LMFDB - Embedded newform 680.2.bz.a.563.69

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [680,2,Mod(83,680)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(680, base_ring=CyclotomicField(8))

chi = DirichletCharacter(H, H._module([4, 4, 6, 3]))

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

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

chi := DirichletCharacter("680.83");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 680 = 2^{3} \cdot 5 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	680.bz (of order $8$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$5.42982733745$
Analytic rank:	$0$
Dimension:	$416$
Relative dimension:	$104$ over $\Q(\zeta_{8})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label			563.69
Character	$\chi$	$=$	680.563
Dual form			680.2.bz.a.587.70

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.728189 - 1.21233i) q^{2} +(-0.0327956 - 0.0135844i) q^{3} +(-0.939481 - 1.76561i) q^{4} +(1.39213 + 1.74985i) q^{5} +(-0.0403501 + 0.0298670i) q^{6} +(-4.83165 + 2.00134i) q^{7} +(-2.82462 - 0.146738i) q^{8} +(-2.12043 - 2.12043i) q^{9} +O(q^{10})$	\(q+(0.728189 - 1.21233i) q^{2} +(-0.0327956 - 0.0135844i) q^{3} +(-0.939481 - 1.76561i) q^{4} +(1.39213 + 1.74985i) q^{5} +(-0.0403501 + 0.0298670i) q^{6} +(-4.83165 + 2.00134i) q^{7} +(-2.82462 - 0.146738i) q^{8} +(-2.12043 - 2.12043i) q^{9} +(3.13513 - 0.413504i) q^{10} +(-3.58180 - 1.48363i) q^{11} +(0.00682612 + 0.0706664i) q^{12} +(3.78984 + 3.78984i) q^{13} +(-1.09208 + 7.31490i) q^{14} +(-0.0218853 - 0.0762985i) q^{15} +(-2.23475 + 3.31751i) q^{16} +(-1.80346 - 3.70777i) q^{17} +(-4.11473 + 1.02658i) q^{18} +(-2.63383 + 2.63383i) q^{19} +(1.78166 - 4.10191i) q^{20} +0.185644 q^{21} +(-4.40687 + 3.26195i) q^{22} +(-3.18338 + 1.31860i) q^{23} +(0.0906416 + 0.0431830i) q^{24} +(-1.12393 + 4.87204i) q^{25} +(7.35425 - 1.83481i) q^{26} +(0.0814891 + 0.196732i) q^{27} +(8.07282 + 6.65059i) q^{28} +(-1.42107 - 3.43077i) q^{29} +(-0.108435 - 0.0290276i) q^{30} +(-0.729663 - 1.76156i) q^{31} +(2.39459 + 5.12503i) q^{32} +(0.0973129 + 0.0973129i) q^{33} +(-5.80829 - 0.513568i) q^{34} +(-10.2283 - 5.66852i) q^{35} +(-1.75175 + 5.73595i) q^{36} +(-1.38946 - 0.575535i) q^{37} +(1.27514 + 5.11099i) q^{38} +(-0.0728074 - 0.175773i) q^{39} +(-3.67548 - 5.14693i) q^{40} +(-0.414729 + 1.00125i) q^{41} +(0.135184 - 0.225061i) q^{42} +5.12864 q^{43} +(0.745520 + 7.71789i) q^{44} +(0.758505 - 6.66235i) q^{45} +(-0.719529 + 4.81950i) q^{46} +(-0.519612 + 0.519612i) q^{47} +(0.118356 - 0.0784420i) q^{48} +(14.3898 - 14.3898i) q^{49} +(5.08808 + 4.91034i) q^{50} +(0.00877787 + 0.146097i) q^{51} +(3.13090 - 10.2519i) q^{52} -3.61147 q^{53} +(0.297844 + 0.0444667i) q^{54} +(-2.39022 - 8.33300i) q^{55} +(13.9412 - 4.94402i) q^{56} +(0.122157 - 0.0505990i) q^{57} +(-5.19403 - 0.775444i) q^{58} +(-0.780898 - 0.780898i) q^{59} +(-0.114153 + 0.110322i) q^{60} +(-7.86852 - 3.25925i) q^{61} +(-2.66692 - 0.398159i) q^{62} +(14.4889 + 6.00148i) q^{63} +(7.95694 + 0.828960i) q^{64} +(-1.35568 + 11.9076i) q^{65} +(0.188837 - 0.0471130i) q^{66} +(5.89290 - 5.89290i) q^{67} +(-4.85215 + 6.66758i) q^{68} +0.122313 q^{69} +(-14.3203 + 8.27234i) q^{70} +(5.69563 + 13.7505i) q^{71} +(5.67825 + 6.30055i) q^{72} +(-3.74741 + 9.04705i) q^{73} +(-1.70953 + 1.26539i) q^{74} +(0.103043 - 0.144514i) q^{75} +(7.12474 + 2.17588i) q^{76} +20.2752 q^{77} +(-0.266112 - 0.0397293i) q^{78} +(-2.69275 - 1.11537i) q^{79} +(-8.91621 + 0.707947i) q^{80} +8.98866i q^{81} +(0.911837 + 1.23188i) q^{82} -1.01502i q^{83} +(-0.174409 - 0.327774i) q^{84} +(3.97736 - 8.31749i) q^{85} +(3.73462 - 6.21760i) q^{86} +0.131818i q^{87} +(9.89950 + 4.71627i) q^{88} -13.0061 q^{89} +(-7.52462 - 5.77101i) q^{90} +(-25.8959 - 10.7264i) q^{91} +(5.31886 + 4.38181i) q^{92} +0.0676834i q^{93} +(0.251565 + 1.00832i) q^{94} +(-8.27543 - 0.942154i) q^{95} +(-0.00891170 - 0.200607i) q^{96} +(10.1835 + 4.21813i) q^{97} +(-6.96664 - 27.9236i) q^{98} +(4.44902 + 10.7409i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 416 q - 8 q^{2} - 8 q^{3} - 8 q^{8}+O(q^{10}) $ 416 * q - 8 * q^2 - 8 * q^3 - 8 * q^8	$ 416 q - 8 q^{2} - 8 q^{3} - 8 q^{8} + 4 q^{10} - 16 q^{11} - 16 q^{12} + 16 q^{14} - 16 q^{16} - 16 q^{17} - 8 q^{18} + 32 q^{19} + 12 q^{20} - 12 q^{22} - 24 q^{24} - 16 q^{25} + 8 q^{26} - 32 q^{27} + 44 q^{28} + 16 q^{30} - 8 q^{32} - 16 q^{33} - 16 q^{35} - 72 q^{36} - 16 q^{38} + 16 q^{40} - 16 q^{41} - 16 q^{43} + 32 q^{46} - 36 q^{48} - 48 q^{50} - 16 q^{51} + 24 q^{52} - 16 q^{54} - 8 q^{56} + 16 q^{57} + 8 q^{58} + 64 q^{60} - 56 q^{62} - 48 q^{64} - 8 q^{65} - 8 q^{66} - 16 q^{67} - 12 q^{68} - 88 q^{70} - 24 q^{72} + 32 q^{73} + 16 q^{74} - 32 q^{75} - 40 q^{76} - 84 q^{78} + 16 q^{80} + 28 q^{82} - 48 q^{86} + 8 q^{88} - 32 q^{90} - 16 q^{91} + 48 q^{92} + 24 q^{94} - 8 q^{96} - 16 q^{97} + 40 q^{98}+O(q^{100}) $ 416 * q - 8 * q^2 - 8 * q^3 - 8 * q^8 + 4 * q^10 - 16 * q^11 - 16 * q^12 + 16 * q^14 - 16 * q^16 - 16 * q^17 - 8 * q^18 + 32 * q^19 + 12 * q^20 - 12 * q^22 - 24 * q^24 - 16 * q^25 + 8 * q^26 - 32 * q^27 + 44 * q^28 + 16 * q^30 - 8 * q^32 - 16 * q^33 - 16 * q^35 - 72 * q^36 - 16 * q^38 + 16 * q^40 - 16 * q^41 - 16 * q^43 + 32 * q^46 - 36 * q^48 - 48 * q^50 - 16 * q^51 + 24 * q^52 - 16 * q^54 - 8 * q^56 + 16 * q^57 + 8 * q^58 + 64 * q^60 - 56 * q^62 - 48 * q^64 - 8 * q^65 - 8 * q^66 - 16 * q^67 - 12 * q^68 - 88 * q^70 - 24 * q^72 + 32 * q^73 + 16 * q^74 - 32 * q^75 - 40 * q^76 - 84 * q^78 + 16 * q^80 + 28 * q^82 - 48 * q^86 + 8 * q^88 - 32 * q^90 - 16 * q^91 + 48 * q^92 + 24 * q^94 - 8 * q^96 - 16 * q^97 + 40 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/680\mathbb{Z}\right)^\times$.

$n$	$137$	$241$	$341$	$511$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{7}{8}\right)$	$-1$	$-1$

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 $

$2$	0.728189	−	1.21233i	0.514908	−	0.857246i
$2$	0.728189	−	1.21233i	0.514908	−	0.857246i
$3$	−0.0327956	−	0.0135844i	−0.0189345	−	0.00784294i	0.373196	−	0.927752i	$-0.378262\pi$
$3$	−0.0327956	−	0.0135844i	−0.0189345	−	0.00784294i	−0.392131	+	0.919910i	$0.628262\pi$
$4$	−0.939481	−	1.76561i	−0.469740	−	0.882805i
$5$	1.39213	+	1.74985i	0.622581	+	0.782555i
$5$	1.39213	+	1.74985i	0.622581	+	0.782555i
$6$	−0.0403501	+	0.0298670i	−0.0164729	+	0.0121932i
$7$	−4.83165	+	2.00134i	−1.82619	+	0.756434i	−0.854798	+	0.518961i	$0.826319\pi$
$7$	−4.83165	+	2.00134i	−1.82619	+	0.756434i	−0.971394	+	0.237472i	$0.923681\pi$
$8$	−2.82462	−	0.146738i	−0.998653	−	0.0518799i
$9$	−2.12043	−	2.12043i	−0.706810	−	0.706810i
$10$	3.13513	−	0.413504i	0.991414	−	0.130761i
$11$	−3.58180	−	1.48363i	−1.07995	−	0.447331i	−0.229460	−	0.973318i	$-0.573696\pi$
$11$	−3.58180	−	1.48363i	−1.07995	−	0.447331i	−0.850492	+	0.525987i	$0.823696\pi$
$12$	0.00682612	+	0.0706664i	0.00197053	+	0.0203996i
$13$	3.78984	+	3.78984i	1.05111	+	1.05111i	0.998621	+	0.0524914i	$0.0167162\pi$
$13$	3.78984	+	3.78984i	1.05111	+	1.05111i	0.0524914	+	0.998621i	$0.483284\pi$
$14$	−1.09208	+	7.31490i	−0.291871	+	1.95499i
$15$	−0.0218853	−	0.0762985i	−0.00565075	−	0.0197002i
$16$	−2.23475	+	3.31751i	−0.558688	+	0.829378i
$17$	−1.80346	−	3.70777i	−0.437404	−	0.899265i
$17$	−1.80346	−	3.70777i	−0.437404	−	0.899265i
$18$	−4.11473	+	1.02658i	−0.969851	+	0.241968i
$19$	−2.63383	+	2.63383i	−0.604241	+	0.604241i	−0.941435	−	0.337194i	$-0.890522\pi$
$19$	−2.63383	+	2.63383i	−0.604241	+	0.604241i	0.337194	+	0.941435i	$0.390522\pi$
$20$	1.78166	−	4.10191i	0.398392	−	0.917215i
$21$	0.185644			0.0405108
$22$	−4.40687	+	3.26195i	−0.939548	+	0.695450i
$23$	−3.18338	+	1.31860i	−0.663782	+	0.274947i	−0.689029	−	0.724734i	$-0.741963\pi$
$23$	−3.18338	+	1.31860i	−0.663782	+	0.274947i	0.0252473	+	0.999681i	$0.491963\pi$
$24$	0.0906416	+	0.0431830i	0.0185021	+	0.00881470i
$25$	−1.12393	+	4.87204i	−0.224786	+	0.974408i
$26$	7.35425	−	1.83481i	1.44229	−	0.359836i
$27$	0.0814891	+	0.196732i	0.0156826	+	0.0378611i
$28$	8.07282	+	6.65059i	1.52562	+	1.25684i
$29$	−1.42107	−	3.43077i	−0.263886	−	0.637078i	0.735286	−	0.677757i	$-0.237048\pi$
$29$	−1.42107	−	3.43077i	−0.263886	−	0.637078i	−0.999172	+	0.0406793i	$0.987048\pi$
$30$	−0.108435	−	0.0290276i	−0.0197975	−	0.00529970i
$31$	−0.729663	−	1.76156i	−0.131051	−	0.316386i	0.844710	−	0.535225i	$-0.179773\pi$
$31$	−0.729663	−	1.76156i	−0.131051	−	0.316386i	−0.975761	+	0.218839i	$0.929773\pi$
$32$	2.39459	+	5.12503i	0.423308	+	0.905986i
$33$	0.0973129	+	0.0973129i	0.0169400	+	0.0169400i
$34$	−5.80829	−	0.513568i	−0.996114	−	0.0880763i
$35$	−10.2283	−	5.66852i	−1.72890	−	0.958155i
$36$	−1.75175	+	5.73595i	−0.291958	+	0.955992i
$37$	−1.38946	−	0.575535i	−0.228426	−	0.0946173i	0.265535	−	0.964101i	$-0.414452\pi$
$37$	−1.38946	−	0.575535i	−0.228426	−	0.0946173i	−0.493961	+	0.869484i	$0.664452\pi$
$38$	1.27514	+	5.11099i	0.206855	+	0.829112i
$39$	−0.0728074	−	0.175773i	−0.0116585	−	0.0281462i
$40$	−3.67548	−	5.14693i	−0.581144	−	0.813801i
$41$	−0.414729	+	1.00125i	−0.0647698	+	0.156368i	−0.952950	−	0.303127i	$-0.901970\pi$
$41$	−0.414729	+	1.00125i	−0.0647698	+	0.156368i	0.888180	+	0.459495i	$0.151970\pi$
$42$	0.135184	−	0.225061i	0.0208593	−	0.0347277i
$43$	5.12864			0.782110			0.391055	−	0.920367i	$-0.372110\pi$
$43$	5.12864			0.782110			0.391055	+	0.920367i	$0.372110\pi$
$44$	0.745520	+	7.71789i	0.112391	+	1.16352i
$45$	0.758505	−	6.66235i	0.113071	−	0.993164i
$46$	−0.719529	+	4.81950i	−0.106089	+	0.710596i
$47$	−0.519612	+	0.519612i	−0.0757932	+	0.0757932i	−0.743987	−	0.668194i	$-0.767068\pi$
$47$	−0.519612	+	0.519612i	−0.0757932	+	0.0757932i	0.668194	+	0.743987i	$0.267068\pi$
$48$	0.118356	−	0.0784420i	0.0170833	−	0.0113221i
$49$	14.3898	−	14.3898i	2.05568	−	2.05568i
