LMFDB - Embedded newform 342.2.x.c.41.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [342,2,Mod(29,342)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(342, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([3, 17]))

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

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

chi := DirichletCharacter("342.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 342 = 2 \cdot 3^{2} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	342.x (of order $18$, 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:	$2.73088374913$
Analytic rank:	$0$
Dimension:	$60$
Relative dimension:	$10$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			41.5
Character	$\chi$	$=$	342.41
Dual form			342.2.x.c.317.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.173648 - 0.984808i) q^{2} +(-0.366266 + 1.69288i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(-0.275077 + 0.327824i) q^{5} +(1.60356 + 0.654667i) q^{6} +(-0.767495 + 1.32934i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-2.73170 - 1.24009i) q^{9} +O(q^{10})$	\(q+(0.173648 - 0.984808i) q^{2} +(-0.366266 + 1.69288i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(-0.275077 + 0.327824i) q^{5} +(1.60356 + 0.654667i) q^{6} +(-0.767495 + 1.32934i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-2.73170 - 1.24009i) q^{9} +(0.275077 + 0.327824i) q^{10} +0.522608i q^{11} +(0.923177 - 1.46552i) q^{12} +(4.07145 + 4.85217i) q^{13} +(1.17587 + 0.986673i) q^{14} +(-0.454217 - 0.585744i) q^{15} +(0.766044 + 0.642788i) q^{16} +(-4.88472 + 5.82138i) q^{17} +(-1.69560 + 2.47486i) q^{18} +(-4.35864 - 0.0472987i) q^{19} +(0.370611 - 0.213972i) q^{20} +(-1.96931 - 1.78617i) q^{21} +(0.514668 + 0.0907499i) q^{22} +(0.347984 - 0.956077i) q^{23} +(-1.28295 - 1.16364i) q^{24} +(0.836440 + 4.74368i) q^{25} +(5.48545 - 3.16703i) q^{26} +(3.09985 - 4.17024i) q^{27} +(1.17587 - 0.986673i) q^{28} +(0.134014 + 0.0487770i) q^{29} +(-0.655719 + 0.345603i) q^{30} -4.07063i q^{31} +(0.766044 - 0.642788i) q^{32} +(-0.884714 - 0.191413i) q^{33} +(4.88472 + 5.82138i) q^{34} +(-0.224670 - 0.617275i) q^{35} +(2.14282 + 2.09960i) q^{36} +10.5741i q^{37} +(-0.803450 + 4.28421i) q^{38} +(-9.70538 + 5.11531i) q^{39} +(-0.146366 - 0.402136i) q^{40} +(2.16736 - 12.2917i) q^{41} +(-2.10100 + 1.62923i) q^{42} +(8.08219 - 2.94168i) q^{43} +(0.178742 - 0.491091i) q^{44} +(1.15796 - 0.554397i) q^{45} +(-0.881125 - 0.508718i) q^{46} +(2.82824 - 7.77053i) q^{47} +(-1.36874 + 1.06139i) q^{48} +(2.32190 + 4.02165i) q^{49} +4.81686 q^{50} +(-8.06580 - 10.4014i) q^{51} +(-2.16637 - 5.95207i) q^{52} +(-0.471335 - 2.67307i) q^{53} +(-3.56860 - 3.77691i) q^{54} +(-0.171324 - 0.143758i) q^{55} +(-0.767495 - 1.32934i) q^{56} +(1.67649 - 7.36134i) q^{57} +(0.0713072 - 0.123508i) q^{58} +(-0.232373 + 0.0845770i) q^{59} +(0.226488 + 0.705771i) q^{60} +(5.20553 - 4.36796i) q^{61} +(-4.00879 - 0.706857i) q^{62} +(3.74507 - 2.67959i) q^{63} +(-0.500000 - 0.866025i) q^{64} -2.71062 q^{65} +(-0.342134 + 0.838034i) q^{66} +(4.98056 - 0.878207i) q^{67} +(6.58116 - 3.79963i) q^{68} +(1.49107 + 0.939273i) q^{69} +(-0.646911 + 0.114068i) q^{70} +(-0.952433 + 5.40152i) q^{71} +(2.43980 - 1.74568i) q^{72} +(-3.24234 + 1.18012i) q^{73} +(10.4134 + 1.83617i) q^{74} +(-8.33686 - 0.321456i) q^{75} +(4.07961 + 1.53519i) q^{76} +(-0.694724 - 0.401099i) q^{77} +(3.35227 + 10.4462i) q^{78} +(-6.72293 + 8.01207i) q^{79} +(-0.421443 + 0.0743118i) q^{80} +(5.92436 + 6.77510i) q^{81} +(-11.7286 - 4.26887i) q^{82} +(-9.57783 - 5.52976i) q^{83} +(1.23964 + 2.35199i) q^{84} +(-0.564715 - 3.20266i) q^{85} +(-1.49353 - 8.47022i) q^{86} +(-0.131658 + 0.209004i) q^{87} +(-0.452592 - 0.261304i) q^{88} +(-0.0126757 - 0.00461358i) q^{89} +(-0.344897 - 1.23664i) q^{90} +(-9.57500 + 1.68833i) q^{91} +(-0.653995 + 0.779401i) q^{92} +(6.89109 + 1.49093i) q^{93} +(-7.16136 - 4.13461i) q^{94} +(1.21447 - 1.41586i) q^{95} +(0.807588 + 1.53225i) q^{96} +(2.29505 + 0.404679i) q^{97} +(4.36375 - 1.58828i) q^{98} +(0.648081 - 1.42761i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 60 q - 6 q^{3} - 30 q^{8} + 6 q^{9}+O(q^{10}) $ 60 * q - 6 * q^3 - 30 * q^8 + 6 * q^9	$ 60 q - 6 q^{3} - 30 q^{8} + 6 q^{9} + 3 q^{13} + 3 q^{14} + 27 q^{15} - 27 q^{17} - 18 q^{18} + 3 q^{19} + 18 q^{23} + 3 q^{24} - 6 q^{27} + 3 q^{28} + 57 q^{33} + 27 q^{34} + 9 q^{38} - 30 q^{39} + 9 q^{41} - 3 q^{43} - 9 q^{44} + 27 q^{45} - 30 q^{49} - 132 q^{50} - 66 q^{51} + 6 q^{52} + 27 q^{54} + 102 q^{57} - 54 q^{59} + 6 q^{60} - 24 q^{61} - 3 q^{62} - 30 q^{64} + 36 q^{65} - 63 q^{66} + 51 q^{67} - 18 q^{68} + 3 q^{69} - 18 q^{71} - 3 q^{72} - 66 q^{73} - 6 q^{74} + 3 q^{78} - 51 q^{79} - 30 q^{81} - 36 q^{83} + 60 q^{84} - 3 q^{86} + 54 q^{87} - 27 q^{89} + 36 q^{90} - 69 q^{91} + 69 q^{93} + 18 q^{94} - 27 q^{95} + 81 q^{97} + 60 q^{98} + 51 q^{99}+O(q^{100}) $ 60 * q - 6 * q^3 - 30 * q^8 + 6 * q^9 + 3 * q^13 + 3 * q^14 + 27 * q^15 - 27 * q^17 - 18 * q^18 + 3 * q^19 + 18 * q^23 + 3 * q^24 - 6 * q^27 + 3 * q^28 + 57 * q^33 + 27 * q^34 + 9 * q^38 - 30 * q^39 + 9 * q^41 - 3 * q^43 - 9 * q^44 + 27 * q^45 - 30 * q^49 - 132 * q^50 - 66 * q^51 + 6 * q^52 + 27 * q^54 + 102 * q^57 - 54 * q^59 + 6 * q^60 - 24 * q^61 - 3 * q^62 - 30 * q^64 + 36 * q^65 - 63 * q^66 + 51 * q^67 - 18 * q^68 + 3 * q^69 - 18 * q^71 - 3 * q^72 - 66 * q^73 - 6 * q^74 + 3 * q^78 - 51 * q^79 - 30 * q^81 - 36 * q^83 + 60 * q^84 - 3 * q^86 + 54 * q^87 - 27 * q^89 + 36 * q^90 - 69 * q^91 + 69 * q^93 + 18 * q^94 - 27 * q^95 + 81 * q^97 + 60 * q^98 + 51 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/342\mathbb{Z}\right)^\times$.

$n$	$191$	$325$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{13}{18}\right)$

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 $

$2$	0.173648	−	0.984808i	0.122788	−	0.696364i
$2$	0.173648	−	0.984808i	0.122788	−	0.696364i
$3$	−0.366266	+	1.69288i	−0.211464	+	0.977386i
$3$	−0.366266	+	1.69288i	−0.211464	+	0.977386i
$4$	−0.939693	−	0.342020i	−0.469846	−	0.171010i
$5$	−0.275077	+	0.327824i	−0.123018	+	0.146608i	−0.824038	−	0.566534i	$-0.808284\pi$
$5$	−0.275077	+	0.327824i	−0.123018	+	0.146608i	0.701020	+	0.713142i	$0.252728\pi$
$6$	1.60356	+	0.654667i	0.654651	+	0.267267i
$7$	−0.767495	+	1.32934i	−0.290086	+	0.502443i	−0.973830	−	0.227279i	$-0.927017\pi$
$7$	−0.767495	+	1.32934i	−0.290086	+	0.502443i	0.683744	+	0.729722i	$0.260351\pi$
$8$	−0.500000	+	0.866025i	−0.176777	+	0.306186i
$9$	−2.73170	−	1.24009i	−0.910566	−	0.413363i
$10$	0.275077	+	0.327824i	0.0869871	+	0.103667i
$11$			0.522608i			0.157572i	0.996892	+	0.0787861i	$0.0251044\pi$
$11$			0.522608i			0.157572i	−0.996892	+	0.0787861i	$0.974896\pi$
$12$	0.923177	−	1.46552i	0.266498	−	0.423059i
$13$	4.07145	+	4.85217i	1.12922	+	1.34575i	0.930756	+	0.365641i	$0.119150\pi$
$13$	4.07145	+	4.85217i	1.12922	+	1.34575i	0.198462	+	0.980109i	$0.436405\pi$
$14$	1.17587	+	0.986673i	0.314265	+	0.263699i
$15$	−0.454217	−	0.585744i	−0.117278	−	0.151239i
$16$	0.766044	+	0.642788i	0.191511	+	0.160697i
$17$	−4.88472	+	5.82138i	−1.18472	+	1.41189i	−0.294929	+	0.955519i	$0.595296\pi$
$17$	−4.88472	+	5.82138i	−1.18472	+	1.41189i	−0.889789	+	0.456372i	$0.849149\pi$
$18$	−1.69560	+	2.47486i	−0.399658	+	0.583330i
$19$	−4.35864	−	0.0472987i	−0.999941	−	0.0108511i
$19$	−4.35864	−	0.0472987i	−0.999941	−	0.0108511i
$20$	0.370611	−	0.213972i	0.0828711	−	0.0478456i
$21$	−1.96931	−	1.78617i	−0.429738	−	0.389774i
$22$	0.514668	+	0.0907499i	0.109728	+	0.0193479i
$23$	0.347984	−	0.956077i	0.0725596	−	0.199356i	−0.898111	−	0.439768i	$-0.855061\pi$
$23$	0.347984	−	0.956077i	0.0725596	−	0.199356i	0.970671	+	0.240413i	$0.0772827\pi$
$24$	−1.28295	−	1.16364i	−0.261880	−	0.237526i
$25$	0.836440	+	4.74368i	0.167288	+	0.948737i
$26$	5.48545	−	3.16703i	1.07579	−	0.621105i
$27$	3.09985	−	4.17024i	0.596567	−	0.802563i
$28$	1.17587	−	0.986673i	0.222219	−	0.186464i
$29$	0.134014	+	0.0487770i	0.0248857	+	0.00905766i	0.354433	−	0.935081i	$-0.384674\pi$
$29$	0.134014	+	0.0487770i	0.0248857	+	0.00905766i	−0.329547	+	0.944139i	$0.606896\pi$
$30$	−0.655719	+	0.345603i	−0.119717	+	0.0630981i
$31$		−	4.07063i		−	0.731106i	−0.930790	−	0.365553i	$-0.880880\pi$
$31$		−	4.07063i		−	0.731106i	0.930790	−	0.365553i	$-0.119120\pi$
$32$	0.766044	−	0.642788i	0.135419	−	0.113630i
$33$	−0.884714	−	0.191413i	−0.154009	−	0.0333208i
$34$	4.88472	+	5.82138i	0.837722	+	0.998358i
$35$	−0.224670	−	0.617275i	−0.0379761	−	0.104339i
$36$	2.14282	+	2.09960i	0.357137	+	0.349933i
$37$			10.5741i			1.73837i	0.494490	+	0.869183i	$0.335355\pi$
$37$			10.5741i			1.73837i	−0.494490	+	0.869183i	$0.664645\pi$
$38$	−0.803450	+	4.28421i	−0.130337	+	0.694991i
$39$	−9.70538	+	5.11531i	−1.55410	+	0.819104i
$40$	−0.146366	−	0.402136i	−0.0231424	−	0.0635833i
$41$	2.16736	−	12.2917i	0.338485	−	1.91964i	−0.0511838	−	0.998689i	$-0.516299\pi$
$41$	2.16736	−	12.2917i	0.338485	−	1.91964i	0.389669	−	0.920955i	$-0.372589\pi$
$42$	−2.10100	+	1.62923i	−0.324192	+	0.251395i
$43$	8.08219	−	2.94168i	1.23252	−	0.448601i	0.358062	−	0.933698i	$-0.383438\pi$
$43$	8.08219	−	2.94168i	1.23252	−	0.448601i	0.874461	+	0.485096i	$0.161216\pi$
$44$	0.178742	−	0.491091i	0.0269464	−	0.0740347i
$45$	1.15796	−	0.554397i	0.172618	−	0.0826446i
$46$	−0.881125	−	0.508718i	−0.129915	−	0.0750064i
$47$	2.82824	−	7.77053i	0.412542	−	1.13345i	−0.543293	−	0.839543i	$-0.682823\pi$
$47$	2.82824	−	7.77053i	0.412542	−	1.13345i	0.955834	−	0.293906i	$-0.0949551\pi$
$48$	−1.36874	+	1.06139i	−0.197561	+	0.153199i
$49$	2.32190	+	4.02165i	0.331700	+	0.574522i
$50$	4.81686			0.681207
$51$	−8.06580	−	10.4014i	−1.12944	−	1.45649i
$52$	−2.16637	−	5.95207i	−0.300422	−	0.825403i
$53$	−0.471335	−	2.67307i	−0.0647428	−	0.367175i	−0.999916	−	0.0129832i	$-0.995867\pi$
