LMFDB - Embedded newform 370.2.q.f.267.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [370,2,Mod(97,370)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(370, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([3, 5]))

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

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

chi := DirichletCharacter("370.97");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 370 = 2 \cdot 5 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	370.q (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.95446487479$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$8$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			267.3
Character	$\chi$	$=$	370.267
Dual form			370.2.q.f.273.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.500000 + 0.866025i) q^{2} +(-1.76952 + 0.474141i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-0.686657 - 2.12803i) q^{5} +(-1.29538 - 1.29538i) q^{6} +(1.57494 - 0.422005i) q^{7} -1.00000 q^{8} +(0.308315 - 0.178006i) q^{9} +O(q^{10})$	\(q+(0.500000 + 0.866025i) q^{2} +(-1.76952 + 0.474141i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-0.686657 - 2.12803i) q^{5} +(-1.29538 - 1.29538i) q^{6} +(1.57494 - 0.422005i) q^{7} -1.00000 q^{8} +(0.308315 - 0.178006i) q^{9} +(1.49960 - 1.65868i) q^{10} -5.59862i q^{11} +(0.474141 - 1.76952i) q^{12} +(0.738692 - 1.27945i) q^{13} +(1.15294 + 1.15294i) q^{14} +(2.22404 + 3.44002i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(2.61390 - 1.50914i) q^{17} +(0.308315 + 0.178006i) q^{18} +(0.429201 + 1.60180i) q^{19} +(2.18625 + 0.469352i) q^{20} +(-2.58680 + 1.49349i) q^{21} +(4.84855 - 2.79931i) q^{22} +7.68502 q^{23} +(1.76952 - 0.474141i) q^{24} +(-4.05701 + 2.92245i) q^{25} +1.47738 q^{26} +(3.42497 - 3.42497i) q^{27} +(-0.422005 + 1.57494i) q^{28} +(-7.01537 - 7.01537i) q^{29} +(-1.86712 + 3.64608i) q^{30} +(2.74356 - 2.74356i) q^{31} +(0.500000 - 0.866025i) q^{32} +(2.65454 + 9.90687i) q^{33} +(2.61390 + 1.50914i) q^{34} +(-1.97948 - 3.06175i) q^{35} +0.356011i q^{36} +(-6.06827 - 0.419666i) q^{37} +(-1.17260 + 1.17260i) q^{38} +(-0.700489 + 2.61426i) q^{39} +(0.686657 + 2.12803i) q^{40} +(0.907262 + 0.523808i) q^{41} +(-2.58680 - 1.49349i) q^{42} +0.956735 q^{43} +(4.84855 + 2.79931i) q^{44} +(-0.590508 - 0.533874i) q^{45} +(3.84251 + 6.65542i) q^{46} +(-0.178704 - 0.178704i) q^{47} +(1.29538 + 1.29538i) q^{48} +(-3.75982 + 2.17073i) q^{49} +(-4.55942 - 2.05225i) q^{50} +(-3.90981 + 3.90981i) q^{51} +(0.738692 + 1.27945i) q^{52} +(2.63419 + 0.705830i) q^{53} +(4.67859 + 1.25362i) q^{54} +(-11.9140 + 3.84433i) q^{55} +(-1.57494 + 0.422005i) q^{56} +(-1.51896 - 2.63091i) q^{57} +(2.56780 - 9.58317i) q^{58} +(-7.07815 - 1.89658i) q^{59} +(-4.09116 + 0.206066i) q^{60} +(-0.603415 - 2.25197i) q^{61} +(3.74778 + 1.00421i) q^{62} +(0.410459 - 0.410459i) q^{63} +1.00000 q^{64} +(-3.22994 - 0.693413i) q^{65} +(-7.25233 + 7.25233i) q^{66} +(0.973574 + 3.63343i) q^{67} +3.01827i q^{68} +(-13.5988 + 3.64378i) q^{69} +(1.66181 - 3.24516i) q^{70} +(0.226639 - 0.392550i) q^{71} +(-0.308315 + 0.178006i) q^{72} +(-5.31913 - 5.31913i) q^{73} +(-2.67069 - 5.46511i) q^{74} +(5.79330 - 7.09493i) q^{75} +(-1.60180 - 0.429201i) q^{76} +(-2.36264 - 8.81751i) q^{77} +(-2.61426 + 0.700489i) q^{78} +(-3.90738 - 14.5825i) q^{79} +(-1.49960 + 1.65868i) q^{80} +(-4.97065 + 8.60941i) q^{81} +1.04762i q^{82} +(15.4470 + 4.13901i) q^{83} -2.98698i q^{84} +(-5.00634 - 4.52619i) q^{85} +(0.478368 + 0.828557i) q^{86} +(15.7401 + 9.08756i) q^{87} +5.59862i q^{88} +(-2.20116 + 8.21484i) q^{89} +(0.167095 - 0.778332i) q^{90} +(0.623463 - 2.32680i) q^{91} +(-3.84251 + 6.65542i) q^{92} +(-3.55395 + 6.15563i) q^{93} +(0.0654100 - 0.244114i) q^{94} +(3.11396 - 2.01324i) q^{95} +(-0.474141 + 1.76952i) q^{96} +0.0626788i q^{97} +(-3.75982 - 2.17073i) q^{98} +(-0.996586 - 1.72614i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q + 16 q^{2} - 2 q^{3} - 16 q^{4} + 6 q^{5} + 8 q^{6} - 10 q^{7} - 32 q^{8} + 12 q^{9}+O(q^{10}) $ 32 * q + 16 * q^2 - 2 * q^3 - 16 * q^4 + 6 * q^5 + 8 * q^6 - 10 * q^7 - 32 * q^8 + 12 * q^9	\( 32 q + 16 q^{2} - 2 q^{3} - 16 q^{4} + 6 q^{5} + 8 q^{6} - 10 q^{7} - 32 q^{8} + 12 q^{9} + 6 q^{10} + 10 q^{12} + 10 q^{13} - 8 q^{14} - 8 q^{15} - 16 q^{16} - 12 q^{17} + 12 q^{18} + 2 q^{19} - 54 q^{21} + 6 q^{22} + 12 q^{23} + 2 q^{24} - 16 q^{25} + 20 q^{26} + 40 q^{27} + 2 q^{28} + 6 q^{29} + 8 q^{30} - 4 q^{31} + 16 q^{32} + 26 q^{33} - 12 q^{34} - 12 q^{35} + 20 q^{37} - 26 q^{38} - 58 q^{39} - 6 q^{40} + 18 q^{41} - 54 q^{42} - 32 q^{43} + 6 q^{44} + 56 q^{45} + 6 q^{46} + 18 q^{47} - 8 q^{48} - 12 q^{49} - 14 q^{50} - 4 q^{51} + 10 q^{52} - 24 q^{53} + 20 q^{54} - 32 q^{55} + 10 q^{56} + 8 q^{57} + 36 q^{58} + 42 q^{59} + 16 q^{60} - 46 q^{61} - 14 q^{62} + 32 q^{64} - 18 q^{65} + 4 q^{66} + 50 q^{67} - 66 q^{69} + 12 q^{70} - 12 q^{71} - 12 q^{72} - 28 q^{73} + 16 q^{74} - 20 q^{75} - 28 q^{76} + 12 q^{77} - 26 q^{78} + 38 q^{79} - 6 q^{80} + 56 q^{81} - 8 q^{85} - 16 q^{86} + 18 q^{87} + 18 q^{89} + 4 q^{90} + 4 q^{91} - 6 q^{92} + 32 q^{93} + 30 q^{94} + 96 q^{95} - 10 q^{96} - 12 q^{98} - 26 q^{99}+O(q^{100}) \) 32 * q + 16 * q^2 - 2 * q^3 - 16 * q^4 + 6 * q^5 + 8 * q^6 - 10 * q^7 - 32 * q^8 + 12 * q^9 + 6 * q^10 + 10 * q^12 + 10 * q^13 - 8 * q^14 - 8 * q^15 - 16 * q^16 - 12 * q^17 + 12 * q^18 + 2 * q^19 - 54 * q^21 + 6 * q^22 + 12 * q^23 + 2 * q^24 - 16 * q^25 + 20 * q^26 + 40 * q^27 + 2 * q^28 + 6 * q^29 + 8 * q^30 - 4 * q^31 + 16 * q^32 + 26 * q^33 - 12 * q^34 - 12 * q^35 + 20 * q^37 - 26 * q^38 - 58 * q^39 - 6 * q^40 + 18 * q^41 - 54 * q^42 - 32 * q^43 + 6 * q^44 + 56 * q^45 + 6 * q^46 + 18 * q^47 - 8 * q^48 - 12 * q^49 - 14 * q^50 - 4 * q^51 + 10 * q^52 - 24 * q^53 + 20 * q^54 - 32 * q^55 + 10 * q^56 + 8 * q^57 + 36 * q^58 + 42 * q^59 + 16 * q^60 - 46 * q^61 - 14 * q^62 + 32 * q^64 - 18 * q^65 + 4 * q^66 + 50 * q^67 - 66 * q^69 + 12 * q^70 - 12 * q^71 - 12 * q^72 - 28 * q^73 + 16 * q^74 - 20 * q^75 - 28 * q^76 + 12 * q^77 - 26 * q^78 + 38 * q^79 - 6 * q^80 + 56 * q^81 - 8 * q^85 - 16 * q^86 + 18 * q^87 + 18 * q^89 + 4 * q^90 + 4 * q^91 - 6 * q^92 + 32 * q^93 + 30 * q^94 + 96 * q^95 - 10 * q^96 - 12 * q^98 - 26 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/370\mathbb{Z}\right)^\times$.

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{4}\right)$

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 $

$2$	0.500000	+	0.866025i	0.353553	+	0.612372i
$2$	0.500000	+	0.866025i	0.353553	+	0.612372i
$3$	−1.76952	+	0.474141i	−1.02163	+	0.273746i	−0.730482	−	0.682932i	$-0.760705\pi$
$3$	−1.76952	+	0.474141i	−1.02163	+	0.273746i	−0.291151	+	0.956677i	$0.594038\pi$
$4$	−0.500000	+	0.866025i	−0.250000	+	0.433013i
$5$	−0.686657	−	2.12803i	−0.307082	−	0.951683i
$5$	−0.686657	−	2.12803i	−0.307082	−	0.951683i
$6$	−1.29538	−	1.29538i	−0.528836	−	0.528836i
$7$	1.57494	−	0.422005i	0.595273	−	0.159503i	0.0514109	−	0.998678i	$-0.483628\pi$
$7$	1.57494	−	0.422005i	0.595273	−	0.159503i	0.543862	+	0.839175i	$0.316962\pi$
$8$	−1.00000			−0.353553
$9$	0.308315	−	0.178006i	0.102772	−	0.0593352i
$10$	1.49960	−	1.65868i	0.474215	−	0.524519i
$11$		−	5.59862i		−	1.68805i	−0.536306	−	0.844024i	$-0.680181\pi$
$11$		−	5.59862i		−	1.68805i	0.536306	−	0.844024i	$-0.319819\pi$
$12$	0.474141	−	1.76952i	0.136873	−	0.510816i
$13$	0.738692	−	1.27945i	0.204876	−	0.354856i	−0.745217	−	0.666822i	$-0.767654\pi$
$13$	0.738692	−	1.27945i	0.204876	−	0.354856i	0.950093	+	0.311966i	$0.100987\pi$
$14$	1.15294	+	1.15294i	0.308136	+	0.308136i
$15$	2.22404	+	3.44002i	0.574244	+	0.888208i
$16$	−0.500000	−	0.866025i	−0.125000	−	0.216506i
$17$	2.61390	−	1.50914i	0.633964	−	0.366019i	−0.148322	−	0.988939i	$-0.547387\pi$
$17$	2.61390	−	1.50914i	0.633964	−	0.366019i	0.782286	+	0.622920i	$0.214054\pi$
$18$	0.308315	+	0.178006i	0.0726705	+	0.0419564i
$19$	0.429201	+	1.60180i	0.0984654	+	0.367478i	0.997522	−	0.0703545i	$-0.0224131\pi$
$19$	0.429201	+	1.60180i	0.0984654	+	0.367478i	−0.899057	+	0.437832i	$0.855746\pi$
$20$	2.18625	+	0.469352i	0.488861	+	0.104950i
$21$	−2.58680	+	1.49349i	−0.564487	+	0.325907i
$22$	4.84855	−	2.79931i	1.03371	−	0.596815i
$23$	7.68502			1.60244			0.801218	−	0.598372i	$-0.204186\pi$
$23$	7.68502			1.60244			0.801218	+	0.598372i	$0.204186\pi$
$24$	1.76952	−	0.474141i	0.361202	−	0.0967837i
$25$	−4.05701	+	2.92245i	−0.811401	+	0.584490i
$26$	1.47738			0.289739
$27$	3.42497	−	3.42497i	0.659135	−	0.659135i
$28$	−0.422005	+	1.57494i	−0.0797514	+	0.297636i
$29$	−7.01537	−	7.01537i	−1.30272	−	1.30272i	−0.926550	−	0.376171i	$-0.877240\pi$
$29$	−7.01537	−	7.01537i	−1.30272	−	1.30272i	−0.376171	−	0.926550i	$-0.622760\pi$
$30$	−1.86712	+	3.64608i	−0.340888	+	0.665680i
$31$	2.74356	−	2.74356i	0.492759	−	0.492759i	−0.416416	−	0.909174i	$-0.636714\pi$
$31$	2.74356	−	2.74356i	0.492759	−	0.492759i	0.909174	+	0.416416i	$0.136714\pi$
$32$	0.500000	−	0.866025i	0.0883883	−	0.153093i
$33$	2.65454	+	9.90687i	0.462096	+	1.72456i
$34$	2.61390	+	1.50914i	0.448280	+	0.258815i
$35$	−1.97948	−	3.06175i	−0.334594	−	0.517531i
$36$			0.356011i			0.0593352i
$37$	−6.06827	−	0.419666i	−0.997617	−	0.0689927i
$37$	−6.06827	−	0.419666i	−0.997617	−	0.0689927i
$38$	−1.17260	+	1.17260i	−0.190220	+	0.190220i
$39$	−0.700489	+	2.61426i	−0.112168	+	0.418617i
$40$	0.686657	+	2.12803i	0.108570	+	0.336471i
$41$	0.907262	+	0.523808i	0.141691	+	0.0818051i	0.569169	−	0.822220i	$-0.307265\pi$
$41$	0.907262	+	0.523808i	0.141691	+	0.0818051i	−0.427479	+	0.904025i	$0.640598\pi$
$42$	−2.58680	−	1.49349i	−0.399153	−	0.230451i
$43$	0.956735			0.145901			0.0729504	−	0.997336i	$-0.476759\pi$
$43$	0.956735			0.145901			0.0729504	+	0.997336i	$0.476759\pi$