$50$	5.08808	+	4.91034i	0.719564	+	0.694427i
$51$	0.00877787	+	0.146097i	0.00122915	+	0.0204577i
$52$	3.13090	−	10.2519i	0.434177	−	1.42168i
$53$	−3.61147			−0.496074			−0.248037	−	0.968751i	$-0.579785\pi$
$53$	−3.61147			−0.496074			−0.248037	+	0.968751i	$0.579785\pi$
$54$	0.297844	+	0.0444667i	0.0405314	+	0.00605115i
$55$	−2.39022	−	8.33300i	−0.322297	−	1.12362i
$56$	13.9412	−	4.94402i	1.86298	−	0.660672i
$57$	0.122157	−	0.0505990i	0.0161801	−	0.00670200i
$58$	−5.19403	−	0.775444i	−0.682009	−	0.101821i
$59$	−0.780898	−	0.780898i	−0.101664	−	0.101664i	0.654445	−	0.756109i	$-0.272902\pi$
$59$	−0.780898	−	0.780898i	−0.101664	−	0.101664i	−0.756109	+	0.654445i	$0.772902\pi$
$60$	−0.114153	+	0.110322i	−0.0147370	+	0.0142425i
$61$	−7.86852	−	3.25925i	−1.00746	−	0.417304i	−0.182933	−	0.983125i	$-0.558559\pi$
$61$	−7.86852	−	3.25925i	−1.00746	−	0.417304i	−0.824528	+	0.565822i	$0.808559\pi$
$62$	−2.66692	−	0.398159i	−0.338700	−	0.0505663i
$63$	14.4889	+	6.00148i	1.82543	+	0.756116i
$64$	7.95694	+	0.828960i	0.994617	+	0.103620i
$65$	−1.35568	+	11.9076i	−0.168151	+	1.47696i
$66$	0.188837	−	0.0471130i	0.0232443	−	0.00579921i
$67$	5.89290	−	5.89290i	0.719933	−	0.719933i	−0.248658	−	0.968591i	$-0.579990\pi$
$67$	5.89290	−	5.89290i	0.719933	−	0.719933i	0.968591	+	0.248658i	$0.0799896\pi$
$68$	−4.85215	+	6.66758i	−0.588409	+	0.808563i
$69$	0.122313			0.0147248
$70$	−14.3203	+	8.27234i	−1.71160	+	0.988734i
$71$	5.69563	+	13.7505i	0.675946	+	1.63188i	0.771328	+	0.636438i	$0.219593\pi$
$71$	5.69563	+	13.7505i	0.675946	+	1.63188i	−0.0953814	+	0.995441i	$0.530407\pi$
$72$	5.67825	+	6.30055i	0.669189	+	0.742527i
$73$	−3.74741	+	9.04705i	−0.438601	+	1.05888i	0.537831	+	0.843053i	$0.319244\pi$
$73$	−3.74741	+	9.04705i	−0.438601	+	1.05888i	−0.976432	+	0.215824i	$0.930756\pi$
$74$	−1.70953	+	1.26539i	−0.198729	+	0.147098i
$75$	0.103043	−	0.144514i	0.0118984	−	0.0166870i
$76$	7.12474	+	2.17588i	0.817264	+	0.249590i
$77$	20.2752			2.31058
$78$	−0.266112	−	0.0397293i	−0.0301312	−	0.00449845i
$79$	−2.69275	−	1.11537i	−0.302958	−	0.125489i	0.226025	−	0.974121i	$-0.427427\pi$
$79$	−2.69275	−	1.11537i	−0.302958	−	0.125489i	−0.528984	+	0.848632i	$0.677427\pi$
$80$	−8.91621	+	0.707947i	−0.996863	+	0.0791508i
$81$			8.98866i			0.998740i
$82$	0.911837	+	1.23188i	0.100696	+	0.136039i
$83$		−	1.01502i		−	0.111413i	−0.998447	−	0.0557063i	$-0.982259\pi$
$83$		−	1.01502i		−	0.111413i	0.998447	−	0.0557063i	$-0.0177410\pi$
$84$	−0.174409	−	0.327774i	−0.0190295	−	0.0357631i
$85$	3.97736	−	8.31749i	0.431406	−	0.902158i
$86$	3.73462	−	6.21760i	0.402715	−	0.670461i
$87$			0.131818i			0.0141324i
$88$	9.89950	+	4.71627i	1.05529	+	0.502756i
$89$	−13.0061			−1.37864			−0.689321	−	0.724456i	$-0.742091\pi$
$89$	−13.0061			−1.37864			−0.689321	+	0.724456i	$0.742091\pi$
$90$	−7.52462	−	5.77101i	−0.793164	−	0.608318i
$91$	−25.8959	−	10.7264i	−2.71463	−	1.12444i
$92$	5.31886	+	4.38181i	0.554530	+	0.456836i
$93$			0.0676834i			0.00701845i
$94$	0.251565	+	1.00832i	0.0259469	+	0.104000i
$95$	−8.27543	−	0.942154i	−0.849041	−	0.0966630i
$96$	−0.00891170	−	0.200607i	−0.000909547	−	0.0204744i
$97$	10.1835	+	4.21813i	1.03398	+	0.428287i	0.834146	−	0.551544i	$-0.185961\pi$
$97$	10.1835	+	4.21813i	1.03398	+	0.428287i	0.199830	+	0.979831i	$0.435961\pi$
$98$	−6.96664	−	27.9236i	−0.703737	−	2.82071i
$99$	4.44902	+	10.7409i	0.447143	+	1.07950i
$100$	9.65803	−	2.59277i	0.965803	−	0.259277i
$101$		−	14.3933i		−	1.43218i	−0.698007	−	0.716091i	$-0.745929\pi$
$101$		−	14.3933i		−	1.43218i	0.698007	−	0.716091i	$-0.254071\pi$
$102$	0.183510	+	0.0957448i	0.0181702	+	0.00948015i
$103$	5.94890	−	5.94890i	0.586162	−	0.586162i	−0.350428	−	0.936590i	$-0.613964\pi$
$103$	5.94890	−	5.94890i	0.586162	−	0.586162i	0.936590	+	0.350428i	$0.113964\pi$
$104$	−10.1487	−	11.2610i	−0.995166	−	1.10423i
$105$	0.258441	+	0.324848i	0.0252212	+	0.0317019i
$106$	−2.62983	+	4.37829i	−0.255432	+	0.425257i
$107$	−2.05786	−	0.852394i	−0.198941	−	0.0824040i	0.280988	−	0.959711i	$-0.409338\pi$
$107$	−2.05786	−	0.852394i	−0.198941	−	0.0824040i	−0.479929	+	0.877307i	$0.659338\pi$
$108$	0.270795	−	0.328704i	0.0260572	−	0.0316296i
$109$	−5.24541	+	12.6635i	−0.502419	+	1.21295i	0.445743	+	0.895161i	$0.352940\pi$
$109$	−5.24541	+	12.6635i	−0.502419	+	1.21295i	−0.948162	+	0.317787i	$0.897060\pi$
$110$	−11.8429	−	3.17028i	−1.12917	−	0.302274i
$111$	0.0377500	+	0.0377500i	0.00358307	+	0.00358307i
$112$	4.15809	−	20.5015i	0.392902	−	1.93721i
$113$	−3.95762	−	9.55454i	−0.372302	−	0.898815i	−0.993360	−	0.115051i	$-0.963297\pi$
$113$	−3.95762	−	9.55454i	−0.372302	−	0.898815i	0.621058	−	0.783765i	$-0.286703\pi$
$114$	0.0276107	−	0.184940i	0.00258597	−	0.0173212i
$115$	−6.73905	−	3.73477i	−0.628419	−	0.348269i
$116$	−4.72233	+	5.73220i	−0.438457	+	0.532221i
$117$		−	16.0722i		−	1.48587i
$118$	−1.51535	+	0.378063i	−0.139499	+	0.0348036i
$119$	16.1342	+	14.3053i	1.47902	+	1.31136i
$120$	0.0506216	+	0.218726i	0.00462110	+	0.0199668i
$121$	2.84993	+	2.84993i	0.259085	+	0.259085i
$122$	−9.68105	+	7.16588i	−0.876481	+	0.648768i
$123$	0.0272026	−	0.0272026i	0.00245277	−	0.00245277i
$124$	−2.42472	+	2.94325i	−0.217747	+	0.264312i
$125$	−10.0900	+	4.81583i	−0.902476	+	0.430741i
$126$	17.8264	−	13.1950i	1.58810	−	1.17551i
$127$	4.40218			0.390630			0.195315	−	0.980741i	$-0.437427\pi$
$127$	4.40218			0.390630			0.195315	+	0.980741i	$0.437427\pi$
$128$	6.79913	−	9.04278i	0.600964	−	0.799276i
$129$	−0.168197	−	0.0696694i	−0.0148089	−	0.00613405i
$130$	13.4487	+	10.3145i	1.17953	+	0.904643i
$131$	−5.56650	−	13.4387i	−0.486347	−	1.17415i	−0.956545	−	0.291585i	$-0.905817\pi$
$131$	−5.56650	−	13.4387i	−0.486347	−	1.17415i	0.470198	−	0.882561i	$-0.344183\pi$
$132$	0.0803930	−	0.263240i	0.00699731	−	0.0229121i
$133$	7.45456	−	17.9969i	0.646392	−	1.56053i
$134$	−2.85299	−	11.4353i	−0.246460	−	0.987858i
$135$	−0.230807	+	0.416471i	−0.0198647	+	0.0358441i
$136$	4.55002	+	10.7377i	0.390161	+	0.920747i
$137$	9.54788	−	9.54788i	0.815731	−	0.815731i	−0.169755	−	0.985486i	$-0.554298\pi$
$137$	9.54788	−	9.54788i	0.815731	−	0.815731i	0.985486	+	0.169755i	$0.0542978\pi$
$138$	0.0890672	−	0.148284i	0.00758191	−	0.0126228i
$139$	−3.09083	−	7.46193i	−0.262161	−	0.632912i	0.736911	−	0.675990i	$-0.236284\pi$
$139$	−3.09083	−	7.46193i	−0.262161	−	0.632912i	−0.999072	+	0.0430775i	$0.986284\pi$
$140$	−0.399072	+	23.3847i	−0.0337278	+	1.97637i
$141$	0.0240996	−	0.00998237i	0.00202955	−	0.000840667i
$142$	20.8176	+	3.10797i	1.74697	+	0.260815i
$143$	−7.95172	−	19.1972i	−0.664956	−	1.60535i
$144$	11.7732	−	2.29592i	0.981099	−	0.191326i
$145$	4.02500	−	7.26274i	0.334258	−	0.603138i
$146$	8.23917	+	11.1311i	0.681879	+	0.921213i
$147$	−0.667396	+	0.276445i	−0.0550459	+	0.0228008i
$148$	0.289205	+	2.99395i	0.0237725	+	0.246102i
$149$			10.2517i			0.839851i	0.907559	+	0.419925i	$0.137944\pi$
$149$			10.2517i			0.839851i	−0.907559	+	0.419925i	$0.862056\pi$
$150$	−0.100163	−	0.230156i	−0.00817825	−	0.0187921i
$151$	−17.1167	+	17.1167i	−1.39294	+	1.39294i	−0.574274	+	0.818663i	$0.694716\pi$
$151$	−17.1167	+	17.1167i	−1.39294	+	1.39294i	−0.818663	+	0.574274i	$0.805284\pi$
$152$	7.82604	−	7.05307i	0.634776	−	0.572080i
$153$	−4.03794	+	11.6862i	−0.326448	+	0.944771i
$154$	14.7642	−	24.5802i	1.18973	−	1.98073i
$155$	2.06667	−	3.72913i	0.165999	−	0.299531i
$156$	−0.241945	+	0.293684i	−0.0193711	+	0.0235136i
$157$	0.0419974	−	0.0419974i	0.00335176	−	0.00335176i	−0.705429	−	0.708781i	$-0.749246\pi$
$157$	0.0419974	−	0.0419974i	0.00335176	−	0.00335176i	0.708781	+	0.705429i	$0.249246\pi$
$158$	−3.31303	+	2.45230i	−0.263571	+	0.195094i
$159$	0.118440	+	0.0490596i	0.00939293	+	0.00389068i
$160$	−5.63443	+	11.3249i	−0.445440	+	0.895312i
$161$	12.7420	−	12.7420i	1.00421	−	1.00421i
$162$	10.8972	+	6.54545i	0.856166	+	0.514259i
$163$	−12.9715	+	5.37295i	−1.01600	+	0.420842i	−0.827641	−	0.561257i	$-0.810318\pi$
$163$	−12.9715	+	5.37295i	−1.01600	+	0.420842i	−0.188362	+	0.982100i	$0.560318\pi$
$164$	2.15744	−	0.208401i	0.168468	−	0.0162734i
$165$	−0.0348101	+	0.305755i	−0.00270996	+	0.0238030i
$166$	−1.23053	−	0.739124i	−0.0955080	−	0.0573672i
$167$	−4.51368	−	1.86963i	−0.349279	−	0.144676i	0.201145	−	0.979562i	$-0.435534\pi$
$167$	−4.51368	−	1.86963i	−0.349279	−	0.144676i	−0.550424	+	0.834885i	$0.685534\pi$
$168$	−0.524372	−	0.0272411i	−0.0404562	−	0.00210169i
$169$			15.7258i			1.20968i
$170$	−7.18725	−	10.8786i	−0.551237	−	0.834349i
$171$	11.1697			0.854167
$172$	−4.81826	−	9.05518i	−0.367389	−	0.690451i
$173$	−4.74045	+	11.4445i	−0.360410	+	0.870106i	0.634830	+	0.772652i	$0.281070\pi$
$173$	−4.74045	+	11.4445i	−0.360410	+	0.870106i	−0.995240	+	0.0974547i	$0.968930\pi$
$174$	0.159807	+	0.0959887i	0.0121150	+	0.00727689i
$175$	−4.32016	−	25.7894i	−0.326574	−	1.94949i
$176$	12.9264	−	8.56711i	0.974362	−	0.645770i
$177$	0.0150020	+	0.0362180i	0.00112762	+	0.00272231i
$178$	−9.47088	+	15.7676i	−0.709873	+	1.18183i
$179$	−6.29582	−	6.29582i	−0.470572	−	0.470572i	0.431528	−	0.902100i	$-0.357975\pi$
$179$	−6.29582	−	6.29582i	−0.470572	−	0.470572i	−0.902100	+	0.431528i	$0.857975\pi$
$180$	−12.4757	+	4.91992i	−0.929884	+	0.366709i
$181$	−7.76237	+	18.7400i	−0.576972	+	1.39293i	0.318545	+	0.947908i	$0.396806\pi$
$181$	−7.76237	+	18.7400i	−0.576972	+	1.39293i	−0.895517	+	0.445027i	$0.853194\pi$
$182$	−31.8611	+	23.5835i	−2.36170	+	1.74812i
$183$	0.213778	+	0.213778i	0.0158029	+	0.0158029i
$184$	9.18534	−	3.25742i	0.677152	−	0.240140i
$185$	−0.927222	−	3.23257i	−0.0681707	−	0.237663i
$186$	0.0820546	+	0.0492863i	0.00601653	+	0.00361385i
$187$	0.958682	+	15.9561i	0.0701057	+	1.16683i
$188$	1.40560	+	0.429266i	0.102514	+	0.0313075i
$189$	−0.787454	−	0.787454i	−0.0572788	−	0.0572788i
$190$	−7.16828	+	9.34648i	−0.520042	+	0.678065i
