LMFDB - Embedded newform 588.2.x.b.55.13

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			55.13
Character	$\chi$	$=$	588.55
Dual form			588.2.x.b.139.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.302651 + 1.38145i) q^{2} +(0.900969 + 0.433884i) q^{3} +(-1.81681 - 0.836193i) q^{4} +(0.0432081 - 0.0897226i) q^{5} +(-0.872067 + 1.11333i) q^{6} +(-0.103018 - 2.64374i) q^{7} +(1.70502 - 2.25675i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})$	\(q+(-0.302651 + 1.38145i) q^{2} +(0.900969 + 0.433884i) q^{3} +(-1.81681 - 0.836193i) q^{4} +(0.0432081 - 0.0897226i) q^{5} +(-0.872067 + 1.11333i) q^{6} +(-0.103018 - 2.64374i) q^{7} +(1.70502 - 2.25675i) q^{8} +(0.623490 + 0.781831i) q^{9} +(0.110870 + 0.0868444i) q^{10} +(2.51790 + 2.00796i) q^{11} +(-1.27407 - 1.54167i) q^{12} +(0.338941 + 0.270296i) q^{13} +(3.68338 + 0.657816i) q^{14} +(0.0778583 - 0.0620899i) q^{15} +(2.60156 + 3.03840i) q^{16} +(1.76286 + 0.402362i) q^{17} +(-1.26876 + 0.624698i) q^{18} -0.291299 q^{19} +(-0.153526 + 0.126878i) q^{20} +(1.05426 - 2.42663i) q^{21} +(-3.53594 + 2.87064i) q^{22} +(8.74008 - 1.99487i) q^{23} +(2.51533 - 1.29348i) q^{24} +(3.11127 + 3.90140i) q^{25} +(-0.475981 + 0.386424i) q^{26} +(0.222521 + 0.974928i) q^{27} +(-2.02352 + 4.88931i) q^{28} +(0.201203 - 0.881528i) q^{29} +(0.0622102 + 0.126349i) q^{30} +2.49658 q^{31} +(-4.98476 + 2.67435i) q^{32} +(1.39733 + 2.90159i) q^{33} +(-1.08937 + 2.31353i) q^{34} +(-0.241655 - 0.104988i) q^{35} +(-0.478998 - 1.94179i) q^{36} +(-0.872620 + 3.82320i) q^{37} +(0.0881619 - 0.402415i) q^{38} +(0.188098 + 0.390589i) q^{39} +(-0.128811 - 0.250488i) q^{40} +(-4.00391 + 8.31420i) q^{41} +(3.03319 + 2.19083i) q^{42} +(-4.80724 - 9.98234i) q^{43} +(-2.89550 - 5.75352i) q^{44} +(0.0970877 - 0.0221596i) q^{45} +(0.110617 + 12.6777i) q^{46} +(3.95275 - 4.95659i) q^{47} +(1.02561 + 3.86628i) q^{48} +(-6.97877 + 0.544709i) q^{49} +(-6.33122 + 3.11729i) q^{50} +(1.41371 + 1.12739i) q^{51} +(-0.389769 - 0.774495i) q^{52} +(-1.58701 - 6.95314i) q^{53} +(-1.41416 + 0.0123389i) q^{54} +(0.288953 - 0.139152i) q^{55} +(-6.14192 - 4.27514i) q^{56} +(-0.262452 - 0.126390i) q^{57} +(1.15689 + 0.544747i) q^{58} +(10.7197 - 5.16235i) q^{59} +(-0.193373 + 0.0477007i) q^{60} +(-0.494137 - 0.112783i) q^{61} +(-0.755592 + 3.44890i) q^{62} +(2.00273 - 1.72889i) q^{63} +(-2.18584 - 7.69559i) q^{64} +(0.0388966 - 0.0187316i) q^{65} +(-4.43130 + 1.05217i) q^{66} +7.57742i q^{67} +(-2.86633 - 2.20511i) q^{68} +(8.74008 + 1.99487i) q^{69} +(0.218173 - 0.302059i) q^{70} +(-1.74261 + 0.397740i) q^{71} +(2.82746 - 0.0740260i) q^{72} +(-11.1695 + 8.90740i) q^{73} +(-5.01746 - 2.36257i) q^{74} +(1.11040 + 4.86497i) q^{75} +(0.529234 + 0.243582i) q^{76} +(5.04914 - 6.86355i) q^{77} +(-0.596507 + 0.141636i) q^{78} +4.06437i q^{79} +(0.385022 - 0.102135i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-10.2739 - 8.04749i) q^{82} +(-9.81797 - 12.3113i) q^{83} +(-3.94452 + 3.52715i) q^{84} +(0.112271 - 0.140783i) q^{85} +(15.2450 - 3.61980i) q^{86} +(0.563758 - 0.706930i) q^{87} +(8.82453 - 2.25867i) q^{88} +(3.04839 - 2.43101i) q^{89} +(0.00122877 + 0.140828i) q^{90} +(0.679677 - 0.923918i) q^{91} +(-17.5471 - 3.68411i) q^{92} +(2.24934 + 1.08323i) q^{93} +(5.65098 + 6.96064i) q^{94} +(-0.0125865 + 0.0261361i) q^{95} +(-5.65147 + 0.246703i) q^{96} +4.63664i q^{97} +(1.35964 - 9.80568i) q^{98} +3.22052i 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} + 14 q^{14} - 20 q^{16} - 12 q^{19} + 25 q^{20} + 2 q^{21} - 6 q^{22} - 27 q^{24} + 32 q^{25} - 6 q^{26} + 28 q^{27} + 6 q^{28} - 8 q^{30} + 4 q^{31} - 45 q^{32} - 44 q^{34} + 12 q^{35} - 10 q^{37} - 35 q^{38} - 14 q^{39} + 40 q^{40} + 7 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} + 23 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} + 19 q^{70} - 28 q^{71} - 15 q^{72} + 22 q^{74} - 18 q^{75} - 49 q^{76} + 8 q^{77} + 6 q^{78} - 26 q^{80} - 28 q^{81} - 12 q^{82} - 10 q^{83} - 27 q^{84} - 24 q^{85} - 34 q^{86} + 94 q^{88} - 20 q^{90} + 16 q^{91} + 7 q^{92} - 4 q^{93} + 11 q^{94} + 10 q^{96} - 150 q^{98}+O(q^{100}) $ 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9 - 20 * q^10 + 14 * q^14 - 20 * q^16 - 12 * q^19 + 25 * q^20 + 2 * q^21 - 6 * q^22 - 27 * q^24 + 32 * q^25 - 6 * q^26 + 28 * q^27 + 6 * q^28 - 8 * q^30 + 4 * q^31 - 45 * q^32 - 44 * q^34 + 12 * q^35 - 10 * q^37 - 35 * q^38 - 14 * q^39 + 40 * q^40 + 7 * 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 + 23 * 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 + 19 * q^70 - 28 * q^71 - 15 * q^72 + 22 * q^74 - 18 * q^75 - 49 * q^76 + 8 * q^77 + 6 * q^78 - 26 * q^80 - 28 * q^81 - 12 * q^82 - 10 * q^83 - 27 * q^84 - 24 * q^85 - 34 * q^86 + 94 * q^88 - 20 * q^90 + 16 * q^91 + 7 * q^92 - 4 * q^93 + 11 * q^94 + 10 * q^96 - 150 * 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 $

$2$	−0.302651	+	1.38145i	−0.214006	+	0.976832i
$2$	−0.302651	+	1.38145i	−0.214006	+	0.976832i
$3$	0.900969	+	0.433884i	0.520175	+	0.250503i
$3$	0.900969	+	0.433884i	0.520175	+	0.250503i
$4$	−1.81681	−	0.836193i	−0.908403	−	0.418096i
$5$	0.0432081	−	0.0897226i	0.0193233	−	0.0401251i	−0.891084	−	0.453839i	$-0.850054\pi$
$5$	0.0432081	−	0.0897226i	0.0193233	−	0.0401251i	0.910407	+	0.413714i	$0.135769\pi$
$6$	−0.872067	+	1.11333i	−0.356020	+	0.454514i
$7$	−0.103018	−	2.64374i	−0.0389373	−	0.999242i
$7$	−0.103018	−	2.64374i	−0.0389373	−	0.999242i
$8$	1.70502	−	2.25675i	0.602814	−	0.797882i
$9$	0.623490	+	0.781831i	0.207830	+	0.260610i
$10$	0.110870	+	0.0868444i	0.0350602	+	0.0274626i
$11$	2.51790	+	2.00796i	0.759176	+	0.605423i	0.924662	−	0.380789i	$-0.124348\pi$
$11$	2.51790	+	2.00796i	0.759176	+	0.605423i	−0.165486	+	0.986212i	$0.552919\pi$
$12$	−1.27407	−	1.54167i	−0.367794	−	0.445041i
$13$	0.338941	+	0.270296i	0.0940052	+	0.0749667i	0.669365	−	0.742934i	$-0.266566\pi$
$13$	0.338941	+	0.270296i	0.0940052	+	0.0749667i	−0.575359	+	0.817901i	$0.695138\pi$
$14$	3.68338	+	0.657816i	0.984424	+	0.175809i
$15$	0.0778583	−	0.0620899i	0.0201029	−	0.0160316i
$16$	2.60156	+	3.03840i	0.650391	+	0.759600i
$17$	1.76286	+	0.402362i	0.427557	+	0.0975871i	0.430884	−	0.902407i	$-0.358202\pi$
$17$	1.76286	+	0.402362i	0.427557	+	0.0975871i	−0.00332696	+	0.999994i	$0.501059\pi$
$18$	−1.26876	+	0.624698i	−0.299050	+	0.147243i
$19$	−0.291299			−0.0668286			−0.0334143	−	0.999442i	$-0.510638\pi$
$19$	−0.291299			−0.0668286			−0.0334143	+	0.999442i	$0.510638\pi$
$20$	−0.153526	+	0.126878i	−0.0343295	+	0.0283708i
$21$	1.05426	−	2.42663i	0.230059	−	0.529534i
$22$	−3.53594	+	2.87064i	−0.753865	+	0.612023i
$23$	8.74008	−	1.99487i	1.82243	−	0.415958i	0.832094	−	0.554634i	$-0.187142\pi$
$23$	8.74008	−	1.99487i	1.82243	−	0.415958i	0.990338	+	0.138676i	$0.0442845\pi$
$24$	2.51533	−	1.29348i	0.513440	−	0.264031i
$25$	3.11127	+	3.90140i	0.622253	+	0.780281i
$26$	−0.475981	+	0.386424i	−0.0933476	+	0.0757840i
$27$	0.222521	+	0.974928i	0.0428242	+	0.187625i
$28$	−2.02352	+	4.88931i	−0.382409	+	0.923993i
$29$	0.201203	−	0.881528i	0.0373624	−	0.163696i	−0.952805	−	0.303583i	$-0.901817\pi$
$29$	0.201203	−	0.881528i	0.0373624	−	0.163696i	0.990167	+	0.139888i	$0.0446741\pi$
$30$	0.0622102	+	0.126349i	0.0113580	+	0.0230680i
$31$	2.49658			0.448399			0.224200	−	0.974543i	$-0.428023\pi$
$31$	2.49658			0.448399			0.224200	+	0.974543i	$0.428023\pi$
$32$	−4.98476	+	2.67435i	−0.881189	+	0.472763i
$33$	1.39733	+	2.90159i	0.243244	+	0.505101i
$34$	−1.08937	+	2.31353i	−0.186826	+	0.396767i
$35$	−0.241655	−	0.104988i	−0.0408471	−	0.0177462i
$36$	−0.478998	−	1.94179i	−0.0798329	−	0.323632i
$37$	−0.872620	+	3.82320i	−0.143458	+	0.628530i	0.851159	+	0.524908i	$0.175900\pi$
$37$	−0.872620	+	3.82320i	−0.143458	+	0.628530i	−0.994617	+	0.103622i	$0.966957\pi$
$38$	0.0881619	−	0.402415i	0.0143017	−	0.0652804i
$39$	0.188098	+	0.390589i	0.0301198	+	0.0625443i
$40$	−0.128811	−	0.250488i	−0.0203668	−	0.0396057i
$41$	−4.00391	+	8.31420i	−0.625305	+	1.29846i	0.312043	+	0.950068i	$0.398987\pi$
$41$	−4.00391	+	8.31420i	−0.625305	+	1.29846i	−0.937349	+	0.348392i	$0.886728\pi$
$42$	3.03319	+	2.19083i	0.468032	+	0.338052i
$43$	−4.80724	−	9.98234i	−0.733097	−	1.52229i	−0.848629	−	0.528989i	$-0.822571\pi$
$43$	−4.80724	−	9.98234i	−0.733097	−	1.52229i	0.115532	−	0.993304i	$-0.463143\pi$
$44$	−2.89550	−	5.75352i	−0.436512	−	0.867377i
$45$	0.0970877	−	0.0221596i	0.0144730	−	0.00330336i
$46$	0.110617	+	12.6777i	0.0163095	+	1.86923i
$47$	3.95275	−	4.95659i	0.576568	−	0.722993i	−0.404955	−	0.914336i	$-0.632713\pi$
$47$	3.95275	−	4.95659i	0.576568	−	0.722993i	0.981523	+	0.191343i	$0.0612844\pi$
$48$	1.02561	+	3.86628i	0.148035	+	0.558049i
$49$	−6.97877	+	0.544709i	−0.996968	+	0.0778155i
$50$	−6.33122	+	3.11729i	−0.895370	+	0.440852i
$51$	1.41371	+	1.12739i	0.197958	+	0.157867i
$52$	−0.389769	−	0.774495i	−0.0540513	−	0.107403i
$53$	−1.58701	−	6.95314i	−0.217993	−	0.955088i	−0.958959	−	0.283546i	$-0.908489\pi$
$53$	−1.58701	−	6.95314i	−0.217993	−	0.955088i	0.740966	−	0.671542i	$-0.234368\pi$
$54$	−1.41416	+	0.0123389i	−0.192443	+	0.00167911i
$55$	0.288953	−	0.139152i	0.0389624	−	0.0187633i
$56$	−6.14192	−	4.27514i	−0.820749	−	0.571290i
$57$	−0.262452	−	0.126390i	−0.0347626	−	0.0167408i
$58$	1.15689	+	0.544747i	0.151907	+	0.0715287i
$59$	10.7197	−	5.16235i	1.39559	−	0.672081i	0.423329	−	0.905976i	$-0.360862\pi$
$59$	10.7197	−	5.16235i	1.39559	−	0.672081i	0.972262	+	0.233895i	$0.0751473\pi$
$60$	−0.193373	+	0.0477007i	−0.0249643	+	0.00615814i
$61$	−0.494137	−	0.112783i	−0.0632677	−	0.0144404i	0.190770	−	0.981635i	$-0.438902\pi$
$61$	−0.494137	−	0.112783i	−0.0632677	−	0.0144404i	−0.254038	+	0.967194i	$0.581759\pi$
$62$	−0.755592	+	3.44890i	−0.0959603	+	0.438011i
