+	1.21021i	1.00359	+	0.107814i
$127$	−15.3170	+	7.37628i	−1.35916	+	0.654539i	−0.964450	−	0.264265i	$-0.914871\pi$
$127$	−15.3170	+	7.37628i	−1.35916	+	0.654539i	−0.394714	+	0.918804i	$0.629156\pi$
$128$	−9.19809	+	6.58750i	−0.813004	+	0.582258i
$129$	−2.42373	+	5.22266i	−0.213398	+	0.459830i
$130$	7.14747	+	11.9893i	0.626875	+	1.05154i
$131$	−1.87571	+	1.49583i	−0.163882	+	0.130691i	−0.701997	−	0.712180i	$-0.747708\pi$
$131$	−1.87571	+	1.49583i	−0.163882	+	0.130691i	0.538115	+	0.842871i	$0.319137\pi$
$132$	−11.9310	−	10.1667i	−1.03846	−	0.884898i
$133$			5.13652i			0.445393i
$134$	−2.75947	+	0.893638i	−0.238382	+	0.0771986i
$135$	13.4969	+	15.5105i	1.16163	+	1.33493i
$136$	2.80592	−	2.43704i	0.240606	−	0.208975i
$137$	7.50180	+	3.61268i	0.640922	+	0.308652i	0.725971	−	0.687725i	$-0.241390\pi$
$137$	7.50180	+	3.61268i	0.640922	+	0.308652i	−0.0850493	+	0.996377i	$0.527105\pi$
$138$	16.3643	−	5.55923i	1.39303	−	0.473233i
$139$	−0.468273	+	0.373435i	−0.0397184	+	0.0316744i	−0.643148	−	0.765742i	$-0.722372\pi$
$139$	−0.468273	+	0.373435i	−0.0397184	+	0.0316744i	0.603429	+	0.797416i	$0.293801\pi$
$140$	17.1220	−	12.3890i	1.44708	−	1.04706i
$141$	2.17330	−	2.80663i	0.183025	−	0.236361i
$142$	−10.6306	−	4.00153i	−0.892098	−	0.335801i
$143$	8.82452	+	7.03732i	0.737944	+	0.588491i
$144$	8.07599	−	8.87572i	0.672999	−	0.739643i
$145$	6.25295	−	20.3705i	0.519279	−	1.69168i
$146$	0.286094	+	0.0390377i	0.0236773	+	0.00323079i
$147$	0.00326266	+	0.228175i	0.000269100	+	0.0188196i
$148$	16.1388	+	8.72521i	1.32660	+	0.717208i
$149$	10.3308	−	2.35794i	0.846332	−	0.193170i	0.222699	−	0.974887i	$-0.428513\pi$
$149$	10.3308	−	2.35794i	0.846332	−	0.193170i	0.623633	+	0.781717i	$0.285656\pi$
$150$	25.9128	+	3.15913i	2.11577	+	0.257942i
$151$	14.9139	−	11.8935i	1.21368	−	0.967876i	0.213718	−	0.976895i	$-0.431443\pi$
$151$	14.9139	−	11.8935i	1.21368	−	0.967876i	0.999959	+	0.00901968i	$0.00287109\pi$
$152$	4.39186	+	3.21052i	0.356227	+	0.260407i
$153$	−2.36864	+	3.15095i	−0.191493	+	0.254739i
$154$	9.42853	−	14.2534i	0.759773	−	1.14857i
$155$	2.36626	−	0.540083i	0.190062	−	0.0433805i
$156$	−5.60424	+	6.57677i	−0.448698	+	0.526563i
$157$		−	23.0805i		−	1.84203i	−0.389532	−	0.921013i	$-0.627363\pi$
$157$		−	23.0805i		−	1.84203i	0.389532	−	0.921013i	$-0.372637\pi$
$158$	−2.13967	−	6.60709i	−0.170223	−	0.525632i
$159$	2.32291	−	10.8930i	0.184219	−	0.863869i
$160$	0.108961	−	22.3834i	0.00861413	−	1.76956i
$161$	8.17544	+	16.9765i	0.644315	+	1.33793i
$162$	−6.40384	+	10.9996i	−0.503133	+	0.864209i
$163$	0.342900	−	0.165132i	0.0268580	−	0.0129341i	−0.420407	−	0.907336i	$-0.638113\pi$
$163$	0.342900	−	0.165132i	0.0268580	−	0.0129341i	0.447265	+	0.894402i	$0.352398\pi$
$164$	−0.580350	+	12.3844i	−0.0453177	+	0.967060i
$165$	30.1333	−	7.33253i	2.34587	−	0.570837i
$166$	−1.97502	+	2.98569i	−0.153291	+	0.231735i
$167$	−4.44087	+	19.4567i	−0.343645	+	1.50561i	0.447672	+	0.894198i	$0.352253\pi$
$167$	−4.44087	+	19.4567i	−0.343645	+	1.50561i	−0.791316	+	0.611407i	$0.790604\pi$
$168$	10.6711	+	7.56902i	0.823292	+	0.583962i
$169$	−4.22615	+	5.29943i	−0.325089	+	0.407648i
$170$	0.651982	+	7.32397i	0.0500047	+	0.561723i
$171$	−5.26824	−	2.35394i	−0.402872	−	0.180010i
$172$	−5.38625	+	3.89734i	−0.410697	+	0.297169i
$173$			10.7014i			0.813611i	0.913515	+	0.406805i	$0.133357\pi$
$173$			10.7014i			0.813611i	−0.913515	+	0.406805i	$0.866643\pi$
$174$	13.1851	−	0.391094i	0.999560	−	0.0296488i
$175$			28.4603i			2.15140i
$176$	−6.29388	−	16.9706i	−0.474419	−	1.27921i
$177$	−11.0913	−	22.2132i	−0.833672	−	1.66964i
$178$	−16.2509	+	1.44666i	−1.21806	+	0.108432i
$179$	5.03181	−	6.30969i	0.376095	−	0.471608i	−0.557377	−	0.830260i	$-0.688192\pi$
$179$	5.03181	−	6.30969i	0.376095	−	0.471608i	0.933471	+	0.358652i	$0.116763\pi$
$180$	4.86014	+	23.2387i	0.362253	+	1.73211i
$181$	2.83563	−	12.4237i	0.210771	−	0.923448i	−0.753274	−	0.657707i	$-0.771526\pi$
$181$	2.83563	−	12.4237i	0.210771	−	0.923448i	0.964045	−	0.265741i	$-0.0856165\pi$
$182$	−7.85698	−	5.19733i	−0.582398	−	0.385252i
$183$	−2.50683	−	10.3019i	−0.185310	−	0.761540i
$184$	19.6253	+	3.62071i	1.44680	+	0.266922i
$185$	−32.7029	+	15.7489i	−2.40437	+	1.15788i
$186$	0.787738	+	1.27942i	0.0577597	+	0.0938116i
$187$	2.57978	+	5.35698i	0.188653	+	0.391741i
$188$	3.77213	−	1.60361i	0.275111	−	0.116955i
$189$	−12.7490	−	5.47914i	−0.927351	−	0.398549i
$190$	−10.2397	+	3.31605i	−0.742863	+	0.240572i
$191$		−	8.64976i		−	0.625874i	−0.949774	−	0.312937i	$-0.898687\pi$
$191$		−	8.64976i		−	0.625874i	0.949774	−	0.312937i	$-0.101313\pi$
$192$	13.1415	−	4.39315i	0.948409	−	0.317048i
$193$	15.4628	−	3.52928i	1.11304	−	0.254043i	0.373813	−	0.927504i	$-0.378050\pi$
$193$	15.4628	−	3.52928i	1.11304	−	0.254043i	0.739223	+	0.673461i	$0.235193\pi$
$194$	7.54663	+	4.99204i	0.541816	+	0.358408i
$195$	−4.04194	−	16.6105i	−0.289450	−	1.18950i
$196$	−0.125316	+	0.231794i	−0.00895117	+	0.0165567i
$197$	10.6573	−	8.49890i	0.759300	−	0.605522i	−0.165396	−	0.986227i	$-0.552890\pi$
$197$	10.6573	−	8.49890i	0.759300	−	0.605522i	0.924696	+	0.380706i	$0.124319\pi$
$198$	10.2981	+	16.2023i	0.731853	+	1.15145i
$199$	−1.39696	+	0.318846i	−0.0990276	+	0.0226024i	−0.271748	−	0.962369i	$-0.587602\pi$
$199$	−1.39696	+	0.318846i	−0.0990276	+	0.0226024i	0.172720	+	0.984971i	$0.444744\pi$
$200$	24.3344	+	17.7888i	1.72070	+	1.25786i
$201$	3.55209	−	0.0507911i	0.250545	−	0.00358253i
$202$	−3.14256	+	23.0307i	−0.221110	+	1.62044i
$203$	2.16288	+	14.2177i	0.151804	+	0.997886i
$204$	−4.16306	+	1.84051i	−0.291473	+	0.128862i
$205$	−19.1775	−	15.2935i	−1.33941	−	1.06815i
$206$	2.98308	−	7.92493i	0.207841	−	0.552156i
$207$	−21.1584	+	0.605209i	−1.47061	+	0.0420649i
$208$	−9.35477	+	3.46940i	−0.648637	+	0.240560i
$209$	−6.80463	+	5.42651i	−0.470686	+	0.375360i
$210$	−24.5083	+	8.32586i	−1.69124	+	0.574539i
$211$	−12.2208	−	5.88524i	−0.841317	−	0.405157i	−0.0369698	−	0.999316i	$-0.511771\pi$
$211$	−12.2208	−	5.88524i	−0.841317	−	0.405157i	−0.804347	+	0.594159i	$0.797485\pi$
$212$	8.48055	−	9.66871i	0.582446	−	0.664050i
$213$	10.9994	+	8.51733i	0.753667	+	0.583598i
$214$	−0.433160	−	1.33756i	−0.0296102	−	0.0914337i
$215$		−	13.1535i		−	0.897063i
$216$	−12.6534	+	7.47605i	−0.860955	+	0.508681i
$217$	−1.28069	+	1.02132i	−0.0869389	+	0.0693315i
$218$	14.7743	−	8.80775i	1.00064	−	0.596536i
$219$	−0.320779	−	0.148867i	−0.0216762	−	0.0100595i
$220$	34.5011	+	9.59405i	2.32607	+	0.646830i
$221$	2.95295	−	1.42207i	0.198637	−	0.0956585i
$222$	−15.7429	−	16.0326i	−1.05660	−	1.07604i
$223$	−6.13106	+	12.7313i	−0.410566	+	0.852549i	0.588465	+	0.808523i	$0.299733\pi$
$223$	−6.13106	+	12.7313i	−0.410566	+	0.852549i	−0.999030	+	0.0440258i	$0.985982\pi$
$224$	6.48827	+	13.6425i	0.433516	+	0.911529i
$225$	−29.1902	−	13.0426i	−1.94601	−	0.869509i
$226$	4.37474	−	2.60801i	0.291004	−	0.173482i
$227$	−0.216297	+	0.271228i	−0.0143562	+	0.0180021i	−0.788958	−	0.614447i	$-0.789379\pi$
$227$	−0.216297	+	0.271228i	−0.0143562	+	0.0180021i	0.774602	+	0.632450i	$0.217950\pi$
$228$	−3.98261	−	5.34160i	−0.263755	−	0.353756i
$229$	−2.93528	−	0.669959i	−0.193969	−	0.0442721i	0.124433	−	0.992228i	$-0.460289\pi$
$229$	−2.93528	−	0.669959i	−0.193969	−	0.0442721i	−0.318402	+	0.947956i	$0.603146\pi$
$230$	−28.5647	+	27.2575i	−1.88350	+	1.79731i
$231$	−16.1759	+	13.2826i	−1.06429	+	0.873930i
$232$	13.5084	+	7.03727i	0.886870	+	0.462019i
$233$		−	10.6981i		−	0.700855i	−0.936590	−	0.350427i	$-0.886036\pi$
$233$		−	10.6981i		−	0.700855i	0.936590	−	0.350427i	$-0.113964\pi$
$234$	8.93127	−	5.67666i	0.583855	−	0.371095i
$235$	−1.80451	+	7.90606i	−0.117713	+	0.515735i
$236$	1.34200	−	28.6377i	0.0873569	−	1.86416i
$237$	0.121611	+	8.50488i	0.00789946	+	0.552451i
$238$	−2.54112	−	4.26255i	−0.164717	−	0.276300i
$239$	0.995727	−	4.36257i	0.0644082	−	0.282191i	−0.932460	−	0.361274i	$-0.882342\pi$
