LMFDB - Embedded newform 300.2.w.a.223.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [300,2,Mod(67,300)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(300, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([10, 0, 13]))

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

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

chi := DirichletCharacter("300.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 300 = 2^{2} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	300.w (of order $20$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.39551206064$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$30$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			223.5
Character	$\chi$	$=$	300.223
Dual form			300.2.w.a.187.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.28860 - 0.582664i) q^{2} +(0.453990 + 0.891007i) q^{3} +(1.32101 + 1.50165i) q^{4} +(-1.39750 - 1.74556i) q^{5} +(-0.0658569 - 1.41268i) q^{6} +(2.75918 + 2.75918i) q^{7} +(-0.827297 - 2.70473i) q^{8} +(-0.587785 + 0.809017i) q^{9} +O(q^{10})$	\(q+(-1.28860 - 0.582664i) q^{2} +(0.453990 + 0.891007i) q^{3} +(1.32101 + 1.50165i) q^{4} +(-1.39750 - 1.74556i) q^{5} +(-0.0658569 - 1.41268i) q^{6} +(2.75918 + 2.75918i) q^{7} +(-0.827297 - 2.70473i) q^{8} +(-0.587785 + 0.809017i) q^{9} +(0.783748 + 3.06362i) q^{10} +(0.189562 + 0.260910i) q^{11} +(-0.738254 + 1.85876i) q^{12} +(0.0568939 + 0.359214i) q^{13} +(-1.94782 - 5.16317i) q^{14} +(0.920857 - 2.03765i) q^{15} +(-0.509891 + 3.96737i) q^{16} +(6.81039 + 3.47007i) q^{17} +(1.22881 - 0.700022i) q^{18} +(-1.52937 - 4.70692i) q^{19} +(0.775117 - 4.40445i) q^{20} +(-1.20581 + 3.71109i) q^{21} +(-0.0922480 - 0.446661i) q^{22} +(-1.39600 + 8.81398i) q^{23} +(2.03435 - 1.96505i) q^{24} +(-1.09399 + 4.87885i) q^{25} +(0.135987 - 0.496035i) q^{26} +(-0.987688 - 0.156434i) q^{27} +(-0.498426 + 7.78821i) q^{28} +(6.53236 + 2.12249i) q^{29} +(-2.37389 + 2.08918i) q^{30} +(5.16506 - 1.67823i) q^{31} +(2.96869 - 4.81527i) q^{32} +(-0.146413 + 0.287352i) q^{33} +(-6.75402 - 8.43972i) q^{34} +(0.960370 - 8.67228i) q^{35} +(-1.99133 + 0.186069i) q^{36} +(5.02172 - 0.795363i) q^{37} +(-0.771798 + 6.95646i) q^{38} +(-0.294233 + 0.213773i) q^{39} +(-3.56514 + 5.22397i) q^{40} +(-7.28627 - 5.29378i) q^{41} +(3.71613 - 4.07955i) q^{42} +(1.45559 - 1.45559i) q^{43} +(-0.141382 + 0.629320i) q^{44} +(2.23362 - 0.104585i) q^{45} +(6.93448 - 10.5443i) q^{46} +(0.891709 - 0.454348i) q^{47} +(-3.76644 + 1.34683i) q^{48} +8.22616i q^{49} +(4.25245 - 5.64949i) q^{50} +7.64348i q^{51} +(-0.464256 + 0.559958i) q^{52} +(-2.04487 + 1.04191i) q^{53} +(1.18159 + 0.777073i) q^{54} +(0.190522 - 0.695515i) q^{55} +(5.18018 - 9.74551i) q^{56} +(3.49957 - 3.49957i) q^{57} +(-7.18093 - 6.54123i) q^{58} +(-5.88836 - 4.27814i) q^{59} +(4.27629 - 1.30895i) q^{60} +(-3.66737 + 2.66450i) q^{61} +(-7.63356 - 0.846920i) q^{62} +(-3.85403 + 0.610418i) q^{63} +(-6.63116 + 4.47524i) q^{64} +(0.547522 - 0.601314i) q^{65} +(0.356099 - 0.284974i) q^{66} +(0.984607 - 1.93240i) q^{67} +(3.78574 + 14.8108i) q^{68} +(-8.48708 + 2.75762i) q^{69} +(-6.29057 + 10.6156i) q^{70} +(-8.42272 - 2.73671i) q^{71} +(2.67445 + 0.920504i) q^{72} +(-12.8742 - 2.03907i) q^{73} +(-6.93444 - 1.90107i) q^{74} +(-4.84375 + 1.24020i) q^{75} +(5.04782 - 8.51443i) q^{76} +(-0.196862 + 1.24294i) q^{77} +(0.503707 - 0.104030i) q^{78} +(3.45409 - 10.6306i) q^{79} +(7.63787 - 4.65435i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(6.30462 + 11.0670i) q^{82} +(-4.05203 - 2.06461i) q^{83} +(-7.16563 + 3.09167i) q^{84} +(-3.46030 - 16.7374i) q^{85} +(-2.72381 + 1.02756i) q^{86} +(1.07447 + 6.78397i) q^{87} +(0.548868 - 0.728566i) q^{88} +(-2.42940 - 3.34378i) q^{89} +(-2.93919 - 1.16668i) q^{90} +(-0.834156 + 1.14812i) q^{91} +(-15.0796 + 9.54702i) q^{92} +(3.84020 + 3.84020i) q^{93} +(-1.41379 + 0.0659088i) q^{94} +(-6.07893 + 9.24753i) q^{95} +(5.63820 + 0.459034i) q^{96} +(1.13559 + 2.22872i) q^{97} +(4.79309 - 10.6003i) q^{98} -0.322503 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q + 12 q^{8}+O(q^{10}) $ 240 * q + 12 * q^8	$ 240 q + 12 q^{8} + 8 q^{10} + 8 q^{12} + 4 q^{13} + 20 q^{17} - 20 q^{20} - 12 q^{22} + 20 q^{25} + 4 q^{28} - 8 q^{30} - 20 q^{32} - 8 q^{33} - 4 q^{37} - 76 q^{38} - 92 q^{40} - 20 q^{42} - 140 q^{44} - 4 q^{45} - 16 q^{48} - 164 q^{50} - 172 q^{52} - 4 q^{53} - 120 q^{58} + 20 q^{60} - 44 q^{62} - 60 q^{64} - 20 q^{65} + 16 q^{68} - 44 q^{70} + 12 q^{72} - 44 q^{73} - 48 q^{77} + 24 q^{78} - 4 q^{80} + 60 q^{81} + 24 q^{82} + 80 q^{84} - 64 q^{85} + 60 q^{88} - 260 q^{89} + 48 q^{90} + 144 q^{92} - 64 q^{93} + 40 q^{94} - 20 q^{96} - 180 q^{97} + 256 q^{98}+O(q^{100}) $ 240 * q + 12 * q^8 + 8 * q^10 + 8 * q^12 + 4 * q^13 + 20 * q^17 - 20 * q^20 - 12 * q^22 + 20 * q^25 + 4 * q^28 - 8 * q^30 - 20 * q^32 - 8 * q^33 - 4 * q^37 - 76 * q^38 - 92 * q^40 - 20 * q^42 - 140 * q^44 - 4 * q^45 - 16 * q^48 - 164 * q^50 - 172 * q^52 - 4 * q^53 - 120 * q^58 + 20 * q^60 - 44 * q^62 - 60 * q^64 - 20 * q^65 + 16 * q^68 - 44 * q^70 + 12 * q^72 - 44 * q^73 - 48 * q^77 + 24 * q^78 - 4 * q^80 + 60 * q^81 + 24 * q^82 + 80 * q^84 - 64 * q^85 + 60 * q^88 - 260 * q^89 + 48 * q^90 + 144 * q^92 - 64 * q^93 + 40 * q^94 - 20 * q^96 - 180 * q^97 + 256 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/300\mathbb{Z}\right)^\times$.

$n$	$101$	$151$	$277$
$\chi(n)$	$1$	$-1$	$e\left(\frac{11}{20}\right)$

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 $

$2$	−1.28860	−	0.582664i	−0.911181	−	0.412006i
$2$	−1.28860	−	0.582664i	−0.911181	−	0.412006i
$3$	0.453990	+	0.891007i	0.262112	+	0.514423i
$3$	0.453990	+	0.891007i	0.262112	+	0.514423i
$4$	1.32101	+	1.50165i	0.660503	+	0.750824i
$5$	−1.39750	−	1.74556i	−0.624981	−	0.780640i
$5$	−1.39750	−	1.74556i	−0.624981	−	0.780640i
$6$	−0.0658569	−	1.41268i	−0.0268859	−	0.576724i
$7$	2.75918	+	2.75918i	1.04287	+	1.04287i	0.999039	+	0.0438337i	$0.0139572\pi$
$7$	2.75918	+	2.75918i	1.04287	+	1.04287i	0.0438337	+	0.999039i	$0.486043\pi$
$8$	−0.827297	−	2.70473i	−0.292494	−	0.956267i
$9$	−0.587785	+	0.809017i	−0.195928	+	0.269672i
$10$	0.783748	+	3.06362i	0.247843	+	0.968800i
$11$	0.189562	+	0.260910i	0.0571552	+	0.0786674i	0.836638	−	0.547756i	$-0.184518\pi$
$11$	0.189562	+	0.260910i	0.0571552	+	0.0786674i	−0.779483	+	0.626424i	$0.784518\pi$
$12$	−0.738254	+	1.85876i	−0.213116	+	0.536577i
$13$	0.0568939	+	0.359214i	0.0157795	+	0.0996280i	0.994321	−	0.106421i	$-0.0339392\pi$
$13$	0.0568939	+	0.359214i	0.0157795	+	0.0996280i	−0.978542	+	0.206049i	$0.933939\pi$
$14$	−1.94782	−	5.16317i	−0.520576	−	1.37992i
$15$	0.920857	−	2.03765i	0.237764	−	0.526119i
$16$	−0.509891	+	3.96737i	−0.127473	+	0.991842i
$17$	6.81039	+	3.47007i	1.65176	+	0.841615i	0.996259	+	0.0864233i	$0.0275437\pi$
$17$	6.81039	+	3.47007i	1.65176	+	0.841615i	0.655504	+	0.755192i	$0.272456\pi$
$18$	1.22881	−	0.700022i	0.289633	−	0.164997i
$19$	−1.52937	−	4.70692i	−0.350861	−	1.07984i	−0.958370	−	0.285528i	$-0.907831\pi$
$19$	−1.52937	−	4.70692i	−0.350861	−	1.07984i	0.607509	−	0.794313i	$-0.292169\pi$
$20$	0.775117	−	4.40445i	0.173321	−	0.984865i
$21$	−1.20581	+	3.71109i	−0.263129	+	0.809826i
$22$	−0.0922480	−	0.446661i	−0.0196673	−	0.0952285i
$23$	−1.39600	+	8.81398i	−0.291086	+	1.83784i	0.216552	+	0.976271i	$0.430519\pi$
$23$	−1.39600	+	8.81398i	−0.291086	+	1.83784i	−0.507637	+	0.861571i	$0.669481\pi$
$24$	2.03435	−	1.96505i	0.415260	−	0.401114i
$25$	−1.09399	+	4.87885i	−0.218797	+	0.975770i
$26$	0.135987	−	0.496035i	0.0266693	−	0.0972804i
$27$	−0.987688	−	0.156434i	−0.190081	−	0.0301058i
$28$	−0.498426	+	7.78821i	−0.0941936	+	1.47183i
$29$	6.53236	+	2.12249i	1.21303	+	0.394137i	0.844539	−	0.535495i	$-0.179875\pi$
$29$	6.53236	+	2.12249i	1.21303	+	0.394137i	0.368490	+	0.929632i	$0.379875\pi$
$30$	−2.37389	+	2.08918i	−0.433410	+	0.381430i
$31$	5.16506	−	1.67823i	0.927672	−	0.301419i	0.194062	−	0.980989i	$-0.437834\pi$
$31$	5.16506	−	1.67823i	0.927672	−	0.301419i	0.733610	+	0.679570i	$0.237834\pi$
$32$	2.96869	−	4.81527i	0.524795	−	0.851228i
$33$	−0.146413	+	0.287352i	−0.0254873	+	0.0500216i
$34$	−6.75402	−	8.43972i	−1.15830	−	1.44740i
$35$	0.960370	−	8.67228i	0.162332	−	1.46588i
$36$	−1.99133	+	0.186069i	−0.331888	+	0.0310115i
$37$	5.02172	−	0.795363i	0.825566	−	0.130757i	0.270665	−	0.962673i	$-0.412756\pi$
$37$	5.02172	−	0.795363i	0.825566	−	0.130757i	0.554901	+	0.831917i	$0.312756\pi$
$38$	−0.771798	+	6.95646i	−0.125202	+	1.12849i
$39$	−0.294233	+	0.213773i	−0.0471149	+	0.0342310i
$40$	−3.56514	+	5.22397i	−0.563697	+	0.825981i
$41$	−7.28627	−	5.29378i	−1.13792	−	0.826750i	−0.151095	−	0.988519i	$-0.548280\pi$
$41$	−7.28627	−	5.29378i	−1.13792	−	0.826750i	−0.986829	+	0.161769i	$0.948280\pi$
$42$	3.71613	−	4.07955i	0.573411	−	0.629488i
$43$	1.45559	−	1.45559i	0.221976	−	0.221976i	−0.587354	−	0.809330i	$-0.699830\pi$
$43$	1.45559	−	1.45559i	0.221976	−	0.221976i	0.809330	+	0.587354i	$0.199830\pi$
$44$	−0.141382	+	0.629320i	−0.0213142	+	0.0948735i
$45$	2.23362	−	0.104585i	0.332969	−	0.0155906i
$46$	6.93448	−	10.5443i	1.02243	−	1.55468i
$47$	0.891709	−	0.454348i	0.130069	−	0.0662735i	−0.387745	−	0.921767i	$-0.626746\pi$
$47$	0.891709	−	0.454348i	0.130069	−	0.0662735i	0.517814	+	0.855493i	$0.326746\pi$
$48$	−3.76644	+	1.34683i	−0.543638	+	0.194398i
$49$			8.22616i			1.17517i
$50$	4.25245	−	5.64949i	0.601387	−	0.798958i
$51$			7.64348i			1.07030i
$52$	−0.464256	+	0.559958i	−0.0643807	+	0.0776522i
$53$	−2.04487	+	1.04191i	−0.280885	+	0.143118i	−0.588758	−	0.808310i	$-0.700383\pi$
$53$	−2.04487	+	1.04191i	−0.280885	+	0.143118i	0.307873	+	0.951427i	$0.400383\pi$
$54$	1.18159	+	0.777073i	0.160794	+	0.105746i
$55$	0.190522	−	0.695515i	0.0256900	−	0.0937833i
$56$	5.18018	−	9.74551i	0.692231	−	1.30230i