$44$	4.84855	+	2.79931i	0.730946	+	0.422012i
$45$	−0.590508	−	0.533874i	−0.0880277	−	0.0795852i
$46$	3.84251	+	6.65542i	0.566547	+	0.981288i
$47$	−0.178704	−	0.178704i	−0.0260666	−	0.0260666i	0.693953	−	0.720020i	$-0.255867\pi$
$47$	−0.178704	−	0.178704i	−0.0260666	−	0.0260666i	−0.720020	+	0.693953i	$0.755867\pi$
$48$	1.29538	+	1.29538i	0.186972	+	0.186972i
$49$	−3.75982	+	2.17073i	−0.537117	+	0.310105i
$50$	−4.55942	−	2.05225i	−0.644799	−	0.290231i
$51$	−3.90981	+	3.90981i	−0.547482	+	0.547482i
$52$	0.738692	+	1.27945i	0.102438	+	0.177428i
$53$	2.63419	+	0.705830i	0.361834	+	0.0969532i	0.435156	−	0.900355i	$-0.356693\pi$
$53$	2.63419	+	0.705830i	0.361834	+	0.0969532i	−0.0733216	+	0.997308i	$0.523360\pi$
$54$	4.67859	+	1.25362i	0.636676	+	0.170597i
$55$	−11.9140	+	3.84433i	−1.60649	+	0.518369i
$56$	−1.57494	+	0.422005i	−0.210461	+	0.0563928i
$57$	−1.51896	−	2.63091i	−0.201191	−	0.348473i
$58$	2.56780	−	9.58317i	0.337169	−	1.25833i
$59$	−7.07815	−	1.89658i	−0.921496	−	0.246914i	−0.233272	−	0.972412i	$-0.574943\pi$
$59$	−7.07815	−	1.89658i	−0.921496	−	0.246914i	−0.688225	+	0.725497i	$0.741610\pi$
$60$	−4.09116	+	0.206066i	−0.528167	+	0.0266030i
$61$	−0.603415	−	2.25197i	−0.0772593	−	0.288336i	0.916477	−	0.400088i	$-0.131020\pi$
$61$	−0.603415	−	2.25197i	−0.0772593	−	0.288336i	−0.993736	+	0.111752i	$0.964354\pi$
$62$	3.74778	+	1.00421i	0.475968	+	0.127535i
$63$	0.410459	−	0.410459i	0.0517130	−	0.0517130i
$64$	1.00000			0.125000
$65$	−3.22994	−	0.693413i	−0.400624	−	0.0860073i
$66$	−7.25233	+	7.25233i	−0.892700	+	0.892700i
$67$	0.973574	+	3.63343i	0.118941	+	0.443894i	0.999551	−	0.0299470i	$-0.00953387\pi$
$67$	0.973574	+	3.63343i	0.118941	+	0.443894i	−0.880611	+	0.473841i	$0.842867\pi$
$68$			3.01827i			0.366019i
$69$	−13.5988	+	3.64378i	−1.63710	+	0.438660i
$70$	1.66181	−	3.24516i	0.198625	−	0.387871i
$71$	0.226639	−	0.392550i	0.0268971	−	0.0465871i	−0.852264	−	0.523113i	$-0.824771\pi$
$71$	0.226639	−	0.392550i	0.0268971	−	0.0465871i	0.879161	+	0.476526i	$0.158104\pi$
$72$	−0.308315	+	0.178006i	−0.0363353	+	0.0209782i
$73$	−5.31913	−	5.31913i	−0.622557	−	0.622557i	0.323628	−	0.946184i	$-0.395097\pi$
$73$	−5.31913	−	5.31913i	−0.622557	−	0.622557i	−0.946184	+	0.323628i	$0.895097\pi$
$74$	−2.67069	−	5.46511i	−0.310462	−	0.635306i
$75$	5.79330	−	7.09493i	0.668953	−	0.819251i
$76$	−1.60180	−	0.429201i	−0.183739	−	0.0492327i
$77$	−2.36264	−	8.81751i	−0.269248	−	1.00485i
$78$	−2.61426	+	0.700489i	−0.296007	+	0.0793147i
$79$	−3.90738	−	14.5825i	−0.439614	−	1.64066i	−0.729777	−	0.683685i	$-0.760376\pi$
$79$	−3.90738	−	14.5825i	−0.439614	−	1.64066i	0.290163	−	0.956977i	$-0.406290\pi$
$80$	−1.49960	+	1.65868i	−0.167660	+	0.185446i
$81$	−4.97065	+	8.60941i	−0.552294	+	0.956601i
$82$			1.04762i			0.115690i
$83$	15.4470	+	4.13901i	1.69553	+	0.454316i	0.971808	−	0.235775i	$-0.0757630\pi$
$83$	15.4470	+	4.13901i	1.69553	+	0.454316i	0.723722	+	0.690091i	$0.242430\pi$
$84$		−	2.98698i		−	0.325907i
$85$	−5.00634	−	4.52619i	−0.543013	−	0.490935i
$86$	0.478368	+	0.828557i	0.0515837	+	0.0893456i
$87$	15.7401	+	9.08756i	1.68752	+	0.974289i
$88$			5.59862i			0.596815i
$89$	−2.20116	+	8.21484i	−0.233322	+	0.870771i	0.745576	+	0.666421i	$0.232175\pi$
$89$	−2.20116	+	8.21484i	−0.233322	+	0.870771i	−0.978898	+	0.204350i	$0.934492\pi$
$90$	0.167095	−	0.778332i	0.0176133	−	0.0820434i
$91$	0.623463	−	2.32680i	0.0653567	−	0.243915i
$92$	−3.84251	+	6.65542i	−0.400609	+	0.693875i
$93$	−3.55395	+	6.15563i	−0.368528	+	0.638309i
$94$	0.0654100	−	0.244114i	0.00674653	−	0.0251784i
$95$	3.11396	−	2.01324i	0.319485	−	0.206554i
$96$	−0.474141	+	1.76952i	−0.0483919	+	0.180601i
$97$			0.0626788i			0.00636407i	0.999995	+	0.00318204i	$0.00101287\pi$
$97$			0.0626788i			0.00636407i	−0.999995	+	0.00318204i	$0.998987\pi$
$98$	−3.75982	−	2.17073i	−0.379799	−	0.219277i
$99$	−0.996586	−	1.72614i	−0.100161	−	0.173483i
$100$	−0.502412	−	4.97469i	−0.0502412	−	0.497469i
$101$			9.10771i			0.906251i	0.891447	+	0.453125i	$0.149691\pi$
$101$			9.10771i			0.906251i	−0.891447	+	0.453125i	$0.850309\pi$
$102$	−5.34089	−	1.43109i	−0.528827	−	0.141699i
$103$			18.2385i			1.79710i	0.438874	+	0.898549i	$0.355377\pi$
$103$			18.2385i			1.79710i	−0.438874	+	0.898549i	$0.644623\pi$
$104$	−0.738692	+	1.27945i	−0.0724347	+	0.125461i
$105$	4.95444	+	4.47928i	0.483504	+	0.437133i
$106$	0.705830	+	2.63419i	0.0685563	+	0.255855i
$107$	1.03646	−	0.277719i	0.100199	−	0.0268481i	−0.208371	−	0.978050i	$-0.566816\pi$
$107$	1.03646	−	0.277719i	0.100199	−	0.0268481i	0.308570	+	0.951202i	$0.400150\pi$
$108$	1.25362	+	4.67859i	0.120630	+	0.450198i
$109$	16.0076	+	4.28921i	1.53325	+	0.410832i	0.924076	−	0.382208i	$-0.124836\pi$
$109$	16.0076	+	4.28921i	1.53325	+	0.410832i	0.609169	+	0.793040i	$0.291503\pi$
$110$	−9.28629	−	8.39568i	−0.885413	−	0.800496i
$111$	10.9369	−	2.13461i	1.03808	−	0.202608i
$112$	−1.15294	−	1.15294i	−0.108942	−	0.108942i
$113$	7.06245	−	4.07751i	0.664379	−	0.383580i	−0.129564	−	0.991571i	$-0.541358\pi$
$113$	7.06245	−	4.07751i	0.664379	−	0.383580i	0.793944	+	0.607992i	$0.208025\pi$
$114$	1.51896	−	2.63091i	0.142263	−	0.246408i
$115$	−5.27697	−	16.3539i	−0.492080	−	1.52501i
$116$	9.58317	−	2.56780i	0.889775	−	0.238415i
$117$		−	0.525965i		−	0.0486255i
$118$	−1.89658	−	7.07815i	−0.174595	−	0.651596i
$119$	3.47988	−	3.47988i	0.319000	−	0.319000i
$120$	−2.22404	−	3.44002i	−0.203026	−	0.314029i
$121$	−20.3445			−1.84950
$122$	1.64856	−	1.64856i	0.149254	−	0.149254i
$123$	−1.85378	−	0.496718i	−0.167150	−	0.0447876i
$124$	1.00421	+	3.74778i	0.0901811	+	0.336560i
$125$	9.00482	+	6.62670i	0.805416	+	0.592710i
$126$	0.560698	+	0.150239i	0.0499509	+	0.0133843i
$127$	4.39540	−	16.4038i	0.390028	−	1.45561i	−0.440057	−	0.897970i	$-0.645042\pi$
$127$	4.39540	−	16.4038i	0.390028	−	1.45561i	0.830086	−	0.557636i	$-0.188291\pi$
$128$	0.500000	+	0.866025i	0.0441942	+	0.0765466i
$129$	−1.69296	+	0.453628i	−0.149057	+	0.0399397i
$130$	−1.01446	−	3.14391i	−0.0889736	−	0.275739i
$131$	5.00516	+	1.34113i	0.437303	+	0.117175i	0.470752	−	0.882265i	$-0.343983\pi$
$131$	5.00516	+	1.34113i	0.437303	+	0.117175i	−0.0334494	+	0.999440i	$0.510649\pi$
$132$	−9.90687	−	2.65454i	−0.862282	−	0.231048i
$133$	1.35193	+	2.34162i	0.117227	+	0.203044i
$134$	−2.65985	+	2.65985i	−0.229776	+	0.229776i
$135$	−9.64020	−	4.93665i	−0.829696	−	0.424879i
$136$	−2.61390	+	1.50914i	−0.224140	+	0.129407i
$137$	6.27181	+	6.27181i	0.535837	+	0.535837i	0.922303	−	0.386467i	$-0.126305\pi$
$137$	6.27181	+	6.27181i	0.535837	+	0.535837i	−0.386467	+	0.922303i	$0.626305\pi$
$138$	−9.95501	−	9.95501i	−0.847426	−	0.847426i
$139$	5.26231	+	9.11458i	0.446343	+	0.773089i	0.998145	−	0.0608866i	$-0.0193928\pi$
$139$	5.26231	+	9.11458i	0.446343	+	0.773089i	−0.551802	+	0.833975i	$0.686059\pi$
$140$	3.64130	−	0.183407i	0.307746	−	0.0155007i
$141$	0.400950	+	0.231489i	0.0337661	+	0.0194949i
$142$	0.453277			0.0380382
$143$	−7.16316	−	4.13565i	−0.599014	−	0.345841i
$144$	−0.308315	−	0.178006i	−0.0256929	−	0.0148338i
$145$	−10.1118	+	19.7461i	−0.839735	+	1.63982i
$146$	1.94694	−	7.26606i	0.161130	−	0.601343i
$147$	5.62384	−	5.62384i	0.463846	−	0.463846i
$148$	3.39758	−	5.04544i	0.279279	−	0.414733i
$149$		−	12.9022i		−	1.05699i	−0.848937	−	0.528495i	$-0.822757\pi$
$149$		−	12.9022i		−	1.05699i	0.848937	−	0.528495i	$-0.177243\pi$
$150$	9.04104	+	1.46968i	0.738197	+	0.119999i
$151$	7.74225	+	4.46999i	0.630055	+	0.363763i	0.780774	−	0.624814i	$-0.214825\pi$
$151$	7.74225	+	4.46999i	0.630055	+	0.363763i	−0.150718	+	0.988577i	$0.548159\pi$
$152$	−0.429201	−	1.60180i	−0.0348128	−	0.129923i
$153$	0.537270	−	0.930578i	0.0434357	−	0.0752328i
$154$	6.45487	−	6.45487i	0.520148	−	0.520148i
$155$	−7.72227	−	3.95450i	−0.620268	−	0.317633i
$156$	−1.91377	−	1.91377i	−0.153224	−	0.153224i
$157$	−5.57469	+	20.8050i	−0.444908	+	1.66042i	0.271270	+	0.962503i	$0.412556\pi$
$157$	−5.57469	+	20.8050i	−0.444908	+	1.66042i	−0.716178	+	0.697918i	$0.754110\pi$
$158$	10.6751	−	10.6751i	0.849269	−	0.849269i
$159$	−4.99592			−0.396202
$160$	−2.18625	−	0.469352i	−0.172839	−	0.0371055i
$161$	12.1035	−	3.24311i	0.953887	−	0.255593i
$162$	−9.94129			−0.781062
$163$	−5.79936	+	3.34826i	−0.454241	+	0.262256i	−0.709620	−	0.704585i	$-0.751133\pi$
$163$	−5.79936	+	3.34826i	−0.454241	+	0.262256i	0.255379	+	0.966841i	$0.417800\pi$
$164$	−0.907262	+	0.523808i	−0.0708453	+	0.0409025i
$165$	19.2593	−	12.4515i	1.49934	−	0.969351i
$166$	4.13901	+	15.4470i	0.321250	+	1.19892i
$167$	13.8803	+	8.01379i	1.07409	+	0.620126i	0.929296	−	0.369336i	$-0.120415\pi$
$167$	13.8803	+	8.01379i	1.07409	+	0.620126i	0.144793	+	0.989462i	$0.453748\pi$
$168$	2.58680	−	1.49349i	0.199576	−	0.115225i
$169$	5.40867	+	9.36809i	0.416051	+	0.720622i
$170$	1.41663	−	6.59871i	0.108651	−	0.506098i
$171$	0.417458	+	0.417458i	0.0319238	+	0.0319238i
$172$	−0.478368	+	0.828557i	−0.0364752	+	0.0631769i
$173$	−2.50100	+	9.33385i	−0.190147	+	0.709640i	0.803322	+	0.595544i	$0.203064\pi$
$173$	−2.50100	+	9.33385i	−0.190147	+	0.709640i	−0.993470	+	0.114095i	$0.963603\pi$
$174$			18.1751i			1.37785i
$175$	−5.15627	+	6.31477i	−0.389777	+	0.477352i
$176$	−4.84855	+	2.79931i	−0.365473	+	0.211006i
$177$	13.4242			1.00902
$178$	−8.21484	+	2.20116i	−0.615728	+	0.164984i
$179$	−17.1000	−	17.1000i	−1.27811	−	1.27811i	−0.941723	−	0.336391i	$-0.890794\pi$
$179$	−17.1000	−	17.1000i	−1.27811	−	1.27811i	−0.336391	−	0.941723i	$-0.609206\pi$
$180$	0.757602	−	0.244458i	0.0564683	−	0.0182208i
$181$	6.83928	−	11.8460i	0.508360	−	0.880505i	−0.491593	−	0.870825i	$-0.663585\pi$
$181$	6.83928	−	11.8460i	0.508360	−	0.880505i	0.999953	−	0.00967999i	$-0.00308129\pi$
$182$	2.32680	−	0.623463i	0.172474	−	0.0462142i
$183$	2.13551	+	3.69881i	0.157861	+	0.273424i
$184$	−7.68502			−0.566547