$239$	0.995727	−	4.36257i	0.0644082	−	0.282191i	0.996868	+	0.0790828i	$0.0251991\pi$
$240$	−8.19978	+	26.1593i	−0.529294	+	1.68857i
$241$	4.54629	+	2.18938i	0.292853	+	0.141030i	0.574542	−	0.818475i	$-0.305180\pi$
$241$	4.54629	+	2.18938i	0.292853	+	0.141030i	−0.281689	+	0.959506i	$0.590895\pi$
$242$	13.3481	−	1.18825i	0.858047	−	0.0763836i
$243$	11.4622	−	10.5650i	0.735299	−	0.677743i
$244$	3.28000	−	11.7952i	0.209980	−	0.755110i
$245$	−0.226195	−	0.469698i	−0.0144510	−	0.0300079i
$246$	5.14552	−	14.2860i	0.328067	−	0.910841i
$247$	2.99128	+	3.75095i	0.190331	+	0.238667i
$248$	0.0727742	+	1.73339i	0.00462116	+	0.110070i
$249$	3.38839	−	2.78233i	0.214731	−	0.176323i
$250$	−30.1172	+	9.75325i	−1.90478	+	0.616850i
$251$	−0.401480	+	0.0916351i	−0.0253412	+	0.00578396i	−0.235173	−	0.971954i	$-0.575566\pi$
$251$	−0.401480	+	0.0916351i	−0.0253412	+	0.00578396i	0.209832	+	0.977738i	$0.432708\pi$
$252$	−9.76027	−	12.7075i	−0.614839	−	0.800496i
$253$	−13.8527	+	28.7654i	−0.870911	+	1.80847i
$254$	22.5012	+	8.46983i	1.41185	+	0.531444i
$255$	1.87817	−	8.80744i	0.117616	−	0.551543i
$256$	15.7201	+	2.97944i	0.982509	+	0.186215i
$257$	22.5645	−	5.15021i	1.40754	−	0.321261i	0.549777	−	0.835311i	$-0.314713\pi$
$257$	22.5645	−	5.15021i	1.40754	−	0.321261i	0.857760	+	0.514050i	$0.171855\pi$
$258$	7.70982	−	2.61915i	0.479993	−	0.163061i
$259$	15.2738	−	19.1528i	0.949068	−	1.19009i
$260$	5.28857	−	19.0182i	0.327983	−	1.17946i
$261$	−15.5735	−	4.29726i	−0.963975	−	0.265994i
$262$	3.36172	+	0.458709i	0.207688	+	0.0283392i
$263$	−9.28357	−	7.40340i	−0.572450	−	0.456513i	0.293981	−	0.955811i	$-0.405020\pi$
$263$	−9.28357	−	7.40340i	−0.572450	−	0.456513i	−0.866430	+	0.499298i	$0.833591\pi$
$264$	1.24645	+	22.1329i	0.0767137	+	1.36219i
$265$	5.66200	+	24.8068i	0.347814	+	1.52387i
$266$	5.25536	−	5.01486i	0.322227	−	0.307481i
$267$	19.5425	+	4.16741i	1.19598	+	0.255042i
$268$	3.60843	+	1.95085i	0.220420	+	0.119167i
$269$	−17.4166	−	8.38741i	−1.06191	−	0.511390i	−0.180420	−	0.983590i	$-0.557746\pi$
$269$	−17.4166	−	8.38741i	−1.06191	−	0.511390i	−0.881491	+	0.472200i	$0.843460\pi$
$270$	2.69217	−	28.9524i	0.163840	−	1.76198i
$271$	−4.18055	−	18.3162i	−0.253951	−	1.11263i	−0.927599	−	0.373578i	$-0.878131\pi$
$271$	−4.18055	−	18.3162i	−0.253951	−	1.11263i	0.673648	−	0.739052i	$-0.264726\pi$
$272$	−5.23289	−	0.491520i	−0.317291	−	0.0298028i
$273$	7.32182	+	8.91670i	0.443137	+	0.539663i
$274$	−3.62785	−	11.2025i	−0.219167	−	0.676767i
$275$	−37.7030	+	30.0671i	−2.27358	+	1.81312i
$276$	−21.6646	−	11.3154i	−1.30406	−	0.681108i
$277$	13.6688	−	6.58256i	0.821281	−	0.395508i	0.0244429	−	0.999701i	$-0.492219\pi$
$277$	13.6688	−	6.58256i	0.821281	−	0.395508i	0.796838	+	0.604193i	$0.206505\pi$
$278$	0.839257	+	0.114517i	0.0503353	+	0.00686829i
$279$	−0.460600	−	1.78158i	−0.0275754	−	0.106660i
$280$	−29.3922	−	5.42261i	−1.75652	−	0.324063i
$281$	−7.44467	+	15.4590i	−0.444112	+	0.922208i	0.551978	+	0.833859i	$0.313873\pi$
$281$	−7.44467	+	15.4590i	−0.444112	+	0.922208i	−0.996090	+	0.0883488i	$0.971841\pi$
$282$	−4.99339	+	0.516570i	−0.297352	+	0.0307613i
$283$	−0.461342	−	0.105298i	−0.0274239	−	0.00625933i	0.208787	−	0.977961i	$-0.433048\pi$
$283$	−0.461342	−	0.105298i	−0.0274239	−	0.00625933i	−0.236211	+	0.971702i	$0.575906\pi$
$284$	6.28466	+	14.7833i	0.372926	+	0.877227i
$285$	13.1809	−	0.188472i	0.780766	−	0.0111641i
$286$	−1.41536	−	15.8993i	−0.0836922	−	0.940148i
$287$	16.1396	+	3.68375i	0.952689	+	0.217445i
$288$	−16.9658	+	0.402640i	−0.999719	+	0.0237258i
$289$	−15.2735			−0.898438
$290$	−26.9467	+	13.4904i	−1.58236	+	0.792184i
$291$	−7.03261	−	8.56449i	−0.412259	−	0.502059i
$292$	−0.239377	−	0.330827i	−0.0140085	−	0.0193602i
$293$	−3.07642	+	13.4787i	−0.179726	+	0.787432i	0.802029	+	0.597285i	$0.203754\pi$
$293$	−3.07642	+	13.4787i	−0.179726	+	0.787432i	−0.981756	+	0.190148i	$0.939103\pi$
$294$	0.230269	−	0.226109i	0.0134296	−	0.0131869i
$295$	44.3460	+	35.3648i	2.58193	+	2.05902i
$296$	−6.82943	−	25.0307i	−0.396952	−	1.45488i
$297$	−6.21022	−	22.6778i	−0.360354	−	1.31590i
$298$	−12.4986	−	8.26774i	−0.724025	−	0.478937i
$299$	15.8565	+	7.63608i	0.917004	+	0.441606i
$300$	−22.0668	−	29.5966i	−1.27403	−	1.70876i
$301$	3.85174	+	7.99822i	0.222011	+	0.461010i
$302$	−26.7293	−	3.64724i	−1.53810	−	0.209875i
$303$	11.9839	−	25.8229i	0.688456	−	1.48349i
$304$	−1.00304	−	7.62795i	−0.0575284	−	0.437493i
$305$	15.1020	+	18.9373i	0.864739	+	1.08435i
$306$	5.53639	−	0.652874i	0.316494	−	0.0373223i
$307$	−11.7035			−0.667951			−0.333976	−	0.942582i	$-0.608390\pi$
$307$	−11.7035			−0.667951			−0.333976	+	0.942582i	$0.608390\pi$
$308$	−23.7884	+	4.26913i	−1.35547	+	0.243256i
$309$	−6.34954	+	8.19989i	−0.361213	+	0.466475i
$310$	−2.86279	−	1.89372i	−0.162596	−	0.107556i
$311$	5.55476	−	11.5346i	0.314982	−	0.654066i	−0.682029	−	0.731325i	$-0.738902\pi$
$311$	5.55476	−	11.5346i	0.314982	−	0.654066i	0.997011	+	0.0772586i	$0.0246167\pi$
$312$	12.2004	−	0.687086i	0.690714	−	0.0388986i
$313$	1.68219	+	2.10940i	0.0950829	+	0.119230i	0.827097	−	0.562060i	$-0.189991\pi$
$313$	1.68219	+	2.10940i	0.0950829	+	0.119230i	−0.732014	+	0.681290i	$0.761419\pi$
$314$	−23.6145	+	22.5338i	−1.33265	+	1.27166i
$315$	31.6883	−	0.906401i	1.78543	−	0.0510699i
$316$	−4.67098	+	8.63977i	−0.262763	+	0.486025i
$317$	−9.54548	+	11.9697i	−0.536128	+	0.672283i	−0.973946	−	0.226781i	$-0.927180\pi$
$317$	−9.54548	+	11.9697i	−0.536128	+	0.672283i	0.437818	+	0.899063i	$0.355751\pi$
$318$	−13.4129	+	8.25831i	−0.752158	+	0.463103i
$319$	−16.5500	+	17.8857i	−0.926621	+	1.00141i
$320$	−23.0077	+	21.7418i	−1.28617	+	1.21540i
$321$	0.0246192	+	1.72175i	0.00137411	+	0.0960989i
$322$	9.38747	−	24.9390i	0.523143	−	1.38980i
$323$	0.562381	+	2.46395i	0.0312917	+	0.137098i
$324$	17.5062	−	4.18705i	0.972569	−	0.232614i
$325$	16.5740	+	20.7832i	0.919362	+	1.15284i
$326$	−0.503731	−	0.189613i	−0.0278991	−	0.0105017i
$327$	−20.4689	+	4.98084i	−1.13194	+	0.275441i
$328$	13.2376	−	11.4973i	0.730922	−	0.634832i
$329$	−1.21787	−	5.33583i	−0.0671432	−	0.294174i
$330$	−36.9218	−	23.6716i	−2.03248	−	1.30308i
$331$	−16.9026			−0.929053			−0.464526	−	0.885559i	$-0.653775\pi$
$331$	−16.9026			−0.929053			−0.464526	+	0.885559i	$0.653775\pi$
$332$	4.98301	−	0.894265i	0.273478	−	0.0490791i
$333$	12.6443	+	24.4427i	0.692904	+	1.33945i
$334$	24.2426	−	14.4522i	1.32649	−	0.790792i
$335$	−7.31196	+	3.52126i	−0.399495	+	0.192387i
$336$	−2.67419	−	18.3077i	−0.145889	−	0.998768i
$337$	10.6752	+	22.1673i	0.581517	+	1.20753i	0.959497	+	0.281718i	$0.0909043\pi$
$337$	10.6752	+	22.1673i	0.581517	+	1.20753i	−0.377981	+	0.925813i	$0.623381\pi$
$338$	9.54809	−	0.849974i	0.519348	−	0.0462325i
$339$	−6.06094	+	1.47485i	−0.329185	+	0.0801027i
$340$	6.85689	−	7.81757i	0.371867	−	0.423967i
$341$	−2.70599	−	0.617625i	−0.146538	−	0.0334463i
$342$	2.73506	+	7.68831i	0.147895	+	0.415736i
$343$	−14.3403	−	11.4360i	−0.774302	−	0.617485i
$344$	9.24618	+	1.70584i	0.498521	+	0.0919730i
$345$	43.2635	−	21.6020i	2.32923	−	1.16301i
$346$	10.9490	−	10.4479i	0.588621	−	0.561683i
$347$	13.0813			0.702240			0.351120	−	0.936330i	$-0.385801\pi$
$347$	13.0813			0.702240			0.351120	+	0.936330i	$0.385801\pi$
$348$	−13.2730	−	13.1083i	−0.711505	−	0.702681i
$349$	6.46964			0.346312			0.173156	−	0.984894i	$-0.444604\pi$
$349$	6.46964			0.346312			0.173156	+	0.984894i	$0.444604\pi$
$350$	29.1188	−	27.7862i	1.55647	−	1.48524i
$351$	−12.5008	+	3.42329i	−0.667241	+	0.182722i
$352$	−11.2184	+	23.0081i	−0.597944	+	1.22634i
$353$	−1.91879	−	1.53019i	−0.102127	−	0.0814437i	0.571095	−	0.820884i	$-0.306519\pi$
$353$	−1.91879	−	1.53019i	−0.102127	−	0.0814437i	−0.673222	+	0.739440i	$0.735090\pi$
$354$	−11.8985	+	33.0349i	−0.632399	+	1.75579i
$355$	−30.9845	−	7.07201i	−1.64449	−	0.375343i
$356$	17.3461	+	15.2145i	0.919343	+	0.806368i
$357$	1.43702	+	5.90550i	0.0760553	+	0.312552i