$63$	2.00273	−	1.72889i	0.252321	−	0.217820i
$64$	−2.18584	−	7.69559i	−0.273231	−	0.961949i
$65$	0.0388966	−	0.0187316i	0.00482453	−	0.00232337i
$66$	−4.43130	+	1.05217i	−0.545455	+	0.129514i
$67$			7.57742i			0.925729i	0.886429	+	0.462864i	$0.153178\pi$
$67$			7.57742i			0.925729i	−0.886429	+	0.462864i	$0.846822\pi$
$68$	−2.86633	−	2.20511i	−0.347593	−	0.267408i
$69$	8.74008	+	1.99487i	1.05218	+	0.240154i
$70$	0.218173	−	0.302059i	0.0260766	−	0.0361030i
$71$	−1.74261	+	0.397740i	−0.206810	+	0.0472031i	−0.324671	−	0.945827i	$-0.605254\pi$
$71$	−1.74261	+	0.397740i	−0.206810	+	0.0472031i	0.117861	+	0.993030i	$0.462396\pi$
$72$	2.82746	−	0.0740260i	0.333219	−	0.00872405i
$73$	−11.1695	+	8.90740i	−1.30729	+	1.04253i	−0.311564	+	0.950225i	$0.600853\pi$
$73$	−11.1695	+	8.90740i	−1.30729	+	1.04253i	−0.995731	+	0.0923076i	$0.970576\pi$
$74$	−5.01746	−	2.36257i	−0.583267	−	0.274644i
$75$	1.11040	+	4.86497i	0.128218	+	0.561758i
$76$	0.529234	+	0.243582i	0.0607073	+	0.0279408i
$77$	5.04914	−	6.86355i	0.575403	−	0.782174i
$78$	−0.596507	+	0.141636i	−0.0675411	+	0.0160371i
$79$			4.06437i			0.457278i	0.973511	+	0.228639i	$0.0734275\pi$
$79$			4.06437i			0.457278i	−0.973511	+	0.228639i	$0.926573\pi$
$80$	0.385022	−	0.102135i	0.0430467	−	0.0114191i
$81$	−0.222521	+	0.974928i	−0.0247245	+	0.108325i
$82$	−10.2739	−	8.04749i	−1.13456	−	0.888697i
$83$	−9.81797	−	12.3113i	−1.07766	−	1.35135i	−0.932184	−	0.361984i	$-0.882100\pi$
$83$	−9.81797	−	12.3113i	−1.07766	−	1.35135i	−0.145477	−	0.989362i	$-0.546472\pi$
$84$	−3.94452	+	3.52715i	−0.430382	+	0.384843i
$85$	0.112271	−	0.140783i	0.0121775	−	0.0152701i
$86$	15.2450	−	3.61980i	1.64391	−	0.390333i
$87$	0.563758	−	0.706930i	0.0604412	−	0.0757909i
$88$	8.82453	−	2.25867i	0.940698	−	0.240775i
$89$	3.04839	−	2.43101i	0.323129	−	0.257687i	−0.448467	−	0.893799i	$-0.648030\pi$
$89$	3.04839	−	2.43101i	0.323129	−	0.257687i	0.771596	+	0.636112i	$0.219459\pi$
$90$	0.00122877	+	0.140828i	0.000129523	+	0.0148446i
$91$	0.679677	−	0.923918i	0.0712495	−	0.0968529i
$92$	−17.5471	−	3.68411i	−1.82941	−	0.384095i
$93$	2.24934	+	1.08323i	0.233246	+	0.112325i
$94$	5.65098	+	6.96064i	0.582854	+	0.717935i
$95$	−0.0125865	+	0.0261361i	−0.00129135	+	0.00268151i
$96$	−5.65147	+	0.246703i	−0.576801	+	0.0251790i
$97$			4.63664i			0.470780i	0.971901	+	0.235390i	$0.0756367\pi$
$97$			4.63664i			0.470780i	−0.971901	+	0.235390i	$0.924363\pi$
$98$	1.35964	−	9.80568i	0.137345	−	0.990523i
$99$			3.22052i			0.323674i
$100$	−2.39024	−	9.68971i	−0.239024	−	0.968971i
$101$	−4.79379	+	9.95441i	−0.477000	+	0.990501i	0.514143	+	0.857704i	$0.328110\pi$
$101$	−4.79379	+	9.95441i	−0.477000	+	0.990501i	−0.991143	+	0.132796i	$0.957604\pi$
$102$	−1.98529	+	1.61176i	−0.196573	+	0.159588i
$103$	−2.70373	−	1.30205i	−0.266407	−	0.128295i	0.295912	−	0.955215i	$-0.404376\pi$
$103$	−2.70373	−	1.30205i	−0.266407	−	0.128295i	−0.562319	+	0.826920i	$0.690091\pi$
$104$	1.18789	−	0.304045i	0.116482	−	0.0298141i
$105$	−0.172171	−	0.199441i	−0.0168021	−	0.0194635i
$106$	10.0857	−	0.0880007i	0.979612	−	0.00854738i
$107$	−2.92841	+	2.33533i	−0.283100	+	0.225765i	−0.754736	−	0.656029i	$-0.772235\pi$
$107$	−2.92841	+	2.33533i	−0.283100	+	0.225765i	0.471636	+	0.881793i	$0.343664\pi$
$108$	0.410951	−	1.95732i	0.0395437	−	0.188344i
$109$	4.13307	−	5.18270i	0.395876	−	0.496413i	−0.543449	−	0.839442i	$-0.682882\pi$
$109$	4.13307	−	5.18270i	0.395876	−	0.496413i	0.939325	+	0.343030i	$0.111453\pi$
$110$	0.104780	+	0.441289i	0.00999041	+	0.0420752i
$111$	−2.44503	+	3.06597i	−0.232072	+	0.291009i
$112$	7.76474	−	7.19088i	0.733699	−	0.679474i
$113$	2.17341	+	2.72537i	0.204457	+	0.256381i	0.873479	−	0.486862i	$-0.161858\pi$
$113$	2.17341	+	2.72537i	0.204457	+	0.256381i	−0.669022	+	0.743242i	$0.733287\pi$
$114$	0.254032	−	0.324311i	0.0237923	−	0.0303746i
$115$	0.198658	−	0.870377i	0.0185249	−	0.0811630i
$116$	−1.10267	+	1.43332i	−0.102381	+	0.133080i
$117$			0.433521i			0.0400791i
$118$	3.88719	+	16.3712i	0.357845	+	1.50709i
$119$	0.882135	−	4.70201i	0.0808652	−	0.431032i
$120$	−0.00737185	−	0.281571i	−0.000672954	−	0.0257038i
$121$	−0.139802	−	0.612512i	−0.0127093	−	0.0556829i
$122$	0.305355	−	0.648491i	0.0276456	−	0.0587116i
$123$	−7.21479	+	5.75361i	−0.650536	+	0.518785i
$124$	−4.53580	−	2.08762i	−0.407327	−	0.187474i
$125$	0.969915	−	0.221377i	0.0867518	−	0.0198005i
$126$	1.78225	+	3.28992i	0.158775	+	0.293090i
$127$	−0.415526	−	0.0948410i	−0.0368719	−	0.00841578i	0.204045	−	0.978961i	$-0.434591\pi$
$127$	−0.415526	−	0.0948410i	−0.0368719	−	0.00841578i	−0.240917	+	0.970546i	$0.577448\pi$
$128$	11.2926	−	0.690559i	0.998135	−	0.0610374i
$129$		−	11.0796i		−	0.975501i
$130$	0.0141047	+	0.0594029i	0.00123707	+	0.00520998i
$131$	−3.08635	+	1.48631i	−0.269656	+	0.129859i	−0.563826	−	0.825894i	$-0.690671\pi$
$131$	−3.08635	+	1.48631i	−0.269656	+	0.129859i	0.294170	+	0.955753i	$0.404957\pi$
$132$	−0.112391	−	6.44006i	−0.00978238	−	0.560535i
$133$	0.0300092	+	0.770121i	0.00260213	+	0.0667779i
$134$	−10.4678	−	2.29331i	−0.904282	−	0.198112i
$135$	0.0970877	+	0.0221596i	0.00835598	+	0.00190720i
$136$	3.91374	−	3.29231i	0.335600	−	0.282313i
$137$	13.2872	−	6.39879i	1.13520	−	0.546686i	0.230647	−	0.973037i	$-0.425916\pi$
$137$	13.2872	−	6.39879i	1.13520	−	0.546686i	0.904557	+	0.426352i	$0.140201\pi$
$138$	−5.40100	+	11.4702i	−0.459763	+	0.976411i
$139$	−13.6333	−	6.56547i	−1.15637	−	0.556876i	−0.245425	−	0.969415i	$-0.578928\pi$
$139$	−13.6333	−	6.56547i	−1.15637	−	0.556876i	−0.910940	+	0.412539i	$0.864642\pi$
$140$	0.351249	+	0.392813i	0.0296860	+	0.0331988i
$141$	5.71189	−	2.75070i	0.481028	−	0.231651i
$142$	−0.0220549	−	2.52771i	−0.00185081	−	0.212121i
$143$	0.310676	+	1.36116i	0.0259800	+	0.113826i
$144$	−0.753469	+	3.92839i	−0.0627891	+	0.327366i
$145$	−0.0703993	−	0.0561416i	−0.00584635	−	0.00466231i
$146$	−8.92466	−	18.1260i	−0.738610	−	1.50012i
$147$	−6.52400	−	2.53721i	−0.538090	−	0.209266i
$148$	4.78231	−	6.21633i	0.393104	−	0.510979i
$149$	5.80456	−	7.27869i	0.475528	−	0.596293i	−0.484987	−	0.874521i	$-0.661176\pi$
$149$	5.80456	−	7.27869i	0.475528	−	0.596293i	0.960515	+	0.278228i	$0.0897471\pi$
$150$	−7.05677	+	0.0615722i	−0.576183	+	0.00502735i
$151$	12.9126	−	2.94721i	1.05081	−	0.239840i	0.337962	−	0.941160i	$-0.390262\pi$
$151$	12.9126	−	2.94721i	1.05081	−	0.239840i	0.712847	+	0.701319i	$0.247405\pi$
$152$	−0.496670	+	0.657390i	−0.0402852	+	0.0533213i
$153$	0.784547	+	1.62913i	0.0634269	+	0.131707i
$154$	7.95352	+	9.05239i	0.640913	+	0.729463i
$155$	0.107873	−	0.224000i	0.00866453	−	0.0179921i
$156$	−0.0151292	−	0.866911i	−0.00121131	−	0.0694084i
$157$	−9.20136	−	19.1068i	−0.734348	−	1.52489i	−0.847198	−	0.531278i	$-0.821712\pi$
$157$	−9.20136	−	19.1068i	−0.734348	−	1.52489i	0.112849	−	0.993612i	$-0.464002\pi$
$158$	−5.61472	−	1.23008i	−0.446684	−	0.0978603i
$159$	1.58701	−	6.95314i	0.125858	−	0.551420i
$160$	0.0245678	+	0.562799i	0.00194226	+	0.0444932i
$161$	−6.17431	−	22.9010i	−0.486603	−	1.80485i
$162$	−1.27947	−	0.602464i	−0.100524	−	0.0473340i
$163$	5.23935	+	10.8796i	0.410378	+	0.852158i	0.999041	+	0.0437797i	$0.0139400\pi$
$163$	5.23935	+	10.8796i	0.410378	+	0.852158i	−0.588664	+	0.808378i	$0.700346\pi$
$164$	14.2266	−	11.7572i	1.11091	−	0.918086i
$165$	0.320714			0.0249675
$166$	19.9789	−	9.83699i	1.55066	−	0.763498i
$167$	−2.22077	+	9.72981i	−0.171848	+	0.752915i	0.813389	+	0.581720i	$0.197620\pi$
$167$	−2.22077	+	9.72981i	−0.171848	+	0.752915i	−0.985237	+	0.171195i	$0.945237\pi$
$168$	−3.67877	−	6.51665i	−0.283823	−	0.502770i
$169$	−2.85095	−	12.4908i	−0.219304	−	0.960833i
$170$	0.160506	+	0.197705i	0.0123103	+	0.0151633i
$171$	−0.181622	−	0.227747i	−0.0138890	−	0.0174162i
$172$	0.386659	+	22.1557i	0.0294825	+	1.68936i
$173$	12.3035	−	2.80818i	0.935415	−	0.213502i	0.272465	−	0.962166i	$-0.412161\pi$
$173$	12.3035	−	2.80818i	0.935415	−	0.213502i	0.662950	+	0.748663i	$0.269304\pi$
$174$	0.805967	+	0.992756i	0.0611002	+	0.0752607i
$175$	9.99380	−	8.62731i	0.755460	−	0.652163i
$176$	0.449495	+	12.8742i	0.0338820	+	0.970431i
$177$	11.8980			0.894309
$178$	2.43572	+	4.94695i	0.182565	+	0.370789i
$179$	1.27626	+	0.291299i	0.0953923	+	0.0217727i	0.269951	−	0.962874i	$-0.412993\pi$
$179$	1.27626	+	0.291299i	0.0953923	+	0.0217727i	−0.174558	+	0.984647i	$0.555850\pi$
$180$	−0.194919	−	0.0409243i	−0.0145284	−	0.00305032i
$181$	−18.1571	+	14.4798i	−1.34961	+	1.07628i	−0.359926	+	0.932981i	$0.617198\pi$
$181$	−18.1571	+	14.4798i	−1.34961	+	1.07628i	−0.989680	+	0.143294i	$0.954230\pi$
$182$	1.07064	+	1.21856i	0.0793612	+	0.0903259i
$183$	−0.396267	−	0.316012i	−0.0292929	−	0.0233603i
$184$	10.4001	−	23.1255i	0.766702	−	1.70483i
$185$	0.305323	+	0.243487i	0.0224478	+	0.0179015i
$186$	−2.17719	+	2.77951i	−0.159639	+	0.203804i
$187$	3.63079	+	4.55286i	0.265510	+	0.332938i
$188$	−11.3260	+	5.69990i	−0.826036	+	0.415708i
$189$	2.55454	−	0.688724i	0.185815	−	0.0500973i
$190$	−0.0322964	−	0.0252977i	−0.00234303	−	0.00183529i
$191$	−5.12907	+	10.6506i	−0.371126	+	0.770652i	−0.999976	−	0.00687470i	$-0.997812\pi$
$191$	−5.12907	+	10.6506i	−0.371126	+	0.770652i	0.628850	+	0.777527i	$0.283526\pi$
$192$	1.36961	−	7.88189i	0.0988433	−	0.568826i
$193$	4.61141	+	2.22074i	0.331937	+	0.159852i	0.592427	−	0.805624i	$-0.298170\pi$
$193$	4.61141	+	2.22074i	0.331937	+	0.159852i	−0.260490	+	0.965477i	$0.583884\pi$
$194$	−6.40529	−	1.40328i	−0.459873	−	0.100750i
$195$	0.0431720			0.00309161
$196$	13.1346	+	4.84597i	0.938183	+	0.346141i
$197$	−20.4863			−1.45959			−0.729795	−	0.683666i	$-0.760384\pi$
$197$	−20.4863			−1.45959			−0.729795	+	0.683666i	$0.760384\pi$
$198$	−4.44898	−	0.974692i	−0.316175	−	0.0692683i
$199$	−16.8766	−	8.12736i	−1.19635	−	0.576133i	−0.273719	−	0.961810i	$-0.588254\pi$