$57$	3.49957	−	3.49957i	0.463530	−	0.463530i
$58$	−7.18093	−	6.54123i	−0.942903	−	0.858905i
$59$	−5.88836	−	4.27814i	−0.766599	−	0.556967i	0.134328	−	0.990937i	$-0.457112\pi$
$59$	−5.88836	−	4.27814i	−0.766599	−	0.556967i	−0.900927	+	0.433970i	$0.857112\pi$
$60$	4.27629	−	1.30895i	0.552067	−	0.168984i
$61$	−3.66737	+	2.66450i	−0.469559	+	0.341155i	−0.797269	−	0.603624i	$-0.793723\pi$
$61$	−3.66737	+	2.66450i	−0.469559	+	0.341155i	0.327710	+	0.944778i	$0.393723\pi$
$62$	−7.63356	−	0.846920i	−0.969464	−	0.107559i
$63$	−3.85403	+	0.610418i	−0.485562	+	0.0769055i
$64$	−6.63116	+	4.47524i	−0.828895	+	0.559405i
$65$	0.547522	−	0.601314i	0.0679117	−	0.0745838i
$66$	0.356099	−	0.284974i	0.0438327	−	0.0350778i
$67$	0.984607	−	1.93240i	0.120289	−	0.236080i	−0.823009	−	0.568029i	$-0.807706\pi$
$67$	0.984607	−	1.93240i	0.120289	−	0.236080i	0.943297	+	0.331949i	$0.107706\pi$
$68$	3.78574	+	14.8108i	0.459089	+	1.79607i
$69$	−8.48708	+	2.75762i	−1.02172	+	0.331979i
$70$	−6.29057	+	10.6156i	−0.751866	+	1.26880i
$71$	−8.42272	−	2.73671i	−0.999593	−	0.324787i	−0.236890	−	0.971536i	$-0.576128\pi$
$71$	−8.42272	−	2.73671i	−0.999593	−	0.324787i	−0.762703	+	0.646749i	$0.776128\pi$
$72$	2.67445	+	0.920504i	0.315187	+	0.108482i
$73$	−12.8742	−	2.03907i	−1.50681	−	0.238656i	−0.652250	−	0.758004i	$-0.726175\pi$
$73$	−12.8742	−	2.03907i	−1.50681	−	0.238656i	−0.854562	+	0.519349i	$0.826175\pi$
$74$	−6.93444	−	1.90107i	−0.806113	−	0.220995i
$75$	−4.84375	+	1.24020i	−0.559308	+	0.143206i
$76$	5.04782	−	8.51443i	0.579025	−	0.976673i
$77$	−0.196862	+	1.24294i	−0.0224345	+	0.141646i
$78$	0.503707	−	0.104030i	0.0570336	−	0.0117790i
$79$	3.45409	−	10.6306i	0.388615	−	1.19603i	−0.545208	−	0.838301i	$-0.683549\pi$
$79$	3.45409	−	10.6306i	0.388615	−	1.19603i	0.933823	−	0.357734i	$-0.116451\pi$
$80$	7.63787	−	4.65435i	0.853940	−	0.520372i
$81$	−0.309017	−	0.951057i	−0.0343352	−	0.105673i
$82$	6.30462	+	11.0670i	0.696229	+	1.22215i
$83$	−4.05203	−	2.06461i	−0.444768	−	0.226621i	0.217239	−	0.976119i	$-0.430295\pi$
$83$	−4.05203	−	2.06461i	−0.444768	−	0.226621i	−0.662007	+	0.749498i	$0.730295\pi$
$84$	−7.16563	+	3.09167i	−0.781834	+	0.337329i
$85$	−3.46030	−	16.7374i	−0.375322	−	1.81543i
$86$	−2.72381	+	1.02756i	−0.293716	+	0.110805i
$87$	1.07447	+	6.78397i	0.115196	+	0.727318i
$88$	0.548868	−	0.728566i	0.0585095	−	0.0776654i
$89$	−2.42940	−	3.34378i	−0.257516	−	0.354440i	0.660610	−	0.750729i	$-0.270298\pi$
$89$	−2.42940	−	3.34378i	−0.257516	−	0.354440i	−0.918126	+	0.396289i	$0.870298\pi$
$90$	−2.93919	−	1.16668i	−0.309818	−	0.122979i
$91$	−0.834156	+	1.14812i	−0.0874433	+	0.120355i
$92$	−15.0796	+	9.54702i	−1.57216	+	0.995345i
$93$	3.84020	+	3.84020i	0.398210	+	0.398210i
$94$	−1.41379	+	0.0659088i	−0.145822	+	0.00679797i
$95$	−6.07893	+	9.24753i	−0.623685	+	0.948776i
$96$	5.63820	+	0.459034i	0.575446	+	0.0468500i
$97$	1.13559	+	2.22872i	0.115302	+	0.226292i	0.941444	−	0.337169i	$-0.109469\pi$
$97$	1.13559	+	2.22872i	0.115302	+	0.226292i	−0.826142	+	0.563461i	$0.809469\pi$
$98$	4.79309	−	10.6003i	0.484175	−	1.07079i
$99$	−0.322503			−0.0324128
$100$	−8.77148	+	4.80221i	−0.877148	+	0.480221i
$101$	1.62632			0.161825			0.0809123	−	0.996721i	$-0.474217\pi$
$101$	1.62632			0.161825			0.0809123	+	0.996721i	$0.474217\pi$
$102$	4.45358	−	9.84943i	0.440970	−	0.975239i
$103$	−0.899683	−	1.76573i	−0.0886484	−	0.173982i	0.842426	−	0.538813i	$-0.181127\pi$
$103$	−0.899683	−	1.76573i	−0.0886484	−	0.173982i	−0.931074	+	0.364830i	$0.881127\pi$
$104$	0.924510	−	0.451060i	0.0906556	−	0.0442300i
$105$	8.16306	−	3.08144i	0.796633	−	0.300718i
$106$	3.24212	−	0.151142i	0.314902	−	0.0146802i
$107$	−2.76146	−	2.76146i	−0.266960	−	0.266960i	0.560914	−	0.827874i	$-0.310450\pi$
$107$	−2.76146	−	2.76146i	−0.266960	−	0.266960i	−0.827874	+	0.560914i	$0.810450\pi$
$108$	−1.06983	−	1.68981i	−0.102945	−	0.162602i
$109$	−5.43848	+	7.48543i	−0.520912	+	0.716974i	−0.985712	−	0.168442i	$-0.946126\pi$
$109$	−5.43848	+	7.48543i	−0.520912	+	0.716974i	0.464799	+	0.885416i	$0.346126\pi$
$110$	−0.650759	+	0.785234i	−0.0620475	+	0.0748691i
$111$	2.98849	+	4.11330i	0.283655	+	0.390417i
$112$	−12.3536	+	9.53981i	−1.16730	+	0.901427i
$113$	−1.93191	−	12.1976i	−0.181739	−	1.14745i	−0.894838	−	0.446391i	$-0.852709\pi$
$113$	−1.93191	−	12.1976i	−0.181739	−	1.14745i	0.713099	−	0.701063i	$-0.247291\pi$
$114$	−6.54864	+	2.47049i	−0.613337	+	0.231383i
$115$	17.3363	−	9.88074i	1.61662	−	0.921384i
$116$	5.44205	+	12.6131i	0.505281	+	1.17110i
$117$	−0.324052	−	0.165113i	−0.0299586	−	0.0152647i
$118$	5.09505	+	8.94377i	0.469037	+	0.823341i
$119$	9.21656	+	28.3656i	0.844880	+	2.60027i
$120$	−6.27312	−	0.804928i	−0.572655	−	0.0734795i
$121$	3.36705	−	10.3627i	0.306095	−	0.942064i
$122$	6.27831	−	1.29664i	0.568411	−	0.117393i
$123$	1.40890	−	8.89544i	0.127036	−	0.802075i
$124$	9.34318	+	5.53915i	0.839042	+	0.497430i
$125$	10.0452	−	4.90857i	0.898469	−	0.439036i
$126$	5.32199	+	1.45902i	0.474121	+	0.129980i
$127$	0.984224	+	0.155886i	0.0873358	+	0.0138326i	0.199949	−	0.979806i	$-0.435922\pi$
$127$	0.984224	+	0.155886i	0.0873358	+	0.0138326i	−0.112614	+	0.993639i	$0.535922\pi$
$128$	11.1525	−	1.90307i	0.985751	−	0.168210i
$129$	1.95777	+	0.636118i	0.172372	+	0.0560070i
$130$	−1.05590	+	0.455834i	−0.0926088	+	0.0399793i
$131$	16.5622	−	5.38139i	1.44705	−	0.470174i	0.522960	−	0.852357i	$-0.324828\pi$
$131$	16.5622	−	5.38139i	1.44705	−	0.470174i	0.924087	+	0.382183i	$0.124828\pi$
$132$	−0.624914	+	0.159733i	−0.0543918	+	0.0139029i
$133$	8.76743	−	17.2070i	0.760232	−	1.49204i
$134$	−2.39471	+	1.91640i	−0.206871	+	0.165552i
$135$	1.10723	+	1.94269i	0.0952950	+	0.167200i
$136$	3.75139	−	21.2911i	0.321679	−	1.82569i
$137$	8.21802	−	1.30161i	0.702113	−	0.111204i	0.204837	−	0.978796i	$-0.434334\pi$
$137$	8.21802	−	1.30161i	0.702113	−	0.111204i	0.497276	+	0.867592i	$0.334334\pi$
$138$	12.5433	+	1.39164i	1.06775	+	0.118464i
$139$	6.67504	−	4.84970i	0.566170	−	0.411346i	−0.267542	−	0.963546i	$-0.586211\pi$
$139$	6.67504	−	4.84970i	0.566170	−	0.411346i	0.833712	+	0.552200i	$0.186211\pi$
$140$	14.2914	−	10.0140i	1.20784	−	0.846337i
$141$	0.809655	+	0.588249i	0.0681852	+	0.0495395i
$142$	9.25898	+	8.43415i	0.776996	+	0.707778i
$143$	−0.0829377	+	0.0829377i	−0.00693560	+	0.00693560i
$144$	−2.90996	−	2.74447i	−0.242497	−	0.228706i
$145$	−5.42403	−	14.3688i	−0.450441	−	1.19327i
$146$	15.4017	+	10.1289i	1.27465	+	0.838274i
$147$	−7.32956	+	3.73460i	−0.604532	+	0.308025i
$148$	7.82807	+	6.49018i	0.643464	+	0.533489i
$149$			15.6909i			1.28545i	0.766097	+	0.642725i	$0.222196\pi$
$149$			15.6909i			1.28545i	−0.766097	+	0.642725i	$0.777804\pi$
$150$	6.96430	+	1.22415i	0.568633	+	0.0999510i
$151$			8.75664i			0.712605i	0.934371	+	0.356303i	$0.115963\pi$
$151$			8.75664i			0.712605i	−0.934371	+	0.356303i	$0.884037\pi$
$152$	−11.4657	+	8.03055i	−0.929991	+	0.651364i
$153$	−6.81039	+	3.47007i	−0.550587	+	0.280538i
$154$	0.977891	−	1.48695i	0.0788007	−	0.119822i
$155$	−10.1476	−	6.67061i	−0.815077	−	0.535797i
$156$	−0.709694	−	0.159439i	−0.0568210	−	0.0127654i
$157$	−3.89141	+	3.89141i	−0.310568	+	0.310568i	−0.845130	−	0.534562i	$-0.820477\pi$
$157$	−3.89141	+	3.89141i	−0.310568	+	0.310568i	0.534562	+	0.845130i	$0.320477\pi$
$158$	−10.6450	+	11.6861i	−0.846872	+	0.929693i
$159$	−1.85670	−	1.34897i	−0.147246	−	0.106981i
$160$	−12.5541	+	1.54731i	−0.992490	+	0.122325i
$161$	−28.1712	+	20.4676i	−2.22020	+	1.61307i
$162$	−0.155946	+	1.40559i	−0.0122523	+	0.110434i
$163$	−15.5572	+	2.46402i	−1.21854	+	0.192997i	−0.732393	−	0.680882i	$-0.761597\pi$
$163$	−15.5572	+	2.46402i	−1.21854	+	0.192997i	−0.486144	+	0.873879i	$0.661597\pi$
$164$	−1.67580	−	17.9345i	−0.130858	−	1.40045i
$165$	0.706204	−	0.146001i	0.0549779	−	0.0113662i
$166$	4.01849	+	5.02144i	0.311895	+	0.389739i
$167$	1.25530	−	2.46366i	0.0971380	−	0.190644i	−0.837324	−	0.546707i	$-0.815881\pi$
$167$	1.25530	−	2.46366i	0.0971380	−	0.190644i	0.934462	+	0.356063i	$0.115881\pi$
$168$	11.0351	+	0.191208i	0.851374	+	0.0147521i
$169$	12.2379	−	3.97635i	0.941380	−	0.305873i
$170$	−5.29332	+	23.5841i	−0.405979	+	1.80882i
$171$	4.70692	+	1.52937i	0.359947	+	0.116954i
$172$	4.10864	+	0.262942i	0.313280	+	0.0200492i
$173$	11.8456	+	1.87616i	0.900605	+	0.142642i	0.589533	−	0.807744i	$-0.299312\pi$
$173$	11.8456	+	1.87616i	0.900605	+	0.142642i	0.311072	+	0.950386i	$0.399312\pi$
$174$	2.56820	−	9.36791i	0.194695	−	0.710180i
$175$	−16.4801	+	10.4431i	−1.24578	+	0.789427i
$176$	−1.13178	+	0.619028i	−0.0853114	+	0.0466610i
$177$	1.13859	−	7.18880i	0.0855820	−	0.540343i
$178$	1.18223	+	5.72433i	0.0886121	+	0.429057i
$179$	0.191592	−	0.589661i	0.0143203	−	0.0440733i	−0.943641	−	0.330971i	$-0.892624\pi$
$179$	0.191592	−	0.589661i	0.0143203	−	0.0440733i	0.957961	+	0.286897i	$0.0926239\pi$
$180$	3.10767	+	3.21595i	0.231632	+	0.239703i
$181$	−0.378454	−	1.16476i	−0.0281303	−	0.0865761i	0.936006	−	0.351985i	$-0.114493\pi$
$181$	−0.378454	−	1.16476i	−0.0281303	−	0.0865761i	−0.964136	+	0.265409i	$0.914493\pi$
$182$	1.74386	−	0.993437i	0.129264	−	0.0736384i
$183$	−4.03904	−	2.05800i	−0.298575	−	0.152131i
$184$	24.9944	−	3.51598i	1.84261	−	0.259202i
$185$	−8.40621	−	7.65422i	−0.618037	−	0.562749i
$186$	−2.71095	−	7.18605i	−0.198777	−	0.526907i
$187$	0.385618	+	2.43470i	0.0281992	+	0.178043i
$188$	1.86022	+	0.738836i	0.135671	+	0.0538852i
$189$	−2.29358	−	3.15684i	−0.166833	−	0.229626i
$190$	13.2215	−	8.37444i	0.959191	−	0.607546i
$191$	0.928379	−	1.27780i	0.0671751	−	0.0924586i	−0.774108	−	0.633054i	$-0.781801\pi$
$191$	0.928379	−	1.27780i	0.0671751	−	0.0924586i	0.841283	+	0.540596i	$0.181801\pi$
$192$	−6.99795	−	3.87669i	−0.505033	−	0.279776i
$193$	−11.7970	−	11.7970i	−0.849166	−	0.849166i	0.140863	−	0.990029i	$-0.455012\pi$
$193$	−11.7970	−	11.7970i	−0.849166	−	0.849166i	−0.990029	+	0.140863i	$0.955012\pi$