$358$	−11.3683	+	1.01201i	−0.600833	+	0.0534863i
$359$	−13.6784	−	28.4035i	−0.721919	−	1.49908i	−0.860894	−	0.508784i	$-0.830095\pi$
$359$	−13.6784	−	28.4035i	−0.721919	−	1.49908i	0.138975	−	0.990296i	$-0.455619\pi$
$360$	19.0314	−	27.6609i	1.00304	−	1.45786i
$361$	13.7853	−	6.63864i	0.725541	−	0.349402i
$362$	−15.4796	+	9.22822i	−0.813592	+	0.485024i
$363$	−16.0517	−	3.42301i	−0.842497	−	0.179661i
$364$	2.35329	+	13.1130i	0.123346	+	0.687308i
$365$	0.807897			0.0422873
$366$	−8.09282	+	12.6227i	−0.423018	+	0.659802i
$367$	−2.55180	−	11.1802i	−0.133203	−	0.583600i	−0.996836	−	0.0794798i	$-0.974674\pi$
$367$	−2.55180	−	11.1802i	−0.133203	−	0.583600i	0.863634	−	0.504120i	$-0.168183\pi$
$368$	−15.4560	−	23.6143i	−0.805700	−	1.23098i
$369$	−11.1746	+	14.8653i	−0.581726	+	0.773857i
$370$	48.0416	+	18.0837i	2.49756	+	0.940126i
$371$	−10.7071	−	13.4262i	−0.555882	−	0.697055i
$372$	0.539942	−	2.05508i	0.0279947	−	0.106551i
$373$	−0.789206	−	3.45774i	−0.0408635	−	0.179035i	0.950378	−	0.311098i	$-0.100697\pi$
$373$	−0.789206	−	3.45774i	−0.0408635	−	0.179035i	−0.991241	+	0.132064i	$0.957840\pi$
$374$	2.96224	−	7.86957i	0.153174	−	0.406926i
$375$	38.7679	−	0.554339i	2.00196	−	0.0286259i
$376$	−5.32349	−	2.29378i	−0.274538	−	0.118293i
$377$	9.85920	+	9.12292i	0.507775	+	0.469854i
$378$	6.84109	+	18.3933i	0.351868	+	0.946050i
$379$	20.7427	−	26.0105i	1.06548	−	1.33607i	0.126550	−	0.991960i	$-0.459610\pi$
$379$	20.7427	−	26.0105i	1.06548	−	1.33607i	0.938930	−	0.344109i	$-0.111819\pi$
$380$	13.3899	+	7.23908i	0.686888	+	0.371357i
$381$	−23.2819	−	18.0282i	−1.19277	−	0.923612i
$382$	−8.84989	+	8.44488i	−0.452800	+	0.432078i
$383$	12.4521	+	15.6145i	0.636274	+	0.797862i	0.990531	−	0.137286i	$-0.0438378\pi$
$383$	12.4521	+	15.6145i	0.636274	+	0.797862i	−0.354258	+	0.935148i	$0.615266\pi$
$384$	−17.3251	−	9.15651i	−0.884117	−	0.467266i
$385$	20.7467	−	43.0810i	1.05735	−	2.19561i
$386$	−18.7075	−	12.3749i	−0.952185	−	0.629864i
$387$	−9.96848	+	0.285135i	−0.506726	+	0.0144942i
$388$	−2.26034	−	12.5950i	−0.114751	−	0.639416i
$389$	−4.99316			−0.253163			−0.126582	−	0.991956i	$-0.540401\pi$
$389$	−4.99316			−0.253163			−0.126582	+	0.991956i	$0.540401\pi$
$390$	−13.0486	+	20.3525i	−0.660743	+	1.03059i
$391$	5.78041	+	7.24840i	0.292328	+	0.366567i
$392$	0.359506	−	0.0980881i	0.0181578	−	0.00495420i
$393$	−3.76928	−	1.74925i	−0.190135	−	0.0882380i
$394$	−19.1004	−	2.60627i	−0.962264	−	0.131302i
$395$	−8.43106	−	17.5073i	−0.424212	−	0.880886i
$396$	6.52301	−	26.3549i	0.327794	−	1.32438i
$397$	11.8739	+	5.71816i	0.595933	+	0.286986i	0.707435	−	0.706778i	$-0.249852\pi$
$397$	11.8739	+	5.71816i	0.595933	+	0.286986i	−0.111503	+	0.993764i	$0.535566\pi$
$398$	1.69009	+	1.11798i	0.0847166	+	0.0560394i
$399$	−7.95965	+	3.97435i	−0.398481	+	0.198966i
$400$	−5.55764	−	42.2648i	−0.277882	−	2.11324i
$401$	−14.9183	−	11.8969i	−0.744984	−	0.594105i	0.175686	−	0.984446i	$-0.443786\pi$
$401$	−14.9183	−	11.8969i	−0.744984	−	0.594105i	−0.920670	+	0.390341i	$0.872357\pi$
$402$	−3.51992	−	3.58469i	−0.175558	−	0.178788i
$403$	−0.340456	+	1.49164i	−0.0169593	+	0.0743037i
$404$	26.6317	−	19.2699i	1.32498	−	0.958716i
$405$	−13.5923	+	32.9163i	−0.675406	+	1.63562i
$406$	12.4350	−	16.0939i	0.617139	−	0.798725i
$407$	41.5089			2.05752
$408$	5.94755	+	2.46246i	0.294448	+	0.121910i
$409$	24.3789	+	5.56433i	1.20546	+	0.275138i	0.777630	−	0.628722i	$-0.216421\pi$
$409$	24.3789	+	5.56433i	1.20546	+	0.275138i	0.427829	+	0.903860i	$0.359279\pi$
$410$	3.07587	+	34.5525i	0.151906	+	1.70643i
$411$	0.206194	+	14.4202i	0.0101708	+	0.711297i
$412$	−11.0207	+	4.68512i	−0.542951	+	0.230819i
$413$	−37.3212	−	8.51832i	−1.83646	−	0.419159i
$414$	21.2765	+	21.0571i	1.04568	+	1.03490i
$415$	−4.34586	+	9.02426i	−0.213330	+	0.442984i
$416$	12.6829	+	6.18399i	0.621829	+	0.303195i
$417$	−0.941006	−	0.436702i	−0.0460813	−	0.0213854i
$418$	12.1955	+	1.66409i	0.596503	+	0.0813933i
$419$	12.6290	−	6.08183i	0.616969	−	0.297117i	−0.0991739	−	0.995070i	$-0.531620\pi$
$419$	12.6290	−	6.08183i	0.616969	−	0.297117i	0.716143	+	0.697953i	$0.245906\pi$
$420$	32.4463	+	16.9467i	1.58322	+	0.826915i
$421$	−10.3060	+	8.21879i	−0.502286	+	0.400560i	−0.841590	−	0.540117i	$-0.818380\pi$
$421$	−10.3060	+	8.21879i	−0.502286	+	0.400560i	0.339304	+	0.940677i	$0.389808\pi$
$422$	5.90997	+	18.2494i	0.287693	+	0.888369i
$423$	6.03078	+	1.19617i	0.293227	+	0.0581600i
$424$	−18.1721	+	0.762934i	−0.882515	+	0.0370513i
$425$	3.11603	+	13.6522i	0.151150	+	0.662230i
$426$	−2.02448	−	19.5695i	−0.0980864	−	0.948145i
$427$	−14.7284	−	7.09284i	−0.712759	−	0.343247i
$428$	−0.945607	+	1.74906i	−0.0457076	+	0.0845441i
$429$	−4.07726	+	19.1197i	−0.196852	+	0.923110i
$430$	−13.4579	+	12.8420i	−0.648996	+	0.619295i
$431$	−0.207719	−	0.910076i	−0.0100055	−	0.0438368i	0.969679	−	0.244383i	$-0.0785854\pi$
$431$	−0.207719	−	0.910076i	−0.0100055	−	0.0438368i	−0.979684	+	0.200546i	$0.935728\pi$
$432$	20.0027	+	5.64719i	0.962382	+	0.271701i
$433$	−31.4691	−	25.0957i	−1.51231	−	1.20602i	−0.914633	−	0.404284i	$-0.867521\pi$
$433$	−31.4691	−	25.0957i	−1.51231	−	1.20602i	−0.597673	−	0.801740i	$-0.703908\pi$
$434$	2.29530	+	0.313196i	0.110178	+	0.0150339i
$435$	36.4048	−	6.07186i	1.74547	−	0.291124i
$436$	−23.4359	−	6.51705i	−1.12238	−	0.312110i
$437$	−8.46135	+	10.6102i	−0.404761	+	0.507555i
$438$	0.160870	+	0.473542i	0.00768665	+	0.0226267i
$439$	5.09874	−	1.16375i	0.243350	−	0.0555430i	−0.0991063	−	0.995077i	$-0.531598\pi$
$439$	5.09874	−	1.16375i	0.243350	−	0.0555430i	0.342456	+	0.939534i	$0.388741\pi$
$440$	−23.8679	−	44.6662i	−1.13786	−	2.12938i
$441$	−0.351060	+	0.181605i	−0.0167172	+	0.00864785i
$442$	−4.33798	−	1.63289i	−0.206337	−	0.0776687i
$443$	−14.6962	+	30.5170i	−0.698239	+	1.44991i	0.185844	+	0.982579i	$0.440498\pi$
$443$	−14.6962	+	30.5170i	−0.698239	+	1.44991i	−0.884083	+	0.467329i	$0.845216\pi$
$444$	−1.03349	+	31.7600i	−0.0490472	+	1.50726i
$445$	−44.5047	+	10.1579i	−2.10972	+	0.481531i
$446$	19.0117	−	6.15681i	0.900229	−	0.291533i
$447$	11.6473	+	14.1844i	0.550898	+	0.670898i
$448$	7.62358	−	19.9578i	0.360180	−	0.942917i
$449$	−2.23123	−	2.79787i	−0.105298	−	0.132040i	0.726390	−	0.687283i	$-0.241197\pi$
$449$	−2.23123	−	2.79787i	−0.105298	−	0.132040i	−0.831688	+	0.555243i	$0.812625\pi$
$450$	15.1544	+	42.5993i	0.714384	+	2.00815i
$451$	12.1707	+	25.2727i	0.573096	+	1.19005i
$452$	−6.93948	−	1.92972i	−0.326406	−	0.0907666i
$453$	29.9699	+	13.9084i	1.40811	+	0.653475i
$454$	0.488678	−	0.0435023i	0.0229348	−	0.00204166i
$455$	−23.7477	−	11.4363i	−1.11331	−	0.536142i
$456$	−1.57690	+	9.28984i	−0.0738453	+	0.435036i
$457$	6.27374	−	27.4870i	0.293473	−	1.28579i	−0.586183	−	0.810179i	$-0.699370\pi$
$457$	6.27374	−	27.4870i	0.293473	−	1.28579i	0.879656	−	0.475611i	$-0.157773\pi$
$458$	2.18030	+	3.65729i	0.101879	+	0.170894i
$459$	−6.71549	−	1.23246i	−0.313452	−	0.0575265i
$460$	55.7763	+	2.61375i	2.60059	+	0.121867i
$461$	6.68822	−	29.3030i	0.311501	−	1.36478i	−0.540547	−	0.841314i	$-0.681783\pi$
$461$	6.68822	−	29.3030i	0.311501	−	1.36478i	0.852048	−	0.523463i	$-0.175360\pi$
$462$	29.3826	+	3.58216i	1.36700	+	0.166657i
$463$		−	9.62914i		−	0.447504i	−0.974646	−	0.223752i	$-0.928169\pi$
$463$		−	9.62914i		−	0.447504i	0.974646	−	0.223752i	$-0.0718306\pi$
$464$	−5.98835	−	20.6915i	−0.278002	−	0.960580i
$465$	2.66780	+	3.24891i	0.123716	+	0.150665i
$466$	−10.9456	+	10.4447i	−0.507046	+	0.483841i
$467$	1.21237	+	0.276716i	0.0561019	+	0.0128049i	0.250480	−	0.968122i	$-0.419412\pi$
$467$	1.21237	+	0.276716i	0.0561019	+	0.0128049i	−0.194378	+	0.980927i	$0.562269\pi$
$468$	−14.5277	−	3.59571i	−0.671545	−	0.166212i
$469$	3.41503	−	4.28232i	0.157692	−	0.197739i
$470$	9.85075	−	5.87255i	0.454381	−	0.270880i
$471$	35.7660	−	17.8584i	1.64801	−	0.822872i
$472$	−30.6106	+	26.5864i	−1.40897	+	1.22374i
$473$	−6.52649	+	13.5524i	−0.300088	+	0.623140i