$199$	−16.8766	−	8.12736i	−1.19635	−	0.576133i	−0.922634	+	0.385677i	$0.873968\pi$
$200$	14.1093	−	0.369396i	0.997675	−	0.0261202i
$201$	−3.28772	+	6.82702i	−0.231898	+	0.481541i
$202$	−12.3007	−	9.63509i	−0.865472	−	0.677922i
$203$	−2.35126	−	0.441116i	−0.165026	−	0.0309603i
$204$	−1.62571	−	3.23038i	−0.113822	−	0.226172i
$205$	0.572970	+	0.718482i	0.0400180	+	0.0501809i
$206$	2.61700	−	3.34101i	0.182335	−	0.232779i
$207$	7.00900	+	5.58949i	0.487159	+	0.388496i
$208$	0.0605076	+	1.73303i	0.00419545	+	0.120164i
$209$	−0.733463	−	0.584917i	−0.0507347	−	0.0404596i
$210$	0.327625	−	0.177484i	0.0226083	−	0.0122476i
$211$	−8.71002	+	6.94601i	−0.599623	+	0.478183i	−0.875637	−	0.482971i	$-0.839558\pi$
$211$	−8.71002	+	6.94601i	−0.599623	+	0.478183i	0.276014	+	0.961154i	$0.410986\pi$
$212$	−2.93088	+	13.9596i	−0.201294	+	0.958746i
$213$	−1.74261	−	0.397740i	−0.119402	−	0.0272527i
$214$	−2.33985	−	4.75223i	−0.159949	−	0.324856i
$215$	−1.10335			−0.0752480
$216$	2.57957	+	1.16009i	0.175518	+	0.0789343i
$217$	−0.257194	−	6.60033i	−0.0174595	−	0.448059i
$218$	5.90877	+	7.27817i	0.400192	+	0.492940i
$219$	−13.9282	+	3.17902i	−0.941179	+	0.214818i
$220$	−0.641330	+	0.0111924i	−0.0432385	+	0.000754591i
$221$	0.488749	+	0.612872i	0.0328768	+	0.0412262i
$222$	−3.49549	−	4.30560i	−0.234602	−	0.288973i
$223$	−3.75803	−	16.4650i	−0.251656	−	1.10258i	−0.929921	−	0.367760i	$-0.880125\pi$
$223$	−3.75803	−	16.4650i	−0.251656	−	1.10258i	0.678264	−	0.734818i	$-0.262732\pi$
$224$	7.58383	+	12.9029i	0.506716	+	0.862113i
$225$	−1.11040	+	4.86497i	−0.0740265	+	0.324331i
$226$	−4.42274	+	2.17762i	−0.294196	+	0.144853i
$227$	−12.9783			−0.861398			−0.430699	−	0.902496i	$-0.641733\pi$
$227$	−12.9783			−0.861398			−0.430699	+	0.902496i	$0.641733\pi$
$228$	0.371137	+	0.449086i	0.0245791	+	0.0297415i
$229$	−3.93075	−	8.16229i	−0.259751	−	0.539379i	0.729783	−	0.683679i	$-0.239621\pi$
$229$	−3.93075	−	8.16229i	−0.259751	−	0.539379i	−0.989534	+	0.144300i	$0.953907\pi$
$230$	1.14226	+	0.537856i	0.0753182	+	0.0354652i
$231$	7.52710	−	3.99310i	0.495247	−	0.262727i
$232$	−1.64633	−	1.95708i	−0.108087	−	0.128489i
$233$	−4.46702	+	19.5713i	−0.292644	+	1.28216i	0.588186	+	0.808725i	$0.299842\pi$
$233$	−4.46702	+	19.5713i	−0.292644	+	1.28216i	−0.880830	+	0.473432i	$0.843015\pi$
$234$	−0.598888	−	0.131205i	−0.0391505	−	0.00857717i
$235$	−0.273927	−	0.568816i	−0.0178690	−	0.0371054i
$236$	−23.7924	+	0.415222i	−1.54875	+	0.0270286i
$237$	−1.76346	+	3.66187i	−0.114549	+	0.237864i
$238$	6.22861	+	2.64169i	0.403741	+	0.171235i
$239$	8.61501	+	17.8893i	0.557259	+	1.15716i	0.969274	+	0.245983i	$0.0791107\pi$
$239$	8.61501	+	17.8893i	0.557259	+	1.15716i	−0.412015	+	0.911177i	$0.635175\pi$
$240$	0.391207	+	0.0750338i	0.0252523	+	0.00484341i
$241$	−25.6883	+	5.86318i	−1.65473	+	0.377680i	−0.945070	−	0.326868i	$-0.894007\pi$
$241$	−25.6883	+	5.86318i	−1.65473	+	0.377680i	−0.709656	+	0.704548i	$0.751150\pi$
$242$	0.888465	−	0.00775210i	0.0571127	−	0.000498324i
$243$	−0.623490	+	0.781831i	−0.0399969	+	0.0501545i
$244$	0.803441	+	0.618099i	0.0514351	+	0.0395697i
$245$	−0.252667	+	0.649689i	−0.0161423	+	0.0415071i
$246$	−5.76475	−	11.7082i	−0.367547	−	0.746488i
$247$	−0.0987331	−	0.0787370i	−0.00628224	−	0.00500992i
$248$	4.25671	−	5.63416i	0.270301	−	0.357770i
$249$	−3.50399	−	15.3520i	−0.222056	−	0.972893i
$250$	0.0122755	+	1.40689i	0.000776369	+	0.0889794i
$251$	−26.9847	+	12.9951i	−1.70326	+	0.820246i	−0.710016	+	0.704185i	$0.751312\pi$
$251$	−26.9847	+	12.9951i	−1.70326	+	0.820246i	−0.993242	+	0.116061i	$0.962973\pi$
$252$	−5.08426	+	1.46639i	−0.320278	+	0.0923737i
$253$	26.0123	+	12.5269i	1.63538	+	0.787556i
$254$	0.256777	−	0.545324i	0.0161116	−	0.0342167i
$255$	0.162236	−	0.0781288i	0.0101596	−	0.00489261i
$256$	−2.46374	+	15.8092i	−0.153984	+	0.988073i
$257$	19.5395	+	4.45977i	1.21884	+	0.278193i	0.783110	−	0.621883i	$-0.213632\pi$
$257$	19.5395	+	4.45977i	1.21884	+	0.278193i	0.435733	+	0.900076i	$0.356489\pi$
$258$	15.3059	+	3.35324i	0.952901	+	0.208763i
$259$	10.1975	+	1.91313i	0.633639	+	0.118876i
$260$	−0.0863309	+	0.00150663i	−0.00535401	+	9.34375e-5i
$261$	0.814654	−	0.392317i	0.0504258	−	0.0242838i
$262$	−1.11917	−	4.71347i	−0.0691428	−	0.291199i
$263$			15.2041i			0.937526i	0.883324	+	0.468763i	$0.155300\pi$
$263$			15.2041i			0.937526i	−0.883324	+	0.468763i	$0.844700\pi$
$264$	8.93063	+	1.79382i	0.549642	+	0.110402i
$265$	−0.692426	−	0.158042i	−0.0425354	−	0.00970842i
$266$	−1.07297	−	0.191621i	−0.0657877	−	0.0117491i
$267$	3.80128	−	0.867618i	0.232635	−	0.0530974i
$268$	6.33618	−	13.7667i	0.387044	−	0.840934i
$269$	−7.86310	+	6.27061i	−0.479421	+	0.382326i	−0.833172	−	0.553014i	$-0.813478\pi$
$269$	−7.86310	+	6.27061i	−0.479421	+	0.382326i	0.353751	+	0.935340i	$0.384906\pi$
$270$	−0.0599961	+	0.127415i	−0.00365125	+	0.00775424i
$271$	2.19942	+	9.63628i	0.133605	+	0.585363i	0.996761	+	0.0804244i	$0.0256276\pi$
$271$	2.19942	+	9.63628i	0.133605	+	0.585363i	−0.863156	+	0.504938i	$0.831515\pi$
$272$	3.36366	+	6.40305i	0.203952	+	0.388242i
$273$	1.01324	−	0.537521i	0.0613241	−	0.0325322i
$274$	4.81822	+	20.2922i	0.291079	+	1.22590i
$275$			16.0707i			0.969097i
$276$	−14.2109	−	10.9327i	−0.855397	−	0.658070i
$277$	−1.83330	+	8.03219i	−0.110152	+	0.482608i	0.889517	+	0.456901i	$0.151041\pi$
$277$	−1.83330	+	8.03219i	−0.110152	+	0.482608i	−0.999670	+	0.0257065i	$0.991816\pi$
$278$	13.1960	−	16.8467i	0.791444	−	1.01040i
$279$	1.55659	+	1.95191i	0.0931908	+	0.116858i
$280$	−0.648957	+	0.366348i	−0.0387826	+	0.0218935i
$281$	−3.05972	+	3.83676i	−0.182527	+	0.228882i	−0.864674	−	0.502333i	$-0.832475\pi$
$281$	−3.05972	+	3.83676i	−0.182527	+	0.228882i	0.682147	+	0.731215i	$0.261047\pi$
$282$	2.07125	+	8.72319i	0.123341	+	0.519458i
$283$	6.50037	−	8.15120i	0.386407	−	0.484539i	−0.550144	−	0.835069i	$-0.685427\pi$
$283$	6.50037	−	8.15120i	0.386407	−	0.484539i	0.936551	+	0.350531i	$0.113999\pi$
$284$	3.49858	+	0.734545i	0.207602	+	0.0435872i
$285$	−0.0226801	+	0.0180867i	−0.00134345	+	0.00107137i
$286$	−1.97440	+	0.0172271i	−0.116749	+	0.00101866i
$287$	22.3931	+	9.72880i	1.32182	+	0.574273i
$288$	−5.19884	−	2.22981i	−0.306345	−	0.131393i
$289$	−12.3707	−	5.95741i	−0.727687	−	0.350436i
$290$	0.0988632	−	0.0802618i	0.00580544	−	0.00471314i
$291$	−2.01176	+	4.17747i	−0.117932	+	0.244888i
$292$	27.7412	−	6.84313i	1.62343	−	0.400464i
$293$		−	7.51453i		−	0.439004i	−0.975612	−	0.219502i	$-0.929557\pi$
$293$		−	7.51453i		−	0.439004i	0.975612	−	0.219502i	$-0.0704432\pi$
$294$	5.47952	−	8.24469i	0.319572	−	0.480840i
$295$		−	1.18486i		−	0.0689851i
$296$	7.14017	+	8.48790i	0.415014	+	0.493349i
$297$	−1.39733	+	2.90159i	−0.0810813	+	0.168367i
$298$	8.29838	+	10.2216i	0.480712	+	0.592122i
$299$	3.50157	+	1.68627i	0.202501	+	0.0975194i
$300$	2.05068	−	9.76721i	0.118396	−	0.563910i
$301$	−25.8955	+	13.7375i	−1.49259	+	0.791815i
$302$	0.163424	+	18.7300i	0.00940402	+	1.07779i
$303$	−8.63811	+	6.88867i	−0.496247	+	0.395743i
$304$	−0.757833	−	0.885083i	−0.0434647	−	0.0507630i
$305$	−0.0314699	+	0.0394620i	−0.00180196	+	0.00225959i
$306$	−2.48800	+	0.590756i	−0.142230	+	0.0337713i
$307$	−4.49049	+	5.63090i	−0.256286	+	0.321372i	−0.893284	−	0.449493i	$-0.851605\pi$
$307$	−4.49049	+	5.63090i	−0.256286	+	0.321372i	0.636998	+	0.770866i	$0.280176\pi$
$308$	−14.9126	+	8.24767i	−0.849722	+	0.469955i
$309$	−1.87104	−	2.34621i	−0.106440	−	0.133471i
$310$	0.276797	+	0.216814i	0.0157210	+	0.0123142i
$311$	6.27818	−	27.5065i	0.356003	−	1.55975i	−0.407044	−	0.913409i	$-0.633440\pi$
$311$	6.27818	−	27.5065i	0.356003	−	1.55975i	0.763047	−	0.646343i	$-0.223702\pi$
$312$	1.20217	+	0.241471i	0.0680596	+	0.0136706i
$313$		−	6.93212i		−	0.391827i	−0.980621	−	0.195913i	$-0.937233\pi$
$313$		−	6.93212i		−	0.391827i	0.980621	−	0.195913i	$-0.0627671\pi$
$314$	29.1799	−	6.92852i	1.64672	−	0.390999i
$315$	−0.0685863	−	0.254392i	−0.00386440	−	0.0143334i
$316$	3.39860	−	7.38417i	0.191186	−	0.415392i
$317$	3.96119	+	17.3551i	0.222483	+	0.974760i	0.955602	+	0.294660i	$0.0952064\pi$
$317$	3.96119	+	17.3551i	0.222483	+	0.974760i	−0.733120	+	0.680100i	$0.761936\pi$
$318$	9.12511	+	4.29675i	0.511711	+	0.240950i
$319$	2.27668	−	1.81559i	0.127470	−	0.101654i
$320$	−0.784914	−	0.136392i	−0.0438780	−	0.00762456i
$321$	−3.65166	+	0.833468i	−0.203816	+	0.0465197i
$322$	33.5053	−	1.59848i	1.86718	−	0.0890798i
$323$	−0.513520	−	0.117208i	−0.0285730	−	0.00652161i
$324$	1.21951	−	1.58518i	0.0677503	−	0.0880658i
$325$			2.16331i			0.119999i
$326$	−16.6153	+	3.94517i	−0.920239	+	0.218503i
$327$	5.97245	−	2.87618i	0.330277	−	0.159053i
$328$	11.9363	+	23.2117i	0.659075	+	1.28165i
$329$	−13.5112	−	9.93944i	−0.744895	−	0.547979i
$330$	−0.0970642	+	0.443050i	−0.00534321	+	0.0243891i
$331$	−8.13197	−	1.85607i	−0.446974	−	0.102019i	−0.00689126	−	0.999976i	$-0.502194\pi$
$331$	−8.13197	−	1.85607i	−0.446974	−	0.102019i	−0.440082	+	0.897957i	$0.645051\pi$
$332$	7.54268	+	30.5770i	0.413958	+	1.67813i
$333$	−3.53317	+	1.70148i	−0.193616	+	0.0932407i
$334$	−12.7691	−	6.01261i	−0.698695	−	0.328995i
$335$	0.679865	+	0.327406i	0.0371450	+	0.0178881i
$336$	10.1158	−	3.10976i	0.551862	−	0.169651i
$337$	27.4735	−	13.2305i	1.49657	−	0.720712i	0.506629	−	0.862164i	$-0.330891\pi$
$337$	27.4735	−	13.2305i	1.49657	−	0.720712i	0.989945	+	0.141452i	$0.0451770\pi$
$338$	18.1183	−	0.158087i	0.985506	−	0.00859880i
$339$	0.775680	+	3.39847i	0.0421291	+	0.184580i
$340$	−0.321696	+	0.161896i	−0.0174464	+	0.00878002i
$341$	6.28615	+	5.01304i	0.340414	+	0.271471i
$342$	0.369589	−	0.181974i	0.0199851	−	0.00984003i
$343$	2.15901	+	18.3940i	0.116576	+	0.993182i
$344$	−30.7241	−	6.17130i	−1.65653	−	0.332734i