$194$	−0.164731	−	3.53361i	−0.0118270	−	0.253698i
$195$	0.784344	+	0.214855i	0.0561680	+	0.0153861i
$196$	−12.3528	+	10.8668i	−0.882343	+	0.776200i
$197$	−7.02214	−	13.7817i	−0.500307	−	0.981908i	−0.993697	−	0.112100i	$-0.964242\pi$
$197$	−7.02214	−	13.7817i	−0.500307	−	0.981908i	0.493390	−	0.869808i	$-0.335758\pi$
$198$	0.415579	+	0.187911i	0.0295339	+	0.0133542i
$199$	−3.88395			−0.275326			−0.137663	−	0.990479i	$-0.543959\pi$
$199$	−3.88395			−0.275326			−0.137663	+	0.990479i	$0.543959\pi$
$200$	14.1010	−	1.07732i	0.997094	−	0.0761782i
$201$	2.16878			0.152974
$202$	−2.09568	−	0.947596i	−0.147452	−	0.0666726i
$203$	12.1676	+	23.8803i	0.854000	+	1.67607i
$204$	−11.4778	+	10.0971i	−0.803608	+	0.706937i
$205$	0.941925	+	20.1167i	0.0657869	+	1.40501i
$206$	0.130510	+	2.79954i	0.00909306	+	0.195053i
$207$	−6.31011	−	6.31011i	−0.438583	−	0.438583i
$208$	−1.45414	+	0.0425590i	−0.100827	+	0.00295094i
$209$	0.938172	−	1.29128i	0.0648947	−	0.0893199i
$210$	−12.3144	−	0.785566i	−0.849775	−	0.0542092i
$211$	−7.41164	−	10.2012i	−0.510238	−	0.702283i	0.473721	−	0.880675i	$-0.342910\pi$
$211$	−7.41164	−	10.2012i	−0.510238	−	0.702283i	−0.983959	+	0.178392i	$0.942910\pi$
$212$	−4.26587	−	1.69430i	−0.292981	−	0.116365i
$213$	−1.38541	−	8.74714i	−0.0949268	−	0.599344i
$214$	1.94943	+	5.16743i	0.133260	+	0.353239i
$215$	−4.57502	−	0.506639i	−0.312014	−	0.0345525i
$216$	0.393999	+	2.80085i	0.0268082	+	0.190574i
$217$	18.8819	+	9.62080i	1.28179	+	0.653102i
$218$	11.3695	−	6.47695i	0.770043	−	0.438675i
$219$	−4.02794	−	12.3967i	−0.272183	−	0.837693i
$220$	1.29610	−	0.632683i	0.0873830	−	0.0426554i
$221$	−0.859027	+	2.64381i	−0.0577844	+	0.177842i
$222$	−1.45431	−	7.04170i	−0.0976067	−	0.472608i
$223$	−0.458345	+	2.89388i	−0.0306930	+	0.193788i	−0.998271	−	0.0587857i	$-0.981277\pi$
$223$	−0.458345	+	2.89388i	−0.0306930	+	0.193788i	0.967578	+	0.252574i	$0.0812771\pi$
$224$	21.4774	−	5.09506i	1.43502	−	0.340428i
$225$	−3.30405	−	3.75277i	−0.220270	−	0.250185i
$226$	−4.61764	+	16.8436i	−0.307161	+	1.12042i
$227$	17.0941	+	2.70744i	1.13457	+	0.179699i	0.695345	−	0.718676i	$-0.255252\pi$
$227$	17.0941	+	2.70744i	1.13457	+	0.179699i	0.439229	+	0.898375i	$0.355252\pi$
$228$	9.87808	+	0.632172i	0.654192	+	0.0418666i
$229$	−3.66300	−	1.19018i	−0.242058	−	0.0786494i	0.185476	−	0.982649i	$-0.440617\pi$
$229$	−3.66300	−	1.19018i	−0.242058	−	0.0786494i	−0.427534	+	0.903999i	$0.640617\pi$
$230$	−28.0968	+	2.63114i	−1.85265	+	0.173492i
$231$	−1.19684	+	0.388876i	−0.0787461	+	0.0255862i
$232$	0.336570	−	19.4242i	0.0220969	−	1.27526i
$233$	−9.42750	+	18.5025i	−0.617616	+	1.21214i	0.344316	+	0.938854i	$0.388111\pi$
$233$	−9.42750	+	18.5025i	−0.617616	+	1.21214i	−0.961933	+	0.273287i	$0.911889\pi$
$234$	0.321369	+	0.401578i	0.0210086	+	0.0262520i
$235$	−2.03926	−	0.921583i	−0.133027	−	0.0601174i
$236$	−1.35429	−	14.4937i	−0.0881567	−	0.943459i
$237$	11.0400	−	1.74857i	0.717128	−	0.113582i
$238$	4.65114	−	41.9223i	0.301489	−	2.71742i
$239$	−14.8348	+	10.7781i	−0.959580	+	0.697176i	−0.953053	−	0.302803i	$-0.902078\pi$
$239$	−14.8348	+	10.7781i	−0.959580	+	0.697176i	−0.00652706	+	0.999979i	$0.502078\pi$
$240$	7.61458	+	4.69236i	0.491519	+	0.302890i
$241$	3.52121	+	2.55831i	0.226821	+	0.164795i	0.695392	−	0.718631i	$-0.255231\pi$
$241$	3.52121	+	2.55831i	0.226821	+	0.164795i	−0.468571	+	0.883426i	$0.655231\pi$
$242$	−10.3768	+	11.3916i	−0.667044	+	0.732278i
$243$	0.707107	−	0.707107i	0.0453609	−	0.0453609i
$244$	−8.84577	−	1.98728i	−0.566292	−	0.127223i
$245$	14.3593	−	11.4961i	0.917382	−	0.734457i
$246$	−6.99857	+	10.6418i	−0.446212	+	0.678496i
$247$	1.60378	−	0.817166i	0.102046	−	0.0519950i
$248$	−8.81220	−	12.5817i	−0.559575	−	0.798939i
$249$		−	4.54770i		−	0.288199i
$250$	−15.8043	+	0.472241i	−0.999554	+	0.0298671i
$251$		−	9.82650i		−	0.620243i	−0.950697	−	0.310121i	$-0.899630\pi$
$251$		−	9.82650i		−	0.620243i	0.950697	−	0.310121i	$-0.100370\pi$
$252$	−6.00783	−	4.98103i	−0.378458	−	0.313775i
$253$	−2.56429	+	1.30657i	−0.161215	+	0.0821433i
$254$	−1.17745	−	0.774348i	−0.0738796	−	0.0485869i
$255$	13.3422	−	10.6818i	0.835520	−	0.668918i
$256$	−15.4800	−	4.04585i	−0.967501	−	0.252866i
$257$	−2.73807	+	2.73807i	−0.170796	+	0.170796i	−0.787329	−	0.616533i	$-0.788537\pi$
$257$	−2.73807	+	2.73807i	−0.170796	+	0.170796i	0.616533	+	0.787329i	$0.288537\pi$
$258$	−2.15215	−	1.96043i	−0.133987	−	0.122051i
$259$	16.0504	+	11.6613i	0.997323	+	0.724597i
$260$	1.62624	+	0.0278463i	0.100855	+	0.00172695i
$261$	−5.55676	+	4.03722i	−0.343955	+	0.249898i
$262$	−24.4777	−	2.71572i	−1.51224	−	0.167778i
$263$	23.9430	−	3.79219i	1.47639	−	0.233837i	0.634262	−	0.773118i	$-0.281304\pi$
$263$	23.9430	−	3.79219i	1.47639	−	0.233837i	0.842125	+	0.539282i	$0.181304\pi$
$264$	0.898338	+	0.158283i	0.0552889	+	0.00974164i
$265$	4.67643	+	2.11338i	0.287271	+	0.129824i
$266$	−21.3237	+	17.0646i	−1.30744	+	1.04630i
$267$	1.87641	−	3.68265i	0.114834	−	0.225375i
$268$	4.20245	−	1.07418i	0.256706	−	0.0656158i
$269$	−9.75063	+	3.16817i	−0.594506	+	0.193167i	−0.590789	−	0.806826i	$-0.701183\pi$
$269$	−9.75063	+	3.16817i	−0.594506	+	0.193167i	−0.00371752	+	0.999993i	$0.501183\pi$
$270$	−0.294844	−	3.14850i	−0.0179436	−	0.191612i
$271$	10.8353	+	3.52061i	0.658199	+	0.213862i	0.619026	−	0.785371i	$-0.287528\pi$
$271$	10.8353	+	3.52061i	0.658199	+	0.213862i	0.0391730	+	0.999232i	$0.487528\pi$
$272$	−17.2396	+	25.2500i	−1.04530	+	1.53100i
$273$	−1.40168	−	0.222004i	−0.0848334	−	0.0134363i
$274$	−11.3482	−	3.11109i	−0.685569	−	0.187948i
$275$	−1.48032	+	0.639415i	−0.0892667	+	0.0385582i
$276$	−15.3525	−	9.10178i	−0.924109	−	0.547863i
$277$	−3.73932	+	23.6091i	−0.224674	+	1.41853i	0.575027	+	0.818135i	$0.304992\pi$
$277$	−3.73932	+	23.6091i	−0.224674	+	1.41853i	−0.799700	+	0.600399i	$0.795008\pi$
$278$	−11.4272	+	2.36004i	−0.685360	+	0.141546i
$279$	−1.67823	+	5.16506i	−0.100473	+	0.309224i
$280$	−24.2507	+	4.57701i	−1.44926	+	0.273529i
$281$	4.94655	+	15.2239i	0.295087	+	0.908184i	0.983192	+	0.182573i	$0.0584426\pi$
$281$	4.94655	+	15.2239i	0.295087	+	0.908184i	−0.688106	+	0.725611i	$0.741557\pi$
$282$	−0.700574	−	1.22978i	−0.0417186	−	0.0732322i
$283$	−26.1393	−	13.3186i	−1.55382	−	0.791710i	−0.554635	−	0.832094i	$-0.687142\pi$
$283$	−26.1393	−	13.3186i	−1.55382	−	0.791710i	−0.999184	+	0.0403832i	$0.987142\pi$
$284$	−7.01689	−	16.2632i	−0.416376	−	0.965041i
$285$	−10.9994	−	1.21807i	−0.651547	−	0.0721525i
$286$	0.155199	−	0.0585491i	0.00917709	−	0.00346208i
$287$	−5.49762	−	34.7106i	−0.324515	−	2.04890i
$288$	2.15069	+	5.23207i	0.126730	+	0.308303i
$289$	24.3477	+	33.5117i	1.43222	+	1.97128i
$290$	−1.38277	+	21.6761i	−0.0811993	+	1.27287i
$291$	−1.47026	+	2.02364i	−0.0861881	+	0.118628i
$292$	−13.9449	−	22.0261i	−0.816065	−	1.28898i
$293$	7.72111	+	7.72111i	0.451072	+	0.451072i	0.895710	−	0.444638i	$-0.146668\pi$
$293$	7.72111	+	7.72111i	0.451072	+	0.451072i	−0.444638	+	0.895710i	$0.646668\pi$
$294$	11.6209	−	0.541749i	0.677746	−	0.0315955i
$295$	0.761212	+	16.2572i	0.0443194	+	0.946531i
$296$	−6.30570	−	12.9244i	−0.366511	−	0.751216i
$297$	−0.146413	−	0.287352i	−0.00849576	−	0.0166739i
$298$	9.14253	−	20.2194i	0.529613	−	1.17128i
$299$	−3.24553			−0.187694
$300$	−8.26096	−	5.63529i	−0.476947	−	0.325353i
$301$	8.03249			0.462985
$302$	5.10218	−	11.2838i	0.293597	−	0.649312i
$303$	0.738332	+	1.44906i	0.0424161	+	0.0832463i
$304$	19.4539	−	3.66756i	1.11576	−	0.210349i
$305$	9.77622	+	2.67799i	0.559785	+	0.153341i
$306$	10.7978	−	0.503376i	0.617268	−	0.0287761i
$307$	−2.29404	−	2.29404i	−0.130928	−	0.130928i	0.638606	−	0.769534i	$-0.279511\pi$
$307$	−2.29404	−	2.29404i	−0.130928	−	0.130928i	−0.769534	+	0.638606i	$0.779511\pi$
$308$	−2.12651	+	1.34631i	−0.121169	+	0.0767130i
$309$	1.16483	−	1.60325i	0.0662647	−	0.0912055i
$310$	9.18956	+	14.5084i	0.521932	+	0.824024i
$311$	−12.6963	−	17.4750i	−0.719941	−	0.990914i	−0.999526	−	0.0307932i	$-0.990197\pi$
$311$	−12.6963	−	17.4750i	−0.719941	−	0.990914i	0.279584	−	0.960121i	$-0.409803\pi$
$312$	0.821616	+	0.618967i	0.0465148	+	0.0350421i
$313$	0.769705	+	4.85973i	0.0435063	+	0.274688i	0.999846	−	0.0175706i	$-0.00559320\pi$
$313$	0.769705	+	4.85973i	0.0435063	+	0.274688i	−0.956339	+	0.292259i	$0.905593\pi$
$314$	7.28187	−	2.74710i	0.410939	−	0.155028i
$315$	6.45153	+	5.87440i	0.363503	+	0.330985i
$316$	20.5263	−	8.85624i	1.15469	−	0.498202i
$317$	−23.3476	−	11.8962i	−1.31133	−	0.668158i	−0.348261	−	0.937398i	$-0.613228\pi$
$317$	−23.3476	−	11.8962i	−1.31133	−	0.668158i	−0.963073	+	0.269239i	$0.913228\pi$
$318$	1.60656	+	2.82013i	0.0900913	+	0.158145i
$319$	0.684510	+	2.10670i	0.0383252	+	0.117953i
$320$	17.0789	+	5.32096i	0.954737	+	0.297451i
$321$	1.20680	−	3.71416i	0.0673571	−	0.207304i
$322$	48.2272	−	9.96026i	2.68760	−	0.555064i
$323$	5.91771	−	37.3630i	0.329270	−	2.07893i
$324$	1.01994	−	1.72039i	0.0566633	−	0.0955770i
$325$	−1.81479	−	0.115398i	−0.100667	−	0.00640113i
$326$	21.4828	+	5.88949i	1.18982	+	0.326189i
$327$	−9.13859	−	1.44741i	−0.505365	−	0.0800420i
$328$	−8.29036	+	24.0869i	−0.457758	+	1.32998i
$329$	3.71402	+	1.20676i	0.204760	+	0.0665307i
$330$	−0.995087	−	0.223342i	−0.0547778	−	0.0122946i
$331$	2.14095	−	0.695636i	0.117677	−	0.0382356i	−0.249587	−	0.968353i	$-0.580295\pi$
$331$	2.14095	−	0.695636i	0.117677	−	0.0382356i	0.367264	+	0.930117i	$0.380295\pi$
$332$	−2.25243	−	8.81208i	−0.123618	−	0.483626i
$333$	−2.30823	+	4.53016i	−0.126490	+	0.248251i
$334$	−3.05307	+	2.44327i	−0.167057	+	0.133690i
$335$	−4.74911	+	0.981835i	−0.259472	+	0.0536434i
$336$	−14.1084	−	6.67613i	−0.769678	−	0.364213i
$337$	5.30073	−	0.839553i	0.288749	−	0.0457334i	−0.0103796	−	0.999946i	$-0.503304\pi$
$337$	5.30073	−	0.839553i	0.288749	−	0.0457334i	0.299129	+	0.954213i	$0.403304\pi$