$474$	8.58293	−	8.42786i	0.394227	−	0.387105i
$475$	−18.4681	+	8.89377i	−0.847375	+	0.408074i
$476$	−1.88023	+	6.76150i	−0.0861803	+	0.309913i
$477$	18.6773	−	4.82874i	0.855175	−	0.221093i
$478$	−5.43565	+	3.24047i	−0.248621	+	0.148216i
$479$	15.9536	−	12.7226i	0.728939	−	0.581310i	−0.187128	−	0.982336i	$-0.559918\pi$
$479$	15.9536	−	12.7226i	0.728939	−	0.581310i	0.916067	+	0.401026i	$0.131346\pi$
$480$	34.7701	−	17.1502i	1.58703	−	0.782795i
$481$		−	22.8811i		−	1.04329i
$482$	−2.19858	−	6.78901i	−0.100142	−	0.309231i
$483$	−19.9814	+	25.8043i	−0.909185	+	1.17413i
$484$	−14.2477	−	12.4968i	−0.647621	−	0.568037i
$485$	22.8097	+	10.9846i	1.03573	+	0.498783i
$486$	−22.0001	−	1.41266i	−0.997945	−	0.0640796i
$487$	−26.9006	+	21.4525i	−1.21898	+	0.972108i	−0.999993	−	0.00361904i	$-0.998848\pi$
$487$	−26.9006	+	21.4525i	−1.21898	+	0.972108i	−0.218991	+	0.975727i	$0.570277\pi$
$488$	−15.2704	+	8.15993i	−0.691259	+	0.369383i
$489$	0.521209	+	0.403595i	0.0235699	+	0.0182512i
$490$	−0.259728	+	0.690001i	−0.0117333	+	0.0311711i
$491$	−14.4778	−	11.5457i	−0.653375	−	0.521049i	0.239763	−	0.970831i	$-0.422930\pi$
$491$	−14.4778	−	11.5457i	−0.653375	−	0.521049i	−0.893138	+	0.449782i	$0.851502\pi$
$492$	−19.6402	+	8.68304i	−0.885447	+	0.391461i
$493$	2.59417	+	6.58332i	0.116835	+	0.296498i
$494$	0.917304	−	6.72260i	0.0412714	−	0.302464i
$495$	34.6781	+	41.0216i	1.55866	+	1.84379i
$496$	1.70244	−	1.76679i	0.0764419	−	0.0793312i
$497$	20.9115	−	4.77292i	0.938011	−	0.214095i
$498$	−6.15485	−	0.750362i	−0.275805	−	0.0336245i
$499$	−28.0870	+	22.3986i	−1.25735	+	1.00270i	−0.258014	+	0.966141i	$0.583068\pi$
$499$	−28.0870	+	22.3986i	−1.25735	+	1.00270i	−0.999332	+	0.0365583i	$0.988361\pi$
$500$	39.3827	+	21.2918i	1.76125	+	0.952196i
$501$	−33.5866	+	8.17284i	−1.50054	+	0.365136i
$502$	0.485726	+	0.321304i	0.0216790	+	0.0143405i
$503$	−12.1238	+	2.76717i	−0.540572	+	0.123382i	−0.484085	−	0.875021i	$-0.660847\pi$
$503$	−12.1238	+	2.76717i	−0.540572	+	0.123382i	−0.0564877	+	0.998403i	$0.517990\pi$
$504$	−3.47241	+	22.3926i	−0.154674	+	0.997446i
$505$			65.0361i			2.89407i
$506$	42.9555	−	13.9109i	1.90961	−	0.618414i
$507$	−11.4821	−	2.44853i	−0.509936	−	0.108743i
$508$	−13.3024	−	31.2910i	−0.590199	−	1.38831i
$509$	−18.6506	−	38.7284i	−0.826673	−	1.71660i	−0.687312	−	0.726362i	$-0.741209\pi$
$509$	−18.6506	−	38.7284i	−0.826673	−	1.71660i	−0.139361	−	0.990242i	$-0.544505\pi$
$510$	−10.8449	+	6.67720i	−0.480221	+	0.295671i
$511$	−0.491255	+	0.236576i	−0.0217319	+	0.0104655i
$512$	−12.2994	−	18.9927i	−0.543563	−	0.839368i
$513$	−0.428563	−	9.98511i	−0.0189215	−	0.440853i
$514$	−27.2995	−	18.0584i	−1.20413	−	0.796522i
$515$	5.27208	−	23.0985i	0.232315	−	1.01784i
$516$	−10.2070	−	5.33110i	−0.449336	−	0.234688i
$517$	5.78204	−	7.25045i	0.254294	−	0.318875i
$518$	−34.5079	+	3.07191i	−1.51619	+	0.134972i
$519$	−16.5831	+	8.28012i	−0.727916	+	0.363457i
$520$	−24.6216	+	13.1568i	−1.07973	+	0.576965i
$521$			8.98409i			0.393600i	0.980444	+	0.196800i	$0.0630550\pi$
$521$			8.98409i			0.393600i	−0.980444	+	0.196800i	$0.936945\pi$
$522$	10.8079	+	20.1293i	0.473051	+	0.881035i
$523$			14.4510i			0.631899i	0.948776	+	0.315949i	$0.102323\pi$
$523$			14.4510i			0.631899i	−0.948776	+	0.315949i	$0.897677\pi$
$524$	−2.81277	−	3.88735i	−0.122877	−	0.169820i
$525$	−44.1027	+	22.0210i	−1.92480	+	0.961075i
$526$	1.48899	+	16.7264i	0.0649231	+	0.729307i
$527$	−0.502518	+	0.630137i	−0.0218900	+	0.0274492i
$528$	21.4281	−	22.8840i	0.932538	−	0.995898i
$529$	−5.95974	+	26.1113i	−0.259119	+	1.13527i
$530$	19.8529	−	30.0123i	0.862356	−	1.30365i
$531$	25.8401	−	34.3746i	1.12137	−	1.49173i
$532$	−10.2618	−	0.480880i	−0.444904	−	0.0208488i
$533$	13.9312	−	6.70892i	0.603428	−	0.290595i
$534$	−14.8158	−	24.0634i	−0.641142	−	1.04132i
$535$	−1.70681	−	3.54422i	−0.0737918	−	0.153230i
$536$	−1.52698	−	5.59656i	−0.0659553	−	0.241735i
$537$	13.6709	+	2.91531i	0.589945	+	0.125805i
$538$	8.42265	+	26.0084i	0.363126	+	1.12130i
$539$			0.596174i			0.0256790i
$540$	−32.2506	+	25.5122i	−1.38785	+	1.09787i
$541$	−7.65478	+	1.74715i	−0.329105	+	0.0751160i	−0.383881	−	0.923383i	$-0.625413\pi$
$541$	−7.65478	+	1.74715i	−0.329105	+	0.0751160i	0.0547762	+	0.998499i	$0.482555\pi$
$542$	−14.6585	+	22.1597i	−0.629634	+	0.951839i
$543$	21.4461	−	5.21862i	0.920340	−	0.223952i
$544$	4.60606	+	5.83385i	0.197483	+	0.250124i
$545$	37.6267	−	30.0063i	1.61175	−	1.28533i
$546$	1.97461	−	16.1967i	0.0845054	−	0.693156i
$547$	26.7664	−	6.10925i	1.14445	−	0.261212i	0.392063	−	0.919938i	$-0.371761\pi$
$547$	26.7664	−	6.10925i	1.14445	−	0.261212i	0.752383	+	0.658726i	$0.228904\pi$
$548$	−7.91975	+	14.6489i	−0.338315	+	0.625772i
$549$	14.0244	−	11.8557i	0.598547	−	0.505988i
$550$	67.5728	+	9.22036i	2.88131	+	0.393157i
$551$	−8.55006	+	5.84649i	−0.364245	+	0.249069i
$552$	9.57424	+	33.2133i	0.407507	+	1.41365i
$553$	10.2533	+	8.17673i	0.436014	+	0.347710i
$554$	−20.0800	−	7.55844i	−0.853115	−	0.321127i
$555$	−49.7084	−	38.4915i	−2.11001	−	1.63387i
$556$	−0.702212	−	0.970480i	−0.0297804	−	0.0411575i
$557$	30.3878	−	24.2335i	1.28757	−	1.02681i	0.290011	−	0.957023i	$-0.406341\pi$
$557$	30.3878	−	24.2335i	1.28757	−	1.02681i	0.997562	−	0.0697818i	$-0.0222303\pi$
$558$	−1.37311	+	2.21064i	−0.0581283	+	0.0935837i
$559$	7.47055	+	3.59763i	0.315971	+	0.152163i
$560$	23.1479	+	35.3664i	0.978178	+	1.49450i
$561$	−6.30519	+	8.14261i	−0.266205	+	0.343781i
$562$	23.0850	−	7.47594i	0.973783	−	0.315354i
$563$		−	13.1309i		−	0.553403i	−0.960956	−	0.276701i	$-0.910759\pi$
$563$		−	13.1309i		−	0.553403i	0.960956	−	0.276701i	$-0.0892413\pi$
$564$	5.40364	+	4.60459i	0.227534	+	0.193888i
$565$	11.1414	−	8.88499i	0.468723	−	0.373794i
$566$	0.342680	+	0.574820i	0.0144039	+	0.0241615i
$567$	−1.37384	−	23.9955i	−0.0576960	−	1.00772i
$568$	8.98952	−	20.8632i	0.377192	−	0.875401i
$569$	−26.3048	+	12.6677i	−1.10276	+	0.531059i	−0.894524	−	0.447020i	$-0.852485\pi$
$569$	−26.3048	+	12.6677i	−1.10276	+	0.531059i	−0.208232	+	0.978080i	$0.566771\pi$
$570$	−13.0615	−	13.3018i	−0.547086	−	0.557152i
$571$	−14.4708	+	30.0489i	−0.605583	+	1.25751i	0.342510	+	0.939514i	$0.388723\pi$
$571$	−14.4708	+	30.0489i	−0.605583	+	1.25751i	−0.948093	+	0.317993i	$0.896991\pi$
$572$	−14.8854	+	16.9709i	−0.622389	+	0.709588i
$573$	13.4038	−	6.69269i	0.559953	−	0.279591i
$574$	−11.9883	−	20.1095i	−0.500383	−	0.839355i
$575$	−46.8825	+	58.7888i	−1.95514	+	2.45166i
$576$	16.9759	+	16.9652i	0.707329	+	0.706884i
$577$	−7.88359	−	1.79938i	−0.328198	−	0.0749091i	0.0552470	−	0.998473i	$-0.482405\pi$
$577$	−7.88359	−	1.79938i	−0.328198	−	0.0749091i	−0.383445	+	0.923564i	$0.625263\pi$
$578$	14.9117	+	15.6268i	0.620245	+	0.649991i
$579$	17.4333	+	21.2307i	0.724502	+	0.882317i
$580$	40.1110	+	14.3993i	1.66552	+	0.597898i
$581$		−	6.75995i		−	0.280450i
$582$	−1.89661	+	15.5570i	−0.0786171	+	0.644857i
$583$	6.47492	−	28.3685i	0.268164	−	1.17490i
$584$	−0.104774	+	0.567906i	−0.00433558	+	0.0235001i
$585$	22.6125	−	19.1157i	0.934914	−	0.790339i
$586$	16.7941	−	10.0118i	0.693757	−	0.413585i
$587$	−6.58866	+	28.8668i	−0.271943	+	1.19146i	0.635773	+	0.771876i	$0.280681\pi$
$587$	−6.58866	+	28.8668i	−0.271943	+	1.19146i	−0.907716	+	0.419585i	$0.862176\pi$
$588$	−0.456156	−	0.0148436i	−0.0188115	−	0.000612139i
$589$	−1.06295	−	0.511890i	−0.0437981	−	0.0210921i
$590$	−7.11265	−	79.8992i	−0.292823	−	3.28940i
$591$	21.4161	+	9.93877i	0.880939	+	0.408826i
$592$	−18.9422	+	31.4253i	−0.778519	+	1.29157i
$593$	−10.7228	−	22.2661i	−0.440332	−	0.914359i	−0.996524	−	0.0833049i	$-0.973452\pi$
$593$	−10.7228	−	22.2661i	−0.440332	−	0.914359i	0.556192	−	0.831054i	$-0.312262\pi$
$594$	−17.1393	+	28.4945i	−0.703235	+	1.16915i
$595$	−8.65712	−	10.8557i	−0.354907	−	0.445039i
$596$	3.74354	+	20.8597i	0.153341	+	0.854447i
$597$	−1.57498	−	1.91804i	−0.0644594	−	0.0785004i
$598$	−7.66816	−	23.6786i	−0.313574	−	0.968289i