$53$	−0.471335	−	2.67307i	−0.0647428	−	0.367175i	0.935173	−	0.354192i	$-0.115244\pi$
$54$	−3.56860	−	3.77691i	−0.485625	−	0.513973i
$55$	−0.171324	−	0.143758i	−0.0231013	−	0.0193843i
$56$	−0.767495	−	1.32934i	−0.102561	−	0.177641i
$57$	1.67649	−	7.36134i	0.222057	−	0.975034i
$58$	0.0713072	−	0.123508i	0.00936309	−	0.0162174i
$59$	−0.232373	+	0.0845770i	−0.0302525	+	0.0110110i	−0.357102	−	0.934065i	$-0.616235\pi$
$59$	−0.232373	+	0.0845770i	−0.0302525	+	0.0110110i	0.326850	+	0.945076i	$0.394013\pi$
$60$	0.226488	+	0.705771i	0.0292394	+	0.0911146i
$61$	5.20553	−	4.36796i	0.666500	−	0.559260i	−0.245527	−	0.969390i	$-0.578961\pi$
$61$	5.20553	−	4.36796i	0.666500	−	0.559260i	0.912027	+	0.410130i	$0.134517\pi$
$62$	−4.00879	−	0.706857i	−0.509116	−	0.0897709i
$63$	3.74507	−	2.67959i	0.471834	−	0.337597i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	−2.71062			−0.336211
$66$	−0.342134	+	0.838034i	−0.0421138	+	0.103155i
$67$	4.98056	−	0.878207i	0.608472	−	0.107290i	0.139082	−	0.990281i	$-0.455585\pi$
$67$	4.98056	−	0.878207i	0.608472	−	0.107290i	0.469390	+	0.882991i	$0.344474\pi$
$68$	6.58116	−	3.79963i	0.798083	−	0.460773i
$69$	1.49107	+	0.939273i	0.179504	+	0.113075i
$70$	−0.646911	+	0.114068i	−0.0773206	+	0.0136337i
$71$	−0.952433	+	5.40152i	−0.113033	+	0.641042i	0.874672	+	0.484715i	$0.161077\pi$
$71$	−0.952433	+	5.40152i	−0.113033	+	0.641042i	−0.987705	+	0.156327i	$0.950035\pi$
$72$	2.43980	−	1.74568i	0.287533	−	0.205730i
$73$	−3.24234	+	1.18012i	−0.379487	+	0.138122i	−0.524719	−	0.851276i	$-0.675830\pi$
$73$	−3.24234	+	1.18012i	−0.379487	+	0.138122i	0.145232	+	0.989398i	$0.453607\pi$
$74$	10.4134	+	1.83617i	1.21054	+	0.213450i
$75$	−8.33686	−	0.321456i	−0.962657	−	0.0371185i
$76$	4.07961	+	1.53519i	0.467963	+	0.176098i
$77$	−0.694724	−	0.401099i	−0.0791711	−	0.0457095i
$78$	3.35227	+	10.4462i	0.379570	+	1.18280i
$79$	−6.72293	+	8.01207i	−0.756388	+	0.901429i	−0.997614	−	0.0690405i	$-0.978006\pi$
$79$	−6.72293	+	8.01207i	−0.756388	+	0.901429i	0.241225	+	0.970469i	$0.422451\pi$
$80$	−0.421443	+	0.0743118i	−0.0471188	+	0.00830831i
$81$	5.92436	+	6.77510i	0.658262	+	0.752789i
$82$	−11.7286	−	4.26887i	−1.29521	−	0.471418i
$83$	−9.57783	−	5.52976i	−1.05130	−	0.606970i	−0.128289	−	0.991737i	$-0.540949\pi$
$83$	−9.57783	−	5.52976i	−1.05130	−	0.606970i	−0.923014	+	0.384767i	$0.874282\pi$
$84$	1.23964	+	2.35199i	0.135256	+	0.256624i
$85$	−0.564715	−	3.20266i	−0.0612519	−	0.347377i
$86$	−1.49353	−	8.47022i	−0.161051	−	0.913367i
$87$	−0.131658	+	0.209004i	−0.0141153	+	0.0224076i
$88$	−0.452592	−	0.261304i	−0.0482464	−	0.0278551i
$89$	−0.0126757	−	0.00461358i	−0.00134362	−	0.000489039i	0.341348	−	0.939937i	$-0.389116\pi$
$89$	−0.0126757	−	0.00461358i	−0.00134362	−	0.000489039i	−0.342692	+	0.939448i	$0.611339\pi$
$90$	−0.344897	−	1.23664i	−0.0363553	−	0.130353i
$91$	−9.57500	+	1.68833i	−1.00373	+	0.176985i
$92$	−0.653995	+	0.779401i	−0.0681837	+	0.0812582i
$93$	6.89109	+	1.49093i	0.714573	+	0.154602i
$94$	−7.16136	−	4.13461i	−0.738638	−	0.426453i
$95$	1.21447	−	1.41586i	0.124602	−	0.145264i
$96$	0.807588	+	1.53225i	0.0824241	+	0.156385i
$97$	2.29505	+	0.404679i	0.233027	+	0.0410889i	0.288942	−	0.957347i	$-0.406697\pi$
$97$	2.29505	+	0.404679i	0.233027	+	0.0410889i	−0.0559151	+	0.998436i	$0.517808\pi$
$98$	4.36375	−	1.58828i	0.440805	−	0.160440i
$99$	0.648081	−	1.42761i	0.0651345	−	0.143480i
$100$	0.836440	−	4.74368i	0.0836440	−	0.474368i
$101$	12.2428	−	2.15873i	1.21820	−	0.214801i	0.472649	−	0.881251i	$-0.343298\pi$
$101$	12.2428	−	2.15873i	1.21820	−	0.214801i	0.745550	+	0.666449i	$0.232187\pi$
$102$	−11.6440	+	6.13708i	−1.15293	+	0.607661i
$103$	4.24493	−	2.45081i	0.418266	−	0.241486i	−0.276069	−	0.961138i	$-0.589032\pi$
$103$	4.24493	−	2.45081i	0.418266	−	0.241486i	0.694335	+	0.719652i	$0.255699\pi$
$104$	−6.23783	+	1.09990i	−0.611669	+	0.107854i
$105$	1.12726	−	0.154253i	0.110010	−	0.0150535i
$106$	−2.71431			−0.263637
$107$	0.472272	+	0.817999i	0.0456562	+	0.0790789i	0.887950	−	0.459939i	$-0.152129\pi$
$107$	0.472272	+	0.817999i	0.0456562	+	0.0790789i	−0.842294	+	0.539018i	$0.818795\pi$
$108$	−4.33922	+	2.85853i	−0.417541	+	0.275062i
$109$	−5.37663	−	0.948044i	−0.514987	−	0.0908062i	−0.0898862	−	0.995952i	$-0.528650\pi$
$109$	−5.37663	−	0.948044i	−0.514987	−	0.0908062i	−0.425101	+	0.905146i	$0.639761\pi$
$110$	−0.171324	+	0.143758i	−0.0163351	+	0.0137067i
$111$	−17.9007	−	3.87292i	−1.69905	−	0.367601i
$112$	−1.44242	+	0.524998i	−0.136296	+	0.0496076i
$113$	−7.00185	+	12.1276i	−0.658679	+	1.14086i	0.322279	+	0.946645i	$0.395551\pi$
$113$	−7.00185	+	12.1276i	−0.658679	+	1.14086i	−0.980958	+	0.194220i	$0.937782\pi$
$114$	−6.95839	−	2.92931i	−0.651713	−	0.274355i
$115$	0.217703	+	0.377073i	0.0203009	+	0.0351622i
$116$	−0.109249	−	0.0916708i	−0.0101435	−	0.00851142i
$117$	−5.10486	−	18.3036i	−0.471944	−	1.69217i
$118$	0.0429409	+	0.243530i	0.00395303	+	0.0224187i
$119$	−3.98960	−	10.9613i	−0.365726	−	1.00482i
$120$	0.734378	−	0.100491i	0.0670392	−	0.00917353i
$121$	10.7269			0.975171
$122$	−3.39767	−	5.88493i	−0.307610	−	0.532797i
$123$	20.0146	+	8.17112i	1.80466	+	0.736766i
$124$	−1.39224	+	3.82514i	−0.125027	+	0.343508i
$125$	−3.63823	−	2.10054i	−0.325414	−	0.187878i
$126$	−1.98856	−	4.15348i	−0.177155	−	0.370021i
$127$	−2.00000	+	5.49495i	−0.177471	+	0.487598i	−0.996251	−	0.0865097i	$-0.972429\pi$
$127$	−2.00000	+	5.49495i	−0.177471	+	0.487598i	0.818780	+	0.574108i	$0.194651\pi$
$128$	−0.939693	+	0.342020i	−0.0830579	+	0.0302306i
$129$	2.01968	+	14.7596i	0.177823	+	1.29951i
$130$	−0.470695	+	2.66944i	−0.0412827	+	0.234126i
$131$	4.51658	+	12.4092i	0.394615	+	1.08420i	0.964870	+	0.262728i	$0.0846222\pi$
$131$	4.51658	+	12.4092i	0.394615	+	1.08420i	−0.570255	+	0.821468i	$0.693156\pi$
$132$	0.765892	+	0.482460i	0.0666623	+	0.0419927i
$133$	3.40811	−	5.75782i	0.295521	−	0.499266i
$134$		−	5.05739i		−	0.436892i
$135$	0.514408	+	2.16335i	0.0442732	+	0.186191i
$136$	−2.59910	−	7.14098i	−0.222871	−	0.612334i
$137$	10.1130	+	12.0522i	0.864015	+	1.02969i	0.999244	+	0.0388783i	$0.0123785\pi$
$137$	10.1130	+	12.0522i	0.864015	+	1.02969i	−0.135229	+	0.990814i	$0.543177\pi$
$138$	1.18393	−	1.30532i	0.100782	−	0.111116i
$139$	9.56398	−	8.02513i	0.811206	−	0.680683i	−0.139689	−	0.990195i	$-0.544610\pi$
$139$	9.56398	−	8.02513i	0.811206	−	0.680683i	0.950895	+	0.309513i	$0.100166\pi$
$140$			0.656890i			0.0555174i
$141$	12.1187	+	7.63396i	1.02058	+	0.642896i
$142$	5.15407	+	1.87593i	0.432520	+	0.157424i
$143$	−2.53578	+	2.12777i	−0.212053	+	0.177933i
$144$	−1.29549	−	2.70587i	−0.107957	−	0.225489i
$145$	−0.0528544	+	0.0305155i	−0.00438932	+	0.00253418i
$146$	0.599160	+	3.39801i	0.0495869	+	0.281221i
$147$	−7.65862	+	2.45771i	−0.631672	+	0.202709i
$148$	3.61654	−	9.93637i	0.297278	−	0.816765i
$149$	−2.58844	−	0.456413i	−0.212054	−	0.0373908i	0.0666120	−	0.997779i	$-0.478781\pi$
$149$	−2.58844	−	0.456413i	−0.212054	−	0.0373908i	−0.278666	+	0.960388i	$0.589892\pi$
$150$	−1.76425	+	8.15438i	−0.144051	+	0.665802i
$151$	−14.3955	+	8.31126i	−1.17149	+	0.676361i	−0.954031	−	0.299708i	$-0.903111\pi$
$151$	−14.3955	+	8.31126i	−1.17149	+	0.676361i	−0.217460	+	0.976069i	$0.569777\pi$
$152$	2.22028	−	3.75105i	0.180089	−	0.304250i
$153$	20.5626	−	9.84477i	1.66239	−	0.795902i
$154$	−0.515643	+	0.614519i	−0.0415517	+	0.0495194i
$155$	1.33445	+	1.11974i	0.107186	+	0.0899395i
$156$	10.8696	−	1.48738i	0.870266	−	0.119086i
$157$	−10.3895	−	8.71782i	−0.829172	−	0.695758i	0.125929	−	0.992039i	$-0.459809\pi$
$157$	−10.3895	−	8.71782i	−0.829172	−	0.695758i	−0.955101	+	0.296281i	$0.904253\pi$
$158$	6.72293	+	8.01207i	0.534847	+	0.637406i
$159$	4.69783	+	0.181141i	0.372562	+	0.0143654i
$160$			0.427944i			0.0338320i
$161$	1.00388	+	1.19637i	0.0791165	+	0.0942874i
$162$	7.70093	−	4.65787i	0.605042	−	0.365957i
$163$	7.18431	−	12.4436i	0.562719	−	0.974657i	−0.434539	−	0.900653i	$-0.643089\pi$
$163$	7.18431	−	12.4436i	0.562719	−	0.974657i	0.997258	−	0.0740043i	$-0.0235778\pi$
$164$	−6.24067	+	10.8092i	−0.487314	+	0.844053i
$165$	0.306115	−	0.237377i	0.0238310	−	0.0184798i
$166$	−7.10892	+	8.47209i	−0.551759	+	0.657561i
$167$	18.7570	+	6.82699i	1.45146	+	0.528288i	0.942999	−	0.332796i	$-0.107992\pi$
$167$	18.7570	+	6.82699i	1.45146	+	0.528288i	0.508461	+	0.861085i	$0.330214\pi$
$168$	2.53152	−	0.812387i	0.195311	−	0.0626770i
$169$	−4.70938	+	26.7082i	−0.362260	+	2.05448i
$170$	−3.25206			−0.249422
$171$	11.8478	+	5.53431i	0.906027	+	0.423219i
$172$	−8.60089			−0.655811
$173$	−0.116455	+	0.660449i	−0.00885391	+	0.0502130i	−0.988915	−	0.148485i	$-0.952560\pi$
$173$	−0.116455	+	0.660449i	−0.00885391	+	0.0502130i	0.980061	+	0.198698i	$0.0636714\pi$
$174$	0.182967	+	0.165951i	0.0138707	+	0.0125807i
$175$	−6.94793	−	2.52884i	−0.525214	−	0.191162i
$176$	−0.335926	+	0.400341i	−0.0253214	+	0.0301768i
$177$	−0.0580685	−	0.424359i	−0.00436469	−	0.0318967i
$178$	−0.00674460	+	0.0116820i	−0.000505529	+	0.000875603i
$179$	−6.83515	+	11.8388i	−0.510883	+	0.884876i	0.489037	+	0.872263i	$0.337348\pi$
$179$	−6.83515	+	11.8388i	−0.510883	+	0.884876i	−0.999920	+	0.0126129i	$0.995985\pi$
$180$	−1.27774	+	0.124917i	−0.0952372	+	0.00931077i
$181$	−1.46879	−	1.75044i	−0.109175	−	0.130109i	0.708690	−	0.705520i	$-0.249287\pi$
$181$	−1.46879	−	1.75044i	−0.109175	−	0.130109i	−0.817864	+	0.575411i	$0.804842\pi$
$182$			9.72271i			0.720695i
$183$	5.48783	+	10.4122i	0.405672	+	0.769691i
$184$	0.653995	+	0.779401i	0.0482132	+	0.0574582i
$185$	−3.46644	−	2.90869i	−0.254858	−	0.213851i
$186$	2.66491	−	6.52750i	0.195400	−	0.478620i
$187$	−3.04230	−	2.55279i	−0.222475	−	0.186679i
$188$	−5.31536	+	6.33460i	−0.387662	+	0.461998i
$189$	3.16455	+	7.32140i	0.230187	+	0.532553i
$190$	−1.18346	−	1.44188i	−0.0858571	−	0.104605i
$191$	1.96631	−	1.13525i	0.142277	−	0.0821436i	−0.427172	−	0.904170i	$-0.640490\pi$