$338$	−18.0867	−	2.00667i	−0.983789	−	0.109148i
$339$	9.99108	−	7.25895i	0.542641	−	0.394252i
$340$	20.5626	−	27.3063i	1.11516	−	1.48089i
$341$	1.41697	+	1.02949i	0.0767331	+	0.0557499i
$342$	−5.17425	−	4.71330i	−0.279791	−	0.254866i
$343$	−3.38321	+	3.38321i	−0.182676	+	0.182676i
$344$	−5.14120	−	2.73278i	−0.277195	−	0.147342i
$345$	16.6743	+	10.9610i	0.897714	+	0.590119i
$346$	−14.1711	−	9.31964i	−0.761845	−	0.501027i
$347$	2.28048	−	1.16196i	0.122422	−	0.0623773i	−0.391707	−	0.920090i	$-0.628115\pi$
$347$	2.28048	−	1.16196i	0.122422	−	0.0623773i	0.514129	+	0.857713i	$0.328115\pi$
$348$	−8.76774	+	10.5751i	−0.470000	+	0.566887i
$349$		−	14.1549i		−	0.757693i	−0.925459	−	0.378847i	$-0.876321\pi$
$349$		−	14.1549i		−	0.757693i	0.925459	−	0.378847i	$-0.123679\pi$
$350$	27.3212	−	3.85468i	1.46038	−	0.206041i
$351$		−	0.363692i		−	0.0194124i
$352$	1.81911	−	0.138233i	0.0969587	−	0.00736784i
$353$	8.61001	−	4.38702i	0.458265	−	0.233498i	−0.209590	−	0.977789i	$-0.567213\pi$
$353$	8.61001	−	4.38702i	0.458265	−	0.233498i	0.667854	+	0.744292i	$0.267213\pi$
$354$	−5.65585	+	8.60011i	−0.300605	+	0.457091i
$355$	6.99366	+	18.5269i	0.371185	+	0.983308i
$356$	1.81193	−	8.06525i	0.0960321	−	0.427457i
$357$	−21.0897	+	21.0897i	−1.11619	+	1.11619i
$358$	−0.590461	+	0.648206i	−0.0312069	+	0.0342588i
$359$	12.7349	+	9.25247i	0.672124	+	0.488327i	0.870735	−	0.491752i	$-0.163643\pi$
$359$	12.7349	+	9.25247i	0.672124	+	0.488327i	−0.198612	+	0.980078i	$0.563643\pi$
$360$	−2.13074	−	5.95482i	−0.112300	−	0.313847i
$361$	−4.44476	+	3.22931i	−0.233935	+	0.169964i
$362$	−0.190987	+	1.72143i	−0.0100381	+	0.0904763i
$363$	10.7618	−	1.70451i	0.564850	−	0.0894635i
$364$	−2.82599	+	0.264060i	−0.148122	+	0.0138405i
$365$	14.4324	+	25.3224i	0.755425	+	1.32543i
$366$	4.00561	+	5.00535i	0.209377	+	0.261634i
$367$	2.56797	−	5.03993i	0.134047	−	0.263082i	−0.814220	−	0.580557i	$-0.802835\pi$
$367$	2.56797	−	5.03993i	0.134047	−	0.263082i	0.948267	+	0.317475i	$0.102835\pi$
$368$	−34.2565	−	10.0326i	−1.78574	−	0.522986i
$369$	8.56552	−	2.78311i	0.445903	−	0.144883i
$370$	6.37245	+	14.7613i	0.331288	+	0.767401i
$371$	−8.51700	−	2.76734i	−0.442181	−	0.143673i
$372$	−0.693704	+	10.8396i	−0.0359669	+	0.562005i
$373$	−36.5755	−	5.79298i	−1.89381	−	0.299949i	−0.902413	−	0.430872i	$-0.858206\pi$
$373$	−36.5755	−	5.79298i	−1.89381	−	0.299949i	−0.991393	+	0.130922i	$0.958206\pi$
$374$	0.921700	−	3.36205i	0.0476600	−	0.173847i
$375$	8.93399	+	6.72189i	0.461349	+	0.347117i
$376$	−1.96660	−	2.03595i	−0.101420	−	0.104996i
$377$	−0.390778	+	2.46727i	−0.0201261	+	0.127071i
$378$	1.11614	+	5.40431i	0.0574080	+	0.277968i
$379$	7.06358	−	21.7395i	0.362832	−	1.11668i	−0.588496	−	0.808500i	$-0.700280\pi$
$379$	7.06358	−	21.7395i	0.362832	−	1.11668i	0.951328	−	0.308181i	$-0.0997203\pi$
$380$	−21.9168	+	3.08763i	−1.12431	+	0.158392i
$381$	0.307933	+	0.947721i	0.0157759	+	0.0485532i
$382$	−1.94084	+	1.10565i	−0.0993022	+	0.0565700i
$383$	28.9397	+	14.7455i	1.47875	+	0.753461i	0.992716	−	0.120478i	$-0.0384426\pi$
$383$	28.9397	+	14.7455i	1.47875	+	0.753461i	0.486035	+	0.873939i	$0.338443\pi$
$384$	6.75878	+	9.07297i	0.344908	+	0.463003i
$385$	2.44474	−	1.39337i	0.124595	−	0.0710126i
$386$	8.32797	+	22.0753i	0.423883	+	1.12360i
$387$	0.322024	+	2.03318i	0.0163694	+	0.103352i
$388$	−1.84663	+	4.64941i	−0.0937486	+	0.236038i
$389$	−13.0849	−	18.0098i	−0.663429	−	0.913132i	0.336160	−	0.941805i	$-0.390872\pi$
$389$	−13.0849	−	18.0098i	−0.663429	−	0.913132i	−0.999589	+	0.0286732i	$0.990872\pi$
$390$	−0.885521	−	0.733872i	−0.0448401	−	0.0371610i
$391$	−40.0924	+	55.1825i	−2.02756	+	2.79070i
$392$	22.2496	−	6.80548i	1.12377	−	0.343729i
$393$	12.3139	+	12.3139i	0.621156	+	0.621156i
$394$	1.01865	+	21.8508i	0.0513187	+	1.10083i
$395$	−23.3835	+	8.82692i	−1.17655	+	0.444131i
$396$	−0.426028	−	0.484286i	−0.0214087	−	0.0243363i
$397$	−10.2521	−	20.1209i	−0.514540	−	1.00984i	−0.991401	−	0.130862i	$-0.958225\pi$
$397$	−10.2521	−	20.1209i	−0.514540	−	1.00984i	0.476861	−	0.878979i	$-0.341775\pi$
$398$	5.00488	+	2.26304i	0.250872	+	0.113436i
$399$	19.3119			0.966805
$400$	−18.7984	−	6.82793i	−0.939919	−	0.341396i
$401$	6.32448			0.315829			0.157915	−	0.987453i	$-0.449523\pi$
$401$	6.32448			0.315829			0.157915	+	0.987453i	$0.449523\pi$
$402$	−2.79470	−	1.26367i	−0.139387	−	0.0630262i
$403$	0.896704	+	1.75988i	0.0446680	+	0.0876659i
$404$	2.14837	+	2.44215i	0.106886	+	0.121502i
$405$	−1.22828	+	1.86851i	−0.0610336	+	0.0928470i
$406$	−1.76506	−	37.8619i	−0.0875986	−	1.87906i
$407$	1.15945	+	1.15945i	0.0574717	+	0.0574717i
$408$	20.6736	−	6.32343i	1.02349	−	0.313057i
$409$	16.0583	−	22.1024i	0.794033	−	1.09289i	−0.199561	−	0.979885i	$-0.563952\pi$
$409$	16.0583	−	22.1024i	0.794033	−	1.09289i	0.993594	−	0.113008i	$-0.0360485\pi$
$410$	10.5075	−	26.4713i	0.518929	−	1.30732i
$411$	4.89064	+	6.73140i	0.241238	+	0.332035i
$412$	1.46301	−	3.68354i	0.0720776	−	0.181475i
$413$	−4.44288	−	28.0512i	−0.218620	−	1.38031i
$414$	4.45457	+	11.8079i	0.218930	+	0.580328i
$415$	2.05880	+	9.95837i	0.101063	+	0.488837i
$416$	1.89861	+	0.792436i	0.0930872	+	0.0388524i
$417$	7.35152	+	3.74579i	0.360006	+	0.183432i
$418$	−1.96132	+	1.11731i	−0.0959311	+	0.0546496i
$419$	−1.49679	−	4.60666i	−0.0731232	−	0.225050i	0.907815	−	0.419371i	$-0.137749\pi$
$419$	−1.49679	−	4.60666i	−0.0731232	−	0.225050i	−0.980938	+	0.194322i	$0.937749\pi$
$420$	15.4107	+	8.18744i	0.751964	+	0.399506i
$421$	5.13224	−	15.7954i	0.250130	−	0.769821i	−0.744620	−	0.667489i	$-0.767369\pi$
$421$	5.13224	−	15.7954i	0.250130	−	0.769821i	0.994750	−	0.102333i	$-0.0326307\pi$
$422$	3.60677	+	17.4639i	0.175575	+	0.850128i
$423$	−0.156558	+	0.988467i	−0.00761210	+	0.0480609i
$424$	4.50981	+	4.66886i	0.219016	+	0.226740i
$425$	−24.3804	+	29.4307i	−1.18262	+	1.42760i
$426$	−3.31140	+	12.0788i	−0.160438	+	0.585221i
$427$	−17.4708	−	2.76710i	−0.845471	−	0.133909i
$428$	0.498837	−	7.79464i	0.0241122	−	0.376768i
$429$	−0.111551	−	0.0362451i	−0.00538573	−	0.00174993i
$430$	5.60020	+	3.31856i	0.270066	+	0.160035i
$431$	−6.07264	+	1.97312i	−0.292509	+	0.0950418i	−0.451596	−	0.892223i	$-0.649145\pi$
$431$	−6.07264	+	1.97312i	−0.292509	+	0.0950418i	0.159087	+	0.987265i	$0.449145\pi$
$432$	1.12425	−	3.83876i	0.0540903	−	0.184692i
$433$	−0.330445	+	0.648535i	−0.0158802	+	0.0311666i	−0.898810	−	0.438338i	$-0.855567\pi$
$433$	−0.330445	+	0.648535i	−0.0158802	+	0.0311666i	0.882930	+	0.469504i	$0.155567\pi$
$434$	−18.7256	−	23.3992i	−0.898857	−	1.12320i
$435$	10.3403	−	11.3562i	0.495778	−	0.544486i
$436$	−18.4247	+	1.72161i	−0.882385	+	0.0824500i
$437$	43.6217	−	6.90899i	2.08671	−	0.330502i
$438$	−2.03270	+	18.3214i	−0.0971263	+	0.875431i
$439$	−3.95205	+	2.87133i	−0.188621	+	0.137041i	−0.678088	−	0.734980i	$-0.737191\pi$
$439$	−3.95205	+	2.87133i	−0.188621	+	0.137041i	0.489467	+	0.872022i	$0.337191\pi$
$440$	−2.03880	+	0.0600871i	−0.0971961	+	0.00286454i
$441$	−6.65511	−	4.83522i	−0.316910	−	0.230248i
$442$	2.64740	−	2.90631i	0.125924	−	0.138239i
$443$	−10.1012	+	10.1012i	−0.479921	+	0.479921i	−0.905106	−	0.425185i	$-0.860209\pi$
$443$	−10.1012	+	10.1012i	−0.479921	+	0.479921i	0.425185	+	0.905106i	$0.360209\pi$
$444$	−2.22892	+	9.92135i	−0.105780	+	0.470846i
$445$	−2.44170	+	8.91360i	−0.115747	+	0.422545i
$446$	2.27678	−	3.46200i	0.107809	−	0.163931i
$447$	−13.9807	+	7.12352i	−0.661265	+	0.336931i
$448$	−30.6446	−	5.94858i	−1.44782	−	0.281044i
$449$		−	1.32766i		−	0.0626560i	−0.999509	−	0.0313280i	$-0.990026\pi$
$449$		−	1.32766i		−	0.0626560i	0.999509	−	0.0313280i	$-0.00997364\pi$
$450$	2.07100	+	6.76099i	0.0976281	+	0.318716i
$451$		−	2.90456i		−	0.136771i
$452$	15.7644	−	19.0142i	0.741497	−	0.894351i
$453$	−7.80222	+	3.97543i	−0.366580	+	0.186782i
$454$	−20.4500	−	13.4489i	−0.959766	−	0.631189i
$455$	3.16984	−	0.148422i	0.148605	−	0.00695812i
$456$	−12.3606	−	6.57022i	−0.578838	−	0.307679i
$457$	−25.8996	+	25.8996i	−1.21153	+	1.21153i	−0.241012	+	0.970522i	$0.577479\pi$
$457$	−25.8996	+	25.8996i	−1.21153	+	1.21153i	−0.970522	+	0.241012i	$0.922521\pi$
$458$	4.02669	+	3.66797i	0.188155	+	0.171393i
$459$	−6.18371	−	4.49273i	−0.288631	−	0.209702i
$460$	37.7387	+	12.9805i	1.75958	+	0.605217i
$461$	17.2942	−	12.5650i	0.805473	−	0.585210i	−0.107042	−	0.994255i	$-0.534138\pi$
$461$	17.2942	−	12.5650i	0.805473	−	0.585210i	0.912515	+	0.409044i	$0.134138\pi$
$462$	1.76883	+	0.196247i	0.0822936	+	0.00913022i
$463$	38.1896	−	6.04864i	1.77482	−	0.281104i	0.818732	−	0.574175i	$-0.194677\pi$
$463$	38.1896	−	6.04864i	1.77482	−	0.281104i	0.956091	+	0.293071i	$0.0946772\pi$
$464$	−11.7515	+	24.8340i	−0.545550	+	1.15289i
$465$	1.33663	−	12.0700i	0.0619849	−	0.559733i
$466$	22.9291	−	18.3494i	1.06217	−	0.850018i
$467$	11.0351	−	21.6575i	0.510642	−	1.00219i	−0.481425	−	0.876487i	$-0.659881\pi$
$467$	11.0351	−	21.6575i	0.510642	−	1.00219i	0.992068	−	0.125705i	$-0.0401192\pi$
$468$	−0.180133	−	0.704726i	−0.00832665	−	0.0325760i
$469$	8.04855	−	2.61513i	0.371647	−	0.120756i
$470$	2.09082	+	2.37576i	0.0964425	+	0.109586i
$471$	−5.23393	−	1.70061i	−0.241167	−	0.0783598i
$472$	−6.69981	+	19.4657i	−0.308384	+	0.895983i
$473$	0.655705	+	0.103853i	0.0301494	+	0.00477519i
$474$	−15.2451	−	4.17942i	−0.700230	−	0.191967i
$475$	24.6375	−	2.31227i	1.13044	−	0.106094i
$476$	−30.4201	+	51.3112i	−1.39430	+	2.35184i
$477$	0.359019	−	2.26676i	0.0164384	−	0.103788i
$478$	25.3961	−	5.24501i	1.16159	−	0.239901i
$479$	−4.52864	+	13.9377i	−0.206919	+	0.636831i	0.792710	+	0.609599i	$0.208669\pi$
$479$	−4.52864	+	13.9377i	−0.206919	+	0.636831i	−0.999629	+	0.0272324i	$0.991331\pi$
$480$	−7.07811	−	10.4833i	−0.323070	−	0.478497i
$481$	0.571411	+	1.75862i	0.0260541	+	0.0801862i
$482$	−3.04682	−	5.34833i	−0.138779	−	0.243610i
$483$	−31.0262	−	15.8086i	−1.41174	−	0.719317i