$345$	0.556627	−	0.697988i	0.0299678	−	0.0375784i
$346$	0.155716	+	17.8465i	0.00837132	+	0.959434i
$347$	6.82725	−	1.55827i	0.366506	−	0.0836525i	−0.0353018	−	0.999377i	$-0.511239\pi$
$347$	6.82725	−	1.55827i	0.366506	−	0.0836525i	0.401807	+	0.915724i	$0.368382\pi$
$348$	−1.61537	+	0.812944i	−0.0865929	+	0.0435784i
$349$	4.60062	+	9.55328i	0.246265	+	0.511375i	0.987059	−	0.160357i	$-0.0512647\pi$
$349$	4.60062	+	9.55328i	0.246265	+	0.511375i	−0.740794	+	0.671733i	$0.765550\pi$
$350$	8.89356	+	16.4170i	0.475381	+	0.877525i
$351$	−0.188098	+	0.390589i	−0.0100399	+	0.0208481i
$352$	−17.9211	−	3.27544i	−0.955200	−	0.174581i
$353$	4.58771	+	9.52648i	0.244179	+	0.507043i	0.986654	−	0.162831i	$-0.0520624\pi$
$353$	4.58771	+	9.52648i	0.244179	+	0.507043i	−0.742475	+	0.669874i	$0.766348\pi$
$354$	−3.60094	+	16.4365i	−0.191388	+	0.873590i
$355$	−0.0396088	+	0.173537i	−0.00210222	+	0.00921041i
$356$	−7.57113	+	1.86763i	−0.401269	+	0.0989843i
$357$	2.83490	−	3.85362i	0.150039	−	0.203955i
$358$	−0.788676	+	1.67493i	−0.0416828	+	0.0885228i
$359$	−1.99649	−	4.14575i	−0.105371	−	0.218805i	0.841617	−	0.540075i	$-0.181604\pi$
$359$	−1.99649	−	4.14575i	−0.105371	−	0.218805i	−0.946987	+	0.321271i	$0.895890\pi$
$360$	0.115527	−	0.256885i	0.00608882	−	0.0135390i
$361$	−18.9151			−0.995534
$362$	−14.5079	−	29.4654i	−0.762516	−	1.54867i
$363$	0.139802	−	0.612512i	0.00733769	−	0.0321485i
$364$	−2.00741	+	1.11024i	−0.105217	+	0.0581923i
$365$	0.316581	+	1.38703i	0.0165706	+	0.0726005i
$366$	0.556485	−	0.451781i	0.0290880	−	0.0236150i
$367$	−5.06983	−	6.35737i	−0.264643	−	0.331852i	0.631700	−	0.775213i	$-0.282357\pi$
$367$	−5.06983	−	6.35737i	−0.264643	−	0.331852i	−0.896343	+	0.443361i	$0.853786\pi$
$368$	28.7991	+	21.3661i	1.50125	+	1.11378i
$369$	−8.99670	+	2.05344i	−0.468349	+	0.106898i
$370$	−0.428771	+	0.348097i	−0.0222907	+	0.0180967i
$371$	−18.2188	+	4.91195i	−0.945876	+	0.255016i
$372$	−3.18083	−	3.84890i	−0.164918	−	0.199556i
$373$	19.3603			1.00244			0.501219	−	0.865321i	$-0.332885\pi$
$373$	19.3603			1.00244			0.501219	+	0.865321i	$0.332885\pi$
$374$	−7.38841	+	3.63782i	−0.382046	+	0.188107i
$375$	0.969915	+	0.221377i	0.0500862	+	0.0114318i
$376$	−4.44629	−	17.3714i	−0.229300	−	0.895863i
$377$	0.306469	−	0.244401i	0.0157840	−	0.0125873i
$378$	0.178305	+	3.73741i	0.00917104	+	0.192231i
$379$	−21.8478	−	17.4231i	−1.12225	−	0.894963i	−0.126958	−	0.991908i	$-0.540521\pi$
$379$	−21.8478	−	17.4231i	−1.12225	−	0.894963i	−0.995290	+	0.0969453i	$0.969093\pi$
$380$	0.0447220	−	0.0369595i	0.00229419	−	0.00189598i
$381$	−0.333226	−	0.265739i	−0.0170717	−	0.0136142i
$382$	−13.1610	−	10.3090i	−0.673374	−	0.527453i
$383$	1.53609	+	1.92620i	0.0784907	+	0.0984242i	0.819526	−	0.573041i	$-0.194237\pi$
$383$	1.53609	+	1.92620i	0.0784907	+	0.0984242i	−0.741036	+	0.671466i	$0.765665\pi$
$384$	10.4739	+	4.27751i	0.534495	+	0.218286i
$385$	−0.397651	−	0.749583i	−0.0202662	−	0.0382023i
$386$	−4.46349	+	5.69833i	−0.227186	+	0.290037i
$387$	4.80724	−	9.98234i	0.244366	−	0.507431i
$388$	3.87713	−	8.42388i	0.196831	−	0.427658i
$389$	11.5003	+	5.53824i	0.583088	+	0.280800i	0.702084	−	0.712095i	$-0.252253\pi$
$389$	11.5003	+	5.53824i	0.583088	+	0.280800i	−0.118996	+	0.992895i	$0.537968\pi$
$390$	−0.0130660	+	0.0596400i	−0.000661624	+	0.00301999i
$391$	16.2102			0.819786
$392$	−10.6696	+	16.6781i	−0.538899	+	0.842371i
$393$	−3.42559			−0.172798
$394$	6.20019	−	28.3008i	0.312361	−	1.42577i
$395$	0.364666	+	0.175614i	0.0183483	+	0.00883609i
$396$	2.69297	−	5.85105i	0.135327	−	0.294027i
$397$	−1.18100	+	2.45238i	−0.0592728	+	0.123081i	−0.928501	−	0.371330i	$-0.878902\pi$
$397$	−1.18100	+	2.45238i	−0.0592728	+	0.123081i	0.869228	+	0.494411i	$0.164616\pi$
$398$	16.3353	−	20.8545i	0.818812	−	1.04534i
$399$	−0.307106	+	0.706875i	−0.0153745	+	0.0353880i
$400$	−3.75987	+	19.6030i	−0.187994	+	0.980151i
$401$	15.0268	+	18.8430i	0.750402	+	0.940974i	0.999623	−	0.0274725i	$-0.00874588\pi$
$401$	15.0268	+	18.8430i	0.750402	+	0.940974i	−0.249221	+	0.968447i	$0.580174\pi$
$402$	−8.43615	−	6.60802i	−0.420757	−	0.329578i
$403$	0.846193	+	0.674816i	0.0421519	+	0.0336150i
$404$	17.0332	−	14.0767i	0.847433	−	0.700341i
$405$	0.0778583	+	0.0620899i	0.00386881	+	0.00308527i
$406$	1.32099	−	3.11465i	0.0655596	−	0.154577i
$407$	−9.87400	+	7.87425i	−0.489436	+	0.390312i
$408$	4.95463	−	1.26816i	0.245291	−	0.0627832i
$409$	−23.5080	−	5.36555i	−1.16240	−	0.265309i	−0.402541	−	0.915402i	$-0.631873\pi$
$409$	−23.5080	−	5.36555i	−1.16240	−	0.265309i	−0.759855	+	0.650092i	$0.774730\pi$
$410$	−1.16596	+	0.574080i	−0.0575825	+	0.0283518i
$411$	14.7477			0.727451
$412$	3.82339	+	4.62641i	0.188365	+	0.227927i
$413$	−14.7523	−	27.8084i	−0.725912	−	1.36836i
$414$	−9.84288	+	7.99092i	−0.483751	+	0.392732i
$415$	−1.52882	+	0.348943i	−0.0750469	+	0.0171290i
$416$	−2.41241	−	0.440914i	−0.118278	−	0.0216176i
$417$	−9.43457	−	11.8306i	−0.462013	−	0.579346i
$418$	1.03002	−	0.836216i	0.0503798	−	0.0409007i
$419$	1.89739	+	8.31300i	0.0926934	+	0.406116i	0.999894	−	0.0145827i	$-0.00464197\pi$
$419$	1.89739	+	8.31300i	0.0926934	+	0.406116i	−0.907200	+	0.420699i	$0.861785\pi$
$420$	0.146030	+	0.506314i	0.00712551	+	0.0247056i
$421$	4.12697	−	18.0814i	0.201136	−	0.881236i	−0.769110	−	0.639116i	$-0.779300\pi$
$421$	4.12697	−	18.0814i	0.201136	−	0.881236i	0.970246	−	0.242119i	$-0.0778426\pi$
$422$	−6.95947	−	14.1347i	−0.338782	−	0.688065i
$423$	6.33972			0.308248
$424$	−18.3974	−	8.27373i	−0.893456	−	0.401808i
$425$	3.91496	+	8.12949i	0.189903	+	0.394338i
$426$	1.07686	−	2.28696i	0.0521741	−	0.110803i
$427$	−0.247266	+	1.31799i	−0.0119660	+	0.0637820i
$428$	7.27313	−	1.79412i	0.351560	−	0.0867221i
$429$	−0.310676	+	1.36116i	−0.0149996	+	0.0657174i
$430$	0.333930	−	1.52423i	0.0161036	−	0.0735047i
$431$	−7.43353	−	15.4359i	−0.358061	−	0.743521i	0.641664	−	0.766986i	$-0.278244\pi$
$431$	−7.43353	−	15.4359i	−0.358061	−	0.743521i	−0.999725	+	0.0234652i	$0.992530\pi$
$432$	−2.38332	+	3.21244i	−0.114667	+	0.154559i
$433$	−11.8997	+	24.7100i	−0.571863	+	1.18748i	0.391723	+	0.920083i	$0.371879\pi$
$433$	−11.8997	+	24.7100i	−0.571863	+	1.18748i	−0.963585	+	0.267402i	$0.913835\pi$
$434$	9.19586	+	1.64229i	0.441415	+	0.0788325i
$435$	−0.0390687	−	0.0811269i	−0.00187320	−	0.00388974i
$436$	−11.8427	+	5.95992i	−0.567163	+	0.285428i
$437$	−2.54598	+	0.581103i	−0.121791	+	0.0277979i
$438$	−0.176278	−	20.2032i	−0.00842290	−	0.965346i
$439$	−3.77614	+	4.73513i	−0.180225	+	0.225995i	−0.863735	−	0.503946i	$-0.831881\pi$
$439$	−3.77614	+	4.73513i	−0.180225	+	0.225995i	0.683510	+	0.729941i	$0.260453\pi$
$440$	0.178637	−	0.889352i	0.00851619	−	0.0423982i
$441$	−4.77707	−	5.11661i	−0.227479	−	0.243648i
$442$	−0.994571	+	0.489696i	−0.0473069	+	0.0232925i
$443$	−17.8627	−	14.2450i	−0.848681	−	0.676800i	0.0993245	−	0.995055i	$-0.468332\pi$
$443$	−17.8627	−	14.2450i	−0.848681	−	0.676800i	−0.948005	+	0.318255i	$0.896903\pi$
$444$	7.00588	−	3.52575i	0.332484	−	0.167325i
$445$	−0.0864014	−	0.378549i	−0.00409582	−	0.0179449i
$446$	23.8829	−	0.208385i	1.13089	−	0.00986731i
$447$	8.38783	−	4.03937i	0.396731	−	0.191055i
$448$	−20.1200	+	6.57160i	−0.950580	+	0.310479i
$449$	28.7190	+	13.8303i	1.35533	+	0.652694i	0.963591	−	0.267382i	$-0.0861584\pi$
$449$	28.7190	+	13.8303i	1.35533	+	0.652694i	0.391742	+	0.920075i	$0.371873\pi$
$450$	−6.38465	−	3.00634i	−0.300975	−	0.141720i
$451$	−26.7760	+	12.8947i	−1.26083	+	0.607186i
$452$	−1.66972	−	6.76885i	−0.0785372	−	0.318380i
$453$	12.9126	+	2.94721i	0.606685	+	0.138472i
$454$	3.92788	−	17.9288i	0.184345	−	0.841442i
$455$	−0.0535287	−	0.100903i	−0.00250947	−	0.00473041i
$456$	−0.732715	+	0.376791i	−0.0343125	+	0.0176448i
$457$	−17.0128	+	8.19293i	−0.795825	+	0.383249i	−0.787188	−	0.616714i	$-0.788464\pi$
$457$	−17.0128	+	8.19293i	−0.795825	+	0.383249i	−0.00863743	+	0.999963i	$0.502749\pi$
$458$	12.4654	−	2.95981i	0.582471	−	0.138303i
$459$			1.80820i			0.0843994i
$460$	−1.08873	+	1.41519i	−0.0507621	+	0.0659835i
$461$	−8.87806	−	2.02636i	−0.413492	−	0.0943769i	0.0107137	−	0.999943i	$-0.496590\pi$
$461$	−8.87806	−	2.02636i	−0.413492	−	0.0943769i	−0.424206	+	0.905566i	$0.639447\pi$
$462$	3.23819	+	11.6068i	0.150654	+	0.539999i
$463$	28.1302	−	6.42053i	1.30732	−	0.298387i	0.488563	−	0.872528i	$-0.337521\pi$
$463$	28.1302	−	6.42053i	1.30732	−	0.298387i	0.818756	+	0.574141i	$0.194664\pi$
$464$	3.20188	−	1.68201i	0.148643	−	0.0780856i
$465$	0.194380	−	0.155013i	0.00901414	−	0.00718854i
$466$	−25.6848	−	12.0942i	−1.18982	−	0.560254i
$467$	−5.51726	−	24.1727i	−0.255309	−	1.11858i	−0.926203	−	0.377026i	$-0.876947\pi$
$467$	−5.51726	−	24.1727i	−0.255309	−	1.11858i	0.670894	−	0.741553i	$-0.265911\pi$
$468$	0.362507	−	0.787624i	0.0167569	−	0.0364079i
$469$	20.0328	−	0.780613i	0.925027	−	0.0360454i
$470$	0.868694	−	0.206264i	0.0400699	−	0.00951426i
$471$		−	21.2070i		−	0.977165i
$472$	6.62717	−	32.9937i	0.305040	−	1.51866i
$473$	7.93997	−	34.7873i	0.365080	−	1.59952i
$474$	−4.52498	−	3.54441i	−0.207839	−	0.162800i
$475$	−0.906309	−	1.13648i	−0.0415843	−	0.0521451i
$476$	−5.53445	+	7.80500i	−0.253671	+	0.357742i
$477$	4.44670	−	5.57599i	0.203601	−	0.255307i
$478$	−27.3204	+	6.48701i	−1.24961	+	0.296709i
$479$	7.52756	−	9.43927i	0.343943	−	0.431291i	−0.579532	−	0.814950i	$-0.696765\pi$
$479$	7.52756	−	9.43927i	0.343943	−	0.431291i	0.923475	+	0.383659i	$0.125336\pi$
$480$	−0.222055	+	0.517724i	−0.0101354	+	0.0236308i
$481$	−1.32916	+	1.05997i	−0.0606046	+	0.0483305i
$482$	−0.325117	−	37.2615i	−0.0148087	−	1.69722i
$483$	4.37353	−	23.3120i	0.199002	−	1.06073i
$484$	−0.258185	+	1.22972i	−0.0117357	+	0.0558962i
$485$	0.416012	+	0.200341i	0.0188901	+	0.00909700i
$486$	−0.891361	−	1.09794i	−0.0404330	−	0.0498036i
