LMFDB - Embedded newform 588.2.x.a.55.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [588,2,Mod(55,588)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(588, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([7, 0, 9]))

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

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

chi := DirichletCharacter("588.55");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 588 = 2^{2} \cdot 3 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	588.x (of order $14$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$4.69520363885$
Analytic rank:	$0$
Dimension:	$168$
Relative dimension:	$28$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			55.1
Character	$\chi$	$=$	588.55
Dual form			588.2.x.a.139.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.40988 - 0.110588i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(1.97554 + 0.311833i) q^{4} +(1.52760 - 3.17209i) q^{5} +(1.22228 + 0.711362i) q^{6} +(-1.99561 + 1.73711i) q^{7} +(-2.75080 - 0.658120i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})$	\(q+(-1.40988 - 0.110588i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(1.97554 + 0.311833i) q^{4} +(1.52760 - 3.17209i) q^{5} +(1.22228 + 0.711362i) q^{6} +(-1.99561 + 1.73711i) q^{7} +(-2.75080 - 0.658120i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-2.50453 + 4.30333i) q^{10} +(4.83816 + 3.85831i) q^{11} +(-1.64460 - 1.13811i) q^{12} +(1.97633 + 1.57607i) q^{13} +(3.00568 - 2.22843i) q^{14} +(-2.75263 + 2.19515i) q^{15} +(3.80552 + 1.23208i) q^{16} +(4.93187 + 1.12567i) q^{17} +(-0.792586 - 1.17124i) q^{18} -4.26136 q^{19} +(4.00699 - 5.79023i) q^{20} +(2.55168 - 0.699220i) q^{21} +(-6.39456 - 5.97480i) q^{22} +(0.208395 - 0.0475648i) q^{23} +(2.19283 + 1.78647i) q^{24} +(-4.61113 - 5.78217i) q^{25} +(-2.61210 - 2.44063i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(-4.48409 + 2.80943i) q^{28} +(-0.0663913 + 0.290879i) q^{29} +(4.12365 - 2.79050i) q^{30} +7.69237 q^{31} +(-5.22908 - 2.15793i) q^{32} +(-2.68498 - 5.57541i) q^{33} +(-6.82887 - 2.13247i) q^{34} +(2.46178 + 8.98384i) q^{35} +(0.987928 + 1.73896i) q^{36} +(-1.37351 + 6.01775i) q^{37} +(6.00801 + 0.471256i) q^{38} +(-1.09678 - 2.27749i) q^{39} +(-6.28972 + 7.72042i) q^{40} +(2.14705 - 4.45839i) q^{41} +(-3.67490 + 0.703632i) q^{42} +(-3.99654 - 8.29891i) q^{43} +(8.35484 + 9.13094i) q^{44} +(3.43248 - 0.783440i) q^{45} +(-0.299072 + 0.0440147i) q^{46} +(5.07363 - 6.36212i) q^{47} +(-2.89408 - 2.76122i) q^{48} +(0.964901 - 6.93318i) q^{49} +(5.86171 + 8.66212i) q^{50} +(-3.95505 - 3.15405i) q^{51} +(3.41285 + 3.72988i) q^{52} +(0.813643 + 3.56480i) q^{53} +(0.205913 + 1.39914i) q^{54} +(19.6296 - 9.45313i) q^{55} +(6.63274 - 3.46508i) q^{56} +(3.83935 + 1.84893i) q^{57} +(0.125772 - 0.402764i) q^{58} +(0.881692 - 0.424601i) q^{59} +(-6.12246 + 3.47825i) q^{60} +(8.42555 + 1.92308i) q^{61} +(-10.8453 - 0.850687i) q^{62} +(-2.60237 - 0.477159i) q^{63} +(7.13376 + 3.62071i) q^{64} +(8.01846 - 3.86149i) q^{65} +(3.16893 + 8.15761i) q^{66} -4.38123i q^{67} +(9.39208 + 3.76172i) q^{68} +(-0.208395 - 0.0475648i) q^{69} +(-2.47731 - 12.9384i) q^{70} +(10.9937 - 2.50925i) q^{71} +(-1.20055 - 2.56099i) q^{72} +(-7.45476 + 5.94497i) q^{73} +(2.60198 - 8.33242i) q^{74} +(1.64569 + 7.21025i) q^{75} +(-8.41848 - 1.32883i) q^{76} +(-16.3574 + 0.704753i) q^{77} +(1.29447 + 3.33228i) q^{78} +10.4658i q^{79} +(9.72155 - 10.1893i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-3.52013 + 6.04837i) q^{82} +(-0.557935 - 0.699628i) q^{83} +(5.25900 - 0.585637i) q^{84} +(11.1046 - 13.9247i) q^{85} +(4.71690 + 12.1425i) q^{86} +(0.186024 - 0.233267i) q^{87} +(-10.7696 - 13.7975i) q^{88} +(3.37035 - 2.68777i) q^{89} +(-4.92603 + 0.724967i) q^{90} +(-6.68178 + 0.287883i) q^{91} +(0.426525 - 0.0289817i) q^{92} +(-6.93059 - 3.33760i) q^{93} +(-7.85680 + 8.40877i) q^{94} +(-6.50963 + 13.5174i) q^{95} +(3.77495 + 4.21305i) q^{96} +2.26745i q^{97} +(-2.12713 + 9.66826i) q^{98} +6.18824i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/588\mathbb{Z}\right)^\times$.

$n$	$197$	$295$	$493$
$\chi(n)$	$1$	$-1$	$e\left(\frac{9}{14}\right)$

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 $

$2$	−1.40988	−	0.110588i	−0.996938	−	0.0781978i
$2$	−1.40988	−	0.110588i	−0.996938	−	0.0781978i
$3$	−0.900969	−	0.433884i	−0.520175	−	0.250503i
$3$	−0.900969	−	0.433884i	−0.520175	−	0.250503i
$4$	1.97554	+	0.311833i	0.987770	+	0.155917i
$5$	1.52760	−	3.17209i	0.683162	−	1.41860i	−0.213972	−	0.976840i	$-0.568640\pi$
$5$	1.52760	−	3.17209i	0.683162	−	1.41860i	0.897133	−	0.441760i	$-0.145646\pi$
$6$	1.22228	+	0.711362i	0.498993	+	0.290412i
$7$	−1.99561	+	1.73711i	−0.754269	+	0.656566i
$7$	−1.99561	+	1.73711i	−0.754269	+	0.656566i
$8$	−2.75080	−	0.658120i	−0.972553	−	0.232681i
$9$	0.623490	+	0.781831i	0.207830	+	0.260610i
$10$	−2.50453	+	4.30333i	−0.792001	+	1.36083i
$11$	4.83816	+	3.85831i	1.45876	+	1.16332i	0.953901	+	0.300122i	$0.0970272\pi$
$11$	4.83816	+	3.85831i	1.45876	+	1.16332i	0.504860	+	0.863201i	$0.331544\pi$
$12$	−1.64460	−	1.13811i	−0.474755	−	0.328543i
$13$	1.97633	+	1.57607i	0.548135	+	0.437123i	0.857994	−	0.513659i	$-0.171710\pi$
$13$	1.97633	+	1.57607i	0.548135	+	0.437123i	−0.309859	+	0.950782i	$0.600282\pi$
$14$	3.00568	−	2.22843i	0.803301	−	0.595573i
$15$	−2.75263	+	2.19515i	−0.710727	+	0.566786i
$16$	3.80552	+	1.23208i	0.951380	+	0.308020i
$17$	4.93187	+	1.12567i	1.19615	+	0.273014i	0.773808	−	0.633421i	$-0.218350\pi$
$17$	4.93187	+	1.12567i	1.19615	+	0.273014i	0.422346	+	0.906435i	$0.361207\pi$
$18$	−0.792586	−	1.17124i	−0.186814	−	0.276064i
$19$	−4.26136			−0.977622			−0.488811	−	0.872390i	$-0.662569\pi$
$19$	−4.26136			−0.977622			−0.488811	+	0.872390i	$0.662569\pi$
$20$	4.00699	−	5.79023i	0.895990	−	1.29473i
$21$	2.55168	−	0.699220i	0.556823	−	0.152582i
$22$	−6.39456	−	5.97480i	−1.36332	−	1.27383i
$23$	0.208395	−	0.0475648i	0.0434533	−	0.00991794i	−0.200739	−	0.979645i	$-0.564334\pi$
$23$	0.208395	−	0.0475648i	0.0434533	−	0.00991794i	0.244192	+	0.969727i	$0.421477\pi$
$24$	2.19283	+	1.78647i	0.447610	+	0.364662i
$25$	−4.61113	−	5.78217i	−0.922225	−	1.15643i
$26$	−2.61210	−	2.44063i	−0.512275	−	0.478648i
$27$	−0.222521	−	0.974928i	−0.0428242	−	0.187625i
$28$	−4.48409	+	2.80943i	−0.847414	+	0.530933i
$29$	−0.0663913	+	0.290879i	−0.0123286	+	0.0540149i	−0.980718	−	0.195428i	$-0.937390\pi$
$29$	−0.0663913	+	0.290879i	−0.0123286	+	0.0540149i	0.968389	+	0.249443i	$0.0802475\pi$
$30$	4.12365	−	2.79050i	0.752872	−	0.509473i
$31$	7.69237			1.38159			0.690795	−	0.723050i	$-0.257261\pi$
$31$	7.69237			1.38159			0.690795	+	0.723050i	$0.257261\pi$
$32$	−5.22908	−	2.15793i	−0.924380	−	0.381472i
$33$	−2.68498	−	5.57541i	−0.467395	−	0.970555i
$34$	−6.82887	−	2.13247i	−1.17114	−	0.365715i
$35$	2.46178	+	8.98384i	0.416116	+	1.51855i
$36$	0.987928	+	1.73896i	0.164655	+	0.289827i
$37$	−1.37351	+	6.01775i	−0.225804	+	0.989311i	0.727217	+	0.686407i	$0.240813\pi$
$37$	−1.37351	+	6.01775i	−0.225804	+	0.989311i	−0.953021	+	0.302904i	$0.902044\pi$
$38$	6.00801	+	0.471256i	0.974628	+	0.0764479i
$39$	−1.09678	−	2.27749i	−0.175625	−	0.364690i
$40$	−6.28972	+	7.72042i	−0.994492	+	1.22071i
$41$	2.14705	−	4.45839i	0.335312	−	0.696283i	−0.663332	−	0.748325i	$-0.730858\pi$
$41$	2.14705	−	4.45839i	0.335312	−	0.696283i	0.998645	+	0.0520413i	$0.0165728\pi$
$42$	−3.67490	+	0.703632i	−0.567050	+	0.108573i
$43$	−3.99654	−	8.29891i	−0.609467	−	1.26557i	−0.946081	−	0.323929i	$-0.894996\pi$
$43$	−3.99654	−	8.29891i	−0.609467	−	1.26557i	0.336614	−	0.941643i	$-0.390718\pi$
$44$	8.35484	+	9.13094i	1.25954	+	1.37654i
$45$	3.43248	−	0.783440i	0.511683	−	0.116788i
$46$	−0.299072	+	0.0440147i	−0.0440958	+	0.00648962i
$47$	5.07363	−	6.36212i	0.740064	−	0.928011i	−0.259221	−	0.965818i	$-0.583466\pi$
$47$	5.07363	−	6.36212i	0.740064	−	0.928011i	0.999285	+	0.0378068i	$0.0120371\pi$
$48$	−2.89408	−	2.76122i	−0.417724	−	0.398547i
$49$	0.964901	−	6.93318i	0.137843	−	0.990454i
$50$	5.86171	+	8.66212i	0.828971	+	1.22501i
$51$	−3.95505	−	3.15405i	−0.553818	−	0.441655i
$52$	3.41285	+	3.72988i	0.473277	+	0.517241i
$53$	0.813643	+	3.56480i	0.111763	+	0.489664i	0.999566	+	0.0294418i	$0.00937296\pi$
$53$	0.813643	+	3.56480i	0.111763	+	0.489664i	−0.887804	+	0.460222i	$0.847770\pi$
$54$	0.205913	+	1.39914i	0.0280212	+	0.190399i
$55$	19.6296	−	9.45313i	2.64686	−	1.27466i
$56$	6.63274	−	3.46508i	0.886337	−	0.463041i
$57$	3.83935	+	1.84893i	0.508534	+	0.244897i
$58$	0.125772	−	0.402764i	0.0165147	−	0.0528855i
$59$	0.881692	−	0.424601i	0.114787	−	0.0552783i	−0.375609	−	0.926778i	$-0.622567\pi$
$59$	0.881692	−	0.424601i	0.114787	−	0.0552783i	0.490396	+	0.871500i	$0.336852\pi$
$60$	−6.12246	+	3.47825i	−0.790406	+	0.449040i
$61$	8.42555	+	1.92308i	1.07878	+	0.246225i	0.724752	−	0.689010i	$-0.241954\pi$
$61$	8.42555	+	1.92308i	1.07878	+	0.246225i	0.354029	+	0.935234i	$0.384811\pi$
$62$	−10.8453	−	0.850687i	−1.37736	−	0.108037i
$63$	−2.60237	−	0.477159i	−0.327868	−	0.0601164i
$64$	7.13376	+	3.62071i	0.891719	+	0.452589i
$65$	8.01846	−	3.86149i	0.994568	−	0.478959i
$66$	3.16893	+	8.15761i	0.390068	+	1.00413i
$67$		−	4.38123i		−	0.535252i	−0.963523	−	0.267626i	$-0.913761\pi$
$67$		−	4.38123i		−	0.535252i	0.963523	−	0.267626i	$-0.0862392\pi$