$599$	27.1901	−	6.20596i	1.11096	−	0.253569i	0.372609	−	0.927989i	$-0.378463\pi$
$599$	27.1901	−	6.20596i	1.11096	−	0.253569i	0.738348	+	0.674420i	$0.235606\pi$
$600$	−8.73728	+	51.4730i	−0.356698	+	2.10137i
$601$	10.1200	−	21.0145i	0.412805	−	0.857198i	−0.586092	−	0.810244i	$-0.699334\pi$
$601$	10.1200	−	21.0145i	0.412805	−	0.857198i	0.998897	−	0.0469537i	$-0.0149513\pi$
$602$	4.42277	−	11.7496i	0.180259	−	0.478879i
$603$	2.82711	+	5.46509i	0.115129	+	0.222556i
$604$	22.3646	+	30.9086i	0.910002	+	1.25765i
$605$	36.5550	−	8.34344i	1.48617	−	0.339209i
$606$	−38.1204	+	12.9501i	−1.54853	+	0.526061i
$607$	15.5631	−	19.5155i	0.631688	−	0.792112i	−0.358248	−	0.933626i	$-0.616626\pi$
$607$	15.5631	−	19.5155i	0.631688	−	0.792112i	0.989936	+	0.141515i	$0.0451973\pi$
$608$	−6.82516	+	8.47353i	−0.276797	+	0.343647i
$609$	−20.3585	+	14.3525i	−0.824968	+	0.581592i
$610$	4.63117	−	33.9402i	0.187511	−	1.37420i
$611$	−3.99670	−	3.18726i	−0.161689	−	0.128943i
$612$	−6.07324	−	5.02708i	−0.245496	−	0.203207i
$613$	2.58896	+	11.3430i	0.104567	+	0.458139i	0.999918	+	0.0127780i	$0.00406748\pi$
$613$	2.58896	+	11.3430i	0.104567	+	0.458139i	−0.895351	+	0.445361i	$0.853075\pi$
$614$	11.4263	+	11.9742i	0.461126	+	0.483241i
$615$	8.86071	−	41.5511i	0.357298	−	1.67550i
$616$	27.5929	+	20.1708i	1.11175	+	0.812705i
$617$	5.19555	+	2.50205i	0.209165	+	0.100729i	0.535533	−	0.844514i	$-0.320111\pi$
$617$	5.19555	+	2.50205i	0.209165	+	0.100729i	−0.326368	+	0.945243i	$0.605825\pi$
$618$	14.5888	−	1.50922i	0.586846	−	0.0607097i
$619$	−1.68943	−	7.40187i	−0.0679039	−	0.297506i	0.929561	−	0.368669i	$-0.120186\pi$
$619$	−1.68943	−	7.40187i	−0.0679039	−	0.297506i	−0.997465	+	0.0711623i	$0.977329\pi$
$620$	0.857453	+	4.77789i	0.0344361	+	0.191885i
$621$	−17.3090	−	32.3192i	−0.694588	−	1.29693i
$622$	−17.2247	+	5.57809i	−0.690646	+	0.223661i
$623$	24.0873	−	19.2090i	0.965037	−	0.769591i
$624$	−12.6144	−	11.8119i	−0.504982	−	0.472855i
$625$	−31.7946	+	15.3115i	−1.27179	+	0.612459i
$626$	0.515858	−	3.78054i	0.0206178	−	0.151101i
$627$	−13.6741	−	6.34586i	−0.546090	−	0.253429i
$628$	46.1104	+	2.16080i	1.84001	+	0.0862251i
$629$	5.22977	−	10.8597i	0.208525	−	0.433006i
$630$	−31.8651	−	31.5365i	−1.26954	−	1.25644i
$631$	−21.0876	−	4.81310i	−0.839484	−	0.191607i	−0.218900	−	0.975747i	$-0.570247\pi$
$631$	−21.0876	−	4.81310i	−0.839484	−	0.191607i	−0.620583	+	0.784141i	$0.713104\pi$
$632$	13.4000	−	3.65608i	0.533024	−	0.145431i
$633$	−0.335901	−	23.4913i	−0.0133508	−	0.933696i
$634$	21.5660	−	1.91981i	0.856495	−	0.0762454i
$635$	65.5833	+	14.9690i	2.60259	+	0.594025i
$636$	21.5446	+	5.66053i	0.854298	+	0.224454i
$637$	0.328632			0.0130209
$638$	34.4575	−	0.529142i	1.36419	−	0.0209489i
$639$	−4.68791	+	23.6351i	−0.185451	+	0.934991i
$640$	44.7076	+	2.31322i	1.76722	+	0.0914379i
$641$	−6.28508	+	27.5368i	−0.248246	+	1.08764i	0.685041	+	0.728505i	$0.259784\pi$
$641$	−6.28508	+	27.5368i	−0.248246	+	1.08764i	−0.933287	+	0.359132i	$0.883073\pi$
$642$	1.73755	−	1.70616i	0.0685758	−	0.0673369i
$643$	4.47104	+	3.56553i	0.176321	+	0.140611i	0.707674	−	0.706540i	$-0.249745\pi$
$643$	4.47104	+	3.56553i	0.176321	+	0.140611i	−0.531353	+	0.847151i	$0.678316\pi$
$644$	−34.6811	+	14.7436i	−1.36663	+	0.580980i
$645$	20.3830	−	10.1774i	0.802578	−	0.400737i
$646$	1.97190	−	2.98099i	0.0775834	−	0.117285i
$647$	6.77786	+	3.26405i	0.266465	+	0.128323i	0.562346	−	0.826902i	$-0.309899\pi$
$647$	6.77786	+	3.26405i	0.266465	+	0.128323i	−0.295881	+	0.955225i	$0.595613\pi$
$648$	−21.3755	−	13.8234i	−0.839710	−	0.543035i
$649$	−28.1436	−	58.4407i	−1.10473	−	2.29400i
$650$	5.08258	−	37.2485i	0.199355	−	1.46100i
$651$	−2.57358	−	1.19435i	−0.100866	−	0.0468101i
$652$	0.297800	+	0.700508i	0.0116627	+	0.0274340i
$653$	−11.3237	−	14.1995i	−0.443131	−	0.555669i	0.509234	−	0.860628i	$-0.329929\pi$
$653$	−11.3237	−	14.1995i	−0.443131	−	0.555669i	−0.952365	+	0.304959i	$0.901357\pi$
$654$	25.0802	+	16.0797i	0.980714	+	0.628765i
$655$	9.49312			0.370927
$656$	−24.6873	−	2.31885i	−0.963879	−	0.0905361i
$657$	−0.0175132	−	0.612270i	−0.000683255	−	0.0238869i
$658$	−4.27026	+	6.45549i	−0.166472	+	0.251661i
$659$	−22.1910	+	46.0801i	−0.864438	+	1.79502i	−0.353375	+	0.935482i	$0.614966\pi$
$659$	−22.1910	+	46.0801i	−0.864438	+	1.79502i	−0.511063	+	0.859543i	$0.670748\pi$
$660$	11.8279	+	60.8870i	0.460401	+	2.37002i
$661$	24.6734	+	30.9395i	0.959685	+	1.20341i	0.979055	+	0.203594i	$0.0652623\pi$
$661$	24.6734	+	30.9395i	0.959685	+	1.20341i	−0.0193708	+	0.999812i	$0.506166\pi$
$662$	16.5023	+	17.2937i	0.641380	+	0.672139i
$663$	4.48849	+	3.47564i	0.174318	+	0.134983i
$664$	−5.77994	−	4.22522i	−0.224305	−	0.163970i
$665$	12.6723	−	15.8905i	0.491410	−	0.616209i
$666$	12.6634	−	36.8007i	0.490698	−	1.42600i
$667$	−18.9530	+	32.9315i	−0.733862	+	1.27511i
$668$	−38.4550	−	10.6935i	−1.48787	−	0.413745i
$669$	−24.4725	+	0.349930i	−0.946161	+	0.0135291i
$670$	10.7415	+	4.04329i	0.414981	+	0.156206i
$671$	−6.16369	−	27.0049i	−0.237947	−	1.04251i
$672$	−16.1205	+	20.6102i	−0.621860	+	0.795054i
$673$	−22.2763	−	27.9336i	−0.858689	−	1.07676i	−0.996272	−	0.0862712i	$-0.972505\pi$
$673$	−22.2763	−	27.9336i	−0.858689	−	1.07676i	0.137583	−	0.990490i	$-0.456067\pi$
$674$	12.2578	−	32.5645i	0.472155	−	1.25434i
$675$	−2.37457	−	55.3253i	−0.0913973	−	2.12947i
$676$	−10.1916	−	8.93917i	−0.391984	−	0.343814i
$677$	0.635360	+	2.78369i	0.0244189	+	0.106986i	0.985669	−	0.168693i	$-0.0539546\pi$
$677$	0.635360	+	2.78369i	0.0244189	+	0.106986i	−0.961250	+	0.275679i	$0.911097\pi$
$678$	7.42635	+	4.76126i	0.285207	+	0.182855i
$679$	−17.0864			−0.655716
$680$	−14.6929	+	0.616865i	−0.563448	+	0.0236557i
$681$	−0.587660	−	0.125318i	−0.0225192	−	0.00480218i
$682$	2.00998	+	3.37160i	0.0769662	+	0.129105i
$683$	−0.651473	+	0.313733i	−0.0249279	+	0.0120046i	−0.446306	−	0.894880i	$-0.647261\pi$
$683$	−0.651473	+	0.313733i	−0.0249279	+	0.0120046i	0.421378	+	0.906885i	$0.361546\pi$
$684$	5.19592	−	10.3046i	0.198671	−	0.394005i
$685$	−14.2951	−	29.6840i	−0.546186	−	1.13417i
$686$	2.30003	+	25.8372i	0.0878156	+	0.986468i
$687$	−1.23297	−	5.06694i	−0.0470409	−	0.193316i
$688$	−7.28187	−	11.1256i	−0.277619	−	0.424158i
$689$	−15.6377	−	3.56920i	−0.595748	−	0.135976i
$690$	−64.3405	−	23.1742i	−2.44940	−	0.882225i
$691$	11.8726	+	9.46808i	0.451655	+	0.360183i	0.822742	−	0.568416i	$-0.192443\pi$
$691$	11.8726	+	9.46808i	0.451655	+	0.360183i	−0.371087	+	0.928598i	$0.621015\pi$
$692$	−21.3793	−	1.00186i	−0.812719	−	0.0380851i
$693$	−33.0989	−	14.7891i	−1.25732	−	0.561793i
$694$	−12.7714	−	13.3840i	−0.484798	−	0.508048i
$695$	2.36997			0.0898980
$696$	−0.453057	+	26.3779i	−0.0171731	+	0.999853i
$697$	8.14537			0.308528
$698$	−6.31640	−	6.61933i	−0.239079	−	0.250545i
$699$	16.5780	−	8.27757i	0.627036	−	0.313087i
$700$	−56.8583	−	2.66445i	−2.14904	−	0.100707i
$701$	12.4133	+	9.89928i	0.468844	+	0.373891i	0.829225	−	0.558914i	$-0.188782\pi$
$701$	12.4133	+	9.89928i	0.468844	+	0.373891i	−0.360381	+	0.932805i	$0.617353\pi$
$702$	15.7072	+	9.44779i	0.592829	+	0.356584i
$703$	17.2014	+	3.92610i	0.648762	+	0.148076i
$704$	34.4932	−	10.9852i	1.30001	−	0.414019i
$705$	−13.6476	+	3.32096i	−0.513999	+	0.125075i
$706$	0.307755	+	3.45713i	0.0115825	+	0.130111i
$707$	−19.0445	−	39.5463i	−0.716242	−	1.48729i
$708$	45.4160	−	20.0787i	1.70684	−	0.754603i
$709$	−7.47460	+	3.59958i	−0.280715	+	0.135185i	−0.568944	−	0.822376i	$-0.692648\pi$
$709$	−7.47460	+	3.59958i	−0.280715	+	0.135185i	0.288229	+	0.957561i	$0.406934\pi$
$710$	23.0150	+	38.6059i	0.863737	+	1.44885i
$711$	−13.0852	+	6.76905i	−0.490735	+	0.253859i
$712$	−1.36874	−	32.6016i	−0.0512957	−	1.22180i
$713$	−4.32785			−0.162079
$714$	4.63915	−	7.23589i	0.173616	−	0.270796i
$715$	−9.93815	−	43.5419i	−0.371666	−	1.62837i
$716$	12.1345	+	10.6433i	0.453486	+	0.397759i
$717$	7.53076	−	1.83251i	0.281241	−	0.0684363i