$185$	3.27376	+	13.2016i	0.240691	+	0.970602i
$186$	−7.10791			−0.521177
$187$	−8.44908	−	14.6342i	−0.617858	−	1.07016i
$188$	0.244114	−	0.0654100i	0.0178038	−	0.00477052i
$189$	3.94878	−	6.83948i	0.287231	−	0.497499i
$190$	3.30049	+	1.69015i	0.239443	+	0.122616i
$191$	15.2450	+	15.2450i	1.10309	+	1.10309i	0.994036	+	0.109055i	$0.0347826\pi$
$191$	15.2450	+	15.2450i	1.10309	+	1.10309i	0.109055	+	0.994036i	$0.465217\pi$
$192$	−1.76952	+	0.474141i	−0.127704	+	0.0342182i
$193$	−3.82455			−0.275297			−0.137648	−	0.990481i	$-0.543954\pi$
$193$	−3.82455			−0.275297			−0.137648	+	0.990481i	$0.543954\pi$
$194$	−0.0542815	+	0.0313394i	−0.00389718	+	0.00225004i
$195$	6.04421	−	0.304439i	0.432835	−	0.0218013i
$196$		−	4.34146i		−	0.310105i
$197$	4.42498	−	16.5142i	0.315267	−	1.17659i	−0.608475	−	0.793573i	$-0.708218\pi$
$197$	4.42498	−	16.5142i	0.315267	−	1.17659i	0.923741	−	0.383017i	$-0.125115\pi$
$198$	0.996586	−	1.72614i	0.0708243	−	0.122671i
$199$	8.81628	+	8.81628i	0.624969	+	0.624969i	0.946798	−	0.321829i	$-0.104298\pi$
$199$	8.81628	+	8.81628i	0.624969	+	0.624969i	−0.321829	+	0.946798i	$0.604298\pi$
$200$	4.05701	−	2.92245i	0.286874	−	0.206648i
$201$	−3.44552	−	5.96781i	−0.243028	−	0.420937i
$202$	−7.88751	+	4.55385i	−0.554963	+	0.320408i
$203$	−14.0093	−	8.08829i	−0.983262	−	0.567687i
$204$	−1.43109	−	5.34089i	−0.100196	−	0.373937i
$205$	0.491701	−	2.29036i	0.0343419	−	0.159965i
$206$	−15.7950	+	9.11927i	−1.10049	+	0.635370i
$207$	2.36941	−	1.36798i	0.164685	−	0.0950810i
$208$	−1.47738			−0.102438
$209$	8.96786	−	2.40293i	0.620320	−	0.166214i
$210$	−1.40195	+	6.53031i	−0.0967435	+	0.450634i
$211$	−8.51765			−0.586380			−0.293190	−	0.956054i	$-0.594717\pi$
$211$	−8.51765			−0.586380			−0.293190	+	0.956054i	$0.594717\pi$
$212$	−1.92836	+	1.92836i	−0.132441	+	0.132441i
$213$	−0.214918	+	0.802084i	−0.0147259	+	0.0549579i
$214$	0.758742	+	0.758742i	0.0518666	+	0.0518666i
$215$	−0.656949	−	2.03596i	−0.0448035	−	0.138851i
$216$	−3.42497	+	3.42497i	−0.233039	+	0.233039i
$217$	3.16316	−	5.47876i	0.214729	−	0.371922i
$218$	4.28921	+	16.0076i	0.290502	+	1.08417i
$219$	11.9343	+	6.89028i	0.806446	+	0.465602i
$220$	2.62772	−	12.2400i	0.177161	−	0.825221i
$221$		−	4.45915i		−	0.299955i
$222$	7.31708	+	8.40433i	0.491090	+	0.564062i
$223$	0.768727	−	0.768727i	0.0514778	−	0.0514778i	−0.680899	−	0.732377i	$-0.738411\pi$
$223$	0.768727	−	0.768727i	0.0514778	−	0.0514778i	0.732377	+	0.680899i	$0.238411\pi$
$224$	0.422005	−	1.57494i	0.0281964	−	0.105230i
$225$	−0.730623	+	1.62320i	−0.0487082	+	0.108214i
$226$	7.06245	+	4.07751i	0.469787	+	0.271232i
$227$	−2.33515	−	1.34820i	−0.154990	−	0.0894833i	0.420499	−	0.907293i	$-0.361855\pi$
$227$	−2.33515	−	1.34820i	−0.154990	−	0.0894833i	−0.575489	+	0.817810i	$0.695188\pi$
$228$	3.03792			0.201191
$229$	13.4731	+	7.77869i	0.890327	+	0.514030i	0.874049	−	0.485837i	$-0.161485\pi$
$229$	13.4731	+	7.77869i	0.890327	+	0.514030i	0.0162773	+	0.999868i	$0.494819\pi$
$230$	11.5244	−	12.7470i	0.759899	−	0.840509i
$231$	8.36149	+	14.4825i	0.550146	+	0.952881i
$232$	7.01537	+	7.01537i	0.460582	+	0.460582i
$233$	−16.5158	−	16.5158i	−1.08198	−	1.08198i	−0.996325	−	0.0856587i	$-0.972701\pi$
$233$	−16.5158	−	16.5158i	−1.08198	−	1.08198i	−0.0856587	−	0.996325i	$-0.527299\pi$
$234$	0.455499	−	0.262983i	0.0297769	−	0.0171917i
$235$	−0.257578	+	0.502994i	−0.0168025	+	0.0328117i
$236$	5.18156	−	5.18156i	0.337291	−	0.337291i
$237$	13.8284	+	23.9514i	0.898248	+	1.55581i
$238$	4.75361	+	1.27373i	0.308131	+	0.0825634i
$239$	1.99032	+	0.533304i	0.128743	+	0.0344966i	0.322615	−	0.946530i	$-0.395438\pi$
$239$	1.99032	+	0.533304i	0.128743	+	0.0344966i	−0.193872	+	0.981027i	$0.562105\pi$
$240$	1.86712	−	3.64608i	0.120522	−	0.235354i
$241$	−21.7006	+	5.81466i	−1.39786	+	0.374555i	−0.877576	−	0.479438i	$-0.840841\pi$
$241$	−21.7006	+	5.81466i	−1.39786	+	0.374555i	−0.520284	+	0.853993i	$0.674174\pi$
$242$	−10.1723	−	17.6189i	−0.653898	−	1.13258i
$243$	0.952704	−	3.55554i	0.0611160	−	0.228088i
$244$	2.25197	+	0.603415i	0.144168	+	0.0386297i
$245$	7.20108	+	6.51045i	0.460060	+	0.415937i
$246$	−0.496718	−	1.85378i	−0.0316696	−	0.118193i
$247$	2.36647	+	0.634094i	0.150575	+	0.0403464i
$248$	−2.74356	+	2.74356i	−0.174217	+	0.174217i
$249$	−29.2963			−1.85658
$250$	−1.23648	+	11.1118i	−0.0782020	+	0.702769i
$251$	16.0879	−	16.0879i	1.01546	−	1.01546i	0.0155790	−	0.999879i	$-0.495041\pi$
$251$	16.0879	−	16.0879i	1.01546	−	1.01546i	0.999879	−	0.0155790i	$-0.00495915\pi$
$252$	0.150239	+	0.560698i	0.00946414	+	0.0353207i
$253$		−	43.0255i		−	2.70499i
$254$	16.4038	−	4.39540i	1.02927	−	0.275792i
$255$	11.0049	+	5.63548i	0.689152	+	0.352908i
$256$	−0.500000	+	0.866025i	−0.0312500	+	0.0541266i
$257$	15.0872	−	8.71062i	0.941116	−	0.543353i	0.0508057	−	0.998709i	$-0.483821\pi$
$257$	15.0872	−	8.71062i	0.941116	−	0.543353i	0.890310	+	0.455355i	$0.150488\pi$
$258$	−1.23933	−	1.23933i	−0.0771576	−	0.0771576i
$259$	−9.73428	+	1.89989i	−0.604859	+	0.118053i
$260$	2.21548	−	2.45050i	0.137398	−	0.151974i
$261$	−3.41172	−	0.914167i	−0.211180	−	0.0565855i
$262$	1.34113	+	5.00516i	0.0828552	+	0.309220i
$263$	−12.7816	+	3.42482i	−0.788147	+	0.211183i	−0.630374	−	0.776292i	$-0.717098\pi$
$263$	−12.7816	+	3.42482i	−0.788147	+	0.211183i	−0.157774	+	0.987475i	$0.550432\pi$
$264$	−2.65454	−	9.90687i	−0.163375	−	0.609726i
$265$	−0.306760	−	6.09030i	−0.0188441	−	0.374124i
$266$	−1.35193	+	2.34162i	−0.0828924	+	0.143574i
$267$		−	15.5800i		−	0.953479i
$268$	−3.63343	−	0.973574i	−0.221947	−	0.0594705i
$269$		−	14.7645i		−	0.900206i	−0.892977	−	0.450103i	$-0.851387\pi$
$269$		−	14.7645i		−	0.900206i	0.892977	−	0.450103i	$-0.148613\pi$
$270$	−0.544837	−	10.8170i	−0.0331577	−	0.658301i
$271$	−11.2125	−	19.4207i	−0.681113	−	1.17972i	−0.974641	−	0.223772i	$-0.928163\pi$
$271$	−11.2125	−	19.4207i	−0.681113	−	1.17972i	0.293528	−	0.955950i	$-0.405171\pi$
$272$	−2.61390	−	1.50914i	−0.158491	−	0.0915048i
$273$			4.41292i			0.267082i
$274$	−2.29564	+	8.56745i	−0.138685	+	0.517578i
$275$	16.3617	+	22.7136i	0.986646	+	1.36968i
$276$	3.64378	−	13.5988i	0.219330	−	0.818551i
$277$	−1.00364	+	1.73836i	−0.0603032	+	0.104448i	−0.894601	−	0.446866i	$-0.852540\pi$
$277$	−1.00364	+	1.73836i	−0.0603032	+	0.104448i	0.834298	+	0.551314i	$0.185873\pi$
$278$	−5.26231	+	9.11458i	−0.315612	+	0.546656i
$279$	0.357512	−	1.33425i	0.0214037	−	0.0798796i
$280$	1.97948	+	3.06175i	0.118297	+	0.182975i
$281$	1.11498	−	4.16116i	0.0665142	−	0.248234i	−0.924661	−	0.380791i	$-0.875652\pi$
$281$	1.11498	−	4.16116i	0.0665142	−	0.248234i	0.991175	+	0.132556i	$0.0423185\pi$
$282$			0.462978i			0.0275699i
$283$	9.43413	+	5.44680i	0.560801	+	0.323779i	0.753467	−	0.657486i	$-0.228380\pi$
$283$	9.43413	+	5.44680i	0.560801	+	0.323779i	−0.192666	+	0.981264i	$0.561713\pi$
$284$	0.226639	+	0.392550i	0.0134485	+	0.0232935i
$285$	−4.55565	+	5.03892i	−0.269854	+	0.298480i
$286$		−	8.27131i		−	0.489093i
$287$	1.64994	+	0.442099i	0.0973927	+	0.0260963i
$288$		−	0.356011i		−	0.0209782i
$289$	−3.94502	+	6.83297i	−0.232060	+	0.401939i
$290$	−22.1565	+	1.11599i	−1.30107	+	0.0655333i
$291$	−0.0297186	−	0.110911i	−0.00174214	−	0.00650174i
$292$	7.26606	−	1.94694i	0.425214	−	0.113936i
$293$	2.05414	+	7.66616i	0.120004	+	0.447862i	0.999612	−	0.0278369i	$-0.00886190\pi$
$293$	2.05414	+	7.66616i	0.120004	+	0.447862i	−0.879608	+	0.475699i	$0.842195\pi$
$294$	7.68231	+	2.05847i	0.448041	+	0.120052i
$295$	0.824273	+	16.3648i	0.0479910	+	0.952796i
$296$	6.06827	+	0.419666i	0.352711	+	0.0243926i
$297$	−19.1751	−	19.1751i	−1.11265	−	1.11265i
$298$	11.1736	−	6.45110i	0.647271	−	0.373702i
$299$	5.67686	−	9.83261i	0.328301	−	0.568634i
$300$	3.24774	+	8.56461i	0.187508	+	0.494478i
$301$	1.50680	−	0.403747i	0.0868508	−	0.0232716i
$302$			8.93998i			0.514438i
$303$	−4.31834	−	16.1163i	−0.248082	−	0.925856i
$304$	1.17260	−	1.17260i	0.0672531	−	0.0672531i
$305$	−4.37793	+	2.83042i	−0.250679	+	0.162069i
$306$	1.07454			0.0614273
$307$	−0.880068	+	0.880068i	−0.0502281	+	0.0502281i	−0.731775	−	0.681547i	$-0.761308\pi$
$307$	−0.880068	+	0.880068i	−0.0502281	+	0.0502281i	0.681547	+	0.731775i	$0.261308\pi$
$308$	8.81751	+	2.36264i	0.502424	+	0.134624i
$309$	−8.64765	−	32.2735i	−0.491948	−	1.83597i
$310$	−0.436441	−	8.66493i	−0.0247882	−	0.492135i
$311$	−5.54344	−	1.48536i	−0.314339	−	0.0842270i	0.0982001	−	0.995167i	$-0.468691\pi$
$311$	−5.54344	−	1.48536i	−0.314339	−	0.0842270i	−0.412540	+	0.910940i	$0.635358\pi$
$312$	0.700489	−	2.61426i	0.0396574	−	0.148003i
$313$	10.2630	+	17.7760i	0.580099	+	1.00476i	0.995467	+	0.0951073i	$0.0303194\pi$
$313$	10.2630	+	17.7760i	0.580099	+	1.00476i	−0.415368	+	0.909653i	$0.636347\pi$
$314$	−20.8050	+	5.57469i	−1.17409	+	0.314598i
$315$	−1.15531	−	0.591624i	−0.0650946	−	0.0333343i
$316$	14.5825	+	3.90738i	0.820331	+	0.219807i
$317$	−25.7593	−	6.90217i	−1.44678	−	0.387665i	−0.551880	−	0.833923i	$-0.686089\pi$
$317$	−25.7593	−	6.90217i	−1.44678	−	0.387665i	−0.894904	+	0.446259i	$0.852756\pi$
$318$	−2.49796	−	4.32659i	−0.140079	−	0.242623i
$319$	−39.2764	+	39.2764i	−2.19906	+	2.19906i
$320$	−0.686657	−	2.12803i	−0.0383853	−	0.118960i
$321$	−1.70236	+	0.982859i	−0.0950165	+	0.0548578i
$322$	8.86035	+	8.86035i	0.493768	+	0.493768i
$323$	3.53922	+	3.53922i	0.196927	+	0.196927i
$324$	−4.97065	−	8.60941i	−0.276147	−	0.478301i
$325$	0.742255	+	7.34953i	0.0411729	+	0.407679i
$326$	−5.79936	−	3.34826i	−0.321197	−	0.185443i
$327$	−30.3594			−1.67888
$328$	−0.907262	−	0.523808i	−0.0500952	−	0.0289225i
$329$	−0.356862	−	0.206034i	−0.0196744	−	0.0113590i
$330$	20.4130	+	10.4533i	1.12370	+	0.575435i
$331$	−5.98450	+	22.3345i	−0.328938	+	1.22761i	0.581356	+	0.813650i	$0.302523\pi$
$331$	−5.98450	+	22.3345i	−0.328938	+	1.22761i	−0.910294	+	0.413963i	$0.864144\pi$