$191$	1.96631	−	1.13525i	0.142277	−	0.0821436i	0.569449	+	0.822027i	$0.307157\pi$
$192$	1.64921	−	0.529246i	0.119022	−	0.0381950i
$193$	20.1721	+	3.55688i	1.45202	+	0.256030i	0.843337	−	0.537385i	$-0.180588\pi$
$193$	20.1721	+	3.55688i	1.45202	+	0.256030i	0.608681	+	0.793415i	$0.291699\pi$
$194$	0.797062	−	2.18991i	0.0572257	−	0.157226i
$195$	0.992809	−	4.58877i	0.0710965	−	0.328608i
$196$	−0.806388	−	4.57326i	−0.0575992	−	0.326661i
$197$	7.48082	−	4.31906i	0.532987	−	0.307720i	−0.209245	−	0.977863i	$-0.567101\pi$
$197$	7.48082	−	4.31906i	0.532987	−	0.307720i	0.742232	+	0.670143i	$0.233767\pi$
$198$	−1.29338	−	0.886136i	−0.0919166	−	0.0629750i
$199$	18.2119	−	15.2816i	1.29101	−	1.08328i	0.299381	−	0.954134i	$-0.403220\pi$
$199$	18.2119	−	15.2816i	1.29101	−	1.08328i	0.991625	−	0.129149i	$-0.0412246\pi$
$200$	−4.52637	−	1.64746i	−0.320063	−	0.116493i
$201$	−0.337508	+	8.75315i	−0.0238059	+	0.617400i
$202$		−	12.4316i		−	0.874686i
$203$	−0.167696	+	0.140714i	−0.0117700	+	0.00987617i
$204$	4.02188	+	12.5328i	0.281588	+	0.877472i
$205$	3.43333	+	4.09169i	0.239794	+	0.285776i
$206$	−1.67645	−	4.60602i	−0.116804	−	0.320917i
$207$	−2.13621	+	2.18018i	−0.148477	+	0.151533i
$208$			6.33406i			0.439188i
$209$	0.0247187	−	2.27786i	0.00170983	−	0.157563i
$210$	0.0438379	−	1.13692i	0.00302510	−	0.0784551i
$211$	−3.94972	−	10.8518i	−0.271910	−	0.747066i	−0.998217	−	0.0596953i	$-0.980987\pi$
$211$	−3.94972	−	10.8518i	−0.271910	−	0.747066i	0.726307	−	0.687371i	$-0.241235\pi$
$212$	−0.471335	+	2.67307i	−0.0323714	+	0.183587i
$213$	−8.79529	−	3.59075i	−0.602643	−	0.246034i
$214$	0.887581	−	0.323053i	0.0606738	−	0.0220834i
$215$	−1.25887	+	3.45873i	−0.0858545	+	0.235883i
$216$	2.06161	+	4.76967i	0.140275	+	0.324535i
$217$	5.41125	+	3.12419i	0.367340	+	0.212084i
$218$	−1.86728	+	5.13032i	−0.126468	+	0.347469i
$219$	−0.810238	−	5.92114i	−0.0547508	−	0.400113i
$220$	0.111824	+	0.193684i	0.00753914	+	0.0130582i
$221$	−48.1342			−3.23786
$222$	−6.92250	+	16.9562i	−0.464608	+	1.13802i
$223$	1.06139	+	2.91615i	0.0710760	+	0.195280i	0.970144	−	0.242529i	$-0.0779770\pi$
$223$	1.06139	+	2.91615i	0.0710760	+	0.195280i	−0.899068	+	0.437809i	$0.855755\pi$
$224$	0.266548	+	1.51167i	0.0178095	+	0.101003i
$225$	3.59769	−	13.9956i	0.239846	−	0.933038i
$226$	10.7275	+	9.00140i	0.713580	+	0.598764i
$227$	−3.14040	−	5.43933i	−0.208436	−	0.361021i	0.742786	−	0.669529i	$-0.233504\pi$
$227$	−3.14040	−	5.43933i	−0.208436	−	0.361021i	−0.951222	+	0.308507i	$0.900171\pi$
$228$	−4.09312	+	6.34401i	−0.271073	+	0.420142i
$229$	−2.77769	+	4.81110i	−0.183555	+	0.317927i	−0.943089	−	0.332541i	$-0.892094\pi$
$229$	−2.77769	+	4.81110i	−0.183555	+	0.317927i	0.759534	+	0.650468i	$0.225427\pi$
$230$	0.409148	−	0.148918i	0.0269784	−	0.00981934i
$231$	0.933467	−	1.02918i	0.0614176	−	0.0677148i
$232$	−0.109249	+	0.0916708i	−0.00717255	+	0.00601848i
$233$	10.0786	+	1.77713i	0.660270	+	0.116423i	0.493735	−	0.869612i	$-0.335631\pi$
$233$	10.0786	+	1.77713i	0.660270	+	0.116423i	0.166535	+	0.986036i	$0.446742\pi$
$234$	−18.9120	+	1.84891i	−1.23632	+	0.120867i
$235$	1.76938	+	3.06466i	0.115422	+	0.199917i
$236$	0.247287			0.0160970
$237$	−11.1011	−	14.3157i	−0.721095	−	0.929903i
$238$	−11.4876	+	2.02557i	−0.744630	+	0.131298i
$239$	−24.9229	+	14.3893i	−1.61213	+	0.930764i	−0.623256	+	0.782018i	$0.714190\pi$
$239$	−24.9229	+	14.3893i	−1.61213	+	0.930764i	−0.988875	+	0.148746i	$0.952476\pi$
$240$	0.0285591	−	0.740671i	0.00184348	−	0.0478101i
$241$	18.4216	−	3.24823i	1.18664	−	0.209237i	0.454725	−	0.890632i	$-0.349738\pi$
$241$	18.4216	−	3.24823i	1.18664	−	0.209237i	0.731916	+	0.681395i	$0.238626\pi$
$242$	1.86270	−	10.5639i	0.119739	−	0.679074i
$243$	−13.6393	+	7.54775i	−0.874964	+	0.484188i
$244$	−6.38553	+	2.32414i	−0.408792	+	0.148788i
$245$	−1.95710	−	0.345089i	−0.125034	−	0.0220470i
$246$	11.5225	−	18.2916i	0.734647	−	1.16623i
$247$	−17.5165	−	21.3414i	−1.11455	−	1.35792i
$248$	3.52527	+	2.03531i	0.223855	+	0.129243i
$249$	12.8693	−	14.1888i	0.815556	−	0.899177i
$250$	−2.70040	+	3.21821i	−0.170788	+	0.203537i
$251$	8.39026	−	1.47943i	0.529589	−	0.0933808i	0.0975409	−	0.995232i	$-0.468902\pi$
$251$	8.39026	−	1.47943i	0.529589	−	0.0933808i	0.432048	+	0.901851i	$0.357791\pi$
$252$	−4.43569	+	1.23711i	−0.279422	+	0.0779304i
$253$	0.499653	+	0.181859i	0.0314129	+	0.0114334i
$254$	5.06417	+	2.92380i	0.317754	+	0.183456i
$255$	5.62856	+	0.217028i	0.352474	+	0.0135908i
$256$	0.173648	+	0.984808i	0.0108530	+	0.0615505i
$257$	1.83702	+	10.4183i	0.114590	+	0.649874i	0.986952	+	0.161013i	$0.0514762\pi$
$257$	1.83702	+	10.4183i	0.114590	+	0.649874i	−0.872362	+	0.488861i	$0.837413\pi$
$258$	14.8861	+	0.573985i	0.926769	+	0.0357347i
$259$	−14.0565	−	8.11555i	−0.873431	−	0.504275i
$260$	2.54715	+	0.927088i	0.157968	+	0.0574955i
$261$	−0.305597	−	0.299433i	−0.0189160	−	0.0185344i
$262$	13.0050	−	2.29313i	0.803449	−	0.141670i
$263$	−14.9247	+	17.7866i	−0.920297	+	1.09677i	0.0747342	+	0.997203i	$0.476189\pi$
$263$	−14.9247	+	17.7866i	−0.920297	+	1.09677i	−0.995031	+	0.0995637i	$0.968255\pi$
$264$	0.608126	−	0.670478i	0.0374275	−	0.0412650i
$265$	1.00595	+	0.580787i	0.0617951	+	0.0356774i
$266$	−5.07853	−	4.35617i	−0.311385	−	0.267094i
$267$	0.0124529	−	0.0197687i	0.000762107	−	0.00120982i
$268$	−4.98056	−	0.878207i	−0.304236	−	0.0536450i
$269$	−9.54029	+	3.47238i	−0.581682	+	0.211715i	−0.616067	−	0.787694i	$-0.711275\pi$
$269$	−9.54029	+	3.47238i	−0.581682	+	0.211715i	0.0343852	+	0.999409i	$0.489053\pi$
$270$	2.21981	−	0.130931i	0.135093	−	0.00796823i
$271$	−3.55271	+	20.1484i	−0.215812	+	1.22393i	0.663680	+	0.748016i	$0.268993\pi$
$271$	−3.55271	+	20.1484i	−0.215812	+	1.22393i	−0.879492	+	0.475913i	$0.842118\pi$
$272$	−7.48382	+	1.31960i	−0.453773	+	0.0800125i
$273$	0.648850	−	16.8277i	0.0392702	−	1.01846i
$274$	13.6253	−	7.86654i	0.823132	−	0.475235i
$275$	−2.47909	+	0.437130i	−0.149495	+	0.0263599i
$276$	−1.07990	−	1.39260i	−0.0650022	−	0.0838249i
$277$	−5.35426			−0.321706			−0.160853	−	0.986978i	$-0.551425\pi$
$277$	−5.35426			−0.321706			−0.160853	+	0.986978i	$0.551425\pi$
$278$	−6.24244	−	10.8122i	−0.374397	−	0.648474i
$279$	−5.04794	+	11.1197i	−0.302212	+	0.665721i
$280$	0.646911	+	0.114068i	0.0386603	+	0.00681686i
$281$	0.115224	−	0.0966848i	0.00687372	−	0.00576773i	−0.639344	−	0.768921i	$-0.720794\pi$
$281$	0.115224	−	0.0966848i	0.00687372	−	0.00576773i	0.646218	+	0.763153i	$0.276350\pi$
$282$	9.62238	−	10.6090i	0.573004	−	0.631755i
$283$	−12.1786	+	4.43264i	−0.723942	+	0.263493i	−0.677598	−	0.735432i	$-0.736979\pi$
$283$	−12.1786	+	4.43264i	−0.723942	+	0.263493i	−0.0463435	+	0.998926i	$0.514757\pi$
$284$	2.74242	−	4.75001i	0.162733	−	0.281862i
$285$	1.95206	+	2.57453i	0.115630	+	0.152502i
$286$	1.65511	+	2.86674i	0.0978689	+	0.169514i
$287$	14.6764	+	12.3150i	0.866323	+	0.726931i
$288$	−2.88972	+	0.805938i	−0.170278	+	0.0474904i
$289$	−7.07597	−	40.1298i	−0.416234	−	2.36058i
$290$	0.0208738	+	0.0573504i	0.00122575	+	0.00336773i
$291$	−1.52567	+	3.73703i	−0.0894365	+	0.219068i
$292$	3.45043			0.201921
$293$	−10.5212	−	18.2232i	−0.614653	−	1.06461i	−0.990445	−	0.137906i	$-0.955963\pi$
$293$	−10.5212	−	18.2232i	−0.614653	−	1.06461i	0.375792	−	0.926704i	$-0.377371\pi$
$294$	1.09047	+	7.96904i	0.0635975	+	0.464764i
$295$	0.0361943	−	0.0994429i	0.00210731	−	0.00578979i
$296$	−9.15741	−	5.28703i	−0.532264	−	0.307303i
$297$	2.17940	+	1.62001i	0.126462	+	0.0940024i
$298$	−0.898958	+	2.46987i	−0.0520752	+	0.143075i
$299$	6.05584	−	2.20415i	0.350219	−	0.127469i
$300$	7.72414	+	3.15344i	0.445953	+	0.182064i
$301$	−2.29255	+	13.0017i	−0.132140	+	0.749406i
$302$	5.68524	+	15.6201i	0.327149	+	0.898833i
$303$	−0.829630	+	21.5162i	−0.0476610	+	1.23607i
$304$	−3.30851	−	2.83791i	−0.189756	−	0.162766i
$305$			2.90803i			0.166513i
$306$	−6.12454	−	21.9597i	−0.350117	−	1.25535i
$307$	−7.57719	−	20.8182i	−0.432453	−	1.18816i	−0.944302	−	0.329080i	$-0.893261\pi$
$307$	−7.57719	−	20.8182i	−0.432453	−	1.18816i	0.511849	−	0.859076i	$-0.328961\pi$
$308$	0.515643	+	0.614519i	0.0293815	+	0.0350155i
$309$	2.59416	+	8.08382i	0.147577	+	0.459872i
$310$	1.33445	−	1.11974i	0.0757917	−	0.0635968i
$311$		−	18.9765i		−	1.07606i	−0.842926	−	0.538029i	$-0.819169\pi$
$311$		−	18.9765i		−	1.07606i	0.842926	−	0.538029i	$-0.180831\pi$
$312$	0.422706	−	10.9628i	0.0239310	−	0.620644i
$313$	10.0350	+	3.65245i	0.567212	+	0.206448i	0.609678	−	0.792650i	$-0.291299\pi$
$313$	10.0350	+	3.65245i	0.567212	+	0.206448i	−0.0424652	+	0.999098i	$0.513521\pi$
$314$	−10.3895	+	8.71782i	−0.586313	+	0.491975i
$315$	−0.151746	+	1.96482i	−0.00854993	+	0.110705i
$316$	9.05778	−	5.22951i	0.509540	−	0.294183i
$317$	−1.26818	−	7.19222i	−0.0712282	−	0.403955i	−0.999487	−	0.0320208i	$-0.989806\pi$
$317$	−1.26818	−	7.19222i	−0.0712282	−	0.403955i	0.928259	−	0.371935i	$-0.121305\pi$
$318$	0.994158	−	4.59500i	0.0557496	−	0.257675i
$319$	−0.0254912	+	0.0700366i	−0.00142724	+	0.00392130i
$320$	0.421443	+	0.0743118i	0.0235594	+	0.00415415i
$321$	−1.55775	+	0.499895i	−0.0869453	+	0.0279014i
$322$	1.35252	−	0.780877i	0.0753729	−	0.0435166i
$323$	21.5661	−	25.1423i	1.19997	−	1.39895i
$324$	−3.24985	−	8.39276i	−0.180547	−	0.466265i
$325$	−19.6116	+	23.3722i	−1.08786	+	1.29646i
$326$	−11.0070	−	9.23597i	−0.609621	−	0.511533i
$327$	3.57420	−	8.75476i	0.197654	−	0.484139i
$328$	9.56126	+	8.02285i	0.527932	+	0.442988i
$329$	8.15902	+	9.72354i	0.449821	+	0.536076i
$330$	−0.180615	−	0.342684i	−0.00994251	−	0.0188641i
$331$			12.8263i			0.704995i	0.935813	+	0.352497i	$0.114667\pi$
$331$			12.8263i			0.704995i	−0.935813	+	0.352497i	$0.885333\pi$
$332$	7.10892	+	8.47209i	0.390153	+	0.464966i
$333$	13.1128	−	28.8852i	0.718577	−	1.58290i
$334$	9.98039	−	17.2865i	0.546103	−	0.945878i
$335$	−1.08214	+	1.87432i	−0.0591237	+	0.102405i