$191$	−13.1658			−0.952647			−0.476323	−	0.879270i	$-0.658031\pi$
$191$	−13.1658			−0.952647			−0.476323	+	0.879270i	$0.658031\pi$
$192$	−0.249691	−	0.135276i	−0.0180199	−	0.00976272i
$193$	4.43576	+	10.7089i	0.319293	+	0.770842i	0.999292	+	0.0376285i	$0.0119804\pi$
$193$	4.43576	+	10.7089i	0.319293	+	0.770842i	−0.679999	+	0.733213i	$0.738020\pi$
$194$	12.5293	−	9.27412i	0.899549	−	0.665843i
$195$	0.206218	−	0.372101i	0.0147675	−	0.0266467i
$196$	−38.9256	−	11.8878i	−2.78040	−	0.849128i
$197$	5.67996	−	2.35271i	0.404680	−	0.167624i	−0.171053	−	0.985262i	$-0.554717\pi$
$197$	5.67996	−	2.35271i	0.404680	−	0.167624i	0.575733	+	0.817638i	$0.304717\pi$
$198$	16.2612	+	2.42772i	1.15563	+	0.172531i
$199$	−5.62116	−	13.5707i	−0.398473	−	0.962000i	−0.988028	−	0.154272i	$-0.950697\pi$
$199$	−5.62116	−	13.5707i	−0.398473	−	0.962000i	0.589555	−	0.807728i	$-0.299303\pi$
$200$	3.88958	−	13.5967i	0.275035	−	0.961434i
$201$	−0.273313	+	0.113210i	−0.0192780	+	0.00798520i
$202$	−17.4494	−	10.4810i	−1.22773	−	0.737441i
$203$	13.7322	+	13.7322i	0.963814	+	0.963814i
$204$	0.249704	−	0.152754i	0.0174828	−	0.0106949i
$205$	−2.32938	+	0.668154i	−0.162691	+	0.0466659i
$206$	−2.88009	−	11.5439i	−0.200666	−	0.804304i
$207$	9.54614	+	3.95414i	0.663503	+	0.274832i
$208$	−21.0422	+	4.10349i	−1.45901	+	0.284526i
$209$	13.3414	−	5.52621i	0.922847	−	0.382256i
$210$	0.582016	−	0.0767643i	0.0401629	−	0.00529724i
$211$	6.15039	−	14.8484i	0.423410	−	1.02220i	−0.557924	−	0.829892i	$-0.688402\pi$
$211$	6.15039	−	14.8484i	0.423410	−	1.02220i	0.981334	−	0.192311i	$-0.0615981\pi$
$212$	3.39291	+	6.37645i	0.233026	+	0.437936i
$213$		−	0.528326i		−	0.0362003i
$214$	−2.53189	+	1.87410i	−0.173077	+	0.128111i
$215$	7.13975	+	8.97434i	0.486927	+	0.612045i
$216$	−0.201308	−	0.567651i	−0.0136972	−	0.0386237i
$217$	7.05095	+	7.05095i	0.478650	+	0.478650i
$218$	11.5327	+	15.5806i	0.781095	+	1.05525i
$219$	0.245797	−	0.245797i	0.0166094	−	0.0166094i
$220$	−12.4673	+	12.0489i	−0.840543	+	0.812335i
$221$	7.21701	−	20.8867i	0.485469	−	1.40499i
$222$	0.0732545	−	0.0182763i	0.00491652	−	0.00122662i
$223$	13.0756			0.875608			0.437804	−	0.899070i	$-0.355756\pi$
$223$	13.0756			0.875608			0.437804	+	0.899070i	$0.355756\pi$
$224$	−21.8267	−	19.9700i	−1.45836	−	1.33430i
$225$	12.7140	−	7.94761i	0.847602	−	0.529841i
$226$	−14.4651	−	2.15958i	−0.962207	−	0.143653i
$227$	−7.32678	+	3.03485i	−0.486295	+	0.201430i	−0.612340	−	0.790594i	$-0.709772\pi$
$227$	−7.32678	+	3.03485i	−0.486295	+	0.201430i	0.126045	+	0.992025i	$0.459772\pi$
$228$	−0.204102	−	0.168144i	−0.0135170	−	0.0111356i
$229$	−9.79726	+	9.79726i	−0.647421	+	0.647421i	−0.952369	−	0.304948i	$-0.901361\pi$
$229$	−9.79726	+	9.79726i	−0.647421	+	0.647421i	0.304948	+	0.952369i	$0.401361\pi$
$230$	−9.43507	+	5.45032i	−0.622130	+	0.359384i
$231$	−0.664938	−	0.275426i	−0.0437497	−	0.0181217i
$232$	3.51056	+	9.89914i	0.230479	+	0.649910i
$233$	−7.24951	+	17.5019i	−0.474931	+	1.14659i	0.487026	+	0.873387i	$0.338082\pi$
$233$	−7.24951	+	17.5019i	−0.474931	+	1.14659i	−0.961958	+	0.273198i	$0.911918\pi$
$234$	−19.4848	−	11.7036i	−1.27376	−	0.765088i
$235$	−1.63261	−	0.185872i	−0.106500	−	0.0121250i
$236$	−0.645122	+	2.11240i	−0.0419939	+	0.137506i
$237$	0.0731587	+	0.0731587i	0.00475217	+	0.00475217i
$238$	29.0915	−	9.14295i	1.88572	−	0.592650i
$239$	−2.74482			−0.177548			−0.0887739	−	0.996052i	$-0.528295\pi$
$239$	−2.74482			−0.177548			−0.0887739	+	0.996052i	$0.528295\pi$
$240$	0.302029	+	0.0979036i	0.0194959	+	0.00631965i
$241$	−16.5587	+	6.85884i	−1.06664	+	0.441817i	−0.845804	−	0.533494i	$-0.820879\pi$
$241$	−16.5587	+	6.85884i	−1.06664	+	0.441817i	−0.220836	+	0.975311i	$0.570879\pi$
$242$	5.53034	−	1.37976i	0.355504	−	0.0886945i
$243$	0.366573	−	0.884985i	0.0235156	−	0.0567718i
$244$	1.63776	+	16.9547i	0.104847	+	1.08542i
$245$	45.2123	+	5.14740i	2.88851	+	0.328856i
$246$	−0.0131698	−	0.0527871i	−0.000839678	−	0.00336558i
$247$	−19.9636			−1.27025
$248$	1.80253	+	5.08281i	0.114461	+	0.322759i
$249$	−0.0137884	+	0.0332881i	−0.000873802	+	0.00210955i
$250$	−1.50905	+	15.7392i	−0.0954406	+	0.995435i
$251$			17.9374i			1.13220i	0.824337	+	0.566100i	$0.191548\pi$
$251$			17.9374i			1.13220i	−0.824337	+	0.566100i	$0.808452\pi$
$252$	−3.01573	−	31.2199i	−0.189973	−	1.96667i
$253$	13.3585			0.839845
$254$	3.20562	−	5.33689i	0.201139	−	0.334866i
$255$	−0.243428	+	0.218747i	−0.0152440	+	0.0136985i
$256$	−6.01177	−	14.8276i	−0.375736	−	0.926727i
$257$	6.20655			0.387154			0.193577	−	0.981085i	$-0.437991\pi$
$257$	6.20655			0.387154			0.193577	+	0.981085i	$0.437991\pi$
$258$	−0.206941	+	0.153177i	−0.0128836	+	0.00953640i
$259$	7.86524			0.488722
$260$	22.2978	−	8.79337i	1.38285	−	0.545342i
$261$	−4.26142	+	10.2880i	−0.263775	+	0.636810i
$262$	−20.3456	−	3.03750i	−1.25696	−	0.187658i
$263$			27.0986i			1.67097i	0.549512	+	0.835486i	$0.314814\pi$
$263$			27.0986i			1.67097i	−0.549512	+	0.835486i	$0.685186\pi$
$264$	−0.260592	−	0.289151i	−0.0160383	−	0.0177960i
$265$	−5.02765	−	6.31952i	−0.308846	−	0.388205i
$266$	−16.3898	−	22.1425i	−1.00492	−	1.35765i
$267$	0.426542	+	0.176679i	0.0261039	+	0.0108126i
$268$	−15.9408	−	4.86830i	−0.973742	−	0.297379i
$269$	18.7038	−	7.74736i	1.14039	−	0.472365i	0.269089	−	0.963115i	$-0.413277\pi$
$269$	18.7038	−	7.74736i	1.14039	−	0.472365i	0.871300	+	0.490751i	$0.163277\pi$
$270$	0.336828	+	0.583084i	0.0204987	+	0.0354854i
$271$			0.635539i			0.0386063i	0.999814	+	0.0193031i	$0.00614476\pi$
$271$			0.635539i			0.0386063i	−0.999814	+	0.0193031i	$0.993855\pi$
$272$	16.3308	+	2.30293i	0.990203	+	0.139636i
$273$	0.703560	+	0.703560i	0.0425814	+	0.0425814i
$274$	−4.62251	−	18.5278i	−0.279256	−	1.11931i
$275$	11.2540	−	15.7832i	0.678640	−	0.951761i
$276$	−0.114911	−	0.215958i	−0.00691683	−	0.0129991i
$277$	−4.12927	+	9.96895i	−0.248104	+	0.598976i	−0.998043	−	0.0625309i	$-0.980083\pi$
$277$	−4.12927	+	9.96895i	−0.248104	+	0.598976i	0.749939	+	0.661507i	$0.230083\pi$
$278$	−11.2970	−	1.68659i	−0.677550	−	0.101155i
$279$	−2.18807	+	5.28246i	−0.130996	+	0.316253i
$280$	28.0593	+	17.5123i	1.67687	+	1.04656i
$281$	16.0075	−	16.0075i	0.954930	−	0.954930i	−0.0440975	−	0.999027i	$-0.514041\pi$
$281$	16.0075	−	16.0075i	0.954930	−	0.954930i	0.999027	+	0.0440975i	$0.0140412\pi$
$282$	0.00544714	−	0.0364857i	0.000324372	−	0.00217269i
$283$	4.95909	+	11.9723i	0.294787	+	0.711680i	0.999996	+	0.00268022i	$0.000853140\pi$
$283$	4.95909	+	11.9723i	0.294787	+	0.711680i	−0.705209	+	0.708999i	$0.749147\pi$
$284$	18.9270	−	22.9745i	1.12311	−	1.36329i
$285$	0.258599	+	0.143315i	0.0153181	+	0.00848925i
$286$	−29.0636	−	4.33906i	−1.71857	−	0.256574i
$287$		−	5.66768i		−	0.334553i
$288$	5.78970	−	15.9448i	0.341161	−	0.939558i
$289$	−10.4951	+	13.3736i	−0.617356	+	0.786684i
$290$	−5.87387	−	10.1683i	−0.344926	−	0.597102i
$291$	−0.276672	−	0.276672i	−0.0162188	−	0.0162188i
$292$	19.4942	−	1.88307i	1.14081	−	0.110198i
$293$	−6.63836	−	6.63836i	−0.387817	−	0.387817i	0.486091	−	0.873908i	$-0.338422\pi$
$293$	−6.63836	−	6.63836i	−0.387817	−	0.387817i	−0.873908	+	0.486091i	$0.838422\pi$
$294$	−0.150849	+	1.01041i	−0.00879770	+	0.0589281i
$295$	0.279338	−	2.45357i	0.0162637	−	0.142852i
$296$	3.84025	+	1.82955i	0.223210	+	0.106341i
$297$		−	0.825554i		−	0.0479035i
$298$	12.4284	+	7.46517i	0.719958	+	0.432445i
$299$	−17.0618	−	7.06723i	−0.986710	−	0.408709i
$300$	−0.351962	−	0.0461668i	−0.0203205	−	0.00266544i
$301$	−24.7798	+	10.2641i	−1.42828	+	0.591615i
$302$	8.28687	+	33.2153i	0.476856	+	1.91132i
$303$	−0.195523	+	0.472035i	−0.0112325	+	0.0271177i
$304$	−2.85180	−	14.6237i	−0.163562	−	0.838727i
$305$	−5.25085	−	18.3060i	−0.300663	−	1.04820i
$306$	11.2271	+	13.4051i	0.641810	+	0.766316i
$307$	−4.28651	+	4.28651i	−0.244644	+	0.244644i	−0.818768	−	0.574124i	$-0.805343\pi$
$307$	−4.28651	+	4.28651i	−0.244644	+	0.244644i	0.574124	+	0.818768i	$0.305343\pi$
$308$	−19.0482	−	35.7981i	−1.08537	−	2.03979i
$309$	−0.275910	+	0.114285i	−0.0156959	+	0.00650147i
$310$	−3.01600	−	5.22100i	−0.171297	−	0.296533i
$311$	9.49060	−	3.93114i	0.538163	−	0.222914i	−0.0970114	−	0.995283i	$-0.530928\pi$
$311$	9.49060	−	3.93114i	0.538163	−	0.222914i	0.635174	+	0.772369i	$0.280928\pi$
$312$	0.179861	+	0.507174i	0.0101826	+	0.0287131i
$313$	13.8540	−	5.73853i	0.783077	−	0.324361i	0.0449203	−	0.998991i	$-0.485697\pi$
$313$	13.8540	−	5.73853i	0.783077	−	0.324361i	0.738156	+	0.674630i	$0.235697\pi$
$314$	−0.0203326	−	0.0814967i	−0.00114743	−	0.00459913i
$315$	9.66876	+	33.7082i	0.544773	+	1.89924i
$316$	0.560473	+	5.80222i	0.0315291	+	0.326400i
$317$	−9.26650	−	22.3713i	−0.520459	−	1.25650i	−0.937619	−	0.347665i	$-0.886975\pi$
$317$	−9.26650	−	22.3713i	−0.520459	−	1.25650i	0.417160	−	0.908833i	$-0.363025\pi$
$318$	0.145723	−	0.107864i	0.00817176	−	0.00604871i
$319$			14.3967i			0.806058i
$320$	9.62657	+	15.0774i	0.538141	+	0.842855i
$321$	0.0559095	+	0.0559095i	0.00312056	+	0.00312056i
$322$	−6.16892	−	24.7262i	−0.343780	−	1.37793i
$323$	14.5156	+	5.01561i	0.807671	+	0.279076i
$324$	15.8705	−	8.44467i	0.881692	−	0.469149i
$325$	−22.7238	+	14.2048i	−1.26049	+	0.787938i
$326$	−2.93189	+	19.6382i	−0.162382	+	1.08766i
$327$	0.344053	−	0.344053i	0.0190262	−	0.0190262i
$328$	1.31837	−	2.76728i	0.0727950	−	0.152797i
$329$	1.47067	−	3.55050i	0.0810804	−	0.195745i
$330$	0.345327	+	0.264849i	0.0190096	+	0.0145795i
$331$	13.4516	−	13.4516i	0.739365	−	0.739365i	−0.233090	−	0.972455i	$-0.574884\pi$
$331$	13.4516	−	13.4516i	0.739365	−	0.739365i	0.972455	+	0.233090i	$0.0748837\pi$
$332$	−1.79212	+	0.953589i	−0.0983555	+	0.0523350i
$333$	1.72588	+	4.16664i	0.0945776	+	0.228331i
$334$	−5.55341	+	4.11062i	−0.303869	+	0.224923i
$335$	18.5154	+	2.10797i	1.01160	+	0.115171i
$336$	−0.414867	+	0.615875i	−0.0226329	+	0.0335987i