$332$	−11.3080	+	11.3080i	−0.620607	+	0.620607i
$333$	−1.94564	+	0.950797i	−0.106620	+	0.0521034i
$334$			16.0276i			0.876990i
$335$	7.06352	−	4.56671i	0.385922	−	0.249506i
$336$	2.58680	+	1.49349i	0.141122	+	0.0814767i
$337$	−0.252906	−	0.943858i	−0.0137767	−	0.0514152i	0.958695	−	0.284435i	$-0.0918060\pi$
$337$	−0.252906	−	0.943858i	−0.0137767	−	0.0514152i	−0.972472	+	0.233020i	$0.925139\pi$
$338$	−5.40867	+	9.36809i	−0.294193	+	0.509557i
$339$	−10.5638	+	10.5638i	−0.573748	+	0.573748i
$340$	6.42297	−	2.07252i	0.348334	−	0.112398i
$341$	−15.3602	−	15.3602i	−0.831800	−	0.831800i
$342$	−0.152800	+	0.570258i	−0.00826249	+	0.0308360i
$343$	−13.0760	+	13.0760i	−0.706038	+	0.706038i
$344$	−0.956735			−0.0515837
$345$	17.0918	+	26.4366i	0.920190	+	1.42330i
$346$	−9.33385	+	2.50100i	−0.501791	+	0.134455i
$347$	−22.6079			−1.21366			−0.606829	−	0.794832i	$-0.707559\pi$
$347$	−22.6079			−1.21366			−0.606829	+	0.794832i	$0.707559\pi$
$348$	−15.7401	+	9.08756i	−0.843759	+	0.487144i
$349$	4.46502	−	2.57788i	0.239007	−	0.137991i	−0.375713	−	0.926736i	$-0.622602\pi$
$349$	4.46502	−	2.57788i	0.239007	−	0.137991i	0.614720	+	0.788745i	$0.289269\pi$
$350$	−8.04688	−	1.30807i	−0.430124	−	0.0699195i
$351$	−1.85208	−	6.91207i	−0.0988570	−	0.368939i
$352$	−4.84855	−	2.79931i	−0.258428	−	0.149204i
$353$	15.2080	−	8.78032i	0.809438	−	0.467329i	−0.0373225	−	0.999303i	$-0.511883\pi$
$353$	15.2080	−	8.78032i	0.809438	−	0.467329i	0.846761	+	0.531974i	$0.178550\pi$
$354$	6.71209	+	11.6257i	0.356743	+	0.617898i
$355$	−0.990980	−	0.212747i	−0.0525957	−	0.0112914i
$356$	−6.01368	−	6.01368i	−0.318724	−	0.318724i
$357$	−4.50777	+	7.80768i	−0.238576	+	0.413226i
$358$	6.25903	−	23.3590i	0.330800	−	1.23456i
$359$			20.4387i			1.07871i	0.842077	+	0.539357i	$0.181333\pi$
$359$			20.4387i			1.07871i	−0.842077	+	0.539357i	$0.818667\pi$
$360$	0.590508	+	0.533874i	0.0311225	+	0.0281376i
$361$	14.0729	−	8.12501i	0.740681	−	0.427632i
$362$	13.6786			0.718929
$363$	36.0001	−	9.64619i	1.88951	−	0.506293i
$364$	1.70333	+	1.70333i	0.0892789	+	0.0892789i
$365$	−7.66684	+	14.9717i	−0.401301	+	0.783653i
$366$	−2.13551	+	3.69881i	−0.111625	+	0.193340i
$367$	5.45024	−	1.46039i	0.284500	−	0.0762316i	−0.113747	−	0.993510i	$-0.536285\pi$
$367$	5.45024	−	1.46039i	0.284500	−	0.0762316i	0.398247	+	0.917278i	$0.369619\pi$
$368$	−3.84251	−	6.65542i	−0.200305	−	0.346938i
$369$	0.372963			0.0194157
$370$	−9.79605	+	9.43596i	−0.509273	+	0.490552i
$371$	4.44657			0.230854
$372$	−3.55395	−	6.15563i	−0.184264	−	0.319155i
$373$	11.6643	−	3.12544i	0.603954	−	0.161829i	0.0561315	−	0.998423i	$-0.482123\pi$
$373$	11.6643	−	3.12544i	0.603954	−	0.161829i	0.547823	+	0.836594i	$0.315457\pi$
$374$	8.44908	−	14.6342i	0.436891	−	0.756718i
$375$	−19.0762	−	7.45652i	−0.985091	−	0.385053i
$376$	0.178704	+	0.178704i	0.00921593	+	0.00921593i
$377$	−14.1580	+	3.79363i	−0.729175	+	0.195382i
$378$	7.89755			0.406206
$379$	25.5143	−	14.7307i	1.31058	−	0.756665i	0.328390	−	0.944542i	$-0.393494\pi$
$379$	25.5143	−	14.7307i	1.31058	−	0.756665i	0.982193	+	0.187877i	$0.0601606\pi$
$380$	0.186535	+	3.70338i	0.00956902	+	0.189980i
$381$			31.1110i			1.59386i
$382$	−5.58006	+	20.8251i	−0.285501	+	1.06550i
$383$	−10.5609	+	18.2921i	−0.539638	+	0.934680i	0.459285	+	0.888289i	$0.348106\pi$
$383$	−10.5609	+	18.2921i	−0.539638	+	0.934680i	−0.998923	+	0.0463915i	$0.985228\pi$
$384$	−1.29538	−	1.29538i	−0.0661045	−	0.0661045i
$385$	−17.1416	+	11.0824i	−0.873616	+	0.564810i
$386$	−1.91227	−	3.31215i	−0.0973321	−	0.168584i
$387$	0.294976	−	0.170304i	0.0149945	−	0.00865706i
$388$	−0.0542815	−	0.0313394i	−0.00275572	−	0.00159102i
$389$	0.504618	+	1.88326i	0.0255851	+	0.0954850i	0.977538	−	0.210760i	$-0.0675939\pi$
$389$	0.504618	+	1.88326i	0.0255851	+	0.0954850i	−0.951953	+	0.306245i	$0.900927\pi$
$390$	3.28576	+	5.08222i	0.166381	+	0.257348i
$391$	20.0879	−	11.5977i	1.01589	−	0.586523i
$392$	3.75982	−	2.17073i	0.189899	−	0.109639i
$393$	−9.49261			−0.478839
$394$	16.5142	−	4.42498i	0.831975	−	0.222927i
$395$	−28.3490	+	18.3282i	−1.42639	+	0.922191i
$396$	1.99317			0.100161
$397$	−26.4415	+	26.4415i	−1.32706	+	1.32706i	−0.419142	+	0.907921i	$0.637669\pi$
$397$	−26.4415	+	26.4415i	−1.32706	+	1.32706i	−0.907921	+	0.419142i	$0.862331\pi$
$398$	−3.22698	+	12.0433i	−0.161754	+	0.603674i
$399$	−3.50253	−	3.50253i	−0.175346	−	0.175346i
$400$	4.55942	+	2.05225i	0.227971	+	0.102612i
$401$	12.7756	−	12.7756i	0.637983	−	0.637983i	−0.312075	−	0.950058i	$-0.601024\pi$
$401$	12.7756	−	12.7756i	0.637983	−	0.637983i	0.950058	+	0.312075i	$0.101024\pi$
$402$	3.44552	−	5.96781i	0.171847	−	0.297647i
$403$	−1.48361	−	5.53691i	−0.0739039	−	0.275813i
$404$	−7.88751	−	4.55385i	−0.392418	−	0.226563i
$405$	21.7342	+	4.66596i	1.07998	+	0.231854i
$406$		−	16.1766i		−	0.802830i
$407$	−2.34955	+	33.9739i	−0.116463	+	1.68402i
$408$	3.90981	−	3.90981i	0.193564	−	0.193564i
$409$	−7.47488	+	27.8966i	−0.369609	+	1.37940i	0.491455	+	0.870903i	$0.336465\pi$
$409$	−7.47488	+	27.8966i	−0.369609	+	1.37940i	−0.861064	+	0.508496i	$0.830202\pi$
$410$	2.22936	−	0.719353i	0.110100	−	0.0355263i
$411$	−14.0718	−	8.12436i	−0.694111	−	0.400745i
$412$	−15.7950	−	9.11927i	−0.778166	−	0.449274i
$413$	−11.9481			−0.587925
$414$	2.36941	+	1.36798i	0.116450	+	0.0672324i
$415$	−1.79885	−	35.7138i	−0.0883023	−	1.75312i
$416$	−0.738692	−	1.27945i	−0.0362173	−	0.0627303i
$417$	−13.6334	−	13.6334i	−0.667628	−	0.667628i
$418$	6.56493	+	6.56493i	0.321101	+	0.321101i
$419$	9.58656	−	5.53480i	0.468334	−	0.270393i	−0.247208	−	0.968962i	$-0.579513\pi$
$419$	9.58656	−	5.53480i	0.468334	−	0.270393i	0.715542	+	0.698570i	$0.246180\pi$
$420$	−6.35639	+	2.05103i	−0.310160	+	0.100080i
$421$	0.619335	−	0.619335i	0.0301845	−	0.0301845i	−0.691853	−	0.722038i	$-0.743206\pi$
$421$	0.619335	−	0.619335i	0.0301845	−	0.0301845i	0.722038	+	0.691853i	$0.243206\pi$
$422$	−4.25883	−	7.37651i	−0.207316	−	0.359083i
$423$	−0.0869072	−	0.0232867i	−0.00422557	−	0.00113224i
$424$	−2.63419	−	0.705830i	−0.127928	−	0.0342781i
$425$	−6.19424	+	13.7616i	−0.300465	+	0.667534i
$426$	−0.802084	+	0.214918i	−0.0388611	+	0.0104128i
$427$	−1.90069	−	3.29209i	−0.0919808	−	0.159315i
$428$	−0.277719	+	1.03646i	−0.0134241	+	0.0500993i
$429$	14.6362	+	3.92177i	0.706645	+	0.189345i
$430$	1.43472	−	1.58691i	0.0691883	−	0.0765278i
$431$	−1.56454	−	5.83894i	−0.0753612	−	0.281252i	0.917954	−	0.396687i	$-0.129840\pi$
$431$	−1.56454	−	5.83894i	−0.0753612	−	0.281252i	−0.993315	+	0.115436i	$0.963174\pi$
$432$	−4.67859	−	1.25362i	−0.225099	−	0.0603150i
$433$	23.2209	−	23.2209i	1.11592	−	1.11592i	0.123590	−	0.992333i	$-0.460559\pi$
$433$	23.2209	−	23.2209i	1.11592	−	1.11592i	0.992333	−	0.123590i	$-0.0394407\pi$
$434$	6.32632			0.303673
$435$	8.53053	−	39.7354i	0.409007	−	1.90517i
$436$	−11.7183	+	11.7183i	−0.561207	+	0.561207i
$437$	3.29841	+	12.3098i	0.157784	+	0.588860i
$438$			13.7806i			0.658461i
$439$	3.04743	−	0.816558i	0.145446	−	0.0389722i	−0.185361	−	0.982670i	$-0.559346\pi$
$439$	3.04743	−	0.816558i	0.145446	−	0.0389722i	0.330808	+	0.943698i	$0.392679\pi$
$440$	11.9140	−	3.84433i	0.567978	−	0.183271i
$441$	−0.772805	+	1.33854i	−0.0368003	+	0.0637399i
$442$	3.86173	−	2.22957i	0.183684	−	0.106050i
$443$	−16.6425	−	16.6425i	−0.790711	−	0.790711i	0.190899	−	0.981610i	$-0.438860\pi$
$443$	−16.6425	−	16.6425i	−0.790711	−	0.790711i	−0.981610	+	0.190899i	$0.938860\pi$
$444$	−3.61983	+	10.5389i	−0.171789	+	0.500156i
$445$	18.9928	−	0.956644i	0.900347	−	0.0453493i
$446$	1.05010	+	0.281374i	0.0497237	+	0.0133234i
$447$	6.11747	+	22.8307i	0.289346	+	1.07986i
$448$	1.57494	−	0.422005i	0.0744091	−	0.0199379i
$449$	−10.3040	−	38.4550i	−0.486275	−	1.81480i	−0.574248	−	0.818681i	$-0.694706\pi$
$449$	−10.3040	−	38.4550i	−0.486275	−	1.81480i	0.0879729	−	0.996123i	$-0.471961\pi$
$450$	−1.77105	+	0.178864i	−0.0834880	+	0.00843175i
$451$	2.93260	−	5.07942i	0.138091	−	0.239180i
$452$			8.15501i			0.383580i
$453$	−15.8195	−	4.23882i	−0.743264	−	0.199157i
$454$		−	2.69640i		−	0.126548i
$455$	−5.37959	+	0.270963i	−0.252199	+	0.0127029i
$456$	1.51896	+	2.63091i	0.0711317	+	0.123204i
$457$	14.8544	+	8.57616i	0.694857	+	0.401176i	0.805429	−	0.592692i	$-0.201935\pi$
$457$	14.8544	+	8.57616i	0.694857	+	0.401176i	−0.110572	+	0.993868i	$0.535268\pi$
$458$			15.5574i			0.726949i
$459$	3.78378	−	14.1213i	0.176612	−	0.659124i
$460$	16.8014	+	3.60698i	0.783369	+	0.168176i
$461$	0.790678	−	2.95085i	0.0368255	−	0.137435i	−0.945066	−	0.326881i	$-0.894002\pi$
$461$	0.790678	−	2.95085i	0.0368255	−	0.137435i	0.981891	+	0.189446i	$0.0606692\pi$
$462$	−8.36149	+	14.4825i	−0.389012	+	0.673788i
$463$	−1.99019	+	3.44711i	−0.0924918	+	0.160201i	−0.908559	−	0.417756i	$-0.862817\pi$
$463$	−1.99019	+	3.44711i	−0.0924918	+	0.160201i	0.816067	+	0.577957i	$0.196150\pi$
$464$	−2.56780	+	9.58317i	−0.119207	+	0.444888i
$465$	15.5397	+	3.33611i	0.720636	+	0.154708i
$466$	6.04519	−	22.5609i	0.280038	−	1.04512i
$467$			11.3219i			0.523915i	0.965079	+	0.261958i	$0.0843681\pi$
$467$			11.3219i			0.523915i	−0.965079	+	0.261958i	$0.915632\pi$
$468$	0.455499	+	0.262983i	0.0210555	+	0.0121564i
$469$	3.06665	+	5.31159i	0.141605	+	0.245266i
$470$	−0.564395	+	0.0284278i	−0.0260336	+	0.00131128i
$471$		−	39.4581i		−	1.81813i
$472$	7.07815	+	1.89658i	0.325798	+	0.0872974i
$473$		−	5.35640i		−	0.246287i
$474$	−13.8284	+	23.9514i	−0.635158	+	1.10013i
$475$	−6.42244	−	5.24419i	−0.294682	−	0.240620i
$476$	1.27373	+	4.75361i	0.0583811	+	0.217881i
$477$	0.937803	−	0.251284i	0.0429390	−	0.0115055i
$478$	0.533304	+	1.99032i	0.0243928	+	0.0910350i
$479$	28.0237	+	7.50892i	1.28043	+	0.343091i	0.834019	−	0.551735i	$-0.186034\pi$
$479$	28.0237	+	7.50892i	1.28043	+	0.343091i	0.446414	+	0.894826i	$0.352701\pi$