$336$	−0.360450	−	2.63413i	−0.0196642	−	0.143704i
$337$	3.01797	−	3.59667i	0.164399	−	0.195923i	−0.677555	−	0.735472i	$-0.736961\pi$
$337$	3.01797	−	3.59667i	0.164399	−	0.195923i	0.841955	+	0.539548i	$0.181405\pi$
$338$	25.4847	+	9.27568i	1.38619	+	0.504530i
$339$	−17.9660	−	16.2952i	−0.975778	−	0.885035i
$340$	−0.564715	+	3.20266i	−0.0306260	+	0.173689i
$341$	2.12734			0.115202
$342$	7.50759	−	10.7068i	0.405964	−	0.578959i
$343$	−17.8731			−0.965058
$344$	−1.49353	+	8.47022i	−0.0805257	+	0.456684i
$345$	−0.718077	+	0.230437i	−0.0386599	+	0.0124063i
$346$	0.630193	+	0.229372i	0.0338794	+	0.0123311i
$347$	13.1043	−	15.6171i	0.703478	−	0.838372i	−0.289437	−	0.957197i	$-0.593468\pi$
$347$	13.1043	−	15.6171i	0.703478	−	0.838372i	0.992915	+	0.118825i	$0.0379127\pi$
$348$	0.195202	−	0.151370i	0.0104639	−	0.00811427i
$349$	7.56138	−	13.0967i	0.404751	−	0.701050i	−0.589541	−	0.807738i	$-0.700691\pi$
$349$	7.56138	−	13.0967i	0.404751	−	0.701050i	0.994292	+	0.106689i	$0.0340248\pi$
$350$	−3.69692	+	6.40325i	−0.197609	+	0.342268i
$351$	32.8556	−	1.93793i	1.75370	−	0.103439i
$352$	0.335926	+	0.400341i	0.0179049	+	0.0213382i
$353$			8.51211i			0.453054i	0.974005	+	0.226527i	$0.0727372\pi$
$353$			8.51211i			0.453054i	−0.974005	+	0.226527i	$0.927263\pi$
$354$	−0.427995	−	0.0165028i	−0.0227477	−	0.000877114i
$355$	−1.50876	−	1.79807i	−0.0800765	−	0.0954314i
$356$	0.0103333	+	0.00867070i	0.000547666	+	0.000459546i
$357$	20.0175	−	2.73916i	1.05944	−	0.144972i
$358$	10.4721	+	8.78710i	0.553466	+	0.464413i
$359$	10.8534	−	12.9345i	0.572819	−	0.682659i	−0.399388	−	0.916782i	$-0.630777\pi$
$359$	10.8534	−	12.9345i	0.572819	−	0.682659i	0.972207	+	0.234123i	$0.0752217\pi$
$360$	−0.0988581	+	1.28002i	−0.00521028	+	0.0674630i
$361$	18.9955	+	0.412316i	0.999765	+	0.0217008i
$362$	−1.97890	+	1.14252i	−0.104009	+	0.0600495i
$363$	−3.92889	+	18.1593i	−0.206213	+	0.953118i
$364$	9.57500	+	1.68833i	0.501866	+	0.0884926i
$365$	0.505024	−	1.38754i	0.0264341	−	0.0726272i
$366$	11.2069	−	3.59640i	0.585797	−	0.187987i
$367$	−3.67278	−	20.8294i	−0.191718	−	1.08729i	−0.917016	−	0.398850i	$-0.869409\pi$
$367$	−3.67278	−	20.8294i	−0.191718	−	1.08729i	0.725298	−	0.688435i	$-0.241702\pi$
$368$	0.881125	−	0.508718i	0.0459318	−	0.0265188i
$369$	−21.1634	+	30.8896i	−1.10172	+	1.60805i
$370$	−3.46644	+	2.90869i	−0.180212	+	0.151215i
$371$	3.91517	+	1.42501i	0.203265	+	0.0739826i
$372$	−5.96558	−	3.75791i	−0.309301	−	0.194839i
$373$		−	15.4355i		−	0.799222i	−0.916685	−	0.399611i	$-0.869145\pi$
$373$		−	15.4355i		−	0.799222i	0.916685	−	0.399611i	$-0.130855\pi$
$374$	−3.04230	+	2.55279i	−0.157313	+	0.132002i
$375$	4.88852	−	5.38975i	0.252442	−	0.278325i
$376$	5.31536	+	6.33460i	0.274119	+	0.326682i
$377$	0.308956	+	0.848850i	0.0159121	+	0.0437180i
$378$	7.75969	−	1.84512i	0.399115	−	0.0949029i
$379$			0.376836i			0.0193568i	0.999953	+	0.00967840i	$0.00308078\pi$
$379$			0.376836i			0.0193568i	−0.999953	+	0.00967840i	$0.996919\pi$
$380$	−1.62548	+	0.915099i	−0.0833854	+	0.0469436i
$381$	−8.56977	−	5.39837i	−0.439043	−	0.276567i
$382$	−0.776555	−	2.13357i	−0.0397320	−	0.109163i
$383$	0.264973	−	1.50274i	0.0135395	−	0.0767863i	−0.977289	−	0.211909i	$-0.932032\pi$
$383$	0.264973	−	1.50274i	0.0135395	−	0.0767863i	0.990829	+	0.135123i	$0.0431430\pi$
$384$	−0.234822	−	1.71606i	−0.0119832	−	0.0875723i
$385$	0.322593	−	0.117414i	0.0164409	−	0.00598398i
$386$	7.00569	−	19.2480i	0.356580	−	0.979696i
$387$	−25.7261	−	1.98686i	−1.30773	−	0.100998i
$388$	−2.01823	−	1.16523i	−0.102460	−	0.0591554i
$389$	−2.16301	+	5.94281i	−0.109669	+	0.301312i	−0.982371	−	0.186940i	$-0.940143\pi$
$389$	−2.16301	+	5.94281i	−0.109669	+	0.301312i	0.872703	+	0.488252i	$0.162365\pi$
$390$	−4.34665	−	1.77456i	−0.220101	−	0.0898582i
$391$	3.86588	+	6.69591i	0.195506	+	0.338627i
$392$	−4.64381			−0.234548
$393$	−22.6616	+	3.10097i	−1.14312	+	0.156423i
$394$	−2.95441	−	8.11717i	−0.148841	−	0.408937i
$395$	−0.777228	−	4.40788i	−0.0391066	−	0.221784i
$396$	−1.09727	+	1.11986i	−0.0551397	+	0.0562749i
$397$	−2.93735	−	2.46473i	−0.147421	−	0.123701i	0.566094	−	0.824340i	$-0.308454\pi$
$397$	−2.93735	−	2.46473i	−0.147421	−	0.123701i	−0.713516	+	0.700639i	$0.752898\pi$
$398$	−11.8870	−	20.5888i	−0.595840	−	1.03202i
$399$	8.49903	+	7.87842i	0.425484	+	0.394414i
$400$	−2.40843	+	4.17153i	−0.120422	+	0.208576i
$401$	−11.9790	+	4.36002i	−0.598205	+	0.217729i	−0.623334	−	0.781955i	$-0.714222\pi$
$401$	−11.9790	+	4.36002i	−0.598205	+	0.217729i	0.0251293	+	0.999684i	$0.492000\pi$
$402$	8.56156	+	1.85235i	0.427012	+	0.0923868i
$403$	19.7514	−	16.5734i	0.983886	−	0.825578i
$404$	−12.2428	−	2.15873i	−0.609100	−	0.107401i
$405$	−3.85070	+	0.0784716i	−0.191343	+	0.00389928i
$406$	0.109456	+	0.189583i	0.00543220	+	0.00940885i
$407$	−5.52609			−0.273918
$408$	13.0408	−	1.78448i	0.645615	−	0.0883449i
$409$	−13.9904	+	2.46688i	−0.691780	+	0.121980i	−0.508475	−	0.861077i	$-0.669791\pi$
$409$	−13.9904	+	2.46688i	−0.691780	+	0.121980i	−0.183305	+	0.983056i	$0.558680\pi$
$410$	4.62572	−	2.67066i	0.228448	−	0.131894i
$411$	−24.1071	+	12.7058i	−1.18911	+	0.626733i
$412$	−4.82716	+	0.851158i	−0.237817	+	0.0419336i
$413$	0.0659138	−	0.373816i	0.00324341	−	0.0183943i
$414$	1.77611	+	2.48234i	0.0872912	+	0.122000i
$415$	4.44743	−	1.61873i	0.218316	−	0.0794605i
$416$	6.23783	+	1.09990i	0.305835	+	0.0539269i
$417$	10.0826	+	19.1300i	0.493749	+	0.936801i
$418$	−2.23896	−	0.419890i	−0.109511	−	0.0205375i
$419$	30.9365	+	17.8612i	1.51135	+	0.872576i	0.999912	+	0.0132529i	$0.00421865\pi$
$419$	30.9365	+	17.8612i	1.51135	+	0.872576i	0.511433	+	0.859323i	$0.329115\pi$
$420$	−1.11204	−	0.240596i	−0.0542619	−	0.0117399i
$421$	−7.75956	+	9.24749i	−0.378178	+	0.450695i	−0.921238	−	0.388999i	$-0.872821\pi$
$421$	−7.75956	+	9.24749i	−0.378178	+	0.450695i	0.543060	+	0.839694i	$0.317266\pi$
$422$	−11.3728	+	2.00532i	−0.553617	+	0.0976176i
$423$	−17.3621	+	17.7195i	−0.844172	+	0.861551i
$424$	2.55062	+	0.928348i	0.123869	+	0.0450846i
$425$	−31.7005	−	18.3023i	−1.53770	−	0.887793i
$426$	−5.06348	+	8.03814i	−0.245327	+	0.389449i
$427$	1.81128	+	10.2723i	0.0876542	+	0.497112i
$428$	−0.164018	−	0.930194i	−0.00792812	−	0.0449626i
$429$	−2.67330	−	5.07211i	−0.129068	−	0.244884i
$430$	3.18758	+	1.84035i	0.153719	+	0.0887496i
$431$	−12.1274	−	4.41400i	−0.584155	−	0.212615i	0.0330020	−	0.999455i	$-0.489493\pi$
$431$	−12.1274	−	4.41400i	−0.584155	−	0.212615i	−0.617156	+	0.786840i	$0.711715\pi$
$432$	5.05520	−	1.20204i	0.243219	−	0.0578333i
$433$	−21.5911	+	3.80709i	−1.03760	+	0.182957i	−0.666399	−	0.745596i	$-0.732165\pi$
$433$	−21.5911	+	3.80709i	−1.03760	+	0.182957i	−0.371201	+	0.928552i	$0.621054\pi$
$434$	4.01638	−	4.78653i	0.192792	−	0.229761i
$435$	−0.0323004	−	0.100653i	−0.00154869	−	0.00482595i
$436$	4.72812	+	2.72978i	0.226436	+	0.130733i
$437$	−1.56196	+	4.15074i	−0.0747185	+	0.198557i
$438$	−5.97188	−	0.230266i	−0.285347	−	0.0110025i
$439$	−11.5056	−	2.02875i	−0.549134	−	0.0968272i	−0.107804	−	0.994172i	$-0.534382\pi$
$439$	−11.5056	−	2.02875i	−0.549134	−	0.0968272i	−0.441330	+	0.897345i	$0.645493\pi$
$440$	0.210160	−	0.0764918i	0.0100190	−	0.00364660i
$441$	−1.35553	−	13.8653i	−0.0645490	−	0.660253i
$442$	−8.35841	+	47.4029i	−0.397569	+	2.25473i
$443$	36.0301	−	6.35308i	1.71184	−	0.301844i	0.770036	−	0.638000i	$-0.220238\pi$
$443$	36.0301	−	6.35308i	1.71184	−	0.301844i	0.941806	+	0.336156i	$0.109127\pi$
$444$	15.4965	+	9.76174i	0.735431	+	0.463272i
$445$	0.00499924	−	0.00288632i	0.000236987	−	0.000136824i
$446$	3.05615	−	0.538882i	0.144713	−	0.0255168i
$447$	1.72071	−	4.21476i	0.0813869	−	0.199351i
$448$	1.53499			0.0725215
$449$	6.78639	+	11.7544i	0.320269	+	0.554723i	0.980544	−	0.196302i	$-0.0628932\pi$
$449$	6.78639	+	11.7544i	0.320269	+	0.554723i	−0.660274	+	0.751025i	$0.729560\pi$
$450$	−13.1582	−	5.97334i	−0.620284	−	0.281586i
$451$	6.42375	+	1.13268i	0.302483	+	0.0533358i
$452$	10.7275	−	9.00140i	0.504577	−	0.423390i
$453$	−8.79739	−	27.4141i	−0.413338	−	1.28802i
$454$	−5.90202	+	2.14816i	−0.276996	+	0.100818i
$455$	2.08039	−	3.60334i	0.0975302	−	0.168927i
$456$	5.53686	+	5.13256i	0.259287	+	0.240354i
$457$	−4.47998	−	7.75955i	−0.209565	−	0.362976i	0.742013	−	0.670386i	$-0.233871\pi$
$457$	−4.47998	−	7.75955i	−0.209565	−	0.362976i	−0.951577	+	0.307409i	$0.900538\pi$
$458$	4.25567	+	3.57093i	0.198854	+	0.166859i
$459$	9.13465	+	38.4159i	0.426369	+	1.79310i
$460$	−0.0756074	−	0.428791i	−0.00352522	−	0.0199925i
$461$	2.02125	+	5.55335i	0.0941392	+	0.258645i	0.977821	−	0.209443i	$-0.0671651\pi$
$461$	2.02125	+	5.55335i	0.0941392	+	0.258645i	−0.883682	+	0.468088i	$0.844943\pi$
$462$	−0.851446	−	1.09800i	−0.0396129	−	0.0510836i
$463$	25.0680			1.16501			0.582504	−	0.812828i	$-0.302073\pi$
$463$	25.0680			1.16501			0.582504	+	0.812828i	$0.302073\pi$
$464$	0.0713072	+	0.123508i	0.00331035	+	0.00573370i
$465$	−2.38435	+	1.84895i	−0.110571	+	0.0857429i
$466$	3.50026	−	9.61688i	0.162146	−	0.445493i
$467$	21.5555	+	12.4451i	0.997471	+	0.575890i	0.907499	−	0.420054i	$-0.137989\pi$
$467$	21.5555	+	12.4451i	0.997471	+	0.575890i	0.0899722	+	0.995944i	$0.471322\pi$
$468$	−1.46321	+	18.9457i	−0.0676369	+	0.875768i
$469$	−2.65512	+	7.29487i	−0.122602	+	0.336846i
$470$	3.32536	−	1.21033i	0.153387	−	0.0558284i
$471$	18.5636	−	14.3951i	0.855364	−	0.663293i
$472$	0.0429409	−	0.243530i	0.00197651	−	0.0112094i
$473$	1.53734	+	4.22382i	0.0706871	+	0.194211i
$474$	−16.0259	+	8.44657i	−0.736093	+	0.387964i
$475$	−3.42137	−	20.7156i	−0.156983	−	0.950496i
$476$			11.6648i			0.534655i
$477$	−2.02730	+	7.88653i	−0.0928239	+	0.361099i
$478$	9.84284	+	27.0430i	0.450201	+	1.23692i
$479$	−17.6299	−	21.0104i	−0.805529	−	0.959992i	0.194252	−	0.980952i	$-0.437772\pi$
$479$	−17.6299	−	21.0104i	−0.805529	−	0.959992i	−0.999780	+	0.0209602i	$0.993328\pi$