$337$	−2.53800	+	6.12728i	−0.138254	+	0.333774i	−0.977808	−	0.209501i	$-0.932816\pi$
$337$	−2.53800	+	6.12728i	−0.138254	+	0.333774i	0.839555	+	0.543275i	$0.182816\pi$
$338$	19.0648	+	11.4514i	1.03699	+	0.622872i
$339$			0.367108i			0.0199386i
$340$	−18.4221	+	0.791648i	−0.999078	+	0.0429331i
$341$			7.39210i			0.400305i
$342$	8.13365	−	13.5413i	0.439817	−	0.732231i
$343$	−26.7182	+	64.5034i	−1.44265	+	3.48286i
$344$	−14.4865	−	0.752569i	−0.781057	−	0.0405758i
$345$	0.170276	+	0.214030i	0.00916738	+	0.0115230i
$346$	10.4225	+	14.0807i	0.560317	+	0.756984i
$347$	10.9428	+	26.4182i	0.587438	+	1.41820i	0.885943	+	0.463794i	$0.153512\pi$
$347$	10.9428	+	26.4182i	0.587438	+	1.41820i	−0.298505	+	0.954408i	$0.596488\pi$
$348$	0.232740	−	0.123841i	0.0124762	−	0.00663857i
$349$	11.3173	−	11.3173i	0.605801	−	0.605801i	−0.336045	−	0.941846i	$-0.609089\pi$
$349$	11.3173	−	11.3173i	0.605801	−	0.605801i	0.941846	+	0.336045i	$0.109089\pi$
$350$	−34.4111	−	13.5421i	−1.83935	−	0.723854i
$351$	−0.436753	+	1.05441i	−0.0233121	+	0.0562805i
$352$	−0.973299	−	21.9095i	−0.0518770	−	1.16778i
$353$	−3.74286	+	3.74286i	−0.199213	+	0.199213i	−0.799662	−	0.600450i	$-0.794988\pi$
$353$	−3.74286	+	3.74286i	−0.199213	+	0.199213i	0.600450	+	0.799662i	$0.294988\pi$
$354$	0.0548324	+	0.00818623i	0.00291431	+	0.000435093i
$355$	−16.1321	+	29.1089i	−0.856204	+	1.54494i
$356$	12.2190	+	22.9636i	0.647603	+	1.21707i
$357$	−0.334801	−	0.688323i	−0.0177196	−	0.0364299i
$358$	−12.2172	+	3.04805i	−0.645697	+	0.161095i
$359$	−10.8900	−	10.8900i	−0.574751	−	0.574751i	0.358701	−	0.933452i	$-0.383220\pi$
$359$	−10.8900	−	10.8900i	−0.574751	−	0.574751i	−0.933452	+	0.358701i	$0.883220\pi$
$360$	−3.12011	+	18.7073i	−0.164444	+	0.985961i
$361$			5.12591i			0.269785i
$362$	17.0666	+	23.0568i	0.897000	+	1.21184i
$363$	−0.0547506	−	0.132180i	−0.00287366	−	0.00693763i
$364$	5.39002	+	55.7994i	0.282514	+	2.92468i
$365$	−21.0478	+	6.03731i	−1.10169	+	0.316007i
$366$	0.414840	−	0.103498i	0.0216840	−	0.00540994i
$367$	−20.7069	+	8.57708i	−1.08089	+	0.447720i	−0.850822	−	0.525454i	$-0.823895\pi$
$367$	−20.7069	+	8.57708i	−1.08089	+	0.447720i	−0.230070	+	0.973174i	$0.573895\pi$
$368$	2.73960	−	13.5077i	0.142812	−	0.704136i
$369$	3.00247	−	1.24367i	0.156303	−	0.0647426i
$370$	−4.59413	−	1.22983i	−0.238837	−	0.0639356i
$371$	17.4494	−	7.22776i	0.905926	−	0.375247i
$372$	0.119502	−	0.0635873i	0.00619592	−	0.00329685i
$373$	11.4203	−	11.4203i	0.591319	−	0.591319i	−0.346669	−	0.937988i	$-0.612687\pi$
$373$	11.4203	−	11.4203i	0.591319	−	0.591319i	0.937988	+	0.346669i	$0.112687\pi$
$374$	20.0422	+	10.4568i	1.03636	+	0.540710i
$375$	0.396327	−	0.0208719i	0.0204662	−	0.00107782i
$376$	1.54395	−	1.39146i	0.0796233	−	0.0717590i
$377$	7.61643	−	18.3877i	0.392266	−	0.947015i
$378$	−1.52807	+	0.381237i	−0.0785954	+	0.0196087i
$379$	14.5914	−	6.04396i	0.749510	−	0.310457i	0.0249686	−	0.999688i	$-0.492051\pi$
$379$	14.5914	−	6.04396i	0.749510	−	0.310457i	0.724542	+	0.689231i	$0.242051\pi$
$380$	6.11113	+	15.4963i	0.313495	+	0.794944i
$381$	−0.144372	−	0.0598009i	−0.00739641	−	0.00306369i
$382$	−9.58722	+	15.9613i	−0.490525	+	0.816652i
$383$		−	6.72506i		−	0.343635i	−0.985129	−	0.171817i	$-0.945036\pi$
$383$		−	6.72506i		−	0.343635i	0.985129	−	0.171817i	$-0.0549639\pi$
$384$	−0.345822	+	0.204201i	−0.0176476	+	0.0104206i
$385$	28.2258	+	35.4785i	1.43852	+	1.80815i
$386$	16.2128	+	2.42049i	0.825207	+	0.123200i
$387$	−10.8749	−	10.8749i	−0.552803	−	0.552803i
$388$	−2.11960	−	21.9429i	−0.107607	−	1.11398i
$389$	−5.32951	−	5.32951i	−0.270217	−	0.270217i	0.558971	−	0.829187i	$-0.311196\pi$
$389$	−5.32951	−	5.32951i	−0.270217	−	0.270217i	−0.829187	+	0.558971i	$0.811196\pi$
$390$	−0.300943	−	0.520963i	−0.0152388	−	0.0263800i
$391$	10.6302	+	9.42520i	0.537591	+	0.476653i
$392$	−42.7571	+	38.5340i	−2.15956	+	1.94626i
$393$			0.516348i			0.0260463i
$394$	1.28382	−	8.59919i	0.0646779	−	0.433221i
$395$	−1.79694	−	6.26465i	−0.0904137	−	0.315209i
$396$	14.7844	−	17.9461i	0.742945	−	0.901824i
$397$	0.408176	+	0.985424i	0.0204858	+	0.0494570i	0.933791	−	0.357818i	$-0.116479\pi$
$397$	0.408176	+	0.985424i	0.0204858	+	0.0494570i	−0.913306	+	0.407275i	$0.866479\pi$
$398$	−20.5454	−	3.06733i	−1.02985	−	0.153751i
$399$	−0.488953	+	0.488953i	−0.0244783	+	0.0244783i
$400$	−13.6514	−	14.6164i	−0.682568	−	0.730822i
$401$	−5.38206	+	12.9934i	−0.268767	+	0.648862i	−0.999426	−	0.0338813i	$-0.989213\pi$
$401$	−5.38206	+	12.9934i	−0.268767	+	0.648862i	0.730658	+	0.682743i	$0.239213\pi$
$402$	−0.0617759	+	0.413783i	−0.00308110	+	0.0206376i
$403$	3.91073	−	9.44134i	0.194807	−	0.470307i
$404$	−25.4129	+	13.5222i	−1.26434	+	0.672754i
$405$	−15.7288	+	12.5134i	−0.781569	+	0.621797i
$406$	26.6476	−	6.64831i	1.32250	−	0.329950i
$407$	4.12290	+	4.12290i	0.204364	+	0.204364i
$408$	−0.00335605	−	0.413957i	−0.000166149	−	0.0204939i
$409$			20.9865i			1.03772i	0.854860	+	0.518858i	$0.173643\pi$
$409$			20.9865i			1.03772i	−0.854860	+	0.518858i	$0.826357\pi$
$410$	−0.886210	+	3.31052i	−0.0437668	+	0.163495i
$411$	−0.442830	+	0.183426i	−0.0218432	+	0.00904776i
$412$	−16.0923	−	4.91455i	−0.792811	−	0.242123i
$413$	5.33587	+	2.21019i	0.262561	+	0.108756i
$414$	11.7451	−	8.69370i	0.577241	−	0.427272i
$415$	1.77612	−	1.41304i	0.0871865	−	0.0693634i
$416$	−10.3479	+	28.4982i	−0.507349	+	1.39724i
$417$			0.286705i			0.0140400i
$418$	3.01552	−	20.1983i	0.147494	−	0.987933i
$419$	7.05984	−	17.0440i	0.344896	−	0.832652i	−0.652310	−	0.757952i	$-0.726200\pi$
$419$	7.05984	−	17.0440i	0.344896	−	0.832652i	0.997206	−	0.0747001i	$-0.0237999\pi$
$420$	0.330754	−	0.761494i	0.0161392	−	0.0371571i
$421$	−21.0532			−1.02607			−0.513035	−	0.858368i	$-0.671479\pi$
$421$	−21.0532			−1.02607			−0.513035	+	0.858368i	$0.671479\pi$
$422$	−13.5224	−	18.2687i	−0.658262	−	0.889307i
$423$	2.20360			0.107143
$424$	10.2010	+	0.529941i	0.495406	+	0.0257362i
$425$	20.0913	−	4.61928i	0.974574	−	0.224068i
$426$	−0.640504	−	0.384721i	−0.0310325	−	0.0186398i
$427$	44.5408			2.15548
$428$	0.428326	+	4.43419i	0.0207039	+	0.214334i
$429$			0.737601i			0.0356117i
$430$	16.0789	−	2.12071i	0.775395	−	0.102270i
$431$	10.4544	−	25.2391i	0.503570	−	1.21573i	−0.443957	−	0.896048i	$-0.646426\pi$
$431$	10.4544	−	25.2391i	0.503570	−	1.21573i	0.947527	−	0.319677i	$-0.103574\pi$
$432$	−0.834769	−	0.169306i	−0.0401629	−	0.00814576i
$433$	10.3594			0.497843			0.248921	−	0.968524i	$-0.419924\pi$
$433$	10.3594			0.497843			0.248921	+	0.968524i	$0.419924\pi$
$434$	13.6825	−	3.41364i	0.656781	−	0.163860i
$435$	−0.230662	+	0.183509i	−0.0110594	+	0.00879857i
$436$	27.2868	−	2.63581i	1.30680	−	0.126232i
$437$	4.91152	−	11.8575i	0.234950	−	0.567219i
$438$	−0.119000	−	0.476973i	−0.00568604	−	0.0227907i
$439$	16.5053	−	6.83673i	0.787756	−	0.326299i	0.0477150	−	0.998861i	$-0.484806\pi$
$439$	16.5053	−	6.83673i	0.787756	−	0.326299i	0.740041	+	0.672562i	$0.234806\pi$
$440$	5.52868	+	23.8883i	0.263569	+	1.13883i
$441$	−61.0249			−2.90595
$442$	−20.0662	−	23.9588i	−0.954450	−	1.13961i
$443$	−12.3296	−	12.3296i	−0.585796	−	0.585796i	0.350694	−	0.936490i	$-0.385946\pi$
$443$	−12.3296	−	12.3296i	−0.585796	−	0.585796i	−0.936490	+	0.350694i	$0.885946\pi$
$444$	0.0311863	−	0.102117i	0.00148004	−	0.00484627i
$445$	−18.1062	−	22.7586i	−0.858316	−	1.07886i
$446$	9.52152	−	15.8519i	0.450857	−	0.750611i
$447$	0.139263	−	0.336210i	0.00658690	−	0.0159022i
$448$	−40.1042	+	11.9193i	−1.89474	+	0.563132i
$449$	−9.69145	−	4.01433i	−0.457368	−	0.189448i	0.142091	−	0.989854i	$-0.454617\pi$
$449$	−9.69145	−	4.01433i	−0.457368	−	0.189448i	−0.599459	+	0.800406i	$0.704617\pi$
$450$	−0.376895	−	21.2009i	−0.0177670	−	0.999422i
$451$	2.97095	−	2.97095i	0.139897	−	0.139897i
$452$	−13.1515	+	15.9639i	−0.618593	+	0.750879i
$453$	0.793872	−	0.328832i	0.0372993	−	0.0154499i
$454$	−1.65604	+	11.0924i	−0.0777220	+	0.520592i
$455$	−17.2810	−	60.2466i	−0.810144	−	2.82440i
$456$	−0.352471	+	0.124998i	−0.0165060	+	0.00585356i
$457$	−22.4971			−1.05237			−0.526184	−	0.850371i	$-0.676378\pi$
$457$	−22.4971			−1.05237			−0.526184	+	0.850371i	$0.676378\pi$
$458$	4.74324	+	19.0118i	0.221637	+	0.888361i
$459$	0.582474	−	0.656941i	0.0271876	−	0.0306634i
$460$	−0.262933	+	15.4073i	−0.0122593	+	0.718367i
$461$	−23.8882	+	23.8882i	−1.11259	+	1.11259i	−0.119787	+	0.992800i	$0.538221\pi$
$461$	−23.8882	+	23.8882i	−1.11259	+	1.11259i	−0.992800	+	0.119787i	$0.961779\pi$
$462$	−0.818107	+	0.605560i	−0.0380618	+	0.0281732i
$463$	14.5492	+	14.5492i	0.676157	+	0.676157i	0.959128	−	0.282971i	$-0.0913202\pi$
$463$	14.5492	+	14.5492i	0.676157	+	0.676157i	−0.282971	+	0.959128i	$0.591320\pi$
$464$	14.5574	+	2.95250i	0.675808	+	0.137066i
$465$	−0.118436	+	0.0942244i	−0.00549232	+	0.00436955i
$466$	15.9390	+	21.5335i	0.738360	+	0.997518i
$467$		−	26.8827i		−	1.24398i	−0.783024	−	0.621992i	$-0.786324\pi$
$467$		−	26.8827i		−	1.24398i	0.783024	−	0.621992i	$-0.213676\pi$
$468$	−28.3772	+	15.0995i	−1.31174	+	0.697975i
$469$	−16.6788	+	40.2661i	−0.770154	+	1.85932i
$470$	−1.41419	+	1.84391i	−0.0652316	+	0.0850532i
$471$	−0.00194784		0.000806821i	−8.97516e−5		3.71763e-5i
$472$	2.09115	+	2.32033i	0.0962531	+	0.106802i
$473$	−18.3697	−	7.60900i	−0.844642	−	0.349862i
$474$	0.141966	−	0.0354190i	0.00652070	−	0.00162685i
$475$	−9.87188	−	15.7923i	−0.452953	−	0.724602i
$476$	10.0998	−	41.9262i	0.462925	−	1.92168i
$477$	7.65787	+	7.65787i	0.350630	+	0.350630i
$478$	−1.99875	+	3.32763i	−0.0914207	+	0.152202i
$479$	26.2147	−	10.8585i	1.19778	−	0.496138i	0.307501	−	0.951548i	$-0.400507\pi$
$479$	26.2147	−	10.8585i	1.19778	−	0.496138i	0.890282	+	0.455410i	$0.150507\pi$
$480$	0.338626	−	0.294866i	0.0154561	−	0.0134587i
$481$	−3.08466	−	7.44703i	−0.140648	−	0.339556i
$482$	−3.74271	+	25.0691i	−0.170476	+	1.14187i