$487$	13.4428	−	27.9143i	0.609153	−	1.26492i	−0.337093	−	0.941471i	$-0.609444\pi$
$487$	13.4428	−	27.9143i	0.609153	−	1.26492i	0.946246	−	0.323448i	$-0.104842\pi$
$488$	−1.09703	+	0.922846i	−0.0496604	+	0.0417753i
$489$			12.0755i			0.546072i
$490$	−0.821043	−	0.545676i	−0.0370909	−	0.0246511i
$491$			21.2953i			0.961042i	0.876983	+	0.480521i	$0.159552\pi$
$491$			21.2953i			0.961042i	−0.876983	+	0.480521i	$0.840448\pi$
$492$	17.9190	−	4.42022i	0.807851	−	0.199279i
$493$	0.709386	−	1.47306i	0.0319491	−	0.0663431i
$494$	0.138653	−	0.112565i	0.00623829	−	0.00506454i
$495$	0.288953	+	0.139152i	0.0129875	+	0.00625444i
$496$	6.49501	+	7.58561i	0.291635	+	0.340604i
$497$	1.23105	+	4.56605i	0.0552199	+	0.204815i
$498$	22.2685	−	0.194298i	0.997875	−	0.00870672i
$499$	−2.87794	+	2.29508i	−0.128834	+	0.102742i	−0.685787	−	0.727802i	$-0.740542\pi$
$499$	−2.87794	+	2.29508i	−0.128834	+	0.102742i	0.556953	+	0.830544i	$0.311970\pi$
$500$	−1.94726	−	0.408837i	−0.0870841	−	0.0182838i
$501$	−6.22245	+	7.80270i	−0.277998	+	0.348599i
$502$	−9.78520	−	41.2110i	−0.436735	−	1.83934i
$503$	2.69326	−	3.37725i	0.120087	−	0.150584i	−0.718154	−	0.695884i	$-0.755013\pi$
$503$	2.69326	−	3.37725i	0.120087	−	0.150584i	0.838241	+	0.545300i	$0.183584\pi$
$504$	−0.486986	−	7.46745i	−0.0216921	−	0.332627i
$505$	0.686004	+	0.860222i	0.0305268	+	0.0382794i
$506$	−25.1778	+	32.1434i	−1.11929	+	1.42895i
$507$	2.85095	−	12.4908i	0.126615	−	0.554737i
$508$	0.675624	+	0.519767i	0.0299760	+	0.0230609i
$509$		−	15.9436i		−	0.706688i	−0.935493	−	0.353344i	$-0.885045\pi$
$509$		−	15.9436i		−	0.706688i	0.935493	−	0.353344i	$-0.114955\pi$
$510$	0.0588301	+	0.247767i	0.00260504	+	0.0109713i
$511$	24.6996	+	28.6118i	1.09264	+	1.26571i
$512$	−21.0939	−	8.18819i	−0.932228	−	0.361870i
$513$	−0.0648202	−	0.283996i	−0.00286188	−	0.0125387i
$514$	−12.0746	+	25.6431i	−0.532588	+	1.13107i
$515$	−0.233646	+	0.186327i	−0.0102957	+	0.00821054i
$516$	−9.26465	+	20.1294i	−0.407853	+	0.886148i
$517$	19.9053	−	4.54325i	0.875433	−	0.199812i
$518$	−5.72915	+	13.5083i	−0.251724	+	0.593519i
$519$	12.3035	+	2.80818i	0.540062	+	0.123266i
$520$	0.0240468	−	0.119718i	0.00105452	−	0.00524997i
$521$		−	16.7274i		−	0.732841i	−0.930449	−	0.366420i	$-0.880583\pi$
$521$		−	16.7274i		−	0.732841i	0.930449	−	0.366420i	$-0.119417\pi$
$522$	0.295410	+	1.24414i	0.0129298	+	0.0544545i
$523$	−38.0435	+	18.3208i	−1.66352	+	0.801111i	−0.664998	+	0.746845i	$0.731568\pi$
$523$	−38.0435	+	18.3208i	−1.66352	+	0.801111i	−0.998527	+	0.0542658i	$0.982718\pi$
$524$	6.85014	−	0.119548i	0.299250	−	0.00522246i
$525$	12.7474	−	3.43679i	0.556340	−	0.149994i
$526$	−21.0037	−	4.60153i	−0.915805	−	0.200636i
$527$	4.40113	+	1.00453i	0.191716	+	0.0437580i
$528$	−5.18094	+	11.7943i	−0.225471	+	0.513281i
$529$	51.6872	−	24.8912i	2.24727	−	1.08223i
$530$	0.427890	−	0.908720i	0.0185863	−	0.0394723i
$531$	10.7197	+	5.16235i	0.465197	+	0.224027i
$532$	0.589449	−	1.42425i	0.0255558	−	0.0617492i
$533$	−3.60438	+	1.73578i	−0.156123	+	0.0751850i
$534$	0.0481100	+	5.51387i	0.00208192	+	0.238608i
$535$	0.0830006	+	0.363649i	0.00358843	+	0.0157219i
$536$	17.1003	+	12.9196i	0.738622	+	0.558042i
$537$	1.02348	+	0.816200i	0.0441665	+	0.0352216i
$538$	−6.28276	−	12.7603i	−0.270869	−	0.550134i
$539$	−18.6656	−	12.6416i	−0.803985	−	0.544511i
$540$	−0.157860	−	0.121444i	−0.00679320	−	0.00522611i
$541$	15.4158	−	19.3309i	0.662779	−	0.831098i	−0.330864	−	0.943678i	$-0.607340\pi$
$541$	15.4158	−	19.3309i	0.662779	−	0.831098i	0.993643	+	0.112580i	$0.0359116\pi$
$542$	−13.9777	+	0.121959i	−0.600393	+	0.00523859i
$543$	−22.6415	+	5.16778i	−0.971641	+	0.221771i
$544$	−9.86350	+	2.70884i	−0.422894	+	0.116141i
$545$	−0.286423	−	0.594764i	−0.0122690	−	0.0254769i
$546$	0.435900	+	1.56242i	0.0186548	+	0.0668655i
$547$	−5.35169	+	11.1129i	−0.228822	+	0.475154i	−0.983492	−	0.180951i	$-0.942083\pi$
$547$	−5.35169	+	11.1129i	−0.228822	+	0.475154i	0.754670	+	0.656104i	$0.227797\pi$
$548$	−29.4909	+	0.514672i	−1.25979	+	0.0219857i
$549$	−0.219912	−	0.456651i	−0.00938559	−	0.0194894i
$550$	−22.2008	−	4.86379i	−0.946645	−	0.207393i
$551$	−0.0586103	+	0.256788i	−0.00249688	+	0.0109395i
$552$	19.4039	−	16.3229i	0.825884	−	0.694749i
$553$	10.7452	−	0.418705i	0.456931	−	0.0178052i
$554$	−10.5412	−	4.96355i	−0.447853	−	0.210881i
$555$	0.169441	+	0.351849i	0.00719239	+	0.0149351i
$556$	19.2791	+	23.3283i	0.817617	+	0.989340i
$557$	−18.4403			−0.781339			−0.390670	−	0.920531i	$-0.627756\pi$
$557$	−18.4403			−0.781339			−0.390670	+	0.920531i	$0.627756\pi$
$558$	−3.16756	+	1.55961i	−0.134094	+	0.0660235i
$559$	1.06882	−	4.68280i	0.0452062	−	0.198061i
$560$	−0.309684	−	1.00738i	−0.0130865	−	0.0425694i
$561$	1.29581	+	5.67733i	0.0547093	+	0.239697i
$562$	−4.37427	−	5.38804i	−0.184517	−	0.227281i
$563$	18.8789	+	23.6734i	0.795649	+	0.997713i	0.999824	+	0.0187783i	$0.00597768\pi$
$563$	18.8789	+	23.6734i	0.795649	+	0.997713i	−0.204174	+	0.978935i	$0.565451\pi$
$564$	−12.6775	+	0.221246i	−0.533819	+	0.00931614i
$565$	0.338436	−	0.0772457i	0.0142381	−	0.00324975i
$566$	9.29313	+	11.4469i	0.390620	+	0.481149i
$567$	2.60038	+	0.487853i	0.109206	+	0.0204879i
$568$	−2.07358	+	4.61080i	−0.0870056	+	0.193465i
$569$	38.9896			1.63453			0.817265	−	0.576262i	$-0.195489\pi$
$569$	38.9896			1.63453			0.817265	+	0.576262i	$0.195489\pi$
$570$	−0.0181218	−	0.0368053i	−0.000759038	−	0.00154161i
$571$	33.2694	+	7.59351i	1.39228	+	0.317779i	0.851927	−	0.523660i	$-0.175434\pi$
$571$	33.2694	+	7.59351i	1.39228	+	0.317779i	0.540352	+	0.841439i	$0.318291\pi$
$572$	0.573754	−	2.73274i	0.0239899	−	0.114262i
$573$	−9.24226	+	7.37046i	−0.386101	+	0.307905i
$574$	−20.2171	+	27.9905i	−0.843847	+	1.16830i
$575$	34.9755	+	27.8920i	1.45858	+	1.16318i
$576$	4.65380	−	6.50708i	0.193908	−	0.271128i
$577$	14.4450	+	11.5195i	0.601352	+	0.479562i	0.876215	−	0.481921i	$-0.160061\pi$
$577$	14.4450	+	11.5195i	0.601352	+	0.479562i	−0.274862	+	0.961484i	$0.588632\pi$
$578$	11.9739	−	15.2865i	0.498047	−	0.635833i
$579$	3.19120	+	4.00164i	0.132622	+	0.166302i
$580$	0.0809567	+	0.160866i	0.00336154	+	0.00667959i
$581$	−31.5366	+	27.2245i	−1.30836	+	1.12946i
$582$	−5.16211	−	4.04347i	−0.213976	−	0.167607i
$583$	9.96570	−	20.6940i	0.412737	−	0.857058i
$584$	1.05756	+	40.3941i	0.0437623	+	1.67152i
$585$	0.0388966	+	0.0187316i	0.00160818	+	0.000774458i
$586$	10.3809	+	2.27428i	0.428833	+	0.0939495i
$587$	27.3889			1.13046			0.565230	−	0.824934i	$-0.308788\pi$
$587$	27.3889			1.13046			0.565230	+	0.824934i	$0.308788\pi$
$588$	9.73124	+	10.0649i	0.401309	+	0.415071i
$589$	−0.727252			−0.0299659
$590$	1.63682	+	0.358598i	0.0673868	+	0.0147632i
$591$	−18.4575	−	8.88868i	−0.759241	−	0.365631i
$592$	−13.8866	+	7.29492i	−0.570735	+	0.299819i
$593$	−2.01452	+	4.18319i	−0.0827263	+	0.171783i	−0.938229	−	0.346016i	$-0.887534\pi$
$593$	−2.01452	+	4.18319i	−0.0827263	+	0.171783i	0.855502	+	0.517799i	$0.173249\pi$
$594$	−3.58549	−	2.80851i	−0.147115	−	0.115234i
$595$	−0.383761	−	0.282312i	−0.0157327	−	0.0115737i
$596$	−16.6321	+	8.37022i	−0.681279	+	0.342858i
$597$	−11.6790	−	14.6450i	−0.477989	−	0.599380i
$598$	−3.38925	+	4.32689i	−0.138597	+	0.176940i
$599$	−35.1376	−	28.0213i	−1.43568	−	1.14492i	−0.964883	−	0.262678i	$-0.915394\pi$
$599$	−35.1376	−	28.0213i	−1.43568	−	1.14492i	−0.470799	−	0.882240i	$-0.656034\pi$
$600$	12.8723	+	5.78896i	0.525508	+	0.236333i
$601$	−20.5040	−	16.3514i	−0.836374	−	0.666986i	0.108616	−	0.994084i	$-0.465358\pi$
$601$	−20.5040	−	16.3514i	−0.836374	−	0.666986i	−0.944991	+	0.327098i	$0.893929\pi$
$602$	−11.1403	−	39.9310i	−0.454047	−	1.62747i
$603$	−5.92426	+	4.72444i	−0.241255	+	0.192394i
$604$	−25.9240	−	5.44289i	−1.05483	−	0.221468i
$605$	−0.0609967	−	0.0139221i	−0.00247987	−	0.000566014i
$606$	−6.90201	−	14.0180i	−0.280375	−	0.569441i
$607$	3.05315			0.123923			0.0619617	−	0.998079i	$-0.480264\pi$
$607$	3.05315			0.123923			0.0619617	+	0.998079i	$0.480264\pi$
$608$	1.45206	−	0.779037i	0.0588887	−	0.0315941i
$609$	−1.92702	−	1.41761i	−0.0780868	−	0.0574443i
$610$	−0.0449904	−	0.0554173i	−0.00182161	−	0.00224378i
$611$	2.67949	−	0.611577i	0.108401	−	0.0247418i
$612$	−0.0631032	−	3.61584i	−0.00255080	−	0.146162i
$613$	−9.63884	−	12.0867i	−0.389309	−	0.488178i	0.548098	−	0.836414i	$-0.315352\pi$
$613$	−9.63884	−	12.0867i	−0.389309	−	0.488178i	−0.937407	+	0.348236i	$0.886781\pi$
$614$	−6.41975	−	7.90758i	−0.259080	−	0.319124i
$615$	0.204491	+	0.895932i	0.00824586	+	0.0361275i
$616$	−6.88045	−	23.0971i	−0.277221	−	0.930609i
$617$	−1.71172	+	7.49954i	−0.0689113	+	0.301920i	−0.997625	−	0.0688771i	$-0.978058\pi$
$617$	−1.71172	+	7.49954i	−0.0689113	+	0.301920i	0.928714	+	0.370797i	$0.120915\pi$
$618$	3.80745	−	1.87467i	0.153158	−	0.0754102i
$619$	−44.4332			−1.78592			−0.892961	−	0.450135i	$-0.851376\pi$
$619$	−44.4332			−1.78592			−0.892961	+	0.450135i	$0.851376\pi$
$620$	−0.383290	+	0.316762i	−0.0153933	+	0.0127215i
$621$	3.88970	+	8.07705i	0.156088	+	0.324121i
$622$	36.0988	+	16.9979i	1.44743	+	0.681552i
$623$	−6.74102	−	7.80874i	−0.270073	−	0.312850i
$624$	−0.697418	+	1.58766i	−0.0279191	+	0.0635572i
$625$	−5.52994	+	24.2283i	−0.221198	+	0.969131i
$626$	9.57638	+	2.09801i	0.382749	+	0.0838534i
$627$	−0.407041	−	0.845230i	−0.0162557	−	0.0337552i
$628$	0.740089	+	42.4075i	0.0295328	+	1.69224i
$629$	−3.07662	+	6.38866i	−0.122673	+	0.254733i
$630$	0.372188	−	0.0177565i	0.0148283	−	0.000707434i
$631$	−12.4745	−	25.9036i	−0.496604	−	1.03121i	−0.987151	−	0.159793i	$-0.948917\pi$
$631$	−12.4745	−	25.9036i	−0.496604	−	1.03121i	0.490547	−	0.871415i	$-0.336797\pi$
$632$	9.17227	+	6.92982i	0.364853	+	0.275653i
$633$	−10.8612	+	2.47900i	−0.431695	+	0.0985315i
$634$	−25.1741	+	0.219650i	−0.999790	+	0.00872343i