$484$	20.0090	−	8.63307i	0.909501	−	0.392412i
$485$	2.30339	−	5.09689i	0.104591	−	0.231438i
$486$	−1.32319	+	0.499176i	−0.0600210	+	0.0226431i
$487$	1.06090	+	6.69827i	0.0480741	+	0.303528i	0.999996	−	0.00281290i	$-0.000895374\pi$
$487$	1.06090	+	6.69827i	0.0480741	+	0.303528i	−0.951922	+	0.306341i	$0.900895\pi$
$488$	10.2408	+	7.71493i	0.463578	+	0.349238i
$489$	−9.25830	−	12.7430i	−0.418675	−	0.576257i
$490$	−25.2018	+	6.44724i	−1.13850	+	0.291257i
$491$	−14.5516	+	20.0286i	−0.656706	+	0.903879i	−0.999367	−	0.0355807i	$-0.988672\pi$
$491$	−14.5516	+	20.0286i	−0.656706	+	0.903879i	0.342661	+	0.939459i	$0.388672\pi$
$492$	15.2190	−	9.63525i	0.686124	−	0.434391i
$493$	37.1227	+	37.1227i	1.67192	+	1.67192i
$494$	−2.54277	+	0.118540i	−0.114405	+	0.00533336i
$495$	0.450698	+	0.562949i	0.0202574	+	0.0253027i
$496$	4.02454	+	21.3474i	0.180707	+	0.958527i
$497$	−15.6887	−	30.7909i	−0.703736	−	1.38116i
$498$	−2.64978	+	5.86019i	−0.118740	+	0.262601i
$499$	−28.7378			−1.28648			−0.643240	−	0.765665i	$-0.722410\pi$
$499$	−28.7378			−1.28648			−0.643240	+	0.765665i	$0.722410\pi$
$500$	20.6407	+	8.60009i	0.923080	+	0.384608i
$501$	2.76504			0.123533
$502$	−5.72555	+	12.6625i	−0.255544	+	0.565154i
$503$	3.95231	+	7.75685i	0.176225	+	0.345861i	0.962176	−	0.272427i	$-0.0878264\pi$
$503$	3.95231	+	7.75685i	0.176225	+	0.345861i	−0.785951	+	0.618288i	$0.787826\pi$
$504$	4.83945	+	9.91913i	0.215566	+	0.441833i
$505$	−2.27278	−	2.83884i	−0.101137	−	0.126327i
$506$	4.06564	−	0.189534i	0.180740	−	0.00842580i
$507$	9.09886	+	9.09886i	0.404094	+	0.404094i
$508$	1.06608	+	1.68388i	0.0472996	+	0.0747103i
$509$	19.9966	−	27.5229i	0.886332	−	1.21993i	−0.0882946	−	0.996094i	$-0.528142\pi$
$509$	19.9966	−	27.5229i	0.886332	−	1.21993i	0.974627	−	0.223837i	$-0.0718583\pi$
$510$	−23.4167	+	5.99057i	−1.03691	+	0.265267i
$511$	−29.8961	−	41.1484i	−1.32253	−	1.82030i
$512$	17.5903	+	14.2332i	0.777387	+	0.629023i
$513$	0.774217	+	4.88821i	0.0341825	+	0.215820i
$514$	5.12366	−	1.93291i	0.225995	−	0.0852571i
$515$	−1.82488	+	4.03806i	−0.0804139	+	0.177938i
$516$	1.63100	+	3.78019i	0.0718007	+	0.166414i
$517$	0.287579	+	0.146529i	0.0126477	+	0.00644432i
$518$	−13.8880	−	24.3788i	−0.610204	−	1.07114i
$519$	3.70612	+	11.4063i	0.162681	+	0.500680i
$520$	−2.07936	−	0.983435i	−0.0911858	−	0.0431265i
$521$	6.36698	−	19.5956i	0.278943	−	0.858497i	−0.709207	−	0.705001i	$-0.750947\pi$
$521$	6.36698	−	19.5956i	0.278943	−	0.858497i	0.988149	−	0.153496i	$-0.0490533\pi$
$522$	9.51281	−	1.96466i	0.416364	−	0.0859908i
$523$	−3.69045	+	23.3006i	−0.161372	+	1.01886i	0.765486	+	0.643453i	$0.222499\pi$
$523$	−3.69045	+	23.3006i	−0.161372	+	1.01886i	−0.926858	+	0.375412i	$0.877501\pi$
$524$	29.9597	+	17.7618i	1.30880	+	0.775926i
$525$	−16.7867	−	9.94283i	−0.732633	−	0.433941i
$526$	−33.0626	−	9.06407i	−1.44160	−	0.395212i
$527$	40.9996	+	6.49371i	1.78597	+	0.282870i
$528$	−1.06538	−	0.727393i	−0.0463646	−	0.0316557i
$529$	−53.8632	−	17.5012i	−2.34188	−	0.760922i
$530$	−4.79469	−	5.44810i	−0.208268	−	0.236650i
$531$	6.92218	−	2.24915i	0.300397	−	0.0976049i
$532$	37.4207	−	9.56501i	1.62239	−	0.414696i
$533$	1.48706	−	2.91851i	0.0644116	−	0.126415i
$534$	−4.56369	+	3.65217i	−0.197490	+	0.158045i
$535$	−0.961163	+	8.67944i	−0.0415547	+	0.375245i
$536$	−6.04119	−	1.06443i	−0.260940	−	0.0459763i
$537$	0.612373	−	0.0969904i	0.0264258	−	0.00418544i
$538$	14.4107	+	1.59882i	0.621289	+	0.0689300i
$539$	−2.14629	+	1.55937i	−0.0924473	+	0.0671669i
$540$	−1.45458	+	4.22897i	−0.0625952	+	0.181986i
$541$	−3.14541	−	2.28527i	−0.135232	−	0.0982515i	0.518113	−	0.855312i	$-0.326635\pi$
$541$	−3.14541	−	2.28527i	−0.135232	−	0.0982515i	−0.653345	+	0.757061i	$0.726635\pi$
$542$	−11.9111	−	10.8500i	−0.511626	−	0.466048i
$543$	0.865996	−	0.865996i	0.0371634	−	0.0371634i
$544$	36.9273	−	22.4923i	1.58324	−	0.964351i
$545$	20.6666	−	0.967672i	0.885259	−	0.0414505i
$546$	1.67686	+	1.10278i	0.0717628	+	0.0471948i
$547$	−39.6114	+	20.1830i	−1.69366	+	0.862963i	−0.705652	+	0.708558i	$0.749346\pi$
$547$	−39.6114	+	20.1830i	−1.69366	+	0.862963i	−0.988008	+	0.154405i	$0.950654\pi$
$548$	12.8106	+	10.6211i	0.547242	+	0.453713i
$549$		−	4.53312i		−	0.193469i
$550$	2.28011	+	0.0385770i	0.0972243	+	0.00164493i
$551$		−	33.9933i		−	1.44817i
$552$	14.4800	+	20.6739i	0.616308	+	0.879941i
$553$	38.8622	−	19.8013i	1.65259	−	0.842036i
$554$	18.5747	−	28.2440i	0.789163	−	1.19997i
$555$	3.00362	−	10.9649i	0.127496	−	0.465436i
$556$	16.1003	+	3.61708i	0.682805	+	0.153398i
$557$	−20.4214	+	20.4214i	−0.865283	+	0.865283i	−0.991946	−	0.126663i	$-0.959573\pi$
$557$	−20.4214	+	20.4214i	−0.865283	+	0.865283i	0.126663	+	0.991946i	$0.459573\pi$
$558$	5.17207	−	5.67788i	0.218951	−	0.240364i
$559$	0.605684	+	0.440055i	0.0256177	+	0.0186123i
$560$	33.9165	+	8.23206i	1.43323	+	0.347868i
$561$	−1.99426	+	1.44892i	−0.0841978	+	0.0611733i
$562$	2.49628	−	22.4998i	0.105299	−	0.949097i
$563$	5.17707	−	0.819967i	0.218187	−	0.0345575i	−0.0463836	−	0.998924i	$-0.514770\pi$
$563$	5.17707	−	0.819967i	0.218187	−	0.0345575i	0.264571	+	0.964366i	$0.414770\pi$
$564$	0.186216	+	1.99290i	0.00784111	+	0.0839161i
$565$	−18.5919	+	20.4184i	−0.782165	+	0.859010i
$566$	25.9229	+	32.3929i	1.08962	+	1.36157i
$567$	1.77150	−	3.47677i	0.0743962	−	0.146011i
$568$	−0.433968	+	25.0453i	−0.0182089	+	1.05088i
$569$	−18.5693	+	6.03353i	−0.778465	+	0.252939i	−0.671185	−	0.741290i	$-0.734214\pi$
$569$	−18.5693	+	6.03353i	−0.778465	+	0.252939i	−0.107280	+	0.994229i	$0.534214\pi$
$570$	13.4641	+	7.97856i	0.563950	+	0.334185i
$571$	34.6379	+	11.2545i	1.44955	+	0.470988i	0.924861	−	0.380304i	$-0.124181\pi$
$571$	34.6379	+	11.2545i	1.44955	+	0.470988i	0.524691	+	0.851293i	$0.324181\pi$
$572$	−0.234104	−	0.0149821i	−0.00978839	−	0.000626432i
$573$	1.56001	+	0.247081i	0.0651702	+	0.0103219i
$574$	−13.1404	+	47.9316i	−0.548469	+	2.00062i
$575$	−41.4749	−	16.4532i	−1.72962	−	0.686147i
$576$	0.277154	−	7.99520i	0.0115481	−	0.333133i
$577$	−0.186710	+	1.17884i	−0.00777283	+	0.0490757i	−0.991270	−	0.131848i	$-0.957909\pi$
$577$	−0.186710	+	1.17884i	−0.00777283	+	0.0490757i	0.983497	+	0.180924i	$0.0579088\pi$
$578$	−11.8485	−	57.3699i	−0.492832	−	2.38627i
$579$	5.15547	−	15.8669i	0.214254	−	0.659406i
$580$	14.4118	−	27.1263i	0.598416	−	1.12636i
$581$	−5.48365	−	16.8769i	−0.227500	−	0.700173i
$582$	3.07368	−	1.75100i	0.127408	−	0.0725814i
$583$	−0.659477	−	0.336020i	−0.0273127	−	0.0139165i
$584$	5.13565	+	36.5082i	0.212515	+	1.51072i
$585$	0.164648	+	0.796398i	0.00680735	+	0.0329270i
$586$	−5.45065	−	14.4483i	−0.225164	−	0.596853i
$587$	6.21808	+	39.2594i	0.256648	+	1.62041i	0.693210	+	0.720736i	$0.256196\pi$
$587$	6.21808	+	39.2594i	0.256648	+	1.62041i	−0.436562	+	0.899674i	$0.643804\pi$
$588$	−15.2904	−	6.07300i	−0.630567	−	0.250446i
$589$	−15.7986	−	21.7449i	−0.650969	−	0.895982i
$590$	8.49159	−	21.3927i	0.349593	−	0.880722i
$591$	9.09163	−	12.5136i	0.373980	−	0.514739i
$592$	0.594965	+	20.3286i	0.0244529	+	0.835499i
$593$	−32.4961	−	32.4961i	−1.33446	−	1.33446i	−0.901336	−	0.433121i	$-0.857412\pi$
$593$	−32.4961	−	32.4961i	−1.33446	−	1.33446i	−0.433121	−	0.901336i	$-0.642588\pi$
$594$	0.0212390	+	0.455593i	0.000871448	+	0.0186932i
$595$	36.6339	−	55.7291i	1.50184	−	2.28467i
$596$	−23.5622	+	20.7278i	−0.965146	+	0.849043i
$597$	−1.76328	−	3.46063i	−0.0721661	−	0.141634i
$598$	4.18220	+	1.89105i	0.171023	+	0.0773309i
$599$	1.39380			0.0569493			0.0284746	−	0.999595i	$-0.490935\pi$
$599$	1.39380			0.0569493			0.0284746	+	0.999595i	$0.490935\pi$
$600$	7.36164	+	12.0750i	0.300538	+	0.492961i
$601$	46.9085			1.91344			0.956718	−	0.291017i	$-0.0939936\pi$
$601$	46.9085			1.91344			0.956718	+	0.291017i	$0.0939936\pi$
$602$	−10.3507	−	4.68025i	−0.421863	−	0.190753i
$603$	0.984607	+	1.93240i	0.0400963	+	0.0786934i
$604$	−13.1494	+	11.5676i	−0.535041	+	0.470677i
$605$	−22.7942	+	8.60449i	−0.926716	+	0.349822i
$606$	−0.107104	−	2.29746i	−0.00435081	−	0.0933281i
$607$	16.0846	+	16.0846i	0.652852	+	0.652852i	0.953679	−	0.300827i	$-0.0972625\pi$
$607$	16.0846	+	16.0846i	0.652852	+	0.652852i	−0.300827	+	0.953679i	$0.597263\pi$
$608$	−27.2053	−	6.60904i	−1.10332	−	0.268032i
$609$	−15.7535	+	21.6829i	−0.638365	+	0.878634i
$610$	−11.0373	−	9.14712i	−0.446888	−	0.370356i
$611$	0.213941	+	0.294465i	0.00865513	+	0.0119128i
$612$	−14.2074	−	5.64283i	−0.574299	−	0.228098i
$613$	5.92897	+	37.4340i	0.239469	+	1.51195i	0.755370	+	0.655298i	$0.227457\pi$
$613$	5.92897	+	37.4340i	0.239469	+	1.51195i	−0.515901	+	0.856648i	$0.672543\pi$
$614$	1.61946	+	4.29276i	0.0653559	+	0.173242i
$615$	−17.4965	+	9.97205i	−0.705527	+	0.402112i
$616$	3.52467	−	0.495819i	0.142013	−	0.0199771i
$617$	−22.9501	−	11.6937i	−0.923936	−	0.470769i	−0.0737649	−	0.997276i	$-0.523501\pi$
$617$	−22.9501	−	11.6937i	−0.923936	−	0.470769i	−0.850171	+	0.526507i	$0.823501\pi$
$618$	−2.43516	+	1.38725i	−0.0979564	+	0.0558033i
$619$	0.977819	+	3.00942i	0.0393019	+	0.120959i	0.968783	−	0.247912i	$-0.0797444\pi$
$619$	0.977819	+	3.00942i	0.0393019	+	0.120959i	−0.929481	+	0.368871i	$0.879744\pi$
$620$	−3.38816	−	24.0501i	−0.136072	−	0.965874i
$621$	2.75762	−	8.48708i	0.110660	−	0.340575i
$622$	6.17849	+	29.9160i	0.247735	+	1.19952i
$623$	2.52294	−	15.9292i	0.101080	−	0.638191i
$624$	−0.698088	−	1.27633i	−0.0279459	−	0.0510941i
$625$	−22.6064	−	10.6748i	−0.904256	−	0.426992i
$626$	1.83974	−	6.71075i	0.0735309	−	0.268215i
$627$	1.57646	+	0.249687i	0.0629578	+	0.00997154i
$628$	−10.9841	−	0.702953i	−0.438313	−	0.0280509i
$629$	36.9599	+	12.0090i	1.47369	+	0.478830i
$630$	−4.89068	−	11.3289i	−0.194849	−	0.451352i
$631$	30.5823	−	9.93678i	1.21746	−	0.395577i	0.371304	−	0.928511i	$-0.378911\pi$
$631$	30.5823	−	9.93678i	1.21746	−	0.395577i	0.846157	+	0.532934i	$0.178911\pi$