$68$	9.39208	+	3.76172i	1.13896	+	0.456176i
$69$	−0.208395	−	0.0475648i	−0.0250878	−	0.00572612i
$70$	−2.47731	−	12.9384i	−0.296095	−	1.54644i
$71$	10.9937	−	2.50925i	1.30472	−	0.297793i	0.486994	−	0.873405i	$-0.338093\pi$
$71$	10.9937	−	2.50925i	1.30472	−	0.297793i	0.817723	+	0.575612i	$0.195236\pi$
$72$	−1.20055	−	2.56099i	−0.141487	−	0.301816i
$73$	−7.45476	+	5.94497i	−0.872514	+	0.695807i	−0.953657	−	0.300896i	$-0.902714\pi$
$73$	−7.45476	+	5.94497i	−0.872514	+	0.695807i	0.0811431	+	0.996702i	$0.474143\pi$
$74$	2.60198	−	8.33242i	0.302474	−	0.968625i
$75$	1.64569	+	7.21025i	0.190028	+	0.832568i
$76$	−8.41848	−	1.32883i	−0.965666	−	0.152428i
$77$	−16.3574	+	0.704753i	−1.86410	+	0.0803140i
$78$	1.29447	+	3.33228i	0.146570	+	0.377307i
$79$			10.4658i			1.17750i	0.808316	+	0.588749i	$0.200379\pi$
$79$			10.4658i			1.17750i	−0.808316	+	0.588749i	$0.799621\pi$
$80$	9.72155	−	10.1893i	1.08690	−	1.13920i
$81$	−0.222521	+	0.974928i	−0.0247245	+	0.108325i
$82$	−3.52013	+	6.04837i	−0.388733	+	0.667931i
$83$	−0.557935	−	0.699628i	−0.0612413	−	0.0767941i	0.750267	−	0.661135i	$-0.229925\pi$
$83$	−0.557935	−	0.699628i	−0.0612413	−	0.0767941i	−0.811509	+	0.584340i	$0.801353\pi$
$84$	5.25900	−	0.585637i	0.573803	−	0.0638982i
$85$	11.1046	−	13.9247i	1.20446	−	1.51035i
$86$	4.71690	+	12.1425i	0.508636	+	1.30936i
$87$	0.186024	−	0.233267i	0.0199439	−	0.0250089i
$88$	−10.7696	−	13.7975i	−1.14804	−	1.47082i
$89$	3.37035	−	2.68777i	0.357257	−	0.284903i	−0.428370	−	0.903603i	$-0.640912\pi$
$89$	3.37035	−	2.68777i	0.357257	−	0.284903i	0.785627	+	0.618701i	$0.212341\pi$
$90$	−4.92603	+	0.724967i	−0.519249	+	0.0764183i
$91$	−6.68178	+	0.287883i	−0.700441	+	0.0301783i
$92$	0.426525	−	0.0289817i	0.0444683	−	0.00302155i
$93$	−6.93059	−	3.33760i	−0.718668	−	0.346092i
$94$	−7.85680	+	8.40877i	−0.810367	+	0.867298i
$95$	−6.50963	+	13.5174i	−0.667874	+	1.38685i
$96$	3.77495	+	4.21305i	0.385279	+	0.429992i
$97$			2.26745i			0.230225i	0.993352	+	0.115113i	$0.0367229\pi$
$97$			2.26745i			0.230225i	−0.993352	+	0.115113i	$0.963277\pi$
$98$	−2.12713	+	9.66826i	−0.214872	+	0.976642i
$99$			6.18824i			0.621942i
$100$	−7.30639	−	12.8608i	−0.730639	−	1.28608i
$101$	4.59889	−	9.54969i	0.457607	−	0.950230i	−0.536710	−	0.843767i	$-0.680333\pi$
$101$	4.59889	−	9.54969i	0.457607	−	0.950230i	0.994317	−	0.106463i	$-0.0339526\pi$
$102$	5.22736	+	4.88422i	0.517586	+	0.483610i
$103$	−6.79409	−	3.27186i	−0.669442	−	0.322386i	0.0681091	−	0.997678i	$-0.478303\pi$
$103$	−6.79409	−	3.27186i	−0.669442	−	0.322386i	−0.737551	+	0.675292i	$0.764018\pi$
$104$	−4.39924	−	5.63611i	−0.431380	−	0.552666i
$105$	1.67996	−	9.16228i	0.163947	−	0.894147i
$106$	−0.752916	−	5.11594i	−0.0731297	−	0.496904i
$107$	−4.14073	+	3.30212i	−0.400299	+	0.319228i	−0.802863	−	0.596164i	$-0.796691\pi$
$107$	−4.14073	+	3.30212i	−0.400299	+	0.319228i	0.402563	+	0.915392i	$0.368119\pi$
$108$	−0.135584	−	1.99540i	−0.0130466	−	0.192007i
$109$	−9.19641	+	11.5319i	−0.880856	+	1.10456i	0.112969	+	0.993599i	$0.463964\pi$
$109$	−9.19641	+	11.5319i	−0.880856	+	1.10456i	−0.993825	+	0.110960i	$0.964608\pi$
$110$	−28.7209	+	11.1570i	−2.73843	+	1.06378i
$111$	3.84849	−	4.82586i	0.365283	−	0.458050i
$112$	−9.73458	+	4.15186i	−0.919831	+	0.392314i
$113$	−8.79842	−	11.0329i	−0.827686	−	1.03789i	−0.998616	−	0.0526019i	$-0.983249\pi$
$113$	−8.79842	−	11.0329i	−0.827686	−	1.03789i	0.170930	−	0.985283i	$-0.445323\pi$
$114$	−5.20856	−	3.03137i	−0.487826	−	0.283913i
$115$	0.167464	−	0.733706i	0.0156161	−	0.0684184i
$116$	−0.221865	+	0.553941i	−0.0205996	+	0.0514321i
$117$			2.52782i			0.233697i
$118$	−1.29004	+	0.501132i	−0.118758	+	0.0461330i
$119$	−11.7975	+	6.32080i	−1.08147	+	0.579427i
$120$	9.01660	−	4.22685i	0.823099	−	0.385857i
$121$	6.07356	+	26.6100i	0.552142	+	2.41909i
$122$	−11.6664	−	3.64308i	−1.05622	−	0.329829i
$123$	−3.86885	+	3.08530i	−0.348842	+	0.278192i
$124$	15.1966	+	2.39874i	1.36469	+	0.215413i
$125$	−8.22309	+	1.87687i	−0.735496	+	0.167872i
$126$	3.61627	+	0.960530i	0.322163	+	0.0855708i
$127$	6.85220	+	1.56397i	0.608035	+	0.138780i	0.515443	−	0.856924i	$-0.327628\pi$
$127$	6.85220	+	1.56397i	0.608035	+	0.138780i	0.0925922	+	0.995704i	$0.470485\pi$
$128$	−9.65735	−	5.89369i	−0.853597	−	0.520933i
$129$			9.21109i			0.810992i
$130$	−11.7321	+	4.55750i	−1.02898	+	0.399719i
$131$	−10.7938	+	5.19800i	−0.943055	+	0.454152i	−0.841246	−	0.540652i	$-0.818177\pi$
$131$	−10.7938	+	5.19800i	−0.943055	+	0.454152i	−0.101809	+	0.994804i	$0.532463\pi$
$132$	−3.56568	−	11.8517i	−0.310353	−	1.03156i
$133$	8.50399	−	7.40244i	0.737390	−	0.641873i
$134$	−0.484513	+	6.17702i	−0.0418555	+	0.533613i
$135$	−3.43248	−	0.783440i	−0.295421	−	0.0674278i
$136$	−12.8257	−	6.34224i	−1.09980	−	0.543843i
$137$	−2.57531	+	1.24020i	−0.220023	+	0.105958i	−0.540649	−	0.841248i	$-0.681821\pi$
$137$	−2.57531	+	1.24020i	−0.220023	+	0.105958i	0.320625	+	0.947206i	$0.396107\pi$
$138$	0.288552	+	0.0901068i	0.0245632	+	0.00767040i
$139$	13.7154	+	6.60498i	1.16332	+	0.560227i	0.913010	−	0.407937i	$-0.133752\pi$
$139$	13.7154	+	6.60498i	1.16332	+	0.560227i	0.250314	+	0.968165i	$0.419466\pi$
$140$	2.06188	+	18.5156i	0.174261	+	1.56485i
$141$	−7.33160	+	3.53071i	−0.617432	+	0.297340i
$142$	−15.7774	+	2.32197i	−1.32401	+	0.194855i
$143$	3.48084	+	15.2506i	0.291083	+	1.27532i
$144$	1.40943	+	3.74346i	0.117452	+	0.311955i
$145$	0.821275	+	0.654945i	0.0682032	+	0.0543902i
$146$	11.1678	−	7.55731i	0.924253	−	0.625447i
$147$	−3.87754	+	5.82792i	−0.319814	+	0.480679i
$148$	−4.58996	+	11.4600i	−0.377292	+	0.942006i
$149$	11.0165	−	13.8142i	0.902504	−	1.13170i	−0.0882586	−	0.996098i	$-0.528130\pi$
$149$	11.0165	−	13.8142i	0.902504	−	1.13170i	0.990763	−	0.135607i	$-0.0432984\pi$
$150$	−1.52286	−	10.3476i	−0.124341	−	0.844878i
$151$	−13.3211	+	3.04046i	−1.08406	+	0.247429i	−0.726989	−	0.686649i	$-0.759081\pi$
$151$	−13.3211	+	3.04046i	−1.08406	+	0.247429i	−0.357069	+	0.934078i	$0.616224\pi$
$152$	11.7221	+	2.80448i	0.950789	+	0.227474i
$153$	2.19489	+	4.55773i	0.177446	+	0.368471i
$154$	23.1399	+	0.815316i	1.86467	+	0.0657000i
$155$	11.7508	−	24.4009i	0.943850	−	1.95992i
$156$	−1.45654	−	4.84128i	−0.116616	−	0.387613i
$157$	5.83429	+	12.1150i	0.465627	+	0.966885i	0.993095	+	0.117310i	$0.0374272\pi$
$157$	5.83429	+	12.1150i	0.465627	+	0.966885i	−0.527468	+	0.849575i	$0.676859\pi$
$158$	1.15740	−	14.7556i	0.0920778	−	1.17389i
$159$	0.813643	−	3.56480i	0.0645261	−	0.282707i
$160$	−14.8331	+	13.2907i	−1.17266	+	1.05072i
$161$	−0.333249	+	0.456925i	−0.0262637	+	0.0360108i
$162$	0.421544	−	1.34993i	0.0331196	−	0.106060i
$163$	−8.13951	−	16.9019i	−0.637536	−	1.32386i	−0.929993	−	0.367578i	$-0.880187\pi$
$163$	−8.13951	−	16.9019i	−0.637536	−	1.32386i	0.292457	−	0.956279i	$-0.405527\pi$
$164$	5.63185	−	8.13821i	0.439774	−	0.635487i
$165$	−21.7872			−1.69613
$166$	0.709252	+	1.04809i	0.0550486	+	0.0813479i
$167$	2.93620	−	12.8643i	0.227210	−	0.995471i	−0.724693	−	0.689072i	$-0.758019\pi$
$167$	2.93620	−	12.8643i	0.227210	−	0.995471i	0.951903	−	0.306399i	$-0.0991243\pi$
$168$	−7.47933	+	0.244096i	−0.577043	+	0.0188324i
$169$	−1.47089	−	6.44440i	−0.113145	−	0.495723i
$170$	−17.1961	+	18.4042i	−1.31888	+	1.41154i
$171$	−2.65691	−	3.33166i	−0.203179	−	0.254779i
$172$	−5.30746	−	17.6411i	−0.404690	−	1.34512i
$173$	−9.09979	+	2.07697i	−0.691844	+	0.157909i	−0.553965	−	0.832540i	$-0.686886\pi$
$173$	−9.09979	+	2.07697i	−0.691844	+	0.157909i	−0.137880	+	0.990449i	$0.544029\pi$
$174$	−0.288069	+	0.308307i	−0.0218385	+	0.0233727i
$175$	19.2463	+	3.52891i	1.45488	+	0.266761i
$176$	13.6580	+	20.6439i	1.02951	+	1.55609i
$177$	−0.978604			−0.0735564
$178$	−5.04904	+	3.41672i	−0.378442	+	0.256094i
$179$	−16.1979	−	3.69706i	−1.21069	−	0.276331i	−0.430913	−	0.902394i	$-0.641808\pi$
$179$	−16.1979	−	3.69706i	−1.21069	−	0.276331i	−0.779773	+	0.626062i	$0.784666\pi$
$180$	7.02530	−	0.477358i	0.523635	−	0.0355801i
$181$	−6.27025	+	5.00036i	−0.466064	+	0.371674i	−0.828183	−	0.560458i	$-0.810625\pi$
$181$	−6.27025	+	5.00036i	−0.466064	+	0.371674i	0.362118	+	0.932132i	$0.382054\pi$
$182$	9.45237	+	0.333047i	0.700656	+	0.0246871i
$183$	−6.75677	−	5.38834i	−0.499475	−	0.398318i
$184$	−0.604555	−	0.00630790i	−0.0445684	−	0.000465025i
$185$	16.9906	+	13.5496i	1.24918	+	0.996185i
$186$	9.40222	+	5.47206i	0.689404	+	0.401231i
$187$	19.5180	+	24.4748i	1.42730	+	1.78978i
$188$	12.0071	−	10.9865i	0.875706	−	0.801274i
$189$	2.13762	+	1.55903i	0.155489	+	0.113403i
$190$	10.6727	−	18.3380i	0.774278	−	1.33038i
$191$	3.35754	−	6.97200i	0.242943	−	0.504476i	−0.743468	−	0.668771i	$-0.766821\pi$
$191$	3.35754	−	6.97200i	0.242943	−	0.504476i	0.986411	+	0.164295i	$0.0525348\pi$
$192$	−4.85633	−	6.35737i	−0.350475	−	0.458803i
$193$	15.8776	+	7.64625i	1.14290	+	0.550389i	0.906892	−	0.421363i	$-0.138448\pi$
$193$	15.8776	+	7.64625i	1.14290	+	0.550389i	0.236003	+	0.971752i	$0.424162\pi$
$194$	0.250754	−	3.19685i	0.0180031	−	0.229520i
$195$	−8.89982			−0.637329
$196$	4.06820	−	13.3959i	0.290586	−	0.956849i
$197$	−10.9029			−0.776800			−0.388400	−	0.921491i	$-0.626972\pi$
$197$	−10.9029			−0.776800			−0.388400	+	0.921491i	$0.626972\pi$
$198$	0.684347	−	8.72470i	0.0486345	−	0.620037i
$199$	17.6254	+	8.48793i	1.24943	+	0.601694i	0.937359	−	0.348365i	$-0.113263\pi$
$199$	17.6254	+	8.48793i	1.24943	+	0.601694i	0.312071	+	0.950059i	$0.398977\pi$