$480$	−0.724459	−	0.156741i	−0.0330669	−	0.00715423i
$481$	−51.3072	+	43.0518i	−2.33941	+	1.96299i
$482$		−	18.7058i		−	0.852026i
$483$	−2.39300	+	1.26125i	−0.108885	+	0.0573890i
$484$	−10.0800	−	3.66881i	−0.458180	−	0.166764i
$485$	−0.763980	+	0.641055i	−0.0346905	+	0.0291088i
$486$	5.06463	+	14.7428i	0.229736	+	0.668746i
$487$	−13.8894	+	8.01906i	−0.629390	+	0.363378i	−0.780516	−	0.625136i	$-0.785043\pi$
$487$	−13.8894	+	8.01906i	−0.629390	+	0.363378i	0.151126	+	0.988515i	$0.451710\pi$
$488$	1.18000	+	6.69210i	0.0534160	+	0.302937i
$489$	18.4342	+	16.7198i	0.833622	+	0.756098i
$490$	−0.679693	+	1.86744i	−0.0307054	+	0.0843624i
$491$	37.4179	+	6.59778i	1.68865	+	0.297754i	0.933706	−	0.358040i	$-0.116555\pi$
$491$	37.4179	+	6.59778i	1.68865	+	0.297754i	0.754940	+	0.655794i	$0.227666\pi$
$492$	−16.0129	−	14.5237i	−0.721917	−	0.654781i
$493$	−0.938568	+	0.541883i	−0.0422710	+	0.0244052i
$494$	−24.0589	+	13.5445i	−1.08246	+	0.609395i
$495$	0.289732	+	0.605159i	0.0130225	+	0.0271999i
$496$	2.61655	−	3.11828i	0.117487	−	0.140015i
$497$	−6.44947	−	5.41175i	−0.289298	−	0.242750i
$498$	−11.7385	−	15.1376i	−0.526014	−	0.678332i
$499$	−2.16848	−	1.81957i	−0.0970744	−	0.0814551i	0.592959	−	0.805233i	$-0.297960\pi$
$499$	−2.16848	−	1.81957i	−0.0970744	−	0.0814551i	−0.690033	+	0.723778i	$0.742404\pi$
$500$	2.70040	+	3.21821i	0.120765	+	0.143923i
$501$	−18.4273	+	29.2529i	−0.823273	+	1.30692i
$502$		−	8.51970i		−	0.380253i
$503$	−5.80277	−	6.91548i	−0.258733	−	0.308346i	0.621003	−	0.783808i	$-0.286725\pi$
$503$	−5.80277	−	6.91548i	−0.258733	−	0.308346i	−0.879736	+	0.475462i	$0.842281\pi$
$504$	0.448064	+	4.58312i	0.0199584	+	0.204148i
$505$	−2.66002	+	4.60729i	−0.118369	+	0.205022i
$506$	0.265860	−	0.460483i	0.0118189	−	0.0204710i
$507$	−43.4890	−	17.7547i	−1.93142	−	0.788516i
$508$	3.75877	−	4.47952i	0.166768	−	0.198747i
$509$	−30.0380	−	10.9329i	−1.33141	−	0.484594i	−0.424315	−	0.905515i	$-0.639485\pi$
$509$	−30.0380	−	10.9329i	−1.33141	−	0.484594i	−0.907098	+	0.420920i	$0.861707\pi$
$510$	1.19112	−	5.50536i	0.0527437	−	0.243781i
$511$	0.919705	−	5.21591i	0.0406854	−	0.230738i
$512$	1.00000			0.0441942
$513$	−13.7084	+	18.0300i	−0.605241	+	0.796043i
$514$	10.5790			0.466619
$515$	−0.364248	+	2.06576i	−0.0160507	+	0.0910281i
$516$	3.15021	−	14.5603i	0.138680	−	0.640981i
$517$	4.06094	+	1.47806i	0.178600	+	0.0650051i
$518$	−10.4331	+	12.4337i	−0.458406	+	0.546307i
$519$	−1.07541	−	0.439044i	−0.0472052	−	0.0192719i
$520$	1.35531	−	2.34747i	0.0594344	−	0.102943i
$521$	4.20259	−	7.27910i	0.184119	−	0.318903i	−0.759160	−	0.650904i	$-0.774390\pi$
$521$	4.20259	−	7.27910i	0.184119	−	0.318903i	0.943279	+	0.332000i	$0.107724\pi$
$522$	−0.347950	+	0.248958i	−0.0152294	+	0.0108966i
$523$	9.19770	+	10.9614i	0.402188	+	0.479308i	0.928686	−	0.370868i	$-0.120940\pi$
$523$	9.19770	+	10.9614i	0.402188	+	0.479308i	−0.526498	+	0.850176i	$0.676495\pi$
$524$		−	13.2056i		−	0.576889i
$525$	6.82582	−	10.8358i	0.297903	−	0.472913i
$526$	14.9247	+	17.7866i	0.650748	+	0.775532i
$527$	23.6967	+	19.8839i	1.03224	+	0.866155i
$528$	−0.554692	−	0.715314i	−0.0241399	−	0.0311300i
$529$	16.8260	+	14.1187i	0.731567	+	0.613857i
$530$	0.746645	−	0.889817i	0.0324322	−	0.0386512i
$531$	0.739657	+	0.0571249i	0.0320984	+	0.00247901i
$532$	−5.17187	+	4.24494i	−0.224229	+	0.184041i
$533$	68.4658	−	39.5288i	2.96558	−	1.71218i
$534$	−0.0173059	−	0.0156965i	−0.000748901	−	0.000679255i
$535$	−0.398071	−	0.0701907i	−0.0172101	−	0.00303461i
$536$	−1.72973	+	4.75239i	−0.0747129	+	0.205272i
$537$	−17.5383	−	15.9073i	−0.756832	−	0.686449i
$538$	1.76297	+	9.99832i	0.0760072	+	0.431058i
$539$	−2.10175	+	1.21344i	−0.0905287	+	0.0522668i
$540$	0.256523	−	2.20882i	0.0110390	−	0.0950524i
$541$	19.8595	−	16.6641i	0.853828	−	0.716447i	−0.106801	−	0.994280i	$-0.534061\pi$
$541$	19.8595	−	16.6641i	0.853828	−	0.716447i	0.960629	+	0.277834i	$0.0896164\pi$
$542$	19.2254	+	6.99747i	0.825802	+	0.300567i
$543$	3.50126	−	1.84537i	0.150253	−	0.0791923i
$544$			7.59927i			0.325816i
$545$	1.78978	−	1.50180i	0.0766657	−	0.0643302i
$546$	−16.4594	−	3.56110i	−0.704397	−	0.152401i
$547$	1.76122	+	2.09894i	0.0753045	+	0.0897444i	0.802381	−	0.596812i	$-0.203566\pi$
$547$	1.76122	+	2.09894i	0.0753045	+	0.0897444i	−0.727077	+	0.686556i	$0.759122\pi$
$548$	−5.38103	−	14.7843i	−0.229866	−	0.631553i
$549$	−19.6366	+	5.47662i	−0.838070	+	0.233737i
$550$			2.51733i			0.107339i
$551$	−0.581811	−	0.218940i	−0.0247860	−	0.00932716i
$552$	−1.55897	+	0.821669i	−0.0663542	+	0.0349725i
$553$	−5.49096	−	15.0863i	−0.233499	−	0.641534i
$554$	−0.929758	+	5.27292i	−0.0395016	+	0.224025i
$555$	6.19370	−	4.80292i	0.262908	−	0.203873i
$556$	−11.7320	+	4.27008i	−0.497546	+	0.181092i
$557$	−8.99993	+	24.7271i	−0.381339	+	1.04772i	0.589453	+	0.807802i	$0.299343\pi$
$557$	−8.99993	+	24.7271i	−0.381339	+	1.04772i	−0.970793	+	0.239919i	$0.922879\pi$
$558$	10.0742	+	6.90217i	0.426476	+	0.292192i
$559$	47.1798	+	27.2392i	1.99549	+	1.15210i
$560$	0.224670	−	0.617275i	0.00949403	−	0.0260846i
$561$	5.43586	−	4.21525i	0.229502	−	0.177968i
$562$	−0.0752074	−	0.130263i	−0.00317243	−	0.00549482i
$563$	−23.2334			−0.979173			−0.489586	−	0.871955i	$-0.662852\pi$
$563$	−23.2334			−0.979173			−0.489586	+	0.871955i	$0.662852\pi$
$564$	−8.77689	−	11.3184i	−0.369574	−	0.476591i
$565$	−2.04966	−	5.63139i	−0.0862298	−	0.236915i
$566$	2.25051	+	12.7633i	0.0945960	+	0.536481i
$567$	−13.5533	+	2.67563i	−0.569186	+	0.112366i
$568$	−4.20163	−	3.52559i	−0.176297	−	0.147930i
$569$	−2.06023	−	3.56842i	−0.0863693	−	0.149596i	0.819605	−	0.572930i	$-0.194193\pi$
$569$	−2.06023	−	3.56842i	−0.0863693	−	0.149596i	−0.905974	+	0.423334i	$0.860860\pi$
$570$	2.87439	−	1.47534i	0.120395	−	0.0617953i
$571$	−4.43455	+	7.68087i	−0.185580	+	0.321434i	−0.943772	−	0.330597i	$-0.892750\pi$
$571$	−4.43455	+	7.68087i	−0.185580	+	0.321434i	0.758192	+	0.652032i	$0.226083\pi$
$572$	3.11060	−	1.13216i	0.130061	−	0.0473382i
$573$	1.20165	+	3.74452i	0.0501996	+	0.156430i
$574$	14.6764	−	12.3150i	0.612583	−	0.514018i
$575$	4.82639	+	0.851024i	0.201275	+	0.0354901i
$576$	0.291900	+	2.98577i	0.0121625	+	0.124407i
$577$	9.13117	+	15.8157i	0.380136	+	0.658414i	0.991081	−	0.133258i	$-0.0425440\pi$
$577$	9.13117	+	15.8157i	0.380136	+	0.658414i	−0.610946	+	0.791673i	$0.709211\pi$
$578$	−40.7489			−1.69493
$579$	−13.4097	+	32.8462i	−0.557289	+	1.36504i
$580$	0.0601038	−	0.0105979i	0.00249568	−	0.000440055i
$581$	14.7019	−	8.48813i	0.609936	−	0.352147i
$582$	3.41532	+	2.15142i	0.141570	+	0.0891793i
$583$	1.39697	−	0.246323i	0.0578565	−	0.0102017i
$584$	0.599160	−	3.39801i	0.0247934	−	0.140611i
$585$	7.40461	+	3.36142i	0.306143	+	0.138977i
$586$	−19.7733	+	7.19690i	−0.816828	+	0.297301i
$587$	24.3485	+	4.29329i	1.00497	+	0.177203i	0.651828	−	0.758367i	$-0.274003\pi$
$587$	24.3485	+	4.29329i	1.00497	+	0.177203i	0.353141	+	0.935570i	$0.385114\pi$
$588$	8.03733	+	0.309907i	0.331454	+	0.0127803i
$589$	−0.192535	+	17.7424i	−0.00793328	+	0.731063i
$590$	−0.0916471	−	0.0529125i	−0.00377305	−	0.00217837i
$591$	4.57168	+	14.2461i	0.188054	+	0.586005i
$592$	−6.79688	+	8.10021i	−0.279350	+	0.332916i
$593$	28.1514	−	4.96385i	1.15604	−	0.203841i	0.437428	−	0.899254i	$-0.355890\pi$
$593$	28.1514	−	4.96385i	1.15604	−	0.203841i	0.718611	+	0.695413i	$0.244778\pi$
$594$	1.97385	−	1.86498i	0.0809878	−	0.0765210i
$595$	4.69084	+	1.70733i	0.192306	+	0.0699935i
$596$	2.27624	+	1.31419i	0.0932384	+	0.0538312i
$597$	19.1995	+	36.4277i	0.785784	+	1.49089i
$598$	−1.11907	−	6.34659i	−0.0457624	−	0.259531i
$599$	−6.46830	−	36.6836i	−0.264288	−	1.49885i	−0.771056	−	0.636768i	$-0.780271\pi$
$599$	−6.46830	−	36.6836i	−0.264288	−	1.49885i	0.506768	−	0.862083i	$-0.330840\pi$
$600$	4.44682	−	7.05920i	0.181541	−	0.288191i
$601$	10.9338	+	6.31260i	0.445997	+	0.257497i	0.706138	−	0.708074i	$-0.250436\pi$
$601$	10.9338	+	6.31260i	0.445997	+	0.257497i	−0.260141	+	0.965571i	$0.583769\pi$
$602$	12.4061	+	4.51544i	0.505634	+	0.184036i
$603$	−14.6944	−	3.77734i	−0.598404	−	0.153825i
$604$	16.3700	−	2.88647i	0.666085	−	0.117449i
$605$	−2.95072	+	3.51653i	−0.119964	+	0.142967i
$606$	21.0453	+	4.55328i	0.854905	+	0.184964i
$607$	29.0436	+	16.7683i	1.17884	+	0.680605i	0.955746	−	0.294192i	$-0.0950504\pi$
$607$	29.0436	+	16.7683i	1.17884	+	0.680605i	0.223096	+	0.974797i	$0.428384\pi$
$608$	−3.36932	+	2.76545i	−0.136644	+	0.112154i
$609$	−0.176790	−	0.335428i	−0.00716391	−	0.0135922i
$610$	2.86385	+	0.504973i	0.115954	+	0.0204458i
$611$	49.2190	−	17.9142i	1.99119	−	0.724733i
$612$	−22.6896	+	2.21823i	−0.917174	+	0.0896666i
$613$	4.34207	−	24.6251i	0.175374	−	0.994598i	−0.762336	−	0.647181i	$-0.775948\pi$
$613$	4.34207	−	24.6251i	0.175374	−	0.994598i	0.937711	−	0.347417i	$-0.112941\pi$
$614$	−21.8177	+	3.84704i	−0.880489	+	0.155254i
$615$	−8.18426	+	4.31358i	−0.330021	+	0.173940i
$616$	0.694724	−	0.401099i	0.0279912	−	0.0161607i
$617$	32.0584	−	5.65277i	1.29062	−	0.227572i	0.514139	−	0.857707i	$-0.328112\pi$
$617$	32.0584	−	5.65277i	1.29062	−	0.227572i	0.776485	+	0.630135i	$0.217001\pi$
$618$	8.41148	−	1.15101i	0.338359	−	0.0463005i
$619$	−44.2694			−1.77934			−0.889668	−	0.456608i	$-0.849064\pi$
$619$	−44.2694			−1.77934			−0.889668	+	0.456608i	$0.849064\pi$
$620$	−0.871001	−	1.50862i	−0.0349802	−	0.0605876i
$621$	−2.90837	−	4.41487i	−0.116709	−	0.177163i
$622$	−18.6882	−	3.29523i	−0.749328	−	0.132127i
$623$	0.0158616	−	0.0133094i	0.000635480	−	0.000533231i
$624$	−10.7228	−	2.31995i	−0.429256	−	0.0928722i
$625$	−20.9425	+	7.62243i	−0.837698	+	0.304897i
$626$	5.33952	−	9.24832i	0.213410	−	0.369637i
$627$	3.84710	+	0.876148i	0.153638	+	0.0349900i
$628$	6.78126	+	11.7455i	0.270602	+	0.468696i
$629$	−61.5557	−	51.6513i	−2.45438	−	2.05947i
$630$	1.90862	+	0.490628i	0.0760412	+	0.0195471i