$635$	−0.0264635	+	0.0331841i	−0.00105017	+	0.00131687i
$636$	−8.69746	+	11.3055i	−0.344877	+	0.448291i
$637$	−2.51262	−	1.70171i	−0.0995537	−	0.0674243i
$638$	1.81911	+	3.69461i	0.0720193	+	0.146271i
$639$	−1.39747	−	1.11444i	−0.0552830	−	0.0440867i
$640$	0.425974	−	1.04304i	0.0168381	−	0.0412298i
$641$	−0.540475	−	2.36798i	−0.0213475	−	0.0935295i	0.963132	−	0.269030i	$-0.0867029\pi$
$641$	−0.540475	−	2.36798i	−0.0213475	−	0.0935295i	−0.984479	+	0.175500i	$0.943846\pi$
$642$	−0.0462163	−	5.29684i	−0.00182401	−	0.209050i
$643$	39.3033	−	18.9275i	1.54997	−	0.746427i	0.553702	−	0.832715i	$-0.313215\pi$
$643$	39.3033	−	18.9275i	1.54997	−	0.746427i	0.996270	+	0.0862874i	$0.0275003\pi$
$644$	−7.93217	+	46.7696i	−0.312571	+	1.84298i
$645$	−0.994086	−	0.478727i	−0.0391421	−	0.0188498i
$646$	0.317334	−	0.673929i	0.0124853	−	0.0265154i
$647$	27.7425	−	13.3601i	1.09067	−	0.525240i	0.199958	−	0.979804i	$-0.435919\pi$
$647$	27.7425	−	13.3601i	1.09067	−	0.525240i	0.890714	+	0.454565i	$0.150205\pi$
$648$	1.82077	+	2.16444i	0.0715265	+	0.0850273i
$649$	37.3570	+	8.52650i	1.46639	+	0.334694i
$650$	−2.98850	−	0.654726i	−0.117219	−	0.0256805i
$651$	2.63205	−	6.05828i	0.103158	−	0.237443i
$652$	−0.421415	−	24.1473i	−0.0165039	−	0.945680i
$653$	−36.1076	+	17.3885i	−1.41300	+	0.680465i	−0.975753	−	0.218876i	$-0.929761\pi$
$653$	−36.1076	+	17.3885i	−1.41300	+	0.680465i	−0.437247	+	0.899341i	$0.644047\pi$
$654$	2.16573	+	9.12112i	0.0846869	+	0.356664i
$655$			0.341136i			0.0133293i
$656$	−35.6783	+	9.46444i	−1.39300	+	0.369524i
$657$	−13.9282	−	3.17902i	−0.543390	−	0.124025i
$658$	17.8200	−	15.6568i	0.694696	−	0.610366i
$659$	−4.05205	+	0.924854i	−0.157846	+	0.0360272i	−0.300713	−	0.953715i	$-0.597225\pi$
$659$	−4.05205	+	0.924854i	−0.157846	+	0.0360272i	0.142868	+	0.989742i	$0.454368\pi$
$660$	−0.582674	−	0.268179i	−0.0226806	−	0.0104388i
$661$	5.87709	−	4.68682i	0.228592	−	0.182296i	−0.502495	−	0.864580i	$-0.667585\pi$
$661$	5.87709	−	4.68682i	0.228592	−	0.182296i	0.731087	+	0.682284i	$0.239013\pi$
$662$	5.02521	−	10.6722i	0.195310	−	0.414785i
$663$	0.174432	+	0.764238i	0.00677439	+	0.0296806i
$664$	−44.5234	+	1.16567i	−1.72784	+	0.0452369i
$665$	0.0703938	+	0.0305830i	0.00272976	+	0.00118596i
$666$	−1.28120	−	5.39585i	−0.0496454	−	0.209085i
$667$		−	8.10599i		−	0.313865i
$668$	12.1707	−	15.8202i	0.470898	−	0.612101i
$669$	3.75803	−	16.4650i	0.145294	−	0.636574i
$670$	−0.658056	+	0.840110i	−0.0254229	+	0.0324563i
$671$	−1.01772	−	1.27618i	−0.0392888	−	0.0492666i
$672$	1.23443	+	14.9156i	0.0476190	+	0.575383i
$673$	29.3544	−	36.8092i	1.13153	−	1.41889i	0.237209	−	0.971459i	$-0.423767\pi$
$673$	29.3544	−	36.8092i	1.13153	−	1.41889i	0.894318	−	0.447432i	$-0.147661\pi$
$674$	9.96244	+	41.9574i	0.383739	+	1.61614i
$675$	−3.11127	+	3.90140i	−0.119753	+	0.150165i
$676$	−5.26512	+	25.0774i	−0.202505	+	0.964514i
$677$	−10.2151	+	8.14623i	−0.392596	+	0.313085i	−0.799816	−	0.600245i	$-0.795070\pi$
$677$	−10.2151	+	8.14623i	−0.392596	+	0.313085i	0.407220	+	0.913330i	$0.366498\pi$
$678$	−4.92958	+	0.0430119i	−0.189319	+	0.00165186i
$679$	12.2581	−	0.477660i	0.470423	−	0.0183309i
$680$	−0.126289	−	0.493405i	−0.00484296	−	0.0189212i
$681$	−11.6930	−	5.63106i	−0.448077	−	0.215783i
$682$	−8.82776	+	7.16680i	−0.338033	+	0.274431i
$683$	12.7595	−	26.4953i	0.488227	−	1.01381i	−0.500729	−	0.865604i	$-0.666935\pi$
$683$	12.7595	−	26.4953i	0.488227	−	1.01381i	0.988956	−	0.148209i	$-0.0473510\pi$
$684$	0.139532	+	0.565643i	0.00533512	+	0.0216279i
$685$		−	1.46864i		−	0.0561140i
$686$	−26.0638	−	2.58438i	−0.995120	−	0.0986722i
$687$		−	9.05946i		−	0.345640i
$688$	17.8240	−	40.5760i	0.679533	−	1.54695i
$689$	1.34151	−	2.78567i	0.0511073	−	0.106125i
$690$	0.795771	+	0.980198i	0.0302945	+	0.0373155i
$691$	12.9649	+	6.24354i	0.493206	+	0.237516i	0.663918	−	0.747805i	$-0.268892\pi$
$691$	12.9649	+	6.24354i	0.493206	+	0.237516i	−0.170712	+	0.985321i	$0.554607\pi$
$692$	−24.7012	−	5.18614i	−0.938998	−	0.197148i
$693$	8.51423	−	0.331773i	0.323429	−	0.0126030i
$694$	0.0864072	+	9.90311i	0.00327997	+	0.375917i
$695$	−1.17814	+	0.939537i	−0.0446895	+	0.0356387i
$696$	−0.634149	−	2.47759i	−0.0240374	−	0.0939128i
$697$	−10.4037	+	13.0458i	−0.394067	+	0.494144i
$698$	−14.5897	+	3.46421i	−0.552230	+	0.131122i
$699$	−12.5163	+	15.6949i	−0.473410	+	0.593637i
$700$	−25.3709	+	7.31740i	−0.958929	+	0.276572i
$701$	−28.2283	−	35.3971i	−1.06617	−	1.33693i	−0.938564	−	0.345106i	$-0.887843\pi$
$701$	−28.2283	−	35.3971i	−1.06617	−	1.33693i	−0.127603	−	0.991825i	$-0.540728\pi$
$702$	−0.482651	−	0.378060i	−0.0182165	−	0.0142689i
$703$	0.254194	−	1.11369i	0.00958709	−	0.0420038i
$704$	9.94869	−	23.7658i	0.374955	−	0.895708i
$705$		−	0.631338i		−	0.0237776i
$706$	−14.5488	+	3.45450i	−0.547552	+	0.130012i
$707$	26.8108	+	11.6481i	1.00832	+	0.438071i
$708$	−21.6164	−	9.94903i	−0.812393	−	0.373907i
$709$	6.02683	+	26.4053i	0.226342	+	0.991670i	0.952595	+	0.304242i	$0.0984032\pi$
$709$	6.02683	+	26.4053i	0.226342	+	0.991670i	−0.726253	+	0.687428i	$0.758740\pi$
$710$	−0.227746	−	0.107239i	−0.00854714	−	0.00402460i
$711$	−3.17765	+	2.53409i	−0.119171	+	0.0950360i
$712$	−0.288630	−	11.0244i	−0.0108169	−	0.413156i
$713$	21.8203	−	4.98035i	0.817178	−	0.186515i
$714$	4.46560	+	5.08257i	0.167121	+	0.190211i
$715$	0.135550	+	0.0309385i	0.00506929	+	0.00115703i
$716$	−2.07514	−	1.59643i	−0.0775516	−	0.0596615i
$717$			19.8556i			0.741520i
$718$	6.33139	−	1.50334i	0.236285	−	0.0561040i
$719$	15.2099	−	7.32469i	0.567233	−	0.273165i	−0.128209	−	0.991747i	$-0.540923\pi$
$719$	15.2099	−	7.32469i	0.567233	−	0.273165i	0.695442	+	0.718582i	$0.255209\pi$
$720$	0.319910	+	0.237342i	0.0119223	+	0.00884520i
$721$	−3.16375	+	7.28212i	−0.117824	+	0.271200i
$722$	5.72468	−	26.1303i	0.213051	−	0.972470i
$723$	−25.6883	−	5.86318i	−0.955357	−	0.218054i
$724$	45.0958	−	11.1241i	1.67597	−	0.413425i
$725$	4.06519	−	1.95769i	0.150977	−	0.0727069i
$726$	0.803843	+	0.378506i	0.0298334	+	0.0140477i
$727$	19.0828	+	9.18981i	0.707744	+	0.340831i	0.752888	−	0.658149i	$-0.228660\pi$
$727$	19.0828	+	9.18981i	0.707744	+	0.340831i	−0.0451440	+	0.998980i	$0.514375\pi$
$728$	−0.926193	−	3.10916i	−0.0343270	−	0.115233i
$729$	−0.900969	+	0.433884i	−0.0333692	+	0.0160698i
$730$	−2.01193	+	0.0175546i	−0.0744647	+	0.000649725i
$731$	−4.45799	−	19.5317i	−0.164885	−	0.722407i
$732$	0.455692	+	0.905488i	0.0168429	+	0.0334678i
$733$	−4.30833	−	3.43578i	−0.159132	−	0.126903i	0.540687	−	0.841224i	$-0.318164\pi$
$733$	−4.30833	−	3.43578i	−0.159132	−	0.126903i	−0.699819	+	0.714321i	$0.746736\pi$
$734$	10.3168	−	5.07965i	0.380799	−	0.187493i
$735$	−0.509535	+	0.475722i	−0.0187945	+	0.0175473i
$736$	−38.2322	+	33.3180i	−1.40926	+	1.22812i
$737$	−15.2152	+	19.0792i	−0.560457	+	0.702791i
$738$	−0.113864	−	13.0500i	−0.00419141	−	0.480376i
$739$	−20.2802	+	4.62883i	−0.746020	+	0.170274i	−0.578600	−	0.815612i	$-0.696401\pi$
$739$	−20.2802	+	4.62883i	−0.746020	+	0.170274i	−0.167420	+	0.985886i	$0.553544\pi$
$740$	−0.351110	−	0.697677i	−0.0129071	−	0.0256471i
$741$	−0.0547928	−	0.113778i	−0.00201286	−	0.00417975i
$742$	−1.27167	−	26.6550i	−0.0466844	−	0.978537i
$743$	11.3040	−	23.4731i	0.414705	−	0.861143i	−0.584072	−	0.811702i	$-0.698542\pi$
$743$	11.3040	−	23.4731i	0.414705	−	0.861143i	0.998777	−	0.0494416i	$-0.0157442\pi$
$744$	6.27974	−	3.22929i	0.230226	−	0.118391i
$745$	−0.402258	−	0.835298i	−0.0147376	−	0.0306030i
$746$	−5.85940	+	26.7453i	−0.214528	+	0.979214i
$747$	3.50399	−	15.3520i	0.128204	−	0.561700i
$748$	−2.78936	−	11.3077i	−0.101989	−	0.413451i
$749$	6.47569	+	7.50138i	0.236616	+	0.274094i
$750$	−0.599366	+	1.27289i	−0.0218857	+	0.0464793i
$751$	19.4347	+	40.3566i	0.709184	+	1.47264i	0.873804	+	0.486278i	$0.161646\pi$
$751$	19.4347	+	40.3566i	0.709184	+	1.47264i	−0.164620	+	0.986357i	$0.552640\pi$
$752$	25.3434	−	0.884849i	0.924180	−	0.0322671i
$753$	−29.9507			−1.09147
$754$	0.244875	+	0.497340i	0.00891781	+	0.0181121i
$755$	0.293496	−	1.28589i	0.0106814	−	0.0467984i
$756$	−5.21700	−	0.884808i	−0.189741	−	0.0321802i
$757$	2.00781	+	8.79680i	0.0729752	+	0.319725i	0.998220	−	0.0596464i	$-0.0189973\pi$
$757$	2.00781	+	8.79680i	0.0729752	+	0.319725i	−0.925244	+	0.379372i	$0.876140\pi$
$758$	30.6813	−	24.9086i	1.11440	−	0.904720i
$759$	18.0011	+	22.5726i	0.653397	+	0.819334i
$760$	0.0375225	+	0.0729670i	0.00136108	+	0.00264679i
$761$	5.13003	−	1.17090i	0.185964	−	0.0424450i	−0.128525	−	0.991706i	$-0.541024\pi$
$761$	5.13003	−	1.17090i	0.185964	−	0.0424450i	0.314488	+	0.949261i	$0.398167\pi$
$762$	0.467955	−	0.379909i	0.0169522	−	0.0137626i
$763$	−14.1275	−	10.3929i	−0.511451	−	0.376247i
$764$	18.2245	−	15.0612i	0.659339	−	0.544896i
$765$	0.180068			0.00651039
$766$	−3.12585	+	1.53907i	−0.112941	+	0.0556089i
$767$	5.02872	+	1.14777i	0.181576	+	0.0414436i
$768$	−9.07910	+	13.1746i	−0.327614	+	0.475397i
$769$	3.70432	−	2.95409i	0.133581	−	0.106527i	−0.554420	−	0.832237i	$-0.687060\pi$
$769$	3.70432	−	2.95409i	0.133581	−	0.106527i	0.688001	+	0.725710i	$0.258488\pi$
$770$	1.15586	−	0.322473i	0.0416543	−	0.0116211i
$771$	15.6695	+	12.4960i	0.564323	+	0.450033i
$772$	−6.52108	−	7.89069i	−0.234699	−	0.283992i
$773$	17.6980	+	14.1137i	0.636554	+	0.507635i	0.887765	−	0.460298i	$-0.152257\pi$
$773$	17.6980	+	14.1137i	0.636554	+	0.507635i	−0.251211	+	0.967932i	$0.580829\pi$
$774$	12.3352	+	9.66212i	0.443379	+	0.347298i
$775$	7.76753	+	9.74018i	0.279018	+	0.349877i
$776$	10.4637	+	7.90555i	0.375627	+	0.283793i
$777$	8.35752	+	6.14818i	0.299824	+	0.220565i
$778$	−11.1314	+	14.2109i	−0.399079	+	0.509486i
$779$	1.16634	−	2.42192i	0.0417883	−	0.0867743i
$780$	−0.0784351	−	0.0361001i	−0.00280843	−	0.00129259i
$781$	−5.18638	−	2.49763i	−0.185583	−	0.0893722i