$200$	8.87891	+	18.9402i	0.627833	+	1.33928i
$201$	−1.90094	+	3.94735i	−0.134082	+	0.278425i
$202$	−7.53998	+	12.9554i	−0.530511	+	0.911536i
$203$	−0.372798	−	0.695810i	−0.0261653	−	0.0488363i
$204$	−6.82983	−	7.46426i	−0.478183	−	0.522603i
$205$	−10.8626	−	13.6212i	−0.758675	−	0.951348i
$206$	9.21704	+	5.36429i	0.642182	+	0.373748i
$207$	0.167120	+	0.133274i	0.0116156	+	0.00926315i
$208$	5.57912	+	8.43276i	0.386842	+	0.584707i
$209$	−20.6171	−	16.4416i	−1.42612	−	1.13729i
$210$	−3.38178	+	12.7320i	−0.233365	+	0.878589i
$211$	−7.78056	+	6.20479i	−0.535636	+	0.427155i	−0.853586	−	0.520952i	$-0.825577\pi$
$211$	−7.78056	+	6.20479i	−0.535636	+	0.427155i	0.317950	+	0.948108i	$0.397006\pi$
$212$	0.495761	+	7.29614i	0.0340490	+	0.501101i
$213$	−10.9937	−	2.50925i	−0.753279	−	0.171931i
$214$	6.20312	−	4.19769i	0.424036	−	0.286948i
$215$	−32.4300			−2.21170
$216$	−0.0295101	+	2.82827i	−0.00200791	+	0.192440i
$217$	−15.3510	+	13.3625i	−1.04209	+	0.907105i
$218$	14.2412	−	15.2417i	0.964533	−	1.03230i
$219$	9.29594	−	2.12174i	0.628161	−	0.143374i
$220$	41.7269	−	12.5539i	2.81323	−	0.846382i
$221$	7.97286	+	9.99766i	0.536313	+	0.672515i
$222$	−5.95961	+	6.37830i	−0.399983	+	0.428083i
$223$	0.853149	+	3.73789i	0.0571311	+	0.250308i	0.995427	−	0.0955260i	$-0.0304533\pi$
$223$	0.853149	+	3.73789i	0.0571311	+	0.250308i	−0.938296	+	0.345834i	$0.887596\pi$
$224$	14.1838	−	4.77711i	0.947693	−	0.319184i
$225$	1.64569	−	7.21025i	0.109713	−	0.480683i
$226$	11.1846	+	16.5281i	0.743991	+	1.09943i
$227$	−2.05607			−0.136466			−0.0682332	−	0.997669i	$-0.521736\pi$
$227$	−2.05607			−0.136466			−0.0682332	+	0.997669i	$0.521736\pi$
$228$	7.00823	+	4.84988i	0.464131	+	0.321191i
$229$	−7.02861	−	14.5951i	−0.464464	−	0.964468i	−0.993280	−	0.115733i	$-0.963078\pi$
$229$	−7.02861	−	14.5951i	−0.464464	−	0.964468i	0.528817	−	0.848736i	$-0.322636\pi$
$230$	−0.317243	+	1.01592i	−0.0209184	+	0.0669878i
$231$	15.0433	+	6.46224i	0.989774	+	0.425184i
$232$	0.374063	−	0.756456i	0.0245584	−	0.0496638i
$233$	−5.60099	+	24.5395i	−0.366933	+	1.60764i	0.368221	+	0.929738i	$0.379967\pi$
$233$	−5.60099	+	24.5395i	−0.366933	+	1.60764i	−0.735154	+	0.677900i	$0.762890\pi$
$234$	0.279547	−	3.56393i	0.0182746	−	0.232981i
$235$	−12.4308	−	25.8127i	−0.810893	−	1.68384i
$236$	1.87422	−	0.563875i	0.122002	−	0.0367051i
$237$	4.54096	−	9.42939i	0.294967	−	0.612505i
$238$	17.3321	−	7.60693i	1.12347	−	0.493084i
$239$	9.68989	+	20.1213i	0.626787	+	1.30154i	0.936487	+	0.350702i	$0.114057\pi$
$239$	9.68989	+	20.1213i	0.626787	+	1.30154i	−0.309701	+	0.950834i	$0.600229\pi$
$240$	−13.1798	+	4.96223i	−0.850752	+	0.320311i
$241$	−17.6854	+	4.03657i	−1.13922	+	0.260018i	−0.750199	−	0.661212i	$-0.770042\pi$
$241$	−17.6854	+	4.03657i	−1.13922	+	0.260018i	−0.389016	+	0.921231i	$0.627185\pi$
$242$	−5.62025	−	38.1887i	−0.361284	−	2.45486i
$243$	0.623490	−	0.781831i	0.0399969	−	0.0501545i
$244$	16.0453	+	6.42649i	1.02720	+	0.411414i
$245$	−20.5187	−	13.6518i	−1.31089	−	0.872184i
$246$	5.79582	−	3.92206i	0.369528	−	0.250062i
$247$	−8.42184	−	6.71619i	−0.535869	−	0.427341i
$248$	−21.1601	−	5.06251i	−1.34367	−	0.321469i
$249$	0.199125	+	0.872422i	0.0126190	+	0.0552875i
$250$	11.8012	−	1.73679i	0.746371	−	0.109844i
$251$	1.97902	−	0.953048i	0.124915	−	0.0601559i	−0.370382	−	0.928879i	$-0.620773\pi$
$251$	1.97902	−	0.953048i	0.124915	−	0.0601559i	0.495297	+	0.868723i	$0.335059\pi$
$252$	−4.99229	−	1.75415i	−0.314485	−	0.110501i
$253$	1.19177	+	0.573925i	0.0749258	+	0.0360824i
$254$	−9.48785	−	2.96279i	−0.595321	−	0.185902i
$255$	−16.0466	+	7.72765i	−1.00488	+	0.483924i
$256$	12.9640	+	9.37740i	0.810248	+	0.586087i
$257$	15.8276	+	3.61256i	0.987301	+	0.225345i	0.685537	−	0.728037i	$-0.259567\pi$
$257$	15.8276	+	3.61256i	0.987301	+	0.225345i	0.301764	+	0.953383i	$0.402424\pi$
$258$	1.01864	−	12.9866i	0.0634177	−	0.808508i
$259$	−7.71249	−	14.3950i	−0.479231	−	0.894462i
$260$	17.0449	−	5.12810i	1.05708	−	0.318031i
$261$	−0.268813	+	0.129453i	−0.0166391	+	0.00801297i
$262$	15.7928	−	6.13491i	0.975681	−	0.379016i
$263$		−	4.63804i		−	0.285994i	−0.989723	−	0.142997i	$-0.954326\pi$
$263$		−	4.63804i		−	0.285994i	0.989723	−	0.142997i	$-0.0456739\pi$
$264$	3.71653	+	17.1039i	0.228737	+	1.05267i
$265$	12.5508	+	2.86463i	0.770988	+	0.175973i
$266$	−12.8083	+	9.49613i	−0.785325	+	0.582245i
$267$	−4.20276	+	0.959253i	−0.257205	+	0.0587053i
$268$	1.36621	−	8.65529i	0.0834547	−	0.528706i
$269$	−10.6242	+	8.47252i	−0.647769	+	0.516578i	−0.891358	−	0.453300i	$-0.850247\pi$
$269$	−10.6242	+	8.47252i	−0.647769	+	0.516578i	0.243589	+	0.969879i	$0.421675\pi$
$270$	4.75275	+	1.48415i	0.289243	+	0.0903226i
$271$	−4.64608	−	20.3558i	−0.282229	−	1.23653i	−0.894928	−	0.446211i	$-0.852773\pi$
$271$	−4.64608	−	20.3558i	−0.282229	−	1.23653i	0.612698	−	0.790317i	$-0.290084\pi$
$272$	17.3814	+	10.3602i	1.05390	+	0.628179i
$273$	6.14499	+	2.63974i	0.371912	+	0.159765i
$274$	3.76803	−	1.46374i	0.227635	−	0.0884279i
$275$		−	45.7662i		−	2.75981i
$276$	−0.396860	−	0.158951i	−0.0238882	−	0.00956770i
$277$	3.50719	−	15.3660i	0.210726	−	0.923252i	−0.753348	−	0.657622i	$-0.771563\pi$
$277$	3.50719	−	15.3660i	0.210726	−	0.923252i	0.964075	−	0.265631i	$-0.0855802\pi$
$278$	−18.6067	−	10.8290i	−1.11595	−	0.649481i
$279$	4.79612	+	6.01414i	0.287136	+	0.360057i
$280$	−0.859401	−	26.3329i	−0.0513590	−	1.57369i
$281$	0.494057	−	0.619528i	0.0294730	−	0.0369580i	−0.766877	−	0.641795i	$-0.778190\pi$
$281$	0.494057	−	0.619528i	0.0294730	−	0.0369580i	0.796350	+	0.604837i	$0.206762\pi$
$282$	10.7272	−	4.16710i	0.638793	−	0.248147i
$283$	9.58635	−	12.0209i	0.569849	−	0.714569i	−0.410495	−	0.911863i	$-0.634644\pi$
$283$	9.58635	−	12.0209i	0.569849	−	0.714569i	0.980344	+	0.197294i	$0.0632155\pi$
$284$	22.5010	−	1.52891i	1.33519	−	0.0907241i
$285$	11.7299	−	9.35432i	0.694822	−	0.554102i
$286$	−3.22105	−	21.8865i	−0.190464	−	1.29417i
$287$	3.46005	+	12.6269i	0.204240	+	0.745340i
$288$	−1.57314	−	5.43371i	−0.0926982	−	0.320185i
$289$	7.73972	+	3.72725i	0.455278	+	0.219250i
$290$	−1.08547	−	1.01422i	−0.0637411	−	0.0595570i
$291$	0.983812	−	2.04291i	0.0576721	−	0.119757i
$292$	−16.5810	+	9.41989i	−0.970331	+	0.551258i
$293$			30.8183i			1.80042i	0.435451	+	0.900212i	$0.356589\pi$
$293$			30.8183i			1.80042i	−0.435451	+	0.900212i	$0.643411\pi$
$294$	6.11138	−	7.78788i	0.356423	−	0.454198i
$295$		−	3.44542i		−	0.200600i
$296$	7.73865	−	15.6497i	0.449800	−	0.909618i
$297$	2.68498	−	5.57541i	0.155798	−	0.323518i
$298$	−17.0596	+	18.2581i	−0.988237	+	1.05767i
$299$	0.486822	+	0.234441i	0.0281537	+	0.0135581i
$300$	1.00274	+	14.7573i	0.0578930	+	0.852014i
$301$	22.3916	+	9.61893i	1.29063	+	0.554426i
$302$	19.1175	−	2.81353i	1.10009	−	0.161901i
$303$	−8.28691	+	6.60859i	−0.476071	+	0.379654i
$304$	−16.2167	−	5.25032i	−0.930090	−	0.301127i
$305$	18.9710	−	23.7889i	1.08628	−	1.36215i
$306$	−2.59050	−	6.66860i	−0.148089	−	0.381218i
$307$	−4.87556	+	6.11375i	−0.278263	+	0.348930i	−0.901248	−	0.433303i	$-0.857348\pi$
$307$	−4.87556	+	6.11375i	−0.278263	+	0.348930i	0.622986	+	0.782233i	$0.285919\pi$
$308$	−32.5344	−	3.70851i	−1.85382	−	0.211312i
$309$	4.70166	+	5.89569i	0.267468	+	0.335394i
$310$	−19.2658	+	33.1029i	−1.09422	+	1.88012i
$311$	−1.16941	+	5.12353i	−0.0663113	+	0.290529i	−0.997201	−	0.0747727i	$-0.976177\pi$
$311$	−1.16941	+	5.12353i	−0.0663113	+	0.290529i	0.930889	+	0.365301i	$0.119034\pi$
$312$	1.51816	+	6.98672i	0.0859488	+	0.395545i
$313$			22.3959i			1.26589i	0.774197	+	0.632945i	$0.218154\pi$
$313$			22.3959i			1.26589i	−0.774197	+	0.632945i	$0.781846\pi$
$314$	−6.88589	−	17.7260i	−0.388593	−	1.00034i
$315$	−5.48896	+	7.52603i	−0.309268	+	0.424044i
$316$	−3.26360	+	20.6757i	−0.183592	+	1.16310i
$317$	2.42546	+	10.6267i	0.136228	+	0.596852i	0.996244	+	0.0865865i	$0.0275959\pi$
$317$	2.42546	+	10.6267i	0.136228	+	0.596852i	−0.860017	+	0.510266i	$0.829547\pi$
$318$	−1.54137	+	4.93598i	−0.0864356	+	0.276796i
$319$	−1.44351	+	1.15116i	−0.0808212	+	0.0644528i
$320$	22.3827	−	17.0979i	1.25123	−	0.955802i
$321$	5.16340	−	1.17851i	0.288193	−	0.0657782i
$322$	0.520373	−	0.607358i	0.0289993	−	0.0338467i
$323$	−21.0164	−	4.79686i	−1.16939	−	0.266905i
$324$	−0.743614	+	1.85662i	−0.0413119	+	0.103146i
$325$		−	18.6949i		−	1.03701i
$326$	9.60661	+	24.7298i	0.532061	+	1.36966i
$327$	13.2892	−	6.39974i	0.734894	−	0.353906i
$328$	−8.84025	+	10.8511i	−0.488121	+	0.599152i
$329$	0.926741	+	21.5097i	0.0510929	+	1.18587i
$330$	30.7175	+	2.40942i	1.69094	+	0.132634i
$331$	3.91522	+	0.893624i	0.215200	+	0.0491180i	0.328762	−	0.944413i	$-0.393369\pi$
$331$	3.91522	+	0.893624i	0.215200	+	0.0491180i	−0.113561	+	0.993531i	$0.536226\pi$
$332$	−0.884055	−	1.55613i	−0.0485188	−	0.0854035i
$333$	−5.56123	+	2.67815i	−0.304754	+	0.146762i
$334$	−5.56234	+	17.8125i	−0.304358	+	0.974655i
$335$	−13.8976	−	6.69274i	−0.759308	−	0.365664i
$336$	10.5720	+	0.482980i	0.576749	+	0.0263487i
$337$	6.86687	−	3.30691i	0.374062	−	0.180139i	−0.237401	−	0.971412i	$-0.576295\pi$
$337$	6.86687	−	3.30691i	0.374062	−	0.180139i	0.611463	+	0.791273i	$0.290581\pi$
$338$	1.36111	+	9.24851i	0.0740346	+	0.503053i
$339$	3.14012	+	13.7578i	0.170548	+	0.747219i
$340$	26.2798	−	24.0461i	1.42522	−	1.30408i
$341$	37.2169	+	29.6795i	2.01541	+	1.60724i
$342$	3.37749	+	4.99108i	0.182634	+	0.269887i