$718$	−15.7063	+	41.7257i	−0.586153	+	1.55719i
$719$	31.0106	+	38.8861i	1.15650	+	1.45021i	0.870630	+	0.491938i	$0.163711\pi$
$719$	31.0106	+	38.8861i	1.15650	+	1.45021i	0.285871	+	0.958268i	$0.407717\pi$
$720$	−46.8815	+	7.53402i	−1.74717	+	0.280776i
$721$	3.55814	+	15.5892i	0.132512	+	0.580574i
$722$	−20.2510	−	7.62284i	−0.753665	−	0.283693i
$723$	0.124959	+	8.73905i	0.00464727	+	0.325009i
$724$	24.5547	+	6.82816i	0.912570	+	0.253767i
$725$	−47.3740	+	32.3942i	−1.75943	+	1.20309i
$726$	12.1693	+	19.7650i	0.451646	+	0.733550i
$727$	8.32892	−	10.4441i	0.308903	−	0.387352i	−0.603012	−	0.797732i	$-0.706033\pi$
$727$	8.32892	−	10.4441i	0.308903	−	0.387352i	0.911914	+	0.410381i	$0.134604\pi$
$728$	11.1188	−	15.2102i	0.412092	−	0.563726i
$729$	25.2405	+	9.58745i	0.934832	+	0.355091i
$730$	−0.788762	−	0.826590i	−0.0291934	−	0.0305935i
$731$	2.72335	+	3.41498i	0.100727	+	0.126307i
$732$	20.8159	−	4.04371i	0.769379	−	0.149460i
$733$	0.563285	−	1.16967i	0.0208054	−	0.0432029i	−0.890307	−	0.455360i	$-0.849510\pi$
$733$	0.563285	−	1.16967i	0.0208054	−	0.0432029i	0.911113	+	0.412158i	$0.135225\pi$
$734$	−8.94748	+	13.5262i	−0.330258	+	0.499261i
$735$	0.552837	−	0.713941i	0.0203917	−	0.0263341i
$736$	−9.07080	+	38.8686i	−0.334354	+	1.43272i
$737$	9.28087			0.341865
$738$	26.1192	−	3.08008i	0.961459	−	0.113379i
$739$	23.1668	+	29.0502i	0.852203	+	1.06863i	0.996863	+	0.0791472i	$0.0252197\pi$
$739$	23.1668	+	29.0502i	0.852203	+	1.06863i	−0.144660	+	0.989481i	$0.546209\pi$
$740$	−28.4016	−	66.8085i	−1.04406	−	2.45593i
$741$	−3.49806	+	7.53762i	−0.128504	+	0.276901i
$742$	−3.28341	+	24.0630i	−0.120538	+	0.883380i
$743$	−14.2954	−	29.6847i	−0.524447	−	1.08903i	−0.980033	−	0.198834i	$-0.936284\pi$
$743$	−14.2954	−	29.6847i	−0.524447	−	1.08903i	0.455586	−	0.890192i	$-0.349430\pi$
$744$	−2.62978	+	1.45397i	−0.0964125	+	0.0533051i
$745$	−37.7770	−	18.1925i	−1.38404	−	0.666520i
$746$	−2.76723	+	4.18330i	−0.101315	+	0.153162i
$747$	6.93330	+	3.09791i	0.253676	+	0.113347i
$748$	−10.9437	+	4.65239i	−0.400142	+	0.170108i
$749$	2.07571	+	1.65532i	0.0758447	+	0.0604841i
$750$	−38.4168	−	39.1236i	−1.40278	−	1.42859i
$751$	4.99345	−	21.8778i	0.182214	−	0.798331i	−0.798360	−	0.602180i	$-0.794299\pi$
$751$	4.99345	−	21.8778i	0.182214	−	0.798331i	0.980574	−	0.196150i	$-0.0628440\pi$
$752$	2.85055	+	7.68612i	0.103949	+	0.280284i
$753$	−0.452642	−	0.551239i	−0.0164952	−	0.0200883i
$754$	−0.291681	−	18.9942i	−0.0106224	−	0.691726i
$755$	−75.4806			−2.74702
$756$	12.1398	−	24.9570i	0.441521	−	0.907679i
$757$	15.8402	+	3.61541i	0.575720	+	0.131404i	0.500460	−	0.865760i	$-0.333164\pi$
$757$	15.8402	+	3.61541i	0.575720	+	0.131404i	0.0752600	+	0.997164i	$0.476021\pi$
$758$	−46.8637	+	4.17182i	−1.70217	+	0.151527i
$759$	−55.2939	+	0.790643i	−2.00704	+	0.0286985i
$760$	−5.66620	−	20.7673i	−0.205535	−	0.753310i
$761$	39.5117	+	9.01828i	1.43230	+	0.326912i	0.867137	−	0.498069i	$-0.165957\pi$
$761$	39.5117	+	9.01828i	1.43230	+	0.326912i	0.565160	+	0.824982i	$0.308815\pi$
$762$	4.28511	+	41.4217i	0.155233	+	1.50055i
$763$	−14.0928	+	29.2640i	−0.510194	+	1.05943i
$764$	17.2806	+	0.809789i	0.625188	+	0.0292971i
$765$	15.1014	−	3.90424i	0.545992	−	0.141158i
$766$	3.81856	−	27.9849i	0.137970	−	1.01113i
$767$	−32.2146	+	15.5137i	−1.16320	+	0.560168i
$768$	7.54636	+	26.6656i	0.272306	+	0.962211i
$769$	0.875225	−	0.697969i	0.0315614	−	0.0251694i	−0.607582	−	0.794257i	$-0.707860\pi$
$769$	0.875225	−	0.697969i	0.0315614	−	0.0251694i	0.639143	+	0.769088i	$0.279289\pi$
$770$	−64.3330	+	20.8338i	−2.31840	+	0.750800i
$771$	25.4400	+	30.9815i	0.916200	+	1.11577i
$772$	5.60320	+	31.2221i	0.201663	+	1.12371i
$773$	−10.7322	−	47.0209i	−0.386011	−	1.69122i	−0.678212	−	0.734866i	$-0.737245\pi$
$773$	−10.7322	−	47.0209i	−0.386011	−	1.69122i	0.292202	−	0.956357i	$-0.405612\pi$
$774$	10.0241	+	9.92075i	0.360309	+	0.356594i
$775$	−5.88958	−	2.83627i	−0.211560	−	0.101882i
$776$	−10.6797	+	14.6094i	−0.383377	+	0.524445i
$777$	41.4975	+	8.84928i	1.48871	+	0.317466i
$778$	4.87489	+	5.10869i	0.174773	+	0.183155i
$779$	2.65316	+	11.6243i	0.0950593	+	0.416482i
$780$	33.5630	−	6.51995i	1.20175	−	0.233452i
$781$	28.4151	+	22.6603i	1.01677	+	0.810850i
$782$	1.77261	−	12.9909i	0.0633885	−	0.464552i
$783$	−5.39077	−	27.4580i	−0.192650	−	0.981267i
$784$	−0.451348	−	0.272059i	−0.0161196	−	0.00971638i
$785$	−56.9418	+	71.4028i	−2.03234	+	2.54848i
$786$	1.89028	+	5.56431i	0.0674242	+	0.198472i
$787$	42.1887	−	9.62930i	1.50387	−	0.343247i	0.610296	−	0.792173i	$-0.291050\pi$
$787$	42.1887	−	9.62930i	1.50387	−	0.343247i	0.893569	+	0.448926i	$0.148193\pi$
$788$	15.9814	+	22.0869i	0.569315	+	0.786812i
$789$	4.28936	−	20.1143i	0.152705	−	0.716090i
$790$	−9.68098	+	25.7187i	−0.344434	+	0.915031i
$791$	−4.17294	+	8.66520i	−0.148373	+	0.308099i
$792$	−33.3332	+	19.0567i	−1.18444	+	0.677151i
$793$	−14.8860	+	3.39764i	−0.528618	+	0.120654i
$794$	−5.74218	−	17.7313i	−0.203782	−	0.629261i
$795$	−34.0602	+	27.9681i	−1.20799	+	0.991926i
$796$	−0.506210	−	2.82070i	−0.0179421	−	0.0999770i
$797$	20.3984	+	25.5788i	0.722549	+	0.906048i	0.998479	−	0.0551298i	$-0.0175573\pi$
$797$	20.3984	+	25.5788i	0.722549	+	0.906048i	−0.275930	+	0.961178i	$0.588986\pi$
$798$	11.8374	+	4.26360i	0.419040	+	0.150930i
$799$	−1.16841	−	2.42622i	−0.0413352	−	0.0858335i
$800$	−37.8167	+	46.9500i	−1.33702	+	1.65993i
$801$	8.66298	+	33.5080i	0.306091	+	1.18395i
$802$	2.39274	+	26.8786i	0.0844907	+	0.949117i
$803$	−0.832396	−	0.400861i	−0.0293746	−	0.0141461i
$804$	−0.231075	+	7.10115i	−0.00814940	+	0.250438i
$805$	16.5907	−	72.6887i	0.584746	−	2.56194i
$806$	1.85854	−	1.10797i	0.0654643	−	0.0390267i
$807$	−0.478712	−	33.4789i	−0.0168515	−	1.17851i
$808$	−45.7167	−	8.43436i	−1.60831	−	0.296720i
$809$	10.2944	−	45.1026i	0.361931	−	1.58572i	−0.386357	−	0.922349i	$-0.626267\pi$
$809$	10.2944	−	45.1026i	0.361931	−	1.58572i	0.748288	−	0.663374i	$-0.230876\pi$
$810$	46.9482	−	18.2299i	1.64959	−	0.640532i
$811$			13.5788i			0.476817i	0.971165	+	0.238409i	$0.0766257\pi$
$811$			13.5788i			0.476817i	−0.971165	+	0.238409i	$0.923374\pi$
$812$	−28.6067	+	2.98996i	−1.00390	+	0.104927i
$813$	25.1485	−	20.6503i	0.881995	−	0.724238i
$814$	−40.5257	−	42.4693i	−1.42043	−	1.48855i
$815$	−1.46821	−	0.335109i	−0.0514290	−	0.0117383i
$816$	−3.28725	−	8.48930i	−0.115077	−	0.297185i
$817$	−3.98644	+	4.99884i	−0.139468	+	0.174887i
$818$	−18.1084	−	30.3755i	−0.633146	−	1.06205i
$819$	−8.15228	+	18.2453i	−0.284864	+	0.637541i
$820$	32.3489	−	36.8811i	1.12967	−	1.28795i
$821$	3.90766	−	8.11434i	0.136378	−	0.283192i	−0.821584	−	0.570088i	$-0.806909\pi$
$821$	3.90766	−	8.11434i	0.136378	−	0.283192i	0.957962	+	0.286896i	$0.0926233\pi$
$822$	14.5526	−	14.2896i	0.507579	−	0.498408i
$823$	−41.3154	+	19.8964i	−1.44016	+	0.693546i	−0.980857	−	0.194731i	$-0.937617\pi$
$823$	−41.3154	+	19.8964i	−1.44016	+	0.693546i	−0.459307	+	0.888277i	$0.651902\pi$
$824$	15.5532	+	6.70155i	0.541821	+	0.233460i
$825$	−75.7651	−	35.1611i	−2.63780	−	1.22415i
$826$	27.7218	+	46.5013i	0.964566	+	1.61799i
$827$	11.1564	−	8.89692i	0.387946	−	0.309376i	−0.410023	−	0.912075i	$-0.634479\pi$
$827$	11.1564	−	8.89692i	0.387946	−	0.309376i	0.797969	+	0.602699i	$0.205908\pi$
$828$	0.771758	−	42.3271i	0.0268204	−	1.47097i
$829$			37.0800i			1.28784i	0.765092	+	0.643921i	$0.222694\pi$
$829$			37.0800i			1.28784i	−0.765092	+	0.643921i	$0.777306\pi$
$830$	13.4760	−	4.36411i	0.467758	−	0.151480i
$831$	20.7766	+	16.0883i	0.720734	+	0.558096i
$832$	−6.05541	−	19.0138i	−0.209933	−	0.659186i
$833$	0.155974	+	0.0751130i	0.00540417	+	0.00260251i
$834$	0.471911	+	1.38914i	0.0163410	+	0.0481019i
$835$	61.7400	−	49.2360i	2.13660	−	1.70388i
$836$	−10.2041	−	14.1024i	−0.352916	−	0.487741i
$837$	2.40438	−	2.09224i	0.0831075	−	0.0723183i
$838$	−18.5525	−	6.98347i	−0.640884	−	0.241240i