$631$	0.124569	+	0.706465i	0.00495901	+	0.0281239i	0.987187	−	0.159569i	$-0.0510103\pi$
$631$	0.124569	+	0.706465i	0.00495901	+	0.0281239i	−0.982228	+	0.187692i	$0.939899\pi$
$632$	−3.57719	−	9.82826i	−0.142293	−	0.390947i
$633$	19.8174	−	2.71178i	0.787671	−	0.107783i
$634$	−7.30317			−0.290046
$635$	−1.25122	−	2.16718i	−0.0496533	−	0.0860021i
$636$	−4.35256	−	1.77697i	−0.172590	−	0.0704614i
$637$	−10.0602	+	27.6402i	−0.398601	+	1.09515i
$638$	0.0645461	+	0.0372657i	0.00255540	+	0.00147536i
$639$	9.30013	−	13.5742i	0.367907	−	0.536988i
$640$	0.146366	−	0.402136i	0.00578561	−	0.0158958i
$641$	9.79702	−	3.56582i	0.386959	−	0.140842i	−0.141212	−	0.989979i	$-0.545100\pi$
$641$	9.79702	−	3.56582i	0.386959	−	0.140842i	0.528171	+	0.849138i	$0.322878\pi$
$642$	0.221800	+	1.62089i	0.00875375	+	0.0639715i
$643$	1.66992	−	9.47061i	0.0658554	−	0.373484i	−0.934013	−	0.357240i	$-0.883718\pi$
$643$	1.66992	−	9.47061i	0.0658554	−	0.373484i	0.999868	−	0.0162445i	$-0.00517101\pi$
$644$	−0.534151	−	1.46757i	−0.0210485	−	0.0578303i
$645$	−5.39414	−	3.39794i	−0.212394	−	0.133794i
$646$	−21.0154	−	25.6043i	−0.826839	−	1.00739i
$647$			24.4483i			0.961164i	0.876950	+	0.480582i	$0.159574\pi$
$647$			24.4483i			0.961164i	−0.876950	+	0.480582i	$0.840426\pi$
$648$	−8.82959	+	1.74309i	−0.346859	+	0.0684751i
$649$	−0.0442006	−	0.121440i	−0.00173503	−	0.00476695i
$650$	19.6116	+	23.3722i	0.769231	+	0.916734i
$651$	−7.27083	+	8.01632i	−0.284966	+	0.314185i
$652$	−11.0070	+	9.23597i	−0.431067	+	0.361708i
$653$		−	31.6573i		−	1.23884i	−0.785058	−	0.619422i	$-0.787367\pi$
$653$		−	31.6573i		−	1.23884i	0.785058	−	0.619422i	$-0.212633\pi$
$654$	−8.00110	−	5.04015i	−0.312868	−	0.197085i
$655$	−5.31044	−	1.93284i	−0.207496	−	0.0755224i
$656$	9.56126	−	8.02285i	0.373305	−	0.313240i
$657$	10.3205	+	0.797072i	0.402643	+	0.0310968i
$658$	10.9926	−	6.34659i	0.428537	−	0.247416i
$659$	−5.45341	−	30.9278i	−0.212435	−	1.20478i	−0.885303	−	0.465015i	$-0.846049\pi$
$659$	−5.45341	−	30.9278i	−0.212435	−	1.20478i	0.672868	−	0.739763i	$-0.265062\pi$
$660$	−0.368841	+	0.118364i	−0.0143571	+	0.00460732i
$661$	−8.39259	+	23.0585i	−0.326434	+	0.896870i	0.662572	+	0.748998i	$0.269465\pi$
$661$	−8.39259	+	23.0585i	−0.326434	+	0.896870i	−0.989006	+	0.147872i	$0.952758\pi$
$662$	12.6314	+	2.22726i	0.490933	+	0.0865647i
$663$	17.6299	−	81.4855i	0.684689	−	3.16463i
$664$	9.57783	−	5.52976i	0.371692	−	0.214596i
$665$	0.950059	+	2.70111i	0.0368417	+	0.104744i
$666$	−26.1693	−	17.9294i	−1.01404	−	0.694752i
$667$	0.0932691	−	0.111154i	0.00361139	−	0.00430389i
$668$	−15.2908	−	12.8305i	−0.591621	−	0.496429i
$669$	−5.32544	+	0.728724i	−0.205893	+	0.0281741i
$670$	1.65794	+	1.39117i	0.0640517	+	0.0537457i
$671$	2.28273	+	2.72045i	0.0881238	+	0.105022i
$672$	−2.65671	−	0.102438i	−0.102485	−	0.00395164i
$673$		−	27.3550i		−	1.05446i	−0.849723	−	0.527230i	$-0.823231\pi$
$673$		−	27.3550i		−	1.05446i	0.849723	−	0.527230i	$-0.176769\pi$
$674$	−3.01797	−	3.59667i	−0.116248	−	0.138539i
$675$	22.3751	+	11.2166i	0.861220	+	0.431726i
$676$	13.5601	−	23.4868i	0.521543	−	0.903340i
$677$	−19.1605	+	33.1869i	−0.736397	+	1.27548i	0.217711	+	0.976013i	$0.430141\pi$
$677$	−19.1605	+	33.1869i	−0.736397	+	1.27548i	−0.954108	+	0.299464i	$0.903192\pi$
$678$	−19.1674	+	14.8634i	−0.736120	+	0.570826i
$679$	−2.29940	+	2.74031i	−0.0882427	+	0.105164i
$680$	3.05594	+	1.11227i	0.117190	+	0.0426537i
$681$	10.3584	−	3.32409i	0.396934	−	0.127379i
$682$	0.369409	−	2.09502i	0.0141454	−	0.0802226i
$683$	−18.5390			−0.709374			−0.354687	−	0.934985i	$-0.615413\pi$
$683$	−18.5390			−0.709374			−0.354687	+	0.934985i	$0.615413\pi$
$684$	−9.24048	−	9.25275i	−0.353319	−	0.353788i
$685$	−6.73289			−0.257250
$686$	−3.10364	+	17.6016i	−0.118497	+	0.672032i
$687$	−7.12726	−	6.46445i	−0.271922	−	0.246634i
$688$	8.08219	+	2.94168i	0.308131	+	0.112150i
$689$	11.0512	−	13.1703i	0.421016	−	0.501748i
$690$	0.102243	+	0.747182i	0.00389233	+	0.0284447i
$691$	15.4228	−	26.7130i	0.586709	−	1.01621i	−0.407951	−	0.913004i	$-0.633757\pi$
$691$	15.4228	−	26.7130i	0.586709	−	1.01621i	0.994660	−	0.103206i	$-0.0329101\pi$
$692$	0.335319	−	0.580789i	0.0127469	−	0.0220783i
$693$	1.40038	+	1.95720i	0.0531959	+	0.0743479i
$694$	−13.1043	−	15.6171i	−0.497434	−	0.592819i
$695$			5.34284i			0.202665i
$696$	−0.115174	−	0.218521i	−0.00436564	−	0.00828303i
$697$	60.9678	+	72.6586i	2.30932	+	2.75214i
$698$	−11.5847	−	9.72072i	−0.438487	−	0.367935i
$699$	−6.69991	+	16.4110i	−0.253414	+	0.620719i
$700$	5.66401	+	4.75267i	0.214079	+	0.179634i
$701$	−29.9186	+	35.6556i	−1.13001	+	1.34669i	−0.199725	+	0.979852i	$0.564005\pi$
$701$	−29.9186	+	35.6556i	−1.13001	+	1.34669i	−0.930284	+	0.366840i	$0.880440\pi$
$702$	3.79683	−	32.6930i	0.143302	−	1.23392i
$703$	0.500139	−	46.0886i	0.0188631	−	1.73826i
$704$	0.452592	−	0.261304i	0.0170577	−	0.00984826i
$705$	−5.83618	+	1.87288i	−0.219803	+	0.0705367i
$706$	8.38279	+	1.47811i	0.315491	+	0.0556295i
$707$	−6.52657	+	17.9316i	−0.245457	+	0.674387i
$708$	−0.0905727	+	0.418627i	−0.00340393	+	0.0157330i
$709$	−5.04532	−	28.6134i	−0.189481	−	1.07460i	−0.920062	−	0.391773i	$-0.871862\pi$
$709$	−5.04532	−	28.6134i	−0.189481	−	1.07460i	0.730581	−	0.682826i	$-0.239249\pi$
$710$	−2.03274	+	1.17360i	−0.0762874	+	0.0440446i
$711$	28.3007	−	13.5495i	1.06136	−	0.508147i
$712$	0.0103333	−	0.00867070i	0.000387258	−	0.000324948i
$713$	−3.89183	−	1.41651i	−0.145750	−	0.0530488i
$714$	0.778457	−	20.1890i	0.0291330	−	0.755555i
$715$		−	1.41659i		−	0.0529776i
$716$	10.4721	−	8.78710i	0.391359	−	0.328389i
$717$	−15.2309	−	47.4619i	−0.568809	−	1.77250i
$718$	−10.8534	−	12.9345i	−0.405044	−	0.482713i
$719$	14.6360	+	40.2120i	0.545829	+	1.49965i	0.839291	+	0.543682i	$0.182970\pi$
$719$	14.6360	+	40.2120i	0.545829	+	1.49965i	−0.293462	+	0.955971i	$0.594807\pi$
$720$	1.24341	+	0.319630i	0.0463391	+	0.0119119i
$721$			7.52395i			0.280206i
$722$	3.70459	−	18.6353i	0.137871	−	0.693536i
$723$	−1.24834	+	32.3753i	−0.0464263	+	1.20405i
$724$	0.781529	+	2.14723i	0.0290453	+	0.0798013i
$725$	−0.119288	+	0.676518i	−0.00443026	+	0.0251252i
$726$	17.2012	+	7.02254i	0.638397	+	0.260631i
$727$	19.1500	−	6.97004i	0.710235	−	0.258504i	0.0384606	−	0.999260i	$-0.487755\pi$
$727$	19.1500	−	6.97004i	0.710235	−	0.258504i	0.671775	+	0.740756i	$0.265532\pi$
$728$	3.32536	−	9.13636i	0.123246	−	0.338616i
$729$	−7.78182	−	25.8543i	−0.288216	−	0.957566i
$730$	−1.27876	−	0.738295i	−0.0473292	−	0.0273255i
$731$	−22.3546	+	61.4187i	−0.826814	+	2.27165i
$732$	−1.59570	−	11.6612i	−0.0589787	−	0.431010i
$733$	−11.8627	−	20.5468i	−0.438160	−	0.758915i	0.559388	−	0.828906i	$-0.311036\pi$
$733$	−11.8627	−	20.5468i	−0.438160	−	0.758915i	−0.997548	+	0.0699912i	$0.977703\pi$
$734$	−21.1507			−0.780687
$735$	1.30101	−	3.18674i	0.0479886	−	0.117545i
$736$	−0.347984	−	0.956077i	−0.0128268	−	0.0352415i
$737$	0.458958	+	2.60288i	0.0169059	+	0.0958783i
$738$	26.7453	+	26.2058i	0.984508	+	0.964649i
$739$	−14.3325	−	12.0264i	−0.527228	−	0.442397i	0.339915	−	0.940456i	$-0.389602\pi$
$739$	−14.3325	−	12.0264i	−0.527228	−	0.442397i	−0.867143	+	0.498059i	$0.834046\pi$
$740$	2.26256	+	3.91886i	0.0831732	+	0.144060i
$741$	42.5442	−	21.8367i	1.56290	−	0.802192i
$742$	2.08322	−	3.60824i	0.0764774	−	0.132463i
$743$	−18.9667	+	6.90330i	−0.695820	+	0.253258i	−0.665625	−	0.746286i	$-0.731835\pi$
$743$	−18.9667	+	6.90330i	−0.695820	+	0.253258i	−0.0301946	+	0.999544i	$0.509613\pi$
$744$	−4.73673	+	5.22240i	−0.173657	+	0.191462i
$745$	0.861646	−	0.723007i	0.0315683	−	0.0264889i
$746$	−15.2010	−	2.68035i	−0.556549	−	0.0981347i
$747$	19.3063	+	26.9830i	0.706382	+	0.987256i
$748$	1.98572	+	3.43937i	0.0726051	+	0.125756i
$749$	−1.44986			−0.0529769
$750$	−4.45898	−	5.75017i	−0.162819	−	0.209967i
$751$	−40.3581	+	7.11621i	−1.47269	+	0.259674i	−0.851651	−	0.524109i	$-0.824399\pi$
$751$	−40.3581	+	7.11621i	−1.47269	+	0.259674i	−0.621035	+	0.783783i	$0.713287\pi$
$752$	7.16136	−	4.13461i	0.261148	−	0.150774i
$753$	−0.568566	+	14.7456i	−0.0207197	+	0.537359i
$754$	0.889604	−	0.156861i	0.0323975	−	0.00571255i
$755$	1.23525	−	7.00544i	0.0449553	−	0.254954i
$756$	−0.469637	−	7.96220i	−0.0170805	−	0.289583i
$757$	0.353190	−	0.128551i	0.0128369	−	0.00467225i	−0.335594	−	0.942007i	$-0.608937\pi$
$757$	0.353190	−	0.128551i	0.0128369	−	0.00467225i	0.348431	+	0.937335i	$0.386715\pi$
$758$	0.371112	+	0.0654370i	0.0134794	+	0.00237678i
$759$	−0.490872	+	0.779245i	−0.0178175	+	0.0282848i
$760$	0.618935	+	1.75969i	0.0224511	+	0.0638307i
$761$	−32.5640	−	18.8008i	−1.18044	−	0.681530i	−0.224327	−	0.974514i	$-0.572018\pi$
$761$	−32.5640	−	18.8008i	−1.18044	−	0.681530i	−0.956117	+	0.292984i	$0.905352\pi$
$762$	−6.80448	+	7.50216i	−0.246500	+	0.271775i
$763$	5.38681	−	6.41975i	0.195015	−	0.232410i
$764$	−2.23600	+	0.394267i	−0.0808956	+	0.0142641i
$765$	−2.42895	+	9.44899i	−0.0878189	+	0.341629i
$766$	−1.43390	−	0.521895i	−0.0518088	−	0.0188569i
$767$	−1.35648	−	0.783164i	−0.0489796	−	0.0282784i
$768$	−1.73076	−	0.0667355i	−0.0624536	−	0.00240811i
$769$	−6.28777	−	35.6597i	−0.226743	−	1.28592i	−0.859325	−	0.511430i	$-0.829116\pi$
$769$	−6.28777	−	35.6597i	−0.226743	−	1.28592i	0.632582	−	0.774493i	$-0.281995\pi$
$770$	−0.0596127	−	0.338081i	−0.00214829	−	0.0121836i
$771$	−18.3097	−	0.705995i	−0.659409	−	0.0254258i
$772$	−17.7390	−	10.2416i	−0.638441	−	0.368604i
$773$	32.0755	+	11.6745i	1.15367	+	0.419903i	0.846834	−	0.531858i	$-0.178506\pi$
$773$	32.0755	+	11.6745i	1.15367	+	0.419903i	0.306840	+	0.951761i	$0.400728\pi$
$774$	−6.42396	+	24.9902i	−0.230905	+	0.898254i
$775$	19.3098	−	3.40483i	0.693628	−	0.122305i
$776$	−1.49799	+	1.78523i	−0.0537746	+	0.0640861i
$777$	18.8871	−	20.8236i	0.677571	−	0.747043i
$778$	5.47692	+	3.16210i	0.196357	+	0.113367i
$779$	−10.0281	+	53.4727i	−0.359295	+	1.91586i
$780$	−2.50239	+	3.97247i	−0.0895998	+	0.142237i