$782$	−4.90603	+	22.3936i	−0.175439	+	0.800793i
$783$	0.904198			0.0323134
$784$	−19.8108	−	19.7872i	−0.707527	−	0.706686i
$785$	−2.11189			−0.0753764
$786$	1.03676	−	4.73228i	0.0369799	−	0.168795i
$787$	19.9471	+	9.60599i	0.711036	+	0.342417i	0.754194	−	0.656652i	$-0.228028\pi$
$787$	19.9471	+	9.60599i	0.711036	+	0.342417i	−0.0431585	+	0.999068i	$0.513742\pi$
$788$	37.2196	+	17.1305i	1.32589	+	0.610249i
$789$	−6.59682	+	13.6984i	−0.234853	+	0.487677i
$790$	−0.352968	+	0.450618i	−0.0125580	+	0.0160323i
$791$	6.98127	−	6.02669i	0.248225	−	0.214285i
$792$	7.26791	+	5.49103i	0.258254	+	0.195115i
$793$	−0.136998	−	0.171790i	−0.00486494	−	0.00610045i
$794$	−3.03040	−	2.37371i	−0.107545	−	0.0842397i
$795$	−0.555282	−	0.442823i	−0.0196938	−	0.0157053i
$796$	23.8655	+	28.8779i	0.845891	+	1.02355i
$797$	−26.4742	−	21.1125i	−0.937765	−	0.747842i	0.0300389	−	0.999549i	$-0.490437\pi$
$797$	−26.4742	−	21.1125i	−0.937765	−	0.747842i	−0.967804	+	0.251706i	$0.919008\pi$
$798$	−0.883567	−	0.638187i	−0.0312779	−	0.0225916i
$799$	8.96249	−	7.14735i	0.317070	−	0.252855i
$800$	−25.9426	−	11.1269i	−0.917211	−	0.393397i
$801$	3.80128	+	0.867618i	0.134312	+	0.0306558i
$802$	−30.5785	+	15.0559i	−1.07976	+	0.531642i
$803$	−46.0095			−1.62364
$804$	11.6818	−	9.65419i	0.411987	−	0.340477i
$805$	−2.32152	−	0.435536i	−0.0818228	−	0.0153506i
$806$	−1.18833	+	0.964739i	−0.0418570	+	0.0339815i
$807$	−9.80512	+	2.23795i	−0.345157	+	0.0787797i
$808$	14.2911	+	27.7908i	0.502760	+	0.977677i
$809$	−1.81637	−	2.27765i	−0.0638600	−	0.0800779i	0.748876	−	0.662711i	$-0.230594\pi$
$809$	−1.81637	−	2.27765i	−0.0638600	−	0.0800779i	−0.812736	+	0.582633i	$0.802023\pi$
$810$	−0.109338	+	0.0887658i	−0.00384174	+	0.00311891i
$811$	−11.2279	−	49.1924i	−0.394263	−	1.72738i	−0.649375	−	0.760468i	$-0.724969\pi$
$811$	−11.2279	−	49.1924i	−0.394263	−	1.72738i	0.255112	−	0.966912i	$-0.417888\pi$
$812$	3.90293	+	2.76753i	0.136966	+	0.0971213i
$813$	−2.19942	+	9.63628i	−0.0771370	+	0.337959i
$814$	−7.88951	−	16.0236i	−0.276527	−	0.561626i
$815$	1.20253			0.0421228
$816$	0.252374	+	7.22839i	0.00883487	+	0.253044i
$817$	1.40035	+	2.90785i	0.0489919	+	0.101733i
$818$	14.5270	−	30.8512i	0.507923	−	1.07869i
$819$	1.14612	−	0.0446607i	0.0400487	−	0.00156057i
$820$	−0.440186	−	1.78445i	−0.0153719	−	0.0623159i
$821$	−6.36216	+	27.8745i	−0.222041	+	0.972825i	0.733898	+	0.679260i	$0.237699\pi$
$821$	−6.36216	+	27.8745i	−0.222041	+	0.972825i	−0.955939	+	0.293565i	$0.905158\pi$
$822$	−4.46340	+	20.3732i	−0.155679	+	0.710597i
$823$	−2.47582	−	5.14110i	−0.0863018	−	0.179207i	0.853351	−	0.521336i	$-0.174566\pi$
$823$	−2.47582	−	5.14110i	−0.0863018	−	0.179207i	−0.939653	+	0.342129i	$0.888852\pi$
$824$	−7.54831	+	3.88164i	−0.262958	+	0.135223i
$825$	−6.97279	+	14.4792i	−0.242762	+	0.504100i
$826$	42.8807	−	11.9633i	1.49201	−	0.416256i
$827$	0.431623	+	0.896274i	0.0150090	+	0.0311665i	0.908339	−	0.418236i	$-0.137351\pi$
$827$	0.431623	+	0.896274i	0.0150090	+	0.0311665i	−0.893330	+	0.449402i	$0.851637\pi$
$828$	−8.06009	−	16.0159i	−0.280108	−	0.556591i
$829$	39.0363	−	8.90979i	1.35579	−	0.309450i	0.517969	−	0.855399i	$-0.326688\pi$
$829$	39.0363	−	8.90979i	1.35579	−	0.309450i	0.837818	+	0.545950i	$0.183831\pi$
$830$	−0.0193491	−	2.21760i	−0.000671618	−	0.0769739i
$831$	−5.13678	+	6.44132i	−0.178193	+	0.223447i
$832$	1.33922	−	3.19917i	0.0464290	−	0.110911i
$833$	−12.5218	−	1.84775i	−0.433854	−	0.0640206i
$834$	19.1987	−	9.45285i	0.664797	−	0.327325i
$835$	0.777028	+	0.619659i	0.0268902	+	0.0214442i
$836$	0.843456	+	1.67600i	0.0291715	+	0.0579656i
$837$	0.555542	+	2.43399i	0.0192023	+	0.0841309i
$838$	−12.0582	+	0.105211i	−0.416545	+	0.00363446i
$839$	−32.5168	+	15.6593i	−1.12260	+	0.540618i	−0.900696	−	0.434450i	$-0.856943\pi$
$839$	−32.5168	+	15.6593i	−1.12260	+	0.540618i	−0.221908	+	0.975068i	$0.571229\pi$
$840$	−0.743643	+	0.0484963i	−0.0256581	+	0.00167328i
$841$	25.3915	+	12.2279i	0.875569	+	0.421652i
$842$	23.7296	+	11.1736i	0.817775	+	0.385066i
$843$	−4.42142	+	2.12924i	−0.152282	+	0.0733350i
$844$	21.6326	−	5.33629i	0.744625	−	0.183683i
$845$	−1.24389	−	0.283911i	−0.0427912	−	0.00976682i
$846$	−1.91872	+	8.75800i	−0.0659669	+	0.301106i
$847$	−1.60492	+	0.432700i	−0.0551458	+	0.0148678i
$848$	16.9977	−	22.9110i	0.583704	−	0.786767i
$849$	9.39330	−	4.52358i	0.322377	−	0.155249i
$850$	−12.4153	+	2.94792i	−0.425843	+	0.101113i
$851$			35.1558i			1.20513i
$852$	2.83340	+	2.17978i	0.0970708	+	0.0746780i
$853$	32.3036	+	7.37308i	1.10605	+	0.252449i	0.736283	−	0.676674i	$-0.236579\pi$
$853$	32.3036	+	7.37308i	1.10605	+	0.252449i	0.369770	+	0.929123i	$0.379436\pi$
$854$	−1.74590	−	0.740475i	−0.0597435	−	0.0253385i
$855$	−0.0282816	+	0.00645509i	−0.000967210	+	0.000220759i
$856$	0.277270	+	10.5905i	0.00947689	+	0.361974i
$857$	−14.5538	+	11.6063i	−0.497149	+	0.396463i	−0.839712	−	0.543031i	$-0.817276\pi$
$857$	−14.5538	+	11.6063i	−0.497149	+	0.396463i	0.342563	+	0.939495i	$0.388705\pi$
$858$	−1.78635	−	0.841138i	−0.0609848	−	0.0287160i
$859$	7.34940	+	32.1998i	0.250758	+	1.09864i	0.930817	+	0.365486i	$0.119097\pi$
$859$	7.34940	+	32.1998i	0.250758	+	1.09864i	−0.680059	+	0.733158i	$0.738046\pi$
$860$	2.00458	+	0.922616i	0.0683555	+	0.0314609i
$861$	15.9543	+	18.4813i	0.543722	+	0.629843i
$862$	23.5737	−	5.59737i	0.802922	−	0.190647i
$863$		−	42.2104i		−	1.43686i	−0.695600	−	0.718430i	$-0.744861\pi$
$863$		−	42.2104i		−	1.43686i	0.695600	−	0.718430i	$-0.255139\pi$
$864$	−3.71652	−	4.26468i	−0.126438	−	0.145087i
$865$	0.279652	−	1.22523i	0.00950845	−	0.0416592i
$866$	−30.5341	−	23.9173i	−1.03759	−	0.812743i
$867$	−8.56078	−	10.7349i	−0.290739	−	0.364576i
$868$	−5.05188	+	12.2066i	−0.171472	+	0.414318i
$869$	−8.16110	+	10.2337i	−0.276846	+	0.347154i
$870$	0.123897	−	0.0294183i	0.00420050	−	0.000997373i
$871$	−2.04815	+	2.56829i	−0.0693988	+	0.0870233i
$872$	−4.64912	−	18.1639i	−0.157439	−	0.615107i
$873$	−3.62507	+	2.89090i	−0.122690	+	0.0978422i
$874$	−0.0322225	−	3.69301i	−0.00108994	−	0.124918i
$875$	−0.685182	−	2.54140i	−0.0231634	−	0.0859150i
$876$	27.9631	+	5.87099i	0.944784	+	0.198362i
$877$	18.3496	+	8.83668i	0.619621	+	0.298394i	0.717236	−	0.696831i	$-0.245407\pi$
$877$	18.3496	+	8.83668i	0.619621	+	0.298394i	−0.0976151	+	0.995224i	$0.531121\pi$
$878$	−5.39849	−	6.64963i	−0.182190	−	0.224414i
$879$	3.26043	−	6.77036i	0.109972	−	0.228359i
$880$	1.17453	+	0.515941i	0.0395934	+	0.0173924i
$881$		−	6.56054i		−	0.221030i	−0.993874	−	0.110515i	$-0.964750\pi$
$881$		−	6.56054i		−	0.221030i	0.993874	−	0.110515i	$-0.0352501\pi$
$882$	8.51411	−	5.05073i	0.286685	−	0.170067i
$883$			35.2075i			1.18483i	0.805634	+	0.592414i	$0.201825\pi$
$883$			35.2075i			1.18483i	−0.805634	+	0.592414i	$0.798175\pi$
$884$	−0.375482	−	1.52216i	−0.0126288	−	0.0511957i
$885$	0.514090	−	1.06752i	0.0172810	−	0.0358843i
$886$	25.0849	−	20.3651i	0.842743	−	0.684179i
$887$	−13.2686	−	6.38984i	−0.445517	−	0.214550i	0.197655	−	0.980272i	$-0.436668\pi$
$887$	−13.2686	−	6.38984i	−0.445517	−	0.214550i	−0.643172	+	0.765722i	$0.722382\pi$
$888$	2.75031	+	10.7453i	0.0922945	+	0.360590i
$889$	−0.207929	+	1.10831i	−0.00697370	+	0.0371717i
$890$	0.549096	−	0.00479101i	0.0184057	−	0.000160595i
$891$	−2.51790	+	2.00796i	−0.0843529	+	0.0672692i
$892$	−6.94031	+	33.0561i	−0.232379	+	1.10680i
$893$	−1.15143	+	1.44385i	−0.0385312	+	0.0483166i
$894$	3.04160	+	12.8099i	0.101726	+	0.428426i
$895$	0.0812809	−	0.101923i	0.00271692	−	0.00340691i
$896$	−2.98901	−	29.7837i	−0.0998558	−	0.995002i
$897$	2.42316	+	3.03855i	0.0809071	+	0.101454i
$898$	−27.7977	+	35.4881i	−0.927622	+	1.18425i
$899$	0.502320	−	2.20081i	0.0167533	−	0.0734010i
$900$	6.08543	−	7.91020i	0.202848	−	0.263673i
$901$		−	12.8960i		−	0.429628i
$902$	−9.70954	−	40.8923i	−0.323292	−	1.36157i
$903$	−29.2915	+	1.14140i	−0.974761	+	0.0379834i
$904$	9.85616	−	0.258045i	0.327811	−	0.00858246i
$905$	0.514631	+	2.25475i	0.0171069	+	0.0749503i
$906$	−7.97941	+	16.9461i	−0.265098	+	0.562996i
$907$	6.55764	−	5.22954i	0.217743	−	0.173644i	−0.508544	−	0.861036i	$-0.669816\pi$
$907$	6.55764	−	5.22954i	0.217743	−	0.173644i	0.726287	+	0.687392i	$0.241245\pi$
$908$	23.5790	+	10.8523i	0.782496	+	0.360148i
$909$	−10.7716	+	2.45854i	−0.357270	+	0.0815445i
$910$	0.155593	−	0.0434089i	0.00515786	−	0.00143899i
$911$	33.3278	+	7.60685i	1.10420	+	0.252026i	0.735501	−	0.677524i	$-0.236947\pi$
$911$	33.3278	+	7.60685i	1.10420	+	0.252026i	0.368697	+	0.929550i	$0.379804\pi$
$912$	−0.298761	−	1.12624i	−0.00989296	−	0.0372937i
$913$		−	50.7128i		−	1.67835i
$914$	−6.16919	−	25.9819i	−0.204059	−	0.859405i
$915$	−0.0454754	+	0.0218998i	−0.00150337	+	0.000723985i
$916$	0.316161	+	18.1162i	0.0104462	+	0.598575i
$917$	4.24737	+	8.00640i	0.140260	+	0.264395i
$918$	−2.49793	−	0.547252i	−0.0824441	−	0.0180620i
$919$	1.62230	+	0.370280i	0.0535148	+	0.0122144i	0.249194	−	0.968453i	$-0.419834\pi$
$919$	1.62230	+	0.370280i	0.0535148	+	0.0122144i	−0.195680	+	0.980668i	$0.562691\pi$
$920$	−1.62551	−	1.93233i	−0.0535914	−	0.0637069i
$921$	−6.48895	+	3.12491i	−0.213818	+	0.102969i
$922$	5.48626	−	11.6513i	0.180680	−	0.383715i
$923$	−0.698150	−	0.336212i	−0.0229799	−	0.0110665i
$924$	−17.0143	+	0.960577i	−0.559729	+	0.0316007i
$925$	−17.6308	+	8.49054i	−0.579697	+	0.279167i
$926$	0.356022	+	40.8036i	0.0116996	+	1.34089i
$927$	−0.667767	−	2.92568i	−0.0219323	−	0.0960919i
$928$	1.35457	+	4.93229i	0.0444659	+	0.161910i
$929$	46.8806	+	37.3860i	1.53810	+	1.22659i	0.881327	+	0.472507i	$0.156651\pi$
$929$	46.8806	+	37.3860i	1.53810	+	1.22659i	0.656774	+	0.754087i	$0.271920\pi$
$930$	0.155313	+	0.315440i	0.00509291	+	0.0103437i
$931$	2.03291	−	0.158673i	0.0666260	−	0.00520030i
$932$	24.4811	−	31.8219i	0.801904	−	1.04236i