$343$	10.1181	+	15.5120i	0.546327	+	0.837572i
$344$	5.53200	+	25.4588i	0.298265	+	1.37265i
$345$	−0.469223	+	0.588386i	−0.0252621	+	0.0316777i
$346$	13.0593	−	1.92195i	0.702074	−	0.103325i
$347$	1.07666	−	0.245740i	0.0577980	−	0.0131920i	−0.193524	−	0.981096i	$-0.561992\pi$
$347$	1.07666	−	0.245740i	0.0577980	−	0.0131920i	0.251322	+	0.967903i	$0.419135\pi$
$348$	0.440239	−	0.402820i	0.0235993	−	0.0215934i
$349$	1.45029	+	3.01155i	0.0776320	+	0.161205i	0.936172	−	0.351542i	$-0.114342\pi$
$349$	1.45029	+	3.01155i	0.0776320	+	0.161205i	−0.858540	+	0.512746i	$0.828628\pi$
$350$	−26.7447	−	7.10377i	−1.42957	−	0.379712i
$351$	1.09678	−	2.27749i	0.0585418	−	0.121563i
$352$	−16.9732	−	30.6158i	−0.904674	−	1.63183i
$353$	−9.51137	−	19.7506i	−0.506239	−	1.05122i	−0.984885	−	0.173209i	$-0.944587\pi$
$353$	−9.51137	−	19.7506i	−0.506239	−	1.05122i	0.478646	−	0.878008i	$-0.341128\pi$
$354$	1.37972	+	0.108222i	0.0733312	+	0.00575195i
$355$	8.83444	−	38.7062i	0.468883	−	2.05431i
$356$	7.49640	−	4.25880i	0.397309	−	0.225716i
$357$	13.3717	−	0.576114i	0.707703	−	0.0304912i
$358$	22.4283	+	7.00372i	1.18537	+	0.370158i
$359$	4.00681	+	8.32022i	0.211471	+	0.439124i	0.979542	−	0.201241i	$-0.0644973\pi$
$359$	4.00681	+	8.32022i	0.211471	+	0.439124i	−0.768071	+	0.640365i	$0.778783\pi$
$360$	−9.95764	−	0.103898i	−0.524814	−	0.00547589i
$361$	−0.840853			−0.0442554
$362$	9.39331	−	6.35651i	0.493701	−	0.334091i
$363$	6.07356	−	26.6100i	0.318779	−	1.39666i
$364$	−13.2899	−	1.51488i	−0.696580	−	0.0794012i
$365$	7.47010	+	32.7287i	0.391003	+	1.71310i
$366$	8.93037	+	8.34415i	0.466798	+	0.436156i
$367$	14.4370	+	18.1035i	0.753606	+	0.944992i	0.999706	−	0.0242521i	$-0.00772044\pi$
$367$	14.4370	+	18.1035i	0.753606	+	0.944992i	−0.246100	+	0.969245i	$0.579149\pi$
$368$	0.851654	+	0.0757501i	0.0443955	+	0.00394875i
$369$	4.82437	−	1.10113i	0.251147	−	0.0573226i
$370$	−22.4564	−	20.9823i	−1.16745	−	1.09082i
$371$	−7.81617	−	5.70056i	−0.405795	−	0.295959i
$372$	−12.6509	−	8.75474i	−0.655918	−	0.453912i
$373$	8.38044			0.433923			0.216961	−	0.976180i	$-0.430385\pi$
$373$	8.38044			0.433923			0.216961	+	0.976180i	$0.430385\pi$
$374$	−24.8115	−	36.6651i	−1.28297	−	1.89591i
$375$	8.22309	+	1.87687i	0.424639	+	0.0969210i
$376$	−18.1436	+	14.1619i	−0.935682	+	0.730342i
$377$	−0.589657	+	0.470236i	−0.0303689	+	0.0242184i
$378$	−2.84139	−	2.43445i	−0.146145	−	0.125214i
$379$	−24.1878	−	19.2892i	−1.24245	−	0.990818i	−0.999786	−	0.0207067i	$-0.993408\pi$
$379$	−24.1878	−	19.2892i	−1.24245	−	0.990818i	−0.242661	−	0.970111i	$-0.578020\pi$
$380$	−17.0752	+	24.6742i	−0.875939	+	1.26576i
$381$	−5.49504	−	4.38215i	−0.281519	−	0.224504i
$382$	−5.50476	+	9.45840i	−0.281648	+	0.483934i
$383$	18.9587	+	23.7735i	0.968745	+	1.21477i	0.976658	+	0.214799i	$0.0689097\pi$
$383$	18.9587	+	23.7735i	0.968745	+	1.21477i	−0.00791323	+	0.999969i	$0.502519\pi$
$384$	6.14380	+	9.50020i	0.313524	+	0.484805i
$385$	−22.7519	+	52.9636i	−1.15955	+	2.69927i
$386$	−21.5400	−	12.5362i	−1.09636	−	0.638076i
$387$	3.99654	−	8.29891i	0.203156	−	0.421857i
$388$	−0.707068	+	4.47945i	−0.0358959	+	0.227410i
$389$	−1.21318	−	0.584236i	−0.0615106	−	0.0296219i	0.402876	−	0.915255i	$-0.368011\pi$
$389$	−1.21318	−	0.584236i	−0.0615106	−	0.0296219i	−0.464386	+	0.885633i	$0.653725\pi$
$390$	12.5477	+	0.984216i	0.635378	+	0.0498377i
$391$	1.08132			0.0546846
$392$	−7.21711	+	18.4367i	−0.364519	+	0.931196i
$393$	11.9802			0.604320
$394$	15.3718	+	1.20573i	0.774421	+	0.0607440i
$395$	33.1985	+	15.9876i	1.67040	+	0.804422i
$396$	−1.92970	+	12.2251i	−0.0969711	+	0.614335i
$397$	11.2379	−	23.3358i	0.564016	−	1.17119i	−0.402698	−	0.915333i	$-0.631927\pi$
$397$	11.2379	−	23.3358i	0.564016	−	1.17119i	0.966714	−	0.255859i	$-0.0823582\pi$
$398$	−23.9110	−	13.9162i	−1.19855	−	0.697554i
$399$	−10.8736	+	2.97962i	−0.544362	+	0.149168i
$400$	−10.4236	−	27.6854i	−0.521182	−	1.38427i
$401$	−8.43482	−	10.5769i	−0.421215	−	0.528187i	0.525270	−	0.850936i	$-0.323964\pi$
$401$	−8.43482	−	10.5769i	−0.421215	−	0.528187i	−0.946485	+	0.322749i	$0.895393\pi$
$402$	3.11664	−	5.35508i	0.155444	−	0.267087i
$403$	15.2027	+	12.1237i	0.757298	+	0.603925i
$404$	12.0632	−	17.4317i	0.600167	−	0.867260i
$405$	2.75263	+	2.19515i	0.136779	+	0.109078i
$406$	0.448653	+	1.02224i	0.0222663	+	0.0507328i
$407$	−29.8636	+	23.8154i	−1.48028	+	1.18049i
$408$	8.80379	+	11.2790i	0.435853	+	0.558396i
$409$	−37.0781	−	8.46284i	−1.83340	−	0.418460i	−0.840946	−	0.541119i	$-0.818001\pi$
$409$	−37.0781	−	8.46284i	−1.83340	−	0.418460i	−0.992449	+	0.122658i	$0.960858\pi$
$410$	13.8086	+	20.4056i	0.681958	+	1.00776i
$411$	2.85838			0.140993
$412$	−12.4017	−	8.58232i	−0.610989	−	0.422820i
$413$	−1.02193	+	2.37893i	−0.0502861	+	0.117060i
$414$	−0.220881	−	0.206382i	−0.0108557	−	0.0101431i
$415$	−3.07158	+	0.701068i	−0.150778	+	0.0344141i
$416$	−6.93334	−	12.5062i	−0.339935	−	0.613166i
$417$	−9.49134	−	11.9018i	−0.464793	−	0.582832i
$418$	27.2495	+	25.4608i	1.33282	+	1.24533i
$419$	−3.63101	−	15.9085i	−0.177386	−	0.777181i	−0.982831	−	0.184509i	$-0.940930\pi$
$419$	−3.63101	−	15.9085i	−0.177386	−	0.777181i	0.805444	−	0.592671i	$-0.201927\pi$
$420$	6.17593	−	17.5766i	0.301354	−	0.857650i
$421$	−0.000377321		0.00165315i	−1.83895e−5		8.05697e-5i	−0.974937	−	0.222481i	$-0.928585\pi$
$421$	−0.000377321		0.00165315i	−1.83895e−5		8.05697e-5i	0.974919	+	0.222561i	$0.0714417\pi$
$422$	11.6559	−	7.88759i	0.567398	−	0.383962i
$423$	8.13746			0.395657
$424$	0.107903	−	10.3415i	0.00524024	−	0.502229i
$425$	−16.2327	−	33.7075i	−0.787400	−	1.63505i
$426$	15.2224	+	4.75353i	0.737527	+	0.230309i
$427$	−20.1547	+	10.7984i	−0.975354	+	0.522571i
$428$	−9.20989	+	5.23226i	−0.445177	+	0.252911i
$429$	3.48084	−	15.2506i	0.168057	−	0.736304i
$430$	45.7224	+	3.58637i	2.20493	+	0.172950i
$431$	−4.61515	−	9.58345i	−0.222304	−	0.461618i	0.759751	−	0.650214i	$-0.225321\pi$
$431$	−4.61515	−	9.58345i	−0.222304	−	0.461618i	−0.982055	+	0.188596i	$0.939606\pi$
$432$	0.354380	−	3.98427i	0.0170501	−	0.191693i
$433$	11.3734	−	23.6170i	0.546569	−	1.13496i	−0.426509	−	0.904483i	$-0.640257\pi$
$433$	11.3734	−	23.6170i	0.546569	−	1.13496i	0.973077	−	0.230478i	$-0.0740290\pi$
$434$	23.1208	−	17.1419i	1.10983	−	0.822838i
$435$	−0.455773	−	0.946423i	−0.0218527	−	0.0453775i
$436$	−21.7639	+	19.9140i	−1.04230	+	0.953710i
$437$	−0.888044	+	0.202690i	−0.0424809	+	0.00969599i
$438$	−13.3408	+	1.96338i	−0.637449	+	0.0938139i
$439$	−6.13560	+	7.69379i	−0.292836	+	0.367205i	−0.906386	−	0.422452i	$-0.861170\pi$
$439$	−6.13560	+	7.69379i	−0.292836	+	0.367205i	0.613550	+	0.789656i	$0.289741\pi$
$440$	−60.2184	+	13.0850i	−2.87080	+	0.623802i
$441$	6.02218	−	3.56838i	0.286771	−	0.169923i
$442$	−10.1352	−	14.9772i	−0.482081	−	0.712394i
$443$	−0.861600	−	0.687103i	−0.0409358	−	0.0326452i	0.602808	−	0.797886i	$-0.294048\pi$
$443$	−0.861600	−	0.687103i	−0.0409358	−	0.0326452i	−0.643744	+	0.765241i	$0.722620\pi$
$444$	9.10772	−	8.33359i	0.432233	−	0.395495i
$445$	−3.37729	−	14.7969i	−0.160099	−	0.701439i
$446$	−0.789473	−	5.36433i	−0.0373826	−	0.254009i
$447$	−15.9193	+	7.66631i	−0.752955	+	0.362604i
$448$	−20.5257	+	5.16660i	−0.969750	+	0.244099i
$449$	−31.4015	−	15.1221i	−1.48193	−	0.713658i	−0.494127	−	0.869390i	$-0.664512\pi$
$449$	−31.4015	−	15.1221i	−1.48193	−	0.713658i	−0.987799	+	0.155731i	$0.950227\pi$
$450$	−3.11760	+	9.98361i	−0.146965	+	0.470632i
$451$	27.5896	−	13.2864i	1.29914	−	0.625634i
$452$	−13.9412	−	24.5395i	−0.655740	−	1.15424i
$453$	13.3211	+	3.04046i	0.625881	+	0.142853i
$454$	2.89883	+	0.227378i	0.136049	+	0.0106714i
$455$	−9.29388	+	21.6350i	−0.435704	+	1.01426i
$456$	−9.34444	−	7.61279i	−0.437594	−	0.356502i
$457$	28.6222	−	13.7837i	1.33889	−	0.644774i	0.379062	−	0.925371i	$-0.376247\pi$
$457$	28.6222	−	13.7837i	1.33889	−	0.644774i	0.959826	+	0.280597i	$0.0905324\pi$
$458$	8.29547	+	21.3546i	0.387622	+	0.997835i
$459$		−	5.05870i		−	0.236120i
$460$	0.559625	−	1.39725i	0.0260927	−	0.0651469i
$461$	−23.6318	−	5.39381i	−1.10064	−	0.251215i	−0.366642	−	0.930362i	$-0.619493\pi$
$461$	−23.6318	−	5.39381i	−1.10064	−	0.251215i	−0.734002	+	0.679147i	$0.762350\pi$
$462$	−20.4946	−	10.7746i	−0.953495	−	0.501280i
$463$	−28.1649	+	6.42846i	−1.30893	+	0.298756i	−0.819397	−	0.573226i	$-0.805692\pi$
$463$	−28.1649	+	6.42846i	−1.30893	+	0.298756i	−0.489538	+	0.871982i	$0.662834\pi$
$464$	−0.611040	+	1.02515i	−0.0283668	+	0.0475913i
$465$	−21.1743	+	16.8859i	−0.981933	+	0.783066i
$466$	10.6105	−	33.9785i	0.491523	−	1.57402i
$467$	−3.15427	−	13.8198i	−0.145962	−	0.639503i	−0.993982	−	0.109539i	$-0.965063\pi$
$467$	−3.15427	−	13.8198i	−0.145962	−	0.639503i	0.848020	−	0.529964i	$-0.177795\pi$
$468$	−0.788258	+	4.99381i	−0.0364373	+	0.230839i
$469$	7.61067	+	8.74321i	0.351428	+	0.403724i
$470$	14.6713	+	37.7676i	0.676738	+	1.74209i
$471$		−	13.4467i		−	0.619590i
$472$	−2.70479	+	0.587730i	−0.124498	+	0.0270525i
$473$	12.6838	−	55.5714i	0.583202	−	2.55517i
$474$	−7.44500	+	12.7922i	−0.341960	+	0.587564i
$475$	19.6496	+	24.6399i	0.901588	+	1.13056i
$476$	−25.2774	+	8.80816i	−1.15859	+	0.403721i
$477$	−2.27978	+	2.85875i	−0.104384	+	0.130893i
$478$	−11.4364	−	29.4402i	−0.523090	−	1.34656i
$479$	−2.73832	+	3.43375i	−0.125117	+	0.156892i	−0.840445	−	0.541897i	$-0.817706\pi$
$479$	−2.73832	+	3.43375i	−0.125117	+	0.156892i	0.715327	+	0.698789i	$0.246278\pi$