$480$	4.09116	−	0.206066i	0.186735	−	0.00940559i
$481$	−5.01952	+	7.45405i	−0.228871	+	0.339876i
$482$	−15.8860	−	15.8860i	−0.723586	−	0.723586i
$483$	−19.8796	+	11.4775i	−0.904555	+	0.522245i
$484$	10.1723	−	17.6189i	0.462376	−	0.800858i
$485$	0.133382	−	0.0430388i	0.00605658	−	0.00195429i
$486$	3.55554	−	0.952704i	0.161283	−	0.0432155i
$487$			11.7934i			0.534409i	0.963640	+	0.267204i	$0.0860999\pi$
$487$			11.7934i			0.534409i	−0.963640	+	0.267204i	$0.913900\pi$
$488$	0.603415	+	2.25197i	0.0273153	+	0.101942i
$489$	8.67453	−	8.67453i	0.392276	−	0.392276i
$490$	−2.03767	+	9.49154i	−0.0920527	+	0.428784i
$491$	10.1723			0.459068			0.229534	−	0.973301i	$-0.426280\pi$
$491$	10.1723			0.459068			0.229534	+	0.973301i	$0.426280\pi$
$492$	1.35706	−	1.35706i	0.0611810	−	0.0611810i
$493$	−28.9246	−	7.75033i	−1.30270	−	0.349057i
$494$	0.634094	+	2.36647i	0.0285292	+	0.106473i
$495$	−2.98896	+	3.30603i	−0.134344	+	0.148595i
$496$	−3.74778	−	1.00421i	−0.168280	−	0.0450906i
$497$	0.191285	−	0.713887i	0.00858032	−	0.0320222i
$498$	−14.6481	−	25.3713i	−0.656399	−	1.13692i
$499$	16.3827	−	4.38972i	0.733389	−	0.196511i	0.127251	−	0.991871i	$-0.459385\pi$
$499$	16.3827	−	4.38972i	0.733389	−	0.196511i	0.606138	+	0.795359i	$0.292718\pi$
$500$	−10.2413	+	4.48505i	−0.458005	+	0.200578i
$501$	−28.3611	−	7.59934i	−1.26708	−	0.339513i
$502$	21.9764	+	5.88857i	0.980857	+	0.262820i
$503$	19.4521	+	33.6921i	0.867327	+	1.50226i	0.864717	+	0.502259i	$0.167497\pi$
$503$	19.4521	+	33.6921i	0.867327	+	1.50226i	0.00261008	+	0.999997i	$0.499169\pi$
$504$	−0.410459	+	0.410459i	−0.0182833	+	0.0182833i
$505$	19.3815	−	6.25387i	0.862464	−	0.278293i
$506$	37.2612	−	21.5127i	1.65646	−	0.956358i
$507$	−14.0125	−	14.0125i	−0.622319	−	0.622319i
$508$	12.0084	+	12.0084i	0.532789	+	0.532789i
$509$	−7.85123	−	13.5987i	−0.348000	−	0.602753i	0.637894	−	0.770124i	$-0.279806\pi$
$509$	−7.85123	−	13.5987i	−0.348000	−	0.602753i	−0.985894	+	0.167371i	$0.946472\pi$
$510$	0.621964	+	12.3482i	0.0275410	+	0.546789i
$511$	−10.6220	−	6.13263i	−0.469891	−	0.271291i
$512$	−1.00000			−0.0441942
$513$	6.95610	+	4.01611i	0.307119	+	0.177315i
$514$	15.0872	+	8.71062i	0.665469	+	0.384209i
$515$	38.8121	−	12.5236i	1.71027	−	0.551856i
$516$	0.453628	−	1.69296i	0.0199699	−	0.0745285i
$517$	−1.00049	+	1.00049i	−0.0440016	+	0.0440016i
$518$	−6.51249	−	7.48019i	−0.286143	−	0.328661i
$519$		−	17.7023i		−	0.777043i
$520$	3.22994	+	0.693413i	0.141642	+	0.0304082i
$521$	−27.3995	−	15.8191i	−1.20039	−	0.693048i	−0.239752	−	0.970834i	$-0.577066\pi$
$521$	−27.3995	−	15.8191i	−1.20039	−	0.693048i	−0.960643	+	0.277786i	$0.910399\pi$
$522$	−0.914167	−	3.41172i	−0.0400120	−	0.149327i
$523$	5.89752	−	10.2148i	0.257880	−	0.446662i	−0.707793	−	0.706419i	$-0.750309\pi$
$523$	5.89752	−	10.2148i	0.257880	−	0.446662i	0.965674	+	0.259757i	$0.0836426\pi$
$524$	−3.66403	+	3.66403i	−0.160064	+	0.160064i
$525$	6.13003	−	13.6189i	0.267536	−	0.594378i
$526$	−9.35678	−	9.35678i	−0.407975	−	0.407975i
$527$	3.03099	−	11.3118i	0.132032	−	0.492750i
$528$	7.25233	−	7.25233i	0.315617	−	0.315617i
$529$	36.0595			1.56780
$530$	5.12097	−	3.31081i	0.222441	−	0.143812i
$531$	−2.51990	+	0.675206i	−0.109354	+	0.0293014i
$532$	−2.70387			−0.117227
$533$	1.34037	−	0.773866i	0.0580581	−	0.0335198i
$534$	13.4927	−	7.78999i	0.583884	−	0.337106i
$535$	−1.30269	−	2.01492i	−0.0563201	−	0.0871126i
$536$	−0.973574	−	3.63343i	−0.0420520	−	0.156940i
$537$	38.3666	+	22.1510i	1.65564	+	0.955884i
$538$	12.7864	−	7.38224i	0.551262	−	0.318271i
$539$	12.1531	+	21.0498i	0.523471	+	0.906678i
$540$	9.09536	−	5.88033i	0.391402	−	0.253049i
$541$	6.84709	+	6.84709i	0.294379	+	0.294379i	0.838807	−	0.544428i	$-0.183253\pi$
$541$	6.84709	+	6.84709i	0.294379	+	0.294379i	−0.544428	+	0.838807i	$0.683253\pi$
$542$	11.2125	−	19.4207i	0.481620	−	0.834190i
$543$	−6.48557	+	24.2045i	−0.278323	+	1.03871i
$544$		−	3.01827i		−	0.129407i
$545$	−1.86413	−	37.0097i	−0.0798506	−	1.58532i
$546$	−3.82170	+	2.20646i	−0.163554	+	0.0944278i
$547$	21.8356			0.933624			0.466812	−	0.884357i	$-0.345403\pi$
$547$	21.8356			0.933624			0.466812	+	0.884357i	$0.345403\pi$
$548$	−8.56745	+	2.29564i	−0.365983	+	0.0980649i
$549$	−0.586906	−	0.586906i	−0.0250485	−	0.0250485i
$550$	−11.4897	+	25.5264i	−0.489924	+	1.08845i
$551$	8.22621	−	14.2482i	0.350448	−	0.606994i
$552$	13.5988	−	3.64378i	0.578803	−	0.155090i
$553$	−12.3078	−	21.3177i	−0.523381	−	0.906522i
$554$	−2.00729			−0.0852816
$555$	−12.0524	−	21.8083i	−0.511596	−	0.925710i
$556$	−10.5246			−0.446343
$557$	3.76136	+	6.51487i	0.159374	+	0.276044i	0.934643	−	0.355587i	$-0.115719\pi$
$557$	3.76136	+	6.51487i	0.159374	+	0.276044i	−0.775269	+	0.631631i	$0.782386\pi$
$558$	1.33425	−	0.357512i	0.0564834	−	0.0151347i
$559$	0.706733	−	1.22410i	0.0298916	−	0.0517738i
$560$	−1.66181	+	3.24516i	−0.0702244	+	0.137133i
$561$	21.8895	+	21.8895i	0.924176	+	0.924176i
$562$	4.16116	−	1.11498i	0.175528	−	0.0470326i
$563$	17.9713			0.757401			0.378701	−	0.925519i	$-0.376371\pi$
$563$	17.9713			0.757401			0.378701	+	0.925519i	$0.376371\pi$
$564$	−0.400950	+	0.231489i	−0.0168831	+	0.00974744i
$565$	−13.5265	−	12.2292i	−0.569065	−	0.514488i
$566$			10.8936i			0.457892i
$567$	−4.19527	+	15.6570i	−0.176185	+	0.657531i
$568$	−0.226639	+	0.392550i	−0.00950955	+	0.0164710i
$569$	−15.0498	−	15.0498i	−0.630918	−	0.630918i	0.317380	−	0.948298i	$-0.397197\pi$
$569$	−15.0498	−	15.0498i	−0.630918	−	0.630918i	−0.948298	+	0.317380i	$0.897197\pi$
$570$	−6.64166	−	1.42585i	−0.278188	−	0.0597224i
$571$	−14.3502	−	24.8552i	−0.600536	−	1.04016i	−0.992740	−	0.120281i	$-0.961621\pi$
$571$	−14.3502	−	24.8552i	−0.600536	−	1.04016i	0.392204	−	0.919878i	$-0.371713\pi$
$572$	7.16316	−	4.13565i	0.299507	−	0.172920i
$573$	−34.2047	−	19.7481i	−1.42892	−	0.824988i
$574$	0.442099	+	1.64994i	0.0184529	+	0.0688670i
$575$	−31.1782	+	22.4591i	−1.30022	+	0.936608i
$576$	0.308315	−	0.178006i	0.0128465	−	0.00741690i
$577$	−6.95935	+	4.01798i	−0.289722	+	0.167271i	−0.637816	−	0.770189i	$-0.720162\pi$
$577$	−6.95935	+	4.01798i	−0.289722	+	0.167271i	0.348095	+	0.937459i	$0.386829\pi$
$578$	−7.89003			−0.328182
$579$	6.76761	−	1.81338i	0.281252	−	0.0753613i
$580$	−12.0447	−	18.6301i	−0.500129	−	0.773571i
$581$	26.0749			1.08177
$582$	0.0811928	−	0.0811928i	0.00336555	−	0.00336555i
$583$	3.95167	−	14.7478i	0.163662	−	0.610793i
$584$	5.31913	+	5.31913i	0.220107	+	0.220107i
$585$	−1.11927	+	0.361158i	−0.0462761	+	0.0149320i
$586$	−5.61202	+	5.61202i	−0.231830	+	0.231830i
$587$	−16.2262	+	28.1045i	−0.669725	+	1.16000i	0.308256	+	0.951304i	$0.400255\pi$
$587$	−16.2262	+	28.1045i	−0.669725	+	1.16000i	−0.977981	+	0.208695i	$0.933079\pi$
$588$	2.05847	+	7.68231i	0.0848898	+	0.316813i
$589$	5.57218	+	3.21710i	0.229598	+	0.132558i
$590$	−13.7602	+	8.89624i	−0.566498	+	0.366252i
$591$			31.3203i			1.28835i
$592$	2.67069	+	5.46511i	0.109765	+	0.224615i
$593$	9.92225	−	9.92225i	0.407458	−	0.407458i	−0.473393	−	0.880851i	$-0.656971\pi$
$593$	9.92225	−	9.92225i	0.407458	−	0.407458i	0.880851	+	0.473393i	$0.156971\pi$
$594$	7.01857	−	26.1936i	0.287975	−	1.07474i
$595$	−9.79477	−	5.01580i	−0.401547	−	0.205628i
$596$	11.1736	+	6.45110i	0.457690	+	0.264247i
$597$	−19.7807	−	11.4204i	−0.809572	−	0.467407i
$598$	11.3537			0.464288
$599$	16.2238	+	9.36683i	0.662888	+	0.382718i	0.793376	−	0.608731i	$-0.208321\pi$
$599$	16.2238	+	9.36683i	0.662888	+	0.382718i	−0.130489	+	0.991450i	$0.541655\pi$
$600$	−5.79330	+	7.09493i	−0.236510	+	0.289649i
$601$	−9.16005	−	15.8657i	−0.373646	−	0.647174i	0.616477	−	0.787373i	$-0.288559\pi$
$601$	−9.16005	−	15.8657i	−0.373646	−	0.647174i	−0.990123	+	0.140199i	$0.955226\pi$
$602$	1.10306	+	1.10306i	0.0449573	+	0.0449573i
$603$	0.946938	+	0.946938i	0.0385623	+	0.0385623i
$604$	−7.74225	+	4.46999i	−0.315028	+	0.181881i
$605$	13.9697	+	43.2937i	0.567949	+	1.76014i
$606$	11.7979	−	11.7979i	0.479258	−	0.479258i
$607$	5.61051	+	9.71768i	0.227723	+	0.394429i	0.957133	−	0.289649i	$-0.0935384\pi$
$607$	5.61051	+	9.71768i	0.227723	+	0.394429i	−0.729410	+	0.684077i	$0.760205\pi$
$608$	1.60180	+	0.429201i	0.0649615	+	0.0174064i
$609$	28.6248	+	7.66999i	1.15994	+	0.310804i
$610$	−4.64018	−	2.37619i	−0.187875	−	0.0962090i
$611$	−0.360649	+	0.0966357i	−0.0145903	+	0.00390946i
$612$	0.537270	+	0.930578i	0.0217178	+	0.0376164i
$613$	−3.54910	+	13.2454i	−0.143347	+	0.534978i	0.856477	+	0.516186i	$0.172649\pi$
$613$	−3.54910	+	13.2454i	−0.143347	+	0.534978i	−0.999823	+	0.0187918i	$0.994018\pi$
$614$	−1.20220	−	0.322127i	−0.0485166	−	0.0130000i
$615$	0.215878	+	4.28597i	0.00870506	+	0.172827i
$616$	2.36264	+	8.81751i	0.0951937	+	0.355268i
$617$	5.33126	+	1.42851i	0.214629	+	0.0575096i	0.364531	−	0.931191i	$-0.381229\pi$
$617$	5.33126	+	1.42851i	0.214629	+	0.0575096i	−0.149902	+	0.988701i	$0.547896\pi$
$618$	23.6258	−	23.6258i	0.950370	−	0.950370i
$619$	−15.5802			−0.626219			−0.313110	−	0.949717i	$-0.601371\pi$
$619$	−15.5802			−0.626219			−0.313110	+	0.949717i	$0.601371\pi$
$620$	7.28583	−	4.71043i	0.292606	−	0.189176i
$621$	26.3209	−	26.3209i	1.05622	−	1.05622i
$622$	−1.48536	−	5.54344i	−0.0595575	−	0.222272i
$623$			13.8668i			0.555562i
$624$	2.61426	−	0.700489i	0.104654	−	0.0280420i
$625$	7.91859	−	23.7128i	0.316744	−	0.948511i
$626$	−10.2630	+	17.7760i	−0.410192	+	0.710473i
$627$	−14.7295	+	8.50407i	−0.588239	+	0.339620i
$628$	−15.2303	−	15.2303i	−0.607756	−	0.607756i
$629$	−16.4952	+	8.06088i	−0.657706	+	0.321408i
$630$	−0.0652951	−	1.29634i	−0.00260142	−	0.0516476i
$631$	8.50588	+	2.27914i	0.338614	+	0.0907313i	0.424119	−	0.905606i	$-0.360584\pi$
$631$	8.50588	+	2.27914i	0.338614	+	0.0907313i	−0.0855053	+	0.996338i	$0.527250\pi$
$632$	3.90738	+	14.5825i	0.155427	+	0.580062i
$633$	15.0722	−	4.03857i	0.599065	−	0.160519i