$632$	−31.6105	−	0.547725i	−1.25740	−	0.0217873i
$633$	5.72456	−	11.2351i	0.227531	−	0.446555i
$634$	23.1544	+	28.9334i	0.919578	+	1.14909i
$635$	−1.10335	−	1.93588i	−0.0437849	−	0.0768229i
$636$	−0.427031	−	4.57012i	−0.0169329	−	0.181217i
$637$	−2.95495	+	0.468019i	−0.117079	+	0.0185436i
$638$	0.345438	−	3.11355i	0.0136760	−	0.123267i
$639$	7.16479	−	5.20553i	0.283435	−	0.205927i
$640$	−18.9076	−	16.8079i	−0.747387	−	0.664389i
$641$	−3.32274	−	2.41412i	−0.131241	−	0.0953518i	0.520228	−	0.854027i	$-0.325847\pi$
$641$	−3.32274	−	2.41412i	−0.131241	−	0.0953518i	−0.651469	+	0.758675i	$0.725847\pi$
$642$	−3.71920	+	4.08292i	−0.146785	+	0.161140i
$643$	−3.90717	+	3.90717i	−0.154084	+	0.154084i	−0.779939	−	0.625855i	$-0.784750\pi$
$643$	−3.90717	+	3.90717i	−0.154084	+	0.154084i	0.625855	+	0.779939i	$0.284750\pi$
$644$	−67.9493	−	15.2654i	−2.67758	−	0.601542i
$645$	−1.62560	−	4.30639i	−0.0640079	−	0.169564i
$646$	−29.3956	+	44.6980i	−1.15656	+	1.75862i
$647$	3.97759	−	2.02668i	0.156375	−	0.0796771i	−0.374052	−	0.927408i	$-0.622032\pi$
$647$	3.97759	−	2.02668i	0.156375	−	0.0796771i	0.530427	+	0.847731i	$0.322032\pi$
$648$	−2.31670	+	1.62261i	−0.0910088	+	0.0637423i
$649$		−	2.34731i		−	0.0921399i
$650$	2.27131	+	1.20612i	0.0890882	+	0.0473078i
$651$			21.1916i			0.830565i
$652$	−24.2513	−	20.1065i	−0.949754	−	0.787431i
$653$	18.5467	−	9.44999i	0.725787	−	0.369807i	−0.0517368	−	0.998661i	$-0.516476\pi$
$653$	18.5467	−	9.44999i	0.725787	−	0.369807i	0.777523	+	0.628854i	$0.216476\pi$
$654$	10.9327	+	7.18987i	0.427501	+	0.281146i
$655$	−32.5393	−	21.3899i	−1.27141	−	0.835773i
$656$	24.7176	−	26.2080i	0.965060	−	1.02325i
$657$	9.21691	−	9.21691i	0.359586	−	0.359586i
$658$	−4.08277	−	3.71906i	−0.159163	−	0.144984i
$659$	−29.6956	−	21.5751i	−1.15677	−	0.840446i	−0.167408	−	0.985888i	$-0.553540\pi$
$659$	−29.6956	−	21.5751i	−1.15677	−	0.840446i	−0.989367	+	0.145442i	$0.953540\pi$
$660$	1.15214	+	0.867601i	0.0448470	+	0.0337713i
$661$	−33.2569	+	24.1626i	−1.29354	+	0.939815i	−0.999871	−	0.0160906i	$-0.994878\pi$
$661$	−33.2569	+	24.1626i	−1.29354	+	0.939815i	−0.293674	+	0.955906i	$0.594878\pi$
$662$	−3.16416	−	0.351053i	−0.122978	−	0.0136441i
$663$	−2.74565	+	0.434867i	−0.106632	+	0.0168889i
$664$	−2.23199	+	12.6677i	−0.0866180	+	0.491602i
$665$	−42.2885	+	8.74275i	−1.63988	+	0.339029i
$666$	5.61396	−	4.49266i	0.217537	−	0.174087i
$667$	−27.8268	+	54.6131i	−1.07746	+	2.11463i
$668$	5.35781	−	1.36950i	0.207300	−	0.0529874i
$669$	−2.78655	+	0.905404i	−0.107734	+	0.0350049i
$670$	6.69181	+	1.50194i	0.258527	+	0.0580250i
$671$	−1.39039	−	0.451766i	−0.0536755	−	0.0174402i
$672$	14.2903	+	16.8234i	0.551259	+	0.648976i
$673$	37.3753	+	5.91966i	1.44071	+	0.228186i	0.827381	−	0.561641i	$-0.189830\pi$
$673$	37.3753	+	5.91966i	1.44071	+	0.228186i	0.613330	+	0.789827i	$0.289830\pi$
$674$	−7.31972	−	2.00669i	−0.281945	−	0.0772949i
$675$	1.84374	−	4.64765i	0.0709655	−	0.178888i
$676$	22.1374	+	13.1243i	0.851440	+	0.504781i
$677$	−1.70482	+	10.7638i	−0.0655215	+	0.413687i	0.933026	+	0.359809i	$0.117158\pi$
$677$	−1.70482	+	10.7638i	−0.0655215	+	0.413687i	−0.998548	+	0.0538777i	$0.982842\pi$
$678$	−17.1041	+	3.53247i	−0.656878	+	0.135664i
$679$	−3.01615	+	9.28275i	−0.115749	+	0.356239i
$680$	−42.4075	+	23.2060i	−1.62625	+	0.889909i
$681$	5.34821	+	16.4601i	0.204944	+	0.630752i
$682$	−1.22607	−	2.15222i	−0.0469485	−	0.0824127i
$683$	9.58062	+	4.88157i	0.366592	+	0.186788i	0.627576	−	0.778555i	$-0.284047\pi$
$683$	9.58062	+	4.88157i	0.366592	+	0.186788i	−0.260984	+	0.965343i	$0.584047\pi$
$684$	3.92129	+	9.08843i	0.149934	+	0.347505i
$685$	−13.7567	−	12.5261i	−0.525618	−	0.478597i
$686$	6.33089	−	2.38834i	0.241714	−	0.0911873i
$687$	−0.602509	−	3.80409i	−0.0229871	−	0.145135i
$688$	5.03268	+	6.51707i	0.191869	+	0.248461i
$689$	−0.490611	−	0.675268i	−0.0186908	−	0.0257256i
$690$	−15.1000	−	23.8399i	−0.574848	−	0.907569i
$691$	10.8307	−	14.9072i	0.412020	−	0.567097i	−0.551690	−	0.834049i	$-0.686017\pi$
$691$	10.8307	−	14.9072i	0.412020	−	0.567097i	0.963710	+	0.266953i	$0.0860168\pi$
$692$	12.8308	+	20.2663i	0.487753	+	0.770411i
$693$	−0.889844	−	0.889844i	−0.0338024	−	0.0338024i
$694$	−3.61567	+	0.168557i	−0.137249	+	0.00639832i
$695$	−17.7938	−	4.87425i	−0.674959	−	0.184891i
$696$	17.4599	−	8.51853i	0.661816	−	0.322894i
$697$	−31.2525	−	61.3366i	−1.18377	−	2.32329i
$698$	−8.24754	+	18.2400i	−0.312174	+	0.690396i
$699$	−20.7659			−0.785437
$700$	−37.4523	−	10.9519i	−1.41556	−	0.413944i
$701$	31.2659			1.18090			0.590448	−	0.807076i	$-0.298951\pi$
$701$	31.2659			1.18090			0.590448	+	0.807076i	$0.298951\pi$
$702$	−0.211910	+	0.468655i	−0.00799803	+	0.0176882i
$703$	−11.4238	−	22.4204i	−0.430856	−	0.845602i
$704$	−2.42465	−	0.881801i	−0.0913826	−	0.0332341i
$705$	−0.104667	−	2.23538i	−0.00394200	−	0.0841894i
$706$	−13.6511	+	0.636391i	−0.513765	+	0.0239509i
$707$	4.48730	+	4.48730i	0.168762	+	0.168762i
$708$	12.2991	−	7.78668i	0.462230	−	0.292641i
$709$	−0.510077	+	0.702061i	−0.0191563	+	0.0263665i	−0.818488	−	0.574524i	$-0.805187\pi$
$709$	−0.510077	+	0.702061i	−0.0191563	+	0.0263665i	0.799331	+	0.600890i	$0.205187\pi$
$710$	1.78293	−	27.9489i	0.0669120	−	1.04890i
$711$	6.57007	+	9.04292i	0.246397	+	0.339136i
$712$	−7.03419	+	9.33717i	−0.263618	+	0.349925i
$713$	7.58147	+	47.8675i	0.283928	+	1.79265i
$714$	39.4646	−	14.8881i	1.47693	−	0.557174i
$715$	0.260678	+	0.0288676i	0.00974882	+	0.00107959i
$716$	1.13856	−	0.491241i	0.0425499	−	0.0183585i
$717$	−16.3382	−	8.32472i	−0.610160	−	0.310892i
$718$	−11.0192	−	19.3430i	−0.411233	−	0.721873i
$719$	−10.9066	−	33.5672i	−0.406749	−	1.25184i	−0.919426	−	0.393263i	$-0.871346\pi$
$719$	−10.9066	−	33.5672i	−0.406749	−	1.25184i	0.512678	−	0.858581i	$-0.328654\pi$
$720$	−0.723977	+	8.91492i	−0.0269810	+	0.332240i
$721$	2.38957	−	7.35435i	0.0889924	−	0.273890i
$722$	7.60914	−	1.57150i	0.283183	−	0.0584851i
$723$	−0.680874	+	4.29887i	−0.0253220	+	0.159877i
$724$	1.24912	−	2.10696i	0.0464233	−	0.0783046i
$725$	−17.5016	+	29.5484i	−0.649995	+	1.09740i
$726$	−14.8609	−	4.07410i	−0.551541	−	0.151204i
$727$	−12.0688	−	1.91151i	−0.447606	−	0.0708939i	−0.0714377	−	0.997445i	$-0.522759\pi$
$727$	−12.0688	−	1.91151i	−0.447606	−	0.0708939i	−0.376169	+	0.926551i	$0.622759\pi$
$728$	3.79544	+	1.30633i	0.140669	+	0.0484160i
$729$	0.951057	+	0.309017i	0.0352243	+	0.0114451i
$730$	−3.84320	−	41.0397i	−0.142243	−	1.51895i
$731$	14.9642	−	4.86215i	0.553470	−	0.179833i
$732$	−2.24521	−	8.78384i	−0.0829855	−	0.324660i
$733$	−10.7166	+	21.0325i	−0.395827	+	0.776855i	−0.999797	−	0.0201526i	$-0.993585\pi$
$733$	−10.7166	+	21.0325i	−0.395827	+	0.776855i	0.603970	+	0.797007i	$0.293585\pi$
$734$	−6.24569	+	4.99822i	−0.230533	+	0.184488i
$735$	16.7621	+	7.57512i	0.618278	+	0.279412i
$736$	38.2975	+	32.8881i	1.41166	+	1.21227i
$737$	0.690827	−	0.109416i	0.0254469	−	0.00403040i
$738$	−12.6592	−	1.40450i	−0.465991	−	0.0517002i
$739$	8.20279	−	5.95967i	0.301744	−	0.219230i	−0.426602	−	0.904440i	$-0.640289\pi$
$739$	8.20279	−	5.95967i	0.301744	−	0.219230i	0.728346	+	0.685209i	$0.240289\pi$
$740$	0.389284	−	22.7344i	0.0143104	−	0.835734i
$741$	1.45620	+	1.05799i	0.0534948	+	0.0388663i
$742$	9.36262	+	8.52856i	0.343712	+	0.313093i
$743$	−29.3014	+	29.3014i	−1.07496	+	1.07496i	−0.0780122	+	0.996952i	$0.524857\pi$
$743$	−29.3014	+	29.3014i	−1.07496	+	1.07496i	−0.996952	+	0.0780122i	$0.975143\pi$
$744$	7.20973	−	13.5637i	0.264321	−	0.497270i
$745$	27.3895	−	21.9281i	1.00347	−	0.803382i
$746$	43.7560	+	28.7761i	1.60202	+	1.05357i
$747$	4.05203	−	2.06461i	0.148256	−	0.0755402i
$748$	−3.14665	+	3.79531i	−0.115053	+	0.138770i
$749$		−	15.2387i		−	0.556811i
$750$	−7.59579	−	13.8674i	−0.277359	−	0.506365i
$751$		−	19.3537i		−	0.706226i	−0.935581	−	0.353113i	$-0.885123\pi$
$751$		−	19.3537i		−	0.706226i	0.935581	−	0.353113i	$-0.114877\pi$
$752$	1.34789	+	3.76941i	0.0491526	+	0.137456i
$753$	8.75547	−	4.46114i	0.319067	−	0.162573i
$754$	1.94115	−	2.95165i	0.0706925	−	0.107493i
$755$	15.2853	−	12.2374i	0.556288	−	0.445365i
$756$	1.71063	−	7.61435i	0.0622151	−	0.276931i
$757$	25.7334	−	25.7334i	0.935297	−	0.935297i	−0.0627330	−	0.998030i	$-0.519982\pi$
$757$	25.7334	−	25.7334i	0.935297	−	0.935297i	0.998030	+	0.0627330i	$0.0199816\pi$
$758$	−21.7690	+	23.8979i	−0.790685	+	0.868010i
$759$	−2.32832	−	1.69163i	−0.0845128	−	0.0614021i
$760$	30.0412	+	8.79142i	1.08971	+	0.318898i
$761$	−0.0820705	+	0.0596277i	−0.00297505	+	0.00216150i	−0.589272	−	0.807935i	$-0.700585\pi$
$761$	−0.0820705	+	0.0596277i	−0.00297505	+	0.00216150i	0.586297	+	0.810096i	$0.300585\pi$
$762$	0.155399	−	1.40066i	0.00562950	−	0.0507405i
$763$	−35.6594	+	5.64790i	−1.29096	+	0.204468i
$764$	3.14520	−	0.293888i	0.113790	−	0.0106325i
$765$	15.5747	+	7.03855i	0.563106	+	0.254479i
$766$	−28.7002	−	35.8633i	−1.03698	−	1.29579i
$767$	1.20176	−	2.35858i	0.0433929	−	0.0851634i
$768$	−3.42290	−	15.6296i	−0.123513	−	0.563984i
$769$	6.32553	−	2.05529i	0.228104	−	0.0741156i	−0.192735	−	0.981251i	$-0.561736\pi$
$769$	6.32553	−	2.05529i	0.228104	−	0.0741156i	0.420839	+	0.907135i	$0.361736\pi$
$770$	−3.96217	+	0.371040i	−0.142787	+	0.0133714i
$771$	−3.68269	−	1.19658i	−0.132629	−	0.0430937i
$772$	2.13104	−	33.2988i	0.0766977	−	1.19845i
$773$	31.1382	+	4.93181i	1.11996	+	0.177385i	0.688843	−	0.724910i	$-0.258119\pi$
$773$	31.1382	+	4.93181i	1.11996	+	0.177385i	0.431120	+	0.902295i	$0.358119\pi$
$774$	0.769698	−	2.80759i	0.0276662	−	0.100917i
$775$	2.53733	+	27.0355i	0.0911436	+	0.971144i
$776$	5.08863	−	4.91528i	0.182671	−	0.176448i
$777$	−3.10356	+	19.5951i	−0.111340	+	0.702971i
$778$	6.36757	+	30.8316i	0.228289	+	1.10537i
$779$	−13.7740	+	42.3920i	−0.493505	+	1.51885i
$780$	0.713486	+	1.46163i	0.0255469	+	0.0523348i
$781$	−0.882596	−	2.71635i	−0.0315818	−	0.0971987i