$480$	19.1307	−	5.53864i	0.873195	−	0.252803i
$481$	−12.1989	+	9.72830i	−0.556222	+	0.443572i
$482$	25.3807	−	3.73530i	1.15606	−	0.170138i
$483$	0.498500	−	0.267084i	0.0226825	−	0.0121527i
$484$	3.70068	+	54.4631i	0.168213	+	2.47559i
$485$	7.19256	+	3.46375i	0.326597	+	0.157281i
$486$	−0.965509	+	1.03334i	−0.0437964	+	0.0468733i
$487$	−11.4898	+	23.8588i	−0.520651	+	1.08114i	0.460457	+	0.887682i	$0.347686\pi$
$487$	−11.4898	+	23.8588i	−0.520651	+	1.08114i	−0.981108	+	0.193461i	$0.938029\pi$
$488$	−21.9114	−	10.8350i	−0.991881	−	0.490478i
$489$			18.7597i			0.848341i
$490$	27.4192	+	21.5166i	1.23867	+	0.972022i
$491$		−	1.48410i		−	0.0669766i	−0.999439	−	0.0334883i	$-0.989338\pi$
$491$		−	1.48410i		−	0.0669766i	0.999439	−	0.0334883i	$-0.0106617\pi$
$492$	−8.60516	+	4.88870i	−0.387951	+	0.220400i
$493$	−0.654866	+	1.35984i	−0.0294937	+	0.0612443i
$494$	11.1311	+	10.4004i	0.500811	+	0.467936i
$495$	19.6296	+	9.45313i	0.882286	+	0.424887i
$496$	29.2735	+	9.47761i	1.31442	+	0.425557i
$497$	−17.5804	+	24.1048i	−0.788587	+	1.08125i
$498$	−0.184263	−	1.25203i	−0.00825701	−	0.0561050i
$499$	−9.89181	+	7.88845i	−0.442818	+	0.353136i	−0.819375	−	0.573258i	$-0.805679\pi$
$499$	−9.89181	+	7.88845i	−0.442818	+	0.353136i	0.376557	+	0.926393i	$0.377108\pi$
$500$	−16.8303	+	1.14359i	−0.752675	+	0.0511430i
$501$	−8.22704	+	10.3164i	−0.367557	+	0.460902i
$502$	−2.89559	+	1.12483i	−0.129236	+	0.0502036i
$503$	12.8301	−	16.0884i	0.572066	−	0.717348i	−0.408671	−	0.912682i	$-0.634008\pi$
$503$	12.8301	−	16.0884i	0.572066	−	0.717348i	0.980737	+	0.195334i	$0.0625791\pi$
$504$	6.84456	+	3.02524i	0.304881	+	0.134755i
$505$	−23.2672	−	29.1761i	−1.03538	−	1.29832i
$506$	−1.61678	−	0.940963i	−0.0718748	−	0.0418309i
$507$	−1.47089	+	6.44440i	−0.0653246	+	0.286206i
$508$	13.0491	+	5.22643i	0.578960	+	0.231885i
$509$		−	37.9543i		−	1.68230i	−0.540804	−	0.841148i	$-0.681880\pi$
$509$		−	37.9543i		−	1.68230i	0.540804	−	0.841148i	$-0.318120\pi$
$510$	23.4785	−	9.12051i	1.03964	−	0.403863i
$511$	4.54971	−	24.8136i	0.201267	−	1.09769i
$512$	−17.2406	−	14.6547i	−0.761936	−	0.647652i
$513$	0.948241	+	4.15451i	0.0418659	+	0.183426i
$514$	−21.9156	−	6.84364i	−0.966657	−	0.301860i
$515$	−20.7572	+	16.5534i	−0.914674	+	0.729428i
$516$	−2.87233	+	18.1969i	−0.126447	+	0.801073i
$517$	49.0940	−	11.2054i	2.15915	−	0.492813i
$518$	9.28179	+	21.1482i	0.407819	+	0.929198i
$519$	9.09979	+	2.07697i	0.399437	+	0.0911688i
$520$	−24.5985	+	5.34505i	−1.07871	+	0.234396i
$521$			1.87715i			0.0822396i	0.999154	+	0.0411198i	$0.0130925\pi$
$521$			1.87715i			0.0822396i	−0.999154	+	0.0411198i	$0.986907\pi$
$522$	0.393311	−	0.152787i	0.0172147	−	0.00668729i
$523$	−16.3211	+	7.85983i	−0.713672	+	0.343686i	−0.755239	−	0.655449i	$-0.772479\pi$
$523$	−16.3211	+	7.85983i	−0.713672	+	0.343686i	0.0415672	+	0.999136i	$0.486765\pi$
$524$	−22.9444	+	6.90301i	−1.00233	+	0.301559i
$525$	−15.8091	−	11.5301i	−0.689968	−	0.503214i
$526$	−0.512913	+	6.53909i	−0.0223641	+	0.285118i
$527$	37.9378	+	8.65905i	1.65259	+	0.377194i
$528$	−3.34839	−	24.5254i	−0.145720	−	1.06733i
$529$	−20.6811	+	9.95950i	−0.899179	+	0.433022i
$530$	−17.3783	−	5.42677i	−0.754867	−	0.235724i
$531$	0.881692	+	0.424601i	0.0382622	+	0.0184261i
$532$	19.1083	−	11.9720i	0.828450	−	0.519052i
$533$	11.2700	−	5.42735i	0.488158	−	0.235085i
$534$	6.03149	−	0.887658i	0.261008	−	0.0384127i
$535$	4.14925	+	18.1790i	0.179388	+	0.785949i
$536$	−2.88337	+	12.0519i	−0.124543	+	0.520561i
$537$	12.9897	+	10.3589i	0.560546	+	0.447021i
$538$	15.9158	−	10.7703i	0.686181	−	0.464343i
$539$	31.4187	−	29.8210i	1.35330	−	1.28448i
$540$	−6.53669	−	2.61808i	−0.281294	−	0.112664i
$541$	−8.92332	+	11.1895i	−0.383644	+	0.481074i	−0.935732	−	0.352712i	$-0.885260\pi$
$541$	−8.92332	+	11.1895i	−0.383644	+	0.481074i	0.552088	+	0.833786i	$0.313831\pi$
$542$	4.29932	+	29.2131i	0.184671	+	1.25481i
$543$	7.81888	−	1.78461i	0.335540	−	0.0765849i
$544$	−23.3600	−	16.5288i	−1.00155	−	0.708668i
$545$	22.5319	+	46.7879i	0.965159	+	2.00417i
$546$	−8.37179	−	4.40129i	−0.358279	−	0.188358i
$547$	1.89726	−	3.93970i	0.0811209	−	0.168449i	−0.856463	−	0.516208i	$-0.827343\pi$
$547$	1.89726	−	3.93970i	0.0811209	−	0.168449i	0.937584	+	0.347759i	$0.113057\pi$
$548$	−5.47436	+	1.64700i	−0.233853	+	0.0703565i
$549$	3.74972	+	7.78638i	0.160034	+	0.332315i
$550$	−5.06121	+	64.5250i	−0.215811	+	2.75136i
$551$	0.282917	−	1.23954i	0.0120527	−	0.0528062i
$552$	0.541948	+	0.267990i	0.0230669	+	0.0114064i
$553$	−18.1803	−	20.8857i	−0.773105	−	0.888151i
$554$	−6.64402	+	21.2764i	−0.282277	+	0.903947i
$555$	−9.42909	−	19.5797i	−0.400243	−	0.831112i
$556$	25.0357	+	17.3253i	1.06175	+	0.734758i
$557$	−44.6983			−1.89393			−0.946964	−	0.321341i	$-0.895867\pi$
$557$	−44.6983			−1.89393			−0.946964	+	0.321341i	$0.895867\pi$
$558$	−6.09687	−	9.00963i	−0.258101	−	0.381408i
$559$	5.18118	−	22.7002i	0.219140	−	0.960117i
$560$	−1.70045	+	37.2213i	−0.0718572	+	1.57289i
$561$	−6.96590	−	30.5196i	−0.294100	−	1.28854i
$562$	−0.765076	+	0.818825i	−0.0322728	+	0.0345401i
$563$	−3.31849	−	4.16126i	−0.139858	−	0.175376i	0.706970	−	0.707244i	$-0.250062\pi$
$563$	−3.31849	−	4.16126i	−0.139858	−	0.175376i	−0.846827	+	0.531868i	$0.821490\pi$
$564$	−15.5849	+	4.68883i	−0.656241	+	0.197435i
$565$	−48.4376	+	11.0556i	−2.03779	+	0.465111i
$566$	−14.8450	+	15.8879i	−0.623982	+	0.667820i
$567$	−1.24949	−	2.33212i	−0.0524737	−	0.0979397i
$568$	−31.8929	−	0.332770i	−1.33820	−	0.0139627i
$569$	24.7289			1.03669			0.518345	−	0.855171i	$-0.326548\pi$
$569$	24.7289			1.03669			0.518345	+	0.855171i	$0.326548\pi$
$570$	−17.5723	+	11.8913i	−0.736024	+	0.498072i
$571$	32.2127	+	7.35235i	1.34806	+	0.307686i	0.834803	−	0.550548i	$-0.185581\pi$
$571$	32.2127	+	7.35235i	1.34806	+	0.307686i	0.513258	+	0.858234i	$0.328438\pi$
$572$	2.12091	+	31.2136i	0.0886797	+	1.30510i
$573$	−6.05008	+	4.82478i	−0.252746	+	0.201558i
$574$	−3.48188	−	18.1850i	−0.145331	−	0.759028i
$575$	−1.23596	−	0.985647i	−0.0515432	−	0.0411043i
$576$	1.61704	+	7.83487i	0.0673767	+	0.326453i
$577$	3.28634	+	2.62077i	0.136812	+	0.109104i	0.689505	−	0.724281i	$-0.257828\pi$
$577$	3.28634	+	2.62077i	0.136812	+	0.109104i	−0.552693	+	0.833385i	$0.686400\pi$
$578$	−10.4999	−	6.11091i	−0.436739	−	0.254180i
$579$	−10.9876	−	13.7781i	−0.456631	−	0.572597i
$580$	1.41823	+	1.54997i	0.0588887	+	0.0643590i
$581$	2.32875	+	0.426989i	0.0966128	+	0.0177145i
$582$	−1.61298	+	2.77146i	−0.0668602	+	0.114881i
$583$	−9.81757	+	20.3864i	−0.406602	+	0.844318i
$584$	24.4190	−	11.4473i	1.01047	−	0.473692i
$585$	8.01846	+	3.86149i	0.331523	+	0.159653i
$586$	3.40815	−	43.4502i	0.140789	−	1.79491i
$587$	−25.5188			−1.05327			−0.526637	−	0.850090i	$-0.676547\pi$
$587$	−25.5188			−1.05327			−0.526637	+	0.850090i	$0.676547\pi$
$588$	−9.47758	+	10.3042i	−0.390849	+	0.424936i
$589$	−32.7799			−1.35067
$590$	−0.381023	+	4.85764i	−0.0156865	+	0.199986i
$591$	9.82317	+	4.73059i	0.404071	+	0.194591i
$592$	−12.6413	+	21.2084i	−0.519553	+	0.871659i
$593$	−2.15252	+	4.46975i	−0.0883934	+	0.183551i	−0.940479	−	0.339852i	$-0.889623\pi$
$593$	−2.15252	+	4.46975i	−0.0883934	+	0.183551i	0.852086	+	0.523402i	$0.175337\pi$
$594$	−4.40208	+	7.56375i	−0.180620	+	0.310345i
$595$	2.02835	+	47.0782i	0.0831543	+	1.93002i
$596$	26.0712	−	23.8552i	1.06792	−	0.977148i
$597$	−12.1971	−	15.2947i	−0.499196	−	0.625971i
$598$	−0.660436	−	0.384372i	−0.0270072	−	0.0157181i
$599$	−31.7284	−	25.3025i	−1.29639	−	1.03383i	−0.996814	−	0.0797605i	$-0.974584\pi$
$599$	−31.7284	−	25.3025i	−1.29639	−	1.03383i	−0.299573	−	0.954073i	$-0.596844\pi$
$600$	0.218247	−	20.9170i	0.00890990	−	0.853932i
$601$	6.78844	+	5.41360i	0.276906	+	0.220825i	0.752089	−	0.659062i	$-0.229046\pi$
$601$	6.78844	+	5.41360i	0.276906	+	0.220825i	−0.475182	+	0.879887i	$0.657618\pi$
$602$	−30.5059	−	16.0378i	−1.24333	−	0.653653i
$603$	3.42538	−	2.73165i	0.139492	−	0.111241i
$604$	−27.2645	+	1.85258i	−1.10938	+	0.0753805i
$605$	93.6872	+	21.3835i	3.80892	+	0.869362i
$606$	12.4144	−	8.40091i	0.504301	−	0.341264i
$607$	−32.8584			−1.33368			−0.666841	−	0.745200i	$-0.732354\pi$
$607$	−32.8584			−1.33368			−0.666841	+	0.745200i	$0.732354\pi$
$608$	22.2830	+	9.19572i	0.903694	+	0.372936i
$609$	0.0339789	+	0.788654i	0.00137690	+	0.0319579i
$610$	−29.3777	+	31.4416i	−1.18947	+	1.27303i
$611$	20.0543	−	4.57727i	0.811311	−	0.185176i
$612$	2.91484	+	9.68842i	0.117825	+	0.391631i
$613$	2.72039	+	3.41126i	0.109876	+	0.137780i	0.833728	−	0.552175i	$-0.186202\pi$
$613$	2.72039	+	3.41126i	0.109876	+	0.137780i	−0.723853	+	0.689955i	$0.757630\pi$
$614$	7.55007	−	8.08050i	0.304696	−	0.326102i
$615$	3.87681	+	16.9854i	0.156328	+	0.684917i
$616$	45.4596	+	8.82649i	1.83162	+	0.355629i
$617$	2.00420	−	8.78098i	0.0806861	−	0.353509i	−0.918428	−	0.395588i	$-0.870541\pi$
$617$	2.00420	−	8.78098i	0.0806861	−	0.353509i	0.999114	+	0.0420788i	$0.0133981\pi$
$618$	−5.97679	−	8.83218i	−0.240422	−	0.355282i
$619$	−36.1230			−1.45191			−0.725953	−	0.687744i	$-0.758601\pi$
$619$	−36.1230			−1.45191			−0.725953	+	0.687744i	$0.758601\pi$
$620$	30.8232	−	44.5406i	1.23789	−	1.78879i
$621$	−0.0927444	−	0.192586i	−0.00372171	−	0.00772820i
$622$	2.21534	−	7.09425i	0.0888269	−	0.284454i
$623$	−2.05696	+	11.2184i	−0.0824103	+	0.449456i
$624$	−1.36778	−	10.0183i	−0.0547548	−	0.401055i