$634$	−6.90217	−	25.7593i	−0.274120	−	1.02303i
$635$	−37.9260	+	1.91028i	−1.50505	+	0.0758071i
$636$	2.49796	−	4.32659i	0.0990506	−	0.171561i
$637$			6.41401i			0.254132i
$638$	−53.6525	−	14.3762i	−2.12412	−	0.569157i
$639$		−	0.161372i		−	0.00638378i
$640$	1.49960	−	1.65868i	0.0592768	−	0.0655649i
$641$	8.23745	+	14.2677i	0.325360	+	0.563540i	0.981585	−	0.191025i	$-0.0611813\pi$
$641$	8.23745	+	14.2677i	0.325360	+	0.563540i	−0.656225	+	0.754565i	$0.727848\pi$
$642$	−1.70236	−	0.982859i	−0.0671868	−	0.0387903i
$643$			4.04643i			0.159576i	0.996812	+	0.0797878i	$0.0254243\pi$
$643$			4.04643i			0.159576i	−0.996812	+	0.0797878i	$0.974576\pi$
$644$	−3.24311	+	12.1035i	−0.127797	+	0.476943i
$645$	2.12782	+	3.29118i	0.0837827	+	0.129590i
$646$	−1.29544	+	4.83466i	−0.0509686	+	0.190217i
$647$	14.5208	−	25.1508i	0.570873	−	0.988781i	−0.425603	−	0.904910i	$-0.639938\pi$
$647$	14.5208	−	25.1508i	0.570873	−	0.988781i	0.996477	−	0.0838716i	$-0.0267286\pi$
$648$	4.97065	−	8.60941i	0.195265	−	0.338210i
$649$	−10.6183	+	39.6279i	−0.416803	+	1.55553i
$650$	−5.99375	+	4.31758i	−0.235094	+	0.169349i
$651$	−2.99957	+	11.1946i	−0.117563	+	0.438749i
$652$		−	6.69652i		−	0.262256i
$653$	27.9607	+	16.1431i	1.09419	+	0.631729i	0.934688	−	0.355469i	$-0.115679\pi$
$653$	27.9607	+	16.1431i	1.09419	+	0.631729i	0.159498	+	0.987198i	$0.449012\pi$
$654$	−15.1797	−	26.2920i	−0.593573	−	1.02810i
$655$	−0.582867	−	11.5720i	−0.0227745	−	0.452156i
$656$		−	1.04762i		−	0.0409025i
$657$	−2.58680	−	0.693131i	−0.100921	−	0.0270416i
$658$		−	0.412069i		−	0.0160641i
$659$	−5.67475	+	9.82895i	−0.221057	+	0.382881i	−0.955129	−	0.296190i	$-0.904284\pi$
$659$	−5.67475	+	9.82895i	−0.221057	+	0.382881i	0.734072	+	0.679071i	$0.237617\pi$
$660$	1.15369	+	22.9048i	0.0449072	+	0.891570i
$661$	3.30246	+	12.3250i	0.128451	+	0.479385i	0.999939	−	0.0110312i	$-0.00351140\pi$
$661$	3.30246	+	12.3250i	0.128451	+	0.479385i	−0.871488	+	0.490416i	$0.836845\pi$
$662$	−22.3345	+	5.98450i	−0.868053	+	0.232594i
$663$	2.11427	+	7.89055i	0.0821113	+	0.306444i
$664$	−15.4470	−	4.13901i	−0.599460	−	0.160625i
$665$	4.05471	−	4.48484i	0.157235	−	0.173915i
$666$	−1.79623	−	1.20958i	−0.0696027	−	0.0468701i
$667$	−53.9132	−	53.9132i	−2.08753	−	2.08753i
$668$	−13.8803	+	8.01379i	−0.537045	+	0.310063i
$669$	−0.995793	+	1.72476i	−0.0384996	+	0.0666832i
$670$	7.48665	+	3.83384i	0.289234	+	0.148114i
$671$	−12.6079	+	3.37829i	−0.486724	+	0.130417i
$672$			2.98698i			0.115225i
$673$	−7.28348	−	27.1823i	−0.280758	−	1.04780i	−0.951884	−	0.306459i	$-0.900856\pi$
$673$	−7.28348	−	27.1823i	−0.280758	−	1.04780i	0.671126	−	0.741343i	$-0.265811\pi$
$674$	0.690952	−	0.690952i	0.0266145	−	0.0266145i
$675$	−3.88582	+	23.9044i	−0.149565	+	0.920081i
$676$	−10.8173			−0.416051
$677$	18.0330	−	18.0330i	0.693065	−	0.693065i	−0.269840	−	0.962905i	$-0.586971\pi$
$677$	18.0330	−	18.0330i	0.693065	−	0.693065i	0.962905	+	0.269840i	$0.0869708\pi$
$678$	−14.4305	−	3.86663i	−0.554198	−	0.148497i
$679$	0.0264508	+	0.0987156i	0.00101509	+	0.00378836i
$680$	5.00634	+	4.52619i	0.191984	+	0.173572i
$681$	4.77134	+	1.27848i	0.182838	+	0.0489913i
$682$	5.62221	−	20.9824i	0.215286	−	0.803457i
$683$	22.4763	+	38.9301i	0.860031	+	1.48962i	0.871898	+	0.489688i	$0.162889\pi$
$683$	22.4763	+	38.9301i	0.860031	+	1.48962i	−0.0118672	+	0.999930i	$0.503778\pi$
$684$	−0.570258	+	0.152800i	−0.0218044	+	0.00584247i
$685$	9.04000	−	17.6532i	0.345401	−	0.674492i
$686$	−17.8622	−	4.78615i	−0.681981	−	0.182736i
$687$	−27.5291	−	7.37640i	−1.05030	−	0.281427i
$688$	−0.478368	−	0.828557i	−0.0182376	−	0.0315884i
$689$	2.84893	−	2.84893i	0.108536	−	0.108536i
$690$	−14.3489	+	28.0202i	−0.546252	+	1.06671i
$691$	10.0850	−	5.82255i	0.383650	−	0.221500i	−0.295755	−	0.955264i	$-0.595571\pi$
$691$	10.0850	−	5.82255i	0.383650	−	0.221500i	0.679405	+	0.733763i	$0.262238\pi$
$692$	−6.83286	−	6.83286i	−0.259746	−	0.259746i
$693$	−2.29801	−	2.29801i	−0.0872940	−	0.0872940i
$694$	−11.3040	−	19.5791i	−0.429093	−	0.743211i
$695$	15.7827	−	17.4569i	0.598671	−	0.662179i
$696$	−15.7401	−	9.08756i	−0.596628	−	0.344463i
$697$	3.16199			0.119769
$698$	4.46502	+	2.57788i	0.169003	+	0.0975741i
$699$	37.0558	+	21.3942i	1.40158	+	0.809201i
$700$	−2.89062	−	7.62284i	−0.109255	−	0.288116i
$701$	−11.9283	+	44.5170i	−0.450525	+	1.68138i	0.250396	+	0.968143i	$0.419439\pi$
$701$	−11.9283	+	44.5170i	−0.450525	+	1.68138i	−0.700921	+	0.713239i	$0.747228\pi$
$702$	5.05999	−	5.05999i	0.190977	−	0.190977i
$703$	−1.93228	−	9.90026i	−0.0728775	−	0.373395i
$704$		−	5.59862i		−	0.211006i
$705$	0.217299	−	1.01219i	0.00818397	−	0.0381212i
$706$	15.2080	+	8.78032i	0.572359	+	0.330452i
$707$	3.84350	+	14.3441i	0.144550	+	0.539467i
$708$	−6.71209	+	11.6257i	−0.252256	+	0.436920i
$709$	−14.6713	+	14.6713i	−0.550991	+	0.550991i	−0.926727	−	0.375736i	$-0.877390\pi$
$709$	−14.6713	+	14.6713i	−0.550991	+	0.550991i	0.375736	+	0.926727i	$0.377390\pi$
$710$	−0.311246	−	0.964587i	−0.0116809	−	0.0362003i
$711$	−3.80048	−	3.80048i	−0.142529	−	0.142529i
$712$	2.20116	−	8.21484i	0.0824919	−	0.307864i
$713$	21.0843	−	21.0843i	0.789615	−	0.789615i
$714$	−9.01553			−0.337398
$715$	−3.88215	+	18.0832i	−0.145184	+	0.676273i
$716$	23.3590	−	6.25903i	0.872968	−	0.233911i
$717$	−3.77477			−0.140971
$718$	−17.7004	+	10.2194i	−0.660575	+	0.381383i
$719$	2.85762	−	1.64985i	0.106571	−	0.0615290i	−0.445767	−	0.895149i	$-0.647069\pi$
$719$	2.85762	−	1.64985i	0.106571	−	0.0615290i	0.552338	+	0.833620i	$0.313736\pi$
$720$	−0.167095	+	0.778332i	−0.00622725	+	0.0290067i
$721$	7.69676	+	28.7247i	0.286642	+	1.06976i
$722$	14.0729	+	8.12501i	0.523741	+	0.302382i
$723$	35.6427	−	20.5783i	1.32557	−	0.765316i
$724$	6.83928	+	11.8460i	0.254180	+	0.440252i
$725$	48.9634	+	7.95934i	1.81846	+	0.295602i
$726$	26.3539	+	26.3539i	0.978084	+	0.978084i
$727$	26.7060	−	46.2561i	0.990471	−	1.71555i	0.375962	−	0.926635i	$-0.377312\pi$
$727$	26.7060	−	46.2561i	0.990471	−	1.71555i	0.614509	−	0.788910i	$-0.289354\pi$
$728$	−0.623463	+	2.32680i	−0.0231071	+	0.0862368i
$729$		−	23.0806i		−	0.854835i
$730$	−16.7993	+	0.846156i	−0.621768	+	0.0313176i
$731$	2.50081	−	1.44384i	0.0924958	−	0.0534025i
$732$	−4.27102			−0.157861
$733$	35.7346	−	9.57506i	1.31989	−	0.353663i	0.470952	−	0.882159i	$-0.343910\pi$
$733$	35.7346	−	9.57506i	1.31989	−	0.353663i	0.848936	+	0.528496i	$0.177244\pi$
$734$	3.98985	+	3.98985i	0.147268	+	0.147268i
$735$	−15.8293	−	8.10604i	−0.583874	−	0.298996i
$736$	3.84251	−	6.65542i	0.141637	−	0.245322i
$737$	20.3422	−	5.45067i	0.749314	−	0.200778i
$738$	0.186482	+	0.322996i	0.00686449	+	0.0118896i
$739$	−4.00587			−0.147358			−0.0736792	−	0.997282i	$-0.523474\pi$
$739$	−4.00587			−0.147358			−0.0736792	+	0.997282i	$0.523474\pi$
$740$	−13.0698	−	3.76565i	−0.480456	−	0.138428i
$741$	−4.48817			−0.164877
$742$	2.22329	+	3.85084i	0.0816194	+	0.141369i
$743$	−36.8284	+	9.86813i	−1.35110	+	0.362027i	−0.860542	−	0.509380i	$-0.829875\pi$
$743$	−36.8284	+	9.86813i	−1.35110	+	0.362027i	−0.490561	+	0.871407i	$0.663208\pi$
$744$	3.55395	−	6.15563i	0.130294	−	0.225676i
$745$	−27.4562	+	8.85938i	−1.00592	+	0.324583i
$746$	8.53886	+	8.53886i	0.312630	+	0.312630i
$747$	5.49931	−	1.47354i	0.201209	−	0.0539139i
$748$	16.8982			0.617858
$749$	1.51517	−	0.874784i	0.0553631	−	0.0319639i
$750$	−3.08056	−	20.2487i	−0.112486	−	0.739380i
$751$			43.3139i			1.58055i	0.612754	+	0.790274i	$0.290062\pi$
$751$			43.3139i			1.58055i	−0.612754	+	0.790274i	$0.709938\pi$
$752$	−0.0654100	+	0.244114i	−0.00238526	+	0.00890191i
$753$	−20.8399	+	36.0957i	−0.759448	+	1.31540i
$754$	−10.3644	−	10.3644i	−0.377449	−	0.377449i
$755$	4.19600	−	19.5451i	0.152708	−	0.711318i
$756$	3.94878	+	6.83948i	0.143616	+	0.248750i
$757$	11.3868	−	6.57419i	0.413862	−	0.238943i	−0.278586	−	0.960411i	$-0.589866\pi$
$757$	11.3868	−	6.57419i	0.413862	−	0.238943i	0.692448	+	0.721468i	$0.256532\pi$
$758$	25.5143	+	14.7307i	0.926722	+	0.535043i
$759$	20.4002	+	76.1344i	0.740479	+	2.76351i
$760$	−3.11396	+	2.01324i	−0.112955	+	0.0730277i
$761$	−32.6843	+	18.8703i	−1.18480	+	0.684046i	−0.957121	−	0.289689i	$-0.906448\pi$
$761$	−32.6843	+	18.8703i	−1.18480	+	0.684046i	−0.227682	+	0.973735i	$0.573115\pi$
$762$	−26.9429	+	15.5555i	−0.976038	+	0.563516i
$763$	27.0211			0.978228
$764$	−20.8251	+	5.58006i	−0.753425	+	0.201880i
$765$	−2.34922	−	0.504337i	−0.0849361	−	0.0182343i
$766$	−21.1218			−0.763163
$767$	−7.65516	+	7.65516i	−0.276412	+	0.276412i
$768$	0.474141	−	1.76952i	0.0171091	−	0.0638521i
$769$	−32.2228	−	32.2228i	−1.16198	−	1.16198i	−0.984041	−	0.177943i	$-0.943056\pi$
$769$	−32.2228	−	32.2228i	−1.16198	−	1.16198i	−0.177943	−	0.984041i	$-0.556944\pi$
$770$	−18.1684	−	9.30386i	−0.654744	−	0.335288i
$771$	−22.5671	+	22.5671i	−0.812734	+	0.812734i
$772$	1.91227	−	3.31215i	0.0688242	−	0.119207i
$773$	0.124461	+	0.464496i	0.00447657	+	0.0167068i	0.968128	−	0.250456i	$-0.0805805\pi$
$773$	0.124461	+	0.464496i	0.00447657	+	0.0167068i	−0.963651	+	0.267163i	$0.913914\pi$
$774$	0.294976	+	0.170304i	0.0106027	+	0.00612146i
$775$	−3.11273	+	19.1486i	−0.111813	+	0.687837i
$776$		−	0.0626788i		−	0.00225004i
$777$	16.3242	−	7.97732i	0.585627	−	0.286185i
$778$	−1.37864	+	1.37864i	−0.0494267	+	0.0494267i
$779$	−0.449637	+	1.67807i	−0.0161099	+	0.0601231i
$780$	−2.75846	+	5.38666i	−0.0987685	+	0.192873i
$781$	−2.19774	−	1.26886i	−0.0786412	−	0.0454035i
$782$	20.0879	+	11.5977i	0.718341	+	0.414734i
$783$	−48.0548			−1.71734
$784$	3.75982	+	2.17073i	0.134279	+	0.0775261i
$785$	48.1015	−	2.42281i	1.71682	−	0.0864738i
$786$	−4.74631	−	8.22085i	−0.169295	−	0.293228i
$787$	8.25808	+	8.25808i	0.294369	+	0.294369i	0.838803	−	0.544434i	$-0.183256\pi$
$787$	8.25808	+	8.25808i	0.294369	+	0.294369i	−0.544434	+	0.838803i	$0.683256\pi$