$782$	83.8161	−	47.7480i	2.99726	−	1.70746i
$783$	−6.11991	−	3.11825i	−0.218708	−	0.111437i
$784$	−32.6362	−	4.19445i	−1.16558	−	0.149802i
$785$	12.2309	+	1.35446i	0.436541	+	0.0483426i
$786$	−8.69291	−	23.0427i	−0.310066	−	0.821906i
$787$	−6.82644	−	43.1005i	−0.243336	−	1.53637i	−0.742493	−	0.669854i	$-0.766357\pi$
$787$	−6.82644	−	43.1005i	−0.243336	−	1.53637i	0.499156	−	0.866512i	$-0.333643\pi$
$788$	11.4190	−	28.7505i	0.406786	−	1.02420i
$789$	14.2488	+	19.6117i	0.507269	+	0.698196i
$790$	35.2752	+	2.25029i	1.25503	+	0.0800617i
$791$	28.3249	−	38.9859i	1.00712	−	1.38618i
$792$	0.266806	+	0.872284i	0.00948053	+	0.0309953i
$793$	−1.16578	−	1.16578i	−0.0413980	−	0.0413980i
$794$	1.48720	+	31.9015i	0.0527786	+	1.13214i
$795$	0.240024	+	5.12619i	0.00851276	+	0.181807i
$796$	−5.13072	−	5.83233i	−0.181854	−	0.206721i
$797$	4.98304	+	9.77977i	0.176508	+	0.346417i	0.962263	−	0.272121i	$-0.0877252\pi$
$797$	4.98304	+	9.77977i	0.176508	+	0.346417i	−0.785755	+	0.618538i	$0.787725\pi$
$798$	−24.8854	−	11.2524i	−0.880935	−	0.398329i
$799$	7.64951			0.270620
$800$	20.2453	+	19.7516i	0.715780	+	0.698326i
$801$	4.13314			0.146037
$802$	−8.14975	−	3.68505i	−0.287778	−	0.130124i
$803$	−1.90845	−	3.74554i	−0.0673477	−	0.132177i
$804$	2.86497	+	3.25675i	0.101040	+	0.114857i
$805$	75.0967	+	20.5712i	2.64681	+	0.725038i
$806$	−0.130078	−	2.79027i	−0.00458180	−	0.0982830i
$807$	−7.24955	−	7.24955i	−0.255196	−	0.255196i
$808$	−1.34545	−	4.39875i	−0.0473327	−	0.154748i
$809$	−25.7779	+	35.4802i	−0.906301	+	1.24742i	0.0621125	+	0.998069i	$0.480216\pi$
$809$	−25.7779	+	35.4802i	−0.906301	+	1.24742i	−0.968414	+	0.249348i	$0.919784\pi$
$810$	2.67148	−	1.69210i	0.0938662	−	0.0594543i
$811$	24.5130	+	33.7392i	0.860766	+	1.18474i	0.981386	+	0.192044i	$0.0615117\pi$
$811$	24.5130	+	33.7392i	0.860766	+	1.18474i	−0.120620	+	0.992699i	$0.538488\pi$
$812$	−19.7863	+	49.8175i	−0.694364	+	1.74825i
$813$	1.78225	+	11.2527i	0.0625061	+	0.394648i
$814$	−0.818502	−	2.16964i	−0.0286885	−	0.0760458i
$815$	26.0424	+	23.7127i	0.912224	+	0.830619i
$816$	−30.3245	−	3.89734i	−1.06157	−	0.136434i
$817$	−9.07750	−	4.62522i	−0.317581	−	0.161816i
$818$	−33.5711	+	19.1246i	−1.17379	+	0.668677i
$819$	−0.438542	−	1.34969i	−0.0153239	−	0.0471621i
$820$	−28.9639	+	27.9887i	−1.01146	+	0.977408i
$821$	13.9720	−	43.0015i	0.487627	−	1.50076i	−0.340513	−	0.940240i	$-0.610601\pi$
$821$	13.9720	−	43.0015i	0.487627	−	1.50076i	0.828140	−	0.560521i	$-0.189399\pi$
$822$	−2.37997	−	11.5237i	−0.0830109	−	0.401936i
$823$	4.37908	−	27.6484i	0.152645	−	0.963764i	−0.785836	−	0.618434i	$-0.787767\pi$
$823$	4.37908	−	27.6484i	0.152645	−	0.963764i	0.938482	−	0.345329i	$-0.112233\pi$
$824$	−4.03152	+	3.89418i	−0.140445	+	0.135660i
$825$	−1.24177	−	1.02869i	−0.0432330	−	0.0358143i
$826$	−10.6193	+	38.7356i	−0.369494	+	1.34779i
$827$	−1.80766	−	0.286305i	−0.0628585	−	0.00995581i	0.124926	−	0.992166i	$-0.460131\pi$
$827$	−1.80766	−	0.286305i	−0.0628585	−	0.00995581i	−0.187785	+	0.982210i	$0.560131\pi$
$828$	1.13988	−	17.8113i	0.0396134	−	0.618984i
$829$	−22.3135	−	7.25010i	−0.774980	−	0.251806i	−0.105285	−	0.994442i	$-0.533575\pi$
$829$	−22.3135	−	7.25010i	−0.774980	−	0.251806i	−0.669695	+	0.742636i	$0.733575\pi$
$830$	3.14941	−	14.0320i	0.109317	−	0.487058i
$831$	−22.7335	+	7.38656i	−0.788616	+	0.256237i
$832$	−1.98484	−	2.12739i	−0.0688119	−	0.0737540i
$833$	−28.5453	+	56.0234i	−0.989037	+	1.94110i
$834$	−7.29067	−	9.11031i	−0.252455	−	0.315464i
$835$	−6.05477	+	1.25177i	−0.209534	+	0.0433192i
$836$	3.17838	−	0.296987i	0.109927	−	0.0102715i
$837$	−5.36400	+	0.849574i	−0.185407	+	0.0293656i
$838$	−0.755358	+	6.80829i	−0.0260934	+	0.235188i
$839$	−16.3104	+	11.8502i	−0.563099	+	0.409116i	−0.832592	−	0.553887i	$-0.813144\pi$
$839$	−16.3104	+	11.8502i	−0.563099	+	0.409116i	0.269493	+	0.963002i	$0.413144\pi$
$840$	−15.0877	−	19.5296i	−0.520577	−	0.673836i
$841$	14.7053	+	10.6840i	0.507078	+	0.368414i
$842$	−15.8169	+	17.3637i	−0.545085	+	0.598392i
$843$	−11.3189	+	11.3189i	−0.389845	+	0.389845i
$844$	5.52786	−	24.6056i	0.190277	−	0.846959i
$845$	−24.0435	−	15.8052i	−0.827121	−	0.543714i
$846$	0.777685	−	1.18252i	0.0267374	−	0.0406560i
$847$	37.8829	−	19.3023i	1.30167	−	0.663234i
$848$	−3.09099	−	8.64402i	−0.106145	−	0.296837i
$849$		−	29.3368i		−	1.00684i
$850$	48.5649	−	23.7189i	1.66576	−	0.813553i
$851$			45.3717i			1.55532i
$852$	11.3050	−	13.6354i	0.387302	−	0.467142i
$853$	−44.0432	+	22.4411i	−1.50801	+	0.768369i	−0.995892	−	0.0905468i	$-0.971139\pi$
$853$	−44.0432	+	22.4411i	−1.50801	+	0.768369i	−0.512117	+	0.858916i	$0.671139\pi$
$854$	20.9007	+	13.7453i	0.715206	+	0.470355i
$855$	−3.90830	−	10.3535i	−0.133661	−	0.354083i
$856$	−5.18446	+	9.75356i	−0.177201	+	0.333370i
$857$	−31.2131	+	31.2131i	−1.06622	+	1.06622i	−0.0685727	+	0.997646i	$0.521844\pi$
$857$	−31.2131	+	31.2131i	−1.06622	+	1.06622i	−0.997646	+	0.0685727i	$0.978156\pi$
$858$	0.122626	+	0.111702i	0.00418639	+	0.00381345i
$859$	−9.05606	−	6.57961i	−0.308989	−	0.224493i	0.422474	−	0.906375i	$-0.361162\pi$
$859$	−9.05606	−	6.57961i	−0.308989	−	0.224493i	−0.731462	+	0.681882i	$0.761162\pi$
$860$	−5.28284	−	7.53935i	−0.180143	−	0.257090i
$861$	28.4315	−	20.6567i	0.968944	−	0.703979i
$862$	8.97490	+	0.995737i	0.305686	+	0.0339149i
$863$	−9.69650	+	1.53577i	−0.330073	+	0.0522784i	−0.319271	−	0.947663i	$-0.603438\pi$
$863$	−9.69650	+	1.53577i	−0.330073	+	0.0522784i	−0.0108012	+	0.999942i	$0.503438\pi$
$864$	−3.68542	+	4.29159i	−0.125380	+	0.146003i
$865$	−13.2793	−	23.2992i	−0.451509	−	0.792197i
$866$	0.803692	−	0.643167i	0.0273106	−	0.0218557i
$867$	−18.8056	+	36.9080i	−0.638670	+	1.25346i
$868$	10.4960	+	41.0630i	0.356258	+	1.39377i
$869$	3.42840	−	1.11395i	0.116300	−	0.0377883i
$870$	−19.9413	+	8.60870i	−0.676075	+	0.291862i
$871$	0.750163	+	0.243743i	0.0254183	+	0.00825891i
$872$	24.7453	+	8.51697i	0.837983	+	0.288421i
$873$	−2.47056	−	0.391298i	−0.0836157	−	0.0132434i
$874$	−60.2367	−	16.5138i	−2.03754	−	0.558588i
$875$	41.2602	+	14.1729i	1.39485	+	0.479130i
$876$	13.2946	−	22.4247i	0.449182	−	0.757660i
$877$	−3.23475	+	20.4234i	−0.109230	+	0.689649i	0.870925	+	0.491416i	$0.163520\pi$
$877$	−3.23475	+	20.4234i	−0.109230	+	0.689649i	−0.980155	+	0.198234i	$0.936480\pi$
$878$	6.76566	−	1.39730i	0.228330	−	0.0471564i
$879$	−3.37425	+	10.3849i	−0.113811	+	0.350273i
$880$	2.66222	+	1.11051i	0.0897434	+	0.0374352i
$881$	5.71719	+	17.5957i	0.192617	+	0.592814i	0.999996	+	0.00278126i	$0.000885305\pi$
$881$	5.71719	+	17.5957i	0.192617	+	0.592814i	−0.807379	+	0.590033i	$0.799115\pi$
$882$	5.75849	+	10.1084i	0.193899	+	0.340367i
$883$	36.1247	+	18.4064i	1.21569	+	0.619426i	0.939787	−	0.341759i	$-0.111023\pi$
$883$	36.1247	+	18.4064i	1.21569	+	0.619426i	0.275904	+	0.961185i	$0.411023\pi$
$884$	−5.10486	+	2.20253i	−0.171695	+	0.0740793i
$885$	−14.1397	+	8.05886i	−0.475301	+	0.270896i
$886$	18.9020	−	7.13083i	0.635026	−	0.239565i
$887$	−1.89648	−	11.9739i	−0.0636775	−	0.402044i	−0.998854	−	0.0478619i	$-0.984759\pi$
$887$	−1.89648	−	11.9739i	−0.0636775	−	0.402044i	0.935176	−	0.354182i	$-0.115241\pi$
$888$	8.65301	−	11.4860i	0.290376	−	0.385444i
$889$	2.28554	+	3.14577i	0.0766544	+	0.105506i
$890$	8.34001	−	10.0634i	0.279558	−	0.337327i
$891$	0.189562	−	0.260910i	0.00635058	−	0.00874082i
$892$	−4.95106	+	3.13455i	−0.165774	+	0.104953i
$893$	−3.50233	−	3.50233i	−0.117201	−	0.117201i
$894$	22.1662	−	1.03335i	0.741350	−	0.0345605i
$895$	−1.29704	+	0.489615i	−0.0433553	+	0.0163660i
$896$	36.0227	+	25.5208i	1.20343	+	0.852592i
$897$	−1.47344	−	2.89179i	−0.0491967	−	0.0965540i
$898$	−0.773577	+	1.71082i	−0.0258146	+	0.0570909i
$899$	37.3021			1.24409
$900$	1.27068	−	9.91894i	0.0423559	−	0.330631i
$901$	−17.5419			−0.584405
$902$	−1.69239	+	3.74283i	−0.0563503	+	0.124623i
$903$	3.64668	+	7.15700i	0.121354	+	0.238170i
$904$	−31.3930	+	15.3164i	−1.04412	+	0.509414i
$905$	−1.50428	+	2.28837i	−0.0500038	+	0.0760680i
$906$	12.3703	−	0.576685i	0.410976	−	0.0191591i
$907$	25.9154	+	25.9154i	0.860508	+	0.860508i	0.991397	−	0.130889i	$-0.0417832\pi$
$907$	25.9154	+	25.9154i	0.860508	+	0.860508i	−0.130889	+	0.991397i	$0.541783\pi$
$908$	18.5158	+	29.2458i	0.614467	+	0.970557i
$909$	−0.955925	+	1.31572i	−0.0317060	+	0.0436396i
$910$	−4.17116	−	1.65570i	−0.138273	−	0.0548858i
$911$	4.72152	+	6.49861i	0.156431	+	0.215309i	0.880038	−	0.474904i	$-0.157517\pi$
$911$	4.72152	+	6.49861i	0.156431	+	0.215309i	−0.723607	+	0.690212i	$0.757517\pi$
$912$	12.0997	+	15.6685i	0.400661	+	0.518836i
$913$	−0.229434	−	1.44859i	−0.00759316	−	0.0479413i
$914$	48.4652	−	18.2836i	1.60309	−	0.604768i
$915$	2.05220	+	9.92646i	0.0678437	+	0.328159i
$916$	−3.05161	−	7.07278i	−0.100828	−	0.233691i
$917$	60.5464	+	30.8499i	1.99942	+	1.01875i
$918$	5.35060	+	9.39237i	0.176596	+	0.309994i
$919$	−5.07949	−	15.6331i	−0.167557	−	0.515687i	0.831659	−	0.555287i	$-0.187392\pi$
$919$	−5.07949	−	15.6331i	−0.167557	−	0.515687i	−0.999216	+	0.0396000i	$0.987392\pi$
$920$	−41.0670	−	38.7157i	−1.35394	−	1.27642i
$921$	1.00253	−	3.08548i	0.0330345	−	0.101670i
$922$	−29.6066	+	6.11459i	−0.975042	+	0.201373i
$923$	0.503862	−	3.18126i	0.0165848	−	0.104712i
$924$	−2.16498	−	1.28352i	−0.0712227	−	0.0422247i
$925$	−1.61324	+	25.3704i	−0.0530429	+	0.834172i
$926$	−52.7357	−	14.4574i	−1.73300	−	0.475100i
$927$	1.95732	+	0.310010i	0.0642870	+	0.0101821i
$928$	29.6130	−	25.1541i	0.972093	−	0.825723i
$929$	16.6330	+	5.40439i	0.545711	+	0.177312i	0.568882	−	0.822419i	$-0.307376\pi$
$929$	16.6330	+	5.40439i	0.545711	+	0.177312i	−0.0231709	+	0.999732i	$0.507376\pi$
$930$	−8.75515	+	14.7747i	−0.287093	+	0.484480i
$931$	38.7199	−	12.5808i	1.26899	−	0.412320i
$932$	−40.2380	+	10.2851i	−1.31804	+	0.336901i
$933$	9.80631	−	19.2460i	0.321044	−	0.630084i
$934$	−26.8389	+	21.4783i	−0.878196	+	0.702791i