$625$	1.62048	−	7.09980i	0.0648193	−	0.283992i
$626$	2.47672	−	31.5756i	0.0989897	−	1.26201i
$627$	11.4416	+	23.7588i	0.456935	+	0.948836i
$628$	7.74801	+	25.7531i	0.309179	+	1.02766i
$629$	−13.5480	+	28.1326i	−0.540192	+	1.12172i
$630$	8.57108	−	10.0038i	0.341480	−	0.398561i
$631$	12.3525	+	25.6503i	0.491747	+	1.02112i	0.988216	+	0.153068i	$0.0489155\pi$
$631$	12.3525	+	25.6503i	0.491747	+	1.02112i	−0.496469	+	0.868055i	$0.665370\pi$
$632$	6.88778	−	28.7894i	0.273981	−	1.14518i
$633$	9.70220	−	2.21446i	0.385628	−	0.0880171i
$634$	−2.24444	−	15.2506i	−0.0891380	−	0.605677i
$635$	15.4284	−	19.3467i	0.612259	−	0.767749i
$636$	2.71901	−	6.78869i	0.107816	−	0.269189i
$637$	12.8341	−	12.1815i	0.508507	−	0.482648i
$638$	2.16249	−	1.46337i	0.0856138	−	0.0579354i
$639$	8.81630	+	7.03076i	0.348767	+	0.278133i
$640$	−33.4478	+	21.6308i	−1.32214	+	0.855032i
$641$	−2.06517	−	9.04812i	−0.0815695	−	0.357379i	0.917628	−	0.397441i	$-0.130102\pi$
$641$	−2.06517	−	9.04812i	−0.0815695	−	0.357379i	−0.999197	+	0.0400618i	$0.987245\pi$
$642$	−7.41012	+	1.09055i	−0.292454	+	0.0430407i
$643$	9.34194	−	4.49884i	0.368410	−	0.177417i	−0.240513	−	0.970646i	$-0.577316\pi$
$643$	9.34194	−	4.49884i	0.368410	−	0.177417i	0.608924	+	0.793229i	$0.291602\pi$
$644$	−0.800832	+	0.798756i	−0.0315572	+	0.0314754i
$645$	29.2184	+	14.0708i	1.15047	+	0.554038i
$646$	29.1002	+	9.08719i	1.14493	+	0.357531i
$647$	30.6904	−	14.7797i	1.20657	−	0.581051i	0.281025	−	0.959700i	$-0.409325\pi$
$647$	30.6904	−	14.7797i	1.20657	−	0.581051i	0.925540	+	0.378649i	$0.123611\pi$
$648$	1.25373	−	2.53538i	0.0492511	−	0.0995992i
$649$	5.90401	+	1.34755i	0.231753	+	0.0528960i
$650$	−2.06744	+	26.3577i	−0.0810917	+	1.03383i
$651$	19.6285	−	5.37866i	0.769302	−	0.210806i
$652$	−10.8094	−	35.9285i	−0.423328	−	1.40707i
$653$	−31.3793	+	15.1115i	−1.22797	+	0.591357i	−0.931519	−	0.363693i	$-0.881516\pi$
$653$	−31.3793	+	15.1115i	−1.22797	+	0.591357i	−0.296446	+	0.955050i	$0.595802\pi$
$654$	−19.4439	+	7.55325i	−0.760318	+	0.295355i
$655$			42.1792i			1.64808i
$656$	13.6637	−	14.3212i	0.533479	−	0.559147i
$657$	−9.29594	−	2.12174i	−0.362669	−	0.0827768i
$658$	1.07213	−	30.4287i	0.0417960	−	1.18623i
$659$	−39.7703	+	9.07732i	−1.54923	+	0.353602i	−0.909735	−	0.415190i	$-0.863715\pi$
$659$	−39.7703	+	9.07732i	−1.54923	+	0.353602i	−0.639498	+	0.768793i	$0.720858\pi$
$660$	−43.0416	−	6.79399i	−1.67539	−	0.264456i
$661$	−10.6002	+	8.45340i	−0.412301	+	0.328799i	−0.807576	−	0.589764i	$-0.799221\pi$
$661$	−10.6002	+	8.45340i	−0.412301	+	0.328799i	0.395275	+	0.918563i	$0.370649\pi$
$662$	−5.42118	−	1.69288i	−0.210700	−	0.0657958i
$663$	−2.84548	−	12.4669i	−0.110509	−	0.484173i
$664$	1.07433	+	2.29172i	0.0416919	+	0.0889360i
$665$	−10.4905	−	38.2833i	−0.406804	−	1.48456i
$666$	8.13686	−	3.16087i	0.315297	−	0.122481i
$667$			0.0637756i			0.00246940i
$668$	9.81210	−	24.4984i	0.379641	−	0.947871i
$669$	0.853149	−	3.73789i	0.0329846	−	0.144515i
$670$	18.8539	+	10.9729i	0.728389	+	0.423920i
$671$	33.3444	+	41.8125i	1.28725	+	1.61415i
$672$	−14.8518	−	1.85008i	−0.572922	−	0.0713685i
$673$	12.0319	−	15.0875i	0.463794	−	0.581579i	−0.493845	−	0.869550i	$-0.664409\pi$
$673$	12.0319	−	15.0875i	0.463794	−	0.581579i	0.957639	+	0.287970i	$0.0929805\pi$
$674$	−10.0472	+	3.90296i	−0.387003	+	0.150336i
$675$	−4.61113	+	5.78217i	−0.177482	+	0.222556i
$676$	−0.896228	−	13.1898i	−0.0344703	−	0.507301i
$677$	25.9444	−	20.6900i	0.997126	−	0.795181i	0.0182910	−	0.999833i	$-0.494177\pi$
$677$	25.9444	−	20.6900i	0.997126	−	0.795181i	0.978835	+	0.204651i	$0.0656060\pi$
$678$	−2.90575	−	19.7441i	−0.111595	−	0.758268i
$679$	−3.93882	−	4.52495i	−0.151158	−	0.173652i
$680$	−39.7107	+	30.9959i	−1.52283	+	1.18864i
$681$	1.85246	+	0.892098i	0.0709864	+	0.0341853i
$682$	−49.1893	−	45.9604i	−1.88356	−	1.75992i
$683$	−2.96545	+	6.15782i	−0.113470	+	0.235623i	−0.949968	−	0.312347i	$-0.898885\pi$
$683$	−2.96545	+	6.15782i	−0.113470	+	0.235623i	0.836498	+	0.547970i	$0.184599\pi$
$684$	−4.20991	−	7.41035i	−0.160970	−	0.283342i
$685$			10.0636i			0.384511i
$686$	−12.5499	−	22.9891i	−0.479158	−	0.877729i
$687$			16.1993i			0.618041i
$688$	−4.98402	−	36.5057i	−0.190014	−	1.39177i
$689$	−4.01035	+	8.32759i	−0.152782	+	0.317256i
$690$	0.726618	−	0.777666i	0.0276619	−	0.0296052i
$691$	−2.55900	−	1.23235i	−0.0973489	−	0.0468808i	0.384576	−	0.923093i	$-0.374348\pi$
$691$	−2.55900	−	1.23235i	−0.0973489	−	0.0468808i	−0.481925	+	0.876213i	$0.660062\pi$
$692$	−18.6247	+	1.26552i	−0.708004	+	0.0481077i
$693$	−10.7497	−	12.3493i	−0.408346	−	0.469111i
$694$	−1.54514	+	0.227399i	−0.0586526	+	0.00863195i
$695$	41.9031	−	33.4166i	1.58948	−	1.26757i
$696$	−0.665233	+	0.519244i	−0.0252156	+	0.0196819i
$697$	15.6076	−	19.5713i	0.591180	−	0.741317i
$698$	−1.71169	−	4.40632i	−0.0647885	−	0.166782i
$699$	15.6936	−	19.6792i	0.593587	−	0.744335i
$700$	36.9213	+	12.9731i	1.39550	+	0.490338i
$701$	21.3097	+	26.7216i	0.804858	+	1.00926i	0.999596	+	0.0284049i	$0.00904278\pi$
$701$	21.3097	+	26.7216i	0.804858	+	1.00926i	−0.194738	+	0.980855i	$0.562386\pi$
$702$	−1.79820	+	3.08970i	−0.0678685	+	0.116613i
$703$	5.85302	−	25.6438i	0.220751	−	0.967172i
$704$	20.5445	+	45.0418i	0.774299	+	1.69758i
$705$			28.6500i			1.07902i
$706$	11.2257	+	28.8978i	0.422486	+	1.08758i
$707$	7.41128	+	27.0462i	0.278730	+	1.01718i
$708$	−1.93327	−	0.305161i	−0.0726568	−	0.0114687i
$709$	−7.85237	−	34.4035i	−0.294902	−	1.29205i	−0.877613	−	0.479371i	$-0.840865\pi$
$709$	−7.85237	−	34.4035i	−0.294902	−	1.29205i	0.582711	−	0.812680i	$-0.301992\pi$
$710$	−16.7360	+	53.5942i	−0.628090	+	2.01136i
$711$	−8.18252	+	6.52534i	−0.306868	+	0.244719i
$712$	−11.0400	+	5.17540i	−0.413743	+	0.193956i
$713$	1.60305	−	0.365886i	0.0600347	−	0.0137025i
$714$	−18.9162	−	0.666496i	−0.707920	−	0.0249430i
$715$	53.6934	+	12.2552i	2.00802	+	0.458317i
$716$	−30.8467	−	12.3547i	−1.15279	−	0.461718i
$717$		−	22.3329i		−	0.834038i
$718$	−4.72901	−	12.1736i	−0.176485	−	0.454316i
$719$	36.5803	−	17.6161i	1.36422	−	0.656971i	0.398643	−	0.917106i	$-0.369481\pi$
$719$	36.5803	−	17.6161i	1.36422	−	0.656971i	0.965572	+	0.260135i	$0.0837670\pi$
$720$	14.0276	+	1.24768i	0.522778	+	0.0464984i
$721$	19.2419	−	5.27273i	0.716607	−	0.196367i
$722$	1.18550	+	0.0929885i	0.0441199	+	0.00346067i
$723$	17.6854	+	4.03657i	0.657726	+	0.150122i
$724$	−13.9464	+	7.92314i	−0.518315	+	0.294461i
$725$	1.98805	−	0.957396i	0.0738344	−	0.0355568i
$726$	−11.5058	+	36.8453i	−0.427019	+	1.36746i
$727$	0.755797	+	0.363973i	0.0280310	+	0.0134990i	0.447847	−	0.894110i	$-0.352191\pi$
$727$	0.755797	+	0.363973i	0.0280310	+	0.0134990i	−0.419816	+	0.907609i	$0.637905\pi$
$728$	18.5697	+	3.60551i	0.688238	+	0.133629i
$729$	−0.900969	+	0.433884i	−0.0333692	+	0.0160698i
$730$	−6.91256	−	46.9697i	−0.255845	−	1.73843i
$731$	−10.3686	−	45.4279i	−0.383497	−	1.68021i
$732$	−11.6680	−	12.7519i	−0.431262	−	0.471323i
$733$	−25.8542	−	20.6180i	−0.954945	−	0.761543i	0.0162403	−	0.999868i	$-0.494830\pi$
$733$	−25.8542	−	20.6180i	−0.954945	−	0.761543i	−0.971186	+	0.238325i	$0.923402\pi$
$734$	−18.3525	−	27.1203i	−0.677402	−	1.00103i
$735$	12.5634	+	21.2026i	0.463406	+	0.782070i
$736$	−1.19236	−	0.200982i	−0.0439508	−	0.00740829i
$737$	16.9041	−	21.1971i	0.622671	−	0.780805i
$738$	−6.92357	+	1.01895i	−0.254860	+	0.0375080i
$739$	−17.9480	+	4.09651i	−0.660228	+	0.150693i	−0.539490	−	0.841992i	$-0.681383\pi$
$739$	−17.9480	+	4.09651i	−0.660228	+	0.150693i	−0.120737	+	0.992684i	$0.538526\pi$
$740$	29.3405	+	32.0660i	1.07858	+	1.17877i
$741$	4.67377	+	9.70518i	0.171695	+	0.356529i
$742$	10.3895	+	8.90151i	0.381409	+	0.326785i
$743$	2.80568	−	5.82606i	0.102930	−	0.213737i	−0.843143	−	0.537689i	$-0.819297\pi$
$743$	2.80568	−	5.82606i	0.102930	−	0.213737i	0.946074	+	0.323952i	$0.105012\pi$
$744$	16.8681	+	13.7422i	0.618414	+	0.503814i
$745$	−26.9912	−	56.0477i	−0.988879	−	2.05343i
$746$	−11.8154	−	0.926779i	−0.432594	−	0.0339318i
$747$	0.199125	−	0.872422i	0.00728559	−	0.0319202i
$748$	30.9266	+	54.4373i	1.13079	+	1.99043i
$749$	2.52712	−	13.7826i	0.0923391	−	0.503607i
$750$	−11.3860	−	3.55554i	−0.415759	−	0.129830i
$751$	16.8080	+	34.9022i	0.613334	+	1.27360i	0.944029	+	0.329863i	$0.107003\pi$
$751$	16.8080	+	34.9022i	0.613334	+	1.27360i	−0.330695	+	0.943738i	$0.607283\pi$
$752$	27.1464	−	17.9601i	0.989928	−	0.654937i
$753$	−2.19655			−0.0800468
$754$	0.883350	−	0.597769i	0.0321697	−	0.0217694i
$755$	−10.7047	+	46.9003i	−0.389584	+	1.70688i
$756$	3.73680	+	3.74651i	0.135906	+	0.136259i
$757$	−5.14451	−	22.5396i	−0.186980	−	0.819214i	−0.978197	−	0.207678i	$-0.933409\pi$
$757$	−5.14451	−	22.5396i	−0.186980	−	0.819214i	0.791217	−	0.611536i	$-0.209448\pi$
$758$	31.9689	+	29.8704i	1.16116	+	1.08494i
$759$	−0.824729	−	1.03418i	−0.0299358	−	0.0375382i
$760$	26.8027	−	32.8994i	0.972237	−	1.19339i
$761$	11.3358	−	2.58733i	0.410923	−	0.0937906i	−0.0120617	−	0.999927i	$-0.503839\pi$
$761$	11.3358	−	2.58733i	0.410923	−	0.0937906i	0.422985	+	0.906137i	$0.360982\pi$
$762$	7.26275	+	6.78600i	0.263102	+	0.245831i
$763$	−1.67980	−	38.9884i	−0.0608129	−	1.41147i
$764$	8.80706	−	12.7265i	0.318628	−	0.460428i
$765$	17.8104			0.643937
$766$	−24.1005	−	35.6144i	−0.870786	−	1.28680i
$767$	2.41171	+	0.550458i	0.0870820	+	0.0198759i
$768$	−7.61143	−	14.0736i	−0.274654	−	0.507837i