$483$	−0.590975	+	0.244790i	−0.0268903	+	0.0111383i
$484$	2.35441	−	7.70932i	0.107019	−	0.350424i
$485$	6.79567	+	23.6917i	0.308576	+	1.07579i
$486$	−0.805958	−	1.08884i	−0.0365590	−	0.0493909i
$487$	3.55300	+	8.57770i	0.161002	+	0.388693i	0.983708	−	0.179774i	$-0.0575368\pi$
$487$	3.55300	+	8.57770i	0.161002	+	0.388693i	−0.822706	+	0.568467i	$0.807537\pi$
$488$	21.7473	+	10.3607i	0.984454	+	0.469009i
$489$	0.498395			0.0225382
$490$	39.1635	−	51.0639i	1.76923	−	2.30683i
$491$	23.0290	+	23.0290i	1.03929	+	1.03929i	0.999196	+	0.0400892i	$0.0127642\pi$
$491$	23.0290	+	23.0290i	1.03929	+	1.03929i	0.0400892	+	0.999196i	$0.487236\pi$
$492$	−0.0735854	−	0.0224728i	−0.00331749	−	0.00101315i
$493$	−10.1576	+	11.4563i	−0.457477	+	0.515964i
$494$	−14.5373	+	24.2024i	−0.654062	+	1.08892i
$495$	−12.6013	+	22.7378i	−0.566384	+	1.02199i
$496$	7.47462	+	1.51599i	0.335620	+	0.0680699i
$497$	−55.0385	−	55.0385i	−2.46882	−	2.46882i
$498$	0.0303155	+	0.0409560i	0.00135847	+	0.00183528i
$499$	3.75111	−	9.05598i	0.167923	−	0.405401i	−0.817408	−	0.576060i	$-0.804590\pi$
$499$	3.75111	−	9.05598i	0.167923	−	0.405401i	0.985330	+	0.170659i	$0.0545895\pi$
$500$	17.9822	+	13.2906i	0.804189	+	0.594373i
$501$	0.122631	+	0.122631i	0.00547875	+	0.00547875i
$502$	21.7460	+	13.0618i	0.970574	+	0.582978i
$503$	−2.23968	−	5.40706i	−0.0998624	−	0.241089i	0.866050	−	0.499957i	$-0.166651\pi$
$503$	−2.23968	−	5.40706i	−0.0998624	−	0.241089i	−0.965913	+	0.258867i	$0.916651\pi$
$504$	−40.0449	−	19.0780i	−1.78374	−	0.849800i
$505$	25.1860	−	20.0373i	1.12076	−	0.891650i
$506$	9.72755	−	16.1949i	0.432442	−	0.719953i
$507$	0.213625	−	0.515736i	0.00948742	−	0.0229047i
$508$	−4.13577	−	7.77253i	−0.183495	−	0.344850i
$509$	16.3006			0.722510			0.361255	−	0.932467i	$-0.382348\pi$
$509$	16.3006			0.722510			0.361255	+	0.932467i	$0.382348\pi$
$510$	0.0879315	+	0.454404i	0.00389367	+	0.0201213i
$511$		−	51.2120i		−	2.26549i
$512$	−22.3537	−	3.50908i	−0.987902	−	0.155081i
$513$	−0.732787	−	0.303530i	−0.0323533	−	0.0134012i
$514$	4.51955	−	7.52438i	0.199349	−	0.331886i
$515$	18.6913	+	2.12800i	0.823638	+	0.0937708i
$516$	0.0350087	+	0.362423i	0.00154117	+	0.0159548i
$517$	2.63205	−	1.09023i	0.115758	−	0.0479484i
$518$	5.72739	−	9.53526i	0.251647	−	0.418955i
$519$	0.310932	−	0.310932i	0.0136484	−	0.0136484i
$520$	5.57657	−	33.4355i	0.244549	−	1.46624i
$521$	−1.82662	−	0.756612i	−0.0800258	−	0.0331478i	0.342311	−	0.939587i	$-0.388790\pi$
$521$	−1.82662	−	0.756612i	−0.0800258	−	0.0331478i	−0.422337	+	0.906439i	$0.638790\pi$
$522$	9.36929	+	12.6578i	0.410083	+	0.554019i
$523$	13.6333	−	13.6333i	0.596144	−	0.596144i	−0.343140	−	0.939284i	$-0.611490\pi$
$523$	13.6333	−	13.6333i	0.596144	−	0.596144i	0.939284	+	0.343140i	$0.111490\pi$
$524$	−18.4979	+	22.4537i	−0.808085	+	0.980893i
$525$	−0.208650	+	0.904464i	−0.00910623	+	0.0394740i
$526$	32.8524	+	19.7329i	1.43243	+	0.860396i
$527$	−5.21554	+	5.88233i	−0.227192	+	0.256238i
$528$	−0.540307	+	0.105367i	−0.0235138	+	0.00458549i
$529$	−7.86823	+	7.86823i	−0.342097	+	0.342097i
$530$	−11.3224	+	1.49336i	−0.491814	+	0.0648673i
$531$			3.31168i			0.143715i
$532$	−38.7789	+	3.74590i	−1.68128	+	0.162405i
$533$	−5.36632	+	2.22280i	−0.232441	+	0.0962802i
$534$	0.524797	−	0.388453i	0.0227102	−	0.0168100i
$535$	−1.37326	−	4.78759i	−0.0593711	−	0.206985i
$536$	−17.5099	+	15.7805i	−0.756313	+	0.681613i
$537$	0.120950	+	0.292000i	0.00521939	+	0.0126007i
$538$	4.22755	−	28.3167i	0.182262	−	1.22082i
$539$	−72.8902	+	30.1921i	−3.13960	+	1.30047i
$540$	0.952164	+	0.0162492i	0.0409746	+	0.000699254i
$541$	−2.62610	−	6.33997i	−0.112905	−	0.272576i	0.857319	−	0.514785i	$-0.172128\pi$
$541$	−2.62610	−	6.33997i	−0.112905	−	0.272576i	−0.970224	+	0.242208i	$0.922128\pi$
$542$	0.770482	+	0.462793i	0.0330950	+	0.0198787i
$543$	0.509143	−	0.509143i	0.0218494	−	0.0218494i
$544$	14.6839	−	18.1214i	0.629565	−	0.776948i
$545$	−29.4616	+	8.45068i	−1.26200	+	0.361987i
$546$	1.36527	−	0.340621i	0.0584282	−	0.0145772i
$547$	−8.22001	+	19.8449i	−0.351462	+	0.848505i	0.644978	+	0.764201i	$0.276867\pi$
$547$	−8.22001	+	19.8449i	−0.351462	+	0.848505i	−0.996440	+	0.0843035i	$0.973133\pi$
$548$	−25.8279	−	7.88778i	−1.10331	−	0.336949i
$549$	9.77363	+	23.5956i	0.417129	+	1.00704i
$550$	−10.9394	−	25.1366i	−0.466456	−	1.07183i
$551$	12.7789	+	5.29320i	0.544400	+	0.225498i
$552$	−0.345488	−	0.0179481i	−0.0147050	−	0.000763920i
$553$	15.2427			0.648184
$554$	9.07875	+	12.2653i	0.385719	+	0.521103i
$555$	−0.0135037	+	0.118610i	−0.000573199	+	0.00503470i
$556$	−10.2711	+	12.4675i	−0.435590	+	0.528741i
$557$	−0.937247	+	0.937247i	−0.0397124	+	0.0397124i	−0.726684	−	0.686972i	$-0.758940\pi$
$557$	−0.937247	+	0.937247i	−0.0397124	+	0.0397124i	0.686972	+	0.726684i	$0.258940\pi$
$558$	4.81075	+	6.49929i	0.203655	+	0.275137i
$559$	19.4367	+	19.4367i	0.822086	+	0.822086i
$560$	41.6632	−	21.2649i	1.76059	−	0.898605i
$561$	0.185313	−	0.536313i	0.00782394	−	0.0226432i
$562$	−7.74988	−	31.0629i	−0.326909	−	1.31031i
$563$			11.7967i			0.497172i	0.968610	+	0.248586i	$0.0799659\pi$
$563$			11.7967i			0.497172i	−0.968610	+	0.248586i	$0.920034\pi$
$564$	−0.0402661	−	0.0331722i	−0.00169551	−	0.00139680i
$565$	11.2094	−	20.2264i	0.471585	−	0.850932i
$566$	18.1255	+	2.70606i	0.761873	+	0.113744i
$567$	−17.9893	−	43.4301i	−0.755481	−	1.82389i
$568$	−14.0702	−	39.6756i	−0.590374	−	1.66475i
$569$	1.96457	+	1.96457i	0.0823591	+	0.0823591i	0.747086	−	0.664727i	$-0.231452\pi$
$569$	1.96457	+	1.96457i	0.0823591	+	0.0823591i	−0.664727	+	0.747086i	$0.731452\pi$
$570$	0.362054	−	0.209146i	0.0151648	−	0.00876018i
$571$	−4.06255	+	9.80786i	−0.170012	+	0.410446i	−0.985804	−	0.167900i	$-0.946302\pi$
$571$	−4.06255	+	9.80786i	−0.170012	+	0.410446i	0.815792	+	0.578346i	$0.196302\pi$
$572$	−26.4242	+	32.0750i	−1.10485	+	1.34112i
$573$	0.431781	+	0.178850i	0.0180379	+	0.00747155i
$574$	−6.87109	−	4.12714i	−0.286794	−	0.172264i
$575$	−2.84638	−	16.9916i	−0.118702	−	0.708598i
$576$	−15.1144	−	18.6299i	−0.629765	−	0.776245i
$577$	−23.6219	+	23.6219i	−0.983392	+	0.983392i	−0.999864	−	0.0164720i	$-0.994757\pi$
$577$	−23.6219	+	23.6219i	−0.983392	+	0.983392i	0.0164720	+	0.999864i	$0.494757\pi$
$578$	8.57083	+	22.4620i	0.356500	+	0.934295i
$579$		−	0.411461i		−	0.0170997i
$580$	−16.6046	−	0.283366i	−0.689467	−	0.0117661i
$581$	2.03139	+	4.90421i	0.0842762	+	0.203461i
$582$	−0.536888	+	0.133948i	−0.0222547	+	0.00555232i
$583$	12.9356	+	5.35808i	0.535736	+	0.221909i
$584$	11.9126	−	25.0046i	0.492945	−	1.03470i
$585$	28.1239	−	22.3746i	1.16278	−	0.925077i
$586$	−12.8818	+	3.21389i	−0.532144	+	0.132765i
$587$		−	13.4282i		−	0.554240i	−0.960835	−	0.277120i	$-0.910620\pi$
$587$		−	13.4282i		−	0.554240i	0.960835	−	0.277120i	$-0.0893799\pi$
$588$	1.11510	+	0.918646i	0.0459859	+	0.0378843i
$589$	6.56145	+	2.71784i	0.270360	+	0.111987i
$590$	−2.77112	−	2.12531i	−0.114085	−	0.0874976i
$591$	−0.218238			−0.00897710
$592$	5.01445	−	3.32339i	0.206093	−	0.136590i
$593$		−	7.75557i		−	0.318483i	−0.987240	−	0.159242i	$-0.949095\pi$
$593$		−	7.75557i		−	0.318483i	0.987240	−	0.159242i	$-0.0509049\pi$
$594$	−1.00084	−	0.601159i	−0.0410651	−	0.0246659i
$595$	−2.57115	+	48.1472i	−0.105407	+	1.97384i
$596$	18.1005	−	9.63126i	0.741424	−	0.394512i
$597$			0.521418i			0.0213402i
$598$	−20.9920	+	15.5382i	−0.858428	+	0.635406i
$599$		−	11.7777i		−	0.481224i	−0.970621	−	0.240612i	$-0.922652\pi$
$599$		−	11.7777i		−	0.481224i	0.970621	−	0.240612i	$-0.0773481\pi$
$600$	−0.312264	+	0.393075i	−0.0127481	+	0.0160472i
$601$	−34.4961	−	14.2888i	−1.40713	−	0.582850i	−0.455535	−	0.890218i	$-0.650552\pi$
$601$	−34.4961	−	14.2888i	−1.40713	−	0.582850i	−0.951591	+	0.307368i	$0.900552\pi$
$602$	−5.60089	+	37.5155i	−0.228275	+	1.52902i
$603$	−24.9910			−1.01771
$604$	46.3022	+	14.1406i	1.88401	+	0.575373i
$605$	−1.01946	+	8.95443i	−0.0414468	+	0.364049i
$606$	0.429884	+	0.580769i	0.0174628	+	0.0235921i
$607$	−2.53779	+	6.12678i	−0.103006	+	0.248678i	−0.966977	−	0.254863i	$-0.917970\pi$
$607$	−2.53779	+	6.12678i	−0.103006	+	0.248678i	0.863971	+	0.503541i	$0.167970\pi$
$608$	−19.8054	−	7.19150i	−0.803214	−	0.291654i
$609$	−0.263813	−	0.636900i	−0.0106902	−	0.0258085i
$610$	−26.0165	−	6.96449i	−1.05338	−	0.281984i
$611$	−3.93849			−0.159334
$612$	24.4268	−	3.84950i	0.987394	−	0.155607i
$613$	29.1967	−	29.1967i	1.17924	−	1.17924i	0.199306	−	0.979937i	$-0.436131\pi$
$613$	29.1967	−	29.1967i	1.17924	−	1.17924i	0.979937	−	0.199306i	$-0.0638687\pi$
$614$	2.07527	+	8.31805i	0.0837510	+	0.335689i
$615$	0.0854700	+	0.00973072i	0.00344648	+	0.000392380i
$616$	−57.2698	−	2.97515i	−2.30746	−	0.119872i
$617$	12.6915	+	5.25700i	0.510942	+	0.211639i	0.623233	−	0.782036i	$-0.285819\pi$
$617$	12.6915	+	5.25700i	0.510942	+	0.211639i	−0.112291	+	0.993675i	$0.535819\pi$
$618$	−0.0623628	+	0.417714i	−0.00250860	+	0.0168029i
$619$	−13.9224	−	5.76687i	−0.559590	−	0.231790i	0.0849170	−	0.996388i	$-0.472937\pi$
$619$	−13.9224	−	5.76687i	−0.559590	−	0.231790i	−0.644507	+	0.764598i	$0.722937\pi$
$620$	−8.52578	−	0.145497i	−0.342404	−	0.00584330i
$621$	−0.518822	−	0.518822i	−0.0208196	−	0.0208196i
$622$	2.14513	−	14.3683i	0.0860117	−	0.576118i
$623$	62.8408	−	26.0295i	2.51766	−	1.04285i
$624$	0.745834	+	0.151269i	0.0298573	+	0.00605560i
$625$	−22.4736	−	10.9516i	−0.898943	−	0.438066i
$626$	3.13138	−	20.9744i	0.125155	−	0.838305i
$627$	−0.512611			−0.0204717
$628$	−0.113607	−	0.0346953i	−0.00453340	−	0.00138449i
$629$	0.371896	+	6.18976i	0.0148284	+	0.246802i
$630$	47.9060	+	12.8242i	1.90862	+	0.510929i
$631$	−26.2239	+	26.2239i	−1.04396	+	1.04396i	−0.0449669	+	0.998988i	$0.514318\pi$
$631$	−26.2239	+	26.2239i	−1.04396	+	1.04396i	−0.998988	+	0.0449669i	$0.985682\pi$
$632$	7.44233	+	3.54564i	0.296040	+	0.141038i