$839$	−33.7264	−	26.8959i	−1.16436	−	0.928549i	−0.166022	−	0.986122i	$-0.553092\pi$
$839$	−33.7264	−	26.8959i	−1.16436	−	0.928549i	−0.998341	+	0.0575736i	$0.981664\pi$
$840$	−14.3390	−	49.7424i	−0.494743	−	1.71628i
$841$	−21.2044	+	19.7831i	−0.731187	+	0.682177i
$842$	18.4709	+	2.52037i	0.636549	+	0.0868576i
$843$	−29.7159	+	0.424905i	−1.02347	+	0.0146345i
$844$	12.9017	−	23.8639i	0.444095	−	0.821429i
$845$	26.1484	−	5.96820i	0.899532	−	0.205312i
$846$	−4.66409	−	7.33816i	−0.160355	−	0.252291i
$847$	−19.7847	+	15.7778i	−0.679810	+	0.542130i
$848$	18.5223	+	17.8477i	0.636057	+	0.612892i
$849$	−0.193788	−	0.796378i	−0.00665078	−	0.0273316i
$850$	10.9259	−	16.5170i	0.374754	−	0.566528i
$851$	63.1004	−	14.4023i	2.16305	−	0.493703i
$852$	−18.0458	+	21.1773i	−0.618237	+	0.725523i
$853$			25.8019i			0.883441i	0.897153	+	0.441721i	$0.145632\pi$
$853$			25.8019i			0.883441i	−0.897153	+	0.441721i	$0.854368\pi$
$854$	7.12264	+	21.9941i	0.243732	+	0.752622i
$855$	10.4907	+	20.2795i	0.358773	+	0.693544i
$856$	2.71274	−	0.740149i	0.0927196	−	0.0252978i
$857$	4.92965	+	10.2365i	0.168393	+	0.349673i	0.968039	−	0.250800i	$-0.0806935\pi$
$857$	4.92965	+	10.2365i	0.168393	+	0.349673i	−0.799646	+	0.600472i	$0.794979\pi$
$858$	23.5428	−	14.4953i	0.803738	−	0.494861i
$859$	18.3383	−	8.83127i	0.625695	−	0.301319i	−0.0940391	−	0.995569i	$-0.529978\pi$
$859$	18.3383	−	8.83127i	0.625695	−	0.301319i	0.719734	+	0.694250i	$0.244264\pi$
$860$	26.2782	+	1.23143i	0.896079	+	0.0419915i
$861$	6.77948	+	27.8605i	0.231044	+	0.949483i
$862$	−0.728334	+	1.10105i	−0.0248072	+	0.0375018i
$863$	−8.96923	+	39.2968i	−0.305316	+	1.33768i	0.556665	+	0.830737i	$0.312081\pi$
$863$	−8.96923	+	39.2968i	−0.305316	+	1.33768i	−0.861981	+	0.506940i	$0.830776\pi$
$864$	−13.7511	−	25.9790i	−0.467822	−	0.883823i
$865$	26.4013	−	33.1062i	0.897672	−	1.12565i
$866$	5.04731	+	56.6985i	0.171515	+	1.92669i
$867$	−11.8177	−	23.6680i	−0.401351	−	0.803809i
$868$	−1.92050	−	2.65419i	−0.0651859	−	0.0900890i
$869$			22.2215i			0.753812i
$870$	−41.7548	−	31.3190i	−1.41562	−	1.06181i
$871$		−	5.11593i		−	0.173347i
$872$	16.2130	+	30.3409i	0.549042	+	1.02747i
$873$	7.83027	−	17.5246i	0.265014	−	0.593117i
$874$	19.1166	−	1.70177i	0.646630	−	0.0575631i
$875$	37.2720	−	46.7376i	1.26002	−	1.58002i
$876$	0.327439	−	0.626918i	0.0110631	−	0.0211816i
$877$	6.29920	−	27.5986i	0.212709	−	0.931938i	−0.750008	−	0.661428i	$-0.769951\pi$
$877$	6.29920	−	27.5986i	0.212709	−	0.931938i	0.962717	−	0.270510i	$-0.0871923\pi$
$878$	−6.16865	−	4.08052i	−0.208182	−	0.137711i
$879$	−23.2672	+	5.66175i	−0.784782	+	0.190966i
$880$	−22.3971	+	68.0285i	−0.755004	+	2.29324i
$881$	32.1085	−	15.4626i	1.08176	−	0.520949i	0.193882	−	0.981025i	$-0.437892\pi$
$881$	32.1085	−	15.4626i	1.08176	−	0.520949i	0.887880	+	0.460076i	$0.152178\pi$
$882$	0.528552	+	0.181879i	0.0177973	+	0.00612420i
$883$	−21.2793	−	44.1869i	−0.716105	−	1.48701i	−0.866921	−	0.498445i	$-0.833904\pi$
$883$	−21.2793	−	44.1869i	−0.716105	−	1.48701i	0.150816	−	0.988562i	$-0.451810\pi$
$884$	2.56456	+	6.03256i	0.0862555	+	0.202897i
$885$	−20.4895	+	96.0828i	−0.688747	+	3.22979i
$886$	45.5713	−	14.7580i	1.53100	−	0.495804i
$887$		−	25.7320i		−	0.863996i	−0.901875	−	0.431998i	$-0.857809\pi$
$887$		−	25.7320i		−	0.863996i	0.901875	−	0.431998i	$-0.142191\pi$
$888$	33.5039	−	29.9504i	1.12432	−	1.00507i
$889$	−44.2624	+	10.1026i	−1.48451	+	0.338830i
$890$	53.8435	+	35.6171i	1.80484	+	1.19389i
$891$	30.3368	−	27.1702i	1.01632	−	0.910238i
$892$	−24.8606	−	13.4406i	−0.832396	−	0.450024i
$893$	3.08187	−	2.45771i	0.103131	−	0.0822442i
$894$	3.14114	−	25.7652i	0.105055	−	0.861717i
$895$	−31.1332	+	7.10595i	−1.04067	+	0.237526i
$896$	−27.8626	+	11.6851i	−0.930823	+	0.390372i
$897$	0.435829	+	30.4799i	0.0145519	+	1.01769i
$898$	−0.684226	+	5.01445i	−0.0228329	+	0.167334i
$899$	−3.15776	−	0.969307i	−0.105317	−	0.0323282i
$900$	28.7895	−	57.0953i	0.959649	−	1.90318i
$901$	−6.60610	−	5.26819i	−0.220081	−	0.175509i
$902$	13.9750	−	37.1265i	0.465318	−	1.23618i
$903$	−9.41394	+	12.1573i	−0.313276	+	0.404570i
$904$	4.80074	+	8.98406i	0.159670	+	0.298805i
$905$	−39.4229	+	31.4387i	−1.31046	+	1.04506i
$906$	−15.0298	−	44.2423i	−0.499332	−	1.46985i
$907$	46.3189	+	22.3060i	1.53799	+	0.740658i	0.995075	−	0.0991275i	$-0.0316052\pi$
$907$	46.3189	+	22.3060i	1.53799	+	0.740658i	0.542918	+	0.839786i	$0.317319\pi$
$908$	−0.521612	−	0.457513i	−0.0173103	−	0.0151831i
$909$	49.2881	−	1.40982i	1.63478	−	0.0467608i
$910$	11.4843	+	35.4626i	0.380702	+	1.17557i
$911$		−	5.68457i		−	0.188338i	−0.995556	−	0.0941691i	$-0.969981\pi$
$911$		−	5.68457i		−	0.188338i	0.995556	−	0.0941691i	$-0.0300194\pi$
$912$	11.0443	−	7.45641i	0.365714	−	0.246906i
$913$	8.95528	−	7.14160i	0.296377	−	0.236352i
$914$	−34.2482	+	20.4171i	−1.13283	+	0.675338i
$915$	−17.6606	+	38.0550i	−0.583841	+	1.25806i
$916$	1.61325	−	5.80140i	0.0533033	−	0.191684i
$917$	−5.77245	+	2.77987i	−0.190623	+	0.0917993i
$918$	5.29545	+	8.07414i	0.174776	+	0.266486i
$919$	10.5721	−	21.9533i	0.348743	−	0.724172i	−0.650637	−	0.759389i	$-0.725498\pi$
$919$	10.5721	−	21.9533i	0.348743	−	0.724172i	0.999380	+	0.0352173i	$0.0112123\pi$
$920$	−51.7810	−	59.6187i	−1.70717	−	1.96557i
$921$	−9.05547	−	18.1359i	−0.298388	−	0.597598i
$922$	−36.5108	+	21.7660i	−1.20242	+	0.716824i
$923$	12.4911	−	15.6634i	0.411151	−	0.515567i
$924$	−25.0217	−	33.5598i	−0.823152	−	1.10404i
$925$	95.3091	+	21.7537i	3.13374	+	0.715256i
$926$	−9.85193	+	9.40107i	−0.323755	+	0.308938i
$927$	−17.6196	−	3.49476i	−0.578704	−	0.114783i
$928$	−15.3238	+	26.3284i	−0.503027	+	0.864271i
$929$		−	13.2024i		−	0.433157i	−0.976265	−	0.216579i	$-0.930510\pi$
$929$		−	13.2024i		−	0.433157i	0.976265	−	0.216579i	$-0.0694898\pi$
$930$	0.719474	−	5.90149i	0.0235925	−	0.193517i
$931$	−0.0563889	+	0.247056i	−0.00184807	+	0.00809693i
$932$	21.3727	+	1.00155i	0.700086	+	0.0328070i
$933$	22.1722	−	0.317038i	0.725884	−	0.0103794i
$934$	−0.900539	−	1.51059i	−0.0294665	−	0.0494279i
$935$	5.23525	−	22.9371i	0.171211	−	0.750125i
$936$	10.5047	+	18.3744i	0.343358	+	0.600586i
$937$	19.5500	+	9.41480i	0.638672	+	0.307568i	0.725052	−	0.688694i	$-0.241816\pi$
$937$	19.5500	+	9.41480i	0.638672	+	0.307568i	−0.0863802	+	0.996262i	$0.527530\pi$
$938$	−7.71555	+	0.686840i	−0.251922	+	0.0224261i
$939$	−1.96718	+	4.23888i	−0.0641965	+	0.138331i
$940$	−15.6259	−	4.34522i	−0.509659	−	0.141726i
$941$	−17.7545	−	36.8677i	−0.578781	−	1.20185i	−0.960683	−	0.277648i	$-0.910445\pi$
$941$	−17.7545	−	36.8677i	−0.578781	−	1.20185i	0.381902	−	0.924203i	$-0.375269\pi$
$942$	−53.1905	−	19.1581i	−1.73304	−	0.624206i
$943$	27.2704	+	34.1959i	0.888045	+	1.11357i
$944$	57.0871	+	5.36212i	1.85803	+	0.174522i
$945$	25.9232	+	48.4034i	0.843280	+	1.57456i
$946$	20.2379	−	6.55391i	0.657990	−	0.213086i
$947$	−12.1867	+	2.78153i	−0.396014	+	0.0903876i	−0.415890	−	0.909415i	$-0.636530\pi$
$947$	−12.1867	+	2.78153i	−0.396014	+	0.0903876i	0.0198763	+	0.999802i	$0.493673\pi$
$948$	−17.0025	−	0.553271i	−0.552216	−	0.0179694i
$949$	−0.220968	+	0.458846i	−0.00717294	+	0.0148948i
$950$	27.1302	+	10.2123i	0.880221	+	0.331330i
$951$	−25.9342	−	5.53042i	−0.840973	−	0.179336i
$952$	8.75365	−	4.67762i	0.283707	−	0.151602i
$953$	−41.1861	+	9.40047i	−1.33415	+	0.304511i	−0.829352	−	0.558727i	$-0.811290\pi$
$953$	−41.1861	+	9.40047i	−1.33415	+	0.304511i	−0.504798	+	0.863238i	$0.668433\pi$
$954$	−23.1754	−	14.3951i	−0.750330	−	0.466058i
$955$	−21.3398	+	26.7592i	−0.690539	+	0.865908i
$956$	8.62235	+	2.39769i	0.278867	+	0.0775470i
$957$	−40.5214	−	11.8073i	−1.30987	−	0.381674i
$958$	−28.5927	−	3.90149i	−0.923788	−	0.126052i
$959$	17.3847	+	13.8638i	0.561381	+	0.447686i
$960$	−51.4935	−	18.8306i	−1.66195	−	0.607756i
$961$	6.81443	+	29.8560i	0.219820	+	0.963095i
$962$	−23.4105	+	22.3392i	−0.754786	+	0.720244i
$963$	−2.64901	+	1.37035i	−0.0853633	+	0.0441588i
$964$	−4.79958	+	8.87765i	−0.154584	+	0.285930i