$769$	12.3405	−	9.84125i	0.445011	−	0.354884i	−0.375202	−	0.926943i	$-0.622427\pi$
$769$	12.3405	−	9.84125i	0.445011	−	0.354884i	0.820213	+	0.572059i	$0.193855\pi$
$770$	37.9347	−	72.1563i	1.36707	−	2.60033i
$771$	−12.6928	−	10.1222i	−0.457120	−	0.364541i
$772$	28.9825	+	20.0567i	1.04310	+	0.721855i
$773$	19.7797	+	15.7738i	0.711426	+	0.567344i	0.910934	−	0.412553i	$-0.135363\pi$
$773$	19.7797	+	15.7738i	0.711426	+	0.567344i	−0.199507	+	0.979896i	$0.563934\pi$
$774$	−6.55242	+	11.2585i	−0.235522	+	0.404679i
$775$	−35.4705	−	44.4786i	−1.27414	−	1.59772i
$776$	1.49226	−	6.23730i	0.0535689	−	0.223906i
$777$	0.702960	+	16.3158i	0.0252186	+	0.585325i
$778$	1.64583	+	0.957868i	0.0590059	+	0.0343412i
$779$	−9.14933	+	18.9988i	−0.327809	+	0.680702i
$780$	−17.5820	−	2.77526i	−0.629535	−	0.0993703i
$781$	62.8710	+	30.2771i	2.24970	+	1.08340i
$782$	−1.52453	−	0.119581i	−0.0545171	−	0.00427621i
$783$	0.298360			0.0106625
$784$	12.2142	−	25.1955i	0.436220	−	0.899840i
$785$	47.3424			1.68972
$786$	−16.8906	−	1.32487i	−0.602469	−	0.0472565i
$787$	−31.6426	−	15.2383i	−1.12794	−	0.543186i	−0.225601	−	0.974220i	$-0.572435\pi$
$787$	−31.6426	−	15.2383i	−1.12794	−	0.543186i	−0.902336	+	0.431034i	$0.858149\pi$
$788$	−21.5391	−	3.39989i	−0.767299	−	0.121116i
$789$	−2.01237	+	4.17873i	−0.0716423	+	0.148767i
$790$	−45.0380	−	26.2120i	−1.60238	−	0.932580i
$791$	36.7235	+	6.73346i	1.30574	+	0.239414i
$792$	4.07261	−	17.0226i	0.144714	−	0.604871i
$793$	13.6208	+	17.0799i	0.483687	+	0.606525i
$794$	−18.4249	+	31.6580i	−0.653874	+	1.12350i
$795$	−10.0649	−	8.02653i	−0.356967	−	0.284672i
$796$	32.1728	+	22.2644i	1.14034	+	0.789142i
$797$	−26.8058	−	21.3769i	−0.949509	−	0.757208i	0.0206225	−	0.999787i	$-0.493435\pi$
$797$	−26.8058	−	21.3769i	−0.949509	−	0.757208i	−0.970132	+	0.242579i	$0.922007\pi$
$798$	15.6601	−	2.99842i	0.554360	−	0.106143i
$799$	32.1841	−	25.6659i	1.13859	−	0.907996i
$800$	11.6344	+	40.1860i	0.411340	+	1.42079i
$801$	4.20276	+	0.959253i	0.148497	+	0.0338935i
$802$	10.7224	+	15.8450i	0.378622	+	0.559507i
$803$	−59.0049			−2.08224
$804$	−4.98631	+	7.20537i	−0.175853	+	0.254114i
$805$	0.940336	+	1.75509i	0.0331425	+	0.0618589i
$806$	−20.0932	−	18.7743i	−0.707754	−	0.661295i
$807$	13.2482	−	3.02381i	0.466357	−	0.106443i
$808$	−18.9355	+	23.2426i	−0.666147	+	0.817673i
$809$	−6.38623	−	8.00807i	−0.224528	−	0.281549i	0.656789	−	0.754074i	$-0.271914\pi$
$809$	−6.38623	−	8.00807i	−0.224528	−	0.281549i	−0.881317	+	0.472525i	$0.843343\pi$
$810$	−3.63813	−	3.39932i	−0.127831	−	0.119440i
$811$	0.264329	+	1.15810i	0.00928185	+	0.0406665i	0.979357	−	0.202139i	$-0.0647894\pi$
$811$	0.264329	+	1.15810i	0.00928185	+	0.0406665i	−0.970075	+	0.242806i	$0.921932\pi$
$812$	−0.519501	−	1.49085i	−0.0182309	−	0.0523186i
$813$	−4.64608	+	20.3558i	−0.162945	+	0.713910i
$814$	44.7378	−	30.2744i	1.56806	−	1.06112i
$815$	−66.0481			−2.31356
$816$	−11.1650	−	16.8757i	−0.390853	−	0.590769i
$817$	17.0307	+	35.3646i	0.595829	+	1.23725i
$818$	51.3399	+	16.0320i	1.79506	+	0.560546i
$819$	−4.39110	−	5.04454i	−0.153437	−	0.176270i
$820$	−17.2119	−	30.2966i	−0.601065	−	1.05800i
$821$	−0.603618	+	2.64462i	−0.0210664	+	0.0922979i	−0.984368	−	0.176123i	$-0.943645\pi$
$821$	−0.603618	+	2.64462i	−0.0210664	+	0.0922979i	0.963302	+	0.268420i	$0.0865016\pi$
$822$	−4.02998	−	0.316103i	−0.140562	−	0.0110254i
$823$	6.82291	+	14.1679i	0.237832	+	0.493863i	0.985386	−	0.170339i	$-0.0544861\pi$
$823$	6.82291	+	14.1679i	0.237832	+	0.493863i	−0.747554	+	0.664201i	$0.768772\pi$
$824$	16.5359	+	13.4716i	0.576055	+	0.469304i
$825$	−19.8572	+	41.2339i	−0.691340	+	1.43558i
$826$	1.70389	−	3.24100i	0.0592859	−	0.112769i
$827$	6.79334	+	14.1065i	0.236228	+	0.490532i	0.985056	−	0.172232i	$-0.0550977\pi$
$827$	6.79334	+	14.1065i	0.236228	+	0.490532i	−0.748829	+	0.662764i	$0.769383\pi$
$828$	0.288593	+	0.315401i	0.0100293	+	0.0109609i
$829$	21.3281	−	4.86801i	0.740757	−	0.169073i	0.164541	−	0.986370i	$-0.447386\pi$
$829$	21.3281	−	4.86801i	0.740757	−	0.169073i	0.576216	+	0.817297i	$0.304529\pi$
$830$	4.40810	−	0.648743i	0.153007	−	0.0225182i
$831$	−9.82691	+	12.3226i	−0.340892	+	0.427465i
$832$	8.39216	+	18.3990i	0.290946	+	0.637871i
$833$	12.5632	−	33.1074i	0.435289	−	1.14710i
$834$	12.0655	+	17.8297i	0.417794	+	0.617393i
$835$	−36.3214	−	28.9653i	−1.25695	−	1.00239i
$836$	−35.6029	−	38.9102i	−1.23135	−	1.34574i
$837$	−1.71171	−	7.49951i	−0.0591655	−	0.259221i
$838$	3.36000	+	22.8307i	0.116069	+	0.788672i
$839$	7.52109	−	3.62197i	0.259657	−	0.125044i	−0.299527	−	0.954088i	$-0.596829\pi$
$839$	7.52109	−	3.62197i	0.259657	−	0.125044i	0.559184	+	0.829044i	$0.311115\pi$
$840$	−10.6511	+	24.0980i	−0.367498	+	0.831459i
$841$	26.0479	+	12.5440i	0.898203	+	0.432552i
$842$	0.000714798	−	0.00228902i	2.46336e−5	−	7.88850e-5i
$843$	−0.713934	+	0.343812i	−0.0245892	+	0.0118415i
$844$	−17.3057	+	9.83158i	−0.595686	+	0.338417i
$845$	−22.6891	−	5.17864i	−0.780529	−	0.178151i
$846$	−11.4729	−	0.899909i	−0.394445	−	0.0309395i
$847$	−58.3449	−	42.5527i	−2.00476	−	1.46213i
$848$	−1.29578	+	14.5684i	−0.0444974	+	0.500281i
$849$	−13.8527	+	6.67110i	−0.475423	+	0.228952i
$850$	19.1585	+	49.3188i	0.657132	+	1.69162i
$851$			1.31940i			0.0452284i
$852$	−20.9361	−	8.38534i	−0.717259	−	0.287277i
$853$	−20.6093	−	4.70395i	−0.705651	−	0.161060i	−0.145387	−	0.989375i	$-0.546443\pi$
$853$	−20.6093	−	4.70395i	−0.705651	−	0.161060i	−0.560263	+	0.828315i	$0.689300\pi$
$854$	29.6099	−	12.9956i	1.01323	−	0.444700i
$855$	−14.6270	+	3.33852i	−0.500233	+	0.114175i
$856$	13.5635	−	6.35836i	0.463591	−	0.217324i
$857$	−25.1053	+	20.0208i	−0.857581	+	0.683898i	−0.950145	−	0.311809i	$-0.899065\pi$
$857$	−25.1053	+	20.0208i	−0.857581	+	0.683898i	0.0925638	+	0.995707i	$0.470494\pi$
$858$	−6.59411	+	21.1166i	−0.225119	+	0.720908i
$859$	−5.23943	−	22.9554i	−0.178767	−	0.783229i	−0.982201	−	0.187835i	$-0.939853\pi$
$859$	−5.23943	−	22.9554i	−0.178767	−	0.783229i	0.803434	−	0.595394i	$-0.203004\pi$
$860$	−64.0667	−	10.1127i	−2.18466	−	0.344841i
$861$	2.36119	−	12.8777i	0.0804692	−	0.438869i
$862$	5.44700	+	14.0219i	0.185525	+	0.477589i
$863$			2.99142i			0.101829i	0.998703	+	0.0509145i	$0.0162136\pi$
$863$			2.99142i			0.101829i	−0.998703	+	0.0509145i	$0.983786\pi$
$864$	−0.940248	+	5.57817i	−0.0319879	+	0.189773i
$865$	−7.31248	+	32.0381i	−0.248632	+	1.08933i
$866$	−18.6469	+	32.0395i	−0.633647	+	1.08875i
$867$	−5.35605	−	6.71628i	−0.181901	−	0.228097i
$868$	−34.4933	+	21.6112i	−1.17078	+	0.733532i
$869$	−40.3804	+	50.6354i	−1.36981	+	1.71769i
$870$	0.537924	+	1.38475i	0.0182373	+	0.0469474i
$871$	6.90512	−	8.65875i	0.233971	−	0.293390i
$872$	32.8868	−	25.6696i	1.11369	−	0.869284i
$873$	−1.77277	+	1.41373i	−0.0599991	+	0.0478477i
$874$	1.27445	−	0.187562i	0.0431090	−	0.00634439i
$875$	13.1497	−	18.0299i	0.444542	−	0.609522i
$876$	19.0261	−	1.29279i	0.642833	−	0.0436795i
$877$	−4.17980	−	2.01289i	−0.141142	−	0.0679704i	0.361980	−	0.932186i	$-0.382101\pi$
$877$	−4.17980	−	2.01289i	−0.141142	−	0.0679704i	−0.503122	+	0.864216i	$0.667815\pi$
$878$	9.50132	−	10.1688i	0.320654	−	0.343181i
$879$	13.3716	−	27.7663i	0.451012	−	0.936535i
$880$	86.3479	−	11.7888i	2.91079	−	0.397402i
$881$		−	31.8554i		−	1.07324i	−0.843825	−	0.536618i	$-0.819702\pi$
$881$		−	31.8554i		−	1.07324i	0.843825	−	0.536618i	$-0.180298\pi$
$882$	−8.88520	+	4.36501i	−0.299180	+	0.146978i
$883$			0.649971i			0.0218733i	0.999940	+	0.0109366i	$0.00348131\pi$
$883$			0.649971i			0.0218733i	−0.999940	+	0.0109366i	$0.996519\pi$
$884$	12.6331	+	22.2370i	0.424898	+	0.747911i
$885$	−1.49491	+	3.10422i	−0.0502509	+	0.104347i
$886$	1.13877	+	1.06402i	0.0382577	+	0.0357464i
$887$	7.08057	+	3.40982i	0.237742	+	0.114491i	0.548962	−	0.835847i	$-0.315023\pi$
$887$	7.08057	+	3.40982i	0.237742	+	0.114491i	−0.311220	+	0.950338i	$0.600737\pi$
$888$	−13.7624	+	10.7422i	−0.461836	+	0.360484i
$889$	−16.3911	+	8.78196i	−0.549740	+	0.294537i
$890$	3.12522	+	21.2353i	0.104758	+	0.711810i
$891$	−4.83816	+	3.85831i	−0.162085	+	0.129258i
$892$	0.519832	+	7.65039i	0.0174053	+	0.256154i
$893$	−21.6205	+	27.1113i	−0.723503	+	0.907244i
$894$	23.2921	−	9.04812i	0.779004	−	0.302614i
$895$	−36.4712	+	45.7334i	−1.21910	+	1.52870i
$896$	29.5103	−	5.01439i	0.985869	−	0.167519i
$897$	−0.336891	−	0.422449i	−0.0112485	−	0.0141051i
$898$	42.6001	+	24.7931i	1.42158	+	0.827356i
$899$	−0.510707	+	2.23755i	−0.0170330	+	0.0746265i
$900$	5.49953	−	13.7310i	0.183318	−	0.457699i
$901$			18.4970i			0.616226i
$902$	−40.3674	+	15.6812i	−1.34409	+	0.522128i
$903$	−16.0007	−	18.3817i	−0.532469	−	0.611706i
$904$	16.9417	+	36.1396i	0.563473	+	1.20198i
$905$	6.28316	+	27.5283i	0.208859	+	0.915072i
$906$	−18.4450	−	5.75985i	−0.612794	−	0.191358i
$907$	−20.4920	+	16.3419i	−0.680427	+	0.542622i	−0.901578	−	0.432617i	$-0.857590\pi$
$907$	−20.4920	+	16.3419i	−0.680427	+	0.542622i	0.221151	+	0.975240i	$0.429019\pi$
$908$	−4.06186	−	0.641153i	−0.134798	−	0.0212774i
$909$	10.3336	−	2.35858i	0.342744	−	0.0782291i
$910$	15.4959	−	29.4750i	0.513683	−	0.977086i
$911$	−32.5271	−	7.42409i	−1.07767	−	0.245971i	−0.353389	−	0.935476i	$-0.614971\pi$
$911$	−32.5271	−	7.42409i	−1.07767	−	0.245971i	−0.724281	+	0.689505i	$0.757828\pi$
$912$	12.3327	+	11.7665i	0.408376	+	0.389629i
$913$		−	5.53760i		−	0.183268i
$914$	−41.8782	+	16.2681i	−1.38521	+	0.538102i