$788$	12.0893	+	12.0893i	0.430662	+	0.430662i
$789$	20.9935	−	12.1206i	0.747387	−	0.431504i
$790$	−30.0472	−	15.3869i	−1.06903	−	0.547440i
$791$	9.40223	−	9.40223i	0.334305	−	0.334305i
$792$	0.996586	+	1.72614i	0.0354121	+	0.0613356i
$793$	−3.32703	−	0.891475i	−0.118146	−	0.0316572i
$794$	−36.1198	−	9.67827i	−1.28184	−	0.343469i
$795$	3.43048	+	10.6315i	0.121667	+	0.377059i
$796$	−12.0433	+	3.22698i	−0.426862	+	0.114377i
$797$	3.90610	+	6.76556i	0.138361	+	0.239649i	0.926876	−	0.375367i	$-0.122483\pi$
$797$	3.90610	+	6.76556i	0.138361	+	0.239649i	−0.788515	+	0.615015i	$0.789150\pi$
$798$	1.28202	−	4.78455i	0.0453829	−	0.169371i
$799$	−0.736801	−	0.197425i	−0.0260662	−	0.00698441i
$800$	0.502412	+	4.97469i	0.0177629	+	0.175882i
$801$	0.783638	+	2.92458i	0.0276885	+	0.103335i
$802$	17.4518	+	4.67619i	0.616244	+	0.165122i
$803$	−29.7798	+	29.7798i	−1.05090	+	1.05090i
$804$	6.89103			0.243028
$805$	−15.2124	−	23.5296i	−0.536165	−	0.829310i
$806$	4.05330	−	4.05330i	0.142771	−	0.142771i
$807$	7.00045	+	26.1261i	0.246428	+	0.919681i
$808$		−	9.10771i		−	0.320408i
$809$	42.6313	−	11.4230i	1.49884	−	0.401612i	0.586127	−	0.810219i	$-0.300652\pi$
$809$	42.6313	−	11.4230i	1.49884	−	0.401612i	0.912711	+	0.408607i	$0.133985\pi$
$810$	6.82625	+	21.1553i	0.239850	+	0.743323i
$811$	11.7502	−	20.3519i	0.412605	−	0.714652i	−0.582569	−	0.812781i	$-0.697952\pi$
$811$	11.7502	−	20.3519i	0.412605	−	0.714652i	0.995174	+	0.0981290i	$0.0312858\pi$
$812$	14.0093	−	8.08829i	0.491631	−	0.283843i
$813$	29.0490	+	29.0490i	1.01879	+	1.01879i
$814$	−30.5971	+	14.9522i	−1.07243	+	0.524074i
$815$	11.1074	+	10.0421i	0.389074	+	0.351759i
$816$	5.34089	+	1.43109i	0.186969	+	0.0500981i
$817$	0.410631	+	1.53250i	0.0143662	+	0.0536153i
$818$	−27.8966	+	7.47488i	−0.975382	+	0.261353i
$819$	−0.221960	−	0.828366i	−0.00775591	−	0.0289455i
$820$	1.73766	+	1.57100i	0.0606816	+	0.0548618i
$821$	−0.848451	+	1.46956i	−0.0296111	+	0.0512880i	−0.880451	−	0.474137i	$-0.842760\pi$
$821$	−0.848451	+	1.46956i	−0.0296111	+	0.0512880i	0.850840	+	0.525425i	$0.176094\pi$
$822$		−	16.2487i		−	0.566739i
$823$	20.8106	+	5.57618i	0.725411	+	0.194373i	0.602585	−	0.798055i	$-0.294137\pi$
$823$	20.8106	+	5.57618i	0.725411	+	0.194373i	0.122826	+	0.992428i	$0.460804\pi$
$824$		−	18.2385i		−	0.635370i
$825$	−39.7218	−	32.4345i	−1.38294	−	1.12922i
$826$	−5.97403	−	10.3473i	−0.207863	−	0.360029i
$827$	−26.5595	−	15.3341i	−0.923564	−	0.533220i	−0.0387937	−	0.999247i	$-0.512352\pi$
$827$	−26.5595	−	15.3341i	−0.923564	−	0.533220i	−0.884770	+	0.466027i	$0.845685\pi$
$828$			2.73595i			0.0950810i
$829$	−7.91879	+	29.5533i	−0.275031	+	1.02643i	0.680790	+	0.732479i	$0.261637\pi$
$829$	−7.91879	+	29.5533i	−0.275031	+	1.02643i	−0.955821	+	0.293950i	$0.905030\pi$
$830$	30.0296	−	19.4147i	1.04234	−	0.673895i
$831$	0.951739	−	3.55194i	0.0330155	−	0.123215i
$832$	0.738692	−	1.27945i	0.0256095	−	0.0443570i
$833$	−6.55186	+	11.3482i	−0.227008	+	0.393190i
$834$	4.99016	−	18.6235i	0.172795	−	0.644880i
$835$	7.52258	−	35.0404i	0.260329	−	1.21262i
$836$	−2.40293	+	8.96786i	−0.0831071	+	0.310160i
$837$		−	18.7932i		−	0.649589i
$838$	9.58656	+	5.53480i	0.331162	+	0.191197i
$839$	−18.1058	−	31.3603i	−0.625083	−	1.08268i	−0.988525	−	0.151059i	$-0.951732\pi$
$839$	−18.1058	−	31.3603i	−0.625083	−	1.08268i	0.363441	−	0.931617i	$-0.381602\pi$
$840$	−4.95444	−	4.47928i	−0.170944	−	0.154550i
$841$			69.4308i			2.39417i
$842$	0.846027	+	0.226692i	0.0291560	+	0.00781233i
$843$			7.89192i			0.271812i
$844$	4.25883	−	7.37651i	0.146595	−	0.253910i
$845$	16.2217	−	17.9425i	0.558042	−	0.617239i
$846$	−0.0232867	−	0.0869072i	−0.000800614	−	0.00298793i
$847$	−32.0415	+	8.58549i	−1.10096	+	0.295001i
$848$	−0.705830	−	2.63419i	−0.0242383	−	0.0904586i
$849$	−19.2764	−	5.16511i	−0.661566	−	0.177266i
$850$	−15.0150	+	1.51642i	−0.515010	+	0.0520126i
$851$	−46.6347	−	3.22514i	−1.59862	−	0.110556i
$852$	−0.587166	−	0.587166i	−0.0201160	−	0.0201160i
$853$	−37.9246	+	21.8958i	−1.29851	+	0.749698i	−0.980148	−	0.198270i	$-0.936468\pi$
$853$	−37.9246	+	21.8958i	−1.29851	+	0.749698i	−0.318367	+	0.947967i	$0.603135\pi$
$854$	1.90069	−	3.29209i	0.0650402	−	0.112653i
$855$	0.601712	−	1.17501i	0.0205781	−	0.0401846i
$856$	−1.03646	+	0.277719i	−0.0354255	+	0.00949224i
$857$			2.28455i			0.0780386i	0.999238	+	0.0390193i	$0.0124234\pi$
$857$			2.28455i			0.0780386i	−0.999238	+	0.0390193i	$0.987577\pi$
$858$	3.92177	+	14.6362i	0.133887	+	0.499673i
$859$	20.7369	−	20.7369i	0.707532	−	0.707532i	−0.258483	−	0.966016i	$-0.583223\pi$
$859$	20.7369	−	20.7369i	0.707532	−	0.707532i	0.966016	+	0.258483i	$0.0832227\pi$
$860$	2.09167	+	0.449046i	0.0713252	+	0.0153123i
$861$	−3.12921			−0.106643
$862$	4.27440	−	4.27440i	0.145587	−	0.145587i
$863$	−42.6831	−	11.4369i	−1.45295	−	0.389317i	−0.555902	−	0.831248i	$-0.687627\pi$
$863$	−42.6831	−	11.4369i	−1.45295	−	0.389317i	−0.897049	+	0.441931i	$0.854294\pi$
$864$	−1.25362	−	4.67859i	−0.0426492	−	0.159169i
$865$	21.5800	−	1.08696i	0.733743	−	0.0369576i
$866$	31.7203	+	8.49942i	1.07790	+	0.288822i
$867$	3.74099	−	13.9616i	0.127051	−	0.474160i
$868$	3.16316	+	5.47876i	0.107365	+	0.185961i
$869$	−81.6420	+	21.8759i	−2.76951	+	0.742089i
$870$	38.6772	−	12.4801i	1.31128	−	0.423114i
$871$	5.36797	+	1.43834i	0.181887	+	0.0487364i
$872$	−16.0076	−	4.28921i	−0.542084	−	0.145251i
$873$	0.0111572	+	0.0193248i	0.000377614	+	0.000654046i
$874$	−9.01143	+	9.01143i	−0.304816	+	0.304816i
$875$	16.9786	+	6.63661i	0.573981	+	0.224358i
$876$	−11.9343	+	6.89028i	−0.403223	+	0.232801i
$877$	32.1973	+	32.1973i	1.08723	+	1.08723i	0.995813	+	0.0914141i	$0.0291387\pi$
$877$	32.1973	+	32.1973i	1.08723	+	1.08723i	0.0914141	+	0.995813i	$0.470861\pi$
$878$	2.23088	+	2.23088i	0.0752884	+	0.0752884i
$879$	−7.26969	−	12.5915i	−0.245201	−	0.424700i
$880$	9.28629	+	8.39568i	0.313041	+	0.283018i
$881$	−2.85631	−	1.64909i	−0.0962316	−	0.0555593i	0.451112	−	0.892467i	$-0.351028\pi$
$881$	−2.85631	−	1.64909i	−0.0962316	−	0.0555593i	−0.547343	+	0.836908i	$0.684361\pi$
$882$	−1.54561			−0.0520434
$883$	−4.21985	−	2.43633i	−0.142009	−	0.0819891i	0.427312	−	0.904104i	$-0.359461\pi$
$883$	−4.21985	−	2.43633i	−0.142009	−	0.0819891i	−0.569321	+	0.822115i	$0.692794\pi$
$884$	3.86173	+	2.22957i	0.129884	+	0.0749887i
$885$	−9.21780	−	28.5670i	−0.309853	−	0.960270i
$886$	6.09159	−	22.7341i	0.204651	−	0.763768i
$887$	−21.4165	+	21.4165i	−0.719095	+	0.719095i	−0.968420	−	0.249325i	$-0.919791\pi$
$887$	−21.4165	+	21.4165i	−0.719095	+	0.719095i	0.249325	+	0.968420i	$0.419791\pi$
$888$	−10.9369	+	2.13461i	−0.367018	+	0.0716328i
$889$		−	27.6900i		−	0.928693i
$890$	10.3249	+	15.9700i	0.346091	+	0.535314i
$891$	48.2008	+	27.8287i	1.61479	+	0.932298i
$892$	0.281374	+	1.05010i	0.00942109	+	0.0351600i
$893$	0.209547	−	0.362947i	0.00701224	−	0.0121455i
$894$	−16.7132	+	16.7132i	−0.558974	+	0.558974i
$895$	−24.6474	+	48.1311i	−0.823873	+	1.60884i
$896$	1.15294	+	1.15294i	0.0385170	+	0.0385170i
$897$	−5.38327	+	20.0906i	−0.179742	+	0.670807i
$898$	28.1510	−	28.1510i	0.939412	−	0.939412i
$899$	−38.4942			−1.28385
$900$	−1.04043	−	1.44434i	−0.0346808	−	0.0481447i
$901$	7.95071	−	2.13039i	0.264877	−	0.0709735i
$902$	5.86520			0.195290
$903$	−2.47489	+	1.42888i	−0.0823591	+	0.0475500i
$904$	−7.06245	+	4.07751i	−0.234894	+	0.135616i
$905$	−29.9048	−	6.42006i	−0.994070	−	0.213410i
$906$	−4.23882	−	15.8195i	−0.140825	−	0.525567i
$907$	−30.9595	−	17.8745i	−1.02799	−	0.593512i	−0.111583	−	0.993755i	$-0.535592\pi$
$907$	−30.9595	−	17.8745i	−1.02799	−	0.593512i	−0.916409	+	0.400244i	$0.868926\pi$
$908$	2.33515	−	1.34820i	0.0774948	−	0.0447416i
$909$	1.62122	+	2.80804i	0.0537726	+	0.0931369i
$910$	−2.92446	−	4.52338i	−0.0969448	−	0.149949i
$911$	−35.1845	−	35.1845i	−1.16571	−	1.16571i	−0.983204	−	0.182510i	$-0.941578\pi$
$911$	−35.1845	−	35.1845i	−1.16571	−	1.16571i	−0.182510	−	0.983204i	$-0.558422\pi$
$912$	−1.51896	+	2.63091i	−0.0502977	+	0.0871182i
$913$	23.1728	−	86.4819i	0.766907	−	2.86213i
$914$			17.1523i			0.567349i
$915$	6.40481	−	7.08423i	0.211736	−	0.234198i
$916$	−13.4731	+	7.77869i	−0.445163	+	0.257015i
$917$	8.44881			0.279004
$918$	14.1213	−	3.78378i	0.466071	−	0.124883i
$919$	−1.35656	−	1.35656i	−0.0447489	−	0.0447489i	0.684378	−	0.729127i	$-0.260074\pi$
$919$	−1.35656	−	1.35656i	−0.0447489	−	0.0447489i	−0.729127	+	0.684378i	$0.760074\pi$
$920$	5.27697	+	16.3539i	0.173976	+	0.539173i
$921$	1.14002	−	1.97457i	0.0375650	−	0.0650644i
$922$	2.95085	−	0.790678i	0.0971810	−	0.0260396i
$923$	−0.334832	−	0.579947i	−0.0110211	−	0.0190892i
$924$	−16.7230			−0.550146
$925$	25.8455	−	16.0316i	0.849793	−	0.527116i
$926$	−3.98037			−0.130803
$927$	3.24657	+	5.62322i	0.106631	+	0.184691i
$928$	−9.58317	+	2.56780i	−0.314583	+	0.0842923i
$929$	−29.5468	+	51.1766i	−0.969400	+	1.67905i	−0.272103	+	0.962268i	$0.587719\pi$
$929$	−29.5468	+	51.1766i	−0.969400	+	1.67905i	−0.697297	+	0.716782i	$0.745614\pi$
$930$	4.88069	+	15.1258i	0.160044	+	0.495996i
$931$	−5.09079	−	5.09079i	−0.166844	−	0.166844i
$932$	22.5609	−	6.04519i	0.739008	−	0.198017i
$933$	10.5135			0.344196
$934$	−9.80506	+	5.66095i	−0.320831	+	0.185232i
$935$	−25.3404	+	28.0286i	−0.828721	+	0.916632i
$936$			0.525965i			0.0171917i
$937$	−0.367327	+	1.37088i	−0.0120000	+	0.0447848i	−0.971666	−	0.236357i	$-0.924046\pi$
$937$	−0.367327	+	1.37088i	−0.0120000	+	0.0447848i	0.959666	+	0.281142i	$0.0907131\pi$
$938$	−3.06665	+	5.31159i	−0.100130	+	0.173430i
$939$	−26.5889	−	26.5889i	−0.867697	−	0.867697i
$940$	−0.306817	−	0.474566i	−0.0100073	−	0.0154786i
$941$	−21.9507	−	38.0198i	−0.715574	−	1.23941i	−0.962738	−	0.270437i	$-0.912832\pi$
$941$	−21.9507	−	38.0198i	−0.715574	−	1.23941i	0.247164	−	0.968974i	$-0.420501\pi$