$781$	−2.82288	−	0.497749i	−0.101010	−	0.0178109i
$782$	7.26549	−	2.64442i	0.259813	−	0.0945643i
$783$	0.618835	−	0.407668i	0.0221153	−	0.0145689i
$784$	−0.806388	+	4.57326i	−0.0287996	+	0.163331i
$785$	5.71583	−	1.00785i	0.204007	−	0.0359719i
$786$	−0.881281	+	22.8558i	−0.0314343	+	0.815238i
$787$	28.0688	−	16.2055i	1.00054	−	0.577665i	0.0921350	−	0.995747i	$-0.470631\pi$
$787$	28.0688	−	16.2055i	1.00054	−	0.577665i	0.908409	+	0.418082i	$0.137298\pi$
$788$	−8.50688	+	1.49999i	−0.303045	+	0.0534350i
$789$	−24.6442	−	31.7804i	−0.877355	−	1.13141i
$790$	−4.47588			−0.159245
$791$	−10.7478	−	18.6157i	−0.382147	−	0.661897i
$792$	0.912304	+	1.27506i	0.0324173	+	0.0453072i
$793$	42.3881	+	7.47417i	1.50525	+	0.265416i
$794$	−2.93735	+	2.46473i	−0.104243	+	0.0874699i
$795$	−1.35165	+	1.49024i	−0.0479380	+	0.0528532i
$796$	−22.3402	+	8.13116i	−0.791827	+	0.288201i
$797$	20.4906	−	35.4908i	0.725815	−	1.25715i	−0.232823	−	0.972519i	$-0.574796\pi$
$797$	20.4906	−	35.4908i	0.725815	−	1.25715i	0.958638	−	0.284629i	$-0.0918705\pi$
$798$	9.23457	−	7.00184i	0.326900	−	0.247862i
$799$	31.4200	+	54.4211i	1.11156	+	1.92528i
$800$	3.68993	+	3.09622i	0.130459	+	0.109468i
$801$	0.0289050	+	0.0283219i	0.00102131	+	0.00100071i
$802$	2.21364	+	12.5542i	0.0781663	+	0.443303i
$803$	−0.616738	−	1.69447i	−0.0217642	−	0.0597966i
$804$	3.31091	−	8.10984i	0.116767	−	0.286012i
$805$	−0.668344			−0.0235560
$806$	−12.8918	−	22.3292i	−0.454094	−	0.786514i
$807$	−2.38405	−	17.4224i	−0.0839225	−	0.613297i
$808$	−4.25186	+	11.6819i	−0.149580	+	0.410968i
$809$	−26.5864	−	15.3497i	−0.934727	−	0.539665i	−0.0464238	−	0.998922i	$-0.514782\pi$
$809$	−26.5864	−	15.3497i	−0.934727	−	0.539665i	−0.888304	+	0.459257i	$0.848116\pi$
$810$	−0.591388	+	3.80583i	−0.0207792	+	0.133723i
$811$	4.90737	−	13.4829i	0.172321	−	0.473448i	−0.823226	−	0.567714i	$-0.807828\pi$
$811$	4.90737	−	13.4829i	0.172321	−	0.473448i	0.995547	+	0.0942657i	$0.0300503\pi$
$812$	0.205710	−	0.0748722i	0.00721899	−	0.00262750i
$813$	−32.8077	−	13.3940i	−1.15062	−	0.469748i
$814$	−0.959596	+	5.44214i	−0.0336338	+	0.190747i
$815$	2.10307	+	5.77814i	0.0736674	+	0.202399i
$816$	0.507141	−	13.1525i	0.0177535	−	0.460431i
$817$	−35.3665	+	12.4394i	−1.23732	+	0.435201i
$818$			14.2062i			0.496709i
$819$	28.2497	+	7.26185i	0.987125	+	0.253749i
$820$	−1.82684	−	5.01920i	−0.0637960	−	0.175278i
$821$	8.78756	+	10.4726i	0.306688	+	0.365497i	0.897271	−	0.441480i	$-0.145547\pi$
$821$	8.78756	+	10.4726i	0.306688	+	0.365497i	−0.590583	+	0.806977i	$0.701102\pi$
$822$	8.32667	+	25.9472i	0.290426	+	0.905012i
$823$	7.71873	−	6.47678i	0.269058	−	0.225766i	−0.498269	−	0.867022i	$-0.666031\pi$
$823$	7.71873	−	6.47678i	0.269058	−	0.225766i	0.767327	+	0.641256i	$0.221586\pi$
$824$			4.90163i			0.170756i
$825$	0.167995	−	4.35691i	0.00584885	−	0.151688i
$826$	−0.356691	−	0.129825i	−0.0124109	−	0.00451719i
$827$	−5.54363	+	4.65166i	−0.192771	+	0.161754i	−0.734065	−	0.679080i	$-0.762379\pi$
$827$	−5.54363	+	4.65166i	−0.192771	+	0.161754i	0.541294	+	0.840834i	$0.317935\pi$
$828$	2.75304	−	1.31808i	0.0956749	−	0.0458063i
$829$	32.0742	−	18.5181i	1.11398	−	0.643159i	0.174126	−	0.984723i	$-0.444290\pi$
$829$	32.0742	−	18.5181i	1.11398	−	0.643159i	0.939858	+	0.341564i	$0.110957\pi$
$830$	−0.821853	−	4.66096i	−0.0285269	−	0.161784i
$831$	1.96108	−	9.06413i	0.0680292	−	0.314431i
$832$	2.16637	−	5.95207i	0.0751055	−	0.206351i
$833$	−34.7534	−	6.12796i	−1.20413	−	0.212321i
$834$	20.5902	−	6.60757i	0.712981	−	0.228801i
$835$	−7.39768	+	4.27105i	−0.256007	+	0.147806i
$836$	−0.802302	+	2.13203i	−0.0277482	+	0.0737380i
$837$	−16.9755	−	12.6183i	−0.586759	−	0.436154i
$838$	22.9619	−	27.3649i	0.793205	−	0.945305i
$839$	−19.9854	−	16.7698i	−0.689974	−	0.578957i	0.228928	−	0.973443i	$-0.426478\pi$
$839$	−19.9854	−	16.7698i	−0.689974	−	0.578957i	−0.918902	+	0.394487i	$0.870922\pi$
$840$	−0.430045	+	1.05336i	−0.0148379	+	0.0363445i
$841$	−22.1997	−	18.6278i	−0.765507	−	0.642337i
$842$	7.75956	+	9.24749i	0.267412	+	0.318690i
$843$	0.121473	+	0.230474i	0.00418376	+	0.00793794i
$844$			11.5482i			0.397505i
$845$	−7.46017	−	8.89068i	−0.256638	−	0.305849i
$846$	14.4354	+	20.1753i	0.496299	+	0.693639i
$847$	−8.23283	+	14.2597i	−0.282883	+	0.489968i
$848$	1.35715	−	2.35066i	0.0466049	−	0.0807220i
$849$	−3.04334	−	22.2404i	−0.104447	−	0.763290i
$850$	−23.5290	+	28.0408i	−0.807038	+	0.961791i
$851$	10.1096	+	3.67960i	0.346553	+	0.126135i
$852$	7.03676	+	6.38236i	0.241075	+	0.218656i
$853$	8.11165	−	46.0035i	0.277738	−	1.57513i	−0.452391	−	0.891820i	$-0.649429\pi$
$853$	8.11165	−	46.0035i	0.277738	−	1.57513i	0.730129	−	0.683310i	$-0.239460\pi$
$854$	10.4308			0.356934
$855$	−5.07336	+	2.36165i	−0.173505	+	0.0807667i
$856$	−0.944544			−0.0322838
$857$	−0.256175	+	1.45284i	−0.00875076	+	0.0496281i	−0.988870	−	0.148779i	$-0.952466\pi$
$857$	−0.256175	+	1.45284i	−0.00875076	+	0.0496281i	0.980120	+	0.198407i	$0.0635768\pi$
$858$	−5.45927	+	1.75192i	−0.186376	+	0.0598097i
$859$	−29.5535	−	10.7566i	−1.00835	−	0.367010i	−0.215552	−	0.976492i	$-0.569155\pi$
$859$	−29.5535	−	10.7566i	−1.00835	−	0.367010i	−0.792800	+	0.609482i	$0.791377\pi$
$860$	2.36591	−	2.81958i	0.0806768	−	0.0961469i
$861$	−26.2233	+	20.3349i	−0.893688	+	0.693012i
$862$	−6.45283	+	11.1766i	−0.219784	+	0.380678i
$863$	10.6692	−	18.4797i	0.363185	−	0.629055i	−0.625298	−	0.780386i	$-0.715023\pi$
$863$	10.6692	−	18.4797i	0.363185	−	0.629055i	0.988483	+	0.151331i	$0.0483559\pi$
$864$	−0.305954	−	5.18714i	−0.0104088	−	0.176470i
$865$	−0.184477	−	0.219851i	−0.00627241	−	0.00747517i
$866$			21.9241i			0.745012i
$867$	70.5267	+	2.71940i	2.39521	+	0.0923556i
$868$	−4.01638	−	4.78653i	−0.136325	−	0.162465i
$869$	−4.18717	−	3.51345i	−0.142040	−	0.119186i
$870$	−0.104733	+	0.0143315i	−0.00355078	+	0.000485882i
$871$	24.5393	+	20.5909i	0.831483	+	0.697697i
$872$	3.50934	−	4.18227i	0.118841	−	0.141630i
$873$	−5.76755	−	3.95153i	−0.195202	−	0.133739i
$874$	3.81645	+	2.25900i	0.129093	+	0.0764117i
$875$	5.58465	−	3.22430i	0.188796	−	0.109001i
$876$	−1.26377	+	5.84116i	−0.0426989	+	0.197355i
$877$	1.87859	+	0.331247i	0.0634356	+	0.0111854i	0.205276	−	0.978704i	$-0.434191\pi$
$877$	1.87859	+	0.331247i	0.0634356	+	0.0111854i	−0.141840	+	0.989890i	$0.545302\pi$
$878$	−3.99587	+	10.9786i	−0.134854	+	0.370508i
$879$	34.7032	−	11.1366i	1.17051	−	0.375627i
$880$	−0.0388359	−	0.220249i	−0.00130916	−	0.00742461i
$881$	−35.4049	+	20.4410i	−1.19282	+	0.688676i	−0.958945	−	0.283591i	$-0.908474\pi$
$881$	−35.4049	+	20.4410i	−1.19282	+	0.688676i	−0.233876	+	0.972266i	$0.575141\pi$
$882$	−13.8901	−	1.07275i	−0.467702	−	0.0361214i
$883$	−32.3311	+	27.1290i	−1.08803	+	0.912965i	−0.996563	−	0.0828437i	$-0.973600\pi$
$883$	−32.3311	+	27.1290i	−1.08803	+	0.912965i	−0.0914662	+	0.995808i	$0.529155\pi$
$884$	45.2313	+	16.4629i	1.52129	+	0.553706i
$885$	0.155088	+	0.0976952i	0.00521324	+	0.00328399i
$886$		−	36.5859i		−	1.22913i
$887$	23.8860	−	20.0427i	0.802014	−	0.672969i	−0.146674	−	0.989185i	$-0.546857\pi$
$887$	23.8860	−	20.0427i	0.802014	−	0.672969i	0.948687	+	0.316216i	$0.102412\pi$
$888$	12.3044	−	13.5660i	0.412908	−	0.455244i
$889$	−5.76967	−	6.87602i	−0.193508	−	0.230614i
$890$	−0.00197436	−	0.00542450i	−6.61806e−5	−	0.000181830i
$891$	−3.54072	+	3.09612i	−0.118619	+	0.103724i
$892$		−	3.10330i		−	0.103906i
$893$	−12.6948	+	33.7352i	−0.424816	+	1.12891i
$894$	−3.85193	−	2.42646i	−0.128828	−	0.0811528i
$895$	−2.00086	−	5.49732i	−0.0668815	−	0.183755i
$896$	0.266548	−	1.51167i	0.00890475	−	0.0505014i
$897$	1.51331	+	11.0591i	0.0505280	+	0.369254i
$898$	12.7542	−	4.64216i	0.425614	−	0.154911i
$899$	0.198553	−	0.545520i	0.00662211	−	0.0181941i
$900$	−8.16749	+	11.9211i	−0.272250	+	0.397369i
$901$	17.8633	+	10.3134i	0.595113	+	0.343589i
$902$	2.23095	−	6.12947i	0.0742823	−	0.204089i
$903$	−21.1707	−	8.64310i	−0.704516	−	0.287624i
$904$	−7.00185	−	12.1276i	−0.232878	−	0.403357i
$905$	0.977869			0.0325055
$906$	−28.5252	+	3.90334i	−0.947687	+	0.129680i
$907$	−12.7511	−	35.0334i	−0.423394	−	1.16326i	−0.949753	−	0.313002i	$-0.898665\pi$
$907$	−12.7511	−	35.0334i	−0.423394	−	1.16326i	0.526359	−	0.850262i	$-0.323557\pi$
$908$	1.09065	+	6.18538i	0.0361945	+	0.205269i
$909$	−36.1205	−	9.28512i	−1.19804	−	0.307968i
$910$	−3.18734	−	2.67450i	−0.105659	−	0.0886587i
$911$	−3.67885	−	6.37195i	−0.121886	−	0.211112i	0.798626	−	0.601828i	$-0.205561\pi$
$911$	−3.67885	−	6.37195i	−0.121886	−	0.211112i	−0.920511	+	0.390716i	$0.872227\pi$
$912$	6.01605	−	4.56149i	0.199211	−	0.151046i
$913$	2.88990	−	5.00545i	0.0956416	−	0.165656i
$914$	−8.41961	+	3.06449i	−0.278496	+	0.101364i
$915$	−4.92294	−	1.06511i	−0.162748	−	0.0352115i
$916$	4.25567	−	3.57093i	0.140611	−	0.117987i
$917$	−19.9625	−	3.51992i	−0.659219	−	0.116238i
$918$	39.4185	−	2.32503i	1.30100	−	0.0767374i
$919$	23.9377	+	41.4614i	0.789633	+	1.36768i	0.926192	+	0.377053i	$0.123062\pi$
$919$	23.9377	+	41.4614i	0.789633	+	1.36768i	−0.136559	+	0.990632i	$0.543604\pi$
$920$	−0.435406			−0.0143549
$921$	38.0180	−	5.20231i	1.25273	−	0.171422i
$922$	5.81997	−	1.02622i	0.191671	−	0.0337967i
$923$	−30.0869	+	17.3707i	−0.990321	+	0.571762i
$924$	−1.22917	+	0.647845i	−0.0404368	+	0.0213125i
$925$	−50.1600	+	8.84457i	−1.64925	+	0.290808i
$926$	4.35301	−	24.6871i	0.143049	−	0.811270i
$927$	−14.6351	+	1.43079i	−0.480680	+	0.0469932i
$928$	0.134014	−	0.0487770i	0.00439921	−	0.00160118i
$929$	51.9911	+	9.16743i	1.70577	+	0.300774i	0.939705	−	0.341986i	$-0.111100\pi$
$929$	51.9911	+	9.16743i	1.70577	+	0.300774i	0.766068	+	0.642760i	$0.222211\pi$
$930$	1.40682	+	2.66919i	0.0461314	+	0.0875262i
$931$	−9.93013	−	17.6388i	−0.325447	−	0.578087i
$932$	−8.86296	−	5.11703i	−0.290316	−	0.167614i
$933$	32.1250	+	6.95044i	1.05172	+	0.227547i
$934$	15.9991	−	19.0670i	0.523507	−	0.623891i