$915$	−27.4139	+	13.2018i	−0.906275	+	0.436439i
$916$	−9.33408	−	31.0249i	−0.308407	−	1.02509i
$917$	12.5106	−	29.1231i	0.413137	−	0.961730i
$918$	−0.559433	+	7.13217i	−0.0184640	+	0.235397i
$919$	20.0686	+	4.58053i	0.662002	+	0.151098i	0.540305	−	0.841470i	$-0.318309\pi$
$919$	20.0686	+	4.58053i	0.662002	+	0.151098i	0.121698	+	0.992567i	$0.461166\pi$
$920$	−0.943525	+	1.90806i	−0.0311071	+	0.0629070i
$921$	7.04538	−	3.39288i	0.232153	−	0.111799i
$922$	32.7216	+	10.2181i	1.07763	+	0.336514i
$923$	25.6820	+	12.3678i	0.845334	+	0.407091i
$924$	27.7034	+	17.4574i	0.911376	+	0.574306i
$925$	41.1291	−	19.8067i	1.35232	−	0.651241i
$926$	40.4202	−	5.94866i	1.32829	−	0.195485i
$927$	−1.67800	−	7.35181i	−0.0551128	−	0.241465i
$928$	0.974864	−	1.37776i	0.0320015	−	0.0452273i
$929$	−34.5953	−	27.5889i	−1.13504	−	0.905161i	−0.138671	−	0.990339i	$-0.544283\pi$
$929$	−34.5953	−	27.5889i	−1.13504	−	0.905161i	−0.996366	+	0.0851771i	$0.972854\pi$
$930$	31.7206	−	21.4655i	1.04016	−	0.703883i
$931$	−4.11179	+	29.5447i	−0.134758	+	0.968290i
$932$	−18.7172	+	46.7323i	−0.613103	+	1.53077i
$933$	3.27662	−	4.10875i	0.107272	−	0.134514i
$934$	2.91885	+	19.8331i	0.0955077	+	0.648959i
$935$	107.452	−	24.5252i	3.51405	−	0.802059i
$936$	1.66361	−	6.95352i	0.0543768	−	0.227283i
$937$	−8.02221	−	16.6583i	−0.262074	−	0.544202i	0.727861	−	0.685725i	$-0.240515\pi$
$937$	−8.02221	−	16.6583i	−0.262074	−	0.544202i	−0.989935	+	0.141522i	$0.954800\pi$
$938$	−9.76326	−	13.1686i	−0.318782	−	0.429969i
$939$	9.71720	−	20.1780i	0.317109	−	0.658483i
$940$	−16.5082	−	54.8704i	−0.538438	−	1.78968i
$941$	−5.33906	−	11.0867i	−0.174048	−	0.361415i	0.795636	−	0.605774i	$-0.207137\pi$
$941$	−5.33906	−	11.0867i	−0.174048	−	0.361415i	−0.969685	+	0.244359i	$0.921422\pi$
$942$	−1.48705	+	18.9582i	−0.0484506	+	0.617693i
$943$	0.235371	−	1.03123i	0.00766475	−	0.0335814i
$944$	3.87844	−	0.529512i	0.126232	−	0.0172341i
$945$	8.21080	−	4.39915i	0.267097	−	0.143104i
$946$	−24.0282	+	76.9464i	−0.781225	+	2.50174i
$947$	18.1896	+	37.7711i	0.591082	+	1.22739i	0.955178	+	0.296033i	$0.0956638\pi$
$947$	18.1896	+	37.7711i	0.591082	+	1.22739i	−0.364096	+	0.931362i	$0.618622\pi$
$948$	11.9112	−	17.2121i	0.386859	−	0.559024i
$949$	−24.1028			−0.782409
$950$	−24.9788	−	36.9124i	−0.810420	−	1.19760i
$951$	2.42546	−	10.6267i	0.0786511	−	0.344593i
$952$	36.6123	−	9.62308i	1.18661	−	0.311886i
$953$	11.4250	+	50.0563i	0.370093	+	1.62148i	0.726511	+	0.687155i	$0.241141\pi$
$953$	11.4250	+	50.0563i	0.370093	+	1.62148i	−0.356418	+	0.934327i	$0.616002\pi$
$954$	3.53036	−	3.77839i	0.114300	−	0.122330i
$955$	−16.9868	−	21.3008i	−0.549681	−	0.689278i
$956$	12.8683	+	42.7720i	0.416190	+	1.38334i
$957$	1.80003	−	0.410845i	0.0581868	−	0.0132807i
$958$	4.24045	−	4.53836i	0.137003	−	0.146628i
$959$	2.98494	−	6.94855i	0.0963886	−	0.224380i
$960$	−27.5846	+	5.69319i	−0.890289	+	0.183747i
$961$	28.1726			0.908793
$962$	18.2749	−	12.3667i	0.589205	−	0.398719i
$963$	−5.16340	−	1.17851i	−0.166388	−	0.0379771i
$964$	−36.1969	+	2.45952i	−1.16582	+	0.0792159i
$965$	48.5091	−	38.6847i	1.56156	−	1.24531i
$966$	−0.732363	+	0.321429i	−0.0235634	+	0.0103418i
$967$	−13.5826	−	10.8317i	−0.436785	−	0.348325i	0.380278	−	0.924872i	$-0.375828\pi$
$967$	−13.5826	−	10.8317i	−0.436785	−	0.348325i	−0.817064	+	0.576547i	$0.804400\pi$
$968$	0.805458	−	77.1958i	0.0258884	−	2.48117i
$969$	16.8539	+	13.4405i	0.541424	+	0.431772i
$970$	−9.75762	−	5.67890i	−0.313298	−	0.182339i
$971$	6.83507	+	8.57090i	0.219348	+	0.275053i	0.879315	−	0.476241i	$-0.158001\pi$
$971$	6.83507	+	8.57090i	0.219348	+	0.275053i	−0.659967	+	0.751295i	$0.729430\pi$
$972$	1.47553	−	1.35011i	0.0473277	−	0.0433050i
$973$	−38.8441	+	10.6442i	−1.24529	+	0.341237i
$974$	18.8377	−	32.3674i	0.603600	−	1.03712i
$975$	−8.11143	+	16.8436i	−0.259774	+	0.539425i
$976$	29.6942	+	17.6993i	0.950489	+	0.566539i
$977$	19.7531	+	9.51260i	0.631958	+	0.304335i	0.722304	−	0.691575i	$-0.243083\pi$
$977$	19.7531	+	9.51260i	0.631958	+	0.304335i	−0.0903460	+	0.995910i	$0.528797\pi$
$978$	2.07460	−	26.4489i	0.0663384	−	0.845743i
$979$	26.6765			0.852586
$980$	−36.2783	−	33.3682i	−1.15887	−	1.06591i
$981$	−14.7499			−0.470928
$982$	−0.164124	+	2.09241i	−0.00523742	+	0.0667715i
$983$	5.89628	+	2.83950i	0.188062	+	0.0905660i	0.525545	−	0.850766i	$-0.323861\pi$
$983$	5.89628	+	2.83950i	0.188062	+	0.0905660i	−0.337483	+	0.941332i	$0.609576\pi$
$984$	12.6729	−	5.94087i	0.403997	−	0.189388i
$985$	−16.6552	+	34.5849i	−0.530680	+	1.10197i
$986$	1.07367	−	1.84480i	0.0341925	−	0.0587504i
$987$	8.49777	−	19.7817i	0.270487	−	0.629659i
$988$	−14.5434	−	15.8943i	−0.462686	−	0.505666i
$989$	−1.22759	−	1.53936i	−0.0390352	−	0.0489486i
$990$	−26.6301	−	15.4986i	−0.846359	−	0.492578i
$991$	32.2132	+	25.6892i	1.02329	+	0.816044i	0.983085	−	0.183148i	$-0.0586287\pi$
$991$	32.2132	+	25.6892i	1.02329	+	0.816044i	0.0402010	+	0.999192i	$0.487200\pi$
$992$	−40.2241	−	16.5996i	−1.27712	−	0.527039i
$993$	−3.13977	−	2.50388i	−0.0996375	−	0.0794582i
$994$	27.4520	−	32.0408i	0.870723	−	1.01627i
$995$	53.8489	−	42.9431i	1.70712	−	1.36139i
$996$	0.121329	+	1.78560i	0.00384444	+	0.0565788i
$997$	−36.2410	−	8.27177i	−1.14776	−	0.261970i	−0.393997	−	0.919112i	$-0.628908\pi$
$997$	−36.2410	−	8.27177i	−1.14776	−	0.261970i	−0.753767	+	0.657142i	$0.771765\pi$
$998$	14.8187	−	10.0279i	0.469077	−	0.317427i
$999$	6.17250			0.195289

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.x.a.55.1	✓	168
4.3	odd	2		588.2.x.b.55.17	yes	168
49.41	odd	14		588.2.x.b.139.17	yes	168
196.139	even	14	inner	588.2.x.a.139.1	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.x.a.55.1	✓	168	1.1	even	1	trivial
588.2.x.a.139.1	yes	168	196.139	even	14	inner
588.2.x.b.55.17	yes	168	4.3	odd	2
588.2.x.b.139.17	yes	168	49.41	odd	14

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:	\( N \)	\(=\)	\( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	588.x (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.40988 - 0.110588i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(1.97554 + 0.311833i) q^{4} +(1.52760 - 3.17209i) q^{5} +(1.22228 + 0.711362i) q^{6} +(-1.99561 + 1.73711i) q^{7} +(-2.75080 - 0.658120i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\)	\(q+(-1.40988 - 0.110588i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(1.97554 + 0.311833i) q^{4} +(1.52760 - 3.17209i) q^{5} +(1.22228 + 0.711362i) q^{6} +(-1.99561 + 1.73711i) q^{7} +(-2.75080 - 0.658120i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-2.50453 + 4.30333i) q^{10} +(4.83816 + 3.85831i) q^{11} +(-1.64460 - 1.13811i) q^{12} +(1.97633 + 1.57607i) q^{13} +(3.00568 - 2.22843i) q^{14} +(-2.75263 + 2.19515i) q^{15} +(3.80552 + 1.23208i) q^{16} +(4.93187 + 1.12567i) q^{17} +(-0.792586 - 1.17124i) q^{18} -4.26136 q^{19} +(4.00699 - 5.79023i) q^{20} +(2.55168 - 0.699220i) q^{21} +(-6.39456 - 5.97480i) q^{22} +(0.208395 - 0.0475648i) q^{23} +(2.19283 + 1.78647i) q^{24} +(-4.61113 - 5.78217i) q^{25} +(-2.61210 - 2.44063i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(-4.48409 + 2.80943i) q^{28} +(-0.0663913 + 0.290879i) q^{29} +(4.12365 - 2.79050i) q^{30} +7.69237 q^{31} +(-5.22908 - 2.15793i) q^{32} +(-2.68498 - 5.57541i) q^{33} +(-6.82887 - 2.13247i) q^{34} +(2.46178 + 8.98384i) q^{35} +(0.987928 + 1.73896i) q^{36} +(-1.37351 + 6.01775i) q^{37} +(6.00801 + 0.471256i) q^{38} +(-1.09678 - 2.27749i) q^{39} +(-6.28972 + 7.72042i) q^{40} +(2.14705 - 4.45839i) q^{41} +(-3.67490 + 0.703632i) q^{42} +(-3.99654 - 8.29891i) q^{43} +(8.35484 + 9.13094i) q^{44} +(3.43248 - 0.783440i) q^{45} +(-0.299072 + 0.0440147i) q^{46} +(5.07363 - 6.36212i) q^{47} +(-2.89408 - 2.76122i) q^{48} +(0.964901 - 6.93318i) q^{49} +(5.86171 + 8.66212i) q^{50} +(-3.95505 - 3.15405i) q^{51} +(3.41285 + 3.72988i) q^{52} +(0.813643 + 3.56480i) q^{53} +(0.205913 + 1.39914i) q^{54} +(19.6296 - 9.45313i) q^{55} +(6.63274 - 3.46508i) q^{56} +(3.83935 + 1.84893i) q^{57} +(0.125772 - 0.402764i) q^{58} +(0.881692 - 0.424601i) q^{59} +(-6.12246 + 3.47825i) q^{60} +(8.42555 + 1.92308i) q^{61} +(-10.8453 - 0.850687i) q^{62} +(-2.60237 - 0.477159i) q^{63} +(7.13376 + 3.62071i) q^{64} +(8.01846 - 3.86149i) q^{65} +(3.16893 + 8.15761i) q^{66} -4.38123i q^{67} +(9.39208 + 3.76172i) q^{68} +(-0.208395 - 0.0475648i) q^{69} +(-2.47731 - 12.9384i) q^{70} +(10.9937 - 2.50925i) q^{71} +(-1.20055 - 2.56099i) q^{72} +(-7.45476 + 5.94497i) q^{73} +(2.60198 - 8.33242i) q^{74} +(1.64569 + 7.21025i) q^{75} +(-8.41848 - 1.32883i) q^{76} +(-16.3574 + 0.704753i) q^{77} +(1.29447 + 3.33228i) q^{78} +10.4658i q^{79} +(9.72155 - 10.1893i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-3.52013 + 6.04837i) q^{82} +(-0.557935 - 0.699628i) q^{83} +(5.25900 - 0.585637i) q^{84} +(11.1046 - 13.9247i) q^{85} +(4.71690 + 12.1425i) q^{86} +(0.186024 - 0.233267i) q^{87} +(-10.7696 - 13.7975i) q^{88} +(3.37035 - 2.68777i) q^{89} +(-4.92603 + 0.724967i) q^{90} +(-6.68178 + 0.287883i) q^{91} +(0.426525 - 0.0289817i) q^{92} +(-6.93059 - 3.33760i) q^{93} +(-7.85680 + 8.40877i) q^{94} +(-6.50963 + 13.5174i) q^{95} +(3.77495 + 4.21305i) q^{96} +2.26745i q^{97} +(-2.12713 + 9.66826i) q^{98} +6.18824i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

Introduction

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