$933$	17.5911	−	22.0585i	0.575906	−	0.722163i
$934$	35.0632	−	0.305936i	1.14730	−	0.0100105i
$935$	0.565374	−	0.129043i	0.0184897	−	0.00422016i
$936$	0.978349	+	0.739161i	0.0319784	+	0.0241602i
$937$	16.7293	+	34.7387i	0.546521	+	1.13486i	0.973094	+	0.230409i	$0.0740065\pi$
$937$	16.7293	+	34.7387i	0.546521	+	1.13486i	−0.426573	+	0.904453i	$0.640279\pi$
$938$	−4.98455	+	27.9105i	−0.162751	+	0.911310i
$939$	3.00773	−	6.24563i	0.0981537	−	0.203818i
$940$	0.0220327	+	1.26248i	0.000718627	+	0.0411777i
$941$	10.7232	+	22.2669i	0.349565	+	0.725880i	0.999416	−	0.0341821i	$-0.0108826\pi$
$941$	10.7232	+	22.2669i	0.349565	+	0.725880i	−0.649850	+	0.760062i	$0.725168\pi$
$942$	29.2963	+	6.41830i	0.954527	+	0.209120i
$943$	−18.4088	+	80.6540i	−0.599472	+	2.62646i
$944$	43.5733	+	19.1407i	1.41819	+	0.622975i
$945$	0.0485826	−	0.258958i	0.00158039	−	0.00842391i
$946$	45.6539	+	21.4971i	1.48434	+	0.698930i
$947$	5.54762	+	11.5198i	0.180274	+	0.374342i	0.971449	−	0.237247i	$-0.0762450\pi$
$947$	5.54762	+	11.5198i	0.180274	+	0.374342i	−0.791176	+	0.611589i	$0.790531\pi$
$948$	6.26590	−	5.17831i	0.203507	−	0.168184i
$949$	−6.19344			−0.201048
$950$	1.84428	−	0.908065i	0.0598363	−	0.0294615i
$951$	−3.96119	+	17.3551i	−0.128450	+	0.562778i
$952$	−9.10721	−	10.0078i	−0.295166	−	0.324353i
$953$	−7.87104	−	34.4853i	−0.254968	−	1.11709i	−0.926554	−	0.376161i	$-0.877244\pi$
$953$	−7.87104	−	34.4853i	−0.254968	−	1.11709i	0.671586	−	0.740926i	$-0.265613\pi$
$954$	6.35715	+	7.83047i	0.205820	+	0.253521i
$955$	0.733984	+	0.920386i	0.0237512	+	0.0297830i
$956$	−0.692928	−	39.7051i	−0.0224109	−	1.28415i
$957$	2.83898	−	0.647978i	0.0917711	−	0.0209461i
$958$	10.7616	+	13.2557i	0.347693	+	0.428274i
$959$	−18.2856	−	34.4688i	−0.590473	−	1.11306i
$960$	−0.648005	−	0.463447i	−0.0209143	−	0.0149577i
$961$	−24.7671			−0.798938
$962$	−1.06203	−	2.15697i	−0.0342411	−	0.0695435i
$963$	−3.65166	−	0.833468i	−0.117673	−	0.0268581i
$964$	51.5733	+	10.8281i	1.66106	+	0.348749i
$965$	0.398501	−	0.317794i	0.0128282	−	0.0102301i
$966$	30.8808	+	13.0972i	0.993572	+	0.421396i
$967$	−17.1730	−	13.6950i	−0.552246	−	0.440401i	0.307188	−	0.951649i	$-0.400612\pi$
$967$	−17.1730	−	13.6950i	−0.552246	−	0.440401i	−0.859433	+	0.511248i	$0.829184\pi$
$968$	−1.62065	−	0.728844i	−0.0520897	−	0.0234259i
$969$	−0.411811	−	0.328409i	−0.0132293	−	0.0105500i
$970$	−0.402667	+	0.514066i	−0.0129288	+	0.0165057i
$971$	−1.45912	−	1.82967i	−0.0468253	−	0.0587170i	0.757867	−	0.652409i	$-0.226241\pi$
$971$	−1.45912	−	1.82967i	−0.0468253	−	0.0587170i	−0.804693	+	0.593692i	$0.797670\pi$
$972$	1.78652	−	0.899078i	0.0573027	−	0.0288379i
$973$	−15.9529	+	36.7194i	−0.511428	+	1.17717i
$974$	34.4938	+	27.0189i	1.10525	+	0.865741i
$975$	−0.938624	+	1.94907i	−0.0300600	+	0.0624203i
$976$	−0.942846	−	1.79480i	−0.0301798	−	0.0574501i
$977$	25.6525	+	12.3536i	0.820695	+	0.395226i	0.796617	−	0.604484i	$-0.206621\pi$
$977$	25.6525	+	12.3536i	0.820695	+	0.395226i	0.0240781	+	0.999710i	$0.492335\pi$
$978$	−16.6816	−	3.65465i	−0.533420	−	0.116863i
$979$	12.5569			0.401321
$980$	1.00231	−	0.969081i	0.0320177	−	0.0309561i
$981$	6.62892			0.211645
$982$	−29.4183	−	6.44502i	−0.938777	−	0.205669i
$983$	25.8880	+	12.4670i	0.825699	+	0.397635i	0.798500	−	0.601995i	$-0.205627\pi$
$983$	25.8880	+	12.4670i	0.825699	+	0.397635i	0.0271984	+	0.999630i	$0.491341\pi$
$984$	0.683117	+	26.0920i	0.0217770	+	0.831782i
$985$	−0.885175	+	1.83808i	−0.0282040	+	0.0585662i
$986$	1.82026	+	1.42580i	0.0579687	+	0.0454068i
$987$	−7.86058	−	14.8174i	−0.250205	−	0.471643i
$988$	0.113540	+	0.225610i	0.00361217	+	0.00717760i
$989$	−61.9291	−	77.6566i	−1.96923	−	2.46934i
$990$	−0.279684	+	0.357060i	−0.00888894	+	0.0113481i
$991$	45.5654	+	36.3372i	1.44743	+	1.15429i	0.959605	+	0.281349i	$0.0907820\pi$
$991$	45.5654	+	36.3372i	1.44743	+	1.15429i	0.487828	+	0.872940i	$0.337789\pi$
$992$	−12.4449	+	6.67674i	−0.395125	+	0.211987i
$993$	−6.52133	−	5.20059i	−0.206948	−	0.165036i
$994$	−6.68035	+	0.318708i	−0.211888	+	0.0101088i
$995$	−1.45841	+	1.16305i	−0.0462349	+	0.0368711i
$996$	−6.47116	+	30.8216i	−0.205046	+	0.976619i
$997$	41.5896	+	9.49255i	1.31716	+	0.300632i	0.822653	−	0.568544i	$-0.192493\pi$
$997$	41.5896	+	9.49255i	1.31716	+	0.300632i	0.494503	+	0.869176i	$0.335350\pi$
$998$	−2.29952	−	4.67033i	−0.0727902	−	0.147837i
$999$	−3.92152			−0.124071

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.x.b.55.13	yes	168
4.3	odd	2		588.2.x.a.55.4	✓	168
49.41	odd	14		588.2.x.a.139.4	yes	168
196.139	even	14	inner	588.2.x.b.139.13	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.x.a.55.4	✓	168	4.3	odd	2
588.2.x.a.139.4	yes	168	49.41	odd	14
588.2.x.b.55.13	yes	168	1.1	even	1	trivial
588.2.x.b.139.13	yes	168	196.139	even	14	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-0.302651 + 1.38145i) q^{2} +(0.900969 + 0.433884i) q^{3} +(-1.81681 - 0.836193i) q^{4} +(0.0432081 - 0.0897226i) q^{5} +(-0.872067 + 1.11333i) q^{6} +(-0.103018 - 2.64374i) q^{7} +(1.70502 - 2.25675i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\)	\(q+(-0.302651 + 1.38145i) q^{2} +(0.900969 + 0.433884i) q^{3} +(-1.81681 - 0.836193i) q^{4} +(0.0432081 - 0.0897226i) q^{5} +(-0.872067 + 1.11333i) q^{6} +(-0.103018 - 2.64374i) q^{7} +(1.70502 - 2.25675i) q^{8} +(0.623490 + 0.781831i) q^{9} +(0.110870 + 0.0868444i) q^{10} +(2.51790 + 2.00796i) q^{11} +(-1.27407 - 1.54167i) q^{12} +(0.338941 + 0.270296i) q^{13} +(3.68338 + 0.657816i) q^{14} +(0.0778583 - 0.0620899i) q^{15} +(2.60156 + 3.03840i) q^{16} +(1.76286 + 0.402362i) q^{17} +(-1.26876 + 0.624698i) q^{18} -0.291299 q^{19} +(-0.153526 + 0.126878i) q^{20} +(1.05426 - 2.42663i) q^{21} +(-3.53594 + 2.87064i) q^{22} +(8.74008 - 1.99487i) q^{23} +(2.51533 - 1.29348i) q^{24} +(3.11127 + 3.90140i) q^{25} +(-0.475981 + 0.386424i) q^{26} +(0.222521 + 0.974928i) q^{27} +(-2.02352 + 4.88931i) q^{28} +(0.201203 - 0.881528i) q^{29} +(0.0622102 + 0.126349i) q^{30} +2.49658 q^{31} +(-4.98476 + 2.67435i) q^{32} +(1.39733 + 2.90159i) q^{33} +(-1.08937 + 2.31353i) q^{34} +(-0.241655 - 0.104988i) q^{35} +(-0.478998 - 1.94179i) q^{36} +(-0.872620 + 3.82320i) q^{37} +(0.0881619 - 0.402415i) q^{38} +(0.188098 + 0.390589i) q^{39} +(-0.128811 - 0.250488i) q^{40} +(-4.00391 + 8.31420i) q^{41} +(3.03319 + 2.19083i) q^{42} +(-4.80724 - 9.98234i) q^{43} +(-2.89550 - 5.75352i) q^{44} +(0.0970877 - 0.0221596i) q^{45} +(0.110617 + 12.6777i) q^{46} +(3.95275 - 4.95659i) q^{47} +(1.02561 + 3.86628i) q^{48} +(-6.97877 + 0.544709i) q^{49} +(-6.33122 + 3.11729i) q^{50} +(1.41371 + 1.12739i) q^{51} +(-0.389769 - 0.774495i) q^{52} +(-1.58701 - 6.95314i) q^{53} +(-1.41416 + 0.0123389i) q^{54} +(0.288953 - 0.139152i) q^{55} +(-6.14192 - 4.27514i) q^{56} +(-0.262452 - 0.126390i) q^{57} +(1.15689 + 0.544747i) q^{58} +(10.7197 - 5.16235i) q^{59} +(-0.193373 + 0.0477007i) q^{60} +(-0.494137 - 0.112783i) q^{61} +(-0.755592 + 3.44890i) q^{62} +(2.00273 - 1.72889i) q^{63} +(-2.18584 - 7.69559i) q^{64} +(0.0388966 - 0.0187316i) q^{65} +(-4.43130 + 1.05217i) q^{66} +7.57742i q^{67} +(-2.86633 - 2.20511i) q^{68} +(8.74008 + 1.99487i) q^{69} +(0.218173 - 0.302059i) q^{70} +(-1.74261 + 0.397740i) q^{71} +(2.82746 - 0.0740260i) q^{72} +(-11.1695 + 8.90740i) q^{73} +(-5.01746 - 2.36257i) q^{74} +(1.11040 + 4.86497i) q^{75} +(0.529234 + 0.243582i) q^{76} +(5.04914 - 6.86355i) q^{77} +(-0.596507 + 0.141636i) q^{78} +4.06437i q^{79} +(0.385022 - 0.102135i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-10.2739 - 8.04749i) q^{82} +(-9.81797 - 12.3113i) q^{83} +(-3.94452 + 3.52715i) q^{84} +(0.112271 - 0.140783i) q^{85} +(15.2450 - 3.61980i) q^{86} +(0.563758 - 0.706930i) q^{87} +(8.82453 - 2.25867i) q^{88} +(3.04839 - 2.43101i) q^{89} +(0.00122877 + 0.140828i) q^{90} +(0.679677 - 0.923918i) q^{91} +(-17.5471 - 3.68411i) q^{92} +(2.24934 + 1.08323i) q^{93} +(5.65098 + 6.96064i) q^{94} +(-0.0125865 + 0.0261361i) q^{95} +(-5.65147 + 0.246703i) q^{96} +4.63664i q^{97} +(1.35964 - 9.80568i) q^{98} +3.22052i 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	\( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} - 20 q^{10} + 14 q^{14} - 20 q^{16} - 12 q^{19} + 25 q^{20} + 2 q^{21} - 6 q^{22} - 27 q^{24} + 32 q^{25} - 6 q^{26} + 28 q^{27} + 6 q^{28} - 8 q^{30} + 4 q^{31} - 45 q^{32} - 44 q^{34} + 12 q^{35} - 10 q^{37} - 35 q^{38} - 14 q^{39} + 40 q^{40} + 7 q^{42} + 20 q^{44} + 28 q^{46} + 8 q^{47} - 8 q^{48} - 8 q^{49} + 114 q^{50} - 20 q^{52} - 8 q^{53} + 23 q^{56} + 12 q^{57} - 6 q^{58} - 20 q^{59} + 10 q^{60} - 14 q^{61} + 16 q^{62} + 12 q^{63} - 42 q^{64} - 8 q^{65} + 6 q^{66} + 16 q^{68} + 19 q^{70} - 28 q^{71} - 15 q^{72} + 22 q^{74} - 18 q^{75} - 49 q^{76} + 8 q^{77} + 6 q^{78} - 26 q^{80} - 28 q^{81} - 12 q^{82} - 10 q^{83} - 27 q^{84} - 24 q^{85} - 34 q^{86} + 94 q^{88} - 20 q^{90} + 16 q^{91} + 7 q^{92} - 4 q^{93} + 11 q^{94} + 10 q^{96} - 150 q^{98}+O(q^{100}) \) 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9 - 20 * q^10 + 14 * q^14 - 20 * q^16 - 12 * q^19 + 25 * q^20 + 2 * q^21 - 6 * q^22 - 27 * q^24 + 32 * q^25 - 6 * q^26 + 28 * q^27 + 6 * q^28 - 8 * q^30 + 4 * q^31 - 45 * q^32 - 44 * q^34 + 12 * q^35 - 10 * q^37 - 35 * q^38 - 14 * q^39 + 40 * q^40 + 7 * 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 + 23 * 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 + 19 * q^70 - 28 * q^71 - 15 * q^72 + 22 * q^74 - 18 * q^75 - 49 * q^76 + 8 * q^77 + 6 * q^78 - 26 * q^80 - 28 * q^81 - 12 * q^82 - 10 * q^83 - 27 * q^84 - 24 * q^85 - 34 * q^86 + 94 * q^88 - 20 * q^90 + 16 * q^91 + 7 * q^92 - 4 * q^93 + 11 * q^94 + 10 * q^96 - 150 * q^98

Introduction

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