$942$	34.1717	−	19.7290i	1.11337	−	0.642807i
$943$	6.97233	+	4.02547i	0.227050	+	0.131087i
$944$	1.89658	+	7.07815i	0.0617286	+	0.230374i
$945$	−17.2661	−	3.70673i	−0.561665	−	0.120580i
$946$	4.63877	−	2.67820i	0.150820	−	0.0870757i
$947$	2.46729	−	1.42449i	0.0801763	−	0.0462898i	−0.459376	−	0.888242i	$-0.651927\pi$
$947$	2.46729	−	1.42449i	0.0801763	−	0.0462898i	0.539552	+	0.841952i	$0.318594\pi$
$948$	−27.6567			−0.898248
$949$	−10.7348	+	2.87637i	−0.348465	+	0.0933709i
$950$	1.33038	−	8.18409i	0.0431632	−	0.265527i
$951$	48.8541			1.58420
$952$	−3.47988	+	3.47988i	−0.112784	+	0.112784i
$953$	4.82271	−	17.9986i	0.156223	−	0.583032i	−0.842774	−	0.538267i	$-0.819079\pi$
$953$	4.82271	−	17.9986i	0.156223	−	0.583032i	0.998998	−	0.0447655i	$-0.0142541\pi$
$954$	0.686519	+	0.686519i	0.0222269	+	0.0222269i
$955$	21.9737	−	42.9099i	0.711053	−	1.38853i
$956$	−1.45701	+	1.45701i	−0.0471232	+	0.0471232i
$957$	50.8778	−	88.1229i	1.64465	−	2.84861i
$958$	7.50892	+	28.0237i	0.242602	+	0.905403i
$959$	12.5245	+	7.23101i	0.404436	+	0.233501i
$960$	2.22404	+	3.44002i	0.0717805	+	0.111026i
$961$			15.9457i			0.514378i
$962$	−8.96516	−	0.620008i	−0.289048	−	0.0199898i
$963$	0.270121	−	0.270121i	0.00870453	−	0.00870453i
$964$	5.81466	−	21.7006i	0.187278	−	0.698930i
$965$	2.62615	+	8.13874i	0.0845387	+	0.261995i
$966$	−19.8796	−	11.4775i	−0.639617	−	0.369283i
$967$	32.0134	+	18.4830i	1.02948	+	0.594372i	0.916836	−	0.399263i	$-0.130734\pi$
$967$	32.0134	+	18.4830i	1.02948	+	0.594372i	0.112646	+	0.993635i	$0.464067\pi$
$968$	20.3445			0.653898
$969$	−7.94081	−	4.58463i	−0.255096	−	0.147279i
$970$	0.103964	+	0.0939930i	0.00333808	+	0.00301793i
$971$	−8.53715	−	14.7868i	−0.273970	−	0.474531i	0.695905	−	0.718134i	$-0.255004\pi$
$971$	−8.53715	−	14.7868i	−0.273970	−	0.474531i	−0.969875	+	0.243604i	$0.921670\pi$
$972$	2.60284	+	2.60284i	0.0834860	+	0.0834860i
$973$	12.1342	+	12.1342i	0.389006	+	0.389006i
$974$	−10.2134	+	5.89669i	−0.327257	+	0.188942i
$975$	−4.79815	−	12.6532i	−0.153664	−	0.405227i
$976$	−1.64856	+	1.64856i	−0.0527691	+	0.0527691i
$977$	−1.19850	−	2.07587i	−0.0383436	−	0.0664130i	0.846217	−	0.532839i	$-0.178875\pi$
$977$	−1.19850	−	2.07587i	−0.0383436	−	0.0664130i	−0.884560	+	0.466426i	$0.845541\pi$
$978$	11.8496	+	3.17510i	0.378909	+	0.101528i
$979$	45.9917	+	12.3234i	1.46990	+	0.393859i
$980$	−9.23876	+	2.98109i	−0.295121	+	0.0952276i
$981$	5.69887	−	1.52701i	0.181951	−	0.0487536i
$982$	5.08613	+	8.80944i	0.162305	+	0.281121i
$983$	9.92232	−	37.0306i	0.316473	−	1.18109i	−0.606138	−	0.795360i	$-0.707282\pi$
$983$	9.92232	−	37.0306i	0.316473	−	1.18109i	0.922611	−	0.385733i	$-0.126051\pi$
$984$	1.85378	+	0.496718i	0.0590963	+	0.0158348i
$985$	−38.1812	+	1.92314i	−1.21655	+	0.0612762i
$986$	−7.75033	−	28.9246i	−0.246821	−	0.921148i
$987$	0.729164	+	0.195379i	0.0232095	+	0.00621898i
$988$	−1.73238	+	1.73238i	−0.0551142	+	0.0551142i
$989$	7.35253			0.233797
$990$	−4.35758	−	0.935499i	−0.138493	−	0.0297321i
$991$	−31.6383	+	31.6383i	−1.00502	+	1.00502i	−0.00503582	+	0.999987i	$0.501603\pi$
$991$	−31.6383	+	31.6383i	−1.00502	+	1.00502i	−0.999987	+	0.00503582i	$0.998397\pi$
$992$	−1.00421	−	3.74778i	−0.0318838	−	0.118992i
$993$		−	42.3588i		−	1.34422i
$994$	0.713887	−	0.191285i	0.0226431	−	0.00606720i
$995$	12.7075	−	24.8150i	0.402856	−	0.786690i
$996$	14.6481	−	25.3713i	0.464144	−	0.803921i
$997$	32.2148	−	18.5992i	1.02025	−	0.589043i	0.106076	−	0.994358i	$-0.466171\pi$
$997$	32.2148	−	18.5992i	1.02025	−	0.589043i	0.914177	+	0.405315i	$0.132838\pi$
$998$	11.9929	+	11.9929i	0.379630	+	0.379630i
$999$	−22.2210	+	19.3463i	−0.703040	+	0.612089i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.q.f.267.3	✓	32
5.3	odd	4		370.2.r.f.193.3	yes	32
37.14	odd	12		370.2.r.f.347.3	yes	32
185.88	even	12	inner	370.2.q.f.273.3	yes	32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.q.f.267.3	✓	32	1.1	even	1	trivial
370.2.q.f.273.3	yes	32	185.88	even	12	inner
370.2.r.f.193.3	yes	32	5.3	odd	4
370.2.r.f.347.3	yes	32	37.14	odd	12

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:	\( N \)	\(=\)	\( 370 = 2 \cdot 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	370.q (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.500000 + 0.866025i) q^{2} +(-1.76952 + 0.474141i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-0.686657 - 2.12803i) q^{5} +(-1.29538 - 1.29538i) q^{6} +(1.57494 - 0.422005i) q^{7} -1.00000 q^{8} +(0.308315 - 0.178006i) q^{9} +O(q^{10})\)	\(q+(0.500000 + 0.866025i) q^{2} +(-1.76952 + 0.474141i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-0.686657 - 2.12803i) q^{5} +(-1.29538 - 1.29538i) q^{6} +(1.57494 - 0.422005i) q^{7} -1.00000 q^{8} +(0.308315 - 0.178006i) q^{9} +(1.49960 - 1.65868i) q^{10} -5.59862i q^{11} +(0.474141 - 1.76952i) q^{12} +(0.738692 - 1.27945i) q^{13} +(1.15294 + 1.15294i) q^{14} +(2.22404 + 3.44002i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(2.61390 - 1.50914i) q^{17} +(0.308315 + 0.178006i) q^{18} +(0.429201 + 1.60180i) q^{19} +(2.18625 + 0.469352i) q^{20} +(-2.58680 + 1.49349i) q^{21} +(4.84855 - 2.79931i) q^{22} +7.68502 q^{23} +(1.76952 - 0.474141i) q^{24} +(-4.05701 + 2.92245i) q^{25} +1.47738 q^{26} +(3.42497 - 3.42497i) q^{27} +(-0.422005 + 1.57494i) q^{28} +(-7.01537 - 7.01537i) q^{29} +(-1.86712 + 3.64608i) q^{30} +(2.74356 - 2.74356i) q^{31} +(0.500000 - 0.866025i) q^{32} +(2.65454 + 9.90687i) q^{33} +(2.61390 + 1.50914i) q^{34} +(-1.97948 - 3.06175i) q^{35} +0.356011i q^{36} +(-6.06827 - 0.419666i) q^{37} +(-1.17260 + 1.17260i) q^{38} +(-0.700489 + 2.61426i) q^{39} +(0.686657 + 2.12803i) q^{40} +(0.907262 + 0.523808i) q^{41} +(-2.58680 - 1.49349i) q^{42} +0.956735 q^{43} +(4.84855 + 2.79931i) q^{44} +(-0.590508 - 0.533874i) q^{45} +(3.84251 + 6.65542i) q^{46} +(-0.178704 - 0.178704i) q^{47} +(1.29538 + 1.29538i) q^{48} +(-3.75982 + 2.17073i) q^{49} +(-4.55942 - 2.05225i) q^{50} +(-3.90981 + 3.90981i) q^{51} +(0.738692 + 1.27945i) q^{52} +(2.63419 + 0.705830i) q^{53} +(4.67859 + 1.25362i) q^{54} +(-11.9140 + 3.84433i) q^{55} +(-1.57494 + 0.422005i) q^{56} +(-1.51896 - 2.63091i) q^{57} +(2.56780 - 9.58317i) q^{58} +(-7.07815 - 1.89658i) q^{59} +(-4.09116 + 0.206066i) q^{60} +(-0.603415 - 2.25197i) q^{61} +(3.74778 + 1.00421i) q^{62} +(0.410459 - 0.410459i) q^{63} +1.00000 q^{64} +(-3.22994 - 0.693413i) q^{65} +(-7.25233 + 7.25233i) q^{66} +(0.973574 + 3.63343i) q^{67} +3.01827i q^{68} +(-13.5988 + 3.64378i) q^{69} +(1.66181 - 3.24516i) q^{70} +(0.226639 - 0.392550i) q^{71} +(-0.308315 + 0.178006i) q^{72} +(-5.31913 - 5.31913i) q^{73} +(-2.67069 - 5.46511i) q^{74} +(5.79330 - 7.09493i) q^{75} +(-1.60180 - 0.429201i) q^{76} +(-2.36264 - 8.81751i) q^{77} +(-2.61426 + 0.700489i) q^{78} +(-3.90738 - 14.5825i) q^{79} +(-1.49960 + 1.65868i) q^{80} +(-4.97065 + 8.60941i) q^{81} +1.04762i q^{82} +(15.4470 + 4.13901i) q^{83} -2.98698i q^{84} +(-5.00634 - 4.52619i) q^{85} +(0.478368 + 0.828557i) q^{86} +(15.7401 + 9.08756i) q^{87} +5.59862i q^{88} +(-2.20116 + 8.21484i) q^{89} +(0.167095 - 0.778332i) q^{90} +(0.623463 - 2.32680i) q^{91} +(-3.84251 + 6.65542i) q^{92} +(-3.55395 + 6.15563i) q^{93} +(0.0654100 - 0.244114i) q^{94} +(3.11396 - 2.01324i) q^{95} +(-0.474141 + 1.76952i) q^{96} +0.0626788i q^{97} +(-3.75982 - 2.17073i) q^{98} +(-0.996586 - 1.72614i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q + 16 q^{2} - 2 q^{3} - 16 q^{4} + 6 q^{5} + 8 q^{6} - 10 q^{7} - 32 q^{8} + 12 q^{9}+O(q^{10}) \) 32 * q + 16 * q^2 - 2 * q^3 - 16 * q^4 + 6 * q^5 + 8 * q^6 - 10 * q^7 - 32 * q^8 + 12 * q^9	\( 32 q + 16 q^{2} - 2 q^{3} - 16 q^{4} + 6 q^{5} + 8 q^{6} - 10 q^{7} - 32 q^{8} + 12 q^{9} + 6 q^{10} + 10 q^{12} + 10 q^{13} - 8 q^{14} - 8 q^{15} - 16 q^{16} - 12 q^{17} + 12 q^{18} + 2 q^{19} - 54 q^{21} + 6 q^{22} + 12 q^{23} + 2 q^{24} - 16 q^{25} + 20 q^{26} + 40 q^{27} + 2 q^{28} + 6 q^{29} + 8 q^{30} - 4 q^{31} + 16 q^{32} + 26 q^{33} - 12 q^{34} - 12 q^{35} + 20 q^{37} - 26 q^{38} - 58 q^{39} - 6 q^{40} + 18 q^{41} - 54 q^{42} - 32 q^{43} + 6 q^{44} + 56 q^{45} + 6 q^{46} + 18 q^{47} - 8 q^{48} - 12 q^{49} - 14 q^{50} - 4 q^{51} + 10 q^{52} - 24 q^{53} + 20 q^{54} - 32 q^{55} + 10 q^{56} + 8 q^{57} + 36 q^{58} + 42 q^{59} + 16 q^{60} - 46 q^{61} - 14 q^{62} + 32 q^{64} - 18 q^{65} + 4 q^{66} + 50 q^{67} - 66 q^{69} + 12 q^{70} - 12 q^{71} - 12 q^{72} - 28 q^{73} + 16 q^{74} - 20 q^{75} - 28 q^{76} + 12 q^{77} - 26 q^{78} + 38 q^{79} - 6 q^{80} + 56 q^{81} - 8 q^{85} - 16 q^{86} + 18 q^{87} + 18 q^{89} + 4 q^{90} + 4 q^{91} - 6 q^{92} + 32 q^{93} + 30 q^{94} + 96 q^{95} - 10 q^{96} - 12 q^{98} - 26 q^{99}+O(q^{100}) \) 32 * q + 16 * q^2 - 2 * q^3 - 16 * q^4 + 6 * q^5 + 8 * q^6 - 10 * q^7 - 32 * q^8 + 12 * q^9 + 6 * q^10 + 10 * q^12 + 10 * q^13 - 8 * q^14 - 8 * q^15 - 16 * q^16 - 12 * q^17 + 12 * q^18 + 2 * q^19 - 54 * q^21 + 6 * q^22 + 12 * q^23 + 2 * q^24 - 16 * q^25 + 20 * q^26 + 40 * q^27 + 2 * q^28 + 6 * q^29 + 8 * q^30 - 4 * q^31 + 16 * q^32 + 26 * q^33 - 12 * q^34 - 12 * q^35 + 20 * q^37 - 26 * q^38 - 58 * q^39 - 6 * q^40 + 18 * q^41 - 54 * q^42 - 32 * q^43 + 6 * q^44 + 56 * q^45 + 6 * q^46 + 18 * q^47 - 8 * q^48 - 12 * q^49 - 14 * q^50 - 4 * q^51 + 10 * q^52 - 24 * q^53 + 20 * q^54 - 32 * q^55 + 10 * q^56 + 8 * q^57 + 36 * q^58 + 42 * q^59 + 16 * q^60 - 46 * q^61 - 14 * q^62 + 32 * q^64 - 18 * q^65 + 4 * q^66 + 50 * q^67 - 66 * q^69 + 12 * q^70 - 12 * q^71 - 12 * q^72 - 28 * q^73 + 16 * q^74 - 20 * q^75 - 28 * q^76 + 12 * q^77 - 26 * q^78 + 38 * q^79 - 6 * q^80 + 56 * q^81 - 8 * q^85 - 16 * q^86 + 18 * q^87 + 18 * q^89 + 4 * q^90 + 4 * q^91 - 6 * q^92 + 32 * q^93 + 30 * q^94 + 96 * q^95 - 10 * q^96 - 12 * q^98 - 26 * q^99

Introduction

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