$935$	3.71101	−	4.07561i	0.121363	−	0.133287i
$936$	−0.178498	+	1.01307i	−0.00583440	+	0.0331132i
$937$	43.7402	−	6.92777i	1.42893	−	0.226320i	0.606453	−	0.795119i	$-0.292592\pi$
$937$	43.7402	−	6.92777i	1.42893	−	0.226320i	0.822477	+	0.568799i	$0.192592\pi$
$938$	−11.8951	−	1.31973i	−0.388390	−	0.0430907i
$939$	−3.98061	+	2.89208i	−0.129902	+	0.0943795i
$940$	−1.30998	−	4.27966i	−0.0427267	−	0.139587i
$941$	1.57111	+	1.14148i	0.0512169	+	0.0372112i	0.613099	−	0.790006i	$-0.289923\pi$
$941$	1.57111	+	1.14148i	0.0512169	+	0.0372112i	−0.561882	+	0.827217i	$0.689923\pi$
$942$	5.75358	+	5.24103i	0.187462	+	0.170762i
$943$	56.8309	−	56.8309i	1.85067	−	1.85067i
$944$	19.9754	−	21.1799i	0.650144	−	0.689347i
$945$	−2.30519	+	8.41528i	−0.0749879	+	0.273749i
$946$	−0.784433	−	0.515882i	−0.0255041	−	0.0167728i
$947$	−24.4028	+	12.4338i	−0.792984	+	0.404045i	−0.803056	−	0.595904i	$-0.796794\pi$
$947$	−24.4028	+	12.4338i	−0.792984	+	0.404045i	0.0100722	+	0.999949i	$0.496794\pi$
$948$	17.2097	+	14.2684i	0.558945	+	0.463416i
$949$		−	4.74061i		−	0.153887i
$950$	−33.0952	−	11.3758i	−1.07375	−	0.369078i
$951$		−	26.2037i		−	0.849712i
$952$	69.0967	−	48.3952i	2.23944	−	1.56850i
$953$	19.9787	−	10.1797i	0.647174	−	0.329752i	−0.0994061	−	0.995047i	$-0.531694\pi$
$953$	19.9787	−	10.1797i	0.647174	−	0.329752i	0.746580	+	0.665295i	$0.231694\pi$
$954$	−1.78339	+	2.71177i	−0.0577394	+	0.0877967i
$955$	−3.52790	+	0.165187i	−0.114160	+	0.00534532i
$956$	−35.7817	−	8.03867i	−1.15726	−	0.259989i
$957$	−1.56633	+	1.56633i	−0.0506322	+	0.0506322i
$958$	13.9566	−	15.3216i	0.450919	−	0.495017i
$959$	26.2664	+	19.0836i	0.848186	+	0.616243i
$960$	3.01262	+	17.6330i	0.0972320	+	0.569104i
$961$	−1.21814	+	0.885034i	−0.0392950	+	0.0285495i
$962$	0.288363	−	2.59911i	0.00929719	−	0.0837986i
$963$	3.85721	−	0.610923i	0.124297	−	0.0196867i
$964$	0.809858	+	8.66716i	0.0260838	+	0.279150i
$965$	−4.10610	+	37.0787i	−0.132180	+	1.19360i
$966$	30.7694	+	38.4489i	0.989988	+	1.23707i
$967$	12.4805	−	24.4943i	0.401345	−	0.787684i	−0.598565	−	0.801074i	$-0.704262\pi$
$967$	12.4805	−	24.4943i	0.401345	−	0.787684i	0.999910	+	0.0133900i	$0.00426231\pi$
$968$	−30.8139	−	0.533923i	−0.990396	−	0.0171609i
$969$	35.9772	−	11.6897i	1.15575	−	0.375527i
$970$	−5.93793	+	5.22577i	−0.190655	+	0.167789i
$971$	−25.4134	−	8.25731i	−0.815555	−	0.264990i	−0.128606	−	0.991696i	$-0.541050\pi$
$971$	−25.4134	−	8.25731i	−0.815555	−	0.264990i	−0.686949	+	0.726706i	$0.741050\pi$
$972$	1.99592	+	0.127734i	0.0640191	+	0.00409706i
$973$	31.7989	+	5.03644i	1.01942	+	0.161461i
$974$	2.53576	−	9.24957i	0.0812510	−	0.296375i
$975$	−0.721078	−	1.66938i	−0.0230930	−	0.0534630i
$976$	−8.70110	−	15.9084i	−0.278516	−	0.509216i
$977$	0.0626759	−	0.395720i	0.00200518	−	0.0126602i	−0.986665	−	0.162761i	$-0.947960\pi$
$977$	0.0626759	−	0.395720i	0.00200518	−	0.0126602i	0.988671	+	0.150101i	$0.0479599\pi$
$978$	4.50543	+	21.8151i	0.144068	+	0.697571i
$979$	0.411904	−	1.26771i	0.0131645	−	0.0405162i
$980$	36.2317	+	6.37624i	1.15738	+	0.203681i
$981$	−2.85918	−	8.79965i	−0.0912866	−	0.280951i
$982$	30.4213	−	17.3302i	0.970782	−	0.553030i
$983$	24.7635	+	12.6176i	0.789831	+	0.402439i	0.801878	−	0.597488i	$-0.203835\pi$
$983$	24.7635	+	12.6176i	0.789831	+	0.402439i	−0.0120463	+	0.999927i	$0.503835\pi$
$984$	−25.2254	+	3.54848i	−0.804155	+	0.113121i
$985$	−14.2434	+	31.5176i	−0.453834	+	1.00423i
$986$	−26.2065	−	69.4666i	−0.834584	−	2.21227i
$987$	0.610900	+	3.85707i	0.0194452	+	0.122772i
$988$	3.34569	+	1.32883i	0.106441	+	0.0422757i
$989$	10.7976	+	14.8616i	0.343343	+	0.472571i
$990$	−0.252761	−	0.988025i	−0.00803327	−	0.0314015i
$991$	−12.1427	+	16.7130i	−0.385725	+	0.530906i	−0.957090	−	0.289791i	$-0.906414\pi$
$991$	−12.1427	+	16.7130i	−0.385725	+	0.530906i	0.571365	+	0.820696i	$0.306414\pi$
$992$	7.25233	−	29.8533i	0.230262	−	0.947844i
$993$	1.59179	+	1.59179i	0.0505138	+	0.0505138i
$994$	2.27584	+	48.8185i	0.0721853	+	1.54843i
$995$	5.42782	+	6.77968i	0.172074	+	0.214930i
$996$	6.82904	−	6.00753i	0.216386	−	0.190356i
$997$	−15.2479	−	29.9257i	−0.482906	−	0.947757i	−0.995994	−	0.0894207i	$-0.971498\pi$
$997$	−15.2479	−	29.9257i	−0.482906	−	0.947757i	0.513088	−	0.858336i	$-0.328502\pi$
$998$	37.0317	+	16.7445i	1.17222	+	0.530037i
$999$	−5.08432			−0.160861

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	300.2.w.a.223.5	yes	240
3.2	odd	2		900.2.bj.f.523.26		240
4.3	odd	2	inner	300.2.w.a.223.29	yes	240
12.11	even	2		900.2.bj.f.523.2		240
25.12	odd	20	inner	300.2.w.a.187.29	yes	240
75.62	even	20		900.2.bj.f.487.2		240
100.87	even	20	inner	300.2.w.a.187.5	✓	240
300.287	odd	20		900.2.bj.f.487.26		240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
300.2.w.a.187.5	✓	240	100.87	even	20	inner
300.2.w.a.187.29	yes	240	25.12	odd	20	inner
300.2.w.a.223.5	yes	240	1.1	even	1	trivial
300.2.w.a.223.29	yes	240	4.3	odd	2	inner
900.2.bj.f.487.2		240	75.62	even	20
900.2.bj.f.487.26		240	300.287	odd	20
900.2.bj.f.523.2		240	12.11	even	2
900.2.bj.f.523.26		240	3.2	odd	2

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:	\( N \)	\(=\)	\( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	300.w (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.28860 - 0.582664i) q^{2} +(0.453990 + 0.891007i) q^{3} +(1.32101 + 1.50165i) q^{4} +(-1.39750 - 1.74556i) q^{5} +(-0.0658569 - 1.41268i) q^{6} +(2.75918 + 2.75918i) q^{7} +(-0.827297 - 2.70473i) q^{8} +(-0.587785 + 0.809017i) q^{9} +O(q^{10})\)	\(q+(-1.28860 - 0.582664i) q^{2} +(0.453990 + 0.891007i) q^{3} +(1.32101 + 1.50165i) q^{4} +(-1.39750 - 1.74556i) q^{5} +(-0.0658569 - 1.41268i) q^{6} +(2.75918 + 2.75918i) q^{7} +(-0.827297 - 2.70473i) q^{8} +(-0.587785 + 0.809017i) q^{9} +(0.783748 + 3.06362i) q^{10} +(0.189562 + 0.260910i) q^{11} +(-0.738254 + 1.85876i) q^{12} +(0.0568939 + 0.359214i) q^{13} +(-1.94782 - 5.16317i) q^{14} +(0.920857 - 2.03765i) q^{15} +(-0.509891 + 3.96737i) q^{16} +(6.81039 + 3.47007i) q^{17} +(1.22881 - 0.700022i) q^{18} +(-1.52937 - 4.70692i) q^{19} +(0.775117 - 4.40445i) q^{20} +(-1.20581 + 3.71109i) q^{21} +(-0.0922480 - 0.446661i) q^{22} +(-1.39600 + 8.81398i) q^{23} +(2.03435 - 1.96505i) q^{24} +(-1.09399 + 4.87885i) q^{25} +(0.135987 - 0.496035i) q^{26} +(-0.987688 - 0.156434i) q^{27} +(-0.498426 + 7.78821i) q^{28} +(6.53236 + 2.12249i) q^{29} +(-2.37389 + 2.08918i) q^{30} +(5.16506 - 1.67823i) q^{31} +(2.96869 - 4.81527i) q^{32} +(-0.146413 + 0.287352i) q^{33} +(-6.75402 - 8.43972i) q^{34} +(0.960370 - 8.67228i) q^{35} +(-1.99133 + 0.186069i) q^{36} +(5.02172 - 0.795363i) q^{37} +(-0.771798 + 6.95646i) q^{38} +(-0.294233 + 0.213773i) q^{39} +(-3.56514 + 5.22397i) q^{40} +(-7.28627 - 5.29378i) q^{41} +(3.71613 - 4.07955i) q^{42} +(1.45559 - 1.45559i) q^{43} +(-0.141382 + 0.629320i) q^{44} +(2.23362 - 0.104585i) q^{45} +(6.93448 - 10.5443i) q^{46} +(0.891709 - 0.454348i) q^{47} +(-3.76644 + 1.34683i) q^{48} +8.22616i q^{49} +(4.25245 - 5.64949i) q^{50} +7.64348i q^{51} +(-0.464256 + 0.559958i) q^{52} +(-2.04487 + 1.04191i) q^{53} +(1.18159 + 0.777073i) q^{54} +(0.190522 - 0.695515i) q^{55} +(5.18018 - 9.74551i) q^{56} +(3.49957 - 3.49957i) q^{57} +(-7.18093 - 6.54123i) q^{58} +(-5.88836 - 4.27814i) q^{59} +(4.27629 - 1.30895i) q^{60} +(-3.66737 + 2.66450i) q^{61} +(-7.63356 - 0.846920i) q^{62} +(-3.85403 + 0.610418i) q^{63} +(-6.63116 + 4.47524i) q^{64} +(0.547522 - 0.601314i) q^{65} +(0.356099 - 0.284974i) q^{66} +(0.984607 - 1.93240i) q^{67} +(3.78574 + 14.8108i) q^{68} +(-8.48708 + 2.75762i) q^{69} +(-6.29057 + 10.6156i) q^{70} +(-8.42272 - 2.73671i) q^{71} +(2.67445 + 0.920504i) q^{72} +(-12.8742 - 2.03907i) q^{73} +(-6.93444 - 1.90107i) q^{74} +(-4.84375 + 1.24020i) q^{75} +(5.04782 - 8.51443i) q^{76} +(-0.196862 + 1.24294i) q^{77} +(0.503707 - 0.104030i) q^{78} +(3.45409 - 10.6306i) q^{79} +(7.63787 - 4.65435i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(6.30462 + 11.0670i) q^{82} +(-4.05203 - 2.06461i) q^{83} +(-7.16563 + 3.09167i) q^{84} +(-3.46030 - 16.7374i) q^{85} +(-2.72381 + 1.02756i) q^{86} +(1.07447 + 6.78397i) q^{87} +(0.548868 - 0.728566i) q^{88} +(-2.42940 - 3.34378i) q^{89} +(-2.93919 - 1.16668i) q^{90} +(-0.834156 + 1.14812i) q^{91} +(-15.0796 + 9.54702i) q^{92} +(3.84020 + 3.84020i) q^{93} +(-1.41379 + 0.0659088i) q^{94} +(-6.07893 + 9.24753i) q^{95} +(5.63820 + 0.459034i) q^{96} +(1.13559 + 2.22872i) q^{97} +(4.79309 - 10.6003i) q^{98} -0.322503 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q + 12 q^{8}+O(q^{10}) \) 240 * q + 12 * q^8	\( 240 q + 12 q^{8} + 8 q^{10} + 8 q^{12} + 4 q^{13} + 20 q^{17} - 20 q^{20} - 12 q^{22} + 20 q^{25} + 4 q^{28} - 8 q^{30} - 20 q^{32} - 8 q^{33} - 4 q^{37} - 76 q^{38} - 92 q^{40} - 20 q^{42} - 140 q^{44} - 4 q^{45} - 16 q^{48} - 164 q^{50} - 172 q^{52} - 4 q^{53} - 120 q^{58} + 20 q^{60} - 44 q^{62} - 60 q^{64} - 20 q^{65} + 16 q^{68} - 44 q^{70} + 12 q^{72} - 44 q^{73} - 48 q^{77} + 24 q^{78} - 4 q^{80} + 60 q^{81} + 24 q^{82} + 80 q^{84} - 64 q^{85} + 60 q^{88} - 260 q^{89} + 48 q^{90} + 144 q^{92} - 64 q^{93} + 40 q^{94} - 20 q^{96} - 180 q^{97} + 256 q^{98}+O(q^{100}) \) 240 * q + 12 * q^8 + 8 * q^10 + 8 * q^12 + 4 * q^13 + 20 * q^17 - 20 * q^20 - 12 * q^22 + 20 * q^25 + 4 * q^28 - 8 * q^30 - 20 * q^32 - 8 * q^33 - 4 * q^37 - 76 * q^38 - 92 * q^40 - 20 * q^42 - 140 * q^44 - 4 * q^45 - 16 * q^48 - 164 * q^50 - 172 * q^52 - 4 * q^53 - 120 * q^58 + 20 * q^60 - 44 * q^62 - 60 * q^64 - 20 * q^65 + 16 * q^68 - 44 * q^70 + 12 * q^72 - 44 * q^73 - 48 * q^77 + 24 * q^78 - 4 * q^80 + 60 * q^81 + 24 * q^82 + 80 * q^84 - 64 * q^85 + 60 * q^88 - 260 * q^89 + 48 * q^90 + 144 * q^92 - 64 * q^93 + 40 * q^94 - 20 * q^96 - 180 * q^97 + 256 * q^98

Introduction

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