$965$	−56.5433	−	27.2298i	−1.82019	−	0.876559i
$966$	45.9094	−	4.74937i	1.47711	−	0.152808i
$967$	−0.172176	−	0.754352i	−0.00553681	−	0.0242583i	0.972084	−	0.234633i	$-0.0753888\pi$
$967$	−0.172176	−	0.754352i	−0.00553681	−	0.0242583i	−0.977621	+	0.210375i	$0.932532\pi$
$968$	1.12425	+	26.7781i	0.0361347	+	0.860682i
$969$	−3.38305	+	2.77794i	−0.108679	+	0.0892404i
$970$	−11.0307	−	34.0618i	−0.354175	−	1.09366i
$971$	14.1068	−	11.2498i	0.452709	−	0.361023i	−0.370433	−	0.928859i	$-0.620791\pi$
$971$	14.1068	−	11.2498i	0.452709	−	0.361023i	0.823142	+	0.567836i	$0.192219\pi$
$972$	20.0337	+	23.8883i	0.642580	+	0.766218i
$973$	−1.44110	+	0.693997i	−0.0461995	+	0.0222485i
$974$	48.2124	+	6.57862i	1.54482	+	0.210793i
$975$	−19.3820	+	41.7643i	−0.620720	+	1.33753i
$976$	23.2575	+	7.65707i	0.744453	+	0.245097i
$977$	−10.7197	+	22.2598i	−0.342955	+	0.712153i	−0.999097	−	0.0424840i	$-0.986473\pi$
$977$	−10.7197	+	22.2598i	−0.342955	+	0.712153i	0.656142	+	0.754637i	$0.272187\pi$
$978$	−0.0959304	−	0.927304i	−0.00306752	−	0.0296519i
$979$	50.8944	+	11.6163i	1.62659	+	0.371259i
$980$	0.959542	−	0.407920i	0.0306515	−	0.0130305i
$981$	−23.5561	−	27.8652i	−0.752089	−	0.889667i
$982$	2.32209	+	26.0850i	0.0741010	+	0.832406i
$983$	−32.1040	−	7.32754i	−1.02396	−	0.233712i	−0.322612	−	0.946531i	$-0.604561\pi$
$983$	−32.1040	−	7.32754i	−1.02396	−	0.233712i	−0.701348	+	0.712819i	$0.747418\pi$
$984$	28.0589	+	11.6172i	0.894486	+	0.370343i
$985$	−53.9374			−1.71859
$986$	4.20292	−	9.08159i	0.133848	−	0.289217i
$987$	7.32619	−	6.01579i	0.233195	−	0.191485i
$988$	−7.77372	+	5.62484i	−0.247315	+	0.178950i
$989$	−5.21910	+	22.8664i	−0.165958	+	0.727109i
$990$	8.11407	−	75.5304i	0.257882	−	2.40052i
$991$	−35.1709	−	28.0479i	−1.11724	−	0.890970i	−0.122406	−	0.992480i	$-0.539061\pi$
$991$	−35.1709	−	28.0479i	−1.11724	−	0.890970i	−0.994835	+	0.101510i	$0.967633\pi$
$992$	−3.46979	−	0.0168907i	−0.110166	−	0.000536281i
$993$	−13.0783	−	26.1927i	−0.415027	−	0.831199i
$994$	−25.2996	−	16.7355i	−0.802455	−	0.530818i
$995$	5.10830	+	2.46003i	0.161944	+	0.0779881i
$996$	5.24134	+	7.02984i	0.166078	+	0.222749i
$997$	−5.40385	−	11.2212i	−0.171142	−	0.355379i	0.797702	−	0.603051i	$-0.206049\pi$
$997$	−5.40385	−	11.2212i	−0.171142	−	0.355379i	−0.968844	+	0.247672i	$0.920334\pi$
$998$	50.3386	+	6.86874i	1.59344	+	0.217426i
$999$	−28.0935	+	38.5063i	−0.888838	+	1.21828i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	348.2.t.a.35.15	yes	336
3.2	odd	2	inner	348.2.t.a.35.42	yes	336
4.3	odd	2	inner	348.2.t.a.35.47	yes	336
12.11	even	2	inner	348.2.t.a.35.10	✓	336
29.5	even	14	inner	348.2.t.a.179.10	yes	336
87.5	odd	14	inner	348.2.t.a.179.47	yes	336
116.63	odd	14	inner	348.2.t.a.179.42	yes	336
348.179	even	14	inner	348.2.t.a.179.15	yes	336

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
348.2.t.a.35.10	✓	336	12.11	even	2	inner
348.2.t.a.35.15	yes	336	1.1	even	1	trivial
348.2.t.a.35.42	yes	336	3.2	odd	2	inner
348.2.t.a.35.47	yes	336	4.3	odd	2	inner
348.2.t.a.179.10	yes	336	29.5	even	14	inner
348.2.t.a.179.15	yes	336	348.179	even	14	inner
348.2.t.a.179.42	yes	336	116.63	odd	14	inner
348.2.t.a.179.47	yes	336	87.5	odd	14	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 348 = 2^{2} \cdot 3 \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	348.t (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.976315 - 1.02314i) q^{2} +(0.773743 + 1.54962i) q^{3} +(-0.0936199 + 1.99781i) q^{4} +(-3.09364 - 2.46710i) q^{5} +(0.830057 - 2.30456i) q^{6} +(2.60358 + 0.594250i) q^{7} +(2.13543 - 1.85470i) q^{8} +(-1.80264 + 2.39802i) q^{9} +O(q^{10})\)	\(q+(-0.976315 - 1.02314i) q^{2} +(0.773743 + 1.54962i) q^{3} +(-0.0936199 + 1.99781i) q^{4} +(-3.09364 - 2.46710i) q^{5} +(0.830057 - 2.30456i) q^{6} +(2.60358 + 0.594250i) q^{7} +(2.13543 - 1.85470i) q^{8} +(-1.80264 + 2.39802i) q^{9} +(0.496188 + 5.57388i) q^{10} +(1.96333 + 4.07691i) q^{11} +(-3.16828 + 1.40072i) q^{12} +(2.24733 - 1.08226i) q^{13} +(-1.93391 - 3.24399i) q^{14} +(1.42938 - 6.70286i) q^{15} +(-3.98247 - 0.374069i) q^{16} +1.31398 q^{17} +(4.21345 - 0.496867i) q^{18} +(0.427998 + 1.87518i) q^{19} +(5.21841 - 5.94953i) q^{20} +(1.09364 + 4.49435i) q^{21} +(2.25440 - 5.98910i) q^{22} +(4.39915 + 5.51636i) q^{23} +(4.52636 + 1.87405i) q^{24} +(2.37144 + 10.3900i) q^{25} +(-3.30140 - 1.24270i) q^{26} +(-5.11080 - 0.937961i) q^{27} +(-1.43094 + 5.14581i) q^{28} +(1.97428 + 5.01021i) q^{29} +(-8.25347 + 5.08166i) q^{30} +(-0.382439 + 0.479563i) q^{31} +(3.50542 + 4.43982i) q^{32} +(-4.79854 + 6.19690i) q^{33} +(-1.28286 - 1.34438i) q^{34} +(-6.58846 - 8.26167i) q^{35} +(-4.62201 - 3.82583i) q^{36} +(3.98009 - 8.26475i) q^{37} +(1.50071 - 2.26867i) q^{38} +(3.41595 + 2.64512i) q^{39} +(-11.1820 + 0.469462i) q^{40} +6.19900 q^{41} +(3.53060 - 5.50685i) q^{42} +(2.07260 + 2.59895i) q^{43} +(-8.32868 + 3.54068i) q^{44} +(11.4929 - 2.97131i) q^{45} +(1.34904 - 9.88664i) q^{46} +(-0.889210 - 1.84646i) q^{47} +(-2.50175 - 6.46075i) q^{48} +(0.118703 + 0.0571644i) q^{49} +(8.31509 - 12.5702i) q^{50} +(1.01668 + 2.03617i) q^{51} +(1.95175 + 4.59106i) q^{52} +(-5.02754 - 4.00933i) q^{53} +(4.03008 + 6.14479i) q^{54} +(3.98427 - 17.4562i) q^{55} +(6.66193 - 3.55988i) q^{56} +(-2.57466 + 2.11414i) q^{57} +(3.19861 - 6.91150i) q^{58} -14.3346 q^{59} +(13.2572 + 3.48314i) q^{60} +(-5.96790 - 1.36213i) q^{61} +(0.864040 - 0.0769171i) q^{62} +(-6.11834 + 5.17220i) q^{63} +(1.12016 - 7.92119i) q^{64} +(-9.62247 - 2.19627i) q^{65} +(11.0252 - 1.14056i) q^{66} +(0.889900 - 1.84790i) q^{67} +(-0.123015 + 2.62508i) q^{68} +(-5.14445 + 11.0853i) q^{69} +(-2.02041 + 14.8069i) q^{70} +(7.23645 - 3.48489i) q^{71} +(0.598183 + 8.46417i) q^{72} +(-0.159629 + 0.127300i) q^{73} +(-12.3418 + 3.99681i) q^{74} +(-14.2656 + 11.7140i) q^{75} +(-3.78632 + 0.679503i) q^{76} +(2.68899 + 11.7813i) q^{77} +(-0.628717 - 6.07745i) q^{78} +(4.42448 + 2.13072i) q^{79} +(11.3975 + 10.9824i) q^{80} +(-2.50096 - 8.64553i) q^{81} +(-6.05218 - 6.34243i) q^{82} +(-0.563269 - 2.46784i) q^{83} +(-9.08124 + 1.76412i) q^{84} +(-4.06499 - 3.24172i) q^{85} +(0.635581 - 4.65795i) q^{86} +(-6.23633 + 6.93600i) q^{87} +(11.7540 + 5.06456i) q^{88} +(7.19293 - 9.01965i) q^{89} +(-14.2607 - 8.85784i) q^{90} +(6.49423 - 1.48227i) q^{91} +(-11.4325 + 8.27222i) q^{92} +(-1.03905 - 0.221576i) q^{93} +(-1.02104 + 2.71251i) q^{94} +(3.30218 - 6.85705i) q^{95} +(-4.16774 + 8.86735i) q^{96} +(-6.23771 + 1.42372i) q^{97} +(-0.0574045 - 0.177260i) q^{98} +(-13.3157 - 2.64110i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 336 q - 10 q^{4} - 3 q^{6} - 10 q^{9}+O(q^{10}) \) 336 * q - 10 * q^4 - 3 * q^6 - 10 * q^9	\( 336 q - 10 q^{4} - 3 q^{6} - 10 q^{9} - 14 q^{10} - 20 q^{13} - 26 q^{16} - 56 q^{18} - 14 q^{21} - 40 q^{22} + 3 q^{24} + 40 q^{25} - 36 q^{28} - 6 q^{30} - 22 q^{33} - 8 q^{34} + 9 q^{36} - 28 q^{37} - 14 q^{40} - 74 q^{42} - 22 q^{45} + 14 q^{48} + 4 q^{49} - 4 q^{52} - 31 q^{54} - 12 q^{57} - 106 q^{58} - 42 q^{60} - 28 q^{61} - 94 q^{64} - 7 q^{66} - 14 q^{69} + 70 q^{72} - 28 q^{73} - 84 q^{76} - 9 q^{78} - 50 q^{81} - 46 q^{82} - 35 q^{84} - 168 q^{85} - 60 q^{88} + 119 q^{90} + 122 q^{93} + 36 q^{94} + 2 q^{96} - 28 q^{97}+O(q^{100}) \) 336 * q - 10 * q^4 - 3 * q^6 - 10 * q^9 - 14 * q^10 - 20 * q^13 - 26 * q^16 - 56 * q^18 - 14 * q^21 - 40 * q^22 + 3 * q^24 + 40 * q^25 - 36 * q^28 - 6 * q^30 - 22 * q^33 - 8 * q^34 + 9 * q^36 - 28 * q^37 - 14 * q^40 - 74 * q^42 - 22 * q^45 + 14 * q^48 + 4 * q^49 - 4 * q^52 - 31 * q^54 - 12 * q^57 - 106 * q^58 - 42 * q^60 - 28 * q^61 - 94 * q^64 - 7 * q^66 - 14 * q^69 + 70 * q^72 - 28 * q^73 - 84 * q^76 - 9 * q^78 - 50 * q^81 - 46 * q^82 - 35 * q^84 - 168 * q^85 - 60 * q^88 + 119 * q^90 + 122 * q^93 + 36 * q^94 + 2 * q^96 - 28 * q^97

Introduction

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