$633$	−0.403411	+	0.403411i	−0.0160342	+	0.0160342i
$634$	−33.8691	−	5.05651i	−1.34512	−	0.200820i
$635$	6.12843	+	7.70314i	0.243199	+	0.305690i
$636$	−0.0246523	−	0.255210i	−0.000977529	−	0.0101197i
$637$	109.070			4.32150
$638$	17.4535	+	10.4835i	0.690989	+	0.415045i
$639$	17.0797	−	41.2340i	0.675662	−	1.63119i
$640$	25.2888	−	0.691328i	0.999627	−	0.0273272i
$641$	−4.18843	−	10.1118i	−0.165433	−	0.399390i	0.819323	−	0.573332i	$-0.194350\pi$
$641$	−4.18843	−	10.1118i	−0.165433	−	0.399390i	−0.984756	+	0.173942i	$0.944350\pi$
$642$	0.108493	−	0.0270680i	0.00428189	−	0.00106829i
$643$	−45.3588	−	18.7882i	−1.78878	−	0.740936i	−0.990306	−	0.138902i	$-0.955643\pi$
$643$	−45.3588	−	18.7882i	−1.78878	−	0.740936i	−0.798471	−	0.602033i	$-0.794357\pi$
$644$	−34.4684	−	10.5266i	−1.35824	−	0.414805i
$645$	−0.112242	−	0.391308i	−0.00441951	−	0.0154077i
$646$	16.6507	−	13.9454i	0.655112	−	0.548674i
$647$	−4.24686	−	4.24686i	−0.166961	−	0.166961i	0.618681	−	0.785642i	$-0.287667\pi$
$647$	−4.24686	−	4.24686i	−0.166961	−	0.166961i	−0.785642	+	0.618681i	$0.787667\pi$
$648$	1.31898	−	25.3895i	0.0518145	−	0.997395i
$649$	1.63846	+	3.95558i	0.0643150	+	0.155270i
$650$	0.673624	+	37.8924i	0.0264217	+	1.48626i
$651$	−0.135457	−	0.327023i	−0.00530899	−	0.0128170i
$652$	21.6730	+	17.8547i	0.848779	+	0.699246i
$653$	2.50234	+	6.04118i	0.0979241	+	0.236410i	0.965249	−	0.261333i	$-0.0841622\pi$
$653$	2.50234	+	6.04118i	0.0979241	+	0.236410i	−0.867324	+	0.497743i	$0.834162\pi$
$654$	−0.166569	−	0.667640i	−0.00651338	−	0.0261068i
$655$	15.7664	−	28.4490i	0.616044	−	1.11159i
$656$	−2.39483	−	3.61340i	−0.0935022	−	0.141080i
$657$	27.1297	−	11.2375i	1.05843	−	0.438417i
$658$	−3.23345	−	4.36837i	−0.126053	−	0.170297i
$659$	41.3713			1.61160			0.805798	−	0.592190i	$-0.201737\pi$
$659$	41.3713			1.61160			0.805798	+	0.592190i	$0.201737\pi$
$660$	0.572548	−	0.225790i	0.0222864	−	0.00878887i
$661$	2.07225	−	2.07225i	0.0806012	−	0.0806012i	−0.665657	−	0.746258i	$-0.731849\pi$
$661$	2.07225	−	2.07225i	0.0806012	−	0.0806012i	0.746258	+	0.665657i	$0.231849\pi$
$662$	−6.51243	−	26.1030i	−0.253113	−	1.01452i
$663$	−0.520419	+	0.586952i	−0.0202114	+	0.0227953i
$664$	−0.148942	+	2.86704i	−0.00578007	+	0.111263i
$665$	41.8696	−	12.0098i	1.62363	−	0.465718i
$666$	6.30810	+	0.941771i	0.244434	+	0.0364929i
$667$	9.04763	+	9.04763i	0.350326	+	0.350326i
$668$	0.939484	+	9.72587i	0.0363497	+	0.376305i
$669$	−0.428822	−	0.177624i	−0.0165792	−	0.00686734i
$670$	16.0383	−	20.9117i	0.619612	−	0.807891i
$671$	23.3479	+	23.3479i	0.901336	+	0.901336i
$672$	0.444541	+	0.951429i	0.0171485	+	0.0367022i
$673$	−7.03847	+	2.91543i	−0.271313	+	0.112382i	−0.514192	−	0.857675i	$-0.671908\pi$
$673$	−7.03847	+	2.91543i	−0.271313	+	0.112382i	0.242879	+	0.970057i	$0.421908\pi$
$674$	5.58013	+	7.53871i	0.214938	+	0.290380i
$675$	−1.05008	+	0.175906i	−0.0404174	+	0.00677061i
$676$	27.7656	−	14.7741i	1.06791	−	0.568234i
$677$	−10.5181	−	4.35675i	−0.404244	−	0.167443i	0.171291	−	0.985220i	$-0.445206\pi$
$677$	−10.5181	−	4.35675i	−0.404244	−	0.167443i	−0.575535	+	0.817777i	$0.695206\pi$
$678$	0.445056	+	0.267324i	0.0170923	+	0.0102665i
$679$	−57.6449			−2.21221
$680$	−12.4550	+	22.9101i	−0.477629	+	0.878562i
$681$	0.281512			0.0107876
$682$	8.96165	+	5.38285i	0.343159	+	0.206120i
$683$	36.8960	+	15.2828i	1.41179	+	0.584781i	0.952782	−	0.303654i	$-0.0982067\pi$
$683$	36.8960	+	15.2828i	1.41179	+	0.584781i	0.459003	+	0.888435i	$0.348207\pi$
$684$	−10.4937	−	19.7213i	−0.401237	−	0.754063i
$685$	29.9993	+	3.41540i	1.14621	+	0.130496i
$686$	58.7434	+	79.3619i	2.24283	+	3.03005i
$687$	0.454396	−	0.188217i	0.0173363	−	0.00718093i
$688$	−11.4612	+	17.0143i	−0.436956	+	0.648665i
$689$	−13.6869	−	13.6869i	−0.521429	−	0.521429i
$690$	0.383468	−	0.0505770i	0.0145984	−	0.00192543i
$691$	34.5643	+	14.3170i	1.31489	+	0.544645i	0.926307	−	0.376770i	$-0.122965\pi$
$691$	34.5643	+	14.3170i	1.31489	+	0.544645i	0.388581	+	0.921414i	$0.372965\pi$
$692$	24.6600	−	2.38207i	0.937433	−	0.0905526i
$693$	−42.9922	−	42.9922i	−1.63314	−	1.63314i
$694$	39.9959	+	5.97120i	1.51822	+	0.226664i
$695$	8.75438	−	15.7965i	0.332073	−	0.599195i
$696$	0.0193428	−	0.372337i	0.000733188	−	0.0141134i
$697$	4.46033	−	0.267987i	0.168947	−	0.0101507i
$698$	−5.47915	−	21.9614i	−0.207389	−	0.831252i
$699$	0.475504	−	0.475504i	0.0179852	−	0.0179852i
$700$	−41.4752	+	31.8563i	−1.56762	+	1.20406i
$701$	−50.4617			−1.90591			−0.952956	−	0.303109i	$-0.901975\pi$
$701$	−50.4617			−1.90591			−0.952956	+	0.303109i	$0.901975\pi$
$702$	0.960258	+	1.29730i	0.0362426	+	0.0489635i
$703$	5.17547	−	2.14375i	0.195196	−	0.0808530i
$704$	−27.2702	−	14.7743i	−1.02779	−	0.556827i
$705$	0.0510175	+	0.0282738i	0.00192143	+	0.00106485i
$706$	1.81207	+	7.26309i	0.0681980	+	0.273350i
$707$	28.8057	+	69.5432i	1.08335	+	2.61544i
$708$	0.0498528	−	0.0605138i	0.00187358	−	0.00227425i
$709$	−12.3012	−	29.6977i	−0.461980	−	1.11532i	−0.967583	−	0.252553i	$-0.918730\pi$
$709$	−12.3012	−	29.6977i	−0.461980	−	1.11532i	0.505603	−	0.862766i	$-0.331270\pi$
$710$	23.5424	+	40.7543i	0.883529	+	1.52948i
$711$	3.34472	+	8.07486i	0.125437	+	0.302831i
$712$	36.7372	+	1.90849i	1.37678	+	0.0715237i
$713$	4.64559	+	4.64559i	0.173979	+	0.173979i
$714$	−1.07827	−	0.0953407i	−0.0403533	−	0.00356804i
$715$	22.5222	−	40.6393i	0.842283	−	1.51982i
$716$	−5.20116	+	17.0308i	−0.194376	+	0.636469i
$717$	0.0900181	+	0.0372867i	0.00336179	+	0.00139250i
$718$	−21.1322	+	5.27227i	−0.788647	+	0.196759i
$719$	1.17672	+	2.84086i	0.0438843	+	0.105946i	0.944302	−	0.329081i	$-0.106739\pi$
$719$	1.17672	+	2.84086i	0.0438843	+	0.105946i	−0.900417	+	0.435027i	$0.856739\pi$
$720$	20.4073	+	17.4050i	0.760537	+	0.648648i
$721$	−16.8373	+	40.6487i	−0.627052	+	1.51384i
$722$	6.21429	+	3.73263i	0.231272	+	0.138914i
$723$	0.636226			0.0236615
$724$	40.3801	−	3.90057i	1.50072	−	0.144964i
$725$	18.3120	−	3.06758i	0.680092	−	0.113927i
$726$	−0.200114	−	0.0298761i	−0.00742693	−	0.00110881i
$727$	−25.3538	+	25.3538i	−0.940319	+	0.940319i	−0.998317	−	0.0579975i	$-0.981528\pi$
$727$	−25.3538	+	25.3538i	−0.940319	+	0.940319i	0.0579975	+	0.998317i	$0.481528\pi$
$728$	71.5721	+	34.0980i	2.65264	+	1.26376i
$729$	19.0438	−	19.0438i	0.705325	−	0.705325i
$730$	−8.00761	+	29.9132i	−0.296375	+	1.10714i
$731$	−9.24930	−	19.0158i	−0.342098	−	0.703325i
$732$	0.176608	−	0.578288i	0.00652762	−	0.0213741i
$733$	−29.3446			−1.08387			−0.541934	−	0.840421i	$-0.682308\pi$
$733$	−29.3446			−1.08387			−0.541934	+	0.840421i	$0.682308\pi$
$734$	−4.68031	+	31.3493i	−0.172753	+	1.15712i
$735$	−1.41284	−	0.782993i	−0.0521134	−	0.0288811i
$736$	−14.3808	−	13.1574i	−0.530082	−	0.484989i
$737$	−29.8501	+	12.3643i	−1.09954	+	0.455445i
$738$	0.678638	−	4.54561i	0.0249810	−	0.167326i
$739$	−31.7089	−	31.7089i	−1.16643	−	1.16643i	−0.983040	−	0.183389i	$-0.941293\pi$
$739$	−31.7089	−	31.7089i	−1.16643	−	1.16643i	−0.183389	−	0.983040i	$-0.558707\pi$
$740$	−4.83635	+	4.67405i	−0.177788	+	0.171821i
$741$	0.654717	+	0.271193i	0.0240516	+	0.00996251i
$742$	3.94402	−	26.4175i	0.144789	−	0.969819i
$743$	−27.2977	−	11.3071i	−1.00146	−	0.414817i	−0.179125	−	0.983826i	$-0.557327\pi$
$743$	−27.2977	−	11.3071i	−1.00146	−	0.414817i	−0.822331	+	0.569010i	$0.807327\pi$
$744$	0.00993176	−	0.191180i	0.000364116	−	0.00700899i
$745$	−17.9389	+	14.2717i	−0.657230	+	0.522875i
$746$	−5.52900	−	22.1612i	−0.202431	−	0.811380i
$747$	−2.15227	+	2.15227i	−0.0787475	+	0.0787475i
$748$	27.2716	−	16.6831i	0.997149	−	0.609996i
$749$	11.6488			0.425637
$750$	0.263297	−	0.495677i	0.00961426	−	0.0180996i
$751$	−10.8333	−	26.1540i	−0.395314	−	0.954372i	−0.988762	−	0.149500i	$-0.952234\pi$
$751$	−10.8333	−	26.1540i	−0.395314	−	0.954372i	0.593448	−	0.804872i	$-0.297766\pi$
$752$	−0.562615	−	2.88502i	−0.0205165	−	0.105206i
$753$	0.243669	−	0.588268i	0.00887978	−	0.0214377i
$754$	−16.7457	−	22.6233i	−0.609843	−	0.823894i
$755$	−53.7803	−	6.12287i	−1.95727	−	0.222834i
$756$	−0.650538	+	2.13013i	−0.0236598	+	0.0774722i
$757$	−25.4847			−0.926259			−0.463129	−	0.886291i	$-0.653274\pi$
$757$	−25.4847			−0.926259			−0.463129	+	0.886291i	$0.653274\pi$
$758$	3.29804	−	22.0907i	0.119790	−	0.802371i
$759$	−0.438101	−	0.181467i	−0.0159021	−	0.00658685i
$760$	23.2367	+	3.87555i	0.842883	+	0.140581i
$761$		−	31.1534i		−	1.12931i	−0.825328	−	0.564654i	$-0.809010\pi$
$761$		−	31.1534i		−	1.12931i	0.825328	−	0.564654i	$-0.190990\pi$
$762$	−0.177629	+	0.131480i	−0.00643480	+	0.00476302i
$763$		−	71.6837i		−	2.59512i
$764$	12.3691	+	23.2457i	0.447497	+	0.841001i
$765$	−26.0704	+	9.20292i	−0.942576	+	0.332732i
$766$	−8.15298	−	4.89712i	−0.294579	−	0.176940i
$767$		−	5.91896i		−	0.213721i
$768$	−0.00426464	+	0.567947i	−0.000153887	+	0.0204940i
$769$	12.3580			0.445641			0.222820	−	0.974859i	$-0.428474\pi$
$769$	12.3580			0.445641			0.222820	+	0.974859i	$0.428474\pi$
$770$	63.5654	−	8.38388i	2.29074	−	0.302134i
$771$	−0.203548	−	0.0843121i	−0.00733059	−	0.00303643i
$772$	14.7404	−	17.8926i	0.530518	−	0.643969i
$773$		−	15.7696i		−	0.567193i	−0.958944	−	0.283596i	$-0.908472\pi$
$773$		−	15.7696i		−	0.567193i	0.958944	−	0.283596i	$-0.0915276\pi$
$774$	−21.1030	+	5.26498i	−0.758531	+	0.189246i
$775$	9.40249	−	1.57508i	0.337747	−	0.0565785i
$776$	−28.1455	−	13.4089i	−1.01036	−	0.481352i
$777$	−0.257945	−	0.106844i	−0.00925373	−	0.00383302i
$778$	−10.3420	+	2.58022i	−0.370779	+	0.0925055i
$779$	−1.54478	−	3.72943i	−0.0553475	−	0.133621i
$780$	−0.850722	−	0.0145180i	−0.0304607	−	0.000519829i
$781$		−	57.7015i		−	2.06472i
$782$	19.1672	−	6.02393i	0.685418	−	0.215415i
$783$	0.559141	−	0.559141i	0.0199821	−	0.0199821i
$784$	15.5806	+	79.8957i	0.556452	+	2.85342i
$785$	0.131955	+	0.0150230i	0.00470968	+	0.000536195i