$935$	1.67373	−	0.295125i	0.0547370	−	0.00965161i
$936$	18.4038	+	4.73088i	0.601548	+	0.154634i
$937$	0.314672	+	0.114531i	0.0102799	+	0.00374158i	0.347155	−	0.937808i	$-0.387148\pi$
$937$	0.314672	+	0.114531i	0.0102799	+	0.00374158i	−0.336875	+	0.941549i	$0.609370\pi$
$938$	6.72299	+	3.88152i	0.219514	+	0.126736i
$939$	−9.85864	+	15.6503i	−0.321725	+	0.510729i
$940$	−0.614501	−	3.48501i	−0.0200428	−	0.113668i
$941$	6.15512	+	34.9074i	0.200651	+	1.13795i	0.904138	+	0.427241i	$0.140514\pi$
$941$	6.15512	+	34.9074i	0.200651	+	1.13795i	−0.703486	+	0.710709i	$0.748374\pi$
$942$	−10.9529	−	20.7812i	−0.356866	−	0.677089i
$943$	−10.9976	−	6.34948i	−0.358132	−	0.206768i
$944$	−0.232373	−	0.0845770i	−0.00756311	−	0.00275275i
$945$	−3.27063	−	0.976535i	−0.106394	−	0.0317667i
$946$	4.42660	−	0.780530i	0.143921	−	0.0253772i
$947$	−6.23766	+	7.43376i	−0.202697	+	0.241565i	−0.857811	−	0.513965i	$-0.828176\pi$
$947$	−6.23766	+	7.43376i	−0.202697	+	0.241565i	0.655114	+	0.755530i	$0.272620\pi$
$948$	5.53539	+	17.2491i	0.179781	+	0.560226i
$949$	−18.9272	−	10.9276i	−0.614401	−	0.354725i
$950$	−20.9950	−	0.227831i	−0.681167	−	0.00739182i
$951$	12.6401	+	0.487381i	0.409882	+	0.0158044i
$952$	11.4876	+	2.02557i	0.372315	+	0.0656492i
$953$	−53.9196	+	19.6251i	−1.74663	+	0.635721i	−0.999578	−	0.0290463i	$-0.990753\pi$
$953$	−53.9196	+	19.6251i	−1.74663	+	0.635721i	−0.747051	+	0.664767i	$0.768531\pi$
$954$	7.41467	+	3.36599i	0.240059	+	0.108978i
$955$	−0.168724	+	0.956883i	−0.00545979	+	0.0309640i
$956$	28.3413	−	4.99734i	0.916624	−	0.161626i
$957$	−0.109227	−	0.0688057i	−0.00353081	−	0.00222417i
$958$	−23.7526	+	13.7136i	−0.767413	+	0.443066i
$959$	−23.7832	+	4.19363i	−0.768001	+	0.135419i
$960$	−0.280161	+	0.686235i	−0.00904216	+	0.0221481i
$961$	14.4300			0.465483
$962$	33.4884	+	58.0036i	1.07971	+	1.87011i
$963$	−0.275713	−	2.82019i	−0.00888472	−	0.0908792i
$964$	−18.4216	−	3.24823i	−0.593320	−	0.104618i
$965$	−6.71491	+	5.63448i	−0.216161	+	0.181380i
$966$	0.826551	+	2.57566i	0.0265938	+	0.0828706i
$967$	−33.7884	+	12.2980i	−1.08656	+	0.395476i	−0.822346	−	0.568988i	$-0.807335\pi$
$967$	−33.7884	+	12.2980i	−1.08656	+	0.395476i	−0.264215	+	0.964464i	$0.585113\pi$
$968$	−5.36344	+	9.28975i	−0.172388	+	0.298584i
$969$	34.6640	+	45.7176i	1.11357	+	1.46866i
$970$	0.498652	+	0.863691i	0.0160108	+	0.0277315i
$971$	−3.22815	−	2.70874i	−0.103596	−	0.0869275i	0.589518	−	0.807755i	$-0.299318\pi$
$971$	−3.22815	−	2.70874i	−0.103596	−	0.0869275i	−0.693115	+	0.720827i	$0.743762\pi$
$972$	15.3983	−	2.42764i	0.493900	−	0.0778664i
$973$	3.32782	+	18.8730i	0.106685	+	0.605041i
$974$	5.48536	+	15.0709i	0.175762	+	0.482903i
$975$	−32.3834	−	41.7606i	−1.03710	−	1.33741i
$976$	6.79534			0.217513
$977$	−0.0111873	−	0.0193770i	−0.000357914	−	0.000619925i	0.865846	−	0.500310i	$-0.166781\pi$
$977$	−0.0111873	−	0.0193770i	−0.000357914	−	0.000619925i	−0.866204	+	0.499690i	$0.833447\pi$
$978$	19.6669	−	15.2507i	0.628878	−	0.487665i
$979$	0.00241109	−	0.00662443i	7.70589e−5	−	0.000211718i
$980$	1.72104	+	0.993645i	0.0549767	+	0.0317408i
$981$	13.5117	+	9.25727i	0.431394	+	0.295562i
$982$	12.9951	−	35.7037i	0.414690	−	1.13935i
$983$	−40.8158	+	14.8557i	−1.30182	+	0.473824i	−0.897589	−	0.440833i	$-0.854683\pi$
$983$	−40.8158	+	14.8557i	−1.30182	+	0.473824i	−0.404231	+	0.914657i	$0.632461\pi$
$984$	−17.0837	+	13.2476i	−0.544609	+	0.422318i
$985$	−0.641913	+	3.64047i	−0.0204531	+	0.115995i
$986$	0.370669	+	1.01841i	0.0118045	+	0.0324327i
$987$	−19.4492	+	10.2509i	−0.619074	+	0.326288i
$988$	9.16093	+	26.0454i	0.291448	+	0.828614i
$989$		−	8.75085i		−	0.278261i
$990$	0.646277	−	0.180246i	0.0205400	−	0.00572859i
$991$	4.80746	+	13.2084i	0.152714	+	0.419578i	0.992332	−	0.123599i	$-0.0394435\pi$
$991$	4.80746	+	13.2084i	0.152714	+	0.419578i	−0.839618	+	0.543177i	$0.817221\pi$
$992$	−2.61655	−	3.11828i	−0.0830755	−	0.0990055i
$993$	−21.7133	−	4.69782i	−0.689052	−	0.149081i
$994$	−6.44947	+	5.41175i	−0.204565	+	0.171650i
$995$			10.1739i			0.322535i
$996$	−16.9460	+	8.93153i	−0.536954	+	0.283006i
$997$	−7.22519	−	2.62976i	−0.228824	−	0.0832852i	0.225064	−	0.974344i	$-0.427741\pi$
$997$	−7.22519	−	2.62976i	−0.228824	−	0.0832852i	−0.453888	+	0.891059i	$0.649963\pi$
$998$	−2.16848	+	1.81957i	−0.0686419	+	0.0575974i
$999$	44.0964	+	32.7781i	1.39515	+	1.03705i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	342.2.x.c.41.5	✓	60
9.2	odd	6		342.2.bf.c.155.8	yes	60
19.13	odd	18		342.2.bf.c.203.8	yes	60
171.146	even	18	inner	342.2.x.c.317.5	yes	60

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
342.2.x.c.41.5	✓	60	1.1	even	1	trivial
342.2.x.c.317.5	yes	60	171.146	even	18	inner
342.2.bf.c.155.8	yes	60	9.2	odd	6
342.2.bf.c.203.8	yes	60	19.13	odd	18

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:	\( N \)	\(=\)	\( 342 = 2 \cdot 3^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	342.x (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.173648 - 0.984808i) q^{2} +(-0.366266 + 1.69288i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(-0.275077 + 0.327824i) q^{5} +(1.60356 + 0.654667i) q^{6} +(-0.767495 + 1.32934i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-2.73170 - 1.24009i) q^{9} +O(q^{10})\)	\(q+(0.173648 - 0.984808i) q^{2} +(-0.366266 + 1.69288i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(-0.275077 + 0.327824i) q^{5} +(1.60356 + 0.654667i) q^{6} +(-0.767495 + 1.32934i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-2.73170 - 1.24009i) q^{9} +(0.275077 + 0.327824i) q^{10} +0.522608i q^{11} +(0.923177 - 1.46552i) q^{12} +(4.07145 + 4.85217i) q^{13} +(1.17587 + 0.986673i) q^{14} +(-0.454217 - 0.585744i) q^{15} +(0.766044 + 0.642788i) q^{16} +(-4.88472 + 5.82138i) q^{17} +(-1.69560 + 2.47486i) q^{18} +(-4.35864 - 0.0472987i) q^{19} +(0.370611 - 0.213972i) q^{20} +(-1.96931 - 1.78617i) q^{21} +(0.514668 + 0.0907499i) q^{22} +(0.347984 - 0.956077i) q^{23} +(-1.28295 - 1.16364i) q^{24} +(0.836440 + 4.74368i) q^{25} +(5.48545 - 3.16703i) q^{26} +(3.09985 - 4.17024i) q^{27} +(1.17587 - 0.986673i) q^{28} +(0.134014 + 0.0487770i) q^{29} +(-0.655719 + 0.345603i) q^{30} -4.07063i q^{31} +(0.766044 - 0.642788i) q^{32} +(-0.884714 - 0.191413i) q^{33} +(4.88472 + 5.82138i) q^{34} +(-0.224670 - 0.617275i) q^{35} +(2.14282 + 2.09960i) q^{36} +10.5741i q^{37} +(-0.803450 + 4.28421i) q^{38} +(-9.70538 + 5.11531i) q^{39} +(-0.146366 - 0.402136i) q^{40} +(2.16736 - 12.2917i) q^{41} +(-2.10100 + 1.62923i) q^{42} +(8.08219 - 2.94168i) q^{43} +(0.178742 - 0.491091i) q^{44} +(1.15796 - 0.554397i) q^{45} +(-0.881125 - 0.508718i) q^{46} +(2.82824 - 7.77053i) q^{47} +(-1.36874 + 1.06139i) q^{48} +(2.32190 + 4.02165i) q^{49} +4.81686 q^{50} +(-8.06580 - 10.4014i) q^{51} +(-2.16637 - 5.95207i) q^{52} +(-0.471335 - 2.67307i) q^{53} +(-3.56860 - 3.77691i) q^{54} +(-0.171324 - 0.143758i) q^{55} +(-0.767495 - 1.32934i) q^{56} +(1.67649 - 7.36134i) q^{57} +(0.0713072 - 0.123508i) q^{58} +(-0.232373 + 0.0845770i) q^{59} +(0.226488 + 0.705771i) q^{60} +(5.20553 - 4.36796i) q^{61} +(-4.00879 - 0.706857i) q^{62} +(3.74507 - 2.67959i) q^{63} +(-0.500000 - 0.866025i) q^{64} -2.71062 q^{65} +(-0.342134 + 0.838034i) q^{66} +(4.98056 - 0.878207i) q^{67} +(6.58116 - 3.79963i) q^{68} +(1.49107 + 0.939273i) q^{69} +(-0.646911 + 0.114068i) q^{70} +(-0.952433 + 5.40152i) q^{71} +(2.43980 - 1.74568i) q^{72} +(-3.24234 + 1.18012i) q^{73} +(10.4134 + 1.83617i) q^{74} +(-8.33686 - 0.321456i) q^{75} +(4.07961 + 1.53519i) q^{76} +(-0.694724 - 0.401099i) q^{77} +(3.35227 + 10.4462i) q^{78} +(-6.72293 + 8.01207i) q^{79} +(-0.421443 + 0.0743118i) q^{80} +(5.92436 + 6.77510i) q^{81} +(-11.7286 - 4.26887i) q^{82} +(-9.57783 - 5.52976i) q^{83} +(1.23964 + 2.35199i) q^{84} +(-0.564715 - 3.20266i) q^{85} +(-1.49353 - 8.47022i) q^{86} +(-0.131658 + 0.209004i) q^{87} +(-0.452592 - 0.261304i) q^{88} +(-0.0126757 - 0.00461358i) q^{89} +(-0.344897 - 1.23664i) q^{90} +(-9.57500 + 1.68833i) q^{91} +(-0.653995 + 0.779401i) q^{92} +(6.89109 + 1.49093i) q^{93} +(-7.16136 - 4.13461i) q^{94} +(1.21447 - 1.41586i) q^{95} +(0.807588 + 1.53225i) q^{96} +(2.29505 + 0.404679i) q^{97} +(4.36375 - 1.58828i) q^{98} +(0.648081 - 1.42761i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 60 q - 6 q^{3} - 30 q^{8} + 6 q^{9}+O(q^{10}) \) 60 * q - 6 * q^3 - 30 * q^8 + 6 * q^9	\( 60 q - 6 q^{3} - 30 q^{8} + 6 q^{9} + 3 q^{13} + 3 q^{14} + 27 q^{15} - 27 q^{17} - 18 q^{18} + 3 q^{19} + 18 q^{23} + 3 q^{24} - 6 q^{27} + 3 q^{28} + 57 q^{33} + 27 q^{34} + 9 q^{38} - 30 q^{39} + 9 q^{41} - 3 q^{43} - 9 q^{44} + 27 q^{45} - 30 q^{49} - 132 q^{50} - 66 q^{51} + 6 q^{52} + 27 q^{54} + 102 q^{57} - 54 q^{59} + 6 q^{60} - 24 q^{61} - 3 q^{62} - 30 q^{64} + 36 q^{65} - 63 q^{66} + 51 q^{67} - 18 q^{68} + 3 q^{69} - 18 q^{71} - 3 q^{72} - 66 q^{73} - 6 q^{74} + 3 q^{78} - 51 q^{79} - 30 q^{81} - 36 q^{83} + 60 q^{84} - 3 q^{86} + 54 q^{87} - 27 q^{89} + 36 q^{90} - 69 q^{91} + 69 q^{93} + 18 q^{94} - 27 q^{95} + 81 q^{97} + 60 q^{98} + 51 q^{99}+O(q^{100}) \) 60 * q - 6 * q^3 - 30 * q^8 + 6 * q^9 + 3 * q^13 + 3 * q^14 + 27 * q^15 - 27 * q^17 - 18 * q^18 + 3 * q^19 + 18 * q^23 + 3 * q^24 - 6 * q^27 + 3 * q^28 + 57 * q^33 + 27 * q^34 + 9 * q^38 - 30 * q^39 + 9 * q^41 - 3 * q^43 - 9 * q^44 + 27 * q^45 - 30 * q^49 - 132 * q^50 - 66 * q^51 + 6 * q^52 + 27 * q^54 + 102 * q^57 - 54 * q^59 + 6 * q^60 - 24 * q^61 - 3 * q^62 - 30 * q^64 + 36 * q^65 - 63 * q^66 + 51 * q^67 - 18 * q^68 + 3 * q^69 - 18 * q^71 - 3 * q^72 - 66 * q^73 - 6 * q^74 + 3 * q^78 - 51 * q^79 - 30 * q^81 - 36 * q^83 + 60 * q^84 - 3 * q^86 + 54 * q^87 - 27 * q^89 + 36 * q^90 - 69 * q^91 + 69 * q^93 + 18 * q^94 - 27 * q^95 + 81 * q^97 + 60 * q^98 + 51 * q^99

Introduction

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