$786$	0.625983	+	0.375999i	0.0223281	+	0.0134114i
$787$	8.26486	+	3.42342i	0.294610	+	0.122032i	0.525093	−	0.851045i	$-0.324030\pi$
$787$	8.26486	+	3.42342i	0.294610	+	0.122032i	−0.230483	+	0.973076i	$0.574030\pi$
$788$	−9.49018	−	7.81825i	−0.338074	−	0.278514i
$789$	0.368118	−	0.888715i	0.0131053	−	0.0316391i
$790$	−8.90333	−	2.38338i	−0.316766	−	0.0847967i
$791$	38.2437	+	38.2437i	1.35979	+	1.35979i
$792$	−10.9907	−	30.9917i	−0.390536	−	1.10124i
$793$	−17.4684	−	42.1725i	−0.620321	−	1.49759i
$794$	1.49189	+	0.222732i	0.0529451	+	0.00790445i
$795$	0.0790380	+	0.275550i	0.00280319	+	0.00977275i
$796$	−18.6795	+	22.6742i	−0.662079	+	0.803664i
$797$		−	6.71767i		−	0.237952i	−0.992897	−	0.118976i	$-0.962039\pi$
$797$		−	6.71767i		−	0.237952i	0.992897	−	0.118976i	$-0.0379611\pi$
$798$	0.236721	+	0.948822i	0.00837985	+	0.0335880i
$799$	2.86370	+	0.989500i	0.101310	+	0.0350060i
$800$	−27.6607	+	5.90639i	−0.977954	+	0.208822i
$801$	27.5785	+	27.5785i	0.974437	+	0.974437i
$802$	11.8332	+	15.9865i	0.417844	+	0.564504i
$803$	26.8449	−	26.8449i	0.947336	−	0.947336i
$804$	0.456656	+	0.376205i	0.0161050	+	0.0132677i
$805$	40.0352	+	4.55799i	1.41106	+	0.160648i
$806$	−8.59826	−	11.6162i	−0.302861	−	0.409162i
$807$	−0.718644			−0.0252975
$808$	−2.11204	+	40.6554i	−0.0743014	+	1.43025i
$809$	8.57280	+	3.55097i	0.301404	+	0.124845i	0.528260	−	0.849083i	$-0.322845\pi$
$809$	8.57280	+	3.55097i	0.301404	+	0.124845i	−0.226856	+	0.973928i	$0.572845\pi$
$810$	3.71684	+	28.1806i	0.130597	+	0.990165i
$811$	−19.1005	−	46.1128i	−0.670711	−	1.61924i	−0.780406	−	0.625274i	$-0.784987\pi$
$811$	−19.1005	−	46.1128i	−0.670711	−	1.61924i	0.109695	−	0.993965i	$-0.465013\pi$
$812$	11.3446	−	37.1469i	0.398117	−	1.30360i
$813$	0.00863340	−	0.0208429i	0.000302787	−	0.000730991i
$814$	8.00055	−	1.99606i	0.280419	−	0.0699617i
$815$	−27.4598	−	15.2182i	−0.961877	−	0.533070i
$816$	−0.504296	−	0.297370i	−0.0176539	−	0.0104100i
$817$	−13.5080	+	13.5080i	−0.472583	+	0.472583i
$818$	25.4426	+	15.2822i	0.889578	+	0.534328i
$819$	32.1658	+	77.6552i	1.12396	+	2.71349i
$820$	3.36811	+	3.48506i	0.117620	+	0.121704i
$821$	−18.9882	+	7.86518i	−0.662693	+	0.274497i	−0.688571	−	0.725168i	$-0.741762\pi$
$821$	−18.9882	+	7.86518i	−0.662693	+	0.274497i	0.0258780	+	0.999665i	$0.491762\pi$
$822$	−0.100091	+	0.670425i	−0.00349109	+	0.0233838i
$823$	−2.54469	−	6.14343i	−0.0887024	−	0.214147i	0.873303	−	0.487178i	$-0.161974\pi$
$823$	−2.54469	−	6.14343i	−0.0887024	−	0.214147i	−0.962005	+	0.273031i	$0.911974\pi$
$824$	−17.6763	+	15.9304i	−0.615783	+	0.554963i
$825$	−0.583485	+	0.364740i	−0.0203143	+	0.0126986i
$826$	6.56499	−	4.85939i	0.228425	−	0.169080i
$827$	−39.9962	+	16.5670i	−1.39080	+	0.576090i	−0.947348	−	0.320207i	$-0.896248\pi$
$827$	−39.9962	+	16.5670i	−1.39080	+	0.576090i	−0.443456	+	0.896296i	$0.646248\pi$
$828$	−1.98695	−	20.5696i	−0.0690512	−	0.714843i
$829$		−	29.5524i		−	1.02640i	−0.858270	−	0.513198i	$-0.828461\pi$
$829$		−	29.5524i		−	1.02640i	0.858270	−	0.513198i	$-0.171539\pi$
$830$	−0.419713	−	3.18221i	−0.0145685	−	0.110456i
$831$	0.270844	−	0.270844i	0.00939547	−	0.00939547i
$832$	27.0139	+	33.2971i	0.936538	+	1.15437i
$833$	−79.3052	−	27.4025i	−2.74776	−	0.949440i
$834$	0.347581	+	0.208776i	0.0120357	+	0.00722931i
$835$	−3.01208	−	10.5010i	−0.104237	−	0.363403i
$836$	−22.2912	−	18.3640i	−0.770956	−	0.635133i
$837$	0.287096	−	0.287096i	0.00992350	−	0.00992350i
$838$	−15.5220	−	20.9701i	−0.536198	−	0.724399i
$839$	15.3975	+	6.37787i	0.531582	+	0.220188i	0.632296	−	0.774727i	$-0.282113\pi$
$839$	15.3975	+	6.37787i	0.531582	+	0.220188i	−0.100714	+	0.994915i	$0.532113\pi$
$840$	−0.682329	−	0.955495i	−0.0235426	−	0.0329677i
$841$	10.7554	−	10.7554i	0.370875	−	0.370875i
$842$	−15.3307	+	25.5234i	−0.528331	+	0.879593i
$843$	−0.742429	+	0.307524i	−0.0255706	+	0.0105917i
$844$	−31.9946	+	3.09056i	−1.10130	+	0.106381i
$845$	−27.5177	+	21.8924i	−0.946639	+	0.753122i
$846$	1.60464	−	2.67149i	0.0551686	−	0.0918476i
$847$	−19.4735	−	8.06620i	−0.669119	−	0.277158i
$848$	8.07074	−	11.9811i	0.277150	−	0.411433i
$849$		−	0.460005i		−	0.0157873i
$850$	9.03023	−	27.7210i	0.309734	−	0.950823i
$851$	5.18210			0.177640
$852$	−0.932817	+	0.496352i	−0.0319578	+	0.0170047i
$853$	−5.43335	+	13.1173i	−0.186034	+	0.449126i	−0.989189	−	0.146643i	$-0.953153\pi$
$853$	−5.43335	+	13.1173i	−0.186034	+	0.449126i	0.803155	+	0.595770i	$0.203153\pi$
$854$	32.4341	−	53.9980i	1.10987	−	1.84778i
$855$	15.5497	+	19.5452i	0.531788	+	0.668433i
$856$	5.68759	+	2.70965i	0.194398	+	0.0926141i
$857$	−10.7028	−	25.8389i	−0.365601	−	0.882639i	−0.994460	−	0.105119i	$-0.966478\pi$
$857$	−10.7028	−	25.8389i	−0.365601	−	0.882639i	0.628859	−	0.777520i	$-0.283522\pi$
$858$	0.894215	+	0.537113i	0.0305280	+	0.0183367i
$859$	10.8606	+	10.8606i	0.370558	+	0.370558i	0.867680	−	0.497123i	$-0.165610\pi$
$859$	10.8606	+	10.8606i	0.370558	+	0.370558i	−0.497123	+	0.867680i	$0.665610\pi$
$860$	9.13751	−	21.0372i	0.311587	−	0.717364i
$861$	−0.0769919	+	0.185875i	−0.00262388	+	0.00633460i
$862$	−22.9853	−	31.0530i	−0.782883	−	1.05767i
$863$	5.63029	+	5.63029i	0.191657	+	0.191657i	0.796412	−	0.604755i	$-0.206729\pi$
$863$	5.63029	+	5.63029i	0.191657	+	0.191657i	−0.604755	+	0.796412i	$0.706729\pi$
$864$	−0.813125	+	0.888727i	−0.0276631	+	0.0302351i
$865$	−26.6254	+	7.63716i	−0.905291	+	0.259671i
$866$	7.54363	−	12.5590i	0.256343	−	0.426773i
$867$	0.525864	−	0.296027i	0.0178593	−	0.0100536i
$868$	5.82499	−	19.0735i	0.197713	−	0.647395i
$869$	7.99008	+	7.99008i	0.271045	+	0.271045i
$870$	0.0545074	+	0.413267i	0.00184797	+	0.0140111i
$871$	44.6663			1.51346
$872$	16.6745	−	35.0000i	0.564670	−	1.18525i
$873$	−12.6491	−	30.5376i	−0.428107	−	1.03354i
$874$	−10.7986	−	14.5888i	−0.365268	−	0.493475i
$875$	39.1132	−	43.4619i	1.32227	−	1.46928i
$876$	−0.664903	−	0.203060i	−0.0224650	−	0.00686076i
$877$	−0.627655	+	0.259983i	−0.0211944	+	0.00877901i	−0.393255	−	0.919429i	$-0.628651\pi$
$877$	−0.627655	+	0.259983i	−0.0211944	+	0.00877901i	0.372061	+	0.928208i	$0.378651\pi$
$878$	3.73064	−	24.9883i	0.125903	−	0.843314i
$879$	0.127531	+	0.307887i	0.00430151	+	0.0103848i
$880$	32.9864	+	10.6926i	1.11197	+	0.360448i
$881$	29.4959	−	12.2176i	0.993741	−	0.411621i	0.174243	−	0.984703i	$-0.444252\pi$
$881$	29.4959	−	12.2176i	0.993741	−	0.411621i	0.819498	+	0.573082i	$0.194252\pi$
$882$	−44.4377	+	73.9822i	−1.49629	+	2.49111i
$883$	1.43819	+	1.43819i	0.0483991	+	0.0483991i	0.730892	−	0.682493i	$-0.239104\pi$
$883$	1.43819	+	1.43819i	0.0483991	+	0.0483991i	−0.682493	+	0.730892i	$0.739104\pi$
$884$	−43.6580	+	6.88020i	−1.46838	+	0.231406i
$885$	−0.0424912	+	0.0766715i	−0.00142833	+	0.00257729i
$886$	−23.9258	+	5.96923i	−0.803802	+	0.200540i
$887$	14.9485	+	6.19185i	0.501920	+	0.207902i	0.619254	−	0.785190i	$-0.287435\pi$
$887$	14.9485	+	6.19185i	0.501920	+	0.207902i	−0.117334	+	0.993092i	$0.537435\pi$
$888$	−0.101090	−	0.112169i	−0.00339236	−	0.00376414i
$889$	−21.2698	+	8.81024i	−0.713366	+	0.295486i
$890$	−40.7757	+	5.37806i	−1.36680	+	0.180273i
$891$	13.3358	−	32.1955i	0.446767	−	1.07859i
$892$	−12.2843	−	23.0864i	−0.411308	−	0.772991i
$893$		−	2.73714i		−	0.0915947i
$894$	−0.306187	−	0.413657i	−0.0102404	−	0.0138347i
$895$	2.25210	−	19.7813i	0.0752793	−	0.661217i
$896$	−14.7534	+	57.2989i	−0.492875	+	1.91422i
$897$	0.463548	+	0.463548i	0.0154774	+	0.0154774i
$898$	−11.9239	+	8.82603i	−0.397906	+	0.294528i
$899$	−5.00661	+	5.00661i	−0.166980	+	0.166980i
$900$	−25.9770	−	14.9814i	−0.865899	−	0.499379i
$901$	6.51315	+	13.3905i	0.216984	+	0.446102i
$902$	−1.43835	−	5.76518i	−0.0478920	−	0.191960i
$903$	0.952100			0.0316839
$904$	9.77675	+	27.5687i	0.325170	+	0.916920i
$905$	−43.5984	+	12.5057i	−1.44926	+	0.415702i
$906$	0.179436	−	1.20189i	0.00596136	−	0.0399300i
$907$	10.1100	−	4.18770i	0.335697	−	0.139050i	−0.208466	−	0.978030i	$-0.566847\pi$
$907$	10.1100	−	4.18770i	0.335697	−	0.139050i	0.544163	+	0.838979i	$0.316847\pi$
$908$	12.2417	+	10.0850i	0.406256	+	0.334684i
$909$	−30.5199	+	30.5199i	−1.01228	+	1.01228i
$910$	−85.6224	−	22.9207i	−2.83836	−	0.759814i
$911$	34.2135	+	14.1717i	1.13354	+	0.469529i	0.868984	−	0.494840i	$-0.164773\pi$
$911$	34.2135	+	14.1717i	1.13354	+	0.469529i	0.264560	+	0.964369i	$0.414773\pi$
$912$	−0.105127	+	0.518333i	−0.00348111	+	0.0171637i
$913$	−1.50591	+	3.63558i	−0.0498383	+	0.120320i
$914$	−16.3821	+	27.2738i	−0.541873	+	0.902138i
$915$	−0.0764711	+	0.671686i	−0.00252806	+	0.0222052i
$916$	26.5025	+	8.09379i	0.875666	+	0.267427i
$917$	53.7907	+	53.7907i	1.77633	+	1.77633i
$918$	−0.372277	−	1.18453i	−0.0122870	−	0.0390952i
$919$	−32.5256			−1.07292			−0.536460	−	0.843926i	$-0.680239\pi$
$919$	−32.5256			−1.07292			−0.536460	+	0.843926i	$0.680239\pi$
$920$	18.4872	+	11.5382i	0.609505	+	0.380402i
$921$	0.198808	−	0.0823491i	0.00655095	−	0.00271349i
$922$	11.5652	+	46.3556i	0.380881	+	1.52664i
$923$	−30.5265	+	73.6976i	−1.00479	+	2.42578i
$924$	0.138401	+	1.43278i	0.00455306	+	0.0471349i
$925$	4.36569	−	6.12267i	0.143543	−	0.201312i
$926$	28.2329	−	7.04382i	0.927791	−	0.231474i
$927$	−25.2284			−0.828610
$928$	14.1799	−	15.4983i	0.465478	−	0.508757i
$929$	−17.3258	+	41.8282i	−0.568441	+	1.37234i	0.334428	+	0.942421i	$0.391457\pi$
$929$	−17.3258	+	41.8282i	−0.568441	+	1.37234i	−0.902869	+	0.429916i	$0.858543\pi$
$930$	0.0279873	+	0.212196i	0.000917741	+	0.00695818i
$931$			75.8002i			2.48425i
$932$	37.7122	−	3.64286i	1.23531	−	0.119326i
$933$	−0.364652			−0.0119382
$934$	−32.5907	−	19.5757i	−1.06640	−	0.640536i
$935$	−26.5862	+	23.8906i	−0.869460	+	0.781306i
$936$	−2.35841	+	45.3978i	−0.0770869	+	1.48387i
$937$	−25.7211			−0.840273			−0.420136	−	0.907461i	$-0.638018\pi$
$937$	−25.7211			−0.840273			−0.420136	+	0.907461i	$0.638018\pi$
$938$	36.6705	+	49.5415i	1.19733	+	1.61759i
$939$	−0.532306			−0.0173711
$940$	1.20563	+	3.05718i	0.0393233	+	0.0997141i
$941$	22.6193	−	54.6079i	0.737370	−	1.78017i	0.121089	−	0.992642i	$-0.461361\pi$
$941$	22.6193	−	54.6079i	0.737370	−	1.78017i	0.616281	−	0.787526i	$-0.288639\pi$
$942$	−0.000440263		0.00294894i	−1.43445e−5		9.60816e-5i
$943$		−	3.73421i		−	0.121603i
$944$	4.33575	−	0.845525i	0.141117	−	0.0275195i
$945$	0.281683	−	2.47416i	0.00916314	−	0.0804846i
$946$	−22.6013	+	16.7294i	−0.734830	+	0.543919i
$947$	−3.00773	−	1.24584i	−0.0977381	−	0.0404845i	0.333279	−	0.942828i	$-0.391845\pi$
$947$	−3.00773	−	1.24584i	−0.0977381	−	0.0404845i	−0.431017	+	0.902344i	$0.641845\pi$
$948$	0.0604385	−	0.197901i	0.00196295	−	0.00642752i
$949$	−48.4890	+	20.0848i	−1.57402	+	0.651980i
$950$	−26.3341	+	0.468149i	−0.854391	+	0.0151888i
$951$			0.859560i			0.0278731i
$952$	−43.4737	−	42.7745i	−1.40899	−	1.38633i
$953$	−9.06064	−	9.06064i	−0.293503	−	0.293503i	0.544960	−	0.838462i	$-0.316545\pi$
$953$	−9.06064	−	9.06064i	−0.293503	−	0.293503i	−0.838462	+	0.544960i	$0.816545\pi$
$954$	14.8602	−	3.70747i	0.481118	−	0.120034i
$955$	−18.3286	−	23.0382i	−0.593100	−	0.745499i
$956$	2.57871	+	4.84628i	0.0834014	+	0.156740i
$957$	0.195569	−	0.472146i	0.00632186	−	0.0152623i
$958$	5.92522	−	39.6879i	0.191435	−	1.28226i
$959$	−27.0235	+	65.2406i	−0.872635	+	2.10673i
$960$	−0.110891	−	0.625244i	−0.00357900	−	0.0201797i
$961$	19.3496	−	19.3496i	0.624181	−	0.624181i
$962$	−11.2745	−	1.68323i	−0.363503	−	0.0542694i
$963$	2.55611	+	6.17099i	0.0823694	+	0.198857i
$964$	27.6666	+	22.7925i	0.891082	+	0.734096i
$965$	−12.5637	+	22.6701i	−0.404440	+	0.729776i
$966$	−0.133576	+	0.894709i	−0.00429774	+	0.0287868i
$967$			15.3723i			0.494339i	0.968972	+	0.247169i	$0.0795004\pi$
$967$			15.3723i			0.494339i	−0.968972	+	0.247169i	$0.920500\pi$
$968$	−7.63177	−	8.46816i	−0.245294	−	0.272177i
$969$	−0.407914	−	0.361675i	−0.0131041	−	0.0116187i
$970$	33.6707	+	9.01348i	1.08110	+	0.289405i
$971$	−4.97061	−	4.97061i	−0.159515	−	0.159515i	0.622837	−	0.782352i	$-0.285980\pi$
$971$	−4.97061	−	4.97061i	−0.159515	−	0.159515i	−0.782352	+	0.622837i	$0.785980\pi$
$972$	−1.90693	+	0.184202i	−0.0611647	+	0.00590828i
$973$	29.8676	+	29.8676i	0.957512	+	0.957512i
$974$	12.9862	+	1.93879i	0.416106	+	0.0621227i
$975$	0.938202	−	0.157165i	0.0300465	−	0.00503331i
$976$	28.3968	−	18.8203i	0.908959	−	0.602423i
$977$			58.1732i			1.86112i	0.366134	+	0.930562i	$0.380681\pi$
$977$			58.1732i			1.86112i	−0.366134	+	0.930562i	$0.619319\pi$
$978$	0.362926	−	0.604218i	0.0116051	−	0.0193208i
$979$	46.5851	+	19.2962i	1.48887	+	0.616709i
$980$	−33.3878	−	84.6632i	−1.06653	−	2.70447i
$981$	37.9747	−	15.7296i	1.21244	−	0.502208i
$982$	44.6882	−	11.1493i	1.42606	−	0.355787i
$983$	8.12327	−	19.6113i	0.259092	−	0.625504i	−0.739787	−	0.672841i	$-0.765074\pi$
$983$	8.12327	−	19.6113i	0.259092	−	0.625504i	0.998879	+	0.0473375i	$0.0150736\pi$
$984$	−0.0808286	+	0.0728452i	−0.00257672	+	0.00232222i
$985$	12.0241	+	6.66376i	0.383121	+	0.212325i
$986$	6.49206	+	20.6567i	0.206749	+	0.657844i
$987$	−0.0964627	+	0.0964627i	−0.00307044	+	0.00307044i
$988$	18.7554	+	35.2479i	0.596688	+	1.12138i
$989$	−16.3264	+	6.76263i	−0.519151	+	0.215039i
$990$	18.3896	+	31.8343i	0.584460	+	1.01176i
$991$	−14.2178	+	5.88922i	−0.451645	+	0.187077i	−0.596898	−	0.802317i	$-0.703600\pi$
$991$	−14.2178	+	5.88922i	−0.451645	+	0.187077i	0.145253	+	0.989394i	$0.453600\pi$
$992$	7.28081	−	7.95776i	0.231166	−	0.252659i
$993$	−0.623883	+	0.258421i	−0.0197983	+	0.00820074i
$994$	−106.803	+	26.6463i	−3.38759	+	0.845170i
$995$	15.9212	−	28.7284i	0.504736	−	0.910750i
$996$	0.0717276	−	0.00692863i	0.00227278	−	0.000219542i
$997$	−6.85806	−	16.5568i	−0.217197	−	0.524360i	0.777299	−	0.629131i	$-0.216589\pi$
$997$	−6.85806	−	16.5568i	−0.217197	−	0.524360i	−0.994496	+	0.104771i	$0.966589\pi$
$998$	−8.24730	−	11.1420i	−0.261064	−	0.352695i
$999$		−	0.320252i		−	0.0101323i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	680.2.bz.a.563.69	yes	416
5.2	odd	4		680.2.bw.a.427.88	yes	416
8.3	odd	2	inner	680.2.bz.a.563.70	yes	416
17.9	even	8		680.2.bw.a.43.17	✓	416
40.27	even	4		680.2.bw.a.427.17	yes	416
85.77	odd	8	inner	680.2.bz.a.587.69	yes	416
136.43	odd	8		680.2.bw.a.43.88	yes	416
680.587	even	8	inner	680.2.bz.a.587.70	yes	416

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
680.2.bw.a.43.17	✓	416	17.9	even	8
680.2.bw.a.43.88	yes	416	136.43	odd	8
680.2.bw.a.427.17	yes	416	40.27	even	4
680.2.bw.a.427.88	yes	416	5.2	odd	4
680.2.bz.a.563.69	yes	416	1.1	even	1	trivial
680.2.bz.a.563.70	yes	416	8.3	odd	2	inner
680.2.bz.a.587.69	yes	416	85.77	odd	8	inner
680.2.bz.a.587.70	yes	416	680.587	even	8	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:	\( N \)	\(=\)	\( 680 = 2^{3} \cdot 5 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	680.bz (of order \(8\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.728189 - 1.21233i) q^{2} +(-0.0327956 - 0.0135844i) q^{3} +(-0.939481 - 1.76561i) q^{4} +(1.39213 + 1.74985i) q^{5} +(-0.0403501 + 0.0298670i) q^{6} +(-4.83165 + 2.00134i) q^{7} +(-2.82462 - 0.146738i) q^{8} +(-2.12043 - 2.12043i) q^{9} +O(q^{10})\)	\(q+(0.728189 - 1.21233i) q^{2} +(-0.0327956 - 0.0135844i) q^{3} +(-0.939481 - 1.76561i) q^{4} +(1.39213 + 1.74985i) q^{5} +(-0.0403501 + 0.0298670i) q^{6} +(-4.83165 + 2.00134i) q^{7} +(-2.82462 - 0.146738i) q^{8} +(-2.12043 - 2.12043i) q^{9} +(3.13513 - 0.413504i) q^{10} +(-3.58180 - 1.48363i) q^{11} +(0.00682612 + 0.0706664i) q^{12} +(3.78984 + 3.78984i) q^{13} +(-1.09208 + 7.31490i) q^{14} +(-0.0218853 - 0.0762985i) q^{15} +(-2.23475 + 3.31751i) q^{16} +(-1.80346 - 3.70777i) q^{17} +(-4.11473 + 1.02658i) q^{18} +(-2.63383 + 2.63383i) q^{19} +(1.78166 - 4.10191i) q^{20} +0.185644 q^{21} +(-4.40687 + 3.26195i) q^{22} +(-3.18338 + 1.31860i) q^{23} +(0.0906416 + 0.0431830i) q^{24} +(-1.12393 + 4.87204i) q^{25} +(7.35425 - 1.83481i) q^{26} +(0.0814891 + 0.196732i) q^{27} +(8.07282 + 6.65059i) q^{28} +(-1.42107 - 3.43077i) q^{29} +(-0.108435 - 0.0290276i) q^{30} +(-0.729663 - 1.76156i) q^{31} +(2.39459 + 5.12503i) q^{32} +(0.0973129 + 0.0973129i) q^{33} +(-5.80829 - 0.513568i) q^{34} +(-10.2283 - 5.66852i) q^{35} +(-1.75175 + 5.73595i) q^{36} +(-1.38946 - 0.575535i) q^{37} +(1.27514 + 5.11099i) q^{38} +(-0.0728074 - 0.175773i) q^{39} +(-3.67548 - 5.14693i) q^{40} +(-0.414729 + 1.00125i) q^{41} +(0.135184 - 0.225061i) q^{42} +5.12864 q^{43} +(0.745520 + 7.71789i) q^{44} +(0.758505 - 6.66235i) q^{45} +(-0.719529 + 4.81950i) q^{46} +(-0.519612 + 0.519612i) q^{47} +(0.118356 - 0.0784420i) q^{48} +(14.3898 - 14.3898i) q^{49} +(5.08808 + 4.91034i) q^{50} +(0.00877787 + 0.146097i) q^{51} +(3.13090 - 10.2519i) q^{52} -3.61147 q^{53} +(0.297844 + 0.0444667i) q^{54} +(-2.39022 - 8.33300i) q^{55} +(13.9412 - 4.94402i) q^{56} +(0.122157 - 0.0505990i) q^{57} +(-5.19403 - 0.775444i) q^{58} +(-0.780898 - 0.780898i) q^{59} +(-0.114153 + 0.110322i) q^{60} +(-7.86852 - 3.25925i) q^{61} +(-2.66692 - 0.398159i) q^{62} +(14.4889 + 6.00148i) q^{63} +(7.95694 + 0.828960i) q^{64} +(-1.35568 + 11.9076i) q^{65} +(0.188837 - 0.0471130i) q^{66} +(5.89290 - 5.89290i) q^{67} +(-4.85215 + 6.66758i) q^{68} +0.122313 q^{69} +(-14.3203 + 8.27234i) q^{70} +(5.69563 + 13.7505i) q^{71} +(5.67825 + 6.30055i) q^{72} +(-3.74741 + 9.04705i) q^{73} +(-1.70953 + 1.26539i) q^{74} +(0.103043 - 0.144514i) q^{75} +(7.12474 + 2.17588i) q^{76} +20.2752 q^{77} +(-0.266112 - 0.0397293i) q^{78} +(-2.69275 - 1.11537i) q^{79} +(-8.91621 + 0.707947i) q^{80} +8.98866i q^{81} +(0.911837 + 1.23188i) q^{82} -1.01502i q^{83} +(-0.174409 - 0.327774i) q^{84} +(3.97736 - 8.31749i) q^{85} +(3.73462 - 6.21760i) q^{86} +0.131818i q^{87} +(9.89950 + 4.71627i) q^{88} -13.0061 q^{89} +(-7.52462 - 5.77101i) q^{90} +(-25.8959 - 10.7264i) q^{91} +(5.31886 + 4.38181i) q^{92} +0.0676834i q^{93} +(0.251565 + 1.00832i) q^{94} +(-8.27543 - 0.942154i) q^{95} +(-0.00891170 - 0.200607i) q^{96} +(10.1835 + 4.21813i) q^{97} +(-6.96664 - 27.9236i) q^{98} +(4.44902 + 10.7409i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 416 q - 8 q^{2} - 8 q^{3} - 8 q^{8}+O(q^{10}) \) 416 * q - 8 * q^2 - 8 * q^3 - 8 * q^8	\( 416 q - 8 q^{2} - 8 q^{3} - 8 q^{8} + 4 q^{10} - 16 q^{11} - 16 q^{12} + 16 q^{14} - 16 q^{16} - 16 q^{17} - 8 q^{18} + 32 q^{19} + 12 q^{20} - 12 q^{22} - 24 q^{24} - 16 q^{25} + 8 q^{26} - 32 q^{27} + 44 q^{28} + 16 q^{30} - 8 q^{32} - 16 q^{33} - 16 q^{35} - 72 q^{36} - 16 q^{38} + 16 q^{40} - 16 q^{41} - 16 q^{43} + 32 q^{46} - 36 q^{48} - 48 q^{50} - 16 q^{51} + 24 q^{52} - 16 q^{54} - 8 q^{56} + 16 q^{57} + 8 q^{58} + 64 q^{60} - 56 q^{62} - 48 q^{64} - 8 q^{65} - 8 q^{66} - 16 q^{67} - 12 q^{68} - 88 q^{70} - 24 q^{72} + 32 q^{73} + 16 q^{74} - 32 q^{75} - 40 q^{76} - 84 q^{78} + 16 q^{80} + 28 q^{82} - 48 q^{86} + 8 q^{88} - 32 q^{90} - 16 q^{91} + 48 q^{92} + 24 q^{94} - 8 q^{96} - 16 q^{97} + 40 q^{98}+O(q^{100}) \) 416 * q - 8 * q^2 - 8 * q^3 - 8 * q^8 + 4 * q^10 - 16 * q^11 - 16 * q^12 + 16 * q^14 - 16 * q^16 - 16 * q^17 - 8 * q^18 + 32 * q^19 + 12 * q^20 - 12 * q^22 - 24 * q^24 - 16 * q^25 + 8 * q^26 - 32 * q^27 + 44 * q^28 + 16 * q^30 - 8 * q^32 - 16 * q^33 - 16 * q^35 - 72 * q^36 - 16 * q^38 + 16 * q^40 - 16 * q^41 - 16 * q^43 + 32 * q^46 - 36 * q^48 - 48 * q^50 - 16 * q^51 + 24 * q^52 - 16 * q^54 - 8 * q^56 + 16 * q^57 + 8 * q^58 + 64 * q^60 - 56 * q^62 - 48 * q^64 - 8 * q^65 - 8 * q^66 - 16 * q^67 - 12 * q^68 - 88 * q^70 - 24 * q^72 + 32 * q^73 + 16 * q^74 - 32 * q^75 - 40 * q^76 - 84 * q^78 + 16 * q^80 + 28 * q^82 - 48 * q^86 + 8 * q^88 - 32 * q^90 - 16 * q^91 + 48 * q^92 + 24 * q^94 - 8 * q^96 - 16 * q^97 + 40 * q^98

Introduction

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